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iggest value? (a) -8/7927 (b) -1 (c) -29/5 (d) 2
a
Which is the fourth biggest value? (a) -19/5 (b) -2 (c) -1/11 (d) 0.1 (e) -2046 (f) -3/8 (g) 4
f
What is the second biggest value in -15260978, -2, 6/7, -1?
-1
Which is the third smallest value? (a) 6 (b) 9/8 (c) -0.5 (d) 0 (e) -0.23 (f) 2 (g) -5
e
What is the third biggest value in -118, 2/7, -1/2, 4, -3/5, -45.7, -20?
-1/2
What is the fifth biggest value in -0.4, 2, -3/128, 1, 0.3, -3/35?
-3/35
What is the second smallest value in 214, -17, -0.5, -1/9, -2/3, -3, -110?
-17
What is the second smallest value in -5, 4/3, -2/13, 257, -0.5, 211, -3?
-3
What is the third biggest value in -1/2, 0.6, 4787, 59?
0.6
Which is the biggest value? (a) 0.2 (b) -3/7 (c) 19 (d) 3 (e) 66292
e
Which is the fourth biggest value? (a) 1 (b) 1/5 (c) -4 (d) -8.8 (e) -5 (f) 1.48 (g) 2/31
g
What is the fifth biggest value in 3, 4, -0.15, 11, 1290?
-0.15
What is the third biggest value in 16, 4, -2, -1/7, -740?
-1/7
Which is the third smallest value? (a) -1/5 (b) -47.5 (c) -1.1 (d) -4 (e) 7
c
What is the fourth biggest value in 25581, -4, -2, 4/7, 4?
-2
What is the second biggest value in -1/7, 0.06, -147342/5?
-1/7
Which is the sixth smallest value? (a) 1 (b) 0.1 (c) -1/3 (d) 2 (e) 4 (f) 1.56
e
What is the second biggest value in 57/2, -364/3, 100, -0.1, 0?
57/2
Which is the fourth biggest value? (a) 94 (b) -5 (c) -3 (d) 0.4 (e) 4 (f) 29
d
What is the smallest value in 0.3, 2, 2/5, -21, 2/349, 2/241?
-21
Which is the sixth smallest value? (a) 2/173 (b) 5 (c) -71 (d) 0.12 (e) 2 (f) 0 (g) 2/13
e
Which is the second biggest value? (a) 0.4 (b) 2/11 (c) -293190 (d) 796
a
Which is the second biggest value? (a) -0.5 (b) 4/3 (c) 7/1821 (d) -24 (e) -45
c
Which is the sixth smallest value? (a) 0.2 (b) 0.4 (c) -11/21 (d) 4.2 (e) 0 (f) 4
d
Which is the second smallest value? (a) 0.2 (b) 4 (c) 644 (d) -1/3 (e) -1 (f) 159
d
Which is the third smallest value? (a) -4 (b) -2/17 (c) -27/1198 (d) 10
c
Which is the third biggest value? (a) -0.3 (b) -104.2 (c) -0.07942 (d) -0.4 (e) 1
a
Which is the second biggest value? (a) -0.2423 (b) 1 (c) 4 (d) -4.2
b
What is the second smallest value in 0, 7664347, 2?
2
What is the second biggest value in -3/5, -2/13, -2370, -4/5, -215?
-3/5
What is the smallest value in 0.4, -1/5, 0.3, -0.1, 3/14, 3/32?
-1/5
Which is the smallest value? (a) 0.4 (b) -0.14 (c) -426 (d) 75/32
c
Which is the fourth biggest value? (a) 0.06 (b) 0 (c) 0.4 (d) -73070 (e) -4
e
Which is the biggest value? (a) -2 (b) -1 (c) 39830 (d) -31
c
Which is the biggest value? (a) 983 (b) -5 (c) -77 (d) -1 (e) -1/6
a
Which is the fourth biggest value? (a) -5 (b) 2308 (c) -145 (d) -0.6 (e) -2 (f) -1/5
e
What is the third biggest value in 1070965, 4, 2/13, -4, -2/3, -34/5?
2/13
Which is the second smallest value? (a) 1 (b) -0.36 (c) -47/6 (d) 2/3 (e) 0.02
b
What is the smallest value in 1, 2, -17, -0.5, -4/7, 0.2, 0.0817?
-17
What is the smallest value in -108, -4, 21, -3/2, 0.66, 0.4, 3/4?
-108
What is the second smallest value in -2/2457, -3/7, -62491?
-3/7
What is the third smallest value in 4, 0.3, 3, 189/116?
3
What is the fourth biggest value in -14, -0.3, 4, 65/48, -6, 0.5, 5?
0.5
What is the biggest value in -2/9, -2, 0.04, 37/3, 11, -4?
37/3
Which is the second smallest value? (a) -39/89 (b) 24 (c) -2 (d) 29 (e) 1/3
a
What is the fifth biggest value in 3.8, 1/5, 0, -4/3, -154022?
-154022
What is the third biggest value in -95, -1, -0.1, -47/7?
-47/7
What is the second smallest value in 0, -19/5, 3, 5, 139543?
0
Which is the second biggest value? (a) 42 (b) 2198 (c) 2 (d) 0.0503
a
What is the second smallest value in 10, -29/4, 4, 0.023, -3, 0.3, -2?
-3
Which is the second smallest value? (a) -50/19 (b) -0.2 (c) -2 (d) -6 (e) 8 (f) 0.032
a
Which is the third biggest value? (a) -1/237 (b) -1/2 (c) -0.3 (d) -194 (e) -0.06
c
Which is the smallest value? (a) 2 (b) 13 (c) -124 (d) 3/133 (e) -1 (f) 4
c
Which is the third smallest value? (a) -0.069 (b) -5 (c) -17/16 (d) 1 (e) 1.7
a
What is the biggest value in -2, 60, -11417?
60
What is the smallest value in 0.1, 14, 3/541, -0.4, -6.6?
-6.6
Which is the third smallest value? (a) 2/5 (b) -66 (c) 54 (d) 1/2 (e) 3 (f) -4 (g) -1.3
g
Which is the smallest value? (a) -3 (b) 1/93726 (c) 3/5
a
What is the smallest value in 249, 2, -4, -3/5, 930?
-4
What is the fourth biggest value in 12, -2.58, -0.0856, 0.3?
-2.58
Which is the second biggest value? (a) -12 (b) -3/4 (c) -2/145 (d) -4 (e) -20/99
e
Which is the third smallest value? (a) 0.087 (b) -0.02594 (c) 1 (d) 8
c
Which is the third biggest value? (a) 67133 (b) 22 (c) 2/3 (d) -2 (e) -0.2
c
What is the fifth smallest value in 4, -1/34, -0.2, -1/46, 609?
609
Which is the smallest value? (a) -3/4 (b) 395/18 (c) 0.11562
a
What is the fifth smallest value in 6/11, -0.1, 2/5, 111511, -9?
111511
Which is the second smallest value? (a) -2/11 (b) -16.8 (c) -5 (d) -19 (e) 5/4 (f) -1
b
What is the second smallest value in -1, -9, -2, 1791, 0.3, 0?
-2
Which is the fourth smallest value? (a) -0.9096 (b) 3.8 (c) 0.1 (d) -2
b
What is the second biggest value in -2, -4, 1/78, 0.16, -2/5, -0.11, 4?
0.16
What is the fourth biggest value in -0.9, 5, -0.0807, 0.04, -71, -0.3, 3/2?
-0.0807
What is the smallest value in -1, 3, 2.98, -1130/13, 2, 1/8?
-1130/13
Which is the third smallest value? (a) -1 (b) -100 (c) -0.4 (d) 15/412
c
What is the smallest value in -2, 10, -5, -1, 0, -30.5627?
-30.5627
What is the fifth biggest value in -2/107, 5, 2, 16, -17, -0.08, 3?
-2/107
Which is the second smallest value? (a) 3380 (b) 2 (c) 9/10 (d) 6/17 (e) 0.3
d
Which is the sixth biggest value? (a) 7 (b) 3/4 (c) -42 (d) -0.2 (e) 0 (f) 74
c
Which is the second smallest value? (a) -0.1 (b) -1.335795 (c) -23
b
What is the third smallest value in -5, 3, -1/6, -0.2, -81162/17?
-0.2
Which is the fourth biggest value? (a) -5 (b) -24 (c) -2 (d) 5 (e) 13.2 (f) -0.1
c
Which is the fourth biggest value? (a) -0.5 (b) -0.102 (c) 41/5 (d) 1/3 (e) -1.17
a
Which is the biggest value? (a) 0 (b) -1.7 (c) -0.21 (d) 4 (e) -3.6564
d
What is the fifth biggest value in -0.07, 2, -1/3, 2/9, 6, 531, -5?
-0.07
Which is the fifth smallest value? (a) -307/3 (b) -3 (c) -0.5 (d) -0.016 (e) 2 (f) -1.8
d
Which is the second biggest value? (a) -2 (b) -2049 (c) 0 (d) -1/5 (e) 28/11
c
What is the biggest value in 50, 91138, -0.2?
91138
Which is the third biggest value? (a) 3 (b) -2015 (c) 114 (d) -0.2
d
What is the fourth smallest value in -8/67, -1/2, -2/5, -404, -2, 2, -0.1?
-2/5
Which is the biggest value? (a) -1/4 (b) 1405 (c) 0.1 (d) 1/5 (e) -23.8 (f) 4
b
Which is the second biggest value? (a) 3 (b) -101 (c) 0.09 (d) -2/15 (e) -2.7
c
Which is the fourth smallest value? (a) -2 (b) 4 (c) -0.2 (d) 4/3 (e) 2/183 (f) 0.119
f
Which is the third biggest value? (a) -19 (b) -2/37 (c) 51/2 (d) -1/4 (e) 0.002
b
Which is the fifth biggest value? (a) 0.57 (b) 0.4 (c) -0.04 (d) 4 (e) -0.08 (f) -1742
e
Which is the fourth biggest value? (a) -5 (b) 177 (c) -0.3 (d) 8 (e) 3 (f) -1/25 (g) -7
f
Which is the seventh biggest value? (a) 0.5 (b) 0.16 (c) 61 (d) -0.2 (e) -6/13 (f) 5/2 (g) 0.06
e
Which is the fifth smallest value? (a) 5/3 (b) 4 (c) -2 (d) 2/7 (e) 4/13 (f) 26523
b
What is the second biggest value in -186, 0, -4, -14, 2/11, -0.14?
0
Which is the second biggest value? (a) 4 (b) -37/4 (c) -148560
b
Which is the third smallest value? (a) -56 (b) -1241 (c) -1/7
c
What is the third biggest value in -1.3, 2/67, 333?
-1.3
What is the third biggest value in -25, -31, 0.09, 311?
-25
Which is the fifth smallest value? (a) 6/5 (b) -1 (c) -5 (d) -0.2 (e) -0.03 (f) 1925.9
a
What is the fifth smallest value in -1/74, -4/9, -12, -0.01, 3, 0.1, -4?
-0.01
What is the biggest value in -1, -75124/3, 0?
0
Which is the second biggest value? (a) 5 (b) -161 (c) -2/1179
c
Which is the second smallest value? (a) 11125.3 (b) -10 (c) 1/7 (d) -1/2 (e) -3 (f) -4 (g) -2
f
Which is the second biggest value? (a) 2 (b) -9 (c) 842 (d) -0.045
a
|
{
"pile_set_name": "DM Mathematics"
}
|
3}.
4/455
Calculate prob of sequence zaa when three letters picked without replacement from {t: 2, z: 4, a: 3}.
1/21
What is prob of sequence dee when three letters picked without replacement from {d: 10, e: 2, k: 3}?
2/273
Three letters picked without replacement from {p: 1, c: 4, r: 1, b: 4}. Give prob of sequence pcr.
1/180
What is prob of sequence rrt when three letters picked without replacement from {t: 7, r: 7}?
7/52
What is prob of sequence qkqk when four letters picked without replacement from {z: 1, q: 2, s: 1, k: 2}?
1/90
Three letters picked without replacement from vwvyvxmvvvhmwvxwwxwx. What is prob of sequence wmv?
7/684
What is prob of sequence xs when two letters picked without replacement from ssxkkskxskkkxssxk?
3/34
Four letters picked without replacement from {h: 1, u: 3, o: 2, k: 1, m: 1, z: 3}. What is prob of sequence oomu?
1/1320
What is prob of sequence gpum when four letters picked without replacement from mugopupommpmoo?
1/1001
Two letters picked without replacement from {u: 5, x: 1, r: 1, o: 1, q: 1}. What is prob of sequence qx?
1/72
Calculate prob of sequence uuu when three letters picked without replacement from {q: 3, a: 2, u: 3, k: 5}.
1/286
What is prob of sequence aadd when four letters picked without replacement from {d: 4, a: 16}?
8/323
What is prob of sequence hp when two letters picked without replacement from pzzyuhd?
1/42
What is prob of sequence am when two letters picked without replacement from {m: 6, a: 12}?
4/17
Two letters picked without replacement from vvvvvvvvvvvvvvqqvvv. What is prob of sequence vv?
136/171
Four letters picked without replacement from {e: 1, g: 1, z: 6, q: 4, o: 3}. What is prob of sequence qqeg?
1/2730
Two letters picked without replacement from aaddadaaajgdjjadd. Give prob of sequence dj.
9/136
Four letters picked without replacement from oooeokvooevvovoevov. Give prob of sequence voeo.
9/646
Four letters picked without replacement from {g: 2, t: 3}. What is prob of sequence tgtg?
1/10
Calculate prob of sequence jp when two letters picked without replacement from jglmjlmmjpglgljmgjt.
5/342
Calculate prob of sequence zy when two letters picked without replacement from {z: 2, y: 4, x: 8, w: 5}.
4/171
Four letters picked without replacement from {t: 3, a: 4, e: 7}. Give prob of sequence ttee.
3/286
What is prob of sequence vvl when three letters picked without replacement from vlvlvlvvll?
5/36
Three letters picked without replacement from {f: 2, l: 2, g: 8, p: 3}. Give prob of sequence gfp.
8/455
What is prob of sequence ruu when three letters picked without replacement from {x: 1, l: 5, a: 1, u: 6, r: 1, s: 3}?
1/136
Two letters picked without replacement from {d: 3, e: 1, u: 1}. Give prob of sequence ue.
1/20
Three letters picked without replacement from {c: 1, h: 4, t: 4, j: 4, o: 5, d: 2}. Give prob of sequence jjc.
1/570
Two letters picked without replacement from {n: 1, u: 2, l: 1, a: 1, j: 4}. Give prob of sequence ln.
1/72
Two letters picked without replacement from {d: 6, p: 2}. What is prob of sequence pd?
3/14
Four letters picked without replacement from {f: 11, q: 2, n: 1, a: 2}. Give prob of sequence naff.
11/2184
Calculate prob of sequence mww when three letters picked without replacement from {m: 4, w: 2}.
1/15
Three letters picked without replacement from fgyfyfygyyg. Give prob of sequence fgy.
1/22
What is prob of sequence icle when four letters picked without replacement from ncvniiinevneiilnnvnv?
1/11628
Calculate prob of sequence pv when two letters picked without replacement from zvpvv.
3/20
Three letters picked without replacement from {p: 17, o: 1}. Give prob of sequence pop.
1/18
Four letters picked without replacement from {i: 2, q: 11}. What is prob of sequence qqii?
1/78
Calculate prob of sequence ryyi when four letters picked without replacement from ninuurriirruruyry.
3/4760
Calculate prob of sequence xxc when three letters picked without replacement from waxxwcxfffwwwra.
1/455
What is prob of sequence fknl when four letters picked without replacement from {k: 8, f: 1, n: 5, l: 2}?
1/546
Calculate prob of sequence vvu when three letters picked without replacement from {u: 2, n: 2, v: 2, l: 5, j: 2, a: 1}.
1/546
Three letters picked without replacement from ssssssssssssussssss. Give prob of sequence ssu.
1/19
Calculate prob of sequence yooy when four letters picked without replacement from zyiyhoooyxxzyxy.
1/273
What is prob of sequence mx when two letters picked without replacement from cdjxncm?
1/42
Two letters picked without replacement from {m: 2, k: 5}. What is prob of sequence kk?
10/21
Calculate prob of sequence uzm when three letters picked without replacement from {u: 5, w: 1, z: 10, m: 1}.
5/408
Calculate prob of sequence cxjs when four letters picked without replacement from {c: 5, x: 1, n: 1, s: 1, j: 1}.
5/3024
Two letters picked without replacement from uvvruvcvvvcvvv. What is prob of sequence vu?
9/91
What is prob of sequence tu when two letters picked without replacement from {j: 2, k: 2, t: 2, u: 8}?
8/91
Calculate prob of sequence ozoz when four letters picked without replacement from zooooozooooozo.
5/182
Calculate prob of sequence cobo when four letters picked without replacement from bkbcebwkbowcoookcwko.
2/969
Three letters picked without replacement from {d: 8, s: 1, m: 6, y: 1}. Give prob of sequence sdy.
1/420
What is prob of sequence en when two letters picked without replacement from {n: 1, j: 1, e: 2, z: 4, g: 5, p: 2}?
1/105
Three letters picked without replacement from yyyqqqqqqxqqyxqg. What is prob of sequence yqy?
9/280
Three letters picked without replacement from {b: 1, d: 4, y: 4, k: 2}. Give prob of sequence kdd.
4/165
What is prob of sequence yyvj when four letters picked without replacement from {y: 3, v: 6, d: 1, j: 2}?
1/165
What is prob of sequence hhj when three letters picked without replacement from {x: 1, j: 2, y: 3, h: 2, f: 3, z: 1}?
1/330
What is prob of sequence yyf when three letters picked without replacement from {f: 5, y: 5}?
5/36
Four letters picked without replacement from iiriiihiiirihiiir. What is prob of sequence riii?
33/476
Calculate prob of sequence dbd when three letters picked without replacement from dokokbdokh.
1/360
Calculate prob of sequence ttr when three letters picked without replacement from {s: 4, t: 5, r: 2, j: 2}.
10/429
Four letters picked without replacement from nssnsnn. Give prob of sequence nsss.
1/35
What is prob of sequence tktk when four letters picked without replacement from {k: 5, t: 7}?
7/99
Three letters picked without replacement from hhzhhhzhhhz. What is prob of sequence zzz?
1/165
Calculate prob of sequence gg when two letters picked without replacement from lsrfrrrsggfrflllsffl.
1/190
What is prob of sequence ojoa when four letters picked without replacement from {j: 1, s: 1, i: 1, o: 2, a: 2}?
1/210
Four letters picked without replacement from {m: 5, h: 1, e: 1, t: 2}. What is prob of sequence memt?
5/378
Four letters picked without replacement from xpppppxppxxpppxpxpp. What is prob of sequence xppp?
143/1292
Four letters picked without replacement from ihchihchhhcciihc. Give prob of sequence hhcc.
1/52
What is prob of sequence fffo when four letters picked without replacement from {j: 6, a: 2, n: 2, o: 1, f: 7}?
7/2448
Three letters picked without replacement from llllllgsllslssgg. Give prob of sequence sgs.
3/280
What is prob of sequence llo when three letters picked without replacement from oolooloooooolooo?
13/560
Four letters picked without replacement from {g: 3, y: 17}. Give prob of sequence yggg.
1/1140
Three letters picked without replacement from kzzikpzzw. Give prob of sequence zzi.
1/42
Three letters picked without replacement from {d: 3, s: 4, m: 2, x: 2}. Give prob of sequence dss.
2/55
What is prob of sequence vvp when three letters picked without replacement from vovvpopp?
3/56
Four letters picked without replacement from aiaoabaaiboaaba. Give prob of sequence bbao.
4/1365
Two letters picked without replacement from qcqccqqqqqcccqcq. Give prob of sequence qq.
3/10
Calculate prob of sequence qgqg when four letters picked without replacement from qggqggggqqqqggqqgq.
6/85
Two letters picked without replacement from {x: 7, a: 6, d: 2}. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
((o*o**0)/o**6)/(o**(-5)/((o*o/(o/o**(1/5)*o))/o)))/(o**0/(o*o/o**(-6)*o)*(o/(o*o/(o/(o*o*o**(-3/7)))*o)*o)/o**(-1/4)) assuming o is positive.
o**(1333/140)
Simplify (((p/(p/(p/(p*p**(4/9))))*p**(-1/50))**(2/19))**(-3/10))**(-37) assuming p is positive.
p**(-407/750)
Simplify ((f/f**(-25))/f**(-6/17)*f**(-19/3)*((f/f**(5/8))/f)/f*f*f)**(-26) assuming f is positive.
f**(-108173/204)
Simplify i**(-33)*(i/i**(-2/3))/i*i**(2/19)/((i/((i/(i**(-34)/i))/i))/i*i) assuming i is positive.
i**(101/57)
Simplify b*(b*b*b**(-1/2))/b*(b/((b**(5/2)*b)/b))/b*((b*b/(b**0/b)*b)/b)**(4/9)*((b**(-1))**22)**(-35) assuming b is positive.
b**(2311/3)
Simplify ((n/(n*n/n**(1/7)))/(n*n**(-4)*n))/(n**43/(n**(-32)/n)) assuming n is positive.
n**(-524/7)
Simplify ((o/o**(2/13))**(4/13))**(-6)*o**5*((o*o**3)/o)/o*(o/((o/(o**(-2/5)*o))/o))**(-2/21) assuming o is positive.
o**(93791/17745)
Simplify ((u*u*u**(2/5))**(-5)/((u*u*u**(2/15))/u**(-6)))/(u/(u*u*u*u**(4/3)/u*u*u*u)*u*u/(u*u*(u**(1/5)/u)/u))**(-2/9) assuming u is positive.
u**(-2824/135)
Simplify ((c/(c/c**0))**38/(c/(c**(-2)*c)*c*(c/(c/((c*c**(-1/10)/c*c)/c*c)))/c))/((c**(-1))**(-11/4)/((c/(c/(c/(c/c**(-2/21)))))/c**2)) assuming c is positive.
c**(-3253/420)
Simplify (((k*k*k**(-1))/k**(-2))/(k**(2/7)/k**(-1/5)))/((k/k**4)/k*k**(2/7)*(k*(k**(-2/9)*k)/k)/((k*k**(2/7))/k)) assuming k is positive.
k**(1807/315)
Simplify ((((x**(2/17)/x)/x*x*x**(5/4))**(-16))**(9/5))**(-1/24) assuming x is positive.
x**(15/34)
Simplify ((u**(-3)/u)/u*u*u*u)/(((u*u**(-1/15))/u)/u)*((u/u**(1/2))/u)**(-21)*((u**(-1/3))**(-9/5))**(-46) assuming u is positive.
u**(-541/30)
Simplify ((p*p*p/p**(-2))**(-5/4)*(p/p**(1/5))**(7/3))/(((p*p**(-7/3)*p)/p*p**(2/13))/((p*p*p**(-6)*p)/(p*p**(-2/21)))) assuming p is positive.
p**(-38813/5460)
Simplify (h**(-2)/h**(-6))/(h*h**1)**(5/7)*(h**1*h*h**(1/4))/(h*h**(-2/5)*(h/h**(-2))/h) assuming h is positive.
h**(311/140)
Simplify (v/v**(-8)*v**(-1/6)*(v*v/(v*v**(-2/19)))/v**7)/((v/(v*v/v**7))/v*v/(v/(v*(v**(-3/5)*v)/v)))**22 assuming v is positive.
v**(-66041/570)
Simplify (w**6/(w**(-2)*w)*w**(-2/5)/(w/(w*w*w*w**(-4)*w*w)))/((w**0)**(8/5)*(w**1/w)**(-31)) assuming w is positive.
w**(33/5)
Simplify ((h**1)**(2/13))**(-1/12)*h/h**4*h**(-3/2)*h*h**(2/17)*(h**(4/5)/h)/h assuming h is positive.
h**(-15233/3315)
Simplify (n**1)**(-44)/((n**(-2)*n)/(n/((n**4*n)/n)))*((n/(n*n**(2/3)*n))/n)**(-2/11)/(n**(-1)/(n*n**0/n*n)) assuming n is positive.
n**(-1436/33)
Simplify ((g**(2/3)*g**17)/((g**(1/5)/g)/(((g/((g**(-3/2)*g)/g))/g*g*g)/g)))**(-5/3) assuming g is positive.
g**(-629/18)
Simplify ((u*u**1/u*u)/u)**(-2/47)/(u**0*u*u)**46*(u/(u**(-2/7)*u))/u**0*(u*u**(3/2))/((u*(u/(u*u/(u*u*u**(1/2)))*u)/u)/u*u*u) assuming u is positive.
u**(-30517/329)
Simplify ((r**(-2/7))**(-5/6)*(r**(1/4))**25)/(r**(1/2)*((r**(-6)*r)/r)/r*(r**(-1/4))**(-1/29)) assuming r is positive.
r**(15809/1218)
Simplify ((q/q**(1/2))**15*(q*q**(30/7))/(q/q**40))**(-17) assuming q is positive.
q**(-12325/14)
Simplify o**(-2/17)/(o/(o**(-6)/o))*o**(1/5)/(o/o**1*o*o*o)*o**3*o*o**1*o*o**6*o**(-1/3)*o assuming o is positive.
o**(446/255)
Simplify (g/g**(-9))**(-35/2)*(g**(-2/51))**(-29) assuming g is positive.
g**(-8867/51)
Simplify (n**(-2/7)/n**4*n*n**20*n*(n/(n*(n*(n**(-4/3)*n)/n)/n)*n*n)/n)**29 assuming n is positive.
n**(12209/21)
Simplify (y/(y**3/y*y)*y*y**3/y*(y**(2/11))**(-1/9))**11 assuming y is positive.
y**(97/9)
Simplify (v**(-8/9)/((v*v/v**11*v*v*v*v)/v))**(-15/7)/((v**(2/5)/v)**(5/19)*(v**2/v)**(-42)) assuming v is positive.
v**(12451/399)
Simplify ((u/u**(-20))/(u**(4/3)*u)*u/(u/(u/(u**(1/7)*u))*u)*(u/(u/(u**6/u))*u*u)/u)**(-37) assuming u is positive.
u**(-18278/21)
Simplify f**(3/7)*(f**(-1/9)*f)/f*f*f**(-1/3)*f*f*f**(-1)*((f**(2/7)/f)/f)**(-49)*(f*f**1)/(f**(-7)/f) assuming f is positive.
f**(6047/63)
Simplify (w*w**(-4)*w/(w**(-1/3)*w))/((w/(w*w**(-3/7)))/w**3)*(((w/((w/(w*w**(-1))*w)/w))/w)**(-50))**(-27) assuming w is positive.
w**(-28352/21)
Simplify u**8/(((u*u**(-2/17)*u)/u*u)/u)*((u*u**(2/19))/u*u*u)/(u/(u*u**(-3/7)))*((u*u/(u/u**(-5/4)))/(u**(-10/7)*u))**11 assuming u is positive.
u**(97301/9044)
Simplify (w**(-31)/w)/(w**(-2/13)/w)*(w/(w**(-35)/w)*w)/(w**(6/11)*w) assuming w is positive.
w**(802/143)
Simplify ((u/(u**(-2/5)/u)*u*u)**(-10/7)/(u**(2/7))**1)/(((((u*u**(-1/3))/u)/u)/u*u**(2/3))/(u**(-2/9)*u**(-8))) assuming u is positive.
u**(-827/63)
Simplify (g/g**4*g**(-2))**(2/51)/((g**2)**(-1/22))**(-5) assuming g is positive.
g**(-365/561)
Simplify (z**(-1/8)/((z**(1/2)/z)/z*z))**(3/11)*(((z**(-5/4)/z)/z)/z**1)/(z**(-2/5)/(z/(z/(z*z**(-1))))) assuming z is positive.
z**(-1649/440)
Simplify (k*k/k**(4/17)*k**21)/(k**(-2/11)/(k*k**34*k*k)) assuming k is positive.
k**(11210/187)
Simplify w/w**(-3)*w/(w*(w/((w/((w/w**(-7)*w)/w)*w)/w))/w*w)*(w*w*w**(-1)*w)**(-37)*(w**2/w*w*w**(1/6))**13 assuming w is positive.
w**(-299/6)
Simplify ((((f*f**(3/5)*f)/(f**4/f))/(f/(f/(f*f/(f*f**(-2/3)*f*f))))**32)**(-32))**(-16) assuming f is positive.
f**(78848/15)
Simplify (((w**8/(w*w/((w**7/w*w)/w)))**(-7/4))**42)**(-30) assuming w is positive.
w**26460
Simplify (((z**(3/7)*z)/(z*z/(z/z**(-2/7))))/(z**0)**(1/34))/(z**(-5)/(z*z**(-1/7)*z)*(z/(z*z**2/z))/(z*z*z**(-2/7)/z)) assuming z is positive.
z**(65/7)
Simplify ((w**(-2/59)/w)/w*w)**(3/4)*w**(1/3)*w*w/(w*w**(-4/17)) assuming w is positive.
w**(9547/12036)
Simplify ((k/(k*k**(-1/15)*k*k)*k/(k**(1/5)/k)*(k**(-4))**(-44))**(-10))**(-4/21) assuming k is positive.
k**(21104/63)
Simplify ((j**0*j)/((j**3*j)/j))**(-31/3)/((j**(-2/3))**(21/4)/(j**0*j*j**4)) assuming j is positive.
j**(175/6)
Simplify s**(-1/2)/(s*s**(-1)/s)*(s*s*s/(s*s/s**(1/2)))**(-50)*(s/(s**5*s)*(s*s*s/(s/(s*s*(s*s**(-1))/s*s)))/s)**(-7/3) assuming s is positive.
s**(-419/6)
Simplify (q*q**(1/4)*q*q**(-6)/q*q*q*q**(-3)*q*(q*q**(-3)*q)/q*q)/((q*q**(-1/2)/q)**24*(q/q**(2/5))**(3/4)) assuming q is positive.
q**(29/5)
Simplify x/x**2*x**(-2/15)*(x**(-1/5)/x)/(x**0/x)*(x**(3/11)*(x/(x**4/x))/x)**(1/63) assuming x is positive.
x**(-106/77)
Simplify ((m**(-4))**(1/25))**(-41)*m**(-3/10)/(m*m**1)*m*m**(1/4)*m*m/(m**(-1/2)/m) assuming m is positive.
m**(901/100)
Simplify ((t**9*t*(t**(-4)/t)/t)/(t**11*t**(-10/9)/t))**(-36) assuming t is positive.
t**176
Simplify (d**3/d**5)/(d*d**(2/3)*d)**(-3/2)*(d**7/d**3)/(d**(5/4)/d**(-7)) assuming d is positive.
d**(-9/4)
Simplify (h/(h*h**7))**(-35)/((h*h/(h/(h**(-6)/h))*h)/(h*h**(-5/16))) assuming h is positive.
h**(4011/16)
Simplify ((y**(-8))**25/(y/(((y*y**9*y)/y)/y)*y*y**(3/16)))**(-47) assuming y is positive.
y**(145277/16)
Simplify (((f*f*f**(-2/5)*f)/(f*f*f/f**(-1/7)))/(f**(-1/2)*f**(2/15)))/((f**(1/2)*f**(-5))/((f*f**(-2/5)*f)/f)**50) assuming f is positive.
f**(3604/105)
Simplify ((m**(-8)*m**(5/4)/m)/((m/(m**(-1)*m))/((m**4*m)/m)))/((m*m*m*m*m**(-2))**(-4/7)*m*m**(-1)*m*m*m**8/m*m) assuming m is positive.
m**(-381/28)
Simplify (h**(-5)/h**(2/5)*(h/h**(-5))/h**(1/5))/((h/(h/(h**(2/3)*h)*h))**(2/129)*h**6/h*h**(-5)) assuming h is positive.
h**(754/1935)
Simplify (p/(p/p**6*p)*p**(-1/5)*p**(-2/17)*p**(-3))/(p*(p*p/p**2)/p*p**5)**(-3/11) assuming p is positive.
p**(2848/935)
Simplify (((h*h/((h*h*h/h**(-2/7)*h)/h))/h**17)/(h**(2/9))**(-49))**31 assuming h is positive.
h**(-14446/63)
Simplify ((f**(7/4)/(f/(f*f**(-11)*f*f)))/(f**(-4/5))**(10/3))**(-3/22) assuming f is positive.
f**(5/8)
Simplify (((q*q/(q/(q*(q*q**(-1/2))/q)))/q)/q)**(2/117)/(q*q/q**7*q/q**(-7))*((q/q**(2/9))/q**(7/2))**28 assuming q is positive.
q**(-1030/13)
Simplify (((p/((p/(((p/((p/(p/(p*p**(-2)/p)))/p))/p)/p))/p)*p)/p)**(-2/17)*(p**(-2/15))**(-1/14))**(-2/127) assuming p is positive.
p**(1226/226695)
Simplify (x**(2/3)*x*x*x**(-3))**6/((x**(-5/4)/((x/(x*x**(1/5)))/x))/(x**(1/8)/(x*x*x**3))) assuming x is positive.
x**(-273/40)
Simplify (f**16)**(-1/48)/(f/f**49*f**(19/2)) assuming f is positive.
f**(229/6)
Simplify (((s**(-2)/s)/(s/s**(-1/3))*((s**6*s)/s)/(s*s**(4/7)))**47)**44 assuming s is positive.
s**(4136/21)
Simplify w**(3/4)*w*w**(-3)/w*w**(3/5)/w*w*w/w**(-3)*(w**(-1/3))**(3/25)*w*((w*w**(-1/5)/w)/w)/w*w/(w*w/w**(-1))*w assuming w is positive.
w**(11/100)
Simplify (s**(-2/5)*s)**(1/32)*(s/(s**(-1/2)/s))/s**(2/7)*(s*s*s**0)**19/((s*s**(-2/9))/s**(-6)) assuming s is positive.
s**(337229/10080)
Simplify ((n**0)**(-3
|
{
"pile_set_name": "DM Mathematics"
}
|
nder when 0 + -1 - (-18)/2 is divided by b.
2
Calculate the remainder when (-7 + (6 - 0))*-139 is divided by 44.
7
Let z(r) = r**3 - 2*r**2 - 9*r + 17. Calculate the remainder when 110 is divided by z(5).
16
Calculate the remainder when 135 is divided by ((-2)/(-7))/((-15)/(-315)).
3
Suppose t - 3 = 1. Let y be (-1 + 20)/(t - 3). Suppose 84 = 5*d + y. What is the remainder when d is divided by 8?
5
Let d(s) = 32*s**2 - 8*s**2 - 4*s - 1 - 2 + s. Suppose u - 71 - 6 = -3*m, 0 = -5*u + 10. Calculate the remainder when d(-2) is divided by m.
24
Let y = 591 + -494. What is the remainder when 211 is divided by y?
17
Let x be -5*(-2 - -1) - -5. Suppose -189 = -x*u + 231. Calculate the remainder when u is divided by 26.
16
What is the remainder when 210 is divided by 1 + -62*(10/4 + -3)?
18
Let r = -1 - -18. Let m(b) = b**3 + 3*b**2. Let x be m(-3). Suppose -3*g = -2*z - 191, -4*g - z - z + 264 = x. What is the remainder when g is divided by r?
14
Let t(g) = 6*g - 3. Let p be t(-4). Suppose -180 = -5*k + 5*q, 4*k + 3*q = 2*q + 159. Let j = p + k. What is the remainder when 47 is divided by j?
11
Let z = 2528 - 2515. Suppose -x + 15 = -28. Calculate the remainder when x is divided by z.
4
Let z(g) = g**2 + 2*g - 17. Let t be z(4). Suppose t*s + 1000 = 17*s. Calculate the remainder when s is divided by 26.
22
Suppose -5*b + 7*b + 150 = 0. Let z be 6/(-9)*b/2. Suppose -z*a + 2 = -24*a. Calculate the remainder when a is divided by 2.
0
Suppose 187 = 26*v - 333. What is the remainder when v is divided by 7?
6
Suppose 0 = -b + 1, 5*c + b + 0*b = 101. Calculate the remainder when 117 is divided by c.
17
Let t = 15 + -4. Calculate the remainder when 174 is divided by t.
9
Suppose -2*w = -6*w + 324. Suppose 5*x = 8*x - w. What is the remainder when x is divided by 16?
11
Let l(g) = g + 12. Let j be l(-10). Suppose -j*a = 3*t + 4 - 19, a - t - 20 = 0. Calculate the remainder when a*1*(-6)/(-5) is divided by 5.
3
Let l = -291 + 311. Calculate the remainder when 139 is divided by l.
19
Suppose -z - n = -6, -3*z + 5*n + 2 = -0. Suppose 5*o - 4*f - 83 = -0*f, 0 = -z*o + 3*f + 66. What is the remainder when o is divided by 6?
3
Let h(k) = k**3 - 15*k**2 + 25*k + 13. Let z be h(13). Suppose z = -a - 3*a + 5*j + 51, -5*a = 5*j - 30. Calculate the remainder when a is divided by 4.
1
Calculate the remainder when 59 is divided by 1/(-9) - (-2 - 190/9).
13
Let j(a) = 6*a - 24. What is the remainder when 86 is divided by j(12)?
38
Suppose -4*t = -3*h - 10 - 14, -3*t - 3*h - 3 = 0. Suppose -g = 4*g, 21 = t*j - 4*g. What is the remainder when j is divided by 3 + (1 - (5 + -5))?
3
Calculate the remainder when (21/(945/(-288)))/(2/(-50)) is divided by 81.
79
Suppose m + 33 = 4*u, -u + 2*m + 19 = 16. Calculate the remainder when 70 is divided by u.
7
Let z(q) = 2*q**2 + 5*q + 5. Let b be z(-5). Let j = -10 + b. Suppose w = -1207 + 1213. What is the remainder when j is divided by w?
2
Let p(c) = 292*c**2 + 15*c - 20. What is the remainder when p(2) is divided by 20?
18
Let v(y) = y**2 - 10*y + 30. Let q = 64 - 23. Calculate the remainder when q is divided by v(9).
20
Suppose 2*q - 38 = g, -g - 9 - 12 = -q. What is the remainder when 80 is divided by q?
12
Let t(b) = -9*b - 19. Let f(n) = 6*n - 4. Let j be f(0). Calculate the remainder when 150 is divided by t(j).
14
Suppose 0 = -6*o + 3*o - 330. Let s = -1 - o. Calculate the remainder when s is divided by 57.
52
Suppose -67*s = -77*s + 770. What is the remainder when 215 is divided by s?
61
Suppose g + 5 = -4*g. Let x be 5 + -5 + 13*g. Calculate the remainder when 51 is divided by (-1 - (-1 + 1))*x.
12
Let q(x) = -x**3 + 2*x**2 + 5*x - 6. Let n be q(3). What is the remainder when 187 is divided by 3/(-1) + n + 50?
46
Let a(w) = -w**3 + 10*w**2 - 10*w. What is the remainder when a(7) is divided by 14?
7
Let a be (-6)/(-2)*45/27. Suppose 2*x - 5 = 5*k + 34, -a*k - 15 = 0. Suppose 28*s = 27*s + 45. Calculate the remainder when s is divided by x.
9
Let y(z) be the second derivative of z**5/20 - 5*z**4/6 - 4*z**3 + 29*z**2/2 - z. What is the remainder when 114 is divided by y(12)?
27
Suppose 0 = -5*r + 3*f + 38 + 5, 5*f = -2*r + 42. Let h = 8 + r. Calculate the remainder when h is divided by -1 + 1 - (-11 + 0).
8
Calculate the remainder when 2/15*5*(-606)/(-4) is divided by 28.
17
Let h(n) = n**3 - 23*n**2 - 22*n + 11. Let z(a) = -a**2 - a + 233. What is the remainder when z(0) is divided by h(24)?
56
Let o = -34 - -54. What is the remainder when 97 is divided by o?
17
Suppose -405 = 5*f - 14*f. What is the remainder when f is divided by 7?
3
Suppose 41 = n - 2*s, n + 8*s - 11*s = 45. Calculate the remainder when n is divided by 7.
5
Let u(t) = 2*t. Let p be (-1 - 3)*(-3)/(-2). Let h be u(p). What is the remainder when 54 is divided by (-150)/h - (-6)/4?
12
Let y(k) = k**3 + 6*k**2 - 11*k - 8. Let c be y(-8). Let m = 11 - c. Calculate the remainder when m is divided by 12.
11
Let i(d) = -d + 2 + 5*d**2 + 3 - 5*d + d**3. Let g = 9 + -7. What is the remainder when i(-6) is divided by g?
1
Let q be 2/(-3 - -4) + 1. Suppose 0*n - n + 23 = 5*c, n - 5*c = q. What is the remainder when n is divided by 4?
1
Let r(l) = -17 + l - 22*l + 3. Let w be r(-4). Let d = 102 - w. What is the remainder when d is divided by 11?
10
Suppose 0 = -0*j + 5*j. Let p(w) = -w**3 - w**2 + 22. Suppose -2*t + 112 = 3*u + 71, 77 = 4*t + 5*u. What is the remainder when p(j) is divided by t?
9
Suppose 850 = l - f, -5*l = f + 3*f - 4295. Calculate the remainder when l is divided by 66.
63
Let i = 181 - 148. What is the remainder when 83 is divided by i?
17
Let j(k) = -k**2 - 7*k + 2. Let c be j(-7). Suppose -c*r = -u - 2*u - 24, 3*r = 2*u + 31. What is the remainder when 52 is divided by r?
7
Calculate the remainder when 269 is divided by 2*56/(-7)*4/(-4).
13
Suppose -2 = -2*b, 2*h - 4*b + 1 = b. Suppose h*y - 9 = 27. Suppose 16*m = -198 + 358. What is the remainder when y is divided by m?
8
Suppose 64 - 142 = -2*t. What is the remainder when 108 is divided by t?
30
Let a(x) = x**2 - 10*x + 8. Calculate the remainder when -1 - -39 - (-4)/(-4) is divided by a(11).
18
Let i(q) = 6*q - 2. Let s be i(1). Let c(x) = 5*x - 2 - s*x + 2*x + 3*x**2. Calculate the remainder when c(-6) is divided by 23.
19
Let z be (9/(-15))/((-1)/(-5)). Calculate the remainder when 103 is divided by ((-7)/7)/(z/63).
19
Suppose 151 = o - 3*y, -5*o - 3*y = y - 698. Calculate the remainder when o is divided by 9 + 1 - (-10)/5.
10
Suppose 4*j + r = -0*r + 269, -4*r - 12 = 0. Calculate the remainder when 338 is divided by j.
66
Let t(g) = g**2 + 9*g + 9. Let r be t(-8). Let d = 5 - r. What is the remainder when 24 + (6 - d - 2) is divided by 13?
11
Suppose -v + 28 = -2. Let f = v + 0. What is the remainder when 119 is divided by f?
29
Let p = -30 + 40. What is the remainder when 6/(-9) - (-258)/9 is divided by p?
8
Let j(s) = 186*s - 2208. Calculate the remainder when 186/2*(-2)/(-2) is divided by j(12).
21
Let p = -10 - -2. Let a = 13 + p. Suppose -41 = -9*c + 22. Calculate the remainder when c is divided by a.
2
Let x be (-1)/3*945/(-9). Suppose 0 = 4*u - 7*u + 75. What is the remainder when u is divided by x/4 - (-4)/16?
7
Suppose -45 = 2*t + t - 2*r, 5*t + 62 = -r. Let c = t + 19. What is the remainder when 10 is divided by c?
4
Suppose -331 = -13*w + 228. What is the remainder when w is divided by 11?
10
What is the remainder when 20 is divided by ((-336)/(-108))/((-4)/(-18))?
6
What is the remainder when 341 is divided by 770/44*(-2 - -4)?
26
Let m = -1121 - -1496. Calculate the remainder when m is divided by 19.
14
Suppose -4*p = -16, 0*t - 31 = -t - 3*p. What is the remainder when 354/5 + 2/10 is divided by t?
14
Let t = -273 + 315. Calculate the remainder when t is divided by 16.
10
Let o(f) = -f**3 + 5*f**2 - 3*f - 2. Let u be o(3). Let z(p) = -13 - 3*p + 4*p - 9*p - u*p. Calculate the remainder when z(-6) is divided by 20.
17
Let b(y) = 6*y**3 + y**2 - y + 1. Let s be ((-2 - 0) + 0)/(2/(-47)). Let z = s - 1. What is the remainder when z is divided by b(1)?
4
Suppose 8 = -5*y - 3*n, y + 3*n = -n - 5. Suppose -3*u = -u - 48. Calculate the remainder when u is divided by (-1 - 19/y)/2.
6
Suppose 91*s = 99*s - 88. Calculate the remainder when 219 is divided by s.
10
Let i be (18/24)/((-1)/
|
{
"pile_set_name": "DM Mathematics"
}
|
35 a factor of 21746165?
True
Is 251283048 a multiple of 24?
True
Is 145 a factor of 173909375?
True
Is 20 a factor of 857094850?
False
Is 526732316 a multiple of 671?
True
Is 20302526 a multiple of 536?
False
Is 2851 a factor of 33185640?
True
Is 345455948 a multiple of 167?
False
Is 6813 a factor of 379456848?
True
Does 181 divide 49095888?
True
Is 932 a factor of 145754548?
True
Is 262720674 a multiple of 149?
True
Is 1768 a factor of 223620176?
True
Is 106303625 a multiple of 797?
False
Does 155 divide 13179960?
True
Does 3 divide 862475?
False
Is 819 a factor of 1499782465?
False
Does 4 divide 23100173?
False
Is 856 a factor of 200783047?
False
Is 86485930 a multiple of 67?
False
Is 12 a factor of 385977804?
True
Is 5 a factor of 2892180?
True
Is 857425146 a multiple of 12?
False
Is 251 a factor of 14205490?
False
Is 31914714 a multiple of 1078?
False
Does 75 divide 959866094?
False
Does 4 divide 12736441?
False
Is 424912851 a multiple of 33?
True
Does 245 divide 51414278?
False
Is 2719 a factor of 11814055?
True
Is 14 a factor of 824443?
False
Is 190 a factor of 1016086510?
False
Is 59667218 a multiple of 251?
True
Does 79 divide 109391570?
False
Is 237249 a multiple of 29?
True
Is 434 a factor of 2908841068?
False
Does 6 divide 54199530?
True
Is 767 a factor of 27047488?
True
Is 214377323 a multiple of 19?
True
Does 41 divide 324935742?
True
Is 231 a factor of 4406586492?
True
Is 127714960 a multiple of 365?
True
Does 3729 divide 6613639?
False
Does 131 divide 119121706?
True
Does 38 divide 1114692?
True
Is 176705188 a multiple of 44?
True
Is 16447903 even?
False
Is 1622450999 a multiple of 3474?
False
Is 137550775 a multiple of 6653?
True
Does 1147 divide 75174380?
True
Does 335 divide 3365572?
False
Is 1063 a factor of 58253463?
True
Does 149 divide 350330439?
True
Does 252 divide 69758892?
True
Does 602 divide 4556019343?
False
Is 412958473 a multiple of 42?
False
Does 11 divide 91545421?
True
Is 5 a factor of 758891055?
True
Does 13 divide 464852687?
True
Does 29 divide 1627814834?
True
Is 201 a factor of 19483533?
True
Does 2149 divide 423484089?
True
Is 573 a factor of 29926644?
True
Is 63 a factor of 138840219?
True
Is 752 a factor of 92153982?
False
Is 8344693 a multiple of 35?
False
Does 2 divide 13254364?
True
Is 11 a factor of 214205387?
True
Does 51 divide 37253391?
False
Is 429563910 a multiple of 1506?
True
Is 131 a factor of 83446083?
True
Does 17 divide 2546933?
False
Is 17 a factor of 212748100?
False
Is 27477529 a multiple of 8?
False
Is 46274186 a multiple of 75?
False
Is 9755 a factor of 1827241480?
False
Does 37 divide 355497776?
True
Is 109 a factor of 826153627?
False
Is 20 a factor of 755284483?
False
Does 8 divide 145101072?
True
Is 970444223 a multiple of 381?
False
Is 4880846 a multiple of 263?
False
Is 1972466050 a multiple of 9714?
False
Is 373997061 a multiple of 1613?
False
Does 3 divide 1275297282?
True
Is 38 a factor of 1245184?
True
Is 87336 a multiple of 6?
True
Is 293015073 a multiple of 169?
True
Does 24 divide 78038472?
True
Does 276 divide 60493128?
True
Is 232509802 a multiple of 38?
True
Is 245 a factor of 71344832?
False
Is 49 a factor of 106575931?
True
Is 14 a factor of 1155439982?
False
Is 23 a factor of 104925047?
False
Does 22 divide 54560704?
True
Is 3646069 a multiple of 2?
False
Is 5540689659 a multiple of 14?
False
Does 373 divide 122008300?
True
Is 223883363 a multiple of 98?
False
Does 73 divide 2443675?
True
Is 33897150 a multiple of 1575?
True
Is 329 a factor of 120409723?
True
Is 32945285 a multiple of 21?
False
Does 1725 divide 884689511?
False
Is 20 a factor of 120628600?
True
Is 513723056 a multiple of 98?
True
Does 299 divide 287850589?
True
Does 1495 divide 96248887?
False
Does 33 divide 8952180?
False
Is 20 a factor of 305215800?
True
Does 1181 divide 100358691?
False
Does 1158 divide 456926135?
False
Is 2657874277 a multiple of 3947?
True
Is 31405465 a multiple of 299?
True
Is 220 a factor of 1321453445?
False
Is 1924784160 a multiple of 312?
True
Is 278079002 a multiple of 1620?
False
Is 12 a factor of 139598945?
False
Does 1730 divide 1075807420?
True
Is 5991241 a multiple of 22?
False
Is 1523709942 a multiple of 339?
False
Does 90 divide 222404760?
True
Is 124 a factor of 24682200?
True
Is 68 a factor of 87302393?
False
Is 972 a factor of 152768268?
True
Does 116 divide 90221365?
False
Does 17 divide 340000221?
True
Does 1562 divide 156232802?
True
Does 30 divide 243984721?
False
Is 2180701259 a multiple of 1634?
False
Is 591621438 a multiple of 56?
False
Is 653997598 a multiple of 522?
False
Is 145 a factor of 219553635?
True
Does 1279 divide 102193379?
True
Does 2 divide 74325512?
True
Is 15 a factor of 68532532?
False
Does 12627 divide 1022654238?
False
Is 3865620 a multiple of 30?
True
Does 196 divide 67611180?
True
Does 9 divide 59670570?
False
Does 160 divide 28515360?
True
Is 1379193641 a multiple of 229?
False
Is 206 a factor of 3521776?
True
Does 30 divide 452798670?
True
Is 19 a factor of 881361949?
True
Is 67410507 a multiple of 26?
False
Is 250947602 a multiple of 603?
False
Is 1304802363 a multiple of 129?
True
Does 135 divide 3258957?
False
Does 76 divide 1625240240?
True
Does 737 divide 66933072?
False
Does 2 divide 2258755?
False
Does 280 divide 484172251?
False
Is 54944784 a multiple of 3088?
True
Does 28 divide 150878196?
True
Is 737701219 a multiple of 99?
False
Is 243176880 a multiple of 240?
True
Is 10239913 a multiple of 62?
False
Is 1046848198 a multiple of 11?
True
Is 670799415 a multiple of 15?
True
Is 360818630 a multiple of 590?
True
Is 2299717 a multiple of 32?
False
Does 26 divide 27761344?
True
Is 2605 a factor of 217887264?
False
Is 362 a factor of 1785959076?
False
Is 13 a factor of 604229170?
False
Is 194596831 a multiple of 11?
True
Is 46193608 a multiple of 72?
False
Is 155 a factor of 4576751?
False
Is 585461470 a multiple of 187?
True
Is 57 a factor of 130158?
False
Does 118 divide 31889169?
False
Is 43 a factor of 33238699?
True
Is 472 a factor of 50557138?
False
Is 612 a factor of 34802604?
True
Is 435337601 a multiple of 77?
False
Does 96 divide 23337413?
False
Does 9 divide 10053392?
False
Is 23 a factor of 1603883882?
False
Is 38 a factor of 25383406?
False
Is 26 a factor of 615769916?
False
Is 163 a factor of 20329197?
True
Is 41 a factor of 25347266?
True
Does 188 divide 76767168?
True
Does 14 divide 109908633?
False
Is 46 a factor of 1093462689?
False
Is 5 a factor of 944753509?
False
Is 3383190 a multiple of 5?
True
Is 109999112 a multiple of 152?
False
Is 8168 a factor of 1047125998?
False
Does 3 divide 39255115?
False
Is 2930200932 a multiple of 9854?
False
Is 264512575 a multiple of 113?
False
Is 8 a factor of 97280233?
False
Is 10 a factor of 15674670?
True
Is 232798906 a multiple of 38?
True
Does 359 divide 201248220?
True
Does 56 divide 44686320?
True
Does 534 divide 154225608?
True
Does 25 divide 2345450?
True
Is 8 a factor of 1465392?
True
Is 14311865 a multiple of 478?
False
Is 250139869 a multiple of 2210?
False
Does 9 divide 286938?
True
Does 13 divide 3744275696?
False
Is 90 a factor of 196468470?
True
Does 3315 divide 817589678?
False
Is 29311290 a multiple of 45?
True
Is 2229 a factor of 21983957?
False
Does 690 divide 963326561?
False
Is 53 a factor of 14341282?
False
Does 447 divide 36444103?
False
Is 189718530 a multiple of 20?
False
Is 46807880 a multiple of 1396?
True
Does 464 divide 24570192?
True
Does 536 divide 3204744?
True
Does 20 divide 1467372880?
True
Does 23 divide 173838123?
False
Is 10 a factor of 79204272?
False
Is 45901719 a multiple of 3?
True
Is 59649476 a multiple of 37?
True
Is 128408561 a multiple of 1190?
False
Is 570895667 a multiple of 796?
False
Is 237206585 a multiple of 395?
True
Is 484573157 a multiple of 15?
False
Is 5409266 a multiple of 11?
False
Is 259494984 a multiple of 62?
False
Is 24272280 a multiple of 382?
True
Does 25 divide 494940388?
False
Is 1227 a factor of 366873?
True
Does 15 divide 44798145?
True
Is 30258214 a multiple of 1040?
False
Is 9 a factor of 14486552?
False
Does 12 divide 91077128?
False
Is 6 a factor of 4491732?
True
Does 2800 divide 5938973?
False
Is 4 a factor of 282053256?
True
Does 1188 divide 588445853?
False
Is 1023900922 a multiple of 799?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
e 3 + -9 + (1 - -2). What is y(u)?
-3
Let i(p) = -6*p - 1. Let s(r) = -15*r - 6. Let c(d) = 10*d + 4. Let w(h) = 8*c(h) + 5*s(h). Let a(j) = 3*i(j) + 4*w(j). Determine a(-5).
-5
Suppose 3*j + 3 + 9 = 0. Let n(x) = 5*x + 5. Let w(a) = a - 1. Let h(s) = n(s) - 4*w(s). Calculate h(j).
5
Let q(o) = o - 1. Suppose 5*k = 4 + 1, -8 = f - 2*k. Let y be (2/f)/(3/(-72)). Let u = y + -8. Determine q(u).
-1
Let x(p) = -p**3 + p**2 + p. Let k(l) = -21*l**3 + 6*l**2 + 8*l - 1. Let z(u) = k(u) - 6*x(u). What is z(1)?
-14
Let m(b) = 2*b**3 - 2*b**2 - 4*b + 5. Let p(h) = h**3 + h**2. Suppose -2*t - o = 2, -5*o + o + 2 = -2*t. Let n(l) = t*m(l) + 3*p(l). Give n(-4).
-5
Let d(o) = -o**3 + 5*o**2 + 0*o**2 - 7 + 5*o - o**2. Let b be 4/(-8) + 22/4. Give d(b).
-7
Let c(q) = q - 6. Let g(u) = -6*u + 31. Suppose 5*t + 16 = -3*s + 6, -s - 8 = 4*t. Let l(i) = t*g(i) - 11*c(i). Let x be (-1)/2*-2 - -3. Determine l(x).
8
Let f(l) = -8 + 11 + l**2 + 4 + l. Suppose 4*p - 12 = -n, 5*n + 2*p = -0*n + 6. Give f(n).
7
Let i(g) = -7*g**2 + 2*g - 1. Let q(k) = k**2 - k - 1. Let c(d) = d**2 + 6*d + 2. Let m be c(-6). Let x be q(m). Let z be (-2)/x*3/(-6). What is i(z)?
-6
Let m(z) be the third derivative of -z**8/10080 + z**7/840 - z**6/720 - 2*z**5/15 + 3*z**2. Let l(w) be the third derivative of m(w). Give l(4).
-9
Let r(i) = -5*i - 9. Suppose -4*p - 10 = -3*p. Let c = 17 + p. Let w(u) = -6*u - 10. Let d(b) = c*r(b) - 6*w(b). Give d(0).
-3
Let n(c) = -c**2 + 3*c**2 - 42*c**3 + 41*c**3. What is n(2)?
0
Let k(g) be the third derivative of -g**4/24 - 4*g**3/3 + g**2. Let u be 12/(-2) - (0 + 0). Calculate k(u).
-2
Let k(j) = 2*j**2 - 2*j - 2. Let n = 0 - 2. Let a = 5 + n. Suppose -p - 4 = 3*h, -a + 1 = -3*p - 2*h. Give k(p).
2
Let z = -3 + 3. Let b(n) be the second derivative of -1/2*n**2 - 1/2*n**3 - 1/20*n**5 + n - 1/4*n**4 + z. What is b(-3)?
8
Let t be 10/(-4)*(-24)/20. Let a(n) = 5 + 2*n**t - n + 0*n**3 + 3*n**3 - 6*n**3. What is a(0)?
5
Let w(r) = 7*r + 12. Let p(v) = 3*v + 6. Let m(x) = -5*p(x) + 2*w(x). Calculate m(-6).
