text stringlengths 270 8.19k | meta dict |
|---|---|
-1) - (-113 - -110))?
-2/3
What is the value of (((-32)/18)/(240/360) + 0)/(-6)?
4/9
What is the value of ((-4)/(-6))/((-14)/21) - 165/(-150)?
1/10
What is the value of ((-151 + 146)*(-42)/(-5))/((-8)/(-2))?
-21/2
(2724/3178 - (-716)/14)/2
26
What is the value of (-11178)/414 - (-1293)/48?
-1/16
What is ((-11)/((-44)/(-10)))/((-3)/(-6))?
-5
Evaluate 2/(-15)*(-14 - (-220)/30).
8/9
Calculate 12 - (-50138)/(-2332)*1/(2/4).
-31
Calculate (-4)/15 + (-16560)/(-1350).
12
What is (-435)/126 + 7/((-441)/(-18)) + 2?
-7/6
Evaluate 15 + (-3584)/200 - -3.
2/25
5*(-4)/50 + (-3)/(-5)
1/5
(1 - (-2)/(-8))/(-15*(-2)/120)
3
Calculate (18648/45)/14 - (-8 - (-344)/40).
29
Evaluate (-588)/(-32) + 125/200.
19
2/(-3) - (-38 + 19)*(-2)/6
-7
What is the value of ((-126)/8 + -3)*(-21)/((-945)/60)?
-25
What is the value of (-7)/(-21)*-6 + (-10)/6*3?
-7
Calculate 11/2 - 180/(-120).
7
Evaluate 91/637*-2*14/6.
-2/3
Evaluate (3 + 3/(-6))/((-117)/(-234)).
5
Evaluate ((-11)/2)/((-1)/(-9) + (-1325)/(-954)).
-11/3
Evaluate 4/18*1545/(-8755).
-2/51
What is (-2 + 1)/((-343)/(-490))?
-10/7
Calculate 6/69 - (37206/1219)/6.
-5
Evaluate (154/28 - 7 - -2)/((-55)/2).
-1/55
What is the value of (30/(-870)*-29)/(-1 + 14/16)?
-8
(-168)/(-12) + 31050/(-2208)
-1/16
Evaluate (-11 - -4)*2/(-3)*30/(-20).
-7
What is the value of (-420)/(-1470)*(-3)/(-2)?
3/7
Evaluate (70/(-20) + 5)/((-12)/(-44)).
11/2
What is 2190/(-115) - 41/(-943)?
-19
(0 + (-6)/(-21))/((-220)/924)
-6/5
What is the value of 11/(-44)*(62 - 18)?
-11
((-515)/(-15) + 20/12)*6/27
8
Calculate (-42)/(-6) + (-27)/2 + 9.
5/2
What is ((-10)/80 - 27/40)*(-10)/(-4)?
-2
What is (756/273)/(-9)*2/4?
-2/13
Calculate 22632/(-1845) - 6*-2.
-4/15
What is the value of (-220)/(-28) - (16 - 1800/105)?
9
What is the value of ((-14)/(-18))/((-344)/(-1032))?
7/3
What is (-23)/92 - (3 - 52/16)?
0
Calculate 0*(-2)/(-6) - 37/((-296)/(-112)).
-14
Evaluate 1/(-6) + (-238)/(-420).
2/5
(-114)/(-18) + (-40)/(-15)
9
What is ((-11281)/(-4668))/(28/10 + -2) - 3?
1/48
Evaluate ((-1040)/312)/(-9 + -1).
1/3
(-28)/144*(-544)/(-68)
-14/9
(144/(-21) - -15) + -8
1/7
What is the value of 63/(693/143) - (-249)/(-19)?
-2/19
Calculate 2 - (-126)/(90/(-15)).
-19
What is the value of 1432/(-40812)*(-3)/(-2)?
-1/19
What is (-1 + (-44)/(-8))/(4/8)?
9
What is (-200)/(-30) + 8/6*(-7 - -4)?
8/3
Calculate -25 + 190/10 - (30/(-6) + 12).
-13
Calculate (-36)/33 + 1 - (-3)/(231/(-1456)).
-19
-3*(2/16)/(357/(-2856))
3
Calculate (-43)/(688/(-192))*-1*(-35)/(-20).
-21
What is the value of (-1140)/(-180) + (-10)/(-2) + -12?
-2/3
Evaluate 689/7579*(-1 + 56).
5
(-2400)/(-168) + -14 - 111/21
-5
What is the value of (-3 + (-207)/(-45))*(-25)/70?
-4/7
Evaluate 8/(-6) + (1 + 477/(-324))*-3.
1/12
Evaluate (-12)/(-9) + (-529)/(-69).
9
Calculate 13 - (19 - (-16)/(-3)).
-2/3
2/(-23) + (164/(-345))/(2/3)
-4/5
Evaluate (94/(-329))/(2/(-98)).
14
What is 75/250 + 3 + (-285)/(-50)?
9
((-5)/((-15)/27))/(158/(-316))
-18
(-115632)/(-29200) + (-2)/(-50)
4
What is ((-36)/14)/(888/(-560) + 27/15)?
-12
What is the value of (-55)/(-155)*252/1386?
2/31
What is the value of 3/(-7)*(-7623)/(-594)?
-11/2
Evaluate 2*5/2 - 516/(-86).
11
Evaluate (1/(-3))/(-4 - (-767)/195) - -15.
20
What is 62/13 - (-34)/(34/(-5))?
-3/13
((-240)/(-180)*(-3)/26)/1
-2/13
(-12)/14*3199/(-5484)
1/2
What is the value of 33/(6 + -9) - (-3 - -3)?
-11
207/297 + (-14)/161 + (-17)/69
4/11
Evaluate 200/(-250)*(25/(-20))/((-2)/12).
-6
Calculate (-23)/30*17/68 - 148/(-1184).
-1/15
10/(-3) - (0 - (3 - (-1)/(-1)))
-4/3
What is (-226)/46 + (66 - 61)?
2/23
Evaluate -4 + (-126)/(-28) - (-2 - (-7)/4).
3/4
Evaluate (23 - 912/48)/((-16)/30).
-15/2
Evaluate 282/(-611)*(-52)/12.
2
(-2 + 30/18)/((-3)/9) + -6
-5
What is (3/(-18) - (246/36 - 7))/1?
0
What is (32/128)/(5/(-24))?
-6/5
((-2856)/91)/(-17) - (8/2 - 2)
-2/13
Calculate ((-14)/4)/(1946/1112).
-2
What is 2 + (-5635)/1050 + (-1 - 13/(-15))?
-7/2
What is the value of 9*(2/(-4) + (-34)/(-204))?
-3
(-4307)/3066 + 3/2
2/21
Evaluate (-4)/78 + 15447/(-2223).
-7
Calculate (4/(-6))/(13/741) - -19.
-19
Evaluate (1 - (-20276)/(-925)) + 21.
2/25
Evaluate (-4*13/(-208))/(2/88).
11
Evaluate (1/(-9))/(-23 - (-24816)/1080).
5
Evaluate (-3567)/6*(-1922)/39401.
29
What is the value of 1482/(-76) + 1/((-12)/(-168))?
-11/2
12/(-240)*32/4*25
-10
What is the value of 50/(-625) - 7307/1475 - -5?
-2/59
Calculate 132/(-462) + (2982/(-49))/(-3).
20
Evaluate ((-2)/18)/(40/120).
-1/3
(63/24)/(1/(-64)*-12)
14
What is the value of (-158)/(-553) + ((-122)/(-14) - 0)?
9
What is the value of ((-89)/356)/((-10)/(-48))?
-6/5
Calculate 9 - (623/70 + (-20)/50).
1/2
(-20 + (0 - -18) - (-20)/6)*-6
-8
What is 11 - (-2556)/(-150) - (-22)/550?
-6
What is ((-891)/110 + 8)/(4/(-90))?
9/4
Evaluate 1/4*904/(-5537).
-2/49
Evaluate (2/8)/((630/(-792))/35).
-11
Evaluate 8/(-320)*4*(-4)/(-5).
-2/25
Evaluate ((-600)/(-175))/((-20)/(-35)) + (2 - 8).
0
Evaluate ((-12)/54)/((-130)/15 - -9).
-2/3
What is -6*((-1403)/(-759) + (-6)/33)?
-10
What is the value of ((24 - 7024/312) + (-2)/13)/(-38)?
-2/57
((5/2)/1)/(605/66 + -9)
15
What is the value of 20/6 + (-86812)/25806 - (-6)/(-69)?
-2/17
Evaluate 11/(-21)*(-846)/(-4653).
-2/21
What is (-6157)/(-2358) - 30/12?
1/9
What is the value of 147/7 + 4*-2*(-23)/(-46)?
17
What is 4/30 - 4550/375?
-12
Calculate (8 - (-407)/(-33))/(6/36).
-26
What is ((3/(-82))/(-1))/(27/180*5)?
2/41
Evaluate (-102)/6 - (45 + -25 - 13).
-24
What is (2444/(-195) + 12)*(-1)/(-4)?
-2/15
Evaluate ((-5)/(50/16))/((-38)/(-13 + -6)).
-4/5
Evaluate (3/(-9)*14 - -4)/((-158)/(-1659)).
-7
Evaluate (-15 - (-1232)/80)/((-2)/55).
-11
What is 3/7*322/345?
2/5
Calculate (20 + (-16192)/828)/((-8)/(-9)).
1/2
356*8/(-416) + 7
2/13
What is ((-2)/28)/((-2)/7)*36?
9
What is the value of (12/18)/(316/9006)?
19
Calculate 348/(-29) + 14 + -3 + -8.
-9
What is (-8)/(-2) + 4 + 19 + 2717/(-99)?
-4/9
9*(-6)/(-72) - ((-70)/10 - -12)
-17/4
Calculate ((-2043)/(-54) + -38)/((-1)/3).
1/2
What is (-6)/15*12/(24 - -132)?
-2/65
What is the value of (1258/3145)/(16/(-10))?
-1/4
What is (-109272)/(-2030) - 55 - -2*(-9)/42?
-8/5
Evaluate ((-3)/(-12))/((91/(-56))/13).
-2
What is the value of 8 - (-16)/(-20)*(-150)/(-16)?
1/2
Calculate (-4)/14*(55 - 83).
8
What is -7 + 5 + 9 + (-2 - -3)*-10?
-3
Calculate ((-2)/8*10 - -2)*(-20628)/(-1910).
-27/5
What is 618/126 + 2 - (13 - 6)?
-2/21
What is (-26 + -370)/11 - -22?
-14
Evaluate -1*4/(-26) + 15 + (-4192)/208.
-5
Evaluate ((-9)/(-30))/((-221)/(-2210)).
3
What is (450/250)/((-34)/(-10) - 4)?
-3
What is 12 - (-15*5/(-275) + 56/(-44))?
13
Calculate (-17391)/(-682)*(250/108 - 2) + -8.
1/36
What is ((-2)/24)/(32/(21120/(-99)))?
5/9
Evaluate (-1 + 2 + 0)/(4147/(-1131)).
-3/11
What is 489/326 - (-2)/8?
7/4
What is the value of 196/(-238)*204/(-24)?
7
What is (33/539)/(36/(-168))?
-2/7
Evaluate -4*(0 + 22/352).
-1/4
Calculate (288/27)/(126/(-189)).
-16
Calculate ((-2)/(-26))/((-60)/144*-6).
2/65
What is the value of 60/(-161) - ((-774)/1386 + (-24)/(-88))?
-2/23
Evaluate ((-182)/49 + 2)/(0 + (-3)/(-21)).
-12
16 - -5 - (46 + -29)
4
Calculate -9*(-8)/252*(-756)/(-297).
8/11
What is (-1)/10 - (13032/480 + -28)?
3/4
What is the value of -4*5/(-8)*-8*(-19)/114?
10/3
Calculate (24/(-15))/((-594)/11 + 2).
2/65
11130/(-1470) - 8/(-14)
-7
(-189)/(-441)*21/(-27)
-1/3
What is 61 + -50 + -28 + 4?
-13
What is the value of (18/(-30))/((-321)/(-856))?
-8/5
((-264)/(-192)*(-4)/(-6))/((-8)/(-32))
11/3
Evaluate 48/18*(1 + 4/(-16)).
2
(-1254)/(-1848) - (-9)/12
10/7
What is ((-2)/8)/((-14)/196) - 5?
-3/2
What is (31/(-124))/((-4)/176)?
11
What is the value of (-14)/(-8) + (-6)/(-20)*2890/(-340)?
-4/5
What is the value of 266/35*(-2)/(-4) - (-1 + 4)?
4/5
What is the value of (1 - 3/2)/((-5211)/135 - -39)?
-5/4
Calculate ((-2751)/189 + 13)*(-8)/(-28).
-4/9
Calculate (-3*(-1 + 2))/((-45)/(-75)).
-5
Calculate 40/7920*-183 + 1/(-6).
-12/11
What is -2 + 8*(-8 + -3)/(-22)?
2
What is (27 + 6)/(147/98)?
22
Evaluate (-37)/42 - (-28)/(-42)*-1.
-3/14
((-42)/168)/(2/(-496)*-2)
-31
(-12)/(-46) - (-176310)/15019
12
Calculate (-1990)/(-95) + 22 + -43.
-1/19
Calculate (-2)/2 + -9*(2288/72)/13.
-23
What is the value of -16*1 - 5 - -20*10/40?
-16
What is -1 + -27 - (-296 + 287)?
-19
What is the value of (11890/779 + -15)/((-10)/(-4))?
2/19
What is (-4 + (-350)/(-105))/((8/ | {
"pile_set_name": "DM Mathematics"
} |
.
-2088*n**2
Collect the terms in 25 - 408*m + 1231*m - 411*m + 19 - 410*m.
2*m + 44
Collect the terms in 51*d**2 - 46*d**2 - 12*d**2.
-7*d**2
Collect the terms in -72 + 53*g - 126*g + 72 - 29*g**3 + 73*g.
-29*g**3
Collect the terms in -80*k**2 - 183399 + 183399 - k.
-80*k**2 - k
Collect the terms in 2*m + 43 - 217 - 9*m.
-7*m - 174
Collect the terms in -125*t - 127*t + 489*t - 124*t - 121*t.
-8*t
Collect the terms in 216*k**2 - 146*k**2 - 873*k**2.
-803*k**2
Collect the terms in -19*h + 4*h - 8*h + 33*h - 9*h.
h
Collect the terms in 5450 + 65*a**2 - 5450.
65*a**2
Collect the terms in -18*w**3 + 117*w**3 + 3*w**3 + 19*w**3.
121*w**3
Collect the terms in 46*b - 7*b - 33*b - 5*b.
b
Collect the terms in 34*m**2 - 3*m**2 + 8*m - 16*m + 8*m.
31*m**2
Collect the terms in -27394*b**2 + 50*b**3 + 27394*b**2.
50*b**3
Collect the terms in -4*a**2 - 2*a**2 - a**2 - 10*a**2 + 2*a**2.
-15*a**2
Collect the terms in -950 + 950 - 77*n**2.
-77*n**2
Collect the terms in -16*r**3 - 74820 + 74820.
-16*r**3
Collect the terms in -46*c**2 - 1566*c + 4695*c - 1564*c - 1565*c + 1.
-46*c**2 + 1
Collect the terms in 6816*o + 16*o**3 - 13667*o + 6851*o.
16*o**3
Collect the terms in 3 - 1 - 3 + 62534*i.
62534*i - 1
Collect the terms in -21*c - c**3 - 39 + 6*c + 89 + 207.
-c**3 - 15*c + 257
Collect the terms in 4*z - 55*z**2 + 4*z + 2*z - 60*z**2 + 117*z**2.
2*z**2 + 10*z
Collect the terms in -28*f**2 + 5 - 3098*f + 3098*f.
-28*f**2 + 5
Collect the terms in -32675*t**2 + 42163*t**2 - 194623*t**2.
-185135*t**2
Collect the terms in 9*k**2 - 23*k**2 + 49*k**2 - 18*k**2 - 13*k**2.
4*k**2
Collect the terms in s**3 + 14*s**2 - 4*s**3 + 7*s**3 - 10*s**2 + 3*s**3.
7*s**3 + 4*s**2
Collect the terms in -9713*b**3 + 19428*b**3 - 9712*b**3.
3*b**3
Collect the terms in 208*s**3 - s + 1267*s**3 - 132*s**3 + s.
1343*s**3
Collect the terms in -3*j - 2*j**3 + 0*j + 0*j**3 - 11 + j.
-2*j**3 - 2*j - 11
Collect the terms in 596*t - 994*t + 398*t - 7*t**2.
-7*t**2
Collect the terms in -39*b - 90*b - 109*b - 119*b + 453*b.
96*b
Collect the terms in 627 + 28*h**2 - 627 + 19*h**2 - 54*h**2.
-7*h**2
Collect the terms in -89*q + 130*q - 39*q.
2*q
Collect the terms in -1458*q**2 + 709*q**2 + 715*q**2.
-34*q**2
Collect the terms in 262*n**2 + 460*n**2 + 1633*n**2.
2355*n**2
Collect the terms in 48 - 21 - 11 - 7*l**2 - 16.
-7*l**2
Collect the terms in 1640 - 3*c**3 + 1609 - 3245.
-3*c**3 + 4
Collect the terms in -162*r**2 - 162*r**2 - 162*r**2 + 491*r**2.
5*r**2
Collect the terms in 106010*g - 106010*g + 166*g**2.
166*g**2
Collect the terms in 866 + 0*g + 467 - 3*g.
-3*g + 1333
Collect the terms in 17*t**2 - 125 + 126 + 20*t**2 - 49*t**2.
-12*t**2 + 1
Collect the terms in 3 - 1661*k**2 + 835*k**2 - 3 + 831*k**2.
5*k**2
Collect the terms in 584386*y - 1168773*y + 584388*y.
y
Collect the terms in -712 + 48 + 345 + 2*n.
2*n - 319
Collect the terms in -1294 + 10*y + 630 + 666.
10*y + 2
Collect the terms in -14*p - 7*p - 1160 + 1160.
-21*p
Collect the terms in 22*y**3 + 14*y**3 - 14*y**3 + 18*y**3.
40*y**3
Collect the terms in -10*c**3 - 73*c - 48 - 69*c + 142*c.
-10*c**3 - 48
Collect the terms in -11174270*d**3 - 11174267*d**3 + 22348540*d**3.
3*d**3
Collect the terms in 19477*b**3 - 2*b**2 + 2*b**2 - 39013*b**3 + 19538*b**3.
2*b**3
Collect the terms in 98*d**3 - 208*d**3 + 74*d**3.
-36*d**3
Collect the terms in -8953*l**2 + 17892*l**2 - 8939*l**2 - 2*l**3.
-2*l**3
Collect the terms in 4826051*k**2 + 4826042*k**2 - 9652086*k**2.
7*k**2
Collect the terms in -50649*o**3 + 101276*o**3 - 50641*o**3.
-14*o**3
Collect the terms in 10121422903 + 20*s**2 - 10121422903.
20*s**2
Collect the terms in -3*d + 17*d**2 - 23*d**2 + 3 + 3*d.
-6*d**2 + 3
Collect the terms in 51*d + 0 + 1 - 5 + 2 - 54*d.
-3*d - 2
Collect the terms in -3132*z + 6175*z - 3100*z.
-57*z
Collect the terms in -55 + 25 + 961*y + 13.
961*y - 17
Collect the terms in 4*d**3 + 11*d**3 - 53*d**3 + 18*d**3 + 12*d**3.
-8*d**3
Collect the terms in -10 - 178*z**2 + 10 + 177*z**2.
-z**2
Collect the terms in 484*g - 157*g + 13 - 161*g - 167*g.
-g + 13
Collect the terms in 0*a - 23 - 104*a**3 + 38*a**3 + 0*a.
-66*a**3 - 23
Collect the terms in v**2 - 46 - 492 - 4*v**2 + 538.
-3*v**2
Collect the terms in 55*n - 11*n - 42*n - 7*n.
-5*n
Collect the terms in 32*t + 2195 - 2195.
32*t
Collect the terms in 935*s - 2799*s + 930*s + 933*s.
-s
Collect the terms in 7*j - 45*j**3 + 10*j**3 - 9*j + 18*j - 13*j.
-35*j**3 + 3*j
Collect the terms in 88*m**2 - 358*m + 360*m - 8*m**2.
80*m**2 + 2*m
Collect the terms in 3*b**2 - 3*b**2 - 12476*b**3 - 1562*b**3.
-14038*b**3
Collect the terms in -u + 93*u**3 + 39 - 12 - 27.
93*u**3 - u
Collect the terms in 6579*k + 15521*k + 4042*k.
26142*k
Collect the terms in 13*l - 9324*l**2 - 13*l + 35433*l**2.
26109*l**2
Collect the terms in -56*b**3 + 103*b**3 + 2*b**3 - 59*b**3.
-10*b**3
Collect the terms in 4*j - 168*j**2 - 123*j**2 - 85*j**2 - 181*j**2.
-557*j**2 + 4*j
Collect the terms in -99597219*d + 99597219*d + d**2.
d**2
Collect the terms in -43 - 187*g**2 + 189*g**2 + 43.
2*g**2
Collect the terms in -8857*n**2 + 2 - 8922*n**2 - 7279*n**2.
-25058*n**2 + 2
Collect the terms in 85*x + 2 - 1 + 1 + 0.
85*x + 2
Collect the terms in -21*f + 23 - 50 + 19*f.
-2*f - 27
Collect the terms in -2*p + 7*p - 5*p + 0*p - 732*p**3.
-732*p**3
Collect the terms in 136*l**2 + 223*l**2 - 516*l**2.
-157*l**2
Collect the terms in -87*m**3 - 424*m + 847*m - 423*m + 83*m**3.
-4*m**3
Collect the terms in 116*m - 117*m + 16*m + 97*m.
112*m
Collect the terms in -287617*j**2 + 23*j**3 + 287617*j**2 - 96*j**3.
-73*j**3
Collect the terms in 2 - 2196*l - 2 + 2188*l.
-8*l
Collect the terms in -10744*b**2 + 21493*b**2 - 10756*b**2 + 5.
-7*b**2 + 5
Collect the terms in 577*p**2 + 13*p**2 + 198*p**2.
788*p**2
Collect the terms in 100377*c**2 - 50189*c**2 - 50189*c**2.
-c**2
Collect the terms in 485*t**3 + 390*t**3 + 252*t**3 + 166*t**3.
1293*t**3
Collect the terms in -476*n**3 + 185*n**3 + 159*n**3 + 131*n**3.
-n**3
Collect the terms in -37 - 31 - 29 - 47*h + 99.
-47*h + 2
Collect the terms in -3241 + 3241 + 3125*n**3.
3125*n**3
Collect the terms in -3 - 951*g**2 + 780*g**2 + 7*g**3 + 1 + 2.
7*g**3 - 171*g**2
Collect the terms in -1973 - 1965 - 3*q**3 - 1964 + 5902.
-3*q**3
Collect the terms in -570*i + 0 - 646*i + 2 + 1898*i - 614*i.
68*i + 2
Collect the terms in 894*k - 923*k - 859*k - 686*k - 525*k.
-2099*k
Collect the terms in 1373*g**3 - g + g - 1370*g**3.
3*g**3
Collect the terms in -144*c**3 + 10*c**3 - 134*c**3.
-268*c**3
Collect the terms in -3*w + 3*w - 2724*w**3 + 0*w - 2761*w**3 + 5482*w**3.
-3*w**3
Collect the terms in -2*x + 11*x**3 - 27 + 4*x**3 + 3*x.
15*x**3 + x - 27
Collect the terms in 179*i + 14*i**2 - 175*i - 4*i.
14*i**2
Collect the terms in -391*s**2 - 7*s**3 + 423*s**2 + 0*s**3 + 623*s**2.
-7*s**3 + 655*s**2
Collect the terms in 101065 - 477*a**3 + 6*a**2 - 6*a**2 - 101065.
-477*a**3
Collect the terms in -2256 - 42*h**2 + 2256.
-42*h**2
Collect the terms in 370*a + 1397*a + 4507*a + 699*a.
6973*a
Collect the terms in -15*r + 33*r - 8*r - 12*r + 18.
-2*r + 18
Collect the terms in 3218*i**2 + 2967*i**2 - 6207*i**2.
-22*i**2
Collect the terms in 0 + 5*i**3 - 1160*i + 0 + 1157*i.
5*i**3 - 3*i
Collect the terms in 425*j - 297*j - 118*j.
10*j
Collect the terms in -193*b**3 - 195*b**3 + 986*b**3 - 602*b**3.
-4*b**3
Collect the terms in 76*l - 39*l - 52*l - 97*l**2.
-97*l**2 - 15*l
Collect the terms in 1877860*t**3 - t + t - 938930*t**3 - 938929*t**3.
t**3
Collect the terms in -18*g + 2*g**3 + 18*g + 491 - 491.
2*g**3
Collect the terms in -574*z - 519*z - 4 - 34*z.
-1127*z - 4
Collect the terms in 5942*u**2 - 2988*u**2 - 2955*u**2.
-u**2
Collect the terms in 14063*c**2 - 28118*c**2 - 3*c**3 - 32*c**3 + 14055*c**2.
-35*c**3
Collect the terms in -15*n - 3 + 1 + 68*n + 2.
53*n
Collect the terms in 25 - 25 - 838*c**2 - 375*c**2.
-1213*c**2
Collect the terms in -u**3 - 2*u**3 + 427 - 840 + 352.
-3*u**3 - 61
Collect the terms in 997 + 44*w**3 - 997.
44*w**3
Collect the terms in 4*z**2 + 2159*z + 9*z**3 - 2159*z - 2*z**2.
9*z**3 + 2*z**2
Collect the terms in 126*r - 42*r - 37*r + r**2 - 47*r.
r**2
Collect the terms in 1237*z**2 - 1234*z**2 + 23043 - 23043.
3*z**2
Collect the terms in -3*s**3 - 2044*s**2 + s**3 + 155*s**2 - 6*s + 145*s**2.
-2*s**3 - 1744 | {
"pile_set_name": "DM Mathematics"
} |
reatest common factor of 139 and 632033.
139
What is the greatest common divisor of 110 and 17226?
22
Calculate the greatest common factor of 68701 and 39353.
667
Calculate the highest common divisor of 6745 and 1633.
71
Calculate the greatest common divisor of 2987 and 47689.
103
What is the highest common factor of 4920 and 4640?
40
Calculate the greatest common divisor of 1401878 and 226.
226
Calculate the highest common divisor of 162 and 260874.
54
What is the greatest common factor of 409288 and 72?
8
Calculate the greatest common divisor of 1538272 and 424.
424
Calculate the greatest common divisor of 372467 and 59.
59
What is the highest common factor of 175 and 13902?
7
Calculate the highest common factor of 10824 and 367032.
984
What is the highest common factor of 8072705 and 170?
85
What is the highest common divisor of 12575 and 225?
25
Calculate the greatest common divisor of 833 and 6776.
7
What is the greatest common factor of 1496 and 105128?
136
What is the highest common factor of 837 and 6975?
279
What is the highest common factor of 443598 and 306?
102
What is the greatest common divisor of 3041550 and 6?
6
Calculate the highest common factor of 848893 and 1.
1
Calculate the highest common divisor of 747 and 4879404.
747
What is the highest common factor of 535905 and 90?
45
What is the highest common divisor of 3060 and 25551?
153
What is the greatest common factor of 1180 and 82780?
20
What is the highest common factor of 9757 and 22?
11
Calculate the highest common divisor of 19633 and 1537.
29
What is the greatest common divisor of 45 and 1261590?
15
What is the greatest common factor of 362 and 374308?
362
What is the greatest common divisor of 22672 and 443848?
872
What is the greatest common factor of 207 and 442957?
23
What is the greatest common divisor of 2624250 and 12?
6
Calculate the highest common factor of 375 and 540500.
125
Calculate the greatest common divisor of 96 and 18608.
16
Calculate the greatest common divisor of 8686 and 19190.
202
What is the highest common divisor of 768 and 6816?
96
Calculate the greatest common divisor of 2296 and 4536.
56
Calculate the greatest common divisor of 6384 and 2544.
48
What is the highest common divisor of 194 and 4742?
2
What is the highest common divisor of 404784 and 24?
24
Calculate the greatest common factor of 266 and 572852.
14
What is the highest common divisor of 152 and 382717?
19
Calculate the highest common factor of 1721204 and 688.
172
What is the greatest common divisor of 277 and 59?
1
Calculate the highest common factor of 123180 and 6.
6
Calculate the highest common divisor of 876 and 1716.
12
What is the greatest common divisor of 7 and 9898567?
7
What is the greatest common divisor of 4161 and 2337?
57
What is the greatest common divisor of 11800 and 140?
20
What is the greatest common divisor of 29189 and 101?
101
What is the highest common factor of 10062 and 126?
18
What is the greatest common divisor of 10 and 5524?
2
Calculate the greatest common factor of 6486 and 5358.
282
Calculate the highest common divisor of 83336 and 264.
88
Calculate the greatest common divisor of 1194417 and 189.
63
Calculate the highest common factor of 86541 and 2457.
273
Calculate the greatest common factor of 963 and 343149.
321
What is the highest common divisor of 92 and 10588?
4
Calculate the greatest common factor of 97390 and 25.
5
What is the greatest common factor of 3052 and 4796?
436
Calculate the highest common factor of 48 and 236688.
48
Calculate the greatest common divisor of 11573 and 1420.
71
Calculate the highest common divisor of 4063 and 5258.
239
What is the highest common divisor of 496 and 42222?
62
Calculate the highest common factor of 10 and 3401890.
10
Calculate the highest common divisor of 65 and 135.
5
What is the highest common factor of 7584948 and 42?
42
Calculate the highest common factor of 9855 and 7008.
219
What is the greatest common divisor of 555 and 45880?
185
What is the greatest common factor of 291 and 401483?
97
What is the highest common divisor of 3700110 and 4350?
870
What is the highest common factor of 2361 and 1760519?
787
What is the greatest common factor of 242 and 27698?
22
What is the greatest common factor of 5909 and 13072?
19
What is the highest common divisor of 6903 and 147186?
117
What is the greatest common factor of 526 and 764278?
526
What is the highest common divisor of 6167 and 259?
7
What is the highest common factor of 74075 and 15?
5
Calculate the highest common divisor of 2774 and 5396.
38
Calculate the highest common divisor of 8717 and 1035.
23
What is the highest common divisor of 1220 and 324215?
305
Calculate the highest common factor of 272 and 1717.
17
What is the highest common divisor of 1296 and 28?
4
What is the highest common factor of 16416 and 25099?
19
What is the highest common factor of 7474 and 1414?
202
Calculate the highest common divisor of 14 and 241514.
14
Calculate the greatest common factor of 473728 and 512.
128
Calculate the highest common factor of 1035252 and 4023.
1341
What is the highest common divisor of 1822296 and 168?
168
Calculate the highest common divisor of 6 and 55257.
3
What is the highest common factor of 2646431 and 107?
107
What is the greatest common factor of 16400 and 410?
410
Calculate the highest common factor of 185568 and 12.
12
What is the highest common factor of 1110 and 103674?
222
Calculate the greatest common divisor of 130347 and 14.
7
What is the greatest common factor of 486 and 3882?
6
Calculate the greatest common factor of 47677 and 5831.
343
Calculate the highest common divisor of 2970 and 12595.
55
What is the greatest common divisor of 69 and 1599397?
23
Calculate the greatest common divisor of 14 and 1253294.
14
What is the greatest common divisor of 352 and 135586?
22
Calculate the highest common factor of 1680 and 121632.
336
Calculate the highest common factor of 95 and 52554.
19
What is the greatest common divisor of 834 and 46982?
278
What is the greatest common divisor of 58716 and 84?
84
Calculate the highest common divisor of 3790096 and 16.
16
Calculate the greatest common divisor of 1971 and 1467.
9
Calculate the highest common divisor of 828 and 39537.
207
What is the highest common divisor of 415770 and 45?
15
What is the greatest common divisor of 256 and 105856?
128
Calculate the highest common factor of 157191 and 13137.
453
Calculate the highest common factor of 429 and 3732.
3
Calculate the highest common divisor of 334961 and 1221.
407
What is the highest common factor of 7407 and 522605?
823
Calculate the greatest common factor of 2268 and 644.
28
What is the highest common factor of 1984 and 5728?
32
Calculate the highest common factor of 3080 and 4424.
56
Calculate the highest common divisor of 14614924 and 284.
284
What is the highest common divisor of 253985 and 37937?
643
What is the greatest common factor of 109837 and 568?
71
Calculate the greatest common factor of 184 and 19274.
46
What is the greatest common factor of 411 and 231?
3
Calculate the highest common divisor of 8798030 and 30.
10
What is the highest common divisor of 1368 and 3852?
36
Calculate the greatest common factor of 241637 and 121.
121
Calculate the greatest common factor of 2005 and 2807.
401
What is the greatest common divisor of 5212086 and 942?
942
What is the greatest common divisor of 6625 and 198061?
53
Calculate the greatest common factor of 4535 and 45.
5
Calculate the greatest common divisor of 2127474 and 126.
18
Calculate the highest common factor of 23745 and 105.
15
What is the highest common divisor of 2849 and 8701?
77
What is the greatest common factor of 5800 and 20648?
232
What is the greatest common divisor of 1723904 and 962?
962
Calculate the greatest common factor of 290401 and 447.
149
What is the highest common divisor of 6567 and 30?
3
Calculate the greatest common factor of 3136671 and 69.
69
What is the greatest common factor of 2280 and 4845?
285
What is the highest common divisor of 10496 and 5084?
164
Calculate the highest common factor of 1565 and 2170.
5
What is the highest common divisor of 4870 and 1280?
10
Calculate the highest common divisor of 24716 and 508348.
668
Calculate the greatest | {
"pile_set_name": "DM Mathematics"
} |
j(k) = k**3 - 5*k**2 - k + 7. Let r be j(5). Let m be r/(-2 + q/15). What is the highest common divisor of m and 5?
5
Let i be (-4)/(0 - 4/5) + 135. Calculate the greatest common divisor of 56 and i.
28
Suppose 15 = 5*a - 5. Suppose a*l - 5*m - 74 = 3*l, m = 3*l - 292. What is the highest common factor of 33 and l?
33
Suppose 4*g + 4*w = 16, g + 3*w = -3*g + 18. Suppose -76 + 10 = -11*f. Let c be 9*(-2 + f/(-27)*-30). What is the greatest common factor of g and c?
6
Suppose -2 = -4*h + 14. Suppose 0 = v + u - 204, v + 3*u = -h*v + 1018. Calculate the greatest common divisor of 29 and v.
29
Let v(p) = p**2 + 20*p - 84. Let n be v(6). What is the highest common factor of n and 12?
12
Let q = 429 - 357. What is the highest common factor of q and 252?
36
Suppose -3*o + o = 3*c + 14, 10 = 2*o - 3*c. Let a be (2 + o)/(7/21). Suppose a*v = 4*j + 6, v + 2*v - 5*j = 3. What is the highest common divisor of v and 48?
6
Let n be 22 + 19 + (3 + -1 - 5). What is the greatest common factor of n and 608?
38
Suppose -29*s = 569 - 946. What is the greatest common divisor of 1417 and s?
13
Suppose 5*n + 96 = 4*d, d = 8*n - 10*n + 11. Calculate the highest common divisor of d and 1159.
19
Suppose -5*n + 6*n = 10. Let z(p) = -p**2 + 12*p + 12. Let f be z(n). Let m = f + -22. Calculate the highest common divisor of 2 and m.
2
Suppose -5*u - 17 = -b + 10, 5*b = -2*u. Suppose -b*z + 93 = -35. Suppose -376 = -8*p - 120. What is the greatest common divisor of z and p?
32
Suppose 3*r - 1281 = -4*r. Suppose -4*i = -3*l - r, -3*i - l = -i - 89. What is the greatest common factor of 9 and i?
9
Let c be (5 + (-1512)/(-20))*5. What is the highest common divisor of c and 13?
13
Suppose 16*g = 21*g - 115. What is the highest common divisor of 736 and g?
23
Suppose 127 = 3*c + 5*g, -2*g + 34 + 87 = 3*c. What is the greatest common factor of 403 and c?
13
Suppose 3*i + 5 = 4*m - 0, -4*i + 14 = 5*m. Let q be 1/(m/(-4)) + 10. Calculate the highest common divisor of 8 and q.
8
Suppose 0*b + 6*b = -402. Let x = 99 + b. Calculate the greatest common divisor of 224 and x.
32
Let j = 14 + 62. Let c be (76/6)/((-2)/(-3)). What is the greatest common divisor of c and j?
19
Let z(r) = 5*r - 34. Let q be z(8). Let u(c) = 2*c**2 - 4*c - 20. Let v be u(q). Calculate the greatest common divisor of 4 and v.
4
Let l(x) = -x**2 + 4*x - 88. Let t be l(0). Let d = -77 - t. What is the highest common factor of 88 and d?
11
Let o = -9 + 27. Suppose 0 = 6*n - 78 - o. Calculate the greatest common divisor of 128 and n.
16
Let f(p) = -p + 9. Let o be f(7). Suppose -2*q + 2*k = 68, -2*q + q - 5*k = 58. Let g = q + 54. What is the highest common factor of o and g?
2
Suppose 3290 = -199*w + 234*w. Calculate the highest common factor of w and 4.
2
Suppose 0 = 4*m + 16, -5*u + 5*m - 2*m + 127 = 0. Let h = u + -13. Suppose 6 = q - 14. What is the highest common divisor of h and q?
10
Let v be -20 + (4 - -4) - -880. Calculate the greatest common divisor of 28 and v.
28
Let q(y) = 346*y**2 - 315*y**2 + 0 - 3*y + 2. Let r be q(2). Calculate the highest common factor of r and 24.
24
Let y = 211 + -112. Let x = 455 - 444. What is the highest common factor of y and x?
11
Let q be 2/6 + (-15)/(-9). Suppose 2*y - 22 = y - 4*p, 2*y = -3*p + 24. Suppose -4*x + q*x + y = 0. Calculate the highest common factor of x and 1.
1
Suppose 38*u = 173 + 321. Calculate the highest common divisor of 2249 and u.
13
Let k be ((-17)/((-204)/2424))/(1/4). What is the highest common factor of k and 101?
101
Let r(d) = -d - 3. Let a be r(-6). Suppose -3*l = -m - 44, -2*l + m + 24 = a*m. What is the highest common factor of 35 and l?
7
Let k(t) = -2*t**3 - 29*t**2 - 18*t - 10. Let r be k(-14). What is the greatest common divisor of 713 and r?
23
Let o be 1*4/(-9) - (-2564320)/4464. Calculate the greatest common divisor of o and 42.
14
Let o = 4 + -2. Let i be 2*(-3)/24*(-360)/9. Calculate the greatest common divisor of o and i.
2
Let o(h) = 16*h - 89. Let q be o(7). Calculate the greatest common factor of q and 23.
23
Suppose -2*p = 2*p + 12, -2*p = -3*q + 24. Suppose 0 = -3*m + q*m - 6. Let t = 15 + -13. What is the highest common divisor of t and m?
2
Let z = 3106 - 3076. What is the greatest common divisor of z and 180?
30
Let c be 56 + (-15)/(15/8). Calculate the greatest common divisor of c and 80.
16
Let k(h) = -h**3 + 97*h + 11. Let v be k(-11). Calculate the highest common factor of 55 and v.
55
Let h(u) = 1 + u**3 + 2*u**2 - 7 + 2*u - 4*u**2. Let k be ((-4)/(-6))/(42/189). Let a be h(k). Calculate the highest common factor of a and 1.
1
Suppose 6*j - 5*j - 42 = 0. Suppose x = -4*d + 23, 26 = 2*x - d + 5*d. Suppose 0 = x*p - j. Calculate the greatest common factor of 14 and p.
14
Let x = -317 + 445. Suppose -5*d - 64 = -7*d. Calculate the greatest common divisor of x and d.
32
Let i = -82 - -83. Let a = i - -13. Let m = -65 + 100. Calculate the greatest common factor of a and m.
7
Let p = -37 + 77. Suppose 137*x - 135*x = 10. What is the highest common factor of x and p?
5
Suppose 0 = -5*n - 4 + 19. Suppose -4*w = 3*k - n*w - 62, 4*k + 3*w = 86. What is the highest common factor of 80 and k?
20
Let a = 21 + -11. Let r be ((-4)/a)/((-1)/70). Let b = r + 40. What is the highest common divisor of b and 17?
17
Suppose -2*d + d + 52 = 0. Let k(g) = g**2 + 4*g - 5. Let w be k(-5). Suppose w*r - 39 = -3*r. What is the greatest common factor of r and d?
13
Suppose -h = -4*b + 324, -2*b + h - 168 = -4*b. Suppose -2*a = -62 - b. What is the greatest common factor of a and 12?
12
Let f = -12 - -200. Suppose 0 = 2*x - 5*j - f, x - 2*j - 68 = 27. Calculate the highest common factor of 9 and x.
9
Suppose -4 - 1 = 5*w, w - 69 = 2*i. Let a = i + 39. Suppose 240 = a*g - 2*g. What is the highest common divisor of 15 and g?
15
Let y(s) = -s**2 + 57. Let w be y(7). Let q = 80 - -72. Calculate the highest common divisor of q and w.
8
Let q(u) be the first derivative of 22*u**3/3 - u**2 - 4*u - 2. Let g be q(-3). Suppose -43 = -3*n + 32. Calculate the highest common divisor of g and n.
25
Suppose 2*r + 0*r = 2*j + 38, -4*r = -j - 64. Let x be (-1046)/(-6) - 5/r. What is the highest common factor of x and 29?
29
Suppose 0 = -2*s + 18 + 126. Let o = 23 + -15. Calculate the greatest common factor of o and s.
8
Suppose -3*y - 5*h = -56, 2*h - 118 = -4*y + 4*h. What is the greatest common divisor of y and 15?
3
Suppose -28 = -0*f + 2*f. Let c be (-865)/35 + 4/f. Let u be (0 + -17)/(5/c). Calculate the highest common divisor of 34 and u.
17
Suppose o - 12 = -3*o. Let w(r) = -r**2 - 13*r - 41. Let h be w(-5). Let x(b) = -26*b - 5. Let v be x(h). Calculate the highest common divisor of v and o.
3
Let p be ((-1161)/36)/(3/(-12)). Calculate the greatest common divisor of p and 86.
43
Let g = -19 + 44. Let u = g - 24. What is the highest common divisor of u and 7?
1
Let k(v) = -8*v - 1. Let o(p) = -p. Let h(f) = -k(f) + 2*o(f). Let l be h(3). What is the highest common factor of 171 and l?
19
Let l = 644 + -617. What is the highest common factor of 12 and l?
3
Let n(g) = 12*g + 6 + 21 - 16*g. Let x be n(-18). What is the greatest common factor of 9 and x?
9
Let d be (2 - 30/35)*(-14)/(-4). Suppose d*x = 6*x - 2. What is the greatest common divisor of 11 and x?
1
Suppose -t = 3*n + 7 - 37, -2*n = -2*t - 12. Suppose n*b = 5*b + 140. Let w = b + -30. Calculate the highest common factor of w and 40.
5
Let z = -20 + 23. Suppose 21 = y + z. Calculate the highest common factor of 90 and y.
18
Let p be (-7 - -4)/((-6)/196). Let d = -68 + p. Suppose 3*r - d = 3*h - 0*h, -2*h - 47 = -5*r. What is the highest common divisor of r and 81?
9
Let y be (-1 - 9)*10/(-2). Let i = -112 + 10. Let u be (-4)/20 - i/10. Calculate the greatest common factor of y and u.
10
Let g(z) = z**3 - 3*z**2 - 3*z. Let m be g(4). Let k be (22/(-3))/(m/(-18)). Let l = 5145 - 5123. What is the greatest common divisor of k and l?
11
Suppose 7*d = -3*o + 2*d - 19, -o = 2*d + 7. Let t be (-350)/15 + o/(-9). Let n = 38 + t. What is the highest common divisor of n and 60?
15
Suppose 6 = -3*n + 3*q, -6*n - 4*q = -n - 17. Let d(o) = -o - 2. Let t be d(-3). Calculate the highest common factor of t and n.
1
Suppose -11*b + 9*b - 2*z = -880, 0 = 2*b - z - 871. What is the greatest common factor of b and | {
"pile_set_name": "DM Mathematics"
} |
168 and 12.
168
What is the smallest common multiple of 8152 and 4?
8152
Calculate the smallest common multiple of 28 and 2088.
14616
Calculate the common denominator of -43/44 and 101/144.
1584
Calculate the common denominator of 56/143 and 31/52.
572
What is the common denominator of -53/1490 and -58/9?
13410
What is the least common multiple of 10 and 472?
2360
Calculate the common denominator of -49/171 and 12/95.
855
Find the common denominator of -56/2277 and -8/81.
20493
Calculate the common denominator of -71/42 and -13/56.
168
What is the smallest common multiple of 8 and 6076?
12152
Calculate the common denominator of -139/1386 and 73/4620.
13860
Calculate the common denominator of -21/16148 and -33/16.
64592
What is the lowest common multiple of 5337 and 6?
10674
What is the least common multiple of 725 and 5?
725
Calculate the smallest common multiple of 18 and 7288.
65592
Calculate the least common multiple of 14256 and 72.
14256
Calculate the common denominator of -61/20 and -17/8548.
42740
Calculate the common denominator of 143/70 and -93/2450.
2450
What is the lowest common multiple of 112 and 94?
5264
Find the common denominator of -41/126 and 80/63.
126
Calculate the least common multiple of 7 and 7.
7
Calculate the smallest common multiple of 80 and 1040.
1040
Calculate the smallest common multiple of 3956 and 16.
15824
What is the common denominator of 82/195 and 29/455?
1365
Calculate the common denominator of 9/220 and 85/4.
220
What is the lowest common multiple of 8800 and 792?
79200
Calculate the smallest common multiple of 125 and 625.
625
Calculate the lowest common multiple of 20 and 406.
4060
What is the common denominator of -25/1293 and 29/165?
71115
Calculate the least common multiple of 346 and 5.
1730
Find the common denominator of 93/1034 and -49/188.
2068
Find the common denominator of 43/4137 and -88/189.
37233
Calculate the least common multiple of 203 and 203.
203
Find the common denominator of -97/494 and -37/190.
2470
What is the smallest common multiple of 450 and 12?
900
Find the common denominator of 57/2224 and 111/10.
11120
What is the smallest common multiple of 40 and 475?
3800
What is the smallest common multiple of 360 and 48?
720
Calculate the least common multiple of 68 and 176.
2992
What is the common denominator of 67/483 and -141/3220?
9660
Calculate the lowest common multiple of 16640 and 14560.
116480
Calculate the least common multiple of 68 and 68.
68
Find the common denominator of -101/30 and 62/63.
630
What is the common denominator of 107/30 and 145/66?
330
What is the common denominator of -117/448 and -13/6?
1344
What is the least common multiple of 618 and 3?
618
Calculate the lowest common multiple of 1408 and 20.
7040
Find the common denominator of 53/24 and -71/32.
96
What is the lowest common multiple of 44 and 100?
1100
Calculate the common denominator of 97/2230 and -11/2.
2230
What is the smallest common multiple of 78 and 120?
1560
Calculate the common denominator of -71/508 and 41/232.
29464
Calculate the smallest common multiple of 306 and 732.
37332
Calculate the common denominator of 1/90 and -33/190.
1710
What is the common denominator of -79/108 and 31/2?
108
What is the least common multiple of 3 and 3824?
11472
Calculate the lowest common multiple of 297 and 1728.
19008
Calculate the least common multiple of 26 and 10.
130
What is the smallest common multiple of 100 and 100?
100
Find the common denominator of 97/48 and 19/63.
1008
Find the common denominator of -121/24 and -115/54.
216
What is the lowest common multiple of 4998 and 2940?
49980
Calculate the common denominator of -95/82 and 69/4.
164
Find the common denominator of 53/12 and 133/24.
24
Calculate the least common multiple of 48 and 144.
144
Calculate the smallest common multiple of 862 and 120.
51720
Calculate the common denominator of -71/3 and 97/160.
480
What is the common denominator of 61/256 and 137/192?
768
What is the common denominator of -111/20 and -65/3652?
18260
What is the common denominator of 70/27 and -16/15?
135
Calculate the smallest common multiple of 45 and 210.
630
Calculate the common denominator of 85/189 and -39/10.
1890
Calculate the smallest common multiple of 11 and 9.
99
Find the common denominator of -95/154 and -105/44.
308
Calculate the lowest common multiple of 22 and 55.
110
What is the common denominator of -31/80 and -13/2256?
11280
Calculate the smallest common multiple of 225 and 1377.
34425
What is the least common multiple of 522 and 1392?
4176
Calculate the least common multiple of 2 and 1127.
2254
Calculate the least common multiple of 14 and 1568.
1568
Calculate the common denominator of 73/1629 and -73/15.
8145
Find the common denominator of 77/3006 and -67/1503.
3006
What is the lowest common multiple of 440 and 50?
2200
Calculate the lowest common multiple of 22 and 4394.
48334
Calculate the common denominator of 34/43 and 83/6.
258
Calculate the least common multiple of 60 and 72.
360
What is the lowest common multiple of 80 and 185?
2960
Find the common denominator of -47/1359 and 23/4983.
14949
Calculate the lowest common multiple of 25 and 145.
725
Calculate the common denominator of -52/6915 and -63/3688.
55320
What is the smallest common multiple of 50 and 150?
150
What is the least common multiple of 7 and 945?
945
What is the common denominator of 79/126 and -137/42?
126
Calculate the lowest common multiple of 112 and 63.
1008
Calculate the smallest common multiple of 22 and 96.
1056
What is the lowest common multiple of 240 and 18?
720
What is the common denominator of -14/275 and -18/7?
1925
What is the lowest common multiple of 2 and 9?
18
What is the least common multiple of 13 and 3?
39
Calculate the least common multiple of 1098 and 366.
1098
Calculate the smallest common multiple of 1223 and 5.
6115
What is the lowest common multiple of 12 and 8?
24
What is the least common multiple of 8442 and 28?
16884
What is the common denominator of 9/209 and -49/893?
9823
Calculate the common denominator of -38/15 and 86/651.
3255
Calculate the lowest common multiple of 256 and 176.
2816
Find the common denominator of -101/552 and -71/246.
22632
What is the common denominator of 5/128 and -83/80?
640
What is the common denominator of -39/5 and -7/4?
20
What is the common denominator of -13/15 and 187/930?
930
What is the lowest common multiple of 1496 and 528?
8976
Calculate the least common multiple of 518 and 6.
1554
What is the lowest common multiple of 452 and 10?
2260
Calculate the smallest common multiple of 150 and 40.
600
What is the least common multiple of 102 and 93?
3162
Find the common denominator of -61/15 and -61/21.
105
Find the common denominator of -1/12 and -4/3.
12
Calculate the smallest common multiple of 2538 and 12.
5076
Calculate the smallest common multiple of 775 and 620.
3100
Find the common denominator of -13/98 and 68/441.
882
What is the common denominator of 47/420 and -45/224?
3360
Calculate the common denominator of -83/2091 and 59/21.
14637
Calculate the lowest common multiple of 1008 and 384.
8064
What is the common denominator of 47/2310 and -53/462?
2310
Calculate the common denominator of 23/130 and 47/13.
130
Calculate the common denominator of -9/4 and 85/704.
704
What is the smallest common multiple of 196 and 98?
196
What is the common denominator of 7/9 and -173/90?
90
Calculate the common denominator of -167/2280 and 5/1596.
15960
What is the common denominator of 123/2690 and 83/2690?
2690
What is the common denominator of 68/275 and -79/500?
5500
Find the common denominator of -31/6 and 19/98.
294
What is the common denominator of -49/55 and 13/4?
220
Calculate the common denominator of 85/189 and -22/3639.
229257
What is the smallest common multiple of 3726 and 297?
40986
Calculate the common denominator of 39/4408 and -73/5510.
22040
Calculate the smallest common multiple of 27 and 186.
1674
Calculate the lowest common multiple of 22 and 660.
660
What is the common denominator of 73/5740 and -65/14?
5740
Find the common denominator of -29/20 and 149/24.
120
Calculate the smallest common multiple of 780 and 312.
1560
Calculate the common denominator of -43/9 and -2/1489.
13401
Calculate the common d | {
"pile_set_name": "DM Mathematics"
} |
j + 100. Solve -3*q = -7*q - j for q.
-5
Let p(y) = 5*y**2 - 31*y + 9. Let i be p(6). Solve -i = 3*k - 0*k for k.
-1
Let k(c) = -8*c - 106. Let n be k(-14). Solve i + 20 = n*i for i.
4
Let g be (-28)/(-6)*(-36)/(-42). Suppose -i + 10 = -2*i. Let a be g/i + (-36)/(-15). Solve -a*q = -q for q.
0
Suppose -2*c + 12 = 2. Suppose 30 = -c*k + 7*k. Suppose -k = -2*h - 3*h. Solve -h*w = -2*w for w.
0
Let r be (-41)/(-82) - (-66)/4. Solve 3*q = -14 + r for q.
1
Let c(k) = -k - 26. Let y(b) = 4*b + 129. Let q(z) = -11*c(z) - 2*y(z). Let t be q(-9). Solve -t = 3*f + 14 for f.
-5
Let d be (2 + -4 + 0)/(2/(-152)). Suppose 149 = -3*w + d. Solve m + 6 - w = 0 for m.
-5
Let n = 10 - 6. Let w = 12 + -10. Suppose -3*o + 7*o - 40 = -w*l, o = -n*l + 59. Solve 5*d = -l - 6 for d.
-4
Let a be 7/(14/228) + (1 - -2). Suppose -5*q + a = 4*j, -2*q - 13 = -3*j - 69. Solve 7*w + q = 2*w for w.
-5
Let j(y) = 3*y**3 + y**2 - 21*y + 21. Let b be j(1). Solve -7*x = -31 - b for x.
5
Suppose -3*v = -5*v - 50. Let x = v + 27. Suppose -l - x*l = -h - 45, -85 = -5*l + 5*h. Solve 3*o = -5 + l for o.
3
Let w be ((-2)/5)/((-99)/1485). Solve 2*a - w = -0*a for a.
3
Let x(v) = v**3 - 7*v**2 + 2*v + 7. Let t be x(7). Suppose -t + 6 = -3*r. Suppose -2*u + 3*u = -r*d, -u = d. Solve -5*j + u*j + 10 = 0 for j.
2
Let u(c) = 18*c - 195. Let v be u(11). Solve d = -v*d + 8 for d.
2
Let x = 35 - 32. Suppose -3*z + x*k = -18, -5*k + 2 = 3*z - 16. Suppose -3*j + 5*b = 15, -j + 2*b - 6*b = -12. Solve j = s - 2 + z for s.
-4
Suppose -5*q = -4*w - q + 36, 3*q + 17 = w. Solve -g + 8 = w for g.
3
Let r(x) = -x**3 + 8*x**2 - x + 9. Let i be r(8). Let k be (i + -1)/(-8 - -9). Suppose k = 4*j + w - 17, -3*w + 0 - 19 = -2*j. Solve 0 = -j*s + 3*s - 10 for s.
-5
Let i be (-1 - 28)*(2 - 3). Suppose 5*w - 31 - i = 0. Suppose -16*d + w*d = 0. Solve -s + 0*s + 4 = d for s.
4
Let l = 14 + -14. Suppose l = -3*s + s - 8, 0 = -y - s - 1. Let r be (5 + -7)/((-1)/y). Solve 0*n - 2*n = -r for n.
3
Let v = 33 + -29. Let y be v/(32/44) + (-4)/8. Suppose -f = -4*f + 9. Solve -y*x + f = -7 for x.
2
Let x(a) = a**2 + 6*a - 4. Let k be x(-7). Suppose 7*p - 5*n = k*p + 4, -4*p - 2*n = -32. Solve -3 = -d - p for d.
-3
Let v be (-2)/(-22) + (-2349)/(-297). Solve 2*k = v*k - 12 for k.
2
Let d be (2/4)/(1/2)*7. Solve -3*m = -d + 1 for m.
2
Let f = 595 - 593. Suppose 1 + 7 = 2*t + 4*o, t - o = 16. Solve f*n + t = 5*n for n.
4
Suppose 48*v = 45*v + 12. Let n be (-2)/(-6)*(v - 1). Solve -n = t - 2*t for t.
1
Suppose 51*m - 476 = 17*m. Solve 0 = -3*i + 1 + m for i.
5
Suppose -5*r + 3*f - 4*f + 12 = 0, 2*r + f = 6. Suppose 0*q - 14 = r*q. Let i = q - -12. Solve -7 = i*u - 2 for u.
-1
Let x(n) = -n**3 + 44*n**2 - n + 63. Let p be x(44). Solve p*z = 16*z - 12 for z.
-4
Let o(f) = f**3 - 6*f**2 - 13*f - 7. Let q be o(8). Let t = 32 - q. Solve 0 = 4*y + t + 5 for y.
-5
Let k(i) = 17 - 8 - 3*i - 15. Let v be k(-7). Solve -4*s - 3 = -v for s.
3
Suppose -747 + 2817 = 30*h. Solve 67*i + 2 = h*i for i.
1
Let k = 76 + 77. Suppose k - 147 = 3*d. Solve -d*f = -4*f - 6 for f.
-3
Suppose 107*i - 187 = 134. Let a = 4 + -4. Solve 2*j + j - i = a for j.
1
Suppose 5*p + 47 = g, 22 = 4*p + 2. Let m = g - 68. Solve m*n + 2 = -10 for n.
-3
Let i = -30 - -35. Suppose 4*v = -4*l + i + 11, -1 = -v. Let s be 0 - 1 - (-6)/2. Solve l - s = -w for w.
-1
Suppose 81 = -6*w + 21. Let q = w - -11. Suppose 0 = -0*u + 2*u. Solve u = x - 0*x + q for x.
-1
Suppose 4*h - 20 = -0*h. Let w = 660 + -660. Solve w*d = d + h for d.
-5
Suppose 5*d = -132 - 103. Let g = d - -80. Let a = 41 - g. Solve -a = 3*u - 20 for u.
4
Suppose 2*c + 4*m = -0*m - 52, -c = -2*m + 30. Let y be 2/3 + c/(-12). Solve 0 = -y*w - 0*w + 6 for w.
2
Let m(l) = l**3 + 7*l**2 + 6*l + 1. Let t be m(-6). Let a(c) = -7*c - 7. Let q be a(-3). Let k = q + -12. Solve -t = -k*f - 3 for f.
-1
Let z(b) = -b**2 + 17*b - 39. Let k be z(12). Solve 3*p = -4*p - k for p.
-3
Suppose 0 = -2*u - 13 - 7. Let k = -7 - u. Suppose -3*n + 4*c = -10, -k*n + 4*c - 3*c = -7. Solve 3*b = -n*b + 25 for b.
5
Let v = -32 - -35. Suppose -v*m - q + 13 - 5 = 0, 0 = 3*q - 15. Solve -m = -4*g - 5 for g.
-1
Let y be 4/(16/12) - 2. Solve 5*f - y + 21 = 0 for f.
-4
Let r be 0/(-4) + 3 + -2 + 0. Solve -3*j = r - 1 for j.
0
Let h = -6 - 5. Let b = h - -13. Suppose 0*o = b*o. Solve o = 2*v - 5 - 3 for v.
4
Let o = -11 + 8. Let p be -3*(2/o + 4). Let b = p + 14. Solve b*h + 0 = 4 for h.
1
Suppose 4*h - l - 3 = 0, 3*l + 0*l = 15. Let k be 1/5 - h/10. Solve n - 3*n = k for n.
0
Suppose 3*w - 2*b - 17 = -0*b, 3*b = -3. Suppose w*t + 2*t = 42. Solve -t - 3 = 3*q for q.
-3
Let w = -24 + 26. Suppose 0 = -h - 5*x - 4, 2*x + w = 3*h - 3. Solve 2*u - 3 + h = 0 for u.
1
Let p be (-2)/4*-4 + (-10 - -10). Solve p = -2*l + 4 for l.
1
Let w be 24/16 - (-9)/(-6). Solve v + 7*v - 16 = w for v.
2
Let q be (-9)/(216/(-28)) + 1/(-6). Let a be 1/q*(4 - 4/(-4)). Solve 10*f + 10 = a*f for f.
-2
Let w be 1/((-1)/1)*-9. Suppose w*b - 51 = -6. Solve 21 + 4 = -b*v for v.
-5
Let i be 90 - 72 - -1*(-4 + -1). Solve -12*c = -i*c - 4 for c.
-4
Let l = 7 + -7. Suppose 0 = 5*k + 60 - 85. Solve -k*t + l*t = 10 for t.
-2
Let b(a) = -a**2 - 8*a - 3. Let p be b(-7). Suppose p*h = -20, -h = -3*k + 4 + 10. Let r = k - -1. Solve -26 = r*c - 6 for c.
-5
Suppose 84 - 44 = 20*t. Solve 0 = t*n - 23 + 33 for n.
-5
Suppose 20 = -4*o, -9*c - 3*o = -4*c - 15. Solve -14*j + 16*j + c = 0 for j.
-3
Suppose 38*m - 36*m = 4. Let t be 11 - (-1 - (m - 6)). Solve 0 = -4*y + 2*y + t for y.
4
Let x(m) = m**3 + 14*m**2 + 6*m - 84. Let i be x(-13). Solve i*o = -38 + 66 for o.
4
Let l be (5 - 2) + 0 + 12. Let f be 8 + 1*4/2. Suppose 15 = 5*j - f. Solve j*a + l = 2*a for a.
-5
Suppose 67 = -3*i - 5*s + 346, -2*i + 161 = -5*s. Suppose -7*n - 4 = -i. Solve -2*y - n = y for y.
-4
Let t be ((-60)/(-6))/(4 - 2). Suppose -14 = -5*r + u, 2*r = t*u + 2 - 1. Solve 0 = 4*h - r*h + 4 for h.
-4
Suppose -9*a = -6*a - 54. Let d = -18 + a. Solve d = 2*z + 3*z + 10 for z.
-2
Suppose -3*m - 3*i - 21 = 60, m + 27 = 2*i. Let k = m - -32. Solve -20 = k*j - 0 for j.
-4
Suppose -a + 4*s - 32 = 3*a, -5*a - 4*s = 58. Let q be 22/(-3) - a/30. Let z(v) = -v**3 - 6*v**2 + 5*v - 4. Let o be z(q). Solve -4*b - b = o for b.
-2
Let a(w) = -5*w - 5. Suppose -4*d + 3*j + 42 = 0, -2*j + 36 = 5*d - 5. Let r be a(d). Let s = -30 - r. Solve m + s = -4*m for m.
-4
Let t = -17 - -19. Suppose -5*b - 134 = -159. Solve 9 = b*k - t*k for k.
3
Let j(a) = -4*a**2 + 17*a - 1. Let u be j(4). Solve r = u*r + 8 for r.
-4
Suppose 5*g - 7*r - 27 = -11*r, -3*r + 15 = 2*g. Solve -g*c - 2 = 4 for c.
-2
Suppose d - 33 = -5*y - 10, 0 = 2*d - 2*y - 22. Suppose 0 = n - 16 + d. Solve n*p = p for p.
0
Suppose 17*i = 12*i + 25. Let n be (i/(-15))/((-1)/6). Suppose 0 = -5*d - k + 15, -n*k + 5*k = 3*d - 27. Solve -d*x = x for x.
0
Let t(w) = -2*w + 7. Let v be t(2). Let l = -102 - -104. Solve v = -l*a + 1 for a.
-1
Let d be (-1)/(3*4/(-60)). Suppose 6*n = d*n. Solve 3*a - 7*a = n for a.
0
Let r(l) = -l**3 + 4*l**2 + 11*l + 34. Let c(m) = 6*m**3 - 19*m**2 - 56*m - 171. Let k(x) = 2*c(x) + 11*r(x). Let d be k(-5). Solve 0 = -2*z + 6*z - d for z.
3
Suppose -z + 3*z = 2. Let n be 144/9 - 4 - 12. Solve -4*s - 5 + z = n for s.
-1
Suppose 111 = 13*s - 32. Solve -s*i + 6 = -17*i for i.
-1
Let j = 5 - 5. Let c(u) = -5*u**2 + 23*u - 15. Let l(p) = -p**2 + p + 1. Let t(m) = -c(m) + 4*l(m). Let y be t(18). Solve -g - 1 - y = j for g.
-2
Let f = -133 - -133. Solve f = -w - w + 6 for w.
3
Suppose 0*f + 16 = 3*f - 4*g, -5*f - 2*g = -44. Suppose 42*s - 79 = 131. Solve -s*u + f = -7*u for u.
-4
Let j = -2375 - -2380. Solve 42*z = 37*z + j for z.
1
Suppose 11*u = 16*u - 2*a - 195, -15 = -3*a. Solve 84 + u = 25*m for m.
5
Let y be (4/2 + -1)/(36/468). Solve -5*r = -y + 3 for r.
2
Let p = 382 - 334. Solve p*x = 52*x - 8 for x.
2
Let m(c) = c**3 + 7*c**2 + c + 21. Let n be m(-7). Solve -r + 16 = n for r.
2
Suppose q = 4*r + 22, 2*r + 0*r + 5*q = -22. Let u be (-26)/r + 10/15. Suppose j = w - 8, u*w = 2*j - 5*j. Solve -3 = -3*c + w for c.
2
Let m be (-3 - 17)/(-4) - 3. Suppose 2*o - m = 14. Let h = o - -7. Solve 0 = -4*y + 3 - h for y.
-3
Suppose -q + 2*r + 44 = -0*r, -r = -3*q + 122. Let v = q - 38. Solve 1 = -c + v*c for c.
1
Suppose 5*z - 84 - 36 = 0. Let j = 24 - z. Solve 4*l - 5 | {
"pile_set_name": "DM Mathematics"
} |
w(r) = 12*r - 2. Let y(d) = 2*c(d) + w(d). Let m(o) = -1. Let z(i) = -i**2 - 1. Let b(v) = m(v) - z(v). Calculate y(b(j)).
2*j**2
Let c(v) = -10325*v. Let b(q) = -28*q**2. Calculate b(c(m)).
-2984957500*m**2
Let g(m) = 3*m. Let f(p) = 10670*p + 873. Let d(t) = -49*t - 4. Let n(h) = 873*d(h) + 4*f(h). What is g(n(y))?
-291*y
Let w(u) = -5*u. Let v(r) = -7*r + 61. Let q(d) = -3*d + 32. Let b(j) = -5*q(j) + 2*v(j). Give w(b(g)).
-5*g + 190
Let y(v) = 2*v**2. Suppose -c + 5*c - 8 = 0. Suppose -c*p - 8 = -5*x, 0 = 4*x - p + 6*p - 13. Let u(d) = x*d - 2*d - 2*d. Calculate y(u(s)).
8*s**2
Let b(x) = 2*x**2. Let q(f) = -892*f + 21. Calculate b(q(a)).
1591328*a**2 - 74928*a + 882
Let p(l) = -14*l. Let x(r) = -5*r. Let y(b) = -3*b**3 - 3*b**2 - b + 3. Let g be y(-2). Let z(d) = g*x(d) - 6*p(d). Let a(t) = 19*t**2. What is z(a(u))?
-19*u**2
Let x(s) = -984*s**2. Let g(f) = -2*f**2 - 198*f - 149*f + 347*f. Determine x(g(i)).
-3936*i**4
Let d(a) = -a**2. Let r(v) = 2957*v**2. What is d(r(i))?
-8743849*i**4
Let o(d) be the second derivative of -5*d**3/6 + 21*d - 1. Let j(v) = 4*v**2 - 3 + 2 + 1. Give o(j(f)).
-20*f**2
Let b(n) = 5*n. Let k(u) = 5*u - 15. Let d be k(8). Let o = 29 - d. Let t(l) = -o*l - l - l + 3*l. Calculate b(t(p)).
-15*p
Let w(x) = 7*x. Let h(y) = 26*y - 17*y - 9*y - 6*y. What is h(w(a))?
-42*a
Let c(p) = 477*p**2. Let o(y) = y - 30. Give o(c(m)).
477*m**2 - 30
Let x(g) = 5*g. Suppose 7 = -2*b + 3*p + 2, 5*p - 5 = 5*b. Let r(j) = -j**2 - 3*j**b + 27 - 27. Calculate r(x(d)).
-100*d**2
Let p be ((-18)/(-108))/(1 - -1). Let s(q) be the third derivative of 0*q**3 + p*q**4 + 0 + 0*q + 2*q**2. Let i(o) = 3*o. What is s(i(h))?
6*h
Let w(i) = -2*i**2. Let h(n) = -15759 + 154*n**2 + 15759. Give h(w(a)).
616*a**4
Let y(a) = -4*a. Let z(k) be the third derivative of 49*k**5/20 + 3*k**2 + 2*k. Calculate z(y(b)).
2352*b**2
Let q(j) be the first derivative of -8*j**3 - 2. Let s(c) = -c - 57804 + 57804. What is q(s(w))?
-24*w**2
Let p = -8 + 10. Let w(m) = 3*m - p*m + 2*m. Let y(q) be the second derivative of 5*q**3/6 + 2*q. Determine y(w(x)).
15*x
Let r(f) = -3*f + 2. Let b(p) = 3*p - 3. Let v(o) = 2*b(o) + 3*r(o). Let w(h) be the first derivative of 7 + 0*h - 1/3*h**3 + 0*h**2. What is v(w(c))?
3*c**2
Let z(x) = -x**2. Suppose -16 + 54 = 19*f. Let d(k) be the second derivative of 0*k**f + 0*k**3 - 4*k + 0 + 3/4*k**4. Give z(d(p)).
-81*p**4
Let q(d) = 29*d. Let j(f) be the third derivative of f**7/5040 - 7*f**5/20 - 24*f**2. Let m(w) be the third derivative of j(w). Determine m(q(u)).
29*u
Let a(r) = -1793*r. Let u(j) = -199*j**2. Determine u(a(x)).
-639754951*x**2
Let f(m) = 2545*m + 4. Let q(g) = -7*g. Calculate f(q(x)).
-17815*x + 4
Let p(j) be the first derivative of -13*j**4/24 - j**2/2 + 20*j + 54. Let t(q) be the second derivative of p(q). Let s(g) = -4*g**2. Determine s(t(l)).
-676*l**2
Let o(v) = 9*v. Let g(p) be the first derivative of -p**2/2 - 224. Calculate o(g(u)).
-9*u
Let d(k) = -21*k**2. Let w(u) = -10861*u. Give w(d(x)).
228081*x**2
Let l(f) = -161*f. Let y(s) = -2*s**2 - 3*s - 6. Let b(v) = -10*v**2 - 14*v - 28. Let c(u) = 3*b(u) - 14*y(u). Calculate l(c(q)).
322*q**2
Let w be 6/(-2) + 11 + -6. Let q(f) = -13*f**w - 18*f**2 + 33*f**2. Let b(k) = -3*k - 5. Let p(v) = -3*v - 4. Let c(y) = -4*b(y) + 5*p(y). What is q(c(i))?
18*i**2
Let j(s) = 7*s**2 - 5*s. Let b(r) be the second derivative of -r**3 - 74*r. What is b(j(m))?
-42*m**2 + 30*m
Let c(x) = -6*x - 3. Let j(v) = 11*v**2 + 6*v. Let z(i) = 9*i**2 + 5*i. Let m(k) = 5*j(k) - 6*z(k). Give m(c(l)).
36*l**2 + 36*l + 9
Let p(v) = -2*v**2. Let d be (-1 - (-1 + 0))/(6 - 4). Let y(g) be the second derivative of 1/3*g**3 + d*g**2 + 0 + g. Give p(y(q)).
-8*q**2
Let f(g) = 21*g. Let n(j) = 6*j + 2*j + j - 11*j. Determine n(f(u)).
-42*u
Let x(k) = 2*k**2. Let d(z) = -168*z**2 + 133*z. Determine d(x(t)).
-672*t**4 + 266*t**2
Let o(v) = -2*v**2. Let m(p) = 3*p + 9622*p**2 - 9625*p**2 + p. Calculate m(o(z)).
-12*z**4 - 8*z**2
Let z(l) be the first derivative of 0*l + 1/2*l**2 - 10. Let a(o) = -8*o. What is z(a(x))?
-8*x
Let p(c) = -51703*c. Let f(v) = v. What is p(f(x))?
-51703*x
Let f(t) = -2*t. Let q(n) = -9 - 23870*n + 23870*n + 5*n**2. Calculate q(f(w)).
20*w**2 - 9
Let d(x) = 6016*x - 1. Let b(m) = m**2. Determine d(b(l)).
6016*l**2 - 1
Let f(v) = 34*v. Let c(g) = -434*g + 2. Calculate c(f(k)).
-14756*k + 2
Let j(h) = 17*h**2. Let q be (-26)/(-4) - (-3)/18*-3. Let d(c) = -20*c. Let l(f) = 7*f. Let r(y) = q*d(y) + 17*l(y). Determine r(j(a)).
-17*a**2
Let t(a) = -180*a + 31. Let r(n) = -8*n. Calculate t(r(w)).
1440*w + 31
Let o(p) be the second derivative of -p**4/12 + 65*p. Let n(g) = -2*g**2 + 1. Give o(n(l)).
-4*l**4 + 4*l**2 - 1
Let k(h) = 8641*h. Let a(f) = -203*f. Give a(k(j)).
-1754123*j
Let d(g) be the first derivative of -g**2/2 - 155. Let p(u) be the first derivative of -4*u**3 + 2. Give p(d(w)).
-12*w**2
Let g(b) = 263*b. Let c(k) = -57*k. Calculate g(c(m)).
-14991*m
Let y(j) = -2*j**2. Let n(v) be the third derivative of -11*v**4/12 + 19*v**2. Give y(n(f)).
-968*f**2
Let i(m) = -537 - 15*m + 274 + m**2 + 263. Let a(g) = -5*g. Give a(i(p)).
-5*p**2 + 75*p
Let c be (-3)/(0 + -5 - -2). Let m(v) = 9 + v - c - 8. Let n(r) = -5 + 5 - r. What is m(n(p))?
-p
Let p(b) = 3*b. Let s(y) = -4*y. Let g(c) = 7*p(c) + 5*s(c). Let d be 486/8 - 13/(-52). Let w(q) = 61 - q - d - 3*q. Calculate w(g(a)).
-4*a
Let t be ((54/20)/9)/(12/10). Let f(b) be the second derivative of -b + 0*b**3 + 0*b**2 + t*b**4 + 0. Let w(x) = -x**2. Calculate w(f(y)).
-9*y**4
Let k(j) = -2*j**2 - 9 + 1 + 8. Let v(t) be the second derivative of 0*t**3 + 0 + 0*t**2 - 2*t + 1/6*t**4. Calculate v(k(c)).
8*c**4
Let g(l) = -68*l. Let h(j) = 18*j + 4. Let c(k) = -22*k - 5. Let q(y) = 4*c(y) + 5*h(y). Calculate q(g(t)).
-136*t
Let c(i) = -3*i. Let y(z) = -z + 1. Let t(s) be the second derivative of 0 - 5*s - 1/2*s**2 + 1/3*s**3. Let x(v) = -2*t(v) - 2*y(v). Give c(x(w)).
6*w
Let k(o) be the second derivative of -14*o**4 - 48*o - 2. Let z(c) = -3*c**2. Give z(k(s)).
-84672*s**4
Let p(q) = -q. Let r(v) = -402*v**2 + 9 - 400*v**2 + 801*v**2. Calculate p(r(y)).
y**2 - 9
Let c(b) = 2*b + 129. Let u(g) = 874*g**2. Calculate c(u(l)).
1748*l**2 + 129
Let p(h) = 32*h**2 - h - 46*h**2 + h. Let x(m) be the first derivative of -2*m**2 - 8*m**2 - 5*m**2 + 16*m**2 + 9. What is p(x(w))?
-56*w**2
Let v(f) be the third derivative of 7*f**4/24 + 3*f**2. Let d(q) = 5 - 8*q**2 + 7*q**2 - 5. Calculate d(v(r)).
-49*r**2
Let m = 30 - 28. Let r(n) = -2*n**m + 8167*n - 8167*n. Let l(o) = 3*o. What is l(r(g))?
-6*g**2
Let r(t) = 3*t. Suppose 4 = -u + 93. Let b(x) = -x + u + 11*x - 89. Give r(b(g)).
30*g
Let q(n) = 3*n. Let x(m) = 1878455*m**2. Determine x(q(r)).
16906095*r**2
Let h(m) = 242*m**2. Let t(j) = -406*j. Give h(t(b)).
39890312*b**2
Let j(d) = 3*d**2. Let w(a) = 3*a**2 - 1387*a. Give w(j(x)).
27*x**4 - 4161*x**2
Let g(q) = 6*q**2. Let j(k) = -2530*k. Calculate j(g(o)).
-15180*o**2
Let z(a) = 57*a. Let c(p) = 4*p**2 - 607. Calculate z(c(x)).
228*x**2 - 34599
Let y(s) = -s. Let n(l) = -12444*l. Determine n(y(u)).
12444*u
Let y(q) = 1542*q**2. Let m(h) = -50*h + 3 - 3 + 101*h - 49*h. What is m(y(d))?
3084*d**2
Let m(o) = -27*o**2. Let a(c) = -c + 2. Let z(r) = r - 1. Let n(f) = f**2 - 3*f - 12. Let i be n(5). Let b(k) = i*z(k) - a(k). Determine b(m(y)).
27*y**2
Let d(u) = -2*u. Let j(r) = -138822*r. Give j(d(y)).
277644*y
Let x(d) = -d. Let r(g) = -16*g + 46*g + 7 + 77*g - 2 + 3*g. Determine x(r(y)).
-110*y - 5
Let s(n) = 15380*n**2. Let c(o) = 16*o. Calculate s(c(u)).
3937280*u**2
Suppose -6 = -3*u - 3*k + 6, 2*u = 5*k - 6. Let r(c) be the third derivative of 0*c**3 + 0*c + 0 - 3*c**u - 1/24*c**4. Let b(o) = 6*o**2. Give r(b(d)).
-6*d**2
Let g(r) = -r**2. Let q(w) be the third derivative of 0*w**3 + 0*w**4 + 17/60*w**5 + 49*w**2 + 0 + 0*w. Determine q(g(h)).
17*h**4
Let a(h) = 19*h**2. Suppose 5*d = -0*d + q + 96, 80 = 3*d + 5*q. Let b(k) = -d*k + 11*k + 7*k. What is a(b(z))?
76*z**2
Let v(t) = t - 10. Let g(u) be the third derivative of -u**4/12 - 43*u**2 - u. Calculate v(g(p)).
-2*p - 10
Let j(x) = -2*x. Let p(c) = 32*c**2 + 329 + c - 11*c**2 - 329. Calculate j(p(y)).
-42*y**2 - 2*y
Let i(r) = -6*r. Let s(o) = 13 - 11 + 11 + 60*o - 13. Determi | {
"pile_set_name": "DM Mathematics"
} |
+ -79762. Is r prime?
False
Let l be 6/10 - (-3520078)/145. Suppose -5*p + 11*t + 40468 = 14*t, l = 3*p - 2*t. Is p a prime number?
True
Suppose 15*n - 6 = 13*n. Suppose 4*b + 3*z - 4*z - 23 = 0, n*b = 3*z + 6. Is b prime?
True
Let c(k) = 158*k - 3. Let z be c(2). Suppose 3*g = 4*a + 174, z = 5*g - 0*g + a. Suppose g + 25 = b. Is b a prime number?
False
Let w(y) be the third derivative of y**6/120 + 8*y**5/15 - y**4/3 + 19*y**3/6 - 31*y**2 - y. Is w(-26) prime?
True
Let i = -11992 + 20731. Suppose 0 = -4*a + 5*q - 3074, a = 3*a - 4*q + 1540. Let f = i - a. Is f a composite number?
True
Let u be 2/(-2)*(3 - 3) - 31. Is (-32 - u)/(2/(-4886) + 0) a composite number?
True
Suppose -5*i + 107 = -73. Let a(z) = -390*z - 166*z - 217*z - i. Is a(-5) composite?
True
Let r(y) = 3*y**2 - 18*y + 51. Let g be r(4). Suppose -g*f = -20656 - 12122. Is f prime?
False
Suppose 99*q - 101*q + 146776 = k, -2*q = -k + 146772. Is k composite?
True
Let u(t) = 16267*t - 3768. Is u(17) prime?
True
Let l be (-176)/(-110) - 2/(-5). Suppose -3*j - 4*t = -965, -l*j - 2*t - 3*t = -648. Is j prime?
False
Let h(i) = -12*i**3 + 29*i**3 - 9*i**3 - 12*i**2 - 6*i**3 - 17*i - 10. Is h(15) prime?
False
Suppose -10867973 = -124*d - 1952497. Is d prime?
True
Is ((-183268)/16)/(5/(-20)) a prime number?
True
Is 3*8/120*2755535 a composite number?
False
Let z = 36 + -32. Let n(x) = 21*x + 10. Let u be n(z). Suppose -w + u + 67 = 0. Is w composite?
True
Let u = 99 + -88. Let t be (-10)/(-2) - 6 - u. Let y = 18 + t. Is y composite?
True
Let s = 5033108 + -1608103. Is s a prime number?
False
Let g be -2 + 0 + 2 - 3. Let j = g + 15. Is (595 - j)/(1 - 0) composite?
True
Suppose -1 = -2*a + 3*b, 4*b + 1 - 23 = -2*a. Suppose 30 = a*x + x. Let i = x + 576. Is i a composite number?
True
Suppose -3*b + v + 11 = 0, 4*b = -v + 4*v + 23. Let k(a) = 13*a - 155. Let c be k(12). Is ((-233)/(-2))/(c/b) prime?
True
Suppose t + 7*l = 8*l + 180109, 10*t = -l + 1801112. Is t a composite number?
True
Let c(o) = -o**3 + 7*o**2 - 10*o + 3. Let t be c(5). Suppose -u + t + 3 = 0. Is (301/(-2))/((-3)/u) a composite number?
True
Suppose 364 = 6*n + 8*n. Suppose n*s - 30*s + 32 = 0. Let c(w) = 19*w + 25. Is c(s) prime?
False
Let u(d) = 4*d + 1. Suppose -3*i - 14 = -5*i. Let l be u(i). Is 191/(-4 - l/(-7)) prime?
False
Let n = 137584 + 5173. Is n a composite number?
False
Let c(g) = -2*g + 21. Let z be -4 + (-4)/(-8)*14 - -5. Let i be c(z). Suppose 0 = -3*t + 5*t - 5*v - 183, -2*v - 447 = -i*t. Is t a prime number?
True
Is -7 - -186893 - (-2)/2 composite?
True
Let y be (-4)/(-6) + (-5)/((-45)/52176). Suppose -y = -3*j - 10*j. Is j a composite number?
True
Suppose 2*h - 56 - 19 = -5*f, 5*h - 45 = -3*f. Let c(q) = 4*q + f*q**2 - 1 - 2 + 3*q**3 - q**3 - q**3. Is c(-9) a prime number?
False
Let b(f) = f**3 + 27*f**2 - 49*f - 49. Suppose -191 = 4*p - 87. Is b(p) a prime number?
True
Suppose 0 = 62*v - 1461007 - 3195751. Is v a prime number?
True
Suppose -160*y - 479603328 = -544*y. Is y prime?
False
Let y be (-130)/15*-9*8/12. Let j(w) = 130*w + 309. Is j(y) a prime number?
True
Suppose 0 = -0*d + 2*d - 64. Let g be d/1*(4 + -3). Let q = 153 - g. Is q a composite number?
True
Suppose 1259520 = 6*t + 2*u, -t - u = -124544 - 85374. Is t prime?
False
Let f = 174878 + -26215. Is f a prime number?
True
Let v = 4779 + -2606. Suppose -4*p - v = -61345. Is p a prime number?
False
Let m(y) = 1 - 3153*y**2 + 15*y + 134*y**3 - 331*y**3 + 3151*y**2. Is m(-4) a prime number?
True
Let f(q) = -2*q**3 - 74*q**2 + 75*q + 59. Is f(-52) composite?
False
Let u be (11/22 - (-5)/(-2)) + 2. Suppose j - 2*g - 4 = u, 0 = -j + 3*j - g - 5. Suppose 0 = y + 2*q - 1191, -j*q - 677 - 518 = -y. Is y a composite number?
False
Let y(i) = 183*i - 265. Suppose 15*q + 31 = 211. Is y(q) prime?
True
Suppose -2*g + 265468 = 5*z, 2*g - 85214 = 5*z + 180314. Is g a composite number?
False
Suppose 0 = -4*r + 29*r. Suppose r = 5*b - 17*b + 8028. Is b prime?
False
Let f be 15 - 14 - (1 + -1024). Is 0 - 3 - (27/9 - f) composite?
True
Let c(j) = -2*j**2 - 4*j. Let r be c(5). Let q = -73 - r. Is 3490/6 - (-2)/q a prime number?
False
Suppose -162*m - 81 = -159*m. Is 3 + (-220896)/m + 2/3 a composite number?
True
Let o be (1 + -2)*0/(-2). Let h(g) = 3*g + 2715. Let f be h(o). Let a = -1574 + f. Is a composite?
True
Let k(i) = 3*i**3 - 3*i**2 - 5*i + 2. Let t be k(4). Suppose 6*o - 6 + t = 0. Is 0*(-5)/o - -1057 a composite number?
True
Is 2 + (-336)/156 + (-150570)/(-26) prime?
True
Suppose -7*g = 1 - 15. Suppose 0*w - 5*w - 2*r + 25972 = 0, 2*r - g = 0. Let u = w - 3209. Is u composite?
True
Let y(j) = 3*j**3 - 8*j**2 - 8*j - 1102. Let w(x) = x**3 - 3*x**2 - 3*x - 367. Let d(f) = 11*w(f) - 4*y(f). Is d(0) prime?
False
Let g(f) = 3*f**3 - 54*f**2 - 31*f + 29. Is g(30) prime?
False
Suppose -3*r + 3 = 0, 3*y = -28*r + 27*r + 424699. Is y a prime number?
False
Let m(h) = -191*h**2 + 29*h - 43. Let r(n) = 191*n**2 - 25*n + 43. Let o(j) = 5*m(j) + 6*r(j). Is o(4) a prime number?
True
Suppose d = 3*f + 111044, 97*f = -3*d + 100*f + 333102. Is d composite?
False
Let l(p) = p**2 + 9*p + 77533. Let q be l(0). Suppose 6*n - q = -17*n. Is n a composite number?
False
Let g = 323040 - -397475. Is g prime?
False
Suppose 607336 = -84*f + 92*f. Is f prime?
False
Let b(v) = 2*v - 18. Let l be b(6). Let t be (-15)/l*2*(0 + -2). Let m(z) = 8*z**2 - z + 29. Is m(t) a prime number?
True
Suppose l - a = 26229, 32528 = 4*l - a - 72400. Is l a composite number?
True
Let j = 4124 - 2075. Let a = -832 + j. Suppose -3*m = -2*p + a, -7*p + 6*p + 4*m + 601 = 0. Is p a prime number?
True
Suppose -242221 = -2*x + 5*o, -328906 = -5*x - 5*o + 276734. Is x prime?
True
Let f be 16 - (-14 + 384/16). Let c = 1343 + 4405. Suppose 18*a - f*a = c. Is a a prime number?
True
Suppose 4*r = 3*l - 5*l + 135198, -4*r = 3*l - 202791. Suppose 27*g + l = 30*g. Is g prime?
True
Let t be ((-8)/10)/(34668/8670 + -4). Is t + ((-36)/(-4))/3 prime?
False
Let k be 3/(3/(-10))*1/(-2). Suppose -k*f = -10772 + 282. Is (13/13)/(2/f) a composite number?
False
Let j(m) = 49759*m - 138. Is j(5) prime?
True
Suppose -496*j = -506*j + 820. Suppose -2*o + 3*p + 1841 = 0, -o + 2*p + p + 928 = 0. Let l = j + o. Is l a prime number?
False
Let o(x) = -648*x - 7859. Is o(-32) a composite number?
True
Suppose -2*a - 35*k = -38*k - 3287, 4*a - 4*k = 6572. Is a prime?
False
Let t be (19 + -33)*(-6)/21. Suppose -8566 = -t*n + 36142. Is n prime?
True
Suppose -2*d - 3*d = 0. Suppose 4*w + d*h - 5*h - 74784 = 0, 0 = -5*w - 4*h + 93521. Is w prime?
True
Let f(n) = 2 + 3*n - 15*n**2 + 11*n - n**3 - 18 - 17. Let y be f(-16). Is y/(1/4) + (-2 - -1115) prime?
True
Let z = -101125 + 200192. Is z a prime number?
False
Let w(m) be the third derivative of 116*m**5/15 - m**4/2 + 17*m**3/6 + 5*m**2 - 5*m. Is w(4) composite?
False
Let w(n) = n**2 + 2*n - 28. Let v be w(-22). Let j = v - 188. Suppose -o + 259 = -4*q, -j = -o - 0*q - 3*q. Is o a composite number?
False
Let d be 96*5/(-15)*3. Let o = d + 95. Is o/((0 - 2)/1670) a prime number?
False
Let p(q) = -376*q**2 - 5*q + 7. Let i(a) = a**2 + 6*a - 1. Let z(b) = -2*i(b) - p(b). Is z(-4) composite?
False
Suppose 6*w - 207 = -3*w. Is ((-1187)/(-2))/(w/46) prime?
True
Is -9*(-2)/(-3) - -455207 a composite number?
False
Is 89288933/122*2/6 - 4/(-24) prime?
False
Suppose 529585 = 13*q + 38848. Suppose -32*a + 217003 + q = 0. Is a composite?
True
Let i = -15884 - -240742. Is i prime?
False
Suppose -5*q = -2870 - 18810. Let c = -993 + q. Is c composite?
False
Let b = -466 + 468. Suppose 2*t - 3512 = 3*c, -b*c = 2*t + t - 5281. Is t composite?
False
Is (15 - 660/45)/(1/2484507*1) a prime number?
True
Is -2 + 6 - (-18626 - -7) a composite number?
True
Is (4 - (-76)/(-20))/((-1)/(-322165)) a composite number?
False
Let k = 349 - -63. Let w be 1/(24/k) + (-1)/6. Suppose 0 = t + w - 108. Is t a prime number?
False
Let y be 1 - 1 - (-6)/2. Let n be (114/(-15))/(y/(-15)). Let w = -15 + n. Is w prime?
True
Suppose -4*c = 4*d - 497468, 53*d = 3*c + 50*d - 373137. Is c prime?
False
Let i be (-1 + 543)/((-8)/20). Let g = i - -1965. Suppose 4*p = 2*p + g. Is p a prime number?
False
Let f(u) = -496*u**3 + 2*u**2 + 82*u - 51. Is f(-9) prime?
False
Let m(s) = 80*s**2 - 12*s - 29. Let j be m(-13). Suppose 5*i - 17279 = b, 0 | {
"pile_set_name": "DM Mathematics"
} |
1/3)) assuming w is positive.
w**(557/84)
Simplify (((k**0*k)/k**(-1))/(k/k**(-5))**(1/10))**(4/27) assuming k is positive.
k**(28/135)
Simplify (k**(3/4)*k/k**(1/3))**(-26)/((k**(2/9)/k**(1/2))/(k/k**(-1/4))**(-17/2)) assuming k is positive.
k**(-3397/72)
Simplify (((o**(-5)*o)/o)/o*o*o)**3*(o/o**(-18))/o**(-25) assuming o is positive.
o**32
Simplify (((w**1*w)**(1/8)/(w/((w/(w**(-2/7)/w))/w))**(2/13))**22)**28 assuming w is positive.
w**(2354/13)
Simplify ((g**11)**(-3/7)/(g**(3/31)/(g**(-31)/g)))**(-13) assuming g is positive.
g**(103844/217)
Simplify (((c**(-1)/(c/(((c/c**(-19))/c)/c)))**(-1/11))**(1/33))**(-41) assuming c is positive.
c**(656/363)
Simplify (((g*g**1*g*g*g*g)/g)**(5/8)*g**(-2/9)/(g*g**(1/3)*g))/((g*(g*g*g**(-1))/g*g)**(-25))**(-31) assuming g is positive.
g**(-111559/72)
Simplify (n*n**(-7)*n*n*(((n**(-2/13)/n)/n)/n)/n*((n/(n*n*n/(n**7*n)))/n)**(-45))**(-34) assuming n is positive.
n**(103054/13)
Simplify (((h*h**(-3/5))/(h/(h**(-2/3)*h*h*h)))/(h*h*h**(1/3)*h)**(-45))/((h*(h*(h/h**(-1/4))/h*h)/h)**(2/59))**(-1/26) assuming h is positive.
h**(6982903/46020)
Simplify ((((n**2/n)/(n/(n**(-9)/n)*n))**(2/5))**(2/37))**(-1/7) assuming n is positive.
n**(44/1295)
Simplify ((((h*h/(h/(h*h/(h/(h*h**(1/11)*h*h*h))*h))*h)/h)/(h**(2/17)*h))**(-1/9))**(-1/7) assuming h is positive.
h**(1117/11781)
Simplify ((o**4)**22)**(17/4)*((((o/(o/(o*o*o/(o/((o/o**(-14))/o*o)))))/o)/o)/(((o**(2/15)/o)/o)/o*o))**(-19) assuming o is positive.
o**(803/15)
Simplify (y/y**(-27))/((y**21*y)/y*y)*y/y**(-30)*y*y/y**(-1/12) assuming y is positive.
y**(469/12)
Simplify ((m/((m/(m/(m*m**(-17/6))))/m)*(m**(2/9)*m)/m*m)/(m**8*m)**(1/3))**42 assuming m is positive.
m**(259/3)
Simplify ((m**2)**(-2/7))**(3/23)/(((m*m**(-1)*m)/((m*m**(6/11))/m))/(m*(m*m*(m/(m**(-2/7)/m))/m)/m)**(-18)) assuming m is positive.
m**(-15097/253)
Simplify ((k**5/k)/k**6)**(13/5)/(((k/((k/k**(2/7)*k)/k*k*k))/(k**(1/2)*k))/(((k**(-5/2)/k)/k*k)/(k*k/(k/(k**2*k*k))))) assuming k is positive.
k**(-367/35)
Simplify (j**(-1)/j)/j*j**(2/7)/j*j**1/j**(-1/8)*(j**1)**26*j**(-5)*(j*j**(-7))/j assuming j is positive.
j**(639/56)
Simplify (u**(1/2)*u**(9/5)*(u**(-7)/u)**(-9/13))**37 assuming u is positive.
u**(37703/130)
Simplify (o*o*((o**(1/2)*o)/o*o)/o*o)**(-5/8)*(o*(o**8*o)/o*o)/o**(-5/6)*((o**0/o)**(1/51))**(-15) assuming o is positive.
o**(7295/816)
Simplify (y**(-1/10)*y*y/y**(2/5))**(2/31)/(y**(-6)/(y*y**2*y*y*y)*(y*y**(-2/3))**(-1/29)) assuming y is positive.
y**(32656/2697)
Simplify (f**13/(f/(f**4*f))*(f/f**8)/f**(-3/5))**(12/7) assuming f is positive.
f**(636/35)
Simplify ((v**6*v)/(v*v*v**(1/3)/v*v*v)*(v/(v/((v*v/(v/(((v/(v**2/v))/v)/v*v)))/v)*v))**(-23))/((v*v**(1/4))**(-6)*(v**(2/5))**6) assuming v is positive.
v**(1643/30)
Simplify ((c*c*c*c**(-2/5))**(-20/9))**2/((c*c*c*c*c*c**(5/4)*c*c*c)/c**(-1/3))**(-2/5) assuming c is positive.
c**(-139/18)
Simplify (((p**(-6/7)*p**(-6/7)/p)**0)**(4/17))**(-9/7) assuming p is positive.
1
Simplify (((j*j*j*(j**0*j)/j)/(j*j/j**(2/7)))/((j/(((j*j*((j/(j**4/j)*j*j)/j*j)/j*j)/j)/j))/j**5))/((j**1)**(-2/19))**(-5/13) assuming j is positive.
j**(9069/1729)
Simplify (((a/a**(1/4))/a*a**(-4)*(a**4)**(4/11))**8)**(-42) assuming a is positive.
a**(10332/11)
Simplify (f*(f*f*f**(1/20)*f)/f*f)**50*(f*f**(-10))**(-10) assuming f is positive.
f**(585/2)
Simplify (v**(-1/7)*v**8)**11*((v*v**1*v)**(1/4))**28 assuming v is positive.
v**(752/7)
Simplify (m/(m*m/(m/(m**(-39/4)/m))))/m**(5/6)*((m**(-4/27)/m)/m*m)/(((m*m**45)/m)/m) assuming m is positive.
m**(-3805/108)
Simplify ((c**(2/69))**(-11/3)*(c/c**(3/10))**36)**(-2/117) assuming c is positive.
c**(-51944/121095)
Simplify (y*y**8*y/y**(-5)*y**9*y/y**(-2/5))/((y*y**7*y*y*y)/(y*y**5))**(-2/77) assuming y is positive.
y**(9829/385)
Simplify (f/f**(15/2))**(-3/11)/((f*f/f**(-41))/f**(-29)) assuming f is positive.
f**(-1545/22)
Simplify ((i**(-2))**(-23)/(i*i**(-2))**(-11))/(i**8/((i/i**(-1))/i*i)*((i*i/i**(1/4))/i)**(-10/3)) assuming i is positive.
i**(63/2)
Simplify ((i/(i*((i**(2/69)/i)/i)/i)*i/i**(-3/7))/(i**(9/4)*i*i**(12/11)))**(3/20) assuming i is positive.
i**(1247/141680)
Simplify ((a**(2/7))**40)**(2/23)/((a*a**(-1/4)*a*a)**(1/37)/(a**0/(a*a**(2/7)))) assuming a is positive.
a**(-8727/23828)
Simplify (((l*l/(l*(l*l**15/l)/l*l))/l*l)**19/((l*l**2*l)/(l**(-1/3)*l)))**(-16/5) assuming l is positive.
l**(12928/15)
Simplify (((x**1/x)/x)**(-7/4)/(x**(2/13)/x**(-4)))/((x**(-5)*x*x**(-1/4)*x)/(x*x/(x*x/(x*x*(x*(x/(x*x**(-1/3)*x))/x)/x*x))*x)**(-20)) assuming x is positive.
x**(-1787/39)
Simplify (q**(1/4)*q)**26*q*q**(-1/4)*q*q**(-4)*((q/((q/(q*q**(-2)*q))/q*q))/q)**(1/25)*(q**(-2))**36 assuming q is positive.
q**(-4179/100)
Simplify (a*a**(-2/11)/a*a/(a**(-1/2)*a))**(-1/29)/(a**(-5/2)*a*((a**(-1/2)*a*a)/a)/a)**(6/31) assuming a is positive.
a**(7439/19778)
Simplify h**(-2)/h**(2/13)*(h/(h*h**(-2/7)))**(-5)*(h*h/(h**(-1/4)/h)*h*h**(-2/7))/(h**(-1)/(h**(3/2)*h)) assuming h is positive.
h**(1413/364)
Simplify (((b**6/(b/(b/(b/(b**9*b*b)))))**37)**(-9/7))**(-42) assuming b is positive.
b**31968
Simplify (q**2*q/q**(-3)*q)/(q**(-1/3)/q)**(-16/3)*(q**(2/13)/q**(-1/4))/((q*q/(q/((q*q*q/(q/q**(-2)))/q*q)*q))/((q*q/q**4)/q)) assuming q is positive.
q**(-1267/468)
Simplify ((p*p/(p/(p**13*p)))/p)/(p*(p*p*p**(-41))/p)*(p*p**26)/(p**(-44)/p) assuming p is positive.
p**125
Simplify (k*k/(k/k**(-3/13)*k)*k)**9*(k/k**(-1/4))/k*(k/(k*k**(2/55)*k))/k assuming k is positive.
k**(14691/2860)
Simplify ((n/(n/((n/(n/(n*(n*n/n**1)/n)))/n)*n))**20)**(2/61)*((n/(n*n/n**(-3)*n))/((n*n**(-1/3)*n)/n))/(n**(2/7)/n)**(-1/34) assuming n is positive.
n**(-276281/43554)
Simplify ((x/(x*x**(1/4)*x))**(-9/4))**13*(x**(-2)*x)/x**(-2)*(x*x*x*x/x**(-1)*x)**(8/13) assuming x is positive.
x**(8581/208)
Simplify ((f*f*f**(-1))**(-5/2)/((f**(-1/9)*f)/(f*f**(-2))))/((f/(f**(-2/5)*f)*f**(-3/2)/f)/(f/f**(2/5)*f)**(-2/57)) assuming f is positive.
f**(-401/171)
Simplify ((w**(-42)*(w/(w*w/w**19))/w)/(w**(-34))**(5/3))**(1/26) assuming w is positive.
w**(95/78)
Simplify (i/((i*i*i/(i**6*i*i))/i)*i**(-1/2)*i)**(5/8)*((i*i**(-1/5))/((i/(i*i**(1/5)*i))/i))/((i/(i*i**(-1/2))*i)/i)**31 assuming i is positive.
i**(-125/16)
Simplify ((k**(-25)*k*k)/k)**5/(k**(-1/44))**(-19/2) assuming k is positive.
k**(-10579/88)
Simplify (w/(w**34/w))/w**(-3/22)*w**(4/3)*w/w**(-15/2)*w assuming w is positive.
w**(-694/33)
Simplify ((k**(1/8)/k)**(4/29)/((k*k**(-2/3)*k*k)/(k*k/(k**(-1/25)/k)*k)))**10 assuming k is positive.
k**(6899/435)
Simplify ((j**1*j)/(j*j**(1/6))*((j/(j*j**(-3/2)))/j*j)/(j/j**(-1/2)))/(j**(1/7)*(((j*j**(2/21))/j*j)/j)/j*(j**0/j)/j**(2/13)) assuming j is positive.
j**(1501/546)
Simplify (((((o/((o*o*o**7)/o)*o)/o)/o)/(o/o**(2/9))*(o*o*o*o/o**(-8)*o)/(o*o**8))**(3/40))**(-14) assuming o is positive.
o**(301/60)
Simplify ((v*v**1)**(-1/19)/(v**(1/4))**10)/((v**(-2/5))**(6/11)*v**(-2)/v**4) assuming v is positive.
v**(7551/2090)
Simplify ((((q**16/q)/q)/q**30)/(q**(-6)/(q/q**(1/13))))**(-7/6) assuming q is positive.
q**(413/39)
Simplify ((g/((g**(2/3)*g)/g*g))/(g*(g*g/((g*g**5*g)/g))/g))**(-25)/((g**(-1))**(5/4)*g**(1/3)*((g/(g*g*g**(-4)*g)*g)/g)/g*g) assuming g is positive.
g**(-1013/12)
Simplify ((s**(-1/2))**(2/47))**(-6)*(s/s**(-3))/(s/(s/s**3))*(s**6*s)/(s*s**(-2/11)/s) assuming s is positive.
s**(4296/517)
Simplify ((n*(n*n*(n*n*n/n**(-1)*n)/n)/n)**1/((n**(-3)/n)/n**(1/2)))/(n*n**(4/5)/n*n*n*n*n**(-3/4))**(4/41) assuming n is positive.
n**(4183/410)
Simplify ((y/(y**7/y))/((y*y**(1/6)*y)/y))**(5/2)*((y/(y*y**(-1/3)))/((y**(-2/5)*y)/y))/((y/(y*y**5/y)*y)/(y/y**(-3))) assuming y is positive.
y**(-461/60)
Simplify ((t*t**(2/51)*t)/t**(-14)*(t**(1/2)*t)/t**20)**(-2/21) assuming t is positive.
t**(251/1071)
Simplify (((w*w**(-14))/(w**1/w))/((w*w**(-6))/w*w*w**(13/5)))**(-45) assuming w is positive.
w**477
Simplify ((r**(-4/3)/(r*r*r**(3/26)*r))/(r**(-1))**4)**(-3/7) assuming r is positive.
r**(5/26)
Simplify (a**(2/59)*a)/(a*a**(1/30)/a)*a/(a*a**(-1/7))*a**(11/6) assuming a is positive.
a**(6147/2065)
Simplify ((f*f/f**(-1)*f*f)**(-44))**(-2/87)*(f*f**(-4)*f*f**8*f)/(f**1)**43 assuming f is positive.
f**(-2692/87)
Simplify w**(-3)/w**(4/7)*(w*w**(-4/9)/w)/w**(1/4)*((w**(-1))**(-9))**(-1/6) assuming w is positive.
w**(-1453/252)
Simplify (l*l**(-1)*l)**( | {
"pile_set_name": "DM Mathematics"
} |
s -35910 rounded to the nearest 1000?
-36000
Round 2.9358 to the nearest integer.
3
What is 0.04611 rounded to three decimal places?
0.046
What is 14210000 rounded to the nearest 100000?
14200000
What is 0.045436 rounded to 4 decimal places?
0.0454
Round 0.0053889 to five decimal places.
0.00539
What is 0.00001322 rounded to 7 dps?
0.0000132
What is -1317.91 rounded to the nearest 10?
-1320
What is 4139 rounded to the nearest one thousand?
4000
What is -0.00035322 rounded to six decimal places?
-0.000353
Round -88100 to the nearest 10000.
-90000
What is -161316 rounded to the nearest 10000?
-160000
What is 17.21 rounded to the nearest integer?
17
Round -0.0000006011 to 7 dps.
-0.0000006
What is 1757.3 rounded to the nearest 100?
1800
Round 1157000 to the nearest ten thousand.
1160000
Round -24.5474 to 1 dp.
-24.5
What is -0.000005897 rounded to 7 dps?
-0.0000059
What is -56950000 rounded to the nearest 1000000?
-57000000
Round -0.0180502 to 3 dps.
-0.018
What is -120.4 rounded to the nearest integer?
-120
What is -6924 rounded to the nearest 1000?
-7000
Round 119.7 to the nearest one hundred.
100
Round -1151 to the nearest 10.
-1150
What is -12870 rounded to the nearest 1000?
-13000
What is 24490000 rounded to the nearest one million?
24000000
Round 25606.2 to the nearest 1000.
26000
Round -0.000007331 to six dps.
-0.000007
What is -0.30035 rounded to two dps?
-0.3
Round -0.000182437 to five decimal places.
-0.00018
What is 0.12298 rounded to 3 dps?
0.123
What is 0.0000003362 rounded to 7 decimal places?
0.0000003
What is -0.107055 rounded to two dps?
-0.11
What is 0.0184 rounded to 2 decimal places?
0.02
Round 0.0008133 to four decimal places.
0.0008
Round -0.00002294 to six dps.
-0.000023
What is -642.3 rounded to the nearest ten?
-640
What is 443500 rounded to the nearest ten thousand?
440000
Round 0.08488 to two dps.
0.08
What is -660 rounded to the nearest one hundred?
-700
Round 0.01268 to three decimal places.
0.013
Round 0.61167 to 2 decimal places.
0.61
What is -1762.1 rounded to the nearest 10?
-1760
What is -3790000 rounded to the nearest 1000000?
-4000000
What is -0.906 rounded to one decimal place?
-0.9
What is -0.11617 rounded to 3 dps?
-0.116
What is -9134.5 rounded to the nearest 100?
-9100
Round -264.8 to the nearest integer.
-265
What is -0.01772 rounded to three decimal places?
-0.018
Round 1308000 to the nearest 100000.
1300000
Round 2304.3 to the nearest one hundred.
2300
Round -36149000 to the nearest 100000.
-36100000
Round 0.15852 to two dps.
0.16
Round 4285000 to the nearest 100000.
4300000
Round 0.00000093568 to 7 decimal places.
0.0000009
Round -0.000030539 to 6 dps.
-0.000031
Round -0.00011672 to five dps.
-0.00012
What is -0.0363 rounded to 2 dps?
-0.04
Round 0.15822 to 3 decimal places.
0.158
What is -0.0000061144 rounded to seven dps?
-0.0000061
Round -0.000020876 to 7 decimal places.
-0.0000209
Round -0.0058563 to four decimal places.
-0.0059
What is -13.5035 rounded to the nearest integer?
-14
Round -0.00003968 to five decimal places.
-0.00004
Round -3626.2 to the nearest one hundred.
-3600
What is -0.00066 rounded to four dps?
-0.0007
What is -63220 rounded to the nearest 1000?
-63000
Round 0.003049 to five decimal places.
0.00305
Round -1186900 to the nearest 100000.
-1200000
What is -0.09721 rounded to 2 dps?
-0.1
What is -0.0000085 rounded to 6 dps?
-0.000009
What is -0.0000193 rounded to six dps?
-0.000019
What is -5720000 rounded to the nearest 1000000?
-6000000
What is -3303.34 rounded to the nearest 100?
-3300
Round -0.059989 to 2 dps.
-0.06
What is -0.000001483 rounded to seven decimal places?
-0.0000015
Round 0.00000732 to five decimal places.
0.00001
Round 227611 to the nearest one thousand.
228000
What is -0.0578 rounded to 2 dps?
-0.06
What is 534.1 rounded to the nearest 100?
500
Round 4.408 to one decimal place.
4.4
What is 0.000003862 rounded to 6 decimal places?
0.000004
Round -0.03864 to 3 decimal places.
-0.039
Round -60.5 to the nearest ten.
-60
What is -0.0070356 rounded to three decimal places?
-0.007
What is -0.0808 rounded to 2 decimal places?
-0.08
Round -170900 to the nearest 10000.
-170000
What is -0.002953 rounded to four dps?
-0.003
What is 9850000 rounded to the nearest one hundred thousand?
9900000
Round -3.9656 to 2 decimal places.
-3.97
Round -0.000004234 to seven dps.
-0.0000042
What is 8.84 rounded to the nearest 10?
10
What is -0.0001457 rounded to five dps?
-0.00015
Round 0.11343 to three decimal places.
0.113
What is 1587000 rounded to the nearest 10000?
1590000
What is 172.6 rounded to zero dps?
173
Round -17442 to the nearest one thousand.
-17000
Round -443000 to the nearest ten thousand.
-440000
Round -0.0000286297 to six dps.
-0.000029
Round -0.0010359 to four dps.
-0.001
What is -0.016014 rounded to four decimal places?
-0.016
What is 0.327 rounded to 1 decimal place?
0.3
What is 0.00001805 rounded to 6 dps?
0.000018
What is -0.0054358 rounded to four decimal places?
-0.0054
What is -0.00009298 rounded to six dps?
-0.000093
Round -0.000019256 to 7 decimal places.
-0.0000193
Round 0.00013517 to 6 dps.
0.000135
What is -0.0346 rounded to two dps?
-0.03
Round -135590 to the nearest 10000.
-140000
Round -0.000016088 to six dps.
-0.000016
Round -66.88 to the nearest integer.
-67
What is 5.674 rounded to one dp?
5.7
What is -0.0029516 rounded to 3 decimal places?
-0.003
Round 32595 to the nearest 10000.
30000
What is 0.00005735 rounded to 5 decimal places?
0.00006
What is 214430 rounded to the nearest 1000?
214000
Round -0.00002749 to 6 decimal places.
-0.000027
Round 60650 to the nearest 1000.
61000
What is -22840 rounded to the nearest 1000?
-23000
Round -0.052569 to 2 decimal places.
-0.05
Round -124.64 to zero dps.
-125
What is 0.00229 rounded to 4 dps?
0.0023
What is 0.113579 rounded to three decimal places?
0.114
What is -0.0016004 rounded to 5 dps?
-0.0016
What is -0.000052 rounded to six decimal places?
-0.000052
What is 0.000011183 rounded to seven dps?
0.0000112
Round -0.0085593 to five dps.
-0.00856
What is 0.87645 rounded to 3 decimal places?
0.876
What is 0.00000596 rounded to seven dps?
0.000006
Round 698080 to the nearest one hundred thousand.
700000
Round -0.00000856 to six decimal places.
-0.000009
Round -310600 to the nearest one million.
0
Round -0.00498 to three dps.
-0.005
Round 1034900 to the nearest 100000.
1000000
What is 0.000048112 rounded to 5 decimal places?
0.00005
What is -0.07225 rounded to one dp?
-0.1
Round -871610000 to the nearest one million.
-872000000
Round 24242 to the nearest 100.
24200
Round 968040 to the nearest one thousand.
968000
What is -0.01047 rounded to three dps?
-0.01
Round 69.55 to the nearest 10.
70
What is 385000 rounded to the nearest 10000?
390000
Round -588.91 to the nearest 10.
-590
What is -0.011052 rounded to four decimal places?
-0.0111
What is -0.0071217 rounded to 5 dps?
-0.00712
What is 0.0003417 rounded to 6 decimal places?
0.000342
Round -0.00003393 to 6 dps.
-0.000034
What is 0.06119 rounded to 2 decimal places?
0.06
Round 0.019702 to four decimal places.
0.0197
What is 0.00000996 rounded to five decimal places?
0.00001
What is -551.68 rounded to the nearest 100?
-600
What is 0.07339 rounded to 2 dps?
0.07
Round -4130 to the nearest one thousand.
-4000
What is -39010000 rounded to the nearest one million?
-39000000
Round 19877.7 to the nearest one hundred.
19900
What is 25.281 rounded to one dp?
25.3
What is -14870000 rounded to the nearest 1000000?
-15000000
What is -3.205 rounded to the nearest integer?
-3
Round 10310 to the nearest 100.
10300
Round 4600 to the nearest ten thousand.
0
Round 6.3112 to 0 dps.
6
What is 0.000003511 rounded to six dps?
0.000004
Round 961000 to the nearest one hundred thousand.
1000000
Round 0.02821 to 3 decimal places.
0.028
What is 69800000 rounded to the nearest 1000000?
70000000
What is 0.00000129722 rounded to 7 decimal places?
0.0000013
Round 7320000 to the nearest one million.
7000000
What is 59367 rounded to the nearest 1000?
59000
Round 514.24 to the nearest ten.
510
What is 1254500 rounded to the nearest 100000?
1300000
What is 276200 rounded to the nearest one hundred thousand?
300000
What is -2461000 rounded to the nearest 100000?
-2500000
What is 0.00000017318 | {
"pile_set_name": "DM Mathematics"
} |
9775. Is l a prime number?
False
Suppose 17*x = -8*x + 205803 - 69028. Is x prime?
True
Let w(q) = 80*q**2 + 2*q - 3. Let d = -3 - 0. Let j be w(d). Suppose 0 = l + 4*h - j, -h + 1346 = -5*l + 4943. Is l a composite number?
False
Suppose -57*b - 23*b + 3102160 = -0*b. Is b a composite number?
True
Let q be 4/(-14) - 395/(-35). Let o = -6 + q. Suppose w = 5*w - n - 4345, 0 = o*w + 2*n - 5441. Is w composite?
False
Suppose 0*y + 12 = y. Let r be (381/(-6))/((-2)/y). Suppose -2*s + r + 1561 = 0. Is s prime?
True
Let y(v) = 4644*v**2 + 2*v - 18. Let r be y(3). Let t = r + -22795. Is t a composite number?
True
Let j(z) = 164*z - 28. Let b be j(-2). Let o = b - -1683. Is o a prime number?
True
Suppose 151 = 11*o - 25. Suppose -2*f - 34762 = -o*f. Is f prime?
False
Suppose 136*u - 32*u - 8757944 = 0. Is u a composite number?
False
Suppose 3*z - 7 = -4. Let u be -2 + 1/(z/6). Suppose -582 = -u*y + 1874. Is y a composite number?
True
Let i(b) = -b**2 + 19. Let p be i(7). Let m = p + 27. Is (-218 + 2)/(-4) + m prime?
False
Is (-6 - 511071/(-27)) + (-16)/(-36) prime?
False
Suppose -3*y + w + 30898 = 0, -6*w - 41224 = -4*y - 10*w. Is y composite?
False
Let r = 314601 - 132022. Is r a prime number?
True
Let g(c) = 29*c**2 - 13*c. Let y be g(4). Suppose y = 4*j - 5*j. Is (-2 + (2 - 1))*j/4 a prime number?
True
Let z(l) = l**2 + 12*l - 20. Let o(n) = -6*n + 2. Let q be o(0). Let v be z(q). Is (-15)/60 - (-1626)/v composite?
True
Let k(f) = 1205*f + 1347. Is k(10) prime?
True
Suppose 22*m - 8706030 = 7*m - 15*m. Is m composite?
False
Let s = -111 + 113. Suppose -s*t + 7*t + 2*r - 131 = 0, -2*t + 2*r + 44 = 0. Let p(d) = 5*d + 77. Is p(t) composite?
True
Let k(f) = -f**3 - 3*f**2 - f + 32. Suppose 490*x + 13 = 489*x. Is k(x) a prime number?
False
Suppose 0 = -22*n + 507545 + 125813. Is n prime?
True
Let r = 25294 - 2585. Is r a prime number?
True
Let w(p) = 167*p**3 - p**2 + 31*p - 154. Is w(5) composite?
True
Let y be ((-256)/4)/(-4) + 3 + -2. Suppose -5*o = 4*p + y, -3*p + 29 = -7*p - o. Is 986/((-22)/(-8) + 6/p) a composite number?
True
Let n = 20008 + 7094. Let y = n - 17869. Is y a prime number?
False
Suppose 163*s = 32515144 + 150295387. Is s prime?
False
Let h = -11125 - -20185. Suppose -20*i = -25*i + h. Let l = 2651 - i. Is l a composite number?
False
Suppose -s + 30827 = 4*v, 2*v - v = -3*s + 7715. Let j = 13903 - v. Is j prime?
True
Suppose -4*k = 3*i - 4*i + 517, 3*i + 3*k - 1536 = 0. Suppose 5*g - 15978 + i = 0. Is g composite?
True
Let g(y) = 119*y**2 + 2*y - 5. Let x be g(2). Suppose -2*z = 86 - 82. Is z/(-1) + x + 2 prime?
True
Is 20 - (-273616 + -11 + 6) a prime number?
True
Suppose 5*u - w = 2270352, -7*u + 11*u = -4*w + 1816296. Is u a prime number?
False
Let z = -68834 - -125029. Is z composite?
True
Let k be (-27)/(-4) - (-81)/(-108). Suppose 0 = k*b - 22682 + 1040. Is b composite?
False
Suppose 2*a + 5846 = -5*r, -5*a + 17 = 32. Let t(k) = k**3 + 3*k**2 - 4*k + 3. Let i be t(-10). Let f = i - r. Is f composite?
True
Is (-37023882)/(-69)*(-2)/(-4) composite?
True
Let x = 1757 - 935. Suppose 8*h = 137 + 1151. Let b = x + h. Is b a composite number?
False
Let r(x) = 1218*x**2 + 39*x - 2. Is r(5) prime?
True
Let y = -6223 + 3126. Let r = -1044 - y. Is r a composite number?
False
Let c = 44975 - -42878. Is c composite?
False
Let m(v) be the first derivative of 25*v**3 - 24*v**2 + 28*v - 83. Is m(15) a prime number?
True
Let r(v) = -5*v**3 + 39*v**2 + 51*v + 29. Is r(-30) prime?
True
Let o(h) = 10*h**3 - 26*h**2 - 20*h + 43. Is o(21) composite?
True
Let g(o) = 209*o**2 + 334*o + 31. Is g(-24) composite?
True
Is -9*(-1)/30 + (-647467)/(-10) composite?
False
Suppose 36*v - 212 = 32*v. Suppose 61 - v = -4*l. Is ((-9)/(-27))/(l/(-354)) a composite number?
False
Let t = 730 - -11005. Suppose 4570 + t = 3*x. Is x composite?
True
Let o(c) = 48*c**2 - 9*c + 184911. Is o(0) a prime number?
False
Let m(o) = 15*o**3 - 2*o**2 - o + 5. Suppose 5*t = -4*a + 45, 3*a + 3*t + 7 = 37. Suppose a*x = 35 - 15. Is m(x) a composite number?
False
Let u(y) = -4268*y + 3987. Is u(-80) a composite number?
True
Let n be (-6 - (-112)/35)/(1/(-835)). Suppose -4*x + n = 110. Is x a composite number?
False
Suppose -5*g + 9*g = 472. Let z = g + 153. Suppose 4*p = -4*j + 256, -3*p - p + j + z = 0. Is p composite?
False
Let z(c) = -59*c**3 + 64*c**2 - 18*c - 79. Is z(-20) a composite number?
True
Is (-16)/312 - 57999937/(-663) prime?
True
Is ((-6)/8)/((-69)/42528196) composite?
False
Let n = 829452 - 427311. Is n a composite number?
True
Let f(n) = 6*n**3 - 24*n + 19. Let q(l) = 11*l**3 - 49*l + 39. Let v(g) = -5*f(g) + 3*q(g). Is v(12) a composite number?
True
Is (-73877)/(4531/(-161) + 28) composite?
True
Let s = -34 + 467. Suppose -3*t = -i + 151, 12*i - 4*t = 9*i + s. Is i a prime number?
True
Let d(q) = 50833*q - 20. Is d(7) a composite number?
False
Let k = 39 + -26. Let s be (-1 - 1/(-3))*(k + -16). Is ((-5002 - 4)/s)/(-1) prime?
True
Suppose -5*z + 23009 = -h, z + h = -0*z + 4597. Suppose 3*b - 13847 = 5*v, 2*b - b = -2*v + z. Is b composite?
True
Let y = -186267 + 468004. Is y a prime number?
True
Suppose -5*d + 607570 = 4*f, 443047 = 3*d + 3*f + 78505. Is d prime?
False
Suppose 156 - 176 = -4*h. Suppose -3*g + 5*g - h*v = 34896, v - 17455 = -g. Is g a prime number?
False
Suppose -144*v + 134*v = 5560. Let x = 1927 - v. Is x a prime number?
False
Let v(t) = 1815*t**3 + t**2 + 15*t - 2. Is v(3) a composite number?
False
Let w(v) = v**2 - 6*v - 6. Let n be w(6). Let i(p) = 2*p + 2. Let t be i(n). Is t/25 + (-314)/(-10) a composite number?
False
Is (1*4 - (-53079)/39) + -4 a prime number?
True
Suppose 4*j = 2*v + 20, -v - 2*v = -5*j + 25. Suppose v = -y + 2*q - 0*q + 23560, -y - 3*q + 23565 = 0. Let t = y + -14029. Is t a prime number?
True
Is (336094/(-5))/(-9 + -2 - 318/(-30)) prime?
False
Suppose 4*h - 16 = 0, 0 = -4*u - h + 4*h + 44. Suppose -q = -3*m - 14917, -16*m + 59696 = 4*q - u*m. Is q composite?
False
Let a be (-3)/(-2) - (-3 - (-20)/8). Suppose -216 = -u - 0*g + 5*g, 2*g + 440 = a*u. Is u a composite number?
True
Let d = -358 + -253. Let a = d - -1660. Is a a composite number?
False
Let x(q) = -73*q + 47. Suppose 0 = 5*b + 5*y + 120, 5*b + 118 + 2 = 3*y. Is x(b) composite?
True
Let a(i) = -9*i + 3. Suppose -45 = 2*k + n - 4*n, 0 = -k - 2*n - 5. Let d be a(k). Suppose 5*p = 2*y - 83, -y - 2*y + 3*p + d = 0. Is y a prime number?
False
Let k(h) be the third derivative of h**5/20 + 23*h**4/24 + 59*h**3/2 - 142*h**2. Is k(-11) a prime number?
False
Let o = -5148 + -11288. Let a = -10309 - o. Is a a composite number?
True
Let o be ((-58)/(-4))/(-2 - (-49399)/24696). Suppose 18*w + i - 51144 = 14*w, 4*w = 2*i + o. Is w a composite number?
True
Let g be (-36)/(-28) + -1 - (-164)/14. Let j = -12 + g. Let q(t) = t**2 + 3*t + 46. Is q(j) a prime number?
False
Let g = 19462 - -42997. Is g composite?
False
Suppose -5*c = 3*v - 20, 12*v - 9*v = -3*c + 6. Suppose 24665 = c*g + 7683. Is g composite?
True
Let q(x) = -26*x**3 - 5*x**2 + 10*x + 39. Is q(-10) composite?
False
Suppose 2*z - 1000 = -6302. Let x = -918 - z. Is x a composite number?
False
Suppose 37*n = 43*n - 17478 - 96204. Is n composite?
False
Let a(j) be the third derivative of j**5/60 + 3*j**4/8 + 10723*j**3/6 - 12*j**2. Is a(0) composite?
False
Suppose -18*d = -8*d + 90. Let y(b) = 37*b**2 - 3*b - 59. Is y(d) a prime number?
False
Let u(n) = n**3 + 42*n**2 + 47*n + 32. Let j be u(-32). Suppose -j = -3*q + 3718. Is q a composite number?
True
Is (-192)/(-27 - -3) + 91*107 prime?
False
Let h(f) be the first derivative of -11*f**4/2 - 5*f**3/3 - 8*f**2 - 31*f + 202. Is h(-4) composite?
False
Suppose -8*x = 49 - 65. Let l(y) = 67*y**3 - y + 1. Is l(x) composite?
True
Suppose 8*m = -m - 9. Let x(v) = 37*v - 234*v - 236*v + 57 - 53. Is x(m) a composite number?
True
Suppose -142*p + 26935687 + 13357519 + 14518652 = 0. Is p composite?
True
Suppose 5 = 5*v, 0*m + m + 2*v = 17. Is (m/(-21))/(-5) + (-162384)/(-14) prime?
False
Let o = 150216 - -75517. Is o a composite number?
False
Suppose -280*u + 255618460 = -11*u + 71*u. Is u prime?
False
Let m be (2 + -5)/(66/(-77726)). Suppose w + m = 5*b - 54574, 23240 = 2*b + w. Is b a composite number?
False
Is (1/(3 - 0))/((-14)/111640368*-8) a prime number?
True
Let y(d) = 47 | {
"pile_set_name": "DM Mathematics"
} |
unded to the nearest 10?
-40
Let a = -5.29 + 5.290161. Round a to four dps.
0.0002
Let b = 10116118.99957 + -10116030. Let r = -92.8 + 3.8. Let t = r + b. Round t to four decimal places.
-0.0004
Let q = -0.0136001 - -0.0133. What is q rounded to five decimal places?
-0.0003
Let n = -25.1 + 14. Let w = n + -0.9. Let h = -12.18 - w. Round h to 1 decimal place.
-0.2
Let d = 2531.987819 + -2532. What is d rounded to four dps?
-0.0122
Let z(n) = n**2 + 12*n + 3. Let c be z(-11). Let h be ((-31758)/c + (-1)/(-4))*-1. What is h rounded to the nearest one thousand?
-4000
Suppose b - 30 = -5*b. Let c(o) = -201*o**2 + 6*o - 5. Let n be c(b). Round n to the nearest 10000.
-10000
Let h = 0.24 - 0.25. Let u = -0.018 + h. Round u to two dps.
-0.03
Let f(v) = -v**2 - 3*v + 2. Let g be f(2). Let r = -11 - g. Let m be (32/12 + r)*159. What is m rounded to the nearest ten?
-50
Let w = 252 + -252.0065. What is w rounded to four dps?
-0.0065
Let k = 2.44 + -2.4465. Round k to 2 decimal places.
-0.01
Let h = 0.965877 - 21.966017. Let d = -21.11 - -0.11. Let k = d - h. Round k to 5 dps.
0.00014
Let n = -0.408 - 43.492. Let h = -42 - n. Let l = h + -1.89999976. What is l rounded to 7 dps?
0.0000002
Let k = -125096498.9000222 - -125096333.9. Let v = 165 + k. What is v rounded to 5 dps?
-0.00002
Let v = 172 + -287. Let n = v + -5. Let j = n + 120.071. Round j to 2 decimal places.
0.07
Let b = 107 - 98. Suppose -11*l + b*l = -906. Round l to the nearest 100.
500
Let l = 9.75 + -8. Let v = l + 0.5. Round v to 1 dp.
2.3
Let a = -1441576256 - 60283628. Let f = 1501859722.9999933 + a. Let o = -161 - f. What is o rounded to six decimal places?
0.000007
Let y = 4.3 + -4. Let v = y + -0.30044. Round v to four decimal places.
-0.0004
Let o = 225 - 220.37. Let k = -4.6299809 + o. Round k to 6 decimal places.
0.000019
Let x = 20869761.67 + -20870071.6700814. Let g = -310 - x. What is g rounded to 5 dps?
0.00008
Let n = -0.002 + 0.058. Let j = n - 0.05600061. What is j rounded to seven dps?
-0.0000006
Suppose -15*n = 16*n + 4411300. What is n rounded to the nearest ten thousand?
-140000
Let w = -930.9 - -935.899984. Let a = 5 - w. Round a to five dps.
0.00002
Let i = -13 - -13. Let l = i + -4. Let g = -3.9984 - l. What is g rounded to three decimal places?
0.002
Let b = 16 + -14. Let n be (-1)/(-1)*(b + 2). Suppose -1614 = n*m + 3946. What is m rounded to the nearest one hundred?
-1400
Let r(g) = -556998*g**2 - 6*g + 4. Let v be r(1). What is v rounded to the nearest one hundred thousand?
-600000
Let q = 1.136 + -1.22. Let y = q + 0.08399781. Round y to 7 dps.
-0.0000022
Let a = -570.72 + 552. Round a to the nearest integer.
-19
Suppose 0 = -2*i - 477 + 1815. Suppose -5*a = 4*v + 104780, -4*a + 104075 + i = -4*v. Let q = 12190 + v. Round q to the nearest one thousand.
-14000
Let m = -5248255.9999976 + 5248222. Let l = m + 34. What is l rounded to 7 decimal places?
0.0000024
Let m = -22557 + -70043. What is m rounded to the nearest ten thousand?
-90000
Let d(v) = -13*v + 415*v**2 - 125*v**2 - 106*v**2 - 12. Let q be d(-6). Round q to the nearest 1000.
7000
Let k = 7541 - 7540.6269. Round k to two dps.
0.37
Let l = -30 - -75. Let z = 86150.84023 + -86195.84. Let i = z + l. What is i rounded to 4 dps?
0.0002
Let v = -0.0599 - -0.0596772. What is v rounded to five decimal places?
-0.00022
Let f = 61.93692 - -0.09308. Let n = -1.03 + f. Let l = -50.9 + n. Round l to the nearest integer.
10
Let o(i) = i**3 - 10*i**2 - 24*i + 17. Let g be o(12). Suppose g*q = 7*q - 7240. Round q to the nearest ten.
-720
Let y = -44 - -11. Let l = -32.99999948 - y. Round l to seven dps.
0.0000005
Let p = 6.83 - 0.33. Let g = p + 1.7. What is g rounded to the nearest integer?
8
Suppose 3*j - 2 = -f, 0 = -3*j - 0*j - 4*f + 8. Let v be j - (-1)/(-3) - (-277559)/87. Round v to the nearest one hundred.
3200
Let n = 5 - 5.2. Let c = 0.2 - n. Let f = c + -0.400008. What is f rounded to 6 dps?
-0.000008
Let n = 1801.001009 - 1801. What is n rounded to five dps?
0.00101
Let d = 9284.06779 - 9284. Round d to 2 decimal places.
0.07
Let p = 1218001192 - 1218001343.0000002. Let x = p - -151. What is x rounded to seven dps?
-0.0000002
Let y = -307438.9747241 - -307439. Let k = 0.0253 - y. What is k rounded to six decimal places?
0.000024
Suppose -29*r + 31*r = -6. Let h be (4/r)/((-13)/536250). Round h to the nearest ten thousand.
60000
Let b = 50018508 - -11981492. Suppose q + 4*q - b = 0. Round q to the nearest 1000000.
12000000
Let b(q) = -121899*q - 121. Let p be b(21). Round p to the nearest 1000000.
-3000000
Suppose -3*y + 19 - 7 = 4*z, -4*z = -5*y + 20. Suppose -5891890 - 5608104 = -5*m - 2*v, 0 = m + y*v - 2299988. What is m rounded to the nearest 1000000?
2000000
Let k = -46 + 91. Suppose 3*q = -0*q - k. Let u be ((-400)/q)/(2/(-100500)). Round u to the nearest one hundred thousand.
-1300000
Let w = 93.961 + -94. Let g = w - 0.045. What is g rounded to two decimal places?
-0.08
Let t = -73.254371 + 96.2543706. Let c = -23 + t. What is c rounded to 6 dps?
0
Let c = -36.76 + 39. Round c to 1 dp.
2.2
Let s = 0.02 - -5.58. Let v = 4 - s. What is v rounded to zero decimal places?
-2
Let a = -6.17 - -6. Let m = 0.05 + a. Let h = 1.82 + m. What is h rounded to the nearest integer?
2
Let t = -229.5 - -15.5. Let s = t - -89. Let o = -141.1 - s. Round o to 0 dps.
-16
Let i = -0.0701 - -323.0701. Let f = 323.00000147 - i. Round f to 7 decimal places.
0.0000015
Let r = -240.6737 - -240.8. Let u = 0.133 - r. What is u rounded to three decimal places?
0.007
Let p = 22 - -463. Let t = 530.9 - p. What is t rounded to the nearest ten?
50
Let x be 1/(-2)*-4 - -54486. Suppose 2*g + x = -2*g. Let r = g + 4322. Round r to the nearest 1000.
-9000
Let l = -165 + 99. Let n = -65.9999913 - l. What is n rounded to 6 decimal places?
0.000009
Let w = 36158930.7000029 - 36158925. Let m = 47 - 41.3. Let r = w - m. Round r to six decimal places.
0.000003
Let w = -111 + 190. Let h = 78.999894 - w. Round h to five dps.
-0.00011
Let d(m) = 70940*m**2 + 19*m + 190. Let f be d(-10). What is f rounded to the nearest 1000000?
7000000
Let p be (0/4)/(4 + -5). Let z be (0 + 0)/1 + p. Suppose 4*w - 5*a = -7235566 - 3604409, z = 4*a + 20. Round w to the nearest one hundred thousand.
-2700000
Let f = 1.9770654 + 0.0230666. Let h = f - 2. What is h rounded to 5 decimal places?
0.00013
Let c = -0.3 + -0.14. Let v = -0.439999 - c. What is v rounded to five decimal places?
0
Let x = 9328.443 + -9333. Let o = x - -4.8. Round o to two decimal places.
0.24
Let d = 0.34 - 0.18. Let m = 0.160083 - d. What is m rounded to five decimal places?
0.00008
Let c(a) = -1369*a**3 - a**2 + 2*a - 2. Let y(i) = i**3 + 7*i**2 + 9*i - 4. Let n be y(-5). Let b be c(n). Round b to the nearest 100.
-1400
Let f = 1121216113 - 1121210597.05183. Let c = f + -5489.948. Let z = 26 - c. Round z to four dps.
-0.0002
Suppose 0*w + 4*h + 11 = -w, -3*h = 4*w + 31. Let z(n) = n**3 + 6*n**2 - 2*n - 4. Let q be z(w). What is q rounded to the nearest 10?
-40
Let c(k) = -12004*k**2 + 1. Let x(g) = -36011*g**2 - g + 2. Let n(m) = -8*c(m) + 3*x(m). Let l be n(-1). What is l rounded to the nearest ten thousand?
-10000
Let p = 534361.700052 - 534367. Let x = p - -5.3. What is x rounded to 5 dps?
0.00005
Let b = -551 + 303. Let q = -248.0565 - b. What is q rounded to 3 decimal places?
-0.057
Let k be (-6)/(-3) - (-7 + -1). Suppose 0 = s + k + 3. Let f = 4 + s. Round f to the nearest integer.
-9
Let k(h) be the second derivative of 51*h**3/2 + h**2/2 + 6*h. Let j be k(7). Let a be 25/10*25*j. Round a to the nearest ten thousand.
70000
Let r = -11.974 - -12. Let o = r - 0.0112. Round o to 3 dps.
0.015
Let y(r) = -r**3 + 7*r**2 - 7*r + 14. Let k be y(6). Suppose 3*g + 2 = k. Suppose g*n = 18078041 + 2921959. What is n rounded to the nearest one million?
11000000
Let m be 0 + (3957*(-20)/(-12) - -5). What is m rounded to the nearest one hundred?
6600
Let c = 57 - 57.004965. Let p = c + 0.005. What is p rounded to five dps?
0.00004
Suppose 0 = 121*i - 149*i + 63196. Round i to the nearest 100.
2300
Let x = 153.000002128 - 153. Round x to 7 decimal places.
0.0000021
Let c = 174.716 + -175. What is c rounded to two decimal places?
-0.28
Let z = 58781 - 29681. Round z to the nearest 10000.
30000
Let | {
"pile_set_name": "DM Mathematics"
} |
= a - -4.79. What is the nearest to u in -1, -1/6, y?
-1/6
Let k = 567 + -591. Let v = k + 21. Which is the nearest to -2/3? (a) 2/11 (b) v (c) -10
a
Let d = -3609.07 - -3692. Let s = -0.92 - 82.08. Let k = s + d. Which is the nearest to 2? (a) -0.4 (b) k (c) 0.5
c
Let l = -8958 + 8957.6. What is the closest to -3.8 in 1/6, l, 1?
l
Let h = 438 + -437.6. Let y = 0.4 - -0.6. What is the closest to -1 in y, h, -2/21?
-2/21
Let f = 1.2 + -5.8. Let k(a) = a**3 - 10*a**2 - 16*a + 56. Let w be k(11). What is the closest to 0.2 in f, w, -3?
w
Let z = 7226/2065 + 306/59. Let o be ((-42)/8)/(25/40). Let t = o + z. Which is the nearest to t? (a) 5 (b) -0.1 (c) 3
b
Let u be 78 + (-4 - (-7 - -1)). Let v = 319/4 - u. What is the nearest to v in -5, -0.05, 1?
-0.05
Let l be 6052/(-4005) - (-7)/5. What is the closest to -0.2 in 0.2, l, -18/13, 5?
l
Let z be -2*(-1)/(3/(-6)) - 0. Let d = 1175 - 1187. Which is the closest to 2/5? (a) z (b) -2/11 (c) d
b
Let q = 0.40332 - -0.09668. What is the closest to -2 in -0.7, 1/3, q, -0.6?
-0.7
Suppose 0 = -5*h + 52 - 187. Let o = -79/3 - h. Let z = 9 - 8.1. Which is the closest to o? (a) -3/8 (b) -2/3 (c) z
c
Let l be 4 + (-10)/14 + -3. Let p = 1430 + -1428. Which is the closest to -4? (a) l (b) p (c) 4
a
Let t = 97/2 + -46. Let o = -7034/30843 - -20/3427. Which is the nearest to -1/4? (a) o (b) t (c) -1
a
Suppose 0 = 44*m - 28*m - 4848. Let d = m - 2119/7. Which is the nearest to 1? (a) d (b) 12 (c) 2
a
Let h = 1.3 - 1.4. Let f = -6.7 + 7. Let d = -2645 - -44959/17. Which is the closest to d? (a) h (b) 4 (c) f
a
Let i = 10.9926 - 9.9926. Let n = 1 - -3. What is the closest to 2/3 in i, -4, n?
i
Let z = -215.359 + 214.4. Let y = 0.87 + z. Let f = y + -0.011. What is the nearest to -1 in 4, f, -3?
f
Let t = 9/1844 - 235/922. What is the nearest to -17 in -4, 2, -3/4, t?
-4
Let k = 3.24818 - 0.24818. What is the closest to k in 1, 0.5, 0.1, -9?
1
Let n = 1851/8 - 3303/8. Let s = n + 183. Which is the nearest to -1/2? (a) -1 (b) s (c) 3
a
Let v = -5596 - -5593. What is the closest to -0.0717 in -4/7, 4, v?
-4/7
Let s = -13587 - -13587. What is the nearest to -0.1 in -5/4, s, -7/34, -2?
s
Let q = 2.3551 - 2.4551. Which is the nearest to 0.048? (a) q (b) 4/3 (c) -3 (d) 0.4
a
Let i = -0.1025 + 2.1325. Let s = i - 1.53. Suppose -3*k = -3*v - 5*k - 9, 0 = -5*v + 3*k + 4. Which is the closest to -0.1? (a) 0.3 (b) v (c) s
a
Suppose -3*w - w + 4 = 0. Let p(u) = u**3 + 3*u**2 + 3*u + 1. Let o be p(-1). Which is the closest to w? (a) -5 (b) 9 (c) o
c
Suppose 0 = 2*u - 4*u - 4. Let b = -10774/393527 + 3/2039. Let m = b - 291/3667. What is the closest to 1 in 0.2, u, m?
0.2
Let m = 254 - 1777/7. Let j be -2*44/(-24) + -4. Which is the closest to j? (a) m (b) 0.5 (c) -3
a
Suppose -10*w + 3*w + 1190 = 0. Suppose -18*n = -170 + w. Which is the nearest to 2? (a) -1/6 (b) n (c) 8 (d) -1
b
Let s(f) = 5*f**2 + 58*f + 215. Let d be s(-6). What is the nearest to d in 3/5, 0.01, -1?
3/5
Let c = -27 - -13. Let d = 13 + c. Let l = -0.1974 + 1.1974. What is the closest to d in -3/2, l, 2?
-3/2
Let d = 3.32 - -346.68. Let r = d - 346. Which is the nearest to r? (a) 4 (b) -1/10 (c) 0.5
a
Let c be 0 - -2 - (1 - 8). Suppose 14*u - 297 + 255 = 0. Suppose -c = 4*d - u*j, -10 = 4*d - d + j. What is the nearest to 0.2 in 0.5, 5, d?
0.5
Let i be 6 + (-6006)/882 + 4/42. What is the nearest to -10 in 4, i, -1?
-1
Let c(s) = 4*s + 16. Let y be c(-5). Let b be (-1)/((-6)/y + 18/12). Let j be (-5 - -1)*2/(-20). What is the closest to j in 0, 0.2, b?
0.2
Let h = -230/21 - -3868/357. What is the closest to -2 in 2, 3/95, h?
h
Suppose y = -3*q + 13, 0 = 2*y + q - 1 - 0. Let g be (4*(-5)/240)/(42/48). Which is the closest to -117/7? (a) 0.5 (b) y (c) -3 (d) g
c
Let r(q) = q**3 + 7*q**2 - 8*q. Let w be r(-8). Let t = -0.7 + 0.5. Which is the closest to w? (a) -1/3 (b) t (c) 1
b
Let x = -291.9757 + -0.0243. Let f = 291.9 + x. Let t = 0.3 + -0.2. Which is the closest to f? (a) t (b) -0.01 (c) -1/2
b
Suppose 37*y - 24 = 13*y. Let j = -0.16 - -15.16. Let i = 95.8 + -96. What is the closest to j in y, i, -2/7?
y
Let o be 9 + 1 + -5 + 33/(-9) - 0. What is the closest to 1 in -27, o, 4/5, -2?
4/5
Let h = 13804 + -13804.05. Which is the closest to -4? (a) 5 (b) h (c) -133
b
Let m be 0*(-1 + 0 - -2)*-1. Let t = -53 + 50. What is the nearest to 9 in m, t, 3?
3
Let p = 23598 + -23599. Let y = 0.07 + 4.93. What is the nearest to p in -4/7, y, -1/3?
-4/7
Let j be (4/20)/(50/100). Which is the closest to 4/35? (a) j (b) -0.4 (c) -1 (d) 0.2
d
Suppose 0 = w - 65 + 25. Let o be (45/w + -1)/1. Let r = -2.7 + -0.3. Which is the nearest to r? (a) 0.4 (b) o (c) -0.1
c
Let h = -3.88 + 3.68. Let p be ((-8)/(-10))/((-16)/(-40)). Let q be 3 + -3 - (-3 - p). Which is the nearest to -1? (a) q (b) h (c) 0.2
b
Let h(c) = -c + 4. Let p be h(6). Let s be p/(-3) - 8/12. Let x = -1967 + 3927/2. What is the closest to x in 3/7, s, 2/11?
s
Let q = -0.5186 + 0.7186. Suppose 3*r + 5*f + 17 = -0*r, 3*r = 4*f + 19. What is the closest to -0.08 in -2, q, r?
q
Let w be (-1)/(34/68 - (-2)/(-3)). Let k be -9 + (-116)/(-12) - 1/w. Let g be (-1)/((-2)/(-8)*-2). Which is the closest to k? (a) -4 (b) 0.5 (c) g
b
Let d = 1.52 + -0.22. Let x = d - 1. Let z be 8 + 150/(-18) - 17/(-33). What is the nearest to x in -4/7, z, -2?
z
Let s = 13 - 18. Let c = -8872.2 - -8110. Let f = -762 - c. What is the closest to 2 in s, f, -2?
f
Suppose 9*o = -36*o + o + 176. Which is the closest to -107? (a) -0.3 (b) -2 (c) o (d) 1/4
b
Let c(g) = 1. Let i(a) = -2*a**2 - 14. Let o(z) = -12*c(z) - i(z). Let j be o(1). What is the nearest to 0.1 in 0.2, 0.03, j?
0.03
Let g = 0.10457 + -0.13457. What is the closest to -2/3 in 1, 3/5, g, 5?
g
Suppose 0 = -m + z - 3, 0*m + 2*z = -2*m - 14. Let r = 0.839 + -0.8953. Let u = -0.2437 + r. What is the closest to -1 in m, u, -1?
-1
Let n = 2.6 + -2.5. Suppose 7*x = -2*i + 3*x - 20, 2*i - 2*x - 10 = 0. Suppose -22*j - 16 - 8 - 20 = 0. Which is the closest to n? (a) j (b) 4 (c) i
c
Suppose 87*p = 86*p - 1, 2*p + 14 = 4*k. What is the nearest to k in -2, -11, 0.5?
