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d (0 + 0 + m)*(24*m - 496*m**3 - 9*m + 498*m**3) + 2*m**4 - 5*m**4 + 2*m**4.
m**4 + 15*m**2
Expand (2*t - 2*t - 2*t)*(-21*t - 2 + 6 - 5).
42*t**2 + 2*t
Expand 0*h**4 - 4*h**4 - 4*h**4 + (-4*h - h + 4*h)*(2*h**3 - 2*h**3 - 2*h**3).
-6*h**4
Expand (0 + u**3 + 0)*(-2*u - u - u + (-1 + 1 - 3)*(2*u - 2*u + u)).
-7*u**4
Expand (v + 0*v - 2*v)*(-2 + 2 + 2 + (-5 + 0 + 3)*(1 - 2 + 2) - 1 + 4 - 2) + v + 4*v - 3*v.
v
Expand (3 - 4 + 0)*(3*x**5 + 0*x**5 - 5*x**5) + 3*x**5 - 2*x**5 + 0*x**5 + 5*x**5 - x**5 - 2*x**5 - x**2 + 3*x**5 - x**2 - 5*x**5.
3*x**5 - 2*x**2
Expand n**2 - 5*n**2 + 2*n**2 + (-3 + n**2 + 3)*(3 - 4 - 2 + (-2 + 2 + 2)*(-1 + 7 + 3)).
13*n**2
Expand -3*g - 3*g + 4*g + (2 + 2 - 1)*(g + 3*g - 3*g) + (4 - 1 - 5)*(g + 2 - 2).
-g
Expand (0*y + 0*y + 2*y)*(y - 2 + 0 - 3*y).
-4*y**2 - 4*y
Expand -t**2 + 2*t**3 + 1 - 1 + 7*t**3 - 2*t**3 - t**3 + (-3*t - t**2 + 3*t)*(2*t - t - 3*t).
8*t**3 - t**2
Expand (-1 + 1 - 2)*(14*o + 2*o + o)*(-2*o**4 - 1 + 1).
68*o**5
Expand ((3*p + p - 3*p)*(1 + 0 + 1) + 5*p - 8*p + 4*p)*(-2*p**3 - p**3 + 5*p**3)*(3*p - 2*p - 2*p).
-6*p**5
Expand (4*u - 3*u - 3*u)*((-2 + 2 - 2)*(-3*u + 3*u + u) - 20 + 20 + 10*u)*(-3 + 3 + u).
-16*u**3
Expand (1 - 1 - 2*j)*(-1 + 6 - 3) - j + 3*j + 2 - 4*j.
-6*j + 2
Expand (-2*j + 2*j + 4*j)*(-2 - 4 + 4)*(-j**2 - 3*j**2 + 8*j**2).
-32*j**3
Expand (4 - 1 - 4)*(-1 - 1 + 4)*(-6 - 2*q**2 + 1 + 8).
4*q**2 - 6
Expand (-3*x**2 + x**2 + 4*x**2 + 3*x - 3*x - x**2 + (5*x - x - 2*x)*(-4 + 4 + 2*x) - 3*x**2 - x**2 + 5*x**2)*(-x**2 - 3*x**2 - x**2).
-30*x**4
Expand -4*o**3 + 4*o**3 + o - 2*o**3 + (8 + o - 8)*(o**2 - 4*o + 4*o).
-o**3 + o
Expand (4 + 2 + u**2 - 8)*(-6*u + 6*u - 3*u**2).
-3*u**4 + 6*u**2
Expand 1 - 1 - o**4 - 3*o**4 + 0*o**4 + o**4 + (o**4 + 1 - 1)*(-3 + 5 - 4) + 2 + 2*o**4 - 2 - 2*o**4 - o**4 + 4*o**4 + 27*o**3 + 6*o**4 - 27*o**3.
4*o**4
Expand (2*b + 0*b + 0*b)*(5*b**2 + 4*b**2 - 2*b**2) + (-3*b + 4*b - 2*b)*(b**2 + 2 - 2) + 1 - 1 + 2*b**3.
15*b**3
Expand (-1 + 1 - 3*g)*(-2*g**2 - 2 + 3 + 6*g**2).
-12*g**3 - 3*g
Expand -7*r**4 + 2*r**4 - r**4 + (-r**3 + 0*r**3 - r**3)*(-3*r - 2*r + 6*r) + 3*r**4 + r**4 - 3*r**4 + (3*r - 5*r + r)*(-2*r**3 + 0*r**3 + 0*r**3).
-5*r**4
Expand (-4 + 4 + 2)*(2*o - 5*o + 5*o)*(21 + 7*o**2 - 21).
28*o**3
Expand (1 - 2*q**2 - 1)*(-171 + 171 - 89*q).
178*q**3
Expand 3*g - 3*g + g**2 + (-3 + 3 - g)*(-g - g + 3*g) + 3*g**2 - 2*g**2 - 2*g**2 + 0*g**2 - 3*g**2 + 5*g**2 + 4*g**2 + 5*g - 5*g.
5*g**2
Expand 2*c**2 + c**2 - c**2 - c**2 - 3*c**2 + 2*c**2 + (c + c + 0*c)*(2*c - c + c) + c**2 - 5*c**2 + 3*c**2.
3*c**2
Expand (-44 - 57 - 2*h + 33)*(2 - 2 + 1).
-2*h - 68
Expand (d - 3*d + d)*(-4 - 2 + 7)*(3*d + 7*d - 13*d)*(-2*d**2 + 3*d - 3*d).
-6*d**4
Expand (-2*b + 5*b - 5*b)*(2*b**4 + 3*b**4 - 8*b**4).
6*b**5
Expand (-2*r**2 + 2*r**3 + 2*r**2)*(5*r**2 + 0 + 0) - r**5 - r**4 + 0*r**4 + 0*r**5.
9*r**5 - r**4
Expand (-2*k + 5*k + k + (-2 - 2 - 1)*(2 + k - 2))*(-2 - 2 + 3).
k
Expand (-1 - 1 + 4)*(4*s**5 + 5*s**5 + 0*s**5 + (s**2 - s**2 - 2*s**3)*(-2 + s**2 + 2) + s**5 - 3*s**2 + 3*s**2 + s**5 - 3*s**5 - s**5 - 3 + 2*s**5 + 3).
14*s**5
Expand (2*u - 3*u + 0*u)*(-1 + 0 - 1).
2*u
Expand (0*k + k**2 + 0*k)*(0*k + 0*k + 2*k) - 10*k + 10*k + k**3 + (k + 2*k - 5*k)*(k**2 - 2*k**2 + 2*k**2) + k**3 + 0*k**3 + k**3.
3*k**3
Expand 7*d - d + 2*d + (-2*d + 3 - 3)*(-1 + 1 + 2) + (-6 + 6 - 5*d)*(2 + 2 - 3).
-d
Expand (4 + v + 2 + 0*v)*(3 - 3 + 6*v**3).
6*v**4 + 36*v**3
Expand (-2 + 2*s + 2 + 0 + 0 - 2*s + (-2*s + 3 - 3)*(-3 + 2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
is the units digit of 470562?
2
What is the tens digit of 14648514?
1
What is the thousands digit of 518478?
8
What is the hundred thousands digit of 638279?
6
What is the hundreds digit of 972699?
6
What is the millions digit of 1122794?
1
What is the thousands digit of 302809?
2
What is the thousands digit of 3721054?
1
What is the millions digit of 7885448?
7
What is the units digit of 434497?
7
What is the ten thousands digit of 1337164?
3
What is the ten thousands digit of 41243?
4
What is the tens digit of 1060882?
8
What is the units digit of 68270?
0
What is the hundred thousands digit of 119486?
1
What is the tens digit of 401205?
0
What is the hundreds digit of 290834?
8
What is the hundred thousands digit of 8768937?
7
What is the tens digit of 107685?
8
What is the hundred thousands digit of 125851?
1
What is the ten thousands digit of 17755?
1
What is the hundreds digit of 3067482?
4
What is the hundreds digit of 19975061?
0
What is the millions digit of 4505655?
4
What is the units digit of 5327099?
9
What is the millions digit of 3857483?
3
What is the hundreds digit of 338418?
4
What is the hundred thousands digit of 175753?
1
What is the thousands digit of 2138551?
8
What is the units digit of 6260?
0
What is the thousands digit of 484374?
4
What is the thousands digit of 12311817?
1
What is the hundreds digit of 126397?
3
What is the hundreds digit of 23053?
0
What is the units digit of 422308?
8
What is the thousands digit of 2790760?
0
What is the tens digit of 149654?
5
What is the ten millions digit of 12030238?
1
What is the ten thousands digit of 14036484?
3
What is the tens digit of 393612?
1
What is the units digit of 5512121?
1
What is the hundreds digit of 60217?
2
What is the millions digit of 1844557?
1
What is the thousands digit of 438927?
8
What is the tens digit of 1249702?
0
What is the tens digit of 546477?
7
What is the hundred thousands digit of 215806?
2
What is the units digit of 6315893?
3
What is the ten thousands digit of 21583952?
8
What is the hundred thousands digit of 9426537?
4
What is the hundreds digit of 8748489?
4
What is the ten thousands digit of 1026356?
2
What is the units digit of 138138?
8
What is the hundred thousands digit of 1373362?
3
What is the ten thousands digit of 428103?
2
What is the ten thousands digit of 1991264?
9
What is the thousands digit of 79796?
9
What is the units digit of 112928?
8
What is the hundreds digit of 1784257?
2
What is the hundred thousands digit of 116605?
1
What is the tens digit of 285895?
9
What is the millions digit of 10123689?
0
What is the ten thousands digit of 29961?
2
What is the hundred thousands digit of 1587721?
5
What is the ten thousands digit of 738068?
3
What is the hundreds digit of 7768717?
7
What is the ten thousands digit of 796641?
9
What is the hundreds digit of 1444003?
0
What is the hundreds digit of 324519?
5
What is the hundreds digit of 2233149?
1
What is the hundred thousands digit of 1106678?
1
What is the thousands digit of 235892?
5
What is the thousands digit of 18849391?
9
What is the thousands digit of 2352805?
2
What is the ten thousands digit of 139139?
3
What is the units digit of 4388270?
0
What is the units digit of 423450?
0
What is the units digit of 3831724?
4
What is the ten thousands digit of 61250?
6
What is the units digit of 13939511?
1
What is the hundred thousands digit of 107527?
1
What is the millions digit of 32273096?
2
What is the thousands digit of 452193?
2
What is the hundreds digit of 1094748?
7
What is the ten millions digit of 13381106?
1
What is the thousands digit of 415749?
5
What is the tens digit of 199303?
0
What is the hundred thousands digit of 937818?
9
What is the millions digit of 8985038?
8
What is the hundred thousands digit of 213110?
2
What is the ten thousands digit of 528736?
2
What is the tens digit of 293981?
8
What is the units digit of 872672?
2
What is the hundred thousands digit of 438797?
4
What is the ten thousands digit of 30873272?
7
What is the hundreds digit of 349434?
4
What is the hundreds digit of 26337064?
0
What is the millions digit of 12247278?
2
What is the units digit of 11739730?
0
What is the hundreds digit of 2888722?
7
What is the thousands digit of 229143?
9
What is the hundreds digit of 282231?
2
What is the units digit of 2735085?
5
What is the tens digit of 319948?
4
What is the millions digit of 2357726?
2
What is the hundred thousands digit of 527334?
5
What is the ten thousands digit of 306380?
0
What is the tens digit of 27225476?
7
What is the thousands digit of 6314852?
4
What is the ten thousands digit of 60079?
6
What is the hundred thousands digit of 565530?
5
What is the thousands digit of 266813?
6
What is the thousands digit of 243519?
3
What is the thousands digit of 1149392?
9
What is the units digit of 5479527?
7
What is the tens digit of 45671?
7
What is the units digit of 1925299?
9
What is the thousands digit of 98587?
8
What is the thousands digit of 26561178?
1
What is the millions digit of 2953660?
2
What is the ten thousands digit of 630906?
3
What is the units digit of 4136006?
6
What is the millions digit of 11380750?
1
What is the ten thousands digit of 20840455?
4
What is the ten thousands digit of 96855?
9
What is the units digit of 380430?
0
What is the units digit of 4393099?
9
What is the hundreds digit of 753197?
1
What is the units digit of 24771947?
7
What is the hundred thousands digit of 423638?
4
What is the units digit of 105912?
2
What is the units digit of 1425853?
3
What is the ten thousands digit of 98617?
9
What is the hundred thousands digit of 2697653?
6
What is the thousands digit of 167523?
7
What is the millions digit of 3214237?
3
What is the thousands digit of 1598053?
8
What is the hundreds digit of 440306?
3
What is the units digit of 1575614?
4
What is the millions digit of 15918621?
5
What is the tens digit of 1047153?
5
What is the tens digit of 849712?
1
What is the units digit of 588501?
1
What is the units digit of 224429?
9
What is the ten thousands digit of 543062?
4
What is the units digit of 11013584?
4
What is the units digit of 156525?
5
What is the hundreds digit of 1119134?
1
What is the millions digit of 2285683?
2
What is the tens digit of 152260?
6
What is the tens digit of 75578?
7
What is the millions digit of 6159553?
6
What is the units digit of 1665022?
2
What is the thousands digit of 777220?
7
What is the hundreds digit of 357711?
7
What is the hundreds digit of 504282?
2
What is the units digit of 1017033?
|
{
"pile_set_name": "DM Mathematics"
}
|
7/(153/(-12))*(-6)/20.
2/5
What is the value of (-12)/18*36/(-8)?
3
Evaluate 4/(-10)*(-35)/238*-1.
-1/17
Evaluate ((-2)/(-21))/((-3)/(-9)).
2/7
(7/21)/((-5)/(15/6))
-1/6
10/(9/6*(-8)/6)
-5
What is the value of (12/(-64)*8)/((-3)/(-8))?
-4
What is 5/10*(-7)/(7/(-10))?
5
What is -5*16/840*-3?
2/7
Calculate 3*1/((-15)/5).
-1
((-6)/36)/(20/(-48))
2/5
Calculate (-2)/(-1)*(-1)/(-25)*-5.
-2/5
What is ((-5)/(-16))/(190/152)?
1/4
Evaluate (5/(-60)*2)/(2/(-24)).
2
What is 72/16*192/108?
8
Calculate ((-1)/63*-6)/((-3)/3).
-2/21
What is (((-8)/(-36))/1)/((-3)/18)?
-4/3
What is (-4)/(-2*(-5)/5)?
-2
Calculate 2*1*6/(-6).
-2
Calculate 0/(-1)*2/(-2).
0
What is 2/8*-1*(-122)/244?
1/8
Evaluate -3*((-320)/(-75))/16.
-4/5
Evaluate ((10/(-2))/(-55))/(-1).
-1/11
What is (-24)/4*(-1)/2?
3
((-8)/8)/(2/4)
-2
((-12)/150)/(((-8)/(-10))/(-4))
2/5
What is 5*(-6)/(-225)*3?
2/5
(14/189)/1*6/(-2)
-2/9
What is (8*7/294)/((-8)/12)?
-2/7
Evaluate 145/(-174)*4/(-15).
2/9
Calculate (4*(-7)/14)/(52/(-2)).
1/13
7*(-1)/(-42)*6
1
What is (25/150)/(1*(-1)/(-3))?
1/2
Calculate (2*(-6)/(-20))/((-27)/135).
-3
What is (12/(-8))/((-27)/(-12))?
-2/3
7*1/14*5*-2
-5
(-2)/((-11)/198*4)
9
What is (-18)/(-12)*4/(-144)*-3?
1/8
What is (((-5)/5)/10)/((-2)/4)?
1/5
What is the value of ((-10)/25)/(18/10)?
-2/9
(-1)/7*4*(-12)/24
2/7
What is the value of (-1)/(2/2)*3?
-3
Evaluate ((-8)/2)/((-4)/5).
5
What is ((-36)/45)/((-63)/(-45))?
-4/7
What is the value of 4/(-1)*(-2)/(-8)*2?
-2
Calculate -6*2/((9*56)/(-4)).
2/21
What is the value of -3*10/(-225)*10/2?
2/3
What is the value of ((-1)/(-3))/((-13)/((-104)/16))?
1/6
Evaluate (((-154)/33)/14)/(3/(-54)).
6
Evaluate (-8)/((-280)/5)*(-6)/2.
-3/7
(39/(-13))/((-8)/1)
3/8
Calculate 76/684*2*1/(-1).
-2/9
Evaluate (-84)/(-72)*(-4)/21.
-2/9
Evaluate (-1*2)/12*12/8.
-1/4
What is the value of (-3*40/(-45))/(4/(-6))?
-4
What is 276/276*1/((-30)/(-2))?
1/15
Evaluate -3*(1/10)/((-10)/20).
3/5
Calculate (-2)/(4/24*4).
-3
What is ((-12)/((-15)/(-5)))/(-2*1)?
2
What is the value of ((-3)/(135/6))/(3/18)?
-4/5
8/220*11*15/16
3/8
What is (-9)/(-6)*3*(-4)/18?
-1
538/269*(6/(-26))/1
-6/13
What is 0/(30/((-30)/3))?
0
What is the value of (4/3)/(((-21)/7)/9)?
-4
(7/(-42))/((-2)/72*2)
3
Calculate 10/15*30/(-8).
-5/2
What is the value of (-5)/(-4*2/8)?
5
What is (-2)/((-42)/9)*126/(-36)?
-3/2
((8/(-18))/(10/15))/(-2)
1/3
What is the value of (4/(-8))/((182/12)/13)?
-3/7
Evaluate ((-1)/1)/(-9)*18/6.
1/3
((-3)/(-30))/((-1)/8)*-5
4
((-396)/(-88))/((-9)/(-12))
6
(-1*1)/(525/(-175))
1/3
Evaluate 6/((-3)/(-8)*4).
4
Evaluate ((-6)/5)/(18/(-60)).
4
What is the value of (-11)/((-352)/(-36))*8/6?
-3/2
What is the value of 30/(-20)*-2*(-2)/(-48)?
1/8
What is (14/42)/(1/132*-4)?
-11
215/86*-4*(-2)/(-4)
-5
Evaluate -1*(-16)/(-4)*(-11)/22.
2
What is (104/130)/(1/5)?
4
What is ((-16)/896*-14)/((-5)/4)?
-1/5
What is the value of (19/57)/(((-50)/12)/(-5))?
2/5
What is the value of (-3*(-4)/30)/((-16)/(-20))?
1/2
Calculate 8/(-6)*(-11)/(-44)*-6.
2
Evaluate (1/3)/((-187)/66).
-2/17
What is the value of 24/(-198)*3/2?
-2/11
Evaluate (12/357)/((8/14)/2).
2/17
Evaluate 5/(-14)*294/(-140).
3/4
What is (-15)/(-25)*(-1)/3?
-1/5
What is ((-3)/18)/((-19)/114)*7?
7
Calculate (9/45)/(1/(10/12)).
1/6
What is the value of ((-13)/((-312)/40))/((-2)/(-6))?
5
What is the value of ((-24)/(-18))/(8/(-4))?
-2/3
What is (2/6)/(5/15)?
1
Calculate (2/(-11))/(60/(-165)).
1/2
What is ((-65)/26)/((-7)/14)?
5
Evaluate (12/14)/(288/504).
3/2
0/((-6)/((-12)/(-4)))
0
((-4)/(-20))/((-44)/40)
-2/11
-11*(-14)/(-847)*11/(-2)
1
Calculate 4*45/288*4/10.
1/4
(1*15/6)/((-9)/6)
-5/3
What is -4*4/4*4/4?
-4
(1/39)/((-11)/(-66))*1
2/13
What is the value of (11/(-11))/((-3)/(-3)*-1)?
1
What is 42/7*(-12)/(-396)?
2/11
Calculate (0/1)/(4/1*1).
0
What is the value of (66/(-55))/(2/(-5))?
3
What is the value of (-14)/(-35)*5/4?
1/2
Calculate (74/(-185))/(1/((-20)/(-14))).
-4/7
What is 4/(-10)*(-1)/((-6)/10)?
-2/3
What is the value of ((-12)/4)/(-30)*-2?
-1/5
Evaluate ((-12)/16*1)/(15/(-100)).
5
What is (70/(-25))/((-20)/(-50))?
-7
What is (4/2)/(-1)*14/28?
-1
What is the value of (0/((-200)/(-10)))/((-10)/(-2))?
0
What is the value of -3*2*-3*(-12)/36?
-6
What is (-2)/(-14)*(-14)/(-28)*-7?
-1/2
What is (9/18)/(1/10)?
5
What is the value of ((-192)/36)/((-2)/(-3))?
-8
What is the value of ((-21)/(-126))/((-1)/(-2))*-6?
-2
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
1109, 1427
What are the prime factors of 27938168?
2, 89, 39239
List the prime factors of 19538088.
2, 3, 47, 17321
List the prime factors of 10752314.
2, 5376157
What are the prime factors of 988740?
2, 3, 5, 1831
What are the prime factors of 5977526?
2, 59, 179, 283
What are the prime factors of 5322325?
5, 43, 4951
What are the prime factors of 7320935?
5, 131, 11177
What are the prime factors of 330986?
2, 61, 2713
What are the prime factors of 1772065?
5, 59, 6007
List the prime factors of 169537.
19, 8923
What are the prime factors of 2260476?
2, 3, 62791
List the prime factors of 368753.
7, 11, 4789
List the prime factors of 1232738.
2, 13, 17, 2789
What are the prime factors of 1736130?
2, 3, 5, 11, 5261
What are the prime factors of 1049272?
2, 7, 41, 457
List the prime factors of 99120.
2, 3, 5, 7, 59
What are the prime factors of 13705385?
5, 73, 37549
List the prime factors of 468631.
211, 2221
List the prime factors of 339061.
409, 829
What are the prime factors of 1939679?
7, 277097
What are the prime factors of 176320?
2, 5, 19, 29
List the prime factors of 5245420.
2, 5, 262271
List the prime factors of 4214818.
2, 37, 56957
List the prime factors of 3386413.
577, 5869
List the prime factors of 4131115.
5, 239, 3457
What are the prime factors of 17139025?
5, 23, 41, 727
List the prime factors of 5639494.
2, 7, 79, 5099
What are the prime factors of 1474493?
1019, 1447
List the prime factors of 386174.
2, 293, 659
List the prime factors of 445126.
2, 11, 20233
List the prime factors of 5528025.
3, 5, 79, 311
What are the prime factors of 126839?
126839
List the prime factors of 2726150.
2, 5, 7, 7789
What are the prime factors of 311038?
2, 7, 13, 1709
List the prime factors of 683427.
3, 37, 47, 131
List the prime factors of 8682393.
3, 17, 170243
What are the prime factors of 11995942?
2, 7, 856853
List the prime factors of 207296.
2, 41, 79
What are the prime factors of 517393?
517393
What are the prime factors of 2129111?
31, 173, 397
List the prime factors of 6456149.
7, 43, 89, 241
List the prime factors of 1899416.
2, 233, 1019
What are the prime factors of 2030820?
2, 3, 5, 11, 17, 181
What are the prime factors of 488300?
2, 5, 19, 257
What are the prime factors of 9042405?
3, 5, 211, 2857
List the prime factors of 293863.
293863
What are the prime factors of 89401?
13, 23
List the prime factors of 515538.
2, 3, 9547
What are the prime factors of 7700119?
7, 547, 2011
List the prime factors of 1075892.
2, 268973
What are the prime factors of 13636847?
7, 53, 59, 89
What are the prime factors of 715726?
2, 11, 32533
List the prime factors of 4003069.
7, 571867
What are the prime factors of 33118463?
7, 19, 35573
What are the prime factors of 3620155?
5, 7, 11, 9403
What are the prime factors of 2976143?
353, 8431
What are the prime factors of 200951?
23, 8737
List the prime factors of 474897.
3, 311, 509
What are the prime factors of 1121148?
2, 3, 7, 1483
List the prime factors of 22582233.
3, 30977
List the prime factors of 29211.
3, 7, 13, 107
What are the prime factors of 272464?
2, 17029
What are the prime factors of 379595?
5, 31, 79
What are the prime factors of 594417?
3, 198139
List the prime factors of 217799.
433, 503
List the prime factors of 1774785.
3, 5, 179, 661
List the prime factors of 12058477.
12058477
What are the prime factors of 668188?
2, 167047
List the prime factors of 9913778.
2, 7, 101161
List the prime factors of 158014.
2, 41, 47
List the prime factors of 331132.
2, 19, 4357
What are the prime factors of 667303?
7, 13, 7333
List the prime factors of 1531392.
2, 3, 997
List the prime factors of 11451496.
2, 7, 131, 223
What are the prime factors of 504184?
2, 19, 31, 107
What are the prime factors of 29934160?
2, 5, 374177
List the prime factors of 355523.
7, 50789
List the prime factors of 2579721.
3, 307, 2801
What are the prime factors of 648128?
2, 13, 19, 41
List the prime factors of 4746252.
2, 3, 7, 56503
List the prime factors of 102952.
2, 17, 757
What are the prime factors of 932758?
2, 331, 1409
List the prime factors of 343006.
2, 41, 47, 89
List the prime factors of 8803865.
5, 7, 251539
List the prime factors of 14319792.
2, 3, 277, 359
What are the prime factors of 26023642?
2, 151, 86171
What are the prime factors of 279374?
2, 41, 3407
What are the prime factors of 954148?
2, 13, 59, 311
What are the prime factors of 6794245?
5, 151, 8999
List the prime factors of 505027.
505027
List the prime factors of 2106983.
2106983
What are the prime factors of 564116?
2, 7, 20147
What are the prime factors of 2979750?
2, 3, 5, 29, 137
What are the prime factors of 7567526?
2, 101, 37463
List the prime factors of 49876.
2, 37, 337
What are the prime factors of 5508996?
2, 3, 167, 2749
List the prime factors of 165209.
11, 23, 653
List the prime factors of 50574.
2, 3, 8429
What are the prime factors of 5867703?
3, 17, 38351
What are the prime factors of 4077133?
157, 25969
What are the prime factors of 718079?
523, 1373
What are the prime factors of 2280798?
2, 3, 13, 19
What are the prime factors of 13854321?
3, 13, 59, 223
What are the prime factors of 9832491?
3, 37, 29527
List the prime factors of 584692.
2, 146173
List the prime factors of 4865994.
2, 3, 7, 613
List the prime factors of 425890.
2, 5, 42589
List the prime factors of 775870.
2, 5, 77587
What are the prime factors of 2064312?
2, 3, 19, 503
List the prime factors of 549385.
5, 19, 5783
What are the prime factors of 227438?
2, 113719
What are the prime factors of 972040?
2, 5, 19, 1279
List the prime factors of 5048094.
2, 3, 841349
List the prime factors of 236861.
17, 13933
List the prime factors of 1793095.
5, 61, 5879
What are the prime factors of 92885?
5, 13, 1429
What are the prime factors of 7838942?
2, 47, 89, 937
What are the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
786
In base 5, what is 20 - 1044103324?
-1044103304
In base 4, what is 10132 - -101112221?
101123013
In base 9, what is -1560 + 508?
-1051
In base 9, what is 438312 - 21?
438281
In base 11, what is 3 - -4a22a05?
4a22a08
In base 6, what is 113304 - -22404?
140112
In base 16, what is 8d016a - 0?
8d016a
In base 15, what is -bd93 + -2bd?
-c161
In base 9, what is 3344 + 218234?
222578
In base 6, what is -520212155 - -2?
-520212153
In base 3, what is -100 + 1102120001000112?
1102120001000012
In base 2, what is 1110101101011110 + 1000000?
1110101110011110
In base 15, what is 3c + -61413?
-613c6
In base 5, what is 2 + -1213033142?
-1213033140
In base 15, what is -13 - 4c8c4e5?
-4c8c508
In base 8, what is -3 + 21560355?
21560352
In base 8, what is -276 - 557667?
-560165
In base 16, what is 4 + b3079?
b307d
In base 16, what is -2284c + -11?
-2285d
In base 10, what is 15834 - -1917?
17751
In base 5, what is 3344 - 3221311?
-3212412
In base 7, what is 212460 - -346?
213136
In base 3, what is 10111020221 + 0?
10111020221
In base 14, what is 1750d253 + 2?
1750d255
In base 15, what is ad1 - -5289?
5d6a
In base 8, what is 1426017 - 746?
1425051
In base 5, what is -132 + 23241312?
23241130
In base 16, what is -1 + -6e0f740?
-6e0f741
In base 5, what is 332 - -3103244?
3104131
In base 8, what is -4 + -135635342?
-135635346
In base 7, what is -54056 + -4026?
-61115
In base 5, what is -121242231 - 1?
-121242232
In base 8, what is -37 - 3625740?
-3625777
In base 10, what is -544 - -1481?
937
In base 9, what is -2081 + 4307?
2216
In base 16, what is -2 - 3ec35ca?
-3ec35cc
In base 9, what is 17 - 1327151?
-1327133
In base 3, what is 21002021011212220 + -20?
21002021011212200
In base 14, what is -3086d - 1d3?
-30a62
In base 16, what is -3 + 1d642f0?
1d642ed
In base 10, what is 699208 + 428?
699636
In base 3, what is 1012220200212 - -100?
1012220201012
In base 11, what is 3 + -43580a?
-435807
In base 4, what is 13030102103030 + 13?
13030102103103
In base 16, what is ef5 + 47936?
4882b
In base 14, what is -ad25 + 58d1?
-5434
In base 12, what is 4a - -13b450?
13b49a
In base 14, what is -397 - -55c?
1a5
In base 12, what is -32531b30 + 4?
-32531b28
In base 5, what is -1 - -3002100444?
3002100443
In base 13, what is 6c + c0a9?
c148
In base 16, what is d5ea2 - -ed?
d5f8f
In base 11, what is 2287184 + 1?
2287185
In base 4, what is -33220213131 + -1212?
-33220221003
In base 5, what is 44134103222 + -2?
44134103220
In base 5, what is 14 + -100221441?
-100221422
In base 2, what is -10000 - -11100001110010110001?
11100001110010100001
In base 7, what is -35 - -16006655?
16006620
In base 5, what is 340142411 - -12?
340142423
In base 13, what is 13 - 8c52b05?
-8c52ac2
In base 7, what is 5 + 1455034450?
1455034455
In base 2, what is 1000101001110111100 - -101100101?
1000101010100100001
In base 16, what is -4 + b69ba1?
b69b9d
In base 13, what is 453 - -b5ac?
ba32
In base 6, what is -1244034404 + 20?
-1244034344
In base 5, what is -24342104043 + -22?
-24342104120
In base 5, what is 1441123123 - 4?
1441123114
In base 3, what is 12 + -11111011201000?
-11111011200211
In base 5, what is -2124 + 23120024?
23112400
In base 13, what is a4661 - c?
a4652
In base 10, what is -823 - -5549?
4726
In base 16, what is -1 + dc66?
dc65
In base 9, what is 50 - -4523335?
4523385
In base 11, what is -9647 + -1232?
-a879
In base 11, what is 1230575 + 3?
1230578
In base 3, what is -10 + 10020002012022001?
10020002012021221
In base 16, what is d + 631c5c?
631c69
In base 3, what is 20 - 10121210201121211?
-10121210201121121
In base 11, what is 34a4 - -963?
4357
In base 8, what is 1351555116 + -2?
1351555114
In base 6, what is 155223544111 - -2?
155223544113
In base 14, what is -3 - 13d316?
-13d319
In base 15, what is -13 - 87406b?
-87407e
In base 2, what is 101000 - -1100111111010000010?
1100111111010101010
In base 9, what is 81342375 + -2?
81342373
In base 8, what is -402603432 - -1?
-402603431
In base 8, what is -2707601 + -1320?
-2711121
In base 2, what is 11 + 1101111001110101111111?
1101111001110110000010
In base 11, what is 16a3 - 148004?
-146411
In base 6, what is -2 - -13303252?
13303250
In base 10, what is 10900530 - 5?
10900525
In base 11, what is 1 - 60aa39a?
-60aa399
In base 13, what is -1b2311a - 5?
-1b23122
In base 16, what is e + 1dd448e?
1dd449c
In base 8, what is 15563 + 1357?
17142
In base 8, what is 201674 - 5211?
174463
In base 11, what is -5 + 584867?
584862
In base 5, what is -4 - -124214003?
124213444
In base 4, what is -3133312 + 12000?
-3121312
In base 10, what is 385578 - -438?
386016
In base 14, what is 9362 + 4db?
985d
In base 11, what is -6510251 - -19?
-6510233
In base 3, what is 110 - -22101101222?
22101102102
In base 15, what is
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 2 = -z - 4*w, -w - 7 = -2*z - 2. Is (4 - z)*(27 + -1) a multiple of 13?
True
Let p(a) = -a**2 - 17*a - 49. Let c be p(-13). Suppose 5*v - 75 - 69 = m, c*m = -12. Is 14 a factor of v?
True
Suppose 2*d + 55436 = 4*w, 29*d = -7*w + 28*d + 96986. Does 6 divide w?
False
Let a be (-4)/5 - (-454)/5. Suppose 0 = 3*r - a - 6. Does 4 divide r?
True
Let m be 440 - (-24)/(-1 - 5). Suppose -639 - 13 = -3*q + 5*h, -2*q + 2*h + m = 0. Does 28 divide q?
False
Suppose -43*m = -655342 + 253507. Is 107 a factor of m?
False
Let f = 237 + -185. Let p(m) = 8*m**3 - 3*m + 2. Let l be p(2). Suppose 59*c + f = l*c. Does 13 divide c?
True
Let p(r) = -2*r**3 - 6*r**2 - 8*r + 3. Let b be p(-4). Let v = 125 - b. Suppose -2*n - v = -m, 3*n + 57 - 4 = m. Is m a multiple of 13?
False
Is -15*(-56)/(-350)*(-40585)/3 a multiple of 110?
False
Is 62 a factor of (-133924)/(-16) + ((-40)/5)/32?
True
Let x(p) = p**3 - 13*p**2 + 12*p + 3. Let j be x(12). Let r = 181 - 180. Does 5 divide (11 + 12/j)*r?
True
Suppose 5*b + 7*q - 42318 = 0, 0 = 4*b + b - q - 42286. Does 49 divide b?
False
Suppose 0*t = -2*t + 4, -s - 1 = -3*t. Let r(g) = g**3 + 3*g**2 - 33*g + 14. Is 18 a factor of r(s)?
False
Suppose -d = -2*j - 5360, -3*j = 2*d - 7263 - 3471. Suppose 13*l = -996 + d. Let v = -171 + l. Is 11 a factor of v?
True
Suppose -8*i - 1 = -57. Let p(y) = y**3 - 6*y**2 + 4*y. Is p(i) a multiple of 11?
True
Let z(y) = y**2 - 5*y + 1. Let d be z(5). Let m be d/(-3 - (-50)/15). Suppose -m*t = -11 - 7. Is t a multiple of 3?
True
Suppose 3*k + 1788 = -y, -4*y - y - 1192 = 2*k. Let l = -421 - k. Does 23 divide l?
False
Let y = -47 - -56. Let p be y/(-3) - 0 - -1*3. Suppose -g + 29 - 5 = p. Does 8 divide g?
True
Is 78 a factor of 6/((-720216)/2522814 - 4/(-14))?
False
Is 99 a factor of ((-8242)/39)/(4/(-138))?
False
Suppose -4*q = 4*j - 47620, 99*q - 97*q = 4*j + 23780. Is 88 a factor of q?
False
Suppose -45*j + 3*c + 958 = -49*j, 0 = -2*j + 2*c - 486. Let f be (2/(-4))/(1/742). Let r = j - f. Is 6 a factor of r?
False
Let z = 1891 + -1564. Is z a multiple of 79?
False
Let r(y) = -8*y**2 - 5*y - 7. Let l be (-15 - -6)*(-2)/18*2. Let p(c) = -c**3 + 8*c**2 + 4*c + 7. Let h(v) = l*p(v) + 3*r(v). Is 12 a factor of h(-5)?
False
Let i be 0*((-22)/4 + 5). Suppose -4*u - 195 - 289 = -b, -b - 3*u + 449 = i. Does 14 divide b?
False
Suppose -30131 = -75*x + 29719. Is 133 a factor of x?
True
Suppose 5*o = -5*n + 27 + 18, -2*n - 5*o = -27. Let c be 3/n + 5043/6. Suppose 9*a - 12*a + c = -2*b, -3*b - 6 = 0. Is 31 a factor of a?
True
Let j be 3 + -5 + 12/3. Suppose -j*b - 13 = -45. Suppose b - 140 = -2*z. Is z a multiple of 15?
False
Let k = 148 + 7117. Is 20 a factor of k?
False
Let l(r) = -101*r + 152. Let h(z) = z**2 - 11*z + 20. Let n be h(7). Is 16 a factor of l(n)?
True
Suppose -34*s + 530438 = 21802 - 527684. Is 30 a factor of s?
True
Suppose 3921 = 3*j + g, -3*g - 1991 = -4*j + 3224. Suppose 3*x - j = -4*h + 6*h, -5*h + 1271 = 3*x. Is x a multiple of 72?
True
Does 94 divide (-8 - -23)/(-5)*6*-94?
True
Suppose h = 3*h - 28. Let k(g) be the first derivative of -g**4/4 + 14*g**3/3 + 2*g**2 - 21*g - 21. Is 4 a factor of k(h)?
False
Let r = 963 - -27. Suppose 5*u = -u + r. Suppose -3*s + 2*y + 0*y = -175, 0 = -3*s - 3*y + u. Is s a multiple of 19?
True
Suppose 34*l - 35*l = -3396. Let s be l/48 - (-1)/4. Let a = -43 + s. Does 12 divide a?
False
Suppose 0 = 25*d - 31*d - 36. Does 6 divide (3/d)/((-1)/120)?
True
Let s = 302 - -202. Let a = s - 4. Does 50 divide a?
True
Suppose 3*x = y - 3317, 298*y + 2*x - 9973 = 295*y. Does 3 divide y?
False
Let g(z) be the third derivative of 3/8*z**4 + 1/30*z**5 - 4/3*z**3 + 26*z**2 + 0 + 0*z. Is g(8) a multiple of 34?
False
Suppose -5*x = 2*k - 27633, 2*x + 7*k = 9*k + 11042. Does 152 divide x?
False
Suppose -7 - 11 = -6*x. Suppose 0 = 4*v - 4*q - 352, 4*q = 1 + x. Let c = -41 + v. Is 16 a factor of c?
True
Is (-1265)/(-46)*(-22)/2*(-92 - -22) a multiple of 55?
True
Suppose 832*n + 698239 = 965*n - 567389. Is n a multiple of 17?
False
Let z(a) = a**3 - 55 + 19 - 4 + 2*a + 3*a**2. Is z(7) a multiple of 58?
True
Let b(p) = p**2 - 13*p - 19. Let f = -113 + 102. Let c be b(f). Let y = c - 174. Does 5 divide y?
False
Let r = -358 + 645. Suppose 5*s = -47 + r. Let m = s - 43. Is m a multiple of 5?
True
Suppose -75*l - 86*l + 315814 = -985710. Does 172 divide l?
True
Suppose -297593 + 22590 = -25*g + 82497. Does 13 divide g?
True
Suppose 4*b = 5*t - 43, 0*b = b + 5*t + 17. Let h(o) = 8 - 13*o - 3*o**2 + 2*o**2 - 4 + 22. Is h(
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 3*l - 20*l**2 - 4*l.
l**2 - 7*l
Collect the terms in 805013 + 0*y - 805013 - 2*y.
-2*y
Collect the terms in -191*j + 782*j - 193*j - 194*j - 195*j.
9*j
Collect the terms in 18*y**3 + 179*y**2 - 179*y**2 - 19*y**3.
-y**3
Collect the terms in 219*m**2 + 220*m**2 - 428*m**2.
11*m**2
Collect the terms in -121*w - 126*w - 127*w + 376*w.
2*w
Collect the terms in -16*l**2 + 20*l**2 + l**2.
5*l**2
Collect the terms in -j - 8 + 14 - 6.
-j
Collect the terms in -15*h - 18*h + 22*h.
-11*h
Collect the terms in 33*o**3 - 10 + 5 + 5.
33*o**3
Collect the terms in 48*j**2 + 479*j**3 - 46*j**2 + 29*j**3.
508*j**3 + 2*j**2
Collect the terms in -4*g - 5*g + 11*g - 5*g - g.
-4*g
Collect the terms in 2*o**2 + 14*o**3 - 2*o**2 + 18*o**3.
32*o**3
Collect the terms in -7620 + 2*y**2 + 7620.
2*y**2
Collect the terms in -31*d**3 + 4 + 33*d**3 - 4.
2*d**3
Collect the terms in -130*n + 2 + 29*n - 1 + 1.
-101*n + 2
Collect the terms in 12 - 31 + 70*r + 19.
70*r
Collect the terms in -4 + 0 + 2 + 279*q.
279*q - 2
Collect the terms in 1761*k**2 + k**3 - 4*k**3 - 1761*k**2.
-3*k**3
Collect the terms in -42*f**2 - 250*f + 250*f.
-42*f**2
Collect the terms in 4 + 0*t**3 + t**3 + 1 + 1.
t**3 + 6
Collect the terms in 12*s - 5*s**2 + 16*s + 15*s - 41*s.
-5*s**2 + 2*s
Collect the terms in 3 - 2*w - 4*w + 3*w + 3.
-3*w + 6
Collect the terms in -8*l**3 + 8*l**3 + l**3 + 4*l**3.
5*l**3
Collect the terms in 5 - 33*l**3 - 11*l**3 - 6*l**3 - 3.
-50*l**3 + 2
Collect the terms in -27 + 40*w**3 - 10*w**3 - 12*w**3 - 17*w**3.
w**3 - 27
Collect the terms in -6*b**2 + 19*b**2 + 3*b**2 + 9*b**2.
25*b**2
Collect the terms in 4 - 1 - 3 - 14*p.
-14*p
Collect the terms in 10*l - 21*l + 11*l + 93*l**2.
93*l**2
Collect the terms in -2*w**2 + 2*w**2 - 232*w**3 + 228*w**3.
-4*w**3
Collect the terms in -15 + 51 - 16 + 4*b**2 - 20.
4*b**2
Collect the terms in -3 + 3 + 459*g - 2.
459*g - 2
Collect the terms in -2*b - 6*b - b - b + 4*b.
-6*b
Collect the terms in -3*g**2 + g**3 - 947325*g + 3*g**2 + 947325*g.
g**3
Collect the terms in -3*p - p + 5*p + 4*p.
5*p
Collect the terms in 1345678*t - 1345678*t + t**2.
t**2
Collect the terms in 20*s**3 - 4*s + 4*s + 17*s**3.
37*s**3
Collect the terms in -75*w**2 - 73*w**2 + 146*w**2.
-2*w**2
Collect the terms in -2*a**3 + 447*a**2 - 447*a**2.
-2*a**3
Collect the terms in 11*q**3 - 2*q**3 + 2*q**3.
11*q**3
Collect the terms in -64*a**2 + 64*a**2 + 5*a**3.
5*a**3
Collect the terms in z**2 - 1472*z**3 - z**2 + 736*z**3 + 734*z**3.
-2*z**3
Collect the terms in 4*l + 1 - 1 - 16*l.
-12*l
Collect the terms in -q + 3*q**3 + q + 0*q**3.
3*q**3
Collect the terms in -4*u + 32*u - 6*u - 20*u.
2*u
Collect the terms in 10*q**2 - 7*q**2 - 7*q**2.
-4*q**2
Collect the terms in -t - 2*t + 10*t.
7*t
Collect the terms in h**2 + 781 - 781.
h**2
Collect the terms in -106 - 103 + 2*k**2 + 310 - 101.
2*k**2
Collect the terms in -12*c**2 + 0*c + 0*c + c**2.
-11*c**2
Collect the terms in 16*w**3 - 14*w**3 + 9*w + 66*w.
2*w**3 + 75*w
Collect the terms in 3*x**2 - 3*x**2 - 14*x**3 - 18*x**3.
-32*x**3
Collect the terms in 47 - 47 - 6*s**2.
-6*s**2
Collect the terms in -9*r**3 + 6*r**3 + 29*r + 4*r**3.
r**3 + 29*r
Collect the terms in 43 - 45 - 70*b**2 - 2*b**2.
-72*b**2 - 2
Collect the terms in 0*p**2 - 20*p**2 - 16*p**2.
-36*p**2
Collect the terms in 36 - 8*j**3 - 74 + 38.
-8*j**3
Collect the terms in 0*o**2 + 19*o**2 + 6*o**2 - 23*o**2.
2*o**2
Collect the terms in -528*w**2 - 527*w**2 + 1053*w**2.
-2*w**2
Collect the terms in -9*v**2 + 0 + 0 + 11*v**2.
2*v**2
Collect the terms in -482*q + 151*q - 93*q.
-424*q
Collect the terms in -1105*v**3 + 555*v**3 + 547*v**3.
-3*v**3
Collect the terms in -3*t**2 + 11*t**2 - 47*t**2.
-39*t**2
Collect the terms in -3*i**3 - 90*i**3 - 105*i**3.
-198*i**3
Collect the terms in 12*s**3 + 17*s**3 - 28*s**3.
s**3
Collect the terms in -4 + 4*q + 4.
4*q
Collect the terms in 2*w**2 - 7*w**2 + w**2.
-4*w**2
Collect the terms in 179*i**3 + 180*i**3 - 362*i**3.
-3*i**3
Collect the terms in 20*w**3 - 15*w**3 + 15*w**3 - 17*w**3.
3*w**3
Collect the terms in 10 + 3*o + 12 - 22.
3*o
Collect the terms in -443*j**2 + 878*j**2 - 445*j**2.
-10*j**2
Collect the terms in
|
{
"pile_set_name": "DM Mathematics"
}
|
-x - 8758190 = -h. Round h to the nearest one million.
13000000
Let b = 0.026926 + -0.027. Round b to 5 dps.
-0.00007
Let y = -0.2317 + 0.24169936. Let f = y + -0.01. What is f rounded to seven decimal places?
-0.0000006
Suppose 3*w + 0*w + 5*h - 41370 = 0, 2*w = 3*h + 27599. Suppose 2*f - 5*c = -9175, 3*f + 0*c - c = -w. Round f to the nearest one thousand.
-5000
Let g = -83.244 + 83. Round g to two dps.
-0.24
Let p(w) = 6299*w - 20. Let v be p(-20). Round v to the nearest 10000.
-130000
Let a = -264 + -45. Let v be (-6)/4*(1 - a). Let r be (-3 + 1)/(10/v). Round r to the nearest ten.
90
Suppose 5*a + 4350 = 2*z - 0*z, -5*z - 2*a + 10846 = 0. Round z to the nearest 1000.
2000
Let p = 993.8885125 + -844.88851341. Let g = -149 + p. What is g rounded to 7 dps?
-0.0000009
Suppose 3*i - o = -3*o + 18, -4*i + 4*o = -4. Let b be ((-15)/i)/((-1)/588024). Let g = b + -3105090. Round g to the nearest 1000000.
-1000000
Let k = 42.7085 - 42.3. Let g = k + -0.4. What is g rounded to 3 decimal places?
0.009
Suppose 0 = u - 4*u. Let p be 6228/1*297/2. Suppose -2*g + 244858 - p = u. What is g rounded to the nearest one hundred thousand?
-300000
Let i = 1642.60007 + -1641. Let z = 2.6 - 1. Let c = i - z. Round c to 4 decimal places.
0.0001
Let m(l) = 5833*l + 4. Let n be m(12). Suppose -n = -2*d - 3*d. What is d rounded to the nearest 10000?
10000
Let z = 11.4 + -11.571. Let o = z - -0.171123. What is o rounded to five dps?
0.00012
Let n = -0.13 + -1.13. Round n to one decimal place.
-1.3
Suppose -o - 22 = 5*v, 4*o - 2 = o + 2*v. Let g = -8 - o. Let z(i) = 2731*i**3 - 4*i**2 - 8*i - 8. Let m be z(g). Round m to the nearest 100000.
-600000
Suppose 0 = -8*j + 43821 + 10579. Round j to the nearest one thousand.
7000
Suppose 0 = -4*p + 3*x + 132169949 - 4569955, -2*p - 2*x + 63800004 = 0. Round p to the nearest one million.
32000000
Let b = -20 - -35. Round b to the nearest 10.
20
Let n = -6 + 6.072. Let w = -87.072 + n. Let k = -87.0000043 - w. What is k rounded to 6 decimal places?
-0.000004
Let g = 6.04 - 6. Let s = g - -0.08. Let j = -0.12 - s. Round j to 1 decimal place.
-0.2
Let g(t) be the second derivative of 32*t**5 - 5*t**4/6 + 5*t**2 - 3*t. Let r be g(-7). Round r to the nearest 100000.
-200000
Let h = -0.17 + 0.01. Let t = h - -0.1600064. Round t to 6 decimal places.
0.000006
Let f = 0.007 - -0.03. What is f rounded to two decimal places?
0.04
Let k = -13400226 + 75200346. Let c = 61800136.9999956 - k. Let q = -17 + c. Round q to 6 decimal places.
-0.000004
Suppose -2*a = -p + 2*a + 1299984, 5*p - 2*a = 6499992. Round p to the nearest 1000000.
1000000
Let z = 20 - 19.9999996. What is z rounded to 6 dps?
0
Let u = 83 + -95.4. What is u rounded to zero dps?
-12
Let i = 404.998966 - 405. Round i to four decimal places.
-0.001
Let v = 117.906 + -118. What is v rounded to 2 decimal places?
-0.09
Let j = 12.6 + 2.5. Let b = j - 8.8. What is b rounded to 0 dps?
6
Let g = -1553351.99100027 + 1553352. Let l = 0.009 - g. Round l to seven decimal places.
0.0000003
Let w(o) = -o**2 + 7*o - 6. Let y be w(6). Suppose 60 = 4*k - 192. Suppose -5*b - 67 - k = y. What is b rounded to the nearest 10?
-30
Let h be (6 - 12)/((-2)/(-31)). What is h rounded to the nearest ten?
-90
Let a = -25.5 + 45.9. Round a to 0 decimal places.
20
Let i = -19.9999982 + 20. Round i to six dps.
0.000002
Let n = 10838690922 - 10838690999.99999931. Let s = -78 - n. What is s rounded to seven dps?
-0.0000007
Let z = -10.2 - -6.1. Let x = z + 0.1. Let p = x + 3.9999996. Round p to 6 decimal places.
0
Let x = 37562216898143413 - 37562216537942213.00000026. Let j = 360201218 - x. Let g = 18 - j. Round g to seven dps.
-0.0000003
Let j = -0.1073 - -0.107791. What is j rounded to 5 decimal places?
0.00049
Suppose 2 = -4*c + 5*c. Let s be ((-21221)/c)/(3/(-156)). Let o = -271746 + s. Round o to the nearest one hundred thousand.
300000
Suppose -5*h = 2*r - 23, 0 = -r + 2*r - 3*h + 16. Let p be (5 - r)*7/(-14). Let t be 6*12833 - (p + 1). Round t to the nearest ten thousand.
80000
Let t = 2975540.0000068 - 2975538. Let o = -2 + t. What is o rounded to six dps?
0.000007
Let q = 1.7 + -9.7. Let j = 6.5 + q. Let b = j + 1.604. What is b rounded to two decimal places?
0.1
Let l = 57.046 - 57. What is l rounded to 2 decimal places?
0.05
Let t = -10442 + 17942. Let f be 36/15*t/9. Round f to the nearest 1000.
2000
Let s = -11122 + 11121.91098. Let k = s + 0.088. What is k rounded to four decimal places?
-0.001
Let w = 12 + -12.0036. Round w to three dps.
-0.004
Let b(z) = z**3 - 5*z**2 + 2*z + 2. Let i be b(4). Let v(j) = -508*j**3 + 7*j**2 - 8 + 4 - 14*j**3. Let g be v(i). Round g to the nearest ten thousand.
110000
Let k = 1 - 1.0075. What is k rounded to 3 dps?
-0.008
Let p = -0.051 - -20.051. Let c = -19.12 + p. Round c to 1 decimal place.
0.9
Let w = -2.5 - -2. Let j = -0.5000025 - w. What is j rounded to six dps?
-0.000003
Let j = -11.35 + 18.4. Let s = 5.4 - j. What
|
{
"pile_set_name": "DM Mathematics"
}
|
-22)/((-7)/14*(7 - 9))
-22
What is (-483)/12 + 578 + -541?
-13/4
Evaluate (-1760)/(-330) - 371/(-21).
23
What is the value of 131/(-12) + (-230)/2760?
-11
Calculate (-5)/(-60)*(-4494)/107.
-7/2
Evaluate -86*(-3)/(-54) - (515 + -520).
2/9
Calculate (-2)/((-1)/(-10 + 12)).
4
What is (36 - 43)*(-40)/(-14)?
-20
4216/272 + 2/(-4)
15
-15*(45/(-18) - 27/(-18))
15
(1 - (-14)/(-12)) + 2737/2346
1
Evaluate (11 + (-682)/(-77) - (-1)/7)/(-2).
-10
What is the value of ((-96)/56 - 6/21)/(442/17)?
-1/13
What is 18 + 5/(((-4 - -2) + 3)*-1)?
13
What is (16 + 5216/(-336))/(6/14)?
10/9
What is (-1)/(-14)*-46 - 360/(-1260)?
-3
What is (-12)/27*2043/(-18614)?
2/41
Evaluate (4/(-10))/(((-4050)/(-45))/(-9)).
1/25
Calculate (-25)/(234/14 + -16).
-35
What is the value of 1/4 - 57/285*260/48?
-5/6
What is 3075/(-1125)*(1 + 0) - (-4)/3?
-7/5
What is the value of -5*(-4)/15*-6?
-8
Calculate ((-2)/(-1))/(41/(4059/18)) - -18.
29
21 + -9*18/729*45
11
(20/(-60))/((-2)/(-3))
-1/2
(4 - 165/75)/(-3)
-3/5
What is ((-60)/8)/(140/(-8))?
3/7
What is (-1 - (4 + -1)) + 1827/630*-10?
-33
What is the value of -15*(-19 - (-27 - -7))?
-15
What is (-64)/126 + (-26)/1001*-11?
-2/9
What is 12/80*(-21 + (-3220)/(-120))?
7/8
Calculate (-14)/(-231) - 2499/13464.
-1/8
What is -15 + ((-48)/60)/(92/(-1035))?
-6
Evaluate 22/(-3)*2/12*(-453 - -444).
11
Evaluate 57/(366 - -33)*(-6 + 2).
-4/7
What is 35/(700/15) - 6/(-136)*-13?
3/17
What is the value of (-34)/(-10)*1 - (-17)/((-408)/72)?
2/5
Calculate (-91)/30 - -2 - (43 - 5746/130).
1/6
What is the value of (-126)/(-6664)*17*28/(-24)?
-3/8
Evaluate (0 - 730/(-50)) + (-20)/(-50).
15
Calculate ((-32)/12)/(-8*60/(-144)).
-4/5
8/60*51/(1683/110)
4/9
-36 + (-12376)/(-289) - 7
-3/17
What is the value of (378/72)/21 - 0?
1/4
What is the value of (-50)/(-30) + 675/(-891)?
10/11
What is (-1)/(-20)*-4 + (-973)/35 + 11?
-17
What is the value of (30 - 24087/814)/((-3)/(-4))?
6/11
What is (4/(-66))/((-242)/12 + 20)?
4/11
((-370)/50 + 5)/((-21)/(-140))
-16
Calculate (-63)/(-18)*(20/(-60))/(7/15).
-5/2
Evaluate (2/9)/((-6)/108).
-4
Calculate (21/(-105))/(931/4446 - (-2)/(-13)).
-18/5
What is (-605)/924 + (60/(-21))/(-5)?
-1/12
Evaluate ((-72)/54)/((1/30)/(7/28)).
-10
Evaluate (-77)/(-1001) + 43/(-52).
-3/4
5*(-210)/(-75) + -14
0
What is 3 + (-22)/2 - (-651)/93?
-1
What is the value of (-10)/25 + (-74)/(-10) + 9?
16
Calculate -18 + (-15 - 0) + 11.
-22
What is the value of ((9*3/(-18))/(-3))/(18/(-756))?
-21
Calculate (10 - 7)/((-18)/24) + 2*1.
-2
Calculate -67*(-1)/9 - 24/(6 + 210).
22/3
Evaluate 15480/1110 - ((-181)/(-74) + 570/(-228)).
14
Evaluate (-2*(-7)/(-28))/(145/20).
-2/29
Evaluate -3 - (49274/(-3266) + 12 + 0).
2/23
((-1)/(-3) + (-186)/18)/(-1) + -6
4
What is the value of -14 - (6/9)/(3/9)?
-16
Evaluate 1 - 24/28 - 192/(-420).
3/5
What is the value of (-4)/(-30)*-6*(-5)/(-20)?
-1/5
Calculate 2/(((-23)/(-92))/((-39)/(-48)*4)).
26
Calculate (-236)/(-885) + (-1316)/210.
-6
What is (10/30 - -1)/(9/(-27))?
-4
Evaluate (34 + -14)/5 - 136/24.
-5/3
(-3135)/(-198)*8/12 + 12/27
11
What is the value of (240/56)/(-30) - (48/7 + 0)?
-7
Calculate 12 + (42880/(-3705) - 372/806).
-2/57
Calculate (-60)/(-1080) + 715/90.
8
Calculate 33/396*-84 - (1 + 0).
-8
What is (3/15)/(5/(-15))?
-3/5
What is 8 + (-588)/70 - (6 - (-1218)/(-195))?
-2/13
Calculate ((-24)/(-2898))/((-224)/(-2576)).
2/21
((-4075)/525)/((-80)/14) - (-8)/(-6)
1/40
What is 145/15 - 224/48?
5
What is 32/256 + 5/((-1840)/14)?
2/23
What is ((-18)/7 - 0)*(-3689)/1581?
6
What is (-17)/((-136)/(-16))*30/12?
-5
What is the value of 1112/62 + (-41 - -23)?
-2/31
(0 + 2)*((-211)/1055)/(4/70)
-7
What is 1608/168 - (-6)/14 - 18?
-8
What is 864/(-480) - ((-1)/5 + (-54)/(-10))?
-7
Calculate (-1 + -5)/(-40 - -37)*1.
2
What is (66/(-28) - 1/2)*(-4093)/(-8186)?
-10/7
What is (2*6)/(-355 + 321)?
-6/17
What is 8/(-76)*931/98?
-1
(24986/(-1612))/((-3)/(-6))
-31
Evaluate ((-15)/(-8))/(110/77 - (-1751)/(-476)).
-5/6
What is the value of ((-2)/3)/(302/(-3171))?
7
Calculate (-18)/30*(-90)/126.
3/7
What is ((-3)/(-9) - 328/(-123))/(3/11)?
11
What is 68 + -50 + 1232/(-68)?
-2/17
Calculate 1*(54/(-378) - (-2 + 106/42)).
-2/3
9 - ((-3808)/(-400) + 6/(-10))
2/25
Evaluate (2/(4/(-14)) + 4)/((-129)/(-430)).
-10
Calculate (2/12)/((-28)/336).
-2
What is (2/(-20) + (-44)/110)/((-10)/(-28))?
-7/5
Evaluate -4*287/(-294) - (0 - 6/63).
4
((-1080)/(-2016))/((-100)/(-210))
9/8
What is the value of 148*(-1)/391 + (-1 - (-95)/85)?
-6/23
What is the value of -16 + (11 - (6 + -16))?
5
What is the value of (36/28)/(135/(-1890))?
-18
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
e the remainder when 199475 is divided by 66491.
2
Calculate the remainder when 1942550 is divided by 215838.
8
Calculate the remainder when 24345 is divided by 2429.
55
What is the remainder when 140444 is divided by 19?
15
Calculate the remainder when 1086096 is divided by 68.
0
Calculate the remainder when 68621 is divided by 130.
111
Calculate the remainder when 7191 is divided by 7.
2
Calculate the remainder when 2874 is divided by 1423.
28
Calculate the remainder when 7355 is divided by 175.
5
Calculate the remainder when 18669 is divided by 416.
365
What is the remainder when 9615 is divided by 2?
1
What is the remainder when 536 is divided by 266?
4
What is the remainder when 4430719 is divided by 757?
755
Calculate the remainder when 21630 is divided by 442.
414
What is the remainder when 879 is divided by 113?
88
Calculate the remainder when 1020950 is divided by 108.
26
Calculate the remainder when 1983 is divided by 190.
83
Calculate the remainder when 15840 is divided by 299.
292
Calculate the remainder when 1837672 is divided by 69.
64
Calculate the remainder when 8910 is divided by 1108.
46
What is the remainder when 115439 is divided by 101?
97
What is the remainder when 3413 is divided by 9?
2
Calculate the remainder when 5661 is divided by 682.
205
What is the remainder when 1017 is divided by 998?
19
What is the remainder when 1864 is divided by 258?
58
Calculate the remainder when 2383 is divided by 416.
303
Calculate the remainder when 167890 is divided by 7994.
16
What is the remainder when 11974 is divided by 146?
2
What is the remainder when 193022 is divided by 292?
10
What is the remainder when 209258 is divided by 808?
794
What is the remainder when 43815 is divided by 21889?
37
What is the remainder when 521678 is divided by 29?
26
Calculate the remainder when 2765 is divided by 233.
202
Calculate the remainder when 39940 is divided by 9984.
4
Calculate the remainder when 3430980 is divided by 44.
36
Calculate the remainder when 91969 is divided by 347.
14
Calculate the remainder when 37650 is divided by 336.
18
What is the remainder when 12084 is divided by 5?
4
What is the remainder when 931138 is divided by 21?
19
Calculate the remainder when 36661 is divided by 97.
92
Calculate the remainder when 572709 is divided by 7.
4
Calculate the remainder when 44262 is divided by 57.
30
Calculate the remainder when 51678 is divided by 174.
0
Calculate the remainder when 234869 is divided by 921.
14
Calculate the remainder when 239197 is divided by 65.
62
Calculate the remainder when 7500 is divided by 944.
892
Calculate the remainder when 50947 is divided by 24.
19
Calculate the remainder when 364589 is divided by 14583.
14
Calculate the remainder when 258638 is divided by 16.
14
Calculate the remainder when 13726 is divided by 305.
1
What is the remainder when 51150 is divided by 294?
288
What is the remainder when 11041 is divided by 1045?
591
What is the remainder when 22835 is divided by 11?
10
What is the remainder when 13057 is divided by 98?
23
Calculate the remainder when 1148 is divided by 474.
200
What is the remainder when 8613 is divided by 705?
153
What is the remainder when 33537 is divided by 258?
255
Calculate the remainder when 109187 is divided by 4.
3
Calculate the remainder when 21629 is divided by 13.
10
What is the remainder when 1752 is divided by 60?
12
Calculate the remainder when 2381 is divided by 231.
71
Calculate the remainder when 1211 is divided by 730.
481
What is the remainder when 3276 is divided by 342?
198
Calculate the remainder when 12293 is divided by 744.
389
Calculate the remainder when 358434 is divided by 95.
94
Calculate the remainder when 21703 is divided by 81.
76
Calculate the remainder when 83980 is divided by 33.
28
Calculate the remainder when 7983 is divided by 11.
8
Calculate the remainder when 877 is divided by 401.
75
What is the remainder when 31786 is divided by 4540?
6
What is the remainder when 116220 is divided by 38714?
78
What is the remainder when 8348 is divided by 36?
32
Calculate the remainder when 6464 is divided by 3228.
8
What is the remainder when 2890 is divided by 691?
126
Calculate the remainder when 77536 is divided by 137.
131
What is the remainder when 5587 is divided by 2783?
21
What is the remainder when 8606 is divided by 955?
11
What is the remainder when 1140 is divided by 348?
96
Calculate the remainder when 9005 is divided by 1106.
157
What is the remainder when 29240 is divided by 573?
17
What is the remainder when 6906 is divided by 38?
28
What is the remainder when 3836 is divided by 33?
8
What is the remainder when 1530958 is divided by 6?
4
What is the remainder when 883 is divided by 33?
25
What is the remainder when 3043 is divided by 3000?
43
Calculate the remainder when 1122 is divided by 120.
42
Calculate the remainder when 172381 is divided by 2394.
13
Calculate the remainder when 136445 is divided by 13643.
15
Calculate the remainder when 33029 is divided by 21.
17
Calculate the remainder when 115464 is divided by 42.
6
Calculate the remainder when 5314 is divided by 197.
192
Calculate the remainder when 2303 is divided by 190.
23
Calculate the remainder when 103713 is divided by 1646.
15
Calculate the remainder when 69438 is divided by 4.
2
What is the remainder when 78472 is divided by 58?
56
Calculate the remainder when 1078357 is divided by 1251.
1246
What is the remainder when 2019 is divided by 43?
41
What is the remainder when 119342 is divided by 101?
61
Calculate the remainder when 8051 is divided by 349.
24
What is the remainder when 209636 is divided by 34937?
14
What is the remainder when 166 is divided by 10?
6
What is the remainder when 159904 is divided by 1290?
1234
What is the remainder when 11083 is divided by 2765?
23
What is the remainder when 75182 is divided by 177?
134
What is the remainder when 54193 is divided by 13?
9
Calculate the remainder when 11640 is divided by 36.
12
What is the remainder when 1277 is divided by 6?
5
Calculate the remainder when 7530 is divided by 327.
9
Calculate the remainder when 115121 is divided by 75.
71
What is the remainder when 311515 is divided by 120?
115
Calculate the remainder when 2226 is divided by 71.
25
What is the remainder when 20548 is divided by 326?
10
Calculate the remainder when 662260 is divided by 220752.
4
What is the remainder when 5278 is divided by 2500?
278
What is the remainder when 7750 is divided by 766?
90
What is the remainder when 14573 is divided by 4855?
8
What is the remainder when 36129 is divided by 58?
53
Calculate the remainder when 9535 is divided by 825.
460
Calculate the remainder when 168297 is divided by 29.
10
What is the remainder when 14260 is divided by 4672?
244
Calculate the remainder when 27492 is divided by 5.
2
Calculate the remainder when 23591 is divided by 251.
248
Calculate the remainder when 135729 is divided by 262.
13
What is the remainder when 4232 is divided by 93?
47
What is the remainder when 1285 is divided by 124?
45
What is the remainder when 105049 is divided by 4?
1
Calculate the remainder when 2005 is divided by 84.
73
What is the remainder when 83203 is divided by 215?
213
Calculate the remainder when 21043 is divided by 226.
25
What is the remainder when 1445327 is divided by 144?
143
Calculate the remainder when 19165 is divided by 71.
66
What is the remainder when 33122 is divided by 8267?
54
What is the remainder when 12752 is divided by 1594?
0
What is the remainder when 2183 is divided by 180?
23
Calculate the remainder when 3033 is divided by 430.
23
What is the remainder when 20618 is divided by 15?
8
What is the remainder when 159993 is divided by 402?
399
|
{
"pile_set_name": "DM Mathematics"
}
|
erm in -16, -47, -136, -313, -608?
-1051
What comes next: -65, -71, -53, 1, 103, 265, 499?
817
What comes next: 63, 40, 3, -48, -113, -192, -285?
-392
What is next in -3, -14, -37, -78, -143?
-238
What comes next: -37, -28, -21, -16?
-13
What is next in -1, -6, -11, -16?
-21
What comes next: -119, -110, -97, -80, -59?
-34
What is next in -6, 1, 24, 69, 142, 249, 396?
589
What is next in 15, 25, 33, 39, 43?
45
What comes next: 49, 331, 1085, 2545, 4945, 8519, 13501, 20125?
28625
What is next in -83, -52, 31, 190, 449, 832, 1363?
2066
What is next in 70, 101, 130, 157, 182, 205?
226
What is the next term in -14804, -14805, -14806, -14807?
-14808
What is the next term in -302, -306, -310?
-314
What is the next term in -149, -109, -5, 193, 515, 991, 1651?
2525
What is the next term in 9, 84, 177, 288, 417?
564
What comes next: -18, -12, 6, 36, 78, 132, 198?
276
What is the next term in -1117, -2235, -3355, -4477?
-5601
What comes next: -670, -1346, -2032, -2734, -3458?
-4210
What is next in 20, 11, -10, -49, -112, -205, -334, -505?
-724
What is next in -107, -217, -327, -437?
-547
What comes next: 17, 67, 149, 263, 409, 587?
797
What is next in -30, -55, -80, -105, -130, -155?
-180
What comes next: -159, -365, -569, -771, -971, -1169?
-1365
What is next in 3278, 3276, 3272, 3266, 3258, 3248?
3236
What is next in 2723, 5447, 8171, 10895, 13619?
16343
What comes next: 7, 85, 295, 703, 1375, 2377?
3775
What comes next: 15, 66, 153, 276, 435, 630?
861
What comes next: -256, -225, -166, -73, 60, 239, 470, 759?
1112
What is the next term in -34, -86, -138, -190, -242?
-294
What is the next term in 74, 85, 94, 101, 106, 109?
110
What is next in 890, 882, 868, 848, 822?
790
What comes next: -128, -268, -412, -560, -712, -868?
-1028
What is the next term in 8, -19, -52, -79, -88, -67, -4, 113?
296
What is next in -181, -195, -225, -277, -357?
-471
What is next in -9, -34, -69, -114, -169, -234?
-309
What comes next: 893, 1802, 2711, 3620?
4529
What is next in -26, -11, 16, 61, 130, 229, 364, 541?
766
What is the next term in 198, 412, 640, 888, 1162?
1468
What is the next term in 3, 33, 87, 165, 267?
393
What is the next term in 2511, 2509, 2507, 2505?
2503
What is the next term in -41, -55, -69, -83, -97?
-111
What comes next: -333, -661, -989, -1317, -1645, -1973?
-2301
What is the next term in 37, 94, 149, 202, 253, 302, 349?
394
What is next in 16, -15, -74, -155, -252, -359?
-470
What comes next: 27, 281, 977, 2337, 4583?
7937
What is next in -16, -72, -164, -292?
-456
What comes next: -147, -134, -119, -102?
-83
What is next in -9, -18, -53, -126, -249, -434?
-693
What is the next term in -3, -10, -35, -90, -187, -338, -555, -850?
-1235
What is next in -753, -1514, -2275, -3036, -3797, -4558?
-5319
What is next in -4, -22, -40, -58?
-76
What is next in 7964, 15927, 23890, 31853, 39816?
47779
What is next in -174, -177, -180, -183, -186?
-189
What is the next term in 34, 36, 32, 16, -18, -76?
-164
What comes next: -215, -291, -371, -455, -543?
-635
What is next in -16, -43, -78, -121, -172, -231?
-298
What is the next term in 4665, 9332, 13999, 18666, 23333, 28000?
32667
What is next in 795, 783, 757, 711, 639, 535, 393?
207
What comes next: -18, -48, -78, -108, -138, -168?
-198
What comes next: 259, 245, 229, 211, 191, 169, 145?
119
What is the next term in -4373, -4375, -4377?
-4379
What comes next: 21, 124, 303, 564, 913, 1356, 1899, 2548?
3309
What is the next term in 4, 18, 42, 82, 144, 234, 358, 522?
732
What comes next: 366, 731, 1098, 1467, 1838?
2211
What is the next term in 73, 80, 91, 106?
125
What is next in -44, -47, -50, -53, -56?
-59
What comes next: -30976, -30975, -30974, -30973, -30972, -30971?
-30970
What comes next: -2535, -5071, -7607?
-10143
What is next in 198, 199, 200, 201, 202?
203
What comes next: -53, -149, -317, -563, -893?
-1313
What is next in 40, 68, 98, 130, 164, 200?
238
What comes next: -204, -822, -1852, -3294, -5148?
-7414
What comes next: 47, 96, 145, 194?
243
What is next in 188, 381, 574, 767, 960, 1153?
1346
What is the next term in 9690, 9689, 9688, 9687, 9686, 9685?
9684
What is next in -102, -208, -324, -456, -610, -792, -1008, -1264?
-1566
What is the next term in 48, 180, 412, 750, 1200, 1768?
2460
What is the next term in -69, -134, -307, -642, -1193, -2014, -3159, -4682?
-6637
What is next in -11, -42, -87, -152, -243?
-366
What is next in 425, 425, 427, 431, 437, 445?
455
What is the next term in 111, 226, 351, 492, 655?
846
What comes next: -543, -2166, -4871, -8658, -13527, -19478, -26511?
-34626
What comes next: -3, -61, -167, -327, -547, -833?
-1191
What comes next: 17, 76, 247, 590, 1165
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1 - 1)*(7 - 7 + 4*a)*(a + 2*a**2 + 2 - 5 + 1) as x + z*a + d*a**2 + n*a**3 and give z.
24
Express -92*h - 53*h + 81*h as u*h + s and give u.
-64
Express (5 - 3 + 0)*(-1 + 2 - 4)*(-8*n - 40 + 40) in the form f + l*n and give l.
48
Rearrange -7 + 3 + 4 - 4*f to j*f + u and give j.
-4
Rearrange -k**4 - 4*k**4 + 3*k**4 + (5*k**2 - 3*k**2 - k**2)*(18*k - 18*k - 31*k**2) to the form j*k + o + t*k**4 + u*k**2 + f*k**3 and give t.
-33
Express (2 - 6 + 2)*(0*h + h + 0*h) + (-3 - 1 + 6)*(2*h + h - h) - 3*h + 2*h - 5*h as i + t*h and give t.
-4
Express 5*r**2 + 5*r - 8*r**2 + 0*r + r in the form j*r**2 + y + t*r and give j.
-3
Express (25*z - 2 + 2)*(-z**2 + 1 - 1) as h*z**3 + d + n*z**2 + q*z and give h.
-25
Rearrange ((0*f + 4*f - 3*f)*(-2*f + 5*f - 4*f) + 2 - 2 - f**2)*(3 - 5 + 3*f**2 - 2*f**2) to c*f + g*f**4 + t*f**3 + a + l*f**2 and give g.
-2
Rearrange -2 - 6*o**2 - 4*o**4 + 12*o**4 + o**3 + 3*o**2 + 2*o**2 to the form p*o**3 + b + s*o**4 + z*o + m*o**2 and give m.
-1
Express 174 - 29*b - 174 as x*b + p and give x.
-29
Express -17*r**2 - 107*r + 107*r in the form w*r**2 + o + x*r and give w.
-17
Express 17*l**2 + 8*l**2 + 2*l**2 + 5*l**2 in the form p*l**2 + i + v*l and give v.
0
Express (2 + 2 - 5 + (-3 + 3 - 1)*(2 - 7 + 2) + 2 + 1 - 4)*(4*a**2 - 4*a**2 - a**3) as s + l*a**2 + u*a**3 + n*a and give u.
-1
Express (3 + 0 + 4)*((-1 + 5 - 2)*(4*b - 2*b + 0*b) - 2*b + 5*b - b) in the form d + i*b and give i.
42
Express -84*v + 5 + 2 - 7 in the form a*v + q and give a.
-84
Rearrange (-f**2 - f**3 + f**2)*(2 - 6 + 5)*(9 - 2 - 1) to o*f + v + p*f**2 + s*f**3 and give s.
-6
Rearrange (2 + 4 - 4 + (-3 + 2 + 0)*(-1 + 3 - 3) + 3 - 4 + 2 + 2 + 4 - 4)*(-23 + 8 - 6)*(-q**2 - 4*q**2 + 4*q**2) to the form x*q**2 + s*q + a and give x.
126
Express (3*n + 4*n - 5*n)*(n**2 + 2*n**2 + 0*n**2) + 6*n**3 - n**3 + 2*n**3 as b + f*n**3 + y*n + j*n**2 and give f.
13
Rearrange 0*x - 3*x + 5*x + (4 + 0 - 3)*(-1 + x + 1) + 3 - 3 + x - 5*x + x + 5*x - 3*x + 3*x - 3*x - 6*x + x + 2*x to the form f*x + z and give f.
-1
Express -j**2 + 4*j - 2*j**3 - 6*j + 9*j**2 + j**2 as p*j**2 + i*j + m + s*j**3 and give i.
-2
Rearrange -5*b - 10*b**3 + 0*b + 15*b**2 + 3*b - 13*b**2 to the form x*b + f*b**2 + i*b**3 + v and give i.
-10
Express 7*d**2 + d - 12*d**2 + 6*d**2 as h*d + t + q*d**2 and give q.
1
Express l**2 - 7*l**2 + l**2 + (-2*l - 3 + 3)*(-l + 0*l - 5*l) - 5*l**2 + 3*l**2 + 4*l**2 as s + d*l**2 + n*l and give d.
9
Rearrange 7*z**3 + 0*z**3 + 2*z + z**2 - 3*z**3 + 3*z**2 to w*z**2 + q*z**3 + j*z + y and give y.
0
Rearrange (60*o**3 - 56*o**3 - 1 - 3*o + 4)*(-o + 0*o + 0*o) to m*o + y + c*o**4 + a*o**2 + i*o**3 and give c.
-4
Express 6*q - 8*q + 3*q + 8*q in the form c + m*q and give m.
9
Rearrange 106*u**2 + 41*u**2 - 70*u**2 to the form p + x*u**2 + c*u and give x.
77
Express 2*h**4 + 70*h**3 - 2*h - 2 + 4 - 73*h**3 - h**2 as q*h**3 + r + g*h + l*h**4 + t*h**2 and give t.
-1
Express -3*b**2 + 4*b**2 - 5 + 5*b**2 in the form s*b**2 + n + i*b and give n.
-5
Express (-7*k - k + 3*k)*(-3*k + 3*k + k**2)*(4 - 2 + 2) as g + c*k**3 + h*k + l*k**2 and give c.
-20
Rearrange 89*m - 37*m - 52*m - 50*m to the form p + d*m and give d.
-50
Express (-2 - 3 + 3)*(3*h + 2*h - h) + (-3 - 2 + 2)*(-3 - 2*h + 3) as a*h + i and give i.
0
Express -2*h + 3*h + 2*h**2 - 4*h in the form l*h + u*h**2 + w and give l.
-3
Express (2*i + 2 - 2)*(-61*i**2 - 1548*i + 1548*i) in the form g*i**2 + h*i**3 + u + y*i and give h.
-122
Rearrange ((-i + 2*i + i)*(4 + 0 - 2) - 2 - 2*i + 2)*(-1 - 1 + 4) to the form y*i + h and give y.
4
Express 0*h - 9*h**4 - 2 + 10*h**4 - 2*h**3 - 3*h**4 - h + 24*h**2 in the form r*h**2 + i*h + l*h**3 + y*h**4 + v and give r.
24
Express -2*j**2 - 7*j**2 - 4*j**2 - 2*j**2 - 2*j as q + x*j**2 + z*j and give q.
0
Rearrange 42*p**2 + 23*p**2 - 21*p**2 to g*p + k + r*p**2 and give r.
44
Express -21 + 45 - 20 - 7*b as v + c*b and give c.
-7
Express (-3 + 0 + 7)*(-h**2
|
{
"pile_set_name": "DM Mathematics"
}
|
t(143)/(-2*sqrt(275)) + sqrt(832) + 4 + -1*sqrt(832) + sqrt(832))*-5.
-79*sqrt(13)/2 - 20
Simplify 1 + ((2 + -6*sqrt(180)*-4)*-3)**2.
5184*sqrt(5) + 933157
Simplify (-2*((sqrt(252) + (3*sqrt(252)*-3 - sqrt(252)) + -5)*-5 + 5))**2.
64800*sqrt(7) + 2044800
Simplify (sqrt(209)/(-2*sqrt(11)*-2) - 1*(0 + sqrt(2736)))*-1.
47*sqrt(19)/4
Simplify (sqrt(154)/(sqrt(7)*-1))/sqrt(11) - ((sqrt(28)/sqrt(2) + sqrt(14))/sqrt(7) + -1).
-3*sqrt(2) + 1
Simplify 2 + ((sqrt(13) - (-4 + sqrt(65)/sqrt(5)))**2 + -3 - (-3 + 0 + sqrt(13) + ((-1 + sqrt(1573))**2 - sqrt(1573)))).
-1556 + 32*sqrt(13)
Simplify 5*(-2 + 3 + (-4*(1 + sqrt(50)))**2) + 3.
800*sqrt(2) + 4088
Simplify (sqrt(432)/(-1*sqrt(12)) + sqrt(36))/(-1*sqrt(1452))*-4.
0
Simplify (5 + (sqrt(136)*4*-3)/(sqrt(648)*3))**2.
-40*sqrt(17)/9 + 2297/81
Simplify (sqrt(6292) + -1*sqrt(6292) + sqrt(6292) + (sqrt(572)*1)/sqrt(11))/(-6*(sqrt(484)*-1 + sqrt(484) + sqrt(484)) - sqrt(484)).
-12*sqrt(13)/77
Simplify (sqrt(121) + (1*sqrt(121)*5 - sqrt(121)) + sqrt(121) + (sqrt(121) + -2*sqrt(121)*1 - sqrt(121)))/(-2*sqrt(99) - sqrt(99)*5).
-4*sqrt(11)/21
Simplify (-1 + sqrt(448))*-3 + 2 - (sqrt(77) + -2*(sqrt(77)*1 - sqrt(77)))/(sqrt(11) + sqrt(11) + (-1*sqrt(99) + sqrt(99) - sqrt(99))).
