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283645
In base 16, what is 135171 - -5?
135176
In base 16, what is -19638 + -34?
-1966c
In base 13, what is -31c4 - -21c?
-2ca5
In base 12, what is -152b + 196b?
440
In base 4, what is 122033203121 + -120?
122033203001
In base 11, what is 3542 - 55380?
-51939
In base 11, what is -2a - -331aa59?
331aa2a
In base 10, what is -10 + -1068034?
-1068044
In base 8, what is -1001113 - 23?
-1001136
In base 10, what is 106 + 4785398?
4785504
In base 9, what is -22544715 + -3?
-22544718
In base 7, what is -2122366 + -254?
-2122653
In base 14, what is 21 - -980a?
982b
In base 6, what is 0 - 435214413?
-435214413
In base 11, what is 2a8a1 - -96?
2a987
In base 6, what is 130 + -21302224?
-21302054
In base 5, what is -104222 + 1213?
-103004
In base 14, what is -9d247 + 5?
-9d242
In base 2, what is 1100 - -1000100110111110010?
1000100110111111110
In base 10, what is -379 - -33343?
32964
In base 7, what is -1354 - 200152?
-201536
In base 2, what is -101 - -1110001010111110100001111?
1110001010111110100001010
In base 16, what is -74f0 + 13?
-74dd
In base 16, what is -81c - -5c9a9?
5c18d
In base 16, what is -40 + 1c4db3?
1c4d73
In base 10, what is 142 - -63?
205
In base 12, what is 50 + 1b596?
1b626
In base 8, what is 1443533 - 164?
1443347
In base 7, what is -5 + -26004010?
-26004015
In base 11, what is -5 + 47618678?
47618673
In base 3, what is -10 - -12120222222112?
12120222222102
In base 12, what is 1 - -2044b2?
2044b3
In base 2, what is -100 - -101000001001110011011000001?
101000001001110011010111101
In base 16, what is 2d - 22a23b?
-22a20e
In base 6, what is 152 - -34015512?
34020104
In base 6, what is 30414 + 140350?
211204
In base 2, what is 10111111010101111 - 10011111001?
10111100110110110
In base 11, what is 55250 + -271?
54a8a
In base 2, what is 100101000111 - 1110011001100000?
-1101110100011001
In base 4, what is 11 + -10221023330?
-10221023313
In base 12, what is -571950 + -41?
-571991
In base 14, what is -9236 + -5078?
-102b0
In base 16, what is 57214a + -3?
572147
In base 5, what is 24244 - 10141?
14103
In base 15, what is 518729 + -3?
518726
In base 4, what is 1323130 + -1033201?
223323
In base 3, what is -11 - -21202021112220?
21202021112202
In base 16, what is -5 - 462f28?
-462f2d
In base 2, what is 10101 - 111100111010100101110?
-111100111010100011001
In base 16, what is -80 - 1185ba?
-11863a
In base 4, what is -230 - 3032021?
-3032311
In base 10, what is -2127 - -24729?
22602
In base 10, what is 477 + -118690?
-118213
In base 5, what is 2 + -242303411421?
-242303411414
In base 14, what is 327 - 737?
-410
In base 16, what is 1 - -40ab798?
40ab799
In base 11, what is 596 + -6587?
-5aa1
In base 16, what is 1ba + 3d3473?
3d362d
In base 14, what is 1 + -14849b7b?
-14849b7a
In base 6, what is 1 + -100131320?
-100131315
In base 6, what is -12144 - 23415?
-40003
In base 12, what is -b8045 + -47?
-b8090
In base 5, what is 10 + 23240130324?
23240130334
In base 12, what is 62610 - -386?
62996
In base 3, what is -222000102021212222 - -12?
-222000102021212210
In base 13, what is 10a39a + -15?
10a385
In base 11, what is -8839781 - -5?
-8839777
In base 7, what is 10446001 + 331?
10446332
In base 13, what is -c08b5 - -a?
-c08a8
In base 4, what is 21322 + 331313110?
332001032
In base 10, what is -60043 - 467?
-60510
In base 5, what is -1011224340120 + 2?
-1011224340113
In base 6, what is 4 - -2051254150?
2051254154
In base 2, what is 100 - 1001100001111110101100101?
-1001100001111110101100001
In base 7, what is -13553440 - -242?
-13553165
In base 2, what is -11 - -100010110111101101000011?
100010110111101101000000
In base 10, what is -248388310 - -3?
-248388307
In base 11, what is -40 + 235428?
235398
In base 4, what is 30311001222323 - -1?
30311001222330
In base 10, what is 0 - -2662831?
2662831
In base 7, what is 1030306112 + -6?
1030306103
In base 3, what is -2020222011021121 - 221?
-2020222011022112
In base 8, what is 276 - -244146?
244444
In base 10, what is 56978 + 838?
57816
In base 9, what is 16 - -1301235?
1301252
In base 12, what is 142 - -808711?
808853
In base 6, what is 1322 + 322542?
324304
In base 3, what is -110 + -1012021101211?
-1012021102021
In base 13, what is -5 + 18968501?
189684c9
In base 11, what is 164930 + a2?
164a22
In base 8, what is 6516252 + 11?
6516263
In base 13, what is 597 + 7b2?
1079
In base 11, what is -256 + 777740?
777495
In base 7, what is -300254303 - 5?
-300254311
In base 5, what is -3011304 + 120342?
-2340412
In base 8, what is -4 + -103575063?
-103575067
In base 5, what is 4422 + 220332321?
220342243
In base 14, what is -1c54 + 120b?
-a47
In base 9, what is 320780 - 2?
320777
In base 2, what is -10011101100000 - -1011010001001?
-1000011010111
In base 3, what is -122111211222011 + 12?
-122111211221222
In base 8, what is 2 - 2262710337?
-2262710335
In base 14, what is -235c3c5 - 0?
-235c3c5
In base 9, what is -2 + 140220567?
140220565
In base 7, what is -5165 + 4312223?
4304025
In base 14, what is -25 - -16a026?
16a001
In base 12, what is 11979 - 19?
11960
In base 6, what is 30 + -100454?
-100424
In base 8, what is 767 - 154615?
-153626
In base 10, what is -1 + 3665690?
3665689
In base 2, what is 1000001111001110001 - 100000?
1000001111001010001
In base 11, what is -371037 - -26?
-371011
In base 7, what is -156 + -1110512?
-1111001
In base 15, what is 30a278 + 8?
30a281
In base 9, what is 275 + 547123?
547408
In base 16, what is 885 - -1c9?
a4e
In base 5, what is 2341434041424 - 0?
2341434041424
In base 16, what is 3e3 + 2cb5?
3098
In base 13, what is 3355b3ccb + -2?
3355b3cc9
In base 7, what is 1 + -5310320?
-5310316
In base 6, what is 5 - 5444215111?
-5444215102
In base 7, what is -450530 - 6?
-450536
In base 5, what is 13102401230 - -1?
13102401231
In base 9, what is -2 + -2574147?
-2574150
In base 10, what is -179639973 - -1?
-179639972
In base 10, what is -7 + 252275?
252268
In base 13, what is 29bb74 - -6?
29bb7a
In base 7, what is -63153 + 6052?
-54101
In base 13, what is -4b61 + 53?
-4b0b
In base 11, what is -259 - -556644?
556396
In base 10, what is 1047 + 879738?
880785
In base 6, what is 4031010451 - 4?
4031010443
In base 7, what is -3241022 + 44?
-3240645
In base 13, what is 2712a + -87?
27073
In base 7, what is 46 - 12020166?
-12020120
In base 11, what is -5 - -4265295?
4265290
In base 5, what is 104201344 + 4?
104201403
In base 13, what is 0 - -1019a46?
1019a46
In base 7, what is -4 + -16146433?
-16146440
In base 12, what is -3 - 1ba57bb5?
-1ba57bb8
In base 12, what is -451 + -21866?
-220b7
In base 2, what is 101110010001000001 + -110000111010?
101101100000000111
In base 2, what is 101000000111111010 + -100111000?
101000000011000010
In base 13, what is -16 - -150cc51?
150cc38
In base 7, what is 5 - -235460055?
235460063
In base 9, what is 1742708 + 7?
1742716
In base 14, what is -9746 + 79?
-96ab
In base 11, what is -986 + 6301?
5426
In base 16, what is -3 - 2548b2d?
-2548b30
In base 15, what is 90 - d86c?
-d7cc
In base 14, what is 1d + 95764?
95783
In base 16, what is -1 - -6068a9?
6068a8
In base 15, what is -2a + -18eeb9d?
-18eebc8
In base 5, what is 14 + 2114213434?
2114214003
In base 9, what is 14488744 - 3?
14488741
In base 11, what is -19190a + 59?
-191861
In base 7, what is 125 - -25265500?
25265625
In base 2, what is -10011100010001101011100 - 100?
-10011100010001101100000
In base 2, what is -1001110110101 + -10100100010?
-1100011010111
In base 16, what is -5 - 115493?
-115498
In base 9, what is 1082462 + -841?
1081521
In base 6, what is -250223343 + 2?
-250223341
In base 12, what is -18378 - -1020?
-17358
In base 5, what is 242303 - -1220224?
2013032
In base 14, what is 4 + -39084160?
-3908415a
In base 3, what is -21121122201 + 201?
-21121122000
In base 4, what is -102211112 - -1002?
-102210110
In base 6, what is -11232015 - 2054?
-11234113
In base 8, what is 537027 - 3136?
533671
In base 8, what is 75 + 221116?
221213
In base 16, what is 14 + -6e66ed?
-6e66d9
In base 9, what is -3 - -1267282?
1267278
In base 14, what is -38054 + -1bd0?
-39c44
In base 14, what is -a331 + 1b9?
-a156
In base 7, what is -12043320 + 345?
-12042642
In base 12, what is 1 + -8bb038?
-8bb037
In base 14, what is -2156d5a + -b?
-2156d67
In base 8, what is 243 + 2366771?
2367234
In base 2, what is -10000111 + 11000001
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-1/26))/(m/(m*m**20))**(3/8) assuming m is positive.
m**(189/13)
Simplify ((f*f*f**(-22)*f*f)/f**(-23))/((f/(f**(-6/11)*f))/f*f*f*f*f**(-1/2)/f) assuming f is positive.
f**(87/22)
Simplify ((b/(b*b**(-7)*b))**(-4/17))**21 assuming b is positive.
b**(-504/17)
Simplify (r/(r*r*r*((r*r**(-2/7))/r)/r)*r)**41*((r**(-2/7)/r)/r)**23 assuming r is positive.
r**(-286/7)
Simplify (s**7)**(-5)/((s**(-1/3)*s)/s)**(-45) assuming s is positive.
s**(-50)
Simplify (n**(-1)*n**2*(n**(-2/3))**43)**(3/2) assuming n is positive.
n**(-83/2)
Simplify ((i/(i/(i**(-14)*i*i)))/i*i)**21*(i*i**(-31/2)*i)/i*i*i*i*(i**(4/13)/i)/i assuming i is positive.
i**(-6895/26)
Simplify (d/((d/d**24)/d)*d*d/(((((d*d**(-1/4))/d*d)/d)/d)/d))/(d/((d/(d**(2/5)*d))/d))**(-15) assuming d is positive.
d**(261/4)
Simplify (x**(-2)*x*x*x**(-8)*x**(-3)/x**(1/6))**(-4/11) assuming x is positive.
x**(134/33)
Simplify (l*l/l**(-6)*l**2*l*l*(((l/(l/(l*l**2/l)))/l)/l*l)**20)**(3/13) assuming l is positive.
l**(96/13)
Simplify ((g**24/g)**(-7/5))**(2/29) assuming g is positive.
g**(-322/145)
Simplify (c**(11/2)/((c*c**(-1/3))/c*c*c*c))/((c*c**16/c*c)/(c**(-2/61)*c)) assuming c is positive.
c**(-4831/366)
Simplify (r/r**11)**(-2/13)/(r/(r**4/r)*r*r*r*r*r*(r/(((r*r*r*r**(-18)*r*r)/r)/r))/r) assuming r is positive.
r**(-214/13)
Simplify h**(1/23)*h*h/((((h/(h*h**(-2/35))*h)/h)/h)/h)*h*h*h*h*h**(-18)*h/(h/h**(-2/27)) assuming h is positive.
h**(-219257/21735)
Simplify s*(s*s**(1/23)*s)/s*(s/(s/(s**8/s))*s)/s*s**5/s*s**21 assuming s is positive.
s**(783/23)
Simplify (h*h*h**(1/2)/h*h*h**(-1/3)*(h**(1/2)/h)/(h*h**(2/9)))**(-40) assuming h is positive.
h**(-160/9)
Simplify (y/(y/(y**(-2/5)/y)))**(-1/77)/(y**(-8)*y*y/(y*y*y*y*y**(-7)*y)) assuming y is positive.
y**(221/55)
Simplify ((d**(13/6)/d)/d)**(2/47)/((d/d**(-2/17))/d**(-9/8)) assuming d is positive.
d**(-42869/19176)
Simplify (h*h/(h*h**(1/3)*h))**(2/15)*(h**(-3/8))**(-41) assuming h is positive.
h**(5519/360)
Simplify (x**(2/99)/x)/x**(-33)*(x**13/x)**(-13/6) assuming x is positive.
x**(596/99)
Simplify (u*u**(-12))**(-21)/(u**(-26)*u**(13/3)) assuming u is positive.
u**(758/3)
Simplify (a**(-1))**10*a/(a*a**(7/3))*a*a**(1/4)*a assuming a is positive.
a**(-121/12)
Simplify ((i**(-21)/i**(-1/2))**(-3))**(-4/33) assuming i is positive.
i**(-82/11)
Simplify (h/h**11*h**8)/((h*h*h**(-2)*h)/h)**(-4/5) assuming h is positive.
h**(-2)
Simplify (j**24*(j/(j/(j/j**(-2/83)*j)*j))/j*j)/((j*j*j/(j/(j**(-3/23)*j)))/j**(2/23)) assuming j is positive.
j**(42459/1909)
Simplify ((y*y/(y*y**(-4/3))*y)/(y*y/y**5))/(y*y**(-2)*y)**(-33) assuming y is positive.
y**(19/3)
Simplify (b/(b**(3/2)*b)*b**(-2/9)*b*(b*(b**(-1)*b)/b)/((b*b**(-2/15))/b))**(-31) assuming b is positive.
b**(1643/90)
Simplify (((m*m**(-2/7)*m*m)/m*m)/(m**(2/27)*m))/(m**(-9)/m**1) assuming m is positive.
m**(2200/189)
Simplify (y**(-18)/(y/((y/y**(3/11))/y)))**(5/7) assuming y is positive.
y**(-1060/77)
Simplify j*j**9*j*j**(-8)*j**(-17)*j**(1/14)/j assuming j is positive.
j**(-209/14)
Simplify ((z*z*z*z*z**(-1/7))/(z**2*z)*((z/(z/(z**(-1)*z))*z)/z)/z**(-7))**(-1/8) assuming z is positive.
z**(-55/56)
Simplify (m**0/m**(-2/13))/((m*m**(2/31)*m)/m**(1/11)) assuming m is positive.
m**(-8067/4433)
Simplify (z**(10/3)*z**(-4)*z)/(z/(z/z**(-1/4))*(z**12*z)/z) assuming z is positive.
z**(-137/12)
Simplify (d*d**22/d*d)/(d/(d*d**(-1/11)))*(d**(9/4)*d)**(-4/23) assuming d is positive.
d**(5653/253)
Simplify (n/n**(-36)*(n*n**27)/n)/(n*n*n/((n**29*n)/n)*(n*n**(-2/63))/n) assuming n is positive.
n**(5672/63)
Simplify ((b/(b**(2/9)*b))/(b*(b*b**(-1)*b*b)/b)*((b*b**(-7))/b)/b*b*b/(b/b**(-2)))**(-2/9) assuming b is positive.
b**(202/81)
Simplify ((c*c**(2/5))/c*c)**(-19)/(c**(-2))**47 assuming c is positive.
c**(337/5)
Simplify (c/(c/(c**0*c))*c*c/c**(2/73)*c*c)/(c**(3/5))**(1/16) assuming c is positive.
c**(28821/5840)
Simplify (((u*u*u**(1/25)/u*u)/u)/u*u**(-13/4))/(u/(u/(u**(9/5)*u))*u/(u/(u**(-11)*u))) assuming u is positive.
u**(399/100)
Simplify n**(-19)/(n*n**(-23)*n)*(n*n/n**(-7)*n)/((n/n**17)/n) assuming n is positive.
n**29
Simplify (t*(t*t**(-16))/t)/t**(-2/13)*((((t/t**(-1/20))/t*t)/t)/t*t)/(t**(-6/17)/t) assuming t is positive.
t**(-59419/4420)
Simplify (s/((s/(s*s**(-15)))/s*s))**(1/48)/((s**4/s)/s**8) assuming s is positive.
s**(113/24)
Simplify (((g/((g*g*g**12/g)/g*g)*g)/g)**(-26/5))**39 assuming g is positive.
g**(12168/5)
Simplify (b/(b**(-6)/b))**(-29/3)*(b/b**(-4))**(1/7) assuming b is positive.
b**(-1609/21)
Simplify (v**(3/2))**(31/5)*(v**(-2/5)*v)**9 assuming v is positive.
v**(147/10)
Simplify (g**8/g**(-3))/(g*g**22*g*(g**5/g)/g) assuming g is positive.
g**(-16)
Simplify ((q**(-6)*q)/(q/(q*q**(-1)/q*q))*(q/(q/(q*q**(-1/3))))/q**(-1/5))**(-32) assuming q is positive.
q**(2464/15)
Simplify (((a/((a*a**(4/5))/a))/a)/(a*a**(-1)))**6 assuming a is positive.
a**(-24/5)
Simplify ((s*s**(2/3))**(-43)*s**(2/9)*s*s**1)**(3/11) assuming s is positive.
s**(-625/33)
Simplify (d/(d**1*d)*d*d*d*d/(d/(d*d**1*d))*d*(d/((d/(d**1*d))/d))**(2/51))**38 assuming d is positive.
d**(3952/17)
Simplify (x**(-4/7))**47*(x/(x*x/(x**(-3)/x)))/x**(1/10) assuming x is positive.
x**(-2237/70)
Simplify (k*((k*k**(-8))/k)/k)**(-6)/(k**23*k**23) assuming k is positive.
k**2
Simplify (c**(-2/17))**(-10/7)/(c*c**(-1/16)*c)**(31/3) assuming c is positive.
c**(-113399/5712)
Simplify r**4/r**(-2/31)*(r**(-10))**(-13) assuming r is positive.
r**(4156/31)
Simplify ((p**5/p*p**(1/3))/((p*p*p/(p*p*p/(p/p**(-4)))*p)/(p/(p*p*p**3*p))))**(-27) assuming p is positive.
p**180
Simplify ((y*y**23/y)/y**2)/(y/y**(11/4)*y**3) assuming y is positive.
y**(79/4)
Simplify (h**(1/24)*h**(-2/3)*h)**(-39) assuming h is positive.
h**(-117/8)
Simplify (j**(-19)/j)/j**(-4/9)*(j/(j/(j/(j**(1/11)/j*j))))/j**(18/11) assuming j is positive.
j**(-2008/99)
Simplify (q**(13/3)/(q/(((q**(-18)*q)/q)/q*q*q*q)))/(q/q**(-8)*q)**(-2/31) assuming q is positive.
q**(-1118/93)
Simplify ((z**(-11)/z*z)/z)**(-39)/(z**(-3/17))**(-2) assuming z is positive.
z**(7950/17)
Simplify (b*(b*b**11*b)/b*b**21/b)/(b/(b/(b*b**(-2)))*b*b**(2/63)*b) assuming b is positive.
b**(2014/63)
Simplify ((g/g**(-2))**(-23)*g**(-1/2)*g**(-2)*g)**(1/21) assuming g is positive.
g**(-47/14)
Simplify (j**(1/6)/j)**45/(j**(-1/2)/j)**(-22) assuming j is positive.
j**(-141/2)
Simplify (h/(h*(h*h/(h**(-1/4)/h))/h*h)*h*h)/(h*h*h/(h/(h*h*h**(12/5)*h*h*h)*h*h))*(h*h**4/h*h*h*h)**41 assuming h is positive.
h**(5567/20)
Simplify ((b**20*b**(-18))**(-2/19))**32 assuming b is positive.
b**(-128/19)
Simplify (t**3)**(-2)/((t/(t*t**(-2/11)))/(t**(2/11)/t*t)) assuming t is positive.
t**(-6)
Simplify (i*i/i**14)**(-5/3)*i*i**27*i*i*i/i**(-24/11) assuming i is positive.
i**(585/11)
Simplify ((q*q**(-8))/(q*q*q**8))/(q*q/(q*q**(-1/3)))**(1/54) assuming q is positive.
q**(-1379/81)
Simplify (t*t**(-3/8)/t)**34/(t**(-2/3)/(t/(((t**(-2/15)*t)/t)/t))) assuming t is positive.
t**(-199/20)
Simplify (((d**(-2/5)*d)/d**9)/(d**(-1/3))**12)**(3/22) assuming d is positive.
d**(-3/5)
Simplify (l**(-1/4)/l)**(-6)/(l*l/l**(-2/19)*l*l**11) assuming l is positive.
l**(-251/38)
Simplify (k**(-3))**26/(k**9/k*k/(k**21*k)) assuming k is positive.
k**(-65)
Simplify ((i*(i**0/i)/i)**(3/8)/(i**13*i*i**(-9)*i))**1 assuming i is positive.
i**(-51/8)
Simplify (s**25/s**(-24))**12 assuming s is positive.
s**588
Simplify (j**(-3/14)*j*j*j**(-3)*j*j*j)/(j/(j*j**14/j))**(-1/10) assuming j is positive.
j**(17/35)
Simplify (h**9)**(-1/2)/((h*h**(3/11))/h**(-7/3)) assuming h is positive.
h**(-535/66)
Simplify k/(k/((k**(1/2)*k*k*k)/k)*k)*(k/k**(-26))/k*k*k**(-23)/k*k*k**(-2)*k*k assuming k is positive.
k**(11/2)
Simplify w*(w*(((w**(-15)/w)/w)/w)/w*w*w*w)/w*w**13/w*w**9*w**(-18) assuming w is positive.
w**(-12)
Simplify (r/r**(-6/11))**(11/7)/(r**(-15)*r**7/r) assuming r is positive.
r**(80/7)
Simplify (y*y*y**25*y)/(y**17/y)*(y/(y**31/y*y))/(y*y*y**(-5)) assuming y is positive.
y**(-15)
Simplify ((l/((l*(l**9*l)/l*l)/l)*l**(-4/5))/(l**(-1))**(-13))**(1/14) assuming l is positive.
l**(-57/35)
Simplify (w*(w*w*w*w**8*w*w)/w*w**(-2/19))/((w/w**9)/(w/(w*w/w**(-1)))) assuming w is positive.
w**(359/19)
Simplify (o**(4/19))**1/(((o/(o/o**(5/8))*o)/o)/(o/o**(-32))) assuming o is positive.
o**(4953/152)
Simplify (c**8/(c/(c*c**(3/8))))**(-4
|
{
"pile_set_name": "DM Mathematics"
}
|
-42 + -171. Let n = j - -318. Calculate the highest common factor of 15 and n.
15
Let v = -18 + 13. Let p = v + 20. What is the greatest common divisor of p and 165?
15
Suppose 0 = 3*b - 25 - 65. Let a(x) = 3*x**2 - x + 5. Let y be a(5). What is the highest common factor of y and b?
15
Let a(r) = r**2 - 2*r + 2. Let c be a(2). Suppose 2 + 7 = 3*x. What is the highest common divisor of x and c?
1
Suppose -16*t = -8*t - 192. What is the highest common factor of 108 and t?
12
Let u = 202 + -176. Calculate the greatest common factor of u and 26.
26
Let a(u) = -1 + 21 - 5*u - 3 + 18*u. Let x be a(8). What is the highest common divisor of 11 and x?
11
Let v = -8 + 4. Let q = -1 - -2. Let k be v/((0 + -1)*q). What is the highest common factor of 12 and k?
4
Suppose i - 264 = -7*i. Calculate the highest common factor of 99 and i.
33
Suppose s + 3*s = 116. Let m = s - 1. Calculate the greatest common factor of m and 7.
7
Suppose 0 = -5*o + 5*p - 125, p + 28 = -o - 3. Let m be 40/o*(3 + -10). What is the highest common divisor of 50 and m?
10
Suppose -7*k + 200 = 3*k. Calculate the highest common divisor of k and 20.
20
Suppose -j + 3 = -q, 5*q = -j - 2*j + 9. Suppose -4*u - 9 = -m, -j*m = u + 3*u - 27. What is the greatest common factor of 27 and m?
9
Let a(u) = 39*u**2 + u. Suppose -4 = 2*r - 0*r. Let h be a(r). Suppose -l = -3*f + 39, 2*f - 5*l = f - 1. What is the greatest common factor of f and h?
14
Let u be 12/(-8)*(-3 - 1). Suppose -4*v + 3*q = -131, -3*q - 8 = 7. Let a be 1 + 0/2 + v. What is the greatest common factor of a and u?
6
Suppose -s = 3*g - 24, 2*s - 124 = -2*s - 5*g. What is the highest common divisor of 4 and s?
4
Let f be (243/18)/(6/(-88)). Let o be f/(-27)*(0 - -6). Let n(h) = 3*h + 2. Let i be n(3). Calculate the highest common factor of o and i.
11
Let z = 24 + -14. Let g(d) = 4*d**3 + d**2 - 2*d + 1. Let v be g(1). Calculate the greatest common factor of v and z.
2
Suppose 0*i + 60 = 5*i. Calculate the highest common divisor of i and 36.
12
Let v(x) = -x - 8. Let m be v(-6). Let f = 0 - m. Let j = 4 + -3. What is the highest common divisor of j and f?
1
Let c = 15 - 5. Calculate the greatest common factor of 25 and c.
5
Let t = -1 - 1. Let n = t + 2. Suppose f + f - 308 = n. What is the greatest common factor of f and 14?
14
Let d be (-11)/(-3) + (-1)/(-3). Suppose 0 = 2*j - 3*j + 4. Calculate the greatest common factor of j and d.
4
Let l(d) = d**2 + d - 1. Let n be l(-2). Let w be n - 0 - (-2 - 9). Suppose 4*m + 16 = 8*m. What is the highest common factor of w and m?
4
Let f be (-10)/(-30) + (330/9 - 1). Calculate the greatest common factor of 4 and f.
4
Suppose l - 1 - 5 = 0. Suppose 51 = 4*m - 117. Calculate the greatest common divisor of m and l.
6
Let x be (-606)/(-66) - (-2)/(-11). Calculate the highest common divisor of 81 and x.
9
Suppose 144 = 5*b - 4*b. Let d be 8/(-28) + b/14. Let r = 4 - 3. Calculate the greatest common divisor of d and r.
1
Let n = -6 + 16. Suppose 2*j = 5*y + 3 + 17, -j - 3 = 4*y. Suppose j*d = 3*x + 459, -d + 68 + 16 = 2*x. What is the greatest common factor of n and d?
10
Suppose o - 3*o = 2. Let m be o + 8 - -1 - -1. Let g be (-3)/2*(-24)/m. Calculate the highest common factor of 6 and g.
2
Let h be ((-16)/64)/((-1)/52). Suppose -n = 4*r - 463, -5*r + 2*n + 0*n + 595 = 0. What is the highest common divisor of r and h?
13
Let l(w) = w**3 + 2*w**2 - 3*w + 4. Let v be l(-3). Suppose 0 = -0*m + v*m - 4. Calculate the highest common divisor of m and 1.
1
Let o be (1/1)/(3/6). Suppose n - p + 49 = 3*n, -55 = -o*n + p. Let w be 14 - (0 + 2/2). What is the highest common factor of w and n?
13
Suppose -7*h = -11*h + 792. Calculate the highest common divisor of h and 18.
18
Let t(p) = p**2 + 9*p - 3. Let x be t(-9). Let h be (-1)/(-3) - 26/x. What is the greatest common factor of 72 and h?
9
Let d be (-4)/(-5 - (-1 - 2)). Suppose -3*c + c - 14 = -s, 3*c - d*s = -22. Let p be 2/14*c*-7. What is the greatest common divisor of p and 54?
6
Suppose 10 = -2*o, 5*h + 4*o - 82 = 2*h. What is the highest common divisor of 51 and h?
17
Let g = 26 + -18. Suppose 2*k - 8 = g. What is the highest common divisor of k and 88?
8
Suppose -7*y = -2*y. Suppose -3*o + 32 = 2*g, -2*o + 6*o + 2*g - 44 = y. What is the highest common divisor of 96 and o?
12
Let s = 1 + 7. What is the greatest common factor of s and 20?
4
Let x = 252 + 9. Calculate the highest common factor of x and 29.
29
Suppose 2*u - 3 = 3*u, 9 = -2*k - 5*u. What is the highest common factor of k and 33?
3
Suppose f = -f + 3*l + 3, -3*l + 60 = 5*f. Calculate the greatest common factor of f and 72.
9
Suppose 0 = -2*q - 1 - 1. Let j be (6 - 4) + 2 + q. What is the highest common divisor of 6 and j?
3
Let t be 67*1 + (4 - 1). Suppose 0*l + l - t = 0. Calculate the highest common factor of l and 28.
14
Let p be 4/(2 + (-14)/8). What is the greatest common divisor of 16 and p?
16
Suppose 3*q + 2*d = 27, -d + 0*d = q - 10. What is the highest common divisor of q and 21?
7
Let f(d) = d**3 - 5*d**2 - 2*d + 11. Let z be (-87)/(-12) + (-12)/(-16). Let c be f(z). Calculate the greatest common divisor of c and 17.
17
Let y be 2/5 - (-267)/(-5). Let m = -37 - y. Let r = -45 - -109. Calculate the greatest common factor of r and m.
16
Suppose -4*z = -111 - 9. Calculate the highest common divisor of 20 and z.
10
Suppose 2*k - 157 = -5*f + 65, -k - 5*f = -106. Calculate the greatest common divisor of k and 4.
4
Let p = 8 - 6. Suppose -3*z - 3*s + 315 = 0, -5*z - 2*s = p*s - 524. Let q be (-78)/(-3)*2/4. Calculate the highest common divisor of z and q.
13
Let a be 2*13/1 + -1. Suppose 71 = g - a. Calculate the greatest common divisor of g and 12.
12
Suppose -1411 = -c - 512. Suppose 0 = -3*h - 140 + c. Let n(u) = 2*u**2 + 14*u + 23. Let t be n(-7). What is the greatest common factor of t and h?
23
Let y be 2/(-9) + 920/9. Let h = 162 - y. Suppose 3*z = 55 + 17. What is the greatest common factor of z and h?
12
Let t(c) = -c**2 + 10*c - 7. Let k be t(8). Let i be ((-39)/k)/((-3)/9). Calculate the highest common divisor of i and 104.
13
Let s = 1 - -33. Suppose -111 + 196 = o. Calculate the highest common factor of o and s.
17
Let s(o) = -o - o + 4 - o + 2*o**2. Let b be s(3). Let y(d) = 3*d**2 + 4*d + 1. Let c be y(4). What is the greatest common divisor of c and b?
13
Suppose 5*v + 3*c - 114 = 2*v, -2*v + 86 = 4*c. Suppose 2*m - 209 = v. Calculate the highest common factor of 11 and m.
11
Let s be -1 - 1 - (-1 - -5). Let k(b) = b**2 + 4*b - 7. Let t be k(s). Calculate the highest common factor of 5 and t.
5
Let m be 95 - (4 - 3/3). What is the highest common factor of 23 and m?
23
Let o = -10 - 4. Let y = -1 - o. Let w(q) = 18*q + 1. Let z be w(5). Calculate the highest common factor of y and z.
13
Let w be 5*6*2/4. Suppose 0 = 5*y - w + 5. What is the highest common divisor of 20 and y?
2
Let d = 2 - 1. Let b(p) = p**3 + 6*p**2 - 8*p - 5. Let n be b(-7). Calculate the highest common factor of d and n.
1
Let h = -5 + 12. Let n be 2 - (h*-31 + -1). What is the greatest common divisor of 20 and n?
20
Let b be (-220)/(-6) + (-1)/(-3). Suppose -r - 2*r = -2*j - b, 2*r + 5*j = -7. Calculate the greatest common divisor of 9 and r.
9
Let s = 8 + 5. Let k = 460 + -891. Let f be 2/(-3) + k/(-3). What is the greatest common divisor of f and s?
13
Suppose -z - 42 = -4*z. Let c be 0/(-1) + (27 - -1). Calculate the greatest common divisor of c and z.
14
Let q be ((-1)/(-3))/((-12)/(-540)). What is the greatest common divisor of 10 and q?
5
Let f(h) = 8*h**3 + 3*h**2 - 2. Let c be f(1). What is the greatest common factor of 81 and c?
9
Suppose -u + 93 = 3*n, 5*u + 31 + 44 = 3*n. Calculate the greatest common factor of 12 and n.
6
Let j(b) = b**2 - 7*b + 8. Let z be j(6). Suppose 418 = 2*w - p, -5*w = -z*w - 4*p - 632. What is the highest common divisor of 26 and w?
26
Let z(v) = v**3 - v - 2. Let c be z(2). Suppose -2*b + c*b - 30 = 0. Suppose -3*o + 18 = -0*o. What is the highest common divisor of o and b?
3
Let c(m) = m**3 - 7*m**2 - 8*m + 8. Let z be c(8). Suppose -2*a - 6 = -2*v + z, -21 = -3*v - 4*a. What is the greatest common divisor of v and 35?
7
Suppose 0 = 5*s - 6 - 4. Let d be -1 - (s - 11 - -1). What is the greatest common divisor of 7 and d?
7
Suppose 4*v - 103 = -5*
|
{
"pile_set_name": "DM Mathematics"
}
|
is the u'th term of 14407, 14429, 14461, 14503?
5*u**2 + 7*u + 14395
What is the a'th term of 280854, 1123404, 2527652, 4493598, 7021242, 10110584?
280849*a**2 + 3*a + 2
What is the s'th term of -239137, -238480, -237823, -237166, -236509, -235852?
657*s - 239794
What is the d'th term of -963, -1997, -3651, -5925, -8819, -12333, -16467?
-310*d**2 - 104*d - 549
What is the x'th term of -52297564, -52297566, -52297568?
-2*x - 52297562
What is the a'th term of 395, 899, 1479, 2135, 2867, 3675?
38*a**2 + 390*a - 33
What is the d'th term of 3155812, 3155849, 3155872, 3155875, 3155852, 3155797, 3155704?
-d**3 - d**2 + 47*d + 3155767
What is the x'th term of -18754096, -37508193, -56262290, -75016387, -93770484?
-18754097*x + 1
What is the a'th term of -481758, -481940, -482122, -482304, -482486?
-182*a - 481576
What is the p'th term of -146192, -146220, -146248?
-28*p - 146164
What is the g'th term of 3729384, 3729393, 3729408, 3729429, 3729456?
3*g**2 + 3729381
What is the l'th term of -583, -997, -1253, -1363, -1339?
-2*l**3 + 91*l**2 - 673*l + 1
What is the d'th term of 47467487, 47467489, 47467491, 47467493, 47467495, 47467497?
2*d + 47467485
What is the c'th term of 41099948, 41099947, 41099946, 41099945?
-c + 41099949
What is the p'th term of 2682913, 5365813, 8048715, 10731619?
p**2 + 2682897*p + 15
What is the g'th term of -465086, -465085, -465084, -465083?
g - 465087
What is the d'th term of -2250, -9948, -22778, -40740?
-2566*d**2 + 316
What is the h'th term of 12825148, 51300660, 115426514, 205202710, 320629248, 461706128, 628433350?
12825171*h**2 - h - 22
What is the v'th term of 45, -321, -923, -1761?
-118*v**2 - 12*v + 175
What is the i'th term of -48310973, -48310974, -48310975, -48310976?
-i - 48310972
What is the i'th term of 157325288, 157325286, 157325284, 157325282, 157325280, 157325278?
-2*i + 157325290
What is the p'th term of -569, -1568, -3143, -5288, -7997?
p**3 - 294*p**2 - 124*p - 152
What is the p'th term of 126043, 126026, 126009, 125992?
-17*p + 126060
What is the t'th term of 42937, 172308, 387935, 689824, 1077981, 1552412, 2113123?
t**3 + 43122*t**2 - 2*t - 184
What is the w'th term of -1509, -1274, -1063, -888, -761, -694?
-2*w**3 + 249*w - 1756
What is the c'th term of 10705660, 10705661, 10705660, 10705657, 10705652, 10705645, 10705636?
-c**2 + 4*c + 10705657
What is the l'th term of 2168, 7664, 16896, 29864, 46568, 67008?
1868*l**2 - 108*l + 408
What is the k'th term of -52100563, -52100564, -52100565, -52100566, -52100567?
-k - 52100562
What is the a'th term of -17208, -17127, -17056, -17001, -16968, -16963, -16992?
-a**3 + a**2 + 85*a - 17293
What is the z'th term of -18813, -21424, -28535, -42396, -65257?
-375*z**3 + 14*z - 18452
What is the a'th term of 5567, 22506, 50803, 90452, 141447, 203782, 277451?
-a**3 + 5685*a**2 - 109*a - 8
What is the c'th term of 37850, 34848, 29844, 22838, 13830, 2820?
-1001*c**2 + c + 38850
What is the w'th term of 42549865, 42549861, 42549855, 42549847?
-w**2 - w + 42549867
What is the i'th term of -11050055, -22100105, -33150155, -44200205, -55250255?
-11050050*i - 5
What is the r'th term of 90362, 180547, 270732, 360917?
90185*r + 177
What is the h'th term of 635431, 635412, 635393, 635374, 635355?
-19*h + 635450
What is the d'th term of 7543, 31792, 75203, 140230, 229327, 344948, 489547, 665578?
409*d**3 + 7127*d**2 + 5*d + 2
What is the f'th term of 638, 1485, 2332, 3179?
847*f - 209
What is the i'th term of -73865386, -147730771, -221596156?
-73865385*i - 1
What is the u'th term of 4941, 6234, 7527, 8820, 10113?
1293*u + 3648
What is the g'th term of 388, 200, -158, -728, -1552, -2672, -4130, -5968?
-7*g**3 - 43*g**2 - 10*g + 448
What is the h'th term of -5730, -11390, -17058, -22740, -28442, -34170, -39930, -45728?
-h**3 + 2*h**2 - 5659*h - 72
What is the b'th term of 43271, 43143, 43015, 42887?
-128*b + 43399
What is the n'th term of -3281, -14401, -33365, -60173, -94825, -137321, -187661?
-3922*n**2 + 646*n - 5
What is the w'th term of 20678, 83531, 188296, 334979, 523586, 754123, 1026596, 1341011?
w**3 + 20950*w**2 - 4*w - 269
What is the i'th term of -201533, -201567, -201601?
-34*i - 201499
What is the u'th term of -246642, -490036, -733432, -976830, -1220230?
-u**2 - 243391*u - 3250
What is the w'th term of 14921, 30174, 45429, 60686, 75945, 91206?
w**2 + 15250*w - 330
What is the f'th term of 21896649, 87586588, 197069819, 350346342?
21896646*f**2 + f + 2
What is the v'th term of 4627, 16837, 36629, 63997, 98935, 141437, 191497?
-v**3 + 3797*v**2 + 826*v + 5
What is the k'th term of -4670, -18851, -42466, -75497, -117926?
3*k**3 - 4735*k**2 + 3*k + 59
What is the q'th term of -5713318, -5713325, -5713334, -5713345, -5713358, -5713373?
-q**2 - 4*q - 5713313
What is the y'th term of 518665390, 518665388, 518665386, 518665384, 518665382, 518665380?
-2*y + 518665392
What is the y'th term of 7536, 14165, 19892, 24717, 28640?
-451*y**2 + 7982*y + 5
What is the x'th term of 321518, 643049, 964580, 1286111?
321531*x - 13
What is the l'th term of -31396, -62761, -94090, -125383, -156640, -187861, -219046?
18*l**2 - 31419*l + 5
What is the j'th term of -73688, -73735, -73852, -74075, -74440, -74983, -75740, -76747?
-6*j**3 + j**2 - 8*j - 73675
What is the i'th term of 94, 398, 1024, 2074, 3650, 5854?
17*i**3 + 59*i**2 + 8*i + 10
What is the t'th term of 2594, 20493, 69034, 163541, 319338?
2554*t**3 - 3*t**2 + 30*t + 13
What is the z'th term of -2539686, -2539561, -2539220, -2538555, -2537458, -2535821, -2533536?
18*z**3 - z - 2539703
What is the j'th term of 65898, 131908, 198032, 264276, 330646, 397148, 463788, 530572?
j**3 + 51*j**2 + 65850*j - 4
What is the p'th term of -20016, -41757, -63498?
-21741*p + 1725
What is the s'th term of 1941636, 1941806, 1942266, 1943160, 1944632, 1946826?
24*s**3 + s**2 - s + 1941612
What is the f'th term of -34348763, -68697528, -103046293, -137395058, -171743823, -206092588?
-34348765*f + 2
What is the y'th term of -972153, -1944315, -2916489, -3888681, -4860897, -5833143, -6805425, -7777749?
-y**3 - 972155*y + 3
What is the f'th term of -423, 439, 2769, 7299, 14761, 25887, 41409, 62059?
122*f**3 + 2*f**2 + 2*f - 549
What is the q'th term of 4704, 4738, 4768, 4794, 4816, 4834, 4848?
-2*q**2 + 40*q + 4666
What is the w'th term of 656, 2961, 7440, 14615, 25008, 39141, 57536, 80715?
87*w**3 + 565*w**2 + w + 3
What is the z'th term of -270, -577, -858, -1101, -1294, -1425?
2*z**3 + z**2 - 324*z + 51
What is the b'th term of 13783, 14201, 14969, 16087, 17555, 19373?
175*b**2 - 107*b + 13715
What is the b'th term of -34989524, -69979050, -104968566, -139958066, -174947544?
b**3 - b**2 - 34989530*b + 6
What is the a'th term of 788, 1326, 1862, 2396, 2928?
-a**2 + 541*a + 248
What is the q'th term of -255348, -255254, -255160?
94*q - 255442
What is the w'th term of -14591, -14558, -14525, -14498, -14483, -14486?
-w**3 + 6*w**2 + 22*w - 14618
What is the l'th term of 13330, 27051, 41156, 55645, 70518, 85775, 101416?
192*l**2 + 13145*l - 7
What is the q'th term of 1706084, 1706068, 1706052?
-16*q + 1706100
What is the y'th term of -16828, -16533, -16228, -15907, -15564, -15193, -14788, -14343?
y**3 - y**2 + 291*y - 17119
What is the q'th term of -76, -104, 26, 458, 1336, 2804?
24*q**3 - 65*q**2 - q - 34
What is the s'th term of 951329, 951238, 951147, 951056?
-91*s + 951420
What is the y'th term of -8746, -34862, -78390, -139330, -217682, -313446, -426622?
-8706*y**2 + 2*y - 42
What is the s'th term of -1138018, -2276112, -3414206, -4552300, -5690394?
-1138094*s + 76
What is the x'th term of 984, -338, -2564, -5688, -9704, -14606?
x**3 - 458*x**2 + 45*x + 1396
What is the x'th term of 12670, 49577, 111086, 197197?
12301*x**2 + 4*x + 365
What is the u'th term of 1479, 3601, 7095, 11931, 18079, 25509, 34191?
-5*u**3 + 716*u**2 + 9*u + 759
What is the f'th term of -151858, -303668, -455424, -607126?
27*f**2 - 151891*f + 6
What is the h'th term of 1672, 6630, 14906, 26500, 41412, 59642?
1659*h**2 - 19*h + 32
What is the w'th term of -412893, -412885, -412877?
8*w - 412901
What is the h'th term of 696201, 696199, 696195, 696189?
-h**2 + h + 696201
What is the z'th term of 419417, 838894, 1258433, 1678034, 2097697, 2517422?
31*z**2 + 419384*z + 2
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3. Determine -3*i(t) + 4*s(t).
-11*t
Let w(v) = -11*v + 4 + 29*v - 2*v**2 - 30*v. Let j(k) = 2*k**2 + 13*k - 5. Calculate -4*j(q) - 5*w(q).
2*q**2 + 8*q
Let p(r) = 1. Let i(l) = -l**2 + 54*l + 2. Calculate -i(k) + 2*p(k).
k**2 - 54*k
Let s(q) = -q + 1. Let t(x) = x - 6. Let m(o) = -5*s(o) - t(o). Let g = 25 - 16. Let c(v) = -g*v + 28*v + 1 - 14*v. Calculate 2*c(z) - 3*m(z).
-2*z - 1
Let k(u) = 19*u**2 + 6*u. Suppose -2*d - 10 = 3*g, -4*d - 12*g + 10*g = 4. Let q(w) = w**2 + w. Give d*k(n) - 6*q(n).
13*n**2
Let b(r) = -15 - 4*r**2 - r + 4*r + 20 - r**3. Let h be b(-3). Let o(l) = 12 + 9*l - 7 + 8. Let k(f) = -4*f - 6. Determine h*k(u) - 6*o(u).
-2*u
Let r(g) = -3*g**2 + 29*g + 3. Let u(a) = 2*a**2 - 28*a - 4. What is -4*r(m) - 3*u(m)?
6*m**2 - 32*m
Let x(j) = -28*j**2 - 9*j + 27. Let d(w) = 10*w**2 + 3*w - 9. Give -17*d(s) - 6*x(s).
-2*s**2 + 3*s - 9
Let m(i) = -37*i**3 + 11*i**2 + 3*i. Let t(b) be the second derivative of 3*b**5/5 - b**4/3 - b**3/6 - 70*b. What is -4*m(a) - 11*t(a)?
16*a**3 - a
Let r(g) = -g**3 - 2*g - 2. Let v(w) = -9*w**3 - 89*w**2 - 4 + 7*w**3 - 5*w + 90*w**2. Determine -5*r(j) + 2*v(j).
j**3 + 2*j**2 + 2
Let h(k) = -58*k + 13. Let u(m) = -30*m + 7. What is -6*h(g) + 11*u(g)?
18*g - 1
Let c be (-1*2)/(((-32)/(-536))/2). Let q = 70 + c. Let n(s) = 4*s**3 - 2*s + 2. Let m(x) = x**3 - x. Determine q*m(w) - n(w).
-w**3 - w - 2
Let f(n) = -n**2 + 10*n. Let r = -155 + 157. Let o(v) = 2*v**2 - 20*v. What is r*o(q) + 5*f(q)?
-q**2 + 10*q
Let k(t) = -t**2. Let v(a) = 145*a**3 + 3*a**2. Give -3*k(i) - v(i).
-145*i**3
Let i(h) = 5*h - 45. Let a(q) = -q. Calculate -4*a(c) - i(c).
-c + 45
Let h(i) = -i**2 + 2. Let v(w) = -w**2 - 47115*w + 9 - 4*w**2 + 47115*w. Determine -9*h(z) + 2*v(z).
-z**2
Let d(u) = 23*u**2 + 4*u + 23. Let a(i) = -8*i**2 - i - 8. Let x(v) = -7*a(v) - 2*d(v). Let o(c) = 7*c**2 - c + 7. Calculate 7*o(q) - 5*x(q).
-q**2 - 2*q - 1
Let q be ((-1)/3)/(1/(-3)). Let o(f) = -5*f**3 - f**2 + 2*f - 1. Let w be o(q). Let m(k) = 2*k + 5. Let x(z) = 975 - 972 + 0*z + z. Give w*m(t) + 8*x(t).
-2*t - 1
Let v(m) = -2*m**2 + 3*m - 4. Let j(a) = -4*a**2 + 7*a - 9. Let d be (1 + -4)/((-6)/(-4)). Let t be (-15)/d*4/6. Let c = -16 + 14. Give c*j(x) + t*v(x).
-2*x**2 + x - 2
Let v be 0/(-2) - (-3)/((-51)/(-17)). Let l(p) = p**3 - p**2 - p + 1. Let s(h) = -2*h**3 + h**2 + 2*h. Give v*l(g) + s(g).
-g**3 + g + 1
Let b(g) = -3*g - 4. Let u(n) = 2*n + 4. Let v be -2*1 - (-16)/88*-11. Determine v*u(h) - 3*b(h).
h - 4
Let m(c) be the first derivative of -5*c**2/2 + 2*c + 79. Let k(j) = 4*j - 3. Calculate -2*k(z) - 3*m(z).
7*z
Let d(z) = -2*z**2 - 5*z - 2. Let k(u) = -3*u**2 - 6*u - 2. Suppose 0 = -b - 2 - 1. Let g = -104 - -104. Suppose g = 7*p + 4*p - 44. Give b*k(w) + p*d(w).
w**2 - 2*w - 2
Let s(d) = 2*d**2 + 2*d. Let g(t) = -30*t**2 - 25*t. Let j(f) = 10*f**2 + 8*f. Let y(z) = -3*g(z) - 8*j(z). What is 22*s(u) - 4*y(u)?
4*u**2
Let t be 2/(-3) - 3*(-24)/27. Let v(h) = 2*h + 2. Let k(n) = -2*n - 1. Give t*v(j) + 3*k(j).
-2*j + 1
Let r = 390 + -392. Let y(b) = -b**3 + b - 1. Let p(i) = -i + 3. Calculate r*y(w) - p(w).
2*w**3 - w - 1
Let f(q) = 6*q**3 + q**2 + 12*q - 1. Let u(w) = 7*w**3 + w**2 + 12*w - 1. Calculate -6*f(p) + 5*u(p).
-p**3 - p**2 - 12*p + 1
Let n be (-1)/6*6 + 6. Let o(q) = q - 5*q**2 + 2*q**2 + 2*q**2. Let w(y) = -y**3 + 5*y**2 - 6*y - 4. Give n*o(t) + w(t).
-t**3 - t - 4
Let j(z) = 3*z - 4. Let s(c) be the first derivative of 3*c**2/2 - 3*c - 46. What is -3*j(t) + 4*s(t)?
3*t
Let s(k) be the second derivative of 9*k**5/20 - 11*k**4/12 - k**3/3 + k. Let r(a) = 6*a**2 + a - 563 - 538 - 5*a**3 + 1101. Determine -7*r(t) - 4*s(t).
-t**3 + 2*t**2 + t
Let h(k) = -k**2 - k. Let p(t) = -22*t**2 - 4*t + 5. Calculate -4*h(j) + p(j).
-18*j**2 + 5
Let o(f) = -8*f**3 - 10*f**2 - 20*f + 26. Let a(d) = -3*d**3 - 3*d**2 - 6*d + 8. Give -10*a(c) + 3*o(c).
6*c**3 - 2
Let j(z) = z**2 + z + 1. Let t be 3/9*4/((-32)/(-120)). Suppose -u - 1 = -0. Let x(i) = 3*i**2 + 5*i + 4. Determine t*j(g) + u*x(g).
2*g**2 + 1
Let d be (2/(-3))/(6/9). Let s(y) = y - 1. Let o(w) = -2*w + 2. Let a(x) = -3*o(x) - 7*s(x). Let j(f) = -7*f + 6. Give d*j(t) + 6*a(t).
t
Let y(h) = -186*h + 24. Let a(r) = -37*r + 5. Give 14*a(w) - 3*y(w).
40*w - 2
Let r(q) = 13*q**3 + 4*q**2 + 7*q - 1. Let o(i) = -4*i**3 - i**2 - 2*i. Let j(k) = -k**2 + 11*k - 21. Let f be j(4). What is f*o(b) + 2*r(b)?
-2*b**3 + b**2 - 2
Let w(c) = c + 1. Let n(j) = -j - 2. Let k(p) = n(p) - 3*w(p). Let y(z) = z. Let h(f) = -16*f - 14. Let g(m) = -h(m) - 5*y(m). Give -3*g(o) - 8*k(o).
-o - 2
Let c(i) = 24*i**3 - 7*i**2 + i - 4. Let q(b) = -25*b**3 + 8*b**2 + b + 6. Let w(k) = 3*c(k) + 2*q(k). Let v(a) = -33*a**3 + 8*a**2 - 8*a. Give 5*v(p) + 8*w(p).
11*p**3
Let y(c) = -3*c**2 - 6. Let z(x) = -47*x**2 - 44*x**2 + 41 + 87*x**2 - 48. What is 5*y(k) - 4*z(k)?
k**2 - 2
Let d(o) = -9*o + 15. Let u(b) = -13*b + 22. What is -7*d(g) + 5*u(g)?
-2*g + 5
Let i(u) = 31*u**2 + 9*u + 1. Let s(k) = k**2 - 2*k - 1. Calculate i(p) + s(p).
32*p**2 + 7*p
Let k(v) = 5*v + 6. Let w(z) = 6*z + 7. Let o be (64 - 4)/(2/(-4)) - 0. Let g = o - -125. Give g*k(p) - 4*w(p).
p + 2
Let t(s) = 116*s**3 + 136*s**2 - 24*s. Let d(f) = 5*f**3 + 6*f**2 - f. Give 136*d(x) - 6*t(x).
-16*x**3 + 8*x
Let f = -3 + -18. Let v be ((-7)/f - (-4)/(-3))*4. Let k(y) = -5*y + 11. Let g(l) = -3*l + 6. Give v*k(p) + 7*g(p).
-p - 2
Let m(f) = f + 2. Let x(y) = -3*y - 2. Let z(j) = -7*m(j) - 6*x(j). Let u(d) = -5*d + 1. Determine 5*u(s) + 2*z(s).
-3*s + 1
Let y(a) be the first derivative of 9 + 2/3*a**3 - a**2 - a. Let b(u) = -u**3 + u**2 - u. Give 2*b(f) - y(f).
-2*f**3 + 1
Suppose 7*x + 18 = 4*x + 3*a, 4*x + 5*a = -15. Let c(u) = 2*u**2 + u + 4. Let y(t) = -4*t**2 - 2*t - 9. Determine x*c(b) - 2*y(b).
-2*b**2 - b - 2
Let u(h) be the first derivative of 4*h**2 - 3*h + 1. Let j(s) = -s**3 - 7*s**2 + 50*s - 21. Let b be j(4). Let x(l) = 25*l - 10. What is b*x(v) - 10*u(v)?
-5*v
Let c(l) = l + 20. Let s(a) = -8. Let r(t) = -c(t) - 3*s(t). Let v(n) = 3*n - 9. Give -9*r(b) - 4*v(b).
-3*b
Let b(t) = -7*t**3 - 31*t**2 - 2*t + 5. Let s(f) = 2*f**3 - f**2 - 1. Calculate -b(v) - 5*s(v).
-3*v**3 + 36*v**2 + 2*v
Let p(h) = -7*h**2 + 2*h + 2. Let l(b) = 70*b**2 - 21*b - 21. Suppose 2*r + 6 = -i - 1, 4*i + 18 = -3*r. Determine r*l(o) - 21*p(o).
7*o**2
Let g(i) = -3*i + 24. Let v be g(9). Let r(s) = -11*s + 2. Let p(j) = -j + 1. Give v*p(m) + r(m).
-8*m - 1
Let h(m) = 14*m**2 + 10*m + 405. Let d(q) = -8*q**2 - 6*q - 202. Give -5*d(c) - 3*h(c).
-2*c**2 - 205
Let c(q) = -4*q - 19. Let l(u) = u + 5. Determine -6*c(p) - 26*l(p).
-2*p - 16
Let n = -79 - -33. Let d = 51 + n. Let r(x) be the third derivative of -x**4/6 + 5*x**3/6 + x**2. Let s(m) = -2*m + 2. Calculate d*s(o) - 2*r(o).
-2*o
Let z(h) = h**3 - h**2 - 4. Let n(x) = -4*x**3 + 100. Determine n(o) + 2*z(o).
-2*o**3 - 2*o**2 + 92
Let a(m) = -5*m**2 + 14*m - 6. Suppose y + 2 = n, -3*n + 3*y = y - 6. Let s(f) = 6*f + 3*f - 12*f - n - 2*f**2 + 8*f. What is -3*a(o) + 8*s(o)?
-o**2 - 2*o + 2
Let n = -125 - -129. Let f(b) be the second derivative of -3/2*b**2 + 0 + 0*b**3 + b - 1/4*b**4. Let s(a) = -a**2 - 1. Calculate n*s(p) - f(p).
-p**2 - 1
Let y(c) = -c**3. Let m(j) = 6*j**3 - 7*j**2 + 19*j - 7. Let k(u) = -3*u**3 + 3*u**2 - 9*u + 3. Let l(z) = -7*k(z) - 3*m(z). Determine l(d) + 4*y(d).
-d**3 + 6*d
Let u(q) = -2*q**2 + 4*q**2 + q**2. Let s(i) = 2*i - 9. Let t be s(8). Suppose 2*y + t = -1. Let v(x) = 2*x**2. Calculate y*v(c) + 3*u(c).
c**2
Let y(v) = -5*v + 2. Let q(j) = 10*j - 5. Suppose -5*c + 5 = 0, -4*c + 10 = f - 0*f. Suppose -f*b = -3*b - 6. Determine b*q(x) + 5*y(x).
-5*x
Let i(x) = -100*x**2 + 45*x + 45. Let n(z) = -625*z**2 + 4 + 308*z**2 + 308*z**2 + 4*z. What is 4*i(l) - 45*n(l)?
5*l**2
Suppose 2*o - 48 = 6*o - 2*w, o - 2*w = -9. Let c = o + 21. Let y(x) = 4*x + 1. Let d(u) = -6*u - 2 - 3 + 3. What is c*y(f) + 5*d(f)?
2*f - 2
Let h(n) = -80*n**3 + 87*n**3 + 7 + 32*n - 30*n. Let a(r) = 3*r**3 + r + 4. What is -7*a(l) + 4*h(l)?
7*l**3 + l
Let u(l) = 5*l**3 - 16*l**2 - 2*l + 6. Let m(v) = -14*v**3 + 47*v**2 + 6*v - 17. Give 6*m(q) + 17*u(q).
q**3 + 10*q**2 + 2*q
Let b(r) = 53*r + 16. Let n(t) = 10*t + 3. Let q(u) = -2*b(u) + 11*n(u). Let p(h) = 15*h + 5. Calculate -2*p(j) + 9*q(j).
6*j - 1
Suppose 0 = 2*q +
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the nearest to j in 2/7, -3, -5/4?
2/7
Let x = -0.5736 - -0.2736. Let v be 4/6*18/3. What is the closest to -0.1 in v, 6/13, x?
x
Let g be (1*((-30)/(-5) + 23)*-2)/(-2). What is the closest to g in 5, 2/11, 4/9?
5
Suppose 4*t = -5*u - 1 + 29, -4*t - 8 = -4*u. Which is the closest to -1.2? (a) -3/5 (b) -0.1 (c) -35 (d) u
a
Let k(i) = i**3 + 12*i**2 + 15*i - 51. Let x be k(-10). Let w = -1.74 + 1.34. Let f = 7 + -6.6. What is the closest to x in w, 0.02, f?
w
Let p be 4 - ((-30)/(-3))/((-24)/(-56)). Let o = p - -397/21. Let b(k) = -k**2 - 4*k - 4. Let n be b(-4). What is the closest to o in n, -2, 0.1?
0.1
Let i = 18 - 17.8. Let u = -142.9 - -150. Let k = u - 6.8. Which is the nearest to i? (a) 3 (b) 0.5 (c) k
c
Let s = 0.06 - -3.94. Let z = -0.177 - 0.123. Let r be (1/(-3))/(24/(-176)) - 2. Which is the nearest to 2/3? (a) r (b) s (c) z
a
Let r be 60/7 + (40 - 48). Which is the nearest to 87/10? (a) r (b) 0.5 (c) -1
a
Let f(n) = 8*n**2 - 2*n - 33. Let j be f(-2). What is the closest to 6 in j, 2/7, 5/3, 0.4?
j
Let b = -26455 - -26454.8. What is the nearest to -40 in -4, b, -2/5?
-4
Let p = 1.9376 - 1.96. Let u = 0.0776 - p. Let i(o) = -2*o**2 - 5*o - 2. Let m be i(-3). What is the nearest to u in m, 0.1, 20?
0.1
Suppose 5 = t + 5. Let n(c) = c**3 - 17*c**2 + c - 4. Let g be n(17). Suppose -2*q = -7*q - 3*d - g, 4*d + 4 = 0. What is the nearest to q in t, -1/5, -3/4?
-3/4
Let g = 195/7 + -28. Let s = -2 + 1.9. Suppose -1465*u = -5149 - 711. Which is the nearest to s? (a) g (b) u (c) 1
a
Let t = 5675/7 - 811. Which is the closest to 0.27? (a) 2 (b) 0.2 (c) 0.3 (d) t
c
Let t be (-1296)/(-1512)*21/(-12). Which is the nearest to -3? (a) -302 (b) -1 (c) -2/5 (d) t
d
Let w(k) = -k + 9. Let q be w(4). Suppose 2 = -s + q. Let d = -90 - -90. What is the nearest to d in 10, s, 0.2?
0.2
Let s be (85/75)/(-1) + 1/1. Let l = 54.1 + -54.3. Which is the closest to l? (a) 0.3 (b) s (c) -3/4 (d) 0.26
b
Let t = 4347/2 - 6521/3. What is the nearest to 0.24 in -108, 1/3, 3, t?
1/3
Let h be (-4)/(-30)*-3*(-70)/28. Which is the nearest to -2/5? (a) 3/2 (b) -2/11 (c) h (d) 2/17
b
Let d be 14 - 17 - (-218)/84. Let s = d - 2/21. Let j = -18.75 + 18.78. Which is the nearest to 0? (a) j (b) -0.4 (c) s
a
Let k = 1 - 0.7. Let j = 51320 + -51319.3. What is the nearest to 1 in k, 0.12, j?
j
Let c = 3918 + -4605. What is the nearest to -1 in 2, 0.5, c?
0.5
Let w = 4.04 - 4. Let l = 33.1 - 36.22. Let x = l - -3.02. Which is the nearest to x? (a) w (b) -3/5 (c) -4
a
Let u = -1.3 - -1.3. Let h = 0.00177 + -1.00177. Suppose 4*n = -2*d - 24, -5*n + 3*d = 6*d + 28. Which is the nearest to h? (a) 2 (b) u (c) n
b
Suppose -1935 = 11*v - 1715. What is the closest to 2/3 in 33, 1/3, -2/3, v?
1/3
Suppose 5*f - 210 - 130 = 2*a, a = 3*f - 169. Let v = a + 175. What is the closest to -2 in 9, v, 3?
v
Let z = 249 + -250. What is the nearest to 2/7 in 352/9, 4, z?
z
Let d = 0.047 - -7.653. Let l = 8.2 - d. Let j = 10 + -16. What is the closest to 2 in -0.5, l, j?
l
Let u = 31 - 27. Let j be 0*-2*(-9)/(-54). Which is the nearest to j? (a) -9 (b) u (c) 0.2
c
Suppose 3 = 3*m + 6. Let n = -11 + 16. Suppose 3*t + 22 = -5*j, 2*t - 3*t + 3*j = -16. Which is the nearest to t? (a) n (b) -1/2 (c) m
b
Let d = 1 - 3. Let p = -113/174 - -577/174. Which is the closest to d? (a) p (b) 0 (c) 2
b
Let c = 5 + -9. Let f = c - -3. Let v be 8*((-2)/(-20) - (-4)/10). What is the nearest to f in -3, 6/5, v?
-3
Let m be (-1)/(-6)*(-4)/3. Let s = 0.5 - -1.5. Let n = 638 + -4468/7. Which is the nearest to n? (a) m (b) s (c) -5
a
Let l = 1987/6 - 332. Let o be (-152)/266*14/36. Which is the closest to 2? (a) o (b) 3 (c) l
b
Let q(x) = x**3 - 10*x**2 - 10*x - 16. Let p be q(11). Let i = -2.3928 + -0.6072. Which is the closest to 11? (a) -1/6 (b) p (c) i
a
Let y = -0.1 - 0.1. Let h be 2 - ((-23)/(-11))/1. Let z = -11698 + 11703. Which is the closest to h? (a) -2 (b) y (c) z
b
Let i be 6426/99 + (-48)/(-44). Which is the nearest to 2/9? (a) 0 (b) i (c) 3 (d) -1/4
a
Let n = -10308 - -10339. Which is the closest to 0? (a) -7 (b) 1/5 (c) n
b
Suppose -57*t + 19 + 152 = 0. What is the closest to -4 in -0.3, 9, t, 2/5?
-0.3
Let k = -418.7 + 418.2. Which is the closest to 1.6? (a) 3/2 (b) k (c) 3 (d) 0.4
a
Let z be -1 + ((-16)/7 - -3). Let i(h) = 2*h + 5. Let y be 3/((-25)/10 - -4). Let x be i(y). What is the closest to x in z, -3/2, -5/6?
z
Let r = 28.46 + -25.76. Which is the nearest to -0.6? (a) -6 (b) 0.2 (c) 1/4 (d) r
b
Suppose -58*w = -54*w - y + 64, -6*w = 3*y + 96. Which is the nearest to -2? (a) w (b) 2/13 (c) 4
b
Let c be -2 + (-91)/(-416)*8. Let f = 2 + -3. Let q = -1/23 - 35/253. What is the nearest to q in f, 3, c?
c
Let l = -0.463695 + 5.463695. Let h be 4/5 + (-2 - -2). What is the closest to 0 in -43, h, l?
h
Let t = -29/6 - -121/30. Let g = 7/15 + t. Let n = -17/10 - -1/30. Which is the nearest to -2/9? (a) g (b) n (c) 2/13
a
Let s = -6533 + 6554. Which is the closest to 2/5? (a) -3/7 (b) s (c) 0.3
c
Suppose 0 = -6*k - 205 - 545. Let v = k - -129. Which is the closest to -2/9? (a) 5 (b) -3 (c) v
b
Let z = -0.08664 + 2.08664. What is the nearest to z in 55, -0.3, 2?
2
Let v = -20.137 - -20.077. Which is the nearest to v? (a) 0.1 (b) 70 (c) 1
a
Let y = -2.687 - 0.313. Suppose -13 - 4 = 17*m. What is the nearest to m in 2/15, 3, 0.1, y?
0.1
Suppose 0 = 19*t - 7*t - 60. Suppose -18 - 12 = -t*s - 2*v, -2*s + 12 = v. Which is the nearest to 0? (a) s (b) -2 (c) -0.2
c
Let p be 8/10 + (-5 - 138/(-15)). Suppose 65*v - 168 = 23*v. What is the nearest to 15 in p, -0.5, v, 0.1?
p
Let j = 6 + -6.075. Let q = 0.465 + j. Let f = q - 0.89. Which is the closest to -0.1? (a) -1 (b) 1 (c) f
c
Let n be (3 - (-3)/(-6))*(-243 - -241). What is the nearest to 2/7 in n, 30, -0.3, -4?
-0.3
Let q = 4735 + -4731. Which is the closest to -0.3? (a) 0.3 (b) q (c) -17 (d) -3
a
Let u be (58 - 64)*(-129)/25. Let o = u - 31. Which is the nearest to 2? (a) -3 (b) o (c) -1
b
Let k = -2.21 - -2.3. Let t = -17 + -130. Let o = 731/5 + t. What is the nearest to -2 in -2, o, k?
-2
Let v = -9.74 + 16.5. Let s = v - 6.8. What is the nearest to -2/5 in 1, s, -3?
s
Let h(m) = 35*m - 1363. Let l be h(37). Which is the closest to -1? (a) 4 (b) -12/11 (c) l
b
Let y be ((56/32)/7)/(-3 + 4). Let l = 3 + -2.7. What is the closest to -21 in l, -0.1, y?
-0.1
Let d = 3090 + -3087. Which is the nearest to 0.7? (a) -3 (b) d (c) 17
b
Suppose 5*p = -4*k + 1695, 0 = 9*p - 6*p - 4*k - 1017. Let m = p - 1016/3. What is the closest to m in 2, 23, -0.5?
-0.5
Let n = 4 - 4.1. Let j = 9832 + -9837. Which is the nearest to n? (a) -1/5 (b) 4 (c) j
a
Let g = 27.9 - 142.9. Let m = -114 - g. Let k be 2/(2 - 14/3). Which is the closest to -1? (a) m (b) 2/9 (c) k
c
Suppose -8*h - 10*h + 18 = 0. Let u = 3114 + -3113.9. What is the closest to 1 in h, u, 0.2, -2/163?
h
Let g = -7292 - -51042/7. Which is the nearest to g? (a) -1/4 (b) -1/3 (c) 3/8 (d) -54
a
Let f = -16.9 - -17. Which is the nearest to f? (a) -1 (b) -1/3 (c) -3 (d) 4
b
Let i = 3155 - 3156. What is the closest to 7 in 5, i, 2/17?
5
Let m = 43.01132 - 0.01132. What is the closest to 0 in -1, m, 0.5, 0?
0
Let t = -0.71 + 0.11. Let r = -15.3 + 28.7. Let d = 13 - r. What is the nearest to -1 in d, -5, t?
t
Let x = 0.2 - -0.2. Suppose -d - 738 = -3*p - p, -918 = -5*p - d. Let q = p + -186. What is the closest to x in -0.5, q, -5?
-0.5
Let x = 7/33 - 6/11. Let i = -2.27 - 489.73. Let f = -497 - i. Which is the closest to -1? (a) -3/7 (b) x (c) f
a
Suppose 9 = -4*d - 7. Let g = 287353/3 - 95785. Which is the nearest to 78? (a) d (b) -2/11 (c) g
b
Suppose 0 = -85*i + 137*i + 2236. What is the nearest to i in -2, 4/11, 3, -0.4?
-2
Let d = 0.1 - -3.9. Let j = -0.02 - -8.02. Let c = 107.7 + -109.7. What is the closest to -1/2 in d, c, j?
c
Let o = 882.7 - 882.772. Which is the closest to -1? (a) -0.2 (b) o (c) -1/9
a
Let a = -0.1 + -0.1. Let v = 775 - 777. Let u be 11 - (-8)/((-24)/21). What is the nearest to u in a, v, 7?
7
Suppose 2*i - 24 = -4*w - 2*i, -6 = 2*w - 4*i. Let u = -41/12 - -11/3. Let d = -0.1796 + 0.0896. What is the closest to u in w, d, 2?
d
Let i be 8/26 - 85860/323830. What
|
{
"pile_set_name": "DM Mathematics"
}
|
the prime factors of 2730753.
3, 33713
List the prime factors of 6133794.
2, 3, 61, 16759
List the prime factors of 3459739359.
3, 211, 5465623
List the prime factors of 893528192.
2, 271, 25759
List the prime factors of 266082738.
2, 3, 233, 190331
List the prime factors of 87692255.
5, 7, 257, 9749
List the prime factors of 70896082.
2, 35448041
What are the prime factors of 49573329?
3, 13, 1271111
What are the prime factors of 341841934?
2, 7, 1087, 3209
List the prime factors of 27871289.
3607, 7727
List the prime factors of 2515912738.
2, 191, 389, 16931
List the prime factors of 187988520.
2, 3, 5, 1566571
What are the prime factors of 717184928?
2, 22412029
What are the prime factors of 4304323807?
7, 12549049
List the prime factors of 39393498.
2, 3, 19, 31, 71, 157
What are the prime factors of 24969382?
2, 19, 657089
List the prime factors of 148876971.
3, 49625657
What are the prime factors of 29876410?
2, 5, 89, 33569
What are the prime factors of 40128132?
2, 3, 11, 109, 2789
What are the prime factors of 812388452?
2, 17, 53, 431, 523
What are the prime factors of 57182414?
2, 31, 283, 3259
List the prime factors of 4333215058.
2, 71, 30515599
What are the prime factors of 1965758663?
11, 178705333
List the prime factors of 2816507917.
101, 3361, 8297
List the prime factors of 1754320050.
2, 3, 5, 7, 79561
What are the prime factors of 1975597369?
1975597369
List the prime factors of 242076365.
5, 31, 61, 25603
List the prime factors of 51113978.
2, 31, 824419
What are the prime factors of 14535340?
2, 5, 17, 42751
List the prime factors of 3256976075.
5, 130279043
What are the prime factors of 983386426?
2, 11, 1459, 30637
What are the prime factors of 544802092?
2, 7517, 18119
What are the prime factors of 8231425467?
3, 2743808489
List the prime factors of 118358723.
7, 1193, 14173
List the prime factors of 49387564.
2, 43, 287137
What are the prime factors of 2070796774?
2, 1433, 722539
What are the prime factors of 302131304?
2, 1619, 23327
What are the prime factors of 1611312075?
3, 5, 37, 149, 433
What are the prime factors of 234566558?
2, 23, 29, 175837
List the prime factors of 20212571.
1811, 11161
What are the prime factors of 28782137?
127, 226631
What are the prime factors of 1236386056?
2, 97, 1593281
List the prime factors of 33108370.
2, 5, 3310837
List the prime factors of 36361237.
11, 1087, 3041
What are the prime factors of 1264556953?
11, 114959723
What are the prime factors of 320619299?
7, 11, 13, 45757
List the prime factors of 241669325.
5, 29, 333337
List the prime factors of 368516215.
5, 1831, 40253
What are the prime factors of 189082385?
5, 37816477
List the prime factors of 966795484.
2, 631, 383041
List the prime factors of 2131237383.
3, 11, 31, 2083321
List the prime factors of 3481353344.
2, 7, 397, 9787
List the prime factors of 7022815382.
2, 11, 89, 3586729
What are the prime factors of 6571902045?
3, 5, 438126803
What are the prime factors of 98056736?
2, 227, 13499
What are the prime factors of 5257178395?
5, 7, 21457871
List the prime factors of 11101947.
3, 19, 194771
List the prime factors of 1098920200.
2, 5, 7, 29, 27067
What are the prime factors of 144006807?
3, 7, 6857467
List the prime factors of 497414988.
2, 3, 7, 739, 2671
What are the prime factors of 461341774?
2, 19, 23, 527851
List the prime factors of 5970846900.
2, 3, 5, 19, 449, 2333
What are the prime factors of 1695116198?
2, 19, 44608321
List the prime factors of 287339701.
11, 599, 43609
List the prime factors of 500574104.
2, 29, 379, 5693
What are the prime factors of 416132003?
7, 31, 1917659
What are the prime factors of 510499295?
5, 102099859
What are the prime factors of 142353237?
3, 13, 109, 33487
List the prime factors of 48511807.
19, 23, 31, 3581
What are the prime factors of 36918497?
7, 11, 479461
List the prime factors of 28577166.
2, 3, 1487, 3203
List the prime factors of 355213865.
5, 179, 396887
List the prime factors of 112959996.
2, 3, 9413333
What are the prime factors of 2940327676?
2, 11, 13, 701, 7333
List the prime factors of 4230881513.
37, 73, 839, 1867
List the prime factors of 29774999.
59, 504661
What are the prime factors of 3073000351?
907, 3388093
What are the prime factors of 50352493?
163, 541, 571
List the prime factors of 2358411764.
2, 883, 667727
List the prime factors of 1673176048.
2, 6703, 15601
What are the prime factors of 3234459350?
2, 5, 101, 727, 881
List the prime factors of 225528530.
2, 5, 22552853
List the prime factors of 257353237.
43, 5984959
What are the prime factors of 50137707?
3, 3001, 5569
List the prime factors of 52025723.
317, 337, 487
What are the prime factors of 44745481?
11, 67, 109, 557
What are the prime factors of 24405964?
2, 11, 157, 3533
What are the prime factors of 4609458475?
5, 184378339
List the prime factors of 8287336.
2, 1035917
List the prime factors of 421605130.
2, 5, 42160513
List the prime factors of 38843280.
2, 3, 5, 7, 367
List the prime factors of 1530336445.
5, 11, 27824299
List the prime factors of 29332868.
2, 67, 109451
List the prime factors of 34384621.
34384621
List the prime factors of 42031928.
2, 61, 86131
List the prime factors of 388229178.
2, 3, 64704863
List the prime factors of 35723267.
35723267
List the prime factors of 7168300736.
2, 29, 79, 48889
List the prime factors of 85548719.
877, 97547
What are the prime factors of 74879878?
2, 37439939
What are the prime factors of 537895993?
53, 10148981
List the prime factors of 80070071.
127, 630473
What are the prime factors of 55961089?
443, 126323
List the prime factors of 665854004.
2, 2153, 77317
What are the prime factors of 2330783728?
2, 7, 13, 1600813
What are the prime factors of 50026470?
2, 3, 5, 13, 128273
List the prime factors of 15812870.
2, 5, 1581287
List the prime factors of 891515809.
53, 3557, 4729
List the prime factors of 257074777.
311, 826607
What are the prime factors of 373890?
2, 3, 5, 11, 103
List the prime factors of 710844678.
2, 3, 2819, 14009
List the prime factors of 50757235.
5, 479, 21193
List the prime factors of 31121851.
59, 527489
List the prime factors of 127894458.
2, 3, 563, 37861
List the prime factors of 4035339892.
2, 6949, 145177
List the prime factors of 1066409334.
2, 3, 19748321
What are the prime factors of 275440821?
3, 47, 1953481
What are the prime factors of 1224859353?
3, 408286451
What are the prime factors of 38448561?
3, 103, 124429
What are the prime factors of 142612384?
2, 257, 17341
What are the prime factors of 217645567?
2693, 80819
List the prime factors of 54013853.
61, 885473
What are the prime factors of 5071163105?
5, 41, 617, 40093
What are the prime factors of 2705868553?
6547, 413299
List the prime factors of 4593133880.
2, 5, 114828347
What are the prime factors of 2110267994?
2, 113, 9337469
List the prime factors of 1815164481.
3, 13, 251, 185429
What are the prime factors of 4938294285?
3, 5, 613, 179021
What are the prime factors of 438425004?
2, 3, 36535417
List the prime factors of 2236088025.
3, 5, 1104241
List the prime factors of 539382182.
2, 757, 356263
What are the prime factors of 63783507?
3, 17, 131, 9547
List the prime factors of 79794513.
3, 8866057
List the prime factors of 1180715484.
2, 3, 13, 17, 139, 3203
What are the prime factors of 43594636?
2, 499, 21841
What are the prime factors of 519529260?
2, 3, 5, 1061, 8161
What are the prime factors of 5935273708?
2, 7, 13, 16305697
What are the prime factors of 1445654924?
2, 7, 53, 974161
What are the prime factors of 6126330049?
7, 53, 2377, 6947
What are the prime factors of 1060716116?
2, 19, 23, 47, 12911
List the prime factors of 40226525.
5, 1609061
What are the prime factors of 1494500811?
3, 498166937
List the prime factors of 105293804.
2, 7, 11, 341863
What are the prime factors of 2755799427?
3, 21943, 41863
List the prime factors of 279182800.
2, 5, 13, 53, 1013
What are the prime factors of 1828725270?
2, 3, 5, 60957509
What are the prime factors of 196526783?
17, 11560399
What are the prime factors of 72721661?
283, 256967
What are the prime factors of 156248203?
156248203
List the prime factors of 592687146.
2, 3, 43, 73, 31469
List the prime factors of 4610558564.
2, 23, 199, 251833
What are the pri
|
{
"pile_set_name": "DM Mathematics"
}
|
e remainder when g is divided by s(-12).
54
Let n(m) = -34*m + 412. Calculate the remainder when n(0) is divided by 78.
22
Let p(w) = 7*w**2 - 4*w - 3. Let l be -6 - 1 - (15 - 18). Calculate the remainder when p(l) is divided by 175/(-280) - (-261)/8.
29
Let s(b) = b**2 + 10*b + 27. Suppose -3*y = 3*g - 120, 7*y - 5*y + 96 = 2*g. Calculate the remainder when s(11) is divided by g.
38
Suppose 0 = -5*w + 5*r + 2238 + 562, 5*r = 3*w - 1682. What is the remainder when w is divided by 6/(-5)*4240/(-72) + 60/(-90)?
69
Suppose 276 - 92 = -4*s. Let k = 27 - s. Suppose 0 = -7*l + 179 + k. Calculate the remainder when l is divided by 13.
10
Suppose -2*c = 6, -18*r - 2*c + 34 = -16*r. Suppose 5*k + r = 0, -5*h + 339 = -4*k - 32. What is the remainder when h is divided by 44?
27
Let u(z) = -z**3 + 6*z**2 + 3*z - 11. Suppose j - 29 = 5*k + 132, -4*j + 2*k + 572 = 0. What is the remainder when j is divided by u(5)?
25
Suppose g = b + 211, 198*g - b + 419 = 200*g. Calculate the remainder when 1262 is divided by g.
2
Let o(r) = -2*r - 6. Let u(z) = z**2 - 3*z - 5. Let t(i) = -5*o(i) + 4*u(i). Let p be t(3). Let q = 89 - p. What is the remainder when q is divided by 10?
9
Suppose -2*k + 5*x = -82, -x - 3075 = -2*k - 2993. What is the remainder when 973 is divided by k?
30
Suppose 13 = -2*s + 17. Suppose 2*p + s*y - 118 = 0, -4*y + 300 = 5*p - 0*y. What is the remainder when p is divided by 17?
13
Suppose 622*z = 625*z - 159. What is the remainder when z is divided by 1?
0
Let n = -6521 + 6860. Calculate the remainder when n is divided by 41.
11
Calculate the remainder when 5/(-8 + 1284/160) + (-12)/2 is divided by 57.
23
Suppose 5*k + 284 = 2099. What is the remainder when k is divided by 11/693*14 - (0 + (-696)/27)?
25
Calculate the remainder when ((-1017)/678)/(2/(-456)) is divided by 138.
66
Let z = 464 - 457. Suppose z*o - 7 = 287. Calculate the remainder when 502 is divided by o.
40
Let n be (0 - 3)/(-1) - 6. Calculate the remainder when 7/3*(-18 - (6 - 33)) is divided by ((-8)/(-6))/(n/(-27)).
9
Suppose 2*t - 8 = 5*k - 2*k, 12 = -3*k. What is the remainder when ((-39)/(-13) - (t - 169))*1 is divided by 22?
20
Let x = 2 - 3. Let a be 258 - (-8 + 4/4). What is the remainder when x/((-5)/a) - -4 is divided by 12?
9
Suppose 4*u = 0, 0 = -5*s + u + 12 + 23. Let x(o) = 2*o**2 - 12*o + 35. Calculate the remainder when x(s) is divided by 31.
18
Let g = -397 - -401. Suppose g*r + 32 - 152 = 0. What is the remainder when r is divided by 26?
4
Suppose 0 = 2*i + 14, -209*b = -211*b - 4*i + 712. Suppose -s + 2*w + 75 = -16, 0 = s - 4*w - 89. Calculate the remainder when b is divided by s.
91
Suppose -7*l = -4*l - 0*l. Suppose l*j = 7*j - 126. Calculate the remainder when 43 is divided by j.
7
Let n be (-1 + (-2)/2)/(76/(-114)). Suppose -3*c - n*b = -69, 0 = 5*c - 10*c - 2*b + 115. What is the remainder when 44 is divided by c?
21
Suppose -23*k + 186 = -1217. Calculate the remainder when 1826 is divided by k.
57
Suppose 84*u = 25*u + 38232. Calculate the remainder when u is divided by 92.
4
What is the remainder when (189/5)/((-240)/(-1200)) is divided by 70?
49
Let q = -91 + 121. Let j = q - 26. Suppose 12 = -4*c + j, 2*a = c + 18. Calculate the remainder when 37 is divided by a.
5
Suppose -23*d = 20*d - 473. Calculate the remainder when d is divided by 4*1 - (4 + -3).
2
Suppose r + 3*m = 73, -r - 93*m + 96*m + 49 = 0. Calculate the remainder when 536 is divided by r.
48
What is the remainder when 872 is divided by 158/4 - (1 - 3/(-6))?
36
Let h(f) = 29*f**2 - 73*f + 72. Calculate the remainder when 30 is divided by h(1).
2
Let c(g) = 5*g**2 + 13*g - 83. Let a be c(5). Let w = 157 - a. Calculate the remainder when 143 is divided by w.
43
Let k = 395 - 303. Suppose 2*f + 5*w - k = -21, 2*f = -4*w + 66. What is the remainder when 43 is divided by f?
20
Let a be ((-7)/(-5))/1 + (-12)/(-20). Let k = a - -5. What is the remainder when 159 is divided by k + -5 - (-84)/4?
21
Suppose -2*o - 19 = -3*s, 2*s - 4*o = -3*o + 13. Let n(a) = a**3 - 5*a**2 - 16*a + 20. Calculate the remainder when 27 is divided by n(s).
3
Suppose 5*n = -p + 33, 73 = 5*p - 44*n + 46*n. What is the remainder when 17339 is divided by p?
10
Suppose -5*a = 10, -d + 15 = 4*a + 26. Let z(o) be the second derivative of o**4/4 - o**3 - 5*o**2/2 - o. Calculate the remainder when z(d) is divided by 7.
5
Let w = -50 + 140. Suppose -5*j + 194 = -4*y, 3*y + w = 2*j + 18. Calculate the remainder when 80 is divided by j.
38
Let f = 202 - 176. Let g(u) = 12*u - 1. Let x be g(2). Suppose -r = -x - 28. Calculate the remainder when r is divided by f.
25
Let q(i) = 17*i + 7. Let m be q(2). Suppose 3*u = -2*c + 2*u + 133, u + 322 = 5*c. Suppose c + m = 2*d. Calculate the remainder when d is divided by 9.
8
Let l(t) = -t**3 + 7*t**2 + 7*t. Let r be l(8). Let y = r + 24. Let u = -194 - -201. Calculate the remainder when y is divided by u.
2
Suppose 5*r - 4733 = -2*h, 4*h = 9*r - 10*r + 961. Calculate the remainder when r is divided by 11.
10
Let j(s) = -267*s - 1267. What is the remainder when j(-8) is divided by 13?
11
Let z(y) = 10*y**2 + 2*y - 1. Let h(l) = -l**3 + 2*l + 10. Let q be (6 - 0)/(2 + -1 - 3). Calculate the remainder when h(q) is divided by z(1).
9
Let x(o) = -3*o + 30. Let h(c) = -33*c - 24*c + 61*c - 30. Let w(u) = 4*h(u) + 3*x(u). What is the remainder when w(16) is divided by 42?
40
Let f = -1547 + 1919. Calculate the remainder when f is divided by 75.
72
Calculate the remainder when 358 is divided by (-5)/(-25)*(2 - -8)*(-214)/(-4).
37
Let c = -5633 + 6811. Calculate the remainder when c is divided by 237.
230
Let y = -3483 + 9023. What is the remainder when y is divided by 33?
29
Suppose 1450 = -2*v + 2*y, 12*y = v + 14*y + 713. Let p = v + 755. Calculate the remainder when 237 is divided by p.
33
Suppose -2*x + 2940 + 1214 = 5*r, x + 835 = r. What is the remainder when (-54)/135 + r/5 is divided by 43?
37
Suppose 240*w - 76308 + 3939 - 13311 = 0. Calculate the remainder when w is divided by 136.
85
Let k(b) = b**2 + 63 + 3 - 8*b + 11*b + 2*b + 17*b. Calculate the remainder when k(-28) is divided by 75.
9
Let v(o) = 6*o - 9. Let z be (256/(-56) + 4)/(1/(-28)). Suppose -280 = -4*a - z*a. What is the remainder when v(8) is divided by a?
11
Let t = -25904 - -26096. Let x = 59 - 3. Calculate the remainder when t is divided by x.
24
Suppose 5*o = -4*h + 824, -45*h + 40*h - 356 = -2*o. What is the remainder when 654 is divided by o?
150
Suppose -5*l - 5*i + 40 = 15, -4*i = 3*l - 14. Suppose -l*z = -z - 1335. Let t = z + -188. Calculate the remainder when t is divided by 14.
9
Let k = 253 - 187. Let h = 54 + -40. Calculate the remainder when k is divided by h.
10
Let z = -51 + 58. Suppose -z = -g - 4. What is the remainder when 426/9 + (g - 7/3) is divided by 27?
21
Suppose 26 = 5*k + 4*h, 40*h + 15 = 3*k + 43*h. What is the remainder when 383 is divided by k?
5
Let v(y) = -23*y**2 + 56*y + 2. Suppose 0*s - 3*i + 50 = -5*s, 3*i = 0. What is the remainder when (-6)/s*290/2 is divided by v(2)?
21
Suppose -3*z + z + 1034 = 0. Suppose 147 = 5*q + z. Let v = -46 - q. What is the remainder when 137 is divided by v?
25
Let i(r) = r**3 - 3*r**2 + 4*r - 4. Let q(t) = 83*t - 461. What is the remainder when i(5) is divided by q(6)?
29
Suppose -3 = 3*h - 35 - 10. Calculate the remainder when 406 is divided by h.
0
Let b be (408/85)/(3/(-105)). What is the remainder when (-1)/7 + (-10944)/b is divided by 27/(3 - 0) + 2?
10
Let j(p) = -p**2 + 29*p - 56. Let s(h) = 79*h**2 - 3*h + 5. What is the remainder when s(-3) is divided by j(26)?
21
Let q(o) = 4*o - 56*o + 60*o**2 - 3 - 63*o**2. Calculate the remainder when 191 is divided by q(-17).
9
Let x(j) = j**2 - 14*j + 15. Let k = 17 - 26. What is the remainder when x(k) is divided by 14?
12
What is the remainder when (-96)/120*-4*125 is divided by 94?
24
Let b(w) = w**3 - w + 1. Let k be b(0). Let v(f) = 83*f**3 + 10*f - 9. Calculate the remainder when v(k) is divided by 10.
4
Suppose -23 = -3*g + 7. Let u be ((-28)/g)/(2/(-240)). Suppose 5*v - u = 2*v. Calculate the remainder when v is divided by 23.
20
Suppose i + 838 + 37 = -4*r, -665 = 3*r - i. Calculate the remainder when 147 is divided by 6/(-4)*r/33.
7
Suppose 8*v + 139 = 524 + 375. What is the remainder when 192
|
{
"pile_set_name": "DM Mathematics"
}
|
t h, 0, -2 in descending order.
0, -2, h
Let f = 9 + -9. Suppose -c - 4*h - 28 = 0, 6 + f = -2*h. Let r = -14 - c. Sort 1, r, -14 in descending order.
r, 1, -14
Let s be (305/40 - 8)*4/(-6). Sort 0.05, s, 4 in decreasing order.
4, s, 0.05
Let s be -5 - (-38)/19 - (-62)/10. Put -9, -0.3, s in ascending order.
-9, -0.3, s
Let d(w) = -9*w + 161. Let c be d(18). Sort -4, 24, 3, c in descending order.
24, 3, c, -4
Suppose 2*x + 2*x = -152. Let d = x - -24. Let n = d - -10. Put 2, n, -2 in decreasing order.
2, -2, n
Let d(a) = -2*a - 1. Let p be d(-9). Suppose 5*z + 0*k = 3*k + p, -3*z + 11 = -k. Suppose -7*u = -2*u, z*n + 2*u + 12 = 0. Put 2, 4, n in descending order.
4, 2, n
Let s(c) = -c**3 - 10*c**2 - 11*c + 1. Let g = -39 + 30. Let b be s(g). Put 3, 5, -1, b in ascending order.
-1, 3, 5, b
Let w be (-1)/(-28) - 2/(-8). Let g = -160 - -114. Let b = g - -45.6. Put w, b, 3 in descending order.
3, w, b
Let u = 308 - 308.1. Sort u, 0.4, 52.
u, 0.4, 52
Let x(r) = 21*r - 94. Let p be x(5). Put -2, 9, p in decreasing order.
p, 9, -2
Suppose 0 = 5*q - 4*o - 11, q - 4*q + 13 = 4*o. Let f be (-2)/(((-27)/(-3))/q). Let h be 1/(-5)*(14 - 13). Sort h, f, -0.4.
f, -0.4, h
Let m = 0.16 + 0.24. Let a = 0 + -0.04. Let z = a - 4.96. Put z, -8, m in descending order.
m, z, -8
Let v(y) = y**2 + 4*y - 12. Let s be v(-6). Suppose -4*m = 2*l - 12, 6 + 22 = 3*l - 4*m. Suppose s = l*a - 4*a - 16. Sort -8, a, 0.
-8, 0, a
Let p(l) = 2*l + 7. Let w be p(-4). Let o be 2 - 4/(-8)*0. Sort o, -5, 5, w in descending order.
5, o, w, -5
Let o = -70/13 - -72/13. Let q = 0.9693 + 0.0307. Put -4/5, -1/10, o, q in descending order.
q, o, -1/10, -4/5
Let w(l) = -l**2 + 7. Let u be w(0). Let s(i) = i**3 - 3*i**2 + 2*i - 2. Let x be s(2). Let h be -5 - ((-2)/3)/(12/90). Put u, x, h in descending order.
u, h, x
Let k = -1 - 4. Let h = -1233/2 + 621. Sort k, 0.4, h in decreasing order.
h, 0.4, k
Let z = 381 - 364.7. Sort 0.4, z, -1/5.
-1/5, 0.4, z
Let y = 1.9327 - -0.0673. Put -0.2, -12, y, -2/11 in increasing order.
-12, -0.2, -2/11, y
Let d(o) = -o**3 + 41*o**2 + 44*o - 87. Let s be d(42). Sort 2, -1, s, 13.
s, -1, 2, 13
Let d be -1 + -1 + 7/3. Let y = -21 + 30. Suppose -3*u - 3*v = -y, 0 = v + 2. Sort u, d, 2 in increasing order.
d, 2, u
Let s(a) = -6 + 4*a - 4*a + a + 0*a. Let y be s(6). Suppose -4 = 18*r - 16*r. Put r, y, 4 in ascending order.
r, y, 4
Let i = 714 + -827. Sort i, -4, -5 in descending order.
-4, -5, i
Let f be 4/(-10) - (-4)/10. Let o = -3 - f. Let g = 203 - 198. Put o, -2, g in decreasing order.
g, -2, o
Suppose 105 = 8*i - 13*i. Let w be (-6)/i - 74/14. Put 0, -3, w, -9 in descending order.
0, -3, w, -9
Let n = -26 + 25.93. Put n, -1/8, 4, 0.4 in decreasing order.
4, 0.4, n, -1/8
Suppose -5*k - 4*n - 10 = 0, 4*k - 19*n + 8 = -20*n. Suppose -3*u = -z + 16, -3*z + z = -5*u - 27. Suppose 0 = 5*d - 22 + 7. Sort z, k, d in descending order.
d, z, k
Suppose -3*w + 2*l = 108, -l = 5*w - 2*w + 99. Sort -2, w, 2.
w, -2, 2
Let p = -210 - -226. Sort 3, 1, p in decreasing order.
p, 3, 1
Let a = -5.4 + 5. Let j = 1.43 + 0.92. Let f = -0.65 - j. Put a, 1, f in descending order.
1, a, f
Suppose s - 24 + 19 = 0. Suppose -x + 6 = -2*d, 0*d + 3*d + 23 = s*x. Put 6, 1, x in ascending order.
1, x, 6
Let z = -4 + 0. Let r = -9 - -12. Sort 4, z, r in increasing order.
z, r, 4
Let i = -11595/7 + 1657. Sort -1/3, i, -3, 5 in decreasing order.
5, i, -1/3, -3
Suppose c - 4 = -0. Suppose 2*v = j + 14, 0*j = 2*j + c*v + 4. Let t = j - -9. Sort t, -4, -5 in descending order.
t, -4, -5
Suppose -62*h = 41 + 21. Sort h, -17, -5, 2.
-17, -5, h, 2
Suppose -4*p + 5*r + 36 = -75, 2*r + 6 = 0. Let u = 21 - p. Sort -5, 2, u.
-5, u, 2
Suppose -474 = -4*c - 2*c. Let h = c - 79. Sort 3, -2, -1, h in decreasing order.
3, h, -1, -2
Let d = 0.5218 - 243.8218. Let p = -275 - d. Let o = p - -31. Sort o, -0.5, -5/4 in ascending order.
-5/4, o, -0.5
Suppose 2*m + 3*s - 4 = 0, s + 2 + 6 = -3*m. Let j be (-78)/4*m/6. Suppose -2*d = -3 + j. Sort 2, d, -1.
d, -1, 2
Suppose -2*g - 8 - 2 = 0. Suppose -15*l + 18*l = -57. Let a = l + 24. Put g, -2, a in decreasing order.
a, -2, g
Suppose 593 = 15*i - 892. Sort -1, 3, i in ascending order.
-1, 3, i
Let g be 4/(-3) - 400/(-75). Put 36, g, 0, -1 in ascending order.
-1, 0, g, 36
Let f = 16.4 + -16. Let g = -3.91 - 0.09. Put -0.1, g, 0, f in ascending order.
g, -0.1, 0, f
Suppose 3*c = w + 5*c + 9, -w - c - 5 = 0. Sort 26, 5, 3, w in decreasing order.
26, 5, 3, w
Let t be (5 - 1) + (9 - 11). Let v be (-2)/(-4) + (-7)/t. Sort 3, v, 0.
v, 0, 3
Suppose 0 = -4*d + 5*d + 4. Suppose -16*b = -6*b + 30. Sort b, d, -2 in decreasing order.
-2, b, d
Let q = -545/11 - -49. Sort -2/9, 1/2, -1, q in decreasing order.
1/2, -2/9, q, -1
Let l = -245 + 242. Sort 5, 4, l in increasing order.
l, 4, 5
Let h = 0.4 - 0.4. Let w = 4.9 + -1.9. Let g = w - 2.5. Sort 0.6, h, g in decreasing order.
0.6, g, h
Let g = -174 - -172. Put g, 0.2, -2/19, -23 in ascending order.
-23, g, -2/19, 0.2
Suppose u + 13 = 22. Let z be 2/((-6)/u - 0). Let s be 2/(-5) - (-68)/20. Put s, -5, z in increasing order.
-5, z, s
Let p be (4/(-2))/(-1 - 1). Suppose -4 + 22 = 6*u. Put p, u, -4 in descending order.
u, p, -4
Suppose -5*u + 66 = 11. Put u, 3, 5 in increasing order.
3, 5, u
Suppose -299*r = -296*r + 75. Let x be -3 - (155/r - -3). Sort x, -2, 4, -1/3 in descending order.
4, x, -1/3, -2
Let z(g) = 22*g + 27. Let o be z(-1). Sort 3, -18, o.
-18, 3, o
Suppose 0 = -3*q + 23 - 8. Suppose q*r + 5 = -5*v, -r + 3 = -2*r. Suppose 3*d - s = -12, -2*d - v*s - 16 = 2*d. Put -1, d, 3 in increasing order.
d, -1, 3
Suppose 43*b + 60 = 28*b. Suppose 5*t - u + 4*u = 3, t + 5*u = 5. Let o be (-4 - 1)/(t + 1). Sort o, 4, b in increasing order.
o, b, 4
Let b = 2 + -1. Let w be (-80)/(-1365) + (-46)/299. Sort b, -1/4, w, -0.1 in increasing order.
-1/4, -0.1, w, b
Let b(k) = -7*k + 13. Let l(r) = -3*r + 6. Let a(n) = -2*b(n) + 5*l(n). Let u be a(4). Let h(i) = -i + 64. Let x be h(62). Sort u, 1, x.
u, 1, x
Let k = -199/8 - -25. Let v = -6647/6 - -1108. Put k, v, -1/2 in ascending order.
-1/2, k, v
Suppose -f = -0*f + 1. Let b(z) = -2*z**2 + 29*z + 223. Let t be b(20). Put f, t, 7, 2 in increasing order.
f, 2, t, 7
Let u = -5.1052 - -0.1052. Let x = -0.1 + 0.08. Let z = x - -2.02. Sort u, 0.4, z in descending order.
z, 0.4, u
Let m = -15.05 + 0.05. Let u = -15.3 - m. Sort -4, 4, u, 0 in ascending order.
-4, u, 0, 4
Let a be -2*(0 - 12/8). Let g(s) = -3*s - 17. Let b be g(-7). Sort a, -3, b in ascending order.
-3, a, b
Let b be (-14 - (-8)/1) + 5. Sort 1, b, -7, 5 in increasing order.
-7, b, 1, 5
Let n(f) = f**3 + 7*f**2 - 7*f + 6. Let q be n(-8). Let z = 5 + q. Sort -6/7, -0.2, z in descending order.
z, -0.2, -6/7
Let g(l) = 5*l. Let m be (-7)/((-28)/8) - -1. Suppose -k + 0*q + 19 = 5*q, -11 = -k - m*q. Let u be g(k). Put u, 5, -1 in descending order.
5, -1, u
Suppose -j - k + 91 = 2*j, 3*k = 4*j - 117. Suppose 6*q - 6 - j = 0. Put 5, -1, q in descending order.
q, 5, -1
Let p = -4.93 + 3. Let g = p - 0.07. Sort -0.2, 4/7, g in descending order.
4/7, -0.2, g
Suppose 2*r + 54 = -5*k, -3*r = -5*k - 80 + 11. Sort -0.5, 3, 0.2, k.
k, -0.5, 0.2, 3
Let u = 216.1 - 216. Sort u, -3, 0.04, -2/13 in descending order.
u, 0.04, -2/13, -3
Suppose -d = k - 19 + 12, 0 = -2*k + 10. Put -5, d, -15 in decreasing order.
d, -5, -15
Suppose 212*u - 20 = 216*u. Put u, -6, 23 in decreasing order.
23, u, -6
Suppose 2*f - 3*f = 0. Suppose 5*n + f = -10. Let p(s) = -2*s**2 - 4*s - 3. Let t be p(-2). Sort t, 5, n in descending order.
5, n, t
Let i(g) = 344*g - 2. Let z be i(-2). Let q be (-24)/z*5/(-2). Let o = 1/273 + 527/5187. Sort q, o, 2.
q, o, 2
Let r = -4 + 6. Let z = 502 - 502.4. Sort -0.1, r, z in decreasing order.
r, -0.1, z
Suppose 4*i + y - 7 = 0, 31 = 2*i - 8*y + 3*y. Suppose 234 = 21*h - 3*h. Put 5, h, i in decreasing order.
h, 5, i
Suppose 0 = 4*s - 12, z - s + 3*s - 32 = 0. Let i = z + -29. Sort -1, i, 2 in increasing order.
i, -1, 2
Suppose -3*r - 114 = -2*y, 0 = y + 3*y + 4*r - 248. Let b be 36/y*1/1. Sort 5, b, -3/8 in decreasing order.
5, b, -3/8
Let q be (1 - (-21)/(-6))*(-12)/(-10). Let y(o) = -o + 1. Let i be y(1). Let a(d) = d**2 - 3*d + 3. Let u be a(3). Put q, i, u in descending order.
u, i, q
Let q be (45/22 + -2)/(2/(-12)). Let j = q -
|
{
"pile_set_name": "DM Mathematics"
}
|
- z*h**3 - 9*h**3 wrt h.
-96*h**2
Find the second derivative of -565*a**4 - 2 + 4 - 174*a - 184*a - 617*a - 460*a**4 wrt a.
-12300*a**2
Suppose 5*h + 3*d = 61, -47 = -5*h - 0*d + 4*d. Differentiate -n**2 + 7 - 5 + h - 2 + 29*n**3 wrt n.
87*n**2 - 2*n
Let u(m) = 893*m**3 - 481*m**2. Let t(c) = -25*c**2. Let h(s) = -6*t(s) - u(s). What is the third derivative of h(q) wrt q?
-5358
Suppose 0 = -16*a + 15*a + 16. What is the third derivative of 30*j - a*j**3 - 80*j**2 + 78*j**2 - 95*j**3 - 108*j wrt j?
-666
What is the second derivative of 1232*u**4 - 135*u**4 - 1924*u + 4*u**2 - 9*u**4 - 4076*u - 3141*u wrt u?
13056*u**2 + 8
Let k(f) = 4*f**2 - 6*f - 16. Let y be k(-4). What is the second derivative of n**2 - 20*n**3 - 7*n**2 - y*n + 8*n**2 - n**2 wrt n?
-120*n + 2
Suppose 5*m - 4*l - 522 = 0, 2*m + 2*l = 47 + 169. What is the derivative of 18*i - 31*i - 33 + m - i**3 - 24*i wrt i?
-3*i**2 - 37
Let f(v) be the third derivative of 635*v**4/12 - 785*v**3/2 + 1679*v**2 - 3. Differentiate f(k) wrt k.
1270
Suppose -4*u = a - 8, 4*u - 4*a = -22 + 30. What is the second derivative of n + 4*n - 7*n + 6*n + 10 + u*n**2 - 4*n**2 wrt n?
-4
Let z(p) = 1850*p**3 - 9*p**2 - 4*p - 4959. Let g(l) = -3*l**3 + 3*l**2 + l. Let i(t) = -3*g(t) - z(t). What is the first derivative of i(f) wrt f?
-5523*f**2 + 1
Find the third derivative of -6615*y**3 - 222 + 66 - 11*y**2 + 321 wrt y.
-39690
Let i be (-9)/(-2) - (-3)/(-6). Find the second derivative of -60*q**i - 2*q + 205*q**4 - 4 - q wrt q.
1740*q**2
Suppose -5*m + 40 = y + 3*y, -2*m - 5*y = 1. Suppose 0 = -m*z + 58 + 2. What is the third derivative of 32*p**5 - 6*p**z + 7*p**2 + 8*p**2 + 6*p**2 wrt p?
1560*p**2
Suppose -8*u + 4*u + 4 = 4*w, -3*u + 11 = 5*w. What is the third derivative of -91 + h**2 + 1143*h**4 - 1143*h**w - 43*h**5 wrt h?
-2580*h**2
Let n be (-12*(-1)/40)/(3 - 116/40). Let p(a) be the first derivative of 0*a**2 - 2*a**n + 0*a - 3/4*a**4 + 26. What is the third derivative of p(b) wrt b?
-18
Let n = -86 + 97. Let a(p) = 141*p**2 - 106*p + 5. Let u(j) = 282*j**2 - 213*j + 9. Let w(z) = n*a(z) - 6*u(z). Find the second derivative of w(i) wrt i.
-282
Let f(l) be the first derivative of 7*l**6/6 + 197*l**4/2 + 1231*l**3/3 - l**2/2 + 4655. What is the third derivative of f(r) wrt r?
420*r**2 + 2364
Let c = 1056 - 980. What is the third derivative of 159*u**4 - 67*u**4 - 430*u**4 + c*u**2 + 37*u**2 wrt u?
-8112*u
Let m(w) be the third derivative of 0*w**4 + 0*w - 26*w**2 - 7/5*w**5 + 0 + 0*w**3 - 3/8*w**6. Find the third derivative of m(h) wrt h.
-270
Suppose -30 = -3*k + 39. Let p(i) = -3*i + 8*i + k*i**2 - 2*i - 10. Let l(q) = -q. Let a(r) = 3*l(r) + p(r). Differentiate a(t) wrt t.
46*t
Let o(c) be the first derivative of 423*c**4 - 2*c**3/3 - 580*c - 5487. Differentiate o(a) with respect to a.
5076*a**2 - 4*a
Let s(r) be the first derivative of 60 + 14*r - 53/3*r**3 + 0*r**2. What is the derivative of s(z) wrt z?
-106*z
Let n be (-14)/(-4) + 4/8. Suppose -3*t = 4*i - 11, -n*t - i = -0*i - 19. Find the second derivative of 5*u**3 - t*u**3 - 2*u + 12*u**3 - 2*u wrt u.
72*u
Let s(i) = -16*i**2 + 39*i - 2027. Let x(q) = 14*q**2 - 28*q + 2025. Let b(v) = -2*s(v) - 3*x(v). What is the derivative of b(t) wrt t?
-20*t + 6
Let a(y) be the second derivative of y - 53*y**2 + 0*y**3 + 13/12*y**4 + 56. Differentiate a(w) with respect to w.
26*w
Let d(i) be the first derivative of 1039*i**2/2 + 274*i - 2. Find the first derivative of d(j) wrt j.
1039
Let g(x) be the third derivative of x**9/252 - 11*x**8/6 + 1667*x**5/60 + x**2 - 519. What is the third derivative of g(s) wrt s?
240*s**3 - 36960*s**2
Suppose 45*x = 4*x + 4879. What is the second derivative of -3*u + 13*u**4 + 109*u**4 + 48 + x*u**4 wrt u?
2892*u**2
Suppose -16*g + 21*g - 5 = 0. Suppose -3*c + 8 = -g. What is the third derivative of 438*h**2 + c*h**5 - 482*h**2 - 3*h**5 + 50*h**6 wrt h?
6000*h**3
Let w(d) = -5*d - 175. Let k be w(-36). What is the third derivative of 0*l**k + 98*l**2 + l**5 - 36*l**4 + 64*l**4 + 66*l**2 wrt l?
60*l**2 + 672*l
Differentiate -486*k + 6546 + 1016 - 6096*k wrt k.
-6582
Let x(a) be the third derivative of -29*a**8/14 + 53*a**5/60 - a**4/3 - a**2 + 219*a. What is the third derivative of x(c) wrt c?
-41760*c**2
Let c(o) be the second derivative of -3*o**8/56 + o**7/42 + 7*o**5/20 - 433*o**4/12 + o**2/2 + 5122*o. Find the third derivative of c(r) wrt r.
-360*r**3 + 60*r**2 + 42
Let z(q) = q**2 - 33*q - 8. Let b be z(37). Find the third derivative of -68*u**4 - 95*u - 27*u - b*u**4 + 3*u**2 - 4*u**2 wrt u.
-4992*u
Let j(w) be the first derivative of 0*w**4 + 202/3*w**3 + 0*w**5 - 90/7*w**7 + 0*w**2 + 0*w**6 + 0*w + 23. Find the third derivative of j(f) wrt f.
-10800*f**3
Let c be 1/(-7) - -1751*(-2)/(-14). Find the third derivative of -3*w + 114*w**5 + 4*w + 99*w**5 - w**2 - c*w**5 wrt w.
-2220*w**2
Let i = -519 - -844. Differentiate -42*a + 662 - i - 328 with respect to a.
-42
Suppose -50 = 2*a - 48. Let b(j) = 7*j + 23. Let t(u) = 2*u - 1. Let q(x) = a*b(x) + 2*t(x). Differentiate q(l) wrt l.
-3
Let z(k) be the second derivative of -63*k**5/5 + k**3/2 - 1459*k**2/2 + 100*k + 3. Find the first derivative of z(o) wrt o.
-756*o**2 + 3
Suppose -48 = -36*a + 12*a. What is the third derivative of 9*r**a + 7*r**4 - 27*r**4 + 18*r**2 + 5*r**4 wrt r?
-360*r
Let z(o) be the third derivative of 0 - 28/3*o**3 + 9*o + 23/60*o**5 + 3*o**2 - 1/24*o**4. Differentiate z(c) with respect to c.
46*c - 1
Let k(n) be the first derivative of -3*n**7/7 - 11*n**6/2 + n**4 - 10*n**3/3 + 3*n**2/2 - 9*n - 1981. Find the third derivative of k(v) wrt v.
-360*v**3 - 1980*v**2 + 24
Find the second derivative of 249*z + 3866730*z**3 - 2435*z**4 - 3866730*z**3 + 4 wrt z.
-29220*z**2
Let r(p) = -p**3 + 4*p**2 + 7*p - 8. Let y be r(5). Find the second derivative of -y*o - 7*o - 108*o - 19*o + 139*o**3 wrt o.
834*o
Let k(x) be the second derivative of 76*x**5/5 - x**4/6 - 787*x**3/6 + 4051*x. What is the second derivative of k(i) wrt i?
1824*i - 4
Let l(c) be the first derivative of -26*c - 38/5*c**5 + 0*c**3 + 65 + 0*c**4 + 0*c**2. Find the first derivative of l(r) wrt r.
-152*r**3
Suppose -2*t = -4*k - 26, -5*t + 2*k = 3*k - 21. Find the second derivative of 48*i - 147*i**5 + 0 + 18*i**t + 10*i**5 - 28*i**5 + 1 wrt i.
-2940*i**3
Let d(j) be the second derivative of 2963*j**4/12 + j**3/3 + 1019*j**2/2 - j + 656. What is the second derivative of d(f) wrt f?
5926
Let v(z) = -6*z - 27. Let o be v(-5). Let q = 47 - 43. What is the first derivative of -25 - 2*x**o + q*x**3 - x**3 + 5*x**3 wrt x?
18*x**2
Suppose 52*t - 46*t + 18 = 0. Let c(x) = -2*x**2 + 2*x + 88. Let f(d) = -2*d**2 + d + 89. Let a(s) = t*c(s) + 4*f(s). Differentiate a(i) wrt i.
-4*i - 2
Let s(z) be the first derivative of -25*z + 0*z**2 - 220/3*z**3 - 118. Differentiate s(b) with respect to b.
-440*b
Find the third derivative of 12*f**4 + 10685*f**3 - 259*f**2 - 10779*f**3 - 109*f**2 wrt f.
288*f - 564
Let h(b) be the second derivative of -17*b**6/15 - b**4/6 + 103*b**3/3 + 650*b + 1. What is the third derivative of h(k) wrt k?
-816*k
Let z(a) = 12*a**2 + 5*a - 13. Let k(x) = x - 2. Let f(g) = 4*k(g) + 2*z(g). Let n(m) be the first derivative of f(m). Differentiate n(p) with respect to p.
48
Let p(h) = 1094*h**3 + 62*h**2 + 6*h - 24. Let x(m) = -m**3 + m**2 + m - 4. Let d(r) = p(r) - 6*x(r). What is the third derivative of d(f) wrt f?
6600
Let k(j) = -2*j**2 + 3*j + 10. Let b be k(3). Let s be (-117)/(-36) - b/4. Find the third derivative of s*n**3 - 13*n**3 + n**2 + 29*n**2 + n**3 wrt n.
-54
Let l(s) = -8*s**2 - 4*s + 199. Let a be l(0). Find the third derivative of -a*x**6 - 17*x**2 - 3*x - x**2 + 9*x**2 wrt x.
-23880*x**3
Let k(j) be the first derivative of 699*j**4/2 + 120*j**3 + 857. Find the third derivative of k(p) wrt p.
8388
Let f(g) be the first derivative of 13*g**5/60 - 13*g**4/4 + 19*g**3 + 28. Let z(q) be the third derivative of f(q). Differentiate z(k) wrt k.
26
What is the second derivative of -22*v + 37 - 1 - 425*v**5 - 25 - 2381*v**5 + 514*v**5 wrt v?
-45840*v**3
Let f(c) = c + 45. Let q be f(9). Find the third derivative of 36*k**3 - 13*k**3 + 4*k**2 - 1 - q*k**4 - 23*k**3 wrt k.
-1296*k
What is the second derivative of 8*d**2 - 3*d**5 + 218796*d + 7*d**2 - 221484*d wrt d?
-60*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let f = x - a. What is the highest common divisor of f and 21?
21
Suppose -3*s - 5*y + 2941 = 0, -4*s - y = -s - 2921. Calculate the greatest common divisor of s and 12.
12
Suppose -1240 = 5*k - 2*h, 2*k - 2*h = -5*h - 477. Let b be 4/14 - k/21. What is the highest common factor of b and 84?
12
Let z be 5/15*-1*0. Let a(w) = -w**2 - 7*w + 125. Let y be a(z). What is the greatest common factor of 25 and y?
25
Let w = 100 + -89. Let s(q) = -q**2 + q + 11. Let m be s(0). Calculate the highest common factor of w and m.
11
Let j = -51 + 326. What is the greatest common divisor of j and 77?
11
Suppose -48 = -6*p + 3*p. Let z = p - 12. What is the greatest common divisor of 28 and z?
4
Let h be (0 - -5) + 0 + -1. Let d be (77/28)/((-2)/(-16)*21/42). What is the highest common divisor of d and h?
4
Suppose -3190 = -14*u + 4*u. Let g = 100 - 71. What is the highest common divisor of g and u?
29
Let w(z) = 6*z**2 + 36*z - 26. Let q be w(-8). Calculate the greatest common factor of q and 10.
10
Let c(j) = -2*j**3 + 5*j**2 + 12*j - 1. Let n be c(-6). Calculate the greatest common factor of 49 and n.
49
Let g(f) = 3*f**2 - 11*f + 17. Let a be g(6). Let k = 121 + a. Suppose -2*l + 4*i = -44, i - 3*i + 58 = 3*l. Calculate the highest common factor of l and k.
20
Suppose 21*t - 2791 = -901. Calculate the highest common factor of t and 36.
18
Let a(x) = x**2 + 5*x + 7. Let i be (2 - -2) + (0 - -2). Let n be 15/i*(-6 - -4). Let u be a(n). Calculate the highest common factor of u and 49.
7
Let p = -39 + 109. Calculate the greatest common divisor of p and 21.
7
Let l(h) = 43*h - 2. Let k be l(-5). Let z = k + 378. Calculate the greatest common divisor of 23 and z.
23
Let v(l) = 171*l**2 - 11*l - 33. Let k be v(-3). What is the greatest common factor of k and 81?
81
Suppose 1 + 111 = 7*b. What is the highest common factor of 80 and b?
16
Let a = -614 + 915. What is the highest common divisor of a and 7?
7
Suppose -46*m + 44*m + b = -558, 0 = 2*m - 4*b - 558. Calculate the greatest common divisor of 744 and m.
93
Let l(w) = 2*w**2 - 6*w - 17. Let f be l(5). What is the highest common divisor of 4 and f?
1
Let x(a) = 3*a + 150. Let m be x(-26). What is the greatest common divisor of m and 99?
9
Let y be (-620)/(-10) + (-4)/8*8. What is the highest common divisor of y and 4?
2
Let u = -438 - -444. Calculate the highest common factor of u and 114.
6
Let r(z) = z + 2. Let i be r(1). Let l(k) = 2*k + i - 10*k - k. Let w be l(-2). Calculate the greatest common factor of 3 and w.
3
Suppose -4*o + 239 = 2*f - 231, -4*o + 932 = 4*f. Suppose -6 + f = 5*y. Suppose -1062 = 53*l - 112*l. Calculate the greatest common divisor of y and l.
9
Let l(q) = -2*q - 5. Let t be l(-7). Suppose -25 = -t*p + 29. Calculate the greatest common factor of 24 and p.
6
Let b(g) = g**2 - 4*g - 2. Let x be b(-4). Let a be -4 + 49 + (-4 - -1). Let s = a - 27. Calculate the highest common divisor of s and x.
15
Suppose -138 = -27*h + 240. Calculate the highest common divisor of h and 301.
7
Suppose 3*w + 3*m - 99 = 0, 255 = 5*w + 4*m + 90. Let o = -19 + 31. Let y be (-33)/(-1)*8/o. What is the highest common factor of y and w?
11
Let n(k) = -359*k + 3. Let y be n(-1). Suppose -2*t + 6 = -0*t, 0 = 5*l + 4*t - y. What is the highest common divisor of 28 and l?
14
Let x be 193 + (-4)/((-28)/(-7)). Calculate the highest common factor of x and 24.
24
Let s(r) = -r**2 - 8*r + 12. Let q be s(-9). Suppose -q*d + 63 = -0*d. Let i = -13 + d. What is the greatest common divisor of 12 and i?
4
Let u(c) = -c**3 - 3*c**2 + 7*c - 40. Let h be u(-6). Calculate the highest common divisor of 2 and h.
2
Suppose -102*a = -105*a + 1470. What is the greatest common divisor of 28 and a?
14
Suppose -3*j - j + l = -518, 254 = 2*j - 3*l. Let c be 260/8*8/10. Calculate the greatest common divisor of c and j.
26
Suppose -3 = -4*o + 1. Suppose -2 = -z - o. Calculate the highest common divisor of z and 8.
1
Let n = -67 + 115. Let u = n - 30. What is the highest common factor of 6 and u?
6
Let f be (85/100*5)/(8/288). What is the greatest common divisor of f and 63?
9
Suppose -346*s = -340*s - 312. Calculate the highest common divisor of 28 and s.
4
Suppose 584*a - 608*a = -504. Calculate the greatest common factor of a and 336.
21
Let k(u) = 7*u**2 - 122*u - 48. Let b be k(18). Let g(f) = -48*f. Let a be g(-2). Calculate the greatest common divisor of b and a.
24
Let f = 39 + -35. Let u(t) = -t**3 + 6*t**2 - 6*t + 13. Let p be u(f). What is the highest common divisor of 105 and p?
21
Let p(w) = 78*w**2 + 30 + w - 15 + 13 - 79*w**2. Let b be p(-4). What is the highest common divisor of 44 and b?
4
Let k be (-2 - 35) + 1*(0 + -2). Let p be 104/k*(-33)/4. What is the highest common factor of 22 and p?
22
Let h be 2/1*((-2)/4)/1. Let w be (3 - 4/h) + 1. Calculate the greatest common divisor of w and 40.
8
Let k = 805 - 770. What is the highest common divisor of k and 7?
7
Suppose 0 = -4*m + 3*m + 2. Suppose 0 = m*w - 53 + 37. What is the greatest common factor of w and 4?
4
Let v be ((-66)/(-5))/(((-3)/(-10))/(-1)). Let c = v - -49. What is the highest common factor of 5 and c?
5
Suppose 0 = 11*f - 8*f - 66. Suppose f + 6 = 4*c. Suppose 0 = 12*g - c*g - 350. What is the greatest common factor of 10 and g?
10
Let h(a) = a**3 - 8*a**2 - 9*a + 3. Let b be h(9). Suppose -o - b*c = -22, -3*c + 0 = -3*o + 6. Calculate the greatest common divisor of o and 7.
7
Suppose -9*q + 11*q = 2. Suppose -2*o + 29 = -q. What is the greatest common divisor of o and 45?
15
Suppose 3*x + 153 = 6*x. Suppose -x*n + 35 = -46*n. What is the highest common divisor of n and 7?
7
Let q = -32 - 49. Let z = -79 - q. What is the greatest common factor of 1 and z?
1
Suppose 17*v - 43*v = -676. Let g(l) be the first derivative of 2*l**3/3 - l**2 + 5*l + 1. Let a be g(-5). Calculate the highest common divisor of a and v.
13
Suppose -3*i + 8*i = z + 26, 0 = -4*i - 2*z + 32. Let u be (-2 - i/(-9))*3. Let o be ((-10)/u)/(4/96). Calculate the highest common divisor of 40 and o.
20
Let f be 7 + 1088/8 - 11. Calculate the greatest common factor of f and 88.
44
Let o(a) = a**2 + 63*a + 108. Let b be o(0). Let i be (2 - 1)*(23 - -1). Suppose 0 = 5*z - 36 - i. What is the highest common divisor of z and b?
12
Let n(p) = p**2 + p + 3. Let k be n(-2). Let h be k - (2 - 1) - -2. Calculate the highest common factor of 4 and h.
2
Let b(a) = a**2 + 7*a - 6. Let q be b(-7). Let m be (-1 + (-3)/q)*48. Let r be ((-6)/(-8))/((-1)/m). Calculate the highest common divisor of 18 and r.
18
Suppose 5*a + 4 = 3*b, -4*b = -0 - 12. Let w = a - -14. Suppose 1440 = -2*z + 1590. What is the highest common factor of z and w?
15
Let y be 1 + 2*(-62)/(-4). Let s = -1049 + 1065. What is the highest common factor of y and s?
16
Let r be (104/(-24))/(3/(-9)). Let m = r + -12. Let k = 7 - 2. Calculate the greatest common divisor of k and m.
1
Suppose -5*v = w - 80 - 175, -102 = -2*v - 4*w. Suppose 5*a + 16 - v = 0. Let j = 193 + -137. Calculate the highest common factor of a and j.
7
Let l(c) = -3*c**3 + 4*c**2 - 2*c + 6. Let v be l(3). Let t be (-56)/(-3) + (-15)/v. Calculate the greatest common divisor of t and 171.
19
Let c be ((-10)/(-8))/(3/12). Suppose c*p = p + 32. Suppose 1 = -g + 2. What is the greatest common divisor of g and p?
1
Let n(q) = -100*q**3 + 3*q - 15*q - 12*q**2 + 99*q**3 + 24. Let k be n(-12). Calculate the greatest common factor of 21 and k.
21
Let y be (-50)/(-40) - 163/(-4). Calculate the greatest common factor of 4242 and y.
42
Let l = 2 + -2. Suppose -g + 63 = 3*p, g + 5*p - p = 61. Suppose l*t = -5*t - q + 303, -g = -t - 3*q. What is the highest common factor of t and 10?
10
Let a(y) = 1 + 11*y + 4 + 0*y - 7*y. Let i be a(5). Calculate the greatest common factor of i and 100.
25
Let u be 3*(-2)/(-12)*20. Suppose 7*a - 87 + 10 = 0. Let w = a - u. What is the greatest common divisor of w and 5?
1
Let j(a) = 3*a - 9. Let f(l) = 3*l - 9. Let s(d) = 3*f(d) - 2*j(d). Let n be s(7). Suppose 0 = 7*r - 49 + 7. What is the highest common factor of n and r?
6
Let w(h) = 30*h + 2. Let z be w(1). Calculate the greatest common divisor of z and 256.
32
Let d(c) = 8*c + c + 2 - 14*c**2 + 5*c - c**3 + 0*c**3. Let a be d(-15). Calculate the greatest common factor of a and 17.
17
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0. Calculate h.
-1
Suppose 0 = 4*p - 9 + 1. Factor -3*i**2 + 2*i**p - i**2.
-2*i**2
Let t(j) be the second derivative of -j**4/3 + 8*j**3/3 - 8*j**2 + 8*j. Find u, given that t(u) = 0.
2
Suppose -4*a + 1 + 7 = 0. Solve -a*r**4 + r**5 + 5*r**4 - 3*r**4 - r**4 = 0 for r.
0, 1
Let m(t) be the first derivative of 1/8*t**4 + 0*t**3 - 1/4*t**2 + 0*t - 3. Let m(k) = 0. What is k?
-1, 0, 1
Factor 0 + 0*c - 3/4*c**3 - 3/4*c**2.
-3*c**2*(c + 1)/4
Suppose y - o = 7, 3*y + 3*o - 4*o - 11 = 0. Let v be (-2)/8 + 17/4. Determine i, given that 30*i - 125/2*i**5 + 75*i**v - 71*i**y - 4 + 65/2*i**3 = 0.
-1, 2/5, 1
Let h(i) be the first derivative of -i**5/5 - 5*i**4/4 - 2*i**3 + 38. Suppose h(f) = 0. What is f?
-3, -2, 0
Let i(j) be the third derivative of 2*j**2 + 0 + 0*j - 11/84*j**4 - 2/21*j**3 - 1/14*j**5. Factor i(f).
-2*(3*f + 1)*(5*f + 2)/7
Suppose 0 = 2*d + 1 - 9. Let g = d + -1. Suppose 5*u + 8*u - 7*u**3 - 5*u + u**g + 2*u**4 = 0. Calculate u.
-1, 0, 2
Let g = 0 - -4. Let u = g - -1. Determine y so that y**2 + y**u - 2*y**4 + y**3 - y**2 = 0.
0, 1
Factor 0*b + 0 + 3/7*b**2 - 1/7*b**3.
-b**2*(b - 3)/7
Let d(y) be the third derivative of y**5/15 - 5*y**4/3 + 50*y**3/3 + 6*y**2. Factor d(v).
4*(v - 5)**2
Let l(p) be the first derivative of p**6/27 - 2*p**5/9 + 7*p**4/18 + 2*p**3/27 - 8*p**2/9 + 8*p/9 - 13. What is r in l(r) = 0?
-1, 1, 2
Find g, given that 4/5 + 2/5*g**2 + 6/5*g = 0.
-2, -1
Let z(l) = -l + 7. Suppose 0 = -0*i + 3*i - 15. Let s be z(i). Factor -b + 5*b - s*b + b**2.
b*(b + 2)
Let r(u) = u**3 - 6*u**2 - 6*u + 7. Let c be r(7). Let b be 15/35 - (-22)/c. Factor 2/5*n**b + 4/5*n + 2/5.
2*(n + 1)**2/5
Let v(k) be the third derivative of -1/504*k**8 + 2/45*k**5 + 0*k**3 - 1/36*k**4 + 0*k + 0 + 4/315*k**7 - 1/30*k**6 + k**2. Solve v(m) = 0.
0, 1
Let n(l) = 2*l**2 - 4*l - 4. Let h be n(-1). Let d be 0*(-1 - 2/(-4)). Determine b so that 0 + 1/3*b**h + d*b = 0.
0
Let b = 2/177 + 116/177. Find j, given that -8/3*j**3 - 4*j**2 - 2/3*j**4 - b - 8/3*j = 0.
-1
Let c be 8*(0 - (-1)/4). Suppose -3*r = 4*s - 12, 5*s = -3*r + c*r + 4. Factor -2/11*n**r - 2/11*n**2 + 0*n + 0 + 4/11*n**3.
-2*n**2*(n - 1)**2/11
Let b be (0 + 0 - (3 + -2))*-6. Let m(l) be the third derivative of 0*l - 1/12*l**3 - 2*l**2 + 0 - 1/120*l**b + 1/120*l**5 + 1/24*l**4. Let m(p) = 0. What is p?
-1, 1/2, 1
Let 116*b**2 - 238 + 108*b**4 - 24*b - 180*b**3 + 238 - 20*b**5 = 0. Calculate b.
0, 2/5, 1, 3
Let l(q) = -12*q**3 - 24*q**2 + 12*q - 2. Let t(z) = 13*z**3 + 23*z**2 - 12*z + 3. Let m(g) = -3*l(g) - 2*t(g). Factor m(j).
2*j*(j + 3)*(5*j - 2)
Let s = -11 - -9. Let b be (s/(-2) - 1)/2. Factor -1/4*p**2 - 1/4*p + b.
-p*(p + 1)/4
Let g(f) be the third derivative of -f**5/30 + f**3/3 + 5*f**2. Solve g(v) = 0 for v.
-1, 1
Let k(w) = -3*w**2 + w + 7. Let s = 38 + -15. Suppose -8 = -3*p - s. Let d(o) = 4*o**2 - o - 10. Let t(n) = p*d(n) - 7*k(n). What is u in t(u) = 0?
1
Let h be (-2)/1*3*26/(-429). Find y such that -h*y + 0 + 6/11*y**2 - 2/11*y**3 = 0.
0, 1, 2
Let m be 39/63 + 2/(-7). Factor -m*k + 2/3*k**2 - 1/3*k**3 + 0.
-k*(k - 1)**2/3
Let i(o) = -o**2 + o - 2. Let r(c) = c - 4*c - 8*c**2 + 5 + 9*c**2. Let h = -13 + 19. Let j(l) = h*r(l) + 15*i(l). Determine x so that j(x) = 0.
-1/3, 0
Let v be 100/(-15)*(-12)/10. Determine t so that -4*t**2 + t**4 + v*t**2 - 3*t**2 - 2*t**3 = 0.
0, 1
Let k = -14 - -18. Factor 0 - 1/3*w**k + 1/3*w**2 - 1/3*w + 1/3*w**3.
-w*(w - 1)**2*(w + 1)/3
Let r be (3*30/18)/1. Suppose 6/7*g**3 + 10/7*g**4 + 2/7*g - 8/7*g**r - 10/7*g**2 + 0 = 0. What is g?
-1, 0, 1/4, 1
Solve 2/5*d**2 + 0*d - 2/5 = 0.
-1, 1
Let i(v) be the first derivative of v**6/480 + v**5/80 + v**4/32 + v**3/24 + 3*v**2 - 6. Let j(q) be the second derivative of i(q). Let j(l) = 0. Calculate l.
-1
Let l(v) = v**4 + v**3 + v**2 - v. Let a(y) = -3*y**4 - 9*y**3 + 4*y**2. Let c(q) = a(q) + 4*l(q). Find t, given that c(t) = 0.
0, 1, 2
Suppose 4*g + 25 = 41. Let 56/13*n**2 + 54/13*n**g - 102/13*n**3 - 8/13*n + 0 = 0. Calculate n.
0, 2/9, 2/3, 1
Let p(q) be the third derivative of -1/60*q**6 + 0*q - 1/210*q**7 - 1/60*q**5 + 0*q**4 + 0*q**3 + 3*q**2 + 0. Suppose p(w) = 0. What is w?
-1, 0
Let b(r) be the third derivative of -r**8/20160 + r**5/30 + 2*r**2. Let h(z) be the third derivative of b(z). Let h(c) = 0. Calculate c.
0
Let x(c) be the first derivative of -3*c**4/8 - c**3/2 + 3*c**2/4 + 3*c/2 + 6. Factor x(g).
-3*(g - 1)*(g + 1)**2/2
Let s(p) be the first derivative of p**6/6 - 9*p**5/5 + 27*p**4/4 - 9*p**3 - 13. Factor s(w).
w**2*(w - 3)**3
Factor 2*d**2 + 4*d**3 + 321 - 321 - 2*d**4 - 4*d.
-2*d*(d - 2)*(d - 1)*(d + 1)
Let q(s) be the first derivative of -176/5*s**5 + 89/2*s**4 - 112/3*s**6 + 172/3*s**3 + 4*s + 23*s**2 + 2. Let q(a) = 0. What is a?
-1, -2/7, -1/4, 1
Let q be 10/45*(-72)/(-4). Let k(o) be the second derivative of -1/70*o**5 + 0 + 1/7*o**2 - 1/7*o**3 - o + 1/14*o**q. Factor k(t).
-2*(t - 1)**3/7
Let k = -16 + 16. Let d(g) be the third derivative of -2*g**2 + 1/24*g**4 + 1/20*g**5 - 1/120*g**6 + 0 - 1/3*g**3 + k*g - 1/210*g**7. Find i such that d(i) = 0.
-2, -1, 1
Let o = -112 - -227/2. Let p(t) be the first derivative of -t**3 + 1 - 1/4*t**4 - o*t**2 - t. Let p(r) = 0. Calculate r.
-1
Let j(g) = 11*g**2 - 17*g - 1. Let u = 32 + -36. Let t(n) = -5*n**2 + 8*n. Suppose s + 2 = 0, -3*s = -4*p - 41 + 11. Let z(d) = p*t(d) + u*j(d). Factor z(w).
(w - 2)**2
Let c(y) be the second derivative of -1/12*y**3 + 0 - 1/48*y**4 - 1/8*y**2 - 3*y. Determine z, given that c(z) = 0.
-1
Let k(l) be the first derivative of -l**5/60 + l**4/24 + l**3/3 + l**2 + 3. Let b(i) be the second derivative of k(i). Factor b(z).
-(z - 2)*(z + 1)
Suppose u + 4 = 8. Solve 3*c**u - c - 4*c**4 + 0*c - c + 3*c**2 = 0.
-2, 0, 1
Suppose -2*p + 8 = 5*b, -4*b - p - 3*p = -4. Factor 7*w**2 + 24*w - 3*w**2 - 3*w**b + 11*w**2 + 16 + 2*w**3.
2*(w + 2)**3
Determine k, given that 13*k**3 - 9/4 + 21/2*k + 1/2*k**5 - 35/2*k**2 - 17/4*k**4 = 0.
1/2, 1, 3
Let i(v) be the third derivative of v**9/1512 + 3*v**8/1960 + v**7/1470 + 2*v**3/3 - 3*v**2. Let w(x) be the first derivative of i(x). Factor w(u).
2*u**3*(u + 1)*(7*u + 2)/7
Let k(y) be the third derivative of -13/180*y**5 + 1/60*y**6 + 0 - 2/9*y**3 + 1/6*y**4 - 1/630*y**7 - 5*y**2 + 0*y. Solve k(i) = 0.
1, 2
Suppose 0*x = x - 2*r - 7, -2*x = -2*r - 10. Let f be (9/12)/(6/4). Factor 0*c - f*c**x + 1/4*c**2 + 1/4*c**4 + 0.
c**2*(c - 1)**2/4
Suppose -8*y - 17*y + 75 = 0. Let -8/3*u**2 + 0 + 2/3*u + 2/3*u**5 - 8/3*u**4 + 4*u**y = 0. Calculate u.
0, 1
Let g = -16 + 22. Let n(o) be the third derivative of 0 + 4/105*o**7 - 1/30*o**g - 1/8*o**5 + 0*o - 1/12*o**3 + 1/6*o**4 - o**2. Factor n(i).
(i - 1)*(i + 1)*(4*i - 1)**2/2
Let n(m) be the first derivative of -m**4 + 4*m**3/3 + 4*m**2 + 6. Solve n(y) = 0.
-1, 0, 2
Suppose b = 6*b - 1105. Let j = 673/3 - b. Let -1/3 - 10/3*x**2 - j*x**3 - 5/3*x - 5/3*x**4 - 1/3*x**5 = 0. Calculate x.
-1
Factor -i**4 + 131*i**2 - 41*i**2 - 10*i**3 - 16 - 44*i**2 - 40*i - 79*i**2.
-(i + 1)**2*(i + 4)**2
Solve 10*t**4 + 3*t**3 + 8*t**5 + t**3 - 14*t**5 = 0.
-1/3, 0, 2
Factor -80/3*k**2 + 65/3*k**3 + 20/3*k - 5*k**4 + 0.
-5*k*(k - 2)**2*(3*k - 1)/3
Suppose 8 = r - 0. Suppose -r = -5*p + p. Suppose 3/4*i - 1/2 - 1/4*i**p = 0. What is i?
1, 2
Let o(m) be the second derivative of 5*m**4/48 - 5*m**2/8 - 8*m. Factor o(f).
5*(f - 1)*(f + 1)/4
Let d(v) = -v**2 - 9*v + 6. Let j be d(-9). Let k(a) be the third derivative of -a**2 + 0 + 0*a - 1/20*a**5 - 1/90*a**j - 1/36*a**4 + 0*a**3. Solve k(n) = 0.
-2, -1/4, 0
Let w be (5/(-30))/(2/(-16)). Factor -2/3*b + w - 2/3*b**2.
-2*(b - 1)*(b + 2)/3
Let d(r) be the first derivative of -4*r**5 + 13*r**4 - 16*r**3/3 - 8*r**2 + 5. Factor d(k).
-4*k*(k - 2)*(k - 1)*(5*k + 2)
Factor -36*b**2 - 8*b + 8*b + 4*b**5 - 28*b**4 + 60*b**3.
4*b**2*(b - 3)**2*(b - 1)
Let w(b) be the third derivative of b**5/80 - 13*b**2. Factor w(g).
3*g**2/4
Let a = -25 - -27. Factor 18*t**2 + 3 + 18*t + 3*t + a - 2.
3*(t + 1)*(6*t + 1)
Factor 13*l**4 - 92*l**2 - 16*l**3 - 11*l - 2 + 20*l**3 + 3*l**4 + 78*l**2 + 7*l**5.
(l - 1)*(l + 1)**3*(7*l + 2)
Let d be (1 - (5 + -4))/(-2). Let 0 + 2/3*m**4 + 0*m**3 + 0*m**2 + d*m = 0. What is m?
0
Let t(i) be the first derivative of i**4 - 2*i**2 + 2/5*i**5 + 0*i + 3 - 2/3*i**3. Solve t(a) = 0 for a.
-2, -1, 0, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
2*c - 13 = 0 for k.
5
Let f be 3/(-3*(-2)/18). Let d be f/(-15)*(-5 - 0). Suppose 5*p + 0 = d*r - 8, 0 = 2*r - 4*p - 6. Solve 0 = g, 5*h - 2*g - r = 9 for h.
2
Let r(a) = a + 4. Let i be r(0). Solve -5*q + 4*t - 8 = 0, -i*t = t - 10 for q.
0
Suppose 0 = 4*q + 4*p, -3*q + 0*q = p - 6. Solve 3*c - q*o = -2 - 16, 2*o = c + 8 for c.
-4
Let z = -30 - -37. Solve 2*s + 1 + z = d, -3*s - 3*d = 21 for s.
-5
Let y(c) = 2*c**3 - 3*c**2 + 4*c - 2. Let r(u) = u**3 + u**2. Let b(x) = -r(x) + y(x). Let m be b(3). Solve -d = v - 1, -5 + m = -4*d for v.
0
Let u(y) = y - 3. Let f be u(6). Let k = 6 - f. Let g be k/9*(12 + -3). Solve g*h - 4 = -c - 0*h, 5*c = 3*h + 20 for c.
4
Let u(c) = 2 - 5*c - 2*c + 4*c**2 + 5*c. Let s be u(1). Solve 5*l - 5*m = 25, 5*m = 3*l - s - 11 for l.
5
Let p = 29 - 20. Let u(b) = b**2 - 8*b - 4. Let l be u(p). Solve 0 = 2*i - l*y + 4, 8 = 2*i + 5*y - 8 for i.
3
Let s(r) = r + 13. Let u be s(-10). Suppose f + 2*h = 8 - 2, -u = -f - h. Solve -2*m = 4*g - 0*g + 10, f = -g - 4 for m.
3
Let p be (-30)/12*(-32)/20. Solve -3*r - 3 = r + k, -p*k + 22 = -r for r.
-2
Let a(s) = s**2 - 7*s + 1. Let o be a(8). Suppose 4*v - 7*v = -o. Solve m + t + 9 = 0, -4*m + 3*t = 4 - v for m.
-4
Suppose 3*k + 0*k - 6 = 0. Solve 0 = 5*f - k*c - 15, f + c = 2*f for f.
5
Suppose 0 = -3*u - 3*o + 8 + 19, 3*o - 12 = 0. Solve 11 = -5*r - u*z - 4, -14 = 4*r + 3*z for r.
-5
Suppose 3 = 4*i + 4*j - 1, -4*j = -2*i + 8. Suppose 0 = -a + i*a - 2. Solve a = 2*z - o - 1, 2*o + 5 = 5*z for z.
-1
Let f be -2*3/(-2 - 1). Solve 4 = 2*r + f*q, q + 16 = -r + 6*q for r.
-1
Let p be -21 - (-4 + 4)/(-2). Let w = p - -25. Solve -w*d - 5*c + 23 = -7*d, 2*d + 5*c = 18 for d.
-1
Suppose 0 = 7*v - 4 - 17. Solve -21 = 3*i + v*c, 2*i - 6*c + 4*c + 2 = 0 for i.
-4
Let b = -11 - -7. Let d be (2 + b)*(-10)/4. Solve -3*r = -d*o - 2, -5*r + 2*o + 12 = -2*o for r.
4
Let k = 16 - 28. Let h be k/(-2)*(-25)/(-30). Suppose 2*m + 17 = 4*t - 3, 5*t = 25. Solve -10 = -5*r - h*p - m, 0 = r - 3*p - 14 for r.
5
Let g = 20 + -29. Let r = 15 + g. Solve -3*x + 2*x + 6 = -3*u, -2*x + r = -3*u for x.
0
Suppose v + 4*s = 10, -5*s - 1 = -6. Solve -2*h - 1 = 3*b - v*b, -2*b + 5*h = -8 for b.
-1
Suppose 3 = -3*l - 4*a - 13, 0 = 3*l + a + 4. Suppose l = -4*f + 16. Solve -f = 2*j, 2*i - j = -3*j - 10 for i.
-3
Suppose 10 = 2*q, 0 = -5*u - 5*q + 19 - 139. Let a = 42 + u. Solve -2 + 7 = m, 4*p - a = -m for p.
2
Let f be (-4 + 4)*(-2)/4. Solve 2*t - 4 = 0, f*t - 3*t = -2*m - 4 for m.
1
Suppose -12*f + 8*f = 0. Let u(d) = -d**3 - 3*d**2 + 6*d - 6. Let h be u(-5). Let i be 8/28 + 66/h. Solve i*z - 22 = -g + 4*g, f = -5*z - 5*g + 30 for z.
5
Let m = -27 + 39. Let y be 3 + 3 - (0 + -2). Let p = m - y. Solve -4*x = 4*l + x - p, 2*l + 2*x = 0 for l.
-4
Suppose 3*u = -d + 10, -2*u = -4 - 0. Suppose 6*a = d*a. Solve -3*p = 5*g - 13, -2 + a = -2*g - 2*p for g.
5
Let r be (-1)/((-3)/66*2). Solve 8 = -4*c + 3*a, -5*c - r = 4*a - 1 for c.
-2
Suppose p - 3*p - 8 = 0. Let y be ((-12)/p)/((-1)/(-7)). Suppose h - 4*h = -y. Solve -5*z + 3*z + 6 = 0, z + h = 2*d for d.
5
Let i be 1/4 - 55/(-20). Solve y + c - 5 = 2*y, 0 = 2*y - i*c + 14 for y.
-1
Let z be 4/(5*(-8)/(-180)). Let w = -5 + z. Solve 3*k + 3*a = 9, 0 = -k + 6*k - 2*a + w for k.
-1
Suppose -2*p = -3*p. Let y be (-4)/4 - (p + -1). Let v = y - -12. Solve r - 3*t - 1 = 5, v = 3*r - 3*t for r.
3
Suppose 0 = -5*v + 5*c + 20, -c - 10 = -3*v + 2. Solve 0 = -q - v*s, 5*q - q = -5*s for q.
0
Let v be 2/(-4)*(1 - 1). Let p = 146 + -126. Solve -w - 4*w = -5*c + 10, v = 4*w + 2*c + p for w.
-4
Suppose 4*l = -3*d + 9, -5*l - 14 = -3*d + 22. Solve 2*g - 2 = 0, 0 = -3*w + g - 0 - d for w.
-2
Suppose -2*i + 3*u = i - 27, -3*u = 2*i + 2. Solve -3*g + 26 = 4*q, -5*g = 2*q - 3*q - i for g.
2
Let h = -11 + 15. Suppose -u + 4*u + 12 = 0. Let d be 10/h*(-8)/u. Solve -2*k - 5*x = -6*k + 35, 0 = d*k - 5*x - 40 for k.
5
Suppose -22*s + 480 = -7*s. Solve 4*v = 4*d + s, -4 - 2 = 3*d + 3*v for d.
-5
Suppose 4*n + 0*n - 36 = 4*j, n + 5*j = -15. Solve n = -5*w, 3*g - 3*w + 2*w = 7 for g.
2
Let j = 6 + -2. Solve -5*h = -20, -d + 1 - 22 = -j*h for d.
-5
Let m be 663/26 - 6/4. Solve -4*d + 2*d + 3*k - 14 = 0, 0 = 4*d - 4*k + m for d.
-4
Suppose -15 = -3*m - 3. Solve -3*x - 9 = v, m*v + 6 = -x - 8 for v.
-3
Suppose p - 31 = 4*h, -5*h + 36 = -10*h + 4*p. Let t be h + ((-4)/(-2) - 0). Let m = t + 10. Solve 0 = r + 3*k + 4 + m, -3*r + k = 14 for r.
-5
Let n be (-5)/1*6/(-10). Let q = n + 1. Solve 4*a - 2*o + 18 = 8*a, 4*o + 12 = q*a for a.