0.5
Let j(u) = u**3 - u + 2. Let n be j(0). Suppose -4*y + n*y = 0. Let i = 160432/145 + -32098/29. Which is the closest to 3/4? (a) -3 (b) i (c) y
c
Let i = -845 - -4212/5. Let p = 6 - 6.5. Let u = p - -1. Which is the closest to i? (a) 1/4 (b) u (c) -1/6
c
Let p be (-1)/7*(-1953)/(-372). Let y be (-5 + (-144)/(-30))/((-2)/(-8)). Which is the closest to 8? (a) 4 (b) y (c) p
a
Let t = -4027 - -24217/6. Let q = -32/3 + t. Let m = 1079/8 - 1075/8. Which is the nearest to -2? (a) q (b) -3/8 (c) m
a
Let p be 10/126 + 14/(-63). Let l be (4/(-30))/(4 + (-96)/30). Let s = l - 1/2. Which is the closest to s? (a) -2 (b) p (c) 4
b
Suppose 3*d - 4*q - 3 = -10, 0 = 4*d + 4*q. Let o be (-20 + 9)/(d/(-1)). Let n be (-2)/o + (-108)/110. Which is the closest to -1? (a) n (b) 3 (c) -1/2
a
Suppose -57*q = -58*q + 7. Let l(u) = u**3 - 7*u**2 + 2*u - 11. Let s be l(q). Suppose s*p - 4 = -7. What is the closest to -1/4 in p, 2/5, -2?
2/5
Let q = 77 + -79. Let t be (-2)/(-7) - (-2 + 1854/21). Let g = -62 - t. Which is the closest to g? (a) -4 (b) q (c) -1
c
Suppose -2*h + 4 = 0, -7*h - 64 = 2*v - 9*h. Let i be (-30)/(-12) - (-57)/v. What is the closest to -0.2 in i, 1, -5?
i
Let v(w) = 2*w + 18. Let p be v(-11). Let x be 24*(p - 1/(-3)). Let m = x - -173/2. Which is the closest to -0.2? (a) m (b) -2/11 (c) 0.15
b
Let f = -0.4932 + -0.0068. Which is the nearest to -1/4? (a) f (b) 0.22 (c) -0.02
c
Let p = -25119 + 25119.5. Let f = -482 - -12046/25. What is the closest to -2 in p, -3, f, -2/3?
-3
Let j = -211/1580 + -21/316. What is the nearest to -1/3 in 5, 1/3, j?
j
Let o = 17 + -15.06. Let d = o - -0.06. Let j = 0.92 + 0.08. What is the closest to 0 in -4, j, d?
j
Let k = -0.1186 + -1.8814. Let x = 0.05 + 0.05. What is the closest to 2/5 in 0.3, x, -12, k?
0.3
Let l = 0.04491 - -0.04509. Which is the closest to 0.1? (a) l (b) -1 (c) -0.5 (d) -1/16
a
Let g = -105335 + 12218775/116. Let v = g + -1/58. Suppose 3*y - 2 = 5*y - 5*a, 3*y - 5*a - 2 = 0. What is the nearest to v in -4/7, y, -4/3?
-4/7
Let p = 0.02342 + -1.02342. Which is the nearest to | {
"pile_set_name": "DM Mathematics"
} |
)/(-9))/((-18 + 12)/12).
-8/3
Calculate 8/55*(228 + -153) - 11.
-1/11
(-6)/33 + 136/(-544)*984/(-22)
11
Calculate 30/(-6) + ((-1)/(-7) - (-380)/35).
6
Calculate (7/(-4))/((-9)/(-14 - -23)).
7/4
What is the value of -10 - -3 - -7 - -2?
2
(-175)/315*339/(-10) + (-10)/12
18
What is (56086/14505)/(4/(-30))?
-29
What is 1332/(-4320) + 8/30?
-1/24
Evaluate (189/(-2520))/((-2)/((-10)/9)).
-1/24
What is the value of (21/(-216) - (-2)/9)/(-9 - -7)?
-1/16
What is the value of (-58)/(-203) + ((-4)/(-10) - 227/280)?
-1/8
What is (-3)/7 - 19257/(-40131)?
2/39
Evaluate -16 - 4 - 55632/(-2562).
12/7
Calculate (-9)/(-27) - (147/36 + -3).
-3/4
What is the value of 18/3 - 1/((-54)/(-300))?
4/9
(-9)/((-81)/(-4)) + 5 + 869/396
27/4
What is (12 - (-165)/(-22))*(-15)/((-135)/(-12))?
-6
Evaluate -7 + (-713)/(-23) - 3.
21
(616/(-42) + 14)*-18
12
What is the value of (-7 - 0)/((-2924)/(-129) + -23)?
21
What is ((-6)/15)/((-49)/(-98))?
-4/5
(-18)/(-30) + ((-285)/(-25) - 9)
3
What is the value of -1 + 27 - 7644/312?
3/2
(-53)/(-371) + (-142)/14*(-14)/(-14)
-10
Calculate (-454)/(-24) - (-9 - 1498/(-168)).
19
(-2 + (-252)/(-98))/(3 - 1)
2/7
Calculate (-170)/14 + 111/777.
-12
(-19)/76 - 106/(-8)
13
Calculate 23/(115/35) + -2 + (-183)/33.
-6/11
Calculate ((-5)/10)/(24/8*18/81).
-3/4
23/((-7820)/3100) + 9/1
-2/17
Evaluate (82/(-12) - -6)/(110/88).
-2/3
What is the value of 1*(-1121)/228 + (-2)/24?
-5
What is -2 + 27/(-15)*1425/(-1368)?
-1/8
Evaluate -19*2 - (-2791 - -2742).
11
Calculate -4*16/608 - (-2 - 870/(-399)).
-2/7
Evaluate 10/50*0 + -9.
-9
Calculate 26/(13520/184) - 2/10.
2/13
What is the value of (2/(-8) + (-28)/(-48))/(1025/(-83025))?
-27
What is (26/(-13) + 3)*4?
4
What is the value of -33 + 41128/1248 - 1/(-12)?
1/26
Calculate (-12)/(-30)*(0 - 0 - 10*-3).
12
Evaluate (((-12)/38)/2)/(-12*29/(-232)).
-2/19
What is the value of 198/12 + -11 + 0 + 1?
13/2
Evaluate (4/12)/((-4)/18) + (-657)/438.
-3
What is the value of ((-25)/45)/(20/8) + 0?
-2/9
Evaluate (-45)/(-180) + (-65)/100 - (-2)/10.
-1/5
Evaluate (-42)/(-49)*(-168)/(-32).
9/2
Evaluate (219 + -213 + 10/(-2))*(-38)/(-2).
19
Calculate 60/(-210) + ((-150)/(-63) - 2).
2/21
What is the value of ((-6)/(-20))/(-1*27/(-12) + 6)?
2/55
(-12)/(-90) + (-104)/30 - (4 + -7)
-1/3
Evaluate 296/(-24) - (-390)/(-585).
-13
Calculate (4 - 238/51)*1/(-3).
2/9
(45/243)/(40/24*(-6)/(-4))
2/27
30/(-25) + (27 - (-4540)/(-175))
-1/7
(-8 - (-14 + -2))/14 - (0 + 1)
-3/7
(6453/(-729) - -9)/(-4)
-1/27
What is ((-567)/14)/(-3)*(-12)/(-27)?
6
Evaluate -3 + 44/(-7) - (-12)/42.
-9
Calculate (1 - -1)*(-6)/(-4) - 5161/1191.
-4/3
What is ((-10)/(-35) + 938/147)/(10/30)?
20
What is (20/(-136))/(-4*(-50)/320)?
-4/17
((-77)/(-55))/((4/(-5))/(1 - 0))
-7/4
What is ((-4)/16)/(27/2052)?
-19
16/((-8)/4) - 3052/(-3528)*9
-3/14
Calculate ((-255)/(-9) + -20)/(3 - -2).
5/3
Evaluate 2 + -6 - (78 + -72).
-10
What is the value of 56/(-35) - (12444/30)/17?
-26
What is ((-10)/(-5))/(5 + (-1339)/273)?
21
What is ((-47)/(-141))/((-2)/(-3))*(-4)/5?
-2/5
Evaluate (8/1 - 465/93)*6/(-81).
-2/9
Calculate -2 + -3*4/4*1.
-5
Calculate 20/(-5)*8/(-24)*(-6)/(-124).
2/31
Calculate (4*10/(-160))/((-3)/(-8)).
-2/3
Calculate -6 + 20/(-5) - 8/((-8)/4).
-6
Calculate 8 + ((-46)/(-20))/(52/(-208)).
-6/5
What is (-117 + 101)*4/(-6)*120/64?
20
What is (4 - (969/(-68) + (-2)/(-8))) + -3?
15
Calculate (-46)/529 + 2160/35420.
-2/77
What is the value of 2/(-11 + 200/30)?
-6/13
-2 - ((-202)/17 - -18 - 2*4)
-2/17
Evaluate (1/5 + 9324/(-370))/1.
-25
Evaluate (-8)/(-30)*(-385)/44.
-7/3
Calculate 13 + (0 - -5 - (32 - 24)).
10
Evaluate (-4 + (-32)/(-9))*-18*16/64.
2
(8/(-6))/((-125)/150 + 14/12)
-4
What is the value of (4 + (13 - 5 - 7))*48/20?
12
What is (-1276)/40 - 864/(-27)?
1/10
What is 1/19 - (14 + (-11288)/323)?
21
What is ((-3)/117)/((-2)/12)?
2/13
174/9860*-34 + 1 + (-144)/10
-14
1*4*(-75)/(-42) + (-13)/91
7
What is the value of (-56)/(-672) - 532/48?
-11
What is 15/5*7/(-175) - (-16)/200?
-1/25
What is 2*((-51)/34 - -7)?
11
Evaluate 135/108 - 585/(-180).
9/2
What is the value of (-15)/(4080/(-512)) + -2?
-2/17
What is -2 - -1 - (-216)/240 - 1434/60?
-24
((-5)/(-14))/(45650/19173)
3/20
Evaluate 2 - 4/5 - (-8 + 17 - 9).
6/5
(8 - 7210/903)/((-6)/(-18))
2/43
What is 6/26*20/(-30)?
-2/13
What is the value of (21/((-420)/(-64)))/(((-12)/15)/(-4))?
16
Calculate (-22 + 10 + 11)*(4 - (-536)/(-132)).
2/33
(205/(-2255))/(2/(-10))
5/11
Calculate ((-3)/4)/(-6*(-21)/(-112)).
2/3
32/(-6) - 1/(6/(-42))
5/3
Calculate (-6*19/(-4))/(9/6).
19
7291/43746 + 0 + (-25)/186
1/31
What is (91/21)/((-24)/36)*2?
-13
600/(-25) - (460/(-80) + 6/8)
-19
What is (-7*(-99)/308)/((-33)/88)?
-6
Evaluate (-15)/(-66)*16/(-200)*-10.
2/11
Calculate (6/(-8))/(10 - 13) - 429/3300.
3/25
What is the value of 5/1 + (-5 - 30/(4 - 7))?
10
Calculate -3 - 4 - (8 - (-1881)/(-126)).
-1/14
Calculate (0 + (-5)/(-6))/(11*175/(-3465)).
-3/2
Evaluate (-1432)/(-120) + -12 - (-3)/(-5).
-2/3
What is (45/(-9) - (-84)/18)/(42/(-224))?
16/9
Calculate ((-9)/(-60))/((-105)/28 + 3).
-1/5
Evaluate 4/(-3)*(6 + (9 - (-1215)/(-80))).
1/4
6 + (6/(-96))/((-8)/(-776))
-1/16
What is 18/(-324) - (-28)/(-360)?
-2/15
What is (-6039)/29524 - (-4 + (-126)/(-33))?
-1/44
Evaluate (-30)/(-5) + 17/1 - (-9 + 17).
15
What is (-1*10/2)/(493/1479)?
-15
What is the value of 1/6 - (-7161)/(-1386)?
-5
Evaluate -3 - (18/6 - 1)/((-2)/7).
4
Calculate (1 + (-17)/20)*(589/(-93) - -7).
1/10
Evaluate 75/(-3) - (-195)/39.
-20
Calculate (-2 + (-8)/6)/(364/546).
-5
What is the value of (54/(-120) - (-1)/4)/(12/8)?
-2/15
What is (192/128)/((9/(-48))/1)?
-8
What is 4/30 + (-28)/420?
1/15
Evaluate 10*(-51)/19125*(1 - 6).
2/15
What is the value of (-2216)/(-72) - (-144)/648?
31
(35 - 1) + (-180422)/5310
1/45
What is 585 - 574 - 79/7?
-2/7
What is the value of 3 + 70/(-60)*6 + (-30)/(-4)?
7/2
((-2)/(-6))/((-3)/90 + 0)
-10
Calculate 147/42*-8 + 15.
-13
((-16)/(-60))/(30/(-125))
-10/9
Calculate (3/6 - 1)/((169/416)/13).
-16
What is the value of 117007/(-5324) - (1 + -23)?
1/44
(-93568)/(-5168) + (-36)/((-8)/(-4))
2/19
What is the value of 36/(-399)*35*(-19)/2?
30
1*(-8)/1 - (-7828)/988
-1/13
What is (-6 - -4)/((-5)/(-5))?
-2
What is the value of (36/33)/(444/6512)?
16
Evaluate (-8)/(-20) + (-19)/35 + 935/77.
12
What is the value of ((-10)/1190)/(2/(-34))?
1/7
What is the value of (233 + -237)/(16/(-28))?
7
What is the value of -20 - (-39)/26*70/15?
-13
What is (-4)/10 + 2032/4445?
2/35
What is -10*22/(-14) - 46/(-161)?
16
Calculate (4*-1)/(3*192/36 + -2).
-2/7
-34 - 40303/(-574) - 36
3/14
(-3 + 1)*1*(-68)/4
34
((-1)/(-2)*36/(-1602))/(5/10)
-2/89
What is (-1)/(20 + (-9207)/459)?
17
Evaluate 6 - 30/(-21) - 16*2/4.
-4/7
Evaluate 63/(-14)*(-62)/93.
3
What is the value of (1 + 5)*1/(45/(-18) + 2)?
-12
What is ((-16)/216 - (-86)/432)*(-68 + 0)?
-17/2
25/(-14) - 855/1197
-5/2
(24/(-54) + (-4)/18)/((-2)/36)
12
Calculate (-84)/105*((-10)/(-4))/(1/2).
-4
What is the value of 960/(-3040) + (-1692)/57?
-30
What is the value of (7/((-70)/(-12)))/(627/(-2090))?
-4
What is the value of (-3 - (9 + -14)) + 6 - 6?
2
Evaluate ((-6)/8)/(72/6708*13) + 5.
-3/8
What is the value of (-3)/30*45/54*-2?
1/6
What is (3 - (10/(-4)*-1 + 1))*6?
-3
What is the value of (-1770)/(-7434) + (-3)/(-7)?
2/3
What is the value of ((-302)/(-17214))/((-5)/90)?
-6/19
Evaluate ((-4365)/582)/(3/(-2)).
5
Calculate (-1 + 910/950)/(8/(-20)).
2/19
What is the value of (-1)/8 + (-7636)/1120 + (-126)/(-18)?
2/35
What is ((-7007)/(-21))/(-13) - -13 - -13?
1/3
Evaluate (5 - -6) + 120/(-10 - 2).
1
What is the value of (-2)/4*6 + -8 - (-94)/(-47)?
-13
Calculate 7 - 250*((-119)/(-252))/17.
1/18
What is 73/(-2555)*3*-5?
3/7
What is the value of 429/(-26)*(-18)/231?
9/7
158/(-22) - (69 + -76)
-2/11
2 + (-60)/5 + 11 + -14
-13
What is the value of (-1 + 0)*19/6 + (-28)/(-168)?
-3
What is (-2)/(-44 - (-14 + -26))?
1/2
What is the value of (-17)/(4624/32) + (-90)/102?
-1
Evaluate (-4504)/(-5630)*(-15)/4.
-3
What is ((-423)/(-3807))/((3/(-4))/(9/6))?
-2/9
Calculate (-115)/5 - 1*-1*(1 - 4).
-26
Calculate 21*-21*40/980.
-18
What is the value of 11 - (-9 - -3) - (-5 + 2 + 6)?
14
What is the value of ((0/(-3)*12/72)/(-3))/(-3)?
0
(-1178)/260 - (-3070)/99775
-9/2
What is -1*5/(140/196)?
-7
What is the value of 10 - (101371/10452 - 2/(-8))?
2/39
Evaluat | {
"pile_set_name": "DM Mathematics"
} |
-32788623 divided by -15547
2109
Divide -63036060 by -1.
63036060
Divide -210370507 by -210370507.
1
Calculate -250090 divided by -178.
1405
Calculate -539268 divided by 157.
-539268/157
What is 93568670 divided by 20105?
4654
Calculate 751792383 divided by 83532487.
9
-203826240 divided by 192
-1061595
Divide -10578 by 2563.
-10578/2563
Divide -72712131 by -3657.
19883
What is 49505445 divided by -1431?
-34595
Divide 4 by -1989774.
-2/994887
Divide -2 by -37818564.
1/18909282
Divide -148974 by -145.
148974/145
734185351 divided by 6
734185351/6
Calculate 6589400 divided by 1317880.
5
-17429 divided by -472
17429/472
What is -301294 divided by 16?
-150647/8
Calculate 0 divided by -2478437.
0
Divide -34055346 by 11351782.
-3
Calculate -1935351 divided by 19549.
-99
Calculate 561731 divided by -16.
-561731/16
7679750 divided by -1535950
-5
-431673981 divided by 4
-431673981/4
-627 divided by 410709
-209/136903
Divide -25728156 by -2858684.
9
Calculate 67642288 divided by -1207898.
-56
Divide -67482792 by 165399.
-408
Calculate 1682107 divided by 240301.
7
Divide -858663 by 108.
-95407/12
What is 39214824 divided by 594164?
66
What is 2849888 divided by -89059?
-32
Calculate -9 divided by -2112430.
9/2112430
3309037 divided by 6
3309037/6
What is 395965834 divided by 4082122?
97
1843022938 divided by -1
-1843022938
Divide 175179040 by -1904120.
-92
What is -10988392 divided by 86?
-127772
Calculate -40339865 divided by -6.
40339865/6
-894370075 divided by 1865
-479555
Calculate -194 divided by 11056.
-97/5528
Divide 653525 by 214.
653525/214
-3788300 divided by -757660
5
Divide -225742420 by -594059.
380
Divide -80698068 by -407566.
198
Divide -18 by -349955.
18/349955
Calculate 1837862 divided by -13.
-141374
Divide 15640 by 1559.
15640/1559
Calculate -5373 divided by 8.
-5373/8
Divide -9163080 by -4.
2290770
What is 269458596 divided by -4?
-67364649
What is -18660300 divided by -150?
124402
Divide 1599 by -4842.
-533/1614
Divide 9310984 by 2327746.
4
99 divided by 2362978
99/2362978
Divide 189428627 by 9781.
19367
Divide 92047728 by -30682576.
-3
Divide -94058403 by 111.
-847373
Calculate 392956488 divided by 6.
65492748
19249688 divided by 60
4812422/15
Calculate -27487418 divided by 4.
-13743709/2
-61647894 divided by -49161
1254
What is -360453112 divided by -260443?
1384
What is 34809684 divided by 63754?
546
-101385260 divided by 20277052
-5
Calculate 5 divided by 4018145.
1/803629
What is 0 divided by -2706949?
0
What is 22441230 divided by -1611?
-13930
What is 4 divided by 21209?
4/21209
Divide -11876380 by 4.
-2969095
Divide -23071 by -138.
23071/138
What is -98922780 divided by 846?
-116930
Calculate 174386599 divided by 1.
174386599
What is 760060 divided by -27145?
-28
Calculate 56502360 divided by 135.
418536
Divide 65972459 by 1.
65972459
Calculate -304629912 divided by 555894.
-548
Calculate 248539280 divided by 176.
1412155
140046357 divided by -43131
-3247
What is 591786 divided by -13?
-45522
Divide 12536412 by -35116.
-357
Calculate 24110 divided by -19.
-24110/19
Divide -4789 by -2793.
4789/2793
Calculate 11463047 divided by 138109.
83
What is 0 divided by -4624155?
0
Divide 2398800 by 30.
79960
What is -6622875 divided by 441525?
-15
Divide -159010606 by 159010606.
-1
What is -1116758 divided by -75?
1116758/75
Calculate 195215580 divided by -420.
-464799
-11852445 divided by -37155
319
Divide -13802850 by 8325.
-1658
Calculate -30 divided by -164435.
6/32887
Calculate -1040 divided by -3707.
1040/3707
What is 87314994 divided by -6?
-14552499
Divide 4 by -5260939.
-4/5260939
Calculate -116240 divided by -690.
11624/69
Calculate 12248892 divided by 4082964.
3
What is -4833601 divided by -60?
4833601/60
-380743397 divided by -1
380743397
4 divided by -149425236
-1/37356309
Calculate -22640457 divided by 1253.
-18069
37847888 divided by 4
9461972
What is -350 divided by -8435?
10/241
-5159768 divided by -5
5159768/5
Divide 115 by 3629.
115/3629
What is 2195064 divided by -2?
-1097532
-6550431 divided by 2183477
-3
Calculate -457215012 divided by -23094.
19798
Divide -4497528 by -16908.
266
Divide 7813401 by 2.
7813401/2
Calculate 16991 divided by 30.
16991/30
Divide -38 by -429999.
38/429999
What is 7 divided by -29050?
-1/4150
-33 divided by 126342
-11/42114
What is 2 divided by -8437844?
-1/4218922
-53931833 divided by -7
53931833/7
Divide 163 by 1988594.
163/1988594
Divide 5105483 by 58.
5105483/58
Calculate 8844699 divided by 2948233.
3
Calculate 114928485 divided by -1094557.
-105
Calculate 16 divided by 4486632.
2/560829
2237600 divided by -40
-55940
Calculate 1875530324 divided by -6.
-937765162/3
What is 444540 divided by 6?
74090
Calculate 34139804 divided by 6.
17069902/3
What is -303789941 divided by 91?
-3338351
Divide 15 by -718966.
-15/718966
What is 33868692 divided by 78948?
429
Calculate 13815028 divided by 3453757.
4
What is -1 divided by 1295666?
-1/1295666
What is -44 divided by 98342?
-22/49171
2538 divided by -6500
-1269/3250
Calculate 1052110 divided by 5.
210422
Divide -107022540 by 32829.
-3260
What is 35173202 divided by -59314?
-593
2635420 divided by -658855
-4
Calculate -365893 divided by 4.
-365893/4
940163908 divided by -1094
-859382
What is 30219 divided by -914?
-30219/914
Calculate -6673156 divided by 854.
-7814
What is -5894798 divided by -9254?
637
Divide 488861103 by 3.
162953701
15747036 divided by -4
-3936759
Calculate 149755391 divided by 5163979.
29
Divide 1014 by -7608.
-169/1268
-1 divided by -16916863
1/16916863
Divide -256753612 by 6.
-128376806/3
What is -9175740 divided by -187260?
49
1608 divided by -18106
-804/9053
What is -142579892 divided by -27014?
5278
What is -117765675 divided by 9?
-13085075
-160833 divided by -812
160833/812
Divide -204699 by 36.
-68233/12
What is -20152304 divided by 1259519?
-16
Calculate -1 divided by -45110630.
1/45110630
Divide -394448 by -356.
1108
Calculate 0 divided by 48110682.
0
Divide 1345 by 17031.
1345/17031
Calculate 384335 divided by -326.
-384335/326
30484656 divided by 10161552
3
Calculate 314890784 divided by -322634.
-976
What is 11590379 divided by -1?
-11590379
What is 2232 divided by 406213?
2232/406213
Divide 2307196 by -4.
-576799
Divide -1086481430 by -5.
217296286
Calculate 79758756 divided by -13761.
-5796
Divide 71245790 by 1.
71245790
Divide -171094272 by -768.
222779
What is -4752246 divided by 62?
-2376123/31
-58307621 divided by -28073
2077
What is 2176426 divided by 1162?
1873
What is -66378 divided by 515?
-66378/515
Calculate 11011313 divided by -1973.
-5581
Divide 281 by -787031.
-281/787031
What is -79791767 divided by -14?
79791767/14
Divide 9 by 173338976.
9/173338976
Calculate 6470185 divided by -2.
-6470185/2
Calculate 36189139 divided by -2711.
-13349
Divide 97092108 by 39087.
2484
Divide 10630 by -230.
-1063/23
-9205498 divided by -2
4602749
123904000 divided by 225280
550
Calculate 3549128 divided by -44.
-80662
Divide 71286 by 11824.
35643/5912
Calculate 0 divided by 1900509.
0
What is 2888354 divided by 206311?
14
Calculate -161966450 divided by 111701.
-1450
Calculate -91844392 divided by 45922196.
-2
-5 divided by -3240941
5/3240941
Divide -1028759 by 709.
-1451
Divide -2534044 by -53.
2534044/53
What is -19611498 divided by 179922?
-109
What is -3265695 divided by -31?
105345
Divide -20731106 by -1718.
12067
What is 8986 divided by 11?
8986/11
49 divided by 570215
49/570215
Divide -5547780 by 102.
-54390
Calculate -55 divided by 346092.
-55/346092
Divide -209012150 by -5.
41802430
Divide 3092522 by 8.
1546261/4
Calculate -13170209 divided by -2.
13170209/2
Divide 6109534 by 4951.
1234
Divide -120497139 by -729.
165291
Divide -1095805314 by -3.
365268438
Divide 210 by 2050259.
210/2050259
Divide 3821325 by -1.
-3821325
-217554 divided by 148
-108777/74
Calculate -19850233 divided by 2.
-19850233/2
752039400 divided by -210
-3581140
Calculate 11298245 divided by 2259649.
5
Calculate -172302 divided by 22.
-86151/11
Calculate 320597130 divided by -35.
-9159918
What is 8820581 divided by -2?
-8820581/2
What is 572871 divided by 15?
190957/5
1315920 divided by 2
657960
-9728 divided by 11912
-1216/1489
Calculate 83813535 divided by -5.
-16762707
What is 59347 divided by 475?
59347/475
-69213333 divided | {
"pile_set_name": "DM Mathematics"
} |
2*x**2) as u*x**3 + i*x**2 + a + o*x and give u.
-483
Express n**3 + 0*n**3 + 0*n**3 + (-n + 2*n + 0*n)*(-57*n**2 - 50*n**2 - 7*n**2) + n**2 - 2*n**3 - n**2 in the form u + v*n**2 + b*n**3 + r*n and give v.
0
Express -323 - 10*t + 5*t + 0*t + 0*t + 4*t as m + q*t and give q.
-1
Rearrange -25*c - 25*c + 46 + 81*c - 11*c to f + w*c and give w.
20
Express 96*d**2 + 2*d**4 - 249*d**2 - 15*d**3 + 155*d**2 - 6*d - 2 in the form c + v*d**2 + s*d**3 + g*d + m*d**4 and give c.
-2
Rearrange (-4 + 0 + 2)*(9117 - 9117 - 23*u**2)*(-35 + 16 - 6) to m*u**2 + p*u + k and give m.
-1150
Express 5*j - 4*j - 2*j + (2 + 2 - 2)*(0 + 0 - j) + 3 - 3*j - 3 + (10 - 140 - 18)*(2*j + 0 + 0) in the form m + k*j and give k.
-302
Rearrange -4*w**2 - 19*w - 72*w**2 + 146*w**2 to m*w**2 + j + d*w and give m.
70
Express f + 0*f + 41607 - 43770 - 3*f**2 in the form s*f + z*f**2 + a and give z.
-3
Express 1522 + 1520 + 4293*x - 3042 as o + c*x and give c.
4293
Express 69 + 70 + 9*w**2 + 339*w - 141 - 164*w in the form r*w + p*w**2 + q and give r.
175
Express 3 + 22 - 6 + 24743*d - 24668*d in the form r*d + j and give r.
75
Rearrange -239*m - 9*m**2 + 68*m**3 + 252*m + 10*m**2 to the form k*m + p*m**2 + n*m**3 + c and give n.
68
Express (-43 + 43 - 13*r)*(2524 - 2524 + 393*r) in the form i + f*r**2 + b*r and give f.
-5109
Rearrange -2*j**3 - 14*j**2 + 14*j**2 + 152 to the form t*j**2 + u*j**3 + h*j + g and give g.
152
Rearrange (-1109*l - 9110*l - 4374*l - 1476*l - 838*l)*(3 - l - 1 + 0*l) to n*l + a + s*l**2 and give n.
-33814
Rearrange (-q**3 - 3*q**3 + q**3)*(-5 + 2 + 1)*(-4 + 3 + 0) + 11838*q - 762*q**3 - 11838*q to the form u*q**3 + p*q**2 + s + o*q and give u.
-768
Rearrange -198707*y + 865*y**2 + 198707*y + 4*y**3 to the form s*y**2 + q*y + i*y**3 + b and give i.
4
Rearrange (-175*m - 297 + 297)*(1 - 11 - m + 8) to the form c + y*m + l*m**2 and give y.
350
Rearrange (-2 + 3 - 3)*(2*o + 3*o - 3*o + (-2*o + 2*o - o)*(-11 - 35 + 136))*(-2*o - 2*o + 12*o) to n + l*o + a*o**2 and give a.
1408
Express -129 - u + 76*u**3 + 8*u**4 - 4*u**2 + 2*u**2 + 69 - 67*u**3 + 62 in the form g*u**3 + b*u**2 + o + j*u + f*u**4 and give o.
2
Rearrange (2*p - 2 + 2)*(19542 - 19542 - 1041*p + (1 - 1 - 2)*(0*p - 2*p + 0*p)) to the form u*p + x + k*p**2 and give k.
-2074
Express -1254 + 2487 - 1232 + 46*g**2 in the form b*g**2 + v + o*g and give v.
1
Express 819*u**2 + 205*u**2 + 356*u**2 + 1033*u**2 as a*u**2 + y*u + k and give a.
2413
Rearrange p**2 + 75*p**3 + 3*p - 7 + 51 + 2 - 37*p**3 - 36*p**3 to v*p**3 + j*p**2 + z + x*p and give x.
3
Express (8 + 14 + 8)*(-1 + 0 - 1)*(-3 + 3 + 402*d - 1078*d - 599*d) in the form x + m*d and give m.
76500
Express 2247*o - 740*o - 743*o - 752*o + 200 in the form v + z*o and give z.
12
Rearrange (-4545 + 8396 + 1715)*(10*m - 10*m + 9*m**2) to t*m + u*m**2 + k and give u.
50094
Rearrange -254 + m**3 - 113*m + 23*m**2 + 251 + 113*m to the form b*m + s + p*m**2 + a*m**3 and give a.
1
Express (-c - c - c)*(20 + 18 - 15)*(-4 - 9 - 6) as x + u*c and give u.
1311
Express 2337 - 588 + 1052*b - 580 - 585 - 579 as m*b + p and give p.
5
Express -8*o**3 - 176504*o**4 + 4*o + 176491*o**4 + 11*o**3 - 6*o**2 in the form g*o**2 + b*o**4 + u + v*o**3 + s*o and give g.
-6
Express 34 + 44*c + 50*c - 15*c in the form p + i*c and give p.
34
Rearrange -6*n + 15046*n**2 - 15044*n**2 + 7*n + 119*n**3 to the form i*n**2 + u*n + k*n**3 + r and give i.
2
Rearrange 217*y + 15*y**2 + 3 - 10*y**2 - 3 - 177*y to g + s*y + h*y**2 and give h.
5
Rearrange -17788*c + 1039*c - 7310*c to g*c + s and give g.
-24059
Express (-581 - 816 - 432)*(-7*y + 10*y - 12*y) as z*y + x and give z.
16461
Rearrange (13 - 11 - 3)*(4 - 4 - d)*(-253 - 312 - 195) to the form v*d + k and give v.
-760
Rearrange 25*i - 306 - 21*i - 209 + 856 + 832 to p*i + m and give p.
4
Rearrange 4 - 7*f**2 + 4*f - 4*f**2 - 18 - 2*f + 13*f**2 to r*f + c + l*f**2 and give r.
2
Express (6302 + 8827 - 4847)*(6*i + 0*i - 3*i) + (-2 + 6 - 2)*(-3 + 3 - i) as g*i + f and give g.
30844
Rearrange 42*x**3 - 683*x**3 - 7917284 + 2*x**2 - 2*x + 7917284 to r*x**2 + s*x**3 + c + l*x and give r.
2
Rearrange (-4*k - 5 + 5)*(-111*k**2 + 7*k**3 + 228*k**2 - 116*k**2) to m*k**4 + d*k + n*k**2 + t + y*k**3 and give m.
-28
Rearrange 2*u**2 + u**4 + 11 + 2*u + 1 - 11 + 0 - 4*u**3 to l + x*u + y*u**4 + v*u**2 + z*u**3 and give l.
1
Express (5 - 4 + 5)*(-2 + 2 - 2*g) + 15*g + 260 + 27*g - 37*g as u + c*g and give c.
-7
Rearrange 2*s + 111 + 567 + 1501 to v*s + l and give l.
2179
Rearrange o - 2*o - 25 + 37 + (-10*o + 37*o + 82*o)*(0 - 4 + 1) to q + g*o and give g.
-328
Rearrange -2*j**3 - j**3 + j**3 + (1 + 2*j - 1)*(25*j**2 - 31*j**2 - 40*j**2) + 3*j**3 - 6*j**3 + j**3 to the form w*j**2 + a*j + q*j**3 + c and give q.
-96
Express 3*n**2 - 36*n**3 + 15*n**4 - 51*n**3 - 47*n**3 - 2*n - 1 + 133*n**3 in the form i*n**3 + x + k*n + g*n**2 + r*n**4 and give g.
3
Express -116*v**2 + 23 - 20*v - 23 - 4*v**2 as z*v + r + y*v**2 and give z.
-20
Express 2 + 8*y - 6*y + 6000*y**2 - 485*y**2 - 2180*y**2 + 8154*y**2 as h*y**2 + b*y + r and give r.
2
Express ((-5 + 3 + 1)*(2*s - 6 + 6) + 2 - s - 2 - 3*s - 2*s + 2*s)*(16 - 1046*s + 524*s + 46 + 506*s) in the form c*s**2 + b*s + v and give b.
-372
Rearrange (3154 - 3119 + 0*v**2 + 23*v - 2*v**2)*(2 - 2*v + 2*v + 2*v) to the form u*v + y*v**3 + s + i*v**2 and give i.
42
Rearrange 101 + 61 - 345*j + 339*j - 33 to the form f*j + b and give b.
129
Express 2077*d - 5112*d + 10727*d in the form k + i*d and give i.
7692
Express (-3*p + 3*p + 2*p)*(0*p**2 + 2*p**2 + 0*p**2) + (-35*p - 32 + 52 - 23)*(-p**2 - 2*p**2 + 2*p**2) in the form o*p**2 + v*p + z*p**3 + j and give o.
3
Rearrange -160991*c - 5 - 8*c**2 + 160991*c to the form t*c + g + y*c**2 and give y.
-8
Express (-6 - 3 + 3)*(5*o - 10 + 10) + (4 - 2 - 1)*(0*o + 11*o - 3*o) in the form z + d*o and give d.
-22
Rearrange 11 - 111 - 584*a**4 + 2*a**2 + 99 to k*a + c*a**4 + u + p*a**3 + v*a**2 and give u.
-1
Express 244 + 3586*p**2 - 5*p**3 - 3584*p**2 - 118 in the form g*p**2 + u + o*p**3 + b*p and give o.
-5
Rearrange -6695*m**2 + 0 + 33572*m + 0 - 33572*m to the form i*m**2 + w + g*m and give i.
-6695
Rearrange (-6*c - 6*c + 4*c)*(-1677*c**2 + 1333 - 668 - 665) to the form q + s*c**3 + x*c**2 + u*c and give s.
13416
Express (2 + 0 + 0)*(u - u - u)*(-482*u**2 - 1281*u**2 + 238*u**2) as w*u**3 + l + t*u**2 + v*u and give w.
3050
Rearrange (-6 + 4 - 3)*(3*k + 5*k - 322 - 6*k) to the form w + y*k and give w.
1610
Express (7250 + 9459 + 13388)*(r**2 - 2*r**2 + 2*r**2)*(-2*r + r - r) as j + a*r + y*r**3 + w*r**2 and give y.
-60194
Rearrange 277 - 382 - 34*b**2 - 2*b + 291 to z*b + s + v*b**2 and give z.
-2
Rearrange 2*s**2 - 2*s**2 + 2*s**2 + 238 + 2628*s**3 - 238 to i*s + w*s**3 + j*s**2 + h and give j.
2
Express 1067*l**2 - 664*l**4 - 2*l + 2 + 101*l**4 - 2*l**3 - 1069*l**2 as q*l**3 + h*l**2 + r*l + i*l**4 + w and give r.
-2
Rearrange -55*d**2 + 3*d**3 - 27*d**2 + 77*d**2 + 40*d - 2*d**3 to q*d**3 + u + n*d**2 + b*d and give b.
40
Express 168 + 290 + 196614637*x - 196614638*x in the form m*x + y and give m.
-1
Rearrange ((1 + 5 - 1)*(-28*j + 2 - 2) + (1 - 2 + 3)*(8 + 2*j - 8))*(-5*j + j - j) - 2*j**2 + 0*j**2 + j**2 to t + k*j + y*j**2 and give y.
679
Rearrange (0 - 1 + 2)*(3*p + p - 2*p)*(10119 + 38994 - 4996 - 4377 + 63020) to t*p + u and give t.
205520
Rearrange (2*t - 2*t + 2*t)*(6*t**3 - 2 + 2) - 1 - 552*t**4 + 2*t**3 + 61*t + 279*t**4 + 271*t**4 to the form j*t**4 + y*t + k*t**2 + b + v*t**3 and give v.
2
Express (266*h + 6*h + 119*h)*(19*h**2 + 0*h**2 + 2*h**2) in the form r*h + t*h**2 + l + v*h**3 and give v.
8211
Rearrange (105*q + 181*q - 79*q + 64*q)*(-q**2 - 2*q**3 - 7*q**2 + 4*q**3) to the form s*q**2 + y*q**3 + l*q**4 + j + u*q and give y.
-2168
Express (3 - 1 + 14)*(22 - 54 - 114)*(0 + 2*b + 0) as q + j*b and give j.
-4672
Rearrange 14*k - 13*k + 34*k**2 - 403 + 402 to s + t*k + r*k**2 and give t.
1
Express 6 + 2223*m**2 - 6 + 8924*m**2 in the form c*m**2 + q*m + f and give c.
11147
Rearrange 7*z - 3 + z**3 - 1 + 1567432*z**2 - 1567431*z**2 - 7*z**4 to the form d*z**3 + k*z**4 + n + y*z + w*z**2 and give w.
1
Express t**2 + 94 + 85 + 3*t**3 + t - 52 + 0*t in the form y*t + a*t**2 + i + u*t**3 and give u.
3
Rearrange 31*f**3 - 6*f + 11*f**3 + 14*f**2 - 38*f**3 | {
"pile_set_name": "DM Mathematics"
} |
range 4 + 3 - 15*l + 12*l to s*l + v and give s.
-3
Express (-3*u + 7*u**2 + 3*u + (-5*u + 3*u + 5*u)*(u + 0*u + u))*(1 + 4 - 4)*(2 - 8 + 2) in the form k*u**2 + b + j*u and give k.
-52
Rearrange (g - 2*g**2 - g)*(-3*g - 2*g + 3*g)*(-7*g - 3*g - g) to i*g**2 + j + l*g**4 + f*g**3 + w*g and give l.
-44
Express 23*i**2 - 62 + 63 + i + 0*i in the form v*i + h*i**2 + q and give h.
23
Express -5*m**4 + 2*m**2 + 2*m**4 - 3*m + 4*m as l*m**4 + f*m**2 + t*m + n*m**3 + j and give f.
2
Express -2*t - t + 0*t - 3*t - t + 2*t + (1 + 1 + 1)*(1 + 2*t - 1) as l + g*t and give g.
1
Rearrange (0 + 1 + 1)*(2*r - 4*r + 2 + 0*r) + (-5 + 5 - 4*r)*(-1 - 2 + 5) to the form q + m*r and give m.
-12
Rearrange -4*q**2 + 4*q - 15*q**2 - 3*q to the form x*q**2 + i + l*q and give l.
1
Express 35 - 7*n - 35 in the form j*n + l and give j.
-7
Express -2*h**2 - 2*h**4 + 0*h**4 + 5*h**2 + 2*h**3 - h**2 + h as i*h**4 + t*h**3 + p + g*h**2 + q*h and give g.
2
Rearrange 22 + 2*w**3 - 4*w - 20 + 2*w to the form n*w + a*w**2 + g + s*w**3 and give g.
2
Express (-3*b - 2*b**2 + 3*b)*(-1 + 1 - 2) + (3 - 3 + 1)*(2 + 2*b**2 - 2) in the form r + n*b**2 + c*b and give n.
6
Rearrange 27*r**3 - 3*r**2 - r**2 + 6*r**2 - r**2 to the form u*r**2 + p*r + n*r**3 + j and give u.
1
Rearrange (-2 + 2 + 3)*(5*m - 1 + 1 + (0 - 5 + 3)*(2*m - 3*m - m)) to the form y + z*m and give z.
27
Rearrange -6*i**2 + 3*i**2 - 5*i**2 + 4*i**2 to d*i + g + j*i**2 and give j.
-4
Rearrange -2*s**2 - s**3 - 5*s + 0*s + 10*s - 2 + s**2 to the form k*s**2 + i*s**3 + h + v*s and give v.
5
Express (-4*y**2 + 5*y**3 + y**2 + 0*y**2)*(3 - 2 - 3) in the form f*y + n*y**2 + t*y**3 + w and give n.
6
Rearrange -9 + 4*f + f + 9 to the form b*f + s and give b.
5
Express 11*b - 21*b - 7*b - 2*b as d + m*b and give m.
-19
Rearrange (-t**3 - 6 + 3*t**4 + 6)*((1 + 0 + 1)*(0 - 2 + 3) + 2 - 4 + 1) to the form l*t**4 + i*t + k*t**3 + r*t**2 + z and give l.
3
Rearrange -f**3 + 0*f + 2*f**4 + 29 - 32 + 2*f to the form b*f**2 + w*f**4 + l*f**3 + n*f + c and give w.
2
Express (0 + 1 - 2)*(-7*y - 2*y + 4*y) + (-26 + 26 - 11*y)*(1 + 0 + 0) as l + j*y and give j.
-6
Express 2*b**4 + 2*b + 319*b**2 - 1 - 319*b**2 as k*b**3 + c*b + h*b**4 + m + u*b**2 and give h.
2
Express 4 + 5*i**2 - 7 + 5 in the form x + g*i**2 + u*i and give g.
5
Express -2*n + n**2 + 26 + 2*n**4 - n**3 + 2*n**3 - 26 as g*n**4 + l*n + a*n**2 + z*n**3 + y and give y.
0
Express (2*d + d + 0*d)*(1 - d - 1 + (3 - 2 - 3)*(-5*d - d + 3*d)) in the form q*d + t + v*d**2 and give v.
15
Express (-376*d**3 + 5 - 2 + 3*d + 381*d**3)*(4*d - 6*d + 4*d) in the form c*d**2 + w*d**3 + y*d + k*d**4 + l and give y.
6
Express -2*w**3 + 4*w + w - 8 - 5*w + 2*w**2 - w as u + h*w + s*w**3 + z*w**2 and give s.
-2
Express 21 + 11*s**3 + 2*s**2 - 20 + 6*s**3 in the form j*s**2 + c*s + p + z*s**3 and give c.
0
Rearrange (-20*q - q + q)*(0*q + 0*q + 2*q**2) to g*q**3 + m*q + d + h*q**2 and give g.
-40
Rearrange n**3 - 1 - 1 + 29*n**2 - 35*n**2 to v*n + b*n**2 + s*n**3 + d and give d.
-2
Rearrange (-6*z**2 + 10*z**2 + 2*z**2 + 2)*(-5 + 7*z + 5) to the form j + k*z + v*z**3 + a*z**2 and give k.
14
Rearrange 8 + 10 - 29*m + 1 - 20 to the form h*m + s and give s.
-1
Express (m - 7*m + 4*m)*(-121 - 8 - 10) in the form l + c*m and give c.
278
Rearrange (26 + 34 + 23)*(r**2 + r**2 - 5*r**2) to the form s*r**2 + l + c*r and give s.
-249
Rearrange (x - x - x + (-2*x - 1 + 1)*(-1 - 1 + 1))*(8 - 8 + 9*x**3) to the form i*x + g + u*x**4 + h*x**2 + b*x**3 and give u.
9
Express (0 + 1 + 0)*(1 - 1 - u)*(-3 + 6 - 2)*(6*u**2 + 15*u**2 + 12*u**2) as n*u**2 + y*u + v*u**3 + t and give v.
-33
Rearrange -19*c + 8*c + 17*c + 24*c to the form d + i*c and give i.
30
Rearrange (3 - 2 + 2)*(-5*j**3 + 3*j**2 + 6*j - 6*j) to the form x*j**3 + v*j + c + q*j**2 and give x.
-15
Rearrange 4*l**2 - 13*l**2 + l**3 + 2 - 4 + 0*l**3 to w*l + z*l**3 + t + b*l**2 and give t.
-2
Express (-2*u + u + 0*u)*(-7 - 4*u + 4 + 1) as n*u + s*u**2 + y and give s.
4
Rearrange (-4*i**2 + 5*i**2 + 0*i**2)*(8 - 2 - 2) + 2 - 2 - 5*i**2 to n*i + k*i**2 + z and give n.
0
Rearrange (-3 - 3 + 4)*(10 + 40*z - 38*z - 3)*(2 - z - 2) to u*z**2 + s*z + y and give s.
14
Rearrange (-4 + 4*f + 4)*(7*f - 5*f + 7*f) to the form y*f**2 + x + i*f and give y.
36
Express (183 - 45*g - 183)*(0 + 0 - g)*(1 + 4 - 3) - 1 - 3*g**2 + 1 as u + c*g**2 + w*g and give c.
87
Express (-24 + 25 - 23)*(o - 2*o + 0*o) as c*o + n and give c.
22
Express -94*c - 56*c + 16*c + 2*c in the form y*c + q and give y.
-132
Rearrange 6 + i**3 + 2*i - 2*i**4 - 3*i + 2*i**2 + 8 - 7 to o*i**3 + y*i + m*i**2 + n + d*i**4 and give y.
-1
Express 2*v**2 + 16*v**3 + 2 - 3*v - 47*v**3 + 30*v**3 in the form q*v**2 + w*v + n + b*v**3 and give n.
2
Rearrange 4*x**2 - 8*x - x**3 + 5*x - 3*x**2 to the form b*x**2 + d + u*x**3 + r*x and give u.
-1
Rearrange l**2 + l**2 + 2*l**2 - 3*l - 2*l**2 to g + r*l**2 + i*l and give r.
2
Express -1 - 2*a**4 + 4*a**4 + 69*a - 61*a + 0 as g*a + b*a**4 + h + l*a**2 + z*a**3 and give h.
-1
Rearrange -2*m**3 + m**3 - m**3 + (-m**2 + 4*m**2 - 2*m**2)*(-4*m + 4*m - 2*m) - 13*m**3 + 15 - 15 to the form z*m**2 + o*m**3 + y + p*m and give z.
0
Express w**2 + w**2 - 3*w**2 + (0*w + w + 0*w)*(-w + 0 + 0) + (-9*w + 2*w + 0*w)*(-w - 4 + 4) as t*w**2 + h*w + j and give t.
5
Rearrange -1 - 5 + 6 + 4*l to f + a*l and give a.
4
Rearrange (1 - 1 - 1 + (0 - 5 + 2)*(-2 + 1 + 0) + 6 - 1 - 4 + 1 - 1 - 1)*(5*v**2 - 4*v**2 - 23*v - 2*v**2) to the form h*v**2 + d*v + c and give h.
-2
Express -m**2 + 2 - 2 + (2*m**2 + 3*m**2 - 3*m**2)*(0 - 1 - 1) + 8*m**2 - 4*m**2 - m**2 in the form q*m**2 + i + t*m and give q.
-2
Express -4*o - o - 2*o + 2*o as b + v*o and give v.
-5
Rearrange -v**2 + 2*v**3 + 2*v**2 - 2*v**4 + 0*v**2 to t*v**3 + k*v**4 + x*v + g*v**2 + d and give k.
-2
Express -z - 6*z + z + z as p*z + h and give p.
-5
Rearrange (2*z + z - 2*z)*(-2 + 4 - 1)*(-71*z - 22*z + 5*z) to the form i + x*z + l*z**2 and give l.
-88
Express (5*d**2 - 2*d + 2*d)*(4*d - 11 + 11) + 2*d**2 + d**3 - 2*d**2 as y*d + n*d**2 + s + w*d**3 and give w.
21
Rearrange (-50*x - 10 - 10 + 48*x)*(-2*x + x - 2*x) to v + m*x**2 + d*x and give m.
6
Express (-3*g + 0*g + 6*g + (1 - 6*g - 1)*(-3 - 1 + 6))*(2*g**3 + 0*g + 0*g) as s*g**4 + v + z*g**2 + i*g + o*g**3 and give s.
-18
Express 11 - 21*c - c**2 + 41*c - 12*c in the form j*c + o + y*c**2 and give o.
11
Express 532 + p**4 + 3*p**3 - 535 - p**3 in the form u*p**4 + y*p + c*p**2 + b + w*p**3 and give u.
1
Rearrange -4 - y - 7*y**4 + 4*y**3 + 2 - 100*y**2 + 97*y**2 to the form x*y + w*y**3 + z*y**2 + u + s*y**4 and give s.
-7
Express -2*u**3 + 26*u + 22*u - 34*u + 51*u as p*u**3 + t + s*u + h*u**2 and give s.
65
Rearrange (-1 + 1 + 3)*((-2*w**2 - 3*w**2 + 7*w**2)*(0 - 3 + 5) - 2 - w**2 + 2) to p*w**2 + l*w + t and give p.
9
Express 2*p - 3*p - p - 13*p**2 + 0*p in the form n + z*p**2 + m*p and give z.
-13
Express -23*p**2 + 2 + 5*p**4 + 6*p**2 - 4*p**4 + 14*p**2 + 3*p**3 in the form q*p + k*p**2 + t + g*p**4 + j*p**3 and give k.
-3
Rearrange (3*u**2 - u**2 + u**2)*(-4*u + 3*u + 2*u) + (1 - 1 - u)*(5 - 5 - 2*u**2) to the form q*u**3 + m + t*u + g*u**2 and give q.
5
Rearrange (w - 4*w + w)*(-1 + 5 - 2) + 18*w - 11*w - 14*w to y*w + g and give y.
-11
Rearrange (-7 + 5*p + 7)*(0*p + p + 2*p) + (-p - p + 3*p)*(-3*p + 2*p + 0*p) + 3*p**2 + p**2 - 2*p**2 to j + i*p**2 + s*p and give i.
16
Express 0 + 0 - 3*x + 28*x as h*x + q and give h.
25
Express -7*h**3 + 2*h**2 + 9*h**3 - 4*h**3 - 6 in the form l*h**2 + t + w*h + c*h**3 and give c.
-2
Rearrange (2 - d - 2)*(-6*d - 6*d + 20*d) - 5*d**2 + 4*d**2 + 2*d**2 to the form b*d + t + r*d**2 and give r.
-7
Rearrange (-5 + 2*h + 0*h + 31)*(5*h**2 - 4*h**2 + 0*h**2) to s*h**2 + a*h**3 + k*h + c and give s.
26
Express 12*u**4 + 10*u**3 - 16*u**4 + 6*u**4 + (4*u**2 + 3*u**2 - 5*u**2)*(1 - 1 - 2*u**2) as o*u**3 + s + p*u**4 + i*u**2 + t*u and give o.
10
Rearrange (-o + o + 3*o**2)*(2*o + 3*o + 33*o) to a*o**3 + g*o + k + j*o**2 and give a.
114
Express 15*n**3 - 5 + 7 - 3 as d*n**2 + p + x*n**3 + i*n and give x.
15
Rearrange -21*v + 18*v + 24*v to q + z*v and give z.
21
Rearrange 9*r - 6 - 9*r + 4 + 3*r**2 to w + n*r + v*r**2 and give v.
3
Rearrange (8*z**3 + z**3 + 3*z**3)*(1 + 0 - 2) to the form s*z + i + w*z**3 + y*z**2 and give i.
0
Rearr | {
"pile_set_name": "DM Mathematics"
} |
the z'th term of -1962, -3922, -5882?
-1960*z - 2
What is the w'th term of 12, 58, 134, 240, 376?
15*w**2 + w - 4
What is the i'th term of -10, -16, -36, -76, -142, -240, -376?
-i**3 - i**2 + 4*i - 12
What is the l'th term of -81, -172, -323, -534, -805, -1136, -1527?
-30*l**2 - l - 50
What is the j'th term of -352, -346, -336, -322, -304, -282?
2*j**2 - 354
What is the s'th term of 53, 55, 57, 59, 61, 63?
2*s + 51
What is the a'th term of -141, -143, -157, -189, -245, -331, -453, -617?
-a**3 + 5*a - 145
What is the t'th term of -41, 2, 125, 370, 779, 1394, 2257?
7*t**3 - 2*t**2 - 46
What is the a'th term of -9, 14, 63, 150, 287, 486, 759, 1118?
2*a**3 + a**2 + 6*a - 18
What is the h'th term of -194, -184, -176, -170, -166?
-h**2 + 13*h - 206
What is the h'th term of -1007, -1014, -1023, -1034?
-h**2 - 4*h - 1002
What is the j'th term of 789, 788, 787, 786, 785, 784?
-j + 790
What is the k'th term of -20, -9, 10, 37, 72, 115, 166?
4*k**2 - k - 23
What is the n'th term of -11, 2, 23, 52, 89, 134, 187?
4*n**2 + n - 16
What is the l'th term of 174, 343, 510, 675, 838, 999?
-l**2 + 172*l + 3
What is the m'th term of 6, -22, -76, -162, -286, -454, -672?
-m**3 - 7*m**2 + 14
What is the t'th term of 41, 69, 81, 77, 57, 21, -31?
-8*t**2 + 52*t - 3
What is the z'th term of 79, 198, 327, 472, 639, 834, 1063, 1332?
z**3 - z**2 + 115*z - 36
What is the z'th term of 18, 14, -14, -78, -190, -362, -606, -934?
-2*z**3 + 10*z + 10
What is the q'th term of -9, -4, -1, 0?
-q**2 + 8*q - 16
What is the p'th term of 39, 78, 117, 156, 195, 234?
39*p
What is the u'th term of 6, 13, 20, 27, 34?
7*u - 1
What is the v'th term of 27, 48, 67, 84, 99?
-v**2 + 24*v + 4
What is the c'th term of -97, -187, -275, -361, -445, -527?
c**2 - 93*c - 5
What is the t'th term of -30, -106, -232, -408, -634, -910, -1236?
-25*t**2 - t - 4
What is the a'th term of 9, 37, 121, 291, 577, 1009, 1617, 2431?
5*a**3 - 2*a**2 - a + 7
What is the m'th term of 43, 61, 91, 133, 187?
6*m**2 + 37
What is the k'th term of 29, 25, 21?
-4*k + 33
What is the z'th term of -21, -40, -57, -72?
z**2 - 22*z
What is the w'th term of -230, -228, -226?
2*w - 232
What is the d'th term of 515, 1062, 1607, 2150, 2691, 3230?
-d**2 + 550*d - 34
What is the x'th term of 5635, 5636, 5637, 5638, 5639?
x + 5634
What is the x'th term of -342, -686, -1030, -1374?
-344*x + 2
What is the j'th term of 291, 292, 305, 336, 391, 476, 597?
j**3 - 6*j + 296
What is the p'th term of -11, -16, -19, -20, -19, -16, -11?
p**2 - 8*p - 4
What is the q'th term of -2, -13, -36, -77, -142?
-q**3 - 4*q + 3
What is the m'th term of -83, -114, -149, -188, -231, -278, -329?
-2*m**2 - 25*m - 56
What is the h'th term of -21, -12, -1, 12, 27, 44?
h**2 + 6*h - 28
What is the u'th term of -16, -135, -334, -613, -972?
-40*u**2 + u + 23
What is the v'th term of 3, -85, -229, -429, -685, -997?
-28*v**2 - 4*v + 35
What is the w'th term of 22, 95, 216, 385?
24*w**2 + w - 3
What is the w'th term of 255, 480, 671, 828?
-17*w**2 + 276*w - 4
What is the a'th term of -24, -74, -122, -168, -212?
a**2 - 53*a + 28
What is the n'th term of -501, -499, -495, -489, -481?
n**2 - n - 501
What is the t'th term of 144, 108, 56, -18, -120, -256, -432?
-t**3 - 2*t**2 - 23*t + 170
What is the a'th term of 172, 173, 182, 205, 248, 317?
a**3 - 2*a**2 + 173
What is the u'th term of 530, 537, 564, 623, 726, 885, 1112, 1419?
2*u**3 - 2*u**2 - u + 531
What is the o'th term of 13, 43, 89, 151, 229, 323?
8*o**2 + 6*o - 1
What is the t'th term of -98, -197, -294, -389, -482?
t**2 - 102*t + 3
What is the b'th term of 17, 15, 17, 23, 33?
2*b**2 - 8*b + 23
What is the t'th term of 32, 37, 54, 89, 148, 237, 362, 529?
t**3 - 2*t + 33
What is the g'th term of 27, 64, 117, 192, 295, 432, 609, 832?
g**3 + 2*g**2 + 24*g
What is the f'th term of -48, -52, -56, -60, -64?
-4*f - 44
What is the k'th term of -7506, -7518, -7518, -7500, -7458, -7386, -7278, -7128?
k**3 - 19*k - 7488
What is the a'th term of -1212, -2423, -3634?
-1211*a - 1
What is the x'th term of 21, 48, 83, 120, 153?
-x**3 + 10*x**2 + 4*x + 8
What is the b'th term of 1143, 2280, 3419, 4560, 5703?
b**2 + 1134*b + 8
What is the k'th term of 1147, 2317, 3499, 4699, 5923, 7177, 8467?
k**3 + 1163*k - 17
What is the i'th term of -10, -25, -48, -79?
-4*i**2 - 3*i - 3
What is the n'th term of 26, 28, 28, 26?
-n**2 + 5*n + 22
What is the h'th term of 4257, 4247, 4239, 4233, 4229, 4227, 4227?
h**2 - 13*h + 4269
What is the c'th term of -35, -43, -65, -107, -175, -275?
-c**3 - c**2 + 2*c - 35
What is the u'th term of 207, 414, 621, 828?
207*u
What is the u'th term of 40, 63, 86, 109?
23*u + 17
What is the w'th term of -19, -34, -53, -76, -103, -134, -169?
-2*w**2 - 9*w - 8
What is the a'th term of -4, -15, -26, -37, -48, -59?
-11*a + 7
What is the r'th term of 222, 139, 56, -27, -110?
-83*r + 305
What is the q'th term of -3, -17, -41, -75, -119?
-5*q**2 + q + 1
What is the x'th term of 48, 54, 60, 66?
6*x + 42
What is the x'th term of -5, -47, -135, -293, -545?
-4*x**3 + x**2 - 17*x + 15
What is the t'th term of 66, 113, 194, 315, 482?
t**3 + 11*t**2 + 7*t + 47
What is the x'th term of 117, 238, 361, 486?
x**2 + 118*x - 2
What is the i'th term of 100, 106, 116, 130, 148?
2*i**2 + 98
What is the f'th term of -41, -90, -127, -146, -141, -106, -35, 78?
f**3 - 56*f + 14
What is the k'th term of -1580, -1591, -1604, -1619, -1636, -1655?
-k**2 - 8*k - 1571
What is the a'th term of -11952, -11953, -11954, -11955?
-a - 11951
What is the o'th term of -1, 61, 127, 197, 271?
2*o**2 + 56*o - 59
What is the q'th term of 347, 1404, 3165, 5630?
352*q**2 + q - 6
What is the u'th term of -58, -63, -70, -79, -90?
-u**2 - 2*u - 55
What is the n'th term of -102, -88, -64, -30?
5*n**2 - n - 106
What is the b'th term of 136, 1000, 3340, 7894, 15400?
123*b**3 + 3*b + 10
What is the s'th term of -2098, -2099, -2100, -2101, -2102, -2103?
-s - 2097
What is the o'th term of 153, 233, 317, 405, 497?
2*o**2 + 74*o + 77
What is the l'th term of 96, 198, 300, 402?
102*l - 6
What is the r'th term of -15, -103, -309, -681, -1267, -2115, -3273?
-8*r**3 - 11*r**2 + r + 3
What is the h'th term of -4108, -16399, -36878, -65539, -102376, -147383?
h**3 - 4100*h**2 + 2*h - 11
What is the o'th term of 38, 42, 46, 50, 54?
4*o + 34
What is the p'th term of 132, 123, 120, 129, 156, 207, 288?
p**3 - 3*p**2 - 7*p + 141
What is the i'th term of 29, 163, 513, 1187, 2293, 3939?
18*i**3 + 8*i + 3
What is the h'th term of -2, -24, -76, -170, -318, -532, -824?
-2*h**3 - 3*h**2 + h + 2
What is the k'th term of -21, -47, -89, -153, -245, -371, -537?
-k**3 - 2*k**2 - 13*k - 5
What is the y'th term of 758, 747, 722, 677, 606?
-y**3 - y**2 - y + 761
What is the z'th term of -13, -2, 11, 26, 43?
z**2 + 8*z - 22
What is the b'th term of 674, 675, 676, 677, 678?
b + 673
What is the q'th term of -2577, -2579, -2581, -2583, -2585?
-2*q - 2575
What is the k'th term of 5, 88, 227, 422, 673, 980, 1343?
28*k**2 - k - 22
What is the p'th term of 611, 589, 555, 503, 427, 321?
-p**3 - 15*p + 627
What is the o'th term of -265, -1279, -2975, -5359, -8437, -12215?
-o**3 - 335*o**2 - 2*o + 73
What is the o'th term of 4, 3, 2, 1?
-o + 5
What is the a'th term of 428, 1708, 3840, 6824, 10660?
426*a**2 + 2*a
What is the j'th term of 37456, 74911, 112366?
37455*j + 1
What is the j'th term of 6, 22, 70, 168, 334, 586, 942?
3*j**3 - 2*j**2 + j + 4
What is the u'th term of 2312, 2313, 2316, 2321, 2328?
u**2 - 2*u + 2313
What is the g'th term of 756, 756, 760, 768, 780, 796?
2*g**2 - 6*g + 760
What is the y'th term of 58, 117, 176, 235, 294, 353?
59*y - 1
What is the i'th term of -664, -666, -668?
-2*i - 662
What is the n'th term of -142, -99, -26, 77, 210, 373, 566?
15*n**2 - 2*n - 155
What is the u'th term of 14, 37, 72, 125, 202, 309, 452?
u**3 + 16*u - 3
What is the q'th term of -43, -89, -135?
-46*q + 3
What is the x'th term of -56, -113, -170, -227, -284?
-57*x + 1
What is the p'th term of -510, -974, -1438, -1902?
-464*p - 46
What is the c'th term of -16, -102, -260, -502, -840?
-2*c**3 - 24*c**2 + 10
What is the g'th term of -11, 5, 25, 49, 77, 109, 145?
2*g**2 + 10*g - 23
What is the s'th term of 109, 75, 39, 1, -39, -81?
-s**2 - 31*s + 141
What is the l'th term of -212, -265, -368, -527, -748, -1037, - | {
"pile_set_name": "DM Mathematics"
} |
/20 - a**2/2 + 2*a - 16998. Let t(v) = -3*v**3 + 4. Calculate g*p(c) + 3*t(c).
3*c**3
Let s(l) = -3*l + 5. Let q(y) = 14*y + 74. Calculate -q(b) - 3*s(b).
-5*b - 89
Let n(d) = 14*d**3 + 2*d**2 - 3*d - 3. Let f(c) = -13*c**3 - 2*c**2 + 4*c + 4. Suppose 14*b - 66 = -24. What is b*f(x) + 4*n(x)?
17*x**3 + 2*x**2
Let z(w) = 5*w**3 - 1636*w**2 + 9*w. Let a(q) = -2*q**3 - 3*q. Determine 3*a(p) + z(p).
-p**3 - 1636*p**2
Let q(d) = 21*d. Suppose 4*c = 3*z - 57 + 68, 6*c - 15 = 3*z. Let f(k) = -1. Determine z*q(a) + f(a).
-21*a - 1
Let q(y) = 1451*y**3 + 11*y - 7. Let f(x) = -727*x**3 - 5*x + 3. What is 7*f(g) + 3*q(g)?
-736*g**3 - 2*g
Let r(p) = 2*p**2 - 6*p - 2. Suppose -52*w + 39*w = -26. Let l(j) = -4*j + 5*j - 62*j**2 + 61*j**w. What is 6*l(k) + r(k)?
-4*k**2 - 2
Suppose 6*m + 94 = 1054. Let o(s) = s - 81 + m + s**3 - 80. Let p(z) = -5*z**3 - 2*z**2 - 6*z + 4. Determine -6*o(f) - p(f).
-f**3 + 2*f**2 + 2
Let j(o) = o**2 + 1. Let y(m) = -6*m**2 - 2*m - 8. Let f(c) = -c**2 - c - 3. Let h(b) = 6*f(b) - 2*y(b). Give h(l) - j(l).
5*l**2 - 2*l - 3
Let z(r) = 7*r**2 + 2*r - 2534. Let n(u) = 22*u**2 + 7*u - 7681. Give 2*n(v) - 7*z(v).
-5*v**2 + 2376
Let j(b) = 11*b**3 - 7*b**2 - 36*b - 5. Let l(q) = 4*q**2 + 21*q - 18. Let g be l(1). Let f(u) = 5*u**3 - 3*u**2 - 18*u - 2. Calculate g*f(o) - 3*j(o).
2*o**3 - 18*o + 1
Let u(m) = 8*m**3 + 6*m**2 - 26*m + 40. Let f(h) = -h**2 + 4*h + 1. Determine -6*f(p) - u(p).
-8*p**3 + 2*p - 46
Let v(x) be the first derivative of -x**3/2 + 3*x**2/2 + 34*x - 66. Let u(l) be the first derivative of v(l). Let f(j) = -2*j + 3. Calculate 4*f(c) - 3*u(c).
c + 3
Let b(q) = 2108*q + 1. Let c(j) = -6*j. Calculate b(l) + 4*c(l).
2084*l + 1
Let p be ((-4)/16)/((-90)/(-720)). Let o(n) = n**3. Let d(x) = -10*x**3 + 1. Calculate p*d(h) - 18*o(h).
2*h**3 - 2
Suppose 0 = -33*k + 47 + 52. Let g(c) = c. Let z(i) = 4*i**2 - 10*i - 160 + 160. Give k*z(y) + 30*g(y).
12*y**2
Let r be (2/(-6) - (-28)/(-6)) + 56. Suppose -r*z = -49*z - 6. Let f(a) = 4*a + 7. Let x(p) = 7 + 2*p - 2 - 1. Calculate z*f(u) - 5*x(u).
2*u + 1
Let l(s) = 2*s**2 - 5*s + 662. Let w(v) = -v**2 + 2*v - 333. Determine 4*l(g) + 10*w(g).
-2*g**2 - 682
Let b(a) be the third derivative of -a**6/40 + a**5/10 - a**4/4 + 5*a**3/6 + a**2 - 209*a. Let d(u) = 5*u**3 - 11*u**2 + 11*u - 9. Determine -11*b(q) - 6*d(q).
3*q**3 - 1
Let j(m) = -6*m + 6. Let l(i) = 12*i - 13. Let t(h) = h**3 + 53*h**2 + 2*h + 103. Let g be t(-53). Calculate g*l(o) - 7*j(o).
6*o - 3
Let z(b) = -100*b + 21. Let j(q) = q**2 - 208*q + 41. What is 2*j(d) - 5*z(d)?
2*d**2 + 84*d - 23
Let m(h) = -h**2 + 1. Suppose -u + 0 = 3. Let f(k) = -3 - 6*k**2 - 6 + 4*k**2 + 0*k**2 - 7 + 21. Calculate u*m(p) + f(p).
p**2 + 2
Let v be (2/8*-1)/(715/52 - 14). Let f(z) = -2*z - 6. Let x(t) = t**2 - t + 1. What is v*f(i) - 2*x(i)?
-2*i**2 - 8
Let p(v) = v + 27 - 96 + 21 + 24 + 25. Let k(f) = -3*f**3 - 2*f**2 + 3*f + 11. Calculate k(o) - 3*p(o).
-3*o**3 - 2*o**2 + 8
Let v(w) = 88*w**2 - 8*w - 433. Let c(u) = -23*u**2 + 2*u + 108. Give -23*c(s) - 6*v(s).
s**2 + 2*s + 114
Let g(s) = s - 1. Let d = 1844 + -1848. Let y(q) = 12*q**2 + q - 1. Calculate d*y(n) + 4*g(n).
-48*n**2
Let l(u) = 12. Let z(a) = -538*a**2 - 109. Give 18*l(x) + 2*z(x).
-1076*x**2 - 2
Let j(g) = -2*g**2 - 2*g + 1. Let v(o) = 2*o**2 - 30*o - 151. What is 2*j(b) + v(b)?
-2*b**2 - 34*b - 149
Let g(d) = -d**2 - d + 1. Let c = 37 - 21. Let r = -8 + c. Let h(z) = z - 2. Let q be h(r). Let b(v) = 3*v**2 + 2*v - 2. What is q*g(n) + 3*b(n)?
3*n**2
Let w(l) = -189*l - 7. Let b(g) = -g + 3. Let n(r) = -7*b(r) + w(r). Let t(q) = -33*q - 5. What is 5*n(k) - 28*t(k)?
14*k
Let m(v) = 20*v + 4. Let g(d) = -40 - 87 - 7*d + 209 - 83. Calculate -17*g(p) - 6*m(p).
-p - 7
Let a(w) = 2*w**2 + 4*w - 1. Suppose 2*q = 3*v, 5*q - v + 2*v = 51. Let h(r) = 7*r**2 + 17*r - 5. What is q*a(b) - 2*h(b)?
4*b**2 + 2*b + 1
Let f(c) = -6*c**2 + 116*c - 1196. Let s(h) = -8*h**2 + 151*h - 1595. Determine -13*f(m) + 10*s(m).
-2*m**2 + 2*m - 402
Let f(b) = -15*b + 229. Let a(h) = 7*h - 108. What is -13*a(x) - 6*f(x)?
-x + 30
Let r(s) = 332*s - 15. Let g(f) = -112*f + 5. Calculate -7*g(k) - 2*r(k).
120*k - 5
Let g(n) = -83*n**2 - 5*n + 5. Let b(y) = -208*y**2 - 13*y + 13. Let s(q) = -9*q**2 + 25*q - 7. Let i be s(3). Calculate i*g(w) + 5*b(w).
39*w**2
Let p(d) = 8*d**2 - 6*d + 67. Let j(f) = 3*f**2 - 2*f + 22. What is 13*j(k) - 4*p(k)?
7*k**2 - 2*k + 18
Let n(x) = 3*x - 9*x + 7*x - 1. Let m(a) = 3*a**2 - 11*a + a + 8 - 5*a + 5*a. Let r(g) = -2*m(g) - 18*n(g). Let f(u) = -u**2. Determine 5*f(w) - r(w).
w**2 - 2*w - 2
Let r(u) = -u**2. Let f(o) = -7 - 99*o**2 - 8 + 92*o**2 + 5. Let v(z) = -f(z) + 5*r(z). Let a(b) = b**2 + 4. What is -12*a(c) + 5*v(c)?
-2*c**2 + 2
Let c(g) = 2675*g**2 - 2*g. Let l(h) = -644667*h**2 + 483*h. Determine 483*c(a) + 2*l(a).
2691*a**2
Let r(m) = 27*m**3 - 4*m**2 + 8*m + 6. Let n(o) = 2*o + 2. Give 5*n(x) - r(x).
-27*x**3 + 4*x**2 + 2*x + 4
Let c be (7 - 5)*(-3)/6. Let b(x) = -x**3 - x**2 + 1. Let z(k) = 24*k + 3*k**2 - 23*k - 2 + 1 + 2*k**3. Determine c*z(f) - 3*b(f).
f**3 - f - 2
Let c(i) be the third derivative of -7*i**6/120 + 3*i**5/20 + 5*i**4/24 + 2*i**3/3 - 4852*i**2. Let f(g) = -g**3 + g + 1. Determine -c(a) + 5*f(a).
2*a**3 - 9*a**2 + 1
Let t(j) = -3*j**2 + 2*j + 1. Suppose 17*o = 135*o + 7*o + 375. Let a(q) = -q**2. What is o*a(y) - t(y)?
6*y**2 - 2*y - 1
Let j(t) = -9*t**2 - 12*t - 7. Let o(m) = -8*m**2 - 11*m - 6. Let n = -217 - -221. Suppose 70 = 14*i - n*i. What is i*o(a) - 6*j(a)?
-2*a**2 - 5*a
Let n(w) = -18*w + 753. Let m(x) = 12*x - 504. Calculate -8*m(t) - 5*n(t).
-6*t + 267
Let j(f) = f**2 - f - 1. Suppose -4*r + 3 = 19. Let k = 74 - 71. Let d(h) = -5 + k - 13*h**2 - 12*h**2 - 2*h + 30*h**2. What is r*j(t) + d(t)?
t**2 + 2*t + 2
Let i(f) = -11*f - 125. Let p(z) = -3*z + 6. What is i(w) - 2*p(w)?
-5*w - 137
Let y(j) = 18*j**3 + 3*j**2 + 22*j + 15. Let i(g) = -5*g**3 - g**2 + g - 2. What is -3*i(h) - y(h)?
-3*h**3 - 25*h - 9
Let x(i) = 16 - 6 - 9 - 9 + 7. Let y(f) = -f**3 - 6*f**2 - 7*f - 1. Let a be y(-5). Let r(z) = z - 2. Give a*x(k) - 4*r(k).
-4*k - 1
Let z(y) = -46*y**3 - 6*y**2 - 3*y - 20. Let f(q) = 138*q**3 + 16*q**2 + 8*q + 62. What is -3*f(l) - 8*z(l)?
-46*l**3 - 26
Let n(y) be the third derivative of -y**5/60 - y**4/6 + 11*y**3/6 - 2780*y**2. Let z(k) = -k**2 - 3*k + 11. Give 5*n(v) - 6*z(v).
v**2 - 2*v - 11
Let y(s) = s**2. Let h be 24*((-3)/(-6) + 0). Suppose 2*t + h = 4*t. Suppose -7*w + 8*w = -t. Let z(d) = -4*d**2 - d - 2. Calculate w*y(i) - z(i).
-2*i**2 + i + 2
Let u(w) = w**2 + 12*w - 2. Let z = -4657 + 4652. Let d(n) = 2*n**2 + 24*n - 4. What is z*u(m) + 3*d(m)?
m**2 + 12*m - 2
Let l(i) = -6*i - 7. Suppose 134*u = 137*u - 9, -3*v + 5*u - 9 = 0. Let n(c) = -5*c - 7. Determine v*l(p) - 3*n(p).
3*p + 7
Let a(t) = 7802*t + 5*t**2 + t**2 - 1 - 3*t**2 - 7794*t. Let g(x) = -2*x**2 - 4*x + 1. Calculate 3*a(d) + 5*g(d).
-d**2 + 4*d + 2
Let g(k) = 5309*k + 246. Let w(a) = -5311*a - 197. Give -4*g(c) - 5*w(c).
5319*c + 1
Let v(o) = -12*o**2 + 5*o + 5. Let t(k) = 119*k**2 - 49*k - 49. Let l be (-1 + 3 + -3)/((-1)/(-3)). Let a be 6/5*-41 - l/15. Give a*v(s) - 5*t(s).
-7*s**2
Let z(w) be the second derivative of 49*w**5/20 + w**4/6 + w**3/3 + 7751*w. Let b(i) = 49*i**3 + 3*i**2 + 3*i. What is -2*b(a) + 3*z(a)?
49*a**3
Let u(n) = -11*n**2 + 4*n - 1. Let t(r) = 3*r**2 + 17*r - 1. Let g(c) = 2*t(c) + u(c). Let i(f) = -14*f**2 + 115*f - 8. What is -11*g(k) + 4*i(k)?
-k**2 + 42*k + 1
Let f(n) = 363*n - 362*n + 0 + 0. Let d(t) = t**2 - 2*t - 173. Let g be d(14). Let u(l) = -2*l + 1. Calculate g*f(q) - 2*u(q).
-q - 2
Let z(g) = g. Let b be 9/27 - (-16)/(-12). Let l(n) = -16*n - 7. Let j(s) = 34*s + 15. Let r(f) = -6*j(f) - 13*l(f). Calculate b*r(u) + 5*z(u).
u - 1
Let j(w) = -17183*w**3 - 15*w - 15. Let b(z) = -326469*z**3 - 286*z - 286. Calculate -15*b(f) + 286*j(f).
-17303*f**3
Suppose -5*k + a + 31 = 0, -2*a - 125 + 126 = -k. Let z(g) = 9*g**2 + 7*g + 8. Let m(x) = -6*x**2 - 5*x - 5. Determine k*m(o) + 5*z(o).
3*o**2 + 5
Let c(g) = -25*g**2 + 7*g + 112. Let m(r) = 30*r**2 - 9*r - 113. Calculate 5*c(i) + 4*m(i).
-5*i**2 - i + 108
Let h(t) = 156*t**2 + 8*t + 160. Let n(u) = -104*u**2 - 5*u - 114. What is 5*h(c) + 7*n(c)?
52*c**2 + 5*c + 2
Suppose 5*r = 11*r | {
"pile_set_name": "DM Mathematics"
} |
g, -36*g + 35*g = 0. Which is the closest to -1/8? (a) -1/2 (b) w (c) l
b
Let y = 996.3 + -996. Which is the nearest to 4/3? (a) y (b) -5 (c) 1/4
a
Let j = 840 - 530. Let q = 2483/8 - j. Which is the nearest to q? (a) -1/5 (b) -1 (c) -0.5
a
Let m = -4285/11 - -389. Let k = m - -13/44. What is the closest to k in -0.4, 0, -2/7?
-2/7
Let u = -151 - -150.665. Let b = 0.065 - u. What is the closest to -7 in b, 5, 3?
b
Let l = 0.297 + 0.203. Which is the closest to 0? (a) l (b) 1/6 (c) -4/31
c
Let g = 0.71 + -0.71. Which is the nearest to g? (a) 0.6 (b) 7 (c) 2/9
c
Let j = 0.92 - 2.92. Which is the closest to 2? (a) j (b) 1 (c) -5 (d) -1/11
b
Let t be (-1)/(-5)*(-90)/(-54). Let m(n) = -n + 12. Let g be m(4). Which is the closest to g? (a) t (b) 2/7 (c) -0.2
a
Let p = 10 - -2. Let o = -19 - p. Let d = -30.9 - o. Which is the closest to d? (a) -1/2 (b) -1/3 (c) -0.02
c
Let l = 47 + 37. Let x = -85 + l. Which is the closest to x? (a) 4 (b) 3/11 (c) 0.2
c
Suppose 74*d - 70*d - 12 = 0. What is the closest to -0.2 in d, -1/5, 1/22?
-1/5
Let d = 0.98 - 1.88. Let m = 3.9 + d. Which is the nearest to m? (a) -2/7 (b) 0.3 (c) 5
c
Let s = -0.08 - -0.18. Let y = -13/22 - -87/110. What is the closest to y in -0.4, -0.1, s?
s
Let r = 664 + -660.23. Let v = 0.23 + r. Let i be 2/(-7)*(-5)/(-10). Which is the nearest to 2? (a) v (b) 0.2 (c) i
b
Let i be 1*(3 + 66/(-21)). Suppose 8*g + 62 = 70. What is the nearest to g in 1, -4, i?
1
Let k = 24 + -15. Let h be (-6)/92*12/k. Which is the nearest to 1/2? (a) -2/7 (b) h (c) 2
b
Let v = -504 - -535.7. Let a = 32 - v. What is the closest to 2 in a, 3, 0.4?
3
Let l = -256.1 - -256. Let u = 32 - 32.24. Which is the nearest to l? (a) u (b) 0.5 (c) 0.2
a
Let w be (-8)/58 + 0/(-4). Let k = w + 49/145. Let g = -0.3 - -0.2. Which is the closest to 0.1? (a) g (b) k (c) -3
b
Let d = 0.0694 - -0.0306. Which is the closest to d? (a) 3 (b) 24 (c) 0.1
c
Let q be (2 + -1)*(-5 - 10). Let h be 21 + -20 - q/(-13). What is the nearest to 0.1 in h, 1, 0.5?
h
Let u = -473/5 - -951/10. Let m = -0.08 - 0.12. Which is the closest to m? (a) u (b) -4/9 (c) -5
b
Suppose 2*k + 7 + 7 = 3*p, -5*p = -k - 28. What is the closest to 2/3 in 4, p, 0.3, 1?
1
Let r = -27 + 26.7. Suppose -5*c + 5 = -10. Suppose -2*j - 5*s + 13 = 0, c*j - s - 8 = 3*s. What is the nearest to -2 in j, -0.01, r?
r
Let s = -1.92 - -1. Let o = 1.12 + s. Let w = 3 + -4. Which is the closest to o? (a) w (b) -0.2 (c) -0.5
b
Let n be 1/10*-2 - 251/(-5). Let l be (-5)/(-6)*(-4)/n*2. Which is the closest to 0? (a) -0.5 (b) 3/2 (c) l
c
Suppose v - 6*v = 2*l, 3*l = 0. Let o be 1*(-2 + 0 + -2 + v). Which is the closest to o? (a) 2 (b) -2 (c) -2/3
b
Let u be 3/2*4 - 43/7. Which is the closest to -4/3? (a) u (b) -5 (c) 4 (d) 0
a
Let l = -5.1 + -0.9. Let p = l + 5.5. What is the closest to -0.2 in p, -0.2, 1/5?
-0.2
Let m = 565/72 - 61/8. What is the closest to 0.05 in 3/2, 14, m?
m
Let y = -30.44 + 30. Let j = y - 1.56. Which is the nearest to 1? (a) 8 (b) j (c) 2
c
Let l be 0/1 + (-6)/(-14). What is the nearest to -1 in l, -6, -3?
l
Let j(z) = -z**3 + 2*z**2 + 4*z - 2. Let h be j(3). Suppose 0 = -q + 2*o + 8, 5*o - 5 = -4*q + 4*o. Which is the nearest to 2/3? (a) 4 (b) h (c) q
b
Let f be 6/45 - 184/30. Let p be (f/(-15))/((-32)/(-10)). Let t(q) = q - 5. Let d be t(6). Which is the nearest to -0.1? (a) 0.5 (b) p (c) d
b
Let v = -5 - -4.94. Let f = 1562.5 - 1563. Which is the closest to -1? (a) -1/3 (b) v (c) f
c
Suppose -135 = -14*d + 5*d. Suppose -5*y + 5 = -d. Which is the closest to 0? (a) 0.5 (b) 5 (c) y
a
Let q = 18/13 + -409/286. Let u = q + 27/110. Let l = -0.9 + 0.6. Which is the closest to 0? (a) -1 (b) l (c) u
c
Let s = 1 + 0. Let x be (-21)/(-18)*576/(-896). Which is the nearest to s? (a) 2/21 (b) x (c) 0.06
a
Let q be (126/33)/14 + (-174)/33. Which is the closest to -1/2? (a) 0.5 (b) q (c) -2
a
Let r be (-3)/4 - (-2)/4. Let q be 2 + 3/3 - -8. Suppose -4*v - 15 = t, 3*v + q = v + 3*t. What is the nearest to 0 in v, r, 0.1?
0.1
Suppose 0 = -k + 3*k - 5*x - 27, -x = 5*k - 27. Let z = 17 - 14. What is the closest to 1/2 in -0.2, k, z?
-0.2
Let x = -15.5 + 15.3. Which is the closest to -0.1? (a) -6/7 (b) 1/2 (c) x
c
Suppose 2*q - 4 - 2 = 0. Let h be 2/3 + 320/(-390). What is the nearest to -0.1 in 1/3, q, h?
h
Let k = -181/450 + 9/50. Let x = -0.4 - -0.5. Let p = 0.3 + -0.5. Which is the closest to p? (a) k (b) -1 (c) x
a
Let p be 2/((-70)/(-20) + -3). Let m = 246337/85 - 2898. Let n = -2/17 - m. Which is the closest to n? (a) -2/11 (b) p (c) 0.3
a
Let h = -111 + 111.047. Let s = 1.047 - h. Let p = -3 + 3.2. Which is the closest to s? (a) 0 (b) p (c) 0.5
c
Let s = -380.8 + 381. Which is the nearest to s? (a) 4 (b) -0.5 (c) 0.01 (d) -0.04
c
Let m = 2 + 0. Let n = 19715.7 - 19716. What is the closest to -0.06 in n, m, -2/9?
-2/9
Suppose 5*r + 2*c + 5 = 2*r, c = -1. Let d = -14.4 - -18. Let z = -0.6 + d. What is the closest to r in z, 2/11, -3?
2/11
Let f = 1/534 - -529/2670. Which is the nearest to 2/69? (a) 0.4 (b) 2/3 (c) f
c
Let k(w) = w**2 - 5*w - 5. Let i be k(6). Let q be (-11)/22*(0 - 0). Let f = -17 - -50/3. Which is the closest to f? (a) q (b) i (c) 4
a
Let y be (12*(-10)/40)/4. Let i = -0.8 + 0.3. Which is the nearest to 1? (a) i (b) y (c) -3
a
Let h = 45/76 + -16/19. Which is the closest to -0.007? (a) 1/12 (b) -2/13 (c) h
a
Let j be -23 - -22 - (-14)/12. Let o = 737/321 + 4/107. Which is the nearest to -1? (a) 1 (b) o (c) j
c
Let h = 702 - 707. What is the nearest to h in 0.04, 3, 0.02?
0.02
Let z be 84/(-14) + 6 + -1. What is the nearest to 2 in 1/193, z, 0.5?
0.5
Let g = -0.7503 - 0.2497. Let p = 1 + 0. Let i be 0 + 1/(p/1). What is the closest to 1 in -0.2, g, i?
i
Let x = -0.212 - 57.188. Let z = -57 - x. Which is the nearest to 0.3? (a) z (b) 3 (c) 1/2
a
Let y = 22.6 - 23. Let x be ((-2)/2)/(-3) - 1. Let q = 1.036 - 0.036. What is the closest to q in y, x, 0.1?
0.1
Let u = 607.028 - 612. Let o = -0.028 + u. Which is the nearest to -2/5? (a) o (b) 5 (c) -0.4
c
Suppose -21 + 27 = 2*f. Which is the closest to 1/2? (a) f (b) 25 (c) -2/7
c
Let i = -1.2 + 5.2. Which is the closest to -1? (a) 109 (b) 0.4 (c) i
b
Let m = -2.19 + 2.29. Which is the closest to m? (a) -0.1 (b) -2/7 (c) 40
a
Let w = 5 + -6. Let k = 0.55 + -0.1. Let m = 0.45 - k. What is the closest to w in -5, -1, m?
-1
Let n = -152 - -152.2. What is the nearest to 1/4 in n, -0.1, 3, -4/9?
n
Let x be (-3)/(-4)*1/(-3). Let f = 24/55 + -2/55. Let g = -16.5 - -16.8. Which is the nearest to f? (a) g (b) x (c) -2
a
Suppose -4*i + 12 = -4*d, -i = -4*d - 3 - 0. Suppose q + 3*u + 15 = d, -u = -2*q + 4*u + 3. Which is the nearest to -0.1? (a) q (b) 0.5 (c) 0.2
c
Let u be (-20)/(-30)*36/(-32). What is the closest to 3 in -1/9, 3/4, u, -0.3?
3/4
Let s = 8/3 + -7/3. Which is the nearest to 0.1? (a) -0.4 (b) -0.003 (c) s
b
Let z = 192 - 191.98. Which is the closest to z? (a) 2/11 (b) -1/7 (c) 3
a
Let p = -6.02 + 6.52. Which is the nearest to -1/3? (a) -9 (b) p (c) 9
b
Let u(a) = a**3 + 8*a**2 + a - 16. Let l be u(-7). Let s = -26 + l. What is the nearest to s in -1/5, 0.09, 0.5?
0.09
Let p be (-2 - (-96)/44) + 16/154. Which is the closest to p? (a) 2/7 (b) -3 (c) -1/3
a
Let t be -3 + -2 - (-4 + 1/(-1)). Which is the nearest to t? (a) 0.3 (b) -1 (c) -5/3 (d) -1/38
d
Let r = -1.418 - -1.318. Let m = 0.5 - 0.2. Which is the nearest to r? (a) 0 (b) m (c) 0.4
a
Let r = -4/101 - 295/202. Which is the closest to r? (a) 4 (b) 0 (c) -1/4
c
Let u = -14.444 + 0.344. Let q = -14.03 - u. Which is the closest to 3? (a) q (b) 3 (c) -2/9
b
Let w = -38 - -33. Let n be (1 - 1)/(3 + -1). Suppose -2*x = -n*x. What is the nearest to 0 in x, -0.4, w?
x
Let w = -0.57 - -0.06. Let x = w + 1.51. What is the nearest to x in 0.3, 0.5, 3?
0.5
Let l = 64.1 - 64. Let k = -64 - -58. What is the closest to l in 2/5, k, 4?
2/5
Let k(j) = j**2 - 3*j + 3. Let x(s) = s**2 - 4*s + 2. Let o(h) = -2*k(h) + 3*x(h). Let w be o(5). Let b = 2 + -6. What is the closest to 0.2 in b, 2, w?
2
Let f = 80 + -79.7. Let p be (1/(-5))/(8/20). Which is the nearest to p? (a) -2/9 (b) 0.5 (c) f
a
Let w = 1468 - 14 | {
"pile_set_name": "DM Mathematics"
} |
.18, -1
Sort -66, -6, 5, 13, 3.
-66, -6, 3, 5, 13
Sort 1/11, 2/17051, -0.05 in descending order.
1/11, 2/17051, -0.05
Sort -166, 0, -0.12, -2, -1, -0.2 in increasing order.
-166, -2, -1, -0.2, -0.12, 0
Sort 2, -7147, 18, -4.
-7147, -4, 2, 18
Sort -1, -4692, 0 in ascending order.
-4692, -1, 0
Put -100, -1/4, 1/2, 1215/7 in decreasing order.
1215/7, 1/2, -1/4, -100
Put -3, 450, -16 in increasing order.
-16, -3, 450
Sort -69, 158, 1/4 in descending order.
158, 1/4, -69
Sort 4, -7, 119, -3, 1 in increasing order.
-7, -3, 1, 4, 119
Put 3, 4, 50, -5, 10, 5 in increasing order.
-5, 3, 4, 5, 10, 50
Sort 30333, 2/7, -2 in decreasing order.
30333, 2/7, -2
Put 1, -11516, 2/5 in decreasing order.
1, 2/5, -11516
Put -4, 1, -42748 in decreasing order.
1, -4, -42748
Sort 45, -4, -3, 5, 39 in decreasing order.
45, 39, 5, -3, -4
Sort 0, 4, 3, -1260, 5 in decreasing order.
5, 4, 3, 0, -1260
Sort -2, 929, 3 in increasing order.
-2, 3, 929
Sort 0.5, 0.2, -59, -144 in decreasing order.
0.5, 0.2, -59, -144
Sort 1, -16, 5, 2, 1820 in increasing order.
-16, 1, 2, 5, 1820
Put -7, 0, 3, -82, 17, -1 in ascending order.
-82, -7, -1, 0, 3, 17
Put 1.7, 4/3, -7, 1/82 in decreasing order.
1.7, 4/3, 1/82, -7
Sort -3, 10, 7, -9 in descending order.
10, 7, -3, -9
Sort 1, 21, 3, 4, 5, 1223 in decreasing order.
1223, 21, 5, 4, 3, 1
Put 378, -0.4, 10, 3/5 in decreasing order.
378, 10, 3/5, -0.4
Put 12.8, -1/6, 0, 0.01 in descending order.
12.8, 0.01, 0, -1/6
Sort -1, -47, 35, 3 in increasing order.
-47, -1, 3, 35
Put 45, 12, -0.1, -4 in decreasing order.
45, 12, -0.1, -4
Put -0.1, -2433, -1/5 in increasing order.
-2433, -1/5, -0.1
Put -2/7, -3075, 7 in decreasing order.
7, -2/7, -3075
Put -2/7, -3, -1/7, -51.1 in descending order.
-1/7, -2/7, -3, -51.1
Sort 824, 3, -9, 1, -3, -4 in increasing order.
-9, -4, -3, 1, 3, 824
Sort 1, 80, -110 in increasing order.
-110, 1, 80
Put 1, -173, -5, 4 in decreasing order.
4, 1, -5, -173
Put 31, 15, -3, -80 in ascending order.
-80, -3, 15, 31
Sort -0.1, 12, 0.3, 481, 2.
-0.1, 0.3, 2, 12, 481
Put -47, -5, -440/3, -0.4, 1/8, 2 in decreasing order.
2, 1/8, -0.4, -5, -47, -440/3
Sort -33, 101, -3, -4, -5 in descending order.
101, -3, -4, -5, -33
Sort -29, -91, -2, 0 in ascending order.
-91, -29, -2, 0
Sort 2/3, 106, 4, 1, -39, -2/7.
-39, -2/7, 2/3, 1, 4, 106
Sort -0.1, -2, 253, 1/4, 0.3 in descending order.
253, 0.3, 1/4, -0.1, -2
Put -1, -95, 0, 2, 3 in decreasing order.
3, 2, 0, -1, -95
Sort -0.5, 0.5, 17, -2, -0.065, -11 in decreasing order.
17, 0.5, -0.065, -0.5, -2, -11
Put -3, 60968, 16 in descending order.
60968, 16, -3
Sort 2, -23162, -2/17, -5, 0.3.
-23162, -5, -2/17, 0.3, 2
Sort 0, 42, -4, 2, -1, -3 in decreasing order.
42, 2, 0, -1, -3, -4
Put 5/2, 5, -18, -2.23 in ascending order.
-18, -2.23, 5/2, 5
Sort -1/276, -1502, 1 in decreasing order.
1, -1/276, -1502
Sort 1, -2, 0.7, 2, 0.029 in increasing order.
-2, 0.029, 0.7, 1, 2
Sort -5, -6, -255, 4, 2, 3 in descending order.
4, 3, 2, -5, -6, -255
Put 3, -1, 11, 0, 10, -112 in ascending order.
-112, -1, 0, 3, 10, 11
Put 23, -3, -2, -5, -14, -142 in increasing order.
-142, -14, -5, -3, -2, 23
Sort -6, -5, -1537 in descending order.
-5, -6, -1537
Put 1, 1306, -2 in ascending order.
-2, 1, 1306
Sort 26, -0.3, 13, 0.7 in increasing order.
-0.3, 0.7, 13, 26
Put 3, 2642, 10 in increasing order.
3, 10, 2642
Put -52, -3, 210, 7, 2 in decreasing order.
210, 7, 2, -3, -52
Put 3, -220, -4, 5, -9 in ascending order.
-220, -9, -4, 3, 5
Put -5, -58, -8/7, 5, -0.01 in increasing order.
-58, -5, -8/7, -0.01, 5
Sort -51, -1/21, 1, -12 in decreasing order.
1, -1/21, -12, -51
Sort 3, 117, 27, -3, 6 in increasing order.
-3, 3, 6, 27, 117
Sort 4, 2, 12, -60 in increasing order.
-60, 2, 4, 12
Put -584, 5, -0.5, 12, 0.1 in ascending order.
-584, -0.5, 0.1, 5, 12
Put 3/2, 13, -1/5, -0.4, 17, 0 in ascending order.
-0.4, -1/5, 0, 3/2, 13, 17
Sort -25, -2, 2923.
-25, -2, 2923
Put -105, -91, -4, -1, 11, -3 in decreasing order.
11, -1, -3, -4, -91, -105
Sort -25, 857, -4, -2.
-25, -4, -2, 857
Sort -49, -8, 2, -29 in descending order.
2, -8, -29, -49
Put -0.1, -2/85, 27.45 in ascending order.
-0.1, -2/85, 27.45
Sort 3, -4, 6550, -0.18, 4.
-4, -0.18, 3, 4, 6550
Put 13, 867, -3, 1, 5, 2 in descending order.
867, 13, 5, 2, 1, -3
Sort -4, 6, 34, 4.
-4, 4, 6, 34
Sort -3, 2, 4, 125, 1 in descending order.
125, 4, 2, 1, -3
Sort -62/21, -5, 2/27, -0.4.
-5, -62/21, -0.4, 2/27
Sort -16, 12, -25 in increasing order.
-25, -16, 12
Put -14361, 2, -2, -5 in ascending order.
-14361, -5, -2, 2
Put -4, 37, -1/6, -8 in decreasing order.
37, -1/6, -4, -8
Sort -4, -3, -1990.
-1990, -4, -3
Sort -4984/15, 8, -0.4.
-4984/15, -0.4, 8
Sort -3, 1, 49, 6, 0 in ascending order.
-3, 0, 1, 6, 49
Sort 5, -4243, -7, -2.
-4243, -7, -2, 5
Sort 772, 3, 11, 2, 0 in decreasing order.
772, 11, 3, 2, 0
Sort 32, 500, -3, -5, -4, 1.
-5, -4, -3, 1, 32, 500
Put 1554, 0.3, -7.2 in ascending order.
-7.2, 0.3, 1554
Sort -0.1, -8052, 1/5, 3, 2/5 in descending order.
3, 2/5, 1/5, -0.1, -8052
Sort -3, 5, 2, -206/3.
-206/3, -3, 2, 5
Sort -1360, 73, -2.
-1360, -2, 73
Put -2, -6136, 4, 0 in ascending order.
-6136, -2, 0, 4
Put 25, -4/7, 0.02, -0.94, 0 in decreasing order.
25, 0.02, 0, -4/7, -0.94
Sort 0.428, -3, -1249.
-1249, -3, 0.428
Put -5, -1, 2, 4, 5, 18 in decreasing order.
18, 5, 4, 2, -1, -5
Sort 5, 0, -347, -1 in increasing order.
-347, -1, 0, 5
Sort -5, -3, 5, -195, 74 in increasing order.
-195, -5, -3, 5, 74
Sort -2, 27, -5, 5, 2.
-5, -2, 2, 5, 27
Put -2930, -2/7, 6, -5/4, 0.2 in descending order.
6, 0.2, -2/7, -5/4, -2930
Sort -21, -9171, 4, -4 in increasing order.
-9171, -21, -4, 4
Put 1591, -5, 4 in decreasing order.
1591, 4, -5
Sort -70, 75, -2.
-70, -2, 75
Sort -4, -112, -25, 118 in descending order.
118, -4, -25, -112
Put 0.3, 4, 6, -0.5, 2/7, -3244 in decreasing order.
6, 4, 0.3, 2/7, -0.5, -3244
Sort 3, -106, -1, -4, 1.
-106, -4, -1, 1, 3
Sort 22, 1/9, 16, -0.5, 3, 0 in descending order.
22, 16, 3, 1/9, 0, -0.5
Sort -3, -926, -16 in ascending order.
-926, -16, -3
Sort 1, 2/73, -1.7, -1/9, -1/7, -5 in descending order.
1, 2/73, -1/9, -1/7, -1.7, -5
Put 2/5, 16, 0.03, -7, -5, 2/7 in increasing order.
-7, -5, 0.03, 2/7, 2/5, 16
Sort -2, 7, 2, -8, 0, -43 in descending order.
7, 2, 0, -2, -8, -43
Put -289, 4, -8, -2, -1, 7 in decreasing order.
7, 4, -1, -2, -8, -289
Sort -3, 2, -9, -22, 6 in ascending order.
-22, -9, -3, 2, 6
Sort 4, -5, 1, -13, -39 in decreasing order.
4, 1, -5, -13, -39
Sort 2/3, -308/9, -7, 3, -3/2 in ascending order.
-308/9, -7, -3/2, 2/3, 3
Put -156, 1, -8 in decreasing order.
1, -8, -156
Put 3, -5, -19, 1, -134 in decreasing order.
3, 1, -5, -19, -134
Sort -1, 5910, 6 in decreasing order.
5910, 6, -1
Put 4, -5, -16880, 5 in descending order.
5, 4, -5, -16880
Sort -2, -1893, -118.
-1893, -118, -2
Sort -2/7, -1/11, 1/8, 18, 23 in ascending order.
-2/7, -1/11, 1/8, 18, 23
Sort 35, 5, -270 in decreasing order.
35, 5, -270
Sort -14, -4, 5, 101, -1 in increasing order.
-14, -4, -1, 5, 101
Sort -10, 40279, -1.
-10, -1, 40279
Sort 4, -5570, 3, 12 in descending order.
12, 4, 3, -5570
Sort 0.3, 1, -34, -27.5, -3 in decreasing order.
1, 0.3, -3, -27.5, -34
Sort -2, 102.2633, -0.2.
-2, -0.2, 102.2633
Put -2, -17, 32, -8, -3 in increasing order.
-17, -8, -3, -2, 32
Put -16, 4, -5, 3, 0, -149 in increasing order.
-149, -16, -5, 0, 3, 4
Sort 50, 1124, -2.
-2, 50, 1124
Sort 5, -189, 94, 4 in descending order.
94, 5, 4, -189
Sort -11, -967, -9 in increasing order.
-967, -11, -9
Sort -0.1, -2, -1/7, -1, -7203 in ascending order.
-7203, -2, -1, -1/7, -0.1
Sort 0.4, 5, 24760 in ascending order.
0.4, 5, 24760
Sort 3, 5, -2, 4, 87, -6 in descending order.
87, 5, 4, 3, -2, -6
Sort -3, 7, -5, 0, -96, 22 in increasing order.
-96, -5, -3, 0, 7, 22
Put 4, -1, -57, -3465 in increasing order.
-3465, -57, -1, 4
Put -1, -0.8, -2/35, 3, -465 in increasing order.
-465, -1, -0.8, -2/35, 3
Put -2/3, -32.9, -1/3, 2/3, 0.3 in decreasing order.
2/3, 0.3, -1/3, -2/3, -32.9
Sort -3, 3914, 3, -5 in ascending order.
-5, -3, 3, 3914
Sort -6, -1, 4, 50, -5 in increasing order.
-6, -5, -1, 4, 50
Sort -16/59, -4/7, -1/3, -0.01, 1/5 in descending order.
1/5, -0.01, -16/59, -1/3, -4/7
Put -0.21, -7, -86, 0.2, -2/7 in increasing order.
-86, -7, -2/7, -0.21, 0.2
Put -0.3, -5, -4, | {
"pile_set_name": "DM Mathematics"
} |
- 27. Sort x, d, 1.
d, x, 1
Suppose -v = -m - 2, 2*m = -3*v + 2*v + 8. Sort -6, 1, v, -2 in ascending order.
-6, -2, 1, v
Let m(y) = -y**2 - 13*y - 13. Let r be m(-12). Sort 0, r, 4, -2 in ascending order.
-2, r, 0, 4
Let o = 10 - 6. Let h(m) = m**3 - 5*m**2 + 4*m - 2. Let a be h(o). Let s = -89 - -88.6. Put s, -0.1, a in descending order.
-0.1, s, a
Let c = 38 + -37.7. Suppose -4*m - 2*y + 4*y + 34 = 0, 0 = m - 3*y - 21. Suppose 0 = 2*i - m - 4. Sort c, -2/13, i in ascending order.
-2/13, c, i
Let q = -7 - -2. Put 5, q, 2 in ascending order.
q, 2, 5
Let g = -2303/13 - -177. Let m be (6/14)/(3/2). Sort m, 0.3, g in increasing order.
g, m, 0.3
Let g = -11 + 15. Suppose 2*u - 14 = -4. Let i = 0.14 - -2.86. Sort u, i, g in increasing order.
i, g, u
Let q = 140 + -419/3. Sort q, 2, -0.4 in descending order.
2, q, -0.4
Let f = 21/4 + -5. Let k be 0 + -1 - 4218/(-4848). Let n = 1/202 + k. Sort f, 0, n in increasing order.
n, 0, f
Let q(n) = n**3 - 6*n**2 - 2*n + 8. Let a be q(6). Let w = -4 + 6. Sort -0.05, a, w in decreasing order.
w, -0.05, a
Suppose -2*i - 13 = -3. Suppose -r - 3*r = 28. Let n = r + 10. Put n, i, -2 in decreasing order.
n, -2, i
Suppose 4 = -2*c - 0*c. Let t be 1*((-6)/c - -2). Sort 3, t, 0 in ascending order.
0, 3, t
Let q be (-30)/(-9) + (1 - 4). Let d = -164/255 + -2/85. Let o be -1 - ((-1 - -2) + -1). Put q, d, o in decreasing order.
q, d, o
Let r = -4.96 + 5. Sort -3/2, r, -0.2, -0.5 in descending order.
r, -0.2, -0.5, -3/2
Let m = -139/720 + -1/144. Sort 0.03, m, 0.3 in decreasing order.
0.3, 0.03, m
Let h(t) = -t**2 - 9*t - 4. Let d be h(-8). Sort -3, -5, d in increasing order.
-5, -3, d
Let y = -1.969 + -0.031. Sort y, 0, -0.4 in increasing order.
y, -0.4, 0
Let l = -8 + 3. Let r = -6.08 - -6. Let b = -2.92 + r. Sort l, b, -2.
l, b, -2
Let w be 12/5 - 6/15. Sort w, -2, -4.
-4, -2, w
Let y be (-4)/(21 - 1) - (-12)/10. Put 4, -2/9, y, -2/3 in decreasing order.
4, y, -2/9, -2/3
Let f = -0.1 - 2.9. Let o be 217/245 + 6/(-10). Sort 0.5, o, f in descending order.
0.5, o, f
Let d = 0.3 - -0.1. Sort -1, 1/7, d in decreasing order.
d, 1/7, -1
Let i = 12 - 15. Let n be 2/(-9) - 4/(-18). Put i, 3, n in decreasing order.
3, n, i
Let y be (-3)/(-4) + (-11)/4. Put y, 3, -9 in ascending order.
-9, y, 3
Suppose -c - 7*c - 24 = 0. Put -1, c, 0 in decreasing order.
0, -1, c
Let p(l) = 3*l - 1. Let x be p(-3). Suppose 0*o + 8 = 2*o + 2*c, -2*c = -o + 7. Sort x, 2, o in ascending order.
x, 2, o
Let x be 5/6*24/80. Let k be 70/28*(-8)/(-10). Put k, x, 0.4 in decreasing order.
k, 0.4, x
Suppose u + 4*x + 24 - 7 = 0, -x - 4 = 0. Let l be 5/(-6) - (-2 - u). Let i = -1/6 - l. Sort i, -0.5, 4 in ascending order.
-0.5, i, 4
Let h = -0.1 - -0.1. Let i = h + -2. Let q(s) = s**3 + 5*s**2 - s - 3. Let t be q(-5). Sort t, 1, i in decreasing order.
t, 1, i
Let c = 60 + -56. Put -5, -2/15, -3, c in decreasing order.
c, -2/15, -3, -5
Suppose -m + 4*m - 3 = 0. Let n be 2 - (48/27)/m. Let k = -4 - -1. Sort n, k, -5 in increasing order.
-5, k, n
Suppose 3*o - 4*o = -2. Sort 3, 5, o.
o, 3, 5
Suppose 4*r = -3*c - 15, 3*r - 6*r - 2*c - 11 = 0. Let w be 2 - 5 - (3 - 2). Sort r, -2, w in decreasing order.
-2, r, w
Let u = 6 - 6.3. Suppose 0*w - 17 = 5*v - 2*w, -2*w = 4*v + 10. Sort -4, u, v in descending order.
u, v, -4
Let s be 6/27 - (-22)/(-18). Let r be ((-6)/(-5))/((-12)/40). Sort r, s, -2.
r, -2, s
Let g(y) = -6*y. Let j be g(-1). Sort 4, -5, j in ascending order.
-5, 4, j
Let q(a) = 7*a + 4. Let d be q(-1). Suppose 0 = -5*f - 2*v + 68, 0*v = 3*f - 5*v - 16. Let c be (2/3)/(2/f). Sort d, -4, c in descending order.
c, d, -4
Suppose 194*v + 6 = 197*v. Let y = 0.6 + -1. Sort v, 4, y in descending order.
4, v, y
Let b = 0 - 2. Let q = b - 2. Let k = -4 - -2. Put q, -3, k in increasing order.
q, -3, k
Suppose -a + 6 = -0*a. Let m = a - 9. Sort -1, -0.5, m in decreasing order.
-0.5, -1, m
Let s be (150/14)/(-3) + (-12)/(-21). Put s, 3, 2 in descending order.
3, 2, s
Let f(l) = 2*l**2 - l - 16. Let i be f(-3). Sort 15, i, -2.
-2, i, 15
Let f(z) = z**3 - 4*z**2 - z + 9. Let c be f(4). Sort c, -2, -1 in ascending order.
-2, -1, c
Let q be ((-8)/(-6))/((-6)/(-27)). Suppose -q*y = -3*y - 6. Let p = 0.2 - 4.2. Sort p, y, 3.
p, y, 3
Let v = -69 - -65. Put -1, -0.4, v in descending order.
-0.4, -1, v
Let t = -850 - 82. Let s be 2/(-8) + t/(-80). Let b = 12 - s. Put b, 3/4, -3/5 in descending order.
3/4, b, -3/5
Let c = -63 - -191/3. Let p = 1 + 2. Suppose 5 = i + p. Put c, 1, i in descending order.
i, 1, c
Let x = -4 - -7. Let b = -0.13 - 0.17. Sort x, -1, b.
-1, b, x
Let d = -30 + 26. Let u = -1 - 0. Put 0, u, d in descending order.
0, u, d
Let z = -100.3 + 100. Put 4, -0.4, z, -13/4 in decreasing order.
4, z, -0.4, -13/4
Let v(i) be the second derivative of i**3/6 - 6*i**2 - 7*i. Let r be v(9). Let c be (-2)/8 + 26/8. Sort 4, c, r in decreasing order.
4, c, r
Let y = 5.6 + -0.6. Put y, -2/9, -4 in increasing order.
-4, -2/9, y
Let i(u) = u**3 - 6*u**2 + u - 7. Let z be i(6). Let h(c) = -c**2 - 9*c - 6. Let q be h(-7). Let w = q - 3. Put -2, z, w in ascending order.
-2, z, w
Let z = -0.55 - -0.05. Let v = z - -1. Let p = 1.2 + -0.2. Sort v, -4, p.
-4, v, p
Suppose 2*k = 5*w + 3 + 3, -5*k + 3*w = 4. Suppose 2 = -4*b + 6. Put b, k, 5 in descending order.
5, b, k
Let l(n) = 3*n**2 + 5*n. Let f be l(-2). Put 5, -3, f, 0 in decreasing order.
5, f, 0, -3
Let i be 20/(-3)*21/14. Put -4, -5, i in descending order.
-4, -5, i
Suppose 0 = 2*h - h. Put h, -4, -5 in descending order.
h, -4, -5
Let c = 72 - 77. Let w = 8 - 5. Put c, w, -19 in descending order.
w, c, -19
Let k = 16/15 - 5/3. Let r be 40/50 + 2/10. Sort -1, r, k.
-1, k, r
Let d be (-1)/((12/15)/(-4)). Suppose d*m + 13 = 2*m + f, -4*f = m - 13. Sort 2, m, 0.
m, 0, 2
Suppose 3*y + 0*y = 30. Sort y, -5, 3 in ascending order.
-5, 3, y
Suppose -3*w + 4*w = -2. Let z be (-2)/(-30)*(-5)/w. Let v = 2 + -4. Put 0, z, v in ascending order.
v, 0, z
Let z be (-4)/(-10) - 144/210. Let k = 12 - 12.1. Put z, k, -2/3 in increasing order.
-2/3, z, k
Let y = -44 + 48. Put -0.1, 1/7, y in decreasing order.
y, 1/7, -0.1
Let f = -704/3 + 232. Let w = 4 + f. Sort 1/3, 0.4, w in ascending order.
1/3, 0.4, w
Let a = -2.46 + 0.46. Put -3/5, -4, 0.4, a in descending order.
0.4, -3/5, a, -4
Let c = 3 + -1. Let b = -0.03 - 0.37. Put b, -2, c in decreasing order.
c, b, -2
Let m = 18 + -10. Suppose -5*l + u - 2 = -4, -3*u = 4*l + 6. Suppose -q + 3*q + m = l. Sort 5, q, -1 in descending order.
5, -1, q
Let o(y) = y**2 + y. Let n be o(-2). Let q = n + -4. Let m = 48 - 46. Sort m, q, 5 in descending order.
5, m, q
Let j(c) = c + 2 - 3 - 30*c**2 + 28*c**2. Let b be j(1). Sort b, 5, -5 in ascending order.
-5, b, 5
Suppose -4*f = f + 5. Sort f, -4, -3 in decreasing order.
f, -3, -4
Let v = -79 + 557/7. Sort 0, v, 0.1 in decreasing order.
v, 0.1, 0
Suppose 3*g - 3*p - 23 = -8, 2*g = -2*p - 6. Suppose -6*a + 5*y - 10 = -a, -5*y = 5*a. Sort a, -0.6, g.
a, -0.6, g
Let b be -2 + (-4)/4 + 2. Put b, -7, 2 in increasing order.
-7, b, 2
Let t = 0.63 + -0.03. Let i = -0.4 - t. Let k = -1103/13 - -85. Sort k, i, 0.4 in decreasing order.
0.4, k, i
Let g(c) be the second derivative of c**5/20 + c**4/2 + 2*c**3/3 - 5*c**2/2 + 4*c. Let a be g(-5). Put 5, 3, a in decreasing order.
5, 3, a
Suppose -2*b + 13 = n, 0*n + 4*n + 4*b - 36 = 0. Let j = 10 - 11. Put j, 3, n in decreasing order.
n, 3, j
Let y = 4.056 - 0.056. Put y, 1/7, -1 in decreasing order.
y, 1/7, -1
Let y be 91/(-104)*(-6)/7. Put 1, -5, y in decreasing order.
1, y, -5
Let w(h) = -h**3. Let q be w(-1). Suppose 4*u - 3*u - 2 = 0. Put q, u, -2 in increasing order.
-2, q, u
Suppose 2*i - 7 = 3. Suppose i*x + 4*d + 24 = 4, -3*d = -5*x - 20. Let c(z) = z**2 + 10*z + 12. Let h be c(-9). Put h, 2, x in increasing order.
x, 2, h
Let h(d) = -d**3 + 3*d**2 + d - 4. Let i be h(3). Let q be ((-6)/(-9))/((-2)/(-3)). Put 4, i, q in decreasing order.
4, q, i
Let k = 47 - 42. Sort 19, -2/7, k, 0.4 in decreasing order.
19, k, 0.4, -2/7
Suppose 4*s - 16 = 2*s. Sort 3, s, -4 in increasing order.
-4, 3, s
Suppose -12 = 9*k - 13*k. Suppose -k*s = 2*s - 5. Sort 3, s, 0.
0, s, 3
Let m(f) = -f**3 - 7*f**2 - 6*f + 8. Let k be m(-6). Suppose k*q - 20 = 4*q. Sort 4, -5, q in increasing order.
-5, 4, q
Let v(h) = 2*h**2 + 2*h - 2 + | {
"pile_set_name": "DM Mathematics"
} |
t a(v) = -2*v + 3. Let c = 6 + -12. Let g(y) = c*b(y) + 22*a(y). Let t(k) = -k**2. Give t(g(x)).
-4*x**2
Let z(d) be the third derivative of d**4/8 + 7*d**2. Let o(k) = -3*k**2. Give z(o(y)).
-9*y**2
Let b(f) be the third derivative of 0*f + 7*f**2 - 1/6*f**4 + 0*f**3 + 0. Let p(n) = -3*n. Give b(p(h)).
12*h
Let i(n) = n. Let l = 25 + -19. Let x(h) = -3*h**2 + l*h**2 - h**2 + 0*h**2. Calculate x(i(w)).
2*w**2
Suppose -h = h - 4. Let n(d) = -3*d**2 - 2*d**2 + h*d**2. Let o(c) = c**2 + c**2 + 0*c**2. Calculate o(n(l)).
18*l**4
Let q(j) be the third derivative of -j**8/10080 + j**5/20 + j**2. Let a(l) be the third derivative of q(l). Let z(o) = 3*o - 5*o + 4*o. Calculate a(z(i)).
-8*i**2
Let h(x) = 1137*x**2. Let z(v) = 3*v. Calculate z(h(y)).
3411*y**2
Let r(g) = -g. Let u(v) = v**2 - 1549*v. Determine r(u(h)).
-h**2 + 1549*h
Let t(o) = -o**2. Let c(p) = -p**2 + 8*p**2 + 8*p**2 - 19*p**2. Determine c(t(s)).
-4*s**4
Let w(b) = -5*b**2. Let d(s) = -31*s**2. Determine w(d(h)).
-4805*h**4
Let d(t) = -2*t. Let w(z) = -27*z**2 - 2*z. Let f(r) = -108*r**2 - 9*r. Let y(c) = -2*f(c) + 9*w(c). What is d(y(b))?
54*b**2
Let y(b) = -2*b. Let q(x) = 7 + 10*x**2 - 7. Calculate y(q(f)).
-20*f**2
Let n(w) = 120*w**2. Let c(v) = 79*v. Determine c(n(x)).
9480*x**2
Let o(t) = -4*t. Let n(d) = -2*d + 5*d + 0*d + 4*d. What is n(o(r))?
-28*r
Let l(z) = -z**2. Let h(g) be the second derivative of -g**4/6 + 13*g**3/2 - 38*g + 2. Determine h(l(u)).
-2*u**4 - 39*u**2
Let u(x) = 3*x**2. Let k(h) = -5*h - 158. Give k(u(a)).
-15*a**2 - 158
Let r(o) = -2*o. Let p(y) = -38*y + 11*y + 4*y - 19*y. Give p(r(h)).
84*h
Let h(g) = -2*g**2. Let t(v) be the second derivative of -6*v**3 - 29*v. Calculate h(t(q)).
-2592*q**2
Let s(v) = -v - 3. Let h(i) = 2*i + 2. Let r(k) = 3*h(k) + 2*s(k). Let f(d) = -d - 6. Let w(b) = b + 5. Let l(y) = 5*f(y) + 6*w(y). Give r(l(u)).
4*u
Let h(g) be the first derivative of -g**2 + 2. Suppose -6*z - 20 = -11*z. Let c(x) = -x - z*x + 0*x + 8*x. Determine h(c(m)).
-6*m
Let d(a) = 74*a. Let b(n) = n. Calculate d(b(u)).
74*u
Let g(q) = -5*q. Let j(l) = -4*l**2 + 180*l. Calculate j(g(p)).
-100*p**2 - 900*p
Let w(a) = -8*a**2. Let j(z) = z**2 - 5*z - 5. Let u(f) = -f - 1. Let n(v) = j(v) - 5*u(v). Calculate n(w(p)).
64*p**4
Let t(c) = -c + 1. Let v(m) = 6*m - 3. Let d(y) = -3*t(y) - v(y). Let f(r) = -2*r**2. Calculate f(d(w)).
-18*w**2
Suppose -5*v + 27 = 7. Let z(s) = s - s + v*s. Let r(t) = t - 1 - 1 + 2. What is r(z(i))?
4*i
Let b(u) = -u + u - u + 0. Let y(l) = l - 5. Let a(s) = 6. Let j(w) = -5*a(w) - 6*y(w). Calculate b(j(g)).
6*g
Let n(w) = -3*w**2. Let y(x) = -4*x**2 + 0*x**2 + 7*x**2. Calculate n(y(j)).
-27*j**4
Let r(g) = -8*g. Let m(y) = y**2 + 4*y**2 - 4*y**2. What is m(r(a))?
64*a**2
Let l(b) = -7*b. Let f(h) = -h**2 - 59*h + 59*h. Determine f(l(c)).
-49*c**2
Let r(w) = -3*w. Let q(t) be the second derivative of -3*t**4/4 - 10*t. Calculate r(q(x)).
27*x**2
Let h(y) = -y**2 + 3*y + 3. Let t(z) = z**2 + z + 1. Let j(q) = -2*h(q) + 6*t(q). Let p(s) be the second derivative of -s**3/6 + 15*s. Give p(j(f)).
-8*f**2
Let u(n) = -2*n**2. Let y(b) = -869*b. Determine y(u(j)).
1738*j**2
Let w(i) = 22*i**2 - 1. Let f(a) = -3*a**2. Determine f(w(t)).
-1452*t**4 + 132*t**2 - 3
Let n(o) = 27*o - 55*o + 27*o. Let d(m) be the second derivative of -m**4/2 + m. What is n(d(b))?
6*b**2
Let i(g) = -2*g. Let d(k) = -k**2 + 4*k. Calculate i(d(b)).
2*b**2 - 8*b
Let v(g) = -2*g + 2*g - g. Let u(s) = -5*s. Let a(x) = -26*x. Let p(h) = -2*a(h) + 11*u(h). Calculate v(p(z)).
3*z
Let o(a) = -9*a. Let t(n) = 58*n**2 + 5*n. Calculate o(t(x)).
-522*x**2 - 45*x
Let x(j) = -j**2. Let r(w) = -1 + 4 + 4*w + 4*w - 3*w. Let k(t) = 24*t + 14. Let z(m) = 6*k(m) - 28*r(m). Give z(x(p)).
-4*p**2
Let o(s) = s**2. Let n be ((2 - 1)*0)/1. Let r(m) = n*m + 5 - 3*m**2 + 2*m + 3*m. Let f(d) = -5*d**2 + 8*d + 8. Let w(k) = -5*f(k) + 8*r(k). What is w(o(v))?
v**4
Let t(p) = 44*p**2. Let a(y) = -10*y + 3*y + 3*y + 3*y. What is a(t(s))?
-44*s**2
Let t(z) = -7*z - 3. Let w(v) = 6*v**2. Determine t(w(x)).
-42*x**2 - 3
Suppose 0 = f, 3*f + 8 = w + f. Let k be 14/w + (-5)/(-20). Let h(a) = -7*a + 7*a + k*a**2. Let s(d) = 7*d. Determine h(s(n)).
98*n**2
Let q(t) = 10*t - 16*t + 8*t. Let x(u) = -4*u**2. What is q(x(c))?
-8*c**2
Let i(t) = t + 3. Let p(u) = u - 1. Let w(f) = -6*f - 1. Let m(x) = -4*p(x) - w(x). Let o(r) = -5*i(r) + 3*m(r). Let b(l) = -11*l**2. Give b(o(v)).
-11*v**2
Let r(w) = 13*w + 10*w - 10*w. Let k(v) = v. Determine k(r(x)).
13*x
Let b(h) = 5712*h - 2. Let j(d) = -2*d**2. Give j(b(c)).
-65253888*c**2 + 45696*c - 8
Let k(h) = -h**2. Let z(v) = 11*v**2 + 4*v. Let a(c) = -154*c**2 - 55*c. Let n(q) = 4*a(q) + 55*z(q). Determine n(k(y)).
-11*y**4
Let y(c) = -5*c. Suppose -6*o + 4 = -4*o. Let d(g) = g**2 + 6*g + 5. Let k be d(-6). Let h(p) = -1 - k + 6 + 2*p**o. Determine y(h(u)).
-10*u**2
Let l = 7 - 17. Let i(b) = 9*b. Let x(d) = -2*d. Let o(m) = l*x(m) - 2*i(m). Let n(k) = -10*k**2. What is n(o(h))?
-40*h**2
Let j(w) = w - 3*w + 18*w. Let o(y) = 2*y. Calculate j(o(m)).
32*m
Let p(l) be the second derivative of -l**6/72 - l**3/3 + 8*l. Let r(s) be the second derivative of p(s). Let i(d) = -2*d. Determine i(r(y)).
10*y**2
Let z(m) = 22*m. Let o(q) = 50*q**2. What is o(z(c))?
24200*c**2
Let n(u) = u**2 + 6*u + 1. Let d be n(-6). Suppose -3 = -2*h + d. Let s(g) = g**h + 4 - 4. Let k(w) = 3*w**2. What is k(s(q))?
3*q**4
Let s(h) = 2*h**2 + 3*h + 3*h - 6*h. Let g(t) = -7*t**2. Determine g(s(c)).
-28*c**4
Let b(w) = 5*w**2. Let j(z) = -z + 145. Determine j(b(s)).
-5*s**2 + 145
Let z(g) = -g + 5. Let n(b) = -4*b. Calculate n(z(s)).
4*s - 20
Let m(l) = -4*l**2. Let q(j) be the first derivative of 3*j + 0*j**3 + 3 + 0*j**2 + 1/12*j**4. Let z(r) be the first derivative of q(r). Determine m(z(n)).
-4*n**4
Let t(c) = c**2. Let n(z) = -59*z. Determine t(n(l)).
3481*l**2
Let s(x) = -x. Let f be -1 - 1 - (-2 + -3). Let m(j) = j + 3 - f. What is s(m(k))?
-k
Let p(l) = 2*l. Let u = -23 + 25. Let c(b) = 21*b. Let w(r) = u*c(r) - 18*p(r). Let t(a) = -2*a**2. Give t(w(z)).
-72*z**2
Let s(t) = -2*t**2. Let o(n) = 70*n**2. Determine s(o(c)).
-9800*c**4
Let x(m) = -m. Let z(v) be the third derivative of 0*v**3 - 2*v**2 + 1/24*v**4 + 0 + 0*v. Determine z(x(q)).
-q
Let s(o) = -o**2 - 9*o - 5. Let u be s(-8). Let g(k) = 9*k**2 - 3 + u - 2*k**2. Let z(d) = d**2. What is g(z(b))?
7*b**4
Let v(a) = 11*a + 2. Let y(h) = -441*h - 81. Let x(t) = -81*v(t) - 2*y(t). Let n(u) = -4*u**2. What is n(x(d))?
-324*d**2
Let c(m) be the second derivative of -m**4/12 - 14*m. Let t(p) = 58*p. Determine c(t(i)).
-3364*i**2
Let v(n) = 2*n**2. Suppose 4*h = 2*o - 22, 0*o - o = -3*h - 14. Let f(r) = o*r**2 - 5*r + 5*r + 0*r. Calculate f(v(l)).
20*l**4
Let s(q) = q. Let y(r) = 641*r**2. Give s(y(v)).
641*v**2
Let x(d) = d - 2. Let w(i) = 3*i - 5. Let o(p) = 2*w(p) - 5*x(p). Let c(g) = 4*g - 3*g + 2*g. Determine o(c(t)).
3*t
Let o(j) = 2*j**2. Let l(m) = 388*m + 15. Determine l(o(h)).
776*h**2 + 15
Let m(q) = -q + 9*q + 3*q. Let p(d) = -49 + 101 + d - 52. What is p(m(z))?
11*z
Let w(y) = -3*y**2. Let f(z) = 190*z + 51. Determine w(f(q)).
-108300*q**2 - 58140*q - 7803
Let f(m) = 4*m**2 + 5*m - 5. Let o(y) = y - 1. Let i(l) = -f(l) + 5*o(l). Let w(s) = -2*s**2. What is i(w(u))?
-16*u**4
Let x(k) = -k - 10. Let m be x(-7). Let r(s) = -5*s + 4. Let a(l) = -4*l + 3. Let g(b) = m*r(b) + 4*a(b). Let c(d) = d - 2 + 2. Give g(c(h)).
-h
Let x(l) = -6*l. Suppose -32 = v - 0*v + 2*u, -4*u = -5*v - 118. Let a = -16 - v. Let y(t) = 5*t - a*t + 3*t. Calculate y(x(i)).
12*i
Let k(b) = -9*b**2. Let m(i) = -i**2 + 213*i - 2. Give m(k(j)).
-81*j**4 - 1917*j**2 - 2
Let o(n) be the third derivative of -n**6/180 + 2*n**3/3 - n**2. Let b(z) be the first derivative of o(z). Let s(k) = -3*k**2. Calculate b(s(r)).
-18*r**4
Let d(f) = -13*f - 2. Let h(s) = 90*s + 15. Let i(r) = -15*d(r) - 2*h(r). Let x(w) = w - 2*w + 2*w. What is i(x(q))?
15*q
Let h(k) = -108*k**2. Let w(c) = -65*c**2. Determine w(h(p)).
-758160*p**4
Let p(y) = -2*y**2. Let b = 1 + 2. Let c be (3/(-2))/(b/(-6)). Let g(v) = 6 + c*v - 6. Give p(g(t)).
-18*t**2
Let z(k) = 36*k**2. Let n(x) = 7*x**2. Determine n(z(d)).
9072*d**4
Let j(r) = 2*r. Let p(g) be the second derivative of g**4/2 + 15*g. | {
"pile_set_name": "DM Mathematics"
} |
44
What is prob of sequence ff when two letters picked without replacement from cckqffffkkkfckfkf?
21/136
Two letters picked without replacement from hffffhhfhhfff. What is prob of sequence ff?
14/39
Two letters picked without replacement from {t: 1, m: 3, e: 1, v: 5, f: 4, h: 1}. What is prob of sequence vm?
1/14
Calculate prob of sequence zrg when three letters picked without replacement from zgkrghzzrggg.
1/44
Three letters picked without replacement from pvhpvk. Give prob of sequence pkh.
1/60
Calculate prob of sequence ylhk when four letters picked without replacement from {l: 1, x: 6, y: 5, k: 1, h: 2}.
1/3276
Calculate prob of sequence dd when two letters picked without replacement from {k: 5, e: 2, d: 13}.
39/95
What is prob of sequence rn when two letters picked without replacement from {r: 6, j: 8, o: 3, n: 2}?
2/57
Calculate prob of sequence pmpm when four letters picked without replacement from {m: 8, n: 5, p: 5}.
7/459
Three letters picked without replacement from {b: 1, a: 11, p: 6, j: 1}. Give prob of sequence abp.
11/969
What is prob of sequence wr when two letters picked without replacement from {r: 1, x: 1, k: 1, w: 2}?
1/10
Two letters picked without replacement from {y: 9, i: 2}. Give prob of sequence yy.
36/55
Two letters picked without replacement from {y: 1, e: 8, o: 2, h: 2}. What is prob of sequence ey?
2/39
What is prob of sequence yc when two letters picked without replacement from yssyyssyusyc?
5/132
What is prob of sequence uu when two letters picked without replacement from {u: 2, a: 18}?
1/190
Four letters picked without replacement from qqqssqqssssqqsss. Give prob of sequence ssss.
9/130
Calculate prob of sequence vzzv when four letters picked without replacement from vvvvzz.
1/15
Two letters picked without replacement from {p: 3, k: 4, d: 4, g: 3, y: 2}. Give prob of sequence dk.
1/15
Four letters picked without replacement from {v: 1, a: 4, k: 1, c: 2, u: 2}. What is prob of sequence auca?
1/105
Three letters picked without replacement from tnzpnznzutpnuzv. What is prob of sequence nuv?
4/1365
Calculate prob of sequence qocc when four letters picked without replacement from {c: 3, o: 3, i: 6, q: 3}.
3/1820
Two letters picked without replacement from xxghjhjgjhggxhhhhhjh. Give prob of sequence jh.
9/95
Calculate prob of sequence nnny when four letters picked without replacement from ynynnnynnynnnnnnynn.
455/3876
Four letters picked without replacement from {c: 2, z: 4, j: 1, q: 1, w: 1}. Give prob of sequence zzqz.
1/126
What is prob of sequence uktt when four letters picked without replacement from ttkuuttkuututtkut?
3/170
Calculate prob of sequence ly when two letters picked without replacement from {n: 4, y: 1, s: 1, l: 5}.
1/22
Three letters picked without replacement from cfkqf. What is prob of sequence qck?
1/60
What is prob of sequence vi when two letters picked without replacement from {g: 4, v: 1, y: 1, i: 2, n: 1}?
1/36
Calculate prob of sequence sp when two letters picked without replacement from ypseeyjayeesay.
1/91
Four letters picked without replacement from mjjfaanjmfjjmmj. What is prob of sequence ajjf?
1/273
What is prob of sequence cr when two letters picked without replacement from {n: 5, b: 2, i: 3, r: 1, e: 3, c: 1}?
1/210
Four letters picked without replacement from {i: 2, e: 3, t: 4}. Give prob of sequence tiee.
1/63
What is prob of sequence lndn when four letters picked without replacement from tntlltnltlnlltttdtt?
1/2584
Two letters picked without replacement from {o: 1, m: 2, v: 3, w: 1}. What is prob of sequence vv?
1/7
What is prob of sequence aaaa when four letters picked without replacement from yyyaaaaaaya?
7/66
Two letters picked without replacement from qzlzqrqerz. What is prob of sequence zz?
1/15
What is prob of sequence pfp when three letters picked without replacement from fpp?
1/3
Three letters picked without replacement from vmdhd. What is prob of sequence ddh?
1/30
Two letters picked without replacement from {p: 3, w: 2, j: 1, k: 1, f: 1, n: 3}. What is prob of sequence pp?
3/55
Two letters picked without replacement from {l: 3, d: 1, p: 3}. What is prob of sequence pd?
1/14
Two letters picked without replacement from csdyydddscxy. Give prob of sequence dc.
2/33
Two letters picked without replacement from oyyyykyip. What is prob of sequence oy?
5/72
Three letters picked without replacement from {t: 1, m: 4, b: 2, f: 1, i: 1}. Give prob of sequence fbt.
1/252
Two letters picked without replacement from uvuuuuuuuuuuuuuuvu. What is prob of sequence uv?
16/153
Calculate prob of sequence iii when three letters picked without replacement from iiiixiiiiiili.
15/26
Two letters picked without replacement from {u: 1, w: 3, o: 2, b: 3, c: 4, s: 3}. Give prob of sequence oc.
1/30
Calculate prob of sequence pppp when four letters picked without replacement from {p: 6}.
1
Two letters picked without replacement from {c: 1, m: 3, o: 1, r: 6, w: 3}. What is prob of sequence wo?
3/182
What is prob of sequence fxjt when four letters picked without replacement from rxjxfnnt?
1/840
Four letters picked without replacement from xyyqyfhzhxx. What is prob of sequence zqyh?
1/1320
Three letters picked without replacement from kpdkiiiapbdpdpa. Give prob of sequence iap.
4/455
What is prob of sequence cxlx when four letters picked without replacement from wwwwxwlwvxlxlvclx?
1/1190
Two letters picked without replacement from {r: 8, m: 1, n: 1, x: 3, z: 1, a: 2}. Give prob of sequence ma.
1/120
What is prob of sequence sq when two letters picked without replacement from {m: 1, e: 1, q: 3, s: 4, v: 7, h: 2}?
2/51
Three letters picked without replacement from {b: 3, m: 5}. Give prob of sequence bmb.
5/56
Two letters picked without replacement from kburakbqbuuq. What is prob of sequence qk?
1/33
Calculate prob of sequence tzft when four letters picked without replacement from {z: 3, t: 2, f: 1, v: 7, y: 1}.
1/4004
Calculate prob of sequence rk when two letters picked without replacement from {k: 1, r: 1, q: 1}.
1/6
Three letters picked without replacement from {p: 1, s: 3, d: 4}. What is prob of sequence sss?
1/56
Two letters picked without replacement from {y: 4, t: 10, m: 2}. Give prob of sequence ym.
1/30
Four letters picked without replacement from bknwx. What is prob of sequence xwbn?
1/120
Three letters picked without replacement from {g: 3, l: 2, z: 7}. What is prob of sequence lgl?
1/220
Four letters picked without replacement from uuxxux. Give prob of sequence xuuu.
1/20
What is prob of sequence xll when three letters picked without replacement from tlxassnl?
1/168
Three letters picked without replacement from uuu. What is prob of sequence uuu?
1
Calculate prob of sequence ummh when four letters picked without replacement from {u: 3, z: 1, m: 6, h: 2}.
1/66
What is prob of sequence we when two letters picked without replacement from {w: 4, a: 1, i: 5, e: 1}?
2/55
What is prob of sequence pd when two letters picked without replacement from {d: 2, s: 3, p: 6, j: 1, r: 3}?
2/35
Three letters picked without replacement from sassvaaccva. Give prob of sequence csc.
1/165
Calculate prob of sequence zog when three letters picked without replacement from ooozogggoogooggzggg.
8/323
What is prob of sequence lhaa when four letters picked without replacement from {h: 3, l: 3, r: 8, a: 2, i: 3}?
1/5168
Calculate prob of sequence dd when two letters picked without replacement from dzdzdzz.
1/7
Two letters picked without replacement from {g: 2, l: 2}. Give prob of sequence gg.
1/6
What is prob of sequence lw when two letters picked without replacement from {w: 14, l: 1}?
1/15
Three letters picked without replacement from viqvvqvvviiiivvvi. What is prob of sequence vvq?
3/85
Two letters picked without replacement from {h: 2, u: 3, l: 2, n: 2}. Give prob of sequence nn.
1/36
Three letters picked without replacement from {u: 5, b: 2}. Give prob of sequence ubu.
4/21
Two letters picked without replacement from elelllllllllllllllle. Give prob of sequence ee.
3/190
Four letters picked without replacement from iuhphhpixuucpc. Give prob of sequence xcpp.
1/2002
Calculate prob of sequence hj when two letters picked without replacement from {d: 6, m: 3, j: 3, n: 1, h: 1}.
3/182
Calculate prob of sequence tz when two | {
"pile_set_name": "DM Mathematics"
} |
= o**3 - 12*o**2 + 2*o - 14. Let p(g) = g + 12. Let h be p(0). Let q be t(h). Calculate the greatest common factor of q and 10.
10
Let b(f) = -f**3 + 12*f**2 - 10*f + 8. Let l be b(8). Calculate the highest common factor of l and 23.
23
Suppose -7 - 11 = -x. Suppose -x = -2*o + 5*k + 25, 0 = 3*o + 5*k - 77. Calculate the highest common divisor of o and 3.
3
Suppose 3*q = n + 7 + 2, 0 = -3*n. Let y be -220*(33/15 - q). Let c be 16*(-1 + 0 - -2). Calculate the greatest common divisor of y and c.
16
Let f = 6 + 13. Calculate the greatest common factor of f and 19.
19
Suppose -91 = -5*a + n, n + 0*n = 4. What is the highest common factor of a and 19?
19
Suppose 3*v - 155 = -5*j - 58, v - 31 = -3*j. What is the greatest common factor of v and 85?
17
Let b be (-24)/3*(-6)/4. Suppose -8 - b = -l. Calculate the greatest common factor of l and 80.
20
Let k = 384 - -150. Suppose -a - 3*a = -5*x + k, -x = 5*a - 130. What is the highest common divisor of 10 and x?
10
Let y be ((-24)/4)/(-2) + 13. Calculate the highest common divisor of 24 and y.
8
Let b be (1224/51)/(0 + (-3)/(-32)). Calculate the greatest common divisor of b and 16.
16
Suppose -2*m = -30 - 42. What is the greatest common divisor of 24 and m?
12
Suppose -14 = -0*z - 2*z + 2*i, i + 23 = 5*z. Suppose -5*b - 2*j = -14 - 32, -z*b + j + 42 = 0. Calculate the greatest common divisor of b and 70.
10
Let b = -11 - -15. Suppose 4*r = -4*q + 4 - 0, 0 = 4*q + b. Let i be (-2)/(10/(-4) + r). What is the greatest common factor of i and 4?
4
Let p(y) = 2*y**2. Let d be p(-1). Suppose -2*g + 4*i + 24 = -0*i, -d*i = -3*g + 28. Calculate the greatest common factor of g and 40.
8
Suppose -11*g - 168 = -15*g. What is the highest common factor of 28 and g?
14
Suppose -3*m = -5*m + 6. Suppose -m*q + 10 = -71. What is the greatest common divisor of 3 and q?
3
Suppose 0 = 5*j + 5*s - 90, -j + 0*j + 4*s + 23 = 0. Calculate the highest common factor of j and 38.
19
Let r(h) = -h + 18. Let z be r(0). What is the highest common divisor of z and 162?
18
Suppose -5*z - 5 = -5*p, -z = p + 1 - 2. Suppose -u + 15 = -p. Let l = -5 - -9. What is the greatest common factor of u and l?
4
Let v(f) = 3*f**2 - 2*f + 1. Suppose -6 = 4*j + 5*c, -j + c = -c - 5. Let l be v(j). Calculate the greatest common divisor of l and 10.
2
Suppose 0 = 2*s - 0*s - 4. What is the greatest common divisor of s and 14?
2
Suppose -7*g - 32 = -4*r - 2*g, r - g = 7. Suppose 2*m = m - 2*z + 3, -3 = -m + 4*z. Suppose 13 = m*x - 14. What is the greatest common divisor of r and x?
3
Let u be 2 + -1 + (-25)/(-5). Calculate the greatest common divisor of 18 and u.
6
Suppose -2*y + 2*o + 16 = -o, 5*y - 4*o - 33 = 0. What is the greatest common factor of y and 40?
5
Let a = 4 - 2. Let x(w) = w**3 + 9*w**2 - 7*w + 4 - 2*w**a - 2*w. Let g be x(-8). Calculate the greatest common divisor of 4 and g.
4
Let y be (4 + -18)/((-4)/6). Calculate the highest common divisor of y and 35.
7
Let o = -67 + 113. What is the greatest common factor of 23 and o?
23
Let s be 50 - ((-8)/4 - 2). Calculate the greatest common divisor of s and 6.
6
Let a(u) = u**2 + 4*u - 2. Let q be a(-6). What is the greatest common factor of q and 15?
5
Let m = 332 + -196. What is the greatest common factor of m and 8?
8
Let d be (-26)/(-1) + 2 + -4. Suppose d = -0*o + 2*o. Calculate the greatest common factor of o and 8.
4
Let c be 2 + 52 + -3 + 0. Calculate the greatest common divisor of c and 17.
17
Let j(z) = 5*z**2 - 2*z - 1. Let o be j(-1). Let s = o - 13. Let f = s - -13. What is the greatest common divisor of f and 18?
6
Let s be (-2)/(-5) + (-552)/30. Let m be (3 + 2)*s/(-5). Let l = -98 - -143. What is the greatest common divisor of m and l?
9
Let b be (1 - (44 + 3))/(-1). Calculate the greatest common divisor of 69 and b.
23
Let n be 24/56 + 2038/14. Suppose 2*v - n = 104. What is the highest common factor of v and 50?
25
Suppose 0 = -9*z + 4*z + 55. Let d = z - 21. Let c = d + 76. What is the greatest common divisor of 6 and c?
6
Let y = 75 - 54. Suppose 13 = f - y. What is the highest common divisor of f and 17?
17
Let h(g) = -5*g**2 + 6*g - 1. Let y be h(-6). Let z = -96 - y. Calculate the greatest common divisor of z and 11.
11
Let c = 20 - -20. Let m(n) = n**3 + 6*n**2 + n. Let r be m(-5). What is the highest common factor of c and r?
20
Suppose -5*h = 3*s + 2*s, 2*h = 2*s - 4. Let w be (8/6)/(h/(-3)). Suppose c - 31 = -o, w*o - 59 = -5*c + 95. What is the highest common factor of 10 and c?
10
Let f = -3 - -12. Let y be 36/10*5/1. Calculate the highest common divisor of f and y.
9
Let a be -3*(-1)/((-6)/4). Let c be 12*-1*a/2. Let o(r) = -r**3 - 2*r**2 - r. Let q be o(-4). Calculate the highest common divisor of c and q.
12
Let t be (-48)/(-14)*(-1 + 8). Let p be (-2 - 1)*(-4)/6. Suppose p*s - 9 = 3*m, -s - 3 = -2*m - 5. What is the highest common factor of t and s?
12
Suppose 2*s - 156 = -4*t, 54 = -0*s + s - 4*t. Calculate the highest common factor of s and 14.
14
Let r(j) = 6*j + 2*j**3 - 5*j**3 + 2*j**3 + 6*j**2 + 4 - 2. Let h be r(6). Calculate the greatest common divisor of 19 and h.
19
Suppose -7*u = -12*u + 15. What is the highest common factor of 3 and u?
3
Let d = 0 - -52. Calculate the greatest common divisor of d and 416.
52
Let y be 9/(-3)*(-74)/6. Let q = y - -26. Let t be (-432)/(-60) - 2/10. Calculate the greatest common factor of t and q.
7
Let b(n) = n - 20. Let t be b(13). Let r(y) = y**3 - 5*y**2 + 2*y + 1. Let k be r(5). Let d = k + t. What is the highest common factor of 4 and d?
4
Let a be (-15)/(-3) + (-1)/1. Suppose -3*v = -v - a. Let w be (4/2)/(2/v). What is the highest common factor of 8 and w?
2
Suppose 84 = -7*k + 3*k. Let g = k + 28. Calculate the greatest common factor of 77 and g.
7
Let y be (-68)/(-6) - (-2)/3. Let r be 12/1 + (0 - 0). Calculate the greatest common factor of r and y.
12
Let z(m) = -2*m - 13. Let r be z(-7). Suppose 5*u - 15 = 2*u. Suppose 4*s - 34 = -q, 2*q + 44 = 5*s - u. What is the highest common divisor of r and s?
1
Let f = -15 - -19. Let s be (0 - -6)*12/18. What is the highest common factor of f and s?
4
Let s be (-30)/4*(12/(-4) + -13). Calculate the greatest common factor of s and 15.
15
Suppose 36 = -0*v - 4*v + 4*c, -3*v - 2*c = 7. Let t = v + 5. Suppose t = 5*u - 171 - 149. Calculate the greatest common factor of 8 and u.
8
Suppose -u + 82 = 5*q - 3*u, -74 = -3*q - 5*u. Suppose -v - q = -4*v. What is the highest common divisor of v and 6?
6
Let q(c) = 68*c**2 - c. Let u be q(-1). Let t = -17 + u. Suppose 171 + 193 = 14*s. Calculate the highest common divisor of t and s.
26
Suppose 16 = 4*f + 3*x - 17, -f - 5*x = -21. Calculate the greatest common divisor of f and 9.
3
Suppose -5*c - 6*y = -y - 645, 2*y - 518 = -4*c. Suppose 5*a = -d + 93 + c, -a = 2*d - 401. Let t = 215 - 197. Calculate the highest common factor of d and t.
18
Let h(j) = 16*j - 5 + 11 + 6. Let t be h(-8). Let b = 164 + t. What is the highest common factor of 6 and b?
6
Let o = 55 + 2. Let p = -41 + o. What is the greatest common divisor of p and 16?
16
Suppose 4*t - w = 383, 2*t + 2*w - 3*w = 191. Suppose 2*q - 48 = -2*q. What is the greatest common factor of q and t?