-23*sqrt(7) + 5
Simplify ((((sqrt(11) - (sqrt(11) + 0)) + sqrt(11) + sqrt(11) - sqrt(11)) + 2)**2 + (sqrt(110) + sqrt(110)*3)/sqrt(10))*6*1.
90 + 48*sqrt(11)
Simplify 2*(sqrt(20) - sqrt(5)) + sqrt(5) - -2*sqrt(45) - (-1*sqrt(40)*3)/(sqrt(72) + sqrt(72)*1).
19*sqrt(5)/2
Simplify ((sqrt(189) - sqrt(189)*4)/sqrt(3))/sqrt(9) + (sqrt(7) - (-1 + sqrt(28)/sqrt(4))) + -3*sqrt(35)/sqrt(5).
-6*sqrt(7) + 1
Simplify ((1*sqrt(264))/sqrt(11))/sqrt(12) - (-1*(sqrt(126)/sqrt(7) + sqrt(18)))**2.
-72 + sqrt(2)
Simplify (sqrt(2) - (sqrt(8) + 0) - (sqrt(16)/(sqrt(8) - (sqrt(8) - sqrt(72))) - sqrt(2)) - sqrt(14)/(-1*-1*sqrt(7)))**2.
32/9
Simplify 3 + 1*(sqrt(891) + (sqrt(891) - (sqrt(891) + 2 - sqrt(891)))**2 + sqrt(891)) + 3.
-18*sqrt(11) + 901
Simplify (4*sqrt(192)*2 + (sqrt(12) + 0 - (sqrt(768) + sqrt(3))))**2.
7203
Simplify 3*(-1*(sqrt(1088) + 1 + -5))**2*-3.
-9936 + 576*sqrt(17)
Simplify 3 + sqrt(300) + sqrt(300) + 1 - (2*-2*sqrt(3) + 0).
4 + 24*sqrt(3)
Simplify ((2*sqrt(136))/sqrt(8) + -4 + sqrt(68))**2 + sqrt(170)/(sqrt(10) - ((sqrt(250)*1 - sqrt(10)) + sqrt(10))) + -2.
-129*sqrt(17)/4 + 286
Simplify 6*-5*(-1*2*sqrt(95))/(sqrt(5) + (sqrt(180)/sqrt(3))/sqrt(12) + sqrt(5) - sqrt(5))*-4.
-120*sqrt(19)
Simplify (3*(sqrt(539) + -2 + 3 + -1 + sqrt(539)*1 + -4))**2.
-1008*sqrt(11) + 19548
Simplify (-4*sqrt(99)*-2 - (sqrt(99) + -2*(sqrt(99) + (sqrt(99) - (-2*sqrt(99) - sqrt(99))) - sqrt(99))))/(sqrt(90)/(-1*sqrt(810))).
-135*sqrt(11)
Simplify (-3 + 1*(sqrt(1700) - (-1 + sqrt(1700)))*-3*3 + 1)**2.
121
Simplify -1 + (sqrt(5) - sqrt(80)/sqrt(4))*-3*4.
-1 + 12*sqrt(5)
Simplify (5*-2*(sqrt(288) - -5*(0 + sqrt(288) + sqrt(288))))**2 + -2.
3484798
Simplify ((sqrt(500) + sqrt(500)*-1*-3)**2 + ((sqrt(5) - (-1 + sqrt(5))*-2) + 0)**2)*-6.
-48294 + 72*sqrt(5)
Simplify -5*((sqrt(304) - (0 + sqrt(304) + 3 - sqrt(304)) - sqrt(304))**2 + -4 - ((sqrt(304) - (2*-1*sqrt(304) - sqrt(304))) + (sqrt(304) + 1)*-5)**2).
200*sqrt(19) + 1620
Simplify 3*(1*-3*sqrt(396) + (sqrt(396) + 0)*2).
-18*sqrt(11)
Simplify sqrt(405) - (sqrt(405)*3 + sqrt(405))*1 - -2*(sqrt(405) + -1)**2.
-63*sqrt(5) + 812
Simplify (((sqrt(833) - (2 + sqrt(833))) + -2)**2 + ((sqrt(833)*4 - sqrt(833))*6 - sqrt(833))**2)*4.
963012
Simplify ((5 + (-2 + -1 + sqrt(1900) - (4*(0 + sqrt(1900)) - sqrt(1900))))*6)**2.
-2880*sqrt(19) + 273744
Simplify 4*(1 + -1 + sqrt(208)*1 + (-1 + sqrt(208) + 0 + sqrt(208) - sqrt(208)) + sqrt(208)).
-4 + 48*sqrt(13)
Simplify (-1*(sqrt(15) + sqrt(30)/sqrt(2) - sqrt(15)))/(-1*sqrt(720)) + ((1*sqrt(528))/(sqrt(33)/sqrt(3)*-5))**2.
sqrt(3)/12 + 48/25
Simplify -2 + (-4*(0 + sqrt(175)) + 1 + 3 + sqrt(175))**2.
-120*sqrt(7) + 1589
Simplify (6*(4*sqrt(3)*-2*-2 + -3 + 3 + -1))**2.
-1152*sqrt(3) + 27684
Simplify ((sqrt(351)/(sqrt(9) + (sqrt(9) - sqrt(225)*2) - sqrt(9) - sqrt(9)))/(4*(sqrt(36)/sqrt(4))/sqrt(3)))**2.
13/1600
Simplify (-6*(sqrt(52)/sqrt(4) + -3 + sqrt(13) - (sqrt(13) + -3*sqrt(208))))**2.
-2808*sqrt(13) + 79416
Simplify (3 + -2 + sqrt(19) + (sqrt(38)/sqrt(2) + -2 - sqrt(19)) + (1*sqrt(76)*4)/(sqrt(4)*2*-2))**2.
1
Simplify 2*(-4 + -2*(3 + 2 + sqrt(99) + 5 + sqrt(99))**2).
-1992 - 480*sqrt(11)
Simplify ((-3 + (2*sqrt(128) + 1 - sqrt(128))*-3)*2)**2*4.
4608*sqrt(2) + 19008
Simplify 2
|
{
"pile_set_name": "DM Mathematics"
}
|
5712993
How many seconds are there in 54.89319 minutes?
3293.5914
Convert 146.518 years to millennia.
0.146518
Convert 12.83843 millilitres to litres.
0.01283843
What is 29/5 of a millennium in years?
5800
What is 436353.39us in hours?
0.000121209275
How many centuries are there in 0.4048479 years?
0.004048479
Convert 736491.9 kilograms to nanograms.
736491900000000000
How many nanometers are there in 11/4 of a micrometer?
2750
How many nanometers are there in 1/4 of a micrometer?
250
What is 1/24 of a week in minutes?
420
How many millilitres are there in 1.907523l?
1907.523
What is 3/40 of a millennium in years?
75
How many millilitres are there in 59/5 of a litre?
11800
How many millilitres are there in fourty-three quarters of a litre?
10750
How many meters are there in 24941.52 kilometers?
24941520
What is 986549.3 millennia in centuries?
9865493
Convert 4458.484 decades to years.
44584.84
What is 1853.048ml in litres?
1.853048
How many millilitres are there in eighty-one halves of a litre?
40500
Convert 0.0607218nm to kilometers.
0.0000000000000607218
Convert 292850.7kg to micrograms.
292850700000000
How many minutes are there in 11/2 of a week?
55440
What is 6/5 of a gram in milligrams?
1200
How many centimeters are there in 3/10 of a kilometer?
30000
Convert 0.9332517 nanograms to grams.
0.0000000009332517
What is 31/2 of a gram in milligrams?
15500
How many litres are there in 4505.846 millilitres?
4.505846
How many milliseconds are there in 24.541 days?
2120342400
How many months are there in 6/5 of a decade?
144
What is 15/16 of a centimeter in micrometers?
9375
What is three eighths of a week in minutes?
3780
How many millilitres are there in 71/5 of a litre?
14200
How many nanometers are there in 0.8509606mm?
850960.6
How many tonnes are there in 0.5106457mg?
0.0000000005106457
How many seconds are there in 8.991035ns?
0.000000008991035
What is 84450.72 grams in tonnes?
0.08445072
How many millilitres are there in one fifth of a litre?
200
What is 749.0598 tonnes in milligrams?
749059800000
What is 58371.6042 minutes in weeks?
5.79083375
Convert 218.459241 microseconds to weeks.
0.0000000003612090625
How many decades are there in 340.6835 years?
34.06835
What is fifty-four fifths of a litre in millilitres?
10800
Convert 809972.9 millennia to centuries.
8099729
How many millilitres are there in 49/4 of a litre?
12250
Convert 7013.427g to milligrams.
7013427
What is eleven quarters of a litre in millilitres?
2750
What is 1.882911 months in centuries?
0.0015690925
What is seventy-one quarters of a tonne in kilograms?
17750
Convert 0.2548203t to grams.
254820.3
How many decades are there in 1/4 of a millennium?
25
How many millilitres are there in thirty-two fifths of a litre?
6400
Convert 0.809114 millennia to decades.
80.9114
How many millilitres are there in 67028.2l?
67028200
How many millilitres are there in three fifths of a litre?
600
How many meters are there in 6/25 of a kilometer?
240
What is 1894.18 decades in months?
227301.6
What is 0.9580069km in meters?
958.0069
How many micrometers are there in 606.0364 centimeters?
6060364
How many years are there in 0.9036198 centuries?
90.36198
What is one quarter of a litre in millilitres?
250
What is 0.609654 millilitres in litres?
0.000609654
What is 13/4 of a century in years?
325
What is fifteen quarters of a day in hours?
90
What is 608.4 days in microseconds?
52565760000000
How many centimeters are there in 3/40 of a kilometer?
7500
What is thirty-one fifths of a meter in centimeters?
620
What is 7386.58l in millilitres?
7386580
How many microseconds are there in 49297.39s?
49297390000
Convert 8663.953 hours to microseconds.
31190230800000
How many micrograms are there in 63332.41kg?
63332410000000
How many years are there in six fifths of a decade?
12
How many millimeters are there in twenty-five quarters of a meter?
6250
Convert 0.0244749 millennia to decades.
2.44749
How many years are there in 59.3449 centuries?
5934.49
What is one tenth of a kilometer in millimeters?
100000
How many centuries are there in 57492.97 millennia?
574929.7
What is three tenths of a centimeter in micrometers?
3000
How many micrometers are there in 991.8462 meters?
991846200
How many seconds are there in 3/50 of a day?
5184
How many grams are there in seventeen quarters of a kilogram?
4250
What is 552.9197 tonnes in micrograms?
552919700000000
How many microseconds are there in 6/25 of a millisecond?
240
Convert 8823.211 tonnes to kilograms.
8823211
What is 0.9438704l in millilitres?
943.8704
Convert 4696.799 millilitres to litres.
4.696799
How many centuries are there in three fifths of a millennium?
6
How many nanoseconds are there in 57/5 of a microsecond?
11400
Convert 3.755257 centuries to decades.
37.55257
What is 11/4 of a millimeter in micrometers?
2750
How many nanograms are there in one tenth of a microgram?
100
How many kilograms are there in 5/4 of a tonne?
1250
What is 607.8866 centuries in years?
60788.66
How many years are there in 13/5 of a decade?
26
How many years are there in fifty-five quarters of a millennium?
13750
What is five quarters of a hour in seconds?
4500
How many litres are there in 25.06283 millilitres?
0.02506283
How many seconds are there in 41638.99 nanoseconds?
0.00004163899
Convert 35.20559 millennia to decades.
3520.559
What is 1/4 of a kilometer in centimeters?
25000
What is 0.7179868 litres in millilitres?
717.9868
What is 6315.785km in meters?
6315785
How many seconds are there in 222.1999us?
0.0002221999
How many millilitres are there in 45/2 of a litre?
22500
What is eleven eighths of a decade in months?
165
How many millilitres are there in 9.950621l?
9950.621
What is six fifths of a hour in minutes?
72
How many meters are there in 386.9063cm?
3.869063
How many years are there in 21/4 of a millennium?
5250
How many months are there in 8/3 of a century?
3200
What is 719.125ms in seconds?
0.719125
Convert 74410.02nm to millimeters.
0.07441002
How many litres are there in 51719.37 millilitres?
51.71937
What is 311.4755m in nanometers?
311475500000
How many millilitres are there in 21/4 of a litre?
5250
What is five quarters of a gram in milligrams?
1250
How many months are there in 13/4 of a millennium?
39000
How many nanometers are there in 77771.82 meters?
77771820000000
What is 167499.6l in millilitres?
167499600
What is 41.8127 minutes in seconds?
2508.
|
{
"pile_set_name": "DM Mathematics"
}
|
461407.
-266693246
Work out 0.78 * 884155.
689640.9
Product of 21554499 and -2.
-43108998
What is -1678 times -6.314?
10594.892
29137.1 * -0.3
-8741.13
What is the product of 9839991 and 0.02?
196799.82
Multiply 141 and -0.010031.
-1.414371
Calculate 0.53349*-172.
-91.76028
What is the product of 0.0195 and 0.0616?
0.0012012
Product of 559775 and -7.
-3918425
Product of 446063 and 22.
9813386
What is -0.1 times -3876.762?
387.6762
Calculate 36234*-5283.
-191424222
0.34399*17223
5924.53977
Calculate -21*-1275658.
26788818
Work out 35 * 424666.
14863310
-3909 * 3.2468
-12691.7412
Calculate -0.027*59122.09.
-1596.29643
Product of -112.131 and 1914.
-214618.734
0.728 * -74665
-54356.12
Product of 4504115 and 0.58.
2612386.7
Multiply -42 and -1.27165.
53.4093
-3 * -5.42104
16.26312
Multiply -16.8 and 9759.2.
-163954.56
0.0043 times 493.12
2.120416
1187 times 133253
158171311
-0.038212 times -80
3.05696
Work out 0.059 * -0.245935.
-0.014510165
-25263 * -429
10837827
Work out 2 * -84949.09.
-169898.18
Work out 834 * -181174.
-151099116
Calculate -96170.6*-0.1.
9617.06
What is 41685.795 times -9?
-375172.155
What is the product of 33 and 566825?
18705225
Work out 3 * -0.93242956.
-2.79728868
What is 0.107 times 1899?
203.193
0.5*215563439
107781719.5
1143.76*46
52612.96
Product of 5 and -682747.
-3413735
Calculate -1975779*-0.36.
711280.44
47.113302 times 0.4
18.8453208
-651244228 times 3
-1953732684
-0.250771 * 1.777
-0.445620067
What is the product of -0.07 and -8857.64?
620.0348
Work out 2.1 * -872616.
-1832493.6
61656*941
58018296
694 times 111547
77413618
What is -156677 times 0.0946?
-14821.6442
What is the product of 19028 and -213?
-4052964
What is the product of -329.431 and -5.7?
1877.7567
What is the product of 0.27 and 80149?
21640.23
What is the product of -156719.5 and -933?
146219293.5
Product of 48.28 and 0.024403.
1.17817684
0.77 * -3587573
-2762431.21
Calculate 6487107*0.11.
713581.77
Multiply -0.121342 and 11.4.
-1.3832988
Multiply -2.2 and 8016776.
-17636907.2
0.1 times -29931593
-2993159.3
What is the product of -11.856 and 4.0062?
-47.4975072
2 times -2442.797
-4885.594
Product of -102528042 and -0.3.
30758412.6
Calculate 0.1*-17568.64.
-1756.864
-0.24119578 * -0.03
0.0072358734
13035404 times -6.8
-88640747.2
-0.212483 * -7
1.487381
Work out 5.3137254 * -1.
-5.3137254
9*-4000311
-36002799
Product of 7 and -16187.74.
-113314.18
Calculate 576501*82.
47273082
What is -579617 times 86?
-49847062
Work out 0.15884113 * 0.06.
0.0095304678
-99.665 times -69.75
6951.63375
-28 times 154400
-4323200
0 * 0.1356548
0
-734.4*-1.891
1388.7504
Multiply 1 and 76083204.
76083204
Work out 1.2 * -892204.
-1070644.8
-15 * -5501.281
82519.215
-0.4 times 7675630
-3070252
What is the product of 6856 and 1600?
10969600
Multiply 0.2 and -0.4222899.
-0.08445798
What is the product of 0.09 and -27632144?
-2486892.96
-249181 * 35
-8721335
Calculate -43893331*-0.04.
1755733.24
-1 times -37100070
37100070
What is the product of -444.959 and 0?
0
What is -0.6163774 times -1?
0.6163774
What is -6.729 times 0.51?
-3.43179
-24 * 142325.31
-3415807.44
158*-360275
-56923450
Calculate -6486.226*-0.3.
1945.8678
7151 * 1144
8180744
1963 * -43356
-85107828
-45705084 * -5
228525420
Product of 563142 and -195.
-109812690
-2*-0.1310454
0.2620908
Calculate -0.783484*-3.
2.350452
78961 * 190
15002590
2687*-28.5376
-76680.5312
Product of -3609 and -47981.
173163429
3.2 * -38479
-123132.8
-0.4 times 6.980135
-2.792054
What is the product of -9146831 and 4?
-36587324
Product of 19.2 and -0.358839.
-6.8897088
Product of 3040 and 1111.49.
3378929.6
-1235 * 0.02085
-25.74975
Calculate 2*1063757.3.
2127514.6
-8*24.0074
-192.0592
What is 13277117 times 2?
26554234
109.73 * -0.0091
-0.998543
1 * 323103
323103
Product of 3.619721 and -13.
-47.056373
1.109 times -36.6
-40.5894
Work out -206691499 * -0.4.
82676599.6
Work out 7.937 * 0.33.
2.61921
Multiply 0.443687 and 1.65.
0.73208355
Work out 14.214 * -0.0616.
-0.8755824
1439 * 2.2
3165.8
Product of 234 and 7.8468.
1836.1512
-1099.850544*-3
3299.551632
2842.49469 * -0.1
-284.249469
Multiply -124160817 and -1.
124160817
17 * 0.127036
2.159612
Multiply 0.222339 and -0.01.
-0.00222339
1 times -2164531
-2164531
1050878 times 0.07
73561.46
-56674 * -338
19155812
-12906510 * 0.5
-6453255
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
(288) - (-2*sqrt(288) + -4)) + sqrt(288)) + ((sqrt(288) - (sqrt(288) + 0)) + 1 - (-3 + sqrt(288)*-2)))**2*-2.
-279584 - 21120*sqrt(2)
Simplify ((-1*(sqrt(76) - (sqrt(76) + (sqrt(76)*6 - sqrt(76)))) + sqrt(76))*-1)/((2*2*sqrt(44))/sqrt(11)).
-3*sqrt(19)/2
Simplify (-4*(-5*(sqrt(684)*-2 - sqrt(684))*-1 + (sqrt(684) + 1 + -3)*2))**2.
9984*sqrt(19) + 1849792
Simplify -3 + 4 + 5*(sqrt(245) + (3*sqrt(245))**2) + -2*(sqrt(245) - (2 + sqrt(245) + 3 - sqrt(245))).
21*sqrt(5) + 11036
Simplify (1 + 1*(-3 + (-1 + sqrt(11) + 0)**2 + 0 + sqrt(11) + -1 + sqrt(11)*-2*-4))*-2.
-14*sqrt(11) - 18
Simplify ((6*(1 + sqrt(405)) + 1)*-4 - (1*sqrt(405)*4 + (sqrt(405) - (sqrt(405) + -2*sqrt(405) + sqrt(405) + sqrt(405))*-2)))**2.
15624*sqrt(5) + 389989
Simplify (3 + ((sqrt(1500) - (sqrt(1500) - (sqrt(1500)*-2 + sqrt(1500)) - sqrt(1500)) - sqrt(1500) - sqrt(15) - sqrt(15))*4)/((1*sqrt(320) + sqrt(320))*6))**2.
-3*sqrt(3) + 39/4
Simplify ((sqrt(85) + sqrt(85) + (sqrt(85) - (sqrt(85) - -2*sqrt(85))))*-3 - 3*-3*sqrt(85))/(-3*(-1*3*sqrt(60) - sqrt(60))/sqrt(12))*-1.
-3*sqrt(17)/4
Simplify (-5*(-4 + (sqrt(1700) + sqrt(1700)*-3)*-5 + (sqrt(1700) - sqrt(1700)*-3*-2)))**2 + 3.
-10000*sqrt(17) + 1062903
Simplify (-2 + 5 + sqrt(475) + 4*sqrt(76)/sqrt(4) - (4 + (sqrt(1216) + -1*sqrt(1216) + 2 - sqrt(1216)) + 1))**2.
-136*sqrt(19) + 5507
Simplify 0 + (0 + ((1*sqrt(1088) + 4 - (-5 + sqrt(1088)*-1)) + 6*(-1 + sqrt(1088) + 2 - sqrt(1088)))*2)**2.
1920*sqrt(17) + 18308
Simplify 4*(-3 + ((((sqrt(80) - 1*sqrt(80)) + 3)*3 + 2)*-1 + 3)**2).
244
Simplify -5 + 2*sqrt(11)*-1 + (1*sqrt(33)/(sqrt(12)/sqrt(4)))**2 - (1*(-1 + -4 + sqrt(11)*2)*4)**2.
-1098 + 318*sqrt(11)
Simplify (3*(-3 + -5*sqrt(704)*2))**2 - ((1*(sqrt(396) + (-3*sqrt(396) - sqrt(396)))*1)**2 + -2).
4320*sqrt(11) + 630119
Simplify (sqrt(567) + 3 + sqrt(567) + 4 + sqrt(567) + sqrt(567) + -1 + sqrt(567) + sqrt(567) + 1 - (-3*(sqrt(567) + 1) + 0 + sqrt(567) + 0 + sqrt(567)))**2.
1260*sqrt(7) + 27883
Simplify -5 + (((-3 + sqrt(396) - sqrt(396))*-2)**2 - (sqrt(44)/(6*sqrt(4)*-2))**2) + -4.
3877/144
Simplify -4 + -4 + -1*(-3 + sqrt(720)) + ((sqrt(120) + sqrt(120)*1)/sqrt(2))/(-2*sqrt(588) + sqrt(588)).
-86*sqrt(5)/7 - 5
Simplify ((((sqrt(130) + sqrt(130)*-2 + sqrt(130))*2 - sqrt(130)) + 1*sqrt(130)*-1)*-1)/(-2*-3*sqrt(10) - 2*sqrt(360)).
-sqrt(13)/3
Simplify ((-2*sqrt(120)/sqrt(4))/((sqrt(2) + sqrt(2)*1)*-6))/((sqrt(90)/(2*sqrt(3)))/((sqrt(10) + sqrt(160))*1 - sqrt(10))).
4*sqrt(5)/3
Simplify ((sqrt(1620)/sqrt(3) - (sqrt(15) + -4*sqrt(15)*-4))/(-1*-5*sqrt(12)/sqrt(4)*1))**2.
121/5
Simplify 5 + 6*(((1*sqrt(88) + sqrt(88))*3*5)/(1*sqrt(8)*1 + sqrt(968) + sqrt(968) + sqrt(968)*-1))**2.
835/2
Simplify (5 + (sqrt(3) + sqrt(24)/(sqrt(8)*-1) - sqrt(3) - sqrt(24)/(sqrt(8)*-2)) + 2 + sqrt(30)/(sqrt(10) + 3*sqrt(90)))**2*-4.
-4948/25 + 112*sqrt(3)/5
Simplify (sqrt(56)/(sqrt(24)/sqrt(3)) + 1 + sqrt(84)/sqrt(12) + (sqrt(847) + 2*6*sqrt(847))**2 + 3)*3.
6*sqrt(7) + 429441
Simplify ((5*-2*sqrt(100))/((sqrt(125) - 2*sqrt(125)) + sqrt(5)) - ((sqrt(980)*-6)**2 - sqrt(200)/(2*sqrt(10))))*-2.
-12*sqrt(5) + 70560
Simplify ((5 + sqrt(200) + 1 + -4)*-5)**2 - (-1 + sqrt(200) + 1 + 1 + sqrt(200)*1).
980*sqrt(2) + 5099
Simplify (-5 + sqrt(1280)*-1)**2 + 5*-6*sqrt(15)/sqrt(3)*4.
40*sqrt(5) + 1305
Simplify (5 + -1 + -2*sqrt(17) + -3)**2 + 3 + 1 + sqrt(85)/(sqrt(20)/sqrt(4) + sqrt(5)) + -2.
-7*sqrt(17)/2 + 71
Simplify (-4*3*sqrt(190) + sqrt(190) + sqrt(190)*4*6 + sqrt(190))/((sqrt(1920)*-2 + sqrt(1920))/(sqrt(75)*1 - sqrt(3)))*-1.
7*sqrt(19)
Simplify 0 + (sqrt(128) - -3*sqrt(128))*-2 + (sqrt(128) - ((sqrt(128) - (1 + sqrt(128))) + -1))**2 + 1.
-32*sqrt(2) + 133
Simplify ((-3 + (sqrt(468) + (sqrt(468) - (sqrt(468) + 0)) - sqrt(468))**2)*3 - (sqrt(468) + -2*sqrt(468)*1 - (sqrt(468) + 1 + 3)))*-4 + 0.
-48*sqrt(13) + 20
Simplify (2*4*(sqrt(66) - (sqrt(66) + sqrt(66)*1)*1))/((sqrt(216)/sqrt(4)*6)/(2*sqrt(36)))*4.
-64*sqrt(11)/3
Simplify ((sqrt(49) + 3*sqrt(4900) + sqrt(4900) - sqrt(49)) + sqrt(1764)*2)/((1*sqrt(168)/sqrt(4))/(4*(sqrt(6) + sqrt(6)*1))).
416*sqrt(7)
Simplify (sqrt(468) + 2 + sqrt(468) + 4)**2*2 + 3 - (-4 + 2 + (sqrt(468) - (1*(sqrt(468) + -3))**2)).
246*sqrt(13) + 4298
Simplify -1 + sqrt(6292)*-1 + 0 + 1*(-2 + sqrt(6292))*6 + -5.
-18 + 110*sqrt(13)
Simplify ((-2*-5*sqrt(1836))/((sqrt(528)*3)/sqrt(11))*2*-2)**2.
6800
Simplify 6*(4*(1*sqrt(245) + sqrt(245)) + sqrt(245) + -3*(0 + sqrt(245)) + (sqrt(245) + 1)*-6*-6)**2*3 + 1.
381024
|
{
"pile_set_name": "DM Mathematics"
}
|
5*p**2/2 + 22*p. What is the least common multiple of 90 and a(1)?
180
Suppose -6*w + 12*w = -12. What is the least common multiple of 22/(-1 + (w - -3 - -2)) and 10?
110
Let g = -815 + 839. Suppose -5*w = -6 + 26. Find the common denominator of w - 2*(-201)/g and -73/6.
12
What is the common denominator of 481/1465 + 4/(-10) and 9 - 4*(41/22 + (-19)/(-38))?
3223
Suppose 0 = 157*c - 102*c - 1320. Let u(g) = g**3 - 3*g**2 - 7*g + 5. Let h be u(4). Calculate the least common multiple of c and (h/14)/((-1)/66).
264
Suppose -2*k - 42*b - 1 = -39*b, 0 = -3*b - 3. Calculate the common denominator of (-2)/((-64)/(-4))*(k - 21) and -2*21/612*-27.
34
Let o = 17223588/11 - 1572814. Let j = o + 7038. What is the common denominator of 47/109 and j?
1199
Let w(v) = 89*v**2 - 2*v. Let t be w(5). Let z(u) = 2*u**2 - 224*u - 5316. Find the common denominator of z(132) and 2/(-7) + t/280.
8
Let j = -4855 - -10318. What is the least common multiple of j and 9?
5463
Let p(s) = 2*s + 159. Let a(h) = -h**3 - 7*h**2 + 11*h - 22. Calculate the lowest common multiple of a(-10) and p(15).
1512
Suppose -2*w = -89*n + 84*n + 32730, 0 = n - 3*w - 6559. What is the smallest common multiple of 4 and n?
6544
Let t = -11371/72 - -1215/8. Let r = 916870515706 + -73474335647547581/80136. Let d = 2/10017 - r. What is the common denominator of t and d?
72
Let x be (-10)/(-55)*(-81294)/8. Let c = 1848 + x. Find the common denominator of c and 88/(-60)*(-65)/12.
198
What is the lowest common multiple of 6 and -21 - -148 - (10 - 12)?
258
Let j = -205 - -213. Suppose -13 - 197 = -z. Suppose -2*y + 4*x + 17 = -83, 4*y + 2*x - z = 0. Calculate the smallest common multiple of j and y.
104
Let c(h) = 2*h**2 + 10*h + 3. Let a be c(-5). Let g be (a/(-6) - (-3)/(-6)) + -65. What is the least common multiple of 16 and ((-5)/(-2) - 1)*(-5192)/g?
944
Let s be ((-7)/21)/((-2)/(-12)). Let n(w) = -27*w + 10. Calculate the smallest common multiple of n(s) and 32.
64
Let u be 12/224*(-526899484)/(-72). Let q = u + -392038. What is the common denominator of -107/6 and q?
336
Let c = 4559237/120 + -37994. What is the common denominator of c and (-4)/(80/(-14))*(-99)/7?
120
Let m(t) = t**3 + 5*t**2 - 3*t + 20. Let y be -3 + 4/((-4)/3). Let u = 91 - 69. Calculate the least common multiple of u and m(y).
22
Let z be 35/25 + -2 + 1179/(-60). Let s = z - -61/3. Calculate the common denominator of 41/42 and s.
84
Calculate the smallest common multiple of ((336/36)/(-4) - -9)*(1 - -65) and 352.
1760
Suppose 0 = 3*r - 4*z - 18, -r + 0 = 2*z + 4. Let v(a) = -20 + 86*a**r - a**3 + 9*a - 97*a**2 - 5. What is the least common multiple of 11 and v(-12)?
11
Suppose 3*c = 3*r - c, c = 3*r - 9. Suppose -298 - 14 = -r*h. What is the smallest common multiple of h and 8?
312
Let g = 538 - 7649/14. Find the common denominator of g and (-1)/2 - 234/(-56).
28
Let n = 1/1456 - 2367/1456. Suppose 55*f = 36*f + 532. Find the common denominator of (-27)/(-504)*8 - (-163)/f and n.
8
Let r = 743 + -716. Let z(c) = c**2 + 2. Let v be (0/2)/(7 - 5). What is the lowest common multiple of z(v) and r?
54
What is the common denominator of -69/656 and (-16)/820 - 13/(-65)?
3280
Suppose 4*y = -2*l + 34, y = -4*l - 0*y + 82. Let p(x) = 7*x + 57. Suppose -20 = 4*s - w, -2*s - 3 - 5 = -w. What is the least common multiple of p(s) and l?
105
Find the common denominator of 1/3*(-11 + (-3884)/(-280)) and (2/(-5))/(1488/18135).
280
Find the common denominator of 141/(-235) - 583/420 and 67/304.
6384
Let w = 2/1413 + 24224/854865. Find the common denominator of w and -109/2750.
30250
Suppose 0*m + 462 = 11*m. Suppose 0 = -4*k - 3*k + m. Calculate the smallest common multiple of k and 748/28 + 4/14.
54
Let j(q) = -q**2 + 11*q. Suppose -5*c = -3*c - 20. Let y be j(c). Let s = y + -5. What is the least common multiple of 14 and s?
70
Calculate the common denominator of (2/(-8))/(1978/172)*(-58)/4 and 41/460.
460
Let h = -37246 - -1787951/48. Find the common denominator of h and -19/1836.
7344
Let r = -31966 - -958867/30. Find the common denominator of r and (-26 - -21) + (-1788)/(-450).
150
Let r = -9/4 - -139/40. Let p = 61071/9772 + 1/2443. What is the common denominator of p and r?
40
Suppose 0 = -t + p + 18 - 12, 0 = 2*t + 3*p - 2. What is the lowest common multiple of t and 1892?
1892
Calculate the least common multiple of 256 and ((32/(-20))/(8/(-40)))/1.
256
Let i = -1931989999/2540 - -760626. Find the common denominator of 157/3810 and i.
7620
Let f = -648/7 + 93. Let z = 167/84 + f. Let i = -48419/180 + 2470/9. Calculate the common denominator of z and i.
60
Let w = 2/22737 - -356195/204633. Let a be 7*-113*((-18)/(-6))/3. What is the common denominator of (a/126)/(8/6) and w?
216
Let b = -18033/1610 - 16/161. Calculate the common denominator of b and 3/62.
310
Let u = 47 - 49. Let h be 10 - 8 - (u - (-41882)/12). Let g = h + 3497. Calculate the common denominator of g and -37/14.
42
Suppose -2*m = -3*m + 12. Suppose y - x + 5*x - 8 = 0, -49 = -2*y + 3*x. Suppose 0 = y*n - 18*n - 48. Calculate the lowest common multiple of m and n.
24
Suppose -2*p - 3*t = -50, -64*p - t = -65*p + 20. Suppose -3*y + 2*y + 4*m + p = 0, -2*y + 35 = -5*m. What is the lowest common multiple of 14 and y?
70
Let a be 8/(-20) - ((-
|
{
"pile_set_name": "DM Mathematics"
}
|
nd derivative of -205*w**3 - p*w - 3 + 57*w**5 + 205*w**3 wrt w?
1140*w**3
Let x(j) be the second derivative of j**8/8 + 15*j**7/14 + 30*j**4 + 96*j + 2. What is the third derivative of x(k) wrt k?
840*k**3 + 2700*k**2
Suppose -9*h + 156 = -5*h. What is the third derivative of -3*n**3 + 148 + h*n**3 - 39*n**2 - 150 wrt n?
216
Let j(o) be the first derivative of 1171*o**2 - 3264*o - 7233. Differentiate j(i) with respect to i.
2342
Find the third derivative of -1170*u**3 - 13*u + 14 + 190 + 1135*u**3 + 9958*u**3 - 17 - 2*u**2 wrt u.
59538
Let w(t) be the first derivative of -181/2*t**2 + 198*t - 125. What is the first derivative of w(j) wrt j?
-181
Find the second derivative of 3788*u - 656*u - 656310*u**2 + 4987*u + 656661*u**2 wrt u.
702
Let h(z) be the first derivative of -z**3 + 0*z - 2*z**4 - 41/2*z**2 - 48. Find the second derivative of h(l) wrt l.
-48*l - 6
What is the second derivative of 3282*f**3 - 4925*f**3 - 2*f**2 + 1939*f - 3*f**2 + 5*f**2 wrt f?
-9858*f
Let k(a) = -a**2 - 2*a + 2. Let s(n) = 635*n**5 + 6*n**2 - 429*n - 10. Let r(d) = -6*k(d) - s(d). Find the second derivative of r(j) wrt j.
-12700*j**3
What is the third derivative of 3398*n**2 - 2729*n**3 - 1336*n**3 + 1219*n**2 - 596*n**2 + 404*n**2 wrt n?
-24390
Find the second derivative of -4 + 564*f**2 - 22*f - 134*f - 2*f**3 - 242*f + 923*f wrt f.
-12*f + 1128
Let l(d) = -8*d - 7. Let r be l(-2). Let o = 12 - r. Find the first derivative of 15 + 13 - o + 6*n - n wrt n.
5
Let d(g) be the first derivative of 2*g**7/7 + 767*g**4/4 + 121*g**3 - 1559. What is the third derivative of d(u) wrt u?
240*u**3 + 4602
Let l(c) = 2*c**2 - 11*c - 49. Let b be l(-3). Let j be 10/((-6)/9*-3). Find the third derivative of 4*f**4 + j*f**2 + 3*f**2 - 3*f**2 - 14*f**b wrt f.
96*f
Let f(l) be the third derivative of 23*l**4/8 - 6*l**3 + 2*l**2 - 27. Let v(k) = k - 1. Let a(h) = 3*f(h) - 24*v(h). Differentiate a(u) with respect to u.
183
Let j be 3*(-3 - (-33)/9). Suppose 0 = 11*r - 489 - 1425. What is the second derivative of -3*w**3 + 174*w**2 - r*w**j - 6*w wrt w?
-18*w
Let j(w) be the first derivative of -21*w + 0*w**3 - 3/2*w**2 + w**5 - 5/4*w**4 - 2. Find the second derivative of j(m) wrt m.
60*m**2 - 30*m
Differentiate 113 - 527 - 10*t + 8*t**3 - 558 - 18*t - 873 with respect to t.
24*t**2 - 28
Suppose 0 = 271*m - 281*m + 20. What is the third derivative of -l + 23*l**m - 1 + 2*l + 57*l**5 + 12*l**2 + 1 wrt l?
3420*l**2
Let w(t) be the first derivative of 1426*t**5/5 + 1837*t - 1031. Find the first derivative of w(u) wrt u.
5704*u**3
Let c(x) = 167*x + 13. Let i(g) = 42*g + 3. Let d(v) = -v**2 - 3*v + 31. Let z be d(-8). Let w(u) = z*i(u) + 2*c(u). Differentiate w(o) with respect to o.
-44
Differentiate -67326*a**2 - 1811 + 67821*a**2 + 238 wrt a.
990*a
Let s(n) = 136*n**3 - 2*n**2 - 2*n + 3. Let z be s(1). What is the third derivative of -9*t**4 - 135 + 22*t**4 - 16*t**2 + z - 3*t wrt t?
312*t
Let l(j) = -153*j + 27*j**2 - 7*j**2 + 119*j. Let z(n) = 2*n**2 - n. Let k(t) = l(t) + 3*z(t). What is the second derivative of k(s) wrt s?
52
Let b be (-138)/(-9) + 16/(-12). Let v be (-34)/(-14) - (-8)/b. Find the third derivative of -59*n**v + 137*n**3 - 3*n**2 - 58*n**3 wrt n.
120
Let k be (-1 - (-5 + 2)) + 0. Differentiate 5 + 84*o**2 + 83*o**k - 162*o**2 - 2*o wrt o.
10*o - 2
What is the second derivative of 4 - 5793*y**3 - 7 - 41*y + 5973*y**3 wrt y?
1080*y
Let m(i) be the second derivative of 881*i**3/6 + 821*i**2 - 1743*i. Differentiate m(f) with respect to f.
881
Let i = -334 - -338. What is the second derivative of -2*m + 12*m + i*m**3 - 59*m - 50*m wrt m?
24*m
Let b = 14 - 11. Suppose b*z - h = -2*h + 65, z - 15 = -2*h. Find the second derivative of 24*p + 4 - z*p**5 - 10 + 6 wrt p.
-460*p**3
Let k(v) = 3*v - 3*v - 4 - 3*v. Let j be k(-4). What is the derivative of -7 - 10 - j + 35 - 11*u wrt u?
-11
What is the second derivative of -137048*a**2 + 149142*a**2 + 12 + 8909*a - 12 wrt a?
24188
Let p(c) be the third derivative of -605*c**8/112 + c**5/30 + 2633*c**3/2 + 2*c**2 + 621*c - 1. Find the third derivative of p(k) wrt k.
-108900*k**2
Let x(v) = -4*v - 40. Let s be x(-11). Find the second derivative of -583 - 16*l + 582 + 56*l**s - 57*l wrt l.
672*l**2
Let q(z) be the second derivative of 0*z**4 + 6 - 1/3*z**3 - 93/2*z**2 - 11*z + 1/10*z**5. Find the first derivative of q(g) wrt g.
6*g**2 - 2
Let x be 267/7 + (12/14)/(-6). Find the second derivative of 55*z**3 - 55*z**3 - 72*z + 12*z - x*z**5 wrt z.
-760*z**3
What is the second derivative of 14 - u - 9215*u**3 + 9202*u**3 - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
18 + 42. Suppose 7*a - 2*a = c. List the prime factors of a.
2
Let i(g) = -g + 2. Let n be i(0). Suppose -k + n*k = 1, 4*k = -5*d + 149. What are the prime factors of d?
29
Suppose -11*p - 1045 = -16*p. What are the prime factors of p?
11, 19
Suppose 2*w + 3*s = 37, -3*w - 3*s = w - 89. What are the prime factors of w?
2, 13
Let h = -39 + 69. What are the prime factors of h?
2, 3, 5
Let z be ((4 + -4)/2)/3. Suppose z = -2*m + 4 - 0. List the prime factors of m.
2
Let a(c) = c**2 + 9. List the prime factors of a(-5).
2, 17
Let d = 16 + 4. Suppose -3*a = 2*a + d. List the prime factors of (2 + 3)*a/(-5).
2
Suppose 7*w = -109 + 396. What are the prime factors of w?
41
Let w(h) = 15*h**3 + h**2 - 3*h - 2. Let m be w(-2). Let j be m/(-3) + 4/6. What are the prime factors of 7/(-21) + j/6?
2, 3
Let k(b) = b + 2. Let v be k(-5). Let j = 6 + v. List the prime factors of j.
3
Let s = 116 + 7. What are the prime factors of s?
3, 41
Suppose 17 = -5*q + 337. Let k = q + -34. List the prime factors of k.
2, 3, 5
Let w(k) = 3*k**2 + 3*k + 4. List the prime factors of w(4).
2
Let a(x) = -3*x - 50. List the prime factors of a(-18).
2
Suppose -5*n - 3*h + 56 + 10 = 0, 2*h - 28 = -2*n. List the prime factors of ((-51)/n)/((-2)/8).
17
Suppose -2*s = -3*h + 61, 44 + 42 = 4*h + 2*s. What are the prime factors of h?
3, 7
Suppose -6 - 4 = -5*f. Suppose -21 = -3*t + f*q + 3, 0 = 4*t - 5*q - 25. Suppose 5*d = t + 5. What are the prime factors of d?
3
Suppose 6*x - 55 = x. List the prime factors of x.
11
Suppose -37 - 41 = -2*x. What are the prime factors of x?
3, 13
Let i(p) = p**3 + 2*p**2 - p - 1. Let y be i(-2). What are the prime factors of ((-38)/(-8))/(y/4)?
19
Let j be (40/(-25))/((-4)/(-10)). What are the prime factors of (-57)/j + 1/(-4)?
2, 7
Let t be (-2)/(-11) + 212/44. Suppose -t*l + 2*d = d - 238, 0 = 2*l + 4*d - 104. What are the prime factors of l?
2, 3
List the prime factors of 492/60 - (-1)/(-5).
2
Let m be (5/(-2))/(7/126). List the prime factors of (m/12)/((-3)/16).
2, 5
Let f = -15 - -31. What are the prime factors of 12/16 + 740/f?
47
Let c = -11 - -8. What are the prime factors of (-35)/c - (-2)/6?
2, 3
Let t(q) = q**2 + 8*q + 8. List the prime factors of t(9).
7, 23
Suppose -5 = 5*j + 2*q, -j - 5*q = -1 + 2. Let n be -2*(j - 1 - 0). Suppose -3*w + 55 - 18 = -n*l, 4*w = 4*l + 44. What are the prime factors of w?
7
Let x = 6 - -4. What are the prime factors of x/(-4)*(-88)/5?
2, 11
What are the prime factors of -37*3*(-25)/15?
5, 37
Suppose n = 3*x + 88, 0 = -4*n - x - 0*x + 300. What are the prime factors of n?
2, 19
What are the prime factors of (4 - -26)*(-6)/(-4)?
3, 5
Let r = -1 - -4. Suppose -l + 6 = -r. List the prime factors of l.
3
Let d(l) = -l**3 + 8*l**2 + 8*l + 6. Let w be d(9). Let b be (w/4)/((-3)/12). Suppose b*g = 2*g + 10. List the prime factors of g.
2, 5
Let y = 285 + -153. What are the prime factors of y?
2, 3, 11
Let h(y) be the third derivative of -y**4/6 - y**3/2 + 4*y**2. What are the prime factors of h(-6)?
3, 7
Suppose 3*f - f = 3*g - 26, -2*g + 4*f + 28 = 0. Let j(w) = -4*w + 10. Let l(s) = s. Let n(m) = j(m) + 3*l(m). What are the prime factors of n(g)?
2
Let a(l) = -5*l + 3. Let x(v) = -v + 13. Let w be x(10). Let m be a(w). List the prime factors of (-66)/(-10) - m/(-20).
2, 3
Let t = 8 - 15. Let h be 395/(-35) + (-2)/t. What are the prime factors of -2 - h*1*1?
3
What are the prime factors of 5/(15/36)*23/4?
3, 23
Let d(r) = -r**3 + r**2 - r - 1. Let j be 24/(-13) + (-2)/13. List the prime factors of d(j).
13
Suppose 54 = 3*j - 42. List the prime factors of j.
2
List the prime factors of (-30)/3*(-3)/2.
3, 5
Suppose 2*d - 180 = 4*d. Let b = -54 - d. What are the prime factors of b?
2, 3
Suppose -2*g + 9 = -g. List the prime factors of g.
3
Let d(x) = -5*x**3 - x**2 - 19*x - 10. Let t(j) = -3*j**3 - 10*j - 5. Let g(k) = -4*d(k) + 7*t(k). List the prime factors of g(5).
2, 5
Suppose 4*r - 1075 = 3*s, -2*s - 1350 = -5*r + 3*s. List the prime factors of r.
5, 53
Let p(t) be the second derivative of t**3/3 + 3*t**2/2 + 3*t. List the prime factors of p(6).
3, 5
Suppose -3*f + 4 = 2*w, f + 3*f - 4*w = 12. Let q(g) = f - 5 + 0 + g + 5. List the prime factors of q(5).
7
Let a(l) = -l**2 - 9*l - 1. Let d be a(-7). Suppose -m - 6*j + 16 = -j, 3*m + 2*j = -17. Let k = d + m. What are the prime factors of k?
2
Let s = -63 + 105. List the prime factors of s.
2, 3, 7
Let q be 796/28 + (-9)/21. Suppose 3*d - 61 = j, -q = -4*d + 5*j + 46. List the prime factors of d.
3, 7
Suppose -5*f + 2 = -2*w - 7, -3*f + 3*w = 0. Suppose h = -3*l + 24, -2*h - f*h + 5*l + 60 = 0. What are the prime factors of h?
3, 5
Let u(z) = -z**3 - 4*z**2 - 3*z. Let g be u(-2). Let v be (-71 + -1)*1/g
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to -2/63? (a) 9.3 (b) 3 (c) -3 (d) 0 (e) -9/37
d
Which is the closest to -13328? (a) -2 (b) -0.1 (c) -266 (d) 0.2
c
Which is the closest to 1/4? (a) 3.84 (b) -4 (c) 4.37 (d) 3
d
What is the nearest to 27.3 in 4/5, -946, -0.09?
4/5
Which is the closest to 251? (a) 0.4 (b) -3/4 (c) 2 (d) 5
d
Which is the closest to 1? (a) -46383898 (b) -1/10 (c) -2
b
What is the closest to -2/317 in 1/5, -1/3, 21, -75, 5?
1/5
What is the nearest to 848 in -2, -0.4, -0.04?
-0.04
What is the nearest to -2 in 4, 40, 104, -3/5, -1?
-1
Which is the closest to -1514? (a) -0.04 (b) -4 (c) -3 (d) 0.5 (e) -0.02 (f) -0.1
b
What is the nearest to 0.04 in -22, -0.4, 3, -2403?
-0.4
What is the closest to 3/2 in 4/7, 1/2, 56, 0, -169?
4/7
Which is the closest to -9/146435? (a) 3/7 (b) 0.2 (c) -2/7 (d) 4
b
What is the nearest to 2 in 0.016, 1334832, 3/4?
3/4
What is the nearest to -4894 in -2/3, 218, -1, -0.1?
-1
Which is the nearest to 0.1? (a) -2/213 (b) -2 (c) -1450253
a
Which is the nearest to 6/7? (a) -1/4 (b) -2/7363 (c) 2/3
c
Which is the nearest to 5/3? (a) 2/31 (b) 2/23 (c) -2/59 (d) 0.2 (e) -0.2
d
What is the closest to 9/5 in 16, 3, 163, -38?
3
What is the nearest to 293 in 13, -0.15, 0.2, 3, 3/5?
13
Which is the closest to -0.1? (a) 2/5 (b) -1 (c) 30200.5 (d) -2/7 (e) -1/5
e
What is the nearest to -20 in 287, -0.4, -4, -74?
-4
Which is the closest to 5? (a) 397/6 (b) -4 (c) 0.3 (d) 0 (e) 2/5 (f) 1/4
e
What is the closest to -0.31 in -0.3, 0.1, -4, 4993, 3?
-0.3
What is the nearest to -0.6 in -1/70, 3, 3/2, 637?
-1/70
What is the closest to 36 in -0.3, -2.7, -3/4, -3, 1/7?
1/7
What is the nearest to 861 in -5, -0.1, -16, 19?
19
What is the nearest to 2/5 in 1/522, -1/7, -16, 15/11?
1/522
What is the closest to -484 in 2079, 0.1, 5?
0.1
Which is the nearest to -1.29? (a) 94 (b) -4 (c) -0.1 (d) 4 (e) -98
c
What is the nearest to 654 in -1/4, 1/12, -4, -0.3?
1/12
What is the nearest to 3 in 3/4, -2379, -4, 0.8?
0.8
Which is the closest to 0.5? (a) -91 (b) -0.1 (c) 0.1 (d) -12
c
What is the nearest to -0.1 in 4/13, 0.03, 3/118, 0.4, 2?
3/118
What is the closest to -10 in -1485, -0.4, -11, 2, -0.5?
-11
Which is the nearest to -98? (a) -0.1 (b) -186 (c) -13 (d) -2/9
c
What is the nearest to -3/2 in -1, 2/25, -0.05, 4.9, -25, -8?
-1
Which is the nearest to 2? (a) 84 (b) -693 (c) 1.1
c
What is the nearest to -2/3 in -199, 2/7, -2, 3, 6184?
2/7
What is the nearest to 82 in -88, 568, -6?
-6
What is the closest to 1161 in -0.2, 6, 5, 0.08, 24?
24
Which is the closest to -0.5? (a) 0 (b) -7502 (c) 0.06 (d) -2.7 (e) -3 (f) -2
a
Which is the nearest to 1? (a) -2/11 (b) 11 (c) 10.2 (d) 288 (e) 2
e
What is the nearest to 0.1 in -444, -10/7, -2/3, 0.5, 0.1?
0.1
Which is the closest to 0.1? (a) -14 (b) 175 (c) 3/7 (d) -0.1 (e) 0.4
d
Which is the closest to 2/63? (a) -5 (b) -1/7 (c) -1 (d) -1/29
d
Which is the closest to 4.3? (a) 4 (b) 1 (c) -0.9 (d) -16 (e) 83
a
Which is the nearest to 6? (a) -294 (b) 0 (c) 0.5 (d) 2/79 (e) 374
c
What is the closest to 0 in 6/13, -3, -3166, 36?
6/13
Which is the closest to 183? (a) -1 (b) -2/19 (c) 1/16 (d) 1/9 (e) 0
d
Which is the closest to -1? (a) 3446470 (b) -2 (c) 5
b
What is the nearest to -1 in -212, -0.3, -2.9, -2, 1?
-0.3
What is the closest to -0.2 in 0.1, -1/30, 43, 1.1, 1/492?
-1/30
Which is the nearest to 5? (a) 52/3 (b) 10 (c) 168.16
b
Which is the closest to 10? (a) 2 (b) 0 (c) 142/9 (d) -0.2
c
What is the closest to -2/7 in -4, -2/21, 2/81, 0.5, -33817?
-2/21
Which is the nearest to 46/7? (a) 0.405 (b) 4 (c) -4 (d) -2/11
b
Which is the closest to 10/17? (a) -2 (b) -986.4 (c) 1/2
c
What is the nearest to -2/5 in 1/6, 2, 2/5, 3, -1/4, -469/24?
-1/4
Which is the nearest to -2? (a) -308 (b) 2 (c) -0.2 (d)
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1/4*t**4 + 1/2*t**2 - 1/3*t**3. Calculate the lowest common multiple of 11 and h(0).
77
Suppose 2*t + 2*w - 4 = 168, w - 4 = 0. Let s = t - 64. Calculate the lowest common multiple of s and 6.
18
What is the common denominator of 68/9 and ((-5)/(-6))/((-204)/24 - -13)?
27
Let s = 21 - 20. Let l be (0 + s)*(1 + 9). Suppose -3*x - 2 = -4*m - 0, 2*m + 3*x = l. What is the least common multiple of m and 10?
10
Let n = 21 - 15. Suppose 11*s = n*s + 40. What is the smallest common multiple of (-1)/(3 + (-26)/s) and 14?
28
Suppose 0 = 4*l + 8, 5*l - 52 = 3*z - z. Let g = 22 - z. Suppose 5*d = -2*n - 4 + g, 0 = n + 3. Calculate the lowest common multiple of d and 2.
22
Let r(v) be the second derivative of -v**3/6 - 2*v**2 - v. Let q = -796 - -780. What is the lowest common multiple of r(q) and 4?
12
Let o(c) = -2*c**2 - 26*c + 18. What is the smallest common multiple of 60 and o(-13)?
180
Let c = -761/306 + -284/51. Let i be 2 + -2 + 659883/48. Let l = -13753 + i. Calculate the common denominator of l and c.
144
Let o be (-432534)/(-8)*182/24. Let q = -412489 + o. Let p = q + 2484. What is the common denominator of p and 53/6?
48
What is the least common multiple of -4*((-122)/(-16))/(5/(-30)) and 10?
1830
Let i = 2/13 - 619/52. What is the common denominator of i and -2*(1 + 5 - (-49)/(-11))?
44
Let j = 2732 + -24553/9. Find the common denominator of j and 45/2.
18
Let g = 122087/30 - 4070. What is the common denominator of g and 69/10?
30
Suppose -4*k = -3*k - 22. Suppose 4*h - 60*n - 162 = -65*n, 3*h - 104 = 5*n. What is the smallest common multiple of k and h?
418
Let y = 1291 + -5101/4. Calculate the common denominator of (-200)/(-154) + (-9)/(-21) and y.
44
Suppose -13*j + 30 + 48 = 0. Find the common denominator of (j/15)/(12/(-285)) and -21/55.
110
Suppose 2*i - 3*i + 4646 = 0. Suppose -4170 = -q + i. Let o = 52771/6 - q. What is the common denominator of o and 45/7?
42
Find the common denominator of (-21)/(-42) + (-33)/81 and 65/108.
108
Suppose 0 = 44*c - 45*c - i + 6, -5*i = -2*c - 2. Let m = 7 - -9. What is the least common multiple of m and c?
16
Let i = -41/15 + -164/15. What is the common denominator of 15/13 and i?
39
Suppose -4*w = -w. Suppose -4*x + 12 = w, -2*b + 6 = -3*x - 13. Suppose 3*m = -3*z - m - 4, -4 = -2*z - m. What is the smallest common multiple of z and b?
28
Let b be 26/52 - (-45166)/9640. Let w = b + -17/482. Find the common denominator of 1/36 and w.
180
What is the common denominator of 213/20 - 21*(-22)/(-77) and 13/6?
60
What is the common denominator of 39/9 + (0 - 1) and -25 - (-2)/6*(5 + -2)?
3
Suppose q + 0 = -2*b + 1, -2*b + 5*q = -31. Suppose 5*y - 5 = -b*f, -f = -5*y - 2*f + 15. What is the lowest common multiple of 8 and y?
8
Suppose -r - 5*d = -27, -5*d + 8 + 7 = -5*r. Let i(f) = -f**2 - 2*f + 3. Let h be i(3). Let j = h - -18. What is the smallest common multiple of j and r?
6
Let j = 577711/18 - 32087. What is the common denominator of j and -47/12?
36
Suppose 60 = 5*w - 2*b, -b - 4 - 19 = -2*w. Calculate the lowest common multiple of (-2)/w + 150/21 and 5.
35
Find the common denominator of ((-33)/138)/((260/(-50))/13) and 47/6.
276
Let b = -293 + 455. Calculate the least common multiple of 48 and b.
1296
Let z(x) = -x**3 - 33*x**2 - 62*x + 7. Calculate the lowest common multiple of 102 and z(-31).
714
Let j(l) = -l**3 - 8*l**2 - 12*l - 28. Let m(z) = z**3 - 10*z**2 + 14*z + 9. Let c be m(8). Calculate the smallest common multiple of 28 and j(c).
28
Let q = 599 - 575. Calculate the lowest common multiple of q and 15.
120
Suppose -x = -3*g + 18, -4*g + 10 + 14 = -5*x. Calculate the smallest common multiple of 3 and g.
6
Let y be 0/(5/(0 - -5)). Suppose -z = -y*z - 8. What is the least common multiple of 42 and z?
168
Find the common denominator of 4/((-32)/12)*(-278)/(-252) and -25/32.
672
Let u = 4588/3 + -536786/351. What is the common denominator of -7/6 and u?
702
Let o(w) = 8*w + 1. Let u be o(1). Let x = u - 15. Calculate the common denominator of -77/6 and 195/x*2/10.
6
What is the common denominator of -97/24 and (259/36 - (-18)/(-180)) + -7?
360
Let d = -114583813/528 + 217015. Calculate the common denominator of 131/12 and d.
528
Let x = -2/4085 + -228754/12255. Let p be (3142/6)/(166/3). Let c = p + 3/83. What is the common denominator of x and c?
6
Let m = -7 - -11. Suppose -4*b - 244 = b - 3*t, 4*t + 208 = -m*b. What is the common denominator of b/18 + (2 - 2) and -25/4?
36
Let k = 38 + -37. Let r(h) = 34*h + 2. Calculate the smallest common multiple of 14 and r(k).
252
Let q(l) = 4*l**2 - l - 9. Calculate the least common multiple of q(7) and 2.
180
Suppose 25 = 4*k + k. What is the common denominator of 2/k - (-394)/(-260) and 33/7?
182
Suppose 2*x - 2*c - 164 = 0, 3*c = -x + 97 - 3. Calculate the lowest common multiple of x and 20.
340
Let v(z) = 4*z**2 + 28*z - 14. Calculate the least common multiple of v(-8) and 165.
990
Suppose -7*u + 312 = -5*u. Find the common denominator of (u/(-176))/(-4 - 2) and 71/12.
264
Let l = -1918/2025 + -14/81. Find the common denominator of 34/25 and l.
25
Suppose 0 = -4*s + 16 + 8. Suppose 1 - s = u. What is the least common multiple of 12 and (-5)/u*2*10?
60
Let d = 676017/41 - 16489. Calculate the common denominator of d and 41.
41
Suppose -2*j + 5*j = 6. Suppose 0*l = -j*l + 4. What is the smallest common multiple of l and 3?
6
|
{
"pile_set_name": "DM Mathematics"
}
|
*5
Expand (-17 + 17*k**2 + 0*k**2 - 14*k**2)*(-2*k + k**3 + 2*k).
3*k**5 - 17*k**3
Expand 3 + f**4 - 3 - 40*f**4 + 44*f**4 - 63*f**4 + 3*f**4 - 5*f**4 + 4*f**4 + (-4*f**4 + 3*f**4 + 0*f**4)*(-3 + 2 - 1).
-54*f**4
Expand 0*w**2 + 13*w**2 + w**2 + (3*w + w - 2*w)*(5*w - 4*w + 0*w) + 2*w + 2*w**2 - 2*w + (w + w**2 - w)*(2 + 4 - 4) + 2*w**2 + 2*w**2 - 2*w**2.
22*w**2
Expand (0 + 0 + b)*(-5 - 2 + 4)*(2 - 7 - 5).
30*b
Expand (-1034 + 6*z + 1034)*(-6*z - 3 + 2*z + 1).
-24*z**2 - 12*z
Expand (0*a + 0*a + 2*a**3)*(-a - a**2 + a) + (-2*a**2 + a**4 + 2*a**2)*(29*a - 172 + 172) + a**3 - a**3 + a**5.
28*a**5
Expand (-5*n + n + 0*n)*(0*n**3 - n**3 + 3*n**3 + 2*n**3 - 5*n**3 + 4*n**3 + (-n**2 - 5*n + 5*n)*(n + 2*n - n) + 2*n**3 - n**3 + 0*n**3).
-8*n**4
Expand (-n + n - n)*(-11*n**3 + 27 - 27)*(0*n - 3*n + 5*n).
22*n**5
Expand (-1 + 1 - 1)*(-3 - 776*o + 763*o - 8).
13*o + 11
Expand -3*c**4 + 2*c**4 + 0*c - 2*c + 2 - 3*c**4 - 2 + (2*c**2 - c**2 - 4*c**2)*(-6 + c**2 + 6).
-7*c**4 - 2*c
Expand -2*g**2 + 2*g**2 + g**2 + 4*g**3 + (-3*g + 2*g + 3*g)*(-20 + 3*g**2 + 20).
10*g**3 + g**2
Expand (w**2 + w**2 + 0*w**2)*(2*w**2 - 198*w + 215*w - 2*w**3 + w**3).
-2*w**5 + 4*w**4 + 34*w**3
Expand (-4*m - m**2 + 4*m + (5 - 3 - 3)*(2*m**2 + m**2 - 2*m**2) - 2 + 2 - 2*m**2)*(2 + 80 + 19).
-404*m**2
Expand (2*b - 2*b - b)*(2 - 2 + b)*(14 - 95 + 5).
76*b**2
Expand (-22*t - 7*t + 19*t - t + 4*t - 5*t + (0*t - t + 0*t)*(1 + 1 + 0) + 6*t - 3*t - 2*t)*(-12*t**2 - 9 + 9).
156*t**3
Expand -14 + 14 - 4*m**3 - 7*m**3 + 3*m**3 + 0*m**3 + 2 - 2*m**3 - 2 + (m**2 + 0 + 0)*(-1 - 2*m + 1) + m**3 - m**3 + m**3.
-11*m**3
Expand (3*o - 2*o + 0*o + 2*o + o - o + (-1 - 5 + 5)*(-o + 3*o - 4*o) - 3*o - 2*o + 4*o - 2*o - 2*o + 5*o)*(-o**2 - 82*o**4 - 36 + 81*o**4 - 14).
-5*o**5 - 5*o**3 - 250*o
Expand (0 + o + 0)*(-4 - 1 + 3) - 7 + 7 + 3*o + (-o + 4*o - o)*(-5 - 1 + 4) + 3*o + 4*o + 0*o + 2*o + 0 + 0.
6*o
Expand (3 - 3 - 67)*(0*n - 3*n + n)*(5*n**3 - 6*n**2 - 2*n**3 - 2*n**3).
134*n**4 - 804*n**3
Expand (f - 2*f + 4*f)*((-1 + 0 + 3)*(-38 - 15*f + 38) + 0*f + 2*f + 0*f).
-84*f**2
Expand (-5 + 1 + 3)*(-89*h**4 + 89*h**4 + 3*h**5).
-3*h**5
Expand (3*s + 0*s - s)*(-1 - 1 + 0) + 2*s - s + 0*s + (-6*s - 4*s - s)*(-1 + 3 + 0).
-25*s
Expand (-2*h**3 + 0 + 0 + (h - 2*h + 3*h)*(-2*h**2 - h**2 + 2*h**2))*(-12*h + 8*h - 28*h).
128*h**4
Expand (-27*x + 1 - 46*x + 57*x)*(x**3 + x**2 - x**2).
-16*x**4 + x**3
Expand w - 3*w + w + (-5*w + w + 3*w)*(7 - 3 + 1) + 6*w + 0*w - 2*w - 3*w + 4*w - 2*w.
-3*w
Expand (-22*b**2 - 295 + 295)*(14 - 7*b - 14).
154*b**3
Expand (-2*a**3 + 5*a**3 - 8*a - 4*a**3)*(-10*a + 4*a - 6*a).
12*a**4 + 96*a**2
Expand (3*v**3 - 2*v**3 - 3*v**3)*(-466 + 615 + 458 + 1012).
-3238*v**3
Expand (-1306*g - 1424*g + 2234*g)*(0 + 2 - 1).
-496*g
Expand (2*v + 0*v + 0*v)*(51 + 23 - 39).
70*v
Expand 8*w + 6 - 21*w - 7*w + (-2 + 2 - 2)*(-3*w + 2*w + 6*w).
-30*w + 6
Expand (-67 + 44 + 57)*(m - 3 + 3) - m + 3*m - m + (-1 + 0 + 2)*(5*m + m - 4*m) - 4*m + 3*m + 2*m.
38*m
Expand (w**2 + 2*w**2 - 2*w**2)*(521*w - 13884 + 13884).
521*w**3
Expand (-3*z + 3*z - 3*z)*(-6 + 3 - 2) + 0 + 0 + 10*z - z + z + z.
26*z
Expand (0 - 2 - 1)*(-2 + 0 - 2*i - 6) - 3*i - 14*i + 25*i.
14*i + 24
Expand (6 - 6 + 4*m)*(10*m + 0 - 7*m + 2).
12*m**2 + 8*m
Expand (-8 - 2 + 2)*((-4*i**3 + i**3 + 4*i**3)*(3 - 5 + 4) - i**3 + i**3 - i**3 - 2*i**3 + i**3 - i**3).
8*i**3
Expand (4 - 4 + 2*a)*(a - 3*a + 4*a) - a**2 + 0*a**2 + 0*a**2 + (a - 5*a + 0*a)*(-a + a + 2*a) + 0*a**2 + 3*a**2 - 5*a**2.
-7*a**2
Expand (0*j - 2*j + 3*j)*(0*j**2 + 15955 - 16874 - j**2).
-
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*h - 9*h - 7*h**5 + 15*h**5 wrt h?
160*h**3
Let m(z) be the first derivative of -z**7/7 - 8*z**3/3 + 18. What is the third derivative of m(r) wrt r?
-120*r**3
Let c = -7 - -5. Let y be 2 + c - (-1 - 0). Differentiate 4*z**4 - y + 3 - 3*z**4 with respect to z.
4*z**3
Let n(o) = -o**3 - 6*o**2 + 6*o - 8. Let w be n(-7). Let d be -1*(-6)/(-3)*w. What is the third derivative of 2*f**2 + d*f**5 + f**5 - f**5 wrt f?
120*f**2
Let i(f) be the third derivative of 0*f**3 + 0*f - f**2 - 1/30*f**7 + 0*f**5 + 0 + 5/24*f**4 + 0*f**6. Find the second derivative of i(l) wrt l.
-84*l**2
Let a(x) = x**5 + 5*x**4 - 8*x**2 - 5*x + 5. Let z(u) = -3*u**4 + 4*u**2 + 3*u - 3. Let j(m) = -3*a(m) - 5*z(m). Find the third derivative of j(v) wrt v.
-180*v**2
Let y(b) be the third derivative of -3*b**5/20 - b**3/2 + 8*b**2. Find the first derivative of y(c) wrt c.
-18*c
Let c = -1 - 3. Let x be 28/21*(-6)/c. Find the third derivative of 3*g**4 - g**2 - x*g**3 + 2*g**3 + 0*g**4 wrt g.
72*g
Let m(k) be the third derivative of k**9/1512 - k**5/40 + k**3/2 + k**2. Let j(p) be the first derivative of m(p). Find the second derivative of j(h) wrt h.
40*h**3
Let v(c) = -c - 13. Let o(d) = 2*d + 14. Let a(m) = -6*o(m) - 5*v(m). Differentiate a(k) with respect to k.
-7
Let r(y) be the second derivative of y**3 - y**2/2 + 12*y. Differentiate r(q) wrt q.
6
Find the third derivative of -10*n**2 + 13*n**2 + 19*n**5 + 10*n**2 wrt n.
1140*n**2
Find the third derivative of k**4 + 5*k**2 + k - k**2 - 4*k**3 + 0*k wrt k.
24*k - 24
Differentiate 26*q**3 - 1841*q**2 + 1841*q**2 - 23 wrt q.
78*q**2
Suppose -j - 4*o = 12, 5*j + o = -0*o + 35. Differentiate j + 3*g - 3 - 2 - 2 with respect to g.
3
Let o(w) be the first derivative of 4*w**2 + 52 + w - 2*w - 53. What is the derivative of o(c) wrt c?
8
Let p(h) be the second derivative of 11*h**5/20 - 3*h**3/2 - 9*h. What is the second derivative of p(m) wrt m?
66*m
Let b(t) be the first derivative of 4*t**5/5 - t**3/3 - 6. What is the third derivative of b(z) wrt z?
96*z
Let h(s) be the third derivative of 5*s**9/504 + s**5/15 + s**2. Find the third derivative of h(g) wrt g.
600*g**3
Let y(w) = -w**3 - 3*w**2 - w + 3. Let z(k) = k**3 + k**2 - 1. Let t(i) = 2*y(i) + 6*z(i). Find the second derivative of t(p) wrt p.
24*p
Let k(i) be the second derivative of -i**6/15 - i**5/20 + 35*i**4/12 - 59*i. Find the third derivative of k(u) wrt u.
-48*u - 6
Suppose -2*k + 4 + 6 = 0. Suppose -11 = -k*z - 1. What is the derivative of 0 + 4*g**z + 1 - 2*g**2 wrt g?
4*g
Let j(y) = -7*y**4 - 2*y - 23. Let x(w) = 22*w**4 + 7*w + 70. Let p(l) = -14*j(l) - 4*x(l). What is the first derivative of p(d) wrt d?
40*d**3
Let v(p) be the third derivative of 5*p**8/168 + p**4/4 + 9*p**2. Find the second derivative of v(m) wrt m.
200*m**3
Let w(k) be the third derivative of -k**8/168 - k**7/6 - 7*k**4/8 + 4*k**2 - 6. Find the second derivative of w(t) wrt t.
-40*t**3 - 420*t**2
Let k(a) be the third derivative of 11*a**5/20 - 31*a**3/6 + 12*a**2. Find the first derivative of k(v) wrt v.
66*v
Let w be ((-10)/5)/(-1 + 2). Let j(t) = 5*t**2 + 9*t - 5. Let h(z) = -z**2 - 2*z + 1. Let i(r) = w*j(r) - 9*h(r). Differentiate i(o) with respect to o.
-2*o
Find the second derivative of -2*b**5 - 5*b + b - 2*b**5 + b**5 wrt b.
-60*b**3
Let d(p) = p**4 + p + 1. Let y(x) = -8*x**5 + 6*x**4 + 11*x + 6. Let b(k) = -6*d(k) + y(k). What is the second derivative of b(z) wrt z?
-160*z**3
Let b be (-1 - -1)/(-4) + 2. What is the third derivative of g**b - 3*g + 0*g**5 + 3*g + 6*g**5 wrt g?
360*g**2
Find the second derivative of 47*t - 3173*t**3 + 3173*t**3 + 55*t**4 wrt t.
660*t**2
What is the third derivative of 3*m**3 - 167 - 18*m**2 - m**4 + 0*m**2 + 167 wrt m?
-24*m + 18
Let z be (-4 + 1)*(-7)/7. What is the second derivative of -6*v**3 - 4*v + v**z - 2*v**3 + 5*v wrt v?
-42*v
Let z(k) be the third derivative of 0 + 0*k**4 - 1/3*k**3 - 4*k**2 + 0*k + 1/60*k**5. What is the first derivative of z(y) wrt y?
2*y
Let k(f) = f**3 - 7*f**2 + 7*f - 3. Let b be k(6). What is the second derivative of x**3 - x + 2*x - 3*x**b + 0*x wrt x?
-12*x
Let p(d) be the third derivative of -d**10/1260 + d**6/72 - d**3 - 4*d**2. Let w(a) be the first derivative of p(a). Find the third derivative of w(s) wrt s.
-480*s**3
Let y(c) be the third derivative of 17*c**4/24 + 25*c**3/3 + 2*c**2 - c. Find the first derivative of y(o) wrt o.
17
Differentiate -138*x**2 + 21*x**4 + 138*x**2 - 7 with respect to x.
84*x**3
|
{
"pile_set_name": "DM Mathematics"
}
|
b) be the third derivative of -1/24*b**4 + 0*b - 6*b**2 + 0*b**a + 0. Let r(h) = 2*h**2. Calculate s(r(q)).
-2*q**2
Let o(i) = -4*i**2 - 14086. Let k(l) = 7*l. Give k(o(m)).
-28*m**2 - 98602
Let s(m) = 143*m**2 - 3*m. Let j(a) = -2*a. Calculate s(j(l)).
572*l**2 + 6*l
Let g(a) be the second derivative of a**3/3 - a. Suppose -3*h + h = -4. Let v(o) = -o**h + 9*o - 5*o - 4*o. Determine v(g(y)).
-4*y**2
Let w(y) = 13*y**2. Let k(j) = -j**2 - 5*j + 5. Let c(b) = 177*b - 14 + 2*b**2 - 315*b + 152*b. Let z(m) = 5*c(m) + 14*k(m). Calculate w(z(p)).
208*p**4
Let m(c) = -3*c**2. Let k(b) be the first derivative of 47*b**3/3 - 19. Calculate k(m(q)).
423*q**4
Let a(g) = 2*g. Suppose -h - 2 - 2 = 0. Let n = 6 + h. Let d(r) = -r + 0*r + n*r. Calculate d(a(z)).
2*z
Let g(z) = z**2. Suppose 3*l = -12, l = -t - l. Let n(j) be the first derivative of -1 + j**2 + t + 2. Give n(g(a)).
2*a**2
Let b(l) = -692*l + 213*l + 353*l. Let o(c) = 3*c. Calculate b(o(i)).
-378*i
Let l(n) = n**2 + 2. Let c(q) = 6*q**2 + 13. Let w(r) = 6*c(r) - 39*l(r). Let u be (-2)/7 + (-92)/(-28). Let k(m) = 9*m + m + 2*m - u*m. Calculate k(w(t)).
-27*t**2
Let d(i) = 4*i. Let y(h) be the first derivative of 19*h**3/6 - 21*h + 35. Let t(l) be the first derivative of y(l). Determine d(t(w)).
76*w
Let z(v) = -4*v. Let k(g) = 5*g. Let s(y) = -6*y. Suppose -n = -3*n + 12. Let i(m) = n*s(m) + 7*k(m). Calculate z(i(j)).
4*j
Let w(l) = 7*l**2 - 163*l. Let h(x) = -x**2 + 27*x. Let n(z) = 39*h(z) + 6*w(z). Let v(j) = -2*j**2. What is n(v(s))?
12*s**4 - 150*s**2
Let x(l) = 4*l. Let g(s) = 98383*s**2. What is x(g(i))?
393532*i**2
Let c(t) be the first derivative of -t**3 + 2. Let z(r) = -2*r - 26. Let o(n) = -n - 26. Let m(h) = -o(h) + z(h). Calculate m(c(w)).
3*w**2
Let h(d) be the second derivative of 0 - 1/12*d**4 + 0*d**3 + 0*d**2 + 19*d. Let m(u) = -2*u. Give m(h(r)).
2*r**2
Let y(u) = 215*u + u**2 - 49*u - 56*u - 52*u - 53*u. Let n(l) = 4*l. Give y(n(r)).
16*r**2 + 20*r
Let i(h) = -2*h**2. Let p(l) = -97148*l**2. Calculate p(i(a)).
-388592*a**4
Let f(r) be the first derivative of -2*r**2 - 2*r**2 - 5 - r**2 + 3. Let u(x) = 5*x**2 + 6*x. Let d(n) = n**2 + n. Let p(v) = 6*d(v) - u(v). Determine f(p(o)).
-10*o**2
Let i(b) = 0*b**2 - 4*b**2 - 6*b**2. Let s(t) = -2*t**2 + 7*t - 1. Let z(c) = 27*c**2 - 77*c + 11. Let k(j) = 11*s(j) + z(j). Determine k(i(n)).
500*n**4
Let q(t) = -77*t. Let r(a) = 366*a**2 + 3. Give q(r(y)).
-28182*y**2 - 231
Let h(i) = 4*i**2. Let u(m) = -25016*m. Give u(h(a)).
-100064*a**2
Let q(n) = -2*n. Let z be 448/24*(-9)/(-6). Let d(x) = 36*x**2. Suppose t + 4 = 7. Let c(o) = -4*o**2. Let p(a) = t*d(a) + z*c(a). Determine p(q(v)).
-16*v**2
Let f(d) = -17*d**2 + 4*d + 2. Let o(z) = 84*z**2 - 22*z - 11. Let h(u) = 11*f(u) + 2*o(u). Let c(n) = 13*n**2. Determine c(h(y)).
4693*y**4
Let l(x) be the second derivative of -x**6/720 - x**4/6 - 5*x. Let b(j) be the third derivative of l(j). Let q(p) = -12*p**2. Give b(q(v)).
12*v**2
Let r(y) = y - 1. Let s(p) be the third derivative of -p**3/6 - 6*p**2. Let m(h) = 2*r(h) - 2*s(h). Let v(b) = -11*b**2 + b**2 + b**2 + 0*b**2. What is v(m(i))?
-36*i**2
Let v(b) = 140*b. Let i(k) = -23*k. Let p(f) = -30*i(f) - 5*v(f). Let c(d) = 9*d + 2. What is c(p(g))?
-90*g + 2
Let l(q) = 3 - 3 - 3*q + 0. Let w = 40 - 25. Let z(j) = w*j - 4*j - 8*j. Determine l(z(t)).
-9*t
Let z(i) = 4*i**2 - 2. Let s(c) = 7*c - 31735 + 31735. Calculate s(z(p)).
28*p**2 - 14
Let h(w) = -2*w - 36 + 78 - 42. Let a(v) = 9*v + 5. Let u(o) = -4*o - 3. Let j(q) = -3*a(q) - 5*u(q). What is j(h(x))?
14*x
Let r = -13 - -19. Let w(o) = 9*o - r*o - 6*o. Let l(s) be the first derivative of 3*s**2/2 + 5. Determine w(l(y)).
-9*y
Let f(n) = -76*n + 6. Let h(y) = -13*y + 1. Let s(c) = f(c) - 6*h(c). Let z(r) =
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -3*j + 17 = 2. Suppose -80 = j*t - h*t. Is 8 a factor of t?
True
Let m(q) = q**2 - 6*q - 2. Is m(8) a multiple of 3?
False
Suppose -2*w = 2*i - 354, 0 = -8*i + 3*i + 5*w + 935. Is 13 a factor of i?
True
Suppose 4*o - 64 = 3*o. Let u = o + -21. Does 20 divide u?
False
Suppose 5*p - 6 = -5*x - 1, -2*p + 7 = 3*x. Suppose -2 = 2*l + c - 1, x*l = 4*c + 4. Suppose l = 3*b - 2*b + 3*i - 22, 4*i = 12. Is b a multiple of 13?
True
Let q(b) = 2*b**2 - 4*b. Let w be (2/4)/((-2)/(-12)). Let j be q(w). Let f(g) = g**3 - 4*g**2 - 9*g + 8. Is f(j) a multiple of 13?
True
Let u = 15 + 3. Does 5 divide u?
False
Let m(l) = -4*l + 12. Is m(-6) a multiple of 24?
False
Let t(r) = r - 1. Let n be t(1). Suppose 3*j + 18 = 4*p + p, 0 = -j - 1. Suppose -35 = -4*i - n*d - p*d, d = 3*i - 10. Does 3 divide i?
False
Suppose 3*d - 10 = 2*d. Is 5 a factor of d?
True
Is 11 a factor of (-3)/(3/(-214)) - (6 - 5)?
False
Suppose q + 9 = 5*r, 0 = -5*r + 4*q + 8 - 2. Suppose -3*j = 5*a - r*a - 27, 0 = 3*a + 12. Is 5 a factor of j?
False
Suppose -2*w + 0*w = 3*k - 5, -4*k = -5*w - 22. Let m be ((-1)/w)/(1/6). Suppose -2*c = 5*n - 18 + 6, 5*c - m*n = 61. Does 11 divide c?
True
Let z = 11 + -31. Is (-495)/z + 2/8 a multiple of 8?
False
Suppose 3*n = 13 + 23. Suppose 0*w = 2*w - n. Let l = w + 13. Is l a multiple of 11?
False
Let f = 220 - 140. Does 20 divide f?
True
Let s(j) = -8*j - 62. Is s(-9) a multiple of 2?
True
Let i(y) = -5*y**3 - 4*y**2 - 3. Does 48 divide i(-3)?
True
Suppose -3*i - 20 = -5*i. Let h = i + -9. Is h/(-2)*(-42 - -2) a multiple of 10?
True
Let z = -187 - -322. Is 15 a factor of z?
True
Let b = -13 + 7. Let r be (2 - b/(-4))*-4. Does 5 divide r*(1 - 4 - 4)?
False
Let a = 8 - 8. Suppose -4*i - t + 88 = a, -6*t + 2*t = 3*i - 66. Is i a multiple of 22?
True
Let b be (2 + -6)*30/8. Let a be b/(-3)*(-2)/5. Is a/8 - 195/(-12) a multiple of 8?
True
Let p = 18 + 77. Is 26 a factor of p?
False
Is 34/4 + (-9)/(-6) a multiple of 4?
False
Let n = -10 - -12. Suppose p = -n*p + 120. Does 20 divide p?
True
Suppose 0 = r - 3*r. Suppose r*w + 30 = w. Is w a multiple of 10?
True
Suppose 2*l + 2 = -0*l. Suppose v - 2 - 1 = 0. Let y = v - l. Does 2 divide y?
True
Let p = -8 + 19. Let z = 30 - p. Does 19 divide z?
True
Does 17 divide (-314)/(-6) - 8/(-12)?
False
Suppose 3*q - 3*f = 15, 21 = -2*q + 7*q - f. Suppose 0*o - 5*c - 43 = -o, -5*o - q*c = -360. Does 34 divide o?