0
Let p(i) = 3*i**2 - i + 1. Let w be p(1). Let b(k) = -3*k**2 + k + 9 - k**w - 9. Calculate b(-3).
-3
Let j(d) = -6*d**3 + d**2 + d - 1. Let c be j(1). Let a(i) be the third derivative of 1/12*i**4 + i**2 + 0 + 0*i + 7/6*i**3. What is a(c)?
-3
Let a(v) = -v - 1. Let n(h) = 2*h + 1. Let d(x) = -4*a(x) - 3*n(x). Determine d(1).
-1
Let u(y) = y + 1. Let n(q) = 4*q + 7. Let l(a) = n(a) - 5*u(a). Determine l(-4).
6
Let d(r) be the first derivative of -r**3/3 + r**2/2 - 10. Determine d(4).
-12
Let o = 46 - 31. Let x be 2/5 + 39/o. Let r(c) = -c**2 + 2*c + 1. Give r(x).
-2
Let h(k) be the first derivative of -k**5/120 - k**4/24 + k**3 + 3. Let p(i) be the third derivative of h(i). What is p(-3)?
2
Let r(j) be the second derivative of j**7/2520 - j**6/240 - j**4/12 + 2*j. Let m(x) be the third derivative of r(x). Let w be 0 + 3 - (-2)/(-2). Determine m(w).
-2
Let w(j) = -j**3 + 0*j + 2*j + 7*j**3 - 2 + 0*j - 8*j**2. Let t(p) = 4*p - 4*p - 2*p + 9*p**2 + 2 - 7*p**3. Let v(d) = 5*t(d) + 6*w(d). Give v(3).
4
Let q(t) = t**3 + 3*t**2 + t - 2. Let u be q(-3). Let l = 7 + u. Let x(y) = 1 - y**l + y - y**3 + 2 + 2. Calculate x(0).
5
Let c(t) = -t**2 + 1. Let z(o) = -6*o**2 - o + 2. Let g(i) = c(i) - z(i). What is g(1)?
5
Let t(p) = -14*p + 10. Let k(s) = -6 + 7 + 6 - 9*s. Let b(o) = -8*k(o) + 5*t(o). Determine b(5).
4
Suppose -4*o = 3*r + 5 - 3, 0 = -5*r - o + 8. Let b(w) = w**3 - 2*w**2 + 4*w - 3. Give b(r).
5
Let k(j) be the third derivative of j**6/120 - j**5/20 - j**3/3 - 5*j**2. What is k(3)?
-2
Let p(w) = -18*w. Suppose -3*q + 5*q = 2. What is p(q)?
-18
Let b(i) = 1. Suppose -18 = -4*j + 2. Let d(w) = w + 5. Let r(v) = j*b(v) - d(v). Suppose -5*k + 2 = 22. Calculate r(k).
4
Let n(x) = -3*x**3 - x**2 + 14*x + 14. Let v(p) = p**3 - 5*p - 5. Let u(y) = 3*n(y) + 8*v(y). Give u(-3).
-4
Let p(b) = -4*b - 2. Let v(l) = l. Let h = -1 - 1. Let x be v(h). What is p(x)?
6
Let v(c) = c + 8. Let j be ((-3)/6)/(3/30). Let g be j/10 - (-22)/(-4). What is v(g)?
2
Let o = -73 + 66. Let z(s) = -s**2 - 4*s + 5. Calculate z(o).
-16
Suppose 124*b = 127*b - 24. Let d(h) = h**3 - 8*h**2 - h + 6. Give d(b).
-2
Let f(a) be the first derivative of 6*a + 1/3*a**3 + 2 + 1/2*a**2. Let j = -7 - -7. Give f(j).
6
Let q(p) be the first derivative of -p + 3/4*p**4 + 2/3*p**3 + 0*p**2 + 1. Let h be 3/6*-4 + 1. Determine q(h).
-2
Let l(x) = x**2 + 14*x + 18. Let w be l(-13). Let k be 4/(-6) - 195/(-9). Suppose -w*c + 0*c - 3*b - 6 = 0, 5*b - k = 2*c. Let p(n) = -n + 1. What is p(c)?
4
Let k(h) = -h**2 - 7*h + 4. Let o(m) = -m**3 + 2*m**2 - 1. Let a be o(1). Let l = -6 + a. Give k(l).
10
Let b(y) = 3*y + 2 + 0 + 4 - 6*y**2 + y**3. Let c = 185 + -180. Give b(c).
-4
Let z = -20 - -22. Let t(i) = -i**3 + 3*i**2 - i + 1. What is t(z)?
3
Let h(c) = c - 2. Suppose -u - 3*o - 12 = -3*u, 3*o = 0. Let j be h(u). Let i(q) = -q + 0*q**2 - 1 + q**2 + j*q. What is i(-5)?
9
Let n(f) = 2*f**3 - 2*f + 2*f**2 - 4*f**2 - 2*f**2 + 4*f. Suppose -5*a + 3*b = -1, a - 3*b = 2*b - 13. Determine n(a).
4
Let w(p) = p**3 - p**2 + p + 1. Let z(l) = 3*l**3 + 2*l**2 - l + 2. Let x(c) = 4*w(c) - z(c). What is x(4)?
-10
Let q(v) = v - 7. Let y(r) = -r**3 + 10*r**2 - 10*r + 9. Let d be y(9). Suppose d*j - 6 = -j. Determine q(j).
-1
Let u(a) be the second derivative of a**7/840 + a**6/360 - a**5/120 + a**4/24 - a**3 + a. Let c(z) be the second derivative of u(z). Determine c(1).
2
Let q(k) = -3*k**3 + k**2. Let t(r) be the first derivative of r**3/3 + r**2 + r - 2. Let v be t(-3). Suppose g + 27 = 2*u - v*g, -2*u + 2*g = -12. Give q(u).
-2
Let d = 193 - 196. Let u(g) = g**2 + 8*g + 4. Give u(d).
-11
Let b be ((-68)/51)/((-2)/(-6)). Let y(g) = -5*g + 3. Calculate y(b).
23
Let d(f) = -2*f**2 + 2*f - 2. Let r = -67 - -70. Determine d(r).
-14
Let t(h) be the second derivative of -h**3/2 - 2*h**2 - 3*h. Let u(b) = -b - 2. Let a(v) = 3*t(v) - 7*u(v). What is a(3)?
-4
Let l(p) = -p**2 + 3*p - 4. Let h be l(1). Let z(r) = -2*r**3 + r**2 + 8*r**3 + 2*r - 7*r**3 + 2. Give z(h).
10
Let y = -2 - -4. Let s be 11/(-1) + -2 + y. Let x = s + 8. Let t(a) = -a**3 - 3*a**2 - 3*a - 3. Determine t(x).
6
Suppose c - 6*c = 0. Let k be (1/(-1))/(2/(-6)). Let i(d) = c*d**3 + d**3 + 0*d**2 - k*d**2 - 1. What is i(3)?
-1
Let o(g) = -2*g**2 + 7*g - 5. Suppose 5*l - 11 = 4. Suppose 4 = l*b - 2. Let z be (-1 - b)/(-3) - -3. What is o(z)?
-9
Suppose 7 = 5*c + 2. Let u(m) = -c + 5 - m + 4 - 1. Give u(6).
1
Suppose 7 = 2*f + 1. Suppose -i = -f*i - 12. Let w(r) = r + 7. Determine w(i).
1
Let x(a) = a - 2. Suppose -n + 16 = -0*n + 5*i, -4*n - 2*i = -28. What is x(n)?
4
Suppose -4*x - 28 = -4*a, 4*x = -x - 25. Let r be (18/(-12))/(a/(-4)). Let d(f) = 3*f**3 - f**2 + 0*f**2 - 4*f**3 + 1 + 2*f + 4*f**2. Determine d(r).
7
Let u(i) be the first derivative of 1 - 6*i**2 + i - 2*i**2 + 3. Calculate u(1).
-15
Suppose -6 = 3*d - d. Let r(o) = 1 + 5*o**2 + 6*o - 4*o**2 - 2 - o. Calculate r(d).
-7
Let k = -9 - -15. Let b(s) = -2*s + 1 + k*s + 0*s. Let w be (-1 + 4)*(-2)/(-6). Calculate b(w).
5
Let v(x) = -17*x + 9. Let s(u) = -4*u + 2. Let h be ((-18)/(-12))/((-3)/(-8)). Let m(g) = h*v(g) - 18*s(g). Give m(-1).
-4
Let c(m) be the second derivative of -7*m**4/24 - m**3/6 - m**2/2 + 2*m. Let l(t) be the first derivative of c(t). Let v = 2 + -3. Give l(v).
6
Let h(k) be the first derivative of -k**3/3 + 7*k**2/2 + k + 2. Calculate h(8).
-7
Let f(n) = 4 + 5*n**2 + 0 - 6*n - n**3 + 0*n**3. Suppose 36 = 2*a + 28. What is f(a)?
-4
Suppose 0 = -o + 3*o - 3*n - 5, 0 = -5*o - 5*n - 50. Let s(v) = -2*v - 7. Determine s(o).
3
Let f be -3*(-3)/18*6. Let o(b) be the third derivative of 1/60*b**5 - 5/24*b**4 + 1/6*b**3 + 0*b - 2*b**2 + 0. Calculate o(f).
-5
Let h(g) = 24 + 0*g**3 - 26 - g**3. Suppose t + 4*t = 0. Give h(t).
-2
Suppose -3*c + 3*m = 24, -4*m + 20 = -5*c + 3*c. Let n(d) = d**3 + 7*d**2 + 6*d - 4. Give n(c).
-4
Let m(h) = 0*h + 3 - 9*h**2 - h**3 + 3 - 4*h + 2*h**3. Let j be (-3)/2*(-20)/6. Let x(k) = -k**3 + 8*k**2 + 3*k - 5. Let w(s) = j*m(s) + 6*x(s). Calculate w(2).
0
Let h(i) = i**3 - i**2 + i - 7. Suppose 26 = q - 4*q - 5*f, -5*q + 5*f + 10 = 0. Let z be q - (2 - (-2 + 6)). Calculate h(z).
-7
Let h(y) be the third derivative of -y**5/60 - y**4/6 - y**3/2 - 10*y**2. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
-10*i + n = -9*i. Let h = 148 - i. What is the units digit of h?
8
Suppose 67*o - 13772 = 56*o. What is the tens digit of o?
5
Let a(t) = t**3 + 6*t**2 - 2*t - 8. Let l be a(-6). Let f(z) = z - l*z + 6*z**2 + 8 - 10. What is the units digit of f(-2)?
8
Let j be -1*(-72)/(-28)*(-462)/9. Suppose -11*v + 5*v = -j. What is the units digit of v?
2
Suppose -4*x + 654 - 212 = 2*z, -z = -x + 103. What is the tens digit of x?
0
Suppose 4*w + w - 4 = -2*x, -8 = -5*w - 4*x. Suppose w = 2*t + q - 129, 0*t + q = -3*t + 192. What is the units digit of t?
3
Let t(b) = b**3 + 4*b**2 - b. Let o be t(-4). Suppose 11 = o*w - 5. Suppose -w*f + 227 - 19 = 0. What is the tens digit of f?
5
Suppose 2*z - 21 = -7. Let f(j) be the first derivative of j**3/3 - 5*j**2/2 + 5*j + 14. What is the units digit of f(z)?
9
Let f(x) = -14*x**2 - 45*x - 18. Let i(p) = 5*p**2 + 15*p + 6. Let b(o) = 4*f(o) + 11*i(o). Let u be b(-11). Let z = u + -17. What is the units digit of z?
1
Let w(i) be the first derivative of i**4/4 - 4*i**3/3 + 2*i**2 + i - 2. Let n be w(3). Suppose -5*p - 1 = -n*p, 0 = -4*u - p + 67. What is the tens digit of u?
1
Suppose 140*b + 11670 = 146*b. What is the tens digit of b?
4
Let h(y) = y**3 - 5*y**2 + y + 5. Let t be h(4). Let m = t - -10. Suppose -w - m*r + 34 = 0, -2*r - 33 = -3*w + 14. What is the tens digit of w?
1
Suppose 5*f - 7865 = -46*d + 51*d, -6252 = -4*f - 4*d. What is the hundreds digit of f?
5
Let s(t) = 6*t**3 - t**2. Let o be s(1). What is the units digit of 424/o + ((-1)/5)/(-1)?
5
Let u = -79 + 185. Let m = u + 34. What is the hundreds digit of m?
1
Let a(s) = -100*s - 3. Let c be a(-2). Suppose c = 4*u - 107. Suppose -x + u = 3*x. What is the tens digit of x?
1
Suppose -36*i + 26577 = -13347. What is the tens digit of i?
0
Let i be 6/4 - 7/(-14). Suppose -i*l - 3*l - 20 = 0. What is the units digit of (-6)/(-4 + 7)*l?
8
Suppose -9*l + 15*l - 2232 = 0. What is the hundreds digit of l?
3
Let f = 67 - 47. Let w = f - -31. What is the tens digit of (-11 - -11) + (w - 1)?
5
Suppose -5*a = 5*q - 4840, -19*q + 3860 = -15*q - 2*a. What is the hundreds digit of q?
9
What is the thousands digit of 1474 - ((-1088)/(-160) - 2/(-10))?
1
Let d(z) = 12*z**2 + 3*z - 2. Let a be d(1). Suppose 0 = 3*j - a - 5. What is the tens digit of (j/(-4))/((-10)/180)?
2
Let y(w) = 9*w**2 + 15*w - 6. What is the hundreds digit of y(6)?
4
Let y = 16 + -11. Suppose y*v - 14 = 86. What is the units digit of v?
0
Let n = 20 + -31. Let l be (-145)/(-11) + 2/n. Let o = l - 9. What is the units digit of o?
4
Suppose 4*r = 4*h + 20, 5*h = -r - 4 - 9. Suppose -4*s - r - 18 = 0. What is the units digit of -4 + s*(1 - 4)?
1
Let s(m) = 8*m**2 + m - 1. Let n be s(-3). Suppose -y = -n - 11. What is the tens digit of 3/15 - y/(-5)?
1
Let n(w) be the second derivative of -w**3/2 + w**2/2 - 9*w. What is the tens digit of n(-3)?
1
Let r(q) = 16*q**2 + 11 - 5 - q**3 - 19 - 21 + 19*q. What is the units digit of r(16)?
0
Suppose 4*v - 1904 = -3*v. What is the tens digit of v?
7
Let o = -810 - -1417. What is the tens digit of o?
0
Let u be -18*1*4/(-12). Suppose -u*y = -5*y - 70. What is the tens digit of y?
7
Let n(l) = 17*l - 2. Let j be n(1). Let z = j - 11. What is the units digit of z/10 + 96/10?
0
Let v(o) = -99*o - 56. What is the units digit of v(-30)?
4
Let g(y) = y**2 - 4*y + 109. What is the thousands digit of g(-42)?
2
Let v(n) = -35*n - 3. Let j = -16 + 21. Let f(p) = 71*p + 6. Let w(b) = j*v(b) + 3*f(b). What is the units digit of w(1)?
1
Let i = -53 + 58. Suppose 0 = -i*x + 10*x - 470. What is the units digit of x?
4
Suppose 1290 = 4*o - r, -3*o - 4*r = -5*r - 967. What is the tens digit of o?
2
Let a(t) be the first derivative of 3*t**3 + 3*t**2 - 18*t - 18. What is the hundreds digit of a(-6)?
2
Let o(p) = p**2 - 7. Let t be (-18)/12 - 18/(-4). What is the units digit of o(t)?
2
Suppose 0 = -5*f - 5, -2*f - 2 - 10 = -2*y. Let b be y*1*(-1)/(-1). Suppose 0 = -5*m + 3*l + 67, 3*l + 66 = b*m - l. What is the units digit of m?
4
What is the hundreds digit of 1*1003 + (-49 - -48)?
0
Suppose 0 = -8*t + 3*t - 20. What is the units digit of (-4)/t*1*53?
3
Let f(p) be the second derivative of p**3/3 - 5*p. Let y be f(7). Let o = 11 + y. What is the units digit of o?
5
Let p be 60/16 + (-2)/(-8). Suppose 3*h = 3*y - 12 + 63, -p*y = h - 32. Suppose 0 = 5*z - h, -4*z + 0*z = -4*w - 12. What is the units digit of w?
1
Let b(m) = -m**2 + 6*m - 5. Let x be b(4). Suppose z + 5*v + 7 + 12 = 0, -3*z + 2*v - 6 = 0. What is the tens digit of (-75)/z - x/(-12)?
1
Suppose 0 = -5*n + 4*d + 71, 3*n = -2*n + 2*d + 73. Let m = n + -11. Let i(l) = l**2 - 2*l + 4. What is the units digit of i(m)?
2
Suppose -1379 + 47 = -d. What is the thousands digit of d?
1
Let p = 0 - -5. Suppose 5 = p*b - 5. Suppose b*h = -3*d + 49, 3*d = -4*h + 4*d + 77. What is the tens digit of h?
2
Suppose 0*s + 6 = 3*s. Let i = 160 - 160. Suppose 4*j + 75 = 5*g, i = -g - 2*g - s*j + 67. What is the tens digit of g?
1
Let i = 26 - 21. Let z(v) = -10*v**3 + 10*v + 11*v**3 + 0 + i*v**2 + 2 + 3*v**2. What is the units digit of z(-5)?
7
Suppose 0 = -2*d + 3 + 5. Suppose 2*z + 3*c = -1, d*z - 5*c - 35 = -z. Suppose -11 - 37 = -4*s - z*i, 3*s + 2*i = 33. What is the units digit of s?
9
Suppose -13*w = -21*w + 2248. What is the units digit of w?
1
Let v = -305 - -348. What is the tens digit of v?
4
Let k = 37 + -43. Let a(d) = -2*d**3 - 9*d**2 + d + 14. What is the units digit of a(k)?
6
Suppose 479 = 5*t - 5*x - 9091, 6*t - 3*x = 11481. What is the thousands digit of t?
1
Let o(i) = 15*i**3 - 7*i**2 - 3*i - 11. Let c be o(7). What is the units digit of 2/(-7) - (c/(-35) - 5)?
1
Let i be (-118 - -137)*-1*2/2. Let d(q) = -q**3 + 6*q**2 + 6*q + 3. Let b be d(5). Let x = i + b. What is the units digit of x?
9
Let s(y) = -y**2 + 23*y - 51. Suppose 0 = -t - t + 20. What is the units digit of s(t)?
9
Suppose 462*c - 24934 = 455*c. What is the thousands digit of c?
3
Let t(f) = -f**2 - 5*f + 6. Let l be t(-5). What is the units digit of (-1 + 13)*26/l?
2
Let i = -9 + 11. Let v(g) = 27*g**3 - g**2 + g - 4. What is the units digit of v(i)?
0
Suppose -2 + 0 = t. What is the units digit of t/((-1)/(445/10))?
9
Suppose -5*c + 2*c + 15 = 0. Suppose c*r = -r + 198. What is the tens digit of r?
3
Let s(o) = -o**3 + 3*o + 470. What is the units digit of s(0)?
0
Let y(n) = 5*n - 2. Suppose -1 = 22*c - 23*c. What is the units digit of y(c)?
3
Let t(o) = o**3 + 4. Let i be t(0). What is the units digit of 27 + (-4)/(6 - i)?
5
Let m(s) = 5 + 6 - 8*s + 2*s. What is the units digit of m(-5)?
1
Suppose 4 = -2*d - 6, 5*s - 2*d = 30. Let w(b) = -s*b**3 - 7*b**2 + 4*b**3 + 7*b - b**3 - b. What is the units digit of w(-8)?
6
Let x(h) = 2*h**2 + 2*h - 3. Suppose n - 4 = 4. Suppose 2*l - n = 4*l. What is the tens digit of x(l)?
2
Suppose -18 = 7*i - 13*i. Suppose -w = -3*b - i*w + 451, -463 = -3*b + w. What is the tens digit of b?
5
Suppose -l - 2*c = -22 - 1, -2 = -2*c. Let s = -33 + l. Let f(a) = -a - 6. What is the units digit of f(s)?
6
Suppose -5*x - 2384 = -w, -x = 3*w - 3632 - 3472. What is the thousands digit of w?
2
Let j be ((-3)/(-6))/((-4)/(-1760)). Let u = j + -115. What is the tens digit of u?
0
Let v(k) = 18*k - 3. Let h be v(-6). Let u = h - -155. What is the units digit of u?
4
Suppose 0 = 2*w + 41 - 49. Suppose -3*i - 2*c - 168 + 559 = 0, w*i - 544 = 3*c. What is the units digit of i?
3
Let r(z) = -16*z + 71. What is the units digit of r(-19)?
5
Suppose -7*m + 25 = -10. Suppose -m*j + r = -1640, 6*r = -2*j + 2*r + 634. What is the tens digit of j?
2
Let t(b) = -2*b**2 - 6*b. Let i be t(-4). What is the units digit of (52/6)/(i/(-12))?
3
Let u = -172 - -408. Let x = u - 49. Suppose -x = -5*d + 133. What is the tens digit of d?
6
Suppose -3*h - 7*h + 12120 = 0. What is the units digit of h?
2
Let d be (-2)/(-4 + 102/26). Let u = d + -11. What is the units digit of u?
5
Let j(m) = -7*m - 19. Let t be (-4 - (-9)/(-3)) + -2. What is the tens digit of j(t)?
4
Let p = 5 + -1. Suppose -3*x + p = -8. Suppose -2*t = -x*t + 16. What is the units digit of t?
8
Suppose v + 411 = -2*p + 1627, -3*v = 3*p - 1821. What is the hundreds digit of p?
6
Suppose 3*h - 9 = 0, 0*h + 2*h = 2*r - 88. Suppose 397 - r = 2*l. What is the hundreds digit of l?
1
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
) + 18*s(g). Determine u(j(k)).
-16*k
Let f(y) = -y. Let x(i) = -1049*i + 8. Let z(n) = -2098*n + 18. Let o(p) = 9*x(p) - 4*z(p). Calculate o(f(l)).
1049*l
Let z(w) = -13*w. Let j(f) = 2*f - 5 + 21 - 16 + 3*f. Calculate z(j(p)).
-65*p
Let n(b) = 2*b. Let t(p) = p**2 + 19*p. Let h(m) = -3*m**2 - 37*m. Let g(o) = 2*h(o) + 5*t(o). Determine g(n(d)).
-4*d**2 + 42*d
Let v(n) = 359*n**2 - 102*n**2 - 91*n**2 - 95*n**2 - 104*n**2. Let d(z) = -8*z**2. Give v(d(l)).
-2112*l**4
Let m(u) = 166*u + 10. Let j(b) = -33*b**2. Give j(m(i)).
-909348*i**2 - 109560*i - 3300
Let g(b) be the first derivative of -b**3 - 75. Suppose 3*m - 4*m = 0. Let l(z) = -1 + m*z - 2*z + 1. Give l(g(i)).
6*i**2
Let d(u) = -366*u**2. Let c(w) = -155*w. Determine c(d(y)).
56730*y**2
Let w(m) = -24*m**2. Let i(o) = -2165*o**2 + 1101*o**2 + 1085*o**2. Give i(w(g)).
12096*g**4
Let d(y) = 2*y + 558. Let c(a) = -a**2 - 57*a. Determine d(c(q)).
-2*q**2 - 114*q + 558
Let j(d) = 26*d + 70. Let g(t) = -144*t. What is j(g(p))?
-3744*p + 70
Let b(t) = -2*t**2. Let v(h) = -6*h**2 + 1942*h - 2. Give v(b(o)).
-24*o**4 - 3884*o**2 - 2
Let l(f) = 1041*f. Let u(v) = 84*v - 47*v - 38*v. Determine u(l(c)).
-1041*c
Let z(o) = 4*o**2 - 5. Let y(l) = -27*l**2 + 36. Let p(d) = -5*y(d) - 36*z(d). Let s(u) = -11*u**2. What is p(s(r))?
-1089*r**4
Let d(c) = 3*c + 6*c + c - 2*c**2 - 10*c. Let j(h) = 20*h. Give d(j(s)).
-800*s**2
Let h be (6 + (-1 - -2))*1. Let u(q) = 3 - q + h - 10. Let y(r) = 34*r. Determine u(y(f)).
-34*f
Let i(f) = 5*f. Let g(c) = -6*c. Let w(b) = 6*g(b) + 7*i(b). Let m(y) = y**2 - 2*y - 1. Let s be m(3). Let u(x) = 0*x**2 - s*x**2 - 8*x**2. What is w(u(h))?
10*h**2
Let a(p) = -p**2. Let s(y) = -2004*y**2 - 4*y + 2. Let v(j) = -384769*j**2 - 770*j + 385. Let z(l) = -385*s(l) + 2*v(l). Give a(z(o)).
-4008004*o**4
Let z(k) = 6*k. Let n(o) = 13492*o. Give n(z(l)).
80952*l
Let f(i) = 82*i - 338*i + 86*i + 86*i + 82*i. Let p(x) = 31*x. Calculate f(p(q)).
-62*q
Let s(y) = 6*y. Suppose 0 = 5*t - 15, 5*h + t - 7 = h. Let u(x) = -x. Let j(r) = h*s(r) + 8*u(r). Let m(w) = -5*w. Calculate m(j(n)).
10*n
Let s(f) be the second derivative of f**4/4 - f. Let h(v) = 4080*v**2 + 4063*v**2 - 8192*v**2. What is s(h(u))?
7203*u**4
Let s(j) be the third derivative of -619*j**4/24 - 257*j**2. Let d(b) = b. Calculate d(s(c)).
-619*c
Let h = -63 - -57. Let j(a) = -a**2 - 6. Let t(l) = 1. Let c(f) = h*t(f) - j(f). Let i(z) = -11*z**2. Determine c(i(n)).
121*n**4
Let f(t) = -t**2 - 4*t - 1. Let d be f(-3). Let w(a) = -4*a - d*a - 2*a + 6*a. Let m(q) = -15*q**2. Determine m(w(l)).
-60*l**2
Let d(h) be the first derivative of -14*h**2 + 196. Let w(m) be the third derivative of -m**4/12 - 2*m**2. Determine w(d(v)).
56*v
Let m(f) = 34*f - 71*f + 40*f. Let r(z) = -3*z + 4*z - 3*z + 5*z. Calculate r(m(d)).
9*d
Let v(m) = -2 + 4 - 5*m**2 - 2. Suppose -75 = 3*q - 8*q. Let k(r) = -4*r + q*r - 9*r. What is v(k(d))?
-20*d**2
Let b(t) = -5*t**2 - 2*t - 543. Let f(k) = -21*k. What is f(b(u))?
105*u**2 + 42*u + 11403
Let c(r) be the second derivative of -3*r**4/2 - 1898*r - 2. Let d(x) be the third derivative of x**5/60 + x**2. Give d(c(j)).
324*j**4
Let o(d) = -555*d**2. Let v(i) = 19*i**2. Determine o(v(s)).
-200355*s**4
Let p(m) be the first derivative of -10*m**3 - 428. Let u(n) = 5*n. Calculate u(p(b)).
-150*b**2
Let n(z) = -z**2 - 4*z - 4. Let y(h) = -h**2 - 5*h - 5. Let u(g) = 5*n(g) - 4*y(g). Let i = 20 - 14. Let r(s) = -17*s + 9*s + i*s. Determine r(u(m)).
2*m**2
Let j(g) = -2245*g. Let u(i) = -181*i**2 - 2*i. What is j(u(f))?
406345*f**2 + 4490*f
Let d(z) = 5*z - 8*z - 2*z. Suppose -2*c = 2*c. Let f(q) = -7*q + c*q + 8*q. What is f(d(l))?
-5*l
Let l(i) = 3*i + 12445. Let g(n) = n. What is l(g(r))?
3*r + 12445
Let i(m) = 3 + 912*m - 456*m - 3 - 455*m. Let o(b) = b. Let s(t) = -2 + 2 + 2*t. Let j(g) = 13*o(g) - 6*s(g). Calculate i(j(w)).
w
Let v(h) = 9*h - 18*h - 10*h + 21*h. Let g(x) = 601*x. What is g(v(o))?
1202*o
Let t(x) = -272*x**2 - 659*x. Let y(n) = -3*n. What is y(t(m))?
816*m**2 + 1977*m
Let j(b) = -714*b. Let i(v) = 31*v. Let h(p) = 3*p**3 - 3*p**2 + 7*p - 5. Let g be h(3). Let q(c) = g*i(c) + 3*j(c). Let a(u) = u. Determine q(a(t)).
28*t
Let l(n) = -20*n. Let i(h) = 8418*h. What is i(l(v))?
-168360*v
Let o(z) be the third derivative of -z**4/24 - 79*z**2. Let x(r) = 104*r**2. Calculate x(o(m)).
104*m**2
Let o(h) = -7*h. Let u(m) = 7*m. Let n be 50/8 - 5/20. Let p(y) = 0*y - 5*y - 2*y + 8*y. Let q(a) = n*p(a) - u(a). Determine o(q(x)).
7*x
Let f(q) = 121576*q**2. Let l(z) = -3*z**2. What is f(l(n))?
1094184*n**4
Let x(k) = 8 + 82*k**2 - 19 + 4 + 7. Let f(j) = 6*j. Calculate f(x(r)).
492*r**2
Let w(f) = -14*f**2 - 2. Let t(b) = 14*b**2 + 3. Let h(i) = -2*t(i) - 3*w(i). Let a(x) be the first derivative of x**3/3 - 129. Give h(a(q)).
14*q**4
Let y(q) = 128261806 - 128261806 - q. Let r(x) = -10*x. Let b(k) = -5*k. Let c(g) = -5*b(g) + 3*r(g). Calculate y(c(i)).
5*i
Let c(a) = 36*a**2. Let u(y) = y**2 + y + 1. Let k(p) = -4*p**2 + p + 1. Let g(x) = k(x) - u(x). Calculate c(g(h)).
900*h**4
Let g(p) = 10*p**2. Let k(z) be the second derivative of -z**6/720 + 19*z**4/12 - 11*z. Let m(b) be the third derivative of k(b). Determine g(m(s)).
10*s**2
Let a(k) = -3*k**2. Let i(g) be the second derivative of -g**4/6 + 4*g**2 - 4*g. Let w(d) be the first derivative of i(d). What is w(a(n))?
12*n**2
Let m(z) = 15*z**2. Let i(y) be the second derivative of 0 + 0*y**2 + 5/6*y**3 - 54*y. Determine i(m(k)).
75*k**2
Let w(b) = 6*b - 26. Let s(o) = -103*o. What is s(w(f))?
-618*f + 2678
Let p(d) be the second derivative of d**4/3 + 23*d. Let q(o) = 5*o**2 + 7*o - 7. Let b(t) = 2*t**2 + 3*t - 3. Let u(v) = -7*b(v) + 3*q(v). Give p(u(n)).
4*n**4
Let r(u) = -15*u**2 + 31*u**2 + 10*u**2. Let a(d) = 3*d**2. Determine a(r(n)).
2028*n**4
Let m(z) = -26*z**2. Let n(k) = 4*k + 2. Let o(v) = -26*v - 12. Let j(w) = -12*n(w) - 2*o(w). What is j(m(t))?
-104*t**2
Let l(a) = a. Let k(s) be the first derivative of 57*s**2 + 191. Calculate k(l(x)).
114*x
Let n(q) = -3*q. Let u(f) be the third derivative of f**5/15 + 16*f**2 - 3. Give u(n(z)).
36*z**2
Let z(n) = -n. Let v be (-65)/(-130) + 2/(-4). Let i(h) be the second derivative of v + 1/6*h**3 + 0*h**2 - h. What is i(z(d))?
-d
Suppose -v + 5*y + 22 = y, -4*v + y = -28. Let n(g) = -23*g. Let k(s) = 4*s. Let c(d) = v*n(d) + 34*k(d). Let z(p) = 3*p. Calculate z(c(b)).
-6*b
Let r(f) = -998*f**2. Let x(b) = -2*b + 70. Determine x(r(o)).
1996*o**2 + 70
Let n(q) be the third derivative of q**7/1260 + q**5/6 - 4*q**2. Let v(x) be the third derivative of n(x). Let f(u) = -2*u + 3*u + 0*u. Calculate v(f(d)).
4*d
Let s(w) = -w + 47385. Let q(a) = -2*a. Determine s(q(n)).
2*n + 47385
Let k(n) = -37*n**2. Let q(z) = -95*z. Let w(s) = -4*s. Let i(a) = -2*q(a) + 50*w(a). Calculate i(k(g)).
370*g**2
Let h(q) = -q - q**2 + q. Let n(p) = -66*p - 82*p + 153*p. Calculate n(h(b)).
-5*b**2
Let z(r) = -3*r + 77764. Let l(u) = -2*u**2. Give z(l(f)).
6*f**2 + 77764
Let n(q) = -110*q - 1. Let i(r) = r**2 + 4*r + 4. Let m(s) = -2*s**2 - 10*s - 10. Let x(h) = -15*i(h) - 6*m(h). What is n(x(o))?
330*o**2 - 1
Let h(m) = 2*m. Let z(r) be the first derivative of -17 + 0*r + 5/2*r**2. Determine h(z(l)).
10*l
Let n be (4/(-12))/((-1)/9). Let y(k) = -n*k**2 + 1153 - 1153. Let i(x) = -4*x**2. Give y(i(j)).
-48*j**4
Suppose 4*r = 2*u, u = -r - 1 + 4. Let s(t) = -4*t**2 + t**u + 3*t**2 + t**2. Let g(m) = -15*m**2. Give s(g(x)).
225*x**4
Let g(u) = 3*u**2. Let t be (6 - 9)/((-1)/(-2) + -2). Let j(o) = -7*o**2 + 3*o**2 + t*o**2 + 0*o**2. Calculate g(j(w)).
12*w**4
Let x(y) = -y. Let u(h) be the first derivative of 0*h + 11/2*h**2 + 3. Calculate x(u(q)).
-11*q
Suppose 0*k = k - 3*o - 14, 5*o = -2*k - 16. Let p(t) = -2*t**k - 196*t + 196*t. Let w(v) = 10*v**2. Calculate w(p(h)).
40*h**4
Let j(s) = -41*s - 31*s - 42*s + 101*s. Let v(b) = 3*b. Determine j(v(h)).
-39*h
Let u(y) = -2*y - 1 + 1. Suppose 0 = -11*d - 2*d + 780. Let o(l) = -47*l**2 + 90*l**2 - d*l**2. Calculate u(o(c)).
34*c**2
Let v(b) = 656*b - 4. Let l(z) = -2*z**2. Calculate v(l(g)).
-1312*g**2 - 4
Let f(c) = 189*c**2 + 27. Let j(l) = -27*l**2 - 4. Let k(u) = -4*f(u) - 27*j(u). Let b(q) = 2*q. Calculate k(b(m)).
-108*m**2
Let j(p) = p**2. Let i = -3 - -5. Let y(q) = 20*
|
{
"pile_set_name": "DM Mathematics"
}
|
8 and 5883?
159
Calculate the greatest common divisor of 4090 and 164418.
818
What is the greatest common factor of 1785096 and 108?
36
What is the greatest common divisor of 97949 and 41?
41
Calculate the highest common factor of 441385 and 35.
35
What is the highest common divisor of 135114 and 126?
42
What is the greatest common factor of 3470 and 850?
10
Calculate the greatest common divisor of 5725 and 925.
25
Calculate the greatest common factor of 97893 and 53874.
657
Calculate the highest common factor of 136 and 34472.
8
Calculate the highest common factor of 230 and 1052342.
46
What is the highest common factor of 1220459 and 149?
149
Calculate the greatest common divisor of 7526 and 1562.
142
What is the highest common divisor of 9741 and 153?
51
Calculate the highest common divisor of 8618 and 4726.
278
Calculate the greatest common factor of 999 and 26196.
111
What is the greatest common divisor of 754 and 66469?
13
What is the highest common factor of 322 and 2346?
46
What is the greatest common factor of 2412 and 5490918?
1206
Calculate the greatest common factor of 40546 and 19.
19
Calculate the greatest common divisor of 12029 and 207.
23
Calculate the greatest common divisor of 45 and 4572.
9
Calculate the greatest common divisor of 1129774 and 226.
226
Calculate the highest common divisor of 544 and 11866.
34
Calculate the highest common divisor of 86853 and 114699.
663
Calculate the greatest common factor of 1751 and 4223.
103
Calculate the highest common factor of 5010 and 258.
6
What is the highest common factor of 1779294 and 198?
66
What is the highest common divisor of 44 and 22396?
44
Calculate the highest common factor of 185738 and 266.
14
Calculate the greatest common factor of 1233 and 14385.
411
What is the highest common factor of 267828 and 44?
44
What is the greatest common divisor of 72 and 90?
18
What is the greatest common divisor of 616637 and 3215?
643
Calculate the greatest common divisor of 2034 and 14577.
339
Calculate the highest common factor of 598 and 3201991.
299
What is the greatest common divisor of 3822 and 2814?
42
What is the highest common divisor of 92 and 290536?
92
Calculate the highest common factor of 316 and 7742.
158
What is the highest common factor of 550 and 2900?
50
Calculate the greatest common factor of 118449 and 13407.
123
What is the highest common divisor of 335 and 5830?
5
What is the greatest common divisor of 15147 and 396?
99
Calculate the highest common divisor of 1914 and 69861.
957
What is the highest common divisor of 57051 and 54?
27
What is the greatest common divisor of 28347 and 297?
33
Calculate the highest common factor of 201000 and 2760.
120
What is the highest common factor of 6743 and 913?
11
Calculate the greatest common factor of 1310 and 10.
10
Calculate the greatest common divisor of 1764 and 1860.
12
What is the greatest common factor of 173058 and 18?
6
Calculate the greatest common divisor of 396 and 496716.
132
Calculate the greatest common divisor of 104796 and 1491.
213
Calculate the greatest common factor of 11026 and 1924.
74
What is the highest common factor of 314785 and 5495?
785
Calculate the greatest common divisor of 108 and 138132.
108
What is the greatest common divisor of 49112 and 224?
56
What is the greatest common divisor of 3 and 2834706?
3
Calculate the greatest common divisor of 95292 and 27.
9
What is the highest common factor of 1444 and 764?
4
Calculate the highest common factor of 2833791 and 2734.
1367
What is the greatest common factor of 40942 and 1034?
22
What is the highest common divisor of 42823 and 1496?
187
What is the highest common divisor of 553845 and 15?
15
What is the greatest common divisor of 553833 and 21?
21
Calculate the greatest common factor of 7889 and 437.
23
What is the greatest common factor of 16 and 8881?
1
What is the greatest common divisor of 11346 and 162192?
186
What is the greatest common divisor of 8262 and 26154?
18
Calculate the highest common divisor of 760 and 3880.
40
What is the highest common factor of 102 and 215634?
6
What is the highest common divisor of 3 and 8856123?
3
What is the greatest common divisor of 799 and 44838?
47
What is the greatest common divisor of 37708 and 88?
44
Calculate the highest common divisor of 28 and 1923684.
28
What is the highest common divisor of 116 and 292?
4
What is the greatest common factor of 95700 and 1980?
660
What is the highest common divisor of 14110 and 59760?
830
Calculate the greatest common factor of 3888 and 1312.
16
Calculate the highest common divisor of 8 and 7124.
4
Calculate the greatest common factor of 13 and 511771.
13
What is the highest common divisor of 2625 and 4125?
375
What is the highest common factor of 256034 and 5726?
818
What is the greatest common factor of 133625 and 375?
125
What is the highest common divisor of 8 and 19288?
8
What is the greatest common divisor of 28116 and 1254?
66
Calculate the greatest common divisor of 133764 and 9420.
1884
Calculate the highest common factor of 121345 and 70.
35
Calculate the highest common factor of 3706143 and 651.
651
What is the highest common factor of 151 and 698224?
151
Calculate the highest common divisor of 1153450 and 345.
115
Calculate the greatest common factor of 147 and 68621.
7
Calculate the greatest common divisor of 221 and 18649.
17
What is the highest common divisor of 13804 and 7259?
119
What is the greatest common factor of 4437 and 81171?
261
What is the greatest common factor of 31827 and 6077?
103
What is the greatest common factor of 2336 and 55808?
32
What is the highest common divisor of 148 and 45547?
37
Calculate the greatest common divisor of 228 and 349372.
76
Calculate the highest common factor of 53030 and 160.
10
Calculate the highest common factor of 12 and 8508.
12
Calculate the greatest common divisor of 15867 and 559.
43
Calculate the highest common divisor of 18 and 5633739.
9
Calculate the highest common divisor of 19943 and 98.
49
Calculate the highest common divisor of 2916 and 180.
36
What is the highest common factor of 508 and 1215771?
127
What is the highest common divisor of 40 and 171032?
8
Calculate the highest common factor of 105 and 199170.
15
What is the greatest common divisor of 26978 and 11767?
287
What is the greatest common divisor of 106930 and 15606?
578
What is the highest common factor of 5798980 and 43?
43
Calculate the highest common factor of 6026 and 46.
46
Calculate the greatest common divisor of 21257 and 183983.
733
What is the greatest common factor of 34 and 1188827?
17
What is the greatest common divisor of 21 and 92666?
7
Calculate the highest common divisor of 54991 and 254.
127
Calculate the greatest common divisor of 150582 and 66.
6
What is the highest common divisor of 696019 and 1?
1
Calculate the greatest common factor of 83673 and 243.
81
Calculate the highest common factor of 224 and 98308.
28
Calculate the greatest common factor of 150348 and 510.
102
Calculate the greatest common divisor of 527 and 2001019.
527
What is the highest common factor of 1024 and 14752?
32
What is the highest common factor of 841100 and 800?
100
Calculate the greatest common divisor of 27 and 612954.
27
Calculate the highest common factor of 1434 and 2274.
6
What is the highest common factor of 76424 and 164?
164
What is the greatest common divisor of 6952 and 1573?
11
Calculate the greatest common factor of 28 and 209396.
4
Calculate the highest common factor of 726 and 48576.
66
What is the greatest common factor of 536 and 8192?
8
Calculate the highest common factor of 47718 and 30848.
482
Calculate the greatest common divisor of 12 and 213156.
12
Calculate the greatest common divisor of 45 and 11349.
9
Calculate the highest common factor of 3924 and 114612.
12
Calculate the highest common divisor of 592 and 123173.
37
What is the highest common divisor of 11760 and 199290?
210
Calculate the highest common divisor of 621 and 1087533.
27
Calculate the highest common divisor of 39392 and 112.
16
What is the highest common factor of 5301 and 29773?
19
Calculate the greatest common factor of 149041 and 103.
103
Calculate the greatest common factor of 1612 and 311428.
52
Calculate the highest common factor of 85 a
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose 3*n + 6 = -5*c - 0, 0 = 5*n - 4*c - 27. Suppose 2*i + 2 = 4*b + 4*i, -n*b + 4*i = -29. What are the prime factors of b?
3
Let t = -7 - -12. Suppose 3*h - t - 4 = 0, -f = -2*h - 18. Suppose 0 = -m - m + f. What are the prime factors of m?
2, 3
List the prime factors of (-3 + (4 - 2))/(2/(-512)).
2
Let s be -4*(-1 + 3/12). Let z be 56/s + 2/(-3). Suppose z = 4*i - i. List the prime factors of i.
2, 3
Let h(v) = v**2 + 13*v - 2. Let k be h(-14). Suppose k = 2*j - j. What are the prime factors of j?
2, 3
Suppose 5*a - 70 = 70. Suppose w - 2*b = a, -w - 4*b - 32 = -2*w. Suppose -u + w = 2*u. What are the prime factors of u?
2
What are the prime factors of (3 - 4)*1 + 47?
2, 23
Let g(t) be the second derivative of -t**3/6 + t**2 - 2*t. List the prime factors of g(-7).
3
Let d be ((-1)/2)/((-6)/(-60)). Let l = d - 1. What are the prime factors of 2*(3/l + 3)?
5
Let x(v) = -v**2 + 7*v - 6. Let w be x(7). List the prime factors of w*6/(-20)*5.
3
Let k(d) = -d**3 - 8*d**2 + 6*d + 7. What are the prime factors of k(-9)?
2, 17
Suppose 12 = 4*n - 2*m, 0 = -n + m + 3 + 1. Let b(x) = -4*x**2 + 3*x**2 + 0*x**n + 7 - 2. What are the prime factors of b(0)?
5
Let b be 7*(-4)/(-4)*4. Suppose -232 - b = -5*u. What are the prime factors of u?
2, 13
Suppose 0 = 2*r - 83 + 15. Suppose r = 5*f - 11. List the prime factors of f.
3
Let c = 100 + 112. What are the prime factors of c?
2, 53
Let i be (30/(-1))/1 - 1. Let k = i + 19. Let c = k + 21. List the prime factors of c.
3
Suppose t + 18 = 7*t. What are the prime factors of t?
3
Suppose 0 = d + 3*d - 192. Suppose -p - d = -5*p. List the prime factors of p.
2, 3
Suppose 3 + 19 = -2*s. Let d be (-2)/(-6) - s/3. Suppose -3*n + 6*r = r - 41, -3*n + 32 = d*r. List the prime factors of n.
2, 3
Let a = 345 + -213. What are the prime factors of a?
2, 3, 11
Let j = -101 - -156. What are the prime factors of j?
5, 11
Let a(b) be the second derivative of b**4/12 - 2*b**3/3 + 3*b**2 - 23*b. Let v = -1 + 5. What are the prime factors of a(v)?
2, 3
Suppose 8 = -2*p, 4*x = -p + 3*p + 72. Suppose -2*s - x = 2*s. List the prime factors of (-147)/(-12) + 1/s.
2, 3
Let r = 12 + -8. Let m(z) = -z**3 + 3*z**2 + 2*z + 5. Let p be m(r). Let j(v) = -3*v + 3. List the prime factors of j(p).
2, 3
Suppose -2*r + 3*d = 0, 2*r + 7*d = 2*d + 16. List the prime factors of r.
3
Let x(n) = n**2 + 1. Let a be -3*3/((-27)/6). Suppose -7*q = -a*q - 10. List the prime factors of x(q).
5
Let i be -6*-3*(-5)/(-18). Suppose -i*b + 0*f = -2*f - 33, 2*b + 2*f - 16 = 0. List the prime factors of b.
7
Let q = 9 - 6. Suppose -4*h = -0*w + 2*w - 150, -q*h - 5*w + 123 = 0. Suppose -4*u + h = -u. List the prime factors of u.
2, 3
Suppose d = 2*d - 4. Let o = 8 - d. Suppose 3 + 12 = 4*f + 5*v, -5*f = o*v - 30. What are the prime factors of f?
2, 5
Let d(k) = -5*k**3 + 6*k**2 + 7*k + 10. Let c(w) = w**3. Let p(y) = 4*c(y) + d(y). What are the prime factors of p(7)?
2, 5
Let x = 0 - 1. Suppose -5*h = -83 + 28. Let m = h - x. List the prime factors of m.
2, 3
Let y(f) = f**2 + 3*f - 7. Let z = -5 + -1. List the prime factors of y(z).
11
Suppose -3*c + 2*c = -5*t + 33, 2*t = c + 15. Suppose 12 = -4*z + t*z. Suppose -3*n + 36 - z = 0. What are the prime factors of n?
2, 5
Suppose 5*x - 46 = -291. List the prime factors of (-672)/x - (-2)/7.
2, 7
Let z be (-3 + 5 - -28)*-9. What are the prime factors of (-4)/(-14) + z/(-35)?
2
Let q be (-9 + -387)*2/(-4). What are the prime factors of q/30 - (-2)/5?
7
Let a = -28 - -69. List the prime factors of a.
41
Let k = 6 - 6. Suppose k = j + 5*s - 29, 0*s = 2*j - 5*s - 88. What are the prime factors of j?
3, 13
Suppose -2 = -2*r - 0, -4*p - 5*r + 33 = 0. Let m be ((-14)/p)/(1/(-3)). Suppose 3*b = -5*w + 26, 8 = 3*w + b - m. What are the prime factors of w?
2
Suppose -2*z + 12 = -4*v - 0*v, 0 = 4*v + 5*z + 26. Let i(g) = g + 8. What are the prime factors of i(v)?
2
Let v(m) = m**3 - 6*m**2 - 6*m + 9. What are the prime factors of v(7)?
2
Let c(w) = 5*w**2 - 4*w - 4*w**2 + 0*w**2 - 6 + w. Let a be ((-10)/(-6))/(2/6). List the prime factors of c(a).
2
Suppose 0 = g + 2*g - 48. Suppose 4*v + 3*t = -15, 2*v - 5*t + 36 = 9. Let s = v + g. List the prime factors of s.
2, 5
Let h = -4 + 5. Let k be (1 - 0/1) + h. Suppose y = k - 0. What are the prime factors of y?
2
Let m be (-20)/(-6) + 6/9. Suppose 3*i - m*o = 5*i - 10, 4*o = 5*i - 11. Suppose -q - 2 = l, i*l + 5 + 13 = q. What are the prime factors of q?
3
Let w be (-21)/(-4) - 8/32. Let x(z) be the first derivative of z**4/4 - 5*z**3/3 + 3*z - 1. List the prime factors of x(w).
3
Suppose 2*m - 10 = -5*q, 2*m - 10 = 2*q - 0*q. What are the prime factors of q - (-4 - -2) - -1?
3
Suppose -2*k - 3*r - 12 = -4, -18 = -3*k + 3*r. Suppose -5*j = k*i - 4*j - 79, 0 = -2*i - 3*j + 77. List the prime factors of (-2)/6 + i/3.
13
Suppose 3*m - 2*b - 110 = 0, 2*b - 5*b - 185 = -5*m. What are the prime factors of m?
2, 5
Let p = 0 + 8. What are the prime factors of p?
2
Suppose -5*f = -2*f - 63. Suppose -f*a = -25*a + 96. What are the prime factors of a?
2, 3
Let v = 62 - -34. List the prime factors of v.
2, 3
Let s(v) = 3*v - 6*v**2 + 8*v**3 + v - 7*v**3. Let j be s(5). Let l(y) = y**3 + 5*y**2 - y + 4. List the prime factors of l(j).
3
Suppose 6*o = 3*o. Let c(d) = d**2 + 7*d + 8. Let f be c(-6). Suppose -j + f + 5 = o. List the prime factors of j.
7
Let c(d) = -d**3 + 5*d**2 + 3*d + 5. Let n(y) = -y**3 + 4*y**2 + 4*y + 5. Let a(q) = 3*c(q) - 2*n(q). What are the prime factors of a(7)?
2, 3
Let u be 2/(-8) - 21/(-4). What are the prime factors of (u/(-5))/(2/(-10))?
5
Let z(d) = 7*d**2 + d - 1. Let t(h) = -8*h**2 - 2*h + 1. Let o(s) = 5*t(s) + 6*z(s). Suppose 0 = 2*x - 2 - 4. List the prime factors of o(x).
5
Let l = -21 + 31. What are the prime factors of l?
2, 5
Suppose -3*q - 6 = 39. Let f(s) = -3*s - 4. What are the prime factors of f(q)?
41
Let r = -10 - -19. What are the prime factors of r?
3
Suppose 20 = 5*h, 3*h + 20 + 376 = 3*t. What are the prime factors of t/(-12)*(-6)/4?
17
Let o(w) = 2*w**2. What are the prime factors of o(-2)?
2
Let p(g) = g**3 - 4*g**2 - 6*g + 3. Suppose 2*y = -0*y + 10. Let k be p(y). Let o(d) = -2*d**3 - d**2 + d + 1. What are the prime factors of o(k)?
11
Let a = -36 - -50. What are the prime factors of a/3*108/24?
3, 7
Suppose -11*c + 16*c = -45. What are the prime factors of (-80)/(-15)*c/(-6)?
2
Let i(y) = y**3 - 3*y**2 + 4*y + 3. List the prime factors of i(4).
5, 7
Let o(i) = -i**2 - 5*i - 4. Let c be o(-3). Suppose 2*s = -0*s + 144. Suppose 0 = 5*k + c*b - s, 4*k + 4*b = 28 + 20. What are the prime factors of k?
2
Suppose -2*f + 8 = -88. What are the prime factors of f?
2, 3
Suppose 8*x = 2*i + 3*x - 10, -4*x - 10 = -2*i. Let y(h) = h**3 - 6*h**2 + 6*h + 6. What are the prime factors of y(i)?
11
Suppose -2*l + 1 = 5. List the prime factors of (-1 - (40 - -1))/l.
3, 7
Suppose -94 - 365 = -3*a. List the prime factors of a.
3, 17
Let h(q) = q**2 + 2*q + 2*q**3 + 12*q**3 - 4 + 5. Let v be h(-1). Let r = v - -21. List the prime factors of r.
7
Let u(l) = 16*l**2 - 3*l + 1. Let c be u(2). Suppose -4*p - 103 = 65. Let q = p + c. List the prime factors of q.
17
Suppose 4*o = 2*m + 14, -23 = -0*m - 3*m - 5*o. Let y = m - 3. What are the prime factors of (4/(-8))/(y/28)?
7
Let c be 134/10 + (-8)/20. Let y = -1 + c. List the prime factors of y.
2, 3
Let n = -49 + -4. Let d = -3 - n. What are the prime factors of d?
2, 5
What are the prime factors of (2 - 2) + 37 + -4?
3, 11
Let m(k) = -8*k**2 - 35*k + 26. Let f(q) = 3*q**2 + 12*q - 9. Let v(b) = -11*f(b) - 4*m(b). What are the prime factors of v(6)?
7
Let s(f) = f**3 - f**2 - f + 4. Let i be s(0). Suppose 45 = 5*o - y, -o + 16 = i*y - 14. Suppose 2 = -4*n + o. List the prime factors of n.
2
Suppose 0 = -2*w + 5*h + 6, w - h = h + 3. Let t = w + 0. What are the prime factors of t?
3
Suppose 3*g = 9*g - 126. Suppose 3*s = j + 5, 5*s - 4 = -2*j + 4*s. Suppose 0 = 2*m - g + j. What are the prime factors of m?
2, 5
Suppose -2*m - 10 = -4*m, -4*m = t - 69. List the prime factors of t.
7
Let l = -3 + -4. Let y = 25 + l. Suppose -n + 3*n = y. What are the prime factors of n?
3
Let i(u) = 4*u - 14. List the prime factors of i(11).
2, 3, 5
Suppose 5*r = 5*m + 25 - 5, -r = -5*m - 8. Suppose r*b = -2*b + 155. List the
|
{
"pile_set_name": "DM Mathematics"
}
|
1/5?
5/2
Which is the smallest value? (a) -3712/3 (b) -2 (c) 0.1
a
Which is the third smallest value? (a) -11 (b) 4/3 (c) -3 (d) 3
b
What is the second biggest value in -5, -1/2, -2, 0.31?
-1/2
What is the second biggest value in 2, 3/7, -2/17, 0.1?
3/7
What is the biggest value in 0, -1/18, -8?
0
Which is the third smallest value? (a) -0.4 (b) 1 (c) 1/202
b
Which is the fifth biggest value? (a) 4 (b) -0.17 (c) 3/2 (d) 2/3 (e) 1
b
Which is the biggest value? (a) -4 (b) 2/3 (c) 1.3 (d) -2
c
Which is the second smallest value? (a) 3/433 (b) 4 (c) 0.4
c
Which is the second smallest value? (a) -0.1 (b) -2 (c) -210 (d) 0.4
b
What is the fourth smallest value in 0.2, 4.93, -1, -4, 0?
0.2
Which is the third biggest value? (a) -2 (b) 15 (c) 6/5 (d) -5
a
What is the biggest value in 2, -1/5, -0.5, 3, -14?
3
What is the biggest value in 2/11, -5, 0.04, -0.4?
2/11
Which is the second smallest value? (a) 2 (b) 0.03 (c) 246
a
Which is the fourth biggest value? (a) -0.3 (b) 5 (c) -4 (d) 2/19
c
What is the biggest value in -275, -1/4, 0, 0.2?
0.2
Which is the fourth biggest value? (a) -1 (b) -2 (c) 0.1 (d) 0.041
b
Which is the fourth smallest value? (a) 1/2 (b) -0.5 (c) -101 (d) 4 (e) 0
a
Which is the third smallest value? (a) 2/11 (b) -7/4 (c) -5
a
Which is the fourth smallest value? (a) -0.4 (b) 2/9 (c) -1/5 (d) 13/8 (e) -1/8
b
Which is the second smallest value? (a) -0.08 (b) -1 (c) 85
a
Which is the fourth smallest value? (a) 9 (b) -0.6 (c) 4 (d) -2/5
a
Which is the fourth smallest value? (a) 1 (b) 0.022 (c) 0 (d) -1
a
What is the second biggest value in -62, 1/5, -1?
-1
Which is the fourth biggest value? (a) -1/4 (b) -3/70 (c) -5 (d) -0.3
c
Which is the fourth smallest value? (a) -0.5 (b) -9.4 (c) 2/3 (d) 0.2
c
Which is the second biggest value? (a) 0 (b) 2 (c) 5 (d) 14
c
What is the third smallest value in 0, 9/4, 2/7?
9/4
What is the third smallest value in 5, 0, -0.49?
5
Which is the biggest value? (a) -0.05 (b) -1 (c) -29
a
Which is the second biggest value? (a) 47 (b) -103 (c) 0
c
Which is the fourth smallest value? (a) -4 (b) 47 (c) -4/3 (d) 1/7
b
Which is the fourth biggest value? (a) 0.3 (b) -1/44 (c) -4/7 (d) -2/7 (e) -3/10
e
Which is the biggest value? (a) 0.4 (b) -26 (c) -0.3 (d) -0.02
a
What is the third smallest value in -2/9, 189, -4?
189
What is the second smallest value in 4/13, 0.7, 4?
0.7
What is the third biggest value in 3, 5/3, 0.1, 351?
5/3
What is the biggest value in 297, -3, 0.4?
297
What is the smallest value in 1, 2/63, 11, 10?
2/63
Which is the third smallest value? (a) 35 (b) 3/2 (c) -0.4
a
Which is the second biggest value? (a) 1/101 (b) 4/3 (c) 0.5
c
What is the third biggest value in 0.1, 2/3, -0.02?