4
Let d(g) = 12*g**2 - 1. Let k be d(1). Suppose -120 = -0*p + 4*p. Let s be (-50)/p + (-2)/(-6). Solve -s*c = 5*v - 0*v - k, -v = -c - 5 for c.
-2
Let s be 5/(-15) - (-32)/6. Suppose s = -4*o + 17. Suppose -15 = -3*b, f - 25 = -f - 5*b. Solve f = 3*w - 2*n - 14, -o*w - 2*w - n + 6 = 0 for w.
2
Suppose -3*o = -3*r - 6*o + 9, 3 = -3*o. Let a be -4 + r - (0 - 4). Let d = -5 - -19. Solve 2*p + 26 = a*s, 4*s + d = -3*p + 5*s for p.
-3
Let f(i) be the second derivative of -i**3/6 - 3*i**2/2 + i. Let u be f(-8). Solve -2*o = a - 3*o - 1, -u*a - 3*o = -21 for a.
3
Let l(y) be the first derivative of y**4/4 - 2*y**3 + y**2 - 9*y + 5. Let s be l(6). Solve -o = -5*n + 10, -5 = 2*n + s*n - 4*o for n.
3
Suppose -4 = u, 0 = -3*v + u + 16 - 6. Solve n = 3*h - h + v, -4 = -3*h + 5*n for h.
-2
Suppose i + 3*i + 20 = 5*s, 5*i = -s - 25. Suppose 3*f = -f + n + 13, f - 3*n + 5 = s. Solve 2*u = 4*k - 12, 0 = 3*k + u - 5 - f for k.
3
Let c = -15 + 19. Solve -o = -c*i + 19, 3*o = -2*o + i for o.
1
Suppose 0*h + 2*h = 10. Let x = 7 - h. Solve k + 11 = -x*m, -2*m + 3*m - 5*k = 0 for m.
-5
Let l = -13 - -7. Let i = 11 + l. Solve -k - 5*p + 3 = 22, -i*p = 20 for k.
1
Let k(i) = -i**2 + i + 2. Let z be k(2). Let d(j) = -3*j - 5. Let p be d(-3). Solve 2*c = -4*f + 8, p*f = -4*c - z*c for f.
4
Suppose 0*j + j = 2*u - 6, -4*j - 12 = -4*u. Solve 2*t - 26 = 4*n, -u*t + 2*n + 23 = -0*n for t.
5
Let g be (-2)/8 + 130/8. Solve 2*f - 4*o + g = 0, 0*o - o + 9 = -3*f for f.
-2
Let n = -3 - -4. Suppose 3*k = -3, -b + 5*b - n = k. Suppose 2 = s - b. Solve 3*l = -s*z + 4, -l + z = 3*z - 4 for l.
0
Let t be 0 + 3/3*3. Let g(u) = -u**3 + 9*u**2 - u + 12. Let x be g(9). Let c = x + -1. Solve 5*n + t = -c, 3*n + 15 = 3*h for h.
4
Suppose -5*x = -3*x + 3*x. Solve x = -4*l - 3*j + 1, 4 = -4*l - 0*l - 4*j for l.
4
Suppose 0 = 4*c - 3*c + 6. Let x(l) = -l**3 - l**2 + 13 - 4*l**2 - 4 + 6*l. Let a be x(c). Solve -4*p - 2*i = -i + a, 5*i = 5*p + 5 for p.
-2
Suppose -8 = -u + 4*a, -a = 2*u + 2*u - 15. Solve u = -5*q + 2*d, 0*q + 4*d + 8 = 2*q for q.
-2
Let l(i) = 2 - 4*i - i - i**2 - 4. Let j be l(-3). Solve 5*m + 2 = 3*u - 1, 4*m + 4 = j*u for u.
1
Suppose 3*x - c = 11, 2*x + 2*c - 21 + 3 = 0. Solve -2*a = n - x, -n = n - 3*a + 18 for n.
-3
Suppose -r = u + 4*r - 21, 0 = -5*r + 25. Let i = 4 - u. Solve 0 = 4*l + 5*c - i, 2*l + c - 10 = -3*l for l.
2
Let t(a) = -a**2 + 9*a + 6. Let z be t(9). Suppose -n = 2*n - z. Solve -3*c = d + 11, 4*d - 2*d = n*c - 6 for d.
-5
Let y = -14 - -18. Solve y*g + 19 + 1 = -3*l, 0 = 4*g - l + 4 for g.
-2
Let c = -2 + 4. Let a = 2 + c. Let z = a - 2. Solve -z*s = -5*s - p - 16, 5*s - p + 16 = 0 for s.
-4
Let y = -8 - 22. Let k be y*1/2*-2. Let d be ((-27)/(-6))/((-3)/(-8)). Solve -5*i = -3*t - k, 2*i = -2*i + d for t.
-5
Let m = -204 - -206. Solve -4*o - 8 + 0 = -5*r, -m*o + r = -2 for o.
3
Let c be (-3 + -2)*4/(-10). Suppose 4*f = -16, 3*o - 20 = 2*o + 4*f. Suppose -h + 4 = -o. Solve c*y - 6 = 0, -u + 2*y - 2 = h for u.
-4
Let k = -9 + 15. Let x(b) = b**2 - 7*b + 1. Let g be x(k). Let v be (-13)/(-5) - 2/g. Solve -t + v*t - 4*h + 18 = 0, h - 2 = 0 for t.
-5
Let w(a) = a + 7. Let z be w(-3). Solve -c - z*d - 13 = 0, 2 = -2*d - 2 for c.
-5
Let k be (-4)/16 - 164/(-16). Suppose 14 = 3*q - k. Solve 2*c + q = -4*g, -3*g = -3*c - 6*g - 9 for c.
-2
Let o be (-4)/(-6) + 16/(-6). Let d be (0 + 1 - -3) + o. Suppose -8 + 56 = 4*m - 2*z, -d*z - 58 = -5*m. Solve 25 = -4*g + r, m = 3*g - 0*r + 5*r for g.
-5
Let v(q) = 0 - 1 + 3*q - q. Let b be v(1). Solve 3*m + 4*r + b = 3*r, -5*r = -5*m - 15 for m.
-1
Let x = 11 + 0. Solve 0 = -f + 2*u + 1 + 6, 2*f - 3*u = x for f.
1
Let r(j) = j**3 - 16*j**2 - 16*j - 15. Let h be r(17). Solve h*t = -2*p - 16, 5*p + 19 = 2*t - 0*t for p.
-5
Suppose -4*b = 2*d - 8, 2*b +
|
{
"pile_set_name": "DM Mathematics"
}
|
t z.
-2420*i**3 + 48*i*z**2
What is the third derivative of 109*c**3*q*z + 2*c**3*t*z - 2*c**3*z - 32*c**2*q*t*z + 4*c**2*q*t - 2*q*t wrt c?
654*q*z + 12*t*z - 12*z
What is the second derivative of -740*x**5 + 584*x?
-14800*x**3
What is the second derivative of -175*z**5 - 127*z wrt z?
-3500*z**3
What is the derivative of 4*f**2 - 454*f + 1187?
8*f - 454
Differentiate 677*c**2 + 2*c + 2547 wrt c.
1354*c + 2
Differentiate 1228*c + 3283 wrt c.
1228
Find the second derivative of h**4 - 2777*h**3 + 10166*h wrt h.
12*h**2 - 16662*h
What is the third derivative of 33*s**6 - 11*s**3 + 51*s**2 - 26*s wrt s?
3960*s**3 - 66
Find the third derivative of 4*a**3*w - 84*a**3 + a**2*w + 891*w wrt a.
24*w - 504
What is the third derivative of -550*n**4 + 236*n**2 wrt n?
-13200*n
What is the second derivative of -1238*h**5 - 92*h + 4 wrt h?
-24760*h**3
Find the second derivative of 393*j*s**2 + 27*j*s + 3*j + s**2 - s wrt s.
786*j + 2
Find the third derivative of 4*g**5*r**2 + 5*g**3*r**2 - g**2*r**2 - g*r**2 - 8 wrt g.
240*g**2*r**2 + 30*r**2
What is the first derivative of -507*a**4*x + 5*a*x - 6543*x wrt a?
-2028*a**3*x + 5*x
Differentiate 1310*b + 764.
1310
What is the first derivative of 83*i**3*p**2 + 2*i**3*p - i**3 - 11 wrt p?
166*i**3*p + 2*i**3
Find the second derivative of -309*k**3*z**3 + 4*k**3*z - 3*k**2*z - 3*k wrt z.
-1854*k**3*z
Differentiate -2*o**3*p*q + 2*o**3*p + 1444*o**2*p*q - 2*p - 31 wrt q.
-2*o**3*p + 1444*o**2*p
What is the second derivative of -2*b**2*d**3*l - 36*b**2*d**2*l**2 + 2*b*d**3*l**2 + 8*b*d - b*l + 2*d**3*l wrt b?
-4*d**3*l - 72*d**2*l**2
Find the third derivative of c**3*p**3*u - 97*c**3*p**3 + 11*c**3*p*u - 2*c**2*p**2 + 2*c*p**2*u wrt p.
6*c**3*u - 582*c**3
Find the first derivative of 7*f*g**3 - 1123*f*s**2 - 2*g**3*s + 12*g**2 - 5*s**2 wrt f.
7*g**3 - 1123*s**2
What is the third derivative of -15*t**2*u**4 + t**2*u**2 + 28*t**2*u + 4*u**4 wrt u?
-360*t**2*u + 96*u
What is the third derivative of 4*s**6 - 50*s**5 + 2266*s**2 + 3*s wrt s?
480*s**3 - 3000*s**2
Differentiate 14854*t**2*v - 6129*t**2 wrt v.
14854*t**2
Differentiate 59*k*y + 2*k + 4*y - 250 wrt y.
59*k + 4
Differentiate -2*a**2*h**2 + 15*a**2*h + 382*a**2 - a*h**2 wrt h.
-4*a**2*h + 15*a**2 - 2*a*h
Find the second derivative of -c*o**3 + 3*c*o**2 + c*o - 5*c - 177*o**3 + 8*o + 3 wrt o.
-6*c*o + 6*c - 1062*o
Differentiate l**2 + 7*l*v**2 + 3*l*v - 73*v**2 with respect to l.
2*l + 7*v**2 + 3*v
Find the second derivative of -2*f*m**2*q*y + 2*f*m*q*y + 182*f*m*q - 2*f*m - f*q - 109*m**3*q*y - 3*m**3*q + y wrt m.
-4*f*q*y - 654*m*q*y - 18*m*q
Differentiate 5*f**4 - 352*f**2 - 2028.
20*f**3 - 704*f
Find the third derivative of 40*f*g**6*s + 6*f*g**6 + 8*f + g**3 + g**2*s - 7*s wrt g.
4800*f*g**3*s + 720*f*g**3 + 6
Differentiate 91*c**2*h - 5*c**2 + 3*c + 8*h**4 - 133 wrt h.
91*c**2 + 32*h**3
What is the third derivative of -289*a**3*k**3 + 2*a**3*k**2*z**2 + 2*a**2*k*z**2 + 2*k**3*z - 4*z**2 wrt a?
-1734*k**3 + 12*k**2*z**2
What is the second derivative of 83*r*s**4 + 103*r*s + r wrt s?
996*r*s**2
Find the second derivative of 20*p**3*s - 115*p**3*v**2 + p*v - 10*s*v**2 - 43*s wrt v.
-230*p**3 - 20*s
What is the derivative of -191*q**2 - 190 wrt q?
-382*q
What is the third derivative of 3*o**4*u + 231*o**3*u + 536*o**2*u + 4*o**2 wrt o?
72*o*u + 1386*u
Find the first derivative of -6*p**2 + 44*p - 142.
-12*p + 44
What is the second derivative of -91*z**2 - 24*z?
-182
Find the third derivative of -283*i**3 - 9*i**2 + 16 wrt i.
-1698
Differentiate 58*d**3 + 1138 with respect to d.
174*d**2
What is the second derivative of 175*l**2*u**3 - 301*l*u**3 wrt l?
350*u**3
Find the second derivative of 108*z**2 - 59*z wrt z.
216
Find the second derivative of -201*f**2*r*z**2 + 3*f**2*r*z + 14*f*r*z + 2*r*z**2 + 2*z wrt z.
-402*f**2*r + 4*r
What is the third derivative of -8080*r**6 + 2*r**2 - 202*r + 2 wrt r?
-969600*r**3
Differentiate -2*k**4*x**3 + 44*k*x**3 - 48*x**3 wrt k.
-8*k**3*x**3 + 44*x**3
Find the second derivative of 5738*f**2 + 939*f + 1.
11476
What is the third derivative of 2*b**3*c**3*g*t + 21*b**3*c*t + 2*b**3*g - 2*b**2*g + 4*b*c**3 - 3*b*c*g*t + 6*b*c*t wrt b?
12*c**3*g*t + 126*c*t + 12*g
Differentiate -110*o + 568 wrt o.
-110
Find the third derivative of -2*i**6 + i**4*q + 9*i**3*q - 175*i**2*q + 2*i*q wrt i.
-240*i**3 + 24*i*q + 54*q
What is the derivative of -2*h*y**2 + 84*h*y - 403*h wrt y?
-4*h*y + 84*h
What is the second derivative of -40*l**2*n*q**2 - 6*l**2*n*q - 4*l*n*q + 6*n*q**2 + q**3 wrt q?
-80*l**2*n + 12*n + 6*q
Find the first derivative of l**3 + 5*l**2 + 106*l - 891 wrt l.
3*l**2 + 10*l + 106
What is the first derivative of -68*w**2*x - 7*w**2 - 82*w + 18*x wrt x?
-68*w**2 + 18
Differentiate 1782*m - 1772 with respect to m.
1782
What is the derivative of 792*i - 240 wrt i?
792
Find the second derivative of -l**4*z - 1885*l**3 - 444*l*z wrt l.
-12*l**2*z - 11310*l
Find the second derivative of -1151*y**2 + 1334*y wrt y.
-2302
Find the first derivative of 2*l**4*x**3 - l**4 - 2*l*x**3 + 54*x**3 - 2*x wrt l.
8*l**3*x**3 - 4*l**3 - 2*x**3
What is the second derivative of -2*p**2*x**3 - 101*p**2 + 3*p*x**2 + 39*x**3 wrt p?
-4*x**3 - 202
Differentiate -3*a**2*u - 27*a**2 - 348*a*u**2 + 5*a + 39 with respect to u.
-3*a**2 - 696*a*u
What is the third derivative of -14269*v**3 + 17334*v**2 - v wrt v?
-85614
Find the second derivative of 263*i**5 - 2*i - 25.
5260*i**3
What is the first derivative of -2*j*u**3 - 75*j*u**2*v - 759*j + u**3*v - 2*u**3 - v wrt v?
-75*j*u**2 + u**3 - 1
What is the third derivative of -83*u**5 - 19*u**2 wrt u?
-4980*u**2
Differentiate -12809*a*l - 15516*l wrt a.
-12809*l
Differentiate 3*a**4 - 31*a**2*b + 230*b + 2 with respect to a.
12*a**3 - 62*a*b
What is the derivative of -2892*h**2*s**3 - h**2*s**2 + 2*h**2 + 121*h + 2*s - 4 wrt s?
-8676*h**2*s**2 - 2*h**2*s + 2
Differentiate -3*q**3 + 78*q**2 - 907 with respect to q.
-9*q**2 + 156*q
What is the third derivative of -469*s*w**3 + 5*s*w**2 - s*w + 5*w wrt w?
-2814*s
What is the third derivative of i*p**3 + 2*i*p*u + p**3*u**2 + 9*p**3*u + 4*p**2 - 12*u**2 wrt p?
6*i + 6*u**2 + 54*u
Find the third derivative of -19*k**2*p**3 - k**2*p*z + 11*k*p**3*y**2 - 200*k*p**2*y**2*z + 2*p**3*y*z + p**2*z + y*z wrt p.
-114*k**2 + 66*k*y**2 + 12*y*z
What is the third derivative of -u**5 - u**4*x**3 - 47*u**3*x - 45*u**2*x**3 - u**2 wrt u?
-60*u**2 - 24*u*x**3 - 282*x
Differentiate 2*d**3*g + 47*d**3*u + 20*d*g*u - 2*d*u - d wrt g.
2*d**3 + 20*d*u
Find the second derivative of -215*p*v**2 - 5*p*v - 13*p - 3*v wrt v.
-430*p
Find the second derivative of -t**2*u**5 - 809*t**2*u**4 - 61*t**2*u - t**2 + 2*t*u wrt u.
-20*t**2*u**3 - 9708*t**2*u**2
Find the third derivative of b*f**3*w + 3383*b*f**3 + b*f*w - 3*b - 4*f**2*w + 7*w wrt f.
6*b*w + 20298*b
Find the second derivative of 96*j**4 + 97*j - 1 wrt j.
1152*j**2
What is the second derivative of 7*g**3*l - 2*g**2*l + 252*g**2 - 26*g*l - 9*l - 8 wrt g?
42*g*l - 4*l + 504
What is the second derivative of 2*k*o**2*u*y**2 - 2*k*o**2*y**2 - 3*k*o*y - k*u*y + 3673*k*y**2 + 7*o**2 - o*u*y + 4*o wrt y?
4*k*o**2*u - 4*k*o**2 + 7346*k
Find the first derivative of 36*a**3*n + 2*a**3 + 466*a + 49*n**4 wrt n.
36*a**3 + 196*n**3
Find the second derivative of 13*j**5*m + 605*j**5 + 5370*j - 2*m + 1 wrt j.
260*j**3*m + 12100*j**3
Differentiate -37*j**4*n - 3*j**2*n**3 + 3*n**3 - 33 wrt j.
-148*j**3*n - 6*j*n**3
Find the second derivative of -468*x**4 - 1162*x.
-5616*x**2
What is the third derivative of -12*j*s**6 - 5*j*s**3 + 19*j*s + 36*s**2 wrt s?
-1440*j*s**3 - 30*j
Find the first derivative of -5*p**4 + 97*p**3 + 1960 wrt p.
-20*p**3 + 291*p**2
Differentiate -557*t**2*v**2 + 3*t**2*v - 3*t**2 + v**2 + 571 wrt v.
-1114*t**2*v + 3*t**2 + 2*v
Differentiate 172*n**2 + 1403 with respect to n.
344*n
What is the first derivative of -3554*z**2 + 110?
-7108*z
Find the second derivative of -2*c*x**5 + 5885*c*x**2 - 65*c*x + 91*x wrt x.
-40*c*x**3 + 11770*c
What is the third derivative of -171*k**3*u**3*x**2 + k**3*u**2*x**2 + 2*k**3*u**2*x - k**3 + 4*k**2*u*x**2 - 2*u**3*x**2 wrt u?
-1026*k**3*x**2 - 12*x**2
Find the second derivative of 16401*t**3 - 3*t - 2607 wrt t.
98406*t
Differentiate -342*m**2 - 236.
-684*m
What is the third derivative of -25*d
|
{
"pile_set_name": "DM Mathematics"
}
|
, -3/5, 9, 1, -2/5.
-3/5, -0.5, -2/5, -0.1, 1, 9
Put 707, -2, -6, 1, 32 in increasing order.
-6, -2, 1, 32, 707
Put 3, -5958, 2, 4, 2/9 in descending order.
4, 3, 2, 2/9, -5958
Sort -1594447, -5, 3 in ascending order.
-1594447, -5, 3
Put 3, 30, 19, -1 in decreasing order.
30, 19, 3, -1
Put -6, 1, 32, 25 in decreasing order.
32, 25, 1, -6
Sort -12, -3, 452, -4.
-12, -4, -3, 452
Sort -25101, -1, 5, 1 in decreasing order.
5, 1, -1, -25101
Put 7, -160, -6, 6 in ascending order.
-160, -6, 6, 7
Put -7, -5, 23, -4, -16 in increasing order.
-16, -7, -5, -4, 23
Sort -0.04, 9, -2, 31 in decreasing order.
31, 9, -0.04, -2
Put 5, 5/4, -1.7, -1/6, 25/3 in descending order.
25/3, 5, 5/4, -1/6, -1.7
Sort 3, 2, -3, -59, 52, -2 in ascending order.
-59, -3, -2, 2, 3, 52
Put -37/2, -4, 10/57, -5 in descending order.
10/57, -4, -5, -37/2
Sort 4, -2, 2, -1, -78914, 5 in increasing order.
-78914, -2, -1, 2, 4, 5
Sort 0.2, 13, -20/9 in ascending order.
-20/9, 0.2, 13
Sort -4, 3, -0.3, -0.03, -11/8 in decreasing order.
3, -0.03, -0.3, -11/8, -4
Sort 1, -50, -5, 0, 212 in ascending order.
-50, -5, 0, 1, 212
Sort 47, 3, -3, -4 in decreasing order.
47, 3, -3, -4
Sort -659, 4, 2 in decreasing order.
4, 2, -659
Sort -2/7, 1, 274.6, -1/3 in decreasing order.
274.6, 1, -2/7, -1/3
Put 0.1, 88, 2, -0.4, -3, -2 in descending order.
88, 2, 0.1, -0.4, -2, -3
Sort 6, 0, -3, 2, 17.
-3, 0, 2, 6, 17
Sort -14, -6/7, -1, -0.1, -4 in descending order.
-0.1, -6/7, -1, -4, -14
Put -0.1, 33, 13, -9, -0.3 in decreasing order.
33, 13, -0.1, -0.3, -9
Sort -2, -5, 2544, -1 in descending order.
2544, -1, -2, -5
Sort 4, 0.4, 14582 in decreasing order.
14582, 4, 0.4
Put -175, -12, 3, -11 in ascending order.
-175, -12, -11, 3
Sort -4/5, 3/700, 0.4 in increasing order.
-4/5, 3/700, 0.4
Put 13, 12, 6, 0, -1, 2 in ascending order.
-1, 0, 2, 6, 12, 13
Put -13, -4, 1, -12, 39 in descending order.
39, 1, -4, -12, -13
Sort 2, -0.2, -11, -2, -93 in ascending order.
-93, -11, -2, -0.2, 2
Sort -8, 5, 3, 13, -13.
-13, -8, 3, 5, 13
Put -0.05, 3, -36/139 in descending order.
3, -0.05, -36/139
Sort -1, 22, -338 in increasing order.
-338, -1, 22
Put 1/5, -8943, 4 in ascending order.
-8943, 1/5, 4
Put 4, 4/5, 26.13 in descending order.
26.13, 4, 4/5
Put 1399, -2, -5, -8 in decreasing order.
1399, -2, -5, -8
Put 4634, 4, 5, -1 in decreasing order.
4634, 5, 4, -1
Sort -1152, -5, -4, -2 in ascending order.
-1152, -5, -4, -2
Sort 0.5, 2/5, 3, 4, -968, 4.2.
-968, 2/5, 0.5, 3, 4, 4.2
Put -4, -0.014, -75, 2, -1, -3 in descending order.
2, -0.014, -1, -3, -4, -75
Put -10/513, 1, 3, -1/4, -48 in descending order.
3, 1, -10/513, -1/4, -48
Sort -6, 3, 59, 0 in decreasing order.
59, 3, 0, -6
Sort -1, 81, -2, -5, -15, 0.
-15, -5, -2, -1, 0, 81
Put -1, -22, -19, -5, 27 in descending order.
27, -1, -5, -19, -22
Put 4, 2, 1, -19, 10 in decreasing order.
10, 4, 2, 1, -19
Sort 3/38, -0.18, -12 in decreasing order.
3/38, -0.18, -12
Put 662, -5, 1, -2, -4 in ascending order.
-5, -4, -2, 1, 662
Sort 5, -16, 0.2, 232, 2/5, -3/4 in decreasing order.
232, 5, 2/5, 0.2, -3/4, -16
Sort 2/11275, 1/5, -1/3, -13 in increasing order.
-13, -1/3, 2/11275, 1/5
Put 341, -5, -16, 4 in increasing order.
-16, -5, 4, 341
Sort 195, 34, -1, -20 in ascending order.
-20, -1, 34, 195
Sort 5, -234, 2, -2, 60 in decreasing order.
60, 5, 2, -2, -234
Sort 10, -3, -1, 33, -26, 3.
-26, -3, -1, 3, 10, 33
Sort -3/2, 1, 21, -0.31 in decreasing order.
21, 1, -0.31, -3/2
Sort -3, 1, -662, -2, 2, 12.
-662, -3, -2, 1, 2, 12
Put -3, -19, -3/4, -0.5, -1029, 3 in ascending order.
-1029, -19, -3, -3/4, -0.5, 3
Put -4346, 4, -28, -5 in descending order.
4, -5, -28, -4346
Sort 2, -2, -10, 0, 3, 24 in descending order.
24, 3, 2, 0, -2, -10
Put 5, 0.02, -21834.7 in increasing order.
-21834.7, 0.02, 5
Sort -158, -2, 13 in increasing order.
-158, -2, 13
Put 1, 8345, -19 in decreasing order.
8345, 1, -19
Sort 10, -4, 35 in increasing order.
-4, 10, 35
Sort -4, -0.137, -0.6, -2, -0.4, -5 in decreasing order.
-0.137, -0.4, -0.6, -2, -4, -5
Put 0.4, 0.8, 1, 3/91 in decreasing order.
1, 0.8, 0.4, 3/91
Sort 546, -11, 5 in increasing order.
-11, 5, 546
Sort 3/5, 2/11, -601, -0.028 in decreasing order.
3/5, 2/11, -0.028, -601
Sort -5, 29/2, 2/9, 2/7, -2/45, -40 in descending order.
29/2, 2/7, 2/9, -2/45, -5, -40
Put -2, -10, 72, -4, -1/4 in descending order.
72, -1/4, -2, -4, -10
Sort 1257, 8, 4/7, 0.4 in increasing order.
0.4, 4/7, 8, 1257
Sort -2, 5, -3, 108, -431, 3 in ascending order.
-431, -3, -2, 3, 5, 108
Sort -2, -6, -3/5, -8 in descending order.
-3/5, -2, -6, -8
Sort -2/87, -9, -4, -1, -144 in increasing order.
-144, -9, -4, -1, -2/87
Sort 159, 5/74, 2/11.
5/74, 2/11, 159
Sort -1, -0.3, -34418, -4.
-34418, -4, -1, -0.3
Put -17, 11379, 2, 3 in descending order.
11379, 3, 2, -17
Sort 18, -5, 0.4, 37/5, -4.
-5, -4, 0.4, 37/5, 18
Sort -6, -105.5, -2, -3/8 in decreasing order.
-3/8, -2, -6, -105.5
Sort -46, -1, -9, -3, 4 in increasing order.
-46, -9, -3, -1, 4
Sort 4, 23, -5, 12743 in decreasing order.
12743, 23, 4, -5
Put 0.2958, -21, -3 in descending order.
0.2958, -3, -21
Sort 32346, -4, -1, 0.15 in decreasing order.
32346, 0.15, -1, -4
Sort -4, -29, -1, -9625 in descending order.
-1, -4, -29, -9625
Sort -5, -1, -183 in ascending order.
-183, -5, -1
Put -3, -7, 18, -12 in ascending order.
-12, -7, -3, 18
Sort -301, -124, -1 in descending order.
-1, -124, -301
Sort 1/155, -5, 2/9, -0.4.
-5, -0.4, 1/155, 2/9
Put 1, -365, 55, 3 in decreasing order.
55, 3, 1, -365
Put -8, 4734, 5 in descending order.
4734, 5, -8
Put 5, 453, -4, 1, 3 in increasing order.
-4, 1, 3, 5, 453
Sort 315, -3, 4, 1, 488.
-3, 1, 4, 315, 488
Put -19/4, 0.18, 4, 5 in increasing order.
-19/4, 0.18, 4, 5
Sort 2/11, 1, 31, 122, -1/2 in ascending order.
-1/2, 2/11, 1, 31, 122
Put -3, -0.2, 5, -16386/19 in descending order.
5, -0.2, -3, -16386/19
Put -0.4, 13, 4570 in decreasing order.
4570, 13, -0.4
Put 3561/506, 2, 3 in increasing order.
2, 3, 3561/506
Sort -1/4, 3, -1.125, -1, 1/4 in decreasing order.
3, 1/4, -1/4, -1, -1.125
Put -1, 4, 28, -2 in increasing order.
-2, -1, 4, 28
Sort 1/8, -1/7, -224, 2/7, -7 in increasing order.
-224, -7, -1/7, 1/8, 2/7
Sort 3, 799, -911 in ascending order.
-911, 3, 799
Sort -4, 115, -2, -20 in ascending order.
-20, -4, -2, 115
Put -331/5, -28, -0.2 in descending order.
-0.2, -28, -331/5
Sort -1, -3, 5, -381, 43.
-381, -3, -1, 5, 43
Sort 1/11, 0.5, 43, -763 in decreasing order.
43, 0.5, 1/11, -763
Sort -15, 1.8, 2/55 in decreasing order.
1.8, 2/55, -15
Sort -26, -1, -4, 1135 in ascending order.
-26, -4, -1, 1135
Sort -54, -2, -19.2, -5.
-54, -19.2, -5, -2
Put 2/3, 4, 0.1, 41598 in ascending order.
0.1, 2/3, 4, 41598
Sort 48, 2, 5, 26 in ascending order.
2, 5, 26, 48
Sort 203/2, -5, 15, 1/5 in decreasing order.
203/2, 15, 1/5, -5
Put 206, -2, -1, -2/13, 2/5 in ascending order.
-2, -1, -2/13, 2/5, 206
Put -1, 9, -1/3, -0.3, -82, -5 in descending order.
9, -0.3, -1/3, -1, -5, -82
Sort -3, 38348, -2/9 in descending order.
38348, -2/9, -3
Put -4.02, 1.2, 5, -0.3 in increasing order.
-4.02, -0.3, 1.2, 5
Put -0.057, -26, 2/3, 3/4 in decreasing order.
3/4, 2/3, -0.057, -26
Put -5, -30734, -4 in increasing order.
-30734, -5, -4
Sort -4, -5570, -2 in descending order.
-2, -4, -5570
Sort -14, 11, -3, -108 in ascending order.
-108, -14, -3, 11
Sort 3, 17, -899 in increasing order.
-899, 3, 17
Sort 1/4, -0.08, 76, 2 in ascending order.
-0.08, 1/4, 2, 76
Sort -59, -1, 958 in decreasing order.
958, -1, -59
Sort 2, 159, 0, 31 in ascending order.
0, 2, 31, 159
Put 1, -3, 8484 in descending order.
8484, 1, -3
Sort -5, 0, 4, -306, 3 in descending order.
4, 3, 0, -5, -306
Put 11809, -1, -4 in decreasing order.
11809, -1, -4
Put -10, 5, -1547, -5 in descending order.
5, -5, -10, -1547
Sort -5, -404, 0, -2, -3 in descending order.
0, -2, -3, -5, -404
Sort 3, -7, 4, -4, -589 in decreasing order.
4, 3, -4, -7, -589
Sort 8148, 3, -1, 2 in decreasing order.
8148, 3, 2, -1
Put 4, -4, -3, 42, -11 in decreasing order.
42, 4, -3, -4, -11
Sort 1/2, 47, 97, 0 in increasing order.
0, 1/2, 47, 97
Put -5, 0, 20, -1, -40, 12 in increasing order.
-40, -5, -1, 0, 12, 20
Sort 2, -1, 310, -6, 0, 5 in descending order.
310, 5, 2, 0, -1, -6
Put -4, 28, -0.04 in decreasing order.
28, -0.04, -4
Sort 5, 12, -0.3, 162, -3
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the distance between -0.081 and 97.64?
97.721
What is -175.9499 + -419?
-594.9499
Put together 2311080832 and 19.
2311080851
What is 0 plus 0.05214201?
0.05214201
32.5 - 1.80803
30.69197
Work out 0.47 - -90905530.
90905530.47
What is 341.9383 + -98?
243.9383
What is the difference between -20 and -35498.2?
35478.2
Sum 5 and -274108965.
-274108960
What is 3.7 plus -3768.227?
-3764.527
Sum -4.5112166 and 19.2.
14.6887834
What is the distance between 0.20154 and 12.712?
12.51046
-69.423921 + -2.4
-71.823921
What is the distance between 122905 and 81656?
41249
Calculate -15749589 + -0.1.
-15749589.1
-3223 - -43.5
-3179.5
What is 10.49 take away -11.5?
21.99
Sum -109.28 and 884627.
884517.72
Subtract 0.099612 from -55216.
-55216.099612
What is 5872 less than 211.95?
-5660.05
-0.22413 + -0.1461555
-0.3702855
Total of 0.624565 and 0.2838.
0.908365
What is -0.025 minus 6577729?
-6577729.025
Total of -0.3 and -357396.
-357396.3
What is 206.3 less than -1.5914?
-207.8914
What is -71073869.99 take away 0.3?
-71073870.29
-221412171 - -5
-221412166
Add 17.58 and 11957834.
11957851.58
What is -0.31 plus -29570418?
-29570418.31
What is 17018.5 plus 41.24?
17059.74
Calculate 0.3 - -132.1527718.
132.4527718
Add -302623112 and 55.
-302623057
Sum 106.9507 and 56479.
56585.9507
What is the distance between -4 and 291335659?
291335663
0.3528 - 19.7929
-19.4401
Add together -50.9 and -307150.
-307200.9
What is -116 take away 76093.76?
-76209.76
Total of -241.353 and -99.
-340.353
What is the distance between 0.04 and 6970706032?
6970706031.96
What is -132929 less than -66.2?
132862.8
What is 118564404 minus -1.08?
118564405.08
Work out -44612 - 292.7.
-44904.7
Add 2.3877192 and -308.
-305.6122808
What is -38397157 - 0?
-38397157
Put together -92054174 and 7.1.
-92054166.9
Work out -0.5 - 17684063.
-17684063.5
Total of 236.6088045 and -0.5.
236.1088045
What is 3 + -1797703388?
-1797703385
Calculate 118.9 + -1915.
-1796.1
Put together -1040 and -3185.01.
-4225.01
5971942+108
5972050
Total of 4 and 211598527.
211598531
Total of 2.959662 and 0.23.
3.189662
Subtract 0.06941279005 from -15.
-15.06941279005
Total of 615 and 0.04213.
615.04213
Work out 4170365.92 + 3.
4170368.92
What is 2056611022 + 7?
2056611029
Add 10.02 and 286.8197.
296.8397
-2.155 - 24248196
-24248198.155
What is -17781639947 - -0.4?
-17781639946.6
What is 2816 less than 4.44104?
-2811.55896
2.458119876+-0.3
2.158119876
Add -3824.9227 and 0.5.
-3824.4227
Subtract 2345016 from 0.5.
-2345015.5
Add -3 and 0.02437882169.
-2.97562117831
0.5 + 4091.1618
4091.6618
What is the distance between 4.7 and 1250698.83?
1250694.13
Work out 12130 + 1.838.
12131.838
0.252 + 128608782
128608782.252
What is 7 plus 3667920?
3667927
Work out 56851979 + 3302.
56855281
Add -0.2278 and 12489.
12488.7722
-4.0228441619 - 0
-4.0228441619
What is the difference between -168303 and -3311?
164992
Work out 59 - -9704071.
9704130
Add together 34.75 and -4255128.
-4255093.25
What is -72 minus 1995864?
-1995936
Add together -5.2 and -0.7709724.
-5.9709724
Work out -8.05 - -495162.71.
495154.66
What is -1854 less than 0.2504?
1854.2504
What is -29468.011 plus -0.2?
-29468.211
Sum 153122402 and -0.28.
153122401.72
Sum -4 and 254.675369.
250.675369
Total of 19862 and -717.
19145
Work out -39711694 + 0.4.
-39711693.6
What is -422345292.7 - -0.3?
-422345292.4
175898428+-1.2
175898426.8
-4549 + 4617.965
68.965
Sum 6 and -9502262.
-9502256
Put together -1711186 and -13.
-1711199
143023578+0.23
143023578.23
What is 69 less than -17734429?
-17734498
Total of 25 and -93210.3.
-93185.3
What is -376 + -0.0956469?
-376.0956469
What is 347782705 take away -1.2?
347782706.2
Work out -0.1 - -257085.5636.
257085.4636
Work out 1575 - 120025.
-118450
What is the distance between -0.3429 and -0.1338936?
0.2090064
What is the difference between -88447.5055 and 3?
88450.5055
Sum 89 and 571287.
571376
What is -5511485122 + -0.1?
-5511485122.1
188.2 - -55983
56171.2
-0.6+-0.168585008
-0.768585008
Work out 47776912 - 3162.
47773750
Add together -0.0046 and 1.5141031.
1.5095031
Sum -430.9 and -1.9914.
-432.8914
-4295563+4182
-4291381
-17.48+-5614
-5631.48
Total of -3307.451 and 62.
-3245.451
What is 4308 less than 48.13837?
-4259.86163
Total of 0 and 0.21163418.
0.21163418
Work out 0.4 - 1838.4125.
-1838.0125
-656250+-3469
-659719
-0.018+-102849
-102849.018
Add 22.1 and -98783.06.
-98760.96
Subtract 529129 from -11.
-529140
What is 5.5 plus -0.4333941?
5.0666059
Sum 1.35351637 and -4.
-2.64648363
What is the distance between -0.29 and -28.8382253?
28.5482253
Total of -55095326 and -0.12.
-55095326.12
What is -267310090 less than 141?
267310231
Calculate -0.01 + -54.02573.
-54.03573
Total of -10 and 91.202073.
81.202073
What is 115453 minus 0.6?
115452.4
What is -55.1983 plus -17574?
-17629.1983
Calculate 172020 + -0.629007.
172019.370993
Work out -0.116122 + -12298.
-12298.116122
6.11 + 94456041
94456047.11
What is -124427 plus 1.03?
-124425.97
Work out -4 - -22474064.
22474060
Subtract 3348515 from -0.147.
-3348515.147
Subtract -24208 from 1211.
25419
Add together 33 and -33228867.
-33228834
-578446 + 17
-578429
Put together 0.5 and 0.1278504.
0.6278504
-0.00341+50307
50306.99659
Calculate -380 - -78.34176.
-301.65824
Subtract -7470 from -33697.
-26227
Sum 20688345 and 0.1.
20688345.1
What is 7 plus -46017816?
-46017809
Add 1765611 and 19.
1765630
1.9 - 131527
-131525.1
What is 0.1 - -126451735?
126451735.1
What is 53 take away -1290943?
1290996
Work out 263213 + -68.1.
263144.9
20117 + 4931
25048
Add together 1266.892 and -1606.
-339.108
What is 1727 minus 87225?
-85498
Add together -22587 and 4742.
-17845
What is 667 plus 4843?
5510
What is -79.7218 + -89.453?
-169.1748
What is -1789899.6 minus -135?
-1789764.6
Work out 0.4 + -1.345854727.
-0.945854727
Add together -0.4 and 31957.21153.
31956.81153
12+-610028673
-610028661
Put together 0.19164 and 75.483.
75.67464
Put together 0.042 and -0.0752577.
-0.0332577
Work out 0.1 - -0.93214242.
1.03214242
What is -33785 minus 98097?
-131882
-351802.41 - 9
-351811.41
Put together 0.5 and -4574.33202.
-4573.83202
0.762 - -1.01089
1.77289
What is the difference between 511 and -674866?
675377
What is -3 minus 0.06091416?
-3.06091416
Calculate -1770 + 143.3529.
-1626.6471
What is 42470773597 - 0.2?
42470773596.8
What is -8 plus 0.2693534?
-7.7306466
What is -68800 take away -0.673?
-68799.327
Subtract 1.4058 from 47.54.
46.1342
What is -35 plus 0.69981593?
-34.30018407
Put together -1 and -14360355.
-14360356
Add 743.42 and 0.073.
743.493
What is 0 take away -530353.43?
530353.43
What is 0.07 take away 1611463.5?
-1611463.43
Put together -4 and 153.787697.
149.787697
Put together -0.072 and -167.9536.
-168.0256
Add together 5 and -48666.1847.
-48661.1847
Calculate -720453020 - 0.01.
-720453020.01
Work out -4 - -3877598749.
3877598745
Sum 6.851245 and -1.9.
4.951245
What is 0.066 take away 697360?
-697359.934
0.08 - 1619.996
-1619.916
What is -1478.53918 - -129?
-1349.53918
What is 8099.8 minus 1.821789?
8097.978211
Calculate -3470309.99 - -2.
-3470307.99
-29881986 - 0.182
-29881986.182
Work out 203115909 + -1.
203115908
What is -405 minus 0.0548679?
-405.0548679
-0.445287+6.9
6.454713
What is 620084341 plus 0.2?
620084341.2
Calculate -5 - 0.2679663.
-5.2679663
Work out 41251.6 + 373.77.
41625.37
Calculate -48 + -8578.1.
-8626.1
Subtract 1.109 from 0.093338.
-1.015662
-298267 + -45
-298312
Work out 9860992 - -0.08.
9860992.08
Calculate -912082532 - -0.6.
-912082531.4
Put together -109.13011 and -0.03011.
-109.16022
8052387755 + 1.4
8052387756.4
What is -488542 take away -1.95?
-488540.05
Calculate -0.4528 - 155.39.
-155.8428
What is 0.3 - -294580876?
294580876.3
Put together 17194282.8 and -4.
17194278.8
Subtract -2135 from 937520.
939655
Work out -0.1 - -0.154430796.
0.054430796
Add -209.892 and -119.
-328.892
Total of 37932.2 and -1.035.
37931.165
Subtract 0.3 from -604.734621.
-605.034621
What is 1178 + -336137?
-334959
What is the distance between 0.11 and 113.47352?
113.36352
What is 0.2 less than -318553822?
-318553822.2
Put together -35 and 65.06882.
30.06882
Calculate 2 + 50244128.
50244130
Add 4 and 0.5480581295.
4.5480581295
Total of 5.597 and 14597.
14602.597
Calculate 151519 + 1287.
152806
Work out
|
{
"pile_set_name": "DM Mathematics"
}
|
-2 + m. Let p = 1.5239 + 0.4761. Which is the fourth smallest value? (a) 3 (b) p (c) -0.08 (d) u
a
Let z = 38.36 + -2.36. Let i = -39 + z. Let g = -15 - -14.9. What is the biggest value in -4/7, 1, g, i?
1
Let i be (-4)/80 - (-1656)/13920. Let f = 48/13 + -253/65. What is the third biggest value in -2, i, f?
-2
Let i = -5.29 + 5.521. Let r = i - 0.331. Which is the smallest value? (a) r (b) -2 (c) 6
b
Let s = 5441 + -5440. Which is the second biggest value? (a) -4/9 (b) s (c) 4
b
Let y = 845/408 - 10/51. Let m be (40/(-220))/(((-8)/(-16))/(22/(-4))). Which is the third biggest value? (a) m (b) 0.5 (c) y
b
Let g = -273/2 + 134. Let u = 2.582 - 2.682. Which is the smallest value? (a) g (b) u (c) -5
c
Let y = 9261 + -9262. Let u = -0.13 + 8.13. Which is the biggest value? (a) -3 (b) y (c) u (d) 0
c
Let y = -9104.88 + 9105. Which is the third smallest value? (a) y (b) 2/13 (c) -0.4 (d) 1/3 (e) 1
b
Let c be (-65)/20 + 3 - (-122)/8. Suppose 14*a - c = 13. Suppose -2*i - 2 - a = 0, -4*l - i + 2 = 0. What is the second smallest value in -1/4, -2/9, l?
-2/9
Let u = -33 - -751/23. Let b = -33/161 - u. Let q = -2780 - -2780.6. What is the smallest value in q, 2/17, b?
2/17
Let g = 50000/9 + -5554. Which is the biggest value? (a) -0.4 (b) -17 (c) g
c
Let p = -38.37 + 7.37. Which is the second biggest value? (a) p (b) -2 (c) 0.06 (d) -0.08
d
Let j be (-2)/3 + -3 + 2. Let p = -63 + 49. Let d = 13 - p. Which is the smallest value? (a) j (b) -4 (c) d
b
Let g be ((-344)/(-21672))/((-1)/3). Which is the third smallest value? (a) g (b) -2/7 (c) -55
a
Let t = 204 + -201. Let y be t/(-20)*(-2 - 5 - -11). What is the second smallest value in 19, 2/11, y?
2/11
Let y be 198/495 + 12/5 + -3. What is the biggest value in -9.8, -10, y?
y
Let w be 21/3 + (-7591)/2424*2. Let t = w + 4/303. Let z = 11 + -7. Which is the second biggest value? (a) z (b) 9 (c) t (d) -2
a
Let u = -0.3 - -0.5. Let q = -0.27 + 1.27. Let j = 7229.7 - 7230. Which is the second biggest value? (a) u (b) q (c) j (d) -2/5
a
Let p(s) be the first derivative of -s**4/4 - 4*s**3/3 + 5*s**2/2 - s - 27. Let h be p(-5). Which is the fourth smallest value? (a) h (b) 3 (c) 2/41 (d) -16
b
Let o be 0 + -2 - (-48)/26. Let x = -7.1235 + 870.0635. Let u = x + -863. What is the third smallest value in u, 1, o?
1
Let r = 8418 - 8417. What is the third smallest value in r, -0.266, -12?
r
Let l be (5 - 3) + (4 - -2). Suppose 4*u = i + 9 - l, -9 = -u + 2*i. Let x = 4 - -6. What is the biggest value in u, -2, -2/19, x?
x
Let z = -49 + 48.69. Let c = -1930492/5 + 386098. What is the biggest value in z, c, -2/11?
-2/11
Let x = 234 - 5. Let q = 224 - x. What is the third smallest value in 6, -0.7, q?
6
Let u = 9 + -14. Let v = 0.06925 + -0.66925. What is the third smallest value in -2, u, v?
v
Let q = 0.8 + -0.4. Let k = 94.911 - -0.089. Let z = 103 - k. Which is the third biggest value? (a) q (b) 1/2 (c) z
a
Let f = -441.09 + -5.91. Let s = f + 452. Which is the third smallest value? (a) 1 (b) 0 (c) s
c
Let w = -58519/8 - -7315. Which is the fourth biggest value? (a) w (b) 1.4 (c) -4/3 (d) 4
c
Let u = 9.71 + -10.01. Let l = -0.02 + -15.98. Which is the second biggest value? (a) l (b) u (c) 3
b
Let y = 7 - 5. Let b = 5.16 + 639.34. Let l = 644 - b. What is the smallest value in y, l, 7/6, 0.1?
l
Let k = -0.9 + 1. Let o = -147.97 - 10.03. Let r = o + 161. Which is the third smallest value? (a) 0.5 (b) k (c) 2/15 (d) r
a
Suppose -12*m + 170 = 22*m. Let q be 396/1540 + (-2)/m. Which is the second smallest value? (a) q (b) 2 (c) -0.15
a
Let v = -3 + 5. Let y = -8348 - -8343. Which is the biggest value? (a) y (b) 9.9 (c) v
b
Let x = 206 - 174. Suppose -x*w - 215 = 105. Which is the third biggest value? (a) 6 (b) 2/11 (c) w
c
Let d = -10 - -7. Let l = 1.37 - 2.9. Let y = -0.53 - l. What is the smallest value in d, y, -4?
-4
Let i = 200/7 - 751/28. Which is the fourth biggest value? (a) i (b) 0.2 (c) 5 (d) -1
d
Let h = 22/15 + -7/5. Let l be 25/5 + -3 - (-1192)/(-32). Let p = -995/28 - l. What is the second biggest value in p, -3/7, h, -5?
p
Let b = 0.007 + 3.793. Let a = -3.68 + b. Let x = 0.18 + a. What is the second biggest value in 1/5, 4, x?
x
Let i = -4.92 - 0.08. Let s = 1365 - 1360. Which is the smallest value? (a) s (b) i (c) -22
c
Suppose 3*m = 166 - 85. Let x be (3/m*-6)/(-2). Which is the biggest value? (a) 2 (b) x (c) -5 (d) -13
a
Let n(f) = f**3 + 7*f**2 + 6*f - 2. Let k be n(-6). Suppose 5*x + 125 = -5*t + 35, -35 = -5*t. Which is the fourth biggest value? (a) 3 (b) k (c) x (d) 1
c
Let r be -1 + (-1)/(-2)*-2. Let m(d) = 43*d + 3401. Let x be m(-79). What is the biggest value in x, r, -0.06?
x
Let i = -309 - -313. Let w = 6 - 2. Suppose -w*z + 1 = -5*z. Which is the smallest value? (a) 0 (b) i (c) z
c
Suppose -p - 21 = -3*p - 5*c, -3*p + 21 = 4*c. Suppose -n + 2*f + 10 = p, -5*f = 3*n + 1. Let l = 421/6 - 212/3. What is the smallest value in l, n, 1?
l
Suppose 100*i - 2*q + 15 = 101*i, 3*q + 114 = 5*i. Let y be (6/9)/((-7)/i). Which is the fourth biggest value? (a) -0.4 (b) 0 (c) y (d) -5/6
c
Let o = 5.4417 - 5.9417. Let l = -0.1 - 0.9. What is the third biggest value in -1/12, -2, l, o?
l
Let l = -11563.3 + 11563. What is the biggest value in l, -0.059, -0.1?
-0.059
Let u be ((-6)/(-8))/(3/12). Let f = -1.9158 - 0.0842. Which is the fourth smallest value? (a) u (b) -1 (c) f (d) -3
a
Let w be ((-25)/(-10) - 0)*5/100. Let v be (-6)/10*3/3. What is the fourth biggest value in v, 8, -0.2, w?
v
Let d = -1814 + 1813.7. What is the biggest value in 0.024, 1/7, d?
1/7
Let j = 3 - 7/3. Let h be (-1)/(-4) - (-252)/(-16). Let o = 15 + h. What is the second biggest value in j, -2, o, 5?
j
Suppose 4*c = 8*c + 16. Let t = 26.1500997 + -0.1500997. What is the third biggest value in 0, t, -1/4, c?
-1/4
Let r = -1282 - -1200.7. Let s = -82 - r. Which is the third biggest value? (a) 2 (b) -5 (c) s
b
Let c = 1.533 + -0.133. What is the third smallest value in -5, 3, c, 0.4?
c
Let m be 4/5*50/20. Suppose -8 = 4*y + m*f, -8 = 4*y - f - 2*f. Let h be 3/2*(-16)/(-6). Which is the third smallest value? (a) -1 (b) -4 (c) y (d) h
a
Let l be 7/(-2) + 1 + (-27)/18. Which is the second smallest value? (a) l (b) -0.32 (c) -1 (d) 0.1 (e) -0.5
c
Let j = -23727.13 - -23616. Let v = j + 111. Which is the biggest value? (a) -3 (b) 1 (c) v (d) -0.5
b
Let y be 52/91*(7 - (-135)/(-20)). What is the smallest value in -1, -2, 4, y, -12?
-12
Let p = -1691 + 1699. Let t = 8 + -19. Let w = t - -13. What is the third biggest value in 2/9, p, w, 4?
w
Let h = -9.4 + 5. Let j = -4 - h. Let n = -4646 - -4632. Which is the smallest value? (a) 2 (b) -1/3 (c) n (d) j
c
Suppose -s = -11*s + 40. Suppose 8 = s*z + 4*q, -z + 5*z - q = 18. Let g be (9/6)/((-21)/z). Which is the third biggest value? (a) 49 (b) g (c) 5 (d) 0.4
d
Let i be 2/4 + (-5)/6. Suppose 0 = 896*t - 901*t + 60. Let r be ((-4)/(-25))/((-6)/(-30)). What is the fourth biggest value in t, i, 5, r?
i
Let u = -0.2 - 0.3. Let f = -55111 - -55128. What is the smallest value in f, u, 0.4?
u
Let l = -481.4704 + 481. Let d = 0.0704 + l. What is the biggest value in -1/22, d, -0.3?
-1/22
Let n = 0.2 + 17.8. Let v = -199.5 + 182. Let m = n + v. Which is the biggest value? (a) m (b) -0.5 (c) 3
c
Let t = -0.006 + 36.006. Let z = 39 - t. Suppose 4*d = 7 + 1. What is the second biggest value in z, d, -2/23?
d
Let i = 29432 + -29431.1. Which is the third biggest value? (a) -11 (b) 2/3 (c) -4/3 (d) i
c
Suppose -2 = -485*r + 486*r. Let b be r + (0 - (-140)/77). Let f = -316/5 + 64. What is the biggest value in 1/2, b, f?
f
Let n be 136/(-8) + 1305/90. Which is the biggest value? (a) 2/15 (b) 7 (c) n (d) 2/13 (e) -0.5
b
Let d = 3529 + -3534. What is the second smallest value in 2/17, d, -1/4, 2, 7/3?
-1/4
Let d = 6/625 - 506/625. What is the third smallest value in -6, 1, d?
1
Let z = -4143.925 - -4144. What is the smallest value in -2, -0.8, z?
-2
Let o be -14 + (4 - -9) + 4. Let y = 137/3 + -45. Which is the second smallest value? (a) -4 (b) y (c) o
b
Let f = 2.9105 - 2.8405. What is the second biggest value in 3, -3, -2/241, 0, f?
f
Let h = -5774.1 - -5774. Let o = 3 + 0. L
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from ccgbzb. What is prob of sequence bcz?
1/30
Three letters picked without replacement from {x: 1, z: 1, m: 1, j: 1, s: 1}. What is prob of sequence jxm?
1/60
Two letters picked without replacement from {g: 1, r: 3, s: 3, o: 2, k: 1}. What is prob of sequence ro?
1/15
Calculate prob of sequence bi when two letters picked without replacement from {i: 3, b: 7}.
7/30
Four letters picked without replacement from {g: 1, s: 3, d: 1, h: 4, t: 5, i: 3}. Give prob of sequence tshd.
1/952
Calculate prob of sequence tkbx when four letters picked without replacement from ckcxcccxkcxxbtk.
1/2730
Four letters picked without replacement from {g: 2, y: 3, a: 11, c: 2, o: 1}. What is prob of sequence yocg?
1/7752
Four letters picked without replacement from pddfffdp. What is prob of sequence ddfd?
3/280
Three letters picked without replacement from cbcmcubmzbmdduc. Give prob of sequence cdm.
4/455
Calculate prob of sequence gzi when three letters picked without replacement from {z: 12, g: 7, i: 1}.
7/570
What is prob of sequence bbbu when four letters picked without replacement from uwwbwubwb?
1/252
Two letters picked without replacement from {k: 8, q: 2, z: 2}. What is prob of sequence kz?
4/33
What is prob of sequence qx when two letters picked without replacement from {x: 1, k: 2, q: 1, w: 2, p: 1}?
1/42
Two letters picked without replacement from ykyykyyyy. What is prob of sequence yk?
7/36
Two letters picked without replacement from {z: 3, h: 2, k: 6, p: 1}. Give prob of sequence pz.
1/44
Two letters picked without replacement from {r: 4, v: 3, t: 1, e: 1, w: 10}. Give prob of sequence wr.
20/171
Two letters picked without replacement from tlwtqll. Give prob of sequence tq.
1/21
Three letters picked without replacement from {s: 3, q: 1, d: 1, b: 5, h: 2}. Give prob of sequence bdb.
1/66
What is prob of sequence vg when two letters picked without replacement from {c: 2, j: 1, b: 7, g: 4, v: 2}?
1/30
Three letters picked without replacement from {q: 1, w: 1, v: 1, n: 2, i: 1, x: 1}. Give prob of sequence wnx.
1/105
Three letters picked without replacement from ctmccmtcc. Give prob of sequence ctc.
5/63
Three letters picked without replacement from {b: 2, j: 4, n: 7, i: 1}. What is prob of sequence bnn?
1/26
Three letters picked without replacement from jfjfjjjffjjf. What is prob of sequence fjj?
7/44
Calculate prob of sequence fhf when three letters picked without replacement from {f: 3, h: 9}.
9/220
What is prob of sequence eee when three letters picked without replacement from ltleeete?
1/14
What is prob of sequence hb when two letters picked without replacement from vhbghhebehrghbg?
1/14
Calculate prob of sequence yzy when three letters picked without replacement from yyyyyizyyyyyziy.
22/273
Calculate prob of sequence bpp when three letters picked without replacement from lfaabaplfpfab.
1/429
What is prob of sequence cnp when three letters picked without replacement from {n: 3, u: 5, p: 1, t: 2, c: 8}?
4/969
Two letters picked without replacement from wppwwpwwplwwlpopwp. Give prob of sequence ww.
28/153
Two letters picked without replacement from rbgvrbbvbrcbcb. What is prob of sequence bg?
3/91
What is prob of sequence vw when two letters picked without replacement from vgvggvvwvmmv?
1/22
What is prob of sequence jb when two letters picked without replacement from {b: 1, z: 1, k: 1, j: 1, e: 1}?
1/20
Three letters picked without replacement from {a: 1, x: 4, s: 8}. What is prob of sequence sxa?
8/429
Four letters picked without replacement from {z: 3, s: 11}. What is prob of sequence zzsz?
1/364
Four letters picked without replacement from {q: 5, k: 5, u: 1}. What is prob of sequence uqqk?
5/396
Calculate prob of sequence zyz when three letters picked without replacement from zyzy.
1/6
Calculate prob of sequence ytty when four letters picked without replacement from tyvvytyvvtvvty.
6/1001
What is prob of sequence yu when two letters picked without replacement from bubyubuuyyu?
3/22
What is prob of sequence jov when three letters picked without replacement from {o: 1, v: 1, j: 2, c: 2}?
1/60
What is prob of sequence oq when two letters picked without replacement from aqaaotqgtratttgttor?
2/171
What is prob of sequence wc when two letters picked without replacement from {w: 2, x: 4, o: 4, c: 5}?
1/21
Two letters picked without replacement from lmmldmlmrdddddeld. What is prob of sequence mr?
1/68
Calculate prob of sequence yp when two letters picked without replacement from pyppppyyppyppp.
20/91
What is prob of sequence bxn when three letters picked without replacement from xnxbbyyynpyibxxiyxbb?
5/684
Calculate prob of sequence tt when two letters picked without replacement from plltttllplt.
6/55
Three letters picked without replacement from {h: 2, b: 1, j: 2, x: 1}. Give prob of sequence bxj.
1/60
What is prob of sequence kk when two letters picked without replacement from kkkkkkkkkk?
1
Three letters picked without replacement from cbbbc. Give prob of sequence bbc.
1/5
Calculate prob of sequence lyyv when four letters picked without replacement from {i: 2, y: 5, p: 2, v: 2, l: 8}.
10/2907
Calculate prob of sequence ebuu when four letters picked without replacement from {u: 7, b: 2, e: 3, l: 1, j: 1}.
3/286
Calculate prob of sequence sgg when three letters picked without replacement from {g: 3, c: 1, z: 2, a: 1, v: 1, s: 3}.
1/55
Four letters picked without replacement from cswxc. Give prob of sequence ccsx.
1/60
What is prob of sequence eeee when four letters picked without replacement from eeeeee?
1
Four letters picked without replacement from {h: 4, z: 7}. What is prob of sequence hzzz?
7/66
Three letters picked without replacement from {k: 5, t: 5, s: 1, m: 1, d: 5}. Give prob of sequence sdt.
5/816
Three letters picked without replacement from {y: 1, a: 1, h: 1}. What is prob of sequence yah?
1/6
Calculate prob of sequence qtex when four letters picked without replacement from xeqtqtt.
1/140
Calculate prob of sequence epv when three letters picked without replacement from cvppcvevppep.
1/44
Calculate prob of sequence rr when two letters picked without replacement from lrr.
1/3
What is prob of sequence tx when two letters picked without replacement from xtyxptyxxxyxypxxypy?
8/171
What is prob of sequence llm when three letters picked without replacement from {l: 2, m: 3}?
1/10
Calculate prob of sequence rur when three letters picked without replacement from rrrrruurrurruururur.
154/969
Calculate prob of sequence vhkz when four letters picked without replacement from zkkihdhhvdvd.
1/990
Calculate prob of sequence ucw when three letters picked without replacement from {w: 1, e: 2, u: 2, d: 1, c: 1}.
1/105
Two letters picked without replacement from {i: 2, v: 2, r: 2, j: 5, y: 1, x: 1}. Give prob of sequence rv.
1/39
Calculate prob of sequence rq when two letters picked without replacement from rqffqrqrrfrrqr.
2/13
Two letters picked without replacement from {y: 2, p: 1, h: 8, d: 1, f: 5}. What is prob of sequence fp?
5/272
Calculate prob of sequence vsv when three letters picked without replacement from xyxysysvxxsvssx.
1/273
Two letters picked without replacement from {u: 2, k: 1, l: 2, e: 1}. Give prob of sequence lu.
2/15
Four letters picked without replacement from {e: 8, f: 3, a: 5}. Give prob of sequence fffa.
1/1456
Calculate prob of sequence kn when two letters picked without replacement from kuknuunuuuun.
1/22
Two letters picked without replacement from {n: 1, j: 1, x: 4, v: 5, z: 1, l: 3}. What is prob of sequence lj?
1/70
Three letters picked without replacement from nnnxnxxxxnxn. Give prob of sequence xxx.
1/11
Three letters picked without replacement from {w: 9, e: 5}. Give prob of sequence ewe.
15/182
Calculate prob of sequence kne when three letters picked without replacement from oeenk.
1/30
Calculate prob of sequence ss when two letters picked without replacement from {s: 2, j: 10}.
1/66
What is prob of sequence zynz when four letters picked without replacement from yyznz?
1/30
Three letters picked without replacement from jjggcgcjjjjjugjj. Give prob of sequence ugc.
1/420
Two letters picked without replacement from drd. What is prob of sequence dr?
1/3
Two letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.2, -0.03 in increasing order.
-0.2, -0.03, 1/4, 4/9, 383/2
Sort -25, -0.4, 1/9, -21, 0.13 in ascending order.
-25, -21, -0.4, 1/9, 0.13
Sort 16, -5, -138, -11 in descending order.
16, -5, -11, -138
Put 1, -81, 36 in ascending order.
-81, 1, 36
Sort 0, -10/3, -1/6, 11, -0.034 in decreasing order.
11, 0, -0.034, -1/6, -10/3
Sort -0.6, 1, -1/2, -6, 0.5 in increasing order.
-6, -0.6, -1/2, 0.5, 1
Sort -2, 0.47, -1, 0.89 in descending order.
0.89, 0.47, -1, -2
Sort -8, 3, 15991.
-8, 3, 15991
Sort 1, -0.3, 5, -11, -334.
-334, -11, -0.3, 1, 5
Sort 23, 462, -3 in descending order.
462, 23, -3
Put 2/9, -0.03, 1/5, -706.5, 0.1 in descending order.
2/9, 1/5, 0.1, -0.03, -706.5
Put -22, 7, -2, -1 in decreasing order.
7, -1, -2, -22
Put 1/13, -46.2, -0.2, -2/3 in decreasing order.
1/13, -0.2, -2/3, -46.2
Sort -256, 39, 4, 7 in decreasing order.
39, 7, 4, -256
Sort -5, -1283, 0.5, 4/3 in descending order.
4/3, 0.5, -5, -1283
Sort -1/3, -4, -38.4, 1, 2, 9/7 in decreasing order.
2, 9/7, 1, -1/3, -4, -38.4
Sort 214, 29, -2 in decreasing order.
214, 29, -2
Sort 5/3, -3, 2, 5, -1.5.
-3, -1.5, 5/3, 2, 5
Sort -2, -8, 1394, 3 in descending order.
1394, 3, -2, -8
Sort 21, 2, -1, -3, -5, 22.
-5, -3, -1, 2, 21, 22
Put -0.2, -2, -19/11, 0, -3, -1 in descending order.
0, -0.2, -1, -19/11, -2, -3
Put -3, 7, -1, -349, 61 in ascending order.
-349, -3, -1, 7, 61
Sort -507, -0.4, -134.
-507, -134, -0.4
Sort -1, -4, 705, -6, 3.
-6, -4, -1, 3, 705
Sort 19, 2, -11, 1, -4, -3 in decreasing order.
19, 2, 1, -3, -4, -11
Sort -2/639, 0.15, -4 in increasing order.
-4, -2/639, 0.15
Put -11, 1, -2, 3041 in ascending order.
-11, -2, 1, 3041
Sort -3, -1951, 3, -2, -1.
-1951, -3, -2, -1, 3
Put -1/3, -0.11, 30.8, -1/5, -2/5 in descending order.
30.8, -0.11, -1/5, -1/3, -2/5
Put 6, 669, -10 in descending order.
669, 6, -10
Sort -2, 0.1, 4, 108/125 in ascending order.
-2, 0.1, 108/125, 4
Sort 0, 5, 3882, -2, 25 in descending order.
3882, 25, 5, 0, -2
Sort -83, -33, -4, -1, 1.
-83, -33, -4, -1, 1
Sort -1, 0, -158672 in ascending order.
-158672, -1, 0
Sort 2, 1414, -2, 3, 1 in descending order.
1414, 3, 2, 1, -2
Put -3, 3/4, 5, 3/46 in ascending order.
-3, 3/46, 3/4, 5
Sort 4/11, -2/67, 0.1, -1.9, 1 in ascending order.
-1.9, -2/67, 0.1, 4/11, 1
Put -1.1, -66, 6/11, 4, 1, -1 in descending order.
4, 1, 6/11, -1, -1.1, -66
Sort 41, 2/55, -1, 3/7.
-1, 2/55, 3/7, 41
Put 13, -2, 1, 16, 15 in ascending order.
-2, 1, 13, 15, 16
Sort 2/17, -1/9, -2, 23, -4 in decreasing order.
23, 2/17, -1/9, -2, -4
Sort -1/8, 632, -3 in ascending order.
-3, -1/8, 632
Put 2, -5, 5, 416, -2 in increasing order.
-5, -2, 2, 5, 416
Sort 59, 157, 1.
1, 59, 157
Put 1.38, -3, -16/3, 1/2 in descending order.
1.38, 1/2, -3, -16/3
Put 1, -3, -27, 10 in increasing order.
-27, -3, 1, 10
Put -250, -125, -2 in decreasing order.
-2, -125, -250
Put -2, 7, -4, 1, -41, 2 in increasing order.
-41, -4, -2, 1, 2, 7
Sort -5, 25, -10, 4, -0.1.
-10, -5, -0.1, 4, 25
Sort -0.3, 2/3, 79229, 2 in increasing order.
-0.3, 2/3, 2, 79229
Put -4, -364, 151, -5 in ascending order.
-364, -5, -4, 151
Sort 2, 0.1, 7, 140/13 in increasing order.
0.1, 2, 7, 140/13
Sort -7, -1/415, -4.
-7, -4, -1/415
Sort -4, -1777, -3, 5, -10.
-1777, -10, -4, -3, 5
Put 23, 2, -1, 8, -3, 14 in descending order.
23, 14, 8, 2, -1, -3
Sort 16, 4, -100512 in increasing order.
-100512, 4, 16
Sort -59, -2, 4, 5, 1, -211 in increasing order.
-211, -59, -2, 1, 4, 5
Put 0.2, -20, -3, 1, -0.2 in descending order.
1, 0.2, -0.2, -3, -20
Sort -3, 3816, 0.2, 2/7, 5, -3/8 in descending order.
3816, 5, 2/7, 0.2, -3/8, -3
Sort 0, 7, -251, -2, -1 in ascending order.
-251, -2, -1, 0, 7
Put 0.1, -0.06, 1338, -0.2 in decreasing order.
1338, 0.1, -0.06, -0.2
Sort 0, 1616, -3, -1.
-3, -1, 0, 1616
Sort -1/4, -7/446, 77 in decreasing order.
77, -7/446, -1/4
Sort -1, -22, 0, 1, -14 in descending order.
1, 0, -1, -14, -22
Put 2, -41, 21, 3, -1, -16 in ascending order.
-41, -16, -1, 2, 3, 21
Put 1, 385, 0.5, -6, 2/5 in decreasing order.
385, 1, 0.5, 2/5, -6
Put -1/2, -2/11, 1266, 0.089 in ascending order.
-1/2, -2/11, 0.089, 1266
Sort 0.01, -65/4, -1/15, -5, -4.
-65/4, -5, -4, -1/15, 0.01
Sort 2/9, -0.19, 50, 3, 0.2.
-0.19, 0.2, 2/9, 3, 50
Put 3069, -2/13, -2 in decreasing order.
3069, -2/13, -2
Put 0.4, 0.01, 5/16, 2/11 in descending order.
0.4, 5/16, 2/11, 0.01
Put 8, -138, -1, -5 in increasing order.
-138, -5, -1, 8
Put 2/5, 1/49, 2/3 in increasing order.
1/49, 2/5, 2/3
Put 2/9, -11, 2, -2/11, 0.1, 0.6 in ascending order.
-11, -2/11, 0.1, 2/9, 0.6, 2
Put -2, 1, -20, 15, 5 in decreasing order.
15, 5, 1, -2, -20
Put 93/7, 1/3, 7/18 in increasing order.
1/3, 7/18, 93/7
Put 2, 94/5, -1.2, 0, -3, 1/6 in decreasing order.
94/5, 2, 1/6, 0, -1.2, -3
Sort 6, -2, -117, -3 in decreasing order.
6, -2, -3, -117
Put 1.39692, 0.3, 2 in descending order.
2, 1.39692, 0.3
Put 8, -4, 52, -6, -3 in descending order.
52, 8, -3, -4, -6
Put -3455, 4, -3 in ascending order.
-3455, -3, 4
Sort 4, -11, 1, 9, -8 in descending order.
9, 4, 1, -8, -11
Put 197, -3, -201 in descending order.
197, -3, -201
Sort 13, -3, -0.1, -4/7, -0.28 in descending order.
13, -0.1, -0.28, -4/7, -3
Sort 0.2, 0.4, -0.3, -2533384.
-2533384, -0.3, 0.2, 0.4
Put -5, -4, 12619 in decreasing order.
12619, -4, -5
Sort -0.4, -2483, 12, 4.
-2483, -0.4, 4, 12
Sort 4, 284, -6, -3, 3, 0 in descending order.
284, 4, 3, 0, -3, -6
Sort 1, 5, 7990, -1, 3 in decreasing order.
7990, 5, 3, 1, -1
Put 30, 1/31, -0.02, 1, -1/77 in decreasing order.
30, 1, 1/31, -1/77, -0.02
Sort -4, -378, 2, 12, -5, -1 in ascending order.
-378, -5, -4, -1, 2, 12
Put -23, -3, -4, -59, -6 in increasing order.
-59, -23, -6, -4, -3
Sort 9, 691, -6.
-6, 9, 691
Put 1448, -2, 18, -3, -1, 2 in decreasing order.
1448, 18, 2, -1, -2, -3
Sort -5, 11, 353 in increasing order.
-5, 11, 353
Sort 816, 2, 3, 1, 12 in ascending order.
1, 2, 3, 12, 816
Sort -2, 5, -1, -0.2, 33 in increasing order.
-2, -1, -0.2, 5, 33
Sort 14, 3, -8, -6, -192, -3 in decreasing order.
14, 3, -3, -6, -8, -192
Put -1411, -3, -19 in descending order.
-3, -19, -1411
Put -43, -12, 102, 5, -1 in increasing order.
-43, -12, -1, 5, 102
Sort -8, 7, 424, -5 in descending order.
424, 7, -5, -8
Put -10/43, -3, 2.07 in decreasing order.
2.07, -10/43, -3
Sort -22, -0.104, -42.
-42, -22, -0.104
Sort 1, -1, -4, 10, -3 in decreasing order.
10, 1, -1, -3, -4
Put 2, 1, -5, 10, 282 in descending order.
282, 10, 2, 1, -5
Sort 0.01, -0.4, -1, 3191 in descending order.
3191, 0.01, -0.4, -1
Put 4, 0, 2, 867, 1 in increasing order.
0, 1, 2, 4, 867
Sort 0.09489, 0.1, -0.2, -6 in decreasing order.
0.1, 0.09489, -0.2, -6
Put -12, 4, 26, -36 in decreasing order.
26, 4, -12, -36
Sort 5, 5/4696, -0.5.
-0.5, 5/4696, 5
Sort 0, 5, 3, 9, 34, -15 in decreasing order.
34, 9, 5, 3, 0, -15
Put 2, -2061, 3, 4 in descending order.
4, 3, 2, -2061
Sort 34, 1/5, 7, 3.
1/5, 3, 7, 34
Sort 3.001, -7/3, -6, 4 in descending order.
4, 3.001, -7/3, -6
Sort -5, 4, -15, -3, 3, 218 in increasing order.
-15, -5, -3, 3, 4, 218
Sort -34, 0.5, 0.4, -154, 4 in descending order.
4, 0.5, 0.4, -34, -154
Sort 13, -5, 3, 0, 2023 in increasing order.
-5, 0, 3, 13, 2023
Put -1/5, -25, 0.36, 9, 5, 0 in ascending order.
-25, -1/5, 0, 0.36, 5, 9
Sort 53, 69, -2, -4, 3, 0 in decreasing order.
69, 53, 3, 0, -2, -4
Put 878, 0.09, 2/7, -2 in ascending order.
-2, 0.09, 2/7, 878
Put -4, -2, -298, 5, -3 in descending order.
5, -2, -3, -4, -298
Sort -12, 6, -3, 57 in ascending order.
-12, -3, 6, 57
Sort 2/4829, -0.4, 1/4, 0.
-0.4, 0, 2/4829, 1/4
Sort -4, -5, 2597, -9, -2 in descending order.
2597, -2, -4, -5, -9
Put 61/2, 0.0599, 0.4 in descending order.
61/2, 0.4, 0.0599
Put -2, -2532, 0 in decreasing order.
0, -2, -2532
Sort -3, -9, -54, -1/3 in decreasing order.
-1/3, -3, -9, -54
Sort 4, -0.5, -1, 2735 in decreasing order.
2735, 4, -0.5, -1
Sort -4, -21, -1, 723 in decreasing order.
723, -1, -4, -21
Sort 20, 424, 3 in decreasing order.
424, 20, 3
Sort 1, -2, 4, 2614 in decreasing order.
2614, 4, 1, -2
Sort 2, -5, -1293.
-1293, -5, 2
Put -1, -3, -41, -4, 4, -5 in decreasing order.
4, -1, -3, -4, -5, -41
Sort 12, -13/7, 47, -4.
-4, -13/7, 12, 47
Sort 10, -0.5, 0.7, 13, 0, -1/11 in descending order.
13, 10, 0.7, 0, -1/11, -0.5
Put -13, -2959, 1 in decreasing order.
1, -13, -2959
Put -0.4, 5
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - b*a**5 + 19*a**2 wrt a?
-1380*a**2
Let t(j) = -50*j**4 + 2*j - 78. Let n(p) = 79 - 15 - 3 + 94 - 5*p + 100*p**4. Let f(w) = -4*n(w) - 9*t(w). What is the second derivative of f(b) wrt b?
600*b**2
Let q(l) be the third derivative of 11*l**10/30240 - l**6/40 - l**5/30 - 4*l**3/3 - 3*l**2. Let b(s) be the third derivative of q(s). Differentiate b(i) wrt i.
220*i**3
Suppose -w + b + 5 = 0, -5*w - 3*b = 2*b - 15. Find the third derivative of -3*m**3 - 7820*m**4 + m**5 + 7820*m**w + 36*m + m**2 wrt m.
60*m**2 - 18
Suppose 3*l - 90 = 3*r, 3827*r = 3832*r + 10. Let c(k) be the first derivative of 0*k**3 + 15 + l*k - 23/2*k**4 + 0*k**2. What is the derivative of c(s) wrt s?
-138*s**2
Let h(u) be the third derivative of -59/6*u**3 + 17*u**2 + 0 + 0*u + 0*u**4 - 13/20*u**5. Differentiate h(r) with respect to r.
-78*r
Let p(y) be the first derivative of -11*y**4/4 - 4*y**3/3 - 8*y**2 - 4710*y + 15435. What is the first derivative of p(c) wrt c?
-33*c**2 - 8*c - 16
Suppose o - 11 - 28 = -w, 4*o + 8 = 0. Suppose 0 = -v + 63 - w. What is the third derivative of -6*t**4 + 61*t**2 + v*t**4 - 54*t**2 wrt t?
384*t
Let x = 704 + -222. What is the third derivative of 2*a - x*a**2 + 40*a**6 - 495*a**2 + 992*a**2 wrt a?
4800*a**3
Let m(x) = -386*x**2 + 86*x + 6. Let n(o) = 1156*o**2 - 264*o - 17. Let z(s) = -11*m(s) - 4*n(s). What is the second derivative of z(a) wrt a?
-756
Let l be 6 - 4 - (4 + 0). Let x be (3 + -1 + 0)/l*-2. Find the third derivative of x*c**4 + 2*c**4 + 210*c**2 - 187*c**2 wrt c.
96*c
Let h(t) be the third derivative of -2497*t**4/24 + 1048*t**3/3 - 195*t**2 - 2*t. Find the first derivative of h(p) wrt p.
-2497
Let p(r) = 21*r**5 + 139*r**4 + 2379*r - 7. Let d(v) = -14*v**5 - 91*v**4 - 1586*v + 5. Let x(i) = 7*d(i) + 5*p(i). What is the second derivative of x(a) wrt a?
140*a**3 + 696*a**2
Let i be (13 + (-69)/6)/((-6)/(-8)). Find the third derivative of -67*y**i + 25*y**3 + 1 - 8*y**6 + 93*y**2 - 11*y**3 + 174*y**2 - 8*y**3 wrt y.
-960*y**3 + 36
Let q be (-7)/(-5) + 6/10. Differentiate 21*i**3 + q*i - 11*i**3 + 15 - 47*i**3 + 92 with respect to i.
-111*i**2 + 2
Let r(z) be the first derivative of 44*z + 43/3*z**3 + 0*z**2 - 87. What is the first derivative of r(a) wrt a?
86*a
Let w(n) be the third derivative of 943*n**5/60 + 1727*n**4/12 - 3650*n**2. What is the second derivative of w(h) wrt h?
1886
Find the third derivative of -48*m**2 + 519 + 10019*m**3 - 517 - 2*m + 37*m**2 wrt m.
60114
Find the first derivative of -953 + 795*d**3 + 2015*d**3 - 3820*d**3 wrt d.
-3030*d**2
Let q be (-6)/8 + (-33)/(-12). Let x(d) = 2*d**3 - d**2 - 3*d + 4. Let o be x(q). Find the second derivative of 0*b - o*b**5 + 9*b - 11*b**5 - b wrt b.
-420*b**3
Let a(p) = -2*p**3 - 1. Let k(v) = 38*v**3 - 546*v**2 - 324*v + 20. Let f(x) = 20*a(x) + k(x). Find the second derivative of f(d) wrt d.
-12*d - 1092
Let u(r) be the second derivative of -4271*r**3/6 + 1465*r**2/2 + 235*r - 7. Find the first derivative of u(k) wrt k.
-4271
Suppose -5*c + 0*c = 2*a + 11, -5*a - c + 7 = 0. Suppose 313 = 5*y - 27. Find the first derivative of -13 + y*i**4 - 47*i**4 - a wrt i.
84*i**3
Let m(p) = -p**3 + 8*p + 5. Let q be m(3). Find the second derivative of -83575 + 35*n + 83575 + 177*n**q wrt n.
354
Differentiate 1786 - 3852 + 857 + 8936*y wrt y.
8936
Let j(m) be the second derivative of 322*m**3 + 509*m**2/2 + 2*m - 161. What is the derivative of j(n) wrt n?
1932
Let o(n) = 950*n**5 - 37*n**4 + 3127*n - 17. Let h(l) = 317*l**5 - 13*l**4 + 1042*l - 6. Let t(i) = -17*h(i) + 6*o(i). Find the second derivative of t(z) wrt z.
6220*z**3 - 12*z**2
Let v(z) be the second derivative of 0*z**3 - 315*z + 0*z**4 + 111/2*z**2 + 24/5*z**6 + 0*z**5 + 0. What is the derivative of v(h) wrt h?
576*h**3
Find the first derivative of 2*v + 514 - 15*v**2 - 22*v + 1410 wrt v.
-30*v - 20
Suppose s + 14*s = 240. Find the second derivative of 11 + 30*b**2 - 37*b + 172*b - s + 5 wrt b.
60
Let g(r) be the third derivative of -r**6/30 + 19*r**5/30 + 55*r**4/3 + r**3/2 + 7*r**2 + 17*r. Find the second derivative of g(y) wrt y.
-24*y + 76
Let r be (11 + -9 - 5/3)*6. What is the second derivative of -5*k - 5 + 34 + 0*k + 50*k**r + 6*k wrt k?
100
Let k = 241 + -239. Find the first derivative of -2*z**2 + 26*z - 44*z + 0*z**2 - 45 + z**k wrt z.
-2*z - 18
Let d be (-24)/12*27/(-2). Let x = -18 + d. What is the derivative of x*q - 3*q**4 + 19 - 7*q**4 - 9*q wrt q?
-40*q**3
Let c(h) = 2*h**5 + h**4 + h**3 - 1. Let q(r) = -7*r**5 + 406*r**4 - 3*r**3 - 2645*r + 3. Let b(d) = -3*c(d) - q(d). Find the second derivative of b(k) wrt k.
20*k**3 - 4908*k**2
Let k = -74 - -85. Suppose 2*q = k*q - 54. Find the third derivative of 67*s**2 - 8*s**6 - 97*s**2 + 0*s**q wrt s.
-960*s**3
Let h(v) be the first derivative of -2061*v**5/5 + 557*v**2/2 + 1844. What is the second derivative of h(t) wrt t?
-24732*t**2
Let u(x) be the second derivative of 1513*x**4/6 + 20*x**3/3 + 35*x**2/2 - 6*x + 228. What is the second derivative of u(t) wrt t?
6052
Let p = -168 - -172. What is the third derivative of i**3 - 20 + 2*i**2 - p - 38 - 16*i**4 + 18 wrt i?
-384*i + 6
Let q(z) = z**4 + 68*z**3 + 3612*z**2 + 48*z + 4. Let w(o) = o**4 - o**3 - 12*o - 1. Let m(l) = q(l) + 4*w(l). What is the third derivative of m(k) wrt k?
120*k + 384
Let q(n) be the second derivative of 9*n**8/1120 - n**5/8 + n**4/6 - 14*n**3/3 - 21*n. Let c(z) be the third derivative of q(z). Differentiate c(f) wrt f.
162*f**2
Let p = 44 + -19. Suppose 30*m - 125 = p*m. Find the third derivative of 11*y**4 + 3*y**4 - 27*y**2 - m*y**4 wrt y.
-264*y
Let b be (6 + 12)*2/12. Find the first derivative of -263 + 3*s**3 - 47*s**b + 300 wrt s.
-132*s**2
Let g(r) be the second derivative of 812*r**6/5 + 2009*r**2/2 - 3321*r. What is the first derivative of g(t) wrt t?
19488*t**3
Let r be (6*4/6)/(1 - 0). What is the third derivative of -r*u**5 - 18*u**2 - 6*u**4 - 1 - 2 + 15*u**4 - 8*u**4 wrt u?
-240*u**2 + 24*u
Let s(h) be the first derivative of 1829*h**6/6 + 1825*h**2/2 - 212. Find the second derivative of s(x) wrt x.
36580*x**3
Let m(b) = 1300*b**3 - 4*b**2 - 21*b - 16776. Let a(t) = -434*t**3 + 6*t + 5592. Let j(i) = -7*a(i) - 2*m(i). What is the first derivative of j(s) wrt s?
1314*s**2 + 16*s
Suppose -22284 = 5*f - 11*f. What is the third derivative of 3720 - 29*q**3 - 5*q**2 - f - 7*q**3 wrt q?
-216
What is the first derivative of -445 - 844*p**3 - 686 - 582*p**3 + 193 - 327 wrt p?
-4278*p**2
Find the second derivative of -1375*u**4 + 2655*u**4 - 7212*u + 3709*u**4 wrt u.
59868*u**2
Suppose -10*x - 10 + 120 = 0. Find the second derivative of -x*j + 1 + 2 - 32*j - 24*j**3 - 31*j**3 wrt j.
-330*j
Find the second derivative of 67 + 0*f**3 - 6*f**3 + 2*f - 5*f + 447*f**5 + 4*f**3 wrt f.
8940*f**3 - 12*f
Let j(i) be the second derivative of i + 0*i**3 - 153/20*i**5 + 0*i**2 + 17 - 83/6*i**4. What is the third derivative of j(b) wrt b?
-918
Let l(d) be the third derivative of 55*d**8/112 + d**7/210 + d**5/30 + 353*d**4/24 + 988*d**2. Find the third derivative of l(s) wrt s.
9900*s**2 + 24*s
Let w(a) be the first derivative of -35 + 0*a**2 - 145/3*a**3 + 44*a**4 + 0*a. Find the third derivative of w(g) wrt g.
1056
Let h(n) be the third derivative of 0*n**4 + n**2 - 7/60*n**5 + 0*n**3 + 7/60*n**6 + 0 - 5*n. Find the third derivative of h(o) wrt o.
84
Differentiate 134 + 1844*t**2 - 41*t + 367 + 41*t with respect to t.
3688*t
Let l(s) = -s**4 - s**3 - s - 2. Let o(r) = 1462*r**4 + 5*r**3 - 5*r**2 + 5*r + 81. Let g(b) = -5*l(b) - o(b). Find the third derivative of g(p) wrt p.
-34968*p
Differentiate -4728 + 1193*q**4 + 6298*q**4 - 4878 + 12229 wrt q.
29964*q**3
What is the third derivative of 236*h**2 - 19*h**5 + 431*h**2 - 2*h**2 + 26*h**6 wrt h?
3120*h**3 - 1140*h**2
Suppose -26*c = -7*c - 38. Let z(u) be the third derivative of 0 + 0*u - 13*u**c - 1/6*u**4 - 1/3*u**3. Differentiate z(m) with respect to m.
-4
Let t(d) be the first derivative of 73*d**6/120 - 65*d**3/6 - 19*d**2 + 14. Let i(n) be the second derivative of t(n). Find the first derivative of i(s) wrt s.
219*s**2
Find the second derivative of -139 + 13204*k**2 - k - 15584*k**2 - 7 wrt k.
-4760
Suppose -807 = -3*y - 801. Find the first derivative of -35 + 2*k**3 - 2*k**3 + 60*k**2 - 75 + y*k**3 wrt k.
6*k**2 + 120*k
Let u(
|
{
"pile_set_name": "DM Mathematics"
}
|
-42
d
Which is the third smallest value? (a) -2/3 (b) 0.01 (c) -0.2 (d) 0.134 (e) -1.8495 (f) 1
c
Which is the biggest value? (a) 0.4 (b) -0.07 (c) -23/6 (d) 265 (e) -0.51
d
What is the biggest value in 1/5, 2/11, 2, 341928, -1/10, 5, -3?
341928
What is the third smallest value in -0.2, -5, 2, 2/77, 17, 0.1, 0.57?
2/77
Which is the second smallest value? (a) -153863 (b) -19/11 (c) 0.7
b
What is the smallest value in 1/3, 2/1759, 3, 0.04, -14.4?
-14.4
What is the fourth biggest value in -6/5, 93/5, 2, 1, 112, -0.4?
1
What is the third biggest value in 36, -55, -3, -0.21, 34, 5?
5
What is the third smallest value in 14, 41.54837, -3/5?
41.54837
What is the third smallest value in -5, 2/11, 0.3, 63/74, -0.6, -8/9?
-0.6
Which is the fourth biggest value? (a) 1.9 (b) 2 (c) 1357 (d) 3/23
d
Which is the biggest value? (a) 0.054 (b) 0.4 (c) 63153
c
Which is the third biggest value? (a) -539.35 (b) 0.03 (c) -5/2
a
What is the third smallest value in 180110.8, 0, 0.22?
180110.8
What is the second biggest value in -3, -3/7, 0.4, -11/2, 0.49, 0.9?
0.49
Which is the fifth biggest value? (a) -215833 (b) -12 (c) 5 (d) 13 (e) -2
a
Which is the fourth smallest value? (a) 0.5 (b) -1/173 (c) 3 (d) -878.8 (e) 0.3
a
What is the third biggest value in 15, 1/5, -4, -729383, 8?
1/5
Which is the fourth smallest value? (a) -274 (b) -426 (c) -6 (d) 8
d
What is the fourth biggest value in -0.12, -11667.6, -1, -3?
-11667.6
Which is the biggest value? (a) -12 (b) 3 (c) 137/253 (d) -1 (e) -2
b
Which is the third smallest value? (a) -246 (b) -248.7 (c) 2/3
c
Which is the smallest value? (a) 4 (b) 2998561 (c) 0.3
c
Which is the third smallest value? (a) -2/7 (b) 56/9 (c) -1 (d) -2/11 (e) -60172 (f) 3 (g) 5
a
Which is the third biggest value? (a) 0.12 (b) -22 (c) 2/7 (d) -5/18
d
Which is the biggest value? (a) -1/8 (b) 12 (c) 0.1 (d) -0.3 (e) 17632 (f) 0.2
e
Which is the second biggest value? (a) -3/11 (b) -4891 (c) 142/7
a
Which is the third biggest value? (a) 8/3 (b) 0.805367 (c) -1/7
c
What is the third biggest value in 45277, 3/2, 7, -4/5, 3?
3
Which is the third smallest value? (a) -1.17 (b) 4/5 (c) 22 (d) 58/11
d
What is the biggest value in 9, -2, 1537, 46?
1537
What is the fourth biggest value in -6/71, 0.3, -0.3, 3, -393?
-0.3
What is the third smallest value in 0.7, -0.4, 8, 0.06, 4/2899?
0.06
What is the fourth biggest value in 0.3, 26.27, -32, -2, 0.1, -5?
-2
Which is the biggest value? (a) 2565 (b) -1.8 (c) -289 (d) -0.1
a
Which is the second smallest value? (a) 0 (b) -15.2 (c) 13 (d) -1/7 (e) 4
d
Which is the fourth biggest value? (a) 214874 (b) -9 (c) 9 (d) -1 (e) 0.1
d
Which is the second biggest value? (a) 57 (b) -3.4 (c) -1/3 (d) -0.3 (e) 5
e
Which is the biggest value? (a) 8.76 (b) 0 (c) 864/13
c
What is the smallest value in -2/5, 2/9, -2/7, -2/11, -2982, -1, -21?
-2982
What is the smallest value in 3687.7, 249, -0.09?
-0.09
What is the smallest value in -7.7, -226, -1/3, 0.4, 4?
-226
Which is the fifth smallest value? (a) -2 (b) 15 (c) -0.5 (d) -3/4 (e) -5 (f) 0.01329
f
What is the third smallest value in -1, -0.657, 0.12, -60, 3?
-0.657
Which is the biggest value? (a) 0 (b) 0.409 (c) -4 (d) -2040 (e) 1
e
What is the fourth biggest value in 1, 5, -2/15, -1/5, 13/23391?
-2/15
Which is the third smallest value? (a) -0.3 (b) -2 (c) -3/7 (d) 542 (e) 5/11 (f) 0.5
a
What is the smallest value in -55, -7/4, -1/3, 16, 1, 3?
-55
Which is the second biggest value? (a) 5 (b) 17.58 (c) -1824/5
a
Which is the second biggest value? (a) -2 (b) 15916/99 (c) -12
a
Which is the smallest value? (a) 89/8 (b) -0.3 (c) -0.145
b
Which is the third biggest value? (a) -7 (b) 3 (c) 6381/56 (d) 0.1
d
What is the biggest value in -662, 6, 58, 2/21?
58
Which is the second smallest value? (a) -5 (b) -2/903 (c) 2/66791 (d) -2/3
d
Which is the second smallest value? (a) 22/15 (b) -576 (c) -0.1 (d) 0.1 (e) 42
c
Which is the second biggest value? (a) -0.58 (b) 0.2003 (c) -7 (d) -3 (e) -5
a
Which is the second smallest value? (a) 5 (b) 2/3939175 (c) -4/7 (d) -4
c
Which is the smallest value? (a) 4 (b) -5 (c) -0.02 (d) -18834
d
What is the seventh smallest value in 0.2, 0.4, 0.0223, 0, -28/3, 0.1, -1?
0.4
What is the fifth smallest value in -6, -0.4, -19941, 2/7, -2/7?
2/7
Which is the smallest value? (a) -0.663 (b) -2/5 (c) -5/413 (d) -0.1
a
What is the fourth biggest value in 0.098, 1, -1236, 1/10?
-1236
What is the smallest value in -298, 6, 15, -4, -1/7, -53?
-298
Which is the third smallest value? (a) 5 (b) -3 (c) 175/38 (d) -2/21 (e) -0.7 (f) -2/7 (g) 4
f
What is the smallest value in -9, -59, -111, -4.8?
-111
What is the second smallest value in -0.03, 0.136, 2006?
0.136
Which is the second smallest value? (a) -13 (b) -0.32 (c) 0.407972 (d) 2/9
b
Which is the smallest value? (a) -0.1 (b) 2 (c) 61786 (d) -12
d
What is the fourth smallest value in 4, -0.1, -4, 41, -1/200?
4
What is the smallest value in -1, 9, 6, -0.4, -1/10, -5, 1/19?
-5
Which is the biggest value? (a) 492/11 (b) -38 (c) -1/23
a
Which is the biggest value? (a) 5 (b) 0.2 (c) -1.2 (d) -1/16 (e) 0.5 (f) 0.004
a
What is the second smallest value in -4, -6, -0.0666, -119/5?
-6
Which is the fifth biggest value? (a) -0.4 (b) 68 (c) -0.2 (d) 1/6 (e) 8 (f) 39 (g) 1
d
What is the third smallest value in -0.5, 121959, -20?
121959
What is the third biggest value in 1.1618809, 4, 0?
0
What is the second biggest value in -5, -308091, 4?
-5
What is the fourth smallest value in -4, -6, 340, -0.19, 0.1?
0.1
Which is the third smallest value? (a) -0.007 (b) 3/8 (c) -7.36 (d) -0.1387
a
Which is the third biggest value? (a) -128 (b) 17 (c) 5 (d) 616 (e) 1
c
Which is the second biggest value? (a) 1/44 (b) 0 (c) 0.265 (d) 6 (e) -5 (f) 5 (g) 3
f
What is the third smallest value in -153315, 0.5, 4, -10?
0.5
What is the fourth biggest value in -1, 2/3, 9350, 37, -1/2?
-1/2
Which is the biggest value? (a) 11 (b) -196 (c) -20 (d) 7
a
Which is the fourth biggest value? (a) 2/3 (b) 0 (c) 15 (d) 152 (e) 2/7 (f) -2/21 (g) -2/23
e
Which is the second smallest value? (a) -2/9 (b) 13/1416 (c) -0.232
a
Which is the third biggest value? (a) 5 (b) 0 (c) 0.217 (d) 1.64 (e) 1/8 (f) 1 (g) 0.3
f
What is the smallest value in -134, -1/3, 276, 1, 4/15?
-134
Which is the biggest value? (a) 9 (b) 0.5 (c) -23 (d) -0.04 (e) -5 (f) -10
a
Which is the third smallest value? (a) 5 (b) 295 (c) 11 (d) 8
c
Which is the third biggest value? (a) 15 (b) 24 (c) 1 (d) -3 (e) 0 (f) -4 (g) -168
c
What is the sixth biggest value in 6, 0, 43/184, -4/9, 2/9, 4?
-4/9
What is the third biggest value in 4078.82, -2/7, -37/4?
-37/4
Which is the fifth smallest value? (a) 3/2 (b) 1/490 (c) -1 (d) 0 (e) -19 (f) 3
a
Which is the third smallest value? (a) -2/5 (b) 2 (c) 52 (d) -5 (e) 1.56 (f) -2/7
f
What is the sixth biggest value in -0.35, 3, -2, 2/9, -0.8, -17, -5/7?
-2
What is the seventh smallest value in 0.2, -81, -11, 1/8, 2/23, 0, -3?
0.2
Which is the second biggest value? (a) 502 (b) 735/317 (c) 2
b
What is the fourth biggest value in -2/13, 0, -3, 0.3, 10, -11947, 0.4?
0
Which is the third smallest value? (a) 1/113 (b) 5 (c) -2211 (d) 3 (e) 1 (f) 0.1 (g) -1/2
a
What is the biggest value in 0.52, -2, -73/23?
0.52
Which is the smallest value? (a) 91 (b) -0.5 (c) -2/5 (d) -5 (e) -42375
e
What is the fifth smallest value in 2/5, -5898, -5, 13/5, -18, -1?
2/5
What is the fifth smallest value in -2, -349, -4, -0.5, -0.147, -3?
-0.5
Which is the second biggest value? (a) -9 (b) 0 (c) 8.95 (d) -2/19 (e) 2 (f) 0.065
e
What is the third biggest value in -211, 2623, 1, -1?
-1
Which is the third biggest value? (a) -2 (b) -27/8 (c) 5 (d) -7/79
a
What is the second smallest value in -8, 3576, -2, 252?
-2
What is the fifth biggest value in -264, 1, -0.5, -6, 6?
-264
What is the smallest value in 0.044, -7534/3, -0.3?
-7534/3
What is the sixth smallest value in -5, -2/51, -0.4, 0.5, -3963, 2/7?
0.5
What is the smallest value in -16, -0.1, -1/4, -77/2, 21, 3, 1/25?
-77/2
Which is the second biggest value? (a) 4/3 (b) -0
|
{
"pile_set_name": "DM Mathematics"
}
|
f + 35*f - 5*f + 11*f. Let m(r) = -16*r. Let w(v) = -3*g(v) - 16*m(v). Let u(o) = o**2. Give u(w(d)).
256*d**2
Let j(t) be the third derivative of -t**5/60 + 7*t**2. Let v(c) = 5*c**2. Calculate v(j(u)).
5*u**4
Let a(c) = -c**2 + 6*c + 6. Let d(x) = 2*x**2 - 5*x - 5. Let n(m) = 5*a(m) + 6*d(m). Let h(t) = 124 - 124 + t. Calculate n(h(r)).
7*r**2
Suppose i = -0 + 2. Let x(c) = c**i - c**2 - 2*c**2. Let y(r) be the first derivative of r**2/2 + 1. What is x(y(g))?
-2*g**2
Let m(n) = 9*n**2. Let c(w) = w. Let j(d) = -4*d. Let t(g) = -20*c(g) - 4*j(g). Calculate m(t(u)).
144*u**2
Let w(f) be the second derivative of -1/2*f**3 + 3*f + 0 + 0*f**2. Let x(u) = 4*u**2. Calculate x(w(i)).
36*i**2
Let r(z) = -4*z. Let p(w) be the first derivative of 0*w**2 - 1/3*w**3 + 0*w + 2. What is p(r(q))?
-16*q**2
Let r(s) be the second derivative of s**3/6 - s. Let v(k) = k**3 - 8*k**2 + 7*k + 2. Let l be v(7). Let n(c) = -c**2 + 2*c**2 - 4*c**l. Give r(n(i)).
-3*i**2
Let m(y) = 10*y**2. Let r(v) = 2181*v**2. Give m(r(g)).
47567610*g**4
Let d(r) = -390*r**2. Let k(f) = 5*f**2. Give k(d(i)).
760500*i**4
Let m(l) = 6*l**2 - 5*l + 5. Let z(h) = -h**2 + h - 1. Let v(u) = m(u) + 5*z(u). Let p(j) = -j. Calculate p(v(g)).
-g**2
Let h(z) = z. Let a(k) = 2*k. Let u(r) = -3*r - 6 + 6. Let d(y) = 3*a(y) + u(y). Calculate d(h(p)).
3*p
Suppose -4*q = -2*q + 10, -3*v + 5*q = -13. Let w be ((-3)/v + 0)*4. Let b(u) = -w*u + u + 5*u. Let n(j) = j**2. Give b(n(x)).
3*x**2
Let g(y) = y - 9. Let b(w) = -2. Let x(m) = 9*b(m) - 2*g(m). Let v(f) = 7*f**2. Calculate x(v(a)).
-14*a**2
Let y(c) be the second derivative of c**5/30 + c**2/2 - 4*c. Let p(o) be the first derivative of y(o). Let j(u) = 9*u**2. Give p(j(k)).
162*k**4
Let s(x) be the first derivative of 2*x**3/3 - 20. Let n(g) = 5*g + g - 4*g. What is s(n(t))?
8*t**2
Let p(s) = -213*s - 3*s**2 + 213*s. Let o(v) = 8*v**2. Give o(p(c)).
72*c**4
Let l(w) = 57*w. Let q(n) = -4*n. What is q(l(g))?
-228*g
Let d(x) = -2*x**2. Let r(i) = -37*i**2 - 3*i + 3. Let w(o) = 408*o**2 + 32*o - 32. Let s(h) = 32*r(h) + 3*w(h). What is d(s(p))?
-3200*p**4
Let u(r) = -3*r. Let n(v) = 20*v - 5. What is n(u(i))?
-60*i - 5
Let n(v) = -3*v**2 + 5*v**2 - v**2. Let f(z) be the first derivative of z**2/2 + 4*z + 2. Let u(j) = -j + 1. Let x(w) = -f(w) + 4*u(w). Calculate x(n(h)).
-5*h**2
Let l = -40 - -40. Let p(s) be the second derivative of 0 + l*s**2 + 3*s + 1/3*s**3. Let w(q) = -4*q**2. Calculate w(p(u)).
-16*u**2
Let s(q) = 77*q - 134*q + 75*q. Let t(k) = k. What is s(t(c))?
18*c
Let s(c) = -c**2. Let d(a) = a - 6*a + 17*a + 24*a. Determine d(s(h)).
-36*h**2
Let g(i) = 4*i**2. Let t(s) be the first derivative of 1 - 1/2*s**2 + 0*s. Determine g(t(v)).
4*v**2
Let l(s) = s. Let k be 3*((-11)/(-3) + 3). Let h(d) = k - 20 - 4*d. Give l(h(q)).
-4*q
Let o(y) = -y. Let d(f) = 4*f**2 - 65. Calculate o(d(a)).
-4*a**2 + 65
Let o(f) = -2*f. Let j(s) = -s. Let v(q) = -q**3 - 6*q**2 - q - 7. Let y be v(-6). Let r(x) = y*j(x) + o(x). Let z(n) = -9*n. Determine z(r(b)).
9*b
Let f(n) be the second derivative of -n**4/12 + 3*n. Let o(l) = l - l + l + 0. Calculate o(f(v)).
-v**2
Let c(a) = 5*a**2. Let v = 11 - 5. Let y(l) = -2*l + 5*l + 2*l - v*l. Determine y(c(s)).
-5*s**2
Let r(v) = -3*v. Let x = -5 + 2. Let d be (2 + -1)*-1*x. Let f(u) = 3*u - 2*u - d*u. What is r(f(j))?
6*j
Let t(k) be the third derivative of -k**4/24 + 16*k**2. Let f(q) = 21*q**2. Give t(f(z)).
-21*z**2
Let u(s) = 7*s**2 - 2*s**2 - 4*s**2. Let w(p) be the second derivative of -p**3 - 13*p. Give w(u(j)).
-6*j**2
Let g = 58 + -58. Let a(k) be the third derivative of -2*k**2 + 0 + 0*k**3 - 1/30*k**5 + g*k**4 + 0*k. Let o(b) = -3*b**2. Calculate a(o(n)).
-18*n**4
Let c(y) = -261*y**2. Let q(k) = -3*k**2. Calculate c(q(m)).
-2349*m**4
Let d(k) be the first derivative of -k**3 + 23. Let z(m) = -m**2. Determine d(z(h)).
-3*h**4
Let u(l) = -38*l + 28. Let y(h) = -2*h**2. Determine y(u(o)).
-2888*o**2 + 4256*o - 1568
Let v(s) = 2*s**2 + 3*s. Let n be v(-2). Let i(q) = -3*q**n + 2*q - 2*q. Let f(y) = 3*y. Calculate f(i(l)).
-9*l**2
Let x(i) = 5*i. Let j(o) = 21*o**2 + 9*o. Let f(h) = -11*h**2 - 5*h. Let n(v) = -9*f(v) - 5*j(v). What is n(x(b))?
-150*b**2
Let a(s) = 3 - 3 + 2*s. Let j(m) be the third derivative of m**4/24 + 6*m**2. Determine a(j(y)).
2*y
Let x(q) = 21*q + 27 - 27. Let i(c) = -4*c**2. Calculate i(x(a)).
-1764*a**2
Let z(y) = 4*y. Let b(v) = 5*v. Calculate z(b(c)).
20*c
Let a be (-5)/(-20) + (-2)/8. Let n(z) be the third derivative of 1/12*z**4 + 0*z**3 + a*z + 3*z**2 + 0. Let v(b) = -6*b**2. Calculate v(n(d)).
-24*d**2
Let v(r) = 7*r. Let f(o) be the third derivative of -o**4/8 - 7*o**2. Give v(f(k)).
-21*k
Let g(t) = -3*t**2 - 2*t**2 + 3*t**2. Let z(r) = 29*r**2. Calculate z(g(u)).
116*u**4
Let g(c) be the first derivative of c**2/2 + 4. Let x(h) = -3*h. What is x(g(j))?
-3*j
Let s(r) = 4*r**2. Suppose -14 = -5*w - 4. Let h(x) = 2*x**w - 1 - x**2 + 1. What is h(s(g))?
16*g**4
Let b(l) be the second derivative of l**4/4 + 11*l. Let r(i) be the second derivative of i**3/6 + i. What is b(r(a))?
3*a**2
Let x(p) = p**2. Let q(a) = 2*a**3 - a**3 + 7*a**2 + a - 3 - 2*a. Let f be q(-7). Let d(r) = -f - r + 4. Calculate x(d(s)).
s**2
Let u(i) = i**2 - 7*i - 16. Let q be u(9). Let x(o) = 3*o**2 - 2*o**q - 4*o**2 + 0*o**2. Let c(f) = -f**2 - f**2 + 0*f**2. Determine c(x(z)).
-18*z**4
Let x(z) be the second derivative of z**4/12 - 29*z. Let h(w) = 14*w. Calculate h(x(y)).
14*y**2
Let b(f) = -2*f**2 - 1 + f**2 + 1. Let x(q) = 0*q + 3*q**2 + 0*q - 5*q**2. What is b(x(t))?
-4*t**4
Let h(p) = -325*p**2. Let k(l) = -l. Determine k(h(a)).
325*a**2
Suppose 6*y + 2*s - 42 = y, -5 = -5*s. Let k(l) = -l - y + 8. Let x(h) = -h**2. Determine x(k(n)).
-n**2
Let z(y) = 2*y**2. Suppose q + 2*i - 8 = -3*q, -5*i + 15 = 5*q. Let n be (-4)/2 - (-3 - q). Let g(r) = -2*r**n + 2 - 2 - 6*r**2. Give z(g(t)).
128*t**4
Let h = -3 - -9. Let g(t) = h*t**2 - 5*t + t + 4*t. Let a(z) = z. Calculate g(a(n)).
6*n**2
Let b(a) = -2609*a. Let f(n) = 3*n**2. Give b(f(w)).
-7827*w**2
Let s(w) = 2*w**2. Let f(k) = k**2 + 961*k - 4. Calculate f(s(y)).
4*y**4 + 1922*y**2 - 4
Let j(d) = -310*d. Let z(v) = v. What is j(z(x))?
-310*x
Let j(u) = -13*u. Let l(r) = 9*r**2. Give j(l(i)).
-117*i**2
Let c(b) = 20*b. Let o(a) = 5*a**2. Calculate o(c(v)).
2000*v**2
Let x(p) = -27*p. Let j(t) = -6*t. Let m(z) = z. Let c(g) = 2*j(g) + 14*m(g). Give c(x(h)).
-54*h
Let p(y) = -318*y. Let d(a) = -2*a. What is p(d(x))?
636*x
Let f(t) = -t. Let b(j) = -1429*j**2. Calculate b(f(o)).
-1429*o**2
Let x(m) = -12*m. Let y(c) = 6*c. Let w(t) = 6*t - 11. Let o(v) = -2*v + 4. Let g(k) = 11*o(k) + 4*w(k). Let u(q) = -14*g(q) + 5*y(q). What is u(x(p))?
-24*p
Let w(f) = f. Let s(o) = -896*o. Give s(w(l)).
-896*l
Let f(c) = 7*c**2. Let a(n) = 4 - 4 - 270*n + 275*n. Calculate f(a(p)).
175*p**2
Let a(h) = 2*h**2. Let j = -2 + 2. Let b(l) = l - 5*l + j*l - l. Give a(b(q)).
50*q**2
Let o(l) = l**2 + 12. Let f(t) = 68*t + 67*t + 66*t - 200*t. What is o(f(g))?
g**2 + 12
Let g(q) = 13*q**2. Let n(i) be the third derivative of i**4/8 + 6*i**2. Calculate n(g(d)).
39*d**2
Let u(x) = 2*x**2. Let s(c) be the first derivative of -c**5/30 - c**2 + 2. Let h(y) be the second derivative of s(y). Determine h(u(p)).
-8*p**4
Let f(d) = -5*d**2. Let w(v) = -v**2 - 5*v + 3. Let p(x) = -3*x**2 + x. Let a be p(-1). Let k be w(a). Let l(q) = -k + q + 7. Calculate f(l(y)).
-5*y**2
Let t(z) be the first derivative of z**2/2 - 37. Let r(f) be the first derivative of -3*f**2/2 - 1. Give t(r(g)).
-3*g
Let c(d) = 201*d. Let f(p) = 2*p**2. What is c(f(s))?
402*s**2
Let i(q) = -5*q. Let o = -16 + 19. Let p(h) = 2*h. Let g(j) = o*i(j) + 7*p(j). Let y(m) be the third derivative of -m**4/24 - m**2. Determine y(g(t)).
t
Let r(n) be the first derivative of -7*n**2 - 53. Let h(x) = -4*x. Determine r(h(p)).
56*p
Let n(z) be the third derivative of z**4/24 + z**2. Let j(a) be the second derivative of 0*a**2 + 3*a + 0*a**3 + 0 - 1/6*a**4. Calculate j(n(s)).
-2*s**2
Let a(r) be the second derivative of -47*r**4/12 + 6*r - 4. Let l(x) = -x**2. Determine a(l(s)).
-47*s**4
Let w(d) = -2*d. Let o(v) be the first derivative of 0*v**2 + 0*v + 2/3*v**3 - 3. Calculate o(w(h)).
8*h**2
Let d(j) be the third derivative of j
|
{
"pile_set_name": "DM Mathematics"
}
|
sest to o in 3/8, -0.2, b?
3/8
Let f be (-646)/(-102) + (-8)/6. What is the closest to -1 in -6/11, f, 0.5, 4?
-6/11
Let z = -2/1047 - -2152/30363. What is the nearest to -7 in -2, z, -4/5, 5?
-2
Let x = -16059686/20349 + 49729/63. Let a = x - -2/323. Suppose 4*d = -d - 25. What is the nearest to a in d, 0.4, 0.1?
0.1
Let u = 64.028 + -64. Let x = u - -1.972. What is the closest to x in 1, 0.2, 0.09?
1
Suppose 5*l + 10 = 5*t, t + 21 - 3 = -3*l. Let m be l/((-210)/16) - (-2)/(-3). Let s = 1389/7 + -199. Which is the closest to -2/7? (a) -0.4 (b) s (c) m
c
Let p(b) = 11*b + 26. Let k be p(-2). What is the nearest to 0 in 13, -3/4, k, 3?
-3/4
Let n = 4.1 + 30.9. Let d = -36 + n. What is the nearest to 1 in d, -4/5, 0.1?
0.1
Suppose 2*b = 5*b + 33. Let h = b + 34/3. What is the closest to h in -0.4, 5, -3?
-0.4
Let i be (2/(-4))/((-3)/(-6)). Suppose -5 = g - 4. Let t be 14/6 - (-3)/g. Which is the closest to 1? (a) i (b) 0.5 (c) t
b
Let n = -0.7 - -0.3. Let d(m) be the second derivative of m**4/12 - m**3/2 - 3*m**2 + 2*m. Let x be d(5). Which is the closest to -1? (a) x (b) n (c) 2/3
b
Let a = 2.0478 + -0.1478. Let q = 44 + -41.9. Let l = a - q. What is the closest to l in 4, 3/4, -0.1?
-0.1
Let q = -19/42 - -1/6. Let n = 0.3 + -0.1. Let v = -7 - -29/4. Which is the nearest to n? (a) -0.2 (b) v (c) q
b
Suppose 2*d + 2 + 2 = 0. Let f = 141 - 140. What is the closest to 0.2 in 0, d, f?
0
Let n = 3.5 + -3.34. Let t = n - 1.16. What is the nearest to -1 in 1, 0, t?
t
Let g = -105 + 106. Which is the closest to -1/5? (a) 1/2 (b) g (c) -3
a
Let i be (1/18)/(4/(-16)). Let r = 0.575 - 0.065. Let k = r - 1.01. Which is the nearest to i? (a) -3 (b) k (c) 3/2
b
Let s = 4337 + -4336. Let p = -4.7 + 5. Which is the nearest to s? (a) -5 (b) -0.4 (c) p
c
Let q = 127 + -122. Which is the nearest to 0.07? (a) 3/8 (b) 1/7 (c) q
b
Let y be (1/3 + 1)*(-65)/52. Which is the nearest to -1? (a) 5 (b) -1/31 (c) y
c
Let v = 51959/7 - 7423. Let n = 1.2 + -1. What is the nearest to n in -1/6, 3/5, v?
-1/6
Let m = 3743/5 + -749. Which is the nearest to 0.2? (a) m (b) -1 (c) -0.5 (d) 6
a
Let d = -13 + 23. Let p = d - 9.7. Let y = 31 - 29. Which is the nearest to y? (a) -0.4 (b) p (c) -5
b
Let x = 2.9 - 3. Let j = 0 - x. Let d = -4 - -1. What is the nearest to -1 in j, 0.4, d?
j
Let m = 15.5 - 16. Let p(x) = 19*x**2 - 2*x - 1. Let d be p(-1). Let i = 62/3 - d. Which is the closest to -2/7? (a) m (b) i (c) 2
a
Let c = -1.282 + 1.382. What is the nearest to c in -0.1, 4, -52/3?
-0.1
Suppose 5*u = -7*p + 9*p - 7, 6 = 2*u - 3*p. Let h = 9 + -9. Which is the closest to 2? (a) h (b) u (c) -5
a
Let w = 371 + -371.2. What is the nearest to w in -0.1, -3, -1, -1.5?
-0.1
Let o = -1375 + 9627/7. Let w = -434 - -1321/3. Which is the nearest to o? (a) -0.1 (b) w (c) 0.3
c
Let l = -338/55 - -72/11. Which is the nearest to l? (a) 2/5 (b) 0 (c) 0.077
a
Let p = -30 - -34. Let y be (-4)/(12/9) + p. Which is the closest to -2/5? (a) 3 (b) -3 (c) y
c
Let l = -0.4 - -0.32. Let g = l - -0.08. Which is the nearest to g? (a) 0.1 (b) 1/3 (c) -5
a
Let y be 56/30 + (-4)/2. Let r = -205 - -214. Which is the closest to 0? (a) -5 (b) r (c) y
c
Let l be 1/(-3)*(-5 - -4). Suppose 4*y + 95 = 19. Let c = y + 19. What is the nearest to 1 in -2/3, c, l?
l
Let q = 73.74 - 73. Let s = 0.34 - q. What is the closest to -1 in s, 2, -0.1?
s
Let g = -6 + 0. Let f = -20.1 - -19.8. What is the nearest to g in 1, -2, f?
-2
Let u be 0 + 8/(-54)*-3. Let g = 1/55 - -4/55. Which is the nearest to 0.1? (a) g (b) u (c) -1/4
a
Suppose -2*s + 7 - 14 = 3*u, -s = -3*u + 8. What is the nearest to u in 4, 1, -5, -3/4?
1
Let g = 0 - -0.1. Let x = -0.6 - -2.6. Let v = -148 + 148.5. What is the closest to 0 in v, g, x?
g
Let y = 1049 + -1054. Which is the nearest to -4? (a) y (b) -1/6 (c) -0.6
a
Suppose -4*n + 5*p + 225 = 0, p = 5*n + 31 - 307. Which is the closest to n? (a) -0.5 (b) 2 (c) 1/3
b
Let d be -4 + 16 + (2 - 3). Let w(u) = u**2 - 11*u - 4. Let a be w(d). What is the nearest to 0 in 2, 6, a?
2
Let v = 1 + -26. Let o = 25.2 + v. What is the closest to 0 in -6, o, 1?
o
Let v = 4/11 + -90/187. What is the closest to 2/41 in v, 2, 1/4?
v
Let o = 9/34 - -4/17. Let j = 10.08 + -0.08. Let b = j + -8. What is the closest to o in 3, b, 4?
b
Let t = 1333 - 1333.1. Which is the nearest to t? (a) -5 (b) 2 (c) 0.5
c
Let x = 3.1 - 3. Let u = 6.2 + -6.99. Let g = 0.49 + u. What is the nearest to x in g, 0.2, -4/3?
0.2
Let i = -4/7 - -1. Which is the nearest to 1? (a) 0.6 (b) -5 (c) i
a
Suppose 120 = -9*u + 13*u. Let j be u/50 - (4/(-5))/(-2). What is the nearest to -1 in -2/3, 5/3, j?
-2/3
Let m = 217 + -220. What is the nearest to -2/7 in m, 1/2, 3/7?
3/7
Let q = 56 + -60. Let y be q/12 - 6/9. Let u = -0.4 - -4.4. Which is the closest to -1? (a) 1 (b) y (c) u
b
Let t be (-4)/5 + 0/1. Let q = -22.6 + 22.7. What is the nearest to 1 in 0, q, t?
q
Let c = 209/535 + 1/107. Let v(u) = u**3 + 7*u**2 + 5*u - 4. Let n be v(-6). Let d be 1*(-4)/14*n. What is the nearest to -1 in -0.2, c, d?
d
Let p = -958.2 + 958. What is the nearest to 8 in p, 0.5, 5/3, -4?
5/3
Let u = 0.4 + 4.6. Let x = 0.174 + -0.074. What is the nearest to 6 in x, u, -2/11?
u
Let d = -97.7 + 4.7. Let z = d + 97. Let s = 0.4 - 0.3. What is the closest to s in -1/2, -0.1, z?
-0.1
Let y = -0.093 - -0.493. Let k(g) = -2*g**2 + 3*g. Let f be k(2). What is the nearest to -1 in y, f, -1?
-1
Let o be 20/4*-2 - (-3)/(-3). Let x = o + 10. Which is the closest to x? (a) -4 (b) -2 (c) -3
b
Let s(n) = -n**3 - 3*n**2 - 9*n - 6. Let q be s(-1). Which is the closest to q? (a) 0.4 (b) 15 (c) 2/9 (d) 0.1
a
Let r = 20 - 17. What is the nearest to -0.1 in 0.1, -0.15, r, -1?
-0.15
Let u = 34 + 24. Let g = -55 + u. Which is the nearest to 0.1? (a) 1.1 (b) -1 (c) g
a
Let h = -25.012 - -25. Let k = 0.412 + h. Which is the nearest to -1/4? (a) 4 (b) -2 (c) k
c
Let j = 252 + -256. Let i = -2.99 + -0.01. What is the closest to 0 in -0.4, j, i?
-0.4
Let x = -13 - -15.6. Let l = 0.6 - x. Let u = 4/117 + 16/39. What is the nearest to 0.2 in l, -3, u?
u
Let b = -46.039 - -0.039. Let k = b - -44. Let s = -176/15 + 34/3. What is the closest to -4 in 5, k, s?
k
Let y = -34 - -56.5. Let r = y - 25. Let o = r - -2.4. Which is the closest to o? (a) -0.4 (b) -0.9 (c) 2/9
a
Let p be (4/10)/(12/15) - 2. What is the nearest to -3/4 in 1/2, 3, -0.2, p?
-0.2
Let z = 1.98 - 1.52. Which is the closest to 1? (a) 5 (b) 5/2 (c) z (d) -2
c
Let u = 580 - 582. Which is the nearest to u? (a) 2/3 (b) -0.5 (c) -0.14 (d) -10
b
Let r be (-1)/(-2)*4/(-10). Let j(d) = -2*d**3 - d**2 - 20*d + 21. Let v be j(1). What is the nearest to 5 in v, r, -5?
r
Let j be (-74)/14 + (0 + 4 - -1). What is the nearest to 1.4 in 3, j, -1/6?
-1/6
Let l = -7.09 + 0.09. Let v = l - -7. Let p = -0.1 + 0.2. What is the closest to p in -4, v, 0.5?
v
Let h be (-112)/18 - (-34 + 28). What is the nearest to 6 in -4, 3, h, 2?
3
Suppose 0 = -157*p + 152*p - 10. What is the nearest to -0.1 in -5, p, 3/10, -0.2?
-0.2
Let f be (-7)/((-14)/(-10)) + 0. Which is the nearest to -2/17? (a) f (b) 0.3 (c) -2/5
c
Let q = -2.54 - -3.54. Which is the nearest to 0.1? (a) 4 (b) q (c) 10
b
Let x be -11 + (-9 - (-201)/10). Which is the closest to x? (a) -0.5 (b) 0 (c) -8
b
Let t = -43 + 73. Let y = -30.2 + t. Let i be 8/(-114)*(-3)/2. Which is the nearest to -0.1? (a) y (b) -2/13 (c) i
b
Let h = 2.465 + -1.465. What is the closest to 7 in h, 0, -4, -0.4?
h
Let f be 35/(-15) + 2*1. Let s = -496 + 496.5. Suppose -2*i + 13 = 4*x + i, -x + 5*i - 14 = 0. Which is the nearest to x? (a) s (b) -1 (c) f
a
Let m = -359 - -359. What is the nearest to m in -1/10, 0.3, 13/5, 5?
-1/10
Let l = 918 - 917.8. Which is the closest to 1? (a) -0.2 (b) l (c) 1/2 (d) -6/11
c
Let p = -3.6 + 6.3. Let r = -0.09 - 2.91. Let a = p + r. What is the closest to 5 in a, 0.1, -3?
0.1
Let m = 36 - 15. Let d = -26 + m. What is the nearest to -7 in 0, 4, d?
d
Suppose -4*s = -3*o - 80, -5*s + 2*o = -0*o - 93. Let h = 107 + -104. Suppose -s + 5 = h*y + 3*p, 4*y = 4*p + 16. What is the nearest to y in 1, -3, -0.2?
-0.2
Let n(p) = -6*p - 4. Let z be n(6). Let t = z + 48. Let r be (-17)/36 - (-2)/t. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
6*q**3 + 3*q**2 + 5*q. Let j(s) = -3*d(s) + 2*x(s). Let i be j(-5). Round i to the nearest one million.
-15000000
Let l = -7.49685 + 7.5. Round l to four dps.
0.0032
Let n = 11.4 - 2.4. Let o = n + -9.00046. What is o rounded to 4 dps?
-0.0005
Let b = 233.2705 - 232.8. Let p = 17 - 17.48. Let d = p + b. What is d rounded to 3 dps?
-0.01
Let s(x) = 7073*x**2 - 5*x - 14. Let n be s(-10). Let b = n - 317336. Round b to the nearest 100000.
400000
Let t be 19644/15 + (-12)/20. Suppose -3*h + 341 = -t. Round h to the nearest 100.
600
Let z = -61 - 154. What is z rounded to the nearest ten?
-220
Let g = -1208151 - -808151. What is g rounded to the nearest 1000000?
0
Let p = -0.1 + 0.02. Let c = p - -0.5. Let b = c + 0.63. What is b rounded to 1 dp?
1.1
Suppose 0 = -5*w + 4*w - 5. Let v = -5 - w. Suppose v*x = -3*x + 153000. Round x to the nearest 10000.
50000
Let w = 25.5 - 79. Round w to the nearest 10.
-50
Let w = -900 - -900.00399. What is w rounded to 4 dps?
0.004
Suppose 3*j + 3 = 4*v, -2*j + 0*j = -5*v + 9. Suppose -v*a = -3*o + 6*o + 60000012, -3*a - 12 = 0. What is o rounded to the nearest 1000000?
-20000000
Let k = 35 + -34.99998. What is k rounded to 6 dps?
0.00002
Let n = 3.97 - 0.17. Let z = 19.7 - n. Let q = z - 9. What is q rounded to zero dps?
7
Let i = -1722 - -1706.000044. Let r = i - -16. Round r to 5 decimal places.
0.00004
Let q = 6 - 14. Let k = -15 - q. Let x = 7.0000043 + k. What is x rounded to six decimal places?
0.000004
Let u = -1.399992 + 1.4. Round u to five decimal places.
0.00001
Let j = -140699.8 - -161145. Let b = 20454.19992 - j. Let t = b + -9. Round t to four dps.
-0.0001
Suppose -29449239 = 4*m - 2*u + 26950753, 5*u + 56400020 = -4*m. What is m rounded to the nearest one million?
-14000000
Let g = 1421.07 + -1357.8. Let p = g - 63. What is p rounded to one dp?
0.3
Let i = -15 + 14.9. Let o = -489711 - -489710.9000013. Let n = i - o. What is n rounded to six dps?
-0.000001
Let m = 40 + -39.54. Let t = -0.06 + m. Let z = -0.3996 + t. Round z to 3 decimal places.
0
Let k = 17 + -10. Suppose -5*c - j + k = -c, 4*j = -4. Suppose 350 = c*q + 2410. What is q rounded to the nearest one hundred?
-1000
Let i = 0.27 - -0.11. What is i rounded to 1 dp?
0.4
Let q(c) = -2*c - 2. Let z be q(-1). Let t be (332000/(-4) - z) + 0. Round t to the nearest ten thousand.
-80000
Let s = 11 + -2.9. Let m = 5 + -5.3. Let i = m + s. Round i to 0 decimal places.
8
Let g(w) = -w**2 - 4*w + 4. Let s be g(-4). Suppose -s*m - m = 90. Let u be m/12 + (-32003)/(-2). Round u to the nearest ten thousand.
20000
Let u = -575.98 - -581. Let v = u + -4.4. What is v rounded to one dp?
0.6
Let p = 10 + -9. Let g be p + -1*(-2139999 + 0). Round g to the nearest one hundred thousand.
2100000
Let f = -17 - -22. Suppose -f*p - 20 = 0, 115996 = 4*r + p - 0*p. What is r rounded to the nearest ten thousand?
30000
Let u = -327 + 525. Suppose -j = r + 85, -j + 5*r = j + u. Round j to the nearest ten.
-90
Let a(k) = -10*k**2 + 6*k - 7. Let q be a(-6). What is q rounded to the nearest 100?
-400
Let y be (-447)/(-6)*52/1. Suppose 0 = 6*h - 4*h - y. Suppose -w + h = 7237. What is w rounded to the nearest 1000?
-5000
Let z = -0.13235413 - 0.04664474. Let s = 442 - 441.821. Let y = s + z. What is y rounded to seven decimal places?
0.0000011
Let d = -9.28 + -0.52. What is d rounded to the nearest integer?
-10
Suppose 3*p - 247 - 293 = 0. What is p rounded to the nearest one hundred?
200
Let j = 0.096049 + 87261.903951. Let n = -87258.70026 + j. Let y = n - 3.3. Round y to 4 dps.
-0.0003
Let j = -22.29 - -118.76. Let f = -233 - -137. Let k = j + f. Round k to one dp.
0.5
Let n = 0.76951 + -0.77. What is n rounded to 5 decimal places?
-0.00049
Let y = 2 - -3. Suppose 4*f = -5*a - 27213, y*f + a + 0*a = -34011. Let b = 1302 + f. Round b to the nearest one thousand.
-6000
Let s = 0.07274 - 0.071. What is s rounded to 4 dps?
0.0017
Let g = 0 + 3. Let n(c) = 44334*c**2 - c + 3. Let r be n(g). Suppose -5*i - 665003 = -k, k - r = 3*i - k. What is i rounded to the nearest ten thousand?
-130000
Let k = -92.4 + 82. What is k rounded to the nearest 10?
-10
Let l = 48 + -47.9954. What is l rounded to three decimal places?
0.005
Let g = -10 + 4. Let b be g/(-2)*-1*1. Let j be 7000002 + (-6)/(-9)*b. Round j to the nearest 1000000.
7000000
Let b = -16.13 - -16. Let p = 0.12999978 + b. What is p rounded to seven decimal places?
-0.0000002
Let z = 104 + -104.098. Let g = z - -10.998. Round g to the nearest integer.
11
Let i = 0.9 + -0.62. Let k = -0.2800057 + i. What is k rounded to six decimal places?
-0.000006
Let g = 1.8 + -5. Let x = g - -3. Let l = -0.4 - x. What is l rounded to the nearest integer?
0
Let m = 136 - 130.1. What is m rounded to the nearest 10?
10
Let f = -2 - -3.3. Let s = -1.39 + f. What is s rounded to 1 decimal place?
-0.1
Let j = 26.29999861 + -26.3. What is j rounded to seven dps?
-0.0000014
Let d = -31.7 + 33. Let m = -1.300007 + d. Round m to five decimal places.
-0.00001
Let o(y) = -29500*y. Suppose -6 = -3*s + 6. Suppose 5*n = -3*g - 31, s*n + 15 = 2*g - 1. Let j be o(g). What is j rounded to the nearest 10000?
60000
Let m = -0.08 + -8.32. Round m to zero decimal places.
-8
Let x = 24 - 40. Let n = 16.037 + x. Round n to two decimal places.
0.04
Let w = -975422 - -3965610. Let m = 600188 - w. What is m rounded to the nearest one hundred thousand?
-2400000
Let p = 341.663 - 382.66376. Let l = -41 - p. Round l to four dps.
0.0008
Let s = 18 - 14.9. Round s to one dp.
3.1
Let t = 358 - 358.0231. What is t rounded to 3 dps?
-0.023
Suppose -l = 4*l - 25. Let k be 4/l*5/2. Suppose k*y + 144000 = 4*y. Round y to the nearest 10000.
70000
Let k be (24/(-20))/((-4)/10). Suppose k*i - 17180 = -2*i. Suppose -3*m = -i + 36436. What is m rounded to the nearest 10000?
-10000
Let u = -42 - -42.000292. Round u to five dps.
0.00029
Let o(m) be the second derivative of 133*m**3/2 - 7*m**2/2 + 2*m. Let j be o(8). Let g = j - -7115. What is g rounded to the nearest one thousand?
10000
Suppose 0 = -6*r + r - 12700. Round r to the nearest 100.
-2500
Suppose 7*q = 328354 - 6354. What is q rounded to the nearest ten thousand?
50000
Let o = 1.14 + -1.13999986. Round o to 7 decimal places.
0.0000001
Let j = -5 + 4.92. Let x = 4525.6 - 4525.680028. Let r = x - j. What is r rounded to five decimal places?
-0.00003
Suppose 5*h = 3*r + 2265811, -r + 4*r + 2*h = -2265818. Let j = 1855272 + r. Round j to the nearest one million.
1000000
Let m = 0.99999888 + -1. What is m rounded to seven decimal places?
-0.0000011
Let f(d) = 1571*d**2 - 8*d - 3. Let h = -29 - -40. Let i be f(h). What is i rounded to the nearest 100000?
200000
Let t(a) = 559 + 714 - 2971025*a - 6448. Let j(y) = 2296*y + 4. Let g(c) = 5175*j(c) + 4*t(c). Let r be g(4). Round r to the nearest one thousand.
-9000
Let q be -720001 + (0 - 3) + 4. Round q to the nearest 100000.
-700000
Let n be 100520/15 + 8/(-6). What is n rounded to the nearest one thousand?
7000
Let l = -6.8937 + 6.9. What is l rounded to 3 dps?
0.006
Let n be 0/(-1 - 3/3) + 6990. What is n rounded to the nearest one thousand?
7000
Let i = 2 + -4. Let c = 7490215.00000024 - 7490213. Let k = c + i. What is k rounded to 7 dps?
0.0000002
Let g = 167713253.99999999 - 167713261. Let b = 7.08 - 0.08. Let x = b + g. Round x to 7 decimal places.
0
Let f = -4819 + 4818.89983. Let y = f - -0.1. Round y to four decimal places.
-0.0002
Let z be (-2715)/(-10)*(-4)/(-6). What is z rounded to the nearest ten?
180
Let q = -4 - -4.3. Let z = -0.264 + q. Round z to 2 dps.
0.04
Let k = 0.2 - 14.2. Let t = -13.9993 - k. What is t rounded to three dps?
0.001
Let v = -11 + 28. Suppose 5*b + 7 - v = 0. Suppose -s - 350 = -b*s. Round s to the nearest one hundred.
400
Let g = 196048 + 68952. Suppose -9*x = -14*x + g. Round x to the nearest ten thousand.
50000
Let w = 44.2 - 30. What is w rounded to 0 dps?
14
Let y = 5667831 - 5667822.000042. Let c = 9 - y. Round c to five decimal places.
0.00004
Let q(t) = 1107*t**2 - 7*t - 7. Let l be q(-7). Let y = l + -93285. What is y rounded to the nearest 10000?
-40000
Let x = -477.49 + 477.739803. Let f = 0.25 - x. Round f to 5 dps.
0.0002
Let o = -27.4 + -37. Round o to the nearest ten.
-60
Let z = -111023 + 11023. Round z to the nearest 100
|
{
"pile_set_name": "DM Mathematics"
}
|
6
18/(-4)*2774/312075
-1/25
Calculate 204/16*1*56020/(-8403).
-85
Calculate -93 + 81 - (-5 - (-2535)/(-360)).
1/24
(18 + -13 - ((-23 - -16) + -8)) + -133
-113
Calculate -1*12/1 - 649/59*2204/836.
-41
What is the value of -60 + ((-1615152)/(-342))/92?
-26/3
(-9191)/(-143) + ((-12789)/(-539) - 24)
64
Calculate (-1)/1*-9 + 752/14 + (-680)/(-2380).
63
Calculate (6/(-4))/(451/((-7739160)/(-2925))).
-44/5
Evaluate (6952/792)/((-113)/(-1017)).
79
Evaluate (512/896)/((-31)/3472).
-64
Calculate (-69)/529 + 11 + (-14976)/(-552).
38
Evaluate (-96)/10 - (-3380650)/22750.
139
((-117)/(-65))/((-3)/(-20)) + (-60)/(-350)*-135
-78/7
What is (245/(-2450))/((-10)/(-20))?
-1/5
(991857/(-556832))/(3/(-8))
19/4
Evaluate 668/4175*-25*(-110)/(-4).
-110
2/11 + ((-751296)/154)/(-52)
94
Calculate ((-18)/(-57))/1 - (-26856)/(-623656).
3/11
Calculate (4 + (-364)/90)/(25/((-3000)/96)).
1/18
(-36)/(-63)*(191520/585)/76
32/13
What is the value of 6 + ((-160)/16 - (-33 + 0 + (-16)/16))?
30
What is (-69 - -1)/((-560)/(-280))?
-34
Calculate 17 - (3698/215 + (-68)/20 + 5).
-9/5
What is the value of 24/(-18) - 42200/(-1266)?
32
What is 1/(-10) + (-63765)/5850 - -13?
2
What is 33488/(-897) + (94 - 38)?
56/3
(50 - -2)/(225/150 + (-75)/10)
-26/3
What is 130/(-15) + 11 - 474/(-90)?
38/5
Evaluate (((-3)/5)/(2241/3735))/(-89).
1/89
What is (28/(-18))/(-7) - (850/18 + -17)?
-30
(-532)/(-912)*165/77 - (597/(-12) - 1)
52
Evaluate 24/80 + 125/(-750).
2/15
Calculate 33 + (2 + (-36)/54)*(-3)/(-2).
35
Calculate ((-77)/132)/((-3)/594*-63).
-11/6
Calculate (-11 + -22 + 1582/48)/(-3).
1/72
104*2265/604*9/27
130
What is ((58 - 5) + -50)/(6/80)?
40
Evaluate ((-41)/(-82))/(550/88).
2/25
What is 350/11375 + (-135778)/1885?
-72
Evaluate (-48)/(-59280)*38*15/18.
1/39
Evaluate 226/(-11) - (-3294)/6039.
-20
Calculate (-122994)/348483*17/(-2).
3
Evaluate (-3080)/2772*(-288)/(-10).
-32
What is the value of (1/(-6))/(-12*(-5)/(-5220)*(-15)/(-60))?
58
Evaluate 46 + (1960/(-60) + 34)*9/1.
58
5076/470*20/4 - 21
33
Evaluate -495 + 476 + -19 + -3.
-41
Evaluate ((-44748)/(-1496))/3 - 10.
-1/34
Evaluate 32 - (45036/(-594) - -108).
-2/11
What is the value of (6/(-28) + 81666/1201956)*3/9?
-2/41
What is ((-27)/(-36) + 9 + -12)*110/132?
-15/8
((-32571)/(-1050) - 31)/((-24)/(-80))
1/15
((-28)/532)/((-1)/(88 - 12))
4
Evaluate 48916/(-700) + (-30)/250.
-70
What is 2508/(-56) + (-91)/26 + (-5)/7?
-49
-25 - (-16 - (-14 - (-1 + -8))) - 45
-59
What is (22451/(-9420) + (-3)/(-60))*(-1)/63?
1/27
What is the value of 3740/(-44) + 98 + (-23)/(-1)?
36
2445282/226415*10/36*8
24
What is the value of 52/(-910) + (-49130)/77350?
-9/13
Calculate ((-9)/(-45))/((-222)/(-37740)).
34
31/(3038/(-147))*(13/65 - 2/(-30))
-2/5
What is (7*4/(-28))/((-6)/(-8)*(-602)/129)?
2/7
What is the value of -3*4*8778/418*1/(-14)?
18
What is the value of 40/2400*-20*6?
-2
What is (9/(-81))/(925/(-3225)) - (-2)/(-6)?
2/37
What is 3*(-26)/195*290*((-12)/(-8) + -2)?
58
Calculate (-2 + (-328)/(-410))/(4*84/320).
-8/7
Evaluate (0 + 15)*(-60)/(-250)*1350/108.
45
Evaluate (-567)/68 + (-99462)/(-12056).
-3/34
What is -9 + 0 + -2 + 128 + -118 + 9/(-3)?
-4
(-12 + 9)*129/2709
-1/7
(0 - 198)/((-76372)/(-488) + -155)
-132
What is (26 + 1426/(-69))/(-1 - (-4)/12) + -81?
-89
-11 - -1941*(1772/354 + (-480)/96)
-2/59
What is 12/(3/(-15)*-36*21/(-189))?
-15
Evaluate (-62756)/(-5410)*15/(-6).
-29
Calculate -4*2/(-16) - (-8745)/(-15900).
-1/20
What is (-665 - -648)*1*(-1 + 3)?
-34
What is (4592/(-64) + 21)*(-848)/(-742)?
-58
((-130)/4)/((-28085)/(-67404))
-78
What is (23 + -26)/(9/(20/240 + (-410)/24))?
17/3
What is the value of (11/4 - 3) + (-486)/21384?
-3/11
What is the value of ((-18)/174*9541/1974)/(2/(-204))?
51
Evaluate 64/18*(3080/50 + -62 - (-62)/80).
4/3
((-1)/(-2))/(59/((-169920)/1464) + (-1)/(-2))
-60
Calculate (-1 + 2)/((-4)/(-420)*(-183)/122).
-70
What is the value of (-108438)/69006 - 290/(-238)?
-6/17
What is the value of 7 - 1/((508/33782)/((-27)/14 - -2))?
9/4
Evaluate (-356)/8*(-502)/753 + -27.
8/3
-61 - ((-6 - 26) + 12)
-41
Evaluate 8/(-6) + 20/(-12) + -1079*13/169.
-86
Calculate ((-80)/(-30))/((-403)/12090).
-80
What is 2270/(-175) + -55 + 0 + 68?
1/35
((-12)/13)/((-152)/(-1482)*((-99)/6)/1)
6/11
What is (-42)/62*102951/(-9963)?
7
What is the value of 10922/(-49149) - (1 + (-644)/(-18))?
-37
Calculate (-72)/30 + (-1963)/5070*-6.
-1/13
What is (-136)/(-408) - (4/(-6) - 2) - (48 - 1)?
-44
What is (-56)/(((-98)/4)/(3518/7036))?
8/7
What is 88 - 10/(-8)*6*1120/(-600)?
74
49 + (-26 - (150 - 92))
-35
Calculate 328/(-20)*(-63085)/20646 - 20/54*3.
49
Evaluate (-9440)/280 + 34 - 11298/(-98)*-1.
-115
Calculate 8/(-112)*(5808/(-32) + -4).
53/4
Calculate ((-979)/44 - 13) + (-7)/((-56)/10).
-34
What is the value of -62 + -25 + (12 - -123)?
48
What is the value of (2 - 330)*(3481/472)/59?
-41
Calculate (-132)/308 - 1116/(-7161).
-3/11
What is the value of (2/(-100))/(10/175)*2 - 636/(-1272)?
-1/5
543 + -574 - 1252/(-44)
-28/11
Evaluate 361/171*6 + (2 + -4 - 9).
5/3
What is (17007 - 16988)*(22/10 + -2)?
19/5
Evaluate (-75)/(-10)*6/7*(11152/(-306) - -38).
10
Calculate (-220)/(-11) - 7 - (-40 - -43) - -18.
28
What is the value of (-10)/4*135/(37800/7168)?
-64
What is (-4)/((1/(-3))/(4/36) + (-675)/(-270))?
8
What is the value of (3 + -1)/((-136)/2652 + 8/(-5928))?
-38
63 - (97 + -38) - (-2 + -11 + 0)
17
Calculate (((-39)/13)/6)/((15 + -18)/(-354)).
-59
What is the value of (-82)/(-3485)*1265 - 30?
-4/17
Evaluate 5/23 - 236638/(-30406).
8
What is (2708/88 - 588/2156) + 3/6*-1?
30
Calculate (13 - (-26 + 35))*((-3)/12 + (-66)/(-248)).
2/31
What is 22/6270*(93 + -78)?
1/19
What is 15141/(-2163) + (-90)/(-16)?
-11/8
What is ((-1107)/14760)/((-15)/(-2))?
-1/100
What is (-9335)/115 - (489 + -570)?
-4/23
Calculate (59/(-531))/(110/(-99)).
1/10
What is the value of 12 + ((-21)/(18921/(-4471)) - 17)?
-2/53
Calculate (-1 - -7) + 6888/(-1353).
10/11
(-2)/68 - (-64637)/2883166
-1/143
What is the value of (9744/(-280))/(3/5) - -9?
-49
((-2021)/141 + 20)*(-3)/2*2
-17
Calculate 79152/1071 - (-10)/(-105)*-1 - 1*5.
69
(337266/5484 + 1 + 7)*2
139
Evaluate ((-7020)/(-185640))/(3/7).
3/34
What is 35 + -15 - (288/9 - 16)?
4
What is (-1564)/187 - -10 - (-3052)/(-77)?
-38
Evaluate (56/(-140))/(840/225).
-3/28
What is the value of (-5)/(-15*(16/(-128) + 8/192))?
-4
What is (63 - 1382/22)/(6*5/55)?
1/3
Calculate 21/(546/(-611)) + (33 - 12).
-5/2
What is the value of ((-26)/(-26))/(4208/32)?
2/263
What is the value of 3/15*(-284)/99 - (-26425)/47565?
-1/55
Evaluate ((-40 + 7241/182)/(18/(-14)))/((-27)/6).
-1/27
What is 1436/(-5744) - ((-4)/(-2) - 2*(-973)/56)?
-37
What is (16 - 16 - (-2)/3)/((-1232)/(-3234))?
7/4
Calculate 114 - (3268/602 - -103).
39/7
What is 19/(-1) + (-742)/(-265) + 17?
4/5
Calculate (462/(-120))/7 + 139/(-556).
-4/5
Evaluate (58 - 72) + 17800/556 + -4 - 14.
2/139
What is the value of ((-240)/46)/(17400/(-667) + 26)?
60
What is (-143)/1 + (-979 - -1036)?
-86
What is (-294)/(-35)*-38*40/(-532)?
24
Calculate (114/(-5))/((-1105)/425 - -3).
-57
What is -16 - ((-26 - (-31 + 21)) + 1*-65)?
65
What is the value of (3 - 4)*(59*(-3)/(-1947))/(-2 - -1)?
1/11
674*3/(-22) + (354 + -362)*(-2)/(-176)
-92
Calculate (48/(-168))/(915/3843).
-6/5
Evaluate ((-34)/(-16))/(318/2544).
17
636/(-387) - (-23 + 6 + (-1196)/(-78))
1/43
Evaluate (-442)/51*3 - (-5 - 15) - -1.
-5
Evaluate 45/((-15345)/31) + 191/(-77).
-18/7
Calculate (-53957)/114744 + -4 + 86/21.
-3/8
What is the value of (4/42)/(508/31623) + 2/28?
6
10008/(-3753)*(34/8 + 4)
-22
(0 - 5)*(1836/270 + -4)/(5/(-5))
14
What is the value of 1*2/11 - (-47040)/(-2016)*(-15)/11?
32
Calculate (-19)/((-3192)/1512) + 2/(-4) + (-100)/(-8).
21
Calculate 12096/(-405240) + (-25)/((-28875)/42).
2/307
56 - (-10905)/(-150) - (-15 - 2)
3/10
Evaluate (11 - (319/10 - 9) - -11)/(6/8).
-6/5
Evaluate -76 - (-93 + 91 + 7).
-81
What is 5/(65/(-39)) - 1 - ((-11196)/(-1248) + -13)?
3/104
What is 25/(-75)*105*(-22)/110?
7
34 + 36/(-14)*(-45 - -38)
52
Calculate 24/81*((-3410)/2420 + 2/(-22)).
-4/9
Evaluate (-16)/6 - 210/(-7)*(-10 + (-714)/(-70)).
10/3
Evaluate 700*(-184)/(-14720)*(-32)/20.
-14
Evaluate (3966/(-13881))/(1/28).
-8
What is 240/(-30) + ((-2)/5)/((-228390)/22725 + 10)?
-1/38
Calculate (4 + 51/(-12) + 1/(-4))/(15744/(-1889280)).
60
(-5*(-801)/660 - 3*2)/
|
{
"pile_set_name": "DM Mathematics"
}
|
(x) = -12*x + 2. Let p be a(2). Let u(v) = -v**2 - v + 4. Let n be u(3). Let s = n - p. List the prime factors of s.
2, 7
Let k(l) = 10*l**3 + 2*l**2 - 1. Suppose -3*u - 6 = x, 4*u + 34 = -2*x + 5*x. Suppose 3*o + 3 = x. List the prime factors of k(o).
11
Let t = 27 - -40. What are the prime factors of t?
67
Suppose -56 - 88 = -2*s. Suppose 0 = 2*i + f - s, 2*i = -2*f - f + 80. What are the prime factors of i?
2, 17
Suppose -2*o - 20 = 3*o. Let b be (0 - 10)*o/10. Let w(s) = s**2 - 2*s + 1. What are the prime factors of w(b)?