True
Suppose -9 = -3*l - 2*n - 2, 5*l = -5*n + 5. Suppose -3*v + 125 = l*z, -3*z = -0*v + v - 43. Is 10 a factor of v?
True
Let k = 0 + 6. Let c be (-3)/((27/k)/3). Let o(s) = -3*s**3 - 3*s**2 - 3*s. Does 6 divide o(c)?
True
Suppose -3*d + 7 = 5*j, d = -0*d + 3*j - 21. Let s(p) = 2*p**2 + 7*p + 8. Does 24 divide s(d)?
False
Let k(q) = -q + 11. Let n be k(8). Suppose -2*i + 0*i + 4*x + 14 = 0, -3*i - n = 2*x. Is 2 a factor of (i - (-3)/(-9))*6?
True
Let o(l) be the first derivative of l**3/3 - 2*l**2 + 4*l - 1. Suppose -4*c + 6 + 5 = 5*f, -c + 4*f + 8 = 0. Is 2 a factor of o(c)?
True
Let h(z) = -z**3 + 6*z**2 + 9*z + 6. Suppose -4*i = 2*k - 3 - 1, 3*i = -k + 3. Suppose 0 = -4*x - k*m - 4*m + 44, 0 = -x + m + 3. Is 10 a factor of h(x)?
True
Let u = 73 - -34. Does 7 divide u?
False
Is (-2 - -3 - 1) + 45 a multiple of 15?
True
Let w(d) = -39*d**2 - d - 1. Let n be w(-1). Let q be (-118)/(-2) - 15/5. Let t = q + n. Does 8 divide t?
False
Let y be -3 - (-1)/2*26. Let z = -36 + y. Let d = 12 - z. Is d a multiple of 19?
True
Suppose j - 2 = -6, -h - 2*j = -41. Suppose 0*r + p = -r + 11, -5*p = 4*r - h. Does 4 divide r?
False
Let z = 36 - -25. Is 16 a factor of z?
False
Let z(n) = 34*n**2 - 4*n + 2. Does 4 divide z(1)?
True
Let q be (3 - 2)*(-3 + 0). Let c(d) = -7*d - 3. Is c(q) a multiple of 6?
True
Let k(b) = 2 - 12*b - 2 - 3*b. Does 20 divide k(-4)?
True
Suppose -5*z = t - 3*z - 118, 0 = -z - 1. Is t a multiple of 30?
True
Let q(j) = -5*j - 3. Let o(i) = -i - 2. Let v be o(3). Is q(v) a multiple of 8?
False
Let t(q) be the third derivative of -q**5/60 + q**4/3 - 3*q**3/2 - 2*q**2. Let n be t(7). Does 21 divide (64 + -1)*n/(-3)?
True
Let g = 147 - 63. Suppose 0 = -3*c + 2*r + 124, -2*r - g = -2*c - 0*r. Is c a multiple of 20?
True
Suppose -m = -2*h + 164, 4*m + 334 = 4*h - m. Is h a multiple of 27?
True
Suppose 3*v - 3 - 12 = 0. Suppose -v*a = -q - 26, -6*a = -a + q - 34. Is 6 a factor of -2*9/a*-2?
True
Suppose -17 = 4*s + 3*c + 2*c, 0 = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
enominator of -87/392 and m?
2744
Let p be (160/(-140))/(2/(-49)). Suppose p*f = 24*f + 100. What is the smallest common multiple of f and 40?
200
Let u = 3456 + -3369. Calculate the lowest common multiple of u and 406.
1218
Let o be 3/(-4)*-4 + 202 + 0. Let g = o - 203. What is the least common multiple of g and 1?
2
Let b be (-179)/(-61) + (-7 - (4 + -8)). Let a be (-3 - (-3292)/1098)*-25. Let c = b - a. Find the common denominator of c and -103/12.
36
Let x = -2623257087611324/1091429 + 2403506859. Let d = -32943783541/5841328008 - x. Let b = d + 10/669. What is the common denominator of 29/10 and b?
40
Suppose 2*a + 644 = -4*u, u = 2*u + a + 160. Let x = -319949/20 - -16002. Calculate the common denominator of (-165)/u*((-90)/(-4))/15 and x.
180
Let t be (30/4 - 9)/(1/2). Find the common denominator of (348/70 + t)*21/6 and -3/50.
50
Let h(i) = 3*i - 16*i - i**2 + 2*i**2 - 75 - 2*i. Let d(o) = 2*o - 2. What is the lowest common multiple of h(-4) and d(5)?
8
Let t be ((-15)/(-950)*5)/(-126). Let z = -27044088 - -302136550801/11172. Let c = t + z. Calculate the common denominator of -105/22 and c.
1078
What is the common denominator of -51/20 and ((-1)/(-5660))/(261 + -253 - 2909/364)?
16980
Suppose 2*n - 3*a + 10 = 0, -11*a = -5*n - 16*a + 25. Let f be n + 197030/(-27) + 2. Let j = -7296 - f. What is the common denominator of j and 27/4?
108
Let f = -659687/20536 - -546/17. Find the common denominator of f and -71/20.
6040
Let q(u) = -21*u - 2230. What is the least common multiple of 1975 and q(-125)?
1975
Suppose -52*c + 3432 = 26*c. Calculate the lowest common multiple of c and 10.
220
Let y(x) = 30*x - 852. What is the lowest common multiple of 78 and y(31)?
78
Suppose -62 = -4*q + 34. Let z = 1294612 - 1294537. Calculate the least common multiple of z and q.
600
Suppose -15*v + 4*o + 440 = 0, -11*o + 31 = 2*v - 6*o. Let i(a) = -3*a - 9. What is the smallest common multiple of v and i(-6)?
252
Let g be 18320/(-140) + 2/(-14). Let m = 143 + g. What is the least common multiple of m and 9?
36
Let s be (-151)/9 + (-10)/45. Let b = -3 - s. Calculate the smallest common multiple of 5/(-4) + 930/40 and b.
154
What is the smallest common multiple of 272 and ((-318)/424)/(2/(-1088))?
816
Suppose -2*y - 179 = -8*y - 71. What is the smallest common multiple of y and 714?
2142
Let c = 1819/11 + -1451287/8778. Calculate the common denominator of -33/133 and c.
798
Suppose 2816 = -42*d + 74*d. What is the least common multiple of 55 and d?
440
Suppose 10865 = 9*r + 409*r + 2505. Let y(z) = 7*z**3 - 2*z**2 + 4*z - 5. What is the least common multiple of y(5) and r?
840
Let x(r) be the third derivative of r**4/8 + 14*r**3/3 + 54*r**2. Calculate the smallest common multiple of (747/(-12) - (-2)/8)/(-2) and x(-6).
310
Find the common denominator of 9/34 and (-139765)/147084 + (-2)/(-7) - (-178)/267.
7004
Calculate the least common multiple of 260 and -1 + 29 - 2*(10 - 12).
2080
Calculate the common denominator of (-1056)/832*(-10)/4*(-34)/2499 and 67/1274.
1274
Let v(i) = -10*i - 48. Let k = -330 + 324. What is the smallest common multiple of v(k) and 60?
60
Calculate the common denominator of (-1328)/(-224)*-2 + 9 and 95/1682.
11774
Let d be 87290/(-16008) - (-8 + 0). Let i = d - 210/23. Find the common denominator of -31/18 and i.
36
Let o = -490 - -842. Let p = 362 - o. What is the smallest common multiple of 2 and p?
10
What is the lowest common multiple of 108/7 + -12*14/392 and 720?
720
Let l(s) = s**3 + 11*s**2 + 3*s - 4. Let i be l(-10). Suppose -9 = 3*b, 0 = 2*r - 5*b + i - 177. Calculate the lowest common multiple of 48 and r.
48
Let n = -16091 + 16093. Suppose -b - 2*b = 4*u - 275, 5*u - 2*b = 338. Calculate the lowest common multiple of u and n.
68
Find the common denominator of -69/385 and (-4785)/(-450) + -20 + 6.
2310
Calculate the least common multiple of (450/(-4 - -14))/1 and 2871.
14355
Suppose -2*o - 5*k - 383 = 0, -2*o - 5*k - 965 = 3*o. Let n be -2 - o/68 - 3. Let a = -560/51 - n. Find the common denominator of a and -31/30.
30
Let n(m) = -7*m + 85. Let d(l) = 15*l - 168. Let y(a) = 2*d(a) + 5*n(a). What is the least common multiple of 794 and y(15)?
5558
What is the lowest common multiple of 717 and ((-96)/192)/(2/(-84))?
5019
Let x be (-18805)/(-2)*(-4)/20. Let k = -1922 - x. Find the common denominator of 71/2 and k.
2
Let n = -51617/12 + 4305. Let a = 9/28637163823 + 12746201157039799/1370574660568780. Let s = -1/9572 - a. Calculate the common denominator of s and n.
60
Let d = -132 + 276. What is the smallest common multiple of 88 and d?
1584
Suppose -5*g - 4*y + 1014 = 0, -g + 169 + 35 = 2*y. Let q = g + -188. Calculate the smallest common multiple of q and 46.
322
Suppose 32*x = 31*x + 675. Find the common denominator of -61/30 and -1 + (-1449)/x + (-4)/(-6).
150
Let u(f) = -5*f - 3. Let z(b) = 29*b + 17. Let s(h) = -34*u(h) - 6*z(h). Let o be s(-10). Let x = o - 32. Calculate the least common multiple of x and 20.
40
Let t(v) be the second derivative of -v**5/20 + 17*v**4/12 + 7*v**3/2 - 11*v**2 + 14*v. Let b = -43 + 61. What is the smallest common multiple of 16 and t(b)?
32
Let i = 5670079/19151240 - 2/125995. Find the common denominator of 11/399 and i.
3192
Suppose 14*j - 40 = 10*j. Suppose -117 = -j*b + 213. Calculate the smallest common multiple of b and 15.
165
Let b(z) = z**3 - 16*z**2 + 3*z - 18. Let r be b(16). Suppose -11043*p = -110
|
{
"pile_set_name": "DM Mathematics"
}
|
377.99, 5, 2/3, 0.2, -4?
5
What is the smallest value in -3/5, -2/5, -10110?
-10110
Which is the second smallest value? (a) 59.6 (b) 1/522 (c) -0.4 (d) -2 (e) 0.1
c
Which is the fifth smallest value? (a) -45 (b) -4 (c) -0.08 (d) 4 (e) 25
e
What is the fourth biggest value in -3, 0, -5/6, -2, 14?
-2
Which is the smallest value? (a) -306 (b) -1/10 (c) -3.36
a
What is the smallest value in 0, -4, -2650?
-2650
Which is the second smallest value? (a) 0.3 (b) -1/4 (c) 17 (d) 43.9 (e) -0.2
e
What is the smallest value in 0, -12.92, -3, 3, -0.2?
-12.92
What is the smallest value in 0.5, 128.3, -0.032?
-0.032
What is the third smallest value in 0.2, -133859, 3/5?
3/5
Which is the biggest value? (a) -17 (b) 2/7 (c) -0.4 (d) 0.97 (e) 0.3
d
What is the biggest value in 1/16, 7/27, -4, 2/9, 4?
4
Which is the fifth smallest value? (a) 1/5 (b) -0.24 (c) 4 (d) -1/5 (e) 1/3
c
What is the sixth biggest value in -0.04, 3/7, -21, 3/4, -2, 1/5?
-21
Which is the biggest value? (a) -41 (b) -8 (c) 0.01 (d) -1.6 (e) 2/9
e
What is the smallest value in -484.3, 5, -0.8, -5?
-484.3
What is the fourth smallest value in -2, -6/599, 0.005, -5, 5/2?
0.005
Which is the second biggest value? (a) -0.17 (b) -1/9 (c) -30 (d) 6 (e) 12
d
What is the fourth smallest value in 46975, -0.5, -5, 2/7, 2?
2
Which is the biggest value? (a) 20 (b) 1/12 (c) 11 (d) 5 (e) 16
a
What is the fourth biggest value in 3/5, -0.119, 1/10, 6, 4, 3?
3/5
Which is the second smallest value? (a) -6 (b) -1 (c) -147 (d) -4
a
What is the third smallest value in -3/7, 1/3, 8231?
8231
What is the second smallest value in -0.4, 4, 3/4, 8/5, -22?
-0.4
Which is the second smallest value? (a) -1/4 (b) 1/13 (c) -48/97
a
What is the second smallest value in 2, -1374, 1/4, 2/9?
2/9
What is the second smallest value in -1/52, -3, 0.2, 2, -354?
-3
Which is the fourth smallest value? (a) 1413 (b) -4/7 (c) 2 (d) -5 (e) 1 (f) 4
c
What is the biggest value in 71, -6164, 3?
71
What is the fifth smallest value in 9, 1.1, 0.1, 21, 5/3?
21
What is the third biggest value in -2/3, 3/5, -0.4, -0.89, -4?
-2/3
What is the second smallest value in -0.4, -4, 31, -3/4?
-3/4
Which is the fourth biggest value? (a) -0.24 (b) -8 (c) -2/19 (d) -1 (e) -62
b
Which is the biggest value? (a) -84 (b) 2/44629 (c) -5
b
What is the second biggest value in -2/5, -115, 3, -2.9, 2/11?
2/11
What is the third smallest value in -2/17, -1/12, 1/5, 2.2, 5?
1/5
Which is the fifth smallest value? (a) 2/5 (b) 0.2 (c) -1/4 (d) 2/59639 (e) 1/6 (f) 0
b
What is the second smallest value in -3, -247, -12?
-12
What is the sixth smallest value in -2/3, -2.03, -2/7, -0.3, -25, 0.5?
0.5
What is the biggest value in 3/13, -307, -2/11, 4?
4
Which is the second biggest value? (a) -205 (b) 1/4 (c) 37
b
Which is the biggest value? (a) 1795 (b) -7/5 (c) 0.1 (d) 0.4
a
Which is the biggest value? (a) 0.06536 (b) 15 (c) -0.7
b
Which is the smallest value? (a) -2 (b) 1/6 (c) -0.5 (d) -8442 (e) -2/9 (f) 0.4
d
Which is the fourth smallest value? (a) 8/7 (b) 24/7 (c) -4/5 (d) -9
b
What is the fourth smallest value in -4, -488597, -1, -3/4, -0.1, 5?
-3/4
What is the fourth biggest value in -0.17, -587, -0.1, 5?
-587
Which is the third biggest value? (a) -6.5 (b) 13 (c) 1/5
a
Which is the biggest value? (a) 1/2 (b) -30 (c) -3 (d) 450 (e) -5
d
Which is the sixth biggest value? (a) 6/7 (b) -4 (c) 2/831 (d) 3 (e) -2 (f) 4
b
Which is the third smallest value? (a) 159 (b) 2 (c) -1 (d) 0.01
b
What is the third smallest value in 20, -1/6, -1032?
20
What is the smallest value in 0.02, -1/2, -6, -3, 0.5, -1.7?
-6
Which is the smallest value? (a) 3 (b) -2 (c) -2/3 (d) -0.2 (e) -3/8 (f) -760
f
Which is the biggest value? (a) -0.1 (b) -1523 (c) 0.2 (d) -5
c
Which is the third smallest value? (a) -1054 (b) -0.1 (c) 7
c
What is the fifth smallest value in 1/5, 14, -3, 8.35, -0.2?
14
What is the smallest value in -4, -388, -3/4, 90/7?
-388
What is the second smallest value in -1/21, -26, -0.17?
-0.17
What is the sixth biggest value in 3, 2/9, 1.7, 13, -3, -0.1?
-3
What is the fourth biggest value in -0.38, 2, 14, 2/7, -4?
-0.38
What is the second smallest value in 0.4, -5, -1701/5, 39?
-5
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
p
Collect the terms in -480913*m - 3 + 240461*m + 3 - 17*m**2 + 240452*m.
-17*m**2
Collect the terms in 38411 + 6*r + 1923*r**3 - 38411 - 6*r.
1923*r**3
Collect the terms in -77*y - 75*y + 166*y - 45*y - 3.
-31*y - 3
Collect the terms in 25*m + m**3 - 82 - 26*m - 3*m**3 + 4*m.
-2*m**3 + 3*m - 82
Collect the terms in 127*n - 7982 - 205*n + 7982 - 215*n.
-293*n
Collect the terms in 2606091 - 2606091 - 23*h.
-23*h
Collect the terms in -808 + 6*f + 3*f**2 - 2*f**2 + 6*f + 808 - 37*f.
f**2 - 25*f
Collect the terms in -1702200 - 1702497 + 3*j - 1702208 + 6809114 - 1702209.
3*j
Collect the terms in 392*y**2 + 371*y**2 + 869*y**2 - 1634*y**2.
-2*y**2
Collect the terms in -623 + 2458 - 629 - 3*q - 574 - 632 + 0*q.
-3*q
Collect the terms in -439798*b + 882228*b - 442431*b.
-b
Collect the terms in -359*y**3 - 13*y + 8*y - 2187*y**3 + 5*y.
-2546*y**3
Collect the terms in -6236*z**2 - 14592*z**2 + 1600*z**2 + 239 - 239.
-19228*z**2
Collect the terms in 16237*r**2 - 10022*r**2 - 150153*r**2.
-143938*r**2
Collect the terms in 1597*y + 6605*y + 0 + 0 - 636*y.
7566*y
Collect the terms in -246 + 13*l**2 - 6*l - 4*l**2 - 12*l**2 + 254.
-3*l**2 - 6*l + 8
Collect the terms in 277*p + 196 - 737 + 337 + 201.
277*p - 3
Collect the terms in -618*k**2 + 112*k - 243*k + 131*k + 556*k**2.
-62*k**2
Collect the terms in -1797*d**2 + 922*d**2 - 3446*d**2 + 7*d - 7*d.
-4321*d**2
Collect the terms in 101*t**2 + 21255 - 7099 - 7105 - 16*t**2 - 57*t**2 - 7051.
28*t**2
Collect the terms in -326*t**2 + 128277 - 128277.
-326*t**2
Collect the terms in 1043*x**2 - 2 - 5*x**2 + 5*x - 3*x.
1038*x**2 + 2*x - 2
Collect the terms in 2*i + 2756*i**3 - 2*i + 2730*i**3 + 2700*i**3 - 8276*i**3.
-90*i**3
Collect the terms in -990*n**3 - 672*n**3 - 259 + 788 - 265 - 264.
-1662*n**3
Collect the terms in -152540*p + 305105*p - 462 + 462 - 152518*p.
47*p
Collect the terms in -1567 + 3013 - 1446 - 9184*u.
-9184*u
Collect the terms in -119*x**3 - 718*x**2 + 86*x**2 + 0*x + 34*x**3 - x.
-85*x**3 - 632*x**2 - x
Collect the terms in -296020*b + 9 - 10 + 1.
-296020*b
Collect the terms in 26*m**2 - 63*m - 4*m**2 + 2*m**2 - 30*m**2 + 5*m**2.
-m**2 - 63*m
Collect the terms in 15*w + 126*w**3 + 29*w + 379*w**3 - 44*w + 303*w**3.
808*w**3
Collect the terms in 247068 - 247068 + 19*y**3.
19*y**3
Collect the terms in -1479001*z - 5*z**2 + 739459*z + 739536*z.
-5*z**2 - 6*z
Collect the terms in -875*x - 57*x**2 - 16*x**2 + 875*x - 3*x**2 - 4*x**2 + 10*x**2.
-70*x**2
Collect the terms in 622943015*k - 622943015*k - 17 + 6*k**2.
6*k**2 - 17
Collect the terms in -381565*r**2 - 380047*r**2 + 761602*r**2.
-10*r**2
Collect the terms in -1677596*s**3 - 1677599*s**3 + 3355185*s**3.
-10*s**3
Collect the terms in -5*k - 11092669279747 + 4*k + 11092669279747.
-k
Collect the terms in -1202*k**2 - 975*k**2 + 557*k**2.
-1620*k**2
Collect the terms in -p + 1150 - 3314 + 5179.
-p + 3015
Collect the terms in 756*w**3 + 7501 - 3747 - 3754.
756*w**3
Collect the terms in -17612*v**3 - 158538*v**3 - 239548*v**3.
-415698*v**3
Collect the terms in -3586*u**2 + 724*u**2 - 1310*u**2 + 546*u**2.
-3626*u**2
Collect the terms in -p + p**3 - 6748 - 6501 - 3*p + 13249.
p**3 - 4*p
Collect the terms in 326*u**2 - 37 + 331*u**2 - 675*u**2 + 37.
-18*u**2
Collect the terms in -101*p**3 - 276*p**3 - 10*p**3 - p**2 + p**2.
-387*p**3
Collect the terms in 229179 + 2*x**2 - 229179 - 1460*x**3.
-1460*x**3 + 2*x**2
Collect the terms in -3510*v - 3718*v + 1 - v**2 - 7146*v.
-v**2 - 14374*v + 1
Collect the terms in -2329 - 2368 + 87*c**2 - 2340 + 7037.
87*c**2
Collect the terms in 36*j**2 - 71*j**2 + 13*j**2 + 21*j + 29*j**2.
7*j**2 + 21*j
Collect the terms in -2*g**3 + 452*g**3 - 84*g**3.
366*g**3
Collect the terms in -42*v**2 + 23*v**2 - 99358*v**3 + 99359*v**3 + 19*v**2.
v**3
Collect the terms in -76 + 39 + 37 - 156430*m.
-156430*m
Collect the terms in 5348272 - 5348272 - 1217*y.
-1217*y
Collect the terms in 7 - 278287*h + 28*h**2 + 278287*h.
28*h**2 + 7
Collect the terms in -2639*s**3 - 2637*s**3 + 5275*s**3 + 629.
-s**3 + 629
Collect the terms in 2*n**2 + 4*n**2 - 9*n - 911 + 4*n**2 + 6*n.
10*n**2 - 3*n - 911
Collect the terms in 26*w**2 - 28*w**2 - 492146*w + 492146*w - 28.
-2*w**2 - 28
Collect the terms in 54*p - p**2 - 566*p - 37 - p**2 + 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
power of 1/2, to the nearest integer?
519
What is the seventh root of 334607 to the nearest integer?
6
What is the third root of 6293091 to the nearest integer?
185
What is 430569 to the power of 1/2, to the nearest integer?
656
What is the fourth root of 3619420 to the nearest integer?
44
What is 11368 to the power of 1/2, to the nearest integer?
107
What is the square root of 6753280 to the nearest integer?
2599
What is the fifth root of 604997 to the nearest integer?
14
What is the square root of 1292825 to the nearest integer?
1137
What is 975005 to the power of 1/2, to the nearest integer?
987
What is the square root of 1058180 to the nearest integer?
1029
What is the square root of 985967 to the nearest integer?
993
What is 343265 to the power of 1/2, to the nearest integer?
586
What is 2552439 to the power of 1/3, to the nearest integer?
137
What is the cube root of 392547 to the nearest integer?
73
What is 29059682 to the power of 1/3, to the nearest integer?
307
What is the cube root of 5289844 to the nearest integer?
174
What is the ninth root of 437465 to the nearest integer?
4
What is 138593 to the power of 1/8, to the nearest integer?
4
What is the cube root of 1135034 to the nearest integer?
104
What is the square root of 32535513 to the nearest integer?
5704
What is the third root of 1717920 to the nearest integer?
120
What is 7325291 to the power of 1/5, to the nearest integer?
24
What is the cube root of 4097724 to the nearest integer?
160
What is 445622 to the power of 1/2, to the nearest integer?
668
What is the ninth root of 575581 to the nearest integer?
4
What is 25258962 to the power of 1/2, to the nearest integer?
5026
What is 950408 to the power of 1/6, to the nearest integer?
10
What is 309579 to the power of 1/7, to the nearest integer?
6
What is 311126 to the power of 1/3, to the nearest integer?
68
What is the third root of 741534 to the nearest integer?
91
What is the third root of 16081951 to the nearest integer?
252
What is 235535 to the power of 1/2, to the nearest integer?
485
What is the square root of 1154304 to the nearest integer?
1074
What is the cube root of 813844 to the nearest integer?
93
What is the fourth root of 3723438 to the nearest integer?
44
What is 3342305 to the power of 1/3, to the nearest integer?
150
What is 5088247 to the power of 1/2, to the nearest integer?
2256
What is the ninth root of 619726 to the nearest integer?
4
What is the square root of 1002277 to the nearest integer?
1001
What is 1538279 to the power of 1/8, to the nearest integer?
6
What is 29436861 to the power of 1/4, to the nearest integer?
74
What is 5051742 to the power of 1/2, to the nearest integer?
2248
What is the third root of 1861860 to the nearest integer?
123
What is 2383078 to the power of 1/3, to the nearest integer?
134
What is the cube root of 363091 to the nearest integer?
71
What is the third root of 33214 to the nearest integer?
32
What is the tenth root of 40260572 to the nearest integer?
6
What is 150436 to the power of 1/3, to the nearest integer?
53
What is the cube root of 6204994 to the nearest integer?
184
What is the square root of 35673199 to the nearest integer?
5973
What is the tenth root of 559874 to the nearest integer?
4
What is the fourth root of 93671 to the nearest integer?
17
What is the ninth root of 3329843 to the nearest integer?
5
What is the cube root of 104961 to the nearest integer?
47
What is the square root of 1425515 to the nearest integer?
1194
What is 917904 to the power of 1/10, to the nearest integer?
4
What is the cube root of 195677 to the nearest integer?
58
What is the cube root of 3427215 to the nearest integer?
151
What is the cube root of 4694815 to the nearest integer?
167
What is the third root of 1103767 to the nearest integer?
103
What is the square root of 1170714 to the nearest integer?
1082
What is the third root of 3204108 to the nearest integer?
147
What is the seventh root of 7709948 to the nearest integer?
10
What is 421719 to the power of 1/2, to the nearest integer?
649
What is 146081 to the power of 1/3, to the nearest integer?
53
What is the cube root of 6119109 to the nearest integer?
183
What is 284454 to the power of 1/10, to the nearest integer?
4
What is the cube root of 2362608 to the nearest integer?
133
What is 20109326 to the power of 1/2, to the nearest integer?
4484
What is 18095701 to the power of 1/3, to the nearest integer?
263
What is the sixth root of 3218138 to the nearest integer?
12
What is the square root of 27397786 to the nearest integer?
5234
What is the tenth root of 541355 to the nearest integer?
4
What is the third root of 450504 to the nearest integer?
77
What is the cube root of 6788855 to the nearest integer?
189
What is 2527780 to the power of 1/10, to the nearest integer?
4
What is 4421151 to the power of 1/3, to the nearest integer?
164
What is the third root of 919863 to the nearest integer?
97
What is the tenth root of 1747557 to the nearest integer?
4
What is the seventh root of 302306 to the nearest integer?
6
What is the square root of 2206412 to the nearest integer?
1485
What is the square root of 13369209 to the nearest integer?
3656
What is 5488286 to the power of 1/7, to the nearest integer?
9
What is the sixth root of 6157933 to the nearest integer?
14
What is the square root of 1670856 to the nearest integer?
1293
What is 571442 to the power of 1/2, to the nearest integer?
756
What is 11697406 to the power of 1/2, to the nearest integer?
3420
What is 8497889 to the power of 1/2, to the nearest integer?
2915
What is the square root of 3240689 to the nearest integer?
1800
What is 3708 to the power of 1/3, to the nearest integer?
15
What is the third root of 180140 to the nearest integer?
56
What is 10510656 to the power of 1/8, to the nearest integer?
8
What is the fifth root of 16548344 to the nearest integer?
28
What is the square root of 1539944 to the nearest integer?
1241
What is the square root of 808514 to the nearest integer?
899
What is the third root of 24287853 to the nearest integer?
290
What is the cube root of 337571 to the nearest integer?
70
What is the eighth root of 95550 to the nearest integer?
4
What is the fifth root of 2168401 to the nearest integer?
19
What is the square root of 1370196 to the nearest integer?
1171
What is the third root of 3762951 to the nearest integer?
156
What is the tenth root of 714077 to the nearest integer?
4
What is 6052902 to the power of 1/2, to the nearest integer?
2460
What is 1790794 to the power of 1/9, to the nearest integer?
5
What is the ninth root of 5455092 to the nearest integer?
6
What is the eighth root of 1076938 to the nearest integer?
6
What is the fourth root of 3474532 to the nearest integer?
43
What is 1179168 to the power of 1/8, to the nearest integer?
6
What is 104384 to the power of 1/2, to the nearest integer?
323
What is the third root of 417682 to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
et b be (-1)/3 - 14/h. Solve 6 = b*p, r + 3*r + 4*p - 24 = 0 for r.
3
Let m(w) = w - 7. Let u be m(10). Solve u*i + 5*k = 18, -i - k + 0 = -4 for i.
1
Let m = -6 + 9. Suppose 5*s = 5*y - 5, -3*y + m*s = 8*s - 19. Solve -5*f = y*i - 9, i = 4*i + 2*f for i.
-2
Let b(p) = -p**2 + 11*p - 26. Let x be b(7). Solve x*u + 19 = 5*a, 3*a + 2*u - 5 = -0*a for a.
3
Let q(z) = z**2 - 8*z + 11. Let n be q(7). Solve d = 0, 4*i = n*d - 2 + 6 for i.
1
Suppose 6*z = -4*z + 30. Solve 2*p + 0*p = -5*y + 22, 7 = z*p + y for p.
1
Let f = 14 + -11. Solve -f = c, 5*z - c + 1 = 4 for z.
0
Let t be (1 + -2)/(3/(-6)). Let k be (3/t)/(24/16). Solve d + k = 3*a, 0*a = -4*a + 3*d - 2 for a.
1
Let r be 11 + (-1)/(2/6). Let q = -4 + r. Solve 0 = n + u - 5, 4*n = n + q*u - 20 for n.
0
Let g(t) be the third derivative of t**5/60 + t**3/2 + t**2. Let x be g(0). Solve 0 = 2*d + x*f - 8, 12 = d + 3*d + 5*f for d.
-2
Let c(w) = -w**3 - 4*w**2 - 5*w. Let m be c(-1). Solve 2*z = -0 - 4, 0 = -3*k + z + m for k.
0
Let j = -2 - -2. Let z(u) = -4*u**2 + u + 2. Let w be z(-1). Let v be -3*(10/w + 2). Solve -i + 20 = -4*s + i, s - v*i + 19 = j for s.
-3
Let a(k) = -k**2 - 3*k + 4. Let l = 4 + 1. Let y be (-5)/l - (-1 - -3). Let g be a(y). Solve 0 = 4*b + 4*j + 3 - 15, -3*j = g*b - 14 for b.
5
Let o = -9 + 12. Solve -4*v = -8*s + o*s - 16, -2*s = -5*v + 3 for s.
-4
Suppose 29 - 14 = 5*d. Solve 4*n = d*f - 7, f - 3*n + 3 = 7 for f.
1
Suppose 6*y = y. Solve -4*n + 3*v + 12 = -v, -2*n + 5*v = y for n.
5
Let r(c) = c**2 - 4. Let b be r(3). Solve 5*s + b*u = 0, 0 - 5 = -5*s - 4*u for s.
5
Let q(i) = i**3 + 4*i**2 - 3*i + 10. Let z be q(-5). Solve b + 10 = -5*g, 5*g = -2*b - 15 - z for g.
-1
Suppose 0 = 5*w + 11 - 31. Solve -i - 2 = -l, w*l + 16 = -3*i + i for i.
-4
Let x be (12/(-5))/((-9)/30). Let s be 2/4*2*-4. Let y = x + s. Solve 0 = y*r + 5*k + 20, -4*r - 5*k = r + 20 for r.
0
Let n(f) = -f + 14. Let o be n(-12). Solve s = -5*g + o, -14 = -6*s + 2*s - 2*g for s.
1
Let l be 76/6*1*(-9)/(-6). Solve -2*x + 2 = 2*v, -5*x + 3*v = 16 + l for x.
-4
Suppose 2*m + 11 = h, 14 = 4*m + 34. Solve l = -z - h, 0 = 3*l - 5*l + 5*z + 12 for l.
1
Let j(w) = w**3 + 8*w**2 - 10*w - 6. Suppose 2*y = 6*y - 28. Let q be (-3 + 2)*2 - y. Let s be j(q). Solve -4*m = -z + 3*z - 28, 0 = -2*m + s*z - 2 for m.
5
Let g(l) = l**3 - 3*l**2 + 2*l - 2. Let y be g(3). Solve 8 = y*i - 4*q, 0 - 8 = -2*i - 2*q for i.
3
Let i(m) = m**3 - 13*m**2 + 12*m + 2. Let x be i(12). Solve 0 = 3*r + 2*r - x*d, 4*r - 2*d = 2 for r.
-2
Suppose 5*r + 0*r = 0. Let d(y) = y**3 + 24. Let a be d(r). Solve -3 = 3*j, -5*g + 0*j + 4*j = -a for g.
4
Let g be (4 + -3 - -1) + 3. Solve 10 = -5*f - g*a, -2*a = f - 7*a + 2 for f.
-2
Let c = 14 + -10. Solve -j + c*i - i = -2, -5*j + 3*i = 2 for j.
-1
Suppose m - 6 = -m. Solve -m = -3*i + 3, -i + 6 = -2*t for t.
-2
Let t = -24 - -24. Solve 0 = 5*k + 3*s + 19, -13 = -t*k + 5*k + s for k.
-2
Let w(z) = -z + 7. Let k be w(4). Let f = 18 + -25. Let o = 16 + f. Solve 4*c = -5*g + o, -4*g - k*c + 16 = -2*c for g.
5
Let r(d) = 2*d**2 + 5*d + 5. Let l be r(-2). Solve 3*q - 2*t = -13, -2 - 1 = -q - l*t for q.
-3
Suppose 25 = 5*z - f, -f + 0*f = -3*z + 15. Solve -z*x = 4*k + 22, 2*x - 6*x - 2 = -2*k for k.
-3
Suppose 72 = 5*u + 2. Solve -4*a + 11 = -h, 4*h + u = a - 0*h for a.
2
Suppose 2*v = 3*v - 4. Solve 5*b = -3*n + 13, 0 = -0*n - 4*n + 4*b - v for n.
1
Let h be 32/((-1)/(-3)*3). Suppose 5*q - 6 = 2*w - 32, 4*w - 5*q = h. Solve 9 = w*a + d, -d + 0 = 3 for a.
4
Let a be (-2)/14 - (-60)/28. Suppose -4 = -3*m + a. Solve 3*v - v = -t - 4, v - 8 = m*t for t.
-4
Let x be 51/6 - 1/2. Let q = -1 + x. Solve -6 = -2*k + 3*f, -f = 3*k - 5*f - q for k.
-3
Let w = 8 + -8. Suppose -3*g - 2*j = -15, 3*j = g - w*j + 6. Solve -k - 12 = g*t, -4*t = -5*k - 18 + 53 for k.
3
Let w be (33/
|
{
"pile_set_name": "DM Mathematics"
}
|
-b. Let r be 1/(m + 366/363). What is the highest common divisor of 11 and r?
11
Let n(x) = -x**2 + 7*x - 3. Let l be n(10). Let k = l + 120. Calculate the greatest common factor of 58 and k.
29
Let s = -1 - -14. Let y = -5 - -2. Let a(h) = 5*h**2 - 3*h - 2. Let p be a(y). What is the highest common factor of s and p?
13
Suppose -5*z = -3*z - 8. Suppose 5*y - v = -0*v + 133, z*y = v + 106. Calculate the greatest common divisor of y and 9.
9
Suppose 2*y - 2*g + 48 = 3*g, -4*g + 65 = -3*y. Let x be 4/(-6)*3 - y. Let t = 7 + x. What is the greatest common divisor of t and 8?
8
Let d = -55 + 78. Suppose -4*h - 5*z + d = -9, z = -4*h + 16. Suppose 4*b + 3*y + 0 = -2, -4*b = 2*y. Calculate the greatest common divisor of h and b.
1
Let v = 93 + -37. Let x be (-6)/8*-4 + 11. What is the highest common factor of v and x?
14
Let r = -36 - -49. Let c(f) = -10*f - 1. Let x be c(-4). What is the highest common divisor of r and x?
13
Suppose 0 = -4*h - 0*h + 5*t + 38, t - 14 = -h. What is the greatest common divisor of 12 and h?
12
Let w = -65 + 156. Let j = 208 - w. What is the highest common factor of 13 and j?
13
Suppose -5*b = 5*b - 250. Calculate the highest common factor of 10 and b.
5
Let r = -72 + 156. Suppose r = 2*x - 16. Calculate the highest common factor of 10 and x.
10
Let w = 9 + -3. Suppose -3*l + 2*x = -w*l - 4, -5*x = 25. Let k be (-55)/(-4) - (-1)/4. What is the greatest common divisor of l and k?
2
Suppose 0 = 11*p - 47 - 19. What is the highest common divisor of 6 and p?
6
Suppose 0 = 5*i - i - 252. Let g be (-2*(-21)/6)/1. Calculate the greatest common factor of i and g.
7
Suppose 3*p + 100 = 3*j - 20, -5*p + 150 = 5*j. What is the highest common divisor of j and 7?
7
Let p be 4/1 + (-1)/1. Suppose 6*w = p*w. Suppose w*x - 3*x + 15 = 0. What is the greatest common factor of 5 and x?
5
Let d = 140 + -96. Let o be (4 - 2)*((-44)/8)/(-1). What is the highest common divisor of d and o?
11
Let h be 3 - (2 + -4 - -4). Calculate the highest common factor of 9 and h.
1
Let w = 8 - 14. Let h(i) = -i**2 - 6*i + 3. Let b be h(w). What is the greatest common divisor of b and 3?
3
Let q be (-4 - -13)/((-3)/(-4)). Let u = -4 + q. Calculate the highest common factor of 12 and u.
4
Suppose -111 + 31 = -4*d. Let k = -4 - -8. Let a be ((-6)/k)/(9/(-300)). Calculate the greatest common factor of a and d.
10
Let g(d) = -d**3 - 20*d**2 + 19*d - 28. Let y be g(-21). Let q be ((-3)/((-6)/28))/1. Calculate the greatest common factor of q and y.
14
Let j = 55 + 35. Calculate the greatest common factor of j and 20.
10
Let o(q) = -7*q + 2*q - 11 + 0*q + 0*q. Let s be o(-9). What is the greatest common divisor of 85 and s?
17
Suppose r = -3*r + 24. Calculate the greatest common factor of 48 and r.
6
Suppose -4*c = -2*c + 16. Let m be 2/c + 705/20. Let h = m - 8. Calculate the greatest common divisor of h and 9.
9
Let n = 60 + -171. Let f(u) = 5*u + 9. Let z be f(-9). Let j = z - n. What is the greatest common divisor of j and 30?
15
Let d(t) = t**2 - t + 9. Let y be d(0). Let w(l) = l**2 + 5*l. Let i be w(-3). Let g = i + y. Calculate the greatest common divisor of 1 and g.
1
Let t = 12 - -1. What is the highest common factor of 143 and t?
13
Let y(t) = -t**3 + 4*t**2 + 2. Let m be y(3). Calculate the highest common factor of m and 22.
11
Let h(j) = -20*j - 5. Let r be h(-10). Calculate the highest common factor of r and 15.
15
Let o(v) be the third derivative of -17*v**4/24 - 2*v**3/3 - v**2. Let s be o(-7). Calculate the highest common divisor of s and 23.
23
Let c(o) = o**3 - 8*o**2 + 8*o - 6. Let m be c(7). What is the greatest common factor of m and 5?
1
Let f be 2*16/6*3. Calculate the highest common divisor of 12 and f.
4
Suppose -2*y + 544 = 2*y. Let l(v) = v**3 - 9*v**2 + 9*v + 9. Let f be l(8). Calculate the highest common divisor of y and f.
17
Let g(y) = 55*y**2 + 38*y - 4. Let w be g(3). What is the highest common divisor of w and 55?
55
Let i(q) = -q**2 + 17*q - 18. Let k be i(9). Calculate the highest common factor of 81 and k.
27
Suppose -5*h + 7 + 28 = 0. Let o(w) = 3*w - 8. Let m be o(5). What is the greatest common divisor of h and m?
7
Let t be ((-44)/6)/((-2)/6). Suppose -5*m = 4*b - 392, 0*m - 3*b = -2*m + 166. Let q = -47 + m. What is the highest common divisor of t and q?
11
Let s(x) = -2*x**3 - 40*x**2 + 2*x + 43. Let b be s(-20). Calculate the highest common divisor of 57 and b.
3
Let l be (-292)/(-18) + 2/(-9). Let z = -35 - -99. What is the highest common divisor of z and l?
16
Suppose 0*u + 6 = -m - 2*u, -m + 4*u = 6. Let s(q) = -2*q - 5. Let j be s(m). Suppose -p = -0*p - j. What is the highest common factor of 1 and p?
1
Let m be (2/(-2))/(4 + 285/(-70)). Calculate the greatest common divisor of 42 and m.
14
Suppose 2*u = 1 + 3. What is the highest common divisor of 3 and u?
1
Let d(f) = f**3 + 8*f**2 + 5*f + 5. Let a be d(-3). Calculate the highest common factor of a and 5.
5
Suppose -v + 4*v - 69 = 0. Suppose 3*d + m = 273, 2*m + 123 = 4*d - 251. What is the highest common factor of v and d?
23
Suppose 5*t + 18 = 2*c - 35, -5*t = 5*c - 80. Calculate the highest common factor of 19 and c.
19
Let n be 195/6*8/10. Let w be 6*(104/(-3))/(-8). Calculate the greatest common divisor of n and w.
26
Suppose -2*f + 231 = -3*z, 57 = 3*f - 5*z - 290. Suppose -7*t = -t - f. Calculate the greatest common divisor of
|
{
"pile_set_name": "DM Mathematics"
}
|
40*r**3
Let c(y) = 16*y**5 - 2*y**2. Let s(n) = -17*n**5 + n**2. Let o(h) = 6*c(h) + 5*s(h). What is the third derivative of o(k) wrt k?
660*k**2
Let i be (-1 + 1)/(12/12). What is the second derivative of -2*r**5 - 2*r + i*r - 2*r**5 + 3*r wrt r?
-80*r**3
Let v = -3 + 5. Let k(t) = -t**2 - 8*t + 3. Let p be k(-8). Find the first derivative of -v*n**p + 1 + 2 + n**3 wrt n.
-3*n**2
Suppose l - 9 = -3*r + 2, -23 = r - 5*l. Let w(c) = c**2 - 6*c + 2. Let p be w(6). What is the third derivative of 4*z**r + 2*z**2 - 5*z**p + z**6 wrt z?
120*z**3
Let u(o) = -o**4 + o**3 + o**2 - 1. Let d(s) = -11*s**4 - 3*s**3 - 3*s**2 + 8. Let l(v) = d(v) + 3*u(v). What is the derivative of l(b) wrt b?
-56*b**3
Let s(p) be the first derivative of p**4/8 - p**3/2 + 2*p**2 - 3. Let l(u) be the second derivative of s(u). Find the first derivative of l(q) wrt q.
3
Let d(u) be the first derivative of 1/120*u**5 + 2 + 1/8*u**4 + 0*u**2 + 0*u - 2/3*u**3. Let r(m) be the third derivative of d(m). Differentiate r(g) wrt g.
1
Let h(x) be the second derivative of -2*x + 1/4*x**4 + 0*x**3 - 3/2*x**2 + 0. Differentiate h(o) with respect to o.
6*o
Let c(f) be the third derivative of f**2 + 0*f + 0*f**5 + 0 + 1/40*f**6 + 1/12*f**4 + 0*f**3. Find the second derivative of c(h) wrt h.
18*h
Let m(a) be the first derivative of -4*a**4 + 2*a**3/3 - 19. What is the third derivative of m(z) wrt z?
-96
Suppose 3*c = 12, 11 + 4 = g + 5*c. Let m = g + 10. What is the second derivative of 3 - 3 - 4*p**5 - 2*p + m*p**5 wrt p?
20*p**3
Let c(b) = -9*b**2. Let v be c(-1). Let f = -4 - v. What is the third derivative of -8*l**5 - 3*l**2 + 4*l**5 + 5*l**f wrt l?
60*l**2
Let k(w) = 11*w - 1. Let d be k(1). Let j = -7 + d. Find the second derivative of 2*n**3 - 2*n**3 - 3*n + 5*n + j*n**3 wrt n.
18*n
Let w(r) be the second derivative of -r**9/3780 - r**7/630 + r**4/4 + 3*r. Let j(c) be the third derivative of w(c). What is the third derivative of j(n) wrt n?
-96*n
Let j(x) be the third derivative of 0*x**6 - 7/6*x**3 - 6*x**2 + 0*x**5 + 1/42*x**7 + 0 + 0*x + 0*x**4. What is the first derivative of j(i) wrt i?
20*i**3
Let x(v) = 3*v**3 - 5*v**2 - 5*v + 3. Let b(i) = -2*i**3 + 4*i**2 + 4*i - 2. Let d(g) = 5*b(g) + 4*x(g). What is the derivative of d(z) wrt z?
6*z**2
Let g(z) = -z**3 + z**2 + 3. Let u be g(0). Find the third derivative of -4*f**2 + 3*f**3 + u*f**2 - 4*f**3 wrt f.
-6
Let w(a) be the third derivative of -9*a**8/112 - 7*a**5/10 + 40*a**2. Find the third derivative of w(b) wrt b.
-1620*b**2
Suppose 8 = 5*q - 7. What is the third derivative of 0*r**2 + 2*r**2 + 3 + q*r**3 - 3 wrt r?
18
Suppose 0*x - 2*x = -8. Differentiate 4*m**4 - 4*m**4 - 1 - 3*m**x - 3 with respect to m.
-12*m**3
Let d(u) be the second derivative of u**10/30240 + u**6/720 + u**4/3 - u. Let v(y) be the third derivative of d(y). Find the second derivative of v(f) wrt f.
20*f**3
Let p(t) = -t**3 + 5*t**2 + 2*t - 7. Let h be p(5). Suppose -k + 8 - h = 0. What is the third derivative of 3*v**2 + k + v**6 - 5 wrt v?
120*v**3
Let h(u) be the first derivative of u - 7 + 7/2*u**2. Differentiate h(f) with respect to f.
7
Differentiate -14*h**4 + 20*h**4 - 12*h**4 + 6 wrt h.
-24*h**3
Let f = 2 + -4. Let r(u) = -u + 1. Let z(c) = -c**3 + 2*c - 1. Let j be ((2 - 3) + 2)*-1. Let n(v) = f*r(v) + j*z(v). What is the derivative of n(d) wrt d?
3*d**2
Suppose 5*i - 29 = -a, -2*a = -i + a - 7. Suppose -i*d - 15 = 5*p, -3*p + p + 24 = -4*d. Find the second derivative of -p*c - 3*c**2 + 70 - 70 wrt c.
-6
Let j(y) = y**3 + 1. Let v(q) = -5*q**4 - 6*q**3 + 7. Let n(a) = -6*j(a) - v(a). What is the derivative of n(w) wrt w?
20*w**3
Find the third derivative of 6 - 6 + j**3 - 8*j**2 wrt j.
6
What is the third derivative of -5 - 13 - q**2 - 4*q**3 + 28 wrt q?
-24
Let l = 1 + -8. Let t(v) = -v - 4. Let n be t(l). What is the first derivative of 2 + 0 + 2*m**3 - n*m**3 wrt m?
-3*m**2
Let k(v) be the first derivative of -4*v**3/3 - 24*v - 29. Find the first derivative of k(q) wrt q.
-8*q
Find the third derivative of 5*m**2 + 34*m**4 - 57*m**4 + 27*m**4 wrt m.
96*m
Let d(s) = -5*s + 5. Let p(c) = 3*c - 3. Let z(o) = 2*d(o) + 5*p(o). Differentiate z(k) wrt k.
5
Suppose 0 = 5*c - 1 - 9. What is the third derivative of 4*t**3 + 2*t**3 + 3*t**c - 3*t**3 wrt t?
18
Find the second derivative of -14*p**2 + 532 - 23*p - 532 wrt p.
-28
What is the second derivative of 11*v - 5*v + 2*v**5 - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
are there between 12:08 AM and 1:50 AM?
102
How many minutes are there between 6:14 AM and 10:51 AM?
277
How many minutes are there between 5:35 PM and 9:47 PM?
252
How many minutes are there between 3:51 AM and 5:28 AM?
97
How many minutes are there between 9:47 PM and 4:25 AM?
398
How many minutes are there between 7:02 AM and 9:38 AM?
156
How many minutes are there between 11:28 AM and 4:21 PM?
293
What is 675 minutes before 4:02 PM?
4:47 AM
What is 491 minutes before 1:34 PM?
5:23 AM
What is 101 minutes before 3:40 PM?
1:59 PM
What is 240 minutes after 6:21 PM?
10:21 PM
How many minutes are there between 11:04 AM and 12:00 PM?
56
How many minutes are there between 5:07 PM and 4:08 AM?
661
How many minutes are there between 12:50 PM and 10:55 PM?
605
What is 19 minutes before 11:44 AM?
11:25 AM
What is 337 minutes after 1:00 AM?
6:37 AM
How many minutes are there between 8:56 PM and 10:25 PM?
89
What is 715 minutes before 4:25 AM?
4:30 PM
How many minutes are there between 8:43 AM and 1:03 PM?
260
How many minutes are there between 7:36 PM and 6:58 AM?
682
How many minutes are there between 12:27 AM and 1:44 AM?
77
What is 6 minutes before 11:33 AM?
11:27 AM
How many minutes are there between 5:58 AM and 5:47 PM?
709
How many minutes are there between 1:39 PM and 12:57 AM?
678
How many minutes are there between 8:32 PM and 7:11 AM?
639
How many minutes are there between 11:54 AM and 2:10 PM?
136
How many minutes are there between 6:53 AM and 3:59 PM?
546
What is 156 minutes after 1:07 PM?
3:43 PM
What is 185 minutes after 4:14 PM?
7:19 PM
How many minutes are there between 12:13 PM and 5:17 PM?
304
How many minutes are there between 8:25 PM and 11:12 PM?
167
What is 547 minutes before 11:54 PM?
2:47 PM
How many minutes are there between 12:26 PM and 2:43 PM?
137
What is 217 minutes before 8:29 PM?
4:52 PM
How many minutes are there between 8:44 PM and 5:47 AM?
543
How many minutes are there between 8:35 AM and 6:22 PM?
587
What is 416 minutes after 8:57 PM?
3:53 AM
How many minutes are there between 8:09 AM and 11:13 AM?
184
How many minutes are there between 12:05 AM and 11:07 AM?
662
How many minutes are there between 7:43 AM and 3:53 PM?
490
How many minutes are there between 3:47 PM and 4:23 PM?
36
How many minutes are there between 1:53 PM and 6:23 PM?
270
How many minutes are there between 9:24 AM and 10:33 AM?
69
What is 682 minutes after 10:08 AM?
9:30 PM
How many minutes are there between 10:38 AM and 2:15 PM?
217
What is 266 minutes before 5:04 PM?
12:38 PM
How many minutes are there between 2:51 PM and 5:36 PM?
165
How many minutes are there between 5:49 AM and 6:27 AM?
38
How many minutes are there between 9:27 PM and 8:32 AM?
665
What is 253 minutes before 7:22 PM?
3:09 PM
What is 202 minutes after 5:13 AM?
8:35 AM
How many minutes are there between 12:04 PM and 2:37 PM?
153
How many minutes are there between 10:44 PM and 4:04 AM?
320
What is 481 minutes before 4:53 PM?
8:52 AM
How many minutes are there between 8:46 PM and 4:57 AM?
491
How many minutes are there between 1:46 PM and 3:08 PM?
82
What is 553 minutes before 3:24 AM?
6:11 PM
How many minutes are there between 6:04 AM and 11:41 AM?
337
How many minutes are there between 12:47 AM and 5:17 AM?
270
How many minutes are there between 3:29 PM and 6:58 PM?
209
How many minutes are there between 9:12 PM and 2:43 AM?
331
What is 342 minutes after 4:36 PM?
10:18 PM
What is 71 minutes after 1:32 PM?
2:43 PM
What is 202 minutes before 6:21 AM?
2:59 AM
How many minutes are there between 12:45 AM and 1:24 AM?
39
What is 128 minutes after 1:22 AM?
3:30 AM
How many minutes are there between 9:27 PM and 7:15 AM?
588
How many minutes are there between 9:55 PM and 8:55 AM?
660
How many minutes are there between 5:36 PM and 4:57 AM?
681
How many minutes are there between 1:07 AM and 12:02 PM?
655
How many minutes are there between 12:09 AM and 6:40 AM?
391
How many minutes are there between 6:35 AM and 2:56 PM?
501
How many minutes are there between 2:02 AM and 6:15 AM?
253
What is 639 minutes before 1:42 PM?
3:03 AM
What is 89 minutes before 5:05 PM?
3:36 PM
What is 398 minutes before 10:21 PM?
3:43 PM
What is 373 minutes after 4:17 PM?
10:30 PM
How many minutes are there between 5:35 PM and 4:22 AM?
647
What is 530 minutes after 8:02 AM?
4:52 PM
What is 67 minutes before 2:04 PM?
12:57 PM
What is 231 minutes before 4:53 PM?
1:02 PM
How many minutes are there between 1:55 PM and 9:20 PM?
445
How many minutes are there between 2:17 PM and 12:04 AM?
587
How many minutes are there between 10:28 AM and 6:41 PM?
493
What is 508 minutes before 6:07 PM?
9:39 AM
What is 685 minutes before 3:05 AM?
3:40 PM
What is 492 minutes before 6:08 AM?
9:56 PM
How many minutes are there between 4:49 PM and 11:14 PM?
385
How many minutes are there between 5:00 AM and 11:16 AM?
376
What is 385 minutes before 9:26 PM?
3:01 PM
What is 627 minutes before 12:55 PM?
2:28 AM
What is 304 minutes after 2:33 PM?
7:37 PM
How many minutes are there between 9:05 PM and 4:13 AM?
428
How many minutes are there between 5:51 PM and 4:15 AM?
624
What is 325 minutes after 2:21 AM?
7:46 AM
What is 240 minutes before 10:41 AM?
6:41 AM
How many minutes are there between 9:38 PM and 8:08 AM?
630
What is 96 minutes after 5:36 AM?
7:12 AM
How many minutes are there between 10:00 PM and 11:32 PM?
92
How many minutes are there between 5:52 PM and 10:57 PM?
305
How many minutes are there between 10:22 PM and 5:26 AM?
424
What is 618 minutes after 5:03 PM?
3:21 AM
What is 344 minutes before 8:34 PM?
2:50 PM
How many minutes are there between 6:49 PM and 9:04 PM?
135
How many minutes are there between 5:54 PM and 6:43 PM?
49
How many minutes are there between 9:52 PM and 9:38 AM?
706
How many minutes are there between 1:11 AM and 3:39 AM?
148
What is 416 minutes before 1:03 PM?
6:07 AM
How many minutes are there between 8:00 AM and 7:45 PM?
705
What is 313 minutes after 3:01 AM?
8:14 AM
How many minutes are there between 3:48 PM and 1:40 AM?
592
What is 627 minutes before 12:01 PM?
1:34 AM
What is 185 minutes before 10:50 AM?
7:45 AM
What is 25 minutes before 2:33 PM?
2:08 PM
How many minutes are there between 9:08 AM and 4:51 PM?
|
{
"pile_set_name": "DM Mathematics"
}
|
f 15708?
7
What is the units digit of 499176?
6
What is the hundred thousands digit of 192923?
1
What is the thousands digit of 1902715?
2
What is the ten thousands digit of 8960533?
6
What is the hundreds digit of 520960?
9
What is the ten thousands digit of 80450?
8
What is the ten thousands digit of 187975?
8
What is the units digit of 1148?
8
What is the ten thousands digit of 639705?
3
What is the tens digit of 32712?
1
What is the units digit of 889549?
9
What is the units digit of 2053313?
3
What is the units digit of 195724?
4
What is the hundreds digit of 47544?
5
What is the hundreds digit of 936041?
0
What is the tens digit of 77191?
9
What is the thousands digit of 359195?
9
What is the units digit of 166669?
9
What is the ten thousands digit of 6196297?
9
What is the tens digit of 582943?
4
What is the thousands digit of 1129605?
9
What is the thousands digit of 1009171?
9
What is the hundred thousands digit of 766657?
7
What is the tens digit of 15575631?
3
What is the millions digit of 7064747?
7
What is the hundred thousands digit of 505992?
5
What is the thousands digit of 13867526?
7
What is the hundreds digit of 916265?
2
What is the hundreds digit of 21505832?
8
What is the hundreds digit of 337956?
9
What is the units digit of 14567462?
2
What is the units digit of 217193?
3
What is the ten thousands digit of 47408?
4
What is the hundreds digit of 13914229?
2
What is the units digit of 602125?
5
What is the units digit of 167348?
8
What is the units digit of 5239810?
0
What is the hundreds digit of 417584?
5
What is the hundred thousands digit of 22798336?
7
What is the hundred thousands digit of 701728?
7
What is the units digit of 3089785?
5
What is the units digit of 84516?
6
What is the hundred thousands digit of 20307127?
3
What is the hundreds digit of 2442300?
3
What is the hundreds digit of 174138?
1
What is the units digit of 1337403?
3
What is the units digit of 2208323?
3
What is the tens digit of 772332?
3
What is the units digit of 418545?
5
What is the ten thousands digit of 2448971?
4
What is the millions digit of 21431139?
1
What is the hundreds digit of 9865381?
3
What is the units digit of 155798?
8
What is the millions digit of 25394684?
5
What is the tens digit of 77189?
8
What is the units digit of 6917186?
6
What is the hundred thousands digit of 935548?
9
What is the thousands digit of 600008?
0
What is the hundreds digit of 3539986?
9
What is the units digit of 25608?
8
What is the millions digit of 1188222?
1
What is the hundred thousands digit of 303204?
3
What is the tens digit of 503430?
3
What is the hundred thousands digit of 213038?
2
What is the tens digit of 265931?
3
What is the millions digit of 5448751?
5
What is the ten thousands digit of 799157?
9
What is the ten thousands digit of 37163?
3
What is the hundred thousands digit of 633176?
6
What is the thousands digit of 13532794?
2
What is the hundreds digit of 15332354?
3
What is the millions digit of 3290065?
3
What is the thousands digit of 344694?
4
What is the ten thousands digit of 24099981?
9
What is the ten thousands digit of 477435?
7
What is the ten millions digit of 10420074?
1
What is the thousands digit of 451863?
1
What is the ten thousands digit of 444401?
4
What is the tens digit of 175696?
9
What is the tens digit of 17381751?
5
What is the ten thousands digit of 3653584?
5
What is the thousands digit of 187673?
7
What is the ten thousands digit of 168226?
6
What is the units digit of 699083?
3
What is the hundred thousands digit of 177326?
1
What is the ten thousands digit of 605725?
0
What is the units digit of 957400?
0
What is the units digit of 53927?
7
What is the thousands digit of 1111914?
1
What is the tens digit of 162022?
2
What is the thousands digit of 2017107?
7
What is the hundreds digit of 25323?
3
What is the ten thousands digit of 124671?
2
What is the units digit of 1987397?
7
What is the hundred thousands digit of 191093?
1
What is the millions digit of 16306061?
6
What is the ten thousands digit of 546657?
4
What is the hundred thousands digit of 1108429?
1
What is the hundred thousands digit of 8917827?
9
What is the tens digit of 1801881?
8
What is the hundred thousands digit of 392838?
3
What is the millions digit of 1807993?
1
What is the hundreds digit of 39277?
2
What is the tens digit of 490759?
5
What is the hundreds digit of 5060331?
3
What is the hundred thousands digit of 772303?
7
What is the hundreds digit of 784949?
9
What is the thousands digit of 498140?
8
What is the thousands digit of 327431?
7
What is the units digit of 98989?
9
What is the tens digit of 1368248?
4
What is the ten thousands digit of 1730173?
3
What is the thousands digit of 1117406?
7
What is the thousands digit of 2487?
2
What is the hundreds digit of 8278253?
2
What is the hundreds digit of 4579887?
8
What is the hundreds digit of 5420930?
9
What is the tens digit of 13344535?
3
What is the hundred thousands digit of 223324?
2
What is the millions digit of 1463571?
1
What is the ten millions digit of 22826979?
2
What is the hundreds digit of 726251?
2
What is the units digit of 680694?
4
What is the tens digit of 3071099?
9
What is the thousands digit of 289156?
9
What is the hundred thousands digit of 255994?
2
What is the tens digit of 4744534?
3
What is the hundred thousands digit of 6796115?
7
What is the thousands digit of 16449034?
9
What is the units digit of 1299574?
4
What is the tens digit of 298575?
7
What is the tens digit of 3724590?
9
What is the millions digit of 37391261?
7
What is the hundred thousands digit of 169240?
1
What is the hundred thousands digit of 1284407?
2
What is the ten thousands digit of 895200?
9
What is the millions digit of 4054269?
4
What is the thousands digit of 398967?
8
What is the hundreds digit of 80929?
9
What is the tens digit of 6967534?
3
What is the thousands digit of 2108737?
8
What is the millions digit of 1403389?
1
What is the hundred thousands digit of 3542743?
5
What is the ten thousands digit of 4346765?
4
What is the thousands digit of 53168?
3
What is the hundred thousands digit of 659062?
6
What is the thousands digit of 506498?
6
What is the hundred thousands digit of 133394?
1
What is the tens digit of 69183?
8
What is the units digit of 1581220?
0
What is the tens digit of 7996983?
8
What is the ten thousands digit of 8108340?
0
What is the ten thousands digit of 169221?
6
What is the hundreds digit of 3664319?
3
What is the tens digit of 399801?
0
What is the hundred thousands digit of 280779?
2
What is the units digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
is the closest to v? (a) 2 (b) -0.06 (c) 3
b
Suppose 0 = -5*v - 31*v - 36. Suppose -f - f + 12 = 4*j, -2 = -4*j + 3*f. What is the nearest to v in 0.01, j, 0.5?
0.01
Let s = 140 - 134. What is the nearest to 0.2 in -3/7, 1, s?
-3/7
Let x = 293 - 293. Which is the nearest to x? (a) 2/3 (b) 0.4 (c) 33 (d) 0.2
d
Let k = -75.3 + 7.3. Let r = k - -72. Which is the nearest to 1? (a) 0.6 (b) 0 (c) r
a
Suppose 8 = 2*l - 0. Suppose l*o + 9 = o. What is the closest to 0.1 in 5, -4, o?
o
Let i be (-2)/(-12) - (-10)/(-15). Let z = -140 - -279/2. What is the closest to z in 2, 0.1, i?
i
Let m = -16 + 53. Let z = 39 - m. What is the nearest to 1/3 in z, 4, -1?
-1
Let p = -0.42 + 0.02. Let s = -3676/3 + 1225. Which is the nearest to s? (a) 1 (b) p (c) 1/7
b
Let h be 100/(-105) - 4/(-14). Suppose -2*k + 3 = -5. Let f(o) = -o + 10. Let l be f(10). Which is the nearest to -0.2? (a) h (b) l (c) k
b
Let k = 0 + -0.2. Let z = 34 + -39. What is the closest to 0.1 in k, 2/3, z?
k
Let w = -5143/1498 + 1/214. What is the nearest to 1 in w, 0, 0.1?
0.1
Let s = 4 - 8. Let z be (-20)/(-42)*(-10)/(-4). Let b = -13/7 + z. What is the closest to b in s, -0.4, 0.1?
-0.4
Let k = 0.048 - -0.352. Which is the closest to -0.05? (a) 2 (b) k (c) -4 (d) 0
d
Let j(c) = -8*c + c**2 + 0*c**2 + 2*c + 4*c. Let k be j(0). Let a = -4/15 + -1/15. What is the closest to 2/21 in k, 2/7, a?
k
Let g = -1.7348 - 0.2652. Let x = 57 - 229/4. Which is the closest to x? (a) g (b) -4 (c) 2
a
Let d be (-82)/(-4) - (5 + -7). Suppose 0*q + 127 = -5*z - 3*q, 5*z - 2*q = -107. Let x = z + d. What is the closest to x in 3, -2, 5?
-2
Let o = -2.89 + -0.11. Let t = -1.2 + 0.9. Which is the nearest to 0.2? (a) o (b) -0.2 (c) t
b
Let m be 3 - (5 - 1 - -2). Which is the closest to m? (a) -1 (b) -0.9 (c) 2
a
Let g = 14.09 + -10.09. Let c be -2 + 1/(10/16). What is the closest to 0 in 3/5, c, g?
c
Let w = -0.893 - -0.734. Which is the closest to 1? (a) -0.5 (b) w (c) 2 (d) 3
c
Let m(k) = -112*k - 593. Let f be m(-5). Which is the nearest to -0.2? (a) f (b) 2/7 (c) 2
b
Let c be -2 + (-1 - 2772/(-15)). Let w = c + -181. Let i be (-2)/12 + (2/3)/1. What is the nearest to i in 2, -4/11, w?
w
Let x be ((-4)/40)/(20/(-8) - -2). Suppose 66 = -3*i + 12. Let h be 2/i - (-10)/30. Which is the nearest to -0.1? (a) x (b) h (c) -0.5
a
Let l = -18 + 17. Let p(o) = -35*o - 247. Let s be p(-7). Let v = -6.7 - -7. What is the closest to -2 in v, s, l?
s
Let n(f) = -3*f + f**3 + 0*f - 2 + 39*f**2 - 42*f**2. Let i be n(4). What is the nearest to 1/3 in -0.3, 0.9, i?
0.9
Let i = -0.445 - -0.545. Which is the nearest to i? (a) 0.9 (b) 1/2 (c) 1
b
Let q = 36 + -255/7. Suppose -3*v + 4*y + 0 = -3, 0 = 2*v + 3*y - 2. What is the nearest to 0.4 in q, -2, v?
v
Let w be 2 - (1 + 1)*1. Let z(a) = -2*a**3 - 3*a**2 + 1. Let f = 3 + -5. Let v be z(f). What is the nearest to w in -0.2, -1/4, v?
-0.2
Let h = -13.015 + 0.015. Let l = h + 12.8. Which is the nearest to l? (a) 5/7 (b) -1 (c) 1
b
Let o = -995/6 - -165. What is the nearest to 2 in o, -4, 5?
o
Let h = 1382 + -12448/9. What is the nearest to -4 in -2/7, h, -0.4?
h
Let h = -0.026 + -0.074. Suppose 5*f - 5 + 20 = 0. What is the closest to h in f, 5, 4?
f
Suppose o - r - 5 = 0, 0 = -3*o - 2*o + r + 13. Suppose -6 = 4*c + o. Suppose 0 = 3*h - 2*h. What is the nearest to h in c, 1/3, 0?
0
Let x = -33 + 61/2. Let l = -754/3795 - 1/759. Which is the closest to x? (a) -5 (b) 0.5 (c) l
c
Let r = -210 + 212. What is the closest to r in 1/5, 0, 1, 0.5?
1
Let s = -21.5 + 21.9. Which is the closest to 0? (a) 1 (b) s (c) -6/5
b
Let s = 38 + -102. Let o = s - -59. What is the closest to -2 in o, 4/7, 0.2?
0.2
Let r = -1193 + 1192. What is the closest to r in 0.2, -0.5, 1?
-0.5
Let o = -72 - -71. Let p(y) be the second derivative of -y**3/6 + y**2 + 3*y. Let u be p(4). What is the nearest to o in -0.5, -4, u?
-0.5
Let h = -8 + 6. Let z = 87.6305 - 0.0305. Let r = -88 + z. Which is the closest to -1/4? (a) h (b) r (c) 1/3
b
Let r = -0.054 - 1.946. Which is the nearest to r? (a) 3/2 (b) 0.5 (c) 3/7
c
Let j = 3.951 - -0.049. What is the nearest to j in
|
{
"pile_set_name": "DM Mathematics"
}
|
third derivative of -31*u**6 + 0*u**5 - 10180*u**2 + u**5 + 3*u**b + 10274*u**2 wrt u?
-3360*u**3 + 60*u**2
Differentiate 2537 + 124715*o**4 - 62550*o**4 - 62543*o**4 + 2*o wrt o.
-1512*o**3 + 2
Let m(b) = -35*b**3 + 34*b**3 + b + 7*b + 7*b**2 + 16. Let a be m(8). What is the second derivative of -3*r - 3*r**4 + 19*r**4 + a*r wrt r?
192*r**2
Let p(q) be the first derivative of -779*q**6 + 147*q**2/2 - 2915. What is the second derivative of p(y) wrt y?
-93480*y**3
Let w(y) be the first derivative of 125*y**4 - 3740*y**3/3 - 1102. What is the third derivative of w(p) wrt p?
3000
What is the second derivative of 369*j + 424*j - 639*j**2 - 1413*j wrt j?
-1278
Let p = 66 + -63. Find the second derivative of -20*i**4 - 3*i + 3*i**4 - 2*i**p - 2 + 12*i**4 wrt i.
-60*i**2 - 12*i
Let j(i) = i**2 + 5*i - 21. Let y be j(3). What is the second derivative of -1 - 29*a**4 - 1 - 87*a + 4*a - y*a**2 + 19*a**4 wrt a?
-120*a**2 - 6
Let h(y) be the third derivative of 13*y**2 + 0*y**3 - 43/12*y**4 - 4 + 0*y - 31/20*y**5. What is the second derivative of h(w) wrt w?
-186
Let b(k) = 25 - 12 - 4*k**4 + 3*k**4 - 12. Let d(i) = 3*i**4 + 34*i**3 - 10*i**2 - 2. Let m(w) = -2*b(w) - d(w). What is the third derivative of m(h) wrt h?
-24*h - 204
Suppose -3*z + 2*u = 4, -3*z - 21*u + 20*u + 11 = 0. What is the third derivative of -4*a**2 - 11*a**2 - z - 15*a**2 - 47*a**3 + a**4 wrt a?
24*a - 282
Suppose 296 = 4*h + 76. Differentiate -h + 31 + 57*p**4 - 10 with respect to p.
228*p**3
Let h(r) = -r**3 + r**2 + 5*r + 7. Let o be h(3). Differentiate 5 + 10*t - 52 + 5 + 12*t - 3*t**o with respect to t.
-12*t**3 + 22
Let s = -51 + 64. Let w(n) = n - 11. Let d be w(s). What is the third derivative of -3*a**2 - 4*a**2 - 17*a**3 - 7*a**d wrt a?
-102
Suppose 0*w - 4*w = -28. What is the second derivative of 66*y**3 + 11*y**2 - w*y**2 - 4*y**2 - y wrt y?
396*y
Let q(w) be the third derivative of 1543*w**5/30 - 127*w**4/3 - w**3/6 + 16*w**2 + 4*w + 4. Find the second derivative of q(y) wrt y.
6172
Suppose -v = 5*k - 6, 4*v + 42 = 5*k + 191. What is the derivative of -62*m + 8*m**3 + v*m + 34*m + 103 wrt m?
24*m**2 + 3
Let a = 20 - 20. Suppose a = -7*s - 95 + 466. What is the second derivative of 53 + 13*g + 11*g**2 - s wrt g?
22
Suppose 65*m - 55*m = 390. What is the third derivative of 0*t**3 + 94*t + 94*t - 189*t + 3*t**3 + m*t**2 wrt t?
18
Let b = -10 + 12. Suppose 0 = a + b*a, 54 = 3*z + 2*a. What is the second derivative of 90*x**3 - 36*x**3 + z*x - 43*x**3 wrt x?
66*x
Let x be (2 + (-6 - 5))*-4. What is the third derivative of -x*l**2 + 4*l**3 + 9*l**3 + 2*l**2 - 12*l**3 wrt l?
6
Let s(x) be the second derivative of 2225*x**3/6 - 1112*x**2 - 4612*x. Differentiate s(j) with respect to j.
2225
What is the second derivative of -2*j**3 - 2797*j**2 + 3139*j**2 - 5 - 2*j + 344 wrt j?
-12*j + 684
Let o = -471 - -504. Find the second derivative of 24*f + 4*f**4 - 7*f**4 + o*f + 7*f wrt f.
-36*f**2
Let v be (-10)/(-4)*(-16)/(-24)*3. What is the third derivative of -v*n + n**2 + 3140*n**3 + n**2 - 3044*n**3 + n**4 wrt n?
24*n + 576
Let f = -19 - -25. Suppose f = 6*g - 0. Differentiate -g - 18*l - 15 - 6*l - 2*l wrt l.
-26
Let f be -1 + 1119 + (-8 - -11). Suppose 0 = -2*s + 3*y + f - 97, -3*s + y + 1536 = 0. What is the second derivative of -512 - 6*u + s - 14*u**2 wrt u?
-28
Let v(y) be the first derivative of 37 + 0*y**2 + 0*y + 24*y**3 + 5/6*y**6 + 0*y**5 + 3/4*y**4. Find the third derivative of v(x) wrt x.
300*x**2 + 18
What is the first derivative of -2*r**3 - 3*r**3 - 5606 + 2*r**3 - 200*r**4 + 2602 wrt r?
-800*r**3 - 9*r**2
Let n(w) = 812*w**3 - 56*w**2 - 1092*w - 28. Let c(l) = 2*l**2 + 2*l + 1. Let g(v) = 28*c(v) + n(v). Find the second derivative of g(t) wrt t.
4872*t
Let i(g) be the third derivative of 0*g**5 + 3/8*g**4 - 119*g**2 + 0*g**7 - 13/48*g**8 + 0 + 0*g + 0*g**3 + 0*g**6. Find the second derivative of i(v) wrt v.
-1820*v**3
Let l be (8/(-14))/(3/49)*-15. Find the first derivative of 211*q + l*q - 71*q + 66*q - 136 wrt q.
346
Let n(p) be the first derivative of 2*p**3/3 + 205*p**2/2 - 167*p + 1382. What is the derivative of n(j) wrt j?
4*j + 205
What is the third derivative of -1964190*j + 1964190*j + 1080*j**2 + 2770*j**3 wrt j?
16620
Let c = 19 - 14. Let d(w) be the first derivative of -4*w + 3*w**3 + c*w + 14*w - 3*w - 7. What is the first derivative of d(q) wrt q?
18*q
What is the third derivative of -1996*x**6 + 966*x**6 - 151*x**4 - 2*x**2 + 1040*x**6 + 1621*x wrt x?
1200*x**3 - 3624*x
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
-1/5, -2/11 in increasing order.
-1/5, -2/11, l
Let m(b) = -6*b + 1. Let l(n) = n**3 + 2*n**2 + 1. Let o be l(-2). Let q be m(o). Sort 2, q, 6 in increasing order.
q, 2, 6
Let m = -5 + 3. Let p be -3 - (-3)/(165/151). Let b = p - -5/11. Put m, -4, b in descending order.
b, m, -4
Let n = 10 - 6. Let p = 1 + -1.4. Put p, n, 2/9 in descending order.
n, 2/9, p
Let c be (-1 + 1)/(-3 + 2). Let z be 14/10 + (-2)/1. Put z, c, 2/3 in decreasing order.
2/3, c, z
Let k = 0 + 1. Let g be 0 + k + -1 - -1. Let p = -3/8 - -15/8. Sort p, g, -0.2.
-0.2, g, p
Let j(b) = -b**2 + 9*b - 10. Let i be j(7). Let a be i/58 + 0/(-8). Put 0.2, a, 3 in ascending order.
a, 0.2, 3
Let s(i) = 2*i + 4. Let q be s(-3). Let b(j) = -2*j**3 - j**2. Let k be b(-2). Let v be (-1)/(-4) - 51/k. Put 5, v, q in decreasing order.
5, q, v
Suppose 0 = -3*u + 3*v, -3*u + 1 = -4*v - 1. Let m be 5 + (-1)/(u + 3). Sort m, 3, -2 in descending order.
m, 3, -2
Suppose i + 3 = -1. Let m be (-10)/2 - (i - -4). Let g = -4 - m. Sort g, -5, 5 in decreasing order.
5, g, -5
Let n = 81/5 - 16. Let g be (-2)/5 - 62/(-80). Sort -3, g, n in ascending order.
-3, n, g
Let s = -14 + 11. Let m = 2 - 2. Sort m, 5, s.
s, m, 5
Suppose r + 11 = 4*a, -3*a - 7 = 5*r + 2. Suppose -m = -1 - 0. Let s(d) = -d + 3. Let j be s(5). Put j, r, m in descending order.
m, j, r
Let k = 6 + -8. Sort k, -3, -12 in ascending order.
-12, -3, k
Suppose -3*p + 8 = -p. Put 2, -1, p in ascending order.
-1, 2, p
Suppose a = 2*d - 8, d = 2*d + 5*a - 15. Suppose -5*o + d*w = 25, 4*o + 5*w - 25 = -o. Put -1, o, 4 in increasing order.
-1, o, 4
Suppose -2*j + 0 + 4 = 0. Suppose -3*u - j*g + 1 = 2, 0 = 2*u + g - 1. Let x be 2/(-3)*u*-1. Put -2, 0, x in decreasing order.
x, 0, -2
Suppose 0 = -y + 5, m + 3*y - 9 = 3. Put 5, 12, m in ascending order.
m, 5, 12
Let v be -1*(0 - -1)*0. Sort v, -2, -3.
-3, -2, v
Let i be 2/3*-1 - 3640/(-4641). Let k = -4 - -2. Let h be 7/(-2) - k/4. Put i, -0.3, h in decreasing order.
i, -0.3, h
Let j be 1/3 - (-16)/6. Suppose 3 = k - 3*i - 1, 2*k = -2*i + 8. Suppose 3*n - 4*n = k. Sort j, n, -5 in ascending order.
-5, n, j
Let k = 10 + -9. Sort -5, k, 2.
-5, k, 2
Let d(r) = r**3 + 3*r**2 - 3*r + 7. Let l be d(-4). Sort l, -7, -3 in increasing order.
-7, -3, l
Let o be ((2 - 8) + 4)/(-2). Put -5, -21, o in ascending order.
-21, -5, o
Let d = -12 + 19. Let i be (d/(-21))/((-1)/9). Put -4, i, 5 in increasing order.
-4, i, 5
Let z = 1.044 + -0.044. Put z, -4, -5 in decreasing order.
z, -4, -5
Let b = 47 - 189/4. Put b, 4, -0.2 in descending order.
4, -0.2, b
Let w = 0.48 - 0.08. Let z = -0.18 + -7.82. Let k = -11 - z. Sort 0.1, k, w.
k, 0.1, w
Let f = -10 + 11. Let a = -7 - -7. Sort a, f, -1/2 in ascending order.
-1/2, a, f
Let m = 137 + -545/4. Put -5/4, -3/5, -4, m in ascending order.
-4, -5/4, -3/5, m
Let y = -27 + 40. Put -4, 1/5, y, -3 in descending order.
y, 1/5, -3, -4
Let n(o) be the first derivative of -o**4/4 + 11*o**3/3 - 5*o**2 + 2*o - 1. Let q be n(10). Let c = 2.5 - 2. Sort 0, q, c in increasing order.
0, c, q
Let y = 0.149 + -0.549. Sort -2/11, -4/7, y, 0.
-4/7, y, -2/11, 0
Let y be (0/(-2))/(-8 - -5). Sort -0.02, -1, -0.2, y.
-1, -0.2, -0.02, y
Suppose -22 = -4*y + 8*y - g, 2*y + 12 = g. Sort 3, 0, y, 5 in descending order.
5, 3, 0, y
Let h = 13 - 8. Suppose -u - 24 = 2*u + 5*m, m - 12 = h*u. Let s = 0 - 2. Put s, -4, u in descending order.
s, u, -4
Let g = -1.3 - -0.3. Suppose -6 = 6*b - 3*b. Put b, 0.03, g in ascending order.
b, g, 0.03
Let w = -1494 + 1489. Let f = 4.2 - 0.2. Let i = -1 + 1.2. Sort f, w, i in decreasing order.
f, i, w
Let j = 8.8 - 9. Put -3.2, 3/2, -0.4, j in increasing order.
-3.2, -0.4, j, 3/2
Suppose -2*a - 5*z = -29, -5*z + 2*z + 7 = -4*a. Let j be (-2 - (-9)/3) + a. Sort 4, -3, j.
-3, j, 4
Suppose 0*u = -3*u - 3*m, 5*m = 2*u + 7. Let v be 2/(-2*1) + u. Suppose -2 - 9 = -4*d + n, -2*n - 6 = -4*d. Sort -5, v, d in decreasing order.
d, v, -5
Let t(y) = y**3 + y + 2. Let k be t(0). Sort k, 1, 52.
1, k, 52
Let r = -14 + 17. Suppose -4*a + v - 6 - 15 = 0, 17 = -4*a - r*v. Sort 0, -4, a.
a, -4, 0
Let p = 27 - 45. Let j be 8/p*6 + 2. Suppose 7*u
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is the nearest to 0.1? (a) t (b) 5 (c) -0.1
c
Let d be (-20)/60*3/5. Which is the closest to d? (a) -4 (b) 1/4 (c) 1/10
c
Suppose -4*u + 5*r - 15 = -3, 0 = -2*u + 2*r - 6. Let o be -2 + 4 + 2 + -2. Suppose 6 - 2 = -o*v, 0 = -4*g - 4*v - 12. What is the nearest to g in -1/2, u, 4?