12
Suppose 0 = -t + 12 + 8. Let p be 352/t + (-4)/(-10). Calculate the highest common divisor of p and 2.
2
Let q = 42 + -20. Calculate the highest common divisor of 132 and q.
22
Let t = -8 + 10. Suppose -6*n = -2*n - 4*s - 28, -t*n + 34 = 3*s. Calculate the greatest common divisor of n and 77.
11
Suppose -2*l = -3*l + 5*t + 28, l - 19 = 2*t. Calculate the highest common divisor of 143 and l.
13
Let q be 1 + -2 + 37 + 3. Let v = q + -27. Suppose 0 = 2*f - 6 - 30. Calculate the greatest common divisor of v and f.
6
Suppose 0 = 3*x - p + 28, -3*x - 2*p - 2*p - 8 = 0. Let m = x + 14. Calculate the greatest common divisor of 3 and m.
3
Let i = -6 - -5. Let o be (-3)/i - 134/(-2). Calculate the greatest common factor of 14 and o.
14
Let y(k) = -2*k + 52. Let r be y(22). Calculate the greatest common factor of 32 and r.
8
Let o(u) = -92*u**3 + u**2 + u - 1. Let q be o(-1). Calculate the highest common divisor of 13 and q.
13
Suppose -4*j + 108 = -4*k, 0 = -3*j - 3*k - 2*k + 57. Suppose 3*s - 30 - 42 = 0. Let r be -48*(-15)/s*2. Calculate the greatest common divisor of j and r.
12
Let a | {
"pile_set_name": "DM Mathematics"
} |
o(c). Suppose 527 = 6*h - m. Is 11 a factor of h?
False
Suppose -2*k + 9*k = -112. Is (k/4 - -3)*-159 a multiple of 13?
False
Suppose -10908 = -2*h - 7*h. Suppose -2*n - h = -4*l, -3*n + 266 + 1249 = 5*l. Is 32 a factor of l?
False
Let f(z) = -8*z**2 + 25*z + 115. Let u be f(-5). Is 16 a factor of 10/u*-6 - (-1566)/7?
True
Let r = 16368 - 7493. Is 210 a factor of r?
False
Let u(n) = n**3 + 2*n**2 + n + 1. Let j be u(-2). Let x be (-32 - (5 + j))*-1. Does 9 divide -1 - (3*x)/(-4)?
False
Let h be 101643/969 + 2/19. Let f be (-2 - -3) + 4*62. Let s = f - h. Is 12 a factor of s?
True
Suppose 4*r - 12 = 2*r - p, -p = -2*r + 16. Suppose -3294 = -r*y + 619. Does 13 divide y?
True
Suppose 219*x - 149930 = 133018. Is x a multiple of 2?
True
Let j = 10691 + -8582. Does 12 divide j?
False
Let l(i) = -216*i**3 - 2*i. Let x(h) = -2*h**3 - h**2 + h + 2. Let r(b) = l(b) - x(b). Let w(s) = s + 1. Let j be w(-2). Is 12 a factor of r(j)?
True
Suppose -q + c + 5043 = 0, -5*q - 5*c + 25191 = -18*c. Is q a multiple of 8?
False
Suppose -459 = -129*p + 126*p. Let m = p + 151. Is 36 a factor of m?
False
Let u be (-1)/(14/(-4)) + 135476/154. Let f = u + -807. Is f a multiple of 3?
False
Suppose 122*w - 123*w = -8. Suppose -2*v = c - 83, 9*c + 4*v - 73 = w*c. Does 7 divide c?
False
Let x = -6257 + 9281. Is x a multiple of 144?
True
Let l = -121 + 133. Suppose -3*t + 328 = 2*h, 4*h + 5*t - 664 + l = 0. Let z = h + -94. Is z a multiple of 44?
False
Let h = -10909 + 25413. Is 148 a factor of h?
True
Let y = 682 - -24863. Does 65 divide y?
True
Let h = -34 - -30. Is 31 a factor of ((-2)/h)/((-4)/3392*-2)?
False
Suppose -30 - 104 = -2*s. Suppose -4*o + 1088 = 2*r, -r - s = o - 338. Does 21 divide o?
True
Suppose -2*x = -4*x - 5*u - 5, 2*x - 4*u - 22 = 0. Suppose 4*q - p = -0*p + 46, 3*q - 46 = -x*p. Is (306/(-15))/(q/(-80)) a multiple of 34?
True
Let w = -1442 - -2307. Suppose -428 = -o + s, -2*o + 7*s = 2*s - w. Does 13 divide o?
False
Suppose -31*o - 14410 - 10590 = -51*o. Does 125 divide o?
True
Let b(m) = 216*m**2 - 2*m - 2. Suppose -4*z - 12 = 8*z. Is 24 a factor of b(z)?
True
Let w(o) = o + 3*o - 5*o - 19. Let c be w(-7). Let s = 120 + c. Is s a multiple of 12?
True
Let i(v) be the third derivative of v**6/120 - v**5/15 - 11*v**4/24 + v**3/6 - 10*v**2. Let b be i(6). Suppose b*x - 98 = -28. Is 3 a factor of x?
False
Is (-4)/6 - 4*(-11)/(-99)*-16233 a multiple of 6?
False
Let t = 221 - 194. Suppose 21*w - t*w = -84. Does 14 divide w?
True
Suppose 0 = -341*y - 56635 + 862418. Is y a multiple of 5?
False
Let y be 2030/(-56) - ((-2)/8)/1. Let m = -33 - y. Suppose i - 231 = -4*g, -m*g = -8*i + 4*i - 178. Is 8 a factor of g?
False
Let k(g) = -2*g**2 + 75*g - 1. Let z be k(35). Suppose 0 = -15*c - z + 1089. Is c a multiple of 13?
False
Let o = -272 - 169. Let h = o + 509. Is 34 a factor of h?
True
Suppose -3*y + 1244 = 4*o, o + 3*y - 7*y = 292. Let j be (-969)/19*4/(-6). Let t = j + o. Is 57 a factor of t?
True
Let d = -1691 + 3214. Is 35 a factor of d?
False
Let d(s) = 6*s**2 + 82*s - 5392. Is d(-77) a multiple of 18?
True
Let x = 53 + -58. Let v(a) = -5*a - 18. Let o be v(x). Suppose 0 = -o*b + 269 + 32. Is b a multiple of 4?
False
Let i = 882 + -94. Is 42 a factor of -3 + i + -1 + 3?
False
Let y be (-20 + 28)*(-1)/((-4)/(-5)). Let i(h) = 4*h + 52. Let r be i(y). Suppose x - r*x + 792 = 0. Is 12 a factor of x?
True
Let f be 9/3*(-3)/(-3). Suppose 0*u + 3*c = 2*u - 89, -c + 161 = f*u. Let l = 100 + u. Does 38 divide l?
True
Suppose 371*n = 601*n - 295*n + 1234220. Is n a multiple of 94?
True
Let f = 340 + -145. Let y = -23 - -21. Is 615/f + y/13 even?
False
Let b = -16165 - -34309. Does 252 divide b?
True
Suppose 5*l = -5, x = -3*x + 5*l + 657. Let g = x + -116. Does 13 divide g?
False
Does 73 divide -17338*1/(-6)*(-1 - (19 + -23))?
False
Is 2518/8 - (3 + 247/(-76)) a multiple of 5?
True
Suppose 0 = 8*h + 116 - 28. Let b(i) = -5*i + 55. Is 10 a factor of b(h)?
True
Let s(z) = 1396*z + 4522. Does 7 divide s(37)?
False
Suppose -34*b + 26306 = -129647 - 338407. Is b a multiple of 30?
False
Let q be ((-2)/4*(27 + -27))/(-1). Suppose 2317 = 3*k + n, q = 5*k + n - 0*n - 3861. Is 13 a factor of k?
False
Let m = 104 + -88. Let k be (-1774)/(-6) - m/(-48). Suppose -k = -4*w - 4*j, 3*w - j - 228 = 2*j. Is 25 a factor of w?
True
Suppose 6*a - a + 10 = 0. Let j(m) = 2*m + 3. Let l(z) = 45*z + 7. Let u(y) = 4*j(y) - 2*l(y). Is u(a) a multiple of 18?
True
Let n = -6739 + 10839. Suppose 0 = 4*k - b - n, 1359 = k - 4*b + 319. Does 16 divide k?
True
Suppose -18*x = 42*x - 408660. Is 25 a factor of x?
False
Let x(o) = -1199*o - 26. Let h be x(-4). Let u be 2/6*h/2. Suppose 8*y = -155 + u. Is 16 a factor of y?
True
Suppose 4 = j + 14. Let d = 90 - j. Is d a multiple of 10?
True
Let f(s) = s + 319. Let u be (-1 + 1)*1/2*-2. Let d be f(u). Suppose 10*z - d = -z. Is z a multiple of 15?
False
Let y(b) = -197*b - 1668. Is y(-10) a multiple of 2?
True
Suppose 10*t - 30430 = -7*t + 7*t. Is 4 a factor of t?
False
Let q(o) = 111*o - 89. Let h(n) = -226*n + 177. Let x(s) = -4*h(s) - 9*q(s). Is 15 a factor of x(-14)?
False
Let q(f) = 43*f**2 + 36*f - 179. Does 21 divide q(16)?
False
Let f be 6*6/(-24)*152/(-6). Suppose j + 33 = f. Suppose -j*g + 2*w - w = -390, 3*g + w = 226. Is g a multiple of 9?
False
Let p = 34 - 12. Suppose -p = -5*a + 58. Let q = 3 + a. Is 2 a factor of q?
False
Suppose -4*a + 3*a - 8*a = 0. Suppose 2*h - k - 11 = a, h + 19 = 5*h - 5*k. Does 34 divide ((-10)/h)/((2/(-84))/1)?
False
Let v be (-1)/(-11) + -3*(-177)/(-33). Is 14 a factor of (v/24)/(-1 - (-4629)/4635)?
False
Let l be (205 - 0 - -1)*(-5)/10. Let x = -90 - l. Is x a multiple of 2?
False
Let b be 30/(-72)*-44 + (-1)/3. Let o(l) = -15*l**2 + b - 5*l - 14*l**2 - 11*l**2 + 44*l**2. Does 28 divide o(5)?
False
Suppose 1556*w = 1593*w - 580234. Is w a multiple of 95?
False
Let c = -1926 - -5536. Does 4 divide c?
False
Suppose 3*d + 383 = s, d = s - 3*s + 780. Suppose 2*w = -3*b + 1097, 10*b = -w + 14*b + 576. Suppose 7*x - w = s. Is 27 a factor of x?
True
Let c = 245 + -127. Let p = c - -134. Suppose -d + 3*z = -61, 3*d - p + 49 = 5*z. Is d a multiple of 19?
True
Let o = 16034 - 15945. Is 3 a factor of o?
False
Let g(h) = 26*h**3 + 3*h + 2. Let d be g(-1). Let o = 31 + d. Let k(s) = 13*s + 2. Is 23 a factor of k(o)?
False
Suppose -w + 5*k + 2794 = 0, 2*w - k - 3493 = 2095. Is w a multiple of 10?
False
Let d = -2 - -17. Suppose -13*c + d*c = 298. Let h = -85 + c. Is 16 a factor of h?
True
Let p be 3/(-27) + (-31605)/(-135). Suppose 9*w - 11*w = -p. Does 9 divide w?
True
Let a(r) = -293*r + 14932. Is a(-80) a multiple of 181?
True
Suppose 0 = 3*k + 6, 127*d - 18950 = 125*d - 5*k. Does 20 divide d?
True
Suppose 5191008 = 261*t + 120*t + 664728. Is t a multiple of 120?
True
Let o be (-2)/(40/(-15) + 2). Let w(u) = 0*u**o + 16*u - 12*u**2 - 23*u - 18 - u**3. Is 8 a factor of w(-12)?
False
Let t be -24*39/(-6)*(-64)/(-24). Suppose -6*p + 22*p = t. Suppose -33*g = -p*g - 231. Is g a multiple of 33?
True
Let i(a) = -13*a - 29. Let u be i(-6). Let o = u + -53. Let v(f) = -f + 2. Is v(o) a multiple of 3?
True
Let j(m) = 43*m**3 + 5*m**2 - 19*m - 7. Does 21 divide j(5)?
False
Let z = 38298 - 24278. Is 38 a factor of z?
False
Suppose -1101 = 297*z - 300*z. Let h = z - -39. Does 6 divide h?
False
Suppose -2*z = -3*f - 21, -f + 4*z - 9 = 8. Is 16 a factor of 202 - -6 - ((-2 - f) + 1)?
False
Suppose -458500 = 1733*x - 1758*x. Does 20 divide x?
True
Does 17 divide 34*7*(-2811)/(-42)?
True
Suppose 4*u = 2*m - 34, 4*u + 16 = 4*m - 36. Suppose 7*c + m*c = 1072. Suppose c*s - 71*s + 1364 = 0. Is 54 a factor of s?
False
Suppose 5*g + 8093 = h, 0 = 5*h + 261*g - 264*g - 40311. Is h a multiple of 79?
True
Let w(g) = -g**3 + 3*g**2 - 5*g + 8. Let x be w(4). Let r be 940/x - (-6)/(-14). Let c = 0 - r. Is 8 a factor of c?
False
Let g(q) = -9*q + 28*q + 3 - 152 + 18. Is 3 a factor of g(11)?
True
Suppose -285*z = -295*z + 80. Is z - 12 - (-7 - 0) - -578 a multiple of 47?
False
Let w(a) = -16*a**2 - 103*a + 51. Let t be w(-13). Let p(c) = -20*c + 2. Let v be p(3). Is (t/5)/(-3) + v/(-145) a multiple of 11?
True
Suppose 0 = 17*n - 49355 - 154628. Is n a multiple of 169?
True
Let n(i) = 16*i**2 + 4*i - 5*i + 4*i + 7. Suppose 9*h + b + 13 = 5*h, 8 = -3*h | {
"pile_set_name": "DM Mathematics"
} |
8?
-12061403
26023536 (base 7) to base 8
10777453
Convert -3552593 (base 10) to base 13.
-975035
11303012320 (base 4) to base 6
52325144
542a5 (base 11) to base 14
20a6a
What is 320115 (base 6) in base 3?
1022121202
Convert b47c00 (base 13) to base 9.
7835074
What is -1021121000020 (base 3) in base 16?
-a63bc
Convert -811336 (base 12) to base 3.
-10210022010120
Convert 310512142 (base 7) to base 2.
1000101011100100111011011
Convert 3608880 (base 9) to base 4.
13131111201
What is -3483926 (base 12) in base 16?
-9a816e
What is 73b5b8 (base 13) in base 3?
12002200021120
Convert -650306 (base 7) to base 15.
-23735
What is -1882648 (base 12) in base 6?
-302152132
-18bc68 (base 14) to base 13
-2496c7
925c3 (base 14) to base 15
6e623
What is -100011010001010100 (base 2) in base 16?
-23454
What is a654ad (base 15) in base 16?
78c7ae
Convert 530303 (base 9) to base 6.
10431050
What is -42252233 (base 6) in base 12?
-4b7079
-101302410 (base 6) to base 9
-3256716
Convert -24002240 (base 5) to base 6.
-4410114
What is -23312122 (base 7) in base 8?
-7652746
What is -1469220 (base 10) in base 3?
-2202122101120
What is -4332176 (base 8) in base 7?
-12601565
-6244452 (base 8) to base 10
-1657130
Convert 16a9300 (base 11) to base 16.
2c32eb
What is 311024311 (base 5) in base 16?
135700
Convert 6074 (base 15) to base 12.
b947
What is -10001000010011010000 (base 2) in base 5?
-120331123
-3b5816 (base 13) to base 14
-296d02
Convert 735458 (base 14) to base 3.
21022212101101
258733 (base 12) to base 16
96717
Convert -10301123 (base 4) to base 7.
-110663
-1340125 (base 6) to base 7
-432206
-1ca276 (base 15) to base 6
-50010550
-340523 (base 8) to base 6
-2244311
-24c975 (base 16) to base 7
-26330526
Convert -2afa00 (base 16) to base 15.
-3a97c7
Convert -100110101010101100 (base 2) to base 13.
-57121
What is -16de9 (base 16) in base 6?
-2001401
What is 2212122001 (base 3) in base 16?
dd11
100112011102220 (base 3) to base 14
95a94c
-102112000 (base 3) to base 13
-3a8c
21455221 (base 7) to base 4
13002220210
183479 (base 10) to base 6
3533235
What is 419961 (base 13) in base 10?
1535106
131535324 (base 6) to base 7
31120324
Convert -432122 (base 7) to base 11.
-51538
Convert e1f61 (base 16) to base 15.
134377
Convert 566650 (base 7) to base 6.
2054444
Convert 233424341 (base 5) to base 13.
2b91b4
38558 (base 10) to base 14
100a2
What is 1284745 (base 9) in base 12?
2a037b
What is -3321221 (base 4) in base 2?
-11111001101001
Convert 4373064 (base 8) to base 5.
300132030
What is 453395 (base 13) in base 10?
1635197
What is 18575d (base 16) in base 14?
2d74cd
What is -5a348 (base 11) in base 2?
-10101001110010010
-8c8986 (base 14) to base 13
-cb80bc
111430433 (base 5) to base 16
79cb4
Convert -120212022010 (base 4) to base 2.
-11000100110001010000100
Convert 3a18b (base 16) to base 2.
111010000110001011
260ef4 (base 16) to base 8
11407364
What is 10232000031 (base 4) in base 16?
12e00d
54011311 (base 6) to base 5
401303211
What is 321226 (base 9) in base 13?
69036
Convert -bb5c6 (base 15) to base 16.
-9156f
2703558 (base 9) to base 8
5510326
-11001011110011111111 (base 2) to base 16
-cbcff
What is 227336 (base 9) in base 5?
13332344
-2554350 (base 6) to base 16
-2219a
Convert 10936 (base 13) to base 10.
30127
Convert 871180 (base 9) to base 4.
1332300201
41c8e (base 15) to base 6
4250125
What is 500550254 (base 6) in base 4?
200031122122
-100011100010100000 (base 2) to base 6
-3041532
Convert 151245121 (base 6) to base 9.
5826884
2301126 (base 8) to base 6
21205050
1002371 (base 8) to base 15
530b2
What is -5745100 (base 10) in base 16?
-57a9cc
Convert -133455523 (base 6) to base 4.
-22102300023
Convert 3143551 (base 6) to base 7.
1210234
Convert -1104478 (base 10) to base 16.
-10da5e
2c95b (base 13) to base 5
10210313
-10303224103 (base 5) to base 8
-51735423
Convert 14515360 (base 8) to base 13.
8c1708
What is -148318 (base 11) in base 13?
-80c9c
What is -22515164 (base 9) in base 15?
-e5ec5a
Convert -30122121000 (base 4) to base 7.
-36441240
-135465 (base 7) to base 12
-13040
-386004 (base 11) to base 15
-c0366
What is -43347 (base 10) in base 2?
-1010100101010011
Convert 311541 (base 8) to base 16.
19361
Convert 10514437 (base 9) to base 16.
4da331
-110110001011010 (base 2) to base 5
-1341423
Convert -25407 (base 10) to base 4.
-12030333
What is -20301411 (base 5) in base 8?
-503740
Convert 1011102445 (base 6) to base 14.
15509c1
-31122310201 (base 4) to base 16
-35ad21
-11202221221 (base 3) to base 11
-646a6
-1176205 (base 8) to base 3
-121121021022
Convert -401256 (base 9) to base 10.
-237138
What is 1144551 (base 7) in base 14?
3b161
-2632107 (base 8) to base 3
-1101022020112
-1010011101111011111010 (base 2) to base 13
-751005
Convert -ba25 (base 15) to base 10.
-39410
256a84a (base 13) to base 7
201326610
Convert -211101222022 (base 3) to base 13.
-125981
What is 1350552 (base 6) in base 16?
12b84
4632631 (base 8) to base 10
1258905
What is -71f788 (base 16) in base 3?
-112001110110021
Convert 20112100000 (base 4) to base 11.
1265103
What is -2155584 (base 9) in base 10?
-1158862
1133651 (base 7) to base 4
202322222
Convert 20c410 (base 15) to base 4.
11330321211
What is 10132 (base 5) in base 8?
1233
225651 (base 9) to base 15
2a1b7
What is -7a692 (base 12) in base 8?
-477116
What is -3222200302 (base 4) in base 3?
-1210210122101
365514 (base 9) to base 5
24024301
Convert 283fd (base 16) to base 13.
5a068
-14833 (base 13) to base 5
-2214433
-413232 (base 9) to base 5
-30321020
Convert 90a5b (base 12) to base 2.
101101111011100111
Convert -145d66 (base 14) to base 11.
-4438a7
Convert 4207656 (base 9) to base 2.
1000100101001100011110
10001001010100100100001 (base 2) to base 7
53150535
98bc8 (base 16) to base 15
c5573
Convert -1e255d (base 15) to base 12.
-5b2274
Convert 20233131 (base 4) to base 15.
a920
Convert -1305561 (base 7) to base 9.
-278260
What is 3323212302 (base 5) in base 16?
6e7f69
-264786 (base 12) to base 7
-5233014
What is 105010442 (base 6) in base 12?
783a22
-133232130 (base 5) to base 8
-2460542
-884b14 (base 13) to base 2
-1100001111100100011000
Convert 2bc79 (base 15) to base 4.
202132011
-10010010010111 (base 2) to base 12
-5507
What is -216342613 (base 7) in base 2?
-110010000011001000110110
-232354 (base 7) to base 12
-20161
Convert 143413034 (base 5) to base 11.
481709
-4092b (base 15) to base 10
-204566
What is -12dcb0 (base 14) in base 13?
-19b1c0
20231303002 (base 4) to base 12
92222a
Convert 398b1 (base 16) to base 9.
388275
What is -27a78 (base 13) in base 7?
-426406
-1012021110 (base 4) to base 5
-33143231
12160440 (base 7) to base 15
1680a3
57c85 (base 15) to base 12
11595b
What is -1744266 (base 9) in base 10?
-974166
-51b98 (base 12) to base 11
-73521
721523 (base 9) to base 5
102140440
What is 550a9 (base 11) in base 15?
18a6e
Convert 114112 (base 12) to base 9.
461425
What is 14862343 (base 9) in base 7?
120042105
648961 (base 11) to base 8
3750602
Convert 233101022 (base 4) to base 10.
193610
What is 103102301023 (base 4) in base 7?
60663136
535240412 (base 6) to base 2
100100001101011001011000
Convert -b5132d (base 14) to base 5.
-3031032032
What is -313023212 (base 4) in base 12?
-aa972
e6b41 (base 15) to base 4
2302212100
What is -1103132310 (base 4) in base 11?
-2139a5
What is -1324121 (base 5) in base 13?
-c266
What is -340003 (base 13) in base 11?
-769789
4343c (base 16) to base 15
5697b
Convert -2142113321 (base 5) to base 3.
-22201222111222
13304100 (base 5) to base 4
200323310
What is 1173275 (base 9) in base 13?
194a11
Convert -7748 (base 12) to base 4.
-3031220
What is c16ab (base 14) in base 13?
1338b1
What is -991ee (base 15) in base 4?
-1312300301
What is 1451156 (base 8) in base 13?
116778
What is -12010020110 (base 3) in base 5?
-11211101
-2273570 (base 8) to base 14
-12214c
110000100000101001 (base 2) to base 12
96ba1
Convert -635220 (base 8) to base 14.
-57184
Convert 3252c2 (base 13) to base 16.
120b12
-582945 (base 10) to base 5
-122123240
What is -40315 (base 13) in base 7?
-655414
Convert 11737101 (base 9) to base 4.
111330130231
Convert 5712984 (base 10) to base 2.
10101110010110001011000
Convert -240405 (base 8) to base 11.
-56820
136073 (base 8) to base 13
18c19
2456960 (base 10) to base 12
9a5a2 | {
"pile_set_name": "DM Mathematics"
} |
14319. Is u a composite number?
True
Let z be (-17731)/(-21)*(-5 + 35). Suppose 6*s - z = -3472. Is s a prime number?
True
Suppose -157*v = 15*v - 31580060. Is v a prime number?
False
Suppose -57*f = -55*f - 18. Suppose f*o - 104347 + 13456 = 0. Is o prime?
True
Let v = -5037 + 3030. Is (-5)/(10 + -20) + v/(-6) prime?
False
Suppose -4*t = -3*j - t + 27, t + 13 = 2*j. Let o be 2*(-3 - -1*16). Suppose j*m - o - 122 = 0. Is m prime?
True
Suppose 33*j + 2279357 = 10771346. Is j a prime number?
False
Let z be (20/(-15) - -1)*-15. Let s = 143 - 140. Suppose -7*o + 5865 = -3*o - d, -z*o + s*d + 7333 = 0. Is o composite?
True
Suppose 0 = 69*r - 2709934 - 503603. Is r composite?
False
Let r = -39174 + 192941. Is r prime?
False
Suppose 0 = -7*c + 5*c + 14. Let b(a) = a**2 + 1 - 11*a + 47*a**2 + 12 + c. Is b(11) composite?
True
Suppose 117379 + 21 = 10*h. Suppose -4*z - 16*z = -h. Is z a prime number?
True
Let q(j) = 564*j**2 + 42*j - 89. Is q(2) a prime number?
True
Is -25 + 1 - (-1251 + -14896) composite?
True
Suppose -12*f + 947531 + 4545937 = 0. Is f composite?
False
Let m = -5 + 9. Is (5945/20)/(((-2)/(-2))/m) a prime number?
False
Let t be 1/(-2)*(2 + -10). Suppose 3*n = n + 3*d + 512, -5*n = -t*d - 1273. Is n a prime number?
False
Suppose -5*x - 4*w = -9886, -4*w - 6526 - 1390 = -4*x. Let g = 2855 - x. Is g composite?
False
Let b(z) = 5768*z - 423. Is b(7) composite?
False
Suppose -v + 4*v = 12. Suppose 0 = l - 4*p + 3*p + 7, 0 = -2*l - v*p + 10. Is (-1)/l + (-4010)/(-3) composite?
True
Suppose -1282142 = -49*u - 215461. Is u composite?
True
Let b(i) be the third derivative of -1/4*i**4 + 16*i**2 - 1/60*i**5 - 7/6*i**3 - 11/120*i**6 + 0 + 0*i. Is b(-2) prime?
True
Suppose 26*r - 24*r = -4*a + 74948, -4*r = -12*a + 224844. Is a a prime number?
False
Suppose 2 = -4*h + 22. Suppose 3*s = -k + 13, -5*k + 17 - 8 = s. Suppose 5*j - s*d = 6579, -h*j + 2*d = -d - 6583. Is j composite?
False
Let i be 2/(-9) - 2*316/72. Let k be 22/10 - i/(-45). Suppose -2*d - 13 + 5 = 0, -k*b + 1574 = -d. Is b prime?
False
Let g = -345892 - -491883. Is g composite?
False
Let y(s) = 3*s**2 - 25*s + 13. Let b be y(8). Suppose -34 = -5*w + 3*w + b*z, 0 = w - 5*z - 22. Suppose 0 = -w*h + 16*h - 1484. Is h a composite number?
True
Suppose 120265 = 3*a - 5*k, -4*k = a + k - 40115. Is 1/(a/(-10025) - -4) a composite number?
True
Let r = -8083 + 13554. Is r a composite number?
False
Suppose -3*h = 4*y - 18236, -2*y - 2*y = -3*h + 18196. Let o = -436 + h. Suppose a - 6 = 4*a, 2*z + 5*a = o. Is z a prime number?
False
Suppose -30*m + 254031 = 2*i - 31*m, 2*m = -10. Is i prime?
False
Suppose 131*a = 136*a - 15. Suppose -a = 4*v - 5*v. Is 6641/v + (-52)/(-39) a composite number?
True
Let h be 10163*4 + (-70)/10. Suppose 3*m - 2*u = h, -2*m + 27097 = -2*u + u. Is m prime?
False
Let n(k) = -1429*k + 120. Let o be n(-6). Let d = 6697 + o. Is d a composite number?
False
Let n be (-39)/5 - (-3)/(-15). Let q be ((-60)/8)/(12/n). Suppose -4*b + z + 2*z = -2815, -698 = -b - q*z. Is b a prime number?
False
Let u be 2286 + -5*(0 - 1). Suppose 5*j - 11384 - u = 0. Is j a prime number?
False
Let g = 42 + -42. Suppose 0 = -g*x + 4*x. Let o(b) = b**3 - b**2 + 319. Is o(x) composite?
True
Suppose -1685597 = -8*u - 3*y, 5*y - 62 + 27 = 0. Is u a prime number?
False
Suppose 23*d - 28 - 18 = 0. Suppose 3*h - 20917 = -d*x, 3262 = 2*h - 5*x - 10670. Is h prime?
True
Let r = 435644 + -134333. Suppose -455*v = -464*v + r. Is v prime?
True
Suppose -20*l = -31*l + 1263141. Let h = l - 71926. Is h composite?
True
Let k(u) = 3*u**3 - 13*u**2 - 10*u + 3. Let c be k(5). Suppose 3*i - 72088 = 7*y - 12*y, c*y + 72096 = 3*i. Is i composite?
True
Let x be (-4*419)/(10 - (-210)/(-20)). Suppose x = 5*z - 2083. Is z composite?
False
Let d(h) be the first derivative of 446*h**3/3 - 21*h**2 + 203*h + 216. Is d(6) prime?
True
Suppose -7*h = 21*h - 10581004. Is h prime?
False
Suppose v = -2*j + 154, -8*v = -6*v - 2*j - 302. Let c = 267 - v. Suppose 3*u - c - 62 = 0. Is u prime?
True
Suppose 13124 = 4*c - 5*u, -5*u + 12547 - 2669 = 3*c. Let m = c + -2250. Let f = -495 + m. Is f a composite number?
False
Let l = 119747 + -79464. Is l a composite number?
False
Let i = -23 - -3382. Is i a prime number?
True
Let f = 907 - -2020. Is f a prime number?
True
Let n = -83145 + 126240. Suppose -n = -30*p + 8175. Is p a prime number?
True
Suppose 3*y - 2*g = 21, -5*g + 3*g = 2*y - 14. Suppose -2*x - y + 15 = 0. Suppose -6 = 3*l, -2*l = x*h - 511 - 1297. Is h a prime number?
False
Let h(n) = n + 27. Let g be h(-14). Let z(o) = -o + 16. Let x be z(g). Suppose -x*d + b + b + 1889 = 0, 3*b = -3*d + 1899. Is d a composite number?
False
Suppose -1091*m = -1104*m + 29003. Is m a composite number?
True
Suppose 6 = 3*m, 2*m = 4*f - 0*f - 8. Suppose -4*w = -f*s + 1441, w + 1174 + 743 = 4*s. Is s composite?
False
Let n be (-1495 - 13)/((-15)/(-6) + -2). Let x = 53675 + n. Is x a prime number?
False
Suppose 9*c - 2*c + c = 67880. Is c a composite number?
True
Suppose -2*q + 34588 = -8840. Let v = q + -15041. Is v composite?
False
Suppose n + 23 = 2*h - 38, 5*h = 3*n + 150. Suppose -h = -3*j + 9. Is 7/(j/830) - -4 a prime number?
True
Let d be (2/5 - 1)/(214/(-4280)). Suppose d*w + 5*w = 62747. Is w prime?
True
Let y(r) = 3*r**3 + 92*r**2 + 282*r - 58. Is y(-23) a composite number?
False
Let c = 20 + -13. Suppose -43652 = -0*f - c*f. Suppose 6*j - 10*j + f = 0. Is j a prime number?
True
Suppose 0 = -4*i + 5*p + 14, 4*i - 1 + 3 = -3*p. Suppose 0 = -a + i, -5*c + 9*a + 2227 = 6*a. Is c a prime number?
False
Suppose 3*g - 12801 = -3*q, q - 10993 = -3*g + 1814. Suppose 0 = 2*v + 2*x - 16228, -5*x = 4*v - 28183 - g. Is v composite?
False
Suppose 0 = -2*y - 56*a + 51*a + 12273, 0 = -5*y - 5*a + 30690. Is y a composite number?
True
Let u = 7987 + -17144. Let w = -5506 - u. Is w prime?
False
Let m = 486457 - 272058. Is m composite?
False
Suppose 2*c + 3*u - 9 = 0, -2*c + 5 = 5*u - 10. Suppose c*t - 3*q + 93 = t, 4*t + q = 339. Let g = 489 + t. Is g a prime number?
False
Let l(z) = z**3 + 4*z**2 + 3*z - 4. Let i be l(-3). Let s be (-22)/(-8) - (-3)/i. Suppose -2*v = -s*f + 612, v - 480 = -3*f + 422. Is f a prime number?
False
Suppose 3*l - 7850 = -3*v - 98, -3*l + 7749 = 4*v. Suppose 438 - l = -7*i. Is i prime?
True
Suppose -32 = -9*t + 4. Suppose 0*n - 23 = -n + t*y, -2*n = -y - 11. Suppose -c + 0 + 4 = 0, -2*c = n*l - 2255. Is l a prime number?
False
Let x = 34 - 30. Suppose 4*w - 2812 = 2*w + 3*d, -x*d = -3*w + 4217. Is w a prime number?
False
Suppose -1170*w - 9233497 = -2358*w + 1175*w. Is w a composite number?
True
Suppose -2*c - c - 42515 = -5*r, -2*r + 17020 = -4*c. Let b = r + -16160. Is (3/(-4))/(5/b) composite?
True
Let r = 2206 + 28291. Is r prime?
True
Suppose 9348038 = 113*w + 188*w - 10389435. Is w a composite number?
True
Suppose 120*g + 3*c - 576474 = 117*g, -3*c = g - 192152. Is g prime?
True
Let u = -137944 - -349503. Is u composite?
False
Suppose -4*u = 20, 2*t + u = 19 + 28. Suppose 19*n - t*n + 22085 = 0. Is n a prime number?
False
Suppose 4*k + g = 388088, -49*g + 485113 = 5*k - 47*g. Is k a prime number?
True
Suppose 58*j - 88723 = 41*j. Suppose j + 22499 = 2*c. Is c prime?
True
Let u be 2/4*-4*9/(-6). Let a be ((-1)/u - -1) + 10928/(-3). Let h = a - -5399. Is h prime?
False
Let w = -158974 - -379979. Is w composite?
True
Let h = -293 + 293. Suppose v = h, -4*m + 55869 = -m + 5*v. Is m prime?
False
Suppose -q = -z - 8, 19*q + z - 10 = 17*q. Let n(r) be the first derivative of r**4/4 + 7*r**3/3 + 2*r**2 + 5*r - 6. Is n(q) a composite number?
True
Suppose 0 = -i - 5*a - 6689 - 5541, -i - 12245 = 2*a. Let l = i + 27440. Is l a composite number?
True
Let f(g) = 1104*g**2 + 339*g + 1. Is f(-20) a composite number?
False
Let d be (-75)/(-225)*(0 + 69). Let s(j) = -j**2 + 49*j - 7. Is s(d) prime?
False
Suppose 20*j + 0*j = 1040. Suppose -9822 = j*w - 58*w. Is w prime?
True
Let l = 36327 - 15058. Is l a composite number?
False
Suppose 4*n - 3*c - 33 = 0, 4*c = -18*n + 50*n - 124. Suppose 3*b + 15 = 8*b. Is 6 - b - (n - (1168 + -3)) prime?
False
Let q = 2028897 - 1348138. Is q prime?
True
Suppose 0 = 34*w - 1360829 - 6626349. Is w a composite number?
False
Suppose 0 = -100*q - 39*q + 11782057. Is q a composite number?
True
Let g be (189/ | {
"pile_set_name": "DM Mathematics"
} |
*y**2 + 171*y**3 to x*y + d*y**2 + u + l*y**3 and give l.
491
Rearrange 6*j**2 + j**3 - 3 - 3*j**3 + 0*j**2 + 2*j - 11*j**2 + 4*j**2 to the form v*j**3 + d*j + r*j**2 + z and give z.
-3
Rearrange (2 - 11*a - a**2 + 163*a**3 - 8 - 165*a**3)*(-1 + 1 + 2*a) to f + u*a**4 + p*a**2 + m*a**3 + i*a and give u.
-4
Express 7 - 8 + 3*v**2 + v**4 + 4 - v as u*v + p*v**3 + t + m*v**4 + w*v**2 and give w.
3
Express 3 + 4 - 1 + 1 + 4*d in the form y*d + g and give g.
7
Rearrange -35 - 28 + 96 + 195*m - 33 to x + h*m and give h.
195
Rearrange 7*v - 2*v**2 + 3*v + 9*v - 12*v to the form u*v + d*v**2 + y and give d.
-2
Express -q + 19 + 12 - 25 in the form o + b*q and give o.
6
Rearrange (414 - 67 - 94)*(4*z + z - 4*z)*(-2*z**3 + 3*z**2 - 3*z**2) to q*z + h*z**3 + u*z**2 + y*z**4 + j and give y.
-506
Express (-n**2 - n**2 + 5*n**2)*(-68 - 256 + 49)*(4*n + 3*n - 5*n) as o*n + g*n**2 + p*n**3 + c and give p.
-1650
Rearrange 8 - 2*j**4 - j + j**3 - 12*j**2 - 1 - 8 to the form k + z*j**3 + u*j**2 + x*j**4 + v*j and give z.
1
Rearrange -2*k - 19*k**4 - 24*k**4 + 2 + 44*k**4 - 2*k**2 + 3*k + k**3 to l*k**4 + a*k**2 + f + o*k**3 + w*k and give w.
1
Express 84*o - 198*o - 1911*o + 55*o - 462*o in the form b*o + n and give b.
-2432
Express -3*s**2 - s**2 - 16*s - 9*s**2 + 3*s**2 + 3*s**2 in the form f + y*s + a*s**2 and give y.
-16
Express 2*l**3 - 40*l**2 - 4*l**3 + 9 + 45*l**2 in the form n*l + u + v*l**2 + o*l**3 and give o.
-2
Express (-4*j - 2*j + 5*j)*(-9 - 38 + 19)*(4 + 3*j - 4) as s + l*j + k*j**2 and give l.
0
Express -1 + 1 + 1232*s - 1254*s as m + r*s and give r.
-22
Rearrange (d - 1 + 1 + (-2 - 2*d + 2)*(4 + 1 - 3) - 3 + 3 + 2*d + 80 - 195 + 43 - d)*(2 - 6 + 21) to the form w*d + v and give v.
-1224
Express 0 - 71*o**3 - 1 + 117*o**3 + o**4 in the form y*o**3 + i*o**4 + x*o + b*o**2 + q and give i.
1
Express 3 + 6 + 9*x - 3*x**4 - 3*x + 4*x**3 - 8 in the form i*x**2 + z*x**4 + p*x + a*x**3 + t and give z.
-3
Rearrange -309*q + 877*q + 3 - 291*q - 307*q to d*q + k and give d.
-30
Express (0 - 5 + 1)*(-3*k + k + 5*k)*((-2*k - 2*k + 6*k)*(-4*k + 4*k + 3*k) - 4*k + 4*k + 10*k**2) as j*k + u*k**3 + d + m*k**2 and give u.
-192
Rearrange (0*j**2 + j**2 + 4*j**2)*(-3*j + 4*j - 4*j + (1 - 3 + 4)*(-2*j + 4*j + 2*j)) to s*j**2 + b*j**3 + o + x*j and give b.
25
Express -145*c + 5*c**2 + 18*c**2 + 21*c**2 + 153*c in the form m + p*c + i*c**2 and give p.
8
Rearrange -2*o**2 + 12*o + o**2 - 1 - 3*o - 7*o to b + y*o + m*o**2 and give b.
-1
Rearrange -52*t + 17*t + 12*t + 7*t + 267*t**2 + 15*t to the form x*t**2 + i*t + a and give x.
267
Rearrange (-47*b**4 + 378*b**4 - 43*b**4 + 255*b**4)*(1 - 3 + 1) to v*b + n*b**4 + o*b**3 + d + z*b**2 and give o.
0
Rearrange 455*t - 85*t**2 + 247*t**2 - 82*t**2 - 79*t**2 to k + s*t**2 + f*t and give f.
455
Express -3*c**2 + 2*c**2 + 2*c**2 - 2729*c + 2729*c + 119*c**2 + (-7*c + 2*c + 3*c)*(0*c - c + 0*c) as i + a*c**2 + s*c and give a.
122
Express (2*c**2 + c**2 - 4*c**2 + c + 4)*(-340 - 359 + 783)*(-2*c + 6*c - 3*c) as j*c**3 + o*c + n + m*c**2 and give o.
336
Rearrange -27 + 16 - 53*v - 28 + 52*v to the form q + j*v and give q.
-39
Express -c**4 + c + 34*c**3 - 94522*c**2 + 94522*c**2 in the form v*c**4 + b*c + i*c**3 + x + y*c**2 and give v.
-1
Express c**3 + 1 - 2 + 30*c**2 + 9*c**2 + 2*c - 29*c**2 in the form v*c**2 + u*c**3 + p + m*c and give v.
10
Express 479*g**3 + 2*g - g + 138 - 2*g**2 + 3*g**4 - 479*g**3 in the form k + r*g**2 + x*g + y*g**3 + t*g**4 and give x.
1
Express 1 - t - 1 + (0 + 0 - 3)*(-t + 0*t - t) + (-3 - 1 + 3)*(-202 - 354*t + 202) in the form d + u*t and give u.
359
Express (0*i + 9*i + 3*i)*(-1 - 3 - 1) in the form r + l*i and give l.
-60
Express 310 + 35*d - 310 as c + y*d and give y.
35
Rearrange -237*j**2 - 166*j**2 - 573*j**2 to l*j + b + q*j**2 and give q.
-976
Rearrange -48*p + 70*p - 37*p + (2 - 3 - 2)*(-2*p - 3*p + 2*p) - 5 - p + 5 + 0 + 0 + 2*p to a + f*p and give f.
-5
Express (-2 + 0 - 1)*(-12 + 8*s + 12)*(1 - s - 1 + (-2 + 1 - 1)*(0*s + 5*s - 4*s)) as w*s**2 + b*s + o and give w.
72
Express -6*c**2 + 11*c**2 - 2*c**2 + c + (-23*c + 0 + 0)*(-2*c + 2*c + c) in the form v + q*c**2 + u*c and give q.
-20
Express 33*t - 35*t - 4*t**3 - 4 - 3 - 2*t**2 + 5 in the form g*t**3 + k + v*t + h*t**2 and give h.
-2
Express 91*l**3 - 24 - 185*l**3 - 2*l**2 - l + 0*l**2 + 92*l**3 as o + d*l**2 + g*l + p*l**3 and give g.
-1
Rearrange 23 + 2407*g + 16 + 15 - 54 to w*g + v and give w.
2407
Express (-6*k**2 - 4*k**3 + 6*k**2)*(-329 + 158 + 121)*(7 - 2 - 3) in the form m + t*k + l*k**3 + y*k**2 and give l.
400
Rearrange (518 - 1001 + 545)*(11*x**2 - 5*x**2 + 2*x**2) to k*x + w*x**2 + s and give w.
496
Express (3*f**2 - 5*f**2 + f**2)*(f**2 + f - f) + (16*f**3 - 43*f + 43*f)*(-13 + f + 13) in the form w*f**2 + o*f**4 + q*f**3 + b + a*f and give o.
15
Rearrange 2*d**3 - 4*d**3 + 1674 - 1352 + (4*d**3 - 6*d**3 + d**3)*(-1 + 3 - 3) to the form t*d**3 + i*d**2 + p*d + u and give u.
322
Express -9*d - 15*d + 23*d - d - 3*d - 2*d + 5*d - 2*d - 4*d - 2*d + 2 - 2 + (4 - 2 + 0)*(-d - d + d) - 3*d + 2*d - d in the form r + t*d and give t.
-14
Express 31*r**4 - 2*r**4 + 20*r**4 + (-2*r**2 - 4*r**2 + 5*r**2)*(4*r**2 + 0*r**2 - 3*r**2) as y*r**3 + p*r**4 + f*r**2 + l + t*r and give p.
48
Express 37*s + 41*s - 112*s + 2*s**2 + 34*s as w*s**2 + f*s + t and give w.
2
Express -307 + j**2 - 3*j**2 + 318 - 3*j**3 in the form x + t*j**2 + z*j + l*j**3 and give t.
-2
Rearrange (-1180*w - 509*w + 449*w - 434*w)*(-1 - 3 + 2) to the form i + t*w and give t.
3348
Express 86 + 31 - 115 - 144*d - 38*d as x + k*d and give k.
-182
Express 97*w**2 + w - 2*w - 127*w**2 in the form a + b*w + l*w**2 and give l.
-30
Rearrange -h - 45*h**2 - 74*h**2 + 35*h**2 + 4*h to i*h + f*h**2 + d and give i.
3
Express j**3 + 2*j**3 - 5*j**3 + (-1 + 1 - 8)*(-j**3 + 15 + 5*j - 6*j + 0*j) as z*j**2 + l*j**3 + f*j + p and give f.
8
Express 3*m**2 + 7*m**2 + 19*m**2 + 3 - 15*m**2 in the form k + w*m + y*m**2 and give k.
3
Express -199*v + 406*v + 65*v**2 - 208*v in the form a + z*v**2 + k*v and give z.
65
Express (-n + 1 - 1)*(6*n + 18*n - 4*n - n) as t + v*n + a*n**2 and give a.
-19
Rearrange -6*r - 258 - 265 + 526 to f + b*r and give b.
-6
Express 9*s**3 - 508*s - 1 - 508*s + 5*s**2 + 1514*s - 500*s in the form u*s**2 + z*s**3 + n + i*s and give z.
9
Express 479*v**2 - 100*v + 2*v**3 - 3*v**3 + 204*v - 104*v as w + q*v**2 + x*v + f*v**3 and give x.
0
Rearrange (-6*s**3 + 3*s**3 - s**3)*(-20*s - 74*s - 1103 + 1103) to i + v*s**3 + n*s**2 + f*s + o*s**4 and give o.
376
Express (3*m**2 + 2*m**3 - 3*m**2)*(22 + 2*m - m - 108) - 25*m**3 + m**4 + 25*m**3 as j*m**4 + r*m**3 + b*m + c*m**2 + z and give j.
3
Rearrange (4*v + 2*v - 4*v + (0*v + 0*v + v)*(-9 - 2 - 10))*((1 - 2*v - 1)*(v + 2*v - v) - 1 - 3*v**2 + 1) to the form k*v**3 + t*v + x*v**2 + r and give r.
0
Express (17*d - 5 - 81*d + 4)*(-3*d + 7*d - 3*d) + 2*d**2 - 9*d**2 - 6*d**2 in the form k + s*d**2 + g*d and give g.
-1
Express f - 26*f**3 - 99 - 90 + 189 + 6*f as a*f + p*f**2 + l*f**3 + w and give a.
7
Express 122*l + 3*l - 71*l - 350*l - 361*l in the form j*l + h and give j.
-657
Rearrange (0 + 0 + 2 + (-3 + 0 + 5)*(2 + 0 + 0))*(128*p + 104*p - 88*p + 29*p) to i*p + v and give i.
1038
Rearrange 2*w**2 - 2 + 6 + 2 - 16*w - 4*w**2 - 3 to p + l*w**2 + u*w and give l.
-2
Express -27 - 12 - 2*w**2 + 5 + 3*w**2 - 6*w**2 + 5*w**2 + (w - 3 + 3)*(0 - w + 0) as m + x*w**2 + v*w and give m.
-34
Express 108*m - 110*m - 3 + 4 + 0 as i + h*m and give i.
1
Rearrange (-3*p - 3*p + 4*p)*(-51 - 19*p**2 - 13 + 62) to y*p**3 + k*p + z*p**2 + t and give z.
0
Express -3*a**2 - 26*a + 1010 - 1012 - 12*a as r*a**2 + p*a + i and give p.
-38
Rearrange 9*b - 616*b**2 - 9*b - 24*b**2 - 264*b**2 to n + x*b**2 + u*b and give x.
-904
Rearrange 1303*x**3 + 22*x**4 - 1295*x**3 - 23*x**4 + x**2 - 3*x + 7*x to q*x**2 + b*x + s + j*x**3 + z*x**4 and give z.
-1
Rearrange -1 - 9*k**2 + 7249*k**4 - 7252*k**4 - 3 to the form s + w*k**2 + o*k + h*k**3 + d*k**4 and give w.
-9
Rearrange -6042*b**2 + 6040*b**2 + 0*b + b**4 + 8*b + 2 to h*b + w + z*b**3 + q*b**2 + y*b**4 and give h.
8
Rearrange -80334 + 322*j + 80334 - j - j + 3*j + (1 - 4 + 1)*(-2*j - 3*j + 3*j) + j + 3 - 3 + 5 - 5 - j to c*j + w and give c.
327
Express (-1 + 2*r + 1)*(1 - 30*r + 5*r**2 | {
"pile_set_name": "DM Mathematics"
} |
st 1000000.
-16000000
What is -47.59 rounded to the nearest integer?
-48
What is 455000 rounded to the nearest one hundred thousand?
500000
What is 338880 rounded to the nearest ten thousand?
340000
Round 73.761 to the nearest ten.
70
Round -41862 to the nearest 100.
-41900
Round 1124300 to the nearest 10000.
1120000
What is 0.7243 rounded to 2 decimal places?
0.72
What is 21854 rounded to the nearest 1000?
22000
Round -136.1 to the nearest ten.
-140
Round -581830 to the nearest ten thousand.
-580000
Round -1626000 to the nearest one hundred thousand.
-1600000
Round -25710000 to the nearest 1000000.
-26000000
What is -2400000 rounded to the nearest 10000?
-2400000
What is 1224 rounded to the nearest one hundred?
1200
What is -0.4648 rounded to 2 decimal places?
-0.46
Round 5330.9 to the nearest one thousand.
5000
Round 2414.8 to the nearest 1000.
2000
Round -9800 to the nearest one thousand.
-10000
Round -620200 to the nearest one hundred thousand.
-600000
What is 82.601 rounded to the nearest 10?
80
Round 78.9 to the nearest integer.
79
Round 4.854 to one dp.
4.9
Round -1.4398 to one decimal place.
-1.4
What is -257.3 rounded to the nearest 100?
-300
What is 0.0000004913 rounded to 7 decimal places?
0.0000005
Round -0.632 to 2 decimal places.
-0.63
Round -0.000003261 to seven dps.
-0.0000033
What is -140.62 rounded to zero decimal places?
-141
Round 0.020992 to three dps.
0.021
Round 422.6 to the nearest ten.
420
What is 970.5 rounded to the nearest 10?
970
What is -3535.6 rounded to the nearest 100?
-3500
What is 0.037018 rounded to 3 dps?
0.037
Round -0.040919 to 3 decimal places.
-0.041
What is 0.00000040778 rounded to 7 dps?
0.0000004
What is 0.00002704 rounded to six decimal places?
0.000027
What is 0.01758 rounded to three dps?
0.018
What is -0.0000004094 rounded to 7 dps?
-0.0000004
What is 1219020 rounded to the nearest 100000?
1200000
Round -2054.9 to the nearest ten.
-2050
What is 153.41 rounded to 0 dps?
153
What is -2211330 rounded to the nearest 100000?
-2200000
What is -0.010959 rounded to four dps?
-0.011
What is 28000 rounded to the nearest 10000?
30000
What is 646.1 rounded to the nearest 100?
600
Round 1.8468 to one dp.
1.8
What is -2714700 rounded to the nearest 100000?
-2700000
What is -10.2 rounded to 0 decimal places?
-10
What is 7.32 rounded to one dp?
7.3
What is -0.006553 rounded to 3 decimal places?
-0.007
Round 0.00000026 to six decimal places.
0
Round 0.0001797 to five dps.
0.00018
What is -4078250 rounded to the nearest ten thousand?
-4080000
What is 0.000774 rounded to four decimal places?
0.0008
What is -1066 rounded to the nearest 100?
-1100
Round 311550 to the nearest 100000.
300000
Round -0.000844 to 4 decimal places.
-0.0008
What is 6.5458 rounded to the nearest 10?
10
What is 62290 rounded to the nearest 100?
62300
What is 130.25 rounded to the nearest ten?
130
Round -0.797 to 1 decimal place.
-0.8
What is 697.5 rounded to the nearest 10?
700
What is -602.8 rounded to the nearest 100?
-600
Round 0.000993 to 5 decimal places.
0.00099
What is 4.31 rounded to the nearest 10?
0
Round 0.011271 to four decimal places.
0.0113
What is 347.82 rounded to the nearest 100?
300
Round -5.38 to one decimal place.
-5.4
What is 0.00000492 rounded to 6 decimal places?
0.000005
Round -0.00006102 to 6 dps.
-0.000061
Round 0.00000044883 to seven decimal places.
0.0000004
Round 16600 to the nearest 1000.
17000
What is 76.4 rounded to the nearest 10?
80
What is -0.1309 rounded to two decimal places?
-0.13
What is 0.99266 rounded to one decimal place?
1
What is -2.9159 rounded to 2 dps?
-2.92
What is -4267 rounded to the nearest one hundred?
-4300
What is 1.9639 rounded to two decimal places?
1.96
What is -60890 rounded to the nearest one thousand?
-61000
Round 3.5453 to one decimal place.
3.5
What is -0.000000639 rounded to seven decimal places?
-0.0000006
What is 291180 rounded to the nearest 1000?
291000
What is 31.188 rounded to the nearest integer?
31
What is 0.008655 rounded to 2 decimal places?
0.01
What is -0.00138385 rounded to 4 decimal places?
-0.0014
What is -0.00026432 rounded to 4 decimal places?
-0.0003
What is -0.0055201 rounded to 3 decimal places?
-0.006
What is -0.00000100143 rounded to 7 decimal places?
-0.000001
What is 4619.4 rounded to the nearest 10?
4620
What is -1.15592 rounded to 2 dps?
-1.16
What is -0.2598 rounded to two dps?
-0.26
Round -0.000004873 to 6 decimal places.
-0.000005
What is -0.008371 rounded to three dps?
-0.008
What is 0.0006691 rounded to four decimal places?
0.0007
What is 5.521 rounded to the nearest integer?
6
What is -3750000 rounded to the nearest 1000000?
-4000000
What is 2533 rounded to the nearest 10?
2530
What is 0.008686 rounded to 3 dps?
0.009
Round 3128000 to the nearest 1000000.
3000000
What is -1008.59 rounded to the nearest ten?
-1010
What is -0.000000267 rounded to 7 dps?
-0.0000003
What is 202640 rounded to the nearest 1000?
203000
What is 3.5011 rounded to 0 decimal places?
4
What is -266270 rounded to the nearest 1000?
-266000
Round 0.666 to zero dps.
1
What is -17900000 rounded to the nearest 1000000?
-18000000
What is 0.00000865 rounded to 6 decimal places?
0.000009
Round -0.0000041944 to six dps.
-0.000004
What is -72330 rounded to the nearest ten thousand?
-70000
What is 878.2 rounded to the nearest 10?
880
What is -0.0010672 rounded to four decimal places?
-0.0011
What is -260200 rounded to the nearest 1000?
-260000
Round 2.4571 to 1 dp.
2.5
What is 369774 rounded to the nearest one thousand?
370000
What is -0.000000414 rounded to seven decimal places?
-0.0000004
Round -0.0012775 to 4 decimal places.
-0.0013
What is 326.17 rounded to zero dps?
326
What is -76.6 rounded to the nearest 100?
-100
What is -0.0000179567 rounded to 6 decimal places?
-0.000018
Round -0.578 to the nearest integer.
-1
Round -0.0004931 to 4 decimal places.
-0.0005
What is -3.8813 rounded to one decimal place?
-3.9
Round -4907000 to the nearest 100000.
-4900000
Round 11.6199 to the nearest integer.
12
Round 365190 to the nearest 1000.
365000
What is -194.421 rounded to the nearest ten?
-190
Round 2299900 to the nearest 100000.
2300000
What is 1.37829 rounded to two decimal places?
1.38
Round 0.1126 to the nearest integer.
0
Round 0.00004506 to 5 dps.
0.00005
Round 196950000 to the nearest 1000000.
197000000
Round -147.06 to the nearest 10.
-150
What is -150200 rounded to the nearest 1000?
-150000
Round 113100000 to the nearest one million.
113000000
Round 19.5678 to the nearest integer.
20
Round 0.0121073 to 5 dps.
0.01211
What is -0.759 rounded to one dp?
-0.8
What is 189490 rounded to the nearest ten thousand?
190000
What is -0.0000282 rounded to six decimal places?
-0.000028
Round -0.000000400008 to seven dps.
-0.0000004
Round 5818.2 to the nearest 100.
5800
What is 2150.6 rounded to the nearest 1000?
2000
Round -12400 to the nearest 10000.
-10000
What is 203020 rounded to the nearest ten thousand?
200000
What is 127 rounded to the nearest 10?
130
Round 159.8 to the nearest 100.
200
Round 4.3256 to two decimal places.
4.33
Round -22.5184 to 1 decimal place.
-22.5
Round -0.001363 to 4 decimal places.
-0.0014
What is -4645920 rounded to the nearest 100000?
-4600000
What is -0.149125 rounded to 3 decimal places?
-0.149
What is -69.4 rounded to the nearest integer?
-69
Round -4.57 to 1 dp.
-4.6
What is 0.00000057037 rounded to seven dps?
0.0000006
What is 0.0000065236 rounded to seven decimal places?
0.0000065
Round 10.647 to one decimal place.
10.6
What is 163500 rounded to the nearest ten thousand?
160000
Round 0.069179 to three dps.
0.069
What is 56161000 rounded to the nearest 1000000?
56000000
What is 0.018322 rounded to 3 dps?
0.018
Round 0.0027882 to 5 dps.
0.00279
Round 0.0006 to 2 dps.
0
Round -1.06 to zero dps.
-1
Round 0.0120961 to three decimal places.
0.012
Round -0.00093118 to four dps.
-0.0009
Round -25568.9 to the nearest 100.
-25600
What is -0.0000056083 rounded to 7 dps?
-0.0000056
Round 1.083 to one decimal place.
1.1
What is 640900 rounded to the nearest 10000?
640000
Round -1008.8 to the nearest one hundred.
-1000
What is -2.955 rounded to zero dps?
-3
What is -0.000012093 rounded to 7 decimal places?
-0.0000121
Round -0.000057337 to six dps.
-0.000057
Round 158317 | {
"pile_set_name": "DM Mathematics"
} |
or 8?
8
Is 2580 < 7736/3?
False
Is -106518/5 at most as big as -21304?
False
Are -13.5039 and 1 non-equal?
True
Is -24/95 not equal to 13?
True
Which is smaller: 2 or 139/86?
139/86
Which is greater: 2 or 312055?
312055
Which is bigger: 106098 or 106096?
106098
Which is bigger: -479745 or -479746?
-479745
Which is smaller: 1/57 or -16.59?
-16.59
Are 333400 and 333399 non-equal?
True
Is 3355711/4 >= 838928?
False
Which is smaller: 1 or 56/15993?
56/15993
Is -85413 >= -85413?
True
Is 1002 <= 3242?
True
Which is greater: -5 or 46361?
46361
Which is bigger: -2029 or -34474/17?
-34474/17
Which is smaller: 1 or -2/11617533?
-2/11617533
Which is smaller: -1 or -75900?
-75900
Which is bigger: 1 or 1343/1178?
1343/1178
Which is bigger: -2592 or -2734?
-2592
Is 167/13562 != -1?
True
Which is smaller: 836105 or 836104?
836104
Is -534/17 at most as big as -57?
False
Is 841563 at least as big as 841564?
False
Which is smaller: -0.007 or -20/9?
-20/9
Does 0 = -113800?
False
Which is greater: 0 or -8/78073?
0
Are 75727/80 and 948 equal?
False
Are 97 and 5471 non-equal?
True
Which is greater: -23560 or -23557?
-23557
Is 90219 at most as big as 90219?
True
Which is greater: -7698 or 4?
4
Is -0.06 at least 136313?
False
Which is bigger: 1 or -1/1834692?
1
Is -5 < -666/169?
True
Which is greater: 1580547/4 or 395137?
395137
Does 0 = 2/9927197?
False
Which is smaller: 2980 or -20?
-20
Are 54 and 302 unequal?
True
Which is greater: -2363/4 or -592?
-2363/4
Which is smaller: -3 or -433/189?
-3
Which is greater: -57 or 2570?
2570
Which is greater: 2/3 or -530.5?
2/3
Is -0.27 greater than or equal to 149492?
False
Are 8 and 1306/179 non-equal?
True
Which is smaller: 47511 or 47509?
47509
Which is greater: -64858 or -64860?
-64858
Are 192350 and -2 nonequal?
True
Is 1/3597650 > 0?
True
Is -391811 > -391812?
True
Which is smaller: 385022 or 2310125/6?
2310125/6
Is -4844 >= -4790?
False
Which is smaller: 0 or 0.08894814?
0
Which is greater: 57 or 14796/265?
57
Which is smaller: -1662/163 or -11?
-11
Is 362 > 16651/46?
True
Is -1 greater than 3/71816?
False
Is -54182 smaller than -54212?
False
Which is smaller: -18643 or -18647?
-18647
Do 1 and 28/10931 have the same value?
False
Which is bigger: -1 or -2/195061?
-2/195061
Is 66256 greater than or equal to 66271?
False
Which is smaller: -1 or 2/321309?
-1
Which is bigger: 22309 or 22305?
22309
Is 2/81 less than or equal to 1825/2?
True
Is 38109 > 38124?
False
Do -731 and -9493/13 have different values?
True
Which is smaller: -1 or 11/153730?
-1
Is 828654/7 bigger than 118378?
True
Is -134402 less than or equal to -1/5?
True
Which is bigger: -1401/9007 or -1?
-1401/9007
Which is smaller: -120472 or -120470?
-120472
Is 1980 >= 1968?
True
Which is smaller: -4160/27 or -154?
-4160/27
Is -5500045 not equal to -5500046?
True
Is 839305 less than 839306?
True
Is 0.6 != -0.01905?
True
Which is smaller: -8576 or -8525?
-8576
Which is greater: 14661 or 14662?
14662
Is -1 at least as big as -1114/4865?
False
Is -1 < 5/23068?
True
Which is greater: 2/1957 or 0.04?
0.04
Which is smaller: -48598 or -48605?
-48605
Which is bigger: 164 or 3037?
3037
Which is smaller: 4 or 61/478?
61/478
Which is smaller: -15595 or -46786/3?
-46786/3
Is -742110 at most as big as 0.1?
True
Which is bigger: -1888 or -1884?
-1884
Which is smaller: 1112 or 676?
676
Is 7 at most as big as 4658/809?
False
Is -1/5382 at most 0?
True
Which is greater: -567975 or -567974?
-567974
Is 71785 != 71783?
True
Which is greater: -8 or -19894?
-8
Is -825/221 <= -3?
True
Which is greater: 236270 or 236269?
236270
Is -64615/8 bigger than -8077?
True
Is -13546 bigger than -12?
False
Which is smaller: 0 or -10/958879?
-10/958879
Which is bigger: 536 or 19824/37?
536
Do 789879 and 4 have the same value?
False
Which is smaller: -61509 or 0.04?
-61509
Is -246253 <= -246254?
False
Is -27832 at most -27837?
False
Which is bigger: -9708 or -9709?
-9708
Which is bigger: 153 or -3524?
153
Which is smaller: 9439 or 103824/11?
103824/11
Which is bigger: 53897 or 53896?
53897
Is -0.30523 equal to -1/50?
False
Which is greater: -2/13 or 4/843?
4/843
Is 1312731/10 < 131273?
False
Which is bigger: 28/141 or 0?
28/141
Is 1997 bigger than 1969?
True
Is -20456/3 > -6818?
False
Which is smaller: -282 or -6477/23?
-282
Which is smaller: 230 or 1/49?
1/49
Which is greater: 5/4 or -1333.44?
5/4
Which is greater: 1738 or 1726?
1738
Does -5317 = -5310?
False
Is 82 bigger than -1442?
True
Is -7653/158 < -48?
True
Which is smaller: -192 or -171?
-192
Which is greater: -2855/123 or -24?
-2855/123
Which is smaller: 2/5 or 80494?
2/5
Is -4645 greater than -4674?
True
Which is bigger: -1/5 or -36175?
-1/5
Is 12/707207 smaller than 0?
False
Which is bigger: 1/110370 or -1?
1/110370
Which is smaller: 180494/15 or 12032?
12032
Which is greater: 289145 or 289146?
289146
Which is smaller: 1 or 16/3951?
16/3951
Which is smaller: 6318 or 63183/10?
6318
Is 103 at most as big as 13095?
True
Which is greater: -5/67409 or 0?
0
Which is greater: 5214963/5 or 1042992?
5214963/5
Which is smaller: 0 or 19/154913?
0
Which is smaller: -106 or 133?
-106
Do 478 and 7163/15 have different values?
True
Is -325004/7 at least as big as -46430?
True
Which is smaller: -342046/3 or -114014?
-342046/3
Is -12/17 greater than or equal to 1003?
False
Which is greater: 1782/59 or 29?
1782/59
Which is smaller: 12053 or 12054?
12053
Is 0 smaller than -19/19991?
False
Which is bigger: -5816 or -5822?
-5816
Which is smaller: -38527 or -38525?
-38527
Which is bigger: 12 or 2426?
2426
Which is bigger: -1151 or -8056/7?
-8056/7
Which is bigger: 2108 or 2107?
2108
Is -456930 at least -456929?
False
Which is bigger: -3305 or -122262/37?
-122262/37
Which is greater: -3194577 or -3194579?
-3194577
Do 211 and 3.06 have different values?
True
Which is greater: 908802 or 908801?
908802
Is -7644 smaller than -3/8?
True
Which is greater: 819/1286 or 1?
1
Is 0 at least as big as 9/37642?
False
Which is greater: -184177 or -184174?
-184174
Is -1046/53 smaller than -20?
False
Does -1030 = -11.3?
False
Which is bigger: -1137 or 23?
23
Which is smaller: 542033 or 0.1?
0.1
Are 6082 and 6074 equal?
False
Is 15 <= 6/47?
False
Does 3353 = 3402?
False
Is 44462 < 44463?
True
Which is smaller: 65720 or 1?
1
Which is smaller: 5383 or -3/2?
-3/2
Which is smaller: -219 or -2633/12?
-2633/12
Which is smaller: -7676 or -191937/25?
-191937/25
Is 6759 equal to 6783?
False
Which is smaller: 28/4159 or -1?
-1
Which is bigger: -0.16 or -9084?
-0.16
Is 9/4 greater than -5650?
True
Is 0 at least as big as -69/716?
True
Which is smaller: 1 or -2/7787?
-2/7787
Which is smaller: -259470 or 0?
-259470
Which is smaller: 403 or 29360/73?
29360/73
Do -1 and 5/132964 have the same value?
False
Which is greater: 22604 or 22528?
22604
Are -1 and -1/496274 equal?
False
Which is smaller: -10683 or 69?
-10683
Is 72 < -45?
False
Are 0 and -79/208 equal?
False
Which is smaller: 64865 or 64894?
64865
Is 0 greater than 3/6139?
False
Which is smaller: -0.80643 or 2/5?
-0.80643
Which is bigger: 6110 or 6121?
6121
Which is bigger: 2/773 or -0.05?
2/773
Is -420 equal to -415?
False
Which is smaller: 8293 or 124406/15?
8293
Which is smaller: 36.13 or 0.004?
0.004
Which is smaller: 0.2 or 16499?
0.2
Which is bigger: 430 or 426?
430
Which is smaller: 31186 or 31188?
31186
Which is bigger: -13 or 12/104351?
12/104351
Is -0.2 at least -50.9?
True
Which is smaller: -2 or -44460?
-44460
Is -189111 at most as big as -189113?
False
Which is greater: 180/5201 or 1?
1
Is 496 bigger than 371?
True
Is -10/76787 greater than 1?
False
Are 1 and -0.09719 nonequal?
True
Which is smaller: 18 or -36264?
-36264
Which is greater: 17193/94 or 184?
184
Which is smaller: 1/2 or 221664/7?
1/2
Which is greater: -1867273 or -1867274?
-1867273
Which is bigger: 52263 or 574906/11?
574906/11
Which is bigger: 22504 or 22519?
22519
Is -1/5 greater than 6449?
False
Which is bigger: 144567/8 or 18072?
18072
Do -747995 and -747997 have the same value?
False
Which is smaller: -7.798 or 12/5?
-7.798
Is 244/373 at least 0?
True
Which is smaller: -58/23947 or 0?
-58/23947
Which is smaller: -1864 or 21?
-1864
Is -1 at most -1/73361?
True
Is 0 bigger than -504/505?
True
Is -136 not equal to 29617?
True
Is -171/4 < -23.5?
True
Is - | {
"pile_set_name": "DM Mathematics"
} |
Suppose -4*f + l = 141. What is the tens digit of f?
9
Let d = -7 - -7. Suppose 5*c - 2*c = 3*f + 12, d = -3*c - 3*f + 18. Suppose 616 = c*v + 3*v. What is the tens digit of v?
7
What is the units digit of ((-6564)/18 - -1)*-21?
7
Let a = 9 - 5. Let u be (-1)/(-2)*(245 + -7). Suppose -4*o + 5*k = -5*o + u, a*o = 4*k + 524. What is the hundreds digit of o?
1
Suppose f - 5*f + 8 = 0. Suppose -2*p + 4*y = -446, 4*p - 450 = f*p + 2*y. What is the units digit of p?
7
Let t(w) = w + 17. Let c be t(-13). Let s be (c/(-10))/((-2)/(-20)). What is the units digit of (-10)/4 - -2 - 50/s?
2
Let n(q) = -5*q**2 + 55*q + 31. Let j be n(-15). Let m = -1048 - j. What is the units digit of m?
1
Let y(s) = -33*s + 36. Let k be y(1). Suppose -k*c = -z + 44, -z = 4*z + 3*c - 202. What is the units digit of z?
1
Let g(k) = 43*k**2 - 121*k - 2960. What is the units digit of g(-39)?
2
Suppose 0 = 4*c - 3*m + 7, -3*c - 5*m = -2*m - 21. Suppose -c*p + 54 + 36 = 0. What is the tens digit of p?
4
Let b = 71418 + -39653. What is the hundreds digit of b?
7
Suppose 37*p - 40790 = 34*p - 5*v, 4*p + 2*v = 54396. What is the hundreds digit of p?
6
What is the hundreds digit of (208/(-12))/((-4)/42*1/23)?
1
Let h be ((-231)/(-22))/(1/24). Suppose 6*v - h = 90. What is the units digit of (v/(-6))/((-3)/48)?
2
Let f(h) = -h - 222*h**2 - 6*h + 1 + 11 + 382*h**2 + 0. What is the tens digit of f(3)?
3
Suppose 4*k = 2*v - 1188 - 6454, 2*k = -3*v + 11431. What is the thousands digit of v?
3
Suppose -14*o = -4*o - 40. Suppose -b + 6*b = 4*m - 132, m = -o*b + 54. Let j = m - -114. What is the units digit of j?
2
Let x be ((-218)/4)/((-12)/(-120)). Let r = -383 - x. What is the units digit of r?
2
Let j(p) = 19*p**2 + p + 72844 - 72839 - p**3 - 8*p**2. Suppose -3*n + 0 = -30. What is the units digit of j(n)?
5
Let w = 191 + -5. Let c = 112 + w. What is the units digit of c?
8
Let v = 4380 - -4136. What is the tens digit of v?
1
Let z(n) = 530*n + 13. Let y(a) = -a - 2. Let u(c) = 6*y(c) - z(c). What is the units digit of u(-1)?
1
Let t = 460 + -211. Let f be ((-72)/27)/((-2)/(-114)). Let m = f + t. What is the tens digit of m?
9
Let z = -873 - -1753. What is the tens digit of z?
8
Let i(t) = -t**2 + 32*t + 3. Suppose 3*d + 7 = x - 2*x, x - 5 = 0. Let f be 4 - (-10 + (0 - d)). What is the tens digit of i(f)?
2
Suppose -9*z + 25 = -4*z. Suppose o - 4*x = -55, 3*o - z*x + 94 = -71. What is the units digit of ((-3)/(4 - 1))/(1/o)?
5
Let m(d) = 909*d + 2832. What is the units digit of m(48)?
4
Suppose -470*l + 234*l = -237*l + 34235. What is the units digit of l?
5
Let x(n) = -29*n + 73. Let b(r) = 20 - 32 + 0*r + 2*r + 3*r. Let t(p) = 34*b(p) + 6*x(p). What is the units digit of t(-15)?
0
Suppose 2*g + 3177561 = 305*g. What is the ten thousands digit of g?
1
Let u(z) be the second derivative of z**4/12 - 4*z**3/3 - z**2 - 3*z. Let f be u(6). What is the tens digit of (-3555)/(-63) - (-6)/f?
5
Let c(i) be the first derivative of i**4/4 + 7*i**3 - 31*i**2/2 - 21*i - 54. What is the units digit of c(-22)?
7
Suppose 0 = -71*p + 69*p + 4*o + 37886, -4*o - 24 = 0. What is the units digit of p?
1
What is the ten thousands digit of 57/(-38) + (-114985)/(-10)?
1
Suppose 11*q - 30*q + 75145 = 0. What is the units digit of q?
5
Let v = -827 - -778. Let u = v - -1185. What is the hundreds digit of u?
1
Suppose -r + 6*r = 10, -2*d + 4*r - 678 = 0. Let c = -208 - d. Suppose b = 2*w + 26, c = 4*b - 3*w + 43. What is the tens digit of b?
1
What is the thousands digit of (505548/32 - 0) + (-78)/208?
5
Let x(b) = -6*b - 4. Let p be x(-1). What is the hundreds digit of (-5)/p*(-606)/5?
3
What is the tens digit of (-118*60/80)/((-6)/1648)?
0
Let b(j) be the first derivative of j**3/3 - 5*j**2 + 51*j + 118. What is the tens digit of b(-17)?
1
Let m(b) = b**3 + 7*b**2 - 914*b + 60. What is the tens digit of m(30)?
4
Let z(w) = -2*w**2 + 2. Let s(b) = -9*b**2 - 31*b + 68. Let n(f) = -s(f) + 4*z(f). What is the hundreds digit of n(13)?
5
Suppose 0 = -71*t + 74*t + 3. Let d(o) = -110*o**3 + 3*o**2 + o - 1. What is the tens digit of d(t)?
1
Let d(j) = 40*j + 15. Let t be d(-3). Let n = 2 - t. What is the units digit of n?
7
Suppose -320*r - 33 = -331*r. Suppose 2*a = g + 655, -r*a + 320 = 3*g - 676. What is the hundreds digit of a?
3
Let r(o) = -3*o**3 + o**2 - o - 6. Let y be r(-2). What is the hundreds digit of (-3836)/(-6) + 40/y?
6
Suppose 25*z = 24*z + 4*p + 7448, 0 = -3*z + 4*p + 22384. What is the thousands digit of z?
7
Let b(f) = f**2 - 3*f + 8. Suppose -2*j = 4*l + 152, 0 = 5*j + 4*l - 230 + 622. Let p = 97 + j. What is the units digit of b(p)?
6
Suppose 0*a + 5*c - 27 = -a, -3*a - 3*c + 21 = 0. Suppose 0 = a*p + 5*g - 773, 4*g = -3*p + 145 + 1004. What is the hundreds digit of p?
3
Let l(m) = -2*m**2 + 8*m + 26. Let u be l(6). What is the units digit of (u*(-14)/8 - -4)*120?
0
Suppose 66*z + 3*z + 4485 = 0. Let w(v) = -v**3 - 9*v**2 - 12*v - 9. Let c be w(-8). Let s = c - z. What is the tens digit of s?
8
Let a = -5701 - -11327. What is the tens digit of a?
2
What is the tens digit of ((-33)/(-6) + -6)*1*-8 - -9232?
3
Let o(q) = -69*q + 99. Let z be o(12). Let w = z + 2076. What is the tens digit of w?
4
Suppose k = -3*l + 4248 + 15712, k + 13310 = 2*l. What is the thousands digit of l?
6
Suppose 49293 = 4*o - q, -5*o = 2*q - 28867 - 32772. What is the ten thousands digit of o?
1
Let x = 33525 + -22975. What is the ten thousands digit of x?
1
Suppose 3*g - 4*b = 106154, -4*g + 29278 + 112265 = -b. What is the thousands digit of g?
5
Let g = 128 - 128. Suppose 0*k + 4*k = s + 2790, 2*k - 5*s - 1386 = g. What is the hundreds digit of k?
6
Let l = 49590 - 21275. What is the hundreds digit of l?
3
Let w(f) = -2*f**2 - 22*f - 24. Let o be w(-10). Let d(c) = c + 8. Let b be d(o). What is the tens digit of (-9)/(b/(-256)*6)?
9
Suppose 5*v - 6*c - 33180 = -7*c, 5*v - 3*c = 33160. What is the units digit of v?
5
Let y be 221 - 4*(-3)/(-24)*4. Let m be 3*2/(-3) + y + -8. Suppose 0 = -12*o + m + 1687. What is the hundreds digit of o?
1
Let h be 2/(-3) + 3/27*177. Let n = 84 - h. Suppose -3*f = -n - 40. What is the units digit of f?
5
What is the tens digit of 11 - 1 - (-31)/((-310)/(-409030))?
1
Suppose -10*p = 14930 - 8194 - 52516. What is the thousands digit of p?
4
Let s be 6/(-15)*25/20*4. Let g be (-3)/(-9)*(2681 + s). Suppose -1068 = -4*o - v, -5*o + 459 = -3*v - g. What is the hundreds digit of o?
2
Let h = 346 + -346. Suppose 6*f - 4050 = -h*f. What is the hundreds digit of f?
6
Let k be 5/(6/(-6) + 2). Suppose -3*r + 3*j + 456 = 0, 4*j - 1063 + 348 = -k*r. What is the units digit of r?
7
Let r(v) = v**2 + v - 8. Let n be r(6). Let o = n + -31. Let i(u) = 53*u - 20. What is the units digit of i(o)?
9
Suppose 0 = 2*c - 3*y + 1692, c + 4*y + 578 = -290. Let q = c + 1425. What is the units digit of q?
3
Suppose -4*d - n = 4190, -d - n + 210 - 1259 = 0. Let u = d + 1816. What is the units digit of u?
9
Let m = -36440 + 51083. What is the units digit of m?
3
What is the ten thousands digit of (28/13 - 2) + 242094094/5863?
4
Let u be (-14 - 1)/((-9)/60*-2). Let t = 55 + u. Suppose -3*f - a - 16 = -76, t*f + 2*a = 99. What is the tens digit of f?
2
Let f(x) = x**3 - 11*x**2 + 13*x + 5. Let t be f(10). Let n = 29 - t. What is the tens digit of 98 + -3*(-4)/n?
9
Suppose 0 = -4*k - r + 1268, -4*k + 1255 + 25 = 4*r. What is the units digit of 1 - k/(-8) - 5/10?
0
Let a(y) = -1113*y - 5691. What is the hundreds digit of a(-20)?
5
Let q be 0/(2 + 1 + -5). Let v(h) = 14*h + 175. What is the tens digit of v(q)?
7
Suppose -12*n + 95717 = 16*n - 50863. What is the units digit of n?
5
Let x be (-5 - (7 - 3))*4/(-12). Let j = 380 - 129. Suppose 6*m - x*r = 2*m + 999, -m = -r - j. What is the units digit of m?
6
What is the tens digit of (17 - (-893)/(-57))*(-2979)/(-2)?
8
Let a(h) be the first derivative of -17*h**2/2 - 7*h + 118. What is the units digit of a(-4)?
1
Suppose -36*f + 90 = -6*f. Suppose 5*u - 1947 = -f*q + 2*u, 3*u - 2593 = -4*q. What is the tens digit of q?
4
Let g be 330/(-8) - -6*5/(-40). Let y be 3 + -1 - g/(-14). What is the units digit of -5 - (-208 - (y - -1))?
3
Let d be (-2 - 42/(-15))/(2/5). Let z(m) = 2280*m**2 + 0*m - 2278*m**d + 31 + 10*m. What is the units digit of z(-13)?
9
Suppose 0 = -2*v - 5 | {
"pile_set_name": "DM Mathematics"
} |
-122. Which is the closest to 0.1? (a) -0.5 (b) 5 (c) x
a
Let a = -348 + 346.9. What is the nearest to 1/2 in 3, a, 5?
a
Let x be 3/5 + 0/(15 - 0). Let o(l) = l + 4. Let p be o(-5). Which is the nearest to 0? (a) x (b) p (c) -1/9
c
Let g = 0.8 + -2.8. Let s = -3.563 - 0.437. Which is the nearest to 10? (a) 5 (b) g (c) s
a
Let i = 0.268 + -0.29. Let j = i - 4.978. Suppose 0 = -5*h + 20 - 5. Which is the closest to -2/5? (a) h (b) -3/2 (c) j
b
Let k be (-3)/6*(-20)/25. What is the closest to k in 1/3, 2/11, 4/7?
1/3
Suppose -3*u - 127 = -4*o - 21, -4*u = -5*o + 143. Let m be (-1)/(-7) + (-199)/u. Let s = m + -33/7. Which is the nearest to 2/3? (a) s (b) 2/9 (c) 0.3
c
Let o be (6 + (-11 - -1))*(-2)/8. What is the closest to -31 in o, 3, -2/3?
-2/3
Let q = 0.03 - -15.17. Let j = q + -0.2. Let y = j - 20. Which is the nearest to 0.1? (a) -2/9 (b) -0.2 (c) y
b
Let q = -97 + 110.2. Let n = 14 - q. Let y = 1 - n. What is the nearest to y in 1, -2, -3?
1
Let f = -304 - -311. Which is the closest to f? (a) 1 (b) -2/7 (c) 3 (d) 5
d
Let m be -1 + 3 - ((-144)/(-30))/3. Which is the closest to -1? (a) -2 (b) m (c) -27 (d) 4
a
Let p = -105.07 - -105. Suppose 2*x + 10 = 4*x. Which is the closest to p? (a) 0.1 (b) x (c) 2
a
Let v = -3 + -6. Let i = v + 10. Let r(g) = g**2 + 5*g - 1. Let p be r(-4). What is the closest to -1/3 in i, p, 0?
0
Let g = 1053 + -935. Which is the closest to 0? (a) 0.5 (b) -0.3 (c) 5 (d) g
b
Let f = -1 + 3. Let r = -4469 + 4464. What is the nearest to 1 in 0.1, r, f?
0.1
Let f = -2 + 2.1. Let z = 18558 + -18553. Which is the closest to f? (a) z (b) 0 (c) -0.5
b
Let h be (-1 - 0)*3/3. Suppose 0 = 11*y - 15*y + 3*k - 12, 0 = 3*y - 4*k + 9. What is the nearest to 0 in y, h, -2/17?
-2/17
Let y = 7 + -25. Let k = -31 - y. Let v = k + 15. Which is the nearest to v? (a) -5 (b) -1 (c) -0.4
c
Suppose 6571*d - 24 = 6577*d. What is the nearest to 1/4 in -0.3, -5, -5/44, d?
-5/44
Let s = 2 + -1.9. Let r = 0.1173 - 5.1173. Let p = -5 - -5.1. What is the closest to p in s, r, -1/5?
s
Let r = 18.92 + 0.08. Let q = r + -24. Let f = 5.1 - 5. Which is the closest to -1/8? (a) f (b) q (c) 2
a
Let q(y) be the second derivative of y**2 + 1/4*y**4 + 1/20*y**5 + 0 - 5*y - 2/3*y**3. Let r be q(-4). Which is the nearest to r? (a) 0.1 (b) 2/9 (c) -1/6
b
Let g = -4.907 - 0.093. Let n be (-2)/(-3)*-3 + 2. Suppose 2*q + 5*z - 22 = 0, 4*q - q - 2*z + 5 = n. What is the closest to q in 1, g, -2/3?
1
Let f = -1.31 - 0.25. Let q = f + 1.6. Let a = 0.06 + q. What is the nearest to a in -2, 0.4, -2/11?
-2/11
Let m = -9 - -11. Which is the closest to 2? (a) 7 (b) 1 (c) m
c
Let i = -2 - -1. Let x = 2.69 - 2.59. Which is the nearest to i? (a) -0.1 (b) x (c) 3
a
Let i = -4 - -3.6. Suppose -3 = 5*q + 2. Let v = -1560 + 1564. Which is the closest to q? (a) i (b) v (c) -4
a
Suppose 0 = -22*q + 63 + 47. Which is the closest to -2/7? (a) 1.2 (b) 3/4 (c) q
b
Let v = 55868/7 + -8002. Let x = v + 3935/189. Which is the nearest to x? (a) -2 (b) 0.5 (c) 3/4
b
Let m = 15 + -108. Let u = -94 - m. Suppose -3*r - 4 - 2 = 0. What is the closest to u in -2/11, r, 0.2?
-2/11
Let p = 1621.03 + -1620. Which is the nearest to 2? (a) -2 (b) p (c) 0.3
b
Let l = -556/3 + 190. Which is the nearest to l? (a) -2/9 (b) 2/19 (c) -4
b
Suppose 0 = -4*v - 4*m + 108, -3*m - 114 = -4*v - 5*m. Let j = v - 57/2. Let z = 9 - 9. Which is the closest to z? (a) 1/5 (b) j (c) -0.5
a
Let w = 1.14 - 0.04. Let u = w + -0.4. Let x = -0.3 + u. What is the nearest to 0 in 0.5, -0.02, x?
-0.02
Let x = -61.28 - -62. Let r = -1.28 - x. Which is the nearest to 2/7? (a) 0 (b) -2/9 (c) r
a
Let x = 10 - 1. Let r = -207 - -207.5. What is the nearest to -2/3 in 3, x, r?
r
Let j be (-55)/(-22)*(-4)/(-10). Suppose 2*x - 5*u = 12, -3*x + 10 = -4*u - j. What is the closest to x in 0, -0.3, -3?
0
Let q = 4 + -9/2. Let m be (-2)/7 + 22/28. Let x = -776 - -2327/3. What is the closest to q in m, -1/4, x?
x
Let c = 417 - 422. What is the closest to -0.1 in c, -12, -1/3?
-1/3
Let p = 0.1 + 0. Let c = -70.8 + 73.8. What is the nearest to -1 in c, 2/11, p?
p
Let x = 153/155 + -12/31. Which is the closest to 0.2? (a) x (b) 3 (c) 1/9
c
Let i = 97/2 - 49. Which is the nearest to 2/3? (a) 1/2 (b) i (c) 5 (d) 0.3
a
Let d be 26/325*(-30)/(-8). What is the nearest to -2/3 in 2/13, -3/4, -3, d?
-3/4
Let s = 0.029 - 0.339. Let j = -2.31 - s. Which is the nearest to -0.1? (a) 1 (b) -0.3 (c) j
b
Let z = -1/537 + -178/537. Let n(d) = 3*d + 2. Let o be n(-2). Which is the nearest to -1? (a) 4 (b) o (c) z
c
Suppose -2*y - 28*j + 2 = -30*j, -4*y = j + 1. What is the closest to 0.8 in y, 0.5, -1/6?
0.5
Let x = -9 - -5. Suppose 3 = -2*y + 13. Suppose y*v - 4*i - 5 = i, 3*v = -5*i + 3. Which is the closest to v? (a) x (b) 8 (c) 4
c
Let v = -0.53 + 2.53. What is the nearest to 2/7 in v, -0.24, 6/5?
-0.24
Let s = -0.094 - -0.13. Let i = 2.864 + s. Let m = 0.1 + i. What is the closest to 0.1 in -2, 2/5, m?
2/5
Let s = 337/5 + -339/5. Let o(w) = -w + 2. Let g be o(-2). What is the closest to s in -4, 5, g?
-4
Let n be (-4 - (-19 - 1)/4) + -4. Which is the nearest to -40? (a) n (b) 1/3 (c) 4
a
Suppose -3*l - d - 4 = 3*d, 5*l - 2*d + 24 = 0. Let r = 0.9 - 0.8. Let q = -0.1 - r. What is the closest to -1 in -3, q, l?
q
Let h = 2/1071 - 772/31059. Let o be (-8)/(-870)*(-134)/(-16). Let l = h - o. What is the nearest to 0.1 in l, -1/6, -1?
l
Suppose -182 + 250 = 17*n. Which is the nearest to -1/3? (a) 0.07 (b) n (c) 0.4
a
Let p = 3/622 + 601/4354. What is the nearest to 3 in p, -10, 0.5, -5?
0.5
Let i = 92/5 + -18. Let k = 44 + -32. Let d be (8/50)/(k/30). What is the nearest to i in d, -5/2, 0?
d
Suppose -11*j + 42 = 10*j. Which is the nearest to 2/37? (a) 6 (b) j (c) -2 (d) -2/9
d
Let o = 13.6 + 2.4. Let k = 11 - o. Let p = 140.3 - 141.3. What is the closest to 2/3 in 0.3, p, k?
0.3
Let k(q) = q. Let u be k(-5). Let g = -751.7 + 752. Let z = 0.4 - 0.9. What is the closest to 1/3 in u, g, z?
g
Let m = -1067.6 - -1207. Let d = -139 + m. Let n be (-2 + 1)/((-2)/(-10)). What is the closest to -2/27 in -0.5, n, d?
-0.5
Suppose -2*p + 8 = 4. Suppose -4*i + 154 = 5*f, 55 = p*f - 4*i - i. Let a be 12/f*3/(-2). What is the closest to 3 in a, 2/19, 5?
5
Let c = 0 + -2.3. Let p = c - 1.7. What is the closest to -1/3 in 1, -3, p?
1
Let k = 8 - 6. Let t = 30 + -29.44. Let n = t + -0.06. Which is the nearest to 1? (a) k (b) -4 (c) n
c
Let b = 2.581 - -1.419. Let p = 2.93 + 0.07. What is the nearest to -5 in 0.4, b, p?
0.4
Suppose 0 = 3*o + 12, 9*o + 24 = -4*w + 8*o. Suppose u - 29 = 4*q, -1 = 5*u + 4*q - 26. What is the nearest to -1 in w, -0.5, u?
-0.5
Let l be 182/78 + (-2)/1. Which is the nearest to 1.7? (a) -2 (b) -0.2 (c) l
c
Let n be ((-2)/(-7)*(3 + -10))/(-6). Let v be ((-100)/48)/5 + (-2)/(-12). What is the nearest to -1 in n, -2/7, v?
-2/7
Let i be (-3)/99*(-9)/6. Let l = i - -37/154. Let g be (-13)/52 + (-6)/(-8). What is the closest to g in -5, l, 2?
l
Let u = -56.16 + 10.06. Let d = u - -46. Which is the nearest to -0.2? (a) d (b) -2 (c) 2/7
a
Let q = 0.303 + -0.703. Which is the nearest to 1/3? (a) q (b) -18 (c) 0
c
Let y be 0*((-14)/56 - (-7)/12). Which is the closest to y? (a) -3/4 (b) 1/4 (c) 0.43
b
Suppose -4*g + 10 = 22. Let x = -19/108 - 2/27. Which is the nearest to -3? (a) 0.2 (b) g (c) x
b
Let s be (-2*(-70)/(-16))/(2/16). Let z = -488/7 - s. Which is the closest to -4? (a) 1 (b) -4 (c) z
b
Let r = -0.1 - 0.9. Let a = 1647 - 1652. What is the closest to r in a, 2/3, -2/31?
-2/31
Let p = 37 + -39. Let x = 0.1 + 0.3. What is the closest to p in -3, -4, x?
-3
Suppose 0 = 4*s + 2*b - 7*b - 184, 5*s - b = 230. Let z be 2/(-6)*12/s. What is the nearest to 0.1 in 4, 2/3, z?
z
Let y = -0.08 - -0.16. Let l = y + 2.92. Let d be (-12*(-2)/(-9))/(4/(-6)). What is the nearest to 3/7 in 1, d, l?
1
Let w = 43 - 46.6. Let n = 0.45 + -0.05. Let q = w - n. What is the closest to 0.1 in 1/5, 2, q?
1/5
Let r be 35/143 - (553/154 - (-84)/(-24)). Let y = 0.8 + -1. What is the nearest to -1/4 in r, -6, y?
y
Suppose -q - 3 = -6*q + 4*g, g = 3. Which is the nearest to q? (a) -0.1 (b) 0.2 (c) 3
c
Let z = 38 - 19. Let g = 23 - z. Which is the closest to -1? | {
"pile_set_name": "DM Mathematics"
} |
ided by j.
3
Let j = 11879 - 11462. Calculate the remainder when j is divided by 225.
192
Suppose 0 = 24*w - 247 - 9377. Suppose 4*u + 5*y = 313, -5*u + 14*y - 17*y + w = 0. What is the remainder when u is divided by 28?
26
Let j(b) = 4*b**2 + 50*b - 145. Let q(g) = 3*g**2 + 33*g - 97. Let t(f) = -5*j(f) + 7*q(f). Calculate the remainder when t(19) is divided by 32.
14
Let k(n) = -n**3 - 9*n**2 + 14*n + 18. Let z be k(-10). Suppose 6*a - 336 = 198. Let h = a + z. What is the remainder when h is divided by 18?
13
Calculate the remainder when 1088 is divided by (-528)/(-38) + 9 + (-169)/19.
10
Suppose -5*q + 48 = -7. Let t(y) = -y**3 + 13*y**2 - 10*y - 6. Let a be t(q). Suppose 0 = -4*w + 70 + a. What is the remainder when w is divided by 13?
10
Let x = -89951 - -90048. Let c(h) = -h**3 + h + 35. Calculate the remainder when x is divided by c(0).
27
Let w(n) = n**2 - 14*n + 19. Let r be w(24). Let p = 310 - r. What is the remainder when 354 is divided by p?
48
Let l(z) = -z**2 + 10*z - 12. Calculate the remainder when (2 - (6 - 22)) + -3 is divided by l(5).
2
Suppose -5*h = -2*u + 820, 4*u + 348 + 336 = -4*h. Let j = h - -171. What is the remainder when 24 is divided by j?
4
Suppose 4897 = -8*n + 12833. Calculate the remainder when n is divided by 11.
2
Let a = 4352 - 4243. Let l = 21 + 3. Calculate the remainder when a is divided by l.
13
Let w be (-5 + 2)*(-2)/3. Suppose 5*v = 3*q - 63, w*q - q = 2*v + 20. What is the remainder when 128 is divided by q?
24
Suppose 19*h + 2*h = -18*h + 82134. Calculate the remainder when h is divided by 32.
26
Let n(b) = b + 223. What is the remainder when n(0) is divided by (-70)/3*(-30)/25?
27
Let c be -4*15/20 - (-634 + 0). Suppose 8*f - c = -215. What is the remainder when 106 is divided by f?
2
Let f = -365 - -365. Suppose -29*h + 47*h - 486 = f. What is the remainder when 103 is divided by h?
22
Suppose -6 = -2*w, 5*m + 2*w = 4199 - 968. Calculate the remainder when m is divided by 212.
9
What is the remainder when 293 is divided by 16/184 + 10592/24*75/230?
5
Suppose -7233 - 3477 = -35*z. What is the remainder when z is divided by 87?
45
Let r = 10389 + -10385. Calculate the remainder when 20*((-1)/2 - -1) is divided by r.
2
Let y(r) = 3*r - 63. Let v be y(21). Suppose 2*b - 180 + 46 = v. Calculate the remainder when b is divided by 35.
32
Let i = -30 + 63. Suppose 4*h = -5*t - 251, 0*h - 3*h - 2*t = 183. Let a = -40 - h. What is the remainder when i is divided by a?
14
Suppose 56792 = -92*r + 154*r. Calculate the remainder when r is divided by 227.
8
Let j = 34 + -22. Let t = -102 + 99. What is the remainder when (0/1 + t)*69/(-9) is divided by j?
11
Let f(b) = b**2 + 86*b + 342. Calculate the remainder when f(-92) is divided by 22.
14
Let s = 1038 - -384. What is the remainder when s is divided by 25?
22
Suppose 0 = 18*f - 9240 - 13253 + 3395. What is the remainder when f is divided by 15?
11
Let p = 11986 + -11816. Calculate the remainder when 533 is divided by p.
23
Let t(x) = -3*x**2 - 246*x - 3. Calculate the remainder when t(-78) is divided by 19.
2
Suppose 0 = 2*p + p - 135. What is the remainder when (2/6 + 4/6)/((-9)/(-1494)) is divided by p?
31
Let m(d) = -d**3 + 12*d**2 + 45*d + 29. Suppose 0 = -3*v - 4*h + 25, 25 = 18*h - 23*h. What is the remainder when 76 is divided by m(v)?
18
Suppose 622 = 38*i - 442. Let d be -3 + 1 + 2*3. Let m(w) = w**2 + w - 3. Calculate the remainder when i is divided by m(d).
11
Let l be (-1*3)/((-270)/(-180)). Calculate the remainder when 209 is divided by (-69)/(-138) + (-105)/l.
50
Let n = 609 + -605. What is the remainder when 67 is divided by (222/24)/((-2)/n)*-2?
30
Let m = 51 + -54. Let a be (2 + -33)/(-1) + m. Suppose 2*q + 4*i + 4 - 32 = 0, 3*i = -2*q + a. What is the remainder when 82 is divided by q?
12
Let v(k) = 2*k**2 - k + 2. Let w be v(0). Suppose -w*q - 58 = -544. What is the remainder when q is divided by 35?
33
Let t(i) = 45*i**2 - 42*i - 1. Calculate the remainder when 293 is divided by t(3).
15
Suppose -2706 + 8088 = 26*g. What is the remainder when 425 is divided by g?
11
Suppose 0 = -4*s + 1413 + 2115. Let f be (s/(-15))/(4/(-20)). Suppose 2*p + 3*p - 363 = -k, 4*p - k - f = 0. Calculate the remainder when p is divided by 15.
13
Let h = -2144 + 2226. What is the remainder when h is divided by 45?
37
Let o(g) = 8*g**2 + 4*g + 3. Calculate the remainder when (1422/(-45))/((-232)/580) is divided by o(-2).
25
Suppose 30*h - 3432 = -3*u + 26*h, -5*h = -2*u + 2265. What is the remainder when u is divided by 144?
132
What is the remainder when 1008 is divided by 12*((-923)/78 - -11) + 58?
0
Let w = 590 + -590. Suppose -530*a + 536*a - 360 = w. What is the remainder when a is divided by 7?
4
Suppose 0 = -3*g + 1259 + 1120. Let n be (-2)/(-4) + g/26. Suppose -y = y + 5*a - n, -y + 10 = -3*a. What is the remainder when 75 is divided by y?
10
Suppose v - 43 = -2*s + 115, 2*s + 2 = 0. Suppose 22*m - v - 148 = 0. Calculate the remainder when 40 is divided by m.
12
Let h = 298 - 298. Suppose -4*x = -h*x + 2*r - 30, 23 = 4*x - 5*r. What is the remainder when (-2)/(-9) - (-1166)/99 is divided by x?
5
Let j(m) = -m**3 + 6*m**2 - 2*m + 1. Let o(q) = -2*q + 45. Let v be o(17). Let z = 17 - v. Calculate the remainder when j(5) is divided by z.
4
Let w = -6639 - -6932. Calculate the remainder when w is divided by 44.
29
Let x = 113 + -101. Suppose -o = 3*o - x. Calculate the remainder when 26 is divided by o.
2
Suppose 980 = -12*p + 40*p. Suppose -5 = 5*u - 20. Suppose -u*n = -0*x - 4*x - 44, -3*x + 54 = 5*n. What is the remainder when p is divided by n?
11
Let i = 8795 - 4725. What is the remainder when i is divided by 34?
24
Suppose 10*t = 108*t + 58*t - 83148. What is the remainder when t is divided by 6?
5
Let o = 75 - 66. Suppose 0 = 3*r - 2*f - 124, 3*f = r - 33 - 6. Calculate the remainder when r is divided by o.
6
Let n = -8328 + 9526. Calculate the remainder when n is divided by 1.
0
Let h = -508 - -776. Let c(n) = -39443*n + 276111. Calculate the remainder when (3/(-6))/((-2)/h) is divided by c(7).
7
Let a(i) = 6*i**2 + 19*i + i**3 - 2*i**3 + 0*i**3. Let c = 3812 + -3804. What is the remainder when 46 is divided by a(c)?
22
Let p(l) = 6*l**2 + 686*l - 416. What is the remainder when 363 is divided by p(-115)?
11
Suppose 4*j = -5*z + 44301, -2*j + 22903 + 12545 = 4*z. What is the remainder when z is divided by 28?
17
What is the remainder when (16762/1445)/((-2)/(-20)) is divided by -1 + 1 + (-13)/(-1)?
12
Suppose 0 = i - 5*f - 18, -20 + 94 = 3*i + 5*f. What is the remainder when i is divided by (-30 - -32) + -18 + 29?
10
Let q(a) = 2*a + 10. Let k(p) = p - 1. Let b(g) = -3*k(g) + q(g). Calculate the remainder when b(-1) is divided by 7.
0
What is the remainder when 233 is divided by (-4*1)/(-2) - 2 - 20280/(-120)?
64
Let w = -1799 - -1807. What is the remainder when 10789 is divided by w?
5
Suppose 0 = -u + 2*u - 104. What is the remainder when u is divided by (1 - 9 - (-140 - -22))/2?
49
Let h = 4355 - 2276. What is the remainder when h is divided by 6?
3
Let w = -81 + 87. Suppose -w*p = 35 - 149. What is the remainder when 131 is divided by p?
17
Let u(n) = -22*n + 1690. What is the remainder when u(61) is divided by 71?
64
Suppose 279*r = 277*r + 242. Calculate the remainder when r is divided by 23.
6
Let t(a) = -a**2 + 94*a - 7. Calculate the remainder when t(80) is divided by 93.
90
Calculate the remainder when 1027 is divided by (-576)/(-504) + -1189*1/(-7).
1
Calculate the remainder when ((-40741)/(-393))/(2/30) is divided by 24.
19
Suppose 5*m - 53 = -g, 3*g - 316 = -2*m - 53. Calculate the remainder when 219 is divided by g.
33
Let r = 3409 + -3381. What is the remainder when 309 is divided by r?
1
Let u = 46 - 44. Suppose 6*k - u*k = 5*p - 159, p = 5*k + 15. Let o = -12 + p. What is the remainder when 89 is divided by o?
20
Let x(p) = -p**3 + 6*p**2 - 22. Let m be x(5). Suppose -12 = 4*q, 2*n + m*q = 13 + 24. What is the remainder when n is divided by 13?
10
Let v(k) = -12*k - 132. Let b be v(-18). Suppose -f = -5*t - 114, f - 93 = -0*f - 2*t. Let s = f - b. What is the remainder when 89 is divided by s?
14
Let h be ((-66)/(-9))/((14/48)/(-7)). Suppose -11 = -4*l + 33. Calculate the remainder when l is divided by 3/(-2)*h/66.
3
Suppose -3 | {
"pile_set_name": "DM Mathematics"
} |
t is t rounded to 7 decimal places?
-0.0000545
Let h = -15.3996412 - -15.4. Round h to 4 dps.
0.0004
Let o = 82.4815 - 84.354727. Let q = 1.872 + o. Round q to four dps.
-0.0012
Let k = -39 - -35. Let g be ((-14)/k)/((-9)/144). Round g to the nearest integer.
-56
Let u = 2.3 + -1.9. Let x = -48 + 48.438. Let w = u - x. Round w to two dps.
-0.04
Let w = -1847.9 - -1940. Let b = 119.44 - w. Round b to zero decimal places.
27
Let s = 0.72 + -0.495. Let n = 27.003 + -27. Let d = s + n. Round d to 2 dps.
0.23
Let f = -30702.96 + 30371. What is f rounded to zero decimal places?
-332
Let q = 156.495 - 156. Let i = q - 0.57. Let u = -9.875 - i. Round u to the nearest integer.
-10
Let c(b) = -1632233*b - 670. Let p be c(10). Round p to the nearest one million.
-16000000
Let c = -1.1278 + 1.127811303. What is c rounded to 6 dps?
0.000011
Let k = -0.04222 + 0.03676. Round k to 3 decimal places.
-0.005
Let j = 1167.6162 + -1.3662. Round j to the nearest 10.
1170
Let q = 36057.99997604 - 36058. What is q rounded to six dps?
-0.000024
Let g = -21527987.8098902 + 21527985. Let m = g - -2.81. Round m to five decimal places.
0.00011
Suppose -g - 15 = -17. Suppose -5*k = -b + 6, -g*b = 4*k + 3 - 15. Let p(r) = r**3 - 6*r**2 - r + 6. Let f be p(b). What is f rounded to 7 dps?
0
Let b = 8828 - 8827.92206. Round b to two dps.
0.08
Let c = 0.606 + -937.606. Let f = 931.23 + c. Round f to the nearest integer.
-6
Let o = -2279 + 1611. Let g = 725.3 + o. Round g to 0 decimal places.
57
Let d = 28912627 - 28912641.720817. Let b = 14.72 + d. What is b rounded to 5 dps?
-0.00082
Let y = 146.69 - 162.4684. Let v = y + 15.628391. Let k = v + 0.15. Round k to five decimal places.
-0.00001
Let w = 1.122 + -10.542. Let n = -9.42002555 - w. What is n rounded to six dps?
-0.000026
Let v = -2697.264 + 2685. Round v to the nearest integer.
-12
Let p = 4678847 - 2396844. Let g = p - 7385003. Round g to the nearest one hundred thousand.
-5100000
Let u = -0.56129 + 0.466. What is u rounded to 3 dps?
-0.095
Let d = -0.143 + 0.152. Let z = 0.0322 - d. What is z rounded to two dps?
0.02
Let w = -212.28 + 20.88. Let o = w + 237. Let a = 26.5 - o. Round a to the nearest integer.
-19
Let h = 242 - 174. Let p = 67.9999805 - h. Round p to 5 dps.
-0.00002
Let k = 206.67086 + -5.72316. Let a = k + -201. What is a rounded to 2 decimal places?
-0.05
Suppose -4 + 0 = -2*k, 3*k = -3*a + 12. Suppose -28 = -3*x + 4*p, p = -a*x - 3*x + 39. Let j = x + 82. What is j rounded to the nearest one hundred?
100
Let w = -3424.46 + 3586. Let f = -1.46 - w. Let n = 163.000103 + f. What is n rounded to five dps?
0.0001
Let a = 118.28 - 122. Let t = -19.77 - a. Let k = t - -0.15. Round k to the nearest integer.
-16
Let c(g) = -g**3 - g**2 + 19*g - 68. Let u be c(0). Let s be (-286300015)/35 + u/(-28) + -2. What is s rounded to the nearest one hundred thousand?
-8200000
Let v = 608.9994632 + -609. What is v rounded to five dps?
-0.00054
Suppose 0 = -2*x + 14 + 132. Suppose -68*g - 57100 = -x*g. Round g to the nearest 1000.
11000
Suppose 5*p - g + 23630 - 3721 = 0, -5 = 5*g. Let m be -4 + 0 + 1 - -185*1. Let b = m + p. Round b to the nearest 1000.
-4000
Let j(w) = -3*w**3 - w**2 - 2. Let i be j(-2). Suppose -753409 = -i*m - 155809. What is m rounded to the nearest 1000?
33000
Let j = -129.923 - -130. Let d = -2.123 - j. Let x = d - -4.1. Round x to 1 decimal place.
1.9
Suppose -723 = -3*n + 2*q + 2973, -n = 2*q - 1224. Suppose -6 = 2*j + 4, 5*x + 4*j - n = 0. Round x to the nearest 100.
300
Suppose -5163 = 6*x - 7*x. Suppose m = -4*d + 2894, -3*m = -d - 13832 + x. Let y = -6510 - m. Round y to the nearest 1000.
-9000
Suppose -4*x - 17 = -21*x. Let c be 7 - (2 + x) - 6380008/2. What is c rounded to the nearest 100000?
-3200000
Let l = 9 + -7. Suppose 2*c - 3*p = -506, l*c - c - 2*p + 255 = 0. Let q = c + -14653. Round q to the nearest one thousand.
-15000
Let b = 305.08 - 305.0789244. Round b to three decimal places.
0.001
Let t = -8430017 - 6449983. What is t rounded to the nearest one million?
-15000000
Let p = -1.6 + 16.2. Let d = 0.29 + 10.71. Let x = d - p. What is x rounded to zero decimal places?
-4
Let b = 59.222 - 69.8. Let w = b - 0.012. What is w rounded to the nearest integer?
-11
Let z = -5.57097 + -0.05803. Let o = z - 0.581. Round o to zero decimal places.
-6
Let f = 10453 - -22669. Round f to the nearest 100.
33100
Let i = -4126.99993676 + 4127. Round i to 5 decimal places.
0.00006
Let y = 13558231128684 + -13558232846409.0849921. Let l = 1717725 + y. Let t = l + 0.085. What is t rounded to 6 dps?
0.000008
Let v = -65011.7 + 65012.075017. Let m = 28.004883 + v. Let y = m - 28.4. What is y rounded to two dps?
-0.02
Let c = -274.4 - -12817.4. Let w = -12644.944 + c. Let z = -102 - w. What is z rounded to 2 decimal places?
-0.06
Let c = -0.06 - 0.132. Let f = c + 0.091. Let j = -0.101055 - f. What is j rounded to 5 decimal places?
-0.00006
Suppose 5*j + 58635280 - 187177369 = -4*y, -2*j + 51416858 = -4*y. Suppose j = -13*n + 9692421. Round n to the nearest one hundred thousand.
-1200000
Let n = 0.7328 - -622.9672. Round n to the nearest 100.
600
Let b = 1688617 - 1688938.99415. Let c = -322 - b. Round c to 3 dps.
-0.006
Let h(v) = -37 + 5 + 920*v - 2. Let y be h(9). Suppose -3*w - 1196 = -y. What is w rounded to the nearest one thousand?
2000
Let a = -141 + 80.7. Let r = -60.29997715 - a. Round r to 6 dps.
0.000023
Let x = 85 + -90. Let g be -250 + x + (-1 - -2). Round g to the nearest 10.
-250
Let a = -1052908886 + 331167067. Let k = a - -721741804.99999923. Let h = k - -14. Round h to 7 decimal places.
-0.0000008
Let z = 5745.9 - 4483.79. Let u = z - 1254. Let n = -0.19 - u. Round n to 0 dps.
-8
Let t = 8.96940501 - 7.215802214. Let u = t + -167.753617896. Let g = -166 - u. Round g to five decimal places.
0.00002
Let v = 5.224 - 3.7984. What is v rounded to one dp?
1.4
Suppose 18*p = 2*p - 2*p + 56424600. Round p to the nearest 100000.
3100000
Let n = 524.223 - 0.223. Let w = -523.99713 + n. What is w rounded to four dps?
0.0029
Let h = 2592 + -1673. Let b = h + -266. Let l = -653.311 + b. What is l rounded to one decimal place?
-0.3
Let j = 1613 - 1612.999982712. What is j rounded to six decimal places?
0.000017
Let a = -338946708.4000339 + 338946490.4. Let d = a - -218. Round d to six decimal places.
-0.000034
Let k = 63.271 - 478.061. What is k rounded to the nearest integer?
-415
Let f be 6/((-3)/(-7) + 165/154). Suppose -4*b = -b + m + 59, -f*b + m = 88. Let k be 5627999/(-7) - (-3)/b. Round k to the nearest one hundred thousand.
-800000
Let m = -20298554.60347 + 20298679. Let x = m - 126.445. Let r = -2.05 - x. Round r to four dps.
-0.0015
Let z = 0.035 + -3.035. Let w = -0.34 + z. Let a = 3.3400438 + w. Round a to 6 decimal places.
0.000044
Let p = -34 - -34. Suppose 2*w + 3*c = -p*w + 18379994, -5*w + 45949998 = c. Round w to the nearest one million.
9000000
Let f(y) = y**3 - 15*y**2 + 17*y - 7. Let i be f(14). Let d = i + -34. Let j be ((-250000)/(-3))/(d/36). What is j rounded to the nearest 1000000?
3000000
Let r = -0.0491 - -130.1691. What is r rounded to the nearest ten?
130
Suppose 3*a = -0*l - 2*l - 496002, -2*a - 8 = 0. Let n be 13/(-4) - -3 - l/(-20). What is n rounded to the nearest one thousand?
-12000
Suppose j - 2151810 = 9*g, 0 = -g - 2*j - 172654 - 66436. What is g rounded to the nearest 1000?
-239000
Suppose -5*v = -3 - 52. Suppose v = 6*w - 13. Suppose 0*t + 4*t = -4*b - 2216, 2207 = -w*t - b. What is t rounded to the nearest 10?
-550
Let r = 437.8 + 20.2. Let x = r + -325.9. Round x to the nearest 10.
130
Let i = -118307 - -118295.0654. What is i rounded to the nearest integer?
-12
Let p = -70870506623 - -70870507389.29991609. Let b = p + -766.3. Round b to 6 decimal places.
-0.000084
Suppose 0 = 5*a - q + 2749996, -56*q + 20 = -61*q. Round a to the nearest 10000.
-550000
Let o = -5.882 + 46.912. Let u = o + -0.03. Let g = u + -52.4. Round g to the nearest integer.
-11
Let o = -37886.728 - -36943. Let v = o - -1108.7082. Let c = -165 + v. Round c to 3 decimal places.
-0.02
Let c = -1489 - -1760.4. Let u = c + -324. Let t = u + 53. Round t to zero dps.
0
Let j = -62.7651 + -0.0349. Let g = -62.7923 - j. What is g rounded to 3 dps?
0.008
Let r = 45016 + -45015.9999996440 | {
"pile_set_name": "DM Mathematics"
} |
25)).
-4*sqrt(5) + 1
Simplify (sqrt(7)*-2)**2*5 + (sqrt(98)/sqrt(2) + sqrt(49))/sqrt(7).
2*sqrt(7) + 140
Simplify (sqrt(81)/(sqrt(9)*1))/(sqrt(18)/sqrt(6)*-2).
-sqrt(3)/2
Simplify sqrt(72) + 1 + -3 + sqrt(72) + (sqrt(72) - (-1 + sqrt(72)))**2 + -4.
-5 + 12*sqrt(2)
Simplify -3 + (5*sqrt(1008)*2 + 1 + -1*sqrt(1008))**2.
216*sqrt(7) + 81646
Simplify sqrt(56)/(sqrt(8) + -3*sqrt(128) + sqrt(8)).
-sqrt(7)/10
Simplify ((sqrt(363) - -6*(-1 + sqrt(363))) + (sqrt(363) - (0 + sqrt(363))*1) + sqrt(363))**2.
-1056*sqrt(3) + 23268
Simplify -5*(-3 + -2*sqrt(1900)).
15 + 100*sqrt(19)
Simplify ((sqrt(22) + sqrt(22)*-2)*5)/sqrt(11) + -4.
-5*sqrt(2) - 4
Simplify (4 + (sqrt(50))**2)*-5.
-270
Simplify (-1 + sqrt(200) + -2 + 0)**2 + 1.
-60*sqrt(2) + 210
Simplify (sqrt(4)/sqrt(2)*5)**2 + -3 + sqrt(162).
9*sqrt(2) + 47
Simplify (-6*(sqrt(704) + 2) - sqrt(704))**2 + 5.
1344*sqrt(11) + 34645
Simplify 0 + (sqrt(2299) - (sqrt(2299)*2 - sqrt(2299)))**2 - sqrt(2299) - ((-6*-2*sqrt(2299))**2 + sqrt(2299) - sqrt(2299)).
-331056 - 11*sqrt(19)
Simplify (sqrt(119)*-2*4)/sqrt(7).
-8*sqrt(17)
Simplify (sqrt(242) + -1)**2 - (sqrt(18) + -1).
-25*sqrt(2) + 244
Simplify -4 + (sqrt(320) - (sqrt(320)*-1)**2) + sqrt(320) - (1 + sqrt(320) + sqrt(320)*-1).
-325 + 16*sqrt(5)
Simplify (sqrt(152)/sqrt(4))/sqrt(2) + sqrt(209)/(sqrt(22)/sqrt(2)).
2*sqrt(19)
Simplify 3 + -4*(sqrt(475)*-1)**2.
-1897
Simplify (1 + sqrt(700)*-1 - sqrt(700))**2.
-40*sqrt(7) + 2801
Simplify (sqrt(13) + 3 + 0 + sqrt(13) + -1*(sqrt(13) + 0 + sqrt(13) - sqrt(13)) + -2)**2.
2*sqrt(13) + 14
Simplify 1 + -4*((1 + sqrt(11))**2 + -1).
-43 - 8*sqrt(11)
Simplify 4*(sqrt(1100) + 3 - sqrt(11)) + -5.
7 + 36*sqrt(11)
Simplify -3*(sqrt(612) + sqrt(612)*-1 - (-2 + sqrt(51)/sqrt(3)))**2.
-63 + 12*sqrt(17)
Simplify -6*sqrt(63)/(-3*sqrt(9)).
2*sqrt(7)
Simplify (3 + sqrt(1539)*3)*-4.
-108*sqrt(19) - 12
Simplify (-2*(sqrt(11) + sqrt(275))*-2)**2.
6336
Simplify ((sqrt(180)/sqrt(5))/sqrt(9))/sqrt(2).
sqrt(2)
Simplify (sqrt(384)/sqrt(4))/(sqrt(150)/sqrt(3)).
4*sqrt(3)/5
Simplify (sqrt(22)/(sqrt(11)*2))**2 + -5 + -1*sqrt(2).
-9/2 - sqrt(2)
Simplify ((sqrt(216) - sqrt(24))*-1)/((sqrt(12) - sqrt(192))*-3).
-2*sqrt(2)/9
Simplify -2 + sqrt(40)/(2*sqrt(8))*-4.
-2*sqrt(5) - 2
Simplify 4 + (sqrt(12)/sqrt(6))**2 + sqrt(2) - sqrt(16)/sqrt(2).
-sqrt(2) + 6
Simplify (1*sqrt(13) + -3 - (sqrt(39)/sqrt(3) + 1)) + 5 + (sqrt(13) - sqrt(65)/(sqrt(10)/sqrt(2))).
1
Simplify (sqrt(18)/(sqrt(18)/sqrt(2)) + sqrt(2) + sqrt(2) - ((sqrt(2) - sqrt(8)/sqrt(4)) + 4)**2) + -3.
-19 + 3*sqrt(2)
Simplify 1*sqrt(60)/sqrt(432).
sqrt(5)/6
Simplify ((sqrt(2057) + 0 - sqrt(2057)) + 1)**2.
1
Simplify (1 + sqrt(242))*-1 - (sqrt(242) + -5*(sqrt(242) - (sqrt(242) + sqrt(242) + -1)))**2.
-8738 + 649*sqrt(2)
Simplify 6*(4*(-1 + sqrt(13)))**2*1.
-192*sqrt(13) + 1344
Simplify (3 + sqrt(448)*-2)**2.
-96*sqrt(7) + 1801
Simplify sqrt(44)/(sqrt(576)*1 - sqrt(4))*6.
6*sqrt(11)/11
Simplify (1*sqrt(156)/(sqrt(84)/sqrt(7)))**2.
13
Simplify sqrt(14)/(-4*(sqrt(2) + sqrt(2)*1)) - sqrt(42)/(sqrt(18)/sqrt(3)*5).
-13*sqrt(7)/40
Simplify (-4 + (sqrt(3) + -1*sqrt(3) - sqrt(3)))**2*-1.
-19 - 8*sqrt(3)
Simplify (sqrt(3) + (2*(0 + sqrt(3)) + sqrt(3))**2 + (-2*sqrt(27))**2)*1.
sqrt(3) + 135
Simplify 3 + (sqrt(1539) - (sqrt(1539) + 1)*-6)**2.
756*sqrt(19) + 75450
Simplify (2*sqrt(600))/(sqrt(162)/sqrt(9)).
20*sqrt(3)/3
Simplify 5*sqrt(76)/sqrt(4) - -2*sqrt(76).
9*sqrt(19)
Simplify (1*(1 + sqrt(425)))**2.
10*sqrt(17) + 426
Simplify (sqrt(2) - (-4 + sqrt(10)/sqrt(5)))*-3.
-12
Simplify 0 + 5 + (-1 + sqrt(7))**2.
-2*sqrt(7) + 13
Simplify ((5*(sqrt(170)/sqrt(5) + sqrt(34)))/(2*sqrt(2)*2 + sqrt(2)))**2.
68
Simplify (1*sqrt(3264))/(sqrt(27)/sqrt(81)).
24*sqrt(17)
Simplify sqrt(252)*-1 + (sqrt(343)*-1)**2 + sqrt(7).
-5*sqrt(7) + 343
Simplify ((sqrt(304) + 2 + sqrt(19) - sqrt(19)) + 2)**2.
32*sqrt(19) + 320
Simplify 1*sqrt(243)*1.
9*sqrt(3)
Simplify (1*sqrt(77)*4 + sqrt(77))/((sqrt(28) + sqrt(56)/sqrt(2))/sqrt(4)).
5*sqrt(11)/2
Simplify ((sqrt(2448) + -1 + sqrt(2448) + 4 + sqrt(2448) - (2*sqrt(2448) + 3 - sqrt(2448)))*2)**2.
39168
Simplify (-1*(sqrt(304) - 1*sqrt(304)) + -2 + sqrt(304) + -1)**2*1.
-24*sqrt(19) + 313
Simplify sqrt(33)/sqrt(12) + sqrt(11) + (0 + sqrt(11))*-5 + -1.
-7*sqrt(11)/2 - 1
Simplify 0 + (sqrt(1152) - ((sqrt(1152)*1 - sqrt(1152)) + sqrt(1152)) - sqrt(1152))/(sqrt(81)*6).
-4*sqrt(2)/9
Simplify sqrt(704)/sqrt(4) + -3 - (5 + (sqrt(11)*1)**2 - (1 + sqrt(11))*4).
-15 + 8*sqrt(11)
Simplify sqrt(243) + -4 - 5*sqrt(18)/sqrt(6).
-4 + 4*sqrt(3)
Simplify ((0 + sqrt(50) + -3)*1*6)**2.
-1080*sqrt(2) + 2124
Simplify sqrt(34)/(sqrt(2) - sqrt(8)*-2).
sqrt(17)/5
Simplify sqrt(325) + (-1*sqrt(325) + sqrt(325) + 1)**2 + 2.
3 + 5*sqrt(13)
Simplify (sqrt(17) + sqrt(272) + 0)**2*6 + (sqrt(187) - (sqrt(187) + 1*sqrt(187)*1 - sqrt(187) - sqrt(187)))/sqrt(11).
sqrt(17) + 2550
Simplify -4*(sqrt(176)*1 + -4).
-16*sqrt(11) + 16
Simplify (-1*(sqrt(99) - sqrt(99)*1) - sqrt(99))/((sqrt(324)*1 - sqrt(324)) + sqrt(9)).
-sqrt(11)
Simplify 2*(-2*(-1 + sqrt(5)) + (0 + sqrt(605))**2).
-4*sqrt(5) + 1214
Simplify ((sqrt(20) + (-2*sqrt(80))/sqrt(4))/(sqrt(100) - sqrt(100)*-2 - sqrt(4)))**2.
5/196
Simplify (-1 + 3 + -4*sqrt(1539))**2.
-144*sqrt(19) + 24628
Simplify (2*sqrt(112) + 5)**2.
80*sqrt(7) + 473
Simplify (2 + 3 + -2*sqrt(5))**2 + (sqrt(180)*1*-1 + sqrt(180) + sqrt(180))**2.
-20*sqrt(5) + 225
Simplify -4 + -6*(5 + (sqrt(2) - (sqrt(2) - sqrt(8)/sqrt(4)))).
-34 - 6*sqrt(2)
Simplify sqrt(36)/sqrt(300) + 0.
sqrt(3)/5
Simplify (sqrt(171)/sqrt(3)*1)/(2*sqrt(108)).
sqrt(19)/12
Simplify (-4 + -2*sqrt(2) - sqrt(24)/sqrt(108))**2.
56*sqrt(2)/3 + 242/9
Simplify 4 + (2*sqrt(13) + sqrt(13))**2 + 1.
122
Simplify (-5*(sqrt(88) - sqrt(88)*-1))/(sqrt(968) - (sqrt(968) + sqrt(968) + (sqrt(968) - sqrt(968)*2)) - sqrt(8))*3.
30*sqrt(11)
Simplify (sqrt(32) + -2)**2 + sqrt(72)*-6.
-52*sqrt(2) + 36
Simplify sqrt(12)/(1*sqrt(12)/sqrt(3)).
sqrt(3)
Simplify (sqrt(120)/(sqrt(8)*1))/(3*sqrt(10)/sqrt(2) + sqrt(5) + sqrt(5)).
sqrt(3)/5
Simplify (sqrt(95) - 2*sqrt(95)*-1)/((sqrt(90)/sqrt(3))/sqrt(6)).
3*sqrt(19)
Simplify (sqrt(242) + -1 - sqrt(242))**2 - ((sqrt(32))**2 + 0).
-31
Simplify sqrt(325) - 6*(sqrt(325) - (sqrt(325) + sqrt(325) + -1 + sqrt(325))**2).
-205*sqrt(13) + 17556
Simplify -3*(2 + sqrt(63) - (sqrt(56)*1)/sqrt(8))**2.
-96 - 24*sqrt(7)
Simplify ((6*sqrt(132)*-1 - sqrt(132)) + sqrt(132))/(1*sqrt(972)) + 3.
-2*sqrt(11)/3 + 3
Simplify (-1*sqrt(847))**2 + -5.
842
Simplify -1*sqrt(55)/sqrt(5) - (5 + 2*sqrt(11)).
-3*sqrt(11) - 5
Simplify (sqrt(22) - (sqrt(22) + (sqrt(22) - sqrt(44)/sqrt(2))*3 - sqrt(22)))/(sqrt(121)/sqrt(99)).
3*sqrt(2)
Simplify -1*sqrt(50)/(-2*sqrt(1440)).
sqrt(5)/24
Simplify (0 + sqrt(117))**2 + 4.
121
Simplify 1 + sqrt(343) + sqrt(7) + -1 + -2.
-2 + 8*sqrt(7)
Simplify (sqrt(12) + (sqrt(432)*1 - sqrt(12)))/(sqrt(28)/(sqrt(28)/sqrt(4))).
6*sqrt(3)
Simplify (1*sqrt(405) - sqrt(405) - sqrt(405)) + -4 - sqrt(450)/sqrt(90).
-10*sqrt(5) - 4
Simplify (sqrt(204) + (sqrt(204)*-1 - sqrt(204))*4)/(sqrt(84)/(sqrt(21)/sqrt(3))).
-7*sqrt(17)
Simplify -2 + -2 + sqrt(2) + 1 + sqrt(8).
-3 + 3*sqrt(2)
Simplify (6*sqrt(847))**2 - (sqrt(21) + sqrt(168)/sqrt(8))/sqrt(3).
-2*sqrt(7) + 30492
Simplify 1 + (sqrt(133)/sqrt(7))**2 + (sqrt(114)/sqrt(6))**2 + -5.
34
Simplify (-2 + (sqrt(180)/sqrt(6))/sqrt(6))**2.
-4*sqrt(5) + 9
Simplify -1*(sqrt(133) - (sqrt(133) + (sqrt(133) + (sqrt(133) + 3*sqrt(133) + sqrt(133))*6 - sqrt(133))))/sqrt(7).
30*sqrt(19)
Simplify 3 + sqrt(152)/sqrt(8) + 2.
sqrt(19) + 5
Simplify ((sqrt(13) - (1 + sqrt(13)*-2))*-4)**2.
-96*sqrt(13) + 1888
Simplify sqrt(13) + ((sqrt(65)*2)/sqrt(5))**2 + (sqrt(13) - ((sqrt(130)*-1)/sqrt(10))**2).
2*sqrt(13) + 39
Simplify (4 + 1*sqrt(567) + (sqrt(567) - (4 + 1 + sqrt(567))))**2.
-18*sqrt(7) + 568
Simplify (sqrt(720)*-2)**2*-4.
-11520
Simplify sqrt(75) - (sqrt(75)*1)**2 - -2*(sqrt(3) - sqrt(75)).
-75 - 3*sqrt(3)
Simplify -2 + (1*1*sqrt(13) - (sqrt(208))**2*-5).
sqrt(13) + 1038
Simplify (((-2*sqrt(68))/sqrt(2))/sqrt(2))**2.
68
Simplify (-6*(1 + sqrt(833)))**2 + sqrt(34)/(sqrt(2)*-1 - sqrt(2)) + 4.
1007*sqrt(17)/2 + 30028
Simplify sqrt(143)/(sqrt(33)/sqrt(3)*4) - ((2*sqrt(78))/sqrt(6) - (2*sqrt(208) + sqrt(13))).
29*sqrt(13)/4
Simplify (sqrt(384) - (-2*sqrt(384) - sqrt(384)))/(sqrt(48)/(sqrt(12) | {
"pile_set_name": "DM Mathematics"
} |
Let q be (-11)/(-3) - (-4)/a. Let f be c(q). Is -2 >= f?
True
Let x be (-4)/(48/(-14)) - 0. Let k = -5.618 - -2.618. Which is greater: x or k?
x
Suppose 3 = -2*r - 1, 4*c - 3*r = 14. Suppose -w - 3*y = -0*y + 15, 5*y + 29 = -c*w. Which is greater: -9 or w?
-9
Let p(q) = -9*q + 1. Let i be p(7). Let z = i + 63. Is z < 8/17?
False
Let r be (2 + (-735)/12)*40/(-30). Which is greater: r or 85?
85
Let n = 324 - 227. Are n and 100 nonequal?
True
Let s be 3 - ((-68)/(-22) + 0). Suppose 6 = 4*a - 2*a. Which is smaller: s or a?
s
Let u = 44 - 19. Let x be 465/25 - 3/5. Let p = u - x. Is p at most as big as 7?
True
Let p = -0.04 + 2.04. Let t = 0.044 - 0.144. Is t at most as big as p?
True
Suppose h - 5*s = 16, -5*h - s + 102 = -4*s. Suppose 24 = n + p + 3*p, h = 2*n - p. Is -2/5 at most as big as n?
True
Suppose -33 = -3*a - 5*x, 63 = 4*a + 5*x + 24. Let m be 3/(-1) + 1 + a. Suppose 4 - 19 = -c + 3*g, 0 = g + m. Is c at most 4?
True
Suppose 0 = -7*k + 8*k - 5*l - 6, -3*k - 3*l = 0. Is k not equal to -3?
True
Suppose 9*b = 78 + 12. Suppose 0 = -h + 3*u + 16, -4*u - 2 - 6 = 2*h. Suppose -b*i = -6*i + h. Is i at most as big as 6/13?
True
Suppose 17*m - 18*m + 1 = 0. Let j be m/(-1) + (4 - (2 - -5)). Is -5 equal to j?
False
Let k = 274 - 217. Which is smaller: 56 or k?
56
Let k(g) be the first derivative of -g**2/2 + 8*g + 2. Let w be k(6). Suppose -5*v - 4*n + w = 0, 3*n = 3*v - n - 14. Is v not equal to -2?
True
Let j be 4/(-18) + (-58)/(-18). Suppose j*i + i = 5*m + 16, -2*i + 8 = -5*m. Which is smaller: m or 2/31?
m
Let h = 47 + -46.3. Let c = 19/5 + -18/5. Which is smaller: c or h?
c
Let h be (-142)/4 - (2/4)/(-1). Is h at least -34?
False
Let c be (-4)/(-34) + (-1 - (-7 - 1302/204)). Suppose 2*m + 50 - 5 = 3*l, 2*l = -2*m + 20. Which is smaller: c or l?
c
Suppose -240*u - 2 = -238*u. Let v be (-3 + 4)/(26/(-14)). Which is smaller: v or u?
u
Suppose -3*c - 5*v + 67 = 0, -153 = 4*c + 3*v - 224. Suppose -5*f - 43 = -3. Let a = f - -21. Which is smaller: c or a?
a
Let o = -2.588 - 0.012. Let f = o - 0.4. Is f not equal to 3/4?
True
Suppose -3*h + h - i = 188, 4*h - 2*i + 368 = 0. Let q = h - -63. Is q > -30?
False
Let g = -100 + 502/5. Which is smaller: g or -35?
-35
Let j = -0.2 - -20.2. Let q = j - 17. Let h = q + -1. Which is bigger: 0 or h?
h
Let p(b) = 28*b - 394. Let d be p(15). Are d and 24 equal?
False
Suppose 608 = -j - j. Let t be -1 + (j/84)/(-4). Which is smaller: -0.1 or t?
-0.1
Let w be (4/2 - 1) + -1. Let f be (-12)/(-10)*(-16110)/27. Let l be (2 - -1)*(4 + f/180). Which is greater: l or w?
l
Suppose 68*s - 57*s + 11 = 0. Which is greater: s or 2/867?
2/867
Let b be (4/(-14))/(1/112*-4). Let g be (-36 - -30)*(b/3 + 2). Is -29 bigger than g?
False
Let o be ((-3082)/28)/23 - -3. Which is bigger: o or 2?
2
Let u be 3/6 + 125/42. Let x = u + 1/42. Which is bigger: -3 or x?
x
Suppose 5*g + 2 = 7. Let m = 5 + -2. Suppose -m*z - 3*k = 0, 2*k = 4*z + 7 - g. Is z not equal to -1?
False
Let t = 1388/5 - 278. Let c be (-2)/(-5) + 2645/(-175). Let r = c + 15. Which is smaller: r or t?
t
Let r = -39 - -43. Let j(z) = -z**2 - 4*z - 3. Let v be j(-4). Which is smaller: r or v?
v
Let c = -8 + 13. Suppose -o = 5*x + o + 25, 0 = -c*x - o - 25. Let b = -6 - x. Which is smaller: b or -2/7?
b
Let a = -216 - -185. Let x = -32 + 34. Is x at least a?
True
Suppose -3*k + 4*a - 39 = 0, 0*a - 2*a + 6 = 0. Let x be k/(-90) + 2/(-4). Which is smaller: 2/3 or x?
x
Let s be 4/(0 - 2 - -3). Suppose -127 = 4*p + 5*y, 115 = -s*p - y - 0*y. Let g = -89/3 - p. Which is greater: -1 or g?
-1
Let z(l) = -l**2 - 4*l + 4. Let i be z(-5). Let o be (-6*(i - 1))/1. Suppose 5*k = -y - 14, 12*y - 122 = 4*k + 30. Is o not equal to y?
True
Let l(s) = s**2 - 2*s + 1. Let a be l(5). Suppose 0 = 6*n - 9*n + 48. Is n greater than or equal to a?
True
Let f be ((-63)/(-35))/(((-2)/(-30))/1). Let v(b) = -b + 29. Let t be v(f). Does t = 2?
True
Let p = 35/26 + -3/2. Which is smaller: p or 2/101?
p
Let h be (6 - (-8)/(-2))*4/14. Which is bigger: 37 or h?
37
Let x = 17 + -13. Let n be x/(-8)*6 + 2. Is 1/24 >= n?
True
Let j = 15 - 21. Let q = j - -6.6. Which is greater: -2 or q?
q
Suppose 3*h + 4*j + 252 - 72 = 0, 2*h = -5*j - 120. Let z = h - -57. Which is smaller: -2 or z?
z
Let p be (-3)/(-2)*4/6. Let x be -1 - -1 - (-825)/53625. Which is smaller: p or x?
x
Let h be (14/(-8) - -8) + -2. Are h and 4 nonequal?
True
Let k = -2 - -4. Suppose 33*v - 25 = 8. Which is smaller: k or v?
v
Suppose -4*r + 10 = 5*g - 17, 5*g + 3*r = 24. Suppose 41 = g*u - 2*c - 59, -196 = -5*u - 4*c. Suppose -4*f = u + 64. Which is smaller: -24 or f?
f
Let q = -23 - -63. Let j be (q/6)/(10/45). Let k = j + -26. Which is smaller: k or 3/2?
3/2
Let i = -34233/16 + 2138. Which is bigger: -2 or i?
i
Let x = 128/11 - 618/55. Does x = -171.1?
False
Let d be (-8)/10*(-190)/4. Suppose 0 = 3*c + m - 115, -5*c + 12*m - 16*m = -194. Is d equal to c?
True
Suppose -64*m - 378 = -43*m. Which is smaller: -166/9 or m?
-166/9
Let c be ((-18)/117 - (-40)/(-78))*3. Let f be (5/950)/(-2*c/10). Which is bigger: f or -1?
f
Let t = -44 - -50. Let p(z) = z**3 - 6*z**2 - 3*z + 14. Let m be p(t). Which is smaller: -18/7 or m?
m
Let c be (-62)/124 + 29/42. Is c at least -1?
True
Let s be 2/((-4)/2)*4. Let q = 32 - 33. Let o be (s - (-4 + -1))*q. Is o greater than or equal to 2?
False
Let u(k) = -k**3 - 5*k**2 - 6*k - 2. Let j be u(-4). Let b = j + -4. Suppose 0 = w - 3*w - b. Which is smaller: w or -2?
-2
Let k = 7094 + -7106. Let m(o) = -13*o**3 - o**2 - 9*o + 11. Let f(l) = 6*l**3 + 4*l - 5. Let i(b) = -7*f(b) - 3*m(b). Let p be i(2). Is p bigger than k?
False
Let m(k) = -14 + k**2 + 8*k + k**2 - 16*k - k**2. Let p be m(9). Let v be 37/(-5) + 6/15. Which is bigger: p or v?
p
Suppose 0 = -0*w + 3*w. Let s = -24/41 + 29606/287. Let t = -102 + s. Are w and t unequal?
True
Let w = 38 + -23. Let y = w + -1. Is y at most -0.2?
False
Suppose 0 = -7*f - 30 + 37. Which is bigger: f or 1/559?
f
Let r = -0.053 + -125.947. Let d = r + 110. Is -0.1 bigger than d?
True
Suppose -2*a + 6*w - w = 44, -32 = 2*a - 2*w. Which is bigger: -100/9 or a?
-100/9
Let w = -31.3 + 31.03. Let l = 1.33 + -0.23. Let h = l + -1. Is w greater than h?
False
Suppose 3*b + 4*a - 8 = 0, 3*b - 4*a + 3*a + 2 = 0. Suppose b - 12 = -4*q. Let z(k) = 5*k - 1. Let o be z(2). Is o > q?
True
Let s be (3/2)/((-22)/4). Let g be 3/6 + 18/(-12). Is g at least s?
False
Let w be -54 + 56 - (1 - -597). Which is smaller: w or -597?
-597
Suppose -5*p - 5835 = 4*d - 1077, -4*p = -3*d - 3584. Is -1192 less than d?
False
Let w be 32/(-3)*135/90. Is w <= -79/5?
True
Let o = 2559 - 1692. Which is smaller: 868 or o?
o
Let w = -4.05 - -0.05. Let j = 17 - w. Let i = 22 - j. Which is smaller: 2/3 or i?
2/3
Suppose 8*b = 5*b + 27. Let f = -9 + b. Which is smaller: f or -1?
-1
Let j = 33 - 27. Suppose 0 = -z - 3*x + 10, 0 = 2*z - 5*x + 4 - 2. Suppose -5*c - 4*d + 13 = 0, -c = c + z*d + 2. Which is smaller: c or j?
c
Let k = -361 + 1453/4. Let d be (-874)/(-360) - 4/10. Let f = k - d. Which is smaller: -2 or f?
-2
Let d = -33 - -42. Let i = 9.2 - d. Which is smaller: -1.1 or i?
-1.1
Suppose 0*k + 4*k - 12 = 0. Suppose 0 = g + j - 6, 0 = 4*g - k*j + 23 - 68. Suppose g = -3*p + 21. Are p and 4 equal?
True
Let s = -597.89 + 601. Let m = 0.89 + s. Which is bigger: 12 or m?
12
Let u = 0.0475 - -0.0525. Let v = 22 - 73. Which is bigger: v or u?
u
Let o be 2 - (0/4 + -1). Suppose -4*t + o = -t. Let c = -10/11 - 13/22. Is c >= t?
False
Suppose -9*x + 15 = 6. Which is smaller: x or 3/38?
3/38
Let z be ((-2)/6)/((-8)/(-6)). Let u(m) = 6 - 8 + 3 + 2*m. Let o be u(-1). Which is greater: z or o?
z
Suppose -4*p - 5 = p. Let i be ((-55)/33 - 2/(-3))*-6. Let q be (-16)/i - (p - 2). Which is smaller: q or -1?
-1
Suppose 9*k = -9 - 486. Which is smaller: -37 or k?
k
Suppose -3*c + s - 6 = -13, 5*s + 23 = 3*c. Is c <= -3/17?
False
Let k be -2*(0 - 2/6)*21. Which is bigger: k or 15?
15
Let p = 162449/225 + -722. Are p and -1 equal?
False
Let r = 42 - 36. Let f(y) = -2*y**2 + 11*y - 4. Let b be f(r). Are b and -10 non-equal?
False
Suppose 3*y - 74 = 3*r - 5, -5*r - 75 = 3*y. Let h be 46/r + 2 - 4/(-18). Which is bigger: h or -0.3?
-0.3
Let a = -47080/368057 - -2/7831. Is -1 smaller than a?
True
Let d = 2358 - 648449/275. Which i | {
"pile_set_name": "DM Mathematics"
} |
, 144
Solve -142*a**4/7 - 1710*a**3/7 - 558*a**2 + 5518*a/7 + 240/7 = 0 for a.
-8, -5, -3/71, 1
Factor 2*g**3 - 1694*g**2 + 284592*g + 32870376.
2*(g - 462)**2*(g + 77)
Determine b, given that 15*b**2 + 2001*b - 1206 = 0.
-134, 3/5
Let a**2 - 4902*a + 73305 = 0. Calculate a.
15, 4887
Suppose -2*u**2/3 - 5376*u - 16126/3 = 0. What is u?
-8063, -1
Let -3*x**2/4 + 284961*x - 27067590507 = 0. Calculate x.
189974
Factor 5*r**2 - 252690*r + 3192611805.
5*(r - 25269)**2
Factor -y**4/3 + 21611*y**3/3 + 216185*y**2/3 + 180175*y.
-y*(y - 21621)*(y + 5)**2/3
Factor a**2 - 27634*a.
a*(a - 27634)
Suppose -43*u**2 + 1635*u/2 - 2259/2 = 0. Calculate u.
3/2, 753/43
Determine l, given that l**2/2 - 78277*l/2 + 39138 = 0.
1, 78276
Determine q so that 2*q**4 + 54*q**3 + 262*q**2 - 1590*q - 1800 = 0.
-15, -1, 4
Solve i**3 + 320*i**2 - 1293*i + 972 = 0.
-324, 1, 3
Factor q**4 + 4393*q**3.
q**3*(q + 4393)
Determine t so that -t**5 + 12*t**4 + 216*t**3 - 4374*t**2 + 24057*t - 39366 = 0.
-18, 3, 9
What is r in r**5 - 120*r**4 + 864*r**3 + 14526*r**2 + 50463*r + 53946 = 0?
-3, 18, 111
Suppose 5*v**3/2 - 27235*v**2/2 + 20063820*v - 4051537560 = 0. What is v?
239, 2604
Solve -2*l**3/7 + 3900*l**2/7 + 58950*l/7 = 0 for l.
-15, 0, 1965
Let 7322436128*c**3 + 7323162224*c**2 + 726114*c + 18 = 0. What is c?
-1, -3/60508
Factor -8*h**2 + 124*h + 98532.
-4*(h - 119)*(2*h + 207)
Solve 10*h**3 + 1535*h**2 - 775*h - 770 = 0 for h.
-154, -1/2, 1
Suppose -2*l**4 - 1619968*l**3/9 - 36450359920*l**2/9 - 80993520128*l/9 - 16198560032/9 = 0. Calculate l.
-44998, -2, -2/9
Let -5*l**3 - 45005*l**2 - 89990*l = 0. Calculate l.
-8999, -2, 0
Find o, given that 2*o**4/3 + 194*o**3/3 + 1312*o**2 - 18136*o/3 + 18944/3 = 0.
-64, -37, 2
Factor 2*c**2/15 + 89276*c/5 + 2988826566/5.
2*(c + 66957)**2/15
Let -4*x**3 - 36*x**2 + 228*x + 260 = 0. Calculate x.
-13, -1, 5
Factor -3*n**3 - 6891*n**2 + 503970*n - 980352.
-3*(n - 69)*(n - 2)*(n + 2368)
Factor -3*r**3 + 12456*r**2 - 37347*r + 24894.
-3*(r - 4149)*(r - 2)*(r - 1)
Let 2*a**2/7 + 133656*a/7 + 2232990792/7 = 0. What is a?
-33414
Find i such that 5*i**4 - 2025*i**3 + 178810*i**2 + 180840*i = 0.
-1, 0, 132, 274
Let -2*y**2/9 - 13316*y/9 - 4438/3 = 0. Calculate y.
-6657, -1
What is p in 4*p**5/5 + 368*p**4/5 - 43632*p**3/5 + 128648*p**2/5 - 127892*p/5 + 42504/5 = 0?
-161, 1, 66
Factor -c**2 - 24754*c + 74271.
-(c - 3)*(c + 24757)
Find x such that -2*x**5/5 - 622*x**4/5 - 49886*x**3/5 - 236538*x**2/5 - 187272*x/5 = 0.
-153, -4, -1, 0
Suppose -21*o**5 - 387*o**4 - 1191*o**3 + 1827*o**2 + 3912*o + 1260 = 0. Calculate o.
-14, -5, -1, -3/7, 2
Factor 2*j**2/3 - 24142*j/3 + 168896/3.
2*(j - 12064)*(j - 7)/3
Factor 31*u**3/8 - 25*u**2/4 - 31*u/8 + 25/4.
(u - 1)*(u + 1)*(31*u - 50)/8
Factor y**3/3 + 526*y**2/3 - 5371*y/3 - 5896/3.
(y - 11)*(y + 1)*(y + 536)/3
Factor -u**2/9 - 413*u/9 + 416/3.
-(u - 3)*(u + 416)/9
Suppose w**2/2 + 595*w/2 - 597 = 0. What is w?
-597, 2
Factor -5*i**5 + 1860*i**4 + 5610*i**3 + 5620*i**2 + 1875*i.