-0.02
Which is the third biggest value? (a) -0.6 (b) -1/7 (c) 0
a
Which is the fourth smallest value? (a) 2/3 (b) -2/11 (c) 19 (d) -2/3
c
What is the biggest value in 0.4, 141, 0.3?
141
Which is the biggest value? (a) 4/13 (b) -5 (c) -0.05
a
What is the smallest value in -3/2, 1/2, -2/7, -61?
-61
What is the third biggest value in -1/4, 6.1, 0.02?
-1/4
What is the second smallest value in 472, 3, 0.3?
3
What is the third smallest value in -5/3, -22, -15?
-5/3
Which is the third smallest value? (a) 1 (b) -6 (c) -4 (d) -3
d
Which is the fourth smallest value? (a) -2/5 (b) 5/7 (c) 5 (d) 1/5 (e) 0
b
What is the second biggest value in -8/9, 154, -1?
-8/9
What is the second biggest value in -5, 5, 1/8, 0.4?
0.4
Which is the fourth biggest value? (a) -2/5 (b) 0.2 (c) -0.5 (d) 1
c
Which is the second smallest value? (a) -0.3 (b) 1/128 (c) -1/9
c
What is the third biggest value in 3/7, -2, -1/135?
-2
Which is the third smallest value? (a) -2.5 (b) 2/7 (c) 4 (d) 2 (e) 0.2
b
Which is the fourth smallest value? (a) 2/3 (b) 0 (c) -1/6 (d) 0.2
a
What is the biggest value in 1/9, 0, -2, 5, 0.1?
5
What is the third smallest value in -1/3, -4.9, -0.1?
-0.1
Which is the second smallest value? (a) -9/19 (b) -3 (c) -1/2
c
Which is the fourth smallest value? (a) -6 (b) -0.5 (c) 3/4 (d) 0.06 (e) 2
c
What is the third smallest value in -158, 2/7, 1?
1
What is the second smallest value in 56, -4, -0.1, 4?
-0.1
What is the third smallest value in 7.6, -26, 1, -2?
1
Which is the second smallest value? (a) 2 (b) 2/5 (c) -5 (d) -0.01
d
Which is the fourth smallest value? (a) 0 (b) 4/3 (c) -3 (d) -2/203 (e) 2
b
Which is the third smallest value? (a) -0.4 (b) 34 (c) 4/9 (d) -17
c
Which is the fourth smallest value? (a) 4 (b) 1.5 (c) 1 (d) -0.1 (e) -10
b
What is the third biggest value in -12, 6, 5?
-12
Which is the third smallest value? (a) 35 (b) -0.3 (c) 3/2 (d) 0.5
c
Which is the second smallest value? (a) 0.4 (b) -81 (c) 1 (d) 0
d
What is the second biggest value in 270, 2/9, 1/6?
2/9
Which is the smallest value? (a) -9 (b) -2/31 (c) -8
a
Which is the third smallest value? (a) 0.045 (b) 4 (c) 6 (d) -2/7
b
Which is the second smallest value? (a) 5 (b) 0.3091 (c) -1 (d) -0.3 (e) -0.2
d
What is the third biggest value in 4, 3/2, -4, -16, 0?
0
Which is the third smallest value? (a) 1/8 (b) -7 (c) 0.5 (d) 111 (e) -4/9
a
Which is the biggest value? (a) 2 (b) -2/17 (c) 49
c
What is the third smallest value in 1, 92, 3?
92
What is the smallest value in 41, -20, -0.3?
-20
What is the biggest value in -27, 9, -2/7?
9
What is the smallest value in -0.4, 150, 2/13, 0.3, 4?
-0.4
What is the second smallest value in 1.92, -3, 5?
1.92
What is the fourth smallest value in 2, 0.3, 0.5, -8?
2
What is the second biggest value in -1/6, 21/5, 2?
2
Which is the second smallest value? (a) 1.7 (b) -26 (c) 5
a
Which is the fifth smallest value? (a) -18 (b) 4 (c) -2/15 (d) -0.5 (e) 0.2
b
Which is the fourth smallest value? (a) 1 (b) 1/34 (c) 2/19 (d) 5
d
Which is the smallest value? (a) 12 (b) 8 (c) -2/7
c
What is the third biggest value in -0.13, -6/13, 3/5?
-6/13
What is the third smallest value in -6, -0.9, -4?
-0.9
What is the third biggest value in 5, 0.2, -267, -2/23?
-2/23
Which is the biggest value? (a) -1/3 (b) -2/5 (c) 1/107
c
Which is the biggest value? (a) -3 (b) 5 (c) -314/5 (d) 0.3
b
Which is the third biggest value? (a) -1/4 (b) -0.1 (c) -5 (d) -26 (e) 0.11
a
Which is the fourth biggest value? (a) 3/5 (b) -1/7 (c) -0.1 (d) -1.9 (e) -0.2
e
Which is the biggest value? (a) -2 (b) -2/3 (c) 1.8 (d) 0.01 (e) -3
c
Which is the second biggest value? (a) 0 (b) 1/10 (c) -558
a
What is the smallest value in 0.4, -57, 3?
-57
What is the second smallest value in 1/5, -0.4, 506?
1/5
Which is the third biggest value? (a) -0.03 (b) 71 (c) -0.2
c
What is the fourth biggest value in 200, 16, 3, 0.3, -0.4?
0.3
What is the fourth smallest value in 11, -60, -2/7, -5?
11
Which is the fourth smallest value? (a) 5 (b) 1 (c) -4 (d) -5 (e) -0.03
b
Which is the second biggest value? (a) 3 (b) 7/2 (c) -2 (d) -1/8
a
What is the fourth smallest value in -0.44, -0.4, 2, -7, -0.1?
-0.1
Which is the biggest value? (a) -4 (b) 58 (c) -0.4
b
Which is the third biggest value? (a) -3 (b) -1 (c) -2
a
What is the fifth smallest value in -2/15, -0.9, 1, -5, 5?
5
Which is the fifth biggest value? (a) -3 (b) 97 (c) 0.4 (d) 0.08 (e) 4
a
What is the smallest value in 4, 3, 17, -2/11?
-2/11
What is the third biggest value in 1/5, -2, -5, 2?
-2
What is the smallest value in 0, -6/323, 0.4?
-6/323
What is the second biggest value in 1540, 3, 5?
5
What is the second biggest value in 5, -0.32, 0?
0
What is the second smallest value in -0.19, -1/6, 4, 2?
-1/6
Which is the fourth biggest value? (a) -2/9 (b) -1/64 (c) 0.4 (d) 0.5 (e) 2/3
b
What is the third smallest value in 2, -0.21, 0.1?
2
Which is the smallest value? (a) 0.6 (b) 0.3 (c) 1/3 (d) -8
d
Which is the fourth biggest value? (a) 2/7 (b) 1/6 (c) 87 (d) -0.5
d
What is the biggest value in 1/6, -0.06, 8?
8
Which is the smallest value? (a) -2/3 (b) 0.3 (c) 3 (d) -0.028
a
What is the third smallest value in -2/21, 102, 1/3?
102
What is the third biggest value in -0.16, 3, 4, 1?
1
What is the third biggest value in 0.5, -2/13, 2/7, -7.2?
-2/13
Which is the smallest value? (a) -5 (b) -
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{
"pile_set_name": "DM Mathematics"
}
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9*s**3 - 6*s**2 + 2. Let g(k) = 9*k**3 + 5*k**2 - 2. Let n(u) = 6*g(u) + 5*m(u). Find the first derivative of n(i) wrt i.
27*i**2
Let i(p) = p**2 - p - 4. Let x be i(3). Differentiate 6*z + 3*z**2 + x - 2*z - 4*z wrt z.
6*z
Suppose 0 = -5*q - 5*a - 15, -2*q = 3*q - a - 9. Find the first derivative of 0*m - 2*m + q + 2 - 2 wrt m.
-2
Let s(n) = 32*n**4 + 37. Let w(z) = 1. Let m(d) = s(d) - 5*w(d). Differentiate m(o) wrt o.
128*o**3
Let m(d) = 11*d**2 - 4*d + 19. Let t(y) = -10*y**2 + 3*y - 18. Let j(q) = 3*m(q) + 4*t(q). What is the first derivative of j(h) wrt h?
-14*h
Let d(f) be the first derivative of 7*f**6/6 + 4*f**3/3 + 2. Find the third derivative of d(o) wrt o.
420*o**2
What is the second derivative of -10*t + 2*t + 11*t**3 - 19*t**3 wrt t?
-48*t
Find the second derivative of -8*n**2 - 2*n - 88 + 88 wrt n.
-16
Let k be 2 - (2 - 1 - 3). Let o(c) = c**3 - 5*c**2 + 4*c + 3. Let d be o(k). What is the third derivative of -g**d - 2 + 2 - 2*g**2 wrt g?
-6
Let t(x) = x**5 + x**3 + x**2 + x. Let u(l) = -32*l**5 + 5*l**3 + 9*l**2 + 5*l. Let f(w) = -5*t(w) + u(w). What is the third derivative of f(q) wrt q?
-2220*q**2
Let j(q) be the third derivative of 1/336*q**8 + 0*q + 0 - 7*q**2 + 2/15*q**5 + 0*q**7 + 0*q**3 + 0*q**6 + 0*q**4. Find the third derivative of j(h) wrt h.
60*h**2
Let p(a) be the third derivative of -4*a**7/105 + a**3/2 + 8*a**2. What is the first derivative of p(t) wrt t?
-32*t**3
Let t(j) = -j**2 - 5*j - 2. Let h be t(-4). Let a(g) = 11*g**2 - g. Let u(l) = -l**2 + l. Let n(c) = h*u(c) + a(c). Find the second derivative of n(p) wrt p.
18
Let y(p) = 9*p + 16. Let j(c) = 26*c + 47. Let f(k) = 6*j(k) - 17*y(k). Differentiate f(x) wrt x.
3
Let u(c) = -c + 6. Let b be u(3). Suppose 6 + 6 = b*p. Find the first derivative of 3*v**p - 3*v**4 + v**4 - 2 wrt v.
4*v**3
Let d(r) be the second derivative of 3*r**6/10 - 8*r**3/3 - 11*r. What is the second derivative of d(a) wrt a?
108*a**2
Let h(m) = m**3 + 16*m**2 - 2*m - 3. Let l(w) = -w**3 - 17*w**2 + w + 3. Let y(i) = -2*h(i) - 3*l(i). What is the second derivative of y(p) wrt p?
6*p + 38
Let g(x) = 2*x**4 + 3*x. Let s = -99 - -103. Let o(i) = 4*i + i**4 + 3 - 2 + 2*i**4. Let v(p) = s*g(p) - 3*o(p). What is the derivative of v(t) wrt t?
-4*t**3
Suppose 3*k - 94 = -k + 3*x, 0 = 3*x - 6. Find the third derivative of -k*v**2 + 6*v**2 + 12*v**2 - 7*v**6 wrt v.
-840*v**3
Find the first derivative of 2 - 45*f**4 + 19 + 16*f**4 wrt f.
-116*f**3
Find the third derivative of -2*d**3 - d**3 + 3*d**3 + 29*d**5 - 4 + 13*d**2 wrt d.
1740*d**2
Let n(k) = 2*k - 6. Let t be n(4). Find the third derivative of 3*y**5 - 3*y**t + 4*y**5 - 9*y**5 wrt y.
-120*y**2
Let p(b) be the third derivative of 0*b**5 + b**2 + 5/336*b**8 + 0 - 1/6*b**4 + 0*b**6 + 0*b**7 + 0*b**3 + 0*b. What is the second derivative of p(m) wrt m?
100*m**3
Let a(o) be the first derivative of 0*o**5 + 0*o - 5 + 4/3*o**3 + 1/2*o**6 + 0*o**4 + 0*o**2. Find the third derivative of a(q) wrt q.
180*q**2
Find the third derivative of -9*o**2 + 7*o**5 + 21*o**5 + 8*o**5 - 19*o**2 wrt o.
2160*o**2
Let z(m) = 2*m**2 + 4*m + 3. Let l be z(-2). What is the second derivative of -2*t + 14*t**l - 11*t**3 + t wrt t?
18*t
Suppose l + 2*v = -0*l - 4, 3*v + 21 = l. Let s(k) = k**2 - 7*k + 9. Let m be s(l). What is the derivative of 1 + 2*o**2 - 4 - m*o**2 - 4*o**2 wrt o?
-10*o
Let r = 89 - 89. Let z(n) be the third derivative of 1/40*n**6 + 0*n + 1/3*n**3 + r + 2*n**2 + 0*n**4 + 0*n**5. What is the derivative of z(m) wrt m?
9*m**2
Let v(x) be the first derivative of 3*x**7/14 + x**3 + 6*x - 7. Let g(q) be the first derivative of v(q). What is the second derivative of g(p) wrt p?
180*p**3
Find the third derivative of -90*j**2 + 3*j**3 + 93*j**2 - 5*j**3 wrt j.
-12
Suppose 0 = 2*g - 6*g + 8. Find the third derivative of 4*r**g + r**3 - 4*r**2 - 2*r**2 wrt r.
6
Let t(m) be the second derivative of -16*m**7/21 + 10*m**3/3 + 22*m. What is the second derivative of t(a) wrt a?
-640*a**3
Let l(r) be the second derivative of 3*r**7/14 + r**3 + 12*r. Find the second derivative of l(j) wrt j.
180*j**3
Let d(t) = -t + 1. Let f(x) = -3*x**3 - 2. Let m(n) = -2*d(n) - f(n). Find the second derivative of m(s) wrt s.
18*s
Let k(r) = -11*r**4 + 7*r**3 - 7*r**2 + 9. Let a(h) = -11*h**4 + 6*h**3 - 6*h**2 + 9. Let z(s) = -7*a(s) + 6*k(s). Differentiate z(v) wrt v.
44*v**3
Let p(y) = 13*y + 7. Let k(m) = -39*m - 20. Let a(s) = 6*k(s) + 21*p(s). Differentiate a(w) with respect to w.
39
Suppose -c - 7 = -3*v, -2*c + 0*v - 4 = -v. Let l be c/(-3 + 22/8). What is the second derivative of -10*y**5 + 4*y - 5*y**4 + 5*y**l + 6*y**5 wrt y?
-80*y**3
Let j = 6 - 7. Let y = j - -5. Find the second derivative of h - 4*h**y + h + 5*h**4 wrt h.
12*h**2
Let y(r) be the first derivative of 5*r**4/4 + r**2/2 - 1. What is the second derivative of y(u) wrt u?
30*u
Let s be (-5)/(-1)*(-24)/(-40). What is the derivative of 6*w - w - s*w + 3*w - 6 wrt w?
5
Let i(a) be the second derivative of a**8/14 + 31*a**4/12 - 47*a. What is the third derivative of i(z) wrt z?
480*z**3
Let b = -7 + 11. Find the second derivative of 2*w**4 + 0*w - w + 0*w - b*w**4 wrt w.
-24*w**2
Let c = -3 - -8. Suppose 0 = 2*g + 3 - 9. Differentiate 0*m - g*m - c + 4 wrt m.
-3
Let h be (-14)/3*9/(-3). Suppose -a + 5*j + h = 2, -5*a - 3*j = -4. What is the second derivative of 3*b + a*b**4 + 4*b - 5*b wrt b?
24*b**2
Let g(j) = j + 19. Let n be g(-14). Find the second derivative of n*d**2 - 5 + 5 - 3*d wrt d.
10
What is the second derivative of 0*j - 13*j - 26*j**4 + 53*j**4 wrt j?
324*j**2
What is the derivative of -15 - 7*r**3 + 37*r - 37*r wrt r?
-21*r**2
Let y(f) be the second derivative of 2*f**7/21 + 7*f**3/2 + 24*f. What is the second derivative of y(j) wrt j?
80*j**3
Let d(w) = 18*w**2 + 4*w + 3. Let h(v) = -37*v**2 - 9*v - 6. Let u(n) = -9*d(n) - 4*h(n). Find the first derivative of u(o) wrt o.
-28*o
Let g(z) be the first derivative of -z**5/10 - 7*z**2/2 - 3*z + 4. Let n(u) be the first derivative of g(u). Find the first derivative of n(m) wrt m.
-6*m**2
Let f(l) be the first derivative of 7 + 8/3*l**3 - 9/2*l**2 + 0*l. What is the second derivative of f(h) wrt h?
16
Let h = -6 + 3. Let m be (-2)/h - (-8)/(-12). What is the second derivative of -g - g - g**3 + m*g wrt g?
-6*g
Let j = 7 + 13. Suppose 0 = -c - 3*c + j. What is the third derivative of -4*z**5 + 2*z**2 - 3*z**c + 0*z**2 + 5*z**5 wrt z?
-120*z**2
Let h(y) be the second derivative of -y**2/2 - 12*y. Let a(i) = i**3 + 1. Let r = -2 - -1. Let q(s) = r*a(s) - 2*h(s). Find the first derivative of q(m) wrt m.
-3*m**2
Find the third derivative of -55*b**6 + 3*b**2 + 44*b**6 - 14 - 29*b**6 wrt b.
-4800*b**3
What is the first derivative of -8*q**2 - 17 + 12 + 11 wrt q?
-16*q
Let l(a) be the first derivative of -4*a**5/5 + 3*a**4/4 - 14*a**3 - 20. Find the third derivative of l(c) wrt c.
-96*c + 18
Let z be 2/(-4)*(-7 + 5). What is the second derivative of -z - 4*d + 2*d + 1 - d**4 wrt d?
-12*d**2
Let w(g) be the first derivative of 0*g**2 + g + 5/3*g**3 - 2. What is the first derivative of w(j) wrt j?
10*j
Suppose 0 = -4*j - 4*h + 20, -j = -h - 2*h + 7. Let d(a) = a**3 + 2*a**2 - a. Let t be d(-2). Find the second derivative of 0*v**t - v + v**2 + 2*v**j wrt v.
6
Let a(i) = 1. Let m(w) = 3*w - 2*w**2 + 2 + 3*w - 3*w - 5*w. Let g(p) = 2*a(p) - m(p). Find the second derivative of g(b) wrt b.
4
What is the third derivative of -12*x**4 + 17*x**2 - 136*x + 136*x wrt x?
-288*x
Let l(n) be the third derivative of -n**6/24 + n**5/20 + 3*n**2. What is the third derivative of l(s) wrt s?
-30
Differentiate 0 + 26*q**3 - 7*q**3 - 7 with respect to q.
57*q**2
Let g(c) = -23*c**4 + 13*c. Let n(m) = -69*m**4 + 38*m. Let o(q) = 11*g(q) - 4*n(q). Find the second derivative of o(h) wrt h.
276*h**2
Suppose 0 = 5*j - 4*c - 18, 0 = -3*c + 4*c - 3. Suppose u - 3*u + 6 = 0. What is the third derivative of -5*d**j + 6*d**6 - u*d - d**2 + 3*d wrt d?
120*d**3
Let g(q) = -q. Let t(f) = f**2 - 26*f. Let r(v) = g(v) + t(v). What is the second derivative of r(a) wrt a?
2
Suppose -3*q + 61 = 4*t + 3, -4*q = -3*t - 44. What is the second derivative of 14 + r**2 + 2*r**2 - r - q wrt r?
6
What is the third derivative of -22*k**6 + 37*k**2 - 11*k**6 - 4*k**6 wrt k?
-4440*k**3
Let x(h) be the second d
|
{
"pile_set_name": "DM Mathematics"
}
|
of -6031*p**4 + p**2 - 57789*p - 1545982247?
-24124*p**3 + 2*p - 57789
What is the first derivative of 23498231*d**3 - 3*d**2 - 178330161?
70494693*d**2 - 6*d
What is the first derivative of 12498143*x**2 - 38794547?
24996286*x
Differentiate -184115655*t**3 - 97777980.
-552346965*t**2
Differentiate 82*n*y - 119372*n - 2*y + 7238384 with respect to n.
82*y - 119372
Differentiate 8253802*s - 8970683 with respect to s.
8253802
What is the third derivative of -130614111*v**3 + 7899*v**2 + 359 wrt v?
-783684666
What is the first derivative of -534674*i**3*w**2 - 42699213*i**3 - 38*i*w**2 wrt w?
-1069348*i**3*w - 76*i*w
Differentiate 72289464*o**2 + 242036839 wrt o.
144578928*o
What is the first derivative of 238104890*v**2 - 126320042?
476209780*v
What is the third derivative of 4*m**5 - 49797646*m**3 + 577*m**2 - 11*m + 1461 wrt m?
240*m**2 - 298785876
What is the derivative of -163551*s**2 - 8*s*v + 29*s - 64347750*v wrt s?
-327102*s - 8*v + 29
Find the first derivative of -11612717*o**3*r + 384*o**3 - o**2 - 2*o + 17 wrt r.
-11612717*o**3
What is the second derivative of 12*a**3*w**2 + 2174*a**3*w + 2*a**3 + 2*a**2*w - 219757*a*w**4 - 87*a*w wrt w?
24*a**3 - 2637084*a*w**2
Differentiate -12485712*c - 1348850 wrt c.
-12485712
Differentiate 13606*k**2 - 562*k*q**3*x**2 - k*q**3 + 5*q**3*x**2 - q**2*x**2 - 26*q**2 - 855*x**2 + 2 with respect to k.
27212*k - 562*q**3*x**2 - q**3
Differentiate 24*f*l*s + 2*f*s**2 - l*s**3 - 99558*l + 528*s**3 - 79 with respect to l.
24*f*s - s**3 - 99558
Find the first derivative of 57*g**2*x**4 + 38168*g**2 + 66651*g*x - 7*g + 4 wrt x.
228*g**2*x**3 + 66651*g
Find the third derivative of 211072623*n**3 - 230737341*n**2 wrt n.
1266435738
What is the second derivative of -10*s**5 - 489764*s**4 - 41318562*s wrt s?
-200*s**3 - 5877168*s**2
What is the third derivative of 9933679*p**2*q**3 - 22*p**2*q**2 + p*q**2 - 2*p - 544*q**2 wrt q?
59602074*p**2
Differentiate -2*v**2*z - 15*v**2 + 855*v*z + 75*v + 203*z - 29986 wrt v.
-4*v*z - 30*v + 855*z + 75
What is the second derivative of s**5 + 17870336*s**3 - 853*s - 10569 wrt s?
20*s**3 + 107222016*s
What is the second derivative of 27*c**3*k*u + 5*c**3*u**3 + 2*c**2*k*u + 6*c**2*k + 2*c*k*u + 3*c*u - 22*c + 12849012*k*u**2 - 2*k*u wrt u?
30*c**3*u + 25698024*k
What is the third derivative of 5*k**5 - 3*k**4 + 4200066*k**3 + 16*k**2 + 1320144 wrt k?
300*k**2 - 72*k + 25200396
What is the third derivative of -318181934*a**6 + 544652430*a**2?
-38181832080*a**3
Find the second derivative of 271*j**5 - 9*j**4 + 193*j**2 + 19743965*j wrt j.
5420*j**3 - 108*j**2 + 386
What is the second derivative of 137867*d**3 + 5*d**2 + 55238*d - 84 wrt d?
827202*d + 10
Find the second derivative of -369*w**4 - 434*w**3 + 9*w**2 + 2179526*w wrt w.
-4428*w**2 - 2604*w + 18
What is the third derivative of 1261369*p**5 - 72*p**2 - 192*p - 1?
75682140*p**2
Find the second derivative of -66496*s**3 - 458*s**2 + 50282446*s wrt s.
-398976*s - 916
Find the third derivative of -28760967*c**6 + 4279722*c**2 wrt c.
-3451316040*c**3
Find the first derivative of 37029515*l**2 + l + 1400835.
74059030*l + 1
Find the first derivative of 2983*g**3 + 783*g + 16957824 wrt g.
8949*g**2 + 783
What is the third derivative of -2505622*x**3 + 62*x**2 - 42279*x?
-15033732
What is the third derivative of -2287498*m**3 - 536703*m**2 wrt m?
-13724988
Find the third derivative of -22856*q**6 + 19*q**5*y + 21098*q**2*y + 11*q**2 + 2*q*y + 4 wrt q.
-2742720*q**3 + 1140*q**2*y
What is the first derivative of -6070208*r**2 + 33174642?
-12140416*r
Differentiate 6278405*q**2 + 60732431 wrt q.
12556810*q
Differentiate h**3 - 7*h**2 + 10007*h + 6656223 with respect to h.
3*h**2 - 14*h + 10007
What is the derivative of 223*w**4 + 384*w**3 + 1149*w + 871720413 wrt w?
892*w**3 + 1152*w**2 + 1149
Find the first derivative of 115017684*b*h**3 - 205511302*b wrt h.
345053052*b*h**2
What is the derivative of -p**3 + 53954033*p**2 - 77362193 wrt p?
-3*p**2 + 107908066*p
What is the derivative of -695*u**4 + 359*u**2 + u + 6590385?
-2780*u**3 + 718*u + 1
What is the third derivative of 2490346*h**5 + 3*h**4 + h**2 + 353756*h?
149420760*h**2 + 72*h
What is the second derivative of 29412828*m**4 - 65790670*m?
352953936*m**2
Differentiate 88860803*r**2 - 154178720.
177721606*r
Find the third derivative of -k**3*n**3*y**3 + 6880572*k**3*n*y**3 - 28*k**2*n**3*y**2 - 249*k**2*n**2*y + 138*k*y**3 wrt k.
-6*n**3*y**3 + 41283432*n*y**3
Find the third derivative of -240*r*s**6 + 159830*r*s**4 + 145548*r*s**2 - 526*s**2 wrt s.
-28800*r*s**3 + 3835920*r*s
Differentiate 3*b**4 + 2*b**3 + 8409*b**2 - 5*b - 1482149 with respect to b.
12*b**3 + 6*b**2 + 16818*b - 5
Find the second derivative of 56*t**4 + 297125*t**2 - 426573099*t.
672*t**2 + 594250
What is the first derivative of -4658706*l**2 + 4307376 wrt l?
-9317412*l
What is the first derivative of 62*x**2 + 52604*x + 151613862 wrt x?
124*x + 52604
Find the second derivative of -353366*i**4 + 2*i**3 + 2*i**2 + 4426045*i wrt i.
-4240392*i**2 + 12*i + 4
What is the first derivative of -301603538*b - 223032846?
-301603538
Differentiate -b**3*q + 3*b**3*w + 359*b**2 - 2*b*q**3 - 201970*q*w + 2*w - 368 with respect to q.
-b**3 - 6*b*q**2 - 201970*w
Find the third derivative of 7211753*c**5 + c**3 - 2*c**2 + 1528*c - 392 wrt c.
432705180*c**2 + 6
Find the second derivative of -75664849*n**2 - 52*n + 3180162 wrt n.
-151329698
What is the third derivative of -974265*t**6 + 78777681*t**2?
-116911800*t**3
Find the third derivative of 46*b**4 - 1866*b**3 + 2738034*b**2.
1104*b - 11196
Find the third derivative of -5303*f**4*l - 3053*f**3*l**3 + 2*f**2*l**3 + 29750514*f**2*l wrt f.
-127272*f*l - 18318*l**3
Find the third derivative of -198*i*l**4 + i*l**2 - 4928*i*l + 57*i + 23387*l**5 - 2 wrt l.
-4752*i*l + 1403220*l**2
What is the second derivative of -24666888*w**3 + 3*w - 211751?
-148001328*w
Differentiate 56292361*b**2*t + 406759371*t wrt b.
112584722*b*t
What is the second derivative of 8*g*h**3 + 28170*g*h**2 + 9431*g*h - g + 128*h**3 + 353*h - 7 wrt h?
48*g*h + 56340*g + 768*h
Differentiate -13198*j**3*m**2 + 104782*j**3 - 16*j**2 - 156*j*m + 3*m**2 wrt m.
-26396*j**3*m - 156*j + 6*m
Find the second derivative of 15781*n**5 - 21*n**2 + 3528338*n - 8 wrt n.
315620*n**3 - 42
What is the third derivative of -928648972*p*s**3 - 6620*p*s**2 - 24720*p wrt s?
-5571893832*p
What is the derivative of 18255285*f**3 + 3496333?
54765855*f**2
What is the third derivative of 4*p**6 + 94647*p**4 - 230*p**2 + 90*p + 6?
480*p**3 + 2271528*p
Find the second derivative of -a**2*c**2 - 3*a**2*c + 6*a**2 + 25973529*a*c**2 + 20*a*c - 1413*c + 17 wrt c.
-2*a**2 + 51947058*a
Find the second derivative of -27246620*o**3 + 27865580*o wrt o.
-163479720*o
Find the second derivative of 12898430*j**3*x**3 - 2*j*x**2 - 3*j*x + 19*x**3 - 12122*x - 2 wrt j.
77390580*j*x**3
What is the first derivative of -451465*w**4 + 86109497?
-1805860*w**3
Differentiate 12*q*x**2 - 3*q - 65353*x**2 - 2587276 with respect to x.
24*q*x - 130706*x
What is the second derivative of 36607386*l**2*q*u + 4*l**2*u - 76*l*q*u + 7*l*q + 3*l*u + 4*q*u - 3*q - 2*u - 62 wrt l?
73214772*q*u + 8*u
What is the derivative of 10572038*r*s**3 + 16305975*s**3 wrt r?
10572038*s**3
Differentiate -13656826*y + 12241740.
-13656826
Differentiate -2*i**3 + 1458634*i**2 + 2*i + 29094759 wrt i.
-6*i**2 + 2917268*i + 2
Find the second derivative of -342056968*v**2 - 15*v - 235294 wrt v.
-684113936
Find the second derivative of -506068234*w**2*y**2 + 2*w**2*y - 15*w**2 + 12727*w*y - w - 6*y + 1 wrt y.
-1012136468*w**2
Find the third derivative of -11379353*b**4*i**3 - 13*b**2*i**3 + i**3 + 5587*i**2 wrt b.
-273104472*b*i**3
Find the third derivative of -1414*h**3*m**2*v**3 + 32*h**3*m**2*v**2 - 5*h**3*m**2*v - 8556*h**3*m - 23746*h**3*v**3 + 2*h*m*v**2 + 2*h*v wrt v.
-8484*h**3*m**2 - 142476*h**3
What is the derivative of 19457773*a - 822448?
19457773
Find the third derivative of 45*q**5 - 848612*q**3 - 199793169*q**2.
2700*q**2 - 5091672
Find the third derivative of i**3*k**2*p + 4428892*i**3*k*p + i**2*k**2*p - i**2*p + 3*i**2 + 3*i*k**2 - 2*i*k*p + 20795*k*p wrt i.
6*k**2*p + 26573352*k*p
Find the second derivative of 16261616*k*y**2 + 8519*k*y - 285*k - y - 1 wrt y.
3252323
|
{
"pile_set_name": "DM Mathematics"
}
|
nce ccdd.
1/36
Two letters picked without replacement from rcr. Give prob of sequence rc.
1/3
Four letters picked without replacement from xxxxdsssx. What is prob of sequence dxss?
5/504
Three letters picked without replacement from {g: 3, m: 3, a: 5, z: 5, c: 2}. What is prob of sequence maz?
25/1632
Calculate prob of sequence ol when two letters picked without replacement from {o: 1, u: 2, a: 1, k: 1, w: 1, l: 2}.
1/28
What is prob of sequence tl when two letters picked without replacement from {t: 3, l: 13}?
13/80
Two letters picked without replacement from {f: 4, w: 1, k: 2, v: 1, z: 1}. Give prob of sequence fz.
1/18
Three letters picked without replacement from {w: 3, v: 5, q: 1, b: 2, a: 1}. What is prob of sequence qwv?
1/88
Calculate prob of sequence ggzj when four letters picked without replacement from {u: 6, g: 2, j: 1, z: 7, w: 1}.
1/4080
Three letters picked without replacement from nlrnomr. What is prob of sequence ror?
1/105
Two letters picked without replacement from lnsslllnswwslngewn. What is prob of sequence wg?
1/102
Calculate prob of sequence wuu when three letters picked without replacement from vuwuqqwwuvwwwwuwu.
2/51
Four letters picked without replacement from grlrllgrlr. What is prob of sequence glrl?
2/105
Three letters picked without replacement from lnnnnlnplln. Give prob of sequence lll.
4/165
What is prob of sequence yyl when three letters picked without replacement from {y: 6, l: 6}?
3/22
Two letters picked without replacement from csckgcckkeskcfg. What is prob of sequence ek?
2/105
Calculate prob of sequence js when two letters picked without replacement from {s: 4, g: 2, j: 2, n: 11}.
4/171
Two letters picked without replacement from rrrrrroroor. What is prob of sequence or?
12/55
Two letters picked without replacement from {o: 9, z: 4, p: 1}. What is prob of sequence zo?
18/91
Calculate prob of sequence sme when three letters picked without replacement from mseemssmssesms.
1/26
Calculate prob of sequence kk when two letters picked without replacement from kykyk.
3/10
What is prob of sequence hzhd when four letters picked without replacement from {x: 7, h: 2, d: 4, z: 1, k: 2}?
1/5460
Three letters picked without replacement from cxcxxxxuucxx. What is prob of sequence ucc?
1/110
Calculate prob of sequence syy when three letters picked without replacement from {y: 2, s: 1, p: 1}.
1/12
Calculate prob of sequence jjdg when four letters picked without replacement from {g: 9, j: 5, h: 1, d: 3}.
1/136
What is prob of sequence zmof when four letters picked without replacement from {o: 1, z: 1, m: 1, g: 2, u: 1, f: 1}?
1/840
Four letters picked without replacement from ffffxxxfff. What is prob of sequence fffx?
1/8
Calculate prob of sequence uj when two letters picked without replacement from {v: 1, u: 3, b: 1, z: 1, j: 1}.
1/14
Calculate prob of sequence ffy when three letters picked without replacement from {y: 1, f: 2, x: 1}.
1/12
Calculate prob of sequence cldc when four letters picked without replacement from {l: 7, c: 7, d: 4}.
49/3060
What is prob of sequence cln when three letters picked without replacement from ccjnwcclc?
5/504
Calculate prob of sequence qqgg when four letters picked without replacement from {g: 3, b: 7, q: 2}.
1/990
Calculate prob of sequence uzbi when four letters picked without replacement from uwwwbzzzbbzbbibbbb.
1/2040
Four letters picked without replacement from aalfaxaalaaawwx. Give prob of sequence lxwa.
8/4095
Three letters picked without replacement from {l: 1, q: 2, k: 5, e: 1, i: 3}. Give prob of sequence iei.
1/220
Calculate prob of sequence ccnc when four letters picked without replacement from {n: 17, c: 3}.
1/1140
Four letters picked without replacement from iyijyyyjyiji. What is prob of sequence yyji?
2/99
Two letters picked without replacement from qqqqiid. What is prob of sequence di?
1/21
Three letters picked without replacement from {d: 2, v: 4}. What is prob of sequence vdd?
1/15
Two letters picked without replacement from {z: 1, f: 1, p: 1}. Give prob of sequence zf.
1/6
Calculate prob of sequence mwm when three letters picked without replacement from wmwmww.
1/15
Two letters picked without replacement from ggxg. What is prob of sequence gg?
1/2
Calculate prob of sequence zu when two letters picked without replacement from zelekuzkeklx.
1/66
Three letters picked without replacement from {l: 1, g: 3, y: 1, q: 5, r: 4, a: 1}. What is prob of sequence rla?
2/1365
Three letters picked without replacement from ovgiiviaiiiavaavaav. Give prob of sequence vav.
20/969
Calculate prob of sequence rc when two letters picked without replacement from rcrrcccvccvcr.
7/39
Two letters picked without replacement from {i: 4, e: 6, j: 1}. What is prob of sequence ii?
6/55
Calculate prob of sequence bb when two letters picked without replacement from qsqbb.
1/10
Four letters picked without replacement from zeggogezooog. What is prob of sequence oeoe?
1/495
Three letters picked without replacement from nxyxmfi. Give prob of sequence nmf.
1/210
Calculate prob of sequence ee when two letters picked without replacement from {e: 3, u: 6, c: 6}.
1/35
What is prob of sequence wz when two letters picked without replacement from {z: 1, a: 1, w: 2}?
1/6
Two letters picked without replacement from {t: 13, g: 2, w: 5}. What is prob of sequence gw?
1/38
Calculate prob of sequence hgih when four letters picked without replacement from hhhhhgphshihhgsihhgh.
11/1615
Three letters picked without replacement from {q: 2, k: 1, d: 2}. What is prob of sequence qkd?
1/15
What is prob of sequence yy when two letters picked without replacement from {x: 3, v: 1, y: 5}?
5/18
What is prob of sequence lbi when three letters picked without replacement from {b: 1, l: 1, t: 1, s: 1, i: 1}?
1/60
Calculate prob of sequence yee when three letters picked without replacement from {e: 2, y: 1}.
1/3
Four letters picked without replacement from azaziaazazzzaiazaz. What is prob of sequence zaii?
4/2295
Four letters picked without replacement from owmdvjjvo. What is prob of sequence ojmd?
1/756
Two letters picked without replacement from iifi. Give prob of sequence fi.
1/4
Two letters picked without replacement from ihssyyibiisys. What is prob of sequence si?
4/39
Calculate prob of sequence afsf when four letters picked without replacement from aaffaasaafaasssf.
4/455
Calculate prob of sequence hsx when three letters picked without replacement from {h: 1, s: 4, x: 5, o: 1, u: 4}.
2/273
Calculate prob of sequence pk when two letters picked without replacement from {u: 3, p: 2, k: 5}.
1/9
Calculate prob of sequence ozz when three letters picked without replacement from {z: 2, o: 2}.
1/6
What is prob of sequence xz when two letters picked without replacement from {x: 1, z: 1, c: 3}?
1/20
What is prob of sequence yt when two letters picked without replacement from ylylcto?
1/21
Three letters picked without replacement from yfyf. Give prob of sequence yfy.
1/6
Four letters picked without replacement from ttttttltttttttttut. Give prob of sequence ttlt.
7/153
Two letters picked without replacement from {q: 1, e: 5, x: 4, l: 6}. Give prob of sequence ql.
1/40
Calculate prob of sequence cc when two letters picked without replacement from iiciiiiic.
1/36
Three letters picked without replacement from {l: 1, h: 3, e: 2, k: 13}. Give prob of sequence khk.
26/323
Three letters picked without replacement from {n: 10, m: 2}. What is prob of sequence mnm?
1/66
What is prob of sequence isii when four letters picked without replacement from {o: 8, u: 1, s: 1, i: 6}?
1/364
Calculate prob of sequence sr when two letters picked without replacement from wrs.
1/6
What is prob of sequence qf when two letters picked without replacement from {p: 3, b: 2, q: 4, j: 3, n: 2, f: 1}?
2/105
Four letters picked without replacement from {v: 4, j: 5, u: 1}. What is prob of sequence jvuj?
1/63
Two letters picked without replacement from {z: 1, f: 2, n: 3, o: 5, i: 1}. Give prob of sequence if.
1/66
Calculate prob of sequence il when two letters picked without replacement from uuwwwuqulpliluwuppq.
1/114
Three letters picked without replacement from {k: 2, p: 2}. What is prob of sequence pkp?
1/6
Four letters picked without replacement from {g: 3, j: 3}. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
*q + 2. What is p(-8)?
-6
Let b(y) = -14*y - 246. What is b(-6)?
-162
Let t(q) = 2*q**2 + 274*q + 1561. Determine t(-6).
-11
Let w(g) = -387*g - 364. Calculate w(-1).
23
Let s(d) = -8*d**3 - 5*d**2 + 9*d - 27. Give s(3).
-261
Let a(b) = 9335*b - 121347. What is a(13)?
8
Let j(c) = -c**2 + 8*c + 50. Give j(12).
2
Let n(o) = -97*o + 166. Give n(6).
-416
Let g(o) = -576*o + 27031. Calculate g(47).
-41
Let o(u) = 4302*u + 34431. Give o(-8).
15
Let a(m) = -m**3 - 12*m**2 - 23*m - 4. What is a(-10)?
26
Let a(l) = 4683*l + 28094. Calculate a(-6).
-4
Let a(o) = o**3 - 16*o**2 + 24*o + 12. What is a(2)?
4
Let i(d) = 6*d**2 - 30*d - 30. Give i(-1).
6
Let b(w) = -657*w - 4566. Calculate b(-7).
33
Let n(t) = -t**2 + 93*t - 901. Calculate n(11).
1
Let k(r) = -r + 75. Calculate k(10).
65
Let i(x) = x**3 + 12*x**2 - 93*x - 10. Calculate i(-17).
126
Let k(g) = -g**3 - 50*g**2 + 10*g + 419. Give k(-50).
-81
Let q(i) = -233*i - 1125. Determine q(-5).
40
Let m(w) = 20*w - 459. What is m(23)?
1
Let z(h) = -h**3 - 21*h**2 - 45*h - 151. What is z(-19)?
-18
Let k(u) = 49*u**2 + 72*u + 319. What is k(-4)?
815
Let f(n) = -n**3 - 49*n**2 + 27*n - 1197. Give f(-50).
-47
Let p(g) = 53*g**2 - 163*g + 1. Calculate p(3).
-11
Let g(w) = 29*w - 51. Give g(3).
36
Let u(i) = 2*i**3 + 33*i**2 - 19*i - 10. Determine u(-17).
24
Let s(b) = -b**3 + 19*b**2 + 105*b - 863. Give s(22).
-5
Let g(t) = 220*t - 12905. What is g(59)?
75
Let a(w) = -51*w + 674. Calculate a(12).
62
Let z(s) = -189*s - 742. Calculate z(-4).
14
Let x(s) = -24*s**3 - 75*s**2 + 5. Calculate x(-3).
-22
Let z(y) = y**2 + 34*y + 249. Determine z(-24).
9
Let i(f) = -f**3 - 2*f**2 + 11*f - 30. Calculate i(-5).
-10
Let b(q) = q**3 + 9*q**2 - 13*q - 60. Determine b(-10).
-30
Let s(j) = -15*j + 219. Calculate s(18).
-51
Let s(x) = 214*x - 9. Give s(2).
419
Let w(k) = k**3 - 44*k**2 + 3*k - 96. Calculate w(44).
36
Let w(m) = -240*m + 26639. Give w(111).
-1
Let i(q) = -8*q + 61. What is i(12)?
-35
Let s(v) = -3*v**3 + 92*v**2 + 36*v - 121. Determine s(31).
34
Let n(m) = 499*m + 48397. What is n(-97)?
-6
Let h(d) = 990*d + 4949. Give h(-5).
-1
Let f(m) = -117*m + 1766. Give f(15).
11
Let f(s) = -s**3 - 32*s**2 - 87*s + 25. What is f(-29)?
25
Let c(w) = w**3 + w**2 + 117*w + 504. Calculate c(-4).
-12
Let n(l) = l**3 + 20*l**2 + 29*l + 54. Calculate n(-19).
-136
Let c(n) = 50*n**2 + 7*n + 1. What is c(1)?
58
Let f(o) = 2*o**2 - 31*o - 20. Calculate f(15).
-35
Let m(o) = 4*o**2 - 633*o + 28. Determine m(0).
28
Let f(r) = -1212*r + 10908. Calculate f(9).
0
Let f(a) = -132*a + 128. What is f(1)?
-4
Let c(a) = -69*a + 3274. Determine c(47).
31
Let u(s) = -24*s + 221. Determine u(10).
-19
Let q(j) = -4*j**2 - 42*j - 144. Calculate q(-9).
-90
Let v(f) = f**2 - 36*f - 970. What is v(-18)?
2
Let o(j) = 5*j**2 - 10*j - 11. Give o(6).
109
Let m(w) = -w**3 - 14*w**2 - 20*w + 47. What is m(-12)?
-1
Let c(k) = -16*k + 967. Give c(44).
263
Let c(q) = -3*q**2 - 73*q + 317. Give c(-34).
-669
Let a(n) = -n**3 + 2*n**2 + 34*n - 42. Determine a(7).
-49
Let u(n) = -n**2 + 454*n + 33. Give u(0).
33
Let g(x) = 83*x + 508. Calculate g(-6).
10
Let n(b) = b**3 + 6*b**2 - 641*b - 4440. Determine n(-7).
-2
Let g(h) = 11*h + 30. Calculate g(-7).
-47
Let k(t) = -74*t**2 + 12*t - 26. Give k(2).
-298
Let v(i) = i + 40. Give v(-41).
-1
Let r(m) = -59*m + 295. Give r(13).
-472
Let p(q) = 7*q - 11. What is p(16)?
101
Let z(w) = w**3 - 10*w**2 - 68*w + 99. Calculate z(14).
-69
Let b(h) = -3*h**2 + 16*h + 277. Determine b(-10).
-183
Let o(s) = -s**3 + s**2 + 22*s + 13. What is o(-6)?
133
Let y(p) = -168*p - 1051. Give y(-6).
-43
Let y(u) = 473*u - 3780. Calculate y(8).
4
Let v(s) = 43*s**2 + 505*s - 120. Determine v(-12).
12
Let n(w) = 202*w - 257. Determine n(2).
147
Let f(o) = 4*o**2 - 932*o + 5437. Give f(6).
-11
Let l(d) = 388*d + 10094. Determine l(-26).
6
Let z(u) = 4*u + 94. Calculate z(-39).
-62
Let w(t) = -4*t + 142. Calculate w(26).
38
Let u(d) = d**3 - 40*d**2 - 25*d + 965. What is u(40)?
-35
Let d(j) = -j**3 + 23*j**2 - 34*j + 8. Give d(6).
416
Let a(y) = 4778*y + 19112. What is a(-4)?
0
Let g(z) = -36*z - 40. Calculate g(-5).
140
Let b(q) = -3*q**2 + 29*q - 13. Give b(6).
53
Let m(j) = 20*j - 216. Give m(12).
24
Let a(x) = 4*x**2 - 1130*x - 1697. Determine a(284).
7
Let i(a) = -a**2 + 631*a + 13. Calculate i(0).
13
Let t(m) = -13*m + 85. Give t(9).
-32
Let d(z) = -3*z**3 + 227*z**2 + 103*z - 1950. What is d(76)?
102
Let t(h) = 23*h + 737. Give t(-35).
-68
Let t(w) = 153*w - 228. Determine t(2).
78
Let q(y) = y**3 - 93*y**2 - 921*y - 17. Determine q(-9).
10
Let h(w) = -w**3 + 11*w**2 + 9. Determine h(6).
189
Let s(f) = -8*f**2 + 58*f + 104. Give s(8).
56
Let h(b) = -b**3 - 7*b**2 - 13*b - 74. What is h(-7)?
17
Let a(o) = -4*o - 69. What is a(28)?
-181
Let b(d) = 84*d + 306. Give b(-4).
-30
Let g(c) = 321*c + 3374. Calculate g(-10).
164
Let i(g) = 16*g**2 + 421*g - 282. Give i(-27).
15
Let c(a) = -3*a**3 + 215*a**2 - 144*a + 69. Calculate c(71).
-73
Let x(z) = -z**3 + z**2 + 36*z + 44. What is x(-8)?
332
Let x(t) = t**2 + 794*t + 4733. What is x(-6)?
5
Let z(c) = 81*c + 4684. Calculate z(-58).
-14
Let y(f) = f**3 - 8*f**2 + 8*f - 33. Determine y(6).
-57
Let g(m) = -3*m**3 - 72*m**2 + 25*m - 96. Determine g(-24).
-696
Let q(b) = 2*b**2 + 14*b + 110. Give q(-13).
266
Let p(w) = -11*w - 248. Determine p(-25).
27
Let x(y) = y**2 - 61*y + 927. Determine x(32).
-1
Let j(t) = -t**3 + 10*t**2 - 27*t + 30. Calculate j(6).
12
Let u(z) = -2*z**2 + 81*z - 525. Give u(8).
-5
Let g(y) = y**3 + 41*y**2 - 99. Calculate g(-41).
-99
Let m(s) = 321*s + 3896. What is m(-12)?
44
Let p(c) = -162*c + 846. Determine p(5).
36
Let g(k) = k**3 - 7*k**2 - 9*k + 67. What is g(5)?
-28
Let r(b) = 18*b**2 + 132*b + 243. What is r(-3)?
9
Let j(p) = 12*p - 49. What is j(13)?
107
Let k(x) = -475*x - 1438. Determine k(-3).
-13
Let f(l) = l + 115. Calculate f(-26).
89
Let m(s) = -32*s**2 + 964*s + 20. Calculate m(30).
140
Let z(y) = 200*y**3 + 1200*y**2 - 4*y - 4. Calculate z(-6).
20
Let x(a) = 174*a + 8575. Determine x(-48).
223
Let f(j) = -67*j + 31. Give f(3).
-170
Let j(o) = -o**3 - 93*o**2 - 91*o + 119. Determine j(-92).
27
Let g(b) = 19*b**3 + b**2 - 7*b + 6. Determine g(1).
19
Let b(u) = -31*u - 1879. Give b(-57).
-112
Let t(m) = m**3 - m**2 - 112*m - 5. What is t(-7)?
387
Let u(z) = -z**2 + 25*z - 87. Calculate u(21).
-3
Let z(d) = 112*d - 4160. What is z(37)?
-16
Let b(p) = 16*p + 65. Give b(4).
129
Let v(a) = -188*a - 598. What is v(-4)?
154
Let f(l) = l**2 + 8*l - 256. Calculate f(0).
-256
Let t(a) = -7*a**2 + 123*a - 2. What is t(18)?
-56
Let g(x) = x**3 + 14*x**2 - 40*x - 389. What is g(-15)?
-14
Let c(n) = -686*n + 2746. Determine c(4).
2
Let d(l) = 463*l + 53250. Calculate d(-115).
5
Let v(h) = h**2 + 2*h + 25. Give v(-7).
60
Let w(z) = 12*z + 821. Calculate w(-59).
113
Let x(p) = 3*p**3 - 168*p**2 - p + 54. Give x(56).
-2
Let k(j) = -11014*j - 88116. What is k(-8)?
-4
Let r(i) = -i**3 - 6*i**2 + 14*i + 45. What is r(4)?
-59
Let g(m) = m**3 + 7*m**2 - 143*m - 1098. What is g(-8)?
-18
Let m(y) = -119*y - 402. Determine m(3).
-759
Let h(o) = 108*o - 1818. Calculate h(17).
18
Let w(r) = 101*r**2 + 1832*r + 257. Give w(-18).
5
Let m(l) = l**3 + 5*l**2 + 20*l - 8. What is m(-5)?
-108
Let z(x) = -43*x - 182. What is z(-6)?
76
Let q(l) = -l**2 + 22*l + 323. Determine q(33).
-40
Let g(b) = -3*b**3 - 37*b**2 - 5*b + 97. What is g(-12)?
13
Let d(n) = 114*n - 579. Give d(5).
-9
Let h(x) = x**2 - 415*x - 6446. Determine h(-15).
4
Let m(a) = -a**2 - 20*a - 91. Determine m(-10).
9
Let m(z) = z**3 - 49*z**2 + 83*z + 301. Give m(47).
-216
Let q(c) = -39*c**2 + 439*c + 345. What is q(12)?
-3
Let o(a) = a**3 + 16*a**2 - 134*a - 53. What is o(-22)?
-9
Let z(w) = -w + 40. What is z(-17)?
57
Let z(k) = k**2 - 47*k + 131. Calculate z(44).
-1
Let x(h) = 19*h - 107. What is x(-20)?
-487
Let c(w) = -8*w + 829. What is c(104)?
-3
Let c(q) = -13*q**2 + 343*q + 95. Give c(25).
545
Let q(n) = 43*n + 1232. Give q(-27).
71
Let u(g) = 147*g + 5047. Give u(-34).
49
Let k(i) = -i**2 + 23*i - 137. What is k(13)?
-7
Let t(x) = -24*x - 50. What is t(6)?
-194
Let k(g) = g**2 - 16*g + 18. Determine k(15).
3
Let v(a) = 661*a + 656. What is v(-1)?
-5
Let u(t) = t**2 + 20*t - 50. Calculate u(-23).
19
Let h(t
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the remainder when 292914 is divided by 4437?
72
Calculate the remainder when 4513164 is divided by 1583.
31
Calculate the remainder when 3148090 is divided by 10.
0
What is the remainder when 234280 is divided by 605?
145
What is the remainder when 34572 is divided by 3257?
2002
What is the remainder when 286546 is divided by 31838?
4
Calculate the remainder when 281393 is divided by 1177.
90
Calculate the remainder when 43513 is divided by 5435.
33
What is the remainder when 209120 is divided by 41823?
5
Calculate the remainder when 910732 is divided by 940.
812
What is the remainder when 1257787 is divided by 207?
55
Calculate the remainder when 155073 is divided by 77436.
201
Calculate the remainder when 108586249 is divided by 266.
261
Calculate the remainder when 18166218 is divided by 1037.
52
What is the remainder when 160671 is divided by 1576?
1495
Calculate the remainder when 39025310 is divided by 1062.
1058
Calculate the remainder when 57600227 is divided by 14.
13
What is the remainder when 11415905 is divided by 183?
182
What is the remainder when 160175 is divided by 155?
60
What is the remainder when 30019 is divided by 4439?
3385
Calculate the remainder when 3674207 is divided by 1433.
1428
Calculate the remainder when 107969772 is divided by 15.
12
What is the remainder when 1306465 is divided by 24?
1
Calculate the remainder when 39949 is divided by 1020.
169
What is the remainder when 6057831 is divided by 902?
901
Calculate the remainder when 92095 is divided by 15045.
1825
What is the remainder when 198638937 is divided by 202?
15
What is the remainder when 2961208 is divided by 1480596?
16
What is the remainder when 73478 is divided by 8157?
65
What is the remainder when 906445 is divided by 10289?
1013
Calculate the remainder when 505077 is divided by 8138.
521
Calculate the remainder when 16990623 is divided by 16.
15
Calculate the remainder when 62637 is divided by 62480.
157
What is the remainder when 1576365 is divided by 24?
21
Calculate the remainder when 14252621 is divided by 233.
11
What is the remainder when 821299 is divided by 7019?
76
Calculate the remainder when 479993 is divided by 979.
283
Calculate the remainder when 942190 is divided by 431.
24
Calculate the remainder when 24616 is divided by 23468.
1148
Calculate the remainder when 2014571 is divided by 17518.
1
Calculate the remainder when 39296947 is divided by 2859.
2851
Calculate the remainder when 28848589 is divided by 121.
11
Calculate the remainder when 383195 is divided by 471.
272
Calculate the remainder when 36886378 is divided by 353.
349
What is the remainder when 17603052 is divided by 14880?
12
Calculate the remainder when 5795721 is divided by 5795691.
30
Calculate the remainder when 1805780 is divided by 69442.
288
What is the remainder when 3158822 is divided by 7557?
7553
What is the remainder when 292043 is divided by 7123?
0
What is the remainder when 7069420 is divided by 228?
52
Calculate the remainder when 2805995 is divided by 41.
37
Calculate the remainder when 150794 is divided by 2154.
14
What is the remainder when 645796202 is divided by 1268?
1266
Calculate the remainder when 277550 is divided by 92413.
311
What is the remainder when 639417 is divided by 331?
256
Calculate the remainder when 252862782 is divided by 35.
32
Calculate the remainder when 2872753 is divided by 1680.
1633
What is the remainder when 2066128 is divided by 344340?
88
Calculate the remainder when 208478 is divided by 2935.
93
Calculate the remainder when 145176 is divided by 10144.
3160
Calculate the remainder when 102315839 is divided by 371.
346
Calculate the remainder when 264865 is divided by 1506.
1315
Calculate the remainder when 2422044 is divided by 775.
169
What is the remainder when 30691 is divided by 1526?
171
Calculate the remainder when 157904 is divided by 12.
8
Calculate the remainder when 262893 is divided by 288.
237
What is the remainder when 107884 is divided by 100088?
7796
What is the remainder when 15151712 is divided by 108?
68
Calculate the remainder when 278610 is divided by 327.
6
What is the remainder when 1877416 is divided by 1877000?
416
What is the remainder when 1578783 is divided by 526247?
42
Calculate the remainder when 2123294 is divided by 212328.
14
What is the remainder when 368340193 is divided by 184170089?
15
Calculate the remainder when 969903 is divided by 18297.
162
Calculate the remainder when 1565120 is divided by 990.
920
What is the remainder when 62379393 is divided by 418?
417
Calculate the remainder when 8442538 is divided by 82.
64
What is the remainder when 15312844 is divided by 29?
3
Calculate the remainder when 2365873 is divided by 15668.
5
Calculate the remainder when 2392106 is divided by 9724.
2
Calculate the remainder when 9804842 is divided by 4902397.
48
Calculate the remainder when 1121277 is divided by 374.
25
What is the remainder when 2381502 is divided by 8240?
142
What is the remainder when 86996802 is divided by 826?
4
Calculate the remainder when 5168850 is divided by 90.
60
What is the remainder when 5100257 is divided by 34461?
29
Calculate the remainder when 34405 is divided by 6472.
2045
Calculate the remainder when 327815 is divided by 1047.
104
Calculate the remainder when 27753 is divided by 1704.
489
What is the remainder when 121979 is divided by 119659?
2320
What is the remainder when 16872264 is divided by 196?
192
What is the remainder when 37204509 is divided by 5126?
1
Calculate the remainder when 211413 is divided by 7899.
6039
What is the remainder when 8559 is divided by 1217?
40
Calculate the remainder when 1070338 is divided by 62957.
69
What is the remainder when 10392 is divided by 1693?
234
What is the remainder when 3300822 is divided by 308?
294
Calculate the remainder when 216941338 is divided by 210.
208
What is the remainder when 1217317 is divided by 608641?
35
Calculate the remainder when 353859 is divided by 12452.
5203
What is the remainder when 734806 is divided by 91824?
214
Calculate the remainder when 15937815 is divided by 52427.
7
Calculate the remainder when 636643 is divided by 24964.
12543
Calculate the remainder when 4755913 is divided by 3385.