-1/2
Let n be ((-7)/2)/7*0. Let v be (-735)/(-1044) + (-18)/24. Let z = -107/435 - v. What is the closest to -1 in z, -2/7, n?
-2/7
Let k(w) = w + 4. Let t be k(-6). Let m = -1973 + 1971. Let u = 0.11 - -0.09. Which is the nearest to t? (a) u (b) m (c) 2/9
b
Let l = -324 + 371.3. Let w = l + -47.2. Let u be 1 + 1 + (-3)/2. Which is the nearest to w? (a) 1 (b) -1/6 (c) u
b
Let d = -2155.7 + 2156. Let m = 0.17 + 17.63. Let g = m + -18. What is the nearest to 0.8 in g, -3, d?
d
Let u be (-112)/(-392) - (-6019)/(-21). Let m = u + 286. What is the closest to -1 in -0.4, m, 3?
-0.4
Let m = -4 - -6. Let z be (m/(-12))/((-20)/15 - -2). Let c be (-1)/(-3)*(-3 - 10/(-5)). What is the closest to -3 in -4, c, z?
-4
Let y = 62.364 + -61.864. Suppose 3*u - 298 = 5*u. Which is the closest to u? (a) -0.2 (b) -1 (c) y
b
Let w be 8 - (-2388)/1470*-5. Let q = w + -8/49. What is the closest to -2/5 in 7/4, q, 3, 0.1?
q
Suppose u + 4*q = 3*u - 2, -3*u + q - 12 = 0. Suppose 5*y = -2*l + 3 - 24, -4*l + 18 = -2*y. Let g = u + l. Which is the nearest to 4? (a) 2 (b) 3 (c) g
b
Let z = -4 - -7. Let k = 0.0182908 - 0.3182908. Which is the closest to -1? (a) k (b) z (c) -2/5 (d) 0.5
c
Let l be 0 - 1 - 30/(-40). Let z = -73 - -73.003. Let r = 0.003 - z. What is the nearest to 1 in -4, r, l?
r
Let z = -157 - -139. Let y = -13.8 - 4.2. Let t = z - y. What is the nearest to t in 0.4, -3/2, -1/10?
-1/10
Let a = -1 + -2. Let h be (-1)/5*(21 - 19). Let q = -1.47 + 1.67. What is the closest to h in q, 0.1, a?
0.1
Let z = 47.49 + -43.49. Suppose -4*y + i = 21, 4*i - 7 + 19 = 0. Let c = y - -11/2. What is the closest to c in -4, 2, z?
2
Let z = 277.08 - 276.58. Which is the nearest to -6? (a) 4 (b) -0.3 (c) 48 (d) z
b
Let j = 3493 + -3492.78. What is the closest to 2/7 in -4, j, 0.1, 1/2?
j
Let h be ((-105)/(-63) - 1)/((-16)/18). Which is the nearest to -5/6? (a) h (b) -7 (c) 5
a
Let p be (2/40)/((-2)/(-5)). Let f = 0.602797 - 0.102797. Which is the closest to -7? (a) f (b) 0.2 (c) p (d) 11
c
Let i = -11366 - -11244. Which is the nearest to -0.1? (a) 0.1 (b) i (c) 0.2
a
Let h = 12004.4 + -12004. What is the nearest to 0 in 0.07, 189, h?
0.07
Let x = 25460 - 25461. What is the nearest to x in -0.3, -2, -1/7, -10.4?
-0.3
Let p = 22686 + -22685.8. Which is the nearest to 1/4? (a) 3/8 (b) -77 (c) -2 (d) p
d
Suppose w + 3*p = 14, -5*p + 9 + 26 = 4*w. Which is the closest to 15? (a) -1 (b) w (c) 0 (d) -2/7
b
Let a(u) = -u**2 - 376*u - 112. Let t be a(0). What is the nearest to 0.2 in 1/7, -1, t?
1/7
Let o = -1.79 - -2.97. Let p = 0.98 - o. Let m = -1/41 + -159/205. What is the nearest to 0.1 in p, m, 0?
0
Let q = 209 - 121. Let x = 1768 - 1669. Let d = q - x. What is the nearest to d in 0, 0.2, 3?
0
Let l = 3903 - 3903. What is the closest to -1/3 in l, 2/159, -3?
l
Let n = 7124 + -35622/5. What is the nearest to 3/4 in 3, 27, n, -2?
n
Let b = 1/24 + -3/8. Let w = -6482 - -6481.7. What is the closest to 2/3 in w, -0.1, b?
-0.1
Let h be (-6)/((-504)/64 + 2/(-16)). What is the closest to 1 in h, -5, 3, 4/3?
h
Let g be 17 - (-43)/((-5117)/2037). Let n = 0.8 - -0.2. What is the nearest to 2 in 4, n, g?
n
Let y = 3040 - 3039.34. Which is the nearest to y? (a) 4 (b) 1 (c) -0.1
b
Let p = -8781 + 8780. Which is the closest to 2/3? (a) p (b) -6.6 (c) 0
c
Let w = 2597.8 + -2598. Let k = -18 - -5. Let z = 9 + k. What is the nearest to w in z, 2/15, -0.2?
-0.2
Let b(o) = 3*o**3 + 15*o**2 - o - 3. Let d be b(-5). What is the nearest to -38/3 in 0.4, -8, d, -5?
-8
Let b = 1093 + -706. Let v = b - 390. Let g(l) = -l - 3. Let s be g(-5). What is the nearest to v in 5, s, 0.2?
0.2
Let o = -1097/68 + 65/4. Let t = -5 + 2. Let x be t - (40/(-6) - -3). What is the closest to x in 0.4, -2/9, o?
0.4
Let b = -22.065 + 22. Let a = 0.635 - b. Let d = 20.2 - 20. What is the nearest to 1/5 in a, d, 3/7?
d
Let r = -26 + 149. Let t = 114.
|
{
"pile_set_name": "DM Mathematics"
}
|
k - 3*k = -n*i + 6, 2*k - 2*i = 0 for k.
-3
Let t = -4294 + 4300. Solve 0 = 4*d - 10*h + 7*h + 9, -3*d + 3*h = t for d.
-3
Let t = -44 + 50. Let s(k) = 9*k - 50. Let y be s(t). Let o be ((-2)/7)/(y/(-14)). Solve 5*q = -x + o, 3*q + 3*x = 7*q - 16 for q.
1
Suppose -20*g = -24*g - 32. Let i be g/(-14) - (-20)/(-35). Solve 0 = -p - 5*x - 4, -2*p = -i*p - 2*x - 4 for p.
1
Let q be 23 + (2254/(-343) - 4/(-7)) + -8. Solve -5*u + 21 = -5*i + 9*i, q = u + 2*i for u.
1
Let a = -882 + 892. Suppose 25*m - 23*m = a. Solve m*q = -5*n + 40 - 15, 0 = -4*q + 3*n + 13 for q.
4
Suppose 0 = 19*w - 668 - 621 + 1232. Solve 0 = -3*u - w, -2*u - 3*u + 11 = 4*q for q.
4
Let y(q) = 7*q**2 + 264*q - 71. Let m be y(-38). Solve t + w + m = 0, -2*w - w + 6 = 0 for t.
-7
Suppose -295 = -24*y - 124 - 147. Solve 20 = 4*n, -2 + y = 3*f + n for f.
-2
Let o(d) = -d**3 + 4*d**2 - 2*d + 1. Let q be o(2). Suppose 3*g - 12 = z, 16 = -7*g + 11*g + q*z. Solve 4*r = -3*c + 9 + g, 5*c = 3*r + 12 for c.
3
Let y(d) = d**3 + 21*d**2 + 96*d - 10. Let m be y(-7). Solve -5*i = m*p - 15, -3*p - 87*i + 86*i = -3 for p.
0
Let g = 1184 - 677. Let w = 510 - g. Solve w*b + 6 = -v - 0*v, b = -2*v - 7 for v.
-3
Let m = -141 + 146. Solve 16 = -m*k + 2*d, 5*d + 14 = -2*k + k for k.
-4
Let j(s) = -193*s - 2313. Let n be j(-12). Solve 7*h = -5*y + 3*h + 37, -3*y = n*h - 24 for y.
5
Let y(v) be the first derivative of v**3/3 + 5*v**2 + 26*v - 14. Let g be y(-4). Solve 10 = g*q - 5*m, -2*m - 2 = 2*q + 2 for q.
0
Let x = -38 + 49. Suppose -2*p - x = -7. Let b be ((1 - 28/(-8))*p)/(-1). Solve 2*q + 15 = -5*h + 5*q, 3*h - 2*q = -b for h.
-3
Suppose -6 = -5*i - 5*t - 16, -9 = 2*i + 3*t. Solve 2*a + 12 = -i*u, -2*u - 10 = 3*a - 2 for a.
0
Let o be (-1393)/1194 + 25/6. Solve p + 8 = -j, -o*p - 12 = -5*j - 28 for j.
-5
Let q = 1 - -2. Let y be (82/10)/(4/20). Let p = 62 - y. Solve 11 = -3*x + d, -8*x + q*x + 3*d = p for x.
-3
Let u(s) = -s**2 + 12*s + 7. Let w(y) = -2*y - 1. Let p(g) = u(g) + 6*w(g). Let m be p(1). Solve m*f - 7 = 2*k + f, -5*f = 15 for k.
-2
Suppose 3*d + 2*x = 15, -16*d - 5*x - 57 = -19*d. Solve -2*p + 7*c = d*c - 8, -3*p = 4*c - 16 for p.
0
Suppose -2*r = 3*i - 20, -5*i - 3*r + 8 = -24. Solve -5*c = -5*x - 35, -i*x + 33 = -9*x + 4*c for x.
-5
Suppose -3*g + 201 = 4*n, -8*n + 7*n + 3 = 0. Solve -p - 5*m + 18 = 0, 2*m - 71 + g = 0 for p.
-2
Let c(x) = x**3 - 8*x**2 - 20*x + 2. Let n be c(10). Solve 4*p - 3*f = -12, -n*p - 3*f = -4*f + 4 for p.
0
Let r be (110/(-25))/(4/(-10)). Let g(y) = -4 - r*y + 26*y - 13*y. Let a be g(4). Solve 0*f - a*t = 5*f + 9, -2*t - 4 = 2*f for f.
-1
Suppose 9*s = 4127 + 1291. Let o = -597 + s. Solve 0 = 2*p + 2*h - 4, -o*p - 4 - 6 = h for p.
-3
Suppose -a + 4 - 5 = 0, -3*t - 2*a = -10. Let f be (-400)/900*(-18)/t. Solve n - 3*r - f*r = 9, -3*n + 2*r + 1 = 0 for n.
-1
Let t = -994 - -996. Solve 5*k + 20 = 0, 5*k + 26 = t*x + 8 for x.
-1
Suppose -m = -w + 158, -1 = w - 2. Let j = m - -160. Solve -5*c + 3 + 22 = 3*n, j*c = 2*n - 4 for c.
2
Let w be (-25 - -30)/(1*1/1). Let r(l) = 7*l**2 - l + 1. Suppose 1 = -b - 1. Let h be r(b). Solve -4*x - w*p + h = 0, x = 2*x - 4*p + 8 for x.
4
Let c = -5756 + 5786. Solve 5 = t + 3*n, 4*t - 20 = -c*n + 29*n for t.
5
Let x = 3985 + -3960. Solve 3*p - 216 = -3*a - 201, 0 = -5*a + x for p.
0
Suppose -11*m - 9 = -31. Suppose -5*x - u + 11 = -2*x, 3*x - 23 = m*u. Solve 0 = -4*o - b + 20, -3*o = -6*o - x*b + 15 for o.
5
Let y(c) = 2*c + 64. Let i be y(-31). Solve 2*b = -i*b - 2*u + 4, 0 = b + 5*u + 8 for b.
2
Suppose 4*g = -4*c + 36, -c = g - 6*c - 9. Solve -5*h = 4*n - 8, -g + 29 = 5*h for n.
-3
Let t = 5211 + -5204. Solve 0 = 3*l + b - 2*b + t, 2*l + 2*b + 18 = 0 for l.
-4
Suppose 0*q = -18*q + 132 - 42. Solve -2*d - 19 = -3*y, q*d + 2*y - 12 = -31 for d.
-5
Suppose -109*k = -121*k - 192. Let r be k/64 + (-5)/(-4). Solve 5*z + 5*u + 20 = 0, -2*u
|
{
"pile_set_name": "DM Mathematics"
}
|
n 50 is divided by r?
22
Suppose 3*w = -0*w - 3*p, -2*p = -2*w + 8. Suppose 3*x = 5*g - 6 + 31, -w*g = -2. Calculate the remainder when 15 is divided by x.
5
Let r(w) = 18 - 2*w + 31 + 8*w - 2*w. Calculate the remainder when r(9) is divided by 11.
8
Suppose 109 = -3*t + 10. Let g = 36 + t. Calculate the remainder when 10 is divided by g.
1
Let t(h) = 2*h**2 - 5*h + 20. Let q be t(8). Let b = 162 - q. Suppose 10*k = 7*k + b. Calculate the remainder when 53 is divided by k.
17
Let s be (-168)/(-36)*(-6)/(-4). Suppose 4*w + 204 = s*w. Calculate the remainder when w is divided by 18.
14
Let u(v) = v**3 - 4*v**2 + 2*v + 7. Let j be u(4). Let q = 23 - j. What is the remainder when 47 is divided by q?
7
Let s = -27 + 64. Suppose 0 = 5*u - 4*u - d - 41, -4*u + 162 = -3*d. Let j = u - 26. What is the remainder when s is divided by j?
11
Let i = 206 + -171. What is the remainder when i is divided by 9?
8
Suppose 4*i = 3*l - 97, -10 = -3*l - 1. Let m = i + 34. What is the remainder when 29 is divided by m?
5
Suppose 7*g = 8*g. Suppose n + 14 = -g*n. Let x = 34 - n. Calculate the remainder when x is divided by 10.
8
Suppose 7*f = -f + 288. Calculate the remainder when 85 is divided by f.
13
Let r(l) = -l**3 + 13*l**2 - 25*l + 32. Let g be r(11). What is the remainder when (-148 + g)*(29 - 30) is divided by 38?
35
Let o be -4 - (4 - 4/(-2)). What is the remainder when 2/((24/o)/(-6)) is divided by 4?
1
Let s(m) be the second derivative of -m**5/20 - m**4/2 - 11*m**3/6 - 9*m**2/2 - 30*m. Calculate the remainder when 61 is divided by s(-5).
19
Let c(b) = -2*b - 23. Let z be c(7). Let r = z + 42. Calculate the remainder when r is divided by 2.
1
Suppose 4*p = 3*q + 5, -5*p - 4*q = -3*q - 11. What is the remainder when (258/24)/(p/16) is divided by 18?
14
Suppose n + i - 1203 = -3*n, -n - 2*i = -292. Suppose -4*z = -n + 42. What is the remainder when z is divided by 17?
14
Let u = -29 - -48. Let o = 0 + u. What is the remainder when o is divided by ((-6)/(-9))/((-4)/(-30))?
4
Let p = -96 + 209. What is the remainder when p is divided by 38?
37
Let r = -1194 + 1207. Calculate the remainder when 218 is divided by r.
10
Let t = 125 + -118. Suppose 3*o = z - 5, -t*z + o - 25 = -8*z. What is the remainder when z is divided by 7?
6
Let g(c) = -6*c**3 - 4*c + 7*c**3 + 21 + 4*c - 15*c**2 + c. What is the remainder when 141 is divided by g(15)?
33
Let f = -33 - -69. Let o = -4948 + 4958. Calculate the remainder when f is divided by o.
6
Let u(v) = -v**3 - 5*v**2 - 5. Suppose -5*f + a - 25 = 0, -5*a - 33 = f - 2. What is the remainder when u(f) is divided by 12?
7
Suppose 5*g - 24 = -3*m + 3429, -2*g = 2*m - 2302. What is the remainder when m is divided by 96?
95
Let b be 5*-1 + (-18)/((-12)/(-2)). What is the remainder when 154 is divided by (-306)/b + ((-76)/(-16) - 4)?
37
Let u(g) = g**3 + 2*g**2 - 9*g + 6. What is the remainder when 90 is divided by u(3)?
18
Let r = 34 - 15. Let h = r + -17. Suppose -5*d + h*y = -74, y = 2*d - y - 32. Calculate the remainder when 40 is divided by d.
12
Suppose 0 = 4*v - 0*v + 3*g - 382, 3*g + 200 = 2*v. Suppose 4*k = -3*y + 71, -2*y - 3*k + v = 2*y. Calculate the remainder when 148 is divided by y.
23
Suppose -4*r + 6 = 5*t - 5*r, 2*t - 5*r + 16 = 0. Suppose 8 = -t*b + 172. Suppose 5*v - 21 = 4*v. What is the remainder when b is divided by v?
19
Suppose 0 = -5*s + 2*w + 531, 0 = 3*s - 5*s - 3*w + 201. Suppose -2*d = 2, -5*f - 3*d = -s + 8. What is the remainder when f is divided by 6?
2
Let o(i) = i - 12. Let x be o(9). Let w = -1 - x. Suppose -w*n + 4*n = 114. Calculate the remainder when n is divided by 15.
12
Suppose -381 - 64 = -5*f + 3*r, -5*f + 470 = 2*r. Calculate the remainder when 364 is divided by f.
88
Let j = 37 - 37. What is the remainder when 38 is divided by j + (-11)/(22/(-20))?
8
Let w = -14 + 16. Suppose 0*b + l = b - 10, -5*b = w*l - 15. Suppose 0*z + 5*a = -b*z + 35, 27 = z - 3*a. Calculate the remainder when 35 is divided by z.
11
Let f = 279 + -162. What is the remainder when f is divided by 21?
12
Calculate the remainder when 129 is divided by 3 + 26 + (-20)/10.
21
Let y(g) = -g**3 + 4*g**2 + 9*g - 15. Let m be y(5). Suppose -2*i + 90 = m*h, -4*h - 2*i + 72 = 2*i. What is the remainder when h is divided by 7?
4
Suppose 0 = -2*t + 7*t - 40. Let w = 25 - 68. Let b = 55 + w. What is the remainder when b is divided by t?
4
Let x(m) = -4*m - 2. Let n = 16 - 26. Let u = n - -15. Calculate the remainder when u is divided by x(-1).
1
Suppose 62*c - 58*c - 1640 = -3*d, 6 = 3*c. Calculate the remainder when d is divided by 14.
12
Suppose 9*w + 783 = 36*w. What is the remainder when 461 is divided by w?
26
Suppose -5*p = 3*q - 31 - 16, 5*p - 19 = -q. What is the remainder when (106 - 102)/(1 + 11/(-13)) is divided by q?
12
Let c(o) = 3*o - 18. What is the remainder when 23 is divided by c(12)?
5
Let y(t) = -t**3 - 7*t**2 + 13*t + 5. Let v(k) = 2*k**2 - 13*k + 34. What is the remainder when y(-9) is divided by v(3)?
11
Suppose -6*d - 340 = 98. Let k = d + 131. Suppose k = 3*z - z. What is the remainder when z is divided by 15?
14
Let w = 48 - 45. Suppose 0 = -3*c + w + 12. What is the remainder when c is divided by 4?
1
Suppose 5*g - 90 = 100. Calculate the remainder when 227 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 3*c. Let k be x(-1). Suppose 3*p - 9 = -0*p, 5*f + 4*p = k. Which is smaller: 1 or f?
f
Suppose -3*y + 4*y + y = 0. Suppose 2*q + y*u + 3*u = -52, -4*u = 4*q + 96. Let v = 0.2 + 0.8. Which is smaller: q or v?
q
Let x(y) = -25*y - 174. Let c be -28*((-18)/(-8) + -2). Let j be x(c). Which is smaller: j or 10?
j
Let s(l) = -252*l + 40. Let x be s(0). Is 26 greater than or equal to x?
False
Suppose -2*c - 3*p = 2420, -24*c = -23*c + p + 1207. Which is bigger: -1202 or c?
c
Let w be (-20 - (-986)/51)/((-90)/2052). Let s be (-2)/(-1 + 3) - -8. Suppose 0 = -5*j + 63 + s. Which is smaller: j or w?
j
Let t(b) = b**3 + 10*b**2 + 7*b - 12. Let a be t(-10). Let v be -1 - a/10 - 18/(-45). Are v and 7 equal?
False
Let a = -10.08 + -1.62. Let g = a + 12. Let n = -0.1601 - -0.2501. Is n at most g?
True
Let o = 333 - 387. Let n = o + 48. Which is smaller: n or 11?
n
Let d(l) = l**2 - 4*l - 2. Let q be d(0). Let u = q + -6. Let t be (4/24*u)/(0 - -2). Are t and -2 equal?
False
Suppose -5*t + 192 = -4*l, -t = -3*t - 4*l + 88. Let i = -6030 - -6608. Let o be 4/t + i/20. Is o bigger than 0?
True
Let s = 9284947/4 - 2334664. Let h = -13513 - s. Which is greater: -85 or h?
-85
Let s = 0.69 + 1.74. Let z = s - 104.43. Let d = -102.1 - z. Is d bigger than 14?
False
Let i = 0.08021 + 0.29679. Which is smaller: 1/4 or i?
1/4
Let u be ((-334)/(-3))/((-1104)/(-1656)). Is -8 < u?
True
Let x = 266 + -265. Let h be ((-3)/(-2) - x) + (-75)/2. Which is greater: h or -11?
-11
Let k be ((-45)/(-165))/((-43)/11 - -4). Let n = -6560/96409 - -36/421. Let r = n - -2720/1603. Is r not equal to k?
True
Let f be 6 - (-1 + 10) - 1614. Let l be f/2574 - 2/(-3). Which is bigger: 0 or l?
l
Let u(f) = -f**3 + f**2. Let a(i) = 4*i**3 - 13*i**2 - i - 10. Let s(l) = a(l) + 3*u(l). Let w be s(10). Let o be (-92)/w - (-4)/10. Which is smaller: o or 7?
o
Let w(c) = -752*c + 3522. Let z be w(6). Which is smaller: 2 or z?
z
Let y = -23220 - -23219. Which is bigger: -31/120 or y?
-31/120
Let t be 18/(-4)*(-4)/3. Let b = -182032 - -1274267/7. Does b = t?
False
Let l be 12/15*(-45)/(-2). Let r be (-99)/(-22) - (-6)/(-4). Suppose 3*g + d - 50 = -d, -6 = r*d. Is l <= g?
True
Let g = 494.1 - 285. Which is smaller: g or 3/10?
3/10
Let g = -17653 - -17815. Which is smaller: g or 224?
g
Let c = 12510 + -12511. Which is greater: 16/787 or c?
16/787
Let o(k) = 196*k**2 + 45*k - 2. Let s be o(-3). Let n = s - 109011/67. Let p = 2 + -1. Is n at most as big as p?
True
Let c(u) = 2*u**2 - 14*u + 12. Let y be c(6). Suppose y = 12*i + 2*i - 56. Suppose -4 = -m - 3. Which is smaller: i or m?
m
Let b(r) = 7*r**3 + 5*r**2 - 27*r - 25. Let n be b(-1). Let j be (-2)/(-8) + (-7)/(-12). Is j less than n?
False
Let s = 423001138007/9990 + -254054689/6. Let f = s - 218/27. Which is smaller: f or -1?
-1
Suppose -12*i - 616 = -8*i. Let h be (212/(-10))/(4 + i/35). Let w = h + -44. Which is greater: 31/3 or w?
31/3
Suppose -2*m + 75*p = 71*p + 436, 6*p - 18 = 0. Which is smaller: -202 or m?
m
Let f be (-9)/126*7 - (-9)/(-2). Let n(r) = -37*r - 185. Let j be n(f). Which is greater: j or 2/185?
2/185
Let j = 193 - 121. Suppose 3*m - 54 = 5*s, 2*m - j = -2*m + s. Let h be (m/132)/((-1)/2). Does 1 = h?
False
Let t be 4 - ((-10)/(-4) + (-2)/4). Let f be t + (-26450)/4601 - -2. Let d = 76/43 + f. Which is smaller: 0 or d?
0
Let v(a) = -a**3 - 4*a**2 - 2*a + 1. Let p be v(-3). Let u(m) = 193*m - 140. Let s be u(-5). Let f = -1109 - s. Which is bigger: p or f?
p
Let u(v) = -1029*v**3 + 3*v**2 - 112*v - 114. Let f be u(-1). Is 1031 <= f?
False
Let q = 105 + -52. Suppose -3*m - 8 = -3*j - q, 65 = -3*j - m. Which is smaller: -19 or j?
j
Let m be 2 + (39/(-6) - 2). Let l = 12286 - 12292. Is m not equal to l?
True
Let y = 180905 + -420423229/2324. Is -1 not equal to y?
True
Suppose y - 141 - 51 = 0. Suppose -7*l + l - y = 0. Let w = l + 366/11. Is 2 greater than w?
True
Let p be (-225)/(-56) + -4 + 0. Suppose -42*b + 38 = -4*s - 40*b, -3*s - 24 = 3*b. Is s smaller than p?
True
Let g = -267/5 - -9894/185. Let i = 117/74 - g. Is i at least 1?
True
Suppose 3 = -3*t - 6. Let n(u) = -u**2 + 9. Let i be n(t). Suppose 12 = -i*l - l. Is l > -3/4?
False
Let l = -7612/63 + 852/7. Are 1/4 and l unequal?
True
Suppose -20 = -k - 3*k. Suppose 5*m = 5*j + 5, 4*j + k = -0*m + 5*m. Let b = -1022 - -986. Do b and j have the same value?
False
Let m = -311 - -320. Suppose -1269 = -m*v + 108. Which is smaller: v or 154?
v
Let l be 2/9 - 65/9. Suppose 4*g = 5*i + 103, 223 =
|
{
"pile_set_name": "DM Mathematics"
}
|
ultiple of 90 and 36?
180
Find the common denominator of -43/3 and 67/45135.
45135
What is the common denominator of -73/810 and 91/2250?
20250
Calculate the smallest common multiple of 6 and 132.
132
What is the lowest common multiple of 12 and 1608?
1608
What is the common denominator of 7/32 and 81/44?
352
Calculate the common denominator of -95/1842 and 99/16.
14736
Find the common denominator of 64/621 and -143/6.
1242
Calculate the common denominator of -43/80 and 37/50.
400
Calculate the least common multiple of 18 and 290.
2610
What is the smallest common multiple of 220 and 10?
220
Calculate the lowest common multiple of 60 and 102.
1020
What is the least common multiple of 380 and 12?
1140
Calculate the common denominator of 143/54 and 53/81.
162
Calculate the common denominator of 28/303 and 59/15.
1515
What is the common denominator of -169/756 and -16/153?
12852
Find the common denominator of -149/13542 and -127/30.
67710
Find the common denominator of 93/10 and -19/67.
670
Calculate the smallest common multiple of 6 and 1984.
5952
Calculate the common denominator of 137/66 and -62/165.
330
Calculate the common denominator of -10/69 and 37/207.
207
Calculate the common denominator of -29/1708 and -35/1159.
32452
Calculate the lowest common multiple of 12 and 24.
24
Calculate the lowest common multiple of 80 and 440.
880
Calculate the common denominator of 67/3145 and 97/3885.
66045
What is the common denominator of -119/470 and -107/12?
2820
What is the common denominator of 76/45 and -67/165?
495
What is the common denominator of -91/20 and 97/100?
100
Calculate the lowest common multiple of 1351 and 1158.
8106
Calculate the common denominator of 60/91 and 54/143.
1001
Calculate the least common multiple of 70 and 28.
140
Find the common denominator of -79/2 and -89/172.
172
What is the common denominator of 45/2576 and 113/70?
12880
Calculate the lowest common multiple of 35 and 7.
35
Calculate the common denominator of -85/56 and -59/112.
112
Find the common denominator of -37/1520 and 7/380.
1520
Calculate the least common multiple of 84 and 24.
168
What is the smallest common multiple of 284 and 6?
852
Find the common denominator of 157/30 and -47/267.
2670
What is the common denominator of 19/4 and 101/228?
228
What is the smallest common multiple of 96 and 36?
288
Find the common denominator of -143/30 and -131/42.
210
Calculate the common denominator of 25/126 and -5/8.
504
What is the common denominator of 29/9 and 47/11?
99
Calculate the common denominator of -113/84 and 115/406.
2436
What is the lowest common multiple of 5 and 2?
10
What is the common denominator of -123/310 and 44/3?
930
What is the lowest common multiple of 1088 and 680?
5440
What is the common denominator of -55/2896 and -25/14?
20272
What is the lowest common multiple of 36 and 308?
2772
Find the common denominator of -113/18 and 38/81.
162
Calculate the least common multiple of 576 and 192.
576
Calculate the common denominator of -55/48 and -15/448.
1344
Calculate the common denominator of -65/9 and 52/129.
387
What is the common denominator of -19/138 and -18/7?
966
What is the lowest common multiple of 34 and 153?
306
Find the common denominator of 44/87 and 79/87.
87
Find the common denominator of -1/153 and -44/51.
153
Calculate the common denominator of -37/6 and 51/55.
330
Find the common denominator of -34/15 and -71/114.
570
Calculate the common denominator of 49/40 and -51/92.
920
What is the common denominator of -121/40 and -57/20?
40
What is the common denominator of -32/43 and 11/9?
387
Find the common denominator of -85/1184 and 35/16.
1184
Calculate the common denominator of 69/140 and -137/126.
1260
Calculate the smallest common multiple of 10 and 39.
390
What is the least common multiple of 1044 and 11?
11484
Calculate the lowest common multiple of 14 and 56.
56
Calculate the least common multiple of 12 and 126.
252
Find the common denominator of 53/168 and 121/336.
336
Calculate the smallest common multiple of 85 and 5.
85
What is the least common multiple of 44 and 99?
396
Calculate the common denominator of -29/3 and -38/819.
819
Calculate the least common multiple of 113 and 678.
678
Calculate the lowest common multiple of 96 and 32.
96
What is the lowest common multiple of 3 and 18?
18
Find the common denominator of 44/145 and -54/203.
1015
What is the smallest common multiple of 3 and 350?
1050
Find the common denominator of 45/82 and -127/6.
246
What is the common denominator of 11/12 and -139/6?
12
What is the common denominator of -29/36 and -67/1256?
11304
Calculate the smallest common multiple of 21 and 951.
6657
Calculate the common denominator of 21/832 and -119/936.
7488
Calculate the smallest common multiple of 1071 and 630.
10710
What is the least common multiple of 6359 and 10?
63590
Calculate the least common multiple of 618 and 1648.
4944
What is the common denominator of 89/570 and -59/10?
570
What is the lowest common multiple of 55 and 95?
1045
Calculate the least common multiple of 189 and 945.
945
What is the common denominator of -77/1172 and 69/4?
1172
Calculate the common denominator of 46/7 and 71/62.
434
Find the common denominator of -49/10 and 51/140.
140
Find the common denominator of -17/1323 and 121/756.
5292
Calculate the common denominator of 25/106 and 107/20.
1060
What is the smallest common multiple of 335 and 150?
10050
Find the common denominator of 43/1380 and -101/138.
1380
Find the common denominator of 3/22 and -157/342.
3762
Find the common denominator of -11/306 and 47/20.
3060
What is the common denominator of -115/6 and -103/54?
54
Calculate the common denominator of 23/87 and -5/2.
174
Calculate the common denominator of 81/8 and 61/6.
24
Find the common denominator of -93/22 and 59/6.
66
Calculate the smallest common multiple of 11 and 10811.
118921
What is the common denominator of -37/468 and -173/30?
2340
What is the lowest common multiple of 62 and 160?
4960
Find the common denominator of 73/30 and -16/21.
210
Calculate the common denominator of -11/14 and 25/2844.
19908
Calculate the smallest common multiple of 21 and 49.
147
Calculate the common denominator of -77/156 and 65/6.
156
Calculate the smallest common multiple of 2 and 1868.
1868
Find the common denominator of 127/114 and 125/6.
114
Find the common denominator of 151/294 and -55/756.
5292
Calculate the least common multiple of 1435 and 1435.
1435
Calculate the common denominator of -23/201 and -73/15.
1005
What is the common denominator of -77/837 and -145/2232?
6696
Calculate the smallest common multiple of 384 and 9.
1152
Calculate the common denominator of -5/136 and 57/170.
680
What is the lowest common multiple of 8 and 48?
48
Find the common denominator of 59/15 and -73/327.
1635
Find the common denominator of -13/11 and 43/118.
1298
What is the lowest common multiple of 150 and 100?
300
What is the common denominator of 49/12 and 41/255?
1020
Find the common denominator of -29/68 and 33/4.
68
What is the smallest
|
{
"pile_set_name": "DM Mathematics"
}
|
s + 20 for s.
5
Let g = -2 - -3. Let n = 1 - g. Solve n = b - 3 - 1 for b.
4
Let h(i) = -i**2 - 6*i + 4. Suppose -3*m + 29 = -13. Suppose -4*z = -2*k + m, 23 = -4*k + 3. Let f be h(z). Solve f*c + 8 = -0 for c.
-2
Suppose -c = v - 2, 5 + 1 = 3*v. Solve c = -4*z - z - 20 for z.
-4
Let p = -8 - -4. Let a be (6/p)/(1/(-2)). Solve a*i + 8 = -1 for i.
-3
Suppose -3*u + 7 = 4. Let l be -1 - ((1 - 1) + -3). Let h = u + l. Solve h = -4*m + 19 for m.
4
Let h(u) = -u**3 - 5*u**2 - 5*u - 3. Let z be h(-4). Let a = z + 5. Solve a = 3*g - 5*g for g.
-3
Suppose -2*k = 2*k + 3*v - 17, -5*k + 27 = -2*v. Suppose 10 = 5*s - 4*p, 0 = -4*s + 3*p + k + 3. Suppose -2*b + 0*b = -s. Solve w + 1 = -b for w.
-2
Suppose 4 = 3*k - 2*g, -3*g + 19 + 9 = 4*k. Suppose 0 = -w - a + 3, -k*w + 19 = w + 3*a. Suppose -5*v = w - 20. Solve -v*y = -0 + 9 for y.
-3
Suppose -5*h + 3*x = -19, 0 = -5*h - 4*x - 2. Let o be h*(9/2 + -3). Solve -5*t + 2 + o = 0 for t.
1
Suppose 2*j - 12 = -8. Let t = -1 - 3. Let s be (-2)/((-3)/((-18)/t)). Solve -j*c - s + 9 = 0 for c.
3
Let m be (48/(-28))/((-8)/28). Solve -m*c = -2*c + 16 for c.
-4
Let z be 2/(-10) + 22/10. Let n = -27 - -32. Solve n = m + z for m.
3
Let m(g) = g**2 - 3. Let h be m(0). Let b be (-21)/(-14)*(-4)/h. Solve -2*r + b + 8 = 0 for r.
5
Let b = -121 - -121. Solve b = -2*u + 5*u - 15 for u.
5
Suppose -35 = -0*z - 5*z. Solve -z*u - 12 = -3*u for u.
-3
Let f = -89 - -92. Solve f = 3*b - 0 for b.
1
Let l(g) = -g**2 + 16*g + 3. Let t be l(16). Let o be (-2)/(-2) + 1/(-1). Solve o*a - 6 = t*a for a.
-2
Let o be 1 - ((-2 - -5) + -2). Let y = -5 + 8. Let l = y - o. Solve 2 - l = a for a.
-1
Let g = -4 - -6. Suppose 0 = z - u, 4*z - 2*u + 7*u = 27. Solve z*s = g*s for s.
0
Suppose -3*j = -2*d - 1, -7 = 2*d - 0*j + 3*j. Let w be 6 + (d - -3)*-1. Let c be -3 + w + (1 - 0). Solve 2*b = c*b + 1 for b.
-1
Suppose i + 3*i = 0. Let r be (-3 + 0 + 2)/((-8)/72). Solve 3*l = -i*l + r for l.
3
Let r be (0 - 0)/(3/3). Let p be r - -3 - (6 + -8). Solve -p*w + 0 = -5 for w.
1
Let q be ((-3)/(-2))/(6/32). Suppose o = -o - q. Let u = 9 + o. Solve -u*s - 10 = -3*s for s.
-5
Suppose h = -3*h + 68. Suppose -12 = -2*c - 5*y + 13, 0 = -3*c - 3*y + 24. Solve -h = 4*i - c for i.
-3
Let k be ((-6)/4)/(-1)*2. Let b be 4/(-8)*(0 + 0). Suppose 11 = x - 5*i, b*x - 5 = 3*x + 4*i. Solve l = x - k for l.
-2
Let r(s) = -5*s - 4. Let y(n) be the second derivative of -7*n**3/2 - 8*n**2 + n. Let l(w) = 9*r(w) - 2*y(w). Let i be l(-3). Solve -2*p + p - i = 0 for p.
-5
Let r(l) = 4 - 6*l + 8*l**2 - 12*l**2 + 6*l**2. Let t be r(4). Solve -5*f = -32 + t for f.
4
Let h = 36 + -20. Let j = h - 11. Solve -j*b + b = 4 for b.
-1
Suppose 0 = g - 5*v - 22, 2*g + 5*v = -0*g - 16. Suppose y + 3*m = 7, 0*y - 23 = -g*y - 3*m. Solve 6 = -5*r + y for r.
2
Let p = 64 + -59. Suppose -35 = 5*z - 140. Solve -p*r - z + 1 = 0 for r.
-4
Suppose 3*f + 2*p + 0*p = -10, -3*p - 15 = -2*f. Let u(r) = r**3 + r**2 + 8. Let a be u(f). Solve -3*z + 5 = -a*z for z.
-1
Let g(p) = p. Let j(k) = -3*k + 1. Let u(z) = -4*g(z) - j(z). Let v be u(-1). Suppose v*a = -4*a + 36. Solve -h = 2*h - a for h.
3
Suppose 0 = 2*m - 7*m - 5, -2*m = -3*b - 97. Let a = b - -57. Let g be a/(-20)*(-40)/6. Solve 3*q + g = 20 for q.
4
Let r(i) = 2*i**2 + 6*i - 13. Let f be r(2). Let l be 1 + -2 + -1 + 7. Solve -f*y = -2*y + l for y.
-1
Let o(g) = -5*g + 8. Let u be o(6). Let v be (-2)/(-6) + u/(-6). Suppose -4*q = -4*x + 32, -q - 2*q - 3 = 0. Solve -v*b = -x*b for b.
0
Let u(z) = -5*z. Let o be 3/((-6)/8) - -3. Let w be u(o). Suppose -2*m = w*p + m - 24, -5*p + 12 = -m. Solve 0 = p*k + k + 20 for k.
-5
Suppose x + 6 = 2*t, -7*t + 16 = -2*x - 2*t. Suppose 3*p = 2*a + 3, -5*p - x*a - 2*a + 5 = 0. Solve i = p - 4 for i.
-3
Suppose 5*u = u. Let p = u - -5. Solve 13 - p = 2*f for f.
4
Let g = -51 - 44. Suppose n - 17 = -3*h, -h = 5*n - 9 - 6. Let o be g/(-35) + n/7. Solve i - 2 = -o for i.
-1
Let p(j) = j**2 + 9*j + 16. Let b be p(-2). Solve 0 = 2*w + b + 4 for w.
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let p(g) be the first derivative of g - 1 + b - g**2 + 2. What is the derivative of p(r) wrt r?
-2
Let w(k) be the second derivative of 31*k**6/30 + 20*k**2 - 11*k. Differentiate w(l) wrt l.
124*l**3
Suppose 0 = -4*b - 5 - 11. Let x = 8 + b. Differentiate -9*d - 7*d + x + 12*d with respect to d.
-4
Let i = -2 + 4. Let b = 5 - i. Let p(v) = -2*v - 2. Let l(n) = -2*n - 2. Let t(d) = b*l(d) - 2*p(d). Differentiate t(z) wrt z.
-2
Let t(a) be the third derivative of -a**9/504 - a**5/10 + 6*a**2. What is the third derivative of t(v) wrt v?
-120*v**3
Let t(c) = -c**4 - c**3 - c. Let n(w) = 4*w**4 - 5*w**3 - 2*w**2 - 5*w. Let o(m) = n(m) - 5*t(m). What is the third derivative of o(j) wrt j?
216*j
Let q(p) be the third derivative of 5*p**4/24 + 2*p**3 + p**2. Find the first derivative of q(s) wrt s.
5
What is the second derivative of 10*w**2 + 5*w**5 - 10*w**2 - 2*w + 9*w wrt w?
100*w**3
Suppose -5*h - 2 = 4*q, -11 = -h - 3*h + q. Find the third derivative of -4*a**6 - 6*a**h + a**2 + 7*a**2 wrt a.
-480*a**3
Find the first derivative of -7*t**2 + 8 - 4 - 1 wrt t.
-14*t
Suppose -3*h = -7*h + 12. Let i(u) = u + 4. Let g be i(-4). What is the first derivative of -h*s + s + g*s - 2 wrt s?
-2
Let s be ((-5)/(-4))/(3/(-12)). Let r(y) = y**2 - 6. Let j be r(s). Find the third derivative of j*u**2 + u**6 - 3*u**6 - 16*u**2 wrt u.
-240*u**3
Let w(d) = -2*d - 4. Let q = 12 + -17. Let x(g) = -g - 3. Let l(j) = q*x(j) + 4*w(j). Differentiate l(a) wrt a.
-3
Let z(l) = -1. Let t(u) = 14*u - 16. Let h(k) = -t(k) + 3*z(k). What is the first derivative of h(n) wrt n?
-14
Let n(k) be the second derivative of 0*k**3 - 7/30*k**6 - 7/12*k**4 + 0*k**5 + 0*k**2 + 3*k + 0. What is the third derivative of n(q) wrt q?
-168*q
Let n(i) be the first derivative of -i**5/4 + 2*i**2 + 6*i + 4. Let x(t) be the first derivative of n(t). What is the derivative of x(j) wrt j?
-15*j**2
Let a(v) be the third derivative of -11*v**7/210 - 5*v**3/2 - 19*v**2. Differentiate a(c) wrt c.
-44*c**3
Let r(t) = -2*t + 0*t**2 - 4*t**2 + 3*t**2. Let u be r(-2). Differentiate -z**3 + u*z**3 - 1 + 0 with respect to z.
-3*z**2
Suppose 5*z - 5 = 5. Suppose -4*t + 22 = -z*k, 3*t = k + 3*k + 24. What is the second derivative of -x**2 + 4*x + t*x**2 - 2*x wrt x?
6
Let v(p) = 23*p**2 + 7. Let s(l) = 24*l**2 + 8. Let r(h) = -3*s(h) + 4*v(h). Differentiate r(w) wrt w.
40*w
Let t(d) = -10*d**4 - 2*d**3 - 2*d**2 - 10*d. Let h(j) = -7*j**4 - j**3 - j**2 - 7*j. Let y(c) = -7*h(c) + 5*t(c). Find the third derivative of y(k) wrt k.
-24*k - 18
What is the third derivative of 27*m**2 + 64 - 16*m**5 - 64 wrt m?
-960*m**2
Suppose 0*d - 6 = 5*r + 4*d, 5*d = r - 22. Find the second derivative of -2*i - i + 4*i - i**4 - r*i**4 wrt i.
-36*i**2
Let s(r) be the second derivative of 1/10*r**5 + 0 + 11*r + 0*r**2 - 1/6*r**4 + 0*r**3. What is the third derivative of s(h) wrt h?
12
What is the second derivative of -5*x**2 + 3*x**2 - 2*x**2 + 10*x**2 - 3*x wrt x?
12
Let a(o) be the first derivative of -19*o**4/4 - 3*o**2/2 - 9. What is the second derivative of a(b) wrt b?
-114*b
Let v be 0 - -1*(1 + -2). Let d be (v - 0)/(5/(-20)). Find the second derivative of 5*z - d*z - z**2 - 3*z wrt z.
-2
Let q(t) be the first derivative of -9*t**7/7 - 13*t**3/3 + 8. Find the third derivative of q(k) wrt k.
-1080*k**3
Suppose -u = 5*r - 10, 0 = 5*r - 4*u - 10. Differentiate -4 + r*v**2 + 3 - 3 with respect to v.
4*v
What is the third derivative of -u**2 + 5*u**6 - u**2 + 5*u**6 wrt u?
1200*u**3
Suppose 7*w + 11 = 4*z + 2*w, -5*z + w = -19. What is the second derivative of l + 3*l**3 + 0*l**2 + 4*l**2 - z*l**2 wrt l?
18*l
Let b(i) be the first derivative of -2/5*i**5 + 0*i**4 + 0*i + 0*i**3 + 3*i**2 + 7. What is the second derivative of b(x) wrt x?
-24*x**2
Let n(k) = -11*k**4 + 11*k**2 + 10*k + 11. Let i(z) = 5*z**4 - 6*z**2 - 5*z - 6. Let r(o) = 11*i(o) + 6*n(o). Find the second derivative of r(p) wrt p.
-132*p**2
What is the third derivative of 119*q**2 + 11*q**6 - 4*q**6 - 120*q**2 wrt q?
840*q**3
Let z(b) be the first derivative of -2*b**6/3 + 3*b**2 - 1. What is the second derivative of z(r) wrt r?
-80*r**3
Let c(h) = -11*h**6 - 4*h**5 - 4*h**3 - 9*h**2 + 4. Let x(p) = -p**5 - p**3 + 1. Let l(i) = -c(i) + 4*x(i). Find the third derivative of l(o) wrt o.
1320*o**3
Let u(x) be the first derivative of 6*x**6 + 32*x**3/3 - 4. Find the third derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
96). What is the closest to l in -2, -0.1, -2/7?
-0.1
Let k = 0.0776 + -1.6786. Let p = k - -1.43. Let z = 0.071 + p. What is the nearest to -0.3 in z, -0.4, -5?
-0.4
Let k = 0.0298 - -10.8942. Let y = k - 11. Let u = -3.924 + y. What is the nearest to -4 in 2, -2, u?
u
Let m = -0.422 - -0.362. Let o = -1.06 - m. Which is the closest to o? (a) 0.1 (b) -6 (c) 0 (d) 0.2
c
Let i = 3 + -1. Let z = -2176/23 + 6505/69. Let h = -107/186 + -8/31. Which is the closest to -2/5? (a) z (b) i (c) h
a
Let t = -19278/5 + 3854. Which is the nearest to t? (a) 0.2 (b) -1/5 (c) 24 (d) -5
b
Let q = -342 + 341.833. Let w = q - -0.067. Which is the nearest to 1? (a) w (b) 0.4 (c) 0
b
Let u(r) = 13*r**2 - 360*r + 225. Let i be u(27). What is the nearest to 8 in i, -5, 0.3?
0.3
Let r = 6803.1 + -6803. Suppose -k - 4 = -0*k. Let v be 7/k + 3/12. What is the nearest to r in v, -0.16, -2/5?
-0.16
Let x be ((-252)/420)/((-6)/(-25)). Which is the closest to 0? (a) -2/45 (b) -0.4 (c) x (d) -1
a
Let a be 88/30 - 3 - (-7)/((-2205)/114). What is the nearest to 1.879 in -1, a, 1/4?
1/4
Let w = 30 - 25. Let d(m) = m**3 - 5*m**2 - m + 6. Let s be d(w). Let l be -1*(1 + 0) - 50/(-90). Which is the nearest to s? (a) l (b) -4 (c) 0
c
Suppose -18*u + 329 + 2212 - 309 = 0. Which is the nearest to u? (a) -2/35 (b) -0.1 (c) -2/11
a
Let y be 2/13*120/(-80). Let q = 5 - 5.3. Let f = -12 + 13. What is the closest to y in -4/5, q, f?
q
Let x = -7762 - -7761.6. Which is the closest to -0.2? (a) x (b) 1/4 (c) 1 (d) 6.6
a
Let i = 41048.5 - 41049. Which is the closest to -5? (a) 5 (b) i (c) 201/4
b
Let q = 11040.4 + -11040. What is the closest to 0.1 in -57, q, 1, -2/7?
q
Let l = 4 - 9. Let s = 0.06 + -3.06. Let k = -0.6392 + 1.1392. Which is the closest to 1/4? (a) l (b) s (c) k
c
Suppose 1008 = -362*d - 440. Let l = -1.8 - -2. Which is the nearest to -1/3? (a) d (b) l (c) 5
b
Let l be 1 + 135/(-77) - 158/(-869). Which is the closest to 11? (a) 0.2 (b) -0.3 (c) 0.05 (d) l
a
Let r = 3.9758 - -0.0242. Which is the nearest to 2/47? (a) -0.2 (b) r (c) -1
a
Let q = -18 + 57. Let h = -38 + q. Let n = 33 - 32.9. Which is the closest to 1/2? (a) 1/3 (b) n (c) h
a
Let r = 7895 + -7894.9. What is the nearest to r in -0.44, 2/81, 3/2, 5?
2/81
Let l = 40969/7 + -5853. Let j(t) = t**2 + 4*t + 4. Let x be j(-3). What is the closest to 2 in l, x, -18?
x
Let x = -2.315 - -0.015. Let v = 18.22 - -5.48. Let q = v - x. Which is the closest to q? (a) -1 (b) 0.4 (c) -0.5
b
Let k = -3 - -3.1. Let j = -3.441 - 1.559. Which is the closest to -1/4? (a) -3 (b) j (c) k
c
Let t = -1.42 + -25.28. Let g = -27 - t. Let w be (3 - 3)/(3 + -2). What is the nearest to 2 in w, -3/2, g?
w
Let f = -392 - -392. Let r = 1912/5 + -382. Which is the closest to f? (a) -5/3 (b) 3 (c) r (d) -0.1
d
Let h = 24.595 + 0.205. Let i = h - 25.8. Let y = -0.1 + -4.9. Which is the nearest to -5? (a) 2/9 (b) i (c) y
c
Suppose -1106*j + 1109*j = -2*i + 8, -3*j = -2*i - 40. Let z be (-1)/(-15) + 8/60. What is the closest to -0.1 in 0.4, 4, z, j?
z
Let k = -471 - -2352/5. What is the closest to -6 in 1/9, k, 1?
k
Let x = 571 - 569. What is the nearest to -18.5 in 0.4, 1/5, x, 3?
1/5
Let r = 0.7263 + 0.2737. What is the nearest to 4/19 in r, 3/5, -3?
3/5
Let i = 594 + -594.04. What is the nearest to -0.1 in i, 4/7, 8, 2?
i
Let c be 4 + -1 + 0/5. Let k = -6/31 - -61/155. Let p be 4 + 290/(-75) - (-62)/210. What is the closest to k in p, c, -1/3?
p
Let y = 14.746 + -15.046. Which is the closest to 0? (a) 3 (b) -58 (c) y (d) -1/22
d
Let r = -17 - -13. Let i be (-1504)/192 - -2*21/6. Let v = 2.06 + -0.06. Which is the nearest to r? (a) i (b) v (c) -1/6
a
Let y = -3316 + 3316.2. What is the closest to 4/11 in y, 1, 158?
y
Let j = -0.6991 - -1.4391. Which is the nearest to -2? (a) 0.2 (b) j (c) -0.4 (d) -0.5
d
Let g = -610.25 + 496.262. Let o = g + 114. Let n = o + -5.012. Which is the nearest to -0.1? (a) -2/15 (b) n (c) 4
a
Let t = 162 - 166. Suppose -w + 12 - 8 = 0. Which is the closest to 1? (a) w (b) -0.033 (c) t
b
Let a = -1.06 -
|
{
"pile_set_name": "DM Mathematics"
}
|
, -3*u + 42 = 6*l - 3*l. Let h be u/14 + 1/(-7). Factor -h*v**3 + 1/4*v**5 + 1/4*v - 1/4*v**4 + 1/2*v**2 - 1/4.
(v - 1)**3*(v + 1)**2/4
Determine d so that -6/5*d**2 - 4/5*d**3 + 0*d + 0 + 2/5*d**4 = 0.
-1, 0, 3
Let o be (3 - 2/(-100)) + -3. Let u = o - -39/50. Find x such that -u*x + 6/5*x**2 - 2/5 = 0.
-1/3, 1
Suppose 0*p - 167 = 5*p - 2*v, p + 4*v + 29 = 0. Let i be 0 + (p/12 - -3). What is g in 0 - i*g**4 + 1/4*g**5 + 0*g**3 + 0*g**2 + 0*g = 0?
0, 1
Let n be 1 + 59/(-15) + 3. Let s(l) be the second derivative of -1/3*l**4 + 1/3*l**3 + n*l**6 + 0 + 2*l + 1/21*l**7 - 1/5*l**5 + l**2. What is t in s(t) = 0?
-1, 1
Let a(m) = m**2 - m. Let f(v) = -15*v**2 + 3*v + 12. Let p(y) = -18*a(y) - f(y). Factor p(s).
-3*(s - 4)*(s - 1)
Let v(o) = -o**2 - o - 2. Let i(x) = 2*x**2 + x + 2. Let m(s) = 2*i(s) + 3*v(s). Factor m(f).
(f - 2)*(f + 1)
Let q be (0 + -1)/((-2)/4). Let c be ((-42)/(-48))/(-7) + 41/8. Solve -8*a**3 - 5*a**c + a**2 - 19*a**4 - q*a**5 + 3*a**2 = 0 for a.
-2, -1, 0, 2/7
Let r = 34/15 - 8/5. Let 1/3*j + r - 1/3*j**2 = 0. What is j?
-1, 2
Let s(p) = 2*p**2 + 2*p**2 + p**3 + 0*p**3 + p + 6 - 4. Let o(q) = q**2 + 1. Let j(i) = -2*o(i) + s(i). Suppose j(m) = 0. What is m?
-1, 0
Factor 14 - 3*p**2 - 5*p + 23*p - 14 - 15.
-3*(p - 5)*(p - 1)
Find t such that 2*t + 0 + 4*t**3 - 6*t**3 - 5 + 3 + 2*t**2 = 0.
-1, 1
Let s(b) = 2*b + 16. Let m be s(-6). Find a such that 6*a**5 + 15*a**4 + 13*a**3 + 2*a + 11*a**3 + 3*a**m + 12*a**2 + 2*a**4 = 0.
-1, -1/3, 0
Let p(q) be the third derivative of -q**8/23520 + q**6/840 + q**5/210 + 7*q**4/24 - 6*q**2. Let s(i) be the second derivative of p(i). Factor s(t).
-2*(t - 2)*(t + 1)**2/7
Factor 2*o**2 - 1/2*o**5 + 4*o - 5/2*o**4 + 0 - 3*o**3.
-o*(o - 1)*(o + 2)**3/2
Let 8/11*t**3 - 6/11*t**4 + 10/11*t**2 + 0 - 4/11*t = 0. Calculate t.
-1, 0, 1/3, 2
Let d(o) = 2*o**2 + o - 1. Let a be d(1). Let b be 1*(2 - (1 + 1)). Factor b + 4*y**a + 7*y - 4 - 2*y**2 - 7*y**3 + 2.
-(y - 1)*(y + 1)*(7*y - 2)
Let d be 1/(-2)*4 + 4. Factor s - 3*s**d + 4*s**2 + s - 4*s**2.
-s*(3*s - 2)
Let s(y) be the second derivative of -y**6/100 - 7*y**5/200 + y**4/120 + 7*y**3/60 + y**2/10 - 6*y + 7. Solve s(x) = 0 for x.
-2, -1, -1/3, 1
Factor 2/3*f**4 + 2/3*f**3 - 8/3*f**2 - 2/3 + 7/3*f - 1/3*f**5.
-(f - 1)**4*(f + 2)/3
Let c be ((-4)/3)/(-10 + 0). Let -4/15*v**3 + 2/15 + 4/15*v - c*v**4 + 0*v**2 = 0. What is v?
-1, 1
Suppose 4*v + 14 - 2 = 0. Let u be 4/(((-9)/3)/v). Factor 0*n**3 - 6*n**3 + u*n**3 + n**4.
n**3*(n - 2)
Let j be 52/39 - (0 - 2) - 3. Let k(g) be the first derivative of -j*g**3 + g**4 - 3 + 0*g + 0*g**2. Factor k(n).
n**2*(4*n - 1)
Factor 1 - q**2 - 1/4*q + 1/4*q**3.
(q - 4)*(q - 1)*(q + 1)/4
Suppose 16 = 2*i + 2*i. Suppose 3*x + 5*r - 4 = x, i*x - 4*r - 8 = 0. Suppose -2*o + 4*o**2 - 14*o**x - 3*o**4 - 3*o**4 - 14*o**3 = 0. Calculate o.
-1, -1/3, 0
What is p in 22/5*p + 121/5*p**2 + 1/5 = 0?
-1/11
Let f(d) be the third derivative of -8*d**2 + 0 + 1/8*d**4 - 1/40*d**6 + 0*d**3 + 0*d - 1/5*d**5 + 2/35*d**7. Factor f(w).
3*w*(w - 1)*(w + 1)*(4*w - 1)
Let l = 24/11 + -194/99. Let s(k) be the first derivative of -l*k**3 - 1/3*k**2 + 0*k + 3. Determine r, given that s(r) = 0.
-1, 0
Let u(y) be the first derivative of y**4/42 - y + 2. Let o(m) be the first derivative of u(m). Find c, given that o(c) = 0.
0
Let w(y) be the third derivative of 0*y**3 - 3/70*y**7 - 1/8*y**4 - 7/40*y**6 + 0*y - 1/4*y**5 + 0 - 10*y**2. Let w(r) = 0. Calculate r.
-1, -1/3, 0
Solve 10/11*v**3 + 6/11*v - 2/11*v**4 + 0 - 14/11*v**2 = 0 for v.
0, 1, 3
Let l(d) be the third derivative of 0*d + 0*d**4 - 1/105*d**7 + 0*d**3 + 1/30*d**5 + 0*d**6 - 2*d**2 + 0. Factor l(t).
-2*t**2*(t - 1)*(t + 1)
Factor 0 + 8/11*o**2 - 8/11*o - 2/11*o**3.
-2*o*(o
|
{
"pile_set_name": "DM Mathematics"
}
|
2*m**3
Collect the terms in 173*v - v**2 + 2*v**2 - 62*v.
v**2 + 111*v
Collect the terms in -v - 2*v + 3 + 2*v + 1.
-v + 4
Collect the terms in -4*m**2 - 3*m**2 + 5*m**2.
-2*m**2
Collect the terms in -4*i**2 - 3*i + 4*i**2 - 3*i**2 + 3*i.
-3*i**2
Collect the terms in 3 - 3 - 4640*a + 4637*a.
-3*a
Collect the terms in 64*a**2 + 67*a**2 - 129*a**2.
2*a**2
Collect the terms in -6*i - 2*i + 18*i**3 + 8*i.
18*i**3
Collect the terms in 6*f**3 - 5*f**3 - 8*f**3 + 6*f**3.
-f**3
Collect the terms in 95*f - 109*f + 51*f.
37*f
Collect the terms in 1 + 10*t - 6 + 5.
10*t
Collect the terms in -1 + 351*g**2 + 1.
351*g**2
Collect the terms in 46*b**2 - 3 - b**3 + 3.
-b**3 + 46*b**2
Collect the terms in 2*u + 1 - 2 + 1.
2*u
Collect the terms in -10*u**2 + u**2 + 10*u**2 + u**2 - 4*u**2.
-2*u**2
Collect the terms in -13*q - 11*q - 17*q - 19*q + 59*q.
-q
Collect the terms in 8*z + 9*z - 7*z + 0*z.
10*z
Collect the terms in -425*l**2 + 426*l**2 + 2 - 2.
l**2
Collect the terms in 2*z**2 + 0 - 64*z + 0.
2*z**2 - 64*z
Collect the terms in -200*y + 104*y + 96*y + 20*y**3.
20*y**3
Collect the terms in 2945*f**3 - 1465*f**3 - 1473*f**3.
7*f**3
Collect the terms in 51*b**2 - 4*b - 44*b**2 + 4*b.
7*b**2
Collect the terms in 24*t**2 - 32*t**2 + 16*t**2.
8*t**2
Collect the terms in -50*r - 160 + 160.
-50*r
Collect the terms in 51*v**2 - v**2 + 25*v**2.
75*v**2
Collect the terms in -13*x - 8*x - 17*x + 3*x.
-35*x
Collect the terms in 4*k**2 - 27*k**2 + 8*k**2 + 16*k**2.
k**2
Collect the terms in 7*v**2 - 9*v**2 + 10*v**2.
8*v**2
Collect the terms in 81*b**2 - 63*b**2 - 82*b**2.
-64*b**2
Collect the terms in 16*n + 2 + 20*n - 21*n + 24*n.
39*n + 2
Collect the terms in 38*g**2 - 19*g**2 - 24*g**2.
-5*g**2
Collect the terms in 8*c**2 + 4*c**2 - 2*c**2 + 0*c**2.
10*c**2
Collect the terms in -1718*z**2 + 1718*z**2 - 3*z**3.
-3*z**3
Collect the terms in -2*o**2 + 4*o**2 - 4*o + 4*o + 21.
2*o**2 + 21
Collect the terms in 6 + 3*j**2 + 34*j**2 - 9.
37*j**2 - 3
Collect the terms in -4*i**3 + 6*i**3 + i**3 + 93*i**2 - 93*i**2.
3*i**3
Collect the terms in 10*y**2 + 430 + 428 - 11*y**2 - 858.
-y**2
Collect the terms in -18*v**2 + 20*v**2 - 24*v**2.
-22*v**2
Collect the terms in -1 + 2 + 34*o**2 + 50*o**2 - 45*o**2.
39*o**2 + 1
Collect the terms in -8*i + 3*i + 2*i + 10*i.
7*i
Collect the terms in 4*x**2 + x + 0*x**2 - x.
4*x**2
Collect the terms in 84*k + 90*k - 167*k.
7*k
Collect the terms in -6 - 12 + a**2 + 18.
a**2
Collect the terms in -2277 + 22*m**2 + 2277.
22*m**2
Collect the terms in -2 + 3 + 34*t + 0.
34*t + 1
Collect the terms in 3 - 283*m - 2 + 405*m.
122*m + 1
Collect the terms in 0*f + 6*f + 2*f.
8*f
Collect the terms in 46448*u + 2*u**3 - 46448*u.
2*u**3
Collect the terms in 201*b**2 - 104*b**2 - 100*b**2.
-3*b**2
Collect the terms in 45*j**2 - 9*j**2 - 31*j**2.
5*j**2
Collect the terms in 2*i + 54*i**2 - 56*i**2 - 2*i.
-2*i**2
Collect the terms in 289331*a - 289331*a - 7*a**2.
-7*a**2
Collect the terms in -4*n**3 - 4*n**3 + 3 - 3.
-8*n**3
Collect the terms in 2*u**3 - 9*u**3 - u**3.
-8*u**3
Collect the terms in 3*r - 15 - 7 + 8*r - 10*r.
r - 22
Collect the terms in -s - 3 - 27*s + 3.
-28*s
Collect the terms in -64*b**3 + b**2 + 75 - 155 + 80.
-64*b**3 + b**2
Collect the terms in -243378 + 243378 + 4*q**3.
4*q**3
Collect the terms in 106*n - 1 - 1 - 2*n.
104*n - 2
Collect the terms in -23*p**2 - 66*p**2 + 0*p**2.
-89*p**2
Collect the terms in -43*w + 79*w - 11*w**2 - 36*w.
-11*w**2
Collect the terms in -4201 + t**3 + 4201.
t**3
Collect the terms in 16 + 10 - 11*d**3 - 35 + 9.
-11*d**3
Collect the terms in -9*c**3 - 14*c**3 + 22*c**3.
-c**3
Collect the terms in -32*k**2 + 70*k**2 - 19*k**2 - 20*k**2.
-k**2
Collect the terms in 3 - 60*m - 2 + 9*m.
-51*m + 1
Collect the terms in -46*f - 32*f + 81*f.
3*f
Collect the terms in 1652*r + 1643*r + 4*r**2 - 3295*r.
4*r**2
Collect the terms in 5*s**2 + 61 - 61.
5*s**2
Collect the terms in 13*g - 83 + 83.
13*g
Collect the terms in -3*q**3 + 3*q**3 - 8*q**3 + 0*q**3.
-8*q**3
Collect the terms in -10*i**3 - 37 + 37.
-10*i**3
Collect the terms in 2*b + 2 - 2 + 317*b**2.
317*b**2 + 2*b
Collect the terms in -344 - l + 344.
-l
Collect the terms in 36*r - 4*r**2 - 36*r
|
{
"pile_set_name": "DM Mathematics"
}
|
v) = 39*v - 38. Let q(r) = -6*r + 11. Let f(b) = b - 2. Let h(c) = -5*f(c) - q(c). Let w(z) = -6*h(z) - j(z). Differentiate w(n) with respect to n.
-45
What is the first derivative of 139*s + 641 + 105*s - 244*s - 182*s**2 wrt s?
-364*s
Let m = 4 + 1. Suppose c + 11 = m*g, c = 4*c - 12. Differentiate -6 - 52*f**3 + 7*f**4 + 52*f**g with respect to f.
28*f**3
What is the derivative of 0 + 52*m**4 - 43*m**4 - 18 - 14*m**3 + 184 wrt m?
36*m**3 - 42*m**2
Let h be 15/9*(-3)/(-1). Suppose n = h*k + 2*n - 9, 3 = 4*k + 5*n. What is the third derivative of -4*s + 4*s**2 + s**2 - k*s**4 + 4*s wrt s?
-48*s
Let x(l) = -12*l**2 + 7. Let k(n) = 2 + 2 - 3. Let v(p) = p**2 - 5. Let o(g) = -5*k(g) - v(g). Let i(a) = -6*o(a) + x(a). What is the derivative of i(u) wrt u?
-12*u
Let y(j) = -267*j**4 + 12*j**3 - 153*j + 6. Let r(c) = -2*c**3 + c - 1. Let i(h) = -6*r(h) - y(h). Find the second derivative of i(q) wrt q.
3204*q**2
Let m(n) be the first derivative of -33*n**5/5 + n**4/4 + 45*n + 113. What is the derivative of m(k) wrt k?
-132*k**3 + 3*k**2
Suppose -24 = 6*c - 144. What is the third derivative of 4*f**3 + 2*f**2 + c*f**2 + 4*f**3 wrt f?
48
Suppose 8*n - 110 - 466 = 0. What is the third derivative of 1642*z**3 - 1642*z**3 - 15*z**2 + 25*z**5 - n*z**5 wrt z?
-2820*z**2
Let g(h) be the second derivative of -505*h**4/12 - 191*h**3/3 + h - 27. Find the second derivative of g(p) wrt p.
-1010
Let z(h) = -8*h**3 + 53*h**2 - 17*h - 1446. Let m(q) = -3*q**3 + 18*q**2 - 6*q - 483. Let j(w) = -17*m(w) + 6*z(w). Find the first derivative of j(n) wrt n.
9*n**2 + 24*n
Let n(t) be the third derivative of 19*t**2 + 0 + 0*t + 5/6*t**4 - 6*t**3. Find the first derivative of n(i) wrt i.
20
Let n(y) be the second derivative of 671*y**5/20 - 271*y**4/12 + y**2 - 4*y - 31. What is the third derivative of n(g) wrt g?
4026
Suppose -3*x = 2*x + 250. Let m be x/(-18) + 8/36. Differentiate -1 + c**3 + c**3 - 5*c**3 - 2*c**m with respect to c.
-15*c**2
Differentiate 406 - 55 - 124*u**2 - 37*u**2 wrt u.
-322*u
Suppose 0 = 2*h + h - 36. Find the third derivative of 6*l**5 + 8*l**2 - h*l**5 + 16*l**5 + 4*l**2 wrt l.
600*l**2
Let k(y) = -y**6 + y**2 + 1. Let i(w) = -61*w**6 - 2*w**2 - 191. Let g(n) = -i(n) - k(n). Find the third derivative of g(a) wrt a.
7440*a**3
Let z(a) be the first derivative of -12 + 0*a**4 + 0*a + 0*a**5 + 0*a**2 - 2/3*a**6 - 5*a**3. Find the third derivative of z(g) wrt g.
-240*g**2
Let h(k) be the second derivative of -4/3*k**3 - k + 0*k**4 + 0*k**2 - 11/20*k**5 + 0. What is the second derivative of h(t) wrt t?
-66*t
Suppose 2*u + 4*s - 64 = -u, 2*u = 5*s + 58. Find the first derivative of -11 + 0 + 2 + u*j**2 wrt j.
48*j
Let x(s) = -356*s**2 + 26*s - 133. Let r(n) = -178*n**2 + 12*n - 65. Let i(m) = -13*r(m) + 6*x(m). Differentiate i(p) with respect to p.
356*p
Let v(b) be the third derivative of 0*b**6 + 0 + 0*b**3 + 0*b**5 + 0*b**7 + 0*b - 5/4*b**4 + 15*b**2 - 9/112*b**8. Find the second derivative of v(z) wrt z.
-540*z**3
Find the second derivative of -2*r**3 + 52*r + 49*r - 67*r + 115*r + 15*r**5 wrt r.
300*r**3 - 12*r
Let j(v) be the second derivative of -v**7/180 - v**5/40 - 5*v**4/4 + 14*v. Let y(t) be the third derivative of j(t). Find the first derivative of y(h) wrt h.
-28*h
Let r(o) = 523*o**4 - 4*o**3 - 439*o + 4. Let g(t) = -522*t**4 + 3*t**3 + 438*t - 3. Let w(f) = 4*g(f) + 3*r(f). What is the second derivative of w(n) wrt n?
-6228*n**2
Let s(n) be the first derivative of -n - 4*n - 13 + 0*n - n**2 - n. What is the first derivative of s(t) wrt t?
-2
Find the second derivative of 26*y + 5505*y**3 - y**2 - 180*y - 5065*y**3 + y**2 wrt y.
2640*y
Let b(t) = t**5 - t**3 - t - 1. Let x(j) = -13*j**5 + 2*j**3 + j**2 + 2*j - 5. Let f(c) = 2*b(c) + x(c). Find the third derivative of f(p) wrt p.
-660*p**2
Suppose 0*l - 2*l = -2*r, 5*l = 10. What is the derivative of -9*c**2 - 15 - 2*c**2 + 5*c**r wrt c?
-12*c
Let y(k) be the first derivative of 0*k + 0*k**4 + 0*k**2 + 19/5*k**5 + k**3 + 15. What is the third derivative of y(a) wrt a?
456*a
Let l(y) be the first derivative of -67*y**4/4 + 27*y - 98. Find the first derivative of l(h) wrt h.
-201*h**2
Let z(q) = -16*q**4 - 5*q**3 - 3*q**2 - 5*q. Let u(f) = f**4 - f**3 - f - 1. Let a(n) = -5*u(n) + z(n). Find the third derivative of a(w) wrt w.
-504*w
Let i(q) = -q**
|
{
"pile_set_name": "DM Mathematics"
}
|
m**2 - 391*m**3 + 263*m**2 + 279*m**2 - 168*m**3 wrt m.
-3354
Suppose -4*p + 56 = -0*p. Let l be (-8)/(-3) + p/(-21). What is the third derivative of -2*d**2 - d**l + 3*d**2 - d**4 - 2*d**2 wrt d?
-24*d
Let u(z) be the first derivative of 2*z**3 - 16*z**2 + 22. Let n(d) = -6*d**2 + 32*d. Let t(f) = -6*n(f) - 5*u(f). Find the second derivative of t(s) wrt s.
12
Let a be 6/(-3) - (8 + -15). What is the second derivative of -4*d**5 - a + 5 - 29*d wrt d?
-80*d**3
Find the first derivative of -8552*a**3 - 8557*a**3 + 8*a + 17122*a**3 + 506 wrt a.
39*a**2 + 8
Let f(g) be the first derivative of -53*g**7/7 - 43*g**3/3 - 86. What is the third derivative of f(r) wrt r?
-6360*r**3
Let b(g) = 3*g**2 + g - 10. Let y(u) = -u**2 - 6*u + 14. Let i be y(-8). Let l(w) = w + 1. Let d(j) = i*l(j) + 2*b(j). Find the first derivative of d(m) wrt m.
12*m
Let y(g) = -289*g**3 + 5*g**2 + 6*g + 316. Let k(a) = 283*a**3 - 6*a**2 - 7*a - 316. Let l(x) = -5*k(x) - 6*y(x). Find the second derivative of l(z) wrt z.
1914*z
Let a(r) be the first derivative of 0*r**5 - 11/3*r**6 + 0*r**3 + 11 + 0*r + 3*r**2 + 0*r**4. Find the second derivative of a(n) wrt n.
-440*n**3
Let s(d) = d**2 - 4*d - 12. Let n be s(-4). Find the third derivative of n*b**2 + 3*b**5 - 42 + 42 wrt b.
180*b**2
Let f(a) be the first derivative of a**5/5 - 31*a**4 + 224*a + 50. What is the derivative of f(r) wrt r?
4*r**3 - 372*r**2
Find the second derivative of -10*m + 36*m**2 + 1 + 20*m + 3 wrt m.
72
Find the second derivative of 64*p**2 + 22*p - 22*p**2 + 29*p - 4*p wrt p.
84
What is the second derivative of 131*c**2 - 18 - 9*c + 7 - 6*c + 12 wrt c?
262
Let n(u) be the second derivative of 13*u**6/15 + 137*u**2 + 252*u. What is the derivative of n(l) wrt l?
104*l**3
Let o(c) be the first derivative of c**3 - 4*c**2 + 2*c + 55. Find the second derivative of o(z) wrt z.
6
Let g be (10 + -4)/(-2) - -5. Let b be 4/3*9/6. Differentiate g*s**2 - 8*s**b - s**2 - 8 wrt s.
-14*s
Let w(m) = 28*m + 4. Let i be w(12). Find the second derivative of -20*g**3 + 2*g - 20*g - 340 + i wrt g.
-120*g
Let g(c) be the third derivative of 119*c**5/60 - 14*c**3/3 - 5*c**2 - 7. Differentiate g(s) wrt s.
238*s
Let c(q) be the first derivative of -2*q**5/5 + 8*q**3 + 260*q - 247. Find the first derivative of c(d) wrt d.
-8*d**3 + 48*d
Find the second derivative of 565*w - 2*w**2 - 571*w + 2*w**2 - 4 - 10*w**2 + 2*w**2 - 3*w**3 wrt w.
-18*w - 16
Let u(l) be the second derivative of -l**6/10 + l**5/6 - 5*l**3/6 - 17*l. Let d(n) be the second derivative of u(n). Find the second derivative of d(w) wrt w.
-72
Find the second derivative of -29*g - 1 + 12*g + 44*g**5 + 7*g wrt g.
880*g**3
What is the third derivative of 60*c**4 + 109*c**4 - 3*c**2 + 1 + 17*c - 1 + 13*c wrt c?
4056*c
Let v(g) = -2*g**2 - 2*g. Let n(r) = 248*r**2 + 217*r. Let p(t) = n(t) + 62*v(t). Find the second derivative of p(i) wrt i.
248
Let u(r) be the third derivative of 0*r**3 + 6*r**2 + 0 + 1/2*r**5 + 0*r + 41/24*r**4. What is the second derivative of u(a) wrt a?
60
Let b(k) be the third derivative of 107*k**6/40 + k**5/60 + 13*k**4/6 - 199*k**2. What is the third derivative of b(w) wrt w?
1926
Let g(j) = -3*j**2 + 2*j**2 - 2 + 3*j**2 - 2*j. Let m be g(2). Differentiate -107*q + 7 + 107*q + q**m with respect to q.
2*q
Let p(z) be the second derivative of -527*z**6/30 + 263*z**4/12 + 394*z. Find the third derivative of p(j) wrt j.
-12648*j
Let f be ((-2)/5)/((-15)/75). Suppose b + f*b - 39 = 0. What is the derivative of b*x**2 + 0*x**2 - 6*x**2 - 5 wrt x?
14*x
Find the first derivative of -2*n**2 - 5*n**4 - 21 - 31 - 4*n**4 + 0 wrt n.
-36*n**3 - 4*n
What is the second derivative of 597*w**3 + 3928*w - 7949*w + 3489*w wrt w?
3582*w
Let j(i) be the first derivative of 0*i**4 + 0*i**5 + 7/3*i**6 + 0*i - 1/3*i**3 + 4 + 0*i**2. Find the third derivative of j(g) wrt g.
840*g**2
Let g be 6 + -2 + 6 - 3. Suppose -g + 13 = i. Find the third derivative of 8*z**2 + 6*z**6 - z**6 - 10*z**i wrt z.
-600*z**3
Let n(w) be the first derivative of 221*w**4/4 - 104*w**3 - 111. What is the third derivative of n(p) wrt p?
1326
Let i = -298 + 305. Let k(d) be the third derivative of 0*d**5 + 0*d**4 + i*d**2 - 5/6*d**3 + 0*d + 0 + 1/42*d**7 + 0*d**6. Differentiate k(f) wrt f.
20*f**3
Let b(g) be the first derivative of -g**8/105 - g**4/6 + 19*g**3/3 + 19. Let p(c) be the third derivative of b(c). What is the first derivative of p(q) wrt q?
-64*q**3
What is the first derivative of l**4 - 284 + 26*l**4 - 200 - 18*l**4 wrt l?
36*l**3
Let k(z) be the first derivative of 12*z**3 - 10
|
{
"pile_set_name": "DM Mathematics"
}
|
1101 (base 7) to base 14
201
Convert -480 (base 9) to base 3.
-112200
What is 1402 (base 15) in base 5?
114102
6342 (base 10) to base 12
3806
-80218 (base 9) to base 16
-cdbb
-3b47 (base 13) to base 15
-27c4
What is -3aa7 (base 12) in base 2?
-1101001011111
What is -234414 (base 5) in base 13?
-3c8b
Convert -3422 (base 6) to base 3.
-1002212
-100111110101 (base 2) to base 14
-d01
What is -467 (base 10) in base 6?
-2055
What is 142312 (base 9) in base 14?
239c9
-101111000110101 (base 2) to base 8
-57065
1285 (base 10) to base 14
67b
Convert -4774 (base 12) to base 4.
-1331020
What is -1e2 (base 16) in base 3?
-122212
43310 (base 9) to base 3
1110100100
-3897 (base 11) to base 13
-23ca
Convert -6048 (base 9) to base 2.
-1000101000010
18211 (base 13) to base 10
46489
What is -3a (base 14) in base 6?
-124
-10547 (base 9) to base 12
-4081
What is 1651 (base 7) in base 3?
220221
-1007 (base 12) to base 7
-5026
Convert -1ad2 (base 14) to base 13.
-22c0
What is 3322 (base 4) in base 13?
163
What is -93 (base 15) in base 3?
-12010
What is -9b07 (base 12) in base 4?
-10023313
-43203 (base 7) to base 2
-10100111101110
What is -2911 (base 14) in base 2?
-1110001100011
What is 24214 (base 5) in base 6?
12213
What is a08 (base 11) in base 16?
4c2
What is 1e0 (base 15) in base 5?
3220
Convert 433 (base 9) to base 7.
1014
What is -1123300 (base 4) in base 15?
-1b17
-1023 (base 4) to base 5
-300
What is 9ac (base 16) in base 9?
3351
Convert 10 (base 13) to base 3.
111
5671 (base 10) to base 7
22351
Convert -1856 (base 10) to base 3.
-2112202
36340 (base 7) to base 11
70a9
-421 (base 8) to base 15
-133
480 (base 9) to base 16
18c
What is -26f7 (base 16) in base 12?
-5933
42b (base 15) to base 7
2513
Convert -31231133 (base 4) to base 16.
-db5f
4447 (base 8) to base 3
10012210
Convert 2a4 (base 15) to base 9.
741
31123 (base 9) to base 8
50042
Convert 20002201 (base 3) to base 5.
120242
What is -65135 (base 7) in base 10?
-16196
What is 2f (base 16) in base 5?
142
What is -f4 (base 16) in base 4?
-3310
What is -100111001110 (base 2) in base 10?
-2510
What is 4c (base 16) in base 10?
76
Convert 556 (base 8) to base 15.
196
Convert -17230 (base 8) to base 3.
-101202002
-610 (base 7) to base 8
-455
Convert -2d7 (base 15) to base 16.
-28c
Convert -133004 (base 5) to base 12.
-3143
Convert 1731 (base 11) to base 16.
8a4
Convert 21231 (base 4) to base 12.
439
What is -4551 (base 6) in base 9?
-1424
Convert -1b77 (base 14) to base 3.
-20212101
-1050 (base 6) to base 15
-116
Convert -110010110111 (base 2) to base 10.
-3255
What is 152 (base 15) in base 16?
12e
Convert -1002210 (base 3) to base 16.
-324
What is 54022 (base 6) in base 11?
558a
What is 11033 (base 6) in base 9?
2083
Convert 214 (base 16) to base 3.
201201
-256 (base 8) to base 16
-ae
Convert 7151 (base 16) to base 12.
14955
What is -a6 (base 14) in base 16?
-92
What is 23740 (base 9) in base 13?
7320
What is b1c (base 16) in base 2?
101100011100
Convert -210201102 (base 3) to base 12.
-91b5
What is -33132 (base 4) in base 3?
-1100200
Convert 230113 (base 4) to base 7.
11164
What is 30111 (base 4) in base 5?
11124
101000011 (base 2) to base 10
323
3727 (base 11) to base 12
2999
Convert -801 (base 9) to base 12.