-5*i*(i - 375)*(i + 1)**3
Solve 452*a**2 - 15824*a + 140 = 0 for a.
1/113, 35
Determine w, given that -w**5 - 452*w**4/3 + 1325*w**3 - 20*w**2 - 9572*w/3 - 1696 = 0.
-159, -1, -2/3, 2, 8
Solve 5*b**2 + 1304740*b + 85117323380 = 0 for b.
-130474
Find h such that 5*h**3 + 11905*h**2 + 7056595*h - 35581225 = 0.
-1193, 5
Solve z**3 - 19*z**2 + 94*z - 120 = 0.
2, 5, 12
Factor -o**4 - 2263*o**3 + 4529*o**2 - 2265*o.
-o*(o - 1)**2*(o + 2265)
Factor 2*y**2/5 - 393292*y/5 + 19334824658/5.
2*(y - 98323)**2/5
Factor 3*l**3 - 8856*l**2 - 26595*l.
3*l*(l - 2955)*(l + 3)
What is c in 3*c**2/4 + 104427*c/4 + 130515 = 0?
-34804, -5
Find f, given that -f**3 + 2116*f**2 + 2119*f - 4234 = 0.
-2, 1, 2117
Suppose x**2/3 - 16342*x/3 + 66765241/3 = 0. What is x?
8171
Solve -6*j**3/11 - 346352*j**2/11 - 115450*j/11 = 0.
-57725, -1/3, 0
Solve l**4/7 - 388*l**3/7 - 389*l**2/7 = 0.
-1, 0, 389
Solve -5*v**2 + 73215*v = 0.
0, 14643
Find z such that -997*z**4 + 995*z**3 + 999*z**2 - 995*z - 2 = 0.
-1, -2/997, 1
Factor y**2/4 - 3369*y/4 + 842.
(y - 3368)*(y - 1)/4
Suppose 4*f**2 + 129996*f - 130000 = 0. What is f?
-32500, 1
Suppose p**2/6 - 327959*p/3 + 107557105681/6 = 0. What is p?
327959
What is b in b**2/3 + 4952*b/3 + 19792/3 = 0?
-4948, -4
Suppose 2*u**3/5 - 304*u**2/5 + 6442*u/5 - 11684/5 = 0. What is u?
2, 23, 127
Determine i, given that 3*i**2 - 41139*i + 41136 = 0.
1, 13712
Factor v**2/4 - 272*v - 1641.
(v - 1094)*(v + 6)/4
Factor -5*r**2 + 15515*r + 804270.
-5*(r - 3154)*(r + 51)
Solve 3*n**4 + 658*n**3 - 3815*n**2 + 2250*n = 0.
-225, 0, 2/3, 5
Find n, given that n**5/2 + 743*n**4/2 + 2211*n**3/2 - 6655*n**2/2 + 1850*n = 0.
-740, -5, 0, 1
Suppose 14659488*s**3 - 692208*s**2 + 1050*s + 196 = 0. What is s?
-2/141, 7/228
Factor 115*b**2 - 21195*b - 14800.
5*(b - 185)*(23*b + 16)
Solve -2*s**2/3 + 322*s/3 - 8060/3 = 0 for s.
31, 130
Factor 2*v**2/11 + 96*v/11 + 504/11.
2*(v + 6)*(v + 42)/11
Factor 2*j**3 + 92*j**2 + 1392*j + 6912.
2*(j + 12)*(j + 16)*(j + 18)
Determine d, given that d**4/4 - 2849*d**3/2 + 24160*d**2 - 178911*d/2 - 460161/4 = 0.
-1, 9, 5681
Determine x so that -4*x**3 + 15071*x**2 - 14194056*x - 3549456 = 0.
-1/4, 1884
Find c, given that 5*c**2 - 3055*c - 50160 = 0.
-16, 627
Factor -4*o**3 + 1752*o**2 - 10400*o + 13824.
-4*(o - 432)*(o - 4)*(o - 2)
Factor o**3/3 - 2816*o**2/3 - 3760*o.
o*(o - 2820)*(o + 4)/3
Solve -a**4 + 938*a**3 + 1885*a**2 - 4694*a - 5640 = 0 for a.
-3, -1, 2, 940
Determine t so that 8*t**3 - 789496*t**2 - 789502*t - 197376 = 0.
-1/2, 98688
Suppose 5*x**3 + 560*x**2 + 8225*x + 14250 = 0. What is x?
-95, -15, -2
What is y in -2*y**4 - 164*y**3 - 1002*y**2 + 3960*y + 27000 = 0?
-75, -6, 5
Solve 4*l**3 - 129624*l**2 + 1050019200*l + 2100556928 = 0 for l.
-2, 16204
Factor -3*j**3/4 + 75*j**2 + 12183*j/4.
-3*j*(j - 131)*(j + 31)/4
Let -100*q**4 - 108520*q**3 - 238416*q**2 - 168984*q - 38988 = 0. What is q?
-1083, -1, -3/5
Find a such that -2*a**3/11 - 1152*a**2/11 + 9474*a/11 + 75920/11 = 0.
-584, -5, 13
Let -3*x**5/7 - 972*x**4/7 - 101922*x**3/7 - 3112884*x**2/7 + 36038925*x/7 - 32823144/7 = 0. Calculate x.
-111, 1, 8
Solve -3*h**3/5 + 141939*h**2/5 - 335820573*h + 1007206245 = 0.
3, 23655
Factor k**3/7 - 733*k**2/7 - 4*k/7 + 2932/7.
(k - 733)*(k - 2)*(k + 2)/7
Factor -5*u**3 - 2875*u**2 - 366715*u + 369595.
-5*(u - 1)*(u + 193)*(u + 383)
Factor -34*d**2 - 11392*d + 22920.
-2*(d - 2)*(17*d + 5730)
Find l such that l**2/8 + 2314*l + 129535/8 = 0.
-18505, -7
Solve 6*n**4/5 - 1344*n**3/5 + 7848*n**2/5 + 192*n/5 - 41856/5 = 0 for n.
-2, 4, 218
Let 7*b**3 + 646*b**2 - 1811*b - 570 = 0. What is b?
-95, -2/7, 3
What is k in 196*k**5 + 1260*k**4 + 3173*k**3 + 3928*k**2 + 2397*k + 578 = 0?
-2, -17/14, -1
Factor -5*a**2 + 160310*a - 1284964805.
-5*(a - 16031)**2
Let 8*j**3/7 + 5082*j**2 - 420434*j + 733536/7 = 0. What is j?
-4528, 1/4, 81
Find a, given that 2*a**2/13 + 210904*a/13 + 210902/13 = 0.
-105451, -1
Factor 3*s**2/8 - 9*s/8 - 2490.
3*(s - 83)*(s + 80)/8
Let 2*t**4 - 303896*t**3 - 1215606*t**2 - 1519516*t - 607808 = 0. What is t?
-2, -1, 151952
Solve 5*r**5 + 14270*r**4 + 409475*r**3 - 423750*r**2 = 0.
-2825, -30, 0, 1
Factor 2*h**3 + 28296*h**2 + 113160*h + 113152.
2*(h + 2)**2*(h + 14144)
Factor -4*f**3/9 + 140*f**2/3 - 544*f/3 - 573376/9.
-4*(f - 68)**2*(f + 31)/9
Suppose -2*j**2/11 + 40*j/11 - 150/11 = 0. What is j?
5, 15
Suppose 2*s**3/9 - 134*s**2/9 + 944*s/9 = 0. Calculate s.
0, 8, 59
Solve -4*c**4 - 2632*c**3 + 880704*c**2 + 947347272*c + 171997783236 = 0.
-417, 593
Let j**2 + 8*j + 12 = 0. What is j?
-6, -2
Solve -3*v**3/8 + 294123*v**2/8 + 147066*v + 294135/2 = 0 for v.
-2, 98045
Suppose 4*h**2 - 2640*h + 301644 = 0. What is h?
147, 513
Solve -2*h**4 + 356*h**3 - 22746*h**2 + 606680*h - 5496776 = 0 for h.
19, 43, 58
Solve 25*w**4/3 + 177680*w**3/3 - 284452*w**2 + 597392*w/3 - 113792/3 = 0.
-7112, 2/5, 4
Factor 3*n**4/5 + 5529*n**3/5 + 508944*n**2 - 2550252*n/5.
3*n*(n - 1)*(n + 922)**2/5
Find f, given that -3*f**2 - 32190*f - 64368 = 0.
-10728, -2
Factor c**2/6 + 1225*c/3 + 28536.
(c + 72)*(c + 2378)/6
Factor 4*h**4/5 - 884*h**3/5 + 25432*h**2/5.
4*h**2*(h - 187)*(h - 34)/5
Factor 5*t**5/2 + 5150*t**4 + 2626375*t**3 - 26651250*t**2 + 133903125*t/2.
5*t*(t - 5)**2*(t + 1035)**2/2
Factor -2*f**2/19 + 460464*f/19 + 9 | {
"pile_set_name": "DM Mathematics"
} |
34. Let s(i) = -13*i - 52. Give -7*k(v) + 5*s(v).
-9*v - 22
Let v(b) = b**2 - b + 1. Let q(c) = -c**3 - 2*c**2 + 2*c - 6. What is q(z) + 5*v(z)?
-z**3 + 3*z**2 - 3*z - 1
Let j(d) be the third derivative of 7*d**4/24 + 4*d**3/3 + 7*d**2 - 10. Let o(f) = -3*f - 4. Determine -2*j(x) - 5*o(x).
x + 4
Let w(p) be the first derivative of -12*p**3 + 19. Let o(g) = -g**3 + 6*g**2 + g - 2. Let i be o(5). Let j(h) = 4*h**2. Determine i*j(u) + 3*w(u).
4*u**2
Let n(x) = -67*x - 424. Let w(f) = -31*f - 212. What is 6*n(d) - 13*w(d)?
d + 212
Let k(f) = -2*f**3 - 4*f**2 + f + 3. Let u(l) = -l**2 + l + 1. What is k(r) - 3*u(r)?
-2*r**3 - r**2 - 2*r
Let v(y) = -2*y**2 + 3*y + 4. Let m be v(3). Let x = -2538 + 2537. Let o(f) = f**3 - f**2 - 1. Let a(t) = -3*t**3 + 5*t**2 + 4. Determine m*o(i) + x*a(i).
-2*i**3 + 1
Let f(j) = j**3 + j**2. Let l(t) = t**3. Let y be (-1 - 0) + 0 - 0. Suppose 11 = 5*k - 2*b, b - 3 = -2*k + 5. Give k*f(c) + y*l(c).
2*c**3 + 3*c**2
Let l = -2747 + 2758. Let n(s) = 4*s + 5. Let f(a) = a - 1. Let j be f(3). Let k(v) = -v - 1. Determine j*n(o) + l*k(o).
-3*o - 1
Let n(k) = 3*k - 2 - 3*k + 2*k. Let c(g) = 1. Let t(f) = 3*c(f) + n(f). Let q(z) = 3*z + 13. Let d be q(-8). Let j(v) = 10*v + 5. What is d*t(y) + 2*j(y)?
-2*y - 1
Let n(c) = -c + 18. Let q(j) = -20. Let b(i) = -7. Let m(k) = 14*b(k) - 5*q(k). Suppose 6 = -2*s + 16. Suppose 0*g = s*g - 90. Determine g*m(d) - 2*n(d).
2*d
Let g(s) be the first derivative of -s**3/3 + s + 319. Let u(i) = 7*i**2 - 2*i - 9. What is 6*g(w) + u(w)?
w**2 - 2*w - 3
Let c(f) = -6*f - 1. Let i(v) = -3*v + 4. What is -2*c(g) - i(g)?
15*g - 2
Let i(a) = 8*a**2 - 1. Let r(f) be the second derivative of -7*f**4/12 + f**2/2 - 73*f. Give -6*i(d) - 7*r(d).
d**2 - 1
Let k(y) = -2*y**2 + 5*y + 5. Let q(o) = -o**2 + 2*o + 2. Let h = 495 - 491. What is h*k(t) - 10*q(t)?
2*t**2
Let n(s) be the second derivative of s**4/3 + s**3/2 - 7*s**2 - 192*s. Let h(i) = 6*i**2 + 5*i - 21. Determine -5*h(d) + 8*n(d).
2*d**2 - d - 7
Let z(d) = -d**2 - 3. Let n(q) = 4*q**2 + 11. Let o(l) = 5*l**2 - 1. Let r be o(-1). Let w be ((-80)/24)/(1/6). Let y be w/(-3) - r/6. What is y*n(x) + 22*z(x)?
2*x**2
Let m(p) = -13*p - 3. Let l(z) = 13*z + 3. What is 5*l(a) + 4*m(a)?
13*a + 3
Let x(i) be the third derivative of -i**4/12 + i**3/2 - 64*i**2. Let c(z) = -z + 3. Determine -3*c(n) + 2*x(n).
-n - 3
Let l(j) = 7*j**3 + 6*j**2 + 5*j - 6. Suppose -p + 33 = 17. Suppose -m = -3*q, -4*m = q - 5*q - p. Let r(g) = -6*g**3 - 5*g**2 - 4*g + 5. Give m*r(o) + 5*l(o).
-o**3 + o
Suppose -2*g = -5*p + 18, -2*p = -g - 3*g - 4. Let o(q) = 2*q + 1. Let a(f) be the first derivative of f**2/2 + 65. Calculate g*o(t) - 3*a(t).
-t + 1
Let x(o) = -116*o**2 + 2*o - 9. Let b(g) = g - 2. Calculate 4*b(r) - x(r).
116*r**2 + 2*r + 1
Let j(q) = 8*q**3 + 4*q**2 - 8*q. Let i(m) be the second derivative of 23/6*m**3 - 23/20*m**5 + 0*m**2 - 11/12*m**4 - 3*m + 0. Determine 6*i(n) + 17*j(n).
-2*n**3 + 2*n**2 + 2*n
Let i(w) = 2*w**3 + 5*w**2 + 10. Let h(r) = -r**3 + r**2 - 1. Calculate -4*h(x) - i(x).
2*x**3 - 9*x**2 - 6
Let h(i) = 3*i**3 + 20*i**2 + 8. Let l(d) = 17*d**3 + 100*d**2 + 41. Calculate 11*h(m) - 2*l(m).
-m**3 + 20*m**2 + 6
Let y(i) = -30*i**3 + 3*i**2 - i + 2. Let f(j) = j**3 - j**2 + j - 2. Determine -3*f(c) - y(c).
27*c**3 - 2*c + 4
Let k(t) = -1209*t**3 - 4. Let d(j) = -3626*j**3 - 13. Determine -4*d(a) + 13*k(a).
-1213*a**3
Let f(u) = 4*u + 10. Let x(w) = -5*w - 11. Let j(l) = 7*f(l) + 6*x(l). Let p(b) = 2 + 7 + 2 - 16 + 2*b. Give 6*j(g) + 5*p(g).
-2*g - 1
Let s(p) be the second derivative of -7*p**2 + 0 - 5/3*p**3 + 4*p. Let z(k) be the first derivative of -k**2/2 - k - 14. Determine -s(o) + 12*z(o).
-2*o + 2
Let h(f) = -4*f**3 - 3*f**2 - 5. Let y(j) = -7*j**3 - 5*j**2 - 9. Let z(v) = v**3 - 5*v**2 + 4*v + 1. Let k = -112 - -115. Let d be z(k). Give d*h(c) + 3*y(c).
-c**3 - 2
Let t(u) = 2*u**2 - 1. Let g(b) = 7*b**2 + 2*b + 7. Determine g(o) - 4*t(o).
-o**2 + 2*o + 11
Let g(s) = 7*s + 1. Let o be 7/((-63)/(-6))*(-78)/4. Let x = o - -19. Let n(b) = -13*b - 2. Calculate x*n(j) + 11*g(j).
-j - 1
Let m(b) = -2*b**3 - b**2 - 4*b - 1. Let g(u) = -6*u**3 - 2*u**2 - 12*u - 3. Calculate 2*g(a) - 7*m(a).
2*a**3 + 3*a**2 + 4*a + 1
Let p(r) = -6*r**2 + 4*r - 1. Let m(a) = -5*a**2 + 3*a - 1. Let u be (0/(-2))/(6/3) - -2. Suppose -u*t = 3*t - 15. Give t*m(o) - 2*p(o).
-3*o**2 + o - 1
Let f(c) = -c**3 - 11*c**2 + 21*c - 6. Let l(q) = 1 - 4*q + 0 + 2*q**2 + 0. Let w = 342 - 201. Suppose 9 = 12*t + w. Determine t*l(k) - 2*f(k).
2*k**3 + 2*k + 1
Suppose 4*q = -35 - 37. Let l be 2/2 + -4 + (-427)/(-61). Let o(n) = n**3 + 2*n**2. Let m(x) = 9*x**2 + 2*x**3 + 2*x**3 + x**3. Determine l*m(z) + q*o(z).
2*z**3
Let g(v) = v**2 + 2*v - 2. Let y(d) = d**3 + 4*d**2 - 4*d + 7. Let z be y(-5). Let l(o) = -8*o - 3*o - 173*o**z + 11 + 167*o**2. Calculate -22*g(a) - 4*l(a).
2*a**2
Let p(q) = 1 + q**3 + 0 - 2*q**2 - 3*q + 4*q**2. Let h(u) be the second derivative of u**3/6 - 84*u. Determine -3*h(y) - p(y).
-y**3 - 2*y**2 - 1
Let s(q) = -4*q**2 + 2*q - 9. Let j(c) = 9*c**2 - 5*c + 18. Let a be -2*(0 + 15/6). Give a*s(p) - 2*j(p).
2*p**2 + 9
Let x = -234 + 231. Let z(y) = 7*y**3 + 8*y**2 - 8*y - 14. Let t(f) = 2*f**3 + 3*f**2 - 3*f - 5. Give x*z(v) + 8*t(v).
-5*v**3 + 2
Let j(a) = 248*a**3 - 3*a**2. Let s(u) = 20335*u**3 - 245*u**2. Calculate 245*j(c) - 3*s(c).
-245*c**3
Let c(f) = -7*f - 1. Let q(h) be the second derivative of 0 + 34*h - 1/6*h**3 + 0*h**2. What is -c(s) + 3*q(s)?
4*s + 1
Let j(f) = 5 - 8*f - 16 + 9. Let k(x) = x - 30 + 30. Calculate -j(i) - 6*k(i).
2*i + 2
Let d = -667 + 747. Let r(q) = 352*q**2 + 80*q. Let u(b) = 13*b**2 + 3*b. What is d*u(a) - 3*r(a)?
-16*a**2
Let t(s) = 3*s**2 - s + 4. Suppose 5*p + 5 = -3*d + 87, -5 = 5*d. Let w(n) be the first derivative of 3*n**3 - 3*n**2/2 + 11*n - 105. What is p*t(b) - 6*w(b)?
-3*b**2 + b + 2
Let u(f) = -10*f - 27. Let k(d) = -5*d - 13. Calculate -5*k(p) + 2*u(p).
5*p + 11
Let f(o) = 1754*o - 4. Let w(k) = 126280*k - 287. Calculate 287*f(h) - 4*w(h).
-1722*h
Let l(q) = -15*q**2 - 17*q. Let d(v) = 22*v**2 + 25*v. Let o(w) = 5*d(w) + 7*l(w). Let j(b) = 20*b**2 + 34*b**2 - b - 55*b**2. Calculate -6*j(h) - o(h).
h**2
Let f(m) = 429*m**2. Let t(q) = 86*q**2. What is 5*f(u) - 26*t(u)?
-91*u**2
Let z(y) = 1 + 0 + 1 + 2*y + 3*y**2 - 3 + 0. Let r(l) = -9*l**2 - 7*l + 3. Determine -2*r(w) - 7*z(w).
-3*w**2 + 1
Let a(d) = -d. Let x(g) = -2*g**3 - g**2 + g + 2. Suppose -2*j + 14 = -4*z, -6*z + 4*z - 10 = -4*j. Calculate j*x(o) + a(o).
-2*o**3 - o**2 + 2
Let a = -15 - -47. Suppose 52 = -30*f + a*f. Let l(s) = -2 - 3 - 7*s**2 + 21*s + 7*s**3 - f*s. Let c(i) = 4*i**3 - 4*i**2 - 3*i - 3. Calculate 5*c(z) - 3*l(z).
-z**3 + z**2
Let t(m) = m. Suppose -o = -0*o + 1. Suppose -32*b + 82 = -142 + 64. Let n(g) = 6*g + 4. Calculate b*t(l) + o*n(l).
-l - 4
Let g(b) = -b. Let s(h) = 21*h - 11. Determine g(i) - s(i).
-22*i + 11
Let l(z) be the first derivative of -z**4/4 - 2*z**3/3 - 2*z - 72. Suppose 3 = h + 5. Let c(y) = y**3 + y**2 + 1. What is h*c(a) - l(a)?
-a**3
Let l(h) be the first derivative of -h**2/2 - h + 102. Let g(a) = -a - 1. Let k = 3 + 1. Let s be (4/(-6))/((-1)/(-3)). What is k*l(o) + s*g(o)?
-2*o - 2
Suppose -5*l + 3*l = -3*l. Suppose l = 3*x + 25 + 8. Let p(z) = -8*z - 6. Let i(m) = 15*m + 11. What is x*p(w) - 6*i(w)?
-2*w
Let c(f) = -6*f**2 - 11*f + 9. Let j(k) = 14*k**2 + 8*k - 6. Let o(u) = -6*u**2 - 4*u + 3. Let y(v) = 2*j(v) + 5*o(v). Determine 3*c(z) - 8*y(z).
-2*z**2 - z + 3
Let u(f) = -4*f - 20. Let x be u(-4). Let k(d) = 11*d + 7. Let s(m) = 5*m + 3. Give x*k(g) + 9*s(g).
g - 1
Let l(u) = 9*u**2 + 4*u - 3. Suppose 4*k - 7 = 3*q, 4*k - 21 = -3*q + k. Let d(a) = 4*a**2 + q*a - a - 2 + 1. Calculate -5*d(z) + 2*l(z).
-2*z**2 - 2*z - 1
Let r(p) = -2*p**3 + 4*p**2 + 5*p + 2. Let t(d) = -34*d**2 - 29*d**2 - 6 + 51*d**2 - 14*d + 8*d**3 - 2*d**3. Calculate -14*r(w) - 5*t(w).
-2*w**3 + 4*w**2 + 2
Suppose 6 = -2*m + b - 11, 3*m - b = -23. Let k = -159 + 160. Let u(r) = 3*r. Let o(h) = h. What is k*u(p) + m*o(p)?
-3*p
Let w(o) = -7*o**2 - 2*o + 4. Let s(y) be the first derivative of -7*y**3/3 - 3*y**2/2 + 5*y - 265. Give 4*s(n) - 5*w(n).
7*n**2 - 2*n
Let w(u) = -196*u + 4. Let j(g) = 196*g - 6. What is 2*j(y) + 3*w(y)?
-196*y
Let q(b) = 182* | {
"pile_set_name": "DM Mathematics"
} |
placement from xffexifwxfifxcxx?
1/560
Three letters picked without replacement from {a: 3, j: 5}. What is prob of sequence jaj?
5/28
Two letters picked without replacement from yrddcdcdcbdd. What is prob of sequence dc?
3/22
Four letters picked without replacement from {g: 4, c: 1, q: 2, i: 2, w: 6, m: 2}. What is prob of sequence iqic?
1/14280
Calculate prob of sequence zb when two letters picked without replacement from bspnzbbppppzzzzszp.
1/17
What is prob of sequence fffy when four letters picked without replacement from {f: 11, y: 3}?
45/364
Three letters picked without replacement from ccccccccccccctcccc. What is prob of sequence ctc?
1/18
What is prob of sequence zlgh when four letters picked without replacement from hzlgh?
1/60
What is prob of sequence jra when three letters picked without replacement from tbrdrabrrdajr?
5/858
Two letters picked without replacement from {z: 7, w: 2, g: 4}. What is prob of sequence zw?
7/78
Calculate prob of sequence ql when two letters picked without replacement from {f: 1, j: 3, q: 6, b: 2, l: 2}.
6/91
Two letters picked without replacement from tlttltt. What is prob of sequence tl?
5/21
What is prob of sequence nzam when four letters picked without replacement from {z: 3, n: 2, a: 6, m: 2}?
3/715
Two letters picked without replacement from {n: 3, j: 3, s: 2, i: 1, h: 1}. What is prob of sequence jh?
1/30
Three letters picked without replacement from {m: 9, w: 2, e: 2}. Give prob of sequence mmw.
12/143
Four letters picked without replacement from tkwwwkhwwktuwkkkwww. Give prob of sequence ktwu.
3/2584
Calculate prob of sequence xiim when four letters picked without replacement from miwxmmmimmmmmm.
5/6006
Two letters picked without replacement from nqqnqqqnnqnnqrqqnr. What is prob of sequence rq?
1/17
Three letters picked without replacement from mggggguggpwumggguuug. Give prob of sequence mum.
1/684
Three letters picked without replacement from {i: 10}. What is prob of sequence iii?
1
Three letters picked without replacement from {s: 1, c: 1, o: 1, y: 2}. Give prob of sequence yoc.
1/30
Two letters picked without replacement from {b: 4, r: 2}. What is prob of sequence bb?
2/5
Calculate prob of sequence nne when three letters picked without replacement from {m: 5, n: 8, q: 1, t: 2, k: 3, e: 1}.
7/855
Two letters picked without replacement from rkrfrbkrvrrrmfmbr. What is prob of sequence kr?
1/17
Calculate prob of sequence knk when three letters picked without replacement from eeneooyooookykknooy.
2/969
What is prob of sequence eo when two letters picked without replacement from bobeeceeeobeeece?
3/40
What is prob of sequence ddqd when four letters picked without replacement from {d: 2, q: 6}?
0
Two letters picked without replacement from xdpdfplxxfrp. Give prob of sequence fx.
1/22
Calculate prob of sequence bj when two letters picked without replacement from {x: 1, q: 1, b: 1, j: 2}.
1/10
Four letters picked without replacement from {b: 6, n: 7, h: 6}. Give prob of sequence bhnb.
35/2584
Four letters picked without replacement from {w: 8, s: 6, g: 1}. Give prob of sequence wsgs.
2/273
Calculate prob of sequence rren when four letters picked without replacement from arraeaan.
1/840
What is prob of sequence jjjw when four letters picked without replacement from wjjjrjrjrwrw?
1/66
Calculate prob of sequence ui when two letters picked without replacement from {b: 1, a: 2, u: 1, q: 4, i: 2}.
1/45
What is prob of sequence vl when two letters picked without replacement from lllvvv?
3/10
Three letters picked without replacement from {b: 7, s: 1, v: 4, t: 1}. Give prob of sequence vsv.
1/143
Four letters picked without replacement from {e: 1, k: 4, z: 2}. What is prob of sequence kekk?
1/35
Two letters picked without replacement from {q: 6, m: 4, y: 7}. What is prob of sequence qy?
21/136
What is prob of sequence rr when two letters picked without replacement from {v: 2, l: 5, r: 6, b: 2, t: 1}?
1/8
Two letters picked without replacement from xdtxdxddxdxfqxtx. What is prob of sequence qx?
7/240
Three letters picked without replacement from cigrpccc. What is prob of sequence cgp?
1/84
Two letters picked without replacement from {x: 1, o: 2}. What is prob of sequence ox?
1/3
Four letters picked without replacement from {l: 4, w: 7}. What is prob of sequence wwlw?
7/66
Four letters picked without replacement from {q: 6, w: 1, a: 2, e: 7, p: 2}. Give prob of sequence qaea.
7/6120
Calculate prob of sequence dvzn when four letters picked without replacement from vznvzzntzvndtnvv.
1/546
Calculate prob of sequence iz when two letters picked without replacement from {z: 5, i: 5}.
5/18
What is prob of sequence nii when three letters picked without replacement from {i: 3, x: 2, n: 3}?
3/56
What is prob of sequence xxdn when four letters picked without replacement from {d: 1, x: 3, n: 11}?
11/5460
Two letters picked without replacement from ppvpppvpvvvvpppv. Give prob of sequence pv.
21/80
Four letters picked without replacement from pivxvppxpixizxpxzv. What is prob of sequence ivpi?
1/816
Two letters picked without replacement from {o: 4, v: 4, x: 1, s: 6, m: 1}. What is prob of sequence sm?
1/40
Two letters picked without replacement from wsw. What is prob of sequence ws?
1/3
What is prob of sequence ypy when three letters picked without replacement from {k: 1, s: 1, e: 2, y: 9, p: 4}?
6/85
Two letters picked without replacement from rrj. What is prob of sequence jr?
1/3
Two letters picked without replacement from {d: 2, m: 1, l: 1, z: 8, i: 2}. Give prob of sequence ml.
1/182
Calculate prob of sequence lv when two letters picked without replacement from vrvl.
1/6
Four letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqqq.
1
Calculate prob of sequence ccy when three letters picked without replacement from {c: 3, q: 2, y: 10}.
2/91
Two letters picked without replacement from {x: 5, k: 9}. Give prob of sequence kx.
45/182
Three letters picked without replacement from {e: 8, d: 8, f: 1, s: 1}. What is prob of sequence dfe?
2/153
Two letters picked without replacement from dddddddddddddddmdd. Give prob of sequence dd.
8/9
Calculate prob of sequence lt when two letters picked without replacement from {s: 3, x: 4, l: 1, t: 5, c: 6, w: 1}.
1/76
Two letters picked without replacement from {i: 3, r: 7, q: 2}. What is prob of sequence qq?
1/66
Calculate prob of sequence il when two letters picked without replacement from {g: 3, l: 5, i: 1, n: 1}.
1/18
Four letters picked without replacement from ryyyyvrxo. Give prob of sequence yvyo.
1/252
Calculate prob of sequence yhf when three letters picked without replacement from hqqnynhfqn.
1/360
What is prob of sequence vf when two letters picked without replacement from {f: 2, v: 2}?
1/3
Calculate prob of sequence uiiu when four letters picked without replacement from {u: 2, i: 5}.
1/21
Calculate prob of sequence eh when two letters picked without replacement from aeteha.
1/15
Three letters picked without replacement from phfpfhzhfph. Give prob of sequence fpp.
1/55
Calculate prob of sequence qa when two letters picked without replacement from qqaaaska.
1/7
Calculate prob of sequence fd when two letters picked without replacement from fdfdfdffdf.
4/15
Calculate prob of sequence st when two letters picked without replacement from qpqksqcpqqqqsqqqqpt.
1/171
What is prob of sequence fy when two letters picked without replacement from {j: 1, i: 1, f: 1, y: 4, h: 2, m: 3}?
1/33
Two letters picked without replacement from {t: 4, n: 6, u: 4}. Give prob of sequence tn.
12/91
Four letters picked without replacement from nnhhunrnhnnnnnnnnun. Give prob of sequence hhnu.
13/7752
Four letters picked without replacement from rryyyyrywwdw. Give prob of sequence rwrd.
1/660
Calculate prob of sequence drr when three letters picked without replacement from zrfrrzzdzz.
1/120
Calculate prob of sequence zzzo when four letters picked without replacement from zzzoozoooozgogoooz.
5/306
What is prob of sequence pp when two letters picked without replacement from {y: 2, p: 18}?
153/190
What is prob of sequence ww when two letters picked without replacement from {w: 10}?
1
Four letters picked without replacement from wjzjzzjeyjyjejzz. Give prob of sequence jyez.
1/364
Two letters p | {
"pile_set_name": "DM Mathematics"
} |
/5*o**3 - 60 - 3/5*o**4 - 423/5*o**2 = 0.
-10, -1
Let t(y) be the third derivative of 9*y**2 - 1/2*y**3 + 0 + 0*y - 1/20*y**5 - 1/4*y**4. Solve t(l) = 0.
-1
What is y in -6/13*y**2 + 0*y + 2/13*y**3 + 8/13 = 0?
-1, 2
Factor 202*s - 3*s**3 - 6*s**3 - 3*s**3 + 32 + 80*s**2 - 78*s.
-4*(s - 8)*(s + 1)*(3*s + 1)
Find j such that 21 - 22*j**2 - 46 + 45*j - 5*j**3 + 7*j**2 = 0.
-5, 1
Let p(x) be the third derivative of 3/16*x**4 + 34*x**2 + 0 + 1/4*x**3 + 0*x - 1/10*x**5. Determine g, given that p(g) = 0.
-1/4, 1
Suppose 5*d - 2*d = 6. Let l = 11 + -9. Factor 0*n + 2*n - l*n**d - 5*n - n**2.
-3*n*(n + 1)
Determine i, given that -4/9*i - 2/9 - 2/9*i**2 = 0.
-1
Let u(k) be the second derivative of -k**6/72 - k**5/8 + 5*k**4/6 + 5*k**3/6 - 14*k. Let q(x) be the second derivative of u(x). Factor q(v).
-5*(v - 1)*(v + 4)
Let k(o) be the first derivative of o**8/560 - o**6/40 - o**5/20 + 8*o**3/3 + 21. Let w(s) be the third derivative of k(s). What is y in w(y) = 0?
-1, 0, 2
Let c be 6/27 + 7/9. Suppose -x = -4 + c. Find k, given that 6*k + 3*k - 150*k**x + 972*k**5 - 243*k**4 - k - 135*k**4 + 32*k**2 = 0.
-2/9, 0, 1/3, 1/2
Let n(s) be the third derivative of -5*s**8/48 + 22*s**7/21 - 19*s**6/24 - 83*s**5/6 - 40*s**4/3 + 80*s**3/3 - 134*s**2 + 1. Find p such that n(p) = 0.
-1, 2/7, 4
Let j = -2/125 + 35629/250. Let g = -142 + j. Factor -1/4*n**3 + 0 + g*n**4 + 0*n**2 - 1/4*n**5 + 0*n.
-n**3*(n - 1)**2/4
Let i(k) = -2*k**2 + 42*k - 37. Let s be i(20). Let l = 1 - -1. Factor -3*o**3 + 2*o**s + o**3 - o**3 + 2*o**l - o.
-o*(o - 1)**2
Suppose -2/11*r**4 - 96/11 - 14*r**2 + 20*r + 32/11*r**3 = 0. What is r?
1, 6, 8
Let l(h) = h**2 + 11*h + 9. Let x be l(-11). Let t be (6/x)/(-1)*18/(-10). Find r, given that 3/5 + t*r + 3/5*r**2 = 0.
-1
Let y(i) be the second derivative of i**6/30 - 2*i**5/15 + i**4/6 + 7*i**2/2 + 9*i. Let g(x) be the first derivative of y(x). Factor g(f).
4*f*(f - 1)**2
Let m(i) be the third derivative of -i**5/420 - i**4/3 - 55*i**3/42 - 428*i**2. Factor m(k).
-(k + 1)*(k + 55)/7
Let a(b) be the first derivative of 0*b - 4*b**2 - 1 + 2/3*b**3. Factor a(j).
2*j*(j - 4)
Let m = 55 + -55. Let h be m/(5 - (-1 - (-4 - -1))). Factor 3/5*i**3 - 3/5*i**5 + 3/5*i**2 - 3/5*i**4 + h*i + 0.
-3*i**2*(i - 1)*(i + 1)**2/5
Let f(a) be the third derivative of a**8/1120 - a**7/560 + 2*a**3/3 - 2*a**2. Let d(c) be the first derivative of f(c). Factor d(r).
3*r**3*(r - 1)/2
Let y = 4 - 57. Let x = 213/4 + y. Factor x*p + 1/4*p**2 - 1/4*p**3 - 1/4*p**4 + 0.
-p*(p - 1)*(p + 1)**2/4
Factor -1/7*m**2 - 28 + 4*m.
-(m - 14)**2/7
Let -36*h - 10*h**3 + 70*h - 29*h - 2 + 64*h**2 + 22 - 79*h = 0. Calculate h.
2/5, 1, 5
Suppose -569*b + 3495 = 411*b - 11205. Factor b*r**2 + 23/2*r**3 + 2*r - 4 + 5/2*r**4.
(r + 1)*(r + 2)**2*(5*r - 2)/2
Let f = -13521/3091 - -3/281. Let k = 188/33 + f. Find c, given that -2/3*c**4 - 2/3 + 2/3*c**5 - k*c**3 + 2/3*c + 4/3*c**2 = 0.
-1, 1
Let w(s) be the first derivative of -33*s**5/20 + s**4/2 + 13*s - 29. Let d(y) be the first derivative of w(y). Factor d(g).
-3*g**2*(11*g - 2)
Find c, given that 221/9*c + 35/9*c**3 - 107/3*c**2 + 578/9 - 1/9*c**4 = 0.
-1, 2, 17
Suppose 4*w + 0 = 4*d + 4, -13 = -3*d - w. Determine k so that -2*k**d + 3*k - 8*k + 5*k + 6*k**2 = 0.
0, 3
Find y, given that 185*y**2 + 213 - 33 - 9*y**3 + 3*y**3 - 14*y**3 - 5*y**4 - 340*y = 0.
-9, 1, 2
Let k be -16*-3*(-1)/(-2). Let j = -21 + k. Suppose -4*m**2 - 8*m**4 + m**5 - 3*m**5 - 10*m**j + 0*m**4 = 0. What is m?
-2, -1, 0
Let q be (3 - 2)/(15/30). Let f(n) be the third derivative of n**q - 1/54*n**4 + 0*n**3 - 1/945*n**7 + 1/270*n**6 + 0 + 1/270*n**5 + 0*n. Solve f(h) = 0.
-1, 0, 1, 2
Let j(c) be the second derivative of 5*c**4/2 + 47*c**3/3 + 6*c**2 - 28*c + 13. Suppose j(y) = 0. Calculate y.
-3, -2/15
Solve -64/7*n**3 + 20/7*n**4 - 2/7*n**5 + 0*n + 0 + 64/7*n**2 = 0 for n.
0, 2, 4
Let z be 4/7 - (-99)/(-1386). Let v(l) be the first derivative of -1/3*l**3 + 2*l - z*l**2 - 7. Factor v(a).
-(a - 1)*(a + 2)
Suppose -26*w + 30*w = 8. Suppose a - w*a = -2*i - 5, 3*i + 3 = 0. Factor 0*x + 0*x**2 + 1/2*x**4 + 1/2*x**a + 0.
x**3*(x + 1)/2
Suppose 4*p - y - 34 = -4, -4*p - 5*y = -42. Suppose -p*s + 17*s**2 - s**3 - 4*s**4 - 5*s**2 + s**3 = 0. What is s?
-2, 0, 1
Let x be 32/5*63/126. Factor -16/5*g**4 - 76/5*g**2 - x - 56/5*g - 2/5*g**5 - 10*g**3.
-2*(g + 1)**2*(g + 2)**3/5
Let r(t) be the third derivative of 7*t**7/12 - 7*t**6/240 - 27*t**5/20 - 17*t**4/12 - 2*t**3/3 + t**2 + 60*t. Solve r(g) = 0 for g.
-2/5, -2/7, 1
Let c be 2/(-12) - 1546/12. Let s = -385/3 - c. Find t, given that s - 1/3*t**2 - 1/3*t**4 - t**3 + t = 0.
-2, -1, 1
Let a(c) = 2*c**2 + 12*c - 12. Let x(b) = 114 - 3*b**2 - 3*b**2 - 37*b - 78. Let p(m) = -7*a(m) - 2*x(m). Let p(y) = 0. What is y?
-6, 1
Let -232*y - 369*y - 269*y + 378*y**2 + 274*y + 4*y**3 - 86*y**2 + 300 = 0. Calculate y.
-75, 1
Let w = 1/1328 + 659/6640. Let u(x) be the first derivative of -2/15*x**3 + w*x**4 + 0*x + 0*x**2 + 7. Let u(h) = 0. What is h?
0, 1
Let q(m) be the third derivative of 0*m + 0*m**3 + 1/90*m**6 + 0 + 1/9*m**5 - 12*m**2 + 2/9*m**4. Solve q(y) = 0.
-4, -1, 0
Find a such that -10*a**2 - 5*a + 307 - 287 + 5*a**3 - 7*a**2 - 3*a**2 = 0.
-1, 1, 4
Suppose -3*h + 45 = -4*r + 5, h = 0. Let o be (-4)/r + 32/(-80). Factor o*z + 0*z**2 - 3/5*z**4 - 3/5*z**5 + 0 + 0*z**3.
-3*z**4*(z + 1)/5
Suppose 2*o + 6 = -3*g, -g = -2*g - 3*o - 9. Let f(d) be the second derivative of g - 3*d - 1/6*d**4 + 4/3*d**3 - 4*d**2. Factor f(k).
-2*(k - 2)**2
Let y be ((-4)/(-3))/(2/3). Let i be (-4)/(-2) + (y - 0). Determine m so that 2*m + i*m**3 + m**2 - 3*m**3 - 6*m**3 - 7*m**3 + 9*m**4 = 0.
-1/3, 0, 2/3, 1
Let a be -39*(-27)/15795 + 22/570. Solve -8/19*z + a + 6/19*z**2 = 0.
1/3, 1
Let r(f) be the first derivative of 0*f + 8 + 1/9*f**2 + 1/18*f**4 + 4/27*f**3. Factor r(k).
2*k*(k + 1)**2/9
Let h(v) be the third derivative of 0*v**4 + 1/100*v**6 + 0*v + 0 + 12*v**2 + 1/75*v**5 + 0*v**3 + 1/525*v**7. Let h(u) = 0. What is u?
-2, -1, 0
Let l(c) = -c**3 - 16*c**2 - 30*c - 225. Let t be l(-15). Let 11/3*s**2 + t + 4*s**3 - 2*s - 5/3*s**4 = 0. What is s?
-1, 0, 2/5, 3
Factor -4/9*y**2 - 68/9 + 8*y.
-4*(y - 17)*(y - 1)/9
Let l(m) be the second derivative of 0*m**4 + 10*m + 0*m**2 + 1/6*m**6 + 0 + 1/2*m**5 + 0*m**3. Factor l(p).
5*p**3*(p + 2)
Let n(a) be the first derivative of -4*a**4/15 - 2*a**3/15 + 6*a**2/5 + 19*a + 16. Let z(i) be the first derivative of n(i). Find s such that z(s) = 0.
-1, 3/4
Let z = 27 + -19. Suppose -z*m + 9*m = -o - 2, 3*o - 3*m = 6. What is v in -1/2*v**3 + 1/4*v**4 + 0*v + 0 + 1/4*v**5 + o*v**2 = 0?
-2, 0, 1
Let y(i) be the third derivative of i**5/30 - i**4/3 + i**3 + 36*i**2. Let y(b) = 0. What is b?
1, 3
Let m(i) be the first derivative of 2*i**3/9 + 7*i**2/3 + 70. Factor m(l).
2*l*(l + 7)/3
Let i(g) = 152*g**2 + 150*g - 4. Let p(u) = -u**3 + 304*u**2 + 300*u - 10. Let d(j) = -5*i(j) + 2*p(j). Let d(v) = 0. Calculate v.
-75, -1, 0
Suppose 0 = -20*q + 73*q - 106. Factor 4/3*v**4 + 4/3*v - 4/3*v**3 + 8/3 - 4*v**q.
4*(v - 2)*(v - 1)*(v + 1)**2/3
Suppose -6 = -5*l - f, -7*f + 12 = 2*l - 5*f. Find t such that -4/7 + 6/7*t - 2/7*t**3 + l*t**2 = 0.
-2, 1
Let j(f) be the first derivative of -f**3/7 + 87*f**2/7 + 177*f/7 + 92. Factor j(x).
-3*(x - 59)*(x + 1)/7
Let x be 19/7 - (-40)/140. Suppose x*h - 4 = 5, 0 = -5*u + 5*h - 15. Find m, given that -4/9*m**3 + u*m - 2/9*m**4 + 0 - 2/9*m**2 = 0.
-1, 0
Let u(m) = -5*m**4 - 90*m**3 - 335*m**2 - 400*m - 155. Let p(w) = 3*w**4 + 46*w**3 + 167*w**2 + 200*w + 78. Let r(j) = 5*p(j) + 2*u(j). Factor r(g).
5*(g + 1)**2*(g + 4)**2
Let a(i) be the first derivative of -i**6/24 + i**5/20 + 7*i**4/16 - 13*i**3/12 + 3*i**2/4 - 151. Find n, given that a(n) = 0.
-3, 0, 1, 2
Let o(i) be the first derivative of -2*i**5/35 - 6*i**4/7 + 18*i**3/7 - 2*i**2 - 428. Factor o(g).
-2*g*(g - 1)**2*(g + 14)/7
Let x be (5/4)/(7/(-56)). Let s = 18 + x. Factor 3*j**2 - 3*j**2 - s - 8*j - 2*j**2.
-2*(j + 2)**2
Let r be 15*3 - 25/5. Let w be 20/5*(3 - 116/r). Factor 4/5*z**2 - 2/5*z**3 - w*z + 0.
-2*z*(z - 1)**2/5
Determine m so that -3/7*m**2 + 48/7 + 18/7*m = 0.
-2, 8
Let d be (11/(-2) + 4)*-2. Suppose -8 = -d*b + b. Factor 7 + 16*w - b*w + 1 + 4*w**2.
4*(w + 1)*(w + 2)
Let n(w) be the second derivative of w**6/135 + | {
"pile_set_name": "DM Mathematics"
} |
site number?
True
Let j(b) = 2*b**3 - 14*b**2 + 18*b + 30. Let p be j(14). Is (-3)/(-4 + p/758) composite?
False
Let w(m) = 7*m - 35. Let x be w(7). Is x*(0 + 1) + (-2 - 1) prime?
True
Suppose -l - w + 2*w - 251 = 0, -2*l - 4*w = 478. Let n = l + 366. Is n prime?
False
Let l(k) = -295*k - 28. Let v be l(-13). Suppose 19822 - v = 5*q. Is q composite?
False
Suppose -2*y + 3*y = -2*v + 170, -5*y - 2*v + 866 = 0. Let o = y - 116. Is o a prime number?
False
Let m(l) = 20*l + 1. Let v(d) = 19*d + 2. Let q(y) = 6*m(y) - 5*v(y). Suppose j + 3*b = -b - 11, 5*j = 2*b + 11. Is q(j) composite?
True
Is ((-280)/(-60))/(2/3273) a prime number?
False
Let p(i) = -8*i**3 + 5*i**2 + 3*i - 4. Let n be p(-3). Is (n - 0) + 1*3 prime?
True
Suppose 2*f - 40 = -0*f. Let n be -4 - (-1601 - (4 + -6)). Suppose -f*z + n = -15*z. Is z a composite number?
True
Let w be -6 + (-7)/14*-20. Let j = -3 + 5. Suppose 0 = j*l + 2*l - 4*a - 48, w*a = -5*l + 15. Is l a composite number?
False
Let u = -9042 - -17823. Is u prime?
False
Suppose 4*q = 2*q + 1640. Is 1/(3 + q/(-275)) prime?
False
Let j be 1*(3 - 1 - -2). Suppose 0*o + 12 = -j*o, o = 5*n - 1058. Is n a prime number?
True
Let h be (-2 - -2 - 0) + 85. Suppose -c = -4*j - h, -5*c - 3*j + 379 = -0*j. Let r = c - 19. Is r prime?
False
Suppose 5*p + 6 - 1 = 0. Let m be (-2 - -4) + p + 1. Let z = m + 17. Is z a composite number?
False
Suppose 4*l = -523 - 1. Let o = 75 - 123. Let t = o - l. Is t prime?
True
Suppose -5*h = a - 13, 12 = -h + 3*h - 3*a. Let x be (3 - 1)*h/2. Suppose 5*j - i + 4*i = 179, -5*i - 121 = -x*j. Is j prime?
True
Suppose 3*i - 1780 + 19 = 0. Let f = 1376 - i. Is f a composite number?
True
Suppose 5*a + 1755 = 5*x, x = -x + 2. Let o = -201 - a. Is o prime?
True
Let x(v) = -v**2 - v + 2. Let z be x(-2). Let a be 3 - (4 + -3) - -383. Suppose -4*s - g + a = 0, -4*g = -2*s - z*g + 170. Is s composite?
True
Let a = -56687 + 130978. Is a prime?
False
Let t be (63/14)/(((-60)/1216)/(-5)). Let b(v) = -v - 7. Let q be b(-7). Suppose 2*p - 7*p + h = -1120, q = -2*p + 2*h + t. Is p composite?
False
Suppose -14*l + 44163 = -51947. Is l a prime number?
False
Let o(m) = 652*m - 63. Is o(5) prime?
False
Is 3/(-13) - 3047524/(-52) composite?
True
Let z = 38 - 45. Let o(l) = 7*l**2 - 9*l - 5. Is o(z) a prime number?
True
Let i be -1059*(-2 - (-16)/6) + -2. Let c = i + 1249. Is c a prime number?
True
Suppose 2*n - 4*n = 5*q + 14, -5*q = 4*n + 8. Suppose -930 = -n*k - 4*p + 1637, 5*k = p + 4263. Is k composite?
False
Let c(w) = -w**3 + 26*w**2 + 41*w - 34. Let u be c(19). Is ((-3)/6)/((-4)/u) a composite number?
False
Let v = 2495 + -1134. Is v composite?
False
Is ((-2159)/4)/(((-36)/(-16))/(-9)) a prime number?
False
Is -6 + -14 + 6 + 21873 composite?
False
Let a(g) = 3*g**2 + 12*g + 8. Let p be 0/(0 - (-1)/1). Suppose b + 9 = -p. Is a(b) a composite number?
True
Let l(m) = 43*m**3 - 6*m**2 - 8*m + 53. Is l(6) prime?
False
Let f = 655 - 314. Let y = f - 139. Is y a composite number?
True
Let s(g) = -8*g**3 + 3*g**2 - 2*g + 2. Suppose 27*a = 22*a - 15. Is s(a) prime?
True
Let n = -33 - -33. Let q be 589 + (n - 0)/3. Let x = q + -282. Is x a composite number?
False
Let j(z) = 0 - 4 - 7*z**2 + 14*z**2 + 5 + 3*z. Is j(-9) prime?
True
Let h = 29784 + -20031. Is h composite?
True
Is 2/(-4)*(-21806 + 0) a prime number?
True
Suppose 4 + 20 = 6*z. Suppose 5*w - 30 = u, z*u = 2*w - 1 - 29. Is 74/1*u/(-10) a composite number?
False
Suppose 2*o + 32 = 178. Let u = o + -36. Is u prime?
True
Let v(m) = 22539*m + 36. Let h be v(-3). Is ((2 - 1) + -4)*h/81 a prime number?
True
Let i(m) = 43*m + 5. Let k(u) = u**3 - 8*u**2 + 6*u + 5. Let z be k(7). Let b be (-1 - 3 - -2)*z. Is i(b) a composite number?
True
Let m be 9/(-6)*2/(-1). Suppose 0 = -m*i + 2 + 115. Is i a prime number?
False
Let t = -41 - -32. Is (t/18)/(1/(-282)) a composite number?
True
Suppose 13*k - 9*k = 2928. Suppose 139 + k = p. Suppose 4*g + 4393 = 5*f, 6*g = -f + 3*g + p. Is f a composite number?
False
Let x = -220 + 377. Is x/((3 - 7) + 5) prime?
True
Suppose 5*c + 10 = 0, 6*u = u + 3*c - 24. Let x(h) = -115*h - 29. Let n be x(-4). Is n/u*2*-3 a prime number?
True
Suppose -26*x + 1402 = -24*x. Is x composite?
False
Let k be (-2)/(-2) - (0 - 0 - 17). Suppose -13*m + k*m = 670. Is m a composite number?
True
Suppose k = 3*k - 2*o + 4, 0 = -4*k + o - 17. Let j(q) = -4*q**3 - q**2 + 5*q - 7. Is j(k) a prime number?
True
Suppose -2155 = -4*x + 3125. Let r = x - 715. Suppose -r = -t - 4*t. Is t composite?
True
Let w(v) = 1049*v**2 - 11*v + 27. Is w(2) a composite number?
False
Suppose 208659 = 4*b - 187625. Is b a composite number?
True
Suppose -8*c = -1834 + 282. Let t = c + 537. Is t a composite number?
True
Let r = 7613 + -4406. Is r prime?
False
Let a(h) = -51*h**2 - 11*h - 5. Let i(q) = -50*q**2 - 10*q - 4. Let r(v) = 5*a(v) - 6*i(v). Is r(4) prime?
True
Let v be (12/9 - 2)*-90. Let l be (-11 + 9)/((-2)/v). Suppose -3*r + 6*f - f = -170, r - l = 5*f. Is r prime?
False
Let d = -1702 + 2567. Is d a prime number?
False
Let d(z) = z**3 + 5*z**2 - 6*z + 4. Suppose n - 5*p + 16 = 0, 4*n - 2*p = -5*p - 18. Let r = n + 0. Is d(r) composite?
True
Suppose -15*b + 10068 = -11*b. Suppose -7*z = -b - 8102. Is z a prime number?
False
Let c(x) = 36*x**2 + 2*x + 37. Let b be c(-5). Suppose v = 4*m + b, -4*v + 2*m + 3603 = 7*m. Is v a prime number?
True
Suppose q = 4*j + 31, 3*q + 2*j + 21 = 4*q. Suppose -5*s - a = -q, a = -3*s - 0*a + 7. Suppose u = -s*u - 2*z + 43, 0 = 3*u - 5*z - 8. Is u prime?
True
Let l(w) be the second derivative of 5*w**4/4 - w**3/3 + 21*w**2/2 + 15*w. Is l(-6) a prime number?
False
Let m(q) = -3*q + 4. Let w be m(3). Let a be w + 2 - (1 - 1). Is a*(-2)/(-3) + 151 composite?
False
Let c be -2 + (0 - (-2 - 0)). Suppose 0 = -3*r - 5*x - 76, c = -x - 2 - 3. Is (336 + r)*(1 - 0) prime?
False
Let b be (0 + 3)/(-3)*-3. Let c be 0*((-10)/4 + b). Suppose c = d - u - 242, -4*u - 721 = -5*d + 2*d. Is d composite?
True
Let g(c) = 1851*c - 60. Is g(3) prime?
False
Let n(t) = 362*t**3 + t**2 - 3*t + 3. Is n(2) composite?
False
Is 2682/2 - 23/(276/24) a prime number?
False
Suppose -28 + 10 = -2*v. Suppose 0 = -4*o + v*o - 4065. Suppose 6*c = o + 81. Is c composite?
False
Let q = -5 + 5. Is 37 - (q/(-1))/(1/(-1)) a composite number?
False
Let n be (5 - -4 - 2)*-1. Let t(h) = 4*h**2 + 8*h - 9. Is t(n) composite?
False
Suppose 2891 = t + 732. Is t prime?
False
Let k be 3 - 0*3/(-9). Suppose 2*u - k = 59. Suppose 11 + u = 3*l. Is l a composite number?
True
Let d = -30881 - -96048. Is d prime?
True
Is ((-177)/(-4))/(5/60*3) composite?
True
Is (-2719188)/(-216) - (-2)/12 a prime number?
True
Let i = -36 - -82. Suppose -i + 4 = 3*z. Is (-1662)/z - 2/(-7) a composite number?
True
Is 9*(-2)/18*-3 + 17968 composite?
False
Let i(p) = 2*p**2 - 3*p + 17. Let c be i(-12). Suppose -5*z = g - 580 - c, 4*g = 4*z + 3636. Is g prime?
True
Let x = 24080 - 13897. Is x a composite number?
True
Let m(i) = i**3 + i**2 - 5*i - 4. Let f be m(-3). Let n(a) = -a - 13. Let b be n(f). Is b/(-33) + 458/22 a prime number?
False
Let s = 46 + -21. Suppose 11*t - 6*t + s = 0. Is (-446)/t + (-9)/45 composite?
False
Let q be 47/(-2 + 15/6). Let s = 11 + -38. Let m = s + q. Is m a composite number?
False
Let n(y) = y + 4. Let d(h) = -h - 3. Let x(z) = -6*d(z) - 5*n(z). Let a be x(6). Let p(o) = 17*o**2 + 5*o + 3. Is p(a) a prime number?
False
Suppose -284 = 55*b - 1230139. Is b a composite number?
True
Let j(y) = 183*y + 42. Let t be j(8). Suppose -t = h - 5267. Is h composite?
False
Let n = -89 + -134. Suppose 0 = -2*q + 1 - 149. Let i = q - n. Is i composite?
False
Let k = 27060 + -18311. Is k a prime number?
False
Let w(q) = -59*q + 143. Is w(-12) a composite number?
True
Let s = 27361 + 13288. Is s a prime number?
False
Let g(a) = a**2 + 9*a + 6. Let h be g(-9). Let z(o) = -4*o + 5*o - 20 + h + 5*o. Is z(6) a prime number?
False
Let f = 1038 + -775. Is f composite?
False
Suppose 9*q - 4*q - 263861 = -2*f, -f - q + 131932 = 0. Is f a composite number?
False
Let p(z) = -3*z**3 + 10*z**2 + 12*z + 24. Is p(-7) a composite number?
False
Suppose 0 = 40*n - 38*n - 7682. Is n a composite number?
True
Let d = -468 - -145. Let w = d + 814. Is w composite?
False
Let c(v) = -v**2 - 7*v - 5. Let z be c(-5). Let r(n) be the | {
"pile_set_name": "DM Mathematics"
} |
732*k + 3
What is the x'th term of 9316877, 37267544, 83851995, 149070236, 232922273, 335408112?
x**3 + 9316886*x**2 + 2*x - 12
What is the m'th term of -6594, -26076, -58448, -103710, -161862, -232904?
-6445*m**2 - 147*m - 2
What is the p'th term of 20871, 38740, 56611, 74484, 92359?
p**2 + 17866*p + 3004
What is the v'th term of -4504, -1199, 2106, 5411, 8716?
3305*v - 7809
What is the h'th term of -9739, -9594, -9437, -9262, -9063?
h**3 + 138*h - 9878
What is the h'th term of 147661, 295287, 442865, 590371, 737781, 885071, 1032217?
-4*h**3 + 147654*h + 11
What is the l'th term of -14169, -29157, -44145?
-14988*l + 819
What is the z'th term of 4053, 7893, 11795, 15783, 19881?
4*z**3 + 7*z**2 + 3791*z + 251
What is the v'th term of 1167, 2861, 5083, 7833, 11111?
264*v**2 + 902*v + 1
What is the p'th term of -569586, -569580, -569574, -569568?
6*p - 569592
What is the i'th term of 6065, 12082, 18041, 23912, 29665?
-5*i**3 + i**2 + 6049*i + 20
What is the s'th term of 162579, 164818, 167071, 169344, 171643, 173974, 176343, 178756?
s**3 + s**2 + 2229*s + 160348
What is the p'th term of 221143, 221165, 221187, 221209, 221231, 221253?
22*p + 221121
What is the a'th term of -5385, -42816, -144377, -342132, -668145, -1154480?
-5344*a**3 - a**2 - 20*a - 20
What is the b'th term of -2365731, -2365731, -2365725, -2365713, -2365695, -2365671?
3*b**2 - 9*b - 2365725
What is the n'th term of -351, -344, -229, -6?
54*n**2 - 155*n - 250
What is the m'th term of 6044, 24666, 55862, 99632?
6287*m**2 - 239*m - 4
What is the n'th term of 2136, 4010, 5876, 7734, 9584?
-4*n**2 + 1886*n + 254
What is the z'th term of 19188, 38085, 56982, 75879, 94776, 113673?
18897*z + 291
What is the t'th term of 204170, 408438, 612706, 816974, 1021242?
204268*t - 98
What is the q'th term of 6974045, 13948052, 20922059?
6974007*q + 38
What is the z'th term of 1729294, 3458621, 5187946, 6917269, 8646590, 10375909, 12105226?
-z**2 + 1729330*z - 35
What is the y'th term of 15031, 14759, 14481, 14197, 13907?
-3*y**2 - 263*y + 15297
What is the j'th term of 16359, 22863, 29367, 35871?
6504*j + 9855
What is the q'th term of 25533, 51055, 76571, 102087, 127609?
q**3 - 9*q**2 + 25542*q - 1
What is the r'th term of -4916, -9439, -13964, -18491, -23020, -27551?
-r**2 - 4520*r - 395
What is the c'th term of -4894, -9799, -14704, -19609, -24514, -29419?
-4905*c + 11
What is the p'th term of 6984, 7208, 7432?
224*p + 6760
What is the y'th term of 890, 10578, 36836, 87950, 172206, 297890?
1381*y**3 - y**2 + 24*y - 514
What is the u'th term of 161918, 647181, 1455794, 2587757, 4043070, 5821733, 7923746?
161675*u**2 + 238*u + 5
What is the m'th term of -651, -1789, -3701, -6393, -9871?
-m**3 - 381*m**2 + 12*m - 281
What is the y'th term of -2074696, -4149536, -6224376, -8299216, -10374056?
-2074840*y + 144
What is the i'th term of 2347109, 4694228, 7041347, 9388466, 11735585?
2347119*i - 10
What is the o'th term of -379779106, -379779107, -379779108?
-o - 379779105
What is the o'th term of 26487, 26595, 26703?
108*o + 26379
What is the v'th term of -713373, -713431, -713489, -713547, -713605?
-58*v - 713315
What is the p'th term of -8129, -7479, -6401, -4901, -2985, -659, 2071, 5199?
-p**3 + 220*p**2 - 3*p - 8345
What is the u'th term of 38831, 77661, 116491?
38830*u + 1
What is the f'th term of -98745, -394648, -887821, -1578264, -2465977?
-98635*f**2 + 2*f - 112
What is the z'th term of -9832440, -19664883, -29497334, -39329793?
-4*z**2 - 9832431*z - 5
What is the n'th term of 873, 3420, 7659, 13602, 21261, 30648, 41775?
2*n**3 + 834*n**2 + 31*n + 6
What is the w'th term of 1625, 6839, 15993, 29465, 47633, 70875?
63*w**3 + 1592*w**2 - 3*w - 27
What is the n'th term of -4764555, -19058185, -42880903, -76232709, -119113603, -171523585?
-4764544*n**2 + 2*n - 13
What is the g'th term of -40, -401, -972, -1753?
-105*g**2 - 46*g + 111
What is the z'th term of -35452388, -35452391, -35452394, -35452397, -35452400, -35452403?
-3*z - 35452385
What is the m'th term of -807121, -807208, -807295, -807382, -807469?
-87*m - 807034
What is the c'th term of 9756, 79253, 267884, 635217, 1240820, 2144261, 3405108?
9928*c**3 - c**2 + 4*c - 175
What is the l'th term of -706344, -706371, -706414, -706473, -706548?
-8*l**2 - 3*l - 706333
What is the u'th term of -35301, -35331, -35381, -35451, -35541, -35651?
-10*u**2 - 35291
What is the m'th term of -149, -342, -153, 838, 3051?
70*m**3 - 229*m**2 + 4*m + 6
What is the u'th term of -58383, -59233, -60649, -62631, -65179?
-283*u**2 - u - 58099
What is the c'th term of 528, 725, 928, 1143, 1376, 1633?
c**3 - 3*c**2 + 199*c + 331
What is the h'th term of 141842535, 141842538, 141842541, 141842544?
3*h + 141842532
What is the b'th term of -7157, -3541, 75, 3691, 7307, 10923?
3616*b - 10773
What is the f'th term of -1863339, -1863345, -1863351, -1863357, -1863363, -1863369?
-6*f - 1863333
What is the d'th term of -836842, -3347424, -7531728, -13389754?
-836861*d**2 + d + 18
What is the s'th term of -3210437, -3209986, -3209535, -3209084, -3208633?
451*s - 3210888
What is the l'th term of 63477556, 126955117, 190432678, 253910239, 317387800, 380865361?
63477561*l - 5
What is the j'th term of -17210, -34245, -51280?
-17035*j - 175
What is the f'th term of 16171074, 32342145, 48513214, 64684281, 80855346, 97026409, 113197470?
-f**2 + 16171074*f + 1
What is the j'th term of -78218, -78100, -77904, -77630, -77278, -76848?
39*j**2 + j - 78258
What is the u'th term of -31340, -30976, -30614, -30254, -29896, -29540?
-u**2 + 367*u - 31706
What is the z'th term of -11744562, -11744554, -11744546, -11744538, -11744530?
8*z - 11744570
What is the o'th term of 2895, 22620, 75755, 178878, 348567, 601400?
2763*o**3 + 127*o**2 + 3*o + 2
What is the b'th term of -58292, -116649, -175034, -233453, -291912?
-b**3 - 8*b**2 - 58326*b + 43
What is the r'th term of -8475, -33805, -75983, -135009, -210883, -303605?
-8424*r**2 - 58*r + 7
What is the u'th term of -44067, -44099, -44149, -44211, -44279, -44347?
u**3 - 15*u**2 + 6*u - 44059
What is the f'th term of 29332172, 58664345, 87996518, 117328691, 146660864, 175993037?
29332173*f - 1
What is the i'th term of 17497181, 17497168, 17497155, 17497142, 17497129, 17497116?
-13*i + 17497194
What is the z'th term of 3650, 5413, 8374, 12539, 17914?
z**3 + 593*z**2 - 23*z + 3079
What is the f'th term of 10940, 13619, 16298, 18977, 21656?
2679*f + 8261
What is the w'th term of 101594800, 203189599, 304784398?
101594799*w + 1
What is the o'th term of -4221853, -4221849, -4221845?
4*o - 4221857
What is the n'th term of 1696466, 3392912, 5089358, 6785804, 8482250, 10178696?
1696446*n + 20
What is the m'th term of -2386297, -2386296, -2386295, -2386294, -2386293, -2386292?
m - 2386298
What is the j'th term of -225700, -451361, -677022?
-225661*j - 39
What is the b'th term of -7794, -6233, -4672?
1561*b - 9355
What is the x'th term of -680480, -680328, -680074, -679718, -679260?
51*x**2 - x - 680530
What is the x'th term of 205114, 410231, 615350, 820471, 1025594, 1230719?
x**2 + 205114*x - 1
What is the g'th term of -4094744, -4094742, -4094740, -4094738?
2*g - 4094746
What is the v'th term of 169, 405, 885, 1681, 2865, 4509, 6685?
12*v**3 + 50*v**2 + 2*v + 105
What is the t'th term of -89371, -357579, -804589, -1430401?
-89401*t**2 - 5*t + 35
What is the w'th term of -41880, -44024, -47600, -52608, -59048, -66920?
-716*w**2 + 4*w - 41168
What is the k'th term of 8806, 9043, 9280, 9517, 9754?
237*k + 8569
What is the p'th term of 107297, 429187, 965673, 1716755, 2682433, 3862707, 5257577?
107298*p**2 - 4*p + 3
What is the b'th term of 765573, 3062333, 6890267, 12249375?
765587*b**2 - b - 13
What is the u'th term of -18453440, -18453441, -18453442, -18453443, -18453444?
-u - 18453439
What is the j'th term of -90189, -90195, -90201?
-6*j - 90183
What is the g'th term of -23931, -47816, -71701, -95586, -119471?
-23885*g - 46
What is the d'th term of 5749, 8006, 10265, 12526, 14789, 17054?
d**2 + 2254*d + 3494
What is the a'th term of 4511100, 4511087, 4511074, 4511061?
-13*a + 4511113
What is the o'th term of 261, -425, -4241, -13371, -29999, -56309, -94485?
-364*o**3 + 619*o**2 + 5*o + 1
What is the k'th term of -13155, -26322, -39517, -52740, -65991? | {
"pile_set_name": "DM Mathematics"
} |
e 16, what is -890 + 1a47?
11b7
In base 4, what is -13132322132 - 30?
-13132322222
In base 15, what is -2d - -42495c?
42492e
In base 13, what is 1c18 - 3ca45?
-3ab2a
In base 3, what is -20110012112 + 12120121?
-20020121221
In base 9, what is -407 + 338?
-58
In base 4, what is 132 + -20031330111?
-20031323313
In base 13, what is 26230 - -5b7?
26817
In base 6, what is -254100340 - 2?
-254100342
In base 3, what is 12010112100100 - -102?
12010112100202
In base 5, what is -112110000 - 30?
-112110030
In base 9, what is -53260 - -772?
-52377
In base 10, what is -742093 - -1404?
-740689
In base 10, what is 82633 - 33?
82600
In base 14, what is 1d3d4a - -652?
1d459c
In base 16, what is 1d35 + -339?
19fc
In base 7, what is -1354632564 + 14?
-1354632550
In base 13, what is 1 - -1b39b583?
1b39b584
In base 5, what is 14 - -143442302214?
143442302233
In base 8, what is 1 - -674012335?
674012336
In base 5, what is -214 + -3330340223?
-3330340442
In base 3, what is -1 - -220011022211?
220011022210
In base 15, what is 178419 - 9?
178410
In base 10, what is 23139 + -41956?
-18817
In base 10, what is -1238 - 35394?
-36632
In base 13, what is -51 - -165c8?
16577
In base 8, what is 2147 - 17570?
-15421
In base 11, what is -63 - 99131?
-99194
In base 7, what is -10011514 - -436?
-10011045
In base 8, what is 207761 + -40?
207721
In base 4, what is 22013132201 + -13?
22013132122
In base 16, what is -86 + a2c1e?
a2b98
In base 11, what is -3282 + -15862?
-19034
In base 4, what is -1102220113020 - -102?
-1102220112312
In base 3, what is -1201222 + 221100201?
212121202
In base 7, what is 10306661 + 26?
10310020
In base 15, what is -49 - -1a9bee?
1a9ba5
In base 8, what is 5120510 - 7?
5120501
In base 12, what is -57995b + -4?
-579963
In base 14, what is -d - -b76680?
b76671
In base 3, what is 1010220102 + 101211?
1011022020
In base 7, what is -314 - -6554?
6240
In base 11, what is 5 + 9119846?
9119850
In base 15, what is e075 - 4b?
e029
In base 10, what is -855416145 - 3?
-855416148
In base 8, what is 4551735 + 141?
4552076
In base 8, what is 4042372 + 11?
4042403
In base 3, what is -1000120211221 + -110?
-1000120212101
In base 15, what is -ca5 + -3b757?
-3c50c
In base 5, what is 23 + 144001042?
144001120
In base 15, what is 19 + 1330a6?
1330c0
In base 8, what is -6252033 + -54?
-6252107
In base 8, what is -7002 - -250727?
241725
In base 2, what is -1001101000011 + 11001011001?
-110011101010
In base 14, what is -1 - -8dc984?
8dc983
In base 4, what is 2 + -13223330332003?
-13223330332001
In base 13, what is 98b7 - -2c?
9916
In base 11, what is -539316 - 19?
-539334
In base 16, what is -4 - -23f19f?
23f19b
In base 16, what is -58 - -27c2?
276a
In base 5, what is -2024 + 1032411124?
1032404100
In base 14, what is -7a5c4 + -47?
-7a62b
In base 14, what is 3da14849 - -1?
3da1484a
In base 3, what is -200120022122 + -11221?
-200120111120
In base 13, what is -3 - 7357274?
-7357277
In base 7, what is -4053000 - 3155?
-4056155
In base 7, what is -4 - -30043161?
30043154
In base 8, what is -116607 - -627?
-115760
In base 6, what is -10 - 125443241?
-125443251
In base 13, what is -3 + -12c21760?
-12c21763
In base 8, what is -3 + -21122015?
-21122020
In base 3, what is -11122012022 + 22100?
-11121212222
In base 5, what is 142331401140 - 4?
142331401131
In base 5, what is -22413 + -10011?
-32424
In base 13, what is -15c + 628856?
6286c7
In base 6, what is 1332421133333 + -3?
1332421133330
In base 11, what is 1 - 5109531?
-5109530
In base 6, what is 45 - -10104022?
10104111
In base 6, what is 1020244101 + -2?
1020244055
In base 9, what is -2355614 - -5?
-2355608
In base 7, what is -12 - 334450136?
-334450151
In base 5, what is -14033211204 + 134?
-14033211020
In base 11, what is -56855a - 66?
-568615
In base 12, what is 15 + 4908372?
4908387
In base 8, what is 1 - 3731646?
-3731645
In base 6, what is 2 - -3441011345?
3441011351
In base 3, what is -11 + 100020121111110?
100020121111022
In base 9, what is -4 - 10522527?
-10522532
In base 11, what is 1067922 - -5?
1067927
In base 7, what is -25 - 14425100?
-14425125
In base 2, what is 0 + 1000001001011000011001?
1000001001011000011001
In base 13, what is 2b + -30645?
-30617
In base 15, what is 5d + -1bb87?
-1bb29
In base 13, what is 69 + -43a865?
-43a7c9
In base 5, what is 4323 - -1244?
11122
In base 16, what is -11073 + 25?
-1104e
In base 11, what is -329a06 - 1?
-329a07
In base 10, what is -8922794 - 5?
-8922799
In base 4, what is 3032 + -21030322?
-21021230
In base 13, what is 4 + -15666908?
-15666904
In base 5, what is 203301 + -1424324?
-1221023
In base 8, what is 74 - 24213?
-24117
In base 16, what is -787d - 3de1?
-b65e
In base 15, what is 1 + a19aa3?
a19aa4
In base 2, what is -101 + -1010111011000?
-1010111011101
In base 7, what is -365314061 - 1?
-365314062
In base 13, what is 394844 + 5?
394849
In base 14, what is -26b2a + -37a?
-270a6
In base 14, what is 10306417 - 0?
10306417
In base 16, what is -7e + -67f6?
-6874
In base 9, what is 266387 - -6?
266404
In base 15, what is 6999 - 72?
6927
In base 13, what is 210 - -7927?
7b37
In base 11, what is 5711 + 1aa4a?
25660
In base 15, what is -1e + 1cd74b?
1cd72c
In base 16, what is -9809 + 513?
-92f6
In base 3, what is 121202012112 - -122?
121202020011
In base 13, what is -34a6237c + -5?
-34a62384
In base 13, what is 3 + 760c90?
760c93
In base 2, what is 110111100100100100110110 + 10101?
110111100100100101001011
In base 8, what is 140 + -7170?
-7030
In base 13, what is 2298 + 6b6a?
9135
In base 5, what is -2010 + -1344212232?
-1344214242
In base 13, what is -a0390 + -65?
-a0425
In base 16, what is -1 + -37e92f?
-37e930
In base 10, what is -66837940 + -4?
-66837944
In base 12, what is 21 + -1211a1?
-121180
In base 3, what is 12101212 - -1112212?
20221201
In base 4, what is 23 - 33331120001?
-33331113312
In base 15, what is 137c76 - a1?
137bc5
In base 11, what is 159 - 77546?
-77398
In base 3, what is 1200122100 + -212200?
1122202200
In base 9, what is 0 - 4472643?
-4472643
In base 9, what is -11 + 32612586?
32612575
In base 14, what is -39c3 - 2b5?
-3c98
In base 6, what is -34524 + -20121?
-55045
In base 7, what is 606 - -604613?
605522
In base 11, what is -379 + -19068?
-19436
In base 7, what is -223243 + 120?
-223123
In base 10, what is 43 - -102575?
102618
In base 6, what is -4 + 311211453?
311211445
In base 6, what is 550341324 - 2?
550341322
In base 15, what is -53 - 6444c?
-644a0
In base 3, what is 22 + 100222202112002?
100222202112101
In base 5, what is -13321034 + 1424?
-13314110
In base 3, what is -2 - 1022022022111111?
-1022022022111120
In base 6, what is 120 + -103353542?
-103353422
In base 5, what is -4402221213 + -13?
-4402221231
In base 12, what is -13b70967 + -3?
-13b7096a
In base 4, what is 130 + -11223313?
-11223123
In base 8, what is -612 - -2755?
2143
In base 14, what is 2396a - 3b6b?
1dbdd
In base 10, what is 74327 - 405?
73922
In base 8, what is -125 + 3503334?
3503207
In base 12, what is 5 + 23267?
23270
In base 11, what is -15253 + -1986?
-17129
In base 11, what is -58 + 159404a?
1593aa2
In base 16, what is 5f - -1e2ff?
1e35e
In base 8, what is 25006564 + -32?
25006532
In base 8, what is -76122 + 6?
-76114
In base 4, what is 12 - -103133001321?
103133001333
In base 15, what is 2a94c + 217?
2ab64
In base 13, what is -1c7948 + -158?
-1c7aa3
In base 10, what is -112077 + 240?
-111837
In base 9, what is -20551866 + -73?
-20552050
In base 9, what is 100 + 108522?
108622
In base 9, what is 6 - -301746750?
301746756
In base 4, what is 131222212200 + 1230?
131222220030
In base 16, what is 6c2 + 566e?
5d30
In base 4, what is 3322112010 - -3132?
3322121202
In base 7, what is -1051002 + 23?
-1050646
In base 13, what is 6a343 - -238?
6a57b
In base 5, what is -1211220342 - 2?
-1211220344
In base 7, what is -10 - -3542611?
3542601
In base 12, what is 262b7b1 - 23?
262b78a
In base 16, what is -19 - 168dd?
-168f6
In base 14, what is -3aca28 - -1?
-3aca27
In base 6, what is 5350414 - -20?
5350434
In base 6, what is 25415 + -144114?
-114255
In base 14, what is dd5b - 22c4?
ba77
In base 12, what is -4ab632 + -1?
-4ab633
In base 15, what is -5730 - -b0?
-5670
In base 10, what is -4 + 13436734?
13436730
In base 6, what is -33441 + 5132005?
5054124
In base 9, what is 410 - -260817? | {
"pile_set_name": "DM Mathematics"
} |
*4 + 5*w**4 + w - 8 - 4 - 3*w wrt w?
-8*w**3 - 2
Let f(w) = 3*w**2 - 4. Let i(x) = -1 - 3*x**2 + x**2 + 4. Let m(u) = 5*f(u) + 6*i(u). Find the first derivative of m(v) wrt v.
6*v
Let z(x) be the second derivative of -5*x**3/2 + 15*x**2/2 + 2*x. What is the first derivative of z(b) wrt b?
-15
Let l = 0 - -2. What is the second derivative of -8*j + 5 - 3*j**l - 5 - j**2 wrt j?
-8
Find the second derivative of 0*u**3 + 5*u + 0*u**3 + u**5 - 4*u**5 wrt u.
-60*u**3
What is the second derivative of 6*l**3 - 3*l**3 + 3*l**3 - 3*l wrt l?
36*l
What is the second derivative of -u**3 + 2*u - 3*u**3 + 5*u**3 + 2*u**3 wrt u?
18*u
Let n be ((-1)/(-2 + 3))/(-1). Differentiate 0 + k + n + 2*k wrt k.
3
Suppose 110 = 5*p - 20. What is the third derivative of p*c**3 - 2*c**4 - 26*c**3 - 2*c**2 + 8*c**2 wrt c?
-48*c
Let k(x) = -3*x - 2. Let u be k(-3). Suppose -4*t + u = -5*h + 27, -t - 2*h + 8 = 0. What is the derivative of 2 + t*a**4 + 3*a**4 - a**4 wrt a?
8*a**3
Suppose -2*k + 2 = -2. What is the second derivative of 2*b**2 - b + 3*b**3 - 2*b**k + 0*b**3 wrt b?
18*b
Let i(m) = -10*m**2 - m + 4. Let t(o) = 9*o**2 + 2*o - 3. Let r(p) = -3*i(p) - 4*t(p). What is the second derivative of r(c) wrt c?
-12
What is the second derivative of -3*a**2 - 3*a**2 + 5*a**2 + 9*a**2 + 9*a wrt a?
16
Let g(z) = -z. Let h be g(-2). What is the first derivative of 4 + h*m + 5*m - 5*m wrt m?
2
Let m(o) be the first derivative of -8*o**7/7 + 4*o**3/3 - 4. Find the third derivative of m(q) wrt q.
-960*q**3
Let r(s) be the first derivative of s**10/5040 + s**6/72 + 4*s**3/3 + 1. Let x(z) be the third derivative of r(z). Find the third derivative of x(u) wrt u.
120*u**3
Let r(y) = -3*y - 11. Let s be r(-5). Find the second derivative of 5*u + 3*u**4 + 6*u**s - 3*u**4 wrt u.
72*u**2
Let z(x) = x. Let f(y) = -2*y + 5. Let n be 1/(3 + (-5 - -3)). Let j(h) = n*f(h) + 4*z(h). Differentiate j(w) wrt w.
2
Let w(f) be the second derivative of f**8/336 + f**5/30 - 2*f**3/3 + 3*f. Let j(v) be the second derivative of w(v). Find the second derivative of j(s) wrt s.
60*s**2
Suppose t + 0*t = 2. Suppose -4*v + 34 = -v + 5*s, 0 = -t*v + 3*s - 9. Find the second derivative of -1 + v*f**3 + 1 + f - 2*f wrt f.
18*f
What is the derivative of 1 + 0*q**3 + 4 - 3*q**3 - 4*q**3 wrt q?
-21*q**2
Let b(j) = -80*j**3 + 10*j**2 - 10*j - 48. Let k(x) = -27*x**3 + 3*x**2 - 3*x - 16. Let d(y) = -3*b(y) + 10*k(y). Differentiate d(r) with respect to r.
-90*r**2
Let y be (-12)/(-20) - 17/(-5). Let d(p) be the first derivative of -1/2*p**y + 1 + 1/3*p**3 + 0*p + 0*p**2. What is the third derivative of d(a) wrt a?
-12
Let h(v) be the third derivative of v**5/12 + v**3/6 + 6*v**2. Differentiate h(n) wrt n.
10*n
Let v(o) be the first derivative of 16*o**7/7 + 7*o**3/3 + 8. Find the third derivative of v(m) wrt m.
1920*m**3
Let q be 60/(-504) - (-2)/7. Let a(h) be the second derivative of 0*h**2 - 1/4*h**4 - q*h**3 + 0 + 2*h. What is the second derivative of a(b) wrt b?
-6
Let a be (-6)/(3 + 27/(-6)). Suppose 2*l - 5 + 3 = -2*p, 0 = -4*p + a*l + 12. Find the second derivative of -3*v - 3*v + v**p + 5*v wrt v.
2
Let w(y) = y**2 - y + 1. Let p(t) = 2*t**4 - 4*t**2 + t - 4. Let g = -19 + 20. Let v(k) = g*p(k) + 4*w(k). Find the second derivative of v(m) wrt m.
24*m**2
Let h(b) = -2*b + 1. Let s(w) = 5*w - 2. Let q(k) = -17*h(k) - 6*s(k). What is the first derivative of q(j) wrt j?
4
Let l = 108 + -104. Let d(n) be the third derivative of 0*n + 0*n**l + 0 + 1/20*n**5 + 2*n**2 + 2/3*n**3. What is the derivative of d(c) wrt c?
6*c
Let c(r) = r**2 + 3*r + 4. Let x be c(-4). Find the third derivative of x*k**4 + 104 + k**2 - 104 wrt k.
192*k
What is the third derivative of 49*k**2 - 48*k**2 - 13*k**3 - 9*k**3 wrt k?
-132
Let r(v) = 13*v**3 + 4*v**2 + 4*v - 7. Let p(l) = 14*l**3 + 5*l**2 + 5*l - 6. Let t(u) = 4*p(u) - 5*r(u). Differentiate t(j) wrt j.
-27*j**2
What is the second derivative of 10 - 10 - 2*r - r**5 wrt r?
-20*r**3
Let r(f) = 2*f - 4. Let n be r(3). Suppose -t = -n - 3. What is the derivative of 2*c**3 - 1 - t + 4 wrt c?
6*c**2
Let i(m) = 4*m - 1. Let w be i(1). What is the second derivative of 0*l - 3*l**3 + 2*l - l**3 - w*l wrt l?
-24*l
Let h(m) = 8*m**2 + 13. Let y(u) = u**2 - 1. Let b(a) = -h(a) - 2*y(a). What is the first derivative of b(q) wrt q?
-20*q
Let w(r) be the first derivative of r**6/3 + 3*r**2/2 + 11. Find the second derivative of w(k) wrt k.
40*k**3
Let c(p) = -10*p**4 - 11*p**3 + 47*p. Let h(n) = 3*n**4 + 4*n**3 - 16*n. Let d(i) = -4*c(i) - 11*h(i). What is the second derivative of d(x) wrt x?
84*x**2
Let s(u) = -u**3 + 8*u**2 - 7*u + 10. Let t be s(7). What is the derivative of 3*d - d + d - 2 + t wrt d?
3
Let o(c) = 3*c**2 + 4*c**2 - 5*c**2. Let j be o(-1). Find the third derivative of 2*w**4 + 3*w**2 + j*w**2 - 3*w**2 wrt w.
48*w
What is the third derivative of k**5 + 4*k**2 + 4*k**5 + 0*k**2 wrt k?
300*k**2
Suppose -5*t + 1 = 5*n - 2*n, t = -4*n - 10. Let w be 4 - 3 - 1 - -4. Find the third derivative of -w*i**2 + 5*i**2 - t*i**4 - 2*i**2 wrt i.
-48*i
Suppose -1 = 2*n - 5*d, -1 = -2*d + d. What is the second derivative of g + 2*g - n*g**4 + 5*g**4 wrt g?
36*g**2
Let a = 7 - 4. Let x(v) = -v**2 - v. Let f(p) = p**3 - 3*p**2 - 4*p. Let n(s) = a*x(s) - f(s). What is the second derivative of n(o) wrt o?
-6*o
Let v = 51 - 30. Suppose -2*p = p - 3*f, 3*p - v = -4*f. Differentiate 0*c**2 - p - 15*c - c**2 + 15*c with respect to c.
-2*c
Let c(s) = -3*s**5 - 8*s. Let n(k) = -k**5 - 4*k. Let h(j) = 3*c(j) - 7*n(j). What is the second derivative of h(y) wrt y?
-40*y**3
Let u(q) = -10*q**5 + 4*q**3 - 7*q**2 + 4*q + 4. Let l(i) = -i**3 - i - 1. Let g(a) = 4*l(a) + u(a). Find the third derivative of g(k) wrt k.
-600*k**2
Let n(r) be the first derivative of -3/2*r**2 + 5*r - 4. Differentiate n(s) with respect to s.
-3
Let o(s) = s**5 + s**4 + s**3 + 1. Let u(y) = 6*y**5 + 5*y**4 - 7*y**3 - 17*y + 3. Let a(i) = -5*o(i) + u(i). Find the second derivative of a(d) wrt d.
20*d**3 - 72*d
Suppose -3*v - v = 5*u + 6, 3*v = -4*u - 5. Let y(t) = t + 1. Let f(x) = -4*x + 1. Let w(c) = u*y(c) + f(c). Differentiate w(s) wrt s.
-6
Find the second derivative of -36*p + 12*p**3 + 69*p - 38*p wrt p.
72*p
Let r be (9/(-6))/((-6)/(-32)). Let x = 13 + r. Find the second derivative of -x*j**2 - 3*j**2 + j + 2*j**2 + 5*j**2 wrt j.
-2
Let s(o) = -48*o**2 + o - 29. Let y(b) = -b**2 + b - 1. Let c(z) = -s(z) + 3*y(z). What is the second derivative of c(h) wrt h?
90
Let a(t) be the first derivative of t**6/30 + t**4/24 - t**2 - 1. Let f(y) be the second derivative of a(y). What is the second derivative of f(i) wrt i?
24*i
Let q(p) be the second derivative of 4*p**6/15 - p**3/3 + 3*p. What is the second derivative of q(h) wrt h?
96*h**2
What is the third derivative of -155*x**3 - 30*x**6 + 29*x**2 + 76*x**3 + 79*x**3 wrt x?
-3600*x**3
Let u(k) = -k - 1. Let n be u(-5). Suppose n = c + 3*c. What is the derivative of 2 - 4 - p**3 - c wrt p?
-3*p**2
Let m(i) be the second derivative of -i**6/72 + i**4/8 - 5*i**3/3 - 6*i. Let u(n) be the second derivative of m(n). Find the first derivative of u(g) wrt g.
-10*g
Let c be 1/((-2 - 1) + 2). Let i(m) = -7*m**2 + 1. Let y(j) = j**2 - 1. Let o(f) = c*i(f) - 3*y(f). What is the first derivative of o(d) wrt d?
8*d
Let l(q) be the first derivative of -8*q**5/5 + 3*q + 2. Differentiate l(f) with respect to f.
-32*f**3
Let v(z) be the second derivative of -z**7/210 - z**5/12 - 3*z**2 + 2*z. Let g(d) be the first derivative of v(d). What is the third derivative of g(h) wrt h?
-24*h
Let w(c) be the second derivative of c**6/15 + 3*c**2/2 - 14*c. Differentiate w(y) with respect to y.
8*y**3
Let f(u) be the first derivative of -7*u**6/6 + u**4/4 - 40*u**3/3 - 2*u + 44. What is the third derivative of f(d) wrt d?
-420*d**2 + 6
Let l(r) = 11*r**3 + 6*r**2 + 4*r - 6. Let h(p) = -p**3 + p**2 + p - 1. Let w(k) = -6*h(k) + l(k). What is the second derivative of w(b) wrt b?
102*b
Let p(i) = -i - 8. Let c be p(-10). Find the third derivative of -6*r**2 + 9*r**c + 10*r**6 + 7*r**2 wrt r.
1200*r**3
Find the third derivative of -39*o**2 + 20*o**6 - 22*o**2 - o + 27*o**2 wrt o.
2400*o**3
Suppose 4*z - 15 = z. Differentiate -1 + z - 8 + 4*b**2 with respect to b.
8*b
Let m = 1 - -3. Find the second derivative of -2 | {
"pile_set_name": "DM Mathematics"
} |
49
In base 15, what is -4d - 149c?
-14ea
In base 7, what is 52324 + 5?
52332
In base 9, what is -143408 + 6?
-143402
In base 6, what is -12 - 1434445?
-1434501
In base 4, what is -1332 + -2202?
-10200
In base 16, what is 19c + 2a?
1c6
In base 7, what is 1 - -546400?
546401
In base 6, what is 52 + -2031?
-1535
In base 3, what is -10100102202 - 2?
-10100102211
In base 13, what is -36944 - 3?
-36947
In base 7, what is 30536 + -35?
30501
In base 16, what is 977 + 3?
97a
In base 7, what is 31 + 2615?
2646
In base 2, what is 1011110000001010 + -10?
1011110000001000
In base 11, what is -5a6 - -25a?
-347
In base 7, what is 2161202 + -5?
2161164
In base 12, what is b17b - -1?
b180
In base 16, what is -2 + -78db?
-78dd
In base 10, what is 146582 + 10?
146592
In base 13, what is -4 + -82bb?
-82c2
In base 16, what is 5 + 12fab?
12fb0
In base 12, what is 236 + -49?
1a9
In base 6, what is -23 - 10300?
-10323
In base 11, what is -101a - -1?
-1019
In base 10, what is -658 - 223?
-881
In base 6, what is 1045034 + 1?
1045035
In base 6, what is -3 - -5224003?
5224000
In base 14, what is d0a2 + 12?
d0b4
In base 12, what is -3112 - -1a?
-30b4
In base 7, what is -10 - -2010324?
2010314
In base 6, what is -42 + -1014040?
-1014122
In base 13, what is 16 - 521?
-508
In base 4, what is -20212 - -311210?
230332
In base 12, what is -141a9 - 8?
-141b5
In base 13, what is -1588 + -90?
-1648
In base 7, what is -30064 + -110?
-30204
In base 16, what is 11 - 621?
-610
In base 6, what is 4 - 2203413?
-2203405
In base 7, what is -16 + 6415?
6366
In base 12, what is -3b16 + 0?
-3b16
In base 5, what is -214042042 + 10?
-214042032
In base 7, what is -3661 + 35?
-3623
In base 3, what is 11 + 1022100120?
1022100201
In base 9, what is 10 - 16257?
-16247
In base 5, what is -11330201 - -133?
-11330013
In base 9, what is -1400032 + -3?
-1400035
In base 15, what is -3 + -3186e?
-31872
In base 13, what is -2 + 51208?
51206
In base 2, what is 10111 + 111110101?
1000001100
In base 2, what is -101 - -1111011111?
1111011010
In base 2, what is 10010 + -10101100111011?
-10101100101001
In base 15, what is -3 + -1212?
-1215
In base 8, what is -10350 + -14?
-10364
In base 2, what is 10011000 - 10111111010011?
-10111100111011
In base 16, what is e4 - -294c?
2a30
In base 9, what is -38 - -120233?
120184
In base 7, what is 1 + -131333?
-131332
In base 6, what is 2132 - 33?
2055
In base 16, what is -1 + 756c?
756b
In base 4, what is 3211 + -1312?
1233
In base 8, what is 6 - 44247?
-44241
In base 8, what is 7031276 - 0?
7031276
In base 6, what is 30 + -102552?
-102522
In base 6, what is 2434242 + 11?
2434253
In base 11, what is 5 + 88764?
88769
In base 9, what is -33 - -6388?
6355
In base 10, what is -91819 - -7?
-91812
In base 7, what is 66353 + -3?
66350
In base 13, what is -97 + 5c?
-38
In base 3, what is 121111 - -102102?
1000220
In base 11, what is -146987 - 2?
-146989
In base 11, what is -20192 + 5?
-20188
In base 9, what is 8 - -130714?
130723
In base 11, what is 832 + -366?
477
In base 4, what is -11 + 2313022?
2313011
In base 9, what is 185 + -2674?
-2478
In base 16, what is 4 + 5026?
502a
In base 9, what is 253 + -228?
24
In base 13, what is -185c + 9?
-1853
In base 7, what is 314 - -5242?
5556
In base 15, what is -2c9a + c?
-2c8d
In base 12, what is 2 + -b906?
-b904
In base 8, what is -216265 + 3?
-216262
In base 4, what is 223320 + 13012?
302332
In base 14, what is -1c + -17d4?
-1812
In base 7, what is 3 + -1501131?
-1501125
In base 9, what is 8348 + 1?
8350
In base 12, what is -281 - -58ab?
562a
In base 8, what is -103 + -234?
-337
In base 9, what is 133 - 2800?
-2656
In base 5, what is -2400320 + -3?
-2400323
In base 9, what is -4307 + 104?
-4203
In base 2, what is -10 - -111100011001?
111100010111
In base 15, what is 111 + -1d?
e3
In base 14, what is -1195 - 24?
-11b9
In base 14, what is -c7 + 33bb?
32d4
In base 6, what is 52 + -110412?
-110320
In base 4, what is -221020 - 1211?
-222231
In base 2, what is 100 + 1100001001?
1100001101
In base 6, what is 1200 - 1051?
105
In base 3, what is 121022 + 1122?
122221
In base 15, what is -5 - 4c18?
-4c1d
In base 10, what is 3608731 - -2?
3608733
In base 13, what is -21c5 + -a6?
-229b
In base 15, what is d - -1337?
1345
In base 8, what is -4255 - -26?
-4227
In base 10, what is -4 - 98502?
-98506
In base 3, what is -2002021121 + -12?
-2002021210
In base 10, what is 104299 - -19?
104318
In base 8, what is 11 + 1147004?
1147015
In base 15, what is -542 + -9?
-54b
In base 9, what is 334 + -5018?
-4574
In base 5, what is -201 + -341003?
-341204
In base 2, what is -101111110010101 + 1101?
-101111110001000
In base 10, what is 42933 + 3?
42936
In base 9, what is 4582 - 512?
4070
In base 11, what is 4 + -135746?
-135742
In base 7, what is -50 - -23620?
23540
In base 12, what is -5 - 6764b?
-67654
In base 11, what is 10694a + 8?
106957
In base 14, what is 10577 - a?
1056b
In base 9, what is -1 - 30805?
-30806
In base 13, what is 2443 + 17?
245a
In base 8, what is -140 - 711?
-1051
In base 15, what is -13679 - -19?
-13660
In base 5, what is 3014041 - 12?
3014024
In base 7, what is 20 - 4004?
-3654
In base 7, what is -145 + -1624?
-2102
In base 2, what is -101 - -111111100000?
111111011011
In base 12, what is 3529 + 6?
3533
In base 4, what is -110 + 100332?
100222
In base 8, what is -1221 + 1520?
277
In base 13, what is -73 - 1200c?
-12082
In base 12, what is -1137 - -b7?
-1040
In base 7, what is -60115 + -210?
-60325
In base 12, what is -62 + -42a?
-490
In base 6, what is -105402210 + 1?
-105402205
In base 8, what is 26 + -504?
-456
In base 2, what is 10010010100011001110011 + -10?
10010010100011001110001
In base 14, what is 0 + -1a3d0?
-1a3d0
In base 11, what is 4 + 254?
258
In base 6, what is 14233554 - -21?
14234015
In base 10, what is -2 + 181281?
181279
In base 8, what is 4122 + 20?
4142
In base 16, what is -12e8 - -3?
-12e5
In base 13, what is 4 + -a111?
-a10a
In base 7, what is 4126 - 3252?
544
In base 7, what is -640 + 14?
-623
In base 6, what is -3 - 204241?
-204244
In base 13, what is -46 - -74b3?
746a
In base 12, what is -b9a - 26?
-1004
In base 7, what is -540 + 6?
-531
In base 13, what is 20861 + 3?
20864
In base 13, what is -4 + 3aa?
3a6
In base 12, what is 581 - -16a?
72b
In base 16, what is -6b + -70?
-db
In base 16, what is -b - -252?
247
In base 14, what is 4 - 1051b?
-10517
In base 3, what is -2010212 + 100000?
-1210212
In base 9, what is -11176 + 60?
-11116
In base 7, what is 102 + 2260?
2362
In base 6, what is 505020 + -134?
504442
In base 8, what is -13 - 26602?
-26615
In base 3, what is 2 - -10020211021?
10020211100
In base 14, what is 8 - -d4376?
d4380
In base 5, what is -2140313 - 4?
-2140322
In base 15, what is -a9 + 518?
45e
In base 9, what is -485430 - -5?
-485424
In base 6, what is 4 - -441?
445
In base 11, what is -124287 + 1?
-124286
In base 3, what is 12222 - 10221200?
-10201201
In base 2, what is 1101000110101100 + 11?
1101000110101111
In base 6, what is -212 - -3255?
3043
In base 15, what is cb + -2b9?
-1dd
In base 16, what is -4 + f03da?
f03d6
In base 12, what is -1007541 - 5?
-1007546
In base 16, what is 4ca - -b4?
57e
In base 14, what is 2 + 953dc?
95400
In base 2, what is 100111111111001 - -1?
100111111111010
In base 8, what is 261400 + -3?
261375
In base 13, what is -962 - 6?
-968
In base 11, what is -144a93 - 5?
-144a98
In base 6, what is -324325 - 10?
-324335
In base 11, what is 9 - 1309?
-1300
In base 12, what is 182 - -65?
227
In base 3, what is 2011120 - 11011?
2000102
In base 2, what is -1000001010101 + -1011101?
-1000010110010
In base 7, what is 5 - -2115145?
2115153
In base 6, what is 22 + -115012?
-114550
In base 11, what is -95889 - -3?
-95886
In base 14, what is -4 + 31066?
31062
In base 8, what is -3023 + -12?
-3035
In base 3, what is -1 - 1211122202?
-1211122210
In base 6, what is 1212 + -211?
1001
In base 14, what is 292 - 2d?
263
In base 16, what is -a8b - -3be?
-6cd
In base 8, what is 34560 + -17?
34541
In base 14, what is 4 - -1cc2b?
1cc31
In base 8, what is 3 - -3636007?
3636012
In base 3, what is 11 + -10202002?
-10201221
In base 5, what is 2 + -3331430?
-3331423
In base 15, what is 9e + -32?
6c
In base 14, what is 2 - -7dd3?
7dd5
In base 16, what is -a + -a83?
-a8d
In base 15, what is 55 - c10?
| {
"pile_set_name": "DM Mathematics"
} |
rs of 1001.
7, 11, 13
List the prime factors of 30238.
2, 13, 1163
What are the prime factors of 64248?
2, 3, 2677
What are the prime factors of 36157?
11, 19, 173
What are the prime factors of 801?
3, 89
What are the prime factors of 52988?
2, 13, 1019
What are the prime factors of 144019?
59, 2441
List the prime factors of 37496.
2, 43, 109
What are the prime factors of 51231?
3, 17077
List the prime factors of 24174.
2, 3, 17, 79
List the prime factors of 61585.
5, 109, 113
What are the prime factors of 62620?
2, 5, 31, 101
List the prime factors of 2220.
2, 3, 5, 37
What are the prime factors of 1248?
2, 3, 13
What are the prime factors of 407?
11, 37
List the prime factors of 46091.
46091
List the prime factors of 4400.
2, 5, 11
What are the prime factors of 2588?
2, 647
List the prime factors of 43287.
3, 47, 307
What are the prime factors of 5312?
2, 83
List the prime factors of 911.
911
List the prime factors of 5692.
2, 1423
What are the prime factors of 2565?
3, 5, 19
List the prime factors of 124712.
2, 7, 17, 131
List the prime factors of 5315.
5, 1063
What are the prime factors of 161083?
13, 12391
What are the prime factors of 1628?
2, 11, 37
What are the prime factors of 4943?
4943
List the prime factors of 755.
5, 151
List the prime factors of 3685.
5, 11, 67
What are the prime factors of 23068?
2, 73, 79
What are the prime factors of 33658?
2, 16829
What are the prime factors of 1350?
2, 3, 5
What are the prime factors of 13417?
13417
List the prime factors of 17228.
2, 59, 73
What are the prime factors of 10665?
3, 5, 79
What are the prime factors of 253?
11, 23
List the prime factors of 6089.
6089
What are the prime factors of 625?
5
List the prime factors of 92.
2, 23
List the prime factors of 10579.
71, 149
List the prime factors of 97959.
3, 32653
List the prime factors of 37701.
3, 59, 71
List the prime factors of 7257.
3, 41, 59
What are the prime factors of 5928?
2, 3, 13, 19
List the prime factors of 3914.
2, 19, 103
What are the prime factors of 1249?
1249
List the prime factors of 10237.
29, 353
What are the prime factors of 56484?
2, 3, 523
List the prime factors of 14149.
14149
What are the prime factors of 5188?
2, 1297
List the prime factors of 2799.
3, 311
What are the prime factors of 3910?
2, 5, 17, 23
What are the prime factors of 145504?
2, 4547
What are the prime factors of 1523?
1523
What are the prime factors of 284?
2, 71
List the prime factors of 934.
2, 467
What are the prime factors of 3788?
2, 947
List the prime factors of 6033.
3, 2011
What are the prime factors of 15437?
43, 359
List the prime factors of 15922.
2, 19, 419
List the prime factors of 20391.
3, 7, 971
List the prime factors of 28603.
28603
List the prime factors of 879.
3, 293
List the prime factors of 62558.
2, 31, 1009
List the prime factors of 396.
2, 3, 11
List the prime factors of 207.
3, 23
What are the prime factors of 6342?
2, 3, 7, 151
What are the prime factors of 45575?
5, 1823
List the prime factors of 467.
467
List the prime factors of 2922.
2, 3, 487
What are the prime factors of 13741?
7, 13, 151
List the prime factors of 14.
2, 7
What are the prime factors of 1793?
11, 163
What are the prime factors of 53490?
2, 3, 5, 1783
What are the prime factors of 99119?
99119
List the prime factors of 21714.
2, 3, 7, 11, 47
List the prime factors of 10054.
2, 11, 457
List the prime factors of 229.
229
List the prime factors of 1932.
2, 3, 7, 23
List the prime factors of 76003.
76003
List the prime factors of 92.
2, 23
What are the prime factors of 1536?
2, 3
What are the prime factors of 669?
3, 223
List the prime factors of 60635.
5, 67, 181
List the prime factors of 1387.
19, 73
List the prime factors of 29128.
2, 11, 331
List the prime factors of 66790.
2, 5, 6679
What are the prime factors of 183?
3, 61
What are the prime factors of 10627?
10627
What are the prime factors of 1183?
7, 13
List the prime factors of 20182.
2, 10091
List the prime factors of 265.
5, 53
List the prime factors of 7603.
7603
What are the prime factors of 4584?
2, 3, 191
What are the prime factors of 12750?
2, 3, 5, 17
List the prime factors of 1637.
1637
What are the prime factors of 267?
3, 89
What are the prime factors of 69272?
2, 7, 1237
What are the prime factors of 14892?
2, 3, 17, 73
What are the prime factors of 106496?
2, 13
List the prime factors of 191.
191
List the prime factors of 73407.
3, 24469
List the prime factors of 16909.
37, 457
List the prime factors of 121757.
313, 389
List the prime factors of 229.
229
List the prime factors of 1121.
19, 59
What are the prime factors of 7885?
5, 19, 83
List the prime factors of 59295.
3, 5, 59, 67
What are the prime factors of 103602?
2, 3, 31, 557
What are the prime factors of 2038?
2, 1019
What are the prime factors of 24390?
2, 3, 5, 271
List the prime factors of 382.
2, 191
List the prime factors of 47225.
5, 1889
What are the prime factors of 9344?
2, 73
List the prime factors of 29845.
5, 47, 127
What are the prime factors of 3821?
3821
What are the prime factors of 2058?
2, 3, 7
List the prime factors of 2312.
2, 17
What are the prime factors of 64129?
13, 4933
What are the prime factors of 237?
3, 79
What are the prime factors of 8667?
3, 107
What are the prime factors of 27486?
2, 3, 509
List the prime factors of 632.
2, 79
List the prime factors of 471.
3, 157
List the prime factors of 45556.
2, 7, 1627
List the prime factors of 2270.
2, 5, 227
What are the prime factors of 11085?
3, 5, 739
List the prime factors of 1451.
1451
List the prime factors of 1163.
1163
What are the prime factors of 5634?
2, 3, 313
What are the prime factors of 25022?
2, 12511
What are the prime factors of 20924?
2, 5231
What are the prime factors of 921?
3, 307
What are the prime factors of 1153?
1153
List the prime factors of 13068.
2, 3, 11
What are the prime factors of 1370?
2, 5, 137
List the prime factors of 37101.
3, 83, 149
What are the prime factors of 9183?
3, 3061
What are the prime factors of 25326?
2, 3, 7, 67
What are the prime factors of 5676?
2, 3, 11, 43
List the prime factors of 17070.
2, 3, 5, 569
What are the prime factors of 669?
3, 223
What are the prime factors of 38608?
2, 19, 127
What are the prime factors of 4126?
2, 2063
What are the prime factors of 9459?
3, 1051
What are the prime factors of 306?
2, 3, 17
List the prime factors of 76780.
2, 5, 11, 349
What are the prime factors of 105512?
2, 11, 109
What are the prime factors of 1395?
3, 5, 31
List the prime factors of 60.
2, 3, 5
List the prime factors of 123.
3, 41
List the prime factors of 864.
2, 3
List the prime factors of 942.
2, 3, 157
List the prime factors of 1872.
2, 3, 13
List the prime factors of 3150.
2, 3, 5, 7
What are the prime factors of 434?
2, 7, 31
What are the prime factors of 213?
3, 71
What are the prime factors of 1958?
2, 11, 89
What are the prime factors of 346?
2, 173
List the prime factors of 18255.
3, 5, 1217
List the prime factors of 4449.
3, 1483
What are the prime factors of 978?
2, 3, 163
List the prime factors of 148778.
2, 7, 10627
What are the prime factors of 7598?
2, 29, 131
List the prime factors of 3283.
7, 67
List the prime factors of 1310.
2, 5, 131
What are the prime factors of 19221?
3, 43, 149
List the prime factors of 2170.
2, 5, 7, 31
What are the prime factors of 1086?
2, 3, 181
What are the prime factors of 8792?
2, 7, 157
List the prime factors of 43360.
2, 5, 271
List the prime factors of 73871.
7, 61, 173
List the prime factors of 4817.
4817
What are the prime factors of 14335?
5, 47, 61
List the prime factors of 1045.
5, 11, 19
What are the prime factors of 5375?
5, 43
List the prime factors of 24931.
107, 233
What are the prime factors of 14619?
3, 11, 443
What are the prime factors of 9727?
71, 137
What are the prime factors of 14708?
2, 3677
What are the prime factors of 1183?
7, 13
List the prime factors of 141898.
2, 70949
List the prime factors of 1122.
2, 3, 11, 17
What are the prime factors of 30642?
2, 3, 5107
What are the prime factors of 36876?
2, 3, 7, 439
What are the prime factors of 1935?
3, 5, 43
What are the prime factors of 29889?
3, 41
What are the prime factors of 10611?
3, 131
What are the prime factors of 3934?
2, 7, 281
List the prime factors of 384 | {
"pile_set_name": "DM Mathematics"
} |
Factor r(j).
-2*(j - 1)**2
Factor 5*d**5 - 22*d**4 - 293*d**3 - 296*d**3 + 597*d**3.
d**3*(d - 4)*(5*d - 2)
Determine f, given that 204/5*f + 28/5*f**3 + 32*f**2 - 72/5 = 0.
-3, 2/7
Let u = -71 + 73. Factor -9*k**u - 25*k**4 + 8*k**4 + 11*k**4 - 6*k + 9*k**4.
3*k*(k - 2)*(k + 1)**2
Let d(w) be the first derivative of -7 + 1/12*w**6 + 1/8*w**4 - 3/10*w**5 + 1/2*w**3 + 0*w - 1/2*w**2. Solve d(l) = 0 for l.
-1, 0, 1, 2
Let a(k) be the first derivative of -2/3*k + 8 - 2/3*k**2 + 0*k**3 + 2/15*k**5 + 1/3*k**4. Factor a(t).
2*(t - 1)*(t + 1)**3/3
Factor -5/2*b**3 + 30*b + 27/2*b**2 - 14.
-(b - 7)*(b + 2)*(5*b - 2)/2
Factor 296/3*u**3 - 4/3*u**5 + 0*u**2 - 140/3*u**4 + 0 + 0*u.
-4*u**3*(u - 2)*(u + 37)/3
Let f(v) be the second derivative of 0*v**2 - 1/10*v**5 - 1/30*v**6 + 1/3*v**3 + 0 + 1/12*v**4 + 7*v. Let f(t) = 0. Calculate t.
-2, -1, 0, 1
Let v = -65 - -67. Find r such that -r**2 + 3*r**v + 2*r**3 + 3*r**2 + 6*r + 3*r**2 = 0.
-3, -1, 0
Let m(t) be the first derivative of 5 + 0*t**4 + 1/5*t**5 + 0*t**2 + 0*t - 1/3*t**3. Factor m(a).
a**2*(a - 1)*(a + 1)
Suppose 4*u + 15 + 13 = 4*g, -g - 13 = 4*u. What is b in -9*b**5 - 4*b**g - 5*b**4 + 8*b**4 - 2*b**3 + 12*b**4 = 0?
0, 2/3, 1
Let h(o) be the third derivative of 15/8*o**4 - 7/20*o**6 - 1/10*o**5 - 1/112*o**8 + 28*o**2 + 0*o + 0 + 9/70*o**7 - 7/2*o**3. Factor h(a).
-3*(a - 7)*(a - 1)**3*(a + 1)
Let f(z) = -z**2 + 558*z + 3958. Let n be f(-7). Solve 30/11*a**4 + 12/11*a**5 - 24/11*a - 6/11 + 12/11*a**n - 24/11*a**2 = 0.
-1, -1/2, 1
Let t(v) be the third derivative of v**5/180 - 5*v**4/24 + 2*v**3 + 14*v**2 + 3. Factor t(l).
(l - 12)*(l - 3)/3
Let k = -8665 + 60667/7. Factor -5/7*y**2 + k*y - 4/7.
-(y - 2)*(5*y - 2)/7
Let s(n) be the first derivative of -n**3/7 - 9*n**2/14 - 6*n/7 + 227. Determine k so that s(k) = 0.
-2, -1
Let q(u) = u**3 - 3*u**2 + 11*u - 36. Let r(b) = -b**2 + 1. Let w(y) = -q(y) - 4*r(y). Let p be w(6). Let -4/5 + 2*s + 2/5*s**3 - 8/5*s**p = 0. Calculate s.
1, 2
Solve 57*k - 5*k**2 - 35*k**2 - 32*k**3 + 3*k**5 + 33*k**4 + 16 - 9*k - 10*k**5 = 0 for k.
-1, -2/7, 2
Let h(k) be the second derivative of 0*k**3 + 1/30*k**5 + 1/12*k**4 + k**2 - k + 0. Let p(b) be the first derivative of h(b). Factor p(x).
2*x*(x + 1)
Suppose -y - 44 = -4. Let g = y - -111. Solve 10*r - r**4 + 7*r - g*r**4 - 68*r**3 - 20*r**5 - r = 0 for r.
-2, -1, 0, 2/5
Let f be 150/(-35)*(3 - 10). Let z = f + -27. Factor 0 + 1/5*l**z + 2/5*l**2 + 1/5*l.
l*(l + 1)**2/5
Let r = 29 + -27. Factor -5*b**4 + 12*b**3 + 3*b**5 - 6*b**4 + b**4 + b - 6*b**r.
b*(b - 1)**3*(3*b - 1)
Let x(l) be the third derivative of l**6/300 + 8*l**5/75 - 166*l**2. Let x(q) = 0. What is q?
-16, 0
Let t(g) be the first derivative of 63*g**4 + 184*g**3/3 + 16*g**2 + 93. Factor t(l).
4*l*(7*l + 2)*(9*l + 4)
Let s be (1 + 1)*(-3)/2. Let c be 1 - (-3 + (-1 - s)). Find j, given that -6*j + 3*j**2 + 0*j**c + 0*j = 0.
0, 2
Let 15376*z**2 + 64 - 15375*z**2 - 2*z - 14*z = 0. Calculate z.
8
Suppose f = -0*f + 37. Suppose -1 = 3*n - f. Suppose 12*u**2 - n*u + 34 + 4*u + 8*u**3 - 34 = 0. Calculate u.
-2, 0, 1/2
Let m(f) be the third derivative of f**6/24 + 105*f**5/4 + 55125*f**4/8 + 1929375*f**3/2 + 44*f**2 - 1. Let m(s) = 0. What is s?
-105
Suppose -2*w = -2*h + 6, 2*w = 5*h - 26 + 8. Let v(r) be the second derivative of -1/3*r**2 + 6*r + 1/18*r**h + 1/60*r**5 - 1/18*r**3 + 0. Factor v(i).
(i - 1)*(i + 1)*(i + 2)/3
Determine o so that 48778/11 + 5220/11*o**2 + 53824/11*o + 16*o**3 + 2/11*o**4 = 0.
-29, -1
Suppose m - 8 = -2*c, -3*m - 20 = -5*c - m. Factor 4*i**3 - 8*i**2 - 4*i + 0*i**3 - 2*i**c + 10*i**2.
-2*i*(i - 2)*(i - 1)*(i + 1)
Let k = 1401 + -1401. Factor 0*x + 0 - 5/3*x**3 + k*x**2.
-5*x**3/3
Let i = 47531/4 + -11881. Suppose 3*d - 1 + i*d**2 = 0. Calculate d.
-2, 2/7
Let w(d) be the second derivative of 13*d + 0 - 3/110*d**5 - 1/33*d**3 + 0*d**2 - 1/22*d**4 - 1/165*d**6. Factor w(z).
-2*z*(z + 1)**3/11
Let a = -19169/90 - -213. Let k(h) be the second derivative of -a*h**4 - 4/15*h**2 + 4/45*h**3 + 0 + 3*h. Determine o, given that k(o) = 0.
2
Let j = 236 + -210. Let a be (j/(-117))/((-3)/27). Find i such that 2/5*i - 1/5*i**a + 0 = 0.
0, 2
Suppose -7*a - 6573 = -6573. Find t, given that 2/11*t**3 - 4/11*t**2 + 0 + a*t = 0.
0, 2
Let s be (5/10)/(2/112). Find g, given that 36*g**4 - 44*g**3 + 2*g**3 - 6*g**3 + s*g**5 - 16*g**2 = 0.
-2, -2/7, 0, 1
Suppose 422 + 793 - 12*b**3 - 94*b - 48*b**2 + 279*b + 112*b = 0. What is b?
-9/2, 5
Let l(f) be the third derivative of -f**8/588 - 4*f**7/735 + 3*f**6/35 + 8*f**5/105 - 41*f**4/42 - 20*f**3/7 - 2*f**2 - 2. Let l(z) = 0. Calculate z.
-5, -1, 2, 3
Let r(p) = -8*p**3 + 149*p**2 - 2315*p + 5630. Let x(q) = 9*q**3 - 147*q**2 + 2313*q - 5631. Let f(c) = 6*r(c) + 5*x(c). Determine s so that f(s) = 0.
3, 25
Find k such that -6*k + 16/3 + 2/3*k**2 = 0.
1, 8
Solve 980/11*z**4 + 672/11*z**3 + 0 + 343/11*z**5 + 16/11*z + 16*z**2 = 0.
-2, -2/7, 0
Let u(m) be the first derivative of m**7/63 - m**6/45 - m**5/30 + m**4/18 + 3*m + 3. Let r(z) be the first derivative of u(z). Factor r(q).
2*q**2*(q - 1)**2*(q + 1)/3
Suppose 2*q + 78 = 3*q. Let h = q + -74. Factor -46/3*i - 464/3*i**3 + 208/3*i**2 - 224/3*i**5 + 4/3 + 512/3*i**h.
-2*(2*i - 1)**4*(7*i - 2)/3
Let v(g) = g**2 + 9*g + 20. Let u be v(-7). Let r be -4 - 24*u/(-27). Factor -4/3 + r*y - 1/3*y**2.
-(y - 2)**2/3
Let p(j) = 4*j**2 + 19*j - 15. Let b be p(-7). Let f be -2 + 1 - b/(-40). Factor 4/5*y + f*y**2 + 4/5.
(y + 2)**2/5
Let x = -3951/8 + 493. Let f = x + 81/56. Factor 4/7 + f*r**2 + 8/7*r.
4*(r + 1)**2/7
Suppose -m + 58 = 2*j + m, 5*j - 4*m - 190 = 0. Solve -j*o**4 + 16*o**3 - 32 - 16*o**2 - 28*o - 36*o + 40*o**4 = 0.
-2, -2/3, 2
Let c(s) be the third derivative of 0*s + 2*s**3 - 8/45*s**5 - 1/15*s**6 - 2/315*s**7 + 0 - 9*s**2 + 1/3*s**4. Determine b, given that c(b) = 0.
-3, -1, 1
Let z(j) = 16*j**3 + 884*j**2 + 9860*j + 1932. Let t(o) = -o**3 + o - 1. Let h(x) = 4*t(x) - z(x). Factor h(q).
-4*(q + 22)**2*(5*q + 1)
Let h(l) = 65*l**3 - 4945*l**2 + 201745*l - 2756790. Let y(s) = 8*s**3 - 618*s**2 + 25218*s - 344599. Let q(k) = 3*h(k) - 25*y(k). Let q(i) = 0. What is i?
41
Factor 0*j + 2/11*j**5 - 6/11*j**4 - 2/11*j**2 + 0 + 6/11*j**3.
2*j**2*(j - 1)**3/11
Let t(v) be the second derivative of -v**5/120 - v**4/18 + 5*v**3/36 - 3*v. What is l in t(l) = 0?
-5, 0, 1
Let x(d) be the first derivative of -d**4/3 + 10*d**3/3 - 8*d**2 + 5*d - 2. Let r(m) be the first derivative of x(m). Factor r(h).
-4*(h - 4)*(h - 1)
Let q(m) be the first derivative of -5*m**4/4 + 15*m**3 - 115*m**2/2 + 75*m + 55. Determine g so that q(g) = 0.
1, 3, 5
Let o = 6948 + -6946. Let 2/17*x**o + 6/17 + 8/17*x = 0. What is x?
-3, -1
Let m be 9 - (33/231)/(5/245). Factor 0*v - 2/3*v**m + 0 + 1/3*v**3.
v**2*(v - 2)/3
Suppose -4*x - 9 = 15. Let w(k) = -k**2 - 7*k - 4. Let t be w(x). Determine a, given that -6*a + 6*a**2 + 4*a - t*a = 0.
0, 2/3
Let x(q) be the second derivative of -q**5 + 61*q**4/24 - 23*q**3/12 + q**2/2 - q - 363. Solve x(d) = 0.
1/8, 2/5, 1
Let j(o) = 3*o**3 + o**2 + 2*o + 1. Let b(d) = -2*d**3 - 80*d**2 + 34*d - 2. Let g(c) = b(c) + 2*j(c). Suppose g(n) = 0. Calculate n.
0, 1/2, 19
Let d be -25*6/(-45) + 6/(-3). Factor 0 + 0*p + 0*p**2 + 4/3*p**3 + 8/3*p**4 + d*p**5.
4*p**3*(p + 1)**2/3
Let t(z) = -3*z + 1. Let u(n) = 4*n**2 - 136*n + 1592. Let b(c) = 8*t(c) + u(c). Factor b(a).
4*(a - 20)**2
Suppose -66 + 2 - 8*r**4 - 44*r**3 + 71*r + 9*r + 32*r**2 + 4*r**5 = 0. Calculate r.
-2, 1, 4
Let i be (-6)/(-9) - (9/2 + -4). Let k(b) be the second derivative of 0 - 2/3*b**3 + 0*b**2 - i*b**4 + 2*b + 1/10*b**5. Factor k(f).
2*f*(f - 2)*(f + 1)
Let s(m) be the third derivative of -3*m**5/10 - 29*m**4/8 + 5*m**3/2 + 448*m**2. Suppose s(u) = 0. What is u?
-5, 1/6
Let a(u) = u**2 + 11*u + 1. Let w be a(-12). Suppose -7 = 3*t - w. Factor 13*n**4 - 4*n**3 - 7*n**4 + 2*n**t - 4*n**4.
2*n**2*(n - 1)**2
Suppose 0 = 25*a - 113 - 37. Let o(u) be the second derivative of -2/15*u**3 + 1/10*u**4 - 1/75*u**a + 0*u**2 + 0*u**5 + 0 - 2*u. Let o(n) = 0. Calculate n.
-2, 0, 1
Let c be 0 + 0 + (-6 - 1). Let s(x) = -9*x**2 + x + 3. Let h(m) be the first derivative of 2*m**3 - m**2/2 - 2*m - 34. Let p(d) = c*h(d) - 5*s(d). Factor p(k).
(k + 1)*(3*k - 1)
Let y(b) be the first derivative of -b**4/3 - 2*b | {
"pile_set_name": "DM Mathematics"
} |
(n) + 3*q(n). Factor m(w).
-(w - 6)*(w + 2)
Let q be 19 + -7 + -4 + -7. Let b(u) be the first derivative of 0*u - q - 2/15*u**3 - 3/5*u**2. Factor b(d).
-2*d*(d + 3)/5
Factor 1/3*g**2 + 0 - 13/3*g.
g*(g - 13)/3
Let b(v) = v**3 - 6*v + 4. Let j(w) = -w + 2. Let c(s) = -b(s) + 3*j(s). Factor c(h).
-(h - 2)*(h + 1)**2
Let n(l) be the first derivative of 1/12*l**3 + 0*l + 12 - 1/4*l**2. What is j in n(j) = 0?
0, 2
Suppose 3*f - 52 = 2*i, 5*f + 7*i - 5*i - 60 = 0. Let v be 2*3/15*(f - 9). Suppose 4/7 + 32/7*m + 36/7*m**4 + 93/7*m**3 + 85/7*m**v = 0. What is m?
-1, -2/3, -1/4
Let -4/3*b**2 - 220/3*b + 152 = 0. Calculate b.
-57, 2
Let u(w) be the first derivative of -w**3/6 + 50*w**2 - 5000*w - 526. Factor u(y).
-(y - 100)**2/2
Let r(z) be the first derivative of -3 - 5/4*z**4 - 85/12*z**3 - 15/4*z - 10*z**2. Factor r(i).
-5*(i + 1)*(i + 3)*(4*i + 1)/4
Let r be 3 - (1/3 + (-575)/(-300)). Let m(j) be the second derivative of 3/4*j**3 - 3*j + r*j**2 + 0 + 3/8*j**4 + 3/40*j**5. Let m(c) = 0. Calculate c.
-1
Let b(v) be the first derivative of -7*v**3 + 7*v**2/2 + 4*v + 32. Let g(s) = -11*s**2 + 3*s + 2. Let y(j) = 3*b(j) - 5*g(j). Let y(t) = 0. What is t?
-1/4, 1
Let x(p) be the first derivative of 22*p - 5 + 12*p**2 + 2/3*p**3. Suppose x(j) = 0. What is j?
-11, -1
Let j = 208 + -1455/7. Let g(l) be the first derivative of 5 + 1/14*l**4 + 2/21*l**3 - 2/7*l - j*l**2. What is k in g(k) = 0?
-1, 1
Factor 0 + 1/7*y**4 + 0*y + 144/7*y**2 - 24/7*y**3.
y**2*(y - 12)**2/7
Factor -7*d**2 - 10*d - 722 - 5*d**2 - 66*d + 10*d**2.
-2*(d + 19)**2
Let g(m) be the first derivative of -65*m**6/18 + 4*m**5/3 + 149. Factor g(b).
-5*b**4*(13*b - 4)/3
Let c(j) be the second derivative of 9*j + 1/96*j**4 + 0 - 1/336*j**7 + 0*j**2 - 3/160*j**5 + 0*j**3 + 1/80*j**6. Find f such that c(f) = 0.
0, 1
Let p = -5/211 + 8485/1899. Suppose 0*j + 8/9*j**2 + 0 + 46/9*j**4 + 14/9*j**5 + p*j**3 = 0. What is j?
-2, -1, -2/7, 0
Factor -62*z**2 - 4*z**4 - 4*z + 0 + 127/4*z**3.
-z*(z - 4)**2*(16*z + 1)/4
Determine o so that 284*o**3 + 834*o**4 + 928*o**4 - 76*o - 44*o**5 - 36*o**2 - 1858*o**4 - 20*o**5 - 12 = 0.
-3, -1/4, 1
Let q(k) be the third derivative of 25*k**8/336 - k**7/42 - 64*k**2. Factor q(t).
5*t**4*(5*t - 1)
Let v(q) = -q**3 + 11*q**2 - 5*q - 5. Let m = 79 + -72. Let l(h) = -2*h**3 + 16*h**2 - 7*h - 7. Let y(o) = m*v(o) - 5*l(o). Determine s, given that y(s) = 0.
0, 1
Let n(y) be the third derivative of y**8/336 - y**7/42 + 7*y**6/120 + y**5/60 - y**4/3 + 2*y**3/3 + 122*y**2. Suppose n(j) = 0. What is j?
-1, 1, 2
Let f(d) = -9*d**2 - 31*d - 72. Let l(o) = 5*o**2 + 16*o + 36. Suppose u - 2*u = -4*k + 27, 2*u + 9 = -k. Let x(s) = u*l(s) - 4*f(s). Find y such that x(y) = 0.
-6
Let r = 344 - 193. Factor -2*o**2 - r*o + 147*o + 3 + 3.
-2*(o - 1)*(o + 3)
Let p be (0 - 2)*16/64*-1. Find y such that -7/2*y + p*y**4 + 1 + 9/2*y**2 - 5/2*y**3 = 0.
1, 2
Let l be (1 + 0)*(-1 + 1). Factor -15*u**2 + l*u + 3*u - 8*u.
-5*u*(3*u + 1)
Let t = -390 + 394. Let i(l) be the second derivative of 0 + 7*l - 9/10*l**5 + 7/6*l**t - 2/3*l**3 - 1/21*l**7 + 0*l**2 + 1/3*l**6. Find j, given that i(j) = 0.
0, 1, 2
Let j(u) be the first derivative of -343*u**4/12 - 196*u**3/3 - 56*u**2 - 64*u/3 + 56. Factor j(g).
-(7*g + 4)**3/3
Let c(a) = 0*a**2 + 6*a - 1 + 8*a - 6*a**2 - 7*a. Let q(h) be the first derivative of -h**3 + 3*h**2/2 - 4. Let m(p) = 3*c(p) - 5*q(p). Factor m(s).
-3*(s - 1)**2
Solve -2/3*l + 1/3*l**4 + 5/3*l**2 - 4/3*l**3 + 0 = 0.
0, 1, 2
Factor 2400*m + 315/2*m**2 - 2560 + 5/2*m**3.
5*(m - 1)*(m + 32)**2/2
Factor 2*q**2 + 20*q**4 + 20*q**3 - 18*q**2 - 32*q + 4*q**3 + 4*q**5 + 5 - 5.
4*q*(q - 1)*(q + 2)**3
Let t(w) be the third derivative of 1/45*w**5 + 0*w + 0 + 0*w**4 + 0*w**3 - 1/315*w**7 - 1/180*w**6 - 5*w**2. Factor t(a).
-2*a**2*(a - 1)*(a + 2)/3
Factor 33*s**4 - 7*s - 38*s**4 + 2*s + 5*s**3 + 5*s**2.
-5*s*(s - 1)**2*(s + 1)
Let g(m) be the first derivative of 1/5*m - 1/10*m**2 - 1/30*m**6 + 1/25*m**5 + 13 + 1/10*m**4 - 2/15*m**3. Factor g(k).
-(k - 1)**3*(k + 1)**2/5
Let f = 67 - 70. Let z be ((-6)/28)/(f - 3/(-2)). Factor 0*t - 2/7*t**2 - z*t**3 + 0.
-t**2*(t + 2)/7
Let j(d) be the first derivative of 15*d**6/4 + 21*d**5/10 - 141*d**4/8 + 9*d**3/2 + 15*d**2 - 6*d + 251. Find y, given that j(y) = 0.
-2, -2/3, 1/5, 1
Suppose 0 = 3*b - 3, 0 = -y - b + 5*b. Suppose -7*j = -2*j - 4*x, 3*j + x = 0. Factor 1/6*k + 0 + j*k**y - 1/3*k**3 + 0*k**2 + 1/6*k**5.
k*(k - 1)**2*(k + 1)**2/6
Suppose -468/7*l - 2/7*l**2 - 27378/7 = 0. What is l?
-117
Let t(b) be the first derivative of 1/7*b**2 - 1/21*b**3 - 1 - 1/7*b. Let t(r) = 0. Calculate r.
1
Suppose 30*q - 35*q + 5370 = 0. Find s, given that -4*s**3 + q*s - 6 - 1083*s + 7*s**3 = 0.
-1, 2
Let n(m) = -8*m**3 - 9*m**2 + 7*m + 7. Let r(o) = 7*o**3 + 8*o**2 - 6*o - 6. Let t(l) = 6*n(l) + 7*r(l). Factor t(b).
b**2*(b + 2)
Let d = 14 - 12. Let p = -8 - -11. Factor 4*m**p - 4*m + 6 - 4*m**2 + 2 - 2 - d.
4*(m - 1)**2*(m + 1)
Let q(a) = 9*a**4 + 20*a**3 - 11*a**2 - 50*a + 44. Let g(h) = 19*h**4 + 40*h**3 - 21*h**2 - 100*h + 89. Let o(j) = -4*g(j) + 9*q(j). Let o(t) = 0. Calculate t.
-4, -2, 1
Suppose 0 = -20*a - 51 + 111. Determine p so that 0*p**2 - 1/5*p + 1/5*p**a + 0 = 0.
-1, 0, 1
Let n(s) be the first derivative of 9*s + 1/3*s**3 - 4 + 0*s**2 + 1/3*s**4 + 1/10*s**5. Let y(g) be the first derivative of n(g). What is d in y(d) = 0?
-1, 0
Suppose 6*h = -2*h + 24. Solve 17*z**2 - 25*z**2 + 0*z**3 - 2*z**h - 8*z = 0.
-2, 0
Let f(c) be the third derivative of c**10/37800 + c**9/5040 - c**7/315 + 2*c**5/15 + 3*c**2. Let t(b) be the third derivative of f(b). What is j in t(j) = 0?
-2, 0, 1
Determine p so that 5937*p**4 - 8*p**3 - 5934*p**4 - 25*p**3 + 54*p**2 = 0.
0, 2, 9
Let j be (-5 - -3)*(-12)/(-8). Let z be ((-2)/(-3))/(j/(-243)). Suppose -62 - 52*v + 12*v**3 - v**4 + 160*v - 19 - z*v**2 = 0. Calculate v.
3
Factor -3*l**2 - 2*l**2 - 21 + 30*l + 64 + 37.
-5*(l - 8)*(l + 2)
Let r(g) be the second derivative of g**4/3 - 100*g**3/3 + 1250*g**2 + 50*g. Factor r(h).
4*(h - 25)**2
Let k(n) be the first derivative of -n**6/3 - 152*n**5/15 - 227*n**4/6 - 100*n**3/3 + 92*n**2/3 + 176*n/3 - 554. Determine l so that k(l) = 0.
-22, -2, -1, 2/3
Let j(l) be the second derivative of -4/75*l**6 + 3/25*l**5 + 1/15*l**3 + 0 + 0*l**2 + 16*l - 2/15*l**4 + 1/105*l**7. Find m, given that j(m) = 0.
0, 1
Let g(o) be the third derivative of o**7/630 + 2*o**6/45 - 5*o**5/12 + 49*o**4/36 - 20*o**3/9 - 663*o**2. Find m such that g(m) = 0.
-20, 1, 2
Let h(s) be the third derivative of -s**5/330 + s**4/44 - 2*s**2 + 5. Suppose h(j) = 0. Calculate j.
0, 3
Let q(d) be the first derivative of 6/7*d - 6/35*d**5 + 0*d**3 + 15/28*d**4 - 9 - 15/14*d**2. Find r, given that q(r) = 0.
-1, 1/2, 1, 2
Suppose 3*h + 4*l = 0, h + h = 4*l + 20. Determine s, given that 3*s**2 + 9*s**h + 140 - 140 - 12*s**3 = 0.
0, 1/3, 1
Let s be (-2)/15 + 231/45. Let h(d) be the first derivative of 0*d + 7 - 4/15*d**s - 8/9*d**3 - 4/9*d**2 - 13/18*d**4 - 1/27*d**6. Factor h(p).
-2*p*(p + 1)**2*(p + 2)**2/9
Let j(b) be the first derivative of -b**6/8 - 9*b**5/20 + 21*b**4/16 + 15*b**3/4 - 27*b**2/4 - 90. Solve j(k) = 0.
-3, 0, 1, 2
Let r(n) be the second derivative of n**7/18 + 13*n**6/18 - n**5/20 - 181*n**4/36 + 38*n**3/9 + 6*n**2 + 577*n. Suppose r(z) = 0. What is z?
-9, -2, -2/7, 1
Let o(d) be the third derivative of d**7/70 - 19*d**6/8 + 279*d**5/20 - 277*d**4/8 + 46*d**3 + 54*d**2 - 2. Factor o(f).
3*(f - 92)*(f - 1)**3
Suppose 18*z = 89*z + 16*z - 174. Factor 0 - w**z + 1/3*w**4 + 2/3*w + 0*w**3.
w*(w - 1)**2*(w + 2)/3
Let t = 137/320 + 11/64. Factor 3/5*f + 3/5 - t*f**3 - 3/5*f**2.
-3*(f - 1)*(f + 1)**2/5
Let a(b) = -3*b. Let v(i) = -5*i**2. Let t(f) = -14*f**2 + f. Let d(q) = -4*t(q) + 11*v(q). Let g(u) = -3*a(u) + 3*d(u). Factor g(m).
3*m*(m - 1)
Let c(z) = 2*z**3 - 5*z. Let n(f) = -f**3 + f**2 + f. Let o(h) = h**2 + 7*h + 7. Let j be o(-6). Let r(l) = j*c(l) + 3*n(l). Find s, given that r(s) = 0.
0, 1, 2
Let u be -7 + (-1)/(44/(-14) + 3). Factor u + 0*n**2 - 1/4*n + 1/4*n**3.
n*(n - 1)*(n + 1)/4
Let y(j) be the first derivative of -j**6/540 - j**5/90 + j**4/12 - 4*j**3/3 + 16. Let t(d) be the third derivative of y(d). Determine u so that t(u) = 0.
-3, 1
Let n(w) = -3*w**5 - 7*w**4 + 103*w**3 - 227*w**2 + 173* | {
"pile_set_name": "DM Mathematics"
} |
(z) + t(z).
2*z - 1
Let u(w) = 3*w + 5. Let b(n) = 11*n + 12. Let v(x) = -2*b(x) + 5*u(x). Let d(k) = -k. What is -3*d(p) + v(p)?
-4*p + 1
Let k(y) = y**2 - y - 1. Suppose 5*c + 4*a = -21, -5*a = 49*c - 44*c + 20. Let p(q) = -3*q**3 - 3*q**2 + 5*q + 5. What is c*k(d) - p(d)?
3*d**3 - 2*d**2
Let i(h) = 278189*h + 1981. Let b(d) = -562*d - 4. Calculate -1981*b(a) - 4*i(a).
566*a
Let j(i) = 1281*i + 10. Let t(u) = -5125*u - 45. Give -9*j(r) - 2*t(r).
-1279*r
Let w(l) = 2*l**2 - 1. Let g(h) = 4*h**2 - h - 2. Determine 3*g(v) - 7*w(v).
-2*v**2 - 3*v + 1
Let t(c) = -25*c**2 + 9*c + 25. Let w(i) = 9*i**2 - 3*i - 8. What is -4*t(a) - 11*w(a)?
a**2 - 3*a - 12
Suppose 2*k + 19 = 3*y, 23 = -y - 2*k + 16. Let p(r) = -5*r**2 - r - 9. Let c(b) = 4*b**2 + 8. Determine y*c(j) + 2*p(j).
2*j**2 - 2*j + 6
Let r(h) = 16*h - 1 + 1 - 34361*h**2 + 34337*h**2. Let x(j) = -j**2 + j. What is -r(t) + 16*x(t)?
8*t**2
Let h(l) = -l**2 - 19*l + 386. Let x be h(-30). Let v(k) = 266*k**2. Let n(c) = -14*c**2. Determine x*n(u) + 3*v(u).
14*u**2
Let z(j) = -7*j**3 - 6*j**2 - 6*j - 274. Let y(q) = q**3 + q**2 + q - 3. Give -6*y(g) - z(g).
g**3 + 292
Let r be (-2)/(-6)*(-7 + 16). Let m(j) = -8 + 12*j**2 + 68*j - 38*j + 9*j**r - 38*j - 4*j**2. Let n(a) = -3*a**3 - 3*a**2 + 3*a + 3. Give 3*m(d) + 8*n(d).
3*d**3
Let y(x) = -7*x**3 - 5*x**2 + 4*x + 8. Let q(w) = 48*w**3 + 36*w**2 - 27*w - 54. Determine -4*q(j) - 27*y(j).
-3*j**3 - 9*j**2
Let o(b) = 95046*b**2 + 1023*b. Let l(q) = -186*q**2 - 2*q. What is 2046*l(r) + 4*o(r)?
-372*r**2
Let n(s) = -s**2 - s. Let m(j) = -5*j**2 - 4*j - 174. Calculate -m(h) + 4*n(h).
h**2 + 174
Let a(o) = 11*o**3 - o + 8. Let b(r) = -11*r**3 + r - 7. Give 5*a(s) + 6*b(s).
-11*s**3 + s - 2
Let a(m) = 86*m + 7. Let f(c) = 257*c + 19. What is -8*a(z) + 3*f(z)?
83*z + 1
Suppose 9*z + w = 4*z + 271, 0 = -5*z + 5*w + 295. Let p(u) = -125*u. Let o(x) = 9*x. Calculate z*o(i) + 4*p(i).
-5*i
Let a(y) = 31*y + 2. Let l(v) = -v. What is -a(h) - 5*l(h)?
-26*h - 2
Suppose 0 = 404*y - 412*y - 8. Let p(j) = 5*j**2 + 7*j + 1. Let b(l) = -l**2 - l. What is y*p(g) - 4*b(g)?
-g**2 - 3*g - 1
Let r(h) = 86*h - 357*h + 138*h - 1140*h**2. Let v(w) = -43*w**2 - 5*w. Determine -5*r(u) + 133*v(u).
-19*u**2
Let f(c) = -1254*c**3 + 16*c**2 - 16*c + 10. Let t(m) = -418*m**3 + 5*m**2 - 5*m + 3. Calculate -5*f(z) + 16*t(z).
-418*z**3 - 2
Suppose -14 = -c - 2*c + 4*u, 5*u + 25 = 0. Let o(g) = 26*g**3 + 10*g**2 + 1. Let m(x) = -5*x**3 - 2*x**2. Give c*o(r) - 11*m(r).
3*r**3 + 2*r**2 - 2
Let v(i) = -5*i**3 + 1. Let o(b) = -82*b - 658. Let n be o(-8). Let h(c) = -6*c**3 + 1. Give n*h(r) + 3*v(r).
-3*r**3 + 1
Let i(s) = -s**2 + 4*s - 5. Let z be i(2). Let t(d) = -d**2 - d + 1. Let n(w) = 2*w**3 + 3*w**2 + 2*w. Give z*n(h) - 3*t(h).
-2*h**3 + h - 3
Let s(c) = -3*c. Let x(q) = 9*q - 15. Let f(g) = 2*g - 3. Let n(t) = 5*f(t) - x(t). Give -5*n(v) + s(v).
-8*v
Let o(g) = -g. Let x(j) = -99*j**2 - 22*j. Determine -22*o(i) + x(i).
-99*i**2
Let x(u) = u + 1. Let q(y) = 9*y + 4. Suppose -17*p - 40 = -23. Calculate p*q(g) + 5*x(g).
-4*g + 1
Let o(m) = m + 1. Let x(f) be the third derivative of f**4/8 + 7*f**3/6 - 80*f**2. Give -4*o(h) + x(h).
-h + 3
Let m(i) = -4*i**3 + 2*i**2 + 4*i - 1. Let k be m(2). Let a(b) = -20*b**2 + 11*b - 17. Let r(d) = -7*d**2 + 4*d - 6. Calculate k*r(o) + 6*a(o).
-o**2 - 2*o
Let u(q) = -3 + 1411*q - 2816*q + 1415*q. Let o(m) = -3 - 4 + 3*m + 6. Calculate 14*o(y) - 4*u(y).
2*y - 2
Let c(y) = 2*y**3 - 3*y**2 + 4*y. Let b(f) = f**3 - f**2 + f. Suppose -h = -59*n + 60*n - 5, -3*n + 8 = -4*h. What is h*c(q) - 5*b(q)?
-3*q**3 + 2*q**2 - q
Let b(r) = -r**3 + 5*r**2 + 5*r + 5. Let v(m) = 2*m**3 - 14*m**2 - 14*m - 14. Let k = 9 - 6. Let j be (k - 0) + -1 + -7. Calculate j*v(w) - 14*b(w).
4*w**3
Let l(t) = -9*t**2 + 7*t + 3. Let s(v) = 9*v**2 - 6*v - 2. Calculate 2*l(w) + 3*s(w).
9*w**2 - 4*w
Let f(u) be the first derivative of -u**3/3 + u**2/2 - u - 3990. Let j(i) = 2*i - 4 + 0*i + i**2 - i. Determine -2*f(t) + j(t).
3*t**2 - t - 2
Let m(h) = -22*h**2 + 41*h**2 - 20*h**2 - 1. Let a(l) = 6*l**2 + 12. Give a(c) + 9*m(c).
-3*c**2 + 3
Let v(m) = 5*m + 10. Let p(j) = -8*j - 9. Let y(k) = -2*p(k) - 3*v(k). Let u(x) = -4. What is -8*u(t) + 3*y(t)?
3*t - 4
Let t be 10/(-1) + (-2 - -1). Let x(p) = 2*p - 3. Let j(o) = 30 - o - 104 + 34 + 41. Determine t*j(v) - 4*x(v).
3*v + 1
Let i(f) = 2*f**2 - 8*f - 14. Let n(q) = -q**2 + q - 1. Determine i(l) + 6*n(l).
-4*l**2 - 2*l - 20
Let h(z) = 11*z - 5. Let m = 17 - 12. Suppose 2*j = -3*j - 40. Let d = j - -11. Let r(l) = -6*l + 3. Give d*h(k) + m*r(k).
3*k
Let x(r) = -117*r + 8. Let g(t) = 1055*t - 70. Give 4*g(d) + 35*x(d).
125*d
Let g = 13 + -8. Let r(z) = -3*z - 4*z + 2*z + g + 0. Suppose 4*o - 2*q + q + 25 = 0, 4*q - 23 = 5*o. Let v(p) = -3*p + 3. Give o*v(d) + 4*r(d).
d - 1
Let c(i) = -9*i. Suppose -4*r - l + 2*l = -22, -4*r + 4*l + 16 = 0. Let p = 7 - 4. Let v(t) = p - 1 + t - 2. Determine r*v(x) + c(x).
-3*x
Let s(c) = -2*c**3 + c**2 + 6*c - 4. Let x(y) = -2*y**3 + 2*y**2 + 5*y - 3. Suppose 0 = 2*q + 4*l + 2, -3*q = -7*q + 5*l - 17. Calculate q*s(g) + 4*x(g).
-2*g**3 + 5*g**2 + 2*g
Suppose 2*v - 6 = 2. Let y(u) = 21*u**2 - 27*u. Let b(g) = -3*g**2 + 13 - 2*g + 6*g - 13. Determine v*y(o) + 27*b(o).
3*o**2
Let o(i) = -i. Let d(w) be the first derivative of 2*w**3/3 + 2*w**2 + 2. Let l = -3134 + 3133. Give l*d(f) - 4*o(f).
-2*f**2
Let q be -1*35/7 + 8. Let k(d) = 2*d**2 - 5*d - 3. Let y(w) = -2*w**2 + 4*w + 2. Give q*y(j) + 2*k(j).
-2*j**2 + 2*j
Let n(m) = -2 + 2 + 9*m - 2 - 4*m. Suppose -10*x = 8*x + 126. Let r(f) = 15*f - 7. Determine x*n(q) + 2*r(q).
-5*q
Let b(l) = 2*l**3 + 2*l - 1. Let t(f) = 2202*f**3 + 2936*f - 1468. Determine -1468*b(u) + t(u).
-734*u**3
Let z(d) be the first derivative of -2*d**2 - 5*d - 1. Let f(i) = i - 2. Let k be f(5). Let n(q) = -q - 5 - k + 7. What is -5*n(x) + z(x)?
x
Let f(j) = -j. Let t(h) be the second derivative of -h**4/4 + 4*h**3/3 - h. Let m = 636 - 642. What is m*f(n) - t(n)?
3*n**2 - 2*n
Let l = -514 - -519. Let c(d) = -5*d - 9. Let k(p) = -9*p - 17. Determine l*c(s) - 3*k(s).