3373
Calculate the remainder when 55817 is divided by 1428.
125
Calculate the remainder when 34279 is divided by 92.
55
Calculate the remainder when 125320 is divided by 20879.
46
Calculate the remainder when 537942587 is divided by 176.
171
Calculate the remainder when 858864 is divided by 144.
48
What is the remainder when 4211055 is divided by 12066?
21
What is the remainder when 56451174 is divided by 1441?
1440
What is the remainder when 152599536 is divided by 164?
160
Calculate the remainder when 8939981 is divided by 26.
11
Calculate the remainder when 2176091 is divided by 4.
3
Calculate the remainder when 1418743 is divided by 1418726.
17
Calculate the remainder when 17135372 is divided by 17135362.
10
What is the remainder when 987694 is divided by 3580?
3194
What is the remainder when 1708217 is divided by 6675?
6092
What is the remainder when 215704 is divided by 215666?
38
Calculate the remainder when 75959 is divided by 24927.
1178
What is the remainder when 1148745 is divided by 287180?
25
Calculate the remainder when 2557362 is divided by 122.
120
Calculate the remainder when 7079121 is divided by 52.
49
What is the remainder when 1670046 is divided by 5819?
5812
What is the remainder when 312346 is divided by 2603?
2589
What is the remainder when 14120069 is divided by 54?
41
What is the remainder when 1564488 is divided by 1210?
1168
What is the remainder when 7930301 is divided by 4152?
4133
Calculate the remainder when 2019945 is divided by 446.
11
What is the remainder when 8052050 is divided by 123?
101
What is the remainder when 17963127 is divided by 1995889?
126
What is the remainder when 16331502 is divided by 67765?
137
What is the remainder when 141284 is divided by 32897?
9696
Calculate the remainder when 663116 is divided by 20719.
108
Calculate the remainder when 8456 is divided by 4727.
3729
What is the remainder when 63609 is divided by 786?
729
What is the remainder when 21874267 is divided by 389?
19
What is the remainder when 8863461 is divided b
|
{
"pile_set_name": "DM Mathematics"
}
|
value in 3, 13/35, -4/5?
13/35
Which is the second biggest value? (a) 0.5 (b) 2/7 (c) -6 (d) -47 (e) 2
a
Which is the fourth biggest value? (a) -175 (b) 3 (c) -1 (d) -0.2
a
Which is the second biggest value? (a) -2312 (b) -0.03 (c) -2/3
c
What is the biggest value in 15, 46, -5, 3?
46
What is the biggest value in 2, 1/4, 1, 11/2?
11/2
Which is the biggest value? (a) 0 (b) 500 (c) 5
b
Which is the third biggest value? (a) -4 (b) -27 (c) 4 (d) -2 (e) 4/7
d
Which is the third smallest value? (a) 2 (b) -5 (c) 391
c
Which is the third biggest value? (a) 3 (b) 20 (c) -1
c
What is the third smallest value in -0.2, -0.02, 2/1141, 0.2, 1/6?
2/1141
What is the second smallest value in 2, 1/4, -0.187?
1/4
Which is the second biggest value? (a) 2 (b) -2 (c) -5 (d) 62
a
What is the third smallest value in 0, 0.7, 3/5, -2, 18.3?
3/5
Which is the second smallest value? (a) -8 (b) 2/5 (c) -1/4
c
Which is the second biggest value? (a) 3/10 (b) -23 (c) -0.3 (d) 2 (e) -8
a
What is the third smallest value in -0.06, -3/4, -3?
-0.06
Which is the third smallest value? (a) 1/3 (b) -1/18 (c) -2 (d) 0.1
d
Which is the second smallest value? (a) -3 (b) -0.2 (c) -203
a
What is the biggest value in 9, 2/11, -2?
9
Which is the second biggest value? (a) -2 (b) 0.4 (c) 11/3 (d) 3/13
b
What is the second biggest value in -3, 34, -7.8, 1/8?
1/8
What is the second biggest value in -0.09, 12, -0.4?
-0.09
What is the smallest value in -5, -3, 4, -8, 2/5?
-8
Which is the third smallest value? (a) 10 (b) 1 (c) 2 (d) -3
c
Which is the biggest value? (a) -1/3 (b) -3/2 (c) -3 (d) -62
a
What is the biggest value in 0.5, 48/7, 0?
48/7
What is the third biggest value in -77, 1/6, -0.1, 2, 0.2?
1/6
Which is the third biggest value? (a) 1/3 (b) 97 (c) 0.5
a
Which is the biggest value? (a) -4/13 (b) -0.1 (c) 4 (d) -1
c
What is the second biggest value in -2, -0.23, 3/2?
-0.23
What is the third biggest value in -1/7, 2.26, 1/2?
-1/7
Which is the third smallest value? (a) -11 (b) 0.001 (c) -4 (d) -5 (e) 4
c
Which is the fourth smallest value? (a) 1 (b) -3/5 (c) 2 (d) -2366
c
Which is the second smallest value? (a) -3 (b) -7 (c) 6 (d) -0.3 (e) 0
a
Which is the fifth biggest value? (a) 6 (b) 4/7 (c) 1/3 (d) -0.11 (e) 2
d
What is the fourth biggest value in 1, -0.17, -4, 0.1, 0?
-0.17
What is the biggest value in -118, -1/6, 5/4?
5/4
Which is the second smallest value? (a) -2/7 (b) -0.2 (c) -8 (d) -0.5 (e) 9
d
Which is the smallest value? (a) -0.5 (b) 2 (c) 1 (d) 2/7 (e) 205
a
Which is the third smallest value? (a) -0.02 (b) 3 (c) -13
b
Which is the third biggest value? (a) 24 (b) 22 (c) 0 (d) -2
c
Which is the fourth smallest value? (a) 11/9 (b) -2 (c) -3 (d) 1
a
Which is the fourth biggest value? (a) -4/3 (b) 0.5 (c) 3 (d) 47
a
Which is the second smallest value? (a) 5 (b) 1/3 (c) -4/7 (d) -3 (e) 1/81
c
Which is the fourth biggest value? (a) -0.14 (b) -19 (c) 1/4 (d) 0.05
b
What is the fourth biggest value in -101/3, -0.5, 0.4, 2/11?
-101/3
Which is the third biggest value? (a) 0.01 (b) 2 (c) -0.2
c
Which is the biggest value? (a) 27/5 (b) -54 (c) 2/9 (d) -1/4
a
What is the second biggest value in 0.3, -8, 1/4, -4, 0.26?
0.26
What is the third biggest value in -25/8, -2, 1?
-25/8
What is the second biggest value in -0.2, -25, -6, -0.3?
-0.3
Which is the third smallest value? (a) -0.3 (b) 242 (c) 3 (d) -4
c
Which is the second biggest value? (a) 1/5 (b) -2/9 (c) 1/21 (d) -2 (e) -1/10
c
Which is the smallest value? (a) 1/6 (b) 0 (c) 2/45
b
What is the second smallest value in 3, -40/9, 3/4, -1/3?
-1/3
What is the second biggest value in -53, -12, -0.4?
-12
What is the second biggest value in -2, -2/7, 2/13, -1?
-2/7
Which is the third biggest value? (a) 0 (b) 219/2 (c) 1/2 (d) -2
a
Which is the smallest value? (a) -1/7 (b) 1 (c) 10
a
Which is the second smallest value? (a) 2/5 (b) 0.1 (c) -0.029 (d) 3
b
What is the fifth biggest value in -2/3, 4, 0.4, 1/4, -0.1?
-2/3
What is the third biggest value in 15, 37, -1/2?
-1/2
What is the third smallest value in -1/4, -3, 0.15?
0.15
What is the fourth biggest value in -0.5, 5, 1/2, -4, -6?
-4
What is the smallest value in 0.2, -2/5, 2/5, 3?
-2/5
What is the biggest value in 2, -864, -5?
2
What is the smallest value in -0.1, -1/5, 1/5, 1, 17?
-1/5
What is the smallest value in 0.2, 14/13, 2, -8?
-8
Which is the biggest value? (a) 0.3 (b) -1/5 (c) -5
a
Which is the fourth smallest value? (a) -0.4 (b) -1/4 (c) -3 (d) -40/21 (e) -2/3
a
What is the smallest value in -19, 9, -6?
-19
What is the smallest value in -2, 0, 3.8, 0.4?
-2
What is the second smallest value in 1/2, 1/10, -5/6, -0.5?
-0.5
What is the second smallest value in -18/7, 1/6, 6?
1/6
Which is the third smallest value? (a) 3 (b) 0.1 (c) -1/4
a
What is the biggest value in 3/7, 1, 3, 6/25?
3
Which is the second smallest value? (a) 2/19 (b) 4 (c) -0.2 (d) 2 (e) 185
a
What is the third biggest value in 2/9, 1/4, -0.2, 1/7?
1/7
What is the biggest value in -0.1, 2/3, 0.04, -3/7?
2/3
Which is the fourth smallest value? (a) 2.1 (b) 8 (c) 3 (d) 1/5
b
What is the fourth smallest value in -1/21, -2, 3, 3/5?
3
What is the second smallest value in 27/67, -3, -0.3, 2/3?
-0.3
Which is the second biggest value? (a) -1/729 (b) -5/4 (c) 4
a
What is the third smallest value in -23, -5/2, -1/8?
-1/8
Which is the third smallest value? (a) -2 (b) 0.5 (c) 0 (d) -1
c
Which is the second smallest value? (a) -0.4 (b) -18 (c) -98/3
b
Which is the second biggest value? (a) -21 (b) -0.002 (c) 3
b
Which is the second biggest value? (a) -4/7 (b) -2/9 (c) 1/6 (d) -4
b
Which is the biggest value? (a) 1/6 (b) -2 (c) 2
c
What is the third smallest value in -6/11, -0.5, 1/2, -38?
-0.5
Which is the biggest value? (a) 0.4 (b) 3 (c) -18/5
b
Which is the smallest value? (a) 0.5 (b) -10 (c) -0.1 (d) 3/5
b
What is the second smallest value in -4, -2/7, 129.8, 0, 3?
-2/7
What is the fourth smallest value in 1/4, 2, 7, 1/2?
7
What is the fourth smallest value in 0.2, 1/10, -1/3, 2/33?
0.2
Which is the smallest value? (a) -4/3 (b) 0 (c) 133 (d) -1/11
a
Which is the smallest value? (a) -0.3 (b) 2 (c) -90
c
What is the second biggest value in -0.2, -10, -3, 3?
-0.2
What is the third biggest value in 13/2, 0.3, 0?
0
What is the second smallest value in 3/8, -1, 1, -3, -2/9?
-1
Which is the fourth smallest value? (a) -3 (b) 31 (c) 4/7 (d) -0.03
b
What is the smallest value in -3/5, 9, 4/11?
-3/5
What is the third biggest value in 3.4, 3/2, -1?
-1
What is the second smallest value in 5, -13, -0.04?
-0.04
Which is the second smallest value? (a) -2/11 (b) -5.7 (c) 2/9 (d) 5 (e) 0.01
a
Which is the biggest value? (a) -5 (b) -3/5 (c) -0.1
c
Which is the second biggest value? (a) -611 (b) -2/3 (c) -0.5 (d) 4 (e) 2
e
Which is the smallest value? (a) 3 (b) 5 (c) 1 (d) -4/7
d
Which is the fourth biggest value? (a) 5/3 (b) -70 (c) 29 (d) -3/2 (e) -0.1
d
What is the second smallest value in -2/3, 0.121, -170?
-2/3
Which is the fourth biggest value? (a) 11 (b) -3 (c) 1/4 (d) -4
d
Which is the third biggest value? (a) 15 (b) -1/2 (c) 4
b
What is the third biggest value in 0, -1/6, 1, 16?
0
What is the second biggest value in 7, 2/7, 4/3?
4/3
What is the second biggest value in -0.2, -0.086, 45?
-0.086
Which is the smallest value? (a) 498 (b) 5 (c) -0.3
c
What is the third smallest value in 18, -3/4, 12?
18
What is the third biggest value in 1/38, -2/5, 0.12?
-2/5
What is the third smallest value in 2/7, 0.4, -0.4, -117?
2/7
Which is the smallest value? (a) -4.2 (b) 1 (c) 22
a
What is the second smallest value in 0, 0.06, -2/13, -1.9?
-2/13
What is the second biggest value in -0.9, -6, 2/13?
-0.9
Which is the second biggest value? (a) -9 (b) -20 (c) -0.5
a
What is the fourth smallest value in 3, 4, 2/9, -0.037?
4
What is the fourth biggest value in 100/3, 2, 0.1, -5?
-5
What is the third smallest value in -0.1, -4, 393/5, -0.2?
-0.1
What is the smallest value in 68, -1/2, -4?
-4
What is the second biggest value in 2/13, -5, 0.4?
2/13
Which is the biggest value? (a) 0 (b) -1/3 (c) 2 (d) 16
d
What is the s
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(162)) - (-1 + sqrt(153)*-2))*-1.
-55*sqrt(17)/9 - 1
Simplify (4 + (6*(sqrt(1700) - sqrt(1700)*2) - (5*(sqrt(1700)*2 - sqrt(1700)) - sqrt(1700))) + 2 + -2)**2.
-800*sqrt(17) + 170016
Simplify (4 + 5*-5*(2 + sqrt(175) + sqrt(175))*-5)**2.
635000*sqrt(7) + 11002016
Simplify (2*(sqrt(175) - sqrt(175)*-1 - sqrt(175)) + -5 + 2)**2.
-60*sqrt(7) + 709
Simplify 0 + -2 + (-4*((1*sqrt(98) - sqrt(98)) + sqrt(98) + sqrt(98)))**2.
6270
Simplify 3*(6*(3*sqrt(95) + sqrt(95)) - sqrt(95))/(sqrt(20) - sqrt(60)/sqrt(3) - sqrt(20)).
-69*sqrt(19)/2
Simplify ((-5 + 2 + sqrt(1539) - sqrt(1539)) + sqrt(1539) - sqrt(1539))**2 - (3 + (-5 + 1*sqrt(19))**2).
-38 + 10*sqrt(19)
Simplify (-3*((sqrt(495) + sqrt(495)*2)/sqrt(9) + sqrt(55)))/(sqrt(44)/(sqrt(40)/(3*sqrt(10)) + sqrt(4) - sqrt(4))).
-4*sqrt(5)
Simplify 4 + (sqrt(13) + sqrt(117))**2 + -3 + -2 - ((sqrt(13) + 4 + 3*sqrt(13))**2 - (sqrt(65)/sqrt(5) + -1)).
-31*sqrt(13) - 18
Simplify (2 + 3 + sqrt(833) - (-2*sqrt(833)*-5)**2) + 0.
-83295 + 7*sqrt(17)
Simplify ((sqrt(24) - sqrt(1176))*2)/((sqrt(144)/sqrt(3))/sqrt(4)).
-12*sqrt(2)
Simplify (5 + -2 + sqrt(13) + -2)**2 + 4*(sqrt(13) + 0)**2 + sqrt(1053) + 1.
11*sqrt(13) + 67
Simplify (5*(-4 + -1 + sqrt(52) - sqrt(26)/((sqrt(16) + sqrt(64))/sqrt(8))))**2.
-1250*sqrt(13)/3 + 13750/9
Simplify (-4*(3 + sqrt(320)*4))**2*-5.
-410320 - 15360*sqrt(5)
Simplify (sqrt(240)*-5*5)/(1*sqrt(363)*2).
-50*sqrt(5)/11
Simplify -2 + (2*sqrt(1900) + 0 - ((sqrt(1900) - 1*sqrt(1900)) + -5)**2).
-27 + 20*sqrt(19)
Simplify ((4 + (sqrt(1088) + 2 - sqrt(1088)))**2 - (sqrt(204)/(sqrt(36)/sqrt(3)))**2*-6)*4.
552
Simplify (2 + (sqrt(17)*-3*-1 - sqrt(17) - (sqrt(153) + -3)))**2*4.
-40*sqrt(17) + 168
Simplify (0 + -3*sqrt(13))*6 - (sqrt(1300) + sqrt(1300) + -1)*4.
-98*sqrt(13) + 4
Simplify (-5 + ((1 + sqrt(432))*6 - (2*sqrt(432)*6 + sqrt(432))) + -3)**2.
336*sqrt(3) + 21172
Simplify ((sqrt(896)*3)/(sqrt(242)*2))**2.
1008/121
Simplify (5*-2*(sqrt(900) - sqrt(36)))/(sqrt(96)/((sqrt(2744) + sqrt(56))/sqrt(7))).
-320*sqrt(3)
Simplify ((sqrt(91) + -3*sqrt(91) + sqrt(91))/sqrt(7) - (1 + sqrt(325))) + 2.
-6*sqrt(13) + 1
Simplify -5*((4*(sqrt(5)*-5 - sqrt(5) - sqrt(5)) + -5*(sqrt(5) + -1 - sqrt(5)))*4)**2.
-315600 + 22400*sqrt(5)
Simplify -6*(4*(sqrt(98) - -4*sqrt(98)))**2 + -1.
-235201
Simplify -1 + sqrt(28)*1 + (3 + 0 + sqrt(252))**2.
38*sqrt(7) + 260
Simplify (-3 + -5*sqrt(63) + sqrt(63))*1*-4.
12 + 48*sqrt(7)
Simplify 2*sqrt(162)*1 + -3 - (-2 + (sqrt(162) - (4 + sqrt(162)*4)**2)).
297*sqrt(2) + 2607
Simplify ((2 + sqrt(200))*4 - sqrt(200))**2 - sqrt(72)*-1*-6.
444*sqrt(2) + 1864
Simplify (sqrt(209)/(sqrt(891) + (sqrt(891)*1 - sqrt(891))) + ((-2*sqrt(171) + sqrt(171))*-1)/sqrt(9))**2.
1900/81
Simplify ((sqrt(51) - 2*sqrt(102)/sqrt(2))*1)/(3*sqrt(48)*-4).
sqrt(17)/48
Simplify (-1*-3*(-1*sqrt(14) + sqrt(14)))/(sqrt(126)/sqrt(2) - (sqrt(7) + sqrt(7)*1)*2).
0
Simplify ((sqrt(110) - (sqrt(110) + sqrt(110)*-1))/sqrt(2))/(sqrt(405) + 2*sqrt(405)).
sqrt(11)/27
Simplify (0 + 4 + (sqrt(363) + (sqrt(363) - (3*sqrt(363) + -5) - sqrt(363)))**2)*1.
-220*sqrt(3) + 1481
Simplify -4 + (1*((sqrt(27) - (sqrt(27)*3 - sqrt(27))) + (sqrt(3) + 5*sqrt(3)*3 + sqrt(3) - sqrt(3))))**2.
503
Simplify (-1*sqrt(119)*-2 + sqrt(119) + -4*(sqrt(119)*-2 + sqrt(119) - sqrt(119)))/(3*sqrt(448)*-1).
-11*sqrt(17)/24
Simplify ((sqrt(160) - sqrt(40))/sqrt(2) - (sqrt(180) - (sqrt(180) - 1*sqrt(180) - sqrt(180))))/((-4*sqrt(100)*1 + sqrt(100))/sqrt(10)).
5*sqrt(2)/3
Simplify (-5*((sqrt(2057) - (sqrt(2057) + 0 + -4) - sqrt(2057)) + sqrt(2057) + 2 + 5))**2.
3025
Simplify (-2*(sqrt(104) - (sqrt(104)*-2 - sqrt(104))) - sqrt(104))/(sqrt(24)/(sqrt(9)/sqrt(3))) + (sqrt(1300) + 0 + -4 + (sqrt(1300) - -4*2*sqrt(1300)))**2.
-809*sqrt(13) + 130016
Simplify 5*((-6*sqrt(147)*2 - (-4 + (sqrt(147) + -1 - sqrt(147)) + sqrt(147))) + 2)**2.
-6370*sqrt(3) + 124460
Simplify -2 + 2*-5*(-1 + (sqrt(1900) - 3*sqrt(1900))**2*-5).
380008
Simplify 1*(-6*sqrt(40)/sqrt(8)*-5 - 2*(sqrt(300)/sqrt(6))/sqrt(10)).
28*sqrt(5)
Simplify 4*(-5*sqrt(416)/(sqrt(96)/sqrt(3))*5)**2.
32500
Simplify (-3*sqrt(162) + (sqrt(16)/sqrt(8) + -5)**2)*-2.
-54 + 74*sqrt(2)
Simplify ((sqrt(50) + -4 - (-5 + sqrt(2)*1 + sqrt(2))) + 1 + (sqrt(8) - (-1 + sqrt(8)*-2)))**2.
54*sqrt(2) + 171
Simplify (4*sqrt(147) + 4 + sqrt(12)/sqrt(4))**2*-6.
-15234 - 1392*sqrt(3)
Simplify (((sqrt(176) + sqrt(44))*-1)/((sqrt(4) + sqrt(100))*-1) + 0 + 5)**2.
5*sqrt(11) + 111/4
Simplify ((sqrt(65) - (sqrt(65) - 1*sqrt(65)) - sqrt(65))*-6)/((sqrt(10)*-2)/sqrt(2)).
0
Simplify 2*((2*sqrt(375)*-5 - sqrt(375)) + sqrt(375))/(sqrt(605) - (sqrt(605) - 1*sqrt(605))*-3).
-100*sqrt(3)/11
Simplify (sqrt(1715) + (-2*sqrt(1715) - sqrt(1715)) - (sqrt(35) + -3*sqrt(105)/sqrt(3)))/((sqrt(189)/sqrt(48))/sqrt(9)).
-48*sqrt(5)
Simplify -5 + ((sqrt(1053)*3)**2 - (2*sqrt(1053) + sqrt(1053))**2)*5.
-5
Simplify (5*sqrt(20)/sqrt(5))/sqrt(2) + (sqrt(10)/sqrt(5)*-1 - -1*sqrt(12)/sqrt(6))**2.
5*sqrt(2)
Simplify (2*5*sqrt(56)*-1)/(-5*(sqrt(200) - ((sqrt(200) - sqrt(200)*3) + sqrt(200)))).
sqrt(7)/5
Simplify ((sqrt(190) - (sqrt(190) + (sqrt(190) + (sqrt(190) - sqrt(190)*3))*2) - sqrt(190))/sqrt(5))/(sqrt(24)/(6*(sqrt(12) + sqrt(768)))).
54*sqrt(19)
Simplify 4*-2*sqrt(720) + -1 - (sqrt(120)*-2)/((sqrt(486) - -1*sqrt(486)) + sqrt(6)).
-1820*sqrt(5)/19 - 1
Simplify -6*(-6*sqrt(39)/sqrt(48))**2 - 5*sqrt(91)/(sqrt(567) + sqrt(567)*1).
-351/2 - 5*sqrt(13)/18
Simplify (4 + ((sqrt(110)*2)/sqrt(10) - (sqrt(275) + 2)) + -3 + 4 + sqrt(396))**2.
18*sqrt(11) + 108
Simplify ((-2*sqrt(420))/sqrt(10) + -5*sqrt(210)/sqrt(5))/((sqrt(294)*-2 + sqrt(294) - sqrt(294)) + sqrt(150) + 1*sqrt(150)).
7*sqrt(7)/4
Simplify 1*((sqrt(1300) + sqrt(1300) + 1)**2 + (sqrt(78)/(sqrt(6) + sqrt(42)/sqrt(7)))**2) + -3.
40*sqrt(13) + 20805/4
Simplify (((1 + sqrt(80))*4 - sqrt(80)) + -2*sqrt(720)*6)**2 + -4.
-1056*sqrt(5) + 87132
Simplify (-3*(-2*(2 + sqrt(320)) + sqrt(320) + sqrt(320)*-1*-4))**2.
-1728*sqrt(5) + 26064
Simplify -1*(-5 + sqrt(36)/sqrt(3) + sqrt(72)/(sqrt(294) + sqrt(6)))*-1.
-5 + 9*sqrt(3)/4
Simplify (-6*sqrt(847)*1 - sqrt(847) - (sqrt(847)*1 + sqrt(847))*-1)**2 + (-4 + (sqrt(847) - (sqrt(847)*-2 + 2)))**2.
-396*sqrt(7) + 28834
Simplify ((-2*sqrt(350) + 1*sqrt(1400) + sqrt(14))/(3*(sqrt(128) - (sqrt(128)*1 + sqrt(128) + sqrt(128) - sqrt(128))) + sqrt(128)))**2.
7/256
Simplify ((sqrt(156) - (-4*(sqrt(156) + sqrt(156) + sqrt(156) + 1*sqrt(156) + sqrt(156)) + sqrt(156) + sqrt(156)))*-1)/(-2*sqrt(1200)*-6) + -1.
-1 - 19*sqrt(13)/120
Simplify -3 + ((sqrt(832)*-2 + -2 - sqrt(832)) + (sqrt(1573) - (-1 + sqrt(1573))*3))**2 + 5.
-92*sqrt(13) + 27511
Simplify ((-4*2*sqrt(2448))**2 - sqrt(2448))*6 + 0.
-72*sqrt(17) + 940032
Simplify (5*1*sqrt(27) + 2 - (sqrt(135) + (sqrt(135) - -1*sqrt(135)*-3))/sqrt(5))**2.
72*sqrt(3) + 976
Simplify (4 + -1 + sqrt(2057) - (-1*(sqrt(17) + sqrt(17)*-1) + 4))**2.
-22*sqrt(17) + 2058
Simplify (sqrt(1440)*2*-3)/(sqrt(55)/(sqrt(132)/(-2*sqrt(12)))).
36*sqrt(2)
Simplify (sqrt(60) + sqrt(240)*-4 + sqrt(60) + sqrt(60))/(1*((sqrt(24)/sqrt(2) - sqrt(12)) + sqrt(12))).
-5*sqrt(5)
Simplify (sqrt(3388)*-1)/sqrt(4) + ((-2 + sqrt(700))*-5)**2 + -2.
-1011*sqrt(7) + 17598
Simplify (-4*(3*sqrt(19))**2 + -1 + 5)*-3.
2040
Simplify ((sqrt(110) - (sqrt(110)*2 - sqrt(110)))*2 + ((sqrt(110) - -2*sqrt(110)) + sqrt(110) + sqrt(110))*5)/(sqrt(100)/(sqrt(110)/(sqrt(22)/sqrt(2)))).
25*sqrt(11)
Simplify (-3 + -4*(1 + sqrt(51)/sqrt(3) + (0 + sqrt(1088) + sqrt(1088) + sqrt(1088) - sqrt(1088))))**2.
952*sqrt(17) + 78657
Simplify (((sqrt(272) - 1*sqrt(272))*-6 - (sqrt(272) - (sqrt(272) + 3*(2 + sqrt(272))))) + 2)**2.
192*sqrt(17) + 2512
Simplify (1*(sqrt(475) + 2 + sqrt(475)))**2*-5*-3*5.
3000*sqrt(19) + 142800
Simplify (sqrt(7) - (sqrt(7) + (sqrt(252)/sqrt(4))/sqrt(9))) + (sqrt(56) - sqrt(224)/sqrt(4))/sqrt(8) - -1*(sqrt(112) + 1).
1 + 3*sqrt(7)
Simplify (-6*(sqrt(80) - -3*(-2 + sqrt(80)) - (sqrt(320) + -1)*6)*3)**2.
1658880
Simplify (sqrt(525) - sqrt(21))/sqrt(3) + sqrt(28)*1 - (sqrt(231)/(sqrt(77)/sqrt(7)))/sqrt(3).
5*sqrt(7)
Simplify 5 + 0 + ((sqrt(102) + sqrt(102)*-2)*-1)/(sqrt(294) - (sqrt(294) - (sqrt(294) - (sqrt(294) + (sqrt(294) - sqrt(294)*2))))).
sqrt(17)/7 + 5
Simplify ((sqrt(11) - sqrt(539)*1 - sqrt(11)) + 1 - (-2 + sqrt(1584) + 3))**2.
3971
Simplify 3*(sqrt(200) + sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
h, -3*h + 15 = 3*k. What is the common denominator of k + 146/15 + (-14 - -9) and 67/(-12) - (-1)/(-1)?
60
Suppose r - 5*y = -y + 288, -r - 5*y = -342. Calculate the least common multiple of 24 and r.
312
Let o = -2678080 + 5913200521/2208. What is the common denominator of 137/96 and o?
2208
Suppose u - 8 = -4*f - 19, -5*f - 15 = u. Calculate the common denominator of 89/66 and 3 + f/52*(-404)/(-24).
858
Let a = -1153691/360 - -16028/5. Find the common denominator of a and 119/162.
648
Let u(w) = -w**3 - 9*w**2 + 32*w - 36. Calculate the least common multiple of 14 and u(-13).
224
Let u = -119118/7 + 17064. Let i = 47 - u. What is the common denominator of -107/176 and i?
1232
Let u(o) = 92*o**2 - 37*o + 21. What is the lowest common multiple of u(2) and 225?
1575
Calculate the common denominator of 7/9654 and (-97)/6 - (-84 + 64).
9654
Let n = -15008 + 15104. What is the lowest common multiple of n and 768?
768
Suppose 7*q - 12*q = -35. Suppose r = -p + 6*p - 3356, 2*p - 9*r = 1265. What is the smallest common multiple of p and q?
4711
Suppose -42*v + 43*v = m - 1242, -4*m + 2*v + 4960 = 0. What is the lowest common multiple of 10 and m?
6190
Suppose -4*o + o - 3*l - 264 = 0, 3*o - 3*l + 294 = 0. Let u = -44027/57187 + -4/1079. Find the common denominator of (o/30)/((-3)/(-6)) and u.
265
Suppose 5*m = -5*y + 560, -177*y + 178*y - 4 = 0. What is the smallest common multiple of 792 and m?
2376
Suppose -10*w = 1 + 69. Let b be w*((-10 - -4) + 1). Find the common denominator of -27/7 and -3 - (1 - (-65)/b).
7
Let d = 36 + -45. Let m(t) = 5*t + 4. Calculate the smallest common multiple of m(7) and (6/d)/((-3)/108).
312
Let s = -947/4 - -240. Find the common denominator of (-14)/3*(-3672)/5984 and s.
44
Suppose 210*l = 820 + 1280. Let c(g) = -g**3 - g**2 - g + 20. What is the least common multiple of l and c(0)?
20
Let p be (-90534)/460410*(-4 - -3)*2. Let h = p - 76/745. Find the common denominator of (1 - (-22)/9) + -4 and h.
927
Let y = -6634087/171 + 38796. Calculate the common denominator of y and -59/3.
171
Find the common denominator of ((-48)/(-138))/(-4) - (-40599)/235980 and -23/2280.
2280
Suppose -253 = -8*g + 83. Suppose 2*j + 44 = 3*x, 0 = -2*x - 7*j + 2*j + g. Calculate the least common multiple of x and 4.
16
Let x(g) = g**3 + 9*g**2 + 9*g - 40. Let j be x(-7). Find the common denominator of j + (3173/420 - 8/14) and -3/20.
60
Calculate the common denominator of -17/22 and 2*(-10214)/5056 - (-28)/7.
13904
Suppose 54 = -5*t + 4*v, -35*t + 2*v = -37*t. What is the common denominator of t and 97/86?
86
Calculate the common denominator of -149/72 and 25/((-10500)/3765) + (1 - -5).
504
Suppose -j + 281 = 3*y, -j - 20*y + 329 = -23*y. Let p(c) = c**2 + 5*c - 6. What is the lowest common multiple of j and p(-7)?
2440
Let q = 1698 - 1044. Let f = q + -511. Calculate the lowest common multiple of f and 52.
572
Find the common denominator of 131/12 and (1*355/(-210))/(-9 - -70 - 8).
4452
What is the common denominator of 173*(-4)/(-336) + -4 and -39/196?
588
Let b = 10470 + -136086/13. What is the common denominator of b and 20/(-22)*7/(-2)?
143
Let w = -4951763/164 - -30192. Let v = w + -3/41. Let m = 4/3 + v. What is the common denominator of m and -141/70?
420
Suppose b = -s + 555, -31*s - 565 = -b - 30*s. What is the least common multiple of b and 168?
1680
Let g = -5375 - -4905. Let h be (30/(-4))/((-4)/(-251)). Let s = g - h. What is the common denominator of -9/14 and s?
56
Let c(r) = 18*r + 52. Let v be c(-12). Let u = 110 + v. Calculate the common denominator of -4 - (1 + -2) - 318/u and -71/8.
72
Let a be 11/(-66) + 481/6. Let h = a + -71. Suppose z - 20 = -h*z. What is the least common multiple of z and 13?
26
Let p = 2/28911010075 + 2452492073582917/1001159367887175. Let x = p + 9/3298. Find the common denominator of x and -3 + 51/(-8)*1.
168
Suppose -9*c + 34 = -38. Let f be 3/(-2) - 4/c. Find the common denominator of 53/2 and f/(-75)*2350/(-120).
90
Let h(c) = -2*c - 29. Let f be h(-12). What is the common denominator of -74/57 and f/1 + 595/60?
228
Suppose -2*o + 4*z = -7 - 23, 5*o - 3*z - 68 = 0. Suppose 4*q = -o*q + 748. What is the smallest common multiple of 28 and q?
308
Let g = 22/57 - -1327/57. What is the common denominator of (-4)/(-2) - 2007/858 and g?
858
Let l(u) = 2*u**2 + 83*u - 1189. Calculate the lowest common multiple of 146 and l(-53).
2190
Let r be (-8542562)/4614060 - 4/22. Let a = 2/20973 - r. Find the common denominator of a and -103/24.
120
Let i be (-1 + 5)*796/(-5). Let m = i - -646. Let f = -99/7 - -682/21. What is the common denominator of m and f?
15
Let s = 30068 + -120359/4. Let g = -12729/5152 + -50/161. Calculate the common denominator of s and g.
32
Let x = -1172 + 172315/147. Find the common denominator of 65/56 and x.
1176
Let b = 3490 + -2542. Calculate the lowest common multiple of b and 24.
1896
Let m be (-108)/(-8)*102/(-9). Calculate the common denominator of m/66 + (-3)/(-4) and 11/8 + 43/(-86).
88
Let m = 4038 + -3975. What is the smallest common multiple of m and 210?
630
Suppose 263 = 119*i - 927. What is the smallest common multiple of i and 565?
1130
Calculate the lowest common multiple of 2314/65 + -17 + (-6)/10 and 75.
450
Suppose 2*o - 11 = -4*k + 37, 56 = 2*o + 2*k. Let l = -48678 - -778777/16. What is the common denominator of l and (-4)/4 + 22/o?
16
Let r be -2 + (-12)/(-30) + (-2)/5. Calculate the smallest common multiple of 1 and 630/77 + -2 + r/11.
6
Let u = 52345/6 - 8727. Calculate the common denominator of (6/195)/((-24)/(-305)) and u.
156
Let h be 2/6 + (-88)/66. Find the common denominator of 179/120 and 2152/576 - (h + 5).
360
Calculate the common denominator of 26923/(-120336) + (-2 - (-75)/36) and -53/352.
24288
Calculate the common denominator of -1*7 + 38780/5250 and (-158)/18 - (-13 + 10).
225
Suppose 0 = 45*p - 41*p - 12. Suppose -86 = -5*h - 4*x, 8*h - 96 = p*h + 6*x. What is the lowest common multiple of h and 81?
162
Let o = 5102/3 - 1689. What is the common denominator of o and -4/57?
57
What is the common denominator of 4/1189 and (-9)/(-2)*10336/4104?
3567
Calculate the smallest common multiple of 840 and 85 + 0 - 1118/86.
2520
Let h be 45300/96 - 5/(-40). Suppose -h = -4*z - 3*t, 660 = 5*z - 3*t + 70. Calculate the least common multiple of z and 10.
590
Calculate the common denominator of (16/(-88) - 2174/(-704))*34/(-306) and -26/309.
9888
Suppose r - 81 = -24. Let k = r + -47. Suppose -53 = -5*y + 47. What is the least common multiple of y and k?
20
Suppose -175*j - 1000 = -180*j. Let s = 232 - j. What is the least common multiple of s and 4?
32
Let s(q) = -3*q + 6. Let j be s(-4). Let p = 3 - j. Calculate the common denominator of p/24*62/(-5) and -29/4.
4
Suppose 0 = 2*d - 10, -138 = -0*c + c - d. Let n = c + 369. What is the least common multiple of n and 10?
1180
Let v = -1469 + 16172/11. Let i = -8975575092436/8415 - -1066616171. Let k = i + -4/765. Calculate the common denominator of v and k.
33
Suppose -53*i - 158 - 160 = 0. What is the common denominator of -29/69 and 8 - i/(-648)*1006?
1242
Suppose -85 = -5*h - 5*u, -u = 3*h - 14 - 27. Calculate the least common multiple of h and 2/(-4) + 177/6 - -3.
96
Find the common denominator of 95/1318 and (-262)/8*(-4)/(-12).
7908
What is the common denominator of -25/272 and ((-646)/(-57))/(1 - 19/(-3))?
2992
Let m = 4742 - 4382. What is the lowest common multiple of 480 and m?
1440
Let h be -1*(26 - 0) + -2. Let r be (51580/h)/(16578/(-21)). Let n = r + 17/307. What is the common denominator of n and 109/22?
198
Suppose -9*j - 259 + 61 = 0. Let t = j - -25. Calculate the smallest common multiple of t and 50.
150
Let t(d) = d**2 - 13*d + 16. Let g(b) = 37*b + 4. Calculate the smallest common multiple of t(12) and g(0).
4
Let j = 84443/105 + -10469/14. Let s = -363/5 + j. Find the common denominator of -133/18 and s.
18
Find the common denominator of 119/6 and 4/(-6)*(-9 - 0) + 4923405/(-813630).
4398
What is the common denominator of 11/12 and (4/13984)/((-156)/(-104))?
5244
Let s = -2352 + 529199/225. Find the common denominator of -53/123 and s.
9225
Let z = 9713/15360 - -1/1024. Let u be (3 + (0 - -3))*(-1)/3. Calculate the common denominator of (-11)/10*u - 48/(-72) and z.
30
Let c = -175/11 -
|
{
"pile_set_name": "DM Mathematics"
}
|
24. Let p(v) = 12*v + 10. Let z(t) = 5*g(t) + 12*p(t). Let a(m) = -28*m**2. What is a(z(u))?
-1008*u**2
Let a(d) be the first derivative of -5*d**2/2 + 838. Let f(s) = -3*s**2. Let r(n) = n**2. Let c(b) = -f(b) - 4*r(b). Calculate a(c(g)).
5*g**2
Let n(t) = -5*t. Let m(q) = -17*q - 18. Let k(i) = 168*i + 189. Let a(v) = 6*k(v) + 63*m(v). Give n(a(p)).
315*p
Let o(q) = 20499 - 41*q - 20499. Let j(a) = a + 4. Let h(u) = -3*u - 11. Let d(w) = -4*h(w) - 11*j(w). Give d(o(c)).
-41*c
Let u(x) = -5*x**2. Let t(s) = 6*s + 2*s + 10*s - 19*s. Give t(u(b)).
5*b**2
Let z(m) = -m**2 - m - 1. Let h(d) = 2*d**2 + 3*d + 3. Let v(k) = h(k) + 3*z(k). Let s(a) = a**2 - 331. Determine s(v(i)).
i**4 - 331
Let g(l) = -601*l**2 - 2*l - 2. Let t(z) = 8*z**2. Calculate g(t(p)).
-38464*p**4 - 16*p**2 - 2
Let a(p) = -4*p. Suppose -9 + 6 = h. Let y(g) = 4*g + 3. Let s(n) = -4*n - 4. Let q(v) = h*s(v) - 4*y(v). Give q(a(f)).
16*f
Let m(x) = -21*x**2 + 4*x. Let f(j) = 1. Let q(o) = -o - 5. Let y(i) = -5*f(i) - q(i). Let n(r) = -m(r) + 4*y(r). Let k(l) = 3*l. Give n(k(a)).
189*a**2
Let k(n) be the first derivative of -n**3 - 8. Suppose -m + 0*m = 5*s - 14, 3*m = -2*s + 29. Let o(r) = -17*r + 7*r + m*r. What is o(k(u))?
3*u**2
Let j(k) = 23*k**2. Let i(y) = -y**3 - 18*y**2 + 19*y + 2. Let o be i(-19). Let h(c) = -3*c**2 - c**2 + 6*c**o - 4*c**2. Give h(j(m)).
-1058*m**4
Let j(y) = -4*y. Suppose -16 = -z - 3*a, 5*a + 16 = 5*z + 4*a. Let c(b) = 2*b**2. Let w(v) = 4*v**2. Let i(l) = z*c(l) - 3*w(l). Give i(j(p)).
-64*p**2
Let d(j) = 23*j**2 - 1. Let t(g) be the first derivative of 10*g**3/3 - 867. Calculate d(t(m)).
2300*m**4 - 1
Let n(a) = 3*a**2 - 793*a + 793*a - a**2. Let x(q) = -q**3 - 9*q**2 - 8*q + 6. Let t be x(-8). Let o(c) = t - 28*c - 6 + 5*c. Give o(n(u)).
-46*u**2
Let t(s) = -2*s + 3. Let l(y) = -3*y + 5. Let r(m) = -6*l(m) + 10*t(m). Let h(o) = -18*o**2 + 2 + 22*o**2 - 45*o**2. Calculate h(r(i)).
-164*i**2 + 2
Let f(t) = -430*t. Let g(l) = 63*l**2 - 4*l. What is g(f(n))?
11648700*n**2 + 1720*n
Let o(w) = w**2. Let n(a) = -56771*a. Determine n(o(i)).
-56771*i**2
Let b(t) = 10*t**2. Let r(n) be the first derivative of -4*n**3/3 + 124. What is b(r(i))?
160*i**4
Let p(v) = -2844483*v. Let j(r) = -r**2. Calculate j(p(d)).
-8091083537289*d**2
Let i(x) = 7*x - 4307. Let l(z) = -z. Calculate i(l(f)).
-7*f - 4307
Let n(y) be the second derivative of 8*y**3/3 - 2*y - 584. Let j(m) = 19*m. Calculate j(n(r)).
304*r
Suppose -5*d + o - 3 = -0*o, 0 = -2*d + 3*o + 4. Let w(k) = -k - 3. Let y(n) = n + 1. Let i(s) = d*w(s) - 3*y(s). Let p(m) = 14*m**2. Give p(i(v)).
56*v**2
Let k(n) = -8*n. Let c(t) = -409775*t**2. Calculate c(k(o)).
-26225600*o**2
Let n(w) = w**2. Let v(p) = 2399464*p**2. Calculate n(v(g)).
5757427487296*g**4
Let i(g) = 5*g + 312. Let w(p) = -p + 2. Let t(b) = -i(b) - 6*w(b). Let q(c) = -2*c. What is q(t(j))?
-2*j + 648
Let t(m) = -62*m**2. Let l(g) = 14*g**2 + 273*g - 91. Let i(d) = -d**2 - 18*d + 6. Let h(u) = 91*i(u) + 6*l(u). Determine h(t(a)).
-26908*a**4
Let a(f) = 3*f**2. Let c(t) be the third derivative of -t**7/1260 + 3*t**4/4 - 20*t**2. Let x(p) be the second derivative of c(p). Give x(a(b)).
-18*b**4
Let i(l) = 10 + 3*l + 13 - 23. Let m(z) = 4*z + 1. Give i(m(r)).
12*r + 3
Let l(w) = -122*w**2. Let j(c) = -49*c. Determine j(l(d)).
5978*d**2
Let r(g) = -2*g. Let t(v) = 6*v**2 + 4. Let s(l) = l**2 + 1. Let i = -82 + 84. Let k(d) = i*s(d) - t(d). Calculate r(k(a)).
8*a**2 + 4
Let r(g) = 3*g - 18 - g + 34 - 16. Let d(h) = -449*h**2. Calculate d(r(v)).
-1796*v**2
Let n(x) = x + 1. Let v(k) = -11*k - 8. Let s(r) = 40*n(r) + 5*v(r). Let l(a) = -5*a**2. Determine l(s(u)).
-1125*u**2
Let a(m) = 2*m**2. Let n(z) be the third derivative of z**8/5040 - z**7/630 + 11*z**5/20 + 18*z**2. Let l(u) be the third derivative of n(u). Calculate l(a(b)).
16*b**4 - 16*b**2
Let q(b) = -b. Let p(k) = k**2 - k - 1. Let z(y) = 6*y**2 - 2*y - 2. Let t(s) = 4*p(s) - 2*z(s). Give q(t(v)).
8*v**2
Let x(c) = 23*c**2 - 4 + 4. Let m(n) be the first derivative of -n**2/2 + 1413. Determine x(m(d)).
23*d**2
Let w(a) = -48*a. Let f(r) = -121*r. Let t(u) = -5*u. Let n(m) = f(m) - 22*t(m). What is n(w(b))?
528*b
Let v(l) = 221*l - 446*l + 228*l + 3. Let z(n) = -n**2. Give z(v(c)).
-9*c**2 - 18*c - 9
Let k(t) = -2351 + 2351 - 338*t**2. Let f(w) = -w**2. What is f(k(v))?
-114244*v**4
Let z(n) be the first derivative of -7*n**6/360 + 26*n**3/3 - 6. Let i(y) be the third derivative of z(y). Let q(p) = 4*p. Determine q(i(k)).
-28*k**2
Let y(a) = -44*a**2 - 1. Let w(d) = 65*d + 2. Give y(w(j)).
-185900*j**2 - 11440*j - 177
Suppose -10 = -2*t + 24. Let q(k) = -23*k + 34. Let w(u) = 8*u - 12. Let v(c) = t*w(c) + 6*q(c). Let h(a) = 27*a**2. What is v(h(z))?
-54*z**2
Let o(x) = -23*x**2 + 10. Let h(r) = 3*r**2. Determine h(o(g)).
1587*g**4 - 1380*g**2 + 300
Let m(h) = h - 1. Suppose 4*b + 10 = -5*z, -4*z + 11 = -2*b - 7. Let i(o) = 24*o - 22. Let v(f) = z*i(f) - 44*m(f). Let r(x) = -3*x. Determine r(v(n)).
-12*n
Let u(o) = 3*o. Let f(l) = -4639*l**2. Calculate u(f(m)).
-13917*m**2
Let w(g) = -6*g. Let m(v) = -21*v**2 + 9*v**2 + 29*v**2. Calculate w(m(q)).
-102*q**2
Let x = -4 - -16. Let s = x + -9. Let h(a) = -s*a - 5*a + 8*a - a**2. Let u(f) = f**2. Calculate u(h(k)).
k**4
Let n(p) = -p**2 + 9*p - 16. Let c be n(6). Let i(v) = -5*v**2 + 2*v**2 - v**2 + 5*v**c. Let z(a) be the second derivative of 5*a**4/12 + a. Give i(z(j)).
25*j**4
Suppose -h - 2*y = -1975, -5*h + 2*h + 3*y + 5898 = 0. Let c(z) = -1969 + 15*z + h. Let i(k) = k**2. Calculate i(c(w)).
225*w**2
Let p(w) be the first derivative of 2*w**3 - 52. Let y(g) = -16*g**2. Calculate y(p(i)).
-576*i**4
Let r(h) = -4*h. Let n(b) be the second derivative of -137*b**4/12 - 33*b + 2. Give n(r(o)).
-2192*o**2
Let f(y) = -48*y**2. Let v(h) = -639*h**2. What is f(v(o))?
-19599408*o**4
Let n(b) = 14*b. Let u(f) = 23996*f**2. Determine u(n(l)).
4703216*l**2
Let h(x) = x + 8. Let l be h(-6). Let n(s) = -4*s + 6*s**l + 4*s + 3*s + 3*s**2. Let r(p) = -p**2. What is n(r(q))?
9*q**4 - 3*q**2
Let s be (-6)/12*-2*5. Let r(c) = 5 - 6 + 9*c**2 + 1 + 5 + 5*c. Let x(b) = 5*b**2 + 2*b + 2. Let t(u) = s*x(u) - 2*r(u). Let y(h) = -2*h**2. Calculate t(y(g)).
28*g**4
Suppose -4*n - 4 = -8*n. Suppose g = n + 3, -4*g + 20 = v. Let y(t) = 2*t**2 - t**2 - v*t**2. Let q(z) = 2*z**2. What is q(y(r))?
18*r**4
Let x(q) = -q**2. Let z(i) = 37122*i. Calculate z(x(h)).
-37122*h**2
Let r(w) = 4*w. Let x(v) = 3*v**3 - 2*v**2 - v + 2. Let u be x(1). Let p(j) = -240*j**u + 119*j**2 + 106*j**2. What is p(r(y))?
-240*y**2
Let b(a) = -201188*a**2. Let l(p) = -2*p. Give b(l(m)).
-804752*m**2
Let q(c) = -8*c**2 - 9. Let d(b) = b**2 + 1. Let t(n) = 6*d(n) + q(n). Let s(y) = 34*y + 9. Let g(k) = 30*k + 8. Let m(r) = 9*g(r) - 8*s(r). What is t(m(z))?
-8*z**2 - 3
Let c(n) = 184*n**2. Let y(l) be the third derivative of -l**5/30 - 3*l**2 + 2*l. Calculate c(y(m)).
736*m**4
Let v(q) = -5*q. Let w(z) = 6*z. Suppose -s - 2*k + 0*k = -8, -s + 5*k = -1. Let a(y) = s*w(y) + 7*v(y). Let h(l) = 3*l + 1. Determine a(h(m)).
3*m + 1
Let h(s) = -43*s**2. Let p(l) = -18*l + 4. What is p(h(i))?
774*i**2 + 4
Let b(y) = -51*y - 232*y - 8*y + 14*y. Let c(a) = 4*a**2. Calculate b(c(f)).
-1108*f**2
Let t(q) = -2*q**2 - 6*q - 190. Let j(l) = 3*l. Determine t(j(r)).
-18*r**2 - 18*r - 190
Let w(c) be the second derivative of -22*c + 0*c**2 + 0 - 2/3*c**3. Let x(g) = -5*g**2 - 4. Let j(d) = -d**2 - 1. Let y(i) = 4*j(i) - x(i). Give y(w(p)).
16*p**2
Let s be 12/(-15) + (-258)/(-10). Let h(f) = s*f**2 + 91 - 91. Let y(v) = v**2. Determine y(h(q)).
625*q**4
Let h(d) = 3*d. Let n(b) = 61816*b. Give h(n(c)).
185448*c
Let h(p) = 6*p. Let b(j) = -10*j**2 + 3111. Give b(h(a)).
-360*a**2 + 3111
Let i(h) = 3*h**2 - 2*h. Let t(r) = -21*r**2 + 15*r. Let y(j) = -j + 5. Let k be y(3). Let f(a) = k*t(a) + 15*i(a). Let z(u) = 3*u**2. Determine z(f(o)).
27*o**4
Suppose -2*r + 5*s = r - 25, -25 = 5*r + 5*s. Let o(t) = -t**2 + r*t + t - t. Let i(g) = 16*g. Calculate i(o(k)).
-16*k**2
Let x(y) = 76*y. Let a(p) = -8*p**2 + 5. Let j(b) = -9*b**2 + 6. Let u(s) = 6*a(s) - 5*j(s). Calculate u(x(c)).
-17328*c**2
Let d(l) = 30*l**2 - 7. Let q(o) = 40*o**2 - 9. Let x(g) = 9*d(g) - 7*q(g). Let f(j) = -101*j. Give f(x(r)).
1010*r**2
Let w(p) = 1
|
{
"pile_set_name": "DM Mathematics"
}
|
ue of 7/(-3)*(-3120)/520?
14
Calculate ((494/(-38))/(-39))/((-28)/6).
-1/14
((-91)/(-21))/13*-2
-2/3
What is the value of (52/(-18))/(-21*(-11)/2079)?
-26
What is the value of ((-2)/(-141))/((-24)/2088*29)?
-2/47
What is ((-12)/(-105))/((-9)/(-45))*98/28?
2
Calculate (2090/(-33))/19*(-11)/((-22)/12).
-20
Calculate (-340)/(-51)*-8*(-9)/48.
10
What is (1/(-5))/(487/4870)?
-2
What is (5/8*(-54)/(-45))/((-11)/(-176))?
12
What is ((-15)/910*-4)/((-105)/490)?
-4/13
What is ((-2)/2*1)/(((-435)/120)/29)?
8
What is the value of (7/63)/(18/864)*-3?
-16
What is the value of (1026/285)/(1*(-2)/(-5))?
9
Evaluate (-4)/(-20)*-1*0.
0
Calculate (-28)/(-22)*-1*308/((-1568)/56).
14
What is the value of (-1)/((2/(-25))/((-254)/635))?
-5
Calculate 49/63*(-756)/(-11466).
2/39
Calculate (6/(-8))/((-12)/(-144)).
-9
Calculate (-50)/40*(-20)/95*6/15.
2/19
Calculate ((-10)/(-4))/((-132)/308*28/(-6)).
5/4
What is ((3/2)/1)/((7155/(-1800))/53)?
-20
Evaluate (1/(-14))/(381/(-508)).
2/21
Evaluate 76/532*70/12.
5/6
Evaluate ((-225)/50)/(((-10)/(-2))/10).
-9
What is the value of ((-19)/228)/(12/24)?
-1/6
What is the value of 10*((-200)/10)/120?
-5/3
Evaluate (6/(-8))/(((-8062)/(-2552))/139).
-33
What is 29/116*-12*5?
-15
Calculate (-4)/26*(-59319)/338.
27
What is the value of ((-18)/4)/(8/(-704)*-33)?
-12
508/(-381)*9/114
-2/19
(((-12)/14)/(-3))/((-15)/(-35)*-1)
-2/3
Calculate ((-2)/(-2))/((-104)/52).
-1/2
What is the value of (((-5698)/(-44))/37)/(-3*(-3)/36)?
14
Calculate (18/10*4/(-6))/((-5592)/41940).
9
What is the value of 9/(-21)*63/72*(-96)/12?
3
(-10)/(-16)*411/(-2055)
-1/8
Evaluate ((-4)/(-3)*(-23)/(-92))/((-26)/18).
-3/13
What is the value of -17*104/(-442)*2/4?
2
What is (143/(-39))/(-11)*(-4)/6?
-2/9
Calculate (108/(-63))/(22/(-21)).
18/11
5*13/((-52)/4)
-5
What is 5*-1*(-34)/1870?
1/11
Evaluate (-81)/(-18)*988/(-234).
-19
(87*(18/36)/(3/2))/(-1)
-29
-15*(12/(-33))/(39/143)
20
(680/(-2550))/((-44)/10)
2/33
What is the value of (516/774)/(-4*(-2)/264)?
22
What is the value of (((-49)/735)/((-15)/(-36)))/(1*2)?
-2/25
(10/(-56))/((-44)/308)
5/4
4/2*(((-20)/(-36))/5)/(-1)
-2/9
(44225/(-4392))/145*3/(-5)
1/24
What is the value of (-3*(18/(-99))/2)/1?
3/11
Calculate ((12/7)/((-125)/35))/(24/(-60)).
6/5
Calculate ((-6)/(-15))/(((-324)/(-15))/9).
1/6
2370/1422*(-42)/(-10)
7
Evaluate ((-2)/(-4))/(((-2)/25)/(4704/(-1960))).
15
(1/(-14))/(((-3864)/(-196))/23)
-1/12
Evaluate ((-11)/(11/1))/((-4)/((-24)/(-237))).
2/79
Evaluate ((-5)/(550/(-88)))/(216/(-20)).
-2/27
What is the value of ((-2)/(-30))/(((-6)/(-8))/(954/848))?
1/10
Calculate (4/8)/(((-9)/(-2))/9).
1
Evaluate ((-357)/340)/(12/10)*-8.
7
Calculate (-18)/4*((-12)/21)/(810/180).
4/7
Evaluate (14*32/(-1568))/(2/91).
-13
Evaluate ((-80)/24)/(18/(108/(-10))).
2
Calculate (-65)/(-572)*(32/(-120))/2.
-1/66
What is 84*1*1/6?
14
What is (13*(-33)/(-715))/((-6)/15)?
-3/2
Calculate ((-2079)/(-1386))/(7/((-14)/(-72))).
1/24
What is the value of 40*-3*-1*(-9)/(-1215)*9?
8
What is the value of (9/(-12))/((22/880)/((-2)/6))?
10
What is the value of (-30)/4*((-6)/12)/((-129)/344)?
-10
(-154)/(-220)*(-1254)/231
-19/5
Evaluate 8/7*(-32151)/3062.
-12
Evaluate -25*(-16)/(-120)*3.
-10
Calculate ((-12)/30)/(2/40)*(-106)/212.
4
What is the value of (51/306)/((-2*2)/40)?
-5/3
Evaluate -90*28/(-3528)*14.
10
Calculate (48/224)/(((-111)/18)/(-37)).
9/7
Calculate (276/46)/((-30)/(-35)).
7
Evaluate (-7)/2*(-408)/(-1428)*(-2)/(-6).
-1/3
What is (-10)/(-440)*-4*1?
-1/11
88/(-18)*2/(-4)*(-18)/(-12)
11/3
Evaluate (((-31)/(-4))/(-31))/(20/(-48)).
3/5
What is the value of 4*15/6*1/(80/(-12))?
-3/2
What is (6*(-4)/112)/((-36)/(-42))?
-1/4
What is ((-2)/(-4))/((-5)/540*-54)?
1
Calculate (25/30)/((-20)/(-120)).
5
What is (33/(-15)*-5)/((-12)/((-72)/6))?
11
Evaluate (-2514)/(-3352)*64/(-3).
-16
Calculate 225/315*63/(-105).
-3/7
What is 5/(-7*(-2)/(-14))?
-5
What is (450/50)/((15/(-5))/(-3))?
9
What is the value of (-3*2/15)/((-198)/(-3960))?
-8
What is (163/(-1630)*2*-2)/(1/(-55))?
-22
Calculate (-5)/((-1860)/8)*2529/1686.
1/31
Calculate ((-7)/56)/(27/(-4104)).
19
Calculate (-1856)/928*(-2)/4*9.