-461
What is 321112 (base 7) in base 2?
1101100101001000
Convert 2bb (base 13) to base 2.
111101100
Convert -211102 (base 3) to base 12.
-425
What is 1021011 (base 3) in base 9?
1234
Convert 2b48 (base 16) to base 4.
2231020
Convert 54 (base 12) to base 14.
48
What is 479 (base 10) in base 13?
2ab
Convert -dd (base 14) to base 4.
-3003
-2220 (base 3) to base 15
-53
-111101001110101 (base 2) to base 5
-2000344
What is -1313300 (base 4) in base 11?
-5838
Convert -100010100100 (base 2) to base 3.
-10000221
Convert -4034 (base 5) to base 4.
-20013
Convert -245d (base 16) to base 7.
-36066
What is -442 (base 13) in base 15?
-33a
What is 10002100200 (base 3) in base 6?
1145200
Convert 9e64 (base 15) to base 10.
33619
Convert -810d (base 15) to base 12.
-1391a
Convert 655 (base 14) to base 6.
5443
Convert -1562 (base 15) to base 13.
-2123
What is -21000 (base 4) in base 11?
-484
-625 (base 7) to base 10
-313
-71 (base 15) to base 3
-10221
What is -323113 (base 5) in base 13?
-5039
Convert -1371 (base 12) to base 4.
-203011
93b1 (base 14) to base 6
313435
What is -866 (base 11) in base 8?
-2020
What is -97d (base 14) in base 10?
-1875
-20131 (base 5) to base 2
-10100001011
What is -72 (base 12) in base 8?
-126
What is -524 (base 10) in base 11?
-437
-4462 (base 9) to base 11
-2527
30223 (base 4) to base 5
11221
Convert -10101 (base 2) to base 10.
-21
-22446 (base 12) to base 3
-2022111100
-11978 (base 12) to base 11
-16a14
Convert -2036 (base 12) to base 5.
-102443
What is -7714 (base 13) in base 7?
-66223
What is 127 (base 14) in base 2?
11100111
What is -6176 (base 12) in base 15?
-321c
What is -1166 (base 7) in base 13?
-27b
Convert -4054 (base 7) to base 6.
-10311
1112012 (base 4) to base 13
|
{
"pile_set_name": "DM Mathematics"
}
|
3)
Simplify f**6/(f**(-4/7)*f) assuming f is positive.
f**(39/7)
Simplify ((((r/(r*r**25/r))/r)/r)/r)/r**(2/29) assuming r is positive.
r**(-785/29)
Simplify ((((s*s**(1/2))/s)/s*s)/s**(-9))**(-3/10) assuming s is positive.
s**(-57/20)
Simplify (d**(-15))**(-2/9) assuming d is positive.
d**(10/3)
Simplify (c**(-2)/c**(-2/17))/(c*c*(c/((c*c*c**(4/3)*c)/c))/c*c**(-3/7)*c) assuming c is positive.
c**(-400/357)
Simplify (a**1)**18*a**(2/3)/a**(-2) assuming a is positive.
a**(62/3)
Simplify ((j*j**(-1/4)/j)/j**(3/19))**41 assuming j is positive.
j**(-1271/76)
Simplify (k**(2/15)*k*k)**(-1) assuming k is positive.
k**(-32/15)
Simplify ((x*x**(1/3)/x)/x)**22/(x**(-1/3)*x)**26 assuming x is positive.
x**(-32)
Simplify (t**4/((t**(-2/3)/t)/t))**(-1/19) assuming t is positive.
t**(-20/57)
Simplify (h*h**(1/5))/h*((h**(-2/23)/h)/h*h)/h*(h**(-2/9)*h*h)/h*h**(-2/17) assuming h is positive.
h**(-21586/17595)
Simplify i**13*(i*i**23/i)/i assuming i is positive.
i**35
Simplify ((q**(-3))**(1/26))**(2/91) assuming q is positive.
q**(-3/1183)
Simplify (h/(h*h**(4/3)*h)*h*h*h)/h*h**(-13) assuming h is positive.
h**(-40/3)
Simplify (b*b*b**(1/8)*b**(-6))/((b/(b*b*b*b**(1/4)))/(b*b**(-5/2))) assuming b is positive.
b**(-25/8)
Simplify (t*t/((t/((t/(t*t*t**(2/15)*t*t))/t))/t))/t**(-34) assuming t is positive.
t**(478/15)
Simplify (a**(-10)/a)/((a**(9/4)*a)/a)*a*a*a/(a*a/((a*a**(-6)/a)/a)*a)*a**(1/2) assuming a is positive.
a**(-79/4)
Simplify ((f**4/f)/f*f*f/f**(-8))**(15/7) assuming f is positive.
f**(180/7)
Simplify (i*i**5/i*i)/i**4*i/((i*i**7)/i)*i*i*i/i**(-1/2)*i assuming i is positive.
sqrt(i)
Simplify t**(-10/11)/(t**33/t) assuming t is positive.
t**(-362/11)
Simplify (d**(-1/3)*d)**(-2/5) assuming d is positive.
d**(-4/15)
Simplify (q**9/(q/(q**(-8)/q)))**46 assuming q is positive.
q**(-46)
Simplify (a**(-1)*a**(-4)*a)/(a**0*a)**46 assuming a is positive.
a**(-50)
Simplify (o**(-11/2))**(-3/7) assuming o is positive.
o**(33/14)
Simplify (x/((x**(-6)/x)/x*x)*x*x)**(-46) assuming x is positive.
x**(-460)
Simplify ((w*w**18)/w)/((w/(w**(1/9)*w*w))/w) assuming w is positive.
w**(181/9)
Simplify (p*p*p**(2/5))**(-3/14)*(p**0/p)**20 assuming p is positive.
p**(-718/35)
Simplify i**(-6/13)*i**(2/13) assuming i is positive.
i**(-4/13)
Simplify o**(-16)/(o**(-1)/o) assuming o is positive.
o**(-14)
Simplify (q**12/q)/q*q/(q*q/(q**(-2/21)*q)) assuming q is positive.
q**(208/21)
Simplify ((c*c**(-1/2))**(3/5))**1 assuming c is positive.
c**(3/10)
Simplify t/t**(2/7)*t*t*((t*t**(-13))/t)/t assuming t is positive.
t**(-79/7)
Simplify (x/x**(2/3)*x)**(-2/33)/((x**5*x)/x**6) assuming x is positive.
x**(-8/99)
Simplify (l**9/(l**(-17)/l))**(-20) assuming l is positive.
l**(-540)
Simplify ((k**(-10)*k)/k**(2/7))**(-7/5) assuming k is positive.
k**13
Simplify (b*b**(-1/4)*b)**30/(b**(-6)*b*b**(-8)*b) assuming b is positive.
b**(129/2)
Simplify o**(-1/14)*o**(-9) assuming o is positive.
o**(-127/14)
Simplify b**(-43)/b**23 assuming b is positive.
b**(-66)
Simplify v**(-2/17)/(v/((v*v**5*v)/v)) assuming v is positive.
v**(83/17)
Simplify b**1/(b*b**(-14)) assuming b is positive.
b**14
Simplify ((l*(l*l/l**18)/l*l*l*l)/l)/l*l**(15/4)/l assuming l is positive.
l**(-49/4)
Simplify (c*c/c**(15/7))/(c*c**(-19)) assuming c is positive.
c**(125/7)
Simplify ((f**9*f*f)/(f/(f/f**(6/7))*f))**(4/11) assuming f is positive.
f**(256/77)
Simplify (j/((j/(j/(j*(j*j*j*j/j**(9/7)*j)/j)*j))/j))/(j/(j/j**12*j)) assuming j is positive.
j**(-82/7)
Simplify (l**(2/19))**(-19/4) assuming l is positive.
1/sqrt(l)
Simplify (t/(t*t*t**1*t))**(-7)/(t**(-2/5)/t**(-1)) assuming t is positive.
t**(102/5)
Simplify (p**(-2)/p*p)**(-2/13) assuming p is positive.
p**(4/13)
Simplify ((k/(k**(1/6)*k*k)*k)/k)**(2/39) assuming k is positive.
k**(-7/117)
Simplify (p*(p*p**(-38))/p)**(2/15) assuming p is positive.
p**(-74/15)
Simplify (g*g/(g/((g*g*g/g**12*g*g*g)/g)))**(-47) assuming g is positive.
g**282
Simplify o**(-2)/((o**(-8)/o)/o)*o/o**4*o**(6/11) assuming o is positive.
o**(61/11)
Simplify r**(-16)*r/(r*r**(-15)/r) assuming r is positive.
1
Simplify l/l**(-21)*l**(-3/10) assuming l is positive.
l**(217/10)
Simplify (k**(-2/5))**(-34)*(k/k**2)/((k*k**(-3/5))/k*k) assuming k is positive.
k**(61/5)
Simplify c*c**(-4/9)/c*c*c**(3/5)*c**(-2)*(c*c/c**5)/c assuming c is positive.
c**(-218/45)
Simplify (u**6*u**(2/11))/(u**(-1/5))**(-5/2) assuming u is positive.
u**(125/22)
Simplify (h*h**(9/4))**(-15/4) assuming h is positive.
h**(-195/16)
Simplify j**(4/19)*j*j**(-31) assuming j is positive.
j**(-566/19)
Simplify (o*o*o**2*o)**(2/57)*(o/(o/(o**(2/5)*o)*o))/(o**(3/10)*o) assuming o is positive.
o**(-413/570)
Simplify l**(-3/5)/(l*l/(l*l*l*l/(l**(2/13)*
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*v + 2*v + k = 0 for v.
2
Let p = 25 + -23. Solve -2*z + 4 = p for z.
1
Suppose -5*h + 19 + 1 = 0. Solve -3*j + 7*j - h = 0 for j.
1
Let j(m) = -4*m + 5. Let k be j(2). Let y be (k + 0)*(-4 + 3). Solve -y*s = 3 + 6 for s.
-3
Let c be (-15 - 3) + 3 + -1. Let l be (-6)/21 + c/(-7). Solve -a - l*a = -15 for a.
5
Suppose 0 = -4*u + 3*u + 1. Let h be (2/u)/(4/6). Solve m + 8 = -h*m for m.
-2
Let w(c) = -2*c**3 + 12*c**2 + 3*c - 14. Let q be w(6). Solve 3*o - 3 = q*o for o.
-3
Suppose 5*n - 24 = n. Solve n = -5*r + 1 for r.
-1
Let g(r) = r**2 - 7*r - 5. Let l(c) = 3*c - 7. Let b be l(5). Let y be g(b). Solve 0 = 2*h - y*h + 3 for h.
3
Let k(j) be the first derivative of -j**3/3 - 5*j**2/2 + 4*j - 2. Let a be k(-7). Let l be (8/a)/((-2)/20). Solve -l = 4*m + 8 for m.
-4
Suppose l = z + 2, -5*l = -3*z - 0*l - 10. Let r be 2 - (-4)/8*z. Solve u = -1 - r for u.
-3
Let r be 13 + -3 + 1/1. Let s = 26 - r. Solve 2*u - s = -u for u.
5
Let u = -14 + 16. Suppose -3*x = u*x. Solve 3*s + 0*s + 9 = x for s.
-3
Let t(y) = y + 16. Let c be t(-10). Solve -j - 15 = -c*j for j.
3
Suppose -5*c + k + 10 = -20, 10 = -2*c - 4*k. Solve -1 = -c*o - 11 for o.
-2
Let j be (-2)/(-6) + 6/9. Suppose 0 = 3*i - 8 - j. Let u = 3 + i. Solve n - u = -n for n.
3
Let h be (-74)/(-14) - (-6)/(-21). Solve 0*c + 20 = -h*c for c.
-4
Let n(f) be the third derivative of f**4/24 + 2*f**3 - 2*f**2. Let w be n(0). Solve -3*m - m = -w for m.
3
Let u(n) be the third derivative of -n**6/120 + n**5/15 - n**4/24 + 2*n**3/3 - 2*n**2. Suppose -4*z = 1 - 17. Let x be u(z). Solve 3*r - 2*r + 4 = x for r.
-4
Let p = -6 - -10. Suppose -3*r = -l - 1, -5*r + 1 = -5*l - p. Solve r = -5*i + 4 + 1 for i.
1
Let h(g) = g - 4. Let x be h(7). Solve 6 = 3*l - x for l.
3
Suppose -9 = -d - 2*d. Suppose 0 = 3*y - 4*m - 20 - 1, d*y - 6 = -m. Let a = 46 + -45. Solve -y*f = a + 2 for f.
-1
Let g = 60 - 45. Solve 2*k - g = -k for k.
5
Suppose -v + 10 = 4*v. Suppose 2*p + 5*c - 11 = 0, 0 = v*p - 5*c + 8 + 11. Let x be 111/21 + p/7. Solve -1 + 6 = -x*t for t.
-1
Let w(f) = -f**3 + 6*f + 6. Let z be w(-2). Solve -r = -z*r + 3 for r.
3
Let x be 6*(3 - 15/9). Let d(j) = j**2 - 5*j + 4. Let v be d(4). Solve r + 3*r + x = v for r.
-2
Let h(n) = 8 + n**2 - 14*n + 6*n - 1. Let c be h(6). Let k = -1 - c. Solve a - k = 2*a for a.
-4
Let d(i) = -i. Let r be d(15). Let t be r/25 + 256/10. Solve 4*k + k + t = 0 for k.
-5
Suppose 5*m - m = 24. Suppose -5*v = -19 - m. Solve -2*a - 3*a - v = 0 for a.
-1
Let o be (-5)/(-2) - 1/2. Let j(v) = -v**3 + 15*v**2 + 17*v - 1. Let k be j(16). Solve o*n = -n - k for n.
-5
Let f be (-1)/(-2)*(1 - 1). Suppose 3*i - 10 + 4 = 0. Suppose f = v - i*v. Solve v = -g - g - 4 for g.
-2
Suppose q = -2 + 22. Solve 4*j = -j - q for j.
-4
Let d(p) = -p**2 + 12*p + 10. Let o be d(13). Let b = 3 + o. Solve -j - 1 - 3 = b for j.
-4
Let n(g) = -g**3 - 2*g**2 - g - 2. Let w be n(-3). Let r = w - 2. Let b = r - 6. Solve -x - b = x for x.
-1
Suppose v + 2 - 6 = 0. Solve -v = -3*h - h for h.
1
Suppose 11 = -w + 32. Let y = w - 19. Solve 0 = -b + y*b - 4 for b.
4
Let k = -1 - -4. Suppose -k*c - c + 148 = -4*j, 3 = -3*j. Solve 5*l + 11 = c for l.
5
Suppose -u = u - 8. Suppose -2*x = -4*h + u, 3*h + 0 = -3*x + 3. Solve -2*m + x = 4 for m.
-2
Let n be -2 + (-21)/(-12)*4. Solve n + 0 = v for v.
5
Let a(y) = -37*y**3 - 2*y**2 + y. Let v be a(1). Let q = -26 - v. Suppose -2*f - 2*o = 4, f = -3*o - q + 2. Solve 0 = 4*d - 14 - f for d.
4
Suppose h = 4*w + 7, 0*h + 4*h + 2*w + 8 = 0. Let x = h + 6. Solve x*q = -0*q + 15 for q.
3
Suppose -5*w = 4*l + 1, 4*l + 35 = 5*w + 4. Solve w*z = -10 + 4 for z.
-2
Let v be (3 + -1)*(-1)/(-2). Solve 9 - v = 4*o for o.
2
Let y(j) = -j - 9. Let w be y(-9). Solve 2*z - 4*z - 8 = w for z.
-4
Let i(s) = -2*s - 12. Let z be i(-7). Solve d + z*d = -3 for d.
-1
Let a = -31 + 43. Suppose a = 2*h - 0*h. Suppose 0 = 4*w - 89 + 9. Solve w = 2*i - h*i for i.
-5
Suppose 7*p - 6*p = 3, -2*n = -p - 7. Solve -5*j + n = -20 for j.
5
Let k be (-6)/(-2) + -7 - -6. Solve x + 2 = -k for x.
-4
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(7) + -1 + sqrt(7) - sqrt(7)) + sqrt(7))*1 - 4*-3*sqrt(7))**2.
-28*sqrt(7) + 1373
Simplify -1*(-3*sqrt(108)*-6)**2.
-34992
Simplify (sqrt(2) + sqrt(98)*-1 + sqrt(2) + (sqrt(12)/sqrt(3))/sqrt(2))**2 + 1.
33
Simplify 5 + -1*(sqrt(5) + sqrt(125)) + 5*sqrt(15)/sqrt(3).
-sqrt(5) + 5
Simplify (sqrt(128)*2 + -1)**2.
-32*sqrt(2) + 513
Simplify ((1 + sqrt(637))*-4 - (sqrt(637) - 5*(0 + sqrt(637))))**2.
16
Simplify (6*sqrt(133)*2)/(sqrt(77)/sqrt(99)).
36*sqrt(19)
Simplify 0 + sqrt(50) - (-5*sqrt(12))/sqrt(6).
10*sqrt(2)
Simplify (6*(-1*sqrt(1800))/sqrt(10))**2.
6480
Simplify -3*((sqrt(2) + sqrt(8) - sqrt(2)) + 1 + -4).
-6*sqrt(2) + 9
Simplify (3 + -3*(0 + sqrt(66)/sqrt(6)))**2.
-18*sqrt(11) + 108
Simplify sqrt(150)/sqrt(2) - (-3*(sqrt(3) + 0) + sqrt(3))**2.
-12 + 5*sqrt(3)
Simplify sqrt(187)/(2*(sqrt(11) - sqrt(44))).
-sqrt(17)/2
Simplify 1 + (sqrt(3900)/sqrt(3)*-1)**2.
1301
Simplify 3*sqrt(200)*4.
120*sqrt(2)
Simplify -5 + -2*-2*sqrt(13).
-5 + 4*sqrt(13)
Simplify 2*sqrt(19) + sqrt(19) + 2 + sqrt(1900) + (1 + sqrt(1900))**2 + -4.
33*sqrt(19) + 1899
Simplify ((-2*sqrt(95))/sqrt(5) - (1*sqrt(152) - sqrt(152))/sqrt(8)) + -2.
-2*sqrt(19) - 2
Simplify (1*sqrt(931)*-5)**2.
23275
Simplify (sqrt(130)/(sqrt(360)*-1)*-6)**2.
13
Simplify 0 + sqrt(320) - ((sqrt(25)/(sqrt(10)/sqrt(2)))**2 - sqrt(5)).
-5 + 9*sqrt(5)
Simplify 4 + sqrt(26)/sqrt(2) - (-5 + -1*sqrt(13)).
2*sqrt(13) + 9
Simplify (sqrt(75) - (sqrt(75) - (sqrt(75) + sqrt(75)*-2*-3) - sqrt(75)))**2*6.
28800
Simplify 5 + sqrt(343) + 4.
9 + 7*sqrt(7)
Simplify 2 + sqrt(847) + -1 + -5.
-4 + 11*sqrt(7)
Simplify ((sqrt(190) - sqrt(190)*3)/sqrt(10) + (sqrt(133)*2 - sqrt(133))/sqrt(7) + sqrt(19))**2.
0
Simplify -2*(2*sqrt(7) + -5 + -4).
-4*sqrt(7) + 18
Simplify (sqrt(72) - sqrt(4)/(sqrt(2)*2))*-3.
-33*sqrt(2)/2
Simplify (-3*(sqrt(99) - (1*sqrt(99) - sqrt(99)) - sqrt(99)))/(sqrt(576) + sqrt(36)).
0
Simplify -5*1*sqrt(13) - -3*(sqrt(325))**2.
-5*sqrt(13) + 975
Simplify (-4 + sqrt(153) + sqrt(17) - 1*sqrt(2057)) + -5.
-7*sqrt(17) - 9
Simplify (4*sqrt(216))/sqrt(12).
12*sqrt(2)
Simplify ((0 + sqrt(300))*-2 + 3 + 0 + sqrt(300))**2.
-60*sqrt(3) + 309
Simplify 5*((sqrt(12) - sqrt(3))*4 + sqrt(3) + 4)**2.
200*sqrt(3) + 455
Simplify (sqrt(735)*-2)/(sqrt(24)/sqrt(2)).
-7*sqrt(5)
Simplify (sqrt(18) + sqrt(18)*4*5)/sqrt(9) + 2.
2 + 21*sqrt(2)
Simplify sqrt(30)/sqrt(90) - (sqrt(3) - sqrt(9)/(sqrt(12)/sqrt(4))).
sqrt(3)/3
Simplify ((-5 + sqrt(7)*-1 - sqrt(7) - -2*sqrt(700)) + 3)**2.
-72*sqrt(7) + 2272
Simplify (5 + sqrt(12)/sqrt(4))*-3.
-15 - 3*sqrt(3)
Simplify -5*(sqrt(5) - (sqrt(125) + -2)**2).
-105*sqrt(5) + 645
Simplify 0 + (sqrt(512) - (-3 + sqrt(8)/sqrt(4))).
3 + 15*sqrt(2)
Simplify (3*(sqrt(200)/sqrt(4) - sqrt(50)) - (sqrt(1400)*2)/sqrt(7))**2.
800
Simplify (sqrt(17) - (0 + -3*sqrt(17) + sqrt(17)))**2 + (3*sqrt(85))/sqrt(5).
3*sqrt(17) + 153
Simplify (sqrt(32) + (sqrt(224) + sqrt(224)*-2)/sqrt(7))**2.
0
Simplify sqrt(78)/(sqrt(384)*-4).
-sqrt(13)/32
Simplify (sqrt(704) - 1*sqrt(704))**2 + sqrt(11) + ((sqrt(99)*1 + sqrt(99) - sqrt(99)) + sqrt(99))/sqrt(9) + 5.
5 + 3*sqrt(11)
Simplify -2 + (sqrt(700) - 1*sqrt(700) - sqrt(700)).
-10*sqrt(7) - 2
Simplify -4 + (5 + (sqrt(2) - sqrt(8)*-4) + -5)**2.
158
Simplify (4*sqrt(55)*2)/(sqrt(180)/sqrt(4)).
8*sqrt(11)/3
Simplify (sqrt(108) - ((sqrt(108) + sqrt(108)*-2 + sqrt(108) - sqrt(108)) + sqrt(108)))/(sqrt(144) + (-1*sqrt(144) - sqrt(144)) - sqrt(144))*-4.
sqrt(3)
Simplify (4*(sqrt(153) + 1*sqrt(153)))/sqrt(9)*-4.
-32*sqrt(17)
Simplify (sqrt(72)/sqrt(3))/sqrt(8) + sqrt(363) + (-1*sqrt(363))**2.
12*sqrt(3) + 363
Simplify (sqrt(95)/(sqrt(10)/sqrt(50) - sqrt(5)))**2.
475/16
Simplify ((2 + (sqrt(288) + 1 - sqrt(288) - sqrt(288)) - sqrt(288))**2 + 0)*5.
-720*sqrt(2) + 5805
Simplify (sqrt(104) - (sqrt(104)*2 + sqrt(104)))/sqrt(8) + sqrt(13) + sqrt(13) + 1 + sqrt(13) + 0.
1 + sqrt(13)
Simplify -2*sqrt(2736)*2 - sqrt(2736).
-60*sqrt(19)
Simplify 6*6*sqrt(1008)*2.
864*sqrt(7)
Simplify 4*(-2 + sqrt(108))**2 + (sqrt(108) - -3*sqrt(108)*2).
-54*sqrt(3) + 448
Simplify -4*(-3 + (0 + sqrt(192))**2 - (((sqrt(192) + -1)*-5)**2 + sqrt(192))).
-1568*sqrt(3) + 18544
Simplify (3*sqrt(171)/(-1*sqrt(36)/sqrt(4)))**2.
171
Simplify -4 + sqrt(675)/sqrt(9).
-4 + 5*sqrt(3)
Simplify (-3 + sqrt(448) + -3*(sqrt(448) + -3 + sqrt(448)))**2.
-480*sqrt(7) + 11236
Simplify sqrt(36)/(sqrt(192)*2) + (4 + sqrt(27) - (sqrt(108)*-2)**2).
-428 + 25*sqrt(3)/8
Simplify ((1*sqrt(440))/sqrt(11))/(sqrt(512) + sqrt(512)*-1 + sqrt(512)).
sqrt(5
|
{
"pile_set_name": "DM Mathematics"
}
|
2053
List the prime factors of 29481.
3, 31, 317
List the prime factors of 2656.
2, 83
List the prime factors of 372.
2, 3, 31
List the prime factors of 22916.
2, 17, 337
What are the prime factors of 21902?
2, 47, 233
What are the prime factors of 13748?
2, 7, 491
List the prime factors of 4324.
2, 23, 47
What are the prime factors of 4803?
3, 1601
What are the prime factors of 912?
2, 3, 19
List the prime factors of 32735.
5, 6547
What are the prime factors of 21171?
3, 7057
What are the prime factors of 70012?
2, 23, 761
List the prime factors of 169565.
5, 11, 3083
List the prime factors of 2884.
2, 7, 103
What are the prime factors of 8201?
59, 139
What are the prime factors of 93061?
29, 3209
What are the prime factors of 1266?
2, 3, 211
List the prime factors of 3178.
2, 7, 227
List the prime factors of 607.
607
List the prime factors of 1396.
2, 349
What are the prime factors of 115780?
2, 5, 7, 827
What are the prime factors of 93092?
2, 17, 37
What are the prime factors of 26021?
26021
List the prime factors of 3619.
7, 11, 47
List the prime factors of 284.
2, 71
List the prime factors of 4613.
7, 659
List the prime factors of 32255.
5, 6451
List the prime factors of 70599.
3, 101, 233
List the prime factors of 2450.
2, 5, 7
List the prime factors of 24174.
2, 3, 17, 79
What are the prime factors of 24714?
2, 3, 1373
List the prime factors of 1005.
3, 5, 67
List the prime factors of 39524.
2, 41, 241
List the prime factors of 3781.
19, 199
What are the prime factors of 1638?
2, 3, 7, 13
List the prime factors of 12476.
2, 3119
List the prime factors of 155427.
3, 103, 503
List the prime factors of 637.
7, 13
What are the prime factors of 4933?
4933
List the prime factors of 17751.
3, 61, 97
List the prime factors of 7428.
2, 3, 619
What are the prime factors of 775?
5, 31
What are the prime factors of 38640?
2, 3, 5, 7, 23
What are the prime factors of 1619?
1619
List the prime factors of 14026.
2, 7013
List the prime factors of 167568.
2, 3, 3491
List the prime factors of 70.
2, 5, 7
List the prime factors of 7555.
5, 1511
List the prime factors of 242.
2, 11
List the prime factors of 47412.
2, 3, 439
What are the prime factors of 52692?
2, 3, 4391
List the prime factors of 35342.
2, 41, 431
What are the prime factors of 66990?
2, 3, 5, 7, 11, 29
List the prime factors of 11601.
3, 1289
What are the prime factors of 1044?
2, 3, 29
What are the prime factors of 978?
2, 3, 163
What are the prime factors of 66164?
2, 7, 17, 139
What are the prime factors of 8532?
2, 3, 79
List the prime factors of 5259.
3, 1753
What are the prime factors of 89?
89
What are the prime factors of 10144?
2, 317
What are the prime factors of 3297?
3, 7, 157
List the prime factors of 42461.
42461
List the prime factors of 395.
5, 79
List the prime factors of 101.
101
List the prime factors of 4891.
67, 73
What are the prime factors of 23991?
3, 11, 727
List the prime factors of 9562.
2, 7, 683
What are the prime factors of 1954?
2, 977
List the prime factors of 657.
3, 73
What are the prime factors of 3945?
3, 5, 263
What are the prime factors of 8709?
3, 2903
List the prime factors of 82936.
2, 7, 1481
List the prime factors of 3214.
2, 1607
List the prime factors of 2352.
2, 3, 7
List the prime factors of 59023.
59023
What are the prime factors of 3526?
2, 41, 43
What are the prime factors of 5762?
2, 43, 67
List the prime factors of 1226.
2, 613
List the prime factors of 21699.
3, 2411
List the prime factors of 1732.
2, 433
List the prime factors of 29204.
2, 7, 149
What are the prime factors of 54303?
3, 23, 787
What are the prime factors of 793?
13, 61
List the prime factors of 78738.
2, 3, 11, 1193
List the prime factors of 58100.
2, 5, 7, 83
List the prime factors of 136156.
2, 34039
What are the prime factors of 322?
2, 7, 23
List the prime factors of 269.
269
List the prime factors of 1147.
31, 37
List the prime factors of 95.
5, 19
List the prime factors of 1927.
41, 47
What are the prime factors of 4931?
4931
List the prime factors of 41291.
157, 263
List the prime factors of 1723.
1723
List the prime factors of 1020.
2, 3, 5, 17
List the prime factors of 120865.
5, 23, 1051
List the prime factors of 159877.
29, 37, 149
What are the prime factors of 477?
3, 53
List the prime factors of 6422.
2, 13, 19
What are the prime factors of 222?
2, 3, 37
What are the prime factors of 4007?
4007
List the prime factors of 7941.
3, 2647
What are the prime factors of 3464?
2, 433
What are the prime factors of 161303?
161303
List the prime factors of 8534.
2, 17, 251
List the prime factors of 4310.
2, 5, 431
List the prime factors of 100755.
3, 5, 2239
List the prime factors of 24341.
101, 241
List the prime factors of 37811.
37811
List the prime factors of 19185.
3, 5, 1279
What are the prime factors of 108?
2, 3
List the prime factors of 93101.
157, 593
List the prime factors of 71255.
5, 14251
List the prime factors of 1513.
17, 89
List the prime factors of 9275.
5, 7, 53
What are the prime factors of 14866?
2, 7433
List the prime factors of 53961.
3, 17987
What are the prime factors of 3285?
3, 5, 73
What are the prime factors of 42464?
2, 1327
What are the prime factors of 47562?
2, 3, 7927
What are the prime factors of 2493?
3, 277
List the prime factors of 584.
2, 73
List the prime factors of 43064.
2, 7, 769
What are the prime factors of 527?
17, 31
What are the prime factors of 34179?
3, 11393
What are the prime factors of 13861?
83, 167
What are the prime factors of 57755?
5, 11551
List the prime factors of 2075.
5, 83
What are the prime factors of 1878?
2, 3, 313
What are the prime factors of 44?
2, 11
List the prime factors of 41245.
5, 73, 113
List the prime factors of 628.
2, 157
List the prime factors of 31120.
2, 5, 389
List the prime factors of 106507.
73, 1459
What are the prime factors of 2157?
3, 719
What are the prime factors of 1268?
2, 317
What are the prime factors of 899?
29, 31
List the prime factors of 31910.
2, 5, 3191
What are the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
number?
False
Is 1962637 prime?
True
Is 22233 prime?
False
Is 5201 prime?
False
Is 6218 a composite number?
True
Is 2173 prime?
False
Is 28007 prime?
False
Is 1637 a prime number?
True
Is 45233 a composite number?
False
Is 3207 a composite number?
True
Is 809993 a prime number?
True
Is 831 composite?
True
Is 37949 composite?
True
Is 116673 composite?
True
Is 16087 prime?
True
Is 194309 a prime number?
True
Is 176411 a prime number?
False
Is 16217 a prime number?
True
Is 278591 composite?
False
Is 38891 a composite number?
False
Is 11351 composite?
False
Is 36169 composite?
True
Is 32459 composite?
True
Is 41879 a prime number?
True
Is 1495597 a prime number?
True
Is 213703 prime?
False
Is 9853 prime?
False
Is 7121 a composite number?
False
Is 3491 a composite number?
False
Is 371 a composite number?
True
Is 15611 composite?
True
Is 18839 a prime number?
True
Is 2231 composite?
True
Is 2981 composite?
True
Is 22241 prime?
False
Is 300779 prime?
True
Is 1048829 composite?
False
Is 10369 prime?
True
Is 2996783 a composite number?
False
Is 182017 composite?
True
Is 1907 a prime number?
True
Is 46993 composite?
False
Is 813 composite?
True
Is 191 a prime number?
True
Is 4903 a prime number?
True
Is 8219 prime?
True
Is 48731 composite?
False
Is 14197 a composite number?
False
Is 1268005 composite?
True
Is 75913 composite?
False
Is 637409 a composite number?
False
Is 587 a composite number?
False
Is 16871 a composite number?
False
Is 74831 a composite number?
False
Is 998821 composite?
True
Is 11351 a prime number?
True
Is 36415 a prime number?
False
Is 62119 a composite number?
False
Is 298063 prime?
True
Is 3821 a prime number?
True
Is 57457 a prime number?
True
Is 1481 composite?
False
Is 2909849 a prime number?
True
Is 39971 prime?
True
Is 128813 a composite number?
False
Is 220817 prime?
False
Is 17933 a prime number?
False
Is 12197 composite?
False
Is 1340203 composite?
True
Is 19021 a composite number?
True
Is 1304111 composite?
False
Is 138921 a prime number?
False
Is 137759 a composite number?
True
Is 6865 prime?
False
Is 10831 prime?
True
Is 1561 prime?
False
Is 958 composite?
True
Is 8962 composite?
True
Is 1777 prime?
True
Is 37547 prime?
True
Is 1975399 prime?
True
Is 54685 a composite number?
True
Is 227453 composite?
False
Is 115439 a composite number?
True
Is 499853 a composite number?
False
Is 817 a composite number?
True
Is 994861 composite?
True
Is 17399 a prime number?
False
Is 57329 a composite number?
False
Is 1801 a composite number?
False
Is 1622469 a composite number?
True
Is 697637 a composite number?
False
Is 57299 a prime number?
False
Is 8977 a prime number?
False
Is 260531 a prime number?
False
Is 806074 a composite number?
True
Is 1573097 composite?
True
Is 46457 composite?
False
Is 248117 a composite number?
False
Is 690454 a composite number?
True
Is 5493 a composite number?
True
Is 149557 composite?
True
Is 9871 a prime number?
True
Is 309769 a composite number?
False
Is 22141 composite?
True
Is 63029 a composite number?
False
Is 1019801 composite?
False
Is 59894 a prime number?
False
Is 25249 prime?
False
Is 1200403 composite?
False
Is 26749 composite?
True
Is 835 a composite number?
True
Is 8353 prime?
True
Is 185051 a composite number?
False
Is 2419 a prime number?
False
Is 2450759 prime?
True
Is 78123 composite?
True
Is 10451 a composite number?
True
Is 22769 composite?
False
Is 1919 prime?
False
Is 49649 a prime number?
False
Is 89939 a prime number?
True
Is 189827 a prime number?
False
Is 1073 a prime number?
False
Is 25059 composite?
True
Is 116855 a prime number?
False
Is 8009 a composite number?
False
Is 153991 prime?
True
Is 30307 a composite number?
False
Is 43261 a composite number?
False
Is 109623 a prime number?
False
Is 39601 composite?
True
Is 21355 a prime number?
False
Is 7123 prime?
False
Is 22229 a composite number?
False
Is 29361 a composite number?
True
Is 697951 a composite number?
False
Is 4511 prime?
False
Is 124511 a composite number?
True
Is 36655 composite?
True
Is 159977 a prime number?
True
Is 647861 prime?
True
Is 191 prime?
True
Is 836545 a prime number?
False
Is 72989 prime?
False
Is 135635 a prime number?
False
Is 78809 a prime number?
True
Is 115873 a prime number?
True
Is 18583 composite?
False
Is 797443 prime?
False
Is 47 a composite number?
False
Is 57329 a composite number?
False
Is 981079 prime?
False
Is 1207 a composite number?
True
Is 10895 prime?
False
Is 6193 composite?
True
Is 16871 prime?
True
Is 2333 composite?
False
Is 14969 composite?
False
Is 22739 a prime number?
True
Is 408833 a prime number?
False
Is 5623 composite?
False
Is 316867 prime?
False
Is 14255 composite?
True
Is 3735535 a prime number?
False
Is 673 a prime number?
True
Is 5519 composite?
False
Is 73301 composite?
True
Is 1239149 a composite number?
True
Is 142391 a prime number?
True
Is 745 prime?
False
Is 133737 a composite number?
True
Is 36581 prime?
False
Is 40297 a composite number?
True
Is 522363 prime?
False
Is 257929 a prime number?
False
Is 198554 composite?
True
Is 20593 a composite number?
False
Is 3630019 a composite number?
False
Is 319379 a prime number?
False
Is 201389 prime?
True
Is 13453 a composite number?
True
Is 230059 composite?
False
Is 189583 a composite number?
False
Is 1006801 a prime number?
False
Is 1949 a composite number?
False
Is 24239 a prime number?
True
Is 8567 a composite number?
True
Is 7318 a prime number?
False
Is 1584889 prime?
True
Is 337397 a composite number?
False
Is 373 a composite number?
False
Is 14099 composite?
True
Is 620891 a composite number?
True
Is 71405 prime?
False
Is 67911 composite?
True
Is 2694787 composite?
False
Is 14197 a composite number?
False
Is 1170743 a prime number?
False
Is 26603 a prime number?
False
Is 259907 prime?
True
Is 78467 composite?
False
Is 37589 prime?
True
Is 760547 prime?
False
Is 586 composite?
True
Is 1389 prime?
False
Is 87727 a prime number?
False
Is 12197 a composite number?
False
Is 320303 a composite number?
False
Is 580711 prime?
True
Is 114339 composite?
True
Is 19177 composite?
True
Is 52769 a prime number?
True
Is 24233 composite?
True
Is 21701 a composite number?
False
Is 62569 a prime number?
False
Is 651323 prime?
True
Is 28513 prime?
True
Is 3373269 a prime number?
False
Is 384437 a prime number?
True
Is 31531 prime?
True
Is 220351
|
{
"pile_set_name": "DM Mathematics"
}
|
5. Let t = -14 - h. Let q = -29/2 + 15. What is the nearest to q in 3/5, 3, t?
3/5
Let d = 59 + -58.98. Let l(v) = v**2 + 11*v + 9. Let m be l(-11). Suppose -7*i - 5 = m. What is the nearest to i in -2/7, -1/2, d?
-1/2
Let r be (-1)/14*(-3 - -7). Let v = -2.33 + 2.43. What is the nearest to r in v, -1, 25?
v
Let m = -705 - -706. Let l = 0.25 - 0.2. Which is the nearest to 1? (a) m (b) l (c) -0.1
a
Let v = 80.956 + 0.044. Let c = 84 - v. What is the nearest to -3 in 1/9, c, -2?
-2
Let f = 12698/11 - 1152. Let v = -301/132 + f. Which is the nearest to 0.1? (a) -5 (b) -2/7 (c) v
c
Let z = -1.9661 + -0.0339. Which is the closest to 0.3? (a) 27 (b) -1 (c) -0.4 (d) z
c
Let z = -2.24 - 0.76. Let f = -9 - -13. What is the nearest to f in 2/5, z, 0.5?
0.5
Let z be (3/18)/(23/4). Let g = -25/69 + z. Let x be 18/(-63) - 19/7. Which is the nearest to -1? (a) x (b) g (c) 0
b
Let y be 23 - 24 - 1*4/2. What is the nearest to 6 in y, -4, -0.2?
-0.2
Let w = -13.95 + 15.95. Which is the nearest to -43? (a) 4/7 (b) 0.1 (c) w
b
Let i(r) = -r**3 - 3*r**2 + 2*r + 3. Let q be i(-2). Let n = -18 - 2. Let d = -21 - n. Which is the closest to d? (a) 5 (b) q (c) -1
c
Let s = -927 - -5561/6. Which is the nearest to -1? (a) 2 (b) 6 (c) 1 (d) s
d
Let o be (((-3)/(-2))/((-261)/116))/((-10)/6). Let g be -1 - 1/(6/(-2)). What is the closest to -0.1 in o, g, 5?
o
Let f = 3 - 3.05. Let t = f + 0.11. Let x = t + -0.06. What is the nearest to -1 in x, 2, 1?
x
Suppose 2*a + 6 = -4. Let k = 48 - 45. Let v = 0.244 + -0.144. What is the nearest to 2 in v, a, k?
k
Let z be (-98)/4312 - (-2)/(-8). Which is the nearest to -1? (a) -1 (b) -2/25 (c) z
a
Let l = -44 - -13. Let y = 30.8762 - -0.1238. Let g = y + l. What is the closest to -0.3 in g, 0.5, 4?
g
Let h = -9/77 - 358/231. What is the nearest to 0.1 in -0.5, h, 1/2?
1/2
Let f = -2 + 2. Let b = 0.397 - -0.003. Let k = f + b. What is the closest to -0.08 in -3, 4, k?
k
Let z = 0.47 + -22.47. Let h = 18 + z. Which is the nearest to -2? (a) 1 (b) -0.5 (c) h
b
Let u = 151/38 - 66/19. What is the nearest to u in 2, -1/7, -0.3?
-1/7
Let p(k) = k - 7. Let v be p(4). Let m = 3651.6 - 3652. What is the closest to -1/4 in -2/7, m, v?
-2/7
Let d(p) = -8*p**3 - 1. Let z be d(2). Let v = -40 - z. Suppose 0 = -5*w - 0*w - v. What is the nearest to 0.1 in -2, w, -4?
-2
Suppose 0 = 146*i - 147*i - 2. Which is the closest to 2? (a) -0.1 (b) -5/3 (c) 4 (d) i
c
Let l be ((-1)/(-4))/((-10)/8). Suppose -919 = -11*a - 930. What is the closest to a in -2, l, -3?
l
Let h be 2/43 + (-17 - -17). Let d = -133/86 + h. Suppose -u = 2*x - 4*u - 11, u + 2 = -x. Which is the nearest to -0.1? (a) x (b) d (c) -2
a
Let o = 772 + -772.5. What is the closest to 1 in o, 2, -2?
2
Let k = 0.7 + -0.6. Let s be (-2)/(-15)*(-5 + -1). Which is the nearest to 1? (a) -13 (b) k (c) s
b
Let r = -47/105 - -1/21. What is the closest to 1 in r, -2/53, -3?
-2/53
Let n = -55.1 + 59. Let s = n - -7. Let z = -11 + s. What is the closest to z in 2/5, 1/6, -0.2?
-0.2
Let u be 1 + (-33)/9 + 2. Let b = 0.222 - -0.278. What is the nearest to -2 in u, b, 3?
u
Let n = 344 - 350.09. Let k = -0.09 - n. Let v = -10 + k. Which is the closest to v? (a) 0.3 (b) -5/2 (c) 0.5
b
Let d = -4 - -9. Let y = 221 - 1991/9. Let l be (32/(-28))/(2/(-4) + 33/154). Which is the closest to y? (a) d (b) l (c) 1/2
c
Let q be 60/24*(-1 - -3). Let r be ((-18)/(-189))/((-3)/(-7)). Which is the closest to -0.1? (a) q (b) -1/2 (c) r
c
Let o = -678 + 680. Which is the closest to -14? (a) o (b) -5/2 (c) -1
b
Let s = 138 - 967/7. Which is the closest to -1/4? (a) -1.3 (b) s (c) 0
b
Let x = 2 - -1. Let z be 1/6 + (-4 - (-1016)/240). What is the nearest to -2/11 in z, x, -4?
z
Let x be (45/(-20))/(3/((-12)/35)). Let c = x + 12/35. What is the closest to 2/7 in c, 5, 4?
c
Let v be -1 + -1 - 60/(-21). Let x = v + -17/28. Let d = 11 + -10.8. Which is the nearest to -0.1? (a) d (b) 4 (c) x
a
Let w = 339 + -1694/5. Which is the closest to w? (a) -3 (b) 3 (c) 2
c
Suppose 0 = -z + 6*z - t - 1, 2*z + 1 = -t. Let g = 0.0417 + 0.4583. Which is the nearest to 1/2? (a) 5 (b) z (c) g
c
Let x = -36.8 + 40. Let y = x + -3.3
|
{
"pile_set_name": "DM Mathematics"
}
|
7706, -129436943, -161796182?
-w**2 - 32359230*w - 7
What is the h'th term of -15017, -69342, -159885, -286646?
-18109*h**2 + 2*h + 3090
What is the n'th term of 60240, 56593, 52946, 49299?
-3647*n + 63887
What is the g'th term of -66700, -266947, -600738, -1068073, -1668952?
-66772*g**2 + 69*g + 3
What is the f'th term of 68183668, 68183672, 68183680, 68183692?
2*f**2 - 2*f + 68183668
What is the c'th term of 6925564, 6925557, 6925550, 6925543, 6925536, 6925529?
-7*c + 6925571
What is the n'th term of 6334, 6245, 6090, 5863, 5558?
-n**3 - 27*n**2 - n + 6363
What is the l'th term of -48727, -97481, -146235?
-48754*l + 27
What is the m'th term of -244, -165, 556, 2237, 5196, 9751?
53*m**3 + 3*m**2 - 301*m + 1
What is the h'th term of 168177, 336186, 504195, 672204?
168009*h + 168
What is the d'th term of 883528, 1767056, 2650568, 3534058, 4417520, 5300948, 6184336, 7067678?
-d**3 - 2*d**2 + 883541*d - 10
What is the f'th term of -2854, -21860, -73448, -173908, -339530, -586604, -931420?
-2715*f**3 - f**2 + 2*f - 140
What is the a'th term of 4861, 9862, 14979, 20218, 25585, 31086, 36727, 42514?
a**3 + 52*a**2 + 4838*a - 30
What is the a'th term of 783675, 3134634, 7052899, 12538470, 19591347?
783653*a**2 + 22
What is the u'th term of 180499, 179953, 179051, 177799, 176203, 174269, 172003?
u**3 - 184*u**2 - u + 180683
What is the a'th term of -114437, -228568, -342395, -455918, -569137, -682052?
152*a**2 - 114587*a - 2
What is the k'th term of -261625, -523269, -784925, -1046593, -1308273?
-6*k**2 - 261626*k + 7
What is the m'th term of -17531, -16065, -14599, -13133, -11667, -10201?
1466*m - 18997
What is the m'th term of -128215, -128598, -128981, -129364?
-383*m - 127832
What is the o'th term of -1909460, -1909467, -1909474, -1909481, -1909488?
-7*o - 1909453
What is the d'th term of -104452, -104956, -105462, -105970, -106480?
-d**2 - 501*d - 103950
What is the u'th term of 8240, 16492, 24744?
8252*u - 12
What is the y'th term of -86189, -86086, -85885, -85538, -84997, -84214, -83141, -81730?
8*y**3 + y**2 + 44*y - 86242
What is the t'th term of 390473, 1565073, 3522747, 6263501, 9787341, 14094273, 19184303, 25057437?
t**3 + 391531*t**2 - 1059
What is the a'th term of 26240729, 26240732, 26240735, 26240738, 26240741?
3*a + 26240726
What is the y'th term of 334344, 668676, 1003008, 1337340?
334332*y + 12
What is the o'th term of -478731, -957431, -1436131?
-478700*o - 31
What is the p'th term of -1533386, -6133368, -13800002, -24533288, -38333226, -55199816?
-1533326*p**2 - 4*p - 56
What is the k'th term of 278598, 557242, 835886, 1114530, 1393174?
278644*k - 46
What is the u'th term of 2666, 7084, 11516, 15968, 20446, 24956, 29504?
u**3 + u**2 + 4408*u - 1744
What is the f'th term of -653845, -653888, -653931?
-43*f - 653802
What is the k'th term of -9059860, -18119721, -27179582, -36239443, -45299304?
-9059861*k + 1
What is the b'th term of -244721, -244730, -244735, -244736, -244733, -244726?
2*b**2 - 15*b - 244708
What is the t'th term of 338, -538, -1412, -2278, -3130?
t**3 - 5*t**2 - 868*t + 1210
What is the p'th term of 55903028, 55903016, 55902998, 55902974, 55902944, 55902908?
-3*p**2 - 3*p + 55903034
What is the t'th term of -71871634, -71871633, -71871632, -71871631, -71871630, -71871629?
t - 71871635
What is the o'th term of 84248, 168618, 252988, 337358, 421728, 506098?
84370*o - 122
What is the g'th term of -191636758, -191636759, -191636760, -191636761, -191636762, -191636763?
-g - 191636757
What is the l'th term of -130, -70, 340, 1268, 2882, 5350, 8840?
28*l**3 + 7*l**2 - 157*l - 8
What is the l'th term of 40919916, 40919922, 40919932, 40919946, 40919964, 40919986?
2*l**2 + 40919914
What is the g'th term of -1015, -2540, -5095, -8680, -13295, -18940, -25615?
-515*g**2 + 20*g - 520
What is the c'th term of -54443, -54382, -54323, -54266, -54211, -54158?
-c**2 + 64*c - 54506
What is the u'th term of -1109, -2033, -2589, -2591, -1853?
31*u**3 - 2*u**2 - 1135*u - 3
What is the p'th term of -103, -1973, -7373, -18067, -35819, -62393, -99553?
-294*p**3 - p**2 + 191*p + 1
What is the i'th term of 6575, 13094, 19613?
6519*i + 56
What is the k'th term of -29546, -26259, -22970, -19679?
k**2 + 3284*k - 32831
What is the w'th term of 2409, 2352, 2263, 2148, 2013, 1864, 1707?
w**3 - 22*w**2 + 2*w + 2428
What
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4. Let z be g(-1). Let a be 0*2/8*-2. Solve a = z*w - 3*w + 6 for w.
-3
Let d(a) = -a**2 + 6*a - 1. Suppose -y - 6 = 4*p + 8, -5*y - 2*p + 2 = 0. Suppose -y*v = 3 + 1, 4*g - 18 = -v. Let l be d(g). Solve l*w = -w + 10 for w.
2
Let v be 56/(-42)*(-6)/(-4). Let u(d) = 2*d**2 - 6. Let b be u(v). Solve -3*c - b*c - 10 = 0 for c.
-2
Suppose 3*r = -19*z + 21*z + 3, -6 = -z - r. Solve z*t = -1 + 7 for t.
2
Let u = 11 + -26. Let i = 18 + u. Solve 0 = i*r + r + 8 for r.
-2
Let s = 30 - 22. Let f = s + 1. Let i(l) = -l**3 + 10*l**2 - 8*l - 9. Let v be i(f). Solve -2*d + 4 = -v for d.
2
Let s(l) = 5*l - 8. Suppose 0 = 5*n - 2*o - 8, n + 5*o - 4*o - 3 = 0. Let d be s(n). Solve 8 = d*g + 2*g for g.
2
Suppose 8*m = 3*m. Let u(s) = s**2 + 3*s + 3. Let i be u(m). Suppose 0 = i*j + 3, 0*t - 3*j = -3*t + 12. Solve -z = -t*z + 4 for z.
2
Suppose -5*j = -57 + 12. Suppose 9 = 10*s + j. Solve -q - 2*q = s for q.
0
Let v(d) = -3*d - 6 + 20 + 2*d + 3*d. Let a be v(-7). Solve a = -j - 3*j - 16 for j.
-4
Let p(s) = -8*s + 29. Let o be p(6). Let l = o + 20. Solve 0 = -5*i + l + 9 for i.
2
Let u be -1 - (-3 + 4) - (-9 + -5). Solve u*s = 5*s - 21 for s.
-3
Suppose 5*r + 21 = -4*o - 4, -2*o - 2*r = 10. Solve -6 + o = 6*z for z.
-1
Suppose 0 + 21 = 3*w. Suppose w*f + 12 = 11*f. Suppose -5*s + 10*s = -f*i + 25, 2*i - 25 = -5*s. Solve -s*x - 10 = -0*x for x.
-2
Let x = 49 - 111. Let b = -59 - x. Solve 3*f - 6 + b = 0 for f.
1
Let p be 496/12 - (-6 + (-64)/(-12)). Solve 45*w - p*w + 3 = 0 for w.
-1
Let i = -4 - -5. Suppose 8 = 4*x - m - 3*m, 0 = 3*x - 2*m - 8. Suppose 0 = 4*f - 2*j - 18, f = -3*j - 9 - x. Solve g - i = -f for g.
-1
Let t = -1223 - -1238. Solve -24*c - t = -29*c for c.
3
Let x(i) = -i**3 - 3*i**2 + 5*i + 4. Let p be x(-4). Suppose -4*f + 9*f + 4*y - 45 = p, 3*y = -f + 9. Solve f = 4*r - r for r.
3
Let a be ((-2)/3)/((-12)/(-216)). Let o = -8 + a. Let z = -18 - o. Solve -4*c - z = 2 for c.
-1
Let s = -19 + 45. Solve -s*z = -23*z for z.
0
Let q(r) = 7*r + 2 - 7 - 2 - r**2. Suppose 2*j = 16*j - 70. Let y be q(j). Solve 0 = -v + y*v - 4 for v.
2
Let s = 26 + -22. Suppose -z - s*z = -5*r + 20, -8 = -3*r - z. Solve 4*f = -5 - r for f.
-2
Let j be (-1 - -3 - 1)*0. Let p(s) = s**2 - 7*s. Let w be p(7). Suppose 0*g = 2*g - 5*q - 23, w = g + 4*q - 5. Solve j = -5*i + g - 4 for i.
1
Let t(w) = -w**3 + 3*w - 1. Let s be t(2). Let n be s - 76/(-28) - (-74)/14. Solve n*v = 7 + 18 for v.
5
Suppose 3*o + 57 = 3*s, -2*s + 3*o + 34 = 5*o. Let c = s + -22. Let y be c - (1 + 0)*-8. Solve 0 - y = -4*l for l.
1
Suppose 0 = -7*u + 5*u + 6. Let j be 2/10 - 5/75*u. Solve j = f + 3 - 0 for f.
-3
Let c(d) = d**3 - 4*d**2 + 2. Let u be c(3). Let b be 1/u + 8/7. Solve -3*x = -b - 14 for x.
5
Suppose 15*q = 23*q - 16. Solve 0 = i + q - 4 for i.
2
Let r(d) = 11*d**2 - d. Suppose 4*f = -2 - 2. Let b be r(f). Let v be (-36)/(-126) + ((-26)/(-7) - 2). Solve 0 = v*k + k - b for k.
4
Let r(k) = 5 + 7*k - 2 - 7. Let h be -2 - 0/(-1) - -4. Let c be r(h). Solve -4*w - c = -2 for w.
-2
Suppose 0 = -15*g + 5 + 370. Solve 25 = i + g for i.
0
Let i = -37 - -19. Let m be (-50)/i - (-4)/18. Solve m*u - 3 + 15 = 0 for u.
-4
Let r = -305 - -323. Solve -r = 6*q + 6 for q.
-4
Let k be -1*91/(-7)*1. Solve 8*z - 37 = -k for z.
3
Suppose -19*r + 16*r + 6 = 0. Solve r*k + 5 = -5 for k.
-5
Let k be (-2)/(-10) + (-783)/(-135) - -3. Solve -5 = k*b - 14*b for b.
1
Let i(w) = w**3 + 7*w**2 - 9*w + 11. Let f be i(-8). Let j = 19 - f. Solve j = -c + 6*c - 25 for c.
5
Let u(v) = -v**3 + 12*v**2 + 12*v + 13. Let g be ((-19)/(2 - 3))/1. Suppose 2*q + 61 = 5*y, -5*y + 54 = 4*q - g. Let x be u(y). Solve 7*j - 2*j - 20 = x for j.
4
Let h be (-12)/(-9)*6/12*3. Solve c - 3*c = -h for c.
1
Let y = -8 - -11. Suppose y*o + 4*x - 8 = 0, o + 0*o - 2 = -2*x. Solve 10 = o*h - 2*h for h.
5
Let r(n) = 3*n - 2*n + 14 - 4 - 2*n. Suppose d = -a + 12, 3*d - 4*a - 11 - 11 = 0. Let o be r(d). Solve 0 = -o*t - 2*t for t.
0
Let j be 2 - 12/6*-9. Solve 31*p = 36*p + j for p.
-4
Let v(p) = -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of -2*n**2 + n**2 + 8 + 8. Determine t(a).
-6
Let b(y) = -2*y**3 - 4*y**2 - 3*y - 2. Let w be b(-2). Let j(g) = 0 + 3 - g + 4 - w. Suppose 3*o + 5*c = -34, 0 = -2*o + 5*c + 8 + 11. What is j(o)?
6
Let d(b) = 10*b + 1. Let p(k) = k + 11. Let c(u) = -d(u) + 3*p(u). What is c(5)?
-3
Let f = 44 + -41. Let j(h) = -2*h + 6*h**3 - 5*h**3 + 2*h**2 + 1 - 6*h**f. What is j(1)?
-4
Let t(k) = -k**2 + 9*k + 5. Let x be t(10). Let z(w) = -w**2 + 27. Let g be z(x). Let o(u) = 3*u**2 - u. What is o(g)?
10
Let r(t) = 5*t**2 + 15*t + 4. Let l(p) = 7*p - 20. Let z be l(2). Let u(k) = 2*k**2 + 7*k + 2. Let h(s) = z*r(s) + 14*u(s). Give h(6).
-20
Let q(z) = -5*z**2 + 11*z - 3. Let t(w) = -13*w**2 + 23*w - 6. Let l(k) = 5*q(k) - 2*t(k). Give l(-10).
7
Let j(c) = -c**2 + 13*c - 8. Let h(p) = 2*p**3 - 26*p**2 - 28*p + 6. Let l be h(14). Give j(l).
34
Let g be 24/9 + 12/(-18) + 0. Let w(a) be the third derivative of 0*a + 1/8*a**4 - 3/2*a**3 - 6*a**g + 0. Determine w(6).
9
Let o = 27 + -26. Let b(y) = 31*y - 32*y - o - 1 + y**3. Determine b(0).
-2
Let t(j) = 3*j**2 + 2*j - 2. Let o be 10/(-15)*(1 + 2). What is t(o)?
6
Let x(i) = i**2 + 9*i + 9. Let s = 34 - 39. Let b = s - -5. Let n be b + -4 - (-7 + 9). Determine x(n).
-9
Let u(d) = -3*d**3 - 2*d**2 - d + 5. Let o(k) = -5*k**3 - 2*k**2 + 5. Let g(v) = 2*o(v) - 3*u(v). Give g(3).
-5
Let i(k) = k**3 + 7*k**2 + 5*k - 6. Let l be i(-6). Suppose 1 + 1 = u. Suppose 2*m + u = -2*b - l, 0 = 4*m - 12. Let x(z) = -z**2 - 7*z - 4. Determine x(b).
8
Let h(c) = 15 - 1 + 29 - c - 42 + 32. Calculate h(13).
20
Let w(l) = -8*l - 16. Let o(a) = -10*a - 18. Let h(x) = -5*o(x) + 6*w(x). Give h(4).
2
Let r = -271 - -276. Let t(x) = 2*x + 12. Give t(r).
22
Let s(o) = -o**3 + o**2 - 4*o + 3. Let g be (-12)/(-8)*(-56)/(-42). Give s(g).
-9
Let j be 24/30*5*(-3)/(-4). Suppose -7 + 1 = j*l. Let c(r) = r + 0*r - 5*r**2 + 3*r**2. Determine c(l).
-10
Let y(n) be the second derivative of 14*n + 0 + 1/20*n**5 + 3/2*n**2 - 1/6*n**3 - 1/2*n**4. Suppose -2*l + 4 = -4*o, 0 = -2*l + 7*l - 4*o - 22. What is y(l)?
-3
Let b(q) = -3*q**2 - 1. Suppose 3*s = 2*l + 2 - 9, 0 = 4*l + 5*s + 19. Let y be b(l). Let c(d) = -2*d + 0 + 3*d + 2. What is c(y)?
-2
Let f(x) be the second derivative of 0*x**3 - 5/12*x**4 - 3*x + 1/720*x**6 - 1/120*x**5 + 0*x**2 + 0. Let q(p) be the third derivative of f(p). Give q(-2).
-3
Let t(c) = -c**3 + c**2 + c. Let v(a) = -a**2 - 9*a + 9. Let l(d) = d**3 + 9*d**2 + 9*d. Let u be l(-8). Let r be 12/u*(-20)/(-3). Let q be v(r). What is t(q)?
1
Let q(d) = 9*d**3 - d**2. Let c = -38 + 37. What is q(c)?
-10
Let f = 1 + 12. Let g(u) = 3*u + 10 + 3 - f. What is g(1)?
3
Suppose 0 = -2*c + 3*b + 1, 10 = 4*c - 4*b - 2. Let i(w) = -87*w + 86*w + 9 - c*w**2 - 9. Let l(v) = v - 1. Let f be l(0). Determine i(f).
-7
Let c(t) = t**2 + 4*t - 1. Let l(k) = -k**3 + 6*k**2 + 26*k + 2. Let d be l(9). What is c(d)?
20
Let m(s) = s - 1. Let f be -2 - 11/(-6) - 284/24. Let z be (9/(-4))/((-18)/f)*2. What is m(z)?
-4
Suppose 3*y - 2*s - 4 = 0, -y - 8 = 12*s - 8*s. Let q(g) = -g**3 - g - 2. Give q(y).
-2
Let d(m) be the second derivative of -2*m + 0 + m**2 + 7/60*m**5 + 1/24*m**4 + 0*m**3. Let u(q) be the first derivative of d(q). Calculate u(1).
8
Let p(q) = 3*q**2 + 2 + q**3 + 2*q + 9*q - 16*q. What is p(-4)?
6
Let d(k) = k**2 + 10*k - 32. Let b(n) = n + 1. Let i(t) = -5*b(t) + d(t). Let p(h) be the first derivative of i(h). What is p(-6)?
-7
Let g(p) = -7*p**2 + 11*p - 9. Let q(o) = 20*o**2 - 32*o + 26. Let b = 125 + -108. Let y(u) = b*g(u) + 6*q(u). What is y(3)?
-3
Let d(c) = -3*c**2 + 2*c - 2. Let p(y) = 14*y**2 - 10*y + 7. Let u(q) = 9*d(q) + 2*p(q). Give u(2).
-4
Let j(a) = a + 1. Let p(h) = h + 2. Let k(l) = -6*j(l) + 3*p(l). Suppose 13*c = 7*c + 24. Let m be 5*(-6)/(-60) + (-10)/c. What is k(m)?
6
|
{
"pile_set_name": "DM Mathematics"
}
|
List the prime factors of 57416.
2, 7177
What are the prime factors of 8465?
5, 1693
List the prime factors of 39351.
3, 13, 1009
List the prime factors of 5542.
2, 17, 163
What are the prime factors of 27639?
3, 37, 83
What are the prime factors of 5738?
2, 19, 151
What are the prime factors of 935?
5, 11, 17
What are the prime factors of 28500?
2, 3, 5, 19
List the prime factors of 1637.
1637
What are the prime factors of 2268?
2, 3, 7
What are the prime factors of 3590?
2, 5, 359
List the prime factors of 628.
2, 157
What are the prime factors of 72?
2, 3
List the prime factors of 10812.
2, 3, 17, 53
What are the prime factors of 618?
2, 3, 103
List the prime factors of 1211.
7, 173
What are the prime factors of 110617?
13, 67, 127
List the prime factors of 108310.
2, 5, 10831
What are the prime factors of 437?
19, 23
List the prime factors of 9498.
2, 3, 1583
What are the prime factors of 30383?
23, 1321
What are the prime factors of 22780?
2, 5, 17, 67
What are the prime factors of 6711?
3, 2237
List the prime factors of 2797.
2797
List the prime factors of 619.
619
List the prime factors of 4702.
2, 2351
List the prime factors of 39277.
7, 31, 181
What are the prime factors of 44271?
3, 4919
List the prime factors of 1324.
2, 331
List the prime factors of 2626.
2, 13, 101
List the prime factors of 2586.
2, 3, 431
List the prime factors of 866.
2, 433
What are the prime factors of 52147?
52147
What are the prime factors of 3070?
2, 5, 307
List the prime factors of 81840.
2, 3, 5, 11, 31
List the prime factors of 52295.
5, 10459
List the prime factors of 4263.
3, 7, 29
List the prime factors of 488.
2, 61
What are the prime factors of 17926?
2, 8963
List the prime factors of 2749.
2749
List the prime factors of 4313.
19, 227
List the prime factors of 6341.
17, 373
What are the prime factors of 5024?
2, 157
List the prime factors of 7950.
2, 3, 5, 53
What are the prime factors of 580?
2, 5, 29
List the prime factors of 81960.
2, 3, 5, 683
List the prime factors of 1253.
7, 179
What are the prime factors of 1402?
2, 701
What are the prime factors of 115?
5, 23
List the prime factors of 4625.
5, 37
List the prime factors of 46687.
46687
What are the prime factors of 46062?
2, 3, 853
What are the prime factors of 11315?
5, 31, 73
What are the prime factors of 690?
2, 3, 5, 23
List the prime factors of 85.
5, 17
List the prime factors of 1235.
5, 13, 19
List the prime factors of 7865.
5, 11, 13
What are the prime factors of 22342?
2, 11171
What are the prime factors of 92925?
3, 5, 7, 59
What are the prime factors of 3469?
3469
List the prime factors of 1585.
5, 317
What are the prime factors of 4577?
23, 199
List the prime factors of 25982.
2, 11, 1181
List the prime factors of 14403.
3, 4801
What are the prime factors of 34231?
34231
List the prime factors of 991.
991
What are the prime factors of 4240?
2, 5, 53
What are the prime factors of 60196?
2, 101, 149
What are the prime factors of 179?
179
List the prime factors of 3683.
29, 127
List the prime factors of 7652.
2, 1913
What are the prime factors of 6323?
6323
What are the prime factors of 6749?
17, 397
List the prime factors of 61378.
2, 30689
What are the prime factors of 6052?
2, 17, 89
What are the prime factors of 10740?
2, 3, 5, 179
List the prime factors of 63651.
3, 7, 433
List the prime factors of 2952.
2, 3, 41
List the prime factors of 567.
3, 7
What are the prime factors of 1088?
2, 17
What are the prime factors of 78132?
2, 3, 17, 383
List the prime factors of 93874.
2, 11, 17, 251
What are the prime factors of 150800?
2, 5, 13, 29
What are the prime factors of 543?
3, 181
List the prime factors of 9523.
89, 107
List the prime factors of 251.
251
List the prime factors of 2559.
3, 853
List the prime factors of 951.
3, 317
List the prime factors of 57662.
2, 11, 2621
List the prime factors of 1775.
5, 71
List the prime factors of 855.
3, 5, 19
What are the prime factors of 77982?
2, 3, 41, 317
List the prime factors of 293.
293
List the prime factors of 67126.
2, 33563
What are the prime factors of 17577?
3, 7, 31
List the prime factors of 5921.
31, 191
What are the prime factors of 4608?
2, 3
List the prime factors of 117615.
3, 5, 7841
List the prime factors of 43712.
2, 683
List the prime factors of 13856.
2, 433
What are the prime factors of 489?
3, 163
What are the prime factors of 2234?
2, 1117
List the prime factors of 1062.
2, 3, 59
What are the prime factors of 200016?
2, 3, 463
List the prime factors of 17836.
2, 7, 13
What are the prime factors of 46727?
46727
List the prime factors of 6107.
31, 197
What are the prime factors of 50233?
191, 263
What are the prime factors of 6014?
2, 31, 97
What are the prime factors of 154?
2, 7, 11
List the prime factors of 4669.
7, 23, 29
What are the prime factors of 4361?
7, 89
List the prime factors of 127.
127
What are the prime factors of 53194?
2, 26597
What are the prime factors of 6860?
2, 5, 7
List the prime factors of 41721.
3, 13907
List the prime factors of 349.
349
What are the prime factors of 43151?
43151
What are the prime factors of 252?
2, 3, 7
List the prime factors of 64483.
64483
List the prime factors of 3932.
2, 983
What are the prime factors of 20521?
20521
List the prime factors of 49900.
2, 5, 499
What are the prime factors of 128773?
131, 983
What are the prime factors of 368?
2, 23
What are the prime factors of 1553?
1553
List the prime factors of 31961.
31, 1031
List the prime factors of 268.
2, 67
List the prime factors of 5837.
13, 449
What are the prime factors of 2253?
3, 751
What are the prime factors of 455?
5, 7, 13
List the prime factors of 671.
11, 61
What are the prime factors of 76324?
2, 19081
What are the prime factors of 24347?
97, 251
List the prime factors of 30549.
3, 17, 599
What are the prime factors of 40421?
83, 487
List the prime factors of 42025.
5, 41
List the prime factors of 33.
3, 11
List the prime factors of 60240.
2, 3, 5, 251
List the prime factors of 53571.
3, 7, 2551
What are the prime factors of 1705?
5, 11, 31
What are the prime factors of 15124?
2,
|
{
"pile_set_name": "DM Mathematics"
}
|
?
l
Let t = -14.72 - -6.72. Which is the biggest value? (a) -3 (b) -1 (c) t (d) 17
d
Let u = -3.08 + -14.82. Let n = u + 18. What is the second smallest value in n, 0.03, -1/11?
0.03
Suppose n + 1 = 0, 4*u - 2*n - 17 = -n. Let d be -5 - (6/(-2) + u). Let w = -13/2 - d. Which is the smallest value? (a) 1/4 (b) w (c) -0.4
b
Let x = -167.5 + 69. Let m = 99 + x. What is the second smallest value in 2, -5, 2/3, m?
m
Let n = 0.17 - -0.13. Let k(z) = -2*z**2 - 3*z**2 - z**2 + 6 - z**3 + 8*z. Let d be k(-7). Which is the third biggest value? (a) n (b) d (c) -2
c
Let l = 876 - 894. What is the smallest value in -5, -6, l?
l
Let c = -5.4 - -5. Let a be (-3 - 0)*-1*(3 - 6). What is the second smallest value in 2/11, a, c?
c
Let v = 64.52 + 0.58. Let g = 65 - v. Which is the biggest value? (a) 3/7 (b) 0 (c) g
a
Let v = -1.09 - -1.09. What is the third smallest value in 0.04, 2, v?
2
Let p = -31.8 + 2.8. Let n = -43 - p. Let r = n + 10. What is the second smallest value in r, -1, 3?
-1
Suppose 0 = z - 3, -3*d + 3*z = -2*d + 11. Let x = 51.5 - 51. What is the fourth smallest value in 0.1, -4, d, x?
x
Let m = -0.1249 - -0.0249. Let r = 3 + -14/5. Which is the smallest value? (a) r (b) m (c) -4/5 (d) -1
d
Suppose -3*x = -z + 1, -2*z - 2*x = 3*x + 20. Let p be (-390)/150 + (0 - (-6)/2). Which is the second biggest value? (a) 2 (b) p (c) z
b
Let o = -56 + 59.9. Let d = o - -1.1. Which is the third biggest value? (a) -3/7 (b) d (c) 9
a
Let g = -2359.7 + 2467. Let a = -107 + g. What is the biggest value in -2/19, 3/2, a, 2?
2
Let f = 161 - 647/4. Let d = 92.88 - 95. Let m = 0.12 + d. Which is the third smallest value? (a) f (b) m (c) 0.2
c
Suppose 2*s - 59*l + 2 = -61*l, -2*s + 3*l + 3 = 0. Which is the biggest value? (a) s (b) -130 (c) -2/7
a
Let c = -11/30951 + 194083525/340461. Let g = c - 570. Let b = g - 109/165. What is the smallest value in 1/7, -2/7, b?
b
Let w(z) = z**3 - 34*z**2 + 63*z + 24. Let p be w(32). Let o = 60 - 59.96. What is the third smallest value in p, o, 1?
1
Let c = -4 - -3.7. Let j = -127 - -121.72. Let d = -0.28 - j. What is the biggest value in -1, d, c?
d
Let u = 13.4 + -13. Let z = 0.4 - u. Let t = 2.03 - 0.03. Which is the second biggest value? (a) t (b) z (c) -2/3
b
Let d be (1 + 1)*(-1)/(-6). Let j be (-41)/(44/34 + -1). Let s = j - -139. Which is the biggest value? (a) d (b) s (c) 2
c
Let k be 24/20*20/(-6). Let s be 10/(-6) + (-1 - k). Which is the second biggest value? (a) s (b) 5 (c) 0.07
a
Let j = -721 - -723. What is the second biggest value in 4, j, 0.1?
j
Let g = 0.0236 + 8.5764. Which is the smallest value? (a) g (b) 0.2 (c) -0.3 (d) 0.4
c
Let z(j) = -2*j - 55. Let f be z(-28). Let d be (f*(2 - 17))/(-3). Which is the third smallest value? (a) 3 (b) 4 (c) d
c
Let m be (-2)/(-4) + 72/16. Suppose -2 = -m*j + 3. Let o be 16/(-104) - (-62)/234. Which is the second smallest value? (a) 2/25 (b) j (c) o
c
Let j = -329 + 2304/7. Which is the fourth biggest value? (a) 0.1 (b) -25 (c) j (d) -3
b
Suppose -2*o + 0*o + 19 = 5*n, -2*n + 22 = -4*o. Let z = 26.4 + -26. What is the smallest value in z, -4, 3, o?
-4
Let b = -72.2 - -69.2. What is the biggest value in b, 1.6, 2/7, 4/3?
1.6
Let x = -116 + 115.93. Suppose 0 = r - 3*o - 19, 4*o - 7 + 39 = 3*r. What is the second biggest value in 2/5, x, r?
2/5
Let u = 15.6 + -11.6. Which is the smallest value? (a) 0 (b) u (c) -33
c
Let t = -192 + 196. Which is the second smallest value? (a) t (b) -4/7 (c) -2/21
c
Let p(s) = -3*s + 10. Let q be p(4). Let l be 1/q*2/(-4). Let x = 0.038 - 1.038. What is the third biggest value in l, x, -2/5?
x
Let r = -68.4 + 68.9. Which is the biggest value? (a) 1/16 (b) 4 (c) r
b
Let o(h) = -h**3 - 4*h**2 + 2*h + 5. Let k be o(-4). Let q = -66.78 - -62.78. Which is the biggest value? (a) 0.3 (b) k (c) q (d) 3
d
Let o = 641 - 641.26. What is the second biggest value in o, -2, 0?
o
Let r = 40.011 - 0.011. Let v = r - 44. Which is the third smallest value? (a) 4/9 (b) 1/9 (c) v (d) -5
b
Suppose b = 3 - 7. Let r be (b - (-140)/18) + -4. Let f = 10 - 8. What is the second biggest value in r, 1, f?
1
Let u = -0.7 + 3.7. Let p = 175481/531420 - 5/6252. Let j = p - -8/17. Which is the second biggest value? (a) u (b) 4 (c) j
a
Let i be ((-13)/65)/((-10)/20). What is the biggest value in i, 4/37, 4?
4
Let i(p) = p + 13. Let n be i(-15). Let y(x
|
{
"pile_set_name": "DM Mathematics"
}
|
9/2)*d/d**(-2/17)*d**(-2/3) assuming d is positive.
d**(-21649/510)
Simplify (x**(-7)*x**17)/(x*x*x**(-5))**(-2/3) assuming x is positive.
x**8
Simplify (o**(-25)/o**(5/6))**(3/5) assuming o is positive.
o**(-31/2)
Simplify ((o**(3/2)*o)/o)/(o/((o*o**(2/9))/o*o)*o*o)*(o/((o*o**(1/17))/o))/(o*o**(-1/31)) assuming o is positive.
o**(-2887/9486)
Simplify h**18/h**(-2/31)*(h**(1/6)/h)/(h*h**(-4)) assuming h is positive.
h**(3763/186)
Simplify (((s/(s*s**0/s))**(-6))**(-5/2))**(-50) assuming s is positive.
s**(-750)
Simplify (((o*o**(-20)*o)**(-32/3))**(-25))**(2/133) assuming o is positive.
o**(-9600/133)
Simplify i**(-1/2)*i*i*i*i**10*i*(i*i**(-6))**(1/56) assuming i is positive.
i**(751/56)
Simplify ((t*t*t*t/(t**2*t*t)*t)/t)**39*(t/(t*t/(t/((t*((t**(-6)*t*t)/t)/t)/t*t))))/(t*t**9) assuming t is positive.
t**(-5)
Simplify (d*(((d*d/(d**(-14)/d))/d)/d)/d*d**17*d)**3 assuming d is positive.
d**99
Simplify (h**(1/20))**43/((h**(4/9)*h)/(h**9*h)) assuming h is positive.
h**(1927/180)
Simplify (t/t**10)**12/((t/t**(-18/11))/t**(-2/53)) assuming t is positive.
t**(-64523/583)
Simplify (i*i**(3/5))/i**(-1/9)*i**(-6)*i**(-14)/i assuming i is positive.
i**(-868/45)
Simplify (i*i**10*i*i*i**0)/(i**(-2))**50 assuming i is positive.
i**113
Simplify (((s**(-2/11)/s*s)/s*s*(s/(s**(-4/3)*s))/s)**(3/2))**(-2/9) assuming s is positive.
s**(-5/99)
Simplify (l/(l/l**(1/5)))**(-2/9)/(l**5*((l/((l*l*l**4)/l)*l)/l)/l) assuming l is positive.
l**(-2/45)
Simplify (t/t**(-3/11))**(-3/23)*(t/t**14)/(t/(t/t**(-16))*t*t) assuming t is positive.
t**(211/253)
Simplify (b**(-3)/b*b)**30*b**(4/11)/((b/(b*b*b**8))/b) assuming b is positive.
b**(-876/11)
Simplify (a**(-7/3)/((a/a**9)/a))/(a*a**(3/2))**0 assuming a is positive.
a**(20/3)
Simplify c*c**(-5/8)*c**(3/2)/c*(c**(-2)/c)**(-13/2) assuming c is positive.
c**(163/8)
Simplify ((((y/y**(-11/8))/y)/y)**(-17))**27 assuming y is positive.
y**(-1377/8)
Simplify (p**(-3))**(7/3)/(p**(2/7))**32 assuming p is positive.
p**(-113/7)
Simplify (m/(m/m**4))**(4/5)*((m*m**12)/m*m)/(m*m*m/(m/(m/m**(-3)))*m*m*m) assuming m is positive.
m**(36/5)
Simplify ((u/(u/(u/(u/(u*u*u*((u*u**(-1)*u*u*u*u)/u*u*u)/u)*u))))**49/(u**(-2/15)/u**(-2/9)))**(-35) assuming u is positive.
u**(-92582/9)
Simplify (v/(v*v**(-4)*v)*v**(-3/8)*(v**(-2))**18)**50 assuming v is positive.
v**(-6675/4)
Simplify ((z/(z/z**7))/((z/z**(-6))/z))/((z/z**(1/2)*z*z)/(z*z**(1/2))) assuming z is positive.
1
Simplify ((k*k/(((k*((k/k**1)/k)/k)/k)/k))**(1/2)/(k*k/((k*k**(1/4)*k)/k))**(8/9))**(-25) assuming k is positive.
k**(-275/6)
Simplify (h**(-5))**(2/3)/(h**(-5/3)/(h/h**(-1/11))) assuming h is positive.
h**(-19/33)
Simplify (k**(2/3)*k)**24/(k**(-3)/(k**12*k)) assuming k is positive.
k**56
Simplify (f**(-1/9)*(f/(f**(-2/55)/f))/f)/(f*f*f**(3/2)/f)**36 assuming f is positive.
f**(-44092/495)
Simplify (u*u**3)**(-22/9)*(u**(-6/11)/u*u*u)/u*u**0 assuming u is positive.
u**(-1022/99)
Simplify (r*r/(r/(r/((r*r**(1/6))/r)))*r/(r/(r/(r*(r**(3/4)/r)/r))))**(-3/14) assuming r is positive.
r**(-37/56)
Simplify p**(-2/51)*p**23*((p/(p*p**7))/p)/p**(-16) assuming p is positive.
p**(1579/51)
Simplify (t**(-6/17)/(t/t**(-16)))/(t**(-1)*t*t)**34 assuming t is positive.
t**(-873/17)
Simplify ((c/(c*c**(-6/13)))/(c/(c*c**(-15)*c)))/(c**16/(c/(c*c**(-16)))) assuming c is positive.
c**(-176/13)
Simplify (l*l*l/l**12*l*l**(1/7)*l)/(l**(-28)*l**(6/11)*l) assuming l is positive.
l**(1509/77)
Simplify (t**(-2/13)/t)**10*(t**(-8))**(-19/2) assuming t is positive.
t**(838/13)
Simplify b*b**(2/3)*b**(1/5)*b/(b*b**(2/39)/b)*b**(3/13)/b assuming b is positive.
b**(133/65)
Simplify (p**5)**(-15)/(p**(-2)*p*p)**(2/29) assuming p is positive.
p**(-75)
Simplify l*l**8/l*l*l**(1/2)*((l/l**(2/11)*l)/l)**(-16) assuming l is positive.
l**(-79/22)
Simplify ((z**(-1/5)/z*z)/(z*z**(-13)*z*z)*(z*z/z**(-9))/z**(-11))**(-28) assuming z is positive.
z**(-4452/5)
Simplify x*x/x**(-1)*(x/(x/x**10))/x*((x*(x**(-4/11)/x)/x*x*x*x)/x)/x**(1/3) assuming x is positive.
x**(406/33)
Simplify (k**(1/10)*k**8)/(k*k**9*k/(k**(-8)*k*k*k)*k) assuming k is positive.
k**(-89/10)
Simplify (y*y*y**(-33)*y*y**20)**(9/5) assuming y is positive.
y**(-18)
Simplify l**(-10)/(l*l/l**(-13/3)*l)*l**(-29)*l**(-1/26) assuming l is positive.
l**(-3617/78)
Simplify (g**(1/2)*g**20)/((g/(g**(-17)*g))/((g**13*g)/g)) assuming g is positive.
g**(33/2)
Simplify (((t*t**(7/6))/t)/(t*t**(4/3)*t*t*t))**30 assuming t is positive.
t**(-125)
Simplify ((a*(a*a/((a**11/a)/a))/a*a*a/a**1)/(a**(-2/21)*a**(-9
|
{
"pile_set_name": "DM Mathematics"
}
|
0.3 - 0.4. What is the closest to d in -3, a, -2?
a
Let i = 39 - 192/5. Which is the closest to -1/3? (a) 3 (b) i (c) -2/7
c
Let n(q) = 3*q**2 - q. Let r be n(-1). Suppose -3 = -r*x + 1. Suppose -3*f + 2*f = 0. What is the nearest to f in 0.4, 0.1, x?