2*s + 6
Let f(p) = p**3 + 5*p**2 + p + 6. Let b(x) = -x**3 - 5*x**2 - x - 5. Give -7*b(z) - 6*f(z).
z**3 + 5*z**2 + z - 1
Let h(i) = -4*i**3 + 8*i**2 - 36*i - 9. Let v(y) = y**3 - y**2 + y + 1. Determine h(u) + 6*v(u).
2*u**3 + 2*u**2 - 30*u - 3
Let k(z) = 3*z**3 - z**2 + 2. Let m be (-2)/3*(14 + 17 + -28). Let u(q) = -13*q**3 + 3*q**2 - 9. Calculate m*u(x) - 9*k(x).
-x**3 + 3*x**2
Let g(u) = 5*u - 2. Let y(b) = -2*b - 4. Let t be y(-3). Let s be (3/t)/(5/20). Let z(x) = s*x + 4*x - 3*x + 7*x - 5. Determine -11*g(f) + 4*z(f).
f + 2
Let o(r) = -r**2 + r + 1. Let z(p) = p**2 - 30*p + 83. Let a be z(3). Let x(w) = 5*w**2 - w - 2. Calculate a*o(n) + x(n).
3*n**2 + n
Let y(m) = 9*m**3 - 6*m + 4. Let o(u) = -19*u**3 + 11*u - 8. Determine 6*o(w) + 11*y(w).
-15*w**3 - 4
Let x(p) = p**2 + 1. Let s(g) be the third derivative of -g**5/6 + g**4/8 - 3*g**3/2 + 38*g**2 + 2*g. What is -2*s(r) - 18*x(r)?
2*r**2 - 6*r
Let i(p) = 3*p + 1. Let b(f) = 3*f + 3 - 3 - 4*f + 2*f. What is 2*b(u) - i(u)?
-u - 1
Let b(q) = -565*q**2 - 572*q**2 + 5*q - q**3 + 1137*q**2 + 5. Let r = -7 - -12. Let y(c) = -2*c**3 + 4*c + 4. Calculate r*y(x) - 4*b(x).
-6*x**3
Let f(x) = 7*x - 36. Let w(y) = -3*y + 19. Determine -2*f(q) - 5*w(q).
q - 23
Let o(j) = 36*j - 3. Let a(v) = v. Calculate a(m) + o(m).
37*m - 3
Let p(a) be the third derivative of 0*a + 0 + 16*a**2 - 1/6*a**3. Let y(s) = -7*s + 1. Let b be y(1). Let w(j) = -2*j**2 + 5. Calculate b*p(t) - w(t).
2*t**2 + 1
Let t(z) = z**2 + 1. Let q(w) = -5*w**3 + 3*w**2 - 2*w + 1. Give -q(i) + 3*t(i).
5*i**3 + 2*i + 2
Let a = -54 - -52. Let g(b) = b - 1. Let s(z) be the second derivative of -1/3*z**3 - 2*z + 0 + 1/2*z**2. Give a*s(o) - 3*g(o).
o + 1
Let b(h) = -9*h**2 + 5. Let c(n) = 14*n**2 - 7. Let r(o) = o + 29. Let i be r(-24). Give i*c(z) + 7*b(z).
7*z**2
Let y(d) = -4*d + 650. Let o(b) = b - 162. Calculate -9*o(f) - 2*y(f).
-f + 158
Let g(l) = -7*l**2 - l + 2. Let i(q) = -203*q + 203*q + 0*q**2 + q**2. Calculate g(j) + 3*i(j).
-4*j**2 - j + 2
Let b(k) be the first derivative of -5*k**3/2 + 13*k**2/2 + 15*k - 7. Let l(f) be the first derivative of b(f). Let c(r) = 8*r - 7. Determine 11*c(t) + 6*l(t).
-2*t + 1
Let i | {
"pile_set_name": "DM Mathematics"
} |
actor of 30 and n?
15
Let k be 13/26 + (-42)/(-4) + 1. Suppose -3*z - k = -147. Calculate the greatest common divisor of z and 30.
15
Let t(l) = 15*l - 130. Let i be t(19). Calculate the highest common divisor of i and 31.
31
Let t(z) = -117*z - 16. Let x be t(-6). Let g = 444 - x. Let y = -53 - g. Calculate the highest common divisor of 21 and y.
21
Let q be (7 - 8)/((-2)/28). Calculate the greatest common divisor of 742 and q.
14
Suppose 21*x = -2*x + 207. Calculate the highest common divisor of 324 and x.
9
Suppose -8*n = -7*n + 3*v + 3, -3*v + 15 = 4*n. What is the greatest common factor of 12 and n?
6
Let m = 1538 - 1499. Calculate the highest common factor of 27 and m.
3
Let t(l) = l**3 + 15*l**2 + 15*l + 18. Let y be (-355)/25 + 2/10. Let q be t(y). Suppose -23 = -q*n + 17. What is the highest common factor of n and 10?
10
Suppose 0 = 6*r - 11*r - 3*q + 61, 3*q = -9. Calculate the greatest common factor of 4 and r.
2
Let u = -26 + 27. Let i(r) = -2*r - 11. Let l be i(-8). Suppose 4*c = 2*b + 32, -5*b = -l*c + c + 26. Calculate the greatest common divisor of u and c.
1
Suppose -15*o + 13*o - 24 = -3*k, -o = -2*k + 16. What is the greatest common factor of k and 40?
8
Let r(y) = -3*y + 3. Let c be r(-5). Suppose c + 7 = 5*i. Calculate the highest common divisor of i and 5.
5
Suppose -73 = -5*k + v, -4*k + 4*v - 58 = -9*k. Let a(p) = -p**2 - 18*p - 13 + 0*p**2 + 2 + 1. Let r be a(-8). What is the highest common factor of k and r?
14
Let j be (-116)/(-4) - (-20)/(-4). Suppose 3*c = -j + 57. Calculate the highest common factor of c and 121.
11
Let k(d) = -4*d**2 - 3*d + 1. Let p(z) = 5*z**2 + 3*z. Let h(j) = 2*k(j) + 3*p(j). Let b be h(-2). What is the highest common factor of b and 16?
8
Let f = 27 + 0. Let l = 13 - f. Let h = l - -22. Calculate the greatest common divisor of 64 and h.
8
Suppose -89 = 5*p + 136. Let d be -1 - ((-4)/(-2) + p). Suppose 2*v - 144 - 50 = -4*x, -5*x = 20. What is the greatest common factor of v and d?
21
Let c be (-12)/(-4)*1 + 58. Calculate the highest common factor of c and 61.
61
Let t(h) = 8*h**3 - 1. Let v be t(2). Let n be 16/4*3 - 3. Calculate the greatest common factor of n and v.
9
Suppose 0 = 4*v + 20, -5 = k - 2*v - 13. Let r(b) = -2*b**3 - 4*b**2 - 3*b - 2. Let o be r(k). What is the greatest common divisor of 28 and o?
4
Let p(y) = 6*y**2 - 98*y + 377. Let m be p(4). What is the highest common divisor of 54 and m?
27
Let d = -18 + 25. Let u = -4 + d. Let l be (u + -1)*42/4. Calculate the highest common divisor of 3 and l.
3
Suppose -3*a - 2*a + 5*i = -80, -4*i = -a + 7. Let y = a + -12. Let n = 12 + y. What is the highest common factor of 19 and n?
19
Suppose 54*f - 53*f = 0, 2*n - 138 = -f. What is the greatest common divisor of n and 3?
3
Let v = 2019 + -1051. Calculate the greatest common factor of 8 and v.
8
Suppose -14616 = -78*f - 6*f. What is the greatest common divisor of 464 and f?
58
Let h(b) = -b - 1 + 4 + 0*b - 1. Let g = 56 + -60. Let d be h(g). What is the greatest common factor of 66 and d?
6
Let v(z) = -z**2 - 15*z + 59. Let f be v(-18). What is the highest common divisor of f and 545?
5
Suppose -4*v = 5*b - 22, -6*v = -2*v + 4*b - 20. Suppose -10 + 16 = v*d. Calculate the highest common factor of 14 and d.
2
Let v(u) = u**3 - u**2 + 19. Let c be v(0). Let j = c + -5. Suppose 56 = 3*w + j. Calculate the greatest common divisor of w and 112.
14
Let m = -11 - -71. Suppose 3*d + 0*d - m = 0. Calculate the greatest common divisor of d and 10.
10
Let i = 4 + -3. Let h be (-272)/(-6) - i/3. Let v = h - 25. What is the greatest common divisor of 10 and v?
10
Let v(l) = 11*l**2 + l + 2. Let y be v(4). Let o be 84/(-126) - 152/(-3). Let i = y - o. What is the highest common factor of i and 12?
12
Suppose -4 = -2*a - 0. Let v(z) = -1 + 0*z**2 - 2*z - z**a - 5*z + 2. Let w be v(-6). Calculate the greatest common divisor of 77 and w.
7
Suppose 0 = 2*v - d + 1, 0*d - 4 = 2*v + 2*d. Let l be (14 - v) + (1 - 1). Let b(y) = -59*y + 2. Let j be b(-2). What is the greatest common factor of l and j?
15
Suppose 12*t - 120 = 11*t. What is the greatest common factor of 90 and t?
30
Suppose -16 + 36 = z. Let h = z + -6. Calculate the greatest common divisor of h and 2.
2
Suppose -361 = -7*m + 1774. Calculate the highest common divisor of 61 and m.
61
Let p = -696 - -719. Suppose 4*c - 77 = -5*z, -3*z + 2*c + 0*c = -33. Suppose 3*m - z = p. What is the highest common factor of m and 12?
12
Suppose -79 = a - 204. Let o = -155 + 57. Let t be (-7)/(-14) + o/(-4). Calculate the highest common factor of t and a.
25
Suppose -c = 4*c - 35. Let g be 3/c*-2*-7. Let n = g - -1. What is the greatest common divisor of n and 21?
7
Suppose 2*r - 28 - 46 = 0. Suppose l - r = 2*s + s, -s = -l + 39. What is the highest common factor of l and 8?
8
Suppose -5*z - 5*j = -10, -10 + 4 = -3*z + 4*j. Let a be 184/(-16)*((2 - z) + -4). What is the greatest common divisor of a and 69?
23
Let c be 21 - (-7 - (-8 + 2)). Calculate the highest common divisor of 550 and c.
22
Let o be 1/((-3)/(-6)) - -12. Let n be -3 + (4 - (-2 - 2)). Suppose 0 = n*f - 88 - 192. Calculate the greatest common divisor of f and o.
14
Let b be ((-2)/6)/((-29)/(-2001)). Let d(x) = x + 37. Let r be d(b). What is the greatest common divisor of 56 and r?
14
Let z = -11 - -14. Suppose 0 = z*u - 4*u. Suppose 8*y - 3*y - 15 = u. Calculate the highest common divisor of 6 and y.
3
Let c(k) = 2*k**3 - 6*k**2 - 8*k + 12. Let s be c(5). Suppose -5*z + 72 + 7 = 4*n, n = -4*z + s. What is the greatest common divisor of z and 209?
19
Let l = -1001 - -1012. What is the highest common factor of l and 11?
11
Let v be 4/42*3*7. Suppose -2*n - 144 = -s + 3*n, 0 = 5*s - v*n - 720. Calculate the highest common factor of s and 36.
36
Let j = -35 + 52. Let z(g) = g**2 + 6*g - 9. Let y be z(-7). Let w be (-5)/y - 667/(-46). What is the greatest common divisor of j and w?
17
Suppose -5*g + 111 = -2*j, -4 = -5*j + 3*j. Let y = -24 + g. Let l be (6/(-8))/(y/24). Calculate the highest common divisor of 6 and l.
6
Let v = -71 - -100. Suppose 45*p - 899 = 14*p. Calculate the highest common factor of p and v.
29
Let s be -3 - (-4)/8*14. Suppose 0*b = s*b - 16. Let p be (-80)/(-6)*3/2. What is the greatest common factor of b and p?
4
Suppose -44*k + 125 = -19*k. Suppose 15 = 3*q, 0*c = 4*c + 3*q + 11001. Let d be (c/(-85))/(2/k). What is the highest common divisor of d and 9?
9
Let k = 4 - 6. Let j = 32 - k. Let q = -197 + 282. What is the greatest common divisor of j and q?
17
Suppose -3 = 59*n - 60*n. What is the highest common factor of n and 135?
3
Let u(s) be the second derivative of -9*s**5/5 + s**3/3 + s**2/2 + 8*s. Let n be u(-1). What is the greatest common divisor of 280 and n?
35
Suppose -2*s + 1 = 9, n - 44 = -s. Let o = n - 42. Calculate the greatest common factor of 18 and o.
6
Let y(v) = -20*v**2 - 4*v - 36. Let f(k) = 19*k**2 + 5*k + 35. Let c(h) = 6*f(h) + 5*y(h). Let j be c(-3). Calculate the highest common factor of j and 63.
63
Let x(j) = -15*j**3 - 2*j - 1. Suppose -12*q = -2 + 14. Let y be x(q). Calculate the greatest common factor of 56 and y.
8
Suppose 18 - 13 = y. Suppose -2*h + 10 = 0, 3*i + y*h - 304 = -0*h. Calculate the greatest common factor of i and 31.
31
Let b = 1400 - 839. What is the greatest common factor of b and 11?
11
Let m(b) = -b**2 - 3*b + 9. Let s be m(6). Let l = -41 - s. Calculate the greatest common divisor of 36 and l.
4
Let c(x) be the third derivative of 0*x - 1/12*x**4 + 0 - 9*x**2 - 1/60*x**5 + 4*x**3. Let h be c(0). What is the highest common divisor of 36 and h?
12
Suppose 5*k + b + 31 = 0, 4*k - k + 16 = 2*b. Let q(j) = -4*j - 6. Let o be q(k). What is the highest common divisor of 12 and o?
6
Let k(m) = -8*m**3 + m + 315. Let j be k(0). What is the greatest common factor of j and 84?
21
Suppose -4*m - 59 = -5*m. Suppose s - 64 = -4*h, -m = s - 2*s + h. What is the highest common factor of s and 90?
30
Suppose 37 + 338 = 3*d. What is the greatest common divisor of d and 75?
25
Let o = 1661 - 1658. What is the greatest common factor of o and 339?
3
Let f = -68 + 86. Let b = f + -15. Calculate the highest common factor of b and 9.
3
Let a(u) = 3*u**3 - 3*u**2 + 3*u + 9. Let y be a(-2). Let g = y - -41. Suppose 0 = 2*l - 35 - 29. Calcu | {
"pile_set_name": "DM Mathematics"
} |
(-10)). Factor 0*s + 0 - 2/11*s**2 + 2/11*s**4 - d*s**3 + 2/11*s**5.
2*s**2*(s - 1)*(s + 1)**2/11
Let y be ((-2)/15)/(8/(-10)). Let m(l) be the third derivative of -3*l**2 - 1/60*l**6 + 0*l**3 + 0 + 0*l - 1/30*l**5 + y*l**4. Find q such that m(q) = 0.
-2, 0, 1
Let s be (-1*6)/((36/(-6))/3). Let j(u) be the third derivative of 0*u + 0 - 1/30*u**6 - 1/6*u**s + 0*u**5 + 1/8*u**4 - u**2. Factor j(o).
-(o + 1)*(2*o - 1)**2
Let x be 6/((6/(-4))/(-1)). Factor -z**2 - 3*z + 3*z**2 - x*z + 6*z - z**3.
-z*(z - 1)**2
Let b = -4/11 + 23/33. Let l(y) be the first derivative of -b*y + 2 - 1/9*y**3 + 1/3*y**2. Factor l(w).
-(w - 1)**2/3
Let i(v) be the second derivative of -v**5/15 - v**4/3 + 8*v**2/3 + 5*v. Factor i(k).
-4*(k - 1)*(k + 2)**2/3
Let o be 37/(-222)*(-3)/2. Factor 1/4 + o*j - 1/4*j**2 - 1/4*j**3.
-(j - 1)*(j + 1)**2/4
Let g(v) = v**2 - 2*v + 2. Let p be g(2). Let s be (1 + 1 + -2)/2. Factor -1/3*q**3 + 2/3*q**p + s + 0*q.
-q**2*(q - 2)/3
Let o(k) be the first derivative of 2*k**5/35 + 3*k**4/7 + 26*k**3/21 + 12*k**2/7 + 8*k/7 - 24. What is q in o(q) = 0?
-2, -1
Let k(o) be the first derivative of -2 - 1/5*o**2 - 2/15*o**3 + 4/5*o. What is t in k(t) = 0?
-2, 1
Let -25*w**2 + 4*w**3 - 37*w**2 + 46*w**2 = 0. What is w?
0, 4
Let j = -3493 + 10367/3. Let r = j - -38. Determine d, given that 2/3*d**4 - r*d + 2*d**2 - 2*d**3 + 0 = 0.
0, 1
Let m = 8/9 + -23/36. Factor -m*b**2 - 3/4*b - 1/2.
-(b + 1)*(b + 2)/4
Suppose 0*s**3 - 4/3*s**5 + 4/3*s + 0 - 8/3*s**2 + 8/3*s**4 = 0. Calculate s.
-1, 0, 1
Suppose -6 = -4*w + j - 0, -2 = 3*w - 4*j. Let d(t) be the first derivative of -2 + 2/3*t**3 + 2*t**2 + w*t. What is x in d(x) = 0?
-1
Let w(f) be the third derivative of f**6/840 + f**5/140 + 5*f**2. Factor w(r).
r**2*(r + 3)/7
Find c such that -3 + 3 + 4 + 10*c**4 + 7*c**3 - 14*c**2 - c**3 - 6*c = 0.
-1, 2/5, 1
Let y = -105 - -112. Let n(b) be the third derivative of 0*b + 0 + 1/30*b**5 - 1/12*b**4 + 1/60*b**6 + b**2 + 0*b**3 - 1/105*b**y. Factor n(x).
-2*x*(x - 1)**2*(x + 1)
Let n(r) be the first derivative of 9*r**5/10 - 3*r**4 - 17*r**3/6 + 5*r**2 + 6*r + 20. Factor n(g).
(g - 3)*(g - 1)*(3*g + 2)**2/2
Let m be (0 - (-3389)/29)/6. Let l = m + 69/58. Determine q, given that 0 + 0*q - 40/3*q**3 - 10*q**5 + l*q**4 + 8/3*q**2 = 0.
0, 2/5, 2/3, 1
Let a be (-1 + 14/20)/(18/(-48)). Factor -2*w**2 + a*w + 0.
-2*w*(5*w - 2)/5
Let b(s) be the second derivative of -s**4/6 - s**3/3 - 44*s. What is w in b(w) = 0?
-1, 0
Let j(k) be the first derivative of 3/2*k + 3/16*k**4 - 1 + 15/8*k**2 + k**3. Factor j(l).
3*(l + 1)**2*(l + 2)/4
Let h = 4 + 0. Suppose l - 15 = -h*l. Suppose -2*s - 2*s**2 + s**4 - s**4 + 2*s**l + 2*s**4 = 0. What is s?
-1, 0, 1
Let g = -12 - -12. Suppose x - 8 + 6 = 0. Factor g - 1/3*u**x - 2/3*u.
-u*(u + 2)/3
Let x(a) be the first derivative of 0*a**5 + 0*a + 4 + 0*a**2 + 1/4*a**6 - 3/8*a**4 + 0*a**3. Factor x(n).
3*n**3*(n - 1)*(n + 1)/2
Let x(s) be the second derivative of -s**9/60480 + s**8/26880 + s**7/10080 - s**6/2880 - s**4/4 - 3*s. Let p(o) be the third derivative of x(o). Factor p(h).
-h*(h - 1)**2*(h + 1)/4
Let r(i) = 16*i**5 + 17*i**4 + i**3 + i**2 + 8*i + 7. Suppose -3 = -k - 1. Let b(l) = -l**4 + l**2 + l + 1. Let j(g) = k*r(g) - 14*b(g). Factor j(z).
2*z*(z + 1)**2*(4*z - 1)**2
Let m = -393 - -393. Factor -3/5*g**4 + 0*g + m*g**2 + 0 - 6/5*g**3.
-3*g**3*(g + 2)/5
Let s(c) be the third derivative of c**6/1080 + c**5/180 + c**4/72 - 2*c**3/3 + 2*c**2. Let f(x) be the first derivative of s(x). Factor f(q).
(q + 1)**2/3
Let w(n) be the third derivative of n**7/315 + n**6/180 - n**5/30 - n**4/36 + 2*n**3/9 - 7*n**2. Factor w(l).
2*(l - 1)**2*(l + 1)*(l + 2)/3
Let g(w) be the third derivative of -w**6/12 + 7*w**5/12 - 35*w**4/24 + 5*w**3/3 - 62*w**2. Let g(l) = 0. Calculate l.
1/2, 1, 2
Suppose c = -3*l - 11, -3*l - 13 = 4*c - 5. Let b be 6*(-3)/24 + c. Factor b*i + 0 + 1/4*i**2.
i*(i + 1)/4
Let v = 165 + -1979/12. Let o(a) be the third derivative of -1/3*a**4 + 2/3*a**3 + v*a**5 + 0*a - 1/120*a**6 + 0 - a**2. Determine g, given that o(g) = 0.
1, 2
Suppose -86*c = -77*c - 1620. Factor -300*g**2 - 36 + 500/3*g**3 + c*g.
4*(5*g - 3)**3/3
Factor 6*x**2 - 13*x + 6*x**3 - 7*x**4 + 5*x + 2*x**5 - x**4 + 2*x**2.
2*x*(x - 2)**2*(x - 1)*(x + 1)
Let s = -62 - -64. Factor -4/5 - 2/5*t**s + 6/5*t.
-2*(t - 2)*(t - 1)/5
Suppose 0 = -5*k + 4*v - 9*v + 10, -k - 10 = -3*v. Let s be (-2 + (3 - k))/1. Factor -2*b + 1/2 - 1/2*b**s + 2*b**3.
(b - 1)*(b + 1)*(4*b - 1)/2
Suppose -5*o + 3 = -2*o, 29 = 3*x + 5*o. Suppose 2*d + 2*d - x = 0. Factor -3*n**4 - 2*n**3 - n**d - 4*n**5 + 3*n**2 + 3*n**5 + 3*n + 1.
-(n - 1)*(n + 1)**4
Let w(t) be the third derivative of t**8/5040 + t**7/2520 - t**6/1080 - t**5/360 + t**3/6 + 2*t**2. Let g(i) be the first derivative of w(i). Factor g(s).
s*(s - 1)*(s + 1)**2/3
Let q(n) be the first derivative of -4*n**6/33 - 6*n**5/55 + 29*n**4/22 - 2*n**3/11 - 25*n**2/11 + 12*n/11 - 53. Suppose q(y) = 0. What is y?
-3, -1, 1/4, 1, 2
Let f(d) be the third derivative of 2*d**7/105 - 3*d**6/40 + d**5/10 - d**4/24 - 2*d**2. Suppose f(z) = 0. What is z?
0, 1/4, 1
Suppose 6/5*s**2 + 0*s + 3*s**3 + 0 = 0. What is s?
-2/5, 0
Find f, given that -34*f**2 - f**3 + 142*f - 128 + 3*f**3 + 18*f = 0.
1, 8
Suppose -12 = -6*b + 3*b. Let u = 227 - 227. Factor -1/4*z**2 - 1/4*z**b + 1/2*z**3 + u*z + 0.
-z**2*(z - 1)**2/4
Suppose 2*u**2 + u**2 + 9*u - 25 + 25 = 0. What is u?
-3, 0
Let n be -65 - -66 - (1 + 1 - 1). Factor -2/9*b**4 + 4/9*b**2 + n*b + 2/9*b**3 + 0.
-2*b**2*(b - 2)*(b + 1)/9
Let w be ((-24)/140)/(2/(-14) - 0). What is m in 2/5*m + 2/5*m**4 + 6/5*m**3 + 0 + w*m**2 = 0?
-1, 0
Let a(g) = -2 + 14*g + 4 - 4*g - 12*g**2. Let p be -5*(-12)/(-10)*(-8)/16. Let l(o) = o**2 - o. Let b(m) = p*a(m) + 15*l(m). Suppose b(u) = 0. Calculate u.
-2/7, 1
Let i(a) = -a**3 + 4*a**2 + 22*a - 5. Let y be i(7). Factor -1/6*z**y + 0 - 1/6*z.
-z*(z + 1)/6
Suppose -2*g = 5*g - 21. Let r(o) be the second derivative of -1/8*o**g + 0 + 3*o + 1/16*o**4 - 1/80*o**5 + 1/8*o**2. Factor r(t).
-(t - 1)**3/4
Let o(n) be the third derivative of -1/4*n**4 + 0 - 5*n**2 - 3/40*n**5 - 1/4*n**3 + 0*n. Factor o(y).
-3*(y + 1)*(3*y + 1)/2
Let k(q) be the first derivative of -q**5/15 + q**4/24 + 3*q**2/2 + 3. Let j(b) be the second derivative of k(b). Determine u so that j(u) = 0.
0, 1/4
Let n(h) be the second derivative of -h**5/90 + h**4/54 + h**3/27 - h**2/9 - 6*h. Suppose n(i) = 0. What is i?
-1, 1
Let p = -48 - -48. Let s(d) be the first derivative of 0*d**3 + 1/10*d**4 + p*d - 1 - 1/5*d**2. Let s(m) = 0. Calculate m.
-1, 0, 1
Let i(b) be the first derivative of 32/25*b**5 - 7/15*b**6 - 11/10*b**4 - 3 + 4/15*b**3 + 0*b + 0*b**2. Determine g so that i(g) = 0.
0, 2/7, 1
Let -6/5*m**4 + 4/5*m + 6/5*m**2 + 0 - 2/5*m**3 - 2/5*m**5 = 0. What is m?
-2, -1, 0, 1
What is z in -63*z**2 - 324*z - 318*z**2 - 1400*z**2 - 2187*z**3 + 323*z**2 - 24 = 0?
-2/9
Suppose 2*p = -3*p. Let i(m) = -m**3 + 5*m**2 + 5. Let a be i(5). Let 0*z - 2*z + p*z - 4*z**2 + a*z**2 + 1 = 0. What is z?
1
Let g = 204 - 200. Solve 0*v + 1/2*v**g + 0*v**2 + 0 + 1/2*v**3 = 0 for v.
-1, 0
Factor r**2 - 1/4*r**4 - 1/8*r**5 + 1/4 + 1/4*r**3 + 7/8*r.
-(r - 2)*(r + 1)**4/8
Solve -3*a**2 + 16*a - 334 + 5*a**2 + 334 = 0.
-8, 0
Factor 0*h - 1/2*h**3 + 0 + h**2 - 1/2*h**4.
-h**2*(h - 1)*(h + 2)/2
Let l(p) be the third derivative of -p**8/168 - p**7/35 - p**6/60 + p**5/10 + p**4/6 + 5*p**2. Let l(d) = 0. What is d?
-2, -1, 0, 1
Let f(v) be the second derivative of -1/60*v**4 - 2*v - 1/100*v**5 + 1/10*v**2 + 0 + 1/30*v**3. Factor f(d).
-(d - 1)*(d + 1)**2/5
Let y(z) be the second derivative of -3/8*z**4 - 1/3*z**3 + 0 - 1/5*z**5 - 2*z - 1/30*z**6 - z**2. Let n(p) be the first derivative of y(p). Factor n(c).
-(c + 2)*(2*c + 1)**2
Suppose 9*x**3 - 9*x**2 + 3*x + 52 - 2*x**4 - 52 - x**4 = 0. What is x?
0, 1
Let n(l) be the third derivative of l**5/210 - l**4/84 - 6*l**2. Let n(j) = 0. What is j?
0, 1
Let u(m) be the third derivative of m**8/336 + m**7/105 + m**6/120 - 6*m**2. Suppose u(g) = 0. What is g?
-1, 0
Let w(u) = u**5 + 13*u**4 + 14*u**3 + 9*u**2 + 16*u + 9. Let x(i) = i**5 + 12*i**4 + 14*i**3 + 10*i**2 + 15*i + 8. Let n(j) = 6*w(j) - 7*x(j). Factor n(r).
-(r + 1)**4*(r + 2)
What is u in 4/5*u**4 + 48/5*u - 12/5*u**3 - 32/5 - 8/5* | {
"pile_set_name": "DM Mathematics"
} |
alculate the remainder when 3764 is divided by 1434.
896
What is the remainder when 118628 is divided by 441?
440
What is the remainder when 25016165 is divided by 753?
752
What is the remainder when 4719 is divided by 27?
21
Calculate the remainder when 885139 is divided by 27.
25
Calculate the remainder when 38247 is divided by 153.
150
Calculate the remainder when 114910 is divided by 144.
142
What is the remainder when 2547415 is divided by 263?
260
Calculate the remainder when 35226 is divided by 132.
114
Calculate the remainder when 12925 is divided by 31.
29
Calculate the remainder when 152577 is divided by 7.
5
Calculate the remainder when 42916 is divided by 29.
25
Calculate the remainder when 124868 is divided by 5.
3
Calculate the remainder when 1338399 is divided by 97.
90
What is the remainder when 6120 is divided by 226?
18
What is the remainder when 5426 is divided by 151?
141
Calculate the remainder when 74079 is divided by 17.
10
Calculate the remainder when 4504 is divided by 621.
157
What is the remainder when 3685 is divided by 614?
1
What is the remainder when 13287 is divided by 13265?
22
Calculate the remainder when 6111 is divided by 16.
15
Calculate the remainder when 10714 is divided by 3565.
19
Calculate the remainder when 166 is divided by 145.
21
Calculate the remainder when 82992 is divided by 238.
168
What is the remainder when 20234 is divided by 9692?
850
What is the remainder when 3660 is divided by 419?
308
What is the remainder when 23176 is divided by 3308?
20
Calculate the remainder when 3279 is divided by 100.
79
Calculate the remainder when 132100 is divided by 96.
4
What is the remainder when 65998 is divided by 60?
58
Calculate the remainder when 15721 is divided by 326.
73
Calculate the remainder when 414 is divided by 57.
15
What is the remainder when 232619 is divided by 15?
14
Calculate the remainder when 8345 is divided by 596.
1
What is the remainder when 3530 is divided by 17?
11
What is the remainder when 16369 is divided by 1240?
249
What is the remainder when 14734 is divided by 17?
12
What is the remainder when 54428 is divided by 285?
278
What is the remainder when 1576077 is divided by 9?
6
Calculate the remainder when 2605432 is divided by 51.
46
What is the remainder when 20173 is divided by 16?
13
Calculate the remainder when 14824 is divided by 309.
301
What is the remainder when 8269 is divided by 637?
625
Calculate the remainder when 9305 is divided by 774.
17
What is the remainder when 1764 is divided by 442?
438
Calculate the remainder when 1281183 is divided by 1962.
1959
Calculate the remainder when 4959 is divided by 84.
3
Calculate the remainder when 1788 is divided by 1092.
696
Calculate the remainder when 90173 is divided by 60.
53
What is the remainder when 81918 is divided by 59?
26
Calculate the remainder when 53385 is divided by 10644.
165
Calculate the remainder when 92020 is divided by 46004.
12
What is the remainder when 864227 is divided by 4135?
12
Calculate the remainder when 22514 is divided by 16.
2
Calculate the remainder when 1086 is divided by 137.
127
What is the remainder when 26482 is divided by 12?
10
Calculate the remainder when 5910 is divided by 81.
78
What is the remainder when 3092 is divided by 1017?
41
What is the remainder when 12232 is divided by 119?
94
Calculate the remainder when 400726 is divided by 917.
914
What is the remainder when 22948 is divided by 1518?
178
What is the remainder when 75778 is divided by 110?
98
Calculate the remainder when 6555 is divided by 3255.
45
What is the remainder when 21270 is divided by 69?
18
Calculate the remainder when 35207 is divided by 291.
287
What is the remainder when 5595 is divided by 155?
15
Calculate the remainder when 8609 is divided by 4.
1
What is the remainder when 14375 is divided by 802?
741
What is the remainder when 11893 is divided by 28?
21
What is the remainder when 512 is divided by 128?
0
Calculate the remainder when 43419 is divided by 22.
13
What is the remainder when 149982 is divided by 208?
14
What is the remainder when 12503 is divided by 657?
20
What is the remainder when 37228 is divided by 189?
184
Calculate the remainder when 51453 is divided by 64.
61
What is the remainder when 98022 is divided by 39?
15
Calculate the remainder when 864 is divided by 82.
44
Calculate the remainder when 2270 is divided by 279.
38
What is the remainder when 5420 is divided by 67?
60
What is the remainder when 2734 is divided by 73?
33
What is the remainder when 414556 is divided by 136?
28
Calculate the remainder when 85888 is divided by 11.
0
What is the remainder when 12499 is divided by 125?
124
Calculate the remainder when 2332 is divided by 579.
16
Calculate the remainder when 127445 is divided by 89.
86
What is the remainder when 500189 is divided by 200?
189
What is the remainder when 1885 is divided by 917?
51
Calculate the remainder when 16557 is divided by 2056.
109
Calculate the remainder when 31104 is divided by 3104.
64
Calculate the remainder when 725689 is divided by 2.
1
Calculate the remainder when 44045 is divided by 124.
25
What is the remainder when 4348 is divided by 47?
24
Calculate the remainder when 133503 is divided by 133500.
3
Calculate the remainder when 5290 is divided by 45.
25
Calculate the remainder when 32443 is divided by 309.
307
Calculate the remainder when 2352 is divided by 2085.
267
What is the remainder when 20067 is divided by 527?
41
Calculate the remainder when 511127 is divided by 24.
23
Calculate the remainder when 4899 is divided by 45.
39
What is the remainder when 17012 is divided by 45?
2
Calculate the remainder when 196481 is divided by 286.
285
What is the remainder when 32072 is divided by 401?
393
Calculate the remainder when 105783 is divided by 136.
111
What is the remainder when 520673 is divided by 514?
505
What is the remainder when 3389 is divided by 660?
89
Calculate the remainder when 19063 is divided by 9292.
479
Calculate the remainder when 108908 is divided by 767.
761
Calculate the remainder when 73929 is divided by 12.
9
What is the remainder when 1539 is divided by 1448?
91
What is the remainder when 41189 is divided by 7?
1
What is the remainder when 18731 is divided by 226?
199
Calculate the remainder when 379911 is divided by 3114.
3
What is the remainder when 1592 is divided by 35?
17
What is the remainder when 43580 is divided by 8688?
140
Calculate the remainder when 797 is divided by 20.
17
What is the remainder when 2129885 is divided by 62?
61
What is the remainder when 9619 is divided by 72?
43
What is the remainder when 37064 is divided by 170?
4
Calculate the remainder when 31631 is divided by 8.
7
What is the remainder when 10478 is divided by 10476?
2
What is the remainder when 15511 is divided by 1550?
11
Calculate the remainder when 1140 is divided by 545.
50
Calculate the remainder when 11044 is divided by 47.
46
What is the remainder when 2908 is divided by 152?
20
Calculate the remainder when 484 is divided by 128.
100
Calculate the remainder when 228084 is divided by 57019.
8
Calculate the remainder when 13917 is divided by 1986.
15
What is the remainder when 28383 is divided by 267?
81
Calculate the remainder when 21568 is divided by 7187.
7
What is the remainder when 482427 is divided by 4873?
0
Calculate the remainder when 30793 is divided by 154.
147
Calculate the remainder when 10915 is divided by 232.
11
Calculate the remainder when 2671 is divided by 787.
310
Calculate the remainder when 14757 is divided by 4.
1
Calculate the remainder when 2252 is divided by 108.
92
Calculate the remainder when 993451 is divided by 601.
599
What is the remainder when 6033 is divided by 850?
83
Calculate the remainder when 3614 is divided by 1012.
578
Calculate the remainder when 32608 is divided by 323.
308
Calculate the remainder when 5256 is divided by 5027.
229
What is the remainder when 1397 is divided by 686?
25
Calculate the remainder when 15676 is divided by 5222.
10
Calculate the remainder when 69260 is divided by 37.
33
Calculate the remainder when 185913 is divided by 92942.
29
Calculate the remainder when 4627 is divided by 190.
67
What is the remainder when 10509 is divided by 320?
269
What is the re | {
"pile_set_name": "DM Mathematics"
} |
= 15889/1254 + -569/38. Let c = -289210/21 + 13775. Find the common denominator of t and c.
231
Let o = -13665821/132 + 103528. What is the common denominator of o and -89/638?
3828
Suppose -240 = -25*m + 5*m. What is the common denominator of -159*(-1*10/m + 1) and -33/140?
140
Let t(w) be the first derivative of -71*w**2/2 - 432*w - 225. What is the smallest common multiple of 40 and t(-7)?
520
Find the common denominator of 28/3 and 7780/660 + -2 + -8.
33
Let z(v) = 8*v**2 - v + 1. Let k(h) = h**3 + 29*h**2 + 28*h + 4. Suppose 21*w + 756 = -6*w. What is the smallest common multiple of k(w) and z(1)?
8
Suppose -6*g + 3*g + 5*x - 4679 = 0, 0 = -x - 2. Let p = g - -2603. Calculate the least common multiple of 22 and p.
11440
Let z(t) = 6*t**2 - 25*t - 138. Let f be z(-5). Suppose 2*x + 3*d = 107, 4*x - 3*d - 32 = f. Calculate the smallest common multiple of 24 and x.
552
Let u be -3 + 2 + 3 + 0/(-1). Suppose -7*h = -8*h - u. What is the least common multiple of 3 and (-3 - -5)*h*1/(-2)?
6
Let n(s) be the second derivative of 7*s**3/6 + 63*s**2/2 + 2*s + 8. Calculate the least common multiple of 8 and n(-8).
56
Suppose -2*a + m = -971, 0 = 6*a - 4*a - 3*m - 961. What is the smallest common multiple of 305 and a?
2440
Let q = 7285/1154729 + -96002392281/9053075360. Let t = q - 3/1568. Calculate the common denominator of -11/27 and t.
135
Find the common denominator of -7/11 and (-90)/(-87)*301/3268.
12122
Let a = 2374 + -2351. Let f be 546/12 - (-2)/(-4). Suppose i - 6*i = -f. Calculate the smallest common multiple of i and a.
207
Suppose -q = v + v - 26, 4*v = -5*q + 106. Suppose -10*f = -730 - 290. Calculate the smallest common multiple of f and q.
306
Let h = 26/39433 + -1222683/394330. Let x(a) = -25*a**3 + 3*a**2 + a. Let q be x(-2). Let y = q + -4231/20. Calculate the common denominator of h and y.
20
Suppose -q + 4*v = 1297, 4*q - 2*v - v + 5149 = 0. Let c = 41063/32 + q. Find the common denominator of c and -17/12.
96
Let u be (-2)/(-8) + (-4 - 9965/(-880)). Let a = u + -63/16. Find the common denominator of (-1111)/44*(-2)/3 and a.
66
Suppose 0 = -9*x + 42 + 120. Let a(w) = 2*w**2 - 30*w - 61. Calculate the lowest common multiple of a(x) and 5.
235
Suppose 2*h - 15 = -3*x, 140*h = 135*h - 2*x + 32. What is the least common multiple of h and 735?
1470
Let o(l) = 65*l - 390. Let x be o(6). Let u = 80 + -44. What is the common denominator of x + 702/220 - u/(-90) and -101/12?
132
Suppose 2*y - 4*d + 2*d - 10 = 0, 2 = 4*y + 5*d. Suppose -y*t - 99 = -6*t. What is the smallest common multiple of (10/(-8))/(2/(-48)) and t?
330
What is the common denominator of ((-358)/4)/((-264132)/(-5808)) + 2 and 10/203?
14007
Let g be 87/87 + 2835/(-2). Let s = 11259/8 + g. Calculate the common denominator of (-1)/((-6)/(-89))*-3 and s.
8
Let c(f) = 136*f**2 + 4*f + 7. Let m be c(-12). Let q = m + -18937165/969. Let x = q - -35821/15504. Find the common denominator of 119/10 and x.
80
Suppose g + 16 = -2*p - 0, -5*g - p = 44. What is the least common multiple of 46 and ((-34)/40 - (-24)/(-60))*g?
230
Let v = -202 - -327. Let r = v + 8. Let h = r - 113. Calculate the least common multiple of 4 and h.
20
Let r be (2 + 28/(-12))/((-2)/3804). Suppose r = l + g, -4*l - 5*g + 1075 = -1463. Find the common denominator of -31/33 and ((-6)/(-24))/(66/l).
33
Let z(s) = -26*s + 638. Calculate the lowest common multiple of 6 and z(16).
222
Let t be ((-9208456)/576)/((-4)/(-6)). Let s(x) = 23*x - 23982. Let j be s(0). Let r = j - t. Find the common denominator of 19/3 and r.
48
Suppose 2507 = 15*t + 17. Let x = t - 150. Calculate the least common multiple of 50 and x.
400
Calculate the common denominator of 9/10 and ((-6)/216)/((-438)/(-693) - (-70)/(-245)).
960
Let b = -7355 - -9419. What is the lowest common multiple of b and 18?
6192
Suppose 86*w = -122616 + 527504. What is the lowest common multiple of 749 and w?
32956
Let u = 56188141/1180 + -47617. Find the common denominator of u and 3/40.
2360
What is the common denominator of -73/110 and (-109)/(-1144) - (-224)/(-1232)?
5720
Let m(b) = -41*b**2 - 355*b + 21. What is the least common multiple of m(-8) and 632?
1896
Let t be (-2 - -2205)*134/36. Let z(y) = y**2 - 500*y - 48. Let g be z(-16). Let m = t - g. Calculate the common denominator of m and -25/8.
72
Let t = 13535 + -13529. Calculate the lowest common multiple of t and 8560.
25680
Suppose -l = 6*i - 66, -l = -2*i + 4 - 70. Calculate the least common multiple of 108 and l.
1188
Find the common denominator of -109/14 and ((-4)/(-2)*-1)/((-181440)/(-5022)).
560
Let n be ((-315)/42)/((-9)/(-6)). Calculate the smallest common multiple of 18*-4*n/10 and 126.
252
Let x = 337 - 1361/4. Let a be (1 - (-20)/(-22))*4/(-7). Let z = 57/385 - a. What is the common denominator of x and z?
20
Let l(r) = -2*r**2 + 76*r - 204. What is the least common multiple of 70 and l(31)?
1610
Calculate the smallest common multiple of 44 and -10*(66/8)/((-1845)/984).
44
Find the common denominator of -59/1650 and 11 + -303*5/135 + 152/1350.
14850
Let t be (-950)/(-14) - (-12)/(-84)*-1. What is the common denominator of -47/32 and (3 - 3)/(-2) + 833/t?
32
Let v(a) = -1270*a**3 - 2*a**2 + 2*a + 3. Let l be v(-1). Let k = l - 111665/88. Find the common denominator of 43/40 and k.
440
Suppose 0 = 3*n - 5*s - 66, n - 3*n + 2*s = -36. Calculate the smallest common multiple of 586 and n.
3516
Let u be ((-54)/2)/((-24)/(-24)). Let k = u + 34. Let y(b) = 3*b + 85. Calculate the lowest common multiple of k and y(-27).
28
Suppose d - 12 - 31 = 0. Suppose -2*n - u = -d, 0 = -2*n - u - u + 42. Calculate the least common multiple of (-15)/(-1)*56/35 and n.
264
Let k be (8/32100)/((-4)/(-2)). Let y = k - 264853/224700. Let f = -7354/11 - -670. What is the common denominator of y and f?
308
Let u(r) = -r**2 - 13*r - 8. Let a be u(-11). Let t be 21/a*20/3363. Let m = t + 72725/15694. What is the common denominator of 27/2 and m?
14
Let y be (66/(-55))/((-4)/(-5))*-22. Suppose -u - 13 + y = 0. What is the least common multiple of 464 and u?
2320
Calculate the common denominator of (-9 - 23731/(-3534)) + 3 and -31/2.
186
Suppose -20*b - 1 = -23*b + 5*c, -5*c + 2 = -4*b. Calculate the lowest common multiple of (-26)/(-208) - b/24*4271 and 20.
5340
Let u = 33472525/306 + -109387. Find the common denominator of u and 77/204.
612
Let y = -3647 - -32872/9. Find the common denominator of y and (268/60)/(27/15).
27
Let h = 149 - 109. Let s = 23 - 18. Calculate the smallest common multiple of h and s.
40
Let p = -101 - -13. Let v = 94 + p. Let f(b) = b + 5. Calculate the smallest common multiple of f(v) and 5.
55
Calculate the common denominator of 82/6525 and (-19)/76*5 - (0 - 40052/32400).
58725
Let m be 3/(-78)*(-52085)/165. Let b = -31885/13 - -2451. Let q = b - m. What is the common denominator of -77/54 and q?
54
Suppose -2*r + t = 5555, 2*t = 5*r - 2*t + 13880. Let v = r - -58462/21. Find the common denominator of v and (-1)/27 - 2 - 0.
189
What is the common denominator of 26600/77616 - (-2)/28 and 101/1540?
13860
Let l = 498325549/280420 + -62197/35. Calculate the common denominator of l and 23/4.
8012
Let q = -220 - -176. What is the common denominator of (2466/(-12))/(-1 + -17) and ((-30)/(-9))/(q/(-12))?
132
Let q(i) = 4*i + 56. Let v be q(-12). What is the common denominator of 302/12 + 2 - 2 and (230/v + -1)/((-35)/14)?
30
Let f be ((-1848)/(-105870))/7*(-13138)/148. Let w = 20/3529 - f. Find the common denominator of 67/45 and w.
1665
Let j = -10 + 29/2. Let r = -46/641 + 57055/17948. What is the common denominator of r and j?
28
Let r be 2/8 + 254/8. Suppose -r*a + 1112 = -30*a. What is the common denominator of 31/40 and (-3 - a/24) + -1 + 2?
120
Suppose 14*i = -23 + 65. Suppose m - 4*a + 13 = 65, 0 = -i*m + 4*a + 124. Calculate the smallest common multiple of m and 18.
36
Suppose x = 2*x - 177. Let n = 1179121/170890 - -2/17089. What is the common denominator of n and 1*(x/(-12) + 3)?
20
Suppose -5*q + z - 3*z = 35, -15 = 3*z. Calculate the lowest common multiple of 100 and (-3 + 9 + 0)*(-4 - q).
300
Let g = 575 - 996. Let d = -238 + g. Let o = 3258/5 + d. What is the common denominator of -19/10 and o?
10
Suppose -l - 386 = -q, 2*q + 162*l - 165*l = 774. What is the smallest common multi | {
"pile_set_name": "DM Mathematics"
} |
) 1/3 (b) 973046/5 (c) -2 (d) 0.3
b
What is the third biggest value in 18, 47.8, -5, 55.8?
18
What is the third smallest value in 1/4, 59651, -74.6?
59651
Which is the fifth smallest value? (a) 5/4 (b) 1/5 (c) -2/3 (d) -3029 (e) 116
e
Which is the second smallest value? (a) -0.04 (b) 4 (c) -0.1 (d) -5 (e) -15.1 (f) -1
d
Which is the fifth smallest value? (a) 87/143 (b) 0 (c) 2.4 (d) -7 (e) 0.5
c
What is the smallest value in 1/2, 6526328, 55?
1/2
What is the biggest value in 2/7, 6858, 1/6, -146/3, 2/3, 0.2?
6858
Which is the third biggest value? (a) 0.3 (b) 37742 (c) 0.03
c
Which is the biggest value? (a) 1 (b) -1/150 (c) -2/1235 (d) -834
a
Which is the biggest value? (a) 2/17 (b) 212962/61 (c) 3 (d) -3 (e) -2/19 (f) -2
b
Which is the smallest value? (a) 0.3 (b) -1 (c) 163321 (d) 139
b
What is the second smallest value in 5, 3/4, -0.4, -4, 43, -11, -12838?
-11
What is the smallest value in 0.2, 5.1, 4/22807, 0.4, 4?
4/22807
Which is the second smallest value? (a) -1489 (b) -994 (c) -2/9
b
What is the seventh biggest value in 3, 2.4, -2, 0, 0.4, -3, -1/74?
-3
Which is the second smallest value? (a) 1 (b) -3.9 (c) 3 (d) 0.2 (e) -0.1 (f) 6/5
e
What is the second smallest value in -2/3, -21, -0.3, 1689, 2/3, -1?
-1
Which is the third biggest value? (a) -0.12 (b) -3/8 (c) -15187
c
What is the third biggest value in 2/11, -1.1, 0.05, 97, -5, -0.8?
0.05
Which is the fourth biggest value? (a) -19 (b) -8/5 (c) -2/9 (d) -24 (e) -0.4 (f) 0.1 (g) -2
b
Which is the fifth biggest value? (a) -9 (b) -1 (c) 2/31 (d) 0.1 (e) 0.01 (f) 6
b
Which is the fourth smallest value? (a) -3451 (b) -3 (c) -14 (d) -5/23
d
What is the biggest value in -1/4, 1001.1, 3.5?
1001.1
What is the smallest value in 1/4, -0.4, 0.954, 15, -511?
-511
What is the second biggest value in 107, -25, -1, 0.218?
0.218
Which is the biggest value? (a) -1/5 (b) 1/3 (c) -39 (d) -175989
b
Which is the fourth smallest value? (a) -4 (b) -347 (c) 0.77 (d) 0.001 (e) 5
c
Which is the third smallest value? (a) -20 (b) -2 (c) -6/9293 (d) 0.5
c
Which is the smallest value? (a) -2.3 (b) 1.9 (c) 2/442255
a
Which is the biggest value? (a) 1/12 (b) 17452 (c) 17 (d) -2
b
What is the fifth smallest value in -1, -1/5, -2/15, -111/38, 1/3, 4, 21?
1/3
Which is the second biggest value? (a) -0.3 (b) 0.18 (c) -18/13 (d) 0.4 (e) -5 (f) 6 (g) -246
d
Which is the fifth biggest value? (a) -0.083 (b) -0.36 (c) 0.03 (d) -2/5 (e) 1/8 (f) 2 (g) -2
b
Which is the second smallest value? (a) -2 (b) -4 (c) -8 (d) 0.4 (e) 1.414 (f) 3/61 (g) -1/7
b
Which is the third smallest value? (a) -0.2 (b) 1/4 (c) -2 (d) 4466378
b
What is the third biggest value in -2/13, -3, 100.7, 1450, 0.2, 2?
2
What is the third biggest value in -14/109, -8, -5, -30, -6?
-6
What is the second biggest value in 3, -0.06, -3/16, -4, 46, 1/3?
3
Which is the third smallest value? (a) 8 (b) 1 (c) -6 (d) -3/14 (e) -535 (f) 5
d
Which is the second biggest value? (a) -0.4 (b) -3/26 (c) 438.146
b
What is the third biggest value in -56496, 421, 3?
-56496
Which is the third smallest value? (a) -14/367 (b) -0.0918 (c) 1 (d) -41/4
a
Which is the fourth biggest value? (a) 4/5 (b) 32 (c) -0.4 (d) 8 (e) -1 (f) 6.1 (g) -1.1
a
What is the fifth smallest value in 0.2, -5, -1, -1/2, 0.029, 0.1, 677?
0.1
Which is the third biggest value? (a) -0.4 (b) 166671 (c) -2/61
a
What is the fourth smallest value in -77, -4/7, -2/9, 1, 4?
1
What is the smallest value in 0, -6, 3/8, 0.011, -168, 10, -0.02?
-168
Which is the second smallest value? (a) -64895 (b) 2/5 (c) -8/7
c
Which is the second biggest value? (a) 29 (b) 4 (c) 154 (d) -217
a
Which is the third smallest value? (a) -6763 (b) 342 (c) 2
b
Which is the second biggest value? (a) -2/5 (b) 0 (c) 289 (d) 0.3 (e) -17/6 (f) -24
d
Which is the biggest value? (a) -2 (b) 51 (c) -2/1347
b
What is the biggest value in -3, -0.1595, 3397/4, -1/6?
3397/4
Which is the fifth biggest value? (a) -3/4 (b) -4 (c) 0.537 (d) -5 (e) -7.5 (f) -0.2
d
Which is the third smallest value? (a) -2/3 (b) 3/5 (c) 3472 (d) 0 (e) 0.3
e
What is the smallest value in 111, 2/3, -3, 1, -0.4, -11/4, 15?
-3
What is the fourth biggest value in -2/11, -6735, -3/4, 1/7, 0.19?
-3/4
Which is the fourth smallest value? (a) -0.041 (b) 4.256 (c) -0.1 (d) -3
b
Which is the fourth biggest value? (a) 4/5 (b) 0 (c) 2 (d) 68/7 (e) 3 (f) -36
a
Which is the smallest value? (a) -5/3 (b) -0.104 (c) 69/14 (d) 5 (e) 0.4 (f) 26
a
What is the third smallest value in 0, 3/1088, -6/23, 4?
3/1088
What is the biggest value in 15, 6.6, 2, -1/6, -3/2, -2?
15
Which is the seventh biggest value? (a) -3/8 (b) 0 (c) 2/3 (d) -2/9 (e) -0.1 (f) 18 (g) 2/15
a
Which is the third biggest value? (a) 2/273 (b) 34.1 (c) -0.618
c
What is the third biggest value in -0.47008, -2/13, 0.1, 0.0025?
-2/13
Which is the fifth smallest value? (a) -1/3 (b) 3/8 (c) -463 (d) -6 (e) -1 (f) -1.1 (g) -2/25
a
Which is the third smallest value? (a) -0.5 (b) 56632 (c) 11 (d) 5
c
Which is the second biggest value? (a) -2/37 (b) 2/7 (c) 5 (d) -2/19 (e) 0.3 (f) -2/7 (g) 4
g
What is the biggest value in 1/6, -4.429, -1/6, 3/2, 1?
3/2
Which is the second biggest value? (a) -373 (b) -2062 (c) -1
a
Which is the second smallest value? (a) -2.4987279 (b) -14 (c) 4/5
a
What is the fourth biggest value in 5/212, 2, -0.2, 0, -0.3, -61?
-0.2
Which is the smallest value? (a) -4 (b) -5 (c) -0.2 (d) -5.98 (e) 0.19 (f) -16
f
Which is the third biggest value? (a) -5032 (b) 979 (c) -4 (d) -1/2
c
Which is the smallest value? (a) -6 (b) -0.03 (c) -1726 (d) 0
c
Which is the second biggest value? (a) 2 (b) -0.51 (c) 0.9 (d) 4 (e) 67.7
d
Which is the fifth biggest value? (a) 6223 (b) 2/103 (c) -4 (d) 2/13 (e) -6
e
What is the third smallest value in 1/8, -0.2161, 0.2044?
0.2044
Which is the smallest value? (a) 2151 (b) -49 (c) -25
b
What is the third smallest value in -1.9231, 0.3, -0.5, -2/105, -0.1, -1, 2/7?
-0.5
What is the second biggest value in 0, 225, 1600?
225
What is the smallest value in 41101, -66, -32/5?
-66
Which is the second smallest value? (a) 0.3 (b) -51756/5 (c) -2.75
c
What is the second smallest value in 2/9, -8, 44978, -4, 0.1?
-4
What is the fourth smallest value in 3.6, -0.1, -161404, 3?
3.6
Which is the third biggest value? (a) -4 (b) -8480 (c) -20 (d) 1.6
c
Which is the fifth smallest value? (a) 5 (b) 79 (c) -12 (d) -13 (e) -1 (f) -1/10
a
Which is the third biggest value? (a) -2/9 (b) 0.028212 (c) 3.4 (d) -1/12
d
What is the fourth biggest value in -3213, -17, 2/7, 1/3, 2?
-17
Which is the third biggest value? (a) -9 (b) -2 (c) 4/17 (d) 2023 (e) -1
e
What is the third smallest value in 1, -2/7, -81, 0.035, -1/6, -3, 0.064?
-2/7
What is the fifth smallest value in 2, -3, 439, 7, -7?
439
What is the smallest value in 6530, -693, -4?
-693
Which is the fifth biggest value? (a) 0 (b) -3 (c) 0.3 (d) 0.16 (e) 866 (f) 2
a
What is the third biggest value in 22/47, -41.46, 23?
-41.46
Which is the smallest value? (a) 1149459 (b) 3/7 (c) 8/7
b
Which is the second smallest value? (a) -11/24259 (b) 3/10 (c) 4
b
Which is the fifth smallest value? (a) -32 (b) -0.26 (c) -1/3 (d) 2/2253 (e) -4
d
Which is the smallest value? (a) 0.4 (b) 6 (c) 50.63 (d) -3 (e) -6 (f) 4 (g) -0.3
e
Which is the sixth smallest value? (a) 26 (b) -0.01 (c) -5 (d) -0.002 (e) -3 (f) -0.1 (g) 2
g
What is the biggest value in -3, 44/7, 23, -0.0922?
23
Which is the fifth biggest value? (a) 7 (b) 1 (c) 3 (d) 0.2 (e) 55/361 (f) 0.01
e
What is the third smallest value in -2/9, 2/19, -32832116?
2/19
Which is the sixth smallest value? (a) 31 (b) 1/8 (c) -2/63 (d) -2/11 (e) 2 (f) 0.051
a
Which is the smallest value? (a) -0.6 (b) -0.4 (c) 1 (d) 0.2 (e) -6/5 (f) 495
e
What is the smallest value in -3, 2, 0.01, -8.4, -0.1, -1, 3?
-8.4
Which is the third biggest value? (a) -10 (b) 3/4 (c) -4973 (d) -19
d
What is the second smallest value in 4, 0.6, 1/4, -47.2, 0, -0.3?
-0.3
Which is the third biggest value? (a) 3 (b) -1.15 (c) -1/7 (d) -7.6 (e) 4 (f) -75
c
| {
"pile_set_name": "DM Mathematics"
} |
usand?
50000
Let r be -2 + 15 + -7 + -74906. Round r to the nearest 10000.
-70000
Let l = -51 - -91. Let k = l - 5. Let b = k - 41.4. What is b rounded to the nearest integer?
-6
Suppose 5*o = 0, -b = 3*b - 2*o - 6068164. Suppose -b + 357041 = 5*d. What is d rounded to the nearest 10000?
-230000
Let r = -24 + 22.1. Let n = 23749.09968 - 23751. Let i = r - n. What is i rounded to 4 decimal places?
0.0003
Let n be 4/8 + -1 - 2177/(-2). Suppose 0 = 2*u + 4432 + n. Round u to the nearest 100.
-2800
Suppose 4*g + 4*a - 5126 = 2*g, -3*g + 2*a = -7705. Let d = 38099 + g. Suppose 4*c + 4 = 0, 2*x - 206667 = c - d. Round x to the nearest ten thousand.
80000
Let u = -0.34 + 2.29. Let z = -1.9500209 + u. Round z to six decimal places.
-0.000021
Let x = -1605.8619 - -1606. Round x to 2 dps.
0.14
Suppose 0 = -5*n + 15, 3*x + 3*n - 4*n = 6. Suppose -x*u - 2*o + 9690008 = 0, 2*o + 6460016 = 2*u + 6*o. What is u rounded to the nearest 100000?
3200000
Let y(n) be the second derivative of -n**5/20 + n**4/3 + 3*n. Let p be y(4). Suppose p*j - 3*j = 291000. What is j rounded to the nearest 10000?
-100000
Suppose -5*i + t + 216555 = -151712, 3*i + 5*t - 220949 = 0. Let m = -85347 - i. Round m to the nearest ten thousand.
-160000
Let p = 2679311682 + -2679311469.2999081. Let g = -212.7 + p. What is g rounded to five dps?
0.00009
Let y = 1.06502 - 1.4650248. Let v = -25 + 25.4. Let b = v + y. Round b to 6 dps.
-0.000005
Suppose 35612 = 55*f + 12677. What is f rounded to the nearest one hundred?
400
Let d = -402 + 1167. Let j = d - 315. Round j to the nearest one hundred.
500
Suppose 4*z = -2*j + 3840000, -5760000 = 9*j - 12*j - 2*z. Round j to the nearest 1000000.
2000000
Suppose 2*t - 2 = 2*c - 10, 0 = c - 4*t - 10. Suppose c*p = -10, -2*o + 5*o - 2*p - 37 = 0. Suppose 0 = 5*k - o*k + 7600000. Round k to the nearest one million.
2000000
Let l = -790.369 - -791. What is l rounded to two decimal places?
0.63
Let n = 94.0495911 - 94.05. Round n to five dps.
-0.00041
Suppose 4*a + 4*a + 16160 = 0. What is a rounded to the nearest one hundred?
-2000
Let o = 0.37 + -0.3699965. What is o rounded to seven dps?
0.0000035
Let p = 818.00000563 + -818. Round p to seven decimal places.
0.0000056
Let p = 2 + -6. Let v = p + 4.000308. What is v rounded to five dps?
0.00031
Suppose -3*a = 2*w - 2331008, -5*w = 3*a - 2*a - 777020. What is a rounded to the nearest 10000?
780000
Let u be (315/(-28))/15 + (-117914)/8. Round u to the nearest 1000.
-15000
Let m = 27.8 + -140.8. Let f = 113.000149 + m. Round f to five decimal places.
0.00015
Suppose 5*n = -10, b + 3*b - 3*n - 37270 = 0. Let a = -20816 + b. Round a to the nearest one thousand.
-12000
Let f = 3.29 - 0.25. Let g = 3.039757 - f. What is g rounded to 5 decimal places?
-0.00024
Let r = 17 - -140. Let b = 156.9999821 - r. What is b rounded to 6 dps?
-0.000018
Let z = 2121 + -2121.0005657. Round z to 5 decimal places.
-0.00057
Let f(g) = 18*g + 9. Let s(n) = -91*n - 44. Suppose -r = -c + 13, 2*c = -4*r - c - 38. Let d(o) = r*f(o) - 2*s(o). Let i be d(-5). Round i to the nearest ten.
70
Let h = -270 - -269.99999696. What is h rounded to 7 decimal places?
-0.000003
Suppose 2*c = -2*v - 0*v + 24, 4*c - 48 = -v. Let a be 1658/c + (-4)/24. What is a rounded to the nearest ten?
140
Let n(i) = 4386457*i + 27. Let j be n(-6). Let k = 10718715 + j. Round k to the nearest 1000000.
-16000000
Let j = 45 + -41. Suppose -w - j*l = 210012, 2*w = -3*l - l - 420012. Round w to the nearest 10000.
-210000
Let h = 9012646 + -9024661.9975. Let a = 12029 + h. Let c = a - 13. Round c to 3 dps.
0.003
Let t(g) = 57*g + 5483. Let n be t(0). Round n to the nearest one hundred.
5500
Let x = -6 + 23. Let g = -16.825 + x. Round g to two dps.
0.18
Let y = -3345 + 3345.06564. Let h = 0.064 - y. Round h to 4 decimal places.
-0.0016
Let y = -87.88 + 97. Let z = 9 - y. Let u = z - -1.32. What is u rounded to 0 dps?
1
Let k = 0.1006 - 0.08. Let j = 0.011 - k. What is j rounded to 3 decimal places?
-0.01
Suppose -4*c - 114286 = 3*i, 2*i = 11 - 15. Round c to the nearest 10000.
-30000
Let s = -73028 - -36374. Let c = -36596.098 - s. Let b = -58 + c. What is b rounded to 2 dps?
-0.1
Let n = 13161319 - 24021319. What is n rounded to the nearest one hundred thousand?
-10900000
Let j = 0.08281 - 0.042827. Let y = -8 + 8.04. Let t = y - j. Round t to five decimal places.
0.00002
Suppose 3*i + 3*n - 23682 - 30093 = 0, 0 = 5*n + 5. Suppose -5*o + 5*s - 10579 = i, 0 = 3*o - 4*s + 17104. Round o to the nearest 1000.
-6000
Suppose -g + 0*g + 5 = m, 4*g - m = -5. Suppose 6*j - 5*j = g. What is j rounded to seven dps?
0
Let h = -538.26 + 546. Round h to one dp.
7.7
Let g = 278.99999589 - 279. Round g to 6 dps.
-0.000004
Let k = 1419866 - 822166. Round k to the nearest ten thousand.
600000
Let b(q) = -90000*q**3 + 2*q - 2. Let h = -36 + 37. Let o be b(h). What is o rounded to the nearest ten thousand?
-90000
Let k = -176528523 + -112071477. What is k rounded to the nearest one million?
-289000000
Let u = 0.84 - 0.8. Let v = -0.12 - u. Let o = v + 0.36. Round o to the nearest integer.
0
Let v = -0.86 - -0.55. Let m = 295 - 295.3264. Let c = v - m. Round c to three decimal places.
0.016
Suppose 1450060 = 18*i - 14*i. Suppose -1178689 - 2511367 = -4*n - 2*g, -5*n - g + 4612573 = 0. Suppose i - n = p. Round p to the nearest 100000.
-600000
Let f = -273.1 + 271.793. Let u = -0.307 + 0.28. Let q = u - f. What is q rounded to one dp?
1.3
Let g = -46 - -5. Let d = -40.9999722 - g. What is d rounded to 6 decimal places?
0.000028
Let h = 3.3949990676 + -3.395. Round h to 7 decimal places.
-0.0000009
Let y = -10 + 25. Let n = 13.8 - y. Let o = -1.1 - n. Round o to two decimal places.
0.1
Let x = 980 - 949.72. Let i = 10 + 21. Let y = i - x. Round y to one decimal place.
0.7
Let r = 621324 + -217847. Let w = -403464.00085 + r. Let i = w - 13. Round i to four decimal places.
-0.0009
Let t = 37 + -41. Let d = 75481939 + -75481942.9999933. Let w = t - d. What is w rounded to 6 decimal places?
-0.000007
Let l = -2450.994382 + 2451. Let m = l - 0.0048. What is m rounded to 4 decimal places?
0.0008
Let d be (416/130)/((-2)/405000). Round d to the nearest one hundred thousand.
-600000
Let p = -5.05 - -5.915. What is p rounded to 1 dp?
0.9
Let p = -1749.999994842 + 1750. Round p to 7 decimal places.
0.0000052
Let x = -1 - -5. Let h(i) = 302*i**2 + 6*i - 2. Let m be h(x). Suppose 0 = 3*a - 64854 + m. Round a to the nearest 10000.
20000
Suppose 0 = -2*f - 2*u - 4, 0 = -5*f + 2*f - u - 2. Suppose f = -7*j + 21459 + 10251. Round j to the nearest 100.
4500
Let a be (12/8 + -2)*4772. Let p = a + 4246. Let l = 1200 - p. What is l rounded to the nearest one hundred?
-700
Let a = 0.0455586 - 0.04448. What is a rounded to 5 dps?
0.00108
Let s = -3645094.13895454707211 - 3.82104559292789. Let f = -3645098 - s. Let m = -0.04 - f. Round m to seven decimal places.
-0.0000001
Let o = 0.0152 + -0.0104. Round o to two dps.
0
Let y = 0.742294 - 0.741. What is y rounded to 4 decimal places?
0.0013
Let j = 7596529.000002 - 7596512. Let w = j + -17. Round w to five decimal places.
0
Let v = -0.65877825 + -435.33705175. Let t = v - -436. What is t rounded to 3 decimal places?
0.004
Let i(p) = -p**2 + 5. Let h be i(3). Let n be 4480005/h - (-95)/76. Round n to the nearest 100000.
-1100000
Let k = 2530.02316 - 2530. Round k to three dps.
0.023
Let a = -0.205 - -108.205. Let i = a + -107.856. What is i rounded to 2 decimal places?
0.14
Let g = 20.5 - -6.5. Let y = -27.48 + g. Round y to one dp.
-0.5
Let a = -0.18 + -17.82. Let w = -18.00051 - a. Round w to four dps.
-0.0005
Let l = -0.4665 + -0.2571. Round l to 2 decimal places.
-0.72
Let y = -0.14588 - 1.75442. Let q = 458 - 456.1. Let b = q + y. What is b rounded to three decimal places?
0
Suppose 6*n = 4*i + 3*n - 296000015, 2*i - 148000015 = 3*n. What is i rounded to the nearest 1000000?
74000000
Let n = 9.32 - -0.06. Round n to the nearest integer.
9
Suppose n + d + 3420 = 0, -4*n + 7*d = 2*d + 13725. Round n to the nearest 100.
-3400
Let k = 7.53 + -7.52998757. What is k rounded to 5 dps?
0.00001
Let f = 190.7998896 + -190.8. Round f to 4 decimal places.
-0.0001
Let u = 0.77 + 59.23. Let x = -30 + u. Let c = x + -30.84. Round c to one dp.
-0.8
Let k = 57.5 - 397 | {
"pile_set_name": "DM Mathematics"
} |
-5
Solve -4*g + 5*m - 15 = 0, m = 5*g - 26 + 50 for g.
-5
Solve y + 2 = -5*a - 5, y = -2*a - 1 for y.
3
Solve -20*f + 12 = -o - 17*f, 5*o + 3*f = 30 for o.
3
Solve 4*h + 24 + 6 = 2*r, -5*h = r + 27 for r.
3
Solve c - 5*y + 10 + 11 = 0, -2*c - 4*y + 14 = 0 for c.
-1
Solve -3*p + 5*o = -0 - 2, 2*p + 6 = -4*o for p.
-1
Solve 0 = -4*y + 4*p + 14 - 2, 3 = 3*p for y.
4
Solve s = w, 3*w - 8*w + 9 = 4*s for w.
1
Solve 0 = -5*j + y - 6, 8 = 4*y - 6*y for j.
-2
Solve 0 = -2*b - u - 3, 15 = -4*u + u for b.
1
Solve -5*y = 2*l - 23, -5*y - 4*l - l + 20 = 0 for y.
5
Solve -t + 19*j + 9 = 24*j, -8 = -t - 4*j for t.
4
Solve 0 = -g - 2*m - 0 - 1, 4*g + 4 = -4*m for g.
-1
Solve -4*x + 5*y + 5 = 0, -4 = 4*x - 2*y + 6*y for x.
0
Solve 12 + 3 = 3*y + 3*v, -y = -4*v + 5 for y.
3
Solve -2*p + 9 = y - 6*p, 2*y - 9 = 5*p for y.
-3
Solve -5*a + 6*y - y - 5 = 0, -5*a + 3*y - 3 = 0 for a.
0
Solve 2*f - 2*h = 6, -f - 3*h = -0*h + 13 for f.
-1
Solve 3*h + 9 = -d, -5 = h - 0*d + d for h.
-2
Solve 5*m - k - 3 = 0, m + 4*k = -2 + 11 for m.
1
Solve -j - 5*g = -26, 7*g = -3*j + 5*g + 13 for j.
1
Solve 2*f = 6*r - 8*r + 18, 3*r - 37 = -5*f for f.
5
Solve -q - 4 + 1 = -o, -5*o - 21 = 4*q for q.
-4
Solve 4*g = -2*c - 12, c - 2*g - 6 = -4 for c.
-2
Solve 13 = -4*a + i, 50*a - 16 = 51*a + 4*i for a.
-4
Solve 0 = 2*v + 5*k - 0*k + 12, k = -v for v.
4
Solve -19 = 3*p - 5*w, 5*p + 7*w + 5 = 10*w for p.
2
Solve 2*u + 311*v = 316*v, 4*u = 3*v - 14 for u.
-5
Solve -2*v - 3*n = -6*n - 8, 2*v + 5*n + 24 = 0 for v.
-2
Solve -2*t + 2*v - 4*v - 4 = 0, -v + 3 = -4*t for t.
-1
Solve -p + y + 3 = 10, 2*p + 4*y = 16 for p.
-2
Solve 9*w = 6*w + 5*a + 3, -4*a = 3*w + 24 for w.
-4
Solve -2*q = -6*k - 26, -4 = -7*q + 3*q for k.
-4
Solve 4*w - 5*v - 18 = -3*v, -3*v = -4*w + 21 for w.
3
Solve 0 = -q - 4*s + 15, 0 = 5*q + 8*s - 5*s - 7 for q.
-1
Solve -12 = -2*g - 2*j + 6*j, 4*g + 2*j - 14 = 0 for g.
4
Solve 5*a + 20 = -2*s, 4*a + 5*s = 3*s - 18 for a.
-2
Solve -t = -2*q, 8*q = 4*q - 5*t for q.
0
Solve -3*o + 2 = -4*o, -3*k = 5*o - 5 for k.
5
Solve 0 = j - 3*o - o - 25, 5*j - 4*o - 45 = 0 for j.
5
Solve -10 = -5*g + v, -5*g = 4*v - 0*v + 15 for g.
1
Solve -8*p - 33*k - 46 = -30*k, -5*p - 3*k = 31 for p.
-5
Solve 3*y - 15 = -d - y, 4*y = 4*d for d.
3
Solve 2*a - 6 = 5*o + 25, 21 = -3*o + 2*a for o.
-5
Solve -6*j - 2*a + 20 = -8*j, 4*a = -4*j for j.
-5
Solve -v - 2*i + 0*i = 1, -5*v - 3*i = -16 for v.
5
Solve -4*o = -3*z, -3*o + 2*o - 2*z = -11 for o.
3
Solve 0 = 3*l - 4*k + 15, 5*l + 13 = -5*k - 12 for l.
-5
Solve 18 = 2*l - 16*c + 21*c, 0 = -l - 2*c + 7 for l.
-1
Solve 3*v = 255 - 243, 2*m - 3*v = -16 for m.
-2
Solve 4*r + r + 30 = -2*a, 2*a = 3*r + 2 for r.
-4
Solve 16*y + 3 = r + 17*y, 0 = -3*y - 6 for r.
5
Solve 3*j + 9 = 2*o, 2*o - 2*j = -4 + 10 for o.
0
Solve 0 = -4*b - 5*y - 26, 2*y + 8 - 4 = 0 for b.
-4
Solve 25 = -v - 5*o, 5*v + 23*o = 21*o - 33 for v.
-5
Solve 3*g = -0*g + 12, 0 = 4*p + 3*g - 12 for p.
0
Solve 117*v - 112*v + 3*t = 8, 2 = 5*v - 3*t for v.
1
Solve 3*b = 2*l + 12, 0 = 7*b - 10*b - 3*l + 12 for b.
4
Solve 0 = -3*n - v - 12, 0*n = -4*n - 3*v - 21 for n.
-3
Solve -6*y = 3*s - 51, 3*s - 7 - 9 = -y for y.
7
Solve -3*x + 9 = b, -3*x + 0 = 3*b - 3 for b.
-3
Solve -9 = 3*c, -13 = 2*d - 3*c + 4*c for d.
-5
Solve 0 = -2*v - 3*j, -3*j + 2 = 3*v + 5 for v.
-3
Solve n - 3*c + 4*c = 6, -2*n = 3*c - 13 for n.
5
Solve -5*z - d + 18 = 0, 4*d - 2 = -3*z - d for z.
4
Solve 5*a + o - 9 = -2*o, 4 = 4*a + 4*o for a.
3
Solve 2*l = -5*f + 11, 30*l = 25*l - 5*f + 5 for l.
-2
Solve -5*z - 4*u + 54 - 57 = 0, -10 = -2*z + 4*u for z.
1
Solve g + 14 + 4 = 4*y, 4*g + 4*y - 28 = 0 for g.
2
Solve 8*a - 9*a - 8 = 2*o, 3*a + 6 = 0 for o.
-3
Solve 5*w = -l + 17, 43*l + 2*w - 2 = 41*l for l.
-3
Solve 0*k + 2*k - 2 = 2*m, -5*k + 4*m + 9 = 0 for k.
5
Solve -2*c + 4 = 0, 2*y = -4*c + 9*c - 8 for y.
1
Solve -2*a - c = 16 - 8, 0 = -4*a + c - 22 for a.
-5
Solve 4*f - 4*v = -0*v + 24, -f = v - 4 for f.
5
Solve 4*f - 30 = -5*o + 2, 3*f + 11 = 5*o for f.
3
Solve 0 = -3*p + x + 12, -p - 2 = -x - 6 for p.
4
Solve -2*f - 2*r = 18, 8*f = 3*f + 5*r - 5 for f.
-5
Solve -5*c - s - 5 = 4*s, -2*s = -c + 5 for c.
1
Solve 0 = 2*r + 4*x - 28, -r - 3*x - 4 + 23 = 0 for r.
4
Solve 0 = t - 4*z + 9, -3*t + 27 = 2*t + 4*z for t.
3
Solve 2*y = s + 4*y, s - 4*y = 0 for s.
0
Solve 4*x + 61 - 20 = 5*o, 4*o - 36 = 4*x for x.
-4
Solve 2*u = -l - 8, 31 = -4*l - 5*u + 8 for l.
-2
Solve -35 = -3*d - 2*z - 55, -4*d + 3*z - 4 = 0 for d.
-4
Solve -3*n = -2*q + 15, -8*q = -5*q - 5*n - 25 for q.
0
Solve -16 = y + 3*y, -4*y = 2*r + 14 for r.
1
Solve 0 = -4*n - 12, 3*l + 4*n = -204 + 180 for l.
-4
Solve -4*p - 5*j - 42 = -61, j = 3*p + 19 for p.
-4
Solve 23*o - 16 = 19*o - 4*c, -3*c = 3 for o.
5
Solve 0 = 2*m - 3*l - 6, l + 6 = 4 for m.
0
Solve 10*y - 8*y + 2 = -5*k, k = -3*y + 10 for k.
-2
Solve 0 = p + 4*k - 21, -4 = p - 2*k - 1 for p.
5
Solve -2*k + 2*x = -14, 4*k - 6 = -2*x + 4 for k.
4
Solve -21 = -2*s + 5*k + 10, -21 = -2*s + 3*k for s.
3
Solve 12 = -3*n, -3*g = 26*n - 30*n - 31 for g.
5
Solve -f - 8 = -5*q + 3*q, -3*f = -2*q + 8 for f.
0
Solve -z - 3*f + 11 = 3*z, -5*f + 22 = 3*z for z.
-1
Solve -5*s + 7 = 3*q, -37 = 2*q - 11*s + 6*s for q.
-6
Solve -j + 3 - 2 = 0, -3*j + 23 = -4*k for k.
-5
Solve 5*g + 5*j = 30, 3*j - 23 = 7*g - 11*g for g.
5
Solve 4*j = -5*h - 6, -5*j + 5*h - 64 = -34 for j.
-4
Solve 0 = -7*b + 5*b - d - 5, 0 = 3*b + 3*d + 6 for b.
-3
Solve 3*b - 3*i - 3 = 0, 170*i - 25 = 5*b + 171*i for b.
-4
Solve 3*d - 5*h - 3 = -2*h, 2*d = 5*h + 5 for d.
0
Solve 0 = -0*w + w - 4*z + 9, 5*w = z - 7 for w.
-1
Solve 3*y + 3 = 3*l, -7 = 5*l - y - 8 for l.
0
Solve -b + 6 = f, 2*f + 10*b - 7*b - 16 = 0 for f.
2
Solve 6*o - 6 = 2*o - 3*s, -2*o = -3*s + 6 for o.
0
Solve -3*k + 15 = 2*p, -3*p + 4*k = 2*p + 20 for p.
0
Solve 5*g - 29 = 2*p, 60 = -4*p + 3*g + 37 for p.
-2
Solve 4*l - 2 = -i - 0*i, l - 1 = 0 for i.
-2
Solve 3 = -2*o - c, -5 = 5*o + 5*c - 0*c for o.
-2
Solve -4*g = -4*o, 2*g + 2*g + 3*o + 14 = 0 for g.
-2
Solve 7 = -2*s - 3*s + 2*u, 5*s - 5*u = -10 for s.
-1
Solve -8*j = 5*g - 4*j - 37, 21 = 3*g + 2*j for g.
5
Solve 4*i + 32 = 3*c, 0 = 4*i + 3*c - 2 + 10 for i.
-5
Solve -3*v + 5*g = -2, -2*g + 5*g + 6 = -3*v for v.
-1
Solve 14 = i + 12, -3*s - 7 = -5*i for s.
1
Solve 0 = -4*b + 4*m + 8, 15*b = 17*b + 4*m + 14 for b.
-1
Solve h = 5*q - 13, h + 9 = 3*q - 0*h for q.
2
Solve 5*r - 5*w + 53 = 3, 3*w = -4*r + 9 for r.
-3
Solve -z - 13 = -2*p + 4*z, 0 = 4*p + 2*z + 10 for p.
-1
Solve d - 4*h = 24, d - 2*h + 3*h + 1 = 0 for d.
4
Solve -58 + 70 = 4*y - 2*l, 0 = -3*y + 4*l + 4 for y.
4
Solve -4*v + 5*d = 16, 0*v - 2*v - 14 = -4*d for v.
1
Solve 5*z + 1 = -3*t, 0*z = 3*t + 4*z - 1 for t.
3
Solve 3*r = -0*r, 5*o + 10 = -3*r for o.
-2
Solve -5*r - 3*v + 6*v = 25, 5 = -r - 3*v for r.
-5
Solve -5*n - 5*d - 45 = 0, -3*n + 2*d = -2*d - 8 for n.
-4
Solve 10 = -2*u - v, -9*v - 43 = 9*u - 5*v for u.
-3
Solve -3*r + 6*v + 23 = 4*v, 9 = r - v for r.
5
Solve -4*l + 14 = -2*h + 10, l + 9 = -2*h for h.
-4
Solve -2*v - 6 = -4*o, v - 8*o + 1 = -4*o for v.
-5
Solve w + 18 = -4*k + 20, -6*k - 6 = -3*w for w.
2
Solve 5*f - 4*f + 5*i = -9, 0 = 2*f + 4*i + 6 for f.
1
Solve -4*g - 11 = 3*k, -4*g + 2 = -3*g - 4*k for g.
-2
Solve f + 12 - 3 = 5*m, 0 = -5*f + 2*m + 1 for f.
1
Solve 2*y - 7 = y - 5*g, 2*y + 2*g = 6 for y.
2
Solve 0 = 4*m - 16, 2*m + m - 10 = w for w.
2
Solve -4*w - 2*d - 30 = 0, -6 = w + 2*d + 9 for w.
-5
Solve -2*s + 3*s - 5*z = -20, -5*s = 3*z - 12 for s.
0
Solve -14*m + 11*m = -2*r + 7 - 3, 4*m = 0 for r.
2
Solve -2*b + 4*n = -12, -5*b = -4*n - 0*n - 24 for b.
4
Solve r - g + 1 = -r, 11 = 3*r - 4*g for r.
-3
Solve 4*v - 94*s = -89*s - 22, -4*v - 4*s - 40 = 0 for v.
-8
Solve 2*t - n - 6 + 0 = 0, 4*t - 5*n = 0 for t.
5
Solve 4*f = 2*d - 152 + 148, 5*f = -3*d - 16 for f.
-2
Solve 3*v - v = -5*d + 1, 4*d = -v + 2 for v.
-2
Solve 0*s = -s - 5, -29 = 2*a + 5*s for a.
-2
Solve 6*v - 6 = 9*v - 2*y, -4*v + y = 3 for v.
0
Solve 8*x + 40 = 3*x - 5*o, 3*x - 2*o = -9 for x.
-5
Solve l - 4*v = 23 - 13, -2*l - v - 7 = 0 for l.
-2
Solve 0 = -3*c - 5*b - 13, 4 = -2*c - b for c.
-1
Solve -g - 3 = -3*z + 6, 5*g - 12 = -4*z for z.
3
Solve -3*f - 5 = -5*v, -28 = -5*f - 4*v + 13 for f.
5
Solve -2 = i - 5*v, 2*i - 4 = -0*v + 2*v for i.
3
Solve -2*s + m + 15 = 0, -3*s - 5*m - | {
"pile_set_name": "DM Mathematics"
} |
060*a - 495. Let k(j) = -4*s(j) - 55*z(j). Let f(q) = -8*q**2. Determine f(k(v)).
-9945800*v**2
Let t(v) = -v - 26. Let p(c) be the first derivative of -3/2*c**2 - 98 + 0*c. Determine t(p(j)).
3*j - 26
Let n(p) = 54*p**2 + 56*p**2 - 188*p**2 + 9 + 54*p**2 + 40*p**2. Let b(m) = -4*m. Determine b(n(w)).
-64*w**2 - 36
Let r(d) = 6*d**2. Let v(z) = -83386*z + 44*z**2 + 83386*z - 382*z**2. Give r(v(x)).
685464*x**4
Let y = -44 - -47. Let b(n) = 2 - 35*n**2 - 7*n**2 + 1 + y*n + 12*n**2. Let p(w) = -w**2 + w + 1. Let c(q) = -b(q) + 3*p(q). Let r(j) = j. Determine r(c(v)).
27*v**2
Let q(u) = -u. Let f(p) = -722*p**2 - 924*p. Calculate f(q(v)).
-722*v**2 + 924*v
Let w(q) = 9030045*q. Let p(d) = 2*d**2. Calculate p(w(v)).
163083425404050*v**2
Let p(y) be the second derivative of -2*y**3/3 + 4260*y. Let n(c) be the third derivative of c**5/4 + c**2. Calculate n(p(x)).
240*x**2
Let h(j) = 59*j**2 - j. Let b(m) = 589800*m. What is h(b(v))?
20523978360000*v**2 - 589800*v
Let s(t) = 5*t. Let p be -1293*4/(-48) + 5/20. Let k(v) = 347*v**2 - 104*v**2 - 120*v**2 - p*v**2. Calculate k(s(x)).
375*x**2
Let j(v) = 27*v**2. Let d(k) be the third derivative of -3*k**4/8 + k**3 - 6573*k**2. Determine d(j(f)).
-243*f**2 + 6
Let d(x) = 8405 - 8405 - 1644*x**2. Let b(y) = -4*y. Give b(d(n)).
6576*n**2
Let v(y) be the third derivative of 129*y + 0*y**3 + 0 - 1/24*y**4 + y**2. Let u(n) = -23*n**2. Calculate v(u(f)).
23*f**2
Suppose 2*x + 2 = 3*x. Let i(r) = 3*r - 6*r + x*r + 2*r. Let v(a) be the third derivative of 7*a**4/24 + 73*a**2. What is v(i(n))?
7*n
Let u(a) be the third derivative of 0*a - 9*a**2 + 0 + 7/60*a**5 + 0*a**3 + 0*a**4. Let b(n) be the first derivative of -n**2/2 - 84. Calculate u(b(z)).
7*z**2
Let w(o) be the first derivative of o**3 - 423*o + 25 + 423*o. Let d(y) = -12*y. Give w(d(k)).
432*k**2
Suppose -33*u + 20*u + 793 = 0. Let l(o) = 69*o**2 + u*o**2 + 27 - 128*o**2. Let f(t) = t. What is l(f(g))?
2*g**2 + 27
Let o(a) = -a + 21. Let f(z) = 121215*z. Give f(o(g)).
-121215*g + 2545515
Let u(x) = -2*x. Let k(w) = 3*w - 16. Let t be k(10). Suppose -5*q = t*q - 38. Let a(b) = -b**q + 4 + 31 + 53 - 10. Give a(u(r)).
-4*r**2 + 78
Let a(z) be the second derivative of -z**3/3 - z - 106. Let o(n) = -170 + n + 170. What is a(o(m))?
-2*m
Let x(i) = 110*i + 4. Let h(q) = -205*q - 10. Let u(m) = 122*m + 6. Let c(v) = -3*h(v) - 5*u(v). Give x(c(k)).
550*k + 4
Let y(s) = 200*s**2 + 418*s**2 - 1573*s**2. Let n(q) = -q. Determine n(y(d)).
955*d**2
Let s(v) = -1 + 1 - 215*v - 217*v + 434*v. Let g(i) = 1035*i**2. What is g(s(t))?
4140*t**2
Let p(z) be the first derivative of -79 + 0*z + 5/2*z**2. Let r(n) = 28*n**2. Give r(p(i)).
700*i**2
Let r(y) = 18*y**2 + 2*y. Let s(w) = -20*w**2 - 3*w. Let i(d) = -3*r(d) - 2*s(d). Let g(z) = -100*z**2. What is i(g(h))?
-140000*h**4
Let f(m) = 1014*m. Let c(q) = -74*q**2. Determine c(f(p)).
-76086504*p**2
Let l(y) = y**2 - 1256522. Let j(h) = -29*h. Determine j(l(b)).
-29*b**2 + 36439138
Let c(y) = 2*y. Let b(n) = 3*n. Suppose 4*k - 66 + 26 = 0. Let z(o) = k*c(o) - 6*b(o). Let l(u) = -2*u - 2. What is l(z(i))?
-4*i - 2
Suppose -8*o + 3*o = 0, 5*j - 1365 = o. Let p(s) = -j + 273 + 18*s. Let f(b) = b**2. Calculate p(f(d)).
18*d**2
Let f(z) = -82*z. Let l(s) = s**3 + 9*s**2 - 2*s + 85. Let d be l(-10). Let a(x) = -3*x - 10*x + d*x + 13*x. Give a(f(h)).
-410*h
Let o(w) = 15*w**2 - 11. Let l(r) = -9488*r**2. Give o(l(c)).
1350332160*c**4 - 11
Let a(j) be the first derivative of -j**3/3 + 949. Let f(d) = -78*d**2. What is f(a(x))?
-78*x**4
Let s(g) be the first derivative of -4*g**3/3 + 87. Let f(w) = -w - 4. Let u(d) = -1. Let l(v) = -5*f(v) + 20*u(v). Determine s(l(a)).
-100*a**2
Let j(t) be the second derivative of -t**3/3 - 189*t. Let d(c) = 3*c - 14. Let w be d(6). Let s(m) = 2*m**2 - w*m**2 - 8*m**2 - 21*m**2. Calculate s(j(f)).
-124*f**2
Let x(q) = -315751*q**2. Let i(r) = 29*r**2 - 24. What is i(x(m))?
2891262126029*m**4 - 24
Let s(q) = 2*q. Suppose 14*a + 12 = 12. Let p(h) = a*h**2 + 4*h + 4*h**2 + 2*h + 0*h - 3*h. What is p(s(m))?
16*m**2 + 6*m
Let j(w) be the second derivative of 0*w**3 + 0*w**2 - 2*w - 1/6*w**4 + 0. Let y(h) = h + 3*h + 5*h. Determine j(y(x)).
-162*x**2
Suppose -6*y - 3*r = -2*y - 17, 19 = 5*y + 3*r. Let g(v) = 3*v**y + 5 + 6 - 19 + 8. Let d(b) = 52*b**2. Determine g(d(n)).
8112*n**4
Let z(l) = -l + 100. Let w(r) = 27883*r**2. Give z(w(h)).
-27883*h**2 + 100
Let q(j) = 6*j. Let k(x) = x - 1. Suppose -3*b = -8*b + 110. Suppose -7*c = b - 85. Let t(i) = 6*i - 9. Let a(y) = c*k(y) - t(y). What is a(q(f))?
18*f
Let k(l) = 582*l**2. Let b(w) = 510*w**2. Determine k(b(j)).
151378200*j**4
Let m(z) = -55*z + 3. Let d(s) = -20*s + 1. Let o(p) = -3*d(p) + m(p). Let q(f) be the third derivative of f**5/20 - f**2. Calculate q(o(x)).
75*x**2
Let d(k) = -90*k - 53*k + 130*k. Let f(b) = 4*b - 3*b + 6*b. Give d(f(a)).
-91*a
Let n(d) = 4782*d**2. Let z(j) = -j + 974. Give z(n(h)).
-4782*h**2 + 974
Let g(p) be the third derivative of p**4/8 + 2*p**2. Let o(a) be the second derivative of a**3/6 + a**2 - 25*a + 299. Give g(o(h)).
3*h + 6
Let g(z) = -78*z**2. Let n(i) = 2056*i + 70. Give n(g(o)).
-160368*o**2 + 70
Let j(n) = 869042*n**2 + 2. Let d(z) = 7*z. Calculate d(j(l)).
6083294*l**2 + 14
Let f(o) be the third derivative of 7*o**5/5 + 3*o**2 - 12*o. Let d(t) = 3. Let i(j) = j**2 - 15. Let x(k) = -15*d(k) - 3*i(k). Determine f(x(z)).
756*z**4
Let u(i) = 43*i - 43*i + 41*i**2. Let h(d) = 82*d + 88*d - 169*d. Calculate u(h(x)).
41*x**2
Let p(w) = -89473*w. Let z(c) = 17*c. Determine p(z(n)).
-1521041*n
Let u(y) be the second derivative of -y**4/6 - 2*y. Let v be (2 - 0)/(-6*3/(-27)). Let t(l) = -602 + 602 + v*l**2. Give t(u(r)).
12*r**4
Let j(z) = -3*z**2. Suppose 0 = -2*t - 18 + 22. Suppose -t*d + 0 = -90. Let p(m) = d*m**2 - 26*m**2 - 18*m**2. Determine p(j(v)).
9*v**4
Let y(d) = -11*d. Let q(x) be the second derivative of -4*x**3/3 + 3*x**2/2 - 1115*x. What is q(y(g))?
88*g + 3
Let k(a) = 8 - a + 0*a - 8. Let u(o) be the first derivative of 1/2*o**2 + 0*o + 48. Determine u(k(n)).
-n
Let j(d) be the second derivative of -69*d + 23/6*d**4 + 0 + 0*d**2 + 0*d**3. Let c(f) = -3*f**2. Give c(j(s)).
-6348*s**4
Let b(c) = 6*c**2 + 148*c. Let j(i) = 4*i**2 + 12230 - 24465 - 5*i**2 + 12235. What is b(j(f))?
6*f**4 - 148*f**2
Let u(f) = -20*f. Let o(c) = 28*c + 235. Let r(l) = 61*l + 477. Let v(i) = -13*o(i) + 6*r(i). Determine u(v(j)).
-40*j + 3860
Let h(z) = 108*z**2. Let m(s) = 4*s - 34. Suppose 35 - 161 = 9*o. Let f be m(o). Let n(g) = g**2. Let r(t) = f*n(t) + h(t). Let y(k) = -k. Determine y(r(i)).
-18*i**2
Let d(r) be the first derivative of 56/3*r**3 + 0*r + 0*r**2 - 80. Let x(y) = -2*y**2. Calculate d(x(w)).
224*w**4
Suppose -2*h = g - 0 - 4, 4*g - 1 = -3*h. Let r(t) = t + 4. Let l be r(g). Let c(z) = -8*z**2 + 5*z**2 + 5*z**l - z**2. Let y(w) = -24*w. What is c(y(n))?
576*n**2
Let i(r) = -3*r. Let b(p) be the second derivative of -3*p**4/4 - p**3/6 - 1272*p. Give i(b(s)).
27*s**2 + 3*s
Let p(b) be the third derivative of -257*b**4/8 - 2072*b**2. Let u(n) = -n**2. Determine p(u(y)).
771*y**2
Let u(g) = 706*g - 63. Let m(w) = -471*w + 45. Let z(b) = 7*m(b) + 5*u(b). Let o(a) = -9*a. Give z(o(l)).
-2097*l
Let x = 808 + -664. Let n(q) = -x + 7*q - 31*q + 144. Let d(t) = 14*t. Give n(d(v)).
-336*v
Let s(q) = -9*q**2. Let g(h) = 249983296*h**2. Calculate g(s(t)).
20248646976*t**4
Let c(h) = -20*h - 3. Suppose 21*l = 29*l - 232. Let b(d) = -29 + d + d + l. Calculate b(c(m)).
-40*m - 6
Let y(h) = 2*h**2. Let m(s) be the second derivative of 0*s**3 + 216*s + s**2 + 0 - 7/6*s**4. Give y(m(p)).
392*p**4 - 112*p**2 + 8
Let u(t) = t**2 + 18*t + 60. Let m be u(-14). Let c(l) = 268 - 134 + m*l**2 - 134. Let i(o) = 17*o. Calculate i(c(q)).
68*q**2
Let a(g) = 54*g + 297. Let w(q) = -11*q - 54. Let y(n) = 2*a(n) + 11*w(n). Let x(b) = -17*b**2. Give x(y(k)).
-2873*k**2
Let u(g) = 170*g**2. Let r = 495 - 492. Let f(w) = -w + 3. Let j(p) = -p + 2. Let b(a) = r*j(a) - 2*f(a). Give b(u(l)).
-170*l**2
Let u(d) = 657*d. Let z(p) = -54*p + 119. Determine z(u(a)).
-35478*a + 119
Let p(h) = 8*h**2. Let d(m) = 4246885*m. Determine p(d(z)).
144288257625800*z**2
Let h(u) = 59*u. Let z(x) be the third derivative of -5*x**4/8 + 881*x**2. Give h(z(b)).
- | {
"pile_set_name": "DM Mathematics"
} |
AM?
11:01 PM
How many minutes are there between 7:32 AM and 3:42 PM?
490
What is 387 minutes before 7:26 PM?
12:59 PM
How many minutes are there between 5:13 PM and 10:54 PM?
341
How many minutes are there between 9:58 AM and 6:38 PM?
520
What is 662 minutes before 1:42 PM?
2:40 AM
What is 657 minutes after 10:26 AM?
9:23 PM
How many minutes are there between 8:48 AM and 1:01 PM?
253
How many minutes are there between 6:49 AM and 1:35 PM?
406
What is 337 minutes before 4:43 PM?
11:06 AM
How many minutes are there between 6:53 PM and 11:36 PM?
283
What is 195 minutes before 10:49 AM?
7:34 AM
How many minutes are there between 10:47 PM and 5:33 AM?
406
How many minutes are there between 4:13 PM and 11:01 PM?
408
What is 207 minutes after 10:48 AM?
2:15 PM
How many minutes are there between 9:17 AM and 4:26 PM?
429
How many minutes are there between 6:48 PM and 7:40 PM?
52
What is 39 minutes after 9:03 PM?
9:42 PM
What is 557 minutes after 5:50 AM?
3:07 PM
How many minutes are there between 5:39 PM and 6:55 PM?
76
How many minutes are there between 3:43 AM and 7:38 AM?
235
What is 331 minutes before 10:39 AM?
5:08 AM
What is 155 minutes after 5:37 AM?
8:12 AM
How many minutes are there between 3:50 PM and 7:50 PM?
240
How many minutes are there between 6:26 PM and 5:43 AM?
677
What is 136 minutes after 10:39 AM?
12:55 PM
How many minutes are there between 3:50 AM and 2:26 PM?
636
What is 235 minutes before 5:58 PM?
2:03 PM
How many minutes are there between 3:45 PM and 3:00 AM?
675
What is 153 minutes after 9:42 PM?
12:15 AM
What is 69 minutes before 8:11 PM?
7:02 PM
How many minutes are there between 6:45 PM and 11:38 PM?
293
How many minutes are there between 5:07 AM and 2:27 PM?
560
How many minutes are there between 8:53 PM and 6:38 AM?
585
What is 286 minutes after 2:01 AM?
6:47 AM
What is 526 minutes after 3:40 AM?
12:26 PM
How many minutes are there between 3:48 AM and 1:07 PM?
559
What is 404 minutes before 10:26 AM?
3:42 AM
How many minutes are there between 12:31 AM and 7:30 AM?
419
What is 96 minutes after 8:25 PM?
10:01 PM
What is 459 minutes before 5:02 AM?
9:23 PM
What is 705 minutes after 4:14 AM?
3:59 PM
What is 669 minutes after 10:05 AM?
9:14 PM
What is 159 minutes before 3:28 PM?
12:49 PM
What is 625 minutes before 10:22 PM?
11:57 AM
How many minutes are there between 1:47 PM and 7:07 PM?
320
What is 680 minutes after 6:43 AM?
6:03 PM
What is 50 minutes after 6:32 AM?
7:22 AM
What is 107 minutes after 6:11 AM?
7:58 AM
How many minutes are there between 7:17 PM and 7:26 PM?
9
How many minutes are there between 9:21 PM and 10:10 PM?
49
What is 9 minutes before 7:58 AM?
7:49 AM
How many minutes are there between 7:55 PM and 2:49 AM?
414
What is 373 minutes before 9:05 AM?
2:52 AM
How many minutes are there between 1:13 AM and 6:26 AM?
313
How many minutes are there between 5:06 PM and 9:20 PM?
254
What is 69 minutes after 8:11 AM?
9:20 AM
How many minutes are there between 9:49 AM and 4:59 PM?
430
How many minutes are there between 4:56 PM and 5:45 PM?
49
What is 121 minutes before 1:24 AM?
11:23 PM
What is 662 minutes before 5:51 AM?
6:49 PM
How many minutes are there between 4:03 PM and 10:03 PM?
360
How many minutes are there between 7:55 PM and 7:34 AM?
699
How many minutes are there between 5:36 PM and 7:51 PM?
135
How many minutes are there between 2:53 PM and 8:14 PM?
321
What is 420 minutes before 1:06 PM?
6:06 AM
What is 89 minutes after 11:17 AM?
12:46 PM
What is 127 minutes after 2:14 AM?
4:21 AM
What is 337 minutes before 3:48 AM?
10:11 PM
What is 270 minutes before 10:00 PM?
5:30 PM
How many minutes are there between 11:44 PM and 9:51 AM?
607
How many minutes are there between 12:42 PM and 9:30 PM?
528
How many minutes are there between 6:53 PM and 12:37 AM?
344
What is 51 minutes before 1:25 AM?
12:34 AM
What is 156 minutes after 5:02 PM?
7:38 PM
How many minutes are there between 4:02 AM and 8:54 AM?
292
What is 488 minutes before 5:25 PM?
9:17 AM
What is 141 minutes after 1:11 PM?
3:32 PM
How many minutes are there between 5:26 AM and 4:21 PM?
655
How many minutes are there between 9:42 AM and 10:53 AM?
71
How many minutes are there between 10:39 AM and 8:25 PM?
586
What is 439 minutes after 1:04 AM?
8:23 AM
How many minutes are there between 11:43 PM and 1:49 AM?
126
What is 126 minutes before 7:29 PM?
5:23 PM
What is 675 minutes after 9:33 AM?
8:48 PM
How many minutes are there between 5:49 AM and 2:39 PM?
530
How many minutes are there between 10:55 AM and 1:47 PM?
172
How many minutes are there between 4:20 PM and 6:35 PM?
135
What is 560 minutes after 11:20 AM?
8:40 PM
What is 583 minutes after 5:10 PM?
2:53 AM
What is 142 minutes before 7:41 AM?
5:19 AM
How many minutes are there between 4:17 AM and 10:23 AM?
366
What is 609 minutes before 8:27 AM?
10:18 PM
How many minutes are there between 10:41 AM and 4:53 PM?
372
How many minutes are there between 3:41 PM and 8:06 PM?
265
How many minutes are there between 8:26 AM and 10:09 AM?
103
How many minutes are there between 2:37 PM and 5:32 PM?
175
How many minutes are there between 2:33 PM and 8:28 PM?
355
How many minutes are there between 11:21 PM and 8:51 AM?
570
What is 639 minutes after 2:44 AM?
1:23 PM
What is 98 minutes after 1:56 AM?
3:34 AM
How many minutes are there between 3:34 PM and 4:07 PM?
33
What is 480 minutes before 7:41 PM?
11:41 AM
How many minutes are there between 11:21 PM and 9:26 AM?
605
What is 385 minutes after 2:39 PM?
9:04 PM
What is 714 minutes after 12:33 PM?
12:27 AM
How many minutes are there between 12:04 AM and 12:14 AM?
10
How many minutes are there between 3:01 AM and 9:15 AM?
374
What is 376 minutes after 11:14 PM?
5:30 AM
What is 153 minutes after 1:18 PM?
3:51 PM
What is 703 minutes before 9:03 PM?
9:20 AM
How many minutes are there between 12:51 AM and 5:51 AM?
300
How many minutes are there between 12:56 AM and 10:37 AM?
581
What is 657 minutes before 7:16 AM?
8:19 PM
How many minutes are there between 6:00 PM and 8:45 PM?
165
How many minutes are there between 12:44 AM and 4:40 AM?
236
What is 388 minutes after 4:00 PM?
10:28 PM
How many minutes are there between 10:38 PM and 2:02 AM?
204
What is 428 minutes before 2:21 PM?
7:13 AM
What is 252 minutes after 8:01 AM?
12:13 PM
How many minutes are there between 1:24 PM and 8:10 PM?
406
How many minutes are there between 2:22 PM and 9:23 PM?
421
How many minutes are there between 3:04 AM and 11:28 AM?
504
What is 170 minutes after 8:29 AM?
11:19 AM
What is 195 minutes after 5:45 PM?
9:00 PM
How many minutes are there between 7:03 AM and 11:33 AM?
270
What is 578 minutes before 7:52 PM?
10:14 AM
What is 82 minutes after 7:45 AM?
9:07 AM
What is 505 minutes before 12:40 AM?
4:15 PM
What is 709 minutes before 2:54 AM?
3:05 PM
How many minutes are there between 7:07 AM and 4:48 PM?
581
How many minutes are there between 12:16 PM and 8:44 PM?
508
What is 399 minutes after 10:44 PM?
5:23 AM
How many minutes are there between 11:05 PM and 10:21 AM?
676
How many minutes are there between 7:44 PM and 11:21 PM?
217
What is 130 minutes after 7:32 AM?
9:42 AM
How many minutes are there between 2:40 AM and 5:26 AM?
166
How many minutes are there between 8:58 AM and 11:05 AM?
127
What is 67 minutes before 3:44 PM?
2:37 PM
What is 60 minutes after 1:15 AM?
2:15 AM
What is 14 minutes before 4:54 AM?
4:40 AM
How many minutes are there between 1:13 AM and 3:20 AM?
127
What is 552 minutes after 7:16 AM?
4:28 PM
What is 420 minutes after 9:12 AM?
4:12 PM
How many minutes are there between 7:07 AM and 4:23 PM?
556
How many minutes are there between 12:09 PM and 12:59 PM?
50
How many minutes are there between 12:54 AM and 5:49 AM?
295
What is 439 minutes after 9:35 AM?
4:54 PM
How many minutes are there between 5:00 PM and 11:54 PM?
414
What is 556 minutes after 9:11 AM?
6:27 PM
How many minutes are there between 1:10 PM and 5:14 PM?
244
How many minutes are there between 12:00 PM and 6:44 PM?
404
How many minutes are there between 11:54 PM and 2:58 AM?
184
How many minutes are there between 5:46 AM and 9:29 AM?
223
How many minutes are there between 9:35 PM and 12:26 AM?
171
How many minutes are there between 11:08 PM and 2:45 AM?
217
What is 676 minutes after 11:38 AM?
10:54 PM
What is 1 | {
"pile_set_name": "DM Mathematics"
} |
one hundred.
-200
Let r = -257.06 + -0.94. Let c = 222.7 + r. What is c rounded to zero decimal places?
-35
Let t = -0.386999614 - -0.387. What is t rounded to seven dps?
0.0000004
Let o = 56.4 + -0.4. Let r = 2211959.7700118 + -2211903.77. Let k = r - o. Round k to six decimal places.
0.000012
Let k = -867 - -946.6. What is k rounded to the nearest ten?
80
Let c be (-1)/2 + 9/18. Suppose 0 = -c*f + f + 4. Let a be f/(-16) + (-43200004)/16. Round a to the nearest 1000000.
-3000000
Let l = -0.292475 + 0.0724745. Let r = 0.22 + l. What is r rounded to 7 decimal places?
-0.0000005
Let s = -1802 + 1802.3483. Let q = 0.36 - s. What is q rounded to 3 decimal places?
0.012
Let x = 8.05 - 8.864. Round x to the nearest integer.
-1
Let o = -61 + 30. Let m = -239.1 - -270.48. Let u = o + m. What is u rounded to one decimal place?
0.4
Let t = -11090 - -11090.0006603. What is t rounded to four decimal places?
0.0007
Let d(n) be the second derivative of n**3/3 + 5*n**2/2 + 5*n. Let z be d(4). Suppose f - z = 17. Round f to the nearest ten.
30
Suppose -u = 3*b - 12, 6*u + 2*b = 2*u - 2. Let f be (u - -2) + (-1329998 - 1). What is f rounded to the nearest one hundred thousand?
-1300000
Let h be 48/10 - (-12)/(-15). Suppose 567928 = h*v - 2272072. What is v rounded to the nearest 100000?
700000
Let m = 0.008 - 0.00794659. Round m to five dps.
0.00005
Let v(n) = n**3 + 4*n**2 - 21*n - 10. Let l be v(-7). Let w be l*58*2500*2. What is w rounded to the nearest one million?
-3000000
Let y = -0.03 + 0.02688. Round y to four decimal places.
-0.0031
Let s = -20.3 + 196.1. Let a = 206 - s. Round a to the nearest integer.
30
Let c = 1 + 2. Suppose -7*a + 320 = -3*a + 3*p, -160 = -2*a - c*p. Suppose a = -6*j + j. What is j rounded to the nearest 10?
-20
Let s = 166 - 182. Let q = 0.56 + -17.66. Let x = q - s. What is x rounded to zero decimal places?
-1
Let k = 60.6 - 52.3. Round k to the nearest 10.
10
Let t = -1878 + 2058.9. Round t to the nearest ten.
180
Let z = 1.107 - 1.28. Let u = 0.173182 + z. What is u rounded to 4 decimal places?
0.0002
Suppose -5 = 4*h - 9*h. Let p be (17 + -18)/(((-2)/(-166))/h). Round p to the nearest 10.
-80
Let r = -7 + 9. Let d be r/1 + -3 + 6. Suppose 4*a + 119 = d*c, 6*c - 3*c + 158 = -5*a. What is a rounded to the nearest ten?
-30
Suppose 5*s - 2997882 = -f, 3*f + 0*f = 2*s + 8993731. Suppose 0 = -t - 147907 + f. Round t to the nearest 100000.
2900000
Let f = 5.5 + -5. Let l = 4.5 + f. Let n = -4.99995 + l. Round n to 4 dps.
0.0001
Let u = 1.1 + -10.1. Let g = u - -9.15. Let j = -0.167 + g. What is j rounded to 2 dps?
-0.02
Suppose -4*r - r + 2*o + 182 = 0, 0 = -2*r - o + 71. Let l be (2 + -3)*(3/(-1) + r). What is l rounded to the nearest ten?
-30
Let u be 2/(1/(-2)*8/(-10)). Suppose 3*b - 13 = 5*h - 147, 2*b = u*h - 81. What is b rounded to the nearest ten?
-50
Let f = 437.99614 + -438. Round f to 4 dps.
-0.0039
Let z = -17.707086 + 17.808. Let l = 0.101 - z. What is l rounded to five dps?
0.00009
Let c be (-18 + -3 - -2) + 3. Let b be ((-51)/34)/(6/c). Suppose -11900 = t - 4*o, -t = -0*t + b*o + 11900. Round t to the nearest 1000.
-12000
Let q = -5.3999963 + 5.4. Round q to six dps.
0.000004
Let p = 39047 - 39043.6074. Let i = 146.7626 - p. Let w = 144 - i. What is w rounded to one dp?
0.6
Let p = -18.5 + 232.5. Let v = -213.9818 + p. Round v to 3 decimal places.
0.018
Let p be -1*9/3 - -66105. Let z = p - 116102. Round z to the nearest 100000.
-100000
Let n = 12.98412537 + -33.98412701. Let t = -21 - n. What is t rounded to seven dps?
0.0000016
Let u = -87 - -87. Suppose q - 3*c - 16203 = u, 7*q = 3*q - 4*c + 64796. Round q to the nearest 1000.
16000
Let k = 3984839 + 5743024. Suppose g + 3327863 = k. What is g rounded to the nearest 1000000?
6000000
Let o = 0.12087 + -194.96087. Let a = -0.16 + o. Let f = a + 194.999897. What is f rounded to 5 dps?
-0.0001
Let g = -56.01379 + 64.306449. Let v = 7.99265942 - g. Let u = 0.3 + v. What is u rounded to seven decimal places?
0.0000004
Let c be 2/12 + 255/(-18). Let r(i) = i**3 + 14*i**2 - 7*i + 17. Let x be r(c). Suppose o - x = -305. Round o to the nearest 10.
-190
Let b = -0.028657 + 22.649757. Let n = b - 22.6. What is n rounded to 3 dps?
0.021
Let n = 0.7 + -0.02. Let h = n + -0.17. Let k = -0.5034 + h. What is k rounded to three decimal places?
0.007
Let g = 2076.6 + -2244.19. Let u = -169 - g. What is u rounded to 1 dp?
-1.4
Let h(u) = 1923*u + 390*u - 4 - 29*u + 370*u. Let m be h(-3). Let p = m + 2666. What is p rounded to the nearest 1000?
-5000
Let h(a) = 3 + 2 + 71*a**2 - 6*a - 6 - 8*a. Let t be h(7). Round t to the nearest one hundred.
3400
Suppose -2*b + 5*i - 16064962 = 10457058, -53043988 = 4*b + 3*i. What is b rounded to the nearest one million?
-13000000
Let a = -19465787 + 19465785.4600097. Let y = a + 1.54. Round y to 6 decimal places.
0.00001
Let i = 9668.9993197 - 9669. Round i to 4 decimal places.
-0.0007
Let m = -0.068 + 0.028. Let u = -0.0399946 - m. What is u rounded to 6 decimal places?
0.000005
Let x = 81 + -78. Let l be (-900021)/(-3) + 0 + 0. Let m be (-6)/x - (5 - l). What is m rounded to the nearest one million?
0
Let g = -154831.073 - -154904. Let t = g - 73. What is t rounded to two decimal places?
-0.07
Let m(n) = 20300006*n**2 - 14*n + 4. Let z be m(2). What is z rounded to the nearest 1000000?
81000000
Let u = 30 + -30.228. Let z = u - -0.5272. Let r = z + -0.3. What is r rounded to three decimal places?
-0.001
Suppose 44*f = 39*f + 138850000. What is f rounded to the nearest one million?
28000000
Let w = 189282.81 - 190571. Let j = w - -1283. Let f = 8.8 + j. Round f to 1 dp.
3.6
Let h be 23/(161/13090)*260. Round h to the nearest one hundred thousand.
500000
Let b(t) = -t**2 + 8*t + 3. Let o be b(8). Suppose -3*q - 2*s = 1890010, 3*q = -0*s - o*s - 1890015. What is q rounded to the nearest one hundred thousand?
-600000
Let d = -0.546 - -7.206. Round d to zero dps.
7
Let m = 0.0822 - 254.7822. What is m rounded to the nearest one hundred?
-300
Let c be 8 + -3 + 0/(-2). Suppose -649980 = -c*o - 5*s, -o + 2*s + 650008 = 4*o. Round o to the nearest one hundred thousand.
100000
Let h be 20 + -27 + (6075012 - 5). Round h to the nearest 100000.
6100000
Let k be (-834)/(-9) - 8/(-24). Let o be (-1250)/(k/96 + -1). Round o to the nearest one thousand.
40000
Let h = 7353943.000308 + -7354099. Let r = h - -156. Round r to 4 dps.
0.0003
Let s = 1284894.2699956 - 1284894. Let i = 0.27 - s. Round i to 6 dps.
0.000004
Let a(b) = 5*b**2 + 3*b - 2. Let m be a(-14). Suppose -v - 936 = 5*x, 4*x = -0*v - v - m. Let k = 1726 + v. Round k to the nearest one hundred.
800
Let n = -1.1 - -27.1. Let m = n + -7. Let f = -19.00028 + m. What is f rounded to four decimal places?
-0.0003
Let t = 66702 - 66710.0014. Let v = t - -8. Round v to 3 dps.
-0.001
Let b = 6999 + -1239. What is b rounded to the nearest one thousand?
6000
Let y = -27 - -26.9997552. Round y to 5 decimal places.
-0.00024
Let w be (-33)/(-7) - 30/(-105). Suppose -4650003 = -5*x + a, -1917050 - 2732962 = -w*x + 4*a. What is x rounded to the nearest one hundred thousand?
900000
Let r = -23447599 - -15047599. What is r rounded to the nearest 1000000?
-8000000
Let w = 56.06 - 55. Let n = 0 + 1. Let u = w - n. Round u to one decimal place.
0.1
Let r = -722 - -722.00662. What is r rounded to four dps?
0.0066
Let t = 13 + -11. Let o be -8692 - 2/(-4)*t. Let x = -19691 - o. What is x rounded to the nearest 10000?
-10000
Let r(y) = 51999*y**2 + y. Let j be r(1). What is j rounded to the nearest one hundred thousand?
100000
Let q = -3149028 + 17949028. What is q rounded to the nearest one hundred thousand?
14800000
Let m = -79612572092 + 79611831481.99998. Let b = m + 740598. Let d = b + 12. Round d to 5 decimal places.
-0.00002
Suppose -2*s + 5*s - 729 = 0. Let g = s - 543. What is g rounded to the nearest one thousand?
0
Let m = 6.28998715 + -6.29. Round m to 7 decimal places.
-0.0000129
Let u = -91.91636 + 91.9. Round u to three dps.
-0.016
Suppose 3*w + 18020 = 5*v, -2*v + 5 = -3. What is w rounded to the nearest ten thousand?
-10000
Let v = -331354.47000005 - -331355.67. Let a = v - 1.2. Round a to seven decimal places.
-0.0000001
Let y = -11 - -13. Suppose 4400000 = -y*u - 0*u. What is u rounded to the neares | {
"pile_set_name": "DM Mathematics"
} |
379. Let h be (-5)/12 - 6/(-9). What is the fourth biggest value in h, b, d, -2?
-2
Let z be ((5 - 11)/(-144))/((-3)/(-1468)). Let i = -121/6 + z. Let f = -3.4 + 3. What is the second smallest value in f, i, -2/7?
-2/7
Let j = 945 + -6617/7. Which is the second biggest value? (a) j (b) -0.08 (c) 2/15
b
Let g = -1942.4 - -1945.4. Which is the fourth smallest value? (a) -89.7 (b) -4 (c) g (d) -2/9
c
Let m = 119 + -481/4. Suppose -5*g - p = -38 - 20, -4*g = -2*p - 52. Let w be (18/48)/(g/16) - 0. What is the third smallest value in 0.3, m, w, -4?
0.3
Let h = -2220 + 2221. Which is the second biggest value? (a) 0 (b) 0.09 (c) 11/4 (d) h
d
Let k = 0.48737 + -0.08737. What is the second smallest value in k, 3/280, 3?
k
Let r be (-2)/(-5) - (-358)/5 - (-737 + 741). What is the second smallest value in -1, 3/5, -4, r, -2/9?
-1
Let k = -21 - -20.6. Let u = 25.67 + -26.05. Which is the third smallest value? (a) k (b) 1 (c) u
b
Let h = 1/101 + -215/1313. What is the second biggest value in -4, h, -32, 3?
h
Let g = 103.15 - 107. Let h = g - 0.15. What is the biggest value in 2, -13, h, -1/4?
2
Suppose 0 = -246*w - 177 + 103 - 172. What is the second smallest value in 1364/7, w, 2?
2
Let i = 0.344 + -0.744. Let p = 160 + -1442/9. Which is the third biggest value? (a) p (b) i (c) 3.5
b
Let w = 42 - 16. Suppose -4*f - n = -9*f + 38, -5*f + w = 3*n. Let h = -2.6287 + 3.0287. Which is the second biggest value? (a) f (b) -2 (c) h
c
Let t = -259 - -202. Let u = t - -57.3. Which is the second smallest value? (a) 3/5 (b) u (c) 1/9
b
Let x be 4/14 + 4/35. Let m be -1 - 18/(-10) - 522399/(-920). Let i = -569 + m. Which is the third biggest value? (a) -4 (b) -3 (c) x (d) i
b
Let f = 2 + 0. Let v = -1/2103 - -4219/27339. Which is the fourth smallest value? (a) 0 (b) v (c) -3 (d) f
d
Let w = 187.9 + -13.9. Let s = 178 - w. Which is the third smallest value? (a) s (b) 5 (c) -0.4 (d) -1
a
Let x = 1.084 + -0.984. Which is the smallest value? (a) 5 (b) 11/20 (c) -4 (d) 0.4 (e) x
c
Let w = 23 - 41/2. Let d be ((-12)/9)/(((-22)/12)/(-11)). Let c be -3 + 5 + d/3. What is the fourth smallest value in w, 0.1, c, 2/7?
w
Let i = 0.06 - 220.06. Let q = i + 219.8. Which is the fourth biggest value? (a) 0.3 (b) 4 (c) q (d) 9
c
Let r = -1463 + 1458. What is the second biggest value in -0.13, -2/33, r?
-0.13
Let t(n) = 2*n**3 - 46*n**2 + 2*n - 45. Let g be t(23). Which is the third smallest value? (a) g (b) -21 (c) -10 (d) -1/4
d
Suppose 0 = -2*i + 2 - 6, -y - 44 = 4*i. Which is the second smallest value? (a) y (b) -3 (c) -0.2
b
Let y = 10.639 - 5.639. Let p = -3 - -3.3. Which is the smallest value? (a) 0.8 (b) p (c) y (d) 4
b
Let t = -0.0283 + 0.3283. Let h = 5.6 - 8.6. Which is the second smallest value? (a) 0.2 (b) t (c) h (d) -2.4
d
Let p = -60 - -89. Suppose -9*u + p = -16. Which is the biggest value? (a) u (b) 1/4 (c) 6
c
Let u = 1809 - 1813. Which is the fifth biggest value? (a) 47 (b) -0.4 (c) 0.5 (d) 1/8 (e) u
e
Let j(i) = 11*i**2 - 13*i + 7. Let s be j(5). Let l = s + -222. What is the third smallest value in -15, 0.3, l?
0.3
Let u be (5 - 4)*(0 - 191/2). Let q = u + 96. Which is the biggest value? (a) -0.9 (b) -7 (c) q
c
Let p = 0.0029 + 3.2271. Let w = p - 4.23. What is the second biggest value in 0, w, -2/5?
-2/5
Let c = 36009 + -36009.9. Let o = -0.19 - -11.19. What is the third smallest value in c, o, 0.3?
o
Let i = -3150/20137 - -4/1549. Which is the fourth smallest value? (a) i (b) -19 (c) 5 (d) 2/3 (e) -2
d
Let h = 677.06 - 668. Let f = h + -10.56. What is the second biggest value in 2, f, 0.5?
0.5
Let k be (209/38)/11 + (-1)/2. Which is the second biggest value? (a) k (b) 3.1 (c) 1/3
c
Let g = -0.04116 + 0.04116. Which is the third biggest value? (a) g (b) -0.2 (c) -2/5 (d) -1
c
Let j = 161.01 - 165.01. Which is the second biggest value? (a) 2 (b) -1/28 (c) j (d) 5/7
d
Let d = 327.4117 - 0.2117. Let a = d + -327. What is the smallest value in -3/4, -75, a?
-75
Let c = 49.3 + -29.3. Let v = 19 - c. What is the second smallest value in v, 0.086, -2?
v
Let j = 1.327 - -2.673. What is the second biggest value in -3/4, -5, 0.3, j, 1.6?
1.6
Let p = 192.8 + -190.8. Which is the fourth smallest value? (a) 0.0885 (b) 0.2 (c) p (d) -2 (e) -2/5
b
Let j = 0.1 - 0.1. Let h be 79 - 62 - (-1 - -1). Let d = -41.4 - -41.7. What is the third smallest value in h, j, d?
h
Let a = -1509.6 - -1509. What is the biggest value in 3, 5, -1, 0.3, a?
5
Let o be -3 - 3*(-1)/(-2). Let y = -39.8 - -40.2. Let a = -11 + 12. What is the second biggest value in a, y, o?
y
Let j = 7529.9 - 7531. What is the fourth biggest value in j, -3, 2/135, -5?
-5
Let r = 2089.5 - 2090. Which is the second smallest value? (a) r (b) 0.5 (c) -0.2 (d) 2.2
c
Let y(g) = g**3 + 13*g**2 - 4*g + 138. Let k be y(-14). Which is the third biggest value? (a) -3.6 (b) -5 (c) k (d) 2 (e) -0.2
c
Let j = -119.5 + 135. Let l = -10.5 + j. Let q be (-4)/(-22) - 364/1155. What is the second biggest value in l, -1, q, 0?
0
Let s be (-117)/(-216) - 12/32. What is the biggest value in 1/3, -0.9, s?
1/3
Let t = -165 - -149. Which is the fourth biggest value? (a) 0.5 (b) -4 (c) t (d) 3
c
Let s = -978 - -980. Suppose 5*g + 5 = 4*c + 4, 0 = -4*c - 3*g - 39. What is the third biggest value in c, -5, s?
c
Let v = 0.2 + -0.6. Let f = 531073/9 + -59008. Which is the third biggest value? (a) f (b) v (c) 18
b
Let y = 6.203 + -5.203. Which is the second smallest value? (a) -142 (b) -16 (c) y
b
Let d(r) = r**3 + 31*r**2 + 13*r + 426. Let b be d(-31). What is the biggest value in 0.1, -2/7, -2, -2/3, b?
b
Suppose 14*k - 11*k = -3. Let c be (-2)/8*0 - k/(-2). Suppose 1 = 4*l + 13. What is the second smallest value in 11, l, -2/5, c?
c
Let r = 2617 - 2617. What is the third biggest value in r, -47, -5/2, 0.6, -4?
-5/2
Let d = -143 + 143.5. Let m = 7.69 - 7.77. Which is the second smallest value? (a) d (b) 0.4 (c) m
b
Suppose 4*r = z - 34, 0*z + r + 58 = 3*z. Let b be -1 + 2/z*21. Suppose -1 = 2*y + 9, -3*w + 22 = -5*y. What is the smallest value in b, 2, w, -2/15?
w
Let l = 0.403 - -48.197. Let m = -44 + l. Let y = 4.2 - m. What is the second smallest value in -0.05, -0.1, 5/3, y?
-0.1
Let w = 90.208 + -89.828. Let p be (-6)/(-15)*(-1)/(-2). What is the biggest value in p, -2, -1, w?
w
Let o = 256.308 + -0.308. Let f = 255 - o. What is the fourth biggest value in -7, -0.5, -2/7, f?
-7
Suppose 2*m = -2*s + 20, m + 5 = 5*s - 15. Let g(i) = 5*i - 36. Let l be g(22). Suppose 0 = 8*r + 78 + l. What is the second smallest value in -5, m, r?
-5
Let p = 2.567 + -6.567. What is the fifth smallest value in 4, -2/3, p, 0, -0.2?
4
Let d be ((-4)/17)/(-2 - (-12 + 8)). Let w be (20/25)/((-2)/(-10)). Suppose -5 + 3 = 2*j. What is the second biggest value in w, j, d?
d
Let u = 2.02 + -0.02. Let n = -7/635 + 1319/4445. Which is the fourth smallest value? (a) -0.3 (b) u (c) n (d) 4
d
Suppose 0 = 59*q - 414*q - 10295. Let a = 0.4 - 0.2. What is the smallest value in 2/15, a, q?
q
Let f = 25488 - 50975/2. Which is the second smallest value? (a) f (b) 3 (c) -1 (d) 9 (e) -4
c
Let h = -0.05099 + 0.15099. Which is the third smallest value? (a) -0.4 (b) 0.5 (c) h (d) 100
b
Let m = 3933 + -3932.9. Which is the biggest value? (a) m (b) -5 (c) 2/21
a
Let c = 353/170 - 57/34. What is the third smallest value in 0, -1/12, c, 21.5?
c
Let d be 61/3 + (-2)/6. Suppose -51 = -d*v + 19*v. Let q be 5/30 - v/(-18). What is the third biggest value in 16, q, 2/3?
2/3
Let j = 0.109 - -14.491. Let i = -17.6 + j. Which is the second biggest value? (a) -1 (b) i (c) 1/3 (d) -9
a
Let y(w) = w**2 + 5*w + 3. Let o be y(-5). Let f = 757 - 755. Suppose 14 = 3*x + f*d, -x - o*d + 15 = 2*x. Which is the smallest value? (a) -4 (b) x (c) -5
c
Let m = 3.523 - 0.523. Which is the smallest value? (a) 4 (b) 6 (c) m
c
Let u = -217604/128613 + 218/129. Which is the third biggest value? (a) u (b) -4 (c) 1/8
b
Let i = 9171 + -9167. Let p = -5 - -7. What is the fourth smallest value in -4, i, 1/3, p?
i
Let s = -2135/1802 + 39/34. Let u = s - 261/106. Let r = -38.8 + 38.7. What is the biggest value in u, 0.4, -0.2, r?
0.4
Let y = -2888.8 + 2889. What is the third bigges | {
"pile_set_name": "DM Mathematics"
} |
st the prime factors of n.
2, 409
What are the prime factors of 42/(-70) - 206649/(-15)?
2, 3, 7, 41
Suppose 0 = -10*l + 26 - 6. Suppose 2*p + 2*m - 706 = 0, -1777 = -5*p + l*m - 4*m. What are the prime factors of p?
3, 7, 17
Let w(n) be the second derivative of -n**5/20 + n**4/2 + 5*n**3/6 - n**2/2 - 12*n. Let r be w(7). Let z = -12 - r. List the prime factors of z.
3
Let j be (40/(-12))/(14/6 + -3). Let h be j/(-1) - (4 + -3). Let b(p) = -p**3 - 6*p**2 - 4*p + 2. List the prime factors of b(h).
2, 13
Let v = -716 + 716. Suppose 5*c = -l + 214 + 6668, c - 5*l - 1366 = v. What are the prime factors of c?
2, 43
Let h = 8268 + -237. What are the prime factors of h?
3, 2677
Let q(g) be the second derivative of -27*g**3/2 - 51*g**2/2 - 25*g - 2. List the prime factors of q(-8).
3, 199
Suppose -11*v + 179391 = 4*h, v - 16479 = 5*h - 160. List the prime factors of v.
47, 347
Suppose -3*a - 114 = -0*g - 2*g, 4*a = -3*g - 152. Let r be 5/20*4 - a/2. Let u(l) = -l**3 + 21*l**2 - 16*l - 32. What are the prime factors of u(r)?
2, 3
Suppose -q - 1 = 3*u, 2*u = -2*q + 7*q + 22. Let f be u/(7/7) + 131 + 0. Suppose -3*z = 30 - f. List the prime factors of z.
2, 17
Let t be (-20)/(-3 - -1) + -2. Let u be (-7246)/(-16) - t/(-64). Suppose 0 = 7*p - 4*p - u. List the prime factors of p.
151
Suppose 3*a - 85*i + 39 = -88*i, -4*a - 16 = -5*i. List the prime factors of (a + 229 - 0)*2.
2, 5, 11
Let a(u) = -2*u**3 + 27*u**2 + 289*u - 249. List the prime factors of a(-33).
3, 30497
What are the prime factors of (-262490)/(-45) + (-2)/18?
19, 307
Let o(u) = 178*u - 1443. What are the prime factors of o(78)?
3, 11, 13, 29
Let n = -62 + 96. Suppose -n = -6*r - 4. Suppose 5*y - 316 = 4*q + 394, q = r*y - 725. List the prime factors of y.
2, 73
Let g = -23702 + 40810. Suppose 22*j - 3352 - g = 0. List the prime factors of j.
2, 3, 5, 31
Let o(v) = -41*v**3 + v**2 - 36*v + 73. Let c be o(2). Let i = -8 - 458. Let w = c - i. List the prime factors of w.
11, 13
Suppose -3*w - 452 = w. Let o = w + 111. What are the prime factors of 336/2 + (-4)/(o + 0)?
2, 5, 17
Let s = -169 - -164. List the prime factors of s/(-4) - (-2 + 12285/(-12)).
13, 79
Suppose 92*r - 323748 = 46*r. List the prime factors of r.
2, 3, 17, 23
Suppose -a = -3*b + 111616, -4*b + 62310 + 86516 = a. What are the prime factors of b?
2, 3, 13, 53
Suppose -273*f = -275*f + 21048. What are the prime factors of f?
2, 3, 877
Let b(h) = -20*h**2 + 4*h - 6. Let i = 35 - 38. Let f(u) = -u + 1. Let s(k) = i*f(k) - b(k). What are the prime factors of s(2)?
3
Let k be (-4)/(-26) - (-30285)/117. Let s = -178 + k. Let y = s - 33. List the prime factors of y.
2, 3
Suppose 2*j + j - 42 = 0. Suppose -2*t - 2*z + 4*z + 2 = 0, -z = 2*t - j. Suppose -64 = -4*r + t*k, 2*r - 4*k = -0*r + 38. List the prime factors of r.
11
Suppose -62*g + 3006 = -53*g. Let n = 514 + g. List the prime factors of n.
2, 53
Let k(s) = 52 - s**2 + 15 + 5*s**2 - 2*s**2 - 2*s. Let g = 94 - 94. What are the prime factors of k(g)?
67
Let m(h) = -2*h**2 + 2*h + 791. Let y = -293 - -293. List the prime factors of m(y).
7, 113
Let h = -9500 - -17892. What are the prime factors of h?
2, 1049
Suppose -a = 6 - 48. Suppose 3*m - a = 3. Let t(y) = -y**2 + 17*y + 26. What are the prime factors of t(m)?
2, 7
Suppose 0 = -i + 2*p + 7, 2*p + 7 = -4*i + 15. Suppose 5*r - 1826 = 4*n - 8*n, -i*r = n - 1097. List the prime factors of r.
2, 3, 61
Suppose 244*x = 299*x - 121330. List the prime factors of x.
2, 1103
Suppose -10*l = l - 33. Suppose -10*h + 2415 = -l*h. What are the prime factors of h?
3, 5, 23
Suppose 54*v = 15126 + 12522. Let l = 1405 - v. What are the prime factors of l?
19, 47
Suppose 48136 = 4*o - f, -5*o + 3*f = 5*f - 60183. What are the prime factors of o?
5, 29, 83
Suppose 4*l - f = 408, f + 89 = l + 4*f. Let c = -10 + l. What are the prime factors of c?
7, 13
Let o(j) = 4*j**2 - 5*j + 6. Suppose -y - 4 + 31 = 3*r, -2*r - 5*y = -18. Let k be r + (-4)/(4 + -3). What are the prime factors of o(k)?
3
Let s = 4829 + -4706. Suppose -84 = 3*i - 252. Let b = s - i. What are the prime factors of b?
67
Suppose h + 217 - 15 = 2*s, -2*h + 106 = s. Let g = s - 53. Suppose 0 = n - g - 14. What are the prime factors of n?
3, 7
Let s(n) = -2*n**3 - 15*n**2 + 9*n + 6. Let m = -52 - -53. Let a(l) = l**3 + l**2 - l. Let v(f) = m*a(f) + s(f). What are the prime factors of v(-15)?
3, 37
Let i = 99 + 434. Let q = 784 - i. What are the prime factors of q?
251
Let r be 1278/24 + 3/(-12). Let h be (-4)/16 - -2*r/8. What are the prime factors of 1064/h - 12/(-78)?
2, 41
What are the prime factors of (-2328)/970 + (-43217)/(-5)?
8641
Let l(r) = 0 + 4 + 0 + 6*r - 2. Let w be (1 + 32)*2/6. What are the prime factors of l(w)?
2, 17
Suppose -51*c + 59*c - 47376 = 0. List the prime factors of c.
2, 3, 7, 47
Let c(y) = 7*y**2 + 100*y - 1906. List the prime factors of c(46).
2, 8753
List the prime factors of -17 + 10 + 5 - (2 - 4390 - 1).
41, 107
Suppose -139*i = 10*i - 257205 - 2806086. What are the prime factors of i?
3, 7, 11, 89
Let z(c) = 94*c - 9. Let h be z(-1). Let l = h + 336. What are the prime factors of l?
233
Let o(q) = q**2 + 104*q + 210. Let j be o(-2). Suppose 3*d = -6 + 15. Suppose d*i - b = -j*b + 117, -2*b = 3*i - 108. What are the prime factors of i?
2, 17
Let q(u) = 77*u**3 - 4*u**2 + 8*u - 3. List the prime factors of q(4).
3, 7, 233
Let a be 4 + ((-1 - -10)/(-3) - -3). Let v be a/(-12) + 2262/9. Suppose 3*n + 5*m - 417 = 0, -3*n = m - 166 - v. What are the prime factors of n?
139
Let j(r) = 6*r + 24. Let y be j(0). What are the prime factors of (-22)/2*(y + -133)?
11, 109
Let o = -3 - -11. Let n(s) = 837 - 1774 + 914 + 8*s. List the prime factors of n(o).
41
Let k(i) = -i**3 + 18*i**2 + i - 13. Let a be k(18). Suppose -y - 2 = 3*m - 3, a*y = 5. Suppose m = -3*v + 213 + 174. What are the prime factors of v?
3, 43
Let k(x) = -3*x**3 - 2*x**2 + 5*x - 5. Let c be k(2). List the prime factors of 12/(-27) - (6 + 12810/c).
2, 3, 13
Suppose -9*c = 2115 - 405. Let k = 77 - c. List the prime factors of k.
3, 89
Let w(u) = 8*u**3 + 10*u**2 - 131*u - 17. What are the prime factors of w(11)?
2, 5, 13
Suppose -5*h - 12 = 7*h. Let a be 8*h/(-2) + 384. Let d = -194 + a. What are the prime factors of d?
2, 97
Let f = 1364 + -1071. List the prime factors of f.
293
Suppose -4*v + z + 6 = -3, 2*v + z = 9. Let q(x) = 28*x**2 + x + 6. What are the prime factors of q(v)?
3, 29
Let m be 1/(-4) + (-232)/(-32). Let o be 4/(-28) - 13/m. What are the prime factors of o/3 + (-718)/(-6)?
7, 17
Let f = 66128 - 36875. List the prime factors of f.
3, 7, 199
Let g(h) = -315*h - 2850. What are the prime factors of g(-58)?
2, 3, 5, 257
Suppose -4*r = 7*k - 11*k - 100, 5*r - k - 145 = 0. Let j(d) = -d**3 + 30*d**2 + 15*d + 6. What are the prime factors of j(r)?
2, 3, 19
Let p be 4745/(-20)*4*3. Let i = p - -4080. What are the prime factors of i?
3, 137
Suppose 3*w + 26237 = 2*h - 2*w, -4 = 4*w. List the prime factors of h.
2, 3, 1093
Let n(m) be the second derivative of m**5/10 - 3*m**3/2 - 20*m**2 + 17*m. Let t(u) be the first derivative of n(u). What are the prime factors of t(-4)?
3, 29
Let h = 93 + -90. Suppose -22*g - h*b - 810 = -25*g, 0 = -g - 3*b + 266. What are the prime factors of g?
269
List the prime factors of 4 - (-2 - 147/(-24)) - 941703/(-56).
2, 1051
Suppose 22643*a - 97614 = 22637*a. What are the prime factors of a?
3, 11, 17, 29
Let h(b) = 67*b + 4583. What are the prime factors of h(-58)?
17, 41
Let i = -96 + 98. Suppose 7*a - 4*a + s - 617 = 0, 0 = -i*a + 5*s + 400. Let z = 373 - a. List the prime factors of z.
2, 3, 7
Suppose -4*u - 183 = -7*k + 2*k, -2*k + 62 = 4*u. Let f = k + -23. What are the prime factors of (-1 + 69/9)*f?
2, 5
Let z(u) be the first derivative of 5*u**2/2 + 26*u - 1362. Let a be (-18)/(0 + -1 + 0). List the prime factors of z(a).
2, 29
List the prime factors of (-264)/(-4 + (-46)/(-12)) + (-70)/(-14).
7, 227
Let l(k) = 5*k + 31. Let o be l(-7). What are the prime factors of 838 + (-28)/(0 + o)?
5, 13
Let m be (-1 - (-2 - (0 + -1)))*1. Suppose 4*q - 2*z - 158 = 0, -3*q - z - 2*z + 141 = m. List the prime factors of (822/(-9))/(4 + q/(-9)).
137
Let g(k) = -k**2 - 10*k - 14. Let s be g(-8). Let h be -2*s*(-9 + 8). List the prime factors of 1156/16 + (- | {
"pile_set_name": "DM Mathematics"
} |
t value in m, -5, u?
u
Let l = -1219.8 + 1220. What is the fourth smallest value in 2, 0, l, 4?
4
Let d be 32/(-88) - 2/(-11). Let i = 19 + -11. Let v = i + -11. Which is the second biggest value? (a) v (b) d (c) -2/3
c
Let a(c) = 4*c**2. Let z be a(1). Let m be z/14 + (-8)/14. Let f = -56 + 55.8. What is the second biggest value in f, m, -1/4?
-1/4
Let x be (-1 + 14/(-4))*(-9)/27. Let z = -3 - -3.2. What is the smallest value in -28/3, z, x?
-28/3
Let i = -113/55 - -27/11. Suppose -4 - 8 = -4*d. What is the smallest value in d, 1.3, i?
i
Let g = 5.68 - 5.38. What is the second biggest value in -8/9, g, -0.1?
-0.1
Let i be (-1680)/490 - 2*(0 - 1). Which is the third biggest value? (a) -1/2 (b) -0.1 (c) -3 (d) i
d
Suppose 4*s + 20 = 4. What is the second smallest value in -0.5, 0.1, s, 0?
-0.5
Let j = -3 - 0. Let i = 601.3 - 671.23. Let u = 70 + i. What is the third smallest value in j, -0.5, u?
u
Let v(o) = o**2 + 2*o - 22. Let n be v(-6). Let u be (1/4)/((-15)/18). What is the third smallest value in 5/4, u, n?
n
Suppose -39*f = -51 - 27. What is the second biggest value in 1/6, -1, 8, f?
f
Let l = -493 - -495. What is the biggest value in -0.1, -361, -4, l?
l
Let n = 1/7842 + -2540815/54894. Let x = -46 - n. Which is the biggest value? (a) 1 (b) 0.2 (c) x
a
Let i be (-2)/3 - 12/54*-30. Which is the fourth biggest value? (a) i (b) 1 (c) 0.1 (d) 2/9
c
Let v = -291 - -293. Which is the second smallest value? (a) v (b) 4 (c) 5
b
Let a = 21 + -37. Let l = a + 15.57. Let h = l - -0.23. What is the second smallest value in 0.1, h, -2?
h
Let l be 4 + -3 + 7/(-5). Let y = 6.9 + -4.9. What is the third biggest value in l, y, -2/15?
l
Let p = -1 - 1. Let h = 173 + -173.06. Which is the second smallest value? (a) h (b) p (c) -0.1
c
Let f = 0.09 - 0.27. Let x = 0.09 + f. Let u = x + 0.39. What is the third biggest value in u, -2, -0.1?
-2
Let m = 0 - -0.4. Suppose 3*s = 5*k - 4*k + 13, 0 = -4*k - s. Let g be (3 + k)*(-2)/9. Which is the smallest value? (a) g (b) -0.2 (c) m
a
Let f = -4 + -1. Let s = -82 - -85. Which is the smallest value? (a) f (b) s (c) 0.3 (d) 0.1
a
Let f = 52.923 + 0.077. Let x = -31 + f. Let z = -22 + x. What is the second smallest value in z, 5, -0.2?
z
Let f = 32 - 8. Let s be 2/12*f/18. Let n be (-7)/((-735)/25)*(-4)/(-10). Which is the second smallest value? (a) n (b) s (c) -0.5
a
Suppose -22*i + 17*i + 10 = 0, 0 = -2*w + 5*i - 18. Let y(d) = 2*d. Let g be y(2). Let b be 42/(-10) - (14 + -18). What is the smallest value in g, b, w?
w
Let q be 0/(-2) + ((-80)/(-45))/(-8). Let n = -148 - -152. Which is the second smallest value? (a) q (b) n (c) -2 (d) -1
d
Let c = 48 - 48.5. Let g = -46.2 + 46. What is the third biggest value in c, g, 0.2?
c
Let u = 15 + -11. Let d = 75.5 + -70.5. What is the second biggest value in u, 10, d?
d
Let s be (4/(-14))/((-720)/(-182) - 4). Let v = s - 41/6. What is the second biggest value in -0.5, 2/75, v?
v
Let k(m) = -m**3 - 4*m**2 - 2*m - 3. Let f be k(-4). Suppose -7*n - 109 = -116. Which is the smallest value? (a) -4 (b) 0 (c) f (d) n
a
Let x = 1/1738 + -1741/5214. What is the third biggest value in 16, x, -0.3, 3?
-0.3
Suppose -k + 2*k + 3 = 0. Let m = -241 - -243. Which is the third biggest value? (a) 5 (b) m (c) -4/7 (d) k
c
Let b = -817/17370 - -1/386. What is the biggest value in 4, 1/3, b?
4
Let s = -0.03 - -0.43. Let m = -0.26 + -0.04. Let k = m + 0.5. Which is the second biggest value? (a) s (b) k (c) -0.4
b
Let n = -0.16 - 1.84. Which is the third smallest value? (a) 0.1 (b) n (c) -1
a
Let t = -0.92 + -2.08. What is the biggest value in 5, 2, t, -3/8?
5
Let b = 47 - 42. Let f = -2 + 0. What is the second smallest value in b, f, -1/6?
-1/6
Let n = 6 - 4. Let y = 1 + n. Let t be -11 + 341/33 - 13/(-6). Which is the third smallest value? (a) y (b) -0.2 (c) t
a
Let d = 3196 - 3195. Let o be 1/2*-2*5. What is the third biggest value in 3, 2, d, o?
d
Let x(z) = -64*z + 574. Let q be x(9). Which is the smallest value? (a) 4 (b) -57 (c) q
b
Let o = 1570 + -1570.4. Which is the third smallest value? (a) -2/3 (b) -1 (c) 0.4 (d) o
d
Let c = -626.6 - -627. What is the third biggest value in -321, 2/13, c?
-321
Let t be (30/8)/(20/8). Which is the fourth biggest value? (a) 7 (b) -3/2 (c) t (d) -1.2
b
Let d be (-285)/30 - -11 - (-5)/(-2). Which is the second biggest value? (a) d (b) -10 (c) -5
c
Let g = -100 + 96. What is the fourth biggest value in -5, g, 5, 4?
-5
Let i = 10.1 + -44.1. Let v = 26.7 + 4.3. Let s = v + i. What is the second biggest value in s, 1/5, -1.6?
-1.6
Let u = 0.846 + -0.546. What is the third biggest value in -140, 4, u, -0.3?
-0.3
Let j = 1.4 + 0.6. Let n = -8.3 - -2.3. Which is the third smallest value? (a) -4 (b) n (c) j
c
Let i = -35 + 41. Suppose u = u + i*u. What is the third biggest value in 3, -1/8, u?
-1/8
Let d be 0 + 1 + 0 + 4191/(-2394). Let n = d - -11/14. Which is the third smallest value? (a) n (b) -3/2 (c) -0.5
a
Let g = -0.8 - -1.2. Let u = -4.783 - 0.217. What is the second biggest value in -0.04, g, u?