9
Evaluate 3/(32/(-160)*-15).
1
8*(-18)/1224*-17
2
What is 3234/(-1925)*(-3)/9*5?
14/5
What is ((-20)/(-105)*3)/(7/((-49)/(-2)))?
2
((-33)/(-44))/((-504)/96)
-1/7
What is -8*9/((-288)/56)?
14
Calculate (-459)/510*-2*2/18.
1/5
What is the value of 28/(-28)*196/(-14)?
14
Evaluate (-4)/3*17/(-50048)*-48.
-1/46
Calculate (((-3)/(-12))/((-385)/(-110)))/((-1)/(-2)).
1/7
What is ((-252)/240)/7*(-4)/15?
1/25
Evaluate ((-2)/(-6))/(16/(-32)*2/39).
-13
Calculate (24/1)/((-156)/(-39)).
6
Calculate ((-1512)/(-2079))/(30/11).
4/15
Calculate -8*(2/848)/((-20)/40).
2/53
-2*(-1)/(-3)*(-154467)/5721
18
Evaluate ((-2)/(-2))/(2*7/(-2)).
-1/7
Evaluate (3/(-7))/((-1113)/(-106)).
-2/49
What is ((-210)/105)/((-2)/(-92)*-4)?
23
What is the value of ((-2040)/40)/(1*3*(-2)/2)?
17
Calculate (13/(-208))/(23/(-184)).
1/2
4*3/(-10)*(350/(-21))/(-5)
-4
Calculate 0/((-6)/(-15)*5)*(-4)/4.
0
What is ((-2)/48)/(165/110*(-4)/18)?
1/8
1*(1140/20)/(-19)
-3
What is (-2)/(-4)*(0/2)/((-8)/(-4))?
0
Evaluate (-89)/(-890)*1/(-1).
-1/10
Evaluate 0*-4*8/160.
0
What is 14*11/(5082/891)?
27
17/(1122/(-11))*(-30)/2
5/2
What is the value of ((-20)/80)/(3/8)*(-3)/(-6)?
-1/3
What is ((-1540)/275)/(7/(35/(-2)))?
14
What is the value of (-3)/(-5)*(-5425)/1395?
-7/3
What is the value of ((-150)/(-60))/(5/(-3))*2/8?
-3/8
Calculate 2*93/(-155)*3.
-18/5
What is the value of (828/368)/(6/(-16))?
-6
-2*(-7)/(-28)*((-1296)/450)/18
2/25
31/(1860/(-200))*(-4)/((-80)/36)
-6
(285/120)/((-1)/(-8))
19
What is (1/(-1))/(34*35/26180)?
-22
Calculate -16*(-15)/1440*(-12)/15.
-2/15
Calculate (-423)/47*(-2)/(-4)*(-4)/(-30).
-3/5
What is the value of (144/(-40))/(28/70)?
-9
What is (((-1)/45)/(501/1670))/(2/6)?
-2/9
What is the value of ((-2)/(-36))/(18/48*(-2)/3)?
-2/9
62/(-93)*(-1)/2*66/8
11/4
What is the value of (4800/(-2100))/(4/(-28))?
16
9/135*3*((-3)/1)/6
-1/10
(1*((-288)/(-12))/(-12))/((-72)/(-15))
-5/12
Calculate (24/8)/3*11/1.
11
(14/(-12)*3)/(119/(-510))
15
Evaluate (-1395)/((-9)/(-1))*(-8)/40.
31
33*8*(-21)/(-462)
12
Calculate 3*(-10)/68*((-1456)/195)/28.
2/17
What is the value of ((-8)/(-14)*(-140)/(-140))/((-2)/7)?
-2
What is ((78/(-5))/(-39))/(((-8)/(-130))/(-2))?
-13
Calculate 12*(-15)/1620*4/1*5.
-20/9
Evaluate ((-140)/28)/(390/(-12)).
2/13
Calculate 5/(-15)*39*3*(-3)/(-9).
-13
Calculate 15/42*(480/25)/(-6).
-8/7
Calculate 4/(-64)*(-250)/(-750).
-1/48
Evaluate ((-50)/(1000/(-6660)))/9.
37
What is (9/5)/((-1)/60*-3*-3)?
-12
Evaluate -10*(-1)/20*((-420)/5)/(-7).
6
What is the value of (20/6)/(-2)*1296/(-2160)?
1
What is 436/2398*1*2/(-8)?
-1/22
((-90)/(-85))/((-34)/(-578))
18
What is (42/(-7))/((-54)/(-90))?
-10
Evaluate 38192/(-12152)*2/(-44).
1/7
Calculate (13/((-52)/6))/((-4)/(-8)).
-3
What is the value of 13*(-18)/(-2457)*21?
2
Calculate (47*5/3760)/(2/40).
5/4
Calculate ((2/(-4))/((-345)/(-1725)))/((-5)/(-12)).
-6
What is the value of (42/(-56))/((99/24)/11)?
-2
Calculate 500/500*1*-9.
-9
Calculate (-50)/15*((-42588)/195)/(-26).
-28
What is the value of ((-8)/44)/(30/(-2640))?
16
Evaluate (-519)/(-865)*2/(-18)*-5.
1/3
Evaluate 3/((-16)/512*12).
-8
What is (-24)/(-36)*(-14)/18*-3?
14/9
Calculate 396/4*((-475)/190)/(45/(-4)).
22
10*((-1512)/90)/12
-14
What is (-64)/320*35/(-14)?
1/2
What is the value of 6/21*321/(-428)?
-3/14
825/(-330)*(-18)/(-5)
-9
What is the value of (9/36)/((-9)/144*-92)?
1/23
What is the value of (-5)/12*-20*78/(-715)*-11?
10
What is the value of -68*(-16)/2176*(42/1)/(-1)?
-21
(((-21)/14)/(30/20))/((-2)/18)
9
Evaluate (-84)/98*28/(-68).
6/17
Evaluate 170/136*288/(-20).
-18
Calculate 12/(-48)*-1*3/18*-4.
-1/6
((-48)/368)/(4/(-46))
3/2
Calculate 32/(-24)*(-27)/(-144).
-1/4
Calculate ((-952)/(-16))/(14/4).
17
Calculate (-1)/(-1)*-4*(-8246)/(-1736).
-19
Evaluate (-2)/(14/315)*-1*(-3)/(-5).
27
What is the value of ((2/(-20))/((-80)/2400))/(1/(-7))?
-21
What is the value of ((-27)/(459/(-34))*1*3)/2?
3
What is -2*(-6)/(-4)*13545/(-1161)?
35
2/(-2)*(85/(-17))/(20/4)
1
Calculate ((-3)/22*4)/(38/(-418)*-11).
-6/11
Calculate ((140/(-24))/5)/((-26)/312).
14
Evaluate ((-360)/120)/(345/(-10)).
2/23
Calculate 175/(-25)*(-143)/77.
13
Evaluate ((-42)/60984*55)/(10/(-16)).
2/33
What is the value of -14*((-93
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Is 72 a factor of 470?
False
Is 2544 a multiple of 159?
True
Is 10380 a multiple of 3?
True
Does 60 divide 2760?
True
Is 50905 a multiple of 118?
False
Does 29 divide 5915?
False
Is 96 even?
True
Does 3 divide 1363?
False
Does 35 divide 9752?
False
Is 260 even?
True
Is 840 a multiple of 56?
True
Is 352 a multiple of 16?
True
Is 8 a factor of 830?
False
Does 10 divide 300?
True
Is 62 a factor of 304?
False
Is 113 a factor of 15031?
False
Does 128 divide 1536?
True
Is 86034 a multiple of 13?
True
Is 49196 a multiple of 28?
True
Is 13 a factor of 636?
False
Is 2 a factor of 1452?
True
Does 20 divide 1400?
True
Is 12 a factor of 211?
False
Is 3074 a multiple of 7?
False
Is 15 a factor of 208?
False
Does 16 divide 171?
False
Is 47 a factor of 2199?
False
Does 4 divide 268?
True
Does 50 divide 11683?
False
Does 8 divide 17681?
False
Does 66 divide 24937?
False
Is 209 a multiple of 21?
False
Is 10590 a multiple of 30?
True
Is 13 a factor of 2760?
False
Is 1260 a multiple of 60?
True
Is 64 a factor of 4992?
True
Is 6380 a multiple of 220?
True
Is 10 a factor of 90?
True
Is 10 a factor of 2859?
False
Is 275 a factor of 109042?
False
Is 3494 a multiple of 14?
False
Is 35365 a multiple of 240?
False
Does 77 divide 385?
True
Is 496 a multiple of 5?
False
Is 4017 a multiple of 13?
True
Is 252 a multiple of 30?
False
Does 22 divide 1584?
True
Is 10 a factor of 10169?
False
Is 16 a factor of 205?
False
Is 720 a multiple of 24?
True
Does 23 divide 5853?
False
Is 111 a multiple of 11?
False
Is 216 a multiple of 5?
False
Does 18 divide 1447?
False
Does 48 divide 1142?
False
Is 4 a factor of 12?
True
Does 29 divide 2794?
False
Is 29 a factor of 1150?
False
Does 22 divide 5280?
True
Does 14 divide 1876?
True
Does 48 divide 1613?
False
Is 1159 a multiple of 23?
False
Is 41 a factor of 14723?
False
Is 1677 a multiple of 61?
False
Does 140 divide 14279?
False
Is 2452 a multiple of 38?
False
Is 71 a factor of 779?
False
Does 26 divide 4082?
True
Is 11052 a multiple of 12?
True
Does 26 divide 884?
True
Does 5 divide 10126?
False
Is 7706 a multiple of 18?
False
Does 13 divide 14424?
False
Does 5 divide 5223?
False
Is 1476 a multiple of 17?
False
Is 528 a multiple of 6?
True
Does 29 divide 2053?
False
Is 20 a factor of 2399?
False
Is 10904 a multiple of 116?
True
Does 7 divide 581?
True
Is 14 a factor of 2447?
False
Is 15 a factor of 150?
True
Is 59 a factor of 12862?
True
Is 70 a factor of 5320?
True
Is 1015 a multiple of 16?
False
Is 2986 a multiple of 13?
False
Is 198068 a multiple of 13?
True
Is 94 a factor of 9588?
True
Does 159 divide 13197?
True
Is 38 a factor of 2546?
True
Is 27096 a multiple of 18?
False
Is 12320 a multiple of 22?
True
Is 2924 a multiple of 86?
True
Is 258 a multiple of 68?
False
Is 2628 a multiple of 24?
False
Is 74 a factor of 13320?
True
Does 45 divide 45585?
True
Is 18 a factor of 21960?
True
Is 58 a factor of 54172?
True
Is 19 a factor of 67495?
False
Is 812 a multiple of 29?
True
Is 3116 a multiple of 4?
True
Is 38 a multiple of 16?
False
Is 16900 a multiple of 86?
False
Is 16 a factor of 49388?
False
Is 6710 a multiple of 70?
False
Is 1326 a multiple of 102?
True
Is 1584 a multiple of 88?
True
Is 1392 a multiple of 29?
True
Does 24 divide 6919?
False
Is 1380 a multiple of 25?
False
Does 62 divide 2876?
False
Does 3 divide 321?
True
Does 76 divide 705?
False
Does 73 divide 21900?
True
Is 28652 a multiple of 38?
True
Is 400 a multiple of 22?
False
Is 62 a factor of 2271?
False
Is 63 a factor of 11918?
False
Does 18 divide 13302?
True
Does 27 divide 1058?
False
Does 103 divide 28287?
False
Is 21 a factor of 924?
True
Is 7 a factor of 3153?
False
Is 288 a multiple of 6?
True
Is 94 a factor of 2186?
False
Is 15 a factor of 180?
True
Is 2688 a multiple of 42?
True
Is 1612 a multiple of 31?
True
Is 22 a factor of 12496?
True
Is 82836 a multiple of 234?
True
Does 22 divide 17952?
True
Is 236 a multiple of 4?
True
Is 711 a multiple of 26?
False
Is 26 a factor of 754?
True
Does 68 divide 2913?
False
Does 7 divide 242?
False
Does 15 divide 305?
False
Does 65 divide 2023?
False
Is 385 a multiple of 34?
False
Is 228 a multiple of 3?
True
Is 27774 a multiple of 8?
False
Is 5282 a multiple of 38?
True
Does 5 divide 140?
True
Is 11 a factor of 924?
True
Is 500 a multiple of 50?
True
Is 5 a factor of 437?
False
Does 31 divide 9238?
True
Does 341 divide 106216?
False
Is 5772 a multiple of 17?
False
Does 10 divide 9153?
False
Does 16 divide 5553?
False
Is 663 a multiple of 22?
False
Is 19 a factor of 1254?
True
Does 20 divide 68114?
False
Is 4749 a multiple of 80?
False
Is 72 a factor of 10224?
True
Is 200 a factor of 25000?
True
Is 1566 a multiple of 18?
True
Is 156 a multiple of 26?
True
Does 7 divide 79?
False
Does 59 divide 885?
True
Is 5 a factor of 1069?
False
Is 9 a factor of 50247?
True
Does 32 divide 192?
True
Is 21 a factor of 819?
True
Is 37037 a multiple of 13?
True
Is 23 a factor of 52578?
True
Is 1452 a multiple of 6?
True
Is 2232 a multiple of 72?
True
Is 16 a factor of 15792?
True
Does 4 divide 1712?
True
Is 75 a factor of 11925?
True
Does 92 divide 99010?
False
Is 105 a factor of 5293?
False
Is 7821 a multiple of 9?
True
Is 16 a factor of 13236?
False
Does 66 divide 1122?
True
Is 67940 a multiple of 43?
True
Is 8766 a multiple of 41?
False
Does 20 divide 20?
True
Does 2 divide 2016?
True
Does 4 divide 27?
False
Is 248 a factor of 17499?
False
Does 18 divide 84996?
True
Is 81 a factor of 4147?
False
Does 93 divide 33294?
True
Is 4 a factor of 2355?
False
Does 15 divide 375?
True
Does 149 divide 3302?
False
Does 12 divide 132?
True
Is 2 a factor of 6773?
False
Is 200 a factor of 39960?
False
Does 21 divide 117?
False
Does 304 divide 50623?
False
Is 29304 a multiple of 8?
True
Is 298 a multiple of 4?
False
Is 46 a factor of 16655?
False
Is 57 a factor of 493?
False
Is 13 a factor of 4030?
True
Does 60 divide 1260?
True
Does 24 divide 3744?
True
Is 7859 a multiple of 12?
False
Is 70 a factor of 4061?
False
Is 48 a factor of 2256?
True
Is 557 a multiple of 25?
False
Does 7 divide 15036?
True
Is 11 a factor of 1583?
False
Does 60 divide 22100?
False
Is 72 a factor of 1899?
False
Does 4 divide 4228?
True
Is 19 a factor of 1878?
False
Does 54 divide 245?
False
Does 49 divide 4901?
False
Is 10 a factor of 5534?
False
Is 4 a factor of 176?
True
Does 30 divide 360?
True
Is 4768 a multiple of 14?
False
Is 112397 a multiple of 22?
False
Is 2355 a multiple of 6?
False
Does 8 divide 1532?
False
Is 3 a factor of 20417?
False
Is 14 a factor of 45542?
True
Does 4 divide 1180?
True
Is 14 a factor of 62692?
True
Is 820 a multiple of 20?
True
Is 24836 a multiple of 28?
True
Does 30 divide 86259?
False
Is 21 a factor of 2814?
True
Is 2244 a multiple of 5?
False
Does 42 divide 2814?
True
Is 780 a multiple of 13?
True
Does 87 divide 2871?
True
Is 23 a factor of 4453?
False
Does 2 divide 58?
True
Is 100 a factor of 3300?
True
Does 37 divide 771?
False
Does 20 divide 1020?
True
Does 27 divide 75?
False
Is 10 a factor of 30450?
True
Is 4104 a multiple of 18?
True
Is 376 a multiple of 4?
True
Is 27 a factor of 584?
False
Is 1384 a multiple of 6?
False
Does 129 divide 45461?
False
Is 14 a factor of 756?
True
Is 2737 a multiple of 11?
False
Is 3806 a multiple of 14?
False
Is 25 a factor of 2909?
False
Is 57 a factor of 38988?
True
Is 96 a factor of 34256?
False
Does 15 divide 55892?
False
Does 13 divide 2250?
False
Does 97 divide 388?
True
Is 72 a factor of 77472?
True
Is 64767 a multiple of 10?
False
Does 6 divide 3552?
True
Is 102080 a multiple of 58?
True
Is 29 a factor of 1162?
False
Is 6 a factor of 43296?
True
Is 8880 a multiple of 20?
True
Does 19 divide 399?
True
Does 48 divide 672?
True
Does 14 divide 11998?
True
Does 60 divide 5688?
False
Does 46 divide 438?
False
Does 40 divide 88799?
False
Is 2 a factor of 3819?
False
Is 660 a multiple of 22?
True
Is 11664 a multiple of 8?
True
Is 222 a factor of 21978?
True
Is 3287 a multiple of 61?
False
Is 3222 a multiple of 179?
True
Does 110 divide 3190?
True
Is 9 a factor of 18720?
True
Is 634 a multiple of 15?
False
Does 93 divide 2325?
True
Does 19 divide 6935?
True
Is 7493 a multiple of 17?
False
Does 9 divide 28309?
False
Does 75 divide 900?
True
Is 89 a factor of 42631?
True
Is 2808 a multiple of 26?
T
|
{
"pile_set_name": "DM Mathematics"
}
|
n*t + a*t**4 + f*t**3 and give a.
-2
Express 3*j - 2*j**3 - 2 - 5*j + 0*j + j**4 as q*j**3 + i*j**4 + t*j + k + c*j**2 and give c.
0
Express (-t + 0*t + 2*t)*(-3*t**2 + 5*t**2 - t**2) + 3*t**3 + t**3 + t**3 + t**3 - 9*t**3 + t**3 in the form y*t**2 + p*t**3 + m*t + n and give p.
-1
Rearrange 13*v + 41*v - 9*v to k*v + u and give k.
45
Express 16 - 5 - 9 + f**2 in the form x*f**2 + l*f + a and give a.
2
Express -4 + 6*z + 4 + 0 in the form v + q*z and give q.
6
Rearrange (d - 2*d - d)*(0 + 6 + 2)*(0*d**2 - d**2 - 5*d**2) to the form l*d**3 + n*d + f*d**2 + u and give f.
0
Rearrange (3 - 2 + 0)*(-3 - 2*a + 3)*(-3 - 1 - 3 - a) to the form i*a**2 + y + h*a and give i.
2
Rearrange -2 + 4*y**2 + 19*y - 15*y - 4*y to the form n*y**2 + j + u*y and give n.
4
Express -13*x - 14*x - x + 5*x in the form b + i*x and give i.
-23
Express -r - 2*r + r - r + r - r + (r - 2*r + 2*r)*(-2 + 3 - 3) - r - 2 + 2 + 3*r - 2*r + 4*r as j + u*r and give u.
-1
Rearrange (-2 - 5 - u + 5)*(-15 + 11*u + 7 + 12) to q + x*u**2 + s*u and give q.
-8
Rearrange 2*f**4 + 52 - 4*f**2 + 4*f**3 - 2*f**3 - 56 to the form a*f**2 + q + b*f + c*f**4 + d*f**3 and give b.
0
Rearrange -5*n**3 - 3*n**2 + n**4 + n - 2*n + n**3 to the form m*n**2 + l + p*n**4 + r*n**3 + a*n and give p.
1
Rearrange (-2 + 2 + 2*h**2)*(-21*h + 3 + 43*h - 20*h) to the form m*h**2 + f*h + b*h**3 + c and give b.
4
Rearrange (b**2 - 2*b**2 - b**2)*(b - b - 2*b + (11 - 11 + 4*b)*(-2 - 2 + 2 + (0 + 0 + 2)*(-2 - 3 + 4))) to o*b**2 + c + z*b + n*b**3 and give c.
0
Express -40*u**2 - 41*u**2 + 0*u + 2*u**3 - 3*u**4 + 86*u**2 + u in the form c + q*u**4 + k*u**3 + f*u**2 + y*u and give y.
1
Rearrange 116 + 0*j - 2*j**2 - 109 - j to the form g*j + y + c*j**2 and give y.
7
Express 3 - l + l**3 - 1 - l**4 - l + 0*l as c*l**2 + y*l + m + g*l**3 + t*l**4 and give y.
-2
Express 3*f - 2*f**2 + 0*f**3 - 2*f + f**3 in the form r*f + q*f**2 + h*f**3 + x and give r.
1
Express 3*t + 10 + 11 - 22 in the form g + h*t and give g.
-1
Express 12*d - 7 - 1 + 8 as l + u*d and give u.
12
Rearrange v - 5*v**3 + 11 - 11 to s*v + z*v**2 + l*v**3 + h and give s.
1
Rearrange (2*g + 2*g - 2*g)*(30 + 89 - 15) to k*g + h and give k.
208
Rearrange -8*m**3 + 7*m**4 + 0*m**2 + 6*m**3 + m**2 - m to x*m**3 + y*m + q*m**4 + i*m**2 + z and give i.
1
Express 2*i - 3*i**4 + 1310*i**3 - 1308*i**3 - i**4 - 2 as g*i + r*i**4 + q*i**3 + t*i**2 + y and give y.
-2
Rearrange -139*c - 5 - c**2 - 1 + 135*c to the form s*c + m*c**2 + r and give s.
-4
Rearrange 0*i**3 - 25*i**2 - 4*i**3 + 5*i**3 - 16*i**2 + 1 to p + b*i**2 + d*i**3 + u*i and give p.
1
Express 5*w**3 - 2*w**3 - 4 - 3*w**2 - 2*w**3 as c*w**2 + s*w + z*w**3 + j and give c.
-3
Express 26*z + 31*z + 2 - 18*z + (5 - 2 - 2)*(0*z + 3*z - 2*z) in the form l + x*z and give x.
40
Rearrange 0*u**3 + 2*u**3 + 1 - 26*u + 53*u - 2*u**4 - 28*u + u**2 to the form l + o*u**4 + b*u + k*u**2 + p*u**3 and give k.
1
Rearrange 2 - 2*b**2 - 112*b**3 + 58*b**3 + 4*b + 56*b**3 to the form x*b + r*b**2 + t + l*b**3 and give x.
4
Rearrange (-3 + 0 + 4)*(-4*v + 5*v - 2*v) - v + 3*v + 4*v - v + 3 - 3 + (-v - 2 + 2)*(-3 - 2 + 3) to the form d*v + n and give d.
6
Rearrange 2 - 9*o**2 - 6*o + 12*o**2 + 6*o to the form b + x*o**2 + l*o and give x.
3
Express -1 + 2*x**2 + 8*x**3 + 4*x**2 - 5*x**2 + x**2 in the form w + k*x**3 + l*x + c*x**2 and give c.
2
Express (0*f + 2*f + 0*f)*(62*f**2 + 1043*f - 1043*f) - f**3 - 3*f**3 + 3*f**3 in the form k*f**3 + j*f**2 + y + b*f and give k.
123
Rearrange -2*w + 12*w + 19*w - 7*w to the form a + z*w and give z.
22
Express (0 + 3*m**3 + 0)*(3*m - 7*m + 2*m) + (13 - 13 + 3*m**2)*(2*m**2 + 0*m**2 - 3*m**2) in the form p*m + z + k*m**2 + s*m**4 + c*m**3 and give s.
-9
Express (-u**3 - u**4 + 2*u**4 - 4*u**4)*(-5 - 14 - 9) as b + m*u**4 + q*u**2 + d*u**3 + x*u and give m.
84
Rearrange -2*c**2 - 3*c + 3*c + (-21 + 21 - 17*c)*(-3*c - 2*c + 4*c) - 3*c**2 - c**2 + 2*c**2 to h + i*c + o*c**2 and give o.
13
Express -11*q + 4*q + q - 24 + 2*q in the form n*q + b and give b.
-24
Rearrange -3*j + 2*j - 6*j + (5 - 3 - 1)*(0*j - 2*j - j) to the form t + g*j and give g.
-10
Rearrange -3*k**4 - 12*k**4 + 3*k**4 + (2*k**2 - k**2 + k**2)*(4*k**2 + 2*k**2 - 4*k**2) to the form m*k + b*k**4 + z*k**2 + s + r*k**3 and give b.
-8
Express -2*j**3 + 2*j**3 + j**3 + (5 - 2 - 5)*(-2*j**3 + 2*j**3 - 2*j**3) + 4*j**3 - 4*j**3 - j**3 in the form y*j**3 + s*j + u + g*j**2 and give y.
4
Rearrange -2*k**3 + 4*k**3 - k**3 + 0 + 0 + 2*k**3 + (3*k - 4*k - 4*k)*(2*k - 2*k + 3*k**2) to v*k + l + d*k**3 + n*k**2 and give d.
-12
Express 1 - 5*h + 5*h + 7*h as t*h + u and give t.
7
Express -5 + 4 - t**2 + 0*t**2 + 0 in the form m + u*t + s*t**2 and give m.
-1
Rearrange 1 - o**3 - 5*o + o - 3*o**2 + 3 - 3 to the form u + r*o**3 + z*o**2 + l*o and give z.
-3
Express -3*n**3 + 0*n**3 + 2*n**3 + (-2 + 1 - 1)*(-2*n**3 - 3*n**2 + 3*n**2 - n**2) in the form h*n**3 + i*n + c + p*n**2 and give p.
2
Express (-4 - 3 + 3)*(-7 + 7 - 8*d) + (2*d - 3*d + 3*d)*(5 - 4 + 0) + 0*d + 2*d + 0*d in the form y + i*d and give i.
36
Express 16*v - 13*v - 64*v in the form m + y*v and give y.
-61
Rearrange -4*i**3 - 3*i**3 - 2*i + 0*i + 0*i**3 to x + k*i + j*i**3 + v*i**2 and give j.
-7
Rearrange 16*i**2 - 8*i**2 + 11*i**2 to c + h*i**2 + v*i and give h.
19
Rearrange (0*y - 2*y + 0*y)*(0 - 5 + 28) to j*y + z and give j.
-46
Rearrange (-4*d - 3*d - 3*d)*(-2 + 2 - 2*d**2) + 8*d**3 - 2*d**2 + 2*d**2 to y + j*d**3 + n*d + a*d**2 and give j.
28
Rearrange (-j**2 + 3*j**2 - 4*j**2 + (0 - 2 + 3)*(j**2 - 4*j + 4*j))*(0 - 14 - 2) to g*j**2 + w + l*j and give g.
16
Rearrange (6*y**2 - 13*y + 13*y)*(9 + 0*y**2 - 7 - y**2) to l*y**3 + w*y**2 + c*y + z + r*y**4 and give w.
12
Rearrange z**2 - 8*z + 26*z - 3*z**2 - 10*z to the form a*z + r*z**2 + f and give r.
-2
Express (-1 + 1 + q + (-3 + 3 - 2*q)*(-1 + 0 - 1))*(1 + 1 + 5)*(-3*q - 2*q + 3*q) as d*q + w*q**2 + o and give w.
-70
Express 142 + 45*d - 142 as l*d + p and give l.
45
Express (-8*t - t + t)*(3 - 4 + 0)*(5*t - 5*t + 2*t**2) in the form w*t + z*t**2 + s + r*t**3 and give r.
16
Rearrange (11 + 10 + 551*a - 549*a)*(3 - 3*a - 3)*(0*a - 4*a + 2*a) to the form d*a**2 + z + u*a + s*a**3 and give d.
126
Express (-4*n - n + 3*n + (-3*n + 2*n - n)*(2 - 2 + 3) - 4*n + 3*n - n + 5 - 2*n - 5)*(0*n**2 + 0*n**2 + n**2) as p*n + f + u*n**3 + b*n**2 and give p.
0
Rearrange -2*y - 2*y - 2 - 4*y - 2*y**2 - 2*y**3 + 4*y to the form i*y**2 + z + h*y + o*y**3 and give o.
-2
Rearrange (-m - 1 + 1)*(5*m - m + 0*m) + (0*m + 3*m - m)*(2*m + 0*m + 0*m) - 3*m**2 + 4*m**2 + m**2 to d*m**2 + w*m + r and give d.
2
Rearrange -j**2 + 3*j - 3*j + (4*j**2 + 3*j**2 - 6*j**2)*(-2 + 8 + 10) to d*j + b*j**2 + l and give b.
15
Rearrange (4*j**4 + 2*j**4 - 2*j**4)*(-13 - 1 - 2 + (4 - 2 - 4)*(4 - 1 - 2) + 0 + 6 - 4) to the form u*j**4 + p*j**2 + v + h*j + w*j**3 and give u.
-64
Rearrange 2*n**3 + 4 - 5*n**3 + 4*n**3 - 2*n**2 to the form k*n**3 + q*n**2 + t + i*n and give t.
4
Express -34*q**2 - 51*q**2 - 8*q**2 as n*q + m*q**2 + l and give m.
-93
Express 6 - 5*c**2 + 6*c**2 + 3 in the form r + i*c + m*c**2 and give m.
1
Express (-1 + 1 + 2*z**2)*(2 + 2 - 2)*(-z - 9*z - 4*z) in the form m*z**2 + h*z**3 + y*z + a and give m.
0
Express -6*n**3 + n**3 + 3*n**3 + 13*n**2 in the form v*n + h + i*n**3 + p*n**2 and give p.
13
Rearrange 11*l + 7*l - 9*l**2 - 18*l - 2 to the form s + g*l**2 + j*l and give g.
-9
Express 68 + 2*m**2 - 9*m - 7*m - 68 in the form t*m**2 + j*m + p and give j.
-16
Express -5*o**2 + 2*o**3 + 0*o + 11*o**2 - 2*o - 7*o**4 - 7*o**2 in the form v*o**3 + w + t*o**4 + j*o**2 + r*o and give v.
2
Express 13*l + 23*l - 7*l in the form z*l + v and give z.
29
Express 4 - 3 - 84*l - 1 as x + u*l and give u.
-84
Rearrange -25 - 1 + 2*c + 22 - 73 to the form b + z*c and give b.
-77
Rearrange -t - 4*t**3 - 17*t**2 + 18*t**2 + t**3 + 6*t**3 to u*t + s*t**2 + d*t**3 + z and give d.
3
Rearrange -v + 5*v**3 + v + 7*v**3 - v**3 - 4*v**3 - v**3 - 4 + 4 + (-2 + 2 - v)*(0*v**2 + 2*v**2 + 0*v**2) to the form j*v**3 + y*v + d*v**2 + t and give j.
4
Express -37*j**2 - 2*j - 9*j**2 - 6*j**2 as g*j**2 + l + a*j and give g.
-52
Rearrange -6*z**2 + 4*z**2 + z + 17 - 3*z**4 + 4*z**2 to f*z**2 + a + g*z + q*z**3 + p*z**4 and give p.
-3
Express (-2233*w + 2233*w + 32*w**2)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
50*x**3 + 10513*x**3 - x + 5*x**2 + x**2 - 2*x - 5264*x**3. Calculate d(5).
10
Let q(a) = -3*a**3 + a**2 + 9*a - 1. Let k be q(-2). Let r(s) = -3*s + 9. Give r(k).
-18
Let q(c) = -73*c + 22. Let f(v) = 231*v - 65. Let k(d) = -6*f(d) - 19*q(d). Determine k(25).
-3
Let z(k) = 6*k + 5. Suppose -p + 9 - 47 = -2*x, 2*x - 5*p = 46. Suppose -3*q - 4*s = -3, 3*q - 3*s + x = -0*q. What is z(q)?
-13
Let a(u) = 5*u**2 - 3*u - 7. Let p(o) = 6*o**2 - 4*o - 7. Let z(g) = 5*a(g) - 4*p(g). Let q = 131 - 129. Suppose -q*m + 2*m = m. Give z(m).
-7
Suppose -48*o = -56*o. Let d(w) = -7516 - w**3 + 7494 + 0*w**3. What is d(o)?
-22
Let j = 4 - -119. Let d = j - 120. Let z(n) = n**2 - n + 2. Calculate z(d).
8
Let a = 1 + 0. Let v(t) be the first derivative of -7/2*t**2 + 0*t - 65. Calculate v(a).
-7
Let a(b) = 3*b. Let k be a(2). Suppose 0 = 3*d - 7*d + n + 27, 2*d - 10 = 4*n. Let u(g) = 3*g - 13. Let w(c) = -5*c + 20. Let v(f) = d*u(f) + 5*w(f). Give v(k).
-15
Let p(a) = -2*a**2 + 11*a + 25. Let u(r) = r**2 - 5*r - 13. Let x(w) = 6*p(w) + 13*u(w). Let o(z) = z**3 + 6*z**2 + 3*z - 10. Let j be o(-5). Calculate x(j).
-19
Let v be (5/(-2))/((-24)/48). Suppose 3*r = -v*r + 32. Let t(z) = -z**3 + 5*z**2 - 6*z + 2. Calculate t(r).
-6
Let g(y) be the second derivative of -20*y**3/3 - 19*y**2/2 + 10881*y. What is g(-5)?
181
Let g(l) be the second derivative of l**6/360 + l**4/6 + l**3/3 + 45*l**2/2 - 42*l. Let u(w) be the second derivative of g(w). Calculate u(0).
4
Let t be (13 - 14)*(1 + -4 + 1). Let j be (-49)/(-14)*((-2)/t - 1). Let b(u) = u**2 + 6*u + 2. Calculate b(j).
9
Let p(b) = 2*b**3 + 2*b + 1. Let d = 483 + -481. Suppose -5*x = -3*o - 9, -5*o + d*x + 15 - 11 = 0. Calculate p(o).
21
Let z(c) = -2*c**2 + 20*c + 34. Suppose -221 = 32061*i - 32078*i. What is z(i)?
-44
Suppose 0 = -5*w + 20, 0 = -2*u + 6*u - 2*w - 36. Suppose m + 4*m = -5*d + 15, 5*d = -m + u. Let g(t) = -3*t**2 - 137*t + d*t**2 + 141*t. Give g(5).
-5
Let a(v) be the third derivative of v**6/60 - v**5/60 - 11*v**4/24 - v**3/3 - 847*v**2. Determine a(-3).
-32
Let j(p) = -p**2 + 11*p - 19. Let o be 9 + -14 + (-1 - -3) + (16 - 4). Give j(o).
-1
Suppose j - 3*j = -2*u + 392, u - 592 = 3*j. Let i = -202 - j. Let k(h) be the third derivative of h**5/60 - h**3/3 + 7*h**2. Give k(i).
14
Let d(v) be the second derivative of -v**4/3 + 11*v**3/6 + 10*v**2 + 1448*v. Determine d(6).
-58
Suppose 0 = -c + 4*z + 14, 4*z = 74*c - 77*c - 6. Let o(n) = 5*n**3 - 4*n - 1. What is o(c)?
31
Let v(i) = 31*i + 27*i - i**2 - 60*i + 0*i**2 + 1. Let g(l) = -2*l + 23. Let u be g(10). Suppose 0 = u*h - 4 + 10. Determine v(h).
1
Suppose 10*x = -85 - 15. Let r be -2 + x - (-8 + 3). Let m(c) = -c - 5. Give m(r).
2
Let x be (6/(-9))/((-4)/(-4))*-111. Let g = x + -72. Let d(y) = 4*y - 1. Determine d(g).
7
Suppose 6*l = 11*l - 205. Suppose 0 = -6*x + 53 - l. Let y(i) = 3*i - 2. Let k(t) = 3*t - 2. Let a(r) = -5*k(r) + 4*y(r). What is a(x)?
-4
Let t(c) = -c**2 - 2*c + 1. Let f be t(-3). Let y(k) = k + 0*k - 2*k - 2*k + 7. Let w(j) = 8*j - 20. Let z(s) = -6*w(s) - 17*y(s). Calculate z(f).
-5
Suppose -2*i + 60 = 5*u, 0*u + 2*i = -2*u + 30. Let c(r) be the first derivative of -r**4/4 + 11*r**3/3 - 4*r**2 - 10*r + 964. Calculate c(u).
10
Let m(r) = -2*r + r**3 - 143351*r**2 - 33 + 71663*r**2 + 71665*r**2. What is m(23)?
-79
Let d be -4*(6/3 + -3). Suppose 0 = d*x + 15 - 39. Let n(i) = x*i**2 - 2*i + i + 0*i + 0*i. Calculate n(-1).
7
Let y(i) be the first derivative of -i**4/24 - 8*i**3/3 - i**2 + 4*i - 41. Let c(x) be the second derivative of y(x). Give c(-11).
-5
Let k(d) be the second derivative of d**4/3 - d**3/6 + 101*d. Determine k(1).
3
Let f(s) be the first derivative of 115 - 1/2*s**2 + s - 1/4*s**4 + 2*s**3. Calculate f(6).
-5
Let n(d) = -20*d + 4. Let g(x) = -3*x. Let p(z) = -6*g(z) + n(z). Suppose 4*o + 20 = 9*o. Suppose o*i - 33 = -1. What is p(i)?
-12
Let a(q) be the first derivative of -2*q**2 - 22*q + q + 17*q - 41. What is a(-5)?
16
Suppose -69*i - 2*s - 7 = -70*i, 0 = 4*i - 3*s - 8. Let d(f) = -3*f**3 + 2*f**2 + 3*f + 2. Give d(i).
4
Let b(i) be the second derivative of 7/120*i**5 + 0 + i**2 + 12*i + 7/6*i**3 + 1/24*i**4. Let f(t) be the second derivative of b(t). Give f(3).
22
Let j(h) = h**2 + h - 3. Let s be j(0). Let r(l) = -l - 1. Let a be r(s). Let d(o) = -1. Let i(w) = w**2 - 4*w - 4. Let z(u) = -5*d(u) + i(u). Calculate z(a).
-3
Let b(c) = -3*c**2 - 13*c + 4. Let w(j) = -16*j**2 - 186*j + 66. Let s be w(-12). Give b(s).
-26
Suppose -3*z = 4*s - 83, 0 = -2*s - 3*z - z + 44. Let h(g) = -21 + 20 + 19*g - s*g. Calculate h(3).
-4
Let h(x) = -2*x + 58. Suppose 10 = 5*j, 2*q - 113*j = -118*j + 62. Calculate h(q).
6
Let m(v) = -174*v + 183. Let k be m(1). Let w(g) = g**2 - 5*g - 31. What is w(k)?
5
Let z(c) = -4 - 10*c**2 + 31*c - 2*c**2 + 15*c**2 + 11*c**3 - 33*c. Determine z(-2).
-76
Let u = 123 + -84. Suppose 4*i - 25 - 50 = -3*s, 2*i - u = -s. Let h(v) = -19*v - i*v + 41*v - 2. What is h(2)?
0
Let f = 5 - 3. Let t(n) = -3*n**3 - 7*n**f + 4*n**3 + 4 - 8. Suppose 52*s - 385 = -5*s + 2*s. Determine t(s).
-4
Let x = 55 - 24. Suppose -k + h - 4 = -1, 3*k = -5*h + x. Let b(t) be the third derivative of t**5/20 + t**3/3 + t**2. Give b(k).
14
Let g(y) = y - 6. Let l = 11 + -7. Suppose -720 = -198*w + 18*w. Suppose -3*o + 11 = w*p, l*p = 3*o + 4 - 23. What is g(o)?
-1
Let l(n) = 4*n**3 - n. Suppose 0 = o + d - 150 + 47, 3*o - 302 = 4*d. Suppose 2*u = -0*u + o. Suppose 0 = -48*g + u*g + 3. Determine l(g).
-3
Let o(x) = -8 + 6*x + 23 - 9*x. Suppose 0 = -156*d + 16*d + 436 + 544. Give o(d).
-6
Suppose 2*t + 2*t - 272 = 0. Suppose -2*c + 4*u - t = -5*c, -3*c + 58 = -u. Let s be 30/c*(-8)/3. Let v(b) = b**3 + 4*b**2 - b + 4. Calculate v(s).
8
Let k = 403441/120 - 3362. Let o(t) be the third derivative of 0*t - 1/6*t**3 + 0 - 12*t**2 + 0*t**4 + k*t**6 + 0*t**5. Calculate o(-2).
-9
Let v(q) = -4*q**2 + 2*q - 8. Let g be v(0). Let x(n) = 0 - 61*n + 68*n + 10. Give x(g).
-46
Let k(u) = u**2 - 2*u - 11. Let p be 3699/685*2/3 + (-4)/(-10). Give k(p).
-3
Let j(w) = -w - 1. Let f be (-424)/(-6) - ((-7)/3 - -3). Suppose -9*a = -2*a + f. Let v(c) = -c - 4. Let h be v(a). Determine j(h).
-7
Let y be (-2 - 45/(-25)) + (-344)/(-20). Let z(r) = -y*r**2 - 5 + 5*r + 18*r**2 + r**3 + 8*r**2. Determine z(-8).
19
Suppose 42*c - 12*c = 4*c - 0*c. Let b(z) = 11*z - 61. Let q(r) = 5*r - 30. Let y(x) = 4*b(x) - 9*q(x). Calculate y(c).
26
Let m(x) be the third derivative of -x**4/3 - 4*x**3 - 19*x**2 + 1. Give m(-3).
0
Let f(y) = -8*y - 2. Let d(u) = -13*u - 1. Let t(l) = -11*l. Let q(g) = -5*d(g) + 4*t(g). Let c(x) = 8*f(x) + 3*q(x). Give c(-2).
1
Let d(c) = -44*c - 28. Suppose 2*p = 11 - 67. Let f(j) = -3*j - 2. Let t(w) = p*f(w) + 2*d(w). Determine t(3).
-12
Suppose 0*x = 4*x - 20. Let o(w) = 7*w + w**3 + 9 - 4*w + x*w + 8*w**2. Suppose -559*y = -525*y + 238. Calculate o(y).
2
Let j(m) = 8*m**3 + 4*m**2 - 7*m - 4. Let z(u) = -13*u**3 - 6*u**2 + 12*u + 7. Let b(d) = 5*j(d) + 3*z(d). Calculate b(-3).
-11
Let q(w) be the first derivative of w**2 + 53*w + 608. What is q(-20)?
13
Let i(b) = -68*b - 199. Let p(x) = -47*x - 132. Let r(w) = 5*i(w) - 7*p(w). Calculate r(-6).
-5
Let s(g) be the second derivative of -g**5/20 + g**4/4 + g**3 - 7*g**2/2 + g. Let f be (-9)/(-36) - 6015/(-1604). What is s(f)?
1
Let b(i) = -8*i**3 - 25*i**2 - 10*i - 15. Let c(u) = -9*u**3 - 26*u**2 - 10*u - 16. Let k(m) = -7*b(m) + 6*c(m). Give k(-9).
0
Let x(d) be the second derivative of 2*d + 3 + 0*d**2 + 1/12*d**4 - 2/3*d**3. What is x(3)?
-3
Let s(h) be the second derivative of -h**3/6 - 7*h**2/2 - h - 10288. Let t = -6 - -2. Determine s(t).
-3
Suppose -4*c - 270 = 42. Let t be c/9*(-12)/(-8). Let a = 19 + t. Let h(d) = -d + 3. What is h(a)?
-3
Let i(r) be the third derivative of r**4/8 - 31*r**3/6 - 317*r**2 - 2*r. Give i(-19).
-88
Let r = -194 - -209. Let v(w) = 10*w**3 - 1 + 2*w + 0*w - 8*w - 11*w**3 - 8*w - r*w**2. Determine v(-14).
-1
Let f(s) = 12827*s + 9 - 12816*s + 19 - s**2. Determine f(9).
46
Let a(w) = w**2 - 11*w + 22. Let j = 58 + -49. Let g be a(j). Let i(r) = -1159*r + g + 1160*r - 4 - 3. Determine i(-8).
-11
Let g(z) = 6*z**2 - 72*z + 15. Suppose -5*q + 25 = 0, -3*o - q = -6*o + 31. What is g(o)?
15
Let w(s) = 23*s + 2. Let c(x) = -42*x + 1. Let o(f) = 6*c(f)
|
{
"pile_set_name": "DM Mathematics"
}
|
erivative of -w**3/6 - 2*w**2 + 134*w - 1. Let p(i) = -1. Calculate 2*o(y) - 4*p(y).
-2*y - 4
Let o(u) = 17 - 20 - 2*u**2 + 0*u - 3*u + 9. Let j(k) be the first derivative of -k**3/3 - k**2/2 + 2*k - 3. Determine -8*j(q) + 3*o(q).
2*q**2 - q + 2
Let t(r) = r**2 - 2. Let x(i) = i**2 - 3*i + 4. Let f be x(3). Let v(a) = 2*a**2 - 5. Suppose 6*b + 60 = -0*b. Give b*t(o) + f*v(o).
-2*o**2
Suppose -2 = 4*m - 2*t, -4*m - t + 0*t - 11 = 0. Let x(u) = -1. Let c(s) = -2*s**2 - 3*s - 1. Determine m*x(g) + c(g).
-2*g**2 - 3*g + 1
Suppose -3*q = j + 7, j + 0*q = -q - 1. Let a(l) = 53 - 25 - 25. Let d(f) = f + 2. What is j*a(h) - 3*d(h)?
-3*h
Let a(n) = -83*n - 13. Let y(c) = -166*c - 29. Give 9*a(j) - 4*y(j).
-83*j - 1
Suppose 4*x + 0*f - 24 = 2*f, 4*f = x - 6. Let w(z) = -z. Let v(i) = -2*i - 5. Let d(s) = s + 4. Let b(o) = 4*d(o) + 3*v(o). Calculate x*w(j) - 2*b(j).
-2*j - 2
Let w(l) = 11*l - 6. Let d(y) = 9*y - 5. Let a(c) = 6*d(c) - 5*w(c). Let i(v) = -438 + 4*v + 224 + 213. Give -6*a(f) - i(f).
2*f + 1
Let k(o) = -2*o + 2. Let u be 9/6*(1 + -2 - 1). Let w(d) = -d**2 + 2*d - 3. Calculate u*k(q) - 2*w(q).
2*q**2 + 2*q
Let j(q) = 18*q**3 - 2*q**2 + 7. Let f(p) = -6*p**3 + p**2 - 2. Suppose -189*d + 185*d - 8 = 0. What is d*j(n) - 7*f(n)?
6*n**3 - 3*n**2
Let v(r) = 3*r + 6. Let t(c) = -6*c - 11. Let l(k) = 11 - 11 + k + 14. Let x be l(-8). Give x*t(f) + 11*v(f).
-3*f
Let p(y) = y - 5. Suppose -5*r = -t - 11, -2*r - 3*t + 24 = 2*r. Let x(g) = 3. What is r*p(z) + 5*x(z)?
3*z
Let o(h) = -4*h**3 + 3*h - 14. Let p(v) = 4*v**3 - 3*v + 13. Determine 5*o(b) + 6*p(b).
4*b**3 - 3*b + 8
Let x(u) be the third derivative of 11*u**5/60 - u**4/12 - u**3/3 + 12*u**2 + 12. Let v(m) = 780*m**2 - 143*m - 143. What is -2*v(l) + 143*x(l)?
13*l**2
Let o = 10 + -8. Let n(a) = -a**2 - a + 1. Let j(c) be the first derivative of -c**4/4 - 2*c**3/3 + 3*c + 5. What is o*n(u) - j(u)?
u**3 - 2*u - 1
Let u(x) = -4*x**2 + 5*x - 5. Let b(j) = j**2. Let i(w) = -25*w**2 + 24*w - 24. Suppose -6*r - 13 = -7. Let a(m) = r*i(m) - 5*b(m). What is 5*a(h) + 24*u(h)?
4*h**2
Suppose a = -1 + 4. Let r(m) = 1 - m + a + m + 7*m. Let u be 16/(-12)*9/3. Let p(c) = 36*c + 21. What is u*p(x) + 21*r(x)?
3*x
Let a(s) = s - 6 + 2 + s. Let l(b) = -3*b + 3. Let r be (5/3)/((-15)/(-45)). Let o(v) = 7*v - 6. Let w(c) = r*l(c) + 2*o(c). Calculate -3*a(i) - 4*w(i).
-2*i
Let o(y) = -112*y**2 + 98. Let j(i) = i**2 - 1. What is -490*j(v) - 5*o(v)?
70*v**2
Let s(j) = 3*j. Let v(q) = -4*q. Suppose 2*w + 19*r - 23*r - 20 = 0, -3*w - r + 2 = 0. What is w*v(o) + 3*s(o)?
o
Let r(v) = -2*v**3 - 3*v**2 - 2 - 4*v**2 - 5*v**3 - 6*v. Let j = 204 + -221. Let s(b) = -20*b**3 - 20*b**2 - 17*b - 6. Determine j*r(l) + 6*s(l).
-l**3 - l**2 - 2
Let s(j) = -25*j**3 + 3*j**2 + 3*j**2 - 6*j**2 + 17*j - 17. Let f(r) be the first derivative of 3*r**4/4 - r**2 + 2*r + 80. Give 51*f(v) + 6*s(v).
3*v**3
Let s be (-1)/4 - 513/(-228). Let x(w) = -3*w + 1. Let i(l) = 4*l. Give s*x(m) + 3*i(m).
6*m + 2
Let d(b) = 7*b**2 - 20*b - 6. Let s(o) = -13*o**2 + 41*o + 10. Determine 5*d(m) + 3*s(m).
-4*m**2 + 23*m
Let r(i) = 3*i**3 - 4*i**2 - 2*i + 1. Let q(y) = 6*y**3 - 9*y**2 - 5*y + 2. Suppose -16*g - 52 - 12 = 0. Calculate g*q(v) + 9*r(v).
3*v**3 + 2*v + 1
Let t(k) = 25*k + 5. Let w(u) = -5*u - 1. Let z(x) = -2*t(x) - 11*w(x). Let g(p) = 9*p + 2. Give 3*g(n) - 5*z(n).
2*n + 1
Let b(r) be the first derivative of 3*r**2/2 - 6*r + 433. Suppose -3*v = -25 + 7. Let m(x) = x + 2*x - 6 - 1. Determine v*m(j) - 7*b(j).
-3*j
Let c(k) = k**2 - 42*k - 185. Let l be c(-4). Let u(a) = -4*a**3 + 2*a**2 + a. Let y(v) = v**3 - v**2. Calculate l*u(n) - 3*y(n).
n**3 + n**2 - n
Let i(h) = 2*h + 2. Let q(r) = -7*r + 112. Give -4*i(g) - q(g).
-g - 120
Let g(j) = -13*j - 5. Let z(s) = 20*s + 8. Let v be 1 - (-3 - -2) - 220/22. Determine v*g(b) - 5*z(b).
4*b
Let b(f) = -f + 6. Let q(m) = -1. Suppose -87*x + 25 = -62*x. Suppose 0 = 2*i - 0*i - 12. Determine i*q(w) + x*b(w).
-w
Let b(o) = 29*o**3 - 10*o**2 - o - 5. Let g(m) = m**3 - 2*m**2 - 1. Determine -b(h) + 5*g(h).
-24*h**3 + h
Let c be ((-2)/(-5))/(-3 - 48/(-15)). Let v = 2 + 0. Let i(z) = 1 + 3*z**3 + 0*z**v + c*z**2 - 4*z**3. Let f(t) = t**3 - 3*t**2 - 1. Give -3*f(b) - 5*i(b).
2*b**3 - b**2 - 2
Let q(k) = -11*k**3 + k**2 - 3*k - 6. Let h(n) = -12*n**3 - 4*n - 7. Determine -3*h(r) + 4*q(r).
-8*r**3 + 4*r**2 - 3
Let k(g) = 58*g + 56*g - 108*g + 21 + 5. Let v(j) be the second derivative of -j**3/6 - 5*j**2/2 + 2*j. Give -2*k(b) - 11*v(b).
-b + 3
Let f(n) = -6*n**2 + 0*n**3 - 6*n**2 + 11*n**3 + 20*n - 5*n**2 - 4*n**3. Let g(j) = -2*j**3 + 6*j**2 - 7*j. What is -6*f(c) - 17*g(c)?
-8*c**3 - c
Let k(b) = -6*b**3 + b**2 + b. Let z(m) = m**2. What is -k(s) - 6*z(s)?
6*s**3 - 7*s**2 - s
Let a(c) = 2*c**2 + 23*c - 9. Let i(p) = 6*p**2 + 68*p - 26. What is -17*a(f) + 6*i(f)?
2*f**2 + 17*f - 3
Let a(f) = 5*f**3 + 8*f**2 + 31*f + 1. Let v(w) = 4*w**3 + 7*w**2 + 31*w + 2. Determine -5*a(r) + 6*v(r).
-r**3 + 2*r**2 + 31*r + 7
Let u(d) = 4*d + 5. Let v(w) = -19*w - 3. Let r(g) = -12*g - 2. Let h(j) = -8*r(j) + 5*v(j). What is -3*h(o) + u(o)?
o + 2
Let w(j) = j**3 - 3*j**3 + j**3 - j**2 - 3. Let r = 14 - 11. Suppose 4*x + 2 = r*x. Let l(k) = -1. Give x*w(y) + 6*l(y).
2*y**3 + 2*y**2
Let p be 5 - ((0 + 4 - 8) + 4). Let f(j) = 41*j**3 - 8*j**2 + 8*j + 8. Let b(z) = 27*z**3 - 5*z**2 + 5*z + 5. Calculate p*f(n) - 8*b(n).
-11*n**3
Let h(x) = -x**3 + 2*x**2 + 6*x - 7. Let k be h(3). Let o(l) = 2*l + 2*l + k*l. Let a = 4 - 8. Let n(i) = -i. Give a*n(s) - o(s).
-2*s
Let m(u) be the second derivative of -u**4/12 - u**3/6 + 73*u. Let f(b) = b**3 + 4*b**2 + 9*b. Calculate -f(n) - 4*m(n).
-n**3 - 5*n
Let y(r) = r**3 + r**2 + r - 6. Let p(u) = -3*u**3 - 3*u**2 - 3*u + 17. Let t(d) = 4*d - 14. Let l be t(2). Give l*p(j) - 17*y(j).
j**3 + j**2 + j
Let m(g) be the second derivative of -g**4/12 + 9*g**2/2 + 2*g + 21. Let f(z) = -2*z**2 + 22. Suppose 40 = -5*b + 15. What is b*f(q) + 12*m(q)?
-2*q**2 - 2
Let d = 8 + -41. Let l(w) = w**2 - 3*w - 60. Let c be l(-6). Let x be c/d + (-24)/11. Let i(q) = q - 3. Let r(k) = 4*k - 13. Determine x*r(f) + 9*i(f).
f - 1
Let s(z) = 4*z**2 - z**2 - z + 2*z**2 - 4*z**2 + 2. Suppose -n - 159 = -5*y - 183, -2*n + 8 = -2*y. Let b(c) = -c**2 - c + 1. Give n*b(k) + s(k).
2*k**2 + 1
Let k(r) = -3*r - 7. Let f be (-1)/((-3)/(-3*1)). Let o be 2*((-27)/6 - f). Let z(v) be the first derivative of -2*v**2 - 10*v - 152. Give o*k(h) + 5*z(h).
h - 1
Let o = 28 + -21. Suppose -o*v = 42 - 0. Let t(h) = -h**2 + h + 1. Let b(k) = 4*k**2 - 3*k - 4. Give v*t(c) - 2*b(c).
-2*c**2 + 2
Suppose 0 = 2*q - 11 + 29. Let t(h) = 4*h - 3. Let j(r) be the third derivative of r**4/24 - r**3/6 - r**2. Determine q*j(b) + 2*t(b).
-b + 3
Let r(o) = 14*o**2 - 10*o + 7. Let b(f) = -16*f**2 + 11*f - 7. Give -6*b(n) - 7*r(n).
-2*n**2 + 4*n - 7
Let p(m) = 2*m**2 + 2*m + 1. Let h = 1 - 2. Let q(i) = 0 - 1 + 0. Suppose 26 = -15*f + 11. Calculate f*q(v) + h*p(v).
-2*v**2 - 2*v
Suppose 5*t - t - 12 = 0. Suppose 3*q + 2*f = -t*f + 5, -5*f = 4*q - 10. Let b(h) = -11*h. Let p(s) = -16*s. Give q*p(z) - 7*b(z).
-3*z
Let z(w) = -2*w**2 + 3*w + 3. Suppose 0 = 76*n - 83*n + 140. Let f(x) = 15*x**2 - 23*x - n + 2*x + x. Determine 3*f(a) + 20*z(a).
5*a**2
Let s be (6 + -3 + 1)/2. Let f(l) be the third derivative of l**6/40 + 5*l**4/24 + 2*l**3/3 - 15*l**2. Let y(b) = -b**3 - 2*b - 2. What is s*f(z) + 5*y(z)?
z**3 - 2
Let m(s) = -165*s**2 + 2*s - 10. Let w(j) = -165*j**2 + 2*j - 12. Calculate -6*m(x) + 5*w(x).
165*x**2 - 2*x
Suppose 2 = -t - 5*m, -t + 96 = -5*t + 2*m. Let i = t - -23. Let g(c) = -1. Let k(x) = -x + 3. Calculate i*k(w) + 3*g(w).
-w
Let b(v) = 3*v**2 + 7396*v**3 - 3693*v**3 - 3702*v**3 - 2*v. Let k(w) = -w**3 - 2*w**2 + 2*w. Let f = 11 - 8. Determine f*k(c) + 2*b(c).
-c**3 + 2*c
Let n(p) = p + 2. Let w(y) = -9*y - 15. Let v(a) = -6*a - 10. Let z(f) = -7*v(f) + 5*w(f). Let b = 1289 - 1291. Calculate b*z(l) - 5*n(l).
l
Let m(d) = -43*d + 13. Let o(t) = -88*t + 29. Give 7*m(a) - 3*o(a).
-37*a + 4
Let g(n) = -n - 1. Let i(q) = 8*q + 7. Suppose 15 = -4*c - 1. Let l(s) = -s**3 - 4*s**2 + s + 1. Let w be l(c). Determine w*i(y) - 21*g(y).