0.1
Let d be (6 - -3)*4/6. Let m be (0 - (-3)/d)/(-1). Let y be (-8)/(-28) + 30/(-7). What is the nearest to 0 in m, y, 0.1?
0.1
Let k be 15/(-2)*2/(-20). Let f = -17.3 - -2.3. Let u = -14 - f. Which is the closest to u? (a) -3 (b) 1 (c) k
b
Let l(d) = d - 4. Let h be l(3). Let u = h + 1. Let o = 27 - 25. What is the nearest to 0.1 in -3, o, u?
u
Let u = 3 + -6. Let t = 134 - 133. What is the nearest to 2/7 in t, u, 2?
t
Let b = -52 + 54. What is the nearest to b in -0.5, 9, 0.5?
0.5
Let n = 5 - 9. Let u = -0.8 - -8.8. Let v = -9 + u. Which is the closest to v? (a) n (b) -4/9 (c) -1
c
Let s(n) = 2*n**3 - n**2 + 5*n + 6. Let m be s(-4). Let r = 794/5 + m. What is the closest to 3 in -0.3, r, 4?
4
Let u(p) = -2*p - 1. Let o be u(-3). What is the nearest to 2/5 in -2, -3, o?
-2
Let p = -7.3 + 7. Let w = -9.2 + 11. Let l = 1.3 - w. What is the closest to -0.1 in -3, p, l?
p
Let o = 0.1 - 0.3. Let f = o + 0.3. Let x = -724 - -723.6. What is the nearest to 0.2 in f, 5, x?
f
Let x = -16 - -2. Let o be (-8)/(-6)*3/x. Let v = 641/4 - 160. What is the closest to v in o, -2, -5?
o
Let l = -0.8 + 19.8. Let h = 18.5 - l. Suppose 0 = 3*j + 1 + 2. Which is the closest to -2/3? (a) j (b) 3/7 (c) h
c
Let f = 32.4 - 32. Let s = -3.4 - -3. What is the closest to -2 in f, -3, s?
-3
Let n = 0.3 + -0.5. Let o = n + 1.2. Let t = 61 + -241/4. What is the closest to o in t, 2, -5?
t
Let o = 0.1 - 0.09. Let s = 0.19 + o. Which is the nearest to 2/9? (a) -4 (b) 0.3 (c) s
c
Let b be (3/4)/(2/(-16)). Let w(p) = p**2 + 6*p - 5. Let a be w(b). Let h = -40 + 40.2. What is the nearest to -0.3 in a, 1, h?
h
Let i be (-6)/(-21)*2/4. Let s = 0.03 + 0.37. Which is the nearest to 1/4? (a) i (b) s (c) 0
a
Let v = -2.03 - -0.03. Let w = 1 - v. Let d = 2 + -5. What is the nearest to -1/3 in -2, d, w?
-2
Let u = 24 - 37. Let z = u - -14. Let v = 0.9 + 0.1. What is the closest to z in v, 1/2, 0?
v
Let s be -1 - ((-70)/(-15))/(-7). Let l = -0.1 - 0.4. Which is the closest to -1? (a) s (b) -0.4 (c) l
c
Let u = -4 + 3.8. Let l = 9 + -7.5. Let f = 1.8 - l. What is the nearest to f in 2, -5, u?
u
Let d = 0.97 - 1.27. What is the nearest to d in 4, 3, 1/3?
1/3
Suppose 4*z + 2*z = -6. What is the closest to -1 in -2/5, 2/3, z?
z
Let u = 10.2 + 1.8. Let k = 13 - u. What is the nearest to -1 in 3, k, -2?
-2
Let t be ((-6)/(-10) - -2) + -2. Let s be 5*3/(-22) + 4/8. Which is the nearest to 0.1? (a) s (b) 1/5 (c) t
b
Let d = -15 - -16. Let h(i) = -i**3 + i**2 + 3*i - 1. Let a be h(2). Let q be (a/3)/(1/3). What is the closest to d in -5, -0.5, q?
q
Let q = -0.79 + 2.79. Which is the nearest to -0.2? (a) q (b) -2/11 (c) -0.4
b
Let r = 33 + -33.13. Let x = r - -0.03. Let o = -0.5 - 2.5. What is the nearest to 2/7 in o, -4/7, x?
x
Let q = 0.013 - -22.987. Let x = q + -24. What is the nearest to 4 in x, 5, -4?
5
Let u = -5 - -2. Let p = u + 5. Let s = 0.1 + -0.1. What is the closest to -2/5 in 1/3, s, p?
s
Let u be 10/3 - (-4)/(-12). Suppose -13 = -4*p - 3*v, 2*p + u*v = -0*v + 11. Let y be 1/(p/(4/2)). What is the closest to y in -3, 1/5, 2/5?
2/5
Let v = 0.04 - 4.04. Let o = -0.1 - -0.2. Let h = -137/150 + 2/25. Which is the nearest to o? (a) 0.3 (b) v (c) h
a
Let h = 2 + -6. Let o = 4.92 + 0.08. Which is the nearest to 0.1? (a) 0.2 (b) o (c) h
a
Let j = 64 - 129/2. Which is the closest to j? (a) -2/9 (b) 1 (c) -0.5
c
Let z be 2 + 2*(-11)/12. Let d = -419 + 8801/21. What is the nearest to 2/5 in -0.3, z, d?
z
Let a = 1.4 - 3. Let d = a - 2.4. What is the closest to 2/7 in 2/15, 1, d?
2/15
Let x = -0.62 - -0.5. Let w = x + 0.42. What is the closest to 1 in 2, 4, w?
w
Let l = 134/3 - 44. Suppose -10 = 2*c - 4*o + 2*o, 0 = 5*c + o - 5. What is the nearest to l in -0.4, c, 0.1?
0.1
Let x be (-123)/18*2/3 + 4. Which is the closest to x? (a) -2 (b) 2/5 (c) -4
b
Let q be (-1)/4 - 9/12.
|
{
"pile_set_name": "DM Mathematics"
}
|
Let x be 3/(-6*(-1)/v). Let w be x - -1 - (-4 - -5). Which is smaller: -8 or w?
-8
Suppose -8*f = -5*k - 9*f - 2666, 4*k - 4*f = -2104. Which is bigger: k or -2653/5?
-2653/5
Suppose 5*c = -2*t + 3*c + 8, -4*c = 0. Let o be -3 + (-6)/t - (-6)/(-4). Let p be ((-16)/(-30))/(30/(-5))*o. Which is smaller: 0 or p?
0
Let r = 1230 - 1249. Which is smaller: r or -352/19?
r
Suppose -43*p = -41*p + 18*p. Are p and 3/98 equal?
False
Let g be (-274)/1192 + (-169)/(-52). Which is greater: g or 4?
4
Suppose -306 = a - y - 2478, a = 5*y + 2156. Which is smaller: a or 2171?
2171
Suppose 4*g + 4386 = -2*m, 0 = g + 3*g - 3*m + 4411. Let d = -20886/19 - g. Let x be (-2)/1 - (0 - 1). Which is bigger: d or x?
d
Suppose 3*d = -c + 364, -5*d + 360 = -2*d + 3*c. Let x = -21551 - -21675. Do d and x have the same value?
False
Let l(z) = z**3 - 17*z**2 - 34*z - 100. Let g be l(22). Which is greater: g or 1573?
1573
Let x = -125.97 - -128.97. Which is greater: 1/242 or x?
x
Let g = -322.3 + 322. Let w = 1 + -1.7. Let c = w - 1.3. Which is greater: c or g?
g
Let t = 0 - 0.2. Let p = 42230 - 42229. Is p equal to t?
False
Let m be (245/(-588))/((-15)/(-1899)). Are m and -1/2 equal?
False
Let q = -41.59 - 0.41. Let w = 83 + q. Let i = -35 - -141/4. Is w > i?
True
Let v(n) = 22*n + 382. Let d be v(-19). Let t be (5 + -1)/(-8)*140/2. Is d at least as big as t?
False
Let j = 9636 + -5424. Is j greater than 3?
True
Let b(y) = -30*y**3 - 2*y**2 + y. Let k be b(1). Let l = 87/8 - -163/8. Let n = k + l. Is -13 less than n?
True
Suppose 0 = 8*v + 4*v - 7032. Let j(h) = 4 + 291*h + 290*h - v*h. Let n be j(-2). Are n and 16 unequal?
True
Suppose 6*f - 69 = -45. Let x = 5 - 2. Suppose x*c + 1 = 4*c. Is f < c?
False
Suppose -30*l - 171 = -11*l. Let x(k) = k**3 + 8*k**2 - 7*k + 19. Let b be x(l). Let t be 3/(-15) + 1/30. Which is smaller: t or b?
t
Let i be (-1)/(-3) + 2 + (-44)/(-12). Suppose -2*w - 4*l - i - 4 = 0, -2*l = 6. Which is smaller: -104 or w?
-104
Suppose -74*q + 24 = -70*q. Suppose -5*o - 4*w = -3, -7 = 3*o - 2*w - 22. Suppose -o*t - 7 = -4*t. Which is greater: q or t?
t
Let w = -70 - -69. Let i = -1.7 + 10.7. Let d = 8 - i. Is d not equal to w?
False
Let d = -7 + 7. Let q = 7 + d. Let x = -2122/3 - -707. Is q less than x?
False
Let d = 0.31426 - 0.11426. Which is greater: 0.0534 or d?
d
Suppose 22*f - 18*f + 2*l - 102 = 0, -4*f = -3*l - 107. Is 27 <= f?
False
Let n = -10 + 19. Let p(s) = n + 2*s - 5*s - 10 + 2*s. Let d be p(8). Which is smaller: d or -0.1?
d
Let a = -41 - -41. Suppose -8*f + 7*f - 6 = a. Let r be -1 + (f/9)/2 + 1. Which is smaller: 0 or r?
r
Let s(d) = -d + 32. Let i be s(0). Let n = -1.743 + 1.7863. Let r = 0.0433 - n. Is r greater than i?
False
Let u = 2877711 + -54656059/19. Let v = u - 1076. Let j be (10 - 2457/245)/((-1)/10). Is j != v?
True
Let b = -45 - -46. Let x = -1208 + 1206. Which is smaller: b or x?
x
Let n = 29985 + -23981. Is 6004 < n?
False
Let x = 38255 + -38254. Is -6/6551 greater than or equal to x?
False
Let c = 17883.969 - 17904. Let s = c + 0.031. Let p = -19.8 - s. Which is smaller: -3 or p?
-3
Let k = 3620.3 - 3411. Let n = -209 + k. Which is smaller: n or 4/7?
n
Let x(d) = -d**2 - 6*d - 3. Let y be x(-6). Let t be 854*(-1)/6*y - 2. Which is smaller: 424 or t?
424
Suppose -12246 = 17*z + 3377. Which is smaller: z or -2759/3?
-2759/3
Let x be ((-19)/57)/((-11)/408). Let d = x - 188/33. Is d at least 8?
False
Let z = 51861 - 157576/3. Is -663 less than or equal to z?
False
Let j be (-39)/(-169) + 55125/(-233805). Which is bigger: 0 or j?
0
Let u(a) = 8*a + 149. Let s be u(-18). Let f(o) = -o**3 + 6*o**2 + 4*o + 5. Let c be f(s). Which is smaller: 99/2 or c?
99/2
Let f = 24076 - 23709. Suppose 0 = -3*r + 4*i + 1105, 0 = -r - 3*r + 2*i + 1470. Is f > r?
False
Let v = -627669/1940 - 23/388. Which is greater: -323 or v?
-323
Suppose -8*x + 1251 = x. Let k = x + -132. Which is smaller: 15/2 or k?
k
Let z = 106 + -45. Let b = 85 - z. Which is smaller: b or -0.06?
-0.06
Let h(j) = 19*j + 1. Let l be h(7). Suppose 4*v - l = v + 4*w, w + 119 = 3*v. Suppose -v = 7*m - 5*m. Which is smaller: -18 or m?
m
Let q be 2*1/(-2) - -1. Suppose -5*c - 43 = -r, 159 = 5*r - 5*c + 44. Suppose 0 = j + 18 - r. Is q > j?
False
Let v = 2906 + -2891. Is -3 equal to v?
False
Suppose 750*d - 6407 - 16093 = 0. Let s(c) = -c**3 + 9*c**2 + 4*c + 1. Let x be s(9). Do d and x have different values?
True
Let a = 277 - 237. Let q be 5*(5 - 6/(-2))*1. Is a less than or equal to q?
True
Let j be 7/140*4*(-65)/91. Is j >= -137?
|
{
"pile_set_name": "DM Mathematics"
}
|
ve 16 + 61 = -77*r for r.
-1
Solve -16*u + 15*u - 4 = 0 for u.
-4
Solve 0 = -14*j + 16*j - 2 for j.
1
Solve -11*t = -19*t + 8 for t.
1
Solve 6*u = -5*u - 5*u for u.
0
Solve 1116*w - 1120*w = -16 for w.
4
Solve -3*f + 36 = 9*f for f.
3
Solve 18*f - 15 = 23*f for f.
-3
Solve 22*i - 30*i = 0 for i.
0
Solve -4*q + 2*q - 10 = 0 for q.
-5
Solve -274*d - 35 = -269*d for d.
-7
Solve 3*q + 22*q - 125 = 0 for q.
5
Solve -16*h - 52 = 12 for h.
-4
Solve -80*t - 12 = -77*t for t.
-4
Solve 14 = 12*f - 10 for f.
2
Solve 11*x = 34*x - 115 for x.
5
Solve 19*j - 20 = 15*j for j.
5
Solve 0 = 59*p - 181 + 4 for p.
3
Solve -26*k + 25*k + 4 = 0 for k.
4
Solve -565*s + 4 = -566*s for s.
-4
Solve 5 = 7*f + 19 for f.
-2
Solve 0 = -10707*r + 10702*r - 30 for r.
-6
Solve 0 = 31*c + 891 - 1139 for c.
8
Solve 49*p = -2*p for p.
0
Solve 9*z + 50 = -z for z.
-5
Solve -84*i = -115*i for i.
0
Solve -47*r - 10 = -45*r for r.
-5
Solve -15*h - 3 = -14*h for h.
-3
Solve 4*o = 615 - 603 for o.
3
Solve 0*p = -19*p - 76 for p.
-4
Solve -80*u + 24 = -92*u for u.
-2
Solve 0 = -2*y - 7 + 1 for y.
-3
Solve -140 = 166*v - 146*v for v.
-7
Solve 15*u = 6*u + 27 for u.
3
Solve 0 = -5*j - 17 - 18 for j.
-7
Solve 4*c + 11 - 19 = 0 for c.
2
Solve -7*y + 232 = 232 for y.
0
Solve 0 = -363*v + 414*v for v.
0
Solve -4*d - 9 = 3 for d.
-3
Solve 10 + 5 = 3*w for w.
5
Solve -34*o + 53 = -253 for o.
9
Solve -3*o + 62 = 53 for o.
3
Solve 9 = -4*j + j for j.
-3
Solve 162*c = 88*c - 296 for c.
-4
Solve -48*d + 54*d = -30 for d.
-5
Solve -15 = 1011*t - 1026*t for t.
1
Solve -8 = 13*w - 21*w for w.
1
Solve -80*i - 56 - 104 = 0 for i.
-2
Solve 0*g + 22 = -22*g for g.
-1
Solve -3*s - 11*s = -70 for s.
5
Solve -25*n - 42 - 33 = 0 for n.
-3
Solve -11 = 19*f - 30*f for f.
1
Solve 18*r + 3*r = -168 for r.
-8
Solve -16*n = 15 + 49 for n.
-4
Solve -16 + 20 = 4*l for l.
1
Solve -32*u - 48 = -16 for u.
-1
Solve 1605 = 5*d + 1555 for d.
10
Solve -19*r + 31*r = -84 for r.
-7
Solve 81*x + 16*x - 679 = 0 for x.
7
Solve -19*w = -16*w - 21 for w.
7
Solve -25 = 57*c - 310 for c.
5
Solve -4*l = -53 + 41 for l.
3
Solve -38 = 2*l - 34 for l.
-2
Solve -3*c + 7*c = 0 for c.
0
Solve -17*z = -34*z - 33*z for z.
0
Solve -25*z + 2429 - 2379 = 0 for z.
2
Solve -2*k + 9*k = 21 for k.
3
Solve 25*k - 208 = -27*k for k.
4
Solve 0*t = -4*t - 4 for t.
-1
Solve -33*u + 19 - 151 = 0 for u.
-4
Solve 0 = 93*j - 123*j + 150 for j.
5
Solve -6*v = 2*v - 4*v for v.
0
Solve -4*o - 1 = 3 for o.
-1
Solve -3*u + 189 - 195 = 0 for u.
-2
Solve -24 = -16*s + 72 for s.
6
Solve -33 = -5*n - 33 for n.
0
Solve 71*i - 108 = 34 for i.
2
Solve 0 = -4*a + 216 - 192 for a.
6
Solve 2*i - 3 + 5 = 0 for i.
-1
Solve -10*y + 9*y - 4 = 0 for y.
-4
Solve 48 = 2*o - 18*o for o.
-3
Solve 0 = -17*r - 47 - 106 for r.
-9
Solve -10*w + 7973 = 8023 for w.
-5
Solve -11*d + 3*d = 32 for d.
-4
Solve 2*q - 2 = 4 for q.
3
Solve -506*y - 20 = -508*y for y.
10
Solve 39*g - 36 = 33*g for g.
6
Solve 1585 = -94*q + 551 for q.
-11
Solve -26 = 24*a - 50*a for a.
1
Solve -17*o - 40 = -9*o for o.
-5
Solve 13*o = 157 - 79 for o.
6
Solve 197*p = 157*p + 200 for p.
5
Solve 29*m + 87 = -116 for m.
-7
Solve 0 = 45*z + 166 + 14 for z.
-4
Solve -22*w = -19*w for w.
0
Solve -18*b + 41*b = -115 for b.
-5
Solve 18*c + 7*c + 50 = 0 for c.
-2
Solve -7*r + 127 - 92 = 0 for r.
5
Solve 28*b - 60 + 4 = 0 for b.
2
Solve 81 = -2*p + 85 for p.
2
Solve -51*b + 44 = -58 for b.
2
Solve 66 = 10*m + 16 for m.
5
Solve 94 - 184 = -15*v for v.
6
Solve -9*t = 2*t + 11 for t.
-1
Solve 111 - 101 = 5*f for f.
2
Solve -3*s = -52 + 52 for s.
0
Solve 0 = 16*y - 21*y + 15 for y.
3
Solve -6 = -6*j - 12 for j.
-1
Solve 152 - 152 = -3*t for t.
0
Solve 16 = -z + 11 for z.
-5
Solve -5*k = -7 - 18 for k.
5
Solve 8*r = -50 + 42 for r.
-1
Solve -12*b = 4 + 68 for b.
-6
Solve 28*q = 27*q + 4 for q.
4
Solve 172*y = 144*y + 168 for y.
6
Solve -5 - 15 = 4*r for r.
-5
Solve -m - 2 = -4 for m.
2
Solve -22 = 62*d - 73*d for d.
2
Solve -5*n - 26 = -21 for n.
-1
Solve -26*d - 8*d = -238 for d.
7
Solve w - 8 = -3*
|
{
"pile_set_name": "DM Mathematics"
}
|
) = j**3 - 16*j**2 + 14*j + 25. Let m be s(15). Let u(h) = h**3 - 8*h**2 - 12*h - 3. Is u(m) a prime number?
False
Let p(c) = 1590*c**2 + 6*c + 5. Let k(h) = -h + 21. Let s be k(23). Is p(s) composite?
False
Let a(k) = 17*k - 98. Let q be a(6). Suppose -4*v - q*l = -31336, -v + 7832 = 4*l - l. Is v composite?
True
Let m be 1 + (-1 - -2) + 53. Let c(s) = s**3 + 10*s**2 + 10*s + 14. Let u be c(-9). Suppose -22 = 3*h - 4*p - m, -u*h + 78 = p. Is h a composite number?
True
Suppose -77*d + 90*d - 488553 = 0. Is d composite?
True
Let i = -104 - -107. Suppose 0 = -3*j - 2*j, -5*o - i*j = -89255. Is o a prime number?
True
Suppose 0 = -1290*p + 1299*p - 1231218. Let g = -95617 + p. Is g a composite number?
True
Suppose -65 = -8*y + 13*y. Is 4 + 0 - 9555/y a prime number?
True
Suppose 24 = -3*p, -4*x - 1519*p = -1522*p - 1459340. Is x composite?
False
Suppose 4*x - 2*f - 2 = 0, x - 4*f - 3 = -13. Let k be 3 - x - 1817*-1. Let n = 553 + k. Is n a composite number?
False
Let i = 21279 - 14866. Let o = -4000 + i. Is o a composite number?
True
Let g(u) = 7*u**2 + u - 22. Let c(s) = 14*s**2 + 5*s - 6. Let f be c(1). Let y be g(f). Is y/8 - 21/28 - 1 a prime number?
False
Let v(u) be the third derivative of -u**4/8 + 10*u**3/3 - 10*u**2. Let s be v(4). Is (2/s)/((-15)/(-145140)) composite?
True
Let g = 15 - 27. Suppose -22*c - 18 - 43 = 27. Is -11*236/g*(-1 - c) a composite number?
True
Let d = -1524553 + 2633304. Is d prime?
False
Let n(i) = -i**3 - 5*i**2 + 5*i - 5. Let q be n(-6). Let k be (-1*3*q)/(30/(-72570)). Let r = -4164 + k. Is r composite?
True
Let k be 70/7 - 1*-3. Let d be ((-165)/(-6))/(1/22). Suppose -8*o = -k*o + d. Is o composite?
True
Suppose 5*h = -4*y + 4*h + 1908, 0 = 3*y + 2*h - 1431. Is ((-3)/45*-10)/(2/y) a prime number?
False
Suppose 60*q - 589280 - 4202867 = -557887. Is q a composite number?
False
Let m be 89/((-486)/(-483) - 1). Suppose -22*k + 29*k - m = 0. Is k a prime number?
False
Suppose -i + 67423 = 4*k, 5*k = 3*i + 76851 + 7415. Let q = k + -11556. Is q a composite number?
True
Suppose 86*n = -n + 2290449. Is n a composite number?
True
Let f(c) = 26286*c**3 + 5*c**2 + 3*c - 1. Is f(1) a composite number?
False
Let z = 5643 + -2357. Let l = 3975 + z. Is l composite?
True
Suppose -5 = a, l + 4*l - 2*a + 95 = 0. Let h = l + 23. Suppose -x - h*s + 295 = 2*x, -4*s + 493 = 5*x. Is x a prime number?
True
Let c = -4452 + 12353. Is c composite?
False
Let t be (14 - 23)*(0 - 3). Suppose -z + 0*a + t = 3*a, a + 1 = 0. Suppose -32*f + z*f + 422 = 0. Is f prime?
True
Let m = -5 - -10. Suppose -5*x - 10353 + 32814 = 2*o, 2*x = -m*o + 8976. Is x composite?
False
Let k be 4*48548 + 1 + 15/5. Is (-5 - (-39)/6)*k/18 a composite number?
False
Let u be (-20)/(-50) + -3 - 4/10. Let v(f) = 309*f**2 - 7*f - 25. Is v(u) a prime number?
True
Let p(j) = -29. Let t(a) = -a + 57. Let r = -2 + 0. Let m(l) = r*t(l) - 5*p(l). Is m(0) a composite number?
False
Let n = -59 + 61. Is (-5)/n*(-44220)/150 a prime number?
False
Let q = -268389 + 620162. Is q a prime number?
True
Let a = -37 + 31. Let i = -4 - a. Is 1*(-3)/i*4782/(-9) a prime number?
True
Suppose -4023189 = -5*v + 9*d - 5*d, -v - 4*d = -804609. Is v a composite number?
True
Is (4641040/320)/((-1)/(-4)) a prime number?
True
Let h(m) = 1206*m**3 + 16*m**2 - 3*m - 38. Is h(9) a prime number?
False
Let x be -9*(9 + -8)*-1. Is -4 + 9292/(x - 5) - -2 a prime number?
False
Suppose 6*a + 13*a = 5*a. Let j(f) = -24*f + 1. Let z be j(-3). Suppose -5*m + z + 382 = a. Is m a prime number?
False
Suppose -3*r - 4*d = 2*r - 224, 5*r = 3*d + 252. Let h = r + -48. Suppose 4*a + 3854 - 15442 = h. Is a composite?
False
Let t(n) = 31*n + 80. Let f(j) = 21*j + 53. Let k(g) = -g + 1. Let d be k(6). Let y(w) = d*t(w) + 7*f(w). Is y(-11) a composite number?
False
Let l(b) = -305*b**3 + 12*b**2 + 14*b + 92. Is l(-5) a composite number?
False
Suppose -x = -2*a - 445, 3*x - 2*a + 3*a = 1300. Suppose 5*m = 150 + x. Suppose m = -n + 740. Is n composite?
True
Suppose 37*l = -52*l - 15*l + 1432808. Is l a prime number?
False
Suppose -395821 = -32*x + 431987. Is x composite?
True
Suppose -5*k = -2*l - 349095, -404*k - 3*l = -408*k + 279269. Is k a prime number?
True
Suppose 3*t = 25*t - 267278. Is t a prime number?
True
Is 15 + 10 + 73477 + 15 a prime number?
True
Suppose -1092020 = -8617*g + 8597*g. Is g a prime number?
True
Let g(w) = 4*w**3 + 2*w**2 - 1. Let y(a) = 9*a + 28. Let k be y(-3). Let j be g(k). Suppose 7*o - 2105 = 4*o - 4*v, j*o - 3516 = v. Is o prime?
False
Suppose 3*i - 12 + 72 = 0. Let u = -18 - i. Suppose -w - 2*t + 821 = -t, -u*
|
{
"pile_set_name": "DM Mathematics"
}
|
late the smallest common multiple of 132 and q(-22).
396
Let n(r) = -16*r - 2. Let w be n(-2). Suppose 0 = 4*d - w - 50. What is the smallest common multiple of 6 and d?
60
Suppose 0 = -19*r + 15*r + 2*k + 90, r - 25 = k. Calculate the lowest common multiple of 430 and r.
860
Let i(x) = x**2 + 14*x - 27. Let j be i(-13). What is the least common multiple of 114 and 2/(36/j - -1)?
1140
Suppose 0 = -2*l - 10, -h + 0*h + 4*l = -16. Calculate the lowest common multiple of (10 - -3) + h/2 and (-54)/(-7) - 6/(-21).
88
Suppose 13*o - 53 = 25. Calculate the lowest common multiple of o and 129.
258
Suppose x + 2*y + y = 12, -2*x = 3*y - 9. Let b be (-8)/x*4824/32. Let c = -2039/5 + b. What is the common denominator of 93/4 and c?
20
Calculate the common denominator of -5 + 3 - 2*(-95)/(-20) and -1 + 0 + 26/(-12).
6
Suppose -5*p = 46 + 4. Let g(j) = j - 2. Let o be g(p). What is the common denominator of (66/8)/((-2)/o) and 31/14?
14
Let l = 1256083735772221/71856 + -17480568576. Let r = l + -1/4491. Find the common denominator of r and 61/22.
176
Let w(i) = -9*i + 5. Let c(y) = 10*y - 5. Let o(r) = -4*c(r) - 5*w(r). What is the least common multiple of o(4) and 3?
15
Let m = 1499684 - 148469942/99. Let z be (-70)/15*((-204)/(-99) - 2). Let r = z + m. Calculate the common denominator of -149/6 and r.
6
Let x = -126 - -142. Suppose 80 = -11*z + x*z. What is the least common multiple of z and 12?
48
Let d(m) = -m**3 - 22*m**2 - 40*m + 44. Calculate the least common multiple of 77 and d(-20).
308
Suppose 0 = -556*u + 561*u - 225. Calculate the lowest common multiple of 63 and u.
315
Let b = 8221469/150 + -54810. Find the common denominator of b and -11/8.
600
Let d be (0 - -1003)*7/(-56). Let o = d + 809/8. Calculate the common denominator of o and (-4)/16 + (-171)/20.
20
Let m = -2395007/493820 + -1/24691. Let l be (1 + (-2)/(-8))*128/16. Calculate the common denominator of (0 - 222/(-11))/((-40)/l) and m.
220
Suppose 0*g + 4*b = 3*g - 102, -5*g + 3*b + 159 = 0. What is the smallest common multiple of 75 and g?
150
Let x = 37112/43 + -2625281/645. Let z = x - -3202. What is the common denominator of z and 35/3?
15
Suppose 3*b + 2*r + 9 = r, -4*b = 5*r + 23. What is the lowest common multiple of ((-1)/3)/(b/12) and 2?
2
Suppose 10 = 8*k - 3*k. Let q = -1623/56 + 465/28. Calculate the common denominator of q and k + 202/(-20) + 2.
40
Calculate the lowest common multiple of 28*5*(-18)/(-315) and 7.
56
Let v(i) = 28*i**3 - 1. Let m be v(1). Suppose 4*z - m = 17. Suppose 2*r - 17 = -3*g, -g = 5*r - 27 + 17. Calculate the smallest common multiple of z and g.
55
Let k = -11 + 11. Let i(v) = 2*v**3 - 3*v**2 + v - 2. Let l be i(2). Let f = l + k. Calculate the lowest common multiple of 10 and f.
20
Let n = -162024 + 25275889/156. What is the common denominator of n and 25/36?
468
Let u = -2068630/99 - -20895. What is the common denominator of u and 37/9?
99
Suppose 0 = -6*l + 5*l - 3. Let f(r) = 2*r + 10. Let o(s) = -5*s - 19. Let j(u) = 5*f(u) + 3*o(u). Calculate the least common multiple of j(l) and 6.
24
Let y be (4/(-8))/((-3)/(-6)) + 106. Let c = y - 102. Calculate the least common multiple of c and 12.
12
Let m = 15 - 10. Suppose -3*o + 3*k = -6, -3*k - 2 = -m*k. Suppose 7*b - 8 = o*b. Calculate the lowest common multiple of 6 and b.
6
What is the smallest common multiple of 9 + (-16)/(-12)*27 and 6?
90
Let m = 146 + -141. Calculate the lowest common multiple of 130 and m.
130
Suppose -n - 3 = -2*n. Suppose -3*m + 9 = -2*h - 31, 0 = n*m + 4*h - 10. Suppose 2*l + 2 - 8 = 0. Calculate the least common multiple of m and l.
30
Let l(f) = 16*f - 77. Calculate the lowest common multiple of l(23) and 9.
873
Let s(f) = 3*f**3 - 19*f**2 + 61*f + 11. Calculate the smallest common multiple of s(5) and 8.
216
Let z be (2 - (-111438)/11505) + (-4)/26. Let b be (-3 + (-312)/(-118))*-3. Let r = b + z. What is the common denominator of r and 43?
5
Suppose -2*r = -2, 0 = -s - 5*r + 11 - 6. Suppose s = z - 2 - 10. What is the least common multiple of z and 22?
132
Suppose -45 = -5*r + 5*l, r - 5*l + 1 = -2. Suppose -5*w = b - 85, -1 - 45 = -2*w + 2*b. What is the smallest common multiple of r and w?
36
Calculate the common denominator of (-12 - (-7947)/450) + 6*-1 and -143/210.
1050
Let d = -4681/892 + -1/446. Suppose 0 = 2*a + 3*v - 1813, -2722 = -a - 2*a - 4*v. Let r = a - 10110/11. Calculate the common denominator of r and d.
44
Let b = -187 + 235. Calculate the smallest common multiple of 21 and b.
336
Suppose -2*y = y - 51. Calculate the lowest common multiple of y + -4 + (-3)/(-3) + -4 and 108.
540
Let i = 5877/20 + -296. Find the common denominator of i and -91/62.
620
Let c = -2827 - -28209/10. Find the common denominator of -79/10 and c.
10
Find the common denominator of (3 - 5)/(3*(-1540)/(-1029)) and 49/66.
330
Suppose -5*d + 4 = 2*g, -26 = -5*g - 2*d + 5. Calculate the smallest common multiple of 0 + (-2 - -2) + 10 and g.
70
Let z = 203 + -175. What is the lowest common multiple of 63 and z?
252
Suppose 2*h + 2*h = -3*k + 149, 3*h - 4*k = 143. Let v = h + -21. What is the smallest common multiple of 10 and v?
20
Let p = -10421 + 364694/35. Let w = -5878 - -293943/50. What is the common denominator of p and w?
350
What is the common denominator of (-36)/(-342) + (-62)/(-133) and 58/77?
77
Let c(h) = -3*h**3 - h + 1. Let u be c(1
|
{
"pile_set_name": "DM Mathematics"
}
|
et l = w + 4. Let s = l + -0.2306. Round s to three dps.
-0.011
Let w = -0.082 - -0.08154. Round w to 4 decimal places.
-0.0005
Suppose -208 = -5*b - 3*b. What is b rounded to the nearest ten?
30
Let f be 22 - -1869974 - (-2 + -3 - -1). Round f to the nearest 100000.
1900000
Let n = 40 + -40.000018. Round n to 5 decimal places.
-0.00002
Let l = 4.0000034 - 4. What is l rounded to 6 dps?
0.000003
Let r = 17415 - 91081. Let q = -153666 - r. Round q to the nearest ten thousand.
-80000
Let l = 13 - 12.9999875. What is l rounded to six dps?
0.000013
Let j(b) = 11*b**2 - b - 6. Let p be j(-6). Let z = -116 + p. Round z to the nearest 100.
300
Suppose 0*d + 50000000 = 4*d. What is d rounded to the nearest 1000000?
13000000
Let b = -0.135 - -85.95. Let k = b + -86. What is k rounded to two dps?
-0.19
Let b(k) = k**3 - 6*k**2 + 7*k - 6. Let w be b(5). Let f(v) = -v**3 + 4*v**2 - v + 2. Let u be f(w). Let m be -8*(u - -22)*3750. Round m to the nearest 1000000.
-1000000
Let f be ((-3)/(-4))/(1/260). Suppose b = -0*b - f. What is b rounded to the nearest 10?
-200
Let m(c) = -c**3 + 7*c**2 - 5*c + 8. Let i be m(6). Suppose 2*z + i = -0*z. Let r be (-2)/z - (-2835010)/(-35). What is r rounded to the nearest ten thousand?
-80000
Let o = -4064 - -8860. Suppose 3*d + 8920 = 2*z - 5482, o = -d - 4*z. Let w be 10/(-2 + (-9597)/d). What is w rounded to the nearest 10000?
-20000
Let a = -403.263 + 417.6. Let j = a + -0.137. Let g = j + -14.2000118. What is g rounded to 6 decimal places?
-0.000012
Let n = 2.22 + 0.48. Let j = n - 2.6999978. Round j to 6 dps.
0.000002
Let p = -0.0400128 - -0.04. Round p to 6 dps.
-0.000013
Let j = -0.53 - 17.17. Let m = j - -9.8. What is m rounded to the nearest integer?
-8
Let y be (1*-1)/(-6 + 5). Let i(c) = -62*c + 1. Let t be i(y). What is t rounded to the nearest ten?
-60
Let j = -1171.18 + 1180.9907. Let n = -8.4 + -1.4. Let p = n + j. What is p rounded to 3 decimal places?
0.011
Let t = 103 - 94.4. Let l = 8.59999873 - t. What is l rounded to seven dps?
-0.0000013
Let h = 80 - 44. Let n = h + -40.9. What is n rounded to the nearest integer?
-5
Let m = 0.04 - 0.04. Let z = m - 0.37. What is z rounded to 1 dp?
-0.4
Let f = -17645.94 + 17868. Let s = -73.03 + f. Let u = 148 - s. Round u to one decimal place.
-1
Let y = -4 + 6. Suppose -2*k = 3*u - 189006, u = y*u + k - 63003. What is u rounded to the nearest ten thousand?
60000
Let l = 0.040063 - 0.04. Round l to five decimal places.
0.00006
Let u = -126.9 - -137. Let p = 3.9 - u. Let i = -5.12 - p. What is i rounded to one dp?
1.1
Let b = 1.9299 + -1.92. What is b rounded to 3 decimal places?
0.01
Let o = 592 + -329. Suppose o = -3*h - 70. What is h rounded to the nearest 10?
-110
Let i = 2200966.99957 - 2200907. Let p = -60 + i. Round p to 4 dps.
-0.0004
Let a = 67287318 + -67287386.0000185. Let m = a + 68. Round m to six decimal places.
-0.000019
Let b = -2.392 - -0.661. Let i = b + 0.081. Let d = 0.25 - i. Round d to the nearest integer.
2
Let x = -48032.39 + 48084.38909. Let y = x - 52. Round y to four dps.
-0.0009
Let j = 0.56 - 0.06. Let x = -1 + j. Round x to zero decimal places.
-1
Let o = 1430048101 - 1430048130.00000052. Let r = -29 - o. What is r rounded to seven dps?
0.0000005
Let t = 1.800088 + -1.8. Round t to 5 decimal places.
0.00009
Let r = -0.08 + -0.026. What is r rounded to 2 dps?
-0.11
Let o = -207.999998575 + 208. What is o rounded to seven dps?
0.0000014
Let x be 5282/8 - (-10)/(-40). Suppose 2 = 3*k + 4*w - 16, -w = 4*k - 11. Let r be (x/9)/(k/30). What is r rounded to the nearest one thousand?
1000
Let i = -19879 + 17592.8. Let l = i + 2286.39998. Let s = 0.2 - l. What is s rounded to four decimal places?
0
Let g = -12.3 + 12.300922. Let y = g + -0.001. What is y rounded to five decimal places?
-0.00008
Let q be -14*(-4)/(-8)*-179. Let w = q + -703. What is w rounded to the nearest 100?
600
Let h be 376*1/((-10)/125). Round h to the nearest 10000.
0
Let z = 123264.854531227 + 27829910.145475573. Let i = -27953215 + z. Let w = i - -40. Round w to 6 decimal places.
0.000007
Let g = 0.103667308 - -117837.845332692. Let v = -117929 + g. Let i = 91 + v. What is i rounded to two dps?
-0.05
Let s = -102887 + 26887. Round s to the nearest 10000.
-80000
Let d = 156782.99856 + -156797. Let i = -14.19 + 0.19. Let g = i - d. Round g to 4 decimal places.
0.0014
Suppose -10 = -5*i - 4*k - 2, -6 = i - 3*k. Suppose i = -0*q + 2*q. What is q rounded to the nearest one hundred?
0
Let n(k) = 649999*k**3 + k**2 + 2*k. Suppose 0 = 3*u - 28 + 10. Let c = u - 4. Let j be n(c). What is j rounded to the nearest 1000000?
5000000
Let l = 2.7 + -2.70000035. What is l rounded to 7 dps?
-0.0000004
Let g = 7168.2 - 7135.0644. Let l = 33.13059947 - g. Let t = -0.005 - l. Round t to seven decimal places.
0.0000005
Let h = 84 - 84.69. Let s = -0.66 + h. Let z = s - 8.55. Round z to 0 dps.
-10
Let d(f) = 126*f - 2. Let l be d(2). What is l rounded to the nearest one hundred?
300
Suppose -3
|
{
"pile_set_name": "DM Mathematics"
}
|
*c**3*u**3 - 85*c**2*u**3 + 14*c**2*u - c*u**3 wrt c?
138384*u**3
What is the third derivative of 4*b*t**4 - 13*b*t**2 + 246*t**4 - 38*t**2 wrt t?
96*b*t + 5904*t
Find the third derivative of 390*y**6 - 116*y**2.
46800*y**3
What is the second derivative of 9*r**3 + 28*r**2 + 529*r wrt r?
54*r + 56
Differentiate 667*l**3 + 817.
2001*l**2
Differentiate 2*m**3 - 415*m**2 - 468 with respect to m.
6*m**2 - 830*m
Differentiate 6*n**3*u**3 + 12*n**3 + 186*n**2 + 328*u**3 with respect to u.
18*n**3*u**2 + 984*u**2
Differentiate 12*i**2*t - 3*i**2 + i*t**2 - 391*t**2 + 1 with respect to i.
24*i*t - 6*i + t**2
Find the third derivative of -1113*d**3*j + d**3 + 2*d**2*j + 13*d**2 - 7*d - 31 wrt d.
-6678*j + 6
What is the first derivative of -105*m**3 - 17*m - 155 wrt m?
-315*m**2 - 17
What is the derivative of 2*q**2*t*x - 2*q**2*x - 3*q*t*x - 7*q*x + t**2*x - 2*t**2 - 2*x wrt t?
2*q**2*x - 3*q*x + 2*t*x - 4*t
Find the first derivative of 2167*z**4 - 2687.
8668*z**3
Find the first derivative of 775*j**2 + 718.
1550*j
Find the third derivative of 498*i**6 + 2175*i**2 wrt i.
59760*i**3
Find the third derivative of -4133*b**6 + 4645*b**2 wrt b.
-495960*b**3
Differentiate -46*v**3 - 145.
-138*v**2
What is the third derivative of -3*o**3*q**3 - 28*o**3*q**2*x**3 + 80*o**2*q**3*x**2 - 44*o*q**3*x**3 - 14*q**3*x**2 wrt x?
-168*o**3*q**2 - 264*o*q**3
Find the second derivative of 176*w**2 + 67*w + 4 wrt w.
352
Find the third derivative of -2229*s**3 - 9117*s**2 wrt s.
-13374
What is the derivative of -5*j**2 - 12*j - 183 wrt j?
-10*j - 12
Differentiate 33*r + 675 wrt r.
33
What is the first derivative of 18*j**4 + 3*j**2 + 101 wrt j?
72*j**3 + 6*j
Find the third derivative of -327*s**3*y**3 + s**3*y**2 + 3*s**3 + 8*s wrt y.
-1962*s**3
What is the second derivative of -16*n*q**2 + 377*n*q - 3*q**2 wrt q?
-32*n - 6
What is the second derivative of -688*h**5 - 103*h?
-13760*h**3
What is the third derivative of -170*c**4 - 269*c**2 wrt c?
-4080*c
What is the second derivative of 755*w**2 + 494*w + 2?
1510
Find the second derivative of 4*l*p**3 - 22*l*p**2 - 99*l*p + 13*l wrt p.
24*l*p - 44*l
What is the derivative of 2*m**4 - 7*m**3 - 4*m + 2186 wrt m?
8*m**3 - 21*m**2 - 4
What is the derivative of -2*h*i**2*x + 2*h*i**2 - 55*h*x + 176*i*x**2 - 2*x**2 wrt i?
-4*h*i*x + 4*h*i + 176*x**2
Find the second derivative of 743*f**2*p*s**2 - 2*f**2*p*s + 2*f*p + 3*f + 2*p*s**2 + 2*p wrt f.
1486*p*s**2 - 4*p*s
Differentiate -2*g*r**2 + 11*g*r + 10301*g + 39*r**2 + 2*r with respect to r.
-4*g*r + 11*g + 78*r + 2
Find the second derivative of 3561*g**3*q**2 - 41*g**3*q + 2*g**3 - q**2 + 27 wrt q.
7122*g**3 - 2
Find the first derivative of -2*i*m*y**2 + i*m*y + 53*i*m + 2*i - y**2 + 9 wrt m.
-2*i*y**2 + i*y + 53*i
Differentiate 81*x + 97 with respect to x.
81
Find the third derivative of -4*l**5*x - 16*l**3*v*x - 2*l**2 - 115*l*x + v*x + x wrt l.
-240*l**2*x - 96*v*x
Find the second derivative of 35*t**4*w**2 + 39*t**4*w - t**2 + 321*t - 2*w**2 wrt t.
420*t**2*w**2 + 468*t**2*w - 2
Find the second derivative of -501*r**5 + 2*r**4 + 2*r**2 + 6756*r + 1.
-10020*r**3 + 24*r**2 + 4
Find the third derivative of -x**5 + 8*x**3 + 40*x**2 + 4 wrt x.
-60*x**2 + 48
What is the second derivative of 126*t**3*w**4 + 431*t**3 - 8*w**4 - 3*w wrt w?
1512*t**3*w**2 - 96*w**2
Find the third derivative of -2388*k**4 + 3559*k**2 wrt k.
-57312*k
What is the first derivative of l**3 - 7155*l**2 + l + 8021?
3*l**2 - 14310*l + 1
What is the second derivative of 85*l**5 + 8288*l?
1700*l**3
What is the first derivative of 33*h**2 - 202 wrt h?
66*h
Differentiate -128*w**2 - w + 104 wrt w.
-256*w - 1
What is the derivative of -4*m**4 + 65*m - 1010 wrt m?
-16*m**3 + 65
What is the third derivative of -2*a**3*r**2*z**3 + a**3*r*z**3 - 7*a**2*r*z**3 + a**2*r*z**2 + a*z - 4*r**2 wrt a?
-12*r**2*z**3 + 6*r*z**3
Find the first derivative of -24*b*f**2 - 67*b*f - 69*f**2 - f wrt b.
-24*f**2 - 67*f
What is the third derivative of -2260*j**6 + 4103*j**2 wrt j?
-271200*j**3
Find the second derivative of -3323*f**2 + 362*f.
-6646
Find the third derivative of -265*a**3 - 9*a**2 - 2 wrt a.
-1590
What is the second derivative of -3402*s**4 - 4634*s - 2?
-40824*s**2
Differentiate 2*x**3 - 6*x**2 + 237 with respect to x.
6*x**2 - 12*x
What is the derivative of -426*d**2*g*p**3 + 13*d
|
{
"pile_set_name": "DM Mathematics"
}
|
m.
9
Express a**3 - 2*a**3 + 2 + 3*a**3 + 3*a**4 as s*a + h*a**3 + y*a**4 + q*a**2 + x and give x.
2
Express 4*i - 7*i + 4 + 2*i + 4*i as s*i + g and give s.
3
Rearrange v**3 - v**2 + v**2 + (0*v - v - v)*(v - v - 2*v**2) to the form h*v**3 + d*v**2 + n + u*v and give u.
0
Rearrange -2*n**2 + 37*n**4 - n + 2*n**3 + 0*n**3 - 2 - 41*n**4 to the form p + m*n + g*n**4 + t*n**2 + s*n**3 and give t.
-2
Rearrange (-5 - s + 3 + 3)*(2*s - 10*s - 4*s) to the form z*s + p + g*s**2 and give g.
12
Express (-4*q - 11 + 11)*(-3 + 3 + 2)*(-4*q - 2*q + q)*(2*q - 5 + 5) in the form j*q + n*q**3 + w*q**2 + x and give n.
80
Express -2*j + 0 + 0 + (-3*j + 4*j - 3*j)*(-1 - 4 + 3) + 16 - 10 - 3 - 18*j in the form w + y*j and give w.
3
Rearrange -65 - r**2 + 1458*r - 1458*r to u*r + a + s*r**2 and give s.
-1
Express -5*k**3 - 11*k**2 + 9*k**2 + 6 + 6*k**3 as c*k**2 + n*k**3 + a + v*k and give c.
-2
Express 2 - 10 - 6*g + 8 as y + r*g and give r.
-6
Rearrange 2*b + 58 + 60 - 123 to g + f*b and give g.
-5
Express -9*t + 0 - 2*t**4 + t**3 - 2 + 3 - 2*t**2 as v + n*t**3 + d*t + i*t**4 + r*t**2 and give v.
1
Express -112*b + 12*b**2 + 112*b as f + y*b + n*b**2 and give f.
0
Express 4*c - c**2 + 2*c - 8*c in the form i*c**2 + r*c + t and give r.
-2
Rearrange 43*m**2 - 85*m**2 + 2*m**3 - 2*m + 41*m**2 to f + u*m + y*m**3 + h*m**2 and give u.
-2
Rearrange ((0 - 2*a + 0)*(2 + 0 - 1) - 2*a + 5*a - 13*a)*(-a + 2*a - 3*a) - 4*a**2 + 5 - 5 to the form t + i*a**2 + c*a and give i.
20
Express (3 - 2*t - 3)*(-3 + 0 - 1 - 3 + 0 + 2 + (-1 - 1 + 0)*(1 - 3 + 0) - 5 + 3 + 1 - 3 + 1 + 4 + 4 + 0 - 2) as n*t + v and give n.
-4
Rearrange 0*l - l**2 + 0*l**2 + 4*l**3 - l**3 + 4*l to i + g*l**2 + p*l**3 + w*l and give w.
4
Express -13*j - 19*j - j in the form i + c*j and give c.
-33
Rearrange -2 - 40*d - 39*d + 58*d to u + g*d and give u.
-2
Express ((-3*r + 3*r + 2*r)*(-2 - 2 + 3) - 4*r + 4*r + r)*(-60 + 64 + 28) in the form n + g*r and give n.
0
Express (2*x + x - x)*(-3*x - 2*x + 2*x + (-1 - 2 - 1)*(2 - x - 2)) as h + s*x + n*x**2 and give n.
2
Rearrange 0*b**4 - b**4 + 0*b**4 - 3*b**4 - b**4 + 3*b**4 + (2*b - 7*b + 3*b)*(b**3 + 0*b**2 + 0*b**2) to l*b + f + o*b**2 + y*b**3 + t*b**4 and give t.
-4
Rearrange (g - 2*g - g)*(-1 + 5 - 2)*(2 + 0 + 0) to the form o*g + t and give o.
-8
Rearrange -240 + 240 - 3*a**2 + 25*a to l*a + r + m*a**2 and give m.
-3
Express -3*f**3 + 5*f**3 - 2*f**3 - 1 + 2*f + 3*f**2 - f**3 as r*f**3 + c + o*f + u*f**2 and give r.
-1
Rearrange 9 - 3 + 2*r**2 + 6 to the form h + i*r**2 + o*r and give i.
2
Rearrange -5*p**3 - 12*p**4 - 6*p**4 + 17*p**4 - p**2 - p - 2 to k*p**2 + n*p**4 + j*p + c*p**3 + d and give n.
-1
Express (-4*q - 2*q + 4*q)*(q**3 + 3*q - 3*q) + (-q**2 + 4*q**2 - q**2)*(5*q**2 + 3*q**2 + 2*q**2) as u*q**3 + s*q + a*q**4 + h + i*q**2 and give a.
18
Express 4*k - 4*k - 2*k**3 + (-k**3 + 0*k**3 - k**3)*(-1 + 3 + 0) + (-2 - 4 + 3)*(5*k**3 - k**3 - 3*k**3) as c*k**2 + d*k**3 + x + u*k and give d.
-9
Rearrange -7537 + 335*u**4 + 7537 + (-2 + 1 + 2)*(2*u**4 + 0*u**4 - u**4) to the form i*u**4 + a + n*u**2 + q*u**3 + c*u and give i.
336
Rearrange -11 - 3*h**2 + h**4 + 2*h**3 + 7 + h + 5 - 3*h**2 to a + d*h**3 + v*h + y*h**2 + q*h**4 and give a.
1
Rearrange (-15 + 316 - 42)*(s**3 + 3 - 3) to the form t*s**2 + d*s + w*s**3 + f and give w.
259
Rearrange -65*u - 25*u + 19*u to the form n*u + i and give n.
-71
Express 0*t**3 - 5*t**3 + 0*t**3 + (2*t**2 - t**2 - 2 + 1)*(0*t + t - 2*t) in the form y*t + x + w*t**2 + a*t**3 and give a.
-6
Express -7*q + 3*q + q + (-1 + 3 - 3)*(-q - 2*q + 5*q + 5 - 5 - 2*q + (1 - 5 + 3)*(q - 2*q + 3*q)) as s*q + c and give s.
-1
Rearrange -72*i + 6 - 6 + 115*i to w*i + b and give w.
43
Rearrange 7*f**2 - 8*f**3 - f**2 - 6*f**2 + 2*f**2 to the form v + a*f + n*f**2 + s*f**3 and give n.
2
Express 664*y + 6*y**2 - 2*y**3 + 7 - 665*y - 2*y**2 as g*y**3 + p*y + u*y**2 + m and give u.
4
Express (5 - 1 + 0)*(3*k**3
|
{
"pile_set_name": "DM Mathematics"
}
|
PM
How many minutes are there between 3:04 PM and 10:13 PM?
429
How many minutes are there between 9:16 PM and 3:10 AM?
354
How many minutes are there between 10:34 PM and 5:37 AM?
423
What is 315 minutes after 8:51 PM?
2:06 AM
What is 520 minutes after 3:40 AM?
12:20 PM
How many minutes are there between 3:01 AM and 10:27 AM?
446
What is 121 minutes after 7:08 AM?
9:09 AM
How many minutes are there between 12:50 PM and 10:02 PM?
552
What is 42 minutes after 7:02 AM?
7:44 AM
How many minutes are there between 1:11 PM and 2:14 PM?
63
What is 264 minutes before 12:03 AM?
7:39 PM
What is 266 minutes before 9:29 AM?
5:03 AM
How many minutes are there between 4:09 PM and 3:55 AM?
706
What is 588 minutes before 6:10 AM?
8:22 PM
What is 401 minutes after 6:55 PM?
1:36 AM
What is 463 minutes after 3:08 AM?
10:51 AM
How many minutes are there between 3:15 PM and 6:16 PM?
181
How many minutes are there between 1:47 PM and 9:33 PM?
466
What is 559 minutes after 4:34 PM?
1:53 AM
What is 341 minutes after 6:03 PM?
11:44 PM
What is 315 minutes after 5:19 PM?
10:34 PM
What is 663 minutes before 2:20 AM?
3:17 PM
What is 643 minutes before 7:49 AM?
9:06 PM
How many minutes are there between 6:49 PM and 4:46 AM?
597
How many minutes are there between 2:12 AM and 12:01 PM?
589
How many minutes are there between 7:38 AM and 10:14 AM?
156
How many minutes are there between 10:32 AM and 9:35 PM?
663
How many minutes are there between 5:56 AM and 11:55 AM?
359
What is 255 minutes after 6:38 AM?
10:53 AM
How many minutes are there between 4:51 AM and 5:33 AM?
42
What is 33 minutes after 7:32 PM?
8:05 PM
What is 59 minutes after 10:58 PM?
11:57 PM
How many minutes are there between 4:36 AM and 11:15 AM?
399
What is 657 minutes after 4:43 PM?
3:40 AM
What is 82 minutes before 10:00 AM?
8:38 AM
What is 332 minutes after 8:09 AM?
1:41 PM
How many minutes are there between 5:01 AM and 12:09 PM?
428
What is 702 minutes after 1:59 PM?
1:41 AM
How many minutes are there between 4:34 AM and 5:25 AM?
51
How many minutes are there between 10:04 AM and 6:15 PM?
491
How many minutes are there between 7:31 AM and 9:39 AM?
128
How many minutes are there between 5:25 PM and 7:02 PM?
97
How many minutes are there between 10:55 PM and 5:45 AM?
410
How many minutes are there between 9:15 PM and 7:12 AM?
597
How many minutes are there between 12:33 PM and 3:56 PM?
203
How many minutes are there between 12:39 AM and 9:29 AM?
530
How many minutes are there between 7:59 AM and 6:38 PM?
639
How many minutes are there between 8:36 PM and 7:17 AM?
641
How many minutes are there between 10:03 AM and 9:50 PM?
707
What is 204 minutes before 2:18 AM?
10:54 PM
How many minutes are there between 8:48 AM and 2:09 PM?
321
How many minutes are there between 9:32 AM and 2:37 PM?
305
What is 251 minutes after 6:43 AM?
10:54 AM
What is 27 minutes after 1:27 AM?
1:54 AM
How many minutes are there between 12:40 PM and 10:08 PM?
568
What is 488 minutes after 5:54 PM?
2:02 AM
How many minutes are there between 1:32 PM and 6:41 PM?
309
What is 595 minutes before 3:34 AM?
5:39 PM
What is 535 minutes before 5:34 PM?
8:39 AM
How many minutes are there between 10:11 AM and 9:12 PM?
661
How many minutes are there between 2:16 PM and 2:58 PM?
42
How many minutes are there between 6:05 AM and 6:44 AM?
39
How many minutes are there between 1:12 AM and 10:10 AM?
538
What is 25 minutes after 12:32 PM?
12:57 PM
What is 400 minutes before 9:24 AM?
2:44 AM
How many minutes are there between 10:56 AM and 4:24 PM?
328
How many minutes are there between 11:22 AM and 3:20 PM?
238
What is 679 minutes before 3:32 AM?
4:13 PM
What is 592 minutes before 10:40 PM?
12:48 PM
How many minutes are there between 9:40 AM and 1:43 PM?
243
What is 589 minutes before 5:31 AM?
7:42 PM
How many minutes are there between 4:23 AM and 7:16 AM?
173
How many minutes are there between 4:17 AM and 3:18 PM?
661
How many minutes are there between 4:11 AM and 3:51 PM?
700
How many minutes are there between 4:14 AM and 11:04 AM?
410
What is 691 minutes after 8:11 PM?
7:42 AM
How many minutes are there between 10:16 PM and 9:13 AM?
657
How many minutes are there between 12:48 AM and 1:42 AM?
54
What is 709 minutes after 1:35 AM?
1:24 PM
How many minutes are there between 4:50 AM and 6:33 AM?
103
How many minutes are there between 8:33 PM and 12:29 AM?
236
How many minutes are there between 6:32 PM and 9:12 PM?
160
How many minutes are there between 4:02 PM and 11:26 PM?
444
How many minutes are there between 5:24 PM and 7:24 PM?
120
How many minutes are there between 1:05 PM and 9:55 PM?
530
What is 35 minutes before 2:16 PM?
1:41 PM
What is 102 minutes after 2:35 PM?
4:17 PM
How many minutes are there between 5:50 PM and 4:45 AM?
655
What is 130 minutes after 2:00 AM?
4:10 AM
What is 153 minutes before 9:19 PM?
6:46 PM
How many minutes are there between 6:21 AM and 3:41 PM?
560
What is 148 minutes before 5:07 AM?
2:39 AM
How many minutes are there between 6:44 AM and 9:59 AM?
195
What is 641 minutes before 11:16 AM?
12:35 AM
How many minutes are there between 6:45 AM and 11:05 AM?
260
How many minutes are there between 10:28 AM and 6:16 PM?
468
How many minutes are there between 10:20 PM and 9:24 AM?
664
What is 135 minutes before 6:15 AM?
4:00 AM
What is 184 minutes after 6:39 AM?
9:43 AM
How many minutes are there between 3:06 PM and 1:29 AM?
623
What is 42 minutes after 6:28 AM?
7:10 AM
How many minutes are there between 9:01 AM and 6:42 PM?
581
How many minutes are there between 2:59 PM and 3:53 PM?
54
What is 624 minutes after 11:22 PM?
9:46 AM
How many minutes are there between 9:53 PM and 1:20 AM?
207
What is 394 minutes before 3:24 AM?
8:50 PM
How many minutes are there between 7:30 AM and 1:46 PM?
376
What is 11 minutes before 2:12 AM?
2:01 AM
What is 123 minutes after 9:35 AM?
11:38 AM
What is 595 minutes after 6:55 AM?
4:50 PM
How many minutes are there between 12:23 PM and 12:00 AM?
697
What is 546 minutes before 12:05 AM?
2:59 PM
How many minutes are there between 1:23 PM and 1:07 AM?
704
What is 405 minutes before 2:33 AM?
7:48 PM
How many minutes are there between 1:52 AM and 12:53 PM?
|
{
"pile_set_name": "DM Mathematics"
}
|
Is i(-5) a prime number?
True
Let w(i) = 174*i - 1. Suppose -2 = -3*q + 4. Is w(q) a composite number?
False
Let c = -3602 + 8197. Is c prime?
False
Let h = 38 + -62. Is ((-4)/(-6))/(h/(-14724)) prime?
True
Let k be (-830)/(-9 - -4) + -3. Let s = 28 + k. Is s a composite number?
False
Let r(h) = -1218*h + 1. Is r(-1) composite?
True
Suppose -3*k + 495 = -8*k. Let b = -482 - k. Is b/(-2) - (-2)/(-4) a composite number?
False
Suppose 8*r = -0*r + 16. Is r*3/(-6)*(0 - 346) a composite number?
True
Let w = -10336 + 18255. Is w a composite number?
False
Let u(q) = 437*q - 43. Is u(36) a composite number?
True
Is ((-72)/48)/(12/(-60856)) prime?
True
Let o = 73954 + -50451. Is o a composite number?
True
Let d = 5 + 4. Let g = d - 7. Suppose c = -2*c - g*z + 168, -2*c + 110 = 2*z. Is c composite?
True
Suppose -o - 275978 = -35*o. Is o composite?
False
Let r(f) = 45*f**2 - 11*f + 9. Suppose 4 + 7 = v. Let u be r(v). Let a = u + -3750. Is a a composite number?
False
Is (1/2)/((-5)/(-2870)) - -2 a prime number?
False
Suppose -6888 = 4*p + 2*s - 17980, 0 = -2*p + 2*s + 5534. Is p composite?
True
Let j(p) = -p**3 - 11*p**2 - 9*p - 16. Let s be j(-11). Suppose -s*v - 5855 = -88*v. Is v a prime number?
True
Let t = 2444 + -1441. Is t a prime number?
False
Let g = -4110 + 7517. Is g composite?
False
Let g be 57/(-3 + (-954)/(-316)). Suppose 5*r - g = 1433. Is r prime?
True
Suppose 5 = j + 2*w - 5, -3*j = -2*w + 2. Suppose j*s + 219 = s. Let t = s - -518. Is t composite?
True
Let d(c) = -c**2 - 7. Let a be d(6). Let z = a + 64. Is z prime?
False
Suppose 8*n = 4*n + 12. Is ((-14)/4)/(n/(-138)) prime?
False
Suppose -158415 = z - 6*z - 2*u, -5*z = 4*u - 158405. Is z a prime number?
False
Let h(o) = -2*o**2 - 12*o + 12. Suppose -25 = 8*g - 3*g. Is h(g) composite?
True
Suppose -i = -1, 5*h = -i - 2*i - 97. Let z = h + 129. Is z composite?
False
Let k = -40 - -28. Is (-226)/4*(k - (3 - 1)) prime?
False
Is -1*-7126*(-8)/(-16) composite?
True
Let o be 2 + (328 - (-2 - -2)). Let c = -3 + 3. Suppose -m + 6*m + x - o = c, -72 = -m + x. Is m composite?
False
Let q(t) = t**2 - 22*t + 24. Let p be q(21). Suppose -3*r = -5*f + r + 3127, 3124 = 5*f - p*r. Is f prime?
False
Suppose -4*y + 4*d + 78 = 3*d, 3*y + 4*d - 68 = 0. Let b = 64 + y. Suppose g = 59 + b. Is g a composite number?
True
Let w = -1657 - -10474. Is w a composite number?
True
Let s = 10 + -15. Let b(y) = y**2 + 5*y + 3. Let g be b(s). Is (1/g)/((-3)/(-3033)) a composite number?
False
Let m be (-14 + 16)/(2/(32/2)). Suppose -14*x = -m*x + 1114. Is x a composite number?
False
Let o(v) = -19*v**3 - 3*v**2 - 2. Let r be o(-4). Is 20/8 + -1 + r/4 a composite number?
False
Is 1670485/35 + (-30)/(-35) a composite number?
True
Is 3/(-1)*(3471/9)/(-1) a prime number?
False
Suppose 0 = -4*v + u + 3*u - 956, v + 3*u + 251 = 0. Let l = 1193 + v. Is l prime?
False
Suppose n = 2*n. Suppose 5*c + n*w - 2*w = 2235, 0 = -2*c + 3*w + 883. Is c prime?
True
Let t = 22 - 20. Let a(j) = 27*j**3 - 2*j - 1. Is a(t) composite?
False
Suppose -b - 3*b + 2051 = 3*n, 3*n + b - 2045 = 0. Is n a composite number?
True
Let t be -14 + 15 + (2 - 1). Suppose 4*d - z = 339, 5*z + 250 = -t*d + 5*d. Suppose 2*v - d = -y, -2*v = -2*y - 84 - 4. Is v a composite number?
False
Let g(l) = 9*l**2 - 4*l - 24. Let n(k) = -k**2 - 2*k + 15. Let p be n(-4). Is g(p) prime?
True
Let b be ((-6)/1 + 7)/(2/2442). Suppose -9*d = -6*d - b. Is d prime?
False
Suppose 63*z - 67*z = -3076. Is z composite?
False
Suppose 7*p - 83749 = 5*p - 3*h, -p + 41864 = 5*h. Is p composite?
False
Let b(r) = -r**3 + 9*r**2 + 5*r + 1. Let o be b(7). Suppose 4*k - k + 57 = 0. Let y = k + o. Is y a prime number?
False
Let l be (4 - -414) + -3 - (-2 + 0). Suppose -7*g = -l - 878. Is g composite?
True
Suppose -13 + 1 = 3*k. Let n be 1/k - (-2043)/(-36). Let v = 184 + n. Is v prime?
True
Suppose -3*l = -5*l + 4. Suppose -3*f - 1129 = -4*i - l*f, 0 = 5*i - 5*f - 1400. Let j = i - 186. Is j prime?
True
Let p be ((-2)/2)/1 + 7. Let t be (-8)/(-2 - (-9)/p). Suppose -2*y = -y + 4*b - 25, -y - b + t = 0. Is y a prime number?
True
Let k = -155 - -795. Suppose 1905 = 5*w - k. Is w a prime number?
True
Let g = -2259 - -4418. Is g a prime number?
False
Let m be ((-1)/5)/(8/(-40)). Let g be (0 - m) + 18/6. Suppose 5*y = -g*p + 384, -4*p - 5*y + 756 = -y. Is p a composite number?
True
Let f = -8 - -13. Suppose -f*q + 3*v = -8 - 39, -2*q = -v - 19. Let u = 95 - q. Is u a composite number?
True
Let r(l) = l**2 - 25*l + 49. Let i be r(23). Let z(j) = 116*j**2 + 5*j - 4. Is z(i) a composite number?
True
Let u = 14409 - -4110. Is u composite?
True
Suppose 0 = -3*m - 3 + 87. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let y = 1 + q. Which is the closest to 3? (a) -1/3 (b) 2/5 (c) y
c
Let a = -0.1 - -0.1. Let q be 6/(-2) + 5/1. Let m be q*(3/(-16))/(-3). What is the nearest to a in m, -1/2, 5?
m
Let n = -34 - -34. Let h be 1 + (0 - (-8)/(-7)). What is the closest to -3 in n, h, 0.5?
h
Let s = -82.4 + 90. Let p = 8 - s. Which is the closest to -1? (a) -3/5 (b) p (c) 4
a
Suppose 3*y - 17 = 4*x, 2*y + 7*x = 2*x - 27. Let v = -0.1 + 0.2. Let c be (-60)/20 + 13/4. What is the closest to y in v, c, 4?
v
Let h be (2/10)/((-4)/5). Let x(z) = z**3 - 9*z**2 - z + 9. Let g be x(9). What is the closest to g in -1/6, h, 5?
-1/6
Let r = 2.6 - 16.6. Let s = r - -16. What is the closest to 1 in s, 4, -0.3?
s
Suppose 167 = 3*u + 41. Let z be (4/u)/((-1)/(-3)). Which is the nearest to z? (a) 4 (b) 3 (c) 2
c
Let g = 0.09 - 0.19. Suppose 3*u + 10 = -5*n, 2*n + 0*n - u = -4. Let r be (2/2)/(17/(-2)). What is the nearest to g in r, -3, n?
r
Let o = -2/21 - -29/84. Let u = 1 + -0.7. What is the nearest to o in u, -2, -1/2?
u
Suppose 2*w - 1 + 5 = 0. Suppose 5*a - 19 = 4*x - 2, 5*x = a - 16. What is the closest to a in 2/15, w, -4?
2/15
Let r be -11 - (-4 + (-8)/(-4)). Let v be (-2)/(-4)*6/r. Let t be 4/2 + (-1 - -1). What is the nearest to v in 0.1, 4, t?
0.1
Let v = 3.06 - 0.06. Let d = 2.8 - v. Suppose -4 = -18*s + 22*s. What is the nearest to d in 4, 0.5, s?
0.5
Let x be ((-44)/275)/((-2)/(-10)). Let r = -5.03 - -0.03. Let s = -4 + 3.6. What is the closest to 1/4 in s, r, x?
s
Let f be (4/6)/((-2)/(-6)). Let j = 1.1 - 2. Let p = -0.1 + j. What is the nearest to 1/4 in f, -3, p?
p
Let h = -9/20 - -1/4. Let s be 7/(-12) - (-2)/8. Let d(l) = l**3 - l - 1. Let a be d(1). What is the closest to s in a, h, 5?
h
Let u be (1 + 3)/(-1 + -1). What is the closest to 3 in u, 0, -5?
0
Suppose -21 = -4*p - 5. Let i = p - -1. Let s = -10.1 - -10.6. Which is the closest to 2/3? (a) s (b) -1/2 (c) i
a
Let s be ((-18)/(-15))/(9/30). What is the nearest to 1/3 in 0, 3/7, s?
3/7
Let r = -35 - -34.7. What is the nearest to 0 in r, 13, 1?
r
Let f = -2.2 - -0.2. Which is the closest to 1? (a) f (b) 0.2 (c) -0.5
b
Suppose 3*f = 9, 6*f - 2*f - 10 = 2*l. Let m = -3.08 + 0.08. Let w = -3.2 - m. Which is the closest to 0? (a) l (b) w (c) 2/13
c
Let h = 61/4 + -15. What is the nearest to -1 in 0.1, h, -2/7?
-2/7
Let a = -1 + 0.1. Let t = a - -4.9. Suppose 4 = -5*m + 3*m. What is the nearest to 0.1 in t, m, -1?
-1
Let m(p) = -p**2 + p + 2. Let v(o) = -o**3 - 6*o**2 + o + 4. Let d be v(-6). Let r be m(d). Which is the closest to 1? (a) r (b) -3 (c) 0.4
c
Let s = 2.1 + 0.9. Suppose -6 = 5*f + 9. Let c be (-1)/f + (-24)/45. What is the closest to -1 in c, 1/7, s?
c
Let k(o) = o**3 + 4*o**2 + o + 5. Let t be k(-4). Let i be -1*2*10/99. Let v = i + 2/99. Which is the nearest to t? (a) -0.4 (b) v (c) 2/3
c
Let q = 19/80 - -1/80. Which is the nearest to 2? (a) q (b) -3 (c) -2
a
Let t = -15 - -15. Which is the closest to t? (a) 3/4 (b) -0.1 (c) 2/5
b
Let z = 1.17 - 0.17. Which is the nearest to z? (a) 0.5 (b) 2/13 (c) 0.2
a
Let q(i) = i**2 - 8*i + 7. Let o be q(6). Suppose -3*w = w - 12. Suppose m - 5*m - 4 = 0. What is the closest to 3 in o, w, m?
w
Let d be (-9)/(-15)*20/18. Which is the nearest to 1/2? (a) 1/5 (b) 3 (c) d
c
Let q be (-2)/3 - 24/(-63). Let d = -0.3 - 0.2. Let v = 4.5 - d. Which is the closest to 2? (a) q (b) -1/6 (c) v
b
Let p = -14 + 11. Which is the nearest to 4? (a) 2 (b) 2/5 (c) p
a
Let g be ((-4)/(-10))/(0 - -3). Let o(x) = x**2 + 8*x. Let q be o(-8). Let a = -2 - -3. What is the closest to q in g, a, 5?
g
Let p = -129/88 - -12/11. Let m = -41/33 - -21/11. Let y = 0.6 - 0.2. What is the nearest to m in p, 1/6, y?
y
Let f = 0.4 - 4.4. Let v = -6 + 2. What is the closest to f in v, -5, -1/8?
v
Let q = -80/21 + 22/7. Let y be 2*-1 + 36/8. Which is the closest to 0.1? (a) y (b) 1/2 (c) q
b
Let i = -3/4 - -1. What is the nearest to -0.1 in i, -9, -3?
i
Let p = 14.1 + -8.2. Let f = -6 + p. Which is the closest to 0.1? (a) -1 (b) f (c) -3
b
Let j = -0.7 + 1. Let g = -6 + 5.5. Let m = j + g. Which is the closest to 0? (a) -2 (b) 5 (c) m
|
{
"pile_set_name": "DM Mathematics"
}
|
15*j**2 + 14*j - 12. Is r(-5) prime?
True
Let r(c) = -3*c**2 - 5*c - 4. Suppose -4*k + 3*k - 2 = 0. Let g be r(k). Is (-2)/g + (-11102)/(-21) a prime number?
False
Let n be 24*(-1)/(-2)*2. Let y = n - 22. Is 709 + y + 0 - -2 a prime number?
False
Let a(v) = 107*v - 3. Let u be a(4). Suppose 4*j = -51 - u. Let h = j + 352. Is h composite?
False
Let r(y) = 1 - 4*y**2 - 28*y + 1 - 7*y**3 - 4 + 26*y. Is r(-3) a prime number?
True
Let u be 1/(-1*5/(-25)). Suppose -4*p + 14285 = u*f, -4*f + 0*p - 4*p = -11428. Is f a prime number?
True
Let t be -4 + 4 + 5 + -1. Let u be (t - 0) + 1/(-1). Suppose -o + 2*a + 173 + 60 = 0, -2*o + u*a + 461 = 0. Is o a composite number?
False
Let d(b) = 9518*b - 5. Is d(2) prime?
True
Suppose -9*n = -2 - 16. Suppose 3*r - 3269 = -2*g, -4*r + n*g + 1079 = -3*r. Is r a composite number?
False
Let s(i) = i**3 + 13*i**2 + i - 13. Let z = 33 + -45. Is s(z) a prime number?
False
Suppose 4*w + 28540 = 14*w. Is w composite?
True
Let l be 5/2*8/10. Let g be -1 + 2 + 1 + l. Suppose -5*v = -g*f + 450, -2*v = 3*v - 10. Is f prime?
False
Suppose 5*c + y = -2100, 4*y - 1278 = 3*c + y. Let w(x) = -6*x**2 + 9*x - 2. Let r be w(6). Let j = r - c. Is j a prime number?
True
Let n(j) = j + 18. Let f be n(-10). Let m be 5*2*4/f. Suppose 3*g - w - 224 = 2*g, -4*w - 1119 = -m*g. Is g a composite number?
False
Suppose -54*z + 41*z = -833417. Is z prime?
True
Suppose -18 = 4*m - 3*m. Let c be m/(-54) + 8/3. Suppose c*g + 732 - 2691 = 0. Is g prime?
True
Let g(q) = -q**3 - 4*q**2 + q + 4. Let n be g(-3). Is (-687)/(-9) - (n/(-6) - 2) a composite number?
True
Let x = 18 + -35. Let v = 322 - x. Is v a composite number?
True
Let a(u) = 234*u - 233. Is a(30) composite?
True
Let r(v) be the third derivative of -55*v**4/6 + 5*v**3/6 + 11*v**2. Is r(-2) a composite number?
True
Let d(p) = p**3 + 4*p**2 - 5*p + 4. Let o be d(3). Is o*(1 - (-532)/16) a composite number?
True
Suppose 0 = -u + 8357 - 610. Is u composite?
True
Let q(l) = -l**2 - 8*l - 13. Let x be q(-4). Suppose -x*y - y + 7604 = 0. Is y prime?
True
Suppose -46130 = -8*p + 19974. Is p composite?
False
Suppose -x - x - 36 = 0. Let b = 24 - 15. Is (-382)/x - 2/b composite?
True
Is (-1139)/(-7) - 36/(-126) composite?
False
Let p = -12 + 14. Suppose -2 = 2*v + p*t, 3*v + t = -3*t - 1. Let l(m) = 7*m**2 + 4. Is l(v) a composite number?
False
Let s(y) = 2600 - y**3 + 3*y**2 + 4*y**3 - 2589 - 2*y**3. Is s(5) a composite number?
False
Let b = 10 - 4. Is (-5 + b)/((-2)/(-50)) prime?
False
Let z(t) = -8*t**2 - 16*t + 5. Let i(h) = h**2 + h. Let s(u) = -6*i(u) - z(u). Is s(-11) a composite number?
False
Suppose -w + 4*t = 3*w - 142904, 3*w = -4*t + 107199. Is w a prime number?
True
Is (-8)/22 - 741897/(-187) a composite number?
False
Let b(i) = -2*i + 12*i - 10 - 7 + 3 + 2*i**2. Let f be b(-10). Suppose -f = -2*w + 224. Is w a composite number?
True
Let q(t) = 0*t + t + 2*t - 3 - 4*t. Let i be q(-5). Suppose i*h - 4*l = -6*l + 378, 4*h = 5*l + 720. Is h a composite number?
True
Let a be 2256/(30/(-24) + 2). Let m = -1335 + a. Is m composite?
True
Let q be 70/25 - (-16)/(-20). Suppose -3*o + b + 3506 = 0, 2*o + 2*o + q*b - 4668 = 0. Suppose -5*u = -1167 - o. Is u composite?
False
Let t(w) = 352*w - 117. Is t(11) composite?
True
Let t(l) = 23*l**2 - 11. Suppose 4*r + 12 = 32. Let y be t(r). Let z = y + -341. Is z a prime number?
True
Suppose 855 + 8515 = 5*s. Is s prime?
False
Suppose -9*l + 4*m + 96792 = -5*l, -m = -3*l + 72592. Is l composite?
False
Let l be (632 - -21) + 1*-2. Let u(b) = 6*b**3 - 5*b - 2. Let p be u(4). Let r = l - p. Is r a prime number?
False
Let l(a) = 2860*a + 1. Suppose 11 = 6*v + 5. Is l(v) composite?
False
Suppose 12 = 2*y + 4. Suppose -y*q + 1245 = -1635. Suppose -296 - q = -4*r. Is r composite?
True
Let n(b) = -113*b - 2 + 107*b - 3 - b**2. Let g be n(-4). Suppose -c + g*y + 3 = 0, -8*c = -3*c + 3*y - 15. Is c prime?
True
Suppose 3*h = 2*j - 17600, 8813 = -3*j + 4*j + 5*h. Is j prime?
True
Let j(k) = 61*k**3 - 1. Let o(a) = a**3 + 6*a**2 + 4*a + 5. Let x be o(-5). Let q be 21/6 - 15/x. Is j(q) prime?
True
Suppose 2*v + 2*q - 7 = -25, -2*q = v + 9. Is 318/v*(-2 + -1) a prime number?
False
Suppose -4*j + 28167 = 37*j. Is j prime?
False
Let k = -30 + 35. Suppose -k*i = -0*i - 4175. Is i a prime number?
False
Let a(c) = 6564*c**2 - 13*c - 21. Is a(-4) composite?
True
Suppose -53192 = -a - 3*h, -16*h + 20*h - 106378 = -2*a. Is a composite?
True
Let w(i) = -435*i - 43
|
{
"pile_set_name": "DM Mathematics"
}
|
(i) = 3*i**3 + 4*i**2 - 3*i - 12. What is g(-2)?
-14
Let x(h) = 2*h**3 + 25*h**2 - 15*h - 15. Give x(-13).
11
Let h(i) = i**3 + 6*i**2 - 55*i - 1. Calculate h(-11).
-1
Let z(s) = 2*s**3 + 35*s**2 + 17*s + 22. What is z(-17)?
22
Let j(v) = 2*v**3 + 127*v**2 - 65*v - 68. Give j(-64).
-4
Let t(j) = 51*j + 1. Calculate t(1).
52
Let j(h) = 3*h - 11. What is j(4)?
1
Let d(n) = 6*n + 76. Give d(-14).
-8
Let t(b) = b**3 + 3*b**2 - 4*b - 3. Give t(-4).
-3
Let u(h) = -h**2 + 7*h + 79. Determine u(-6).
1
Let p(t) = t**3 + 8*t**2 + t - 1. Give p(-8).
-9
Let k(p) = 6*p - 414. Determine k(71).
12
Let t(c) = 3*c**3 + 7*c**2 - c. Calculate t(-2).
6
Let p(t) = -2*t + 18. What is p(0)?
18
Let v(m) = -5*m - 16. Give v(-2).
-6
Let l(j) = 35*j**2 - 3*j - 2. Determine l(-1).
36
Let h(w) = -44*w**2 + 4*w - 6. Determine h(2).
-174
Let o(r) = -28*r. Calculate o(-3).
84
Let i(u) = u**3 - 8*u**2 + 20*u - 13. Determine i(4).
3
Let p(m) = m**2 + 2*m - 7. What is p(-6)?
17
Let i(t) = 5*t - 162. What is i(33)?
3
Let n(d) = 3*d + 14. Determine n(-3).