-0.04
Let l be 15 + (-1708)/168 - 3/(-18). Let m be 2/5 - 6/(-10). Let h = -1 + m. Which is the biggest value? (a) l (b) -2 (c) h
a
Let m = 4.365 - 0.365. What is the second smallest value in -4, -8, m?
-4
Suppose -3*q + 2 = 2*i - 2, -3*q + 2*i + 8 = 0. Let w = -3 + q. Let m be w/(2*27/12). Which is the third biggest value? (a) 1/6 (b) 3 (c) m
c
Let p = -15.5 - -10.5. Let h = 0 - 0.4. Which is the third biggest value? (a) p (b) h (c) 0.7
a
Suppose -51 = 18*o + 3. What is the second smallest value in -2, 1/6, o, -1/4?
-2
Let q = 72 + -73. What is the fourth smallest value in -1/6, 4, q, 0.37?
4
Let u = -0.62 + 0.6. Let h = -0.22 - u. Let p = 73 - 71. What is the smallest value in h, -0.5, p?
-0.5
Let o = 6.4 - 6. Let s(t) be the second derivative of -5*t**3/6 - 19*t**2 - 35*t. Let d be s(-7). What is the smallest value in d, o, 1?
d
Let l = 121.165 - -0.135. Let n = l - 121. Which is the second biggest value? (a) n (b) -2/9 (c) 0.04
c
Let q = 288 - 432. Let p = q + 149. Which is the biggest value? (a) 3 (b) -1 (c) -3 (d) p
d
Let d = 51311/6 + -8620. Let x = d - -68. Let p = 6 - 7. Which is the third biggest value? (a) p (b) 1/3 (c) x
a
Let d(j) = -37*j - 183. Let s be d(-5). Which is the biggest value? (a) -4 (b) 0.28 (c) s
c
Suppose 0 = 2*x - 2*p - 1 + 5, 0 = -2*x - 3*p + 6. Suppose 0 = -x*t - 3*t - 3*r + 12, -t + 5*r = 26. What is the third biggest value in 2/5, -0.03, t?
t
Let y = 1.12 - -1.88. Let r = 5 + -4.7. Which is the third biggest value? (a) -4/3 (b) r (c) y
a
Let u = 631 + -624. What is the second biggest value in u, -0.5, -1/7, 3/8?
3/8
Let d = -1.2 - -1. Let m = 13 + 1.5. Let g = 15 - m. Which is the second biggest value? (a) g (b) -0.5 (c) d
c
Let d = 1083 + -1083. What is the second smallest value in d, -215, 2?
d
Let k = -1/5316 - 3541/15948. Let j = 39/145 + -2/29. Which is the third biggest value? (a) k (b) -0.2 (c) j (d) -5
a
Suppose -3*d - 18 = v, -27*v + 10 = -32*v + d. What is the third biggest value in 5, v, -2/9, -2/7?
-2/7
Let i = -0.171 - 0.329. Let r be -2*(1 - (5 - 3)). Which is the fourth smallest value? (a) 3/5 (b) r (c) i (d) -2/3
b
Suppose -2*h = -3*p + 5, 4*h - 6*p + 5 = -p. Let f = 0.166 + 1.834. What is the fourth biggest value in 0.5, f, 0.2, h?
0.2
Let w = 2.33 + -1.9. Let s = -6.33 + w. Let h = s - -6. Which is the third smallest value? (a) 0.4 (b) -0.1 (c) h
a
Let l = -0.1 + -1. Let p = l + -2.9. Which is the third biggest value? (a) -1 (b) 8 (c) p
c
Let k = 420 - 420.3. What is the second biggest value in k, -1, -3?
-1
Let i = 53.8 + -54. Which is the second smallest value? (a) 15 (b) i (c) 0.1
c
Let s = 2.3 + -2. Let x = 7.92 - -0.08. Let z = x - 9. Which is the third biggest value? (a) z (b) 0.5 (c) s
a
Let p(t) = t**3 + 11*t**2 + 7*t - 18. Let q be p(-10). Let m be (14/35*-5)/(q - 1). What is the fourth smallest value in 4, 3/8, -1/7, m?
4
Let z = 1.3 - 1.16. Let w = z + 0.06. Let i = 0.9 - 1.1. What is the biggest value in -1, i, w?
w
Let t = -33 - -26. Let y = -12 - t. Which is the third smallest value? (a) 0.6 (b) 5 (c) y
b
Let h = 29.1 + -43.1. Let u = -26 - -12. Let v = h - u. What is the bi | {
"pile_set_name": "DM Mathematics"
} |
What is the greatest common factor of 56 and 38094?
14
Calculate the highest common divisor of 2838 and 8184.
66
Calculate the greatest common divisor of 19886 and 5978.
122
What is the greatest common factor of 806848 and 21?
7
What is the greatest common divisor of 2644650 and 54?
54
Calculate the highest common factor of 17200 and 39044.
172
What is the greatest common divisor of 3681 and 276893?
409
Calculate the highest common divisor of 85032 and 2088.
72
What is the greatest common factor of 3604 and 476?
68
What is the greatest common divisor of 75887 and 777?
259
Calculate the greatest common factor of 6213 and 1653.
57
What is the highest common factor of 319888 and 16?
16
Calculate the greatest common factor of 700 and 43100.
100
What is the highest common factor of 2474010 and 54?
54
What is the highest common factor of 13408 and 84638?
838
Calculate the greatest common factor of 4 and 1137908.
4
Calculate the highest common divisor of 16646 and 1414.
14
What is the greatest common factor of 222 and 149406?
222
Calculate the greatest common factor of 14833 and 1793.
163
Calculate the highest common divisor of 7003064 and 148.
148
What is the highest common divisor of 9 and 471819?
3
What is the greatest common divisor of 324742 and 232?
58
What is the highest common divisor of 533 and 383309?
41
Calculate the greatest common factor of 4585989 and 723.
723
Calculate the highest common factor of 336 and 11728.
16
What is the highest common factor of 68780 and 665?
95
What is the highest common factor of 160 and 1931260?
20
Calculate the highest common factor of 18915 and 795.
15
What is the greatest common factor of 48 and 41892?
12
Calculate the greatest common factor of 4981160 and 40.
40
Calculate the highest common divisor of 175 and 21287.
7
What is the greatest common factor of 410078 and 5306?
758
Calculate the greatest common factor of 5532966 and 8046.
2682
What is the highest common factor of 430552 and 8?
8
Calculate the greatest common factor of 48011 and 41.
41
What is the highest common factor of 53853 and 261?
87
What is the highest common factor of 5916 and 276?
12
Calculate the highest common factor of 34828 and 4.
4
What is the greatest common factor of 4246 and 363?
11
What is the highest common divisor of 419015 and 463?
463
What is the greatest common factor of 7381 and 2623?
61
What is the greatest common factor of 3249 and 969?
57
Calculate the highest common factor of 342883 and 164.
41
What is the highest common factor of 1032 and 1092?
12
Calculate the greatest common divisor of 47768 and 1456.
56
What is the greatest common divisor of 4 and 84820?
4
What is the highest common divisor of 3450 and 67758?
138
What is the greatest common factor of 286905 and 465?
465
Calculate the greatest common factor of 370 and 8843.
37
What is the greatest common divisor of 1903 and 13667?
173
What is the greatest common factor of 1589 and 9761?
227
Calculate the highest common factor of 407 and 25971.
11
Calculate the greatest common factor of 396 and 21516.
132
What is the greatest common factor of 49 and 37?
1
Calculate the highest common divisor of 738311 and 21.
7
Calculate the highest common factor of 31203 and 15.
3
What is the greatest common divisor of 99018 and 162?
18
What is the highest common factor of 14010 and 750?
30
Calculate the highest common divisor of 4851 and 2070054.
441
What is the greatest common factor of 369 and 1012659?
123
Calculate the highest common factor of 102 and 1572.
6
Calculate the greatest common divisor of 278 and 397957.
139
What is the highest common divisor of 8133749 and 403?
403
What is the greatest common divisor of 9231 and 8869?
181
Calculate the greatest common factor of 216 and 100728.
72
Calculate the highest common factor of 38642 and 4.
2
What is the highest common factor of 36 and 24534?
18
What is the greatest common factor of 5607 and 612?
9
What is the highest common divisor of 2000 and 650?
50
Calculate the greatest common factor of 4048 and 10978.
22
What is the highest common factor of 5 and 60205?
5
Calculate the greatest common divisor of 750 and 903250.
250
Calculate the greatest common factor of 204 and 33728.
68
Calculate the greatest common factor of 146363 and 309.
103
What is the greatest common factor of 6656 and 154856?
104
What is the greatest common divisor of 26600 and 36050?
350
What is the greatest common divisor of 1332 and 5892768?
1332
Calculate the greatest common factor of 2409 and 2877149.
803
Calculate the greatest common divisor of 112 and 49744.
16
What is the highest common factor of 6835 and 65?
5
Calculate the greatest common factor of 121343 and 10.
1
What is the highest common divisor of 139 and 329291?
139
What is the highest common divisor of 9 and 33309?
9
What is the highest common factor of 4070 and 66970?
370
Calculate the greatest common divisor of 13297148 and 43.
43
Calculate the greatest common divisor of 429 and 235235.
143
What is the highest common factor of 17066 and 43148?
322
Calculate the highest common factor of 4 and 29996.
4
What is the highest common factor of 75396 and 488?
244
Calculate the highest common factor of 154 and 270578.
154
Calculate the greatest common divisor of 2148 and 196.
4
Calculate the greatest common divisor of 600049 and 47.
47
What is the greatest common divisor of 134 and 450441?
67
Calculate the greatest common divisor of 1524 and 2604.
12
Calculate the highest common factor of 42957 and 555.
111
Calculate the greatest common factor of 144060 and 300.
60
What is the highest common factor of 1368 and 26424?
72
Calculate the greatest common divisor of 31720 and 640.
40
Calculate the highest common factor of 11363 and 242.
11
Calculate the highest common divisor of 2498595 and 285.
285
Calculate the greatest common factor of 40 and 2828690.
10
Calculate the greatest common factor of 23260 and 30.
10
Calculate the highest common divisor of 7990 and 37600.
470
Calculate the highest common factor of 1677 and 10621.
559
Calculate the greatest common factor of 8 and 3245432.
8
Calculate the highest common divisor of 282 and 17460.
6
What is the greatest common factor of 47035 and 90?
5
What is the greatest common divisor of 72350 and 30?
10
What is the highest common factor of 1565368 and 56?
56
What is the greatest common divisor of 32415 and 185?
5
What is the highest common factor of 95 and 203015?
95
Calculate the highest common divisor of 134 and 277246.
134
What is the greatest common divisor of 4010968 and 104?
104
What is the greatest common factor of 61842 and 1650?
66
Calculate the greatest common factor of 19 and 323171.
19
What is the greatest common divisor of 177562 and 154?
154
Calculate the greatest common divisor of 12738 and 6864.
66
Calculate the highest common divisor of 203810 and 712.
178
What is the greatest common factor of 1840 and 1160?
40
Calculate the highest common factor of 2125 and 6035.
85
What is the highest common factor of 576 and 75104?
32
What is the highest common divisor of 33085 and 104?
13
What is the highest common divisor of 9186563 and 43?
43
What is the greatest common divisor of 2337 and 6273?
123
What is the greatest common factor of 19 and 59261?
19
Calculate the greatest common factor of 2 and 16811.
1
Calculate the greatest common divisor of 16899 and 2451.
129
What is the greatest common divisor of 3369 and 33?
3
What is the highest common divisor of 43344 and 86?
86
Calculate the greatest common divisor of 53522 and 84.
14
What is the greatest common divisor of 136 and 17792?
8
What is the greatest common factor of 2403 and 837?
27
What is the highest common divisor of 182858 and 494?
26
Calculate the highest common divisor of 23940 and 225.
45
Calculate the greatest common divisor of 86 and 858839.
43
What is the greatest common factor of 1583432 and 172?
172
What is the highest common divisor of 696 and 469800?
696
Calculate the greatest common factor of 642 and 6848.
214
What is the greatest common factor of 1805044 and 3732?
1244
What is the highest common divisor of 8 and 3204?
4
What is the greatest common divisor of 39785 and 265?
5
Calculate the greatest common divisor of 19664 and 6752.
16
Calculate the greatest common factor of 2273 | {
"pile_set_name": "DM Mathematics"
} |
common multiple of v and b?
16
Let v = 4826 + -77157/16. What is the common denominator of (-2)/3 + (-1556)/(-120) and v?
80
Let a = -953/9 + 106. Calculate the common denominator of a and 2/40*-3*(-35)/(-18).
72
Find the common denominator of (-18)/(-6) - 73/11 and 118/4*12/54.
99
Let j = -835121874709/2633447960 - 348/5064323. Let u = -2523/8 - j. Let p = 2/13 + u. Find the common denominator of p and 55/14.
70
Let s be (-123045)/15012 + (-4)/(-16). Let j = s + 8/139. What is the common denominator of 2/24*129/2 and j?
72
Calculate the lowest common multiple of 16 and -4*(-8)/(-8)*-18.
144
Suppose z + 6 = -3*p, p = 2*p + 5. Suppose 3*b - 4 = a + 2*b, -2*a + 3*b - 13 = 0. What is the lowest common multiple of z and a?
9
Let n = 62 - 37. Suppose 15 = u - 3*j, j + 4*j + n = 5*u. Suppose -x - 5 + 13 = u. What is the smallest common multiple of x and 1?
8
Let y = -91 + 91. Suppose 49*r - 52*r + 21 = y. What is the smallest common multiple of r and 5?
35
Let y be (-44)/110 + (-951)/10. Let u = -128 - y. Find the common denominator of -63/8 and u.
8
Let k(o) = -o**2 + 10*o - 7. Let w be k(9). Let l = 5 - 0. Suppose -l*j = w - 57. What is the smallest common multiple of j and 7?
77
Let c be 2704/((-6)/6)*(-2)/(-3). Let i = c - -1785. What is the common denominator of i and 74/15?
15
Let b(c) = -c + 5. Let z be b(2). Suppose z*n - 5*r + 340 = 0, -r + 232 = -2*n + 10. Find the common denominator of 41/14 and (n/72)/1*-2.
126
Suppose 603 - 19 = 4*r. What is the least common multiple of r and 16?
1168
Let i(l) = 2*l + 1. Let x be i(-3). Calculate the lowest common multiple of 11 and x/((-10)/8) - -27.
341
Suppose -3*o - 100 = o. Let m = -22 - o. Calculate the smallest common multiple of -4 - -8 - (-6)/3 and m.
6
Suppose -3*j + 4*j + m + 92 = 0, 0 = -2*j - m - 180. Suppose -17 - 8 = -3*r - 2*q, 3*r - 5*q = 32. Find the common denominator of ((-6)/r)/(j/318) and -181/30.
330
Suppose -4*d - 16 = -0*d, 2*o - d = -16. What is the common denominator of (o/(-6))/((-5)/(-2)) and (-190)/28 + (-6)/(-21)?
6
Let p = 30768/751 + 252918531/16522. Let s = 15353 - p. Find the common denominator of s and ((-67)/(-1))/(-19 + 1).
198
Suppose 18*q - 34*q + 30752 = 0. What is the lowest common multiple of q and 2?
1922
Suppose 0 = -2*y + 5*s + 207, -5*y - 3*s + 255 = -309. Suppose -3*m = -y + 39. Let t = -7 - -27. Calculate the lowest common multiple of t and m.
120
Let u = -43 + 12. What is the common denominator of ((-4)/34)/((-6)/u) and 25/6?
102
Calculate the common denominator of (-9)/6*(-19)/(105108/(-328)) and 45/4.
1844
Suppose 2*p + 12 + 16 = -3*r, -4*r - 39 = 3*p. Let f = -2 - r. Calculate the lowest common multiple of f and (-16)/(-6)*(-8 - 171/(-18)).
4
What is the common denominator of (7*4)/((-60)/((-36)/9)) and -137/6?
30
Suppose 0 = 2*w - 3*i - 22, 6*i = 5*w + i - 50. Suppose 2*a - 29 - 3 = 0. What is the lowest common multiple of a and w?
16
Let g be 4635/(-1524) + 2 + 1. Let r = 20343/5588 - g. Let a = -1145/2 - -611. Calculate the common denominator of r and a.
22
Let r = 18 + -11. Suppose -r + 15 = k. Calculate the least common multiple of 1 and k.
8
What is the least common multiple of ((-54)/45)/(1/(-75)) and 90?
90
Let h = 1788 - 28649/16. Find the common denominator of h and 6 - 11 - 110/12.
48
Suppose -2*t + 104 = 2*t. Suppose -u + 34773 = h - 4*u, -5*h = u - 173913. Let s = 834653/24 - h. Calculate the common denominator of t and s.
24
Let r = -12 + 2. Suppose 0 = 4*m - l - 2*l - 3, 5*l - 21 = -2*m. What is the lowest common multiple of m and (-86)/r - (-8)/20?
9
Suppose -4*o - 3 + 19 = 0. Let q(h) = h**3 + 8*h**2 - 15*h - 48. What is the lowest common multiple of q(-9) and o?
12
Let p = 2/8105 + 413239/470090. Calculate the common denominator of 59/6 and p.
174
Let f(q) = 9*q + 346. What is the lowest common multiple of f(-36) and 14?
154
Let k = -2 + -6. Suppose -5*x - 2*w - 1093 - 2777 = 0, -3*x = -2*w + 2322. Find the common denominator of 61/3 and k/(-52) - x/(-130).
15
Let i = -18305/9 + 2039. Find the common denominator of -133/18 and i.
18
Let c = 42/61 + 1643/183. Calculate the common denominator of c and (-3572)/95*(4/(-16))/1.
15
Suppose -x = -3*x - 292. What is the common denominator of x*((-70)/(-24) + -3) and (-3 - -5) + (-11)/(-4)?
12
Let l = 648961/1540 - 4644/11. What is the common denominator of l and -79/28?
140
Suppose 6*p - 2*p - 76 = 0. Suppose 4*l = -p + 239. What is the common denominator of 59/3 and ((-8)/20)/((-5)/l)?
15
Let t = -18541/132 + 1524/11. Calculate the common denominator of t and -91/24.
24
Let k(i) = 2*i + 2. Let g be k(-2). Let p be ((-1)/(-2))/(g/(-4)). What is the lowest common multiple of p/(-3)*-9 - 0 and 2?
6
Suppose r + 22 = -2*z, -4*z + 44 - 8 = -2*r. Let t = r + 30. What is the smallest common multiple of -4 - ((-2)/9 + 932/(-18)) and t?
240
Suppose 2*p = 3*p - 10. Let u be 4/6 - (-4)/3. Suppose -c = u*c - 12. Calculate the least common multiple of c and p.
20
Let h = -6 - -14. Calculate the least common multiple of h and 4*((-376)/(-32) - 11).
24
Suppose -19*r + 20*r = 150. What is the smallest common multiple of r and 66?
1650
Let n be 1*6 - (9 - 6). Suppose -n*t + 15 = -0*t. What is the lowest common multiple of 1 + 15 + (3 - 0) and t?
95
Find the common denominator of 9 + 1 + -9 - 20/33 and 39/5.
165
Let l be (2/3)/((-350)/1623). Let k = l + -112/25. What is the common denominator of (33 + -35)*(50/(-6))/(-5) and k?
21
Let h be -1 - (0 - (-3670)/(-12)). Let v = 34349969/110826 - 11/18471. Let i = h - v. What is the common denominator of -13/3 and i?
9
Let j(m) = -m**2 - 14*m + 8. Let i be j(-12). Suppose h = -3*h + i. Suppose -5*s + 3*o + 148 = -o, 2*o = s - 32. Calculate the least common multiple of h and s.
56
Let u be (-84)/(((-5)/(-1))/(-5)). Let j = -81 + u. Calculate the smallest common multiple of 3 and j.
3
Let n be (-2)/(-3) - 8/12. Suppose n = -6*i + 89 - 17. What is the smallest common multiple of i and 20?
60
Let p(r) = -17*r + 19. Calculate the lowest common multiple of p(-6) and 33.
363
Suppose 0 = 28*n + 163 - 415. What is the least common multiple of 169 and n?
1521
Let q(b) = b**3 - 9*b**2 + 8*b + 6. Let g be q(8). Suppose 9*a - 132 = g*a. What is the common denominator of -3 - 1*(-262)/a and -73/28?
308
Let y(h) = 2*h + 11. Let z be y(-8). Calculate the least common multiple of 4 and (z/15 + 0)*-12.
4
Suppose 3*l + 12 = 0, 0*l - 3 = 5*y + 2*l. Let u(n) = 2*n**2 - 25*n + 14. What is the least common multiple of u(12) and y?
2
Suppose -23 = -4*z + 3*g, 5*z - 3*z + g + 1 = 0. What is the common denominator of 27/5 and z/(-8)*(-22)/(-3)?
30
Suppose -m + 9 = 2*l, 5*l = m - 0*l - 23. Suppose 3*z - m = -5*j, 0 = 4*z + z - j - 31. Calculate the least common multiple of z and 30.
30
Let l(h) = -185*h**3 + h**2 - 2*h + 2. Let v be l(3). Let r = 2721607 + -54332431/20. Let s = v + r. What is the common denominator of -109/6 and s?
60
Let h(b) = 3*b - 6. Let s be h(3). Suppose 4*o - s*x - 5 = -6, 1 = -x. Let v = 4 - o. Calculate the smallest common multiple of 13 and v.
65
Let a = 19 - 13. What is the lowest common multiple of ((-4)/(-6))/(282/54 + -5) and a?
6
Find the common denominator of -2 - 5 - 24710/(-3724) and -19/8.
1064
Suppose 0 = 3*c - 2*r - 151 - 395, 196 = c + 4*r. What is the least common multiple of 1 and c?
184
Suppose 3*v - 71 = 61. What is the smallest common multiple of ((-3)/(-6))/(4 + (-174)/v) and 11?
11
Let i be 33/(-44) + (1 - (-7913522)/440). Let r = -17985 + i. What is the common denominator of r and -51/5?
55
Let i be -3*(0 - 40/12). Let f = -1293559/327118 - 2/14869. What is the common denominator of f and 77/i + (-3 - 0)?
110
Let g(f) = -9*f + 3. Let j be g(-2). Find the common denominator of 51/8 and 1/(-3) - ((-1)/j - -2).
56
Find the common denominator of (44/110)/(24/(-610)) and -5 - -1 - (-108)/(-8).
6
Let k be (-1 - 1651) + (-20)/(-90). Let x = 1654 + k. What is the common denominator of -64/21 and x?
63
Find the common denominator of 87/200 and 41/123*(-111)/(-4).
200
Let z = -3814449 + 1304546407/342. Let l = 300/19 - z. Calculate the common denominator of l and 291/6*(-47)/470.
180
Let g be (-221)/(-4) - (-2)/6. Let i = 163/3 - g. Let m = 4375/208 - 232/13. What is the common denominator of m and i?
16
Suppose w + 12778 = 6*k - 7*k, -k = -3*w - 383 | {
"pile_set_name": "DM Mathematics"
} |
nearest integer?
1447
What is 4788284 to the power of 1/2, to the nearest integer?
2188
What is 3814994 to the power of 1/3, to the nearest integer?
156
What is 54069 to the power of 1/7, to the nearest integer?
5
What is the fifth root of 1105735 to the nearest integer?
16
What is the square root of 3011199 to the nearest integer?
1735
What is the square root of 3735927 to the nearest integer?
1933
What is the cube root of 3972828 to the nearest integer?
158
What is the eighth root of 557335 to the nearest integer?
5
What is 936453 to the power of 1/3, to the nearest integer?
98
What is the square root of 117159 to the nearest integer?
342
What is 421645 to the power of 1/8, to the nearest integer?
5
What is 7065952 to the power of 1/2, to the nearest integer?
2658
What is the cube root of 205376 to the nearest integer?
59
What is the square root of 1002623 to the nearest integer?
1001
What is 3068771 to the power of 1/3, to the nearest integer?
145
What is the seventh root of 656114 to the nearest integer?
7
What is 634326 to the power of 1/9, to the nearest integer?
4
What is the eighth root of 481997 to the nearest integer?
5
What is the square root of 184637 to the nearest integer?
430
What is the cube root of 960812 to the nearest integer?
99
What is the square root of 1705912 to the nearest integer?
1306
What is 99864 to the power of 1/2, to the nearest integer?
316
What is the square root of 330058 to the nearest integer?
575
What is 321804 to the power of 1/2, to the nearest integer?
567
What is the eighth root of 22037352 to the nearest integer?
8
What is the third root of 176168 to the nearest integer?
56
What is the cube root of 8478 to the nearest integer?
20
What is 9928222 to the power of 1/8, to the nearest integer?
7
What is the third root of 1280543 to the nearest integer?
109
What is the square root of 47581 to the nearest integer?
218
What is 2019720 to the power of 1/2, to the nearest integer?
1421
What is 2685624 to the power of 1/3, to the nearest integer?
139
What is the third root of 7183191 to the nearest integer?
193
What is the square root of 402529 to the nearest integer?
634
What is 285678 to the power of 1/2, to the nearest integer?
534
What is the third root of 12361748 to the nearest integer?
231
What is 4720613 to the power of 1/8, to the nearest integer?
7
What is 3516266 to the power of 1/2, to the nearest integer?
1875
What is 1574848 to the power of 1/6, to the nearest integer?
11
What is 110700 to the power of 1/10, to the nearest integer?
3
What is 356822 to the power of 1/5, to the nearest integer?
13
What is 637136 to the power of 1/6, to the nearest integer?
9
What is the third root of 2607144 to the nearest integer?
138
What is 3284901 to the power of 1/2, to the nearest integer?
1812
What is the fourth root of 90588 to the nearest integer?
17
What is the square root of 871090 to the nearest integer?
933
What is 594934 to the power of 1/2, to the nearest integer?
771
What is 440382 to the power of 1/2, to the nearest integer?
664
What is the third root of 1377217 to the nearest integer?
111
What is 596821 to the power of 1/2, to the nearest integer?
773
What is the fourth root of 26308529 to the nearest integer?
72
What is 869041 to the power of 1/3, to the nearest integer?
95
What is 22486 to the power of 1/8, to the nearest integer?
3
What is the square root of 11152 to the nearest integer?
106
What is the square root of 3607285 to the nearest integer?
1899
What is 4432413 to the power of 1/3, to the nearest integer?
164
What is the sixth root of 885959 to the nearest integer?
10
What is the third root of 208737 to the nearest integer?
59
What is 143557 to the power of 1/6, to the nearest integer?
7
What is 42895969 to the power of 1/7, to the nearest integer?
12
What is the ninth root of 239278 to the nearest integer?
4
What is 6606995 to the power of 1/5, to the nearest integer?
23
What is the third root of 32010 to the nearest integer?
32
What is 3382383 to the power of 1/3, to the nearest integer?
150
What is 1362970 to the power of 1/2, to the nearest integer?
1167
What is the ninth root of 843268 to the nearest integer?
5
What is 320243 to the power of 1/2, to the nearest integer?
566
What is the cube root of 549459 to the nearest integer?
82
What is the eighth root of 9820851 to the nearest integer?
7
What is the square root of 148585 to the nearest integer?
385
What is 5788770 to the power of 1/5, to the nearest integer?
23
What is 37969 to the power of 1/4, to the nearest integer?
14
What is 107092 to the power of 1/2, to the nearest integer?
327
What is 2518377 to the power of 1/2, to the nearest integer?
1587
What is 334284 to the power of 1/2, to the nearest integer?
578
What is 2589166 to the power of 1/5, to the nearest integer?
19
What is the seventh root of 27798751 to the nearest integer?
12
What is 875032 to the power of 1/2, to the nearest integer?
935
What is 964462 to the power of 1/2, to the nearest integer?
982
What is 2497326 to the power of 1/10, to the nearest integer?
4
What is 2590717 to the power of 1/5, to the nearest integer?
19
What is 15306385 to the power of 1/3, to the nearest integer?
248
What is 5614251 to the power of 1/6, to the nearest integer?
13
What is the fifth root of 29672420 to the nearest integer?
31
What is 2686430 to the power of 1/2, to the nearest integer?
1639
What is the square root of 3748598 to the nearest integer?
1936
What is 440742 to the power of 1/2, to the nearest integer?
664
What is 21454523 to the power of 1/3, to the nearest integer?
278
What is the cube root of 242970 to the nearest integer?
62
What is the eighth root of 215006 to the nearest integer?
5
What is 42428435 to the power of 1/2, to the nearest integer?
6514
What is the square root of 143137 to the nearest integer?
378
What is 1046021 to the power of 1/2, to the nearest integer?
1023
What is 1107628 to the power of 1/3, to the nearest integer?
103
What is the seventh root of 10743963 to the nearest integer?
10
What is the third root of 5216799 to the nearest integer?
173
What is the square root of 969090 to the nearest integer?
984
What is the sixth root of 857552 to the nearest integer?
10
What is the square root of 589211 to the nearest integer?
768
What is 2017808 to the power of 1/2, to the nearest integer?
1420
What is 1243774 to the power of 1/2, to the nearest integer?
1115
What is 10995898 to the power of 1/2, to the nearest integer?
3316
What is the cube root of 1130919 to the nearest integer?
104
What is the ninth root of 1775284 to the nearest integer?
5
What is 3866974 to the power of 1/5, to the nearest integer?
21
What is the square root of 1310560 to the nearest integer?
1145
What is 20822474 to the power of 1/2, to the nearest integer?
4563
What is 491549 to the power of 1/3, to the nearest integer?
79
What is the cube root of 33638930 to the nearest integer?
323
What is 1230745 to the power of 1/2, to the nearest integer?
1109
What is the square root of 238901 to the nearest integer?
489
What is the fifth root of 3471237 to the nearest integer?
20
What is 130084 to the power of 1/5, to the nearest integer?
11
What is 313157 to the power of 1/3, to the nearest integer?
68
What is 18023788 to the power of 1/3, to the nearest integer?
262
What is 516465 to the power of 1/7, to the nearest integer?
7
What is 2103256 to the power of 1/3, to the nearest integer?
128
What is 109497 to the power of 1/4, to the nearest integer?
18
What is 463754 to the power of 1/3, to the nearest integer?
77
What is the eighth root of 1159671 to the nearest integer?
6
What is the cube root of 1200263 to the nearest integer?
106
What is 5787928 to the power of 1/2, to the nearest integer?
2406
What is the cube root of 73631 to the nearest integer?
42
What is 406325 to the power of 1/6, to the nearest integer?
9
What is the fourth root of 1721240 to the nearest integer?
36
What is 707307 to the power of 1/8, to the nearest integer?
5
What is the cube root of 2326748 to the nearest integer?
133
What is the square root of 3438148 to the nearest integer?
1854
What is the tenth root of 1367674 to the nearest integer?
4
What is 114119 to the power of 1/2, to the nearest integer?
33 | {
"pile_set_name": "DM Mathematics"
} |
3 - 9).
4
-12 + 14 + 9 - 20
-9
What is the value of -3 + 2 - (-17 - -11)?
5
Evaluate (2 - 3) + -1 + 2 + 0.
0
Evaluate 5 + (-1 - (6 - -2)).
-4
Calculate (-7 - (3 + -2)) + 10.
2
What is the value of 12 + -9 - (4 + -1)?
0
What is the value of -1 + 8 + -8 + 5?
4
Calculate -2 - -6 - (-4 + 4).
4
What is -5 + -1 - (-1 + -2)?
-3
Calculate 3 + -1 + 0 - (72 + -65).
-5
What is the value of 2 - (-2 - -15) - -8 - 7?
-10
Calculate -1 + -2 - (-7 + 10 + -1).
-5
-5 - (-1 + -3 - 0) - 3
-4
-12 + 7 + (7 - 4)
-2
Calculate (-2 - -3) + (3 - 0 - 0).
4
What is -2 + (1 - (0 - 1)) + 1?
1
(5 - (0 - -3)) + 2
4
Calculate (4 - -4) + 0 + (-3 - 1).
4
What is -4 + (-2 - (-5 - 1)) + 4?
4
What is the value of 14 + -7 + -7 + 2?
2
1 + -2 + 3 + -3
-1
What is -1 + -3 + 2 + -34 + 36?
0
What is (-13 - -8) + 5 + 1?
1
Calculate (2 + -11 - -8) + -4 + 1.
-4
What is the value of 6 + 1 + (-5 - 0)?
2
Calculate (4 - (4 - -1)) + 2.
1
What is the value of (-5 - (-4 + -3)) + -7 + -1?
-6
What is the value of (1 - 1 - -4) + (3 - 4)?
3
Evaluate (17 - (20 - 6)) + 5.
8
What is -6 + 1 + (7 - 1)?
1
What is 1 + -6 + (-3 + 1 - -7)?
0
Evaluate 0 + 0 + -40 + 42.
2
Evaluate (-3 + 6 - 4 - -4) + 1.
4
What is 3 + -2 + 4 + -5?
0
What is 1 - (4 + -1) - (7 + -12)?
3
5 - (5 + -3 + 1)
2
Calculate (-1 + 4 - 4) + 1 + 2.
2
What is (-1 - 0) + (-1 - 4)?
-6
What is the value of 4 - (4 + -4 + 5)?
-1
Calculate 54 + -66 + (2 - 4) + 7.
-7
Calculate 195 - 207 - (1 - 5).
-8
What is -16 - -22 - (5 - -2)?
-1
What is the value of (47 - 43) + -2 + -1 + 0?
1
What is the value of (1 - 2 - -2) + 4?
5
Calculate -6 + 1 + 4 - (-4 - -1).
2
What is 1 + -2 + -25 + 27?
1
(-8 - -7) + (-9 - -1)
-9
Calculate 1 + -7 + 5 - (2 + -6).
3
Calculate -1 + -1 + 6 - (2 - -8).
-6
What is the value of (5 - 4 - (-1 + 3)) + -4?
-5
(-3 - (0 + -3)) + -6 + 10
4
4 - (-6 + -4 + 12)
2
Evaluate -1 + -3 + 2 + 8 + -10.
-4
What is the value of 2 + 3 + (-3 - -1) - 12?
-9
1 - ((8 - 11) + 10)
-6
What is 8 - 0 - (-25 - -29)?
4
Calculate (-5 - -2) + 0 - (-31 + 20).
8
What is the value of 20 - 24 - (2 - 9)?
3
Evaluate -8 + -1 + 4 - -8 - 3.
0
What is 8 + -4 - -1 - 1?
4
Calculate 0 - -4 - (9 - 6).
1
Calculate 2 - (-11 + (-12 - -24)).
1
What is 3 + -1 + (6 - 2)?
6
-10 - -6 - (2 + (-5 - 4))
3
12 - 7 - 5 - 7 - -2
-5
What is (-5 - -9) + 0 - 5 - 1?
-2
What is -4 - ((1 - -2 - 7) + 3)?
-3
-21 + 30 + -13 + 0
-4
What is the value of -11 - (7 + 0 + -13)?
-5
Evaluate 7 - (15 + -4 - (13 - 18)).
-9
What is 1 + (-8 + 6 - -2)?
1
Calculate -2 + -2 - (-11 + 11).
-4
What is -1 - -3 - (4 + -2 + 0)?
0
What is the value of -9 - (-3 - -8) - -12?
-2
What is 4 + (-3 - 1 - -8 - 7)?
1
What is 3 - (-4 - (-3 + -1 + 1))?
4
Calculate 3 + (-5 - -9) + -2.
5
Calculate (45 - 42) + -8 + 1 + 1.
-3
(5 + -11 - (-6 + 0)) + 0
0
What is -5 - (4 + -5) - -5?
1
Calculate (-2 - -1) + (0 + 3 - 1).
1
Calculate -6 + 2 + 4 + 0.
0
Evaluate (4 - (-5 - -17)) + 4.
-4
Evaluate 1 + (2 - (1 + 0)) - 3.
-1
Calculate 3 + -14 + 6 + 3.
-2
What is the value of -5 - (0 + -5 + -1)?
1
What is 12 + (11 - -1 - 24)?
0
What is -5 + (1 + -1 + 2 - -5)?
2
(-5 - 0 - (-4 - 0)) + 5
4
What is (-10 - -11 - (3 + 0)) + -1?
-3
What is the value of -15 + 16 + 4 + 0?
5
What is 1 + 1 + -7 + 237 + -230?
2
Evaluate (0 - (-10 + 3)) + -3 - 1.
3
Evaluate 5 - (-5 + 7) - (-2 - 3).
8
Calculate (0 - (16 - 8)) + -1 + 5.
-4
2 + (-9 - (-5 - -1)) + 8
5
What is the value of 5 - (2 + 3) - 12 - -5?
-7
What is the value of 1 + (-10 - 0 - (-10 + 5))?
-4
-6 - (-8 - (-7 + 12))
7
What is -7 + (2 + -8 - -17)?
4
What is the value of 0 + (2 + 6 - 8)?
0
What is the value of 0 + (0 - 0) + (0 - -2)?
2
Calculate 5 - (11 + (-4 - 1)) - -1.
0
What is 3 - 0 - (-3 + 6 - 7)?
7
What is the value of ((-2 - 0) + 2 - 3) + 8?
5
Evaluate 9 + -8 - (-4 - (-1 + 1)).
5
-5 - -2 - (3 - 2)
-4
What is -2 + (10 + (5 - 4) - 5)?
4
-7 + 20 - (9 - (-6 - -8))
6
What is the value of 1 - 6 - (5 - 6)?
-4
What is the value of -13 + 2 + (-6 - -11) - -7?
1
(-6 - -3) + 0 - 0
-3
Evaluate 9 + 9 + -7 + -4.
7
Evaluate 0 + (-2 - -4) - (-28 - -24).
6
Calculate -3 - (0 - (7 - 3)).
1
What is the value of -7 + -1 + 1 - (407 - 407)?
-7
Calculate -8 - (-8 - (-7 + 7)).
0
Calculate -1 - -2 - (11 - 12) - 3.
-1
Calculate (-1 - -2 - 3) + 3 + 0.
1
What is (-4 - -1 - 2) + 4 + 0?
-1
What is the value of (-2 - -7) + -12 + (8 - 8)?
-7
Calculate (0 - -1) + (-11 - (-22 - -11)).
1
(12 - (5 - 0)) + -1 + -1
5
Evaluate -3 + -4 + (-5 - -5) + 13.
6
Calculate -2 + -5 + 40 + -39.
-6
Calculate (-7 - -12 - 1) + -3 + 0.
1
What is the value of -6 - -13 - 16 - -8?
-1
-7 + 10 + (6 - 7)
2
What is (-2 - 3) + -3 - -5 - 1?
-4
Evaluate (0 - (6 - 0)) + 3.
-3
Evaluate -6 - -1 - (2 + -2).
-5
(-1 - -2) + 19 + -23
-3
Evaluate 2 - 4 - 2 - -9.
5
0 - (-2 - (3 + 2 - 12))
-5
Calculate 10 + -12 - (1 - (8 + 0)).
5
(-2 + -1 - (12 - 14)) + 7
6
What is 2 + 2 + -5 + 0?
-1
-9 + 7 - (-1 + 5)
-6
What is the value of (-8 - (5 - 7)) + 6?
0
Calculate -5 + -6 + 4 - (1 + -1).
-7
What is the value of 0 + -3 + -37 + 36?
-4
What is the value of -1 + -2 + (5 - 1) - -4?
5
What is (-4 - 2 - (5 + -13)) + 6?
8
Evaluate 0 + (4 - 4) - (-3 + 6).
-3
What is 1 + (-1 - 1) + -14 + 20?
5
-9 + (-1 - (-4 + -1)) + 0
-5
Calculate 2 + -3 + (-16 - -19).
2
What is -35 + 33 - (0 - 10)?
8
What is -2 - (-3 - (4 + (-5 - 2)))?
-2
What is the value of 12 + 1 + -5 + -3?
5
(1 - -1 - (4 + -2)) + 5
5
Calculate 8 - (8 - 2) - (-1 + -1).
4
What is the value of -2 - (4 + -15 + 5)?
4
Evaluate (2 - 0) + (5 - (-3 + 6)).
4
What is the value of (-2 + 1 - -2) + 3 + 0?
4
What is the value of (-1 - 5) + 23 - 10?
7
Calculate (-4 - -2) + -1 - (40 - 38).
-5
What is the value of (-1 - 1) + 3 + -2?
-1
What is the value of (2 - 5) + -6 - (-5 - -1)?
-5
What is -2 + -8 + 8 - 6?
-8
-4 + 2 + 1 + -4
-5
Evaluate 3 + 1 + -3 + (-4 - 0).
-3
5 + (1 - (0 + 9))
-3
What is 5 + -7 + 1 + 1 + -2?
-2
What is 6 + -1 - (-1 - -7) - -2?
1
Evaluate -15 + (-8 - -11 - -7).
-5
8 + -1 + -5 + -4
-2
Calculate 0 + 1 + (-12 - -15 - 4).
0
What is 21 - 37 - (-5 - 7)?
-4
Calculate (-3 - -5) + 4 + -2.
4
Evaluate (5 - 9) + 6 + 3.
5
-2 + (11 - 7) + -8
-6
What is the value of (-11 - (-5 + 4)) + 6?
-4
What is the value of 7 - (4 + -3 + 3)?
3
Evaluate 4 - (6 + -4 + -1).
3
What is -5 + 18 + -8 + -4?
1
Calculate -6 + (6 - 0) + -2 + 1.
-1
Calculate (-6 - -14) + (0 - 2).
6
9 - (-4 - (5 + -18))
0
(-3 - 3) + 3 - (-8 - 0)
5
What is the value of 0 + 4 + (-4 - 2)?
-2
Evaluate (-1 - (-4 - -3)) + 2 + -7.
-5
Evaluate 11 + (-1 + 0 - 3).
7
Calculate (3 - (-2 + 7 + -4)) + -12.
-10
Calculate 18 - 17 - (-3 + (-3 - -2)).
5
What is -5 - (1 + -6 - 1)?
1
What is 0 + -1 + 0 - -4?
3
What is 3 + 0 + -1 + (-5 - 0)?
-3
Calculate (-1 - -2) + -4 + 4 + 5.
6
-9 + 10 + (-4 - 0)
-3
-8 + 18 + -15 + -1 + 1
-5
What is the value of 3 + (2 - (2 + 0 + 1))?
2
Evaluate -5 + 1 + -4 + 16.
8
What is the value of -1 - 1 - (-5 - (3 + -14))?
-8
12 + -10 - (-9 + 5)
6
21 + -14 + 5 - 4
8
Calculate -9 - (4 - 8 - 2).
-3
What is (-26 - -31) + (-9 - 0)?
-4
Calculate -8 - (-11 - -21) - (-2 + -5).
-11
Calculate -2 + 0 - ((9 - 8) + -2).
-1
Evaluate 2 + (-3 - (4 - 3)).
-2
Evaluate -5 + 7 + -3 - 4.
-5
Evaluate 1 + 2 + (-5 - 2) + 3.
-1
What is the value of -4 + (-5 - -3) + 9?
3
What is 3 + -7 + (-7 - -6) + 1?
-4
Calculate 1 - (2 - (4 - 5) - -1).
-3
Calculate -4 + (-1 - -1 - -1) - 3.
-6
What is the value of -6 + (8 - 4) + 6?
4
Evaluate 5 - ((-8 - -7) + 4 + 0).
2
Calculate -2 + 7 + -5 + 0.
0
Evaluate -64 + 61 + -1 + 10.
6
Calculate -3 + -4 + 6 - 1.
-2
Evaluate (3 - 0 - 5) + (-3 - 1).
-6
-1 - (2 + -5 + 3)
-1
What is the value of -10 + (11 - 7) + 7?
1
Calculate 6 + 4 + -7 + 1 + -4.
0
-2 - (-6 + 2 + 2 + 1)
-1
Calculate -5 + -4 + 5 + 3.
-1
What is the value of -5 - -5 - (7 - (8 + -4))?
-3
Calculate (-2 - -6) + (7 - 5) + -5.
1
6 + (-8 - (6 - 4)) + 6
2
What is the value of (0 - (3 - (0 - 0))) + 0?
-3
What is -1 - (-2 + 8) - (-1 + -2)?
-4
What is the value of 1 + (1 - -4 - (-1 + 2))?
5
What is 0 + -2 - (9 - (12 - 0))?
1
(-10 - (-13 - -5)) + -6
-8
What is the value of -3 + (0 - -4) - (-9 + 6)?
4
What is -4 + (-1 - -2) - (-110 - -112)?
-5
Calculate 9 + -14 - (2 - 10).
3
Evaluate 6 + 5 - 6 - 3.
2
What is the value of (-5 - (5 + -16 + 1)) + -3?
2
What is the value of 7 - 2 - (-12 - -13)?
4
Evaluate (-1 - 1) + (-4 - -2).
-4
What is the value of 13 + -8 - (1 - -1)?
3
What is the value of -6 + 3 - (7 + (-5 - 0))?
-5
What is (-4 - -10) + | {
"pile_set_name": "DM Mathematics"
} |
23
What is the value of 76/570*(-189)/18?
-7/5
What is the value of (-2864)/3580 - (-123)/135?
1/9
Calculate -328*12/288 - (-2)/(-6).
-14
Evaluate (286 - 290) + 1*-1.
-5
-10 + 87/(-8)*356/(-267)
9/2
What is (2/(-24))/((-1215)/432 - -3)?
-4/9
What is (((-3)/(-5))/(1104/736))/(24/15)?
1/4
What is the value of (-2 - 20/(-15))/(8/156)?
-13
Evaluate 3*-3*(-14)/(-42).
-3
What is the value of (-6)/10 + 7914/6595?
3/5
What is ((28/(-448))/(3/18))/(3/(-24))?
3
What is ((3/(-22))/(-1))/(-1544 + 1541)?
-1/22
What is the value of 3*((-363)/(-90) + -4)?
1/10
What is 3*((-754)/39 + 12)?
-22
Evaluate ((-49)/(-294))/(((-15)/10)/(-3) - 0).
1/3
-10 + 8/2 + -4 + 1232/124
-2/31
Evaluate (44/(-8) - -3)/(((-143)/(-44))/(-13)).
10
6/(-15) - (0 + 1)*1116/60
-19
Evaluate ((-304)/6*(-96)/128)/(-1 + 0).
-38
Calculate (12 - -2) + 462 + -498.
-22
Calculate 14/(-49) - (-250)/14*4/5.
14
(-78)/7*-1 + -538 + 526
-6/7
Evaluate (-50)/(-375)*(-25)/55.
-2/33
Evaluate (-5 - 30/(-4))/((-14)/28).
-5
What is the value of (4/10)/(1 + (-35)/(-25))?
1/6
(42/(-18))/(-5 + (-184)/(-36))
-21
Evaluate (-28)/(-52)*21/(-147).
-1/13
Evaluate -2*(18/96*24 + 9).
-27
Calculate 4/(-11)*((-220)/80 - 4/(-16)).
10/11
What is the value of (-13 + 539/42)*(2 - 1)*-2?
1/3
What is -5 - -3 - ((6 - -2) + (3 - -2))?
-15
((-44)/(-6237)*21)/((-4)/(-12))
4/9
What is (5/(-2))/(233 + -250 + 103/6)?
-15
Evaluate -47 + 162573/3619 + (15/11 - 1).
-12/7
What is the value of 2548/(-637)*(-1)/(-24)?
-1/6
(-510)/(-204)*2/(-10) - 1/10
-3/5
Calculate (((-221)/(-26))/17)/2.
1/4
-6 + 15 + -16 + -4 - -9
-2
((-182)/(-26))/(-84) - 10/(-56)
2/21
What is ((-134)/(-616) - (-192)/(-672))*116 - -9?
12/11
What is the value of (-3)/(-7) - (14/42 - 112/(-147))?
-2/3
What is the value of (1/11 + (-168)/396)*39?
-13
What is 7 + -20 + 8/(48/(-42))?
-20
What is 32 + (-3135)/76 - (0 + -7)?
-9/4
Evaluate 0/(-375) - 2/19*-3.
6/19
6/189*(-2124)/354
-4/21
What is the value of 1*0*5/45 + (-30)/(-70)?
3/7
What is (66/(-15) + 4)*8*42/(-224)?
3/5
66/(-1947) - 52440/(-1416)
37
Evaluate (24/36)/((-74)/3).
-1/37
(2835/18)/(-35)*16/6
-12
Evaluate ((-435)/15 - -21) + 1*2.
-6
(32/144)/(220/(-90))
-1/11
What is -12 - ((-70)/(-7) - 24)?
2
What is the value of (3/(-104))/((-3519)/184 - -19)?
3/13
Evaluate 4797/(-7995)*-1*1.
3/5
((-12)/(-120)*5)/((-4)/(-12))
3/2
Evaluate (-168)/(-147) - ((-324)/70)/(-3).
-2/5
What is (6 - -11) + 182655/(-10701)?
-2/29
What is the value of 49/((-833)/(-187)) + (0 - 0)?
11
0 + 3 + -381 + 386
8
Evaluate -1 + 144/((-48)/(-4)).
11
(-5)/2*(-2)/(-10) + 11233/(-478)
-24
What is the value of 1490/(-447)*(4 + 32/(-20))?
-8
30/4 - (-1968)/(-288)
2/3
8 - (((-8439)/18)/(-29) + -8)
-1/6
What is 2981/232518*((-6)/4 + 0)?
-1/52
(1 - (-242)/(-187))*17/(340/16)
-4/17
What is the value of 4/(-51)*((-230)/23 + 13)?
-4/17
What is the value of -19 - -4 - -31 - 23?
-7
Evaluate ((-97)/(-291))/((-14)/9).
-3/14
What is 1/(-1) + (-20)/(-2) + (-51 - -45)?
3
What is the value of (2 + (-112)/(-42))*(-18)/21?
-4
Evaluate (-2 - (3/9 + -1))/((-130)/(-390)).
-4
(-3 + 3 + 2)*(-10 + (-420)/(-50))
-16/5
What is the value of ((-218)/(-327))/(-29 + -5)?
-1/51
Evaluate (730/(-15))/(12/(-2)) + (0 - 7).
10/9
What is (-3)/21 + 530/1456 + 18/(-48)?
-2/13
(-78)/(-21) + (-412)/103
-2/7
What is the value of 1775/100 - (16 - -3)?
-5/4
What is (-9350)/(-125120) - (-1)/(-23)?
1/32
Calculate (-3 - 3)/(-6) + (-12)/(-6).
3
What is the value of 5 + 4*((-985)/220 - (0 - 3))?
-10/11
2*3 + (76/1463)/((-4)/434)
4/11
What is the value of 8/2 - 1 - (-30997)/(-10481)?
2/47
What is the value of (-14)/21*8/(-64)*-132?
-11
(6 + (-91)/14)*(-5)/(-15)*4
-2/3
Evaluate (159 - 1)*8/(-80) + 18 + -8.
-29/5
Calculate (-3 - -2)/((126/28)/9).
-2
Evaluate (-25 + (2 - 2))*(-1766)/4415.
10
11/((-110)/(-64)) + (4 - (-154)/(-35))
6
92/(-1150) + 27/25 - -33
34
Evaluate 1/(52/(-8) - -8) + 52/12.
5
What is the value of (-950)/(-855)*((-3)/2)/1?
-5/3
What is (-2)/(-27) + (-5200)/(-2700)?
2
What is 1*(26/(-11 + -15) + 29/27)?
2/27
What is (3/(-7))/((-1404)/1008)?
4/13
What is the value of (204/(-45))/(22/55) + 9?
-7/3
What is 1/7*(31 + (-8640)/280)?
1/49
What is the value of (-1 + 2/6)*(-84)/(-112)?
-1/2
What is the value of ((-16224)/(-68))/12 + -20?
-2/17
(-216)/378 + ((-6)/7 - -1)
-3/7
Calculate 58/(-6525) - 1/9.
-3/25
(-2790)/(-372)*(-36)/15
-18
Evaluate 7/8*14 - ((-4559)/(-188) - 25).
13
What is (-564)/9870*20/16?
-1/14
What is (941 - 939)*(-2 + 1)?
-2
What is the value of 190/(-200)*-4 - 3 - (0 - -1)?
-1/5
What is 10/(-135) + 9460/2322?
4
(-1)/((-6)/64) - -3*(-17)/(-153)
11
Calculate 2187/(-162)*(-4)/18.
3
-12 - (-4)/(-10)*(-25550)/840
1/6
Calculate 3184/8400*-5 + (-8)/(-84).
-9/5
What is the value of 10 + 12/(-18)*27?
-8
Evaluate (-3)/(-5) + (-3857)/(-7105).
8/7
What is the value of (24/3 - 21) + (-13 - (1 + -9))?
-18
Calculate -3*136/360 + 4/(-24)*4.
-9/5
(-40)/(-980)*(-4 - -18)
4/7
What is 13/312*1/(-3)*-9*-3?
-3/8
What is (2 - (27 + -26))/(-1 + (-27)/(-21))?
7/2
What is the value of (-2052)/855*10/54*2?
-8/9
(42 + -44)/(2/7)
-7
((-2)/(-6))/((-79)/395)
-5/3
Calculate 404/345 - 1608/(-55476).
6/5
Evaluate 8*(-42)/(-560)*(-165)/(-9).
11
What is the value of (2/9)/(11808/1296)?
1/41
What is the value of (-792)/(-660)*(-90)/4?
-27
What is (-4)/(-7)*(-6 - (14 + -27))?
4
Evaluate 9*6/486 + 4/4.
10/9
Calculate 4/(-3)*(-21)/9*(-675)/(-350).
6
Evaluate (-39)/728*8*(-2 + 4).
-6/7
Calculate 2 + (1275/(-153) - (-4)/3).
-5
(171/171)/(2/(-8))
-4
Calculate -6 + 612/105 + 170/(-119).
-8/5
What is the value of 572/(-572)*2/11?
-2/11
What is the value of 2/18 + 3844/558?
7
(-175)/14*(103 - 101)
-25
Calculate (13/6)/((-101)/606).
-13
Calculate (-7)/2*((-5246)/(-301) + -18).
2
-3 - (21 - (-2737)/(-115))
-1/5
What is the value of (-41 - -54) + (-237)/18?
-1/6
Evaluate (-4)/((-80)/10)*(-2)/5.
-1/5
What is the value of (2*(-7)/14)/((-455)/585)?
9/7
What is the value of (-26 - (-48)/(-12))*((-6)/9 - -1)?
-10
What is the value of -3 + 7/4*(15/7 - 3)?
-9/2
What is (24/(-28))/(36/18) - (-123)/(-7)?
-18
What is the value of (1 + -15)*((-6)/(-44))/((-4776)/2189)?
7/8
Evaluate ((-4592)/(-615))/(120/90).
28/5
Evaluate (200/84 - 2)/((-72)/84).
-4/9
What is the value of (-1968)/(-176) + (7 - 18)?
2/11
Evaluate (-19)/(-171)*315/(-42).
-5/6
What is the value of (4/3)/((-27)/(1944/(-240)))?
2/5
What is ((-3655)/170 - -21)*((-46)/(-50) - 1)?
1/25
What is the value of (-14319)/(-999) + 1/(-3)?
14
Evaluate 3/(-6)*(-162 - -184).
-11
What is (21 + 2331/(-105))*5?
-6
Evaluate (-2134)/(-13871) - (8/(-23))/(26/(-5)).
2/23
(2/20)/(-1 - (-143)/132)
6/5
What is the value of (3/15)/(1036/(-70) + 12)?
-1/14
((-12)/((-336)/413) + -13)/((-3)/24)
-14
Calculate (3/(-39))/((-855)/7410).
2/3
Calculate 2/84 + (24/(-456)*0)/4.
1/42
Calculate (168 - 43)/(9 + -4).
25
Calculate ((-117)/(-12) + -5)/(6/(-24)).
-19
What is (-2)/((-19)/(-3) + (-60)/300 - 6)?
-15
Evaluate ((-6)/72*16)/(4/(-18) + 0).
6
518/444 + 231/(-36)*-2
14
What is the value of 200/32*-4*(-102)/(-85)?
-30
(-814)/(-121) - (20 + (-39 - -26))
-3/11
What is 12 + -4 + (-21)/7?
5
Evaluate 5 + -2 + (-34 - (-16 + 2)).
-17
Calculate (-1)/(-3) - (57392/612 + -93).
-4/9
What is the value of (-10 + 5 - -6)*(-7)/(-63)?
1/9
What is the value of -8*((-270)/136 + (4 - 2))?
-2/17
(59 - 24) + (-5 - (-16)/4)
34
What is the value of 10*(-5)/(-200) - (-2)/(-8)?
0
9/3*(-535)/2247
-5/7
What is the value of 8/90 + ((-207)/414)/(5/2)?
-1/9
(-50)/60*304/(-570)
4/9
Calculate -38 - -29 - (-219)/24.
1/8
What is (18/16)/(5/(1225/147))?
15/8
What is the value of (7*15/882)/(10/8)?
2/21
What is the value of (-9)/((-9)/(-11)) + -39 + 29?
-21
What is (-15876)/1575 - 44/(-880)*(-16)/(-10)?
-10
What is the value of 138/30 + -5 - 6*72/(-80)?
5
(-28)/(-1008)*9 + (-1700)/528 + 3
1/33
Evaluate -66 + 17*(-902)/(-374).
-25
Evaluate -30 - ((-64)/(-240) + 1926/(-135)).
-16
What is the value of 2*(-30 - 9)*1/6?
-13
What is the value of -2 + 60/(-6)*6/12?
-7
(99/(-165))/(15/100)
-4
Evaluate (-36)/(-6*((-416)/24 + 17)).
-18
What is (-10 - 0)*226/(-1130)*(-50)/4?
-25
Evaluate -9 + (-24 - -63) + -24.
6
What is the value of (-17)/(-35) + 11 + 994/(-49) + 9?
1/5
Calculate (63/14)/(-9) + (-4)/(32/(-44)).
5
What is (4/(-64))/(1554/(-252) + -1 + 7)?
3/8
Evaluate (-26 + 23 - (-11 + 1)) + (-5980)/828.
-2/9
Evaluate (-14)/(-260) - 1/(58/4 - 8). | {
"pile_set_name": "DM Mathematics"
} |
asing order.
0.4, j, d, -2/5
Let c = -22518.2 - -22518. Let b = -31/2 + 16. Sort -1.4, -1, c, b in ascending order.
-1.4, -1, c, b
Let c = 3007 - 3007. Put -8, -314, c, 2 in descending order.
2, c, -8, -314
Let i be 4/(-16)*1/((50/(-1015))/10). Sort i, 4, -1 in descending order.
i, 4, -1
Let q = 77.288 + -1.588. Let z = 76 - q. Let m = 13 - 13.5. Sort 5, m, -0.4, z.
m, -0.4, z, 5
Let x(n) = -3*n**3 - n. Let l be x(-1). Suppose -2*o - 2*j = -80, -o - 3*j + 160 = 3*o. Let t be (-5)/o*l*4*1. Sort 2, t, 4, 3 in descending order.
4, 3, 2, t
Let l = -23401 + 23401.4. Put -5, l, -5690 in increasing order.
-5690, -5, l
Let h(i) = i**2 + 64*i + 123. Let q be h(-2). Let k be (4/10)/(9/(-855)). Let x be (2/(-4))/((-1)/k). Sort x, -2, q in descending order.
q, -2, x
Let s be (2 - 6/(-21)) + -2. Let j be (-19)/(-2) - (-1614 + 1624). Sort 0, s, j, 3.
j, 0, s, 3
Let v be (5 - 7)*(-1 + 11). Let d be (-30)/(-8) + (-5)/v. Let k(f) = f**3 - 23*f**2 - 53*f + 69. Let j be k(25). Sort d, j, 2, 5 in decreasing order.
5, d, 2, j
Let v be (-3 + 63/35)/((-3)/(-10)). Suppose 20 = 5*t - 2*j, 4*j = 5*t - 37 + 7. Sort 11, t, v in decreasing order.
11, t, v
Let z(o) = 904*o - 3618. Let k be z(4). Put 0.17, k, -1/28 in increasing order.
k, -1/28, 0.17
Let b be 0 - (6 - (-327)/2). Let c = b - -168. Let j = 61/5 - 12. Sort j, -23, c, -4/9 in ascending order.
-23, c, -4/9, j
Suppose 0*w - 15 = -3*w. Let p(r) = -r**3 + 9*r**2 - 8*r - 4. Let j be (4/3)/(3/18). Let k be p(j). Sort 3, k, -3, w in ascending order.
k, -3, 3, w
Suppose -4*u = -h - 11, 4 = -5*h - 11. Suppose -u = 2*c + 6. Let w = 33/8 + c. Put w, -3, -5/4 in decreasing order.
w, -5/4, -3
Let y = -0.7 - -0.2. Let f = -3249 - -2262. Let l = 985 + f. Sort l, -13, y, 1 in decreasing order.
1, y, l, -13
Let m(v) = -231*v + 234. Let q be m(1). Sort q, 0, 5, 97 in increasing order.
0, q, 5, 97
Let o be 2/(-10) - (-1)/(-5). Let p = -237/4 + 59. Let y = -1097/1795 - -4/359. Sort p, y, o, 4 in descending order.
4, p, o, y
Let x(r) = 2*r**3 - 2*r**2 + 1. Let y be x(-1). Let b = -6.3695 + 1.3695. Put y, b, 0.9, 5 in descending order.
5, 0.9, y, b
Let p be (-10)/70 + (-3191)/(-7). Let u = -456 + p. Put 2, -1, u in ascending order.
-1, u, 2
Suppose 5 = -5*r, -6*n - r = -9*n + 7. Put n, 0, 867, 3 in descending order.
867, 3, n, 0
Let d(a) = -4*a - 99. Let z be d(-25). Suppose 5*l = -5*l. Put l, -4, z in decreasing order.
z, l, -4
Let o be (-16 - 1 - -9 - -12)/58. Sort 0.082, o, -2 in descending order.
0.082, o, -2
Let g = 3002/7 + -429. Let l = 20 + -19.8. Put l, 2, g in ascending order.
g, l, 2
Let a be -5 - (-3)/((-15)/40). Let c = -3 + 0. Let j be 9/(-27) + a/c. Put 3, 2, -4, j in descending order.
j, 3, 2, -4
Let d be 0 + 8*(-5)/(-10). Suppose 4*f = 9*f + 5. Let v(h) = h**3 - 20*h**2 + 2*h - 44. Let j be v(20). Sort j, 1, d, f.
j, f, 1, d
Let o = 6174 - 6177. Sort -5, 1, 4, -17, o in decreasing order.
4, 1, o, -5, -17
Let y = 3.006 + -7.006. Suppose -5*z = -2*i - 67, -z = -5*z + 5*i + 40. Let p be (-33)/(-5) - (-6)/z. Sort p, -2, y, 3.
y, -2, 3, p
Suppose 2255*n - 2165*n = 1890. Let r = -0.8 + -0.2. Put 2, n, r in decreasing order.
n, 2, r
Let p = -7289 - -7295. Sort 2, p, -1244 in ascending order.
-1244, 2, p
Suppose -3*q - 2 - 7 = 0. Let h(g) be the first derivative of -3*g**4/4 - 2*g**3 + 2*g**2 + 4*g + 1183. Let k be h(q). Sort 2, 5, k.
2, 5, k
Let u be 1/34 - 30732229/(-16082). Sort -2, u, 4 in ascending order.
-2, 4, u
Let r(m) = -84*m - 2315. Let s be r(-28). Sort -1, s, -12 in descending order.
s, -1, -12
Let f(x) = -x**3 - 4*x**2 + 4*x - 5. Let a be f(-5). Let h be (8/12*-24)/(11 - 15). Sort a, h, -20 in increasing order.
-20, a, h
Let l(v) = -v**2 - 26*v + 44. Let q be l(-39). Put 2, -5, q in descending order.
2, -5, q
Let m be 2 - 3 - 26/(-24). Let f = 1117 - 1116.9. Sort -0.1, m, f, -1 in ascending order.
-1, -0.1, m, f
Let b be 1 + (-2)/3 + 6/(-18). Suppose m = -m - k + 1, b = -3*m - k. Put m, -4, 1/5 in descending order.
1/5, m, -4
Let j = 1187 + -1185. Sort 1/4, j, -549.
-549, 1/4, j
Let b = 6137/3 - 2046. Let y = 0.2 + -0.3. Let m = -372 - -1126/3. Put b, y, m in ascending order.
b, y, m
Let z = 0.544 - -14.456. Let k = 3.8 - 2.1. Let d = -1.2 + k. Sort d, z, 0.4 in decreasing order.
z, d, 0.4
Let n = 42.614 - 42.214. Let z = -2.6 + 4. Sort -3/5, -0.5, n, z in ascending order.
-3/5, -0.5, n, z
Let p = -0.00494 - 0.13506. Put 2/115, -2, p in increasing order.
-2, p, 2/115
Let x = -1707 + 1707. Put -429, x, 2, -2, 1 in decreasing order.
2, 1, x, -2, -429
Let w be (-4)/(-15) - 4/(-12). Let v(o) = o**3 + 14*o**2 - 13*o + 33. Let t be v(-15). Let l be 3 - (t/24*53 + -4). Put l, w, -1/2 in ascending order.
-1/2, l, w
Suppose -32 = -40*c + 44*c. Let j be ((-3)/(-6))/(c/432). Sort 5, 4, j in increasing order.
j, 4, 5
Suppose b = 4*g - 2, -10*g = -5*g - 3*b + 1. Let u = 116 + -119. Sort -1/3, 0.07, u, g in increasing order.
u, -1/3, 0.07, g
Let w = 0.019 - -0.241. Let i = w + 0.74. Let p be 13/11 + (-2)/2. Put i, p, 2/13 in ascending order.
2/13, p, i
Suppose 0 = 4*p - 2*u + 143 - 145, -p = -u + 3. Let m be (-1 + 3)/1*-1. Sort p, m, -1 in decreasing order.
p, -1, m
Let g be (-62)/(-15) - 4 - (-462)/(-90). Put 4, 1370, g in decreasing order.
1370, 4, g
Suppose -6*t + 648 - 636 = 0. Let d(v) = 2*v**2 - 4*v - 8. Let x be d(3). Put x, t, 103, 3 in increasing order.
x, t, 3, 103
Let y(h) = -h**3 + h**2 + 2*h - 2. Let b be y(-4). Let f = 1457.53 + -1452.53. Sort b, 3, -2/7, f.
-2/7, 3, f, b
Let k = 3 - 0. Let s = k + 4. Let h = 720 + -722. Sort -4, h, s.
-4, h, s
Suppose 27*s = -4*s - 1860. Let m be ((504/s)/14)/(2/10). Put 2, m, -9 in decreasing order.
2, m, -9
Let b = -8461 + 8458. Put b, -17, -7 in increasing order.
-17, -7, b
Suppose -4 = 6*a - 5*a. Suppose -139 = 5*i + 2*v, 0 = -3*v - 3 - 3. Let p be 0/3*2/4. Sort 1, p, a, i in ascending order.
i, a, p, 1
Let u = -29 - -29. Let o = -5 + 8. Suppose 5*s + 0 = -5*a - 10, 5*s = 5*a. Sort a, o, u.
a, u, o
Suppose 0 = t + 5*r - 20, 0 = -284*t + 286*t - 2*r + 8. Put -2/5, t, -14, -0.5 in ascending order.
-14, -0.5, -2/5, t
Suppose -17*m = -16*m + 6, 0 = -6*n - m - 36. Put 0, 122, -2, n, 3 in decreasing order.
122, 3, 0, -2, n
Suppose 24 = 50*x + 74. Sort -103, x, -5.
-103, -5, x
Let i be (-4)/(-2)*1 + -2. Let x(d) = 5*d**2 + 22*d + 13. Let f be 4 + (-172)/44 - (-90)/(-22). Let s be x(f). Sort s, -2, i, -3 in descending order.
s, i, -2, -3
Let m = 9 - 8.8. Let i = -10.8 - m. Let z be (-9)/(-21)*1/(-1). Sort -2, z, i in descending order.
z, -2, i
Let j = 13122 + -13122. Put 4, 21, j, -8 in descending order.
21, 4, j, -8
Suppose -4*g + 4*b = 16, -2*b = -231 + 225. Sort 1, 95, g in decreasing order.
95, 1, g
Let s = 35 + -35.039. Let r = 3.839 + s. Let w = -1.2 - r. Put 0.5, -4/5, -5/7, w in increasing order.
w, -4/5, -5/7, 0.5
Let z be (-3)/12*((-56)/(-24) - 3). Sort 5, z, 0.12.
0.12, z, 5
Let a = -49.06 + 50.56. Let j = -4 + 4. Put j, a, -0.4 in increasing order.
-0.4, j, a
Let i be (-4)/(-16)*10*-2. Suppose -10 - 6 = 4*g. Let n be (1/15*10)/(4/6). Sort n, i, g in increasing order.
i, g, n
Let u = -438.399 - 0.601. Let o = u + 452. Put 3, 8/9, o in decreasing order.
o, 3, 8/9
Suppose c = 3*g - 3, 0 = 3*g - 0*g + c + 9. Sort -17, 17, g, 3 in descending order.
17, 3, g, -17
Suppose 38 = 2*x - 4*n, -n = -2*x + 4*x - 23. Let p = 13 - x. Put -1, p, 3, -5 in decreasing order.
3, p, -1, -5
Let q(w) = w**2 + 16*w + 41. Let k be q(-12). Sort -48, k, 3.
-48, k, 3
Suppose -62*w + 60*w = -6. Suppose 12 = -w*g + q + 3*q, 4*g + 16 = -q. Put 2, g, 4, -3 in decreasing order.
4, 2, -3, g
Suppose -104*y + 4*x - 13 = -99*y, 6*y - 25 = -x. Suppose -4*r = -4 - 24. Let b be (3 - 27/r)*(-14)/y. Put 8, -5, b in decreasing order.
8, b, -5
Let a = 16 - 26. Let u be -1 + ((-12)/a)/(21/(-70)). Let b(i) = i + 18. Let z be b(-13). Sort z, -27, -4, u.
-27, u, -4, z
Suppose -287 = -21*y - 980. Put -2, y, 5 in descending order.
5, -2, y
Let k(t) = t**3 - 5*t**2 - 35. Let d be k(6). Let s = -0.9 + -0.1. Let l = 0.3 - 0.42. Put d, s, l in increasing order.
s, l, d
Let n = 326.83 - 326.78. Put 3, n, 5, 74, 2/11 in increasing order.
n, 2/11, 3, 5, 74
Suppose -5*d = 5*r - 170, d = 6*d - 3*r - 170. Let a = -34 + d. Suppose 5*n = -2*h - 24, 45 = -5*n - 0*h + 5*h. Sort n, -2, a.
n, -2, a
Let o be (-1)/2*4/(-9). Let h | {
"pile_set_name": "DM Mathematics"
} |
4. Give l(o).
1
Let g(k) = -3 - 4*k - 3*k + 3*k. Suppose 2*h = 5*n + 220 + 205, -2*h = -n - 77. Let b = -90 - n. Give g(b).
9
Let t(x) = x + 9. Suppose 5*n = -3*f + 103, 3*f - 2*n - 84 - 5 = 0. Let p = -14 - f. Let l = p - -52. Give t(l).
16
Let b(a) = -10*a**2 - 6*a - 8. Suppose 64 + 4 = -118*k - 168. What is b(k)?
-36
Let h(p) = -181 - 154 - 166 - 170 - 33*p + 782. Give h(3).
12
Suppose -5*m - 10*m - 2*m = 0. Suppose m = 5*w - 847 + 832. Let f(r) = -r**3 + 4*r**2 - 3*r + 3. Determine f(w).
3
Let c be 10/(-5) - (-23)/((-184)/64). Let a(q) = q**2 + 8*q - 24. What is a(c)?
-4
Let f(x) = -x**3 - 10*x**2 + 5*x + 54. Let a = 147 + -157. Let k be f(a). Let l(g) = 2*g - 1. Determine l(k).
7
Let t = -35839 - -35840. Let y(s) = -6 - 6*s + 11*s - 29*s. Let w(r) = r + 1. Let v(b) = -6*w(b) - y(b). What is v(t)?
18
Let y be 4/14 + 1380/21. Let f = 21 - y. Let p = f + 44. Let d(s) = -3*s**3 - s**2 - s - 1. Determine d(p).
2
Let p(o) = -4*o**3 + 23*o**2 + 4*o + 129. Let x(a) = -5*a**3 + 24*a**2 + 134. Let s(n) = 4*p(n) - 3*x(n). Determine s(21).
9
Suppose 0*k = 3*k - 27. Let u(a) = 4*a**3 - 10*a**2 + 10*a - 4. Let j(p) = p**3 + 3. Let b(l) = -3*j(l) + u(l). What is b(k)?
-4
Let n be (7 - 0) + 2/(-2). Let z(u) = -2*u**3 - 4*u**2 - 36*u - 26. Let b be z(-16). Let q(a) = -5*a + 3 - b*a**2 - 4 + 7719*a**2. Determine q(n).
5
Let k(m) be the first derivative of -m**4/4 - 13*m**3/3 + 6*m**2 + 7*m - 1439. What is k(-14)?
35
Let c(f) = 3*f + 1. Let r be 1/(6/(-9)*3/(-14)). Let y be r + -2 + -2 + 6. Suppose -30*w + 27*w - y = 0. Determine c(w).
-8
Let h(i) = -2*i - 4*i + 2*i + 9. Let n(c) = -c**2 + c + 116. Let o be (-528)/(-12)*((-21)/12 - -2). Let y be n(o). Give h(y).
-15
Let l(z) = -23*z**2 + z. Suppose 0 = 42*i - 39*i - 6. Suppose i*q - 96 = -94. Calculate l(q).
-22
Suppose 10*w - 154 = 3*w. Let m = w - 19. Let b(a) = 5*a**2 + 3 + 7*a**m - 2*a**3 - 4*a**3 - 6*a. Calculate b(-6).
3
Suppose -3*t + t = 0. Suppose -81 = -9*j - t*j. Let s(o) = 6 + j*o - 2 - 12*o - o**2. Determine s(-3).
4
Let n(f) = f**2 - 1. Suppose -p - 3 = 5*d, 6*p - 2*p = d - 12. Suppose -2 = 4*a - 2*k, d + 5 = -4*a - k. What is n(a)?
0
Let f(t) = -t**3 - 9*t**2 - 5*t + 25. Let n be f(-8). Let l(r) = -97*r + 196*r + n - 97*r. Give l(4).
9
Let x(m) = 16*m**2 - 34*m - 9. Let v(n) = -11*n**2 + 3*n + 6. Let f(q) = -2*q**2 - q + 1. Let s(w) = 4*f(w) - v(w). Let z(b) = 11*s(b) - 2*x(b). What is z(6)?
-22
Let v(k) = 0*k**3 - 1073 + 1091 - 11*k - 16*k**2 - k**3 + 12*k. Determine v(-16).
2
Let h(j) be the first derivative of j**5/20 - j**4/6 + j**3/6 + 31*j + 23. Let q(d) be the first derivative of h(d). Determine q(1).
0
Let p(b) = -b + b**3 + 121 + 10*b - 244 + 9*b**2 + 118. Let v be 24/(-18)*1*6. Give p(v).
-13
Let w(a) = -5*a - 4. Let y(f) be the first derivative of f**3/3 - 2*f**2 - 168. Let r be y(1). Determine w(r).
11
Let h be (-4)/6 + 10/15 + 25. Let a(o) = -5*o + 0*o - 8*o + o + h + o**2. Let w be a(10). Let q(c) = c**3 - 5*c**2 - 3*c + 1. Give q(w).
-14
Let t(c) = 2*c**2 - 6*c - 7 - c**2 + 0*c**2. Suppose 1074*r + 525 = 1179*r. Give t(r).
-12
Let l(g) = g + 15. Suppose -1 = -3*u - z, 103*u = 99*u - 2*z + 2. Give l(u).
15
Suppose 4*g - 12 = -f, -3*g + 4*f = f + 6. Let l(d) = -g - 3*d + 3 - 5 + 0. Suppose -2*h + 23 = -5*a - h, 4*h - 32 = 5*a. What is l(a)?
8
Let v = -45 - -69. Let k = 52 - v. Suppose 4*n + 0*n = -k. Let z(u) = u**3 + 7*u**2 - 4*u - 10. Calculate z(n).
18
Let n(m) = -m**2 + 3*m - 6. Let x be 2 - (6 - 369) - 7. Suppose -3*z + x - 349 = 0. Give n(z).
-6
Suppose 0 = -2*i - 3*m + 55, -5*m = i - m - 40. Suppose 11*u = 6*u - 2*n + i, 3*n - 23 = -4*u. Let q(o) = -2*o**2 + 2*o - 1. Determine q(u).
-5
Let v be 148/28 + 2/(-7) + 3. Suppose -6*n = -n - 35. Let r(b) = -7*b**2 - n*b**3 + 3*b**3 + 5*b**3 - 4 - 8*b. Determine r(v).
-4
Let g(p) = -p**3 + 13*p**2 - 12*p - 6. Let r(c) = c**3 + 10*c**2 + 23*c + 1. Let y be r(-5). Give g(y).
104
Let s(g) = 13*g**2 + 3*g + 1. Let w(h) = h**2 + h. Let q(y) = -s(y) + 6*w(y). Let p(x) = -x**2 + 7*x + 2. Let n be p(7). What is q(n)?
-23
Suppose -5*o - 2*l = -44, -l + 12 = 3*o - 14. Let r(a) = -2 - 2*a + 3 - 2*a - 2*a**2 + o*a. Calculate r(4).
-15
Let p(h) = h**3 + 3*h**2 - 12*h + 1. Suppose 2*j = -k - 8, 4*k - 9*j + 22 = -7*j. What is p(k)?
-35
Let w(d) = -14*d**2 + 1. Let n(y) = 4*y**2 + 6*y + 18. Let l be n(-4). Let u = 59 - l. What is w(u)?
-13
Let c(h) = -h**3 + 7*h**2 - 27*h + 181. Suppose -16*t + 0 + 112 = 0. Let g be c(t). Let s(y) = -y**3 - 8*y**2 + 3*y + 11. Calculate s(g).
-13
Let d be (87/60 - 65/325)*4. Let b(z) = -z**3 + 6*z**2 - 24*z + 96. Give b(d).
1
Let u(p) = -p**2 - p + 6. Let l(r) = 4*r - 32. Let k be (-4)/24*-2*0. Let j be l(k). Let x = -32 - j. Determine u(x).
6
Suppose -5*g + 9*v = 4*v - 50, v = -g. Suppose 2*d + 3*m - 22 = -0*m, -m = 5*d - 42. Let n(s) = d*s + s - s - 7*s. Calculate n(g).
5
Let w(o) = -7*o**2 + 71*o - 32*o - 4 + 6*o**2 - 14*o - 11. Determine w(21).
69
Let x(l) = 1651*l + 7. Let w(i) = 6054*i + 27. Let b(n) = -3*w(n) + 11*x(n). Let u(r) = 11*r**3 - 2*r**2 + r. Let f be u(1). What is b(f)?
-14
Let d(z) be the third derivative of z**5/60 - z**4/3 + 7*z**3/6 + 878*z**2 + 9*z. Let l = -11 + 15. Suppose 0 = l*o + 2*g + 3*g - 30, 6 = 3*g. Give d(o).
-8
Let g(z) = 7*z**2 + z - 2. Let a be g(3). Let c(n) = -6 - 1 + a*n - 2 - 62*n. Calculate c(14).
19
Let z(y) be the second derivative of y**4/12 - 3*y**3/2 + 5*y**2/2 - y. Suppose 6*b + 5*b = 55. Suppose 38 = 5*s - 3*a, 3*a - 11 = -b*s + 21. What is z(s)?
-9
Let n(p) = 2*p**3 - p**2 - p. Let i(y) = 37*y**3 - 11*y**2 - 21*y - 4. Let c(x) = -i(x) + 18*n(x). Calculate c(-6).
-50
Let r(x) = 4 - 1 - 178*x + 60*x + 60*x + 62*x - 2*x**2. What is r(3)?
-3
Suppose 2773 = -7*f + 778. Let a = f + 289. Let c(o) = o - 3. What is c(a)?
1
Let u(p) = p - 5. Let l(k) = 4*k - 15. Let t(x) = -6*l(x) + 17*u(x). Let j be (2 - 1)/((-6)/(-12)). Let i be t(j). Let g(a) = a + 5. Give g(i).
-4
Let v(r) = -r**3 - r. Let m(s) = -s**2 + 16*s - 50. Let f be m(6). Let a be ((-1 - 4)/f)/(3/12). Calculate v(a).
10
Let s = 496 + -501. Let i(b) be the first derivative of 5*b**2/2 + 12*b + 7. What is i(s)?
-13
Suppose 5*u + 3*b = -2*b - 5, 3*b = u - 19. Suppose -7*w + 9 = -u*w. Suppose 2*x - 3*c = 13, 5*x - 2*x = -3*c - w. Let n(j) = 6*j - 3. Calculate n(x).
9
Let d(l) be the first derivative of -l**4/4 - 3*l**2/2 + 2*l - 679. Give d(-3).
38
Let j(z) be the third derivative of -z**4/24 - z**3 + z**2. Suppose -446*a = -2*b - 441*a + 38, -4*b = a - 10. Calculate j(b).
-10
Suppose 6*t + 0*t = t. Suppose 2*c + 2*c + 20 = t. Let k(b) be the third derivative of -b**4/24 - 5*b**3/6 + 8*b**2. Give k(c).
0
Suppose 10*b + 240 = 50*b. Let i(c) = b + 0 + 21*c**2 + 3*c - 19*c**2 + 3*c. Calculate i(-3).
6
Suppose -3*d + 5*k = -43, -11 + 25 = -d - 4*k. Let t(x) = x**3 - 6*x**2 + 5*x + 8. Calculate t(d).
38
Let n(v) = -v**3 + 3*v**2 + 3*v - 2. Suppose 0 = -2*q + k + 24, 0 = -4*q + k + 60 - 8. Suppose -3*h = -4*c + 1, -31*c + 30*c + q = 2*h. Give n(c).
-6
Let b = -25 - -29. Suppose 2 = 2*f + 4*x, -b*f = -0*x - 3*x - 26. Let w(t) = -t**2 + 7*t + 1. Determine w(f).
11
Let c(k) = -k**3 + 9*k**2 - k + 10. Let a(h) = 5*h**3 + 6*h**2 + 6*h + 23. Let q be a(-4). Let g = 234 + q. Give c(g).
1
Let u(v) be the first derivative of -29*v**2/2 - 3*v + 7777. Determine u(1).
-32
Let i(v) be the second derivative of 2*v**2 + 2*v - 1/12*v**4 + 39 + 4/3*v**3. Give i(8).
4
Let b(j) = -32 + 60*j**2 + 6*j - 21*j + 0*j + 69*j**2 - 130*j**2. What is b(-9)?
22
Suppose 174*y - 975 = -21*y. Let r(j) = 8*j - 47. Calculate r(y).
-7
Let y(b) = -b**2 - 3*b - 1. Let q be ((-56)/5)/((-4)/10). Let d = q - 25. Suppose -4*a = 7 - d. Give y(a).
1
Let p(w) be the third derivative of w**4/2 - w**3/3 + 1058*w**2. Let s(u) = 2*u - 2 - u**2 + u**3 + 2*u**2 + 4 + u**2. Let a be s(-2). What is p(a)?
-26
Let k(t) = 5*t. Let u = -21 - -20. Let h(m) = -20*m. Let p(i) = u*h(i) - 5*k(i). Determine p(-2).
10
Let f(k) = 5*k**3 - 2*k - 1. Let j = -55 - -79. Let t be (-1)/(-3)*(21 - j). Determine f(t).
-4
Let t(a) = 3*a**3 - 1491*a**2 + 1487*a**2 - 4*a**3 + 3 + 6*a. Suppose -4*m + 4 = 24. Give t(m).
-2
Let o(g) = 3*g**2 + 24*g - 8. Let r = 5419 + -5428. Give o(r).
19
Suppose -4*o + 2 = -2*g - 2, -4*o = 5*g + 24. Let b(l) = 28*l**3 - 5*l + 1. Let k(i) = 86*i**3 - 17*i + 4. | {
"pile_set_name": "DM Mathematics"
} |
s: 1, l: 1}. What is prob of sequence es?
1/15
Calculate prob of sequence fqc when three letters picked without replacement from mmfccqqcuc.
1/90
Four letters picked without replacement from {l: 4, h: 1, f: 4, j: 3, e: 2}. Give prob of sequence eeff.
1/1001
Four letters picked without replacement from crrvcrvcrvvcvvrccrv. Give prob of sequence cvcr.
35/2584
Two letters picked without replacement from {b: 1, m: 8, l: 6}. What is prob of sequence bm?
4/105
What is prob of sequence zccc when four letters picked without replacement from {z: 3, c: 12}?
11/91
Calculate prob of sequence fq when two letters picked without replacement from gefegegyfqqfgffegejg.
1/38
Three letters picked without replacement from quhqeeha. Give prob of sequence equ.
1/84
Calculate prob of sequence ci when two letters picked without replacement from {y: 2, l: 4, i: 1, c: 4, m: 2, h: 2}.
2/105
Calculate prob of sequence qisy when four letters picked without replacement from {k: 2, y: 2, i: 1, q: 1, s: 1}.
1/420
Three letters picked without replacement from {s: 2, f: 3, j: 4}. What is prob of sequence fjf?
1/21
Four letters picked without replacement from kckckkckckkkkkck. What is prob of sequence ckcc?
11/728
Calculate prob of sequence vgn when three letters picked without replacement from {x: 8, n: 5, t: 3, g: 1, v: 2}.
5/2907
Calculate prob of sequence jkt when three letters picked without replacement from oojfftntjknffj.
1/364
Two letters picked without replacement from kkkkoajo. What is prob of sequence aj?
1/56
Two letters picked without replacement from {w: 2, k: 2, u: 2}. Give prob of sequence ww.
1/15
Calculate prob of sequence tmxm when four letters picked without replacement from {t: 1, m: 4, x: 1, a: 10, e: 2}.
1/6120
Calculate prob of sequence nyk when three letters picked without replacement from uuuxykn.
1/210
Two letters picked without replacement from kpkbbhbbgglh. Give prob of sequence gb.
2/33
Two letters picked without replacement from {y: 2, o: 6}. What is prob of sequence oy?
3/14
Four letters picked without replacement from vzgcxgp. What is prob of sequence ggpz?
1/420
What is prob of sequence bi when two letters picked without replacement from {i: 2, y: 4, b: 2, m: 1, v: 1}?
2/45
Four letters picked without replacement from mwmmpmpmmmwmwpmwwn. What is prob of sequence pwwm?
1/136
Two letters picked without replacement from {s: 2, x: 1, j: 1, g: 1}. Give prob of sequence gx.
1/20
What is prob of sequence fggf when four letters picked without replacement from {g: 2, f: 2}?
1/6
Three letters picked without replacement from {y: 1, b: 5, l: 4, n: 6}. Give prob of sequence ynb.
1/112
Two letters picked without replacement from {i: 2, u: 3}. Give prob of sequence uu.
3/10
What is prob of sequence ojj when three letters picked without replacement from {p: 3, s: 7, o: 3, j: 2}?
1/455
Calculate prob of sequence bu when two letters picked without replacement from {x: 1, b: 2, u: 1}.
1/6
Calculate prob of sequence wcc when three letters picked without replacement from xcwxci.
1/60
Four letters picked without replacement from krrrkrk. What is prob of sequence rkkr?
3/35
Two letters picked without replacement from jjjoojjjj. What is prob of sequence jo?
7/36
What is prob of sequence lb when two letters picked without replacement from grbrgrlggr?
1/90
What is prob of sequence ta when two letters picked without replacement from att?
1/3
Four letters picked without replacement from wrzrzjjhrlhlrhh. Give prob of sequence ljjl.
1/8190
Three letters picked without replacement from rpp. What is prob of sequence ppr?
1/3
Calculate prob of sequence lbkb when four letters picked without replacement from {b: 2, j: 1, t: 2, l: 1, k: 4}.
1/630
Calculate prob of sequence bbu when three letters picked without replacement from ecuebb.
1/60
Three letters picked without replacement from gxpagjjx. What is prob of sequence agx?
1/84
Two letters picked without replacement from wjwttotwtkkotwotkeo. What is prob of sequence jw?
2/171
What is prob of sequence gxgx when four letters picked without replacement from zmzigxmxixxixxgzm?
1/952
Two letters picked without replacement from eheeweeeezeewheweew. What is prob of sequence eh?
4/57
Calculate prob of sequence ddd when three letters picked without replacement from {d: 5}.
1
Four letters picked without replacement from {d: 4, e: 3, p: 2}. Give prob of sequence eepp.
1/252
What is prob of sequence wg when two letters picked without replacement from {g: 2, w: 3}?
3/10
Three letters picked without replacement from {f: 2, i: 1, c: 1, e: 1, t: 2, u: 2}. What is prob of sequence itt?
1/252
Two letters picked without replacement from ppfefffpfp. Give prob of sequence fp.
2/9
Calculate prob of sequence hh when two letters picked without replacement from {h: 4, c: 5, i: 6}.
2/35
Calculate prob of sequence rro when three letters picked without replacement from {r: 5, o: 14}.
140/2907
What is prob of sequence jjv when three letters picked without replacement from {v: 1, j: 3, t: 2, w: 4}?
1/120
What is prob of sequence dhf when three letters picked without replacement from dfhtfttfcc?
1/240
Three letters picked without replacement from {u: 2, d: 5}. What is prob of sequence udd?
4/21
Two letters picked without replacement from wwxwjwwjwwwwxwxww. What is prob of sequence ww?
33/68
What is prob of sequence rx when two letters picked without replacement from dxudrdiuuwdurruu?
1/80
Three letters picked without replacement from {b: 5, v: 1, c: 3}. What is prob of sequence ccv?
1/84
Two letters picked without replacement from {n: 6, i: 3, u: 1, g: 4}. Give prob of sequence ii.
3/91
Two letters picked without replacement from iiwibdhiiiiiiibdwii. What is prob of sequence ii?
22/57
Four letters picked without replacement from {w: 5, y: 1, x: 2, s: 4, d: 4, o: 4}. What is prob of sequence dwyo?
2/2907
Calculate prob of sequence ipp when three letters picked without replacement from {p: 2, i: 1, c: 14}.
1/2040
Two letters picked without replacement from {t: 1, i: 1, p: 10, o: 6, u: 1}. Give prob of sequence pi.
5/171
Two letters picked without replacement from {p: 1, k: 1, x: 2}. Give prob of sequence pk.
1/12
What is prob of sequence qvq when three letters picked without replacement from {q: 15, v: 5}?
35/228
Calculate prob of sequence ssg when three letters picked without replacement from {d: 1, s: 5, c: 3, f: 1, g: 3, z: 2}.
2/91
Calculate prob of sequence vv when two letters picked without replacement from vppvppppvpppvvpppvp.
5/57
Calculate prob of sequence pkqp when four letters picked without replacement from cppkqcccccpcpqqcpcp.
5/5168
Calculate prob of sequence ho when two letters picked without replacement from {s: 2, e: 1, o: 2, g: 1, a: 2, h: 1}.
1/36
Calculate prob of sequence lll when three letters picked without replacement from llllvllvvvl.
7/33
What is prob of sequence kpkk when four letters picked without replacement from mvckcpmkivccvkc?
1/5460
Two letters picked without replacement from {i: 2, m: 1, n: 4, x: 1, f: 10}. What is prob of sequence nn?
2/51
Two letters picked without replacement from sssssss. Give prob of sequence ss.
1
What is prob of sequence mwi when three letters picked without replacement from wbbmmpwwwipmmb?
2/273
Three letters picked without replacement from codfdvddcoc. Give prob of sequence odv.
4/495
Three letters picked without replacement from {z: 2, i: 2, x: 1, u: 1}. Give prob of sequence uzz.
1/60
Two letters picked without replacement from igdiwlq. What is prob of sequence gd?
1/42
Three letters picked without replacement from {u: 6, v: 3, y: 1, h: 5}. Give prob of sequence vyh.
1/182
What is prob of sequence tgf when three letters picked without replacement from ftgftdtgtdtgaqqa?
1/112
What is prob of sequence gu when two letters picked without replacement from {q: 4, u: 7, g: 4, h: 1, k: 1}?
7/68
Two letters picked without replacement from nvnbbnnnnnxbnbnnnbxx. What is prob of sequence bv?
1/76
Four letters picked without replacement from {j: 2, b: 4, m: 2}. Give prob of sequence jbjm.
1/105
What is prob of sequence lell when four letters picked without replacement from dllldldelddllldlll?
11/816
Calculate prob of sequence jju when three letters picked without replacement from {u: 5, j: 9}.
15/91
Two le | {
"pile_set_name": "DM Mathematics"
} |
)/(-27))?
False
Let o(i) = i**3 + 38*i**2 + 18*i + 4. Does 17 divide o(7)?
False
Let g(t) = -322*t - 1260. Is g(-6) a multiple of 2?
True
Suppose -7*o + 8 = -6. Is 6 a factor of 4/24*-3 + 25/o?
True
Suppose -5*k = -2*x - 620, k - 80 - 47 = x. Suppose 130 + k = 4*q. Does 6 divide 108/14*-1*q/(-9)?
True
Suppose 2*u - 3*d = u + 167, -u - d = -151. Suppose -15*a = -11*a - f - 144, 5*a - u = -5*f. Does 27 divide a?
False
Suppose z + 1 = 3. Let g(s) = -4*s**z - 39*s + 66*s - 29*s - 2*s**3. Is 5 a factor of g(-3)?
False
Let p be (-232)/8*(2 + -1). Let c = p + 19. Is 13 a factor of 4/c*(-18 - 47)?
True
Suppose -12*j + 2*t + 7776 = -10*j, -5*j + 4*t = -19434. Is j a multiple of 2?
True
Let r(w) = -w**3 + 6*w**2 + 18*w - 12. Let f be r(8). Suppose 0 = -3*z + l + 19, -f = -l - l. Suppose -z*x + 12*x = 50. Is x a multiple of 6?
False
Suppose 41*i + 1546400 = 241*i. Is 19 a factor of i?
False
Let s be 2 + -1 + -2 + -710. Let j = s + 496. Let t = -147 - j. Does 8 divide t?
False
Let w be 43*(26/(-104) - (-5)/4). Suppose -p = 4*b - w, -2*p + 45 = -5*b - 2. Does 19 divide p?
False
Let w(d) = -d**3 + 115*d**2 + 527*d - 642. Is w(115) a multiple of 22?
False
Let l(j) = -2*j**3 + j**2 - 2*j - 2. Let b be l(-1). Let z be (0 + b)/((-6)/664*-4). Let q = z + 1. Is 42 a factor of q?
True
Let w(d) = d**3 + 26*d**2 + 35*d - 20. Suppose -14*b - 124 = -9*b - x, 3*b - 2*x + 80 = 0. Is 12 a factor of w(b)?
False
Let r(d) be the third derivative of d**6/120 + 3*d**5/20 - d**4/2 - 11*d**3/3 - 125*d**2. Is 29 a factor of r(-5)?
False
Suppose 0 = -3*b - b + 24. Does 23 divide ((-36)/(-3 + b))/((-4)/74)?
False
Let v be -2 + 2176 - (1 - 2). Suppose -3*r - 1365 = -4*z, -5*z - 3*r - 462 = -v. Is z a multiple of 6?
True
Suppose -1 - 62 = 7*x. Let f be (x + 10)/(3/285). Suppose -o + 2*o - 5*d = f, -o = -2*d - 101. Is 21 a factor of o?
True
Let q = 241 + -351. Let a = q + 113. Suppose -3*k - 63 = -m, a*m + 2*k = -m + 252. Is m a multiple of 25?
False
Let f(i) = 3*i**2 - 4*i + 38. Let z be f(6). Suppose -3*o - p + 468 = z, 8 = 2*p. Does 6 divide o?
True
Let u be (-45)/10*-8 + 1. Let g = u - 32. Suppose -t + 2*t + 41 = 3*s, -g*s + 3*t + 71 = 0. Does 4 divide s?
False
Suppose 0 = -36*p + 30*p + 24. Suppose 92 = 4*h + p*q, 4*h - 7*q - 47 = -2*q. Does 20 divide (91 + h/6)*3?
False
Suppose -68418 - 342447 = -91*v. Is 36 a factor of v?
False
Let l be 2/((-56)/324) - (-30)/(-70). Let f(a) = -51*a - 128. Is 11 a factor of f(l)?
True
Suppose -9*h + 0*h + 180079 = 22*h. Does 24 divide h?
False
Let z be 48/(-20)*((-3)/(-6) - 3). Let g(u) = 10 - z*u - 17*u**2 - 19*u**2 + 41*u**2. Does 20 divide g(4)?
False
Let a = 33112 + -8692. Is a a multiple of 12?
True
Does 81 divide -10566*(11 - 476/42)?
False
Let u(x) = -x**3 - 15*x**2 - 9*x - 2. Let l be u(-10). Let y = 20 - l. Suppose -5*w - 4*j + 723 = 0, 7*w - 4*w + 3*j = y. Does 24 divide w?
False
Suppose -53*p - 51*p - 20331 + 199731 = 0. Does 5 divide p?
True
Suppose -3*s - 4*f + 62 = 0, -3*s + 4*f + 2 = -20. Is ((-48)/(-8) + 6)*s a multiple of 24?
True
Let y(d) = -19707*d - 536. Is 16 a factor of y(-3)?
False
Let k(b) = 2854*b**2 + 448*b - 879. Is k(2) a multiple of 20?
False
Suppose 3*i = -3, -4*g + 2*i - 3260 = -810. Let a = 1032 + g. Is 12 a factor of a?
False
Suppose 0 = 4*n - 2*t - 73692, 8*n + 2*t - 36846 = 6*n. Is n a multiple of 40?
False
Let w = 1861 - -1811. Is w a multiple of 216?
True
Suppose 2*a + 2*a - 22 = 5*t, -3*t - 3*a + 3 = 0. Let l be (4/6)/(t/(-72)). Does 12 divide ((-14)/4)/((-2)/l)?
False
Let h(k) = k**3 - 4*k**2 + k - 1. Let j be h(4). Let v(s) = 17*s**3 + 2 - 1 + 5*s - 5*s**2 - 10*s**3. Is v(j) a multiple of 16?
True
Let b = -55 - -66. Let g(w) = -w + 101. Does 40 divide g(b)?
False
Is 26 a factor of ((-21216)/15)/(9*34/(-3825))?
True
Suppose v - 13 + 14 = 0. Let r be ((-15)/9)/(v/378). Suppose 0*k = 6*k - r. Is 5 a factor of k?
True
Suppose 3*b - 2956 = -5*t, -4*t - 5*b = 988 - 3332. Is t a multiple of 244?
False
Let j = 7815 - -957. Does 51 divide j?
True
Let v(y) = -y**3 - 50*y**2 + 257*y + 120. Is 15 a factor of v(-55)?
True
Suppose 5*u + 3 = 6*u. Let a be 3 + u - (2 + 1). Suppose 8*t - a*t - 397 = 2*i, 5*t - 5*i = 385. Is 7 a factor of t?
False
Suppose 17 = -8*o + 113. Is 9 a factor of o/(3 - (-567)/(-196))?
False
Suppose 3*a - 26 - 283 = 0. Suppose -2*y = -a + 5. Let l = y + -28. Is 3 a factor of l?
True
Let q(u) = -u**2 - 10*u - 18. Let o be q(-8). Let v be 4/(-14) + (o/(-7))/1. Suppose v = 16*b - 2398 - 482. Is 18 a factor of b?
True
Suppose -5*q + 95 = -2*y, 2*q + 9 = -q. Suppose r + 136 = 5*r. Let n = r - y. Does 14 divide n?
False
Let j = 355 - 380. Let q = j - -145. Does 25 divide q?
False
Let w(s) = 3*s**3 + 7*s**2 - 5*s - 60. Let i be w(11). Suppose -4*m + i = 11*m. Does 35 divide m?
True
Suppose 0 = -3*q - 15, h + 3*q = 1207 + 4875. Is 67 a factor of h?
True
Suppose 377*l = -3*f + 372*l + 25382, -f - 2*l = -8462. Does 121 divide f?
False
Let j be (-28)/2*26/(-4)*-5. Is 19 a factor of j/14*(-820)/25?
False
Suppose 0 = -34*z + 775693 - 186201. Is 5 a factor of z?
False
Suppose q + 15 = -5*g, 5 + 10 = -5*g + 5*q. Does 19 divide g/9 + (-2198)/(-6) - 5?
True
Let s be -35 - -33 - 1/((-1)/6). Let q(w) = 5*w**2 + 7*w - 49. Let z(m) = 2*m**2 + 4*m - 24. Let k(p) = s*q(p) - 9*z(p). Is 35 a factor of k(10)?
True
Let r(l) = -5*l**2 + 8 - 952*l + 12*l**2 + 6*l**2 + 944*l. Does 32 divide r(-6)?
False
Suppose -3*o = 4*g - 93, 2*o = -g - 4 + 31. Let y = g + -21. Suppose y = 12*p - 7*p - 480. Is p a multiple of 16?
True
Let k = 65426 - 25373. Does 169 divide k?
True
Let u(p) be the third derivative of p**6/120 - 2*p**5/5 - 5*p**4/3 - 29*p**3/6 - 46*p**2 - p. Is u(26) a multiple of 10?
False
Let o = 70 + -65. Suppose w - o = -1, 0 = 2*d + 5*w - 50. Let a(u) = 21*u - 35. Does 40 divide a(d)?
True
Let j = 433 - 206. Suppose t + 126 = -36. Let u = t + j. Is 13 a factor of u?
True
Suppose -4*o + 3 = 3*d - 192, o - 53 = -5*d. Does 16 divide o?
True
Suppose -6*j + 5*x = -11*j + 45, -2*j + 12 = -4*x. Suppose 0 = 5*k + 4*s - 3485, -3*k + 2091 = 5*s - j*s. Is 17 a factor of k?
True
Suppose 2*q - 10*q - 4248 = 0. Let a = 968 + q. Does 8 divide a?
False
Suppose 37*v - 123658 = -3*f + 35*v, -2*v = -2*f + 82422. Is f a multiple of 56?
True
Is 5 a factor of (-13 - -10) + (-74798)/(-14) + (-66)/(-231)?
True
Let j be ((-20)/15 - -2) + 345/9. Suppose j*v = 5666 + 2758. Does 4 divide v?
True
Let o be (3 + 0)*2/(-4)*-2. Let t(j) = 7*j - j + 3*j**o + 5*j**2 - 12*j + 20 + 0*j**3. Does 52 divide t(4)?
False
Suppose -3*l + 15 = 3*v, -3*v + 3*l = 4 + 11. Let p be 19 - v - (-15 + 11). Let d = p + 33. Is 7 a factor of d?
True
Let h(r) = -14*r - 404. Let v be h(-17). Is 13063/13 - v/1079 a multiple of 30?
False
Suppose 5*k = -5*j - 125, 3*k - 3*j + 57 = -0*k. Is 21 a factor of (-56)/(-616) - 32228/k?
False
Let z be (-2094)/(-8) - (-3)/12. Suppose -167 + 203 = 9*v. Suppose -6 + 1 = 5*r, z = v*c + 2*r. Is c a multiple of 11?
True
Suppose -3*m - 2 = -17. Suppose -v + 4570 = 4*v - 5*t, m*t = v - 922. Does 8 divide 1/((-18)/(-4)) + v/27?
False
Let m = -4360 + 7510. Is m a multiple of 18?
True
Suppose -179 = 5*u - 3*l - l, 0 = u + 4*l + 31. Let p be -4*(5025/20)/(-15). Let c = p + u. Is c a multiple of 21?
False
Let f(l) = l - 16. Let n be f(18). Let p(g) = -g**3 + 2*g**3 + 4 - 7*g + 1 - n. Does 13 divide p(4)?
True
Let a be (6 + 11146)/8 + -8. Suppose 924 = 22*x - a. Is x a multiple of 9?
False
Let c(t) = -3*t**2 - 6 + 16 - 7*t - 10*t**3 + 12*t**3. Is 6 a factor of c(5)?
True
Let k = -2188 + 3792. Does 5 divide k?
False
Suppose 17*h - 13 = 16*h. Suppose -h*v + 21*v - 72 = 0. Suppose 2669 = v*b - 328. Is 48 a factor of b?
False
Let r be (4/14)/((-6)/(-42)). Suppose 5*s = 4*i + 10, -4*i - r*s = -s - 2. Suppose 2*x - 4*u = 3*x - 67, i = 2*u. Is 37 a factor of x?
False
Let t = 3 - 11. Let g = -12 - t. Let b(d) = 4*d**2 + 3*d - 10. Is 14 a factor of b(g)?
True
Suppose 49*f + 66 = 51*f. Suppose f*j = 30*j + 597. Is 13 a factor of -3 - j/(-1)*1?
False
Suppose 86*h + 15630 = 6*o + 89*h, 4*h + 2605 = o. Is 9 a factor of o?
False
Suppose 6*b - 70 = -8*b. Suppose 14 = 3*d - 1, -3*c + 2639 = -5*d. Suppose 7*o + b*o - c = 0. Is o a multiple of 9?
False
Let s(w) = 79*w**2 - 506*w - 47. Is s(13) a multiple of 2?
True
Let a(l) = 2*l**2 - 1. Let w(t) = -4*t**2 - 3*t - 1. | {
"pile_set_name": "DM Mathematics"
} |
6000000
What is -0.000005140668 rounded to 6 decimal places?
-0.000005
What is -0.00000070579551 rounded to 7 dps?
-0.0000007
What is -71298.96 rounded to the nearest one hundred?
-71300
Round 0.589469 to three dps.
0.589
Round 55.1945 to the nearest integer.
55
What is -0.54506138 rounded to 3 decimal places?
-0.545
Round -22303.71 to the nearest ten.
-22300
Round 0.001836352 to five dps.
0.00184
What is 414100 rounded to the nearest 10000?
410000
What is -0.003240368 rounded to five dps?
-0.00324
What is -53.44446 rounded to 1 decimal place?
-53.4
Round 0.3739816 to three decimal places.
0.374
Round -3.27819 to two decimal places.
-3.28
What is 2.14138 rounded to zero decimal places?
2
What is 0.0000060933 rounded to six dps?
0.000006
What is -1475.0834 rounded to the nearest one thousand?
-1000
Round -431.2511 to one dp.
-431.3
Round -73897.018 to the nearest ten.
-73900
Round 0.001672767 to four decimal places.
0.0017
Round 10519.7 to the nearest ten.
10520
What is 682691 rounded to the nearest one thousand?
683000
What is -0.09291148 rounded to 5 decimal places?
-0.09291
Round -11479620 to the nearest 100000.
-11500000
What is 747146000 rounded to the nearest one million?
747000000
What is -0.00399893 rounded to four dps?
-0.004
What is 0.00031626 rounded to 4 decimal places?
0.0003
What is 0.0000544454 rounded to 5 dps?
0.00005
What is 242.1725 rounded to the nearest integer?
242
Round -0.06652841 to five decimal places.
-0.06653
Round -461.21 to the nearest ten.
-460
What is -0.00046781 rounded to 5 dps?
-0.00047
Round 0.000113764 to six dps.
0.000114
What is -299923.2 rounded to the nearest 1000?
-300000
What is 2957.11 rounded to the nearest ten?
2960
What is 213.475 rounded to 0 dps?
213
Round 0.00002199635 to seven decimal places.
0.000022
Round 0.00000041913 to 7 dps.
0.0000004
What is -45.0212 rounded to 1 decimal place?
-45
What is 2.23075 rounded to 2 decimal places?
2.23
Round 981500000 to the nearest one million.
982000000
What is 1586.727 rounded to zero decimal places?
1587
Round 1.914849 to two decimal places.
1.91
Round 0.54413443 to one dp.
0.5
What is 0.00079723 rounded to 5 dps?
0.0008
What is -0.0003832044 rounded to 6 dps?
-0.000383
What is -89.9207 rounded to 1 dp?
-89.9
What is -5351.7 rounded to the nearest 100?
-5400
Round 15646300 to the nearest 100000.
15600000
Round 27390.6 to the nearest one hundred.
27400
What is -31289.784 rounded to the nearest one hundred?
-31300
Round -2005.33 to the nearest ten.
-2010
Round 72.84983 to the nearest 10.
70
Round 0.46652 to one dp.
0.5
Round 0.00000269971 to seven decimal places.
0.0000027
Round 0.06657925 to 2 decimal places.
0.07
Round 0.000002822272 to 7 decimal places.
0.0000028
Round 22688760 to the nearest ten thousand.
22690000
What is -0.000043764615 rounded to 5 dps?
-0.00004
What is 24951950 rounded to the nearest 1000000?
25000000
What is 0.2262281 rounded to four decimal places?
0.2262
Round 9180.346 to the nearest integer.
9180
Round 202637300 to the nearest one hundred thousand.
202600000
Round 274205 to the nearest ten thousand.
270000
What is 76.2872 rounded to 1 dp?
76.3
What is -14785490 rounded to the nearest 10000?
-14790000
Round 305921040 to the nearest 100000.
305900000
What is -0.039203 rounded to four dps?
-0.0392
Round 0.0000224737 to 7 decimal places.
0.0000225
Round -124963900 to the nearest one hundred thousand.
-125000000
Round -0.015823601 to four dps.
-0.0158
What is 25200131 rounded to the nearest one million?
25000000
Round 0.205106 to 2 dps.
0.21
What is 0.000000807149 rounded to 7 dps?
0.0000008
Round 1.1318224 to three decimal places.
1.132
What is -6033379 rounded to the nearest ten thousand?
-6030000
Round 0.000137895 to 5 decimal places.
0.00014
Round -0.39450638 to 1 dp.
-0.4
Round -3.192576 to 3 decimal places.
-3.193
Round 0.0147533 to 4 decimal places.
0.0148
Round -120922470 to the nearest ten thousand.
-120920000
What is 1715730 rounded to the nearest 100000?
1700000
Round 0.01758779 to 5 dps.
0.01759
Round -7319.928 to the nearest 1000.
-7000
Round 1.982 to two dps.
1.98
What is -20592.983 rounded to the nearest 1000?
-21000
What is 0.137666 rounded to 3 dps?
0.138
Round -0.00022103261 to 6 decimal places.
-0.000221
Round -160.0548 to the nearest 10.
-160
What is -2326.569 rounded to the nearest ten?
-2330
What is -0.01884378 rounded to three dps?
-0.019
Round -0.0004480357 to 6 decimal places.
-0.000448
What is -7.67747 rounded to 2 dps?
-7.68
Round 2.50491 to 1 dp.
2.5
Round -0.01679648 to 4 dps.
-0.0168
What is -9737 rounded to the nearest 100?
-9700
Round -0.443175 to 2 dps.
-0.44
What is 0.00012044955 rounded to six decimal places?
0.00012
Round -0.03021578 to three dps.
-0.03
What is 40673.4 rounded to the nearest ten thousand?
40000
Round 0.00197204 to 5 dps.
0.00197
Round 1144.4734 to the nearest one thousand.
1000
Round 4666.08 to 0 decimal places.
4666
Round -47884620 to the nearest 10000.
-47880000
What is -1.226885 rounded to one decimal place?
-1.2
Round 547.46353 to the nearest integer.
547
What is 57612800 rounded to the nearest 1000000?
58000000
What is -0.14907715 rounded to 2 decimal places?
-0.15
What is -135.1907 rounded to 1 decimal place?
-135.2
What is -0.0000097232 rounded to 7 decimal places?
-0.0000097
What is -16953.668 rounded to the nearest 1000?
-17000
Round -13818894 to the nearest 1000.
-13819000
Round 0.000452581 to 4 decimal places.
0.0005
What is 2002829 rounded to the nearest one thousand?
2003000
Round 66.3399 to zero dps.
66
What is -1526.316 rounded to the nearest ten?
-1530
Round 50.714 to the nearest 100.
100
What is 22300220 rounded to the nearest 1000000?
22000000
Round -4.07688 to one dp.
-4.1
Round -0.00071056027 to 6 decimal places.
-0.000711
What is -63975000 rounded to the nearest 1000000?
-64000000
Round 0.00766337 to five dps.
0.00766
Round 0.000000366401 to 7 dps.
0.0000004
Round 1202018000 to the nearest one million.
1202000000
Round 2.0149927 to two decimal places.
2.01
Round 0.0020573 to six decimal places.
0.002057
What is -14765760 rounded to the nearest 10000?
-14770000
What is 6641.45 rounded to the nearest 1000?
7000
Round -528.673 to the nearest integer.
-529
What is 2995.36 rounded to the nearest one hundred?
3000
What is 0.001062717 rounded to 5 dps?
0.00106
What is -0.0005182021 rounded to four decimal places?
-0.0005
What is -0.00001243046 rounded to 7 dps?
-0.0000124
What is -9238.61 rounded to the nearest one hundred?
-9200
What is 0.0001343928 rounded to 5 decimal places?
0.00013
What is 15974.18 rounded to the nearest 100?
16000
What is -2189501 rounded to the nearest 1000?
-2190000
Round 0.00131656 to four decimal places.
0.0013
Round -4.767101 to two decimal places.
-4.77
Round -8209860 to the nearest one million.
-8000000
Round -83736010 to the nearest 1000000.
-84000000
Round 0.00000267323 to 6 decimal places.
0.000003
What is -0.0003246117 rounded to 6 decimal places?
-0.000325
What is -0.00002289667 rounded to five decimal places?
-0.00002
Round -766.146 to the nearest integer.
-766
Round -0.000000167182 to 7 dps.
-0.0000002
Round -161026.5 to the nearest one thousand.
-161000
Round -4296800 to the nearest 100000.
-4300000
Round 757458000 to the nearest 1000000.
757000000
What is -1641368.4 rounded to the nearest one hundred thousand?
-1600000
What is -65191 rounded to the nearest ten thousand?
-70000
What is 9973500 rounded to the nearest 10000?
9970000
What is -1532288 rounded to the nearest one hundred thousand?
-1500000
What is 0.141981 rounded to four dps?
0.142
What is 1.5928089 rounded to 2 decimal places?
1.59
Round 0.00042506572 to seven decimal places.
0.0004251
What is -1052960.2 rounded to the nearest 1000000?
-1000000
Round -2838.3 to the nearest 100.
-2800
What is 12429.925 rounded to the nearest 100?
12400
What is -0.0008218936 rounded to five decimal places?
-0.00082
Round 31633130 to the nearest one hundred thousand.
31600000
Round 0.009439418 to 5 decimal places.
0.00944
What is -0.2275067 rounded to 2 dps?
-0.23
Round 0.000004400274 to seven decimal places.
0.0000044
What is -0.00810748 rounded to four dps?
-0.0081
What is 7870.773 rounded to the nearest one hundred?
7900
Round 2799079 to the nearest 10000.
2800000
What is -0.00218 | {
"pile_set_name": "DM Mathematics"
} |
e 0 = -5*q + y + 5, -2 = -2*q - m*y - y for q.
1
Suppose -4*g = -3*h - 19, 8 = g - h - 3*h. Suppose -g*p = p - 15. Solve 5*c + b - 4 = -b, 6 = 2*c + p*b for c.
0
Let q(o) = -o**2 - 6*o - 6. Let r be q(-4). Let w = r - -3. Let t = 8 + -5. Solve t = h + 2*j - 8, 37 = w*h + 4*j for h.
5
Let g(b) = -4*b**2 + 3*b**2 - 3 - 5 - 8*b. Let r be g(-6). Suppose -x + 5*y + r = 11, 5*x + 5*y - 85 = 0. Solve 2*h - h - 4 = -q, 5*q = 2*h + x for h.
1
Let m = -42 + 70. Solve m = 2*n - 4*p + 4, -12 = -5*n - 2*p for n.
4
Let c be ((-1)/2)/((-3)/18). Suppose c*p = 4*p - 2. Suppose -18 = -p*r + 4*y, 2*r - 18 = 2*y - 4. Solve 5*z = -4*i - 0*z - 10, 20 = -2*i + r*z for i.
-5
Let p = 31 + 5. Let y be ((-12)/14 - 0)*21. Let d = p + y. Solve d = 2*t + t - 3*m, 0 = -4*t + 2*m + 14 for t.
1
Let q(w) = 0*w + 5*w - 3*w - 2. Let o be q(2). Solve -2*t - 5*i - 35 + 7 = 0, -o*t - 24 = 4*i for t.
-4
Let g be (-2)/(-7) - 10/(-14). Suppose y = -4 + 8. Let h = y - g. Solve -3*m + u = -3*u + 3, -5*m - h*u - 34 = 0 for m.
-5
Suppose 2*t - 8 = -f, 5*f = 2*t - 28 - 4. Suppose -b - 3*x + 5 = 0, -b - x = -t*x + 3. Let r = 7 - b. Solve -p + 9 = -4*d - 2, -r*d - 1 = 3*p for p.
3
Let u = 27 - 5. Solve -5*c + 5*m = -30, -u = -3*c + c + 4*m for c.
1
Let s be (-5)/3*(-72)/60. Solve c = -4*n + 23, -s*n + 9 = n - 2*c for n.
5
Let i(r) = 2*r + 15. Let g be i(-7). Solve -m = -g, -n + 2*m - 6 = -0*m for n.
-4
Suppose -3*f = f - v - 18, 5*f - 28 = 4*v. Solve -5*c + 3*j - 8 = -j, -f*c + 3*j = 6 for c.
0
Let j = -7 + 11. Suppose -j*z = -7 - 1, 3*z = 2*q. Solve -q*d - 14 = u, 4*d + 4*u = 5*u - 7 for d.
-3
Let t(d) = d**2 - d. Let r be t(0). Let w be 33/44 + 13/4. Solve -f - 5 = r, 7 + 11 = 2*y - w*f for y.
-1
Let u be 4/((-16)/(-10))*2. Let t be -1 + (0 + 5)*u. Solve -5*d + 4 = 2*h - 8, 2*d - t = 4*h for h.
-4
Let g = 21 - 21. Solve -i = -2*h + 3 + 4, g = -5*i - 2*h + 25 for i.
3
Let h(q) = -q**3 + 1. Let j be h(0). Suppose j = 4*b - 63. Solve -z = -p - 6*z + b, p = -z + 4 for p.
1
Let x be -1*9/3*-1. Solve 5*g = 4 - 14, 0 = x*q + g - 10 for q.
4
Let c(s) = s**2 - 3*s - 1. Let d be c(4). Solve 0 = d*b + n - 9, -n + 3*n = 4*b - 22 for b.
4
Suppose -5*m + 32 = 7. Suppose 0*o - 95 = -m*o. Solve -4*s + f = -o, -4*f + 0*f = -s + 16 for s.
4
Suppose -10*k + 100 = -5*k. Solve -2*a - a + 2*r = -k, -2*a + 28 = -5*r for a.
4
Suppose s - 27 = -15. Solve 8 = -5*r + 2*o - 0*o, 4*r - s = -3*o for r.
0
Let u be 10/(-6)*12/(-4). Let p = u - 5. Suppose 0 = -p*q - 2*q. Solve 0 = 4*n + 4*c - 5*c, -5*n - 3*c = q for n.
0
Let w be 15/(-10)*(-3 - -1). Solve 0 = -w*z - 2*z + h - 27, 0 = -3*z + 4*h - 23 for z.
-5
Suppose 2 = 2*m, 3 = 2*t - 0*m - m. Solve w + 1 = t*j, -4*w - 15 + 50 = 5*j for w.
5
Suppose r = -3*r + 4, -9 = -3*w - 3*r. Solve -3*i - 12 + 2 = w*j, -4*j = i for i.
-4
Let b be (-2)/(-6)*3 + 1. Suppose -6*k = -b*k - 16. Solve -2*s = k, -7*r - s = -2*r - 3 for r.
1
Let u be (-6)/(-4) + 28/8. Suppose u*p - 3*x = 14, 0 = -0*p - p + 5*x - 6. Solve h - p*a + 0*a = -17, -4*h - a = 17 for h.
-5
Let i(n) = -4*n + 11. Let r be i(-4). Solve -3*y + 6 = 0, 5*k + 5*y = r + 8 for k.
5
Suppose -5*f - 10 = -p, -2*p + 3*p - 2*f = 4. Solve -4*r - 3*s + 13 = -0*r, -4*r + s + 1 = p for r.
1
Suppose s = 5*i - 20, s + 3*s + 35 = 5*i. Solve -5*n - i*h = -6*h + 23, -2*n = -4*h + 12 for n.
-4
Suppose -4*i + 8 = -2*i. Let a(y) = -y - 8. Let p be a(-6). Let h be i + 37 + 2/p. Solve 2*n - 5*n = -2*w - 2, -h = -5*n - 4*w for n.
4
Suppose -8 = -19*b + 17*b. Solve -z + 4 - 7 = -p, b = 2*p - 4*z for p.
4
Let n = -71 + 49. Let m = n - -28. Solve w - m*p = -p + 13, 0 = 5*w + p - 13 for w.
3
Let x(a) = -3*a - 3. Let w be x(-2). Let p = w - -1. Suppose -4 - p = -2*b. Solve -4*m + 10 = l, b*l + 2 = 2*m + 6 for m.
2
Suppose -21*r + 66 = -18*r. Solve 3*s - 12 = 3*p, -5*p - r = 3*s - 6*s for p.
-5
Let d = 1 + 31. Let c = -22 + d. Solve -3*q + c = -h, -15 = 2*q + 5*h - 50 for q.
5
Suppose 5*a - 10*d + 15*d - 135 = 0, -5*d = -2*a + 26. Solve 2*p - 10 = 4*k, -4*k = k + p + a for k.
-4
Let l be (-2)/(-3) + 26/6. Suppose -10 = -l*o - 0*o. Suppose -o*s + 12 = s. Solve -s*h = -3*h - d, -3*h - 2*d = 25 for h.
-5
Let m = -28 + 33. Solve 2*s - 5*h + m = 0, -h + 2 + 16 = 3*s for s.
5
Let z(g) = g + 12. Suppose 2*c + 0*c + 18 = 0. Let v be z(c). Solve -v*w + 9 = -5*q, 4 = -w - 4*q - 10 for w.
-2
Suppose 38 - 8 = 6*w. Solve -3*t + 3 = 4*c, -w*t + 1 = c - 4 for t.
1
Let w = 1 - 1. Suppose 5*s - 4*v = 33, -v + 13 = 3*s - w*s. Solve -q = -s, b - 2*q + 10 = -3 for b.
-3
Suppose 5*f - 22 = 3. Let w = -13 - -4. Let q = -6 - w. Solve q*j = s - 6, 0*j + f*j = -5 for s.
3
Suppose -m - 2 = -3*m. Let a = 5 + m. Let k be (-2)/(-6) - (-22)/a. Solve 0*i = -2*i - 3*l - 5, 0 = -k*i + 3*l - 1 for i.
-1
Suppose 4*t - 3*t = 3*g - 4, -8 = 2*t. Let p = 18 - 13. Suppose p*f + 19 = b, 4*b - 4 - 40 = 4*f. Solve b = -3*a - g*i - 2*i, a - 8 = 3*i for a.
-1
Let p be 30/6*(-2)/(-5). Suppose p*t - 6 = 2. Solve t*k - 5*i + 6 = 0, -i = k + k + 10 for k.
-4
Let v(o) = -o**2 + 3*o - 1. Let w be v(3). Let k be (2 + -1)/(w/4). Let b be 0*1/k*2. Solve -5*x = -3*i - b*x - 18, -9 = -3*x for i.
-1
Suppose 5*n = 3*n + 8. Solve 0 = 3*p - 5*a + n, -14 = -3*p - 0*p - 4*a for p.
2
Let i(t) = t**2 + 6*t - 9. Let m be i(-7). Let w = 0 - m. Solve -d - 3 = u - 2*d, 0 = -w*d - 2 for u.
-4
Suppose 2*p + 0 = 4. Let b = -33 - -34. Solve p*c - 3*c - b = -2*y, 21 = 3*y + 5*c for y.
2
Let g be 0*(-1)/(-3)*3. Suppose 2*b + v = -g*v + 5, 9 = 3*b + 3*v. Solve 4*f - 14 = 2*f + b*j, -5*f - j = -23 for f.
5
Let j(c) = -c**2 + 4*c + 4. Let z be j(4). Solve z*b - 16 = 8*b, 5*t - 2*b = -7 for t.
-3
Let s = -8 + 13. Suppose t - s = -23. Let y be (-86)/t - (-2)/9. Solve -g + y*n = 4*g, -3*g - 2*n = -10 for g.
2
Let g(n) = -8*n**3. Let s be g(1). Let p be (s + 5)/(1/(-1)). Solve 0 = o - 0*a - 4*a - 2, o + p*a = -5 for o.
-2
Suppose -v - 25 = -6*v. Suppose -2*c = -3 - v. Solve 0 = c*o + 4*b + 20, -2*o - 3*b = -o + 9 for o.
-3
Let w = -10 - -8. Let f be (w - -1)/(-1)*0. Solve -4*v + 24 = -4*p, 4*p + 4*v + 10 + 6 = f for p.
-5
Suppose p - 3*p + 30 = 4*c, -2*p = -5*c + 15. Suppose -2*f + f = -p. Solve -4*o - 4*m = -2*o + 12, f*o - 5*m = 30 for o.
2
Let u = -15 - -17. Let a = 19 - u. Suppose 0 = 4*n - 2 - 10. Solve c = -q - 6, -a = n*q - 5*c - 7 for q.
-5
Suppose 0 = -2*s - 10, h = -5*s - 21 - 10. Let o = h + 9. Solve 15 = -2*g - 5*n - 3, 0 = o*g - 2*n - 11 for g.
1
Let i(j) = -j**3 + 6*j**2 - 4*j - 1. Let d be i(4). Solve 3*c + 0*q - 3*q = d, -4*c - 3*q = -6 for c.
3
Let a be (-20)/(-5) - (2 + -1). Solve -5*d + 25 = -a*l, l + 2*d - 10 = -0*d for l.
0
Suppose -3*k = b + 9, 2*k + 25 = -3*k. Let j(u) = -u**2 + 7*u - 2. Let i be j(b). Solve -12 = 4*x + i*m, 0*m = -5*x + 2*m - 15 for x.
-3
Suppose -22 = -2*l - 7*d + 4*d, 5*d = -3*l + 35. Solve 5 = l*h, -2*h = -5*t - h + 19 for t.
4
Suppose 6*g - 42 = 24. Solve -v + 9 = -2*u, -u + 5*v = -5*u - g for u.
-4
Let r(o) = -2*o - 7. Let u be r(-6). Solve 2*y = 4*w + 8 + 8, 5*y + u = -5*w for y.
2
Suppose 0 = l + 4, 4*l + 0*l - 44 = -5*p. Let c(a) = a**2 - 13*a + 16. Let u be c(p). Solve -u*z + 5*z = 2*m - 3, -z = 3*m - 17 for m.
4
Suppose 9 + 26 = 5*w. Solve -4*n = 4*z + w - 31, -14 = -5*z + 3*n for z.
4
Let p(f) = -3*f**2 + f + 8. Let z be p(0). Solve -o = 2*v - 1, -o + 1 = -z*v + 4*v for v.
0
Let l = -42 + 44. Solve 4*c + 0*c = 2*t - 14, l*t - 4 = 2*c for t.
-3
Let i(s) = s + 18. Let b be i(0). Solve u + b = -3*a, -5*u - 4*a + 2*a = 25 for u.
-3
Let o be 1 + 2/(-3 + 5). Solve -4*n = 3*i + 1, -o*n + 4*i + 18 = n for n.
2
Let p be (1/3)/((-40)/(-36) + -1). Suppose 3 = 3*v - f + 9, -5*v - 5*f - 10 = 0. Let u = 0 - v. Solve d + 3 = -b, -u*b - 7 = p*d + 3 for d.
-4
Suppose -10*t + 30 + 120 = 0. Solve t = 3*q - 0*q, -4*q + 12 = 4*j for j.
-2
Suppose 0 = b + 4*d + 10, 0 = -4*b - 0*b + 3*d + 17. Let f(c) = c**3 - 8*c**2 - c + 10. Let o be f(8). Solve 0 = o*s + 5*l + 16, b*s - 2*l - 2 = -4 for s.
-3
Suppose 3 = 3*a - 3. Suppose 0 = -a*z + 4*z - 16. Let f(l) = -l**2 + 10*l - 2. Let p be f(z). Solve -7 = -3*u + 2*u + s, -p = -4*u - 3*s for u.
5
Suppose 3*s + 3 = v, -3*s + 24 = -5*v + 3. Let p = v - -15. Solve 4*q = -4*j + 24, 3*j - 24 + p = -2*q for j.
3
Suppose -4*w = -2*w. Suppose w = t - 2*t + 2. Solve 4*h = -3*r + t*h - 21, 0 = -2*r + 4*h + 2 for r.
-5
Suppose 0 = q - 2. Suppose q*h + 4 = -4*w - 2*h | {
"pile_set_name": "DM Mathematics"
} |
a + -26. Let u(v) = -3*v - 2. Determine u(j).
-8
Let n = -1 + -9. Let h(d) be the second derivative of -1/6*d**3 + 0 - 5/2*d**2 - 24*d. What is h(n)?
5
Let i(k) = 4*k + 38 + 29 + 36 + 44 - 120. What is i(-11)?
-17
Suppose -2*s - 14 + 12 = 0, -2*o + 4*s + 50 = 0. Let h(t) = 11 - o + 10 + 6*t. Calculate h(6).
34
Let c(v) be the second derivative of -v**5/20 - v**4/6 + v**3/6 - v**2/2 - 4*v - 285. What is c(-6)?
137
Suppose -190*t = -187*t - 57. Let u(l) be the first derivative of t + 7/2*l**2 - 1/3*l**3 - 3*l. Calculate u(6).
3
Let z be 4/(-8)*2/1 - -1. Suppose -2*i + 2*l = -z*i, 5*i - 6 = -l. Let j be (-24)/(-8) - (-2)/i. Let d(f) = 5*f - 4. Calculate d(j).
21
Suppose -8*u = -15 - 25. Let g(o) = -u + 1 + 0*o + 5*o - 3*o. Let y be (10/(-5))/4 - (-18)/4. Determine g(y).
4
Let o(q) = -2*q + 8. Let m(f) = -2*f + 5. Let w(h) = 7*m(h) - 5*o(h). Let a = 0 + -6. Determine w(a).
19
Let w(r) be the third derivative of -r**6/24 - r**5/60 - 1433*r**2. Let t(g) = -g**3 - 10*g**2 + 23*g - 11. Let x be t(-12). Determine w(x).
-6
Suppose 22*m = 197 + 111. Suppose 4*v + 0*l - 65 = 5*l, 5*v - 103 = -l. Let k = m - v. Let p(b) = -2*b - 5. Determine p(k).
7
Let t be (-1 - 4) + 24 + -24. Let o(f) = 4*f + 17. Calculate o(t).
-3
Let t(f) = 366 - 747 + f + 369. Suppose -4*x - 8 = 0, -3*c + 28 = -2*x + 6. What is t(c)?
-6
Let t(g) = g**3 + 10*g**2 - 12*g - 2. Let z be t(-11). Let f(j) = -10 + 2*j**2 + 3*j - j**2 + z - 1. Suppose 29*x - 31*x - 8 = 0. Give f(x).
2
Suppose -8 = 3*w + 4, 5*q - 2*w + 82 = 0. Let a be 3 + 5/(15/q). Let p be 2/6*a*1. Let s(u) = 19*u**2 + 2*u + 1. Determine s(p).
18
Let s(h) = 3*h**3 - 2*h**2 - 2*h + 1. Let l(z) = 2*z**2 + 38*z + 26. Let n be l(-13). Let g = n - -136. Suppose g*w + 24 = 36. Determine s(w).
13
Let q(u) be the third derivative of u**4/8 - 28*u**3/3 - 10*u**2. Let j = 596 - 579. Calculate q(j).
-5
Let j(u) = -15*u + 1. Let g = -278 - -281. Let r be (g + 0 + -4)/1. Give j(r).
16
Let b(k) = -6 + 4*k - 1 + 2*k - 7*k + k**2. Let u be 8/2 - 3 - -21. Suppose -4*g + y = -23, g = -4*g - y + u. What is b(g)?
13
Let b(z) = -26*z - 22. Let f(j) = 3*j + 2. Let m(v) = 3*b(v) + 24*f(v). Give m(10).
-78
Let s(c) = 4*c - 45. Let z be s(9). Let d be (-66)/(-2)*3/z. Let o(a) = 2*a + 9. Determine o(d).
-13
Let o(c) = -4*c**2 + 17*c + 19. Let b(l) = l**2 - l - 1. Let g(u) = 5*b(u) + o(u). Give g(-8).
-18
Let k(q) = -2*q + 2. Let o(y) = -y - 3. Let i(s) = -3*k(s) + 5*o(s). What is i(27)?
6
Let g = -1021 + 1016. Let r(u) = 10*u + 1. What is r(g)?
-49
Let j = 31 + -23. Suppose -3*q = -g - 2, -2*q - j = -3*g - 0. Suppose 5 = -g*p + 3*p. Let b(m) = -m**2 - 5*m + 1. What is b(p)?
1
Let y(z) = -10*z - 42. Let p be y(-7). Let h(n) = -61*n + p*n**2 + 31*n + 29*n. Determine h(1).
27
Let u(h) = h**2 + 16*h - 34. Let o be u(-18). Let f be 0 - (-3 - -6)*(1 + -2). Let y(m) = -3*m + f*m + 2 - 4*m. Give y(o).
-6
Let x(c) = -5*c + 9. Let l be -1*29/(-9) - (-46)/(-207). Suppose 5*r = 3*r + l*s, 3*r - 3*s = 6. What is x(r)?
-21
Let u(o) be the second derivative of o**4/12 + 4*o**3/3 - 1037*o. Give u(-8).
0
Let b(r) = r**2 - 2*r - 5. Let h(t) = t**2 - 7*t + 5. Let l = 70 + -70. Suppose 2*w = -l*w + 14. Let p be h(w). Calculate b(p).
10
Let t = 1139 + -1129. Let v(y) = 2*y - 14. Give v(t).
6
Let t(r) = -2*r**2 + 37*r - 10. Suppose -131*u + 782 = -1058 - 518. Calculate t(u).
8
Let q be (-7 - -7)*3/15 - -3. Let j(r) = 9*r - 13*r + r + 6*r - q*r**2. Give j(2).
-6
Let i(f) = 2*f**3 - 18*f**2 - 2*f + 8. Suppose 0 = 4*q + 20, 113*y - 116*y - 3*q = -12. What is i(y)?
-10
Let l(x) be the first derivative of -x**6/120 - x**5/10 - x**4/24 + x**3/2 - 7*x**2 + x + 38. Let k(p) be the second derivative of l(p). Calculate k(-6).
9
Let m be (43 - 42)*(2*-1 + 6). Let p(v) = 7*v - 4. Determine p(m).
24
Let q(x) = -20*x**2 + 14*x**2 + 0*x + 3*x**2 + 5*x**2 + 2*x - 9. Calculate q(2).
3
Let p(a) be the third derivative of 0*a - 1/3*a**3 - 1/120*a**6 - 1/24*a**4 - 194 + 2*a**2 + 1/20*a**5. Give p(4).
-22
Let g(j) = 2*j**2 + 22*j + 25. Let p(q) = q**2 + 11*q + 13. Let h(z) = -4*g(z) + 7*p(z). Suppose 5*o - 2*v + 50 = 0, -5*v + 30 = 28*o - 31*o. Determine h(o).
1
Suppose -205 = -4*g - h + 6*h, -h = 1. Suppose -479*u = -484*u - g. Let o(c) = 5*c + 8. Give o(u).
-42
Let c be -1 + 0 + 9/((-45)/(-10)). Suppose -4*f - 4*k + 36 = 0, -5 = -2*k - c. Let q(d) = 7*d**2 + d**3 + 1 - 2*d**3 + 1. Determine q(f).
2
Let n(y) = -6*y - 38. Let j(g) = -g**3 + 2*g**2 + 358*g - 46. Let p be j(-18). What is n(p)?
22
Let y(z) = z**3 - z**2 + 8. Suppose -5*c = -3*k + 7, 2*c = 4*k - 15 + 1. Suppose -5*l = -o - 15, k*l - 12 = 6*o - 8*o. What is y(o)?
8
Let m(s) = -3*s**2 - 3*s + 2. Let q(i) be the second derivative of i**5/20 + i**4/6 - i**3/6 + i**2/2 + i + 30. Let b be q(-1). What is m(b)?
-34
Let i be -8 + (-13 - -8)/(-5)*(10 - 3). Let t(v) = 13*v**2 + 12*v + 12. What is t(i)?
13
Let t(j) = -j**3 + j - 1. Let k(v) = 6*v**3 - 8*v + 8. Let o(f) = k(f) + 5*t(f). Suppose 0 = -5*i - 255 + 240. Give o(i).
-15
Let n(x) = x**3 + 3*x**2 + 3*x + 4. Let o = 9 + -5. Let k = -4065 - -4076. Suppose -5*h - k = -u, h - u - 17 = o*u. Calculate n(h).
-5
Let i(c) = -52*c**2 + 3*c - 2. Let q = 9260 + -9259. What is i(q)?
-51
Let k(x) = 290 + 2*x - 610 + 333. What is k(-6)?
1
Let t = -2301 - -2300. Let o(z) = 3*z**2 - 3. Calculate o(t).
0
Suppose 16*s + 80 = 48. Let p(l) = -8 + 4 - 2*l - 1 + 2. Determine p(s).
1
Let k(z) = 2*z**2 + 12*z + 27. Let o(u) = -10*u - 123. Let a be o(-12). Let s be k(a). Let r(b) = -b**3 + 8*b**2 + 9*b - 2. What is r(s)?
-2
Let b(l) = 3*l**3 - 270*l**2 - 276*l + 266. Let v be b(91). Let f(t) = t**2 + 6*t - 20. Determine f(v).
-13
Let i(d) be the second derivative of 5*d**3/3 - d**2/2 - 3*d. Suppose 0 = -2*m - 2 + 10. Suppose -m*j = -0*j - 4. What is i(j)?
9
Let a(s) = 123*s - 25. Let l(o) = 338*o - 74. Let b(x) = -11*a(x) + 4*l(x). What is b(-9)?
-12
Let c be (-4)/(-22) + (-36)/(-44) + 2. Let x(a) = 12463*a + 0*a**c - 12459*a - a**3 + 4*a**2. Determine x(5).
-5
Let c(u) = 5*u - 1. Let b = -17 - -19. Let y(d) = -b*d + 3 - 19*d + 1. Let w(n) = 26*c(n) + 6*y(n). Give w(-3).
-14
Let k(h) = 2*h**3 - 11*h**2 + 13*h + 4. Let a(x) = 136*x + 1092. Let i be a(-8). Give k(i).
8
Let l = 432 - 435. Let j(x) = -2 - 8*x**2 - 5 + 6*x**2 + 3*x**2. Give j(l).
2
Let s be (1302/124)/(0 + 3/4). Suppose 13*h = -92 + s. Let g(p) = p**2 + 12*p + 1. What is g(h)?
-35
Let f(w) be the third derivative of w**5/60 - 7*w**4/6 + 23*w**3/2 + 250*w**2. Calculate f(25).
-6
Let d(l) = -2*l**3 - 8*l**2 - 6*l - 4. Suppose 189*o + 765 = 24*o - 90*o. Calculate d(o).
-4
Let f(l) = -402*l + 1600. Let o be f(4). Let p(s) = 9*s + 57. Give p(o).
-15
Let c(r) = -r**2 - 5*r + 4. Let x(i) = 9*i - 8. Let n(l) = -7*l**2 + 3*l + 2. Let w be n(-1). Let s be x(w). Let y = -86 - s. Determine c(y).
-2
Let i(q) = -q**3 + 11*q**2 - 9*q - 12. Suppose -w = -10*t + 13*t + 272, -3*t = 3*w + 828. Let h = 288 + w. Give i(h).
-2
Suppose 0*d + 43*d - 73 - 99 = 0. Let c(s) be the third derivative of 0 - 1/60*s**5 - 6*s**2 - 9/40*s**6 + 0*s + 1/24*s**d - 1/6*s**3. Give c(1).
-28
Let y(a) = -a + a**2 - 2*a + 2*a**2 + 3. Let u(f) = -34*f - 257. Let o be u(-8). Let t(c) = c**3 - 20*c**2 + 75*c + 2. Let x be t(o). Give y(x).
9
Let x(g) = g**3 + 5*g**2 + 3*g - 1. Let y be 1/(-4) + 13/4. Let s be (4 - y) + 4/(-1) - 1. Determine x(s).
3
Let a(r) = -r**2 - 12*r - 4. Suppose 0 = 7*t - 11*t + 12. Suppose t*q - 589 = -616. Calculate a(q).
23
Suppose 0 = -2*q - 3*o - 12, 0 = 2*q - 24*o + 22*o - 8. Let b(p) = q + p - 3 - 2 - 1. Let f be -1 - 4/1*-2. Give b(f).
1
Let f(z) = 24*z - 1. Let m(t) = 65*t + 52. Let n(c) = -6*c - 5. Let o(b) = 5*m(b) + 52*n(b). Let j(d) = -6*f(d) + 11*o(d). Give j(4).
2
Let v(j) be the third derivative of -5*j**4/12 + j**3/6 - 2*j**2 - 10*j. Calculate v(2).
-19
Let i(v) be the third derivative of -v**5/30 - 23*v**4/12 - 17*v**3/2 + 3*v**2 - 8. Calculate i(-22).
-7
Suppose -3*i = -3*m + 114 - 51, 4*i - m + 72 = 0. Let b(t) = -t**2 - 12*t + 19. Give b(i).
-66
Let b(l) = -l**3 - l**2 - 3*l - 2. Let o(d) = 4*d**3 - 3*d**2 + 19*d - 1. Let z(x) = -3*b(x) - o(x). Calculate z(4).
-1
Let p(s) = -3*s**2 + 5*s - 6. Let v(c) = -5*c**2 + 10*c - 11. Let j(a) = -a - 10. Let b be j(-17). Let m(n) = b*p(n) - 4*v(n). What is m(-7)?
-12
Let m(t) = -199*t**3 - 208*t**3 - 4*t | {
"pile_set_name": "DM Mathematics"
} |
2025010 a multiple of 70?
True
Does 1902 divide 40369522?
False
Is 80 a factor of 353975680?
True
Is 25 a factor of 1396022687?
False
Does 52 divide 24311716?
True
Is 253849700 a multiple of 325?
True
Is 17 a factor of 581282269?
False
Is 74013658 a multiple of 46?
False
Does 22 divide 4851430?
False
Is 16 a factor of 209387471?
False
Does 4801 divide 522348800?
True
Is 249 a factor of 17850312?
True
Does 15 divide 2304611031?
False
Does 41 divide 192270648?
True
Is 11558096 a multiple of 81?
False
Is 55626413 a multiple of 146?
False
Does 41 divide 557804180?
True
Does 6868 divide 214467036?
True
Does 6 divide 989922?
True
Is 8559038 a multiple of 43?
False
Is 44 a factor of 556273064?
False
Does 583 divide 365916452?
True
Is 231 a factor of 378744135?
True
Does 18 divide 69425838?
True
Is 874 a factor of 2502009414?
True
Does 465 divide 918760855?
False
Does 4 divide 29620183?
False
Does 103 divide 115942053?
True
Is 30 a factor of 27053092?
False
Is 96594576 a multiple of 312?
True
Is 38053095 a multiple of 260?
False
Is 142350027 a multiple of 19?
False
Is 29 a factor of 618564403?
True
Does 110 divide 876519928?
False
Is 1558 a factor of 442459536?
True
Is 5 a factor of 85821815?
True
Is 1256499993 a multiple of 1491?
True
Does 413 divide 1790355?
True
Is 2330 a factor of 38116470?
True
Is 914451982 a multiple of 207?
False
Does 2209 divide 38800815?
False
Is 105789348 a multiple of 1107?
True
Is 187 a factor of 8600927?
False
Does 4 divide 23642349?
False
Is 103 a factor of 308637337?
True
Is 13437035 a multiple of 57?
False
Is 7858 a factor of 1779813426?
True
Is 84093237 a multiple of 51?
True
Does 3376 divide 4345091041?
False
Does 4 divide 7717308?
True
Is 55 a factor of 44371271?
False
Is 10939001 a multiple of 130?
False
Is 147300102 a multiple of 6?
True
Is 4293850 a multiple of 185?
True
Is 12 a factor of 177207012?
True
Is 1016 a factor of 2538930777?
False
Is 7110 a factor of 841457402?
False
Is 10 a factor of 69621890?
True
Is 16799944 a multiple of 238?
True
Is 110 a factor of 408320?
True
Is 1068 a factor of 7134710?
False
Is 139 a factor of 13025412?
True
Is 210 a factor of 4534491360?
True
Is 13 a factor of 124401076?
False
Is 70288584 a multiple of 101?
False
Is 570 a factor of 502487940?
False
Does 17 divide 181966514?
False
Does 15 divide 13951284?
False
Does 402 divide 15291786?
False
Does 154 divide 9332092?
True
Does 39 divide 99417186?
False
Does 236 divide 517368876?
True
Is 3638 a factor of 374096355?
False
Is 18803030 a multiple of 890?
True
Is 960 a factor of 53382720?
True
Is 116218107 a multiple of 9?
True
Is 11 a factor of 326428729?
True
Does 38 divide 391873907?
False
Is 260443548 a multiple of 2803?
True
Is 1610288424 a multiple of 9288?
True
Does 335 divide 259051145?
True
Is 23 a factor of 86064229?
True
Is 230858096 a multiple of 247?
False
Is 9 a factor of 31613141?
False
Does 17 divide 456775278?
True
Is 95355284 a multiple of 55?
False
Does 781 divide 387794616?
True
Is 870159960 a multiple of 20?
True
Is 679 a factor of 44833994?
False
Does 822 divide 22164408?
True
Is 192827590 a multiple of 29?
False
Is 1464854858 a multiple of 53?
False
Does 5 divide 13058824?
False
Is 35868037 a multiple of 487?
True
Is 1845365468 a multiple of 58?
True
Is 17 a factor of 31934279?
True
Is 601094699 a multiple of 10063?