-3*y
Let y(l) = -2*l + 4. Let r(n) = n - 1. Let q(k) = -k**3 + 4*k**2 + k - 8. Suppose -5*p + 4 = w, 5*w - 1 = 3*p + 19. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
e -4*b + 20 = -m*b. What is the units digit of b?
0
Let s(b) = -b**3 - 5*b**2 - 5*b + 2. Let h be s(-5). Suppose h*f - 23*f - 148 = 0. What is the units digit of f?
7
Suppose -f - 168 = -5*f. What is the units digit of f?
2
Suppose 4*s = 3*s. Suppose 6 = 3*g - s. What is the tens digit of 18/(3/(-6) + g)?
1
Let s be (-4)/5*(-30)/4. Let j = s - 4. Suppose -4 = -p - j. What is the units digit of p?
2
Suppose 9 = -2*l - 5*h, -l + 3*h = -0*l - 23. Let d = l - 5. Suppose -5*n + 2 = -d. What is the units digit of n?
1
Let z = 102 + -75. What is the tens digit of z?
2
Let k(n) = -n - 2 + 2. Let t = 13 + -14. What is the units digit of k(t)?
1
Let t(y) = 45*y + 4. What is the units digit of t(6)?
4
What is the units digit of ((-212)/(-5) - -2)*(-4 - -9)?
2
Let x be 3/2 + (-3)/2. Suppose 5*f + 3*b - 50 = x, f - 3 = 2*f - 2*b. Suppose -5 = -o - u, -o = -2*o + 2*u - f. What is the units digit of o?
1
Let w(s) be the second derivative of -s**5/20 + s**4/3 + s**3/3 - 2*s**2 - 4*s. What is the units digit of w(4)?
4
Let z(b) = -b**3 - 3*b**2 + b - 2. Suppose -10 = 2*s - 2. What is the units digit of z(s)?
0
Let a = -13 - -18. What is the units digit of a?
5
Let q(j) = -3*j**3 + 23*j**2 + 9*j - 14. Let i(s) = s**3 - 8*s**2 - 3*s + 5. Let a(n) = 17*i(n) + 6*q(n). What is the units digit of a(3)?
1
Let p be (8/6)/((-2)/(-6)). Suppose p*q = -5*b + 127, b + 31 = 2*b - 2*q. Let u = b + -18. What is the units digit of u?
9
Let w(m) = -m**2 - 7*m. Let t be w(-6). Let s = 31 - t. What is the units digit of s?
5
Let y be (-3)/(-2)*8/6. Let f be 2 + (-1)/(-1*1). Suppose f = y*i - 1. What is the units digit of i?
2
Let x = -181 - -302. What is the units digit of x?
1
Let f = -43 + 83. Suppose 0*y + y - f = 0. Suppose 4*p - y = -5*u - 0*p, -u - p + 7 = 0. What is the units digit of u?
2
Suppose 3*q = 8 - 2. Suppose -q*i = 2*d + 2*d - 42, 25 = -5*i. What is the units digit of d?
3
Suppose -39*l + 36*l + 699 = 0. What is the tens digit of l?
3
What is the units digit of 1206/8 - (-1)/4?
1
Let v be 2/(3*(-3)/(-18)). Suppose f + 13 = -5*j, -j - v*j = 5*f + 25. What is the units digit of (f/((-6)/(-52)))/(-2)?
3
Let g = 12 + 24. What is the tens digit of g?
3
Suppose -2*g + 2*b + 112 = 0, -3*g + 3*b - 5*b = -193. What is the tens digit of g?
6
Suppose -3*x - 2*x + 20 = 0. Suppose q = -x*q - 10. What is the tens digit of (36/6)/(q/(-4))?
1
Let h(t) be the second derivative of 17*t**3/6 - t**2/2 + 9*t. Let y be 2/(-2)*3/(-3). What is the tens digit of h(y)?
1
Let s = -3 + 4. What is the units digit of s*(-2)/(-1)*3?
6
Suppose 2*i - 4*m = -9*m + 7, -21 = -3*i - 4*m. What is the tens digit of i?
1
Suppose -k = -62 - 3. What is the units digit of k?
5
What is the tens digit of (-7)/(-1*4/12)?
2
Let q be -1 - (-16)/(0 - -1). Suppose 0 = -2*h + q + 5. What is the tens digit of h?
1
Let w = -22 + 46. Let b = 18 + w. Let t = -30 + b. What is the units digit of t?
2
Let s be (-1)/3 - (-10)/(-6). Let z(b) be the first derivative of -2*b**2 - 3*b - 3. What is the units digit of z(s)?
5
Let g be 2/((-8)/(-6))*-6. Let z = -5 - g. Suppose 0 = -z*m - 3*b + 13, -b - b - 3 = m. What is the units digit of m?
7
Let j be 10/(-8)*(-1 - 7). Suppose -s = -6*s + j. What is the units digit of s?
2
Suppose j = 6*j - 25, 2*k + 4*j - 190 = 0. What is the tens digit of k?
8
Suppose -2*t = -5*h + t + 1137, 0 = -h - 2*t + 217. What is the tens digit of h?
2
Let z be 7/((-28)/8) - -22. What is the units digit of z/15*81/6?
8
Let v be (-40 - 1)*(0 + -1). Let a = -3 + v. What is the units digit of a?
8
Suppose 0 = 2*a - 0*a - 4, -2*w + 3*a = 0. Suppose -n = -h + 9, -32 = -4*h - w*n + 32. What is the tens digit of h?
1
Suppose 2*v - 6 = -2*c - 0*v, -2*v - 12 = -c. Suppose 8*i - 6*i = c. What is the units digit of i?
3
Let q = 6 - 3. Suppose 14 = -q*v - 4. Let a = v - -10. What is the units digit of a?
4
Let r(m) = -15*m - 6. What is the units digit of r(-2)?
4
What is the units digit of 18/(-10)*(-14 + 4)?
8
What is the tens digit of 3/18 - 539/(-42)?
1
Let g = -132 + 222. What is the tens digit of g?
9
Let y(n) = n**2 - 11*n - 15. Let t(s) = -13*s**3 - s**2 + 1. Let p be t(-1). What is the units digit of y(p)?
1
Let g(q) = 8*q - 1. Let h be g(-1). Let d = -3 - h. What is the units digit of d?
6
Let m(d) = -d + 6. Let y be m(4). Let v be y*1/(-4)*-10. Suppose -v*h + 14 + 16 = 0. What is the units digit of h?
6
Let k(q) = -1 + 9*q + 3 - q**2 - 11. Suppose -4*l + 16 = -8. What is the units digit of k(l)?
9
Let g = 8 - 6. What is the units digit of 43*-1*g/(-2)?
3
Suppose -5*j + 172 = -33. Suppose 4*m - 19 - j = 0. What is the units digit of m?
5
Suppose -n - 6 - 19 = 0. Let c be (-45)/n + 2/10. What is the units digit of (-17)/(-3) - c/(-6)?
6
Let u(d) = -d**3 - 9*d**2 - 9*d - 9. Let s be u(-8). Let q(y) = 1. Let z(l) = 2*l + 6. Let f(m) = s*z(m) - 8*q(m). What is the units digit of f(-10)?
6
Suppose 8*t + 16 = 10*t. What is the units digit of t?
8
Let r(x) = x - 12. Suppose -3*z + 21 = 3*y, 3*y - 23 = -3*z + 2*y. Let m be r(z). Let v = m + 13. What is the units digit of v?
9
Let r(l) = -18*l - 1 + 24*l - 2 - 2. What is the units digit of r(2)?
7
Let q(m) = m**2 - 6. Let v(a) = a**2 - 7*a - 5. Let r be v(7). Let i be q(r). Suppose p = -2*p + 2*d + 16, i = 3*p + d. What is the units digit of p?
6
What is the hundreds digit of (-2)/(-6)*(809 - 20)?
2
Suppose 5*b = -3*h + 47, -3*b + 3*h = -0*b - 33. What is the units digit of b?
0
Let a(z) = z**3 - z**2 - z + 2. Suppose 5*j = -r + 16, j + 3*r = -0*j + 6. What is the tens digit of a(j)?
1
Let n be ((-45)/4 + 4)*-4. Suppose n = 2*m - m. What is the tens digit of m?
2
Let k be (-6)/(-3)*(4 - -6). What is the units digit of ((-15)/k)/((-1)/48)?
6
Let o be -2 - (-2 + 3 + 3). Let z = 7 + o. Suppose 2*w - 7 = -z. What is the units digit of w?
3
Let f(m) = 17*m**2 - 4*m + 13. What is the tens digit of f(3)?
5
Let d(v) = v**2 - 2*v - 3. Let s be d(-2). Suppose 9*i - 4*i = 3*q + 39, s*q = -15. What is the units digit of i?
6
Suppose 2*n - y + 2*y + 39 = 0, -3*n = -3*y + 36. Let a = -11 - n. What is the units digit of a?
6
Suppose -5*i + 5*y + 45 = 0, 3*i - 27 = 5*y + 10. Suppose -3*f = 4*l - 93, 3*f - 3*l = -i*l + 102. Suppose -s + 6*s = f. What is the units digit of s?
7
Let n(z) = z**3 - 9*z**2 - 2*z + 9. Let w be n(9). Let i = w - -16. What is the units digit of i?
7
Let y = -67 - -128. Suppose 0 = 9*t - 14*t. Suppose -3*x - 16 + y = t. What is the units digit of x?
5
Let q = 21 - 15. Let w be 184/q + (-2)/3. Suppose 5*l + 4*p - 14 - 1 = 0, -5*l - p + w = 0. What is the units digit of l?
7
Let r(x) = -x**3 - 7*x**2 - 6*x + 6. Let z be r(-6). Suppose 3*k + 7 = 6*k + 2*s, -z = -3*s. What is the units digit of k?
1
Suppose -4*d = -5*d - 5*t + 55, 0 = -5*d - 2*t + 344. What is the tens digit of d?
7
Let o = 99 - 58. Let j = -20 + o. What is the units digit of j?
1
Let c(f) be the second derivative of -f**5/20 - f**4/3 - f**3/3 - 3*f**2 - f. Suppose 2*y - 3*p = -y, -4*p - 4 = -3*y. What is the units digit of c(y)?
2
Let b(c) = 6*c - 38. What is the units digit of b(7)?
4
Let g = 6 + -3. What is the units digit of 24/g + (0 - 2)?
6
Let b = -18 - -30. What is the tens digit of b?
1
Suppose 5*u + 3 = 3*l, -4*l - 3*u - 2 = -6. Let a(y) = -5 - l + 3*y - 13*y - y**2. What is the units digit of a(-9)?
3
Let n(v) = -v**3 + 11*v**2 - 4*v + 3. What is the tens digit of n(7)?
7
Let i(o) = -o - 11. Let w be i(-4). Let u(l) = -3*l + 5. What is the tens digit of u(w)?
2
Let t(p) = 5*p**2 + 9*p + 8. Let j(g) = g**2. Let x(l) = 4*j(l) - t(l). Let z be x(-7). Suppose -4*c = -c - z, -9 = -u - 2*c. What is the units digit of u?
5
What is the tens digit of (3 - (-1200)/5) + 2*2?
4
Suppose 0 = 2*s - 4*s. Let k(l) = -l**2 - l + 3. What is the units digit of k(s)?
3
Let a = -36 + 26. What is the units digit of (-2 + 3)/((-2)/a)?
5
Let t = 61 - 10. What is the tens digit of t?
5
Suppose -835 = -5*g - 3*q, 6*q + 530 = 3*g + 2*q. What is the hundreds digit of g?
1
Let a(n) = -n**3 - 7*n**2 + 9. Suppose 2*z - 68 = -2*z. Let v = 10 - z. What is the units digit of a(v)?
9
Suppose u = 6*u. Let n(k) = k**2 - 5*k + 6. Let m be n(4). Suppose g + m*g - 18 = u. What is the units digit of g?
6
Suppose 22*k = 26*k - 568. What is the units digit of k?
2
Let f = 40 - 10. What is the tens digit of f?
3
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
r**(-1318/37)
Simplify ((((d/((d/d**(1/17))/d))**27)**(-31/3))**(1/25))**(1/14) assuming d is positive.
d**(-2511/2975)
Simplify (c*c/c**(-1/3))/c**(-2/5)*c**(2/11)*c*c*c/(c*(c*c**6)/c)*c**(2/11)/c**(1/10)*(c**1)**48 assuming c is positive.
c**(15509/330)
Simplify (w**20/w)**(1/24)*w**17/((w*((w**7*w)/w)/w)/w*w) assuming w is positive.
w**(259/24)
Simplify ((c/c**2)**(2/123)*(c**2*c)**23)/(c**4/c**(3/4))**(-7/5) assuming c is positive.
c**(180893/2460)
Simplify ((s**3/((s*s*s**27)/s))/(s**30*s*s**(-37)*s))**(-1/29) assuming s is positive.
s**(20/29)
Simplify (i**2/i**(-1/4))**(-10/11)/(((i*i**(-6))/i**1)/(i**(-1/3))**(1/30)) assuming i is positive.
i**(1952/495)
Simplify ((b/(b/(b**(-13)/b))*b*b*(b/b**(-3))/b)/(b**(-5/2)/((b**(-13)*b)/b)))**(-1/31) assuming b is positive.
b**(39/62)
Simplify (d/(d/d**(-3)*d))/(d**(-2/11)*d)*d**(-6)*d*d**3*((d**(-2/5)*d)/d)**(-1/8)/(d**(-1/5)*d**(-3/2)) assuming d is positive.
d**(-223/44)
Simplify ((d/d**9*d/((d*d*d**(-1))/d))/(d**(-4)/d)**(-6/13))**(2/13) assuming d is positive.
d**(-242/169)
Simplify (((i*(i*i*(i*i**4*i)/i)/i*i)/i)**26/((i/(i*i*i**7*i)*i)/i*i*i*i**(-1/3)*i))**(1/40) assuming i is positive.
i**(113/24)
Simplify ((((g*(g*g**(1/4)*g*g*g)/g)/g)/g*g**3*g*g/(g**6/g)*g**(-2/5))**(-6/5))**46 assuming g is positive.
g**(-2553/25)
Simplify ((a**(-1/9)/(((a/(a*a**7))/a)/a*a))/(a*a**(2/9))**(3/35))**(-6/11) assuming a is positive.
a**(-4904/1155)
Simplify (y**4/y*y*y**(-9)*y)/((y**(-1)/y*y)/(y*y/(y/(y/(y/y**(-2))))*y*y*y))*y*y**(2/11)*y**(-1/4)/y*((y**(2/7)*y)/y)**(10/7) assuming y is positive.
y**(-1423/2156)
Simplify ((g*(g*g**0)/g)**34)**42*(g**(-2/17)*g/(g*g*(g/(g**(-3)*g*g))/g*g))/(g*(g**(-2/5)/g)/g)**15 assuming g is positive.
g**(24580/17)
Simplify (l/l**(-1)*l*l*l*l**7)**(5/7)*(l/((l*l**(1/6)*l)/l)*(l/l**(-1/5))/l)**(-34) assuming l is positive.
l**(781/105)
Simplify ((a**(-1/8)/a**(-2/5)*(a*a/(a/(a**0/a))*a)**(-7/3))**(-6/11))**(2/31) assuming a is positive.
a**(247/3410)
Simplify ((y**5*y)/y**(-1))/(y/(y/(y*y/y**(2/5))))**(26/7)*((y/(y*y*y*y**(-1/4)*y))/y*y*y*y**(-1/8))/(y**(3/5)/(y**(-3)*y)) assuming y is positive.
y**(-957/280)
Simplify ((c*(c**3*c)/c)**(1/71)/(c**(-13)/(c/(((c*c/c**(1/7))/c)/c))))**4 assuming c is positive.
c**(28228/497)
Simplify (((h**(-3)*h)/h*h)/(h/h**(4/9)))**50/((h*(h**0*h)/h)**(-26))**47 assuming h is positive.
h**(9848/9)
Simplify ((w/(w/w**1))/w)**33/(w**5/(w*w*w/((w/(w*w**(4/3))*w)/w*w)*w))*(w**3*w**(1/3))**(8/5) assuming w is positive.
w**(14/3)
Simplify (n**(1/2)/n*n)**(-35)*(n**1)**(-4)*(n**(-1))**(-5/7)*((n*n/n**1)/n)**15 assuming n is positive.
n**(-291/14)
Simplify (l/l**(-16/3)*l)**(-32/5)*(l*l**(6/19))/l*l*l**43 assuming l is positive.
l**(-746/285)
Simplify ((p*p**(-3))/(p**(2/9)/p))/(p**(-2/11)*p*p/(p**(3/4)*p))*p*p/p**2*p*p*p**(3/2)/p*(p**(2/3)*p*p)**(-1/11) assuming p is positive.
p**(383/396)
Simplify (a**(-3/5)*(a/(a*a**(2/9)))/a)/(a**(1/5)*a**(3/7))*(a/a**(1/2))/a*a*a**(1/4)*a**3/a*a*a/(a*(a**6*a*a)/a)*a assuming a is positive.
a**(-5923/1260)
Simplify (a**(1/5)*a)/a**(-3)*a/(a**(1/2)/a)*a**(-5)*(a**(4/3)*a/a**(-1/8)*a)**(-2/179) assuming a is positive.
a**(7103/10740)
Simplify ((((p**(-5/3))**15)**(-7/11))**6)**(-16/5) assuming p is positive.
p**(-3360/11)
Simplify (h**(-2)*h**(-1/10))/(h*h**1*h*h)**(-21)*h**(-7)*(h*h*h**(-1/3))/h*h**7/(h*h**(-4)) assuming h is positive.
h**(2567/30)
Simplify (x**(-3)*x*x**(1/3)*x)**37*((x*x/(x*x**(-2/13)))/(x*x**(-3/2)))/(x*x/(x*x/(x**2*x)*x*x)*x*x*x**3) assuming x is positive.
x**(-2263/78)
Simplify (j*(j**(1/2)*j)/j*j**(-6))/(j**(-1)/(j*(j*((j/(j*j/(j*j**(2/15)*j)*j))/j)/j*j)/j))*(j*j**(-2/7))**(-2/17)/(j/j**(1/7)*j/j**1) assuming j is positive.
j**(-2197/510)
Simplify ((q/(q*q**(-1/5))*q)**27)**(1/31)/((q**(-2/5))**(-8/7)/((q*q**5)/(((q*q**0)/q)/q))) assuming q is positive.
q**(8233/1085)
Simplify (t**(-2/7))**(41/2)/((t*(t/(t*t*t*(t/t**(2/13))/t*t))/t)/t**4)*(t**(-3/2)/(t*t*t**(4/5)))**(-38) assuming t is positive.
t**(74797/455)
Simplify ((n**(-2/5)/(n**2/n))/(n**(-2)*n**5))/(n**(1/5)/(n*n**(2/7)*n*n)*((n**(2/7)/n)/n)**43) assuming n is positive.
n**(362/5)
Simplify (l**(-2/3))**29/((l**(-3/7)/l)/(l/(l*l*l**(-2/9)*l)))*((l/((l*l/l**(2/13))/l*l)*l)/l**(-5))/(l**(1/3))**10 assuming l is positive.
l**(-14629/819)
Simplify (((s/(s*s**(-1/17)))/s)**(-32)/(s**(3/2)*s)**(-13))**42 assuming s is positive.
s**(44709/17)
Simplify (w**(-4))**(-10/13)/((w**(2/21)/w)/(w/((w/(w/(w/w**(-2/35))*w))/w))) assuming w is positive.
w**(8087/1365)
Simplify (k/(((k**3/k*k)/k)/k)*k/k**(-3)*(k/k**(-1))**(7/5))**(-1/17) assuming k is positive.
k**(-2/5)
Simplify ((q*q/(q*q**31)*q)/q)**2*(q*q**(-35/4)/q)/(q/(q**(-8/13)/q)) assuming q is positive.
q**(-3711/52)
Simplify ((r**(-5/6)*r*r**(-1/16))/(r*r/(r*((r**(-9)*r)/r)/r*r*r)*(r**(2/5)*r)/r))**(-4) assuming r is positive.
r**(2231/60)
Simplify ((f/(f/(f/f**(-2/21))))/f*f*(f/((f*f**(2/149)*f*f*f)/f*f))/f)/(f**(-10/7)/f)**(-3) assuming f is positive.
f**(-31928/3129)
Simplify (((t*t**(-2/59))/(t/t**(2/13)))/(t**(5/6))**(-3))**(-37) assuming t is positive.
t**(-148703/1534)
Simplify (j**38/(j/(j/j**(2/7)))*(j**(-12/7)/j)**(2/21))**17 assuming j is positive.
j**(93602/147)
Simplify (f**(-2/5))**1*f**0/(f/f**(-6)*f)*(f**(1/2)*f/(f*f*f**(-1/11)*f*f))**48 assuming f is positive.
f**(-6822/55)
Simplify (n/(n*n/(n/n**(-4))*n)*n*n*n/(n**(-2)/n*n))**(-7/2)*((n**(2/19)*n)/((n*(n**(-2)/n)/n)/n))**(-42) assuming n is positive.
n**(-4606/19)
Simplify (h**(2/9)/((h/(h*((h*(h**(-8)/h*h)/h)/h*h)/h))/h))**(-44)*(h**6*h**7/h)/((h/(((h/h**6)/h)/h))/(h**(-5)/h)) assuming h is positive.
h**(3062/9)
Simplify (v/(v*v**(8/5))*v**(-3)*v**(14/3)/v**3)**(27/2) assuming v is positive.
v**(-198/5)
Simplify ((f**(-2/5))**(-1/25))**28*(f*f**(-2)*f**2/f)**(4/3) assuming f is positive.
f**(56/125)
Simplify ((y**(-15))**(-13)/(y**2)**(-32))**(-8/19) assuming y is positive.
y**(-2072/19)
Simplify ((r/r**(-1/6)*r**(4/9))/(r**6/r*r**6))/((r**1)**4*r*r*r**2*r*r*r/(r**(-3/2)/r)) assuming r is positive.
r**(-206/9)
Simplify ((((i/(i**2*i*i))/i)**40/(i**(2/7))**(3/19))**(1/52))**21 assuming i is positive.
i**(-31929/494)
Simplify ((w/(w*w*w**(1/4)*w))**(-4/19))**(12/7)*(w/(w**2*w)*w**(-4))**20 assuming w is positive.
w**(-15852/133)
Simplify ((a**(-2/7)/a)**34*(a/(a**5/a))/a*a**(3/5))**(-49) assuming a is positive.
a**(11543/5)
Simplify (l*l/(l*l**34)*l*l*l)/l*l/(l/(l/l**31))*(l*l*l**22)/(l/((l/l**(-31)*l*l)/l*l)) assuming l is positive.
l**(-4)
Simplify ((k*k*(k*k**(-2)/k)/k)**40)**41/(k/k**(2/9)*k*k**(-2/3)*(k*k/k**1)**21) assuming k is positive.
k**(-14959/9)
Simplify (q**(-1/3)/q)**(2/21)*(q**2*q)/q*q/(q**3*q)*q/(q*q*q**1)*q**6*(q**(1/3)/q*q)**(-2/57) assuming q is positive.
q**(3425/1197)
Simplify ((f**1)**(2/7)*(f/((f*f**(2/13)/f)/f))/f**5)/(((f/(f*f*f*f**(2/7)*f))/(f*f*f**(-1/5)))/(f*f*f**(2/7)*f)**(1/3)) assuming f is positive.
f**(646/195)
Simplify ((m**(-4/25)/m**(-11/2))/((m/m**(-37))/m**(7/3)))**(-38) assuming m is positive.
m**(86431/75)
Simplify (h*h*h**1)/h**(3/11)*(h**(1/4))**(-32)*h**(-1)*h**(-1/5)*h/(h*h/h**(2/9))*h**(-4/5) assuming h is positive.
h**(-797/99)
Simplify v/(v*v**(3/10))*v*v**6*(v/((v**(-2/7)/v*v)/v))**8*((v**(2/9))**(3/4))**(-3/29) assuming v is positive.
v**(25343/1015)
Simplify (((v**(1/3))**(-2/39)/(v**(-2/7)*v*v**(-2/5)*v))**(-16))**(8/3) assuming v is positive.
v**(697856/12285)
Simplify ((b/((b/b**3)/b))/b**(-3)*(b*b**1/b)/b*b/b**4)/(b**0*b**(-2/11)*b*b/(b/((b**(-1/4)/b)/b*b))*b*b*b**5) assuming b is positive.
b**(-113/44)
Simplify (((f**(14/5)*f)/(f/(f**(8/5)*f)))/(f**(-12)/(f/((f*(f/(f*f**(2/15))*f)/f)/f))))**(-7/5) assuming f is positive.
f**(-1946/75)
Simplify ((q**(-6/7))**50/((q*q**(1/18)*q)/((q/q**(-11))/q)))**(8/3) assuming q is positive.
q**(-17092/189)
Simplify ((g*g/(g/g**(-2/27)*g))/g*g**(2/3))/(g**(1/3))**(5/4)*(g*g**(-5)*g*g*g*(g*g/(g/g**4)*g)/g*g)/(((g*g**4)/g)/(g**(-4)*g)) assuming g is positive.
g**(-305/108)
Simplify ((o**(1/3)/o*o)**(7/10)*(o*o**(-10/7)*o*o)**(-4/25))**(2/37) assuming o is positive.
o**(-19/19425)
Simplify (w**6*w*w**(2/17)*w)**50*(w/w**(-1)*w*w/(w/(w/(w*(w*w/(w/((w*w**(-1)*w)/w)))/w)))*w)/((w/w**0)/(w**8/w)) assuming w is positive.
w**(7070/17)
Simplify ((v/(v*v**3)*v)/v*v/(v*v/v**(-2/15))*v)**24/((v/(((v**(-2)/v)/v*v)/v))/(v*v**(4/3)/v)*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 20. Let r(a) = -2*a + 13. What is -5*i(f) + 8*r(f)?
-f + 4
Let v(s) = -s. Let b(i) be the third derivative of 3*i**4/8 - 4*i**2. Determine b(r) + 6*v(r).
3*r
Let a(h) be the second derivative of 0 + 0*h**2 - 7/12*h**4 - h**3 + h. Let y(v) = 0*v + 5*v**2 + 7*v + 3*v**2. What is 7*a(t) + 6*y(t)?
-t**2
Let g be (-7)/((-35)/10) - 4. Let i(n) = n**3 + 2*n**2 - 4*n + 3. Let r(k) = k**3 + k**2 - 3*k + 2. Give g*i(o) + 3*r(o).
o**3 - o**2 - o
Let u(x) = x + 1. Let q(w) be the first derivative of w**2/2 - w - 52. Calculate -q(y) + 2*u(y).
y + 3
Let m(b) = 6*b**2 - 3*b - 2. Let a(y) = -13*y**2 + 7*y + 4. Give 3*a(z) + 7*m(z).
3*z**2 - 2
Let l(u) = 9*u**3 + 2*u**2 + 2*u - 3. Let p(y) = 36*y**3 + 9*y**2 + 9*y - 12. Calculate -9*l(h) + 2*p(h).
-9*h**3 + 3
Let g(o) = o. Let i(q) = 3*q. Let n be 1/(2*(-3)/6 + 0). Calculate n*i(b) + 6*g(b).
3*b
Let r = -17 + 5. Let k be (-5)/((-15)/r) + 3. Let c(t) = 5*t + 6. Let w(j) = j + 1. Determine k*c(g) + 6*w(g).
g
Let f(g) = 2*g**3 - g - 6. Let n be (2 - (-3)/6)*-2. Let d(q) = 2*q**3 - q - 7. Determine n*d(m) + 6*f(m).
2*m**3 - m - 1
Suppose 0 = -2*k - 1 + 3. Let t(a) = a**3 - a**2 - a. Let m(i) be the third derivative of -i**6/24 + i**5/15 + 5*i**4/24 + i**2. What is k*m(u) + 4*t(u)?
-u**3 + u
Let s(w) = 1. Let k = -14 - -13. Suppose 3 - 8 = -5*b. Let z(f) = f + 1. What is b*s(x) + k*z(x)?
-x
Let w(u) = u**2 - 1. Suppose -30 = -i + 6*i. Let q be (-1 - -4)*(-34)/i. Suppose 4*r + 8 = 3*h, r + 0*r = -4*h + q. Let k(d) = 2*d**2 - 3. Give r*k(n) - 3*w(n).
-n**2
Let l(t) = -t - 1. Let o(j) = j**2 - j + 4. Let g be o(-3). Let f(i) = -20*i - 16. Calculate g*l(r) - f(r).
4*r
Let q(s) = 8*s. Let o(l) be the first derivative of l**2/2 + 1. Suppose 3*p + 4 = -a, -8 = 4*a + 3*p + p. What is a*q(y) + 10*o(y)?
2*y
Let f(j) be the third derivative of j**5/120 + j**3/2 + 2*j**2. Let d(v) be the first derivative of f(v). Let b = -8 - -10. Let q(l) = -l. Give b*q(k) + 3*d(k).
k
Let z(t) = -16 + 0*t + 4*t - 17 + 36. Let o(g) = 2*g + 1. Determine 5*o(a) - 2*z(a).
2*a - 1
Let l(u) = 9*u. Let p(c) = -5*c + 6*c + 13 - 13. Give l(j) - 4*p(j).
5*j
Let z(o) = 9*o**3 + 7*o + 5. Let r(a) = 13*a**3 + 10*a + 7. Suppose -3*j = 2*j - 4*q + 29, 0 = 2*j - 5*q + 15. What is j*r(g) + 7*z(g)?
-2*g**3 - g
Suppose 0 = -5*v + 6*v - 2. Let j be ((29 - 4) + -3)/v. Let d(l) = 3*l. Let r(y) = 16*y. Calculate j*d(z) - 2*r(z).
z
Let k(o) = o**2 + 3*o. Let c = -7 - -3. Let j(d) = 4*d. Calculate c*k(f) + 3*j(f).
-4*f**2
Let n(h) = 7*h**2 + 6*h. Suppose -4*d - 6 = -5*d. Let s(v) be the third derivative of 2*v**5/15 + 7*v**4/24 - v**2. Determine d*s(g) - 7*n(g).
-g**2
Let v = 3 - 5. Let t = 2 + v. Let q(f) = 0*f + 4*f + t*f. Let x(b) = b. Determine -3*q(w) + 10*x(w).
-2*w
Let a be -4 - -1 - (-2 - -2). Let x be 5/(-1 - 1 - a). Let u(y) = 5*y**2 - 6 + 6 + y + x*y + 6. Let z(n) = 11*n**2 + 13*n + 13. Give -13*u(s) + 6*z(s).
s**2
Let n(u) = 1 - 10*u + 11*u + 2 - 4. Let a(l) = -l + 4. Suppose -8 = -5*k - i - 2*i, 0 = -5*k + 5*i. What is k*a(g) + 3*n(g)?
2*g + 1
Let z(q) = -2*q**2 - q - 1. Suppose 0*i + i = 5*l - 6, -i + 4 = 0. Let n = l + -2. Suppose -5*u = -n*u + 35. Let f(g) = 3*g**2 + 2*g + 2. Give u*z(c) - 4*f(c).
2*c**2 - c - 1
Let n(i) = i**2 - 1. Let a(z) = -6*z**2 - 3*z - 4. What is a(u) + 4*n(u)?
-2*u**2 - 3*u - 8
Let u(y) = -4*y**3 + 3*y**2 + 5*y - 5. Let p = -4 + 3. Let f = -5 + p. Let x(z) = -4*z**2 + 6 + 2*z**2 - 6*z + 5*z**3 - 2*z**2. Give f*u(r) - 5*x(r).
-r**3 + 2*r**2
Let y(u) = -85*u**3 - 10*u**2 + 11*u. Let q(p) = -17*p**3 - 2*p**2 + 2*p. Determine -11*q(w) + 2*y(w).
17*w**3 + 2*w**2
Let s = 1 - 1. Suppose 5*g = -s*g + 10. Let v(k) = -k + g - 5 + 2 + 0*k. Let i(z) = z**2 + 6*z + 6. Calculate -i(q) - 6*v(q).
-q**2
Let i(v) = -6*v - 27. Let w(j) be the second derivative of j**3/6 + 2*j**2 - 5*j. Calculate 4*i(m) + 27*w(m).
3*m
Let s(v) = -3*v**2 + 4*v + 4. Let f be (-1 + 3 + -3)*3. Let r(p) = 2*p**2 - 3*p - 3. What is f*s(j) - 4*r(j)?
j**2
Let n(s) = -16*s + 5. Let j(v) = 15*v - 4. Calculate -6*j(g) - 5*n(g).
-10*g - 1
Let k(a) = 2*a**3 - 3*a + 1. Let u(g) be the first derivative of 3*g**4/4 + g**3/3 + 1. Let w be u(-1). Let d(s) = -2*s**3 + 2*s - 1. Give w*k(c) - 3*d(c).
2*c**3 + 1
Suppose 0 = -l - l + 6. Let u(s) = 9*s**2 + s**l - 9*s**2 + 3*s + 3. Let x(w) = 2*w**3 + 7*w + 7. What is 14*u(q) - 6*x(q)?
2*q**3
Let v(g) be the third derivative of -g**5/60 + g**4/12 - g**3/3 + 21*g**2. Let k(x) = -x**2 + x - 1. What is 6*k(h) - 3*v(h)?
-3*h**2
Let y(n) = n**2 - n - 1. Let i(r) = 7*r**2 - 4*r - 12. Give i(d) - 4*y(d).
3*d**2 - 8
Let a(o) = -51*o + 5. Let c(v) = -76*v + 7. Determine -7*a(w) + 5*c(w).
-23*w
Let g = -2 - -6. Let k(m) = 3*m + 4. Let w(t) = -6*t - 7. Give g*w(x) + 7*k(x).
-3*x
Let u(o) = 5*o**2 + 25. Let i(n) = n**2. What is 4*i(b) - u(b)?
-b**2 - 25
Let m(w) = 1. Let c = 1 + 0. Let x(n) = n**3 + 5*n**2 + 3*n - 2. Let k be x(-4). Let a(r) = 7 - k*r + 4*r - c. Give a(z) - 6*m(z).
2*z
Let v(c) = -2975*c**3. Let o(y) = -31*y**3. Determine -385*o(t) + 4*v(t).
35*t**3
Let w(v) = 4*v**2 - 5*v - 7. Suppose t + 5 = -1. Let i(o) = 5*o**2 - 6*o - 8. Determine t*i(u) + 7*w(u).
-2*u**2 + u - 1
Let j(o) be the third derivative of o**3/6 - o**2 - 41*o. Let i(x) = -x + 2. Let r = -9 - -13. Determine r*j(b) - i(b).
b + 2
Let c(p) = -p**2 + p - 1. Let n(d) = 12*d**2 - d + 1. What is 2*c(o) + n(o)?
10*o**2 + o - 1
Let t(y) be the third derivative of -y**4/12 + 2*y**3/3 + 4*y**2 - 5. Let n(g) = 2*g - 3*g + 4 - 2. Determine -7*n(m) + 3*t(m).
m - 2
Suppose 3*h - 4*c - 16 = 0, -c = 3*h + c - 10. Let n(b) = 4 - 2*b**2 + 4*b**2 + 7*b - h + 4. Let x(m) = -3*m**2 - 11*m - 6. Give 8*n(i) + 5*x(i).
i**2 + i + 2
Let d(j) = -8*j + 14 - 10 + 10*j. Let f(g) = 5*g + 11. What is -11*d(a) + 4*f(a)?
-2*a
Let n(w) = 3. Let l = 11 - 19. Let h(m) = -m - 8. Calculate l*n(a) - 3*h(a).
3*a
Let g(i) = 2*i**2 + 6*i - 4. Suppose -5*n = -0*n - 20. Let f = -11 - -18. Let b(p) = -4*p**2 - 11*p + 7. Give f*g(o) + n*b(o).
-2*o**2 - 2*o
Let g(x) = -3*x - 5 + 4 + 7 + 3. Let d(r) = -r + 4. What is -5*d(z) + 2*g(z)?
-z - 2
Let i be -2*-2*10/8. Let b(p) = 7*p**2 + 5*p. Suppose 0 = -4*n + 4*y + y + 18, -2*y = 2*n. Let j(k) = 15*k**2 - k + 4*k - 11*k**n. Determine i*j(o) - 3*b(o).
-o**2
Let b be 5 - 2 - 0 - -9. Let q(p) = -p - 4. Let m(h) = -1. Determine b*m(r) - 3*q(r).
3*r
Let u(j) = 4*j**2 + 2*j + j**2 + 5 + 0*j**2. Let h(w) = -4*w**2 - w - 4. Let c = -10 + 7. Let f be 3/(c/2) + -1. Determine f*h(d) - 2*u(d).
2*d**2 - d + 2
Let y(r) = 19*r**2 + 11*r + 19*r**2 - 33*r**2. Let v(w) = -w**2 - 2*w. Calculate -22*v(l) - 4*y(l).
2*l**2
Suppose 8 = 5*t - 4*y - 9, 3*y = -2*t - 7. Suppose -5*l - 5 - 20 = 0. Let j(i) = -4 + 2*i - 3*i - i. Let q(r) = -1. Determine l*q(a) + t*j(a).
-2*a + 1
Let v(k) = -6*k**3 - 3*k + 4. Let h(t) = 18*t**3 + 8*t - 11. What is -4*h(l) - 11*v(l)?
-6*l**3 + l
Let a(s) = -s + 1. Let v(n) = 3*n - 2. Suppose 2*d - 3*m = -1 + 3, -11 = 3*d - m. Give d*a(i) - 2*v(i).
-i - 1
Suppose -f - 9 = -5. Let o(x) = -x**2 - 4*x - 4. Let h(d) = -d**2 - 3*d - 3. Determine f*h(i) + 3*o(i).
i**2
Let k(l) = l. Let r(n) = -5*n - 6. Calculate -6*k(a) - r(a).
-a + 6
Let r(w) = -25*w + 5. Let v(q) = -51*q + 9. Calculate 5*r(p) - 3*v(p).
28*p - 2
Let u(b) = 12*b**3 - 4*b**2 - 7*b - 7. Let y(i) = 4*i**3 - i**2 - 2*i - 2. Let c(j) = j**2 + 11*j + 17. Let x be c(-10). Calculate x*y(z) - 2*u(z).
4*z**3 + z**2
Let i(x) = 3*x - 9. Let k(o) = -4*o + 4 + o + o + o. Suppose -1 - 3 = -u. Let r be u + -1 + 8/(-1). Determine r*k(n) - 2*i(n).
-n - 2
Let v(x) = -3*x**3 + 3*x**2 + 3*x - 3. Let k(s) = -9*s**3 + 8*s**2 + 8*s - 8. What is -3*k(f) + 8*v(f)?
3*f**3
Suppose -4*x + 4*f - 8 = 0, -x - 2*f - 14 + 3 = 0. Let d(w) = -5*w**2 - 7*w - 2. Let m(b) = 4*b**2 + 6*b + 2. What is x*d(a) - 6*m(a)?
a**2 - a - 2
Let y(c) = 2*c + 1. Let v(k) = k - 1. Calculate 2*v(q) + y(q).
4*q - 1
Let k(l) = 2*l**2 - 4*l - 6. Let o(f) = 3*f**2 - 8*f - 12. Let z(a) = -5*k(a) + 3*o(a). Let b(r) = 3*r**2 + 9*r + 13. Give 4*b(c) + 9*z(c).
3*c**2 - 2
Let b(o) = o + 1. Let u be b(5). Suppose 3*d - 3 = -0*d. Let h(j) = -5 + 3 + 2 - d. Let a(f) = -2*f + 7. Give u*h(l) + a(l).
-2*l + 1
Let q(j) = 2*j**2 + j + 2*j - 4 - 8*j. Let u(r) = -r**2 + 3*r + 2. What is -4*q(w) - 7*u(w)?
-w**2 - w + 2
Let x(y) = 5*y**2. Let h(q) be the first derivative of q
|
{
"pile_set_name": "DM Mathematics"
}
|
k*g + x and give k.
8
Rearrange -10*y**3 - 2*y**2 - 3*y**3 - 11*y**3 - 2 + 19*y**3 to the form a*y + u*y**3 + i + p*y**2 and give i.
-2
Rearrange -1 + 4*x**2 + 3 + x - 4 to the form k*x**2 + j*x + t and give t.
-2
Rearrange -26*k**2 + 28*k - 28*k to d*k + b + m*k**2 and give m.
-26
Express -6*o - 2 + 8*o + 4*o + 11*o as r*o + x and give x.
-2
Rearrange (m**2 - 4*m**2 + 2*m**2)*(-2*m + 3 - 3)*(14 + 5 + 14) to the form b*m**3 + r + a*m + u*m**2 and give b.
66
Express -20*i + 25*i + 43*i in the form a*i + o and give a.
48
Rearrange -13*q**2 + 2 + 31*q**2 - 15*q**2 - 4*q to h*q + o + d*q**2 and give o.
2
Express -30*k**3 + 12 - 8 - 2 in the form f*k + u*k**3 + o + p*k**2 and give o.
2
Express 5*b**3 + 4*b + 5*b**3 - b**2 - 8*b**3 in the form l*b + w*b**3 + t + d*b**2 and give l.
4
Express (2*h - 3*h - 2*h)*(0*h**2 - 5*h**2 + 3*h**2)*(6 - 9 - 7)*(-4 + 1 + 2) as j + o*h**3 + z*h**2 + p*h and give o.
60
Rearrange (-1 + 1 + 1)*(-5*u**2 + 2*u**2 + 2*u**2) - u**2 - 4*u**2 - 5*u**2 to p*u**2 + a*u + z and give a.
0
Express -30*s**3 + 2 - 11*s**3 - 12*s**3 as j*s**2 + o*s**3 + p + z*s and give o.
-53
Express (-2 - 2*r + 2)*(1544*r - 1544*r - 3 + 73*r**2) as c*r + y*r**2 + k + w*r**3 and give c.
6
Rearrange 9 + 3 + 2 + 14 - 2*y to the form a*y + s and give a.
-2
Rearrange -2*s - 8*s**3 + 9*s**3 - s**2 + 2*s - s + 5 to the form o*s**3 + c*s**2 + n*s + p and give p.
5
Express -m + 38 - 19 - 16 + (2 - 4 + 0)*(2*m - 3*m + 2*m) in the form b + z*m and give b.
3
Rearrange -24*h - 20*h - 38*h to the form i + u*h and give u.
-82
Rearrange 7*k**3 - 32*k + 59*k - 29*k + k**2 to the form m*k**2 + z*k + s + r*k**3 and give z.
-2
Rearrange (9 - 7 + 6)*(-20*h - 5*h + 11*h) to m*h + b and give m.
-112
Rearrange 6*g - 4*g + 1 - 6*g**4 - 4*g**3 + g**3 + 2*g**3 to n*g + v + c*g**3 + i*g**4 + y*g**2 and give n.
2
Express -c + c**2 + c + (3 - 2*c - 3)*(3 - 3 + 2*c) + 3*c**2 - 2*c**2 + 0*c**2 as l*c**2 + z*c + x and give l.
-2
Rearrange (6*v**3 - 2*v**3 - 2*v**3)*(-8*v - 13*v + 0*v) to the form d*v + g*v**4 + j*v**2 + a + h*v**3 and give g.
-42
Rearrange -22*c**4 + 23*c**4 + 2*c - 4*c + 6 to the form p + w*c + v*c**3 + d*c**2 + h*c**4 and give h.
1
Express (-8 - 3 + 3)*(-3 + 3 - 1)*(a - 3*a + 3*a) in the form l*a + y and give y.
0
Rearrange -2 + 6*i**2 - i**3 + 2*i**3 + 3*i**2 to the form l*i**3 + h*i**2 + u*i + r and give h.
9
Express -41*g - 26*g + 38*g in the form f + w*g and give w.
-29
Rearrange 1 + 2*j**4 + 65*j + j**2 - 65*j to the form c*j**4 + f*j**3 + k*j + g*j**2 + q and give g.
1
Rearrange (-j - j + 0*j + (-2*j + 4 - 4)*(1 - 3 + 5))*(-j + 3*j - 4*j)*(-4 + 1 + 5) to the form z + p*j**2 + s*j and give p.
32
Express -j + 2*j**4 + j + (2 - 2 - 2*j)*(j**2 - 9*j**2 - 38*j**2)*(2*j - j - 4*j) as y*j**2 + v + i*j + g*j**4 + a*j**3 and give g.
-274
Express (-3*v**2 + 2*v**2 + 5*v**2)*(5 - 2 - 4*v - 4) in the form h*v + p*v**3 + n*v**2 + a and give h.
0
Express (2*j - j - 4*j)*(5 - 5 - 6*j) + (j + 4*j - 2*j)*(-1 + 1 - 2*j) - 2*j**2 + j**2 + 2*j**2 as w + o*j**2 + d*j and give o.
13
Rearrange -2*z + 2*z**4 - 953 + 6*z**2 + 954 + 0*z**2 - z**3 to f*z + i + b*z**2 + g*z**3 + p*z**4 and give f.
-2
Express 3*d + 10*d - 3*d + d + 4*d - 4*d + 2 - 2 - d + (-1 + 1 + 2*d)*(4 - 7 + 1) - 2*d - 2 + 2 + d - 2*d + 0*d + 0 + 0 - d in the form n*d + t and give n.
2
Rearrange -10 - 2*f**2 + 21 - f - 3*f**3 - 11 to u*f**2 + p*f + a + h*f**3 and give u.
-2
Express -3*h**4 - 3*h**2 + h - 7*h**2 + 8*h**2 + h**3 as n*h**4 + i + v*h**3 + s*h + j*h**2 and give n.
-3
Express 20*l**3 - 14*l + 14*l + 0*l + l**3 + 0*l + (7*l - 3*l - 2*l)*(-2*l**2 + 11*l - 11*l) in the form z*l**2 + q*l**3 + v + p*l and give q.
17
Rearrange -790 + 3*q**2 + 800 - q**2 - q to s*q + d*q**2 + i and give d.
2
Rearrange (-n + 12 - 12)*((0*n**3 + 2*n**3 - 3*n**3)*(-4 - 2 + 4) + 13 - 29 + 15 - n**3) to g*n**3 + f*n**4 + i*n**2 + t + p*n and give f.
-1
Rearrange 25 - 25 + 13*b to the form i + g*b and give i.
0
Rearrange 2*v**3 - 3*v**3 + 5*v**3 + (8 - 8 + 4*v)*(-2*v**2 + 2*v**2 + 2*v**2) to n*v + p + m*v**3 + q*v**2 and give m.
12
Express -16*f**2 + 11*f**2 + 11*f - 13*f**2 - 9*f in the form m*f + c + v*f**2 and give m.
2
Express 2*g**4 - g**3 + 4*g + 2*g**2 - g**3 + g**3 in the form b*g**4 + d*g**3 + o*g**2 + z*g + f and give z.
4
Express -255*u - 61*u - 137*u + 209*u + (-3 - 1 + 2)*(u + 1 - 1) in the form z + g*u and give g.
-246
Express (34*x - 90*x + 154*x)*(-x + 3*x - 3*x) + x**2 - x**2 + 2*x**2 in the form o*x + c*x**2 + z and give c.
-96
Rearrange (-6 + 3 + 1)*(2*y**3 - 3*y**3 + 2*y**3) to c*y**2 + a + u*y + l*y**3 and give l.
-2
Rearrange -4*g**3 + 1 + 5*g**3 - 3*g - 1 to the form k*g**2 + z*g + a*g**3 + i and give a.
1
Rearrange 3*d**2 - 7 - 18*d**2 + 6*d**2 + 7*d**2 to q*d + f*d**2 + u and give u.
-7
Express -77 + 2*k**3 - 4*k**2 + 2*k**4 + k + 77 as l*k**2 + j*k**3 + n*k**4 + t*k + p and give n.
2
Express 2*x + 7 - 25*x**3 - x**4 + 25*x**3 + 0 in the form q*x**4 + n*x**2 + y*x**3 + w + b*x and give b.
2
Express 2*h**2 - 3*h**2 + 3*h**2 + (-3*h - 3*h + 4*h)*(2*h - 4*h + h) + (4*h + 1 - 1)*(0*h + 0*h + h) in the form u + d*h + w*h**2 and give d.
0
Express -2*y**4 - 3*y + 3 - 2*y + 12*y - 8*y - 4*y**3 in the form p*y**2 + w*y**4 + h + s*y + a*y**3 and give s.
-1
Rearrange -58 + 16*q**2 + 113 - 56 to l + t*q**2 + i*q and give l.
-1
Express 9 - 9*t**3 - t**4 + 3 + 10*t**3 as s + b*t**2 + z*t + d*t**3 + c*t**4 and give b.
0
Express (2*c**2 - c**2 - 3*c**2)*(4*c + 0*c - 3*c) - 53*c**3 + 16 - c**2 + 5 - 19 as p + w*c + m*c**2 + n*c**3 and give p.
2
Express 5 + 6*f**4 + 2*f + 2*f**2 - 11*f**4 + f**4 in the form s*f**3 + m*f + b*f**4 + q + j*f**2 and give b.
-4
Rearrange -2*k**2 - 1 + k**4 + 13*k - k - 3*k - 8*k to the form g*k**4 + q*k + c*k**3 + i*k**2 + f and give i.
-2
Express (5 - 5 - 2*u**3)*(48 + 23*u - 23 - 26) in the form p*u + v + k*u**4 + r*u**3 + q*u**2 and give k.
-46
Express 91*j**3 - 8*j - 45*j**3 - 42*j**3 in the form q*j**3 + m*j**2 + z + s*j and give q.
4
Rearrange -n**4 - n**4 + 0 - 1 - 2*n**2 + 0*n**4 + 2*n**3 to b*n**4 + w*n**2 + z*n + k*n**3 + v and give w.
-2
Rearrange -5*c**2 + 32 - 32 - c to v + p*c**2 + b*c and give b.
-1
Express -b**3 - 3*b**3 + 6*b**3 - 8*b**2 as j + c*b**3 + f*b + y*b**2 and give y.
-8
Rearrange 1 + 9 - 18 + 7 + 4*b**3 to w*b**2 + u*b**3 + d + r*b and give d.
-1
Express (27 - 27 - 8*h**2)*(-2*h - 3 + 3 + (2*h - h - 3*h)*(-1 - 1 + 0) + h + h + 0*h)*(-h - 3*h + 2*h) as j*h + b + g*h**3 + f*h**4 + y*h**2 and give f.
64
Rearrange -18*k**2 - 5*k**2 - 3327*k + 3328*k - 1 - 1 to q*k**2 + b*k + m and give q.
-23
Express 2*g**3 - 3*g**3 + 2*g**2 + g**4 - 4*g**2 + 6 as k*g + c + q*g**2 + b*g**4 + x*g**3 and give b.
1
Rearrange -16*q - 2*q - 12*q + 3*q + (1 + 2*q - 1)*(-1 - 2 + 1) to j*q + p and give j.
-31
Express 21*o**2 - 42*o**2 - 4*o**2 - 86*o**2 in the form i*o**2 + p*o + q and give i.
-111
Express -24*r + 6*r - 12*r - 2*r in the form c + i*r and give i.
-32
Express (w - 2*w + 3*w)*((1 - 2 + 0)*(-1 + 0 - 1) + 4 - 2 - 1 - 8 - 21 - 1)*(2*w**2 + 5 - 5) in the form s*w + y*w**3 + j + l*w**2 and give y.
-108
Rearrange -3 + 3 - x + 14*x to u + m*x and give m.
13
Rearrange 1 + 16*m - 2 + 1 - 1 to l + j*m and give l.
-1
Rearrange 548 + 6*m - 548 to the form n*m + x and give n.
6
Rearrange (2*i**2 - 3*i**2 - 9*i**2)*(3*i - 1 + 1)*(-1 - 2*i + 1) to the form z*i**4 + t*i + g*i**2 + b*i**3 + p and give z.
60
Express -4*j**3 + 2*j - 4*j**2 - 5 + 4 + 3*j**3 in the form s*j**3 + m*j**2 + k*j + g and give g.
-1
Rearrange k**4 + k**3 + 5 - 2*k**4 - 3 to s*k**2 + i + x*k**3 + f*k + h*k**4 and give h.
-1
Express -4*r - 10*r + 16*r + 5*r**2 - 3*r in the form f + k*r + x*r**2 and give x.
5
Express -3 + 10 - 3*a + a**4 + a**2 - 11 as l*a + j*a**4 + b*a**3 + u*a**2 + s and give j.
1
Rearrange (13*z**2 - 13*z**2 - 10*z**4)*(2 - 1 + 1) to the form c*z**2 + p*z**4 + t + u*z**3 + q*z and give p.
-20
Express (v - v + v)*(15 + 9 + 3)*(6*v**2 - 2*v**2 - 3*v**2) in the form r*v**2 + m + w*v + z*v**3 and give z.
27
Rearrange n**2 + 26 + 31 + 5*n**3 - 57 to l*n**3 + g*n**2 + v*n + x and give v.
0
Express (0*p**2 + 0*p**2 + p**2)*(-8 - 9 + 0)*(0*p - 2*p - 2*p) as u*p**2 + j*p**3 + k + n*p and give j.
68
Rearrange -2*f - 17*f**2 + 4*f + 97*f**2 to l*f**2 + c*f + n and give c.
2
Express (-4 + 13*v - 2*v**2 + 18*v - 35*
|
{
"pile_set_name": "DM Mathematics"
}
|
684) + 1 - sqrt(684)) + 4*(-2*sqrt(684) + sqrt(684))))**2.
-900*sqrt(19) + 17325
Simplify (sqrt(208)*2*-6 + sqrt(208)*-2*-3 + sqrt(208) + 4)**2 + (0 + 1 + 2 + sqrt(208) + -1*1*sqrt(208))**2.
-160*sqrt(13) + 5225
Simplify -4 + 1*sqrt(112)*6 - ((sqrt(63) + 0)**2 + ((sqrt(567) + -3 + sqrt(567))**2 - sqrt(7))).
-2344 + 133*sqrt(7)
Simplify 4 + (sqrt(45)*2*-5 - ((sqrt(4500) - -1*sqrt(4500)) + sqrt(45)) - 1*(sqrt(45)*2 + -3))**2.
-594*sqrt(5) + 49018
Simplify 6*(5*(-2*(sqrt(76) + sqrt(76) + 1 + sqrt(76)) - (1*sqrt(76) + 0) - ((sqrt(76) - 6*(sqrt(76) + 1)) + (-1 + sqrt(76))*5)))**2.
-37800*sqrt(19) + 570750
Simplify 5 + ((5*(sqrt(100)/sqrt(2) - sqrt(50)))/(sqrt(405) + -2*sqrt(405)))/(4*(-3*sqrt(5) + sqrt(5)) + sqrt(720)).
5
Simplify ((sqrt(80)*-1 + -2)**2 + 1*(sqrt(80) + sqrt(80)*1)**2 - (-2*(1 + sqrt(80) - sqrt(80)) - sqrt(80) - 4*(0 + sqrt(80))**2))*-6.
-4356 - 120*sqrt(5)
Simplify (5*(sqrt(144) - (sqrt(144) + -2*sqrt(144)*3))/(-2*(sqrt(27) - sqrt(675))))**2.
75
Simplify (sqrt(26) - (sqrt(26) - ((sqrt(208)*-1)/sqrt(8) - sqrt(26))))/(sqrt(128)*2) + -4 + 5*(-4*sqrt(1872) + sqrt(1872))**2.
-sqrt(13)/8 + 84236
Simplify 3 + 1*(((sqrt(170) + -3*sqrt(170) + sqrt(170))*4)/(sqrt(1440) + (sqrt(1440)*1 - sqrt(1440)) + sqrt(1440) + sqrt(1440)) + -1).
-sqrt(17)/9 + 2
Simplify (((sqrt(114) - sqrt(114)*-1)*-2)/(sqrt(72)/(sqrt(24)/sqrt(2) + sqrt(12))) - 6*sqrt(190)/(sqrt(10) - 2*sqrt(10))*6) + 4 + 1.
5 + 28*sqrt(19)
Simplify (-5*(sqrt(28)/sqrt(4) + -1))**2 - (sqrt(847)*-1 + 3) - ((3*sqrt(77)*-6 - sqrt(77)) + sqrt(77))/(-5*(sqrt(11) + sqrt(44)/sqrt(4) + sqrt(11))).
-201*sqrt(7)/5 + 197
Simplify (3*sqrt(2448)*-2 - (-2 + sqrt(2448) + 5))**2 - ((sqrt(2448) + 5 + 3)*2)**2.
-264*sqrt(17) + 109913
Simplify (2 + (4*((sqrt(91)*-1 - sqrt(91) - sqrt(91)) + sqrt(91))*2)/(sqrt(84)/sqrt(3)*-3))*-5.
-40*sqrt(13)/3 - 10
Simplify (3*((-3 + sqrt(117) + (4*sqrt(117) - sqrt(117)) + -1 - -4*(0 + sqrt(117) + sqrt(117))*1) + 3))**2.
-648*sqrt(13) + 151641
Simplify ((sqrt(5040) - (3*sqrt(5040) - sqrt(5040) - sqrt(5040))) + sqrt(1260)*4)/((-2*2*sqrt(84))/(-2*sqrt(1200) - sqrt(1200))).
180*sqrt(5)
Simplify 4*((sqrt(11) + sqrt(66)/sqrt(6))**2 + 5 + 1) - (1*sqrt(121)*-5)/((sqrt(44) + sqrt(11))*3).
5*sqrt(11)/9 + 200
Simplify -4*(-6*sqrt(495)*-3 - sqrt(495))/sqrt(11) - (-3*((sqrt(2880) - (sqrt(2880) - (sqrt(2880) + 0)**2)) + sqrt(2880)) + 0).
-132*sqrt(5) + 8640
Simplify 4*((-5*1*sqrt(204) + sqrt(204))/(-4*sqrt(24)/sqrt(2)))**2 - 1*(4 + -1 + sqrt(1377))**2*2.