3
Suppose 3*y + m + 12 = 0, -6*y + 3*m - 6 = -y. Let o be (y + 4)/(1/3). Suppose -2*d - 4*c = -20, 0 = o*d - 5*c - 3 - 27. List the prime factors of d.
2, 5
Suppose 0*j + 3*j = 4*a + 44, -22 = -2*j - a. What are the prime factors of j?
2, 3
Let g = 4 + 64. What are the prime factors of g?
2, 17
Let n = -1 + 5. Suppose 5*z - 5 = 2*k - 33, 2*z = -n*k + 80. What are the prime factors of k?
19
Let l = 11 + 1. List the prime factors of l.
2, 3
Let o = 6 + -12. Let f be (-2)/3 + 2/o. List the prime factors of f*2 + (2 - -8).
2
Let u(r) = -2*r + 5. Let n be u(-4). Let m = n - 9. Let h = 20 - m. What are the prime factors of h?
2
Suppose -4*x - 32 = -0*x. Let r be 98/x + (-2)/(-8). Let o = -5 - r. What are the prime factors of o?
7
Let i = -2 + 4. Suppose -i = -q + 4. What are the prime factors of q?
2, 3
Suppose -18*b = -22*b + 16. Let v(z) = z - 4. Let x be v(4). Let f = b - x. List the prime factors of f.
2
Let u(i) be the third derivative of i**4/12 + i**3/6 - i**2. Suppose 2*o - 2 = o. List the prime factors of u(o).
5
Suppose -5*p + 2*s + 32 = -22, 3*s = 3*p - 27. Suppose -y + p = -8. List the prime factors of y.
2, 5
Let p = -4 + 7. Suppose p*d - 28 = 65. List the prime factors of d.
31
Let x(g) = -45*g**3 - g**2 + g + 2. List the prime factors of x(-1).
3, 5
Let r(h) = -h**2 - 12*h + 1. What are the prime factors of r(-11)?
2, 3
What are the prime factors of 4/(-4) - -4 - -68?
71
Let b = 14 + 1. Suppose j = 3*m - m - b, 4*m - 12 = -4*j. What are the prime factors of m?
2, 3
Suppose 0 = 4*k + 75 - 195. List the prime factors of k.
2, 3, 5
Suppose 0 = -2*p + 7 + 617. What are the prime factors of p?
2, 3, 13
Let f be 2*(-1 + 2) + 1. Suppose 0 = -k + 5 + f. List the prime factors of k.
2
Let n(z) = -z**3 + 4*z**2 - 3*z + 4. Let t(u) = u + 10. Let x be t(-7). Suppose 0 = r - x*f - 18, 2*r + 5*f = -11 - 8. What are the prime factors of n(r)?
2
Let v(u) = -1 + u + 2 - 2. Let g be v(5). Suppose -4*r + r + 5*y = -51, -2*r = g*y - 12. List the prime factors of r.
2, 3
Let y be 3/((-3)/26) - 1. Suppose 2*x = x + 39. Let i = x + y. What are the prime factors of i?
2, 3
Suppose 4849 = 12*n + n. What are the prime factors of n?
373
Let z(m) = 2*m**2 + 8*m + 3. Let j be 2/4*3*-4. Let r be z(j). Suppose 5*g = 2*x - 15, -2*g = 3*x - 8*x + r. What are the prime factors of x?
5
Let s(j) = -j**2 - 7*j + 1. Suppose -3*d + 6 = -2*h - 6*d, 4*d + 10 = -3*h. What are the prime factors of s(h)?
7
Let f be 14/4 - (-6)/12. Suppose -2*a - 2*n + 44 = -f*n, 0 = -3*a - 4*n + 31. List the prime factors of a.
17
Let f(h) be the third derivative of -h**6/120 - h**5/20 + h**4/6 + 2*h**3/3 - h**2. Let i be f(-4). Let p = i + -1. What are the prime factors of p?
3
Let c(y) = -7*y**3 + y**2. Let u be 3/4 + (-28)/16. What are the prime factors of c(u)?
2
Let m = 94 + -48. Suppose 4*v - 82 = -5*y, -7*y + 2*y + m = 2*v. What are the prime factors of v?
2, 3
Suppose -2*b = -f + 288, -1596 = -5*f - 4*b - 212. What are the prime factors of f?
2, 5, 7
Suppose 0 = -u - 5*m + 50, -4*m = 4*u - m - 268. List the prime factors of u.
2, 5, 7
Let r(u) = u**3 - 2*u**2 - 4*u + 3. Let j be r(4). Suppose 0 = -2*w - 18. Let f = j + w. What are the prime factors of f?
2, 5
Let b(g) = -g**2 - 11*g - 10. Let r(d) = -d**2 - 2*d + 7. Let m be r(-5). What are the prime factors of b(m)?
2, 7
Suppose 132 = 2*b + b. What are the prime factors of b?
2, 11
Suppose 0 = 4*x + x - 15. Suppose 4*j = -x*s + 8, -4*j - s = -6*s - 8. Suppose -8 = j*z, p + 6*z + 5 = 3*z. List the prime factors of p.
7
Suppose 2*k = -2*k. Suppose -36 = 2*p - k*p. List the prime factors of 212/18 - 4/p.
2, 3
Let v be (-2)/4 - (-1)/(-2). Let j(s) = -s - 1. Let c be j(v). Let x = 12 + c. What are the prime factors of x?
2, 3
Suppose -4*n = w - 4*w - 111, -4*n + 76 = 4*w. What are the prime factors of n?
2, 3
Let c = -12 - -17. Suppose 2*p + c - 93 = 0. What are the prime factors of p?
2, 11
Let y = 41 + -27. Let r be (-1)/((-16)/y - -1). Let m = r + -2. List the prime factors of m.
5
Let h(w) = -w - 7. Let l be h(-10). Let n be ((-2)/l)/(2/(-9)). Suppose y + 2 = 0, 2*d - 6 = n*y - 2*y. List the prime factors of d.
2
Let u be ((-20)/(-25) - -2)*-5. Suppose -4*c + 0*c = -5*n + 95, 4*n - 72 = 3*c. Let f = u - c. What are the prime factors of f?
2, 3
Let j = 9 - 9. Suppose 0 = -j*w + 2*w - 40. List the prime factors of w.
2, 5
Let y be 3/2*8/6. Suppose -3*h = 4*c - 74, -y*c - 3*c - 5 = 0. Suppose -j - h = -2*m + 2*j, 0 = 4*m - 4*j - 44. What are the prime factors of m?
7
Suppose 4 = q + 3. Let r(p) = 16*p**2 - p + 2. What are the prime factors of r(q)?
17
Let a(m) = 30*m + 1. Let j be a(1). Let i = -13 + j. What are the prime factors of i?
2, 3
Let y(s) = s**3 + 5*s**2 + 5*s. Let c be y(-4). Let b be 50/c + (-2)/(-4). List the prime factors of 40/b*(-4 + 1).
2, 5
What are the prime factors of -1 + -3 - (-516)/6?
2, 41
Let b(x) be the third derivative of x**4/4 - x**3/6 + 2*x**2. Let a be (-2)/6 - (-7)/3. What are the prime factors of b(a)?
11
Suppose -13*j - 135 = -14*j. List the prime factors of j.
3, 5
Let a = 17 + 1. List the prime factors of a.
2, 3
List the prime factors of ((-158)/4)/((42/(-6))/14).
79
Suppose -4*c - 884 = -8*c. List the prime factors of c.
13, 17
Let l(m) = m + 2. Let s be l(3). Suppose 5*z - j - 30 = 0, 0 = 3*z + s*j + 8 + 2. Suppose -o - i = i - 10, z*o - 65 = 5*i. List the prime factors of o.
2, 3
Let g = 79 - 35. What are the prime factors of g?
2, 11
Let m(d) be the second derivative of d**3/6 + 9*d**2/2 + d. What are the prime factors of m(8)?
17
Suppose 5*a - s - 497 = 0, 2*s - 67 - 139 = -2*a. What are the prime factors of a?
2, 5
Suppose 0 = 5*t - 6 - 9. List the prime factors of t.
3
Suppose t = -28 + 68. Let v be (17 + 4)/((-6)/8). Let q = v + t. What are the prime factors of q?
2, 3
Let q = 25 - -91. What are the prime factors of q?
2, 29
Let f(z) = -3*z**2 - 11*z - 6. Let r(n) = -2*n**2 - 7*n - 4. Let i(q) = 5*f(q) - 8*r(q). Let k be (-18)/4 - (-3)/6. What are the prime factors of i(k)?
2, 7
Let u be -5 + 8 + 1*2. Suppose u + 3 = 4*c. Suppose -4*f + 30 = -c*f. List the prime factors of f.
3, 5
Suppose -3*w = -83 - 16. What are the prime factors of w?
3, 11
List the prime factors of ((-3)/(-6))/((-3)/(-174)).
29
Let r = 192 - -55. List the prime factors of r.
13, 19
Let m = -86 - -142. Suppose -11*o + m = -7*o. What are the prime factors of o?
2, 7
Let d(k) = -62*k**3 + 2*k + 2. What are the prime factors of d(-1)?
2, 31
Let x = 6 - 0. Let i(v) = -v + 1. Let b be i(-2). Suppose -n - b*g + 20 = 0, 3*n - x*n = -4*g - 8. List the prime factors of n.
2
Let q(k) = -k - 2. Let u be q(-8). Suppose -72 - u = -3*r. List the prime factors of r.
2, 13
Let f be (9/(-2))/(4/8). Let i(l) = -l - 2. List the prime factors of i(f).
7
Let i(c) = c**3 + 6*c**2 + 3*c + 3. What are the prime factors of i(-5)?
13
Suppose 4*q = -2*l + 116, -2*l - 3 + 7 = 0. List the prime factors of q.
2, 7
Let u(s) be the second derivative of s**3/6 - 3*s. Let x be u(4). Suppose -4*f + 4 = 2*q - 2*f, 5*q - 14 = -x*f. What are the prime factors of q?
2, 3
Suppose 4*u = 8*u + 12. Let z be 1*(-1)/((-1)/(-7)). Let n = u - z. List the prime factors of n.
2
Let p(g) = -g**2 - 9*g + 13. Let m = 2 + 0. Let f be (-3)/(-6) - 21/m. List the prime factors of p(f).
3
Suppose 0 = 4*y - 2*g - 130, 5*y + g - 140 = -g. What are the prime factors of y?
2, 3, 5
Suppose 2*g - 348 = -4*g. What are the prime factors of g?
2, 29
Suppose -3*c = -0*c + 9. Let k be (-25)/c + (-2)/(-3). Suppose 3*s = 3*q - 3, 5*q = 3*s + 2 + k. List the prime factors of s.
3
Let w(b) be the third derivative of b**6/120 + b**5/12 - 7*b**4/24 - 5*b**3/6 - 2*b**2. List the prime factors of w(-5).
2, 3, 5
Suppose 2*v - 20 = -a + 6*a, -a - 17 = -3*v. Let b be ((-12)/a
|
{
"pile_set_name": "DM Mathematics"
}
|
*i + 7. Give k(-4).
-29
Let n(r) = 6*r + 41. Give n(-7).
-1
Let b(y) = 2*y**2 + 8*y - 13. What is b(-6)?
11
Let u(h) = -2*h + 30. Give u(10).
10
Let x(b) = -4*b + 9. Give x(5).
-11
Let f(r) = r**3 - 10*r**2 + 7*r + 6. Determine f(9).
-12
Let v(q) = -q**2 - 10*q + 18. What is v(-11)?
7
Let a(x) = x**2 + 9*x + 9. Determine a(-6).
-9
Let l(p) = 5*p**2 - 5*p - 3. Determine l(2).
7
Let x(c) = -c**3 + 5*c**2 - 6*c. What is x(4)?
-8
Let d(z) = z**2 - 5*z + 7. Give d(6).
13
Let n(y) = 27*y - 1. Determine n(-1).
-28
Let v(k) = -k**3 - 22*k**2 - 24*k - 71. Calculate v(-21).
-8
Let c(b) = -2*b + 9. Determine c(-5).
19
Let v(a) = a. Give v(4).
4
Let p(w) = -w**2 + 7*w - 3. Determine p(6).
3
Let t(s) = -s**2 + 10*s + 50. Calculate t(-4).
-6
Let r(c) = c**3 + 108. Calculate r(0).
108
Let j(z) = -z**3 + 2*z**2 - z + 2. Give j(2).
0
Let b(v) = -2*v - 4. Determine b(12).
-28
Let g(p) = -p**2 + 9*p + 9. What is g(10)?
-1
Let r(w) = w**2 + 2*w - 22. Give r(-5).
-7
Let h(d) = 7*d - 51. Give h(6).
-9
Let t(l) = l + 21. What is t(-4)?
17
Let h(a) = 10*a + 3. What is h(-2)?
-17
Let w(b) = -3*b**2 - 41*b + 13. Calculate w(-13).
39
Let v(u) = 3*u**3 + 3*u**2 + 4*u. Give v(-2).
-20
Let c(b) = b**2 + 11*b - 5. Calculate c(-11).
-5
Let c(r) = r**3 - r**2 - 1. What is c(2)?
3
Let g(d) = d**3 - 8*d**2 - 4*d - 16. What is g(8)?
-48
Let y(z) = -5*z + 25. Give y(8).
-15
Let g(j) = j**3 - 8*j**2 - 5*j + 7. Give g(8).
-33
Let t(f) = -42*f + 237. What is t(6)?
-15
Let y(b) = b**3 + 11*b**2 + 13*b + 2. Calculate y(-9).
47
Let k(r) = -r**3 - 25*r**2 - 2*r - 29. Calculate k(-25).
21
Let q(z) = 2*z**3 + 2*z**2 + z - 2. Give q(-3).
-41
Let k(i) = 26*i**2 + 2*i. Calculate k(-1).
24
Let q(b) = -b**3 - b**2 + 2*b + 109. Determine q(0).
109
Let o(a) = -a + 10. Determine o(9).
1
Let f(l) = l**2 - 6*l - 3. Calculate f(8).
13
Let k(z) = -7*z - 32. Give k(-6).
10
Let t(g) = -g**3 - 10*g**2 - 12*g - 2. What is t(-9)?
25
Let q(y) = y**2 + 14*y + 15. What is q(-11)?
-18
Let l(f) = -2*f**3 - 14*f**2 + 4*f + 18. Calculate l(-7).
-10
Let h(g) = -2*g - 73. Give h(-37).
1
Let c(l) = -5*l**2 - 8*l + 3. What is c(3)?
-66
Let y(z) = z**3 + 6*z**2 - 20*z + 5. Give y(-9).
-58
Let l(j) = -9*j + 4. Determine l(5).
-41
Let i(w) = -w**3 + 7*w**2 - 6*w - 6. Determine i(5).
14
Let i(b) = b**3 + 8*b**2 - 11*b - 2. What is i(-8)?
86
Let a(g) = g**3 - 4*g**2 - 4*g + 39. Determine a(5).
44
Let f(m) = -m**3 + 3*m**2 - 4*m + 2. Determine f(2).
-2
Let y(m) = 5*m + 11. What is y(13)?
76
Let p(s) = -s**3 - 54*s**2 + 56*s + 53. Calculate p(-55).
-2
Let g(y) = -2*y**2 + 23*y + 20. Determine g(12).
8
Let y(f) = f - 11. What is y(0)?
-11
Let k(o) = -o + 7. Give k(11).
-4
Let b(d) = -d**3. Calculate b(0).
0
Let b(r) = -37*r**3 + r - 2. What is b(1)?
-38
Let a(y) = 16*y - 16. Determine a(4).
48
Let b(y) = 5*y - 23. Calculate b(4).
-3
Let r(c) = -2*c - 11. Give r(-9).
7
Let g(f) = -8*f + 4. What is g(1)?
-4
Let d(f) = -f**3 + 5*f**2 - 8*f + 3. Give d(3).
-3
Let f(j) = -2*j - 9. Calculate f(-6).
3
Let z(g) = -2*g**2 + 30*g + 76. Give z(17).
8
Let f(z) = -153*z - 301. What is f(-2)?
5
Let y(m) = -m + 1. Determine y(14).
-13
Let h(t) = -t**3 + 10*t**2 + t - 11. Give h(10).
-1
Let i(d) = d**2 + 3*d + 2. Determine i(-3).
2
Let t(g) = g + 1. Give t(-16).
-15
Let i(r) = 2*r - 10. Calculate i(10).
10
Let m(x) = x - 23. Give m(7).
-16
Let n(j) = -j - 14. Give n(0).
-14
Let g(l) = 2*l**3 + 39*l**2 - 19*l - 3. What is g(-20)?
-23
Let o(n) = -n**3 + 7*n**2 + 2*n - 5. Determine o(4).
51
Let m(f) = -f**2 - 6*f - 13. What is m(-5)?
-8
Let z(q) = 3*q + 5. What is z(2)?
11
Let t(h) = -5*h**2 - 311*h - 59. What is t(-62)?
3
Let k(w) = 4*w + 3. Calculate k(-9).
-33
Let h(n) = 32*n - 4. Calculate h(2).
60
Let c(g) = 15*g - 6. What is c(1)?
9
Let t(z) = -z**2 - 23*z - 56. Give t(-20).
4
Let u(n) = -n + 12. Give u(15).
-3
Let j(i) = -i + 15. Determine j(7).
8
Let u(x) = 4*x + 171. What is u(-41)?
7
Let c(i) = i**2 + 9*i - 8. What is c(-11)?
14
Let a(v) = -4*v**2 - 3*v + 1. What is a(-3)?
-26
Let j(d) = -d**3 + 15*d**2 + d - 16. Determine j(15).
-1
Let n(z) = -11*z - 14. Give n(-2).
8
Let i(s) = s**2 + 19*s + 33. Give i(-18).
15
Let f(q) = 10*q - 34. Calculate f(8).
46
Let c(h) = h**2 - 2*h - 2. Determine c(-2).
6
Let r(w) = -w + 9. Give r(8).
1
Let z(m) = -2*m - 40. Calculate z(-18).
-4
Let k(y) = -y**2 + 5*y - 11. Calculate k(5).
-11
Let l(h) = -13*h + 175. Give l(14).
-7
Let y(h) = h**3 + 4*h**2 - 2*h + 3. What is y(-4)?
11
Let d(p) = 2*p - 23. Calculate d(-3).
-29
Let b(n) = -3*n + 5. What is b(5)?
-10
Let c(g) = 3*g + 112. What is c(-38)?
-2
Let i(b) = -2*b**2 + 3*b + 29. Give i(-3).
2
Let c(m) = m**3 + 3*m**2 - 6*m + 21. What is c(-5)?
1
Let s(n) = -n**2 + 4*n + 1. What is s(-4)?
-31
Let z(b) = -3*b + 78. Give z(19).
21
Let j(k) = k**3 + 3*k**2 - 7*k - 5. Give j(-4).
7
Let i(t) = -2*t**2 - 3*t. What is i(1)?
-5
Let r(o) = 5*o + 27. Determine r(-5).
2
Let n(s) = 2*s - 9. What is n(0)?
-9
Let l(h) = -4*h. Calculate l(1).
-4
Let v(y) = -y**2 + 19*y + 3. What is v(18)?
21
Let y(v) = v + 5. Determine y(3).
8
Let s(a) = -2*a**2 - 1. Give s(3).
-19
Let m(j) = -j + 3. Determine m(-6).
9
Let y(v) = 10*v - 4. What is y(0)?
-4
Let s(y) = y + 1. What is s(10)?
11
Let m(d) = -d**3 + 3*d**2 - 2*d + 11. Determine m(5).
-49
Let i(k) = 6*k - 447. Give i(75).
3
Let l(w) = w**2 + 2*w + 4. What is l(0)?
4
Let x(n) = n**3 + 4*n**2 + 3*n. Calculate x(-2).
2
Let b(h) = -h + 19. What is b(21)?
-2
Let w(u) = -u**3 - 7*u**2 + 4*u - 2. What is w(-7)?
-30
Let t(h) = -6*h - 31. What is t(-5)?
-1
Let g(z) = z**3 + 19*z**2 - 42*z - 3. What is g(-21)?
-3
Let g(u) = -u**3 - 2*u + 9. Give g(0).
9
Let g(t) = t**3 - t**2 - 12. Give g(0).
-12
Let h(j) = -2*j**2 + 46*j - 61. What is h(22)?
-17
Let v(c) = c**3 + 11*c**2 - 2*c - 5. Calculate v(-11).
17
Let l(q) = -q**3 - 26*q**2 - 48*q - 6. What is l(-24)?
-6
Let d(c) = 6*c**2. Give d(2).
24
Let o(y) = -y**3 + 17*y**2 - 23*y + 26. What is o(16)?
-86
Let c(y) = -y**3 + 9*y**2 - 6*y - 12. Calculate c(5).
58
Let c(q) = -q**3 + 2*q**2 + 5*q + 3. Determine c(4).
-9
Let a(u) = 5*u + 14. What is a(-8)?
-26
Let o(a) = 23*a + 96. Determine o(-4).
4
Let i(o) = -4*o - 4. Determine i(-3).
8
Let s(o) = o**2 + 3*o - 4. Calculate s(2).
6
Let p(y) = -y**2 + 18*y + 139. What is p(-8)?
-69
Let u(n) = -2*n**2 - 2. Give u(4).
-34
Let o(c) = 3*c + 41. What is o(-16)?
-7
Let h(b) = -b**3 + b**2 + 4. Determine h(2).
0
Let o(y) = 31*y + 113. Give o(-4).
-11
Let y(l) = 7*l**2 - l + 1. Calculate y(1).
7
Let g(y) = -3*y**3 + y. What is g(-1)?
2
Let k(n) = n**3 - n**2 - 3*n - 3. Calculate k(-2).
-9
Let r(s) = 2*s**2 - 39*s + 20. Give r(18).
-34
Let o(h) = h**2 - 6*h + 6. Calculate o(6).
6
Let k(z) = -z**2 - z - 17. Calculate k(0).
-17
Let v(c) = -c**3 - 13*c**2 + 12*c + 21. Give v(-14).
49
Let b(l) = -l**3 - 14*l**2 - 25*l - 11. Calculate b(-12).
1
Let s(p) = -p**3 + 37*p**2 + 36*p + 80. Calculate s(38).
4
Let d(k) = -16*k**2 - 2*k - 1. What is d(-1)?
-15
Let z(p) = -2*p**3 - 8*p**2 + 2*p - 7. What is z(-5)?
33
Let x(f) = -f**2 + 16. Give x(12).
-128
Let m(c) = -c**3 + 15*c**2 - 8*c - 11. Determine m(14).
73
Let w(o) = 2*o**2 + o + 16. What is w(0)?
16
Let g(m) = m**3 + 17*m**2 + m + 13. What is g(-17)?
-4
Let q(d) = d**3 + d + 2. Give q(-1).
0
Let g(b) = 14*b**3 - b - 1. Determine g(-1).
-14
Let g(h) = -63*h + 321. Calculate g(5).
6
Let s(c) = c**3 + 2*c**2 - 19*c - 11. Give s(5).
69
Let k(v) = 4*v - 2. Give k(-10).
-42
Let k(t) = t**2 - 12*t - 1. Calculate k(12).
-1
Let q(b) = 2*b**2 - b + 4. Determine q(3).
19
Let i(r) = r**3 + 5*r**2 + 6*r + 4. What is i(-4)?
-4
Let n(u) = -3*u**2 + 35*u. Give n(12).
-12
Let p(q) = -4*q**2 - 21*q. What is p(-7)?
-49
Let a(l) = -l**2 + 21. Give a(0).
21
Let p(c) = -15*c - 14. Calculate p(-6).
76
Let u(f) = f**3 + 6*f**2 - 2*f - 7. Give u(-5).
28
Let h(y) = -4*y + 3. Calculate h(4).
-13
Let z(o) = -o**3 - 24*o**2 - 39*o + 106. Determine z(-22).
-4
Let u(d) = -24*d - 5. What is u(-1)?
19
Let l(t) = -2*t - 46. Give l(-26).
6
Let b(s) = 8*s**2 - 10*s - 12. Give b(-1).
6
Let k(h) = -h**3 + h + 7. Calculate k(-2).
13
Let n(s) = 2*s**3 - 2*s**2 - s + 1. What is n(2)?
7
Let s(z) = -4*z + 16. What is s(2)?
8
Let h(g) = -62*g + 130. Determine h(2).
6
Let y(s) = 2*s - 13. Give y(25).
37
Let g(o) = 7*o - 10. Give g(-2).
-24
Let h
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-8020
What is the biggest value in 0.15, 80, -3, 3/5, -4?
80
What is the biggest value in -5, -3, -6, 0.1, 2, 93?
93
Which is the fourth biggest value? (a) -0.5 (b) 6060 (c) 2/11 (d) 4 (e) -5
a
Which is the third biggest value? (a) -27/17 (b) -2/25 (c) -6
c
What is the third smallest value in -21, 8/91, -0.1?
8/91
What is the fifth smallest value in -10.264, -1/4, -0.6, 3, -0.1?
3
Which is the biggest value? (a) -332/17 (b) -0.4 (c) -5 (d) 0.5
d
Which is the third biggest value? (a) 0.5262 (b) -0.7 (c) 2/17
b
What is the biggest value in 4, -8/5, 2, 3, -7, -54?
4
Which is the second smallest value? (a) 57/233 (b) 0.4 (c) 59
b
Which is the third smallest value? (a) -44157 (b) -0.4 (c) 0.16
c
What is the second smallest value in -2/194657, 5, 0?
0
Which is the fourth biggest value? (a) 1.52 (b) -2/253 (c) 2/3 (d) 5
b
Which is the third biggest value? (a) 2 (b) -4 (c) 0.053 (d) -3/2 (e) -15 (f) 4
c
What is the sixth smallest value in 2/7, 1, -2.6, 24, -2/9, 2/3?
24
Which is the second biggest value? (a) -3/19 (b) -4 (c) 0.2 (d) 0.05 (e) -8
d
Which is the third biggest value? (a) -5 (b) -7/3 (c) -55 (d) -3 (e) -13
a
What is the fifth smallest value in -6/7, 31.7, -1/3, 3, -0.3, 4/7?
3
Which is the fourth smallest value? (a) -5 (b) 0 (c) -173 (d) -2 (e) 0.8
b
What is the smallest value in -0.5, -2/1739, 6, -2/21, -3?
-3
Which is the third smallest value? (a) 0.5 (b) -3 (c) -1/5 (d) -5 (e) 0.444
c
Which is the sixth smallest value? (a) 2 (b) -0.06 (c) 1/5 (d) -0.2 (e) -2/13 (f) -0.4
a
Which is the sixth smallest value? (a) -5/31 (b) 3 (c) 2/17 (d) 5 (e) -0.15 (f) -2
d
What is the second smallest value in -3/5, -2, -1/6, 0.5, 4/89, -6?
-2
What is the biggest value in 0.5, -201006, 3?
3
What is the third smallest value in -11, 2/5, -145, 3, -1?
-1
Which is the biggest value? (a) 3 (b) 260 (c) 3/5 (d) -1 (e) -0.4
b
Which is the second biggest value? (a) 0.051 (b) 1/5 (c) -4.28 (d) -5 (e) -0.5
a
What is the biggest value in -13, -246, -3, 1/7, 3?
3
What is the third smallest value in -0.09, 3/7, 0.4, -2/7, -22?
-0.09
What is the third smallest value in -3, -4/19, -1?
-4/19
What is the fourth smallest value in 4, 0.019, -526, 1?
4
What is the third smallest value in 0, -4, -2/7, -0.5, 0.09, -0.06?
-2/7
Which is the biggest value? (a) -3 (b) 0.28 (c) 2 (d) 151
d
Which is the third biggest value? (a) -8 (b) -17.32 (c) -4 (d) 2/9 (e) -0.4
c
Which is the biggest value? (a) -0.4 (b) 15142 (c) -2/31
b
What is the second biggest value in -4, 0.4, 21/8, 0.3, 0.0845?
0.4
Which is the biggest value? (a) -492 (b) 1/5 (c) 62
c
What is the second biggest value in 4, 1/3, -120817?
1/3
What is the second biggest value in 0.2, -2/21, 2, 12, 5, -20/19?
5
Which is the biggest value? (a) -0.1 (b) 2/45 (c) -750
b
Which is the fourth biggest value? (a) -1/5 (b) -0.6 (c) -1/7 (d) 2/5 (e) 2
a
What is the second smallest value in -5/4, 0.4, -0.3, -0.125?
-0.3
Which is the second biggest value? (a) 5 (b) 3053/3 (c) 7 (d) 3 (e) -3/2
c
What is the biggest value in -0.063, 3, 208, 6, 2/7?
208
Which is the fifth biggest value? (a) 9 (b) -5 (c) 20905 (d) -1 (e) -1/5
b
Which is the second biggest value? (a) 0.3 (b) -0.062 (c) 46 (d) -0.4 (e) 1.1
e
Which is the fifth biggest value? (a) -3/6346 (b) -3 (c) 4 (d) 0.4 (e) 0.2
b
What is the second smallest value in 0.301, 7.8, -2, 0.3, -0.3?
-0.3
What is the third biggest value in -2/5, -0.2, -2095, 3, -1?
-2/5
Which is the smallest value? (a) -4 (b) 2/11 (c) 0.04574
a
What is the fourth biggest value in -3, -6, 5, 1, 548, -4?
-3
Which is the second smallest value? (a) -27.2 (b) -0.3 (c) -1 (d) 1/6 (e) 1/8 (f) 0.3
c
Which is the third smallest value? (a) 1296 (b) 4 (c) -4 (d) 5
d
What is the fourth smallest value in -27, -15, 3/2, 4, -0.5?
3/2
Which is the third smallest value? (a) 0.2 (b) -4 (c) 6497
c
Which is the fifth smallest value? (a) 0.1 (b) 14/3 (c) 5 (d) -1/4 (e) 9
e
Which is the second smallest value? (a) 0.4 (b) -2/5 (c) 20 (d) 1/1447
d
What is the sixth smallest value in 0.5, -3/7, -3, 2/3, -1/3, -7387?
2/3
What is the third smallest value in 0, -45, 4, -6, 1.5?
0
Which is the biggest value? (a) 5 (b) 2 (c) -5005 (d) -3
a
Which is the fifth biggest value? (a) 0.2 (b) 2 (c) -1/4 (d) -0.07 (e) -25.6
e
What is the biggest value in -1/46, 2/5, -1/4, -0.0082?
2/5
What is the second biggest value in 10, -5, -18/7, -2, 2/3?
2/3
Which is the smallest value? (a) 0 (b) -22/3 (c) -62.9
c
What is the fifth smallest value in 0, -0.06, -2/7, -7/25, 5/4?
5/4
What is the third smallest value in 616, -1, 87, 2?
87
What is the third smallest value in 71.255, -0.2, 2/7, 0.4?
0.4
Which is the fourth biggest value? (a) 5 (b) 188 (c) 4/5 (d) -0.96 (e) 4
c
What is the third smallest value in 9, -1/5, 1, 86?
9
What is the fourth smallest value in -2/7, -0.3, -0.073, 2, 0.08?
0.08
What is the biggest value in -57, -0.24, -9?
-0.24
What is the fourth smallest value in -4, 18/23, 16, 41/5?
16
Which is the fifth smallest value? (a) -1/9 (b) 0.2 (c) -1/3 (d) 1/3 (e) -0.4 (f) 179
d
What is the second biggest value in 1, 1678, 2.9?
2.9
Which is the second smallest value? (a) -2 (b) 0 (c) 2/3 (d) -11/2 (e) 39 (f) 5
a
Which is the biggest value? (a) 32714 (b) 0 (c) -0.1
a
Which is the second biggest value? (a) -382/37 (b) -66 (c) -0.4
a
What is the smallest value in 1/3, -1/9479, -1/6, -0.2?
-0.2
What is the third smallest value in 0.2, -40, 4/7, 1.5?
4/7
What is the third biggest value in 2/7, -4/5, 1, 62, 0.1, -2/5?
2/7
What is the biggest value in -27, 17/2, -10/7, 3?
17/2
What is the fourth smallest value in 2, 91, 5, 21/8, -2?
5
What is the third smallest value in -2/5, -5, -2.2, 72/17?
-2/5
What is the fourth smallest value in -0.4, -1, 0.5, -62/9, -1/2?
-0.4
What is the biggest value in 1483, 1, -0.24?
1483
Which is the fifth smallest value? (a) -7 (b) 2/851 (c) 4/9 (d) -2/9 (e) 1/3 (f) 0
e
What is the third smallest value in 0.23, -24, 2/21, 15, -0.1, -1/2?
-0.1
Which is the biggest value? (a) 2/7 (b) -1 (c) 0.18 (d) 2/23 (e) 4 (f) 10/9
e
Which is the second smallest value? (a) 141 (b) 61 (c) 5 (d) 1 (e) 0.1
d
Which is the fourth smallest value? (a) 2 (b) -3/8 (c) 0.54 (d) 4/7 (e) 0
d
What is the second smallest value in -2/11, -2, 15/2, 1.37?
-2/11
Which is the third biggest value? (a) -5 (b) -1/4 (c) 629.4
a
Which is the second smallest value? (a) 3.5 (b) -1 (c) 6 (d) -0.1
d
Which is the second smallest value? (a) 0.72 (b) 41 (c) 78
b
Which is the fourth biggest value? (a) 0.2 (b) 2/5 (c) 0.0453 (d) 63
c
What is the fourth smallest value in -1, 1.2, -16, 43?
43
Which is the smallest value? (a) 5086 (b) 1/5 (c) -4/5 (d) -2/3
c
What is the second biggest value in -13/5, -6, -17, 1/8?
-13/5
What is the smallest value in 0.1, -3, -4, -375, 6?
-375
What is the fifth smallest value in 5, -9/133, 0.5, -5, -1.2?
5
What is the third smallest value in 1.2, 32.4, 39?
39
What is the smallest value in 2/7, -3, -492638?
-492638
What is the fifth smallest value in 2, 0, 0.01, -2/13, -26, 3/5?
3/5
What is the biggest value in 1746, -95, 5?
1746
Which is the second smallest value? (a) -0.2 (b) -0.057 (c) 5
b
Which is the biggest value? (a) 0.5 (b) -9 (c) 1/4 (d) -381
a
Which is the smallest value? (a) -1/6 (b) -23 (c) 1/280 (d) 9 (e) 2
b
Which is the third biggest value? (a) -1/2 (b) 1/6 (c) -1 (d) 18/277
a
What is the third smallest value in 1/112, -0.3, 1.242, -3, -2/13?
-2/13
What is the fourth biggest value in 0.5, -1/4, -0.89, -8?
-8
Which is the second biggest value? (a) -4 (b) 5 (c) 14/167 (d) 1.7 (e) -0.4
d
Which is the biggest value? (a) 0.7 (b) -4 (c) -1/2 (d) 43 (e) -1 (f) 50
f
Which is the third smallest value? (a) 0.3 (b) 3410 (c) 0
b
What is the biggest value in 1/24, -1.24, -4/11, 0?
1/24
What is the smallest value in 3, 1/5, -41/4?
-41/4
What is the second smallest value in 1/6, 0, 5, -18, -48?
-18
Which is the third biggest value? (a) 2 (b) -2 (c) -0.0864 (d) 2/7
c
Which is the smallest value? (a) -0.5 (b) 3/7 (c) 315858
a
Which is the sixth biggest value? (a) 5 (b) 1 (c) -2 (d) -2/17 (e) -
|
{
"pile_set_name": "DM Mathematics"
}
|
r b.
1
Suppose -5*y + 7*y = 4. Suppose -y*p + 8 = -0*p. Solve -8 = 3*d + p for d.
-4
Let u(p) = -p**3 + 7*p**2 - 6*p + 5. Let o be u(6). Suppose -2 - 15 = -o*l - v, 4*l + v = 14. Solve 0 = l*r - 0*r + 6 for r.
-2
Suppose 65 = 7*n - 19. Solve n = -6*k - 0*k for k.
-2
Let q be ((-12)/(-18))/((-1)/(-3)). Let d = 119 + -27. Suppose d = 4*o + 2*b, 2*b = 3*o - 116 + 33. Solve q*n + 3*n = -o for n.
-5
Let l(t) = -t**2 + 13*t + 16. Let x be l(14). Solve -b - x = -2*b for b.
2
Suppose 0 = -2*j - 4*h - 4, -10 = -3*j + 3*h + 20. Let y be (1 - -1)/(8/16). Suppose -y*u = -13 + 5. Solve 12 = -j*v + u*v for v.
-3
Suppose t - 4 = -0*t. Suppose -4*l = -0*l + 4*v, 0 = 2*v - 2. Let z = l + 7. Solve t*w - z*w = -10 for w.
5
Let t(g) = 3*g**2 + 2*g + 1. Let o be t(-1). Let r = 990 + -990. Solve r = f - 3*f + o for f.
1
Let x(g) = g**3 + 8*g**2 + g + 10. Let m be x(-8). Solve m*l + 5 = -5 for l.
-5
Let x be 7 - (7 - 9/3). Solve a - x*a = 0 for a.
0
Suppose 0 = 10*m - 7*m - 99. Let n = m - 31. Solve 0 = n*r + 6 + 4 for r.
-5
Let v(m) = m**3 - 15*m**2 + 13*m + 15. Let j be v(14). Let f be (j + -2)*-4 - -4. Suppose d = -3*d + f. Solve -d = 5*k + 8 for k.
-2
Let q = -370 + 378. Solve 9*g - 4 = q*g for g.
4
Let a(r) = -r**3 + 12*r**2 + 3. Let p be a(12). Let g be -3 - 3/(3/(-4)). Let t be (-1)/g*(-5 + 0). Solve -t*w + p*w = 8 for w.
-4
Let s(p) = -2*p**3 - 2*p**2 - 5*p + 6. Let n be s(1). Let y be -5 - -9 - (-4)/(1 - n). Solve 0*i = -y*i + 15 for i.
3
Let r = 11 - 28. Let n = r - -20. Suppose -2 = 3*i - 4*g + 6, -4*i + 1 = -n*g. Solve 3*j + i = 2*j for j.
-4
Suppose -5*s - 25 = 0, 4*w - 7 - 22 = 5*s. Solve -12*k = -23 - w for k.
2
Suppose -d + 52 = -3*d. Let c = d - -29. Suppose 0 = -k + 6*k. Solve -5*v + c*v = k for v.
0
Let v = 9 + -9. Suppose -3*j = -2 - 10. Suppose v = j*k + 2*k. Solve k = -2*f + f + 3 for f.
3
Let o(m) = 9*m**2 + 5*m - 3. Let k be o(4). Suppose -k = -x - 159. Solve x*r - 4*r + 8 = 0 for r.
4
Let p be (-1 - 16/(-4))*(17 - 9). Solve 4*z = -2*z - p for z.
-4
Let f be (53/(-159))/(1/(-15)). Suppose -4*q + w + 10 = 0, w - 17 = -5*q - 0*q. Solve -q*k - 14 = -f for k.
-3
Suppose -5*g = 2*w, 0 = -0*w + 3*w + g. Solve w*h = 2*h for h.
0
Suppose 5*n - 2*c - 520 = -0*n, 96 = n - 2*c. Let t = n - 97. Solve 34 = 5*s + t for s.
5
Suppose 6*d = 22 + 20. Solve 24 = d*n - 11 for n.
5
Let v be (-553)/(-12) - 128/1536. Solve v = -23*w - 0 for w.
-2
Suppose 11*w + 18 = 17*w. Suppose -4*j - 11 = 6*u - 5*u, -4*u = -w*j - 51. Suppose -3*q = -2*z - 7, 5*q - z - 2 = 12. Solve 0 = q*l - u for l.
3
Let l(b) = -b**3 + 29*b**2 - 2*b + 56. Let i be l(29). Let s(m) = -9*m - 8. Let g be s(i). Solve t + t = g for t.
5
Let p be 3 + (-1 - -3)/(-2). Let l be (-160)/(-75) - p/15. Let j = l + 13. Solve -3*y = -0*y - j for y.
5
Let w(h) = -h**2 + 14*h + 4. Let q be w(14). Suppose -4*g - 3*l + 20 = -5*l, 0 = -q*g - l + 26. Suppose 4*r - g*r + 8 = 0. Solve r*y + 1 + 15 = 0 for y.
-4
Let g(p) = -34*p + 206. Let s be g(6). Suppose 3*d - 3 = 2*d. Suppose -d + 13 = o. Solve 3*y - o = -s*y for y.
2
Let u(f) = 3*f - 2. Let n be u(3). Let g be (8/(-4) - 1) + n. Solve 2*i - g*i = 0 for i.
0
Suppose -5*o = 7*o - 3*o. Solve o = h + 7*h + 24 for h.
-3
Let r(k) = k - 9. Let t be r(9). Let d(n) = -n**2 + 6*n - 5. Let b be d(4). Solve -f - b*f + 8 = t for f.
2
Let b be (-6)/(-4)*20/6. Suppose -3*h + 17 = -2*h. Suppose -b*y = -4*g - h, 0 = -2*g - 0*g + 4. Solve y*c = 3*c - 4 for c.
-2
Let m(q) = -21*q - 54. Let s be m(-3). Solve 5*j + s + 6 = 0 for j.
-3
Let l(a) = 3*a - 21. Let d(p) = p - 7. Let f(t) = -11*d(t) + 4*l(t). Let m be f(12). Let x(z) = 3*z**2 + 5*z. Let o be x(-4). Solve -m*u - 3 = -o for u.
5
Suppose 69*o - 28*o - 246 = 0. Solve 4*c = -o*c - 30 for c.
-3
Let i(j) = 2*j - 8. Let d be -1 + (-5)/5 + 6. Let w be i(d). Solve w = 4*k - 2*k - 6 for k.
3
Suppose 0 = 8*a + 7*a - 30. Solve -a = -5*m + 8 for m.
2
Suppose 4*i = -0*i + 20. Suppose 2*d - 120 = u, -3*d - 2*u - 2*u + 180 = 0. Suppose -d = -6*t + t. Solve i*r + t = -8 for r.
-4
Let g = 29 + -71. Let i = -27 - g. Let n(m) = -m**2 + 8*m - 8. Let a be n(6). Solve r + i = a*r for r.
5
Let o(b) = -b - 2. Let d be o(-4). Suppose -19 = d*u - 7. Let r be (2/u)/((-5)/75). Solve r = j - 6*j for j.
-1
Let z be (-2)/((-1)/(-3) - 1). Let h be -36 - -33 - (-3)/(9/48). Solve 1 = -z*m + h for m.
4
Let j be 3/5 + 12/30. Let o be (-4)/(4/(-24)*j). Suppose 2*y + o = 4*r - 0*r, 0 = 2*r + 5*y + 12. Solve -c = 1 - r for c.
3
Suppose -32 = -18*a + 10*a. Suppose 17 = d + 4*d - 3*p, 0 = -a*d - p. Solve t = d - 6 for t.
-5
Suppose -13 = -5*v - 3*m + 2*m, 5*v - 1 = 3*m. Solve -v*k + 8 = 2 for k.
3
Suppose 0 = -39*x + 42*x - 15. Let c be (-1)/(-5) - (-74)/x. Solve -4*g + c = g for g.
3
Let i(k) = -87 - k + 87. Let w be i(-3). Suppose 0 = 12*n - 13*n + 20. Solve p + w*p = n for p.
5
Suppose 0 = -2*p + 2*z, 5*p - 32 = -2*z - 11. Solve 0*y = p*y for y.
0
Suppose 2*n = -3*f - 3*n + 2, -f + 3*n = -10. Let t(h) = h. Let g be t(0). Let r = 3 - g. Solve f - 16 = r*m for m.
-4
Suppose 23*d = 24*d - 8. Solve 5*f + d = 7*f for f.
4
Let n = -58 - -3. Let p be (-143)/n + (-4)/(-10). Solve p*v + v - 20 = 0 for v.
5
Let r be 4/(-40)*-546 - (-21)/(-35). Solve -r*q + 58*q = 16 for q.
4
Let t = 71 + -70. Let j be 0/((-2 + 5)/t). Solve 3*n - 3 = -j*n for n.
1
Let q be (91/1092 - (-82)/(-120))*-25. Suppose 5*m = 2 + 3. Solve 0 = -4*y + m + q for y.
4
Suppose 3*d = 4*d - 1. Let v = d + 1. Let z(h) = -5*h**3 - h - 2. Let o be z(-1). Solve -18 + v = -o*m for m.
4
Let w be -5*9/(-1 - 2). Let z = w - 13. Suppose 2*r = -z*r + 48. Solve v - r = 4*v for v.
-4
Suppose 11*n - 149 + 39 = 0. Solve 12*i - n*i + 10 = 0 for i.
-5
Suppose 5*s + 8*w + 5 = 3*w, 7 = -s - 3*w. Solve -1 = -s*y + y for y.
1
Suppose 65 = -4*k + 5. Let m(i) = i**2 + 13*i - 22. Let t be m(k). Let z = t - 8. Solve z = -3*o + 1 + 2 for o.
1
Let i(m) = -m - 8. Let c be i(-4). Let x(a) = -a**2 - 4*a + 4. Let r be x(c). Suppose -4*g + 24 = 5*n, 3*g - 21 = -r*n - 3. Solve -g = -5*j + 9 for j.
3
Let x = 158 - 152. Solve x*b + 288 = 276 for b.
-2
Let v(x) = -x**3 + 4*x**2 - x - 2. Let d be v(3). Suppose a + 16 = 3*o, -5*o - 5*a + 28 = -2*o. Solve -d*z = -z - o for z.
2
Suppose 2*x + 38 = 3*x. Let u = x + -36. Solve p - 15 = -u*p for p.
5
Let f = -30 - -134. Let i = f - 101. Solve -4*c - 9 - i = 0 for c.
-3
Suppose 7*y = 12*y + 30. Let d be (y/8)/(24/(-192)). Solve 0 = -x + 5 - d for x.
-1
Let s(g) = g**3 - 6*g**2 + 11*g - 8. Suppose 16*z + 8 = 18*z. Let y be s(z). Suppose 3*t = -k - 9, -3*k + 3*t + 24 = k. Solve -k*a - y - 2 = 0 for a.
-2
Suppose 0 = 19*f - 20 - 75. Solve 4*k = 3*k + f for k.
5
Let q(v) = -3*v - 24. Let p be q(-9). Suppose 4*m + p*t = m + 36, -4*m + t = -23. Solve -27 = -4*f - m for f.
5
Let j(l) = 2*l - 10. Let d be j(7). Suppose -28*u = -29*u - 62. Let o = u + 62. Solve -d*v = -o*v - 4 for v.
1
Suppose -h = 2*o - 3*o + 10, -4*h - 30 = -3*o. Suppose -5*z = -5*x + o, 5*x - z - 27 = -1. Solve -4 = 2*k + x for k.
-5
Suppose 2*d - 7*d - 4*z - 120 = 0, z = -5. Let l be d/70*-7*1. Solve l*v - 4*v + 6 = 0 for v.
3
Let k = 26 + -3. Let w = -20 + k. Solve -9 = -w*i + 6 for i.
5
Suppose 2*s + 69 + 27 = 4*z, 0 = 4*z + 4*s - 96. Suppose 10*k + z = 12*k. Solve -8 - k = -5*w for w.
4
Suppose 11 + 1 = 2*g. Suppose -5*m = o + 23, -6*m + 3*m = 3*o + 9. Suppose 2*l = l. Solve l = -o*i - g - 0 for i.
-3
Suppose 13*h - 8 = 11*h, 4*m - h + 4 = 0. Solve m = 5*u + 107 - 82 for u.
-5
Suppose 4*y + 0*y = 20. Suppose -3*v - 2*v + 30 = -y*g, -4*g = 2*v. Solve -v*h = -h - 6 for h.
2
Suppose 0 = -2*b - 5*i - 9, -7*b + 8*b + 3 = -2*i. Solve -4*s - b - 1 = 0 for s.
-1
Suppose -4 = 4*s + 5*z, -3 = 3*s - 4*z - z. Let u = s + 21. Solve -4*m = -0*m - u for m.
5
Suppose 0*j + 4*j - 26 = 3*u, 5*j + 4*u = 17. Solve -6*t + 1 = -j*t for t.
1
Let p(w) = w**3 - w**2 - 6. Let l be p(0). Let v be 159/(-15) + l/(-10). Let z = v - -12. Solve -6 = 2*s + z for s.
-4
Suppose -3*s - 2*o + 16 = 0, -5*o = -175*s + 178*s - 31. Solve 0 = s*r + 22*r - 96 for r.
4
Suppose 10*s = 16*s - 114. Solve -s*k + 32 = -11*k for k.
4
Let t = -342 - -342. Suppose b = -2*b + 9. Solve w + t = b for w.
3
Let k(g) = g - 6. Let o = -10 + 19. Let a be k(o). Solve 7*t + 16 = a*t for t.
-4
Let i = -169 + 174. Let u(z) = 3*z**2 + z - 1. Let l be u(-2). Solve -1 = -i*t + l for t.
2
Let m b
|
{
"pile_set_name": "DM Mathematics"
}
|
xr. What is prob of picking 1 w, 1 j, and 1 r?
1/35
Three letters picked without replacement from abbbba. Give prob of picking 1 a and 2 b.
3/5
Two letters picked without replacement from {j: 10, g: 9}. What is prob of picking 2 j?
5/19
What is prob of picking 3 a when three letters picked without replacement from aaaptwpta?
1/21
What is prob of picking 1 d, 2 c, and 1 u when four letters picked without replacement from {d: 1, p: 2, u: 1, c: 4}?
3/35
Calculate prob of picking 1 j and 3 h when four letters picked without replacement from {y: 4, h: 3, j: 7}.
1/143
Two letters picked without replacement from {h: 1, p: 2, d: 3, g: 1, q: 3}. Give prob of picking 1 p and 1 d.
2/15
Four letters picked without replacement from vevehihidvep. Give prob of picking 1 h and 3 v.
2/495
Two letters picked without replacement from zszsssz. What is prob of picking 2 z?
1/7
Calculate prob of picking 1 a, 1 l, and 2 y when four letters picked without replacement from ymlmylyaylyylyylmmm.
35/969
What is prob of picking 1 e and 2 p when three letters picked without replacement from {e: 1, t: 1, f: 3, x: 2, p: 5, u: 1}?
5/143
Three letters picked without replacement from ggqfgjjbgjggbqgj. Give prob of picking 1 f, 1 q, and 1 j.
1/70
Three letters picked without replacement from firkgtk. Give prob of picking 1 t and 2 k.
1/35
Calculate prob of picking 3 p when three letters picked without replacement from oqooppgmwgpw.
1/220
What is prob of picking 1 a and 1 z when two letters picked without replacement from {o: 1, a: 2, t: 2, z: 2, b: 1, y: 1}?
1/9
What is prob of picking 1 y and 1 p when two letters picked without replacement from {g: 2, p: 2, a: 5, y: 3, s: 3}?
2/35
Three letters picked without replacement from qqqqqqq. What is prob of picking 3 q?
1
Two letters picked without replacement from {m: 2, f: 7}. What is prob of picking 2 m?
1/36
Two letters picked without replacement from {c: 5, q: 9}. What is prob of picking 1 c and 1 q?
45/91
What is prob of picking 2 d and 1 y when three letters picked without replacement from {y: 8, d: 2, p: 2, h: 2}?
2/91
Two letters picked without replacement from cwwcwwwcccwww. What is prob of picking 1 w and 1 c?
20/39
Calculate prob of picking 3 s and 1 m when four letters picked without replacement from ssmssmsssmsslsssssss.
112/323
Calculate prob of picking 1 g and 2 m when three letters picked without replacement from mgmmmmg.
4/7
Two letters picked without replacement from {h: 2, s: 3, m: 3}. What is prob of picking 2 m?
3/28
Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {s: 2, y: 10}.
10/33
Three letters picked without replacement from yxxxxyxykxxyxyxykxx. What is prob of picking 2 x and 1 y?
110/323
Two letters picked without replacement from {y: 6, o: 7}. What is prob of picking 1 y and 1 o?
7/13
Four letters picked without replacement from quuuumuimiim. Give prob of picking 1 u and 3 m.
1/99
What is prob of picking 1 c and 1 m when two letters picked without replacement from qbbkkmkkcckqqmbcqmb?
1/19
Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, x: 1, s: 5}.
1/12
What is prob of picking 1 x and 1 q when two letters picked without replacement from {v: 3, q: 2, m: 4, n: 2, x: 1}?
1/33
What is prob of picking 1 j, 2 x, and 1 q when four letters picked without replacement from {x: 5, q: 2, e: 1, i: 3, f: 1, j: 3}?
4/91
Three letters picked without replacement from {t: 1, m: 7, n: 10}. What is prob of picking 3 t?
0
Three letters picked without replacement from keyzzdm. Give prob of picking 1 m, 1 e, and 1 z.
2/35
Two letters picked without replacement from jje. Give prob of picking 1 j and 1 e.
2/3
Two letters picked without replacement from wrxwzzlwxzlxr. Give prob of picking 1 w and 1 r.
1/13
Three letters picked without replacement from {n: 6, z: 3, o: 2, w: 2}. Give prob of picking 2 z and 1 w.
3/143
What is prob of picking 2 g and 2 b when four letters picked without replacement from {g: 3, b: 2, k: 1, r: 1}?
3/35
Three letters picked without replacement from {l: 3, c: 11}. What is prob of picking 3 c?
165/364
What is prob of picking 1 g and 1 y when two letters picked without replacement from gegy?
1/3
Two letters picked without replacement from wwrwwwwwwwwwwww. What is prob of picking 1 r and 1 w?
2/15
Three letters picked without replacement from {r: 1, z: 2, y: 3, o: 1, t: 1, l: 3}. What is prob of picking 2 z and 1 o?
1/165
Three letters picked without replacement from {c: 4, s: 1, e: 5, f: 4, j: 3, t: 1}. Give prob of picking 1 t, 1 c, and 1 f.
1/51
What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 1, x: 1, f: 1, j: 2}?
1/10
Two letters picked without replacement from vvwvwwwwwwwvv. What is prob of picking 1 w and 1 v?
20/39
Four letters picked without replacement from mmmmmmmmvmmmv. What is prob of picking 2 m and 2 v?
1/13
Four letters picked without replacement from eeee. Give prob of picking 4 e.
1
Four letters picked without replacement from bjlnnndddbldddc. Give prob of picking 1 j, 1 c, and 2 d.
1/91
Three letters picked without replacement from {o: 6, h: 4}. Give prob of picking 1 o and 2 h.
3/10
Three letters picked without replacement from bbnububnbnnub. Give prob of picking 3 u.
1/286
Two letters picked without replacement from eoejjejwpejkjkjpo. Give prob of picking 2 o.
1/136
Three letters picked without replacement from ffwfftvfftftvftt. Give prob of picking 2 t and 1 w.
1/56
Two letters picked without replacement from fffffdfdfff. What is prob of picking 2 f?
36/55
What is prob of picking 1 n, 1 a, and 1 x when three letters picked without replacement from {n: 4, p: 1, x: 2, a: 1, f: 2}?
1/15
Two letters picked without replacement from {x: 4, y: 5, k: 1, i: 1, a: 4}. Give prob of picking 2 y.
2/21
Two letters picked without replacement from {r: 4, m: 6}. Give prob of picking 2 m.
1/3
Three letters picked without replacement from {y: 11, r: 1, i: 2, p: 1, u: 3}. What is prob of picking 1 p, 1 y, and 1 r?
11/816
Three letters picked without replacement from {n: 3, d: 1, e: 2, q: 6, h: 1, a: 2}. Give prob of picking 1 n and 2 a.
3/455
What is prob of picking 2 j and 2 w when four letters picked without replacement from {w: 13, j: 6}?
195/646
Calculate prob of picking 4 f when four letters picked without replacement from {v: 5, s: 1, f: 4, m: 1, r: 7, g: 1}.
1/3876
Calculate prob of picking 2 z when two letters picked without replacement from {a: 1, z: 2, i: 7, d: 5, y: 1}.
1/120
What is prob of picking 1 k and 1 n when two letters picked without replacement from mknjamnanmnjmn?
5/91
Two letters picked without replacement from {z: 7, d: 3}. Give prob of picking 2 d.
1/15
Calculate prob of picking 1 n and 1 p when two letters picked without replacement from pnpkdgnxxpxp.
4/33
What is prob of picking 1 c and 1 s when two letters picked without replacement from {c: 4, s: 16}?
32/95
Four letters picked without replacement from {t: 3, l: 7, x: 1, k: 1, p: 4}. What is prob of picking 2 k, 1 p, and 1 t?
0
What is prob of picking 1 l and 1 c when two letters picked without replacement from feceyul?
1/21
What is prob of picking 1 a and 2 v when three letters picked without replacement from {a: 2, v: 3}?
3/5
What is prob of picking 4 o when four letters picked without replacement from {o: 10}?
1
Calculate prob of picking 3 m and 1 s when four letters picked without replacement from mmmmsmmmyyyymmhh.
3/65
Four letters picked without replacement from jstesejststtt. What is prob of picking 1 j and 3 s?
8/715
Calculate prob of picking 1 c, 1 r, and 1 h when three letters picked without replacement from rvccppcvcevvhvrreve.
4/323
What is prob of picking 1 j, 1 t, 1 q, and 1 o when four letters picked without replacement from swswttsotqjt?
4/495
Four letters picked without replacement from {y: 10, j: 4}. What is prob of picking 2 y and 2 j?
270/1001
Calculate prob of picking 1 i, 1 p, and 1 a when three letters picked without replacement from ppipdddaidiaddar.
27/560
Two letters picked without replacement from aaadaaadaaaa. What is prob of picking 2 a?
15/22
Three letters picked without replacement from ooiwowiviijoooir. Give prob of picking 1 j, 1 v, and 1 i.
1/112
Calculate prob of picking 3
|
{
"pile_set_name": "DM Mathematics"
}
|
is the remainder when 66297 is divided by 195?
192
Calculate the remainder when 17342 is divided by 2382.
668
Calculate the remainder when 1316 is divided by 46.
28
Calculate the remainder when 385285 is divided by 21.
19
What is the remainder when 2478 is divided by 395?
108
What is the remainder when 6263 is divided by 320?
183
Calculate the remainder when 10411 is divided by 81.
43
What is the remainder when 27525 is divided by 57?
51
Calculate the remainder when 8417 is divided by 843.
830
What is the remainder when 63352 is divided by 4?
0
What is the remainder when 1307 is divided by 380?
167
Calculate the remainder when 3369 is divided by 491.
423
Calculate the remainder when 1190 is divided by 443.
304
Calculate the remainder when 496 is divided by 72.
64
Calculate the remainder when 6743 is divided by 1003.
725
Calculate the remainder when 8300 is divided by 1376.
44
What is the remainder when 5181 is divided by 2238?
705
What is the remainder when 8946 is divided by 66?
36
What is the remainder when 1646 is divided by 266?
50
What is the remainder when 89144 is divided by 19?
15
What is the remainder when 905146 is divided by 1156?
1154
Calculate the remainder when 717 is divided by 13.
2
Calculate the remainder when 53580 is divided by 33.
21
Calculate the remainder when 180485 is divided by 573.
563
Calculate the remainder when 8308348 is divided by 7.
6
Calculate the remainder when 2297 is divided by 23.
20
What is the remainder when 45371 is divided by 1464?
1451
Calculate the remainder when 2316 is divided by 220.
116
Calculate the remainder when 187120 is divided by 693.
10
What is the remainder when 4689 is divided by 521?
0
What is the remainder when 3914 is divided by 643?
56
What is the remainder when 2377 is divided by 2250?
127
What is the remainder when 36046 is divided by 8972?
158
What is the remainder when 94044 is divided by 92?
20
Calculate the remainder when 1976 is divided by 197.
6
What is the remainder when 52207 is divided by 532?
71
What is the remainder when 190354 is divided by 53?
31
What is the remainder when 1138 is divided by 875?
263
Calculate the remainder when 1911601 is divided by 154.
153
What is the remainder when 12643 is divided by 3?
1
What is the remainder when 868 is divided by 71?
16
What is the remainder when 2361958 is divided by 881?
878
What is the remainder when 13219 is divided by 6439?
341
Calculate the remainder when 17493 is divided by 763.
707
What is the remainder when 10738 is divided by 9?
1
What is the remainder when 21787 is divided by 21403?
384
What is the remainder when 129224 is divided by 1346?
8
What is the remainder when 12566 is divided by 12191?
375
Calculate the remainder when 1117 is divided by 93.
1
Calculate the remainder when 78601 is divided by 1483.
2
What is the remainder when 124440 is divided by 87?
30
What is the remainder when 29978 is divided by 95?
53
Calculate the remainder when 1183541 is divided by 878.
875
What is the remainder when 1971 is divided by 736?
499
Calculate the remainder when 475190 is divided by 211.
18
Calculate the remainder when 147796 is divided by 452.
444
What is the remainder when 1439 is divided by 110?
9
What is the remainder when 6841 is divided by 3290?
261
Calculate the remainder when 2175 is divided by 81.
69
Calculate the remainder when 3465 is divided by 35.
0
Calculate the remainder when 109533 is divided by 109513.
20
Calculate the remainder when 1414 is divided by 18.
10
What is the remainder when 10608 is divided by 5304?
0
What is the remainder when 579 is divided by 561?
18
Calculate the remainder when 146228 is divided by 60.
8
What is the remainder when 25442 is divided by 1114?
934
Calculate the remainder when 5521 is divided by 325.
321
Calculate the remainder when 54566 is divided by 343.
29
Calculate the remainder when 6526 is divided by 139.
132
What is the remainder when 1064 is divided by 169?
50
Calculate the remainder when 476777 is divided by 103.
93
Calculate the remainder when 188534 is divided by 62.
54
What is the remainder when 278854 is divided by 72?
70
What is the remainder when 342376 is divided by 10?
6
What is the remainder when 1146539 is divided by 144?
11
Calculate the remainder when 55700 is divided by 32.
20
Calculate the remainder when 78105 is divided by 39.
27
Calculate the remainder when 65558 is divided by 2427.
29
What is the remainder when 9062 is divided by 29?
14
Calculate the remainder when 92559 is divided by 765.
759
Calculate the remainder when 110962 is divided by 226.
222
What is the remainder when 3691 is divided by 902?
83
Calculate the remainder when 5262 is divided by 103.
9
Calculate the remainder when 1324139 is divided by 13.
11
What is the remainder when 11092 is divided by 583?
15
What is the remainder when 157917 is divided by 376?
373
Calculate the remainder when 14309 is divided by 683.
649
What is the remainder when 51172 is divided by 21?
16
Calculate the remainder when 106006 is divided by 693.
670
What is the remainder when 886 is divided by 90?
76
What is the remainder when 222625 is divided by 117?
91
What is the remainder when 1264 is divided by 146?
96
What is the remainder when 376063 is divided by 128?
127
What is the remainder when 3961 is divided by 254?
151
Calculate the remainder when 101072 is divided by 280.
272
What is the remainder when 4781 is divided by 2319?
143
What is the remainder when 42465 is divided by 730?
125
Calculate the remainder when 1589 is divided by 86.
41
Calculate the remainder when 588060 is divided by 147010.
20
Calculate the remainder when 20882 is divided by 454.
452
What is the remainder when 8374 is divided by 49?
44
What is the remainder when 69270 is divided by 12?
6
What is the remainder when 10546 is divided by 377?
367
What is the remainder when 5750 is divided by 555?
200
Calculate the remainder when 11846 is divided by 40.
6
What is the remainder when 110706 is divided by 3352?
90
What is the remainder when 68533 is divided by 21?
10
Calculate the remainder when 13674 is divided by 4555.
9
Calculate the remainder when 7096 is divided by 1772.
8
What is the remainder when 50179 is divided by 474?
409
Calculate the remainder when 6679 is divided by 393.
391
Calculate the remainder when 1497 is divided by 14.
13
Calculate the remainder when 63829 is divided by 347.
328
Calculate the remainder when 10303 is divided by 1286.
15
Calculate the remainder when 9603 is divided by 73.
40
What is the remainder when 2298480 is divided by 1334?
1332
What is the remainder when 25896 is divided by 959?
3
What is the remainder when 120837 is divided by 332?
321
What is the remainder when 62003 is divided by 103?
100
Calculate the remainder when 51771 is divided by 357.
6
Calculate the remainder when 9378 is divided by 722.
714
What is the remainder when 800 is divided by 196?
16
Calculate the remainder when 12129 is divided by 635.
64
Calculate the remainder when 3271 is divided by 419.
338
Calculate the remainder when 120582 is divided by 362.
36
What is the remainder when 32254 is divided by 28?
26
Calculate the remainder when 5703 is divided by 2173.
1357
Calculate the remainder when 18931 is divided by 18918.
13
Calculate the remainder when 15049 is divided by 14995.
54
What is the remainder when 6348 is divided by 2114?
6
Calculate the remainder when 5656 is divided by 27.
13
What is the remainder when 7206 is divided by 2602?
2002
What is the remainder when 278 is divided by 115?
48
What is the remainder when 113648 is divided by 3247?
3
What is the remainder when 7685 is divided by 2831?
2023
Calculate the remainder when 2951724 is divided by 19.
17
What is the remainder when 102301 is divided by 37?
33
Calculate the remainder when 23767 is divided by 5907.
139
What is the remainder when 804 is divided by 58?
50
Calculate the remainder when 779215 is divided by 157.
24
What is the remainder when 617622 is divided by 617618?
4
What is the remainder when 422 is divided by 23?
8
Calculate the remainder when 2433 is divided by 1122.
189
Calculate the remainder when 7142 is divided by 3568.
6
Calculate the remainder when 17392 is divided by 4327.
84
What is the remainder when 1291 is divided by 23?
3
What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose -2*g - 3*h = 283, -144 = 2*g - g - h. Which is smaller: g or o?
g
Let g(i) = 7*i - 2. Let t be g(2). Let p be t*(-2)/(-6)*(-13 - -14). Suppose -1 = 4*f - 3*v + 2, -5*f + p*v - 4 = 0. Is f < -2/35?
False
Let m be (-2)/20 - (-961)/10. Let k = 63 - m. Let u = k + 52. Is 20 at least as big as u?
True
Let a be 7 + (10/(-95) - 1703/247). Which is greater: -35/286 or a?
a
Let h(r) = 41*r - 331. Let p be h(8). Which is smaller: -99/35 or p?
p
Let h(i) = -8*i**3 - 36*i**2 + i + 1. Let o be h(1). Is -17 != o?
True
Suppose 0 = -p - 3*c - 13, -2*p + 5*c - 3*c = 18. Let i(s) = -s**2 - 11*s - 6. Let n be i(p). Suppose 4*a - n*z + 16 = 0, -2*a + 6*a - 2*z + 6 = 0. Does a = 1?
True
Let x be (13132/(-48) - 1)*(-4 - 55/(-22)). Which is greater: 411 or x?
x
Let i = 41213 - 49244. Which is bigger: i or 1/2?
1/2
Let m(l) = -26*l - 14. Let v(k) = k. Let t(f) = m(f) + 12*v(f). Let x be t(-4). Let d be 10/x*(-10)/(-25). Is d equal to 1?
False
Let u be (((-306)/54108)/((-8)/(-24)))/(1/(-3)). Which is smaller: u or 0?
0
Suppose -15*n + 20*n = -50. Let l be n - -12 - 39/(-2). Which is bigger: -1 or l?
l
Let h = 6/4207 - 14204/4059755. Do -1 and h have the same value?
False
Let s be 4 - (20/(-8))/(-5)*940. Is -1 less than s?
False
Let f = 13033/5764 + -16/1441. Suppose 8 = -4*w + 3*k - 0*k, 0 = 2*w - 5*k + 18. Do f and w have the same value?
False
Let s be (928/(-32) + 25)*2/86. Let l(w) = w + 3. Let z be l(-2). Which is smaller: s or z?
s
Let u = 13 - 12.9. Suppose 2774 + 8026 = -180*y. Is y < u?
True
Let r = -31245 + 34808. Is r < 3563?
False
Suppose 8821 = -99*f - 1426 - 18364. Is f <= -284?
True
Let y(w) = w**3 - 23*w**2 + 49*w - 138. Let p be y(26). Are p and 3161 equal?
False
Suppose 8*d - 2587 = 3*d + 2*x, -4*d + 4*x + 2084 = 0. Which is bigger: 1 or d?
d
Let k = 0.6002 + -1.1002. Is -13/80 at most k?
False
Suppose 5315 = -4*n + 1551. Let p = n + 4907/5. Is 40 less than or equal to p?
True
Suppose -3*l + 4*c - 2 = 0, -4*l + l + 16 = 5*c. Suppose 7 = -l*x - y, -2*x = -3*y + 2*y + 9. Let k = -944 + 942. Which is bigger: x or k?
k
Let p(z) = 29*z. Let a be p(-1). Let d = a + 11. Let m be (3/(d/8))/(-41 + 7). Is m at least -1?
True
Suppose 44*b = -3*k + 46*b + 3, 4*k + 3*b + 13 = 0. Which is bigger: -2/3331 or k?
-2/3331
Let i = -75.942423 + -0.057577. Let v be 2/8 - -3 - 3. Which is smaller: i or v?
i
Let m(x) = 604*x - 3930. Let s be m(7). Which is smaller: 314 or s?
s
Let a(m) = m**3 - 3*m**2 - 1. Let t be a(3). Let v be (t/5)/(2/(-10)). Let l(p) = -156*p - 9831. Let o be l(-63). Which is bigger: o or v?
v
Suppose -5*r = -4*s - 588, -4*s = -4*r + 2*r + 228. Let w = 55 + -55. Suppose 2*b + 36 = -y, -4*y + 4*b - r = -w*b. Is -33 greater than or equal to y?
False
Let b = -270.7 - 89.3. Let v = 363 + b. Does v = 4?
False
Let q = -1880 - -1881.227. Let m = q - 0.227. Is -23 < m?
True
Let k = 0.666 + -5.826. Let t = k + 5.16. Is 314 less than or equal to t?
False
Let q be (-16 + 17)*(-6 - -6). Which is bigger: q or -2/8529?
q
Let x(w) = 310*w - 1780. Let b be x(11). Which is bigger: 3261/2 or b?
3261/2
Let s = 29 - 53. Let r be 5/6 - 4/s. Let d be -4*(r/2 + 3). Which is smaller: -13 or d?
d
Let j = -2/5084655 - 121867316141/35592585. Let q = 3423 + j. Which is smaller: -1 or q?
-1
Let o be (-413)/(-118) - 22402/6400. Does 0 = o?
False
Let j = 440/819 - 852154/1586403. Is j greater than 0?
True
Let z be 5 + 22/(-29139)*6630. Are z and -1 nonequal?
True
Let b be 2/4*-6 + -11. Let a be 4/b*16/192. Suppose 2 = 5*g - 3. Which is smaller: a or g?
a
Suppose 4*b - 28 - 4 = 0. Let f = -1077 - -1134. Suppose 5*r + 3*c + 61 = 0, -b = 4*r - 3*c + f. Are -13 and r unequal?
True
Let p = 47.52 - -177.98. Which is smaller: -1 or p?
-1
Let u(p) = p**2 - 81*p + 706. Let h be u(71). Which is bigger: h or 1162?
1162
Let n = -0.08 + -0.018. Let v = -2471 + 2470.998. Let i = n + v. Is 0 equal to i?
False
Let c = -3850 + 3699. Which is bigger: c or -149?
-149
Let i(q) = -343*q - 1397. Let d be i(-4). Suppose 4*n + 72 = n. Is n greater than or equal to d?
True
Let x = 7167 + -7167.2. Which is greater: x or 11/512?
11/512
Let f = 2359 + -2353. Which is smaller: f or 124/27?
124/27
Let j = -10 + -382. Let b = j - -431. Is b < 0.01?
False
Let u = -5858.949 + 5838. Let v = 0.051 - u. Suppose 0*b + 5*o = -4*b - 20, 4*o + 16 = -3*b. Which is smaller: v or b?
b
Let j(q) = -3 + 3 + 0*q + 11 - 3 + 12*q. Let l be j(-42). Which is smaller: -495 or l?
l
Let x = -8895 + 9835. Is x < 943?
True
Let h be (10 + 2)/6*((-79378)/19848 - -4). Is h at most as big as -1?
False
Suppose 2*h = m + 13, -16*h = 3*m - 12*h - 1. Let n be 15 + (-3 - m) - 7. Is n smaller than 10?
False
Let r be 284126/(-91332) - -3 - (-5)/45. Is 0 not equal to r?
True
Suppose -4320 = 63*q - 69*q. Let u = q + -1284. Let j = -12976/23 - u. Is j at most 0?
True
Let z be 1*(-7)/(-2310)*-944134. Let h = -2861 - z. Is 0 bigger than h?
False
Suppose 5*w - 16 = 7*w - 4*s, -5*w = -2*s. Suppose 0 = -5*h - 3*j + 830, 4*h - 3*h - 173 = -w*j. Is h <= 163?
True
Let x be -3 + 14/6 - (-708560)/(-60) - 8. Which is smaller: x or -11819?
-11819
Let s be 15/27*1728/(-135). Is s > -8?
True
Let s = 2606614/1833 - 18468/13. Is s bigger than 1?
True
Let m be ((-7)/14)/(267/(-24) - -6). Which is bigger: -0.026 or m?
m
Let s be (10/(-8))/((-12)/(-48)). Suppose 42 = 6168*k - 6182*k. Do s and k have different values?
True
Suppose 23 = 4*b + 3*x, 2*x - 6*x + 20 = 0. Suppose -3*n = -v - 131 - 112, b*v - 394 = -5*n. Which is smaller: 81 or n?
n
Let k(t) = -t**2 + 7*t - 4. Let w be k(6). Suppose -3*d = w*d - 55. Suppose -2*z = 8*q - 56, 0 = -154*z + 157*z - q - 32. Which is greater: d or z?
z
Suppose 3*g = 3, 24*b + 8*g = 19*b + 3. Which is greater: b or 90/389?
90/389
Suppose 0 = 5*l + 3*z + 25024 + 4518, -l - 5922 = 4*z. Let q = l + 29059/5. Let b = -93 - q. Is b less than 0?
False
Let f = 26 - 28. Let g be ((-40)/20)/(f/(-26)). Let m be 1/9 - g/(-234). Is -2/15 > m?
False
Let m = -8 + 47. Let g = -2164 + 2201.6. Let w = g - m. Is -2 < w?
True
Let c = 12/395 + -80/553. Suppose -3*d + 4320 = 12*d. Let p = -288 + d. Are p and c non-equal?
True
Let l = -76/17865 - 483881/4680630. Let f = 1/131 + l. Which is bigger: -2 or f?
f
Let x = -0.3 + -0.7. Let q = -0.214 + 0.464. Let o = q - -8.75. Which is smaller: x or o?
x
Suppose 0 = -3325*t + 3329*t + 12, -5*t - 20 = 5*l. Which is bigger: l or 3/4019?
3/4019
Let k be (5/((-135)/(-4)))/((-1194)/9)*(-3)/(-1). Let z(r) = r**3 - 4*r**2 - 4*r - 5. Let g be z(5). Is k bigger than g?
False
Let a = -36.756 - -0.156. Let f = a + 20.6. Which is smaller: f or -3?
f
Let d = -775 - -1236. Let x = -334 + d. Is x greater than or equal to 125?
True
Let j = -37033455159/95444966 - -367/354814. Let n = 388 + j. Suppose 0 = -k - 1 + 2. Is n at most as big as k?
True
Let j = -12192 - -11978. Which is smaller: j or -5?
j
Let d = 3060 + -3065. Is d at least -72/19?
False
Let h be 24 - 14 - (2706/168 + -3). Is h at most as big as -3?
True
Let i be (-235872)/(-4576) - (0 + (-12)/(-22)). Which is bigger: i or 50?
i
Let l = 2.367 + -4.367. Which is greater: l or 2/51?
2/51
Let i = 2704 + -105368/39. Let q = i - -1/13. Let j = 2922 - 2920. Does j = q?
False
Let o(g) = 1 + 3*g + 0 - 4. Let y be o(3). Let j = 2312 + -2303. Which is bigger: j or y?
j
Let p = -100.63 + -2.37. Let h = 73 + p. Is 1/4 less than h?
False
Let l = -8452 - -8456. Is 184 equal to l?
False
Let m = -1910 - -1591. Is m greater than or equal to -307?
False
Let g = 366 - 545. Let c = 103 + g. Let z = c + 75.9. Are 12/5 and z unequal?
True
Suppose 16575*o + 1524 = 16579*o. Which is bigger: 380 or o?
o
Let n = -105 + 882. Let d = 741 - n. Suppose 2*t - 70 = 4*t. Which is greater: d or t?
t
Let i = 4/2141 + -36665/143447. Which is smaller: i or 1?
i
Let c be 354 + 1/((-4)/(-60)*-3). Suppose -350*r = -c*r + 26. Is r < -126/5?
True
Suppose 4*f + 28 = 2*c, 4*f = 5*c - c - 24. Let d be 1 + f/20*-5. Suppose -d*w - 2*w = -35. Which is smaller: w or 6?
6
Let w = 332.9 - 312. Let p = -20.1 + w. Does 0.8 = p?
True
Let z be 2038/(-4068) + (-89)/(-178). Which is greater: z or 1?
1
Suppose -43*o + 41*o = 3*a - 40, -31 = -5*o + 4*a. Which is smaller: 2/73 or o?
2/73
Suppose 0 = -18*c + 541 - 4249. Let u = c + 99. Which is smaller: u or -105?
u
Let b be (16 - (459 - 0))/1. Does b = -448?
Fal
|
{
"pile_set_name": "DM Mathematics"
}
|
f)/(f**(-1/3))**(4/7))**16)**48 assuming f is positive.
f**(13120/7)
Simplify ((l/(l/(l/(l**(-4)*l))))**(-39/2)*l**(-9)/l*l**(-1/6))**11 assuming l is positive.
l**(-5819/6)
Simplify (g**(-4)*g*g/((g**4*g)/g)*g*g*g*g*g*g**4*g*g*g**8*g*g)/((g/g**(8/5))/g**(2/9)*g**(2/15)*g/g**(-4)) assuming g is positive.
g**(481/45)
Simplify r*r**1*r**7*r**(2/17)/(r/(r**1*r))*(r**(-2/23)/(r/(r/(r*r**(-6/7)))))**(-6/5) assuming r is positive.
r**(142234/13685)
Simplify ((w*w/w**(-1/41))/w*w*(w*w/w**(3/2))/w*((w/(w**23*w))/w*w)**(-43))**47 assuming w is positive.
w**(3817481/82)
Simplify ((c/(c/c**(1/8)))/c**(-3))/(c**(-1/3))**(-23)*(c**(-1/3)*c)**18*(c**(-1)/c)**(-1/3) assuming c is positive.
c**(65/8)
Simplify (((g/g**4)/g**31)/(g/(g/(g*g**(-25))))**(-3/2))**15 assuming g is positive.
g**(-1050)
Simplify (((m*m*m**(9/8)*m*m*m**17)**(-32))**(-37))**(-1/8) assuming m is positive.
m**(-6549/2)
Simplify (y**(-2/3)/y**(2/31))**(-25)/(((y*y**(2/31))/y)/y*y**8*(y*y/(y/y**(1/2)))/(y/y**(-1/4))) assuming y is positive.
y**(4079/372)
Simplify (t**(1/2)*t)**(12/7)*(t**(-6)/t)/((t/t**(-6))/t)*(t**(-2/9)*t**(-4))/(((t**(-2/9)/t)/t)/t**6) assuming t is positive.
t**(-45/7)
Simplify ((q**(2/13))**(-13))**(-12)*q**(-5/4)*q*(q*q**3)/q*q*q**(-4/7)*q/q**(-3/7) assuming q is positive.
q**(801/28)
Simplify (w/w**(-2/7)*w*(w/((w**(-5)/w)/w))/w)/(w**(-1))**(-5/17)*((w/(w**0*w))**(-15/7))**(-14) assuming w is positive.
w**(1070/119)
Simplify ((j*j**(4/5))/(j*j*j**(-2/11)))/(j**(1/3)*j)**(-4)*(j/j**(-1/3))**(7/6)*(j/j**4)/(j*(j**(4/3)/j*j)/j) assuming j is positive.
j**(1256/495)
Simplify (r**(-1)*r*r*r**2*r)**(-35)*r**(-3/2)*r*r/r**(2/9)*(r**(-1/3))**(-34) assuming r is positive.
r**(-2311/18)
Simplify (((i**(-1/2)/(i/(i**(-2/9)/i)))**35)**(2/33))**(2/37) assuming i is positive.
i**(-3430/10989)
Simplify ((m**(3/10)*m)**(17/5)/(m**(32/3)/m**(-8/3)))**15 assuming m is positive.
m**(-1337/10)
Simplify ((u**1)**(-2/41)*u**(-1/2)/((u*u*(u/u**3)/u)/u))/(u**(-5)/u**(-2/3)*(u*u**(-1))/u**(-1/3)) assuming u is positive.
u**(447/82)
Simplify (h**(-2/21)/h)/(h*h**(-3/8))*h/h**(-3/4)*h**(-1/4)*(h*h**(-2/7)*h)/(h**(2/27)/h)*(h/h**5)/(h*h**(1/4)*h) assuming h is positive.
h**(-5791/1512)
Simplify (m**(-3/5)/m*m**(10/11)*(m*m*m**(-2/7)*m)**(-16))**(-38) assuming m is positive.
m**(645468/385)
Simplify (k/((k**(-2)*k)/k)*k*k**6)/((k**1/k)/k**(-9/4)) assuming k is positive.
k**(31/4)
Simplify (((c/c**5)/c**(2/5))/(c**1/c)**6)/(((c**1/c)/c)**(-42)*c**(2/19)/(c*c/(c/(c**(-1/6)*c)*c)*c)) assuming c is positive.
c**(-25463/570)
Simplify (f**(-1/14)*f**(-5/6))**7/((f/(f**3*f))**(-44))**(-2/23) assuming f is positive.
f**(355/69)
Simplify v**(-13/4)/(v**(10/3)/v*v)*(v*(v*v*v/v**(-8)*v)/v)/(v**2*v) assuming v is positive.
v**(29/12)
Simplify ((s*s/(s*s**(2/11)*s))/(s/s**(1/6))*(s*s**(-2/21))/s*s/(s/(s/(s*s**(-1/15)/s))))/((s*s**(-1/4)*s)**(-3))**39 assuming s is positive.
s**(945743/4620)
Simplify ((((r*r**(1/4)*r)/(r/r**2))/(r/r**(-2/5))**(13/3))**24)**12 assuming r is positive.
r**(-4056/5)
Simplify (h**(-6)*h*h**6*h**(2/5)*((h**(-2/17)*h)/h)/h*h)/((h**(2/7)/(h*h/(h**(3/5)*h)))/((h/(h/(h/h**(-1/4))))/(h**(2/5)/h))) assuming h is positive.
h**(7727/2380)
Simplify ((j/(j**7/j))/(j**4*j)*j/j**6*j/(j**(-4)*j*j)*j)/((j**(-7)/(j/j**(-2/9)))/(j**1)**(-2/7)) assuming j is positive.
j**(-193/63)
Simplify ((p**(2/9)*p*p/((p/p**(-1/3)*p)/p)*p*p*p)/(p**(-2/7)/(p*p*p**(-2/13)*p)))**(-43) assuming p is positive.
p**(-247250/819)
Simplify ((b**(-1))**(-2/7)*b**(-2/7)*b**2)/(b**(-2/3)*b/(b**(4/5)*b)*(b**(-2/7))**(-8)) assuming b is positive.
b**(124/105)
Simplify ((r/r**8)/r**(-7))/(r/((r**(1/4)/r)/r))**(2/7)*(r**(-1)*r)**(-1/51)*r**1*r*r*r/(r*r**(4/11)) assuming r is positive.
r**(285/154)
Simplify (c**10/c*c/c**(5/7)*c)**(-3/2)*c*c**7*c/(c/(c**(-7)/c)*c)*(c*c**(3/8))/c*c**3/c assuming c is positive.
c**(-787/56)
Simplify (i/i**(-2/51)*i**(-6/11)*i)/(i*i**(3/22)*i)**6 assuming i is positive.
i**(-6353/561)
Simplify (((d*d**(-2))/d*d)/d**(2/5))**(13/5)/(((d**(1/3)/d)/((d*d**(1/8)*d)/d))/(d*((d**1*d)/d)/d)**(11/5)) assuming d is positive.
d**(211/600)
Simplify (c**47/(c*c**(1/14)))/(c/(c*(c/(c/((c**46/c)/c*c)))/c)*(c/c**(-48))/c*c) assuming c is positive.
c**(573/14)
Simplify (((z**0/z)**(-2/101)*(z/z**(-4))/z**(-6))**(-6))**(-5/12) assuming z is positive.
z**(5565/202)
Simplify ((u/(u/(u/(u*u**(2/9))))*u**(-4)*u**(-3)/((u/u**(1/8))/u))**(13/2))**(-23) assuming u is positive.
u**(152789/144)
Simplify ((c**(2/5))**(-30)/(((c**(-6)*c)/c)/(c**(1/12)/c)))/(c**(1/6)/(c*c**2)*(c**0/c*c)/((c*c/(c*c*c/(c/(c/(c**(1/5)/c))))*c)/c)) assuming c is positive.
c**(-353/60)
Simplify ((m**20*m*m/(m/((m/(m*((m*m*m**(-4/11)*m*m)/m)/m)*m)/m*m*m)))/(m**(-5/4)*m**(2/31)))**20 assuming m is positive.
m**(153785/341)
Simplify ((y**(-2/5)*y)/y**(-2/11)*(y**8)**(1/27))**(-1/3) assuming y is positive.
y**(-1601/4455)
Simplify (((o*o/(o*o**3*o)*o)/o**0*(o**(-1/4))**27)**(-3))**(17/3) assuming o is positive.
o**(595/4)
Simplify (((y*(y**2/y)/y)**(-3/7))**(-3/23))**41 assuming y is positive.
y**(369/161)
Simplify ((h**(-1/8)/((h*(h*h**6)/h*h)/h))/(h/((h**7/h)/h)*h**(-2/11)))/(((h*h**(-5))/h)/h*h**(2/3)*(h**0)**(-38)) assuming h is positive.
h**(631/264)
Simplify ((((y*y**(1/11)/y)/y)/y**(2/7))/(y**1*y/(y/(y/(y/(y*y/(y*y**(-7)))*y*y)))*y))/((y**1/y**(-4))/(y/y**2)**(3/19)) assuming y is positive.
y**(-20998/1463)
Simplify (u**(2/5))**(-32)*(u/(u*u*u**(-1)))**(-4/5)*((u*u/u**(-1/2))**49)**(-14/3) assuming u is positive.
u**(-8767/15)
Simplify (((p*p*(p/p**(-1/7))/p)/((p*((p/p**11)/p)/p*p)/p))/((p*p/(p/((p/p**(-5/7))/p)))/p*p*p/p**19))**(5/7) assuming p is positive.
p**(1030/49)
Simplify ((g*g/g**26*g)/g*g*g/g**40*g**(1/22)*g/((g/(g*g**0))/g*g*g))**(-10/9) assuming g is positive.
g**(6815/99)
Simplify (y**0/y**5)**(-17)/((y/(y/(y**(-3)*y))*y**(-4))/(y**(2/3)/y)**11) assuming y is positive.
y**(262/3)
Simplify (((c**(-5/4)/c*c*c)/(c*c/(c*c*c*c/c**(-3/7)))*c*c**1*c*c**(-2/15))**41)**(-33/5) assuming c is positive.
c**(-955669/700)
Simplify (((b**(-3)/b)/b)**(-14/11)*b*b**(5/6)*b*b*b**(-15))**29 assuming b is positive.
b**(-9193/66)
Simplify ((s*s*s*s**(2/25)*s)/((s*s/(s**(2/23)/s))/s))**27/((s/((s/(s*s/(s/s**(-1/3))*s))/s))**(1/58))**(-25) assuming s is positive.
s**(2984354/50025)
Simplify (((d**(-9)/d)/d*d)**(1/5)*(d*d*d**(-1/2)*d)**(3/34))**(-49) assuming d is positive.
d**(5929/68)
Simplify (((s*((s**(1/12)*s)/s*s)/s)/s*(s*s**33)/s)/(s**(-24/11)/(s*s*s**(6/7))))**2 assuming s is positive.
s**(35225/462)
Simplify ((d**8*(d*((d*d*d*d**14*d)/d)/d*d)/d)/((d*d/(d/d**(1/3)))/d*d/(d**(-23)*d*d)*d))**34 assuming d is positive.
d**(170/3)
Simplify ((g**(2/7)*g*((g*g*g/(g/(g**6*g)))/g)/g*(g*g**1)**38)**(7/5))**(-8/3) assuming g is positive.
g**(-944/3)
Simplify ((y/y**(-5))**33/(y**9/((y/y**(-7))/y)))**(-34) assuming y is positive.
y**(-6664)
Simplify ((a**(-1/3))**40)**31*(a*a**(-1/3)*a)/((a/(a/(a/((a/(a/a**(-1)))/a))))/a)*a**4/(a*a/(a**(-3)/a)) assuming a is positive.
a**(-1247/3)
Simplify ((i/i**(-1/8))**(-16)*i**(18/7)*i**(-7/6))**5 assuming i is positive.
i**(-3485/42)
Simplify (k**(4/9)/k**5*(k**(2/7)/k)**(-17))/(k**(6/7)/(((k/(k/(k*k*k/(k**(-1)*k)))*k)/k)/k*k)*((k*k**(2/7)*k)/k)**(27/4)) assuming k is positive.
k**(265/252)
Simplify (((z**(-10/7)*z)/z)/((z/z**(11/2))/z))/(z**(-15/2)*z**(-25/4)) assuming z is positive.
z**(499/28)
Simplify ((y*y**(5/7)*y)/(y/y**(-4))*((y*(y**(3/7)*y)/y)/y)/(y**(-1)*y))**(1/23) assuming y is positive.
y**(-13/161)
Simplify ((((k*k*(k*k/(k/(k*k**(-3/5)/k)*k))/k)/(((k*k**22*k)/k)/k))**(2/183))**(-20))**28 assuming k is positive.
k**(8064/61)
Simplify (x**2/(x*x**(-8)/x*x)*x/(x*x/(x/((x**(1/2)/x)/x))*x)*x/((x*(x*x**(1/2))/x)/x))**(-37) assuming x is positive.
x**(-370)
Simplify (u**(-2/7)*u*u)**(-43)*(u*u**(-2/5))/(u/(u/((u*u*u/(u*(u/u**6*u*u)/u*u)*u*u)/u)))*(u**(3/10)*u*(u*(u**(-11)/u*u)/u)/u)**(-2/87) assuming u is positive.
u**(-240154/3045)
Simplify ((((u**4)**34)**(-9))**(-33))**23 assuming u is positive.
u**929016
Simplify (k/k**1*k/k**6)**(3/25)/((k**(-2/5))**(-17))**(8/7) assuming k is positive.
k**(-293/35)
Simplify (((d/((d*d/(d/(d**19/d)))/d))/(d*d*d*d**(-4/13)*d*d*d))/(d*d/(d/d**18)*d**9))**(-2/5) assuming d is positive.
d**(1318/65)
Simplify ((r**(1/3))**(-18/7)*((r**(-13)*r)/r*r*r)/r**1)**(-3/2) assuming r
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3 + i**3 + 0*i**3 - i + 7*i**2 - 13 - i. Let k be m(-7). What is the third derivative of k*b**5 + 4*b**2 - b**5 - 2*b**5 wrt b?
60*b**2
Let v(z) = z**3 + 4*z**2 + 2. Let a be 40/15*3/(-2). Let k be v(a). Find the second derivative of -2*d**k - 2*d + 2*d**2 + d**3 wrt d.
6*d
Suppose -49 = -2*h + 5*y - 17, -8 = 2*y. Find the third derivative of h*l**2 + 50*l**4 - 23*l**4 - 19*l**4 wrt l.
192*l
Let w(b) be the second derivative of -b**7/70 - b**4/12 + b**2/2 - 3*b. Let y(g) be the first derivative of w(g). Find the second derivative of y(r) wrt r.
-36*r**2
Let o(v) = -16*v - 10. Let a(z) = 49*z + 30. Let b(g) = -2*a(g) - 7*o(g). Differentiate b(j) with respect to j.
14
Let l(f) = -f**3 + 6*f**2 - 7*f + 5. Let h be l(5). Let b(w) = w**3 + 6*w**2 + 4*w - 3. Let r be b(h). Differentiate s + r - s - s with respect to s.
-1
Find the third derivative of -37*t**3 + 37*t**3 + 13*t**2 - 5*t**6 wrt t.
-600*t**3
Let u = -12 - -12. Let c(j) be the second derivative of -1/3*j**3 + j + u*j**2 + 1/12*j**4 + 0. Find the second derivative of c(m) wrt m.
2
Let b(l) = -l - l**2 + 8*l - 1 - 4. Let c be b(5). What is the derivative of 1 - 3*j**2 + 0*j**2 + c*j**2 wrt j?
4*j
Let x(a) be the second derivative of -a**8/7 - 23*a**4/6 + 4*a - 4. What is the third derivative of x(l) wrt l?
-960*l**3
Let t(g) = g + 3. Let y be t(0). Suppose -y - 3 = -3*r. Find the third derivative of -2*a**2 - r*a**3 - a**2 + 0*a**2 wrt a.
-12
Differentiate 85 - 82 - 15*s**2 + 2*s**2 with respect to s.
-26*s
Let o(i) = 7*i**5 + 2*i**4 - 4*i + 2. Let c(r) = -21*r**5 - 7*r**4 + 12*r - 7. Let h(l) = -2*c(l) - 7*o(l). What is the second derivative of h(d) wrt d?
-140*d**3
Differentiate -16 - 3*y**3 + 8*y**3 + 14*y**3 - 2 wrt y.
57*y**2
Let q(i) be the third derivative of -i**6/20 - i**3 + 5*i**2. Find the first derivative of q(h) wrt h.
-18*h**2
Let s(a) be the second derivative of 4*a**7/7 - 11*a**3/6 + 25*a. Find the second derivative of s(i) wrt i.
480*i**3
Suppose -4*y = -2*y + 8, 4*j - 4*y - 24 = 0. Suppose 0 = 4*q - l - 6, 0*q = -2*q - l. What is the first derivative of q - f**2 - 3*f**j + 3*f**2 wrt f?
-2*f
Suppose 4*t = -4*o, 0 = -5*t - 0*t + 5*o. What is the second derivative of t*s**4 + 0*s**4 + 0*s + 2*s**4 - 3*s wrt s?
24*s**2
Find the third derivative of 2*i**5 + 0*i**4 + 0*i**4 - i**2 wrt i.
120*i**2
What is the third derivative of 14*l**2 - 5*l + 2*l - 8*l**4 + 3*l wrt l?
-192*l
Let u = -11 - -15. Differentiate 1 + k**u + k**4 - 4*k**2 + 4*k**2 with respect to k.
8*k**3
Let g = -3 + 7. Suppose 5*k - 8 - 2 = 0. Find the third derivative of -v**6 + k*v**2 + v**4 - v**g wrt v.
-120*v**3
Let w(q) be the second derivative of q**7/210 + q**6/360 + q**3 + 5*q. Let g(z) be the second derivative of w(z). Find the third derivative of g(p) wrt p.
24
Let v = -7 + 19. What is the derivative of -3 + 1 - 4*l**4 + l**4 + v*l**4 wrt l?
36*l**3
Let b(q) = -q**2 - 8*q + 3. Let x be b(-8). Find the first derivative of x*z**2 + 1 - 5 + 3 - 6*z**2 wrt z.
-6*z
Let k be (-4)/(-10) - (-27)/(-5). Let v = -3 - k. Find the second derivative of -2*m**3 + 0*m**3 + 5*m + 0*m - v*m wrt m.
-12*m
Let a(z) = 6*z**2 + 2*z + 1. Let l be a(-1). Let u be l - (0 - 0 - 0). Find the second derivative of 3*y - 2*y + y**u - 2*y wrt y.
20*y**3
Find the second derivative of -896*f**2 + 12*f + 896*f**2 - 9*f**5 wrt f.
-180*f**3
Let x(k) be the second derivative of k**6/3 - 11*k**3/3 + 4*k. What is the second derivative of x(w) wrt w?
120*w**2
Let y(u) be the first derivative of -17*u**4/4 - 21*u**2/2 - 8. What is the second derivative of y(o) wrt o?
-102*o
Let t(a) be the first derivative of -a**3/3 - a**2/2 + 4. Let g(d) = -7*d**2 + d - 3 - 3*d - 3*d. Let i(h) = g(h) - 5*t(h). Differentiate i(m) wrt m.
-4*m
What is the first derivative of -50*u - 42*u - 18 + 6*u**2 + 92*u wrt u?
12*u
Suppose 0 = 5*w - 10*w + v + 9, -w = -5*v + 3. Find the third derivative of -36 + 36 - f**2 + w*f**4 wrt f.
48*f
Let m(i) be the first derivative of -26*i**5/5 - 18*i**2 + 17. Find the second derivative of m(t) wrt t.
-312*t**2
What is the third derivative of -15*m**5 - 29*m**2 - 2*m**5 + 4*m**5 + 12*m**2 wrt m?
-780*m**2
Let q(c) = -54*c**3 - 60*c**2 + 14*c - 14. Let b(y) = -18*y**3 - 20*y**2 + 5*y - 5. Let u(t) = 14*b(t) - 5*q(t). What is the third derivative of u(p) wrt p?
108
Let n(p) = p**3 - 10*p**2 - p + 14. Let z be n(10). Suppose -z*r = -5*r + 5. Find the third derivative of -v**3 + v**3 + 2*v**r + 2*v**5 + 4*v**2 wrt v.
240*v**2
Let z = -1 - 0. Let p(d) = 2*d**2 + 3*d + 3. Let h(y) = y**2 + 1. Let b(f) = z*p(f) + 3*h(f). Find the second derivative of b(v) wrt v.
2
Let j(p) = -11*p**3 - 6*p + 9. Let t(v) = 4*v**3 + 5*v**3 + 3*v - 4 - 4*v**3. Let r(k) = -4*j(k) - 9*t(k). Find the second derivative of r(m) wrt m.
-6*m
Find the first derivative of 182 + 5*o**3 - 13*o**3 - 165 wrt o.
-24*o**2
Let i(c) = 3*c**3 - c + 1. Let d be i(1). Let f = 0 + d. Find the second derivative of -u - u + u**f - 3*u**3 + 5*u**3 wrt u.
18*u
Let j be (-1)/(((-6)/4)/(-3)). Let s = 4 + j. What is the derivative of 2 + 4*f**3 - 2*f**2 + 5*f**s - 3*f**2 wrt f?
12*f**2
Suppose i + i + 10 = 0, 23 = 3*o - i. Let r(y) = -y**2 - 7*y. Let m be r(-7). What is the third derivative of s**o + s**2 + m*s + 0*s wrt s?
120*s**3
Let u be 8/(-36) + 182/9. Suppose -5*i = u, -2*y - 6 = 4*i + 2. Find the third derivative of -w**2 + 3*w**4 - y*w**4 - w**4 wrt w.
-48*w
Let m(o) be the second derivative of -1/56*o**8 + 0*o**2 - 6*o + 0*o**6 - 7/12*o**4 + 0 + 0*o**3 + 0*o**5 + 0*o**7. Find the third derivative of m(g) wrt g.
-120*g**3
Find the first derivative of 14*h - 69*h - 11 + 15 + 21 wrt h.
-55
Suppose -5*r + 8 = -r. Differentiate q - r - 3*q + 2 - 3 wrt q.
-2
Find the second derivative of -22*n**2 + 0*n - 22*n**2 + 34*n**2 + 2*n wrt n.
-20
Suppose -12 = -3*j - 3*j. Let n(c) be the first derivative of -1/5*c**5 + 0*c**4 + 0*c**3 - 2*c + 0*c**2 + j. What is the first derivative of n(q) wrt q?
-4*q**3
Let g(x) be the third derivative of -x**6/120 - 5*x**4/24 + 2*x**2. What is the second derivative of g(n) wrt n?
-6*n
Let m(r) be the first derivative of -11*r**5/5 + r**3/3 - 12. Find the third derivative of m(i) wrt i.
-264*i
Let m(b) = -5*b + 1. Let d be m(-2). Suppose 2*y - 26 = -5*p, 3*y - 5*p + d = -0*p. What is the derivative of -4 + 2 + 3 + y*r**3 + 0 wrt r?
9*r**2
Suppose 3*s = 4*s - 9. Suppose 4*a - 33 = -3*f, 4*a - s - 18 = -f. What is the second derivative of 3*d + d**4 - d**4 + a*d**4 - 3*d**4 wrt d?
36*d**2
What is the third derivative of 4*o**2 - o**2 + 0*o**2 + o**6 - 5*o**6 wrt o?
-480*o**3
Let u(i) be the third derivative of -i**6/120 - i**5/12 + 4*i**2. What is the third derivative of u(w) wrt w?
-6
Suppose 0 = 3*d + 3*j - 9, -5*d - 2*j = -7*j - 15. Let i(m) = -m**3 - 5*m**2 - 3*m - 5. Let w be i(-5). Differentiate 2*s**d + w + 2*s**3 - 9 wrt s.
12*s**2
What is the second derivative of -5*q - 5*q**4 - q**5 + q + 5*q**4 wrt q?
-20*q**3
Let p(f) be the third derivative of 0*f - 7/6*f**3 - 1/24*f**4 + 8*f**2 + 0. What is the first derivative of p(n) wrt n?
-1
Let y(n) = 167*n**3 + 42*n**2 - 7*n + 4. Let j(z) = -56*z**3 - 14*z**2 + 2*z - 1. Let m(w) = 7*j(w) + 2*y(w). What is the third derivative of m(l) wrt l?
-348
Suppose 2 = -2*m + 8. Let r(n) be the second derivative of 1/2*n**2 + 0 + 0*n**4 - 1/30*n**6 + 0*n**5 + n + 0*n**m. Find the first derivative of r(b) wrt b.
-4*b**3
Suppose -7*a + 4*a = -12. What is the second derivative of -6 + 8 - a*v**4 + 5*v - 2 wrt v?
-48*v**2
Let k(h) = 3*h - 2. Let w be k(2). Suppose 2*x - 4*s = w*x - 4, 3*s = x - 7. Find the third derivative of 4*f**x + f**2 - f**6 - 4*f**4 wrt f.
-120*f**3
Let m(r) be the third derivative of r**7/280 - r**6/360 - r**3/3 + r**2. Let p(l) be the first derivative of m(l). Find the third derivative of p(h) wrt h.
18
Let s be 47/7 + 6/21. Let l be 2/s - 19/(-7). What is the derivative of -2*b**l + 0 - 1 + 0*b**3 wrt b?
-6*b**2
Let f(j) = 6*j**5 - 2*j**3 + 9*j**2 - 2*j - 2. Let q(o) = o**5 - o**3 - o - 1. Let b(w) = -f(w) + 2*q(w). What is the third derivative of b(t) wrt t?
-240*t**2
Let o(q) be the second derivative of -q**6/5 + 10*q**3/3 + 29*q. What is the second derivative of o(s) wrt s?
-72*s**2
Let o(a) = 16*a**2 + 13. Let w(h) = 31*h**2 + 26. Let k(u) = -11*o(u) + 6*w(u). What is the first
|
{
"pile_set_name": "DM Mathematics"
}
|
uming k is positive.
k**(79577/32800)
Simplify ((t**(-10)/t)/((t**(-1)*t)/t))**(-50)/((t**0*t)**(7/8)*(t/t**7)/(t/(t**(-2)/t))) assuming t is positive.
t**(4073/8)
Simplify (((t**29/t)/(t*t**(-6/17)))/(t**(-28/5)*(t*t**5)/t))**30 assuming t is positive.
t**(14256/17)
Simplify ((a**(-7))**(-13/7)/(a**27/a**(-28)))**(18/13) assuming a is positive.
a**(-756/13)
Simplify ((s*s**2)/(s**(-2/7)*s)*(s**(-2))**(-2/23))/(s**(-2/11)*s**(-2/19)*s*s*s**(-4/5)/(s*(s/s**(-7/2)*s)/s)) assuming s is positive.
s**(2371147/336490)
Simplify ((l/(l/(l/(l*l**(-2/7)))*l)*l)/l*l**(-13)*((l*l**8/l)/l)/(l/l**(2/7)))**(4/7) assuming l is positive.
l**(-208/49)
Simplify (b**(-4)*b**(-2)*b)/(b**0*b*b)**(-3)*((b*b**0)**32)**0 assuming b is positive.
b
Simplify (((u/(u/(u*u**22/u)))/u*u**(-11))/(u**(-5/2)/u**(-12/13)))**(-43) assuming u is positive.
u**(-12943/26)
Simplify ((s**(-2/3)*s*s)**(-1/25))**(-39)*(s**0*s)**(-2/57)*(s*s**(-6))/s**1 assuming s is positive.
s**(-5636/1425)
Simplify (k/(k*k/k**6)*k*k*k*(k**(-2)*k)/k)/(k**(-1)/(k*k/k**(2/3)))*((k/k**0)**(13/7))**(-2/37) assuming k is positive.
k**(6397/777)
Simplify (s*s*s**(1/5)*s)**37*s*s*(s**(-4/7)*s)/s*s*(s*s*s**3*s)/s*s*s*((s**(-1/7))**(-23))**41 assuming s is positive.
s**(9189/35)
Simplify w**(1/43)/w**(-11/4)*(w/(w*w**36)*w)/w**21 assuming w is positive.
w**(-9155/172)
Simplify ((b*b*b*b/(b**(-3/7)/b)*b)/(b**(-15)*b)*((b**(-1/12)*b)/b)/(b**(3/14)/b))**(-23) assuming b is positive.
b**(-40825/84)
Simplify (m*(m**(-2/77)*m*m)/m*m*m*m**(-37))/((m*m**(1/42))/m*m**(19/4)/m*m) assuming m is positive.
m**(-34927/924)
Simplify (h**(-6))**(2/3)*(h/h**(-38))/h**6 assuming h is positive.
h**29
Simplify ((((p*p**(-6))/(p**(-7)*p))/(p**(1/2))**43)**25)**16 assuming p is positive.
p**(-8200)
Simplify ((u**5*u**21)/(u*u**(-22)*u**(-7)))**(-24) assuming u is positive.
u**(-1296)
Simplify (((u*(u**(-1/25)/u)/u)/(u*u/(u*u**(-17)/u*u)))/(u**(-1/4))**4)**(-1/69) assuming u is positive.
u**(451/1725)
Simplify ((m*m/(m*m**(-8))*m**(-16))/(m*m/m**16*m**(-1)))**22 assuming m is positive.
m**176
Simplify (s**(-3)*s/s**(-2/5))**1*(((s/s**(-5/7))/s)/(s**(-7/2)*s))**(-4/5) assuming s is positive.
s**(-146/35)
Simplify ((z**(2/7))**(-10)/(z**(-1))**(-11))/((z**0)**(-4/3)/((z*z/((z/(z**(-6)*z))/z*z))/(z*z*z**(-2/7)))) assuming z is positive.
z**(-137/7)
Simplify (t**8*t*(t*(t**(1/4)/t)/t)/t*t**7*t**1)/((t**5*t**(1/9))/((t**(2/3)*t)/t)**(1/23)) assuming t is positive.
t**(8419/828)
Simplify (w**(1/4)/(w**(2/5)*w))**(4/9)*w**(-1/4)*w*w*w*w**6/w*w*w*w*w*w**(2/3)/((w*(w/(w*w/(w*w*w/((w/(w/w**(-1)))/w)*w)))/w*w)/w) assuming w is positive.
w**(1243/180)
Simplify l**(-3)*l*l**(2/15)*(l*l*(l*l**1)/l)/l**(-2/5)*((l/((l*l**1*l)/l))/l)**(-1/6)/(l**0/(l**6*l)) assuming l is positive.
l**(133/15)
Simplify (t**(-1/4)/t)**(-30)*(t**1)**(2/21)*(t**(-1))**(-3/4)/(t**(-1)/(t*t**(2/5)*t)) assuming t is positive.
t**(17533/420)
Simplify ((r*r*r**(-2/5))**(-50)/(r/r**(-4/3)*r*r**(-3/4)))/(r**6/(r*r/(r*r**(-1)))*r**2/(r*(r*r**6)/r)) assuming r is positive.
r**(-979/12)
Simplify ((y**(-2/11))**38*(y**5*y)**(6/5))**(-11/7) assuming y is positive.
y**(-16/35)
Simplify ((p/p**(1/4))/p*p/(p/(p*p**(-3/5)))*p**5/p*p/(p/p**(5/2)))/(p*(p**6*p)/p*p*(p**(1/7)/p*p)/p*p*p**(-2/7)/(p**(-5)*p)) assuming p is positive.
p**(-729/140)
Simplify (u/((u/(u/u**(-1/7)))/u)*u/(u*u**(1/6)*u)*(u**0*u)**(8/7))/((u**(-1))**(2/15)*(u*u*(u*u**(-5))/u)/((u/u**(6/5))/u)) assuming u is positive.
u**(851/210)
Simplify (((l**(1/7)/l)/l*l)/(l/l**(2/5)*l*l*l))**(3/5)*(l**(-4)/l*l/l**(-3))/((l/l**2)/(l*l**(1/2))) assuming l is positive.
l**(-411/350)
Simplify (u**0/(u/(u**10*u))*((u**(2/11)/u)/u*u)**(13/8))**39 assuming u is positive.
u**(29757/88)
Simplify (c**7*c**(-2/11))/(c**(-7)*c*(c**3*c)/c)*(c/c**(1/9)*c*c**4)/(c**5/(c*c**(-2)/c)) assuming c is positive.
c**(862/99)
Simplify z**(3/2)/z*z**(-23)*z**37/z**(-17) assuming z is positive.
z**(63/2)
Simplify (u/(u/(u*u**(5/3)/u))*u*u/(u*u**(-2/3)*u))/(u*u*u/u**0*u*u)**33*((u/(u*(u/(u/u**(-7)))/u))/(u/u**0))/(u**(-1/3))**(-25) assuming u is positive.
u**(-164)
Simplify y/(y/(y/(y**(-4)*y)))*y**1*y/y**(-5)*y*y*y**(-4)*y*y*(y**(-1))**(-31)*((y**1*y)/y*y)**50 assuming y is positive.
y**142
Simplify (l**0*l/(l/(l/((l**(2/17)*l*l*l)/l))))**32/((l**0/l)**(3/37))**31 assuming l is positive.
l**(-20915/629)
Simplify (b/(b/(((b/((((b*b*b**(2/27))/b)/b)/b)*b)/b)/b)))/b*b**(2/47)*(b*b**(3/7))/b**(5/4) assuming b is positive.
b**(5225/35532)
Simplify t**(-5)/t**(2/9)*t**9*t/(t*(t*((t*t**(-3/2))/t)/t)/t)*t*((t**0*t)**(8/19))**(-3) assuming t is positive.
t**(2057/342)
Simplify ((r*r**(-2/5))**(4/9)*((r/r**(2/7)*r)/r)**(-37))/((r*r**(-1/3))**2/(r*r**(-2/3)*r**(-3/2))) assuming r is positive.
r**(-6019/210)
Simplify ((u**6*((u*u*u**(1/4))/u)/u)/(u**(-5)/(u/((((u*u**(-2/7))/u)/u)/u))))/((u/(u**(-1/4)*u))**(17/2))**(-40) assuming u is positive.
u**(2787/28)
Simplify ((a**(-6)/(a/((a*a**(-5/2))/a))*((a*a**(-2/7)*a*a)/a*a)**(-11/5))**18)**(-22/5) assuming a is positive.
a**(214434/175)
Simplify (c/(c/(c/(c*c**(-2/9))))*c*c**(-5/6)*c)/(c**(2/5)/(c/(c**(-1)*c)))*(((c*c**2)/c*c)**31)**(-6) assuming c is positive.
c**(-50041/90)
Simplify (((x**(2/9))**(-4/21)*(x*x**(2/11))**(-3/17))**(1/38))**(-8/13) assuming x is positive.
x**(35468/8729721)
Simplify ((u/(u/u**0))**(14/5)*u**(3/7)*u**(-7))/(((u/(u*u**(-6)))/u)/(u**(3/7)*u)*(u*u**(2/7)*u)**(3/35)) assuming u is positive.
u**(-2533/245)
Simplify ((c*c**5*c)/(c*c**0/c)*(c**0)**(-10))/(c**2/c*c*((c/(c/(c/(c**(4/5)/c)))*c)/c)/c*c/(c*c/(c*c/(c**(-1)/c)))*c/(c**(-2/23)/c)) assuming c is positive.
c**(-33/115)
Simplify (((n**7*n**6*n)**50)**(-1/33))**(-1/14) assuming n is positive.
n**(50/33)
Simplify ((d**(2/7)/d)/d**(-3))/(d**3/((d*d**(-6/5))/d*d))*(d**(-1/7)/(d*d**(-1/2)))/((d*d*d**0)/d)**(-2/3) assuming d is positive.
d**(-187/210)
Simplify ((a**(-1/3))**20*a**(-1)*a/(a**(3/4)*a))/(a/a**(-5)*(a**3*a)/a*(a*a**(2/9)/a)/a*a**(2/7)) assuming a is positive.
a**(-4265/252)
Simplify (((k**(3/7)/k*k*k**(1/3)*k)**(-41))**(2/5))**(-3/13) assuming k is positive.
k**(3034/455)
Simplify (n**0/(n**(-3)*n))/(n**(1/4)*n*n*n*n)**(1/40)*(n/(n/n**(4/3))*n)/n*n*n*n/n**4*(((n/(n*n**(-2/5)))/n)/n)**(-2/13) assuming n is positive.
n**(15433/6240)
Simplify (f*f**(-2/7))**(-6/7)/(f/f**(-1/4)*f**(-6)*f)*(f/f**(-2)*f/(f**(-4/7)/f))**(-30) assuming f is positive.
f**(-32145/196)
Simplify (b**(-1/3)/b**17*(b/((b/b**(-1))/b))**(-2/65))**28 assuming b is positive.
b**(-1456/3)
Simplify (q/(q*q**(-8))*q*q**(2/7))**1/(q**(-8)*q**(9/4))**(-19) assuming q is positive.
q**(-2799/28)
Simplify (c**(-1/2))**(-2/3)/((c/(c/(c*c*c**(-4))))/c**(2/11))*((((c**(-1)*c)/c)/c)**(7/6))**(3/28) assuming c is positive.
c**(299/132)
Simplify t*t**(1/5)/t*t**(-5)*(t**(-1))**6*(t/((t*t/(t*t*t**0*t))/t))**(-35)*(t**(2/3))**(8/7) assuming t is positive.
t**(-12079/105)
Simplify ((v*v/(v*v**11/v*v*v)*v*v)**(-35)*v*v/(((v/(v/v**(-25)))/v)/v)*v*((v**1/v*v*v)/v)/v)**(-3/17) assuming v is positive.
v**(-1035/17)
Simplify (((g*g*g*g**(-1/3)*g)**(-3/2)*g**0/(g**(1/4)*g))**(1/41))**(-21/5) assuming g is positive.
g**(567/820)
Simplify ((a**2*a*a**(-16))/(a**(-20)*a**(-2)*a))**(-1/38) assuming a is positive.
a**(-4/19)
Simplify ((i*i**(-4)*i)/(i/i**(5/2)))/(i**0)**(-1/7)*(i*(i**(2/15)/i)/i*i/i**8*i)**(-25/4) assuming i is positive.
i**(509/12)
Simplify (p**3/p**(-1/2))**4*((p/(p**(-2/5)/p))/(p/(p*p**1/p*p)))/(p/(p*p**(2/5)/p)*p**(-4)/p) assuming p is positive.
p**(109/5)
Simplify ((o**(-1/4)*o**(-2/11))/(o**5*o*o*o/o**(-2)*o*o))/((o**(-1))**0/(o**(3/2)/o*o**3)) assuming o is positive.
o**(-393/44)
Simplify ((v**(-4)*(v**(1/3)/v)/v)/(v*v**(-4)*(v/(v*v*v**(2/9)/v))/v))/((v/(v**(1/2)*v))**(-48)*v/v**(-1/6)*v**(-3)) assuming v is positive.
v**(-425/18)
Simplify (((z/((z*z**3)/z)*z**(-3/5))/(z**(2/9)*z)**(8/5))**(-5/9))**(-14) assuming z is positive.
z**(-2870/81)
Simplify (((u/u**1*u*u**(-7))/(u**(-3))**(-3/4))**(-46))**(-45) assuming u is positive.
u**(-34155/2)
Simplify (((w*w**(2/13))**(-5/7)/(w**(-2/7))**(-28))**(3/19))**(-28) assuming w is positive.
w**(9636/247)
Simplify ((r**(1/3)*r**(2/3)/r)/(r/(r/(r**(1/2)/r)*r))**(2/27))/((r/(r**0*r))/r*r**(1/7)/r)**(-41) assuming r is positive.
r**(-4790/63)
Simplify ((n**20*n*n**17)/(n/(n/(n/n**(-1/19))*n)*n*n*(n/n**(-24/11))/n))**(1/4) assumi
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -2262*n = -2261*n + 5*q - 27585, 2*n = 2*q + 55254. What are the prime factors of n?
2, 5, 1381
Let m be (2233 + 2)*27/45. Suppose 0 = -t + 4*l + m, 3*t - 8*l - 4088 = -9*l. List the prime factors of t.
1361
Let i(a) = a**3 + 9*a**2 + 17*a + 4. Let b be i(-6). Suppose 0 = -b*w + 7*w + 9. Suppose -m + 6*m - 273 = -w*v, 3*m - 157 = 5*v. List the prime factors of m.
2, 3
Suppose -205084 - 35660 = -56*z. List the prime factors of z.
3, 1433
Let n be (-19)/(12/3 - 5). Let d be n*-1*(-28 - -18). Suppose h = 4*q - 497, -3*h + 164 + d = 3*q. What are the prime factors of q?
3, 41
Let p(k) = -7*k**3 + 4*k**2 + k + 16. Let d be p(-6). Suppose 0 = -4*l + d + 2030. What are the prime factors of l?
2, 3, 7, 11
Let u(x) = 428*x**2 + 3*x - 19. What are the prime factors of u(4)?
6841
Suppose -t + 12 = -158. Let m = 832 - t. What are the prime factors of m?
2, 331
Let l be -1 - (3 + 0 + -6). Suppose -344 = 3*y - 5*y - l*q, -5*q + 168 = y. What are the prime factors of y?
173
Let s(a) = -a**2 + 2*a + 38. Let l be s(7). Suppose -10*o = -l*o - 1855. What are the prime factors of o?
5, 53
Let r(v) = 5 + v**3 - 7*v**2 + 6 - 9*v + 1 + 0. Let m be r(8). Suppose m*t = t + 141. What are the prime factors of t?
47
Let y(q) be the second derivative of q**5/5 - q**4/3 - 19*q**3/6 + 6*q**2 - 52*q + 2. List the prime factors of y(5).
317
Suppose 0 = 5*m + 1297 + 3818. Let i = -545 - m. List the prime factors of i.
2, 239
Let z be (-6 - -5)/((-35)/15 + 2). Suppose -803 = z*p - 3509. What are the prime factors of p?
2, 11, 41
Suppose -x = 2*s - 5, -5 = 3*s - 8*s. Suppose -379 = 5*o - 3*b, -83 = -x*o + 4*o + 3*b. Let r = o - -205. What are the prime factors of r?
2
Let j(w) = 160*w + 3805. List the prime factors of j(0).
5, 761
Suppose -5*s - 4*z = -213, s = 5*s - 2*z - 186. Let c = s - 40. Suppose c*a - a = -4*x + 340, -a = -5. What are the prime factors of x?
2, 5
Suppose -2*c = 5*u - 21715 - 11130, -49264 = -3*c - 4*u. List the prime factors of c.
2, 5, 821
Let f be (66/(-9))/(6/342). Let u = f + 587. List the prime factors of u.
13
Let m(s) = 4*s**2 - 3*s - 17. Let l be m(-3). Suppose l*d - 1909 = 8283. List the prime factors of d.
2, 7, 13
Let d(g) = -29*g**2 + 11*g + 4. Let m(s) = -s**2 + 2*s - 1. Let r(b) = -d(b) - 2*m(b). What are the prime factors of r(2)?
2, 23
Suppose 0*q - 4*q + 104 = 0. Let b = -21 + q. Suppose -58 = -4*x + b*r + 47, 0 = -2*x - 3*r + 69. List the prime factors of x.
2, 3, 5
Let h = 13618 + -6615. What are the prime factors of h?
47, 149
Let h(p) = 15*p**3 + 3*p**2 + 7*p + 27. List the prime factors of h(5).
2, 503
Let p(k) = -k**3 + 12*k**2 + k + 12. Let o be p(9). Let c = -165 + o. Let s = -35 + c. What are the prime factors of s?
2
Suppose 0 = u - 275 - 489. Let t = -317 - -559. Suppose -9*k + u = t. What are the prime factors of k?
2, 29
Let g be 4/(-14) + (-160)/28. Let m(k) = 669 - 3*k - 3*k + 667 - 1327 + k**2. List the prime factors of m(g).
3
Suppose -14*b + 4*b + 26600 = 0. Suppose 5*f = f + b. List the prime factors of f.
5, 7, 19
List the prime factors of 1771/(-759) - 4166/(-6).
2, 173
Suppose -s + 4*j + 35105 = 13750, 85366 = 4*s + 2*j. What are the prime factors of s?
7, 3049
Let x = -2 - -13. Suppose -x*l = -12*l. Suppose l = -m - 5*m + 84. What are the prime factors of m?
2, 7
Let y be (-315)/28*(-32)/(-6). Let u be (-1 - -2)/((-3)/(-399)). Let t = u - y. What are the prime factors of t?
193
Suppose -z + 0*z = 5*v - 40, 0 = -4*z - 3*v + 109. Let l = z + 29. Suppose -l*c = -57*c + 342. What are the prime factors of c?
2, 3, 19
Suppose -2*a - 3*h = -314, -6*a = -4*a - h - 330. Suppose -3*u + a = 7. Suppose -35 = -u*d + 51*d. What are the prime factors of d?
5, 7
Let m(d) = 2444*d**2 - 10*d + 103. What are the prime factors of m(5)?
61153
Let u = 410 + -397. Suppose u*d + 959 = 14*d. List the prime factors of d.
7, 137
Suppose -m - 3*m = 112. Let p be 4/14 + 456/m + -2. Let x = p - -39. List the prime factors of x.
3, 7
Suppose 39*i - 60000 = -8598. List the prime factors of i.
2, 659
Let w(k) = 14*k**2 + 13*k - 37. Suppose -4*g - 36 - 7 = -o, 5*o = -3*g - 38. List the prime factors of w(g).
2, 757
Let v be 3*(-3)/(36/(-140)). Let w = 38 - v. What are the prime factors of (w/2)/((-3)/(-148))?
2, 37
Let c = 637 + 8863. What are the prime factors of c?
2, 5, 19
Let b(t) = -15*t + 123. Suppose 2*y + 20 = 5*g, 9*y - 10*y - 2*g = 19. List the prime factors of b(y).
2, 3, 29
Suppose 0 = -v - 4*i + 61, 5*i + 199 + 52 = 3*v. Suppose -12*g + 5*g - v = 0. Let o = 119 - g. What are the prime factors of o?
2, 5, 13
Let c = -315 + 319. Suppose a = c*b - 3797 - 533, 3*b = 3*a + 3243. List the prime factors of b.
3, 19
Let f = 8914 - -14197. What are the prime factors of f?
11, 191
Suppose -1549 = -4*v - 5*c, 4 = 2*c + 2. Suppose 0 = -21*l + 19*l + v. Let k = l - 102. What are the prime factors of k?
7, 13
Let g = 32 - 28. Suppose 0 = -4*i + g*w + 1536, i = w - 4*w + 396. List the prime factors of i.
3, 43
Let n be ((-22)/(-8) + -2)/(3/12). Let o = 153 - n. What are the prime factors of o?
2, 3, 5
Suppose 186*r + 441792 = 238*r. What are the prime factors of r?
2, 3, 59
Suppose 2 = 2*s + 10. Let m(f) = -2*f**3 - 8*f**2 - 2*f - 6. Let x be m(s). Suppose 0 = -x*u + 116 + 46. List the prime factors of u.
3
Let x(s) = s**2 + 13*s + 14. Let m(w) = -w + 1. Let h(v) = 5*m(v) - x(v). Let d be h(-19). What are the prime factors of (-1 - 8)/((-1)/(d/(-6)))?
2, 3, 7
Let w(m) = 18*m - m**2 + 6 + 4 - 15*m + 37*m. List the prime factors of w(27).
19
Let w = 3071 - -104. List the prime factors of w.
5, 127
Let v(r) = -98*r + 4004. What are the prime factors of v(-71)?
2, 3, 7, 29
Suppose l + 168*c = 170*c + 1129, -4*c + 24 = 0. What are the prime factors of l?
7, 163
Let w(v) = 9*v**3 + 7*v**2 - 10*v + 44. What are the prime factors of w(9)?
2, 3541
Let n = 351 + -208. Suppose 12*u + 441 = -339. Let j = n + u. List the prime factors of j.
2, 3, 13
What are the prime factors of (1/(-1))/(71309/14262 - 5)?
2, 3, 2377
Let p(h) = -92*h**3 - h. Let k(b) = 2*b**3 - 23*b**2 + 14*b - 16. Let y be k(11). Suppose 5*t = -3*f - y, 2*t + 0 - 6 = 2*f. List the prime factors of p(t).
3, 31
Let q(f) = 20*f**2 + 11 + 27*f - 54 + 16 + 4*f. What are the prime factors of q(-8)?
3, 5, 67
Let t(j) = 4393*j + 1063. List the prime factors of t(4).
5, 3727
Let q = 2673 + -2535. List the prime factors of q.
2, 3, 23
Let p(o) = o**2 + 11*o + 3510. What are the prime factors of p(103)?
2, 3, 31, 41
Let f(z) = -z**2 - 15*z + 14. Let m be f(-16). List the prime factors of (-18846)/(-27)*(2 - 3)/m.
349
Let i be (-2083)/2 + 28/56. Let d = -559 - i. What are the prime factors of d?
2, 241
Let d = -231 + -18. Let h be (-4)/(20/(-15)) - (-398 - 13). Let t = d + h. What are the prime factors of t?
3, 5, 11
Let i(a) = a**3 + 37*a**2 - 25*a - 56. List the prime factors of i(-26).
2, 5, 11, 73
Suppose 6*l = -3*l + 15318. Suppose -2272 = -4*i - 0*k + 4*k, 0 = -3*i + 2*k + l. What are the prime factors of i?
2, 283
Let g = 24206 + -9946. List the prime factors of g.
2, 5, 23, 31
Suppose -4*u + x = 108, 4*u - 5*x - 160 = 9*u. Let s = u + 903. List the prime factors of s.
5, 7
Suppose 22*k - 18*k + 24 = 0. What are the prime factors of 25155/156*(-2 + (-44)/k)?
2, 5, 43
Suppose 1424*h + 127031 = 1454*h - 172939. What are the prime factors of h?
3, 11, 101
Suppose 3*j - 277 = -277. Suppose 5*c - n - 533 = j, -105 = -c - 0*n + n. List the prime factors of c.
107
Suppose 4*w + 449*c = 453*c + 38160, -3*w = -c - 28628. List the prime factors of w.
2, 1193
Let j = -2034 + 4545. Suppose 7*t - j = 86. List the prime factors of t.
7, 53
Let f be 0 + 4 + (0 - 5) + -563. List the prime factors of (-3 - f) + 8 + -8.
3, 11, 17
Suppose -15 = -16*v + 13*v. Suppose 3*b + 5 = 4*t - 9, 5*b - t - v = 0. List the prime factors of 104/12*3/b.
13
Suppose -10*o + 6950 = -8*o. List the prime factors of o.
5, 139
Let t(s) = -30*s + 3. Let n be t(13). Let k = n + 724. Suppose -3*z + k + 110 = 0. What are the prime factors of z?
149
Suppose 17*r - 20*r + 1689 = 2*m, 0 = 3*r - 4*m - 1689. Let x = r - -805. List the prime factors of x.
2, 3, 19
Suppose 3*f + 4920 = -2*z + 4*f, 4*z + 2*f = -9824. Let r = 3825 + z. What are the prime factors of r?
1367
Let g(s) = -27*s - 43. Let y be g(-1). List the prime factors of 903 + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
12. Let x(z) = 5*z**3 + z - 23 - 3*z**v - 3*z**2 + 22. Calculate x(2).
5
Let h(v) = -3*v + 2*v + 7*v + v**2. Let l = 8 + -5. Let o(q) = -2*q**2 - 13*q + 1. Let t(p) = l*o(p) + 7*h(p). Give t(-3).
3
Let v(y) be the second derivative of y**5/20 - 7*y**4/12 + y**3/3 - 4*y**2 + 9*y. Suppose 0 = 4*n - 4*q - 28, 0 = 4*n + n + 2*q - 35. Calculate v(n).
6
Let t(z) = -4*z**2 + 5*z + 3. Let s(a) = -5*a**2 + 5*a + 2. Let b(k) = -3*s(k) + 4*t(k). Let m(d) = -2*d**3 - 3*d**2 + 2. Let p be m(-2). What is b(p)?
0
Let m(h) = 5 - 3 + 3 + h - 4. Calculate m(4).
5
Let f(k) be the second derivative of 2*k**3/3 + k**2/2 - 21*k. Give f(-2).
-7
Let p = -27 - -58. Let w = -11 + p. Suppose -4*l = w - 0. Let a(t) = -t - 5. Calculate a(l).
0
Let l(k) = -16 + 4 + 5 + k - 1. Give l(6).
-2
Let s(w) = -6*w**3 - w + 1. Suppose 4*n = 6*n. Let i = -18 - n. Let t be ((-6)/i)/((-2)/(-6)). Calculate s(t).
-6
Suppose 3 = -g + 5. Suppose 3*x - 5 = -g. Let f(p) = p - 1. Give f(x).
0
Let q(t) be the second derivative of -t**5/20 - t**4/12 + t**3/2 - t**2 + 5*t. Give q(-3).
7
Let f(d) = -d**2 + 4*d. Let q be 7 + 1 + (-12)/3. Give f(q).
0
Let k(f) = -2*f**2 - 7*f - 6. Let x(u) = -3*u**2 - 10*u - 8. Let m(p) = -7*k(p) + 5*x(p). Calculate m(3).
-10
Let w(d) = d**2 - 8*d - 14. Let v be w(10). Let q(g) = g**3 - 6*g**2 + 6. What is q(v)?
6
Let k(f) = f**2 + f. Let b = -37 + 34. Calculate k(b).
6
Suppose -8 - 9 = -2*g + 5*h, -5*h - 23 = -3*g. Let o(a) = a**3 - 5*a**2 - 3*a - 1. Calculate o(g).
17
Let j(a) = a**2 - 7*a + 10. Suppose 0 = 5*k + 2*x - 39, -3*x = -0*x - 6. Give j(k).
10
Let r = 2 + 1. Let v(n) = -2*n + 9 - 2*n**2 + r*n + 3*n**2. Suppose 4*j - 3*x = 3, 0 = -j - 4*x - 5 + 1. Give v(j).
9
Let q(y) be the first derivative of y**2/2 + 2*y - 5. Let u = 5 - 11. Calculate q(u).
-4
Suppose -2*b + 0*b - 10 = 0. Let z(n) = -n**2 - 3*n + 6. Calculate z(b).
-4
Let i = 2 + 2. Let c(m) = 0 + 4*m**2 - m**3 + 2 + 3. Give c(i).
5
Let k(q) be the first derivative of -4 - 1/2*q**2 + 4/3*q**3 - 1/4*q**4 - q. Give k(4).
-5
Suppose u - 5*h = 1 + 6, 0 = 2*h + 4. Let x(l) = -1 + 2*l - 3 + 0*l. Calculate x(u).
-10
Let s = 20 + -14. Suppose s = -2*y, -y - 5 = -v - 0. Suppose -8 = -v*z - 2*z. Let q(i) = 2*i - 3. Give q(z).
1
Let m = 53 - 59. Let h(w) = 2*w + 3. What is h(m)?
-9
Let m(p) be the second derivative of -p**8/1680 - p**7/2520 - p**6/720 + p**4/12 - 2*p. Let c(n) be the third derivative of m(n). Give c(-1).
4
Let a = -1 - -8. Let q(k) = 2*k**3 + 2*k**2 + 7*k - 6. Let d(p) = 2*p**3 + 2*p**2 + 8*p - 7. Let v(w) = a*q(w) - 6*d(w). Give v(-1).
-1
Let v(p) = 15*p**3 - 10*p**2 + 4*p**2 + p - 16*p**3 + 1. Calculate v(-6).
-5
Let m(z) = 2*z. Suppose 0 = -2*d + 2*i - 12, -i + 11 + 7 = -4*d. Let s(t) = 2*t + 1. Let o(r) = d*s(r) + 3*m(r). Let c be o(-3). Let g(x) = -x. What is g(c)?
-2
Let j(v) = v + 4. Let x(k) = k + 1. Let s(p) = -j(p) - x(p). Let o = 18 - 27. Let r be 5*(o/(-3))/(-3). Calculate s(r).
5
Suppose 0 = 3*f - 4*u - 5 + 2, -5*f + 4*u = -13. Suppose -2*c + 2*m = 3*c - 23, m = -f*c + 11. Let b(g) = -4*g - c*g**2 + 4*g. Give b(1).
-3
Let s(k) be the third derivative of -k**5/60 + 5*k**4/24 - k**3/2 - 4*k**2. Give s(5).
-3
Let h(j) = j**2 + j - 1. Let y = -1 - -1. Give h(y).
-1
Let w(v) be the first derivative of -2*v**2 + v - 11. Calculate w(4).
-15
Let k(i) be the first derivative of 7/3*i**3 + 3*i**2 - 5 + 1/4*i**4 - 5*i. Give k(-6).
-5
Let h(q) = q**2 + q - 2. Let n be h(-2). Suppose 0 = u - 3*u + 10. Let r(b) = -3*b + n*b - u*b**2 + 4*b. What is r(1)?
-4
Let c(w) = w**2 + 6*w - 7. Let g = -37 + 31. Give c(g).
-7
Let w(g) = -5*g**3 + 26*g**2 - 5*g - 2. Let o(y) = -2*y**3 + 9*y**2 - 2*y - 1. Let v(t) = -8*o(t) + 3*w(t). What is v(-6)?
-4
Let r(f) = 2 - f**2 - 1 + 7*f - 5. Let v(y) be the third derivative of y**5/10 + y**4/12 + y**3/3 - 3*y**2. Let t be v(-1). What is r(t)?
2
Let r(k) = -9*k**3 - 16*k**2 - 22*k + 15. Let t(b) = -5*b**3 - 8*b**2 - 11*b + 7. Let d(p) = 6*r(p) - 11*t(p). What is d(9)?
-5
Suppose 3*b + 6 = 5*b. Suppose 0 = b*n + 2*n - 10. Let g(o) be the first derivative of 3*o**2/2 - 3*o - 16. Determine g(n).
3
Suppose 5*r - 15 = -5*s, 5*s = 2*r + 2 + 20. Let x(k) = -k**2 + 2. What is x(s)?
-14
Let v(c) be the first derivative of c**7/840 - c**6/180 - c**5/30 - c**4/24 - 2*c**3/3 - 2. Let j(q) be the third derivative of v(q). What is j(3)?
-4
Let t(f) = 2*f**3 - 3*f**2 + 2*f - 2. Let k be (-3)/(-6) - 3/(-2). Determine t(k).
6
Let q(l) = -4*l - l**2 - 2*l + 0*l - 2 + 14*l. Calculate q(8).
-2
Let z be (-4)/(-14) - 132/(-77). Let t(d) be the first derivative of 1 + 2*d + 1/2*d**z. What is t(2)?
4
Suppose -2*n + j - 2*j = 21, 3*j = 5*n + 25. Let d(m) = -m**2 - 6*m + 9. Determine d(n).
-7
Let w(v) = 2*v**3 - v**2 - 2*v. Let d be w(2). Let u(k) = -k**2 + 6*k + 3. Calculate u(d).
-13
Suppose -30*y = -25*y + 20. Let d(r) = -2*r - 3. Calculate d(y).
5
Let o be (-3 + (-1 - -1))/1. Let p be 4/(o/(-6)*2). Let j(y) be the second derivative of y**5/20 - y**4/3 + y**2 + y. What is j(p)?
2
Let b(z) = -z**2 + 3*z - 3. Let a = -39 + 44. Determine b(a).
-13
Let n(m) = -11*m**3 + 12*m**2 - 3*m - 12. Let q(r) = -r + 0*r + 2*r**2 - 2*r**3 - 2*r**3 + 2*r**2 - 4. Let y(t) = 3*n(t) - 8*q(t). Calculate y(3).
2
Let p be 0*1/4 + 2. Let w(m) = -16*m - 6. Let k(g) = 3*g + 1. Let b(y) = p*w(y) + 11*k(y). Let j be (-3)/((-9)/(-6)*1). Determine b(j).
-3
Let v = 8 - 4. Suppose -13 + 1 = -v*n. Suppose -4*m + 22 = -2*w - 0*w, 19 = n*m - 2*w. Let j(d) = 2*d - 3. What is j(m)?
3
Let b = -62 + 63. Let k(x) = -4*x - 4 + 0 + 5. Give k(b).
-3
Let q(h) = 3*h + 4. Suppose 1 = 2*c + 5. Let g(z) be the second derivative of -z**5/20 - z**4/4 + z**2/2 + 5*z. Let d be g(c). Calculate q(d).
-5
Let w(m) = -m + 7. Let f be w(5). Suppose 0 = f*t - 3*t - 2. Let p(i) = -3*i - 2. Give p(t).
4
Suppose -3*i = -2*i - 3. Let b(n) = n**2 - 4*n**3 + n**3 - 7*n**3 + n**i. Calculate b(1).
-8
Let z = -36 - -36. Let f(v) be the second derivative of -v + z + 1/6*v**3 + 1/2*v**2. Determine f(-3).
-2
Let i = 5 - 4. Suppose -j = -i - 2. Suppose -v - 11 = -4*t, 4 = j*t - t. Let n(z) = -2*z + 2. Calculate n(v).
8
Let i(s) be the second derivative of -4/3*s**3 - 1/2*s**2 + 0 - 5*s. Give i(-1).
7
Let j be 13 - (0 + 2) - -1. Let x(k) = k + j - 12. Determine x(-5).
-5
Suppose -4*y + 25 = j - 1, -j - y + 14 = 0. Let v = 11 - j. Let x(d) = 8*d**3 - d**2 + 1. Give x(v).
8
Let m(c) be the third derivative of c**6/120 - c**5/20 - c**4/24 - 5*c**3/6 + 11*c**2. What is m(4)?
7
Let k(v) be the first derivative of 1/12*v**4 + v**2 + 0*v + 1 + 1/6*v**3. Let i(t) be the second derivative of k(t). Determine i(-3).
-5
Let h(x) = -4*x**3 - 1. Suppose -k - 8*k = 9. What is h(k)?
3
Let n(p) = 11*p - 8. Let t(l) = -7*l + 5. Let r(z) = -5*n(z) - 8*t(z). Let h(c) = -c**3 + 5*c**2 + 6*c - 2. Let i be h(6). Calculate r(i).
-2
Let x = -22 + 16. Let h(d) = d**3 + 5*d**2 - 7*d + 8. Give h(x).
14
Suppose 4*c - 7 - 57 = 0. Suppose c = 3*b + b. Let n(j) = -2*j + b*j + 4 - j - 2*j. Determine n(0).
4
Let l(a) be the first derivative of a**3/3 - 3*a**2/2 - 7*a + 10. Give l(6).
11
Let i(j) = 36*j**3 + 2 - 3*j**2 + 31*j - 37*j**3 - 27*j. Determine i(-4).
2
Let k(w) = -4*w**2 + 2*w + 1. Suppose 3*m - 8*m + 15 = 0. Suppose -a = -m*a + 4. Suppose -a*v + 2 + 2 = 0. What is k(v)?
-11
Let x be (-4)/6 + 1/(-3). Let c(h) = -5*h**3 + 2*h + 1. Calculate c(x).
4
Let v(k) = -k**2 - 4*k - 2 - 5*k - 4. Determine v(-6).
12
Let h be (3/(-6))/((-75)/40 - -2). Let a(d) = -d - 3. Give a(h).
1
Let q(b) be the second derivative of -b**5/60 - 5*b**4/24 - b**3/3 + 5*b**2/2 - 3*b. Let u(m) be the first derivative of q(m). Calculate u(-5).
-2
Let u(s) = s + 5. Let m be u(-7). Let q be 2 - (m - (-2 + -2)). Suppose q = -z - 2*z. Let d(i) = -i**2 + i + 1. Give d(z).
1
Suppose 2*r + 2 - 10 = 0. Let l(o) = -o**3 + o**3 - o**3 - 1 + 4*o**2 - 2. What is l(r)?
-3
Let d(p) = -p**2 + 4*p + 3. Let z(o) = -o**3 - 7*o**2 - o - 8. Let l be z(-7). Let g be (-3)/(-6)*l*-12. Determine d(g).
-9
Let c(j) = 5*j**2 - 13*j + 13. Let i(w) = -2*w**2 + 4*w - 4. Let r(h) = 3*c(h) + 8*i(h). Determine r(-7).
7
Let h(u) = 2*u - 9. Let g(q) = q - 5. Let y(j) = -11*g(j) + 6*h(j). Give y(5).
6
Let y = -18 - -28. Let j be 6/(-4)*y/(-3). Let w(o) = -j*o + 3*o + o. Give w(-5).
5
Let u(o) be the third derivative of -o**4/24 + o**3/6 + 12*o**2.
|
{
"pile_set_name": "DM Mathematics"
}
|
is the value of ((-72)/300)/(6/15)?
-3/5
Calculate (((-45)/5)/18)/(1/(-2)).
1
(-12)/28*126/6
-9
What is ((-2)/(-35)*2)/((-4)/10)?
-2/7
Calculate ((-11)/((-220)/(-10)))/((-2)/20).
5
(-230)/(-920)*(-1*2)/4
-1/8
What is (1*-1)/(2/((-4)/(-2)))?
-1
What is (0/(-6))/(2/2)?
0
What is the value of -3*6/3*2/(-4)?
3
Evaluate (-1*0/9)/(-3).
0
What is the value of -6*5/(105/2)?
-4/7
Evaluate (30/(-40))/((-9)/4).
1/3
Evaluate (0/(-3))/(((-48)/6)/(-8)).
0
((-3)/1)/((6/(-3))/2)
3
(3/8)/(54/(-384)*-4)
2/3
((60/16)/(-5))/((-21)/(-140))
-5
What is (-36)/(-99)*(-5)/10?
-2/11
Calculate 32/(-6)*15*5/(-50).
8
What is the value of (1/(-15))/((-60)/72)*5?
2/5
Evaluate 8/(-27)*((-135)/(-12))/15.
-2/9
Calculate ((-3)/1)/(28/7).
-3/4
What is (-1)/(-9)*6/4?
1/6
Calculate (2/(-3))/((-5)/(-45)*2).
-3
Calculate 0/(-4)*(-2)/(-2).
0
Evaluate 1/(-3*12/(-16)).
4/9
Evaluate (-4)/(-3)*(15/(-110))/(-1).
2/11
Evaluate 42/(-140)*10*5/(-18).
5/6
What is the value of ((-3)/13)/((-102)/68)?
2/13
What is ((42/10)/7)/(8/10)?
3/4
What is the value of (-3*5/15)/4?
-1/4
What is (-1)/(5*-3*3/(-18))?
-2/5
(7/(-14))/(2/2)
-1/2
What is 7/35*(-3)/((-36)/(-20))?
-1/3
What is (-3)/(((-2)/12)/((-15)/90))?
-3
56/(-42)*(-15)/(-50)
-2/5
Evaluate -1*((-10)/(-4))/((-60)/40).
5/3
What is the value of (48/(-36))/((-16)/(-36))?
-3
Evaluate (3/(-6))/(33/198).
-3
1/((-10)/((12/2)/3))
-1/5
Calculate (-12)/(-16)*(-48)/12.
-3
Calculate (-20)/44*(-42)/(-105).
-2/11
((-4)/3)/(4*(-3)/18)
2
What is 8/(-90)*(-7)/(98/(-35))?
-2/9
What is the value of (5*(-4)/(-30))/(3/(-18))?
-4
What is the value of (9/(-9))/(4/(-20))?
5
Evaluate -6*((-9)/126)/(8/(-14)).
-3/4
Calculate ((-5)/(-25))/(18/20).
2/9
((-64)/(-112))/((-4)/14)
-2
What is (-33)/(-22)*40/(-270)?
-2/9
Calculate -3*2/(-12)*18/(-9).
-1
((-3)/(-6))/(1017/226)
1/9
What is the value of 3/24*1*(-10)/5?
-1/4
14/(-4)*12/28
-3/2
What is the value of ((-2)/(-6))/(36/(-324))?
-3
Evaluate ((-3)/(-30))/((52/30)/(-13)).
-3/4
Calculate 15/9*2/(-10)*1.
-1/3
What is the value of (-3)/2*92/(-138)?
1
Calculate (-14)/140*(-30)/8.
3/8
108/567*-3*2/4
-2/7
Calculate ((-11)/(55/2))/((-2)/10).
2
Evaluate (-1)/14*6*42/12.
-3/2
((-952)/136)/(-1*1)
7
Evaluate ((-8)/54)/(76/57).
-1/9
2/2*14/28
1/2
(-15)/(-15)*(-3)/24
-1/8
3*((-20)/(-75))/(-4)
-1/5
Evaluate ((-2)/4)/(((-368)/160)/23).
5
Calculate (5*2)/((-27)/(189/14)).
-5
Evaluate 24/(-16)*(-1)/(-3).
-1/2
Evaluate ((-3)/2)/(36/72).
-3
What is 6/(-8*5/((-80)/6))?
2
Evaluate ((-21)/(-35))/(((-6)/1)/30).
-3
Calculate (2/12*2)/((-248)/4464).
-6
(1/1)/((-4)/(-4))
1
What is the value of ((-4)/10)/(222/(-925))?
5/3
Evaluate -10*-10*(-7)/140.
-5
What is 1/((-12)/(-8)*-4)?
-1/6
Evaluate ((-72)/(-210))/(-3)*35/(-10).
2/5
(6/4)/(-1)*20/10
-3
Calculate (9/(-6))/(75/350).