False
Is 128 a factor of 956553984?
True
Is 16007192 a multiple of 25?
False
Does 1366 divide 53071201?
False
Is 54 a factor of 231096294?
True
Is 872 a factor of 93355414?
False
Is 37332944 a multiple of 1892?
True
Is 85 a factor of 46597595?
True
Is 286276066 a multiple of 214?
False
Does 62 divide 265264104?
False
Is 116 a factor of 328184184?
True
Is 184 a factor of 1643156064?
True
Is 1366 a factor of 19951102?
False
Is 3502509088 a multiple of 416?
True
Is 257753341 a multiple of 13?
False
Does 901 divide 2408442690?
False
Is 412 a factor of 2870960?
False
Does 39 divide 650199678?
False
Does 380 divide 845410?
False
Does 14 divide 20327286?
True
Does 123 divide 29259855?
True
Does 1677 divide 2817041370?
True
Does 331 divide 643241808?
False
Is 6655276829 a multiple of 14434?
False
Does 828 divide 10559484?
True
Is 584653620 a multiple of 60?
True
Does 18 divide 19498492?
False
Is 15 a factor of 354635937?
False
Is 2154 a factor of 1274635962?
True
Does 3195 divide 110070945?
True
Does 1348 divide 18836952?
True
Does 3221 divide 307218821?
False
Does 36 divide 80554440?
False
Is 1337 a factor of 51507051?
False
Is 28 a factor of 105421904?
True
Does 7 divide 817934?
False
Is 10 a factor of 175088356?
False
Does 14 divide 277243470?
True
Is 4815 a factor of 1535352740?
False
Is 109 a factor of 390063903?
False
Is 342854204 a multiple of 452?
True
Is 1566 a factor of 5480010?
False
Is 31 a factor of 54305674?
False
Is 1436362 a multiple of 123?
False
Is 17 a factor of 64696752?
False
Is 97 a factor of 27464355?
False
Is 39081328 a multiple of 21?
False
Does 20 divide 2769780?
True
Does 4802 divide 202149794?
True
Is 3401 a factor of 1032166089?
True
Does 25 divide 429699550?
True
Does 808 divide 5057623138?
False
Is 23 a factor of 278018411?
True
Does 1612 divide 106514512?
True
Is 288 a factor of 2132284090?
False
Does 530 divide 249944883?
False
Is 28705502 a multiple of 122?
True
Is 154 a factor of 460084199?
False
Does 10 divide 185127240?
True
Is 512 a factor of 75092595?
False
Is 258835566 a multiple of 4026?
True
Is 29676920 a multiple of 434?
True
Is 5 a factor of 11616600?
True
Is 3230 a factor of 154410150?
True
Is 5927452440 a multiple of 420?
True
Does 1157 divide 24941449?
True
Is 10219768 a multiple of 676?
True
Is 1600 a factor of 326772015?
False
Is 19999150 a multiple of 344?
False
Does 270 divide 3639713?
False
Does 3136 divide 373761024?
True
Does 62 divide 215557900?
False
Is 241202568 a multiple of 339?
True
Does 2832 divide 49266592?
False
Is 114488244 a multiple of 18?
True
Does 963 divide 234000928?
False
Is 9784827 a multiple of 155?
False
Does 6082 divide 3541755388?
True
Is 3146 a factor of 1184831863?
False
Is 65 a factor of 161469016?
False
Does 20 divide 3200314?
False
Is 9160 a factor of 2274965855?
False
Is 840 a factor of 114685200?
True
Is 109 a factor of 57365610?
True
Does 1774 divide 49959388?
True
Is 2811 a factor of 2297260541?
False
Does 627 divide 57575384?
False
Is 11 a factor of 237604826?
False
Is 5433 a factor of 1831030407?
False
Is 99080331 a multiple of 3?
True
Is 9 a factor of 17368710?
False
Is 92 a factor of 74479002?
False
Is 1154 a factor of 19637618?
True
Is 11576544 a multiple of 107?
True
Does 457 divide 179578350?
False
Does 14 divide 3869321925?
False
Does 181 divide 42708036?
True
Is 4219635 a multiple of 35?
True
Does 92 divide 61185428?
True
Is 66 a factor of 1906117295?
False
Does 2518 divide 97978549?
False
Does 1039 divide 3456953527?
True
Is 13 a factor of 124024256?
False
Is 153651750 a multiple of 74?
True
Does 12 divide 12156096?
True
Is 72462863 a multiple of 11?
True
Does 67 divide 10224535?
True
Does 15 divide 417609750?
True
Is 16 a factor of 22854892?
False
Is 119 a factor of 10187487?
False
Does 250 divide 1988845830?
False
Does 91 divide 480080432?
False
Is 24442992 a multiple of 24?
True
Is 205 a factor of 97368354?
False
Is 2321010 a multiple of 10?
True
Is 120587268 a multiple of 181?
True
Does 4 divide 1070920?
True
Is 496 a factor of 17919488?
True
Is 13688048 a multiple of 22?
True
Is 320 a factor of 1094016337?
False
Is 139475346 a multiple of 1512?
False
Is 1176 a factor of 203608190?
False
Is 40675352 a multiple of 19?
True
Is 11080053 a multiple of 419?
False
Does 885 divide 3165645?
True
Is 2892689264 a multiple of 16?
True
Is 2405700 a multiple of 8748?
True
Is 222294252 a multiple of 3?
True
Does 13 divide 555765652?
True
Is 198 a factor of 201070188?
True
Does 89 divide 4732721?
False
Does 3 divide 31920909?
True
Does 523 divide 26890842?
False
Is 18 a factor of 1223863776?
True
Is 13 a factor of 399360715?
True
Is 24 a factor of 779447376?
True
Is 118 a factor of 16199998?
False
Is 612619152 a multiple of 444?
False
Does 98 divide 127878987?
False
Does 4 divide 245916954?
False
Does 7753 divide 187117481?
False
Is 22567082 a multiple of 21?
False
Does 262 divide 469620577?
False
Is 28456730 a multip | {
"pile_set_name": "DM Mathematics"
} |
*v - 4. Let u(t) = 10*t**2 - 3*t + 3. Determine 3*k(h) + 4*u(h).
7*h**2
Let i(s) = -28*s - 16. Let x(b) = -7*b - 4. Give 2*i(o) - 9*x(o).
7*o + 4
Let p(t) = -t**2 + 1. Let c = 20 + -17. Let z(f) = f**2 - f - 3. Give c*p(r) + z(r).
-2*r**2 - r
Let h(y) = -1. Let w(c) = c - 39. Give -6*h(n) + w(n).
n - 33
Let s(c) = 5*c - 9. Let j(v) = 2*v - 4. Let f be -1*(-3 - -4) + 7. Determine f*s(q) - 14*j(q).
2*q + 2
Let l(f) = -4 + 7 - 4*f - 5*f. Let n(r) = 14*r - 5. Let x(b) = -b**3 - 8*b**2 + 7*b - 13. Let h be x(-9). Give h*n(k) + 8*l(k).
-2*k - 1
Let z(f) = -5*f**2 - 11*f - 6. Let u be ((-4)/3)/((-5)/15). Let o(i) = -i**2 - 2*i - 1. Calculate u*z(n) - 22*o(n).
2*n**2 - 2
Let n(r) = -24*r + 14. Let d(m) be the third derivative of -5*m**4/24 + m**3/2 + m**2. Suppose 0 = 3*a + 2*a - 70. Calculate a*d(o) - 3*n(o).
2*o
Let o(x) = 2*x**2 + 4*x. Let p be 2 + (-3)/(-9) - 14/(-21). Let d(b) be the second derivative of -b**4/6 - b**3/2 - b. Calculate p*o(k) + 4*d(k).
-2*k**2
Suppose l + 2*i + 2 = 0, -4*l = -i - 6 - 4. Let m(u) = -4*u**3 + 2*u**2 + u. Suppose 12*g = 93 + 15. Let n(p) = 17*p**3 - 8*p**2 - 4*p. What is g*m(r) + l*n(r)?
-2*r**3 + 2*r**2 + r
Let i = 535 - 529. Let g(k) = -k + 1. Let l(t) = -1 + 8*t - 3 - 2. What is i*g(r) + l(r)?
2*r
Let y(o) = 2*o**3 + 2*o. Let i(l) be the third derivative of l**4/24 + 17*l**2. What is 4*i(h) - y(h)?
-2*h**3 + 2*h
Let z(m) = -m**3 + 2*m**2 - 2*m + 2. Let a(p) = -4*p**3 + 9*p**2 - 9*p + 9. What is 4*a(s) - 18*z(s)?
2*s**3
Let d(k) = k**2 - k - 1. Let m(w) = 2*w + 3. Determine 4*d(c) + m(c).
4*c**2 - 2*c - 1
Let l(w) be the third derivative of -w**6/12 + 13*w**5/30 + 11*w**4/24 - w**3 + w**2 + 32. Let d(k) = 2*k**3 - 5*k**2 - 2*k + 1. Calculate 11*d(s) + 2*l(s).
2*s**3 - 3*s**2 - 1
Let m(y) = -5*y**2 - 2*y. Let j = 16 + -11. Let u(w) = -6*w**2 - 3*w. Determine j*m(h) - 4*u(h).
-h**2 + 2*h
Let f = 37 - -40. Let h(q) = 3*q**2 - 2*q**2 - 78 + f - 2*q. Let m(x) be the second derivative of -x**4/4 + 7*x**3/6 + 2*x**2 + 2*x. Give -14*h(s) - 4*m(s).
-2*s**2 - 2
Let y(v) = 870*v**3 - 135*v + 135. Let i(z) = -13*z**3 + 2*z - 2. What is 135*i(c) + 2*y(c)?
-15*c**3
Suppose -2*z = 3*o + 5, -2 = 2*o + 4*z + 4. Let c(a) = a + 1. Let k(w) be the second derivative of -w**5/20 - w**3 - 3*w**2 - 2*w. Determine o*k(j) - 6*c(j).
j**3
Let l(m) = m - 1. Let t(f) = -2*f + 2. Let s(i) = -7*l(i) - 4*t(i). Let x(b) = -b**3 - 4*b. Give 2*s(d) + x(d).
-d**3 - 2*d - 2
Let y(h) = h**2 + 5*h. Let t(q) = -q. What is -5*t(o) - y(o)?
-o**2
Let t(r) = -21*r. Let m(b) = -4*b. Let f(p) = -11*m(p) + 2*t(p). Let a(v) = -7*v + 3*v - 2*v. Let c = 9 - 26. Calculate c*f(k) - 6*a(k).
2*k
Let p(c) = -4*c + 8. Let h(w) be the third derivative of -7*w**4/24 + 5*w**3/2 - 5*w**2. What is -6*h(v) + 11*p(v)?
-2*v - 2
Let c(r) = 2*r**3 + 2*r. Let a(f) = 2*f**2 + 10*f + 2*f**2 + 4*f**3 - 5*f**2 + 6*f**3. Calculate -2*a(v) + 11*c(v).
2*v**3 + 2*v**2 + 2*v
Let p(h) = h**2 + 5. Let w(l) = l**3 + 4*l**2 - 9*l + 13. Let y be w(-6). Let k(n) = 0 + 2 + 0. Calculate y*k(v) + 2*p(v).
2*v**2
Let t(d) = -2*d + 5. Let r(z) = 2*z - 5. Calculate -7*r(j) - 6*t(j).
-2*j + 5
Let x(i) = 23 + 3*i - 3*i - 12 + 14*i**2 + 14*i. Let o(d) = 5*d**2 + 5*d + 4. Give -11*o(p) + 4*x(p).
p**2 + p
Let p(n) = n - 1. Let i be p(7). Suppose 2 = g - 0*g. Let x(z) = 2 + 3 + 5*z**2 - g*z - 5. Let v(u) = -4*u**2 + 2*u. Give i*v(c) + 5*x(c).
c**2 + 2*c
Let j(c) = -28*c**3 + 5*c**2 - 5. Let q(y) = 630*y**3 - 112*y**2 + 112. What is -112*j(b) - 5*q(b)?
-14*b**3
Let i(u) = -5*u**2 - 2*u + 8. Suppose 8 = -10*z - 2. Let g(t) = -1 - t**2 + 0*t**2 + 2. What is z*i(q) + 6*g(q)?
-q**2 + 2*q - 2
Let c(w) = 5 + 2*w + 0 - 2*w**2 - w**2. Let i(j) = 8*j**2 - 6*j - 14. Let v be (-5)/(-20) + 43/4. Calculate v*c(m) + 4*i(m).
-m**2 - 2*m - 1
Suppose -2*j - 3*j = -w - 30, 2*w + 4*j - 10 = 0. Let f(d) = -1. Let y(a) = -a - 5. Let m be -1 - (-4)/6*3. Determine m*y(b) + w*f(b).
-b
Let x(d) = -4*d - 2. Let s be 14/(-3) - (-6)/(-18). Let m(q) = -5*q - 3. What is s*m(f) + 6*x(f)?
f + 3
Let d(y) = 2*y + 5. Let r(i) = -2*i - 6. Suppose f - 5*v - 5 = 0, -5*f + 8*v = 3*v - 25. Give f*d(n) + 4*r(n).
2*n + 1
Let y(r) = 13*r**2 + 9. Let w(l) be the third derivative of l**5/20 + l**3/3 + 6*l**2. What is -9*w(g) + 2*y(g)?
-g**2
Let r(v) be the third derivative of 5*v**4/24 - 4*v**3/3 - 63*v**2. Let h(c) = -1. What is 6*h(f) - r(f)?
-5*f + 2
Suppose -5*k - 3*n - 65 = 0, -k + 15 = 3*n - 8*n. Let y = 21 + k. Let t(a) = -4*a. Let p(b) = 7*b. Determine y*t(i) + 6*p(i).
-2*i
Let w(c) = -82*c**2 - c - 2. Let f(m) = m + 1. Determine -2*f(q) - w(q).
82*q**2 - q
Let g(p) = -3 + 9*p - p - 5*p. Let q(u) = -3*u - 4*u + 3*u + 4. Give -6*g(v) - 5*q(v).
2*v - 2
Let g(u) = -6*u**2 - 12*u**3 - 10*u - 5 + 5 - 4*u**2. Let i(w) be the third derivative of w**6/120 + w**5/60 + w**4/24 + 5*w**2. Give g(q) + 10*i(q).
-2*q**3
Suppose 9 + 19 = 7*z. Let f(o) = -2*o - 5. Let x(r) = 2*r + 6. What is z*x(d) + 5*f(d)?
-2*d - 1
Let k(a) = -a**3 - 2*a**2 + 3*a. Let u(h) be the first derivative of -h - 1/2*h**4 - 5/3*h**3 + 7/2*h**2 - 3. What is -5*k(d) + 2*u(d)?
d**3 - d - 2
Let b = -7 - -2. Suppose a - p - 2 = 0, -16 = 4*p - 12. Let c(r) = -r**2 - r + 1. Let t(i) = -4*i**2 - 5*i + 6. Calculate a*t(z) + b*c(z).
z**2 + 1
Let u(c) = -2*c - 124 + 125 - c. Let w(k) = k - 1. Calculate -u(j) - 2*w(j).
j + 1
Let n(k) = k**2 - 16*k - 11. Let h(g) = 3*g + 2. Calculate -11*h(m) - 2*n(m).
-2*m**2 - m
Let z(g) = -7*g**2 - 9*g - 44. Let h(x) = 2*x**2 + 2*x + 11. Let n(t) = 9*h(t) + 2*z(t). Let v(w) = -w**2 - 2. Determine 2*n(s) + 11*v(s).
-3*s**2
Suppose -3*b - b - 4*i - 8 = 0, -2*b - 4 = i. Let d(p) = -p - 1. Let j(y) = y + 9. Let o(g) = g + 6. Let l(f) = 5*j(f) - 8*o(f). Determine b*l(w) + 4*d(w).
2*w + 2
Let g(r) = -r**3 - r**2 + r - 1. Let q(m) = -5*m + 59. Let l be q(12). Let y(f) = -5*f**3 - f**2 + 3*f - 1. Determine l*y(o) + 3*g(o).
2*o**3 - 2*o**2 - 2
Let s(w) = 4*w**2 + 13*w - 7. Let f(j) = 2*j**2 + 6*j - 4. Determine 11*f(m) - 6*s(m).
-2*m**2 - 12*m - 2
Let s(g) = 13*g**2 + 9*g - 137. Let z(r) = 6*r**2 + 4*r - 69. Give -4*s(a) + 9*z(a).
2*a**2 - 73
Let d(h) be the first derivative of -9*h + 10 - 7/2*h**2. Let s(w) = -3*w - 4. Give -2*d(y) + 5*s(y).
-y - 2
Let s(v) = v. Let p(z) = z**2 - 5*z - 2. Give -p(i) - 5*s(i).
-i**2 + 2
Let v(q) = -q**3 - 2*q**2 - 3*q. Suppose 5*x + 5 = 3*u, -3*x + u = 2 + 5. Let c(r) = 2*r**3 + 3*r**2 + 5*r. Determine x*c(f) - 7*v(f).
-f**3 + 2*f**2 + f
Let c(o) = o**3 + o**2 + o + 1. Let n(q) = 2*q**3 + 4*q**2 + 4*q + 5. Calculate -4*c(g) + n(g).
-2*g**3 + 1
Let g be 6/(-4)*(-3 + 1). Suppose 0 = -m + g - 0. Let r(w) = -1 - 2*w**2 + 0 - 3 - w**m. Let a(n) = -n**3 - 1. Determine -2*a(u) + r(u).
u**3 - 2*u**2 - 2
Let f = -35 + 38. Let x(g) be the first derivative of 7*g**4/4 + 5*g**3/3 + 5*g - 1. Let r = -13 - -8. Let v(h) = 4*h**3 + 3*h**2 + 3. What is f*x(k) + r*v(k)?
k**3
Let a = -3 + 2. Let w(v) = -4*v + 3*v + 3*v**2 + 5*v**2. Let x(m) = -m**2. What is a*w(q) - 6*x(q)?
-2*q**2 + q
Let j(f) = 2*f**2 - 13*f - 4. Let q(k) = -k**2 + 6*k - 4. Let g(m) = 2*m**2 - 12*m + 9. Let z(i) = 6*g(i) + 13*q(i). Calculate 6*j(o) + 13*z(o).
-o**2 + 2
Let c(y) = 2 - 2*y**2 - 4 + 3 + 3*y**2. Let n(p) = 2*p**3 + 5*p**2 + 3. Suppose -4*b - 1 = 3. Determine b*n(l) + 4*c(l).
-2*l**3 - l**2 + 1
Let h(d) = -48*d**3 - 36*d**2 - 36*d - 36. Let j(p) = p**3 + p**2 + p + 1. What is -h(t) - 36*j(t)?
12*t**3
Let c(p) = 4 - p**2 - 15*p + 0*p**2 + 19. Let d be c(-17). Let s(i) = -5*i - 4. Let o(j) = 9*j + 7. Determine d*s(m) - 6*o(m).
m + 2
Let a(j) = -2*j - 9. Let s(y) = y + 4. Let v(b) = -b**2 + b + 2. Let n be v(0). Calculate n*a(l) + 5*s(l).
l + 2
Let l(a) = -5*a**3 + 4*a**2 + 4. Let y(w) = -w**3 + 1 - 31*w**2 - 40*w**2 + 104*w**2 - 32*w**2. Calculate -l(t) + 4*y(t).
t**3
Let w(j) = 6*j**3 - j**2 + 6*j. Let z(g) = -5*g**3 + g**2 - 5*g. Suppose -2*n + 13 = 19. Determine n*w(u) - 4*z(u).
2*u**3 - u**2 + 2*u
Let f(b) = -2*b. Let n = -34 + 50. Suppose n = -4*c + 4*a, 5*c - 2 = -2*a - 8. Let y(h) = -4*h. Give c*y(t) + 5*f(t).
-2*t
Let s = 14 + -7. Let y be ((-1)/(-2))/((-1)/(-12)). Let k(f) = 4*f - s + y - 3*f. Let h(q) = 4*q - 5. Calculate -h(t) + 3*k(t).
-t + 2
Let z(n) = -8*n + 7. Let m(j) = 15*j - 13. Give -6*m(k) - 11*z(k).
-2*k + 1
Let q(z) = -z**2 + 3. Let o(f) = -f**2 + 3*f | {
"pile_set_name": "DM Mathematics"
} |
4) + 0?
-4
What is (4 + -5 - -4 - 11) + 1?
-7
What is the value of -3 - (-3 + 7) - (-27 + 24)?
-4
Calculate (9 + 4 - 29) + 6.
-10
What is the value of (7 - 8) + -2 + (-1 - -10)?
6
(-114 - -105) + (0 - -7)
-2
What is 0 - ((5 - (6 - 0)) + -5)?
6
(-3 - (9 - 5)) + 3 + 7
3
What is 2 - (5 - (-3 + 9))?
3
Evaluate -4 + -4 + 8 + 0 + 4.
4
Calculate (0 - -3) + (4 - (1 + 5)).
1
Calculate (8 - (8 + -5)) + 3 - 12.
-4
8 + -11 - (-6 + 5 + -2)
0
Evaluate (16 - 7) + -4 - (2 - 0).
3
What is 7 - (-3 - -6) - -3?
7
What is the value of 2 + (-1 - 3) + (4 - -2)?
4
Evaluate 1 + -7 - (3 + -7 - 0).
-2
What is the value of -2 + 9 - (-2 - -8)?
1
Calculate 2 + -7 + 1 + 5.
1
Calculate (-17 + 5 - -2) + 7.
-3
What is the value of -2 - -11 - (1 + -9 + 10)?
7
What is (5 - 4) + 4 + -3?
2
What is the value of 2 + 1 + (12 - 4) + -7?
4
What is 4 + (9 - (9 + -1))?
5
Evaluate -43 - -56 - (0 + 3 - -2).
8
What is 14 + -17 - (1 - 2)?
-2
What is the value of (1 - -3) + 58 + -62?
0
What is 8 + -1 - (-3 + 5)?
5
1 + (0 + (-2 - -2) - 6)
-5
What is the value of 4 + 6 + -4 - (7 + -1)?
0
What is 2 - (-2 + 4 + 1 + -5)?
4
What is the value of -48 + 43 - (1 + -5)?
-1
(3 - 1) + 6 + -2
6
0 - -9 - (2 + 1)
6
Evaluate -2 + (4 - 1) + 2.
3
Evaluate (-10 - -4) + 1 - (1 + -11).
5
Calculate -2 + 3 - -1 - 0.
2
-2 + 8 + (-1 - 11)
-6
What is the value of (4 - (-8 - -12)) + (0 - -4)?
4
What is 8 + (1 + -1 - (16 + -11))?
3
What is -2 - (-5 + 16 + (-5 - -1))?
-9
What is the value of 10 + -20 + 9 - (6 + -14)?
7
Calculate 4 + -2 + 1 + (-4 - -4).
3
What is -6 - -18 - 1 - 6?
5
11 + -6 - (2 - -3 - 1)
1
Calculate -1 - (-1 + -1 + -2) - 0.
3
What is -4 - (0 + -4 + 3) - -4?
1
Calculate -3 + (15 - 7) - 10.
-5
Evaluate (8 + -2 - 3) + 1 + -6.
-2
0 + (5 - (3 - -1) - 4)
-3
What is 2 + (4 + -8 - -4) + 3?
5
2 - 2 - (-4 - -3)
1
Evaluate 7 + -5 + 2 + 0 - 7.
-3
Evaluate (-3 - (-2 + -2) - 0) + 1.
2
What is 0 - ((-3 - (-2 - -2)) + 7)?
-4
What is 5 - (-4 + -1 + (22 - 8))?
-4
What is 5 - 2 - 3 - (1 - -2)?
-3
What is (8 - 4) + -1 + (-5 - -2)?
0
Evaluate -12 + 5 - -5 - -3.
1
-4 + 0 + 5 + -2 + 6
5
7 + -2 - (-2 + -7 + 16)
-2
Calculate 2 - (-11 + 11 + -4).
6
Evaluate -5 - (-15 + (0 - -5) + 5).
0
What is the value of 15 + (6 - -3) + -21?
3
What is 0 + (6 - 1) + -2?
3
Calculate 0 + (-1 - 0) + 108 + -102.
5
What is 2 + 2 - 4 - 5?
-5
Evaluate 4 + -6 + -2 - -7.
3
3 + (2 + -4 - -5)
6
Calculate -1 - (-1 + 2) - -6.
4
(2 - -5) + -2 - 1 - 1
3
Calculate 7 - (10 + (4 - 8)).
1
Calculate -1 - -6 - (-15 + 23).
-3
-3 - (10 + -5) - (9 + -12)
-5
Calculate -4 - -1 - (-8 + (5 - 4)).
4
What is the value of -6 + (7 - (11 + -7))?
-3
Calculate 15 + -10 + 4 + -2.
7
-4 + 1 + (6 - 4) + 0
-1
-4 - (-4 + (0 - 0) + -3)
3
Evaluate -3 - 5 - (-10 - (8 - 15)).
-5
Evaluate -30 + 28 - (0 + -7).
5
Calculate 19 - (5 - (7 + -12)).
9
Evaluate -4 - -6 - (1 + -1 - 0).
2
What is (31 + -38 - (0 - 4)) + 12?
9
0 + -5 + (49 - 48)
-4
What is 0 - (1 + (9 - 3))?
-7
Calculate (-4 - 2) + 9 + 0.
3
What is (4 - 7) + (-9 - -4) + 6?
-2
What is (1 + -2 - -1) + 66 + -63?
3
Calculate 33 - 29 - (-1 - 1).
6
What is the value of -2 + 0 + (8 - (7 + 0))?
-1
Calculate -6 - (-90 + 91 - (0 - -5)).
-2
What is the value of 1 + (-5 - -12) + -7?
1
1 + -4 + (2 - 2) + 3
0
What is 6 + (3 - 9) - -10?
10
What is 8 + (-5 + -2 + 2 - -4)?
7
Evaluate 6 - (1 - (-3 + -2)).
0
Evaluate -3 + (6 - 3) - (0 + 7).
-7
Calculate -16 + 2 - (-4 + -3) - 3.
-10
What is -1 - (2 + -2 + 2 - 2)?
-1
Evaluate (-3 - 0 - -14) + (-3 - 3).
5
Evaluate 7 + -6 + -2 - -2.
1
What is -6 - (-5 + (0 - -3))?
-4
Calculate (-4 - -6) + 2 + (-1 - -2).
5
Evaluate 0 + -4 + 0 - -6.
2
Calculate 8 + -3 + -3 - (16 - 20).
6
What is 4 + 1 + -11 + 13 + -6?
1
(-1 - 6) + (132 - 133)
-8
-2 + -8 + 4 + 2 + -3
-7
0 - (3 - (-4 + (0 - -3)))
-4
What is -2 - (-5 + -1 + 0)?
4
-1 + -3 + 1 + 2 + 4
3
What is (-1 - -1 - 2) + -5 + 5?
-2
What is the value of 14 + -4 + 8 - 14?
4
What is (-4 - (2 + -3)) + 1 + -3?
-5
-7 - (0 + 3 - 6 - -1)
-5
Evaluate 0 - -5 - (7 + -10 + 9).
-1
(4 - 5) + (3 - 1)
1
What is the value of 5 + (-1 - 1) + -4?
-1
Calculate 3 - 8 - -7 - -1.
3
(-8 - -19) + -12 + (4 - -2)
5
Calculate 5 - (2 - 0) - 8.
-5
Evaluate -13 + 11 - (5 - (-1 + 3)).
-5
What is (1 - 6) + -28 + 27?
-6
Evaluate 2 + 4 + -2 + 0 - 7.
-3
Evaluate 8 + (2 + (2 - 1) - 10).
1
Evaluate -7 + 12 - (4 + 2).
-1
What is -6 + (2 - 0) + 3?
-1
Calculate 1 - (7 + 0 - 4).
-2
Evaluate -14 - (0 - 5 - (63 + -63)).
-9
Calculate (-2 - -6) + -8 - 1.
-5
What is -3 + (3 - (-1 - -2)) + 7?
6
Calculate 9 + (10 - 25) - -9.
3
Evaluate 2 + (3 - -3) + -16 + 0.
-8
Evaluate (-29 - -28) + 2 + -1.
0
Evaluate -15 + (10 + 2 - 3).
-6
What is 4 - 6 - (8 - 7) - -8?
5
Calculate (5 + 4 - 2) + -9 + 3.
1
What is 1 + 8 + 1 + -5?
5
What is 11 - 2 - (-17 - -21)?
5
What is (-8 - -8) + -6 + 2?
-4
What is the value of 2 + 6 - (0 + (10 - 4))?
2
What is the value of 10 + -4 + (3 - 0) + -6?
3
Evaluate (1 - -3) + -6 + -2.
-4
What is the value of 1 - 0 - (-1 - -1)?
1
Calculate 7 - (0 - (4 + -6)).
5
Calculate -10 + 4 + 4 - (-3 + 0).
1
Calculate (6 - 0) + 4 + -7 + -2.
1
What is the value of (-3 - -2 - 2) + 1?
-2
What is the value of 12 + -3 + -11 + 2 + -1?
-1
(4 - (2 - (1 + 1))) + 1
5
What is the value of -5 + 6 + 3 + -2 - 4?
-2
Evaluate -2 + (-2 - -5) + -8.
-7
Evaluate -11 + 10 + (1 - 4).
-4
Evaluate 10 - (-3 - (-27 + 9)).
-5
What is the value of -6 + 3 + -6 - -4?
-5
0 + 4 + 6 + -6
4
What is -3 + 3 + (-6 - -6 - -5)?
5
Evaluate 20 + -22 - (-14 + 1).
11
What is the value of (3 - 4) + (12 - 15)?
-4
Calculate 5 + -1 + -14 + 6.
-4
What is -3 + -9 + 6 + 9?
3
3 + (-1 - 5 - -4) + 1
2
Calculate 7 + 1 - (-42 + 50).
0
Evaluate 0 + (2 - ((-2 - -3) + -1)).
2
Calculate -3 - (3 - (7 - (0 + 3))).
-2
What is the value of -2 - (2 - (2 + -6 + 3))?
-5
What is the value of 60 - 52 - (-1 + 8) - 7?
-6
What is the value of 9 - (6 + -6 - -3)?
6
What is the value of (4 + 1 - 1) + -1 + -2?
1
Calculate -10 - (-6 - (9 - 6)).
-1
What is 2 + 4 - (13 - 4)?
-3
Calculate 4 + 0 + -3 - -3.
4
Evaluate 35 - 41 - (-2 + -7).
3
What is (-7 + 10 - 3) + -6?
-6
-6 + 3 + (6 - 1)
2
Calculate -1 + -1 + (22 - 5 - 16).
-1
What is the value of (-1 - 0) + (0 - (-9 + 4))?
4
What is (1 - 5) + 4 + -1?
-1
What is (-4 - -2) + 2 + -1?
-1
What is -12 + 3 + -3 + 7?
-5
Evaluate -1 - (0 - 5) - 0.
4
What is (-14 - -11) + (1 - (1 - 6))?
3
Calculate -2 - ((-2 - -5) + -5 + 6).
-6
What is the value of -3 + -4 + 4 + 5?
2
Evaluate -9 + (10 - 12) + 3 + 2.
-6
What is the value of -1 - (4 + -22 + 7)?
10
Calculate -3 + 4 - (1 + 2 + -3).
1
What is -3 + (-1 - 1) - -8 - 10?
-7
What is 0 + -1 + 6 - 8 - -2?
-1
Evaluate (1 + 1 - (2 - 3)) + 1.
4
What is -2 + 0 + (6 - 7)?
-3
Evaluate 1 + 5 + -1 + -2 + 0.
3
Calculate 0 - -1 - (-1 - (1 + -1)).
2
Evaluate 0 + (-5 - (-2 + -2)).
-1
Calculate 3 - (-2 + -1 + 10).
-4
(13 - 6 - 3 - -3) + -3
4
Calculate -2 + -3 + (9 + -16 - -7).
-5
What is the value of -6 + (5 - 3) + -2 + 6?
0
What is the value of 10 + (0 + -1 - 6 - -1)?
4
Evaluate 8 + -1 + -5 - (0 + 6).
-4
What is the value of -1 + -2 + -1 + (-1 - -1)?
-4
What is -1 - (-6 + (8 - 5))?
2
What is 1 + 2 + (3 - 7 - -3)?
2
What is -21 + 20 - (-1 - (-2 - 0))?
-2
(6 - (-1 - -2)) + (62 - 63)
4
Evaluate -6 - ((2 - 10) + -3 + 9).
-4
What is 8 + 6 + -8 + -12?
-6
What is (7 - 9) + 0 + -1?
-3
0 - (-3 + 10 - 15)
8
What is 0 + 1 + -7 + 8?
2
Calculate 2 - (-8 - -6 - (5 - 5)).
4
Calculate -4 - ((-3 - 2) + (11 - 9)).
-1
(3 - 2) + (0 - -4)
5
What is 0 + (1 - 10) - (42 + -45)?
-6
What is (-9 - -17) + 8 - 8?
8
Evaluate -3 + -2 + -2 - -3 - 0.
-4
What is the value of -1 + 3 + -14 + 17?
5
What is (1 - -4) + 30 + -32?
3
What is -2 + (-6 - (2 - 7)) + 4?
1
Calculate 0 + (-2 - -1) - (-4 - -3).
0
(-5 - -6 - -6) + -2
5
Calculate 0 - -3 - ((-2 - 2) + 2).
5
What is the value of (-4 - -1) + 3 + (-5 - -5)?
0
Calculate -4 - (8 + -11 + -5 + -1).
5
What is (0 - 5) + 0 + -3 + 3?
-5
What is the value of 18 - ((9 - 7) + 9)?
7
What is -3 + -3 + 6 - 2?
-2
What is the value of -3 - (0 - (0 + 1))?
-2
-2 - -13 - (25 - 18)
4
Calculate 2 + (1 - 2) - (-1 + -1).
3
What is the value of (-2 - (0 + -2)) + -5?
-5
-6 + 4 + 0 + -2 + 0
-4
-1 - (-2 - (2 + -4)) - 3
-4
1 + (-1 - -2) + 27 + -35
-6
What is the value of -1 - (1 + -11 + 5)?
4
6 + (3 - (5 - 6 - -10))
0
What is the value of -38 + 35 + (0 + 3 - 2)?
-2
What is -4 + (-1 - -3) - 2?
-4
What is the value of 13 + 0 + (15 - 0) + -18?
10
Wh | {
"pile_set_name": "DM Mathematics"
} |
-5*q = 5 + 10. Is r(q) composite?
False
Let y be (-15)/25 - 6798/(-5). Let p = y - 942. Let j = p - 194. Is j composite?
False
Let g be (1/2)/(2 - (-16881)/(-8442)). Suppose -4*x + 20 = 0, 426 = -n + 2*x + g. Is n a composite number?
False
Let t(l) = -99*l**3 + 3*l**2 + 2*l - 1. Let m = 35 + -34. Let q(y) = y**2 - 4*y + 1. Let o be q(m). Is t(o) prime?
False
Let p be (-4)/(4 - 22/5). Let m be (-2)/p - (-2)/10. Suppose 2*w + 220 - 1098 = m. Is w prime?
True
Let g = -315 - -2717. Is g a prime number?
False
Let l(s) = 1248*s**2 - 61*s + 6. Is l(-5) prime?
True
Is 1018 + (-7 - -6) + -8 a prime number?
True
Suppose 0 = -2*c - 3*c - 5. Let f be 2 - 2 - (-2 + c). Suppose -8 = -v - f, -96 = -w + 3*v. Is w prime?
False
Suppose 6679 = 6*k - 21983. Is k a prime number?
False
Let j be 0 + (0 - 0) + 54. Let o be (42/(-15))/((3/10)/(-3)). Let p = j - o. Is p a prime number?
False
Let a(t) = -123*t - 3. Let k(i) = -82*i - 2. Let u(s) = -5*a(s) + 7*k(s). Let y be (1*-3)/((-9)/6). Is u(y) a prime number?
True
Let r be ((-225)/10)/(-9)*-10. Is (-16380)/r - 2/10 a prime number?
False
Let z(u) = 20 - 52 - u + 23 + 25. Let x be z(18). Is 254/(-6)*(x - 1) a prime number?
True
Let j be (0 - 0/(-1))/(-2). Suppose 3*d - 6 = 0, -3*a + 7*a + 4*d - 16 = j. Suppose 0 = -4*x + 5*z + 644, 3*x + a*z = -2*z + 483. Is x a prime number?
False
Suppose 3*p - 2989 = -3*o + 4445, -p + 2*o = -2481. Is p composite?
True
Suppose 16*m = 12*m + 12. Is (-3 - 777/m)/(-4 + 2) composite?
False
Let g be (-15490)/(-1) + -3 + -2. Suppose 0 = 3*d - a - g, -4*a + 15505 = 8*d - 5*d. Is d prime?
False
Suppose 36*m - 21768 = 28*m. Is m prime?
False
Suppose -40540 = -4*s + 2*z, -18*s + 22*s + 3*z - 40520 = 0. Is s prime?
True
Is 8661 + 0 - (-10 - 36/(-6)) prime?
False
Let v(w) = w**3 + w**2 + w - 1. Let b be v(-2). Let i = b - -18. Suppose -t - i = -234. Is t a prime number?
True
Let x(j) be the first derivative of 5*j**2/2 + 13*j + 44. Let l = 8 - 0. Is x(l) a prime number?
True
Let y be (-2 - -4 - 4) + -4. Is ((-1336)/2)/(3 + y + 1) a prime number?
False
Let d(h) = 6*h - 253. Let r(s) = s - 1. Let j(b) = -d(b) + 2*r(b). Is j(0) prime?
True
Suppose -19 - 11 = -2*f. Suppose -3*o = -8*o + f, 2*d = -4*o + 28. Let v = d - -15. Is v a prime number?
True
Suppose 230759 = 47*y - 24*y. Is y composite?
True
Let u = -4228 - -11267. Is u a prime number?
True
Let z(y) = -7 + y**3 + 15*y - y - 2*y**3 - 5*y - 11*y**2. Let w be z(-10). Let b = 316 + w. Is b a composite number?
True
Suppose 2*r - 2*q - 9 - 1 = 0, 0 = -4*r - q + 20. Suppose 0 = -2*o - 2*n + 238, r*o = 7*o + 3*n - 238. Is o a prime number?
False
Let l(g) = -2*g - 1. Let k be l(2). Let c(d) = -255*d + 2. Is c(k) a prime number?
True
Let d(r) = -239*r**2 + 1. Let z be d(1). Let l = z - -779. Is l a prime number?
True
Let c(g) = g - 15. Let j be c(7). Let o(b) = 11*b**2 - 9*b + 11. Is o(j) a composite number?
False
Let y = 40 - 34. Let k be (-8)/4 + (y - 1). Suppose k*n + 5*m - 3168 = 0, 3*m - 4946 = -4*n - 711. Is n a prime number?
True
Suppose -36*m + 34*m - 226 = 0. Let a = m + 486. Is a a composite number?
False
Suppose 0 = -75*l + 76*l - 2437. Is l prime?
True
Suppose 0*a = 3*a + 57. Let y(o) = o**2 - 7*o - 15. Is y(a) prime?
True
Let n be ((-8)/(-20))/(2/2130). Let s = 1304 - n. Is s a composite number?
True
Let a be 3/4 - 6890/(-8). Let r = -249 + a. Is r a composite number?
False
Let d be 2/(-9)*1884*3/(-2). Suppose 3*x - 2*a = x + 642, 5*a = -2*x + d. Is x composite?
True
Let t = 11562 + -875. Is t prime?
True
Let m be (0 + 3)/(6/8). Let w = m - -135. Is w a composite number?
False
Let w be ((-3)/(-9) + -1)*-9. Suppose w*y = 3*y. Suppose y = 4*n - 1 - 27. Is n a composite number?
False
Is (-1 + 2)/(21/236271) a prime number?
True
Let q(p) = -4610*p**3 + 2*p**2 + 4*p + 1. Let a be q(-1). Suppose 9*d + 2*d = a. Is d composite?
False
Let z(t) = -68*t**2 - 10*t + 12. Let q be z(-10). Is q/(-33) + 2/6 a prime number?
False
Let j(t) = -577*t**2 - 31*t + 157. Let c(q) = 144*q**2 + 8*q - 39. Let z(w) = 9*c(w) + 2*j(w). Is z(5) composite?
True
Let i = 17192 - -1239. Is i composite?
True
Suppose 80007 = 35*o - 66748. Is o a composite number?
True
Let d(k) = k**2 + 12. Let i be d(0). Suppose 0 = 4*p + c - i, 0 = -5*p + 3*c - 1 + 33. Suppose p*a - 130 = 2*a. Is a a prime number?
False
Let f(w) = -28*w - 4. Let n be f(12). Let v = n + 593. Is v a prime number?
False
Let w(l) = -l**3 + 2*l + 3. Let a be w(0). Is 63/6*346/a a composite number?
True
Suppose -b - 120 = 3*m + 25, 5*m + b + 239 = 0. Let h = m - -70. Is h composite?
False
Let k(v) = -v**2 + 21*v + 5557. Is k(0) a prime number?
True
Suppose 2*i + 0*i = 4*n + 166, -168 = -2*i + 5*n. Let j = 3 + 0. Suppose j*z - i = -10. Is z prime?
True
Suppose -5*j + 82 = 5*v - 3*v, v - 46 = -5*j. Suppose -a = 5*s + v, -2*s + 16 = -2*a + 2*s. Is (-1 - 20/a)*316 a composite number?
False
Let a(g) = -1 - 2*g**3 - 14*g + 0*g**3 + 0*g**3. Is a(-5) prime?
False
Let u(h) = 328 - 2*h**2 - h**2 + 6*h + 4*h**2 + 189. Is u(0) a composite number?
True
Let m(b) = -2*b**2 + 5*b + 6. Let t be m(5). Let p(l) = l**2 + 12*l + 16. Is p(t) prime?
True
Suppose 0 = -26*y + 27*y - 74. Is y prime?
False
Suppose 109192 = 988*n - 980*n. Is n a composite number?
False
Let p = -4 + 49. Is 2/(-10) + 954/p a prime number?
False
Suppose 13*u + u - 115486 = 0. Is u a composite number?
True
Let t(s) = 5*s**2 + 8*s - 11. Let m be t(6). Let l(u) = u**2 + 7*u + 2. Let o be l(-7). Suppose -m = -o*k + 209. Is k a composite number?
True
Let t = -19 + 25. Suppose t*z + 40 = z. Is 487/3 - z/12 a prime number?
True
Let w be 20/(-8)*92/(-5). Suppose -k + w = 2*t - 27, 0 = -3*t + 2*k + 113. Is t composite?
False
Is 1 - (-175452)/26 - (-292)/(-1898) prime?
False
Let u(f) = 998*f**2 + 26*f + 31. Is u(-6) a composite number?
False
Let a = -16 - -18. Suppose -a*o - 30 = -4*b, 2*b = -2*b - o + 21. Is (1174/b)/(14/42) prime?
True
Let v = -429 - -1336. Is v prime?
True
Let j be 57102/39 + 4/(-26). Suppose 2*m - 4*r = 590, 5*m - j = r - 2*r. Is m prime?
True
Let c = 19030 - 10698. Suppose 23*i - 142111 - c = 0. Is i a prime number?
False
Suppose -3*s - 143 - 172 = 0. Let d = s - -167. Suppose -657 = -5*x - d. Is x a prime number?
False
Suppose -6*l + 7662 - 1188 = 0. Suppose -4*r - l = -15619. Is r a composite number?
True
Let r = -42 + 98. Is 47/(-2)*(-9)/(36/r) prime?
False
Suppose 13*p = 2*g + 15*p - 2112, -p = -5*g + 5310. Is g a prime number?
True
Let t(p) = -1986*p + 34. Is t(-4) composite?
True
Let a(r) = 5*r**2 + 3*r - 2. Let g(x) = -x**2. Let m(j) = -a(j) - 4*g(j). Let n be m(-3). Is -2 - (n + -1*221) prime?
False
Suppose 0 = -2*d + 2*a + 50, 4*d - 3*a - 102 = -7. Is 4/d - 2824/(-5) prime?
False
Is 103 - (-6)/5*5 prime?
True
Suppose -4*q + 15392 + 35636 = 0. Is q a composite number?
False
Let k = 66 - 65. Is 0/k - (-3)/6*1678 composite?
False
Let y(w) = w**3 + 3*w**2 + w + 3. Let s be y(-3). Suppose -f = -s*f. Suppose 3*t + 0*t - 573 = f. Is t composite?
False
Suppose -5*q = 2*i - 665025, -8*q - 665050 = -13*q + 3*i. Is q prime?
False
Let h(q) = -5750*q - 37. Is h(-10) composite?
True
Let d(k) = 4*k**3 - 64*k**2 - 11*k + 44. Is d(21) composite?
True
Let x be 2/2*4 + 0. Suppose 3 = -x*u + 107. Is u composite?
True
Let b = -11 + 17. Let f(o) = o**3 - 5*o**2 - 4*o - 8. Let y be f(b). Is y/8 + 354/4 a composite number?
False
Let g = 44 - 329. Let o = -198 - g. Is o a composite number?
True
Suppose 0 = -a - 5*n + 40, -6*n + 3*n = 5*a - 244. Let r be (1 + -3)/(0 + (-1)/2770). Is r/a + (-1)/(-5) prime?
False
Suppose 2*y + 0 - 4 = 0. Suppose 0 = a - y*a. Suppose -r + g = -a*r - 17, 58 = 2*r + 4*g. Is r composite?
True
Is 3/9 - (-5 + (-46594)/6) composite?
True
Let o(u) = 4*u + 3. Suppose -11 = 2*t + 33. Let z = t + 29. Is o(z) prime?
True
Let z = 55 + -55. Suppose 2*d - 3*f - 2957 = z, -2*d - 2*f + 2953 = -f. Is d prime?
False
Suppose -4*u = 5 + 15, -2*k - u = -1289. Is k a prime number?
True
Let u(w) = 428*w + 45. Let m be u(-6). Let k = 3964 + m. Is k a prime number?
False
Let d be ((-2)/(-4))/(2/748) - 0. Suppose -d = -2*v + 331. Is v a composite number?
True
Let n = 618 + 1603. Is n composite?
False
Let q(r) be the second derivative of -19*r**5/10 - r**4/6 - r**3/6 + r**2/2 - 5*r. Let d(s) = -s**3 + 4*s**2 - s + 2. Let j be d(4). Is q(j) a composite num | {
"pile_set_name": "DM Mathematics"
} |
base 15, what is 3 + -4?
-1
In base 10, what is -248 + -5?
-253
In base 7, what is -4 - 350?
-354
In base 16, what is 195 + 2?
197
In base 13, what is 2 + 5?
7
In base 2, what is 0 - -11001100100?
11001100100
In base 2, what is -100001110001 - 0?
-100001110001
In base 16, what is -7a + -7?
-81
In base 13, what is -3 - 94?
-97
In base 4, what is -11123 + 10?
-11113
In base 3, what is 20 - 1110?
-1020
In base 13, what is 0 + 3c?
3c
In base 15, what is 122 + 3?
125
In base 9, what is -51 + 2?
-48
In base 11, what is 1a + -6?
14
In base 4, what is 303 - -2?
311
In base 7, what is -5 + 415?
410
In base 4, what is 2 + 3121?
3123
In base 14, what is 214 + a?
220
In base 10, what is 3709 - -4?
3713
In base 16, what is 3 - 503?
-500
In base 14, what is -1ca - 3?
-1cd
In base 4, what is 20 + 12?
32
In base 14, what is -5 + -b?
-12
In base 13, what is -3 - ba5?
-ba8
In base 15, what is c - 19?
-c
In base 15, what is 5 - -1178?
117d
In base 2, what is 101 + -101101100?
-101100111
In base 15, what is 50 + 83?
d3
In base 15, what is -58 + 12?
-46
In base 2, what is -1 + -1001000000010?
-1001000000011
In base 9, what is 66226 + 2?
66228
In base 9, what is 5430 - -4?
5434
In base 14, what is 9 + 1b?
26
In base 3, what is -112202000 - 10?
-112202010
In base 13, what is -60a - 1?
-60b
In base 11, what is -696 - 1?
-697
In base 9, what is 0 + -53?
-53
In base 7, what is 2525 + 1?
2526
In base 15, what is 1d - 40?
-22
In base 8, what is 3 + -766?
-763
In base 8, what is -3 - 1127?
-1132
In base 6, what is -20 + 50?
30
In base 5, what is 12442 - -1?
12443
In base 9, what is -4 - -7?
3
In base 9, what is -8672 + -1?
-8673
In base 6, what is -25 + -2?
-31
In base 9, what is -88 - 1?
-100
In base 11, what is -166 + -3?
-169
In base 14, what is -36 + 1?
-35
In base 16, what is -700 - -3?
-6fd
In base 7, what is -1 - 4?
-5
In base 4, what is 3002 - 11?
2331
In base 13, what is 62c + -12?
61a
In base 3, what is -11 + 1?
-10
In base 8, what is -235 - 5?
-242
In base 13, what is 3 + -275?
-272
In base 16, what is -f + 10?
1
In base 4, what is 0 - -20213?
20213
In base 13, what is -55 - 4?
-59
In base 12, what is -536 + -1?
-537
In base 11, what is 1 + -187?
-186
In base 10, what is -1 - -6?
5
In base 2, what is -1 + 10001110?
10001101
In base 8, what is 350 + -157?
171
In base 10, what is -164 - -3?
-161
In base 11, what is -7 + 0?
-7
In base 8, what is 210 + 13?
223
In base 12, what is -436 + 4?
-432
In base 7, what is 53 - -463?
546
In base 15, what is -6 - -14a?
144
In base 11, what is -10 - 820?
-830
In base 13, what is -4 - 1a?
-21
In base 4, what is -2030 - -1003?
-1021
In base 9, what is -34 + 0?
-34
In base 10, what is -4 + 63?
59
In base 15, what is -142 + 3?
-13e
In base 12, what is -5 + 10?
7
In base 15, what is -9c + 20?
-7c
In base 9, what is -412 - 2?
-414
In base 3, what is 120 + 0?
120
In base 11, what is -1825 + -2?
-1827
In base 11, what is -170a + -1?
-1710
In base 3, what is 12 - 1211?
-1122
In base 7, what is -5 - -534?
526
In base 2, what is 0 + 10100001?
10100001
In base 7, what is 0 - 433?
-433
In base 11, what is -37 - -45?
9
In base 7, what is -150 - -16?
-131
In base 16, what is -4 + 1346?
1342
In base 16, what is 7 + 18?
1f
In base 15, what is 1cc + 4?
1d1
In base 9, what is -4 + -4?
-8
In base 9, what is 4 - -56?
61
In base 2, what is -1011 - -100111011?
100110000
In base 5, what is 33324 - 13?
33311
In base 11, what is -2 - 154?
-156
In base 2, what is -11 + 1010110001111?
1010110001100
In base 10, what is -845 - -13?
-832
In base 12, what is -2 - -1a14?
1a12
In base 3, what is 10000 - 111?
2112
In base 8, what is 15 + 131?
146
In base 15, what is 1 + -3?
-2
In base 10, what is 8 + 50?
58
In base 3, what is 22 + -1202?
-1110
In base 9, what is 258 + 50?
318
In base 15, what is 5 - c5?
-c0
In base 3, what is 10 + -12?
-2
In base 6, what is 2 + -2443?
-2441
In base 6, what is 1 - -3240?
3241
In base 5, what is 2 + 24?
31
In base 9, what is 13 - 4?
8
In base 2, what is -101101100001110 - -100?
-101101100001010
In base 2, what is -1 + -111100011?
-111100100
In base 4, what is -12300 - -10?
-12230
In base 5, what is -12423 + 10?
-12413
In base 11, what is 64 - -2?
66
In base 10, what is -493 + 11?
-482
In base 4, what is -23 + -103020?
-103103
In base 15, what is -47 - -b?
-3b
In base 14, what is 476 + 5?
47b
In base 6, what is -4143 + 10?
-4133
In base 10, what is -778 + -5?
-783
In base 2, what is -10 - -1110111?
1110101
In base 8, what is 20003 + 2?
20005
In base 2, what is 10010 + 1001?
11011
In base 4, what is 1 - 20212?
-20211
In base 11, what is -111 - -4?
-108
In base 15, what is 4e + 2?
51
In base 7, what is -4016 - -1?
-4015
In base 11, what is -15 - 7a?
-94
In base 7, what is 450 + -5?
442
In base 9, what is 5 + 21?
26
In base 8, what is -13010 - -3?
-13005
In base 5, what is 0 - 12?
-12
In base 15, what is -59 - 1?
-5a
In base 15, what is -3 - 27?
-2a
In base 14, what is -13 + -8c?
-a1
In base 11, what is -47 + 2?
-45
In base 9, what is 5 - -2544?
2550
In base 10, what is -4 + 32?
28
In base 11, what is 4 + -51?
-48
In base 15, what is -d + e?
1
In base 10, what is -9 - 186?
-195
In base 4, what is -110010 - 2?
-110012
In base 7, what is -3 - -14121?
14115
In base 9, what is 3 - 4414?
-4411
In base 14, what is -16 - -c?
-8
In base 8, what is 141 - -5?
146
In base 15, what is 53 - -5?
58
In base 4, what is 2 - 20?
-12
In base 4, what is 20 - 1300?
-1220
In base 14, what is -4 - 38?
-3c
In base 14, what is -9 + -5?
-10
In base 5, what is 11 + -230020?
-230004
In base 16, what is 6 - 22?
-1c
In base 9, what is -16737 + 1?
-16736
In base 5, what is -2 + 314?
312
In base 8, what is -1032 - 5?
-1037
In base 14, what is 40 - 165?
-125
In base 13, what is 2 - 12?
-10
In base 7, what is -366 - 3?
-402
In base 8, what is -5 + -10526?
-10533
In base 14, what is 3 - -82?
85
In base 12, what is -62 - 108?
-16a
In base 3, what is 1211 - 200021?
-121110
In base 12, what is 340 - 2?
33a
In base 7, what is -10 - -336?
326
In base 10, what is 59 + 3?
62
In base 12, what is 58 - 4?
54
In base 3, what is 1120 - -21?
1211
In base 14, what is 137a + -1?
1379
In base 13, what is -3 - -9?
6
In base 3, what is 0 + -10101?
-10101
In base 3, what is -11 + -1122012?
-1122100
In base 2, what is -1110 + 10000101?
1110111
In base 6, what is 55 - -224?
323
In base 5, what is 22 + -4?
13
In base 4, what is 1 + 2313?
2320
In base 3, what is 12 + 10212?
11001
In base 15, what is 2 + 7?
9
In base 14, what is -844 + 3?
-841
In base 2, what is -1000101 - 10?
-1000111
In base 2, what is -110101 + 100011?
-10010
In base 11, what is 4 - 533a?
-5336
In base 9, what is -30 - -56?
26
In base 13, what is -6 + -5a?
-63
In base 16, what is -54a + 13?
-537
In base 2, what is -10011 - -10101?
10
In base 7, what is -230 - -2?
-225
In base 8, what is 31605 - 5?
31600
In base 11, what is -3 + 159?
156
In base 11, what is 6 - -1?
7
In base 15, what is b1 + -80?
31
In base 11, what is 1133 - -8?
1140
In base 7, what is 5 + 12262?
12300
In base 5, what is 12 - -303?
320
In base 5, what is -130 + 4?
-121
In base 7, what is 2320 - 0?
2320
In base 15, what is 3 + 4?
7
In base 6, what is 1202 - 0?
1202
In base 5, what is 4102 - 10?
4042
In base 7, what is 4 - 30543?
-30536
In base 12, what is 159 + -1?
158
In base 2, what is -111 - 1001010010?
-1001011001
In base 8, what is 4 + 146?
152
In base 11, what is 32 - 2?
30
In base 5, what is 23101 - -3?
23104
In base 8, what is -12 - -661?
647
In base 2, what is 100010 + 100?
100110
In base 6, what is 10 + 100?
110
In base 7, what is 261 - 2?
256
In base 2, what is -110 - -1000101101?
1000100111
In base 3, what is 1 - -101012?
101020
In base 5, what is 342 - -3?
400
In base 7, what is 121605 - -2?
121610
In base 7, what is 5 - -3106?
3114
In base 15, what is -4 - -d?
9
In base 4, what is 10201 + 3?
10210
In base 7, what is -1203 - 5?
-1211
In base 15, what is 2 - 41?
-3e
In base 4, what is -1301 - -11?
-1230
In base 11, what is -9 - -110?
102
In base 16, what is -4 + a?
6
In base 7, what is 2 + -1201?
-1166
In base 15, what is 34 + -2?
32
In base 7, what is 4200 - 12?
4155
In base 15, what is -16 - -8?
-d
In base 9, what is -1 + -164?
-165
In base 4, what is 320 + -233?
21
In base 8, what is 17 - -5?
24
In base 13, what is -3 + -297?
-29a
In ba | {
"pile_set_name": "DM Mathematics"
} |
465 to the nearest one thousand.
7000
What is -4113.60481 rounded to one decimal place?
-4113.6
Round 64.8877789 to the nearest ten.
60
Round -2126641680 to the nearest one million.
-2127000000
Round 13.7163068 to three decimal places.
13.716
What is 1553935.951 rounded to the nearest ten?
1553940
What is -0.000496191241 rounded to four decimal places?
-0.0005
What is 0.0000058948061 rounded to seven dps?
0.0000059
Round -19434406.696 to the nearest ten thousand.
-19430000
What is 9.712429835 rounded to the nearest integer?
10
Round 36.0325577 to the nearest ten.
40
Round -189.1051229 to 2 dps.
-189.11
Round -552.911908 to 1 dp.
-552.9
Round -0.0694880643 to four decimal places.
-0.0695
What is -251.14322 rounded to the nearest integer?
-251
Round 0.236940373 to three dps.
0.237
What is 133442.282 rounded to the nearest 100?
133400
What is 8074.4472 rounded to the nearest 1000?
8000
What is -53757358.7 rounded to the nearest one million?
-54000000
What is 0.000545720236 rounded to seven dps?
0.0005457
Round 88903.943 to the nearest ten thousand.
90000
Round -0.00058336391 to four decimal places.
-0.0006
What is 484963.367 rounded to the nearest 10000?
480000
Round 0.11041077 to 2 decimal places.
0.11
Round 2913872.4 to the nearest one hundred thousand.
2900000
What is 12526.97593 rounded to the nearest one thousand?
13000
What is 1819.278127 rounded to the nearest integer?
1819
What is -104602.172 rounded to the nearest ten thousand?
-100000
Round 0.0025650015 to five decimal places.
0.00257
What is 2410376876 rounded to the nearest one hundred thousand?
2410400000
What is 0.00079120816 rounded to 6 dps?
0.000791
What is 0.0121808429 rounded to five decimal places?
0.01218
What is -1043.913 rounded to the nearest one hundred?
-1000
Round -12272636.779 to the nearest 1000000.
-12000000
What is 0.00356687128 rounded to four dps?
0.0036
Round -0.0000046510893 to 6 decimal places.
-0.000005
What is -2264265403 rounded to the nearest one hundred thousand?
-2264300000
Round -78052.1171 to the nearest 100.
-78100
Round 196.290885 to the nearest ten.
200
Round -0.00000101717898 to seven dps.
-0.000001
What is -0.347454784 rounded to one dp?
-0.3
Round -19957993.1 to the nearest one thousand.
-19958000
Round -4.572170149 to one dp.
-4.6
What is -1.03958826 rounded to two decimal places?
-1.04
Round 9569.718 to the nearest one thousand.
10000
Round 62033804.1 to the nearest one million.
62000000
Round 0.4300699107 to 4 dps.
0.4301
What is -0.00795382728 rounded to 6 dps?
-0.007954
What is 0.01659878205 rounded to three dps?
0.017
Round -618.578143 to the nearest integer.
-619
What is 70918.91841 rounded to the nearest 10?
70920
Round -0.0002120125333 to 5 decimal places.
-0.00021
Round -3752.8596 to the nearest integer.
-3753
Round -13.3267925 to 2 decimal places.
-13.33
Round -0.0301779924 to two dps.
-0.03
What is -6843830 rounded to the nearest one million?
-7000000
Round -0.00000302263239 to seven dps.
-0.000003
What is -0.000277009113 rounded to seven dps?
-0.000277
Round 69167.73 to the nearest one thousand.
69000
Round -135583956 to the nearest ten thousand.
-135580000
Round 0.0126922159 to three dps.
0.013
What is 148.7441469 rounded to 2 decimal places?
148.74
What is -40584044.96 rounded to the nearest one thousand?
-40584000
What is 307.1427157 rounded to 1 decimal place?
307.1
What is -2707.86763 rounded to the nearest 10?
-2710
Round -0.00523056232 to 3 decimal places.
-0.005
What is 0.000000987166144 rounded to 6 dps?
0.000001
What is -39630591 rounded to the nearest 100000?
-39600000
What is -15.84103899 rounded to the nearest 10?
-20
What is 2.3442463 rounded to 3 dps?
2.344
What is 75758241 rounded to the nearest 10000?
75760000
Round 84.6615833 to 1 decimal place.
84.7
Round 56.74852384 to zero decimal places.
57
What is 35461.2852 rounded to the nearest 1000?
35000
What is -2339239.95 rounded to the nearest 10000?
-2340000
What is 0.000151771984 rounded to 5 decimal places?
0.00015
Round -5009942.67 to the nearest one hundred thousand.
-5000000
What is 6619010.9 rounded to the nearest ten thousand?
6620000
What is -9552476 rounded to the nearest 10000?
-9550000
Round 87383.2756 to the nearest 10.
87380
Round 8692.73368 to the nearest 100.
8700
What is -34771.797 rounded to the nearest ten?
-34770
Round -0.0000422053477 to 5 decimal places.
-0.00004
Round -0.001134880183 to seven dps.
-0.0011349
What is 1.4154227 rounded to 1 dp?
1.4
Round -0.00135020457 to 6 dps.
-0.00135
What is 3073302.04 rounded to the nearest 100000?
3100000
What is -368006.3319 rounded to the nearest 100?
-368000
Round 376.081209 to one dp.
376.1
What is 155469609.45 rounded to the nearest 100000?
155500000
What is -1.45728832 rounded to two decimal places?
-1.46
What is -22970.835 rounded to the nearest 10?
-22970
Round 1401256280 to the nearest one hundred thousand.
1401300000
What is -1457.7989076 rounded to the nearest ten?
-1460
Round -28.3384756 to zero decimal places.
-28
What is -9.37632027 rounded to 2 dps?
-9.38
What is 0.0013106070667 rounded to seven decimal places?
0.0013106
What is -4315.24076 rounded to the nearest 1000?
-4000
Round 19.0421032 to 2 dps.
19.04
What is -256447.45 rounded to the nearest one hundred?
-256400
What is 63926327 rounded to the nearest one million?
64000000
What is 5921488.8 rounded to the nearest ten thousand?
5920000
Round -11133.4349 to the nearest integer.
-11133
Round 74.4970878 to three dps.
74.497
Round -1.3969016 to 1 decimal place.
-1.4
What is 13413.14409 rounded to the nearest 100?
13400
Round -560.347004 to the nearest integer.
-560
What is -23360442.13 rounded to the nearest 1000000?
-23000000
Round 1.550915551 to two decimal places.
1.55
What is 3.813785979 rounded to two dps?
3.81
What is -2299994.05 rounded to the nearest ten thousand?
-2300000
What is 2037.439389 rounded to the nearest integer?
2037
Round 0.0007653991413 to 6 decimal places.
0.000765
Round -4622.96055 to 1 decimal place.
-4623
What is -4324532.38 rounded to the nearest ten thousand?
-4320000
What is -6730854830 rounded to the nearest 1000000?
-6731000000
Round 0.07891663557 to 4 dps.
0.0789
What is 0.494605135 rounded to four decimal places?
0.4946
Round 152.52782 to the nearest integer.
153
What is 65.0818491 rounded to the nearest 10?
70
Round 0.00000054500005 to seven dps.
0.0000005
What is 0.629042077 rounded to three dps?
0.629
Round -1.8698277 to three dps.
-1.87
What is 2409879.5 rounded to the nearest 1000000?
2000000
Round 255435291.9 to the nearest one million.
255000000
What is 16.31062999 rounded to the nearest 10?
20
Round 2604.47276 to the nearest one thousand.
3000
What is -0.0653379074 rounded to 3 decimal places?
-0.065
Round 1492767363 to the nearest 1000000.
1493000000
Round -0.001135498757 to six decimal places.
-0.001135
What is -2053.1465 rounded to the nearest 10?
-2050
Round -502522.5589 to the nearest one thousand.
-503000
What is 0.0037598062 rounded to six decimal places?
0.00376
Round 0.000063803683 to 6 decimal places.
0.000064
What is -0.010990728 rounded to 4 decimal places?
-0.011
What is 32715.5563 rounded to the nearest 1000?
33000
Round -1937393270 to the nearest one hundred thousand.
-1937400000
What is -0.0398816439 rounded to 2 decimal places?
-0.04
Round -246383.4747 to the nearest 10000.
-250000
What is 2452.331488 rounded to the nearest one thousand?
2000
Round -0.00003241533317 to 6 dps.
-0.000032
What is -0.074432051 rounded to 5 dps?
-0.07443
Round 681622.69 to the nearest one hundred.
681600
Round -0.10515697 to 2 decimal places.
-0.11
Round 104360.9092 to the nearest ten.
104360
Round -2016887270 to the nearest 100000.
-2016900000
Round 0.000172429316 to seven decimal places.
0.0001724
Round -0.0080880795 to 6 dps.
-0.008088
What is 0.0000005349183473 rounded to seven dps?
0.0000005
What is -0.00736784959 rounded to five decimal places?
-0.00737
Round 0.0000313812301 to 6 dps.
0.000031
Round 0.0030786821 to 6 decimal places.
0.003079
What is -1.881450562 rounded to 1 dp?
-1.9
What is 5815.84601 rounded to zero dps?
5816
Round 3131207.883 to the nearest 100000.
3100000
Round 7.07026467 to three dps.
7.07
Round 870345459.9 to the nearest one hundred thousand.
870300000
Round -0.10029951105 to | {
"pile_set_name": "DM Mathematics"
} |
vative of a**5 - 123*a**3*x**3 - 2*a + 80*x**3 wrt a?
20*a**3 - 738*a*x**3
Find the second derivative of -2*v**5 - 3*v**4 - 8*v - 5.
-40*v**3 - 36*v**2
What is the first derivative of 27*l**3*s**2 - 117*l*s**3 + 2*s**3 - 51*s**2 - 130 wrt l?
81*l**2*s**2 - 117*s**3
Find the second derivative of -29*f**2 + 175*f.
-58
What is the first derivative of -13742*c**4 + 8365 wrt c?
-54968*c**3
Differentiate 3583*v**4 - 6451 wrt v.
14332*v**3
Find the third derivative of -1056*v**4 - 273*v**2 + 4.
-25344*v
Find the third derivative of 13*g**3*q - 5*g**3 - 189*g**2*q + 2*g*q wrt g.
78*q - 30
Differentiate 2*a**3*g**3 + 256*a*g**3 - 3*g**3 + 47 with respect to a.
6*a**2*g**3 + 256*g**3
What is the second derivative of -2233*n**4 + 1790*n?
-26796*n**2
Differentiate -2*c**2*u**2 - 1683*c*u + 5960*u**2 with respect to c.
-4*c*u**2 - 1683*u
Differentiate 18*g**2 + 5*g - 539 wrt g.
36*g + 5
Find the third derivative of -50*h**3 - 143*h**2.
-300
Differentiate 105*n**3 + 152 with respect to n.
315*n**2
What is the third derivative of 10*b**4*q*t - 2*b**4*t + 5*b**3*q*t + 5*b**2*q - b**2 + b*q*t - b*q wrt b?
240*b*q*t - 48*b*t + 30*q*t
What is the third derivative of -16148*v**3 - 3*v**2 + 150 wrt v?
-96888
Find the second derivative of -11*o**3 + 34*o**2 + 1966*o + 1.
-66*o + 68
Find the third derivative of 60*h**3*l**3 + h**2*l - h**2 - 5*h*l**3 wrt h.
360*l**3
What is the derivative of 4*h*s**2 - h*s - 1910*h - 583*s**2 - s + 1 wrt h?
4*s**2 - s - 1910
What is the third derivative of -2*i**4 + 1307*i**3 - 14*i**2 - 2?
-48*i + 7842
What is the first derivative of 10*u*v**2 + 2*u*v + 6*u - v**2 - 8 wrt v?
20*u*v + 2*u - 2*v
Find the second derivative of -300*k**3 + 1781*k wrt k.
-1800*k
Find the second derivative of -3*z**4 - 114*z**3 - 106*z + 3.
-36*z**2 - 684*z
Find the third derivative of -884*o**6 - 982*o**2.
-106080*o**3
Find the second derivative of 13*d*l**3*s**5 - 2*d*l**3*s + 4*d*l*s**5 + 7*d*s + 3*s wrt s.
260*d*l**3*s**3 + 80*d*l*s**3
Find the third derivative of -46*j**4*x**3 - 8*j**4*x**2 + 3*j**3 + 538*j**2*x**3 + 4*j*x**3 wrt j.
-1104*j*x**3 - 192*j*x**2 + 18
What is the third derivative of -600*y**5 - 5*y**4 + 3293*y**2?
-36000*y**2 - 120*y
What is the second derivative of 691*i**3*v**3 + 2*i**3 + 597*i*v - 2*v**3 wrt v?
4146*i**3*v - 12*v
Find the second derivative of 675*l**2*x**3 + 7*l*x + 28*x**3 + 4 wrt l.
1350*x**3
What is the third derivative of 197*r**3 + 55*r**2 - 2?
1182
What is the third derivative of 775*h**5 - 2*h**2 - 446?
46500*h**2
What is the third derivative of -4*b**5 - 21*b**4 + 66*b**2 wrt b?
-240*b**2 - 504*b
What is the second derivative of 217*x**4 - x**2 + 266*x wrt x?
2604*x**2 - 2
Find the first derivative of -m**3 - 4*m**2 + 3*m + 4883.
-3*m**2 - 8*m + 3
Find the first derivative of 48*f**4 - 3*f**3 + 638.
192*f**3 - 9*f**2
Find the second derivative of 3*p**5 + 446*p**3 + 30*p + 46.
60*p**3 + 2676*p
Find the second derivative of -2960*u**4 - u**2 + u + 5708.
-35520*u**2 - 2
What is the third derivative of 36*c**3*s**3 - 6*c**3*s**2 - 3*c**2*s**3 - c**2*s + 4*c**2 - 10*s**3 wrt c?
216*s**3 - 36*s**2
Find the second derivative of 2*g**3*v**2 - 2*g**3*v - g**3 - 179*g**2 - 650*g*v**2 wrt v.
4*g**3 - 1300*g
Find the third derivative of -2*f**3*u**2 + 3*f**3 - 2*f**2*u + 56*f*u**2 wrt f.
-12*u**2 + 18
What is the derivative of -13*i**2 + i - 138?
-26*i + 1
Find the second derivative of -24*a**3 - 9*a**2 + 1158*a - 2.
-144*a - 18
What is the third derivative of -200*q**6 - q**2 - 81*q?
-24000*q**3
What is the derivative of 182*c*f**2 + c - 5273*f**2 wrt c?
182*f**2 + 1
Find the second derivative of 572*g*h**4 - 3*g*h**3 - 45*g*h + 2*h**4 + 2*h + 2 wrt h.
6864*g*h**2 - 18*g*h + 24*h**2
Find the second derivative of -822*u**4 + 1047*u wrt u.
-9864*u**2
What is the third derivative of 3*d**2*k**4 + 2*d**2*k**3 + d**2 + 11*d*k**2 - 24*k**4 + 2*k wrt k?
72*d**2*k + 12*d**2 - 576*k
Find the third derivative of d**5 + 3*d**4*j - 2*d**3*j + 14*d**2*j - 6*d**2 wrt d.
60*d**2 + 72*d*j - 12*j
What is the third derivative of -27*n**5 - n**2 + 105*n wrt n?
-1620*n**2
Find the third derivative of -184*t**4 + 411*t**2.
-4416*t
Find the first derivative of g**3 - 532*g**2 + 4*g + 2644.
3*g**2 - 1064*g + 4
Find the second derivative of 1020*j**2*w**3*z**2 + 14*j**2*w**3*z - j**2*w**3 + 2*j**2*z**5 + 8*j**2*z wrt z.
2040*j**2*w**3 + 40*j**2*z**3
Differentiate 1633*f*o - 3*f + 1812*o with respect to f.
1633*o - 3
Find the second derivative of -4*f**2*i**4 + 68*f**2*i + f*i + 24*i**4 wrt i.
-48*f**2*i**2 + 288*i**2
What is the third derivative of 4*k**2*v**4 + 2*k**2*v + k*v**3 - 21*v**4 - 6*v**2 + 27*v wrt v?
96*k**2*v + 6*k - 504*v
Find the third derivative of -2*i**3*k*v**3 + 55*i**3*k*v - 3*i**3*v + 18*i**2*k*v**3 - i**2*v + 8*k wrt i.
-12*k*v**3 + 330*k*v - 18*v
Find the second derivative of -382*n**2 - 4*n - 2 wrt n.
-764
Find the third derivative of 8*a**5 - 13*a**3 - 494*a**2.
480*a**2 - 78
What is the second derivative of p**5 - p**3 + 1751*p**2 + 133*p - 16 wrt p?
20*p**3 - 6*p + 3502
Find the third derivative of 2201*m*s**6 - 106*m + 2*s**2 wrt s.
264120*m*s**3
What is the second derivative of -38*i**2*k**4 - 132*i**2*k + k**4 wrt k?
-456*i**2*k**2 + 12*k**2
What is the third derivative of -2380*f**3 + 2*f**2 + 123*f wrt f?
-14280
Find the second derivative of -15*j**2*v**3 + 8*j**2 + 17*j*v**2 - 5*j - 2*v**3 wrt j.
-30*v**3 + 16
What is the third derivative of 2*z**5 + 105*z**3 + 163*z**2 wrt z?
120*z**2 + 630
Differentiate 68*x**4 + 210.
272*x**3
Differentiate -1872*h**3*w + 1811*h**3 wrt w.
-1872*h**3
What is the third derivative of 41*x**3 - x**2 - 25*x?
246
Differentiate 2*f*m*s**2 + 2*f - 22*j*m*s**3 + 19*j*m - 12*j*s + 40*m wrt s.
4*f*m*s - 66*j*m*s**2 - 12*j
Find the third derivative of 6*d**3*m**2 + 51*d**3*m*x**2*z + 4*d**2*x**2 + 11*d**2 - d*m**2 - d*z wrt d.
36*m**2 + 306*m*x**2*z
What is the third derivative of -1972*s**5 + 55*s**2 + 2*s wrt s?
-118320*s**2
Find the second derivative of 5465*q**2 - 937*q + 4 wrt q.
10930
What is the second derivative of 168*o**3*z**2 + 3*o**3*z - 5*o*z - z wrt z?
336*o**3
Differentiate -14*o**2*q - 2*o**2 + 2*o*q + o + 7109*q with respect to o.
-28*o*q - 4*o + 2*q + 1
Find the first derivative of 2*c*t**2 - 2*c*t*v**3 - 7*c*v**3 + c*v**2 + 2*c*v - 5*t*v**3 wrt t.
4*c*t - 2*c*v**3 - 5*v**3
What is the first derivative of 6*k**2 - 433*k - 6582?
12*k - 433
Find the third derivative of -i**3*j**3 - 19*i**3*j + 2*i**2*j**3 - 5708*i**2*j wrt i.
-6*j**3 - 114*j
What is the third derivative of -47*j**6 - 115*j**2?
-5640*j**3
What is the second derivative of 17*h*z**3 + h*z**2 + 2*h*z - 18*z**3 + 8*z + 10 wrt z?
102*h*z + 2*h - 108*z
Find the third derivative of 2*o**6 - 843*o**5 - 2*o**4 + 59*o**2 - 13.
240*o**3 - 50580*o**2 - 48*o
Find the third derivative of 2115*g**5 + 415*g**2 + 3*g wrt g.
126900*g**2
Find the third derivative of -38*o**4 - o**3 - 210*o**2.
-912*o - 6
What is the second derivative of 258*h**4*i - 2*h**3*i - 25*h + 5*i wrt h?
3096*h**2*i - 12*h*i
Find the third derivative of -500*d**5 + 615*d**2.
-30000*d**2
What is the third derivative of -18*c**2*s**4 + c**2*s**2 - 10*c**2 - 20*c*s**4 + 2*c*s**3 + 17*c*s wrt s?
-432*c**2*s - 480*c*s + 12*c
What is the second derivative of g**2*i**2 + 110*g**2 - 8*g*i**2 - 3*g*i + 2*i**2 wrt g?
2*i**2 + 220
Find the first derivative of -d**3*l - 8*d**3 - 3*d**2*l + l + 294 wrt d.
-3*d**2*l - 24*d**2 - 6*d*l
Differentiate -276*k**3*n - 78*k**3 + 1 with respect to n.
-276*k**3
Find the third derivative of -d**3*g*w + 3*d**3*g - 43*d**3*w - 14*d**2*g*w + d**2*g - 3*d**2*w wrt d.
-6*g*w + 18*g - 258*w
What is the third derivative of -2*k**4 - 104*k**3 - 32*k**2 - 3*k?
-48*k - 624
Differentiate i*j**2*s + 57*i*j*s + i*s - 2*j**4*s - 11*s with respect to j.
2*i*j*s + 57*i*s - 8*j**3*s
What is the second derivative of 4*k**4 + 13*k**3 + 6*k - 1 wrt k?
48*k**2 + 78*k
Find the third derivative of 2157*m**3*n**4 - 5*m**3*n + 33*m*n**2 wrt n.
51768*m**3*n
What is the derivative of -11663*h + 520 wrt h?
-11663
Find the second derivative of -1178*c*d**3 + 3*c*d - 40*c wrt d.
-7068*c*d
What is the third derivative of -47*c**4 + 7*c**3 - 91*c**2?
-1128*c + 42
What is the third derivative of -7*r**5 + 53*r**4 + r**3 + 12423*r**2?
-420*r**2 + 1272*r + | {
"pile_set_name": "DM Mathematics"
} |
y**3 - 40*y**2 - 95*y - 10. Calculate j(12).
2
Let h(j) = 2192*j + 13186. Determine h(-6).
34
Let i(h) = h**3 + 29*h**2 + 2*h + 978. Calculate i(-30).
18
Let h(w) = w**2 - 140*w + 1783. Give h(126).
19
Let j(x) = -18*x**3 + 145*x**2 + 17*x - 199. Give j(8).
1
Let j(w) = -w**3 - 13*w**2 + 36*w - 191. Calculate j(-16).
1
Let w(b) = -84*b**2 + 4366*b + 109. Give w(52).
5
Let r(g) = -g**3 + 6*g**2 + 19*g + 56. What is r(11)?
-340
Let q(b) = b - 58. Give q(71).
13
Let u(x) = x**3 - 35*x**2 + 29*x + 80. Determine u(34).
-90
Let n(d) = 56*d - 12320. Determine n(220).
0
Let j(y) = -y**3 - 130*y**2 - 977*y - 123. Calculate j(-122).
-1
Let l(u) = -u**3 - 62*u**2 + 402*u + 26. Calculate l(6).
-10
Let r(o) = 641*o + 82697. Determine r(-129).
8
Let r(y) = y**2 + 1696*y + 118484. What is r(-73)?
5
Let f(l) = 7*l**2 - 19*l + 74. Calculate f(6).
212
Let p(z) = z**3 - 13*z**2 - 19*z + 7. Calculate p(14).
-63
Let i(h) = 2*h**2 + 22*h - 151. Give i(9).
209
Let f(t) = -t**3 + 3*t**2 + 16*t - 10. Determine f(-4).
38
Let h(t) = -13*t**3 - 2*t**2 + 11*t + 45. Calculate h(-3).
345
Let f(y) = 708*y - 4950. Calculate f(7).
6
Let i(p) = p**2 - 79*p - 287. Determine i(83).
45
Let i(m) = 155*m + 2326. Determine i(-15).
1
Let f(b) = -b**3 + 34*b**2 + 410*b - 3117. Determine f(42).
-9
Let k(q) = 18*q**2 + 143*q + 2. Calculate k(-8).
10
Let f(t) = -t**2 - 1171*t - 10431. Calculate f(-9).
27
Let s(k) = -3*k + 1. What is s(-17)?
52
Let u(k) = -3*k**3 - 13*k**2 - 5*k - 1. Calculate u(-5).
74
Let f(n) = -24*n**2 + 488*n - 150. Calculate f(20).
10
Let s(w) = 16*w**2 + 78*w - 15. Give s(-5).
-5
Let b(m) = m + 28. Calculate b(-28).
0
Let r(s) = 272*s + 38627. What is r(-142)?
3
Let i(o) = o**3 - 4*o**2 + 835*o - 1651. What is i(2)?
11
Let d(h) = -9*h - 235. What is d(-28)?
17
Let t(n) = -n**2 + 13*n - 27. Give t(5).
13
Let y(x) = -3*x**2 - 272*x - 445. Determine y(-89).
0
Let g(o) = 4*o**2 - 141*o - 113. Give g(36).
-5
Let z(j) = j**3 + 17*j**2 + 50*j + 30. Give z(-7).
170
Let x(f) = f**3 - 10*f**2 - 22*f - 20. What is x(11)?
-141
Let m(c) = 8403*c + 142847. Determine m(-17).
-4
Let m(s) = 606*s - 2936. What is m(5)?
94
Let d(a) = -2*a**2 - 174*a + 5616. Calculate d(-112).
16
Let l(z) = 3553*z - 284242. Give l(80).
-2
Let y(d) = -d**2 + 31*d - 179. Calculate y(5).
-49
Let n(l) = l**3 + 10*l**2 + 435*l + 3802. What is n(-9)?
-32
Let n(d) = -2*d**3 - 122*d**2 + 133*d + 565. Give n(-62).
7
Let y(n) = 82*n + 4672. What is y(-57)?
-2
Let q(c) = 14*c + 101. What is q(-10)?
-39
Let p(z) = -674*z**2 - 45*z - 45. What is p(-1)?
-674
Let z(j) = -23*j + 1453. What is z(62)?
27
Let y(q) = -q**3 - 25*q**2 - 46*q + 57. Calculate y(-23).
57
Let j(i) = i**3 + 37*i**2 + 353*i + 284. Determine j(-16).
12
Let r(c) = -372*c - 4461. What is r(-12)?
3
Let o(i) = 229*i**2 + 21*i + 20. Determine o(-1).
228
Let k(x) = 2*x**2 + 112*x + 626. What is k(-50)?
26
Let l(b) = 94*b - 659. What is l(7)?
-1
Let o(i) = i**2 + 13*i - 11. Calculate o(-16).
37
Let a(y) = 22*y + 445. Calculate a(-20).
5
Let o(l) = l**3 - 7*l**2 - 22*l + 69. Give o(7).
-85
Let b(d) = -d**3 - d**2 + 35*d + 3. Give b(6).
-39
Let p(u) = u**2 - 268*u - 7641. Calculate p(-26).
3
Let u(b) = -79*b - 143. Give u(7).
-696
Let c(x) = -120*x**2 - 13*x + 12. What is c(1)?
-121
Let t(x) = x**3 - 5*x**2 - 70*x + 8. What is t(11)?
-36
Let c(v) = -50*v**2 + 17152*v - 679. What is c(343)?
7
Let s(p) = 2*p**3 - 23*p**2 + 19*p + 33. Determine s(10).
-77
Let s(c) = -39*c + 51. Give s(7).
-222
Let p(u) = -15*u**2 - 65*u + 116. Determine p(-8).
-324
Let q(s) = -5*s**3 + 26*s**2 - 13*s - 46. Calculate q(2).
-8
Let p(s) = -s**3 + 25*s**2 - 136*s - 12. What is p(8)?
-12
Let b(j) = 1195*j + 132642. What is b(-111)?
-3
Let x(o) = -47*o - 70. Give x(8).
-446
Let r(y) = -2*y**2 - 34*y + 43. Calculate r(-16).
75
Let a(f) = -f**3 - 12*f**2 + 74*f + 43. Determine a(-16).
-117
Let p(g) = -702*g - 31587. Calculate p(-45).
3
Let g(d) = -93*d - 14394. Determine g(-155).
21
Let k(x) = -4*x**2 + 86*x - 12. Calculate k(29).
-882
Let d(x) = 7*x + 11. Calculate d(-29).
-192
Let h(s) = s**3 + 55*s**2 - 576*s - 9. Calculate h(-64).
-9
Let k(l) = -3745*l + 7458. Give k(2).
-32
Let q(r) = -797*r - 8761. Give q(-11).
6
Let r(g) = 1388*g - 20820. What is r(15)?
0
Let w(l) = -65*l - 906. Give w(-15).
69
Let k(i) = -3*i**2 + 42*i - 1. Calculate k(14).
-1
Let y(z) = -722*z + 12988. Give y(18).
-8
Let w(q) = 3994*q - 27939. Determine w(7).
19
Let k(t) = -t**2 + 90*t - 374. Give k(86).
-30
Let u(x) = -151*x - 13015. Calculate u(-86).
-29
Let s(r) = -19*r**2 + 381*r + 374. What is s(21)?
-4
Let c(k) = 2*k**3 + 176*k**2 + 849*k + 1573. Give c(-83).
-4
Let s(w) = -81*w + 1383. What is s(17)?
6
Let w(o) = -o**2 + 294*o + 904. Determine w(-3).
13
Let r(u) = -184*u - 725. Determine r(-4).
11
Let x(z) = 17*z - 339. What is x(18)?
-33
Let t(n) = n**2 + 5*n + 104. Give t(-13).
208
Let z(o) = 217*o - 2311. Give z(14).
727
Let c(i) = 2*i**2 + 24*i - 90. Give c(-16).
38
Let z(a) = -2*a**2 - 15907*a + 47741. Determine z(3).
2
Let b(l) = 10*l**2 - 304*l - 181. What is b(31)?
5
Let c(v) = v**3 - 34*v**2 + 30*v + 80. What is c(33)?
-19
Let l(p) = 93*p + 555. Determine l(-6).
-3
Let n(p) = 118*p - 67. Give n(3).
287
Let t(q) = -20*q + 50. Give t(8).
-110
Let v(l) = l**2 + 7*l - 14. What is v(13)?
246
Let a(v) = -882*v - 835. Give a(-1).
47
Let b(o) = o**3 - 10*o**2 - 23*o + 214. Calculate b(10).
-16
Let b(l) = 2*l**3 + 24*l**2 - 14*l - 58. Give b(-10).
482
Let w(s) = s**3 + 21*s**2 - 18*s + 37. Give w(-22).
-51
Let w(v) = 2*v**3 - 40*v**2 - 5*v + 1. Calculate w(20).
-99
Let j(y) = -499*y + 38919. What is j(78)?
-3
Let k(f) = -f**2 + 276*f - 2416. Determine k(9).
-13
Let o(c) = -2*c**3 - 10*c**2 - 13*c - 129. What is o(-6)?
21
Let r(y) = y**3 + 29*y**2 + 81*y - 3. What is r(-26)?
-81
Let o(g) = g**3 - 50*g**2 - 108*g + 160. What is o(52)?
-48
Let w(d) = 11*d**3 - 4*d**2 + 63*d - 104. Calculate w(2).
94
Let n(i) = 177*i**3 + 2*i**2 - 3*i - 5. Give n(-1).
-177
Let f(m) = -8*m**2 - 5*m + 187. Give f(10).
-663
Let m(u) = -22*u + 80. Give m(0).
80
Let j(v) = 8*v**2 + 6*v + 8. What is j(-2)?
28
Let o(t) = 4*t**2 - 119*t - 17. Calculate o(30).
13
Let k(s) = -16*s + 10. Give k(-4).
74
Let l(b) = b**3 + 3*b**2 - 27*b - 6. What is l(4)?
-2
Let p(d) = 15*d**2 - 78*d + 382. What is p(5)?
367
Let k(x) = -3*x**3 - 3*x**2 + 9*x - 13. Give k(-5).
242
Let a(j) = -j**3 + 34*j**2 - 94*j + 16. Determine a(31).
-15
Let c(y) = -1302*y - 23455. Determine c(-18).
-19
Let r(v) = 16*v**2 + 317*v - 28. Give r(-20).
32
Let f(d) = -d**3 + 35*d**2 - 118*d - 190. Determine f(31).
-4
Let b(n) = n**3 - 10*n**2 - 32*n - 7. Determine b(-2).
9
Let z(p) = 959*p - 78640. Determine z(82).
-2
Let j(n) = 7*n**2 - 18*n - 19. Calculate j(-1).
6
Let n(w) = -47*w**3 + w**2 + w - 2. Determine n(2).
-372
Let t(h) = 13*h**2 - 238*h - 17. Determine t(20).
423
Let a(w) = 1393*w - 11147. Determine a(8).
-3
Let w(d) = -d**3 - 6*d**2 - 3*d + 51. What is w(4)?
-121
Let j(u) = 21*u - 444. What is j(24)?
60
Let d(p) = -p**3 + 14*p**2 - 5*p - 70. Give d(10).
280
Let i(x) = 2*x**2 + 34*x - 12. What is i(-29)?
684
Let y(o) = 16*o - 145. What is y(11)?
31
Let h(r) = r**2 + 46*r + 135. Give h(-3).
6
Let i(h) = h**2 + 33*h + 208. What is i(-27)?
46
Let q(d) = 82*d. Give q(-3).
-246
Let k(p) = -2780*p - 200154. What is k(-72)?
6
Let v(u) = 41*u - 834. Calculate v(10).
-424
Let u(t) = 5*t**2 - 48*t - 184. Determine u(-3).
5
Let o(p) = 4*p**2 + 10*p - 20. Give o(2).
16
Let y(p) = -2*p**2 - 372*p - 1825. Calculate y(-5).
-15
Let c(y) = 135*y + 804. Determine c(-6).
-6
Let u(s) = -19*s**2 - 438*s - 34. What is u(-23)?
-11
Let z(o) = 4*o**3 - 49*o**2 - 2*o + 95. What is z(12)?
-73
Let a(j) = 2*j**3 + 9*j**2 - 19*j - 13. Determine a(2).
1
Let k(h) = -37*h - 342. Determine k(-11).
65
Let m(w) = -13*w**3 + 912*w**2 - 134*w - 418. What is m(70)?
2
Let a(z) = -10*z**3 - z**2 + 2*z - 1. Calculate a(2).
-81
Let h(k) = -3*k**2 - 7*k + 144. What is h(-9)?
-36
Let d(v) = 32*v**2 + 148*v - 11. What is d(-5)?
49
Let b(i) = 2*i**3 + 5*i**2 - 6*i - 4. Determine b(-2).
12
Let j(t) = t**3 + 11*t**2 + 14*t - 6. What is j(-9)?
30
Let r(j) = 1129*j + 6768. Determine r(-6).
-6
Let u(o) = -o**2 - 252*o - 3582. Determine u(-15).
-27
Let r(l) = l**3 + l**2 + 188*l - 2. Determine r(0).
-2
Let | {
"pile_set_name": "DM Mathematics"
} |
- 5/42*a**7 + 0*a**2 - 5/6*a**4. Determine w, given that u(w) = 0.
-1, 0, 1
Let f be -2*(7 + (-12)/3 + -4). Suppose -7 = -6*w + 3*w - f*d, -5*w + 4*d + 19 = 0. Find t such that 0*t**2 - 1/2*t**w + 3/2*t - 1 = 0.
-2, 1
Let s = 19 - 11. Suppose -30 = -5*p - 5*q, -3*q + s*q + 15 = 4*p. Factor -c**3 - 6*c**3 - 2*c**2 + p*c**3.
-2*c**2*(c + 1)
Let g = -3303 - -3305. Find v such that -24/7*v - 12/7*v**g + 0 + 18/7*v**3 + 15/7*v**4 + 3/7*v**5 = 0.
-2, 0, 1
Let u(r) be the third derivative of r**7/6 - 43*r**6/120 - r**5/25 + 17*r**4/30 - 8*r**3/15 - 147*r**2. Determine g, given that u(g) = 0.
-4/7, 2/5, 1
Let -9 + 417*b**2 - 6*b - 833*b**2 + 415*b**2 = 0. Calculate b.
-3
Let f(r) be the third derivative of -r**8/13440 - r**7/1260 - r**6/360 + r**4/24 + 14*r**2. Let z(g) be the second derivative of f(g). Factor z(y).
-y*(y + 2)**2/2
Factor 1849/4 - 85/4*w**2 - 1763/4*w - 1/4*w**3.
-(w - 1)*(w + 43)**2/4
Let y be 3/(30/80) + -6. Factor -2/3 + u - 1/3*u**y.
-(u - 2)*(u - 1)/3
Let b(y) be the second derivative of 0 - y**2 + 1/6*y**3 + 6*y + 1/12*y**4. Factor b(s).
(s - 1)*(s + 2)
Let d(n) = 3*n**2 - 18*n - 15. Let k(f) = -3 + 1 - 32*f + 33*f + 3. Let b(h) = d(h) + 15*k(h). Factor b(s).
3*s*(s - 1)
Let v be (-2)/(-15) + -8*565/(-2100). Factor -8/7*w**2 - v*w**3 + 36/7 + 4/7*w**4 + 48/7*w.
4*(w - 3)**2*(w + 1)**2/7
Let s = -473 + 476. Let n(m) be the second derivative of -2/7*m**2 + 0 - 5/21*m**s + 1/35*m**5 + 5*m - 1/42*m**4. Factor n(u).
2*(u - 2)*(u + 1)*(2*u + 1)/7
Suppose 5*y - 11*y + 48 = 0. Let -4*u**2 + 3*u + y*u + 69 - 75 - u**3 = 0. Calculate u.
-6, 1
Let r(c) = c - 8. Let h be r(11). Let f = -87 - -90. Factor 0 - f*p**2 + 3/2*p**h + 3/2*p.
3*p*(p - 1)**2/2
Let y(v) = -145*v**3 - 1365*v**2 - 7840*v - 6460. Let d(n) = 11*n**3 + 105*n**2 + 603*n + 497. Let p(z) = -40*d(z) - 3*y(z). Factor p(f).
-5*(f + 1)*(f + 10)**2
Let o(q) be the third derivative of -8*q**2 + 0*q + 0*q**6 + 1/105*q**7 + 0*q**3 + 1/6*q**4 + 0 - 1/10*q**5. Find a such that o(a) = 0.
-2, 0, 1
Let d(v) be the first derivative of -14*v**5/5 + 5*v**4 + 26*v**3 - 18*v**2 - 748. Suppose d(a) = 0. Calculate a.
-2, 0, 3/7, 3
Let j(o) be the second derivative of -3/20*o**5 + 1/2*o**3 - 1/12*o**4 - 3 + o + o**2 - 1/30*o**6. Let j(q) = 0. Calculate q.
-2, -1, 1
Let z = 942 + -942. What is d in -4/3*d**2 - 7*d**4 + 0*d + 16/3*d**3 + 3*d**5 + z = 0?
0, 2/3, 1
Let y be (-24)/((-42)/7) - 1. Let i(v) be the third derivative of 0*v + 0 - 1/12*v**4 + 0*v**y - 4*v**2 + 1/90*v**5. Factor i(j).
2*j*(j - 3)/3
Let m(t) be the first derivative of 2/5*t + 1/20*t**4 - 3/10*t**2 + 0*t**3 + 33. Factor m(j).
(j - 1)**2*(j + 2)/5
Factor 239*b**2 + 56*b**4 + 101*b**2 + 210*b**3 + 5*b**5 - 19*b**4 + 200*b + 18*b**4.
5*b*(b + 2)**3*(b + 5)
Let d(p) be the second derivative of p**7/231 + p**6/165 - p**5/22 - p**4/66 + 8*p**3/33 - 4*p**2/11 + 59*p. Suppose d(j) = 0. What is j?
-2, 1
Let n(y) = -12*y**3 - 8*y**2 + 108*y + 80. Let c(f) = -2. Let z(j) = 4*c(j) + n(j). Solve z(u) = 0 for u.
-3, -2/3, 3
Let n(b) be the second derivative of 0 + 26*b + 0*b**3 - 1/16*b**4 + 3/8*b**2. Factor n(d).
-3*(d - 1)*(d + 1)/4
Let c(s) be the first derivative of -s**4/20 + 3*s**3 - 84*s**2/5 + 164*s/5 - 199. Factor c(m).
-(m - 41)*(m - 2)**2/5
Let o be ((-2)/(-10))/((-3)/(-15))*0/2. Solve o - 10/13*i - 2/13*i**2 = 0 for i.
-5, 0
Let u(m) = 4. Let x(b) = 5*b**2 - 240*b + 255. Let f(k) = -5*u(k) + x(k). Factor f(n).
5*(n - 47)*(n - 1)
Let l be 3/(-7) + (-54)/(-126). Let h be l/(-2 + 2 + 1). Suppose 0 + h*o - 1/5*o**3 + 1/5*o**2 = 0. What is o?
0, 1
Let f(c) be the first derivative of -c**6/360 - c**5/90 + c**4/72 + c**3/9 + 21*c**2/2 - 12. Let k(g) be the second derivative of f(g). Factor k(u).
-(u - 1)*(u + 1)*(u + 2)/3
Let o = 0 - -6. Suppose -4*j + j = -o. Solve -v**2 - 2 + j + v**4 = 0 for v.
-1, 0, 1
Let q(u) be the second derivative of 7*u**9/1080 - 3*u**8/80 + u**7/21 - u**6/45 + 11*u**4/12 - 27*u. Let f(m) be the third derivative of q(m). Factor f(o).
2*o*(o - 2)*(7*o - 2)**2
Let r(m) be the second derivative of -m**7/105 - 8*m**6/75 - 21*m**5/50 - 3*m**4/5 - 3*m + 32. Let r(u) = 0. What is u?
-3, -2, 0
Suppose d = -g - 2*d + 75, -135 = -2*g - 3*d. Let v be (-4)/14 - (-594)/21. Let -52*b**3 + 4 - 5*b + v*b**4 + g*b**2 - 12 + b - 24*b**3 = 0. Calculate b.
-2/7, 1
Let k be 1*4737/(-21) + 8/14. Let b = 2477/11 + k. Factor -b*u**4 + 0 + 0*u**2 + 0*u + 0*u**3 + 2/11*u**5.
2*u**4*(u - 1)/11
Suppose -5*a - 310 = 2*m - 4*m, -m - 5*a = -125. Let i = -143 + m. Determine s, given that 0 - 2/9*s**3 + 4/9*s**i - 2/9*s = 0.
0, 1
Let g = -4662 + 4668. Factor g*c**2 + 0 + 0*c - 21/2*c**4 + 18*c**3.
-3*c**2*(c - 2)*(7*c + 2)/2
Let p(g) be the first derivative of g**5/30 + g**4/4 + 2*g**3/3 + 8*g**2 + 5. Let x(l) be the second derivative of p(l). Factor x(z).
2*(z + 1)*(z + 2)
Let n(o) be the second derivative of o**7/90 - 2*o**6/45 + o**5/30 + o**4/9 - 13*o**3/6 - 16*o. Let x(v) be the second derivative of n(v). Factor x(a).
4*(a - 1)**2*(7*a + 2)/3
Let -3/4*p**4 - 15*p + 15*p**3 + 57/4 - 27/2*p**2 = 0. Calculate p.
-1, 1, 19
Let x(g) be the third derivative of g**6/280 + 3*g**5/140 + g**4/28 - 460*g**2. Factor x(j).
3*j*(j + 1)*(j + 2)/7
Let l be ((-2)/(-2) - 0) + -1. Let s = -24799 - -24803. Suppose 0*m**2 + 6/7*m**s + l*m**3 + 0*m + 0 - 3/7*m**5 = 0. Calculate m.
0, 2
Let c(y) be the second derivative of -10*y**7/21 - 2*y**6/15 + 5*y**5 + 5*y**4/3 - 40*y**3/3 - 8*y**2 + 206*y. Let c(o) = 0. Calculate o.
-2, -1, -1/5, 1, 2
Let -33/2*k**2 - 9*k + 6 + 15/4*k**4 + 9/4*k**3 = 0. What is k?
-2, -1, 2/5, 2
Suppose -31*x = -29*x - 64. Let r be x/10 + 4/(-20). Factor -5*k + 2*k**2 - r*k + 32 - 26.
2*(k - 3)*(k - 1)
Suppose 0 = 2*v + g - 3, -3*g = v - 3 + 4. Suppose q = -5*n - 25, 0*q + 2*n = v*q - 10. Let 1/2*c**3 - 1/2*c**5 + 0 + 0*c**2 + 0*c**4 + q*c = 0. Calculate c.
-1, 0, 1
Factor 0 - 10/3*k**2 - 2*k**3 - 14/9*k - 2/9*k**4.
-2*k*(k + 1)**2*(k + 7)/9
Let l(g) be the second derivative of 5*g**7/42 + 23*g**6/6 + 41*g**5/2 + 295*g**4/6 + 385*g**3/6 + 95*g**2/2 - g + 113. Let l(p) = 0. Calculate p.
-19, -1
Let w be 15/(-9 - -10 - 1/(-2)). Let l = w - 10. Factor -2/11*c**4 + 0*c + 0*c**2 + l - 4/11*c**3.
-2*c**3*(c + 2)/11
Factor -2/7*i**2 + 2/7 + 2/7*i - 2/7*i**3.
-2*(i - 1)*(i + 1)**2/7
Let j(n) be the third derivative of n**6/60 + n**5/15 - 5*n**4/12 - 2*n**3 - 3*n**2 - 33*n. Let j(c) = 0. What is c?
-3, -1, 2
What is t in -1369/5 - 72/5*t**3 - 1/5*t**4 - 1222/5*t**2 + 2664/5*t = 0?
-37, 1
Factor 0 + 1/3*l**4 - 11/3*l**3 - 40/3*l**2 - 28/3*l.
l*(l - 14)*(l + 1)*(l + 2)/3
Let y = 26 + -26. Let r be ((-4)/1 + -2)*(-17)/357. Suppose y*c**2 - r*c**3 + 0*c + 0 = 0. Calculate c.
0
Suppose 2*o = -2*b + 14, 0 = 4*o - b + 2*b - 31. Factor 4*y**4 - o*y**2 + 8 - 2 - 2.
4*(y - 1)**2*(y + 1)**2
Let c be 12/5 + (4/10)/(-1). Factor -7*h - 7*h + 2*h**2 - 12 - 4*h**c.
-2*(h + 1)*(h + 6)
Let g(d) be the first derivative of d**3/9 - 20*d**2/3 + 400*d/3 + 5. Factor g(n).
(n - 20)**2/3
Let x(f) be the third derivative of f**8/33600 + f**7/4200 - 3*f**5/10 - 8*f**2. Let j(u) be the third derivative of x(u). Factor j(r).
3*r*(r + 2)/5
Let x(v) = -v**3 + 25*v + 45. Let d be x(-2). Let p(b) be the first derivative of -9/20*b**4 + 0*b**2 - 4 - 12/25*b**5 + 0*b + 1/5*b**d. Factor p(w).
-3*w**2*(w + 1)*(4*w - 1)/5
Let i be ((-2)/6 + 1)/(1768/(-51) + 35). Factor 0 + 6*a - 3/2*a**4 + 15/2*a**3 - 12*a**i.
-3*a*(a - 2)**2*(a - 1)/2
Let r(a) be the second derivative of 1/6*a**4 + a**2 + 8*a + 0 - 2/3*a**3. Factor r(w).
2*(w - 1)**2
Let b = -1/63 - -271/63. Let l = -5427 - -37992/7. Find m such that 15/7*m**4 + 15/7*m + 3/7 + 30/7*m**2 + l*m**5 + b*m**3 = 0.
-1
Let w be (-9)/(-6) - ((-22)/20 + (-4 - -6)). Factor -48/5 - 27/5*y**4 - 168/5*y**2 - 144/5*y - w*y**5 - 96/5*y**3.
-3*(y + 1)*(y + 2)**4/5
Let o(a) = -2*a**2 - a - 3. Let p(d) = -7*d**2 + 3*d - 7. Let m(c) = -10*c**2 + 4*c - 10. Let q(t) = -5*m(t) + 7*p(t). Let g(s) = -o(s) - 3*q(s). Factor g(b).
-b*(b + 2)
Let f(v) be the second derivative of -v**6/6 - v**5/4 + 15*v**4/4 - 55*v**3/6 + 10*v**2 - 89*v. Solve f(p) = 0.
-4, 1
Let o(b) be the third derivative of b**6/200 + 79*b**5/100 + 38*b**4 - 160*b**3 - 7*b**2 + 13*b. Factor o(r).
3*(r - 1)*(r + 40)**2/5
Let q = 1603/15 - 287/3. Let w = q - 11. Factor 0 + 0*c**2 + 0*c | {
"pile_set_name": "DM Mathematics"
} |
nominator of 139/594 and -125/11484.
34452
What is the smallest common multiple of 650 and 7995?
79950
Calculate the lowest common multiple of 742 and 714.
37842
What is the common denominator of 5/28328 and -47/216?
764856
What is the least common multiple of 48012 and 528132?
528132
Calculate the smallest common multiple of 1032 and 37.
38184
What is the lowest common multiple of 4264 and 984?
12792
Calculate the least common multiple of 26364 and 6591.
26364
Calculate the common denominator of 82/2871 and -17/94578.
8228286
What is the common denominator of 83/15 and 139/241386?
1206930
What is the lowest common multiple of 73424 and 452?
8296912
What is the common denominator of 13/145512 and 107/10?
727560
What is the common denominator of 13/89594 and -19/1657489?
3314978
Calculate the common denominator of 91/432 and 38/63.
3024
What is the least common multiple of 91 and 27125?
352625
Calculate the smallest common multiple of 1926 and 2889.
5778
Calculate the lowest common multiple of 7294 and 20840.
145880
What is the common denominator of 51/302 and 52/24915?
49830
What is the lowest common multiple of 13536 and 13248?
622656
What is the smallest common multiple of 68 and 214?
7276
Calculate the smallest common multiple of 107371 and 11.
107371
Calculate the lowest common multiple of 5720 and 400.
57200
Calculate the lowest common multiple of 26613 and 44355.
133065
Calculate the lowest common multiple of 100 and 5252.
131300
Find the common denominator of -25/6496 and -71/24360.
97440
Calculate the lowest common multiple of 996 and 1832.
456168
What is the smallest common multiple of 1791 and 73829?
664461
Calculate the common denominator of 65/742 and -3/59890.
419230
What is the common denominator of -127/3480 and -39/200?
17400
Calculate the smallest common multiple of 201 and 235.
47235
What is the smallest common multiple of 11592 and 7245?
57960
What is the least common multiple of 1479 and 540?
266220
Calculate the common denominator of 103/28 and -23/1119576.
7837032
What is the smallest common multiple of 507 and 60333?
60333
What is the least common multiple of 5379 and 66?
10758
Find the common denominator of -87/233206 and -85/8.
932824
What is the smallest common multiple of 1437016 and 1847592?
12933144
Find the common denominator of 12/140821 and 28/5989.
15912773
Calculate the common denominator of -11/4 and 57/95516.
95516
What is the least common multiple of 840 and 17910?
501480
Find the common denominator of 53/92752 and 15/103664.
1762288
What is the lowest common multiple of 153632 and 112?
1075424
Calculate the lowest common multiple of 2 and 103522.
103522
What is the lowest common multiple of 133 and 84189?
84189
What is the lowest common multiple of 4 and 1182213?
4728852
Calculate the lowest common multiple of 10842 and 1390.
54210
What is the common denominator of -99/4676 and 133/138276?
967932
What is the common denominator of -137/21750 and -37/25375?
152250
Calculate the lowest common multiple of 1033983 and 344661.
1033983
What is the common denominator of -31/17204 and -99/46?
17204
Find the common denominator of -13/1386 and -75/32.
22176
Calculate the smallest common multiple of 10332 and 1386.
113652
Calculate the common denominator of 53/33 and 11/2116245.
23278695
Find the common denominator of -151/751242 and -9/16.
6009936
Calculate the lowest common multiple of 460 and 7340.
168820
What is the common denominator of 41/64638 and -121/9828?
1680588
Find the common denominator of 93/92516 and 85/404.
92516
Calculate the lowest common multiple of 5966 and 2198.
41762
Calculate the common denominator of 104/82215 and 94/105.
82215
What is the common denominator of 73/4770 and -35/8586?
42930
What is the common denominator of -52/327 and -97/28122?
28122
What is the common denominator of -25/22 and -97/1373856?
1373856
Find the common denominator of -21/27616 and -121/144.
248544
What is the lowest common multiple of 97999 and 685993?
685993
Calculate the least common multiple of 16450 and 5915.
2780050
What is the common denominator of -11/7200 and 83/3300?
79200
What is the common denominator of -93/1012 and 27/3652?
83996
Calculate the least common multiple of 11216 and 236938.
1895504
Find the common denominator of 113/7590 and -19/1380.
15180
What is the common denominator of 75/364 and 25/105336?
1369368
What is the smallest common multiple of 246 and 71?
17466
What is the lowest common multiple of 14 and 12852?
12852
Calculate the least common multiple of 33 and 278028.
3058308
Calculate the lowest common multiple of 33856 and 29624.
236992
What is the common denominator of 5/6921 and -61/81?
62289
Find the common denominator of 7/36322 and -107/88.
145288
What is the common denominator of 9/3448 and -35/3448?
3448
What is the common denominator of 139/1540 and 17/126?
13860
Find the common denominator of -22/20275 and -7/270063.
6751575
Calculate the lowest common multiple of 157950 and 105300.
315900
What is the common denominator of -22/93969 and 17/27?
281907
What is the lowest common multiple of 6 and 29339?
176034
What is the least common multiple of 12220 and 282?
36660
Calculate the lowest common multiple of 54054 and 630.
270270
What is the common denominator of -67/5742 and 83/54549?
109098
What is the least common multiple of 5700 and 360?
34200
Calculate the lowest common multiple of 212 and 52152.
52152
What is the lowest common multiple of 70 and 2312?
80920
What is the lowest common multiple of 4180 and 40?
8360
Calculate the common denominator of 26/707 and 137/664580.
664580
Calculate the lowest common multiple of 3654 and 42630.
127890
Calculate the smallest common multiple of 3724 and 50540.
353780
Calculate the least common multiple of 40 and 27780.
55560
Calculate the smallest common multiple of 3367 and 12173.
158249
What is the smallest common multiple of 92406 and 107807?
646842
Calculate the lowest common multiple of 99 and 183069.
2013759
What is the smallest common multiple of 121 and 902?
9922
Calculate the common denominator of -27/88 and 89/1232.
1232
What is the common denominator of 49/272 and 163/1200?
20400
What is the lowest common multiple of 12534 and 1203?
5026134
Calculate the smallest common multiple of 2754 and 45900.
137700
Calculate the common denominator of 19/929016 and -86/3105.
4645080
What is the common denominator of -95/1836 and 76/7803?
31212
What is the least common multiple of 5390 and 799680?
8796480
What is the lowest common multiple of 392168 and 8344?
392168
What is the common denominator of -38/1707 and -40/23?
39261
Calculate the least common multiple of 12585 and 5065.
12748605
Calculate the smallest common multiple of 88 and 4706.
207064
What is the common denominator of -19/606242 and -81/728?
2424968
What is the common denominator of -82/429 and -21/13442?
40326
What is the common denominator of 4/39015 and 35/2754?
234090
Calculate the lowest common multiple of 6 and 13101.
26202
What is the common denominator of -31/160190 and -37/3735?
1441710
Find the common denominator of -23/55 and -40/247511.
1237555
Calculate the common denominator of 83/99770 and 73/1430.
1297010
Calculate the common denominator of -86/75 and 31/7865.
117975
Calculate the lowest common multiple of 33726 and 272874.
3001614
What is the lowest common multiple of 7511 and 15?
112665
Calculate the least common multiple of 443584 and 20.
2217920
What is the smallest common multiple of 624476 and 4?
624476
What is the smallest common multiple of 200 and 20475?
163800
What is the common denominator of 13/176 and -23/88?
176
Find the common denominator of 17/12 and -161/50286.
100572
Calculate the lowest common multiple of 11350 and 100.
22700
What is the least common multiple of 3198 and 13?
3198
Find the common denominator of -101/415760 and 85/8.
415760
What is the smallest common multiple of 6842 and 65310?
718410
Calculate the smallest common multiple of 13520 and 20.
13520
Find the common denominator of 151/168 and 167/870.
24360
What is the lowest common multiple of 284245 and 117?
2558205
Calculate the common denominator of 117/98 and -3/28714.
28714
What is the common denominator of 37/5281 and -13/15843?
15843
What is the common denominator of 85 | {
"pile_set_name": "DM Mathematics"
} |
M?
12:45 AM
What is 235 minutes after 12:22 AM?
4:17 AM
What is 141 minutes before 8:08 AM?
5:47 AM
How many minutes are there between 9:37 AM and 4:35 PM?
418
What is 171 minutes after 10:56 AM?
1:47 PM
How many minutes are there between 8:26 AM and 2:37 PM?
371
How many minutes are there between 8:17 PM and 6:24 AM?
607
What is 480 minutes after 12:47 AM?
8:47 AM
What is 354 minutes after 12:26 PM?
6:20 PM
How many minutes are there between 4:43 PM and 6:58 PM?
135
What is 402 minutes before 5:24 PM?
10:42 AM
How many minutes are there between 10:38 AM and 3:33 PM?
295
How many minutes are there between 4:44 AM and 8:35 AM?
231
How many minutes are there between 8:42 PM and 1:25 AM?
283
What is 692 minutes before 7:51 PM?
8:19 AM
What is 88 minutes before 10:06 AM?
8:38 AM
What is 644 minutes after 9:41 PM?
8:25 AM
What is 655 minutes before 6:04 PM?
7:09 AM
What is 49 minutes before 6:13 AM?
5:24 AM
How many minutes are there between 2:09 PM and 5:38 PM?
209
How many minutes are there between 7:09 AM and 11:46 AM?
277
How many minutes are there between 10:48 AM and 9:50 PM?
662
How many minutes are there between 8:32 PM and 9:13 PM?
41
What is 12 minutes before 2:30 PM?
2:18 PM
What is 170 minutes after 2:11 AM?
5:01 AM
How many minutes are there between 10:56 PM and 5:27 AM?
391
How many minutes are there between 4:15 PM and 12:17 AM?
482
How many minutes are there between 7:30 AM and 4:29 PM?
539
How many minutes are there between 12:25 AM and 9:15 AM?
530
What is 702 minutes before 2:43 AM?
3:01 PM
How many minutes are there between 9:02 AM and 3:46 PM?
404
What is 209 minutes after 6:34 AM?
10:03 AM
How many minutes are there between 12:06 AM and 2:40 AM?
154
How many minutes are there between 12:19 AM and 3:12 AM?
173
What is 202 minutes after 9:25 PM?
12:47 AM
How many minutes are there between 7:07 PM and 1:20 AM?
373
What is 463 minutes after 12:38 AM?
8:21 AM
How many minutes are there between 6:29 PM and 7:05 PM?
36
What is 283 minutes before 4:40 PM?
11:57 AM
What is 456 minutes after 8:17 AM?
3:53 PM
How many minutes are there between 4:52 PM and 6:28 PM?
96
What is 612 minutes after 7:42 AM?
5:54 PM
What is 573 minutes before 2:30 PM?
4:57 AM
How many minutes are there between 3:43 PM and 10:46 PM?
423
What is 304 minutes before 12:51 AM?
7:47 PM
What is 592 minutes after 3:25 PM?
1:17 AM
What is 235 minutes after 4:14 PM?
8:09 PM
What is 504 minutes after 10:40 PM?
7:04 AM
How many minutes are there between 11:04 AM and 10:05 PM?
661
What is 631 minutes before 3:31 PM?
5:00 AM
What is 576 minutes before 6:11 PM?
8:35 AM
How many minutes are there between 6:58 PM and 5:32 AM?
634
What is 52 minutes after 5:24 AM?
6:16 AM
How many minutes are there between 1:22 AM and 11:47 AM?
625
What is 709 minutes before 10:02 AM?
10:13 PM
How many minutes are there between 10:22 AM and 12:43 PM?
141
How many minutes are there between 1:27 PM and 11:50 PM?
623
How many minutes are there between 7:54 AM and 3:30 PM?
456
What is 172 minutes after 1:19 AM?
4:11 AM
How many minutes are there between 9:56 AM and 6:41 PM?
525
How many minutes are there between 7:30 AM and 6:37 PM?
667
What is 630 minutes after 3:40 AM?
2:10 PM
How many minutes are there between 10:47 AM and 6:49 PM?
482
What is 318 minutes before 10:09 AM?
4:51 AM
How many minutes are there between 12:24 AM and 8:32 AM?
488
How many minutes are there between 12:35 PM and 11:56 PM?
681
How many minutes are there between 5:11 AM and 6:49 AM?
98
How many minutes are there between 2:48 PM and 6:51 PM?
243
What is 249 minutes after 10:41 AM?
2:50 PM
How many minutes are there between 10:41 PM and 5:49 AM?
428
How many minutes are there between 6:09 PM and 8:19 PM?
130
What is 582 minutes after 10:44 AM?
8:26 PM
What is 170 minutes before 7:04 PM?
4:14 PM
How many minutes are there between 4:18 PM and 3:39 AM?
681
How many minutes are there between 9:22 AM and 8:52 PM?
690
What is 706 minutes before 5:03 PM?
5:17 AM
What is 709 minutes after 9:51 PM?
9:40 AM
What is 265 minutes after 9:26 AM?
1:51 PM
How many minutes are there between 10:35 PM and 1:59 AM?
204
How many minutes are there between 6:55 AM and 6:23 PM?
688
What is 296 minutes before 4:07 AM?
11:11 PM
How many minutes are there between 7:32 AM and 5:39 PM?
607
What is 62 minutes before 8:13 AM?
7:11 AM
How many minutes are there between 10:13 PM and 1:36 AM?
203
What is 703 minutes after 4:27 AM?
4:10 PM
How many minutes are there between 10:06 AM and 9:51 PM?
705
How many minutes are there between 12:33 PM and 9:17 PM?
524
How many minutes are there between 3:37 AM and 5:40 AM?
123
How many minutes are there between 2:35 AM and 3:08 AM?
33
What is 91 minutes after 4:32 AM?
6:03 AM
How many minutes are there between 7:55 PM and 7:42 AM?
707
How many minutes are there between 7:29 PM and 6:46 AM?
677
How many minutes are there between 3:02 PM and 11:13 PM?
491
What is 627 minutes before 5:22 AM?
6:55 PM
What is 581 minutes before 11:33 AM?
1:52 AM
What is 317 minutes after 9:02 AM?
2:19 PM
What is 305 minutes before 9:31 PM?
4:26 PM
How many minutes are there between 8:40 AM and 6:13 PM?
573
How many minutes are there between 10:30 PM and 8:48 AM?
618
How many minutes are there between 8:54 AM and 3:20 PM?
386
What is 399 minutes after 11:48 PM?
6:27 AM
What is 202 minutes before 12:07 PM?
8:45 AM
How many minutes are there between 11:41 PM and 5:05 AM?
324
What is 552 minutes before 12:43 PM?
3:31 AM
How many minutes are there between 11:43 PM and 8:28 AM?
525
What is 40 minutes before 12:31 AM?
11:51 PM
What is 687 minutes after 11:43 AM?
11:10 PM
What is 528 minutes before 4:11 AM?
7:23 PM
What is 628 minutes before 2:39 AM?
4:11 PM
How many minutes are there between 7:23 PM and 11:32 PM?
249
How many minutes are there between 12:15 PM and 9:58 PM?
583
What is 292 minutes after 10:20 PM?
3:12 AM
What is 191 minutes before 8:53 PM?
5:42 PM
What is 265 minutes after 3:01 PM?
7:26 PM
How many minutes are there between 3:17 PM and 1:14 AM?
597
How many minutes are there between 12:57 AM and 7:38 AM?
401
What is 149 minutes before 10:22 AM?
7:53 AM
How many minutes are there between 5:09 AM and 12:52 PM?
463
How many minutes are there between 4:42 AM and 7:14 AM?
152
What is 171 minutes before 7:26 PM?
4:35 PM
What is 309 minutes after 3:02 AM?
8:11 AM
What is 636 minutes before 4:08 PM?
5:32 AM
How many minutes are there between 3:15 PM and 2:55 AM?
700
What is 595 minutes before 8:15 PM?
10:20 AM
How many minutes are there between 12:28 PM and 5:55 PM?
327
How many minutes are there between 7:30 PM and 3:09 AM?
459
What is 33 minutes after 1:27 AM?
2:00 AM
How many minutes are there between 9:55 AM and 5:21 PM?
446
How many minutes are there between 1:26 AM and 12:48 PM?
682
What is 20 minutes before 5:08 AM?
4:48 AM
What is 317 minutes after 4:15 PM?
9:32 PM
What is 685 minutes after 5:55 AM?
5:20 PM
What is 53 minutes after 8:46 AM?
9:39 AM
How many minutes are there between 1:32 PM and 12:50 AM?
678
What is 111 minutes before 2:32 AM?
12:41 AM
What is 584 minutes before 6:40 PM?
8:56 AM
How many minutes are there between 6:25 AM and 10:28 AM?
243
What is 552 minutes after 8:15 AM?
5:27 PM
What is 680 minutes after 6:33 PM?
5:53 AM
What is 708 minutes after 4:13 PM?
4:01 AM
How many minutes are there between 2:36 PM and 3:28 PM?
52
What is 76 minutes before 10:32 AM?
9:16 AM
What is 404 minutes after 3:15 AM?
9:59 AM
What is 91 minutes after 4:40 AM?
6:11 AM
How many minutes are there between 2:55 AM and 7:51 AM?
296
What is 448 minutes before 1:36 AM?
6:08 PM
How many minutes are there between 5:56 AM and 3:51 PM?
595
What is 9 minutes before 11:55 PM?
11:46 PM
What is 56 minutes before 5:08 AM?
4:12 AM
What is 646 minutes before 5:18 PM?
6:32 AM
What is 387 minutes after 1:38 PM?
8:05 PM
What is 152 minutes before 10:38 PM?
8:06 PM
What is 508 minutes before 10:54 PM?
2:26 PM
What is 458 minutes before 6:59 PM?
11:21 AM
How many minutes are there between 9:26 PM and 6:54 AM?
568
What is 292 minutes before 8:36 PM?
3:44 PM
How many minutes are there between 8:28 AM and 2:39 PM?
371
How many minutes are there between 5:21 PM and 1:04 AM?
463
How many minutes are there between 11:25 AM and 9:59 PM?
634
What is 240 minut | {
"pile_set_name": "DM Mathematics"
} |
*(-6*1*sqrt(153) + 1 + 4)*5*4)**2.
-288000*sqrt(17) + 8852800
Simplify ((sqrt(119) - sqrt(119)*5)*-4 + sqrt(119)*3*2)/(sqrt(7)*2*4 - sqrt(77)/(sqrt(110)/sqrt(10))).
22*sqrt(17)/7
Simplify 2 + (sqrt(637) + sqrt(637)*-1)*-2 + sqrt(637) + 5 + 5 + -3.
9 + 7*sqrt(13)
Simplify 0 + (5*4*(-1*(sqrt(260)/sqrt(10))/sqrt(2) - (4 + (sqrt(13) - (sqrt(13) + sqrt(13) + sqrt(13)*-1 + 3)))))**2.
800*sqrt(13) + 5600
Simplify -5 + ((sqrt(480) - (sqrt(480) + sqrt(480) + sqrt(480)*3))*-3*2)/(3*(sqrt(54)*3 + sqrt(54))/sqrt(9)*-3).
-8*sqrt(5)/3 - 5
Simplify ((-1*1*sqrt(5)*4 - (sqrt(5) + -6*(-2 + sqrt(5)) + -1*sqrt(320)))**2 + 5)*6.
-1296*sqrt(5) + 3324
Simplify (-3 + (sqrt(72) + 1)*1 + (sqrt(72) + -1)*-3 + -4 + -2)**2.
120*sqrt(2) + 313
Simplify -3 + 3 + -3 + (-3*(sqrt(200) + -1*sqrt(200) + sqrt(200)))/(sqrt(4) + -6*(sqrt(4) - sqrt(4)*-2)).
-3 + 15*sqrt(2)/17
Simplify 3*((3*sqrt(550)*-1 - sqrt(550))/(-4*(sqrt(128) - (-1*sqrt(128) - sqrt(128))))*1)**2.
275/192
Simplify 3 + -1 + ((sqrt(315)*-3)/((sqrt(125) - 1*sqrt(125) - sqrt(125) - sqrt(125) - sqrt(5)) + sqrt(5) + sqrt(5)))**2 + 2 + -4.
7
Simplify -1 + ((sqrt(275) + (sqrt(275) - (2 + sqrt(275) + 3*sqrt(275))) - -1*-1*sqrt(275))*5*2)**2.
6000*sqrt(11) + 247899
Simplify 3 + 4*(-4 + 3 + sqrt(275) - (sqrt(275) + (sqrt(275) - (sqrt(275) + 2)**2) + 4)) + -3 + 3.
60*sqrt(11) + 1099
Simplify ((sqrt(42)/(sqrt(12)/sqrt(2)))**2 - (sqrt(7) - 1*sqrt(14)/sqrt(2))) + 4 + ((1 + sqrt(7) + -4)*-5*3)**2 + -2.
-1350*sqrt(7) + 3609
Simplify ((sqrt(147)*1 + sqrt(147))*2 + -2*(sqrt(147) + sqrt(147) + sqrt(147)*1) - (6*(sqrt(33) - (sqrt(528) - sqrt(33))))/(sqrt(44)*1))**2.
192
Simplify (5 + -4 + sqrt(567) + 1 - (1 + sqrt(567) + -4 - sqrt(567) - (2*sqrt(567) + 1)))**2*-4.
-20556 - 1296*sqrt(7)
Simplify ((-5*sqrt(84) + sqrt(84))/sqrt(3) - 5*sqrt(28)*-4)/((-1*sqrt(2352))/((sqrt(300) + sqrt(12))*2)).
-192*sqrt(7)/7
Simplify -2*(((sqrt(216) - sqrt(216)*2)*-2 - sqrt(216))*5)/(2*sqrt(128)*2)*-5.
75*sqrt(3)/8
Simplify (sqrt(384)/((sqrt(8) - -3*sqrt(8)*1) + sqrt(8)) - (5 + (sqrt(3) - 2*sqrt(3)) + -1 + -5))**2.
18*sqrt(3)/5 + 268/25
Simplify -3 + (5*-1*(sqrt(77) - 3*sqrt(77)))/(sqrt(14)/((-1*sqrt(16))/sqrt(8))).
-10*sqrt(11) - 3
Simplify -2*(5 + (-1 + 1*sqrt(1584) - sqrt(1584))**2 + (2*sqrt(880))/(sqrt(60)/sqrt(3) + sqrt(5))).
-16*sqrt(11)/3 - 12
Simplify (sqrt(3888) - sqrt(3888)*2)/(4*sqrt(225) - sqrt(9)) - -6*((sqrt(12) + sqrt(3) - sqrt(3))**2 + 2 + -2*sqrt(48)).
-924*sqrt(3)/19 + 84
Simplify 5 + ((sqrt(704) + 3)*1 + ((-1 + sqrt(704))*-6 - sqrt(704)) - (5*(sqrt(704) + -2) + -4 + sqrt(704) + 1))**2.
-4224*sqrt(11) + 101865
Simplify (2*-4*sqrt(275) + 3 + 3 + sqrt(275))**2 - (0 + 3 + (6*sqrt(99))**2 + -2).
-420*sqrt(11) + 9946
Simplify 5 + -5*(sqrt(14)/(sqrt(21)/sqrt(3) + sqrt(7)))**2*-4 + (sqrt(2) + 0 + 4 - (sqrt(16)/sqrt(4))/sqrt(2)) + -2.
17
Simplify (4 + -3 + -4 + ((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 1))*-2 + -2 + -5)*3)**2.
-2592*sqrt(7) + 36612
Simplify (((-1*(sqrt(495) + sqrt(495)*2))/(sqrt(99)*-3))/(6*((sqrt(441)*2 - sqrt(441)) + sqrt(441) - sqrt(441))*2))**2.
5/63504
Simplify ((sqrt(4)*1*3)/(sqrt(150)/sqrt(3) + sqrt(2)) + sqrt(8)/(sqrt(4) + sqrt(64)*-1)*5)**2.
49/18
Simplify (sqrt(65)*-3*3 - sqrt(65) - (sqrt(65) - (-2*sqrt(65) + sqrt(65) - sqrt(65)))*1)/(1*((sqrt(605) - sqrt(605)*2)*6 - sqrt(605)))*-4.
-52*sqrt(13)/77
Simplify -6*((-2*sqrt(1008) + 3)*3)**2 - (3 + (sqrt(567) - 1*2*sqrt(567))**2 + 2).
-218786 + 7776*sqrt(7)
Simplify ((sqrt(264) - (sqrt(264) + sqrt(264) + sqrt(264) + sqrt(264)*2)*-3)/(sqrt(108)/(sqrt(27)/sqrt(3))))/(sqrt(800) - sqrt(800)*-2 - sqrt(450)*3).
16*sqrt(11)/15
Simplify ((-5 + sqrt(171) + 4*sqrt(171) + 4 + 2 + 3 + sqrt(171) + 2)*-3)**2.
1944*sqrt(19) + 55728
Simplify 3*(sqrt(192)*1 + 4*sqrt(9)/sqrt(3) + sqrt(3) - (-1*(-5 + (sqrt(243) - 1*sqrt(243))))**2).
-75 + 39*sqrt(3)
Simplify (-3 + -5 + ((sqrt(132) + (3*(sqrt(132) - (2*sqrt(132) - sqrt(132))) - sqrt(132)))*4)/(sqrt(972) - (3*sqrt(972) + sqrt(972))*-2))**2.
64
Simplify (0 + 4*(-5 + (2 + sqrt(200) + sqrt(200))*2) + -1*(sqrt(200) + -1 + 0 + sqrt(200))*-4)**2.
-3840*sqrt(2) + 115264
Simplify (1*(sqrt(500) + sqrt(500)*3) + sqrt(500)*-3*1)/((sqrt(490) - (sqrt(490) - 5*sqrt(490)))*-5).
-sqrt(2)/35
Simplify ((sqrt(18) - (sqrt(72) - sqrt(18)))*-5)/((sqrt(66)*-2)/sqrt(11)) + (-1 + -3*sqrt(147)*-4)**2.
-168*sqrt(3) + 21169
Simplify (1*(4*sqrt(539) + sqrt(539)) - (sqrt(539)*1 + 0 + sqrt(539)) - (-5 + (sqrt(539) - 2*sqrt(539)*-2) + 0))**2.
-140*sqrt(11) + 2181
Simplify 4 + -6*((-4*sqrt(13) + 5 - sqrt(26)/sqrt(2)*-6) + sqrt(1872) + (1*sqrt(637) - sqrt(637)))**2.
-15434 - 840*sqrt(13)
Simplify -3 + 4 + -2*(-3 + (sqrt(128)*-2 - sqrt(128) - sqrt(128))*-5*-6).
7 + 1920*sqrt(2)
Simplify (4*3*(sqrt(90) + (3*sqrt(90) - sqrt(90)) + sqrt(90)))/(-3*(sqrt(720) + (sqrt(720)*3 - sqrt(720))) - sqrt(720)).
-6*sqrt(2)/5
Simplify -3 + 1*sqrt(1100) - (sqrt(1100) + (-1 + -1*sqrt(1100))**2 + sqrt(1100)) - 2*(sqrt(66) - 4*(1*sqrt(66) + sqrt(66) - sqrt(66)))/sqrt(6).
-1104 - 24*sqrt(11)
Simplify (5 + (0 + (sqrt(1900) - (-1 + sqrt(1900))) + -2*sqrt(1900) + 5)**2 + 1 + -2)*-2.
-15280 + 480*sqrt(19)
Simplify 0 + ((-5 + (6*(-2 + sqrt(162) - sqrt(162)) - (sqrt(162) + -2 + 2)) + 2)**2 + 4)*-2.
-782 - 540*sqrt(2)
Simplify (-5 + (-1 + sqrt(3564) - sqrt(3564)))**2 - -6*(2 + sqrt(1584) + sqrt(1584) + sqrt(11) + 4).
72 + 150*sqrt(11)
Simplify (2 + -3 + sqrt(187)/(3*sqrt(44)) + -3*sqrt(85)/sqrt(5) + (sqrt(17) + 2)*-4)**2 + -3.
123*sqrt(17) + 31385/36
Simplify ((sqrt(242) + sqrt(242) + sqrt(242)*2)/sqrt(11) + sqrt(22) + sqrt(1782)*1)/(sqrt(176)*1 + sqrt(176) - (1*sqrt(22) + sqrt(22))/sqrt(2)) + 5.
7*sqrt(2)/3 + 5
Simplify 1 + ((sqrt(120) + sqrt(120)*2)*2 + sqrt(120) + (sqrt(120) - (sqrt(120) - (sqrt(120) + 2*sqrt(120))))*-6)/(sqrt(20)/sqrt(2)*-5*4) + -3.
-2 + 11*sqrt(3)/10
Simplify 5*(-3*sqrt(110)*-1*6)/(sqrt(50)/(sqrt(45)/(sqrt(9) + sqrt(324)))).
90*sqrt(11)/7
Simplify (4*1*sqrt(1539) + -4*(sqrt(1539) + 0) + 3*(sqrt(1539) + -3*-4*sqrt(1539)) + -4)**2 + -1.
-2808*sqrt(19) + 2340834
Simplify (1 + ((sqrt(5472) + (sqrt(5472) - 2*sqrt(5472)))/sqrt(2) + -1 - (5*(sqrt(1900) + -1) + 0)))**2.
-500*sqrt(19) + 47525
Simplify (-3*sqrt(156)*-2 + (sqrt(156)*-2*6 - sqrt(156)))/(-6*((sqrt(12) + sqrt(36)/sqrt(3))*3 - sqrt(12) - (sqrt(12) + -2*sqrt(192)))).
7*sqrt(13)/72
Simplify (sqrt(5) + -1 + sqrt(5) + 3 + -4*sqrt(125))**2 - 2*sqrt(40)/(sqrt(1152)*-3).
-1295*sqrt(5)/18 + 1624
Simplify (-2*(sqrt(9072)*2 + sqrt(9072)))/((sqrt(540)/(sqrt(12)*-2))/sqrt(5)).
144*sqrt(7)
Simplify -5*-5*(0 + ((1 + sqrt(833) + 5)**2 - (3 + sqrt(425) + 0))).
1975*sqrt(17) + 21650
Simplify ((sqrt(68)*1)/sqrt(4) - (sqrt(17) + 0)*-4)*-3*-4 - -4*(-3 + sqrt(17) + sqrt(425)*2 + 4).
4 + 104*sqrt(17)
Simplify ((-1*sqrt(105)*-5)/(sqrt(7) - (-2*sqrt(252) + sqrt(252))))/(-2*sqrt(147) + (sqrt(3) - sqrt(147))*2).
-5*sqrt(5)/182
Simplify (5*1*sqrt(60)*-1)/(-1*sqrt(1200)*2) + 0.
sqrt(5)/4
Simplify 5*((6*(sqrt(133) - 5*sqrt(133))*3)/(((sqrt(567) + sqrt(567)*4)*6 - sqrt(567)) + sqrt(567) - sqrt(567) - sqrt(567))*3)**2.
3420/49
Simplify (sqrt(119) + (sqrt(119) + sqrt(119)*2)*6 + -2*sqrt(119)*2 + sqrt(119))/((sqrt(7) - sqrt(21)/sqrt(3) - sqrt(7))*-1 - sqrt(7)*1*-1) + -5.
-5 + 8*sqrt(17)
Simplify (-4*sqrt(242) - 4*sqrt(6)/sqrt(3) - (sqrt(2880)*2)/(sqrt(1440) + (sqrt(1440)*-2 - sqrt(1440))))**2.
4418
Simplify 4*((-1*(sqrt(99) + 1 - sqrt(99)))**2 + -3 + ((1*sqrt(176) - sqrt(176))/sqrt(4))/(-2*sqrt(4)*6)).
-8
Simplify 0 + ((sqrt(99) + -3*(sqrt(99) - (sqrt(99) - sqrt(99)*-2)) + sqrt(99))/(-1*sqrt(1089)) - ((sqrt(176) - (5 + sqrt(176)*1)) + 3)).
-8*sqrt(11)/11 + 2
Simplify (2*((1 + 0 + sqrt(832) + 0)*-1 - 3*(sqrt(832)*-2 + 3)*-1))**2.
-3584*sqrt(13) + 163328
Simplify (-5*sqrt(252)*2*4 + (((sqrt(175) - sqrt(7)) + 0)**2 - 5*(sqrt(112) - sqrt(7))**2))*4.
-960*sqrt(7) - 812
Simplify -2*(-3*((sqrt(833) - (sqrt(833)*-2)**2)*-5 + (sqrt(833) - (2*(sqrt(833) + 1 + sqrt(833)))**2)) + -5).
-840*sqrt(17) + 19978
Simplify (sqrt(540)/sqrt(490) + sqrt(54))/((sqrt(242) - (sqrt(242) + sqrt(242)*-4))*-2).
-3*sqrt(3)/77
Simplify (-4*(sqrt(550) + -1*sqrt(550) - sqrt(550) - sqrt(550))*-2)/((sqrt(84)/(sqrt(96) + sqrt(6)))/sqrt(7)*-6).
200*sqrt(11)/3
Simplify (-4*3*(sqrt(133)*-4 + sqrt(133))*-5)/(sqrt(7) - (sqrt(7) - 2*(sqrt(7) + sqrt(567))) - 2*sqrt(35)/sqrt(5)).
-10*sqrt(19)
Simplify (- | {
"pile_set_name": "DM Mathematics"
} |
- 7. What is the closest to 0 in z, -1, -1/11?
-1/11
Suppose h - 2*q - 34 = -2*h, -4*h + 50 = -5*q. Suppose 5*p + 0 = h. Suppose -p*o + 4 = -0. Which is the closest to 1? (a) o (b) 4 (c) 1/4
c
Let y = 401 - 399. Let q(o) = o**3 + 3*o**2 + 2*o + 3. Let b be q(-2). What is the nearest to y in -2/5, b, 4?
b
Let p = 0.1 - -0.9. Let h = -4 + p. Let f = h + 3.1. Which is the nearest to f? (a) -3/2 (b) 5 (c) -1/10
c
Let j = -5 - -6. Let n = -3 - j. Which is the closest to 0.2? (a) n (b) 2/11 (c) -5
b
Let j = -1.44 - -1.4. Let k = -0.06 + j. What is the closest to 0.1 in 2, -2, k?
k
Let z(d) = 14*d**2 + 2*d + 1. Let m be z(-1). Let o = -13 + m. What is the closest to -1 in -2/5, -3, o?
-2/5
Let j = -2 - -2.1. Let k(c) = -c**2 - 2*c + 2. Let y be k(5). Let g be (2 - -1)*(-2)/y. What is the closest to j in g, 0.2, 0.1?
0.1
Let r = -0.6 - -0.9. Which is the closest to 0? (a) -1 (b) 2 (c) r
c
Let s be 3/((-4)/((-8)/(-21))). Let j = 0.61 + -0.11. Which is the nearest to -1? (a) s (b) 4 (c) j
a
Let d = -0.1 + 0. Let k = 1.5 - 2. Let j = 19 - 20. Which is the nearest to d? (a) j (b) -0.2 (c) k
b
Let h = 1.83 - 0.83. Which is the nearest to h? (a) -0.4 (b) 1/10 (c) 2
b
Let u = 0.13 - 0.13. Let x = 77 + -233/3. What is the closest to u in 3/7, -0.2, x?
-0.2
Suppose 0*q + q = -30. Let m be 80/q*(-2)/24. What is the nearest to m in 4, 3/4, -3?
3/4
Let k = 14 - 15. What is the nearest to -2/7 in -0.2, k, -2/3?
-0.2
Let u = 0.24 - 2.94. Let j = 1 - 0.7. Let d = u - j. What is the nearest to 0.2 in -1/2, 5, d?
-1/2
Let j be 1/2*(-2)/9. Let g = -48 - -47.8. Which is the nearest to 0? (a) g (b) j (c) -2
b
Let m = -26.4 + 26. Which is the closest to -0.1? (a) -0.1 (b) 0.3 (c) m
a
Let b be 14/112*(1 + -3). What is the closest to 0 in -9/7, 2/9, b?
2/9
Let f = -16/13 + 71/26. What is the closest to f in -0.2, -3, -0.3?
-0.2
Let b = -20 + 20.1. What is the nearest to b in 3, 0, 2/13?
2/13
Let r = -0.5 + 0.1. Let m = -13/5 + 59/15. Let f = 0.03 + 3.97. Which is the nearest to 1? (a) f (b) m (c) r
b
Let i = 3 + -2. Let p = 2.5 + 1.5. What is the closest to 1/3 in p, -1/6, i?
-1/6
Let r be 9/((-315)/(-80)) - 2/1. Which is the closest to 1? (a) -5 (b) r (c) 1/2
c
Let m = 3.67 - 0.67. Which is the nearest to 0? (a) 1 (b) m (c) 2/17
c
Let m be 5 + (2 - (-6)/(-3)). What is the nearest to -1/4 in 2/7, m, 0?
0
Let d = -13 - -10. Which is the nearest to -2/9? (a) d (b) -2 (c) 0.5
c
Let s = -35 - -35.1. Which is the closest to s? (a) 3 (b) -2 (c) 2
c
Let q = -0.8 + 1.1. Let o(w) = 5*w**2 - 5*w - 2*w**2 - 4*w**2. Let t be o(-5). What is the closest to t in q, 2/23, -2/7?
2/23
Let j = -6 + 11. Which is the nearest to 0.2? (a) j (b) -2/5 (c) -4
b
Let l = 27 - 31. Which is the closest to 0.1? (a) -1/13 (b) l (c) -1/2
a
Let t = -53 - -53. What is the closest to -1 in t, 12, 5?
t
Let y be 8/(-12) - 14/(-30). Let r = 0.114 + -0.014. Let f = -0.2 - -0.3. What is the closest to f in 0, y, r?
r
Let t = -2/181 - 165/1448. Which is the closest to 0? (a) 1/5 (b) t (c) 3
b
Let c be (12/18)/((-20)/6). What is the nearest to 1/2 in 1, 0.2, c?
0.2
Let t = -0.874 - 0.126. Let u be 1/36 - 2/(-9). Which is the nearest to 0.2? (a) t (b) u (c) -0.5
b
Let s = 29 + -88/3. Let g = 0.1 - 0. Let r = g - 1.1. What is the nearest to 2 in s, r, 1?
1
Suppose 8*d - 4 = 4*d. Let r = -87429/11 - -7957. Let j = r + -719/77. What is the nearest to d in -1/2, j, -2?
j
Let t be 3365/(-45) + 2/(-9). Let i = t + 373/5. Which is the closest to 1? (a) -3 (b) i (c) 0.3
c
Let d(q) = -3*q + 1. Let c be d(-2). Suppose -c*y = -6*y - 4. Let s be ((-1)/y)/((-3)/(-4)). What is the closest to s in 0.3, -0.1, -5?
-0.1
Let w = 74 + -70. Which is the nearest to -2? (a) -3/2 (b) -0.2 (c) w
a
Suppose 21 = -x - 5*d, 3*d = -5*x - d. What is the closest to -2/9 in x, 0.4, -8?
0.4
Let g be 1/(2 - (-3 - -8)). What is the closest to g in 2/7, -0.3, -0.5?
-0.3
Let p be ((-3)/15)/((-2)/4). What is the nearest to p in 2, -1/5, 5?
-1/5
Let j = 14 + -15. Let i = 7 + -27/4. Let n = 0.2 - 0.3. Which is the closest to n? (a) j (b) i (c) -0.2
c
Suppose 0 = 5*n - 4*l - 9, -9 - 23 = -4*n - 3*l. Let u(t) = t**3 + 5*t**2 + 5*t - 4. Let q be u(-3). What is the nearest to q in -1/4, 1/3, n?
-1/4
Let h be (-8 - -7)*-2*1/(-6). Let u be ((-4)/(-3))/(2/6). Let x(w) = -w + 3. Let t be x(u). Which is the nearest to h? (a) -1/4 (b) t (c) 2/5
a
Let z = 2.6 + -3. Let r = -13 + 13.5. Let h be (2/(-12))/(3/12). Which is the nearest to h? (a) r (b) z (c) 6
b
Let i = 13/66 + -1/66. Let z = 0.06 + -0.46. Let q = z + -2.6. Which is the nearest to 1? (a) -2 (b) q (c) i
c
Let s be 8/6*3/1. Which is the closest to -1? (a) 2 (b) -4/7 (c) s
b
Let j be 7/(-84)*8/(-5). Let h = -0.3 + 2.3. Let g = 3 + -2.9. What is the closest to g in -0.2, h, j?
j
Let l = -4.1 + 3. Let m = 1 + l. What is the nearest to m in -1, 4, 1?
-1
Let z(c) = c**2 - 2*c + 1. Let p be z(2). Let m = -14 - -30. Let a = m + -15.5. What is the nearest to p in 5, -5, a?
a
Let y(i) = -5*i + 2. Let x be y(1). What is the closest to -0.8 in 0.4, x, 5?