5
Let b(g) = -g**3 + 3*g**2 + 7*g + 9. Calculate b(5).
-6
Let s(d) = d**3 - 7*d**2 + 8*d - 120. What is s(8)?
8
Let o(m) = m**3 + 8*m**2 - 11*m + 2. Give o(-9).
20
Let o(l) = -41*l**2 + l - 1. Calculate o(1).
-41
Let k(t) = -t**2 + 13*t + 17. Determine k(14).
3
Let h(m) = -10*m + 3. What is h(-3)?
33
Let r(a) = 35*a + 951. Give r(-27).
6
Let k(c) = c**3 - 3*c**2 - 2*c - 1. Determine k(-2).
-17
Let i(a) = a + 8. Give i(-4).
4
Let c(j) = -3*j**2 + 8*j - 1. Determine c(6).
-61
Let k(z) = 2*z - 26. Give k(18).
10
Let z(i) = i**3 - 5*i**2 - 8*i + 9. Give z(6).
-3
Let s(o) = 2*o + 21. Determine s(0).
21
Let g(c) = -c**3 - 9*c**2 - 11*c - 29. Give g(-8).
-5
Let s(a) = -a**2 + a - 51. What is s(6)?
-81
Let b(r) = r**3 + 9*r**2 + 2*r + 12. What is b(-9)?
-6
Let i(c) = -2*c - 35. Calculate i(-18).
1
Let b(q) = -2*q**2 + 3*q - 4. Determine b(-3).
-31
Let y(b) = 3*b**2 - 10*b + 34. What is y(3)?
31
Let b(p) = p**3 + 11*p**2 - 22*p + 28. What is b(-13)?
-24
Let t(n) = -n**3 + 3*n**2 - 3*n + 2. Determine t(2).
0
Let s(l) = -7*l - 1. Calculate s(12).
-85
Let n(s) = 2*s. What is n(-4)?
-8
Let y(z) = z**3 - 8*z**2 - 9*z. Calculate y(9).
0
Let y(u) = u. Determine y(-7).
-7
Let u(x) = 3*x**2 - 12*x + 6. Give u(3).
-3
Let x(s) = s**3 + 6*s**2 + 14*s + 17. Calculate x(-3).
2
Let g(n) = -17*n**2 + 2. Give g(-2).
-66
Let t(s) = s**2 - 8*s - 25. Give t(11).
8
Let g(f) = 2*f + 2. Give g(9).
20
Let u(a) = -2*a + 13. Give u(8).
-3
Let d(f) = 2*f + 64. Calculate d(0).
64
Let v(x) = -x**3 - 25*x**2 - 3*x - 62. Give v(-25).
13
Let f(g) = g**2 + 14*g + 29. Determine f(-12).
5
Let w(y) = y**3 + 6*y**2 + 2*y + 8. Give w(-6).
-4
Let x(l) = -4*l + 8. Determine x(-8).
40
Let m(p) = -27*p**3 + p**2 - p - 1. Calculate m(-1).
28
Let p(o) = -o**2 + 21*o - 12. Give p(20).
8
Let v(d) = d**3 - 7*d**2 + 5*d - 1. Calculate v(6).
-7
Let z(p) = 4*p**2 + 6*p + 2. Determine z(-4).
42
Let a(t) = t**3 - 2*t**2 - 8*t. What is a(4)?
0
Let m(w) = -w**3 - 10*w**2 - 9*w - 11. Determine m(-9).
-11
Let n(w) = 4*w + 32. Calculate n(8).
64
Let g(j) = 104*j - 412. Calculate g(4).
4
Let w(f) = 25*f**3 - f**2 + 1. Give w(1).
25
Let u(q) = q**3 - 16*q**2 + 26*q + 32. Calculate u(14).
4
Let d(o) = -7*o**2 - o + 5. What is d(-3)?
-55
Let g(l) = 11*l - 1. Give g(3).
32
Let x(a) = a + 9. Calculate x(6).
15
Let c(w) = 2*w**3 - 7*w**2 + 2*w - 3. What is c(3)?
-6
Let g(i) = i**2 + 6*i - 7. Give g(2).
9
Let u(s) = -s**2 + 12*s - 1. Determine u(12).
-1
Let a(q) = q**2 + 14*q + 7. What is a(-15)?
22
Let b(k) = k**3 + 7*k**2 - 5*k + 3. Give b(-8).
-21
Let q(m) = -m**2 - 5*m + 7. Give q(-6).
1
Let a(x) = x**3 + 2*x**2 - 12*x + 17. Calculate a(-6).
-55
Let f(l) = -5*l**3 - 2*l**2 - l + 2. Calculate f(
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the third biggest value in 1/4, p, f, -0.8?
f
Let w = -65 + 180. Let k = -691/6 + w. Let q = 1451/9 - 161. Which is the biggest value? (a) q (b) -2/9 (c) k
a
Let u = -121.6 - -122. Let g = -70.9 - -71. What is the second biggest value in u, -4, g, -1.5?
g
Let i = 32494 - 33900. What is the third smallest value in -1, i, -2?
-1
Let s = -2511 + 2509.021. Let d = 0.0011 - 0.0221. Let n = d + s. What is the second smallest value in 0.4, 4, 0, n?
0
Let o = 12064 + -12068. What is the third biggest value in -0.1, -86, -13, o?
-13
Let g = -26502 - -26506. What is the fourth biggest value in -6, 11, -5, g?
-6
Suppose 641*j - 636*j + 10 = 0. Let p be (j*(-3)/(-276))/(1/(-4)). Which is the second smallest value? (a) p (b) 6 (c) 1/4
c
Let r = 277 - 313. Let b be r/8 + 2 + 2 - 0. What is the smallest value in b, 31, 0.2?
b
Suppose 48*o - 8*o + 482 = -4198. Which is the third smallest value? (a) o (b) 1 (c) -3
b
Let w = 26789.5 + -26788. Which is the third smallest value? (a) -2 (b) 12 (c) w (d) 5
d
Let u be (-3 - (-2 + -2)) + (-8)/(-1). Suppose 0 = -3*x + 3*q + u, 4*q = -0*x + 3*x - 9. Let h = 0.1 - 0. What is the third biggest value in x, h, 5?
h
Let z be 5192/(-7560) - (56/20 - 3). Let u = z + -10/27. Which is the second smallest value? (a) 1/7 (b) -1/9 (c) -0.2 (d) u
c
Let y = 42.6 - 76. Let u = -0.4 - y. What is the smallest value in u, 2, -0.5?
-0.5
Let s = -18144.94 + 18145. Let g = 11 - 15. What is the smallest value in s, g, -0.1, 5?
g
Let r(c) = -5*c**2 + 274*c - 2858. Let k be r(14). Let w = 1/1437 + -16446/479. Let x = 35 + w. What is the second smallest value in 0.1, k, x?
0.1
Let a = 0.3598 + 0.1402. What is the smallest value in -1/126, a, -3/8?
-3/8
Let z = 42.3 - 39.5. Let n = z + -2.4. What is the third smallest value in n, 5, 0.3?
5
Let m = -3829 + 3828.972. Which is the second biggest value? (a) 0.054 (b) -3 (c) m
c
Let v = -15 - -10. Let z = -7595 + 7562. What is the fourth biggest value in z, 0.1, v, -2/9?
z
Let p be (-26 - 2590/(-105))/(0 - (-68)/6). What is the biggest value in -4, p, 2, 11?
11
Let m = 15206 - 15221. Let p = 28 + -28.2. Which is the second biggest value? (a) p (b) m (c) -0.3
c
Let v = 280473509/1810179 + -75564/487. Let w = v - 1/413. Which is the smallest value? (a) w (b) -6/11 (c) 2/17 (d) -7
d
Let z = -240 - 68. Let y = z - -308.1. What is the third biggest value in -2, y, 3, 1?
y
Let r = -1.78 - -1.98. Let i(k) = 3*k + 4. Let a be i(-4). Let g = a + 19. What is the third biggest value in 0.3, r, g?
r
Let w = -1017/7 + 145. Let n = -77542 + 77549. Which is the smallest value? (a) n (b) -0.5 (c) -0.3 (d) w
b
Let g(d) = -2*d - 15. Let s be g(0). Let f be 5/s + 5/9. Let n = -328 + 323. What is the third biggest value in n, f, 5, -3/4?
-3/4
Let s = -4.0708 - -0.0708. Which is the fifth smallest value? (a) -31 (b) s (c) 0 (d) 2/3 (e) -3
d
Let o = 81489/61886 + 4/2813. Let d = o + -9/11. Which is the third biggest value? (a) 6 (b) 5 (c) d
c
Let v = 70.07 - 69.97. What is the second smallest value in 3, -1/11, v, -9?
-1/11
Suppose -g = -2*g + 3*n + 4, n - 16 = -4*g. Let l = 782 - 2342/3. What is the fourth biggest value in g, 0.06, l, 3?
0.06
Let y = 1681/50 - 337/10. Which is the biggest value? (a) 2 (b) 6/23 (c) y
a
Let a = -16 - -23. Suppose a*w - 12 = 3*w. Let p be (1 - -9)*w/(-6). What is the third biggest value in -3, p, 5?
p
Let k = -8.34 - 34.66. Let t = 49.7 + -8.7. Let x = k + t. Which is the second biggest value? (a) -4 (b) x (c) 2
b
Let v = 3133 - 3135. What is the second biggest value in -0.1, 4/7, v, -2/7, 0?
0
Let g = -20.94 + 0.84. Let w = 24 + g. Let j = w + -7.9. What is the second biggest value in -1/4, j, 2/11?
-1/4
Let z be ((-1)/(-3))/(21/5922). Let d be 93/(-54) - (z/(-18) + 5). What is the third biggest value in 0.5, d, -2/9, -2/21?
-2/9
Let o = 0.029 - -1.871. Let y = o - -2.1. Suppose -4*d - 3*x - 31 = 0, 4*d + 2 = -x - 19. Which is the second smallest value? (a) d (b) -5 (c) y
a
Let x = 5259 - 131473/25. Which is the fourth smallest value? (a) x (b) -5 (c) 0.02 (d) -1 (e) -8
c
Let i be 44/(-3) + 12/18. Let f = 15 + i. Suppose 6 + 106 = 28*v. Which is the second smallest value? (a) v (b) f (c) -2/5
b
Let g = -22 + 16. Suppose -b - m + 5*m = 4, 0 = -3*b - 5*m + 22. Let t = 2 + 1. What is the third biggest value in b, g, t?
g
Let i be ((-462)/28)/(0 - (-2)/(-12)). Let m be 18/i - (-27)/(-88). Which is the third smallest value? (a) 2 (b) m (c) -12
a
Let f = 3 + 1. Let j = 2/41715 - -83332/2044035.
|
{
"pile_set_name": "DM Mathematics"
}
|
Let g = -2322 + 2324. Solve g*w + 2*w = 16 for w.
4
Let q be (12 + -10 + -3)/((-1)/3). Let w(x) = 2*x**3 - x**2 - 2*x + 1. Let p be w(2). Suppose p = 6*n - q. Solve 0 = -n*b - 10 - 0 for b.
-5
Suppose -58*w = -54*w - 212. Let a be (-68)/(-28) - 2 - w/(-7). Solve -5*v + a + 12 = 0 for v.
4
Suppose -o = 19*s - 20*s + 8, -3*s - 3*o = -30. Solve 4*w - 3 = s for w.
3
Let l = 23634 + -23628. Let f(c) = -c**3 + 2*c**2 + 2*c + 1. Let u be f(-1). Solve u*q - 5*q - l = 0 for q.
-2
Let z = -2275 - -2295. Solve -z*b - 60 = -5*b for b.
-4
Let b = 3775 - 3710. Solve -21 = -44*m + b*m for m.
-1
Let l(h) be the second derivative of h**4/6 + h**3 - 13*h**2/2 - h + 4. Let r be l(-5). Solve 0 = -r*v + 3*v - 8 for v.
-2
Let o be (-309)/(-6) - 8 - -5 - 6/4. Solve -o*d = -255 + 114 for d.
3
Let h = 33 + -177. Let r = h + 144. Solve r = a + 34 - 33 for a.
-1
Let j(k) = -k**3 + 28*k**2 + 4. Suppose -10*u = 72 - 352. Let o be j(u). Solve o = 2*w - 2 for w.
3
Let d = 16643 + -16634. Solve 0*p = d*p + 54 for p.
-6
Suppose 2*t - 37 = -2*t + 23. Solve 29*l = 26*l - t for l.
-5
Let o(s) = s**2 + 32*s + 295. Let w be o(-22). Solve 7*k - 40 = -w for k.
-5
Let x(o) = 2*o**2 + 12*o - 10. Let w be x(-7). Suppose 5*g - 4*n - 33 = 0, 3*g - w*n = 23 - 8. Solve -4*r - g + 13 = 0 for r.
1
Let w be (-7 + 4 - 2) + (15 - -2). Let h be w + -5 + 0 - 2. Solve -l + 2*l = -h for l.
-5
Let f be 107/428 - (-1 - (-238)/(-8)). Let p = 43 - f. Solve 0 = 4*n + p - 8 for n.
-1
Let k(z) = -249*z - 714. Let q be k(-3). Solve -3 = -32*i + q*i for i.
-3
Suppose 27*m = 49*m - 24*m + 34. Solve -14*x - m = -3 for x.
-1
Suppose -5*s - 2 = -2*n, -8*s = -3*s - 3*n + 3. Suppose -6*v + 4*t = -5*v + 29, -v + t - 17 = 0. Let d be (2 - s)/(v/(-65)). Solve -4*w + d = -6 for w.
4
Let f = 316190 + -316181. Suppose 3*g - 6 = -0*g. Let b be g/(-4) - 1/(-2). Solve b = -f*a + 5*a + 4 for a.
1
Let z = -245 + 247. Suppose z*p + t = 10, 2*t + 0*t = -p + 8. Solve -12 + p = -2*s for s.
4
Let u be 32/352 - (-9)/((-198)/(-416)). Solve -21 = -22*c + u*c for c.
7
Let m be (1 - (-1)/(-1))/(-1). Let d = 66 - 59. Suppose 43 = 2*n - 3*i, d*n - i + 23 = 9*n. Solve m = -3*h - 1 - n for h.
-5
Suppose 3*w - 1923 = -214*u + 211*u, -w - 4*u + 644 = 0. Solve 2*j + 646 - w = 0 for j.
-3
Suppose 0*c = -6*c - 60. Let u(t) = -t**3 - 9*t**2 + 11*t + 14. Let r be u(c). Let l = 22 - 22. Solve 0 = -l*p - r*p + 4 for p.
1
Let w be (-4 + 1 + 3)/2. Suppose -4*f - f + 4*k + 48 = 0, -5*f + 3*k + 46 = w. Suppose -g + f = 3*g. Solve -g*t - 4 + 6 = 0 for t.
1
Let r = 398 + -398. Suppose 5*u + u - 24 = r. Solve -50 = -14*n + u*n for n.
5
Let q be -5 - (-4 - 6) - 2. Solve q*u = -12*u - 30 for u.
-2
Let m be (-1 - -1)/(-5 - -10). Solve m = 201*t - 196*t + 5 for t.
-1
Let d be (42/35 + (-2)/5)*-15. Let o be (3/d)/(2/(-232)). Solve 9 - o = 4*v for v.
-5
Suppose -5*p - 15 = -5*a, 3 = 5*a + 5*p - 2. Let g(f) = -5*f**2 - 63*f - 33. Let l be g(-12). Solve -a*t - 7 = -l for t.
-2
Let f(x) be the third derivative of -x**6/120 - 7*x**5/30 - 49*x**4/24 + 132*x**2. Let j be f(-8). Solve -j*i = -11*i for i.
0
Let p(t) = -t**3 - 7*t**2 - 4*t + 4. Let f be p(-6). Let v(g) = -g**2 - 9*g - 4. Let h be v(f). Let x = -4 - -4. Solve h = -x*y - y for y.
-4
Let o = -217 + 220. Let g be 9/9*18/o. Solve -12 = -2*t - g for t.
3
Suppose 5*m + 83 = l, 89 = l - 4*m + 1. Let h = l + -104. Suppose 0 = -p + a + 5, p + 3*p = 5*a + 22. Solve p*o - 1 + h = 0 for o.
-1
Suppose 329*m = 291*m + 798. Solve -3*v = m*v + 48 for v.
-2
Suppose 8*x - 255 = 113. Let y be (x + -44)/(1/2 + 0). Solve 3*k - y*k = 5 for k.
-5
Let q be 4/(-6)*18/12 - -8. Suppose -3*a = -3*z - 42, -3*a = 53*z - 52*z - 26. Solve -3*l + a = q for l.
1
Let y be (-4)/6 + (-42)/(-9). Let l(o) = -70 - 18*o + 19*o + 78. Let x be l(-8). Solve i + x = y for i.
4
Let t(h) = -h**2 + 25*h - 22. Let c(s) = -s**3 - 11*s**2 - 22*s - 13. Let v be c(-9). Let j be t(v). Solve 4*r + 32 = j for r.
-2
Suppose -12583*g + 12523*g = -60. Suppose 4*i - 5*p = -4*p + 12, p = 0. Solve 2 + g = -i*y for y.
-1
Suppose 0*g - 5 = -g. Suppose -165 = g*t + 5*b, -5*t = -2*b - b + 181. Let s = t - -47.
|
{
"pile_set_name": "DM Mathematics"
}
|
ative of -l**5/20 - l**4/3 - l**2/2 + 2*l. Let q be c(-3). Let d = -36259/3399 + 1/1133. Do q and d have different values?
True
Suppose 0 = 4*d - 4*i - 252, 63 = 3*d - 2*d - 4*i. Let k = -62 + d. Is 1/314 smaller than k?
True
Suppose -12*p + 23408 = -60*p + 29*p. Are 3 and p equal?
False
Let a = -119.6 + 108. Let p = a - -11.2. Let n = p - -5.4. Is n < 5?
False
Let b = -11007 - -10982. Which is smaller: 427 or b?
b
Suppose x = -57 + 227. Let f be 8 + x/(-20) + (-2)/(-4). Which is smaller: f or 280?
f
Suppose 5*w - 138 = 3*a, -2*a - 2*w - 19 = 73. Let m = a - -49. Suppose 11 = m*c - 31. Is 14 at least as big as c?
True
Suppose 10 = 2*y - 2*p, -3*p - 22 + 7 = 0. Suppose j = 5*s - 6 - 0, y = 3*j - s - 10. Suppose -89*q + j = -88*q. Is 4 bigger than q?
False
Suppose 4*x - 4*b - 9 = 43, 0 = -3*x - 3*b + 21. Suppose 8*t - 200 = x*t. Which is smaller: t or -101?
-101
Let y be ((-361)/(-19) + -21)*(-1)/(0 + -2). Suppose 46 = -4*p + 6*p. Let x = p - 33. Which is greater: x or y?
y
Suppose -696 = -15*g - 441. Let z = 7 + -7. Let o be 13 - (z + 3/(-1)). Is g at most o?
False
Let l(m) = m**3 - m - 1. Let j(b) = 2*b**3 + 6*b**2 - 2*b - 5. Let h(t) = j(t) - l(t). Let f be h(-6). Suppose -f*n + 180 = 154. Which is smaller: 15 or n?
n
Suppose 0 = 22*j - 6*j + 6224. Let o = -302 - j. Which is greater: 2 or o?
o
Let b(j) = -4*j + 4. Suppose -2*z - 9 = -3. Let d be b(z). Let w be 1740/110 + 6/33. Is w less than or equal to d?
True
Suppose -2795 - 705 = 2*g + 1170. Is g greater than or equal to 0?
False
Let t = 50/3 + -16. Let j(s) = s**3 - 21*s**2 - 730*s + 14267. Let l be j(18). Which is greater: t or l?
l
Let i = 5/34386 - -66577/15095454. Suppose 5 = 5*m - 0*m. Is i at most m?
True
Let v be (-56)/(-16)*3*(-8)/14. Let s(p) = 3*p**2 + p - 23. Let w be s(v). Which is greater: 77 or w?
w
Let j = 1115 - 1115. Which is bigger: j or 18?
18
Let f(t) = -t**3 + 8*t**2 - t - 19. Let k be f(6). Suppose 55 = -8*z + k. Are z and -2/363 equal?
False
Let q = -98 - -94. Let b = 271 + -244. Is b greater than q?
True
Let j be (1/1492)/((-1040)/960). Which is smaller: j or -1?
-1
Let q = 21232 + -191080/9. Let g = -2 - -2. Do q and g have different values?
True
Let v = -1.094 - -1.492. Is 4 <= v?
False
Let y(z) = -19*z - 59. Let d be y(-28). Suppose 380 = 2*w + 2*w - 2*q, 5*w - 3*q - d = 0. Let m = -97 + w. Which is smaller: -1 or m?
-1
Suppose -2*u + 106 - 96 = 0. Suppose -5*y + 3*w - 5*w = 7, -u*y + w - 4 = 0. Let c be (0 - y)/((-50)/(-310)). Which is smaller: c or 6?
6
Let d be 6/(-4)*(-22273)/87. Let c = d - 384. Let n = -2526 - -2526. Which is smaller: c or n?
n
Let c(j) = 5*j**2 + 122*j + 736. Let g be c(-11). Do g and 2/12803 have the same value?
False
Let r = 15584 + -16232. Is r not equal to -649?
True
Let n(c) = 603*c + 10230. Let s be n(-17). Let q be (2 - 1)*(0 + -23). Is s at least as big as q?
True
Let w(v) = -3*v**2 + 139*v - 587. Let h(m) = -m**2 + 47*m - 195. Let z(j) = 17*h(j) - 6*w(j). Let t be z(25). Let n be 4/(-26) - (-544)/(-13). Is n < t?
False
Suppose -2*t = -4*t + t. Let u = -25 - -35. Suppose t = 5*m + 3*f + 3 + 2, u = -5*m - 4*f. Which is greater: 1 or m?
m
Let m be -1*(2/5 + 0). Suppose 245 + 191 = -f. Let n = -437 - f. Which is greater: n or m?
m
Let z(x) = -159*x + 433. Let a be z(-16). Do a and 2977 have different values?
False
Let o = 286 - 284. Let y(r) = -3*r**2 + 11*r - 25. Let g be y(o). Which is bigger: -20 or g?
g
Let b = -0.5 + 0.8. Let t = -0.2 + b. Let z = 0.0845447 - 0.1845447. Which is greater: t or z?
t
Let t = 27868022/249 - 111920. Is 1 at least as big as t?
True
Let s be 1*16/(-8)*139/1. Let i = s - -262. Suppose 18 = -2*p - 3*o, p + 3*o = -3*p - 48. Is i at most as big as p?
True
Let z be 26/65*(18 + 2) + -5. Suppose -5 - 10 = -5*n. Suppose 2*i = -z*m, n*i - 6*m - 34 = -2*m. Is 5 smaller than i?
True
Let f(v) = -3*v - 3. Let m(k) = 2*k + 1. Let b(g) = -6*f(g) - 13*m(g). Let p be b(-5). Let h = -229 - -275. Which is bigger: h or p?
h
Let h(x) = -19*x**3 - 2*x**2 - 94*x + 191. Let c be h(2). Is c at most -160?
False
Let o = 663 + -671. Let b be o + 156/(-33) + (-8)/(-2). Which is greater: b or -10?
b
Let w = 42107 + -42107. Is w < -3447?
False
Suppose -3*o + 35 = 26. Suppose -2 + 5 = -o*m + 2*p, 3*m = -p + 6. Suppose -2*q + 0 + m = s, 3*s - 2*q = 3. Which is smaller: s or -1?
-1
Let d(l) = -l**2 - 68. Let j be d(10). Let h be 1 + (-8)/6 - 161/j. Suppose 0 = -3*b + 5 - 2. Is b bigger than h?
True
Let f(j) = 3*j + 1. Let t be f(-2). Let w(a) = -2*a - 8. Let n be w
|
{
"pile_set_name": "DM Mathematics"
}
|
645 - 379. What is the highest common factor of g and 28?
14
Suppose 18*p - 910 = 530. Calculate the highest common factor of 440 and p.
40
Let s be 12/(1 + -4) + 480/(-5). Let d = 104 + s. What is the greatest common factor of 5 and d?
1
Suppose 3*q - 441 = 3*m, 0 = q + q - m - 294. What is the highest common divisor of 7 and q?
7
Let k(h) = 9*h**3 + 72*h**2 - 11*h - 12. Let u be k(-7). Calculate the greatest common divisor of u and 22.
22
Let v = 8 - 0. Let a(u) = 30*u + 934. Let p be a(-29). Calculate the highest common divisor of p and v.
8
Let g = 483 - 395. Calculate the highest common divisor of g and 1056.
88
Suppose -30*n = -31*n + 24. Calculate the highest common divisor of n and 18.
6
Let f be 8/(((-4)/(-10))/(8/10)). Suppose 8 = 2*l - f. Calculate the greatest common divisor of l and 9.
3
Suppose 15 = -14*j + 17*j. Suppose -j*i = 7*i - 336. Calculate the greatest common divisor of 42 and i.
14
Let c(l) = -4*l - 14. Let d be c(-4). Suppose -u = -3*j + 25, -3*u - 9 = -j - d*u. Calculate the highest common divisor of j and 64.
8
Let d = 2 + 3. Suppose j = -4*j + d. Let y be (-21)/(28/(-16) + j). What is the highest common factor of y and 7?
7
Suppose -q + 22 = 2*c - 23, -3*q + 66 = 3*c. What is the greatest common factor of c and 943?
23
Let c(g) = -g + 9. Let y be c(6). Let w be y*(1 - 12/(-9)). Let l be -1*w/2*-24. What is the greatest common factor of 12 and l?
12
Let c be 4 + (13 - (-2)/2). Calculate the highest common divisor of c and 36.
18
Let n(w) = 11*w + 18. Let d(q) = 11*q + 17. Let r(k) = -7*d(k) + 6*n(k). Let z be r(-11). Let s = 24 + -2. Calculate the highest common factor of z and s.
22
Let h = 106 + -53. Suppose 4*j + 0*j = 3*c + h, 2*c = 5*j - 61. Let y = -234 - -289. Calculate the highest common factor of y and j.
11
Let s(v) = -v - 6. Let l be s(-5). Let k be (0 - -6)/(3 + l). Suppose o - 264 = -k*o. Calculate the greatest common divisor of 11 and o.
11
Let a = 323 - 260. What is the greatest common factor of 70 and a?
7
Let r be 2/(-3) - 3*3177/(-81). What is the highest common factor of 18 and r?
9
Let b(d) = d - 30. Let x be b(0). Let t = -26 - x. Suppose q = 5*u + 32, -t*u - 52 = -4*q + q. What is the highest common factor of q and 96?
12
Suppose -14 = 2*w - 0*w. Let o = w - -13. Let c = 38 + -26. What is the highest common divisor of c and o?
6
Let u = 473 - 283. Calculate the highest common factor of u and 30.
10
Let f = 1386 + -437. Calculate the highest common divisor of 13 and f.
13
Let z(f) = f**3 + 29*f**2 + 10. Let x be z(-29). Suppose -4*g = -59 - 141. Calculate the greatest common factor of x and g.
10
Let w(b) = b - 1. Let s be w(5). Suppose -z + 5 = i - 43, 0 = s*i. What is the greatest common factor of z and 6?
6
Suppose 0 = -3*g + 2*k + 466, -5*g = -3*k - 0*k - 775. What is the highest common factor of 247 and g?
19
Let a be -2*(26/(-8))/(4/(-24)). Let c = a - -48. Calculate the greatest common divisor of c and 3.
3
Let k = -26 + 29. Let t(x) = 2 - 453*x**k + 8*x**2 + x + 454*x**3 - 21*x**2. Let u be t(13). Calculate the greatest common divisor of 120 and u.
15
Let r(k) = 22 - 7*k + 0*k + 4*k + 6*k. Let a be r(-6). Calculate the greatest common factor of a and 1.
1
Suppose o - n + 8 - 15 = 0, n - 8 = -2*o. Suppose -5*z - i = -480, -o*i + 0*i + 384 = 4*z. What is the greatest common divisor of 12 and z?
12
Suppose a = 4*g - 115, 3*a = 2*g + 9 - 54. Suppose 4*v = 2*v + g. Let t(c) = -41*c - 31. Let h be t(-1). What is the highest common factor of h and v?
5
Let w(j) = 9*j**3 + j**2 + 2*j. Let q be (-2)/(-3) + 12/9. Let r be w(q). Let c = 60 + -28. What is the greatest common factor of c and r?
16
Suppose -5*p + p = -w + 100, 0 = 3*w + p - 274. Let m = -26 + w. What is the greatest common factor of m and 44?
22
Let f = -18 + 20. Let u be ((-12)/7)/(f/(-49)). Calculate the greatest common divisor of u and 14.
14
Suppose c + 8*p + 2 = 12*p, -5*c + 50 = -5*p. Calculate the greatest common divisor of c and 35.
7
Suppose -3 + 1 = -h. Let r(w) = 1 + 3*w**2 - w - 3*w**h + 1 + w**2. Let q be r(4). Calculate the greatest common divisor of q and 126.
14
Let o be (-8)/14*-7*164/8. Let x be (0 + 105/6 - -3)*10. Calculate the greatest common divisor of x and o.
41
Let v = 1347 - 1332. Calculate the highest common factor of 45 and v.
15
Suppose -6*j + 7*j - 9 = 0. Let c be (-9)/(2/(-6)*18/42). What is the highest common factor of j and c?
9
Let r(q) = -8*q + 76. Let a be r(7). What is the highest common divisor of 220 and a?
20
Suppose -8 - 3 = -v. Let n = 22 + -23. Let s be n/(-7) - 1384/(-14). Calculate the highest common divisor of v and s.
11
Let a = 486 - 446. Let m(p) = 10*p**2 + 4*p + 2. Let b be m(-1). What is the greatest common divisor of a and b?
8
Let o = 204 - 125. Calculate the highest common divisor of 79 and o.
79
Suppose 8*i = 7*i + 15. Let g be 3/i + (-356)/(-20). What is the greatest common factor of g and 126?
18
Let v be 12/(-3 - -5) + 37 + -2. Calculate the highest common factor of v and 287.
41
Let g be 5 - 7 - (-13 + -1). Let t = 468 - 462. Calculate the greatest common factor of t and g.
6
Let p be 42 - ((-10)/5 + -2) - 3. Calculate the greatest common factor of 215 and p.
43
Let h be (20/2)/(6/27). Let u(t) = 2*t - 23. Let b be u(10). Let a be (-1)/b - (-890)/30. What is the greatest common divisor of h and a?
15
Suppose -4*s - 4*p = -272, -s + 82*p - 85*p + 68 = 0. Let u(l) = 25*l + 2. Let m be u(4). Calculate the highest common factor of m and
|
{
"pile_set_name": "DM Mathematics"
}
|
731
-0.04 - 1574813369
-1574813369.04
Work out -29413578 + 142.7.
-29413435.3
What is 3574 + -40966.5?
-37392.5
What is -3009942 - 32.9?
-3009974.9
Work out 37417158.988 - 0.4.
37417158.588
Total of -52.16726 and 0.1.
-52.06726
Total of 2 and -886799284.
-886799282
What is 860.2 less than -993014?
-993874.2
What is -3 plus -6237591525?
-6237591528
What is the difference between -815433918 and 0.8?
815433918.8
What is -134347737 plus -0.5?
-134347737.5
139.51 + -2795531
-2795391.49
What is -2 - 14355.66?
-14357.66
Subtract 2362674 from -7.22.
-2362681.22
Put together -1124763 and 0.51.
-1124762.49
Sum -0.03 and 8964814.
8964813.97
What is 21427 less than -1428?
-22855
What is 36474 + -0.03638?
36473.96362
Total of 1837 and -1420.4.
416.6
What is 559 + -0.35087?
558.64913
0.05966118045 - 4
-3.94033881955
Calculate 3 + 13888236.1.
13888239.1
What is -0.007 take away -0.191028?
0.184028
Total of -0.1 and -14864274.
-14864274.1
What is -7394.46 + 0.0631?
-7394.3969
What is -14825.9 + 3.2?
-14822.7
What is 18 less than -5112027598?
-5112027616
138.386726 + 0.3
138.686726
What is 3110.4 + 95800?
98910.4
What is 0.026 + -7131643?
-7131642.974
Add together 38191509 and 0.11.
38191509.11
Put together 29206 and 205.
29411
Add together 160.286203 and 3.5.
163.786203
Total of -0.4 and -1914503632.
-1914503632.4
Work out 46529 + 1241.
47770
What is -642023 plus -235.9?
-642258.9
What is -1 take away 8847279378?
-8847279379
What is the distance between 46176 and -498?
46674
Work out 0.3 + 1860371262.
1860371262.3
-5217095 - 2
-5217097
What is -3611.485 + -0.46?
-3611.945
What is 15 + 502560?
502575
Add -1 and 26191536.
26191535
What is -4 + 0.050154443?
-3.949845557
Calculate -94260525 - -0.07.
-94260524.93
Add together 0.78234 and 2621.
2621.78234
What is 1 less than -2.375202382?
-3.375202382
What is -62428.17 less than -0.5?
62427.67
0.4+288813
288813.4
Subtract -0.01 from -15348392.37.
-15348392.36
Add -1076 and -5.612.
-1081.612
What is 4191330 plus 36.7?
4191366.7
Subtract -18125196174 from -0.08.
18125196173.92
What is 287043 - 52.1?
286990.9
What is the difference between 32038141 and -0.582?
32038141.582
What is the distance between 630 and -95768.75?
96398.75
What is the distance between -14520 and 42503?
57023
Work out -62 - -0.032382902.
-61.967617098
What is the distance between -16419163 and -6?
16419157
Add -16292613 and 0.2.
-16292612.8
0.04+54851562
54851562.04
What is the difference between -0.3 and 16372480?
16372480.3
0.03 - 2936116
-2936115.97
What is -32748 take away 8.4905?
-32756.4905
Subtract -468 from -120457.29.
-119989.29
What is -11 - -154131776?
154131765
What is -19.2019 - 613?
-632.2019
Add together -4.06 and -1.084206.
-5.144206
Total of -1533.421 and -111.1.
-1644.521
Subtract 5 from -116540951.
-116540956
What is 0.23 minus 10566.69?
-10566.46
Add together -1410011 and 0.03.
-1410010.97
What is -96530 + -1.5497?
-96531.5497
What is -130.23 take away 32719?
-32849.23
Add -1035333.187 and -0.67.
-1035333.857
Sum 738 and 8709030.
8709768
What is -24.3417 less than 599?
623.3417
Add 0.1322 and -13596.
-13595.8678
Sum -2.673 and -1176961.
-1176963.673
What is 3 plus 3605.573?
3608.573
Calculate 23116 + -167.
22949
What is 0.198 less than -41220965?
-41220965.198
Add 3101783774 and 6.
3101783780
What is 402173 less than -875?
-403048
What is -0.2 take away -5089.907?
5089.707
What is 0.5515215 less than 4.6?
4.0484785
What is the difference between -2163 and -139867?
137704
Calculate 15995445 - 0.05.
15995444.95
Calculate -0.5 - -12.574675376.
12.074675376
Add -104.24 and 0.577.
-103.663
What is -0.449 take away -233873?
233872.551
-36869025+29
-36868996
Add 4 and -0.00604367723.
3.99395632277
Add 4536 and -60.58.
4475.42
Total of -3 and -79738733.
-79738736
What is -36360 - 690652?
-727012
What is 378054 less than 57?
-377997
What is -0.2841 - -343709?
343708.7159
Subtract -14919.413 from -0.3.
14919.113
Subtract -18306.14 from 0.3.
18306.44
Work out -46204033 - 0.1.
-46204033.1
Work out 69.93 - 1318.7.
-1248.77
0.1015071 - -0.1
0.2015071
1809.2 + 1170774
1172583.2
Sum 40 and 987605.
987645
Work out -36450 - 145544.
-181994
What is -0.5 less than -9750617?
-9750616.5
Add 172.857795 and -0.4.
172.457795
Work out -49087713 - 2.
-49087715
What is the difference between 52 and 48330782?
48330730
Sum 14.3870514 and -3.
11.3870514
What is 5 plus 2430226?
2430231
Total of 192 and 0.0555852.
192.0555852
Put together 10432366.952 and 2.
10432368.952
Add -0.371
|
{
"pile_set_name": "DM Mathematics"
}
|
ivisor of 8 and i.
8
Suppose -10*w = -316 + 96. Calculate the highest common factor of w and 286.
22
Suppose 0*n + 2*n = 0. Suppose 6*t - t + 20 = n. Let s be ((-3)/3)/(t/40). What is the highest common factor of 20 and s?
10
Let j be (-50)/(-15)*(-12)/(-10). Suppose 0*u = j*u - 8. Calculate the greatest common divisor of 3 and u.
1
Suppose -5*v = 2*n - 208 + 44, 3*n + 43 = v. Calculate the greatest common factor of v and 34.
34
Let o be (3 + 24/(-9))*54. Calculate the greatest common factor of 6 and o.
6
Suppose -4*v + v = -3*t + 177, 0 = -3*v - 9. Calculate the greatest common factor of t and 8.
8
Let m(n) = n**3 - 11*n**2 + 21*n + 13. Let l be m(9). What is the highest common factor of l and 100?
20
Suppose -3*b + 4*o + 25 = 3*o, -b + o = -11. Suppose r = -3*r - 16. Let u = r - -5. Calculate the highest common divisor of b and u.
1
Suppose -85 - 19 = -4*t. What is the highest common factor of t and 65?
13
Suppose -l = -5*y + 28, l + 1 = -l - y. Let d be 29/(-2) + l/(-6). Let b = -7 - d. Calculate the greatest common factor of b and 77.
7
Let v be 221 - ((-2)/12 + 100/24). What is the greatest common divisor of 31 and v?
31
Let u = 232 - 124. What is the highest common divisor of u and 12?
12
Let j = 133 + -121. Let o(a) = 5*a**2 + 5*a - 4. Let v = -9 - -4. Let x be o(v). Calculate the highest common factor of j and x.
12
Let j = 51 - 36. Suppose -2*v + 5 = 5*g, -2*g + 3 = v - 2. What is the highest common factor of j and v?
15
Let f(y) = -y**3 - 9*y**2 - 8*y + 7. Let b be f(-8). Suppose i = 2*r + 3, -4 = -2*i + b*r - 2*r. What is the greatest common factor of i and 7?
7
Let d(h) = 40*h**2 + 3*h + 1. Let a be d(-2). Suppose 3*f + 47 = a. Calculate the highest common factor of 4 and f.
4
Let q = -6 - -10. Let i be 2 + (0/2 - 8). Let x be 8/i*-3 - 0. What is the greatest common factor of x and q?
4
Let t(l) = -l**3 - 7*l**2 - 6*l + 1. Let z be t(-6). Let q(r) = 1 + z - 3*r - 3*r - 2*r - r**2. Let v be q(-8). What is the greatest common divisor of 10 and v?
2
Let i be 6*((-6)/8)/((-7)/14). What is the highest common divisor of 99 and i?
9
Let d(z) = 3*z**3 + z. Let b be d(1). Let i be (-4)/(-14) - 120/28. Let u = 5 + i. What is the highest common divisor of u and b?
1
Suppose 0 = -2*a + 5*a - 15. Suppose 2*v - 2*n + 10 = 26, -a*n = -v. What is the greatest common divisor of v and 4?
2
Let n(o) = -207*o - 4. Let y be n(-1). Calculate the greatest common divisor of 29 and y.
29
Suppose -16 = -5*y + y. Suppose 2*n - 2*k - 16 = 22, 4*k = -y*n + 52. What is the greatest common divisor of n and 176?
16
Suppose 0 = -5*m + 136 + 179. Suppose -m = -2*p + 243. Calculate the highest common divisor of p and 17.
17
Suppose 25 = 5*c, c - 3 = -k - 0*k. Let s(b) = 9*b + 1. Let m be s(1). Let d = m + k. Calculate the greatest common divisor of 80 and d.
8
Let c(r) = 47*r - 5. Let x be c(1). Calculate the greatest common divisor of 12 and x.
6
Suppose n - 9 = 3. Suppose -6*k + 4*k + 168 = 0. What is the highest common factor of n and k?
12
Suppose 0*s - 220 = -4*s. Let z(q) be the first derivative of 5*q**3/3 + q**2 - 2*q - 1. Let i be z(2). What is the greatest common divisor of i and s?
11
Suppose -2*h = -32 + 26. Calculate the highest common divisor of h and 33.
3
Suppose 0 = -3*q + 5*q - 60. What is the greatest common factor of q and 20?
10
Let x(r) = 9*r - 18. Let l be x(3). What is the greatest common divisor of l and 27?
9
Let s = -57 + 64. Let m be (-1)/(12/14 - 1). What is the highest common divisor of s and m?
7
Let i(n) = n**2 + 8*n + 9. Let f be i(-9). Calculate the greatest common divisor of 6 and f.
6
Suppose 11 = -h - 10. Let a be (-6)/h + (-122)/(-14). What is the highest common factor of a and 18?
9
Suppose 11*z - 36 = 9*z. Let s(u) = u**3 + 4*u**2 + 3. Let c be s(-4). Suppose 2*n = -5*y + 2, -c = 2*y + 1. Calculate the highest common factor of z and n.
6
Let r(y) = 8*y + 4. Let s be r(3). Calculate the highest common factor of s and 21.
7
Suppose -32*j + 26*j = -72. Calculate the highest common factor of j and 12.
12
Let f = -5 + 15. Let n = f - 6. Suppose t - 2 = -0. Calculate the highest common divisor of t and n.
2
Let r = 7 - 4. Suppose r*u - 4*g - 32 = 0, -4*u + 0*g - g + 11 = 0. Suppose 140 = 5*i - 0*i. What is the greatest common divisor of i and u?
4
Let z be (-128)/(-1) + (6 - 9). What is the greatest common factor of z and 50?
25
Suppose 0 = h + 3*k + 19, 0*k - 5*k - 5 = -h. Let q be (24/h)/(-3)*35. Let y be (14/6)/(2/6). What is the highest common divisor of y and q?
7
Suppose 2*f = -4*r + 26, f - 4 = -r + 7. Calculate the highest common divisor of 180 and f.
9
Let d = 442 - 297. Suppose -4*z - 2*l - 15 + d = 0, 5*z = 5*l + 170. Let t be (1 + -3)*(-3)/2. Calculate the highest common factor of t and z.
3
Suppose -4*l = -4, 0*x - x = 4*l - 64. Suppose -6*c + x = -c. Let o be ((-10)/(-15))/((-4)/(-18)). Calculate the highest common factor of o and c.
3
Suppose 0 = -5*u - 15, -2*y + y - 4*u - 9 = 0. Suppose 2*c - c = y. Calculate the greatest common divisor of 9 and c.
3
Suppose 25 = u + 4*u. Let q = u + -2. Suppose -3*v + 12 = -4*p, -8 = -2*v + q*p - p. Calculate the greatest common factor of v and 16.
4
Let g(i) = -i**3 - i + 28. Let u be 3 - (-2 - 15/(-3)). Let m be g(u). Calculate the highest common divisor of m and 42.
14
Let s = 19 - 13. Suppose -7*d - 4*r = -3*d - 12, -s = -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
y(w)).
-24*w**2
Let p(c) = -c. Let g(k) = -613*k**2 + 2 - 16 + 20 - 6. Determine g(p(f)).
-613*f**2
Let j(c) = c**2 - c - 2. Let n(h) = h**2 - 2*h - 4. Let x(z) = -6*j(z) + 3*n(z). Let m(o) = -205*o. Determine m(x(p)).
615*p**2
Let l(k) be the second derivative of k**3/6 + k - 7. Let i(h) = 39*h. Calculate i(l(m)).
39*m
Let y(c) = 2*c**2 - 3452*c. Let j(u) = -u. Give y(j(l)).
2*l**2 + 3452*l
Let d(t) = 7*t + 2. Let m(a) = -120*a - 35. Let c(q) = 35*d(q) + 2*m(q). Let k(n) = -27*n**2. What is k(c(i))?
-675*i**2
Let x(p) = 39*p**2. Let j(b) = 2812*b**2. Calculate x(j(k)).
308386416*k**4
Let o(i) = 2*i + 1. Let p(k) = -k**2 - 10*k - 5. Let m(h) = -15*o(h) - 3*p(h). Let f(n) = n + 4. Calculate f(m(v)).
3*v**2 + 4
Let x(u) be the first derivative of 8*u**2 + 2. Let z(v) = 3*v - 3 + 3 - 5*v. Give z(x(c)).
-32*c
Let u(g) = 5*g**2 + 4*g**2 - 11*g**2. Suppose 0 = o - 6*o + 15. Let y(s) = 5*s**2 + 2*s**2 - 3*s**2 - o*s**2. Give u(y(r)).
-2*r**4
Let m(b) = 4*b**2. Let t(l) = 115*l**2 - 6*l - 3. Let s(n) = 116*n**2 - 4*n - 2. Let d(g) = 3*s(g) - 2*t(g). Give m(d(o)).
55696*o**4
Let g(y) be the third derivative of -y**5/30 + 5*y**2 + 10. Let f(i) = 16*i + 64. Let p(k) = k - 1. Let j(t) = -f(t) - 64*p(t). What is g(j(b))?
-12800*b**2
Let d(g) = 16*g**2 - 10*g + 18. Let m(u) = 24*u**2 - 14*u + 25. Let r(b) = 7*d(b) - 5*m(b). Let a(t) = 9*t. Calculate a(r(f)).
-72*f**2 + 9
Let v(f) be the third derivative of 15*f**2 + 0*f + 0 + 0*f**4 + 0*f**3 + 2/15*f**5. Let h(k) = k. Calculate v(h(g)).
8*g**2
Let u(f) be the third derivative of f**5/60 - f**2. Let y(i) be the second derivative of -1/6*i**4 + 0*i**3 + 0*i**2 + 0 - 3*i. Give y(u(b)).
-2*b**4
Let a(x) = 108*x. Let b(h) = -h**2 + 1258*h - 2*h**2 - 628*h - 630*h. Calculate b(a(g)).
-34992*g**2
Let i(w) = -68*w**2. Let q(s) = 3021*s**2. What is q(i(x))?
13969104*x**4
Let o(a) = 127*a**2. Let m(v) = -2*v - 622. Calculate m(o(k)).
-254*k**2 - 622
Let i(a) = -1331 + 1331 - 2*a. Let x(r) = -2*r**2 + 86. Determine i(x(u)).
4*u**2 - 172
Let y(n) = -1713*n - 6. Let c(a) = 599549*a + 2101. Let k(h) = -6*c(h) - 2101*y(h). Let p(w) = -w. Determine k(p(m)).
-1719*m
Let y(d) = 8*d**2 - 6*d - 12. Let j be y(-6). Let p(w) = -j + 312 + 44*w**2 - 14*w**2. Let a(o) = o. What is p(a(c))?
30*c**2
Let h(v) = 11*v - 5. Let f(d) = 3*d - 2. Let z(r) = -7*f(r) + 2*h(r). Let w(q) = 2*q. Calculate z(w(c)).
2*c + 4
Let z(x) = x**2 - 1019*x. Let m(j) = -2*j + 657. Determine z(m(t)).
4*t**2 - 590*t - 237834
Let n(c) = 18*c**2. Let q(l) = -153801*l. Give n(q(h)).
425785456818*h**2
Let b(k) = 2265*k. Let w(c) = -566*c. Let h(r) = -6*b(r) - 25*w(r). Let u(n) = -2*n**2. Calculate h(u(o)).
-1120*o**2
Let h = 41 - 39. Let t(i) = -28*i + 28*i - 3*i**h. Let m(w) = 2*w**2 + 2. Let p(n) = 1. Let f(r) = 4*m(r) - 8*p(r). What is t(f(k))?
-192*k**4
Let s(p) be the second derivative of 0 - 13*p + 0*p**2 - 2/3*p**3. Let a(k) = k**2. What is s(a(i))?
-4*i**2
Let x(q) = 52*q. Let w(g) = -3. Let u(l) = 4*l - 48. Let a(m) = u(m) - 16*w(m). What is x(a(f))?
208*f
Let m(l) = -5*l - 3*l + 6*l. Let h(c) be the first derivative of -8*c**3 + 269. Determine h(m(o)).
-96*o**2
Let t(x) = x. Let f(h) = -87039*h. What is t(f(v))?
-87039*v
Let y(x) = 9*x**2. Let d(n) be the second derivative of -n**3/3 - 112*n. Determine d(y(l)).
-18*l**2
Let t(a) = a**2. Let f(b) = -2*b**2 - 37*b - 3. Let d(k) = 3*k**2 + 33*k + 4. Let p(c) = 3*d(c) + 4*f(c). Determine t(p(w)).
w**4 - 98*w**3 + 2401*w**2
Let a(s) = -1449*s**2. Let x(y) = 2*y**2 - 144. Give x(a(q)).
4199202*q**4 - 144
Let t(p) = 13898*p**2. Let n(w) = -3*w. Give n(t(a)).
-41694*a**2
Let x(z) = -2*z + 2*z - 2*z. Let y(o) = o**2 + 2*o - 1. Let i(m) = -3
|
{
"pile_set_name": "DM Mathematics"
}
|
594 + 995*o + 195 + 196 + 202.
-3750*o - 1
Collect the terms in 2245 - 1134 - 1111 + 291*k.
291*k
Collect the terms in 50*s**3 + 71*s**3 + 91*s**3 + 101*s**3.
313*s**3
Collect the terms in 992*l + 84*l + 1220*l - 181*l + 1883*l - 536*l.
3462*l
Collect the terms in 29485*r**2 - 6 - 309258*r**2 + 6.
-279773*r**2
Collect the terms in -38*n - 32*n + 1553*n**2 + 70*n + 1399*n**2.
2952*n**2
Collect the terms in -286764303242*m**2 + m**3 + 286764303242*m**2.
m**3
Collect the terms in -531572*y + 266026*y + 266227*y.
681*y
Collect the terms in -53664276*t + 53664276*t - 1002*t**3.
-1002*t**3
Collect the terms in -694*s**3 + 2793*s**3 - 691*s**3 - 2*s - 646*s**3 - 654*s**3.
108*s**3 - 2*s
Collect the terms in -36426*o**2 + o**3 - 87582*o**2 + 0*o**3.
o**3 - 124008*o**2
Collect the terms in -1879 - 9951*h + 1879.
-9951*h
Collect the terms in -7*r + 4*r + 2664838 - 2664839 - 5*r.
-8*r - 1
Collect the terms in 43*p + 21403*p**2 - 21403*p**2 - 43*p + 821*p**3 + 164*p**3.
985*p**3
Collect the terms in 18229*u**3 + 18209*u**3 - 54637*u**3 + 3 - 3 + 18197*u**3.
-2*u**3
Collect the terms in 14324*b + 14331*b - 204 - 28654*b.
b - 204
Collect the terms in -2566*s**2 + 890*s**2 + 1276*s**2.
-400*s**2
Collect the terms in -167 + 337 - 170 - 1496*w.
-1496*w
Collect the terms in 459*c - 103*c**2 - 68*c**2 - 459*c + 174*c**2.
3*c**2
Collect the terms in 56*p**3 + 2 - 189*p - 1 + 189*p - 62*p**3 - 1.
-6*p**3
Collect the terms in 8714*k**2 + 1907*k**2 + 600*k**2 + 2155*k**2 - 1641*k**2.
11735*k**2
Collect the terms in -18036*q - 18161*q - 18155*q + 72520*q - 18158*q.
10*q
Collect the terms in 2*s + 1302*s**2 - 64*s**3 - 6 - 2598*s**2 + 6 + 1296*s**2.
-64*s**3 + 2*s
Collect the terms in 97684 + 8*z**3 - 48796 - 48844.
8*z**3 + 44
Collect the terms in -13*y**3 - 837 - 22*y + 6*y + 15*y.
-13*y**3 - y - 837
Collect the terms in 2*u**3 - 3500107019 + 3500107019.
2*u**3
Collect the terms in 52 + 54 - 29673*x - 161 + 55.
-29673*x
Collect the terms in -631655*v**2 + 74517*v**2 - 249485*v**2.
-806623*v**2
Collect the terms in -68*y**2 + 40 - 56 + 16 - 97*y**2 + 42*y**2.
-123*y**2
Collect the terms in 18184*w**3 - 23408*w**3 + 5247*w**3.
23*w**3
Collect the terms in 259247*t**2 - 14*t**3 + 259276*t**2 - 518523*t**2.
-14*t**3
Collect the terms in 425*i**2 + 434*i**2 + 436*i**2 + 1911*i**2 - 3204*i**2.
2*i**2
Collect the terms in -2216*w**3 - 2213*w**3 - 2261*w**3 + 8906*w**3 - 2220*w**3.
-4*w**3
Collect the terms in 93*x + 99*x - 150*x + 78*x - 125*x.
-5*x
Collect the terms in 23030*l**2 - 11425*l**2 - 11101*l**2.
504*l**2
Collect the terms in -27*f**3 - 17*f**3 - 22*f**3 - 2*f + 163*f**2 - 2*f + 68*f**3.
2*f**3 + 163*f**2 - 4*f
Collect the terms in 129800793*a - 129800793*a + 6*a**3 - 8*a**3.
-2*a**3
Collect the terms in -11014801 + 11014801 - 34*v**3.
-34*v**3
Collect the terms in -33*u + 4795 - 4813 + 88*u - 29*u - 24*u.
2*u - 18
Collect the terms in 9*p**2 - 2*p + 7 + 13*p**2 - 8*p**2 - 59 + 4*p**3.
4*p**3 + 14*p**2 - 2*p - 52
Collect the terms in -4*t**2 + 15497 + 0*t**2 + t**2 - 85992 - 3*t.
-3*t**2 - 3*t - 70495
Collect the terms in 198807*l**2 + 55*l - 55*l.
198807*l**2
Collect the terms in -11 - 58*v**2 - 35*v**2 + 137*v**2 - 8 - 55*v**2.
-11*v**2 - 19
Collect the terms in 2 - 4717*w**3 + 4718*w**3 + 4 + 8 + 0 - 14.
w**3
Collect the terms in 20*x + 0 - 2 + 957*x**2 - 42*x.
957*x**2 - 22*x - 2
Collect the terms in 9 + 1085823*w**2 + 316245*w**2 - 9.
1402068*w**2
Collect the terms in 74*b**3 - 22*b**3 + 3039*b - 28*b**3 - 3039*b - 27*b**3.
-3*b**3
Collect the terms in 49157*b + 115706*b + 70849*b.
235712*b
Collect the terms in 639*k - 1290*k + 640*k + 81 - 81.
-11*k
Collect the terms in 25*y - 24*y - 1480*y**2 + 1475*y**2.
-5*y**2 + y
Collect the terms in 10 - 5 + 12219*t - 11994*t.
225*t + 5
Collect the terms in 13 - 49 + 13 + 2*o**2 + 7 + 18.
2*o**2 + 2
Collect the terms in -6085*l**2 + 80*l**3 + 1310*l**2 - 5441*l**2 - 43*l**3 - 33*l**3.
4*l**3 - 10216*l**2
Collect the terms in 406*x + 26802 - 3456*x - 26802.
-3050*x
Collect the terms in -1524*j**2 - 119*j**3 + 4420*j**2 + 39*j**3 - 1529*j**2 - 1367*j**2.
-80*j**3
Collect the terms in 7282*x**2 - 79 + 147 - 74 - 7275*x**2.
7*x**2 - 6
Collect the terms in -65 - 12*t**2 - 234 - 24 - 48 - 30*t
|
{
"pile_set_name": "DM Mathematics"
}
|
v) = v**3 - 4*v**2 + 3*v - 4. Calculate m(5).
36
Let d(y) = 20*y - 877. Give d(44).
3
Let k(n) = -n**3 + 39*n**2 + 81*n - 7. Determine k(41).
-48
Let g(j) = 2*j**2 + 3*j - 3. Determine g(-6).
51
Let z(s) = -3*s**2 + 2*s + 4. Calculate z(3).
-17
Let w(x) = x**2 + 9*x + 8. What is w(-5)?
-12
Let t(s) = s**2 - 15*s - 2. Determine t(12).
-38
Let o(n) = -15*n - 45. Calculate o(-3).
0
Let r(k) = 93*k**2 + 3*k + 3. Calculate r(-1).
93
Let o(t) = 45*t - 34. Calculate o(1).
11
Let k(z) = 6*z**2 + 3*z - 2. Determine k(1).
7
Let p(g) = 21*g. What is p(1)?
21
Let w(k) = -2*k + 6. What is w(7)?
-8
Let u(s) = -s**3 + 11*s**2 - 13*s - 9. Determine u(7).
96
Let c(x) = -2*x**2 + 16*x + 8. Calculate c(6).
32
Let f(w) = -w**2 - 21*w + 11. What is f(-21)?
11
Let j(w) = w**2 + 17*w + 78. Determine j(-8).
6
Let o(f) = -f**3 - 5*f**2 + 2*f - 6. What is o(-6)?
18
Let w(p) = 4*p**3 + 17*p**2 + 25*p + 9. What is w(-1)?
-3
Let i(c) = 4*c**2 + 51*c - 59. Determine i(-14).
11
Let s(h) = -10*h + 164. Calculate s(18).
-16
Let u(p) = -p**3 - 12*p**2 - 12*p - 20. Determine u(-11).
-9
Let b(q) = q**3 + 2*q**2 - 11*q - 4. What is b(-5)?
-24
Let c(n) = 3*n + 7. Determine c(-3).
-2
Let h(b) = b**3 - 7*b**2 + 5*b + 9. What is h(6)?
3
Let x(o) = 2*o**2 - 2*o - 1. Calculate x(2).
3
Let n(v) = 2*v - 5. What is n(7)?
9
Let n(y) = -y + 2. Determine n(-17).
19
Let b(v) = -7*v + 28. Give b(6).
-14
Let t(c) = -4*c**3 - 10*c**2 - 11*c - 4. Calculate t(-4).
136
Let d(f) = 2*f**2 - 27*f + 76. What is d(4)?
0
Let h(u) = -u. Calculate h(6).
-6
Let h(u) = 3*u + 14. Give h(3).
23
Let d(a) = 3*a - 22. What is d(8)?
2
Let d(y) = y**3 - 5*y**2 - y - 6. Calculate d(5).
-11
Let m(b) = -b - 17. Determine m(27).
-44
Let z(d) = 8*d - 77. Give z(9).
-5
Let v(a) = 6*a - 64. Determine v(12).
8
Let b(t) = t**3 + 19*t**2 - 41*t + 14. Calculate b(-21).
-7
Let n(u) = u + 11. Determine n(-8).
3
Let o(j) = 5*j - 272. Determine o(45).
-47
Let d(g) = -g**3 - 3*g**2 + 4*g + 2. Determine d(2).
-10
Let s(d) = 3*d - 40. Give s(17).
11
Let y(o) = o**3 - 8*o**2 + 8*o - 2. Determine y(6).
-26
Let n(f) = 8*f + 1. Determine n(-1).
-7
Let j(v) = -20*v + 6. Give j(-7).
146
Let p(i) = -2*i + 34. Calculate p(0).
34
Let z(l) = 2*l - 14. Determine z(7).
0
Let l(x) = x**3 - 13*x**2 - 30*x - 21. Give l(15).
-21
Let y(c) = c**2 - 4*c - 21. What is y(8)?
11
Let p(v) = v + 12. What is p(-8)?
4
Let r(l) = -39*l + 7. Calculate r(3).
-110
Let j(o) = 24*o - 102. Determine j(4).
-6
Let g(s) = -36*s. What is g(1)?
-36
Let b(y) = -y**3 - 35*y**2 - 32*y + 72. What is b(-34)?
4
Let n(w) = -7*w. What is n(-9)?
63
Let p(m) = -m**3 - 32*m**2 + 3*m + 96. What is p(-32)?
0
Let i(b) = b**2 + 7*b - 1. Give i(-13).
77
Let x(o) = -o**3 - 7*o**2 + 5*o + 11. Calculate x(-7).
-24
Let s(c) = c**2 + 5*c - 1. Calculate s(-4).
-5
Let h(o) = -o + 69. Determine h(0).
69
Let r(x) = x**3 + 9*x**2 - 7*x - 3. Calculate r(-10).
-33
Let y(x) = -x**3 - 11*x**2 - x - 20. Determine y(-11).
-9
Let x(o) = -16*o - 227. What is x(-15)?
13
Let u(s) = -2*s. Give u(1).
-2
Let w(b) = -12*b + 170. Give w(14).
2
Let i(g) = -6*g**2 + 22*g + 4. Determine i(4).
-4
Let g(a) = 2*a + 37. Give g(-5).
27
Let c(w) = 2*w - 66. Calculate c(25).
-16
Let r(g) = g + 15. What is r(-11)?
4
Let z(t) = t**3 - 8*t**2 - 3*t + 8. Calculate z(8).
-16
Let x(d) = d**3 + 16*d**2 - 42*d - 113. Determine x(-18).
-5
Let s(o) = -o**3 - 6*o**2 - 2*o - 7. Give s(-6).
5
Let d(z) = -z**2 + 18*z - 33. Calculate d(15).
12
Let u(f) = -f**3 - 14*f**2 - 17*f - 37. What is u(-13)?
15
Let a(n) = -6*n**2 - 70*n + 29. What is a(-12)?
5
Let i(f) = 22*f - 465. Calculate i(22).
19
Let d(g) = -g**3 + 13*g**2 - 26*g - 30. What is d(10)?
10
Let y(w) = w**2 + 20*w - 190. What is y(7)?
-1
Let d(r) = -6*r + 3. What is d(1)?
-3
Let o(g) = 4*g - 10. Calculate o(6).
14
Let a(z) = 9*z - 5. Give a(-4).
-41
Let x
|
{
"pile_set_name": "DM Mathematics"
}
|
by j?
29
Suppose 27 = 5*y - 43. Calculate the remainder when 55 is divided by y.
13
Let y(f) = 2*f + 16. What is the remainder when y(0) is divided by 6?
4
Suppose -q + 10*q = 594. What is the remainder when q is divided by 14?
10
Suppose -4*r + 4 = 24. What is the remainder when 4 is divided by (-21)/(-15) - 3/r?
0
Let y(n) = -n + 1. Let v be y(0). Calculate the remainder when v - 3*(-4)/2 is divided by 2.
1
Let z(g) = -5*g**3 + 3*g**2 + 3*g. Let n = -2 - -2. Let m = n - 2. Calculate the remainder when z(m) is divided by 16.
14
Let z(h) be the first derivative of h**4/4 + 2*h**3 + h**2 - 2*h + 1. Calculate the remainder when z(-4) is divided by (8/(-6))/(2/(-18)).
10
Let a(r) = r + 12. What is the remainder when 11 is divided by a(-9)?
2
Suppose 4*a + l - 279 = 0, 3*a - 2*l = -2*a + 365. Calculate the remainder when a is divided by 18.
17
Calculate the remainder when 20 is divided by (-4)/6*(-66)/4.
9
Let z(v) = 3*v**2 - 5*v - 5. Suppose -r - 15 = -2*b - 5, -3*b = 5*r - 28. Calculate the remainder when z(b) is divided by 25.
23
Let u(o) = 6*o - 14. Calculate the remainder when 27 is divided by u(5).
11
Suppose -2*r + 3*x + 21 = r, -4*x - 4 = 0. Suppose 0 = 4*b + 5*z + 4, 5*b - 24 = 4*z - 3*z. What is the remainder when r is divided by b?
2
Let b = 1 + 3. Let a = 16 - b. Let v = -234 + 241. What is the remainder when a is divided by v?
5
Let c = 42 + -30. Suppose -s - a + 17 = -2*a, -100 = -5*s + 2*a. What is the remainder when s is divided by c?
10
Let a(k) = 2*k**2 + 4*k + 4. What is the remainder when 14 is divided by a(-2)?
2
Suppose -i = 4*i - 130. Calculate the remainder when 76 is divided by i.
24
Suppose 34 = w + 2*m, -1 = w - 6*m + m. Calculate the remainder when w is divided by 7.
3
Suppose 0*q = -q - 3*v + 41, -4*q - 5*v = -129. What is the remainder when 101 is divided by q?
23
Let j = -19 + 34. Suppose -4*g - 48 = -5*x, g = -x + 5*x - 34. Calculate the remainder when j is divided by x.
7
Calculate the remainder when 20 is divided by (-3)/(-6)*(23 + -1).
9
Suppose -7 - 3 = 5*p - 5*r, -2*p - 10 = -5*r. Calculate the remainder when 45 is divided by (p + (-23)/3)*-3.
22
Suppose -5*k = 4*l - 132, 138 = 5*k - 2*l + 3*l. Suppose -2*f + k = -0*f. Calculate the remainder when f is divided by 4.
2
Suppose -31 + 4 = -3*k. Let g be (-12)/k*36/8. Let v(l) = -2*l + 1. What is the remainder when v(g) is divided by 8?
5
Let w(l) = l**2 + l - 2. Suppose 2*z + 11 = 2*y + 1, -z - 8 = -2*y. Let a be w(y). Suppose -3*h + a = -32. Calculate the remainder when 27 is divided by h.
13
Let t(s) = -s**2 + s + 46. Calculate the remainder when t(0) is divided by 16.
14
Suppose 10*v = 6*v + 96. Calculate the remainder when 45 is divided by v.
21
Suppose -343 = -10*i - 93. Calculate the remainder when 95 is divided by i.
20
Let c = -2 - -2. Suppose c*h = -4*h + 36. Let y = h + 3. What is the remainder when 23 is divided by y?
11
What is the remainder when 1*(416/2)/4 is divided by 7?
3
Let j(v) = 2*v**2 - v. Let d(g) = 3*g**2 + 2 - 4*g**2 + 1 - 3*g + 3*g**2. Calculate the remainder when d(2) is divided by j(-1).
2
Calculate the remainder when 189 is divided by 24/9*(-135)/(-36).
9
Let x(q) = 2*q - 4. Let f be x(8). Let v = f + -7. What is the remainder when v is divided by 4?
1
Calculate the remainder when 97 + 1 + 20 + -19 is divided by 20.
19
Suppose -5*u - z = 2*z, 4*u - 3*z = 0. Let n(v) = -6*v + 1. What is the remainder when n(-4) is divided by (u + 0 + 1)*9?
7
Let k(t) = 2*t**2 + 13*t + 11. Calculate the remainder when k(-9) is divided by 21.
14
Let v(m) = -m**2 - 13*m - 19. Calculate the remainder when 97 is divided by v(-10).
9
Let c be 0 + -1 - (6 - -18). Let v = c - -30. What is the remainder when 11 is divided by v?
1
Let c(q) = q**2 + q + 2. Let k be c(-2). Let b(r) = r - 3. Let z be b(4). Suppose k*o - 17 = -z. Calculate the remainder when 5 is divided by o.
1
Suppose -4*z + 9 = -3*z. Let o(s) be the first derivative of s**3 + s**2/2 + 2. What is the remainder when z is divided by o(1)?
1
Calculate the remainder when 44 is divided by (10/(-4))/((-9)/54).
14
Suppose 2*z - 5*w - 10 = z, -4*z - 3*w = -155. What is the remainder when z is divided by 19?
16
Let r(f) = 7*f**3 - 2*f**2 + 1. Let g be r(1). Suppose -k = -2*a, k = 3*a + 2*a - g. Calculate the remainder when 6 is divided by a.
0
Let x(t) = -t**2 - 12*t - 17. Calculate the remainder when 19 is divided by x(-9).
9
Let v be -2*1/(-2) + -1. Let o = 9 - v. Calculate the remainder when (1 + -3 - 23)*-1 is divided by o.
7
Let p(h) = h**3 - h**2 + h. Let y(q) = 2 - 4 + 1 - q + 0. What is the remainder when y(-2) is divided by p(1)?
0
Let y(c) = -c**2 - c + 8. Let d be y(0). Let l = d + 5. Let i(s) = s**2 + 6*s + 7. Calculate the remainder when l is divided by i(-6).
6
Let f be -10 + 17 - (4 - 1). Suppose -f*l + 23 = -1. What is the remainder when 11 is divided by l?
5
Let s = 14 + -4. Let u(l) = l - 7. Let y be u(s). Suppose 0 = 8*m - y*m - 105. What is the remainder when 60 is divided by m?
18
Let v(c) = c**2 - 3*c + 3. Calculate the remainder when v(5) is divided by 4.
1
Suppose -10 = -2*o - 6*z + 2*z, -5*o = -z - 25. Suppose -72 = x - o*x. Calculate the remainder when x is divided by 10.
8
Suppose -3*n + 27 = i, 3*n - 5*i + 18 =
|
{
"pile_set_name": "DM Mathematics"
}
|
21. Round q to the nearest 10.
-40
Let r = -1 - -4. Let i be (-879)/(-3) - (r - 0). Round i to the nearest one hundred.
300
Let k be 1 + -1 + 0 + -17400. What is k rounded to the nearest 1000?
-17000
Suppose -3*q - 2*s + 12 = 0, 5*s = -4*q + 4 + 12. Let d = -7 + q. Let p be (102 + 1 + d)*-15. Round p to the nearest one thousand.
-2000
Let v(u) = 3763*u**3 - 16*u**2 - 13*u - 4. Let p be v(12). What is p rounded to the nearest 1000000?
7000000
Let y = -14.3 - -0.3. Let f = y + 13.972. What is f rounded to two decimal places?
-0.03
Let q = -0.01 + 6.01. Let v = 5.5 - q. What is v rounded to 1 decimal place?
-0.5
Let o be (-33996)/(-2) - 0 - (0 + -2). What is o rounded to the nearest 10000?
20000
Let x = -27.03 - -28. Round x to 1 dp.
1
Let n = -0.322 - 0.001. What is n rounded to 2 dps?
-0.32
Let q = -33 + 33.19. Let j = 0.52 - q. What is j rounded to 1 decimal place?
0.3
Let t = -591.972165 - -592. Let g = t + -0.028. What is g rounded to five dps?
-0.00017
Let x = 1534 - 1544.53. Let k = 11 + x. Round k to 1 dp.
0.5
Let m = 11641.57 + -11640.570062. Let z = m + -1. Round z to five decimal places.
-0.00006
Let z be (-1*2 + 22)/((-7)/(-2695000)). Round z to the nearest one million.
8000000
Let p = 0.024 + -0.133. Let g = -1.049 - p. Round g to one decimal place.
-0.9
Let p = -11060 - -11035.187. Let z = -26.09 - p. Let x = z - -1.19. What is x rounded to two decimal places?
-0.09
Let w = 12.651586859 - 55776.451582859. Let p = -55764 - w. Let u = 0.2 + p. Round u to six decimal places.
-0.000004
Let w = -1663 + 753. Suppose -c - 721 = 2*d, 1078 = -3*d - 2*c + 4*c. Let r = w - d. What is r rounded to the nearest one hundred?
-600
Let l(i) = 306*i - 22. Let a be l(7). What is a rounded to the nearest one hundred?
2100
Suppose 0 = l - 2*l + 6400000. Round l to the nearest one million.
6000000
Let p = -285.00261 - -285. What is p rounded to four dps?
-0.0026
Let u = -11 - -13. Suppose u*i = -5*h - 65, -3*h + 3*i - 39 = -2*i. Round h to the nearest 10.
-10
Let o = -47 - -46.99933. What is o rounded to 4 decimal places?
-0.0007
Let k = 57341204.985399962 + 0.014600038. Let h = k + -57341205.30000017. Let n = 0.3 + h. Round n to seven decimal places.
-0.0000002
Let h = 0.9 + -6.9. Let m = h + 9. Let u = m - 3.0008. What is u rounded to three dps?
-0.001
Suppose 4*p + 22242273 = 7*p. Suppose -f + p + 2192261 = 0. Let x = -1606352 + f. Round x to the nearest 1000000.
8000000
Let f = -29.0093 + 29. What is f rounded to three dps?
-0.009
Let s = 0.2999984 + -0.3. Round s to six dps.
-0.000002
Let w(g) = 4803*g + 12. Let l = 5 + -9. Let i be w(l). Round i to the nearest 1000.
-19000
Suppose -o = -2*o - 2. Let i be 4/(-2)*2500001 - o. What is i rounded to the nearest one million?
-5000000
Let l = 0.02 + -0.012. What is l rounded to 2 dps?
0.01
Let g = -7 - -11. Suppose g*n = -0*n + 573064. Suppose n - 893269 = m - i, -2250015 = 3*m - 5*i. Round m to the nearest 100000.
-800000
Let b = 1.722 + -0.182. Let f = -0.04 + b. Let c = f - 1.50009. Round c to four dps.
-0.0001
Let p = -0.039 - -30.039. Let b = p - 28.83. What is b rounded to 1 dp?
1.2
Let k = -2934046 + 2934000.65026. Let z = k - -45.13. Let y = z + 0.22. Round y to 4 decimal places.
0.0003
Let u = 4.5 + -3. Let c = 1.49999931 - u. What is c rounded to seven dps?
-0.0000007
Let i be 8599996/(-10) - 22/55. What is i rounded to the nearest one hundred thousand?
-900000
Suppose -3*i - 4 = -5*b, 5*i = b + 2*b + 4. Suppose 0 = 5*v, -i*o + 2*v = -v + 12000. Round o to the nearest one thousand.
-6000
Let h = 12978313 - 6578313. Suppose -2*k = -k + h. Round k to the nearest 1000000.
-6000000
Let q(i) = 128331*i + 14. Let y be q(6). What is y rounded to the nearest 100000?
800000
Let f = 26032557.4999922 - 26032567. Let l = 9.5 + f. What is l rounded to six dps?
-0.000008
Let a = -744 + 751.62. Round a to zero decimal places.
8
Let t be 0 + 1 - 8/8. Let s be -1 + -1*(1 + t). Let v be 2548008/28 - s/(-7). Round v to the nearest 10000.
90000
Let p be (198 - -2)*(-63000)/(-2). Round p to the nearest one million.
6000000
Let a = 2.100005 - 2.1. Round a to five dps.
0.00001
Let y = 9 + -7.7. Let v = y - -0.1. Let w = v + -1.4000014. What is w rounded to 6 dps?
-0.000001
Let m = -148.43991 - -148.4. Let d = 0.04 + m. What is d rounded to four dps?
0.0001
Let m = 11 - 20. Let o(a) = 2778*a + 2. Let d be o(m). What is d rounded to the nearest ten thousand?
-30000
Let o = 0.06 + -0.0599976. What is o rounded to 6 dps?
0.000002
Let q = 0.47 + -0.47000328. What is q rounded to 7 decimal places?
-0.0000033
Let k = -6 + 20. Let l = k - 10. Let v = l - 3.99999986. Round v to seven dps.
0.0000001
Suppose 0*y + 887940 = 4*y. Suppose 3*l - 2*a = -l - 295990, -3*l - y = -3*a. Round l to the nearest 10000.
-70000
Let p = 0.3578 + -5.9465. Let j = 5.6 + p. Round j to three decimal places.
0.011
Let c = -0.45 - -0.4500095. Round c to 6 decimal places.
0.00001
Let p = -1.99 + -0.01. Let b = p + 1.978. Round b to 2 dps.
-0.02
|
{
"pile_set_name": "DM Mathematics"
}
|
52, -2874712, -5110596?
-319412*y**2 - 4
What is the l'th term of 277, 609, 937, 1261?
-2*l**2 + 338*l - 59
What is the r'th term of 227, 385, 539, 689, 835, 977, 1115?
-2*r**2 + 164*r + 65
What is the r'th term of -816, -812, -800, -780, -752?
4*r**2 - 8*r - 812
What is the o'th term of -1921, -2119, -2447, -2905, -3493, -4211, -5059?
-65*o**2 - 3*o - 1853
What is the b'th term of 10102, 20141, 30184, 40231?
2*b**2 + 10033*b + 67
What is the u'th term of 5761, 23039, 51865, 92263, 144257, 207871, 283129?
4*u**3 + 5750*u**2 + 7
What is the c'th term of -7032, -56067, -189128, -448227, -875376, -1512587?
-7002*c**3 - c**2 - 18*c - 11
What is the r'th term of 107, -311, -1009, -1987?
-140*r**2 + 2*r + 245
What is the b'th term of -7772, -7753, -7734, -7715?
19*b - 7791
What is the v'th term of 3590, 3602, 3614, 3626?
12*v + 3578
What is the l'th term of 9073, 9204, 9425, 9742, 10161?
l**3 + 39*l**2 + 7*l + 9026
What is the d'th term of -206, -366, -526?
-160*d - 46
What is the d'th term of -2541, -5072, -7601, -10128, -12653?
d**2 - 2534*d - 8
What is the t'th term of -21, 251, 523, 795, 1067, 1339?
272*t - 293
What is the v'th term of 283, 568, 851, 1132, 1411, 1688?
-v**2 + 288*v - 4
What is the p'th term of 1054319, 1054320, 1054321, 1054322, 1054323?
p + 1054318
What is the i'th term of -80, -36, -4, 16, 24?
-6*i**2 + 62*i - 136
What is the o'th term of -12152, -12129, -12090, -12035, -11964, -11877, -11774?
8*o**2 - o - 12159
What is the f'th term of -3523, -14169, -31921, -56785, -88767, -127873, -174109, -227481?
-f**3 - 3547*f**2 + 2*f + 23
What is the h'th term of 133, 443, 753?
310*h - 177
What is the d'th term of 88, 78, 86, 112?
9*d**2 - 37*d + 116
What is the w'th term of 99, 110, 121, 132, 143, 154?
11*w + 88
What is the y'th term of 523, 2083, 4671, 8275, 12883, 18483, 25063, 32611?
-2*y**3 + 526*y**2 - 4*y + 3
What is the c'th term of -1823, -1799, -1775, -1751, -1727?
24*c - 1847
What is the m'th term of 922, 898, 864, 820, 766, 702, 628?
-5*m**2 - 9*m + 936
What is the q'th term of -1278353, -2556706, -3835059, -5113412, -6391765?
-1278353*q
What is the t'th term of -503, -2197, -5015, -8951, -13999, -20153, -27407?
t**3 - 568*t**2 + 3*t + 61
What is the u'th term of -44498, -44471, -44444, -44417, -44390?
27*u - 44525
What is the m'th term of 83596, 83586, 83576, 83566?
-10*m + 83606
What is the m'th term of -24, 333, 918, 1731, 2772, 4041, 5538?
114*m**2 + 15*m - 153
What is the v'th term of -3398, -13761, -31080, -55355, -86586, -124773?
-3478*v**2 + 71*v + 9
What is the u'th term of 21, 76, 161, 276, 421?
15*u**2 + 10*u - 4
What is the x'th term of 15241, 15260, 15291, 15334, 15389, 15456, 15535?
6*x**2 + x + 15234
What is the h'th term of 142517, 142527, 142543, 142565, 142593, 142627, 142667?
3*h**2 + h + 142513
What is the m'th term of 2811, 2810, 2797, 2766, 2711, 2626, 2505, 2342?
-m**3 + 6*m + 2806
What is the w'th term of -868, -872, -874, -874, -872, -868?
w**2 - 7*w - 862
What is the y'th term of -811, -3387, -7687, -13711, -21459?
-862*y**2 + 10*y + 41
What is the f'th term of -18060, -18061, -18062, -18063, -18064, -18065?
-f - 18059
What is the o'th term of 39981, 79971, 119981, 160017, 200085?
o**3 + 4*o**2 + 39971*o + 5
What is the n'th term of 201, 223, 241, 255, 265, 271?
-2*n**2 + 28*n + 175
What is the u'th term of -97706, -97708, -97710, -97712, -97714?
-2*u - 97704
What is the q'th term of 217439, 217438, 217437, 217436, 217435, 217434?
-q + 217440
What is the m'th term of 82, 180, 308, 466?
15*m**2 + 53*m + 14
What is the r'th term of 10547, 10544, 10539, 10532, 10523, 10512?
-r**2 + 10548
What is the k'th term of 11024, 22186, 33348, 44510?
11162*k - 138
What is the t'th term of 2666, 5318, 7970?
2652*t + 14
What is the b'th term of -68364, -68359, -68354?
5*b - 68369
What is the z'th term of 2796, 6237, 9688, 13155, 16644, 20161?
z**3 - z**2 + 3437*z - 641
What is the b'th term of -47, -112, -257, -512, -907, -1472, -2237?
-5*b**3 - 10*b**2 - 32
What is the c'th term of -4256, -16895, -37960, -67451, -105368, -151711, -206480?
-4213*c**2 - 43
What is the s'th term of 171972, 171986, 172000, 172014?
14*s + 171958
What is the j'th term of -4018, -8207, -12398, -16591, -20786, -24983?
-j**2 - 4186*j + 169
What is the i'th term of -900, -3555, -7954, -14097, -21984, -31615,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3*k**2 - u*k**2 - 7*k**4 wrt k.
-168*k
Let p(b) = 194*b**3 - 7*b - 21. Let i(j) = -96*j**3 + 3*j + 10. Let n(w) = -5*i(w) - 2*p(w). Find the second derivative of n(f) wrt f.
552*f
Find the second derivative of 66*u - 8*u**2 - 13155*u**3 + 13160*u**3 + 34*u wrt u.
30*u - 16
What is the third derivative of 3*x + 583*x**3 - 824*x**3 + 56*x + 2*x**2 wrt x?