-7
((10/12)/5)/((-3)/(-12))
2/3
Calculate -8*(-7)/112*(-2)/2.
-1/2
Calculate (6/(-8)*-2)/((-12)/16).
-2
What is 6/(-5)*(-15)/9?
2
((-4)/(-6))/(12/(-27))
-3/2
6/5*8/(32/(-10))
-3
What is ((-196)/(-539))/((-3)/(-33))?
4
What is ((-24)/(-9))/(4/6)?
4
What is the value of 1*1/(-1)*116/(-812)?
1/7
Evaluate (-6)/(-21)*140/(-50).
-4/5
What is -1*(-4)/10*-5?
-2
Evaluate 2*((-13)/(-26))/1.
1
What is 16/(-16)*(-8)/2?
4
What is the value of (24/(-6))/((-6)/(-3))?
-2
What is the value of (42/(-140))/((-36)/20)?
1/6
Evaluate 12/12*(-3)/(-18).
1/6
What is the value of (-4)/5*20/8?
-2
Evaluate (-2*1)/(90/72*4).
-2/5
Evaluate (24/(-42))/(2/(-28)*4).
2
What is (-9)/105*-5*(-6)/(-18)?
1/7
Calculate ((-3)/((-3)/1))/(2/2).
1
((-58)/(-58))/((-4)/12)
-3
((-5)/(-1))/((-2)/(12/(-15)))
2
What is (1/((-8)/36))/(-3)?
3/2
Evaluate (-4)/(-14)*-1*(-224)/(-32).
-2
Evaluate -3*((-110)/105)/11.
2/7
What is (2/6)/((-2)/(-18))?
3
What is the value of (-6)/(-1)*(-12)/54?
-4/3
(-20)/150*30/(-10)
2/5
What is (-93)/248*48/(-2)?
9
What is ((-165)/6)/11*(-4)/(-2)?
-5
What is (2/(-12))/(31/(-1116))?
6
What is (-10*7/(-560))/((-2)/(-24))?
3/2
Calculate ((-6)/(-22))/((-294)/196).
-2/11
What is (1*12/(-8))/((-18)/2)?
1/6
What is (0*(-7)/14)/2?
0
Evaluate (12/(-21))/(60/(-630)).
6
Calculate (-6)/(-4)*-1*80/24.
-5
What is the value of (2*(-2)/(-4))/((-454)/(-4540))?
10
What is 12/40*(-2)/3?
-1/5
Calculate ((-234)/351)/(2/9).
-3
Evaluate 6*4/(-4)*2/(-28).
3/7
What is the value of 0/(-1)*((-17)/17)/(-5)?
0
(-126)/27*(-39)/(-26)
-7
(-1)/(((-1)/(-2))/((-20)/(-120)))
-1/3
What is ((-12)/36)/(6/9)*-12?
6
What is (-6)/(-5)*89/(-534)?
-1/5
Evaluate 140/448*4/(-10).
-1/8
(16/(-72)*3)/((-4)/18)
3
(8/(-16)*-14)/2
7/2
Calculate (-21)/28*(-40)/(-6).
-5
Evaluate ((-20)/12)/5*1.
-1/3
Evaluate ((-456)/(-152))/((-33)/2).
-2/11
Calculate ((-7)/(-21)*-1)/((-6)/4).
2/9
Evaluate 1/2*180/(-30).
-3
Calculate ((-12)/(-56))/((-2)/(-7)).
3/4
What is -3*-1*(-1)/(-6)*-16?
-8
What is the value of ((-128)/(-1760))/(3/(15/(-2)))?
-2/11
What is the value of (-4)/(-6)*-1*-6?
4
Evaluate (-2*(-3)/12*0)/1.
0
What is (2/(-1))/(1643/53)?
-2/31
(6/(-16))/(((-60)/4)/5)
1/8
What is 5*48/(-12)*1/2?
-10
Evaluate (4/(84/9))/(12/(-21)).
-3/4
Evaluate (-2)/((-10)/400*8).
10
What is (1/(-10)*-18)/((-51)/(-170))?
6
Evaluate -8*((-855)/72)/19.
5
What is the value of ((-5)/(-20))/((-1)/1)?
-1/4
(13/(1287/(-18)))/(24/(-22))
1/6
What is 5*-2*(-1)/2?
5
(3/45*-4)/((-8)/12)
2/5
Calculate (53/1749)/(((-12)/27)/4).
-3/11
What is (-10)/5*1/2?
-1
((-2)/(-4))/(12/(-6))*2
-1/2
Evaluate (1/4)/((-28)/(-112)).
1
6/(-4)*(-12)/(-9)
-2
What is the value of (-14)/8*(-2)/7*0?
0
What is 32/(-48)*2/6?
-2/9
What is (-2)/4*(-4)/10*15?
3
Evaluate 3/(72/6)*-4.
-1
((-24)/40)/((-3)/15)
3
What is (2/9)/(7/63)?
2
-2*2/(6/(-3))*1
2
((-1)/(-3))/((6/(-2))/45)
-5
(12*1/(-2))/(-2)
3
(2/(-3))/(171/27)
-2/19
14/(-8)*(-13)/(364/24)
3/2
What is -3*(-4)/(-18)*3?
-2
What is the value of ((-2)/3)/((-42)/27*3)?
1/7
Calculate ((-2)/((-18)/(-3)))/((-56)/63).
3/8
Calculate 1/13*572/396.
1/9
Calculate (-4*(-3)/144)/((-3)/(-12)).
1/3
(2/(-36))/(4/16)
-2/9
What is ((-36)/(-30))/(3/(-6)*4)?
-3/5
Calculate -6*1/(-5)*(-400)/120.
-4
Calculate 3/5*(-2)/(-2).
3/5
What is (-12)/30*-5*1/(-8)?
-1/4
Evaluate (1/(-5))/((15/5)/3).
-1/5
What is the value of (-6)/((-6)/3*(-8)/16)?
-6
Calculate (-54)/(-180)*(-8)/(-6).
2/5
Evaluate -6*2/(-18)*2/2.
2/3
What is the value of (-24)/18*1*2/12?
-2/9
Calculate 1365/(-364)*1/3.
-5/4
Evaluate ((-53)/(-159))/(2/(-6)*2).
-1/2
Evaluate (-1)/14*4*12/6.
-4/7
What is the value of (-72)/40*10/(-6)?
3
Evaluate ((-3)/(-1))/(((-112)/(-8))/7).
3/2
16*-3*9/(-54)
8
Evaluate 20/(-6)*3/(-4)*2.
5
Calculate 45/3*-1*(-8)/24.
5
Calculate -10*3/(30/4).
-4
What is 1*1/(-2)*-10?
5
What is ((-2)/14)/((-162)/378)?
1/3
What is 1*-2*69/46?
-3
(6/(-10))/((-17)/85)
3
Evaluate -3*(-4)/36*-12.
-4
Calculate 5*(3/20)/((-4)/16).
-3
(-3)/9*-6*-2
-4
Evaluate (57/(-171))/((-2)/(-3)).
-1/2
What is the value of ((-17)/((-306)/27))/(6/(-8))?
-2
What is the value of (3*(-8)/84)/((-16)/(-140))?
-5/2
Calculate ((-2)/6)/(23/46).
-2/3
Evaluate 68/306*3/4.
1/6
What is (1365/10)/(-13)*2/3?
-7
8/10*15*(-7)/14
-6
Calculate ((-16)/(-780)*3)/(8/20).
2/13
(2/(-20))/((-9)/45)
1/2
Calculate -5*11/(-275)*5.
1
Evaluate (-27)/(180/20)*2/18.
-1/3
What is (-2)/(-5)*110/(-22)?
-2
Evaluate (-2*9)/6*(-3)/(-15).
-3/5
Evaluate (7/35)/(2/(-4))*-1.
2/5
Evaluate (-12)/210*(-20)/(-2).
-4/7
Calculate ((-9)/54)/(10/(-15)).
1/4
What is the value of (-6)/10*1200/7920?
-1/11
((20/6)/(-5))/(45/27)
-2/5
What is the value of (4/(-5))/((12/(-20))/(-3))?
-4
What is (-4)/8*-2*(-2)/(-2)?
1
(-32)/(-384)*8/(-3)
-2/9
Evaluate 1/(-2)*2/4.
-1/4
(16/(-16))/((-1)/3)
3
What is the value of ((-174)/174)/((-14)/6*-1)?
-3/7
((-8)/(-48)*4)/((-2)/3)
-1
Evaluate (8/(-40))/(((-30)/(-6))/25).
-1
What is 500/(-25)*3/(-15)?
4
What is the value of ((-62)/217)/(30/(-21))?
1/5
(4/(2/(-2)))/(-1)
4
What is the value of ((-40)/25)/(-4)*(-10)/(-10)?
2/5
Calculate 116/(-145)*(-4)/(176/10).
2/11
What is ((-8)/5)/((-30)/75)?
4
What is ((-42)/(-20))/(-2*3/(-10))?
7/2
Calculate (-728)/(-52)*(-1)/8*-2.
7/2
What is (-21)/28*(-4)/3?
1
Evaluate (21/18)/7*18/(-9).
-1/3
Evaluate (-6*6/44)/((-6)/4).
6/11
What is the value of (-54)/(-81)*(-18)/(-20)?
3/5
What is (-21)/(-56)*2*4?
3
Calculate 5*(-3)/18*(-8)/20.
1/3
What is the value of (-1)/(36/27)*(-16)/18?
2/3
What is 33/(-33)*2/(-10)?
1/5
What is (44/(-132))/(4/(-15))?
5/4
What is the value of (-6)/27*2*(-12)/4?
4/3
What is (-4)/(-14)*378/486?
2/9
Calculate (
|
{
"pile_set_name": "DM Mathematics"
}
|
rmine p(i).
-4
Let w(b) = 12*b - 1. Let z = -3 + 8. Suppose z*s + 3 - 8 = 0. Give w(s).
11
Let s(t) = -7*t + 2*t - 3*t**2 + t**2 + t - 3. Calculate s(-3).
-9
Let f(m) be the first derivative of 4*m**3/3 - 2*m + 4. Determine f(2).
14
Let y(t) = -2*t + 4. Let d be y(2). Suppose -5*m + 2*v + 3*v = d, -3*m = v + 8. Let j(a) = -a**3 - 2*a**2 + a + 1. What is j(m)?
-1
Let t(u) = u + 5 + 1 - 2*u. Suppose 3*r + 5*g - 18 = 10, 0 = 5*r - 3*g - 24. Calculate t(r).
0
Let c(u) be the second derivative of -3*u**5/20 - u**4/12 + u**3/6 + 8*u. What is c(1)?
-3
Let h(o) = -o**3 - 2*o**2 + 2*o + 2. Suppose -4*y + 5 = -3. Give h(y).
-10
Let q(f) = -2*f + 2. Let w(t) = -3*t + 3. Let g(k) = -4*q(k) + 3*w(k). What is g(-4)?
5
Let n be 2 + (15/(-10))/(12/16). Let a(z) = z**2 - z - 6. Calculate a(n).
-6
Suppose -5*c = -0*c - 60. Let d be (4/c)/(2/18). Let n(l) = -d*l + 3 + 2*l - 2. Determine n(-3).
4
Let s be ((-2)/4)/(2/(-4)). Let r(c) = -3 - c**3 + 3 - 12*c**3 + 1. What is r(s)?
-12
Let s(z) = 8*z**2. Let d be s(-1). Suppose 23 = -5*h + d. Let v(u) = -2*u + 2 - 4*u**2 + 0*u - 3*u**3 + 2*u**3. Give v(h).
-1
Let t(b) = -b**3 + 6*b**2 - 4*b - 2. Let n be t(5). Let k(o) = -o - 3 + 3*o - n*o. Let h be k(-3). Let f(y) = y**2 - 7. Determine f(h).
-7
Let y(l) = -l**2 - l. Let w = 74 - 72. Give y(w).
-6
Suppose 2*j - 6 = -0*j. Let y be 1 - (-1 + j) - -6. Let t(g) = 2*g**2 + g**3 - 4*g**2 + g**2 - y*g**3 + g. Give t(1).
-4
Let g(n) be the second derivative of 1/3*n**3 + 0 + 1/120*n**5 + 0*n**2 + 1/24*n**4 - n. Let o(c) be the second derivative of g(c). Give o(1).
2
Let q(p) be the third derivative of -2*p**2 - 1/4*p**4 + 7/6*p**3 + 0*p + 1/60*p**5 + 0. Give q(6).
7
Let v be 1/((-1)/42*-2). Let w = -11 + v. Let o(t) = 5*t**2 - 1 - w*t**2 + 4*t**2 + t. What is o(1)?
-1
Let y(f) = 2 + 2 - 11*f + 20*f - 8*f. Let r = 0 + 0. Give y(r).
4
Let g(x) = 3*x**2 - 5*x - 2. Let b(v) = -v**2 + v + 1. Let t(p) = 4*b(p) + g(p). What is t(3)?
-10
Suppose 0 = -2*d + 5*d - 21. Let a(h) = -h + d*h - 5*h + 4*h. Give a(1).
5
Let c be (-1)/((-2)/4) + 2. Let a(j) = -j**3 + 3*j**2 + 3*j - 1. What is a(c)?
-5
Let h(z) be the first derivative of -z**2/2 - 8*z - 5. Give h(-6).
-2
Let u = 55 + -83. Let t = 19 + u. Let z be t/6*4/(-6). Let s(j) = j**3 - j**2 + 1. Determine s(z).
1
Let d(a) = a**2 + 5*a - 2. Suppose -3*w = 5*t + 22, 3*t - 7 = 4*t - 2*w. Determine d(t).
-2
Let m be ((-51)/6 - 0) + 1/2. Let g(s) = -2*s - 10. Give g(m).
6
Let b = 30 - 33. Let z(q) = 2*q**2 + 3*q - 4. Calculate z(b).
5
Suppose 7 = 14*d - 35. Let v(h) be the first derivative of 3*h + 1/4*h**4 + 2 - 2*h**d + 3/2*h**2. Determine v(5).
-7
Let i(q) = -q**2 + 6*q - 3. Let s be i(3). Let h = 10 - s. Let d(l) = l**3 - 5*l**2 + 4*l + 4. Determine d(h).
4
Let u(r) = r - 2. Let w = 16 + -13. Let j be w/18 - (-58)/12. Calculate u(j).
3
Let s(h) = h**2 - 6*h + 13. Let o be s(3). Let m(z) = -z**2 + 5*z - 5. Give m(o).
-1
Let i be 8/(-4)*(-4)/2. Let n(c) be the second derivative of -5*c**4/12 + 2*c**2 + 3*c. Let k(q) = -4*q**2 + q + 3. Let l(b) = i*k(b) - 3*n(b). Determine l(4).
0
Let a = 207 - 215. Let s(f) = f**2 + 8*f - 8. What is s(a)?
-8
Let s be -7*(-1 - 0) + -2. Let t(y) = -s*y + 5*y - 4*y + 1. Give t(4).
-15
Let z be 26/(-6) + 2/6. Let m be (-2 - (-3)/2)*z. Let r(t) = -5*t - 4. Let h(i) = -i - 1. Let f(l) = -12*h(l) + 3*r(l). Give f(m).
-6
Let g be (-18)/(-42)*(-56)/(-12). Let j(s) = 2 - 4*s - 5 + 1. Calculate j(g).
-10
Let c(b) be the second derivative of -b**4/12 + 2*b**3/3 + 6*b. Calculate c(5).
-5
Let u(r) = r**3 - 9*r**2 + 3. Let d = 99 + -90. What is u(d)?
3
Let b(k) = 8*k + 5. Suppose 0 = 3*r - 1 - 11. Let j(i) = -3*i - 2. Let v(x) = r*b(x) + 11*j(x). Determine v(-5).
3
Let j(k) = 1 + k**3 - 7*k - 3 + 1 + 4*k**2. Suppose -4*u = 3*v + 19, -u + 9 = -v - v. Calculate j(v).
9
Let a be (-32)/(-10) + (0 - 4/20). Let u(k) = -k**3 + 3*k**2 + 4*k. Let v be u(4). Let h(p) = -1 + v*p - p + 2. Calculate h(a).
-2
Let c(p) = -p**3 + 11*p**2 + 6*p + 12. Let s be c(9). Let i be s/16 + 3/(-12). Let n be 18/i + 4/(-14). Let r(k) = -2*k**2 - k + 1. Calculate r(n).
-2
Let t(k) = k**3 - 6*k**2 + k - 6. Suppose 14*d - 12*d - 12 = 0. Give t(d).
0
Let d(v) = v**2 - v + 3. Let a(t) = -t - 1. Let i(k) = 4*a(k) + d(k). Give i(4).
-5
Let o = 1 - 2. Let m = -2 - o. Let c(y) be the third derivative of -7*y**5/60 - y**4/12 - y**3/6 + 193*y**2. What is c(m)?
-6
Let h(l) be the third derivative of -l**2 + 0*l - 5/6*l**3 + 0 + 1/24*l**4. Determine h(4).
-1
Let z = -23 + 25. Let h(o) = o**3 - o**2 - o - 1. What is h(z)?
1
Let x(i) = 5*i + 7 + 0*i**3 + i**3 - 6*i**2 - 2. Let p be (-1 + 2/(-4))*20/(-6). What is x(p)?
5
Let l(i) = -7*i - 7. Let m(t) = t. Let w(c) = -l(c) - 6*m(c). Determine w(-6).
1
Let c(w) = w + 1. Let h be c(-3). Suppose -3*z - 7 = -2*z. Let i(v) = -3*v - 3. Let f(j) = -j**2 + 9*j + 9. Let u(s) = z*i(s) - 2*f(s). What is u(h)?
5
Let a(z) = -37*z**3 - 11*z**2 + 2. Let q(y) = 18*y**3 + 5*y**2 - 1. Let m(r) = -4*a(r) - 9*q(r). What is m(-1)?
14
Let t(g) = g**3 - 5*g**2 - 5. Let n(h) = h + 1. Let r be n(4). Calculate t(r).
-5
Let z be 14/(-3)*((-7)/2 - -2). Let n(x) = -x**3 + 7*x**2 - 7. Calculate n(z).
-7
Let r = 9 + -1. Suppose -j - j = -r. Let i(p) = -4*p + 5. Determine i(j).
-11
Let b(z) = z + 9. Let k(l) = 1. Let a(n) = -b(n) + 5*k(n). Let u = -525 + 517. Determine a(u).
4
Let o(q) be the third derivative of q**6/60 - q**4/24 + q**2. Let n be o(1). Let m(k) = -2*k. Give m(n).
-2
Let k(x) = -x**2 - 6*x + 4. Let u be 7/(-3*(-3)/(-9)). Let m be k(u). Let p(c) = c**3 + 3*c**2 - 2*c + 1. Calculate p(m).
7
Let i(g) = -g**2 - 4*g + 6. Suppose 0*f - 40 = f. Let c be f/6 - 4/(-6). Give i(c).
-6
Let v(n) = -n + 1. Suppose -16 = 5*b + 14. Let o(x) = -5*x + 8. Let s(r) = b*v(r) + o(r). Let z(a) = -a + 7. Let f be z(9). Give s(f).
0
Let y(l) = 1 + 2*l**2 - l - 6*l**2 - 2. What is y(-1)?
-4
Let a(m) be the first derivative of -m**4/4 + 3*m**3 - 4*m**2 - 11*m + 9. Determine a(8).
-11
Suppose -3 = 2*u + 3. Let m(y) = -y - 2. Determine m(u).
1
Let q(n) be the third derivative of n**5/10 - n**4/12 - n**3/3 + 57*n**2. What is q(2)?
18
Let s(k) = 7*k - 1. Let d be (1 + 1)/(-1) - 0. Let t = -1 - d. Suppose -2*g + t + 1 = 0. What is s(g)?
6
Let v(x) = -x**3 + 4*x**2 + 4*x + 7. Let n be v(5). Let s be 6/15*n*-5. Let j(u) = -1 + 4*u - 3 - 3*u. Calculate j(s).
-8
Suppose m = -2*m. Suppose -2*x - x + 21 = -4*z, m = -2*x + 2*z + 14. Let s(g) = -g**2 - g**3 - 6*g + x*g + 1 + 2*g**2. Give s(2).
-1
Let y(r) = 2*r**2 - 4. Suppose -2*c - 6 = -0. Determine y(c).
14
Let h be ((-11)/9 - -1)*-9. Let w(c) = -c**3 + 4*c**2 - 3*c + 3. What is w(h)?
5
Let w(a) = a**3 - 8*a**2 + 14*a - 7. Let r be w(6). Let h(x) = -x**3 + 3*x**2 + 2*x**2 + 1 - 3*x + x**2. Determine h(r).
11
Let l(c) = -c**2 + 7*c + 11. Let d(i) = 1. Let f(t) = 6*d(t) - l(t). Determine f(5).
-15
Let r(n) be the first derivative of -n**4/4 + 2*n**3/3 - 3*n**2/2 + 4*n - 1. Let d be (-9)/(-6)*(-1 + 3). Calculate r(d).
-14
Let a(v) = -10*v + 1. Let u = -16 + 15. Calculate a(u).
11
Let y(i) = -4*i + 5*i**3 - 7*i**2 - 6*i**3 + 8 + 0*i**3. Let b be (45/(-10))/(3/4). Let m be y(b). Let h(p) = p + 3. Calculate h(m).
-1
Let g(v) = -v**2 + 3*v + 2. Let r be g(3). Suppose -r*s = s. Let u(c) = -1 + 2 + s + c - 2. Calculate u(3).
2
Let l(o) = -5*o**3 - o**2 + o + 1. Let p(m) = 3 + 0 - 11*m**3 + 2*m - m**2 - 2. Let u(v) = 9*l(v) - 4*p(v). Give u(-5).
0
Let q(v) = -2 - 20*v**2 - 20*v**2 - 6*v - 10*v**2 + 51*v**2. What is q(6)?
-2
Let z(i) be the third derivative of 0 + 1/30*i**5 + 1/12*i**4 + 2*i**2 - 1/6*i**3 + 0*i. Let w = 0 + -2. Determine z(w).
3
Let d(a) = 2*a**2 + 3*a. Let w(m) = m**2 + 5*m - 1. Let q(j) = -2*d(j) + 3*w(j). What is q(9)?
-3
Let y(o) = -6*o. Let q(s) = s - 5. Let x be q(6). Let c be ((-3)/6 + x)*-2. What is y(c)?
6
Let p(l) = -3*l - 10. Suppose v - 5 = c, -4*v + 5*c + 20 = -0*c. Let m(w) = -4*w - 11. Let i(o) = v*p(o) - 4*m(o). What is i(3)?
-3
Let m be 14/3*(-6)/4. Let g(o) = -12*o**2 - 7*o - 9. Let q(c) = -4 + 9 + 2*c**2 + 4*c**2 + 4*c. Let n(y) = m*q(y) - 4*g(y). What is n(1)?
7
Suppose -2*g + b - 14 = 3*b, 32 = -5*g - 2*b. Let k(z) be the first derivative of -z**2/2 - 8*z - 1. Calculate k(g).
-2
Let k(x) = x**2 + x**3 - 2*x**3 - 1 + 0*x**3. Suppose -g = 14 - 0. Let w be (-4)/g - 14/49. Determine k(w).
-
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{
"pile_set_name": "DM Mathematics"
}
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m**3 - 17*m**2 + 16*m + 4. Let d be l(16). Factor 95*n**3 + 35*n**d + 69*n - 7*n**5 + 5*n**5 + 7*n**5 + 20 + 11*n + 125*n**2.
5*(n + 1)**3*(n + 2)**2
Let o(p) = -p**2 + p. Let y(s) = 6*s**3 - 48*s**2 + 84*s - 30. Let l(c) = -3*o(c) + y(c). Find z such that l(z) = 0.
1/2, 2, 5
Solve 69169/2 + 263/2*h + 1/8*h**2 = 0.
-526
Let b(y) = 2*y**4 - 5*y**3 - y**2 + 2*y - 1. Let q(k) = -k**5 - 37*k**4 - 38*k**3 - 38*k**2 - 12*k + 6. Let h(u) = 6*b(u) + q(u). Suppose h(a) = 0. Calculate a.
-22, -2, -1, 0
Let k(d) = -d**3 + d**2 - 3*d - 2. Suppose 5*n + 5 = -5*i, -10 = -n + 4*n - 4*i. Let m be k(n). Determine u, given that 13*u**3 - 25*u**3 + m*u**3 = 0.
0
Let s(g) be the first derivative of 2*g**6/3 - 48*g**5/5 + 30*g**4 - 112*g**3/3 + 18*g**2 - 192. Factor s(z).
4*z*(z - 9)*(z - 1)**3
Let a(i) = i - 25. Let y be a(14). Let b = -9 - y. Let -b - 2*z**2 - 3 + 4 + 6*z - 3 = 0. Calculate z.
1, 2
Determine y so that -1/5*y**2 - 23/5 - 24/5*y = 0.
-23, -1
Suppose 0 = -0*o + o + 14. Let h = 22 + o. Factor 3 + 1 - 11*v**2 - h*v**2 + 15*v**2.
-4*(v - 1)*(v + 1)
Let r(p) be the first derivative of -p**4/4 - p**3 + 36*p**2 + 324*p - 1316. Find f, given that r(f) = 0.
-6, 9
Let a(l) be the third derivative of l**6/60 + 379*l**5/6 + 898703*l**4/12 + 896809*l**3/3 - 711*l**2 - 6. Factor a(s).
2*(s + 1)*(s + 947)**2
Let n = -136 - -213. Let s = -75 + n. Factor -5/3*u**3 + 5 + 5/3*u - 5*u**s.
-5*(u - 1)*(u + 1)*(u + 3)/3
Let z(o) be the first derivative of -13*o**5/30 + 19*o**4/9 + 4*o**3/9 + 285*o**2/2 + 315. Let h(l) be the second derivative of z(l). Factor h(a).
-2*(a - 2)*(39*a + 2)/3
Let z be (-1 + 0)*(-3)/12*0. Suppose -4*x + z*x = h - 14, -x = 5*h - 32. Factor -4*o**2 - 2*o**4 + o**5 + h*o**2 + o**3 - 2*o**3.
o**2*(o - 2)*(o - 1)*(o + 1)
Let o(p) be the first derivative of 0*p - 1/8*p**4 - 11/12*p**3 + 3/4*p**2 - 96. Suppose o(g) = 0. Calculate g.
-6, 0, 1/2
Let k(g) be the second derivative of g**7/504 - g**6 + 216*g**5 + 127*g**4/12 - g**3/6 + 50*g - 3. Let y(l) be the third derivative of k(l). Factor y(q).
5*(q - 72)**2
Let q(h) = -19*h**2 + 65*h + 121. Let r(g) = 15*g**2 - 64*g - 120. Let d(p) = -4*q(p) - 5*r(p). Solve d(o) = 0 for o.
-58, -2
Let d be (-6)/(-9) - 25200/(-1512). Factor 62/3*w - 2/3*w**5 - 16/3 + d*w**3 - 8/3*w**4 - 88/3*w**2.
-2*(w - 1)**4*(w + 8)/3
Let x = 73675 - 663017/9. Find l such that -2/3*l**2 + x + 172/9*l = 0.
-1/3, 29
Let k(m) be the first derivative of -3*m**4/4 + 44*m**3 - 129*m**2/2 - 847. Factor k(g).
-3*g*(g - 43)*(g - 1)
Suppose 37*x = 32*x + 35. Let z(p) = p**2 - 5*p - 12. Let n be z(x). Factor 3*s - 2 + 4*s**2 - s**n + 2*s**2 - 6*s**2.
-(s - 2)*(s - 1)
Let d = -2146/11 + 19325/99. Let o(u) be the third derivative of 0 - u**2 + 0*u + d*u**3 + 1/30*u**5 + 1/180*u**6 + 1/12*u**4. Factor o(q).
2*(q + 1)**3/3
Let f(k) be the third derivative of -k**7/70 + 31*k**6/40 + 251*k**5/20 + 561*k**4/8 + 171*k**3 - k**2 - 163. Find z, given that f(z) = 0.
-3, -1, 38
Let c be (-11*(-2)/(-8))/((-10)/1320). Suppose c = 4*n + 7*n. Factor 193*h - 156*h**2 + 8 - 56 - n*h + 36*h**3.
4*(h - 3)*(3*h - 2)**2
Let z(d) be the first derivative of -d**4/4 + 100*d**3/3 - 569*d**2/2 - 676*d + 67. Let o(x) = 100*x**2 - 568*x - 676. Let b(k) = 3*o(k) - 4*z(k). Factor b(i).
4*(i - 13)**2*(i + 1)
Suppose 68*d + 19/2*d**4 + 6 + 221/2*d**2 + 58*d**3 = 0. What is d?
-3, -2, -1, -2/19
Suppose -201*g + 511 + 366 - 274 = 0. Let o(p) be the first derivative of 1/5*p**g + 18 + 0*p + 0*p**2. What is w in o(w) = 0?
0
Let x(d) be the third derivative of 0 + 179*d**2 + 8/3*d**3 + 0*d - 1/30*d**5 - 1/6*d**4. Factor x(c).
-2*(c - 2)*(c + 4)
Let y = -506909 - -1520732/3. Suppose -1/6*o**2 - 4 + y*o = 0. Calculate o.
4, 6
Let w(y) = -12*y**3 - 215*y**2 + 463*y - 5. Let a(l) = -9*l**3 - 220*l**2 + 464*l - 4. Let m(d) = 5*a(d) - 4*w(d). Suppose m(k) = 0. Calculate k.
0, 2, 78
Let u be -5 - 0 - -2 - 1676/5. Let x = 339 + u. Factor -x*f + 0 - 33*f**3 - 121/5*f**4 - 48/5*f**2.
-f*(f + 1)*(11*f + 2)**2/5
Let l(k) = -k**2 - 26*k - 146. Let g = -100 + 146. Let t(y) = 3*y**2 + 731 + g*y + 2*y**2 + 85*y. Let v(f) = 11*l(f) + 2*t(f). Let v(s) = 0. What is s?
-12
Let a be (22/(-30))/(3316/(-24870)). Factor 0 - a*y**2 - 7*y**3 - y.
-y*(2*y + 1)*(7*y + 2)/2
Factor -55 + 38920*l**2 + 5 - 38925*l**2 + 35*l.
-5*(l - 5)*(l - 2)
Let p(g) = 3*g**3 - 13*g**2 - 16*g + 39. Let s be p(5). Let r(w) be the first derivative of s + 0*w + w**3 - 9/4*w**2. Factor r(c).
3*c*(2*c - 3)/2
Let l(f) be the second derivative of -125*f**4/12 - 365*f**3/6 + 15*f**2 - 3*f - 308. Factor l(m).
-5*(m + 3)*(25*m - 2)
Let c = -231 - -258. Suppose 12*w = c - 3. What is m in m**w - 4/7 - 2/7*m**3 - 4/7*m = 0?
-1/2, 2
Let k be (-84)/(-32)*6 + (-2)/(-8). Suppose -g - k + 20 = 0. Find q, given that -q**5 + g*q**2 + 6*q**3 + 15*q**4 - 10*q**4 - 4*q - 3*q**3 - 7*q**4 = 0.
-2, 0, 1
Let p(y) = -7*y**4 - 13*y**3 - 81*y**2 - 135*y + 6. Let w(q) = q**4 - q**3 - q**2 + 3*q - 1. Let j(c) = -p(c) - 6*w(c). Suppose j(v) = 0. Calculate v.
-13, -3, 0
Let f be -5*(-9)/5 + -7. Factor -103*i**2 - 6*i**3 - 51*i**2 + 8*i**3 - 14*i**f.
2*i**2*(i - 84)
Let n(y) be the third derivative of -y**6/480 - 583*y**5/120 + 2335*y**4/96 - 146*y**3/3 - 20*y**2 - 5. Solve n(q) = 0.
-1168, 1
Factor -658/3*t - 2/3*t**3 + 436/3 + 224/3*t**2.
-2*(t - 109)*(t - 2)*(t - 1)/3
Let s(t) be the first derivative of -7*t**5/2 + 1145*t**4/8 + 760*t**3/3 + 85*t**2 + 1433. Solve s(l) = 0.
-1, -2/7, 0, 34
Suppose 66*d - 70*d = -5*k + 65, k - 55 = 5*d. Let 0*y - 58/3*y**k + 0*y**2 + 0 + 18*y**4 + 4/3*y**3 = 0. Calculate y.
-2/29, 0, 1
Let z = 1347573/2075381 - -1/26953. Let m = z + 7/11. Factor -3/7 + m*r**2 + 6/7*r.
3*(r + 1)*(3*r - 1)/7
Let q = -2240 + 2242. Let l(c) be the first derivative of 100*c - 13 + 44/3*c**3 + c**4 + 70*c**q. Determine j so that l(j) = 0.
-5, -1
Let q be -7 - 0 - 4865/1320*-2. Let p(i) be the third derivative of -8/33*i**3 + q*i**6 + 0 + 0*i - 17*i**2 - 3/11*i**4 + 7/55*i**5. Factor p(s).
2*(5*s - 2)*(7*s + 2)**2/11
Suppose 3 + 375 = 189*a. Let n(u) be the second derivative of -1/18*u**4 + 0 + 32*u - 1/3*u**3 + 4/3*u**a. Factor n(i).
-2*(i - 1)*(i + 4)/3
Let q(a) be the second derivative of a**6/165 - 18*a**5/55 + 131*a**4/66 - 32*a**3/11 + 1096*a. Find p, given that q(p) = 0.
0, 1, 3, 32
Let a = 3277 + -131079/40. Let h(w) be the third derivative of 1/10*w**5 - 18*w**2 + 0 - 1/8*w**4 + 0*w**3 - a*w**6 + 0*w. Determine k, given that h(k) = 0.
0, 1
Determine s so that -2/3*s**2 + 16 - 46/3*s = 0.
-24, 1
Let v(p) be the second derivative of p**7/14 - 13*p**6/10 + 99*p**5/20 + 61*p**4/4 - 17*p**3 - 72*p**2 + 6985*p. Determine z so that v(z) = 0.
-1, 1, 6, 8
Let l(r) be the second derivative of r**4/18 - 959*r**3/9 - 320*r**2 - 197*r. Factor l(x).
2*(x - 960)*(x + 1)/3
Let l(v) be the third derivative of 0 - 2/7*v**3 + 11*v**2 - 1/280*v**6 + 0*v + 1/14*v**4 + 1/140*v**5. Factor l(d).
-3*(d - 2)*(d - 1)*(d + 2)/7
Let n(u) be the second derivative of u**4/6 + 50*u**3/3 + 527*u**2 + 2*u + 6. Let q(r) = -2*r + 1. Let y(c) = n(c) + 4*q(c). Factor y(w).
2*(w + 23)**2
Suppose -3797*m + 3779*m = -12582. Factor 243/4*s**3 + 3105/2*s**2 - m*s + 78.
3*(s + 26)*(9*s - 2)**2/4
Let r(t) be the first derivative of 4*t**3/3 - 58*t**2 - 1435. Factor r(h).
4*h*(h - 29)
Let c(d) be the second derivative of -d**5/180 + 23*d**4/54 - 131*d**3/54 + 43*d**2/9 - 6990*d. Factor c(r).
-(r - 43)*(r - 2)*(r - 1)/9
Let m = 201910 - 201910. Factor -1/3*z**5 + z**4 + m*z**2 - 2/3*z**3 + 0 + 0*z.
-z**3*(z - 2)*(z - 1)/3
Let a(m) = -m**3 - 20*m**2 + 23*m + 47. Let o be a(-21). Suppose 12*g = o*g + 14. Find s such that 4*s**g + 383 - 12*s - 383 = 0.
0, 3
Let j(r) = 85*r - 9773. Let s be j(115). Factor 0 + 2/3*a**s + 14/15*a**3 + 2/15*a + 2/5*a**4.
2*a*(a + 1)**2*(3*a + 1)/15
Factor -16/7 - 692/7*v + 174/7*v**2.
2*(v - 4)*(87*v + 2)/7
Let y(j) = -21*j**2 - 286*j - 428. Let b(d) = -42*d**2 - 579*d - 855. Let q(v) = -4*b(v) + 9*y(v). Factor q(f).
-3*(f + 2)*(7*f + 72)
Let p(v) be the second derivative of -v**5/5 + 22*v**4/3 + 8*v**3/3 - 176*v**2 - 2*v - 2322. Factor p(d).
-4*(d - 22)*(d - 2)*(d + 2)
Let g be -2 - 16/(-6)*(-9)/(-6). Solve -a**g - 15*a**2 + 17*a**3 - 21*a**3 = 0 for a.
-4, 0
Let f = -181892 - -181895. Solve 4 + l - f*l**2 - 7/4*l**3 - 1/4*l**4 = 0 for l.
-4, -2, 1
Let
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{
"pile_set_name": "DM Mathematics"
}
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8? (a) 28/15 (b) 2 (c) -1/3
c
Which is the nearest to 1/2? (a) 2 (b) -44/3 (c) 0.5319
c
What is the nearest to 181098 in 0, 0.5, 2, -5?
2
Which is the closest to -6? (a) -60/11 (b) -0.3 (c) -0.071 (d) 0.4 (e) -38
a
Which is the closest to 0.678? (a) 0 (b) -0.3 (c) -265
a
What is the nearest to 6.4 in -23, 40, -1.02?
-1.02
Which is the closest to -0.2? (a) -0.8 (b) -0.2109 (c) 3 (d) -1/2
b
What is the nearest to -1 in -0.028, 1/75, -76.2?
-0.028
What is the nearest to 0.1613 in 16.1, 539, 0.1, -3/5?
0.1
Which is the nearest to 5/4? (a) 0.4 (b) -0.5 (c) -6 (d) -2/15
a
What is the closest to 564 in -2/9, 3/28, -1/4?
3/28
What is the nearest to -4350 in 1/3, -8, -0.4, 0?
-8
Which is the nearest to 2/3? (a) -0.4 (b) -0.3 (c) -5/2 (d) -56 (e) 67 (f) 2
b
Which is the nearest to -2/13? (a) 2/3 (b) -0.049 (c) -0.1 (d) 6 (e) 5
c
What is the nearest to 1902 in 3, -0.04, -10, -0.3, 3/11, -1/7?
3
Which is the nearest to 0.1? (a) -43 (b) -59 (c) -4 (d) 0.3
d
Which is the nearest to 155? (a) 2/13 (b) 24216 (c) 5
c
What is the nearest to -1/4 in -1/2, -2/575, 3/5, 2, -0.03?
-0.03
What is the closest to 2/5 in 85, 8/5, 1/16, -67/3?
1/16
What is the nearest to -3 in 0, 1983, 5, 1, -1/24?
-1/24
Which is the nearest to 17? (a) -17.2 (b) -2/15 (c) -2/7
b
What is the closest to 1/3 in 0.07, 0, -134669, 0.4?
0.4
Which is the nearest to -2/77? (a) 0.4 (b) -1/45 (c) 3 (d) 1 (e) -225
b
Which is the nearest to 0.15? (a) -0.23 (b) -3 (c) 0.4 (d) -1 (e) 1.5
c
Which is the nearest to 1300195? (a) 0 (b) -2/17 (c) -5
a
What is the nearest to -0.5 in 0.2, 1817, -5/11?
-5/11
What is the closest to -0.2 in -6/31, -1/6, -4, -24, -1, -0.0427?
-6/31
What is the closest to 2 in 0.4, -10/7, 2/11, -1/317?
0.4
What is the closest to -13720 in 4/5, 0.253, 0?
0
Which is the nearest to 1/9? (a) -1/116 (b) -0.07 (c) 0.5 (d) -0.2
a
Which is the nearest to -65? (a) -3/2 (b) 2 (c) -5507 (d) -1/2
a
What is the closest to -4 in 6, -3.06, -55, 0?
-3.06
What is the closest to 2792 in -0.1, -56, 1/4, 0.2, 1, 5?
5
Which is the nearest to 8? (a) 86/11 (b) 11.7 (c) -3/7 (d) -5
a
Which is the closest to -0.2? (a) -10 (b) -2/5 (c) 3 (d) -106 (e) 53
b
Which is the nearest to -1? (a) -0.3 (b) 0.2 (c) -13 (d) -3/8 (e) -730
d
Which is the nearest to 3? (a) 0.2 (b) 2/1121 (c) -0.07 (d) 0.5 (e) -3 (f) -18
d
Which is the nearest to 451? (a) -0.1 (b) 2/21 (c) 5
c
Which is the nearest to 737/16? (a) 2 (b) -0.73 (c) -17 (d) -0.4
a
Which is the closest to 4? (a) -5797 (b) 0 (c) -3 (d) 2/3 (e) -0.3
d
What is the nearest to -0.2 in -3, 0.14, 5, 3991, 4?
0.14
What is the nearest to 0.48934 in -0.03, -1/11, 4, 5?
-0.03
What is the closest to -10990 in 2, -0.1, -1/107?
-0.1
Which is the nearest to 3? (a) -0.2 (b) -2/3 (c) 1/6 (d) 75 (e) -0.46
c
What is the closest to -1 in -0.4, -5, -0.43, -9/5, -2/7?
-0.43
Which is the closest to 120? (a) 4 (b) 33/7 (c) 9 (d) -3/7 (e) 1/5 (f) 2/107
c
Which is the closest to -2? (a) 1/2 (b) -8/7 (c) -1 (d) -0.07 (e) 3
b
What is the nearest to 0.1 in -21, 4, 0.3, 0.158206, 5?
0.158206
What is the closest to -0.3 in 5, 0, 0.5, 2.38, 0.2, 89?
0
Which is the closest to 0.03? (a) 166 (b) -1/3 (c) -0.3 (d) 1/4 (e) -0.4
d
What is the closest to 2/3 in -0.16, -2/13, -0.3, 0.2, -5, 267?
0.2
What is the nearest to 0 in -8830, -2/9, 0, 31?
0
Which is the nearest to -1? (a) -6 (b) -21 (c) -294 (d) -2 (e) -2/29 (f) -1
f
What is the closest to 0 in 3, 1570, -2, 1, 0.1, 828?
0.1
What is the nearest to 34 in 15, -47/3, -0.02, -5?
15
What is the nearest to -10.93 in 4, -35/2, 949?
-35/2
Which is the closest to 1? (a) 1/3 (b) 29 (c) 7.17 (d) -5.6
a
Which is the nearest to -1/3? (a) 1592669 (b) 3/16 (c) -2/5
c
Which is the closest to 0.1? (a) -3/5 (b) -0.573 (c) 572 (d) -1/4 (e) 0
e
Which is the closest to -2? (a) -0.3 (b) 357 (c) -74706
a
Which is the closest to 0.6? (a) -1/6 (b) 102 (c) 3/5 (d) -4 (e) 64.76
c
Which is the closest to -2/5? (a) 1 (b) -81 (c) 5 (d) -2/11 (e) 2/7 (f) -49/3
d
Which is the closest to -1? (a) -0.3 (b) -46.6 (c) 3 (d) 5357
a
Which is the nearest to 1? (a) 2 (b) 5624/7 (c) 1/3016
c
What is the closest to 0.23 in -4, -5, 9, 0, -2/85?
0
Which is the nearest to -2/5? (a) -1.3 (b) 2/49 (c) -5 (d) -0.01 (e) -2/255
d
What is the nearest to -8 in 10, -2/9, 4, 192, 0.2?
-2/9
What is the closest to -1/3 in 3, 1, 0.04, -61/102, 31?
-61/102
Which is the nearest to -150? (a) 2 (b) 1/355 (c) -4/5
c
Which is the closest to -1? (a) 3566 (b) 1/5 (c) -4
b
Which is the closest to 3? (a) -281 (b) -3/13 (c) 0.4 (d) 4 (e) 2/3
d
What is the closest to -156 in 2/11, -2, 7513, 3, -4/7, -1?
-2
What is the nearest to -3/122 in 5, -20228, 2/11?
2/11
What is the closest to 6402 in -1/5, 4, -0.09, 0?
4
Which is the nearest to -2? (a) -2/15 (b) -5721 (c) -70
a
Which is the nearest to 1/10? (a) 0.15 (b) 71 (c) 0.4 (d) 1/9 (e) 4.32
d
Which is the closest to 1/52? (a) -6/527 (b) -257 (c) 3
a
What is the nearest to -0.4 in 4, -1183, -12, -5?
4
Which is the nearest to -1/4? (a) -3 (b) -0.2 (c) -2/59 (d) 10022
b
What is the closest to -112 in 256, -3, 0?
-3
What is the nearest to 0.36 in 30, -1/3, -1308?
-1/3
Which is the closest to 0.02? (a) -2/7 (b) 2/9 (c) 10.4 (d) 5 (e) -27/10
b
What is the nearest to -54 in 2781.53, -0.5, 0.2?
-0.5
What is the closest to -51 in 3/17, -9, -0.1, -3?
-9
What is the nearest to -13/22 in 0.1, -0.4, 0.4, 5, -283, 5/3?
-0.4
Which is the closest to 7? (a) 235617 (b) -2/3 (c) -3
b
What is the closest to -5 in 6, -0.306, 4/9, 1/5?
-0.306
What is the nearest to 0.1 in -0.12, -5, 1.1, -1, -478/3?
-0.12
What is the closest to -2 in 48, -3, -2, -253/3?
-2
Which is the closest to 33682? (a) -1/51 (b) -3 (c) 4 (d) -4
c
Which is the nearest to 2? (a) -2/15 (b) 2/11 (c) 2/7 (d) -2/4377 (e) -7
c
Which is the closest to -0.2? (a) -1 (b) 136/89 (c) 1 (d) 51
a
Which is the closest to -2? (a) 10/227 (b) 0.263 (c) 4/5
a
What is the closest to 39 in -175, 1, -14, 4?
4
What is the closest to 0.362 in -2293, -3/2, 0.16?
0.16
What is the nearest to -0.363 in -13, 3, 673?
3
What is the closest to 99/5 in 164, -1, -4, 4?
4
Which is the nearest to -2/9? (a) -0.5 (b) 1/2 (c) 64 (d) -6/4573
d
Which is the closest to -0.35? (a) 3 (b) -47 (c) -4275
a
Which is the closest to 2.6? (a) -4/11 (b) 3/7 (c) 10 (d) -2 (e) 0
b
Which is the closest to -0.155? (a) 28/5 (b) 4 (c) 6/203
c
What is the nearest to 0.4 in 705, -2, 3, -0.116?
-0.116
Which is the closest to -0.0766? (a) 2379 (b) 1 (c) 3/5
c
What is the nearest to -0.4 in -0.2, 3/7, -59, 24?
-0.2
What is the closest to 2 in 3, -7, 770340?
3
What is the closest to -0.09 in -148/9, 4, 2491?
4
What is the nearest to -1 in 1/2, -93, 2/5, -23, 0.2, 3?
0.2
What is the nearest to -1/4 in -667441, -2, 29?
-2
What is the nearest to -6/13 in 0.5, -4/17, -3/19, 2/5, -1/5?
-4/17
Which is the closest to -0.1? (a) -3/4 (b) -4/5 (c) 1/5 (d) -1/11818
d
Which is the closest to -0.8? (a) 159519 (b) 2 (c) -3
c
What is the nearest to 147/157 in -0.2, -3/8, 5, 2/7, 0.1?
2/7
What is the nearest to 2/5 in -1, -2/11, 100, 40283, -0.2, 0?
0
What is the closest to -0.1 in -1/3, -0.4, -347, -5/6, 2/47?
2/47
Which is the closest to 0? (a) -10348 (b) -5 (c) 2/15 (d) -6 (e) 2
c
Which is the nearest to -2/15? (a) 3 (b) -2 (c) -0.3 (d) -1 (e) -1925
c
Which is the closest to -2/5? (a) 1 (b) 8 (c) 13 (d) -7/20 (e) -3 (f) 0.7
d
What is the nearest to 1 in -4/41, 1, 0.1, 0.2, -3152?
1
Which is the closest to 8? (a) 1.73 (b) -3 (c) -1307
a
What is the nearest to 14 in 0.3, 0, 15, 5, -0.08?
15
Which is the nearest to -18? (a) -4 (b) 2 (c) 1 (d) 2/11 (e) -4758
a
Which is the nearest to -0.1? (a) -11 (b) 0.19 (c) 140/57 (d) -6 (e) -3/2
b
What is the nearest to -0.2 in -2000, 0.3, 2, -11/471?
-11/471
What is the nearest to 3.05 in -10.8, 0.1, -5, -1/2, 46, 3/7?
3/7
What is the closest to 2/3 in -2.677, -1.5, 20?
-1.5
Which is the nearest to -1? (a) -1.34908 (b) 0 (c) 0.23 (d) 2
a
Which is the nearest to 0.17? (a) 2/67 (b) 4/71 (c) 4
b
What is the closest to 17 in -105518, -0.3, -11, -1?
-0.3
What is the closest to -1 in -0.038,
|
{
"pile_set_name": "DM Mathematics"
}
|
etters picked without replacement from {e: 2, b: 3, s: 2, l: 4, t: 7}?
14/153
Four letters picked without replacement from yyuyyryuyyyyyyyuuuu. Give prob of sequence yruy.
11/1292
Calculate prob of sequence qcli when four letters picked without replacement from fqliqqqqcccqccqic.
1/680
Calculate prob of sequence qqww when four letters picked without replacement from rwwrjrqjwrjjjrqjrq.
1/2040
Three letters picked without replacement from {l: 2, u: 1, t: 3, x: 1, h: 1, s: 5}. Give prob of sequence lxs.
5/858
What is prob of sequence xx when two letters picked without replacement from {c: 11, x: 5}?
1/12
Calculate prob of sequence xw when two letters picked without replacement from {w: 7, b: 2, m: 4, x: 2, q: 4, k: 1}.
7/190
Two letters picked without replacement from mmesezmmemmmmmm. Give prob of sequence mz.
1/21
Two letters picked without replacement from {y: 7, j: 2}. What is prob of sequence yy?
7/12
Four letters picked without replacement from {k: 2, o: 5}. What is prob of sequence ooko?
1/7
What is prob of sequence ld when two letters picked without replacement from {l: 1, k: 4, d: 1, h: 2, x: 1}?
1/72
Calculate prob of sequence zz when two letters picked without replacement from {z: 10, b: 2, f: 4}.
3/8
Four letters picked without replacement from {u: 5}. What is prob of sequence uuuu?
1
Three letters picked without replacement from ppvrvpjjmjrs. What is prob of sequence svv?
1/660
Three letters picked without replacement from qwslree. Give prob of sequence rqs.
1/210
Two letters picked without replacement from {g: 2, u: 2, m: 1, s: 1}. Give prob of sequence um.
1/15
What is prob of sequence rq when two letters picked without replacement from quqruqu?
1/14
What is prob of sequence rrro when four letters picked without replacement from krkrooororrrrororror?
77/1292
Three letters picked without replacement from yadadabybdaeybn. What is prob of sequence yny?
1/455
What is prob of sequence olln when four letters picked without replacement from {l: 2, o: 4, f: 2, n: 2}?
1/315
What is prob of sequence oo when two letters picked without replacement from {o: 5, g: 14}?
10/171
Calculate prob of sequence bccc when four letters picked without replacement from bbcccbcccccccbbc.
165/1456
Calculate prob of sequence uu when two letters picked without replacement from {g: 1, u: 2}.
1/3
What is prob of sequence pcb when three letters picked without replacement from {y: 6, c: 2, v: 1, s: 3, p: 2, b: 4}?
1/306
Calculate prob of sequence aa when two letters picked without replacement from ekekaakeakaekakaekak.
21/190
Calculate prob of sequence nni when three letters picked without replacement from {i: 6, n: 4, g: 9}.
4/323
Four letters picked without replacement from {r: 1, n: 2, e: 1, p: 4}. Give prob of sequence nrpp.
1/70
Calculate prob of sequence occo when four letters picked without replacement from {c: 2, j: 3, o: 3}.
1/140
What is prob of sequence ie when two letters picked without replacement from {e: 3, i: 1}?
1/4
What is prob of sequence byq when three letters picked without replacement from {z: 4, b: 2, y: 2, q: 4}?
2/165
What is prob of sequence xn when two letters picked without replacement from {b: 2, z: 5, n: 5, x: 3}?
1/14
Three letters picked without replacement from jccsvsm. What is prob of sequence css?
2/105
Four letters picked without replacement from tulupplltptult. Give prob of sequence plpl.
3/1001
Calculate prob of sequence tta when three letters picked without replacement from qqqrqqttqtqtqrarqqq.
2/969
Two letters picked without replacement from {p: 5, k: 3}. What is prob of sequence kp?
15/56
Calculate prob of sequence ecec when four letters picked without replacement from cccceeccecccccccce.
91/3060
What is prob of sequence wwvv when four letters picked without replacement from {w: 4, v: 2}?
1/15
Two letters picked without replacement from zwhxozzzz. Give prob of sequence zo.
5/72
Two letters picked without replacement from hqhq. Give prob of sequence hh.
1/6
What is prob of sequence qd when two letters picked without replacement from rhzdqrzqqgzdhr?
3/91
Four letters picked without replacement from hhchhhhhhhhhhhhchhh. Give prob of sequence chhh.
5/57
Calculate prob of sequence uu when two letters picked without replacement from {r: 3, u: 6, o: 1, t: 2}.
5/22
Two letters picked without replacement from sshh. What is prob of sequence hs?
1/3
Two letters picked without replacement from {s: 2, h: 3, o: 4, w: 2, c: 1}. Give prob of sequence ow.
2/33
Calculate prob of sequence db when two letters picked without replacement from nnnbnnbbnbbnzndz.
1/48
Two letters picked without replacement from {t: 2, k: 2, u: 5, r: 1, g: 2, z: 1}. Give prob of sequence kk.
1/78
Calculate prob of sequence jquu when four letters picked without replacement from {u: 5, t: 1, j: 7, z: 3, q: 2}.
7/1836
Two letters picked without replacement from {j: 3, t: 5}. What is prob of sequence jj?
3/28
Three letters picked without replacement from {j: 1, t: 1, h: 1, x: 5, r: 1}. What is prob of sequence rhj?
1/504
Three letters picked without replacement from {g: 2, q: 4, t: 4, k: 2, n: 2}. What is prob of sequence ttq?
2/91
Two letters picked without replacement from {h: 6, y: 1, c: 1, u: 3, w: 1, s: 6}. Give prob of sequence us.
1/17
What is prob of sequence aan when three letters picked without replacement from {a: 2, n: 2, v: 1, h: 6}?
2/495
What is prob of sequence max when three letters picked without replacement from {i: 2, a: 1, m: 1, x: 2}?
1/60
Two letters picked without replacement from pdnbblnc. What is prob of sequence nn?
1/28
What is prob of sequence kooo when four letters picked without replacement from oook?
1/4
Two letters picked without replacement from {d: 1, i: 3, f: 1, o: 6, a: 1}. Give prob of sequence ad.
1/132
Calculate prob of sequence ff when two letters picked without replacement from eefegkkeefmmfeff.
1/12
Four letters picked without replacement from {w: 5, l: 2, h: 5, d: 1, e: 4, q: 3}. What is prob of sequence whqd?
5/7752
Two letters picked without replacement from ooo. What is prob of sequence oo?
1
Three letters picked without replacement from cqrqkqsgqqccs. Give prob of sequence qkc.
5/572
Calculate prob of sequence klkr when four letters picked without replacement from {b: 1, p: 2, l: 1, r: 1, k: 2}.
1/420
Three letters picked without replacement from {o: 3, x: 2}. What is prob of sequence oxx?
1/10
Two letters picked without replacement from ggggqggggqggg. What is prob of sequence gg?
55/78
What is prob of sequence nn when two letters picked without replacement from nono?
1/6
Two letters picked without replacement from xjjjjjjjjjjjjjxjjjjj. Give prob of sequence jj.
153/190
Calculate prob of sequence qepp when four letters picked without replacement from {e: 1, c: 10, p: 2, q: 7}.
7/58140
Calculate prob of sequence iz when two letters picked without replacement from {i: 2, z: 1}.
1/3
Calculate prob of sequence ss when two letters picked without replacement from mssssssmsssm.
6/11
Calculate prob of sequence xx when two letters picked without replacement from {g: 2, x: 10}.
15/22
Four letters picked without replacement from {y: 4, e: 1, k: 6, v: 1, w: 1, s: 2}. What is prob of sequence wsvs?
1/16380
What is prob of sequence sfiq when four letters picked without replacement from {r: 1, s: 1, i: 1, f: 2, q: 2}?
1/210
Two letters picked without replacement from {w: 4}. Give prob of sequence ww.
1
Calculate prob of sequence njdd when four letters picked without replacement from djndu.
1/60
Three letters picked without replacement from {k: 3, x: 5, q: 1, n: 1, z: 3, e: 1}. What is prob of sequence kzz?
3/364
Three letters picked without replacement from {w: 2, k: 1, o: 1, g: 4}. What is prob of sequence wgg?
1/14
Calculate prob of sequence shr when three letters picked without replacement from {n: 6, h: 2, s: 3, r: 2, w: 6, v: 1}.
1/570
Calculate prob of sequence bam when three letters picked without replacement from {a: 1, b: 3, m: 9, z: 4, w: 1}.
3/544
Four letters picked without replacement from qvvvqvvvvqvvqv. Give prob of sequence vqqq.
10/1001
Four letters picked without replacement from {g: 2, r: 4, l: 4, c: 3, k: 1}. Give prob of sequence kgcg.
1/4004
Three letters picked without replacement from mddmddddddd. What is prob
|
{
"pile_set_name": "DM Mathematics"
}
|
nd the common denominator of 117/70 and x.
1820
Suppose 0 = 3*l + 2*u - 200, -275 = -4*l - 12*u + 11*u. Calculate the lowest common multiple of l and (-210)/(-24)*(-9 + 17).
70
Suppose -75010 - 346 - 3296 = -212*s. Calculate the least common multiple of 159 and s.
1113
Let h(f) = -672*f**3 - f**2 - 4*f - 7. Let w be h(-5). Let g = w + -581608/7. Let n = g + -898. Find the common denominator of -43/4 and n.
28
What is the common denominator of 107/12 and (214/(-6741))/((-188)/(-165))?
3948
Let o = 4 - 0. Let t be (-14 - 1)*1*(-66)/99. Suppose -n + o*j = -20, -t*n + 5*n - 2*j + 166 = 0. Calculate the smallest common multiple of n and 12.
96
Suppose 3*d = -2*t + 640, 4*d - 2*t - 844 - 28 = 0. Suppose 7*w - d = -2*w. Find the common denominator of -58/9 and w/(-28) + 1 + 372/(-154).
99
Let z = 180933 + -28225423/156. Find the common denominator of 1288/735 - 138/(-644) and z.
780
Suppose 24 = a + 3*h, -a - 5*h + 23 = 5. What is the smallest common multiple of a and 99?
99
Let u = 110519 + -248557235/2249. Calculate the common denominator of u and -5/7.
15743
Let v be (-1281)/42 + (-2)/(-4). Find the common denominator of (-531)/(-18) + 1 + 1 and (-30)/(-9) + -4 - 287/v.
10
Suppose -25*f = -69 - 231. Calculate the lowest common multiple of f and 391.
4692
Calculate the common denominator of 15/7 and -9 + 484630/52900 - 7/35.
7406
What is the common denominator of 39/415 and ((-150)/(-4) + -6 + 1)/(-166)?
1660
Let f be (1 - (-5)/(-6))/((-60)/58950). Suppose 0 = v + v - 280. Let m = f + v. Find the common denominator of 17/2 and m.
4
Suppose 5*p - 15 = 4*z, -3*p - 21*z + 9 = -17*z. Suppose p*x = -a + 45, -38 + 3 = -2*x + a. What is the lowest common multiple of 38 and x?
304
Let d = 2023 + -1848. Calculate the least common multiple of d and 210.
1050
Suppose 9*t - 12 = 6*t. Let i be (3/(-3)*0)/t + 4. Suppose 4*l = i*r, -3*l + 2*r + 6 = 2*l. What is the lowest common multiple of 98 and l?
98
Suppose -2*r + 82 = -6*r - 5*s, -2*r = 2*s + 42. Find the common denominator of (-10)/(-33) + 4/(-6) and r - -21 - (-270)/28.
154
Suppose -5*t = k - 1628, 0*t - 2*t = 2*k - 656. Suppose 0 = -123*f + 136*f - t. What is the least common multiple of f and 95?
475
Suppose -2*s = -5 - 1. Suppose 14*q + 36*q - 813 - 537 = 0. What is the least common multiple of q and s?
27
Suppose 0 - 25 = -5*m. Suppose 2*c + 283 = f + 1001, -m*f - 1070 = -3*c. What is the common denominator of 11/2 and ((-3668)/c)/7 + 2?
90
Let m = 1611209/10203 - 3000/19. Find the common denominator of m and 2/537.
537
Let g = -4 - -31. Let c be ((-3)/6*-8)/((-9)/g). Calculate the common denominator of ((-79)/18 + 3)*(-18)/c and 37/12.
12
Let l be (101374/(-20279) - 0) + 5. Let f = l + -214459/78219. What is the common denominator of f and -38/21?
189
Suppose -9*u - 521 = -20*u - 5*p, -5*u = -5*p - 295. Calculate the smallest common multiple of u and 2250.
38250
Let h be ((-3801)/411 - -7) + 2. Let z = -16711/1644 - h. Calculate the common denominator of 62/39 and z.
156
Calculate the least common multiple of 8/(48/(-42)) - -11 and 1268.
1268
What is the common denominator of -15/22 and 12548/(-17880) + 10/(200/12)?
9834
Let r(p) = -416*p + 7. Let k be r(20). Let g be 2 - (-2 + 41971*(-1)/k). Let y = g - 1/5542. Calculate the common denominator of -23/22 and y.
1122
Let r = 425026/285 - 7457/5. Let f = 16406173/30 + -546872. Find the common denominator of f and r.
570
Suppose 2*s + 150 = -2*t, -4*s + 4 = -0. Let a be (-3 - 77/21)/(2/15). Let g = a - t. What is the common denominator of 31/7 and g?
7
Find the common denominator of 16 - (21 - 93125/18150) and 115/638.
21054
Suppose 122 = 18*n + 14. Suppose n = 28*b - 50. What is the smallest common multiple of b and 36?
36
Suppose 2*n = -3*n + 50. Suppose -111*b = -200*b + 4450. Calculate the least common multiple of n and b.
50
Let g = 51/1942 - -40869/662222. Let l = 30059/35464 - g. What is the common denominator of l and -41/13?
104
Find the common denominator of (-10)/6 + (23584/1536 - 20) and 10/(-22) - (-2)/(-4).
176
Let v = 10/767 + 8834/28379. Find the common denominator of (-33)/4*(7 + 171/(-27)) and v.
74
Let b = -122 + 60. Let t = 74 + b. What is the least common multiple of t and 33?
132
Let h be (4020/(-18))/(1/3). Let n be -2 + (6519/h - -3). Let b = n + 2/67. What is the common denominator of 91/110 and b?
110
Let a = 28438 - 17517883/616. What is the common denominator of a and 127/308?
616
Let s = 19/296 + -4313/1480. What is the common denominator of 51/796 and s?
3980
Let j = -1088 + 17415/16. Let c = 15/30991 + 215077/3842884. Calculate the common denominator of j and c.
496
Suppose 0 = 5*u - 4*a - 6470, 23*u + a - 3899 = 20*u. Calculate the smallest common multiple of u and 22.
1298
Suppose 0 = -5*g - 182 + 197. Suppose -5*l + 269 = g*y, -y + 5*y - 267 = -5*l. Calculate the smallest common multiple of l and 10.
110
Suppose 0 = -4*o - 123 + 183. Calculate the lowest common multiple of 102 and o.
510
Suppose 0 = -t + 2*q, -3*t + 33 = t + 3*q. Calculate the common denominator of t/(-14) + 1318/(-28) and (-35)/(-357)*(-28 - 2).
34
Let h = 123097 - 4801259/39. Let s = 51/26 - h. Calculate the common denominator of (36*1628/2997)/(10/(-3)) and s.
30
Let b = 230 - -114. Let w be (-2 + 0 + 308)/((-132)/b). Let v = -793 - w. Find the common denominator of -31/29 and v.
319
Let r(b) = -3*b + 62. Let q = -108 - -136. What is the smallest common multiple of r(17) and q?
308
Let z = -22970 + 23003. Let r = 5 + -2. Calculate the lowest common multiple of z and r.
33
Let s = -660/167 + 85203/23714. Let f = s + -2484/497. Calculate the common denominator of 1606/(-880) - (0 + 1) and f.
280
Let v be -1*(-2 + (6 - 142009)). Let f = v - 19880783/140. What is the common denominator of -5/28 and f?
140
Suppose -7*m + 2*m = -40. Let x(b) = -b**3 + 6*b**2 - 10*b + 27. Calculate the lowest common multiple of m/(-12) + 70/6 and x(4).
209
Suppose 26*t = 9*t + 2992. Find the common denominator of (726/t)/((-9)/12) and -30/7.
14
Let y = 154 - 146. What is the common denominator of (-2)/y + (-497)/616 and -46/11?
88
Let j = -423 - -630. Suppose 179 = -4*c + j. What is the least common multiple of (66/55)/(4/10) and c?
21
Suppose 0*m + 6 = -3*m, -197 = 5*b + m. Let h = b - -50. What is the least common multiple of h and (-62)/(-12) + 3/(-18)?
55
Let x(r) = r**2 - 5*r + 3. Let u be x(2). Let q be u + (-49 - -3) + -1. Let y = q - -54. Calculate the least common multiple of 8 and y.
8
Calculate the common denominator of (((-5915)/312)/7)/((-15)/84) and 1/1221.
2442
Let l = 5 - 3. Let a = 1079 - 699. Let k = a - 368. What is the lowest common multiple of l and k?
12
Let a = -31575 + 441953/14. Calculate the common denominator of 32/11 and a.
154
Let d = -30887/16 - -1928. Find the common denominator of -127/1100 and d.
4400
Let z = -995 + 1866. Let u be z/(-1266) + 14/3 + -4. Let j = 9567/3376 + u. Find the common denominator of j and 43/6.
48
Let a = 509 + -408. Let s = a + -269/3. Find the common denominator of -1/46 and s.
138
Let g = -2295505/44 - -52173. Let a = 43/123 - -2281/13530. Calculate the common denominator of g and a.
220
Suppose -k = -6*l + 20, 88*l = 83*l + 30. Let r(c) = 4*c - 1. Let i be r(3). Let y(h) = h**2 - 9*h. Calculate the smallest common multiple of k and y(i).
176
Let z(y) = 28*y - 13. Let d be z(4). Suppose -d = -3*n + 6*n. Find the common denominator of ((-276)/(-2576))/((-592)/(-294) + -2) and n.
8
Let t be -33*(2 - 10/6). Let s(r) = -r - 6. Let m be s(t). Suppose l + f + 4*f = 7, -2*l + m*f = -29. Calculate the smallest common multiple of l and 6.
12
Suppose 14*g - 17*g + 943 = -2*d, -3*g - 4*d + 949 = 0. Calculate the least common multiple of 105 and g.
315
Let g be (-2 - -1)/((-1)/(-6)). Let s be (-2*(3/g - -1))/(-3664). Let c = 42151/54960 - s. Find the common denominator of -1/6 and c.
30
Let j = -875 + 9657/11. Let p be (-2)/11 + 120/(-66). What is the common denominator of j and (p/(-36))/(2/23)?
396
Let b = -3599284/63307405 + -1/87805. Find the common denominator of 41/63 and b.
6489
Let z be (8 + 7)*1/3. Suppose 2*d - z*t = -d - 443, -2*d = -t + 286. Calculate the least common multiple of 1 and d/(-12) - 1 - (-9)/36.
11
Let u = 460/7 + -58434/889. Let y = -1133/635 + u. Suppose 0 = -3*c - 10 - 2, c - 1 = f. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
Is 22 a factor of t(-3)?
True
Let j = -1751 + 5657. Does 62 divide j?
True
Suppose 3*u + 9 = -3*h, -4*u = 2*h - 9*u - 22. Let x(r) = h - 7*r**2 + 1 + 9*r**2 - r. Does 10 divide x(4)?
True
Is (-4240)/(-28) - (-2 - (-51)/21) a multiple of 4?
False
Let v(d) = d**2 + 8*d + 7. Let l(w) = w**3 - w**2 - w - 7. Let f be l(0). Let a be v(f). Is -18*(a - (-16)/(-12)) a multiple of 12?
True
Suppose 0 = 2*a - 0 + 40. Let r be ((-48)/a)/((-6)/(-100)). Let s = r - 18. Is 11 a factor of s?
True
Suppose 0 = -5*a + p + 891, 180 = -3*a + 4*a - 2*p. Is a a multiple of 21?
False
Let d = 528 - 320. Does 4 divide d?
True
Suppose 0 = -247*m + 255*m - 704. Does 22 divide m?
True
Let m(w) = w**2 - w. Let n be m(2). Suppose o = -z + 33, o - 3*z - 27 = n*z. Suppose -4*u = -0*u - o. Does 3 divide u?
False
Suppose -3*g + 4*k - 10 = 2*k, 5*k = 4*g + 18. Is 27 - g*(-3 - -1) a multiple of 4?
False
Suppose -2917 = -13*y + 10733. Does 15 divide y?
True
Is 400/8*((-198)/(-4) + 4) a multiple of 19?
False
Let p = -340 - -482. Suppose -8 = -5*t + p. Is t a multiple of 24?
False
Let s(g) = 13*g**3 + 6*g + 2*g**2 + 2 - 3*g - 12*g**3. Let z be s(-3). Let r = z - -43. Is 16 a factor of r?
False
Let a(f) be the first derivative of -f**3/3 - 2*f**2 + 3*f - 6. Let i be a(-5). Let r(l) = 3*l**2 - l - 2. Is r(i) a multiple of 3?
True
Suppose -2*q = 5*p - 4*q - 61, 0 = 5*p + 5*q - 75. Let t = 8 - 8. Suppose -15*x + p*x + 48 = t. Is 24 a factor of x?
True
Let l = -3 - -7. Suppose c - 1 = 2, 2*v - 32 = l*c. Does 6 divide v?
False
Suppose -2*a + 5*v + 31 = a, 3*a = v + 11. Suppose -40 = -a*s + 6. Does 3 divide s?
False
Is 1086/4*((-290)/30 + 11) a multiple of 14?
False
Let d be (8/(-5))/((-1)/(-10)). Let i(f) = 5*f - 3*f + 0*f + 12 + f**2 + 12*f. Does 13 divide i(d)?
False
Let i(h) = -1. Let y(n) = 7*n - 7*n + n + 9. Let x(p) = 18*i(p) + 2*y(p). Is 5 a factor of x(6)?
False
Let g(l) = -l**2 + l + 11. Let b be g(0). Suppose -b*x + 10*x = 2. Let h(a) = 3*a**2 - a. Does 14 divide h(x)?
True
Suppose 4177 + 8948 = 25*n. Is 9 a factor of n?
False
Let j = 2493 + -1337. Does 141 divide j?
False
Suppose 901 = 2*f + 261. Does 10 divide f?
True
Suppose 0 = -7*x - 116 + 1138. Suppose -x + 416 = 2*g. Is g a multiple of 9?
True
Let z(v) = 2*v**2 + 3*v - 25*v**2 + 0 - 2 + 8*v**2 + 3*v**3. Is 22 a factor of z(6)?
False
Let d(z) = -z + 2. Let m be d(1). Is 15 a factor of (-448)/(-10) + m/5?
True
Let o = -28 + 157. Let a = 232 - o. Does 19 divide a?
False
Let w be 4/6*-6 + 73. Suppose -4*o - 4*g = g - w, -4*o = 4*g - 64. Does 6 divide o?
False
Let x(k) = 0*k - 6 + 18*k + 3. Let q be x(2). Does 11 divide 88/q*1*6?
False
Let x(z) = z**2 + 6*z - 2. Let c be x(-5). Let v = c - -114. Is 16 a factor of v?
False
Let w = 1030 + 1747. Does 21 divide w?
False
Let b(w) = -w**3 + 3*w. Let x be b(-4). Let a = -3 + x. Does 10 divide a?
False
Suppose 1 = -4*i + 2*t - 3*t, -2*t - 2 = -i. Suppose i = -5*s + 27 + 18. Is 2 a factor of s?
False
Let s = -15 + 50. Let h = s + -17. Suppose -4*w + h = -102. Does 10 divide w?
True
Let x(c) = 2*c**3 + c**2 + 3*c + 4. Let g be x(-3). Let z = g - -90. Is z a multiple of 10?
True
Is ((-2 - -5) + -4)*(-1175 + 11) a multiple of 40?
False
Let y(z) be the third derivative of -7/30*z**5 + 7/3*z**3 + 0*z - 1/120*z**6 - 13/24*z**4 + 0 - 2*z**2. Is 10 a factor of y(-13)?
False
Suppose -4*g = -2*c + 6*c - 4168, c - 1036 = g. Is c a multiple of 23?
False
Suppose -503 = -13*o + 3501. Does 11 divide o?
True
Suppose 2*k - 8 + 42 = 0. Let n = 2 + k. Does 16 divide (-42)/((n/4)/5)?
False
Let z(p) be the second derivative of p**3/6 + 2*p**2 - 4*p. Let r be z(-3). Suppose -r - 14 = -5*m. Is 3 a factor of m?
True
Let o(n) = -n**3 - 33*n**2 + 34*n + 45. Is 20 a factor of o(-34)?
False
Let w = 1954 - 1417. Does 37 divide w?
False
Let s(w) = w**3 + 19*w**2 - 17*w + 27. Let i be s(-20). Let h = -37 - i. Is 20 a factor of (110/h)/((-2)/4)?
False
Let o = 3 + -67. Let w be ((-10)/8)/(16/o). Suppose -5*a - w*n + 325 = 0, -2*a + 0*n - 5*n = -142. Does 18 divide a?
False
Suppose 9*i + 18*i = 4860. Does 15 divide i?
True
Let c(b) be the first derivative of -17*b**5/120 - b**4/24 + 10*b**3/3 + 7. Let t(v) be the third derivative of c(v). Does 14 divide t(-2)?
False
Suppose 0 = 11*r - 30*r + 38. Let q = 104 - 32. Suppose r*v = -2*v + q. Does 5 divide v?
False
Let m = 0 + 5. Suppose 5 = m*s - 0*s. Is (-2)/(s*(-2)/10) a multiple of 5?
True
Let v be -2*1/(6/(-9)). Suppose -208 = -x - v*x. Suppose 5*u = 8 + x. Does 4 divide u?
True
Let f(b) = b**2 + 9*b + 10. Let k be f(-5). Is 52 a factor of 1/(-3) + k/6 + 262?
True
Suppose -5*r - 10 = -2*g + 65, 4*r = 5*g - 162. Does 6 divide g?
True
Suppose 51 - 27 = 4*b. Suppose -3*v + 162 = b*v. Is 9 a factor of v?
True
Let b(h) = 4*h**2 + 12*h + 24. Is b(-7) a multiple of 6?
False
Is (-1979 + 9)*((-70)/25)/7 a multiple of 65?
False
Let k(w) = 2 + w**3 + w**3 + 2*w**2 - w**3 + 4*w. Let x be k(-2). Is 19 a factor of ((-152)/x)/(6/9)?
True
Let c = -6231 + 9176. Is c a multiple of 86?
False
Let p(c) = 9*c**2 - 7*c + 3. Is p(12) a multiple of 27?
True
Let i = -681 - -978. Does 9 divide i?
True
Let s(q) = -q**2 + q + 1. Let u be s(0). Let m be 17/u - (12 - 12). Suppose -5*g + 75 = 5*k, -m = -4*k - 5. Is g a multiple of 3?
True
Let k(q) = 1038*q**2 - 56*q. Is 98 a factor of k(-1)?
False
Let a = 7 - -1. Suppose -a*t = -3*t + 20. Is (-2 - 12/t)*55 a multiple of 17?
False
Suppose -2*q + 109 - 31 = 0. Let m = q - 14. Does 6 divide m?
False
Is (-4)/(-1)*(-49850)/(-200) a multiple of 66?
False
Let d be ((-6)/(-4))/((-12)/(-72)). Is 5 a factor of 23 - (d/(-6) - (-27)/6)?
True
Suppose 4*x + 46 - 2 = 4*z, z + x - 1 = 0. Suppose -z = 2*l + q - 15, 4*l + 7 = 3*q. Suppose -l*s = -13 - 5. Does 4 divide s?
False
Let d be 1*(-3 + 1) + 0 + 2. Suppose 5*f - 2*y - 1043 = d, -2*f = f + y - 628. Is f a multiple of 31?
False
Let r(q) = -2*q**2 + q + 2. Let h be r(2). Let p be h/10 + (-102)/(-30). Is 3 a factor of p + 3 + -2 + 2?
True
Let z = -40 - -34. Let s = z - -20. Is s a multiple of 4?
False
Suppose 1645 = 12*m - 2303. Is 9 a factor of m?
False
Let i be (-2 - (2 - 3)) + 1. Suppose -2*c - 18 + 6 = i. Let a(r) = r**2 + 4*r + 3. Does 15 divide a(c)?
True
Suppose 46*r = 109202 + 12882. Is 23 a factor of r?
False
Let j = 22 + -20. Suppose h - 32 = 4*m, -5*h - j*m + 190 = -7*m. Is 8 a factor of h?
True
Suppose 20664 = -3*n + 27*n. Is 7 a factor of n?
True
Let a(o) = -28*o**2 - 4*o - 4. Let g be a(-2). Let f be 2 - (g/3 + -1). Suppose f = -2*p + 249. Is p a multiple of 22?
False
Let b(m) = -m**3 + 14*m**2 + 12*m - 123. Is b(11) a multiple of 3?
True
Let f(l) = 124*l - 68. Is f(7) a multiple of 19?
False
Let n(r) = -390*r**3 + r**2 + 2*r + 1. Let m be n(-1). Suppose o - m = -4*o. Is o a multiple of 13?
True
Suppose -4*v = -0*v - 2648. Let d be 30/(-40) + v/8. Suppose g = 3*g - d. Does 15 divide g?
False
Suppose 30 = -4*f + 6*f. Suppose 13*k = f*k - 172. Does 38 divide k?
False
Suppose -15*q + 2496 = 17*q. Is 3 a factor of q?
True
Suppose 51*k = 53*k - 3064. Is k a multiple of 4?
True
Let d(y) = y - 3. Let s be d(14). Let r = s - -4. Is r a multiple of 15?
True
Let w(j) be the second derivative of -41*j**3/6 - 11*j**2/2 + 16*j. Does 7 divide w(-3)?
True
Let k = 138 - 75. Suppose -4*u - 3*u = -k. Is u a multiple of 9?
True
Let z(u) = -12*u - 6 - 12*u**2 + 0*u**3 + 0 + 0 - u**3. Let r be z(-11). Let j(h) = -h**3 + 6*h**2 - 5*h + 6. Does 4 divide j(r)?
False
Suppose -h = -o - 3, -2*o + 13 = 4*h + 49. Let b be ((-36)/o - -3)*4. Suppose -3*x + 0*x = -c - b, 2*x = -c + 15. Does 6 divide x?
False
Let v be (-21)/(-15) - 6/15. Let u(j) = -2*j + 2*j + j - 3*j + j**2 + v. Is u(-3) a multiple of 16?
True
Suppose t - v = 4*t + 24, 3*v = 3*t + 24. Let m = 18 + t. Does 3 divide m?
False
Suppose -12 = 6*f - 36. Suppose 146 + 814 = f*g. Is 18 a factor of g?
False
Suppose -6 - 26 = -8*j. Suppose -j*t - 2*c + 807 = 3*c, -1025 = -5*t - 3*c. Is 52 a factor of t?
True
Let h(a) = 12*a**2 + 10*a - 5. Let n be h(11). Let f be 4/(-14) - n/63. Does 13 divide (-640)/f + 2/5?
True
Let z be (16 - 16)/((-1)/(-1)). Suppose z = -a + 2*b + b + 18, 0 = 3*a - 4*b - 54. Is a a multiple of 6?
True
Let d(z) be the first derivative of -11*z**4/4 - z**3/3 + z - 5. Let l be d(-2). Let c = l + -51. Is 13 a factor of c?
False
Let c be 36/9 + -2 + 31. Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
2
-1 + 1 + (5 - 4)
1
What is the value of -7 + (-17 + 20 - (-4 + 1))?
-1
Calculate (25 - 6) + -12 - 16.
-9
Calculate 1 - (-4 + 2 - -2).
1
What is the value of 9 + -7 + -4 + -2?
-4
What is the value of -2 - (-6 - 1) - 1?
4
7 + 7 + -10 - 6
-2
1 - (-1 - -2 - (2 - 1))
1
What is the value of 13 + 3 + -8 - (14 + -10)?
4
3 - (-4 + (2 - 0))
5
(3 - 2) + (5 - 1)
5
(-6 - -1) + (34 - 31)
-2
What is the value of (-4 - -1) + (-1 - 0)?
-4
What is (3 - (6 - 10 - -4)) + -5?
-2
What is 4 + -8 + 5 + 3?
4
Calculate -1 + 8 + -5 - -1 - 5.
-2
(11 + -7 - -1) + -4
1
Evaluate 9 + (-7 - -2) + 4.
8
Calculate 3 + -3 - (-1 - -6).
-5
What is (1 - (-11 + 2)) + -5?
5
What is -1 - 3 - (-4 - 3 - -1)?
2
What is -9 + (0 - (-2 + -1)) - -6?
0
Evaluate (-2 - -1) + (-3 - (1 + -4)).
-1
Evaluate -10 - (5 - 8) - (0 + -4).
-3
Evaluate (-10 - (-1 + -6)) + (-2 - -2).
-3
What is the value of 4 - (1 + (-3 + 1 - -3))?
2
7 + (0 - 3) - 2
2
-11 + 10 + -1 + 2
0
What is -1 + 2 + 1 - (-11 - -8)?
5
Calculate 1 + -1 + -26 + 22 - -9.
5
What is the value of -2 + (36 - 31 - (4 + 1))?
-2
What is (-11 - -11) + (2 - 2) + 11?
11
What is the value of 1 - ((-6 - (3 - 7)) + 4)?
-1
Calculate -8 - (-14 - -9) - (-1 + 1).
-3
Calculate (-5 - -2) + 1 - 3.
-5
What is 18 - (4 - 0 - -8)?
6
Calculate 3 - (5 + 6 + 2 + -4).
-6
What is the value of (20 - (10 + 2)) + -6?
2
Evaluate 9 - (4 + (-7 - -6)).
6
Evaluate (-1 + -1 - -2) + -5 + 3.
-2
What is the value of 6 - (3 - 3 - -1)?
5
What is -1 + -14 + 3 + 8?
-4
Evaluate -4 - -4 - 3 - (5 + -13).
5
What is the value of 5 + -6 + -1 + 9?
7
Calculate -4 + (-1 - 0) + 1 + 9.
5
(1 - 6) + (6 - (11 + -8))
-2
What is 0 + 2 + -1 + (0 - 2)?
-1
-3 - (-5 - (6 + -7))
1
3 + -7 + 3 + 4
3
What is -5 - (0 - -4 - -5 - 6)?
-8
Calculate -1 + (-2 - (-4 - -2)).
-1
What is the value of 2 - (4 + 0) - 3?
-5
Evaluate -4 + (0 - (0 + 2)) + 4.
-2
What is 5 + ((-7 - -10) + 4 - 9)?
3
Evaluate 7 + 0 + 0 - 4.
3
What is the value of (1 - -3) + (3 - (-1 - -4))?
4
What is the value of (4 - 9) + -1 - -2 - -5?
1
Evaluate (-1 - (1 + 1)) + 5.
2
Evaluate (8 - 13) + (4 - 1) - 1.
-3
(23 - 23) + -1 + 0
-1
What is (-6 - (-7 - (1 + -5))) + -1?
-4
What is -1 + 3 + -3 - 0?
-1
Evaluate 4 - (-2 - -3) - 2.
1
12 - (10 - (-2 + 5))
5
Evaluate 4 + 1 + (-10 - -6).
1
What is -3 + (5 + (-3 - -1) - -2)?
2
What is the value of -2 - (-2 + (2 - 2) + 3)?
-3
Evaluate 5 + -1 + -4 + 2.
2
What is -24 + 19 - (2 + 0)?
-7
Evaluate -8 - (-4 - (2 + 1)).
-1
Calculate -1 - ((3 - (0 - -5)) + 0).
1
Calculate 2 - (1 - 3 - -7).
-3
(-5 - (-2 + 0)) + 5
2
Calculate -3 - -7 - (1 - 2).
5
Evaluate (-6 - (1 - 2)) + 2 + -1.
-4
Evaluate (-199 - -196) + -1 + 9 + -2.
3
Evaluate 8 + -10 + 0 + (1 - 1).
-2
Calculate (-4 - (-2 + 7 + -10)) + 4.
5
What is the value of (-1 - -1) + -1 - (-6 + 0)?
5
Evaluate -2 - (-4 + 7) - (1 + -5).
-1
Calculate -8 - (-1 + 1 + -4).
-4
Calculate 6 + -3 - 9 - -2.
-4
Evaluate 14 + -11 + (1 - -2).
6
Evaluate (2 - 8) + 1 + 11.
6
Calculate 0 - (-5 + 0) - 9.
-4
What is the value of -10 - -13 - (6 - 2)?
-1
Evaluate (6 - (-9 - -22)) + 2 + 2.
-3
-1 + (3 - -1 - (-10 + 10))
3
-1 + 2 + 1 + 35 + -42
-5
Calculate 2 + (-4 - (2 + -2 - -4)).
-6
Calculate 5 + 2 - 5 - (-1 + 0).
3
(-5 - -5 - 4) + 0 - -8
4
What is the value of (-4 - -1) + (1 + -2 - -5)?
1
Evaluate 24 - 10 - 5 - 9.
0
What is the value of (-7 - 1) + 4 + 1?
-3
5 - 14 - (1 - 3)
-7
What is 1 - 8 - (-8 - -2)?
-1
Calculate 8 + (6 + -6 - 8) - -8.
8
What is (3 - 8) + 12 - 5?
2
What is (-1 - 4) + 0 + 3?
-2
Evaluate 2 - -3 - (4 + 1).
0
Evaluate 0 + (8 - 11) - 0.
-3
Evaluate (-6 - (-12 + 2)) + -2.
2
What is the value of (-7 - -2) + -3 - -6?
-2
-8 + 7 - (7 + -14)
6
Evaluate 1 + -6 + 2 + (3 - 2).
-2
Evaluate (-1 - (-2 - -9)) + (12 - 9).
-5
-2 + (4 - 7) - (1 + -5)
-1
Evaluate 1 - (-10 - (-6 + 0)) - 3.
2
(3 - 3) + -6 + 5
-1
What is the value of 7 + -6 + -6 + 2?
-3
Evaluate 0 + (-1 - -1) - (4 - 8).
4
Calculate (45 - 51) + (-1 - -2 - -2).
-3
3 - (-1 + 6 - (8 - -1))
7
What is the value of -10 - -11 - (0 + -1 + 2)?
0
Evaluate 0 - (-8 + 2) - 2.
4
Evaluate -14 + 11 + 3 + 0.
0
Calculate (-5 - -3) + (-3 - (2 + -7)).
0
-7 - -4 - (0 + -3)
0
What is -3 - -5 - (19 - 14)?
-3
2 - (-1 + -2 + (7 - 3))
1
Calculate (11 - 4) + -2 - 0.
5
1 + -3 + -13 + 14
-1
What is the value of -2 + (2 + -2 - -3)?
1
Calculate (0 + 1 - -2) + 83 + -85.
1
13 - 12 - (-4 + 2 + -7)
10
Calculate 37 + -36 + (0 - 5).
-4
Calculate 3 + -2 + 1 - (1 - 4).
5
Evaluate -3 - -5 - -1 - (10 - 6).
-1
What is (3 - (-2 - 0)) + -4 + 7?
8
1 - (21 - 13) - -4
-3
What is 14 + (-13 - (-4 + -8 + 5))?
8
What is the value of 1 - -1 - 6 - (2 + -10)?
4
Evaluate 4 + (-11 - (1 - 3) - -4).
-1
What is the value of -713 + 717 - (15 + -1 + -1)?
-9
Calculate 8 - (2 - (-4 + -2 + 3)).
3
What is the value of -4 + 5 + 4 + 0 + 0?
5
What is the value of (-3 - (-1 - -3)) + -1 + 3?
-3
Calculate 2 + (-2 - 6) + 8.
2
(1 - 2) + -6 - (0 - 2)
-5
Evaluate 2 - 1 - (9 + -6) - -2.
0
What is the value of 4 + -4 - 5 - (-10 + -6)?
11
(-3 - (-2 - 2)) + 1
2
Evaluate 2 + (8 - (10 + -12 + 6)).
6
27 + -31 - (2 + -1)
-5
-1 + -12 + (-12 - -21)
-4
Evaluate -6 - (-5 - 0) - 4.
-5
What is -1 - -5 - (55 - 45)?
-6
What is the value of -9 - -2 - (-6 + -4)?
3
Calculate (-1 - -1 - 5) + 0.
-5
What is (-1 - -4 - 7) + (3 - -5)?
4
9 + (3 + -7 - -1) + 2
8
What is (-6 - -5 - (-1 - 0)) + 2?
2
11 - (8 - (8 - 8))
3
What is (-3 + 3 - 4) + 9?
5
Calculate -5 + (2 - (2 - -3)) - 2.
-10
-1 + -1 + (1 - (5 + -4))
-2
Evaluate (-6 + -1 - -3 - -4) + 1.
1
What is 1 + -12 - (44 + -53)?
-2
What is the value of (12 - 16) + -7 + -1 + 8?
-4
What is the value of 3 - ((0 - 2) + 55 + -46)?
-4
What is the value of 2 + (0 - -3) - (-19 - -17)?
7
Calculate -1 - (-2 + (-2 - -1)).
2
Calculate -2 - (6 + -6) - (-2 - -7).
-7
Calculate 1 - (5 - (-5 + 6)).
-3
What is the value of -1 + -3 + (0 - -3) - 1?
-2
What is 0 + (-3 - -2) - -1 - 10?
-10
What is (-3 + (4 - 1) - -3) + -8?
-5
6 + 1 + -11 + 0
-4
Calculate -10 - -8 - 6 - -4.
-4
What is the value of -7 + 7 + (-2 - (-4 - -5))?
-3
What is 0 + (-5 + 7 - (4 - 1))?
-1
Calculate -7 + 4 + -3 - -12.
6
-12 - -5 - 1 - -10 - 8
-6
What is (1 - 5) + -1 - -1?
-4
Evaluate 8 + -12 + 13 + -16.
-7
What is 1 + (-3 - (1 - -2))?
-5
Calculate (1 - 0) + -4 + 1 + 0.
-2
4 - 3 - 2 - (1 + -5)
3
11 + (6 - 10) - 9
-2
Calculate 1 + (-2 - 1 - -2).
0
What is the value of -8 - ((-3 - -11) + -17 + -6)?
7
Calculate 3 - (0 - 3) - (21 - 15).
0
Evaluate 1 + 5 + -2 + -2.
2
Calculate (-6 - 0) + 2 + (41 - 42).
-5
Calculate 4 + -6 + -1 - (2 - 3).
-2
What is the value of -1 - (-3 + 0 + 6 - 5)?
1
(-3 - (2 + -1)) + -1
-5
Evaluate 0 + 1 - (-5 + 2).
4
-7 + 5 + -2 + 2
-2
What is the value of (-2 - -9) + -1 + -9?
-3
What is -3 - (5 + -3 + -8)?
3
Evaluate 1 + -2 - (5 + -3) - -8.
5
Calculate (-10 - -8 - 4) + 11.
5
What is 5 + (-4 - 7) + 10?
4
What is the value of 6 + 0 + (-2 - 3 - -2)?
3
-3 - (0 - 5) - (7 - 9)
4
Calculate 2 + 2 - (-4 - -4 - 0).
4
What is the value of -146 - -142 - (3 - 1)?
-6
Evaluate 10 - (4 + 9) - (-3 - 2).
2
Calculate (-5 - -2) + (9 - (12 - 2)).
-4
What is (-5 - -17) + (0 - 5)?
7
Evaluate (-6 - -8) + 6 + 3.
11
(2 - 21) + 3 + (-7 - -14)
-9
What is 2 + 1 - (-4 - -8)?
-1
Evaluate 4 + (2 - (8 + -1)) + 0.
-1
What is the value of 6 - (3 - 2 - -3)?
2
Evaluate 5 + -8 + (-1 - -9).
5
Calculate 4 + -12 + -15 + 14.
-9
What is the value of 4 - (1 + -2) - 1?
4
-6 + (-2 - -4) + 4
0
What is 5 + (-2 - 1) - (-4 - -3)?
3
(6 - 12 - -2) + 0 + 3
-1
(-58 - -61) + -7 + 0
-4
What is the value of 8 + (-7 - (2 - 2))?
1
Evaluate 1 - -10 - (-3 + 4).
10
Evaluate -4 + -1 - (0 - 1).
-4
What is 2 + ((3 - 0) + -2 - 1)?
2
What is the value of 0 + (-3 - -1 - (8 - 9))?
-1
Calculate -11 + 9 + 1 - (0 + -1).
0
Calculate (-10 - -4) + 1 + -1.
-6
Evaluate -8 - ((3 - 16) + 11).
-6
What is -1 - (0 + (10 - 8))?
-3
Evaluate 8 + -8 + (-6 - -8) - -7.
9
What is the value of -16 + 25 + 1 + -11?
-1
What is 0 - (-3 + 0 + 6 - 2)?
-1
What is -5 + 3 + -2 + 4 + -1?
-1
Evaluate 14 + (-10 - -19 - 19).
4
4 - (5 + (2 - 7))
4
What is the value of (-5 + 10 - 1) + -2?
2
Calculate (2 - (-9 + 10)) + -3 + -1.
-3
What is 1 - (-5 - (-5 - -4))?
5
Evaluate -5 - (-1 - 4) - -3.
3
What is -12 + (-4 - (1 + 6 + -17))?
-6
Calculate -25 + 22 + (9 - 2).
4
What is the value of -4 - -3 - (0 - 6)?
5
What is the value of 0 + 2 + 0 - (7 - 4)?
-1
Calculate (-11 - -20) + (-4 - 1).
4
Evaluate -11 + 10 + 0 + -5 + 0.
-6
5
|
{
"pile_set_name": "DM Mathematics"
}
|
ighest common factor of 500 and 15802625?
125
Calculate the highest common divisor of 3317 and 95927640.
3317
Calculate the highest common factor of 140 and 828100.
140
What is the highest common divisor of 779460 and 4895?
55
Calculate the greatest common factor of 650 and 32336750.
50
Calculate the greatest common factor of 4752 and 98252.
44
What is the greatest common factor of 884 and 1592288?
68
Calculate the greatest common factor of 12 and 73517152.
4
Calculate the highest common factor of 185811 and 49344.
771
What is the highest common divisor of 203528 and 642200?
1976
Calculate the highest common factor of 717440 and 136.
8
What is the highest common divisor of 672 and 8579592?
168
What is the greatest common divisor of 49379172 and 12?
12
Calculate the greatest common factor of 1722079 and 13501.
23
Calculate the highest common divisor of 3247 and 30379.
17
Calculate the highest common divisor of 44880619 and 219.
73
What is the highest common divisor of 25293970 and 260?
130
Calculate the highest common factor of 144667191 and 1986.
993
What is the greatest common divisor of 49580 and 2527240?
1340
What is the greatest common factor of 1187010 and 6655?
605
Calculate the greatest common divisor of 175 and 7894575.
25
What is the highest common factor of 179995246 and 114?
38
Calculate the highest common factor of 23360 and 6468530.
730
Calculate the greatest common factor of 2059780 and 320.
20
Calculate the greatest common factor of 16454 and 4522.
38
What is the greatest common factor of 360535314 and 3501?
1167
Calculate the highest common divisor of 11498780 and 700.
20
Calculate the greatest common factor of 505 and 4461130.
5
Calculate the highest common factor of 23556 and 292123845.
5889
Calculate the greatest common divisor of 8196390 and 43849.
3373
What is the highest common factor of 4214067 and 152139?
1833
What is the greatest common factor of 92 and 767901?
23
What is the greatest common factor of 1685 and 42336299?
337
What is the greatest common divisor of 35 and 4678030?
35
What is the highest common divisor of 171 and 22360464?
9
Calculate the greatest common divisor of 194 and 25853.
1
Calculate the greatest common factor of 7 and 838761.
7
Calculate the highest common divisor of 161811 and 29133.
351
Calculate the highest common divisor of 21 and 12620643.
21
What is the greatest common divisor of 293 and 1538824573?
293
Calculate the highest common factor of 466545 and 65.
5
Calculate the greatest common divisor of 15488 and 1251008.
704
What is the highest common factor of 137194200 and 6560?
1640
Calculate the greatest common divisor of 9702 and 696906.
126
Calculate the highest common divisor of 92 and 1103885.
23
Calculate the greatest common divisor of 11186 and 807742.
94
What is the highest common factor of 3568 and 380215?
223
What is the greatest common factor of 241777 and 34481?
41
What is the highest common divisor of 972396 and 171?
9
Calculate the greatest common factor of 12750 and 7384875.
375
What is the greatest common divisor of 7620 and 608383340?
2540
Calculate the highest common divisor of 40830 and 127050.
30
What is the greatest common divisor of 60 and 3233190?
30
What is the greatest common factor of 488 and 51797784?
488
What is the highest common divisor of 142241 and 18559?
67
Calculate the greatest common factor of 198553880 and 1003.
1003
Calculate the greatest common factor of 1207 and 102132719.
1207
Calculate the greatest common factor of 1817 and 341044.
23
Calculate the greatest common divisor of 8644 and 10063777.
2161
Calculate the greatest common divisor of 52488 and 22872.
24
Calculate the highest common divisor of 578646 and 35624.
122
Calculate the highest common divisor of 1123641 and 8037.
171
What is the highest common divisor of 16453370 and 70?
10
What is the greatest common factor of 396 and 134500014?
198
Calculate the highest common divisor of 31390043 and 107813.
823
What is the highest common divisor of 223441490 and 930?
310
What is the greatest common divisor of 725 and 2514590?
145
What is the greatest common divisor of 11819980 and 34760?
1580
What is the greatest common divisor of 1389976 and 19418?
14
Calculate the highest common divisor of 2303 and 9259873.
49
What is the greatest common factor of 577800 and 1098?
18
What is the greatest common divisor of 976080590 and 40?
10
What is the highest common factor of 282643224 and 136?
136
Calculate the highest common factor of 33090 and 933420.
30
What is the highest common factor of 266 and 121236017?
133
What is the greatest common divisor of 223736580 and 30?
30
Calculate the highest common divisor of 415 and 233977.
83
Calculate the highest common divisor of 143608481 and 7521.
2507
What is the greatest common factor of 117694 and 2437378?
166
What is the highest common divisor of 418 and 37667519?
19
Calculate the greatest common factor of 38468560 and 4160.
1040
What is the highest common divisor of 713 and 289881?
31
Calculate the greatest common divisor of 3630 and 619476440.
1210
What is the greatest common divisor of 86900 and 23540?
220
Calculate the greatest common divisor of 51622186 and 5390.
1078
What is the greatest common divisor of 6062 and 32298?
14
What is the greatest common divisor of 3412976 and 10850?
434
Calculate the highest common factor of 17 and 148122734.
17
Calculate the highest common divisor of 380755 and 82895.
1405
Calculate the highest common divisor of 19846700 and 115.
115
What is the highest common factor of 431545995 and 1206?
603
Calculate the highest common factor of 1098 and 389094417.
549
Calculate the highest common factor of 70 and 16978150.
70
Calculate the greatest common divisor of 1238985 and 83061.
99
What is the greatest common factor of 83862 and 1288990?
3106
Calculate the greatest common factor of 13423785 and 1140.
285
Calculate the greatest common divisor of 59694696 and 63.
9
Calculate the highest common factor of 19119503 and 65.
13
What is the greatest common factor of 24604428 and 50568?
516
Calculate the greatest common factor of 904 and 254620866.
226
Calculate the highest common divisor of 11687172 and 336.
84
Calculate the highest common factor of 154093 and 177587.
691
Calculate the greatest common factor of 517025535 and 15.
15
Calculate the greatest common factor of 12488724 and 12.
12
What is the highest common factor of 27944 and 1762967?
499
Calculate the greatest common divisor of 2002555756 and 2452.
2452
Calculate the highest common divisor of 18370 and 6400442.
334
What is the greatest common divisor of 277422 and 159?
3
Calculate the highest common divisor of 189111564 and 972.
108
Calculate the greatest common factor of 94697 and 161760.
337
Calculate the greatest common factor of 1301265 and 1539027.
3213
What is the highest common factor of 42 and 520777446?
42
Calculate the highest common factor of 3234 and 103422.
66
What is the highest common factor of 125540068 and 76?
76
What is the greatest common factor of 22205550 and 300?
150
What is the greatest common factor of 17612 and 45220?
476
Calculate the greatest common divisor of 3294 and 1984284.
54
What is the greatest common factor of 42 and 1079106?
42
Calculate the highest common factor of 3216451 and 1074.
179
Calculate the greatest common factor of 536 and 14007032.
8
What is the highest common factor of 670785310 and 10?
10
Calculate the highest common divisor of 79735 and 59047.
431
What is the highest common divisor of 460 and 1748690?
230
Calculate the highest common factor of 648441144 and 144.
72
What is the greatest common divisor of 14135 and 66681220?
1285
Calculate the highest common divisor of 1520129 and 1937.
13
What is the highest common factor of 828909 and 434?
31
Calculate the greatest common divisor of 1949725 and 767365.
835
Calculate the highest common factor of 2586771 and 60639.
1479
Calculate the greatest common factor of 116011700 and 1590.
530
Calculate the highest common divisor of 7100041 and 1443.
481
Calculate the highest common factor of 1749 and 7564001.
53
What is the greatest common factor of 6406900 and 2180?
20
Calculate the greatest common divisor of 54834 and 1043289.
1443
What is the highest common factor of 582336 and 36504
|
{
"pile_set_name": "DM Mathematics"
}
|
12 + c + 2931612.
c
Collect the terms in -165 + 77 + 116*k - 115*k + 204.
k + 116
Collect the terms in 111*f - f - 111*f.
-f
Collect the terms in 33*u + 36*u + 25*u + 0*u + 21*u.
115*u
Collect the terms in -1 - 2 + 5352*c**3 + 4 - 5363*c**3 - 1.
-11*c**3
Collect the terms in -9177*a + 9177*a - 9012*a**2.
-9012*a**2
Collect the terms in -39*x**2 - 38*x**2 - 85*x**2 - 39*x**2 + 201*x**2 - 32*x**3.
-32*x**3
Collect the terms in 114*m**2 + 9*m**2 - 125*m**2.
-2*m**2
Collect the terms in -r - r - 23955 - 3489.
-2*r - 27444
Collect the terms in 291501*o**2 + 24*o**3 - 291501*o**2.
24*o**3
Collect the terms in 3*k - 6 - 2*k - 286.
k - 292
Collect the terms in 0*p - 4271*p**3 + 0*p + 6*p**2 + 4261*p**3.
-10*p**3 + 6*p**2
Collect the terms in 38*q + 48*q + 55*q + 48*q - 273*q + 52*q.
-32*q
Collect the terms in -3 - 13933*n**2 - n + n + 3541*n**2.
-10392*n**2 - 3
Collect the terms in 87238 - 87254 - 2*f + 0*f.
-2*f - 16
Collect the terms in -112*o - 80*o + 50*o - 1.
-142*o - 1
Collect the terms in -2203*u**3 + 7893*u**3 - 4 + 4.
5690*u**3
Collect the terms in -31661 + 13*c + 31661.
13*c
Collect the terms in -902*x + 458*x + 449*x + 26.
5*x + 26
Collect the terms in -14*r + 75*r - 27*r - 31*r.
3*r
Collect the terms in -104*x + 62*x - 186*x + 39*x - 171*x.
-360*x
Collect the terms in -105*c**3 + 14763436 - 14763436.
-105*c**3
Collect the terms in -12*m**2 - 10111*m + 10111*m.
-12*m**2
Collect the terms in 276*m**3 + 170*m**3 - 11*m**3.
435*m**3
Collect the terms in -2368*n + 2368*n + 6*n**2.
6*n**2
Collect the terms in -4128*b - 151 - 151 + 4127*b + 303.
-b + 1
Collect the terms in 236*o - 236*o - 547*o**3.
-547*o**3
Collect the terms in -14*i**2 + 14*i**2 - 6536795*i**3 + 6536803*i**3.
8*i**3
Collect the terms in 409*w - 816*w + 417*w.
10*w
Collect the terms in 609*v - 3585*v - 3453*v - 182*v.
-6611*v
Collect the terms in -61*m**3 + 25*m**3 + m + 9*m**3 + 31*m**3 - m.
4*m**3
Collect the terms in 3359*g - 1673*g - 1683*g.
3*g
Collect the terms in -22 + 36 + 10*i**2 - 2*i**2 - 5*i**2 - 14.
3*i**2
Collect the terms in 26*n**2 - 13*n**2 + n**3 + 181*n**3 - 17*n**2.
182*n**3 - 4*n**2
Collect the terms in 1831*m - 274*m - 1557*m - 24*m**2.
-24*m**2
Collect the terms in -11*j - 24*j + 5*j**2 + 14*j + 22*j**2.
27*j**2 - 21*j
Collect the terms in -4*j**2 + 13*j**2 - 9*j**2 + 1042*j**3.
1042*j**3
Collect the terms in -9*x**2 - 54 - 57 + 166 - 55.
-9*x**2
Collect the terms in 1147*w - 2264*w + 1115*w.
-2*w
Collect the terms in 34*k**2 + 6*k**2 - 11*k**2 + 59*k**2.
88*k**2
Collect the terms in -33*q + 96*q - 33*q - 29*q.
q
Collect the terms in -23732*p + 11866*p + 11850*p.
-16*p
Collect the terms in -11*y - 8*y + 37*y - 12*y - 12*y + 51.
-6*y + 51
Collect the terms in 3900*j**2 + 140 - 67 - 73.
3900*j**2
Collect the terms in 21*z**3 + 27*z**3 - 113*z**3 + 25*z**3 + 30*z**3.
-10*z**3
Collect the terms in -170*y**2 + 1205*y**3 + 27*y**3 + 170*y**2.
1232*y**3
Collect the terms in 1 - 337*o**2 + 334*o**2 - 1 + 84*o.
-3*o**2 + 84*o
Collect the terms in -1 + 15 - 5 - 10 + 2029*k.
2029*k - 1
Collect the terms in 25126*c**2 - 25126*c**2 + 297*c**3.
297*c**3
Collect the terms in 31*m + 37*m - 129*m + 28*m.
-33*m
Collect the terms in -34*u**3 + 7038*u - 7038*u - 2.
-34*u**3 - 2
Collect the terms in 189 - 29*g + 58*g - 2*g - 25*g.
2*g + 189
Collect the terms in 21571381 + 10*n - 21571381.
10*n
Collect the terms in 1052*y + 100*y**3 - 2093*y + 1041*y + 11*y**3.
111*y**3
Collect the terms in 15269*f**3 - 5652*f**3 - 9613*f**3.
4*f**3
Collect the terms in 86*h**3 - 171*h**3 + 131*h**3.
46*h**3
Collect the terms in 6*b - b - 2*b + 37 - 39 - 5*b.
-2*b - 2
Collect the terms in -50*k + 123*k - 27*k - 24*k.
22*k
Collect the terms in 16346 + 7*f - 2*f - 8166 - 8180 + 9*f.
14*f
Collect the terms in 3612*n - 3587*n + 42 + 283.
25*n + 325
Collect the terms in 35*u**2 + 36*u**2 - 123*u**2 + 33*u**2 + 43*u**2.
24*u**2
Collect the terms in 1150*g - 4*g + 59*g + 171*g.
1376*g
Collect the terms in 244*v - 546*v - 371*v - 7*v.
-680*v
Collect the terms in 6*f + 3*f + 5*f + 8*f + 3*f.
25*f
Collect the terms in -16 - 577*s + 50 - 19 - 20.
-577*s - 5
Collect the terms in 2*q**3 + 11*q + 17*q - 34*q - 4*q + 10*q.
2*q**3
Collect the terms in -6*d**2 - 16*d + 88*d - 72*d.
-6*d**2
Collect the terms in -192 + 630 - 256 + 2*q - 182.
2*q
Collect the terms in -4297*w - 2652*w - 9831*w.
-16780*w
Collect the terms in 0*h**2 + 0*h**2 + 2051472*h**3 - 2051478*h**3.
-6*h**3
Collect the terms in -3*r + 198*r**3 + 2*r + 578*r**3 - 213*r**3 + r**2 - 4*r**2.
563*r**3 - 3*r**2 - r
Collect the terms in 166192641*i + 8*i**2 + 3 - 3 - 166192641*i.
8*i**2
Collect the terms in -11*x - 25*x - 65*x.
-101*x
Collect the terms in 2641*i - 7775*i + 2570*i + 2566*i.
2*i
Collect the terms in -915 - 914 + 1830 - 66*s**2.
-66*s**2 + 1
Collect the terms in -20*y + 28*y + 16*y + 80*y**3.
80*y**3 + 24*y
Collect the terms in 4*y**3 - 10*y**3 + y**3 + 4*y**3 + 14*y**3.
13*y**3
Collect the terms in 15*p**2 + 97 - 552 - 13*p**2.
2*p**2 - 455
Collect the terms in 4699 - 4699 - 11*u**2 + 13*u**2 - 11*u**2.
-9*u**2
Collect the terms in -51*g**2 - 14*g - 5*g + 28*g - 12*g.
-51*g**2 - 3*g
Collect the terms in -75 - 32 + 47 - 117 + 2*f**2.
2*f**2 - 177
Collect the terms in 51772*c**2 - 103551*c**2 + 51777*c**2 + 3*c - 3*c.
-2*c**2
Collect the terms in -47*p**3 - 168*p**3 + 212*p**3.
-3*p**3
Collect the terms in 147 - 812*b - 147.
-812*b
Collect the terms in 1742 - 891 + 95*j - 851.
95*j
Collect the terms in -788*c**2 - 543*c**2 + 102*c**2 + 118*c**2.
-1111*c**2
Collect the terms in 1 + 13*n**2 + 30*n**2 + 33*n**2 + 0 - 25*n**2 + 5*n**2.
56*n**2 + 1
Collect the terms in -64*f**2 + 48*f**2 + 7*f**2 + 42*f**2 + 12*f**2.
45*f**2
Collect the terms in 18 - 29 + 52*s**3 + 2 - 17*s**3 + 13.
35*s**3 + 4
Collect the terms in n - 1973*n**2 + 0*n - 3*n.
-1973*n**2 - 2*n
Collect the terms in 75*z**2 + 401*z**2 + 245*z**2 - 87*z**2.
634*z**2
Collect the terms in 271180 + 13*r**2 - 271180.
13*r**2
Collect the terms in 22*h**3 + 37 + 11*h**3 - 38*h**3 + 11*h**3.
6*h**3 + 37
Collect the terms in -2*q**2 + 0 - 13 + 14 + 8 - 9.
-2*q**2
Collect the terms in -29*n - 118 + 27*n + 41 + 40 + 39.
-2*n + 2
Collect the terms in -31*w**2 + 3*w**2 - 8*w**2 - 21*w**2.
-57*w**2
Collect the terms in 20893*w + 2*w**2 + 14324*w - 3746*w.
2*w**2 + 31471*w
Collect the terms in -837*t**2 + 1652*t**2 - 814*t**2.
t**2
Collect the terms in 33*k + 39*k - 17*k + 19 - 54*k.
k + 19
Collect the terms in 41*q**2 + 1 + 41*q**2 + 40*q**2 - 170*q**2 + 47*q**2.
-q**2 + 1
Collect the terms in -211 + 45*m**3 + 211 - 47*m**3.
-2*m**3
Collect the terms in 275*v**2 - 713*v**2 + 2357*v**2.
1919*v**2
Collect the terms in -10*j**2 - 43*j - 49*j - 19*j**2 - 42*j + 134*j.
-29*j**2
Collect the terms in -531*i**2 - 541*i**2 + 2149*i**2 - 533*i**2 - 534*i**2 - 3.
10*i**2 - 3
Collect the terms in -x**2 + 234178 + 42*x - 234178.
-x**2 + 42*x
Collect the terms in 47497488*o - 47497488*o + 14*o**2 - 12*o**2.
2*o**2
Collect the terms in -4808*z + 2411*z + 2396*z.
-z
Collect the terms in -48*q + 41*q + 18 - 44 + 18.
-7*q - 8
Collect the terms in -267 - 315 + 893 + 13*n - 311.
13*n
Collect the terms in -30*p + 40*p + 12 + 10 - 22.
10*p
Collect the terms in 2*g + 0*g + 41*g + 45*g + 13*g.
101*g
Collect the terms in -2*r**2 - 533*r + 2*r**2 - 3*r**2 + 2*r**2 + 420*r.
-r**2 - 113*r
Collect the terms in 1331*z**2 - 1331*z**2 - 4*z + 4*z**3 - 6*z**3 - 9*z**3.
-11*z**3 - 4*z
Collect the terms in 5*h**2 + 169 + 168 + 178 - 683 + 168.
5*h**2
Collect the terms in 0 - 10 - 7*k + 25 + 5 - 6.
-7*k + 14
Collect the terms in -142*w**3 - 81*w**3 + 93*w**3 - 26*w**3.
-156*w**3
Collect the terms in -45*g + 18*g + 23*g + 235 - 133 - 134.
-4*g - 32
Collect the terms in -2*d + 615 + 3*d + 5*d - 4*d.
2*d + 615
Collect the terms in -102*l**2 + 54*l**2 + 57*l**2 + 9*l**3.
9*l**3 + 9*l**2
Collect the terms in 10*l**2 + l**2 - 5405*l - 5409*l + 10814*l.
11*l**2
Collect the terms in 2 - 13*s + 15*s + 2 + s.
3*s + 4
Collect the terms in 3 + 135*x + 3 - 5 - 240*x + 132*x.
27*x + 1
Collect the terms in -27*a**3 + 116*a**3 - 782*a**3.
-693*a**3
Collect the terms in 96*h**3 - 6*h**3 + 136 - 134 + 4*h**3 + 8*h**3.
102*h**3 + 2
Collect the terms in -48846*n + 5 - 18 + 13.
-48846*n
Collect the terms in -59*h - 76*h - 186*h + 46*h.
-275*h
Co
|
{
"pile_set_name": "DM Mathematics"
}
|
from gxona. Give prob of sequence nagx.
1/120
Two letters picked without replacement from flxofuoi. Give prob of sequence li.
1/56
What is prob of sequence sss when three letters picked without replacement from ssscccssssss?
21/55
Four letters picked without replacement from ffcf. What is prob of sequence cfff?
1/4
Two letters picked without replacement from monhmh. Give prob of sequence hm.
2/15
Calculate prob of sequence xm when two letters picked without replacement from annanmajnxnn.
1/132
Three letters picked without replacement from pfrfwriwfifrrwfwrrui. Give prob of sequence fii.
1/228
Calculate prob of sequence qf when two letters picked without replacement from fflvelqvfqqlqfvv.
1/15
Four letters picked without replacement from {k: 1, u: 5, r: 7}. Give prob of sequence rruk.
7/572
What is prob of sequence yee when three letters picked without replacement from {e: 2, l: 1, k: 2, y: 1}?
1/60
What is prob of sequence ehgj when four letters picked without replacement from {e: 2, y: 2, j: 1, g: 1, h: 1, r: 2}?
1/1512
Two letters picked without replacement from {l: 1, f: 2, i: 2, j: 1, o: 4}. What is prob of sequence jf?
1/45
Four letters picked without replacement from twwtwwwtwt. Give prob of sequence tttt.
1/210
Calculate prob of sequence dn when two letters picked without replacement from {d: 3, a: 1, n: 2, f: 5, z: 6}.
3/136
Calculate prob of sequence bt when two letters picked without replacement from rttbvqtmvvvqvvtmv.
1/68
Calculate prob of sequence wpp when three letters picked without replacement from wwwpppw.
4/35
What is prob of sequence kpz when three letters picked without replacement from kpz?
1/6
Calculate prob of sequence vvm when three letters picked without replacement from {m: 1, c: 1, v: 2}.
1/12
Three letters picked without replacement from {a: 3, l: 3, u: 3, o: 8, q: 1}. What is prob of sequence ooq?
7/612
Two letters picked without replacement from {a: 2, w: 1}. What is prob of sequence aw?
1/3
Calculate prob of sequence ere when three letters picked without replacement from {e: 2, r: 9}.
1/55
What is prob of sequence wkf when three letters picked without replacement from kkwkkwwwkwkwwkkkkkfk?
7/570
What is prob of sequence sjb when three letters picked without replacement from {s: 1, j: 1, b: 2, y: 2, a: 2, r: 1}?
1/252
What is prob of sequence el when two letters picked without replacement from esiiliillglgleelllle?
9/95
Two letters picked without replacement from krmrgvrmrrrm. Give prob of sequence rg.
1/22
Three letters picked without replacement from lxylllxxylysyxy. What is prob of sequence slx?
2/273
Four letters picked without replacement from {e: 6, d: 7}. Give prob of sequence eeed.
7/143
Two letters picked without replacement from mmoooo. What is prob of sequence om?
4/15
What is prob of sequence eme when three letters picked without replacement from {e: 3, m: 3}?
3/20
What is prob of sequence qq when two letters picked without replacement from gqqglqg?
1/7
Four letters picked without replacement from nsasagagajg. What is prob of sequence jssa?
1/990
What is prob of sequence rtd when three letters picked without replacement from ttpdltldttrttrlrl?
7/680
Three letters picked without replacement from {j: 1, u: 1, e: 2, y: 5}. Give prob of sequence uje.
1/252
Three letters picked without replacement from {b: 6, k: 7}. What is prob of sequence kkk?
35/286
What is prob of sequence fi when two letters picked without replacement from ihfjjjn?
1/42
What is prob of sequence mmmy when four letters picked without replacement from mmymmmmqmyqmm?
42/715
Four letters picked without replacement from {e: 1, l: 1, a: 4, k: 2, r: 3, g: 4}. What is prob of sequence rekg?
1/1365
Four letters picked without replacement from wbzwjbjwbnszwbwb. What is prob of sequence bwnw?
5/2184
What is prob of sequence ddnn when four letters picked without replacement from yttdznbtdbytynb?
1/8190
Three letters picked without replacement from {l: 4, n: 2, y: 1, q: 1}. What is prob of sequence nyq?
1/168
Two letters picked without replacement from rpumpxruprxrmkpppppp. Give prob of sequence kx.
1/190
Calculate prob of sequence iy when two letters picked without replacement from iiygngini.
1/18
Four letters picked without replacement from xppnixppipixtnnppn. What is prob of sequence xxnx?
1/3060
What is prob of sequence nkm when three letters picked without replacement from {m: 1, j: 1, k: 1, e: 1, n: 5}?
5/504
What is prob of sequence zbzr when four letters picked without replacement from zzbzooroooob?
1/990
Two letters picked without replacement from iioofqiffjff. What is prob of sequence fq?
5/132
Three letters picked without replacement from trttttrrtttrtttrtrt. Give prob of sequence rtr.
65/969
Two letters picked without replacement from {q: 3, t: 2, h: 1, u: 3, o: 3, f: 3}. Give prob of sequence hu.
1/70
What is prob of sequence jr when two letters picked without replacement from {v: 1, g: 1, q: 1, j: 2, r: 1, y: 1}?
1/21
Calculate prob of sequence yyd when three letters picked without replacement from ydydyy.
1/5
Four letters picked without replacement from kgrggggkrxgrgrg. What is prob of sequence rxkk?
1/4095
Calculate prob of sequence spy when three letters picked without replacement from {d: 2, y: 3, p: 3, s: 9}.
27/1360
Four letters picked without replacement from {c: 1, o: 4, s: 3, x: 4, g: 2, a: 1}. What is prob of sequence ssga?
1/2730
Two letters picked without replacement from khhekuhhikukikiekkeu. What is prob of sequence ui?
9/380
Calculate prob of sequence cadd when four letters picked without replacement from {c: 1, a: 9, f: 8, d: 1}.
0
Calculate prob of sequence eeee when four letters picked without replacement from {e: 4}.
1
Calculate prob of sequence tc when two letters picked without replacement from {t: 1, d: 1, n: 1, c: 1, a: 1}.
1/20
What is prob of sequence xx when two letters picked without replacement from {t: 3, g: 1, x: 2, i: 2, e: 3, m: 1}?
1/66
What is prob of sequence nda when three letters picked without replacement from rrrradrrrrnrr?
1/1716
Calculate prob of sequence ifif when four letters picked without replacement from fifiiii.
1/21
Four letters picked without replacement from {e: 2, p: 7}. What is prob of sequence eppp?
5/36
What is prob of sequence yuy when three letters picked without replacement from syffuyff?
1/168
Two letters picked without replacement from isrsxqrl. Give prob of sequence ql.
1/56
What is prob of sequence mm when two letters picked without replacement from fminniifmi?
1/45
What is prob of sequence xxxb when four letters picked without replacement from {o: 1, m: 2, b: 1, x: 3}?
1/140
Two letters picked without replacement from eotnepyop. What is prob of sequence en?
1/36
Three letters picked without replacement from {c: 2, p: 3, y: 3, s: 10}. Give prob of sequence scc.
5/1224
Three letters picked without replacement from axxaaxxxaaxaaxaxxa. Give prob of sequence xaa.
9/68
Three letters picked without replacement from ibxtitiii. Give prob of sequence iii.
5/42
Two letters picked without replacement from {f: 1, p: 2, w: 3, u: 6, t: 3}. What is prob of sequence pt?
1/35
What is prob of sequence fa when two letters picked without replacement from {f: 1, a: 1, c: 1}?
1/6
Three letters picked without replacement from {s: 1, b: 1, z: 1, d: 1, k: 1, l: 2}. Give prob of sequence kbl.
1/105
What is prob of sequence klz when three letters picked without replacement from {f: 3, z: 6, s: 3, l: 5, y: 1, k: 2}?
1/114
What is prob of sequence gn when two letters picked without replacement from ngnggngngnnn?
35/132
Three letters picked without replacement from {b: 7, j: 1, t: 1}. What is prob of sequence btj?
1/72
Calculate prob of sequence brg when three letters picked without replacement from gtratbtiaibi.
1/660
Two letters picked without replacement from jjjjjjjjjccccjjjjjc. Give prob of sequence jc.
35/171
Three letters picked without replacement from ifvevvf. Give prob of sequence ife.
1/105
What is prob of sequence vzj when three letters picked without replacement from {j: 1, t: 1, v: 5, z: 2}?
5/252
What is prob of sequence nzy when three letters picked without replacement from {l: 2, e: 3, n: 1, z: 1, y: 4, g: 1}?
1/330
Three letters picked without replacement from dxxddxxddxxxxx. What i
|
{
"pile_set_name": "DM Mathematics"
}
|
ked without replacement from {w: 7, e: 1, j: 6}. Give prob of sequence jj.
15/91
Two letters picked without replacement from qkxykxukkxykxkx. Give prob of sequence xk.
1/7
What is prob of sequence nj when two letters picked without replacement from {v: 6, n: 3, j: 2, m: 1}?
1/22
Calculate prob of sequence llee when four letters picked without replacement from {l: 5, e: 2, t: 12}.
5/11628
What is prob of sequence sr when two letters picked without replacement from rssssrssssssrsss?
13/80
Three letters picked without replacement from {m: 9, j: 7, o: 2}. What is prob of sequence oom?
1/272
Three letters picked without replacement from {t: 2, b: 3, q: 3}. What is prob of sequence tqb?
3/56
Three letters picked without replacement from {t: 3, r: 3}. What is prob of sequence ttt?
1/20
Four letters picked without replacement from {y: 6, x: 7}. Give prob of sequence xyyx.
21/286
Three letters picked without replacement from jjecmejqj. What is prob of sequence jec?
1/63
Three letters picked without replacement from {a: 5, y: 8, m: 2, z: 1}. Give prob of sequence azy.
1/84
Calculate prob of sequence qbbb when four letters picked without replacement from bbqbqqqbbqj.
5/132
What is prob of sequence bb when two letters picked without replacement from {b: 3, w: 4}?
1/7
Two letters picked without replacement from ssxshfbhgfhfff. What is prob of sequence fh?
15/182
What is prob of sequence tv when two letters picked without replacement from {m: 3, t: 6, r: 2, v: 4}?
4/35
What is prob of sequence svyx when four letters picked without replacement from {v: 1, y: 1, x: 3, e: 2, s: 1, q: 3}?
1/2640
Four letters picked without replacement from {i: 3, u: 1, t: 2, p: 2, y: 3, b: 9}. Give prob of sequence btyp.
3/3230
Calculate prob of sequence di when two letters picked without replacement from dbidsbdd.
1/14
Three letters picked without replacement from zrzrrazr. What is prob of sequence zza?
1/56
Calculate prob of sequence yy when two letters picked without replacement from {y: 3, p: 2}.
3/10
What is prob of sequence mom when three letters picked without replacement from {m: 2, s: 4, w: 1, d: 6, o: 3, h: 2}?
1/816
What is prob of sequence rnn when three letters picked without replacement from {n: 11, r: 3}?
55/364
Two letters picked without replacement from {g: 2, t: 4, b: 3, u: 2}. Give prob of sequence tt.
6/55
Calculate prob of sequence pum when three letters picked without replacement from kuymurp.
1/105
Calculate prob of sequence hh when two letters picked without replacement from hhqq.
1/6
Calculate prob of sequence tnt when three letters picked without replacement from {n: 2, t: 5}.
4/21
What is prob of sequence laa when three letters picked without replacement from zzaazazl?
1/56
Two letters picked without replacement from {p: 5, a: 1, k: 12}. What is prob of sequence ap?
5/306
What is prob of sequence hw when two letters picked without replacement from {a: 3, w: 2, h: 7}?
7/66
Four letters picked without replacement from qeeeeeemeeejjrmerrjm. What is prob of sequence errq?
1/1938
Calculate prob of sequence vm when two letters picked without replacement from vvam.
1/6
Calculate prob of sequence uuu when three letters picked without replacement from ffufuuffuuffsfsfuff.
20/969
Two letters picked without replacement from tldmemeedlllledd. Give prob of sequence dl.
1/12
What is prob of sequence xwzw when four letters picked without replacement from {j: 4, w: 3, z: 2, x: 2}?
1/330
What is prob of sequence uxz when three letters picked without replacement from {c: 1, n: 1, x: 9, a: 1, u: 1, z: 2}?
3/455
Three letters picked without replacement from {y: 2, f: 1, p: 3, a: 6}. What is prob of sequence ypy?
1/220
Two letters picked without replacement from {t: 2, v: 2}. What is prob of sequence vt?
1/3
Calculate prob of sequence th when two letters picked without replacement from {i: 1, h: 2, t: 5, m: 1}.
5/36
Four letters picked without replacement from gvaavagav. What is prob of sequence gagv?
1/126
Calculate prob of sequence be when two letters picked without replacement from kbkkekkvae.
1/45
Four letters picked without replacement from upazaapza. What is prob of sequence apaz?
1/63
Calculate prob of sequence zyn when three letters picked without replacement from nnzynqqnqzlqlnzqqn.
1/272
Calculate prob of sequence vyvm when four letters picked without replacement from {q: 1, m: 3, y: 1, w: 1, v: 4, d: 2}.
1/330
Four letters picked without replacement from ozooooooooozzoozzzo. What is prob of sequence ozzo?
65/1292
What is prob of sequence kh when two letters picked without replacement from yzzkshhyzhkq?
1/22
Three letters picked without replacement from qqqaqawqa. Give prob of sequence qqq.
5/42
What is prob of sequence bbc when three letters picked without replacement from zcicimimzbibbimqiq?
1/408
Calculate prob of sequence fgj when three letters picked without replacement from jjsjfjjjjsssg.
7/1716
Calculate prob of sequence lf when two letters picked without replacement from zqqfqqfqfl.
1/30
Three letters picked without replacement from {o: 8, e: 1, x: 8}. Give prob of sequence oox.
28/255
Two letters picked without replacement from xxwwxwxnxxwnwx. What is prob of sequence xn?
1/13
Three letters picked without replacement from blkiljbkzbbk. What is prob of sequence jzl?
1/660
What is prob of sequence vm when two letters picked without replacement from vddnnmfdndnjnjnddm?
1/153
What is prob of sequence ij when two letters picked without replacement from ljzirjs?
1/21
Two letters picked without replacement from yykyykyka. What is prob of sequence ya?
5/72
Calculate prob of sequence bbb when three letters picked without replacement from {b: 6, w: 2}.
5/14
Calculate prob of sequence lchq when four letters picked without replacement from lhllcllhccghlglglgq.
1/1292
Calculate prob of sequence bubv when four letters picked without replacement from cdcvducccdbbbb.
1/2002
Two letters picked without replacement from ztbnhntzthhhzhbhbb. What is prob of sequence hn?
2/51
Calculate prob of sequence foy when three letters picked without replacement from qfofwwyowwwhqfooyqoo.
1/190
What is prob of sequence gpg when three letters picked without replacement from spxfpspgssuxgpg?
4/455
Two letters picked without replacement from {r: 5, b: 2, t: 1, a: 1, l: 6}. What is prob of sequence lb?
2/35
Two letters picked without replacement from mmymkkoykg. What is prob of sequence oy?
1/45
What is prob of sequence sk when two letters picked without replacement from {s: 9, k: 10}?
5/19
Four letters picked without replacement from {s: 2, r: 10, h: 5, o: 3}. What is prob of sequence rhoh?
5/969
What is prob of sequence zyg when three letters picked without replacement from lzdyg?
1/60
Calculate prob of sequence xggg when four letters picked without replacement from {g: 3, x: 15}.
1/816
What is prob of sequence jf when two letters picked without replacement from lijyflfv?
1/28
What is prob of sequence lli when three letters picked without replacement from {s: 1, l: 7, y: 1, i: 6, q: 2, u: 2}?
14/323
What is prob of sequence sjj when three letters picked without replacement from {s: 2, t: 8, j: 7, y: 3}?
7/570
Calculate prob of sequence kix when three letters picked without replacement from {z: 3, b: 1, i: 1, k: 2, t: 4, x: 1}.
1/660
Two letters picked without replacement from ttuvs. Give prob of sequence st.
1/10
Two letters picked without replacement from bfkkbefbseufkfkbfuf. What is prob of sequence ek?
4/171
Three letters picked without replacement from {z: 4, f: 16}. Give prob of sequence zfz.
8/285
Three letters picked without replacement from jjzlxljj. What is prob of sequence jzl?
1/42
Three letters picked without replacement from {o: 1, z: 1, i: 1, q: 1, c: 1}. Give prob of sequence zzq.
0
Four letters picked without replacement from {a: 10}. Give prob of sequence aaaa.
1
Calculate prob of sequence ra when two letters picked without replacement from {a: 2, e: 1, r: 1, j: 1, p: 2, f: 2}.
1/36
What is prob of sequence lkm when three letters picked without replacement from {k: 2, l: 3, t: 5, m: 1, c: 5}?
1/560
Three letters picked without replacement from glol. Give prob of sequence log.
1/12
What is prob of sequence ij when two letters picked without replacement from {i: 1, k:
|
{
"pile_set_name": "DM Mathematics"
}
|
= -1 + 1.4. Let k = 37026 - 37029. What is the fourth smallest value in -0.1, 2/3, q, k?
2/3
Let d = -17 + 0. Let w = -17.08 - d. Which is the biggest value? (a) 1/10 (b) w (c) 3
c
Let w = -5.826 + -0.174. What is the third biggest value in w, 0, -4?
w
Let j = -0.24 - 0.06. Let v be (-40)/((-60)/(-6)) - 0. What is the biggest value in -0.01, 1, v, j?
1
Let w = 8.15 + -8. Let i = -198 + 193.85. Let k = i + w. What is the smallest value in 2, k, -1?
k
Let d be -2*((-204)/(-320))/17. What is the second biggest value in d, 5, -3?
d
Let b be (-18)/(-30) - 7/(-5). Suppose b*z = -z - 12. Let x = 26 + -29. What is the biggest value in x, z, -0.5?
-0.5
Let j = -16/19 - -278/285. Let u = 7 - 2. Let t = -13 + 8. What is the second biggest value in j, t, u?
j
Let i = -4125 + 16413/4. Let j = 147/5 - 509/10. Let z = i - j. What is the third biggest value in z, 0.3, -5?
-5
Let b be (1*-1)/(-1 + (-12)/(-10)). What is the third smallest value in 0, 1, b?
1
Suppose -3 = -392*v + 391*v. Which is the biggest value? (a) 2/9 (b) 1/4 (c) -1 (d) v
d
Suppose 3*o - 2 - 4 = 0. Which is the smallest value? (a) 0.3 (b) o (c) 3
a
Let k = 40.942 - 0.142. Let j = -41 + k. What is the second smallest value in 5, 1, j?
1
Let b = -19 + 16. Let l = 0.2 + -5.2. What is the second smallest value in l, -4/5, b?
b
Let s = -117.16 - -117. Let l = s - -0.66. Which is the second smallest value? (a) l (b) 0.1 (c) 1/9
c
Suppose 37 = -5*w - 23. Let q(m) = -m**2 - 10*m + 24. Let y be q(w). Let h = -5 - -4. What is the second biggest value in h, y, 0.5?
y
Let g = -13 + 17. Let t = -9 + 16. Let c = g - t. What is the third biggest value in 2/7, 3/8, c?
c
Let u = 6.88 - 0.28. Let z = u - 10.6. Which is the second biggest value? (a) -4/3 (b) z (c) -2
c
Let q = 236 - 238. Let v be ((-64)/208)/(3 + -1). What is the fourth biggest value in 1/2, q, 2/15, v?
q
Let n = 30.5 - 31. Which is the third smallest value? (a) -2/11 (b) -1/80 (c) 0.2 (d) n
b
Let n = 88/195 + -2/39. Let g = -28 + 28.01. Let w = -4.99 - g. Which is the biggest value? (a) 1/2 (b) n (c) w
a
Let q = 0.135 + -0.035. Let r(x) = x**2 + 14*x + 14. Let u be r(-14). Suppose -3*o + 7 = -c - u, o - 3*c - 7 = 0. What is the biggest value in o, -5, q?
o
Let l = 1814 + -1807. What is the third smallest value in 3, 6, l?
l
Let m(n) = -n**3 + 6*n**2 - 7*n + 7. Let q = -5 - -10. Let g be m(q). What is the third biggest value in 0, g, -5?
-5
Let v = -60 + 57. Let s be (v + -2)*(-12)/75. What is the third biggest value in s, -1, 1/4?
-1
Let s = 24.8 + -24.4. Which is the second biggest value? (a) -53 (b) -1 (c) s
b
Let w be (-646)/204 - 3*-1. What is the second biggest value in 0.5, w, 56?
0.5
Let x = -497 + 497. What is the smallest value in 0.1, x, -17, 4/5?
-17
Let m = -7 - -10. Let r(g) = -g**2 - 7*g + 12. Let l be r(-9). Let o = l - -4. Which is the second smallest value? (a) 0.1 (b) o (c) m
a
Let l = -119 + 119.5. What is the fourth smallest value in -4, l, -6/11, 0.6?
0.6
Let i be (2/(-176))/((-4)/4776). Let o = i - 55/4. What is the second biggest value in o, -0.4, -0.5?
-0.4
Let f = 210.3 - 200. Let o = f + -10.8. What is the smallest value in o, 0.35, -0.3?
o
Let k = 596 - 9527/16. What is the fourth biggest value in 3, 5, -1/3, k?
-1/3
Let p = -222.1 - -214.1. What is the smallest value in 3/2, 0, p, 3/8?
p
Let x = -0.112 + 0.192. Let r = 2.9 - 3. Let n = -287/9 - -32. What is the smallest value in r, n, x?
r
Suppose 0 = -f + 8 - 4. Let k be (-6)/14*f/(-18). Which is the second biggest value? (a) 0 (b) 0.4 (c) k (d) -2
c
Let k(u) = -u**2 + 2*u + 22. Let v be k(6). Which is the biggest value? (a) 2 (b) 18/5 (c) v
b
Let q = -1697.1 + 1697. What is the biggest value in -0.7, q, 0.5, 5?
5
Let f = 2 - -6. Let y(o) = -6*o + 2 - 11*o + 7*o - f*o. Let l be y(1). What is the biggest value in -4, 2/9, l?
2/9
Let g be 15 - (3 - 0/(-3))*-1. Which is the second smallest value? (a) g (b) 3/5 (c) -3/2
b
Let v = -42.3 + 20.3. Which is the smallest value? (a) -5 (b) -0.14 (c) v
c
Let h = -73.237 + -3.703. Let m = 77 + h. Suppose 2*d + 1 = 3*k - 11, 4*d + 20 = 4*k. Which is the third smallest value? (a) m (b) -0.3 (c) d
a
Suppose 0*p + 441 = 9*p. What is the biggest value in 1, p, -1?
p
Suppose 2*o + 7*o - 27 = 0. Let i be 0 + (-3)/(-12)*o. Which is the third biggest value? (a) -0.4 (b) i (c) 0.7
a
Let q = -0.04 - 0.46. Let j = -327.2 - -327. Which is the third biggest value? (a) 5 (b) q (c) j
b
Let f(q) = -q**3 + 14*q**2 + 4*q - 35. Let m be f(14). Let k = -61/3 + m. Which is the second biggest value? (a) -0.9 (b) 0.3 (c) k
b
Let k be (2/(-30))/((-104)/(-520)). What is the biggest value in -5, 1/8, 14/5, k?
14/5
Let u = 48.5 + -48.2. Which is the second biggest value? (a) 14 (b) -2 (c) 3 (d) u
c
Let n = -6 - -5. Which is the second smallest value? (a) -71 (b) -2/17 (c) n
c
Let n = -0.6 - -0.64. Let i = -909.6 - -909. What is the third biggest value in n, -2/11, i, 0.3?
-2/11
Let q = 10 + 0. Let l = 0.216 - -4.784. Which is the biggest value? (a) q (b) l (c) -0.1
a
Let f = 263.69 + -245. Let c = f - -0.91. Let x = c - 20. What is the second biggest value in 2, -3, x?
x
Let l = -12 + 8. Let u = -12.6 + 0.6. Let j = -12.4 - u. Which is the second biggest value? (a) j (b) -3 (c) l
b
Let s = 0.0049 + 1.9951. What is the third smallest value in s, -1/29, -2?
s
Let u be (-42)/4*3*(-12)/27. Which is the third smallest value? (a) 0.5 (b) 0 (c) u
c
Suppose 5*y + 3 = -v, -4*y - 16 = 4*v - 4. Let a be (-4177)/(-21) - (-4)/(-12). Let f = a - 199. What is the third biggest value in v, -4, f?
-4
Let v = -12 + 11.9. Let y(z) = z**2 + 6*z + 6. Let x be y(-3). What is the smallest value in x, -2, 2/17, v?
x
Suppose 39*f - 42*f = 3. What is the third smallest value in -0.168, -0.4, f, 1?
-0.168
Let t = 9 + -2. Let q be ((-6)/(-54))/(4/6). Which is the third biggest value? (a) t (b) 0.3 (c) q
c
Let w be 16/(-3) - 1/(-3). Let s = 0.061 - 14.361. Let l = -14 - s. Which is the second smallest value? (a) w (b) 0.1 (c) l
b
Let t = 41 - 39. Let j = -22.051 - -0.051. Let f = j - -22.1. Which is the biggest value? (a) -0.3 (b) f (c) t
c
Let x = 7.012 - 0.012. Which is the fourth smallest value? (a) 0.2 (b) -11 (c) -0.3 (d) x
d
Let s be (-234)/65 - (6/(-15))/(-1). Which is the fourth smallest value? (a) 31 (b) 1/3 (c) s (d) 0.5
a
Let h = -217 - -216.8. Which is the third smallest value? (a) h (b) 0.3 (c) 5
c
Let v(h) = h**3 + 2*h**2 - 3*h - 2. Let u be (-11 + -1)/4 - 0. Let o be v(u). Which is the second smallest value? (a) -7 (b) o (c) -5
c
Let j = 22 - -1. Let d = -21 + j. Let z = -0.1 - 2.9. What is the smallest value in 1, d, z?
z
Let u = 2.0815 - 0.0815. Let o = 2/35 + -76/105. What is the smallest value in -5, u, o, -3?
-5
Let o = -34.5 + 34. What is the second smallest value in o, -0.4, 0.5, -3?
o
Let y = -68.842 + -0.158. Let v = y + 70. What is the second biggest value in v, 0.4, -2?
0.4
Let z = 18.47 - 20. Let u = z - -1.13. Which is the third smallest value? (a) 5 (b) -31 (c) u
a
Let n = -0.228 - -0.139. Let p = -0.289 - n. What is the second smallest value in 0.2, 0.4, -0.1, p?
-0.1
Suppose -7*r + 3*r - 356 = 0. Let l = 981/11 + r. Which is the third smallest value? (a) l (b) -2/3 (c) 4 (d) 2/19
a
Let g be (-6)/(-5)*40/12. Let h be ((-5)/g - -2)*32/252. Which is the fourth smallest value? (a) 1 (b) h (c) 4 (d) -2
c
Let v = -0.13 + 5.13. Let n = 821 + -818. Which is the second biggest value? (a) 2/7 (b) v (c) -0.1 (d) n
d
Let b(d) = d - 8. Let n be b(6). Let m be n/16*2*-1. Let v = -44 - -45. What is the smallest value in 2, v, m?
m
Let v = 5.978 - 0.978. Let q = 19 - 13. Which is the third biggest value? (a) v (b) q (c) 0 (d) -3
c
Let l = 19.2 - 48.6. Let v = -29 - l. Let s = 5 + 0. Which is the biggest value? (a) s (b) 2 (c) v
a
Let g(a) = -8*a**3 - a**2 - a - 2. Let o be g(-2). Let i be ((-1)/(-2))/((-15)/o). What is the biggest value in -5, -1/9, i?
-1/9
Suppose 2*s + 2*s + d + 166 = 0, -d = -2. Let h = s - -209/5. What is the smallest value in 0, h, -0.5?
-0.5
Let q = -30 + 74. Suppose f = -q + 40. Which is the third biggest value? (a) 3 (b) f (c) 1/8
b
Let u = -72 + 362/5. Let d = -8 + 6. Let t = -0.4 + 1.1. Which is the second biggest valu
|
{
"pile_set_name": "DM Mathematics"
}
|
t from uueueuueuue?
7/110
Two letters picked without replacement from {s: 3, u: 1, h: 2, n: 6, i: 2}. Give prob of sequence nu.
3/91
Calculate prob of sequence bpph when four letters picked without replacement from {h: 2, s: 1, b: 1, p: 4}.
1/70
Four letters picked without replacement from {p: 3, k: 2, i: 2, m: 1, t: 9}. What is prob of sequence ippt?
9/4760
Four letters picked without replacement from zzzzlzptlhzzpzczlp. What is prob of sequence ztlh?
1/2720
What is prob of sequence ttro when four letters picked without replacement from {u: 1, o: 2, t: 3, w: 1, r: 3}?
1/140
Four letters picked without replacement from knuk. Give prob of sequence kuku.
0
Calculate prob of sequence oxu when three letters picked without replacement from xpxoppuoppox.
3/440
What is prob of sequence ddij when four letters picked without replacement from {i: 6, s: 1, j: 4, d: 5}?
1/91
Calculate prob of sequence fwww when four letters picked without replacement from {p: 1, u: 6, f: 3, w: 5}.
1/182
What is prob of sequence hj when two letters picked without replacement from {h: 4, f: 2, j: 2}?
1/7
What is prob of sequence ggg when three letters picked without replacement from {g: 6}?
1
Two letters picked without replacement from bbbblkblbmllmlbm. Give prob of sequence bb.
7/40
Two letters picked without replacement from {w: 11, n: 1}. What is prob of sequence wn?
1/12
What is prob of sequence fl when two letters picked without replacement from ldlfdp?
1/15
Two letters picked without replacement from {z: 2, j: 6, t: 2, h: 2}. What is prob of sequence th?
1/33
Calculate prob of sequence yyyy when four letters picked without replacement from {y: 10}.
1
What is prob of sequence liri when four letters picked without replacement from rrrlllilrlrrirri?
1/182
Two letters picked without replacement from {n: 1, e: 1, p: 2, m: 1}. Give prob of sequence pm.
1/10
Four letters picked without replacement from grwrrwwycmgmrwr. What is prob of sequence cwmg?
2/4095
Four letters picked without replacement from {j: 3, z: 6, t: 5, d: 2, m: 2}. Give prob of sequence tzjz.
5/816
Calculate prob of sequence uyy when three letters picked without replacement from {u: 8, y: 6, i: 1}.
8/91
Four letters picked without replacement from ddnstvvsvdtddtdt. Give prob of sequence tvdn.
3/1820
What is prob of sequence fff when three letters picked without replacement from ffffffffff?
1
Three letters picked without replacement from iikwixieki. What is prob of sequence xwi?
1/144
Two letters picked without replacement from {u: 2, x: 2}. What is prob of sequence uu?
1/6
What is prob of sequence kxss when four letters picked without replacement from {s: 6, f: 1, n: 1, x: 1, i: 1, k: 1}?
1/264
Two letters picked without replacement from kkkkkkkkkkkkkkkkkka. Give prob of sequence ak.
1/19
What is prob of sequence pz when two letters picked without replacement from zczzzzpzccccppzz?
1/10
Calculate prob of sequence wq when two letters picked without replacement from {a: 1, c: 2, q: 2, w: 1, j: 1}.
1/21
Four letters picked without replacement from {d: 8, n: 2}. Give prob of sequence dddn.
2/15
Four letters picked without replacement from {p: 3, s: 5, w: 2}. Give prob of sequence psws.
1/42
Two letters picked without replacement from gaglaig. Give prob of sequence ai.
1/21
What is prob of sequence cb when two letters picked without replacement from {b: 6, c: 3, k: 8}?
9/136
Two letters picked without replacement from aacaoqqqaqaza. What is prob of sequence az?
1/26
Four letters picked without replacement from {j: 4, e: 4, v: 1, c: 2, b: 2, m: 2}. Give prob of sequence jcej.
4/1365
Three letters picked without replacement from cccccccw. Give prob of sequence cwc.
1/8
Two letters picked without replacement from {v: 3, f: 1, h: 3, s: 1, w: 1, p: 2}. Give prob of sequence hh.
3/55
Calculate prob of sequence fq when two letters picked without replacement from {f: 4, w: 1, q: 2, i: 2, a: 1}.