0.4
Let l be (-3)/(-63) + (-3)/9. Let k = 0.5 + -2.5. Which is the closest to 2/3? (a) k (b) 2/7 (c) l
b
Let o = -0.1 - 0.2. Let p = -0.03 + -0.07. Let u be (-2)/(-2) - 12/9. Which is the closest to u? (a) o (b) p (c) -1/4
a
Let q be 2/(0 - 2)*-1. Suppose 2*p - 6*p - 12 = 0. Let f be ((-4)/(-6))/(7/p). Which is the nearest to f? (a) 0.1 (b) q (c) -3
a
Let i be 12/90 + (-1)/(-5). Which is the nearest to 0.3? (a) i (b) 0 (c) 5/4
a
Let u = 9 - 17/2. Which is the closest to 1? (a) -1 (b) -4 (c) u
c
Let v = -36 + 16. Let f = v + 19. Which is the closest to f? (a) -3 (b) -1/2 (c) 0
b
Let h be (-34)/14 + (-9 - -11). Let m = 0 + 2. Which is the nearest to m? (a) h (b) -4/9 (c) -0.1
c
Suppose 4*p = -w - 7, 3*p + 26 = 5*w - 8. Let y = -79/114 - -1/38. Which is the nearest to y? (a) 0.4 (b) w (c) -2
a
Let d = -0.12 + -4.88. Let f = -4.7 - d. What is the closest to -6 in -5, f, -2/5?
-5
Let w be 2 + (-50)/4*8. Let u = -684/7 - w. What is the nearest to u in 3, 0.3, -1/4?
0.3
Let x = -18 - -53/3. Which is the closest to x? (a) 5 (b) 0 (c) 1
b
Let h = -0.5 - -3.5. Suppose 3*g = -3*n + 12, 2*g + 3*n - 16 = -3. Which is the nearest to g? (a) 3/2 (b) h (c) -0.5
c
Suppose -4*n = -0*n + 8. Let v be 0 - (-3)/(-9)*n. Let f = -10 - -7. Which is the closest to v? (a) 0.1 (b) -4 (c) f
a
Let y(g) = -9*g**2 - 2. Let v be y(-2). Let z = -113/3 - v. Which is the nearest to z? (a) -4/3 (b) -4 (c) 0.2
c
Let a = 4.5 + -30.5. Let x = -23 - a. What is the closest to -2/7 in 0.3, -3, x?
0.3
Let l = -2 - -4/3. Let d = -0.7 + -3.3. Let u = 65 - 65.2. Which is the closest to l? (a) d (b) 0.1 (c) u
c
Let d = -8.1 + 8. Let f = 0.1 + 0.9. What is the closest to f in -5, d, 3?
d
Suppose -2*l = 20 - 0. Let s be (l/90)/(2/(-4)). Which is the nearest to 1/2? (a) 6/7 (b) -2 (c) s
c
Let b = 134/5 + -27. What is the closest to 1 in -2/5, b, 0.3?
0.3
Let j = 3.024 + -0.024. Which is the closest to 0? (a) j (b) 2 (c) -5
b
Let m = 0.9 + 1.1. Let o = -19 + 18.9. Which is the nearest to o? (a) 0 (b) -0.5 (c) m
a
Let x be (2/(-28))/((-6)/8). Let h be 3/12 + (-13)/20. Which is the closest to -2/3? (a) x (b) h (c) 0.2
b
Suppose -m + 3*m = 2. Let t = 0.12 + 0.08. Which is the nearest to t? (a) m (b) -0.4 (c) -2
b
Let n = 1.87 + 0.03. Let b = 2 - n. What is the closest to 0.1 in 0.2, -1, b?
b
Suppose 91 - 85 = 2*v. Let o = 5 - 0. Let f = -4.6 + o. What is the closest to -1 in -1/2, v, f?
-1/2
Let t = 3 - -1. Which is the nearest to 0? (a) 2 (b) -1/3 (c) t
b
Let r = -0.5 + 0.3. Let q = -3 - -2.9. What is the nearest to r in 1/7, q, 2?
q
Let q = -5.9 + 0.9. Let x = -2.85 - 0.15. Let g(p) = p**3 - p**2 - p + 2. Let d be g(2). Which is the closest to -1? (a) x (b) q (c) d
a
Let f = 144 - 147. Which is the closest to -0.1? (a) f (b) 2 (c) -1/4
c
Let c = -15.5 + 15. Let q = 0.4 + c. What is the nearest to q in 0, -1, 4?
0
Let t be (-83)/(-2) - 6/4. Suppose 4*h - t = 4*g - h, -4*g - 12 = 2*h. Let q = -0.26 + 0.06. What is the closest to q in g, -1/4, 2/5?
-1/4
Let z = 17 - 19. Which is the closest to z? (a) -2 (b) -3 (c) -0.1
a
Let q = -0.3 + -0.2. Let i be 48/(-27)*1 + 2. What is the ne | {
"pile_set_name": "DM Mathematics"
} |
*p**2 = 0 for p.
1/2, 1
Let p(g) be the first derivative of -2*g**5/35 + 19*g**4/28 - 16*g**3/7 + 11*g**2/14 + 20*g/7 - 138. Solve p(u) = 0 for u.
-1/2, 1, 4, 5
Factor 2*i**2 + 2*i**2 + 27*i + 784 + 51*i + 34*i.
4*(i + 14)**2
Let l(b) be the first derivative of 4*b**3/3 - 24*b**2 - 180*b + 65. Factor l(z).
4*(z - 15)*(z + 3)
Suppose 0 = 2*c - 6, 7*c = w + 2*c + 11. Suppose w*h - 13 = 7. Suppose 0*d**4 - 15*d**3 - 4*d + h*d**4 - d + 15*d**2 = 0. Calculate d.
0, 1
Let h(b) = 2*b**3 + b**2. Let k be h(2). Let i = k - 17. Factor 0 + 3/4*s**4 - 9/4*s**i + 3/2*s**2 + 0*s.
3*s**2*(s - 2)*(s - 1)/4
Determine i so that 14*i**4 + 17*i**4 + 11*i**3 - 5*i**5 - i**3 - 36*i**4 = 0.
-2, 0, 1
Let v(c) = 9*c**2 - c. Let g be v(1). Factor -g + 421*n**2 - 23*n - n - 431*n**2.
-2*(n + 2)*(5*n + 2)
Let d(j) = 3*j**2 - 2*j + 2. Let r(k) = 7*k**2 - 5*k + 5. Let f = 16 + -13. Let g be (-4)/2 + (0 - f). Let c(s) = g*d(s) + 2*r(s). What is l in c(l) = 0?
0
Let u(h) be the second derivative of 16/3*h**3 + 57*h - 1/5*h**5 - 7/3*h**4 + 0 + 0*h**2. Factor u(b).
-4*b*(b - 1)*(b + 8)
Let p(w) be the first derivative of 2*w**5/65 + 7*w**4/26 + 16*w**3/39 - 16*w**2/13 - 702. Factor p(d).
2*d*(d - 1)*(d + 4)**2/13
Let k(v) be the first derivative of -v**6/6 + 11*v**5/5 + 3*v**4/2 - 58*v**3/3 - 85*v**2/2 - 33*v + 322. Factor k(z).
-(z - 11)*(z - 3)*(z + 1)**3
Let k(j) be the second derivative of j**7/147 - 2*j**5/35 + j**4/21 + j**3/7 - 2*j**2/7 + 40*j - 1. Factor k(i).
2*(i - 1)**3*(i + 1)*(i + 2)/7
Factor -624/7*r**3 + 102400/7 + 23056/7*r**2 + 4/7*r**4 + 99840/7*r.
4*(r - 80)**2*(r + 2)**2/7
Let u(g) = g**2 - g + 1. Let h(z) = 10*z**2 - 77*z - 1078. Let y(d) = 2*h(d) - 22*u(d). Factor y(p).
-2*(p + 33)**2
Factor -10814*p**2 + 10913*p**2 + 5*p + 48*p**4 - 32*p - 120*p**3.
3*p*(p - 1)*(4*p - 3)**2
Let c be ((-32)/(-10))/(-102*(-13)/195). Let w(m) be the first derivative of 6/17*m**3 - 4 - 16/17*m**2 - c*m. Find t, given that w(t) = 0.
-2/9, 2
Let z be 3 - 6 - -4 - (9 + -8). Suppose 5*w = 4*i + 42, 0 = -3*w - 4*i + 9 - 3. Suppose -w + z*d + 3/2*d**2 = 0. Calculate d.
-2, 2
Let y(l) = -5*l**2 - 6*l + 7. Suppose -3*p + 8 = -4. Let b(q) = -q**2 - q + 1. Let g(m) = p*b(m) - y(m). Solve g(f) = 0.
-3, 1
Solve -55/4*n**2 - 35/4*n**3 + 45/4*n**4 + 5/2 + 35/4*n = 0.
-1, -2/9, 1
Let h(u) = -u**2 + u + 9. Let b(q) = -1 + 5 - 1 - 2. Suppose 3 = -5*y - 12. Let x(g) = y*h(g) + 21*b(g). Suppose x(d) = 0. Calculate d.
-1, 2
Let y(u) = 4*u**3 + 11 - 2*u**3 - 6*u**3 + 10*u + 4*u**2. Let h(k) = 7*k**3 - 7*k**2 - 20*k - 21. Let j(o) = 3*h(o) + 5*y(o). Determine q, given that j(q) = 0.
-2, -1, 4
Let p = 39 - 27. Let b be (-5)/12 - (-8)/p. Factor -b*t**2 + 0 + 1/2*t.
-t*(t - 2)/4
Let c(t) = 40*t**3 + 310*t**2 - 272*t + 26. Let w(n) = -n**3 - 3. Let l(j) = c(j) - 10*w(j). Solve l(m) = 0 for m.
-7, 2/5
Let y be 2 + 2 + 0*(1 - 0). Factor -6*v**2 - 2*v**3 - 16*v**y - 2*v**2 - 18*v**3 - 4*v**5.
-4*v**2*(v + 1)**2*(v + 2)
Let v = 13337/5555 + -1/1111. Let 0*g - v + 3/5*g**2 = 0. What is g?
-2, 2
Let r be 7/((-35)/33) + 7. Factor 0*b + 0*b**2 + 0 + 1/5*b**5 - r*b**3 + 1/5*b**4.
b**3*(b - 1)*(b + 2)/5
Factor -9*l**3 - 79*l**3 + 386 + 1056*l + 388*l**2 + 210 + 4*l**4 - 20.
4*(l - 12)**2*(l + 1)**2
Suppose 2*p + 2*k - 8 = 0, 4*p - 16 = 3*k + 2*k. Suppose p*w + 2 = r, 6 = 3*r - 2*w + 7*w. Suppose 7*v**r + 2*v**3 - v - 9*v**3 - 3*v**3 = 0. What is v?
0, 1/5, 1/2
Let k be (-6)/(0 - -3) + 11. Suppose 3*q - w - k = -q, -4*q + 13 = -5*w. Find x such that 1 + 3*x + q*x**2 + 2*x**2 + 1 - 3*x**2 = 0.
-2, -1
Let i(z) be the second derivative of -10*z + 1/48*z**4 + 5/12*z**3 + 25/8*z**2 + 0. Find p, given that i(p) = 0.
-5
Determine l so that -11*l**3 - 2*l**4 - 4*l**2 - 4*l + 3*l**4 + 12*l**3 = 0.
-2, -1, 0, 2
Solve 96*u**3 - 6*u**3 - 5*u**5 - 193*u**4 + 160*u**4 - 1372*u**2 + 138*u**4 - 26325*u - 30375 - 4838*u**2 = 0 for u.
-3, 15
Factor -40/7*l**3 - 2/7*l**4 - 236/7*l**2 - 360/7*l - 162/7.
-2*(l + 1)**2*(l + 9)**2/7
Let h(i) be the third derivative of 2*i**7/105 + i**6/15 - i**5/5 - 4*i**4/3 - 8*i**3/3 - 23*i**2. Determine p, given that h(p) = 0.
-2, -1, 2
Let i(t) be the second derivative of t**4/18 - 25*t**3/9 - 26*t**2/3 + 276*t. Factor i(h).
2*(h - 26)*(h + 1)/3
Let n(i) = -3*i**2 + 3*i + 8. Let w be n(-1). Suppose 2/5*f + 1/5*f**w + 1/5 = 0. Calculate f.
-1
Let h be (-8)/3 - 6/(-9). Let b be 3/(-6)*h - -6. Determine p, given that 2*p**3 + b*p**4 - 7*p**2 - p**4 + 3*p**2 = 0.
-1, 0, 2/3
Let r = -263 + 266. Let n(w) be the first derivative of 1/4*w**r - 2 + 0*w - 3/8*w**2. Let n(i) = 0. What is i?
0, 1
Let u(p) be the second derivative of 0*p**3 - 7/2*p**2 + 0 + 1/80*p**5 + 1/32*p**4 - 9*p. Let g(c) be the first derivative of u(c). Factor g(j).
3*j*(j + 1)/4
Let k(d) be the third derivative of -d**6/660 - 2*d**5/165 + d**4/12 - 2*d**3/11 - 264*d**2. Suppose k(n) = 0. What is n?
-6, 1
Solve -114/7 + 116/7*k - 2/7*k**2 = 0 for k.
1, 57
Let l(o) be the second derivative of -o**6/30 + 3*o**5/20 + 9*o**4/4 - 45*o**3/2 + 81*o**2 - 10*o - 5. Solve l(v) = 0 for v.
-6, 3
Suppose 4*u + 0*y + 2*y - 78 = 0, 2*y = u - 7. Let j(l) = 4*l - 68. Let z be j(u). Factor 3/4*n**2 + z*n - 1 + 1/4*n**3.
(n - 1)*(n + 2)**2/4
Let k(m) = m**2 + 20*m - 27. Let q be k(-21). Let d(b) = b**4. Let f(y) = -y**4 - 2*y**3 - 4*y**2. Let s(j) = q*d(j) - 2*f(j). Factor s(u).
-4*u**2*(u - 2)*(u + 1)
Let d(m) be the second derivative of 13/36*m**4 + 1/126*m**7 + 2/9*m**3 + 0*m**2 + 0 - 35*m + 1/4*m**5 + 7/90*m**6. Determine c, given that d(c) = 0.
-4, -1, 0
Let m(w) be the second derivative of 0*w**2 - 1/36*w**4 + 0 - 1/9*w**3 + 8*w. Solve m(u) = 0 for u.
-2, 0
Let m(g) be the first derivative of g**5/5 - 3*g**4 + 35*g**3/3 + 6*g**2 - 36*g + 138. Find y such that m(y) = 0.
-1, 1, 6
Suppose 5*h - 46 = -11. What is w in -2*w**3 - w**4 - 4*w**3 + h*w**3 - 2*w**2 - 4*w**3 = 0?
-2, -1, 0
What is c in 95*c**5 + 45*c**5 + 652*c**3 + 540*c**2 + 308*c**3 - 92*c**2 + 149*c - 85*c + 656*c**4 = 0?
-2, -2/5, -2/7, 0
Let m = -94 - -96. Let d(o) be the second derivative of 2/3*o**3 + 2/9*o**4 + 0*o**m + 0 - o - 1/15*o**5. Determine t, given that d(t) = 0.
-1, 0, 3
Determine t, given that -2*t**4 - 72*t**2 - 59*t**2 - 67*t**2 - 16*t**3 + 166*t**2 = 0.
-4, 0
Let a(i) be the first derivative of -4*i**5/5 - 31*i**4/20 + 3*i**3/5 + 126. Factor a(v).
-v**2*(4*v - 1)*(5*v + 9)/5
Suppose 0 = 2*d + 1 - 25. Let g be ((-4)/18)/((-4)/d). Solve 2/3 + g*j**2 + 4/3*j = 0 for j.
-1
Suppose -2*r = -54*v + 57*v + 4, 0 = -3*v - r + 1. Factor -3/4*o**v + 9/4*o - 3/2.
-3*(o - 2)*(o - 1)/4
Let q(x) be the second derivative of -2*x**7/21 - 2*x**6/3 - 9*x**5/5 - 7*x**4/3 - 4*x**3/3 - 2*x - 5. Factor q(p).
-4*p*(p + 1)**3*(p + 2)
Let r(z) be the third derivative of z**7/210 + 13*z**6/600 + 11*z**5/300 + z**4/40 + 2*z**2 + 33. Factor r(t).
t*(t + 1)**2*(5*t + 3)/5
Let s(x) be the first derivative of -1/4*x**3 - 3/8*x**2 - 5 - 1/4*x - 1/16*x**4. Factor s(u).
-(u + 1)**3/4
Let j(k) = -11*k**2 + 15*k + 19. Let b(u) = -u**2 - 1. Let v(h) = -3*b(h) - j(h). Let r(n) = 15*n**2 - 15*n - 15. Let x(y) = -2*r(y) + 3*v(y). Factor x(d).
3*(d - 2)*(4*d + 3)
Let a(v) be the second derivative of v**5/120 + v**4/32 + v**3/24 - 17*v**2/2 - 11*v. Let d(q) be the first derivative of a(q). Determine g so that d(g) = 0.
-1, -1/2
Let i be ((-63)/45 - -2) + 0/(-2). Let u(d) be the second derivative of -i*d**6 - 11*d + 0 + 5/2*d**5 + 2*d**2 - 7/2*d**4 + d**3. Factor u(v).
-2*(v - 1)**3*(9*v + 2)
Suppose 2*w - 30 = 2*h + w, -h - 33 = -5*w. Let m = h + 17. Determine z so that z**4 - m*z**4 - 7*z**3 + z**3 = 0.
-2, 0
Factor -3260/3*k**2 - 64/3*k**4 - 4600/3*k - 722/3*k**3 - 2000/3 - 2/3*k**5.
-2*(k + 1)**2*(k + 10)**3/3
Let z = 15 - 74/5. Let o = -119 - -598/5. Factor -o*n**3 - 2/5*n**2 + 0 + 0*n - z*n**4.
-n**2*(n + 1)*(n + 2)/5
Let y(z) be the third derivative of 1/102*z**5 - 2/51*z**4 + 0*z + 4/51*z**3 - 23*z**2 + 0 - 1/1020*z**6. Solve y(x) = 0 for x.
1, 2
Let f(i) be the third derivative of 7*i**6/270 + 338*i**5/135 + 688*i**4/9 + 256*i**3/3 + 51*i**2 + 2. Suppose f(r) = 0. Calculate r.
-24, -2/7
Suppose 10 = 6*y + 10. Let v(u) be the second derivative of 4/75*u**6 + 0*u**2 + 1/105*u**7 + y - 2*u + 2/15*u**4 + 3/25*u**5 + 1/15*u**3. Solve v(n) = 0.
-1, 0
Let c(o) = 2*o**2 - 269*o - 3514. Let j be c(-12). Suppo | {
"pile_set_name": "DM Mathematics"
} |
+ -3 - -5*-1*(sqrt(80) + sqrt(80) + -3 + 2))**2.
-240*sqrt(5) + 2036
Simplify (1*sqrt(132)*2 - 3*(sqrt(132) + 1*sqrt(132)))/(sqrt(144)/((sqrt(12) + (sqrt(12)*-1 - sqrt(12)))*-4))*6.
-96*sqrt(11)
Simplify (5 + (sqrt(495)/sqrt(5) - sqrt(33)/(sqrt(3)*3)))**2 - (-4*(3 + (sqrt(11) - (sqrt(22)/sqrt(2) - sqrt(11)))) - (4 + -2*sqrt(1584))**2).
-484*sqrt(11)/3 + 58205/9
Simplify (-2*-2*sqrt(77)*1*-2)/(sqrt(7)*2*4 - 1*(sqrt(7)*4 + sqrt(7))).
-8*sqrt(11)/3
Simplify 1*(1*(2*sqrt(64)*-2 - -4*sqrt(64)*2)/((sqrt(20) + sqrt(20) + (2*sqrt(980) + sqrt(980) - sqrt(980)))/sqrt(10)))**2.
2
Simplify ((sqrt(95)*-2*3 - sqrt(95))*-2*5)/((sqrt(200) + sqrt(200)*-2)/((sqrt(90) - (sqrt(90)*2 - sqrt(90)) - sqrt(90))/sqrt(9))).
35*sqrt(19)
Simplify 5*(3 + (sqrt(1539) + (-6*(sqrt(1539) + -1))**2 - (2 + sqrt(1539)*1)) + (sqrt(1539) + 3*(sqrt(1539) + 2))**2 + sqrt(1539)*-2*4).
-1440*sqrt(19) + 400505
Simplify (((-4 + -1 + sqrt(1620) + sqrt(1620))*4 - (-2 + sqrt(1620) + -3*(sqrt(1620) + -1))) + -1)**2.
-7920*sqrt(5) + 162484
Simplify (-5 + -4 + -5*(5 + sqrt(2450) + 1)*-2)*-6.
-2100*sqrt(2) - 306
Simplify -3*(0 + (5*((-1*sqrt(125) - sqrt(125)) + -2) - (2 + (sqrt(125) - (sqrt(125) + (sqrt(125) + -3*(sqrt(125) + -1))**2 + sqrt(125))))) + 4).
-1503 + 315*sqrt(5)
Simplify -4*(6*(-5 + sqrt(304) + 4 + (sqrt(304) + sqrt(304) + (-3 + sqrt(304) + 0 - sqrt(304) - sqrt(304)) + sqrt(304) - sqrt(304)) + sqrt(304)))**2.
-396288 + 13824*sqrt(19)
Simplify 4*(((sqrt(25) - sqrt(25)*4) + sqrt(25))*-2*-5)/(-5*sqrt(405)*-1)*-5.
80*sqrt(5)/9
Simplify -5*((-4*sqrt(468) + 3)*-6*-4 + -5).
-335 + 2880*sqrt(13)
Simplify 4*-2*(3 + ((sqrt(1008) - (-1 + sqrt(1008))) + -1 - sqrt(1008)) + 1 + sqrt(1008) + -4)*5 + 2.
2
Simplify (((sqrt(104) + (sqrt(104) - 2*sqrt(104)*4) - 6*-1*sqrt(104))*-5)/(1*-4*sqrt(512)*-2))**2.
0
Simplify (3 + 4*(sqrt(242) + 0)*1)*-6 - ((5 + sqrt(242) + (-4*-1*sqrt(242))**2)*5 + 5).
-19408 - 319*sqrt(2)
Simplify (sqrt(154)/sqrt(567) - sqrt(154)/(sqrt(7)*-5))/(-6*sqrt(99)*-5*-6).
-7*sqrt(2)/12150
Simplify (0 + (-3 + -6*-4*sqrt(22)/(sqrt(22)/sqrt(72)))*-2)**2.
-3456*sqrt(2) + 165924
Simplify (4*sqrt(1664))/sqrt(2)*2 + (-3*(sqrt(1573) + 0 + sqrt(1573)) + (0 + sqrt(1573))*6)**2.
64*sqrt(13)
Simplify (((-1*sqrt(300) - sqrt(300)) + sqrt(300) - sqrt(300)) + (sqrt(108)*2)/sqrt(9))/(sqrt(44)/(sqrt(11)*-2)*3).
16*sqrt(3)/3
Simplify (5*(sqrt(204) - sqrt(204)*-3) + -5*(sqrt(204) + 2*sqrt(204)))/(-1*sqrt(972)*4*6).
-5*sqrt(17)/216
Simplify -5*(4 + ((sqrt(77)*6*-1)/(sqrt(891) + sqrt(891) + -5*sqrt(891)))**2).
-1760/81
Simplify 6*(-1*((sqrt(833) - (sqrt(833) + 1)) + 2)*5)**2 + 4.
154
Simplify 4 + -3 + sqrt(1053) + 4*(sqrt(1053) - (sqrt(1053) + 0))**2 + 5 + 1 + -5 + -4.
-2 + 9*sqrt(13)
Simplify ((1 + sqrt(300) - sqrt(300))*1*-3 + -4)**2 + -1*(-2*(-1 + sqrt(300)) + sqrt(300) + sqrt(300) + -2*sqrt(300) + 1).
20*sqrt(3) + 46
Simplify (sqrt(4536)*1 - sqrt(4536))/(sqrt(48)/sqrt(6)*4) + (1 + (sqrt(2541)*1)/sqrt(3))*1.
1 + 11*sqrt(7)
Simplify -4 + -4*(1 + sqrt(1216) + sqrt(1216) + sqrt(1216) + -3 + 4 + 1)*6.
-576*sqrt(19) - 76
Simplify (2*(sqrt(2048) - -1*sqrt(2048)))/(2*sqrt(64) + sqrt(64) + (sqrt(20)*2)/sqrt(5)).
32*sqrt(2)/7
Simplify (-2*(sqrt(588) - -2*(sqrt(588) - (sqrt(588) + sqrt(588)*4))))/(sqrt(150)*3 - (sqrt(384) - (sqrt(384)*3 - sqrt(384)))).
98*sqrt(2)/23
Simplify (sqrt(171) - (sqrt(171) + (2*sqrt(171) - sqrt(171))*-5))**2*6 + (sqrt(1425) + -1*sqrt(1425))/(sqrt(48)/sqrt(4)).
25650
Simplify (2*(sqrt(91) + (sqrt(91) - sqrt(91)*-1))*-1*-3)/(sqrt(700) + (sqrt(700) + sqrt(700)*2)*-1 + 3*(2*sqrt(700) + sqrt(700))) + -3.
-3 + 9*sqrt(13)/35
Simplify (-2 + -3*sqrt(931) + (sqrt(931) - ((sqrt(931) - (sqrt(931) + sqrt(931)*-2 - sqrt(931))) + 1)))**2 - ((-5*4*sqrt(931) + 1)*2)**2.
-1466320 + 1330*sqrt(19)
Simplify (((sqrt(32) - sqrt(800)*-6) + sqrt(32) - sqrt(64)/(sqrt(20)/sqrt(10))) + 5)*1.
5 + 124*sqrt(2)
Simplify (1*sqrt(1782)*-1 + sqrt(1782))/(2*-3*sqrt(891))*2.
0
Simplify 1*((3 + (5*(sqrt(243) - (sqrt(243) - (sqrt(243) + 0) - sqrt(243))) - ((sqrt(18) + sqrt(72)/sqrt(4) + sqrt(18))/sqrt(6) + -4*sqrt(3)*-2)))**2 + -4).
474*sqrt(3) + 18728
Simplify -2*((5 + -3 + sqrt(19))*-5 + (-1*sqrt(475) - (1*sqrt(190))/sqrt(10))**2) + 3.
-1345 + 10*sqrt(19)
Simplify ((1*-6*(4*(-2 + sqrt(468)) + sqrt(468)) + 5)**2 + 5)*-6.
-2544084 + 114480*sqrt(13)
Simplify (sqrt(56) - sqrt(3584)*-6 - 5*sqrt(448)/sqrt(8))/((sqrt(16) - sqrt(400)*-1)/(sqrt(2) + 2*sqrt(98))) + -2.
-2 + 110*sqrt(7)
Simplify (sqrt(78)/sqrt(108) + 2*sqrt(2600))/(-2*sqrt(162) - (sqrt(32) + sqrt(2))*-6).
121*sqrt(13)/72
Simplify (sqrt(171) + (0 + sqrt(171))*6 + -1 - ((-3 + sqrt(76)/sqrt(4) - (sqrt(1539) + 1 - sqrt(1539))) + -4)**2) + 3.
-81 + 37*sqrt(19)
Simplify ((sqrt(57) - (sqrt(57) - (sqrt(57) - sqrt(2052)))*2) + -3*sqrt(2052))/(((sqrt(147) + (2*sqrt(147) - sqrt(147)))*-2 + sqrt(147))*-4).
-29*sqrt(19)/84
Simplify 2 + (-1 + 5 + (1*sqrt(275)*1 - (sqrt(275) + -4*(sqrt(275) + 2*sqrt(275)))) + 5 + 5)**2.
1680*sqrt(11) + 39798
Simplify -3*(sqrt(144)/(sqrt(3) + (sqrt(108) - sqrt(108)*2 - sqrt(3))) + -3)**2 + 5.
-26 - 12*sqrt(3)
Simplify (3*-1*3*sqrt(7)*6)**2 - (1 + ((sqrt(49)*2)/sqrt(7))**2)*-2.
20470
Simplify 4*(((sqrt(200)*-1 + -1 - (sqrt(200) - ((sqrt(200) - sqrt(200)*-1) + sqrt(200))*3 - sqrt(200)))*3)**2 + -3)*-4.
-1843296 + 23040*sqrt(2)
Simplify -1*(sqrt(85) + 6*sqrt(85)*1 + sqrt(85) + -6*1*sqrt(85))/(sqrt(120)/(sqrt(6) + sqrt(24)/sqrt(4)) - sqrt(20)).
2*sqrt(17)
Simplify ((4 + 5*(-1*sqrt(176) + sqrt(176) + 4 - (5 + sqrt(176)*3)))*-6)**2.
4320*sqrt(11) + 1425636
Simplify 3*5*(-3*sqrt(640)*2)/((sqrt(5) + sqrt(720) + sqrt(5))*-3).
120*sqrt(2)/7
Simplify ((3 + (-5 + -5*sqrt(80))**2 - (2 + -2 + sqrt(80) - -3*(0 + sqrt(80)))**2) + -2)*-1.
-746 - 200*sqrt(5)
Simplify (1 + 6*3*sqrt(475))**2*3 + (sqrt(475) + (2 + sqrt(475))**2*4)*-3*-1.
795*sqrt(19) + 467451
Simplify (sqrt(980)*2)/(sqrt(8)/sqrt(2)*6) - (-5 + (sqrt(10)/sqrt(2))**2 + -6*sqrt(45)).
61*sqrt(5)/3
Simplify -3 + (-2*((sqrt(1539) - (sqrt(1539) - (1 + sqrt(1539)))) + 5)*1 - (-1 + 2*sqrt(1539) + sqrt(1539)*2 + -4))**2.
756*sqrt(19) + 55450
Simplify (-4*-6*sqrt(15)/(sqrt(30)/sqrt(10)) + (sqrt(540) + sqrt(540)*1)/(sqrt(15)/sqrt(5)*5))*2.
264*sqrt(5)/5
Simplify (1*-5*-6*(-1 + sqrt(704) + -4 - (sqrt(704) - (sqrt(704) + -1)*6))*-3 + 2)**2.
-8570880*sqrt(11) + 206270464
Simplify -2 + 6*(-4 + (-2 + (sqrt(567) - 2*sqrt(567) - sqrt(567)) + sqrt(567) - (4*sqrt(567) + -1)))**2.
2700*sqrt(7) + 85198
Simplify 1 + (sqrt(95) + (sqrt(95)*-2 + sqrt(95))*3 - (sqrt(95) + 3*sqrt(95)*-3))/(sqrt(20) - sqrt(220)/(sqrt(11)*4)) + -4.
-3 + 4*sqrt(19)
Simplify (-3*sqrt(891)*5*5)**2 + 4*(sqrt(11) + sqrt(176)*-6)*-5.
460*sqrt(11) + 5011875
Simplify (4 + 1 + sqrt(1008) + 2 + -2)**2 + -4 + 4*3*sqrt(1008) + 2.
264*sqrt(7) + 1031
Simplify (-2*sqrt(156)*-4 + sqrt(156) + sqrt(156) + 4*(sqrt(156) - (4*sqrt(156) - sqrt(156))))/((-2*sqrt(588) + sqrt(12) - sqrt(12)) + sqrt(24)/(sqrt(2)*2)).
-4*sqrt(13)/27
Simplify -3 + -3 + -5 + 1*(sqrt(405) - (1 + sqrt(405) + 4) - (sqrt(405)*-2 + 0))**2*-5*2.
-16461 + 1800*sqrt(5)
Simplify (sqrt(99) - (sqrt(99) + -3)) + (sqrt(66)*2)/sqrt(6) - -5*(sqrt(275) + 0 + -3)**2.
-148*sqrt(11) + 1423
Simplify (-5*((sqrt(209) + -2*sqrt(209))*-5 + sqrt(209))*-5)/(sqrt(88)/(sqrt(8) + sqrt(8) + sqrt(288)) - 3*3*sqrt(11)) + -4.
-1200*sqrt(19)/71 - 4
Simplify ((sqrt(190) + sqrt(190) + (6*1*sqrt(190) - sqrt(190)))/(sqrt(90)/(sqrt(45)/sqrt(5))) - (-1 + sqrt(2299) + -5 + sqrt(2299) + -3))*1.
-15*sqrt(19) + 9
Simplify 6*(-6*(sqrt(1573) + sqrt(1573) + sqrt(1573)*1)*2 + 1)**2*-3.
-36694962 + 14256*sqrt(13)
Simplify (((sqrt(21) - (sqrt(1029)*-2 - sqrt(1029))) + -1*sqrt(525))*-3)/(5*sqrt(35)/sqrt(5) + sqrt(28)/sqrt(64)).
-68*sqrt(3)/7
Simplify (3*sqrt(121)*1*-2)/(-6*(sqrt(88) - (sqrt(88) + sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88)*-1 + sqrt(88)))))/sqrt(8))*-5.
5*sqrt(11)
Simplify ((2*sqrt(800))/(2*sqrt(1440)) + 2 + 0 + -1*(sqrt(180) + 1))**2.
-34*sqrt(5)/3 + 1454/9
Simplify ((-2 + sqrt(13))*4)**2 - (-3 + sqrt(832)) - ((sqrt(52)/sqrt(4) + -3)**2 - (3 + 1 + sqrt(13))).
-65*sqrt(13) + 257
Simplify (-5 + sqrt(1539) + 2 + 3*sqrt(1539)*3)**2 + 5 + 1 + (sqrt(1539) - (sqrt(1539) + -3*sqrt(1539) - sqrt(1539))**2)*1.
-531*sqrt(19) + 140064
Simplify (-2*2*sqrt(637) + sqrt(637) + -2*sqrt(91)/(sqrt(63) - sqrt(7)) - (2 + sqrt(325) + 4 + (5 + s | {
"pile_set_name": "DM Mathematics"
} |
cement from lxlldgxxgdxdg. Give prob of picking 1 l and 3 x.
12/715
What is prob of picking 1 d and 1 m when two letters picked without replacement from dmzppddd?
1/7
Four letters picked without replacement from hhnddndnddddddnhdd. What is prob of picking 1 n, 1 h, and 2 d?
11/51
What is prob of picking 3 w when three letters picked without replacement from wbstwwwwtkwbtosobtkb?
1/57
Three letters picked without replacement from {m: 4, v: 2}. What is prob of picking 2 m and 1 v?
3/5
Two letters picked without replacement from mqqm. Give prob of picking 2 m.
1/6
Three letters picked without replacement from {l: 3, w: 11}. Give prob of picking 3 w.
165/364
What is prob of picking 1 t and 1 n when two letters picked without replacement from tottntnnntotnt?
5/13
Four letters picked without replacement from {d: 4, g: 3, s: 11}. Give prob of picking 1 d and 3 s.
11/51
Three letters picked without replacement from nbbnbbbnbbznn. Give prob of picking 1 n and 2 b.
105/286
Three letters picked without replacement from eeaaeaaaeaea. What is prob of picking 3 a?
7/44
Calculate prob of picking 2 s and 2 y when four letters picked without replacement from {y: 11, s: 2}.
1/13
What is prob of picking 2 v when two letters picked without replacement from vfiivwfviiv?
6/55
Three letters picked without replacement from {f: 1, a: 7, p: 3, r: 4, k: 1}. What is prob of picking 3 r?
1/140
Three letters picked without replacement from gkuyuyyy. What is prob of picking 1 u and 2 y?
3/14
Two letters picked without replacement from wfaefbdwe. Give prob of picking 1 w and 1 d.
1/18
What is prob of picking 1 v and 1 n when two letters picked without replacement from mqmxnnnyqmymvnqqqqyv?
4/95
Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, t: 2, p: 2, a: 4, b: 7}.
1/19
Calculate prob of picking 2 c, 1 i, and 1 k when four letters picked without replacement from dcdkkidiikgkgckc.
9/364
Three letters picked without replacement from {g: 1, s: 1, f: 3, v: 1, k: 1}. What is prob of picking 2 f and 1 v?
3/35
Two letters picked without replacement from oicivivoocccioc. What is prob of picking 1 v and 1 c?
2/21
Two letters picked without replacement from piipi. What is prob of picking 1 i and 1 p?
3/5
Two letters picked without replacement from sfzfs. What is prob of picking 2 f?
1/10
Three letters picked without replacement from cdddcddcdtdcct. What is prob of picking 1 c, 1 d, and 1 t?
5/26
What is prob of picking 1 w and 1 u when two letters picked without replacement from wwuuwuwwuwwwuuwuuuuw?
10/19
What is prob of picking 2 o and 1 d when three letters picked without replacement from {u: 2, j: 3, d: 4, n: 1, o: 4, p: 3}?
3/85
What is prob of picking 1 w and 1 u when two letters picked without replacement from {w: 6, u: 2}?
3/7
What is prob of picking 1 t and 1 i when two letters picked without replacement from iiiqtqoi?
1/7
Three letters picked without replacement from {h: 6, b: 6, f: 3, t: 3}. Give prob of picking 2 f and 1 h.
3/136
Two letters picked without replacement from {d: 2, g: 1, v: 2}. Give prob of picking 1 d and 1 g.
1/5
Four letters picked without replacement from {l: 2, w: 1, a: 1, c: 2}. What is prob of picking 1 a, 1 l, and 2 c?
2/15
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from fddffdyffdyd.
5/33
Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, p: 3}.
7/15
What is prob of picking 1 w, 1 b, and 2 m when four letters picked without replacement from nwmmwmnhnbm?
2/55
Two letters picked without replacement from ofsssooosf. What is prob of picking 2 f?
1/45
What is prob of picking 3 t and 1 g when four letters picked without replacement from {t: 11, g: 9}?
99/323
Three letters picked without replacement from gggggygggyggggggggg. What is prob of picking 1 g and 2 y?
1/57
Three letters picked without replacement from pllxkpxltgp. What is prob of picking 1 g, 1 x, and 1 l?
2/55
Three letters picked without replacement from {p: 13, l: 3, x: 4}. What is prob of picking 1 x, 1 l, and 1 p?
13/95
Calculate prob of picking 2 b, 1 j, and 1 t when four letters picked without replacement from {y: 10, j: 4, t: 2, b: 3}.
2/323
Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, s: 2, p: 3}.
2/9
Three letters picked without replacement from ddcudddke. What is prob of picking 1 c, 1 k, and 1 d?
5/84
Four letters picked without replacement from {n: 9, r: 8, k: 2}. What is prob of picking 1 k and 3 r?
28/969
What is prob of picking 2 r when two letters picked without replacement from ddrzrrrdzzrdrrrdrzrd?
9/38
Calculate prob of picking 1 q, 1 a, and 1 f when three letters picked without replacement from {k: 4, f: 1, g: 2, q: 1, a: 1}.
1/84
Four letters picked without replacement from oxiyooyxiooooookoooo. Give prob of picking 2 i and 2 y.
1/4845
Calculate prob of picking 1 p and 2 o when three letters picked without replacement from iqowoiowiqqwqwop.
3/280
Four letters picked without replacement from rrrrrorrroorrrr. Give prob of picking 2 r and 2 o.
66/455
What is prob of picking 1 d and 1 l when two letters picked without replacement from llldlldlvlv?
14/55
What is prob of picking 1 o and 1 j when two letters picked without replacement from {j: 2, a: 2, o: 4, n: 12}?
4/95
What is prob of picking 3 c when three letters picked without replacement from kccaaaaaccacaca?
4/91
Three letters picked without replacement from {j: 6}. What is prob of picking 3 j?
1
Two letters picked without replacement from wwwwlwwwlwjj. Give prob of picking 2 j.
1/66
Two letters picked without replacement from wfzowznnozzp. What is prob of picking 1 o and 1 p?
1/33
What is prob of picking 1 q, 1 z, and 2 p when four letters picked without replacement from {p: 6, q: 3, t: 5, z: 3}?
27/476
What is prob of picking 3 m when three letters picked without replacement from {f: 3, m: 13}?
143/280
Two letters picked without replacement from leleecueeclcuee. Give prob of picking 2 u.
1/105
What is prob of picking 1 p and 1 n when two letters picked without replacement from {n: 5, p: 15}?
15/38
What is prob of picking 2 y and 1 o when three letters picked without replacement from {o: 1, y: 3}?
3/4
What is prob of picking 1 z and 1 w when two letters picked without replacement from {z: 1, w: 1, k: 1}?
1/3
Calculate prob of picking 1 v and 1 x when two letters picked without replacement from epvljvx.
2/21
Four letters picked without replacement from wwnnnnnznnnwnnnnn. What is prob of picking 2 n and 2 w?
117/1190
What is prob of picking 1 v and 1 p when two letters picked without replacement from vpppppvp?
3/7
Calculate prob of picking 1 n, 2 u, and 1 z when four letters picked without replacement from {n: 3, z: 2, u: 8, q: 2}.
8/65
What is prob of picking 1 f and 1 a when two letters picked without replacement from {h: 2, s: 5, n: 1, f: 7, a: 3}?
7/51
What is prob of picking 1 m and 1 n when two letters picked without replacement from jdjnmnmmm?
2/9
Four letters picked without replacement from {m: 6, o: 1, g: 10}. Give prob of picking 3 m and 1 o.
1/119
Three letters picked without replacement from khthswwtwkthss. Give prob of picking 1 k, 1 h, and 1 s.
9/182
Calculate prob of picking 3 k and 1 x when four letters picked without replacement from {k: 7, x: 6}.
42/143
Three letters picked without replacement from cnmncnmn. What is prob of picking 1 c and 2 m?
1/28
What is prob of picking 3 w and 1 h when four letters picked without replacement from hhwhhhhhhhhhhwhhhw?
1/204
Two letters picked without replacement from oooooeooooeoooioo. Give prob of picking 2 e.
1/136
What is prob of picking 1 j and 1 e when two letters picked without replacement from zejjjejeezjj?
4/11
Four letters picked without replacement from llppplpppppplp. What is prob of picking 4 l?
1/1001
Four letters picked without replacement from fqqwypuqqqqqwqf. What is prob of picking 1 f, 1 w, 1 y, and 1 u?
4/1365
Two letters picked without replacement from iisssiigiisissisissi. Give prob of picking 1 i and 1 g.
1/19
Two letters picked without replacement from {i: 10, f: 6, t: 1, w: 1, r: 1}. Give prob of picking 1 i and 1 r.
10/171
Calculate prob of picking 3 c when three letters picked without replac | {
"pile_set_name": "DM Mathematics"
} |
n(u). Suppose 0*h + 20 = -2*h. Does 8 divide q(h)?
True
Let j(o) = 10*o + 30. Is j(7) a multiple of 11?
False
Let h(a) = -13*a + 1. Let c(g) = g. Let r(y) = 4*c(y) + h(y). Is r(-1) a multiple of 10?
True
Suppose 2*n - 46 = 36. Is n a multiple of 12?
False
Let m = -3 - -5. Suppose -p = m*p - 6. Suppose 3*q + 5*l - l = 7, -p*q - l = -13. Is q a multiple of 9?
True
Let r be (-99)/(-6) - (-3)/(-6). Let x be 4*(0 + 3/2). Let s = r - x. Is s a multiple of 5?
True
Let c be 65/55 - (-4)/(-22). Let r = 0 - c. Let b(l) = -5*l**3 - l**2 - 2*l - 1. Is b(r) even?
False
Suppose -3*c = -4*v - 0*v - 38, 0 = -2*c + v + 32. Is 6 a factor of c?
True
Suppose -154 = -h - 2*b, -6*h = -2*h - 5*b - 642. Is 33 a factor of h?
False
Let x(q) = -q**3 - 2*q**2 - 3. Suppose 1 = -5*v - 24. Let j be x(v). Suppose 3*u - u - j = 0. Is 13 a factor of u?
False
Let f = 3 - -3. Is f even?
True
Let s = 12 + -5. Let g = s - -1. Is 3 a factor of g?
False
Let r be 8/(-12) - (-596)/3. Suppose 5*x = -20, 5*v = x - 74 + r. Suppose -2*o - o = -v. Is 8 a factor of o?
True
Let u be (-1)/(-2) - 58/4. Let o be (u/4)/(1/4). Is 14 a factor of 1/(2 - (-27)/o)?
True
Let h(y) be the first derivative of 3*y**2/2 + 5*y + 11. Suppose 3*b = 4*a + 28, -3*a - a = 16. Is h(b) a multiple of 9?
False
Let d(p) be the third derivative of p**6/120 + p**4/24 + 4*p**3/3 + 2*p**2. Is 8 a factor of d(0)?
True
Suppose 0 = -3*a - 4*g + 2 - 0, -g = -3*a + 22. Suppose h + h = a. Suppose h*p - 22 - 23 = 0. Does 10 divide p?
False
Suppose -q + 41 = 2*f, -f - 2*f + 51 = 5*q. Is f a multiple of 22?
True
Suppose 255 = 5*t - 75. Is 11 a factor of t?
True
Let l(k) = -k**3 - 6*k**2 + 6*k - 4. Let w be l(-7). Suppose 4*m = m - 18. Let u = w - m. Is 9 a factor of u?
True
Let d = -21 - -15. Let p = d + 8. Suppose 4*h = -0*h - 3*t, 0 = -p*h - 2*t - 2. Does 2 divide h?
False
Suppose 405 = -0*m + 5*m - r, 0 = 2*r + 10. Suppose -3*g + m + 130 = 0. Is g a multiple of 12?
False
Suppose b + b = 5*m - 9, 3*b = -6. Is 2 + -3 - m*-19 a multiple of 16?
False
Suppose -8*j = 9*j - 170. Does 10 divide j?
True
Suppose 4*n + 7 = 19. Suppose 4*j = n*b - 0*b - 24, b - 3*j = 13. Is b a multiple of 4?
True
Let w(q) be the first derivative of -3*q**2 - 2*q - 4. Is w(-3) a multiple of 5?
False
Suppose 0 = 3*j - j + 5*o + 9, 5*j - 4*o - 27 = 0. Let u = j + -2. Is u*(-10)/(0 + -2) a multiple of 4?
False
Let g = 145 - 97. Let s = -3 - -8. Suppose i = -i - 3*j + 33, 4*j = s*i - g. Does 9 divide i?
False
Let x(r) = -3*r - 9*r - r**2 - 6 + 3*r. Let w be x(-8). Suppose -4*h = 4*d - 8 - 32, -w*h = 5*d - 62. Does 14 divide d?
True
Let p = 5 + 11. Let t = p - 1. Does 13 divide t?
False
Suppose 0 = -4*u + 42 + 118. Does 9 divide u?
False
Let o(q) = q + 6. Let t = 5 + 0. Is o(t) a multiple of 11?
True
Suppose 16 = -5*o - 9. Let a = 10 + o. Suppose -53 = -5*k + 2*q, k + 9 = a*q + 38. Is k a multiple of 6?
False
Let t(i) = -3*i - 3. Let l be t(-2). Suppose 4*w + 5 = -l. Is 14 a factor of 96/(5 + w) + 2?
False
Suppose 0 = -2*l - q + 6*q + 24, -3*q = 2*l + 8. Let a(d) = 9*d**3 + d**2 - 2*d. Let i be a(l). Does 11 divide ((-6)/(-8))/(2/i)?
False
Suppose 2*t + 9 = -t. Let i = t - -7. Suppose w = 6*w - 4*x - 267, i*w + 3*x - 195 = 0. Is w a multiple of 17?
True
Let v(f) = 2*f**2 - 2. Let t(b) = -b + 14. Let s be t(11). Does 7 divide v(s)?
False
Let v = 62 + -33. Suppose 0 = 5*f - v - 21. Does 10 divide f?
True
Let r(k) be the first derivative of -k**4/4 + k**3 - 3*k**2/2 - 4*k - 1. Let y be r(3). Let o = y - -21. Does 7 divide o?
False
Let d = -14 + 10. Let x be 33/7 + d/(-14). Suppose 2*t - 22 = -x*w + w, -3*t + 5*w + 88 = 0. Does 16 divide t?
False
Let h = -2 - -7. Suppose 4*b = 2*j - 7*j + 190, 10 = -h*j. Does 14 divide b?
False
Suppose 0 = 3*r - 19 - 29. Is 8 a factor of r?
True
Let n(d) = d**3 + 3*d**2 - 5*d - 4. Let o be n(-3). Let g(i) = 13*i + 1. Let u be g(o). Suppose -u = -5*p + 3*z, p - 20 - 20 = -5*z. Does 16 divide p?
False
Suppose -4*f - 31 - 9 = -5*u, 2*u - 4 = 4*f. Suppose 0 = -2*p - u + 44. Does 4 divide p?
True
Let d = 24 + 12. Is 5 a factor of d?
False
Let u be (4/(-6))/((-2)/(-3)). Let t = u - -7. Does 3 divide t?
True
Let r(o) = 7*o**2 - 8. Is r(3) a multiple of 11?
True
Let n(w) = w**3 + 7*w**2 + 6*w + 4. Let o be n(-6). Suppose o*h - 56 = 2*h. Is 14 a factor of h?
True
Let b(u) = u**2 - 2. Suppose 3*p + 3 + 6 = 0. Let c be b(p). Suppose -2*v = -31 + c. Is 4 a factor of v?
True
Let i = 7 - -9. Is 8 a factor of i?
True
Suppose 4*t - 81 + 1 = 0. Suppose t*k - 126 = 17*k. Does 9 divide k?
False
Does 15 divide (1*-5)/(2/(-10))?
False
Let q(v) = 55*v**2 - v + 2. Is 8 a factor of q(1)?
True
Let s be 10/(-14) - (-2)/(-7). Let h(g) = 9*g**2 - 1. Is 4 a factor of h(s)?
True
Suppose 5*i - 15 - 45 = 0. Is 101/4 + 9/i a multiple of 11?
False
Suppose 0 = -21*d + 19*d + 92. Is d a multiple of 46?
True
Let p(k) = -14*k**3 + 16*k**2 - 27*k + 20. Let d(a) = -5*a**3 + 5*a**2 - 9*a + 7. Let n(b) = 11*d(b) - 4*p(b). Let m be n(8). Does 15 divide 8*((-225)/(-12))/m?
True
Suppose -2*m + 5*n + 141 = 0, -n = -m + 55 + 8. Does 19 divide m?
False
Suppose 3*y - 402 = -5*i - y, 4*i = 2*y + 306. Is 26 a factor of i?
True
Let x be ((-6)/(-1) - 3) + -1. Suppose -x*d + 58 + 42 = -4*w, 2*w + 8 = 0. Is 14 a factor of d?
True
Let q(s) = s**3 + 21*s**2 - 2*s - 11. Is 31 a factor of q(-21)?
True
Let m = -84 - -150. Suppose -6*b - 3*z = -5*b - m, 4*b - 319 = -z. Is 27 a factor of b?
True
Let s(j) = 13 - 4*j + 10 + 3*j. Let f be s(0). Suppose -3*y = 4*p + f - 111, -p + 5*y - 1 = 0. Is p a multiple of 14?
False
Let r be 14/6 - 1/3. Let u(s) = s**3 - 2*s**2 + 5*s + 3. Let z(n) = n**2 - 4*n - 2. Let p(q) = 3*u(q) + 4*z(q). Does 14 divide p(r)?
False
Is 9/(-36) + (543/4)/3 a multiple of 9?
True
Let f(o) = 6*o**3 - 2*o**2 + 1. Let b be f(1). Suppose -b = -c + 2. Suppose -3*w + 104 = -2*j, -3*j = -c*j - 16. Does 16 divide w?
True
Let j(r) = r**2 - 5*r - 6. Let u be j(6). Suppose u = -4*b + 5 + 39. Is b even?
False
Let p(t) = t**2 + 7*t - 8. Let w be p(-7). Let l = w - -10. Suppose l*g = 3*q + 42, 28 = 3*g + 5*q - 54. Does 18 divide g?
False
Suppose 696 = 3*f + 3*d, -12 = -4*d + d. Does 38 divide f?
True
Let d(i) = -i**2 + 6*i - 1. Let y be d(5). Does 10 divide (93/6)/(2/y)?
False
Suppose -g + 6 - 2 = 0. Suppose -2*o + g + 6 = 0. Does 8 divide (8/o)/(1/5)?
True
Let l(u) = -3*u**2 - 4*u. Let o(k) = 2*k**2 + 4*k + 1. Let c(n) = -3*l(n) - 2*o(n). Is 21 a factor of c(3)?
False
Suppose 150 + 130 = 8*q. Is 7 a factor of q?
True
Suppose -4*o + 8*o - 8 = -2*v, 0 = 3*v + 3*o - 27. Does 3 divide v?
False
Suppose -3*t - 4*r + r = -48, 3*t + 2*r - 46 = 0. Is 7 a factor of t?
True
Let z be (3/6)/(2/(-4)). Is (-6)/(-2) - 20/z a multiple of 10?
False
Let a(b) = b**3 - 8*b**2 - 12*b - 19. Does 33 divide a(10)?
False
Let w(v) = -v**2 - 6*v - 4. Let h be w(-4). Suppose 2*s = h*k - k + 63, -s + 3*k = -39. Is s a multiple of 12?
True
Suppose 2*u + 12 = 2*y, -5*y = 5*u - 0*y. Is 2/u + (-34)/(-6) a multiple of 4?
False
Suppose 1178 = -b - 2*w - 764, -5*w + 5793 = -3*b. Is 5 a factor of 4/(-30) + b/(-120)?
False
Let c = -2 - 3. Let z(r) = -r**3 + 7*r**2 - 2*r. Let f be z(6). Let m = f + c. Is 8 a factor of m?
False
Let l(s) = -s - 3. Suppose -w = w. Let m be l(w). Is 5 a factor of (-5)/(1*(m + 2))?
True
Suppose -60 = 3*t - 0*t. Let s = 1 - t. Is s a multiple of 7?
True
Let p(t) be the third derivative of t**6/120 + 2*t**5/15 + 7*t**4/24 - t**3 + 4*t**2. Suppose -5*d + 3*d = 12. Is 12 a factor of p(d)?
True
Let u be 2 + 0 + -1 + -1. Suppose u = a - 5 - 0. Suppose 48 = a*s - 2*s. Does 15 divide s?
False
Let s = 28 - 20. Suppose -1 = -0*r + r + 4*x, 0 = -2*x. Let a = s - r. Is 9 a factor of a?
True
Suppose -3*p + 0*y + 133 = -2*y, -p = -2*y - 51. Let x = 22 + p. Is x a multiple of 21?
True
Suppose -4*s + 5*s = 29. Does 7 divide s?
False
Let f be (-1764)/(-35) + 2/(-5). Suppose z + 3*n = -z + 24, 4*z + 5*n = f. Is z a multiple of 7?
False
Let m(v) = v**3 - 12*v**2 + 14*v + 5. Suppose 0 = 3*z + 2*z - 20. Suppose -49 = -z*n - o, 5*o = 5*n - 25 - 5. Does 19 divide m(n)?
True
Let z(n) = -5*n + 0*n - 4 - 3*n. Let v be z(-6). Suppose -5*a + 2*b = 4*b - v, -3*a + 30 = 3*b. Does 4 divide a?
True
Let p = -4 + 7. Let a be -2 + p/6*0. Let r(g) = 3*g**2 + g. Does 4 divide r(a)?
False
Let h = -43 + -885. Suppose -9*v = -103 - | {
"pile_set_name": "DM Mathematics"
} |
42 AM and 11:13 AM?
631
How many minutes are there between 4:08 PM and 1:27 AM?
559
What is 573 minutes before 10:42 PM?
1:09 PM
How many minutes are there between 2:18 PM and 11:27 PM?
549
What is 690 minutes after 4:34 AM?
4:04 PM
How many minutes are there between 5:20 PM and 6:10 PM?
50
How many minutes are there between 2:40 AM and 6:07 AM?
207
What is 700 minutes after 3:48 PM?
3:28 AM
How many minutes are there between 6:19 AM and 2:41 PM?
502
What is 414 minutes before 6:43 AM?
11:49 PM
What is 185 minutes before 12:33 AM?
9:28 PM
How many minutes are there between 4:30 AM and 3:35 PM?
665
What is 265 minutes before 5:46 AM?
1:21 AM
How many minutes are there between 2:49 AM and 3:43 AM?
54
How many minutes are there between 4:20 PM and 4:39 PM?
19
What is 48 minutes before 4:36 AM?
3:48 AM
How many minutes are there between 2:27 PM and 7:18 PM?
291
How many minutes are there between 9:12 AM and 12:18 PM?
186
What is 173 minutes after 7:02 AM?
9:55 AM
What is 237 minutes after 12:09 PM?
4:06 PM
What is 467 minutes after 4:56 AM?
12:43 PM
What is 202 minutes after 7:04 AM?
10:26 AM
What is 158 minutes after 12:51 PM?
3:29 PM
What is 556 minutes after 10:16 AM?
7:32 PM
What is 526 minutes before 8:28 PM?
11:42 AM
How many minutes are there between 11:32 PM and 11:01 AM?
689
How many minutes are there between 10:42 PM and 2:33 AM?
231
How many minutes are there between 7:32 AM and 10:01 AM?
149
How many minutes are there between 7:37 PM and 7:20 AM?
703
What is 71 minutes before 5:28 AM?
4:17 AM
How many minutes are there between 1:40 PM and 7:05 PM?
325
How many minutes are there between 10:34 AM and 7:58 PM?
564
What is 667 minutes before 1:28 PM?
2:21 AM
What is 546 minutes after 1:55 AM?
11:01 AM
What is 679 minutes before 6:47 AM?
7:28 PM
How many minutes are there between 8:14 AM and 8:24 AM?
10
What is 399 minutes before 8:03 PM?
1:24 PM
How many minutes are there between 8:25 AM and 4:36 PM?
491
How many minutes are there between 1:44 AM and 8:12 AM?
388
How many minutes are there between 8:26 AM and 3:05 PM?
399
How many minutes are there between 12:02 AM and 5:55 AM?
353
How many minutes are there between 1:22 AM and 8:58 AM?
456
What is 277 minutes after 11:24 PM?
4:01 AM
What is 176 minutes before 8:07 AM?
5:11 AM
What is 652 minutes after 3:29 AM?
2:21 PM
What is 470 minutes after 4:20 AM?
12:10 PM
How many minutes are there between 7:03 PM and 11:15 PM?
252
What is 700 minutes before 6:59 PM?
7:19 AM
How many minutes are there between 1:54 PM and 12:49 AM?
655
How many minutes are there between 4:29 AM and 4:12 PM?
703
How many minutes are there between 7:33 PM and 10:50 PM?
197
What is 127 minutes after 2:20 PM?
4:27 PM
How many minutes are there between 11:34 AM and 2:57 PM?
203
How many minutes are there between 9:06 PM and 11:23 PM?
137
How many minutes are there between 4:47 PM and 7:09 PM?
142
How many minutes are there between 8:03 PM and 5:19 AM?
556
How many minutes are there between 2:31 AM and 12:51 PM?
620
What is 611 minutes after 10:47 PM?
8:58 AM
How many minutes are there between 7:54 PM and 12:24 AM?
270
How many minutes are there between 4:32 AM and 10:39 AM?
367
How many minutes are there between 10:25 AM and 12:12 PM?
107
What is 135 minutes before 2:24 AM?
12:09 AM
How many minutes are there between 9:57 PM and 12:12 AM?
135
What is 71 minutes before 6:32 AM?
5:21 AM
How many minutes are there between 7:51 PM and 7:50 AM?
719
How many minutes are there between 10:00 PM and 8:39 AM?
639
How many minutes are there between 4:59 PM and 1:01 AM?
482
How many minutes are there between 5:05 PM and 2:50 AM?
585
What is 2 minutes before 12:14 AM?
12:12 AM
What is 302 minutes before 9:32 AM?
4:30 AM
What is 388 minutes before 7:32 PM?
1:04 PM
How many minutes are there between 11:20 PM and 9:32 AM?
612
What is 496 minutes before 10:47 PM?
2:31 PM
How many minutes are there between 5:18 AM and 6:48 AM?
90
How many minutes are there between 2:14 AM and 12:06 PM?
592
How many minutes are there between 11:12 AM and 1:18 PM?
126
What is 505 minutes after 12:28 AM?
8:53 AM
How many minutes are there between 12:37 PM and 6:53 PM?
376
How many minutes are there between 4:51 AM and 11:30 AM?
399
What is 710 minutes before 3:56 PM?
4:06 AM
What is 14 minutes after 3:56 PM?
4:10 PM
What is 158 minutes after 11:14 PM?
1:52 AM
How many minutes are there between 7:21 AM and 7:09 PM?
708
What is 657 minutes before 12:50 PM?
1:53 AM
How many minutes are there between 10:55 PM and 8:33 AM?
578
What is 250 minutes after 12:20 AM?
4:30 AM
How many minutes are there between 12:27 PM and 12:15 AM?
708
How many minutes are there between 6:06 AM and 9:07 AM?
181
What is 418 minutes after 4:44 AM?
11:42 AM
What is 388 minutes before 3:58 PM?
9:30 AM
How many minutes are there between 8:07 AM and 7:29 PM?
682
How many minutes are there between 10:15 AM and 1:32 PM?
197
What is 597 minutes before 8:48 PM?
10:51 AM
How many minutes are there between 12:43 PM and 7:41 PM?
418
How many minutes are there between 11:15 AM and 10:02 PM?
647
What is 408 minutes before 4:58 AM?
10:10 PM
What is 707 minutes before 7:32 PM?
7:45 AM
What is 158 minutes before 8:52 AM?
6:14 AM
How many minutes are there between 6:49 PM and 5:13 AM?
624
How many minutes are there between 10:37 PM and 8:18 AM?
581
How many minutes are there between 12:10 AM and 3:27 AM?
197
How many minutes are there between 6:37 AM and 4:09 PM?
572
How many minutes are there between 4:36 AM and 12:00 PM?
444
How many minutes are there between 3:25 PM and 8:04 PM?
279
What is 688 minutes before 1:34 PM?
2:06 AM
What is 524 minutes after 5:35 AM?
2:19 PM
How many minutes are there between 3:13 AM and 5:23 AM?
130
How many minutes are there between 1:30 AM and 3:42 AM?
132
What is 583 minutes after 9:42 PM?
7:25 AM
What is 535 minutes after 4:07 AM?
1:02 PM
What is 33 minutes after 7:43 AM?
8:16 AM
How many minutes are there between 9:26 PM and 3:51 AM?
385
How many minutes are there between 11:19 AM and 10:06 PM?
647
What is 677 minutes before 8:43 AM?
9:26 PM
What is 50 minutes after 9:45 PM?
10:35 PM
What is 410 minutes before 7:12 PM?
12:22 PM
What is 581 minutes after 8:30 PM?
6:11 AM
What is 249 minutes after 12:53 PM?
5:02 PM
How many minutes are there between 2:47 AM and 10:37 AM?
470
What is 11 minutes after 12:13 PM?
12:24 PM
How many minutes are there between 5:22 PM and 9:48 PM?
266
What is 662 minutes after 7:31 AM?
6:33 PM
What is 595 minutes after 3:20 PM?
1:15 AM
What is 246 minutes after 12:26 PM?
4:32 PM
How many minutes are there between 6:22 PM and 3:50 AM?
568
How many minutes are there between 8:58 AM and 1:10 PM?
252
What is 578 minutes before 6:28 PM?
8:50 AM
What is 60 minutes after 2:53 AM?
3:53 AM
How many minutes are there between 8:57 PM and 3:13 AM?
376
How many minutes are there between 9:13 PM and 11:20 PM?
127
What is 714 minutes before 1:05 AM?
1:11 PM
How many minutes are there between 6:03 PM and 4:14 AM?
611
What is 184 minutes after 11:09 PM?
2:13 AM
What is 503 minutes before 9:59 AM?
1:36 AM
What is 148 minutes after 7:41 AM?
10:09 AM
What is 639 minutes after 4:24 PM?
3:03 AM
What is 159 minutes after 10:25 AM?
1:04 PM
How many minutes are there between 3:45 AM and 1:17 PM?
572
What is 401 minutes after 4:58 PM?
11:39 PM
How many minutes are there between 8:16 AM and 2:27 PM?
371
What is 685 minutes after 10:48 AM?
10:13 PM
What is 657 minutes after 6:36 PM?
5:33 AM
What is 710 minutes after 12:26 AM?
12:16 PM
What is 264 minutes before 6:30 PM?
2:06 PM
What is 667 minutes after 12:13 AM?
11:20 AM
What is 236 minutes before 2:42 AM?
10:46 PM
How many minutes are there between 11:25 AM and 1:35 PM?
130
What is 466 minutes after 2:07 AM?
9:53 AM
How many minutes are there between 2:37 AM and 4:28 AM?
111
How many minutes are there between 9:05 AM and 8:27 PM?
682
How many minutes are there between 12:34 AM and 2:37 AM?
123
What is 56 minutes before 1:43 AM?
12:47 AM
What is 49 minutes after 7:15 AM?
8:04 AM
How many minutes are there between 8:07 PM and 7:36 AM?
689
How many minutes are there between 7:29 AM and 4:21 PM?
532
What is 709 minutes before 1:11 AM?
1:22 PM
How many minutes are there between 4:15 AM and 3:17 PM?
662
What is 156 minute | {
"pile_set_name": "DM Mathematics"
} |
) x
b
Let m = -68 - -68. Let c be (-2 - m)/((-6)/15). Suppose c = 8*r + 13. What is the second biggest value in 0, 4, -2/3, r?
0
Let d = -0.21568 + -0.01432. Let a be (2*-1 - 84/(-35)) + 0. What is the fourth biggest value in d, 2, -9, a?
-9
Suppose 3*w = p - 5, 0*p + 5*w = -3*p - 27. What is the second biggest value in p, -0.26, -2, 0.5?
-0.26
Let m = -4993/3318 - -8/1659. What is the third smallest value in -2, m, 5.28?
5.28
Let m = 3391 + -3316.35. Let y = m - 4.65. What is the second smallest value in y, -1/2, 5?
5
Let t = 1.3424 + 0.6576. Which is the smallest value? (a) 2/7 (b) t (c) 42
a
Let q be 7/(-14)*((-1)/4 - (-38)/24). Which is the fourth biggest value? (a) -26/7 (b) 2 (c) q (d) 0.4 (e) -4
a
Let l = 0.06 + -0.06. Let i = 1.61 - -2.39. Let w be (-7)/(-4)*16/112. Which is the second biggest value? (a) w (b) -2 (c) i (d) l
a
Let z = 644 + -989. Let n = -341 - z. What is the second biggest value in 2/7, 5, n?
n
Let f = 0.04 - 2.04. Let d = -851/12 + 285/4. Which is the third smallest value? (a) f (b) d (c) 1
c
Let v = 909/1603 + 1/229. Let n = -244 - -100. Let w = -143 - n. Which is the biggest value? (a) -0.08 (b) v (c) w
c
Let p = 401 - 399.92. Let l = -45.08 + p. Which is the third smallest value? (a) -0.4 (b) 0.4 (c) l
b
Let i = -462 + 948. Let r = 419.4 - i. Let u = -67 - r. Which is the second biggest value? (a) u (b) 3 (c) -5 (d) 4/5
d
Let p = 0.01 - 3.01. Let d = -0.229 + -4.7502. Let q = 0.0792 + d. Which is the biggest value? (a) q (b) p (c) -3/2
c
Let w be -3 - 1 - (9 - 72/8). Let v be (-19)/665*w/2. Which is the second smallest value? (a) 6 (b) v (c) 5
c
Let z = 1.8 - -5.2. Let v = 3.71 - -0.29. Let n = z - v. Which is the smallest value? (a) 0 (b) n (c) 0.06
a
Let v be -4*2/16*(-1 + 68). What is the third smallest value in -2/9, v, 3?
3
Let c = 1.3926 + -1.3726. What is the third biggest value in -1, -0.3, -6, c, 2/9?
-0.3
Suppose 100*i + 264 = 34*i. What is the smallest value in i, -39/8, -0.2?
-39/8
Let v = 0 - -0.4. Suppose 2*h = w + h + 24, -w - 4*h - 39 = 0. Let o be (-8)/(-32)*(-3)/(w/12). Which is the second biggest value? (a) o (b) 12/5 (c) v
c
Let f(y) = -y**2 + y + 7. Let d be f(3). Suppose 5*s - 25 = 3*t, -s + d = -2*s. Let v = t - -6. Which is the smallest value? (a) -1 (b) v (c) 0.4
b
Let f = 335.7 + -314. Let m = f - 1.7. Let w = 20.1 - m. Which is the smallest value? (a) 1/2 (b) w (c) -4
c
Let g be (26 - 11 - 14)*(4 - (-29)/(-8)). Which is the fourth smallest value? (a) -0.3 (b) g (c) 4 (d) -1/4 (e) 134/3
c
Let y(t) = -22*t**3 + t**2 - 3*t + 2. Let v be y(2). Let s be 1/3 - v/48. Let z = -20 - -19. What is the fourth biggest value in z, 0.5, s, -2/3?
z
Let w = 6.3339 + -0.3339. Let s = -6.7 + 7.1. Which is the smallest value? (a) w (b) -5 (c) s
b
Let w = -16.57 - -17. Let i(m) = m**2 + 58*m + 621. Let o be i(-14). Which is the third biggest value? (a) w (b) o (c) 0.5
a
Let g be 45/(-210) + (-265)/70. Let u = 452/119 + -27/7. What is the fourth biggest value in u, g, 2, -4/3?
g
Let t = 3 - 3.2. Let w = 0.003167 - 0.053167. What is the second biggest value in -2, w, t, 0.4?
w
Let y = 0.044 + 0.956. Let s = 1.21 - y. What is the second biggest value in -2, s, -0.5?
-0.5
Let r = -145 - -142.6. Let y = r - -5.4. Which is the smallest value? (a) y (b) 0.1 (c) -5
c
Let r = 650/11 + -11039/187. Which is the third smallest value? (a) 2 (b) -3 (c) 0.1 (d) r
c
Let w be 0/(5 - (5 + 15)/5). Suppose g - 2*h = 1 + 1, -4*g - 22 = 2*h. Let t = 0.4 + -0.3. Which is the smallest value? (a) t (b) g (c) w (d) 1
b
Let u = 62 + -64. Let h = -19 - -18.2. Let n = h - -0.6. What is the smallest value in 9, n, u?
u
Let t = -0.01006 + 4.01006. Let q = -2 - -9. Let n = q + -13. Which is the third smallest value? (a) t (b) 2 (c) n
a
Let t = 2/3 - 4/3. Let l be (-16)/40 - (2 - (0 - -2)). What is the second smallest value in 1/10, -0.06, t, l?
l
Suppose -4*w + 207 = 135. Let z be -2 + -1*w/(-9). Which is the third smallest value? (a) -2/7 (b) 1 (c) z (d) -0.5
c
Suppose -20 = -3*d + 4*d + 2*p, 0 = 4*d - 3*p + 25. What is the third smallest value in 1/6, d, -187?
1/6
Let b = 701 + -2104/3. What is the third smallest value in 3/5, 3/31, 1, -3, b?
3/31
Suppose -5*s - 2*g = 0, -25*g = 3*s - 24*g - 1. Let o = 30 - 20. Which is the biggest value? (a) s (b) -0.3 (c) o
c
Let d = -9673/3 - -3224. Let r = 3.9317 + 0.0983. Let x = r - 0.03. Which is the second biggest value? (a) x (b) d (c) -3.6
b
Let u = -0.2299 - 0.0701. Let d be (2/(-8))/(1/37*1). What is the second biggest value in -3, d, u?
-3
Let i = -462 - -457. Suppose 2*h = -v + 3, 2*v + 2*v + 15 = h. Suppose 0 = m - h*f, -4*m = m + f. Which is the smallest value? (a) m (b) i (c) -0.4
b
Let p = -1.17 - -12.27. Let z = 55.1 + -44. Let v = z - p. What is the third smallest value in -0.5, -0.3, v?
v
Let v = 19091/5 - 3816. Which is the fourth smallest value? (a) 4/3 (b) 6 (c) v (d) 0
b
Let w be ((-150)/525)/((-3)/(-21)). Let l = -0.37 + 0.67. Which is the fourth biggest value? (a) 8/5 (b) l (c) 4 (d) w
d
Let r = -925 + 923. Let p be (r - -1)*(-3)/(-27). Which is the third smallest value? (a) -4 (b) p (c) -1/7 (d) 1/2
b
Let p = -352.4 - 1.6. Let l = 355.5 + p. Which is the second biggest value? (a) -5 (b) -2/17 (c) l
b
Let f = 4805 + -4805.5. What is the smallest value in 11, f, -16?
-16
Let m = -6.88 + 7. Let o = -0.7555 - -0.9555. Let d = -2.02 + 0.02. Which is the biggest value? (a) o (b) m (c) d
a
Let o = -5.892 - -5.892. Which is the smallest value? (a) -3 (b) 0.3 (c) o (d) -14/31
a
Suppose -233 = 4*b - 313. Let x be 2/6 + b/(-30). What is the biggest value in 1, x, 0.055?
1
Let k = -4/43 + 99/602. Let i = -2928 - -17567/6. Which is the second biggest value? (a) -3 (b) -1/7 (c) i (d) k
b
Let w = 0.09364 - 9.09364. What is the second smallest value in w, 1/8, -4/23?
-4/23
Let k = -361 - -360.6. What is the second smallest value in k, -0.2, 3, -1.5, 1/2?
k
Let h be -896 + -3 + 1 + 2. Let j = -5377/6 - h. What is the second biggest value in 6, -4, 5, j?
5
Let g(t) = -t**2 - 11*t - 16. Let f be g(-3). Which is the third smallest value? (a) f (b) -1 (c) 0.9
a
Let x(a) = 4*a - 69. Let l(p) = -p + 23. Let o(r) = 8*l(r) + 3*x(r). Let b be o(6). Let c be 6/(-15)*b/(7/10). What is the third smallest value in -0.2, 4, c?
4
Let q = -3.07 + 0.07. Let l = -3.5 - q. Let x(s) = -1579*s + 48947. Let y be x(31). Which is the biggest value? (a) l (b) y (c) -1
a
Let f be ((-126)/(-30) + 7)/(-2) - -6. Let r = -108 + 107. Which is the third smallest value? (a) -2/5 (b) -0.3 (c) r (d) f
b
Let f = -24422 + 24398. What is the second biggest value in -2/523, 2/3, f?
-2/523
Let w = -20/41 - -37/328. Let m = 3/164 + -191/1476. Which is the smallest value? (a) w (b) m (c) 5
a
Let n = 6/37 + 56/111. Let b be (-190)/(-57)*(0 + 15). Let j be b/75 + (-8)/6. What is the fourth smallest value in j, 4/3, -5, n?
4/3
Let f = 25041 + -175292/7. What is the second biggest value in -8, -3, -16, f, 2?
f
Suppose 3*y - 53*z + 54*z + 1 = 0, -3*y + 5*z = -5. What is the biggest value in y, 2, 6/5?
2
Let k = -11785 + 11785.5593. Let y = k + -0.0593. Which is the fourth biggest value? (a) 1/3 (b) -1 (c) y (d) -2/101
b
Let p = 0.189 - 0.749. Let l = 0.86 + p. Let q = 4.92 - -0.08. What is the smallest value in q, 3, -1/6, l?
-1/6
Let z = -1666.8 + 1547. What is the biggest value in -5, 1, z?
1
Let k = -2351/3 - -783. Let o be 12*(-2 + 40/12). Suppose 0 = -3*w - w + o. Which is the biggest value? (a) w (b) -5 (c) k (d) 2/9
a
Let f be (-2)/12 - (654/(-36) + -8). Let y(d) = -d**2 + 19*d + 183. Let a be y(f). What is the third smallest value in -4, a, -2/9, 0.5?
0.5
Let d = 186 + -181. Let j = -3 - -3.14. Let k = 1.86 + j. What is the fourth smallest value in k, 0.3, d, 0.2?
d
Let y be 1*(5 + 1 + (-232)/38). Which is the third biggest value? (a) 0.028 (b) -0.5 (c) 3/2 (d) y
d
Let j = -2.96 + 3.13. What is the third biggest value in 5, j, -4.5?
-4.5
Let i be (-1105)/255*(-2 + -7)*1. Let w be i + -32 - 8/1. Which is the fourth smallest value? (a) 0.2 (b) -3 (c) 2/41 (d) w
a
Let d = -31572/5 - -6314. What is the second biggest value in -1.54, d, 0.3, 1?
0.3
Let f = 247 + -256.9. Let o = f - -23.3. Let u = - | {
"pile_set_name": "DM Mathematics"
} |
587
Sort 10, 21, 103, 20, 4 in descending order.
103, 21, 20, 10, 4
Put 8, 3, 8901, 4, 0 in ascending order.
0, 3, 4, 8, 8901
Sort 7, -1, 2, -95, 19.
-95, -1, 2, 7, 19
Put -1080/1783, 5, 0 in descending order.
5, 0, -1080/1783
Put 2, -2579278.2, -4 in decreasing order.
2, -4, -2579278.2
Sort -1.46137, -2/27, -52 in decreasing order.
-2/27, -1.46137, -52
Put -238, 0.4, 31, 8/13, -1/3, 1/5 in descending order.
31, 8/13, 0.4, 1/5, -1/3, -238
Sort 5/2, -62, 0.4, -1/2, 2, -0.02 in decreasing order.
5/2, 2, 0.4, -0.02, -1/2, -62
Sort -2, 16977, -3, -72.
-72, -3, -2, 16977
Put 0, 4, -2, -13070, 32 in increasing order.
-13070, -2, 0, 4, 32
Sort -3, -8, 10, 5, 1, 3, 126 in descending order.
126, 10, 5, 3, 1, -3, -8
Put 0, -2572, -1, -4, -3, 6 in descending order.
6, 0, -1, -3, -4, -2572
Sort 8, 20, -141, 0 in ascending order.
-141, 0, 8, 20
Sort -0.0379, 2, 5720.
-0.0379, 2, 5720
Put -14, 3, 2, 237, -5, 0, 5 in increasing order.
-14, -5, 0, 2, 3, 5, 237
Sort 70872, -0.06, 39/2, 2 in descending order.
70872, 39/2, 2, -0.06
Put 0.1, -3/8, 746467, 0.3 in decreasing order.
746467, 0.3, 0.1, -3/8
Sort 5, -12, 14/13, 14 in decreasing order.
14, 5, 14/13, -12
Put -2, -9/31472, -3/5, -3 in ascending order.
-3, -2, -3/5, -9/31472
Sort -5, 54, 176, 4, 75.
-5, 4, 54, 75, 176
Sort -4, 4, -4/5, -2/73, -11, 916.4 in ascending order.
-11, -4, -4/5, -2/73, 4, 916.4
Put 180, 1505, -3, -1, 15 in ascending order.
-3, -1, 15, 180, 1505
Sort 20421, 123.6, 1, -2 in decreasing order.
20421, 123.6, 1, -2
Put 0.07, -128, 25421, 2/3 in ascending order.
-128, 0.07, 2/3, 25421
Sort 2, -0.3, -62, 3, 4, 5, -16.
-62, -16, -0.3, 2, 3, 4, 5
Sort -568, 8, -209, 5.
-568, -209, 5, 8
Put -5, -52, 28, 3, -340 in ascending order.
-340, -52, -5, 3, 28
Sort -0.2, -3, -2319, -0.028, -1/4 in increasing order.
-2319, -3, -1/4, -0.2, -0.028
Sort 0, 6, -3, -6, 14703.
-6, -3, 0, 6, 14703
Sort -101, 4, 55, 705 in decreasing order.
705, 55, 4, -101
Put 150, -37, 17, 3/7 in descending order.
150, 17, 3/7, -37
Put -4, 3, 543, -362 in decreasing order.
543, 3, -4, -362
Sort 1, -100, -3, 3068 in increasing order.
-100, -3, 1, 3068
Put 2, -182, -7, 18, -5, 40 in decreasing order.
40, 18, 2, -5, -7, -182
Put -28, -1, 3, -14, 2, -58, -3 in descending order.
3, 2, -1, -3, -14, -28, -58
Sort -10, 25, -11, -20, -5, -38, 1 in ascending order.
-38, -20, -11, -10, -5, 1, 25
Sort 10, 5, 138291, -1, 3, 4, -3.
-3, -1, 3, 4, 5, 10, 138291
Sort -2, 3, -3443335, 1 in descending order.
3, 1, -2, -3443335
Put -3975, -3, -10, -1, 5, 0, 1 in descending order.
5, 1, 0, -1, -3, -10, -3975
Sort 1775313, -2, -36.
-36, -2, 1775313
Put 4, -5, -73798824, 1 in increasing order.
-73798824, -5, 1, 4
Sort -15041, -3, -4, -102 in decreasing order.
-3, -4, -102, -15041
Sort -4, 3, -2/39, 2, -37.3 in increasing order.
-37.3, -4, -2/39, 2, 3
Put 3, 5, 290, 2, 0, -55 in ascending order.
-55, 0, 2, 3, 5, 290
Sort 2, 77991, 1/54 in ascending order.
1/54, 2, 77991
Sort -13/2, 2.626143, 3.
-13/2, 2.626143, 3
Sort 324, 2466, -2 in increasing order.
-2, 324, 2466
Sort 1, 29, -2, 23349 in increasing order.
-2, 1, 29, 23349
Put -3, -0.3, 14.2, -114, -5, -32 in increasing order.
-114, -32, -5, -3, -0.3, 14.2
Sort -7.2, 0.1, 15, -0.657 in decreasing order.
15, 0.1, -0.657, -7.2
Put -4, 1, -8, -2, -28614 in descending order.
1, -2, -4, -8, -28614
Sort 3, 1, 20, -2, 0, 14174 in ascending order.
-2, 0, 1, 3, 20, 14174
Put -0.4, 6/5, 2.88, -347 in decreasing order.
2.88, 6/5, -0.4, -347
Sort -128, 1, -22, 372, 6 in decreasing order.
372, 6, 1, -22, -128
Put 25, 9, -6, 0, -4, 3 in decreasing order.
25, 9, 3, 0, -4, -6
Sort -0.5, -3/4, 624.72, -2/13, 3 in ascending order.
-3/4, -0.5, -2/13, 3, 624.72
Put -4, 223641/5, 0.5 in ascending order.
-4, 0.5, 223641/5
Sort 4, 168, 983, -15, -4, -2 in decreasing order.
983, 168, 4, -2, -4, -15
Sort -6/793, -6/109, 4, 10/7 in ascending order.
-6/109, -6/793, 10/7, 4
Sort 7, -5, -3.612, -7/27.
-5, -3.612, -7/27, 7
Put 88, -5, -57175, 0, 3 in increasing order.
-57175, -5, 0, 3, 88
Sort 16228, -46, 0, -8.
-46, -8, 0, 16228
Sort -2.98, 178, -583 in ascending order.
-583, -2.98, 178
Sort 1/3, -1840/53, -13, 0.14.
-1840/53, -13, 0.14, 1/3
Sort 1, -35, -62, -1, 10, 2 in decreasing order.
10, 2, 1, -1, -35, -62
Sort 3, 16, 26, -41, -11.
-41, -11, 3, 16, 26
Put -0.43, -0.1, -1/22, 2/53, -2/3 in increasing order.
-2/3, -0.43, -0.1, -1/22, 2/53
Sort 1/3, 2862686, -8/5 in ascending order.
-8/5, 1/3, 2862686
Sort 4, -62, 6, -129, -3, -51, -1 in descending order.
6, 4, -1, -3, -51, -62, -129
Sort 6, 8750, 69.
6, 69, 8750
Sort -2, -7, -3, 60092, -4, -27.
-27, -7, -4, -3, -2, 60092
Put -2/17, -1273, -0.4, -16, 2, 10 in descending order.
10, 2, -2/17, -0.4, -16, -1273
Put -106293, 1, 6, -5, 4, 0 in ascending order.
-106293, -5, 0, 1, 4, 6
Put -9, -2, -291, 5, -5, -16 in decreasing order.
5, -2, -5, -9, -16, -291
Put -1, -1/5, 2, -17470824 in ascending order.
-17470824, -1, -1/5, 2
Put 2558.726, 0.5, 5/77 in increasing order.
5/77, 0.5, 2558.726
Sort -2169, -24/7, -3, 1.8 in decreasing order.
1.8, -3, -24/7, -2169
Sort -15, -47, 53, -3, 3, 0, -5 in decreasing order.
53, 3, 0, -3, -5, -15, -47
Put 81, -1028, 7 in descending order.
81, 7, -1028
Sort 15, 6581, -5, -6, 2 in descending order.
6581, 15, 2, -5, -6
Sort 3/20, 16/9, -0.684.
-0.684, 3/20, 16/9
Sort 2, 6657, -167.
-167, 2, 6657
Put -5, 1589534, -4 in ascending order.
-5, -4, 1589534
Sort -53, -0.2, -367, -11, -86 in ascending order.
-367, -86, -53, -11, -0.2
Put -4, 1/7, 3842, -60/19, -0.3 in decreasing order.
3842, 1/7, -0.3, -60/19, -4
Sort 4, 2, 10975, 6, 44.
2, 4, 6, 44, 10975
Sort -0.07, 30/17, 0, 4, 0.26, -4 in decreasing order.
4, 30/17, 0.26, 0, -0.07, -4
Sort -2, 352400, 75 in ascending order.
-2, 75, 352400
Sort 9, -12, -79455 in descending order.
9, -12, -79455
Sort 5, -43674964, -1 in descending order.
5, -1, -43674964
Sort 350, 3, 4, -11.5, 11 in decreasing order.
350, 11, 4, 3, -11.5
Sort 1, -0.19536, 0.1, 2/11, 0.5 in ascending order.
-0.19536, 0.1, 2/11, 0.5, 1
Put 1, 2/9, -1/2, -1/4, -520, -3 in increasing order.
-520, -3, -1/2, -1/4, 2/9, 1
Sort -1, 12, 19, -40, -17 in descending order.
19, 12, -1, -17, -40
Sort -1/2, 20, 448, 0.5, -4, -148 in increasing order.
-148, -4, -1/2, 0.5, 20, 448
Sort 4, 1201, -92, 57, 5 in ascending order.
-92, 4, 5, 57, 1201
Sort -199501, 3, 104 in ascending order.
-199501, 3, 104
Put 9, -3, -5049, -386 in increasing order.
-5049, -386, -3, 9
Sort -18, 51, 63 in ascending order.
-18, 51, 63
Put 132007, -5, -80 in increasing order.
-80, -5, 132007
Put -1, -295, 5, -25, -36, -3 in ascending order.
-295, -36, -25, -3, -1, 5
Put -16066, 63, -22 in ascending order.
-16066, -22, 63
Put 3/2, 12695, -4/7, 24, 0.3, -5 in descending order.
12695, 24, 3/2, 0.3, -4/7, -5
Put 2, 3, -4, -2, 6201533, -3 in decreasing order.
6201533, 3, 2, -2, -3, -4
Sort 1.89, -3/5, -5615 in descending order.
1.89, -3/5, -5615
Put -10041, -347, 0 in descending order.
0, -347, -10041
Sort 2, -613, -2, 4, -5, 5, 0.
-613, -5, -2, 0, 2, 4, 5
Sort 5, 19, -3, 0, -219168, 4 in descending order.
19, 5, 4, 0, -3, -219168
Sort -6/475, -2116, 0.063 in increasing order.
-2116, -6/475, 0.063
Sort -2, -11870372, 5 in increasing order.
-11870372, -2, 5
Put 6/11, -73/5, 3, 15/7 in decreasing order.
3, 15/7, 6/11, -73/5
Sort -2/17, -0.55, -5.3897, -0.5.
-5.3897, -0.55, -0.5, -2/17
Sort 317, -0.1, 6, -1, 476.
-1, -0.1, 6, 317, 476
Sort 3, 176060, -28, 10.
-28, 3, 10, 176060
Sort -6, 3, -1, -3, 1551 in decreasing order.
1551, 3, -1, -3, -6
Put -5, 5, 2, 22, -133859, -2 in ascending order.
-133859, -5, -2, 2, 5, 22
Sort 10/3, 2, -0.02, 983, 1/3.
-0.02, 1/3, 2, 10/3, 983
Sort 1, 2, 441, -2, 423 in increasing order.
-2, 1, 2, 423, 441
Sort -134.7, 0.129, 0, 24, 5, 2/9 in ascending order.
-134.7, 0, 0.129, 2/9, 5, 24
Sort -4, -16, 33, -8795, -3, 3 in descending order.
33, 3, -3, -4, -16, -8795
Put 5, -2/5, -2, 21, -9, 0, -47.6 in increasing order.
-47.6, -9, -2, -2/5, 0, 5, 21
Put -3, 7, -17, 1, -4, 120, -2 in decreasing order.
120, 7, 1, -2, -3, -4, -17
Sort -0.0806, -1/104, 0 in decreasing order.
0, -1/104, -0.0806
Sort 2, -29/4, -4, 765, 0.16, -0.1.
-29/4, -4, -0.1, 0.16, 2, 765
Sort 8, 0, -2, -1.5, -2/11, 6370 in decreasing order.
6370, 8, 0, -2/11, -1.5, -2
Sort -59/3, -0.2, | {
"pile_set_name": "DM Mathematics"
} |
(6).
3
Let v = 4 - 8. Let f = -1 + v. Let o(n) be the first derivative of n**3/3 + 2*n**2 - 2*n + 1. Give o(f).
3
Suppose -4*z - 3*s = -6*s - 17, -z = -s - 5. Let y = 3 + z. Suppose 0 = y*v - 2*v. Let k(l) = -l - 12. Determine k(v).
-12
Let g(q) = q**2 + 7*q + 17. Let x be g(-4). Let z(i) = -i - 2. Give z(x).
-7
Let l = 8 + 8. Suppose 0*b - l = -4*b. Let y be b/(-6) - (-2)/3. Let j(x) = x**3 + x**2 - x - 6. Give j(y).
-6
Let p(h) = 4*h + 1 + 0 - 10*h. Let j be p(-1). Let d(m) = -m**2 + 7*m + 3. Determine d(j).
3
Let w(z) = z + 10. Let n be w(-8). Let a(u) be the first derivative of 0*u + 1 + 1/2*u**n. Determine a(-3).
-3
Let r(l) = -4*l**2 + 4*l**2 - 2 + 2*l**2. Suppose -7*y = -5*y. Suppose y*x - 2*x = 4. Determine r(x).
6
Let s(f) be the second derivative of 0 + 5/2*f**2 - 6*f - 1/2*f**4 + 1/20*f**5 + 1/2*f**3. Calculate s(5).
-5
Let b(v) = -v**2 + 8*v**3 - 4 + 3 - 2*v + 0*v. Determine b(-1).
-8
Let q(p) be the second derivative of -p**5/20 - p**4/3 + 2*p**2 - 3*p. What is q(-3)?
-5
Let w = 12 + -9. Suppose -3*s = -5*g - 23, w*s = -0*s + 4*g + 19. Let h(q) = s + 4*q**2 - 1 - 1. Determine h(-1).
3
Let f(d) be the third derivative of d**5/60 + d**4/12 + d**3/6 + d**2. Suppose 16*y - y = -45. What is f(y)?
4
Let k be 5/(-5) + (-2 - -1). Let v(j) = -2*j - 3. Let f be v(k). Let l(y) = y**2 - y**2 + 4*y - f - y**2. Give l(3).
2
Let d(o) be the first derivative of -o**6/120 + o**5/60 + o**3/2 + o**2/2 + 3. Let v(a) be the second derivative of d(a). What is v(0)?
3
Let j(h) = h**2 - h + 1. Let o(s) = -3*s - 1. Let c(d) = j(d) + o(d). Give c(4).
0
Let c(w) = w + 1. Let l(m) = -m**2 + 2*m - 3. Let d(a) = -2*c(a) - l(a). Let r = 53 + -50. Determine d(r).
-2
Let p(x) be the third derivative of x**6/120 + x**5/12 + x**4/6 + x**3/6 - 5*x**2. Let r be -5 + (-1 - (-2 - 0)). Give p(r).
1
Let g(p) = p - p + 2 - 3*p + p**2 + 0*p. Suppose 3*x - x + 5 = -y, 4*y = -5*x - 8. Give g(y).
2
Let d(w) = w**2 - w. Let o(f) = -1 + 3 + 3*f**2 - f**3 + 2*f**2 + 2*f. Let u(j) = d(j) + o(j). Suppose 4*k - 15 = -k - 5*c, 3*k + c - 15 = 0. Calculate u(k).
8
Let l(y) be the second derivative of y**6/360 + 3*y**5/40 + 3*y**4/8 - y**3 + 6*y. Let c(u) be the second derivative of l(u). Calculate c(-6).
-9
Let t(x) = -x - 5. Suppose k + 0*o + 9 = 3*o, -11 = k - 4*o. Give t(k).
-2
Let h(d) = -3*d + 9. Let b(m) = -2*m + 8. Let o(c) = 4*b(c) - 3*h(c). Let i = 1 + 3. What is o(i)?
9
Suppose 3*o + 0*o = 0. Suppose -4*f + 5 - 1 = 0. Let v(r) = 4 + f - 3 + r. Calculate v(o).
2
Let q be 806/195 - 4/30. Suppose -11 = 5*f + 4*x, f - 2*f - 15 = q*x. Let c(t) = -2*t**3 + 6*t**3 - 2*t**2 + 3*t**3 + 1. Calculate c(f).
6
Suppose x = 4*x + 18. Let a(t) = -3*t + 2. Determine a(x).
20
Let y(d) = -7*d**3 + 8*d**2 + d + 8. Let g(x) = 10*x**3 - 12*x**2 - x - 12. Let c(t) = 5*g(t) + 7*y(t). Give c(3).
-7
Let l(s) = s + 11. Let n = 3 + 8. Let z(i) = i**3 - 12*i**2 + 11*i - 5. Let a be z(n). Give l(a).
6
Let o(i) = i**3 + 6*i**2 + 6*i + 5. Let z be o(-5). Suppose -w - 7 = -2*w - g, -2*g + 23 = 5*w. Let u(j) = 6 - 2 - j - w. Calculate u(z).
1
Let o be ((-2)/3)/((-13)/(-117)). Let x(h) = h**2 + 10*h + 8. Calculate x(o).
-16
Suppose 0 = 3*g + 2*i, -i = 5*g + i - 4. Suppose -5 = g*w - 13. Suppose 2*k - w*q - 10 - 4 = 0, 0 = 2*k - 3*q - 13. Let o(c) = -c**2 + 6*c + 1. What is o(k)?
6
Let x = -5 + -1. Suppose 0 = -4*g + o + 29, -2*o - o = -5*g + 45. Let b(k) = 7*k + 0*k - 6 - 2*k - g*k. Give b(x).
0
Suppose 0 = 5*r + 6*s - 2*s - 11, -3*r - 5*s + 17 = 0. Let g be (-28)/35*5/(-2). Let p(m) = 10 - 3*m**g + m - 10. Give p(r).
-4
Let o(v) = -3*v**2 - 2*v - 57*v**3 + 29*v**3 + 27*v**3. Give o(-2).
0
Let j(l) = -l**2 + 10*l. Let i(u) = -u - 1. Let y(z) = -3*i(z) - j(z). Calculate y(6).
-3
Let d be ((-4)/2)/((-1)/2). Let f(n) be the second derivative of n**4/12 - n**3/6 - 2*n**2 + n. Determine f(d).
8
Let r(j) = 7*j**3 - j**2 - j. Let f(u) = u**2 + 3*u - 4. Let w be f(-4). Let n(v) = -v**2 - 10*v - 10. Let y be n(-9). Let x = y + w. Determine r(x).
-7
Let d(m) be the third derivative of m**6/120 + 3*m**5/20 - m**4/12 - 5*m**3/3 - 36*m**2. Calculate d(-9).
8
Let j(n) = 2*n - 2. Let o(v) = -v + 1. Let b(x) = 2*j(x) + 3*o(x). Let l be 12/(-10)*25/10. Let s(w) = -w**3 - 4*w**2 - 2*w + 2. Let f be s(l). What is b(f)?
-2
Suppose 11*j = -2*j. Let t(k) = -3*k**2 - 10*k + 18. Let g(z) = 2*z**2 + 7*z - 12. Let i(h) = 7*g(h) + 5*t(h). Calculate i(j).
6
Let y(x) = -x**3 + 6*x**2 - 3*x - 10. Let r be y(5). Let d(z) = -z + 1. What is d(r)?
1
Let r(f) be the second derivative of 0 - 5/2*f**2 + f - 2/3*f**3. Let v(q) = 3*q + 4. Let y(h) = 5*r(h) + 6*v(h). Determine y(4).
-9
Let o(b) be the first derivative of -b**6/360 + b**5/60 + 7*b**4/24 + b**3 + 3. Let q(d) be the third derivative of o(d). What is q(5)?
-8
Let x be ((-15)/12 - (-2)/(-8))*2. Let n(j) = -j**2 - 4*j + 1. Calculate n(x).
4
Let m(y) = 2*y - 1 + y**3 - 2*y**3 - 5*y**2 + 6. Let t(v) = -5*v**3 - 20*v**2 + 9*v + 19. Let l(j) = 9*m(j) - 2*t(j). Give l(5).
7
Let k(l) be the second derivative of -l**4/12 - 5*l**3/3 - 7*l**2/2 - 2*l. Let c be k(-8). Let i be 8/6*c/(-6). Let t(v) = -v - 1. Calculate t(i).
1
Let p be 8 - 2*2/(-2). Let i be -1 + (-5)/(p/(-12)). Suppose -3*m = -2*b + 10 + 5, m - b + i = 0. Let k(x) = x**3 + 5*x**2 + x + 6. Determine k(m).
1
Let k be ((1 - -1)/(-1))/(-1). Let n(q) = -2*q + 7. Let u(h) = -h + 3. Let d(i) = 3*n(i) - 7*u(i). Calculate d(k).
2
Let b(q) = -11*q + 1. Suppose d - 4*r = 1, -4*r + 2 = -5*d + 7. Determine b(d).
-10
Let k(m) be the second derivative of -m**6/360 - m**5/120 + m**4/12 + m**3/3 - 2*m. Let w(q) be the second derivative of k(q). What is w(-3)?
-4
Suppose -4*c = -2*h + 4, 3*h - 2*c = -3*c - 22. Let i(o) = -2 + 0 - o + 31*o**2 + o**3 - 25*o**2. Calculate i(h).
4
Let x(l) = 2*l**3 - 2*l**2 - l. Let b be 1/(4*-1 + 3). What is x(b)?
-3
Let h(x) = x**2 - 2*x - 1. Let k(u) = -3*u - 14. Let w be k(-6). Determine h(w).
7
Let b(m) = m**2 + 4*m - 2*m**3 + 0*m**3 + m**3. Let j = -1 - -5. Let w = 7 - j. What is b(w)?
-6
Let k = 8 - 8. Let c(x) = -x. Calculate c(k).
0
Let o(h) = -h**3 + h**2 + h. Let q be ((-2)/4)/((-1)/4). Let f(c) = -c**3 - 2*c - 2. Let d(v) = q*o(v) - f(v). Give d(-2).
10
Let p(m) = 4*m. Let u(r) = -r + 2. Let y be u(6). Determine p(y).
-16
Let d be 0 - 2 - -1 - -4. Suppose -d*l - 4 = -4*l. Let k(i) be the third derivative of i**6/120 - i**5/15 + i**3/6 - 15*i**2 - 2*i. Give k(l).
1
Let k(i) = -i - 16. Let l be k(-10). Let f be (-120)/(-100)*(-20)/l. Let a(w) = w**3 - 3*w**2 - 2*w + 6. What is a(f)?
14
Let q = 35 - 44. Let a(r) = r + 8. Determine a(q).
-1
Let q(r) = -r**2 + 6*r - 4. Let i(p) = p**2 + p. Let d = 21 + -24. Let u be i(d). Determine q(u).
-4
Let g(w) = 2*w - 11. Let x(q) = 3*q**2 - 2*q. Let n be x(2). What is g(n)?
5
Suppose 0*b - 8 = t + 2*b, -12 = 3*t + 3*b. Suppose 4*x = -0*x + 16. Let p(m) = -4 + 0 + x*m - 5*m + 1. Determine p(t).
-3
Let o(v) be the second derivative of 0 - v**2 - 1/6*v**3 - 2*v - 1/10*v**5 + 0*v**4. Let b(i) be the first derivative of o(i). Calculate b(-1).
-7
Let w(l) be the third derivative of l**7/840 + l**6/120 + l**5/60 + l**4/6 + l**3/3 - 3*l**2. Let b(h) be the first derivative of w(h). Determine b(-3).
-2
Suppose 0 = -3*g + 2*j + 5, -3*g - j = g - 3. Let k be (6/(-1))/((-2)/g). Let r(i) = k*i**3 + i**3 - 4*i**3 + i**3. Give r(1).
1
Let l(m) be the third derivative of -5*m**2 - 1/24*m**4 + 1/6*m**3 - 1/20*m**5 + 0 + 0*m. Let d(x) = -x**2 - 5*x - 2. Let o be d(-4). What is l(o)?
-13
Let g(z) be the first derivative of -5*z**3/6 + z**2/2 + 2*z - 1. Let b(y) be the first derivative of g(y). What is b(1)?
-4
Suppose 0 = 2*s - 14 + 4. Let c(x) be the third derivative of 5/24*x**4 - 1/6*x**3 - 2*x**2 - 1/120*x**6 + 1/15*x**5 + 0 + 0*x. Determine c(s).
-1
Let r(i) = -3*i**2 - 2*i - 5. Let f(g) = 7*g**2 + 3*g + 11. Let y(u) = 4*f(u) + 9*r(u). Give y(5).
-6
Let l(c) be the third derivative of c**5/20 + c**4/12 - c**3/3 + c**2. Let f = -3 - -8. Suppose -f*m + 3*k - 1 = 3, -3*k - 16 = 5*m. Give l(m).
6
Let w(k) = 11*k - 1. Let o(p) = -2*p**3 - 5*p**2 + 2*p**3 + 4 + p + 2 - p**3. Let c be o(-5). Give w(c).
10
Suppose v - 2 = -a - 1, -12 = -2*v - 4*a. Let s(g) = g - 1. Let l(r) = 2*r. Let n(w) = l(w) - 3*s(w). Give n(v).
7
Let y(t) = t**3 + 10*t**2 + 8*t - 4. Let z be y(-9). Let s(m) = -m**3 + | {
"pile_set_name": "DM Mathematics"
} |
4*o, -3*o = 5 - 2. What is c(r)?
0
Let k = -840 + 846. Suppose -k*p - 21 + 27 = 0. Let q(x) = -20*x**2 - x + 1. Calculate q(p).
-20
Let k be -2 + 406/21 + -16 - 68/6. Let p(l) = -3*l + 11. Let y(o) = o - 6. Let u(b) = -2*p(b) - 5*y(b). What is u(k)?
-2
Let u(r) = -r**3 - 4 - 2*r + 7*r**2 + 2 - 2 - 4*r. Suppose 2*z = -4*i - 24, -2*i + 6*i = 2*z - 8. Let q be 69/12 + (-1)/z. Determine u(q).
-4
Let w(n) be the third derivative of -1/2*n**3 + 0*n**4 + 12*n**2 + 0*n + 1/20*n**5 - 1/120*n**6 + 0. Determine w(4).
-19
Let m(z) = z - 2. Suppose -4*o + 3*s - 32 = 0, 0 = -2*o + 2*s + s - 16. What is m(o)?
-10
Suppose 12*d = n + 9*d - 11, -7 = -3*n - 4*d. Let w(z) = -z**2 + 8*z - 6. Calculate w(n).
9
Let k(a) be the second derivative of a**5/20 - 3*a**4/4 - a**3 + 4*a**2 + 686*a. What is k(10)?
48
Suppose 3*y - 3*m - 3 = 0, -5*y - m + 2 = -7*y. Let x(i) = -3*i**2 - 6*i - 8. Determine x(y).
-17
Let n(t) be the first derivative of -t**3/3 + 13*t**2/2 - 9*t + 29. Let a be n(12). Suppose 7 = a*f + 19. Let b(j) = j**2 + 2*j + 5. Calculate b(f).
13
Let h(z) = -z**2 - 6*z + 4. Let w be (-92)/5 - ((-456)/(-60) - 8). Let s be 122/w + 5/(225/(-10)). Give h(s).
-3
Let i(y) be the third derivative of y**6/120 + y**5/30 - 25*y**4/12 - 5*y**3/6 + 61*y**2. What is i(-8)?
11
Let i(l) = l + 29. Let q be i(-26). Let s(r) be the first derivative of -r**4/4 + r**3 + r**2/2 - 4*r + 316. Determine s(q).
-1
Let b(g) = 43*g**3 - 2*g**2 - 3. Let z(v) be the first derivative of 11*v**4/2 - v**3/3 - 2*v - 4274. Let s = -11 + 6. Let x(w) = s*z(w) + 3*b(w). What is x(1)?
19
Let u(l) be the second derivative of l**7/840 - l**6/90 + l**5/60 - l**4/24 - 85*l**3/2 + 39*l. Let i(n) be the second derivative of u(n). Give i(3).
-4
Let p(u) = 15*u - 1. Suppose 3 = 5*k + 4*f, 10*f = k + 5*f - 18. Let l(h) = -13*h + 3. Let j(y) = k*l(y) + 2*p(y). Give j(5).
-38
Let q(o) = o**3 - 14*o**2 + 21*o + 30. Let z be q(12). Let c(s) = -s**2 - 7*s - 2. Calculate c(z).
4
Suppose -29*s + 19*s = 0. Let o(m) = m**2 + m - 116. Determine o(s).
-116
Suppose 0 = 164*v - 261*v. Let w(h) be the third derivative of -13*h**2 + v*h**4 + 1/60*h**5 + 0*h + 0 + 4/3*h**3. What is w(0)?
8
Let c = 3599 - 3602. Let s(v) = -2*v**2 - 1. Calculate s(c).
-19
Let k(p) = -7*p + 3. Suppose 2*s - 7*b - 514 = -3*b, 0 = -4*b + 8. Let o = -259 + s. Calculate k(o).
-11
Let k(z) = z**2 + 7*z - 97. Let m be k(7). Let r(f) = 14*f**3 + 0*f**3 + 1 + 567*f - 567*f. Calculate r(m).
15
Suppose 4*w + 15*w = 76. Suppose 5*t + 4 + 3 = -w*j, -12 = 4*t. Let m(d) = -d**3 + 2*d**2 + 2*d. What is m(j)?
4
Let q(r) = 2*r**2 + 1. Suppose 0 = 27*t + 84 + 213. Let o(d) = -10 - 3*d - 4 + 2*d. Let p be o(t). What is q(p)?
19
Let d(x) = 253*x + 3794. Let s be d(-15). Let p(f) = -7*f**3 - f**2 + 8*f + 8. Give p(s).
6
Let b(r) = r**2 - r + 31. Suppose 20 = -4*o + 4*s - 0*s, -3*o - 2*s - 35 = 0. Let w(f) = f**2 + 12*f + 27. Let u be w(o). Give b(u).
31
Let l = -485 - -508. Suppose l - 18 = -j. Let t(u) = u**2 + 4*u - 5. Determine t(j).
0
Let p(f) = f - 16 - 2*f + 3. Let k be -1*4/10 + (-1200)/125. What is p(k)?
-3
Let l(f) = -f**2 - 8*f + 52. Let q be l(-10). Suppose -q*w = -27*w. Let z(d) = -d**2 - 23. Calculate z(w).
-23
Let w(c) = 27*c + 1. Suppose -8*z + 5*z - 20 = j, 4*z + 21 = -j. Let l(t) = 76*t + 3. Let h(b) = j*w(b) + 6*l(b). Determine h(-4).
13
Let v(s) = -s + 25. Let a be v(17). Let c(y) = 52*y + 2. Let i(m) = 62*m + 2. Let n(u) = 6*c(u) - 5*i(u). What is n(a)?
18
Let i(g) = g. Let h(t) = -t**2 - 7*t - 6. Let c(o) = o**2 + 8*o + 7. Let u(l) = 6*c(l) + 7*h(l). Let v = 1 + -1. Let p be u(v). Determine i(p).
0
Suppose 0 = -y - 5*n - 16, 5*n + 24 = 4. Suppose -2*t - y = -3*a, 0*a + 3*t = -3*a + 24. Let j be -2 + (-2)/a*-4. Let o(c) = -c - 7. What is o(j)?
-7
Let x = 194 - 131. Suppose -61*c = -4*o - x*c + 26, -5*c - 7 = 2*o. Let s(r) = r**2 - 11*r + 16. Give s(o).
-2
Let f(j) = 10*j**2 - 149*j + 74. Let o(l) = -7*l**2 + 105*l - 50. Let w(v) = -5*f(v) - 7*o(v). Calculate w(7).
1
Let i(r) = -136693 + 68279 + 68300 - 16*r. Calculate i(-7).
-2
Let m = 666 + -663. Let w(r) be the second derivative of -4/3*r**m - r + 1/20*r**5 + 0 + 4*r**2 - 5/12*r**4. Determine w(6).
-4
Let q be (-20 - 315)*(-9)/(-15). Let v = q - -195. Let u(k) = k**2 + 4*k. What is u(v)?
12
Let u = 243 + -53. Let i = 191 - u. Let g(k) = -9*k + 2. Give g(i).
-7
Let q be -2 - (-1 + (-7 - -4)). Let v(t) = 15*t - 11*t**2 + 4 - 16*t + 0*t**q. Let y(h) = -12*h**2 - h + 5. Let g(o) = -4*v(o) + 3*y(o). Calculate g(1).
8
Let c be (-130)/4*20/(-25). Suppose -177 - c = -7*b. Let y = b - 36. Let v(x) = -x**2 - 8*x + 3. Give v(y).
10
Let k(a) be the second derivative of a**3/6 - a**2/2 - 698*a. Calculate k(6).
5
Let k(t) = 4*t + 25. Let b be k(-7). Let j be (2 - 0)/(0 + 2/b). Let d(z) = 2*z**2 + 3*z - 4. Let g be d(j). Let u(y) = 2*y - 7. Give u(g).
3
Let y(o) = -11 - 17 + 2*o + 20*o + 3*o + 2*o. Let n(z) = -10*z + 10. Let h(j) = -8*n(j) - 3*y(j). Let g = -12 + 18. Calculate h(g).
-2
Let t(c) = 2*c**2 + 4*c + 18. Let v be t(9). Let g = 210 - v. Let s(a) be the first derivative of -a**3/3 - 3*a**2 + 8*a + 1. Calculate s(g).
8
Suppose 1261 + 1235 = 3*b. Let n be b/128 - (-2)/4. Let g(d) = d - 16. Calculate g(n).
-9
Let g be (-312)/(-546) - (-12)/(-21). Let z(q) = -q**3 - 3*q**2 + 5*q + 2. Give z(g).
2
Let x(p) = -p - 2 + 1 + 2*p. Suppose -76*a + 24 = -u - 81*a, u - 2*a = 4. Calculate x(u).
-5
Let n(p) = 3*p - 230. Let d be n(75). Let j(s) = s**3 + 7*s**2 + 8*s - 6. What is j(d)?
4
Let k(m) be the first derivative of -5*m**3 - m**2/2 + m + 6. Let s = -287 + 308. Suppose 6 = -15*z + s*z. Calculate k(z).
-15
Let l(b) = -b - 1. Let k(q) = q + 1. Let j(y) = -3*k(y) - 2*l(y). Suppose -4*z = a - 6, -2*a + 0*z = -z - 12. Let t be -7 + 10/(a - 4). Determine j(t).
1
Let w(u) = -106*u - 630. Let m be w(-6). Let j(r) = 3*r - 14. Calculate j(m).
4
Let l(f) be the second derivative of f**3/2 + 25*f**2/2 + 63*f - 5. Determine l(-26).
-53
Let g(n) be the first derivative of -n**3/3 + 53*n - 2163. What is g(-8)?
-11
Let z(c) be the third derivative of 0*c**3 + 0*c + 1/24*c**4 - 45*c**2 + 0. Determine z(8).
8
Let u(z) = 2177*z - 6518. Let s be u(3). Let r(g) = g**3 - 8*g**2 + 6*g - 17. Let c(t) = t**3 - 7*t**2 + 7*t - 18. Let l(k) = 5*c(k) - 6*r(k). Calculate l(s).
-1
Let a be 334/5 - 23/(-115). Let p(b) = 33*b - a*b + 32*b - 2. Give p(-3).
4
Suppose 0 = -2*d - 3*d + 15. Let f = 963 - 963. Suppose -2*j + d*j = f. Let a(t) = t**2 + t + 2. Determine a(j).
2
Let b = 2 - 5. Let v(t) be the second derivative of t**3 - 2*t**2 + 3533*t - 1. Give v(b).
-22
Let s(n) = -n + 4. Suppose -9*r + 2*l + 44 = -6*r, -5*r = -4*l - 76. Suppose 0 = -4*v - r, 2*u + 7*v - 2*v + 9 = 0. Give s(u).
1
Let d be 49/(-28) - (-65)/(-52). Let s(b) = 4*b + 5. Determine s(d).
-7
Suppose 810*y = 3*m + 811*y - 3, -12 = -m - 4*y. Let f(h) = -7*h + 5. What is f(m)?
5
Let n(v) = -11*v**2 + 14*v + 46. Let l(w) = 40*w**2 - 57*w - 182. Let u(r) = 3*l(r) + 11*n(r). Calculate u(-13).
12
Let j(b) = -b + 29. Suppose -3*v + 8*v = -10*v. Give j(v).
29
Suppose 5*r + 3*k = 6*k + 41, 3*r - 2*k = 25. Suppose -1047 + 567 = 24*f. Let u be r/(-3) + 3 + f/3. Let g(t) = t**2 + 8*t. What is g(u)?
-12
Let f(n) = n**3 - n**2 - 21*n - 10. Let j be (-94)/(-10) + 82/(-205) - 3. What is f(j)?
44
Let l = 34 + -22. Let u = l - 12. Let j(h) = 2*h + u*h + 3*h - 2 - 3 - h**2. What is j(6)?
-11
Let x(a) be the third derivative of a**6/120 + 23*a**5/60 + 7*a**4/4 - a**3/2 - 393*a**2. Calculate x(-21).
-3
Let p(l) = 4*l**2 - 4*l + 2. Suppose 4*r + 63 = 2*w - 47, 3*w + 5*r - 132 = 0. Suppose -w*d = -41*d - 16. Calculate p(d).
10
Let f(z) = -20*z - 176. Suppose -151 = 61*j + 21 + 377. Calculate f(j).
4
Let c(t) be the third derivative of t**4/6 - 11*t**3/6 - 1077*t**2. What is c(-9)?
-47
Let h(z) = -41*z**2 + 15*z + 6. Let m(t) = -74*t**2 + 28*t + 11. Let u(n) = -11*h(n) + 6*m(n). What is u(-2)?
22
Let n(f) be the first derivative of -f**3/3 - f**2 + 4*f - 1607. Give n(4).
-20
Let o(n) = -12*n + 449. Let m be o(36). Let l(u) = 7*u - 30*u + 9*u + 1 + m*u. Determine l(-1).
-2
Let c(d) = d**3 - 10*d**2 - d + 12. Let s be c(10). Suppose 24 = 2*y + 3*k - 3, -2 = -2*y + s*k. Let z(o) = -o**2 + 5*o - 6. Determine z(y).
-12
Let n(l) = 10*l + 372. Let b(o) = 11*o + 431. Let j(p) = 5*b(p) - 6*n(p). C | {
"pile_set_name": "DM Mathematics"
} |
= 10*g - 550. Suppose -4*q = -3*w + g, -3*w - 3*q - 36 = -6*w. Let r(o) = o**3 + 4*o**2 - 7*o - 7. Let x be r(-5). Solve -m + w = x*m for m.
2
Let q = 0 - -11. Suppose 17*c = 13*c - 28. Let f = q + c. Solve -f*v + 2 = -2 for v.
1
Let m(w) = 2*w - 11. Let h be m(8). Let s be h/(-2 - (-7 + 4)). Solve 0 = -j - s for j.
-5
Let k(z) = z**2 - 4*z - 6. Let i be k(-2). Let p be ((-10)/12)/5 + i/36. Solve 4*y = -p*y for y.
0
Suppose 12*v - 1 - 35 = 0. Suppose -g = v*g - 2*g. Solve g = 3*u + u - 8 for u.
2
Let x(s) = 12*s - 98. Let d be x(9). Solve k + 45 = d*k for k.
5
Let f = 214 + -212. Solve 3*k + 20 = -f*k for k.
-4
Let i = -111 - -113. Suppose 4*s + i - 18 = 0. Solve 23 = s*m + 3 for m.
5
Let a = -58 + 41. Let w = a - -27. Let c = -6 + 11. Solve 0*i = c*i + w for i.
-2
Let r(f) = 2*f**2 - 15*f + 17. Let p be r(9). Suppose 2*h = 5*l - p, 3*l - h - 10 = 2*l. Solve 3*c - l = 4 for c.
4
Suppose -12*m + 9*m = 5*r + 3, 2*r + 5*m = -5. Solve n + 2*n + 15 = r for n.
-5
Suppose 0 = -5*y + 23 + 37. Suppose -y = -3*k - 3*d, 5*k - 5*d + 4 = 2*k. Suppose -q + 1 = 4*o, 0*o + 4 = -k*o + 4*q. Solve o = b + b for b.
0
Let m be -1 - 8/((-16)/18). Suppose 4*x = 5*x - m. Solve 5*w + 7 = -x for w.
-3
Suppose 5*q + 14 = 2*a, -5*a + 57 = 5*q - 13. Suppose -3*p + 50 = -h - 4*h, a = p + 3*h. Let k be (-6 + 6 + -1)*(-3 + 1). Solve -p = k*b + b for b.
-5
Let p(n) = n**3 + 5*n**2 + 2*n - 6. Let b be p(-4). Suppose -5*a = b*a - 21. Solve 4 - 1 = a*c for c.
1
Let t be 4 - (-4)/(32/40). Solve 4 = -5*h + t for h.
1
Suppose -2*z + 21 + 15 = 4*i, -20 = -3*i + 2*z. Solve -3*r - 1 = i for r.
-3
Let g(c) = c**3 - c**2 - 6*c + 14. Let j be g(0). Solve 2*y + j = 6 for y.
-4
Suppose 0 = -22*n + 32*n. Solve n*a - 16 = 4*a for a.
-4
Let a(y) = -y**3 + 11*y**2 + 13*y - 12. Let l be a(12). Suppose 59*z - 56*z = l. Solve 0*r - 2*r - 6 = z for r.
-3
Let p(z) = z**3 + 10*z**2 - 8*z + 5. Let l be p(-10). Let w be 5/(-20) - l/(-4). Solve -w = 4*x - 1 for x.
-5
Let l be 210/42 - (-3 + 1)*-1. Solve -4 = -l*d - 19 for d.
-5
Let k be (-14)/6 + 2/6. Let o = 134 - 136. Let p be k*(0 - -2)/o. Solve p*d - 8 = -0*d for d.
4
Let u(n) = -468*n + 14510. Let m be u(31). Suppose 12 = -p + 37. Suppose -5*w + 5*j = -p, j = 3*w - 0*j - 5. Solve w = m*k + 2*k for k.
0
Let j(z) = 18*z - 9. Let y be j(-5). Let m = y - -102. Solve 2*x - m*x = 0 for x.
0
Suppose 144*g - 96 = 132*g. Solve -8*a + 4*a - g = 0 for a.
-2
Let v = 28 + -19. Suppose 0*z = -3*z - 18. Let p be 12/v*z/(-4). Solve 7 = a + p for a.
5
Let z be (3/5 - 1)/((-1)/10). Suppose z*j = 3*o - 33, -4*o + 0*j = j - 25. Solve 0 = 4*u - o - 5 for u.
3
Let a(o) = -19*o**2 - 2*o + 2. Let m be a(1). Let d = 29 + m. Solve 6 = -4*p - d for p.
-4
Let p be (-2 + 20)/2*2/2. Solve p = -28*l + 31*l for l.
3
Let m be (-2 - (-8)/5)*-5. Let v be m*(3 + -1 + 4). Solve -5*l = -l - v for l.
3
Suppose 0 = z + 2*k - 7, -2*z - 4*k + 2*k + 10 = 0. Solve -2*g - z = g for g.
-1
Let f(c) = 8*c + 538. Let o be f(-55). Solve 15*n = o - 23 for n.
5
Let v = -74 - -77. Suppose -16*u - v*u = -76. Solve 2 - 6 = -u*p for p.
1
Let j(g) = -g + 4. Let m be j(0). Suppose 0 = -k + 2*n + 4 - 6, 4*k + 5*n - 31 = 0. Solve -k*t - 12 = m for t.
-4
Let d = -17 - -21. Suppose 2*a + 88 = 4*v, a + d*a = -v. Let f = v + -12. Solve k + f = -k for k.
-4
Suppose -4*y = k - 85, -3*y + 10*k = 11*k - 63. Solve -26*j + y*j - 12 = 0 for j.
-3
Let c(a) = 4*a + 4 + a + 3 - 4*a. Let g be c(10). Let z = g - 17. Solve z = -5*n + 4*n - 2 for n.
-2
Let b(z) = -z**3 + 2. Let j be b(-2). Let l = j + -15. Let x = -4 - l. Solve -5*t = 4 + x for t.
-1
Let s(l) = l**3 - 3*l**2 + 7*l + 4. Let n be s(3). Suppose -n = 47*y - 52*y. Solve y + 10 = 5*k for k.
3
Suppose 0 = -4*x - x + 50. Suppose 2*i - 8 = k, 3*i + 4 = k + 15. Solve i*j - j - x = 0 for j.
5
Let k(a) = a**2 - 3*a. Let z be k(0). Suppose z = -4*d - 5*m + 16, 2*d + 3 - 11 = 4*m. Solve 0 = h - 0*h + d for h.
-4
Let y be (-46 - -52) + 4 + -2. Solve -y*x = -21 - 11 for x.
4
Let l(u) = -9*u + 18. Let k be l(2). Let p be (k - (-15)/(-20))/(1/(-4)). Solve 2*b - p = 3*b for b.
-3
Let o = -513 + 522. Solve o*b = 13*b for b.
0
Suppose -2*x = -x. Suppose x = -3*p + 5*m + 2, -p - m + 10 = p. Let h be 4*1/p*20. Solve -5*k + h = -k for k.
5
Let r be (-6)/9 - (-42)/9. Let c be (-64)/(-6) - 10 - 7/(-3). Solve 8 = -c*h - r for h.
-4
Let h(b) be the second derivative of -6*b + 1/6*b**4 - 1/20*b**5 - 1/6*b**3 + 0 + 0*b**2. Let t be h(1). Solve -3*c = -t*c for c.
0
Let k(u) = u**2 + 9*u + 7. Let a be k(-9). Let v = a + -1. Suppose -v*q = 4*o - 4*q - 8, 0 = -4*o + 2*q + 8. Solve o*l + 3 = 3*l for l.
3
Let b be ((-64)/20 + 2)/((-1)/5). Suppose -b*x - 13 = -25. Solve x*z = -z - 9 for z.
-3
Let u = 4 + -2. Suppose -q - 19 + 22 = 0. Suppose -4*d + 3*p = -19, -q*p = 4*d - 0*p + 11. Solve u*l + 7 = -d for l.
-4
Let h = 268 + -265. Solve 0 = h*r + 4*r for r.
0
Let n = 8 - 5. Let c be (-44)/3*12/8. Let i = 29 + c. Solve -i = s - n for s.
-4
Suppose 0*r - 34 = 2*r. Suppose -73 = -5*c + 2*x + 30, 0 = -4*x - 16. Let t = r + c. Solve -u - 1 = t for u.
-3
Suppose 9*o - 19 - 53 = 0. Let z = o - 7. Solve -z + 6 = -5*m for m.
-1
Let m(q) = -q - 1. Let i be m(-3). Suppose p - b = 36, 3*p = 5*b + 79 + 35. Let z = p - 33. Solve -i*w + 1 + 1 = z for w.
1
Let y be 5 + 1 + -1 - (-9)/(-3). Solve 0 = -3*v + y*v for v.
0
Let z be (28/(-8))/(-7)*4 + 1. Let u be (z - ((-12)/(-4) + -2))/1. Solve -u*y + 3*y - 4 = 0 for y.
4
Let f be 4/16 + 0 + (-22)/(-8). Let z(d) = d**3 - d**2 - 7*d + 5. Let m be z(f). Solve 8 = -m*o + 2 for o.
-3
Suppose -l = t - 5, -4*l - 19 = -5*t - 3*l. Suppose -2*n - t*n = -24. Solve 0 = -n*y - 0*y + 8 for y.
2
Let c(p) = 12*p**2 + p**3 - 14*p + 3 - 28 + 16. Let m be c(-13). Solve -12 = -m*h + 8 for h.
5
Let y be -1 + (-2)/(-2) - (0 + 1). Let t be 37/7 - ((-54)/(-42) + y). Solve 2*d = t + 1 for d.
3
Let d be 66/4 + (-4)/8. Suppose 0 = -4*u - 4 + d. Suppose 7*m - 2*m = 7*m. Solve -u*p - 20 + 8 = m for p.
-4
Let k(r) = -5*r**2 - 18*r - 2. Let b be k(-3). Let d(a) = -8 - 3 + 2*a + a. Let c be d(b). Solve 0 = -3*v - 2 - c for v.
-4
Suppose -5*w - h + 44 = 0, -5*h + 0*h + 20 = 0. Let u be w/(-10)*150/(-20) - 2. Solve -m - u = m for m.
-2
Let u = -782 - -811. Solve -k = -u + 26 for k.
3
Let b = 2211 - 2209. Let c(r) = 2*r - 1. Let j be c(3). Solve -3 = b*s + j for s.
-4
Suppose 7*g - 2*g = 0. Suppose -10 + g = -5*p. Solve 4*z - 14 = -p for z.
3
Let k(r) = -r**3 + 8*r**2 + 6*r - 3. Let n be k(-1). Solve -2 = -2*v - n for v.
1
Suppose 0 = -2*z + o + 4, 10 = 5*z + 24*o - 19*o. Solve -z - 1 = h for h.
-3
Let k be 44/3 - (-18)/54. Let s(n) = -15*n + 1. Let y be s(1). Let x = y + k. Solve 4*u - 5*u = -x for u.
1
Let h(s) = -s**3 + 5*s**2 + 9*s - 11. Let r be h(6). Solve 8*k - r = k for k.
1
Suppose 13*k + 5 = 14*k. Suppose 5*w - 2*d = -4, 0 = -k*d - 3 + 13. Solve w = -3*n + n for n.
0
Let i(k) = -3*k**2 + 27*k + 36. Let r be i(10). Solve -9 = -r*n + 15 for n.
4
Let r be 6/10 - (-784)/35. Let t = 27 - r. Suppose -9 = 3*v - 48. Solve -t*d + 3 + v = 0 for d.
4
Suppose -30*i = -11*i. Suppose -3*x + 0*x + 41 = -2*j, -3*j + 66 = 4*x. Solve i = -v + 4*v + x for v.
-5
Suppose 2*a - 6 = -0*a. Suppose 0 = -3*r - 15, a*v - 3*r - 23 = 1. Suppose 4*s + v*l + 4 = -0*l, -s = -4*l - 18. Solve s*g + g = 0 for g.
0
Let d(x) = 2*x**2 + 4*x + 2. Let w be d(-2). Suppose 2*y = 5*a - 5, w*y - 11 + 4 = a. Suppose 2*s = y*s - 6. Solve 0 = -s*h - 3*h for h.
0
Let t be (-3)/3*(0 - 3) + 1. Let s be t*(5/(-15))/(1/(-3)). Solve -s*n = n + 5 for n.
-1
Let f be 2 + -4 + 3 + -3. Let b(i) = -i**2 + 6*i + 7. Let s be b(-5). Let h be ((-1)/f)/((-3)/s). Solve h = t + t for t.
4
Suppose -g - 5*j = -26, -3*g + 0*j - 4*j + 111 = 0. Suppose -3*n = h + 67, -4*n + 108 + g = -3*h. Let f be (-88)/h - 4/(-10). Solve 4*s = -2 - f for s.
-1
Suppose -2*g + 2*a - 130 = -6*g, -25 = -g + a. Suppose -5*r + 25 = i - 2*i, 5*r - 2*i = g. Suppose 28 = 4*s - r*j, s - 10 = 3*j + 1. Solve -s*q + 12 = -q for q.
3
Let u(d) = 4 + d**2 + 2*d + 3*d - 2*d + 0*d**2. Let g be u(-3). Solve 3*a - g*a = 0 for a.
0
Suppose -8*q = -13*q + 25. Suppose -d + d - q*d = 0. Solve -3*c + d = -15 for c.
5
Let v(g) = g**2 - 29*g - 52. Let l be v(31). Solve -7*x - l = -3 for x.
-1
Let q be 7*(-2 - 126/(-49)). Solve -16 = 3*p - q for p.
-4
Let g = 40 - 32. Solve -4 = -2*v - g for v. | {
"pile_set_name": "DM Mathematics"
} |
.
-7296/1541
Divide 269325150 by 4.
134662575/2
What is -19135120 divided by 80?
-239189
What is -9968904 divided by 60786?
-164
Calculate -125278643 divided by -4.
125278643/4
Calculate 8003233 divided by 7.
1143319
Calculate -5 divided by 741937.
-5/741937
What is -12307 divided by -35353?
12307/35353
What is -1505690700 divided by -4?
376422675
Divide 4390662 by -4390662.
-1
3091869 divided by 99
31231
Divide -5093296 by -5093296.
1
Divide 16377664 by 32.
511802
-10965275 divided by 2193055
-5
-149081658 divided by -1517
98274
Divide 5220268 by 7.
5220268/7
-5 divided by -72547179
5/72547179
Calculate 698763 divided by -49.
-698763/49
Calculate 226257800 divided by -4.
-56564450
-5580830142 divided by -6
930138357
Divide -10419092 by -113251.
92
Divide -190531435 by 5.
-38106287
Divide 47595110 by -23797555.
-2
0 divided by 5127737
0
-2 divided by -1023772
1/511886
-135 divided by 153897
-45/51299
Divide 4488498 by -249361.
-18
What is -4122 divided by -9496?
2061/4748
-3193463464 divided by -4
798365866
Calculate -367197 divided by -5.
367197/5
Calculate 2 divided by -124236340.
-1/62118170
Divide -4753 by -248.
4753/248
What is 446856 divided by 57?
148952/19
Divide -652188262 by 89.
-7327958
Divide 11520930 by 8490.
1357
Calculate 4277 divided by -117.
-329/9
Calculate -7891848 divided by -6.
1315308
62 divided by -31548
-31/15774
Calculate -386736655 divided by -77347331.
5
Calculate -281286 divided by -1386.
15627/77
Calculate 5 divided by -2724537.
-5/2724537
5 divided by 1594897
5/1594897
What is -36867004 divided by 2?
-18433502
Calculate -8 divided by -3531351.
8/3531351
What is -3152 divided by -2332?
788/583
Calculate 4936839 divided by 4936839.
1
What is -6924 divided by 1193?
-6924/1193
Divide -471 by -85776.
157/28592
Calculate 26 divided by -2749479.
-26/2749479
What is 70827576 divided by 804?
88094
What is 3433 divided by 16688?
3433/16688
-1 divided by -19932843
1/19932843
What is -17833 divided by -1704?
17833/1704
-4 divided by -2488439
4/2488439
What is 446 divided by -1566922?
-223/783461
Calculate 18 divided by -369100.
-9/184550
What is -101468 divided by 805?
-101468/805
What is 13 divided by -2102566?
-13/2102566
What is 2857288 divided by -12?
-714322/3
Divide 47966960 by -183080.
-262
Divide 419 by 2138.
419/2138
Divide -196309915 by -4.
196309915/4
-22180444 divided by 143
-155108
Divide -29230533 by 9.
-3247837
-401305326 divided by -9332682
43
Calculate 5 divided by -238210523.
-5/238210523
-14845056 divided by -6432
2308
Calculate -42925404 divided by -10731351.
4
3143688 divided by 325
3143688/325
Calculate -41505178 divided by -242.
171509
Divide -77363730 by -30.
2578791
Calculate 0 divided by 1253261.
0
What is 13098692 divided by -3274673?
-4
Calculate -123026 divided by -449.
274
What is -1546 divided by -5589?
1546/5589
Divide -768 by -2059.
768/2059
113243754 divided by -39239
-2886
-67605498 divided by -3
22535166
What is -3987471 divided by 16?
-3987471/16
12456022 divided by 1
12456022
What is -291 divided by -313974?
97/104658
Calculate -45077792 divided by -6712.
6716
Calculate 3782700 divided by -84060.
-45
171472245 divided by -1065045
-161
-1 divided by -8047415
1/8047415
Divide 109240559 by -5.
-109240559/5
298628320 divided by 18664270
16
Calculate 35289826 divided by 2.
17644913
-408072664 divided by 102018166
-4
Divide 116523792 by 2079.
56048
-731085234 divided by -6
121847539
46071420 divided by -3
-15357140
-751753872 divided by 18
-41764104
What is 34859 divided by 924?
3169/84
-118834958 divided by -359018
331
Divide -1197 by 5156.
-1197/5156
What is 59958 divided by -55?
-59958/55
-57761028 divided by 370263
-156
What is 8979872 divided by 816352?
11
Divide 1175225 by 7.
1175225/7
Calculate 4 divided by 2733386.
2/1366693
Divide -29557 by 152.
-29557/152
What is -25495872 divided by -55912?
456
What is -47187520 divided by -5?
9437504
Calculate -4255 divided by -6046.
4255/6046
Divide 203109075 by 208317.
975
What is 5 divided by -615545?
-1/123109
What is 14864041 divided by 1?
14864041
What is -18991233 divided by -1?
18991233
Divide 10591753 by 460511.
23
Calculate 1457 divided by -2729.
-1457/2729
Calculate -22665583 divided by -1.
22665583
Calculate 346427704 divided by -56.
-6186209
Divide 41173160 by -10.
-4117316
What is -13 divided by -545673?
13/545673
-1 divided by 481155
-1/481155
388364 divided by 158
2458
Divide -45225928 by -4.
11306482
-158493468 divided by -26415578
6
Calculate -131978 divided by 2700.
-65989/1350
What is 681 divided by -24234?
-227/8078
What is -8484240 divided by 870?
-9752
Calculate 172590489 divided by -6.
-57530163/2
Calculate -59 divided by 4448.
-59/4448
Divide -23671596 by 11835798.
-2
Calculate 12823960 divided by -2092.
-6130
Divide 16854 by -24.
-2809/4
Divide -118 by 1115719.
-118/1115719
1585 divided by -66472
-1585/66472
What is -12148884 divided by -2?
6074442
-33707 divided by -2829
33707/2829
What is 0 divided by -4589620?
0
Calculate -166201258 divided by -1.
166201258
What is -304304058 divided by -2097?
145114
What is -7 divided by -850834?
7/850834
Calculate 921 divided by -16528.
-921/16528
What is -329 divided by 2097856?
-329/2097856
Calculate 541756 divided by 4369.
124
12388572 divided by 2
6194286
Divide -306015173 by 2459.
-124447
What is -86 divided by -53612?
43/26806
Calculate 21033845 divided by -4206769.
-5
-294964670 divided by 14
-21068905
Divide -180305440 by 6412.
-28120
Calculate 20512188 divided by -18.
-1139566
Calculate -218898790 divided by 4.
-109449395/2
What is -3689 divided by 25100?
-3689/25100
What is 40 divided by 569889?
40/569889
Calculate -35617354 divided by -2.
17808677
Divide 6851871 by -9.
-761319
What is -161994798 divided by -798?
203001
Divide -139355216 by 11752.
-11858
-1 divided by 1499929
-1/1499929
Divide -3580507 by -511501.
7
What is 8 divided by -989072?
-1/123634
352 divided by -360098
-176/180049
-7 divided by -513160
7/513160
Divide 17343007 by -39149.
-443
What is 47440 divided by 2209?
47440/2209
Divide 3210720 by -4.
-802680
19473191 divided by 19473191
1
29 divided by 2786553
29/2786553
Calculate 18490560 divided by 543840.
34
Calculate -43878323 divided by 1.
-43878323
Calculate -52052 divided by -499.
52052/499
Divide 5764425 by -2545.
-2265
What is -240909 divided by -296?
240909/296
-10 divided by -1923403
10/1923403
What is -1205056 divided by -150632?
8
Divide 5840 by -2398.
-2920/1199
-18956489 divided by -1
18956489
Calculate -6313893 divided by 6.
-2104631/2
What is 468897 divided by 58?
468897/58
-14310312 divided by -41
349032
-408705 divided by 12385
-33
Calculate -127427658 divided by -3.
42475886
What is -67446145 divided by -24131?
2795
What is 1738080 divided by 272?
6390
Divide -16229780 by -490.
33122
Calculate 82986 divided by 676.
41493/338
Calculate 0 divided by -2730393.
0
Calculate 6288 divided by -84552.
-262/3523
Divide 18955728 by 2.
9477864
What is 1096715 divided by -98?
-1096715/98
Divide -4 by 2082761.
-4/2082761
What is -189 divided by 54995?
-189/54995
103300 divided by -4132
-25
Calculate -490040 divided by -30.
49004/3
Divide -13275 by 199.
-13275/199
-63939 divided by 4066
-63939/4066
-861072 divided by -17
861072/17
41003174 divided by -1
-41003174
Calculate -1366265 divided by -8.
1366265/8
What is 33428531 divided by 5?
33428531/5
What is 860697135 divided by -5?
-172139427
What is -4293897 divided by 2?
-4293897/2
281541 divided by 59
281541/59
4 divided by -1991090
-2/995545
Calculate 5149 divided by -2218.
-5149/2218
Divide 4010874 by 22533.
178
76032348 divided by -905147
-84
What is 94 divided by 210286?
47/105143
Divide 5110 by 25906.
2555/12953
Calculate 2153 divided by -3046.
-2153/3046
Divide -6702736 by -1.
6702736
What is -46312000 divided by 5600?
-8270
What is 327117944 divided by -3748?
-87278
What is -94995676 divided by -286996?
331
Calculate 440 divided by 11683.
440/11683
78404114 divided by -85037
-922
What is 18671 divided by -32?
-18671/32
Divide 116707100 by -2334142.
-50
What is -27627520 divided by 12160?
-2272
What is 30504 divided by -1549?
-30504/1549
-49334280 divided by -9866856
5
Divide -5451648 by -32.
170364
What is -378875412 divided by 2?
-189437706
Calculate -641338200 divided by -213779400.
3
Calcula | {
"pile_set_name": "DM Mathematics"
} |
ree letters picked without replacement from neeenneeeneen. Give prob of sequence een.
70/429
Two letters picked without replacement from {h: 1, d: 1, l: 2, m: 2, k: 2, x: 1}. What is prob of sequence mh?
1/36
Two letters picked without replacement from btonnoohhhhnhaonnoa. What is prob of sequence on?
25/342
Calculate prob of sequence ci when two letters picked without replacement from cccccccccccci.
1/13
Three letters picked without replacement from {i: 6, j: 4, f: 5}. What is prob of sequence jji?
12/455
What is prob of sequence ccj when three letters picked without replacement from {c: 3, j: 11}?
11/364
Two letters picked without replacement from ppmbmpppbpimppxxbbpm. What is prob of sequence ix?
1/190
Calculate prob of sequence gvzs when four letters picked without replacement from sgzov.
1/120
Four letters picked without replacement from {r: 1, m: 2, e: 4, y: 2}. What is prob of sequence remy?
1/189
Two letters picked without replacement from yyhdh. What is prob of sequence yy?
1/10
What is prob of sequence egxe when four letters picked without replacement from egxexxxgxxggxxegg?
3/595
Calculate prob of sequence rb when two letters picked without replacement from {k: 1, j: 1, r: 1, b: 2}.
1/10
Calculate prob of sequence el when two letters picked without replacement from {b: 4, z: 1, l: 1, n: 1, a: 3, e: 2}.
1/66
What is prob of sequence wf when two letters picked without replacement from {v: 2, f: 2, w: 1}?
1/10
What is prob of sequence odd when three letters picked without replacement from oooodooddooo?
9/220
Calculate prob of sequence fnn when three letters picked without replacement from fnpnpyddnp.
1/120
Four letters picked without replacement from {o: 5, g: 1, y: 1, l: 5}. Give prob of sequence loog.
5/594
Calculate prob of sequence ycdc when four letters picked without replacement from {e: 5, d: 2, c: 6, q: 1, y: 1}.
1/546
Three letters picked without replacement from {v: 2, t: 4, p: 7}. What is prob of sequence pvv?
7/858
Calculate prob of sequence brr when three letters picked without replacement from {b: 11, r: 3}.
11/364
What is prob of sequence ss when two letters picked without replacement from {b: 2, s: 3}?
3/10
Two letters picked without replacement from {i: 6, z: 4, p: 3, x: 2}. Give prob of sequence zp.
2/35
Calculate prob of sequence ffvf when four letters picked without replacement from fffvfvv.
3/35
What is prob of sequence ccc when three letters picked without replacement from ckkkckkjjkck?
1/220
Three letters picked without replacement from qvmyvymqqmyddyyyqv. What is prob of sequence qvv?
1/204
Four letters picked without replacement from {a: 3, s: 2, z: 3}. What is prob of sequence zzzs?
1/140
What is prob of sequence xox when three letters picked without replacement from otvvvvooxtvoxxvvv?
1/170
Four letters picked without replacement from keezeezzkzzzze. Give prob of sequence zeez.
5/143
What is prob of sequence ee when two letters picked without replacement from eeeleeleeeeeeeeeee?
40/51
Four letters picked without replacement from {e: 2, c: 1, f: 2, h: 6}. Give prob of sequence fecf.
1/1980
What is prob of sequence ffm when three letters picked without replacement from xfxqxffxmhffxfmfmfmf?
4/95
What is prob of sequence bbbb when four letters picked without replacement from {b: 13, a: 5}?
143/612
Four letters picked without replacement from {s: 5, w: 3}. Give prob of sequence wssw.
1/14
Calculate prob of sequence tti when three letters picked without replacement from iiitttiiitititititti.
11/95
Three letters picked without replacement from {r: 4, h: 1, x: 2, e: 1, g: 1}. What is prob of sequence hrx?
1/63
Calculate prob of sequence sisi when four letters picked without replacement from csscissccicc.
1/495
What is prob of sequence wmvv when four letters picked without replacement from miaiiowivivvv?
1/1430
Calculate prob of sequence ltwj when four letters picked without replacement from {n: 1, a: 1, j: 1, t: 1, w: 2, l: 1}.
1/420
What is prob of sequence aa when two letters picked without replacement from {a: 3, h: 4, t: 5}?
1/22
Four letters picked without replacement from {o: 4, i: 3}. What is prob of sequence ooio?
3/35
Three letters picked without replacement from lllllllllglllllllgl. Give prob of sequence glg.
1/171
Four letters picked without replacement from {b: 3, j: 10, x: 2, h: 3, w: 1}. What is prob of sequence bjhh?
5/2584
Three letters picked without replacement from {n: 10, z: 6, m: 1}. Give prob of sequence mnn.
3/136
Two letters picked without replacement from {v: 2, r: 4, w: 1, b: 2, k: 3}. What is prob of sequence kr?
1/11
What is prob of sequence slc when three letters picked without replacement from sssclulccclllcsslc?
5/136
Three letters picked without replacement from {s: 2, x: 1, f: 5, z: 8}. Give prob of sequence zxz.
1/60
Two letters picked without replacement from wgkfsrwg. What is prob of sequence gk?
1/28
Calculate prob of sequence rz when two letters picked without replacement from nevrnzztznvzrtttrrzn.
1/19
Four letters picked without replacement from iiiiiiiiibbizbbbbibi. What is prob of sequence ziii?
11/969
Four letters picked without replacement from {n: 1, w: 3, o: 3, h: 6}. What is prob of sequence hwwo?
9/1430
What is prob of sequence oswo when four letters picked without replacement from ssowssoowsos?
2/165
Calculate prob of sequence ette when four letters picked without replacement from ette.
1/6
Calculate prob of sequence aee when three letters picked without replacement from aeaavvaeeeeaeeaee.
9/85
Two letters picked without replacement from favsiafsaas. Give prob of sequence vf.
1/55
Calculate prob of sequence sshs when four letters picked without replacement from {h: 4, g: 9, s: 6}.
5/969
Four letters picked without replacement from juujjjjujjjjobj. Give prob of sequence ouub.
1/5460
Three letters picked without replacement from {c: 9, z: 3}. Give prob of sequence zcc.
9/55
What is prob of sequence df when two letters picked without replacement from gfdzfddd?
1/7
Calculate prob of sequence jnk when three letters picked without replacement from hknhkjhhbhhk.
1/440
Two letters picked without replacement from {h: 4, y: 3, a: 1, u: 6, i: 2}. Give prob of sequence yh.
1/20
What is prob of sequence qgz when three letters picked without replacement from baaaagzqbgqq?
1/220
Three letters picked without replacement from {f: 7}. Give prob of sequence fff.
1
Three letters picked without replacement from {w: 3, u: 6, p: 4}. What is prob of sequence puu?
10/143
Four letters picked without replacement from yppzppzypyppy. What is prob of sequence yppz?
14/715
Four letters picked without replacement from {v: 5, i: 2}. What is prob of sequence vvvi?
1/7
Calculate prob of sequence rbbb when four letters picked without replacement from bbrbrbbrbbb.
7/55
Four letters picked without replacement from axaaagagaggaax. What is prob of sequence agax?
8/429
What is prob of sequence odjp when four letters picked without replacement from jjoaaaaadcjdajpd?
1/3640
Two letters picked without replacement from blzboozloll. What is prob of sequence bb?
1/55
Calculate prob of sequence krk when three letters picked without replacement from kkrkkkkkkkkkkkk.
1/15
Four letters picked without replacement from ijjoeny. Give prob of sequence ijej.
1/420
Two letters picked without replacement from {g: 1, k: 4, e: 3, o: 1, c: 5}. Give prob of sequence ok.
2/91
Two letters picked without replacement from uzdozuuzzuu. Give prob of sequence zz.
6/55
Two letters picked without replacement from {u: 3, o: 9}. Give prob of sequence uo.
9/44
Three letters picked without replacement from {h: 4, k: 2, f: 2}. What is prob of sequence khh?
1/14
Four letters picked without replacement from {z: 12, p: 3}. Give prob of sequence zpzp.
11/455
What is prob of sequence nnp when three letters picked without replacement from npnpaa?
1/30
Four letters picked without replacement from oenenneeeesceenns. Give prob of sequence ncos.
1/5712
What is prob of sequence glg when three letters picked without replacement from gglgllgllg?
5/36
What is prob of sequence cct when three letters picked without replacement from cccccctcctccccccccct?
34/285
What is prob of sequence gcrk when four letters picked without replacement from {g: 4, c: 1, q | {
"pile_set_name": "DM Mathematics"
} |
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