-1446
Differentiate 373*r + 59 - 2 + 31 wrt r.
373
Let v(n) = n**2 - 5*n + 1. Let l be v(5). Let f be (-3)/(l + 1 + -3). What is the second derivative of -5*i + 5*i**4 + f*i + i**4 wrt i?
72*i**2
Let n = -838 - -842. Let b(p) be the third derivative of 0*p + 6*p**2 + 0 + 5/24*p**n - 7/6*p**3. Differentiate b(u) with respect to u.
5
Let o(c) = -81*c**4 + 2*c**3 + 2*c**2 + 221*c + 2. Let i(d) = -d**2 - d. Let l(w) = 2*i(w) + o(w). Find the second derivative of l(h) wrt h.
-972*h**2 + 12*h
Suppose -5*g + 33 = 3. Let b(w) = w**3 - 5*w**2 - 7*w + 8. Let l be b(g). What is the third derivative of -s**4 + 5*s**2 - 4*s**4 - 2*s**4 + 3*s**l wrt s?
-168*s
Let b(q) be the first derivative of 61*q**2/2 - 53*q + 39. Find the first derivative of b(w) wrt w.
61
Let o(z) be the third derivative of 43*z**7/42 - 47*z**3 - 196*z**2 - z. What is the first derivative of o(k) wrt k?
860*k**3
Let x(t) = -43*t + 19. Let c(l) be the third derivative of 11*l**4/6 - 10*l**3/3 - 29*l**2. Let w(i) = 6*c(i) + 7*x(i). Differentiate w(p) wrt p.
-37
Let q(h) be the first derivative of -11*h**6/15 - 19*h**4/6 + 33*h - 8. Let w(s) be the first derivative of q(s). What is the third derivative of w(m) wrt m?
-528*m
Let g = -25 + 29. What is the derivative of 13*h**4 - 2 + 4 - 5*h**g + h**4 wrt h?
36*h**3
Suppose -6*t = -42 - 60. Let i = t - 25. Let y(d) = 2*d - 26. Let n(z) = z - 9. Let f(s) = i*n(s) + 3*y(s). Find the first derivative of f(x) wrt x.
-2
Let f(q) = -2*q**2 + 32*q - 28. Let k be f(15). What is the third derivative of -10*d**2 - 31*d**5 + 5*d**2 + 19*d**2 + 3*d**k wrt d?
-1860*d**2
Suppose -4 = -4*n + 28. Let p = n - 7. Differentiate -2*i**2 + p + 3 - 6 with respect to i.
-4*i
Let j be (-35)/(3*(-2)/6). Let n = j - 33. Find the third derivative of 3*u**n - 40 - 8*u**3 + 40 wrt u.
-48
Let k(y) be the second derivative of 0*y**3 + 13*y + 0*y**5 + 0*y**4 - 8*y**2 - 7/15*y**6 + 0. What is the first derivative of k(q) wrt q?
-56*q**3
Find the third derivative of 202*h**3 - 181*h**2 - 104*h**2 + 50*h**3 - 217*h**2 wrt h.
1512
Find the first derivative of -8 - 12*c**3 - 153*c + 30*c**3 - 19*c**3 wrt c.
-3*c**2 - 153
Let t(o) be the first derivative of o**5/5 + o**4 + 44*o**3/3 + 30. Find the third derivative of t(g) wrt g.
24*g + 24
Find the third derivative of -8 + 29*z**2 + 16 + 146*z**4 - 5 wrt z.
3504*z
Let i(o) = 4*o**3 + 3*o + 3. Let u be i(-2). Let z = u - -65. What is the derivative of -z + 0*c + 34 - 4*c wrt c?
-4
Let l(q) be the first derivative of -91*q**4/4 + 95*q + 35. Differentiate l(f) with respect to f.
-273*f**2
What is the third derivative of 44 - 20 + 2*u + 49*u**2 - 16 - 220*u**3 - 8 wrt u?
-1320
Let a = -30 - -13. Let l = 0 - a. What is the derivative of -5*t + 3 + 0 + l*t - 2*t wrt t?
10
Let u(m) be the second derivative of -13*m + 0*m**3 - 2*m**2 + 0 - 1/12*m**4. What is the derivative of u(i) wrt i?
-2*i
Suppose -f + 7 = 4. Suppose f*b + 16 = 7*b. What is the second derivative of 6*s**3 + b*s - 2*s - s wrt s?
36*s
Let a(k) = 17*k + 4. Suppose -3*y + 18 = -3*p, 4*p + 5*y + 5 + 10 = 0. Let b(g) = -g + 1. Let d(z) = p*b(z) - a(z). What is the derivative of d(t) wrt t?
-12
Suppose -17 = 4*c - 1. Let p = c - -9. Find the third derivative of -w**2 + 3 - 2*w**2 - 3 - p*w**3 wrt w.
-30
Let t(c) = -205*c**2 + 781*c - 51. Let h(d) = 103*d**2 - 390*d + 31. Let w(g) = -5*h(g) - 3*t(g). What is the second derivative of w(m) wrt m?
200
Let p(z) = 3*z**3 + 2*z**2 - 104*z + 3. Let g(c) = -6*c**3 - 3*c**2 + 209*c - 5. Let v(b) = 3*g(b) + 5*p(b). Find the second derivative of v(y) wrt y.
-18*y + 2
Let h = -11 - -17. Let j be 10 + 0 + (0 - 4). What is the third derivative of -h*w**5 - 4*w**2 + j*w**2 - 3*w**2 wrt w?
-360*w**2
Let j(x) be the first derivative of -629*x**5/5 - 400*x + 330. Differentiate j(v) wrt v.
-2516*v**3
Let m(g) be the second derivative of 17*g**7/210 - g**5/4 + 7*g**2 - 21*g. Let p(d) be the first derivative of m(d). What is the third derivative of p(q) wrt q?
408*q
Suppose -b - 5*u = 4*b + 40, b + 3*u = 0. Let y(c) = c**2 + 12*c + 7. Let m be y(b). Find the first derivative of -1 + 7*x
|
{
"pile_set_name": "DM Mathematics"
}
|
ative of d(b) wrt b?
-60*b**2
Let i(k) be the first derivative of -k + 1 + 1/6*k**3 + 3/2*k**2. Let j(c) be the first derivative of i(c). Find the first derivative of j(a) wrt a.
1
What is the second derivative of 42*l**3 - 2*l + 2*l**4 + 3*l - 42*l**3 wrt l?
24*l**2
What is the derivative of 18*r**2 - 29 - 6 + r**2 - 18 wrt r?
38*r
Let w(k) be the first derivative of 1 + 5*k + 0*k**4 + 2 - 2 - k**4. What is the first derivative of w(x) wrt x?
-12*x**2
Let i be 0 + (-1 - -1) + 0. Let r(y) = -y**2 - 21*y - 36. Let p be r(-19). Find the third derivative of 0*m**6 + 3*m**6 + p*m**2 + i*m**2 - 3*m**2 wrt m.
360*m**3
Let i be -3 - 6*2/(-4). What is the first derivative of 2*d - 5*d + 2 + i - 1 wrt d?
-3
Let t(a) be the second derivative of a**5/20 - a**4 + 3*a. Find the third derivative of t(y) wrt y.
6
Let k(v) = -12*v**3 + 5*v + 3. Let h(q) = -q**3 - q + 1. Let x(i) = -3*h(i) + k(i). What is the second derivative of x(m) wrt m?
-54*m
Let l(c) be the first derivative of -7*c**5/5 - 2*c**2 - 7. Find the second derivative of l(u) wrt u.
-84*u**2
Let u(k) = 10*k**4 + 4*k**2 - 19. Let g(z) = -110*z**4 - 45*z**2 + 210. Let r(b) = -4*g(b) - 45*u(b). What is the first derivative of r(p) wrt p?
-40*p**3
Let p(q) = -q**2 + q. Let h(y) = -17*y**4 + y**3 - 3*y**2 + 3*y + 22. Let b(t) = 2*h(t) - 6*p(t). What is the derivative of b(g) wrt g?
-136*g**3 + 6*g**2
Suppose o = -0 + 1. Let v = o + 0. What is the third derivative of -v - 2*j**2 - 2*j**5 + 1 wrt j?
-120*j**2
Suppose -w - 20 = 3*w - 2*b, 0 = w - 3*b + 5. Let z = -2 - w. What is the second derivative of 5*v**3 - v - z*v**3 + 2*v wrt v?
12*v
Let y(d) be the third derivative of -d**9/36 - 19*d**5/60 + 14*d**2. Find the third derivative of y(m) wrt m.
-1680*m**3
Suppose 6 - 2 = 2*r. Find the second derivative of -2*b**2 + 5*b**2 + 3*b + 0*b**r - b wrt b.
6
Let v(z) be the first derivative of 53*z**6/6 + 13*z**3 + 55. What is the third derivative of v(p) wrt p?
3180*p**2
Find the first derivative of -b + b - 6*b**3 - 8 wrt b.
-18*b**2
Suppose 4*j - 4 = 2*j. Suppose -d = -j - 3. Find the second derivative of 2*a**5 + 2*a - 3*a**2 - 5*a**d + 3*a**2 wrt a.
-60*a**3
Let y(i) be the first derivative of 14*i**3/3 - 2*i + 16. What is the derivative of y(n) wrt n?
28*n
Let k(r) = -r**2 - 10*r + 1. Let y be k(-8). Let c = 25 - y. Differentiate 2 - c*j + 8*j + j**3 wrt j.
3*j**2
Suppose -4*x - 7 = -23. Find the second derivative of j**4 + 6*j**x - 3*j**4 - 4*j wrt j.
48*j**2
What is the first derivative of 6*z**2 - 5*z**2 - 8 - 5*z**3 - z**2 wrt z?
-15*z**2
Let z(s) = -s**4 + 4*s**3 + 3*s**2 - 4*s - 4. Let y(j) = j**4 - j**3 + j**2 + j + 1. Let u(v) = -4*y(v) - z(v). Find the third derivative of u(d) wrt d.
-72*d
Let k(u) be the second derivative of -3*u**4/4 + 7*u**2/2 + u. Find the first derivative of k(h) wrt h.
-18*h
Suppose -19 = -2*x + x + 4*u, x + 9 = -3*u. Find the second derivative of -m + 3*m**x + 3*m - 4*m**3 - m wrt m.
-6*m
Suppose 0 + 1 = -s. Let v be (8/s)/(0 - 2). What is the second derivative of v*t - 2*t**3 - t + 6*t**3 - 6*t wrt t?
24*t
Let g(h) = 1 + 4 - 3 - h**2 - h + 0*h**2. Let w(q) = 5*q**2 + 5*q - 11. Let l(y) = -11*g(y) - 2*w(y). What is the second derivative of l(v) wrt v?
2
Let l(d) = -d**4 + 4*d**3 - 11*d**2 + 4. Let j(u) = 2*u**4 - 11*u**3 + 32*u**2 - 11. Let i(x) = -4*j(x) - 11*l(x). Find the third derivative of i(f) wrt f.
72*f
Let j(t) = -17*t**2 + 9*t - 18. Let l(x) = 8*x**2 - 4*x + 9. Let g(m) = -4*j(m) - 9*l(m). Differentiate g(p) wrt p.
-8*p
Let w = 0 + 1. Let r be (w + 1)/2 + -6. Let v(f) = -f. Let l(u) = 3*u - 1. Let p(d) = r*v(d) - l(d). What is the derivative of p(b) wrt b?
2
Let v(y) = y**3 - 11*y**2 + 10*y + 4. Let r be v(10). Find the second derivative of f**5 + r*f**5 + 7*f - 4*f**5 wrt f.
20*f**3
What is the second derivative of 23*x + 18*x**4 - 17*x - 17*x wrt x?
216*x**2
Let y be (-1)/((8/(-6))/4). Find the first derivative of 0 - 4*s**3 + 2*s**3 - y*s**3 - 1 wrt s.
-15*s**2
What is the first derivative of -4 - 10*m - 6 - 6 + 0 wrt m?
-10
Let j(w) = -w**3 + 10*w**2 - 9*w - 6. Let c be j(9). Let t = -3 - c. What is the first derivative of -8 + 3 + t + 2*u wrt u?
2
Let b(n) be the third derivative of -11*n**4/6 + 17*n**3/6 - 38*n**2. What is the first derivative of b(z) wrt z?
-44
Let n(l) be the first derivative of l**7/21 - 5*l**4/12 + 8*l + 3. Let f(q) be the first derivative of n(
|
{
"pile_set_name": "DM Mathematics"
}
|
q = -148 - -591/4. Which is the nearest to q? (a) -0.16 (b) 2/9 (c) -0.4
a
Let u = -208.6 - -207.6. Which is the closest to -0.02? (a) -0.06 (b) -2 (c) u
a
Let x = -39/17 - -95/34. What is the closest to -0.2 in x, -5, 0.1, 1.5?
0.1
Let f = -0.275 + 0.055. Let t = 0.18 - f. Let m be (3/(-15))/(2/(-6)). Which is the closest to 0.1? (a) t (b) 2 (c) m
a
Let s = 0.018 + 2.982. Let p = s - -1. What is the closest to -0.08 in -0.4, p, -0.5?
-0.4
Let b(a) = 2*a**2 - 10*a + 17. Let x be b(3). Let m = -2 - -2.05. What is the closest to m in x, 0.1, -0.3?
0.1
Let i = -0.325 + -0.075. Suppose -550 = 3*z + 2*z. Let d be (-2)/(-11) + (-35)/z. What is the closest to d in i, -1, 1?
1
Let u = -985 - -985.2. Which is the closest to u? (a) -0.2 (b) 3 (c) 2/3
a
Let k = -15.71 + 15.61. What is the nearest to -31 in 2/3, 3, k?
k
Let m be ((-84)/9 - -4)*(-3)/(-2). Let w be 2/m - 1/4. Which is the nearest to 2/7? (a) 0 (b) w (c) -3
a
Suppose -220*u = -223*u - o + 17, 5*o = -3*u + 37. Which is the closest to -1/5? (a) 1/4 (b) 2 (c) u (d) -0.1
d
Let s = 1721 - 1721.1. Let g = 0 + -1. What is the closest to g in s, -4, -0.3?
-0.3
Let u = 14 - 13.9. Let j(q) = q - 1. Let l be j(4). Which is the closest to u? (a) 2/33 (b) l (c) 0.3
a
Suppose 12 - 21 = -3*k. Let y = -8 + 4. Let r = -3 - y. Which is the nearest to r? (a) 4 (b) k (c) 0.3
c
Let p = 28759/11502 - 2/5751. Which is the closest to 2/7? (a) 1 (b) p (c) -0.1 (d) -1.4
c
Let r = -78.7 + 79. Let t = -0.6 - -1.4. Let y = t + -0.5. Which is the nearest to r? (a) 0.4 (b) y (c) 1/4
b
Let k be 1/(-2) - (10 - 429/42). Which is the closest to 53? (a) 5 (b) -1/4 (c) k
a
Let d = -32.033 + 0.033. Let c = d - -26. What is the closest to c in -0.5, -0.1, 3/7?
-0.5
Let v = -163 + 162. Let j = 0.1 - -0.1. What is the closest to j in v, -0.5, -4?
-0.5
Let j(x) = 3*x - 31. Let s(k) = 2*k - 21. Let f(z) = 5*j(z) - 7*s(z). Let r be f(7). Suppose -2 = -3*v + 5*v. Which is the closest to v? (a) 0 (b) r (c) 0.1
b
Let f = 178/3 - 176/3. Which is the closest to f? (a) 2 (b) 8.6 (c) -0.4
c
Let j = 49/144 - 9/16. Which is the nearest to 14? (a) -2 (b) j (c) 3
c
Let f(s) = s - 2. Let i be f(3). Let g = 1152.5 - 1153. Which is the closest to i? (a) 1/6 (b) -0.2 (c) g
a
Let d = 6 - 12. Let w = -273 + 273.1. What is the closest to w in -5, -4, d?
-4
Let o be 2/(-8) + (1 - 1). Let u = -20.2 - -20.111. Let y = u - -0.089. Which is the nearest to -0.2? (a) y (b) -5 (c) o
c
Let v = -329 + 329.1. Which is the nearest to v? (a) 4 (b) 3 (c) 10
b
Let r = 209 - 205. What is the nearest to -0.1 in 53, -2/3, r, -4?
-2/3
Let a be 1 - (3/3 + 1). Let v = -0.33 - 0.07. Let h = -2.6 + v. What is the closest to 0 in -0.1, a, h?
-0.1
Let m = -7.8 - -8.2. Which is the nearest to m? (a) -3/5 (b) 4 (c) -0.5
c
Let m = -528.6 + 529. Let q = -0.03 + -2.97. What is the nearest to q in m, 1/3, 1?
1/3
Let t be (0 - -3) + (-3)/3. Suppose 0*o = t*o - 2. Let h be o*-1*3/6. What is the nearest to h in -4, 0.4, 5?
0.4
Let u = -1 + 1. Let p = -0.358 - -0.058. Which is the closest to p? (a) -4 (b) 2/5 (c) u
c
Let g be 2/(-5) + (-188)/30. Let o = -6 - g. Let p be -10*((-48)/90)/(-4). Which is the closest to o? (a) p (b) 12 (c) -2/3
c
Let l = -0.3 + -3.7. Suppose 0 = h + 4, -4*b + 0*h = 2*h + 288. Let x = b + 492/7. What is the nearest to 1 in x, 2, l?
x
Let o = 1.25 + -0.25. Let q = -1.39 - -0.19. Which is the nearest to o? (a) 5 (b) -4 (c) q
c
Let g = 0.317 - 33.317. What is the closest to 1/2 in -0.5, g, -2/13?
-2/13
Let d = 0.12 - -4.88. Let q = 0.7 + -1.3. Let i = q - 1.4. Which is the nearest to 0? (a) d (b) 0.2 (c) i
b
Let x = 221 - 219. Which is the closest to 0.4? (a) -0.5 (b) x (c) 3 (d) -0.1
d
Let f = -7 + 29/4. Let n be (-10*(-10)/3875)/((84/35)/6). Which is the nearest to -0.1? (a) n (b) 2/3 (c) f
a
Suppose s = -3*s - 4*d + 16, 3*d - 10 = -5*s. Let q = 0 - 0.2. Let w = 4312 - 4312.1. What is the closest to w in 6, s, q?
q
Let r = 1.27 - 2.27. What is the closest to r in -0.1, 3, 0
|
{
"pile_set_name": "DM Mathematics"
}
|
24*z(l). Factor d(h).
3*h*(3*h + 2)
Let x be 0 - -4 - (5 + -196). Factor -195 + 4*c**2 + 8*c + x.
4*c*(c + 2)
Let r(s) be the third derivative of s**8/8960 + s**7/840 + s**6/240 + 7*s**4/12 - 3*s**2. Let l(n) be the second derivative of r(n). Solve l(u) = 0 for u.
-2, 0
Let p = 51 + -44. Factor -5*x + 7*x - 5*x**2 - p*x + 0*x**2.
-5*x*(x + 1)
Let g be -8*(-13 - 342/(-28)). Factor -30/7*j**3 - 16/7*j + 0 - g*j**2.
-2*j*(3*j + 2)*(5*j + 4)/7
Find y such that -9/2*y**5 - 69/2*y**2 + 0*y - 51/2*y**4 - 99/2*y**3 + 6 = 0.
-2, -1, 1/3
Let o be (8 - 10) + 2*-10. Let q be 43/55 - 2*(-2)/o. Factor 12/5 + q*s**2 + 12/5*s.
3*(s + 2)**2/5
Let y be (-24)/(-9) - 14/21. Suppose v - y*v - 3*f - 4 = 0, -5*v = -3*f - 16. Let 6*p - 4*p**v - 48 + 18*p + 12 = 0. Calculate p.
3
Let p(j) be the third derivative of j**7/840 - 17*j**6/240 + 289*j**5/240 + 61*j**2 + 1. Solve p(k) = 0.
0, 17
Let u(g) be the first derivative of g**6/12 + 3*g**5/10 + g**4/8 - g**3/2 - g**2/2 + 83. Let u(r) = 0. What is r?
-2, -1, 0, 1
Let f be 4/9*3060/(-816)*6/(-20). Suppose 1/8*r**3 + 0 - f*r**2 + 0*r = 0. Calculate r.
0, 4
Let g(o) be the third derivative of o**5/30 + 11*o**4/6 - 13*o**2 + 5*o. Factor g(h).
2*h*(h + 22)
Let u(d) be the second derivative of 7*d**5/40 + 13*d**4/12 + 5*d**3/3 - 2*d**2 + 15*d - 11. Factor u(m).
(m + 2)**2*(7*m - 2)/2
Factor 13 + 103/4*z + 25/2*z**2 - 1/4*z**3.
-(z - 52)*(z + 1)**2/4
Let l(b) be the first derivative of -b**6/15 - 12*b**5/25 + 18*b**4/5 - 16*b**3/3 + 306. Let l(i) = 0. What is i?
-10, 0, 2
Suppose -z + 1755 - 1755 = 0. Let b(w) be the third derivative of 0*w + 1/4*w**5 + 1/4*w**4 + w**2 + 0*w**3 + z. Solve b(d) = 0.
-2/5, 0
Solve 278*v**2 + 47526*v - 62*v**2 + 214566 + 2*v**3 + 318*v**2 + 1195372 = 0 for v.
-89
Suppose -30 = -4*q - q. Solve -3*d**5 - 15*d**4 + 9 - 30*d**3 - 6 - 15*d - q - 30*d**2 = 0 for d.
-1
Suppose -13 = -3*h + 2. Solve 10*s**3 - 13*s**2 + 13*s**2 + h*s**4 - 6*s**5 + s**5 = 0.
-1, 0, 2
Let g = 12044/11 - 1094. Let h(o) = -o**2 + 4. Let m be h(-2). Find d such that 8/11*d**5 + m*d**2 + 0*d + 2/11*d**3 + 0 - g*d**4 = 0.
0, 1/4, 1
Let s(m) be the first derivative of 2*m**3/9 + 3*m**2/5 - 4*m/15 + 1. Determine k so that s(k) = 0.
-2, 1/5
Let u be (-11 - (-6 + 2)) + 10. Suppose 3/2*r**5 + 0 - 9/2*r**u + 3*r**2 + 0*r**4 + 0*r = 0. Calculate r.
-2, 0, 1
Let w(f) be the third derivative of 5*f**9/3024 - f**8/560 - f**7/420 + 5*f**3/2 + 12*f**2. Let b(r) be the first derivative of w(r). Factor b(x).
x**3*(x - 1)*(5*x + 2)
Let i(z) be the second derivative of -1/21*z**4 + 0 + 38*z + 0*z**2 - 1/15*z**6 + 0*z**3 + 9/70*z**5. Determine k so that i(k) = 0.
0, 2/7, 1
Let k(b) = 2*b - 12. Let a be k(14). Let m be (2/4*a)/2. Factor -5*d + 4*d**2 + 5*d - m*d**4.
-4*d**2*(d - 1)*(d + 1)
Let j(g) be the first derivative of 28 + 8*g + 6*g**2 - 8/3*g**3. What is t in j(t) = 0?
-1/2, 2
Let y = -814 + 816. Let f(a) be the second derivative of -3/4*a**4 + 3/20*a**5 + 0 - 1/2*a**3 + 9/2*a**2 + y*a. Suppose f(w) = 0. What is w?
-1, 1, 3
Find c such that 40/7*c - 3/7*c**3 + 11/7*c**2 + 12/7 = 0.
-2, -1/3, 6
Let h(z) = 3*z**4 - 45*z**2 + 15*z - 9. Let f be ((-4)/(-5))/(2/5). Let d(u) = u**4 - 11*u**2 + 4*u - 2. Let j(l) = f*h(l) - 9*d(l). Factor j(m).
-3*m*(m - 1)**2*(m + 2)
Let x(i) be the first derivative of i**5/40 - i**4/24 - i**3/6 - 25*i - 33. Let s(g) be the first derivative of x(g). Let s(n) = 0. Calculate n.
-1, 0, 2
Factor 13 + 3*g**2 - 18*g + 11 + 0*g.
3*(g - 4)*(g - 2)
Let v(j) be the second derivative of -2*j**6/105 - 3*j**5/35 - 2*j**4/21 - 288*j. Factor v(x).
-4*x**2*(x + 1)*(x + 2)/7
Let p be (-3 + 0)/((-27)/72). Suppose 2*w - 8 = p. Factor 4*f + 25 - w*f**2 - 25.
-4*f*(2*f - 1)
Let t(a) be the first derivative of -a**6/12 + 3*a**5/10 + 31*a**4/8 - 7*a**3/6 - 45*a**2/2 - 28*a + 586. Find i, given that t(i) = 0.
-4, -1, 2, 7
Factor -24/7*x + 48/7 - 3*x**2 - 3/7*x**3.
-3*(x - 1)*(x + 4)**2/7
Determine c, given that 4
|
{
"pile_set_name": "DM Mathematics"
}
|
495*b
Expand (0 + 4 - 1)*(7 - 2 - 1)*(-3*f + 3*f - 4*f**3).
-48*f**3
Expand (t**3 + 4*t**2 - 6*t**2 + 1 + t**3)*(-5*t - 4*t - 3*t).
-24*t**4 + 24*t**3 - 12*t
Expand -7*l + l + 7 - 6 + (6 + 0 - 2)*(3*l - 3*l - l).
-10*l + 1
Expand (2*s**3 - 4*s**3 + 0*s**3)*(0 + 0 - 1) - 17*s**2 + 17*s**2 + 4*s**3 + 22*s**2 - 23*s**2 + 8*s - 2 + 2*s**3 - 3*s**3.
5*s**3 - s**2 + 8*s - 2
Expand (4*z - 5*z + 6*z)*(17 + 5 - 7)*(-1 + 3 - 1).
75*z
Expand 4*y**5 - y**5 - 2*y**5 + 2*y**5 - 4*y**5 + 0*y**5 + (-2*y**2 + 4*y**2 + 2*y**2)*(8*y**3 + y - y) - y**5 + 0*y**2 + 0*y**2 - 5*y**5 - y**5 + 3*y**5.
27*y**5
Expand (26*q + 75*q - 23*q)*(0 + 5 - 3)*(0 - 3 + 1)*(-2 + 2 - q).
312*q**2
Expand 3*q**5 + 2*q**5 - 7*q**5 + 3*q - 3*q + q**5 + (-3 + 3 - 2*q**2)*(5*q**3 - 3*q**3 + 0*q**3) - 5*q**5 + 0*q + q + 7*q**5 + (0 + 3*q**5 + 0)*(4 - 5 + 0).
-6*q**5 + q
Expand -q**5 + 2*q**5 - 3*q**5 + (-5*q + 5*q + q**2)*(4*q**3 - 5*q**3 + 0*q**3) + 4729*q**3 + 7*q + 2*q - 2*q**5 + 1 - 4726*q**3.
-5*q**5 + 3*q**3 + 9*q + 1
Expand (-111*h + 91*h - 171*h)*(0 + 2*h + 0*h + 2).
-382*h**2 - 382*h
Expand (-62 - 61 + 114)*(4 - 2*r - 2 + 3*r).
-9*r - 18
Expand -2*p**4 - 3*p + 3*p + 2*p**4 - 4*p**4 + p**4 + (-5 + 29 - 2)*(3 + 2*p**4 - 3) + (0 + 2*p + 0)*(-p**3 - 3 + 3).
39*p**4
Expand (-1 + n + 1)*(-7*n**2 - 188*n + 186*n - 26*n**2).
-33*n**3 - 2*n**2
Expand (-5 - 1 + 3)*(96 - 371*u + 191*u + 178*u).
6*u - 288
Expand (-2*i - i - i)*(39*i - 39*i + 7*i**3 + (-2*i**2 + 4*i**2 + 0*i**2)*(2*i + 3*i - 7*i)).
-12*i**4
Expand (5 - 149*f**2 + 115*f**2 - f**3 + 0*f**3)*(0*f**2 + 0*f**2 + f**2).
-f**5 - 34*f**4 + 5*f**2
Expand (8*l + l - 4*l)*(124 - 124 + 20*l).
100*l**2
Expand (7*o**2 - 4*o**2 + 2*o**2)*(-2*o**3 + o - o) + (-5*o**4 - o**2 + 4*o**2 - o**2)*(-45 + o + 45).
-15*o**5 + 2*o**3
Expand (2*h + 2*h + 2 - 2*h)*(-194*h + 112*h + 99*h).
34*h**2 + 34*h
Expand 0*d - 3*d**3 + 0*d + (-9*d**2 + 6*d**2 - 22*d**2)*(-3 + 3 + d).
-28*d**3
Expand 11*k + 6*k - 10*k + (3 + 3 - 5)*(7*k - 10*k + 10*k).
14*k
Expand (-2*c**3 + 5*c**2 - 5*c**2)*(-8*c**2 + 8*c**2 + 8*c**2) - 5*c**5 + 3*c**5 + 0*c**5.
-18*c**5
Expand (-5 - 3*l**4 + 5)*(-2*l - l + l) - 44*l**5 + 2059*l**2 - 2059*l**2 - l**5 + 5*l**5 - 2*l**5.
-36*l**5
Expand (-j - 2 + 2)*(4 - 1 - 1)*(2*j + 232*j - 46*j).
-376*j**2
Expand (4*q - 16 + 16)*(4*q**4 - q**4 - 2*q**4) + 69*q**3 + 0*q**5 - 2*q**5 - 59*q**3.
2*q**5 + 10*q**3
Expand 0*j**5 - j**5 + 3*j**5 + (-5 + 1 + 2 + (-4 - 1 + 4)*(-1 + 6 - 3) + 94 + 86 - 155)*(-3*j**5 + 3*j**5 - 2*j**5).
-40*j**5
Expand (3*o**4 + 3*o**4 - 2*o**4)*(-2*o + 1 - 1 + 3*o + 2*o - 6*o + (-4*o + 5 - 5)*(2 - 5 + 4)).
-28*o**5
Expand (-6*g**2 + 0*g**2 + 4*g**2)*(5*g**3 + 3*g**3 - 3*g**3) + g**5 + 2*g**5 - g**5.
-8*g**5
Expand (57 + 13*b - 57)*(18 + 9 - 39)*(2*b - 3*b + 3*b).
-312*b**2
Expand (2*w**2 - 3*w**2 - 3*w**2)*((-w + 5 - 5)*(3*w + 2 - 2) + (-2 + 2 + 1)*(-w**2 + 3*w**2 - 3*w**2))*(-2 + 3 - 4).
-48*w**4
Expand (9*j - 7*j + 6*j)*(-21*j**4 - 6*j**4 + 5*j**4).
-176*j**5
Expand (0*y + 3*y - 2*y)*(-2*y + 2*y + 2*y**3) + 4*y - 4*y + y**4 + 2*y**4 - 2*y**4 + y**4 - 15*y**4 + 7 + 9 - 14.
-11*y**4 + 2
Expand (-64*l**5 + 28*l**3 + 21*l**3 - 51*l**3)*(1 - 9 - 2).
640*l**5 + 20*l**3
Expand (z - z - 2*z - 1)*(95*z + 90*z + 61*z).
-492*z**2 - 246*z
Expand (0*u - u + 4*u)*(105*u + 2 + 0 - 181*u).
-228*u**2 + 6*u
Expand (7 - 7 + 20*v)*(-5 + 4 - 1)*(2 + 0 + 0).
-80*v
Expand (-2*v - 115 + 115)*(4*v**4 - 16*v**2 + 16*v**2 + (3*v - 2*v + 0*v)*(-3*v**3 - v**3 + 2*v**3)).
-4*v**5
Expand (-3 + 2 + 0)*(-4*h + 0*h + 2*h) + (-12 - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
i(w) = -5*w**2 - 2 + 7*w - t*w**3 + 2 + 4*w**3. Let p be i(4). Solve 3*m + 3*l = -0*m - p, 3*m - 2*l = -7 for m.
-3
Let v be 2/(-2 + -2)*-8. Let l(r) = r**2 + 5*r - 24. Let n be l(4). Solve -3*j + n = -5*j + v*h, 0 = h - 5 for j.
4
Let q = 18946 - 18944. Let h(n) = n**3 + 6*n**2 + n + 8. Let b be h(-6). Solve -5*g + 4*x = b, -2*x = 3*g - q*g + 6 for g.
-2
Let g be (-4)/(-22) - (72/(-88) - 3). Solve 1 = 5*s + l + 6, -4*s = -4*l + g for s.
-1
Let i = -579 + 580. Solve -v + i = 0, 6 = 5*s - v + 17 for s.
-2
Let j be 1/(-7) - (-3408)/336. Solve -j = -5*p - 5*r, -2*p + 7*p + 3*r - 8 = 0 for p.
1
Let l = -24 + 25. Let o = l + -1. Solve -2*g + 5*g + 6 = j, -2*j - 4*g - 8 = o for j.
0
Suppose 4*z - 2*r = 50, 0*z + 5*r - 19 = -2*z. Let x = 28 + -23. Solve 2*f = -5*v + z, v + x*f = 2*f - 8 for v.
4
Suppose -3*n - 55 = -14*n. Solve 3*w = -2*w - 3*m - 17, -2*w = n*m + 3 for w.
-4
Let l = -26 + 15. Let a = l - -14. Let r be (2/a)/(2/9). Solve 0 = -4*q, -q - r = -3*o - 18 for o.
-5
Let f(u) = 14*u + 113. Let t be f(-8). Solve 0 = 2*j - 11 + t, -2*b - 20 = -4*j for b.
0
Let t = -23 + 31. Let v = -8 + t. Solve -5*a - 4*o = -16, v*o = a - 5*o + 20 for a.
0
Suppose -2*b + 14 = -z - b, -2*b + 55 = -5*z. Let q be ((-4)/6)/(3/z). Solve 5*v = -4*o - 7, -q*o + 2*v - 4*v = 2 for o.
2
Suppose -3*y - 5*a = -3*a - 21, -y + 11 = 2*a. Solve -5*i - y = -3*f - 3*i, 0 = 3*f - 5*i - 8 for f.
1
Let s(w) = -2*w**2 + 78*w + 4. Let f be s(39). Solve f*a + 14 = 6*q - 3*q, 6 = -4*a - q for a.
-2
Let g = 1020 - 1016. Solve -a - 9 = -6*c + c, 16 = -5*a - g*c for a.
-4
Let x be 29/9 - (-24)/(-108). Let d(y) be the first derivative of 7*y**2/2 - 3*y - 1. Let s be d(x). Solve 5*w = z - s, -5*z + 12 = -z for w.
-3
Let y(b) = b + 1. Let j be y(4). Solve a = -j*u - 25 + 5, -3*u - 12 = a for u.
-4
Suppose 33 + 2 = 7*h. Solve -l = h*m - 20, 0 = 5*m - l - 1 - 9 for m.
3
Let n(p) = 6*p + 6. Suppose 0 = d + 6. Let w be n(d). Let h = -6 - w. Solve 5*q - h = -y, -5*y = 5*q + 1 - 41 for q.
4
Let w(y) = y**2 - 19*y + 48. Let m be w(16). Solve m = -4*d + 5*h - 7 - 0, 0 = -2*d - 3*h + 13 for d.
2
Let k(g) = 24*g + 21*g - 41*g - 9. Let n be k(5). Solve 0 = 2*s + s + 3*p - 6, 2*s + n = 3*p for s.
-1
Let n = -272 + 277. Solve 4*t + 17 = -5*j, 5*t + 10 = -n*j - 5 for j.
-5
Let l be -1 + -2 - 6/6 - -13. Let p be -3*(-21)/l + 0. Solve -h + 1 = -2*s + p, 0 = 3*h + 3*s for h.
-2
Let r be (-8)/28 - 4/(-14). Let x(t) = 15 + 12 + 5 - 20 + t. Let a be x(r). Solve 2*m = 7*l - 3*l - 12, -5*l + m = -a for l.
2
Suppose -4*a = d, -3*a = -2*d - 5 + 16. Solve -d = 3*f - 2*q, -2*f + 16 = f + 2*q for f.
2
Let x(w) = -2*w**3 - 4*w**2 - 2*w. Suppose 0*g - 14 = 7*g. Let d be x(g). Solve 4*f - 16 = -0, 2*v - d*f = -6 for v.
5
Suppose 0*o - 96 = -4*o. Suppose 0 = -3*r - 3*x + 93, 80 + 28 = 4*r - 4*x. Let b = r - o. Solve 0 = -2*z + 2, b*q - 8 = 2*q - 2*z for q.
2
Suppose -2*x = 5*y - 7*y + 2, 0 = -4*x + 4. Solve -3*w - s - y = 0, 2*s = -0*s - 10 for w.
1
Suppose 5*l = 2*w + 48, 4*l - 48 = 5*w + 72. Let i be (-84)/w - (-3)/(-2). Solve 0 = 4*d - 5*b + 12, b = 2 + i for d.
2
Suppose 0 = 49*v - 53 - 45. Solve -y - 17 = -4*w, y - v*w + 7 + 0 = 0 for y.
3
Let o(s) = -s - 2. Let t be o(-5). Let f(b) = -b**3 + 2*b**2 + b - 1. Let h be f(1). Suppose -k + 6 = h. Solve a - k*d = 5*a + 4, 3 = -t*a + 5*d for a.
-1
Let p(j) = -5*j - 95. Let q be p(-22). Solve 4*t + 1 = 13, -q = 3*x - 2*t for x.
-3
Let g(h) = 15*h - 9*h**2 + 31 + 11*h**2 - h**2. Let i be g(-13). Solve -2*x = -5*x + 3*v, 1 = i*x - 4*v for x.
1
Let f be ((-6)/(-4))/(87/232). Let w be 1*4 - (f - 4)/(-7). Solve j - 4 = -k + w, 5*k = 2*j + 5 for j.
5
Suppose -10*x = -15*x - 5, -2*x + 2 = s. Solve -2*a + b = -0*a + 9, a + s = b for a.
-5
Let v be -2*(-69)/(-6) + (-3)/3. Let k = -22 - v. Solve 3*x = 2*x - o + 2, k*x - 4 = -5*o for x.
2
Let m be 2/4*1*
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Is i(-3) a composite number?
True
Suppose -2*n + 113 = 3*k, 3*n = -3*k + 126 + 45. Is n a prime number?
False
Let n(c) = c**2 - 3*c + 5. Let r be n(5). Let w = 97 - r. Is w composite?
True
Let d(o) be the first derivative of o**2/2 - 337*o - 3. Let r be d(0). Let v = -204 - r. Is v a composite number?
True
Suppose -2*b = -4*k + 8, 0 = k - 1 - 4. Let w(z) = z**3 - 5*z**2 - 4*z - 8. Let v be w(b). Suppose 3*s - 4*t = 20, -4 - v = -4*s - 4*t. Is s a prime number?
False
Suppose 0 = -5*c - 4*q + 222, -4*c = c - 2*q - 234. Suppose -c = -2*h - 3*w + 28, 0 = -5*w + 20. Is h prime?
True
Suppose 2*f + 3*y = 191, -5*y + 2*y = -2*f + 197. Is f a prime number?
True
Let o(w) = -w**3 + 2*w**2 + w + 4. Let y be o(4). Is (-8)/y - 220/(-6) prime?
True
Let b = 3 + -11. Let r(m) = 3*m**2 + 12*m + 10. Is r(b) prime?
False
Let v be (552/(-15))/(-4)*5. Suppose 9 - v = -p - 3*y, -p - 2*y = -41. Is p a composite number?
True
Let c(l) = -3*l - 1. Suppose -3*r + 24 - 1 = 4*v, 0 = -v - 3*r + 17. Suppose 5 = -v*x + 2*h + 1, 18 = -4*x - h. Is c(x) composite?
False
Suppose 2*i - 6*i = -416. Let a = i + -35. Suppose x = -o + 166 - a, 2*x = o - 91. Is o composite?
True
Suppose 5*r = 0, 4*r - 2*r + 16 = 4*b. Is 10/b*10 - 2 a prime number?
True
Let x(k) = 14*k**2 + 3*k - 9. Is x(-8) a prime number?
True
Suppose -2*m = -1157 + 175. Is m prime?
True
Let o(q) = -q**2 + 14. Let v be ((-8)/6 + 1)*-3. Let x = -1 + v. Is o(x) composite?
True
Let j(g) = 20*g - 1. Let t be j(-6). Let f = -47 - t. Suppose -3*s + f = -s. Is s a composite number?
False
Suppose 5*p + 5*n - 3749 = -1159, -4*n - 2581 = -5*p. Is p a composite number?
True
Let h = 4 + -6. Let v(m) = m + 1. Let k(y) = -5*y**3 - y**2 - 5*y - 6. Let c(n) = k(n) + 3*v(n). Is c(h) a composite number?
False
Suppose 20 - 111 = -i + 3*h, 0 = -4*i - 4*h + 300. Is i a composite number?
False
Suppose 7*i - 1243 = 171. Is i prime?
False
Let x(b) = 328*b - 17. Is x(9) prime?
False
Let v = 82 - -45. Is v prime?
True
Suppose 405 = 3*m - 804. Is m a prime number?
False
Is 1816 + 3 + (1 - (-3)/1) prime?
True
Let j = 15 + -12. Suppose -4*b + j*n = 4*n - 131, -2*b - n + 65 = 0. Is b composite?
True
Suppose -1292 = 7*p - 3*p - 5*h, 0 = 5*p - 3*h + 1602. Let z be (-2)/((-8)/p)*-2. Suppose 0 = -3*t + z - 0. Is t a prime number?
True
Let u(a) = -4 - a + 1 + 0. Let g be u(0). Is 4/6 - 163/g a composite number?
True
Let b = 67 - 34. Is b a composite number?
True
Suppose -9705 = -5*g - 2*b, 2*b + 0*b + 1941 = g. Is g a composite number?
True
Let d = 182 + -29. Let j = -102 + d. Is j a composite number?
True
Let a = -1673 - -2854. Is a composite?
False
Let v = -96 - -51. Let y = 129 - 205. Let b = v - y. Is b composite?
False
Suppose -4*x + 90 = -98. Is x composite?
False
Let c(o) = 4*o**2 + 8*o + 10. Is c(-9) a composite number?
True
Is ((-6)/(-4))/(39/286) prime?
True
Let r(n) = -n**2 + 3*n + 2. Let j be r(3). Suppose 2*t - 3*c - 23 = 0, 0 = 5*c + 15 + 10. Is 123/6 + j/t a prime number?
False
Is (14 - 3)*(210 + 1) composite?
True
Suppose -9 = -4*o - 3*m, o + m - 6 = -3. Let l(g) = g**3 + g**2 + g + 34. Is l(o) composite?
True
Let j(m) = 349*m**2 + m + 1. Let x be j(-1). Suppose 5*n - 696 = x. Is n a composite number?
True
Suppose 4*q = 5*p - 325, -p - 3*q + 66 = -18. Is p prime?
False
Let s(j) = 4*j**3 + 2*j**2 + 8*j - 1. Is s(4) a composite number?
True
Let j = 13 - 2. Suppose -7 = -2*h + j. Is h composite?
True
Suppose 0 = 5*f - 19 - 6. Let z = 266 - 186. Suppose f*m - 35 = z. Is m a prime number?
True
Suppose -6*x = -2*x + 160. Let k(v) = -v**3 + 3*v**2 + 7*v + 7. Let m be k(6). Let o = x - m. Is o a prime number?
True
Let u(r) = 2*r - 14. Let t be u(7). Suppose 2*n + t*n = 332. Is n composite?
True
Let c = -60 + 84. Let i be (c/18)/((-1)/(-3)). Suppose 0 = 5*j - 3*z - 9 - 4, -i*j + 9 = -z. Is j composite?
False
Let c be (4 + -1)*830/15. Let s = c + -83. Is s composite?
False
Suppose -36*s = -33*s - 3129. Is s a prime number?
False
Let o(a) be the second derivative of 3*a**4 - a**3/6 + 3*a. Is o(1) a composite number?
True
Let k(w) = 7*w**2. Let h be k(-1). Let p(f) be the first derivative of 6*f**2 + f - 4. Is p(h) a prime number?
False
Let i(c) = -c - 2. Let u be i(-6). Suppose 0*m + u*m = 124. Is m prime?
True
Let o = 403 + -84. Is o prime?
False
Let z = 14 - 14. Suppose z = -4*x + 244 + 84. Is x a composite number?
True
Suppose -2*v = -3*r - 5*v + 1353, 4*r = 2*v + 1804. Is r prime?
False
Suppose 0 = 2*b + 6 - 10. Is b prime?
True
Let h(n) be the second derivative of n**4/3 - 7*n**3/6 - 9*n**2/2 + 6*n. Is h(8) a prime number?
|
{
"pile_set_name": "DM Mathematics"
}
|
e terms in -358 + 2*y**3 + 358.
2*y**3
Collect the terms in 23*i - 26*i - 4 + 4.
-3*i
Collect the terms in 8*j + 1 - j + 6*j.
13*j + 1
Collect the terms in -312*k**3 + 2*k**2 + 303*k**3 - 2*k**2.
-9*k**3
Collect the terms in 2*v**3 - 3 + 4 - 1 + 50*v.
2*v**3 + 50*v
Collect the terms in -9*g + 1 - 1 + 2309*g.
2300*g
Collect the terms in 18*t**2 + 18*t**2 - 5*t**2 - 5*t**2.
26*t**2
Collect the terms in w - 8 - 6 + 14.
w
Collect the terms in y - 3*y + 2*y - 7*y**3.
-7*y**3
Collect the terms in 4*y**2 - 5*y**2 + 8*y**2 + 0*y**2.
7*y**2
Collect the terms in j**3 + 13*j**3 + j**3.
15*j**3
Collect the terms in 25*l + 31*l - 68*l.
-12*l
Collect the terms in -13*g + 117*g**2 + 13*g.
117*g**2
Collect the terms in i**2 + 5690 - 5690.
i**2
Collect the terms in 102*k - 3 - 106*k + 3.
-4*k
Collect the terms in -17*b**2 + 12*b**2 + 12*b**2.
7*b**2
Collect the terms in 17*c**3 + 12*c**3 + 26*c**3.
55*c**3
Collect the terms in -2*k**2 - 5*k**3 - 4*k**2 + 6*k**2.
-5*k**3
Collect the terms in o + o - 78 + 94 + o.
3*o + 16
Collect the terms in 1 + 2*x**2 + 3 - 3 + 32*x**2.
34*x**2 + 1
Collect the terms in -6*h**2 + 12*h**2 + h**2 - 3*h**2 - 3*h**2.
h**2
Collect the terms in -m + 40 - 14 - 26.
-m
Collect the terms in 7*s**2 + 6*s**2 - 4*s**2 + 6*s**2.
15*s**2
Collect the terms in -4*l**3 + 11*l**3 - 3*l**3 - 8*l**3.
-4*l**3
Collect the terms in 49 + z + 11 - 60.
z
Collect the terms in -198*g - 200*g + 600*g - 205*g.
-3*g
Collect the terms in -102*r - 1038 + 1038.
-102*r
Collect the terms in -2 + 497*l - 497*l + 284*l**2.
284*l**2 - 2
Collect the terms in -3 - v**2 + 0 + 2 - v**2.
-2*v**2 - 1
Collect the terms in 43*d**2 - 3*d**2 + 3 - 2 - 3.
40*d**2 - 2
Collect the terms in -19*b**2 - 17*b**2 - 15*b**2 - 10*b**2 + 63*b**2.
2*b**2
Collect the terms in 5 + 31*n - 5 + 49*n - 81*n.
-n
Collect the terms in -6 + 2 - 30*q**2 + 3 + 0.
-30*q**2 - 1
Collect the terms in 24*z**3 - 47*z**3 + 4*z**3.
-19*z**3
Collect the terms in 4*v + 2*v**2 - 2*v - 6*v**2 - 7*v**2.
-11*v**2 + 2*v
Collect the terms in -8*v - 8*v - 14*v + 0*v.
-30*v
Collect the terms in 1062*m + 1053*m - 2117*m.
-2*m
Collect the terms in -18*a + 1 - 3 + 2.
-18*a
Collect the terms in 8*i + 2*i - 6*i - 2*i.
2*i
Collect the terms in -177 + 71*i + 12*i + 177.
83*i
Collect the terms in -5 + 7 + 2 - 5 - 13*i.
-13*i - 1
Collect the terms in -56*f + 31*f + 24*f.
-f
Collect the terms in -t - 18 + 6*t - 7*t - 2.
-2*t - 20
Collect the terms in 8*g + 0*g - 7*g.
g
Collect the terms in -8*k + 22*k - 2*k**2 - 16*k.
-2*k**2 - 2*k
Collect the terms in 23*u + 27*u - 12*u.
38*u
Collect the terms in -15*g + 8*g**2 - 4*g**2 - 131*g - 2*g**2.
2*g**2 - 146*g
Collect the terms in -14*y + 24*y + 12*y + 0*y.
22*y
Collect the terms in -14*x - 32*x - 4*x + 17*x.
-33*x
Collect the terms in -2*c**3 - 15*c + 3 - 5 + 2.
-2*c**3 - 15*c
Collect the terms in -75*w**2 - 1 + 1 + 77*w**2.
2*w**2
Collect the terms in 11*x**2 - 66*x**3 - 11*x**2 + 17*x**3.
-49*x**3
Collect the terms in -7 + 1 + 12*h**2 - 9*h**2.
3*h**2 - 6
Collect the terms in -j + 2 + 0*j - 6*j.
-7*j + 2
Collect the terms in -8*a + 3*a + a - 49 + a.
-3*a - 49
Collect the terms in -2 - 34*d**2 + 2.
-34*d**2
Collect the terms in -6*a - 11*a + 20*a.
3*a
Collect the terms in -726*o + 726*o + 2*o**2.
2*o**2
Collect the terms in -16*b - 64*b + 78*b.
-2*b
Collect the terms in -25*w**3 - 10*w**3 + 33*w**3.
-2*w**3
Collect the terms in 3 + 2*b + 2*b + 3*b - 5.
7*b - 2
Collect the terms in -5*f**3 + 0*f + 0*f + 15*f**3 - 12*f**3.
-2*f**3
Collect the terms in -v**2 - 10 + 4*v**2 + v**2 + 2*v**2.
6*v**2 - 10
Collect the terms in -4*a**2 - 55 + 32 + 23.
-4*a**2
Collect the terms in 1489*j - 1489*j + 7*j**2.
7*j**2
Collect the terms in 5*r + 6*r - 8*r.
3*r
Collect the terms in 310*v - 162*v - 174*v.
-26*v
Collect the terms in 2*o**3 + 185931*o + 0*o**2 - 185931*o + 0*o**2.
2*o**3
Collect the terms in -11 + 19 - 5*x - 2*x - 8.
-7*x
Collect the terms in -76*u - 7*u**2 + 76*u.
-7*u**2
Collect the terms in 240*q**2 - 4*q**3 - 240*q**2.
-4*q**3
Collect the terms in 17 - 17 - 51*z - 25*z.
-76*z
Collect the terms in -2*n**3 - 5*n**3 - 10 + 3*n**3.
-4*n**3 - 10
Collect the terms in -5790*w**2 + 8*w**3 + 5790*w**
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by -4460590
2
Calculate 25665210 divided by 12832605.
2
What is -199885699 divided by 15375823?
-13
Divide -159 by 76773.
-53/25591
1215751692 divided by 405250564
3
What is -24 divided by 13890335?
-24/13890335
What is 60708 divided by 15177?
4
Calculate 24 divided by 1764250.
12/882125
Divide -4294126 by 3.
-4294126/3
Divide 841 by 17375.
841/17375
-92728 divided by 1329
-92728/1329
-304110400 divided by -2200
138232
What is -2410750 divided by 1?
-2410750
271 divided by -35804
-271/35804
Calculate -19941600 divided by -949600.
21
What is -1 divided by 331479?
-1/331479
What is -121007668 divided by -121007668?
1
21813582 divided by 14
1558113
1384 divided by -77513
-1384/77513
Divide -2418570 by -378.
19195/3
Calculate -125754952 divided by 3802.
-33076
What is -24 divided by 475060?
-6/118765
Divide -1298254524 by 4.
-324563631
What is -166356060 divided by -813?
204620
Divide -774900 by -110700.
7
Calculate -82708533 divided by 1.
-82708533
Calculate -433718 divided by -90.
216859/45
Divide 10 by 1249042.
5/624521
Divide 125273 by 3873.
125273/3873
Calculate 47665015 divided by -95.
-501737
Divide 18980946 by 1123.
16902
What is 1294916 divided by -4?
-323729
-6 divided by -1045395
2/348465
What is 769494813 divided by 3?
256498271
Calculate -27242 divided by -63.
27242/63
Calculate 3327024 divided by -277252.
-12
What is -4061052 divided by -225614?
18
What is 212638 divided by 172?
106319/86
Divide -118677 by -124.
118677/124
-12504826 divided by 34
-367789
Divide -7753536102 by 3.
-2584512034
What is 61728491 divided by 9?
61728491/9
-725891 divided by -2
725891/2
What is -215109040 divided by -10?
21510904
Divide 7159 by 2435.
7159/2435
2805 divided by 18931
255/1721
Divide 17096540 by -4.
-4274135
4 divided by 13789773
4/13789773
-51178864 divided by 12794716
-4
Divide -4044708 by 19827.
-204
-595930560 divided by 8222
-72480
-3 divided by 148738
-3/148738
Calculate -15856477 divided by -13.
1219729
Divide 33298 by 2698.
16649/1349
-7060207 divided by -6
7060207/6
Divide -21296098 by 58829.
-362
-1445610 divided by -14
722805/7
What is -222334154 divided by 14?
-15881011
Divide 3018924 by -27953.
-108
Divide 2 by -9783280.
-1/4891640
Calculate -29848392 divided by -1197.
24936
144980283 divided by 3
48326761
What is 5726356 divided by 3?
5726356/3
-75337584 divided by 336
-224219
Calculate -730 divided by 16871.
-730/16871
Divide -928830 by -309610.
3
Calculate -5 divided by -2305989.
5/2305989
What is 31372670 divided by 370?
84791
What is 18 divided by -737532?
-1/40974
Divide 361438 by -219.
-361438/219
What is 35779184 divided by 319457?
112
What is -30430 divided by 1358?
-15215/679
Calculate 462048 divided by -38.
-231024/19
Calculate -222 divided by 99227.
-222/99227
Divide 8654768 by 4327384.
2
-9931479 divided by 6
-3310493/2
-13960269 divided by 172349
-81
What is 4 divided by 4838556?
1/1209639
Calculate 496357 divided by -108.
-496357/108
Calculate 2 divided by -2153127.
-2/2153127
27731488 divided by -50977
-544
3763394 divided by 2
1881697
Calculate 48360 divided by 71.
48360/71
Divide -3 by -493792.
3/493792
Divide 7783 by -524.
-7783/524
What is -35229491 divided by -2072323?
17
Calculate -3086537 divided by -799.
3863
What is -30862 divided by -11110?
15431/5555
23175335 divided by 1363255
17
Divide -44599920 by 4.
-11149980
Divide -456 by -102420.
38/8535
Calculate -3 divided by -215715.
1/71905
0 divided by -2034770
0
Divide -11297835 by -15.
753189
-38942253 divided by -2
38942253/2
What is -36567104 divided by -14?
2611936
What is 1 divided by -172987893?
-1/172987893
Calculate -9680330 divided by 4840165.
-2
Calculate -560124 divided by -140031.
4
What is 45824493 divided by -4165863?
-11
Calculate -1319626 divided by 1463.
-902
What is -1661352 divided by 59334?
-28
What is -29474092 divided by 622?
-47386
Calculate 2831234 divided by 202231.
14
-77 divided by -1027478
77/1027478
-12041750 divided by 70
-172025
Divide -372 by 1631778.
-2/8773
22238894 divided by 191
116434
What is -88701004 divided by -3101?
28604
Divide 202965340 by -3.
-202965340/3
48561244 divided by 2
24280622
144 divided by -875289
-48/291763
-462080 divided by -35
92416/7
4 divided by -83907802
-2/41953901
Calculate -5817 divided by 1917.
-1939/639
Divide -828064 by 14.
-414032/7
-4891392 divided by -25476
192
-1739452 divided by -133804
13
Calculate -1178150 divided by 5.
-235630
Calculate -5 divided by -474730.
1/94946
4 divided by 7149460
1/1787365
What is -39 divided by 44040?
-13/14680
What is 100 divided by 296064?
25/74016
Divide -221 by -113128.
221/113128
Divide 4860143 by 361.
13463
Divide 178700494 by 406.
440149
Calculate -2642786 divided by 38.
-69547
Calculate -7088772 divided by -6.
1181462
Divide -2994529 by 84.
-2994529/84
Calculate -626002 divided by 63.
-626002/63
-120670 divided by -10
12067
-65498196 divided by -16374549
4
Divide 3259495 by 2.
3259495/2
What is 19657797 divided by 2397?
8201
What is 12523520 divided by -1280?
-9784
Divide 2016804 by 336134.
6
What is -7604 divided by -2994?
3802/1497
-14766 divided by 57225
-4922/19075
215736844 divided by -2
-107868422
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 174.545509 - 796?
-621.454491
What is -1.333342544344 less than -0.4?
0.933342544344
What is 1321689871 take away -13?
1321689884
Calculate -5 - -28815877487.
28815877482
Total of 189.25 and -34178.2498.
-33988.9998
Add together -749105.42 and -3111.
-752216.42
What is 64086375282 less than -0.008?
-64086375282.008
-0.077+42.5570500605
42.4800500605
Subtract -1.87 from 649457276.9.
649457278.77
Add together -24898238 and 91998.
-24806240
Subtract 188174 from 459.976.
-187714.024
-0.47 - 3645.11969
-3645.58969
Add -0.022969 and 0.111977.
0.089008
Work out 0.04 + -16661.29979747.
-16661.25979747
Subtract 102551192166.2 from 0.05.
-102551192166.15
Work out -0.1 + -11745498.3422817.
-11745498.4422817
0.436638868327+-0.9
-0.463361131673
Calculate -89.2 - -16350246250.
16350246160.8
Add -11476 and 578786417.
578774941
0.1698+0.02703961417
0.19683961417
What is 4.44744 - -0.1207696?
4.5682096
2446300881 - -0.126
2446300881.126
What is 245 - 75208.48?
-74963.48
What is 94727860 less than 12.5?
-94727847.5
What is 25.23 less than 1369087?
1369061.77
-16+2371174165783
2371174165767
What is the difference between 0.4 and 2094432800095?
2094432800094.6
-2715089138 - -0.18
-2715089137.82
Calculate 39140.0149 + 0.44507.
39140.45997
What is the distance between 0.03647 and 106203384?
106203383.96353
Calculate -0.05292814 + 366910.
366909.94707186
Calculate -13.0790753913 + -66.1.
-79.1790753913
Calculate -656510237 + -9.3.
-656510246.3
Work out -69.3305405 - 0.1.
-69.4305405
Sum 21695 and -7796795.
-7775100
What is -1 minus 28.7292459028?
-29.7292459028
Work out -97317245171 - -1.
-97317245170
What is 612095 minus -2.04246448?
612097.04246448
Total of 2909 and -6889515781.
-6889512872
Work out -5.30410741 + 5.7073.
0.40319259
Calculate -5082884940138 - -4.
-5082884940134
What is 121 - 377565938?
-377565817
Calculate 1750299341 + 4.
1750299345
What is 0.12 - 181771186.46?
-181771186.34
What is 0.027467 minus 18914.2544?
-18914.226933
What is 506294181.9 plus -0.2?
506294181.7
What is 0.045 + -2982913794?
-2982913793.955
Subtract 974.7172403 from -0.99.
-975.7072403
Sum -0.2018 and -0.58164215.
-0.78344215
What is 4.7703 + 35427023?
35427027.7703
What is 61585418 minus -541.6?
61585959.6
-0.0695+-181664418
-181664418.0695
Work out 136538772436 + 0.
136538772436
Subtract 21899563208 from -0.53.
-21899563208.53
What is -555625592 take away 10076?
-555635668
0.01 - 10349.71315576
-10349.70315576
2 - -697261753794
697261753796
44416 - 183011
-138595
7309002 + 119
7309121
Calculate -139210.6409776 + 0.061.
-139210.5799776
What is 64917.80889373 minus -0.3?
64918.10889373
Subtract 0.142 from -114778962840.1.
-114778962840.242
What is 31507649 plus -11968?
31495681
Add 2986019011 and 0.2851.
2986019011.2851
Sum -463822904 and 678.
-463822226
-26251631902234 - -4
-26251631902230
Put together -622 and -80495886678.
-80495887300
Work out -0.1571272634 - -221.6.
221.4428727366
Work out -0.34981156842 + -4.38.
-4.72981156842
Work out -13360233179198 + -0.5.
-13360233179198.5
What is 82 take away 2077253983388?
-2077253983306
Calculate -121610316128558 - 0.06.
-121610316128558.06
Total of -142 and -122139965.21.
-122140107.21
Sum 70 and 1697313932.
1697314002
What is the distance between -6293192 and 1790781?
8083973
What is -14 plus 206955.17001?
206941.17001
What is the difference between 1228 and 18925381369?
18925380141
4.9276528755 - -1683
1687.9276528755
Work out 0.1 + 321864234806.
321864234806.1
What is 4 + 15279673594?
15279673598
Add together 23.38098 and 45344013.
45344036.38098
What is -117 less than 171111933?
171112050
What is 1 + -564269.0967716?
-564268.0967716
What is -0.5 + 7880449645906?
7880449645905.5
Work out -3317427344 - -0.128.
-3317427343.872
What is -0.404 - -10359493324?
10359493323.596
What is the difference between 2156891 and 8048?
2148843
Put together -175.92736 and -0.1036804.
-176.0310404
Sum 25 and 13629758947.
13629758972
Add together 12860912868 and 10077.
12860922945
What is the difference between -2.6 and -3059765.8?
3059763.2
-3 - 63579575037240
-63579575037243
4324794177298+-0.1
4324794177297.9
What is the distance between 491.2127 and 2598?
2106.7873
What is 0.1 + -0.013474784376?
0.086525215624
-0.85274+2331216
2331215.14726
What is -14 plus 20542317974?
20542317960
Work out 0.08 - -1.051650153645.
1.131650153645
Add together 4 and -120342273.8562.
-120342269.8562
Add -2.191 and 215.712583781.
213.521583781
Sum 1100382333757 and 0.
1100382333757
What is the difference between 128584660 and -7778?
128592438
What is 3 plus -6475.752768?
-64
|
{
"pile_set_name": "DM Mathematics"
}
|
ligram in micrograms?
1250
What is one quarter of a micrometer in nanometers?
250
How many years are there in 7/8 of a millennium?
875
What is 871799.1 millilitres in litres?
871.7991
What is sixty-seven quarters of a meter in centimeters?
1675
How many kilograms are there in 8.641527 micrograms?
0.000000008641527
How many nanograms are there in 27/2 of a microgram?
13500
What is 625836.4l in millilitres?
625836400
How many grams are there in 3/5 of a kilogram?
600
How many hours are there in 317.6063 days?
7622.5512
What is 98900.7 decades in millennia?
989.007
What is 0.1301929um in kilometers?
0.0000000001301929
How many millilitres are there in one quarter of a litre?
250
How many milligrams are there in 1/20 of a gram?
50
What is 1.192902 millennia in decades?
119.2902
How many years are there in thirty-one halves of a millennium?
15500
What is 1.528312 litres in millilitres?
1528.312
How many minutes are there in 4/3 of a hour?
80
What is 19.8441 grams in micrograms?
19844100
Convert 833151.8 centimeters to nanometers.
8331518000000
What is 13/4 of a litre in millilitres?
3250
How many millilitres are there in 31/5 of a litre?
6200
What is five sixths of a year in months?
10
What is 0.0119124ug in grams?
0.0000000119124
How many micrograms are there in 403.5111 kilograms?
403511100000
How many milligrams are there in 3/25 of a gram?
120
Convert 67.77961cm to nanometers.
677796100
Convert 4353.43mg to kilograms.
0.00435343
How many kilograms are there in seventeen halves of a tonne?
8500
How many micrograms are there in 44567.96 milligrams?
44567960
How many millimeters are there in seven halves of a meter?
3500
How many millilitres are there in 7/2 of a litre?
3500
How many meters are there in 1.758112km?
1758.112
Convert 58142.43 millennia to months.
697709160
How many kilograms are there in 59.48324 nanograms?
0.00000000005948324
What is 43.9221g in micrograms?
43922100
What is 6728.94 decades in centuries?
672.894
What is fourty-five quarters of a millennium in decades?
1125
How many nanograms are there in 1.927987 tonnes?
1927987000000000
How many millilitres are there in 6401.24 litres?
6401240
How many microseconds are there in 0.0358212 hours?
128956320
Convert 193.0029 microseconds to nanoseconds.
193002.9
What is 3/25 of a millennium in months?
1440
How many months are there in 10/3 of a decade?
400
How many seconds are there in 9/10 of a minute?
54
How many nanoseconds are there in 143244.2 milliseconds?
143244200000
What is seven eighths of a meter in millimeters?
875
How many micrometers are there in 0.6375211cm?
6375.211
What is five quarters of a millennium in years?
1250
Convert 6377422.8 days to weeks.
911060.4
How many years are there in 30.2147 decades?
302.147
What is 460.81 tonnes in nanograms?
460810000000000000
What is 97/2 of a decade in months?
5820
How many millilitres are there in 750.2128 litres?
750212.8
How many years are there in one fifth of a century?
20
What is 7/2 of a litre in millilitres?
3500
Convert 35.30463ml to litres.
0.03530463
How many decades are there in 1498169.7 months?
12484.7475
What is 35058.97 litres in millilitres?
35058970
What is one fifth of a litre in millilitres?
200
Convert 9.605464 seconds to microseconds.
9605464
What is 63360.69m in nanometers?
63360690000000
How many grams are there in 5/8 of a kilogram?
625
What is 405.0819 millilitres in litres?
0.4050819
What is five eighths of a litre in millilitres?
625
How many litres are there in 4.752004ml?
0.004752004
How many grams are there in fourty-six fifths of a kilogram?
9200
What is five eighths of a litre in millilitres?
625
Convert 6139.994 grams to kilograms.
6.139994
How many years are there in 3/25 of a millennium?
120
Convert 64.789872 hours to weeks.
0.385654
How many millilitres are there in 18/5 of a litre?
3600
How many centimeters are there in nine tenths of a kilometer?
90000
What is four fifteenths of a day in seconds?
23040
What is 0.4546476 meters in kilometers?
0.0004546476
What is 75.97986 weeks in hours?
12764.61648
What is 62378.26ml in litres?
62.37826
Convert 0.8102653kg to tonnes.
0.0008102653
What is 1/6 of a minute in seconds?
10
Convert 39.56975ml to litres.
0.03956975
What is eighteen fifths of a meter in centimeters?
360
How many centimeters are there in 630944.5 nanometers?
0.06309445
Convert 83985.309 seconds to hours.
23.3292525
What is 0.7197193 minutes in seconds?
43.183158
Convert 84.4795 minutes to microseconds.
5068770000
How many kilograms are there in 264788.5 micrograms?
0.0002647885
How many minutes are there in 10/7 of a week?
14400
What is 6.37689 millennia in months?
76522.68
How many months are there in 1/6 of a century?
200
How many milliseconds are there in 1/16 of a minute?
3750
What is 0.356617 litres in millilitres?
356.617
How many nanometers are there in 48.16204 micrometers?
48162.04
How many hours are there in 19/4 of a week?
798
How many millimeters are there in 583316.2um?
583.3162
How many days are there in 1625289.84 nanoseconds?
0.000000018811225
What is seven halves of a micrometer in nanometers?
3500
What is 7.984818 millennia in centuries?
79.84818
What is 0.3765463ns in milliseconds?
0.0000003765463
What is 0.2434035 tonnes in micrograms?
243403500000
How many millilitres are there in 7/4 of a litre?
1750
How many months are there in 762.7356 millennia?
9152827.2
How many seconds are there in nine tenths of a day?
77760
What is 11/4 of a second in milliseconds?
2750
How many millilitres are there in 368971.8l?
368971800
How many millilitres are there in thirty-seven fifths of a litre?
7400
How many centuries are there in 0.5623719 decades?
0.05623719
What is 0.3199611 kilometers in micrometers?
319961100
What is 43/2 of a litre in millilitres?
21500
How many months are there in eight thirds of a millennium?
32000
How many kilograms are there in 39288.06 nanograms?
0.00000003928806
Convert 681132.6 weeks to microseconds.
411948996480000000
How many millilitres are there in six fifths of a litre?
1200
How many milliseconds are there in 9012.151 days?
778649846400
What is 5/4 of a meter in millimeters?
1250
Convert 803.9425 hours to minutes.
48236.55
How many kilograms are there in 56.34633mg?
0.00005634633
What is 37/2 of a meter in centimeters?
1850
What is 6.70795 days in seconds?
579566.88
What is 49/5 of a centimeter in millimeters?
98
How many millilitres are there in 27/2 of a litre?
|
{
"pile_set_name": "DM Mathematics"
}
|
2*x**3 - 6*x**4 to the form i + k*x**2 + w*x**3 + p*x + z*x**4 and give p.
-1
Express -22*h**2 + 20*h**2 + 0 - 12 as z + s*h + y*h**2 and give y.
-2
Rearrange -7*p**3 + 14*p**3 + 10*p**3 + 2 to the form d + g*p**3 + w*p**2 + h*p and give g.
17
Rearrange (-2 - 3 + 6)*(k - 4*k + k) - 100 + 201 - 96 - 8*k to the form q + f*k and give q.
5
Rearrange (1 + 4 - 3)*(0*k - k**2 + 0*k) - 5*k**2 + 4*k**2 - 2*k**2 + (-k**2 + 4 - 4)*(-5 + 0 + 4) + 2*k**2 - 1 + 1 to m*k + o + q*k**2 and give q.
-2
Express 2*r - 2*r**4 + 2*r**2 + 3*r**2 - 3*r**2 + 9 + 2*r**3 + 2 in the form v*r**3 + l*r + w*r**4 + m + k*r**2 and give l.
2
Express (-7 + 12*x + 2 + 4)*(6 - 6 - 3*x) in the form p*x**2 + y*x + g and give p.
-36
Express (3 - 3 - o)*((6 - 3 - 1)*(0 + 1 + 5) + 1 - 2 - 2) in the form a + t*o and give t.
-9
Express (-3*c + 3*c - 2*c)*(-84*c**2 - 58*c**2 + 252*c**2) as l*c**2 + h*c**3 + g + x*c and give h.
-220
Express (12*u**3 + 93 - 93)*(4 - 2 - 1) + (3*u + 3*u - 7*u)*(0*u**2 - 3*u**2 + 2*u**2) in the form j*u**2 + a*u + p + d*u**3 and give d.
13
Express -3 + 3 + 10*w + 10*w in the form z*w + x and give z.
20
Rearrange -r**3 - 12*r**2 + r + 13*r**2 + r to the form d*r + s*r**2 + h + v*r**3 and give v.
-1
Express -30*t + 62*t - 34*t - 16 + 2*t**2 as f*t + s*t**2 + c and give f.
-2
Express 2*l**2 - 3*l**4 + 5*l**4 + 11*l**3 + 16*l - 18*l in the form g*l + b + s*l**4 + c*l**3 + m*l**2 and give s.
2
Express 2*t**3 + t**3 + 3*t**2 - 2 + 0 + 0*t**3 - 2*t**4 + t as z*t**2 + q*t**4 + o*t + v + r*t**3 and give r.
3
Express 2*v**3 + 14*v**2 - 29*v**2 - v**4 + 15*v**2 + 5*v - 1 as n*v + k + z*v**3 + s*v**4 + h*v**2 and give z.
2
Express -6*x**2 - 15*x - x**3 + 15*x as q*x**2 + y + v*x + w*x**3 and give w.
-1
Rearrange -1 - 8*f**2 + f - 2*f**2 + 8*f**2 to the form b*f + m*f**2 + a and give a.
-1
Rearrange -42*a - 20*a + 7*a to o*a + d and give o.
-55
Rearrange (-6 + 3 + 2)*(25 + 44 - 10)*(j + 2*j - j) to the form h*j + f and give h.
-118
Express (-2 + 12 + 1)*((2*m - m + m)*(2 - 5 + 2) + (4*m - 2*m + m)*(2 - 1 - 3)*(-2 + 2 + 2)) in the form c + y*m and give y.
-154
Rearrange (6*l + 9*l - 5*l)*(-l + 1 - 1) + (l + 2*l - l)*(3*l - 3*l + 2*l) to m + d*l**2 + b*l and give m.
0
Rearrange 0*g**2 + 3 - 5*g**2 - 3 to the form b*g**2 + d*g + p and give b.
-5
Rearrange (4 + 1 - 6)*((d**3 - 3*d**3 + d**3)*(1 - 1 - d) + 0*d**4 - 3*d**4 - d**4) to the form p*d**2 + b + a*d**4 + m*d + o*d**3 and give a.
3
Express 11*q**2 + 2*q**2 - 81*q + 84*q as i*q + g*q**2 + l and give i.
3
Express -2*i + 20 - 12 + 16 in the form z*i + j and give z.
-2
Express -5*g**4 - 12*g**2 + 12*g**2 + (-5 + 5 + 1)*(-g**3 + g**3 + 6*g**4) as p*g + j + h*g**3 + l*g**4 + b*g**2 and give l.
1
Express 31*u + 6*u + 22*u in the form i*u + k and give i.
59
Express -1001 - 3*p + 1000 + 3*p - 24*p**2 as a*p + l + u*p**2 and give u.
-24
Express 2*o + 2 + 19*o**4 + 20*o**4 + o**2 - o - 42*o**4 as a*o**3 + f*o**2 + x*o**4 + s*o + t and give t.
2
Rearrange 5*c - c - c + (1 + 0 + 1)*(-3*c - c + 3*c) - 4 + 0 + 0 - 2*c to m*c + t and give m.
-1
Express (1 - 1 - 1)*(2*f - 5*f + 4*f)*(10*f**2 + 13*f**2 - 2*f**2) + f**3 + f**3 + 0*f**3 as s*f**3 + k*f**2 + w*f + l and give s.
-19
Express -7*r + 12*r + 0*r - 4*r in the form x + s*r and give s.
1
Express -4*l**3 + 61*l**3 + 8*l**3 + (l - l + l)*(0*l**2 - l**2 + 0*l**2) as c*l + t*l**2 + k*l**3 + q and give k.
64
Rearrange 24*n + 0*n - 13*n to the form z + h*n and give h.
11
Express 5 - 14*j**2 - 5 as o*j + m + h*j**2 and give h.
-14
Express -97*c - 10*c + 9*c - 4*c - c + 4*c + (3*c - 2*c - 2*c)*(0 - 2 + 3) + 2 - 2 + 2*c + 0 + 0 - 2*c as n*c + g and give n.
-100
Rearrange q**4 + 0*q**4 - 2 - 2 + 2 + 5*q + 2*q**2 to the form l + h*q + n*q**3 + w*q**2 + c*q**4 and give w.
2
Rearrange (4*o + o - 2*o + 0*o - 2*o - o + (-5*o - o + 4*o)*(2 + 0 + 2))*(1 + 0 - 3) - 5*o + 4*o + 2*o to the form t*o + p and give t.
17
Rearrange -11 + 15*j - 4*j - 2*j - 6*j to r*j + k and give k.
-11
Rearrange (-1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
0.3.
2598.6
Calculate 0.4*26.3.
10.52
Multiply 0.4 and -13.
-5.2
Multiply -175 and -1.1.
192.5
0.71 times 0.7
0.497
Multiply -77 and 5.
-385
6.865 * -0.1
-0.6865
Calculate -3*-28.
84
-0.02 times 0.2703
-0.005406
Work out 0.3 * 0.114.
0.0342
Work out 24.6 * -0.1.
-2.46
34*-1.2
-40.8
Product of -1 and -25.
25
46 times -13
-598
What is -0.032 times 5?
-0.16
What is -80 times -2?
160
What is the product of -54 and 9.3?
-502.2
5873 * 0
0
Calculate 3*22.6.
67.8
Multiply -4 and 0.06275.
-0.251
What is the product of -0.123 and 51?
-6.273
What is -51575 times -0.2?
10315
-0.4*-2.6
1.04
Calculate -5*-53.
265
Calculate -0.789*-0.5.
0.3945
Calculate -0.287*8.
-2.296
Multiply -0.37 and -0.2.
0.074
89*-1
-89
1.64 * -2
-3.28
What is 23 times 37?
851
What is the product of 1122 and -0.4?
-448.8
-30*0
0
-0.055 * 0.5
-0.0275
-4.177 * 2
-8.354
-169 * 64
-10816
What is -0.1 times 0.006?
-0.0006
-0.3 times -4.5
1.35
What is 63 times 0.02?
1.26
Work out -2944 * 2.
-5888
0.3 times 151
45.3
Multiply 111 and 0.48.
53.28
Product of -0.4 and 0.0668.
-0.02672
Product of 4 and 0.0896.
0.3584
0.34*-43
-14.62
425 * 0.08
34
Calculate -1.43*0.2.
-0.286
Product of 13 and -5.8.
-75.4
What is the product of -4 and -1?
4
Calculate 5*-0.54.
-2.7
-2*-2.8
5.6
Product of -171 and -125.
21375
Multiply 4 and 122.
488
-0.882*2
-1.764
Product of -0.1 and 12.12.
-1.212
Product of -4 and -43.5.
174
What is -0.3 times -148?
44.4
2035*-4
-8140
Work out 766 * -0.4.
-306.4
Calculate 0.167*2.
0.334
-11.88 * -5
59.4
What is the product of -0.0291 and -17?
0.4947
What is the product of 18.4 and -0.3?
-5.52
-159.22 times 0
0
352 * -1.5
-528
What is the product of 0.124 and -7?
-0.868
Product of 28.7 and -0.06.
-1.722
Multiply -0.2051 and 0.5.
-0.10255
0.3*-55.3
-16.59
4 times 29
116
What is the product of 4 and 0.0564?
0.2256
What is the product of -0.3 and -1.4?
0.42
4 times -634
-2536
-29 * -257
7453
-20 times 0.33
-6.6
297 * -5
-1485
Multiply 0.4 and -25.1.
-10.04
Product of 0.043 and 0.22.
0.00946
3.2 times 23
73.6
Calculate -0.2*-293.
58.6
Product of 8.898 and 0.3.
2.6694
-19*-0.0316
0.6004
Calculate -3.6*-2.
7.2
1.4*-122
-170.8
What is the product of -2 and -140?
280
Work out 6 * 0.56.
3.36
1.8*4
7.2
-0.1*-282.4
28.24
Product of 0.4 and 0.109.
0.0436
Work out 0.4 * 76.
30.4
-157*-215
33755
Calculate -0.2*-28.
5.6
0 * 67
0
-39 times -0.1
3.9
What is -29 times 0.7?
-20.3
-4.064 times -5
20.32
0.1 * 6.2
0.62
Calculate 0.246*0.
0
What is 103 times -1?
-103
-0.06409*-0.2
0.012818
-1.29 times -0.49
0.6321
What is the product of 5 and -52?
-260
What is the product of 8 and 0.2?
1.6
Work out 34.3 * 3.
102.9
-13*-0.33
4.29
Work out -24 * 40.
-960
Work out 0.0801 * 6.
0.4806
Calculate -170.1*-0.5.
85.05
What is 0.25985 times -3?
-0.77955
Multiply 0.5 and -0.25.
-0.125
0 * 192.5
0
Product of -191 and 1.
-191
-15 * 0.024
-0.36
4 * -1.51
-6.04
What is 1021.6 times 0.3?
306.48
Multiply -0.0787 and -0.2.
0.01574
-22 * 0
0
3292 * -2
-6584
What is 0.5 times 67.6?
33.8
Work out 0.038 * -0.15.
-0.0057
5*-199
-995
Work out 3 * -24.16.
-72.48
Multiply 0.3 and -108.
-32.4
What is the product of 155 and 0.3?
46.5
115*0.7
80.5
Work out 0.1413 * -4.
-0.5652
Calculate 99*-3.2.
-316.8
Calculate -1166*3.
-3498
What is -19 times 6?
-114
Product of 0.1 and -1473.
-147.3
0.028 times -4
-0.112
Multiply -0.2 and 132.
-26.4
Work out -0.026 * 1.
-0.026
Work out -0.5 * 446.
-223
Multiply 0 and 10.7.
0
Calculate 4*-0.22.
-0.88
0.12 * -526
-63.12
0.1227 times 1.3
0.15951
Calculate 0.3*0.3.
0.09
-0.2429 * -0.4
0.09716
6083*0.3
1824.9
Product of -761.1 and 4.
-3044.4
-0.2 * 0.08
-0.016
What is -0.1 times 0.745?
-0.0745
Calculate 0.4*8.2.
3.28
Product of 0.1 and -551.
-55.1
What is 63 times -0.8?
-50.4
Calculate 29*-17.
-493
-2 * -2320
4640
-12 times -0.09
1.08
Calculate 0.3*-0.4346.
-0.13038
Work out 13 * 199.
2587
Calculate 692*0.1.
69.2
-2*390
-780
What is the product of -52 and -0.042?
2.184
-0.5 * -10.3
5.15
What is 3.97 times 0.3?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
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