-2704 - 108*sqrt(17)
Simplify (3 + 1 + (sqrt(405)*2 + sqrt(405))**2 + -4 + 4)*-4*-3.
43788
Simplify 6*(sqrt(972)*2*-5 - -4*sqrt(972)*-1)/(4*-1*sqrt(324)*-2).
-21*sqrt(3)/2
Simplify (((0 + sqrt(891)*1)**2 - (sqrt(891) - -1*(sqrt(891) + sqrt(891)*2 - sqrt(891)))) + (4*(1*sqrt(891))**2 - -2*(sqrt(891) - (sqrt(891) + 1)**2)))*4.
-180*sqrt(11) + 10684
Simplify (-4*(sqrt(77) - sqrt(77)*-2))/(sqrt(22)/sqrt(2)*-6) + 1 + (sqrt(112)*1 + 2 - sqrt(112))**2 + (-1 + sqrt(112) + 3)**2.
18*sqrt(7) + 121
Simplify -5*((sqrt(3) + (sqrt(3) - sqrt(12)))**2 + 0 + (4 + sqrt(3)*1)**2) - (1 + (sqrt(147) - 6*(-5*sqrt(147) + sqrt(147)))**2).
-91971 - 40*sqrt(3)
Simplify ((-6*1*sqrt(264))/(sqrt(6) + sqrt(18)/(sqrt(6)/sqrt(2))))**2 - (sqrt(44)*-3*1 + sqrt(44) + -2 + sqrt(44)*-2)**2.
-312 - 32*sqrt(11)
Simplify ((-2*(0 + sqrt(242)) - sqrt(242) - sqrt(242)) + 1 + sqrt(242) + 2 + (sqrt(160)/(sqrt(8)*-2))/(-5*sqrt(10)*1))**2.
-987*sqrt(2)/5 + 108691/50
Simplify (-1*3*(sqrt(99) + 3 + sqrt(99)*-1 + sqrt(99)) + -1*(1*1*sqrt(99) + 3 + sqrt(99)*-1))**2 + -3.
216*sqrt(11) + 1032
Simplify (2 + 2 + (-6*(sqrt(176) + 2 + -3))**2)*1*-2.
-12752 + 576*sqrt(11)
Simplify (2 + -5 + -1 + (sqrt(245)*-1 + sqrt(245) + 5 - (sqrt(245) + -2 + 5)))**2 + -5.
28*sqrt(5) + 244
Simplify (sqrt(14)/(-1*sqrt(2)) - sqrt(252)*-1) + (sqrt(448) + -1 + 2 + sqrt(448) + sqrt(448)*1 + 0)**2.
53*sqrt(7) + 4033
Simplify 2*(((6*2*sqrt(405) - sqrt(405))*-4 + -6*(sqrt(405) + (sqrt(405) - (sqrt(405) + -4 + (sqrt(405) - (sqrt(405) + 1))))))*3)**2.
486000*sqrt(5) + 18241200
Simplify 4*(0 + -1 + (5 + -1*(1 + sqrt(72)) - -3*(3 + sqrt(72)*-1)))**2.
-2304*sqrt(2) + 5184
Simplify -2*((-2 + sqrt(1216) + 4 - (sqrt(1216) + sqrt(1216)*5 + -4)) + 4)**2*4.
-244000 + 6400*sqrt(19)
Simplify (-4*-1*sqrt(77)*5 + (sqrt(77) + sqrt(77)*2*5 - (sqrt(77) - ((sqrt(77) + -2*sqrt(77))*-4 + sqrt(77)))))/((sqrt(84)*1)/(-1*sqrt(3)*6)).
-105*sqrt(11)
Simplify 4 + (2 + (-4 + (-6*(sqrt(108) - (sqrt(108) + -1*sqrt(108) + sqrt(108))) - (sqrt(108) - (sqrt(108) - (-2 + sqrt(108) + 1) - sqrt(108)))))*5)**2 + -2.
1560*sqrt(3) + 10971
Simplify 6*-2*((sqrt(136) - sqrt(136)*1)*1 + sqrt(136) + -3*-1*sqrt(136))/((sqrt(16)*-2)/sqrt(2) + -2*sqrt(128)).
24*sqrt(17)/5
Simplify (sqrt(51) + 1*(sqrt(153)/sqrt(3) + sqrt(51)) + (sqrt(612)*-2)/sqrt(12))/((sqrt(24) - (sqrt(1944) - (sqrt(1944)*2 + sqrt(1944))))/sqrt(8)) + -3 + 0.
-3 + sqrt(17)/19
Simplify (-5 + sqrt(325)*2 + sqrt(325) + -4 + sqrt(325) + -1 + sqrt(325) - (-2 + (4 + (sqrt(325) - (sqrt(325) + 0) - sqrt(325)))*-1))**2.
-160*sqrt(13) + 5216
Simplify (1*sqrt(38)/(sqrt(8) + sqrt(8)*1 + sqrt(2)))**2 - -2*(sqrt(1216) + 1 + 3).
219/25 + 16*sqrt(19)
Simplify 5*(6*(sqrt(156) + -5*sqrt(156)*2 + 2*sqrt(156)*5))/(-4*1*((sqrt(1200)*-2 - sqrt(1200)) + sqrt(1200))).
3*sqrt(13)/8
Simplify ((sqrt(1700)*2 - sqrt(1700) - sqrt(1700)) + -1 + -4 - (-6*-2*sqrt(204))/(sqrt(12) - (-2*sqrt(36))/sqrt(3))) + -1.
-4*sqrt(17) - 6
Simplify ((1*(sqrt(30)*-2*6 + sqrt(3000) + sqrt(3000) + sqrt(3000)*-1))/(((1*sqrt(18) + sqrt(18) + sqrt(18))*-1 - sqrt(18))/(2*sqrt(12)/sqrt(4))))**2.
5
Simplify ((-1 + -4*(sqrt(245) + 0 - sqrt(245)))*6 + -6*(6*(sqrt(245) + -1) + sqrt(245) + (sqrt(245) - (-1 + sqrt(245))) + -1))**2.
-17640*sqrt(5) + 433080
Simplify ((1*(1 + sqrt(1100)) - (sqrt(1100) - (-5 + sqrt(1100)*1)))**2 + (sqrt(22)/(-3*sqrt(2)) + -4 + sqrt(11)*-2)**2)*-4.
-42908/9 + 736*sqrt(11)/3
Simplify ((-2*2*sqrt(104))/sqrt(8))**2*1 - 5*(-3 + sqrt(65)/sqrt(5))*-3.
15*sqrt(13) + 163
Simplify -6*(((0 + sqrt(1377) + -3 - (-2 + (sqrt(1377) - -2*sqrt(1377)))) + (5*sqrt(1377)*1 - (sqrt(1377) - (sqrt(1377)*1 + -5 - sqrt(1377)))))**2 + 3).
-33282 + 1296*sqrt(17)
Simplify (4 + (-2 + sqrt(567) + 5)*1 - 5*-1*5*(-2 + sqrt(252) - sqrt(252)))**2.
-774*sqrt(7) + 2416
Simplify ((1 + sqrt(272))*5 - (1 + -2*sqrt(272)))**2 + (sqrt(272) + sqrt(272)*4 + sqrt(272) + -4)**2 + 2*sqrt(272)*-2.
16*sqrt(17) + 23152
Simplify 4 + (2 + sqrt(176) + -2 + ((-2 + sqrt(176) - sqrt(176)) + 5 - sqrt(176)) + sqrt(176))**2 + -5*((sqrt(121) + 1*sqrt(121)*3)/sqrt(11))**2.
-691 + 24*sqrt(11)
Simplify (-5*-1*4*((sqrt(847) + -3 + 0 - sqrt(847) - sqrt(847)) + -4 + -1 + sqrt(847))*2)**2.
102400
Simplify 5*-5*(3 + sqrt(275) + sqrt(275) + -3 - ((sqrt(275) - -5*-2*sqrt(275)) + sqrt(275)))**2*-1 + -3.
687497
Simplify (sqrt(539) + -2)*4 + sqrt(539)*2*4 - ((-1 + sqrt(1331))**2*-3 + -4 + (sqrt(1100)*1)**2).
18*sqrt(11) + 2892
Simplify 2 + (sqrt(39) - sqrt(234)/(-2*sqrt(6)) - (sqrt(39) + 1*sqrt(975) - sqrt(39)))/(sqrt(147)*-1*-6).
-sqrt(13)/12 + 2
Simplify (((sqrt(513)*2 - sqrt(513)) + sqrt(513) - sqrt(513))/sqrt(9))/sqrt(432) + 4*(sqrt(133)/sqrt(28) + 0 + sqrt(95)/sqrt(5)).
73*sqrt(19)/12
Simplify (-2*sqrt(68)*1 + -5*sqrt(68)*2 + sqrt(68))/(-4*(sqrt(256)*1 + (sqrt(4) - -2*sqrt(484)))).
11*sqrt(17)/124
Simplify 1*(3 + 1 + sqrt(7))*3 + (3*(sqrt(7) + 0) - (sqrt(7) - (sqrt(7) + 0 + -5))) + 3.
10 + 6*sqrt(7)
Simplify (sqrt(40) + sqrt(40)*-3*-6 - sqrt(80)/sqrt(2)*-1)/((sqrt(216)*-3)/(2*sqrt(243))).
-40*sqrt(5)
Simplify -3 + (-3*sqrt(192)*1 - ((sqrt(192) - 3*(2*sqrt(192))**2) + sqrt(192) - sqrt(192))) - (4 + (sqrt(192)*-2 + 2 - sqrt(192)))**2*-3.
-896*sqrt(3) + 7593
Simplify 4 + (6*6*(0 + sqrt(288)) + 5)**2 + -2 + -4.
4320*sqrt(2) + 373271
Simplify (5*3*sqrt(96)/sqrt(2))**2 - ((sqrt(300)*1*4)**2 - ((-2 + sqrt(300))**2 + sqrt(300))*3).
-90*sqrt(3) + 6912
Simplify (-3 + 2*((1 + sqrt(245))*-2*1 - -2*(0 + (sqrt(245) - (sqrt(245) + sqrt(245) + -1)) - sqrt(245))))**2.
504*sqrt(5) + 35289
Simplify ((sqrt(143)/sqrt(275)*1 - (sqrt(104)/(sqrt(40)/sqrt(5) + sqrt(8)) + sqrt(39)/(sqrt(3) - sqrt(12)))) + -5)**2.
-7*sqrt(13) + 3137/100
Simplify 6*(sqrt(2880) + (1 + 2 + sqrt(2880) - sqrt(2880)))**2 - (sqrt(2880) + sqrt(2880)*1*4 + 4 + sqrt(2880) + -1).
720*sqrt(5) + 17331
Simplify -1*(sqrt(3388)*2)/sqrt(4) + sqrt(7)
|
{
"pile_set_name": "DM Mathematics"
}
|
7
Let j(r) = 2*r + 4. Suppose -2*h - 9 = h. Let t(d) = -6*d - 11. Let q(u) = h*t(u) - 8*j(u). List the prime factors of q(2).
5
Suppose 40*h - 42*h + 588 = 0. List the prime factors of h.
2, 3, 7
Let a be 492/(-20) - 4/10. What are the prime factors of 2/(-3)*-3 - a?
3
Let p be (-208)/36 + (-2)/9. Let b be ((-14)/5)/(p/30). Let k = b - 0. List the prime factors of k.
2, 7
Let k(c) = c**3 + 6*c**2 + c - 5. Let t be k(-5). Suppose 4*s - 9*s = -t. Suppose -s*w = 2*w - 20. What are the prime factors of w?
2
List the prime factors of (21 + 0)/(-1 + 2).
3, 7
Suppose -5*c + 7*s = 2*s - 60, -5*s - 51 = -4*c. Let f be 8/(-3)*c/6. List the prime factors of 6/f*66/(-9).
11
Suppose -2*s - 2 + 6 = 0. Suppose -3*c - 1 = -m, 3 = 5*c - s*m + 5*m. Suppose c = -j - j + 10. What are the prime factors of j?
5
Suppose -x - 9 = a, -2*a - 28 = 3*x + x. Let g(o) = -5*o - 2. List the prime factors of g(a).
2, 3
Let p(m) = m**3 - 2*m - 2. List the prime factors of p(3).
19
Let y(w) = -w**3 - 1 + 156*w**2 - 1 - 155*w**2. List the prime factors of y(-3).
2, 17
Suppose -3*z + 33 + 84 = 4*q, -5*q + z + 151 = 0. Let g = 17 + q. What are the prime factors of g?
47
Let s(z) be the third derivative of -5*z**4/24 - 11*z**3/3 - 8*z**2. List the prime factors of s(-12).
2, 19
Suppose 1 = 5*x + 2*t + t, 0 = -4*x - 2*t + 2. Let c be ((2 - x) + -4)/(-2). Suppose -c*k + 3*k = 4*m + 24, -4*k + 5*m + 41 = 0. List the prime factors of k.
2
Let v = -7 - -10. Let h = 5 + v. Suppose -i + 3*c = 4*i - 87, -2*c - h = 0. What are the prime factors of i?
3, 5
Let i(w) = w**2 - 4. Let n be i(5). Let x be 4/18 + 133/9. Let o = n - x. What are the prime factors of o?
2, 3
Suppose -4*z = i - 3*i - 140, -4*z = -4*i - 136. List the prime factors of z.
2, 3
Suppose y - 44 = -3*y. Let p = y + 3. List the prime factors of p.
2, 7
Let d(a) be the third derivative of -a**6/120 + a**5/6 + a**4/2 + 4*a**3/3 - 2*a**2. Let i be d(11). Suppose -3*p = 4 - i. List the prime factors of p.
5
What are the prime factors of (-3)/(12/(-584))*1/2?
73
Let p(o) = 8*o**2 - 4. List the prime factors of p(-5).
2, 7
Suppose 3 = -2*t + 7. Suppose o - 68 = -t*g, -3*g + 2*o + 120 = g. What are the prime factors of g?
2
Suppose -2*z + 3*z = 0. Suppose -r + z*r - 26 = 0. Let o = 38 + r. What are the prime factors of o?
2, 3
Suppose 0 = -0*w + 5*w - 10. Let y(b) = 2*b**2 + 1. Let p be y(w). Let v = 20 - p. What are the prime factors of v?
11
Let w be ((-13)/(-26))/(2/48). Let i = w + -5. What are the prime factors of i?
7
Let q be 20*((-64)/(-20))/2. Suppose 3*o + 32 = m, -3*o = 2*m - m - q. List the prime factors of m.
2
Let d(s) = -s**2 - 8*s - 7. Let r be d(-7). Let a be ((-2)/(-1) - 1)*r. List the prime factors of 2 + (2 - 0) + a.
2
Suppose 6*u - 2*u = 148. What are the prime factors of u?
37
Suppose 0 = 4*s - 685 - 59. List the prime factors of s.
2, 3, 31
List the prime factors of ((-8)/(-10))/(7/35).
2
Suppose 3*x + 2*o = -3*o + 257, 0 = 3*o - 3. What are the prime factors of x?
2, 3, 7
Let v be (-1)/2*(-12)/(-2). Let z = 5 + v. Suppose 0 = z*s + s - 36. What are the prime factors of s?
2, 3
Let y = 97 - 52. Suppose -a + 5 + 8 = 0. Suppose a = -4*b + y. What are the prime factors of b?
2
Let s be 24/(-9)*9/(-6). Suppose -2*k + t + 5 = 0, -k + s*t = -7 + 1. Suppose -2*b - 2*b = -3*m + 19, -m - k*b + 3 = 0. List the prime factors of m.
5
Let r be (1/(-2))/(2/384). What are the prime factors of r/(-4)*9/12?
2, 3
List the prime factors of (-51)/(-85) + 1*(-797)/(-5).
2, 5
Suppose 2*x + 4*r = -22, -27 = 2*x + r + 4*r. What are the prime factors of x/2 - (-119)/14?
2
Suppose 0*l - 40 = -4*m + 4*l, -3*m = 5*l - 38. What are the prime factors of m?
11
Let k(n) = -n + 5. List the prime factors of k(-15).
2, 5
What are the prime factors of 500/18 - 4/(-18)?
2, 7
Let w = 213 - 140. What are the prime factors of w?
73
Suppose 0 = -2*o - 3*o. Suppose 0*v - 3*v + 19 = 2*k, 5*k + 2*v - 20 = o. What are the prime factors of k?
2
What are the prime factors of (-2 + 1)/(7/(-721))?
103
Let w be 94*(-1)/(-2) + 3. Suppose 4*j = -4*q + 44, -4*j - 2*q + w = -q. What are the prime factors of j?
13
Let z(d) = 4*d**2 + 4*d. List the prime factors of z(-3).
2, 3
Suppose -90 = -0*f - 5*f + 5*a, -2*f - a = -21. What are the prime factors of f?
13
List the prime factors of ((-18)/(-45))/((-1)/(-120)).
2, 3
Suppose -27 = -3*a - 5*x, 0 = -a - a + 2*x + 18. Let f = a + -6. List the prime factors of f.
3
Let v be 1*(1 - 0) + 0. Suppose 12 - v = z - 2*k, 2*k = -z + 11. List the prime factors of z.
11
Let i(f) = -f**3 - 6*f**2 - f. What are the prime factors of i(-6)?
2, 3
Let s = 28 + -21. Suppose -s*d + 156 = -3*d. List the prime factors of d.
3, 13
Let m(i) = -11*i**3 + 2*i**2 - 1. Suppose 3*u - 5*y + 3 = 5*u, -2*y = -4*u - 6. List the prime factors of m(u).
2, 3
Let n = 8 + -13. Let j(i) = -4*i**2 - 8*i - 1. Let z(y) = -7*y**2 - 15*y - 3. Let d(h) = 5*j(h) - 3*z(h). What are the prime factors of d(n)?
2
Let c(k) = -6*k + 10. List the prime factors of c(-5).
2, 5
Suppose -2*w + 83 = -0*w + 3*t, t + 71 = 2*w. List the prime factors of w.
37
Suppose 0*v - 4*n = v + 10, -5*v + 4*n + 22 = 0. Suppose 0 = -4*w + v + 14. Suppose 40 = 2*m + 4*z, -w*m - z = -3*z - 30. List the prime factors of m.
2, 5
Suppose 3*k + 233 = 3*h - k, -h + 91 = -4*k. What are the prime factors of h?
71
Let a = 160 + -67. List the prime factors of a.
3, 31
Let y(r) = -2*r - 4. Let h = 10 - 7. Let b be y(h). Let z = b + 20. What are the prime factors of z?
2, 5
Let i(b) be the first derivative of -b**5/120 - b**3/3 - 2. Let s(a) be the third derivative of i(a). List the prime factors of s(-4).
2
Suppose 3*b = -2*s + 32, 4*b - 2*b + 3*s - 28 = 0. List the prime factors of b/3 + 3/9.
3
Let m(g) = -g**3 - 2*g**2 + g + 49. List the prime factors of m(0).
7
Let m(l) = 29*l + 12. Let p be m(6). Suppose 12 = -3*f + p. What are the prime factors of f?
2, 29
Suppose -2*x - 3*x = -4*z - 314, 5 = -5*z. List the prime factors of x.
2, 31
Let k = -2 - -2. Suppose k = -2*f - 6 + 40. List the prime factors of f.
17
Suppose -5*i + 25 = 70. Let w = i - -15. List the prime factors of w.
2, 3
Suppose 2*x = -0*x + 4. Suppose -3*t - t = x*g, -g = t. Suppose -m + 2*m - 12 = t. What are the prime factors of m?
2, 3
Let x(v) = -v. Let n be x(-4). Let f be 0/2 - (3 - n). What are the prime factors of (-1)/f*1*-6?
2, 3
Suppose -3*u = -4*a - 59, -8*a + 3*a - 73 = -3*u. What are the prime factors of (1 + a)/(12/(-12))?
13
Let g(q) = -q**3 - 5*q**2 + 6*q + 5. Let l be g(-6). Let v = 8 - l. List the prime factors of v.
3
List the prime factors of (21/3)/((-6)/(-30)).
5, 7
Let s = -7 - -20. What are the prime factors of s?
13
Let i be (-5)/10*1*2. What are the prime factors of ((-3)/(-1))/(i/(-5))?
3, 5
Let q(y) be the first derivative of y**4/24 + y**3/2 + y**2 + 2. Let c(m) be the second derivative of q(m). List the prime factors of c(7).
2, 5
What are the prime factors of (-7)/(9/12 + 17/(-20))?
2, 5, 7
Let c(p) be the third derivative of -p**5/60 + p**4/8 + p**3/2 - 2*p**2. Let h be c(3). Let w = -1 + h. What are the prime factors of w?
2
Let d be (1 + -3 - 2) + 6. List the prime factors of (-1356)/(-30) + d/(-10).
3, 5
Suppose 5*x + 20 = 0, 2*x = -2*t + 4*x + 52. List the prime factors of t.
2, 11
Suppose -4*w - 8 = 2*l, 3*w + 3 + 6 = 0. Let c be (0 - -1)*(0 + 3). Suppose -c*h = l*h - 50. What are the prime factors of h?
2, 5
Let w = 6 + -3. Suppose -w*g + 5 = -2*g. Suppose -g*s + 2*z = -2*z - 50, 0 = -3*z. What are the prime factors of s?
2, 5
Suppose 1 = -2*c - 5*h - 6, h = -4*c + 13. Let q = 9 - c. Suppose -11 + 76 = q*y. What are the prime factors of y?
13
Let b(u) be the first derivative of 4*u**3/3 - 2. List the prime factors of b(1).
2
Let n(v) be the first derivative of -v**4/4 - 4*v**3/3 + 3*v**2/2 + v + 1. What are the prime factors of n(-5)?
11
Suppose 17 = n + 4*w, 4*n - 5*w = 6*n - 19. Let p(v) = 3*v**2 - 3*v + 1. List the prime factors of p(n).
37
Let f be (-1 + -4)*(-2)/5. Suppose -f*y + 9 = -3*i, y - i = 2*i + 6. Let s = 9 - y. What are the prime factors of s?
2, 3
Suppose -4*n + 126 = 18. Let k be (-4)/((-12)/n) - 2. Suppose -3*z + k = -26. List the prime factors of z.
11
Let h(n) = n**2 - 19*n + 22. What are the prime factors of h(22)?
2, 11
Let b(c) = c**3 - 8*c**2 - 26*c + 3. List the pri
|
{
"pile_set_name": "DM Mathematics"
}
|
t is seven quarters of a year in months?
21
How many hours are there in 7.659989 days?
183.839736
How many grams are there in 15/4 of a kilogram?
3750
What is 8.110674um in kilometers?
0.000000008110674
How many hours are there in 28.842774 minutes?
0.4807129
Convert 56793.29 millennia to decades.
5679329
How many tonnes are there in 19.49345ng?
0.00000000000001949345
What is 1/20 of a litre in millilitres?
50
What is fourty-four fifths of a microgram in nanograms?
8800
How many nanoseconds are there in 952.7908 seconds?
952790800000
Convert 81477.06l to millilitres.
81477060
What is 847467.3l in millilitres?
847467300
How many minutes are there in 27/4 of a hour?
405
What is 3/50 of a litre in millilitres?
60
What is 3/25 of a litre in millilitres?
120
What is 8/25 of a millennium in decades?
32
How many millilitres are there in 9851.954l?
9851954
How many milliseconds are there in 19/4 of a second?
4750
How many millilitres are there in thirty-seven fifths of a litre?
7400
How many millilitres are there in fifty-five quarters of a litre?
13750
How many nanometers are there in one quarter of a micrometer?
250
How many years are there in 93.73287 months?
7.8110725
Convert 55.10736 centimeters to kilometers.
0.0005510736
How many millilitres are there in 53/5 of a litre?
10600
What is eighteen sevenths of a week in hours?
432
How many centuries are there in 7547.55 millennia?
75475.5
How many nanograms are there in 387939.9 tonnes?
387939900000000000000
How many milliseconds are there in 0.5722172 hours?
2059981.92
How many months are there in 657.8445 millennia?
7894134
What is 1/20 of a gram in micrograms?
50000
What is fifty-five quarters of a litre in millilitres?
13750
What is fourty-four fifths of a centimeter in micrometers?
88000
What is 11/2 of a millisecond in microseconds?
5500
What is five eighths of a millimeter in micrometers?
625
How many minutes are there in one fifteenth of a hour?
4
Convert 1.2912ug to milligrams.
0.0012912
How many millennia are there in 5658.007 years?
5.658007
How many hours are there in 11207.43ms?
0.003113175
How many nanometers are there in 47/4 of a micrometer?
11750
What is 3/5 of a micrometer in nanometers?
600
How many days are there in 0.3182623 weeks?
2.2278361
How many meters are there in 50.34605nm?
0.00000005034605
How many meters are there in 25.64049 nanometers?
0.00000002564049
What is 6/25 of a millennium in months?
2880
How many milligrams are there in 46/5 of a gram?
9200
What is five eighths of a tonne in kilograms?
625
How many millilitres are there in seventy-four fifths of a litre?
14800
What is 44/5 of a litre in millilitres?
8800
What is six fifths of a gram in milligrams?
1200
What is 7/2 of a milligram in micrograms?
3500
What is 406.6358 millilitres in litres?
0.4066358
What is nine tenths of a millimeter in micrometers?
900
What is one fifth of a decade in months?
24
How many micrograms are there in 8/25 of a milligram?
320
What is 1070.758 weeks in nanoseconds?
647594438400000000
What is 13/5 of a litre in millilitres?
2600
Convert 7315.8138 minutes to days.
5.08042625
How many tonnes are there in 4.295381ng?
0.000000000000004295381
What is 235.6512ns in minutes?
0.00000000392752
How many millilitres are there in fourty-five quarters of a litre?
11250
Convert 0.0306402 millennia to years.
30.6402
How many kilograms are there in three fifths of a tonne?
600
Convert 982.5133g to milligrams.
982513.3
How many hours are there in 88716.39 days?
2129193.36
What is 3/5 of a minute in seconds?
36
What is 3/25 of a micrometer in nanometers?
120
How many millilitres are there in eleven eighths of a litre?
1375
How many litres are there in 61.79787ml?
0.06179787
How many minutes are there in 7.742023 days?
11148.51312
How many micrograms are there in 6305.014 grams?
6305014000
How many minutes are there in twenty-three thirds of a week?
77280
Convert 9.867324m to centimeters.
986.7324
How many millimeters are there in sixty-seven fifths of a meter?
13400
Convert 9.7994 millennia to years.
9799.4
What is 918.4806mg in micrograms?
918480.6
What is seven quarters of a decade in months?
210
What is 634.3384ng in milligrams?
0.0006343384
Convert 33.58183 decades to centuries.
3.358183
How many minutes are there in 1/10 of a week?
1008
How many months are there in four fifteenths of a decade?
32
What is 7.146689km in micrometers?
7146689000
What is twenty-one halves of a litre in millilitres?
10500
What is 3/10 of a millennium in years?
300
What is 73663.22 millilitres in litres?
73.66322
How many litres are there in 8093.12ml?
8.09312
What is thirty-one fifths of a gram in milligrams?
6200
What is 5/4 of a century in months?
1500
How many micrograms are there in 6.405523 grams?
6405523
What is 836724.8um in millimeters?
836.7248
What is 26845.93 kilometers in millimeters?
26845930000
Convert 866103.1 micrometers to kilometers.
0.0008661031
What is 258419.7ml in litres?
258.4197
Convert 5.2086645 minutes to days.
0.003617128125
How many months are there in 6.791986 years?
81.503832
What is 0.9456472g in nanograms?
945647200
What is five quarters of a hour in minutes?
75
Convert 8354.413ml to litres.
8.354413
What is seventeen quarters of a millennium in years?
4250
How many milligrams are there in 6/25 of a gram?
240
How many years are there in 11/10 of a decade?
11
What is 7.207255t in milligrams?
7207255000
How many months are there in 0.9823928 centuries?
1178.87136
How many millimeters are there in 3/5 of a meter?
600
Convert 730.2519 decades to months.
87630.228
How many litres are there in 19.11015 millilitres?
0.01911015
What is 8599.509 millilitres in litres?
8.599509
What is eleven halves of a century in decades?
55
Convert 0.3595291t to grams.
359529.1
What is 194960.85 days in weeks?
27851.55
How many milligrams are there in seven quarters of a gram?
1750
What is 354104.4 litres in millilitres?
354104400
How many meters are there in 25/4 of a kilometer?
6250
Convert 11683.12 kilograms to tonnes.
11.68312
How many years are there in fourty-six fifths of a decade?
92
What is 3/32 of a second in microseconds?
93750
How many milliseconds are there in one sixteenth of a minute?
3750
How many years are there in twenty-one quarters of a century?
525
What is 271136.7 years in decades?
27113.67
What is 26/5 of a millimeter in micrometers?
5200
What is 59/3 of a minute in seconds?
1180
How many seconds are there in 5/6 of a hour?
3000
What is thirty-one fifths of a day in minutes?
8928
How many decades are there in one fifth of a millennium?
20
How many litres are there in 9.068887 millilitres?
0.009068887
What is 4275.01 micrometers in centimeters?
0.427501
How many months are there in 21/5 of a decade?
504
What is 96674.55 litres in millilitres?
96674550
What is seven thirds of a decade in months?
280
What is eleven halves of a millimeter in micrometers?
5500
How many years are there in 409660.9 decades?
4096609
What is three fifths of a tonne in kilograms?
600
What is one tenth of a second in milliseconds?
100
How many decades are there in 37.90754 years?
3.790754
How many months are there in ten thirds of a decade?
400
What is three eighths of a microgram in nanograms?
375
How many micrograms are there in 312535.8t?
312535800000000000
How many microseconds are there in 211.4689 hours?
761288040000
How many seconds are there in 7/16 of a day?
37800
What is 1/4 of a millennium in months?
3000
How many hours are there in eleven halves of a week?
924
How many millilitres are there in 1/4 of a litre?
250
Convert 139012.6kg to grams.
139012600
How many milliseconds are there in 37.60509 minutes?
2256305.4
Convert 1.843659 months to centuries.
0.0015363825
How many nanometers are there in 247.4983cm?
2474983000
Convert 48.91915 years to months.
587.0298
Convert 803317.6 years to decades.
80331.76
Convert 9500.276l to millilitres.
9500276
How many minutes are there in 0.129984us?
0.0000000021664
How many years are there in 13/5 of a decade?
26
Convert 27139.08 minutes to hours.
452.318
How many months are there in seven halves of a millennium?
42000
What is 230.8771 kilograms in nanograms?
230877100000000
What is 107418.69 months in decades?
895.15575
How many seconds are there in one ninth of
|
{
"pile_set_name": "DM Mathematics"
}
|
hen o is divided by 11?
8
Let a = 98 - 83. Let m(p) = 9*p - 118. What is the remainder when 166 is divided by m(a)?
13
Suppose 0 = 55*l + 9276 - 39141. What is the remainder when l is divided by 184?
175
Suppose 853 = -38*h - 796 + 2181. Suppose -2*y = -138 + 2. Suppose -124 = -3*q + y. What is the remainder when q is divided by h?
8
Suppose -36*m = 18*m - 6750. Calculate the remainder when m is divided by 3.
2
Let p = -12666 - -12682. Suppose -9 - 5 = -2*m. Calculate the remainder when p is divided by m.
2
Let p(w) be the third derivative of 5*w**4/24 - 5*w**3/3 - 19*w**2. Let r(z) = -55*z**3 - z**2 - z + 1. Calculate the remainder when r(-1) is divided by p(6).
16
Let y = -638 + 1243. What is the remainder when y is divided by -23 + (15 - (14 + -30))?
5
Suppose 428 = -123*j + 1781. What is the remainder when 212/6*3/2 is divided by j?
9
Let f be 633*(-3)/(-12) + (-42)/(-56). Let d = f - 125. What is the remainder when d is divided by 9?
7
Suppose -2*m = h + h - 22, -2*h = -m + 14. Let t = 126 - 281. Let w = 223 + t. Calculate the remainder when w is divided by m.
8
Let d = 3115 - 3106. What is the remainder when 638 is divided by d?
8
Let v = 52 - 44. Let y(m) = -m + 22. Let g be y(v). Suppose 3*s - g = -3*n + 10, 3*n - 3*s = 12. Calculate the remainder when 17 is divided by n.
5
Let b = -36560 - -36588. What is the remainder when 842 is divided by b?
2
Let d = 1 - 1. Suppose 57 = -d*o + 3*o. Let y = 1429 + -1393. Calculate the remainder when y is divided by o.
17
Suppose -136*f = 67*f + 51*f - 230632. Calculate the remainder when f is divided by 14.
12
Let s(p) = -754*p + 2368. Suppose h - 57 = -2*g, -6*g + 3*g = 5*h - 96. Calculate the remainder when s(3) is divided by g.
25
Suppose 0 = -6*b - 9*b + 1520 + 490. What is the remainder when b is divided by 15?
14
Suppose -26*h = -1753 + 557. Let k(l) be the third derivative of l**5/15 + l**4/24 - 2*l**3/3 - 9*l**2. What is the remainder when k(-5) is divided by h?
45
Let m = -15537 - -22609. What is the remainder when m/38 - (-7 - (-540)/76) is divided by 21?
18
What is the remainder when 7/(8 - -6)*1342 is divided by 107?
29
Suppose -2*s + 6960 = 10*b, 4*b + 3*s + 2070 = 7*b. What is the remainder when 707 is divided by b?
12
Suppose -3*z = -12, -u + 21 + 5 = -2*z. Let n = 115 - -7. What is the remainder when n is divided by u?
20
Suppose 121*f - 41744 = 14642. Calculate the remainder when f is divided by 39.
37
Suppose 3*c - 512 = 133. Suppose -2*b = 2*v - 78, 2*v + 108 = -156*b + 160*b. What is the remainder when c is divided by b?
29
Suppose -15*k + 59*k = 4224. What is the remainder when 3550 is divided by k?
94
Suppose -71746 = -112*v - 7122. What is the remainder when v is divided by 53?
47
Suppose -2*v + 964 = 2*v + 2*u - 1376, 0 = -u. Calculate the remainder when v is divided by 29.
5
Suppose 16*h = 7414 - 5798. Calculate the remainder when 7472 is divided by h.
99
Let x = -4505 + 4620. What is the remainder when 219 is divided by x?
104
Let j be ((-40)/(-4 + 0))/(4/(-44)). Let z = -102 - j. What is the remainder when 143 is divided by z?
7
Suppose -2011 + 1516 = -5*q. What is the remainder when 191 is divided by q?
92
Let p = -142 - -237. Let w = 20649 - 20607. Calculate the remainder when p is divided by w.
11
Suppose -2*q + 32 = 5*w, 24 = 557*w - 561*w. Suppose 2*h + 14 = p, 6 - 2 = -4*h. Calculate the remainder when q is divided by p.
7
Let v = 6172 - 6170. Calculate the remainder when 507 is divided by v.
1
Let l be 1683/(-68)*(-16)/3. Let d be 360/(-54)*l/(-10). Let s = -74 + d. Calculate the remainder when s is divided by 6.
2
Let l(v) = -2*v**2 - 4*v - 2. Let a be l(-2). What is the remainder when 17/51*(-2 - -50) is divided by (-22)/(-4)*2*(a + 3)?
5
What is the remainder when 399 is divided by (-10824)/770 + 14 - 8264/(-70)?
45
Let h(o) = -11*o - 14. Let r(g) be the first derivative of g**2/2 + 6*g + 12. What is the remainder when h(-3) is divided by r(-2)?
3
Suppose -870 - 1943 = -12*n - 809. Calculate the remainder when 594 is divided by n.
93
Suppose -168*r - 32306 = -148394. Calculate the remainder when r is divided by 208.
67
Let g(i) = -7*i - 9. Let r be g(-2). Let x be (87 + -2)/r - 2. Suppose -x + 9 = -3*b. Calculate the remainder when 2 is divided by b.
0
Suppose -53*m + 21*m + 7501 = 589. Calculate the remainder when 760 is divided by m.
112
Let z(i) = 91*i + 8038. What is the remainder when 390 is divided by z(-88)?
0
Suppose -20*f - 7*f = -0*f - 6561. Calculate the remainder when f is divided by 61.
60
Let f(j) = 26*j**2 + 71*j + 1836. What is the remainder when f(-27) is divided by 44?
41
Calculate the remainder when 1291950/3828 - 3*1/(-2) is divided by 42.
3
Let r = -4689 + 4926. What is the remainder when 7107 is divided by r?
234
Let u(o) = 5*o + 59. Let w(p) = -2*p - 1. Let j(m) = -u(m) + 5*w(m). What is the remainder when j(-11) is divided by 52?
49
Let h(q) = 18*q**2 + 19*q - 101. What is the remainder when h(4) is divided by 14?
11
Suppose -278*h + 430218 = 181*h + 55*h. What is the remainder when h is divided by 14?
11
Suppose 8*o = -21 + 21. Suppose -10*u + 15*u - 2855 = o. What is the remainder when u is divided by 41?
38
Suppose 0 = -6*r + 4*r - 5*x + 20, 3*r + 3*x = 30. Suppose 9*j = r*j + 4. Calculate the remainder when 166 is divided by (-625)/(-15) + j/(-12).
40
Let y(l) = -8*l - 186. Let p be y(-31). Suppose -53*b + p*b = 99. Calculate the remainder when 62 is divided by b.
7
Let l(s) = 4*s - 7. Let o be l(3). Suppose o*u + 6*x - 114 = 8*x, -x - 24 = -u. What is the remainder when 62 is divided by u?
18
Let w = -33 + 48. Let t = w + -7. Let j(o) = -12*o**2 - 101*o - 113. Calculate the remainder when j(-6) is divided by t.
5
Let n = 1598 - 989. Let y = -586 + n. Calculate the remainder when 250 is divided by y.
20
Let i = -13094 - -16529. What is the remainder when i is divided by 1716?
3
Suppose 8*z = 6*z + 338. Let g = 288 - z. Let p = g - 66. What is the remainder when p is divided by 19?
15
Suppose 3*t = -0*t + 2*s + 8, 0 = t + s - 1. Suppose t*i - 6 = 4*y, 0*y + i = -2*y - 1. Calculate the remainder when 0 + 2 + y - (-19 - -6) is divided by 11.
3
Let t(v) = -15*v**2 + 159*v + 59. What is the remainder when t(9) is divided by 83?
26
Let b = -412 + 600. Let q be -4 - (0 - (b - 3)). Suppose -4*j = -5*n + q - 27, -2*n = 3*j - 57. What is the remainder when 55 is divided by n?
25
Suppose 4*y + 2*r - 2050 = 0, 56*y - 51*y = 4*r + 2608. What is the remainder when y is divided by 23?
10
Suppose -2*q + 110 = 5*v - 4*q, 5*v = -q + 110. Suppose -11*p - 60 = -577. Suppose -p - 32 = -w - 4*u, -u = 0. What is the remainder when w is divided by v?
13
Let m be -26*19/(-2) - -3. Suppose 6*j = j + m. Suppose 3*o + 65 = -3*k + 350, -2*k + 3*o + 210 = 0. Calculate the remainder when k is divided by j.
49
Suppose -40 = -5*a - 5*g, 5*a + 14 = 2*g + 40. Suppose 0 = a*h - 307 - 101. Calculate the remainder when 474 is divided by h.
66
Let d(u) = -5*u**2 + 252*u + 26. What is the remainder when 5668 is divided by d(9)?
1
Let o(l) = -2*l + 79. Let n(t) = t**3 - 10*t**2 + 4*t + 47. Calculate the remainder when o(28) is divided by n(9).
1
Let h = 226 - 215. Suppose 6*l = h*l - 115. What is the remainder when 110 is divided by l?
18
Let f = 133 - 125. Let x(l) = -3*l**2 + 38*l - 6. What is the remainder when x(f) is divided by 9?
7
Let y be (-41)/246 - (-2)/12. Suppose 51 = z + 5*u, y*z - 4*z + 109 = u. What is the remainder when z is divided by 16?
10
Let a(f) = -f**3 - 22*f**2 + 80*f + 143. Calculate the remainder when 1091 is divided by a(-25).
11
Suppose -760 = -8*b - 30*b. Let v = b + -6. Calculate the remainder when 362 is divided by v.
12
Suppose 0 = 2*z - n - 17, z - n - 4*n + 5 = 0. What is the remainder when 42 is divided by 24/(-1020)*-17 - (-266)/z?
15
Suppose 9753 - 649 = 2*t - b, -2*b = -t + 4555. Calculate the remainder when t is divided by 99.
96
Suppose -6 = -6*p + 24. Suppose -a + 16 = r, -p*a + 84 = 2*r + 19. Suppose -7*x - a = -8*x. What is the remainder when 40 is divided by x?
7
Let k(a) = 126*a + 46. Let p(m) = -2*m**3 - 10*m**2 + m - 8. What is the remainder when p(-7) is divided by k(0)?
43
Suppose 0 = -47*j + 44 + 285. Suppose -98 = j*g - 308. Let s = -21 - -78. Calculate the remainder when s is divided by g.
27
Let w(m) = -3*m - 10. What
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let c = -106 - -188. Suppose -u = -2*r + 37, -4*r + 4 + c = 2*u. Calculate the lowest common multiple of r and p.
20
Let p = 0 - -3. Calculate the least common multiple of (12 + -15 + 10)*(1 + 0) and p.
21
Suppose 5*i - 58 - 27 = 0. What is the common denominator of -5/2 and (-2)/i + 2058/(-136)?
4
Let z = -24269/3 - -8070. Calculate the common denominator of z and 211/90 + 2/(-5).
18
Calculate the least common multiple of (-42)/63*(-2 - 28)/2 and 14/3*(-12)/(-4).
70
Let p be (-3*12/(-42))/(4/3325). Suppose -m = 4*b - 736, 3*m - b - 2193 = 2*b. Let c = p - m. What is the common denominator of 11/4 and c?
4
Let y be 300/(-40)*(2*1)/3670. Let p = 15963/367 - y. Find the common denominator of p and -21/11.
22
Let q = -83 - -83. Suppose m = -r + 19, m = -q*m + 3*r + 23. What is the lowest common multiple of (-84)/(-9)*(-3)/(-2) and m?
140
Suppose -5*s + 9*s = -332. Let b = s + 101. Calculate the lowest common multiple of 9 and b.
18
Let j = -93 - -65. Let v(r) = r**3 - 13*r**2 + 10*r + 13. Let p be v(12). What is the common denominator of j and (-2)/p - (-692)/(-176)?
4
Let x = 94156569447/1185032 - 635639/8. Let w = 8147537/32736509 - x. Let j = w - -20003/2210. Find the common denominator of -93/14 and j.
70
What is the common denominator of -9/112 and (-4)/(-18) - ((-3829)/(-504) + 0)?
112
Let o = 1739 + -19090/11. Find the common denominator of -20/49 and o.
539
Let r(y) = -3*y**2 - 21*y - 1. What is the common denominator of r(-8) and (-58)/12 + -1 + 2?
6
Let i = -213532219289/1578 - -135318256. Let j = i - -2/263. Calculate the common denominator of j and 2/(-6) + (-229)/42.
42
Let v = -60010 - -3240433/54. What is the common denominator of v and (-1 + 218/30)/1?
270
Let f be ((-12)/(-3))/(-4) + -22. Let h = f - -38. Suppose -2*o + h = -3*u, 4*o - 3*u - 8 = 19. Calculate the lowest common multiple of 2 and o.
6
Let l = -1 + 0. Let s be l*((-1000)/21 - -2). Let w = 47/42 - s. Find the common denominator of w and 49/16.
16
Suppose 2*d + 3*h - 21 = 16, 5*d = -h + 86. What is the least common multiple of d and 187?
187
Calculate the common denominator of 49/36 and 157/(-12) + -9 + 10 + 3.
36
Let c be (-5306)/(-4)*57/15. Let x = 5031 - c. Let z = 59854/11 + -5437. Find the common denominator of z and x.
110
Let i be ((-36)/(-32)*14)/((-9)/(-48)). Suppose i = 13*p - 202. Calculate the smallest common multiple of p and 6.
66
Let z = -5531/280 - -372/35. Find the common denominator of z and 7/139.
1112
Let a = 602 + -600. Suppose 4*q = -2*s + 6, -3*s + 2*q + 3*q + 9 = 0. Suppose 20 = j + 4*r, -a*j - s*r = -r - 40. What is the least common multiple of j and 8?
40
Let o = 15 + -19. Let y = o - -6. Calculate the common denominator of -1 + y + (-124)/(-48) and -89/8.
24
Let w = -9/1409 - 68933/16908. Find the common denominator of w and 133/36.
36
Let s(q) = 4*q**2 - 5*q - 8. Let f(c) = 9*c**2 - 11*c - 16. Let k(l) = -3*f(l) + 7*s(l). Calculate the lowest common multiple of k(6) and 84.
336
Let u be 1080 + (-1)/(-1) + -2. Find the common denominator of 93/22 and u/156*1/4.
528
Let l(q) = 5*q**2 + q + 2. Let f = 4 - 3. Calculate the least common multiple of l(-1) and f.
6
Let x = 27/27782 + -178082917/305602. Let j = -582 - x. Calculate the common denominator of j and 30/11.
11
Let i = 20395 - 2039543/100. Find the common denominator of i and -101/80.
400
Let l = -7 - -10. Suppose -4*w = -2*h - 4, -l*h + 3*w - 7 - 2 = 0. Calculate the common denominator of -69/14 and (h + 142/36)*-133.
126
Suppose 5*a = 3*k + 29, -1 + 9 = 5*a + 4*k. Let l = 10 - 6. Let m = l + -2. Calculate the smallest common multiple of a and m.
4
Suppose 5*z - 452 = 3*r + 263, r - 143 = -z. What is the least common multiple of 65 and z?
715
Let i(t) = t**2 - 6*t - 7. Let s(h) = -h + 2. Let d be s(0). Suppose 0 = -b + d. Calculate the least common multiple of i(8) and b.
18
Let z = -2 + 4. Find the common denominator of (-73)/(-20) + -1*z and (-127)/40 - (-6)/(-16).
20
Let y = -14033 + 22975/2. Let n = 637 - 3133. Let a = n - y. Find the common denominator of a and 37/4.
4
Let d be 22/((-5)/20 - 0). Find the common denominator of (-36)/d + (1 - 2) and -43/20.
220
What is the common denominator of 6/(-120)*(-2 + 230/(-140)) and -99/14?
280
Let w(u) = -u**2 - 3*u + 33. Let v be w(-7). Suppose 5*h - 4*g - v - 43 = 0, -5*h - 5*g + 30 = 0. What is the least common multiple of h and 5/1*12/10?
24
Suppose -4*u - 90 = 166. Suppose 0 = -2*f - c + 113 + 87, 4*f - 402 = -3*c. Calculate the common denominator of 91/8 and 2/u*(f - 5).
16
Let n = 178163041542729986327/3064998 + -58128273343974. Let d = n + -2/30049. Let l = 40/17 + d. Calculate the common denominator of l and -41/4.
12
Let h = -187 + 287. What is the lowest common multiple of 100 and h?
100
Let d = -2967 + 14882/5. Find the common denominator of -2*14/(-4) + 6/9 and d.
15
Let p = 4281/8990 - 25/58. Let v = p + 115/62. What is the common denominator of -23/6 and v?
30
Let r(u) = -3*u**3 - 2*u**2 - 2*u. Let m(d) = -96*d + 8170. Calculate the smallest common multiple of m(85) and r(-2).
20
Let x be -16 + 8 + 0/1. Let h = -3 - x. Suppose -2*r + 13 - h = 0. Calculate the lowest common multiple of 20 and r.
20
Let a = -18 + 75/4. Let o = 212/3 + -193/6. What is the common denominator of o and a?
4
Let j = 26 - 12. Let w(v) = -v**2 + 2*v - 1. Let m(y) = 5*y**2 - 9*y + 3. Let t(z) = 2*m(z) + 9*w(z). What is the least common multiple of j and t(-5)?
154
Let h = -23 - -13. Let g be 12*(-1)/(4/h). Suppose -g = -2*u - u. What is the least common multiple of 1 and u?
10
Suppose a - 10 = -p, 0*p - 3*a - 74 = -5*p. Let y(j) = j**3 - 14*j**2 + 14*j - 5. Calculate the least common multiple of 4 and y(p).
8
Let p(y) = -y**3 - 8*y**2 + 4*y + 11. Let o be p(-8). Let a be (12/o)/((-4)/14). Suppose -56 = -0*g - a*g. Calculate the common denominator of g and -34/11.
11
Suppose -d - 381 = -4*b, -5*b + 12*d = 7*d - 465. Calculate the smallest common multiple of 96 and b.
96
Calculate the common denominator of (30/(-520))/(4 + -3) and -73/14.
364
Let h = 36 - 26. Let b(m) = m**3 - 11*m**2 + 10*m + 2. Let o be b(h). Suppose o*l - 13 - 27 = 0. Calculate the least common multiple of l and 8.
40
Suppose -10*u + 8*u = -6. What is the smallest common multiple of 28 and (4 - u) + 30 - -1?
224
Let j = 6155/6 + -1021. What is the common denominator of 56/189*(6 + 27)*21/(-182) and j?
78
Suppose 0*w + w - 36 = 0. Let k = w + -35. Calculate the lowest common multiple of k and 1.
1
Suppose -4*s + 41 = 5*y, -y + 14 = y + s. Suppose y*q + 0*p - 3 = 4*p, -3*q = 5*p - 24. What is the least common multiple of 2 and q?
6
Calculate the lowest common multiple of 11 and ((-29)/29)/(3/(-90)).
330
Let n(j) = j + 6. Let p be n(0). Let u = -36391/7 + 5207. Calculate the common denominator of p/9*(-73)/(-2) and u.
21
Let w(k) = 11*k**2 - 2*k - 3. Let q be w(-1). Suppose 22 = q*y + 2. Calculate the lowest common multiple of y and 19.
38
Let u = -278 + 820. Find the common denominator of 67/60 and u/528 - (-34)/187.
120
Let g(r) = -r**3 - 7*r**2 + 21*r + 184. Let j = 0 - -46. Calculate the lowest common multiple of g(-6) and j.
506
Let l = -2346293 + 32889477/14. Let c = 2950 - l. Calculate the common denominator of -19/90 and c.
630
Let q be (10 - 3 - 47)*(-4)/(-10). Let i = 40 + q. What is the least common multiple of 15 and i?
120
Find the common denominator of 95/26 and 7 + (-72)/9 + (-855)/(-460).
1196
Suppose 4*r = 12 + 28. Suppose -2 = x + r. Let i = x + 16. What is the lowest common multiple of i and 9?
36
Suppose -5*l = -4*l - 2. What is the common denominator of -29*1/8 + l and 3/(-1) - (-129)/6?
8
Let i be 1 + 4/(-2) - 962. What is the common denominator of i/66*(-1)/(-3) and 65/12?
132
Let c be (17661/36)/(-7) - (-2)/3. Let y = c + 505/6. Calculate the common denominator of -1/6 and y.
12
Calculate the common denominator of -101/4 and (-1)/(-2)*(1 + 36/272).
136
Suppose 11 + 9 = -2*n. Let t be (n/6)/((-3)/(-18)). What is the common denominator of ((-4)/t)/(28/(-265)) and 53/8?
56
Let c = -2927/3689767 + 1743653892667/157073381190. Let k = -2/21285 + c. Let y = -2072 + 4239/2. Calculate the common denominator of k and y.
10
Let f be (-1)/((-1)/15) - 1. Let w = -422/7 - -6037/84. What is the common denominator of (-275)/(-56) + (-4)/f and w?
24
Let u = -3193/10 + 1567/
|
{
"pile_set_name": "DM Mathematics"
}
|
*3/6 - 27*m + 2. Calculate a(l(o)).
6241*o**2
Let n(d) = -1862*d. Let x(a) = a - 36. What is n(x(q))?
-1862*q + 67032
Let j(p) = 19*p + 2. Let m(z) be the first derivative of -z**3 - 75. Determine j(m(y)).
-57*y**2 + 2
Let l(s) be the third derivative of 1/24*s**4 + 0 + 0*s + 2*s**2 + 0*s**3. Let n(g) be the first derivative of -7*g**2/2 + 343. Give l(n(k)).
-7*k
Let v(w) = -w**2. Let r(d) = -688*d - 9. Give r(v(u)).
688*u**2 - 9
Let m(t) = -16*t. Let l(h) be the first derivative of 4/3*h**3 + 7 + 0*h**2 + 0*h. Determine l(m(o)).
1024*o**2
Let d(b) be the third derivative of -13*b**4/24 - 62*b**2. Let v(f) = 9*f**2. Give v(d(a)).
1521*a**2
Let b(l) = 2*l. Let n(t) = -97*t - 8. Let j(k) = 17170*k + 1414. Let i(d) = 4*j(d) + 707*n(d). Give i(b(r)).
202*r
Let b(o) = 8*o**2 - 20*o - 40. Let f(d) = -d**2 + 3*d + 6. Let k(w) = 3*b(w) + 20*f(w). Let p(g) = -100*g. What is p(k(r))?
-400*r**2
Let q(i) = -i. Let n = -23 - -28. Suppose 3*t = 3*p - 45, -3*p - n*t - 3 = -2*p. Let h(x) = -5*x**2 + p*x**2 - 12*x**2. Give q(h(b)).
5*b**2
Let i(t) be the third derivative of -23*t**5/120 - t**3/6 - t**2. Let j(g) be the first derivative of i(g). Let o(h) = 316*h - 643*h + 325*h. Give o(j(l)).
46*l
Let d(y) = -108*y**2. Let p(r) = 3*r + 5*r - 14*r + 8*r. Give p(d(o)).
-216*o**2
Let c(r) = -27399*r**2. Let v(z) = -z. Calculate c(v(a)).
-27399*a**2
Suppose -11*q = -19*q + 40. Let c(z) = -3*z**2 - 2*z - 2. Let l(p) = -7*p**2 - 5*p - 5. Let a(m) = q*c(m) - 2*l(m). Let b(j) = -7*j**2. Calculate b(a(t)).
-7*t**4
Let t(y) = -2*y**2 - 105. Let i(h) = 8*h**2 + 4*h**2 - 14*h**2 + 7*h**2. Determine t(i(p)).
-50*p**4 - 105
Let j be 66/15 - 15/(-25). Let l(u) = 4*u - j + 9 - 4. Let v(m) = 3*m. Give v(l(k)).
12*k
Let x(w) = 28*w + 5758 - 5758 + 13*w. Let v(u) = 12*u. Calculate v(x(s)).
492*s
Let o(p) = -p + 4. Let y(b) = -2*b + 12. Let d(i) = 3*o(i) - y(i). Let z(f) = 4*f**2. What is z(d(w))?
4*w**2
Let c(m) = 3*m. Let i(z) = 10 - z - 18 - 2. Determine c(i(w)).
-3*w - 30
Let d(a) = -a. Let n(s) = -14437*s**2. What is d(n(k))?
14437*k**2
Let u(k) = -k - 7958. Let x(l) = 2*l. Calculate x(u(r)).
-2*r - 15916
Let x(c) = -35*c + 32*c + 16*c. Let n(h) be the second derivative of -h**5/120 - h**3/6 + 2*h. Let r(t) be the second derivative of n(t). Give x(r(b)).
-13*b
Let g(b) be the second derivative of -5*b**3/6 + 3*b. Let t(w) = -5*w**2 + 3*w. Let v(o) = -o**2 + o. Let s(h) = -t(h) + 3*v(h). Calculate g(s(c)).
-10*c**2
Let q(m) be the first derivative of -m**2/2 + 1. Let u(o) = -o. Let y(s) = 4*s. Let b = 2 + -1. Let i(j) = b*y(j) + 6*u(j). What is i(q(f))?
2*f
Let a(m) = m**2. Let o(q) = 74857*q**2. Determine o(a(f)).
74857*f**4
Let z(c) = -3*c**2. Let k(i) be the third derivative of -i**5/30 - 4*i**3/3 + 29*i**2 + 3*i. Determine k(z(v)).
-18*v**4 - 8
Let a(l) = -2207*l**2. Let c(z) = -2*z + 4. Calculate c(a(b)).
4414*b**2 + 4
Let n(g) = -3*g**2. Let q(m) be the first derivative of -22*m**3/3 - 39. Determine q(n(f)).
-198*f**4
Let w(y) = 7*y - 1. Let r(f) = f**2 + 91*f. What is r(w(j))?
49*j**2 + 623*j - 90
Let j(r) = 8*r + r**2 - 8*r. Let y(x) = -x. Let f(d) = 3*d. Let b be 4 - 2 - (1 + 2). Let h(m) = b*f(m) + 6*y(m). What is h(j(t))?
-9*t**2
Let i(r) = -6*r**2. Let l(w) = -2*w**2 - 67*w**2 - 35*w**2 - 50*w**2 + 12*w**2. Give l(i(d)).
-5112*d**4
Let j(q) = -14459*q. Let w(c) = -58*c. Calculate w(j(i)).
838622*i
Let s(z) = 82*z**2 - 35 + 35 - 81*z**2. Let u(l) be the third derivative of -l**2 + 0*l + 0 + 0*l**3 + 1/6*l**4. Determine s(u(o)).
16*o**2
Let n(l) = -74*l**2 - 2. Let a(d) be the third derivative of d**5/60 - 78*d**2. Give a(n(i)).
5476*i**4 + 296*i**2 + 4
Let z(o) = -14*o**2 + 6*o**2 + 4*o**2. Let n(w) be the second derivative of w**3/3 + 50*w. Determine n(z(g)).
-8*g**2
Let z(d) = -2*d**2. Let y(t) = -39*t**2 + 363*t + 6. Give y(z(c)).
-156*c**4 - 726*c**2 + 6
Let h(p) be the first derivative of 8*p**3/3 + 3. Let i(n) = n**2 + 59*n - 59*n. What is i(h(m))?
64*m**4
Let n(t) = 2*t**2. Let d(j) = -3119367*j. What is n(d(h))?
19460900961378*h**2
Let x(c) = -2*c. Let w(h) = -44018*h. Determine w(x(v)).