4/45
Two letters picked without replacement from {w: 12, f: 1}. What is prob of sequence wf?
1/13
Two letters picked without replacement from {q: 2, u: 3, k: 13, w: 2}. Give prob of sequence qu.
3/190
Four letters picked without replacement from {l: 4, b: 2, p: 1}. Give prob of sequence lplb.
1/35
Two letters picked without replacement from cqqzqmqqqqzc. Give prob of sequence cm.
1/66
Two letters picked without replacement from {v: 1, i: 4, k: 8}. Give prob of sequence ii.
1/13
Calculate prob of sequence zg when two letters picked without replacement from {g: 13, z: 3}.
13/80
Four letters picked without replacement from vcrfkiki. Give prob of sequence iick.
1/420
Two letters picked without replacement from smlqsllsmi. What is prob of sequence mm?
1/45
Two letters picked without replacement from nytrydt. What is prob of sequence yt?
2/21
Calculate prob of sequence efs when three letters picked without replacement from besbbfeeeebsefbbee.
1/153
Calculate prob of sequence kps when three letters picked without replacement from sueeepueeccekuc.
1/2730
Calculate prob of sequence xww when three letters picked without replacement from {w: 3, l: 4, x: 13}.
13/1140
Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhh.
1
Calculate prob of sequence zln when three letters picked without replacement from {j: 4, n: 1, w: 3, z: 1, l: 2}.
1/495
What is prob of sequence jnnn when four letters picked without replacement from {j: 9, n: 10}?
45/646
Two letters picked without replacement from hhgjywypwhwwygg. What is prob of sequence pp?
0
Two letters picked without replacement from {k: 5, x: 1, a: 2, b: 6, f: 3}. What is prob of sequence fx?
3/272
Calculate prob of sequence qq when two letters picked without replacement from {q: 2, t: 2, l: 2}.
1/15
Three letters picked without replacement from {o: 2, q: 2, b: 1, p: 1}. Give prob of sequence qbq.
1/60
Four letters picked without replacement from gvdgvgdgv. What is prob of sequence dvgg?
1/42
Calculate prob of sequence ete when three letters picked without replacement from {i: 1, t: 3, e: 4}.
3/28
Two letters picked without replacement from {a: 3, v: 3, b: 6, u: 1}. Give prob of sequence av.
3/52
What is prob of sequence zxq when three letters picked without replacement from zqxxzxzzxx?
1/36
What is prob of sequence bhhh when four letters picked without replacement from {h: 3, b: 13}?
1/560
Calculate prob of sequence mb when two letters picked without replacement from bmtb.
1/6
Four letters picked without replacement from ssyyqymmywqsysys. What is prob of sequence wyqq?
1/3640
Three letters picked without replacement from npnnknpnmnppmn. Give prob of sequence kmn.
1/156
Two letters picked without replacement from {o: 1, w: 2, n: 1, f: 1, j: 4}. Give prob of sequence wj.
1/9
Two letters picked without replacement from {k: 1, b: 1, c: 1}. What is prob of sequence cb?
1/6
Three letters picked without replacement from {i: 1, c: 1, e: 1, r: 1, u: 1}. What is prob of sequence ecu?
1/60
Calculate prob of sequence obj when three letters picked without replacement from bhrrjrzzzrjohjohjhhj.
1/684
Three letters picked without replacement from {l: 2, j: 1, z: 1, u: 1, a: 1, n: 1}. What is prob of sequence uan?
1/210
Two letters picked without replacement from {a: 2, c: 2}. Give prob of sequence cc.
1/6
Four letters picked without replacement from uuuhuffhhu. Give prob of sequence hffu.
1/168
Calculate prob of sequence wwww when four letters picked without replacement from {w: 10}.
1
Calculate prob of sequence thaa when four letters picked without replacement from {k: 7, t: 4, l: 1, h: 4, a: 1}.
0
Calculate prob of sequence bok when three letters picked without replacement from {o: 1, k: 2, b: 2, v: 1, l: 1}.
2/105
Two letters picked without replacement from {b: 10, q: 9, z: 1}. What is prob of sequence qz?
9/380
Two letters picked without replacement from {l: 12, m: 1}. Give prob of sequence lm.
1/13
What is prob of sequence ttto when four letters picked without replacement from {o: 9, t: 5}?
45/2002
Calculate prob of sequence ggq when three letters picked without replacement from qqgg.
1/6
What is prob of sequence dl when two letters picked without replacement from {b: 2, y: 3, l: 2, d: 6, r: 3}?
1/20
What is prob of sequence qs when two letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
i a multiple of 18?
True
Let t(r) = -9*r**3 - 8*r**2 + 19*r - 21. Let u(m) = -2*m**3 + 2*m**2 - m - 1. Let y(l) = t(l) - 5*u(l). Is 32 a factor of y(18)?
True
Suppose -9*t + 67 + 59 = 0. Let z(d) = 17*d - 73. Does 33 divide z(t)?
True
Suppose -2*a + 15373 = -i + 1345, 35070 = 5*a + 6*i. Is 14 a factor of a?
True
Let d = 218231 + -119775. Suppose -11831 = 55*m - d. Is 35 a factor of m?
True
Does 4 divide (-397 - -29)/(2/(-8))?
True
Suppose -19*y + 700 = 6*y. Suppose y*k - 715 = 7685. Is 20 a factor of k?
True
Is 9 a factor of ((-117)/(-12))/(27 + 780164/(-28896))?
True
Suppose -5*v + 1614 = h + h, 2*h = -3*v + 966. Suppose -4*a + 51 = -4*o + 387, 2*a - v = -4*o. Is 10 a factor of o?
False
Let q(l) = l**2 + 8*l - 3. Let j be q(-7). Let p(k) = k**2 + 9*k + 62. Is p(j) a multiple of 7?
False
Let v = 8755 + -7315. Is 60 a factor of v?
True
Let y(k) = -158*k + 4461. Is 27 a factor of y(0)?
False
Is (45/(-18))/((-20)/48592) a multiple of 7?
False
Let f = -154 + 160. Suppose -n + 53 - f = 0. Is 9 a factor of n?
False
Let r(q) = -q**2 + 7*q. Let p be r(6). Suppose p = -3*m - 0*m. Is (336/64)/(m/(-8)) a multiple of 21?
True
Let x = -477 + 877. Suppose 3*m = 7*m - x. Suppose 18*o = 13*o + m. Does 3 divide o?
False
Suppose 3*i = 3*m, 5*i + 5*m - 24 = 4*m. Suppose -i*z + 0*z = 0. Suppose 5*b = -s + 44 - 9, -5*s - 4*b + 238 = z. Does 10 divide s?
True
Let z(q) = -3*q**2 - 10*q - 6. Let y(b) = -12*b**2 - 14 - 21*b + 1 + 5*b**2. Let p(j) = -4*y(j) + 9*z(j). Is 5 a factor of p(9)?
True
Let g = -52 - -57. Suppose g*n - 602 = q, -2*n - 2*q + 178 + 58 = 0. Suppose 3*o - n = -5*d + 2*d, -3*o - 4*d + 115 = 0. Is o a multiple of 9?
True
Let v = -35500 - -50065. Is v a multiple of 207?
False
Let w = 28853 + 40769. Is w a multiple of 14?
True
Suppose -5*d + a = -107, -2*d = d + 2*a - 59. Does 5 divide (11*d)/(117/156)?
False
Suppose -4*u = k - 208, 2*k + 167 = 4*u - u. Suppose -121 - u = -6*a. Is a a multiple of 7?
False
Let b(j) = -2*j**2 - 4*j + 16. Suppose -2*d + 3 = v, -2*v + 3*d = -5*v - 3. Let h be b(v). Does 15 divide (h + 9)/(2/(-10))?
False
Is 685*(-2 - 8)/(-2) a multiple of 23?
False
Let b = -4092 + 7667. Is b a multiple of 6?
False
Let w = -14939 - -15461. Is w a multiple of 7?
False
Suppose -2*y = 82 + 106. Let c = y + 97. Is 21 a factor of (21/9 - 2)*c - -303?
False
Let m be 1*((-2)/(-6 - -4))/(-1). Is 676 + -3 - (0 - m) a multiple of 16?
True
Suppose -a - 4*l - 14 = 0, 5*a + l = -17 - 15. Let o be (-2036)/(-12) - 2/a. Suppose -3*u + o = 50. Is 6 a factor of u?
False
Let o = 164 + 227. Suppose 2*m - 441 = o. Is 3 a factor of m?
False
Suppose 68 = 4*b + 4. Let n(i) = -i**3 + 15*i**2 + 23*i + 4. Let a be n(b). Let s = 168 - a. Is 9 a factor of s?
False
Let a = 427 - 416. Is 2 a factor of ((-42)/(-2))/(18*a/330)?
False
Suppose 4*j = -10*z + 13*z - 2261, 3*j + 3*z = -1680. Let n = 1551 + j. Is n a multiple of 52?
True
Suppose 30 = 5*c + t, 3*t + 12 = 2*c - 0*c. Suppose x - n = 367, 0 = -6*x + 9*x - n - 1099. Suppose 0*d + x = c*d. Is d a multiple of 7?
False
Let j(f) = 47*f**2 - 65*f + 477. Is 21 a factor of j(8)?
False
Suppose -30*y + 10 = -32*y, -5*h + 2*y = -7420. Does 247 divide h?
True
Let r be (-2 - 1/(-2))/(3/(-28)). Let m = r + 36. Is 25 a factor of m?
True
Let h(c) = 27149*c**2 - 47*c - 12. Is 16 a factor of h(-1)?
True
Let q = -219 - -73. Let i = q + 289. Is 13 a factor of i?
True
Let c be (88/(-77))/(10/(-35)). Suppose -z + 139 = 5*h - 117, c*z = 3*h + 909. Is 16 a factor of z?
False
Let z be (32/4 - 14) + 8. Suppose -z*n - s = 3*n - 1845, s + 1115 = 3*n. Is n a multiple of 10?
True
Suppose -2087*i = -2075*i - 171864. Is 42 a factor of i?
True
Let n(p) = 4681*p - 3789. Is n(9) a multiple of 8?
False
Let g(u) be the third derivative of 3*u**5/20 + u**4/3 + 11*u**3/6 + 15*u**2 - 6. Is 2 a factor of g(-2)?
False
Let f(v) = -147*v - 99. Let i(d) = 73*d + 48. Let k(h) = -4*f(h) - 9*i(h). Does 43 divide k(-8)?
True
Let v(l) = 15*l**2 - 5*l + 20. Suppose 3*f + 17 = 29. Does 12 divide v(f)?
True
Suppose 8*q - 461754 - 126910 = 0. Is q a multiple of 38?
False
Suppose 347763 = 38*z + 194424 - 220049. Does 9 divide z?
False
Suppose 0 = -2*w + 11*w - 306. Suppose -w = -c + 4*s + 38, 0 = -2*c - 5*s + 131. Is c a multiple of 3?
False
Let c(f) = -f + 1. Suppose -2*i - 5 = -3*t - 7, -7 = 3*t - i. Let p be c(t). Suppose p*u + 4*z - 382 = 8*z, 5*u = 5*z + 380. Does 15 divide u?
False
Suppose -w + 3*w - a = 14, a + 4 = 0. Suppose -5*b - 4*g = g - 110, 0 = w*b + g - 110. Let y = 17 + b. Does 7 divide y?
False
Suppose 2*v - 29159 = -3*s, 5*v + 24*s = 27*s + 72887. Is v a multiple of 115?
False
Let v(x) = x**2 - 21*x + 35. Let i be v(18). Is i/(-2)*(-420)/(-14) a multiple of 7?
False
Suppose 8*c - 40 = 120. Is 4 a factor of c?
True
Let t be (-30645)/(-54) + 5/(-2). Let i = -141 + t. Suppose 11*y - 3174 = -i. Is 15 a factor of y?
False
Let k be (1 - (1 + 2))/(1/4). Let t = k - -13. Does 3 divide (-129)/(-30)*4 + 4/t?
True
Suppose 0 = 1129*n - 1374*n + 528710. Is 6 a factor of n?
False
Suppose -u + 118 = 4*s + 19, 4*s = -4*u + 372. Suppose 56 = u*i - 89*i. Does 14 divide i?
True
Let v(c) = -13*c + 115. Let k be v(-37). Let y = -349 + k. Is y a multiple of 19?
True
Let z be ((-186)/(-15))/(11/110). Let k = z + -62. Is k a multiple of 4?
False
Let f be (-8 + 5)/(6/(-8)). Let a be (-4 + 3)*f - 6. Is (-488)/(-40) + 2/a a multiple of 4?
True
Suppose -5*q - x + 58 = 0, 2*q + 0*x = 3*x + 13. Let k(n) = q*n**2 + 15*n - 5 - 9*n + 0*n. Does 24 divide k(-5)?
True
Suppose -1590255 = -50*k + 354545. Is 15 a factor of k?
False
Suppose -63*g = -71*g + 24. Suppose 366 + 144 = g*x. Is 24 a factor of x?
False
Suppose -i - 5*i - 36 = 0. Let n(v) be the second derivative of v**5/20 + 7*v**4/12 - 7*v**3/6 - 17*v**2/2 + 10*v. Is 38 a factor of n(i)?
False
Let x = -222 + 649. Suppose -10*g = 5*d - 8*g - 995, 2*d - x = 5*g. Is 17 a factor of d?
False
Suppose 0*x + 874 = 2*x. Let v = x - -43. Suppose 4*b - v = -b. Does 16 divide b?
True
Let f(k) = 7*k**2 + 36*k - 63. Let y(p) = -3*p**2 - 19*p + 31. Let t(n) = -2*f(n) - 5*y(n). Is 9 a factor of t(-26)?
False
Let l(o) = -5*o - 8. Let x be l(0). Let c be (-3 - (3 + -9))/((-6)/x). Suppose a = c*a - 438. Does 28 divide a?
False
Suppose 2*i - 3*k + 37 = 0, -11*k = 5*i - 9*k + 45. Let h(o) = -16*o - 2. Let m be h(-3). Let p = m + i. Does 5 divide p?
True
Let w be (-34)/(-9) - (-12)/54. Suppose -w*a + 2 + 10 = 0. Suppose y + 2*d - 157 = 0, 0 = -a*y + 5*d - 206 + 710. Is y a multiple of 40?
False
Suppose -176*x + 177*x = 16. Suppose -x*f + 877 = -1107. Does 5 divide f?
False
Let g(j) = j**3 - 30*j**2 + 57*j - 16. Let o be g(28). Suppose -11*m + o*m + 1800 = 3*d, -2*d + m + 1201 = 0. Does 12 divide d?
False
Let h = 134 + -158. Let w = 231 - h. Is 17 a factor of w?
True
Let a(i) = -i**3 - 15*i**2 - 38*i - 17. Let x be a(-12). Suppose 5*d - 583 = -b, -4*d = -x*b + 10*b - 1738. Does 39 divide b?
False
Let l be 1 + (-54)/(-3) + 3. Suppose l*p + 2580 = 26*p. Does 18 divide p?
False
Let a(x) be the third derivative of 8*x**4/3 - 61*x**3/6 + 3*x**2 + 9*x. Is a(12) a multiple of 43?
False
Suppose 3*o = -2*s + 3084, -5*o = -44*s + 41*s + 4664. Does 36 divide s?
True
Suppose 0 = -36*t + 935 + 181. Is 5 a factor of t?
False
Suppose -5*p - 44 = 436. Let o = p + 113. Is o a multiple of 3?
False
Let x(y) = -16*y + 14. Let s be x(-4). Suppose s*f - 73*f - 165 = 0. Is f a multiple of 2?
False
Suppose 0*r + 3*t = r - 70, -5*r = -2*t - 363. Let h = 179 - r. Does 6 divide h?
False
Let w = 94163 - 131943. Is 54 a factor of (-4)/(-14) - w/70?
True
Suppose 3*r + 2*f - 3*f = -33, 0 = -2*r - 2*f - 22. Let a(l) = 2*l**2 + 19 - l**3 - 3 + l - 10 - 11*l**2. Does 31 divide a(r)?
False
Let a(n) = n**3 + 5*n**2 - 3*n + 9. Let k be a(4). Suppose 3 + k = 4*b. Suppose -b = -52*y + 48*y. Does 7 divide y?
False
Is 9 a factor of (-2)/32 + (-4335882)/(-1184)?
False
Let k = 3988 - 2519. Suppose 5*s + 4*a = 1357, -3*a - 115 + k = 5*s. Does 16 divide s?
False
Suppose 1705 = 4*p + 217. Suppose 0 = -13*x + 16*x - p. Is 9 a factor of x?
False
Suppose -21*z - 7484 = -27770. Does 7 divide z?
True
Suppose 68 = -3*p - 4*t, 0 = -5*p + p - t - 95. Let j(c) = -532*c + 838. Let w be j(5). Is 17 a factor of w/(-18) + p/108?
False
Let j = 4027 - -3526. Does 23 divide j?
False
Let n(d) = 7*d + 41. Let f
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 25. Suppose -11 - 10 = 3*i. Let w(k) = i*o(k) - 5*l(k). What is w(s)?
-3
Let i(u) be the third derivative of u**6/120 - u**5/10 + u**4/3 - 5*u**3/6 + 5*u**2. Determine i(5).
10
Let p(j) be the first derivative of 0*j - 2/3*j**3 + 3/2*j**2 - 1/24*j**4 + 3. Let y(o) be the second derivative of p(o). Determine y(3).
-7
Let h(g) = -g - 7. Let o be h(0). Let f(t) = -t**3 - 7*t**2 - 2*t - 10. Calculate f(o).
4
Let i(p) = -2*p + 2. Suppose 0 = 5*t - 4 + 14. Give i(t).
6
Let a be ((-6)/9)/(3/(-54)). Suppose 0 = -3*x + a - 0. Let g(k) = k**3 + 3*k + x*k**2 - 6 - k - 1 + 4. Calculate g(-3).
0
Let o(j) = -2*j**2 - 6*j + 3. Let b(z) = -3*z**2 - 6*z + 4. Let f(g) = 4*b(g) - 5*o(g). Calculate f(5).
-19
Let z(b) = -b**3 + 2*b - 1. Let s be 8/(-4) - -4*1. Give z(s).
-5
Suppose -3 - 13 = -4*z. Let s(r) be the third derivative of -r**2 + 0*r + 0 + 0*r**5 + 1/6*r**3 - 1/24*r**z - 1/120*r**6. Determine s(2).
-9
Suppose -2*l - 5 + 13 = 0. Suppose 6*w = l*w + 8. Let n(r) = 0 + 3 + w*r + 3*r. What is n(-2)?
-11
Let y(f) be the second derivative of f**5/20 - f**3/6 + f**2/2 - 17*f. Let v = -3 + 1. Determine y(v).
-5
Let s be 206/14 + (-4)/(-14). Let z be s/(-3) + (2 - 0). Let v be z*(1 + (0 - 0)). Let p(x) = -x + 1. Determine p(v).
4
Let w(y) be the second derivative of -y**6/20 + y**5/60 - y**3/6 - 5*y**2/2 + y. Let t(m) be the first derivative of w(m). Calculate t(-1).
6
Let g = -4 + 4. Suppose -2*k - 3*k = 5*u + 30, -3*u - 12 = g. Let w(m) = 3*m + 3. Give w(k).
-3
Let r(x) = x**2 + 11*x - 3. Let k(q) = q**2 + 10*q - 2. Let y(f) = 7*k(f) - 6*r(f). Determine y(-5).
9
Let i(p) = p**2 - 10*p + 7. Suppose 5*z - 32 + 1 = -4*o, -z + 26 = 3*o. Give i(o).
-2
Suppose 2*g - 4 = 2. Let q(a) = -g + 14 - 3*a + 8*a - 1 + a**3 - 8*a**2. Determine q(7).
-4
Let a(f) = -2*f**2 + 8*f + 5. Suppose 2*x = 3*d - 7, -3*x - d = -4*x - 2. Let p(c) = c**2 - c. Let q(g) = x*a(g) + 3*p(g). Calculate q(-4).
1
Let f(g) = 5*g**2 + 4*g**2 + g**2 - 3*g - 2*g**3 + 10 - 2*g**2. Let y(b) = 5*b**3 - 23*b**2 + 9*b - 29. Let s(u) = 8*f(u) + 3*y(u). What is s(-6)?
11
Let l(z) = -z**3 + 5*z**2 - 3*z + 7. Suppose 3*n - 5*u - 29 = -u, 0 = 4*n - u - 17. Suppose n*y - x = -1 + 14, -4*y - 4*x = -28. Calculate l(y).
-8
Let c(i) be the first derivative of i**2/2 + 2*i - 4. Let f be c(-4). Let v be (1 + f)*(-18)/(-3). Let h(u) = u**2 + 6*u + 2. Give h(v).
2
Let o be 1*(-4)/2*-7. Suppose -3*c - o = -2*p, c + 2 = 3*p - 5*p. Let i(z) = -z**2 - 3*z + 2. Calculate i(c).
-2
Let h be ((-3)/5)/(1/(-10)). Let s be ((-4)/(-5))/(h/15). Let u(l) = -3*l**2 + l + 2. Calculate u(s).
-8
Let z(k) = 3872 + 0*k - 5*k - 3873. What is z(-2)?
9
Let h(n) = -18*n + 4*n + 9*n - 11*n. What is h(-1)?
16
Let r(q) be the second derivative of 4*q + 1/20*q**5 - 1/6*q**4 + 0*q**3 + 1/2*q**2 + 0. Determine r(2).
1
Let s(d) be the first derivative of -2*d**3/3 + d**2 + d + 25. Calculate s(-1).
-3
Suppose 6*u = -25 + 7. Let d(y) = 0 + 0 - y + y**3 + 3*y**2. What is d(u)?
3
Let x(a) be the second derivative of -1/12*a**4 + 0*a**5 + 1/120*a**6 - a**2 + 1/6*a**3 + 0 - 2*a. Let h(i) be the first derivative of x(i). What is h(1)?
0
Suppose 3*m = -0*m + 3. Let b(x) = 1 + 3 + 1 - m - x. Calculate b(3).
1
Let t(k) be the second derivative of -k**3/6 + k**2/2 - 5*k. What is t(6)?
-5
Let b(o) be the second derivative of o**4/3 + o**3/6 - o**2 + 5*o. Give b(-2).
12
Let y(q) = q**3 + 4*q**2 + 4. Let k be y(-4). Let s(a) = -a + 2 - 3 + 3*a. Determine s(k).
7
Let t = -7 + 5. Let o(d) = d**2 - d. Let k(u) = u**2 + 4*u + 5. Let v(a) = t*o(a) + k(a). Calculate v(5).
10
Let c(t) = -t - 2*t - 7 + 5*t. Let j be c(6). Let x(p) be the second derivative of p**5/20 - p**4/3 - 5*p**3/6 + p**2/2 + 2*p. What is x(j)?
1
Let v(f) be the first derivative of -f**3 + f**2/2 - 1. Let t(s) be the second derivative of v(s). Let u(h) = h + 6. Let j(w) = 2*t(w) + 3*u(w). Give j(-4).
-6
Let q(a) = -4 + 90*a**2 + a**3 + 3*a + 0*a - 93*a**2. Calculate q(3).
5
Let h(f) = 2*f - 3. Let p(x) = -x + 2. Let g be p(2). Suppose g = 4*l + j + j - 10, -4*j + 8 = 2*l. Give h(l).
1
Suppose -5*f = -4*y - 22, -3*f + 20 = 3*y - 2*y. Let w(j) = 2*j + 1 + f - j. Let b = 7 - 12. Give w(b).
2
Let u = -10 - -5. Let f(n) = 2 + 5*n - 2*n**2 + 4 - 4 + 3*n**2. Calculate f(u).
2
Let g(t) be the second derivative of 1/3*t**4 + 0 - 1/20*t**5 + t**3 + 4*t + 3*t**2. Give g(5).
11
Suppose 4*r = 3*s - s + 8, 19 = 5*s + 3*r. Let k(m) = -m - 3*m**3 - 2*m - m**s + 2*m + 8*m**3. Calculate k(-1).
-5
Suppose -4*w + j = 3*j - 12, -41 = -5*w + 4*j. Suppose w*p + 26 = 1. Let g(o) = -o - 5. Let b be g(p). Let x(m) = m - 8. Determine x(b).
-8
Let b(n) be the first derivative of -6*n - 4/3*n**3 + 2 - 3/2*n**2 - 1/4*n**4. Calculate b(-4).
6
Suppose -5*a - 16 = -4*q - 0*q, 0 = 2*q - 5*a - 8. Let u(l) = l + 2*l - q*l. Give u(-3).
3
Let s(u) = 15*u + 8. Let w(q) = 7*q + 4. Let n(a) = 4*s(a) - 9*w(a). Suppose 0 = 5*t + 4*m + 35, 4*m + 8 = -2*t + 6*t. Determine n(t).
5
Let r(b) = -b**3 + 2*b**2 + b + 4. Suppose 10*y - 9*y - 3 = 0. Calculate r(y).
-2
Let y = 4 - 7. Let b = y - -5. Suppose 4*d + 8 = b*z, d = -d + 2*z. Let n(x) = -x**2 - 3*x + 4. What is n(d)?
0
Let z(x) be the first derivative of -7*x**3/3 - x - 2. Let l = 101 - 102. Determine z(l).
-8
Let c(n) = -n**3 + 1. Let j(p) = -4*p**3 + 3*p**2 - p + 1. Let b(d) = 2*c(d) - j(d). Determine b(2).
7
Suppose 10 = t + t. Let w(l) be the second derivative of l**5/120 + l**4/4 - l**3/2 - 4*l. Let g(k) be the second derivative of w(k). What is g(t)?
11
Let g(s) = 0*s**2 + 7*s**2 + 2*s + 6 + 4*s - 6*s**2. What is g(-5)?
1
Let y(i) = 5*i. Let b be y(-1). Let q(m) be the third derivative of m**6/120 + m**5/10 + m**4/4 - 2*m**3/3 + 2*m**2. Calculate q(b).
-9
Let v(z) = z - 2. Let k be 2 - (-6)/(3 - 1). Calculate v(k).
3
Let s(o) = -o + 8. Let c(b) = -b. Let q(a) = 2*c(a) + s(a). Determine q(6).
-10
Let o(s) = 3*s**3 + s**2 + s + 1. Let p be o(-1). Let n(i) = -i**3 + 2*i**2 + 3*i. What is n(p)?
10
Let w(l) = -l**3 - l**2 - 2. Let x = -2 - -4. Let z be (0/x + 1)/1. Let m be -2 + z/((-3)/(-6)). Determine w(m).
-2
Let g(y) = y - 6. Let k(a) = -a + 5. Let j(o) = 5*g(o) + 6*k(o). Determine j(-6).
6
Let b(k) be the third derivative of 5*k**4/12 - k**3/6 + 29*k**2. What is b(1)?
9
Suppose -10*z = -7*z + 6. Let w(l) = l**3 + 3*l**2 + 2*l - 1. Give w(z).
-1
Let a(q) = 7*q + 2. Let r(u) = -u. Let w(p) = a(p) + 6*r(p). Calculate w(6).
8
Let o(m) = 2 + 1 - 4 + m. Let a(l) = l**3 - 2*l**2 - l - 2. Suppose 0 = -5*d + 7 + 8. Let r be a(d). Determine o(r).
3
Let k(y) = y**2 + 7*y. Let h be k(-7). Suppose 5*r - 4 - 11 = h. Let s(g) = g + r - 4*g + 2*g + 2*g. Give s(4).
7
Let r(f) = f + 2. Suppose -5*d - 41 = -y, -3*y + 2*d + 58 = -0*y. Suppose -y = -3*j - j. Calculate r(j).
6
Let c(j) = j. Let a = 22 + -21. Give c(a).
1
Let x(q) = 11*q**2 - 15. Let t(h) = 4*h**2 - 5. Let p(g) = 8*t(g) - 3*x(g). Suppose 2*l - 5*b - 6 = 0, 6 = 2*l - 3*b - b. Suppose 7*j - l*j = 0. Determine p(j).
5
Let p(h) = 5 - 7 + 3*h**2 + 0 - h**3 - 2*h. Determine p(2).
-2
Let d(q) = 8 - 2*q + 2*q - 2*q. Let u(y) = 5*y**2 - y + 1. Let f be u(1). Suppose f*b - 24 = b. Calculate d(b).
-4
Suppose 4*u + 6 = 18. Let d be 0 + (-1 + u - 1). Let x(h) be the first derivative of -h**3 - h**2 + h + 2. Calculate x(d).
-4
Suppose 2*s + 4*d - 4 = -8, -12 = -4*s + 2*d. Let a(j) be the second derivative of 0 + 5/6*j**3 + 0*j**s - 3*j. Calculate a(-1).
-5
Let c(k) = 12 - 12 + 4*k. Let h(s) = 3*s**2 - s. Let p be h(1). Determine c(p).
8
Let s(u) be the first derivative of u**4/12 + u**3 + 5*u**2/2 - 6. Let p(t) be the second derivative of s(t). Determine p(-6).
-6
Let w = 4 - -2. Let a(v) = v. Let d(l) = -31*l + 21. Let h(f) = 5*a(f) + d(f). Let q(y) = 9*y - 7. Let k(i) = w*h(i) + 17*q(i). What is k(5)?
-8
Let b(h) = -6*h + 3. Let t(c) = -2*c + 1. Let w(a) = 6*b(a) - 17*t(a). What is w(1)?
-1
Let m = 14 - -19. Let j be (22/m)/(2/15). Let c(y) = -y + 6. Determine c(j).
1
Suppose 3*y + 17 = 2*h + 4, -3*h = 5*y + 28. Let m(d) = 2*d**3 + 12*d**2 + 19*d - 7. Let v(t) = t**3 + 6*t**2 + 9*t - 3. Let k(p) = -4*m(p) + 9*v(p). Give k(y).
1
Let c(m) = 4 + 5*m - 4. Suppose 4*n + 0*n + 4 = 0. Calculate c(n).
-5
Let j(k) = -k**3 - k**2 + k - 2. Let s = -49 - -49. Give j(s).
-2
Suppose 2*k = -3*k + 30. Let j(y) = -5*y**2 - y**3 + 15*y**2 - 4*y**2 + 3. What is j(k)?
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate w(m(g)).
-4416683*g
Let u(v) = -v**2 - 3*v - 2. Let j be u(-2). Let d(i) be the first derivative of -4 + 5/2*i**2 + j*i. Let l(p) = -2*p**2. Give d(l(b)).
-10*b**2
Let v(j) = -2*j. Let q(l) = l**2 - 3*l - 3. Let r be ((-1)/(-2) + 1)*-4 - -7. Let b(p) = -2*p + 0*p - 1 + p. Let s(f) = r*q(f) - 3*b(f). Calculate v(s(n)).
-2*n**2
Let o(b) = b. Let g(v) = 8801*v - 3. Determine o(g(r)).
8801*r - 3
Let y be -13 - -5 - (-6 - 2). Let j(n) be the first derivative of 0*n + y*n**2 + 7 - 2/3*n**3. Let r(a) = -a. What is j(r(o))?
-2*o**2
Let y(m) = 9*m. Let d(h) = 1. Let g(x) = x**2 + 11*x - 11. Let z be g(-12). Let k(b) = 2*b - 5. Let l(i) = z*k(i) + 5*d(i). Calculate y(l(w)).
18*w
Let i(s) = -6 - 5*s**2 + 6. Let y(v) be the first derivative of v**3/3 + 40. What is i(y(k))?
-5*k**4
Let r(i) = -11 - 6 + 899*i + 20 - 3. Let o(d) = -2*d. What is r(o(s))?
-1798*s
Let i(j) = j**2 + 26. Let l(m) be the third derivative of m**4/3 - 161*m**2 + 3. Determine i(l(k)).
64*k**2 + 26
Let o(r) be the third derivative of r**5/3 + 7*r**3/6 + 36*r**2. Let v(q) be the first derivative of o(q). Let g(h) = -h**2. What is v(g(m))?
-40*m**2
Let t(r) = -2*r**2. Let u be (-4)/4 + -3 + 6. Let g(y) = -20*y**u + 13*y**2 + 13*y**2. Give g(t(s)).
24*s**4
Let x(y) = -4187*y**2. Let l(z) = -16*z**2. Give l(x(w)).
-280495504*w**4
Let g(b) = -37281*b**2. Let x(u) = 2*u. Determine g(x(l)).
-149124*l**2
Let y(h) = -h**2. Let p(v) be the first derivative of 149*v**3/3 + 290. Calculate p(y(u)).
149*u**4
Let j(s) = 170*s. Let o(h) = -13*h**2. Give j(o(i)).
-2210*i**2
Let s(n) = 6*n**2 - 6*n + 4036. Let q(i) = 2*i**2. Calculate s(q(g)).
24*g**4 - 12*g**2 + 4036
Let y(q) = 111*q**2. Let p(d) = d. What is y(p(m))?
111*m**2
Let y(h) = 20*h**2. Let t(k) = k. Let s(j) = -2*j. Suppose 5*d + 2*n = -36, 2*n = 2*d - 3*n + 26. Let g(z) = d*t(z) - 5*s(z). Determine g(y(r)).
40*r**2
Let m(p) = 12425*p + 7*p**2 - 12425*p. Let a(j) = 16*j. Determine m(a(t)).
1792*t**2
Let i(h) = -8*h**2. Let s(d) = -d**2 - 4*d - 40. Let p be s(-9). Let l(r) = -11*r. Let t(c) = 155*c. Let a(g) = p*l(g) - 6*t(g). What is a(i(v))?
-40*v**2
Let l(j) = 70*j**2 - 2. Let a(t) = 3*t + 45. Let g(h) = 2*h + 25. Let o(w) = -5*a(w) + 9*g(w). Give o(l(b)).
210*b**2 - 6
Suppose -4*j - 3*j - 7 = 0. Let v(w) = -35*w**2. Let z(g) = -g**2. Let k(y) = j*v(y) + 4*z(y). Let u(f) = 2*f**2. Determine u(k(m)).
1922*m**4
Let a(m) = -47*m**2 - 3*m - 264. Let o(d) = 5*d**2. Determine a(o(f)).
-1175*f**4 - 15*f**2 - 264
Let r(s) = -285*s**2 - 855*s - 855. Let z(v) = v + 1. Let l(t) = r(t) + 855*z(t). Let c(j) = j**2. What is c(l(w))?
81225*w**4
Let c(m) = -18*m**2. Let x(f) = 1. Let s(v) = -v + 3. Let z(l) = s(l) - 3*x(l). Give z(c(r)).
18*r**2
Let z(a) = -a**2. Let y be (3 - (-2 + 3))/((-2)/(-3)). Let q(j) = -y - 16 + j + 34. What is z(q(i))?
-i**2 - 30*i - 225
Let l(i) = 5*i. Let w(k) be the first derivative of 5*k**3/3 - 15*k**2/2 + 198. Calculate l(w(d)).
25*d**2 - 75*d
Let x(m) = 14862*m. Let p(o) = -5*o. Determine p(x(w)).
-74310*w
Let x(t) = 2*t. Let j(n) = -2*n**2 + 44*n - 1229. Give j(x(w)).
-8*w**2 + 88*w - 1229
Let o(j) = -j. Let l(y) be the first derivative of -y**2/2 - 68. Give l(o(z)).
z
Let i(p) be the first derivative of 4 + 0*p - 1/30*p**5 + 0*p**4 + 0*p**3 + 2*p**2. Let b(u) be the second derivative of i(u). Let s(g) = 18*g**2. Give b(s(z)).
-648*z**4
Let r(x) = 3*x**2 - 1. Let t(w) = -2*w + 10. Let v(l) = -2. Let g(j) = -t(j) - 5*v(j). Give g(r(f)).
6*f**2 - 2
Let x(w) = -7*w. Let k(a) = -a. Let p(r) = 6*k(r) - x(r). Let n(i) be the second derivative of 0*i**2 + 1/4*i**4 + 24*i + 0 + 0*i**3. Calculate p(n(g)).
3*g**2
Let h(f) = -7*f - 3. Let d(r) = -9*r - 3. Let i(u) = -6*d(u) + 7*h(u). Let o(p) = -3*p. Give i(o(x)).
-15*x - 3
Let x(v) be the first derivative of v**2/2 - 8*v - 9. Let k(s) = 2*s. Calculate x(k(b)).
2*b - 8
Let r(y) = 3*y**2. Suppose 218 = 9*p + 11. Let s(t) = 7*t**2 + p - 23 + 5*t**2. Calculate r(s(u)).
432*u**4
Let g(m) = -10*m**2 + 5*m**2 - 6*m**2. Let n(s) = 96*s**2 - 53*s**2 - 40*s**2. Determine n(g(i)).
363*i**4
Let o(w) = -w. Let u(m) be the second derivative of -3 + 0*m**2 + 13*m + 38/3*m**3. Give u(o(t)).
-76*t
Let c(i) be the second derivative of 0 + 0*i**3 + i + 0*i**2 + 1/6*i**4. Let d(h) = -20*h. Determine d(c(a)).
-40*a**2
Let v(l) = -97525*l. Let a(y) = y. Determine a(v(i)).
-97525*i
Let l(m) = -2*m + 88. Let u(h) = h + 13*h + 7*h - 21*h + 2*h. Give u(l(z)).
-4*z + 176
Let i(l) = 2*l. Let s(x) be the second derivative of -7*x**4/6 + 2*x + 2. Give i(s(q)).
-28*q**2
Let q(k) = -2 + k + 2. Let x(u) be the second derivative of -3*u + 2 + 7/6*u**3 + 0*u**2. Determine q(x(p)).
7*p
Let l(o) = -15*o**2 + 11*o. Suppose 7*r + 11 = 8*r. Let c(h) = 3*h**2 - 2*h. Let a(s) = r*c(s) + 2*l(s). Let j(u) = 4*u**2. Determine a(j(b)).
48*b**4
Let c(m) = -474446*m. Let h(n) = -n**2. Give h(c(s)).
-225099006916*s**2
Let m(h) = h. Let f(g) = -60 + 2*g**2 + 3*g**2 - 2*g + 60. What is f(m(i))?
5*i**2 - 2*i
Let i(s) = 161*s + 42. Let g(m) be the second derivative of 19*m**3/6 + 5*m**2/2 + 11*m + 2. Let l(f) = -42*g(f) + 5*i(f). Let o(x) = -3*x**2. Give o(l(h)).
-147*h**2
Let f(w) = 13446*w. Let j(y) = -y. Determine f(j(n)).
-13446*n
Let c(p) = 4*p + 8. Let s(u) = 9*u + 20. Let q(x) = 5*c(x) - 2*s(x). Let v(y) = -73*y. Calculate q(v(i)).
-146*i
Let c(m) = 2*m - 188. Let n(g) be the third derivative of 5*g**4/24 - 278*g**2. Determine c(n(t)).
10*t - 188
Let o(a) = a. Let t(m) = 51306*m. Give t(o(p)).
51306*p
Let z(t) be the first derivative of -2*t**3/3 + 54. Let n(m) = m**2 + 81. Give z(n(y)).
-2*y**4 - 324*y**2 - 13122
Let o = 134 + -79. Let y(q) = -10*q + 55. Let m(k) = -k + 6. Let s(n) = o*m(n) - 6*y(n). Let x(b) = 2*b**2. Calculate s(x(a)).
10*a**2
Let r(k) = -185*k. Let q(b) = 34948*b. Calculate q(r(y)).
-6465380*y
Let l(y) = 2*y**2. Let h(x) be the first derivative of -3 + 3/2*x**2 + 0*x. Determine h(l(p)).
6*p**2
Let o(b) = 147 - 53 - 50 - 51 - b. Let p(q) = q. Calculate o(p(s)).
-s - 7
Suppose 7*m - 4 + 11 = 0. Let n(z) = 1. Let d(s) = 4*s**2 - 10. Let v(b) = m*d(b) - 10*n(b). Let l(y) = -2*y**2. Determine l(v(f)).
-32*f**4
Let z(m) = 2*m**2. Let c(t) be the second derivative of -17*t**6/720 + 11*t**4/12 + 3*t. Let h(d) be the third derivative of c(d). Determine z(h(j)).
578*j**2
Let w(t) = -t**2 - 2*t - 2. Let v(h) = 92*h**2 + 92*h + 92. Let s(p) = -4*v(p) - 184*w(p). Let q(d) = 2*d**2. Give q(s(z)).
67712*z**4
Let a(n) = 2*n. Let h(v) = 4*v**2 + 2*v. Let z(j) = -35*j + 8*j**2 + 74*j - 34*j. Let b(s) = -5*h(s) + 2*z(s). Determine a(b(q)).
-8*q**2
Let n(u) = -3*u**2. Suppose -p - 9 + 3 = 0. Let m(j) = 5*j**2 + 3*j - 3. Let x(k) = 21*k**2 + 13*k - 13. Let l(g) = p*x(g) + 26*m(g). Give l(n(f)).
36*f**4
Let n(h) = 8813*h**2. Let r(o) = -10*o**2. Calculate r(n(a)).
-776689690*a**4
Suppose -4*i - 2676 = -4*w, 9 = 5*i - 11. Let a(r) = 649*r - 1 - w*r + 1. Let y(o) = 2*o. What is a(y(v))?
-48*v
Let h(z) = -61*z - 1. Let w(r) = -1931*r. What is h(w(l))?
117791*l - 1
Let q(o) = -6*o**2 - 155 - 131 + 309. Let m(y) = -3*y. What is q(m(l))?
-54*l**2 + 23
Let s(g) = 3*g + 57. Let j(w) = -7*w + 19*w - 6*w - 7*w. Calculate j(s(x)).
-3*x - 57
Let l(y) = 2*y**2. Let t(s) = 656406*s**2. Determine l(t(a)).
861737673672*a**4
Let g(b) = -6*b. Let o(x) = -1156653*x. Determine o(g(h)).
6939918*h
Let n(p) be the first derivative of 8*p**2 - 6. Let m(g) = -5*g**2 + 3. Let r(i) = 2*i**2 - 1. Let c(b) = -m(b) - 3*r(b). Calculate c(n(w)).
-256*w**2
Let c(f) = -14*f**2. Let i(x) = -280271*x. Calculate i(c(z)).
3923794*z**2
Let n(b) = -6*b. Let d(r) = 8849*r**2 - 5*r. What is n(d(o))?
-53094*o**2 + 30*o
Let z(s) = 9*s - 16. Let y(n) = 379*n**2. What is y(z(r))?
30699*r**2 - 109152*r + 97024
Let y(u) = 24*u. Let t = 0 - -22. Let o(j) = j**2 - j. Let x(w) = -12*w**2 + 11*w. Let q(b) = t*o(b) + 2*x(b). Determine y(q(p)).
-48*p**2
Let l(p) be the third derivative of p**5/12 + 171*p**2. Let b(i) = 4*i. Calculate b(l(u)).
20*u**2
Let x(k) = -340*k**2 + 1. Let c(p) = -10*p**2. Determine c(x(i)).
-1156000*i**4 + 6800*i**2 - 10
Let k(a) be the first derivative of -13 + 41/3*a**3 + 1/2*a**2 + 0*a. Let j(b) = b. Determine j(k(u)).
41*u**2 + u
Let f(h) be the first derivative of 0*h - 2/3*h**3 + 0*h**2 + 17. Let l(t) = 10*t**2. Give f(l(d)).
-200*d*
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 4*u. Let x be a(-4). Solve 0*h - h - x = 0 for h.
-3
Suppose -u = -2*b - 4, 0*b + 4*u = -4*b + 16. Let n be -2 + 0 + 8 - (b + 2). Solve -n*c = c + 10 for c.
-2
Let z(l) be the first derivative of l**4/4 - 7*l**3/3 + 3*l**2/2 + 1. Let k be z(6). Let h be (k - -10)/(-1 + -1). Solve 3 = h*c - c for c.
1
Let q(i) = 2*i + 4. Suppose -3 = -a - 0*a. Let p be q(a). Suppose -p = 2*d, -3*h + 2*h + 5*d + 27 = 0. Solve y - 2*y + h = 0 for y.
2
Let s be (3 - 36/8)/((-12)/(-32)). Let d be (-1 + -4)/(s/8 - 2). Solve 5 + 1 = d*c for c.
3
Suppose 0 = 5*s - 2*x, -5*x = -8 - 17. Let r(k) = -k**3 + 13*k**2 - 21*k - 6. Let v be r(11). Solve v*q - 6 = s*q for q.
2
Let a(c) = -c - 21. Let h be a(-8). Let s = h - -4. Let v = -2 - s. Solve 3*y = v*y - 12 for y.
3
Let n be 0*(-2)/(-4) + 4. Let u = -61 + 39. Let d = u - -27. Solve -6 - n = d*c for c.
-2
Let x be -2*(9/(-4) - 4/16). Suppose -m = x*o - 9 - 15, 4*o - 3*m = 4. Suppose h + 2*h - 2*y - 12 = 0, -2*y - 6 = 0. Solve 0 = h*v - o - 0 for v.
2
Suppose 38*m = 581 + 787. Solve w + 34 = m for w.
2
Let l(q) = 4*q + 8. Let j be l(-2). Let a(h) = -25*h - 17. Let i be a(-1). Solve j*p - 2*p = i for p.
-4
Suppose -j = i + 6, 2*j = -0*i + 3*i + 8. Let z(g) = 2*g + 8. Let l be z(i). Solve n + 2*n - 3 = l for n.
1
Let b(u) = -33 - 3*u + 43 + 36 + 4*u. Let r be b(0). Suppose -l - 52 = -5*c, 4*c + l = 4*l + r. Solve -v = 4*v - c for v.
2
Suppose -2*o + 3*v = 8, -4*v + 10 = 3*o - 3*v. Suppose o - 1 = -t. Let a = 4 + t. Solve 2*c + a = 11 for c.
4
Let m = -214 + 216. Let x be (-11)/(-6) - (-1)/6. Suppose x*b - 3*b + 2 = 0. Solve -b*n - m*n = 12 for n.
-3
Let v(u) be the third derivative of 5*u**4/24 + 2*u**3/3 + 12*u**2. Let h be v(0). Solve 0 = h*d - d - 9 for d.
3
Let n = 817 - 805. Solve 11*g + n = 15*g for g.
3
Let a(j) = -2*j - 5. Let f(y) = -3*y - 9. Let t(q) = -5*a(q) + 3*f(q). Let h be t(2). Suppose 11 = 4*i + 5*b - 4, -2*i + 3*b - 9 = h. Solve -3*p - p = i for p.
0
Let g be 3*1*4 + -2. Let t(d) = d**2 + 4*d - 4. Let r be t(-5). Suppose -3*y = 3*i - 9, i - y = -r + 2. Solve i*p + 0*p = -g for p.
-5
Let d(n) = -n**2 - 13*n - 28. Let c be d(-10). Suppose 19 - c = 4*r + t, 2*t - 4 = 2*r. Solve -3*g + 0 + r = 0 for g.
1
Let b be (12/14)/(8/28). Suppose 15 = b*q + 2*q. Suppose q*x = -0*x. Solve m + x*m = -1 for m.
-1
Let d(v) = -13*v**2 + 34*v - 3. Let u be d(2). Solve -21*a = -u*a + 24 for a.
-3
Let f = 42 - 42. Suppose -g + 2*g = -2*q - 10, f = -g - 3*q - 15. Solve 1 + g = b for b.
1
Suppose 11 = 4*m + 3*t - 12, 2*m - 5*t - 5 = 0. Solve -12 = -2*l + m*l for l.
-4
Let l(t) = 3*t - 2. Let u(g) = 4*g - 3. Let a(k) = -3*l(k) + 2*u(k). Let c be a(-7). Let b = 7 - c. Solve b*i - 15 = 3*i for i.
-5
Let p(c) = 6*c - 35. Let y be p(12). Suppose 0 = y*v - 35*v. Solve -5*l + 2 + 3 = v for l.
1
Suppose 1 = 4*h + 5. Let v be h + 1 + 2 + 0. Suppose 10 = 2*g - 0*g + v*d, -2*g - 5 = -3*d. Solve 4*l = -g + 14 for l.
3
Suppose -4*g - 14 = 2. Let f(x) = x + 4. Let j be f(g). Solve j*r = 3*r + 9 for r.
-3
Let m = -153 - -24. Let o = m - -144. Solve -2*k - 3*k - o = 0 for k.
-3
Let g be (-2)/(-4) + 7/(14/(-5)). Let c = -4 - -3. Let b be c - g - 0 - -1. Solve 0 = -b*j - 6 for j.
-3
Let h be (3*2)/(1 + 1). Let j = 106 - 118. Let d be 4/(16/j) + 4/1. Solve -4 = -h*v - d for v.
1
Let t be (-531)/21 + 6/21. Let c = 31 + t. Solve -c*r - 4 = -2*r for r.
-1
Suppose 2*y + 4 - 19 = -5*s, -y = 3*s - 9. Suppose -5*o - 4*k = -8*k, -4*o = -k - 11. Suppose o*j - 75 = -j. Solve j - s = -3*v for v.
-4
Suppose 0 = -w + 5*w - 3*y - 59, 4*y = -3*w + 13. Suppose 5*f - w*f = -36. Solve -10*a = -f*a for a.
0
Let j(n) = -n**3 + 10*n**2 - 19*n + 5. Let g be j(6). Solve -3*u - 4*u + g = 0 for u.
5
Suppose 3*v + 19 = 4, -15 = 5*c + 5*v. Let p be 3/(-1)*-1 - 1. Suppose j + c = 0, -4*j + 0 - p = 3*n. Solve -10 = -0*t + n*t for t.
-5
Suppose -10 = -g - 4*g. Suppose 17 = 26*n - 35. Solve g + 0 = n*l for l.
1
Let k(l) = -l**2 - 3*l + 2. Let w be k(-2). Suppose -5*t + 20 = 5*u, -24*u + 15 = -19*u. Solve t + 11 = w*g for g.
3
Suppose 4*o - 1 - 8 = -5*m, 3*o + 3*m - 9 = 0. Solve -2 - o = 4*u for u.
-2
Suppose 0 = -2*q + 11 - 3. Suppose 2*i - 2*d = 8 - 10, -5 = 3*i - 4*d. Let v(k) = 4*k**2 - 2*k - 1. Let c be v(-1). Solve -c*z + i + q = 0 for z.
1
Suppose -3*u + 19 = -0*r + 2*r, 4*u + r - 22 = 0. Suppose u*x + 4*y - y = 0, 0 = 2*x + 2*y. Solve 2*b - 6 = -x*b for b.
3
Suppose -3*h - 18 = -2*h - 4*i, -3*h + 2*i - 14 = 0. Let t be -1 - (-8 - (h + -2)). Let u be 2/t*99/22. Solve -d - 8 = u*d for d.
-2
Let q(f) = 7*f - 17. Let j be q(4). Solve -4*t + 1 = -j for t.
3
Let n(r) = -r**3 - 42*r**2 - 81*r - 40. Let i be n(-40). Solve 6*g + 36 - 6 = i for g.
-5
Let v be ((-6)/(-4))/((-12)/(-432)). Suppose -7*n = -n - v. Suppose -4*z = -n*z. Solve z = -u - 4 + 1 for u.
-3
Let r = 79 - 76. Let x be r - 5*(0 - 2/(-10)). Let y = -3 + 7. Solve -x*p + y*p = 8 for p.
4
Let x(w) = -2*w - 29. Let r(c) be the second derivative of -c**3/6 - 7*c**2 + 8*c. Let g(p) = -5*r(p) + 2*x(p). Let q be g(-11). Solve -2*y - q = -y for y.
-1
Let h be ((-60)/(-8))/(-3)*-2. Suppose -12*t + 21 = -h*t. Solve 0 = t*z - 0*z - 9 for z.
3
Suppose 0 = h - 4*q - 17, 6 = 3*h - 0*h + 3*q. Let s(g) = 9*g + 142. Let u be s(-13). Solve h*f + u = 5 for f.
-4
Suppose 5*c = c - h + 63, -4*c = 5*h - 59. Suppose -88 - c = -4*f. Let j be -1 + 0 + 6 + 0. Solve f - 6 = -j*b for b.
-4
Suppose 45*l = 30*l + 165. Let a(v) = 5*v**3 - v + 1. Let u be a(1). Solve l - 1 = -u*q for q.
-2
Let q be (-223)/(-9) - (-2)/9. Let b be 4/(-8)*-10 + -4. Let t be b/4 + (-105)/(-28). Solve 0 = a + t*a + q for a.
-5
Let v(m) = -m + 12. Let l = 39 + -27. Let z be v(l). Solve z = 4*y - 2*y + 4 for y.
-2
Suppose 3*n + n = -2*p - 66, 2*n + 36 = -2*p. Let v be 5 - 8/((-40)/n). Solve -v*b = 1 + 7 for b.
-4
Suppose -4*p - 4*r = -8*p + 8, -5 = 5*p - 2*r. Let a(w) = -w**3 - 2*w**2 + w - 4. Let v be a(p). Solve -4 + 2 = -v*b for b.
1
Let f(j) be the second derivative of j**3/6 + 5*j**2 + j. Let v be 456/171*(-3)/1. Let z be f(v). Solve -n = -z*n for n.
0
Let m(r) = -r**2. Let y be m(0). Let l = -221 + 226. Solve y*o = l*o for o.
0
Let g = -37 + 25. Let l be (g + 2 + -3)/(-1). Suppose l = 5*t - 7. Solve h + t = -0 for h.
-4
Suppose 6*x + 4*x + 1040 = 0. Let u = x - -104. Solve u = 4*l - 3 - 9 for l.
3
Suppose 3*z - 5*z = 2*a + 2, -24 = -z + 4*a. Suppose 5*s - 5 = 0, -z*r = -0*r - s - 7. Solve r = p + 6 for p.
-4
Let n(k) = -2*k + 7. Let d be n(0). Suppose 3*a = -d*a. Solve a = 4*s - 2*s - 6 for s.
3
Let t = -352 - -361. Solve 0 = -71*v + 68*v + t for v.
3
Let b(q) = -72*q - 622. Let c be b(-12). Solve 245*l = c*l - 9 for l.
-3
Let v = -52 + 80. Solve -3*n + 10*n = v for n.
4
Suppose -30 = -2*n - 10. Suppose 4*k + n = 9*k. Solve -5 - 5 = k*o for o.
-5
Suppose -5*y - 101 = -3*p + 6, 5*p + 2*y - 137 = 0. Solve p + 19 = 12*n for n.
4
Suppose -254 = 5*d - 264. Solve 17 = -d*j + 11 for j.
-3
Let n = -94 + 101. Solve 13*z - 12 = n*z for z.
2
Suppose 0*l + 4*l = 4*w + 28, 2*l + 2*w + 2 = 0. Solve l*n = 5*n for n.
0
Suppose 0 = 3*z + 3*j - 3, 4*z + 5*j - 4 = 1. Solve 15 = -z*f - 5*f for f.
-3
Let b be (10/(-4))/((-25)/100). Solve b = 5*h - 15 for h.
5
Let c = -464 - -472. Solve -c*o = -5 - 11 for o.
2
Let o(h) = -h**2 - 20*h + 29. Let d be o(-21). Solve -6 = d*w - 6*w for w.
-3
Let z = 611 - 599. Solve -z = -3*k + 9*k for k.
-2
Let r(k) be the first derivative of 3*k**2/2 - 14*k - 10. Let m be r(9). Solve -7 - m = -5*y for y.
4
Suppose s = 5 - 7. Let o be -10*(2 - s/(-4)). Let a be 3/5 + (-6)/o. Solve -a = -3*c - 4 for c.
-1
Suppose 4*m - 3 = n, n + 16 = 5*n - 2*m. Suppose -3*h = -h - 6. Suppose -20*s + 32*s = 120. Solve n = h*z - s for z.
5
Let x(y) be the first derivative of y**3/3 + y**2/2 - 3*y + 1. Let r be x(-3). Suppose 3*i - 6*i = r*k - 21, -2*k - i + 9 = 0. Solve k = l - 1 for l.
3
Let o = 94 + -58. Suppose o = -5*g + 6. Let a = g + 8. Solve -6*y = -a*y for y.
0
Suppose 0 = -0*l - 3*l. Let f(a) = a**3 - 16*a**2 - 15*a - 16. Let b be f(17). Suppose -4*p + 14 = -b. Solve l*h = 2*h - p for h.
4
Let h(z) = z**2 + 3*z - 12. Let t be h(-6). Let s be 8/t*(-27)/(-18). Suppose -s*o = -3*o - p, 4*p + 8 = 0. Solve d = -o*d + 12 for d.
4
Suppose 15*u - 56 - 4 = 0. Suppose u*o = 6*o. Solve 4*h - h = o for h.
0
Let m be ((6/15)/(-1))/(4/(-10)). Solve 2*o = -5 + m for o.
-2
L
|
{
"pile_set_name": "DM Mathematics"
}
|
test common divisor of 38 and 4237?
19
Calculate the greatest common factor of 84 and 3444.
84
Calculate the greatest common divisor of 356 and 8.
4
What is the greatest common divisor of 87 and 203?
29
Calculate the highest common factor of 55 and 65.
5
Calculate the greatest common factor of 341 and 124.
31
What is the greatest common factor of 54 and 405?
27
Calculate the greatest common factor of 8 and 26584.
8
Calculate the greatest common divisor of 70 and 252.
14
What is the highest common factor of 4668 and 12?
12
What is the greatest common factor of 2001 and 87?
87
Calculate the greatest common divisor of 288 and 90.
18
Calculate the highest common divisor of 435 and 5745.
15
What is the highest common factor of 56 and 5404?
28
What is the highest common factor of 2842 and 58?
58
What is the greatest common divisor of 40 and 345?
5
Calculate the highest common factor of 7 and 2.
1
Calculate the highest common divisor of 2279 and 258.
43
What is the greatest common divisor of 270 and 60?
30
Calculate the highest common divisor of 21 and 69321.
21
What is the greatest common divisor of 1353 and 66?
33
What is the highest common divisor of 2482 and 68?
34
What is the highest common factor of 18 and 59040?
18
What is the highest common divisor of 30 and 390?
30
What is the highest common factor of 1189 and 261?
29
Calculate the highest common factor of 18 and 342.
18
What is the greatest common factor of 87 and 6?
3
Calculate the greatest common divisor of 160 and 200.
40
Calculate the highest common divisor of 96 and 160.
32
What is the highest common factor of 12054 and 492?
246
Calculate the highest common divisor of 273 and 156.
39
What is the highest common factor of 1656 and 216?
72
Calculate the highest common divisor of 1012 and 352.
44
What is the highest common factor of 80 and 56880?
80
What is the highest common factor of 949 and 13?
13
What is the greatest common divisor of 5574 and 12?
6
Calculate the greatest common factor of 1922 and 62.
62
Calculate the highest common factor of 741 and 195.
39
Calculate the highest common divisor of 1517 and 74.
37
Calculate the highest common divisor of 1 and 263.
1
Calculate the greatest common divisor of 44 and 286.
22
What is the highest common factor of 48 and 27?
3
What is the highest common divisor of 5253 and 927?
309
Calculate the greatest common divisor of 1509 and 3.
3
Calculate the highest common factor of 2 and 4.
2
What is the greatest common factor of 1240 and 217?
31
What is the greatest common divisor of 462 and 2562?
42
What is the greatest common divisor of 576 and 16?
16
What is the highest common factor of 722 and 38?
38
What is the highest common factor of 42 and 192?
6
What is the greatest common divisor of 20930 and 210?
70
What is the highest common divisor of 96 and 18720?
96
What is the highest common factor of 14 and 1309?
7
What is the greatest common factor of 32430 and 460?
230
What is the greatest common factor of 32 and 22?
2
Calculate the greatest common factor of 190 and 6859.
19
What is the highest common divisor of 5700 and 152?
76
Calculate the highest common divisor of 20 and 45.
5
Calculate the highest common divisor of 35 and 20.
5
Calculate the greatest common divisor of 17802 and 2070.
414
What is the greatest common divisor of 9648 and 96?
48
What is the greatest common divisor of 576 and 2088?
72
What is the highest common divisor of 50 and 225?
25
What is the greatest common factor of 704 and 968?
88
Calculate the greatest common divisor of 623 and 7.
7
What is the greatest common factor of 16 and 2?
2
Calculate the highest common divisor of 21 and 3997.
7
What is the greatest common factor of 42 and 6860?
14
What is the greatest common divisor of 32 and 544?
32
What is the highest common divisor of 86 and 36851?
43
What is the greatest common divisor of 5020 and 40?
20
Calculate the greatest common divisor of 12522 and 24.
6
Calculate the greatest common divisor of 660 and 30.
30
What is the highest common factor of 459 and 408?
51
What is the highest common divisor of 11336 and 52?
52
What is the highest common divisor of 2691 and 3042?
117
Calculate the greatest common divisor of 87 and 23780.
29
What is the highest common divisor of 7093 and 82?
41
Calculate the greatest common factor of 21 and 161.
7
Calculate the highest common factor of 408 and 240.
24
Calculate the greatest common divisor of 448 and 28.
28
Calculate the highest common divisor of 280 and 1190.
70
What is the highest common factor of 176 and 80?
16
Calculate the highest common factor of 8083 and 274.
137
What is the highest common factor of 130 and 95?
5
What is the greatest common divisor of 40 and 88?
8
Calculate the greatest common divisor of 68 and 85.
17
Calculate the highest common divisor of 145 and 116.
29
What is the greatest common divisor of 525 and 21?
21
Calculate the greatest common divisor of 11 and 341.
11
Calculate the highest common factor of 37 and 296.
37
What is the greatest common divisor of 134 and 134?
134
Calculate the greatest common divisor of 15918 and 42.
42
Calculate the highest common divisor of 576 and 720.
144
What is the greatest common factor of 44 and 3531?
11
Calculate the greatest common factor of 369 and 861.
123
Calculate the highest common divisor of 13 and 169.
13
What is the highest common factor of 736 and 414?
46
What is the highest common factor of 44 and 594?
22
What is the highest common divisor of 17 and 2499?
17
What is the highest common divisor of 52 and 84?
4
What is the greatest common divisor of 24949 and 61?
61
What is the greatest common divisor of 1633 and 994?
71
Calculate the highest common factor of 60 and 540.
60
Calculate the greatest common divisor of 928 and 80.
16
What is the highest common divisor of 49 and 140?
7
Calculate the highest common divisor of 726 and 44.
22
What is the highest common factor of 91 and 156?
13
Calculate the greatest common divisor of 196 and 490.
98
Calculate the greatest common factor of 13 and 30953.
13
Calculate the highest common divisor of 33 and 42.
3
Calculate the greatest common divisor of 2466 and 2.
2
Calculate the highest common factor of 2184 and 168.
168
What is the greatest common factor of 75 and 15800?
25
Calculate the greatest common divisor of 564 and 4.
4
Calculate the highest common factor of 34 and 170.
34
Calculate the greatest common factor of 852 and 42.
6
What is the highest common factor of 52 and 4108?
52
What is the greatest common divisor of 420 and 660?
60
What is the greatest common divisor of 10498 and 638?
58
Calculate the highest common divisor of 40 and 252.
4
What is the highest common divisor of 6 and 11?
1
Calculate the highest common divisor of 8 and 416.
8
Calculate the greatest common factor of 93 and 3069.
93
What is the greatest common factor of 532 and 140?
28
Calculate the greatest common divisor of 10 and 1495.
5
Calculate the highest common divisor of 38 and 1387.
19
Calculate the greatest common divisor of 465 and 15.
15
What is the highest common divisor of 144 and 1989?
9
Calculate the greatest common factor of 2 and 1163.
1
What is the highest common divisor of 1235 and 4085?
95
Calculate the greatest common divisor of 3 and 951.
3
Calculate the greatest common divisor of 368 and 299.
23
Calculate the greatest common factor of 90 and 1050.
30
Calculate the greatest common divisor of 435 and 5945.
145
What is the highest common divisor of 238 and 221?
17
What is the highest common divisor of 168 and 2576?
56
Calculate the highest common divisor of 485 and 2134.
97
What is the greatest common factor of 832 and 256?
64
What is the highest common factor of 84 and 154?
14
What is the greatest common divisor of 12 and 76?
4
Calculate the highest common divisor of 12 and 252.
12
Calculate the greatest common factor of 16 and 4624.
16
What is the highest common divisor of 35 and 903?
7
Calculate the highest common divisor of 16068 and 156.
156
What is the greatest common factor of 136 and 1054?
34
What is the greatest common divisor of 19 and 19?
19
What is the greatest common divisor of 391 and 46?
23
Calculate the greatest common divisor of 7777 and 616.
77
Calculate the greatest common divisor of 1302 and 147.
21
What is the gre
|
{
"pile_set_name": "DM Mathematics"
}
|
s the tenth root of 448202351 to the nearest integer?
7
What is the third root of 30995414 to the nearest integer?
314
What is the square root of 67428360 to the nearest integer?
8211
What is 2517270584 to the power of 1/2, to the nearest integer?
50172
What is the square root of 432253376 to the nearest integer?
20791
What is the square root of 127513351 to the nearest integer?
11292
What is the sixth root of 75224115 to the nearest integer?
21
What is 320819483 to the power of 1/2, to the nearest integer?
17911
What is the tenth root of 186105686 to the nearest integer?
7
What is 3284479576 to the power of 1/3, to the nearest integer?
1486
What is the square root of 259978038 to the nearest integer?
16124
What is the third root of 45130351 to the nearest integer?
356
What is 58909174 to the power of 1/3, to the nearest integer?
389
What is 72691201 to the power of 1/2, to the nearest integer?
8526
What is 151975269 to the power of 1/4, to the nearest integer?
111
What is the seventh root of 1223358486 to the nearest integer?
20
What is the third root of 3328109773 to the nearest integer?
1493
What is 302214439 to the power of 1/2, to the nearest integer?
17384
What is 294000207 to the power of 1/2, to the nearest integer?
17146
What is 920144370 to the power of 1/8, to the nearest integer?
13
What is the square root of 3154062647 to the nearest integer?
56161
What is the cube root of 62976930 to the nearest integer?
398
What is the eighth root of 90286839 to the nearest integer?
10
What is the ninth root of 87670840 to the nearest integer?
8
What is 212838012 to the power of 1/9, to the nearest integer?
8
What is 964138266 to the power of 1/10, to the nearest integer?
8
What is 161365910 to the power of 1/6, to the nearest integer?
23
What is 357515502 to the power of 1/4, to the nearest integer?
138
What is 56953950 to the power of 1/5, to the nearest integer?
36
What is the tenth root of 110582932 to the nearest integer?
6
What is the square root of 84796371 to the nearest integer?
9208
What is 53192771 to the power of 1/8, to the nearest integer?
9
What is the square root of 760833795 to the nearest integer?
27583
What is the fourth root of 308577675 to the nearest integer?
133
What is 50520722 to the power of 1/2, to the nearest integer?
7108
What is the tenth root of 16801275 to the nearest integer?
5
What is 1233167925 to the power of 1/7, to the nearest integer?
20
What is the square root of 136546465 to the nearest integer?
11685
What is the fourth root of 62925797 to the nearest integer?
89
What is 5364711910 to the power of 1/4, to the nearest integer?
271
What is 115497812 to the power of 1/2, to the nearest integer?
10747
What is 3611997821 to the power of 1/6, to the nearest integer?
39
What is the cube root of 21751370 to the nearest integer?
279
What is the seventh root of 6745522468 to the nearest integer?
25
What is 39909990 to the power of 1/2, to the nearest integer?
6317
What is 140181553 to the power of 1/10, to the nearest integer?
7
What is the tenth root of 613085818 to the nearest integer?
8
What is 59133406 to the power of 1/3, to the nearest integer?
390
What is the third root of 281616117 to the nearest integer?
655
What is the fifth root of 64462518 to the nearest integer?
36
What is the square root of 772964041 to the nearest integer?
27802
What is the third root of 68681676 to the nearest integer?
410
What is the ninth root of 3254648513 to the nearest integer?
11
What is 652203049 to the power of 1/4, to the nearest integer?
160
What is the cube root of 2370057813 to the nearest integer?
1333
What is the square root of 98911506 to the nearest integer?
9945
What is the sixth root of 2476594341 to the nearest integer?
37
What is 1519544236 to the power of 1/3, to the nearest integer?
1150
What is 18274150 to the power of 1/2, to the nearest integer?
4275
What is the square root of 1230515702 to the nearest integer?
35079
What is 1334437424 to the power of 1/5, to the nearest integer?
67
What is 2105844368 to the power of 1/4, to the nearest integer?
214
What is the seventh root of 135248029 to the nearest integer?
15
What is 49767811 to the power of 1/3, to the nearest integer?
368
What is 416926072 to the power of 1/9, to the nearest integer?
9
What is 1102892949 to the power of 1/2, to the nearest integer?
33210
What is the eighth root of 633775667 to the nearest integer?
13
What is the cube root of 537632835 to the nearest integer?
813
What is the square root of 4701838810 to the nearest integer?
68570
What is 1374655697 to the power of 1/3, to the nearest integer?
1112
What is 38238074 to the power of 1/3, to the nearest integer?
337
What is the square root of 713051551 to the nearest integer?
26703
What is the tenth root of 18218091 to the nearest integer?
5
What is the ninth root of 355479965 to the nearest integer?
9
What is 251604654 to the power of 1/2, to the nearest integer?
15862
What is 5751767601 to the power of 1/3, to the nearest integer?
1792
What is the fifth root of 395703288 to the nearest integer?
52
What is 178863417 to the power of 1/2, to the nearest integer?
13374
What is 7556374 to the power of 1/7, to the nearest integer?
10
What is the square root of 39497612 to the nearest integer?
6285
What is the square root of 7840130 to the nearest integer?
2800
What is 30434118 to the power of 1/3, to the nearest integer?
312
What is 1300697125 to the power of 1/2, to the nearest integer?
36065
What is 16996783 to the power of 1/4, to the nearest integer?
64
What is the third root of 3955271910 to the nearest integer?
1581
What is 223498851 to the power of 1/7, to the nearest integer?
16
What is the fourth root of 24134660 to the nearest integer?
70
What is 69592584 to the power of 1/5, to the nearest integer?
37
What is the square root of 230354383 to the nearest integer?
15177
What is 1159100426 to the power of 1/9, to the nearest integer?
10
What is 42247100 to the power of 1/3, to the nearest integer?
348
What is the tenth root of 1198954985 to the nearest integer?
8
What is 37963757 to the power of 1/6, to the nearest integer?
18
What is 162782805 to the power of 1/2, to the nearest integer?
12759
What is 46410303 to the power of 1/3, to the nearest integer?
359
What is the tenth root of 31795212 to the nearest integer?
6
What is the square root of 63927681 to the nearest integer?
7995
What is the cube root of 193218342 to the nearest integer?
578
What is the fourth root of 245313514 to the nearest integer?
125
What is 1045515362 to the power of 1/2, to the nearest integer?
32334
What is the third root of 31859414 to the nearest integer?
317
What is 34737280 to the power of 1/8, to the nearest integer?
9
What is the square root of 2005637539 to the nearest integer?
44784
What is the square root of 299776418 to the nearest integer?
17314
What is the cube root of 55654607 to the nearest integer?
382
What is 6285837 to the power of 1/2, to the nearest integer?
2507
What is 822810760 to the power of 1/5, to the nearest integer?
61
What is 39590940 to the power of 1/2, to the nearest integer?
6292
What is 57462420 to the power of 1/3, to the nearest integer?
386
What is the square root of 3076429268 to the nearest integer?
55466
What is the ninth root of 1713925134 to the nearest integer?
11
What is 340250707 to the power of 1/8, to the nearest integer?
12
What is 203030228 to the power of 1/6, to the nearest integer?
24
What is the cube root of 128899936 to the nearest integer?
505
What is the ninth root of 25251575 to the nearest integer?
7
What is the fifth root of 32667577 to the nearest integer?
32
What is the eighth root of 9848529 to the nearest integer?
7
What is 48122159 to the power of 1/2, to the nearest integer?
6937
What is 349807935 to the power of 1/10, to the nearest integer?
7
What is 16694778 to the power of 1/8, to the nearest integer?
8
What is the square root of 1651740009 to the nearest integer?
40642
What is 673198182 to the power of 1/3, to the nearest integer?
876
What is the sixth root of 263241465 to the nearest integer?
25
What is 592456964 to the power of 1/5, to the nearest integer?
57
What is 56216932 to the power of 1/4, to the nearest integer?
87
What is 297
|
{
"pile_set_name": "DM Mathematics"
}
|
+ r + 7. Let m be p(5). Solve -m = -5*u - 21 for u.
-4
Suppose -f + 2*f - 2*i = -5, 0 = -f - 2*i + 11. Let z = f - 1. Solve -6 - 4 = -z*t for t.
5
Let l = 58 - 38. Suppose i - 6*i = -l. Solve -7 = -w - i for w.
3
Let q be (-10)/(-3)*(-27)/(-9). Let c be (0 + 8/q)*5. Suppose -5*v + 55 = -o, -v - 6*o = -o - 11. Solve c*g - v = 5 for g.
4
Let j = 7 - 5. Solve 0 = -i - 3 - j for i.
-5
Let l = 24 + -9. Let a(u) = -8*u + 9*u - 3*u. Let i be a(-3). Solve 3*r - i*r = l for r.
-5
Suppose -2*h = -3*b + 4, 1 = 2*b + h - 4*h. Suppose -6*v + 27 = -3*v. Let t be (-2)/(-8) - 3/(-4). Solve t = -b*z + v for z.
4
Let t(x) be the second derivative of x**4/12 - x**3/3 - 5*x**2/2 + 2*x. Let w be t(5). Solve -2*p = 3*p + w for p.
-2
Suppose -7*q + 2*q - 5*i = -25, 2*i + 2 = 4*q. Suppose 9 - 28 = -3*y + l, 3*y - 5*l = 35. Let b = -3 + y. Solve b + 4 = q*c for c.
3
Suppose 0*f = 2*n + 5*f - 10, 3*n - 5*f + 10 = 0. Let u(i) = i**2 - 8*i + 10. Let x be u(7). Suppose 0 = -o - o + 4. Solve -x*c + o*c + 4 = n for c.
4
Let k = -12 - -27. Let g(i) = i**2 - 15*i + 12. Let x be g(k). Solve 8 + x = -5*d for d.
-4
Suppose -h + 24 = 5*h. Solve 12 = h*c + 32 for c.
-5
Let p be (-52)/(-14) - 2/(-7). Let b = p + 0. Solve y = b*y for y.
0
Suppose 0 = -2*v + 2 + 2. Let a = 3 - 3. Suppose -5*n + v*j + 16 = a, 3*j - 4 = j. Solve 0*s = n*s for s.
0
Suppose 0*m - 4*m = 28. Let d be (-2)/(-8) + m/(-4). Suppose -4*t = d*g - 0 - 4, t = 0. Solve -3*z = g*z for z.
0
Suppose 3*v = 13 + 8. Let g(q) = q**2 - 8*q + 9. Let p be g(v). Solve -s - p - 3 = 0 for s.
-5
Let i(w) = -2*w**2 - 1. Let b be i(-1). Let d be 3*(-1)/b - 2. Let j be (-1 + d + 2)*-1. Solve y + y + 10 = j for y.
-5
Let t = -57 + 59. Solve -2*c - t = -4*c for c.
1
Let u be ((-30)/(-5))/(1*2). Let f be (-3)/(-3) + (u - 1). Solve -4*v = -f + 23 for v.
-5
Let h be (-1 + 2)*(30 - -5). Solve -5*p - 10 + h = 0 for p.
5
Let f(m) = -m**3 + 14*m**2 - 12*m - 11. Let h be f(13). Suppose -3*n = l - 17, -3*l + l = -3*n + 2. Let o be (-4)/6 + 32/3. Solve -h*r = -n*r + o for r.
5
Suppose 0 = 5*q + 12 - 32. Suppose 4 = 4*j - 4*w, -3*w = -j - q - 3. Solve 3*a = -2*a - j for a.
-1
Let h(w) = -w**3 + 6*w**2 + 2. Let o be h(6). Solve 6 = -o*v - 4 for v.
-5
Suppose -4*i + q = -23, 0*q - 12 = 4*q. Solve 8*h - i = 3*h for h.
1
Suppose 0 = -14*g + 18*g - 40. Solve -5*q - g = 10 for q.
-4
Suppose 15 = t - 3*g, 1 = t + 4*g - 0*g. Solve t = -4*j - 11 for j.
-5
Let h(d) = -d**2 - 5*d + 6. Let b(f) = -f**3 + 7*f**2 - 8*f + 6. Let r be (1 - (1 - -6))*-1. Let x be b(r). Let v be h(x). Solve 0 = c - 1 - v for c.
1
Let f be -1 - -4*3/(-6). Let i(m) = -m**3 - m**2 + 4*m + 2. Let a be i(f). Suppose 0*r + a = 4*r. Solve g = -r*g - 12 for g.
-4
Let u be (-3 - -4 - 2) + -3 + 8. Solve -u*g = -6*g + 6 for g.
3
Suppose 5*w + 12 = 5*a + 7, -4*w + 5*a = 8. Solve -s + 8 = -w*s for s.
-4
Let a be ((-4)/7 - (-960)/112) + -4. Solve 0 = 5*m - 1 - a for m.
1
Let m(f) = -f + 7. Let p be m(7). Let g = 3 - p. Solve -4*a + 3 = -g*a for a.
3
Let h(b) = 1 - b - b + 3. Let y be h(4). Let w be 1/2*(4 + y). Solve w*l + 4*l = -16 for l.
-4
Let o be 2/2*12 + -2. Solve -2*x = -4*x - o for x.
-5
Let v be 1/1 + 8/(-2). Let h(y) = y**2 - 4*y - 7. Let f be h(6). Let o = v + f. Solve -o*b + 4 = -0*b for b.
2
Let u(t) = -5*t**2 + 4 + 4*t**2 - t - t - t. Let x be u(-4). Solve x = 2*v - 2 - 0 for v.
1
Let o = 2 + -1. Solve -z + o = -0 for z.
1
Let j(v) = -v**2 - 10*v + 4. Let n be j(-10). Let d be (-38)/(-14) - n/(-14). Solve -f = -d*f + 6 for f.
3
Let t = -13 - -14. Suppose -13 = -2*z - t. Solve 2 = -2*m + z for m.
2
Let d(u) be the third derivative of u**5/60 - u**4/12 - 2*u**3/3 + 5*u**2. Let y be d(4). Solve -1 + y = -a for a.
-3
Suppose -1 = -2*b + 7. Suppose -m + b*m - 15 = 0. Solve 15 = 4*t - m for t.
5
Let n(x) = -x**2 + 8*x - 4. Let z be n(3). Let p = z + -5. Suppose p = 3*c, -4 = -5*t - 0*c - 2*c. Solve -2*r - r + 6 = t for r.
2
Let b be 60/9 - ((-5)/(-3) - 2). Solve -b*l = -5*l for l.
0
Let m = -21 + 21. Suppose m = 2*u + 3*u + 4*g - 8, 3*u - 3*g + 6 = 0. Solve 4*r + 3 - 15 = u for r.
3
Let q be 2 - (0 - -1 - 5). Solve 4 = 2*m + q for m.
-1
Suppose -p - 4*p + 160 = 5*s, 0 = -4*s. Suppose 4*i - p = -2*g, -i + 3*i - 24 = -3*g. Suppose -l - 2*l = -6. Solve -z = l*z + i for z.
-2
Let d(g) = g**2 - 8*g. Let i be d(8). Suppose 1 = 2*x - 3. Let r be (-7)/(-1) - (x - i). Solve -r*h = -3*h for h.
0
Suppose -5*b = 2*n - 27, -n - 14 = -6*b + 3*b. Solve 0 = 3*g - 8*g - b for g.
-1
Let v be 36/(-90)*5/(-2). Solve -q = v - 5 for q.
4
Suppose -3*k = -0 - 6. Solve 5*r + k = -13 for r.
-3
Suppose -2 + 5 = 3*k. Suppose -2*a + 5*n - 32 = 43, 3 = n. Let o be a/3*(-1)/k. Solve -f - o = 4*f for f.
-2
Let d(q) be the second derivative of q**4/6 - q**3/2 - 2*q**2 - q. Let u be d(4). Let c(w) = w**3 - 25*w + 5. Let j be c(5). Solve -f + u = -j*f for f.
-4
Suppose 0 = -5*j + 20, -3*j + 0*j + 72 = 5*v. Solve -2*f = v - 2 for f.
-5
Let r be (-1*3)/(12/(-80)). Solve 0 = -4*i - i + r for i.
4
Let t = 12 + -10. Solve -2*q = t*q - 8 for q.
2
Let t = -3 - -4. Suppose t = j - 3. Solve 0 = -j*q + 5 + 3 for q.
2
Suppose -3*x - 5 = -4*j, j = -2*x - 3*j + 10. Solve 3*i + 5 + x = 0 for i.
-2
Let j = -2 + -2. Let c = j + 8. Let i(s) = s + 1. Let u be i(c). Solve 3*x - 4*x + u = 0 for x.
5
Let h(s) = -s**3 + 2*s**2 + 2*s - 2. Let j be h(2). Suppose -j*p = -0*p - 2. Let y be (p - 1 - 1)*0. Solve r + y = -1 for r.
-1
Let x be 36/(-8)*(-8)/(-6). Let j = x + 8. Let t = 5 - j. Solve 5 = -t*g + 2*g for g.
-5
Let m = -2 - -20. Let g = 2 - 2. Suppose 12 = 3*j - g*j. Solve -6 = -j*w - m for w.
-3
Suppose 0 = -3*r + 3, -2*r - 3 = -5*s + 5. Let m(j) = -j**3 + 3*j**2 - j - 1. Let d be m(s). Let l be -2 + (d/(-1) - -9). Solve l*c + 15 = 3*c for c.
-5
Let r = 0 + 3. Suppose 0 = 3*v - 4*v + r. Let d be 38/5 - (-4)/10. Solve 0 = d*f - v*f for f.
0
Let f(k) = -k**3 + 18*k**2 + 18*k + 26. Let b be f(19). Solve 2*m - b + 1 = 0 for m.
3
Let q = 4 - 4. Solve q*z - 3*z - 3 = 0 for z.
-1
Let m be (-1)/(-4) - 87/(-4). Let g = m + -11. Suppose 3*u + 1 = -4*n, -3*u + 3*n + g = -16. Solve 0 = -u*o + o - 8 for o.
-2
Suppose 4*z - 87 = 4*y + 61, 3*y + 71 = 2*z. Suppose 4*o - z = -3*q, 0 = 3*o - 4*q - 32 + 2. Solve 0 = -2*g - 0*g + o for g.
5
Suppose -5*p = 25, -3*x + 48 = -2*p - p. Let c = 19 - x. Solve -3*g + g = c for g.
-4
Let t be -2 - (0 - (-1 + -3)/(-2)). Solve 0*y - 2*y - 4 = t for y.
-2
Let a(u) = u. Let f be a(1). Let j = -26 + 38. Let k = j + -9. Solve -k = 4*o + f for o.
-1
Let f be 2/3 + 47/(-3). Let x be (4/3)/(f/(-45)). Solve -7 = x*y + 9 for y.
-4
Suppose 0*g - 4*g + 3*c = -4, -3*c = 3*g - 3. Solve g = -s + 3 for s.
2
Suppose -w = -5*y + 1 + 15, -3*y = -5*w + 8. Solve 2*g - w = -0 for g.
2
Suppose -2*b + 7 = 3. Suppose 5*o = g + 8, -2*o - 2*g = -10 + b. Let h = o + -2. Solve a = -h*a for a.
0
Let l(t) be the first derivative of -t**3/3 + 4*t**2 - 7*t - 1. Let v be l(6). Suppose v*p - 3*p = 10. Solve -11 = p*s - 1 for s.
-2
Let m be (-1 + -2 - -3)/(-1). Solve m = 5*i - 0*i for i.
0
Suppose 4*a + 5*d - 22 = 0, 4 = 4*a + 2*d - 6*d. Solve 0*j - a = -3*j for j.
1
Suppose -18 = 3*q - 6*q. Suppose 0 = 2*n - 0*n - q. Solve 7 = n*v - 5 for v.
4
Suppose 2*m + 3*t = -4, -4 + 0 = -2*m + t. Let p = 4 + -4. Let n be (m + (-9)/6)*p. Solve n*q - q = -2 for q.
2
Let l(k) = -k**3 - 8*k**2 + 2. Let z be l(-8). Solve -2*u + 20 = z*u for u.
5
Let o = 19 + 1. Let x be (-6)/(-4)*o/6. Let b = 39 + -35. Solve 0 = x*d + 19 - b for d.
-3
Suppose -9*d + 27 = -6*d. Let w be (2 - d/3)*-5. Let l be (3/3)/(1 - 0). Solve -w*u + 4 = -l for u.
1
Suppose 3*z - 5*z + 6 = 0. Suppose -2*v = 2*y - v - 9, -y = v - z. Solve 0*a + 2*a - y = 0 for a.
3
Let s(k) = k + 9. Let m be s(-7). Solve 0 = -4*a + m - 6 for a.
-1
Let u be -2*(-1)/(-3)*-6. Suppose 3*m - u*m = 0. Solve m*h = -h for h.
0
Let h = 6 - 21. Let i = h - -18. Solve -i = -5*n + 2 for n.
1
Suppose -2*j - 3 = b, 2*j + 2 = 2*b - 4*b. Let p be j/6 - 70/(-21). Suppose -o - 34 = -2*d + o, p*d = 4*o + 50. Solve -4*f = -2 + d for f.
-4
Let q(b) = b**2 - b + 2. Let f be q(2). Solve f = 3*y + 1 for y.
1
Suppose 4*a = -y + 25, -5*a = y - 7*a + 5. Solve -16 = y*j + 9 for j.
-5
Let b be (-4)/(-2 - (-2 + 2)). Solve -b = 2*p - 12 for p.
5
Let a = 117 + -117. Solve 1 = -a*d - d for d.
-1
Let h(f) = -f - 24. Let r be h(-26). Solve -5*
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -48*g - 7*g = -26*g + 696 for g.
-24
Solve -224*n - 87*n - 7453 = -54*n for n.
-29
Solve 64*a + 45*a = 82*a + 27 for a.
1
Solve -7467*w + 819 = -7404*w for w.
13
Solve -58*b - 557 + 1601 = 0 for b.
18
Solve 1323*v + 25687 = -258*v + 70*v for v.
-17
Solve -15971 = 789*c - 3347 for c.
-16
Solve 1800 = 6*u + 1716 for u.
14
Solve -9*c = -5*c - 32*c + 336 for c.
12
Solve 3724 = -164*w - 102*w for w.
-14
Solve 0 = -6*l + 22*l + 16 for l.
-1
Solve -263*q = -72*q - 2483 for q.
13
Solve 0 = 295*x - 605*x + 305*x - 10 for x.
-2
Solve 69*l = 2345 - 3035 for l.
-10
Solve 255*q - 125*q = 1718*q - 4764 for q.
3
Solve 206*s - 249 + 2309 = 0 for s.
-10
Solve -8*q = 8*q - 517 + 341 for q.
11
Solve -12350 = 448*w - 1402 + 4732 for w.
-35
Solve -34*w - 305 = -237 for w.
-2
Solve 634*x - 173 = 22017 for x.
35
Solve -111*m + 348*m + 2219 = -80*m for m.
-7
Solve 0 = 13*o - 4304 + 4434 for o.
-10
Solve -354 = 68*d + 421 + 41 for d.
-12
Solve 53858*j - 53838*j - 60 = 0 for j.
3
Solve 0 = -251*b + 1237*b - 17748 for b.
18
Solve 452*p - 7227 = -205*p for p.
11
Solve 520 = 24*b + 37*b - 9*b for b.
10
Solve 0 = 46*o + 157 - 203 for o.
1
Solve 520 = 90*v + 70 for v.
5
Solve 12528 = -126*o - 306*o for o.
-29
Solve -18*q + 39*q - q - 400 = 0 for q.
20
Solve 469*g = 353*g for g.
0
Solve 172*o + 1990 - 614 = 0 for o.
-8
Solve -58*f - 3724 = 36*f + 102*f for f.
-19
Solve 130*i - 146*i = 336 for i.
-21
Solve -5*m + 105 = 130 for m.
-5
Solve -53*b + 111*b + 480 = 28*b for b.
-16
Solve 95*k + 224*k + 108 = -211 for k.
-1
Solve 29*y - 31*y = 14 - 6 for y.
-4
Solve 26*i = 95*i + 32*i + 1515 for i.
-15
Solve 22*j + 79*j = 7*j + 470 for j.
5
Solve 1072*v + 240*v = -26240 for v.
-20
Solve 145 = -66*y - 119 for y.
-4
Solve -23*d + 9*d = -0*d - 70 for d.
5
Solve 74*z + z = -162 - 63 for z.
-3
Solve 318 + 363 = -71*u + 42 for u.
-9
Solve -3*x - 57 = 68*x + 1008 for x.
-15
Solve 0 = -186*q + 1660 + 4478 for q.
33
Solve -7*t = 66*t - 668 - 208 for t.
12
Solve 99*p + 1402 + 1658 = -71*p for p.
-18
Solve -413*c + 215*c = -223*c + 375 for c.
15
Solve -18 = -6*g - 0 + 30 for g.
8
Solve -18*v - 7754 + 8078 = 0 for v.
18
Solve -75*b - 105 = -17*b - 1961 for b.
32
Solve 1913*q = 1559*q + 2478 for q.
7
Solve -33*s = 67*s - 9*s - 819 for s.
9
Solve -2753 + 1385 = -43*r - 1454 for r.
-2
Solve 0*y - 4*y + 90 = -19*y for y.
-6
Solve 373*x = 10815 - 737 - 1126 for x.
24
Solve 26*q - 23*q + 33 + 21 = 0 for q.
-18
Solve -231 = -46*u + 505 for u.
16
Solve 116 = -84*i - 304 for i.
-5
Solve -141*p = -30*p - 43102 + 46543 for p.
-31
Solve -13*o - 5153 + 5413 = 0 for o.
20
Solve -27*n - 26*n + 212 = 0 for n.
4
Solve -51*t + 108*t + 114 = 0 for t.
-2
Solve -3203 = -103*h - 319 for h.
28
Solve -693*v + 348*v = -322*v - 138 for v.
6
Solve 678*k - 745*k = -201 for k.
3
Solve 3094 = 204*d + 17*d for d.
14
Solve 2930 = -365*w + 10595 for w.
21
Solve -55*m + 317 = 1857 for m.
-28
Solve 228642*n - 228648*n - 186 = 0 for n.
-31
Solve -2 = -5*n + 43 for n.
9
Solve -16*v + 7722 - 7546 = 0 for v.
11
Solve 0*x + 6*x = 33 - 129 for x.
-16
Solve 2382 - 2322 = -10*i for i.
-6
Solve -35 + 150 + 105 = 20*j for j.
11
Solve -519 = -194*b - 416 + 1449 for b.
8
Solve i - 6*i - 5 + 20 = 0 for i.
3
Solve -64 = -65471*u + 65479*u for u.
-8
Solve 18*a - 526 + 742 = 0 for a.
-12
Solve 0 = -26*g + 22112 - 22086 for g.
1
Solve r - 287 + 568 = 290 for r.
9
Solve -4*b - 4*b = 40 for b.
-5
Solve -26891 + 26457 = -62*l for l.
7
Solve 12 = -29*y - 19 - 27 for y.
-2
Solve 789 = 85*y + 789 for y.
0
Solve 38518 = -16*o + 38550 for o.
2
Solve 0 = -23*n + 135 + 168 - 73 for n.
10
Solve 1729 = 37*v + 54*v for v.
19
Solve -19*m = 478 - 307 for m.
-9
Solve -32225*c + 32200*c = 0 for c.
0
Solve -1924 = -266*i + 192*i for i.
26
Solve 45*n - 330 = -10*n for n.
6
Solve -896 = -101*y - 1182 - 1330 for y.
-16
Solve 582*n + 543*n = 1100*n + 400 for n.
16
Solve 0 = 212*f - 123 + 426 + 121 for f.
-2
Solve -51*m - 227*m = -105*m + 2249 for m.
-13
Solve -319 + 436 = -13*t for t.
-9
Solve 14*v = 8*v - 16*v + 484 for v.
22
Solve 3*o - 13*o + 12 - 52 = 0 for o.
-4
Solve 3098*k - 3128*k + 180 = 0 for k.
6
Solve -33*i = -124 - 173 for i.
9
Solve 0 = -5641*b + 5633*b + 64 for b.
8
Solve 382*c - 44*c - 24 = -24 for c.
0
Solve 0 = -8*p - 282 + 186 for p.
-12
Solve -68*x - 51 = -255 for x.
3
Solve 542 = -21*t - 22*t - 103 for t.
-15
Solve 5*v + 37 = -27 + 39 for v.
-5
Solve 33*r = -28*r + 19*r - 504 for r.
-12
Solve 12*h + 32 = 164 for h.
11
Solve -1159*x + 1149*x + 50 = 0 for x.
5
Solve 151*m - 5510 = 296*m for m.
-38
Solve 0 = 24*b + 1362 - 1314 for b.
-2
Solve -1415*n = -1301*n + 2850 for n.
-25
Solve 40*u + 124 = 12*u - 156 for u.
-10
Solve -225*o - 24*o - 212 = 2029 for o.
-9
Solve -29*b - 50 = 30*b - 49*b for b.
-5
Solve -335 = 7*w + 9*w - 111 for w.
-14
Solve -1643 = -156*l - 239 for l.
9
Solve 982 = 23*n - 126*n - 872 for n.
-18
Solve -2409 = -10*k - 2529 for k.
-12
Solve 2758*q = 2742*q - 128 for q.
-8
Solve -35*n = 251 - 176 + 310 for n.
-11
Solve 78*l + 293 - 1151 = 0 for l.
11
Solve 123 - 25 = 49*s for s.
2
Solve -450 = -123*n + 657 for n.
9
Solve -14*v = -17 - 67 for v.
6
Solve 129*g - 22 = 179*g + 228 for g.
-5
Solve 144*a = 213*a - 1035 for a.
15
Solve 97*m - 255 = -934 for m.
-7
Solve -21*b + 5 = -0 + 68 for b.
-3
Solve -200*v + 336*v + 952 = 0 for v.
-7
Solve 6*d = 5*d + 8*d + 21 for d.
-3
Solve -146*k + 307 - 113 = -98 for k.
2
Solve 4*q - 9*q - 3*q + 96 = 0 for q.
12
Solve -66*g = 468 + 192 for g.
-10
Solve 199*k - 136 - 11 = 220*k for k.
-7
Solve 0 = -10*v + 6419 - 6759 for v.
-34
Solve -112*c + 277*c = -165 for c.
-1
Solve -2385 + 603 = -198*t for t.
9
Solve 2146*j - 2157*j = 11 for j.
-1
Solve 1817*r + 25317 = 79827 for r.
30
Solve 902*l + 72 = 890*l for l.
-6
Solve -98*l = 10*l - 1296 for l.
12
Solve -2151*h + 2157*h = 90 for h.
15
Solve -1020 = -137*k + 239*k for k.
-10
Solve -246*s + 3528 = 48*s for s.
12
Solve -8610 + 4552 + 4610 = -24*i for i.
-23
Solve -4972 = -11*j - 5060 for j.
-8
Solve -509 = -90*z + 211 for z.
8
Solve 494 - 1390 = -106*r + 588 for r.
14
Solve 60*t = -180 - 1140 for t.
-22
Solve 0 = 144*k - 112 + 256 for k.
-1
Solve -270 = 280*g - 334*g for g.
5
Solve 4*x - 92*x - 616 = 0 for x.
-7
Solve 32*i - 21 = -25*i - 306 for i.
-5
Solve -460*f + 76*f + 1955 = 10019 for f.
-21
Solve 194*y - 12011 + 8907 = 0 for y.
16
Solve 143*x = -173*x - 3792 for x.
-12
Solve 710*c + 675 = 635*c for c.
-9
Solve 311 - 58 = 41*d - 34 for d.
7
Solve 4*p = 1 - 63 + 30 for p.
-8
Solve 0 = 149*n + 2262 + 1016 for n.
-22
Solve 0 = 94*n - 23 - 1293 for n.
14
Solve -22*g = 55*g + 359 + 103 for g.
-6
Solve 9*b = 33*b - 40 - 104 for b.
6
Solve 7823*r - 7841*r = 36 for r.
-2
Solve 1912*k - 1888*k + 216 = 0 for k.
-9
Solve 528*g = 1863 - 14535 for g.
-24
Solve -32*f = -133*f + 606 for f.
6
Solve -741*y + 764*y = -115 for y.
-5
Solve 0 = 1455*i - 1442*i + 52 for i.
-4
Solve -102*y = 110*y + 3180 for y.
-15
Solve 16*b + 438 = 120 - 34 for b.
-22
Solve 1598*u - 1934*u - 5318 - 2746 = 0 for u.
-24
Solve 360 = 191*u - 3781 - 443 for u.
24
Solve -26334 + 26325 = -o for o.
9
Solve 5*a - 7 = -25 - 27 for a.
-9
Solve -15334 = -328*b - 574*b for b.
17
Solve 680*k - 55965 = 2279*k for k.
-35
Solve 61*h - 93 - 181 = 31 for h.
5
Solve 2597 = -677*g - 18390 for g.
-31
Solve -400 + 14 = -52*r + 238 for r.
12
Solve -195*w + 3211 = 52*w for w.
13
Solve 7*k - 91 = 14*k for k.
-13
Solve -91*i = 14*i + 141*i - 1968 for i.
8
Solve 84*z + 2 + 0 = 2 for z.
0
Solve 8*l - 229*l + 4872 = 1115 for l.
17
Solve -372*w - 25 - 95 = -412*w for w.
3
Solve -360*z + 21765 = 815*z + 276*z for z.
15
Solve -416 - 48 = 76*i + 144 for i.
-8
Solve 581*c = 577 + 4 for c.
1
Solve 15871*t - 15878*t = 28 for t.
-4
Solve 626 = 33*m - 32*m + 647 for m.
-21
Solve -206 = -203*g + 234*g - 20 for g.
-6
Solve 60*s - 70*s = -262 + 202 for s.
6
Solve -4250 = -239*v - 17*v + 6*v for v.
17
Solve 122*r + 856 = 2076 for r.
10
Solve 9*d - 66*d = -912 for d.
16
Solve -32 = -64*d + 160 for d.
3
Solve -225 + 80 - 395 = 108*s for s.
-5
Solve -105*k - 8736 = 531*k + 92*k for k.
-12
Solve 0 = 131*r + 1904 - 332 for r.
-12
Solve -8*y - 2244 = 7*y - 2379 for y.
9
Solve 145*s = -94*s - 176 - 63 for s.
-1
Solve -390*t + 435*t - 1035 = 0 for t.
23
Solve -23*n - 5900 = -5440 for n.
-20
Solve 4741*k - 4725*k + 24 = 152 for
|
{
"pile_set_name": "DM Mathematics"
}
|
150
What is the n'th term of 46409647, 92819295, 139228943?
46409648*n - 1
What is the a'th term of 2523, 2503, 2485, 2469?
a**2 - 23*a + 2545
What is the i'th term of 134664686, 134664687, 134664688, 134664689, 134664690, 134664691?
i + 134664685
What is the f'th term of 683, 3070, 7145, 12908, 20359?
844*f**2 - 145*f - 16
What is the t'th term of -6300, -10126, -13952?
-3826*t - 2474
What is the b'th term of 136879, 137017, 137251, 137581, 138007, 138529?
48*b**2 - 6*b + 136837
What is the u'th term of -36590, -36510, -36296, -35882, -35202, -34190, -32780?
11*u**3 + u**2 - 36602
What is the w'th term of 10796, 21471, 32112, 42701, 53220, 63651?
-3*w**3 + w**2 + 10693*w + 105
What is the o'th term of 1191, -4197, -9585, -14973?
-5388*o + 6579
What is the m'th term of 8576, 8579, 8572, 8549, 8504?
-m**3 + m**2 + 7*m + 8569
What is the j'th term of 4174, 7748, 11330, 14920, 18518, 22124, 25738?
4*j**2 + 3562*j + 608
What is the y'th term of -24536801, -24536800, -24536799, -24536798?
y - 24536802
What is the d'th term of 112068, 448175, 1008346, 1792587, 2800904, 4033303?
d**3 + 112026*d**2 + 22*d + 19
What is the b'th term of 1173, 2686, 6801, 14820, 28045, 47778?
217*b**3 - b**2 - 3*b + 960
What is the l'th term of 155771, 311424, 467081, 622742, 778407, 934076, 1089749?
2*l**2 + 155647*l + 122
What is the i'th term of -273922, -547787, -821598, -1095355, -1369058, -1642707?
27*i**2 - 273946*i - 3
What is the m'th term of -313628, -1254301, -2822088, -5016989?
-313557*m**2 - 2*m - 69
What is the o'th term of 455966, 455968, 455972, 455978?
o**2 - o + 455966
What is the t'th term of 4083764, 4083760, 4083746, 4083716, 4083664, 4083584?
-t**3 + t**2 + 4083764
What is the c'th term of 457, 1786, 3997, 7090, 11065, 15922?
441*c**2 + 6*c + 10
What is the v'th term of 3392663, 6785058, 10177451, 13569842, 16962231, 20354618, 23747003?
-v**2 + 3392398*v + 266
What is the m'th term of -38002, -147565, -330170, -585817, -914506, -1316237, -1791010?
-36521*m**2 - 1481
What is the h'th term of 1300, 2783, 5260, 8731, 13196?
497*h**2 - 8*h + 811
What is the k'th term of 2558, 20460, 69086, 163796, 319950, 552908, 878030, 1310676?
2560*k**3 + 2*k**2 - 24*k + 20
What is the r'th term of 141362, 282773, 424180, 565583, 706982, 848377?
-2*r**2 + 141417*r - 53
What is the n'th term of 21719, 43972, 66225, 88478, 110731?
22253*n - 534
What is the u'th term of 16337, 31729, 47121, 62513, 77905, 93297?
15392*u + 945
What is the s'th term of 29403491, 29403486, 29403481?
-5*s + 29403496
What is the a'th term of 5313, 11209, 17689, 24753?
292*a**2 + 5020*a + 1
What is the o'th term of 27865, 27844, 27783, 27664, 27469, 27180, 26779, 26248?
-3*o**3 - 2*o**2 + 6*o + 27864
What is the c'th term of 104067069, 104067068, 104067067?
-c + 104067070
What is the d'th term of -2913542, -5827076, -8740606, -11654132, -14567654?
2*d**2 - 2913540*d - 4
What is the k'th term of 662, 556, 424, 254, 34, -248, -604, -1046?
-2*k**3 - k**2 - 89*k + 754
What is the i'th term of 4528760, 18115034, 40758824, 72460130, 113218952, 163035290, 221909144?
4528758*i**2 + 2
What is the w'th term of 4298, 4508, 4862, 5360?
72*w**2 - 6*w + 4232
What is the b'th term of 8752, 8734, 8728, 8746, 8800, 8902, 9064?
2*b**3 - 6*b**2 - 14*b + 8770
What is the c'th term of 1366, 4816, 10654, 18880?
1194*c**2 - 132*c + 304
What is the l'th term of -2215, -2110, -2005, -1900, -1795, -1690?
105*l - 2320
What is the z'th term of -521, -1182, -1951, -2822, -3789, -4846, -5987, -7206?
z**3 - 60*z**2 - 488*z + 26
What is the c'th term of 405981, 405843, 405703, 405561?
-c**2 - 135*c + 406117
What is the t'th term of 4314881, 4314887, 4314895, 4314905, 4314917, 4314931, 4314947?
t**2 + 3*t + 4314877
What is the g'th term of 3024, 9801, 21126, 36999, 57420, 82389, 111906?
2274*g**2 - 45*g + 795
What is the f'th term of 24962, 99924, 224880, 399848, 624846, 899892?
3*f**3 + 24979*f**2 + 4*f - 24
What is the v'th term of 1068, 1100, 1136, 1176, 1220, 1268, 1320?
2*v**2 + 26*v + 1040
What is the r'th term of -53337725, -53337724, -53337723, -53337722?
r - 53337726
What is the k'th term of 1205, 2500, 3923, 5474, 7153?
64*k**2 + 1103*k + 38
What is the q'th term of -15962, -20684, -25406, -30128, -34850, -39572?
-4722*q - 11240
What is the c'th term of -3023, -9714, -20849, -36428?
-2222*c**2 - 25*c - 776
What is the r'th term of 1411121, 5644428, 12699939, 22577654, 35277573?
1411102*r**2 + r + 18
What is the u'th term of -78069058, -78069056, -78069054, -78069052, -78069050?
2*u - 78069060
What is the u'th term of 697, 3020, 9453, 22048, 42857?
342*u**3 + 3*u**2 - 80*u + 432
What is the w'th term of -40610, -158410, -354736, -629588, -982966, -1414870?
-39263*w**2 - 11*w - 1336
What is the u'th term of 1106, 1283, 1460, 1637, 1814?
177*u + 929
What is the o'th term of 59356, 118582, 177808, 237034, 296260, 355486?
59226*o + 130
What is the h'th term of -7151, -27991, -62725, -111353, -173875?
-6947*h**2 + h - 205
What is the b'th term of 14891, 15871, 16851?
980*b + 13911
What is the d'th term of 5632898, 5632896, 5632894, 5632892?
-2*d + 5632900
What is the z'th term of -191601, -383297, -574993, -766689, -958385?
-191696*z + 95
What is the x'th term of 239884, 239814, 239744, 239674, 239604, 239534?
-70*x + 239954
What is the x'th term of 40839, 80199, 119557, 158913, 198267, 237619?
-x**2 + 39363*x + 1477
What is the c'th term of -4446, -8953, -13472, -17997, -22522, -27041, -31548?
c**3 - 12*c**2 - 4478*c + 43
What is the r'th term of -881, -6011, -19921, -46997, -91625, -158191?
-731*r**3 - 4*r**2 - r - 145
What is the s'th term of -1089198, -2178289, -3267380, -4356471, -5445562?
-1089091*s - 107
What is the h'th term of -1898, -7092, -15638, -27536?
-1676*h**2 - 166*h - 56
What is the c'th term of 41683, 82733, 123773, 164797, 205799, 246773, 287713, 328613?
-c**3 + c**2 + 41054*c + 629
What is the q'th term of 88, 150, 202, 232, 228, 178, 70?
-2*q**3 + 7*q**2 + 55*q + 28
What is the k'th term of -9841, -39704, -89613, -159568?
-10023*k**2 + 206*k - 24
What is the b'th term of 8601, 8192, 7507, 6546, 5309, 3796, 2007?
-138*b**2 + 5*b + 8734
What is the f'th term of -235857, -482291, -728715, -975123, -1221509?
f**3 - f**2 - 246438*f + 10581
What is the m'th term of -1342, -3165, -5120, -7201, -9402?
m**3 - 72*m**2 - 1614*m + 343
What is the g'th term of -719, 317, 3149, 8677, 17801?
150*g**3 - 2*g**2 - 8*g - 859
What is the i'th term of -1941, 2239, 9235, 19047, 31675, 47119?
1408*i**2 - 44*i - 3305
What is the q'th term of 367169, 734396, 1101623?
367227*q - 58
What is the x'th term of 4178802, 8357597, 12536392?
4178795*x + 7
What is the h'th term of 384, 824, 1840, 3690, 6632, 10924, 16824, 24590?
43*h**3 + 30*h**2 + 49*h + 262
What is the z'th term of -49348, -48636, -47924?
712*z - 50060
What is the z'th term of -8075, -15806, -23191, -30230, -36923, -43270, -49271?
173*z**2 - 8250*z + 2
What is the g'th term of -10926, -10802, -10686, -10578, -10478, -10386, -10302?
-4*g**2 + 136*g - 11058
What is the a'th term of -2608, -8571, -17906, -30613, -46692?
-1686*a**2 - 905*a - 17
What is the q'th term of -537, -5269, -18209, -43491, -85249, -147617, -234729, -350719?
-689*q**3 + 30*q**2 + q + 121
What is the u'th term of -2998976, -2999020, -2999064, -2999108, -2999152?
-44*u - 2998932
What is the v'th term of 6052, 24233, 54534, 96955?
6060*v**2 + v - 9
What is the q'th term of 102736, 102704, 102704, 102742, 102824, 102956, 103144?
q**3 + 10*q**2 - 69*q + 102794
What is the d'th term of -13796839, -27593676, -41390513, -55187350?
-13796837*d - 2
What is the c'th term of 90967251, 90967247, 90967241, 90967233?
-c**2 - c + 90967253
What is the h'th term of 51, 2243, 6573, 13041, 21647, 32391?
1069*h**2 - 1015*h - 3
What is the b'th term of 1642, 1780, 2050, 2452, 2986, 3652, 4450?
66*b**2 - 60*b + 1636
What is the n'th term of 5784459, 5784458, 5784457, 5784456?
-n + 5784460
What is the a'th term of -117918, -235828, -353732, -471630?
3*a**2 - 117919*a - 2
What is the q'th term of 22, 1087, 3932, 9433, 18466, 31907, 50632?
146*q**3 + 14*q**2 + q - 139
What is the u'th term of 120547, 120574, 120601, 120628?
27*u + 120520
What is the t'th term of -190145, -189969, -189789, -189605, -189417, -189225, -
|
{
"pile_set_name": "DM Mathematics"
}
|
-3
Let m be 16/2 + 7/((-49)/28). Let u(z) = z + 17. Let i be u(-15). Sort 6, 3, m, i in descending order.
6, m, 3, i
Let n = 149.6 + -150.1. Let r be (16/(-84))/((-2)/(-3)). Put 11, n, r, 6/5 in decreasing order.
11, 6/5, r, n
Let o(z) = z**3 + 4*z**2 - 13*z - 1. Let q be 156/(-27)*1 - (-2)/(-9). Let y be o(q). Sort 2, 3/2, -4, y.
-4, 3/2, 2, y
Let l(c) = -5*c. Let f be l(1). Let u be (9/(-12))/((-3)/(-12)). Put u, -4, f in decreasing order.
u, -4, f
Suppose -48*f = -12*f - 36. Put 6, 3, -1, f in decreasing order.
6, 3, f, -1
Suppose -11 + 61 = 25*m. Sort 35, m, -7 in descending order.
35, m, -7
Let o(d) = d**3 - 19*d**2 - 20*d + 4. Let v be o(20). Suppose -6*z - v = -10. Sort -2, 8, z.
-2, z, 8
Let q = -178 + 181. Sort q, -5, 4, -3 in decreasing order.
4, q, -3, -5
Let h = 570 + -566. Let z = 4.94 - -0.06. Put z, h, -2 in decreasing order.
z, h, -2
Suppose -4*d + z - 2 + 0 = 0, 2*d - 2 = 2*z. Put 1, 2, d, 3 in descending order.
3, 2, 1, d
Suppose -2*q + 264 = 3*c - c, 264 = 2*q - 2*c. Put 1/2, q, -1 in descending order.
q, 1/2, -1
Let j = -39/4 - -10. Let c = 4/23 - 82/207. Put -1/3, c, j in increasing order.
-1/3, c, j
Let p = -2883 + 2886. Sort -303, 1, p in descending order.
p, 1, -303
Suppose 0 = -3*i + 5*n - 68, 4*n + 78 = 82. Sort 0.5, i, -0.1 in decreasing order.
0.5, -0.1, i
Suppose 3*j = 4*j, 3*s + j = -33. Let b = 3 - 3. Suppose -4*o = k + 12, b*k - 16 = -o - 5*k. Put s, o, -1 in decreasing order.
-1, o, s
Let s be 6 + -3 + 1 + -2. Let x be s - 4 - -3 - -4. Let d = -6 + x. Sort d, -4, -5 in ascending order.
-5, -4, d
Suppose 0*y + 3*y + 15 = 0. Let t be (18/15)/((3/(15/20))/10). Sort t, y, -3 in increasing order.
y, -3, t
Let u be 18/(-36) - (-38)/(-4). Put u, 2, -3, -5 in increasing order.
u, -5, -3, 2
Let w be (1 - 3) + 3 - 70/22. Let a = 238/99 + w. Put -4, -5, a in descending order.
a, -4, -5
Let y = -773 + 549. Let l be (24/y)/((-2)/(-8)). Sort -1, 1, l.
-1, l, 1
Suppose 0 = k - 2*k + 40. Suppose -3*t + 5*z - k = 2*t, 2*t + 3*z = 4. Put 5, -5, 4, t in decreasing order.
5, 4, t, -5
Let a = -0.23 + 0.13. Let b = -0.231 + -9.769. Put a, b, -2/7 in increasing order.
b, -2/7, a
Suppose -18*u - 2220 - 333 = 51*u. Suppose -4*r - 1 = -h, 2*h = 6*h + 12. Sort 3, -2, u, r in ascending order.
u, -2, r, 3
Let b = -63.7 - -61. Let m = b - -3. Let n = -1.759 - -2.159. Sort m, n, 0 in descending order.
n, m, 0
Let o be -145 + 143 + (-10)/(-4)*2. Put -5, -16, 5, o in descending order.
5, o, -5, -16
Let f = 15 - 24. Let y = f + 32. Let u = y - 27. Sort u, 0.4, 0.5 in increasing order.
u, 0.4, 0.5
Let y = -0.3 - 1. Let w = -0.3 - y. Suppose 5*a = z + 18 + 11, 0 = 4*z + 16. Sort 1/7, w, a in descending order.
a, w, 1/7
Let k be 5 - ((-8)/(-2) - 2). Suppose 0*p - 4*z + 42 = -p, 4*p + 98 = 2*z. Let i = p - -19. Put i, k, 1 in increasing order.
i, 1, k
Let x(p) = -5*p + 59. Suppose -3*s + 25 = -8. Let w be x(s). Suppose 4*l + 9 + 11 = 0. Sort w, l, 1 in ascending order.
l, 1, w
Let s = -17 + 10. Let w be 12/60 + (2 - 72/10). Put -1, s, w in increasing order.
s, w, -1
Let w be 3*(8 + -6) - 7. Put -4, w, 169, 3 in decreasing order.
169, 3, w, -4
Let c be ((-5)/(-4))/((-21)/(-84)). Put 0, c, 2, -11 in decreasing order.
c, 2, 0, -11
Let u be 7 - (2 - 0)*1. Let f(x) = -3*x**3 + 2*x**3 - 8 - 6*x - 2*x**2 + 10 + 8*x**2. Let o be f(u). Sort 0, o, 4 in decreasing order.
4, 0, o
Suppose 0 = 2*z + x, -3*z + 5*x - 2*x = 0. Suppose -3*p - 3*n - 81 = z, 5*n - 123 = 5*p + 6*n. Sort 0, p, 5 in ascending order.
p, 0, 5
Let l = -2/15 - -7/15. Put l, -4, -0.5, -1/4 in descending order.
l, -1/4, -0.5, -4
Let m(h) = -h - 9. Let t be m(-9). Let r = 179 + -898/5. Sort r, t, 5 in descending order.
5, t, r
Let l = 16 + 8. Let s = l - 24.2. Let w = 76 + -78. Sort s, w, -0.1 in ascending order.
w, s, -0.1
Let n = 171 + -168. Sort 3/7, n, -13/5.
-13/5, 3/7, n
Let f = -986 + 986. Put f, 39, 1 in descending order.
39, 1, f
Let y be (264/(-33) - 1*2)/(-2). Sort y, 4, 0, 1/4 in descending order.
y, 4, 1/4, 0
Suppose -8*k + 3*k = 0. Suppose 15 = o + 2*o. Let u = 19 + -16. Put o, k, u in increasing order.
k, u, o
Let t(x) = -x**3 - 12*x**2 + 2*x + 22. Let b be t(-12). Let a = 0.3 - 0.4. Sort -16, a, b in ascending order.
-16, b, a
Let u = 1.5 - 1. Let a = 12 - 11.1. Let t = u - a. Sort t, -3, -0.1.
-3, t, -0.1
Let o = -0.21 - 0.29. Let v = 370 - 384. Put o, 2/9, v in increasing order.
v, o, 2/9
Let b be (-3 - -2)/((-7)/2). Let w be (216/(-7))/4 - -1. Let i = w - -46/7. Sort i, 0.3, b in descending order.
0.3, b, i
Let j = 238 + -187. Sort -4, 4, j.
-4, 4, j
Let k = -1 + 1. Suppose -21 = 3*f - 3*s, 0 = 2*s - 4 - 2. Let q be f/7*490/(-28). Put k, -2, q in decreasing order.
q, k, -2
Let c = -635 - -388. Let w = 249 + c. Let o be ((-4)/(-95))/(4/10). Sort w, -2/7, o.
-2/7, o, w
Let b = 1.6 - 0.6. Let m = -1347/10 + 135. Sort -0.3, m, b.
-0.3, m, b
Let x be 8/(-16) + 0/2. Let b = -211.7 - -212. Sort 0.1, -2, x, b in decreasing order.
b, 0.1, x, -2
Let s(a) = -3*a - 11. Let g be s(-6). Sort g, -0.4, -0.6 in decreasing order.
g, -0.4, -0.6
Suppose -3*q + 5 = -4. Let v be (q - (8 - 3)) + 1. Put 9, v, 4 in descending order.
9, 4, v
Let u = 0.6537 - -0.0463. Sort u, -12, 0.
-12, 0, u
Let k = -3 - -7. Suppose -2*s = -j, k*s - 2 = 3*j - 0. Sort -2, -6, s in increasing order.
-6, -2, s
Let o = -724.08 + 724. Sort -4, 5, 2, o in descending order.
5, 2, o, -4
Let s = 21 - 12. Let l = -12 + s. Let h = -0.2 + -0.1. Sort l, -0.1, h in ascending order.
l, h, -0.1
Let f = 561 + -828. Put 5, 0, f in increasing order.
f, 0, 5
Let r = 5 + -3. Let n(s) = -s**2 + 19*s - 78. Let q be n(13). Put q, r, 1 in ascending order.
q, 1, r
Let u = -0.01 + -4.99. Let w(p) be the second derivative of -p**4/6 - 5*p**3/3 - 3*p**2/2 - 6*p. Let j be w(-5). Put u, j, -0.5 in increasing order.
u, j, -0.5
Suppose -152*d + 143*d = -9. Sort -11, -8, d, -3 in descending order.
d, -3, -8, -11
Suppose -3*m + 23 = 5*c, -5*m + 29 = 4*c + 8. Let w be (-3 - -4 - -3)/(-1). Let u(r) = -r - 11. Let d be u(-6). Sort d, w, c.
d, w, c
Let b be (2/(-8))/(279/(-24) + 7). Sort -0.5, -2/5, b.
-0.5, -2/5, b
Let c = 3 + -3. Let u(j) = -15*j**3 + 2*j**2 + 2*j + 1. Let s be u(-1). Suppose -21*w + s = -47. Sort c, w, -0.2.
-0.2, c, w
Let b = -121 - -121. Put b, -0.1, 1, -0.3 in descending order.
1, b, -0.1, -0.3
Let b = -3 - -4. Sort 2/7, b, -2/75, -5 in descending order.
b, 2/7, -2/75, -5
Let s = 0 + 16. Suppose -s*n = -21*n + 25. Sort -4, 4, 6, n in decreasing order.
6, n, 4, -4
Let p = 15 - 15. Suppose p*a + 3*a = -15. Let r = -5 + 3. Put r, a, 1 in ascending order.
a, r, 1
Let r be -4 - -4*(3 + (-14)/4). Sort 0, r, 5 in increasing order.
r, 0, 5
Let g be (-2691)/(-15) + 3 - (-2)/(-1). Let v = g - 181. Sort v, 3/5, -1 in decreasing order.
3/5, v, -1
Suppose -z + 6*z = 2*j + 17, -12 = -3*z + 3*j. Suppose -3*t - 6 = -2*p + 15, -9 = -3*p. Suppose -y - 3 = -4*y. Put y, z, t in increasing order.
t, y, z
Suppose 3*g - 4 = -4*c - 23, -5*c - 22 = 2*g. Put 0.02, -2, g in decreasing order.
0.02, g, -2
Let f = -94.8 + -0.2. Let o = 106.85 + f. Let a = -0.15 - o. Sort a, 2/3, 1 in decreasing order.
1, 2/3, a
Let g be (-2*(-4)/(-40))/(9/(-10)). Sort -2/11, 3, -1/2, g in ascending order.
-1/2, -2/11, g, 3
Let m = -17 + -27. Let k = 43.6 + m. Sort 0.1, k, 29.
k, 0.1, 29
Suppose 5*y - 4*h + 2*h + 1836 = 0, -4*h - 1452 = 4*y. Let t = 6220/17 + y. Let u = -4.08 - -0.08. Sort u, t, 0.
u, t, 0
Let z(t) = t**2 + 9*t + 10. Let a be z(-7). Let m be 15/(-10) + (-3)/6. Let w be -3*(1 + -4 - 1*m). Put 5, w, a in decreasing order.
5, w, a
Let j(k) = 14*k + 6. Let l be j(3). Sort l, 3, 1 in ascending order.
1, 3, l
Let t = -0.33 - -10.33. Sort -1/4, 0.4, t.
-1/4, 0.4, t
Suppose -5*j + 5 = -145. Suppose i + j = 11*i. Put -2, 5, i in increasing order.
-2, i, 5
Let w = 312 + -307. Let t be -1 - 3/9*3. Let y = -6 - t. Sort -5, y, w in decreasing order.
w, y, -5
Let n be (-1 - 5)*(-6)/(-4). Let z be 4/(-3)*n/2. Let d = z - 7. Sort -3, d, 2 in descending order.
2, d, -3
Suppose b + 36 = 5*f, -3*b + 44 = 3*f + f. Let o be 3/9*(-1 - f). Put -2, 0, 3, o in descending order.
3, 0, -2, o
Let n = -5.168 - -0.168. Put n, -4, 0.1, -12 in decreasing order.
0.1, -4, n, -12
Suppose 5*u = u - 2*z - 14, 11 = -3*u - 2*z. Let b(q) = -3*q - 32. Let o be b(-9). Sort u, o, 0.
o, u, 0
Let g(x)
|
{
"pile_set_name": "DM Mathematics"
}
|
5*v - j + 17 = 0, -v = v + 2*j + 2. Let u be 1/((-2)/(-1) + v). Is 5/(10/12) - u a prime number?
True
Suppose 0 = -7*p + 4*p + 483. Is p prime?
False
Suppose c + 19 = -127. Let f = c - -243. Let r = f + -66. Is r a composite number?
False
Is (3 - 82)/(3 + -4) prime?
True
Suppose -k - 4*k + 15 = 0. Suppose k*f = 4 + 5. Is (-6)/(-3) + (11 - f) a composite number?
True
Suppose 5*l + 4 - 19 = 0. Is 95*(4 - (l + 0)) prime?
False
Let g = 53 - 38. Is g prime?
False
Let m be (15/12)/((-2)/8). Let a = 24 + m. Is a a prime number?
True
Let j(h) = -h**3 + 13*h**2 - 2*h - 11. Is j(10) a prime number?
True
Let s = 186 + -341. Suppose 4*q - 1430 = -4*g - g, -5*q - 4*g = -1792. Let h = s + q. Is h a prime number?
False
Let f(m) = 244*m. Let t be f(-1). Let c = -161 - t. Is c a composite number?
False
Suppose -24 = 5*r + 2*h, 2*r - h + 10 + 5 = 0. Let v(f) = -4*f - 2. Is v(r) prime?
False
Suppose t - 43 = 120. Is t a prime number?
True
Let a be 1 + -1 + -1 + -51. Let j = 89 + a. Is j a prime number?
True
Suppose p - 2*p = 1. Let d be 3 - (p*4)/2. Suppose -56 = -o - d*u - 12, -96 = -2*o - 2*u. Is o a prime number?
False
Suppose f - 10 = -4*f. Is (f - 0)/(4/502) prime?
True
Let q(u) = u**2 + 8*u + 1. Let h be q(-7). Let n(k) = -k**2 - 7*k - 2. Let p be n(h). Suppose -p*z + 36 = b, -13 = -2*z + 4*b + 5. Is z a prime number?
False
Suppose -2*c + 4891 = 5*o + c, -o - 3*c = -983. Is o prime?
True
Suppose -4*v - 4*u + 83 = u, -2*u = -v + 11. Suppose -4*a = w - 17, -v = -3*a + 2*w - 7*w. Suppose l + 2*o + 94 = 5*l, -4*o - 96 = -a*l. Is l prime?
True
Let a = -12 - -15. Suppose 5*l - a*n - 24 = -9, 5*n - 3 = -l. Is l prime?
True
Let d(f) = -2*f - 8. Let k be d(11). Let s be k/2*-1 - -3. Suppose j - s = 3. Is j a composite number?
True
Let i(u) = 2*u**2 + 4*u + 5. Let j be (15/6)/((-3)/6). Is i(j) composite?
True
Let v(c) = 13 + 8*c + 0*c**2 - c**2 + 3*c**2. Is v(10) a prime number?
True
Let h(z) = z**3 - 13*z**2 - z + 5. Let g(c) = -3*c**3 + 38*c**2 + 3*c - 15. Let k(r) = 6*g(r) + 17*h(r). Let u = -7 - -13. Is k(u) a composite number?
False
Suppose 2*f - 6 = f. Is (-6)/(-9)*2655/f prime?
False
Let h(i) = 197*i - 14. Is h(9) a prime number?
True
Is 1/(-4*2/(-184)) a prime number?
True
Let n(r) = -r**3 + r**2 - 6*r + 1. Let k be n(-8). Suppose -4*f + k = 5*o, -2*o + 152 = f - 5*o. Is f prime?
False
Let g(d) = -d**3 + 6*d**2 + 5. Let k be g(6). Suppose k*h - 214 = 126. Let l = -42 + h. Is l prime?
False
Suppose 46316 = 47*j - 43*j. Is j composite?
False
Let w(b) be the third derivative of -b**6/120 - b**5/5 + b**4/12 + 8*b**3/3 + 2*b**2. Is w(-13) a composite number?
True
Suppose 2*q + 4 = 2. Let z = q + -5. Is ((-105)/z)/(2/4) composite?
True
Let l = -70 - -219. Is l a composite number?
False
Suppose -66 = -g + 17. Suppose 106 = -2*r + 8. Let o = r + g. Is o composite?
True
Suppose 8*j - 3*j + 23 = 3*a, -4*a = -2*j - 54. Suppose 4 = -d + a. Is d/8 + 71/2 a composite number?
False
Suppose 7*z - 3*z = 348. Is z a composite number?
True
Let b = -35 + 3. Let w = -130 - -229. Let p = w + b. Is p a prime number?
True
Suppose -j - 5 = -6*j. Is (229 - 3)/(j*2) composite?
False
Suppose -1 = 4*p - 9. Suppose a = -q - 3*a + 218, -1156 = -5*q + p*a. Suppose 0 = -d - 3*m + 101, 0*d + 2*d - m = q. Is d a prime number?
True
Let l(g) = 49*g + 1. Let s be l(2). Suppose 6*o - i = 3*o + 20, -10 = 2*i. Suppose 0*h = -o*c - h + 102, -2*h + s = 5*c. Is c prime?
False
Let a = -280 + 51. Let g be (-1 - (1 + -1))*a. Suppose 2*z = 4*s - 234, 4*s - g = -0*s - 3*z. Is s composite?
True
Let q(f) = -f**3 + 7*f**2 + 8*f + 4. Let i be q(8). Is (-56)/(-12) - i/6 composite?
True
Suppose -72 - 72 = 3*g. Let l = g + 101. Is l composite?
False
Let y(h) = h**3 - 5*h**2 - 8*h - 3. Let c be 0 + -1 + 0 + 6. Let t be (-64)/(-10) + 3/c. Is y(t) composite?
True
Suppose 1170 = 5*j - 695. Is j composite?
False
Let w = 4489 + -3024. Is w prime?
False
Let i = 408 + -222. Suppose -49 = -2*x + 5*p + i, -3*x - 2*p + 362 = 0. Suppose z = -z - 4, 4*w + 2*z - x = 0. Is w composite?
False
Let y be 3/((-9)/78)*-1. Suppose 114 = 4*u - y. Is u composite?
True
Suppose -257 = -4*b + 311. Suppose -90 - b = -2*j. Let o = 205 - j. Is o prime?
True
Suppose -576 = -4*q + 6*p - 2*p, -4*q = -3*p - 574. Suppose -5*y - h = -188, -q = 3*y - 7*y - 5*h. Is y composite?
True
Suppose -y = y + 36. Let i be 12*((-52)/16 + 0). Let r = y - i. Is r a composite number?
True
Let d(l) = 2*l**3 - 10*l**2 + 7*l + 5. Is d(6) a prime number?
False
Let g = -10 - -16. Suppose -g*r + r = -385. Is r a composite number?
True
Suppose h - 13 = 2*h. Let d = h - -27. Is d prime?
False
Let y = 2 - 16. Let r be 0 + 1 + 3 + 29. Let n = y + r. Is n a prime number?
True
Is (1/1*-1)/((-33)/8382) prime?
False
Let q(m) = 6*m - 3. Let l be (8/14)/((-4)/(-14)). Let c be (-40)/(-5) - l/2. Is q(c) composite?
True
Let n be (-28)/(-42) + 4/3. Suppose 2*j = -n*j + 1276. Is j prime?
False
Suppose -128 - 50 = -2*z. Is z a composite number?
False
Suppose -4*y = -3*b - 1095, 2*y + 0*b - 548 = 2*b. Let c = y + -146. Is c a prime number?
True
Let k(q) = q**3 - 9*q**2 - 4*q + 2. Let m be 4*1*10/4. Is k(m) a prime number?
False
Let j(o) = 10*o**2 - 3*o + 2. Suppose 0 = -n + 3 - 1. Let c be j(n). Let a = c - -53. Is a composite?
False
Suppose -2*f + 243 = f. Suppose -2*o + 72 = a + 2*a, 3*a = o + f. Is a composite?
True
Let b = 250 + -37. Is b composite?
True
Let h = 5 - 4. Let q be h + -3 - (-15 + 1). Let z = -8 + q. Is z a composite number?
True
Suppose -5*b = -0*b - 155. Is b prime?
True
Suppose -3*k = 5*p - 529, -2*p + 226 - 30 = -4*k. Let u = 4 + -3. Is 1/(p/(-106) + u) prime?
True
Let w(r) = 8*r**2 + 6*r + 2. Let z be w(-4). Let a = -20 - -9. Let o = z + a. Is o a composite number?
True
Let w(a) be the third derivative of a**7/2520 + a**6/120 + a**5/30 - a**4/24 - 3*a**2. Let t(i) be the second derivative of w(i). Is t(-6) a composite number?
True
Let q(t) = 10*t**2 + 1 + 2*t**3 + 5*t + 0 - t**3. Let h = -11 - -3. Is q(h) a prime number?
True
Let n = -76 - -127. Is n prime?
False
Let c(v) = 21*v**2 - 2*v - 1. Let p(a) = 5*a**2 - a. Let q be p(1). Let m = -5 + q. Is c(m) a composite number?
True
Suppose -2*o + 3*o = -4*u + 1093, 2*o = 5*u - 1363. Suppose -4*m = 3*g - u, 4*m + 45 = g - 62. Is g a prime number?
False
Let k = 3001 - 1902. Is k a composite number?
True
Let w(a) = -4*a**3 + a**2. Let l be ((-1)/2)/((-3)/(-6)). Let n be w(l). Suppose 5*m - 450 = -n*d, 0*m - 2*m - 105 = -d. Is d a prime number?
False
Let u(o) be the third derivative of -o**7/840 + o**6/45 - o**5/30 - o**3/2 + o**2. Let k(z) be the first derivative of u(z). Is k(5) a composite number?
True
Suppose 15 = 22*v - 17*v, 2*v = -4*g + 818. Is g a composite number?
True
Let f = -2897 + 4090. Is f prime?
True
Let p = -534 - -915. Is p a prime number?
False
Is 18/6 + 913 + 3 a prime number?
True
Let y(j) = 6*j - 3. Let a = 9 + -3. Is y(a) a prime number?
False
Suppose -a + 6*a - 10 = 0. Let j(f) = 2*f**a - f**2 + f - 5 + 0. Is j(-7) a prime number?
True
Let w(r) = r**3 + r**2 + 1. Let g be w(-2). Let l be ((-4)/g)/(2/858). Suppose 3*t + 168 = 5*b - 531, 0 = 4*b + 4*t - l. Is b prime?
False
Suppose t - 4 = 3. Suppose -k + b + t = 0, -k - 1 = -b + 2*b. Suppose -3*x + 9 = -3*f - 69, k*f = 5*x - 122. Is x a prime number?
False
Let m be (-8)/6 + 2/6. Is 452/(-2)*m/2 a composite number?
False
Let t be ((-2)/(-2))/((-1)/(-86)). Suppose -n + 69 + t = 0. Suppose -7*c + 2*c = -n. Is c prime?
True
Is (-12 + -6854)*(-2)/4 a composite number?
False
Let a be (-15)/(12/(-8)*1). Suppose 13*v - 573 = a*v. Is v prime?
True
Let y = -50 + 71. Is y composite?
True
Let g(o) = o + 4. Let x be g(-4). Let u be (-6)/3 + x + 180. Is (-1 - 3)*u/(-8) composite?
False
Let t be (2/(-4))/((-3)/786). Let i(a) = a + 10. Let q be i(-18). Is (t*2)/(q/(-4)) prime?
True
Suppose 12 = -3*l, 4*t = -t - 3*l + 1583. Is t composite?
True
Let s be (-24)/(-10) - (-4)/(-10). Suppose -4*q - p + 4 = 0, 2*q + 7 + 1 = s*p. Suppose -t + q*t = -25. Is t prime?
False
Suppose 1725 = 4*n + 5*w, -928 = -2*n + 2*w - 88. Suppose 6*r - n = r. Is r composite?
True
Let s = -528 - -761. Suppose -109 = -2*p + 5*i, -p - 3*p + s = 5*i. Is p a prime number?
False
Suppose 0 = 4*p - 3*m - 15, -2*p - 5*m = p + 25. Let x = 13 + p. Is x a composite number?
False
Let i be 272 - (-1
|
{
"pile_set_name": "DM Mathematics"
}
|
12 and 204?
12
Calculate the greatest common factor of 39 and 247.
13
What is the greatest common factor of 366 and 50325?
183
What is the greatest common divisor of 40 and 180?
20
Calculate the highest common divisor of 2034 and 72.
18
Calculate the greatest common divisor of 1772 and 12.
4
Calculate the greatest common divisor of 968 and 256.
8
Calculate the greatest common factor of 2 and 193.
1
What is the greatest common factor of 146 and 1241?
73
Calculate the greatest common divisor of 2323 and 23.
23
What is the greatest common factor of 102 and 544?
34
What is the greatest common factor of 102541 and 61?
61
What is the highest common divisor of 692 and 8?
4
Calculate the greatest common factor of 40 and 7570.
10
What is the greatest common divisor of 40 and 50?
10
What is the highest common divisor of 495 and 45?
45
What is the highest common factor of 19 and 38?
19
What is the greatest common factor of 425 and 493?
17
Calculate the greatest common factor of 30 and 195.
15
What is the highest common divisor of 13 and 46761?
13
Calculate the greatest common divisor of 66 and 66.
66
What is the highest common divisor of 189 and 1575?
63
What is the greatest common divisor of 1 and 43?
1
Calculate the greatest common factor of 2701 and 74.
37
Calculate the highest common factor of 25462 and 174.
58
What is the highest common divisor of 64 and 82?
2
Calculate the highest common divisor of 63 and 10080.
63
Calculate the greatest common factor of 410 and 246.
82
What is the greatest common divisor of 480 and 270?
30
Calculate the greatest common factor of 14 and 448.
14
What is the greatest common divisor of 4401 and 27?
27
What is the highest common factor of 350 and 7150?
50
Calculate the greatest common divisor of 180 and 580.
20
What is the greatest common divisor of 344 and 8?
8
Calculate the greatest common factor of 2159 and 1651.
127
What is the highest common divisor of 753 and 3?
3
What is the highest common factor of 130 and 240?
10
What is the greatest common divisor of 143 and 220?
11
Calculate the greatest common factor of 58360 and 40.
40
Calculate the greatest common divisor of 10426 and 104.
26
Calculate the greatest common factor of 110 and 170.
10
What is the highest common factor of 232 and 8?
8
Calculate the highest common divisor of 7 and 133.
7
What is the greatest common divisor of 9387 and 126?
63
Calculate the highest common divisor of 129 and 3.
3
Calculate the greatest common factor of 28 and 24164.
28
What is the highest common divisor of 147 and 14?
7
Calculate the greatest common divisor of 33 and 1199.
11
What is the greatest common divisor of 150 and 10500?
150
Calculate the highest common divisor of 22 and 869.
11
What is the highest common divisor of 32 and 512?
32
Calculate the greatest common factor of 44 and 132.
44
What is the highest common factor of 3364 and 116?
116
What is the highest common factor of 1953 and 441?
63
Calculate the highest common factor of 69 and 299.
23
Calculate the highest common divisor of 104 and 351.
13
Calculate the highest common divisor of 41451 and 123.
123
What is the highest common factor of 55 and 385?
55
What is the highest common divisor of 18 and 22?
2
Calculate the greatest common divisor of 57 and 4541.
19
Calculate the highest common divisor of 156 and 144.
12
What is the highest common factor of 143 and 440?
11
Calculate the highest common divisor of 1476 and 54.
18
What is the highest common divisor of 1648 and 16?
16
Calculate the highest common factor of 651 and 21.
21
What is the highest common divisor of 56 and 32?
8
Calculate the greatest common divisor of 59186 and 202.
202
Calculate the greatest common factor of 184 and 46.
46
Calculate the greatest common factor of 3737 and 202.
101
What is the highest common factor of 270 and 2475?
45
Calculate the highest common divisor of 414 and 3.
3
Calculate the highest common factor of 71 and 1633.
71
Calculate the greatest common divisor of 256 and 24.
8
What is the highest common divisor of 17 and 8347?
17
Calculate the greatest common factor of 261 and 3161.
29
Calculate the highest common divisor of 31644 and 108.
108
Calculate the greatest common divisor of 11819 and 223.
223
What is the highest common factor of 704 and 144?
16
What is the highest common factor of 168 and 20328?
168
Calculate the greatest common factor of 1680 and 350.
70
What is the greatest common factor of 1512 and 8?
8
Calculate the greatest common factor of 147 and 7.
7
Calculate the greatest common divisor of 1073 and 444.
37
What is the greatest common divisor of 30 and 240?
30
Calculate the greatest common factor of 96 and 29472.
96
Calculate the greatest common divisor of 1364 and 44.
44
What is the highest common factor of 8449 and 119?
119
Calculate the highest common factor of 162 and 864.
54
Calculate the greatest common divisor of 576 and 396.
36
Calculate the greatest common divisor of 209 and 33.
11
Calculate the highest common divisor of 1460 and 20.
20
Calculate the greatest common factor of 1955 and 10.
5
Calculate the highest common divisor of 11 and 2.
1
What is the greatest common divisor of 29 and 3?
1
Calculate the greatest common factor of 2355 and 30.
15
What is the greatest common divisor of 2208 and 96?
96
What is the highest common divisor of 254 and 20066?
254
What is the highest common divisor of 188 and 8?
4
What is the highest common divisor of 96 and 240?
48
Calculate the highest common factor of 1406 and 148.
74
What is the highest common factor of 357 and 3?
3
Calculate the greatest common divisor of 3 and 837.
3
Calculate the highest common divisor of 1325 and 53.
53
Calculate the greatest common divisor of 10 and 6810.
10
What is the highest common factor of 22 and 1298?
22
What is the highest common divisor of 20 and 1620?
20
What is the greatest common divisor of 44 and 37862?
22
What is the highest common factor of 1794 and 18?
6
What is the greatest common factor of 81 and 117?
9
What is the greatest common factor of 234 and 624?
78
What is the greatest common divisor of 1127 and 437?
23
Calculate the highest common divisor of 132 and 748.
44
What is the highest common divisor of 150 and 60?
30
Calculate the greatest common divisor of 20 and 196.
4
What is the greatest common factor of 118 and 3776?
118
What is the highest common factor of 4070 and 555?
185
What is the highest common factor of 40 and 12760?
40
Calculate the greatest common factor of 17 and 1377.
17
What is the greatest common factor of 588 and 210?
42
Calculate the greatest common factor of 7 and 763.
7
What is the highest common factor of 231 and 957?
33
What is the greatest common factor of 387 and 43?
43
Calculate the highest common factor of 3379 and 327.
109
What is the highest common factor of 132 and 462?
66
What is the greatest common divisor of 220 and 88?
44
What is the highest common factor of 36 and 17154?
18
Calculate the greatest common factor of 340 and 2125.
85
Calculate the greatest common factor of 450 and 36.
18
Calculate the greatest common factor of 67 and 603.
67
Calculate the highest common divisor of 38 and 2.
2
Calculate the greatest common factor of 221 and 34.
17
Calculate the highest common divisor of 5775 and 330.
165
Calculate the highest common factor of 2096 and 48.
16
What is the highest common factor of 3 and 61?
1
Calculate the highest common factor of 8 and 3176.
8
What is the highest common divisor of 93 and 36?
3
What is the greatest common factor of 144 and 633?
3
What is the greatest common factor of 21 and 28?
7
What is the highest common divisor of 4665 and 45?
15
What is the greatest common divisor of 66 and 114?
6
What is the greatest common divisor of 1780 and 380?
20
What is the greatest common divisor of 1274 and 147?
49
What is the highest common factor of 66 and 33?
33
Calculate the highest common divisor of 2610 and 30.
30
Calculate the greatest common factor of 13203 and 163.
163
What is the greatest common divisor of 40 and 3240?
40
What is the greatest common divisor of 2187 and 81?
81
Calculate the highest common divisor of 2670 and 1590.
30
What is the highest common factor of 2555 and 146?
73
Calculate the greatest common factor of 27 and 45.
9
What is the highest common fa
|
{
"pile_set_name": "DM Mathematics"
}
|
42 for m.
1
Solve -72*w + 123 = -75*w - b + 4*b, -11*w - 451 = 2*b for w.
-41
Solve 0 = -a - 8*d + 46, 2*a = 114*d - 221*d + 110*d - 22 for a.
-2
Solve 0 = 4*f - 2*d + 18, 10*f + 3*d = 19*f - 12*f + 54 for f.
3
Solve 64 = 5*i + 197*g - 24*g - 179*g - 7, -5*i - 5*g = 50 for i.
1
Solve 0 = 3*x + m - 34, -1085*x - 2*m + 48 = -1081*x for x.
10
Solve -5 = -2*n - 3*k, 148*k - 293*k - 15 = 3*n - 148*k for n.
-2
Solve -50 = 2*x + 9*k + 16*k, 149 = -4*x + 2*k + 153 for x.
0
Solve -37688 + 37654 = -2*j - 3*o, -51 = -3*j - 3*o for j.
17
Solve 0*i - 12*i + 10*i + 10 = -4*x - 0*x + 12, 5*i = 4*x + 13 for i.
5
Solve 51*c - 2*y = 25*c + 28*c - 14, 16 = -14*c + 5*y for c.
1
Solve 3022237*s = -3*z + 3022241*s, z + 3*s - 13 = 0 for z.
4
Solve 0 = -772*j + 777*j - 25, 4*j + 132 = -2*y for y.
-76
Solve -4*g + 6*g + 21*g + 324 = -5*i - 875, 0 = -17*i - 2*g - 38 for i.
4
Solve -4*f - 5*f - 13 = 5*f - 41, -11*f + 24 = 2*k for k.
1
Solve 396*n - 397*n = -4*x - 13, 0 = -4*n - 13*x - 6 for n.
5
Solve 21*c - 15*c - 9*c - 153 = -121*v, -4*v + 3*c = -153 for v.
0
Solve 2*p - 5*h + 21 = -4*h, 0 = -118*p + 120*p + 3*h - 31 for p.
-4
Solve 0 = -48*g - u + 292, 4*g + 6*u - 1 - 34 = 13 for g.
6
Solve 8*j = k + 7, -3*j - 5*k + 2347 = -0*j + 2554 for j.
-4
Solve -56*m + 4*x = 24*m + 324, 2*m + m - 2*x = -0*x - 14 for m.
-4
Solve 0 = 5*x + 2*u - 8, -2878*x + 2872*x = -5*u + u - 48 for x.
4
Solve -2*x + 220*v + 78 = 221*v, 2*v = 3*x - 103 for x.
37
Solve -d + 23 = 2*u + 7, 87 = -3*d + 5*u + 37 + 43 for d.
6
Solve n + 16*l - 2*l - 15*l - 2 = 3, -5*l = 4*n - 2 for n.
3
Solve -5*i - h + 534 = 1064 - 540, 2*i + 5*h - 4 = 0 for i.
2
Solve 4*k - 40 = -4*h, -21*k + 17*k - 4*h = -8*k + 24 for k.
8
Solve 5*d = 3*a - 54, 0 = -22*d + 17*d + a - 19 - 9 for d.
-3
Solve 634*o - 615*o + 3*s + 216 = 0, 80 = -5*o + 5*s for o.
-12
Solve 152*a + 19*v = 150*a - 114, -5*v = -2*a - 114 for a.
-57
Solve 0 = -6827*q + 6846*q - 171, 2*c - 5*q = -37 for c.
4
Solve 16453*k + z = 16457*k - 7, -3*k = z for k.
1
Solve -18 = -4*i - 5*f, -i - 5330*f + 5328*f = -9 for i.
-3
Solve 235 = -5*w - 2*j, 0*w - 17*w - 226*j - 221*j = -450*j + 799 for w.
-47
Solve -15*t - 10*t - 10*t = -40*t + 21 - 11, 0 = 8*u - 4*t + 64 for u.
-7
Solve -4*j + 286*n = 280*n + 114, -80*j + 5*n - 1705 = 0 for j.
-21
Solve -2*n - 184 = -2*s - 388 + 180, -4*s - 48 = -6*n for s.
-12
Solve 2*p + 48*c - 1290 = -100, 0 = -3*p - c - 3 + 6 + 7 for p.
-5
Solve -8695*b + 3*l + 7 = -8693*b, 5*b + 3*l = 49 for b.
8
Solve 140 = 4*h - 2*p, 32*h + 12*p = 36*h - 180 for h.
33
Solve -4*w + 3*b + 12 = 0, -6*b + 54 = -9796*w + 9801*w for w.
6
Solve -273 = -74*p + 71*p - 13*i + 8*i, 4*p - 98 = -2*i for p.
-4
Solve -191*z + 70*z + 124*z + 6 = -4*l, 0 = 3*z + 5*l + 9 for z.
2
Solve 129*l - 3*z - 4 = -622, 2*l = -2*z - 28 for l.
-5
Solve 7*l = -113*o + 114*o - 35, 4*o - 19*l = 95 for o.
0
Solve 3353*i + 5*l - 1 = 3355*i + 2, l = 2*i + 7 for i.
-4
Solve -1119 + 1037 = -x - 4*b, 9*x + 14*b = 15*b - 2 for x.
2
Solve -5*h + 0*y + 5*y = -255, 249*h + 84 = 251*h + 4*y for h.
48
Solve 63739469*y = 63739473*y + 24*l + 52, 4*y + l = 40 for y.
11
Solve 69 = -5*q + 30 + 34, -2*l - 127 = 11*q - 8*q for l.
-62
Solve -5*u - 39 = -2*h, 4*h = -6208*u + 6212*u + 24 for u.
-9
Solve 88*i - t + 56 = 39*i + 46*i, -5*i + 2*t = 110 for i.
-2
Solve 3*o - 91 = 5*o - 4*n + 26 + 117 - 24, 48*n + 48 = 0 for o.
-107
Solve -66*n + 126*n + 54 = -3*u + 67*n, -9*u + 18 = 2*n - 3*n for u.
3
Solve 0 = o - 3*y - 64 + 76, -y = -o - 6 for o.
-3
Solve -2*k + 2*s = -212 + 144, s + 94 = 2*k - 14*s for k.
32
Solve 7*c + c + 3*d + 176 + 27 = -4, -2*c - 63 = -3*d for c.
-27
Solve 101 = 3*h + 5*u, 275*h + 5*u - 749 = 248*h for h.
27
Solve -13*g + 2 - 9 = -2*c - 12*g, 4*c - g - 1 = 0 for c.
-3
Solve 0 = b + 10375*h - 10370*h - 32, 5*b = -3*h + 28 for b.
2
Solve -222 = 2*k - 248, 8*o + k - 3 - 5 = 7*o for o.
-5
Solve 4745*c - 7 = p + 4747*c + 45, -5*c - 105 = 15*p for p.
2
Solve -5*l - 274 = -v - 281, 4*v = 2*l - 64 for l.
-2
Solve 3*s + 2*d = -8*d + 7*d - 30, 3*s + 22*d + 84*d + 339 = 0 for s.
-7
Solve 4*b = 6*x - 312 + 310, 3*b = x + 9 for b.
4
Solve 154 = 4*t - 3*k + 40, -4*k = 3*t + 2 + 125 for t.
3
Solve 5*v + 2831*l - 15 = 2829*l, -5*l + 6 = -19*v for v.
1
Solve 91*g + 51 = 92*g + 5*v, -g + 23 = -2*v for g.
31
Solve -4*s - 45 = -149, 7*h - s + 3*s - 64 = 3*h for h.
3
Solve -7*p = -4*j - 473, -p + 1036 = -3*j + 966 for j.
-1
Solve 6*p + 2*k - 48 = 0, -7*p + 2*k - 1332 = -1401 for p.
9
Solve -480*r = -475*r - v + 17, 2*r - 25*v + 29*v = 2 for r.
-3
Solve 0 = 2*p + 3*c - 11 + 31, 3746*p + 3*c - 12 = 3740*p + 6*c for p.
-1
Solve -5*z - 3*i = -27, -162*i - 170*i = -5*z - 331*i - 9 for z.
0
Solve 26798*h - 2*n = 26805*h + 311, -5*h + 3*n - 200 = 0 for h.
-43
Solve 0 = 2*u - u - 6*b + 18, -3*b + 6*b - 93 = -9*u - 27 for u.
6
Solve 3*w - 5*v + 3 = 4*w - 14, 3*v = -285*w - 2265 for w.
-8
Solve 0 = -5*h, -331*f - 15 = -336*f + 16*h for f.
3
Solve 4*s - 97 = -455*x + 450*x, 4*x - 86 = -6*s for x.
17
Solve -2*q - 939*y + 937*y - 72 = 0, -584 = 92*q - 4*y + 7*y + y for q.
-5
Solve 8*t - 3*h + 39 = 0, 193*t - 1479*h = -1477*h - 589 for t.
-3
Solve -u - 5*b + 478 = 575, 5*u + 48 = -2*b for u.
-2
Solve 0 = 3*b + 5171*t - 5169*t + 221, -4*t - 300 = 4*b for b.
-71
Solve -219*t + 215*t + 5*q = 3*q + 68, 67 = t + 3*q for t.
-5
Solve -60 = 21*j + 2*g, j + 6096*g = 6093*g - 212 for j.
4
Solve 2*w - 18*l = 200, -8*w + 11*w + 2*l - 85 = 70 for w.
55
Solve -j - 3 = -3763*o + 3761*o, -2*o - 5*j + 21 = 0 for o.
3
Solve t - 494 = -491, 3*v - 4*v + 4*t - 26 = 0 for v.
-14
Solve -1032*c + 80 = -1036*c + 5*y + 25, -3*c - 135 = -10*y for c.
5
Solve 31087*q + 5*h = 31083*q - 144, 0*h = 5*q - h + 151 for q.
-31
Solve 0 = 276*k + 5*i + 10, -4532*k - 3*i - 6 = -4529*k for k.
0
Solve 3*n = -73*h + 75*h - 34, -h + 15 = -2 for n.
0
Solve -80*w - m = -273, 24*w - 29*w + 4*m = 117 for w.
3
Solve -2*f - 17*h = -f - 103, 3*h - h - 17 + 32 = 25 for f.
18
Solve -n + 11*x + 6 = 12*x - 8 + 33, -10*x = 150 for n.
-4
Solve -6*p + 24 = 0, -18*q + 3*p + 2*p + 142 + 63 = -9*q for q.
25
Solve s + 3*l = 21, 130*s = 69*s + 56*s - 5*l + 25 for s.
-3
Solve 6*t = -20*t + 3*a - 94, -612 = -2*t - 5*a - 682 for t.
-5
Solve 3*x + 4194258*z + 53 = 4194272*z, -4*x + z - 53 = 0 for x.
-13
Solve r = 4*x - 83, -256757*x = -256754*x - 8*r - 55 for x.
21
Solve 28*l + 2*i - 1960 = 0, -42827*i - 140 = -2*l - 42823*i for l.
70
Solve -2*m = -5*c, -m - 4*m - 4159*c = m - 8314*c + 4158*c for m.
0
Solve x + 23 = -2*s, 0*s + 0*s + 97 = -s - 29*x for s.
-10
Solve 4*j + 76*w - 84*w = 108, -2*w = -2*j + 58 for j.
31
Solve -14*q - 9*q + 43 = -19*q - 5*p - 20, 0 = -4*q - 19*p - 191 + 86 for q.
7
Solve 233*o - 238*o = -2*a + 73, 70 = 5*o + 4*a - 1 for o.
-5
Solve 118*y + 2*d - 90 = 116*y, -4*y + 52 = d - 15 + 16 for y.
2
Solve 3 = -3*d - 3*m, 0 = -d + 2091*m - 2098*m - 31 for d.
4
Solve -68 = -462*p + 465*p + 2*m, 0 = p + 5*m + 40 for p.
-20
Solve 179*y - 180*y = 4*t - 18, 4*t + 3*y = 30 for t.
3
Solve 0 = -v - 4*g - 8 - 23 - 9, 50 = 11*v - 5*g for v.
0
Solve 72679*i + 41 = -4*m + 72684*i, -5*m = 5*i - 50 for m.
1
Solve 58 = 7309*i - 7305*i + 15*r - 70, i - 51 = r for i.
47
Solve -7*u = -3*u + 3*a + 39, -21*u + 10 = 18*u - 44*u + 4*a for u.
-6
Solve -1066*o + 1069*o + 2*i - 83 = 0, -28*o - 5*i = -269 for o.
3
Solve v + 458 = 5*p + 164, 828 = 14*p + 2*v for p.
59
Solve 2*o + 4 = -2*m, -o = 2*m - 157653 + 157658 for o.
1
Solve 0 = -c - 6*r + 34, -25 = -5*c + 29472*r - 29473*r for c.
4
Solve 208 = 4*s - 80*a, s - 4*s + 35 = -7*s - a for s.
-8
Solve 0*w + 2*o + 15 = 3*w, 0 = 5*w - 10*w + 2*o - 10 + 31 for w.
3
Solve -4*f + 5*b - 21 = 0, -8*f + 2*b + 3736 - 3770 = 0 for f.
-4
Solve 0 = 6987*n - 6984*n + 5*b - 241, -2*n = 4*b - 192 for n.
2
Solve 1165*m - 72 = 6*q + 1167*m, -2*m + 76 = -5*q - 4*m for q.
4
Solve 2890*j - 2886*j - 1862 = -71*z, 2*j - 5*z = -122 for j.
4
Solve 54 = -a + 7*a + 9044*b - 9043*b, 2*a - 4*b = 18 for a.
9
Solve 2*h = 12*p - 32, 361157*h - 361162*h - 28 = -4*p for p.
2
Solve 21225*b - 21229*b + 26 = t, -92*b + 642 = t for t.
-2
Solve 1451*f = 1474*f + 3*q + 49, q + 9 = -4*f for f.
-2
Solve 2 = 3*d + 7*i - 5 + 1 + 17, 8 = -4*i for d.
1
Solve 4*a + 1883*b + 96 = 1887*b, 5*b + 104 = -a - 2*a for a.
-28
Solve -a + 43270 = -5*f + 43264, 0 = 252*a + 2*f - 250 for a.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 2
Let l(a) = 3*a**2 - 7*a - 5. Let u(g) = -3*g**2 + 8*g + 4. Give 4*l(i) + 5*u(i).
-3*i**2 + 12*i
Let y(h) = -22*h**2 - 3*h. Let s(g) = -21*g**2 - 4*g - 1. Give -2*s(c) + 3*y(c).
-24*c**2 - c + 2
Let w(f) = f**2. Let m(u) = 9*u**3 + 81*u**2. What is 2*m(n) - 162*w(n)?
18*n**3
Let i(l) = 1 - 36*l - 2 + 29*l - 9*l**2. Let f(x) = 14*x**2 + 11*x + 2. Determine -5*f(k) - 8*i(k).
2*k**2 + k - 2
Let k(z) = -z**3 - z**2 + z + 1. Let q(m) = 3*m**3 + 3*m**2 - 4*m - 4. Let f = 33 + -32. What is f*q(i) + 4*k(i)?
-i**3 - i**2
Let o(h) = -2*h**3 - 4*h + 7. Let d(j) = -2*j**3 - 5*j + 8. Determine 5*d(v) - 6*o(v).
2*v**3 - v - 2
Let p(i) = i**3 + i**2 + i - 1. Let t(b) = -2*b**2 - 5*b - 1. Let a(y) = y**3 + 2*y**2 + 6*y + 2. Let z(k) = -3*a(k) - 4*t(k). Calculate 2*p(w) - z(w).
5*w**3
Let m(x) be the third derivative of x**5/20 + x**4/6 - 2*x**3/3 + 12*x**2. Let s(o) = -7*o**2 - 9*o + 9. Determine 9*m(i) + 4*s(i).
-i**2
Let y(v) = v + 1. Let z(m) = -3*m - 23. Calculate 4*y(u) + z(u).
u - 19
Let w(m) = -5*m**2 - 7*m - 10. Let d(z) = -3*z**2 - 5*z - 7. Calculate -7*d(p) + 5*w(p).
-4*p**2 - 1
Let o(n) = 5*n. Let s(g) = 2*g. Give -4*o(h) + 9*s(h).
-2*h
Let k(t) = t. Let w(h) be the first derivative of -3*h**2 - 10. Determine 11*k(a) + 2*w(a).
-a
Let x(f) = 3*f**2 - 4*f. Let k(o) = -4*o**2 + 4*o. Give 2*k(q) + 3*x(q).
q**2 - 4*q
Let x(g) = 2*g**2 - 3*g - 4. Let n(j) = 0*j**2 - 3*j**2 + 6 - 1 + 4*j. Give -4*n(u) - 5*x(u).
2*u**2 - u
Let s(t) be the second derivative of t**6/720 - t**5/120 + t**4/2 - 6*t. Let l(v) be the third derivative of s(v). Let q(r) = -4*r + 8. Calculate 6*l(d) + q(d).
2*d + 2
Let x(c) = -c**3 + 2*c**2 - 2*c + 3. Let q be x(2). Let b(p) = -2*p + 2. Suppose -u - 3*u = -4. Let w(v) = -u + 0 + 2. Determine q*b(i) + 3*w(i).
2*i + 1
Let j(b) = 5*b**2 - 4*b + 2. Let f(c) = -23*c**2 + 9*c - 11. Let a(p) = -35*p**2 + 13*p - 17. Let v(o) = -5*a(o) + 8*f(o). Determine -5*j(i) - 3*v(i).
2*i**2 - i - 1
Let a = 9 - 15. Let o(y) = -7. Let j(n) = n + 13. Let r(b) = 6*j(b) + 11*o(b). Let q(d) be the first derivative of -7*d**2/2 - d - 1. Determine a*r(v) - 5*q(v).
-v - 1
Let a(n) = n + 22. Let h be -4 - -5 - (1 + -1). Let j(v) = 2 - 5 + 0 + h. Let z be 9/(-6) + 1/(-2). Calculate z*a(d) - 22*j(d).
-2*d
Let f(l) = 6*l**2 - 36*l. Let d(m) = m**2 - 7*m. Calculate -16*d(s) + 3*f(s).
2*s**2 + 4*s
Let y(p) = -p**2 + p - 1. Let a(w) = -3*w**2 + 2*w. Let u(i) = -4*i**2 + 3*i. Let o(c) = -3*a(c) + 2*u(c). Determine o(h) - y(h).
2*h**2 - h + 1
Let x(w) = 2*w**3 - 13*w - 7. Let v(h) = h**3 - 6*h - 3. Let g be 18/3 + -2 - 0. Suppose 3*s = -5*y - 8, -4*y = -0*s + g*s. Determine y*x(t) + 9*v(t).
t**3 - 2*t + 1
Let o(j) = -j**3 - j. Let u(m) = 5*m**3 + m**2 + 3*m + 1. Determine -3*o(w) - u(w).
-2*w**3 - w**2 - 1
Let m(x) = -4*x**2 - 6*x + 14. Let v(u) = -3*u**2 - 5*u + 13. Give -5*m(n) + 6*v(n).
2*n**2 + 8
Let u(d) = 6*d**3 + 5*d**2 + 2*d - 1. Let b(m) be the second derivative of -m**5/4 - m**4/3 - m**3/3 + m**2/2 - 9*m. Give -5*b(a) - 4*u(a).
a**3 + 2*a - 1
Let h(z) = 14*z**3 + 5*z**2 - 8*z. Let i = 12 + -15. Let g be -5*((-64)/(-10))/4. Let c(b) = -5*b**3 - 2*b**2 + 3*b. Determine g*c(s) + i*h(s).
-2*s**3 + s**2
Let b(l) = l**2 + 3*l - 12*l**2 - 4*l + 4*l**2. Let y(c) be the third derivative of c**5/15 + c**4/24 - c**2. What is 3*b(v) + 5*y(v)?
-v**2 + 2*v
Let q(w) = -w**2 - 1. Let j(b) be the third derivative of b**5/12 + b**4/24 + 5*b**3/6 - 7*b**2. What is 2*j(y) + 9*q(y)?
y**2 + 2*y + 1
Let i(z) = -2*z**2 - 5*z - 99. Let l(g) = g - 1. Determine -i(x) - 5*l(x).
2*x**2 + 104
Let j(q) = 5*q - 2. Let o(v) = 4*v - 3. What is 4*j(b) - 3*o(b)?
8*b + 1
Let m(j) = -4*j**2 + 0*j**2 - j**3 - j**3 - 4*j. Let n(p) = p**2 + p. Suppose -6 = -t - t. Suppose -t*c + 14 = q, -2*q = 4*c - 5*q - 10. What is c*n(d) + m(d)?
-2*d**3
Let c(f) = 7*f. Let q(y) = 6*y + 6. Let t(n) = 1. Let s(m) = q(m) - 6*t(m). Calculate -2*c(a) + 3*s(a).
4*a
Let a(l) = -4*l**3 + 4*l**2 + 2*l - 3. Let n(t) = 17*t**3 - 17*t**2 - 9*t + 12. What is -9*a(d) - 2*n(d)?
2*d**3 - 2*d**2 + 3
Let m(r) be the third derivative of -3/8*r**4 + 0 + 0*r + 1/20*r**5 + 0*r**3 + r**2. Let w(z) = -5*z**2 + 14*z. Determine 8*m(d) + 5*w(d).
-d**2 - 2*d
Let x(r) = -7*r + 1. Let y = -7 + 11. Let d(v) = 3*v**3 + v + 2. Let w be d(-2). Let u be (-30)/w*(1 - -3). Let q(h) = 6*h - 1. Determine u*q(z) + y*x(z).
2*z - 1
Let j(i) = -i. Let x(n) = 7*n + 6. Give 5*j(m) + x(m).
2*m + 6
Let o(v) = 8 - v - 2 - 8. Let r(x) = -x - 1. Give -4*o(i) + 5*r(i).
-i + 3
Suppose -3*t - 2*t + 25 = 0. Suppose 4*s - 5*w + 8 = 1, -t*s = 2*w - 16. Let y(o) = -o + 1. Let h(m) = m - 2. Determine s*y(u) + h(u).
-u
Let q(j) = 6*j + 3. Let h(o) = -7*o - 4. Give -5*h(p) - 6*q(p).
-p + 2
Let o(u) = -1. Let a be -1*7 + (0 - -1). Let t(w) be the second derivative of w**4/6 - w**3/3 - 7*w**2/2 + 24*w. Determine a*o(p) + t(p).
2*p**2 - 2*p - 1
Let h(k) = 3*k**3 + 2*k**2 - 2*k + 4. Let v(o) = 10*o**3 + 6*o**2 - 7*o + 11. Calculate -7*h(b) + 2*v(b).
-b**3 - 2*b**2 - 6
Let j(g) = g**3 - 5*g + 6. Let n = 8 + -6. Suppose 5 = n*c - c. Suppose c*k - 2*s - 2 = 9, -s + 2 = 5*k. Let o(q) = q - 1. Give k*j(x) + 5*o(x).
x**3 + 1
Let b(l) = -36*l - 15. Let w(c) = 7*c + 3. What is -4*b(i) - 21*w(i)?
-3*i - 3
Let y(c) = 16*c**2 - 10*c**2 - 7*c**2 - 4*c + 5*c. Let d(f) = -6*f**2 + 3*f. What is d(m) - 3*y(m)?
-3*m**2
Suppose -5*p - 32 - 13 = 0. Let w(x) = 12*x - 5. Let a(i) = 3*i - 1. Let q(n) = p*a(n) + 2*w(n). Let o(c) = -c. Determine 5*o(f) - 2*q(f).
f + 2
Let l(o) = 3*o + 3*o + 2*o - 9*o. Let v(t) = -6*t. Determine -3*l(b) + v(b).
-3*b
Let v(x) = 11*x + 8. Let c(m) = 10*m + 7. Calculate 6*c(r) - 5*v(r).
5*r + 2
Let h(k) = -23*k**3 + 5*k**2 + 5*k. Let y(r) = -448*r**3 + 98*r**2 + 98*r. Calculate -98*h(w) + 5*y(w).
14*w**3
Let u = -9 - -9. Let v be 12/(-18)*(3 - u). Let s(l) = 2*l + 4. Let h(k) be the second derivative of k**3/3 + 5*k**2/2 + k. What is v*h(j) + 3*s(j)?
2*j + 2
Let h(c) = -c**3 + 4*c**2 + 4*c - 4. Let q be 1*(-1 + 5)*-1. Let t(m) = -m**3 + m**2 + m - 1. Give q*t(v) + h(v).
3*v**3
Let f(h) = 26*h + 17. Let m(a) = 9*a + 6. What is -4*f(p) + 11*m(p)?
-5*p - 2
Let x(d) = 7*d - 7. Let m(w) = -w. Let h(k) = 2*m(k) + x(k). Let z(i) = -1. Let n(v) = 4*v + 2. Let g(p) = n(p) + 8*z(p). Let o = 0 + -5. Give o*h(s) + 6*g(s).
-s - 1
Let p(b) = 14*b + 15*b - 28*b. Let y(k) = 6*k - 1. Determine 5*p(c) - y(c).
-c + 1
Suppose -4*y = -5*y + 3. Let c(z) = 8 - z + z + 0*z**3 - z**y. Let m(p) = -1. Determine c(w) + 6*m(w).
-w**3 + 2
Let z(s) = 52*s - 5. Let d(c) = -51*c + 4. Give -7*d(o) - 6*z(o).
45*o + 2
Let h(p) = 3*p - 3*p + 4*p - 189 + 182. Suppose -3*a + 0 + 21 = 0. Let d(s) = s - 2. Determine a*d(n) - 2*h(n).
-n
Let h(v) = -2*v**3 + 2504 - v**2 - 2504. Let y(c) = c**3 + c**2. Determine 2*h(m) + 3*y(m).
-m**3 + m**2
Let l(b) = b - 2. Let q(c) = 143 - 73 - 74 + 3*c. Determine -7*l(m) + 3*q(m).
2*m + 2
Let g(r) be the first derivative of -7*r**3/3 + 7*r**2/2 + 9*r - 6. Let l(k) = 4*k**2 - 4*k - 5. What is -6*g(j) - 11*l(j)?
-2*j**2 + 2*j + 1
Let y(z) = -5*z + 3. Let t(n) = 10*n - 5. Let i(u) = -3*t(u) - 5*y(u). Let b(j) = 55*j. Give -4*b(c) - 45*i(c).
5*c
Let m(x) be the third derivative of 0 + 0*x**5 - 1/24*x**4 + 0*x - 1/120*x**6 + 0*x**3 + x**2. Let t(v) = 4*v**3 + 3*v - 2. Calculate -3*m(b) - t(b).
-b**3 + 2
Let r(s) be the second derivative of -5*s**4/12 - 2*s**3/3 - s**2 + 9*s. Let a(j) = -11*j**2 - 9*j - 4. Determine 4*a(u) - 9*r(u).
u**2 + 2
Let u(k) = 5*k**3 + 21*k**2 + 10*k. Let g be -1*(-4)/6*-3. Let h = -1 + 4. Let w(v) = -3*v + v - 8*v**2 - v**h + 4*v**2. Determine g*u(z) - 11*w(z).
z**3 + 2*z**2 + 2*z
Let i(l) = l**3 - 5*l**2. Suppose 5*w - 12 - 4 = -3*g, 0 = -w + g + 8. Let p(z) = 2*z**3 - 14*z**2. Give w*p(v) - 14*i(v).
-4*v**3
Let l(d) = 1. Let a be 174/8 - 27/(-108). Let p(s) = -s + 12. Determine a*l(f) - 2*p(f).
2*f - 2
Let n(p) = p. Let h(k) = -7*k + 55. What is h(l) + 5*n(l)?
-2*l + 55
Let a = 55 - 49. Let q(z) = -4*z**3 - 17*z**2 - 13*z. Let h(l) = 2*l**3 + 8*l**2 + 6*l. Give a*q(f) + 13*h(f).
2*f**3 + 2*f**2
Let y(k) = -4*k**3 - 5*k**2 + 2. Let c(v) = -20*v**3 - 24*v**2 + 10. Suppose -5*t + 2*s - 15 = 0, -2*s = -t - 0*s - 3. Determine t*c(i) + 14*y(i).
4*i**3 + 2*i**2 - 2
Let w(t) = -1. Suppose 18 = 4*l - 2*x, 3*l - x - 13 = -l. Let z(n) = 2*n - 4. Give l*w
|
{
"pile_set_name": "DM Mathematics"
}
|
factors of 1024651?
19, 199, 271
List the prime factors of 4462.
2, 23, 97
List the prime factors of 250122.
2, 3, 41687
What are the prime factors of 1513?
17, 89
List the prime factors of 143463.
3, 17, 29, 97
What are the prime factors of 244860?
2, 3, 5, 7, 11, 53
What are the prime factors of 196444?
2, 67, 733
What are the prime factors of 245648?
2, 13, 1181
What are the prime factors of 3641992?
2, 241, 1889
What are the prime factors of 9419251?
211, 44641
List the prime factors of 206855.
5, 11, 3761
What are the prime factors of 3727290?
2, 3, 5, 7, 17749
What are the prime factors of 160246?
2, 19, 4217
List the prime factors of 6670950.
2, 3, 5, 11, 13, 311
What are the prime factors of 4346298?
2, 3, 11, 271
What are the prime factors of 1151925?
3, 5, 15359
What are the prime factors of 1851232?
2, 17, 41, 83
What are the prime factors of 240202?
2, 83, 1447
List the prime factors of 2336487.
3, 19, 179, 229
List the prime factors of 10918802.
2, 5459401
List the prime factors of 3125067.
3, 11, 8609
What are the prime factors of 1050656?
2, 32833
List the prime factors of 13359130.
2, 5, 67, 127, 157
List the prime factors of 1099913.
331, 3323
What are the prime factors of 1586365?
5, 11, 28843
What are the prime factors of 11925962?
2, 389, 15329
List the prime factors of 352550.
2, 5, 11, 641
What are the prime factors of 9628?
2, 29, 83
What are the prime factors of 161022?
2, 3, 47, 571
What are the prime factors of 4543455?
3, 5, 7, 43271
List the prime factors of 96392.
2, 12049
List the prime factors of 432012.
2, 3, 7, 37, 139
List the prime factors of 29617.
7, 4231
What are the prime factors of 586026?
2, 3, 7, 4651
List the prime factors of 258883.
29, 79, 113
List the prime factors of 198922.
2, 79, 1259
What are the prime factors of 1169070?
2, 3, 5, 7, 19, 293
What are the prime factors of 15417137?
31, 211, 2357
List the prime factors of 741.
3, 13, 19
What are the prime factors of 1384284?
2, 3, 11, 10487
What are the prime factors of 11560815?
3, 5, 7, 107
List the prime factors of 222569.
131, 1699
List the prime factors of 1483293.
3, 7, 23, 37, 83
What are the prime factors of 7418779?
7418779
What are the prime factors of 400498?
2, 7, 28607
What are the prime factors of 139317?
3, 46439
What are the prime factors of 10009474?
2, 53, 89, 1061
What are the prime factors of 222910?
2, 5, 22291
List the prime factors of 144720.
2, 3, 5, 67
List the prime factors of 11143961.
73, 152657
What are the prime factors of 1615518?
2, 3, 29917
List the prime factors of 6997304.
2, 43, 20341
What are the prime factors of 717199?
7, 29, 3533
List the prime factors of 86602.
2, 19, 43, 53
List the prime factors of 294576.
2, 3, 17, 19
List the prime factors of 185786.
2, 92893
What are the prime factors of 1758171?
3, 586057
What are the prime factors of 22121387?
22121387
List the prime factors of 1496950.
2, 5, 7, 13, 47
What are the prime factors of 929408?
2, 53, 137
List the prime factors of 28445.
5, 5689
List the prime factors of 164411.
13, 12647
List the prime factors of 52513.
17, 3089
What are the prime factors of 1554574?
2, 7, 29, 547
What are the prime factors of 10232092?
2, 13, 196771
What are the prime factors of 59328?
2, 3, 103
List the prime factors of 287926.
2, 19, 7577
List the prime factors of 434647.
434647
What are the prime factors of 1413148?
2, 11, 32117
List the prime factors of 6891624.
2, 3, 95717
What are the prime factors of 392410?
2, 5, 39241
What are the prime factors of 1480042?
2, 740021
List the prime factors of 268107.
3, 7, 17, 751
List the prime factors of 178739.
11, 16249
What are the prime factors of 4691426?
2, 2345713
What are the prime factors of 4262514?
2, 3, 59, 12041
List the prime factors of 165665.
5, 17, 1949
What are the prime factors of 8839363?
13, 679951
What are the prime factors of 1006656?
2, 3, 7, 107
List the prime factors of 3943367.
3943367
What are the prime factors of 131603?
101, 1303
What are the prime factors of 21928106?
2, 10964053
List the prime factors of 97709.
199, 491
List the prime factors of 2408589.
3, 37, 2411
List the prime factors of 993236.
2, 248309
List the prime factors of 1386228.
2, 3, 331, 349
What are the prime factors of 72060?
2, 3, 5, 1201
List the prime factors of 1554296.
2, 37, 59, 89
List the prime factors of 11997224.
2, 349, 4297
List the prime factors of 3695054.
2, 11, 53, 3169
What are the prime factors of 1669002?
2, 3, 43, 6469
List the prime factors of 6569960.
2, 5, 164249
List the prime factors of 124283.
37, 3359
What are the prime factors of 429755?
5, 23, 37, 101
List the prime factors of 8142429.
3, 31, 87553
What are the prime factors of 4190813?
11, 380983
List the prime factors of 2802959.
2802959
List the prime factors of 6248783.
401, 15583
List the prime factors of 2875.
5, 23
What are the prime factors of 26093876?
2, 41, 107, 1487
List the prime factors of 261248.
2, 13, 157
What are the prime factors of 1284740?
2, 5, 64237
What are the prime factors of 1555800?
2, 3, 5, 2593
List the prime factors of 76193.
13, 5861
What are the prime factors of 121377?
3, 40459
What are the prime factors of 226348?
2, 71, 797
List the prime factors of 326644.
2, 127, 643
List the prime factors of 11982152.
2, 7, 13, 109, 151
List the prime factors of 4230399.
3, 17, 109, 761
What are the prime factors of 545318?
2, 272659
List the prime factors of 7928784.
2, 3, 55061
List the prime factors of 884886.
2, 3, 147481
List the prime factors of 962727.
3, 17, 43, 439
What are the prime factors of 299651?
11, 27241
What are the prime factors of 27626?
2, 19, 727
List the prime factors of 103568.
2, 6473
List the prime factors of 7069875.
3, 5, 17, 1109
What are the prime factors of 502642?
2, 7, 23, 223
List the prime factors of 2756842.
2, 11, 125311
What are the prime factors of 6054831?
3, 24917
What are the prime factors of 2261549?
2261549
List the prime factors of 669176.
2, 233, 359
List the prime factors of 17562797.
7, 2508971
List the prime factors of 25076807.
7, 3582401
What are the prime factors of 648916?
2, 162229
List the prime factors of 1972609.
29, 251, 271
List the prime factors of 3753622.
2, 937, 2003
What are the prime factors of 5883116?
2, 149, 9871
What are the prime factors of 1331481?
3, 31, 103, 139
What are the prime factors of 312937?
312937
What are the prime factors of 3062764?
2, 53, 14447
What are the prime factors of 2927008?
2, 7, 73, 179
List the prime factors of 14186605.
5, 601, 4721
What are the prime factors of 5390090?
2, 5, 539009
List the prime factors of 878164.
2, 7, 79, 397
List the prime factors of 5253184.
2, 79, 1039
List the prime factors of 545013.
3, 7, 41, 211
List the prime factors of 351901.
11, 31991
List the prime factors of 178498.
2, 31, 2879
What are the prime factors of 2693185?
5, 11, 23, 2129
List the prime factors of 9183922.
2, 11, 417451
What are the prime factors of 15893596?
2, 269, 14771
What are the prime factors of 123944?
2, 15493
What are the prime factors of 30323065?
5, 151, 40163
What are the prime factors of 87053?
263, 331
List the prime factors of 3524975.
5, 19, 41, 181
List the prime factors of 1798257.
3, 599419
What are the prime factors of 2591696?
2, 43, 3767
List the prime factors of 463462.
2, 37, 6263
List the prime factors of 662461.
773, 857
List the prime factors of 78215.
5, 15643
List the prime factors of 1155948.
2, 3, 96329
List the prime factors of 117052.
2, 13, 2251
List the prime factors of 20682552.
2, 3, 11, 157, 499
List the prime factors of 25336928.
2, 353, 2243
List the prime factors of 4755038.
2, 131, 18149
What are the prime factors of 247204?
2, 23, 2687
What are the prime factors of 765132?
2, 3, 63761
List the prime factors of 616298.
2, 308149
What are the prime factors of 12810717?
3, 17573
List the prime factors of 146423.
146423
List the prime factors of 197864.
2, 24733
What are the prime factors of 503862?
2, 3, 79, 1063
List the prime factors of 15535477.
367, 42331
What are the prime factors of 8781051?
3, 379, 7723
List the prime factors of 125631.
3, 11, 47
List the prime factors of 1200437.
7, 171491
List the prime factors of 27672821.
11, 17, 1223
What are the prime factors of 616230?
2, 3,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 12*i**3 - 21*i**3 + 10*i**3 + 4*i**m. Calculate a(-4).
16
Let b be (-23)/(-4) + (-1)/(-4). Let r(s) be the second derivative of -s**3/6 - 17*s - 22. Give r(b).
-6
Let h(v) = 21*v**2 - 791*v - v**3 - 3*v**2 + 812*v - 33. Calculate h(19).
5
Let i(s) = 4*s**2 - 358*s - 2*s**2 + 363*s + 15 - s**3. What is i(4)?
3
Let g(n) = -n**2 - 27*n - 88. Let l be g(-4). Let t(q) be the third derivative of 0 + 1/24*q**l - 8*q**2 + 7/6*q**3 + 0*q. What is t(6)?
13
Suppose -120 = m + m. Let l be 3/4*m/(-18)*2. Let j(k) = k**3 - 3*k**2 - 6*k - 7. What is j(l)?
13
Let r(d) be the first derivative of -d**3/3 + 2*d**2 - 50. Determine r(3).
3
Suppose -2*z + 21 - 13 = 3*n, 0 = 3*n - 4*z - 20. Let b(w) = -w + 2. Calculate b(n).
-2
Let b(a) = -a**3 + 2*a**2 - a + 4. Let t(p) = -2*p + 8 - 34 + 7. Let o be t(-11). Determine b(o).
-8
Let z be 1 + (-2 + (-42)/3 - -3). Let t(p) = -p**2 - 10*p + 5. Determine t(z).
-19
Let z = 5 + 2. Let w(c) = -c**2 - 6*c + z*c + 11*c**2 - 2*c. Determine w(1).
9
Let l(y) be the second derivative of -17*y**5/10 + y**4/6 - y**3/6 + 11*y + 2. Give l(1).
-33
Let d(j) = j**2 - 6*j - 2. Let x = 371 + -366. Determine d(x).
-7
Let q(p) = 11*p**2 - 3*p + 4. Let v(z) = 31*z**2 - 9*z + 11. Let t(f) = 17*q(f) - 6*v(f). Determine t(-6).
20
Suppose -2*d + 18*b - 14*b = -24, 5*d + 4*b + 10 = 0. Let n be 30/12 - 2/4. Let l(o) = 2*o - n + 0*o - 1 + o**2 - o**3. Calculate l(d).
-3
Let s = -318 + 324. Let z(k) = -2*k - 4. Calculate z(s).
-16
Suppose 0 = -33*w - 280 - 116. Let t(i) = i**2 + 14*i - 5. Give t(w).
-29
Let i = 16 + -11. Suppose i*n = 3*w + 6, -w - 3*w = 4*n - 24. Let c(u) = -11*u**3 + 7*u**2 + 10*u**3 + 5 + w - 8*u. What is c(6)?
-4
Let l(a) = 5*a**3 - 5*a**2 - 3. Let t(g) = -4*g**3 + 5*g**2 + 4. Let y = 4 + 0. Let j = -39 + 42. Let n(i) = j*l(i) + y*t(i). What is n(5)?
7
Let b(v) = 1. Let l(y) = -4*y - 1. Let d(t) = 4*b(t) + l(t). Let f(r) = 4*r - 3. Let n(x) = -4*d(x) - 5*f(x). Determine n(2).
-5
Let k(b) = 11*b**3 + 16*b**2 - 2*b - 10. Let m(g) = -24*g**3 - 34*g**2 + 4*g + 21. Let v(i) = -13*k(i) - 6*m(i). Let j = 4 + -1. Calculate v(j).
1
Let p(n) = -n + 2. Let a(m) = 3*m - 6. Let d(o) = 2*a(o) + 5*p(o). Calculate d(4).
2
Let f(w) = -2*w + 11. Let j be f(8). Let t(m) = m**3 + 5*m**2 - m - 6. Let z be t(j). Let v(n) = n**2 - 2*n - 1. Calculate v(z).
2
Suppose -5*l - 12 = -7*b + 4*b, 5*l = -2*b + 33. Let r(v) = 8*v**2 + 6 + v**3 + 3 + b*v - v**2. Suppose -3*z + 30 = -8*z. Determine r(z).
-9
Let l(j) be the third derivative of j**6/120 - 7*j**5/20 + 3*j**4/4 + 8*j**3/3 + j**2 + 207*j. What is l(20)?
-24
Let x(v) be the second derivative of 1/6*v**3 + 20*v + 7/2*v**2 + 0. Calculate x(-6).
1
Let v(m) be the third derivative of -m**5/60 + 3*m**4/8 - m**3/3 - 28*m**2. Suppose -5*w + 2*b = -30, 5*b = -3*w + 32 + 17. Determine v(w).
6
Let q(s) = 2*s**2 + 3*s + 2. Let u be q(-4). Suppose 0*h = h + u. Let t be h/(-4) - 2/4. Let r(i) = -i**2 + 7*i - 5. Calculate r(t).
5
Let w(m) be the second derivative of -m**4/12 + 2*m**3/3 + 3*m**2 - 4*m + 1. Suppose -5*l = -0*l - 35. Suppose 0 = 2*z - l - 5. Give w(z).
-6
Let x(m) = -3*m - 1. Let l(z) = z**3 + 15*z**2 - 34*z - 1. Let c be l(-17). Let k be ((4 + (3 - 2))*c)/1. What is x(k)?
14
Let g(h) = -2*h - 8. Let r be ((-120)/70)/(2/(-21)). Let x = -21 + r. Let d = -4 + x. Give g(d).
6
Let l be 9/(-27) - (-2)/(-3). Let f(r) be the third derivative of 17*r**2 - 5/24*r**4 + 0*r + 0 + 0*r**3. Determine f(l).
5
Let x = -33 + 16. Let b(g) = g + 21. What is b(x)?
4
Suppose -5*y + 2*y + 17 = 4*r, 5*r - 3*y = 1. Suppose 3*z + r*h + 2 = -8, 0 = 3*z + 3*h + 12. Let n(b) = b**2 + b. Calculate n(z).
2
Let t(j) = 4*j**3 - j**2 + 2*j - 2. Let u be (-7)/((-14)/4) + -6. Let c be 3/9*15 + u. Let k be t(c). Let l(f) = f - 2. Calculate l(k).
1
Let u(n) = 8*n + 1. Let l be (45/(-12) - -4)/((-2)/(-8)). Calculate u(l).
9
Let b(v) = 1. Let k = 70 - 75. Let u(n) = 8*n**2 + n - 5. Let c(r) = k*b(r) - u(r). What is c(-1)?
-7
Suppose 4 + 4 = -4*x - 4*u, -12 = 2*x + 4*u. Let b(j) = j**2 - 6*j + 3. What is b(x)?
-5
Suppose 3*v = 8 + 4. Suppose -3*k - v*i = -9, 4*i + 5 = -2*k + k. Let o(b) = -b**3 + 8*b**2 - 7*b + 10. Calculate o(k).
10
Let g(p) = p - 10. Let s be g(7). Let u(y) = y**3 + 7*y**2 + 4*y - 4. Let k(d) = -d**3 - 8*d**2 - 5*d + 4. Let n(t) = 3*k(t) + 4*u(t). Determine n(s).
2
Let i(z) = -z**2 + 3*z - 7. Let n be i(7). Let m = 38 + n. Let q(d) be the first derivative of 3*d**2/2 - 4*d - 1. Give q(m).
5
Let z(l) = -3*l**2 + 2*l. Let u(q) = -q**2 + q - 1. Let k(g) = 2*u(g) - 2*z(g). Let y be 4*(-2)/8*-2. Give k(y).
10
Let n(l) be the first derivative of l**3/6 - 3*l**2/2 - 3*l - 13. Let r(h) be the first derivative of n(h). Give r(0).
-3
Let f(k) = 8*k**2 - 10 + 12*k**2 + 5*k**2 - 24*k**2 + 9*k. Calculate f(-9).
-10
Let l(z) = z**3 + 6*z**2 + 8*z + 5. Let a(g) = g**2 - 10*g - 29. Let x be a(12). Give l(x).
-10
Let d(c) be the first derivative of -c**3/3 - 2*c**2 + 6*c + 3. Suppose 4*k = -4*j, k + 2 = 3*j + 2*k. Let r be 315/(-21)*j/((-10)/(-4)). Calculate d(r).
-6
Let p(j) = -6*j - 132. Let u be p(-23). Let q(o) = -o + 20. Calculate q(u).
14
Let l = 15 - 17. Let m(i) = 2*i**2 - 7*i + 5. Let a(u) = u**2 - 3*u + 2. Let d(n) = -7*a(n) + 3*m(n). Give d(l).
-3
Let q(p) be the second derivative of p**3/6 + p**2 + 19*p + 2. Calculate q(-7).
-5
Let i(p) = -2*p + 4. Suppose -4*a + 11*a - 21 = 0. Let r be (-3)/(-4 - (-1 + (1 - a))). Give i(r).
-2
Let g(z) = z**3 + z**2 - z + 2. Let a be g(0). Suppose -3*i = -6*i, -a*i - 10 = -5*y. Let n(f) = -3*f**2 + 2. Calculate n(y).
-10
Let y(h) = -3*h**2 + h**3 - 1936 - 3*h + 8*h**2 + 1955 - 4*h + 4*h. Give y(-6).
1
Let h(u) = -6*u**2 + u + 1. Let f(l) = 25*l**2 - 2*l - 9. Let p(z) = -f(z) - 4*h(z). Calculate p(-7).
-30
Suppose 10*h - 9*h + 18 = 5*j, 2*h = -3*j + 3. Let y(v) be the second derivative of 0 + 5*v + 0*v**2 - 2/3*v**j. What is y(-1)?
4
Let p be 26/6 - (-4)/(-12). Let n be 8/(-10)*(1 + p). Let b(c) = -4 + 140*c - 142*c + 3. What is b(n)?
7
Suppose 0*x + x = 0. Let m(c) be the second derivative of -2*c + 0 + 1/12*c**4 + 1/6*c**3 - 5/2*c**2. Calculate m(x).
-5
Let x(o) be the second derivative of -o**3/3 - 3*o**2 + 107*o + 3. Give x(-9).
12
Suppose -5*l + 14 = -26. Suppose -l*y = 4*y - 36. Let m(f) = f**3 - 2*f**2 - 3*f + 3. Determine m(y).
3
Let a(c) be the third derivative of 5/8*c**4 - 1/6*c**3 + 0*c + 2*c**2 + 0. Determine a(-1).
-16
Let s(y) = -y - 3. Let b be (-7 - 2)*2/3. Let u be s(b). Let t(l) be the second derivative of l**5/20 - l**4/12 - l**3/2 + 3*l**2/2 + 11*l. What is t(u)?
12
Suppose 2*s + 1 - 5 = 0. Let y(u) = 39 - 18 + 2*u**2 - 3*u - 12 - 9. Determine y(s).
2
Let c = 322 + -314. Let d(n) = 2*n - 7. Give d(c).
9
Suppose 2*d = x + 10, -d + 19 + 0 = -4*x. Let v(o) = 5 + 3*o**2 - o**d + o - 2 + 1. Let u be 2 + (1 - 2 - -3). Determine v(u).
-8
Suppose -w + 6*w - 30 = 0. Let h(f) be the third derivative of -f**5/60 + f**4/12 + f**3 + 6*f**2. What is h(w)?
-18
Let v(b) = b**3 + 3*b**2 - 8*b - 3. Let j(o) = o**2 + 21*o + 85. Let q be j(-6). Give v(q).
-13
Let p(n) = -5*n - 57. Let m(x) = -x - 11. Let y(u) = 12*m(u) - 3*p(u). Give y(-10).
9
Let c(k) = 4*k + 109 + 114 - 329 + 106. Give c(5).
20
Let y = 31 - 25. Suppose 0 = 26*t - 28*t + y. Let j(a) = -3*a + 2 - t + 2. What is j(2)?
-5
Let d(p) = 0 + 5244*p**3 + 5 + p**2 - 5243*p**3 - 3. Suppose -5*a + 3*v - 3 = 0, -2 = -a - 5*v + 3. Give d(a).
2
Let v be (-1)/(1 - (-5)/(-4)). Let w(p) = 8*p + 16. Let j(y) = -17*y - 35. Let x(m) = -6*j(m) - 13*w(m). What is x(v)?
-6
Let n(f) = 3*f - 2*f + 29 - 4*f - f. Let t(i) = -i + 7. Let b(l) = -2*n(l) + 9*t(l). Calculate b(9).
-4
Let g(a) = -a - 6. Let v(n) = 5*n + 31. Let y(d) = 2*d**2. Let k be y(1). Suppose l - 3 = 2*r, -r + k + 2 = 0. Let b(m) = l*g(m) + 2*v(m). Give b(4).
-8
Suppose -a - 135 = -16*a. Let y(t) = 2*t**3 - 17*t**2 - 11*t + 12. Calculate y(a).
-6
Suppose -2*i + 0 = -12. Let p(j) = -1. Let a(n) = n + 8. Let r be (-3)/(-4) + 7/(-4). Let x(k) = r*a(k) - 4*p(k). What is x(i)?
-10
Let j(f) = f + 4. Suppose -y + 41 = 2*z, -5*z - 2*y - 2*y = -101. Suppose m + 4*m - 4*c + 126 = 0, 0 = 2*m + 4*c + 56. Let q = z + m. Give j(q).
-1
Let b(x) = -x**3 - 7*x**2 - 6*x + 4. Let t = -57 - -63. Let p be (3 - 1)/(-4 - -6). Let y be (-1)/(1/p)*t. Calculate b(y).
4
Let n(v) be the third derivative of -
|
{
"pile_set_name": "DM Mathematics"
}
|
lify r*r**1*r*r**(-1/3)/r*r assuming r is positive.
r**(8/3)
Simplify ((y**0)**22)**37 assuming y is positive.
1
Simplify ((g/(g**(-2)/g*g))/g)/g**(-9) assuming g is positive.
g**11
Simplify (a*a*a*a/(a*a**(-15)*a)*a*a*a*a)/a**1 assuming a is positive.
a**20
Simplify (v/(v*v*v/((v/(v*v**(-2/7)))/v)*v*v*v*v)*v*v*v/((v/(v/(v**(-4)*v)))/v))/((v*v**(1/2)*v)/v**(1/3)) assuming v is positive.
v**(-79/42)
Simplify (n*n/n**(-2/11)*n)/(n*n**(-16)/n*n) assuming n is positive.
n**(200/11)
Simplify (w**(-1/5)/w)/w**(-1/2)*((w*w**(1/2))/w)/w*w*w**5/w*w assuming w is positive.
w**(24/5)
Simplify u**(-1/7)/(u**3*u) assuming u is positive.
u**(-29/7)
Simplify ((i*i/i**7)/(i*i/i**(-1/6)))/(i*i/(i*i**1)*i)**45 assuming i is positive.
i**(-313/6)
Simplify w**(-3/8)/w**(-6/7) assuming w is positive.
w**(27/56)
Simplify (v/(v/((v/v**(-16))/v)))/v**(-6/13) assuming v is positive.
v**(214/13)
Simplify (o**6)**(-49) assuming o is positive.
o**(-294)
Simplify (d/(d*d**18)*d)/(d*d*d**17/d) assuming d is positive.
d**(-35)
Simplify a*((a**(-6)*a*a)/a*a)/a*a*(a/(a*a**(5/3)))/a*a assuming a is positive.
a**(-14/3)
Simplify (a/a**7)**(2/131) assuming a is positive.
a**(-12/131)
Simplify (v/v**(-2/5)*v**(-1))/(v/(((v**(-1)*v)/v)/v))**36 assuming v is positive.
v**(-538/5)
Simplify k*k**(-32)*(((k*((k**(-19)*k)/k)/k*k*k)/k)/k)/k assuming k is positive.
k**(-51)
Simplify ((t/(t*t**0*t))/t)**(1/40)*(t/t**(2/3))**(-4/13) assuming t is positive.
t**(-119/780)
Simplify (w**(-4)/w)/w**(-7)*w**(-5/3)/(w*w/w**(-1/4)) assuming w is positive.
w**(-23/12)
Simplify n/(n/n**(-16))*n*n**12*n*n assuming n is positive.
1/n
Simplify (l/l**(-1))**(-36)/(l*l**5*l/((l**(1/2)*l)/l*l)) assuming l is positive.
l**(-155/2)
Simplify j**(-9)/(j**(2/93)/j) assuming j is positive.
j**(-746/93)
Simplify ((n*n**(2/11))**41)**(-1/25) assuming n is positive.
n**(-533/275)
Simplify ((g/(g*g/g**(-1/3))*g*g)/g)/g**(-5) assuming g is positive.
g**(14/3)
Simplify (v/v**(-3/8)*v*v**5/v)/(v**(2/3))**(3/13) assuming v is positive.
v**(647/104)
Simplify (a*a*a/a**16)**(-32/3) assuming a is positive.
a**(416/3)
Simplify (k*k**(3/2)/k)**(1/42)*(k**8*k)/(k*(((k*k**(1/6))/k)/k)/k) assuming k is positive.
k**(829/84)
Simplify (((x**4*x)/x*x)/x**(2/9))**37 assuming x is positive.
x**(1591/9)
Simplify y/(((y/(y/(y*y**4))*y)/y)/y)*y**0*y**(2/23)*y/(y/(y/(y/y**(2/7)))) assuming y is positive.
y**(-423/161)
Simplify (f**(7/5)*f**(2/3))**(-2/7) assuming f is positive.
f**(-62/105)
Simplify (c**(-7)*c**(-6))**2 assuming c is positive.
c**(-26)
Simplify ((o**(-7/4)*o)/o)**(-2/91) assuming o is positive.
o**(1/26)
Simplify (g**(1/2)/(g**(-1/5)*g))**26 assuming g is positive.
g**(-39/5)
Simplify r**(-3/14)/(r*r/r**(3/10)) assuming r is positive.
r**(-67/35)
Simplify (k*k**31*k)**(-7/11) assuming k is positive.
k**(-21)
Simplify ((n*n**7*n)/n*n**(2/9))/(n/(n**0*n))**(23/2) assuming n is positive.
n**(74/9)
Simplify (u/(u/(u*(u/u**8*u)/u)*u)*u*u**(-6)*u)/(u**(-1/3))**38 assuming u is positive.
u**(5/3)
Simplify ((i*i*i**(2/5))**(-22))**(2/39) assuming i is positive.
i**(-176/65)
Simplify k*k/(k/k**7)*k*k**(1/6)*k assuming k is positive.
k**(61/6)
Simplify (v/(v*v*v**(-1/16)*v))/v**(2/37) assuming v is positive.
v**(-1179/592)
Simplify s**(-1/32)/((s**13*s)/s) assuming s is positive.
s**(-417/32)
Simplify z**29*z**(-20) assuming z is positive.
z**9
Simplify ((p*(p*p/p**5)/p)/p**(-4/9))**(4/11) assuming p is positive.
p**(-92/99)
Simplify (o/o**1)**(-5) assuming o is positive.
1
Simplify ((u/(u*u**12*u*u)*u*u)/(u*u**(-2/43)*u*u))**38 assuming u is positive.
u**(-24434/43)
Simplify (d**(1/4))**16*d**(-1/3)*d*d**(-2/7) assuming d is positive.
d**(92/21)
Simplify m**(-1/5)*m*((m*m**4/m)/m)/m*m*m*m**(5/3)/m*m**(-4)*m assuming m is positive.
m**(37/15)
Simplify ((s**(-2/11)/s)**3)**(32/3) assuming s is positive.
s**(-416/11)
Simplify (i**1/i)**(16/9)*((((i/i**(-3/5))/i)/i)/i)/i**(-3/5) assuming i is positive.
i**(-4/5)
Simplify (b*b*b/(b*b**6*b))/((b**13*b)/b) assuming b is positive.
b**(-18)
Simplify v**2*(v/(v**3*v))/v*v assuming v is positive.
1/v
Simplify (z**(-12))**(-1/12) assuming z is positive.
z
Simplify x/(x**(-2/15)*x)*x*x**(-6/7)*x*x*x*(x*x**(-3/5))/x*x/(x**(6/7)*x) assuming x is positive.
x**(191/105)
Simplify (p/(p/p**(-7))*p*(p/p**(-1/3))/p)**(-18) assuming p is positive.
p**102
Simplify g**(1/4)*g*g/g**19*g*g assuming g is positive.
g**(-59/4)
Simplify k/k**(-4)*(k*k**(-23))/k*k assuming k is positive.
k**(-17)
Simplify t**(-43)*t/t**(-46) assuming t is positive.
t**4
Simplify (h/h**(-2/9)*h**(5/4))**(1/3) assuming h is positive.
h**(89/108)
Simplify d*d**(-15)*(d/(d*(d*(((d/d**(-2/35))/d)/d*d)/d)/d))/d assuming d is positive.
d**(-492/35)
Simplify k**(-4/13)*k*k**(-17) assuming k is positive.
k**(-212/13)
Simplify y**(-4/9)*y**23 assuming y is positive.
y**(203/9)
Simplify (x**0/x*x)**33*(x**0)**1 assuming x is positive.
1
Simplify (k*(k/(k*k/(k**(-1/5)*k)))/k*k**(5/3)/k)/(k/k**(1/4))**(-28) assuming k is positive.
k**(322/15)
Simplify d/(d**8*d)*d*d**3*(d*d**4*d*d*d*d)/d*d/d**1 assuming d is positive.
d**4
Simplify (i**(1/5)*i**1*i)/((i**(1/16)/i)/(i**(1/8)/i)) assuming i is positive.
i**(181/80)
Simplify (s*s**17)/s*s**(2/83) assuming s is positive.
s**(1413/83)
Simplify (y*(y*y**(-34/5))/y*y)**(2/173) assuming y is positive.
y**(-48/865)
Simplify (r**(3/10)/r)/r**2*r/(r*r**(6/7))*r/r**(-1/12) assuming r is positive.
r**(-1039/420)
Simplify ((q/((q*q**(-3/8))/q))**(2/45))**23 assuming q is positive.
q**(253/180)
Simplify m**(-2/11)*m**(-6)*m*m**4*m/m**(-6) assuming m is positive.
m**(64/11)
Simplify ((u**(-5)*u)/u*u*u*u*u**(-10/9)*u*u)**(-24/11) assuming u is positive.
u**(80/33)
Simplify (t*t*t*t*(t/(t/(t*t*t*t**(1/4))))/t)**(-37) assuming t is positive.
t**(-925/4)
Simplify p**(-9)/p*p**(-18)*p assuming p is positive.
p**(-27)
Simplify (j*j*j**(-1))**(-14) assuming j is positive.
j**(-14)
Simplify (p**(2/5))**4*(p/p**1)**(2/11) assuming p is positive.
p**(8/5)
Simplify i**1*i**44 assuming i is positive.
i**45
Simplify (x*x/x**(1/3))**42*(x/(x/(x**(-3)/x))*x)/x**(-5) assuming x is positive.
x**72
Simplify ((z**(1/3)/z)**13)**(-20/11) assuming z is positive.
z**(520/33)
Simplify ((n**(-1)/n)/n*(n/n**8)/n)/(n**(-2/9)/(n*n**(-1/2))) assuming n is positive.
n**(-185/18)
Simplify (k**(2/9))**39/((k**2/k)/(k/(k/(k**5/k)))) assuming k is positive.
k**(35/3)
Simplify (((c*(c/(c*(c/c**(-6))/c))/c)/c)/c)**13 assuming c is positive.
c**(-104)
Simplify (y*y/y**(-8))/(y**5/y*y) assuming y is positive.
y**5
Simplify (z**(2/15)/z)**(10/11) assuming z is positive.
z**(-26/33)
Simplify ((v*v/(v/((v*v*v/((v*v*v/(((v*(v/v**(1/3))/v)/v*v)/v)*v*v*v)/v))/v)*v))/v)**(-16)/(v**(-2/3))**(-28) assuming v is positive.
v**(152/3)
Simplify (y*y**(-2/11)*y*y**(-2/7))/(y*y**10*y*y/y**(-8)) assuming y is positive.
y**(-1499/77)
Simplify ((((i*i**(-1/4))/i)/i)/(i**(-1/4)*i))/(i/((i/((i/i**(-2/13))/i)*i)/i)*i/(i/(i**(2/17)*i*i))) assuming i is positive.
i**(-944/221)
Simplify ((p/(p*p**0*p*p)*p)/p*p*(p*(p**(-2)*p*p)/p)/p*p)**15 assuming p is positive.
p**(-15)
Simplify (p/(p**2/p)*p*p*(p/p**(1/3))/p*p)/((p**2/p)/p*p*p**(-1/2)) assuming p is positive.
p**(13/6)
Simplify (x*x/(x/x**6)*x)/(x*x**1)*(x*(x/(x*x**(1/8)/x))/x)/((x*x**(-1))/x) assuming x is positive.
x**(63/8)
Simplify (q*q/(q/q**(-2/5)))**(-6/5)*(q**(2/3))**(6/11) assuming q is positive.
q**(-98/275)
Simplify (((i/i**2)/i)/i)**(3/4)/(i**2*i)**(1/15) assuming i is positive.
i**(-49/20)
Simplify (r**2*r/(r*r/r**(-1/3)*r))/((r*r**(2/5))/r)**(-21) assuming r is positive.
r**(121/15)
Simplify ((u/(u*u*u**3))/u**(-5))/(u**(-1)/((u**(-6)*u)/u)) assuming u is positive.
u**(-4)
Simplify (k**7/k)/k*k**(-7)*k*(k*k**(-2))/k*k*k*k/(k/(k*k*k*k*k*k**(1/3))*k) assuming k is positive.
k**(10/3)
Simplify g/((g/(g/g**(-2/27)*g)*g)/g)*g**(-12) assuming g is positive.
g**(-268/27)
Simplify z**32/z**(2/5) assuming z is positive.
z**(158/5)
Simplify j**2*j*j/((j/(j*j**13/j))/j) assuming j is positive.
j**17
Simplify (w**(-2/9))**47*((w*w**(-9))/w)/w**(7/5) assuming w is positive.
w**(-938/45)
Simplify (k**(-9/4)/k)**28 assuming k is positive.
k**(-91)
Simplify (l*l**0/l)**6/(l**(-1/2)/l)**12 assuming l is positive.
l**18
Simplify (g**(-1/7))**(-46) assuming g is positive.
g**(46/7)
Simplify u**4*u**7*((u**(2/17
|
{
"pile_set_name": "DM Mathematics"
}
|
is smaller: 0 or 3570?
0
Which is bigger: 1 or -1852?
1
Does 520 = 510?
False
Is 250 <= 246?
False
Is -0.3 less than 2.95?
True
Is -18 less than 34?
True
Which is smaller: 12 or -4?
-4
Does -1/80 = -175?
False
Is -0.21 at least 6?
False
Which is smaller: 0.11046 or 0.1?
0.1
Which is smaller: 0.1 or -1144?
-1144
Do -4 and 6/7 have different values?
True
Is -121 < -0.1?
True
Do 2174 and 2174 have different values?
False
Is -1/40 at most as big as 192?
True
Which is smaller: 269/16 or 16?
16
Do 0.028 and 25 have different values?
True
Which is smaller: 6/11 or 36?
6/11
Is 1217 at most as big as 3?
False
Is 0 at most -1859?
False
Is 1473 != 1472?
True
Is -0.2 less than -3/5?
False
Which is smaller: 70 or -8?
-8
Which is bigger: -1 or -11/151?
-11/151
Is -17 smaller than -18?
False
Which is smaller: 262/3 or 86?
86
Which is greater: -1 or -1/13969?
-1/13969
Is -81 != -80?
True
Is -33/5 < -8?
False
Which is smaller: 0 or -3/20246?
-3/20246
Is -0.5 bigger than 11?
False
Are -16/61 and 0 nonequal?
True
Which is smaller: 1 or 3/20?
3/20
Which is smaller: 0 or 7?
0
Which is smaller: 5705 or 5707?
5705
Is -17.6 greater than 2/9?
False
Which is greater: -591/61 or -9?
-9
Does -0.046 = -2?
False
Which is greater: 194 or -15?
194
Is 552 less than or equal to 554?
True
Which is smaller: 0 or -309?
-309
Are 21/1048 and -1 equal?
False
Is 45 <= 10?
False
Is -4/349 != 1?
True
Which is smaller: 504 or 506?
504
Are 0 and -8/31 non-equal?
True
Which is greater: 82/3 or 26?
82/3
Is 820 at most 820?
True
Which is smaller: -1039 or -1040?
-1040
Is 1174 > 2/7?
True
Which is smaller: 0 or -1/775?
-1/775
Is 28 != -5/7?
True
Is 1/11 at most as big as 14.6?
True
Are -22/37 and -2 unequal?
True
Which is smaller: -4 or 144?
-4
Is 17 at least as big as 2/5?
True
Which is greater: -28 or -499/17?
-28
Is -6 != -39/7?
True
Which is smaller: 186/17 or 1?
1
Is -337 greater than or equal to -332?
False
Which is greater: 426/7 or 60?
426/7
Is 0 greater than -1146?
True
Which is smaller: 0.03 or 240?
0.03
Which is smaller: 2.7 or 3/7?
3/7
Is -181 < -723/4?
True
Which is bigger: 1/331 or 0?
1/331
Is -141 less than or equal to -141?
True
Which is smaller: -102/809 or 0?
-102/809
Which is smaller: -278 or -280?
-280
Which is smaller: -44629/4 or -11157?
-44629/4
Which is greater: -342 or -685/2?
-342
Which is greater: -640 or -639?
-639
Which is smaller: 13/100 or 1?
13/100
Are -1/931 and 1 equal?
False
Are 24/19 and 2 nonequal?
True
Are 67.93 and -0.1 nonequal?
True
Is 256 greater than 265?
False
Which is smaller: -209 or -214?
-214
Which is smaller: 2/267 or 0.2?
2/267
Is -25 bigger than 0.01?
False
Is -1 not equal to -8372?
True
Is 1036 less than 2?
False
Is 54/29 less than 3?
True
Which is smaller: 510/7 or 74?
510/7
Is 217/2 smaller than 109?
True
Which is greater: -1 or -3/362?
-3/362
Is 18/443 less than -1?
False
Do -210 and -210 have different values?
False
Is -393 less than or equal to -394?
False
Which is greater: 428 or -1/6?
428
Which is smaller: -2/1423 or 1?
-2/1423
Is 34 bigger than 36?
False
Which is smaller: 0.1 or 2903?
0.1
Do -2537 and -12682/5 have the same value?
False
Is 104 >= 74?
True
Is 1 equal to 25?
False
Which is greater: -377/8 or -48?
-377/8
Which is smaller: 24 or 124/5?
24
Which is greater: 98 or 9?
98
Which is smaller: -306 or 2?
-306
Does -7 = -102/13?
False
Are -477 and -480 equal?
False
Is 2/44911 != -1?
True
Which is bigger: 5 or -4?
5
Which is bigger: 0 or -2/949?
0
Which is bigger: -73 or -72?
-72
Which is bigger: 1 or 24/167?
1
Which is smaller: -1612/9 or -1?
-1612/9
Which is smaller: 1271 or 1273?
1271
Is 18/329 at least as big as -1?
True
Which is smaller: 0 or -4/15?
-4/15
Which is smaller: 16 or -2/315?
-2/315
Are 674 and 675 unequal?
True
Is 540 greater than or equal to 2/11?
True
Is 1/10 != 1245?
True
Is 22 > -15?
True
Is 46/1485 greater than or equal to 1?
False
Is 2 at least 30/19?
True
Do 62 and 81 have different values?
True
Which is smaller: 78 or 91?
78
Is -7207 > -7208?
True
Do 115 and 112 have different values?
True
Which is greater: -0.05 or -1.11?
-0.05
Which is greater: -69/4 or -17?
-17
Which is greater: 20 or 16?
20
Which is greater: -427 or 1/7?
1/7
Which is smaller: 4 or 137?
4
Is 9/7 < 1/3?
False
Which is smaller: 0.0058 or 1?
0.0058
Is 1/4 <= -2213?
False
Is -72 < -143/2?
True
Which is smaller: 0 or 44/101?
0
Is 685 greater than 686?
False
Are -2/2055 and -1 equal?
False
Is -20 >= -13/14?
False
Is 1 < 9/101?
False
Is -46494 <= -46493?
True
Which is smaller: 0.1 or -313?
-313
Is 621 at most 620?
False
Is 117 less than 2?
False
Are -0.1 and 39509 nonequal?
True
Is 649 at least as big as 1948/3?
False
Is -137/69 at least as big as 0?
False
Is 2/9 bigger than -291?
True
Is -4/3 > -35?
True
Which is greater: 12 or -94?
12
Are 159 and 160 equal?
False
Which is bigger: -2/13 or -8/235?
-8/235
Is 1/129 less than 0?
False
Which is bigger: -136/157 or -2?
-136/157
Is -5/8 >= 0.08?
False
Which is smaller: -0.61 or 3/2?
-0.61
Which is smaller: -29 or -37?
-37
Which is greater: 643/4 or 162?
162
Which is smaller: 1/2 or 4218?
1/2
Which is greater: 9 or 8?
9
Which is smaller: 2 or 79/86?
79/86
Which is greater: 4185 or 4186?
4186
Is 181 greater than 157?
True
Which is greater: -2 or 54?
54
Which is smaller: 47 or 49?
47
Is -142 less than -147?
False
Is -1/19170 < 1?
True
Which is smaller: -1/3 or -0.701?
-0.701
Which is smaller: -1/82731 or 0?
-1/82731
Which is bigger: -1606 or -1610?
-1606
Is -1 greater than or equal to 10/257?
False
Is 309 less than 313?
True
Is 0 at most as big as -2/487?
False
Is -205 at most -198?
True
Is 2/5 <= -1228?
False
Which is greater: -1/1116 or 1?
1
Which is greater: 476/23 or 22?
22
Is 3.1 smaller than 1/13?
False
Is -4 smaller than -24?
False
Which is bigger: 79 or 80?
80
Which is smaller: -269 or -208?
-269
Are 15.4 and 22 unequal?
True
Is 1 smaller than -10/67?
False
Which is greater: -25 or -27?
-25
Which is smaller: -1 or 10/51?
-1
Are -276/7 and -38 non-equal?
True
Which is greater: -1371 or -1391?
-1371
Is 1/4 > -728/17?
True
Which is bigger: -9 or -322?
-9
Which is bigger: 0 or 2/1173?
2/1173
Is 0.1 greater than or equal to 0.2612?
False
Are 193 and -2 nonequal?
True
Are -1 and 12/385 equal?
False
Is 2 < -20?
False
Are 1 and -1/29 equal?
False
Which is smaller: -5/497 or 1/5?
-5/497
Is -5 at most as big as 5?
True
Is -4 != -173/46?
True
Which is greater: 411 or 410?
411
Is -135/2 greater than -67?
False
Which is smaller: -4988 or -4989?
-4989
Which is smaller: 53 or 1/3?
1/3
Does 1795 = 1793?
False
Which is smaller: -62 or -13?
-62
Which is greater: 27 or 77/3?
27
Which is smaller: 0 or 39?
0
Is -1 greater than or equal to 9/325?
False
Is 7 greater than or equal to 27?
False
Is -300 less than -299?
True
Are 14 and 13 non-equal?
True
Do 51 and 358/7 have the same value?
False
Which is bigger: -1 or -16/701?
-16/701
Is 953 at most as big as 951?
False
Is -2/891 less than 1?
True
Is -0.918 bigger than 9/5?
False
Which is greater: 220 or 221?
221
Is -4 bigger than -3/499?
False
Which is smaller: -7 or 56?
-7
Which is smaller: 8 or -0.18?
-0.18
Which is smaller: -3/8 or 2.04?
-3/8
Which is smaller: -115 or -103?
-115
Which is smaller: -147 or 40?
-147
Is 84 smaller than 84?
False
Is 327 smaller than 328?
True
Are -29 and -27 nonequal?
True
Is -11/6 greater than 4?
False
Is 2/79 smaller than -0.8?
False
Which is smaller: 2346 or 2341?
2341
Is 2 less than 0.346?
False
Which is smaller: -11/10 or 0?
-11/10
Is -534/7 less than -75?
True
Is 43578/11 smaller than 3962?
True
Is 2/48737 greater than -1?
True
Is -412/9 >= -1?
False
Which is smaller: -1 or -3/2?
-3/2
Is -3586 < -3586?
False
Which is greater: 47/13 or 5?
5
Which is bigger: 0.6 or -14/5?
0.6
Which is smaller: -5172 or -5171?
-5172
Do 59/8 and 6 have different values?
True
Does -103 = -103?
True
Are 65 and 17 equal?
False
Is -8 != 61?
True
Is 2/4157 > -1?
True
Is 230 < 230?
False
Is -8015 at least as big as -8016?
True
Which is smaller: 186 or 182?
182
Is 188 smaller than -93?
False
Which is bigger: -4 or -13?
-4
Which is smaller: -0.04 or 107?
-0.04
Is -78 at least as big as -82?
True
Which is smaller: -44 or -16?
-44
Which is greater: -1 or 1/157?
1/157
Which is smaller: 25/123 or -1?
-1
Which is bigger: 2/2531 or 0?
2/2531
Is 1/3 greater t
|
{
"pile_set_name": "DM Mathematics"
}
|
-1
What is the value of 30 + (-6 - 54 - -25)?
-5
Calculate 4 + (4 - -5) + 77 + -77.
13
What is the value of 1 - 13 - -1 - (-9 - (-2 - -5))?
1
3 + (-24 - (-8 + -26))
13
-23 - -22 - (-3 + -6)
8
What is -3 + (-15 + 6 - (1 - 4 - -2))?
-11
What is the value of 28 + (-39 - (-16 - -2))?
3
Calculate 1 - 0 - ((2 - 5) + 11).
-7
Evaluate -7 + 8 + 8 + -7 - -7.
9
What is -23 + 8 + (-37 - -56)?
4
Calculate -45 - ((-96 - -45) + -24).
30
6 + (-25 - -28) + 2 + 8
19
-18 - (-37 + 22 - 7)
4
What is 9 + -5 - (12 + 4) - 0?
-12
0 + 4 + -18 + (-26 + -11 - -29)
-22
What is the value of 1 + -6 + 8 + (-24 - -7)?
-14
Calculate 3 - (-1 + (9 - (6 - 6))).
-5
4 - (-1 - (0 - -2))
7
What is 298 + -317 + (-1 - -5)?
-15
What is 8 - (-9 + 2 - -17)?
-2
What is the value of -2 - (-19 + 19 - 18)?
16
Calculate -7 + -7 - (-10 + 11).
-15
Evaluate (2 + -22 - (64 - 72)) + -9 + 1.
-20
What is 0 - -5 - (211 + -207 - (2 - 9))?
-6
What is the value of 2 - 16 - -7 - ((-12 - -9) + 11)?
-15
-14 - 1 - (-183 - -171)
-3
17 + -28 - (-30 + 9 + -1)
11
What is the value of 4 - 7 - 7 - (13 + (-35 - -1))?
11
Evaluate 22 - (8 + 2) - 14.
-2
What is the value of -96 + 97 - (-12 + 0)?
13
(-1 - (12 + -10)) + -5 + -1
-9
What is -523 - -508 - (-9 + -1)?
-5
Calculate 2 + -8 - -11 - (-21 + 31) - 23.
-28
-28 + 1 - -12 - (-9 + 5)
-11
What is the value of (2 + -9 - (-29 + 14)) + 5?
13
What is 1 - (-2 + 4) - (-39 + 60)?
-22
21 - 1 - (-26 - -42)
4
Evaluate (7 - (2 + 5 + -6) - 0) + 0.
6
-3 + (-10 - (-20 - 11))
18
Evaluate -11 + (9 - ((5 - 14) + 10)).
-3
Evaluate 3 - 23 - (-73 + 66).
-13
-3 - (-12 + 11) - -21 - 3
16
Evaluate -27 + 45 - 8 - (-1 + 4).
7
11 + (2 - -10 - 6) + 3
20
What is the value of -40 - ((0 - 2) + -1) - (-671 + 663)?
-29
What is the value of -153 + 173 + (1 - 0) + (0 - 8)?
13
(-33 - -30) + (6 - -20)
23
Evaluate (-16 - -3) + (-32 - -33).
-12
What is 28 + (9 - 28) + -19?
-10
-22 - (-21 - 31) - 54
-24
-222 + 231 - (-4 + -1) - 8
6
What is -10 - 0 - (-39 - -33 - 11)?
7
Evaluate -4 + (-11 + 14 - 6) - (20 + -4).
-23
22 + (-4 - -4) + (0 - -9 - 16)
15
Evaluate 4 + (2 - -5 - 18) + 26 + -3.
16
Evaluate 7 - ((43 - 16) + -12).
-8
What is the value of -2 - (-21 - (-27 - -14))?
6
-3 - (-1 - -4) - (46 - 9 - 38)
-5
What is -7 + 1 + (-9 - (7 - 10))?
-12
-26 + (11 - (-15 - -14))
-14
Evaluate -20 + 10 + 14 - 0.
4
What is 14 + 2 - ((21 - -1) + 7 + -19)?
6
Evaluate (-17 - -5) + 5 + 27 + 3 + -2.
21
Calculate 8 - (1 - -9) - 4 - 8.
-14
4 + 12 + 3 + -2 + (-8 - -4)
13
Calculate (7 + -7 - 7) + 19 + 0 + 0.
12
What is 5 + -1 - (151 - 157)?
10
-15 - (2 - 9) - (0 + 1 + -11)
2
(12 - 12) + -10 + 3
-7
What is -9 + (4 - 14) - -24?
5
Calculate -14 - (1 - (2 - -11)) - (-16 + 1).
13
What is -4 + 1 + ((9 - 16) + 22 - 16)?
-4
Calculate 3 + 8 + -13 + (-1 + 0 - -13).
10
Evaluate -3 - (-26 + -1 - -13).
11
What is -33 + 45 + -22 - (-1 - 12)?
3
What is -24 + (31 - 8) - -11?
10
What is the value of 17 + -31 - -11 - ((-5 - -4) + 9)?
-11
What is (-204 + 219 - (15 - 1)) + 14?
15
What is 4 + -7 + -3 - (27 - 21)?
-12
What is 1 + (-6 + -3 - (1 + -21))?
12
Calculate -1 + 18 - (48 + -38).
7
(14 + -26 - -10) + (23 - -1)
22
Calculate (-6 - ((-4 - 8) + 7)) + -12.
-13
What is the value of (11 + -3 - -1 - -13) + 9?
31
What is -110 - (-15 + -24) - -48?
-23
114 - 126 - (-26 + (2 - 3))
15
Evaluate (452 - 411) + (-31 - -1).
11
Evaluate -57 + 106 + -54 + (-2 - (-1 + -22)).
16
-19 + ((-16 - 3) + 2 - -52)
16
(51 - 18) + 3 + -45
-9
(4 - 8) + -30 + 24 + 15
5
What is -3 + -40 + 33 - 18?
-28
Evaluate -22 - (-14 - 3) - 1.
-6
What is the value of -2 + (-16 - (16 + -19))?
-15
What is 278 + -273 - ((-9 - 2) + -2)?
18
Evaluate 16 + (-5 - (-1 - 4)) + -7.
9
What is -2 + -3 - (-13 - -19 - 12) - -5?
6
What is the value of 18 - (-10 - -10) - -1 - -2?
21
Calculate -2242 + 2241 - (-18 + (2 - 1)).
16
Evaluate (-5 - (-9 - -3) - -4) + (3 - -1).
9
Calculate 29 + -8 - (8 + 2 + -1).
12
What is the value of 49 - (-4 + 16 + 26)?
11
What is (14 + -48 - -29) + (1 - 19)?
-23
Evaluate -9 + 18 + (-6 - -9).
12
What is the value of 77 + -74 + (9 - -21)?
33
Calculate 22 + (-3 - 6) + -4.
9
Evaluate (-7 - (-11 + -1) - 7) + -15.
-17
Calculate -26 - (-39 - (-10 + 1)).
4
Calculate 2 + -21 + -5 + 15 + 17.
8
Evaluate (7 - 4) + 7 + -6 + 6.
10
13 - (0 - 0 - -4) - -2
11
-12 - (-23 + (-13 - -11) + 2)
11
16 + -14 - -5 - (1 - 3 - -11)
-2
(16 - (8 + -11)) + (-3 - -1)
17
0 + 10 + (305 - 318)
-3
(0 - -26) + (-9 - -5) + -592 + 603
33
What is -1 + 8 + -1 + -3 - (-2 - 7)?
12
What is (-6 + -1 - -4) + 11 - 6 - -4?
6
What is -5 - ((33 - -1) + (-267 - -261))?
-33
What is 14 + (1 - 2) + -19 + -28?
-34
Calculate (0 - ((-2 - 8) + -5 - -6)) + -6.
3
What is (1 - 0 - 14) + 115 + -105?
-3
-17 + (-20 - -10) + 21
-6
Calculate 4 + (6 - 2) + 5 + -3 - -6.
16
-6 - (-2 + (5 - -10 - 8))
-11
What is 1 + -36 - (-681 + 674)?
-28
What is the value of 25 - (25 - 13) - 12?
1
(-6 + -3 - 1) + -3 + 8
-5
What is the value of 0 + (-13 + -23 - -4)?
-32
-6 + -16 + 25 + (2 - 21)
-16
What is 0 + (-7 - -2) - (-23 + (18 - 7))?
7
What is 17 + -3 - (10 + 5 - 11)?
10
What is the value of (7 + -2 - 3) + 11 + (-6 - -3)?
10
Evaluate 50 - 42 - (-30 + 29 - (-1 - 1)).
7
What is (127 + -134 - (-16 - 2)) + -44?
-33
Evaluate 1 - (-10 + (-16 + 10 - -13)).
4
What is the value of -6 - (-10 + 12 + (-13 - -34))?
-29
What is the value of -1 + 5 - (-18 - (4 + (9 - 18)))?
17
Calculate -18 + (20 - 14) + (-1 - -3).
-10
What is the value of (-13 - (-12 + 0) - 11) + 41?
29
Evaluate 14 + 0 + -28 + (-12 - -32).
6
What is 18 + -2 + (4 - -4) + -13?
11
What is the value of -6 - (-54 - -52 - (-15 - -1))?
-18
Evaluate 70 - (-18 - -45) - 28.
15
Evaluate -2 + (-8 - -4) + 0 - -7 - -1.
2
What is -19 + (11 - -16) - (-14 + -3)?
25
What is -8 - (4 + -15) - (4 + 3) - -6?
2
Calculate (9 - -1 - -9) + (-1 - (6 + -4)).
16
What is the value of -17 + 9 - -8 - 6?
-6
What is -5 - (1 - 1) - -18?
13
Evaluate (6 - (17 + -36) - 14) + -43.
-32
What is the value of 1 - (7 - -6 - -2 - 5)?
-9
What is 4 + -10 + 10 - 1?
3
What is -34 + (-21 - 13) + 86?
18
What is -25 - (-22 - (13 - 26))?
-16
What is -18 - -17 - (60 - 68)?
7
What is 7 + -16 - (-72 + 70) - (-27 + 0)?
20
Calculate -3 + 29 + -32 + (-1 + 21 - -1).
15
What is 8 + 27 + -276 + 264?
23
-13 - (-13 + 35 - 28)
-7
(-15 - -20) + (0 - -15)
20
(-4 + -2 - (-31 - -3) - 2) + -3
17
Evaluate 1 - (31 + -34) - (-12 - 0).
16
-4 - ((3 - -22) + -46)
17
Evaluate 5 + (3 - 11) - (-3 - (-3 + -25)).
-28
Calculate (-26 - (-8 - -22)) + 29.
-11
What is the value of -2 - -1 - -17 - (-469 + 454)?
31
What is 10 + ((-41 - -10) + 5 - -6)?
-10
Calculate -58 - -67 - (0 - 0).
9
Calculate -20 - (-12 + 13 - 9 - -9).
-21
Calculate -5 - (3 + (2 - (3 + -5) - 24)).
12
Evaluate -51 + 38 + (-4 - -1 - -3 - -5).
-8
What is (9 - (-7 + (20 - (1 - -4)))) + 0?
1
What is (10 + 6 - (0 - 1)) + (49 - 56)?
10
What is (21 - 18 - 23) + (1 - -8)?
-11
What is the value of 3 - 22 - -6 - -21?
8
What is -87 + 87 + (-1 - 4) + 7?
2
What is 2 - 2 - ((4 - 22) + 7 + -7)?
18
-11 - 3 - (8 + -30) - 44
-36
2 - 8 - (-8 + (-7 - -6 - -6))
-3
6 + -3 - -4 - (1 + 24 + 0)
-18
What is the value of 25 + -14 + -40 + 16?
-13
Calculate (-2 - -1) + (15 - 11) + -5.
-2
What is 8 - (1 + -8 + 3 + 1 + 2)?
9
What is the value of 2 - 1 - (11 + (-7 - -5) + 1)?
-9
Evaluate 18 + (0 - -26) + -15.
29
(-7 - (-2 + -9)) + -2 - (1 + 6)
-5
-4 + 0 + -95 + 95
-4
Evaluate (4 - 10) + (7 - 3 - -4) + -17.
-15
Evaluate 11 - 43 - (-44 + -9).
21
Calculate (-135 - -134) + (4 - 0).
3
Evaluate 2 - (0 + -9 - (66 + -66)).
11
Evaluate -69 + 70 + (1 - 1).
1
Calculate 3 + -9 + -3 + (7 - 0).
-2
What is -13 + (2 - 19) + (-19 - -8 - -19)?
-22
(-3 - 32) + -23 + 85
27
Calculate (-2 - (6 + (-4 - 6)) - -4) + -3.
3
Calculate (20 - 36) + 21 + (-2 - (-1 - 0)).
4
Calculate -30 + (28 - 30 - -10).
-22
What is -1 + -3 - 2 - (-5 + 6) - -10?
3
2 - -6 - (7 + 0 + 4)
-3
Calculate 27 + (-3 - (7 + (2 - (2 - -3)))).
20
What is the value of -2 - (-2 + -7) - (-10 + -2 + 19)?
0
Calculate 23 + (-15 + -8 + 6 - -10).
16
What is 224 + -217 - ((0 - -14) + 2)?
-9
65 + -35 - 46 - (-19 + -1)
4
Evaluate (-2 - -18) + (-4 - 38).
-26
What is the value of (-71 - -21) + 23 + 4?
-23
What is 5 - (-5 + -2 - -14) - (46 - 36)?
-12
Calculate -5 + (7 + 3 - 5) + 9.
9
What is the value of -36 - -3 - -19 - (-26 - -1)?
11
Calculate 25 + (-8 - -15) + -35.
-3
-11 + -2 + -29 + 45
3
-67 + 54 + (6 - -6) + -17 +
|
{
"pile_set_name": "DM Mathematics"
}
|
e (((-912)/10)/(-24))/((-17)/(-85)).
19
(2*81/60)/(21*(-10)/175)
-9/4
What is the value of 1*21*(-34)/2958*-29?
7
Calculate (1/(18/12))/(1*5/(-30)).
-4
What is the value of ((-1)/3)/(25*(-17)/(-3825))?
-3
What is (-4)/3*(-453)/302?
2
Evaluate (8/16)/(2*(-6)/120).
-5
What is the value of -6*(-2)/(-3)*((-28)/28)/44?
1/11
What is (-156)/(-91)*(4/40)/((-3)/(-21))?
6/5
((-4)/308)/(44/4466*29)
-1/22
What is the value of ((-28)/14)/(((-32)/2)/(-4))?
-1/2
What is the value of (((-231)/(-42))/(-11))/((-116)/(-8))?
-1/29
What is the value of (124/(-93))/(4/(-30))?
10
What is 36/7*(-154)/66?
-12
((-3)/(10/32*-4))/(8/(-40))
-12
Calculate -15*19/(-855)*(-9)/3.
-1
Evaluate 4/((-48)/(-108))*(1/(-12))/1.
-3/4
73/(949/(-78))*1/3
-2
Evaluate ((-9325)/7460)/(10/2).
-1/4
What is 3*((-3)/(-9))/1*16/(-2)?
-8
(5/5*1)/(19/247)
13
Evaluate (((-1225)/(-14))/5)/5.
7/2
Calculate 43510/6870*(-6)/(-1).
38
Evaluate ((-4)/(64/(-20)))/((-134)/536).
-5
What is the value of (-18*2/(-20))/(32253/8270)?
6/13
(630/120)/(126/108)
9/2
What is the value of 6*(-35)/(-4)*(-55)/(-825)?
7/2
Evaluate ((-520)/(-50))/((-240)/600).
-26
What is 24/(-234)*1422/316?
-6/13
What is the value of (1080/(-400))/(-27)*-1?
-1/10
Calculate ((-4)/7)/((-48)/(-42)*(-120)/32).
2/15
What is the value of 3/(-7)*(-19)/(-57)?
-1/7
Evaluate (-2)/6*-11*(-32)/((-544)/51).
11
40/24*198/(-550)
-3/5
-5*(-1)/3*558/(-93)
-10
Evaluate ((-3)/(-1))/(96/224*1).
7
Evaluate ((-28)/(-252)*12/2)/((-3)/(-54)).
12
What is the value of (-11)/(9*(-7)/(-21))?
-11/3
Evaluate ((-28)/(-2))/((-3*12/36)/(-1)).
14
Calculate (1*(-84)/44)/((-51)/(85/5)).
7/11
What is (16/12*75/(-35))/(4/28)?
-20
Calculate ((-4)/((-448)/(-24)))/((-30)/35*1).
1/4
Calculate (-3)/(-3)*(-16)/(-40)*(-4)/(-8).
1/5
What is the value of (32/(-32))/((-6)/(-38))?
-19/3
((-8)/(-20))/((40/750)/((-8)/(-80)))
3/4
What is the value of (35/(-60))/((5/(-6))/5)?
7/2
(-2*(-22)/(-12))/(((-18)/9)/(-6))
-11
What is the value of (2/2)/((-3)/18*14)?
-3/7
What is 11/4*(-12)/((-3)/1)?
11
(594/15)/(-22)*-1*(-20)/(-6)
6
What is the value of ((-25)/(-225))/(6/(-27))*4?
-2
Calculate (-9)/(-65)*(-1420)/(-852).
3/13
What is (18*2/16)/((-957)/14036)?
-33
Evaluate 81/(-45)*5/(-45).
1/5
(-3*2)/((-13635)/(-606))
-4/15
((3/30)/1)/(4*17/34)
1/20
What is 5*-8*(-16)/320*10*1?
20
(-2)/1*1450/100
-29
5/(-12)*(-900)/1000
3/8
What is 798/(-1064)*((-16)/15)/(8/(-80))?
-8
(-8)/(-48)*-66*-1
11
What is the value of (-253)/(-46)*-4*(-5)/110?
1
Calculate (-70)/168*2*(3/(-1))/15.
1/6
Calculate (84/18)/(4/10*(-110)/33).
-7/2
What is the value of (56/12)/((-3)/(-18))*(-32)/(-128)?
7
What is the value of ((-410)/(-123))/(4/6)?
5
3430/(-980)*(-3)/56
3/16
What is (-20)/3*906/(-1208)?
5
Calculate (-27*2/4)/(11/220*-15).
18
28/35*(7/84)/((-5)/45)
-3/5
Calculate ((-84)/30)/7*(-39)/(624/640).
16
Evaluate ((-38)/(-380))/((-5)/40*4).
-1/5
(4/6)/((1820/63)/(-13))
-3/10
2*7/((-56)/60)
-15
What is the value of ((-8)/6)/(4/3)?
-1
Evaluate (592/(-74))/(8/(-13)).
13
What is (-18)/120*-5*-8?
-6
Evaluate 11*((-66)/(-121))/(-3).
-2
What is 15*5/21*23/115?
5/7
Evaluate ((-8)/(240/(-18)))/((-15)/10).
-2/5
Calculate (2625/44100)/((-2)/(-8))*14/(-4).
-5/6
Evaluate (-46)/(-3)*(7896/112)/47.
23
What is 48/(40/10)*((-9)/3)/30?
-6/5
(13*1)/((-236)/236)
-13
What is (4/(-20))/((-88)/55)?
1/8
(-6)/10*(-5)/6*(-12)/34
-3/17
What is (-5*(-15)/(-50))/(-2)*24?
18
What is the value of (27/3*4/(-42))/(-2)?
3/7
Evaluate (6/(-9))/(80/(-48)).
2/5
((-36)/54)/((1/(-30))/((-3)/12))
-5
Evaluate (-3)/(-1*(-14)/(56/20)).
-3/5
Calculate ((-36708)/760)/(-161)*(-10)/(-12).
1/4
Evaluate ((-329)/564)/((-1)/(-8)).
-14/3
What is (-37)/(-37)*0/(-2)?
0
28/(-2184)*-6*1
1/13
-1*(-15)/27*15*(-6)/5
-10
Calculate ((-78)/468)/((-3)/4).
2/9
Evaluate (-4)/12*9*30/72.
-5/4
Calculate (21/(-420))/(4/16).
-1/5
(8/90)/(18*(-62)/837)
-1/15
Calculate (34/(-510)*6)/((-12)/(-170)).
-17/3
What is the value of (((-4)/(32/(-6)))/(-6))/((-18)/3600)?
25
What is the value of 4/185*95/(-418)*-11?
2/37
What is (-51)/6*94/(-47)?
17
What is the value of 170*(-96)/(-320)*1/3?
17
(984/1476)/((-1)/(-48))
32
Evaluate ((-18)/(-20))/(16/32)*10/2.
9
What is (-3*(-4)/180*26)/((-1112)/1390)?
-13/6
What is the value of ((-3)/(-1470)*-8)/(22/(-495)*9)?
2/49
Calculate 3/(-6)*336/(-56).
3
Calculate (-25)/(-5)*(6/150)/((-2)/(-15)).
3/2
Calculate (-36)/(-162)*3*(-90)/4.
-15
(-5)/(-3)*(-5208)/2170
-4
(910/(-49))/(150/(-175))*(-6)/(-10)
13
What is 1*104/1*-17*18/(-2448)?
13
What is ((-405)/(-36))/(-9)*-12*1/5?
3
Calculate (-63)/(-7)*320/(-840)*1/4.
-6/7
((-165)/10)/((-210)/(-140))
-11
140/(-4452)*-8*(-15)/100
-2/53
-2*2/32*8
-1
What is the value of ((-4)/(-1280)*64)/((-1)/20)?
-4
What is (10/(-4))/(-1)*(-45)/(-450)?
1/4
5/(((-4)/6*-5)/((-144)/(-108)))
2
What is 11*(-35)/770*14?
-7
81/27*(-25)/(-9)*2/5
10/3
What is the value of (-2460)/(-4510)*11*5?
30
Evaluate (2668/(-230)*2/(-4))/((-26)/130).
-29
What is the value of (-3*2)/(388/582)?
-9
What is the value of 2/2*4878/(-813)?
-6
What is 5/2*38/(-19)?
-5
What is ((10/(-6))/1)/((225/(-18))/5)?
2/3
What is the value of ((-16)/160)/(2/(-48))*450/(-135)?
-8
What is (39/26)/(10*(-5)/(-700))?
21
(-63)/(-36)*(-48)/(-364)
3/13
Calculate ((-3)/2)/(((-74)/(-148))/(2/11)).
-6/11
Evaluate (36*(-7)/98)/(3/21).
-18
4*3/36*(-44)/132
-1/9
What is (29/(-145))/(2/((-20)/(-2)))?
-1
(2/(((-4)/(-12))/(-1)))/(240/(-12))
3/10
Calculate ((-45)/30)/(12/(-8))*-10.
-10
What is the value of 1/1*0/(-43)*5/(-10)?
0
Evaluate (8/(384/16))/((-2)/(-6)).
1
What is the value of 26/26*(-1)/((-4)/(-20)*5)?
-1
What is the value of (111/(-185))/(66*(-4)/(-16))?
-2/55
Evaluate (-36)/105*1162/1494.
-4/15
What is 4/((-132)/(-11))*0*2/(-4)?
0
Evaluate 243/3*(-196)/(-882).
18
What is the value of (76/190)/((-21)/(-70))?
4/3
7/((11/((-385)/14))/((-2)/(-20)))
-7/4
(6*2/18*-1)/(160/(-60))
1/4
Calculate (-1)/3*((-2142)/70)/17.
3/5
Evaluate 2/10*364/(-91).
-4/5
What is the value of (45/225*(-1)/(-1))/((-6)/70)?
-7/3
(((-36)/(-6))/12)/(80/(-32))
-1/5
Evaluate (-5)/30*(-31)/(1240/(-72)).
-3/10
What is the value of 28/(-6)*(1392/32)/(-29)*1?
7
21*((-624)/84)/13
-12
Evaluate 7/((-70)/(-15))*2482/(-219).
-17
Calculate 4*13/(-104)*28*6/(-21).
4
Calculate (-5670)/(-378)*4/(-250).
-6/25
What is (((-54)/60)/(-3))/(24/(-16))?
-1/5
What is (70/10)/(-12*1/(-2))?
7/6
What is the value of (40/220)/(1/22)?
4
What is ((-56)/(-6))/(-4)*1?
-7/3
Calculate 310/(-62)*10/(-8).
25/4
What is the value of 360/(-1350)*-1*(-1)/(-6)*-25?
-10/9
What is 405/(-15)*((-40)/(-12))/(-10)?
9
(1/18)/((-210)/(-140))
1/27
What is the value of 3157/(-19844)*-4*2?
14/11
Evaluate (-96)/(-15)*(-138)/552.
-8/5
What is (40/6*2/(-4))/((-2)/(-3))?
-5
Evaluate (-20)/272*440/(-275).
2/17
-6*77/22*(-16)/(-28)
-12
4/60*-4*135/(-90)
2/5
(20/15)/(416/520)
5/3
What is ((-1)/(-4))/(-5*(-308)/(-560))?
-1/11
What is the value of (-2)/12*1/((-130)/234)?
3/10
(2/5*-1)/(11/11)
-2/5
Evaluate (597/(-597))/(2/56).
-28
What is the value of (((-1176)/300)/49)/(2*2/(-40))?
4/5
What is (-4)/(-14)*8764/1878?
4/3
Evaluate ((-24)/(-20))/((-93)/310).
-4
10/(-75)*25/560*-4*9
3/14
What is (-59)/236*(-4)/2*-2?
-1
Evaluate (548/(-822))/(2/18).
-6
What is the value of ((-177)/3717)/((3/72)/1)?
-8/7
Calculate (0/45)/((-4)/(-4)).
0
((-555)/(-20))/((-21)/(-8)*56/196)
37
Calculate (153/351*-6)/(26/(-338)).
34
What is the value of ((-5487)/124)/59*4/33?
-1/11
What is (((-9)/6)/(-3))/(4/(32/(-2)))?
-2
Calculate (-21*(-168)/1372)/(1*8/28).
9
Calculate ((-1)/7)/(1549/3098).
-2/7
Evaluate (4/20)/((-21)/(-154)*(-2)/(-3)).
11/5
What is (1/45*10)/((-15)/(-15))?
2/9
What is (272/(646/38))/(4/(-18)*3)?
-24
What is the value of ((-20)/(-6)*24/50)/(26/(-65))?
-4
(-8)/6*(-1)/(160/15)
1/8
Calculate (-9*26/702)/(((-12)/(-9))/4).
-1
Calculate ((-12)/(-36))/(4/9).
3/4
(2/44)/((-24)/(-96))
2/11
-21*(1/(-4))/((-189)/(-216))
6
What is ((-13)/((-260)/96))/(32/(-80)*1)?
-12
32/(-8704)*16*(-12)/4
3/17
6/28*7*1/(-9)
-1/6
Calculate ((-63)/378)/(7/(-455)*(-5)/(-3)).
13/2
Calculate ((-64)/256)/((-60)/(-16))*-195.
13
What is the value of ((-2)/(-120))/((-343)/(-12348))?
3/5
What is (((-53)/(-212))/((-28)/96))/((-6)/(-9))?
-9/7
What is the value of ((-171)/(-2508))/((-2)/(-11))?
3/8
Calculate (5/(-11))/((-1092)/2002).
5/6
(0/22)/((-3)/(-6)*-6)
0
What is the value of (-8)/(-24)*44*(-12)/8?
-22
Calculate (2/
|
{
"pile_set_name": "DM Mathematics"
}
|
et x(i) = i**l + 2*i**2 - 14*i + 19 - 2*i**2. Give x(13).
6
Suppose -9*d = 57 - 1128. Let m = d + -116. Let r(f) = -5*f**2 + 0*f**3 + f**3 + 3*f + 1 + f**2. Determine r(m).
1
Let p = 226 - 118. Let j = -103 + p. Suppose -j = 5*u - 0. Let m(n) = -5*n. What is m(u)?
5
Let n(m) = -m**3 + 10*m**2 - 25*m + 33. Let o = 2902 - 2896. Calculate n(o).
27
Suppose 3428 - 14028 = -25*r. Let y(p) = r*p - 421*p + 7 - 7. What is y(-6)?
-18
Let f(c) be the first derivative of 3*c**2/2 + 56*c - 965. What is f(-26)?
-22
Suppose -2*l + 4*f + 20 = 0, 2*l = l + 3*f + 12. Let m(q) = -7*q**2 - 10*q + 14. Let j(c) = c**2. Let w(i) = l*j(i) + m(i). Calculate w(-11).
3
Suppose -20*l + 21*l = 5*y + 26, -74 = 11*l + 5*y. Let v(i) = i**2 - 7*i - 43. What is v(l)?
1
Let m be 34 - ((-11)/(-22))/((-2)/(-12)). Let d(f) = -f + m*f**2 + 0*f - 6 - 30*f**2. What is d(0)?
-6
Suppose -23*j = -35*j + 24. Let o(s) = 5*s - 3 - 3 + 7*s - 4*s - 28*s**j + 27*s**2. Calculate o(7).
1
Let o(f) be the third derivative of f**5/60 - f**4/4 - 157*f**3/3 + 619*f**2 - 2. Determine o(-15).
1
Let w(d) = d**2 - 10*d - 5. Let q(o) = -16*o + 120. Let h be q(5). Suppose 0 = -21*x + h + 149. What is w(x)?
-14
Let o = -40 - -59. Suppose 0 = -134*a + 225*a. Let l(y) = -3*y + 0*y - y**2 - 3 + o*y**3 + a - 18*y**3. Determine l(3).
6
Let c(u) = 1214*u - 6067. Let q be c(5). Let k(r) = 3*r**2 + 13*r - 57. Determine k(q).
9
Let t(f) = f**3 - 10*f**2 + 23*f - 16. Let u be (-24)/300 - (354/(-50) + 0). What is t(u)?
-2
Let j(k) = 14*k**3 - 3*k**2 + k + 3. Let q be j(3). Let i = q + -369. Let g(o) = -o**2 - 15*o - 30. Give g(i).
6
Let l(m) = -39*m + 42. Let d(f) = 5*f - 234. Let a be d(47). What is l(a)?
3
Let x(l) = -5*l - 14. Let c(p) = p + 1. Let d(y) = -4*c(y) - x(y). Let z be d(10). Suppose 30*a = 25*a - z. Let s(m) = -2*m. Give s(a).
8
Let z(a) = -a**3 - 3*a**2 - 3*a - 2. Let f(q) = q**2 - 15*q - 78. Let x = -141 - -145. Suppose -3*p - x*s = -61, -3*s = 3 - 6. Let d be f(p). Calculate z(d).
0
Let c(g) = -g**3 - 2*g**2 + 4*g + 2. Suppose -31350 = -86*n + 31*n. Let f be n/(-210) + (-6)/21. Calculate c(f).
-1
Let a(i) = i**2 + 9*i - 34. Let p be 0*4*7/28 - 9. Calculate a(p).
-34
Let r(k) be the third derivative of 4*k**2 + 1/2*k**3 + 0*k + 5/24*k**4 + 1/60*k**5 + 8. What is r(-6)?
9
Let r(s) = -s - 20. Let u be r(0). Let i = u + 24. Let w(j) = -39 - 2*j**3 + j**3 + 19 - 5*j + 18 - i*j**2. Give w(-3).
4
Let t(c) = c**3 + 4*c**2 - 5*c - 1. Let i(j) = 0*j**2 + j**3 + j**2 + 2 - 14*j**2 + 2*j - 2*j**3. Let g be i(-13). Let k be (g/(-48))/(2/(-20)). What is t(k)?
-1
Let j(u) = -96*u + 45. Let m(t) = -79*t + 39. Let r(y) = -6*j(y) + 7*m(y). Calculate r(-4).
-89
Let i(b) = -2*b**2 - 9*b - 18. Let f be -6 + 13/(-39)*6. Calculate i(f).
-74
Let n(z) = -z**2 + 27*z + 2472. Let l be n(65). Let w(c) be the third derivative of -7*c**4/24 + c**3/3 - c**2. What is w(l)?
-12
Let q(r) = -6 + 18 - 7 - 2*r - 13 + 0*r - r**3 - 13*r**2. Give q(-13).
18
Let q(w) be the first derivative of -11*w - 40 - 1/2*w**2. Determine q(0).
-11
Suppose 10 - 106 = -3*p. Let l = 36 - p. Suppose l*c = 2*o + 2, -22 = 5*o - 4*c + 1. Let i(r) = r**3 + 8*r**2 + 9*r + 9. What is i(o)?
-5
Let h(j) = -j**2 - 6*j + 18. Let d = 22903 - 22912. Calculate h(d).
-9
Suppose 5*d + 3958 = 4068. Let l(o) be the second derivative of 3*o**2 - d*o + 0 + 2/3*o**3. What is l(-4)?
-10
Let s be (-3)/5 + ((-728)/(-35))/8. Let r(l) = s - 27*l + 0 + 30*l. Determine r(-3).
-7
Let t(b) be the third derivative of 49*b**6/120 + b**5/60 - b**4/12 + b**3/6 + 2744*b**2. What is t(1)?
49
Let z(g) = 9*g - 537. Let h(u) = 2*u - 102. Let w(b) = 11*h(b) - 2*z(b). Give w(13).
4
Let i(c) be the third derivative of c**4/24 - 15*c**3 + 9*c**2 + 85*c + 2. Determine i(-10).
-100
Let z(u) be the second derivative of 7*u**3/6 + 68*u**2 - 362*u - 2. What is z(-18)?
10
Let j(g) = 5*g + 42. Let r(k) = 11*k + 93. Let q(l) = -9*j(l) + 4*r(l). Calculate q(-10).
4
Let z(f) = -f**3 - 7*f**2 - f + 1. Let y(b) = b**3 + 23*b**2 + 26*b + 87. Let t be y(-22). Let m(n) = 7*n**3 - n - 1. Let a be m(t). What is z(a)?
8
Let i be (3052/(-84) - -36)*-9. Let u(t) = 3*t**2 - 7*t + 2. Let d(l) = -l**2 + l + 1. Let b(k) = 2*d(k) + u(k). Give b(i).
-2
Let h(k) = -3*k - 33. Suppose 0 = -67*y + 167*y + 500. What is h(y)?
-18
Let m(f) = -11*f**2 + 16*f + 31. Let x(v) = -8*v**2 + 15*v + 26. Let g(u) = 3*m(u) - 4*x(u). Determine g(-13).
-24
Suppose -3*j - 2*g = 2, 0 = 5*g - 13 - 27. Let a(w) = 5*w - 2*w**2 - w - 4 + 3*w**2. What is a(j)?
8
Suppose -4*w + 26105 = 26077. Let k(c) = -c**3 + 7*c**2 + c - 5. What is k(w)?
2
Let h(p) = -3*p + 3. Let l(y) = 3*y - 72. Suppose -a + 3*j - 35 = -2*a, -a = -2*j - 15. Let w be l(a). Calculate h(w).
12
Let h(w) = w**3 + 38*w**2 + 73*w + 37. Let p be h(-36). Let v be 20/6*p*6/5. Let b(z) = 1. Let g(q) = q + 6. Let x(t) = 3*b(t) - g(t). Calculate x(v).
-7
Let i(o) = -o**2 - 7. Let w be i(0). Let k = w - -6. Let y(a) = -a - 21*a**2 + 16 + 14 + 12 + 14 - 57. What is y(k)?
-21
Let s(b) be the third derivative of 1/60*b**5 + 4/3*b**3 + 138*b**2 + 1/24*b**4 + 0 - 1/120*b**6 + 0*b. Suppose -2*i = -0*i. Calculate s(i).
8
Let w(b) be the first derivative of 3*b**2/2 - 27*b + 34. Suppose 36*n + 3 = 38*n + 3*g, -3*g = 5*n - 30. Determine w(n).
0
Let m(p) = -p**2 - 4*p + 23. Let n be m(-7). Let o be (-1 + 1)/(0/(-3) + n). Let y(d) = -d**2 - 21. Calculate y(o).
-21
Let n(k) = k**3 + 12*k**2 - 29*k - 16. Let r(z) = 10*z**2 - 139*z + 103. Let v be r(13). What is n(v)?
-2
Let m(v) be the second derivative of 99*v + 0*v**2 - 5/12*v**4 - 1/6*v**3 + 0 + 1/20*v**5. What is m(5)?
-5
Let s(x) be the third derivative of -x**7/5040 - x**6/60 + x**5/20 - 5*x**4/8 - 145*x**2. Let m(b) be the third derivative of s(b). Give m(-5).
-7
Let g(u) = -8*u**3 - u**2 + u - 2. Let a(t) = 9*t**3 + t**2 - t + 1. Let n(w) = 3*a(w) + 2*g(w). Let k be 221/(-255) + (-6)/45. Determine n(k).
-10
Let y = 797 - 792. Suppose 0 = -24*t + 22*t + 3*b - 9, y*t = b + 10. Let a(h) = 2*h**2 - 3*h + 1. Determine a(t).
10
Let s(c) = -14*c + 1. Let o be 0 + (-10)/(-25)*5. Suppose 5 = -o*b + 7. Give s(b).
-13
Let r(o) = -237 + 48 + 22*o + o**3 + 111 + 23*o**2 + 97. Calculate r(-22).
19
Suppose m = 2*y + 136, 2*m = -4*y + 2*y - 136. Let i be 8/(-36) - y/(-18). Let h(d) = d**2 + 2*d. Give h(i).
8
Let z(i) = -i**2 - 2*i + 8. Suppose -l = 4*q - 4, -5*l - 2*q = -6*q + 52. Suppose -3*x - 98 = 11*x. Let k be x - (3 - (-4 - l)). Give z(k).
-16
Let s be (-1)/(-3) - (-1400)/30. Let i = 49 - s. Let w(v) = -7*v**i + 5*v**3 + 3*v**3 - 4*v**3 + 3 - 3*v**3 - 2*v. Give w(7).
-11
Let c(d) = d**2 - 2. Let v(h) = -3*h**2 - 6*h + 5. Let r(u) = -2*c(u) - v(u). Let o = 1108 - 1113. What is r(o)?
-6
Let n(k) = -k - 2. Let g(d) be the first derivative of d**3/3 - 7*d**2 + 54*d - 30. Let i be g(5). Calculate n(i).
-11
Let t(b) be the second derivative of 7/2*b**2 - 2*b + 0 - 1/6*b**3. Let y be (-3)/1*(-11)/(66/8). What is t(y)?
3
Let y(r) = r**2 + 39*r + 40. Let u be y(-38). Let g(m) = -2 - 2*m + 13487*m**2 - 2*m - 13492*m**u. What is g(-3)?
-35
Let o(p) = 22563 - 22538 + 61*p - 53*p. Determine o(-9).
-47
Suppose 4*n = 4*c - 4, -4*c + n = c - 9. Let q be c/1 - ((-6)/(-3) + -4). Suppose -6 = q*u - 2. Let y(h) = -11*h**2 - 1. Give y(u).
-12
Suppose -4*z = 0, 4*z = 18*b - 23*b + 25. Let m(w) = 8*w - 20. What is m(b)?
20
Let j be (24/132 + (-447)/99)*(0 - -3). Let r(u) = 10*u + 123. Calculate r(j).
-7
Let i(o) = 44 - 405*o**3 + 406*o**3 + 28*o - 23*o**2 - 30*o. Determine i(23).
-2
Let k(x) = 1782 - 3351 + 7*x + 1681. Calculate k(-16).
0
Suppose 3*v + 4*q = -9, 22*v + 8 = 24*v - 2*q. Let z(m) = -8*m**3 + 2*m**2 - 2*m + 1. Determine z(v).
-7
Let o be (-5)/15 - (-26)/6. Let i(n) = -2*n**2 + 1880 + n + 1876 - 3756. Calculate i(o).
-28
Let p(d) = -497*d + 76 + 494*d - 1. Let l be p(25). Let n(z) = z**2 + 2. What is n(l)?
2
Let w(k) = -k**3 + 3*k**2 + 3*k - 4. Let a = 3849 - 3845. Give w(a).
-8
Suppose 3*a = -a + 2*g - 4, 3*g - 10 = 2*a. Suppose 25*m = 12*m + 26. Let t(b) = -13*b**m + 173*b + 173*b - 345*b. Determine t(a).
-12
Suppose 0 = 4*g - 19 + 19. Suppose 4*d - 2*d = -g*d. Suppose 0 = 3*m + 3*i + 6, -m + 18 = -d*m - 3*i. Let w(k) = k**2 - 2. Give w(m).
7
Suppose s = 2*s + 1, -3*s = -5*z + 48. Let t(d) = 38*d**2 - 806*d**3 + 4 - 47*d**2 + 807*d**3. Calculate t(z).
4
Let m(
|
{
"pile_set_name": "DM Mathematics"
}
|
l(b) be the third derivative of 2/3*b**3 - 7/24*b**4 + 0 - 1/30*b**5 + 0*b - 25*b**2. Let a be l(-3). Solve 8 = 3*z - a for z.
5
Let g(k) = -3*k**2 - 3*k**3 + 4*k**3 + 8 + 0. Let p be -10 - 1576/(-120) - (-6)/(-45). Let w be g(p). Solve 4*x = 4 + w for x.
3
Let x(r) = r - 2. Let i be x(5). Let a(n) = n**2 + 61*n - 4618. Let w be a(44). Solve w*k = k + i for k.
3
Let s = 73 + -80. Let h(k) = -8*k - 51. Let u be h(s). Solve -i + u*i = 8 for i.
2
Suppose f + 102 = 5*g, -4*g - 2*f + 70 = -20. Suppose 3*d - g = 4*m, d + 3 = -3*m - 3. Solve b + d*b - 8 = 0 for b.
2
Let u = -1721 + 1734. Solve 0 = -5*j + 28 - u for j.
3
Let b be (28/(-13))/((-784)/5096). Solve b*v + 5*v = 95 for v.
5
Let n(o) = -2*o**3 + 7*o**2 + 35*o + 15. Let s be n(-3). Solve s*k - 30*k = 0 for k.
0
Suppose -79 = -5*v + p, -6 = -v - p + 5. Solve -5*m = 45 - v for m.
-6
Let n(x) = 1165 + 6*x**2 + 7*x**2 - 8*x**2 - 1140 + 3*x. Let w be n(0). Solve w*k - 22*k = 6 for k.
2
Let n(w) = -w**3 - 7*w**2 + 6*w - 11. Let v be n(-8). Suppose 3*k - 140 = -5*u, 0 = -u + 3*k - v*k + 28. Suppose -6*f + u = -2. Solve f - 2 = b for b.
3
Let x be (36 + 4)*-3*10/(-24). Let w = -38 + x. Let l be (2 - (-18)/(-8)) + 39/w. Solve -2*k = -l*k + 3 for k.
3
Suppose 408*w - 394*w = 38 + 88. Solve 51*m = -w*m + 240 for m.
4
Suppose -63*l + 53*l - 170 = 0. Let w be (11 + -7)*l/(-4). Solve w + 8 = 5*x for x.
5
Let y be (((-1600)/24)/(-20))/(6/27). Let l be 1 + 0 + -1 - 0. Suppose l = 10*g - y*g. Solve 0*v + v = g for v.
0
Let p = -330 - -330. Suppose p = -141*z + 143*z. Solve q + 5*q + 30 = z for q.
-5
Let p = 370 + -356. Let t be (4 - p - -10) + 8*1. Solve -t*o + 10*o = 8 for o.
4
Let h(r) = -2*r**3 - 9*r**2 - 11*r + 9. Suppose -4*t + 15 = 3*n + 39, -4*t - 2*n = 20. Let b be h(t). Solve 0 = 11*i - b*i + 8 for i.
2
Suppose -32 = 5*o - 7*o. Solve o = 7*y + 30 for y.
-2
Let g(y) = 2*y + 5. Let k be g(-1). Suppose -i + 5*x + 25 = 0, -k*x + 0*x - 15 = 2*i. Suppose i = -19*l + 61 - 4. Solve 4*z + 1 = -l for z.
-1
Let x(i) = -2*i**3 - i**2 + 4*i + 11. Let m be (-1055)/(-211) - (4/1 + 1). Let n be x(m). Solve -35 - 9 = -n*f for f.
4
Let h(q) = -q**2 + 120. Let t be h(7). Suppose -73*d + 6 = -t*d. Suppose 3*v = -g + 1, g - 1 = -3*v + 5*v. Solve d = -b - g for b.
-4
Let j(b) = -b**3 - 16*b**2 + 16*b - 18. Let y be j(-17). Let l be (2/y)/((-153)/45 - -3). Solve 0 = -4*h + l - 9 for h.
-1
Suppose 3*h + c = 5*c - 4, 3*h = c - 1. Suppose -s = -5*g - 2, 2*g - 3*s = -h*g - 6. Let f be -4 + 12 + g/(-5). Solve -5*v + 17 = -f for v.
5
Suppose -7125*w + 16848 = -7086*w. Solve -w = i + 71*i for i.
-6
Let i be 6*(-13)/(273/(-28)). Solve i = 34*j - 32*j for j.
4
Let u = 2803 + -2746. Solve u*w = 50*w - 21 for w.
-3
Let x = 3159 + -3136. Solve x = 8*h + 15*h for h.
1
Let r(t) = -t**3 - 8*t**2 - 8*t - 7. Let q be r(-7). Suppose -2*o - 184*h + 4 = -183*h, -4*o - 16 = -4*h. Solve q*s - 5*s - 25 = o for s.
-5
Suppose 124 - 449 = 5*d. Let t be d/(-30) + 2/(-12). Suppose -210 = -64*l - 41*l. Solve -l*r = -4 - t for r.
3
Suppose -257*k - 252*k = -520*k. Solve k = 9*u - 23*u + 70 for u.
5
Suppose 0 = 288*y - 190 - 98. Let s = 15 + -4. Let r = -8 + s. Solve r*i + 7 = y for i.
-2
Let f(a) = 7*a + 33*a**2 - 7 + 12*a - 9 - 12*a**2 + a**3. Let l be f(-20). Solve l*y - 18 = -22 for y.
-1
Let x be (2 - 12/9) + 2408/168. Solve x*s + 36 = -3*s for s.
-2
Let m(c) = c**2 + 79*c + 1420. Let o be m(-26). Solve o*z + 50 = 52*z for z.
5
Let s(q) = q**2 + 12*q + 45. Let n be s(-9). Suppose 5*b - 510 = n*a - 22*a, -2*b + 204 = 3*a. Solve 104*g - b*g = -8 for g.
-4
Let z(p) = 16*p**2 - 25*p - 10*p**2 + 6*p - p**3 + 6*p**2 - 5. Let o be z(10). Suppose -3*d + 21 = s, o*s = 5*d + 9 - 4. Solve -4*v - s = 14 for v.
-5
Suppose -4*j + 24 = u, -2*j - 2*u + 33 = 3*j. Solve j*c = 7 - 17 for c.
-2
Suppose 0 = -4*o, -8 = -2*l + 6*o - 4*o. Solve l*h = -13 - 11 for h.
-6
Let b = 1105 - 1088. Solve 20 - 105 = -b*h for h.
5
Let o be ((-4 - -3)/(20/8))/(6/(-2670)). Solve 458 = 106*s - o for s.
6
Suppose 5*v = 2*f - 134, -269*v = 3*f - 264*v - 126. Solve -27*l + f + 83 = 0 for l.
5
Let y = 120 - 117. Suppose 4*z + 4*s + y - 43 = 0, 3 = -s. Solve 0 = -4*j - 9 + z for j.
1
Let g(v) = -55*v - 2801. Let q be g(-51). Solve -913*y = -909*y + q for y.
-1
Let u(x) = 5*x**2 - 177*x - 103. Let c be u(36). Solve 0 = c*j + 16 + 14 for j.
-6
Let v(w) = -7*w - 4*w + 18*w - 6*w - 5. Let t be v(6). Suppose -8 = -3*j + t. Solve 2*o + j = o for o.
-3
Let h(x) = 66*x + 754. Let d be h(-11). Solve -d*y = -15*y for y.
0
Suppose -15 = 20*w - 1455. Solve w = j + 17*j for j.
4
Let v = -167 + 205. Let c(b) = -2*b**2 - 13*b - 9. Let f be c(-8). Let z = v + f. Solve -z + 1 = -2*y for y.
2
Let q be 567/42*12/9. Suppose b = 27 - q. Solve b = -6*x + 9*x for x.
3
Let d be (0/4)/(2 + -3). Suppose -a + 2*a + 5*c - 17 = d, 4*c - 7 = -3*a. Let f be (4/36*a)/((-2)/6). Solve p - f = -3 for p.
-2
Let v = -12722 + 12814. Solve v - 98 = 3*f for f.
-2
Let y = 157 + -150. Suppose 0 = -3*i + 9, 2*z - 12 = y*z - 4*i. Solve a - 5 = -z for a.
5
Let n be ((1/1)/(-1))/((-71)/1207). Suppose 33*l = -n*l + 100. Solve -l*t = -0*t - 6 for t.
3
Let d(u) = u**3 - 48*u**2 - 98*u - 68. Let h be d(50). Solve h - 5 = -9*y for y.
-3
Suppose -8*d + 129 = 113. Suppose n = 2*v - 4 - d, 2*n - v = 0. Solve -n*g - 4 = -12 for g.
4
Let p(m) = m**3 - 8*m**2 - 5*m + 103. Let r be p(9). Solve 39*o - 412 = -r for o.
7
Let n = -9386 - -9387. Solve 0 = -9*s + n - 37 for s.
-4
Suppose -57*x - 110*x = -18203. Solve 15*q + x = 34 for q.
-5
Let j = 30728 - 30691. Solve 19*z = j*z + 18 for z.
-1
Let q(s) = s**3 - s**2 - 2*s + 42. Let r be q(0). Suppose r = 4*v + 2*i, -i + 0*i = v - 11. Solve 8*o - v = 3*o for o.
2
Let m(v) = -2*v**3 + v**2 - 3*v - 4. Let f(n) = -n**3 + 9*n**2 - 8*n - 1. Let a be f(1). Let w be m(a). Solve w*j + 0*j + 4 = 0 for j.
-2
Let l = 1599 - 1597. Suppose 0 = 3*y - 0 - 9. Let o be (-19)/(-4) - (-3)/(-4). Solve -y*t + o*t = l for t.
2
Suppose 32*z = 20*z + 36. Let o be (-5 - (-10 - -2))*4/z. Solve o*k - 2 = -10 for k.
-2
Let v be (-24)/(-84)*(-25298)/(-26). Solve 11*q = v - 256 for q.
2
Suppose -2*w = -o - 2*o - 980, 5*w - 4*o = 2457. Suppose 60 = -490*i + w*i. Solve -7*n + 3*n + i = 0 for n.
5
Suppose 2*w - 3*v - 2 = 0, -2*w = -w + 3*v - 19. Let f be 6*(-2 + w/3). Suppose f*t = 5*t - 12. Solve 0 = t*x + 21 - 5 for x.
-4
Let f = -15535 + 15747. Solve -4*p - f = -216 for p.
1
Suppose 142*t - 15*t = 1905. Solve -36 = -t*r - 6 for r.
2
Let w(u) = 2*u**2 + 30*u + 46. Let g be w(-14). Solve -7*r + r = -g for r.
3
Suppose -2*z + 10*j + 2 = 8*j, 0 = 4*z - 2*j - 8. Solve 0 = -z*u + 73 - 52 for u.
7
Suppose 2*x - 3*n - 9 = -32, 10 = 2*n. Let s be x/(1 + 3) - -3 - 0. Suppose -3*l - 4*r = -2*r + 4, 3*l - 16 = s*r. Solve -l = -p - 0 for p.
2
Let s = -1520 + 1672. Solve 0 = 3*w - s + 155 for w.
-1
Let d = 692 + -688. Let o be (-6)/(12/d + -5). Solve -42 + 39 = -o*z for z.
1
Suppose 724 = 4*b + 4*h, 3*b = 22*h - 27*h + 557. Solve -101*q + 477 = b for q.
3
Suppose -m = -61 + 8. Suppose 53 - m = -2*s. Let j be s/((-1)/(-1))*(2 - 1). Solve c + c = j for c.
0
Suppose -5*w + 68 = 53. Suppose w*r = -3*d - 6, r - 4*d + 5 = -2*d. Let v(s) = -s + 12. Let y be v(r). Solve 0*a - 3*a + y = 0 for a.
5
Let n = -46 + 14. Let h be (2/2)/((-8)/n). Let i = -4 + h. Solve i = -x - x + 4 for x.
2
Let r be 3875/50 + (-2)/(-4). Solve 9 = 75*h - r*h for h.
-3
Let b be 10/65 - 1/(26/(-126)). Suppose -18 = 4*j - 2, 5*x + b*j = 40. Let n be (6/(-18))/((-2)/x). Solve r + n = 4 for r.
2
Suppose 94 - 454 = -8*i. Suppose 4*j - i = -5*j. Suppose -j = -5*s + 15. Solve -t = s*t for t.
0
Let r be (1 - 2)*1/(-1). Let w(j) = j + 1. Let p be w(r). Let m(g) = g**3 + 7*g**2 - 3*g - 17. Let x be m(-7). Solve p + 10 = x*q for q.
3
Let q = 7977 - 7935. Solve -84 = -q*w + 30*w for w.
7
Let r(u) = 26*u + 30. Let s be r(13). Let o = -352 + s. Solve w = 5*w + o for w.
-4
Let s(v) = 11*v - 18*v + 6*v + 2. Let b be s(0). Suppose 5*p - 11 + 0 = b*g, 17 = g + 5*p. Solve q = -q + g for q.
1
Let x be ((-6)/3)/(2/(-5)). Suppose b - 150 = -9*b. Suppose 0*h + 5*h = 2*z - 6, x*h - 5*z + b = 0. Solve -4 + h = -2*a for a.
2
Suppose 3*f = -k + 161 + 511, 895 = 4*f + k. Solve 57 + f = -40*p for p.
-7
Let l(d) = 4 + 7*d + 0 - d**3 - 3 + 2 + 2*d**2. Let b be l(-2). Solve -3*c + b*c + 6 = 0 for c.
-3
Su
|
{
"pile_set_name": "DM Mathematics"
}
|
urth biggest value? (a) h (b) u (c) 2/15 (d) -5
d
Suppose 4 = 3*y - j + 15, -j - 13 = 3*y. Let g = -0.0719 + -4.9281. What is the second smallest value in 2, g, 0.1, y?
y
Let u = -6/39037 - -25413153/429407. Let j = u + -59. Let k be 2/12 + (-4)/6. Which is the second biggest value? (a) k (b) j (c) -2 (d) 2
b
Let v = 1 + -2. Let n be 1/(2/(-5)) + 1. Let a be (-24)/138 + ((-231158)/4715 - -49). What is the second biggest value in 0.5, a, v, n?
a
Let l = -318 - -317.972. Let n = l - -0.528. Suppose 0 = 9*v - v + 16. What is the biggest value in -1/3, n, v?
n
Suppose -8*u = -37 - 827. Let l = u + -115. Which is the smallest value? (a) -2/7 (b) l (c) 2/7
b
Let g = -2254 - -4511/2. What is the second smallest value in -0.2, -47, g, 1/5?
-0.2
Let o be 56/18*(101/7 + -5). Let x = o + -29. What is the fourth smallest value in -1/2, x, -2, 0.2?
x
Let f = -16397 - -16402. Which is the second biggest value? (a) 0.4 (b) -0.5 (c) f (d) -4 (e) -48
a
Let r = 0.657 + -0.257. Let k be 15/(-35) + (153/21)/3. What is the third biggest value in r, -2/3, -1/24, k?
-1/24
Suppose 4*f = 4, -f + 2 = -0*r + r. Let y(c) = c**2 - 22*c + 25. Let w be y(23). Let p = -43 + w. What is the fourth biggest value in r, -4, -0.2, p?
-4
Let x = -7/246 - -7849/258546. Which is the second biggest value? (a) x (b) 7 (c) -2/9
a
Let f = 293 + -292.1. Let w = -44 + 40. Which is the biggest value? (a) f (b) -5 (c) w
a
Let h = 52 - 52.5. Let w = -49.38 - -49.18. Which is the second biggest value? (a) w (b) -4/5 (c) h (d) -1/6
a
Let r(z) = -5*z**2 + 43*z + 114. Let o be r(11). What is the smallest value in -0.3, -24, o?
-24
Let q = -467.93785 + -0.06215. What is the biggest value in q, -1/7, -1?
-1/7
Let j = -1353 + 1353. Which is the fifth biggest value? (a) 5 (b) 74 (c) 2 (d) -5 (e) j
d
Let x be (-65 + 49 - (-11 - -1))*2/(-978). What is the second smallest value in 2/9, 2, x, -5, -4/3?
-4/3
Let l(k) = -4*k**3 - 3*k**2 - 3*k - 1. Let p be l(-2). Let h = -60 + 75. Let f be ((-15)/(-18))/(p/h). Which is the biggest value? (a) -2/9 (b) f (c) -2.2
b
Let s be 8/(-7) - (-2 + 1). Let y = 22779 - 22783. What is the second biggest value in y, -2/5, -3, s?
-2/5
Let j = 21.2 - 2.2. Let x = -12 + j. Let g = -1302 - -1298. Which is the smallest value? (a) -0.3 (b) g (c) x
b
Let q = -0.2856 + 0.1856. Which is the fourth smallest value? (a) -0.4 (b) -2/31 (c) q (d) 1 (e) 2
d
Let z = -18.13 + 4.13. Let i be (5/10*-3)/(39/(-4)). What is the second smallest value in z, 1, i?
i
Let w = -147 - -152. Let m be -3 + 4 + (-190)/22. Let g = m - -281/44. Which is the smallest value? (a) w (b) -0.5 (c) g (d) 27
c
Let k = 138 - 1655/12. Let t = 35.55 - 35. Let p = t + 0.45. Which is the smallest value? (a) 0 (b) k (c) p
a
Let g = -5.268 - -4.868. Which is the fourth biggest value? (a) g (b) 4 (c) -6/101 (d) -2
d
Let m = -194.66 + -2.34. Let k = m - -196.9. What is the fourth biggest value in 4/5, k, -0.2, 1?
-0.2
Let g = 26/63 + -19/63. What is the biggest value in 0.5, g, 0.6, 0.26?
0.6
Let u = 2.1 + 9.2. Let f = -13.3 + u. Let j be 1 - (-124)/(-28) - -3. Which is the second biggest value? (a) j (b) -0.3 (c) -5 (d) f
a
Let x be 6/45 - (-209)/(-330). Which is the fourth biggest value? (a) 3 (b) 1 (c) 2/51 (d) 2 (e) x
c
Let i = 0.82 + 187.18. Let b = 152.2 - i. Let w = b - -36. What is the biggest value in 1, -9, w?
1
Suppose 3*x = -i + 462749, 2*i - 771250 = -2*x - 3*x. Let f = x + -39950151/259. Let g = f - 1/37. Which is the biggest value? (a) 2 (b) g (c) 1/8
a
Let p be (-8)/(-38)*2/4. Let i = -3682/5 + 737. Which is the third biggest value? (a) 5 (b) i (c) 9 (d) p
b
Let b = 8.8 - 5.8. Let i = -0.0305 - 0.0395. What is the fourth smallest value in -2/11, -2, i, b?
b
Let k = -1.039 - 11.561. Let r = k - -12.9. Let x = 0.4 - -0.1. Which is the smallest value? (a) x (b) r (c) -2/13 (d) -2/9
d
Let m = -409 + 601. Let z = m - 192. What is the third biggest value in 5/11, z, 2/7?
z
Let j be 15*80/350 + -4. Let k = -4 - 17. Let i = 7 + -2. Which is the third biggest value? (a) j (b) -5 (c) k (d) i
b
Let w = -641 + 641.3. Let p = 1.49 + -2.1. Let g be (-3)/4 + (-100)/(-176). Which is the third biggest value? (a) -0.2 (b) w (c) g (d) p
a
Let j = 25275 - 25256. Which is the third biggest value? (a) 11 (b) -0.4 (c) j
b
Let r = 121/294 - 12/49. Let o = 88 - 104. What is the third biggest value in 0.3, r, o?
o
Let p = 306.863 - 307. Let s = p - -0.637. What is the smallest value in 48, s, 2?
s
Let k = 2382 - 2382. Which is the smallest value? (a) -2 (b) 1/2 (c) 19 (d) k (e) 2/5
a
Let u be 12/(-14)*(-2)/((-16)/14). Which is the second smallest value? (a) u (b) -4/3 (c) 4 (d) 0.2
b
Let i = -1957 - -1959. Which is the smallest value? (a) 0 (b) 92 (c) i
a
Let z = -91 + 87. Let r be 2/z*-8*3/21. What is the biggest value in r, -1, -1/4, -5?
r
Let u = -1.508 - -3.508. Which is the fourth biggest value? (a) 0 (b) 5 (c) -4.2 (d) u (e) 1
a
Let p be (-14)/2940*-110 + 11/77. Let i = 9 + 0. Which is the smallest value? (a) i (b) p (c) 3
b
Let f be 4/(240/27)*210/(-126). Which is the third smallest value? (a) -4 (b) f (c) -1.65
b
Let s(j) = -3*j**2 + 11*j + 118. Let k be s(-7). Which is the third biggest value? (a) k (b) -5/2 (c) 0.3 (d) -1/6
b
Let l = -5637.82 - -5638. What is the biggest value in 2/17, l, 4?
4
Let s = -2/5419 + -232757/704470. Let l = -19/26 - s. Which is the biggest value? (a) 0.5 (b) 5 (c) l
b
Let o = 0 + -0.2. Let j = 1.03 + -0.48. Let a = j + 2.45. What is the third biggest value in -7, a, o?
-7
Suppose 9*u + 11*u - 26 = 34. Which is the fifth smallest value? (a) -0.06 (b) 0.1 (c) 5 (d) -0.4 (e) u
c
Let g = -117.8 + 118. Let j be 4 + 285/(-3 + 6). Let u be j/408 + (-3)/24. Which is the third smallest value? (a) -18 (b) u (c) g
c
Let t be 3/1*1 - 720/(-24). Let s = 561.7 - 561.8. What is the third smallest value in s, 2, t, -5?
2
Let s = 551/3000 - 22/375. Which is the third biggest value? (a) 0.4 (b) -8 (c) s
b
Let d be ((-2)/(-2))/((-6)/11). Let x be (7 - 8)/(-4 + 52/16). Let p = d + x. Which is the second smallest value? (a) 2 (b) -0.1 (c) p
b
Let k be 2/(-50) + 192348/(-1300). Which is the third smallest value? (a) 3 (b) 13 (c) k
b
Let m = 205 - 389. Let t = -182.9 - m. Which is the second smallest value? (a) t (b) 1 (c) -0.3 (d) 0.4
d
Let z = 6646.3 - 6646. Which is the third smallest value? (a) z (b) 24/287 (c) -2/5
a
Let w = -286 + 284. Let x = 130 + -129.6. Which is the second biggest value? (a) x (b) -5/4 (c) w
b
Let h = 1/58 - -3/58. Suppose 2*u - 111 - 214 = -l, -4*l + 1355 = -3*u. Let j be 4 + 1 + l/(-65). What is the smallest value in -3/7, h, j?
-3/7
Let i = 0.07 - -0.13. Which is the second smallest value? (a) 0.006 (b) -4/5 (c) i
a
Let v = 0.027 - -2.273. Let p = v - 0.3. Let z = -0.37 + -0.03. Which is the third biggest value? (a) -4 (b) z (c) p
a
Let v be -2 - (-2 + 1 + -5). Let i be -1*(3/(-3) + v/6). What is the third biggest value in 0.01, i, 0?
0
Let t = 67.75 + -68. Let p = -2.25 - t. Let y = -1.5 - p. Which is the biggest value? (a) y (b) -1/5 (c) -1 (d) 1
d
Let u be 3/(-2) + 1/(-2)*1209. Let f = u - -1820/3. Which is the third smallest value? (a) f (b) -5 (c) 0 (d) 7
a
Let y = -21097 + 84387/4. Which is the fourth biggest value? (a) -102 (b) y (c) 0.4 (d) 0.6 (e) 1/5
b
Let l = 70 - -657. Let w = l + -726.8. Which is the third smallest value? (a) -9 (b) w (c) 0
b
Let q = 0.73 - 0.7. Let l = 134 - 134.43. Let z = q + l. Which is the second smallest value? (a) 0 (b) 1 (c) -1/3 (d) z
c
Let h = 1/544591 + -544606/8168865. Let f = 3/32 + 49/160. What is the third biggest value in f, 2/9, h?
h
Let z = -0.2 + 0.7. Let w = -1269567/41 - -30965. Which is the second biggest value? (a) 2/9 (b) z (c) w
a
Let h = 0.001 - 0.001. Let i = 0.028 + 0.072. Which is the second biggest value? (a) i (b) -1 (c) -0.4 (d) h
d
Let m = 0.14 - 0.2. Let v = -2.35 + 32.75. Let o = v + -26.4. Which is the second biggest value? (a) o (b) -4 (c) m
c
Let d = -1542.7 + 1547.7. Which is the biggest value? (a) -0.93 (b) d (c) 6
c
Let f(d) = -949*d - 9492. Let n be f(-10). Which is the third biggest value? (a) n (b) 493 (c) 0.1
a
Suppose 2 = -i, -
|
{
"pile_set_name": "DM Mathematics"
}
|
*g, -3*q + 2 = -2*q + g. Suppose 2*w - 10 = -4. Put w, q, 0 in decreasing order.
w, 0, q
Suppose 88 = -4*p - 3*v, 87 = -5*p + 2*v - 0*v. Let d = 37/2 + p. Sort d, -0.3, 2/3 in ascending order.
d, -0.3, 2/3
Let k(w) = w + 4. Let m(q) = -q - 5. Let j(z) = 4*k(z) + 3*m(z). Let b be j(-3). Sort b, 4, 0.
b, 0, 4
Suppose 31*p - 32*p + 1 = 0. Let g = -3 - 1. Put g, p, 2 in increasing order.
g, p, 2
Let t = -1 - -4. Suppose 2*i + 4 = -0. Let p = 0.3 - 0.2. Sort t, i, p in decreasing order.
t, p, i
Let f be (9 + -11)*2/(-9). Sort 5, 0.1, f, -0.4 in ascending order.
-0.4, 0.1, f, 5
Suppose -12 = 5*a - 11*a. Let y be ((0/3)/(-2))/(-1). Put -3, y, a in increasing order.
-3, y, a
Let k = 3 + -5. Let n = k + -2. Put -1/3, n, -0.2 in ascending order.
n, -1/3, -0.2
Let m(y) = -y - 3. Let i be m(-2). Sort 4, -5, 1, i in decreasing order.
4, 1, i, -5
Let s(i) = 3*i - 4. Let b be s(3). Let k be 8/(-6) - 4/6. Sort 4/5, b, k.
k, 4/5, b
Let z be 3/(21/(-10)) - 20/(-10). Sort -2.9, z, -0.4 in ascending order.
-2.9, -0.4, z
Let p be 6 + -4 + 1 + -3. Suppose r + p + 1 = 0. Put 5, 2, r in decreasing order.
5, 2, r
Let t = 15356/9 - 1704. Let v = 202/99 - t. Sort v, -4, 1.
-4, v, 1
Let v = -93 + 653/7. Let j be 12/1 - -1*1. Suppose d + 7 = -3*w + 17, 5*w = 2*d + j. Sort v, -3, w in descending order.
w, v, -3
Let l = -2 + -8. Let f = 9.7 + l. Sort -5/2, 5/4, f in decreasing order.
5/4, f, -5/2
Let z(p) = p**2 + 8*p + 7. Let a be z(-7). Suppose a = 4*q - 3 + 15. Put q, 3, 2 in ascending order.
q, 2, 3
Let l be 6/39*-1 - 300/78. Sort l, 0, -9 in ascending order.
-9, l, 0
Suppose 0 = 5*g + s - 21, g - 2*s - 28 = -3*g. Suppose -3*i + 2*i = 2*b + 6, 0 = g*b - i + 22. Let o = -8 + 12. Sort b, o, 0.
b, 0, o
Suppose 16 + 14 = -10*q. Suppose 8 = 6*z - 2*z. Let s be 2 + (-2)/z + q. Sort -1, 1, s.
s, -1, 1
Let h = -4 + 4. Let u = h + -2. Sort u, 1, 4 in decreasing order.
4, 1, u
Let r be ((-39)/(-26))/((-3)/8). Put 0, -2, r, -3 in ascending order.
r, -3, -2, 0
Suppose -5*t + 2 = -4*t. Let l(m) = m**3 - 6*m**2 + m - 6. Let h be l(6). Sort t, 3, h.
h, t, 3
Suppose -3 = 2*n - 1. Let j be (2 + (-10)/(-4))*-2. Let f = j - -12. Put f, -4, n in increasing order.
-4, n, f
Suppose 0*r - 3*r = 0. Let f = r - 0. Suppose 5 = -j - f. Sort 1, j, 5 in descending order.
5, 1, j
Let x = 0.1 + 0.1. Let h(f) = -f**3 + 6*f**2 + f - 7. Let n be h(6). Sort 1, n, x in descending order.
1, x, n
Let n be (3 + -11)/(-2) + 1. Suppose -n*c = -10*c. Suppose -2*g - g - 24 = -3*w, -3*w = -g - 16. Sort -4, c, w in descending order.
w, c, -4
Suppose -6*a + 201 = -57. Sort -4, a, 4, -2.
-4, -2, 4, a
Let q = -132 - -1059/8. Let l = -0.3 - 2.7. Sort q, l, 3 in descending order.
3, q, l
Let z be (-4 + 11 - 1) + -4. Let o(f) = f**2. Let g be o(2). Sort g, 0, z in descending order.
g, z, 0
Suppose -2*r - 1 = 3. Let c(d) = 2*d**3 + 2*d**2 - d + 1. Let k be c(r). Put 1, 4, k in decreasing order.
4, 1, k
Let b = 282 - 281. Let u = 1/121 + 359/484. Sort -0.5, b, u in descending order.
b, u, -0.5
Let b = 0.456 - -0.044. Let x = -1 + 2/3. Put b, 2/7, x in ascending order.
x, 2/7, b
Suppose -3*q = -2*k + 5, -3 + 6 = k - 2*q. Put k, -5, -2 in increasing order.
-5, -2, k
Suppose 5*n - 4 = n. Let s be 1*-1*(0 + n). Sort s, -3, 0.
-3, s, 0
Let v = 1 + 4. Let a(s) = s**2 - 7*s + 5. Let w be a(v). Put -2, -3, w in ascending order.
w, -3, -2
Let n = -297.6 + 298. Suppose 18 = 3*y - 6. Let j be ((-4)/(-10))/(y/4). Sort j, n, -5 in descending order.
n, j, -5
Let d = -11.8 + 12. Sort 0.1, -0.2, d in descending order.
d, 0.1, -0.2
Suppose -5*a + 21 = -5*v - a, 5*a - 25 = 5*v. Put v, 0.3, 0 in ascending order.
v, 0, 0.3
Let y = 5.4 - 5. Let h = -11 + 10.8. Put y, -3, h in decreasing order.
y, h, -3
Let a(y) = y - 4. Let m be a(8). Let v be (2/6)/(m/60). Suppose v*n + 35 - 10 = 0. Sort 2, n, 4 in ascending order.
n, 2, 4
Suppose -3*g + 6*g - 24 = 0. Put g, -1, 0 in decreasing order.
g, 0, -1
Let q = -3 + 2. Let d = -9 - -8. Let j be d + (-5)/(15/(-12)). Sort q, -1/3, j in descending order.
j, -1/3, q
Let g = 181 - 181.2. Sort 1, g, 9, 0 in descending order.
9, 1, 0, g
Let v be (4/70)/((-3)/(-7)). Put v, -1, -6 in descending order.
v, -1, -6
Let v be 2/5 - (-33)/30. Let f = -7 + 8. Put v, f, 3 in ascending order.
f, v, 3
Let i = -1 + 1. Let f(t) = -3*t - 58. Let o be f(-20). Put o, -1, i in ascending order.
-1, i, o
Suppose -4 = -2*v - 0*v, 3*q + 10 = 5*v. Let k(w) = 2*w + 1. Let y be k(-2). Sort q, -4, y.
-4, y, q
Let k = -0.15 - 0.05. Put 0.4, 1, k in ascending order.
k, 0.4, 1
Let r = 8 + -7.7. Let x = 0.2 - 0.29. Let f = x - 3.91. Sort 2, r, f.
f, r, 2
Let r(t) = -2*t - t + 2*t - 5. Let o be r(-6). Suppose d + 4*s = 17, 0 = -5*d - 3*s - 2*s + 40. Sort -5, d, o.
-5, o, d
Let a(q) be the second derivative of -q**3/3 - 9*q. Let t be a(1). Put -5, t, 1 in decreasing order.
1, t, -5
Let p = 3 + -3/2. Let l = 26/3 - 188/21. Put l, 2/19, p in increasing order.
l, 2/19, p
Let o(b) = -b**3 - 9*b**2 + 11*b + 6. Let d be o(-10). Sort 4, 2, d in decreasing order.
4, 2, d
Let g(f) = f**2 - f - 2. Let s be g(3). Put 5, -3, s, 3 in increasing order.
-3, 3, s, 5
Let c(q) be the second derivative of q**5/20 - q**4/12 - q**3/6 + q**2 + 8*q. Let r be c(0). Sort -4, 6, r in decreasing order.
6, r, -4
Let q be 3 - (1 + (-33)/(-15)). Put -16, 1/5, q in increasing order.
-16, q, 1/5
Let l be (-1 + 0)/((-2)/14). Let d be ((-4)/14)/((-3)/l). Let s = -26/15 - -4/3. Put d, 0, s in descending order.
d, 0, s
Let c(k) = -k. Let u = 6 + -2. Let y be c(u). Let i = 0 - y. Sort i, 0, -3 in decreasing order.
i, 0, -3
Let s be -2*5/60 + 0. Sort 0.02, -1/3, s in increasing order.
-1/3, s, 0.02
Suppose -4*t = -t - 18. Put -5, t, -3 in descending order.
t, -3, -5
Suppose -4*n - 34 = -14. Suppose -4*h + 6*h = -2, o - 5*h - 7 = 0. Sort o, 4, n in descending order.
4, o, n
Let l = 1.1 - 0.1. Let s = -0.5 + l. Let b be (0/(0 - 2))/1. Sort b, -3, s.
-3, b, s
Suppose d = -2*d + 15. Let j = -4 + d. Sort 0, 2, j in decreasing order.
2, j, 0
Let a = 1.27 - 0.86. Let p = a - -0.09. Let g = -3.5 + p. Sort -2, 3, g in ascending order.
g, -2, 3
Let u(g) = -g**3 - g + 1. Let b(l) = 3*l**3 + l**2 + 5*l - 3. Let m(t) = -b(t) - 4*u(t). Let f = -6 + 8. Let h be m(f). Sort 5, -5, h in decreasing order.
5, h, -5
Let j = -6 + -2. Let m = -5 - j. Let c be 18/m*(-1)/(-3). Sort 3, c, 4 in descending order.
4, 3, c
Let x = -9 + 4. Suppose -13 = n - 5*z, -7 = 2*n - n - 3*z. Put x, -4, n in decreasing order.
n, -4, x
Suppose 0*i = 5*i - 200. Let h be 17/(-45) - (-24)/i. Put 1/4, h, 0.4 in ascending order.
h, 1/4, 0.4
Suppose -2*m - 3*a + 2 = -9, -a = -1. Let p(o) = o**2 - 14*o - 13. Let s be p(15). Let v be -4 + 5 - m/s. Put -1/3, -3, v in descending order.
-1/3, v, -3
Let u = -61 + 59. Put 3, u, -1 in decreasing order.
3, -1, u
Suppose -2*g = -2*w, 2*w - 6*w = -3*g + 4. Let p(n) = -2*n + 1. Let j be p(-2). Sort -1, g, j.
g, -1, j
Let v be (-30)/((42/(-4))/7). Suppose -4*t = l - v, -3*t = l + 4 - 19. Sort 4, 2, t in decreasing order.
t, 4, 2
Let m be 1/1*10/2. Suppose 0 = -82*y + 81*y - 4. Sort y, 3, m.
y, 3, m
Let m be (-99)/30 + (-28)/(-35). Sort -0.2, m, -1/6, 3.
m, -0.2, -1/6, 3
Let z = -6 - 9. Let b(j) = j**2 + 3*j. Let v be b(-2). Let w be v/(-5) + 81/z. Sort -4, -1, w.
w, -4, -1
Let i = -0.03 - -6.03. Let u = i + -8. Let g = -13/198 - 1/22. Put g, u, 0 in ascending order.
u, g, 0
Suppose 3*u = 4*w + 23, 6*w - 7*w = -3*u + 17. Put -3, w, 0 in ascending order.
-3, w, 0
Let q = 9 - 9.01. Let t = -0.11 - q. Sort -3/4, 0, t in descending order.
0, t, -3/4
Let m(t) = -t**2 - t + 9*t - 1 - t. Let o be m(6). Suppose -o*u - 3 = 17. Sort u, 2, -1 in decreasing order.
2, -1, u
Let u = 159 - 799/5. Put -2, u, -0.1, 0.9 in decreasing order.
0.9, -0.1, u, -2
Let b be (-42)/105 - (-16)/(-10). Suppose 5*y - 5*v + 13 = 38, -2*y + 4 = 4*v. Suppose 7 = y*n - 1. Sort n, b, 4.
b, n, 4
Suppose 0*g = 3*g. Suppose -2*f + 5*f - 3 = g. Let h = 4 - 4.1. Sort 0.3, h, f in increasing order.
h, 0.3, f
Let f = -4 + -12. Sort -1, 5, f.
f, -1, 5
Suppose -3*v = -5*o - 6, 0 = -2*v - 0*v - 5*o + 4. Suppose 4 = b, 0*l + v*b - 11 = l. Suppose -4*g - 3 + 11 = 0. Put l, 3, g in decreasing order.
3, g, l
Let m = 0.1 - -1.9. Let k = 222.05 + -222. Sort k, 0.2, m.
k, 0.2, m
Let u = -17 - -22. Sort 0, -5, u in decreasing order.
u, 0
|
{
"pile_set_name": "DM Mathematics"
}
|
j = 5*v - 305. Is 29 a factor of u?
False
Let t(p) = 401*p**2 + 136*p - 417. Is t(3) a multiple of 75?
True
Let y be (-3 + 0)*(0 - (-308)/(-12)). Let b = -33 - y. Does 2 divide b/(-8) - ((-1)/4 - 0)?
True
Suppose -25*b + 4*b + 3716 - 5291 = 0. Suppose 2*i = -167 - 221. Let s = b - i. Is s a multiple of 16?
False
Suppose 4*l = t + 17, 0 = -t - 3*t - 3*l + 27. Suppose t*f + 33 - 9 = 0. Let d(w) = w**2 + 8*w + 19. Is 19 a factor of d(f)?
True
Let n(u) = 10*u + 233. Let z be n(-23). Suppose -5*x = -18 - 7. Suppose -3*a = 3*p - 99, x*a - 51 = 3*a + z*p. Is 4 a factor of a?
False
Let x be 82/533 - (-17780)/26. Is ((-1)/2)/((-3)/x) a multiple of 26?
False
Let f = -126 + 274. Suppose -2*y + 46 = 2*l - f, 3*y - 293 = -4*l. Is y a multiple of 5?
True
Let a(l) = l**3 + 29*l**2 + 28*l. Let h be a(-28). Let m = 3 - h. Suppose -7 = m*b - 2*x - 18, -4*x = -3*b + 13. Is b even?
False
Suppose 0*b - b - 40 = -3*z, -5*z + 25 = 0. Let o be -120*(0 + 2/(-4)). Let v = o + b. Does 5 divide v?
True
Let r be 3*9/(15/5). Suppose -2*m + 9 = 3*d, 0 = d - 4*d + m + r. Suppose 0 = -d*c + 11 + 4. Does 4 divide c?
False
Let n(z) = 537*z - 801. Is 116 a factor of n(28)?
False
Let x = 791 + -438. Suppose a - x = -2*h, 0 = -3*h + 4*a + 72 + 430. Is h a multiple of 6?
True
Let s(p) be the first derivative of -p**4/3 + 10*p**3/3 - 9*p**2/2 - 36. Let w(z) be the second derivative of s(z). Is 12 a factor of w(-5)?
True
Suppose -10*r + 12 = 2. Let a be (0 - r)*-59 + 0/14. Suppose 229 = 4*t - a. Is t a multiple of 10?
False
Let w(d) = -8*d**3 - 2*d**2 - 9*d - 1. Does 21 divide w(-5)?
False
Let w = 172 + -168. Suppose f = 3*f + 2*s - 390, -w*f + 4*s = -820. Does 50 divide f?
True
Let k(s) = 4*s**3 - 37*s**2 - 37*s + 33. Let i(z) = 2*z**3 - 19*z**2 - 18*z + 17. Let n(o) = -5*i(o) + 3*k(o). Does 12 divide n(10)?
True
Let g be (-6 - 30/(-5)) + 517. Let p = g + -434. Is 3 a factor of p?
False
Let k be 4/10*90/12. Suppose 3*a - 3*r - 700 = -r, 3*r - 720 = -k*a. Suppose -h + a = 54. Does 26 divide h?
True
Let x = 61 - 59. Suppose 5*c + 0*c = j - x, -5*c + 26 = 3*j. Does 15 divide (-2)/1 + 122 + (7 - j)?
True
Let w = -251 - -61. Let k = w + 93. Let c = -57 - k. Does 20 divide c?
True
Let p(u) = -67*u - 1 - 63*u + 131*u. Let g be p(10). Suppose -2*h - 182 = -2*k, g*h - 6 = 7*h. Is 4 a factor of k?
False
Let v = -4912 + 5251. Does 9 divide v?
False
Let b(n) be the third derivative of 7*n**5/12 - 5*n**4/12 + 7*n**3/6 - 172*n**2. Does 64 divide b(-5)?
False
Suppose l - 6*s = -2*s - 1, 3*s = 4*l - 9. Let m be (4/(-9))/((-1)/6)*l. Suppose -1 - m = -3*c. Is 2 a factor of c?
False
Suppose 47*w - 50*w + 4742 = -2*k, -5*k = 2*w - 3174. Is 45 a factor of w?
False
Let j(c) = -2*c**2 - 112*c + 720. Let u be j(6). Let k be -2 + 182/4*-6. Is k/10*u/15 a multiple of 22?
True
Let q = -236 - -456. Let p = -11 + 26. Is ((-12)/p)/((-2)/q) a multiple of 22?
True
Suppose 2*p - 97 = 599. Let j be 35/16*2 + 417/(-1112). Suppose j*q = t - 0*t + 731, 2*q = 4*t + p. Is q a multiple of 41?
False
Let d be (-3)/(-2 - 7)*33. Suppose 0 = -6*y + d*y - 10. Suppose 5*j - 652 = -n, -n = -3*j + y*n + 384. Does 12 divide j?
False
Suppose -10*m = 2698 + 842. Let q = m + 814. Is 10 a factor of q?
True
Let w = 14 - 14. Suppose -5 = -2*m - v, w = 7*m - 3*m - v - 25. Suppose -c + 900 = m*c. Is 25 a factor of c?
True
Let a = 6911 - 4614. Is a a multiple of 8?
False
Suppose h = -8*h + 36. Suppose h = a - 0. Suppose 73 + 35 = a*l. Does 15 divide l?
False
Suppose 0 = 10*u - 58335 - 25486 + 7681. Is 162 a factor of u?
True
Suppose 1840 = 4*t - 2*l, 0*t + 908 = 2*t + 2*l. Let f be t/(-8) + 3/12. Does 3 divide f/(-27)*-3*-3?
False
Suppose 12*z - 66347 = 949. Does 138 divide z?
False
Suppose -4*a = 0, -3*a = 2*p - 6*p + 1068. Is p + (6 - 2) + -4 a multiple of 9?
False
Let c(g) = -g**2 - 17*g - 27. Suppose 5*x + 97 = 472. Suppose x = -k + 62. Is c(k) a multiple of 5?
True
Suppose -11*s - 59 = -312. Let o be (-26)/(2 + 0) - 0. Let g = s + o. Is g a multiple of 10?
True
Is (77 - 82) + 667*5 a multiple of 57?
False
Suppose -4*o = -1149 - 18803. Is o a multiple of 116?
True
Suppose 137991 = 71*s - 27084. Is 93 a factor of s?
True
Suppose -b + 5*m + 27 = 0, 5*b = -4*m + 15 + 91. Suppose b - 22 = -2*d. Suppose -15*v + 12*v + 648 = d. Does 21 divide v?
False
Let l(t) be the second derivative of -t**5/20 + 5*t**4/4 - t**3/3 - 9*t**2 - 7*t + 2. Is l(9) a multiple of 5?
True
Suppose 25 = j + 5*v, 0*j - j - 10 = -2*v. Suppose j = -4*m + 2*o + 120, 0*m + 5*o = 2*m - 60. Does 7 divide m?
False
Let k = -19517 - -37071. Is 67 a factor of k?
True
Suppose -3*d - 333 = 204. Let n = d + 467. Is 24 a factor of n?
True
Let z = -75 - -79. Let y be (z + 2 - 2) + 241. Suppose -k = -8*k + y. Is k a multiple of 3?
False
Let o be 4/12*(11 - -4). Let f = -41 + 44. Suppose 0 = -o*g + 2*h - 6*h + 180, f*h - 47 = -g. Is g a multiple of 16?
True
Let l = -3011 + 11321. Is l a multiple of 18?
False
Let x(q) = q**3 + 36*q**2 - 35*q + 150. Let t be x(-37). Suppose 74*i - t*i + 3944 = 0. Is 68 a factor of i?
True
Let m(t) be the second derivative of -11*t**3/6 + 26*t**2 - 28*t. Let x be m(0). Is 26 a factor of 7*x*(-3)/(-42)*5?
True
Is 36/(-144) + (-19474)/(-8) a multiple of 6?
False
Let f be 6 + (-21)/4 - (-210)/8. Let w = f - -93. Suppose -5*n + 110 = -w. Does 23 divide n?
True
Let c(m) = -m**3 + 4*m**2 + 44*m + 13. Let n be c(9). Suppose 0 = n*s - 4, 0 = 4*u + s - 4277. Is u a multiple of 8?
False
Let n be 5758/(-8) + 30/(-120). Let v = -513 - n. Is v a multiple of 9?
True
Let y = -247 - -161. Let n = y + 176. Is n a multiple of 18?
True
Let h be (-851 + 15/3)/(-1). Let o = h + -486. Does 9 divide o?
True
Suppose 4*h + 24 = 0, -5*h + 32062 = 5*a - 218108. Does 360 divide a?
True
Suppose -r = -5*g + 9138, -25*r - 5469 = -3*g - 29*r. Is g a multiple of 29?
True
Let t(a) = -a**3 + 9*a**2 - 5*a - 19. Let y be t(8). Suppose -2*n = 5*s - 313, 4*n + y*s - 3*s - 618 = 0. Let d = n - 70. Is 7 a factor of d?
True
Is 9 a factor of (72/(-15))/((-2)/75)*23?
True
Suppose 4*v + 4*v - 352 = 0. Is (1422/(-24))/(v/(-32) + 1) a multiple of 8?
False
Suppose 3*y - 278 + 269 = 0. Suppose -y*w + 3*p - 1401 = -3297, -w + 3*p = -642. Is 57 a factor of w?
True
Suppose m + v - 3 = 3*v, -3*v = 0. Let q(c) = -24*c + 3*c**2 - 4 + 22*c + c**2 + m*c**2. Is q(-3) a multiple of 8?
False
Does 39 divide (3/(-15))/((-120)/150)*(-57948)/(-3)?
False
Suppose -4*q + 3*q + 10 = 0. Let r = 26 + -25. Is (-570)/(-45)*(q - r) a multiple of 14?
False
Let g be ((-5106)/185)/((-6)/80). Let a = -260 + g. Is a a multiple of 57?
False
Suppose 40*o - 35716 + 18843 = 107287. Does 8 divide o?
True
Suppose 3*p = -10*p + 585. Let h be 306/(-15) + 18/p. Is 11 a factor of (-30)/h*((-220)/(-3))/1?
True
Suppose 1000659 + 185226 = 181*v + 184*v. Does 57 divide v?
True
Suppose -4*j - 5*a = 1151, 578 = -2*j - a - a. Let o = j - -503. Is 19 a factor of o?
True
Suppose 23078 = g + 4*s - 5*s, -2*g = -3*s - 46149. Is 95 a factor of g?
True
Let b = 29 - 26. Suppose -b*p = -5*j + 58 + 24, 2*j - 24 = -p. Is ((-16)/(-6) + 0)/(j/462) a multiple of 10?
False
Suppose -14*i + 624 = -12*i. Suppose 0 = 7*a + 60 - i. Is 9 a factor of a?
True
Let z = -13 + 15. Let l(f) = f**2 - 6*f - 3. Let q be l(5). Is 8 a factor of (z/q)/(3/(-228))?
False
Let r(p) = 18*p - 4. Let a be r(1). Let k(n) be the first derivative of 5*n**2 - 3. Is 35 a factor of k(a)?
True
Suppose 2*t + 6 = 0, 0 = -3*w - t + 420 + 27. Is w a multiple of 19?
False
Let t = 33 - 69. Let x be (-4)/5*465/6. Let d = t - x. Does 12 divide d?
False
Suppose 0 = 2*f - 7*f. Suppose f = 4*u + 20, 5*t + 4 + 1 = -5*u. Suppose -k + 3*k = 10, 692 = t*p + 4*k. Is p a multiple of 19?
False
Let w(x) = -2*x - 5*x + 3*x + 3*x + 8. Let v be w(4). Let n = v - -66. Is n a multiple of 7?
True
Let f(j) = j**3 + 6*j**2 - j + 5. Let l be f(-6). Let c(r) = r**2 + r - 9. Let z be c(l). Suppose -g = 4*a - z, -2*a + 443 + 91 = 4*g. Does 26 divide g?
False
Let n be 0 - 762/(-21) - 14/49. Suppose -2*x = -36 + n. Suppose k - 75 - 75 = x. Does 25 divide k?
True
Let r(q) = -7358402*q**2 + 7358404*q**2 - 2*q + 8 + 6*q. Suppose x = -4*g - 10, 4*g + 40 = 4*x - 0*g. Is 8 a factor of r(x)?
True
Let o(w) = -w**3 - 25*w**2 - 23*w + 23. Let j be o(-24). Let a be (-380)/(-50) + j*(-4)/10. Suppose n + 4*c = 27 - a, c = 5*n - 158. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
= -0*k + k, -5*k + 4*b = -758. Suppose 0*c = 2*c - k. Is c prime?
False
Let l(u) = 14*u**2. Let o(g) = -2*g**3 + 2*g**2 - 1. Let t be o(1). Let k be l(t). Suppose -74 = -4*z - k. Is z a prime number?
False
Suppose 0 = -2*c - 5*x + 13, c + 2*x = -c + 10. Suppose -c*q + 6*q - 38 = 0. Is q prime?
True
Suppose -5*p - 2353 = -3*c, -6*p + p - 1562 = -2*c. Is c composite?
True
Is (-10 + 11)*1*31 composite?
False
Let v(w) = 47*w**2 + 13*w + 7. Is v(-6) composite?
False
Let a be (1*-43)/((-2)/(-4)). Let t = 165 - a. Is t composite?
False
Suppose 5*q + 4*y + 26 = -0*y, 0 = -4*q - 4*y - 24. Let w = 7 + -11. Is (17 + (w - q))*1 composite?
True
Let o(j) = 5*j**3 + 4*j**2 - 4*j + 7. Let g(z) = -z**3 + z**2 + z. Let l(a) = 6*g(a) + o(a). Is l(6) prime?
True
Suppose -4*t + 2*t + 10 = 0. Suppose -t*v + 121 + 674 = 0. Is v composite?
True
Let t(b) = 20*b**3 - 2*b**2 - b + 2. Is t(1) a prime number?
True
Suppose 6*p + 0*p = 3510. Suppose 2*z - 262 = -5*b, 0 = 5*z - 3*b - 2*b - p. Is z a prime number?
False
Suppose -2*p + 9 = -5*p, -1550 = -5*q + 5*p. Is q prime?
True
Let n(w) = 149*w - 15. Is n(4) a prime number?
False
Let i(l) = 2*l**2 + 2*l + 5. Let r be i(-6). Let f(u) = -u**2 + 3*u - 2. Let q be f(2). Suppose -5*v + q*v + r = 0. Is v prime?
True
Let m = -587 - -1060. Is m a composite number?
True
Suppose -238 = -5*z - 768. Let h(j) = 39*j. Let k be h(-1). Let r = k - z. Is r a prime number?
True
Let h(z) = 3*z**2 - 8*z - 14. Is h(9) a prime number?
True
Suppose 0*l - 8 = -4*l. Let n be (-92 - -2)*(-23)/l. Suppose -3*i - i - 3*y = -1039, -4*i + y = -n. Is i a prime number?
False
Suppose 6*k - 7*k = -161. Is k a prime number?
False
Let c(o) = -o**3 - 2*o**2 + 2. Suppose 4*z = -9 - 15. Let v be (-17)/3 + (-4)/z. Is c(v) prime?
False
Suppose 3*z = n + z + 8, 3*z = 4*n + 32. Is (-38)/10*(n + 3) composite?
False
Is 209 - (0/(-2) + -2) a composite number?
False
Let a be (8/12)/(4/(-102)). Let t = 4 - a. Is t a composite number?
True
Is (-822)/(-8) - (-19)/76 a prime number?
True
Let m(o) = -o**3 - o**2 + 3*o. Let g(j) = 2*j - 2*j**2 - 5*j + j**3 + 3*j**2. Let n(r) = -6*g(r) - 5*m(r). Is n(-3) prime?
False
Let q be (-9)/(-2)*(-10)/(-15). Suppose j + j - 377 = -z, 0 = 2*j - q*z - 397. Is j composite?
False
Let f(x) = -x**2 - 13*x - 3. Suppose 4*o + 12 + 38 = -5*v, -25 = -5*o. Let w = v - -8. Is f(w) prime?
False
Suppose 2*i - 5*h - 22 = 0, h + 1 = -0*i - 3*i. Is (56 + 5 + -2)*i a composite number?
False
Let c be 2/(-7) + (-4950)/21. Let x = -117 - c. Let n = x - 64. Is n composite?
True
Let n(i) = -13*i + 19. Is n(-10) prime?
True
Let r(m) = m**2 + 9*m + 5. Let z be r(-9). Suppose -3*i + 483 = 3*o, 0 = 2*i - z*i - o + 475. Is i a prime number?
True
Suppose -2*n = -n - 20. Suppose 0 = -m + n. Let z = -13 + m. Is z composite?
False
Suppose 3*h - 1030 = 275. Suppose 3*j - 2*t - h = 0, 5*j - 232 = 2*t + 493. Is j a composite number?
True
Suppose -2939 = -5*b - y, y = 3*b + 128 - 1885. Is b a composite number?
False
Let g(c) = 19*c**2 + c - 17. Is g(-7) a prime number?
True
Let q(b) = b**2 + 6*b + 3. Let d be q(-8). Let x = d + -27. Let y = -2 - x. Is y composite?
True
Is 7/(35/12892) - 12/(-20) composite?
False
Let j = 95 + -8. Is j prime?
False
Suppose -j = -2*j + 1. Let v be ((-1)/(-2))/(j/(-12)). Is (-1)/v - (-195)/18 a composite number?
False
Suppose 0 = -q - 0*q - 38. Let a = 52 + 8. Let w = a + q. Is w prime?
False
Let l = -123 + 7. Let n = 193 + l. Is n a prime number?
False
Is 2632 - -2*2/4 composite?
False
Let u = -33 + 106. Suppose -3*a + 62 = -4*z - 30, -5*z - u = -2*a. Is ((-46)/(-3))/(8/a) a composite number?
True
Let r(z) = -1 - 9*z + 3 + 1 + 2 + 21*z**2. Is r(7) composite?
False
Let m(x) = 224*x**2 + 2*x + 1. Is m(-1) a prime number?
True
Let p(x) = 4*x + 1 - 3*x - 2*x. Let h be p(3). Is (-2)/((4/149)/h) prime?
True
Let m = 4 + -4. Suppose -t + 124 + 247 = m. Is t a prime number?
False
Suppose -u = -2*r + 6, 0 = -5*r + 5*u + 17 - 2. Suppose -70 = r*p - 5*p. Is p a prime number?
False
Is ((-8834)/56)/((-2)/8) a prime number?
True
Suppose -3*d = -2*d + 2*h - 165, 164 = d + h. Is d composite?
False
Suppose 0 = 214*l - 209*l - 1895. Is l composite?
False
Let c = 13 - 10. Let o = -68 - -113. Suppose c*x - o = -0. Is x a prime number?
False
Let t = -1675 + 2374. Is t prime?
False
Let x(c) be the second derivative of -c**3/6 + 157*c**2/2 + 4*c. Is x(0) prime?
True
Suppose 3*b = 6, -3*f + 1387 = -b - 0*b. Is f a prime number?
True
Let s be 199/((3*-1)/3). Let m = 296 + s. Is m a prime number?
True
Suppose 7 = x + 1. Is (-3)/x*-130*1 prime?
False
Let x = -14 + 4. Let u be (2 + x)*(-6)/(-8). Is u/(-15) + 789/15 prime?
True
Let s(q) = -548*q**3 + q**2 + q + 1. Let c be s(-1). Let f = -760 + 374. Let y = f + c. Is y prime?
True
Let c be 236 + 0/(0 - 2). Suppose -c = -o - 3*o. Is o a prime number?
True
Let z(p) = -p - 11. Let i be z(-9). Is (-1)/i - 201/(-6) composite?
True
Let r be 3/(-18) - 478/12. Let w = 78 + r. Is w a prime number?
False
Is 4 - (2 - (4 - -1207)) a composite number?
False
Suppose 0*u - 5*u = g + 15, 4*g = -5*u - 30. Is 3/6 - 41/u a composite number?
True
Is (-4)/22 + 3044/44 a composite number?
True
Let y be 0/(-13) - 1*-5. Is (2 - -57)/(y/25) composite?
True
Suppose 5*m = -0*l - 3*l + 4589, 4*l + 927 = m. Is m a composite number?
False
Let o be (3/2)/((-3)/8). Let a be (-3)/o + 27/12. Let s(v) = 2*v**2 - 3*v + 2. Is s(a) a prime number?
True
Let p be 112 - (-3)/(-6)*-2. Suppose -2*d = -7*d + 240. Suppose -5*j - 4*k = -p, -7*j - 3*k + d = -5*j. Is j a composite number?
True
Let r(p) = -60*p - 5. Let y = 5 + -7. Let d be (3 + y)*1*-5. Is r(d) composite?
True
Suppose -v = 2*v + 3. Is 1*(-24 - 1)*v a prime number?
False
Let r = 63 + -39. Suppose 4*x = -3*q + 70, -q + 0*q - 2*x + r = 0. Is q a prime number?
False
Let d(p) = -p - 1. Let r be d(-3). Suppose -r*f - 3*f = -1475. Is f prime?
False
Suppose -c = 5*c - 7302. Is c prime?
True
Let x(a) = -a**3 + 6*a**2 - 2. Let h be x(3). Suppose 0*z = -2*z + 5*l + 341, h = -5*l. Let y = -81 + z. Is y a composite number?
True
Let t(i) = 11*i**2 - i - 13. Is t(-10) composite?
False
Is (37 - -1)/((-20)/(-350)) - 3 composite?
True
Let q(p) = -3*p - 2. Let j(w) = -5*w - 4. Let t(b) = -4*j(b) + 7*q(b). Let d be t(-3). Suppose a + d*n - 8 = -0*a, -3*n = 2*a - 23. Is a a prime number?
True
Let h(z) = -2*z - 3. Let g be h(-7). Let t = -8 + g. Suppose t*i - 42 = -15. Is i a prime number?
False
Let h(c) = 37*c**2 - 3*c. Is h(2) prime?
False
Let b be 6/(-3) + 4 + 4. Let w be 8/b*(-63)/(-2). Suppose o - w = 37. Is o prime?
True
Let h = 9 + -4. Suppose -2*g = 2*l - 176, -g + 352 = 4*l - h*g. Let s = l - 49. Is s prime?
False
Let j be (-14)/63 - 38/(-9). Suppose 2*t - 10 = -j. Is (t - 0)/((-6)/(-52)) a composite number?
True
Let f(i) = 11*i**2 + 3*i - 6. Is f(-4) composite?
True
Suppose -2*d + 0*d + 16 = 3*u, -26 = -d + 3*u. Is d a prime number?
False
Suppose 0 = x - 3*x - 74. Let i = 63 + x. Is i prime?
False
Let w = 30 - 42. Is 4/w - (-212)/6 prime?
False
Let z(q) = 14*q + 2. Is z(6) a prime number?
False
Suppose -3*k + 945 = 3*s - s, 0 = -2*k + 2*s + 640. Is k composite?
False
Let l(x) = 71*x**3 + x**2 + 2*x + 1. Let c be l(-1). Let y = c + -184. Let k = y - -514. Is k composite?
True
Let s be (-15)/(-9) + 3/9. Suppose 10*l - 401 = 5*l + s*t, -5*t - 94 = -l. Is l prime?
True
Suppose 5*g - 14 = 1. Suppose -2*d + 1 = -g. Suppose -907 + 245 = -d*w. Is w a prime number?
True
Let z(y) = y**2 - 5*y**2 - 4*y - 3 + 3*y**2. Let q be z(-3). Let k(i) = -i**3 + 35. Is k(q) prime?
False
Let o(v) = -241*v**3 + 2*v**2 - 3*v - 3. Is o(-2) prime?
False
Let p(t) = -1 - 3*t**2 + 2*t**2 + 2 + 0 - 11*t. Is p(-8) prime?
False
Let n(t) = -t**3 + t**2 + t - 277. Let u be n(0). Let y = u + 392. Is y composite?
True
Let u = 95 + -10. Is u prime?
False
Suppose -o + 0*q + 3*q + 8 = 0, -5*o = -4*q - 29. Suppose -3*j = -f + 205, -o*f - 4*j + 469 = -518. Is f a prime number?
True
Let t be (13*-5)/(-6 + 7). Let g(p) = -p**3 + 4*p**2 - 7*p + 2. Let h be g(6). Let b = t - h. Is b a composite number?
False
Suppose -123 = -4*j + 749. Is j a prime number?
False
Let s(f) = 7*f**2 - 7*f - 9. Is s(-4) composite?
False
Let f(q) = q**2 - 11*q + 451. Is f(0) a composite number?
True
Let v be (-15070)/(-18) - 2/9. Suppose -237 = -6*g + v. Is g a prime number?
|
{
"pile_set_name": "DM Mathematics"
}
|
t f = -305 + 318. Solve 0 = -s - 4*o - f + 6, 4*s = -5*o + 5 for s.
5
Let n be (22 - 21) + (3 - -4). Solve -m + 12 + n = 5*s, 0 = -4*m - 4*s for m.
-5
Suppose 30*o - 204 + 84 = 0. Solve 3*p + 2*w = 10, -5*p + o*w = -2*p - 16 for p.
4
Let a = -485 - -490. Let z(w) = w**2 - w + 12. Let k be z(0). Let h(q) = q**2 + 5*q - 2. Let b be h(-6). Solve 24 = 3*d - a*j, k = -b*d + 2*j + 30 for d.
3
Let y = -12 - -21. Suppose -2*j + 3 + y = 0. Solve -3*u + j*u = -4*m - 17, -1 = -u for m.
-5
Suppose -3*q = x - 0*q - 14, x = 5*q - 2. Let n = x + -5. Suppose -5*p = -2*h - 6, -n*p + h = 4*h + 9. Solve -5*t + 2*i - 19 = p, -4*i = -2*t - 2 - 12 for t.
-3
Suppose -53*m - 240 = -49*m. Let p = m + 76. Solve -4*r + 2*t = -26, -7*r + 2*r + p = 3*t for r.
5
Let p(d) = -d**3 - d**2 - d + 1. Let v be p(0). Suppose -n + 35 = -v. Solve 3*w = 5*o + 7*w - 4, 5*o = 4*w + n for o.
4
Let u be 0 - 28/(-7)*1/2. Let k be (u + (-15)/6)*(-15 - -7). Solve 2*t - 2*n = 12, k*t + 0*n = 2*n + 22 for t.
5
Suppose -7*p + 3*x = -5*p - 22, 5*p - 77 = 2*x. Solve -5*f - 40 = 5*v, -p = 2*f + 2*f + v for f.
-3
Let f(s) = -7*s**2 + 6*s + 39. Let y(g) = -4*g**2 + 3*g + 19. Let c(d) = -3*f(d) + 5*y(d). Let k be c(9). Solve -4*i + k = -5*o - 0*o, 0 = -i + o + 7 for i.
3
Let k(p) = 4*p**2 + 0*p**2 - 5*p**2 - 5*p + 4. Let u be k(-5). Suppose 0 = 2*b + 2*r - u, b - 4*b - 5*r = -6. Solve 5*t - 6 = -3*o, -o - b*o + 6 = -t for t.
0
Suppose -3*p + 15 = 2*p. Suppose -h + 4*h - 9 = 0. Suppose 0 = -5*g + 20, -h*w - 2*g = -w - 28. Solve 0 = -0*f - f - 2*o - w, f = -p*o - 14 for f.
-2
Suppose 3*n + 19 = 4*n. Suppose 0 = -7*k + n + 9. Solve 0 = -k*b + 6*b + 3*z - 10, -5*b + 4*z - 21 = 0 for b.
-1
Let o = -193 - -289. Suppose 5*t = o + 4. Solve 8*m = 3*m + 3*h - t, -2*h = 0 for m.
-4
Suppose -219 + 240 = 7*q. Solve 2*s = -2*y + 6 - 14, -q*s - 2*y = 12 for s.
-4
Suppose -180 = -31*m + m. Solve 0 = k - m*k - 3*q - 16, 4*k = 5*q - 35 for k.
-5
Let v(u) = u**3 + 5*u**2 + 6*u + 8. Let r = 11 - 15. Let z be v(r). Solve o + 3*a + 5 = z, a - 4 = o + 1 for o.
-5
Let p(k) = k**2 + k + 7. Let m be p(6). Let u = 52 - m. Solve s = -2*r + 1, -u*r - 24 + 8 = 5*s for r.
3
Let d = -10 - -22. Suppose 0*k + 30 = 2*k - 2*g, 5*k + 5*g = 25. Let m = d - k. Solve 2*v - s = 3, -3*v - m*s - 3*s = -11 for v.
2
Let s(x) = 7*x - 2*x - 4*x + 21. Let l be s(-6). Suppose 4*g - g = l. Solve -t = g*d + t - 10, 0 = 2*t - 10 for d.
0
Suppose -n + 4*l = -2, -5*n + 4*l + 28 = -14. Solve -4*x - 15 = -5*s - 5, 0 = 5*s - n for x.
0
Suppose -2*f = q, 5*f + 5*q + 5 = -5. Let p be f/(-13) - (-45)/39. Suppose -3*n + 7 = p. Solve -h = -n*a - 0*a - 9, h + 19 = -5*a for a.
-4
Suppose 3*g = -0*g - 3. Let h be 4 - g - (-2 + 4). Suppose 150 = 2*w + 142. Solve -4*x + 0*x = -h*r + 4, w*x = 4*r - 8 for x.
2
Let b(o) = 0*o + 3*o**2 + 11 - 4 - o**3 - 4*o + 0*o**3. Let y be 3 - ((-6)/(-15) + (-6)/(-10)). Let t be b(y). Solve 0 = -g + t, 16 = -0*p + 2*p + 2*g for p.
5
Let i be -3*6/(-9) - -2. Suppose 3*d + i + 5 = 0. Let v be (5 + d)*3/2. Solve -8 = -o + r, o = -4*o - v*r + 16 for o.
5
Suppose 5*s - 3*q = 25, 4*s - 7*s - 3*q + 15 = 0. Solve 0 = u - 2*u + s, 4*n - 2*u + 14 = 0 for n.
-1
Suppose 2*x + 0*x = -4*o + 20, 26 = 2*o + 5*x. Let m be (-9 + 1)*o/(-6). Solve 4*h + m = -4*u + 2*h, -3*h - 5 = 5*u for u.
-1
Let v = 179 - 161. Suppose 0 = -v*m + 13*m + 30. Solve 3*d = 5*i - m - 20, -20 = -3*i + 4*d for i.
4
Suppose -2*x = -4*f - 36, 2*x + 7*f - 5*f = 12. Solve j + x = -j, 5*s + 10 = -j for s.
-1
Suppose -120 = f - 124. Solve -2*a - 2 = -f*l, 7 = -0*l + 2*l + a for l.
2
Suppose 6*a = -3*m + 2*a - 43, 3*m = 4*a - 83. Let r = 37 + m. Suppose -3*z + 74 + r = 0. Solve 0*d + 35 = 3*y - 4*d, -z = -5*y + d for y.
5
Let j = 964 - 961. Solve j*z + 0 = -c - 13, z = -c - 3 for z.
-5
Let t be ((-45)/12 - 0)/(2/8). Let u = t + 17. Solve 5*v - u*l = 2 - 3, 5*l = -5*v + 20 for v.
1
Suppose 4*d = -16*x + 14*x + 70, -4*d - 4*x + 72 = 0. Solve -27 = -5*p - 4*r + 3*r, 3*p - d = -r for p.
5
Let h = 19 + 24. Let k = 63 - h. Solve -5*c + k = -5*t, 6 + 6 = 3*c + t for c.
4
Let x = 21 - 18. Suppose k + 2*b = 0, k + 12 = x*k + b. Solve 0 = 2*i + d + k, -i - i - 6 = 2*d for i.
-5
Let c(s) = 2*s**3 + 16*s**2 - 17*s + 9. Let l be c(-9). Solve p + 5*m = -8, 0 = -m - l*m - 2 for p.
2
Let o = 2737 + -2735. Solve 2*a = -3*m, m = 3*a - o*a for a.
0
Let n(v) = -v**3 + 2*v**2 + 13*v + 10. Let u be n(5). Solve -3*c - 5*t + 5 - 39 = u, c - 5*t = 22 for c.
-3
Suppose -3*g = 2*r - 17, 1 = r - 2*g - 11. Solve h + 4*c = -6 - r, 4*c = -20 for h.
4
Let h = 40 + -40. Solve -x = -s + 4*x + 27, h = s - 3*x - 17 for s.
2
Let b(h) = 3*h**3 + 4*h**2 - 2*h + 1. Let y be b(3). Let g be (-4)/14 + 1264/y. Solve -2 = 3*d - 4*o + g, 0 = -3*d + 5*o - 14 for d.
-3
Let p(k) = k**2 - 20*k + 27. Let f be 37/2 + (-14)/(-28). Let h be p(f). Solve -2*l + 10 = -2*w, 4*l + h*w = 3*w + 2 for l.
3
Let g = -2044 - -2046. Solve -2*n + 5*o = 14, -8 = -2*o - g*o for n.
-2
Suppose -2*x + 4*x - 16 = 0. Let o(h) = 14*h - 5*h + 8 + 0*h - x*h. Let n be o(-6). Solve -3*b + 1 = 4*w, -n*b + 6*b = 12 for w.
-2
Suppose -5*y - 100 = 5*b, 2*b - 46 = 4*b - 4*y. Let p = -19 - b. Solve -t - 13 = 2*g, g + p*g - 4*t - 8 = 0 for g.
-4
Suppose -u + 3*m + 24 = 0, -2*u - 96 = -6*u - 4*m. Solve -4*v + 5*p + 36 = 0, 2*v + 0*p = 4*p + u for v.
4
Suppose -q + 9 = 2*m, m = 6*q - 5*q - 6. Suppose 0*n = 2*n - 8. Solve -z = 4, n*z + 31 = -q*t + 2*t for t.
-3
Let l = -96 - -118. Suppose -2*t + 3*y = -12, 2*t + 2*t = 5*y + l. Solve 2*v + 5*w - 8 = w, t*v + 4*w = 6 for v.
-2
Let a = 1304 - 1296. Solve -2*u - 3*m = -a + 6, 2*m = -5*u - 6 for u.
-2
Suppose 2*u = 3*u + 1. Let f be (u/2)/(3/(-6)). Solve -5*y + 5 = -5*p, -2*p + 5*y + 3 + f = 0 for p.
-3
Let v = 11 + -12. Let y = 1 - v. Suppose 0 = 3*h - 3, -4*h + 56 = 3*q - y*h. Solve -2*t = 3*x + x - q, 3*x + 3*t = 21 for x.
2
Let r = 12 + -5. Suppose 6*f - 14*f = -40. Suppose -f*o = -r*o. Solve -2*p + 5*y - 6 = 29, -p + 4*y - 25 = o for p.
-5
Let t = 4 + -1. Let q be (-100)/(-40)*24/(-15) + 8 - 0. Solve q = -t*l + 2*r, 0 = -2*l - 5*r - 9 for l.
-2
Let g = -75 + 78. Let a = 43 - g. Solve -x + 2*l = -3*x + 2, a = -5*x + 4*l for x.
-4
Suppose -y = -10 + 8. Suppose -y*n = -n - 29. Solve -5*f - n + 11 = 2*z, f = 2*z + 6 for f.
-2
Let o(p) = 10*p + 5. Let r be o(0). Solve s + 1 = 5*l + 2, -3*l = r*s - 5 for s.
1
Suppose 2*o + h - 9 = 0, -2*o + 14*h - 3 = 11*h. Solve k + 0*k - 4 = -2*z, o*k + 4*z = 6 for k.
-2
Suppose 5*g = -3*z + 27, -4*z - 9 + 7 = -6*g. Solve -g*u = 5*b - 2*b - 3, -5*u + 8 = 2*b for u.
2
Suppose -28 = -3*i + i. Let j(w) = -w**2 + 2*w + 10. Let v be j(0). Let u be ((-4)/(-8))/(1/v). Solve 2*k + 16 = -4*g, g - u*k = -2*g + i for g.
-2
Let i = -52 + 85. Suppose x - 37 + i = 0. Let t be (6/4)/((-3)/(-8)). Solve -q + 5 = -3*f, -t*f + f - 10 = x*q for q.
-1
Let x be (-5)/5 - -5 - (-3)/3. Let o = -1 + 1. Let l be 28 + (-2 - -1 - o). Solve -2*c - 2*c + 21 = -3*u, 4*u = x*c - l for c.
3
Suppose -45 + 53 = 4*p. Solve 3*c - 6 = 9*b - 6*b, -p*c - b = -7 for c.
3
Let y be 94/6 - 10/15. Let j = 5 + y. Suppose 2*s = -2*r - 6, r - 8 - 4 = 2*s. Solve 4*w - j = -3*c, 3*c + r*w - w - 14 = 0 for c.
4
Let d(w) = -6*w + 56. Let i be d(9). Solve 0 = -b - 0*y - 3*y + 1, -i*y = -4 for b.
-5
Let l be 8/5 - (-4)/10. Let r(h) be the second derivative of h**4/6 - 7*h**3/6 - 11*h**2/2 + h. Let x be r(6). Solve l*z + 3*u = 0, 3*u - x = 5*z + 2 for z.
-3
Let x = 30 + -35. Let t = 6 + x. Suppose q + 20 = 5*q. Solve 5*s + t = -19, -5*s - 25 = -q*m for m.
1
Let f = 392 + -387. Solve 4*q = 3*r - 6*r + 14, -10 = -f*q for r.
2
Suppose -47 = -20*n + 33. Solve -3*o + n*o = 5*v, 3*o + 12 = 3*v for v.
-1
Let r = 14 - 10. Suppose -2 = -4*g - 2*y, -4*g - 2 = -r*y - 34. Solve 4*w = -g*t - 5 + 1, 5*w = -5*t - 10 for t.
-4
Let d = 92 - 87. Solve -1 = 3*y - d*n + 1, y - 2*n + 1 = 0 for y.
1
Suppose -5*g = -10*g. Suppose -2*b - 5*r - 4 = -6*b, -b - 5*r = -26. Suppose g = 2*s - b*s + 124. Solve -4*h + 17 = 5*a, -5*a = -5*h + 2*h - s for a.
5
Let o(r) = 2*r**2 - 3*r - 3. Let f be o(3). Suppose 3*s - f*s + 3 = 0. Suppose -s = -6*n + 17. Solve -3*k + 21 = -4*z, -n*z = 2*z - k + 18 for z.
-3
Let h = -1081 + 1092. Solve -2*f - f - t - h = 0, -4*f + 3*t = 19 for f.
-4
Suppose 18 = 2*w - 5*w. Let z be -8*((-1)/w + 4/(-6)). Solve -3*i = 2*i + y + 3, -z*i + y = -
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the closest to o in s, 5, 4?
s
Let o = -57.12 - 2.88. Let d = o - -64. Which is the nearest to -3? (a) 0.5 (b) d (c) 2
a
Let i = 41 + -69. Let c = 19.2 + i. Let d = c + 5.8. What is the closest to d in 0.2, 1/3, -4?
-4
Suppose 0 = 18*b + 11 - 29. Let n = -0.91 - 0.09. Let k = 1 + -1.2. What is the closest to n in k, -5, b?
k
Let j(m) = -m**2 - 19*m + 27. Let z be j(-21). Let q = 24.9 - 25. Which is the nearest to q? (a) -5 (b) -3/7 (c) z
b
Suppose 3*y = -5*m + 11, -4*m = -5*y + 1 + 5. Let o = 33 - 53. Let j = o + 19.9. Which is the closest to j? (a) 3 (b) m (c) -2/5
c
Let o be 19*(-2124)/(-13680) + 16/(-5). Let j = 13 - 3. Which is the nearest to o? (a) 3 (b) -0.1 (c) -3 (d) j
b
Let c = 3883.8 - 3884. Let r be (-10 + 8)*2/(-10). What is the closest to -1/2 in c, 0.19, r?
c
Let v = 182.42 + 3.58. Let j = -185.9 + v. What is the closest to -2 in j, -2/7, -1/7, -1/3?
-1/3
Let o = -0.9062 - -24.9062. Which is the closest to -3? (a) 5 (b) o (c) 3
c
Suppose -5*f = -0*f + 10. Let h = -209.498 - -211.498. Which is the nearest to f? (a) -4 (b) h (c) -2
c
Let c = 4.77875 + 0.22125. What is the closest to 0 in 4, c, 60?
4
Let h = 3372 + -3376. Which is the nearest to -1/5? (a) -0.6 (b) h (c) 5 (d) 9
a
Suppose 73 - 148 = -5*z. Suppose -4*a + 3 = 4*v + z, 4*a - 5*v - 33 = 0. Suppose -2 = a*t + r, 0 = 3*t - r - 5 - 2. What is the nearest to 0.1 in 4, 0.5, t?
0.5
Let v be (-238)/(-20) + 770/(-140) - (7 - 2). What is the nearest to -1 in -1/4, v, -1/10, -4/5?
-4/5
Let w = 5955 + -5955.1. What is the closest to w in -1/2, 9, 0.2?
0.2
Suppose 0*t = -3*t. Let z(w) = -w**3 - 36*w**2 - 5. Let q be z(-36). What is the closest to t in -4, 0.19, q?
0.19
Let r = 1714 + -1707. What is the closest to r in -3, -2, 2/15?
2/15
Let n be 9/180*1/(4/30). Let j = -2923/30 - -488/5. Which is the nearest to n? (a) j (b) -0.3 (c) 0.4
c
Let o = 2.2657 + 2.7343. What is the nearest to -0.1 in 3, -0.2135, o?
-0.2135
Let i be 4/24*(-1215)/950. Let m = -7/190 + i. Let o = -3 + 2.5. Which is the nearest to m? (a) o (b) -3 (c) 2
a
Let p be ((-1)/1)/((-12)/(-300)). Let u = 29 + p. Suppose 23 = u*z + 15. Which is the closest to -1/6? (a) 0 (b) 1 (c) z
a
Let u(i) = -i**3 - 5*i**2 + 7*i + 4. Let l be u(-6). Let a = -495287.9 - -495288. What is the nearest to -9 in l, -4, a, 3?
-4
Let j = -4.56 + -0.44. Suppose -8 = -3*k + 4. Suppose 0 = 62*o - 58*o + k. Which is the closest to o? (a) 0.2 (b) -3 (c) j
a
Let t = -0.00498 - 3.99502. Which is the nearest to -29? (a) t (b) 0.3 (c) -5
c
Let r be (-1)/(-4) - 221/68 - -5. Suppose 0 = -4*w - 16 + 4. Which is the nearest to r? (a) -0.5 (b) 2/23 (c) w
b
Let p = 317 - 125. Let o be ((-2)/(-4))/(3/p). Let y = o + -69/2. Which is the closest to -2? (a) y (b) -5 (c) -0.4
a
Let v be 2/6*-4 - -1. Let h = 879 - 1041. Let w = 160 + h. Which is the closest to w? (a) 0.07 (b) -1/2 (c) v
b
Let n be 3*2/(-8) + 1. Let g = 151.29 - 136.29. What is the closest to n in 1/2, g, 5?
1/2
Let j = 18137.5 + -18140. Which is the closest to -12? (a) 1/5 (b) -5/3 (c) j
c
Let j be 4 + -9 + (-34)/(-8). Let f = -9.952 + 10. Let g = f - -0.352. Which is the closest to -1? (a) -5 (b) g (c) j
c
Suppose -2*z + 4*v = 18, 11*z - 16 = 13*z - 3*v. What is the nearest to 0 in 1/11, 21, 0.4, z?
1/11
Suppose 5*a - 270 + 5 = 0. Let t = 423/8 - a. Let h be (-1120)/(-112)*(-7)/(-70). What is the nearest to h in -0.6, -5, t?
t
Let j(n) = -1. Let y(t) = 11*t + 2. Let h(w) = -6*j(w) - y(w). Let o be h(1). Let i be (-3)/1 + 14/o. Which is the closest to -2/11? (a) 4 (b) i (c) 3
c
Let k be ((-56)/(-36) - 1)*78/65. Let x = 4.93 + 0.07. What is the nearest to -2/7 in x, -2/13, k?
-2/13
Let r be (-129)/(-645)*(-40)/36. Which is the nearest to 68? (a) -1/5 (b) r (c) -13
a
Let g = 0 + -0.2. Let h = 18260 - 18263. Which is the closest to -0.04? (a) g (b) h (c) 0
c
Let o(r) = -r**3 + 51*r**2 - 188*r - 3. Let p be o(47). Which is the nearest to 4? (a) p (b) 3/10 (c) -0.04
b
Let x = 28644.6 - 28645. Let i = -2.05 + 0.05. Which is the nearest to i? (a) -2/11 (b) x (c) 0.05
b
Let b = -79 - -54.8. Let q = -24 - b. Let y = -0.4678 - 0.0322. What is the nearest to y in q, 3, 5?
q
Let z = 10.18 - 18.27. Let w = -8 - z. Let k = w + 3.91. Which is the closest to 0.1? (a) 11 (b) k (c) -2/5
c
Let f be 2/(-31) - ((-42174)/(-558))/(-71). Let y = 2 + -4. Let m = -3 - -3.1. Which is the closest to f? (a) -2/13 (b) m (c) y
b
Let l = -23591 - -235909/10. What is the closest to 1/385 in -1/2, l, 0?
0
Suppose 0 = -5*w + 3*v + 110, -87 + 132 = w + 4*v. Which is the closest to 1/22? (a) -2/5 (b) w (c) 0.4
c
Let i(d) = -128*d**2 - 1279*d + 7. Let g be i(-10). Let q = -2.5 - -2.3. What is the nearest to 4 in q, g, -0.4?
q
Let d = -500.8 + 564. Let w = d - 63. Which is the closest to 3? (a) w (b) 1 (c) -20
b
Let h be ((-1949)/(-5847))/((-2)/6*7). Let u be (-3)/(-3) - (-1)/(-3). Let q = 3 - 3.2. Which is the closest to 0.03? (a) q (b) u (c) h
c
Let v = -482.31 + 481.31. Suppose -r - 69 = -3*l, 4*l - 92 = 6*r - 2*r. Let x = 95/4 - l. Which is the nearest to 1? (a) v (b) x (c) -3
b
Let a = 644 - 647. What is the closest to -0.3 in a, -1/8, -0.1, 1?
-1/8
Let u(z) = -z**2 - 137*z - 2796. Let l be u(-25). Which is the closest to -0.1? (a) l (b) -1/8 (c) 1/4 (d) 5
b
Let n = 25.04 - 25. Let o = -0.54 + n. Suppose 4*c = 2*u - 2, -c + 4*u - 2 - 9 = 0. What is the closest to c in -2, o, 0.1?
0.1
Let u = -348.0372 + 0.0372. Let x = u + 347. Which is the closest to -0.2? (a) 2 (b) 5 (c) x (d) -3
c
Let b = -3 + 3.5. Let h = -29.156 - -29.176. What is the nearest to 3/4 in b, 5, -2/7, h?
b
Let x = 2 + 1.5. Let g = 1.5 + x. Let h = 1239 + -1243. Which is the closest to -2? (a) h (b) -3 (c) g
b
Let m(j) = -j**3 - 5*j**2 - 5*j - 1. Let k be m(-4). Let d = 37.036 + -0.036. Let g = -37 + d. Which is the closest to k? (a) -5 (b) g (c) -1/2
b
Let u(n) = n**2 - 124*n - 2. Let h be u(0). Let x = 0.08 + -0.08. What is the closest to 0.4 in h, -4, x?
x
Let i = 539 - 152. Let l = -403 + i. Which is the nearest to 0? (a) -3 (b) l (c) 0.5
c
Let o = -168.49 + 172.49. Which is the nearest to o? (a) 28 (b) 2 (c) -0.03
b
Suppose 0 = -2*x - 3713*y + 3714*y - 4, -2*y - 47 = x. Let i be -1 + 2/(4/5). Which is the nearest to x? (a) -3 (b) i (c) 5 (d) 3
a
Let w = -0.5 + 7.3. Let r = 10.8 - w. Which is the nearest to 4? (a) -4 (b) r (c) 0.1
b
Let w = 2090 - 2082. Which is the closest to -0.7? (a) 2/9 (b) 12 (c) w
a
Let w = -1692.8 + 1702.8. Which is the nearest to w? (a) -3/4 (b) -2/9 (c) 17 (d) -1
c
Let c(s) = 7*s + 51. Let y be c(-19). Let w = 279 + y. Let a = w - 1381/7. What is the closest to a in -0.5, 0.01, 1?
-0.5
Let l = 4939.7 - 4940. Which is the nearest to 0.3? (a) 2/11 (b) 2.4 (c) l
a
Let c = 10 - 6. Let d = 1094.8 + -1095. What is the nearest to 0.27 in d, c, 0.4?
0.4
Let p = 204.2 - 204. Let d = 0.6 - -3.4. Let y = -0.01 + 2.01. Which is the nearest to p? (a) y (b) -5 (c) d
a
Let u be (-2)/(-6) + 456/(-72). Let h = u + 52/9. Let j = 0.12 - 0.1. Which is the closest to 1? (a) h (b) 5 (c) j
c
Let q = 39 - 25. Let n be 0/(-2) - q/77. Let i be 2/(-1) + 7/42*10. Which is the nearest to n? (a) 1/6 (b) i (c) 4
b
Let k = 64 - -50. Let c = 113.58287 + -0.08287. Let a = c - k. What is the nearest to 1 in 0.1, a, -2?
0.1
Let c = -9 + 8. Let j = 797/2 + -399. What is the closest to j in c, 0.5, 1.4?
c
Let w(l) = -10*l**3 - 79*l**2 - 6*l - 38. Let u be w(-8). What is the nearest to -2/3 in u, -2/7, 5, 0?
-2/7
Let k be 27*24/3888*6. Let f = 0.36 - 0.16. Which is the closest to -53? (a) 1/3 (b) k (c) f
c
Let t = 2689.7 - 2877. Let v = -188 - t. What is the closest to 0 in v, 1/2, 1/4?
1/4
Let k = -4281 + 4282. Suppose -8*x + 11*x = -12. Which is the closest to -1/2? (a) x (b) k (c) -1/3
c
Suppose -2*x - 3*u + 10 = 0, -u - 6 = -x - 3*u. Which is the closest to x? (a) -54 (b) -2 (c) 5 (d) -0.5
d
Suppose 0 = -6*y + y - 5. Let h be (-9685)/52 + y/(-4). Let d = h + 2792/15. Which is the closest to 0? (a) -1/4 (b) d (c) 0.3
b
Let g = -114 - -229/2. Let v = 587.9 + -588. What is the nearest to v in -3, -0.11, g?
-0.11
Let i = 3558.05 + -3690. Let n = i - -132. What is the nearest to n in -1, -0.2, -0.4?
-0.2
Let n be
|
{
"pile_set_name": "DM Mathematics"
}
|
-39. Let u be (-4 - -10) + (-53)/y. Factor 0*v**2 + 2/9*v**3 - 2/9*v - 1/9 + u*v**4.
(v - 1)*(v + 1)**3/9
Let q(t) be the third derivative of t**8/6720 - t**7/420 + t**6/80 - 14*t**5/15 + 147*t**2. Let w(j) be the third derivative of q(j). Factor w(p).
3*(p - 3)*(p - 1)
Let a(x) = 5*x**3 + 95*x**2 + 280*x + 190. Let s(z) = -28*z**3 - 477*z**2 - 1400*z - 951. Let l(m) = -33*a(m) - 6*s(m). Solve l(o) = 0.
-2, -1, 94
Let w(a) be the second derivative of -33*a**6/10 - 201*a**5/10 + 355*a**4/4 - 88*a**3 - 18*a**2 - 15*a + 21. Solve w(c) = 0 for c.
-6, -2/33, 1
Let d = 44 + -15. Let j(a) = -7*a + 38. Let i be j(5). Factor -12*m - 14*m**2 - 33 + d + 2*m**2 - 4*m**i.
-4*(m + 1)**3
Let i(x) be the third derivative of x**8/1680 + x**7/126 - 67*x**4/24 - 15*x**2. Let l(q) be the second derivative of i(q). Factor l(c).
4*c**2*(c + 5)
Let n = 79147/65960 + 1/13192. Let u(f) be the second derivative of 0*f**2 + 0 + n*f**3 - 44*f - 1/15*f**4. Let u(v) = 0. What is v?
0, 9
Let o(h) be the second derivative of h**4/3 - 86*h**3 + 756*h**2 - 77*h - 8. Factor o(x).
4*(x - 126)*(x - 3)
Let h be ((-40)/48)/(4430/6). Let i = 3537/6202 - h. Factor -i*d**2 + 0 - 2/7*d**3 - 2/7*d.
-2*d*(d + 1)**2/7
Suppose 0 = -2420*z - 816*z + 55012. Let -625/3 + 1/3*x**5 + 674/3*x**3 - 225*x + 574/3*x**2 + z*x**4 = 0. What is x?
-25, -1, 1
Let p be ((-2)/5 - (-34)/85) + (-12)/(-24). Let a(f) be the second derivative of f**2 - 1/10*f**5 + 2*f + p*f**4 - f**3 + 0. Factor a(n).
-2*(n - 1)**3
Let p(l) = -l**3 + 52*l**2 - 224*l + 311. Let a = 14 - 17. Let c(f) = -4*f**3 + 156*f**2 - 672*f + 936. Let w(i) = a*c(i) + 8*p(i). Suppose w(d) = 0. What is d?
4, 5
Let z(t) = 2*t**2 - 17*t - 16. Let u be z(11). Let o be u/(3510/(-576)) - 14/(-2). Factor -3/5*r**2 + 6/5*r - o.
-3*(r - 1)**2/5
Let g(i) = 77*i + 9428. Let x be g(-122). Let o(y) be the second derivative of -x*y + 0 - 5/12*y**4 - 55/3*y**3 - 605/2*y**2. Find j, given that o(j) = 0.
-11
Let a = 58516/51765 + 92/7395. Determine p so that 8/7*p - 4/7*p**2 + 4/7*p**4 + 0 - a*p**3 = 0.
-1, 0, 1, 2
Let p(k) = 5*k**2 - 12*k + 40. Let w(o) = -11*o**2 + 26*o - 75. Let z(t) = -t**2 + t + 2. Let s(m) = w(m) - 2*z(m). Let y(a) = 7*p(a) + 4*s(a). Factor y(l).
-(l - 6)**2
Suppose l + 0 = -3*s - 7, -3*l = -2*s - 12. Suppose -47*f**2 + 220*f - 115*f**3 + 120 + 17*f**4 - 203*f**l + 28*f**4 - 20*f**4 = 0. What is f?
-2, -2/5, 1, 6
Factor 8*x**3 - 28*x - 42*x**3 - 116*x + 12*x**3 - 57*x**2 + 19*x**3.
-3*x*(x + 3)*(x + 16)
Factor 694*s + 4232*s - 6*s**3 - 1188*s**2 - 2115 - 201*s**2.
-3*(s - 3)*(s + 235)*(2*s - 1)
Let h be ((-108)/(-24))/((-3)/(-2)). Factor 6*c**h + 5*c**3 - 3*c**3 - c**4 - 6*c**3 - c**2.
-c**2*(c - 1)**2
Let g be (-3168)/528 - (5/(-2))/((-15)/(-60)). What is l in -4/5*l**2 + 2/5 + 0*l + 0*l**3 + 2/5*l**g = 0?
-1, 1
Let s(u) = -16*u**3 - 3602*u**2 - 7302*u + 36. Let l(g) = -6*g**3 - 1441*g**2 - 2921*g + 14. Let a(d) = 18*l(d) - 7*s(d). Factor a(i).
4*i*(i - 183)*(i + 2)
Let g(v) be the second derivative of v**4/48 - 29*v**3/6 - 2*v - 1. Factor g(b).
b*(b - 116)/4
Let z = 549 + -477. Let n be 9/z*(-5 + 23 + 0). Factor -3/4*q**2 + n*q + 0.
-3*q*(q - 3)/4
Let m(q) be the second derivative of -15*q**2 + 0*q**4 - 30*q + 35/6*q**3 + 0 - 1/4*q**5. Solve m(r) = 0.
-3, 1, 2
Factor -155*l - 142 - 140*l - 140*l**2 + l**3 + 12*l.
(l - 142)*(l + 1)**2
Let i(r) be the first derivative of -196*r - 28*r**2 - 21 - 4/3*r**3. Factor i(w).
-4*(w + 7)**2
Let s be ((-1)/(-53) + 9555/4823)/1. Factor -3/2 - 1/2*k + k**s.
(k + 1)*(2*k - 3)/2
Suppose 5 = 219*g - 218*g. Let u(w) be the second derivative of 0 + 0*w**2 + 3/14*w**3 + 1/140*w**g - 1/14*w**4 + 15*w. Solve u(p) = 0 for p.
0, 3
Factor 774/7 - 776/7*x + 2/7*x**2.
2*(x - 387)*(x - 1)/7
Let s be (-4 - (-156)/13)/(1/1). Let p(b) be the first derivative of 4/27*b**3 + 8/9*b + s + b**2. Suppose p(x) = 0. Calculate x.
-4, -1/2
Factor -2/5*d**4 - 86/5*d**3 - 164/5*d**2 + 0 + 0*d.
-2*d**2*(d + 2)*(d + 41)/5
Suppose 10*d = 4*z + 74, 3*z - 4*d - 1453 = -1456. Factor 36 - 1/3*t**4 - z*t**2 + 14/3*t**3 + 12*t.
-(t - 6)**2*(t - 3)*(t + 1)/3
Factor -2*k + 1/9*k**2 - 27.
(k - 27)*(k + 9)/9
Let i(q) be the first derivative of -2*q**5/25 + 152*q**4/5 - 240*q**3 + 3584*q**2/5 - 4768*q/5 + 446. What is g in i(g) = 0?
2, 298
Let o(q) be the first derivative of 3*q**5/5 + 129*q**4/4 + 41*q**3 - 129*q**2/2 - 126*q + 1344. Factor o(i).
3*(i - 1)*(i + 1)**2*(i + 42)
Let s(f) = -5*f + 10*f - 3 - 3*f - 3*f. Let t be s(-5). Factor 6 - 14*n - 10 + 4*n + 5*n**t - 11.
5*(n - 3)*(n + 1)
Let g(z) = -14*z**3 - 1842*z**2 + 798*z + 794. Let j be g(-132). Suppose 45/4*i**j + 9 + 24*i - 9/4*i**3 - 3/2*i**4 = 0. Calculate i.
-2, -1/2, 3
Let d = -11219 + 11224. Let p(m) be the first derivative of 1/2*m**4 + 0*m**2 + 0*m - 35 - 1/5*m**d + m**3. Factor p(b).
-b**2*(b - 3)*(b + 1)
Solve -6/5*o**3 + 11/10*o + 1/10*o**5 + 0 - o**2 + o**4 = 0 for o.
-11, -1, 0, 1
Let n(v) = -v**3 + 18*v**2 + 24*v + 63. Let u be n(20). Let j = -257 - u. Factor 2/11 + j*d - 2/11*d**2.
-2*(d - 1)*(d + 1)/11
Let l be (-276)/(-130870)*10/3. Let c = l + 1102/5121. Factor c*j**3 + 2*j + 4/3*j**2 + 8/9.
2*(j + 1)**2*(j + 4)/9
Factor -2337*w**2 - 4795*w**2 + 98*w**3 - 1986 - 147*w**3 + 45*w**3 + 14276*w - 5154.
-4*(w - 1)**2*(w + 1785)
Let r(o) = -13*o**2 + 14*o + 26. Let n = -537 - -512. Let q(p) = 55*p**2 - 55*p - 105. Let k(a) = n*r(a) - 6*q(a). Factor k(y).
-5*(y + 2)**2
Let p(w) = -w**2 - 11*w - 2. Let h be p(-8). Suppose 0 = -2*d + 5*d - 9. Factor -31*f + 0*f**2 + h*f - d*f**2.
-3*f*(f + 3)
Let p(n) be the first derivative of n**4/2 - 3896*n**3/21 + 135803*n**2/7 - 77284*n/7 - 4008. Suppose p(o) = 0. Calculate o.
2/7, 139
Factor -61*b**3 - 3660*b + 3841/2*b**2 + 1800 + 1/2*b**4.
(b - 60)**2*(b - 1)**2/2
Let y(z) be the first derivative of -z**3/9 - 5*z**2 + 136*z/3 + 1121. Factor y(k).
-(k - 4)*(k + 34)/3
Let n(o) = -o**3 + 6*o**2 - 6*o + 7. Suppose 3*p + p - 20 = 0. Let g be n(p). Solve 4*r**3 + 16 - 3*r - 16*r**2 - 2*r + 3*r - g*r = 0 for r.
-1, 1, 4
Let o(r) = -268*r**3 - 1607*r**2 - 2437*r - 56. Let i(m) = -m**3 + m**2 + 2*m - 2. Let w(g) = i(g) - o(g). Suppose w(x) = 0. What is x?
-3, -2/89
Let v be 56/140 + (-88)/(-5). Let r(o) be the second derivative of -18*o - 8*o**3 - 4/3*o**4 + 0 - v*o**2. Solve r(q) = 0.
-3/2
Suppose 15 = 3*k + 3*o, 2*k + o - 10 = 2*o. Suppose -22 = -k*g + 3*g. Find y, given that 3 + 18*y**2 - g + 13*y**2 - 20*y - 19*y**2 = 0.
-1/3, 2
Let f(d) be the third derivative of d**7/300 + 17*d**6/300 + 14*d**5/75 + d**4/5 - 47*d**3 + 47*d**2. Let l(x) be the first derivative of f(x). Factor l(z).
2*(z + 1)*(z + 6)*(7*z + 2)/5
Let a(x) be the first derivative of -x**6/30 - 331*x**5/25 + 999*x**4/20 - 1001*x**3/15 + 167*x**2/5 - 865. Factor a(l).
-l*(l - 1)**3*(l + 334)/5
Let p(y) be the second derivative of -95*y + 65/12*y**4 + 0 - 1/4*y**5 + 0*y**3 + 0*y**2. Find c such that p(c) = 0.
0, 13
Let w be 22/537*(-307)/(-4) + -3. Let c = 4/179 + w. Determine r, given that 0*r - 1/6*r**2 + c = 0.
-1, 1
Let z(j) be the second derivative of j**7/840 + j**6/240 + j**5/240 - 39*j**2 + 141*j. Let w(n) be the first derivative of z(n). Factor w(c).
c**2*(c + 1)**2/4
Let a = 7277 - 4439. Let n = 6164 - a. Factor -3335 + n + 6*g + 0*g**2 + 3*g**2.
3*(g - 1)*(g + 3)
Suppose -2198*r - 924*r**2 + 648*r - 484*r**3 + 653*r + 456*r = 0. What is r?
-21/22, 0
Suppose -q - 131 = -12. Let t be ((-1)/3)/(-3 - q/42). What is j in -t*j - 363*j**2 + 363*j**2 + 2*j**3 = 0?
-1, 0, 1
Let p(y) be the third derivative of -y**7/350 + 3*y**6/100 + 19*y**5/100 - 3*y**4/5 + 2*y**2 + 15*y. Find t such that p(t) = 0.
-3, 0, 1, 8
Let q(h) = -h**3 + 12*h**2 + 15*h - 53. Let a be q(13). Let j be 12/(-20) - a/20. Suppose 0 + j*k**2 + 3/8*k + 3/8*k**3 = 0. What is k?
-1, 0
Factor -3*q**3 - 16/3*q**2 - 160/3 + 724/3*q.
-(q - 8)*(q + 10)*(9*q - 2)/3
Let f(h) be the third derivative of 1/70*h**7 + 0*h**3 + 183*h**2 + 0 + 0*h + 0*h**4 + 81/20*h**5 - 9/20*h**6. Suppose f(u) = 0. What is u?
0, 9
Let p(s) = 27*s**4 + 1024*s**3 - 3501*s**2 + 660*s + 4. Let n(w) = 28*w**4 + 1026*w**3 - 3499*w**2 + 660*w + 6. Let j(d) = 2*n(d) - 3*p(d). Solve j(q) = 0.
-44, 0, 1/5, 3
Let t = -177 - -147. Let l be (-80)/t*3/6. What is d in -2/3*d**2 - 2/3 - l*d = 0?
-1
Let w(f) be the third derivative of f**6/105 +
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{
"pile_set_name": "DM Mathematics"
}
|
3052116 and 217.
217
Calculate the highest common factor of 1632 and 234039.
51
Calculate the highest common divisor of 40 and 7329080.
40
What is the greatest common factor of 1577 and 2242?
19
Calculate the highest common factor of 13 and 3393676.
13
Calculate the highest common divisor of 605 and 208483.
121
Calculate the highest common factor of 664 and 4344.
8
What is the greatest common factor of 280 and 590380?
140
Calculate the highest common factor of 11109 and 399.
21
Calculate the highest common divisor of 269750 and 1040.
130
Calculate the greatest common divisor of 2834433 and 18.
9
Calculate the highest common factor of 369440 and 120.
40
Calculate the highest common factor of 76 and 7714.
38
Calculate the highest common factor of 917 and 133.
7
Calculate the greatest common factor of 68 and 77408.
4
What is the greatest common factor of 6482636 and 1434?
478
What is the greatest common divisor of 12 and 43563?
3
What is the greatest common factor of 259 and 10471?
37
Calculate the greatest common divisor of 21667 and 47000.
47
Calculate the greatest common factor of 71262 and 2568.
642
Calculate the highest common divisor of 517328 and 9114.
434
Calculate the greatest common divisor of 1775 and 43452.
71
Calculate the highest common factor of 3620806 and 98.
98
Calculate the greatest common divisor of 2356 and 1672.
76
What is the greatest common divisor of 2297885 and 185?
185
Calculate the greatest common factor of 28 and 35847.
7
What is the highest common factor of 38415 and 59085?
195
What is the greatest common divisor of 1110381 and 609?
87
Calculate the greatest common divisor of 7485 and 15.
15
Calculate the highest common factor of 1349814 and 36.
6
What is the greatest common divisor of 1248 and 1589718?
78
What is the greatest common divisor of 69104 and 5264?
112
Calculate the highest common factor of 2843225 and 6125.
1225
What is the highest common divisor of 21 and 71871?
3
What is the greatest common factor of 94611 and 915?
183
What is the greatest common divisor of 44 and 15367?
11
What is the greatest common factor of 60 and 369444?
12
Calculate the greatest common factor of 37964 and 20.
4
Calculate the greatest common divisor of 4471 and 3.
1
What is the greatest common factor of 377 and 1300?
13
What is the highest common factor of 427 and 23729?
61
What is the highest common factor of 16 and 206376?
8
Calculate the highest common factor of 1449 and 10332.
63
What is the greatest common factor of 749388 and 9456?
2364
Calculate the greatest common factor of 30066 and 96.
6
Calculate the highest common factor of 11832 and 100776.
408
Calculate the greatest common factor of 7425 and 1925.
275
What is the greatest common divisor of 713 and 64511?
31
Calculate the greatest common divisor of 9 and 19304.
1
What is the greatest common factor of 12246 and 26?
26
What is the highest common divisor of 18155 and 40?
5
What is the greatest common factor of 22841 and 364?
91
What is the highest common factor of 45 and 14379?
3
What is the greatest common factor of 752 and 1316?
188
Calculate the greatest common divisor of 31103 and 494.
19
What is the highest common factor of 790 and 1351374?
158
Calculate the highest common factor of 2166 and 99408.
114
What is the highest common factor of 221 and 102?
17
Calculate the highest common factor of 3048 and 138.
6
Calculate the greatest common factor of 29748 and 570.
6
Calculate the greatest common divisor of 1675534 and 1330.
266
Calculate the greatest common divisor of 10 and 436130.
10
What is the greatest common divisor of 65 and 33696?
13
Calculate the highest common divisor of 186 and 2694.
6
Calculate the greatest common factor of 340 and 78115.
85
What is the highest common factor of 70 and 18090?
10
Calculate the highest common divisor of 1408 and 29524.
44
What is the greatest common divisor of 81 and 32313?
3
Calculate the greatest common factor of 34369 and 1.
1
Calculate the highest common divisor of 98 and 9947.
49
Calculate the highest common factor of 140 and 139405.
35
What is the highest common divisor of 5577 and 1?
1
What is the greatest common factor of 169893 and 9675?
387
Calculate the greatest common factor of 612 and 107784.
36
What is the highest common divisor of 67743 and 52?
13
What is the highest common divisor of 1350 and 19440?
270
Calculate the highest common factor of 260 and 16484.
52
Calculate the greatest common divisor of 2747145 and 30.
15
What is the greatest common factor of 2303 and 893?
47
What is the highest common divisor of 108 and 172233?
27
Calculate the highest common divisor of 25 and 98765.
5
What is the greatest common factor of 895621 and 2422?
173
Calculate the highest common divisor of 2112 and 1600.
64
Calculate the greatest common factor of 569539 and 606.
101
What is the highest common divisor of 48 and 79336?
8
What is the greatest common divisor of 693924 and 99?
33
What is the highest common divisor of 43 and 222353?
43
What is the highest common factor of 13 and 129870?
13
Calculate the greatest common factor of 150 and 231525.
75
Calculate the highest common divisor of 1008 and 22239.
63
What is the highest common factor of 372 and 2104962?
186
What is the highest common divisor of 1612 and 2132?
52
Calculate the highest common factor of 1870 and 5390.
110
Calculate the greatest common divisor of 281744 and 4.
4
Calculate the greatest common factor of 12360 and 31020.
60
Calculate the highest common divisor of 27568 and 62.
2
Calculate the greatest common divisor of 130050 and 234.
18
What is the greatest common divisor of 3135831 and 3?
3
What is the highest common divisor of 2778 and 2073314?
926
What is the highest common factor of 776 and 6540516?
388
What is the highest common divisor of 38 and 20666642?
38
Calculate the highest common divisor of 448183 and 508.
127
Calculate the greatest common divisor of 213594 and 12222.
582
Calculate the highest common factor of 568600 and 500.
100
What is the greatest common factor of 70 and 5894?
14
Calculate the greatest common factor of 9 and 4491.
9
What is the greatest common divisor of 6 and 1038?
6
What is the highest common divisor of 43560 and 310?
10
Calculate the highest common divisor of 71434 and 4675.
187
What is the highest common divisor of 188451 and 9?
9
Calculate the highest common divisor of 16807 and 448.
7
What is the highest common factor of 38474 and 4?
2
What is the greatest common factor of 4360 and 12862?
218
What is the highest common factor of 853 and 3991187?
853
Calculate the greatest common factor of 20 and 3964.
4
Calculate the greatest common factor of 10416 and 7728.
336
Calculate the greatest common factor of 8312 and 8.
8
Calculate the highest common divisor of 294 and 12250.
98
Calculate the highest common factor of 249573 and 690.
69
Calculate the highest common divisor of 1171 and 27.
1
What is the highest common factor of 12 and 618525?
3
What is the highest common factor of 120 and 750?
30
What is the highest common divisor of 47 and 539983?
47
Calculate the greatest common factor of 68424 and 108.
12
What is the highest common divisor of 22 and 24365?
11
Calculate the highest common factor of 2379 and 2.
1
Calculate the greatest common factor of 4230 and 7614.
846
Calculate the greatest common factor of 184 and 143911.
23
Calculate the greatest common divisor of 1818927 and 133.
19
Calculate the highest common factor of 44 and 69157.
11
Calculate the greatest common factor of 65808 and 1304.
8
What is the highest common divisor of 4340 and 12950?
70
Calculate the highest common factor of 5975 and 342487.
239
What is the highest common factor of 836 and 396?
44
What is the greatest common divisor of 441189 and 329?
329
What is the highest common divisor of 345600 and 1560?
120
What is the greatest common factor of 60396 and 84?
84
Calculate the highest common divisor of 16608102 and 21.
21
Calculate the highest common divisor of 1007 and 689.
53
What is the highest common factor of 11729 and 21239?
317
Calculate the highest common divisor of 11988 and 16132.
148
Calculate the highest common divisor of 26 and 2538.
2
What is the highest common divisor of 12012 and 5852?
308
Calculate the highest common divisor of 118680
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 2 - y**3 - 1943*y**2 + y + 1943*y**2 in the form m + t*y**3 + a*y + q*y**2 + w*y**4 and give m.
2
Rearrange -20*m**3 - 6*m**2 + 6*m**2 - 2*m**2 + 42*m**3 - m to the form v*m + k*m**2 + f + j*m**3 and give k.
-2
Express -10*t**2 + 0*t**2 - 2*t**2 - 2*t**2 as f*t**2 + u + w*t and give f.
-14
Rearrange v**2 - v**2 - v**3 + (-v - 1 + 1)*(-v**2 + 2*v**2 + 0*v**2) + 0*v**3 + 3*v**3 + 0*v**3 to t*v + d*v**2 + s*v**3 + y and give s.
1
Rearrange r - 2*r + 2*r + (-22 + 36 - 26)*(-8*r + 1 - 1) to a*r + w and give a.
97
Express -3 - p**2 + p**4 + 361*p - 361*p as a*p**2 + h*p + y + m*p**3 + u*p**4 and give a.
-1
Express (1 - 3 + 4)*(-45 + 122 - 8 + 2*h**2) as s*h + b + k*h**2 and give b.
138
Express -3*d**4 + d**3 - d**4 - 22*d**2 + 23*d**2 as l*d**3 + h + a*d**4 + o*d**2 + y*d and give l.
1
Rearrange p**3 + 6 - 2*p + 5*p**4 - 4*p**4 - 1 - 3 to b*p**4 + k*p**3 + x*p**2 + m + h*p and give k.
1
Express 64 - 30*a**2 - 65 + 0*a**2 - 7*a**2 in the form h + u*a**2 + i*a and give u.
-37
Express d**2 + d**2 + 7 + 9 - 14 in the form g*d + p + k*d**2 and give p.
2
Rearrange r**2 - 2 + 5*r + 2*r**2 + 2 to g*r**2 + h + v*r and give g.
3
Rearrange -12*a**4 - 8*a**2 + 3*a + 0 - 9*a**4 + 22*a**4 - 3 to t*a**2 + c + h*a + f*a**4 + y*a**3 and give t.
-8
Express -11*t + 9*t - t**2 + 2*t**4 + 2*t**3 - 1 + t in the form f + h*t**3 + x*t**2 + s*t + v*t**4 and give f.
-1
Rearrange y - y**3 - 1 + 2*y**3 + 4 - 3*y**3 to the form l*y**2 + v*y**3 + t + j*y and give t.
3
Express (-4*u + 3*u - 10*u)*(2*u - 3*u + 0*u)*(-2*u - 1 + 0*u + 3*u) as l*u**2 + h*u + w*u**3 + s and give l.
-11
Rearrange (g**2 + 3*g**2 - 5*g**2)*(-1 - 9*g - 2 + 5) to m*g**3 + x*g**2 + y*g + d and give x.
-2
Express z**2 - z**2 + z + 2*z**2 + 4 - 4 + z**2 + (-1 - 1 + 6)*(2*z - 2*z**2 - 2*z) in the form n + h*z**2 + j*z and give h.
-5
Rearrange (-286*g - 283*g + 629*g - 280*g)*(2 + 4 - 4) to the form c*g + q and give c.
-440
Express 3*i**2 - 1 - 2 - 2*i**2 in the form n*i + g + z*i**2 and give z.
1
Rearrange (2*n + n + 5*n)*(n + n - 3*n + 0*n - 2*n + 4*n + (-1 + 2*n + 1)*(6 - 4 + 0) + 1 - 2*n - 1 - 5*n - 7 + 7) to the form q*n**2 + x*n + m and give q.
-16
Rearrange -5*t**4 - 2*t**3 - 30 - t**3 - 26 + 57 to j + p*t**4 + u*t**3 + b*t**2 + x*t and give u.
-3
Express (-l**2 - 2*l**2 + 5*l**2)*(-3*l**2 - 4*l + 4*l) + 2*l**4 + 4*l**4 - 7*l**4 in the form s*l**2 + i*l + x*l**3 + y*l**4 + n and give y.
-7
Express -83 + 0*s**2 + 96 + 2*s**2 in the form n*s**2 + k*s + q and give n.
2
Rearrange -15*v**2 + 0*v + 5*v - 5*v to the form o + j*v + w*v**2 and give w.
-15
Rearrange (-4 + 7 - 2)*(-4 + 2*w + 4 - 2*w + 0 + 0 + (-2*w + 0*w + 4*w)*(4 - 1 - 2) - 4*w + 4*w + 2*w - 3*w + w + 4*w) to y*w + a and give y.
6
Rearrange -19*k**2 + 5 + 5 - 13 - 2*k**3 + 4 to b*k**3 + f + n*k**2 + r*k and give n.
-19
Express 9*g**2 - 5*g + 16 + 5*g - 10*g**2 as u + f*g**2 + s*g and give f.
-1
Rearrange -u + 0 + 0 + (2 + 0 + 1)*(u - u - 2*u) to p*u + x and give x.
0
Rearrange -2*u**2 - u**4 + 10*u - 9*u + 0*u**2 - 2*u**2 to d + y*u**2 + g*u**4 + r*u + n*u**3 and give y.
-4
Express -w**3 - 11*w**4 + 3*w**3 - w**3 - 2*w**2 - 4*w**3 as n*w**2 + i*w**4 + r + z*w**3 + l*w and give n.
-2
Rearrange 2*x**4 + 3 + 2*x**2 + 13*x - 2 - 16*x to z + b*x**3 + h*x**4 + c*x + q*x**2 and give c.
-3
Express -3*r**2 - 3 + 1 + 0 + 10*r**2 in the form c*r + q + t*r**2 and give q.
-2
Rearrange (-13*d - 6*d - d)*(-d**2 - 2*d**2 - 2 + 5*d**2) to j + k*d**2 + t*d + a*d**3 and give t.
40
Rearrange (2*t - 3*t + 0*t)*(2 + 0 - 10)*(4 - 3 + 1) to the form h*t + b and give h.
16
Express z**2 + 1 - 2 - 5 + 3 in the form t*z**2 + w + j*z and give t.
1
Rearrange -4*n + 2*n**2 + 2*n + 0*n + 6*n**4 - 2*n**3 to b*n**2 + m*n**3 + k*n**4 + v + q*n and give q.
-2
Rearrange 1 - 49*z - 4 - 2 + 3 to p + h*z and give p.
-2
Rearrange 2*t + 4*t**3 - 2*t**3 + 3*t**4 + 12 - 6 to f*t**4 + c*t**3 + i*t + x + o*t**2 and give f.
3
Rearrange -z**2 - 2*z**3 - 77 + z**2 + 64 to h*z + l*z**3 + q + m*z**2 and give q.
-13
Express (3*a - 3*a + 4*a)*(28*a**2 - 57*a + 57*a) + (-a**3 + 0*a**3 + 3*a**3)*(5 - 2 - 2) in the form u*a**2 + j*a**3 + l*a + g and give j.
114
Express (3*u**3 - 6*u**3 + 2*u**3)*(21*u - 31*u + 25*u) as v*u**3 + q*u + k*u**4 + l + g*u**2 and give k.
-15
Rearrange 41*x + 69*x**2 + 39*x - 82*x + (3*x - x - 3*x)*(2*x + 0*x - 3*x) to d + v*x + s*x**2 and give s.
70
Express (3*p - 2 - 5*p - 2)*(17 - 1 - 6)*(4*p - 4*p + p**2) in the form o + q*p**2 + t*p + c*p**3 and give t.
0
Rearrange 43*s**2 + 3*s**2 + 72*s - 72*s to the form x + m*s**2 + y*s and give m.
46
Rearrange (3*g + 0*g - 4*g)*(3*g**3 - g**3 - 3*g**3) to the form m*g**2 + x*g**3 + a*g**4 + r + y*g and give a.
1
Express (-2*k + 0 + 0)*(-32 - 31*k + 54 - 18) as j*k + h*k**2 + a and give h.
62
Express -12 + 17 - 2*r**2 + 2*r**2 - r**3 in the form g*r + q + i*r**2 + u*r**3 and give u.
-1
Express -p - 2 + 0 + 2 as q*p + g and give q.
-1
Express -2*l**2 - 10*l**2 + l**2 + 0*l**2 in the form a*l + j*l**2 + r and give j.
-11
Rearrange 2*d + 9*d + 10*d - 5*d to the form p*d + a and give p.
16
Express -9*b + 9*b - b**3 + b**4 + 0*b**2 - 4*b**2 as g*b + k*b**4 + o + l*b**3 + r*b**2 and give k.
1
Express -3*d + 5*d + 152*d**2 - 2*d in the form h*d**2 + f*d + c and give h.
152
Express 3*s + 4 - 4 + (4 - 8 - 6)*(5 + s - 5) as d + o*s and give o.
-7
Rearrange g**3 + 0*g**3 - 3*g**3 + (-37*g + 19*g - 33*g)*(-2 - 1 + 2)*(5*g**2 - 5*g**2 - 3*g**2) to the form v*g**2 + k + y*g + r*g**3 and give r.
-155
Rearrange -s + 6*s**2 - 2*s**3 + 2*s**2 - 2*s**4 - 9*s**2 to f*s**3 + c*s**4 + q + v*s + r*s**2 and give v.
-1
Rearrange 1 + 3*m**4 + 5*m**2 - m**3 - 7*m**4 + m + 6*m**4 to the form f*m + t*m**2 + j*m**4 + u*m**3 + z and give f.
1
Express (5*l - 5*l - l**2)*(-2*l - l - l)*(2 + 6*l - 2) as c*l**2 + q*l**3 + o + i*l**4 + n*l and give i.
24
Rearrange (-b - 3*b + 0*b)*(-6 + 1 + 3)*(-3 - 10 - 4) to the form q*b + r and give q.
-136
Express 9 - 23 - 3*z + 14 as n + k*z and give k.
-3
Rearrange (-3*y**4 + y**4 + y**4)*(-34 - 4 + 86)*(-1 + 2 + 0) to the form n*y + u*y**3 + p*y**2 + m + f*y**4 and give f.
-48
Express -x**3 - x**2 - x**3 + 2*x**4 - x**3 - 6 + 5*x**3 as f*x**2 + h + d*x**3 + b*x + z*x**4 and give z.
2
Express (-i - 8*i**2 + 8*i**2 - 25*i**2 - i**3)*(0*i - 2*i + 3*i) in the form g*i**2 + a*i**3 + f*i + v + y*i**4 and give g.
-1
Rearrange 2*z**2 + 9*z**3 - 14*z**3 - 19*z**3 + 3*z - 10*z**3 to l*z**3 + r + q*z + s*z**2 and give s.
2
Express 25*x - 28*x + 20*x in the form h*x + l and give h.
17
Express 15*v**3 - 6*v**3 - 2 - v**2 - 17*v - 8*v**3 in the form k*v**3 + s*v**2 + b + t*v and give k.
1
Rearrange -12 + 12 + 9*n**2 - 18*n**2 - 3*n**3 to the form s*n**2 + w*n**3 + i*n + c and give s.
-9
Rearrange 70*q + 2*q**2 - 5*q**2 - 69*q to z*q + d + x*q**2 and give z.
1
Rearrange q**2 - 11*q**2 + 2*q - 4*q**2 + q**2 to the form t*q + m*q**2 + j and give t.
2
Rearrange -16*t**2 + 6*t**2 + 18*t**2 + 89*t**2 to w*t + i*t**2 + j and give i.
97
Rearrange -31*v - 47 + 47 - 29*v to the form q*v + y and give q.
-60
Rearrange u - u + u**3 + (-2*u**3 + 2*u**3 + 4*u**3)*(4 - 2 + 1) - 2*u**2 + u**3 + 2*u**2 to p*u + j*u**3 + r + x*u**2 and give x.
0
Express 5*u - 9*u - 4*u**3 + 9*u**3 as q + b*u**2 + w*u**3 + s*u and give s.
-4
Express -3*u**3 + 1 - 289*u**2 + 2*u - u**4 + 289*u**2 in the form a*u**3 + h*u**2 + d*u**4 + w + z*u and give d.
-1
Rearrange 0*n + 0*n - 3*n + (1 + 1 + 0)*(3*n + 0*n - n) + n - 5*n + 5*n - 7*n + 3*n + 3*n to t*n + s and give t.
1
Express -26*f**3 + 20 + 10*f**3 + 12*f**3 in the form c*f + h + q*f**3 + b*f**2 and give h.
20
Rearrange -n + 6*n**2 + 4 - 3 - 7*n**2 - 5*n**2 to the form u*n + c*n**2 + f and give f.
1
Rearrange -1 + 1 + 4*q - 1 + (0 + 0 - q)*(-5 + 3 + 1) to the form z + s*q and give z.
-1
Rearrange -4*v**2 - v + 4 + 10*v**3 - 11*v**3 + 2*v**2 to the form a*v**2 + w*v + z*v**3 + b and give a.
-2
Express -155 + 155 - 22*q in the form r + w*q and give w.
-22
Rearrange (-3*u**2 + 5*u**2 - u**2)*(-1385 - 27*u + 1385) to d*u**3 + p*u + i + m*u**2 and give d.
-27
Express (g - 6*g + 3*g)*(4 - 4 + 2) + 73*g + 141 - 141 as s*g + w and give s.
69
Express -3*j - j + 0*j + 2*j - 4*j + j + (2*j + 0*j + 0*j)*(2 + 0 + 1) in the form o*j + n and give o.
1
Express 4*z - z**3 + 2 - 11*z**4 + 9*z**4 + 5*z**4 in the form r*z**2 + q*z**3 + l
|
{
"pile_set_name": "DM Mathematics"
}
|
s divided by 6546?
19
Calculate the remainder when 211507 is divided by 165.
142
What is the remainder when 74284 is divided by 385?
364
Calculate the remainder when 34443 is divided by 107.
96
What is the remainder when 219502 is divided by 810?
802
What is the remainder when 328 is divided by 17?
5
Calculate the remainder when 203126 is divided by 45.
41
Calculate the remainder when 43170 is divided by 9.
6
What is the remainder when 1392 is divided by 463?
3
Calculate the remainder when 22567 is divided by 56.
55
Calculate the remainder when 3100 is divided by 3062.
38
Calculate the remainder when 46672 is divided by 7776.
16
Calculate the remainder when 1932 is divided by 1880.
52
What is the remainder when 230866 is divided by 75?
16
Calculate the remainder when 222783 is divided by 15912.
15
What is the remainder when 5436 is divided by 155?
11
Calculate the remainder when 11978 is divided by 5956.
66
What is the remainder when 160512 is divided by 196?
184
Calculate the remainder when 102954 is divided by 13.
7
Calculate the remainder when 123155 is divided by 396.
395
What is the remainder when 606469 is divided by 43?
40
What is the remainder when 4851 is divided by 21?
0
Calculate the remainder when 63590 is divided by 30.
20
What is the remainder when 229909 is divided by 393?
4
Calculate the remainder when 1546 is divided by 365.
86
Calculate the remainder when 238754 is divided by 13.
9
Calculate the remainder when 1348351 is divided by 703.
700
Calculate the remainder when 484157 is divided by 127.
33
What is the remainder when 963011 is divided by 327?
323
What is the remainder when 52477 is divided by 256?
253
Calculate the remainder when 2769 is divided by 5.
4
Calculate the remainder when 5663 is divided by 2758.
147
What is the remainder when 12073 is divided by 99?
94
What is the remainder when 107028 is divided by 154?
152
What is the remainder when 107523 is divided by 293?
285
What is the remainder when 322081 is divided by 366?
1
Calculate the remainder when 2830 is divided by 206.
152
Calculate the remainder when 14031 is divided by 825.
6
Calculate the remainder when 199871 is divided by 99934.
3
Calculate the remainder when 239199 is divided by 18.
15
Calculate the remainder when 33882 is divided by 5.
2
Calculate the remainder when 437 is divided by 232.
205
What is the remainder when 81267 is divided by 449?
447
What is the remainder when 2953 is divided by 846?
415
What is the remainder when 2214 is divided by 92?
6
Calculate the remainder when 4806399 is divided by 8.
7
Calculate the remainder when 29328 is divided by 9748.
84
What is the remainder when 35216 is divided by 387?
386
Calculate the remainder when 369 is divided by 294.
75
What is the remainder when 5494 is divided by 1762?
208
Calculate the remainder when 60026 is divided by 243.
5
Calculate the remainder when 126077 is divided by 1466.
1
Calculate the remainder when 2925 is divided by 583.
10
What is the remainder when 17287 is divided by 3425?
162
What is the remainder when 1085 is divided by 643?
442
What is the remainder when 255210 is divided by 160?
10
What is the remainder when 4157 is divided by 27?
26
Calculate the remainder when 1681489 is divided by 41.
38
What is the remainder when 656086 is divided by 812?
802
Calculate the remainder when 3575 is divided by 510.
5
Calculate the remainder when 24161 is divided by 42.
11
Calculate the remainder when 11650 is divided by 2904.
34
What is the remainder when 46905 is divided by 6696?
33
Calculate the remainder when 17876 is divided by 120.
116
What is the remainder when 284912 is divided by 99?
89
Calculate the remainder when 1238 is divided by 565.
108
Calculate the remainder when 5524 is divided by 4030.
1494
Calculate the remainder when 48689 is divided by 61.
11
Calculate the remainder when 1094 is divided by 1052.
42
Calculate the remainder when 14648 is divided by 3660.
8
Calculate the remainder when 3091199 is divided by 1120.
1119
Calculate the remainder when 115295 is divided by 33.
26
Calculate the remainder when 9899 is divided by 3283.
50
What is the remainder when 3287 is divided by 521?
161
What is the remainder when 103852 is divided by 1675?
2
What is the remainder when 91389 is divided by 3?
0
Calculate the remainder when 25750 is divided by 255.
250
What is the remainder when 18349 is divided by 5?
4
Calculate the remainder when 2326356 is divided by 46.
44
What is the remainder when 5272 is divided by 1652?
316
Calculate the remainder when 629161 is divided by 11.
5
What is the remainder when 3484 is divided by 53?
39
What is the remainder when 124468 is divided by 2146?
0
What is the remainder when 152078 is divided by 152031?
47
Calculate the remainder when 23050 is divided by 1920.
10
What is the remainder when 985 is divided by 470?
45
Calculate the remainder when 35594 is divided by 539.
20
What is the remainder when 19513 is divided by 1701?
802
Calculate the remainder when 6842 is divided by 116.
114
Calculate the remainder when 1177 is divided by 491.
195
Calculate the remainder when 19769 is divided by 19.
9
Calculate the remainder when 31822 is divided by 31.
16
Calculate the remainder when 102426 is divided by 6827.
21
Calculate the remainder when 1085 is divided by 352.
29
Calculate the remainder when 19807 is divided by 213.
211
Calculate the remainder when 610692 is divided by 788.
780
What is the remainder when 81687 is divided by 474?
159
What is the remainder when 10565 is divided by 184?
77
Calculate the remainder when 7288 is divided by 85.
63
Calculate the remainder when 516 is divided by 440.
76
Calculate the remainder when 292808 is divided by 4880.
8
Calculate the remainder when 66365 is divided by 16571.
81
Calculate the remainder when 99475 is divided by 28.
19
What is the remainder when 197 is divided by 79?
39
Calculate the remainder when 105752 is divided by 137.
125
Calculate the remainder when 11575 is divided by 373.
12
What is the remainder when 5842 is divided by 1947?
1
What is the remainder when 339811 is divided by 186?
175
What is the remainder when 8992 is divided by 1282?
18
Calculate the remainder when 8016 is divided by 7931.
85
What is the remainder when 18223 is divided by 84?
79
Calculate the remainder when 5464 is divided by 910.
4
What is the remainder when 60807 is divided by 274?
253
Calculate the remainder when 22432 is divided by 830.
22
Calculate the remainder when 1362615 is divided by 90.
15
What is the remainder when 966119 is divided by 24?
23
Calculate the remainder when 20316 is divided by 26.
10
What is the remainder when 2159088 is divided by 33?
30
What is the remainder when 358298 is divided by 57?
53
Calculate the remainder when 3098 is divided by 926.
320
What is the remainder when 9786 is divided by 15?
6
Calculate the remainder when 17730 is divided by 1042.
16
What is the remainder when 241238 is divided by 12695?
33
What is the remainder when 31870 is divided by 40?
30
What is the remainder when 48216 is divided by 246?
0
What is the remainder when 62464 is divided by 20819?
7
Calculate the remainder when 39071 is divided by 725.
646
What is the remainder when 225048 is divided by 14?
12
Calculate the remainder when 1688022 is divided by 8.
6
What is the remainder when 223115 is divided by 74363?
26
What is the remainder when 37540 is divided by 17?
4
What is the remainder when 23803 is divided by 64?
59
What is the remainder when 3138 is divided by 3085?
53
Calculate the remainder when 69905 is divided by 1792.
17
Calculate the remainder when 7550 is divided by 13.
10
Calculate the remainder when 2302 is divided by 10.
2
Calculate the remainder when 70722 is divided by 226.
210
What is the remainder when 101605 is divided by 15?
10
Calculate the remainder when 1548 is divided by 551.
446
What is the remainder when 122456 is divided by 390?
386
What is the remainder when 51145 is divided by 239?
238
Calculate the remainder when 38067 is divided by 184.
163
Calculate the remainder when 2352 is divided by 170.
142
Calculate the remainder when 1317 is divided by 383.
168
Calculate the remainder when 5235 is divided by 1939.
1357
Calculate the remainder when 7337 is divided by 195.
122
What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate the greatest common divisor of l and 30.
30
Suppose 2*s = -4, 12 = 2*a + 2*s - 12. Suppose 197 = -4*h + 3*n - 1534, n = h + 434. Let m = -427 - h. What is the highest common factor of m and a?
2
Let l be 705/10 - ((-7)/(-14) + 0). What is the greatest common divisor of l and 90?
10
Let p(y) = 4*y - 58. Let n be p(17). Suppose -23*d - n = -28*d. Suppose 5*w - 70 = -4*a, -a + 56 = 6*w - d*w. Calculate the highest common factor of 7 and w.
7
Let d = 43 - 35. Let f(c) be the first derivative of 2*c**3/3 - 9*c**2/2 - 5*c - 16. Let z be f(d). Calculate the greatest common divisor of z and 17.
17
Suppose 6*v = -5*t + 2*v + 94, 0 = t + v - 18. Suppose -3*u + t*u = 627. Suppose 0 = -5*l + 228 + 102. Calculate the highest common divisor of l and u.
33
Let a = -50 - -50. Let f = -1 + a. Let b be 3*f*65/(-39). Calculate the highest common divisor of 5 and b.
5
Suppose 28*c + 1897 - 9414 = 4579. What is the greatest common factor of c and 528?
48
Let d be (-345454)/(-30) - (11 - 1141/105). Calculate the greatest common factor of d and 705.
235
Let f(w) = -485*w**3 - w**2 + 3*w + 3. Let h be (31/(-93))/(1 + (-2)/3). Let g be f(h). Suppose 8*r - g = 7*r. What is the greatest common divisor of r and 44?
44
Let j be 2*3/(6/(-8)). Let a = j - -20. Let t be 370/15 + (-100)/150. Calculate the highest common divisor of t and a.
12
Let w = 83290 - 81879. Let m(r) = -r**2 - 8*r + 5. Let a be m(-6). What is the greatest common factor of w and a?
17
Let d = -218606 - -218720. Let x(r) = -7*r + 2. Let n be x(-4). Calculate the highest common divisor of n and d.
6
Suppose -3*d = -8*d + 495. Suppose -p + 2125 - 2115 = -c, 0 = p - 4*c - 7. Calculate the highest common divisor of p and d.
11
Suppose 5*j = 84 - 9. Suppose -6*y = -3*y + 207. Let z = -66 - y. What is the highest common divisor of z and j?
3
Suppose -o = -7*o + 12. Suppose 4*w = -o*w + 270. What is the greatest common divisor of 765 and w?
45
Let d(s) = s**2 - 7. Let l be d(5). Let w be (-17 + -7)*(-3 - -5). Let p be (-8)/6 - 2224/w. What is the highest common factor of l and p?
9
Suppose 207*n - 206*n = 3. Suppose 8*k - n*k - 2*o - 482 = 0, -383 = -4*k - o. Calculate the highest common divisor of 72 and k.
24
Let n be (-2 + (-123)/6)*(-37356)/99. Calculate the greatest common factor of n and 30.
30
Let y = -223 - -231. Suppose -y = 275*u - 276*u. Suppose -4*n = -3*n - 24. Calculate the greatest common divisor of u and n.
8
Suppose z - 24 = f, -3*f = -4*f + 3. Suppose -4*w + 40 = 4*m, -3 = -4*m - w + 25. What is the highest common factor of z and m?
3
Suppose 5*q - 234 = -4*o, -4*q = -q + 3*o - 138. Suppose 7404 + 1146 = q*d. What is the highest common factor of 36 and d?
9
Suppose -1549*j + 1527*j = -10934. What is the highest common divisor of j and 49?
7
Suppose -117718 = -19*r - 18196. What is the highest common factor of r and 162?
54
Suppose -95*d + 97*d - f = 199, 0 = 2*d + 5*f - 229. What is the highest common divisor of d and 442?
34
Suppose -4*g + 104 = 2*d - 644, -4*d + 3*g + 1551 = 0. Calculate the highest common factor of d and 36.
12
Suppose -6*g - 720 = -10*g. Suppose 2*z = -7*z + g. Suppose 2*w - 8*b = -3*b + 370, -2*b = 2*w - 356. Calculate the highest common factor of w and z.
20
Let f = 13952 + -13721. Calculate the greatest common divisor of f and 2805.
33
Let l be 353202/1147 - 12/(-186). What is the highest common factor of l and 1100?
44
Let i = -53 + 53. Suppose i*s + 972 = 4*s. Calculate the greatest common factor of s and 27.
27
Let x be (6*2/9)/((-45)/(27405/(-116))). What is the highest common divisor of 1519 and x?
7
Suppose 11*i = -14*i + 50. Let s(m) = m**3 - 3*m**2 + 2*m + 5. Let a be s(i). Let g = -7 + 32. Calculate the greatest common divisor of a and g.
5
Let j = -38 - -40. Suppose j*q = 11 - 3. Suppose -q*m = 45 - 305. Calculate the greatest common factor of 26 and m.
13
Let i be 441/15*(-9 + 12/3). Let w = -133 - i. What is the greatest common divisor of 28 and w?
14
Suppose r = -2*l - l + 8, -32 = -4*r - 2*l. Let q be ((-3)/6)/(-1)*2/1. Let j be q*-5 + 255/3. Calculate the highest common divisor of r and j.
8
Let i(y) = -2 + 54*y - 6 + 58*y. Let d be i(2). What is the greatest common factor of 12 and d?
12
Let v be 12/3*(-2)/(-8). Suppose 0 = -y + 4*s + v, 0*y + 5*y - 22 = 3*s. Suppose -y*t + 693 = 4*t. Calculate the greatest common factor of t and 11.
11
Let s be (-104)/6*(18/(-8))/(48/32). Let q = -5 - -7. What is the greatest common factor of s and q?
2
Let i(z) = -2*z**3 - 23*z**2 - 18*z - 49. Let y be i(-11). What is the highest common factor of y and 259?
7
Suppose 40*w - 12*w - 55860 = 0. Calculate the highest common factor of w and 420.
105
Let o = -69 - 93. Let g = -154 - o. Let l be 18 + 2/(-2) + -1. What is the highest common divisor of g and l?
8
Let r(x) = -x**2 + 3*x + 10. Let o be r(5). Suppose -4*b + 2*c + 10 + 10 = 0, o = b - 3*c - 5. Calculate the greatest common factor of 120 and b.
5
Let p be (-66)/(-1) - (-2)/3 - (-745)/(-447). Calculate the greatest common divisor of p and 2977.
13
Let r = -282 + 285. Suppose 2*u = -0*l + 4*l - 50, r*l - 34 = 5*u. What is the greatest common divisor of 819 and l?
13
Suppose 4*z = -i + 14597, -57*z - 4*i = -59*z + 7312. What is the greatest common divisor of 100 and z?
50
Let d = -3946 - -4002. Let u(g) = g**3 - g**2 - 6*g. Let s be u(7). What is the greatest common factor of d and s?
28
Let r be 1 + -1 - (-2)/(-4)*-210. Calculate the greatest common divisor of 1239 and r.
21
Suppose 3*i - 2*p = 97 + 213, -4*p = 2*i - 180. Calculate the greatest common divisor of 220 and i.
20
Suppose 51*t - 25987 = 21749. Calculate the greatest common divisor of 792 and t.
72
Let b(y) = y**3 + 11 + 5 + 5*y**2 + 2*y + 2*y**2. Let w be b(-7). Suppose -j + p = -5, -j = -3*j - 5*p + 10. What is the greatest common factor of w and j?
1
Let c be 3*-1 + (-6 - (16 - 7)). Let o be c/4*(6/(-3))/1. Suppose -m + 58 = 3*p + 2*p, 4*p = -4. Calculate the highest common factor of o and m.
9
Suppose 33*g + 325 = 1480. Calculate the greatest common factor of 1925 and g.
35
Suppose j - 2*m + 7*m + 11 = 0, -3*j + 15 = -m. Suppose -d + 4*v = 4*d - 782, -d = -j*v - 166. What is the highest common factor of 42 and d?
14
Let z(a) = -a**2 - 11*a - 8. Let l = 1 + -10. Let r be z(l). Let g = 7317 - 7312. Calculate the greatest common factor of r and g.
5
Let o(h) = -h**2 + 141*h + 1182. Let u be o(147). What is the greatest common divisor of u and 648?
12
Suppose -17*g + 34*g = -25*g + 2814. Calculate the highest common divisor of 73 and g.
1
Let w = 1107 + -979. Calculate the greatest common factor of 3136 and w.
64
Let p(v) = v**3 + 4*v**2 - 9*v + 33. Let b = -342 - -336. Let t be p(b). What is the greatest common divisor of t and 65?
5
Suppose 0 = 6*j - 4*j. Let d be 3*-2*(-3)/(-3 - j). Let m(s) = s**3 + 4*s**2 - 16*s - 20. Let z be m(d). Calculate the greatest common factor of z and 36.
4
Let q be 26 + (-42 - 2)/(-11). What is the greatest common factor of 366 and q?
6
Let j(k) = -8*k**3 + 7*k**2 - 93*k - 773. Let t be j(-8). Calculate the greatest common divisor of t and 945.
105
Let l = 3966 - 3920. What is the greatest common factor of 115 and l?
23
Let v = -781 - -1213. Calculate the highest common divisor of v and 594.
54
Let i(m) = 28*m**2 + 551*m + 3865. Let c be i(-7). What is the greatest common divisor of c and 48?
12
Let a(t) = t**3 + 3*t**2 - 609*t + 50. Let v be a(-26). Suppose 67 = -2*r + 193. Calculate the greatest common divisor of v and r.
21
Let s(h) = 4*h**2 + 39*h - 138. Let j be s(4). What is the greatest common divisor of j and 2624?
82
Suppose -78 - 22 = -5*d. Let z be 40/16 + 13/(-2). Let s(q) = q**3 + 3*q**2 - 3*q + 8. Let f be s(z). Calculate the highest common factor of d and f.
4
Let i be (-234)/(-3) + (6 - 1). Let t = 102 - i. Suppose -77 = -3*f - 20. What is the greatest common divisor of f and t?
19
Suppose 255*d - 1415 - 1317 - 1858 = 0. Let o = 2 + -2. Suppose 2*f + j - 143 = 0, o = j - 4*j - 3. Calculate the greatest common divisor of d and f.
18
Let f be 214/(-8) - 6/24. Let l = -20 - f. Suppose -4*k + 65 = 5*j, l*j - 2*j = -5*k + 70. What is the greatest common divisor of 72 and j?
9
Let j(g) = 2*g**3 + 7*g**2 - 12*g + 13. Let f be j(-7). Let c = f - -466. Calculate the greatest common factor of c and 10.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 71*d. What is the highest common factor of d and 90?
30
Suppose 0 = -4*s + 2*s - 4, -2*h - 5*s = -1930. Let y be 11/(231/(-6)) + h/14. Calculate the greatest common divisor of y and 115.
23
Let j(v) = -42*v**3 - v**2. Let o be j(-1). Suppose 5*b = x + 3282, -5*x + 253 = -b + 919. Calculate the greatest common factor of b and o.
41
Suppose 4*l + 11*i + 44122 = 112930, 0 = -3*l - 2*i + 51631. Calculate the greatest common factor of l and 7.
7
Suppose -2*k + 191 = -139. Let v = -52076 + 52175. Calculate the highest common divisor of k and v.
33
Let m = 354 + -310. Let s(k) = k**2 - 20*k - 64. Let g be s(m). What is the greatest common factor of g and 31?
31
Let p be 2/4*(19 - 19). Suppose 4*l - l - 240 = p. Suppose -4*m + 33 + 7 = 0. Calculate the highest common divisor of m and l.
10
Suppose -2*v + 3*l - 4901 = -17672, -12768 = -2*v + 4*l. Calculate the greatest common factor of v and 360.
90
Suppose -185 = -2*z + 3*j, -11*j + 7*j - 278 = -3*z. Calculate the greatest common divisor of z and 1081.
47
Let y(x) = -50*x**3 - x**2 - 44*x - 95. Let w be y(-3). What is the greatest common factor of 78 and w?
26
Let d = -94 - -416. Suppose 2*f = -y - 0*y + 22, 0 = -2*y - 2*f + 36. What is the highest common factor of d and y?
14
Let k be 18/2*210/9. Let u(l) be the first derivative of -10*l**2 - 118*l + 56. Let q be u(-8). Calculate the highest common factor of q and k.
42
Suppose 4*w - 19388 = -2*q + 6*q, -3*q - 19392 = -4*w. What is the highest common divisor of 147 and w?
147
Suppose 5*v = 5*s - 385, -7*s = -12*s + v + 405. Suppose 12 = -5*r + s. Calculate the greatest common factor of 70 and r.
14
Suppose -25*c + 292 = -27*c. Let f = 43 - c. Calculate the greatest common factor of 27 and f.
27
Suppose 2*s - 4*b = -24, 0 = -s - 5*b - 29 - 11. Let d be (-26)/(-10) + (-8)/s. Calculate the greatest common factor of 33 and d.
3
Let j(a) = a**3 - 10*a**2 - a + 11. Let k be j(10). Let v be (-2)/(3 - k) + (-189)/(-7). What is the greatest common divisor of 117 and v?
13
Suppose 5*z = -5*z + 1300. Let p = -24 + 41. Let h = -7 + p. What is the highest common factor of z and h?
10
Let o(f) = -139*f - 780. Let n be o(-6). What is the highest common divisor of n and 576?
18
Let a(t) = -2*t**2 + 24*t - 7. Let p be a(11). Let v be (-2 + 8/(-6))/(p/(-45)). Calculate the highest common factor of v and 50.
10
Suppose 0 = 4*l - 216 - 356. Let f = 666 - 653. What is the greatest common factor of f and l?
13
Let c = 25 + -26. Let r be (-4 - c)/(-2*6/272). Let q = 16 + -12. Calculate the highest common factor of q and r.
4
Suppose 5 + 11 = c. Suppose -l + 293 = 3*v - 8, 0 = l - 5*v - 309. What is the greatest common divisor of l and c?
16
Let y = -281 + -641. Let m = y + 1725. Calculate the highest common divisor of m and 11.
11
Suppose 16*q - 180502 = 105587 - 62985. What is the greatest common divisor of q and 166?
166
Let s be 1*(-1 + 1*16). Let d = 1473 + -798. Suppose d = 58*v - 49*v. Calculate the highest common divisor of s and v.
15
Let j(i) = -10*i + 1423 - 4*i - 1449 + i. Let k be j(-3). Suppose 3*r + 2*r = 65. What is the highest common factor of k and r?
13
Suppose -61*h = -21*h - 231240. Calculate the highest common factor of h and 141.
141
Let i = 86 - 86. Suppose -23*t + 33*t - 110 = i. Let l(j) = 2*j**2 - 21*j + 59. Let g be l(t). What is the greatest common factor of g and 10?
10
Let f(g) = -g**3 - 8*g**2 - 12*g. Let i be f(-6). Suppose i = -q + 33 - 166. Let n be q/(-5) + (-24)/(-60). What is the greatest common divisor of n and 297?
27
Let k = -431 + 436. Suppose 3*f = -l - 2*f + 237, -k*l + 1243 = -4*f. What is the highest common divisor of l and 76?
19
Suppose -132*s = -17*s - 149040. Calculate the highest common divisor of 243 and s.
81
Suppose -3*a = -2*n + 119 - 14, 275 = 5*n - 5*a. Let o = n + -30. Calculate the greatest common divisor of 285 and o.
15
Let r(c) = 2*c**2 - 23*c - 1472. Let q be r(-32). Calculate the highest common divisor of 82 and q.
82
Let m = 239 + -103. Let k(c) = -75*c + 983. Let u be k(13). Calculate the highest common factor of u and m.
8
Let h(m) = 21*m + 1141. Let p be h(-33). Calculate the greatest common divisor of 352 and p.
32
Let k = -1169 - -1189. Suppose 3*q + 4 - 28 = 0. Calculate the greatest common factor of q and k.
4
Let v be (920/(-30))/(-23)*(-27)/(-2). Calculate the greatest common factor of 954 and v.
18
Let w = -847 - -851. Suppose -w*j + 348 = -3*r, -r + 189 = 5*j - 265. What is the greatest common divisor of 25 and j?
5
Let d be (-112972782)/(-2366) + (-6)/14. What is the highest common divisor of 276 and d?
276
Let b = -2188 + 5686. Calculate the greatest common divisor of b and 66.
66
Suppose 3*y - 11 = -5. Let r be y/(-12) + 169/6. Let v = 2390 - 2362. Calculate the greatest common divisor of v and r.
28
Suppose 2*p + 88 = 4*u, -2*u + 0*p - 3*p + 44 = 0. Let a = -1 + 3. What is the highest common divisor of u and a?
2
Suppose -4350 = 5*l - 4715. What is the highest common factor of l and 6?
1
Let x(h) = h**2 - 9*h + 48. Let c be x(3). Suppose 3*v - 4*v + 25 = 0. Let o = 45 - v. What is the highest common factor of c and o?
10
Let h = 24 - 18. Let q(s) = h - 49*s + 3 + 47*s. Let y be q(-7). What is the greatest common factor of y and 23?
23
Let a be (186*(-8)/(-48))/((-1)/(-1)). What is the highest common factor of a and 1333?
31
Suppose 16*n = 7*n - 36. Let j be ((-48)/n)/(4/6) - 0. Suppose j*c = 7*c + 121. What is the greatest common factor of 11 and c?
11
Suppose -4*x + 540 = -228. Suppose 6*l = -4*m + 2*l + x, 2*m - 111 = l. Let z = 118 - m. What is the greatest common factor of 13 and z?
13
Let u = 7 + -4. Suppose 4*n = 3*n + 2*v + 10, -5*n + 37 = 3*v. Let b be (-1096)/(-92) + n/92. Calculate the greatest common factor of u and b.
3
Suppose 12*p + p + 9*p - 28820 = 0. Calculate the highest common factor of p and 55.
5
Suppose p + 2*v - 19 = 0, -4*v + 2 = p - 15. Let j be ((-18504)/p)/(-8) + (-1)/7. What is the greatest common factor of j and 55?
55
Let h(n) = 23 - n**2 + 19*n + 13*n**2 - 5*n**2 - 6*n**2. Let f be h(-16). Let w be f/(-5) + -2 - 24/(-1). Calculate the highest common divisor of w and 18.
9
Let w(q) = -110*q - 5506. Let m be w(-74). Calculate the highest common factor of 30 and m.
6
Let k(z) = 3*z**2 - 13*z - 8. Suppose q - 6 = -7*o + 10*o, q + 2*o - 6 = 0. Let u be k(q). Calculate the highest common divisor of 99 and u.
11
Let k = 54 + -30. Suppose -2*n = k + 30. Let u = -5 - n. What is the highest common factor of u and 33?
11
Let h = 14 + 5. Let p(i) = 190*i**2 - 3*i - 3. Suppose -2*w + 2 = 2*n, 3 = 3*n - 3. Let s be p(w). Calculate the highest common divisor of h and s.
19
Suppose -33*f + 174*f = 55*f + 9460. Suppose 37 = z + m + 12, 91 = 4*z + m. Calculate the greatest common factor of f and z.
22
Let z = -154 + 168. Let a be 1*178/z - 2/(-7). Suppose 90 + 27 = 3*t. Calculate the greatest common divisor of t and a.
13
Let u(g) = -281*g + 2399. Let v be u(7). Let f(h) = h**2 - 6*h + 8. Let r be f(10). Calculate the greatest common divisor of r and v.
48
Suppose 130*j = 127*j - 528. Let z = j + 183. Calculate the highest common divisor of 189 and z.
7
Let l = -14120 - -14675. What is the greatest common factor of 480 and l?
15
Suppose 40*z - 1732 = -3*a + 38*z, -2*z = 8. What is the greatest common factor of 725 and a?
145
Let i(w) = -91*w - 1244. Let r be i(-14). Let h = 346 + -226. What is the highest common divisor of r and h?
30
Suppose d - 229 = 4*r, -4*d + 20*r = 24*r - 896. Calculate the greatest common divisor of 1065 and d.
15
Suppose -21*g = -8082 - 46455. Calculate the highest common factor of g and 212.
53
Let t(u) = -u**3 + 8*u**2 - u + 5. Let a be t(8). Let c be (-91)/(a/(-2 - -5)) - 1. Let x be (-9)/(-6)*2*30/9. Calculate the greatest common divisor of c and x.
10
Let u = -37 + 70. Let p be -1*(110/(-15))/11 - (-50)/6. What is the highest common factor of p and u?
3
Let c be -33 - 454 - (7 + 1). Let a = -413 - c. Calculate the highest common divisor of 738 and a.
82
Let h(z) be the second derivative of 0 + 1/20*z**5 - 3*z**2 - 3*z**3 + 13/12*z**4 + 7*z. Let w be h(-14). Calculate the greatest common divisor of 10 and w.
10
Suppose -t = -5*s - 81, -5*t + s + 296 = -61. Let i = t - 36. Let r = -277 - -291. What is the highest common divisor of r and i?
7
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
ny minutes are there between 1:42 AM and 1:32 PM?
710
What is 647 minutes before 2:01 PM?
3:14 AM
What is 298 minutes after 11:26 PM?
4:24 AM
What is 223 minutes before 12:46 AM?
9:03 PM
What is 107 minutes before 5:53 AM?
4:06 AM
What is 599 minutes before 6:19 PM?
8:20 AM
What is 647 minutes after 3:11 AM?
1:58 PM
How many minutes are there between 12:13 AM and 7:14 AM?
421
How many minutes are there between 8:14 AM and 11:05 AM?
171
What is 328 minutes after 3:52 AM?
9:20 AM
How many minutes are there between 4:24 PM and 6:48 PM?
144
What is 97 minutes after 4:58 AM?
6:35 AM
How many minutes are there between 4:09 PM and 12:21 AM?
492
How many minutes are there between 11:33 PM and 2:47 AM?
194
How many minutes are there between 4:53 AM and 6:09 AM?
76
What is 488 minutes before 2:56 PM?
6:48 AM
What is 251 minutes before 7:53 AM?
3:42 AM
How many minutes are there between 12:43 PM and 4:52 PM?
249
What is 428 minutes before 3:31 PM?
8:23 AM
What is 135 minutes before 5:50 PM?
3:35 PM
How many minutes are there between 8:22 PM and 9:13 PM?
51
What is 416 minutes before 11:50 AM?
4:54 AM
What is 480 minutes before 6:14 AM?
10:14 PM
What is 631 minutes before 4:11 PM?
5:40 AM
How many minutes are there between 7:33 PM and 3:21 AM?
468
What is 89 minutes before 4:42 AM?
3:13 AM
What is 568 minutes before 11:47 AM?
2:19 AM
How many minutes are there between 6:03 AM and 2:48 PM?
525
How many minutes are there between 11:58 AM and 5:13 PM?
315
How many minutes are there between 11:15 AM and 6:24 PM?
429
What is 387 minutes before 7:27 PM?
1:00 PM
What is 463 minutes before 6:28 AM?
10:45 PM
What is 337 minutes after 8:56 PM?
2:33 AM
How many minutes are there between 8:36 AM and 9:11 AM?
35
How many minutes are there between 4:02 PM and 12:18 AM?
496
What is 445 minutes before 9:14 PM?
1:49 PM
What is 152 minutes before 1:53 PM?
11:21 AM
What is 678 minutes after 1:37 AM?
12:55 PM
How many minutes are there between 3:55 AM and 4:07 AM?
12
What is 505 minutes before 12:45 PM?
4:20 AM
How many minutes are there between 4:42 AM and 2:25 PM?
583
How many minutes are there between 11:23 PM and 2:24 AM?
181
How many minutes are there between 11:39 AM and 11:18 PM?
699
What is 667 minutes before 3:25 AM?
4:18 PM
How many minutes are there between 7:47 AM and 5:03 PM?
556
What is 102 minutes before 5:25 PM?
3:43 PM
What is 44 minutes after 10:31 PM?
11:15 PM
How many minutes are there between 11:08 PM and 1:09 AM?
121
What is 430 minutes before 8:58 AM?
1:48 AM
What is 223 minutes before 9:58 AM?
6:15 AM
How many minutes are there between 10:06 AM and 6:58 PM?
532
How many minutes are there between 4:08 AM and 1:56 PM?
588
What is 652 minutes after 8:34 PM?
7:26 AM
What is 359 minutes after 1:51 PM?
7:50 PM
How many minutes are there between 11:23 AM and 9:40 PM?
617
What is 458 minutes after 7:06 AM?
2:44 PM
What is 243 minutes before 3:12 PM?
11:09 AM
How many minutes are there between 7:51 AM and 11:54 AM?
243
What is 581 minutes before 1:32 PM?
3:51 AM
What is 408 minutes before 2:43 AM?
7:55 PM
How many minutes are there between 8:07 AM and 1:49 PM?
342
What is 251 minutes before 7:28 PM?
3:17 PM
How many minutes are there between 11:27 AM and 2:20 PM?
173
How many minutes are there between 8:58 AM and 4:45 PM?
467
How many minutes are there between 5:10 AM and 12:44 PM?
454
How many minutes are there between 5:57 AM and 4:36 PM?
639
How many minutes are there between 1:05 AM and 8:59 AM?
474
How many minutes are there between 10:52 PM and 9:52 AM?
660
What is 158 minutes after 8:39 AM?
11:17 AM
What is 402 minutes after 4:20 PM?
11:02 PM
What is 117 minutes after 8:43 PM?
10:40 PM
How many minutes are there between 9:44 AM and 2:47 PM?
303
How many minutes are there between 11:37 PM and 9:55 AM?
618
How many minutes are there between 8:30 AM and 10:33 AM?
123
How many minutes are there between 5:31 PM and 10:46 PM?
315
What is 110 minutes before 7:19 PM?
5:29 PM
What is 688 minutes after 6:35 AM?
6:03 PM
What is 246 minutes before 6:56 AM?
2:50 AM
How many minutes are there between 7:29 PM and 12:06 AM?
277
How many minutes are there between 10:50 AM and 4:32 PM?
342
How many minutes are there between 2:49 PM and 2:59 PM?
10
What is 428 minutes after 8:52 PM?
4:00 AM
What is 553 minutes after 7:58 PM?
5:11 AM
How many minutes are there between 2:47 AM and 7:33 AM?
286
How many minutes are there between 8:39 AM and 8:19 PM?
700
What is 491 minutes after 8:54 AM?
5:05 PM
How many minutes are there between 9:53 AM and 3:30 PM?
337
How many minutes are there between 7:07 PM and 3:47 AM?
520
What is 251 minutes after 9:07 AM?
1:18 PM
How many minutes are there between 5:40 AM and 5:13 PM?
693
What is 636 minutes before 6:42 AM?
8:06 PM
How many minutes are there between 11:11 AM and 4:04 PM?
293
What is 625 minutes before 6:56 PM?
8:31 AM
How many minutes are there between 11:07 PM and 7:44 AM?
517
What is 170 minutes after 3:59 PM?
6:49 PM
How many minutes are there between 9:11 AM and 4:14 PM?
423
What is 123 minutes before 5:23 PM?
3:20 PM
How many minutes are there between 5:06 PM and 9:01 PM?
235
How many minutes are there between 10:26 PM and 9:42 AM?
676
How many minutes are there between 4:00 AM and 3:54 PM?
714
What is 202 minutes before 9:12 PM?
5:50 PM
What is 195 minutes after 8:48 AM?
12:03 PM
How many minutes are there between 7:46 PM and 11:56 PM?
250
How many minutes are there between 9:56 PM and 10:02 PM?
6
What is 19 minutes after 9:29 PM?
9:48 PM
How many minutes are there between 8:25 AM and 11:16 AM?
171
How many minutes are there between 3:09 AM and 11:10 AM?
481
What is 672 minutes before 10:38 PM?
11:26 AM
What is 310 minutes before 5:32 PM?
12:22 PM
What is 609 minutes after 5:02 AM?
3:11 PM
How many minutes are there between 12:20 AM and 9:56 AM?
576
What is 310 minutes after 4:55 AM?
10:05 AM
How many minutes are there between 3:53 AM and 8:17 AM?
264
How many minutes are there between 6:27 PM and 2:52 AM?
505
How many minutes are there between 6:45 PM and 9:56 PM?
191
What is 623 minutes after 10:02 AM?
8:25 PM
How many minutes are there between 8:24 PM and 6:47 AM?
623
How many minutes are there between 8:00 AM and 3:12 PM?
432
What is 152 minutes before 6:04 PM?
3:32 PM
What is 609 minutes after 7:36 AM?
5:45 PM
How many minutes are there between 3:44 AM and 6:31 AM?
167
How many minutes are there between 9:27 AM and 2:10 PM?
283
What is 508 minutes after 6:51 AM?
3:19 PM
How many minutes are there between 3:52 PM and 3:39 AM?
707
What is 543 minutes before 12:27 PM?
3:24 AM
How many minutes are there between 6:23 PM and 10:38 PM?
255
What is 10 minutes after 3:21 AM?
3:31 AM
How many minutes are there between 7:14 AM and 5:57 PM?
643
How many minutes are there between 5:23 PM and 7:56 PM?
153
What is 159 minutes after 3:33 PM?
6:12 PM
How many minutes are there between 12:06 AM and 7:39 AM?
453
How many minutes are there between 8:57 PM and 11:29 PM?
152
What is 647 minutes before 11:38 PM?
12:51 PM
How many minutes are there between 11:12 PM and 4:33 AM?
321
What is 485 minutes before 6:34 PM?
10:29 AM
What is 453 minutes after 10:13 PM?
5:46 AM
What is 596 minutes before 5:43 AM?
7:47 PM
How many minutes are there between 4:35 PM and 11:03 PM?
388
How many minutes are there between 3:54 PM and 10:07 PM?
373
How many minutes are there between 7:34 AM and 9:46 AM?
132
What is 160 minutes before 3:07 PM?
12:27 PM
How many minutes are there between 3:51 PM and 2:27 AM?
636
How many minutes are there between 3:53 PM and 2:55 AM?
662
What is 353 minutes before 12:13 AM?
6:20 PM
How many minutes are there between 1:50 AM and 10:00 AM?
490
What is 103 minutes after 12:46 AM?
2:29 AM
How many minutes are there between 2:21 PM and 2:57 PM?
36
What is 372 minutes after 9:57 AM?
4:09 PM
What is 320 minutes after 4:47 AM?
10:07 AM
What is 97 minutes before 3:39 PM?
2:02 PM
How many minutes are there between 3:33 AM and 5:10 AM?
97
What is 595 minutes before 4:59 PM?
7:04 AM
How many minutes are there between 3:19 PM and 6:46 PM?
207
How many minutes are there between 12:14 AM and 6:52 AM?
398
How many minutes are there between 8:02 AM and 5:09 PM?
547
What is 54 minutes after 11:39 PM?
12:33 AM
How many minutes are there between
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -13.2. Let d = -103.93 + q. Let u = 0.07 - d. What is the closest to u in 4, 6/7, 2?
6/7
Let r = 7 + -10. Let k = 3.8 + -1.9. Let n = k - 2. What is the nearest to n in 5, -1/6, r?
-1/6
Let j = 0.2 - 0.1. Let r = -0.7 + 0.2. Which is the closest to 0? (a) j (b) r (c) -1/6
a
Let o = 67/236 - 2/59. What is the nearest to 17 in 0, -2/11, o?
o
Let t be 3 + (-19)/3 + (7 - 4). Which is the nearest to 2/3? (a) t (b) 1 (c) -2
b
Let o(v) = -v - 3. Let f be o(0). Which is the nearest to f? (a) -10 (b) -4 (c) -0.5
b
Let u = -23 + 14. Let t = u + 6. Which is the nearest to -1? (a) -1 (b) t (c) 4
a
Let d = 1 - 2. Let l = -9.8 + 9.9. What is the nearest to d in l, -2/11, 0.4?
-2/11
Let l = 1 + -2/3. Let y = 4.7 - 5. Let i = -0.1 + y. What is the nearest to l in i, -2, -4?
i
Let x be (-15)/(-3) - 12 - -3. Which is the nearest to -9? (a) x (b) -1 (c) -0.3
a
Let u be 4/(-32)*2*-1. Let k be (16/(-8))/((-10)/(-2)). What is the nearest to u in -2/3, -3, k?
k
Suppose 3 = 3*j - 4*d, -12 = 4*j + 4*d + 12. Which is the closest to -0.1? (a) j (b) -2/13 (c) -1
b
Let k = 1 + -2.4. Which is the nearest to -0.1? (a) -1/2 (b) k (c) -4
a
Let d(s) = s - 1. Let q be d(-4). Let z = 9 + q. Let h = -2.4 + 0.4. Which is the nearest to -0.2? (a) h (b) z (c) 2
a
Let t = -24 + 22. What is the closest to 0.1 in -5, t, 2/13?
2/13
Let o = 0.4 + 0.1. Let p be (-3 + 1)/(4/10). Let y = -70/3 - -24. What is the closest to y in -1/4, p, o?
o
Let f = 75.9 + -76. What is the nearest to f in -1/4, -5, -4?
-1/4
Let g = -4687/12 - -393. Let k = 8/3 - g. Which is the closest to -0.1? (a) -1 (b) 3 (c) k
c
Suppose -4*i = -i - 15. Let r be ((-10)/15 - (-2)/4)/1. Which is the nearest to -0.1? (a) 4 (b) r (c) i
b
Let j = 1.7 + -8.7. Let b = 6.5 + j. Let a = 0 - 0. What is the closest to a in b, -4, -0.2?
-0.2
Let o = 14.7 + -15. What is the nearest to 0.1 in -5, o, 2?
o
Let q be 4 - (-122)/(-36) - (-2)/(-18). Let d = -0.8 - -5.8. Let w = -3943/15 + 263. What is the closest to 2 in q, d, w?
q
Suppose -2*a - 6 = -2*c, -3 = c - a + 2*a. Let n = -12 - -12. What is the closest to c in -0.2, -2/7, n?
n
Let w = -1.53 - -1.83. Let s = -3.02 - -0.02. Which is the closest to 0? (a) w (b) s (c) 1/6
c
Suppose -2*n = 3*n - 10. Let x = -10 + 7. Let g = 56/3 + -19. Which is the nearest to g? (a) 0.1 (b) x (c) n
a
Let b = 12.8 - 13. Let q = -23 - -23.1. What is the nearest to 1 in q, b, 2?
q
Let f = 9 + -8. Which is the nearest to -2/3? (a) f (b) -4 (c) -2/5
c
Let j = 5.9 + -6. Let s = 424/1989 - -2/221. Suppose 7*c = 2*c - 10. What is the nearest to s in c, -1, j?
j
Let b = 289/7 - 41. Let s = 4 - 5. What is the closest to s in b, 3, 1/6?
1/6
Let o = 9.55 + 2.75. Let b = 12 - o. What is the nearest to 0 in b, 0.5, -0.1?
-0.1
Let q = 2 - -2. Let m be ((-18)/8)/((-18)/96). Let w be -2 - 0 - (-28)/m. What is the nearest to 0.2 in -0.5, w, q?
w
Let k = 9 + -4. Let w = -148 + 147. What is the closest to -1 in w, -0.1, k?
w
Let h = -2 - -4. Let m = -2 + h. What is the closest to 2 in -2, m, -2/11?
m
Let y = 2.594 + 0.436. Let l = -0.03 + y. What is the nearest to -1/4 in l, -4, -5?
l
Let u = 2 + -1.9. Let k = -1.6 + 2. Let q = k - 0.4. What is the nearest to q in -0.2, 0.4, u?
u
Let b = 10 + -8. Let n = 0.6 - 0.1. What is the nearest to b in 3, n, -0.4?
3
Let j = -3 - 0. Let t = -0.05 + -9.95. Let l = 12 + t. What is the closest to 2/5 in l, 2/11, j?
2/11
Let i = 17 + -4. Let r = 8 - i. Let z = 0.09 + -0.19. What is the closest to z in 4, r, -2?
-2
Let t(r) = -r + 4. Let q be t(0). Let s be (-24)/27*3/q. Which is the nearest to -0.1? (a) -2 (b) -3 (c) s
c
Let l = 436.98 + -431. Let t = 0.02 + l. Which is the closest to -2/7? (a) -0.2 (b) t (c) -5
a
Let q = 0.08 + -0.09. Let n = q + 9.01. Let l = 10 - n. What is the nearest to 0 in 0, l, -0.2?
0
Let l = -168 + 169. What is the closest to -1 in 0.3, -2/15, l?
-2/15
Let u = 6.1 + -6. Let o be (((-1)/2)/1)/(-4). Which is the nearest to o? (a) 3/2 (b) u (c) -3
b
Let m = 24 + -22. What is the nearest to -0.2 in m, 0, -0.5?
0
Let q = 1.5 - 1. Let p = -3 - -2.5. Let o = 363/4 + -91. Which is the closest to o? (a) q (b) p (c) 1/10
b
Let l = -0.03 + 0. Let o = 0.0598 - -2.9702. Let v = l + o. What is the nearest to -2 in v, -2, -3?
-2
Let d(x) = x**3 + 3*x**2 - 4*x + 3. Let f be d(-4). Suppose -3*a - f = -12. Let p be (a/10)/(6/15). What is the closest to -1 in 0.4, -4, p?
0.4
Let i be (3/(-22))/(3/(-4)). Let n = 25 - 177/7. Let h(t) = -t - 4. Let q be h(-5). Which is the closest to q? (a) i (b) n (c) 3
a
Let m = 0.07 - -0.13. Let h = m + 0.3. Let v = 0.1 + -1.1. What is the closest to v in -1, h, -1/5?
-1
Let d = -43 + 212/5. What is the closest to 2/9 in d, -9, 0.5?
0.5
Let a = 3.97 - -0.03. Let o be (-5)/(10/(-12)) + -1. Let r = -2/15 - 4/15. What is the closest to 0.1 in o, r, a?
r
Let n = -0.8 + 0.5. Which is the nearest to n? (a) 4 (b) -3/4 (c) -2
b
Suppose -3*t = v - 7, -5*t + 3*t + 3*v + 23 = 0. What is the closest to 0.1 in 0, t, 1?
0
Let x(s) = s**2 + 7*s + 4. Let p be (1/(-2))/((-1)/(-14)). Let i be x(p). Suppose -r - r = -i. Which is the nearest to 1? (a) r (b) 3/2 (c) -2
b
Let h be (1/(-2))/(((-42)/9)/7). Which is the closest to 0? (a) -0.5 (b) -4 (c) h
a
Let s be (4/8)/(10/(-12)). Let g be ((-4)/(-3))/(6/9). Let q be g/(-2 + 1*4). Which is the closest to q? (a) s (b) 0.3 (c) -1
b
Let x = -1 + -4. Let f = 2/11 - 17/33. What is the nearest to -1 in x, 2, f?
f
Let h be (3 - 3) + 142/(-6). Let g be (43/2 - 0) + 2. Let u = h + g. Which is the closest to -1? (a) 0.1 (b) u (c) 1/5
b
Suppose 0 = b - 3*p - 2*p - 16, -p - 1 = 2*b. Suppose -r + b + 3 = -4*l, 2*r - 3*l - 3 = 0. Let m be -1 - 0 - 10/(-14). What is the closest to r in 1, m, 0.1?
0.1
Let s = -0.05 - -5.05. Let b = 8 - s. Let k = 17/77 + -4/11. What is the nearest to 2/7 in k, -2, b?
k
Let l = 1/9 + 31/45. What is the closest to 1 in -3, l, -0.8?
l
Let h = 155 + -158. What is the nearest to 0 in -5, -6, h?
h
Let w = -8 + -12. Let m be (-5)/(w/8) - 0. Which is the nearest to -3? (a) -3/8 (b) m (c) 1/8
a
Let o be (1 + -3)/(14/1676). Let g = o - -239. What is the closest to -0.2 in 0, g, 3?
0
Suppose -1 + 4 = -v. Let p(w) = 4*w. Let r be p(3). Let n be -2*(r/v)/2. Which is the closest to -1? (a) n (b) -0.4 (c) -0.5
c
Let x = 7.1 + -7. Let g = 4 + -3.6. Which is the nearest to x? (a) g (b) -0.5 (c) -0.4
a
Suppose -2*h + 2 = -0. Let q be (4/3)/1*6/40. What is the closest to 0.2 in 2, q, h?
q
Let t = -6 - 6. Let p = t - -10. Which is the closest to p? (a) -2 (b) 3/2 (c) -1
a
Let j = -515/11 - -47. Let q = 14 + -22. Let k = q + 9. Which is the closest to -1? (a) j (b) 3 (c) k
a
Let b be 5/(-26)*-4*1. Let d = 33/26 - b. What is the closest to d in -2/5, -2, -1?
-2/5
Let v be (4/(-30))/((-2)/3). Let i = -2.02 - -0.02. Let p = 12 + -11.8. Which is the nearest to p? (a) 4 (b) v (c) i
b
Let q = 1 - 4. Let k(v) = -v**2 + 6*v - 1. Let y be k(6). Which is the closest to 10? (a) q (b) y (c) 4
c
Let h be -4*-2*(-5)/(-300). Which is the nearest to 2/5? (a) 5 (b) 0 (c) h
c
Let q = 2.92 + -3. Which is the nearest to 0.1? (a) 5 (b) -5/4 (c) q
c
Let k = -0.2 + -0.1. Let f = 24/11 + -190/77. Let n = -1.4 + 0.4. Which is the nearest to 1? (a) f (b) n (c) k
a
Let p = -0.6 + 5.6. Let d = 3 + -4. What is the closest to d in p, -3, 2/9?
2/9
Let w = -0.34 + -0.06. Which is the closest to 1? (a) 1 (b) 3/2 (c) w
a
Let m = -2 - -1.9. Let h = 1 + -2. Let i(q) = 5*q - 31. Let t be i(7). Which is the closest to h? (a) t (b) 5 (c) m
c
Let g = 16 - 16.09. Let u = -0.11 + g. Let x = 1.3 + -0.3. Which is the nearest to -2? (a) x (b) 0 (c) u
c
Let w = 0.3 - 0. Which is the nearest to 5/8? (a) -2 (b) 4 (c) w
c
Let x = -9 + 8. Let m be (1 - x) + (-16)/6. Let t = -1 - -1.4. What is the closest to m in 5/2, t, 1?
t
Let w be ((-24)/(-13) - -1) + 2 + -5. What is the nearest to -2/5 in -0.2, 1/4, w?
-0.2
Let b be (-2)/(-4) - (3 + -3). What is the closest to 1 in -4, b, 0?
b
Suppose -a + k + 2 = 0, -3*k - 10 + 0 = -4*a. Suppose 5*f - 8 = f. Let z be (-3)/(f + -5) - -4. What is the closest to 1 in z, -0.1, a?
-0.1
Let z = -2.5 + 3. Let l = -0.01 - -0.11. Which is the closest to l? (a) z (b) 1/5 (c) 1/4
b
Let a = 48 + 18. Let j be a/36 - (0 + 2).
|
{
"pile_set_name": "DM Mathematics"
}
|
10, what is -5 - 110?
-115
In base 15, what is -3ee - 4?
-403
In base 3, what is -211 + 210200?
202212
In base 14, what is 5 - -a78?
a7d
In base 10, what is 24 - 40?
-16
In base 16, what is -4 - -7?
3
In base 8, what is -25 + 2?
-23
In base 9, what is -2007 - 1?
-2008
In base 7, what is -12 + -3?
-15
In base 3, what is 22 + -10110?
-10011
In base 16, what is -1 + -14?
-15
In base 16, what is 38e + 1?
38f
In base 11, what is -5a9 - 1?
-5aa
In base 6, what is -134 - 22?
-200
In base 15, what is -2 + -1e?
-21
In base 14, what is -24 - 1c?
-42
In base 3, what is -10 + -2?
-12
In base 3, what is 2110102 + 11?
2110120
In base 2, what is 110110111 - -100101?
111011100
In base 14, what is 1 - a5c?
-a5b
In base 6, what is -32 + -14?
-50
In base 2, what is 11 + -11101011?
-11101000
In base 4, what is 12223120 + 10?
12223130
In base 4, what is 133231 + 10?
133301
In base 12, what is -1032 + -2?
-1034
In base 14, what is -4 - 591?
-595
In base 4, what is 30 + 31?
121
In base 14, what is 94 + 3?
97
In base 5, what is 11420 - -3?
11423
In base 10, what is 6 - 95?
-89
In base 7, what is 14 + 134?
151
In base 11, what is 7218 - -5?
7222
In base 7, what is 1 - 21131?
-21130
In base 4, what is 312 - -10?
322
In base 6, what is -12 + 13102?
13050
In base 3, what is -11 + 22220?
22202
In base 12, what is -2 + -57?
-59
In base 7, what is 52 - -30?
112
In base 3, what is -2011 - 202?
-2220
In base 2, what is -100 - 1000010?
-1000110
In base 15, what is 3 + b4?
b7
In base 5, what is -3 + -243?
-301
In base 9, what is -38 - -20?
-18
In base 5, what is -13 + -3014?
-3032
In base 6, what is -5 - -122?
113
In base 8, what is -4 + 0?
-4
In base 12, what is -5 + -116?
-11b
In base 12, what is -85a9 - -5?
-85a4
In base 5, what is 124134 - 4?
124130
In base 13, what is b - a?
1
In base 12, what is -5 + 258?
253
In base 14, what is -59 + 5?
-54
In base 16, what is -f + -231?
-240
In base 11, what is -101 - -3?
-a9
In base 10, what is -3 + 2741?
2738
In base 12, what is 39 + 1?
3a
In base 15, what is -2 - -5?
3
In base 5, what is -44414 + 2?
-44412
In base 2, what is -11001101 - 10?
-11001111
In base 14, what is -4 - -72?
6c
In base 5, what is -2 - 4221?
-4223
In base 3, what is -1101 - 11?
-1112
In base 11, what is -227 + 1?
-226
In base 16, what is -2c - 3?
-2f
In base 15, what is 5 + -2c?
-27
In base 16, what is -c3 - -2?
-c1
In base 6, what is -5 + 5234?
5225
In base 2, what is 100 + -11000?
-10100
In base 5, what is -23340 - -4?
-23331
In base 5, what is 24 - -103?
132
In base 6, what is -102 - 42?
-144
In base 11, what is 16 - -4a8?
513
In base 5, what is 311 - 10?
301
In base 5, what is 3 + 2220?
2223
In base 8, what is -76342 - -5?
-76335
In base 10, what is -5 + 402?
397
In base 9, what is 10 + 7?
17
In base 11, what is -2 - 215a?
-2161
In base 12, what is -14 - -214?
200
In base 13, what is 164 + 5?
169
In base 3, what is -1122122 + 0?
-1122122
In base 10, what is 45 - 19?
26
In base 7, what is -40032 - -4?
-40025
In base 7, what is -2346 - 5?
-2354
In base 15, what is 4 + -36?
-32
In base 8, what is -162 + 0?
-162
In base 7, what is 5 + -36?
-31
In base 11, what is -42 + 0?
-42
In base 7, what is 1565 + -1?
1564
In base 12, what is -a689 - 2?
-a68b
In base 16, what is -e - -23d?
22f
In base 6, what is -241 + -32?
-313
In base 2, what is -101001 - -1000011?
11010
In base 2, what is -1111 - -1111000100?
1110110101
In base 3, what is -11 + 2011?
2000
In base 6, what is -114 + -41?
-155
In base 5, what is 20 - -3?
23
In base 13, what is cb4 + -1?
cb3
In base 2, what is 11111001011 + -10?
11111001001
In base 12, what is -14 + -24?
-38
In base 12, what is 1 + -4?
-3
In base 9, what is 162 + -10?
152
In base 9, what is -4 + -25?
-30
In base 9, what is 1 + -246?
-245
In base 8, what is -346 - 43?
-411
In base 13, what is -168 + -4?
-16c
In base 11, what is -381 + 14?
-368
In base 14, what is -6 + c1?
b9
In base 10, what is 118 - 92?
26
In base 7, what is -42152 - 2?
-42154
In base 9, what is -12802 + 5?
-12786
In base 2, what is 110100001 + 1?
110100010
In base 3, what is -20022 + -1222?
-22021
In base 11, what is -46 + 0?
-46
In base 12, what is -223 - 2?
-225
In base 4, what is 1 - 222130?
-222123
In base 15, what is -10a + 1?
-109
In base 11, what is -27 + 1?
-26
In base 3, what is 21 + 20012?
20110
In base 2, what is -1001001 - -1?
-1001000
In base 2, what is -1110011111 - -101?
-1110011010
In base 14, what is -3 + 11b?
118
In base 2, what is 10100100 - 10?
10100010
In base 5, what is 212 - 10?
202
In base 11, what is 1 - -179?
17a
In base 4, what is 12 - -2211?
2223
In base 9, what is 170 - 5?
164
In base 14, what is 12 + -16c?
-15a
In base 5, what is -2 - 40324?
-40331
In base 11, what is 0 + -1947?
-1947
In base 6, what is -2 + -51?
-53
In base 9, what is 51 - -14?
65
In base 7, what is 5 - 2?
3
In base 6, what is 12 - 1204?
-1152
In base 14, what is 3 - -326b?
3270
In base 4, what is 1123013 - -1?
1123020
In base 12, what is -1b8b - -5?
-1b86
In base 8, what is 104 - 234?
-130
In base 9, what is -285 - 0?
-285
In base 11, what is 73 + -4?
6a
In base 6, what is -1 + -2005?
-2010
In base 8, what is -4 - -150?
144
In base 15, what is -27 - 49?
-71
In base 11, what is 2 - 49?
-47
In base 10, what is -840 - 5?
-845
In base 4, what is 10 + -203312?
-203302
In base 14, what is 2 - -68?
6a
In base 8, what is -53 + -32?
-105
In base 11, what is -2 + 7?
5
In base 10, what is 75 - -2?
77
In base 10, what is -974 + -17?
-991
In base 11, what is -13 - -184?
171
In base 7, what is -5 + -352?
-360
In base 4, what is -10 + -132?
-202
In base 13, what is 520 + -3?
51a
In base 5, what is 31 - 10044?
-10013
In base 16, what is 5 + -2e?
-29
In base 16, what is 0 - -d?
d
In base 6, what is 2 - 153?
-151
In base 7, what is 3 - 354?
-351
In base 8, what is -16 + -220?
-236
In base 14, what is -4 - -23?
1d
In base 8, what is 11 + -11?
0
In base 2, what is 10010 + 10101110?
11000000
In base 5, what is -4142 - 1?
-4143
In base 12, what is -61 - -5?
-58
In base 11, what is 307 - 4?
303
In base 14, what is -1c + 1c?
0
In base 6, what is 4 + 222?
230
In base 7, what is 521 + -4?
514
In base 14, what is -257 - -6?
-251
In base 16, what is 3 - -6b?
6e
In base 9, what is -13 + -180?
-203
In base 13, what is -21 + -26?
-47
In base 7, what is 44 - 1?
43
In base 10, what is -834 - -3?
-831
In base 2, what is -100 - 11010110?
-11011010
In base 6, what is 5 + -433?
-424
In base 14, what is -4 + 1c2?
1bc
In base 2, what is -1 - -101010110100?
101010110011
In base 15, what is 92 - -5?
97
In base 14, what is 0 - -72?
72
In base 12, what is -1b20 - -3?
-1b19
In base 16, what is -5a + 1e?
-3c
In base 2, what is 100011 - 1110?
10101
In base 9, what is 8 + 7?
16
In base 5, what is 11 + -2131?
-2120
In base 12, what is -787 - -2?
-785
In base 4, what is -10 + 1122333?
1122323
In base 14, what is 1298 + -1?
1297
In base 13, what is 41 - -13?
54
In base 6, what is 22 + 0?
22
In base 10, what is -7 + 8?
1
In base 14, what is -4 - -7d6?
7d2
In base 11, what is 296 - 3?
293
In base 10, what is 65 + -27?
38
In base 13, what is -6b2 - -6?
-6a9
In base 16, what is 25d9 - 5?
25d4
In base 3, what is -10100 - 110?
-10210
In base 7, what is 6 - 20?
-11
In base 16, what is 5 + d1?
d6
In base 2, what is -111 + 11101000?
11100001
In base 13, what is -1 + -5?
-6
In base 4, what is 323103 + 3?
323112
In base 6, what is 121 + 111?
232
In base 12, what is -5a8 - -4?
-5a4
In base 13, what is -31 + 8?
-26
In base 12, what is -8 - -5?
-3
In base 2, what is -110 - 1000?
-1110
In base 6, what is 5 - 355?
-350
In base 10, what is 4 - 50?
-46
In base 11, what is 5 - -a3?
a8
In base 10, what is -5 + -32?
-37
In base 12, what is 6 + 14?
1a
In base 6, what is 3 - -3004?
3011
In base 14, what is -6b - 5?
-72
In base 8, what is -1223 + 5?
-1216
In base 15, what is -2c - -5?
-27
In base 3, what is -11 - 2021201?
-2021212
In base 13, what is -104 + -5?
-109
In base 11, what is -4 - 43?
-47
In base 8, what is 113 - 24?
67
In base 9, what is -15685 - 2?
-15687
In base 7, what is -1 + -1161?
-1162
In base 13, what is -3 - 852?
-855
In base 13, what is 5 + -233?
-22b
In base 12, what is -103 + 5?
-ba
In base 12, what is -2144 + -3?
-2147
In base 6, what is -1 + -225?
-230
In base 10, what is 0 + 28?
28
In base 3, what is 122 - -2?
201
In b
|
{
"pile_set_name": "DM Mathematics"
}
|
/5
Let c(h) be the second derivative of h**7/21 - 3*h**5/10 - h**4/3 + 4*h. Suppose c(w) = 0. What is w?
-1, 0, 2
Let a(p) be the third derivative of -p**6/30 - 8*p**5/15 - 13*p**4/6 - 4*p**3 - 20*p**2. Factor a(m).
-4*(m + 1)**2*(m + 6)
Let y(h) be the second derivative of h**10/75600 - h**9/37800 - h**8/16800 + h**7/6300 + h**4/3 + h. Let j(l) be the third derivative of y(l). Factor j(a).
2*a**2*(a - 1)**2*(a + 1)/5
Let m be 4 - (3/(-3) - 4). Suppose -6*p + m = -3*p. Factor -2/3 - u + 2/3*u**2 + u**p.
(u - 1)*(u + 1)*(3*u + 2)/3
Let q(t) be the second derivative of 3*t**5/35 + t**4/21 - 2*t**3/7 - 2*t**2/7 + 10*t. Factor q(g).
4*(g - 1)*(g + 1)*(3*g + 1)/7
Let l(v) = 2*v**2 - 3*v + 3. Let f(h) be the first derivative of -2*h**3 + 4*h**2 - 8*h - 5. Let a(x) = 3*f(x) + 8*l(x). Factor a(r).
-2*r**2
Let m(d) be the third derivative of -d**5/30 + 3*d**2. Let m(a) = 0. Calculate a.
0
Solve -1/7*w**2 + 8/7*w - 4/7 + 1/7*w**5 + 1/7*w**4 - 5/7*w**3 = 0.
-2, 1
Let y(o) be the second derivative of -o**5/150 + o**3/15 + 5*o**2/2 + 5*o. Let u(l) be the first derivative of y(l). Factor u(g).
-2*(g - 1)*(g + 1)/5
Let h(d) = -d**2 - 6*d + 6. Let y be h(-6). Let t be ((-1)/(-1))/(y - 5). Suppose 1/2*o + 1/2*o**2 - t = 0. Calculate o.
-2, 1
Find y, given that -6/5*y**3 + 0*y + 0 + 0*y**2 + 3/5*y**5 + 3/5*y**4 = 0.
-2, 0, 1
Suppose -5*y - 7 = 4*j, -3*j - y = y. Suppose o**2 + 0*o**2 - 3*o**j - o**2 - 9*o - 6 = 0. Calculate o.
-2, -1
Let r(j) = -10*j**2 + 7*j + 3. Let b(n) = 9*n**2 - 8*n - 2. Let f(z) = 6*b(z) + 5*r(z). Find g such that f(g) = 0.
1/4, 3
Let p(t) be the first derivative of t**6/45 - 3*t**5/20 + t**4/6 - 5*t**3/3 - 3. Let m(y) be the third derivative of p(y). Factor m(g).
2*(g - 2)*(4*g - 1)
Factor -13/2*f**2 - 18 - 1/2*f**3 - 24*f.
-(f + 1)*(f + 6)**2/2
Let p = -3/82 + 91/246. Let r be (-14)/(-6) - (0 + 2). Determine o so that -r - p*o**2 + 2/3*o = 0.
1
Let t(g) = 4*g**2 - 7*g + 7. Let c(x) = 3*x**2 - 6*x + 6. Let d be (-80)/(-14) - (-2)/7. Let a(z) = d*c(z) - 4*t(z). Factor a(r).
2*(r - 2)**2
Suppose 9*m - 6*m - 6 = 0. Let d(f) be the second derivative of 1/24*f**3 - f - 1/48*f**4 + 0*f**m + 0. Factor d(h).
-h*(h - 1)/4
Let y(o) = -3*o**5 + 6*o**4 + 3*o - 3. Let t(w) = -w**3 - w + 1. Suppose -1 + 3 = 2*m. Let s(d) = m*y(d) + 3*t(d). Factor s(c).
-3*c**3*(c - 1)**2
Let v = 10369/15 - 693. Let r = -4/3 - v. What is n in 2/5*n**2 + 0 - r*n**3 + 0*n = 0?
0, 1
Let i(v) be the second derivative of -v**4/24 + v**3/12 - 4*v. Suppose i(g) = 0. Calculate g.
0, 1
Let z(y) = -y**3 + 5*y**2 - 2. Let a be z(2). Suppose 4*g - 25 = -g - 5*m, 4*g - m = a. Solve -4 + 3*f + 0*f + 0 + 4*f**2 - f - 2*f**g = 0.
-1, 1, 2
Let m(v) be the first derivative of v - 2 - 3/4*v**4 - 1/2*v**2 - v**3. Let q(o) = -7*o**3 - 6*o**2 - o + 3. Let b(s) = 5*m(s) - 2*q(s). Factor b(r).
-(r + 1)**3
Find w, given that -3/2*w**4 + 0*w - 6*w**2 + 0 - 6*w**3 = 0.
-2, 0
Let a(p) = -3*p**2 + 6*p - 11. Let r(z) = 5*z**2 - 12*z + 21. Let v(b) = 7*a(b) + 4*r(b). Factor v(k).
-(k - 1)*(k + 7)
Let -6 - 26*i + 18*i - 4*i**2 + 2*i**2 = 0. What is i?
-3, -1
Let i(o) be the third derivative of 2*o**7/105 + o**6/30 - o**5/5 - o**4/6 + 4*o**3/3 - 2*o**2. Solve i(c) = 0 for c.
-2, -1, 1
Let b(c) be the first derivative of c**9/4536 + c**8/1260 + c**7/1260 - 4*c**3/3 - 1. Let z(n) be the third derivative of b(n). Factor z(u).
2*u**3*(u + 1)**2/3
Let g(o) = -o**3 - 25*o**2 + 30*o + 104. Let v be g(-26). What is i in 1/5*i**3 - 7/5*i**4 + 7/5*i**2 - 3/5*i**5 + v + 2/5*i = 0?
-2, -1, -1/3, 0, 1
Let x be -1 - (-20)/35 - -1. Let -2/7 - 2/7*c**2 - x*c = 0. What is c?
-1
Let j = -25 + 37. Let h be 4/j + (-3)/(-45). Suppose 0*m + h - 2/5*m**2 = 0. What is m?
-1, 1
Suppose -5*y + 5 = 3*s + 17, 0 = -y - s - 4. Let h(z) be the first derivative of 1/20*z**5 + 2 + y*z**3 + 0*z + 0*z**2 + 3/16*z**4. Factor h(t).
t**3*(t + 3)/4
Let t be 36 - (-2 + 1)*-1. Let l be ((-4)/10)/((-28)/t). Factor -2 + 3/2*d**2 - 2*d + l*d**4 + 2*d**3.
(d - 1)*(d + 1)*(d + 2)**2/2
Let r be -2 + (2 - 0) - 2. Let u = r - -5. Factor 3*y**2 - 1 + y + 4*y - u*y.
(y + 1)*(3*y - 1)
Let j be -3 + 2 + (-152)/32 + 6. Factor 0*m - j*m**2 - 1/4*m**3 + 0.
-m**2*(m + 1)/4
Let i(d) be the third derivative of d**7/35 + 3*d**6/40 - 7*d**5/20 - 3*d**4/2 - 2*d**3 - 5*d**2. Determine a so that i(a) = 0.
-2, -1, -1/2, 2
Let u(i) be the second derivative of -3*i**5/140 + 3*i**3/14 + 3*i**2/7 - i. Solve u(s) = 0 for s.
-1, 2
Let n(a) = 5*a**5 + 3*a**4 - 3*a**3 - 5*a**2. Let r be (-2*2/(-4))/1. Let q(i) = i**5 - i**2. Let t(l) = r*n(l) - 2*q(l). Solve t(z) = 0 for z.
-1, 0, 1
Let z = -2 - -7. Suppose z - 4*r**2 + 3*r**3 - 1 + 4*r - 6*r - r**3 = 0. Calculate r.
-1, 1, 2
Find v, given that -245/2*v**4 + 0 + 5*v + 735/4*v**5 - 305/4*v**3 + 10*v**2 = 0.
-1/3, -2/7, 0, 2/7, 1
Let b be 29/3 + 1/3. Suppose -b*g + 0 + 6*g**2 + 4 - 20*g**2 = 0. Calculate g.
-1, 2/7
Let a(g) be the second derivative of -g**4/66 - 16*g**3/33 + 10*g + 1. Find m, given that a(m) = 0.
-16, 0
Let y(j) = -3*j + 15. Let m be y(12). Let v = m - -43/2. Solve v*g - 1/2*g**2 + 0 = 0 for g.
0, 1
Suppose -2*q + 5 = -q. Factor -8*z - z - 3 - z**2 - q*z**2.
-3*(z + 1)*(2*z + 1)
Factor 4/9*v + 6*v**3 + 26/9*v**2 + 14/9*v**5 + 0 + 46/9*v**4.
2*v*(v + 1)**3*(7*v + 2)/9
Let q(o) be the third derivative of -o**5/420 - o**4/42 - 2*o**3/21 + 9*o**2. Suppose q(y) = 0. Calculate y.
-2
Let g be (12/(-3) + -2)/(-2). Suppose -g + 2*j**3 + 3 - 2*j**5 = 0. Calculate j.
-1, 0, 1
Let k = -86 - -86. Solve 0 + 0*m**3 + k*m + 1/5*m**4 - 1/5*m**2 = 0.
-1, 0, 1
Let x(j) be the first derivative of -j**8/840 + j**6/60 + j**5/30 + 7*j**3/3 + 5. Let h(a) be the third derivative of x(a). Suppose h(m) = 0. What is m?
-1, 0, 2
Let d(t) be the first derivative of t**3/12 - t**2/8 - t/2 + 34. Solve d(s) = 0 for s.
-1, 2
Let j = 175/1278 + 10/71. Let i(k) be the third derivative of 4/9*k**3 + 2*k**2 + j*k**5 + 0*k + 5/9*k**4 + 0. Factor i(g).
2*(5*g + 2)**2/3
Let i(u) = u**3 + u**2 - u + 1. Let f(z) = z**3 + 7*z**2 - 5*z + 3. Let v(j) = 2*f(j) - 6*i(j). Factor v(q).
-4*q*(q - 1)**2
Let q(m) be the first derivative of -m**4/36 - m**3/9 - m**2/6 + 3*m - 3. Let l(v) be the first derivative of q(v). Factor l(a).
-(a + 1)**2/3
Let u(h) be the second derivative of -1/4*h**4 - 2*h**3 + 0 + 5*h - 9/2*h**2. Solve u(c) = 0 for c.
-3, -1
Find k such that -4*k - 12/5*k**2 + 8/5 = 0.
-2, 1/3
Let u(p) be the third derivative of p**5/30 + 11*p**4/6 + 121*p**3/3 - 40*p**2. What is j in u(j) = 0?
-11
Let q be 0*3*2/(-6). Let 0*y**2 + 0 + 2/3*y**5 - 4/3*y**3 + q*y**4 + 2/3*y = 0. What is y?
-1, 0, 1
Let c(l) be the first derivative of -4*l**5/25 + 7*l**4/20 + 14*l**3/15 + 3*l**2/10 - 66. Factor c(f).
-f*(f - 3)*(f + 1)*(4*f + 1)/5
Factor 0*z - 2*z**3 - 5*z + 7*z.
-2*z*(z - 1)*(z + 1)
Let z(b) be the second derivative of b**6/90 + b**5/20 - b**4/6 - 14*b**3/9 - 4*b**2 - 2*b. Factor z(v).
(v - 3)*(v + 2)**3/3
Let b be 2 + 10/25 - 2. Let d = 13/35 - -3/7. Factor -b*v**2 - 2/5*v + d.
-2*(v - 1)*(v + 2)/5
Let f(d) = 2*d**4 - 4*d**3 + d**2 + d. Let l(h) = -11*h**4 + 23*h**3 - 6*h**2 - 6*h. Let g(v) = 34*f(v) + 6*l(v). Suppose g(u) = 0. Calculate u.
-1, 0, 1
Suppose -2*t = -6*t + 12. Let j(a) = a**4 + a**3. Let g(z) = -2*z**4 - 4*z**3 - z**2 + z. Let n(x) = t*j(x) + g(x). Determine l so that n(l) = 0.
-1, 0, 1
Let t(c) be the second derivative of c**6/420 + c**5/210 + c**2/2 - 2*c. Let m(s) be the first derivative of t(s). Find z such that m(z) = 0.
-1, 0
Let o(t) be the first derivative of t**7/4620 + t**6/990 - t**5/660 - t**4/66 - 5*t**3/3 + 1. Let f(b) be the third derivative of o(b). Factor f(d).
2*(d - 1)*(d + 1)*(d + 2)/11
Let y(r) be the third derivative of r**7/30 + r**6/24 - 3*r**5/20 - 5*r**4/24 + r**3/3 - 15*r**2. Suppose y(t) = 0. Calculate t.
-1, 2/7, 1
Find g, given that 1/3*g - 1/3*g**2 + 1/3*g**4 + 0 - 1/3*g**3 = 0.
-1, 0, 1
Suppose -s - 146 + 148 = 0. Factor 0*w - 2/3*w**3 + 0 + 0*w**s.
-2*w**3/3
Suppose 0 = -4*o + 8. Let r be (-1 + (-25)/(-10))*o. Factor -8/11*n + 6/11*n**r + 2/11*n**4 + 0 + 0*n**2.
2*n*(n - 1)*(n + 2)**2/11
Let l = -7 - -7. Let j(q) be the second derivative of 1/20*q**5 - 1/12*q**4 + 0 - 3*q + 0*q**2 + l*q**3. Factor j(u).
u**2*(u - 1)
Let k be (4 + -6)*(-1 + -1). Determine q so that -2/9*q**k - 2/9 + 8/9*q**3 - 4/3*q**2
|
{
"pile_set_name": "DM Mathematics"
}
|
/5)/(m**(-2/131)*m*m) assuming m is positive.
m**(-3134/655)
Simplify (c**(14/5)*c)/c**21 assuming c is positive.
c**(-86/5)
Simplify (((k**(-1)*k)/k)**(1/7))**(5/4) assuming k is positive.
k**(-5/28)
Simplify c/(c*c*c/(c*c*((c*c**3)/c)/c))*(c/(c/(c/(c**(2/21)*c))))/c assuming c is positive.
c**(19/21)
Simplify w*w*w**5*w*w*w**(-32) assuming w is positive.
w**(-23)
Simplify d*d/(d/(d**(-24/11)*d))*d/d**(-1/13) assuming d is positive.
d**(128/143)
Simplify i**15*i**(23/2) assuming i is positive.
i**(53/2)
Simplify q/q**3*q**(-1)*(q**(-1))**27 assuming q is positive.
q**(-30)
Simplify (m**(-5)/m*m*m*m**(3/5))/((m*(m/(m*m**(-2/13)))/m*m)/(m/(m/m**(-4/5)))) assuming m is positive.
m**(-348/65)
Simplify (h**(-1/5)/h)**(-1/8)/(h*h**(4/9)*h**(-1/2)) assuming h is positive.
h**(-143/180)
Simplify (x**3/(x*x**(1/7)/x*x))/((x/(x*x**(-1/2)))/x)**(2/71) assuming x is positive.
x**(930/497)
Simplify x*x**(-27)*x*x/x**(1/22) assuming x is positive.
x**(-529/22)
Simplify q**(-19)*q/(q/q**(-1/4)*q*q) assuming q is positive.
q**(-85/4)
Simplify (c**8)**(-41) assuming c is positive.
c**(-328)
Simplify (z**1)**(5/3) assuming z is positive.
z**(5/3)
Simplify ((u/(u/(u*u**3)))/u**(-3))**(-15) assuming u is positive.
u**(-105)
Simplify (w**2/(w**2*w))/(w**2)**41 assuming w is positive.
w**(-83)
Simplify (u/((u/(u**(-4)*u))/u))**(2/13) assuming u is positive.
u**(-4/13)
Simplify ((o/o**5)/(o/(o/((o*(o**(1/11)*o)/o)/o))))/(o/((o**1*o)/o))**(-26) assuming o is positive.
o**(-45/11)
Simplify (a**(-3/5)/(a**1/a))**(-11) assuming a is positive.
a**(33/5)
Simplify (q**1/q)**(-38)/((q*q*q/(((q/(q*q**(-3/10)))/q)/q))/(q*q**(-6))) assuming q is positive.
q**(-97/10)
Simplify (p**(-7)*p*p*p/(p*p**(-5/4)*p)*p)/((p*p/((p*p/(p**(-5)*p)*p)/p))/p*p/p**5) assuming p is positive.
p**(21/4)
Simplify s**(5/6)*s/(s**(-2/7)*s) assuming s is positive.
s**(47/42)
Simplify (n**(-16/5)/n)**(11/9) assuming n is positive.
n**(-77/15)
Simplify (i/(i*i**22))/i**(-1/22) assuming i is positive.
i**(-483/22)
Simplify (u*u/((u**(26/7)/u*u)/u))/u*u/(u/u**(-4/13)) assuming u is positive.
u**(-184/91)
Simplify d/(d**(-3)*d)*d**(-2/9)*(d**1/d)**(-2/59) assuming d is positive.
d**(25/9)
Simplify (i**(-3/14)/i)/i**(-10) assuming i is positive.
i**(123/14)
Simplify (c**(-2/9))**(-30)/((c/c**(6/11))/(c*c*c**1)) assuming c is positive.
c**(304/33)
Simplify (q/(q**11/q))/(q**(-10)/q) assuming q is positive.
q**2
Simplify (h**(2/7)/h*h)**(-8) assuming h is positive.
h**(-16/7)
Simplify (z/z**(3/2))/(z/z**(-2/3)*z)*z**(2/11)*(z**7/z)/z assuming z is positive.
z**(133/66)
Simplify (i/(i/(i/(i**(-2/11)*i))))**(15/8) assuming i is positive.
i**(15/44)
Simplify (i**(-1/5)*i/((i/(((i*(i**(-1/7)/i)/i)/i)/i))/i))/(i**1)**(-2) assuming i is positive.
i**(-12/35)
Simplify z*z**(-1/3)*z**(2/3)/z assuming z is positive.
z**(1/3)
Simplify (q/(q/q**(-2/7)*q))**1*q/(q*q**(-3)*q*q*q)*q*q*((q/(q/(((((q/(q**4*q))/q)/q)/q*q)/q)))/q)/q*q assuming q is positive.
q**(-51/7)
Simplify (t*((t/(t*t**(-1/5))*t)/t)/t*t)**(-2/5)*t**3*t**4*t assuming t is positive.
t**(188/25)
Simplify (p**(-1/4)*p)**(-17/4)/(p/(p*p*p**4*p)*p**(2/13)) assuming p is positive.
p**(553/208)
Simplify (i**(-5))**(-29) assuming i is positive.
i**145
Simplify (a*a**0*a)**(-10/7)/((a**(1/11)*a*a)/(a/(a/(a/(a*a/((a*a**(-3/5))/a)))))) assuming a is positive.
a**(-2521/385)
Simplify q*q**18*q**39 assuming q is positive.
q**58
Simplify (q**(19/2)/(q/(q**2/q)))**(8/9) assuming q is positive.
q**(76/9)
Simplify (r**(-2/7))**(-1/20)/(r**6*r*r**(2/15)) assuming r is positive.
r**(-299/42)
Simplify (f*f/(f*f*f/(f/(f/f**6)))*(f/(f**(2/15)*f))/f)/(f/(f*f*(f*f**5)/f)*f**(-2/19)*f) assuming f is positive.
f**(2557/285)
Simplify (p/(p**2/p))/p*p**1 assuming p is positive.
1
Simplify (c/c**(-2/3))**(-34)/((c*c**1)/c)**(-2/51) assuming c is positive.
c**(-2888/51)
Simplify (r/r**(1/4))**(-13/3)*(r**(1/3))**1 assuming r is positive.
r**(-35/12)
Simplify (o**(-9))**18 assuming o is positive.
o**(-162)
Simplify (j**(3/4)/j)/(((j/(j**(3/5)*j))/j)/j)*(j**(1/2)/j)**(1/7) assuming j is positive.
j**(319/140)
Simplify ((c/c**(5/6))/c)/(c*c/(((c**8*c)/c)/c*c)) assuming c is positive.
c**(31/6)
Simplify (x/x**1*x)**47 assuming x is positive.
x**47
Simplify ((n*n**0)**41)**(-48) assuming n is positive.
n**(-1968)
Simplify (k**(-1/13)*k)/(k**(4/3)*k) assuming k is positive.
k**(-55/39)
Simplify ((x*x**(-2/7))**37)**(-18) assuming x is positive.
x**(-3330/7)
Simplify i**4/i**(13/2) assuming i is positive.
i**(-5/2)
Simplify m**(-1/2)*m/m**(-22) assuming m is positive.
m**(45/2)
Simplify (w*w**6)/w*w**(-4)*w**6/(w*w**(5/4)) assuming w is positive.
w**(23/4)
Simplify f/f**(-1/4)*f*f**(-3/14) assuming f is positive.
f**(57/28)
Simplify v**(2/3)*v*v/v**(-7/12) assuming v is positive.
v**(13/4)
Simplify ((h**(-4)*h)/h*(h/((h*(h**(-3/10)/h)/h)/h))/h)**38 assuming h is positive.
h**(-323/5)
Simplify o*(o**(2/7)/o*o)/o*o**(-2/3)*o**(-4)*o*o*(o**6/o*o)/o*o assuming o is positive.
o**(76/21)
Simplify ((j*j*j**3*j)/j**(-6))**46 assuming j is positive.
j**552
Simplify k**(-4/5)*k*k**(-25) assuming k is positive.
k**(-124/5)
Simplify (((c*c**(-2)*c)/c)/c)**(-27)*((c*c**(-2/5))/c)/c**8 assuming c is positive.
c**(228/5)
Simplify (l/(l*l**5/l)*l**(3/4)/l)**50 assuming l is positive.
l**(-425/2)
Simplify j/j**(-2)*j*j**4*j*j*j*j**5*j**(-3)/j assuming j is positive.
j**12
Simplify (a**(-15))**(-10) assuming a is positive.
a**150
Simplify w**(16/5)*w*w**(-3) assuming w is positive.
w**(6/5)
Simplify ((l**(3/7)*l)/((l/(((l**(3/4)*l)/l)/l))/l))/(l*l**(-9)/l*l*l*l*l*l**(-7)*l) assuming l is positive.
l**(341/28)
Simplify (b/((b**(-3/4)*b)/b)*b*b*b*b*b/(b**(-7)*b)*b*b*b)/((b**(-6)/b*b)/((((b/(b/(b*b/(b*b/(b*b*b/b**(4/3))))))/b*b)/b)/b)) assuming b is positive.
b**(257/12)
Simplify (x**(2/5))**(-11/4)/(x**(4/9)/((x/(x*x*(x**(-6)*x)/x*x*x*x))/x)) assuming x is positive.
x**(-49/90)
Simplify i**(-3)*i**(-18) assuming i is positive.
i**(-21)
Simplify (p**(-8)*p)/p**(2/3) assuming p is positive.
p**(-23/3)
Simplify ((i**(-3)*i)/(i*i*i**(3/5)*i))/(i*i*i/((i/(i**(-2/3)/i))/i)*i)**36 assuming i is positive.
i**(-448/5)
Simplify (i**(1/12)/i)/(i*i**(5/9)) assuming i is positive.
i**(-89/36)
Simplify v**(2/7)*v**(2/5)*(v*v*(v*v**(-5))/v)/(v*v**(1/3)) assuming v is positive.
v**(-383/105)
Simplify z*z/(z*z**16)*z/z**(1/70)*z assuming z is positive.
z**(-911/70)
Simplify ((u/(u/u**1))**(-31))**(-4/3) assuming u is positive.
u**(124/3)
Simplify (u/(u**(-3/4)*u))/(u/(u**(2/45)/u)) assuming u is positive.
u**(-217/180)
Simplify (x**(-8)/x)/(x*x/(x**(-2/45)/x)) assuming x is positive.
x**(-542/45)
Simplify (((l*l/(l**(5/6)*l))/l)/((l/l**(-1/2))/l))/(l**0/l*l)**39 assuming l is positive.
l**(-4/3)
Simplify (g*g*g/g**(-2/7)*g)**(-3/17)*(g/(g/g**(2/5))*g*g*g)/g**0 assuming g is positive.
g**(1573/595)
Simplify (z/z**(-7))/(z*z**18) assuming z is positive.
z**(-11)
Simplify (w*(w*w**(-21)*w*w)/w*w*w)/w*w*w**(19/3) assuming w is positive.
w**(-29/3)
Simplify (((a**(3/8)/a)/a)**(3/17))**(-1/25) assuming a is positive.
a**(39/3400)
Simplify ((g*((g/g**17)/g*g)/g*g*g)/g)/g*g*g**(-12) assuming g is positive.
g**(-27)
Simplify (y**6*y/y**10)**(-11/8) assuming y is positive.
y**(33/8)
Simplify j**(-12)/j**(-21) assuming j is positive.
j**9
Simplify (o**(-2/7)/o*o)/o**25 assuming o is positive.
o**(-177/7)
Simplify f**(-25)*(f*((f/f**(-25))/f*f)/f)/f assuming f is positive.
1
Simplify ((x*x**(-2/19)*x)/x)**(-12/5) assuming x is positive.
x**(-204/95)
Simplify n**34*n*n**(-2/7) assuming n is positive.
n**(243/7)
Simplify ((y/((y/y**0)/y*y))/y)/(y*(y*y**(-6)/y*y)/y)*y**(4/9)*y*((y*y**(-2/7))/y)/y assuming y is positive.
y**(262/63)
Simplify (v**9*(v/v**(5/2)*v)/v)**(3/4) assuming v is positive.
v**(45/8)
Simplify z**3/z**(3/5)*(z*((z**(2/9)*z)/z)/z*z)/(z*z**(-6)) assuming z is positive.
z**(388/45)
Simplify q**7*q**(1/9) assuming q is positive.
q**(64/9)
Simplify (n**(-1/5)*n*n)**(-3/28)*(n/n**(3/2))/n**1 assuming n is positive.
n**(-237/140)
Simplify (j**(-8)/j)/j**(-4/7) assuming j is positive.
j**(-59/7)
Simplify p**(-3/5)/p**4*p/p**(-1)*p**(-5) assuming p is positive.
p**(-38/5)
Simplify (v**5*v*v**5*v)**(2/59) assuming v is positive.
v**(24/59)
Simplify (m*m/m**0)/(m/(m*m**(18/5)*m)) assuming m is positive.
m**(33/5)
Simplify u**(2/
|
{
"pile_set_name": "DM Mathematics"
}
|
earest to 2.2 in 2/15, 0.04, 4/3, 5?
4/3
Which is the nearest to -2/3? (a) -1/6 (b) -4 (c) 0.06 (d) -1/7
a
What is the closest to 1/11 in 0.1, 0.4, -4?
0.1
Which is the nearest to 2/7? (a) -13 (b) -6 (c) 0.5
c
Which is the nearest to 0.2? (a) -0.1 (b) 3 (c) 1 (d) -1/3
a
Which is the nearest to 2? (a) 0.1 (b) 1/56 (c) -2/11
a
What is the closest to 5 in 0, 5, 11, -7?
5
Which is the closest to -0.1? (a) -0.3 (b) -82 (c) 5
a
What is the closest to 0 in 2, -1642, -1?
-1
What is the closest to 0 in 1, 1/7, -1/6, -41?
1/7
Which is the nearest to 1/4? (a) 3 (b) 679 (c) -1/5
c
What is the closest to 0 in 1, -0.2, -6/67?
-6/67
What is the closest to -3 in 2, -1, 6, 3/14?
-1
What is the nearest to 0 in 4/5, 5, -2/7, -0.3?
-2/7
What is the closest to -1/3 in -3/2, 1/5, 3?
1/5
Which is the closest to 0? (a) -1 (b) 5 (c) -4/3 (d) 1.2
a
Which is the nearest to -2? (a) -6.5 (b) -0.3 (c) 1
b
What is the nearest to 0.2 in 0.073, 5, -3, -1/4?
0.073
Which is the nearest to 3/65? (a) -2 (b) -1/5 (c) 0.1
c
What is the closest to 33 in -0.1, -3, 0.1?
0.1
What is the closest to 187 in 5, 15, -2/11?
15
What is the closest to -8 in 1, -3, -6?
-6
What is the nearest to -9 in -3/2, 5, 0.2, -1?
-3/2
What is the closest to 0.1 in -5, -4/9, 1/4?
1/4
Which is the nearest to 1? (a) -0.2 (b) 1/4 (c) 45
b
What is the nearest to -2/11 in -13, 408, 0.4, 5?
0.4
Which is the nearest to 6/13? (a) -0.4 (b) -1 (c) 0.5 (d) -0.2
c
Which is the closest to 0? (a) 14/37 (b) -2/11 (c) -3
b
Which is the closest to 0.1? (a) 0 (b) 38 (c) -1 (d) -0.3
a
What is the closest to 13 in 2, -0.5, 0.2, 2/3?
2
What is the nearest to 0.11 in -2/5, 1/3, -2/23?
-2/23
Which is the closest to -0.1? (a) 1.5 (b) 2/7 (c) -23/12
b
What is the closest to -1 in 4, -4/5, -0.2, 3/11?
-4/5
Which is the closest to 7? (a) 21 (b) 2 (c) -0.3
b
Which is the nearest to 128? (a) 22 (b) 5 (c) 0.5
a
What is the nearest to 6 in 2/3, 28, -17?
2/3
Which is the nearest to -1? (a) 13 (b) 1/5 (c) -0.4 (d) -1
d
Which is the nearest to -5/4? (a) -1.2 (b) -4/11 (c) -5
a
Which is the nearest to 10? (a) -3 (b) -0.04 (c) -6
b
What is the closest to 2/5 in -3, -57/2, -2?
-2
Which is the closest to 3? (a) -4 (b) 7 (c) -2 (d) 2
d
What is the nearest to -0.2 in 0, 2, -80?
0
Which is the closest to -0.1? (a) 3/17 (b) -2 (c) 1/13
c
Which is the nearest to 17? (a) -2 (b) -1/8 (c) 3
c
Which is the closest to -2? (a) -5 (b) 2 (c) -2
c
Which is the nearest to 0? (a) -231 (b) -0.2 (c) -2 (d) 4
b
What is the closest to 0.1 in 64, 4, -2/31, -1?
-2/31
What is the closest to -1/4 in 5, 1, 103, 0.1?
0.1
Which is the nearest to 3/7? (a) 0.4 (b) -5 (c) -4/3 (d) -1
a
Which is the nearest to 2/63? (a) -4/3 (b) -64 (c) -4
a
Which is the closest to 0.11? (a) 2 (b) -4/7 (c) 87
b
Which is the closest to 0.1? (a) 2/3 (b) 6 (c) -0.5 (d) -5
a
What is the nearest to -361 in -1/4, -4/9, -2?
-2
Which is the nearest to 0.4? (a) 1/7 (b) 2/5 (c) 20
b
What is the closest to 1 in 15/11, 1, -8, 3?
1
Which is the nearest to 38? (a) 0 (b) 5 (c) 2/7
b
Which is the closest to -0.2? (a) 11 (b) -0.5 (c) -1/3 (d) 1/7
c
What is the closest to -6 in 1/2, 1.7, -0.4?
-0.4
Which is the nearest to 0.4? (a) 1/5 (b) -0.2 (c) 2/5 (d) -2/5
c
Which is the closest to 1/4? (a) 2/9 (b) 2 (c) -0.2 (d) 1/3
a
Which is the nearest to 2/7? (a) -0.59 (b) -4 (c) -0.1 (d) -2/9
c
Which is the nearest to -1/9? (a) 1.3 (b) -3 (c) 1/4
c
What is the closest to 1 in -0.2, -1, 0, -2?
0
Which is the nearest to -9? (a) -1/3 (b) 247 (c) -0.3
a
Which is the closest to -2/7? (a) -2/7 (b) -7 (c) -5 (d) 1
a
What is the closest to 5 in -12/11, -47, 5?
5
Which is the nearest to -0.1? (a) 4 (b) -2/7 (c) -1/4 (d) -0.014
d
Which is the nearest to 1? (a) 0.3 (b) -3 (c) 1/14 (d) 0
a
Which is the closest to 1? (a) 2 (b) 24/91 (c) 0.3 (d) -4/7
c
What is the closest to -1 in -0.2, 3, -0.05, -2/13?
-0.2
Which is the closest to 0? (a) 2 (b) -0.03 (c) 10 (d) 1/2
b
Which is the nearest to 37? (a) 0.5 (b) -2/63 (c) 3 (d) 2/11
c
Which is the closest to -1? (a) 2/5 (b) 6 (c) 3
a
What is the nearest to -1 in 0, 5, -10/9?
-10/9
What is the nearest to 3/7 in 1, -3, 0, 0.2?
0.2
Which is the closest to 1? (a) -0.04 (b) 1/2 (c) 26 (d) 5
b
What is the closest to 6 in 8, 0, -4, 5?
5
What is the closest to 0 in 2, 8/17, 3?
8/17
What is the nearest to 0.1 in 0.4, -3, 0.07, 0.5?
0.07
What is the closest to -1 in 5, -12, -10, 2/11?
2/11
What is the nearest to -2 in -1, 2, 31?
-1
Which is the closest to 1? (a) -0.1 (b) 0.2 (c) -2 (d) -7
b
Which is the nearest to 5? (a) 5 (b) -0.1 (c) 2/9 (d) -0.3
a
What is the nearest to -0.3 in -5, -1/7, 3/8, 0.4?
-1/7
Which is the nearest to -0.18? (a) 2 (b) 0.4 (c) 43
b
What is the nearest to -12 in 1/12, -2/3, 4?
-2/3
What is the closest to 1 in -0.1, 0.3, -61, -3?
0.3
Which is the nearest to -10? (a) -2/5 (b) -0.1 (c) 0.2 (d) -3
d
What is the nearest to 2 in 0.8, -0.3, -0.01?
0.8
Which is the nearest to 2/7? (a) 1/231 (b) 0.4 (c) 5
b
Which is the closest to -1? (a) 8 (b) 0.8 (c) 0.2 (d) 4
c
What is the closest to -1 in 0, 0.2, -6, 1/7?
0
Which is the closest to -1? (a) -13 (b) 0.08 (c) -2
c
Which is the nearest to -1? (a) -284 (b) -0.1 (c) 3
b
What is the nearest to 2/7 in 0.4, 5, 1, 1.6?
0.4
Which is the nearest to 0.6? (a) -0.2 (b) 0.2 (c) 5 (d) 0.08
b
What is the closest to 0.1 in 14, 0.06, -1?
0.06
Which is the nearest to -3/11? (a) 1/3 (b) -2/5 (c) 23
b
What is the closest to 0.6 in 4, -3, 0.3?
0.3
Which is the nearest to 0.1? (a) -49 (b) -29 (c) -3/2
c
What is the closest to -6 in -0.3, -0.2, -4, -5?
-5
Which is the closest to 1? (a) -1/9 (b) -15 (c) 5 (d) -0.04
d
What is the closest to 0.1 in -0.05, -5, -11?
-0.05
Which is the closest to -1? (a) -9 (b) -0.058 (c) 0.3
b
What is the closest to -0.1 in 3/7, -1, 10?
3/7
What is the closest to 4 in -3/5, 0.4, 1?
1
What is the nearest to 3 in -12, 2/5, -4, 4?
4
Which is the nearest to -0.1? (a) 0.3 (b) 4 (c) -1 (d) -66
a
Which is the nearest to 1? (a) -2/27 (b) -0.08 (c) -3 (d) 4
a
What is the closest to 1 in 1/5, 15, -4, -2/13?
1/5
Which is the nearest to -2? (a) -3 (b) 1/25 (c) 2
a
Which is the nearest to 1/2? (a) -4 (b) 0.06 (c) 1/4
c
What is the closest to 1/4 in -2/9, -3, 37, -1/12?
-1/12
What is the nearest to 0.2 in 3.3, -1/5, -8?
-1/5
Which is the nearest to -1/6? (a) 0 (b) -0.05 (c) 2/7 (d) 3
b
What is the closest to 0.1 in 11, -1, -1/4, 1?
-1/4
What is the nearest to 3/5 in -5/6, 3, 11, -0.2?
-0.2
What is the nearest to 0.1 in -11, -2, -2/7, 4/9?
4/9
What is the nearest to 0.1 in -3/2, 4, -2/3, 2?
-2/3
What is the nearest to 0.1 in 0, 1, 0.028, 0.5?
0.028
Which is the closest to -5/6? (a) -2/11 (b) -2 (c) -3
a
Which is the nearest to 0.03? (a) -1/2 (b) -0.1 (c) -21/10 (d) -1
b
What is the nearest to 1 in 1/8, 41, -2/3, -0.02?
1/8
What is the nearest to -1 in -7, 3/8, -1?
-1
Which is the closest to 11? (a) 3 (b) 4 (c) -5 (d) -0.1
b
What is the nearest to 2/5 in -1, -167, 0, 3/5?
3/5
Which is the nearest to 1? (a) -2/9 (b) -2/5 (c) -4 (d) 3
a
Which is the closest to -17? (a) 1/4 (b) -2/17 (c) -22/7
c
Which is the nearest to -105/4? (a) -4 (b) -0.3 (c) -2/7
a
What is the closest to -2/7 in -5, 118, -1/13?
-1/13
What is the nearest to 4/61 in 2/9, 3/2, -2/3, -3?
2/9
Which is the closest to 0.17? (a) 5 (b) 1 (c) -6
b
What is the closest to -1/14 in -2/7, -5, -0.5, 0.4?
-2/7
Which is the closest to 1? (a) 5 (b) 0.06 (c) 3 (d) 14
b
What is the nearest to -0.1 in -62, 0.1, 3?
0.1
Which is the nearest to -2/5? (a) -3 (b) 0.1 (c) 0.4 (d) -0.4
d
What is the nearest to -1 in 0.5, -1/2, -0.01?
-1/2
Which is the nearest to 2? (a) -0.055 (b) -0.5 (c) 4/7 (d) -1
c
Which is the nearest to -130? (a) -5 (b) -1/16 (c) -1
a
Which is the closest to -0.1? (a) 181 (b) -0.3 (c) -2/7
c
What is the nearest to 0.1 in -1/2, 3, -2, 258?
-1/2
Which is the closest to -2? (a) 0 (b) -5 (c) 84
a
Which is the closest to 23.1? (a) 2/21 (b) 0.2 (c) 2/3
c
Which is the closest to -13/3? (a) -1/2 (b) -5 (c) 0.5
b
What is the closest to -2/39 in -7, -1/2, -5, 1?
-1/2
Which is the nearest to -17? (a) -5/13 (b) 3/2 (c
|
{
"pile_set_name": "DM Mathematics"
}
|
b when two letters picked without replacement from {b: 1, x: 2, f: 2}.
1/5
Calculate prob of picking 3 i when three letters picked without replacement from {i: 6, p: 2}.
5/14
Calculate prob of picking 2 i and 2 f when four letters picked without replacement from {m: 1, i: 8, v: 5, f: 4}.
14/255
Two letters picked without replacement from {x: 4, u: 7, s: 4}. Give prob of picking 1 x and 1 u.
4/15
Calculate prob of picking 3 l when three letters picked without replacement from {l: 4, p: 7, i: 2}.
2/143
Four letters picked without replacement from ggggggggigedgbgiigbg. What is prob of picking 2 i, 1 e, and 1 d?
1/1615
Two letters picked without replacement from {z: 3, x: 1, w: 2, l: 4, s: 1, f: 4}. What is prob of picking 1 x and 1 f?
4/105
Two letters picked without replacement from {y: 4, p: 2, a: 2, d: 1, t: 1, u: 2}. What is prob of picking 1 a and 1 d?
1/33
Calculate prob of picking 1 b and 1 n when two letters picked without replacement from nnicb.
1/5
Two letters picked without replacement from gnolggotolwo. Give prob of picking 1 l and 1 g.
1/11
Four letters picked without replacement from qqqcqqqq. What is prob of picking 1 c and 3 q?
1/2
Three letters picked without replacement from {c: 3, g: 3, q: 3, s: 3}. Give prob of picking 2 q and 1 s.
9/220
What is prob of picking 1 h, 1 f, and 1 y when three letters picked without replacement from ccffhhhhfiychhyihhc?
16/323
Four letters picked without replacement from nhhhnhniiin. Give prob of picking 2 n and 2 i.
3/55
Two letters picked without replacement from {l: 1, y: 1, s: 1}. Give prob of picking 1 s and 1 y.
1/3
What is prob of picking 4 w when four letters picked without replacement from {h: 2, w: 4, f: 2}?
1/70
What is prob of picking 1 v and 1 m when two letters picked without replacement from {p: 3, m: 2, z: 1, v: 3, j: 3, k: 2}?
6/91
Calculate prob of picking 3 z and 1 y when four letters picked without replacement from {v: 1, d: 1, z: 6, y: 1}.
10/63
Three letters picked without replacement from {j: 3, s: 4, u: 9, g: 4}. Give prob of picking 1 j, 1 u, and 1 g.
9/95
Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {j: 4, p: 6, t: 1, k: 1, q: 1, r: 3}.
1/120
What is prob of picking 2 x when two letters picked without replacement from {x: 11, p: 5}?
11/24
Three letters picked without replacement from {v: 1, b: 1, r: 1, s: 1, a: 1, e: 2}. What is prob of picking 1 v, 1 a, and 1 b?
1/35
Calculate prob of picking 1 d and 1 n when two letters picked without replacement from vnndnnnnndvnn.
3/13
What is prob of picking 1 v and 1 s when two letters picked without replacement from hvuashgv?
1/14
Two letters picked without replacement from {y: 11, v: 3}. Give prob of picking 1 v and 1 y.
33/91
Two letters picked without replacement from {s: 4, c: 2, q: 4, g: 5, a: 1}. Give prob of picking 1 g and 1 c.
1/12
Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {l: 1, k: 9, e: 1, q: 2, w: 1, j: 1}.
2/105
What is prob of picking 1 a, 2 v, and 1 j when four letters picked without replacement from ajjajvjva?
2/21
Calculate prob of picking 1 g and 3 e when four letters picked without replacement from {g: 5, e: 3}.
1/14
Two letters picked without replacement from {z: 4, m: 1, h: 2, g: 3, e: 2}. Give prob of picking 2 h.
1/66
What is prob of picking 1 g and 2 t when three letters picked without replacement from rttrgttrrttggg?
15/91
Calculate prob of picking 1 g, 1 k, and 2 j when four letters picked without replacement from gfgkfjttfjffgffkfff.
1/646
Calculate prob of picking 4 m when four letters picked without replacement from {c: 5, m: 14}.
1001/3876
Calculate prob of picking 2 e and 2 w when four letters picked without replacement from {a: 1, e: 3, w: 4, n: 6}.
18/1001
Three letters picked without replacement from iiqqqqmk. Give prob of picking 2 i and 1 q.
1/14
Four letters picked without replacement from {z: 2, i: 3, o: 3, q: 5}. What is prob of picking 1 i, 2 q, and 1 z?
12/143
Four letters picked without replacement from {d: 10, i: 3, p: 2}. What is prob of picking 2 d and 2 p?
3/91
Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {h: 3, g: 1}.
1/2
Two letters picked without replacement from {m: 5, k: 1, c: 3, z: 2, h: 1, f: 1}. Give prob of picking 1 m and 1 z.
5/39
Two letters picked without replacement from hkchoocohwocbbk. What is prob of picking 1 w and 1 h?
1/35
Two letters picked without replacement from vxyyixhk. What is prob of picking 1 x and 1 i?
1/14
What is prob of picking 3 a when three letters picked without replacement from {l: 1, j: 5, g: 1, a: 5}?
1/22
Two letters picked without replacement from jljljjjjljj. What is prob of picking 1 j and 1 l?
24/55
What is prob of picking 2 r when two letters picked without replacement from rurrrrruuurrrr?
45/91
What is prob of picking 1 w, 1 e, and 2 y when four letters picked without replacement from yywytyyyewyyewyqwqe?
36/323
Two letters picked without replacement from sgkbb. Give prob of picking 2 s.
0
Three letters picked without replacement from {u: 1, d: 2, t: 1, n: 1, g: 2, o: 2}. Give prob of picking 1 o, 1 t, and 1 n.
1/42
Three letters picked without replacement from dvcdzcdzzcdzzw. Give prob of picking 1 d, 1 w, and 1 z.
5/91
Two letters picked without replacement from {j: 2, c: 4, t: 2, e: 2, i: 2, y: 2}. What is prob of picking 2 c?
6/91
Two letters picked without replacement from fzsnffz. What is prob of picking 1 n and 1 z?
2/21
Calculate prob of picking 1 g, 1 b, and 2 s when four letters picked without replacement from ygvssbybbvgbg.
12/715
Three letters picked without replacement from oooooooooo. Give prob of picking 3 o.
1
Calculate prob of picking 1 f, 1 r, and 2 o when four letters picked without replacement from {r: 4, o: 8, f: 2, v: 2}.
8/65
Two letters picked without replacement from nnwzyznzuff. Give prob of picking 1 f and 1 w.
2/55
Three letters picked without replacement from {h: 15, w: 4}. What is prob of picking 2 h and 1 w?
140/323
Three letters picked without replacement from {b: 4, k: 1, u: 1, d: 3, o: 6}. Give prob of picking 3 b.
4/455
What is prob of picking 1 k and 1 i when two letters picked without replacement from ikyy?
1/6
Two letters picked without replacement from {e: 3, y: 2, g: 10}. Give prob of picking 2 e.
1/35
Three letters picked without replacement from {k: 2, s: 5}. Give prob of picking 1 k and 2 s.
4/7
Two letters picked without replacement from {f: 1, r: 4, v: 1, p: 5}. Give prob of picking 1 v and 1 r.
4/55
Calculate prob of picking 2 l when two letters picked without replacement from ewell.
1/10
Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {q: 7, k: 4, j: 6}.
21/340
Three letters picked without replacement from ddddtttddtdt. What is prob of picking 3 d?
7/44
Calculate prob of picking 1 i and 1 x when two letters picked without replacement from ziyxyizxyyxxjxxx.
7/60
What is prob of picking 2 g when two letters picked without replacement from {e: 4, g: 2}?
1/15
Two letters picked without replacement from zphjwtp. What is prob of picking 1 z and 1 h?
1/21
Three letters picked without replacement from ffaffagcccfgfag. What is prob of picking 2 a and 1 g?
9/455
Two letters picked without replacement from {s: 1, r: 7, g: 1, l: 6, m: 2}. Give prob of picking 1 r and 1 s.
7/136
Two letters picked without replacement from {v: 4, s: 3, b: 4}. Give prob of picking 1 b and 1 v.
16/55
Four letters picked without replacement from {y: 5, h: 4, g: 2, a: 5, s: 3}. What is prob of picking 3 a and 1 s?
5/646
What is prob of picking 2 u and 2 d when four letters picked without replacement from {g: 4, u: 2, j: 2, n: 3, d: 7}?
7/1020
Two letters picked without replacement from {o: 8, j: 7, r: 3}. Give prob of picking 2 j.
7/51
Two letters picked without replacement from {u: 1, c: 2, o: 1, r: 1, n: 1, p: 1}. Give prob of picking 1 n and 1 o.
1/21
What is prob of picking 2 a when two letters picked without replacement from jaajjaajaaa?
21/55
Four letters picked without replacement from qqaqqaqqqqaaaaaaara. What is prob of picking 3 a and 1 r?
10/323
Calculate prob of picking 3 w and 1 t when four letters picked without replacement from {t: 1, j: 4, w
|
{
"pile_set_name": "DM Mathematics"
}
|
ge 16*d**2 + 16*d - 5 - 37*d - 2*d**2 + 5 to the form n*d**2 + y + b*d and give b.
-21
Express 68*k + 9*k + 53*k - 2*k - 10*k in the form w*k + f and give w.
118
Express 2 - 37*g**2 - 23*g**2 - 19*g + 17*g as w*g + p*g**2 + f and give p.
-60
Express 180*v - 76*v - 219 - 106*v in the form x*v + b and give x.
-2
Rearrange 10696*l**3 - 2 - l**2 - 10170*l**3 + 4 to the form k*l + m + v*l**3 + a*l**2 and give m.
2
Rearrange 53*d - 57*d + 2*d**3 + 0 + 1 + 3*d**2 to l*d + s*d**2 + f + n*d**3 and give f.
1
Rearrange 42*b + 21*b + 11*b + 14*b - 15*b to x*b + j and give x.
73
Express 39*l**3 - 38*l**3 + 4*l + 1734 - 1715 as i*l**2 + n*l + y*l**3 + q and give q.
19
Express 96*j - 29*j - 4 - 43*j in the form o + c*j and give c.
24
Rearrange -11*n**2 + 7*n - 7*n - 62*n**2 + 4*n to g*n**2 + m + i*n and give g.
-73
Express -3 - 3*g**3 + 109*g**2 - 108*g**2 + 14*g**3 in the form u*g**3 + y*g + c*g**2 + p and give u.
11
Rearrange -3 - 2*y + 3 - 7*y + 4*y - 3*y + (y - y - y)*(3 - 2 + 0) + 0 + 0 - y + (-2*y + 2*y + 4*y)*(1 - 1 - 3) to q*y + m and give q.
-22
Rearrange (-184 - 194 - 154)*(5*r - 4*r + 0*r) to the form n + t*r and give t.
-532
Express -264*i**2 + 924431 - 924431 in the form b*i + u*i**2 + l and give u.
-264
Rearrange -9 + 0 + 5137*v**3 - 5136*v**3 - 3*v**4 to z + d*v**3 + c*v + a*v**2 + b*v**4 and give d.
1
Express -3*d**2 - 5*d**3 + 5*d + 2*d**4 - 5*d + 4*d**2 + 36*d**3 in the form y + m*d**2 + j*d**3 + r*d**4 + b*d and give m.
1
Rearrange (-7 + 10*l + 7)*(4 - 4 + 3*l) - 2*l**2 - 9*l**2 + 2*l**2 to the form i*l**2 + y*l + k and give i.
21
Rearrange 167 + 18*u - 336 + 167 to the form p + c*u and give p.
-2
Express -1161*p - 191*p + 727*p - 721*p in the form h*p + u and give h.
-1346
Rearrange 20 - 104*z**2 - 20 - 584*z**2 + 89*z**2 to the form g*z**2 + h*z + a and give a.
0
Rearrange -29*v - 19*v**2 + 57*v - 31*v to the form q + b*v**2 + r*v and give r.
-3
Express (-33 + 5*u + 33)*(-40 - 16 + 22) in the form l*u + n and give l.
-170
Rearrange -38 + 281*w**2 + 276*w**2 - 560*w**2 to the form l*w**2 + k + u*w and give l.
-3
Rearrange -26*d - 11 - 10*d**2 - 2*d**2 + 27*d - 20 - 20 to the form z + l*d + c*d**2 and give z.
-51
Rearrange -211*z**2 - 151*z**2 + 448*z**2 - 1 + (-4 + 3 - 1)*(0*z**2 - 3*z**2 + 2*z**2) to f*z**2 + w + h*z and give f.
88
Rearrange 50*o + 20*o - 13*o + 3 + 0 to g + l*o and give l.
57
Express 2 + 4*o**2 - 1 - 115*o + 15*o**4 - 17*o**4 + 118*o in the form a*o + w*o**3 + d + l*o**4 + f*o**2 and give a.
3
Rearrange 3*d**4 + 4*d**4 - 4*d**4 + 13*d**4 + 67*d**4 + 8*d**4 + (2 - 2*d - 2)*(-2 - d**3 + 2) to v*d**2 + u*d**3 + g*d + r + a*d**4 and give a.
93
Express (496*k**2 + 2 - 498*k**2 - 23*k + 7*k)*(-9*k - 10 + 10) as t*k**3 + j + l*k + g*k**2 and give g.
144
Express -10*r + 3*r + 22*r**2 + r**4 + 9*r as b + w*r**2 + n*r**4 + a*r + d*r**3 and give n.
1
Rearrange -70*y**2 - 485*y**2 + 1447*y**2 to the form f + n*y**2 + g*y and give n.
892
Express -642*u**2 - 152*u**3 + 638*u**2 + 23*u**3 - 2*u**3 in the form s*u + j + y*u**3 + c*u**2 and give c.
-4
Express (-25*u**2 - 11*u**2 + 4*u**2 + (5*u - 6*u + 2*u)*(2*u + 0 + 0))*(-4 + 4 + 10*u**2) as j*u + v + x*u**4 + m*u**3 + o*u**2 and give x.
-300
Express (8*c**2 + 14*c**2 + c**2)*(-1 - 3 + 6)*(-6 - 5 + 3) as v*c**2 + a + j*c and give v.
-368
Rearrange 16*g**2 - 49*g**3 - 21*g**3 - g**4 - 2*g + 70*g**3 + 7*g**4 to t + m*g**3 + o*g**2 + x*g + q*g**4 and give q.
6
Rearrange -1 - 12*z**4 - 30*z**4 + 66*z**4 - 56*z**4 + z - 2*z**2 - 134*z**4 to the form p*z**4 + t*z**3 + r*z**2 + f*z + a and give p.
-166
Rearrange 146*a**2 - a - 25 - 148*a**2 + 2*a**4 + 3*a to r*a + y*a**2 + w*a**3 + t + f*a**4 and give t.
-25
Express 2*t**3 + 2*t - 51 + 69 - 7*t**4 + 10*t**4 as p*t + j*t**2 + o + d*t**4 + v*t**3 and give v.
2
Express 3*x - 23 - 25 + 80 - 28 as v*x + o and give o.
4
Rearrange 8*h**3 + 46 + 12*h**3 - 44 to the form u*h**3 + p + b*h**2 + c*h and give p.
2
Rearrange 0*r**3 + 11*r**3 + 12 - 9*r**3 - 57 - 35 to the form g*r + t + b*r**3 + k*r**2 and give b.
2
Express -61*q - 232*q + 9*q + (1 + 1 - 1)*(-q + q + 2*q) as x + o*q and give o.
-282
Rearrange (2*p - 4*p - 5*p)*(7*p**3 - 30*p**3 + 13*p**3) - 5*p**3 + 2*p**4 - 3*p**4 + 4*p**3 to the form v + d*p**3 + k*p**2 + s*p + w*p**4 and give d.
-1
Express -12*m**3 + 3*m**2 - 3*m**2 - 2*m**2 + 5*m + 4*m**2 in the form l*m**3 + v*m**2 + b*m + q and give l.
-12
Express -u**2 - 182 - 309 - 8*u**2 + 0*u**2 + 7*u**2 as m*u + p*u**2 + o and give o.
-491
Rearrange (-4 - 1 + 4)*(8 - 7 - 2 + (-5 + 4 + 0)*(0 + 1 + 2))*(0*h + 0*h + h + (7 - 3 + 5)*(2*h + 0 + 0)) to the form q + w*h and give w.
76
Express 3 + 947*o**2 - 1 - 1103*o**2 in the form s + c*o + l*o**2 and give s.
2
Rearrange ((5 - 4 + 1)*(-1 + 1 + w) + (0*w - 3*w + 2*w)*(-3 + 0 + 1) + w - w - w)*(-28*w - 59*w + 141*w) to the form a*w + j + q*w**2 and give q.
162
Rearrange (104 - 102 + 4*g + 2*g)*(7 - 16 - 15)*(-2*g**3 - 3*g**3 + 4*g**3) to the form b*g**2 + k*g + l*g**3 + z + s*g**4 and give s.
144
Rearrange 262*c + 594*c + 106*c to the form q + p*c and give p.
962
Rearrange (-2*g + 0 + 1 - 3)*(3 - 4 + 4)*(-2*g + 6*g - 17*g) to q + k*g + a*g**2 and give k.
78
Express -134 - 18*o**2 - o**3 + 142 + 16*o**2 - 4*o as b*o + f + r*o**2 + k*o**3 and give k.
-1
Rearrange (-24*w + 647 - 647)*(-11*w**2 + 3*w**2 - 3*w**2) + (4*w**2 - w**2 - 5*w**2)*(0 + 2*w + 0) - 2*w - w**3 + 2*w to o*w**2 + t*w + b*w**3 + a and give b.
259
Rearrange (-482 + 392 - 491)*(2*n**4 + 3*n**4 - 4*n**4) to f*n**4 + a*n + v + d*n**2 + h*n**3 and give f.
-581
Express 3 - 69*c - 53*c + 18*c - 7 in the form o + h*c and give o.
-4
Express (-786*g - 776*g + 1366*g)*(-2*g + 7 - 7) in the form b + r*g + m*g**2 and give r.
0
Rearrange (-2 + 2 + 2)*(-2 - 6 - 3)*(14*d**4 - 17*d**2 + 17*d**2) + 3*d**4 + 2*d**4 - 4*d**4 to the form j*d + h*d**3 + i*d**2 + y*d**4 + k and give y.
-307
Rearrange (1 - 4 + 1)*(425 + 413 - 838 + 6897*p) + p - 3*p + 0*p to b + j*p and give j.
-13796
Express r**3 - 2*r**3 - 75 + 3*r**4 + 2453*r - 2452*r in the form l*r**3 + a + h*r**4 + q*r**2 + b*r and give l.
-1
Express (0 + s + 0)*(-234 + 4745 + 2907 + 122) as h + u*s and give h.
0
Express (u**2 + 0*u**2 - 3*u**2)*(2 + 0 + 1) - 8 - 9*u**2 + 8 - 7*u**2 - u**2 + u**2 as y + p*u**2 + q*u and give q.
0
Rearrange 26 + 4*k + 2*k**3 + 2*k + 10 + 14*k - 8*k to z + b*k + n*k**2 + l*k**3 and give n.
0
Express -1 - 18517*r**3 + 1 + 18423*r**3 - 6*r in the form l*r + u*r**2 + q*r**3 + m and give q.
-94
Rearrange (-296 + 147 + 18)*(1 - 2*x - 1)*(-2*x + 2*x + x) to the form t*x**2 + s + m*x and give t.
262
Express (19 - 74 + 37)*(-9*k - 84 + 84) as j*k + w and give j.
162
Rearrange -4*y**2 + 3*y**2 + y**4 - 344*y - 2 - y**4 + 343*y - 6*y**4 to u*y + j*y**4 + g*y**3 + t + s*y**2 and give u.
-1
Rearrange -6*b**3 + b + 25*b**3 + 1 - 3*b - 2*b**4 + 0*b + 2*b**2 to the form c*b**2 + s + r*b**3 + d*b**4 + x*b and give s.
1
Express (-18 - 14 + o + 12)*(2*o**2 + 21*o**3 - 28*o**3 + 72*o**3) in the form h*o + s*o**4 + q*o**3 + w*o**2 + d and give w.
-40
Rearrange 52*j**3 - 2*j**4 + 430*j**2 - 50*j**3 + 3*j - 431*j**2 - 1 to y*j**3 + m*j**2 + u*j**4 + r + k*j and give k.
3
Rearrange (l + 2 - 2)*(-3 + 3 + 2*l) - 188*l**2 - 601 + 601 to j*l**2 + a*l + t and give j.
-186
Rearrange -32 + 58 - 25 + 30*b**2 to the form p*b**2 + l*b + s and give s.
1
Express (-2 + 2 - 1)*(840*n**2 + 76573*n - 76573*n) - 2 + 2 - 3*n**2 as i*n**2 + g*n + x and give i.
-843
Rearrange -28 + 76 - 24*z - 22 - 22 - 24 to c + k*z and give c.
-20
Express (w**2 + w**2 + 0*w**2)*(18331 + w**2 - 2*w**2 - 18428) in the form u + y*w**4 + g*w**3 + c*w**2 + l*w and give c.
-194
Rearrange 3935*j**2 + 5 - 4137*j**2 - 3 to o + w*j + a*j**2 and give o.
2
Rearrange (7*l - 3253 + 3258 + 25*l)*(0*l + 2*l - l)*(-1 + 2 - 2) to the form z + t*l**2 + m*l and give t.
-32
Express (31 - 32 - 22)*(10 - 17 + 8 + v + (-2 - 1 + 1)*(v - v - 2*v)) in the form o*v + t and give t.
-23
Express 17469 + 48*l + 25*l - 17472 as c*l + x and give x.
-3
Rearrange 6*n**2 + 0*n**2 - 2*n**2 + (-n**2 - 2*n**2 + n**2)*(-3 + 0 + 4) - 7*n**2 + 11*n**2 - 25*n**2 to the form k + m*n**2 + c*n and give m.
-19
Express (-5*f + 5*f + 5*f)*(-2 + 1 + 0)*(-2 - 12 + 6)*(-105 + 105 + 2*f**2) in the form v*f + q*f**2 + i*f**3 + d and give i.
80
Express (-5*q**2 - 14*q**2 - 2*q -
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the third biggest value in -2/3, -9, 2/9, 0.3, -3, 3592, -0.15?
2/9
Which is the third smallest value? (a) 0.9 (b) 247 (c) -91/5
b
Which is the fifth biggest value? (a) 79 (b) -62 (c) -1 (d) 2 (e) 3/11
b
Which is the sixth smallest value? (a) -3429.8 (b) -7 (c) -4 (d) -3 (e) 1 (f) -5 (g) -6
d
What is the smallest value in 3.2, 4043, 0.5, -0.03, -1, 2?
-1
What is the biggest value in -4, -131, 33, 0, 1/2?
33
What is the second smallest value in -0.4, 4/3, 2/3, 1635.6, 3, 0.04, -2/25?
-2/25
Which is the second smallest value? (a) -17 (b) -12 (c) -2 (d) -23/3 (e) 0.7 (f) 4
b
What is the fourth smallest value in -1/21, -1/5, 0.06, -11, 233?
0.06
What is the third biggest value in 325/9, -3, -2/7, 2214?
-2/7
What is the third smallest value in -0.5, 0.04, 10063/33, 2/29?
2/29
What is the fourth smallest value in 1/2, -5, -3, -31, 3, -0.4, 206?
-0.4
What is the fifth smallest value in 0.2, 165577, -3/8, 0.3, -4?
165577
Which is the second biggest value? (a) 2/3 (b) -11 (c) 4 (d) 1683 (e) -457
c
Which is the fourth smallest value? (a) 16225.8 (b) -1/4 (c) 6 (d) 0.3 (e) 0.07
c
What is the fourth smallest value in -6, 85, -2, 1/5, 64, -2/9, 1/2?
1/5
Which is the fourth smallest value? (a) 1/5 (b) -0.0277 (c) 9/10 (d) -0.005
c
What is the fourth smallest value in 0.2, 3, -1.1, -2498?
3
What is the fourth biggest value in 24, -83, 5, -92, 4, 2/9, -5?
2/9
Which is the fourth biggest value? (a) 0.4 (b) 1/3 (c) -4 (d) 5072 (e) 0.05 (f) -1/7 (g) 64
b
Which is the third biggest value? (a) -34 (b) 1 (c) -2 (d) 536 (e) 5 (f) -0.5 (g) 0.5
b
Which is the smallest value? (a) 2/15 (b) -1/8 (c) 0.04 (d) -1 (e) -0.095
d
Which is the smallest value? (a) -9.1 (b) 5 (c) 0.03 (d) 743 (e) -0.5 (f) 2
a
What is the fifth smallest value in 3/13, 26, -0.2, 0.032, 0, 8, -5?
3/13
Which is the smallest value? (a) 11323 (b) 240 (c) 1/8 (d) -0.3
d
What is the smallest value in 0, 1, -40530, 2/19, 2, -2/9, -2/23?
-40530
Which is the second smallest value? (a) -9116315 (b) -2/5 (c) 4 (d) 0.4
b
Which is the fifth smallest value? (a) 2/13 (b) -17 (c) 0 (d) 2 (e) -4 (f) -0.1 (g) 7
a
Which is the smallest value? (a) -0.3 (b) -3/5 (c) 1/5 (d) -5 (e) 4 (f) 8 (g) -0.352
d
Which is the second biggest value? (a) 4/19 (b) -1/3 (c) 8 (d) 676 (e) -2 (f) -3
c
Which is the fourth biggest value? (a) -2/3 (b) -0.066 (c) 5.2 (d) -3/4 (e) -13
d
Which is the fifth smallest value? (a) 2501 (b) -0.21 (c) -2/7 (d) 5 (e) 2/17
a
Which is the fourth smallest value? (a) 8 (b) 3 (c) 2 (d) 5 (e) -10/3 (f) 0.077 (g) -0.1
c
Which is the third smallest value? (a) 3095/11 (b) -4 (c) 0.02
a
Which is the fifth smallest value? (a) 0.4 (b) 0 (c) -5.3 (d) 0.067 (e) 506
e
What is the biggest value in 2996, -0.1, -3.38?
2996
Which is the sixth biggest value? (a) -1 (b) 0.5 (c) -3 (d) 0.4 (e) 4 (f) -267.315
f
Which is the biggest value? (a) -24780 (b) -16.98 (c) -0.3
c
What is the smallest value in -78953, -1/128, 3/7?
-78953
Which is the second smallest value? (a) -0.3 (b) 3 (c) -702 (d) 2/15 (e) -1 (f) 1.5 (g) 0.4
e
What is the smallest value in 167, -0.1, 2.05, 3?
-0.1
What is the second biggest value in 2.16, -30, -2, -1, 10, 1/3?
2.16
Which is the smallest value? (a) 0.1 (b) -7/20 (c) 0.02 (d) 8/7 (e) 0.5 (f) 5 (g) -2
g
Which is the fifth biggest value? (a) -1/12 (b) -3 (c) -5 (d) -3/2 (e) 3 (f) 3/6674
b
Which is the fifth biggest value? (a) 0.1 (b) 2/15 (c) -0.13715 (d) 0.3 (e) -0.1
c
Which is the second smallest value? (a) -1 (b) 4 (c) 389 (d) 2 (e) 0 (f) -13/8
a
Which is the smallest value? (a) 53 (b) 176.9 (c) 266
a
Which is the second biggest value? (a) -3.75 (b) 1/3 (c) 796 (d) 4/5
d
What is the third biggest value in 10/9, 14/23, 24, 1/3?
14/23
What is the third smallest value in 2/9095, -2/13, -245?
2/9095
What is the smallest value in -0.5, -4, 10/373, -2, -116?
-116
Which is the sixth smallest value? (a) -1 (b) 0.1 (c) 0 (d) -2 (e) 84.7 (f) 3 (g) -231
f
What is the fourth biggest value in 0, 4, 0.9, 0.5, -269/49, 0.3?
0.3
Which is the second smallest value? (a) -1.7 (b) -4 (c) 2/7 (d) 0.3 (e) -33/32 (f) -1/4
a
What is the smallest value in 0.1, 774, 0.1085?
0.1
Which is the smallest value? (a) -2/11 (b) -6 (c) 65 (d) 0.2 (e) 1/2 (f) 0.3
b
What is the third smallest value in 38, -0.308, -1/2, 172?
38
Which is the biggest value? (a) 33 (b) 3/2 (c) -4/16121 (d) -2/17 (e) 1/3 (f) -3
a
Which is the fifth smallest value? (a) -4 (b) 7/8 (c) 29 (d) 4/7 (e) 1/322
c
What is the fifth biggest value in 2/9, -3/5, -2203, -2/7, -15?
-2203
What is the biggest value in 7, 239.1, -5, 5/3?
239.1
Which is the second biggest value? (a) 391 (b) 89/12 (c) 36 (d) -0.1
c
What is the second biggest value in -1/6, 230.55, -2571?
-1/6
What is the fourth smallest value in 0.3, 5/37, -5/4, 0.1, -1, -0.4?
0.1
Which is the fourth biggest value? (a) 15 (b) -7190 (c) 4 (d) -1/10 (e) 0
d
What is the smallest value in 1, 161/10, 4925?
1
What is the biggest value in -1350, 0.2, 1/8, -110, -5?
0.2
Which is the second smallest value? (a) 7501 (b) -1180 (c) -0.1
c
Which is the fourth smallest value? (a) 4 (b) 1 (c) 59996/17 (d) -1 (e) -9
a
Which is the sixth biggest value? (a) 4.3 (b) 2 (c) -0.3 (d) 7 (e) 21 (f) 13
c
Which is the fourth biggest value? (a) 248/11 (b) 0.08 (c) -7 (d) -0.1
c
Which is the smallest value? (a) 16263 (b) 0.1 (c) 2/7 (d) 0.18
b
What is the fourth smallest value in 0, -1467, 2/15, -4/13, -4, 3?
0
What is the second biggest value in -1/32479, 0.4, 0.06?
0.06
Which is the second smallest value? (a) -35058 (b) -984 (c) -12
b
What is the third biggest value in 0.37759, 1/9, 0.16?
1/9
Which is the fourth biggest value? (a) -0.0971 (b) 15 (c) 0.08 (d) -2 (e) -4
d
What is the biggest value in 9, -0.15, -4, -3/4229?
9
Which is the sixth smallest value? (a) 5 (b) 4 (c) 5/4 (d) -2/35 (e) 3 (f) 405
f
Which is the sixth biggest value? (a) -7 (b) 0.3 (c) 2/7 (d) 24 (e) -0.1 (f) -4 (g) -40
a
What is the biggest value in 2, -8/2813, 177?
177
What is the second biggest value in 1, -1/4, -1, -0.4, -91818.5, -0.3?
-1/4
Which is the fourth smallest value? (a) 0.086 (b) -2/15 (c) 0 (d) -68/37
a
What is the fourth biggest value in -4, 4, 6366, 0.2, 32?
0.2
Which is the fourth smallest value? (a) 0.4 (b) 1 (c) 0.5 (d) -3565/11
b
What is the third biggest value in -0.3, -1/2, 1.9370618?
-1/2
What is the second smallest value in -2.103, 1.9, 0.1155?
0.1155
Which is the fourth smallest value? (a) 4.069 (b) 8 (c) -2 (d) 968/7
d
What is the third smallest value in -0.5, 4, -4/7, -1.5, 1.1, 3.2?
-0.5
What is the fourth smallest value in 686, -7/4, -2368, -0.4?
686
Which is the second smallest value? (a) -3 (b) 5 (c) -36/8275 (d) -0.5 (e) 4/9
d
What is the smallest value in -2/60817, 197, 28?
-2/60817
What is the fourth smallest value in 0, 0.16, 188, 4/11, -32, -1/4?
0.16
What is the fourth smallest value in 0.1, -0.0214, -5231, 3?
3
Which is the second smallest value? (a) 47 (b) 10 (c) -2/136585
b
What is the fourth smallest value in 5, 2, 2/19, -0.3, 0.06452, -2/21?
2/19
What is the third biggest value in 2152, 20.35, -4?
-4
What is the fourth smallest value in -181799, 3, 1/6, -1/3?
3
What is the second smallest value in 3, -97, -12, -9/265, 7?
-12
Which is the third smallest value? (a) 5886 (b) 1/119 (c) -10 (d) 5/3
d
Which is the smallest value? (a) -4 (b) 684594 (c) 8 (d) 5
a
What is the third biggest value in -28076/7, 6, 12/53?
-28076/7
What is the third smallest value in -1/3, -60365380, 1/9?
1/9
Which is the third biggest value? (a) 188.546 (b) -0.3 (c) -0.35 (d) 1
b
Which is the second biggest value? (a) 4 (b) 2/5 (c) 1/37 (d) -1.6 (e) -2/7 (f) -2209 (g) 1
g
What is the third smallest value in 96.2, -3.5, -592/11?
96.2
Which is the fifth biggest value? (a) 3 (b) 17 (c) -2 (d) 2/21 (e) 187
c
What is the fifth smallest value in -15, 11/3, -0.2, 1/6, -9, -2/9, 13?
1/6
Which is the fourth smallest value? (a) -0.3 (b) 0.8 (c) -9/4 (d) -2/7 (e) 6 (f) -78 (g) -1/4
d
Which is the fourth biggest value? (a) -14468/13 (b) 0.4 (c) -352 (d) 1
a
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
tween 6:18 AM and 12:32 PM?
374
What is 689 minutes after 4:54 PM?
4:23 AM
How many minutes are there between 4:06 AM and 8:31 AM?
265
How many minutes are there between 5:32 PM and 5:43 PM?
11
How many minutes are there between 3:42 PM and 10:52 PM?
430
What is 2 minutes before 4:42 PM?
4:40 PM
How many minutes are there between 4:57 PM and 12:39 AM?
462
How many minutes are there between 1:06 PM and 4:23 PM?
197
How many minutes are there between 2:34 AM and 6:43 AM?
249
How many minutes are there between 9:13 PM and 4:37 AM?
444
How many minutes are there between 1:41 AM and 2:25 AM?
44
How many minutes are there between 10:10 PM and 1:34 AM?
204
How many minutes are there between 11:39 AM and 9:21 PM?
582
How many minutes are there between 9:29 AM and 7:05 PM?
576
What is 652 minutes after 5:25 AM?
4:17 PM
What is 526 minutes after 5:57 AM?
2:43 PM
What is 398 minutes after 6:50 AM?
1:28 PM
How many minutes are there between 11:07 PM and 2:24 AM?
197
What is 11 minutes before 8:35 PM?
8:24 PM
How many minutes are there between 6:37 PM and 6:43 PM?
6
How many minutes are there between 5:20 PM and 5:45 PM?
25
What is 149 minutes after 3:43 AM?
6:12 AM
What is 400 minutes after 12:37 PM?
7:17 PM
How many minutes are there between 10:27 PM and 10:22 AM?
715
What is 110 minutes after 1:22 PM?
3:12 PM
How many minutes are there between 12:09 AM and 6:47 AM?
398
What is 693 minutes after 10:45 PM?
10:18 AM
What is 77 minutes after 12:30 PM?
1:47 PM
What is 181 minutes before 6:23 AM?
3:22 AM
How many minutes are there between 6:08 AM and 5:17 PM?
669
How many minutes are there between 4:39 AM and 12:04 PM?
445
How many minutes are there between 7:59 PM and 7:06 AM?
667
What is 130 minutes before 8:17 PM?
6:07 PM
How many minutes are there between 9:06 AM and 8:38 PM?
692
How many minutes are there between 7:29 AM and 9:10 AM?
101
How many minutes are there between 10:46 PM and 2:52 AM?
246
How many minutes are there between 7:37 PM and 5:32 AM?
595
What is 76 minutes before 4:16 AM?
3:00 AM
What is 310 minutes after 8:26 AM?
1:36 PM
What is 107 minutes after 1:36 PM?
3:23 PM
What is 623 minutes after 9:19 PM?
7:42 AM
What is 429 minutes before 5:13 AM?
10:04 PM
What is 394 minutes before 7:48 AM?
1:14 AM
What is 254 minutes after 9:33 AM?
1:47 PM
How many minutes are there between 3:15 AM and 2:17 PM?
662
How many minutes are there between 10:21 PM and 1:50 AM?
209
What is 643 minutes after 12:20 AM?
11:03 AM
What is 12 minutes before 8:35 AM?
8:23 AM
What is 303 minutes before 5:02 PM?
11:59 AM
What is 679 minutes before 1:21 PM?
2:02 AM
How many minutes are there between 2:12 AM and 9:51 AM?
459
How many minutes are there between 8:25 PM and 1:43 AM?
318
What is 345 minutes before 10:18 AM?
4:33 AM
How many minutes are there between 8:42 AM and 9:15 AM?
33
How many minutes are there between 12:52 AM and 3:24 AM?
152
What is 689 minutes before 8:29 AM?
9:00 PM
How many minutes are there between 8:09 AM and 4:55 PM?
526
What is 526 minutes after 2:59 PM?
11:45 PM
What is 313 minutes after 11:00 PM?
4:13 AM
What is 341 minutes before 7:12 PM?
1:31 PM
How many minutes are there between 6:19 AM and 12:58 PM?
399
How many minutes are there between 4:33 PM and 3:25 AM?
652
What is 388 minutes before 3:24 AM?
8:56 PM
What is 553 minutes before 10:00 AM?
12:47 AM
What is 332 minutes after 2:16 PM?
7:48 PM
What is 432 minutes before 8:20 AM?
1:08 AM
How many minutes are there between 3:45 AM and 10:57 AM?
432
What is 252 minutes before 2:56 AM?
10:44 PM
What is 244 minutes before 10:22 PM?
6:18 PM
What is 167 minutes before 11:35 PM?
8:48 PM
What is 317 minutes before 6:23 PM?
1:06 PM
How many minutes are there between 9:22 PM and 7:00 AM?
578
What is 315 minutes after 5:11 AM?
10:26 AM
What is 402 minutes after 4:05 AM?
10:47 AM
What is 665 minutes after 5:31 AM?
4:36 PM
What is 547 minutes before 6:13 PM?
9:06 AM
How many minutes are there between 8:49 AM and 1:01 PM?
252
What is 661 minutes after 9:35 AM?
8:36 PM
What is 153 minutes after 8:36 AM?
11:09 AM
What is 142 minutes before 10:42 PM?
8:20 PM
What is 171 minutes after 7:34 PM?
10:25 PM
What is 418 minutes after 3:13 AM?
10:11 AM
How many minutes are there between 11:57 PM and 5:06 AM?
309
How many minutes are there between 9:04 PM and 1:56 AM?
292
How many minutes are there between 11:26 PM and 8:39 AM?
553
How many minutes are there between 9:28 PM and 12:01 AM?
153
What is 209 minutes after 4:35 AM?
8:04 AM
How many minutes are there between 7:32 AM and 11:43 AM?
251
How many minutes are there between 8:16 PM and 11:53 PM?
217
How many minutes are there between 6:06 AM and 10:26 AM?
260
How many minutes are there between 2:59 AM and 7:23 AM?
264
How many minutes are there between 9:10 PM and 12:37 AM?
207
What is 662 minutes after 8:53 AM?
7:55 PM
What is 342 minutes after 1:30 AM?
7:12 AM
How many minutes are there between 8:23 PM and 3:24 AM?
421
How many minutes are there between 2:31 AM and 8:25 AM?
354
What is 423 minutes before 7:44 AM?
12:41 AM
What is 120 minutes after 9:07 PM?
11:07 PM
What is 685 minutes after 12:54 AM?
12:19 PM
What is 685 minutes after 11:00 PM?
10:25 AM
What is 466 minutes before 7:15 PM?
11:29 AM
What is 676 minutes after 2:32 AM?
1:48 PM
What is 421 minutes after 4:40 PM?
11:41 PM
How many minutes are there between 7:16 PM and 8:46 PM?
90
What is 620 minutes before 8:41 PM?
10:21 AM
How many minutes are there between 7:11 AM and 11:48 AM?
277
What is 277 minutes after 3:53 AM?
8:30 AM
How many minutes are there between 5:58 AM and 2:19 PM?
501
What is 71 minutes before 7:23 AM?
6:12 AM
How many minutes are there between 1:01 PM and 12:32 AM?
691
What is 387 minutes after 1:40 PM?
8:07 PM
What is 300 minutes before 12:57 AM?
7:57 PM
What is 170 minutes before 11:20 PM?
8:30 PM
How many minutes are there between 5:47 PM and 9:14 PM?
207
How many minutes are there between 8:41 AM and 8:52 AM?
11
What is 535 minutes after 10:39 PM?
7:34 AM
How many minutes are there between 3:37 AM and 9:31 AM?
354
What is 556 minutes after 6:39 PM?
3:55 AM
What is 503 minutes after 5:42 AM?
2:05 PM
How many minutes are there between 12:20 AM and 4:50 AM?
270
How many minutes are there between 8:24 PM and 4:29 AM?
485
What is 376 minutes after 5:03 AM?
11:19 AM
What is 702 minutes before 12:57 PM?
1:15 AM
What is 446 minutes after 2:48 AM?
10:14 AM
What is 428 minutes before 7:00 PM?
11:52 AM
How many minutes are there between 7:34 AM and 10:56 AM?
202
What is 9 minutes before 6:16 PM?
6:07 PM
How many minutes are there between 2:51 AM and 10:41 AM?
470
What is 652 minutes after 2:16 PM?
1:08 AM
What is 596 minutes after 4:37 PM?
2:33 AM
How many minutes are there between 11:55 AM and 3:00 PM?
185
What is 708 minutes before 2:24 PM?
2:36 AM
What is 672 minutes before 1:21 AM?
2:09 PM
How many minutes are there between 4:00 AM and 9:15 AM?
315
What is 42 minutes before 11:53 PM?
11:11 PM
What is 703 minutes before 3:58 PM?
4:15 AM
What is 141 minutes after 12:23 AM?
2:44 AM
What is 110 minutes before 1:29 PM?
11:39 AM
How many minutes are there between 7:12 PM and 3:39 AM?
507
How many minutes are there between 6:15 PM and 1:51 AM?
456
What is 706 minutes before 5:27 AM?
5:41 PM
How many minutes are there between 8:08 PM and 7:54 AM?
706
What is 592 minutes after 5:26 AM?
3:18 PM
How many minutes are there between 8:05 AM and 7:50 PM?
705
How many minutes are there between 10:13 PM and 6:24 AM?
491
What is 115 minutes after 6:31 AM?
8:26 AM
What is 203 minutes after 2:28 AM?
5:51 AM
What is 121 minutes after 7:16 PM?
9:17 PM
What is 62 minutes before 6:44 AM?
5:42 AM
What is 456 minutes before 10:00 PM?
2:24 PM
How many minutes are there between 6:30 PM and 4:35 AM?
605
What is 677 minutes after 9:39 AM?
8:56 PM
How many minutes are there between 5:22 PM and 10:59 PM?
337
What is 115 minutes before 8:19 PM?
6:24 PM
How many minutes are there between 8:33 AM and 1:24 PM?
291
How many minutes are there between 6:29 AM and 4:01 PM?
572
How many minutes are there between 1:59 AM and 2:18 AM?
19
How many minutes are there between 12:30 AM and 4:25 AM?
235
What is 345 minutes before 4:43 AM?
10:58 PM
How many minutes are there between 11:59 PM and 1:42 AM?
103
How many minutes are t
|
{
"pile_set_name": "DM Mathematics"
}
|
the smallest value in 1, b, -4/3, 0?
-4/3
Suppose -518 = -4*d + 302. Suppose 3*j = -2*j - d. Which is the third smallest value? (a) 2 (b) j (c) 5
c
Let n be 16/4 + -1 + 2 + -1. Which is the fourth biggest value? (a) n (b) -1/2 (c) 0.3 (d) -2/13
b
Let q(m) = -47*m**3 - 2*m**2 - 2*m - 1. Let j be q(-1). Let c = -228/5 + j. What is the fourth smallest value in 3, c, -1/4, 2/13?
3
Let y = 1.01 - -1.99. What is the third biggest value in 0.002, -0.4, y?
-0.4
Let f(u) = 0 - 3 - 7*u**3 + 7*u + 8*u**2 - 1 + 8*u**3. Let r be f(-5). Let v be 2/(r/(-50)) + 3. Which is the third biggest value? (a) 0 (b) -3/4 (c) v
b
Let w = -553.3 - -553. Which is the third biggest value? (a) -0.12 (b) -6 (c) w (d) 1
c
Let p be -2*-1*5/10. Let c be p*6/21 - 52/(-14). Let d = -0.26 - 0.04. What is the third smallest value in d, c, -4?
c
Let i = 422/5 + -85. Let k be (-2 + 1)*3/8. Let g = 0.0416 + 0.1584. Which is the second smallest value? (a) k (b) i (c) g
a
Let g = -20.07 - -0.07. Let y = -20.1 - g. Which is the second smallest value? (a) 0 (b) y (c) -2
b
Let g(h) = 2*h**2 + 10*h + 3. Let o be g(-6). Let w = o + -3. Suppose z - w = -13. Which is the third smallest value? (a) -2/15 (b) z (c) -0.4
a
Let r = 21.9 + -23. Let d = 0.9601 - -0.0399. Let w = r + d. Which is the biggest value? (a) -17 (b) -0.2 (c) w
c
Let v = 31 - 31.1. Let d = -4 + 0. What is the biggest value in -3, d, v?
v
Suppose 5*p - 35 = -4*u, -13 = 4*p + 4*u - 45. Let x be 6/(3 + -6) - -3. Let j be x/(-6) - (-18)/27. Which is the second smallest value? (a) p (b) -2 (c) j
c
Let p = 3 + -7. Let x = 41/78 + -9/13. Which is the second biggest value? (a) p (b) x (c) -3
c
Let j = -29.4 - -29.5. What is the fourth biggest value in j, -10, 1, -2/9?
-10
Let i = 536 + -545.79. Let r = i + -0.21. Let q = -12 - r. Which is the third smallest value? (a) -8/9 (b) 0 (c) q
b
Let h(k) = k**3 - 10*k**2 - 10*k - 13. Let b be h(11). Let q = 1154 + -1154.1. What is the third biggest value in q, 4/5, b, -1/4?
-1/4
Let f = -25/4 + 27/4. Let i = -0.383 - 0.017. Which is the third smallest value? (a) i (b) 3 (c) f
b
Let g(x) = x**2 - 7. Let r be g(3). Let f = -0.058 + 0.358. Which is the third biggest value? (a) -0.5 (b) r (c) f (d) 0
d
Let g be (-4)/(-6)*(3 - 180/66). Which is the third biggest value? (a) 1/3 (b) g (c) -13
c
Let l = 5.56 - -1.74. Let q = l - 7. What is the third smallest value in 3, q, 1/5?
3
Let x = 209 + -204. Let r = 157/3 - 53. Which is the second biggest value? (a) -1/4 (b) x (c) r
a
Let s = -33/145 - 5/29. Let z be (-3)/30*(1 - 3). What is the biggest value in s, z, -3?
z
Let n = 50.9 + -50.4. Let a = -0.122 - -5.822. Let c = a - 6. What is the smallest value in -1/5, n, c?
c
Let j be 2*(-2)/(-6) + 1. Let s = 2.62 - 3. Let m = s - 0.12. What is the third smallest value in -3, j, m?
j
Suppose 19*h - 20*h - 9 = 5*t, -5*h + 39 = -3*t. What is the third biggest value in 0.6, 0.1, h, 0?
0.1
Let n = -135.1 + 127. Let r = n - 9.9. Let y be ((-2)/(-7))/((-9)/(-21)). Which is the third smallest value? (a) r (b) y (c) 0.2
b
Suppose 26 = p - 0*p. Let z = -25 + p. What is the second smallest value in z, -1/3, 4?
z
Let w = -8.19 - -12.19. Which is the smallest value? (a) -1/6 (b) w (c) -1/2
c
Let z = 69 + -50. Let x = -32 + 8. Let o = x + z. Which is the second biggest value? (a) 1/4 (b) o (c) -11
b
Let i = 65.9 - 199.1. Let c = i + 133. What is the third biggest value in c, 0.2, 0.37?
c
Let z = 263 - 260. Which is the third biggest value? (a) 0 (b) z (c) -0.1 (d) 0.3
a
Let j = -23 - -34. Suppose -4*m + 4*k + 48 = 0, 4 = -3*m - j*k + 6*k. Let z be 2/m + 444/(-84). Which is the third smallest value? (a) -4 (b) -0.03 (c) z
b
Let u = -27 + 27.1. Let r = -2.1 + u. Let a = 4 - 7. What is the third smallest value in r, 2/9, a?
2/9
Let d = -491 - -491.03. Which is the biggest value? (a) -2/9 (b) 1/12 (c) d
b
Let k = 1.3 - 0.3. Let h = -101 - -100.37. Let s = h + -0.37. Which is the smallest value? (a) 4 (b) s (c) k
b
Let z = 5.19 - 0.19. Let i = 9 - z. What is the biggest value in 3, -4/3, i?
i
Let l(w) = 38*w + 2390. Let g be l(-63). Let b = 0 - -1. What is the second biggest value in 2/5, b, g, 4?
b
Let p = 828 - 824. Which is the third smallest value? (a) 10 (b) -1 (c) p
a
Let v be 5/4*2432/760. What is the second biggest value in 355, -4, v?
v
Let t be 26115/(-50)*4/6. Let o = t + 347. Let m = o - -7/5. Which is the third biggest value? (a) m (b) -1/6 (c) 0.3
b
Let r be 2 + 6/((-2)/(-1)). Let l(s) = 6*s + 80. Let v be l(-13). Which is the third biggest value? (a) 4 (b) r (c) v
c
Let k = 1.14 + -1.24. Let r be (-17)/(-5) + (-8)/20. Suppose 0 = 3*o + s - r, 1 = -o + 5*s + 18. Which is the second smallest value? (a) k (b) 5 (c) o
c
Let j = -160 + 159. What is the biggest value in -1/2, -35, 4, j?
4
Let j = -131.9 + 139. Let h = j + -7. Which is the second smallest value? (a) h (b) 4 (c) 1.1
c
Let r = -64.2 - -64.3. Let a = 0.01 + 0.99. What is the fourth smallest value in a, -3, r, 5?
5
Let v = -0.442 - -0.042. Which is the second biggest value? (a) -2/13 (b) -1/4 (c) 5 (d) v
a
Suppose 0 = -5*h + 2*p + 630, -16*h + 11*h + 3*p + 635 = 0. Which is the third smallest value? (a) 2 (b) 0.1 (c) h (d) 1/2
a
Let k = 151 + -148. Suppose 2*o + v + 9 = 0, v = 4*o - 2*v - 7. What is the third smallest value in o, -1, -2/7, k?
-2/7
Let z = 0.9554 + 0.0446. What is the second biggest value in 0.9, z, -5/2?
0.9
Let i = 591/10 - 59. Let q be (-3)/(5 + (-155)/10). Which is the second biggest value? (a) q (b) -3 (c) i
c
Let d = -0.11 + 1.11. Let o = d - 4. Let b = 1 - o. What is the smallest value in -0.2, b, 2/5?
-0.2
Suppose 4*o - 26 = -2*i, -3*i + o = 6*o - 35. Let l = 213 + -216. Let f be 2 - ((-228)/(-27))/4. Which is the second biggest value? (a) l (b) f (c) i
b
Let m = -8 + 11. Suppose 0 = 5*u - 2*o - 2*o - 1, -2*u - m = -5*o. Let a(w) = -w + 2. Let z be a(u). What is the second biggest value in -1.4, z, 0.3?
0.3
Let o = -0.02 + 0.14. Let v = -28 - -27.92. Let w = v - o. Which is the second smallest value? (a) 0.4 (b) w (c) 0
c
Suppose -4*d + 29 = 4*o + 5, 4*d - 10 = 3*o. Suppose -4 = -2*i + o*s - 0*s, 2*i + 2*s + 12 = 0. Which is the third biggest value? (a) i (b) 0.5 (c) 1/6
a
Let q(y) = -y**3 - 5*y**2 + 4*y + 1. Let o be q(-5). Let m = o - -25. Let u be (-27)/(-7) + m + -10. What is the third smallest value in 3/8, u, 2?
2
Let o = 0.19 - -0.13. Let x = 0.62 - o. Let l = -3.5 + 3. What is the third biggest value in l, x, 3?
l
Let r = -4 + 4.15. Let v = r - 0.23. Let m = 0.02 - v. Which is the third biggest value? (a) -0.5 (b) m (c) 2/9
a
Let g = 485.93 - 486. Which is the third biggest value? (a) -1/4 (b) -1/5 (c) g
a
Let p = -27 - -13. Let v = -19 - p. Let n be (1 - 1) + (-1)/(-5). What is the second biggest value in n, v, -1/5?
-1/5
Let z = -108 + 101. Let s be (z - (-896)/152) + 2/19. Let f = 2.96 + 0.04. What is the smallest value in f, s, -3?
-3
Let n be 10/(-6)*2/15. Which is the smallest value? (a) n (b) -0.13 (c) -40
c
Let i be 119/34*((-59)/28 + 2). Let x be (-1)/4 + (-10)/24. Which is the second smallest value? (a) i (b) -1/7 (c) -2/5 (d) x
c
Let m = 232.5 - 0.5. Let o = 215.9 - m. Let n = o - -16. What is the third biggest value in n, -3/8, -5?
-5
Let u = -958 - -957.12. Which is the third biggest value? (a) 4 (b) -2/7 (c) u (d) -5
c
Let u = -4 - -3.6. Let r = -411 + 293. Let i = r + 113. Which is the third smallest value? (a) 4 (b) i (c) u
a
Let n = 16751 - 284769/17. Let h be (-2)/6 - (-1 + 2). Which is the second smallest value? (a) h (b) n (c) -1/3
c
Let o = 0.2 - -0.3. Let a = -578 + 574. What is the second biggest value in a, -3/8, o?
-3/8
Let u = -8.3 - -8. Let w be (-720)/(-775)*(-20)/(-56). Let a = -3/31 - w. What is the third biggest value in -4, a, u?
-4
Let k(h) = h**2 - 10*h + 12. Suppose 0 = 2*s - 8 - 10. Let n be k(s). Let v = -171 - -514/3. What is the biggest value in v, -3/8, n?
n
Suppose -9 + 29 = -2*n. Let r be ((-44)/55)/((-4)/n). Which is the second smallest value? (a) -1/2 (b) 1 (c) r
a
Let z(h) = h**3 - 2*h**2 - h - 4. Let r be z(3). Suppose -t = 1 + r. Let u be (6 + -3)*1/t. Which is the third smallest value? (a) 2/17 (b) u (c) -2/9
a
Let n be 6*(9/(-6))/3. What
|
{
"pile_set_name": "DM Mathematics"
}
|
*3/2 + 2*v. What is the second derivative of g(m) wrt m?
156*m**2
Let p(g) be the third derivative of g**8/56 + 3*g**4/4 + 15*g**2. What is the second derivative of p(j) wrt j?
120*j**3
Let w(v) be the third derivative of 0*v + 0*v**4 + 0 + 1/60*v**6 + 0*v**3 - 1/60*v**5 + v**2. Find the third derivative of w(c) wrt c.
12
Suppose -2*l + 5 = -l. Find the first derivative of 0*u + l*u**4 + 1 + 0*u - 5 wrt u.
20*u**3
Let t(g) be the second derivative of 5*g**7/42 + 3*g**3/2 - 3*g. What is the second derivative of t(d) wrt d?
100*d**3
Suppose -m + 6 = w, m - 3*m = w - 10. Differentiate -8*g - 3 - 2*g**w + 8*g wrt g.
-4*g
Let z be 4/(-12)*6 - (-5 + 0). Let m(u) be the second derivative of -1/4*u**4 + 0*u**2 - 1/6*u**z + u + 0. Find the second derivative of m(r) wrt r.
-6
Suppose 0 = -5*y + y + 8. What is the third derivative of r**y + 3*r**4 - r**3 + r**3 - 4*r**2 wrt r?
72*r
What is the third derivative of -5*r**2 - 21*r**3 + 7*r**2 + 36*r**2 - 12*r**3 wrt r?
-198
Let p(n) be the second derivative of n**8/840 - 3*n**4/8 - 7*n**3/6 - 6*n. Let v(d) be the second derivative of p(d). Differentiate v(r) wrt r.
8*r**3
Suppose -2 = -5*z + g - 6, -3 = -2*z + 5*g. Let s be 26/8 - z/(-4). What is the derivative of 0*b**s + 0*b**3 - 2*b**3 - 1 wrt b?
-6*b**2
Find the first derivative of 1 + 3 - 11*g + 0*g + 5 wrt g.
-11
Let b(n) = 9*n - 4. Let q(h) = -7*h**2 - h - 1. Let m be q(-1). Let f(i) = 10*i - 4. Let l(d) = m*b(d) + 6*f(d). What is the derivative of l(s) wrt s?
-3
Let p(s) = -2*s**5 + 4*s**3 + 8*s. Let h(d) = 3*d**5 - 7*d**3 - 17*d. Let b(c) = 4*h(c) + 7*p(c). Find the second derivative of b(q) wrt q.
-40*q**3
Let y(m) be the first derivative of 5*m**9/504 + m**5/20 + 2*m**2 + 6. Let c(l) be the second derivative of y(l). What is the third derivative of c(n) wrt n?
600*n**3
Let n be (-1)/(1/(-4) - 0). Let l(c) = c**3 - 4*c**2 + 1. Let y be l(n). Differentiate 3*z - 2*z + y - 3 wrt z.
1
Let i(t) = -3*t - 2. Let c(x) = -x - 1. Let k(h) = -5*c(h) + 2*i(h). Find the first derivative of k(m) wrt m.
-1
Let y(w) be the first derivative of 0*w**5 + 0*w**4 + 0*w + 1/3*w**6 - 2/3*w**3 + 0*w**2 + 1. Find the third derivative of y(d) wrt d.
120*d**2
What is the second derivative of 2*h**3 - h**3 + 3*h - 3*h**3 - 7*h wrt h?
-12*h
Let m(t) be the first derivative of t**5/60 - t**4/12 + 3*t**2/2 - 4. Let z(c) be the second derivative of m(c). Find the second derivative of z(l) wrt l.
2
Let p = 7 - 4. Find the third derivative of -3*h**3 + 3*h**3 + 3*h**p - h**3 + 2*h**2 wrt h.
12
Let d(m) be the third derivative of -1/56*m**8 + 0*m**3 + 0*m + 2*m**2 + 0*m**6 + 0*m**4 - 1/30*m**5 + 0 + 0*m**7. What is the third derivative of d(q) wrt q?
-360*q**2
Let a = 66 + -66. Let w(n) be the first derivative of 0*n**4 + 0*n**5 - 2/7*n**7 + a*n + n**3 - 1 + 0*n**6 + 0*n**2. What is the third derivative of w(j) wrt j?
-240*j**3
Find the first derivative of 1 + 34*z**4 - 94*z**4 + 43*z**4 wrt z.
-68*z**3
Let w(d) be the first derivative of 0*d**3 + 0*d - 3/2*d**4 - 11/2*d**2 + 3. What is the second derivative of w(u) wrt u?
-36*u
Suppose -2*m = -7 + 1. Find the second derivative of -2*j**m - 4*j + 8*j - 3*j**3 wrt j.
-30*j
Let b = -3 + 7. What is the first derivative of -3 - 2*i**4 + 0 - 2*i**b + 0 wrt i?
-16*i**3
Let s(l) = 6*l - 1. Let p(z) = -11*z + 2. Let t = -15 - -22. Let d(q) = t*s(q) + 4*p(q). Differentiate d(c) with respect to c.
-2
Let h(i) be the third derivative of 0 - 3*i**2 + 0*i**6 + 1/210*i**7 - 1/2*i**3 + 0*i**4 + 0*i + 0*i**5. Find the first derivative of h(c) wrt c.
4*c**3
Suppose 2*v = -3*p - p + 10, -4 = -2*p - 2*v. Suppose -5 = -c - g, 0 = 5*c - 0*c + g - 13. What is the second derivative of -f**3 + f - c*f - f**p wrt f?
-12*f
Let z(m) be the third derivative of m**5/60 - 7*m**4/24 + 3*m**3/2 - m**2. Let a be z(6). Differentiate -1 - a + 2 - 2*o with respect to o.
-2
Find the third derivative of 0*u**3 - 4*u**2 + 6*u**3 - 3*u**3 + 5*u**3 wrt u.
48
Let k(o) = 35*o**3 + 2*o**2 - 2. Let d(y) = 140*y**3 + 9*y**2 - 8. Let l(s) = 2*d(s) - 9*k(s). Differentiate l(j) wrt j.
-105*j**2
Let z(i) be the second derivative of -i**8/840 - i**5/60 - 3*i**4/4 + i. Let b(t) be the third derivative of z(t). What is the first derivative of b(l) wrt l?
-24*l**2
Suppose j = -0*j - 2*l + 13, 0 = -3*l + 12. Find the third derivative of -3*a**2 - 67*a**5 + j*a**2 + 66*a**5 wrt a.
-60*a**2
Let z be (5 + 1)/(54/36). Let q(h) be the second derivative of -1/10*h**5 + 0*h**2 + 2/3*h**3 + 0*h**z + 0 - 4*h. What is the second derivative of q(b) wrt b?
-12*b
Let s(w) be the third derivative of 1/40*w**6 - w**2 + 0*w**5 + 0*w**3 - 1/12*w**4 + 0*w + 0. Find the second derivative of s(k) wrt k.
18*k
Let p(m) be the first derivative of -m**6/6 - m**2 + 8. What is the second derivative of p(r) wrt r?
-20*r**3
Let z(x) be the third derivative of x**8/2240 - x**5/30 - x**4/24 + 2*x**2. Let u(n) be the second derivative of z(n). Find the first derivative of u(q) wrt q.
9*q**2
Suppose -3*c - 5*a = -0*c - 26, 4*a + 68 = 5*c. Find the second derivative of -c*t + 8*t + t**3 + 2*t + 7*t wrt t.
6*t
Let h(g) be the first derivative of -g**4/2 - 3*g**2/2 + 2. What is the second derivative of h(k) wrt k?
-12*k
Let i(b) = 3*b + 15. Let c(l) = -l - 8. Suppose -9*a - 3 = -10*a. Let v(o) = a*i(o) + 5*c(o). What is the first derivative of v(h) wrt h?
4
Let b(x) = -x**2 + 4*x - 1. Let l be b(3). Find the second derivative of -8*s - s**2 + l*s + 2*s**2 - 7*s**2 wrt s.
-12
What is the first derivative of 0*q**3 + 15 + q**3 - 34 wrt q?
3*q**2
Let p(v) = v**3 - v**2 - v. Let q(s) = -2*s**4 - 11*s**3 + 11*s**2 + 16*s. Let g(o) = -22*p(o) - 2*q(o). What is the second derivative of g(r) wrt r?
48*r**2
Let f(y) = y - 6. Let i be f(6). What is the second derivative of -4*j**5 - 2*j + j + 2*j + i*j wrt j?
-80*j**3
Let k(x) = 42*x**4 - 3*x**3 - 34*x**2. Let j(n) = n**3 + n**2. Let d(l) = -3*j(l) - k(l). What is the third derivative of d(w) wrt w?
-1008*w
Let o(t) be the third derivative of -t**10/37800 + t**6/180 + t**5/20 + t**2. Let g(u) be the third derivative of o(u). Differentiate g(k) wrt k.
-16*k**3
Suppose -3*a - 2*a + 15 = 0. Suppose -5*g + 13 = -2*k, -3*g + 5 = a*k - 7*k. Find the third derivative of -1 + n**5 + k - n**2 wrt n.
60*n**2
Let u = -19 - -19. Find the second derivative of 8*o**3 - 4*o + 0*o**2 + 7*o + u*o**2 wrt o.
48*o
Let t(g) be the third derivative of -17*g**9/252 - g**5/60 - 38*g**2. Find the third derivative of t(d) wrt d.
-4080*d**3
Let s(k) be the second derivative of -3*k**7/14 + 2*k**3/3 + 11*k. What is the second derivative of s(f) wrt f?
-180*f**3
Suppose -3 = 2*v - 13. Differentiate 4*b + 1 + v - 4 wrt b.
4
Find the second derivative of 47*i - 5*i**3 + 34*i**2 - 19*i**3 - 35*i**2 wrt i.
-144*i - 2
Let z(p) be the second derivative of -1/2*p**3 + 3*p + 0*p**2 + 0 - 1/12*p**4. What is the second derivative of z(s) wrt s?
-2
Let v(b) = -24*b + 23. Let a(o) = 36*o - 34. Let i(c) = 5*a(c) + 7*v(c). Differentiate i(m) wrt m.
12
Let k(d) be the second derivative of 0*d**3 + 0 + 0*d**6 + 1/6*d**4 + 1/14*d**7 + 0*d**2 + 0*d**5 - 2*d. What is the third derivative of k(c) wrt c?
180*c**2
What is the third derivative of -7*i**2 + 17*i**5 - 6*i**5 - 4*i**2 wrt i?
660*i**2
What is the third derivative of -13*a**3 + 13*a**3 - 2*a**2 - a**2 - 27*a**4 wrt a?
-648*a
Let t(w) = 4*w + 1. Let z be t(1). What is the second derivative of 2*p + 2*p**5 - 3*p**z + 2*p**5 + 2*p wrt p?
20*p**3
Let p(f) be the third derivative of -29*f**7/210 - 29*f**5/60 - 27*f**2. Find the third derivative of p(u) wrt u.
-696*u
Let l(k) = -k**3 - 6*k. Let p(m) = -4*m**3 - 18*m. Let f(b) = -14*l(b) + 5*p(b). What is the second derivative of f(h) wrt h?
-36*h
Let g(n) be the first derivative of -2*n**5/5 + 7*n**2/2 + 4. What is the second derivative of g(m) wrt m?
-24*m**2
Suppose -u - 1 = -8. Suppose 7 = 3*g - 5. What is the second derivative of 7 - 3*k + g*k**4 - u wrt k?
48*k**2
Find the third derivative of -4*x**2 - 3*x**2 + 5*x**3 - 2*x**3 + 3*x**3 wrt x.
36
Find the third derivative of -3 - 32*y**2 + 3 - 7*y**4 + 29*y**2 wrt y.
-168*y
Let t(x) be the first derivative of 17*x**3/3 - 5*x**2 + 18. Find the second derivative of t(z) wrt z.
34
Let a(b) be the first derivative of b**5/15 - 7*b**3/6 + 9*b**2/2 - 6. Let j(k) be the s
|
{
"pile_set_name": "DM Mathematics"
}
|
27 + 103827 - 6*d**3.
-6*d**3
Collect the terms in -144*j - 22 + 43 - 5 - 16.
-144*j
Collect the terms in 7 - 6 - 231*b**2 - 723*b**2 - 347*b**2.
-1301*b**2 + 1
Collect the terms in -50574*c**2 + 101122*c**2 - 50327*c**2.
221*c**2
Collect the terms in -28*k**3 - 354 + 2*k**3 + 0*k + 0*k + 2*k**2.
-26*k**3 + 2*k**2 - 354
Collect the terms in -11*i - 2 + 3*i + 6*i.
-2*i - 2
Collect the terms in -11*n**3 + 6609*n**2 - 6609*n**2.
-11*n**3
Collect the terms in -6*m - 508*m**3 + 991*m**3 - 482*m**3.
m**3 - 6*m
Collect the terms in -12548*g**2 + 34 - 34.
-12548*g**2
Collect the terms in l**2 - 3148*l + 6229*l - 3081*l - 4*l**2.
-3*l**2
Collect the terms in 47*u**3 + 34*u**3 - 54*u**3.
27*u**3
Collect the terms in -23*a**2 + a**3 - 9*a**2 + 0*a**3 + 2*a**3 + 32*a**2.
3*a**3
Collect the terms in -1314 + 1314 + 52*c.
52*c
Collect the terms in -39094*z**3 - 6134*z**3 + 9819*z**3.
-35409*z**3
Collect the terms in 207*n**3 - 60*n**3 + 108*n**3.
255*n**3
Collect the terms in 295*l + 30 - 30.
295*l
Collect the terms in -4103942 - 3*u**3 + 4103942.
-3*u**3
Collect the terms in 48*w**2 - 21105*w**3 + 21107*w**3 - 43*w - 48*w**2 + 43*w.
2*w**3
Collect the terms in -25*t + 8 - 8 + 11950*t**2 + 25*t - 11954*t**2.
-4*t**2
Collect the terms in -20*v**2 - 3*v**2 + 11*v**2 + 2*v**2 + 9*v**2.
-v**2
Collect the terms in 2244*c + 2267*c - 4492*c.
19*c
Collect the terms in 1218 - 1211 + 21*w**2 - 17*w**2.
4*w**2 + 7
Collect the terms in -92370*r - 92372*r + 184734*r + 4*r**2.
4*r**2 - 8*r
Collect the terms in -11*l + 3 + 2 - 9*l - 4.
-20*l + 1
Collect the terms in 284*x + 6553 - 6553.
284*x
Collect the terms in -19*v**2 + 137*v**2 + 4*v**2.
122*v**2
Collect the terms in -68853 + 207283 - 69216 - 69214 + 2*q.
2*q
Collect the terms in 36728*a + 36718*a - 73439*a.
7*a
Collect the terms in 2*k**3 - 2807 + 2807 - k**3 + 85*k**2.
k**3 + 85*k**2
Collect the terms in -23 - 24 - 22*l - 12*l - 29 - 25 + 102.
-34*l + 1
Collect the terms in -817 - 829 + 2479 - 823 - 5*b**3.
-5*b**3 + 10
Collect the terms in 34 - 59 + 25 - 7*u.
-7*u
Collect the terms in 117*k - 188*k + 59*k.
-12*k
Collect the terms in 31*k**2 + 19*k**2 - 76*k**2.
-26*k**2
Collect the terms in -357 - 4*m - 12*m + 14*m.
-2*m - 357
Collect the terms in -10 - 143301*h + 10.
-143301*h
Collect the terms in -4656 + 9357 - 4701 + 4*s**2.
4*s**2
Collect the terms in 493 + 426 + 134*k**3 - 139*k**3.
-5*k**3 + 919
Collect the terms in 11*l - 22*l - l + 8*l - 242.
-4*l - 242
Collect the terms in 756*i**3 + 750*i**3 - 1498*i**3.
8*i**3
Collect the terms in -475*v**3 + 3 + 240*v**3 + 253*v**3.
18*v**3 + 3
Collect the terms in 3*a**3 + 5*a**3 - 4*a**3 - 10*a**3 - 7*a**3.
-13*a**3
Collect the terms in -26085 + 26085 + 7*a**2.
7*a**2
Collect the terms in -32*m**3 + 6*m**3 + 6785*m**2 - 6785*m**2.
-26*m**3
Collect the terms in -13*d - 16*d + 66*d - 20*d - 13*d.
4*d
Collect the terms in 82*c**2 - 2 - 47*c**2 - 118*c**2 + 2 + 84*c**2.
c**2
Collect the terms in 6*n + 3616*n**2 - 5*n - 1204*n**2 - 1210*n**2 - 1221*n**2.
-19*n**2 + n
Collect the terms in 2155*i**2 - 34 - 2151*i**2 + 34.
4*i**2
Collect the terms in 162*t**3 - 8*t**3 + 91*t**3 - 30*t**3.
215*t**3
Collect the terms in -16*k**2 + 7*k**3 - 13*k**3 - 35*k**3 + 16*k**2.
-41*k**3
Collect the terms in -4760*u**3 + 176*u + 4759*u**3 - 176*u.
-u**3
Collect the terms in -383*r**2 - 328*r**2 + 860*r**2 - 370*r**2.
-221*r**2
Collect the terms in -95633*s - 4 + 4 + 47831*s + 47804*s.
2*s
Collect the terms in 2596547*q**2 + 2596549*q**2 - 5193099*q**2.
-3*q**2
Collect the terms in 226 - 107 - 671*x**2 + 673*x**2 - 119.
2*x**2
Collect the terms in 22344*w + 22344*w - 44689*w.
-w
Collect the terms in -i + 202 - 181 + 228.
-i + 249
Collect the terms in -y**3 + 969938 - 969938.
-y**3
Collect the terms in -p**2 + 2*p**2 - p**2 + 133*p**3 - 73*p**3.
60*p**3
Collect the terms in 11142*v + 11144*v - 22289*v.
-3*v
Collect the terms in 2*b**3 + 2*b - 20*b - 5*b - 13*b**3.
-11*b**3 - 23*b
Collect the terms in 11665 - b + 11660 + 11657 - 34982.
-b
Collect the terms in -66*v**2 + 8*v**2 + 280*v**2 - 27*v**2.
195*v**2
Collect the terms in -45*i**2 + 17*i - 97*i**2 - 4 - 17*i.
-142*i**2 - 4
Collect the terms in 0 - 3394*v + 0 + 6446*v - 3507*v.
-455*v
Collect the terms in -194 + 36*x**3 - 2*x**2 + 14*x + 194.
36*x**3 - 2*x**2 + 14*x
Collect the terms in -12*j + j + 42*j + 12*j.
43*j
Collect the terms in -62*w**2 + 53*w**2 + 3*w - 3*w.
-9*w**2
Collect the terms in 36*c**2 - 1613 + 2*c - 21*c**2 - 16*c**2.
-c**2 + 2*c - 1613
Collect the terms in 45 + s**3 + 28*s**3 + 14 - 59.
29*s**3
Collect the terms in -1590*u**3 + 4456*u**3 - 1515*u**3 - 1525*u**3.
-174*u**3
Collect the terms in -11 + 11 - 5392*x**2 + 5374*x**2.
-18*x**2
Collect the terms in 2214*b**3 + 2237*b**3 - 4459*b**3.
-8*b**3
Collect the terms in c - 20233 + 10114 + 10119.
c
Collect the terms in 168*w + 120*w + 311*w.
599*w
Collect the terms in -11*h - 226 - 15*h + 40*h - 16*h.
-2*h - 226
Collect the terms in 13269 - 13269 + 18*w.
18*w
Collect the terms in 224369*d - 448727*d + 224356*d.
-2*d
Collect the terms in -17911 + 17911 - 1875*c**2.
-1875*c**2
Collect the terms in -5*r**2 - r**2 + 8*r**2 - 2*r**2 - 9*r**2.
-9*r**2
Collect the terms in -1767*g**2 + 5671*g**2 + 9765*g**2.
13669*g**2
Collect the terms in -7*b - 3*b + 38*b - 9*b - 6*b - 14*b.
-b
Collect the terms in -86*g**2 - 675*g**3 + 86*g**2 - 93*g**3 + 71*g**3.
-697*g**3
Collect the terms in 3875*x + 9875*x + 2604*x.
16354*x
Collect the terms in 5787*t**3 - 2 - 1 + 3 - 5831*t**3.
-44*t**3
Collect the terms in -19735*i + 2*i**2 + 4*i**3 - i**3 - 2*i**2 + 19735*i.
3*i**3
Collect the terms in -9 - u**3 + 942745193*u**2 - 942745193*u**2.
-u**3 - 9
Collect the terms in 18515*c**3 - 68 - 109 - 18517*c**3.
-2*c**3 - 177
Collect the terms in l**2 - 20*l**2 - 15*l**2 - 15*l**2 + 66*l**2.
17*l**2
Collect the terms in 3153*d**2 + 3247*d**2 - 6398*d**2.
2*d**2
Collect the terms in -19699*v**3 - 16 + 17 + 19708*v**3.
9*v**3 + 1
Collect the terms in 792*i - 2353*i + 786*i + 787*i.
12*i
Collect the terms in -343*f**3 - 340*f**3 + 1026*f**3 - 338*f**3.
5*f**3
Collect the terms in -9815*x - 9818*x + 29453*x - 9821*x.
-x
Collect the terms in 4981*f - 439*f**3 - 4981*f - 712*f**3.
-1151*f**3
Collect the terms in -200*k + 110*k - 379*k - 212*k.
-681*k
Collect the terms in -18*l - 22*l - 604*l**2 + 39*l.
-604*l**2 - l
Collect the terms in 1592*j - 74*j + 1759*j.
3277*j
Collect the terms in 2*t - 52 + 39 + 131 - 56 - 62.
2*t
Collect the terms in -400241*o - 400235*o - 400240*o + 1200720*o.
4*o
Collect the terms in 2001*o**2 + 9635*o**2 - 50*o**2 + 9796*o**2.
21382*o**2
Collect the terms in -3*a - 265*a**3 + 9*a - 197*a**3 - 6*a.
-462*a**3
Collect the terms in 2*s**2 + 698 - 1394 + 696 - 4*s**2.
-2*s**2
Collect the terms in -3028 - 3030 - 63*l + 6058.
-63*l
Collect the terms in 6751*p**2 + 2004*p**2 + 23 - 23.
8755*p**2
Collect the terms in -1028*b**2 + 13 + 2051*b**2 - 1024*b**2.
-b**2 + 13
Collect the terms in -556*h**2 + 608*h**2 - 839*h**2 - 694*h**2.
-1481*h**2
Collect the terms in -500 + 500 - 19045*b.
-19045*b
Collect the terms in 0*m + 75*m**3 - 2*m - 44*m**3 - 146*m**2.
31*m**3 - 146*m**2 - 2*m
Collect the terms in -17*q**2 + 223*q**2 - 186*q**2 - 18*q**2.
2*q**2
Collect the terms in 1 + 46*n**3 + 19*n**3 - 1 + 11*n**3.
76*n**3
Collect the terms in -65*y**3 - 64*y**3 - 63*y**3 + 345*y**3 - 95*y**3 - 57*y**3.
y**3
Collect the terms in -7*p**3 - 106*p - 57*p - 59*p + 2*p**3 + 222*p.
-5*p**3
Collect the terms in 3243593 - 13*g**2 - 3243593.
-13*g**2
Collect the terms in -17*a**2 - 25*a - 21010 + 21010 + 18*a**2.
a**2 - 25*a
Collect the terms in -93552*n**2 + 187086*n**2 - 93532*n**2.
2*n**2
Collect the terms in 4001*r - 4002*r + 73*r**3 + 13*r**3.
86*r**3 - r
Collect the terms in 216*h + 209*h + 200*h - 623*h.
2*h
Collect the terms in 165*d - 13*d - 157*d.
-5*d
Collect the terms in 4651*h**2 + 4691*h**2 - 14035*h**2 + 4695*h**2.
2*h**2
Collect the terms in -15 + 14 + 14*a**2 + 3 - 2.
14*a**2
Collect the terms in 4*s + 0*s + 3*s - 11*s.
-4*s
Collect the terms in -8206 + 8206 + 345*g**2.
345*g**2
Collect the terms in -4*v**3 + 6*v**3 + 3701*v**2 - 7441*v**2 + 3740*v**2.
2*v**3
Collect the terms in -2946*t**2 - 2940*t**2 + 8832*t**2 - 2945*t**2.
t**2
Collect the terms in -686*y - 688*y + 2081*y - 708
|
{
"pile_set_name": "DM Mathematics"
}
|
4)*(n**18)**(8/7) assuming n is positive.
n**(124/21)
Simplify (q/(q*q/q**(2/17)))**(-1/11)*(q*(q/q**(-3/4))/q)**(10/3) assuming q is positive.
q**(6635/1122)
Simplify (p/(p/p**(-6))*p*p*(p**(-1/5)/p*p)/p)/(p**0)**(10/3) assuming p is positive.
p**(-26/5)
Simplify (w**(-9)*(w*w**(6/7)*w)/w)/(w*w**11)**41 assuming w is positive.
w**(-3494/7)
Simplify (v*(v*(v/(v*v**(-1/8))*v)/v)/v)**(-28)*(v**(-1/3))**9 assuming v is positive.
v**(-69/2)
Simplify ((p**(-2/9)/p*p/p**(-8))**(-25))**(-7) assuming p is positive.
p**(12250/9)
Simplify ((a*a/(a*a**(1/3))*a**(-6))/(a**(3/2)/(a*a/(a**(-3/5)*a))))**(3/10) assuming a is positive.
a**(-157/100)
Simplify ((b**(-3/7))**(-39/5)/(b**(-4)*b**(-3/11)*b))**(-10/19) assuming b is positive.
b**(-5094/1463)
Simplify (((g**(5/6)/g)/(g/(g**(5/7)*g)))/(g/(g*g*g**(1/2)/g))**50)**(-2/31) assuming g is positive.
g**(-1073/651)
Simplify (w*(((w**(1/17)*w)/w)/w*w)/w)/w*w*w**(-1)*(w**(-2/3))**(-3) assuming w is positive.
w**(18/17)
Simplify k/(k**21*k)*k**(-4/7)*(k*k/k**(-2)*k*k)**(1/62) assuming k is positive.
k**(-4660/217)
Simplify ((l**(-31))**(-3/10))**(2/19) assuming l is positive.
l**(93/95)
Simplify (q/(q/(q*q**(-1/5))))/q*q**(-2/33)*((q*q/(q*q/(q/(q**(-2/9)/q))))/q)/q**(-4/5) assuming q is positive.
q**(872/495)
Simplify b**27*b*b**30*(b/(b**(1/4)*b))/b*b*b*b/(b/b**(2/7)) assuming b is positive.
b**(1653/28)
Simplify g*g**(-10/7)*g*g**(-2)*(g/g**(-2))**(-1/45) assuming g is positive.
g**(-157/105)
Simplify ((v**(5/6)*v/(v**6*v)*v)/(v*v/(v/(v*v**0*v*v)))**(-19))**49 assuming v is positive.
v**(21119/6)
Simplify (((g**(-5))**36)**(13/5))**(-1/8) assuming g is positive.
g**(117/2)
Simplify (j/j**26)**(-9/10)/(j/(j/(j/j**(-13))))**28 assuming j is positive.
j**(-739/2)
Simplify (z/(z*((z**(2/9)/z)/z)/z)*(z**(-2/3)/z)/z*z**(-2/21)/z**(-1/2))**2 assuming z is positive.
z**(65/63)
Simplify x**(-6/11)/x**(-2/37)*x**23*x*x**6*x assuming x is positive.
x**(12417/407)
Simplify f**(-1/22)/(f/f**(2/5))*((f/f**12)/f)**(-5/2) assuming f is positive.
f**(3229/110)
Simplify (v**15/(v/((v/((v**(-3/2)/v*v*v)/v))/v*v)))/(v**(-3))**(-1) assuming v is positive.
v**(27/2)
Simplify (l**(-12/11)*l**6/l*l)/((((((l/(l*l**(-5/2)/l))/l)/l)/l)/l)/l**(-4/21)) assuming l is positive.
l**(2411/462)
Simplify ((g*g**(3/5))/g**2)/(g*g**0)**(-12) assuming g is positive.
g**(58/5)
Simplify ((g*g/(g*g*g**0*g*g))**(2/9)*(g**(2/9))**(-2/3))**(-6/7) assuming g is positive.
g**(32/63)
Simplify t**(-19)/(t**(-5/7)*t)*(t/(t**5*t))**(-19) assuming t is positive.
t**(530/7)
Simplify (((k/k**(1/5))/k)/k)**42/(k**(-1/7)*k)**(-28) assuming k is positive.
k**(-132/5)
Simplify (l/(l**7/l)*l**(6/7)*(l**2)**(-5/4))**(-8/11) assuming l is positive.
l**(372/77)
Simplify ((b**(2/3)*b)/b)**14*b*b*(b*b**(-7))/b*b*b*b/b**(-3)*b assuming b is positive.
b**(34/3)
Simplify ((a**(-6)*a*a**(2/13))/(a*a**(-2/7)*a/a**(1/2)))**17 assuming a is positive.
a**(-18751/182)
Simplify (s/s**(3/7))**(16/5)/((s*(s/s**1*s)/s*s)/(s*(s/(s**(-2/5)/s))/s)) assuming s is positive.
s**(78/35)
Simplify ((f**(1/2)*f**(-2/17)/f*f)/((f**(-1/3)*f)/f*f**4))**(-2) assuming f is positive.
f**(335/51)
Simplify ((a/((a/a**(-1/2)*a)/a))/a**(-1/3))/((a*a**(-1)*a)/a*a*(a*a**4)/a*a) assuming a is positive.
a**(-37/6)
Simplify ((m/(m*m*m**(1/18)*m*m))/(m*m**(-1/18)/m)*m**(-2/3)/m**(2/21))**(-5/12) assuming m is positive.
m**(395/252)
Simplify (r**(3/4))**5/(r**(-12)*r/(r/(r/r**(-7/2)))) assuming r is positive.
r**(45/4)
Simplify ((n**(2/9)/(n*n**2*n))/(n**(-3)/(n/n**(2/9))))**(-17) assuming n is positive.
1
Simplify ((q**(-11)/q**12)**(-8))**(-43) assuming q is positive.
q**(-7912)
Simplify m**19*m**(4/19)*m**(-2/15)/((((m/m**(2/87))/m*m)/m)/m) assuming m is positive.
m**(55376/2755)
Simplify ((n/(((n/((n**11*n*n)/n))/n)/n*n*n))/(n**2*n))/(n*n**(-2/7))**(-5/7) assuming n is positive.
n**(466/49)
Simplify ((u**(-4/7)/u)**(-12/13))**(6/11) assuming u is positive.
u**(72/91)
Simplify ((d/((d**(4/13)*d)/d*d))/(d**(-21/5)/d))/(d**(3/10)/(d/d**(-13))) assuming d is positive.
d**(2417/130)
Simplify (x/(x/x**0)*x/(x*x*(x**(-1/2)*x)/x*x))**(-38) assuming x is positive.
x**57
Simplify ((j**(-3)*j*j/j**(-6))**15)**(-29) assuming j is positive.
j**(-2175)
Simplify d/(d/(d/(d/(d*d**(-1/14)))))*d/(d/(d/(d*d**(-1/2))))*(d*(d/d**0)/d)**19 assuming d is positive.
d**(143/7)
Simplify ((a*(a**(-4/7)/a)/a)/((a/((a**(-2/29)/a)/a))/a)*(a/((a*a**(-2/5))/a))/a*a*a**(-10))**(1/52) assuming a is positive.
a**(-3106/13195)
Simplify (y**(1/49)/y**26)**44 assuming y is positive.
y**(-56012/49)
Simplify (((n*n*n**(3/4))/n**8)**(-5/3))**26 assuming n is positive.
n**(455/2)
Simplify (d*d**2*d*d)**(2/77)/(d*d/d**(1/3))**33 assuming d is positive.
d**(-4225/77)
Simplify (j**(2/5))**(-29/3)/((j**12*j)/j**(-2/5)) assuming j is positive.
j**(-259/15)
Simplify (((u/(u**3/u))**(-4/7))**(5/7))**(-20) assuming u is positive.
u**(-400/49)
Simplify (j**(-6))**20/(j**(-7/2))**(4/15) assuming j is positive.
j**(-1786/15)
Simplify (h**(-11/6)*h/h**(-1/8))**(-1/66) assuming h is positive.
h**(17/1584)
Simplify (p**(-1/7)/p)/p**(-4/11)*(p**(1/8)*p)**(-2/9) assuming p is positive.
p**(-317/308)
Simplify (b**(-3)*(b**(2/9)/b)/b*b*(b**(-1)/b*b)/b**2)**(-15/8) assuming b is positive.
b**(305/24)
Simplify ((f/(f*f*f**(-39)))/f**(-31))**(-1/4) assuming f is positive.
f**(-69/4)
Simplify ((j**1/(j/j**(1/7)))/(j*j**(2/3)*j*(j**(-2)/j)/j))**(-2/83) assuming j is positive.
j**(-62/1743)
Simplify d**1*d/((d/d**(1/4))/d)*((d/((d*d/(d**(-6/13)*d))/d))/d)/(d*d**20) assuming d is positive.
d**(-999/52)
Simplify ((s**2)**(-29)*(s*s**(-2/7)*s)**(3/11))**(15/8) assuming s is positive.
s**(-33225/308)
Simplify d**(1/4)/d*d*d**(4/3)*(d*d**(1/2))/(d/d**2*d) assuming d is positive.
d**(37/12)
Simplify (f**29/(f*f/(f*f**(-28))*f))**23 assuming f is positive.
f**(-23)
Simplify ((p/p**3)/p)**23*(p**3/p)/p**2 assuming p is positive.
p**(-69)
Simplify (b/b**(2/11))/b*b*(b**6/b*b)/b*(b/(b*b**(-7)*b*b))/b*b**(2/3) assuming b is positive.
b**(346/33)
Simplify ((((q*q/(q**(-2)*q*q)*q)/q)/q*q*q)**(2/21))**(2/23) assuming q is positive.
q**(4/161)
Simplify j**(-11/2)*j**(-2/17)*j*(j*j**(1/4))**(3/23) assuming j is positive.
j**(-6967/1564)
Simplify ((q**(-10)/(q/q**(1/6)))**(-1/24))**(10/7) assuming q is positive.
q**(325/504)
Simplify a**(1/9)/((a*(((a/(a**(-14/9)*a)*a*a)/a)/a)/a*a)/a)*(a/(a/a**(-2)*a))**43 assuming a is positive.
a**(-1174/9)
Simplify (j/(j*j**(-25)*j))/j*j**(-3/34)*(j*j*j**12*j)/j*((j**(-13)/j)/j)/j*j assuming j is positive.
j**(745/34)
Simplify (u*u*u**(2/11)*u)**(-9/5)*u**(1/7)*u**0 assuming u is positive.
u**(-430/77)
Simplify n**(-7)*n*n*n*n**(-2/55)*n**(-20)*n*n**17 assuming n is positive.
n**(-332/55)
Simplify (((a**(1/6)/a)/a)/(a/a**(-9/7)))/(a**(1/26)/(a*a**(-16)*a)) assuming a is positive.
a**(-4957/273)
Simplify (l**(4/7)*l**(-5))/((l/(l**4*l))/l*l**0) assuming l is positive.
l**(4/7)
Simplify c**(4/5)*c*c**7*(c*c**(2/15)/c)**(-1/11) assuming c is positive.
c**(290/33)
Simplify (s**(2/37)/s**(16/7))/((s*s*s*s**(-2)/s)/s*s**8) assuming s is positive.
s**(-2391/259)
Simplify (((l**(7/3)*l*l)/l)/(l/(((l/(((l**(-5)/l)/l)/l)*l)/l)/l)))/(l**9)**(17/5) assuming l is positive.
l**(-304/15)
Simplify (f*f**(2/29)/f*f**(4/5)*f**(-9)*f*f**(-2))**(-6/11) assuming f is positive.
f**(7944/1595)
Simplify (b**(-3/7)/(b**(-4)/b))/((b*b**(-2/7))/(b*((b*b**(1/10)/b)/b)/b*b)) assuming b is positive.
b**(277/70)
Simplify (d*d**3*d*d)**(-41)*d**(-7)*d*d**(1/4) assuming d is positive.
d**(-1007/4)
Simplify (j**(-1/4)/j)**(7/3)*j*(j*(j/(j**(2/43)/j*j))/j*j*j*j)/j*j*j/j**13 assuming j is positive.
j**(-5141/516)
Simplify (m**8*m*m**(3/4))/((m/(m/(m/(m*m**10*m*m*m)))*m)/((m/(m**1*m*m))/m)) assuming m is positive.
m**(75/4)
Simplify c**(-4/15)/(c/((c/(c**(7/2)/c)*c)/c))*c**(2/47)*c/(c**(6/13)*c) assuming c is positive.
c**(-58393/18330)
Simplify o**(6/7)*((o**(5/2)/o)/o)/o*o*o**(-7)*o*o**(-4)/o assuming o is positive.
o**(-135/14)
Simplify (((n**(-1/15)/n)/n**(-2/7))/(((n*n/(n*n*n/(n*n/((n**(1/4)/n*n)/n))*n*n*n)*n)/n)/((n/(n**(3/7)*n*n*n*n))/n)))**(14/11) assuming n is positive.
n**(-1663/330)
Simplify ((w**(-15)*w)/(w**2/w))**(-17/2) assuming w is positive.
w**(255/2)
Simplify (a**(-1/8)/a)/(a/(a*a**(-11)*a))*a**(-25)/a*a**(2/47) assuming a is positive.
a**(-13943/376)
Simplify y**(
|
{
"pile_set_name": "DM Mathematics"
}
|
- 35 + (1 + 0 + 1)*(-3*g - 4*g - 18*g**5 + 16*g**5).
g**5 - 14*g
Expand (m - 2*m**2 + m + 4*m**2)*(122 - 281 + 447)*(-6*m - 5*m + 3*m).
-4608*m**3 - 4608*m**2
Expand (8*a - 30 + 30)*(-a - 2*a + a)*(-5*a**2 + 2*a**2 + a**2) - 119*a**3 - 7*a**4 + 119*a**3.
25*a**4
Expand (22*h - 9*h - 5*h)*((h - 1 + 1)*(1 - 2 - 3) - 2*h + 0*h + h)*(-4 - 13 + 25).
-320*h**2
Expand (10*a**3 - 178*a**3 - 92*a**3)*(4*a - 2*a + 2 + 0*a)*((3 - 3 + 2)*(5 - 4 - 2) + 5 - 1 - 1)*(3 - 3 + a).
-520*a**5 - 520*a**4
Expand (1 - 1 + 26*s**3)*(78*s - 52*s - 95*s).
-1794*s**4
Expand (-3*m**2 + 0*m**2 + 2*m**2 + (2*m + 0 + 0)*(2*m - 2*m + 2*m))*(41 + 44*m - 41 + (-m + 4*m - m)*(-168 + 93 + 82)).
174*m**3
Expand (-2*w + 0*w - w)*(-2148 + 2148 - 108*w)*(6 + 2 - 4).
1296*w**2
Expand (9*y + 6*y + 2*y)*(y + 1 - 1) - 18*y**2 + 55*y**2 - 7*y**2.
47*y**2
Expand (g**3 + 3*g - 3*g)*(-71 - 27 + 7) + (-g**2 + 3 + g + 2*g**2 - 2)*(-8*g - 19*g + 8*g).
-110*g**3 - 19*g**2 - 19*g
Expand (-17 + 25 - 91*f - 8)*(-96*f - 75*f + 145*f)*(3*f - f - 3*f).
-2366*f**3
Expand (-4*k**2 + 3*k**2 + 4*k**2)*(-2044 + 4084 - 2173) + (0 + 0 + k + (0 - 2 + 3)*(-k - k + 4*k))*(-5*k - k + k).
-414*k**2
Expand (c - c - 2*c**2 - 4*c**2 - 81*c**2 + 18*c**2 - 3*c**2 + 4*c**2 - 4*c**2 + (-4*c + c + c)*(2*c - 2*c + c))*(-2*c**3 - 392*c**2 + 393*c**2 + 24*c**3).
-1628*c**5 - 74*c**4
Expand (-8*a**3 + 5*a**2 - 5*a**2 + (1 + 2 - 2)*(3*a**3 + 3*a**3 - 5*a**3))*(132*a**2 - 63*a**2 + 889*a**2).
-6706*a**5
Expand (0*o + 6*o + 8*o)*(-2*o + 9*o + o)*(-2 - 5 - 4).
-1232*o**2
Expand (-12*h**3 + 4*h**3 - h**3)*(-100*h**2 - 28*h**2 + 5*h**2).
1107*h**5
Expand 2 + 10*o - 2 + 1 - 5*o + 8*o + 9*o + 2 + 3*o - 2 + (0 - 2 + 0)*(0*o + o - 2*o) + 5 + 2 - 6 - 25*o.
2*o + 2
Expand (-18*f**2 + 39*f**2 - 22*f**2)*(-2*f - 4 + 4) - 30*f**3 + 1 + 0 - 28040*f + 28041*f.
-28*f**3 + f + 1
Expand (-12*w - 26 + 26)*(-69 + 368 - 106 + 559).
-9024*w
Expand -5*l**2 - 3*l**2 + 13*l + 7*l**2 + (l**2 + l**2 + l**2)*(-90 + 43 + 44)*(1 - 11 + 1).
80*l**2 + 13*l
Expand (-7*w**3 - 6*w**3 - 32*w**3)*(25310*w - 25310*w - 139*w**2).
6255*w**5
Expand g - g + 2*g**2 + (-g + 0*g - g)*(-2*g - 3 + 3) - 258 - 21268*g**2 - 21272*g**2 + 42523*g**2.
-11*g**2 - 258
Expand (1232143*v - 1232143*v + 799*v**2)*(2 + 2 - 5).
-799*v**2
Expand (1702*m**3 + 18266*m**3 - 3599*m**3)*(4*m - 5*m + 3*m).
32738*m**4
Expand -238*p**3 + 424*p**3 - 269*p**3 + 3*p**2 - 6*p**3 + 2*p**3 + 3*p**3 + (0*p**2 + p**3 + 0*p**2)*(2 + 0 - 3) - 3*p**3 - p**3 + 0*p**3.
-89*p**3 + 3*p**2
Expand (3*p**3 + 3*p**3 - 5*p**3)*(p**2 + p**2 - 3*p**2) - 2*p**5 - 3*p**4 + 3*p**4 + (3*p**3 - 1 - 435368*p**4 - 27*p**5 - 5*p**3 + 435369*p**4)*(2 + 0 - 4).
51*p**5 - 2*p**4 + 4*p**3 + 2
Expand (-5342 - 5319 + 10645 - 48*n)*(-3*n**2 + 3*n**2 - 2*n**2).
96*n**3 + 32*n**2
Expand (5*m - 3*m + 0*m)*(16 + 8 - 14) + (2 + 0 - 4)*(11*m - 71*m + 0*m).
140*m
Expand (0*y**3 + 3*y**3 + 3*y**3)*(2*y**2 - 2*y**2 + 2*y**2) - 4*y**2 - y**5 + 4*y**2 + (2*y**5 - 2*y**5 + 2*y**5)*(2 - 1 + 0) - 6*y**3 + 6*y**3 - 5*y**5.
8*y**5
Expand (-20*v**4 + 6*v**4 - 17*v**4)*(-113 + 9*v + 113).
-279*v**5
Expand (-8*w**2 + 14 - 14 + (18*w**2 + 7*w**2 - 7*w**2)*(1 - 1 - 2))*((-2*w**2 + 0*w + 0*w)*(1 - 5 + 3) + 2*w - 2*w + 3*w**2).
-220*w**4
Expand 338 + 19*k**4 - 338 - 50*k**2 + (3*k - 3*k - 2*k**3)*(-1 + 1 + k).
17*k**4 - 50*k**2
Expand (-92 - 19*z + 436 - 76 + 381 - 52*z)*(-3*z - z + 3*z).
71*z**2 - 649*z
Expand -2*b - 19*b**2 + 88*b**2 + 2*b + (-3*b + 4*b - 2*b)*(2*b + 2 - 2) - 17*b**2 - 11*b**2 + 6*b**2.
45*b**2
Expand (-27*i**3 - 27*i**3 + 18*i**3)*(-12 + 35*i - 9 - 34*i + 2*i**2).
-72*i**5 - 36*i**4 + 756*i**3
Expand (0 + 0 + 2*j**2)*(-j + j + 3*j)*(1 - 1 + j) + (37 - 23 - 41)*(-4*j**4 - 7*j**2 + 7*j**2).
114*j**4
Expand (76*u**2 - 253*u**2 - 249*u**2)*(-9*u - 156*u**3 + 25*u + 154*u**3).
852*u**5 - 6816*u**3
Expand s**3 + 6*s**3 - 3*s**3 + (-s**3 + s**3 - 2*s**3)*(1 - 2 + 0) + 299*s**3 - 1264*s**3 - 1083*s**3.
-2042*s**3
Expand (-4 + 2 + 1 + (6 + 5 - 18)*(3 - 1 + 1))*(19 - 2 + 3)*(-5*t**5 - 2*t**2 + 2*t**2).
2200*t**5
Expand (-12 - 21 + 39)*(19*n + 13*n - 2*n).
180*n
Expand -27*u**4 + 14*u**4 - 12*u**4 + (u - u + 7*u**3)*(4*u + 0 + 0) + 3*u**3 + u**4 - 3*u**3.
4*u**4
Expand -175*g**2 + 4 - 3 + 35*g**2 + (0*g - g + 2*g)*(0*g + 16*g + 3*g).
-121*g**2 + 1
Expand (0 + 2 - 4)*(k**4 + 0*k**4 + 0*k**4) + (55*k - 55*k + 2*k**4)*(-1 + 4 - 2)*(8 - 2 - 1) - 5*k**4 + 4*k**4 + 2*k**4.
9*k**4
Expand (2 - 1 + 0)*(18*q - 128 + 128)*(0 - 12 - 11) - 2*q + 5*q - 2*q.
-413*q
Expand (0 + 0 - 4*i)*(2 - 2*i - 2) + (3*i**2 - i**2 - i**2)*(2 + 1 + 0) - 1046 + 536 + 534 + 19*i**2.
30*i**2 + 24
Expand (-77*i - 38*i - 47*i)*(-2*i**2 + 10*i - 10*i + 7).
324*i**3 - 1134*i
Expand (-4 - 2*v + 4)*(2 + 0 - 1)*(87 + 97 - 155) - 22*v + 10*v - 8*v.
-78*v
Expand (0 - 1 + 2)*((-20*o - 30*o + 28*o)*(-2*o + 3*o + 0*o) + 0*o + 0*o + 2*o**2).
-20*o**2
Expand -3259*c - c**5 + 12*c**5 + 3257*c + 8 - 4*c**3 - 2*c**5 + 4*c**3 + (-c**3 + c**3 - c**5)*(1 - 3 + 3) + 0*c**5 + 0*c**5 - 2*c**5.
6*c**5 - 2*c + 8
Expand (4 - 4 - 3*j)*(7*j - 3359 - 3357 + 6711 - 3*j**2).
9*j**3 - 21*j**2 + 15*j
Expand (y - 2*y + 2*y)*(y - y + 2*y**2) + 0*y**3 + 3*y**3 + 2*y**3 + 2*y**3 - 2*y**2 + 2*y**2 - 5*y**2 - 4*y**2 + 866*y**3 + 26*y**2 - 17*y**2.
875*y**3
Expand -2*z**3 - 3*z + 3*z + (0*z - 3*z + 2*z)*(-z - 2*z**2 + z) - 120*z + 120*z + 34*z**3 + (z**2 + z**2 + 0*z**2)*(3*z - 2*z + z) + 2*z**3 + 0*z**3 - 5*z**3.
35*z**3
Expand (379*j - 554*j + 302*j)*(2*j - 11 + 10 - 8*j).
-762*j**2 - 127*j
Expand (-2 + 17 - 4)*(-2*b**5 - 2*b**5 + 2*b**3 + 3*b**5) - 152*b**5 - 292*b**5 + 360*b**5.
-95*b**5 + 22*b**3
Expand 3468*i**3 + 0*i**2 - 3467*i**3 + 3*i - i**2 + 2 + (-2*i**2 + 4*i**2 - 5*i**2)*(i + 2 - 2).
-2*i**3 - i**2 + 3*i + 2
Expand ((1 - 5 + 3)*(0 - 2 + 4) - 1 + 0 - 1 - 4 + 4 - 2 - 78 + 10 - 25)*((-4*k + 2*k + 4*k)*(-1 + 1 - 1) + 1 - 2*k - 1).
396*k
Expand 2 + r - 2 + (2 - 4 - 3)*(2*r + 0*r - r) + 12*r - 114*r - 149*r - 191*r.
-446*r
Expand (-j - 1 + 1)*(-2*j**4 - 3*j**4 + 6*j**4) + (4*j - 4*j + 6*j)*(148*j**3 + 145 + j**4 - 148*j**3).
5*j**5 + 870*j
Expand 12*w**2 - 11*w - 6*w**2 - 8*w**2 + (-23 + 10 - 36)*(-2*w**2 + 0*w + 0*w).
96*w**2 - 11*w
Expand ((-4*g + 5*g - 2*g)*(-g**2 - 4*g + 4*g) + 3*g**2 - 3*g**2 - 2*g**3)*(g + 0 + 0)*(0*g - 5*g + 4*g) + (-6 + 0 + 4)*(32*g + 17*g**5 - 32*g).
-33*g**5
Expand (-4 + 5 + 0)*(-1252 + 1252 - 125*z)*(608 - 108 - 248)*(6*z - 3*z - 2*z - 1).
-31500*z**2 + 31500*z
Expand (3*a - a - a)*(608 + 409*a**2 - 302 - 308).
409*a**3 - 2*a
Expand (-18 + 4 + 34)*(-3 - 1 + 1)*(3 + k - 3 + 3*k - 3*k - 2*k + (-2*k + 0 + 0)*(0 + 3 - 1) + 581 + 51*k - 581).
-2760*k
Expand (2*o - 2*o - 3*o)*(-2 - 3 + 3)*(-45 - 124 + 26)*(4*o**2 - o**2 + 0*o**2)*(0 + 0 - 2*o).
5148*o**4
Expand (3*l**2 + 0*l**2 - 4*l**2)*(-43 + 43 - 41*l**2 + (30*l - 4*l - 5*l)*(-2*l - 2*l + 5*l)).
20*l**4
Expand (2724 - 4*g + 6*g + 1573 + 496)*(-2*g + 3*g - 3*g).
-4*g**2 - 9586*g
Expand 2*a**2 - 3*a + 866*a**4 - 867*a**4 + 10*a + 7*a**4 - 12*a**4 + 10*a**4 + (a**3 + 2*a**3 - 2*a**3)*(-2*a - a + 4*a).
5*a**4 + 2*a**2 + 7*a
Expand (-300*w**3 - 33*w**2 + 6717 - 6717 + 65*w**3)*(2*w + w - w).
-470*w**4 - 66*w**3
Expand (-2252*b + 1125*b + 1125*b - 169 + (1 - 3 + 4)*(2*b + 0*b - b) + 2*b + 4*b - 2*b)*(-3 + 2*b + 3).
8*b**2 - 338*b
Expand 8*q**2 - 2*q**2 + 0*q**2 + (98 - 52 - 54)*(q**2 - 2*q**2 + 6*q**2).
-34*q**2
Expand (0 + 4 - 3)*(4 - 4 - 2*d) + (-3 + 5 + 0)*(5*d + 16*d + 9*d).
58*d
Expand ((-2 + 2 + 2 + (1 - 2 + 2)*(3 + 2 - 7) - 2 - 1 + 1 + 1 + 1 - 4)*(-507*m - 604*m + 861*m) + 2*m + 0 + 0)*(3 - 2 + 0).
1002*m
Expand (-i + 3*i + 0*i)*(-4*i - 5*i - 8*i)*(-270*i - 156*i + 88*i).
11492*i**3
Expand (13*r**3 - 14*r + 14*r)*(-41*r - 39*r + 81*r + 46).
13*r**4 + 598*r**3
Expand (-3 - n + 3)*(2605*n**3 - 1381*n**3 - 1449*n**3) - 2*n**4 + 2*n**4 + n**4.
226*n**4
Expand t**2 - 4*t**2 + 2*t**2 + (-2 + 5 - 1)*(2*t**2 - t**2 - 2*t**2) + 59*t**2 - 27*t**2 + 83*t**2.
112*t**2
Expand (-16*t + t**2 + 1933 - 978 + 29*t**2 - 954)*(-1 + 3 - 1).
30*t**2 - 16*t + 1
Expand (1189*d + 392*d - 537*d + 2*d - 2*d - d + 0 + 0 - 2*d + (d - 5*d + 2*d)*(-1 + 2 + 0) - 4*d - d + 2*d)*(d**2 + 0*d**2 - 2*d**2).
-1036*d**3
Expand -4*o**3 + o**3 - 7*o**3 + (-7 + 43 + 4)*(3*o**2 - 3*o**2 + 4*o**3).
150*o**3
Expand (19 + 45 - 7598*w + 7594*w)*(-1 + 4 - 2).
-4*w + 64
Expan
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{
"pile_set_name": "DM Mathematics"
}
|
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