88036*v
Let w(y) be the second derivative of y**4/12 - 13*y**2/2 + 13*y. Let c(k) be the first derivative of w(k). Let j(q) = 2*q**2 + q - q. Determine c(j(t)).
4*t**2
Let q(k) = k + 10. Let b be q(-5). Let l(h) = 3*h + 3*h - b*h - 3*h. Let o(t) = -7*t. Let i(g) = 20*g. Let u(d) = -6*i(d) - 17*o(d). What is l(u(v))?
2*v
Let q(z) = -z. Let b(t) = -t**2 - 154*t - 1 + 95*t + 77*t + 1. What is q(b(u))?
u**2 - 18*u
Let j(w) = 2*w**2 + 23*w. Let c(o) be the second derivative of o**4/12 - 459*o. Determine j(c(u)).
2*u**4 + 23*u**2
Let g(p) = -3*p**2. Let c(r) be the third derivative of r**5/20 - 118*r**2. Calculate g(c(d)).
-27*d**4
Let u(h) = -2*h. Let d(k) = 11*k - 3. Let o(j) = -9*j. Let m(c) = 5*d(c) + 6*o(c). Give u(m(z)).
-2*z + 30
Let w(x) = x**2 - 1. Let y(t) = 3*t**2 - 4. Let g(z) = -4*w(z) + y(z). Let h(q) = -7*q**2 + 2. Determine h(g(u)).
-7*u**4 + 2
Let b(i) = -i**2. Let c(y) = -1471 - 207*y + 1471. Calculate b(c(h)).
-42849*h**2
Suppose 6*h - 366 - 36 = 0. Let f(v) = -67*v + h*v - 2*v**2. Let r(z) = -15*z. Calculate f(r(l)).
-450*l**2
Let c(k) = 3*k. Suppose 5*y + 2*n - 5*n - 15 = 0, 5*n - 3 = -y. Let z be (-2 + 2)*(-1)/y. Let p(r) = -4*r + 3*r + z*r. Give c(p(l)).
-3*l
Let s(u) = 3*u**2. Let f(q) = 2*q**2 - 39928. What is f(s(g))?
18*g**4 - 39928
Let f(o) = 51*o**2 - 170. Let h(m) = 13*m**2 - 40. Let l(z) = -4*f(z) + 17*h(z). Let i(t) = -29*t. Determine i(l(k)).
-493*k**2
Let z(t) = -3*t**2. Let s(b) be the first derivative of 12*b**3 + 35. What is z(s(w))?
-3888*w**4
Let y(o) be the second derivative of -o**4/12 - 51*o**2 + 32*o + 4. Let f(s) = -4*s**2. Calculate y(f(t)).
-16*t**4 - 102
Let s(k) = 38*k + 5. Let h(r) = -548*r**2. Calculate s(h(m)).
-20824*m**2 + 5
Let b(y) = -6*y**2. Let j(x) = -399068*x. Determine j(b(o)).
2394408*o**2
Let w(z) be the first derivative of -4 + 0*z - 1/3*z**3 + 0*z**2. Let x(c) = -7*c - 5. Let m(s) = -6*s - 4. Let p(i) = 5*m(i) - 4*x(i). Give p(w(a)).
2*a**2
Let o(d) = 2*d + 1. Let h(l) = -l**2 - 2*l - 1. Let x(j) = -9*h(j) - 9*o(j). Let w(p) = -79*p. Give w(x(m)).
-711*m**2
Let k(s) be the second derivative of s**4/12 + 3*s + 1. Let h(v) be the second derivative of v**3/6 - 3*v**2/2 - 11*v. What is k(h(j))?
j**2 - 6*j + 9
Let s(w) be the second derivative of 0*w**3 - 5/6*w**4 + 0 + 0*w**2 + 9*w. Let a(o) = -o**2. What is a(s(f))?
-100*f**4
Let p(x) = 2*x**2. Let j(k) be the first derivative of 106*k**2 + 257. Calculate j(p(l)).
424*l**2
Let a(j) be the second derivative of 11*j**3/6 - 7*j - 83. Let i(f) = 2*f + 5. Give i(a(c)).
22*c + 5
Let r(p) = 2*p**2. Let b(q) = 5*q**2 - 2*q - 5. Let t(z) = 11*z**2 - 5*z - 9. Let f = -46 - -48. Let k(i) = f*t(i) - 5*b(i). Determine r(k(l)).
18*l**4 - 84*l**2 + 98
Let n(c) = -31*c**2. Suppose k = -m + 6, 4*k = -2*m - k + 24. Let f(z) = 9*z**2 + 7*z**2 - 15*z**m. Calculate f(n(u)).
961*u**4
Let m(b) be the first derivative of 6*b**2 + 4*b + 53. Let f(i) = 2*i**2. What is f(m(y))?
288*y**2 + 192*y + 32
Let m(b) = 2*b - 176. Let z(c) = 2*c + 87. Determine m(z(v)).
4*v - 2
Let b(h) = 501 - 501 + 5*h. Let u(t) = -8*t**2. Calculate b(u(p)).
-40*p**2
Let q(k) = 3*k**2. Let i be (-37)/481 + (-3)/(-39). Let u(g) be the third derivative of -10*g**2 + 0 + 1/60*g**5 + 0*g + i*g**4 + 0*g**3. Determine q(u(h)).
3*h**4
Let f(w) = 3627*w**2. Let a(g) = -8*g. Determine a(f(p)).
-29016*p**2
Let b(k) = 5*k - 35*k - 174*k - 45*k - 143*k. Let l(o) = -o. Give l(b(g)).
392*g
Let k(q) = q**2 - 182. Let h(x) = -81*x. Determine h(k(s)).
-81*s**2 + 14742
Let l(p) = -p - 121. Let w(o) = 5122*o. Give w(l(d)).
-5122*d - 619762
Let c(v) = -v - 1. Let t(x) = 41*x**2 - 6*x - 4. Let u(d) = 4*c(d) - t(d). Let l(n) = 2*n. Give u(l(i)).
-164*i**2 + 4*i
Suppose -3*i = -3*y + 6*y - 45, -3*i + 31 = 2*y. Let o(a) = -a - 7*a - y*a. Let z(r) = -r. Calculate o(z(k)).
22*k
Let t(l) = 13*l + 31*l + 31*l + 20*l - 119*l. Let b(a) = 6*a**2 - 4*a - 4. Let r(j) = -j**2 + j + 1. Let o(g) = b(g) + 4*r(g). Give o(t(p)).
1152*p**2
Let m(l) = -9*l - 3. Let q(h) = 17*h + 5. Let n(j) = -5*m(j) - 3*q(j). Let u(k) = k + 15. Let r be u(-10). Let t(g) = 2 + 3 + 2*g - r. Calculate n(t(o)).
-12*o
Let d(h) = -4*h. Let c(f) = f**2 - 3*f - 1595. What is d(c(l
|
{
"pile_set_name": "DM Mathematics"
}
|
8
Convert -2 (base 13) to base 9.
-2
Convert 251 (base 7) to base 13.
a4
1 (base 7) to base 16
1
What is -2 (base 14) in base 2?
-10
What is -213 (base 5) in base 10?
-58
Convert -1 (base 4) to base 5.
-1
-3122 (base 4) to base 7
-431
88 (base 13) to base 11
a2
What is 28 (base 10) in base 5?
103
Convert -2 (base 12) to base 4.
-2
What is -39 (base 10) in base 3?
-1110
What is -7 (base 16) in base 4?
-13
Convert 13 (base 6) to base 11.
9
What is 50 (base 7) in base 8?
43
What is b (base 14) in base 12?
b
Convert -2 (base 9) to base 12.
-2
Convert 22 (base 9) to base 16.
14
What is -433 (base 6) in base 11?
-140
Convert 5 (base 15) to base 14.
5
Convert -65 (base 7) to base 9.
-52
What is 11c (base 14) in base 10?
222
-14 (base 11) to base 14
-11
What is -10 (base 7) in base 13?
-7
8a (base 16) to base 6
350
Convert 4 (base 14) to base 10.
4
Convert 3 (base 4) to base 16.
3
10 (base 4) to base 12
4
What is -341 (base 6) in base 15?
-8d
What is -65 (base 9) in base 7?
-113
1034 (base 5) to base 14
a4
What is 75 (base 12) in base 11?
81
What is -2201 (base 4) in base 15?
-ab
What is 3d (base 16) in base 3?
2021
5a (base 15) to base 13
67
-6 (base 13) to base 12
-6
Convert 4 (base 5) to base 13.
4
Convert 6 (base 12) to base 13.
6
What is 34 (base 10) in base 2?
100010
Convert dd (base 16) to base 13.
140
What is -52 (base 7) in base 10?
-37
Convert -12 (base 5) to base 7.
-10
Convert 3 (base 16) to base 8.
3
Convert b (base 15) to base 7.
14
Convert -10001 (base 2) to base 15.
-12
What is -105 (base 8) in base 11?
-63
-5 (base 7) to base 11
-5
-1 (base 11) to base 5
-1
What is 22 (base 3) in base 15?
8
-20 (base 4) to base 8
-10
Convert 29 (base 10) to base 16.
1d
What is 110 (base 2) in base 10?
6
Convert 32 (base 4) to base 8.
16
Convert 221 (base 4) to base 10.
41
What is -8 (base 15) in base 7?
-11
What is 54 (base 6) in base 3?
1021
What is -221 (base 3) in base 2?
-11001
Convert 10100 (base 2) to base 13.
17
Convert -113 (base 11) to base 9.
-160
100 (base 6) to base 5
121
-11 (base 4) to base 9
-5
Convert -11 (base 7) to base 3.
-22
Convert 8 (base 11) to base 5.
13
What is 4 (base 10) in base 11?
4
100 (base 2) to base 14
4
Convert -32 (base 12) to base 9.
-42
Convert 2 (base 12) to base 6.
2
Convert 424 (base 9) to base 3.
110211
Convert 0 (base 12) to base 3.
0
-12 (base 3) to base 16
-5
-1222 (base 3) to base 16
-35
Convert 3 (base 16) to base 14.
3
Convert -2 (base 8) to base 3.
-2
Convert 2 (base 8) to base 9.
2
87 (base 9) to base 3
2221
Convert -222 (base 4) to base 3.
-1120
What is a (base 13) in base 11?
a
Convert -12 (base 4) to base 2.
-110
Convert -3 (base 5) to base 16.
-3
-52 (base 7) to base 8
-45
What is 72 (base 15) in base 9?
128
2020 (base 3) to base 2
111100
What is 10 (base 11) in base 14?
b
2122 (base 3) to base 8
107
-2 (base 5) to base 7
-2
What is -5 (base 10) in base 5?
-10
What is 243 (base 10) in base 4?
3303
-43 (base 10) to base 5
-133
What is 1 (base 15) in base 3?
1
Convert 33 (base 7) to base 6.
40
What is -7 (base 13) in base 16?
-7
Convert -12 (base 5) to base 14.
-7
Convert -317 (base 8) to base 4.
-3033
What is b (base 15) in base 14?
b
1001 (base 4) to base 6
145
What is -d (base 14) in base 10?
-13
What is -223 (base 4) in base 5?
-133
-e7 (base 16) to base 9
-276
What is 95 (base 14) in base 12?
ab
What is -46 (base 8) in base 11?
-35
Convert 24 (base 16) to base 3.
1100
What is -11 (base 2) in base 14?
-3
What is -31 (base 5) in base 3?
-121
Convert -4 (base 9) to base 2.
-100
What is -24 (base 8) in base 7?
-26
Convert -11 (base 9) to base 3.
-101
What is -2 (base 11) in base 13?
-2
-110 (base 6) to base 8
-52
Convert 46 (base 9) to base 12.
36
What is -1001011 (base 2) in base 13?
-5a
What is e (base 15) in base 16?
e
-1 (base 9) to base 14
-1
Convert 10 (base 2) to base 12.
2
-40 (base 16) to base 15
-44
Convert -54 (base 9) to base 7.
-100
Convert -21 (base 3) to base 8.
-7
Convert 0 (base 4) to base 9.
0
What is -331 (base 6) in base 15?
-87
Convert -11100111 (base 2) to base 14.
-127
Convert -3 (base 5) to base 15.
-3
Convert 23 (base 5) to base 15.
d
What is 0 (base 3) in base 14?
0
What is -5 (base 13) in base 15?
-5
Convert 0 (base 4) to base 8.
0
Convert 15 (base 7) to base 4.
30
Convert -1 (base 8) to base 6.
-1
110 (base 3) to base 6
20
What is 200 (base 6) in base 2?
1001000
Convert -212 (base 4) to base 12.
-32
What is -7 (base 14) in base 16?
-7
What is 2 (base 8) in base 3?
2
What is -40 (base 13) in base 9?
-57
-234 (base 5) to base 9
-76
What is -3200 (base 4) in base 13?
-143
Convert -3 (base 14) to base 10.
-3
What is -12 (base 5) in base 10?
-7
-158 (base 9) to base 12
-b2
1 (base 10) to base 7
1
What is 10 (base 4) in base 9?
4
1c (base 13) to base 5
100
What is -22 (base 4) in base 5?
-20
-57 (base 10) to base 8
-71
Convert 5a (base 15) to base 4.
1111
1 (base 6) to base 3
1
2 (base 10) to base 8
2
Convert -30 (base 6) to base 11.
-17
What is 6 (base 9) in base 16?
6
Convert 3 (base 4) to base 5.
3
What is 324 (base 6) in base 14?
8c
0 (base 11) to base 14
0
-4f (base 16) to base 4
-1033
Convert -3 (base 12) to base 7.
-3
What is -25 (base 7) in base 16?
-13
-36 (base 10) to base 15
-26
Convert -2 (base 14) to base 13.
-2
Convert -6 (base 16) to base 10.
-6
What is 17 (base 9) in base 7?
22
What is -1 (base 2) in base 15?
-1
What is 5 (base 13) in base 2?
101
Convert -a (base 11) to base 16.
-a
Convert 1b (base 14) to base 7.
34
47 (base 10) to base 5
142
Convert 0 (base 10) to base 14.
0
-d (base 16) to base 15
-d
What is 2 (base 5) in base 9?
2
Convert -a9 (base 13) to base 15.
-94
3 (base 7) to base 16
3
Convert 0 (base 10) to base 9.
0
0 (base 8) to base 6
0
2 (base 11) to base 16
2
Convert -21 (base 7) to base 11.
-14
What is -3 (base 14) in base 2?
-11
Convert 0 (base 11) to base 13.
0
What is 3 (base 8) in base 3?
10
What is -103 (base 11) in base 13?
-97
Convert 1000111 (base 2) to base 6.
155
-1 (base 2) to base 16
-1
What is 137 (base 12) in base 5?
1222
What is -30 (base 7) in base 12?
-19
Convert -1 (base 12) to base 16.
-1
7 (base 13) to base 9
7
What is 123 (base 4) in base 8?
33
What is -27 (base 10) in base 7?
-36
Convert 2 (base 12) to base 16.
2
-6 (base 13) to base 11
-6
Convert -250 (base 6) to base 2.
-1100110
What is -2012 (base 4) in base 8?
-206
2 (base 6) to base 3
2
-3 (base 11) to base 14
-3
Convert 30 (base 10) to base 14.
22
Convert 221 (base 3) to base 11.
23
What is -b (base 13) in base 3?
-102
103 (base 8) to base 9
74
Convert 90 (base 10) to base 2.
1011010
-40 (base 13) to base 4
-310
What is 2 (base 11) in base 14?
2
Convert -9 (base 14) to base 4.
-21
What is -2 (base 10) in base 7?
-2
1 (base 13) to base 16
1
What is 0 (base 8) in base 11?
0
What is 0 (base 7) in base 10?
0
What is -2 (base 8) in base 16?
-2
What is -52 (base 14) in base 6?
-200
What is -3 (base 10) in base 9?
-3
What is 12 (base 7) in base 2?
1001
Convert 3 (base 9) to base 8.
3
What is 26 (base 10) in base 11?
24
130 (base 4) to base 5
103
What is -14 (base 7) in base 13?
-b
Convert 46 (base 8) to base 9.
42
What is d2 (base 15) in base 12?
145
What is 343 (base 5) in base 4?
1202
Convert -1b (base 12) to base 9.
-25
Convert -10a (base 11) to base 14.
-95
-45 (base 11) to base 16
-31
5 (base 8) to base 3
12
100100001 (base 2) to base 14
169
What is -43 (base 5) in base 12?
-1b
Convert 8 (base 13) to base 16.
8
What is 11 (base 5) in base 4?
12
Convert -48 (base 11) to base 8.
-64
What is -2 (base 11) in base 12?
-2
Convert 121 (base 6) to base 4.
301
Convert 19 (base 15) to base 7.
33
Convert 7 (base 12) to base 2.
111
-1 (base 15) to base 2
-1
-3 (base 15) to base 13
-3
-1 (base 2) to base 13
-1
Convert -2 (base 3) to base 10.
-2
2 (base 11) to base 13
2
What is 9 (base 16) in base 13?
9
What is 4 (base 16) in base 15?
4
What is -420 (base 5) in base 2?
-1101110
What is 1 (base 10) in base 6?
1
What is -1 (base 3) in base 12?
-1
1 (base 6) to base 9
1
Convert 1 (base 12) to base 8.
1
Convert -10 (base 4) to base 5.
-4
What is -2 (base 8) in base 9?
-2
-2 (base 8) to base 10
-2
What is 11 (base 5) in base 13?
6
What is -195 (base 10) in base 11?
-168
Convert 123 (base 4) to base 10.
27
Convert -3a (base 12) to base 15.
-31
2 (base 13) to base 9
2
-21 (base 9) to bas
|
{
"pile_set_name": "DM Mathematics"
}
|
00001
Let t be (-14)/(-18) + 60/27 + -2. Let p(d) = 279*d - 5. Let y be p(t). What is y rounded to the nearest 10?
270
Let l(t) = -2*t**2 + 9*t - 14. Let z(i) = -3*i - 6. Let k be z(-8). Let v be l(k). Round v to the nearest 1000.
-1000
Let r = -2.53625 - -2.56. Round r to three decimal places.
0.024
Suppose l + 3 + 12 = -5*j, -l + 5 = 0. Let h(y) = -737498*y**2 + 7*y - 4. Let u be h(j). Round u to the nearest one million.
-12000000
Let d = -0.1343 - -0.18088. Let v = d + -0.046. What is v rounded to four decimal places?
0.0006
Let i = -0.0238 + 0.02379523. Round i to seven decimal places.
-0.0000048
Let q = -6.9356 + 0.1056. Round q to one decimal place.
-6.8
Let t = -16165576 + -22234424. What is t rounded to the nearest one million?
-38000000
Let h = 1.63 + -1.5. Let u = h - 0.12991. What is u rounded to four decimal places?
0.0001
Let a be (-40)/(-5) + -12 + -23249996. What is a rounded to the nearest 1000000?
-23000000
Let a(q) = -1685*q**2 - 4*q - 3. Let m be a(4). Let i = -19413 - 68566. Let d = m - i. What is d rounded to the nearest 10000?
60000
Let u = 34315 - -17985. What is u rounded to the nearest one thousand?
52000
Suppose 3*f - 2*q = -2064894, f + 2*q + 403676 = -284630. What is f rounded to the nearest 10000?
-690000
Let t(r) = 21*r**2 - 22*r - 29. Let y be t(-8). Round y to the nearest 100.
1500
Let v = -0.74 + 0.08. Let u = v + 0.15. Round u to one decimal place.
-0.5
Suppose 26*r = -2*r + 50008. What is r rounded to the nearest 10?
1790
Suppose 2*f - 6*f + 16 = 0. Let w be -9 - (f + 1/(-1)). Let c be (-20760006)/w - 2/4. Round c to the nearest 100000.
1700000
Suppose -h = -3*b + 5892, 0 = 2*h - 0*b + 2*b + 11776. Let c = 7811 - h. What is c rounded to the nearest 1000?
14000
Suppose -20612 = -3*d - 5729. Suppose 10*s + 3939 = -d. Round s to the nearest one hundred.
-900
Let q(u) = -8736*u**3 + 3*u**2 + 12*u + 24. Let p(k) = -k**3 - k + 1. Let s(z) = 3*p(z) + q(z). Let i be s(-13). Round i to the nearest one million.
19000000
Suppose -5*b + 122170 = -4*n, 10418 + 14027 = b - 3*n. What is b rounded to the nearest one hundred?
24400
Let r = -0.03 + -0.07. Let h = r + 5.1. Let q = 4.999906 - h. Round q to five dps.
-0.00009
Suppose 158350012 = -5*b - 4*r, -5*b + 0*b = 5*r + 158350015. What is b rounded to the nearest 1000000?
-32000000
Let l(p) = 25*p + 5 - 14 + 0. Let g be l(3). Round g to the nearest ten.
70
Let j = 710.300011334 + -710.3. Round j to 6 decimal places.
0.000011
Let f = -5.148 + 5.3. Let r = f - -4.298. Round r to one dp.
4.5
Let g(x) = -x**2 - 10*x + 24. Let y be g(-12). Suppose 4*r - 6063 + 63 = y. Round r to the nearest one thousand.
2000
Suppose 10*a + 15946875 = 40590235. Suppose 0 = 2*y + 475664 + a. What is y rounded to the nearest one hundred thousand?
-1500000
Let a = -77.8081 + 0.0881. What is a rounded to the nearest integer?
-78
Let j(n) = -n**3 + 16*n**2 + 2*n - 30. Let k be j(16). Suppose -x - 365 = -2*w - 3*w, -766 = 2*x + k*w. What is x rounded to the nearest one thousand?
0
Let i = 32 - 29. Suppose -i*v - 15 = 102. Round v to the nearest ten.
-40
Let m(z) = 3*z - 25. Let v be m(10). Suppose -t = -v*c - 4772356 - 32577644, -37350000 = 5*c - 2*t. What is c rounded to the nearest 1000000?
-7000000
Let l = -0.800599 + 0.8. Round l to five dps.
-0.0006
Let u = 76 + -39. Let r = 121 - u. What is r rounded to the nearest 10?
80
Let f = 0.0002 - 0.00156. What is f rounded to 4 decimal places?
-0.0014
Let h be (78 + 0)*20/6. Let a = 36 - -55. Suppose x - h = -a. What is x rounded to the nearest ten?
170
Let u(z) = z**3 + 13*z**2 + z - 2. Let h be u(-13). What is h rounded to the nearest ten?
-20
Let v = -124 + 96.8. Let u = -27 - v. What is u rounded to 1 dp?
0.2
Let w = -274497 + 274613.0763. Let c = w + -116. Round c to two decimal places.
0.08
Let l = 3159 + -7046. Let u = -3883.997 - l. Let f = u - 3. Round f to 2 dps.
0
Let o = 689.388 + -2.888. What is o rounded to the nearest 10?
690
Let b = 8931 - 8930.34928. Let q = b - 0.65. Round q to 4 dps.
0.0007
Let a = 269 - 269.000000269. Round a to 7 decimal places.
-0.0000003
Let d be (18/(-3))/((-6)/8). Let t(f) = 5*f**3 + 4*f - 11. Let a be t(d). Suppose a = -o - 497419. What is o rounded to the nearest 1000000?
-1000000
Let p = 0.1042 + -0.11568. Round p to 3 decimal places.
-0.011
Let h = -7 - -204. Let s = -197.00356 + h. Round s to three decimal places.
-0.004
Let r be (1 + (-14)/(-2))/((-2)/(-19)). Round r to the nearest ten.
80
Suppose 0 = -4*v - j + 7, 4*v = 5*j - 0 + 13. Suppose -1881 = w - 5*o + 284, -o + 4339 = -v*w. What is w rounded to the nearest one thousand?
-2000
Let r = -1.023 - -19.363. Let k = r + 0.16. Let i = k - 31.2. What is i rounded to 0 decimal places?
-13
Let g = 0.1 - 0. Let f = 7.15935 - 7.05934988. Let t = f - g. What is t rounded to 7 dps?
0.0000001
Let o = -473.1 + 578. What is o rounded to the nearest 100?
100
Let c = -3.3 - 13. Let p = -14.4 - c. Round p to the nearest integer.
2
Let p = -6 + 15. Suppose 15 = 3*u, f - u = -f - p. Let q(m) = 54999*m - 2. Let n be q(f). Round n to the nearest 100000.
-100000
Let x be 750/(-15)*7/((-7)/2560). What is x rounded to the nearest ten thousand?
130000
Let m = 43710.299788 - 43710. Let f = -0.3 + m. Round f to five dps.
-0.00021
Suppose -18*b = -14*b + 16109720. Let p be 0 - 3/(-3) - 827431. Let o = p - b. What is o rounded to the nearest one million?
3000000
Let t = -0.18 + -30.82. Let u = 30.9948 + t. What is u rounded to 3 dps?
-0.005
Let u = -2.72 + 2.366. Let q = 2.424 + u. Round q to 1 dp.
2.1
Let g = -22 - -22. Suppose 4*m + g*m - 119999980 = 0. Suppose -4*w + h = m, 0 = -5*w + 3*w + 5*h - 14999975. What is w rounded to the nearest 1000000?
-8000000
Let n = 1930 + -1929.8044. What is n rounded to 2 dps?
0.2
Let i = 122416.27325 - 94594.2718. Let l = i + -27823. Let q = l - -1. What is q rounded to four decimal places?
0.0015
Suppose 6*l - 80999976 = -0*l. Suppose -w + 0*w = 4*q + l, 0 = 3*w - 2*q + 40500002. What is w rounded to the nearest one million?
-14000000
Suppose 97*s - 2545 = 92*s. What is s rounded to the nearest 10?
510
Let l = 0.214786 - 0.2175. Round l to four decimal places.
-0.0027
Suppose -3*w + 386 = 1340. Let u = -48 - w. Let r = 440 - u. Round r to the nearest 100.
200
Let q = 781.001131 - 781. What is q rounded to 5 dps?
0.00113
Let x(s) = 161*s - 5. Let w be x(1). Round w to the nearest one hundred.
200
Let s = -146 - 16. Let l = s - -161.99893. What is l rounded to 4 dps?
-0.0011
Suppose 4*j = -3*j - 2*j. Let i be 20*-1*(j - 8000). What is i rounded to the nearest 1000000?
0
Let j = 50.08 + -51. Let o = j + 0.9274. Round o to 3 decimal places.
0.007
Let x = -787999 + 787965.0043. Let b = -34 - x. What is b rounded to 4 decimal places?
-0.0043
Let k = -7309.023 - -7304. Let a = -17 - -12. Let v = k - a. Round v to 3 decimal places.
-0.023
Let t = 16 + -15.71. Let z = t - -30.71. Let n = 30.927 - z. What is n rounded to two dps?
-0.07
Let c = -511 + 209. Round c to the nearest ten.
-300
Let i = -15 - -1. Let p = 13.9995 + i. What is p rounded to 3 decimal places?
-0.001
Let x = 70 + -822. Let f be (5310/20)/((-6)/x). Suppose 5*z + 1533251 = -5*c + f, -5*z + c - 1500005 = 0. Round z to the nearest one million.
0
Let y = 641 + -641.333. Let k = y + 0.3329839. Round k to 6 dps.
-0.000016
Let u(s) = -17*s**3 + 9*s**2 - 58*s - 14. Let m be u(-19). What is m rounded to the nearest one thousand?
121000
Let u = 2388.4457236 + 0.0582764. Let p = u + -2289.50453. Let t = -99 + p. Round t to four dps.
-0.0005
Let d = 1923.2294532 - 2011.22945273. Let b = d - -88. Round b to seven dps.
0.0000005
Suppose -1257000 = 10*y + 5*y. Round y to the nearest 10000.
-80000
Let a(s) = 1566*s**3 - s - 1. Let m be a(-1). What is m rounded to the nearest 100?
-1600
Let y = -5.5 - 28.5. Let z = -36.05 - y. Round z to one decimal place.
-2.1
Let i = 0.043 - 118.043. Let a = 125 - i. Let f = 242.999869 - a. What is f rounded to 5 decimal places?
-0.00013
Let q = 8 + 3. Let w = -25 + q. Let f = w + 13.832. What is f rounded to 2 decimal places?
-0.17
Let m = -3332189.79233 - -3332205. Let d = m + 154.77373. Let a = d - 170. What is a rounded to 3 dps?
-0.019
Let z = 1.455 + 141.845. What is z rounded to the nearest 10?
140
Let r = -240272473 + 230202804.7. Let l = -10069668.8
|
{
"pile_set_name": "DM Mathematics"
}
|
5/25 + 9*l**4/5 - 12*l**3/5 - 2*l**2/5 + 12*l/5 + 6. Determine n, given that f(n) = 0.
-1/2, 1, 3
Let c(p) be the first derivative of -3/4*p**2 - 1/2*p**3 + 0*p - 3. Factor c(s).
-3*s*(s + 1)/2
Let q(y) be the second derivative of y**7/1680 - y**6/360 + 3*y**3/2 + 8*y. Let p(z) be the second derivative of q(z). Factor p(w).
w**2*(w - 2)/2
Let b(r) be the first derivative of -5/18*r**4 - 2/3*r**3 - 4/9*r - 2/45*r**5 + 1 - 7/9*r**2. Factor b(i).
-2*(i + 1)**3*(i + 2)/9
Let k(o) = 4*o**5 - 10*o**4 + 8*o**3 - 4*o**2 - 2*o - 2. Let t(u) = -9*u**5 + 21*u**4 - 15*u**3 + 8*u**2 + 5*u + 5. Let y(n) = 5*k(n) + 2*t(n). Factor y(d).
2*d**2*(d - 2)*(d - 1)**2
Let -7/4*w - 3/4*w**3 + 2*w**2 + 1/2 = 0. Calculate w.
2/3, 1
Factor -t**2 + t**2 - 5*t**2 + 7*t**2 - 2.
2*(t - 1)*(t + 1)
Let r = 133 + -131. Suppose 0*v**r + 0*v + 2/7*v**3 + 0 = 0. Calculate v.
0
Suppose -3*k + 11 = -6*k - 2*q, k + q + 4 = 0. Let f be (-7)/(-2) + k + 0. Factor -3/2*c**2 + 1/2*c**5 + 3/2*c**4 + f*c**3 + 0 - c.
c*(c - 1)*(c + 1)**2*(c + 2)/2
Factor 0 + 2/11*q + 2/11*q**2.
2*q*(q + 1)/11
Factor 0 + 4/3*n**3 - 4/3*n**2 - 8/3*n.
4*n*(n - 2)*(n + 1)/3
Factor 3*d**4 - 3*d**3 + 3*d + 9*d**2 + 4*d**3 + 8*d**3.
3*d*(d + 1)**3
Solve b**3 - b**3 + 0*b**5 - b**5 + b**3 = 0.
-1, 0, 1
Let n(s) be the third derivative of s**8/420 + s**7/42 + s**6/10 + 7*s**5/30 + s**4/3 - 4*s**3/3 - s**2. Let i(o) be the first derivative of n(o). Factor i(z).
4*(z + 1)**3*(z + 2)
Let p(v) be the third derivative of -v**5/60 + v**4/12 - v**3/6 - 11*v**2. Find h such that p(h) = 0.
1
Let o(v) be the third derivative of -v**6/360 - v**5/45 - v**4/18 + 9*v**2. Factor o(k).
-k*(k + 2)**2/3
Solve -10/9*p - 2/9*p**4 + 2/3 + 4/3*p**3 - 4/9*p**2 - 2/9*p**5 = 0.
-3, -1, 1
Let s(i) be the third derivative of i**5/100 - i**4/8 + 2*i**3/5 + i**2. Factor s(o).
3*(o - 4)*(o - 1)/5
Let y(r) be the first derivative of r**5/25 + r**4/15 - 4*r**3/15 - 3*r + 7. Let u(o) be the first derivative of y(o). Factor u(f).
4*f*(f - 1)*(f + 2)/5
Suppose 2/9*o**2 - 8/9 + 0*o = 0. What is o?
-2, 2
Let g(l) = -4*l - 1. Let w be g(-3). Let o = -9 + w. Factor 0*u - 6/7*u**5 - 2/7*u**2 - 10/7*u**3 + 0 - o*u**4.
-2*u**2*(u + 1)**2*(3*u + 1)/7
Let x(a) = -4*a**3 + 6*a**2 - 35. Let o(z) = z**3 + 1. Let c(s) = 6*o(s) + 2*x(s). Solve c(j) = 0 for j.
-2, 4
Let t(v) = -6*v**5 - 6*v**4 + 9*v**3 + 18*v**2 + 3*v + 3. Let l(x) = 7*x**5 + 7*x**4 - 9*x**3 - 19*x**2 - 2*x - 4. Let k(n) = 3*l(n) + 4*t(n). Factor k(d).
-3*d*(d - 2)*(d + 1)**3
Let 14/11*m**3 - 4/11*m**2 + 0 - 2/11*m - 8/11*m**4 = 0. Calculate m.
-1/4, 0, 1
Let k(q) be the second derivative of q**8/6720 - q**7/630 + q**6/180 - q**4/6 + 4*q. Let m(c) be the third derivative of k(c). Let m(o) = 0. Calculate o.
0, 2
Let h(l) be the second derivative of -1/48*l**4 + 1/168*l**7 - 1/80*l**5 + 1/120*l**6 + 0 + 0*l**3 + 5*l + 0*l**2. Let h(c) = 0. What is c?
-1, 0, 1
Let z(b) = -b**3 + 7*b**2 - 11*b + 32. Let g be z(6). Factor -1/2*k**3 - 1 + 3/2*k**g + 1/2*k - 1/2*k**4.
-(k - 1)**2*(k + 1)*(k + 2)/2
Let 0*p + 5/2*p**3 - 7/6*p**2 + 1/6*p**5 + 0 - 3/2*p**4 = 0. Calculate p.
0, 1, 7
Let c(r) be the first derivative of 2*r**5/65 + 5*r**4/13 + 2*r**3/3 - 60*r**2/13 + 72*r/13 + 23. Factor c(u).
2*(u - 1)**2*(u + 6)**2/13
Let y = -17 + 21. Factor 4*k**3 - 3*k**y - 8*k - 3*k**2 - k**3 + 5*k + 6*k**4.
3*k*(k - 1)*(k + 1)**2
Let y(o) = -4*o**5 - 32*o**4 + 24*o**3 + 8*o**2 + 4*o - 24. Let s(n) = n**4 - n**3 + 1. Let h(d) = 24*s(d) + y(d). Factor h(i).
-4*i*(i - 1)*(i + 1)**3
Suppose -5 = 5*r + 5. Let w = 4 + r. Factor -w*z**2 + 2*z**2 - z**4.
-z**4
Let k(l) = -2*l**3 - 44*l**2 - 3*l - 64. Let b be k(-22). Find h, given that -1/4*h**b - 1/4 - 1/2*h = 0.
-1
Let c(f) be the second derivative of -2*f**7/105 + 4*f**6/75 - 2*f**4/15 + 2*f**3/15 + 2*f. What is n in c(n) = 0?
-1, 0, 1
Let s(i) be the first derivative of -i**5/5 - 3*i**4/2 - 13*i**3/3 - 6*i**2 - 4*i + 4. Factor s(o).
-(o + 1)**2*(o + 2)**2
Factor 4*v**5 - 2*v**2 + 7*v**4 + 3*v**2 + 2*v**3 - 5*v**2 + 3*v**2.
v**2*(v + 1)**2*(4*v - 1)
Let w(i) = -i + 6. Let q be w(6). Let j(k) be the second derivative of 0*k**4 + 0 + q*k**3 - 1/30*k**6 + 0*k**2 + 2*k - 1/20*k**5. Solve j(p) = 0.
-1, 0
Suppose -4*i - i = -10. Find q, given that -2*q**i + 3*q + 0*q + 0*q - 2*q + q**3 = 0.
0, 1
Suppose -2*p - 20 = -6*p - 4*h, -7 = -2*p + h. Factor -2/9*u**p + 4/9*u**2 - 2/9 + 0*u**3 + 0*u.
-2*(u - 1)**2*(u + 1)**2/9
Factor 2/3 + 0*w - 1/6*w**2.
-(w - 2)*(w + 2)/6
Let q = 13/5 + -12/5. Factor -3/5*j + 2/5*j**2 + 1/5*j**5 - 3/5*j**4 + q + 2/5*j**3.
(j - 1)**4*(j + 1)/5
Let k(h) be the third derivative of 1/40*h**6 - 1/24*h**4 + 1/24*h**3 - 1/120*h**5 + 3/280*h**7 + 0*h + 0 + 2*h**2. Factor k(u).
(u + 1)**2*(3*u - 1)**2/4
Suppose 5/4*z**3 - 5/4*z + 5/4*z**2 - 5/4 = 0. What is z?
-1, 1
Factor -3/4*o**5 + 0 + 0*o**2 + 0*o - 7/4*o**3 + 11/2*o**4.
-o**3*(o - 7)*(3*o - 1)/4
Factor 1 + 1 + 8*r**2 - 11*r**3 - 17*r**2 - 15*r + 33*r**2.
-(r - 1)**2*(11*r - 2)
Let s(u) be the third derivative of -2*u**7/35 - 11*u**6/30 - 8*u**5/15 + 2*u**4/3 - 23*u**2. Factor s(n).
-4*n*(n + 2)**2*(3*n - 1)
Let g(o) = -2*o**3 + o. Let z(q) = -q**3 + q**2 - 1. Let d(c) = 5*g(c) - 5*z(c). Determine k so that d(k) = 0.
-1, 1
Find k, given that -k**2 + 3*k**2 + k + 0*k**2 - 4*k**3 + k**2 = 0.
-1/4, 0, 1
Let t(q) be the second derivative of -1/24*q**3 + 1/16*q**4 - 1/120*q**6 - 1/4*q**2 + 1/80*q**5 + 5*q + 0. Solve t(h) = 0 for h.
-1, 1, 2
Suppose 3*y = 5*r - 19, 0*y - 16 = -3*y - 2*r. Factor l**y - 3*l**2 - 3*l**3 + 5*l**2.
-3*l**2*(l - 1)
Let n = -3 + 5. Factor -9*m**5 - 11*m**2 + 11*m**n + 2*m**4.
-m**4*(9*m - 2)
Let k(y) = y**4 - 49*y**3 + 124*y**2 - 84*y. Let i(g) = 15*g**4 - 685*g**3 + 1735*g**2 - 1175*g. Let x(s) = -4*i(s) + 55*k(s). Find a, given that x(a) = 0.
0, 1, 4
Let z(f) be the first derivative of -f**4/24 + f**3/18 + 1. Factor z(v).
-v**2*(v - 1)/6
Let p(t) be the second derivative of -t**6/240 - 3*t**5/80 - t**4/8 + 3*t**3/2 - 6*t. Let d(n) be the second derivative of p(n). Factor d(g).
-3*(g + 1)*(g + 2)/2
Let g(m) be the second derivative of 4*m**2 - 5/6*m**4 + 8/3*m**3 - 6*m + 0. Solve g(r) = 0 for r.
-2/5, 2
Let l = -1 + 5. Let -z + 2*z**l - z**3 + 7*z**3 + 2*z**2 + 2*z**4 + z**3 = 0. What is z?
-1, 0, 1/4
Solve 214 + 2*o**5 + 28*o**3 + 32*o**2 + 12*o**4 + 9*o - 210 + 9*o = 0 for o.
-2, -1
Let s(i) = 4*i**3 - 16*i**2 + 12*i - 4. Let k(w) = w**4 - 4*w**3 + 15*w**2 - 12*w + 5. Let m(h) = 4*k(h) + 5*s(h). Let m(z) = 0. What is z?
-3, 0, 1
Let b(l) be the third derivative of -l**5/240 + l**4/24 - l**3/6 + 36*l**2. Factor b(m).
-(m - 2)**2/4
Let o be ((-8)/(-252)*-3)/((-9)/42). Solve o + 2/3*j + 2/9*j**2 = 0.
-2, -1
Let p(s) = 9*s**2 + 14*s - 3. Let q(o) = o**2 + o. Let t(w) = -p(w) + 6*q(w). Determine h so that t(h) = 0.
-3, 1/3
Let m(x) be the third derivative of -x**6/120 - x**5/20 - x**4/8 + x**3/6 - x**2. Let o(j) be the first derivative of m(j). Solve o(p) = 0.
-1
Let l = 2773 - 665519/240. Let j(h) be the third derivative of -l*h**6 + 0 - 1/6*h**3 - 2*h**2 + 1/80*h**5 - 1/840*h**7 + 0*h + 1/24*h**4. Solve j(i) = 0 for i.
-2, 1
Let h be -6*(128/66 + -2). Suppose 2*q - 1 = 3. Factor 0*o + 2/11*o**5 + 0 + 2/11*o**3 - h*o**4 + 0*o**q.
2*o**3*(o - 1)**2/11
Factor -10/7*r**2 + 1/7*r**5 + 10/7*r**3 + 5/7*r - 1/7 - 5/7*r**4.
(r - 1)**5/7
Let b = -25 + 27. Factor 1/5*v**3 + 1/5*v - 2/5*v**b + 0.
v*(v - 1)**2/5
Let f = -66 + 68. Let s(w) be the first derivative of 1/6*w**4 - 2/15*w**5 + 2/3*w**3 - 5/3*w**f - 2 + 4/3*w. Suppose s(t) = 0. What is t?
-2, 1
Let w = 184 - 184. Let b(o) = o. Let s be b(4). Let w*l + 0 + 0*l**3 - 2/3*l**s + 0*l**2 = 0. Calculate l.
0
Let o(d) be the first derivative of 2*d**5/65 - 2*d**3/39 - 9. Factor o(f).
2*f**2*(f - 1)*(f + 1)/13
Let x(q) be the first derivative of 2 + 1/5*q**2 + 0*q + 0*q**3 - 1/10*q**4. Factor x(i).
-2*i*(i - 1)*(i + 1)/5
Let u(w) be the second derivative of w**8/1680 - w**6/120 + w**5/60 + w**3/2 - 3*w. Let h(z) be the second derivative of u(z). Let h(b) = 0. Calculate b.
-2, 0, 1
Let k be ((-5)/(-2))/(5/30). Suppose 2*w = -g + w + 1, -g - k = 5*w. What is i in -7/2*i + 13/2*i**2 - 1/2*i**3 - 7*i**4 + 1/2 + 4*i**g = 0?
-1, 1/4, 1/2, 1
Let s be (-4 + 5)/(7/14). Find d such that 11/6*d + 1/3 + 13/3*d**3 + 4*d**s + 7/3*d**4 + 1/2*d**5 = 0.
-1, -2/3
S
|
{
"pile_set_name": "DM Mathematics"
}
|
b - 6 = -g + 5. What is the units digit of g?
1
Let o(n) = 7*n**3 - n**2 + 11*n + 11. Let t(g) = g**3 + g**2 + g + 1. Let z(i) = -o(i) + 6*t(i). What is the units digit of z(6)?
1
Let o(s) = s**3 + 3*s**2 + 1. Let t be o(-2). Suppose 3*w - k - 17 = 0, -t*w = 3*k + 8 - 41. What is the units digit of w?
6
Let f(w) = -w**2 - 8*w - 7. Let b be f(-6). Suppose 2*x - 1 = b*z, 0 = -3*x + 2*x - 4*z + 33. Let l = 21 - x. What is the units digit of l?
8
Let d be 42/10 + (-2)/10. Suppose 0*g - 145 = -d*t - 5*g, 0 = -t + g + 43. Suppose -2*a + 4*m = 0, -a + 2*m = -4*a + t. What is the units digit of a?
0
Let u(q) = -2*q**3 + q**2. What is the tens digit of u(-2)?
2
Let z be (0/(-5))/(-1*1). Suppose z*g - g = -13. What is the units digit of g?
3
Suppose 3*y = 5*s - 2*y - 305, -s = -3*y - 65. Suppose -s + 11 = -3*p. What is the tens digit of p?
1
Let y = -10 + 10. Suppose -c + 4*b - 5 = y, 4*c - 59 = -3*b - 3. What is the units digit of c?
1
What is the units digit of (-5)/(-1*(0 + 1))?
5
Let o(b) = b**2 - 9*b - 12. Let p be o(9). Let j be (-90)/(-27)*p/5. What is the units digit of (-1 + -5)*12/j?
9
Let p be (-2)/((-4)/10) + 1. Suppose -4*w = -3*a - 18, 3*w = 2*a + p*w - 5. What is the units digit of (a/(-2))/(2/12)?
6
Let i(b) = b**2 + 7*b + 3. Let u be i(-6). Let l = u - -9. What is the units digit of l?
6
Let p(j) = -j**3 - 7*j**2 - j. Let f(s) = s**3 + 8*s**2 + 2*s. Let b be (-1 + 10)*8/(-12). Let h(d) = b*p(d) - 5*f(d). What is the units digit of h(-3)?
3
Let s(f) = -5*f**3 + 2*f**2 + 3*f. Let a be s(-3). Suppose -2*x - 5*i + 60 = 0, -i - a = -4*x + i. What is the tens digit of x?
3
Let m be (1 - 2)*(-2)/(-2). Let q be 2*m/2 - 1. What is the tens digit of 93/9 - q/(-6)?
1
Suppose m = -5*f + 851, -f - 3*f - 3*m + 683 = 0. What is the hundreds digit of f?
1
Let x(i) = -12*i. What is the tens digit of x(-1)?
1
Suppose -w + 74 = -5*w - 3*a, -5*w - 2*a = 96. Let k = 29 + w. What is the units digit of k?
9
Let c be (-2)/(-2 - (-36)/15). Suppose 5*b - 3*j - 59 = -2*j, 5*j = 3*b - 31. Let x = b + c. What is the units digit of x?
7
Suppose -5*x = -2*x - 3. Let i(s) = 2 - 4*s**2 - x + 5*s**2 - 4*s. What is the units digit of i(5)?
6
Let v = -11 + 10. Let x = v + 17. What is the tens digit of x?
1
Suppose -5*c + 12 = -n, -n - 3*c + 52 = 4*n. Let i be n/(-10)*30/(-12). Suppose 5*g = 2*y - 3*y + 58, i*y = 2*g - 16. What is the tens digit of g?
1
Suppose -3*d + 97 = 4*i - 150, -3*i = 5*d - 419. What is the tens digit of d?
8
Let d = -6 + 8. Suppose h - q = -d, -4*h + q = -0*q - 1. What is the units digit of h?
1
Let f = -5 - -6. What is the units digit of 9*(f/3 + 0)?
3
Let w = 81 - 40. What is the tens digit of w?
4
Let n be (-1 - 6/(-4))*6. Let y be n + 17 + 4/(-2). Suppose 4*g = g + y. What is the units digit of g?
6
Let v(k) = 7*k**2 - 3*k + 10. Let z(t) = -t**2 - 1. Let a(h) = v(h) + 6*z(h). What is the units digit of a(3)?
4
Suppose 30 = x + n, 4*n + 149 = 4*x + 5. What is the tens digit of x?
3
Let q be 5/((-15)/8)*-9. Let r be 6/(-4)*160/q. Let p(l) = -l - 9. What is the units digit of p(r)?
1
Let a(v) = 5*v. Let o = -13 - -18. Let x(f) = -f**2 + 11*f + 1. Let k(z) = o*a(z) - 2*x(z). What is the units digit of k(-3)?
7
Let m(r) = 3*r - 2. Let q be m(6). Let c = -11 + q. Suppose k - 3*w = 0, -c*k - w + 30 = -6*w. What is the units digit of k?
9
Let d(h) = -h**3 - 7*h**2 - h - 10. Let q be d(-7). What is the tens digit of q*(-11)/3 + 1?
1
What is the tens digit of 12/60 - 218/(-10)?
2
Let i(o) = -o**2 + 7*o - 7. Let z = 0 - -6. Let t be i(z). What is the units digit of ((-1 - 2) + 2)*t?
1
Suppose 22 = 2*f - 5*f + i, 4*f + 16 = 4*i. Let h(n) = n**3 + 10*n**2 + 6*n - 11. Let r be h(f). What is the units digit of r/1 - (-2 + 4)?
4
Let f = -2 + 3. Suppose s - f = 2*t - 0, 5*t - s = 5. What is the units digit of t?
2
Let l be 1 + 6*(-4)/(-8). Suppose l*f + 23 = 5*f. What is the units digit of f?
3
What is the tens digit of 40 - -9 - (-1 - 1)?
5
Let d = -1 + -1. Let n(x) be the first derivative of -2*x**2 - 3*x + 1. What is the units digit of n(d)?
5
Let y = 4 - 7. Let g = y + 9. What is the units digit of g?
6
Suppose -2*q + 4 = 2*q - 2*z, 13 = -5*q - 2*z. Let j be 0 + (q - 1) - -3. Let u = 2 - j. What is the units digit of u?
1
What is the tens digit of (0 - -40)*2*1/2?
4
Let k(a) = -12*a - 1. Let j be k(1). Let f = -6 - j. What is the units digit of f?
7
Let y(s) = -8*s**3 - s**2 - s - 1. Let r be y(-1). Let n = 24 + -22. Suppose n*z = 9 + r. What is the units digit of z?
8
Let m(x) = -x**2 + 10*x + 12. What is the units digit of m(11)?
1
Let o(q) = -q**3 - 3*q**2 - 2*q + 1. Let p be o(-3). Suppose -3 - p = -i. What is the units digit of i?
0
Let f(z) = -z**2 - 3*z. Let t(b) = -3*b. Let i be t(2). Let g be f(i). Let d = -11 - g. What is the units digit of d?
7
Suppose -13*x + 9*x = 3*s - 506, 4*s + 2*x - 678 = 0. What is the hundreds digit of s?
1
Let t be 5/(-2)*(-8)/10. What is the units digit of 6/(-2 + t + 2)?
3
Let t = -4 - -6. Suppose -10 - 11 = 4*g - 5*a, 3*a - 13 = t*g. What is the units digit of ((-7)/3)/(g/(-3))?
7
Suppose 3*g - 26 = k, 2*g - 11 - 10 = -3*k. What is the units digit of 4/3*g + 2?
4
Let t(s) = -10*s + 14. What is the units digit of t(-5)?
4
Let d be (15 - 0)/1 + 0. Suppose -2*x + 15 = 5*b - 7*x, -b - 5*x = d. Suppose -3*h + 39 - 12 = b. What is the units digit of h?
9
Suppose -2*h - 37 + 7 = 0. What is the units digit of -2 - 0 - h/3?
3
Suppose 5*g + 98 + 272 = 0. What is the tens digit of (0 + g)*6/(-12)?
3
Suppose -b + 8 = 14. Let p = b - -7. Let c = 2 - p. What is the units digit of c?
1
Let p(i) = 3*i**3 - 4*i**2 + 9*i - 10. What is the units digit of p(3)?
2
Suppose -5*u + u = -16. Suppose -5*v + f = -4*v - u, 8 = -v + 4*f. What is the units digit of v/10*(-50)/(-4)?
0
Suppose -4*l + 128 = 2*c + 2*c, 0 = 5*l. Suppose -c = -4*j - 0*j. Suppose -3*p - j + 20 = 0. What is the units digit of p?
4
Suppose -3*c - 4*j = -4, 5*j + 0 = -4*c + 6. What is the units digit of (-6)/(-8) - (-33)/c?
9
Let j = 6 - 2. What is the units digit of (-12 + 1)/((-4)/j)?
1
Let l(k) = -k**2 - 14*k + 4. Let f(h) = h**3 - 6*h**2 - 8*h - 6. Let t be f(7). What is the tens digit of l(t)?
1
What is the units digit of (-8)/3*1701/(-84)?
4
What is the units digit of ((-7)/7)/((-2)/74)?
7
Let p be 50/(-20)*(-4)/5. Suppose p*k + 2*k - 20 = 0. What is the units digit of k?
5
Let c(r) = -r**3 + 14*r**2 - 3*r - 27. What is the units digit of c(12)?
5
Suppose -2 = 2*y - 10. Suppose -2*r + y = -0. Suppose -2 = b + r*f, -44 = -4*b + 5*f + 13. What is the units digit of b?
8
Let t be (252/(-35))/((-3)/20). Suppose 0 = -4*u + u + t. What is the units digit of u?
6
Let h = 135 + -56. What is the tens digit of h?
7
Let g(k) = -k + 14. Let x(o) = o**2 - o - 3. Let s be x(-3). Let w be g(s). Suppose -4*r = -w*r + 6. What is the units digit of r?
6
Let q = 4 + -7. Let m = -5 - -5. What is the tens digit of 10 - q/(m - -3)?
1
Let s(x) = -x**3 - 13*x**2 - 4*x - 19. What is the units digit of s(-13)?
3
Suppose -2*m - 4*t = -59 - 111, t = 2*m - 170. What is the units digit of m?
5
Suppose -2*s + 4 + 2 = 0. Suppose o + s = 0, -4*g + 119 = 5*o + 42. What is the units digit of g?
3
What is the hundreds digit of -2*(-3)/6 - -156?
1
Suppose -2*l + 5 = 4*t - 11, 0 = 5*t + 4*l - 20. Suppose -t = 2*s - 3*s. Suppose s*g - 21 = g. What is the units digit of g?
7
Suppose -5*r = -15, 4*r - 4 = -4*t + 36. Suppose 3*v + 1 = t. Suppose 0 = -2*a + 6 + v. What is the units digit of a?
4
Let o(f) = f**3 - 2*f**2 - f + 3. Suppose -2*t + 18 + 3 = 3*a, 0 = 5*t + 2*a - 25. What is the units digit of o(t)?
9
Let w(b) be the second derivative of b**3/6 + b**2/2 + 3*b. What is the units digit of w(3)?
4
Suppose -20*j + 24*j - 40 = 0. Suppose 6 = -c + j. What is the units digit of c?
4
Let u(h) = h + 7. Let f be u(6). Suppose 5*n - 17 = 28. Let c = f - n. What is the units digit of c?
4
Suppose y - 4*y + 18 = 0. What is the units digit of ((-4)/2)/((-2)/y)?
6
What is the units digit of 103/2 + (-4 - (-22)/4)?
3
Let f be (-3)/(9/(-6) - 0). Suppose f*s - 10 = -3*s. What is the units digit of 3 + (-1)/1 + s?
4
What is the units digit of 4 - 28*(-4)/2?
0
Suppose -2*x + 48 = -4*y, -y - 3*y - 8 = 0. Suppose -3*z + 45 = 4*n, n - 4*z + x = 3*n. What is the units digit of n?
2
Let o(m) = m - 31. Let p(z) = 6. Let l
|
{
"pile_set_name": "DM Mathematics"
}
|
7/5 of a hour in minutes?
804
How many millimeters are there in 789.8664nm?
0.0007898664
What is seventeen sixths of a year in months?
34
What is 7/2 of a day in hours?
84
What is 1773.591 kilograms in tonnes?
1.773591
What is 6703.779mg in grams?
6.703779
How many millilitres are there in thirty-two fifths of a litre?
6400
What is 57518.793 nanoseconds in hours?
0.0000000159774425
How many milliseconds are there in 29/2 of a second?
14500
Convert 0.2749458 millilitres to litres.
0.0002749458
What is 25/8 of a litre in millilitres?
3125
How many minutes are there in 31/2 of a hour?
930
What is 226.1076 nanograms in kilograms?
0.0000000002261076
What is eleven halves of a litre in millilitres?
5500
How many meters are there in three eighths of a kilometer?
375
How many centuries are there in 946883.5 years?
9468.835
Convert 96791.1mg to nanograms.
96791100000
How many seconds are there in three tenths of a minute?
18
What is 0.4335874 centimeters in meters?
0.004335874
What is 0.8524916ng in milligrams?
0.0000008524916
How many millimeters are there in five quarters of a meter?
1250
How many millilitres are there in 13/5 of a litre?
2600
What is seven quarters of a decade in months?
210
How many years are there in 501.3958 decades?
5013.958
How many centimeters are there in 42/5 of a meter?
840
What is 3/40 of a tonne in kilograms?
75
What is 6/25 of a kilometer in centimeters?
24000
How many grams are there in 43.12434 nanograms?
0.00000004312434
What is 4211.344nm in centimeters?
0.0004211344
What is 72249.4ns in milliseconds?
0.0722494
Convert 62.9855l to millilitres.
62985.5
How many grams are there in 25.55043ng?
0.00000002555043
How many millilitres are there in 0.5203723l?
520.3723
How many micrometers are there in 3/50 of a meter?
60000
How many meters are there in 3/10 of a kilometer?
300
How many weeks are there in 3.3552274 days?
0.4793182
How many centuries are there in 809050.2 months?
674.2085
How many seconds are there in 9028.955 minutes?
541737.3
What is fourty-nine fifths of a microsecond in nanoseconds?
9800
How many weeks are there in 2144747.43 microseconds?
0.000003546209375
How many months are there in 6/25 of a millennium?
2880
Convert 85492.97 kilometers to centimeters.
8549297000
How many seconds are there in one quarter of a minute?
15
How many nanograms are there in 3/5 of a microgram?
600
What is one fifth of a microgram in nanograms?
200
How many centuries are there in 4341.632 millennia?
43416.32
Convert 25658.85 millennia to years.
25658850
How many hours are there in 11/2 of a day?
132
What is 1496.991 litres in millilitres?
1496991
What is fifty-one halves of a kilogram in grams?
25500
What is 995.373 years in months?
11944.476
How many micrograms are there in three eighths of a milligram?
375
Convert 71542.57 decades to months.
8585108.4
What is eleven halves of a litre in millilitres?
5500
What is 0.8841905 years in decades?
0.08841905
What is eleven quarters of a tonne in kilograms?
2750
How many milligrams are there in 283.6109kg?
283610900
How many hours are there in ten sevenths of a week?
240
How many months are there in 0.7316682 years?
8.7800184
What is three fifths of a millennium in decades?
60
Convert 408.944 years to millennia.
0.408944
How many weeks are there in 9.620856 nanoseconds?
0.0000000000000159075
What is one quarter of a second in milliseconds?
250
Convert 16.73452 grams to nanograms.
16734520000
How many milligrams are there in 0.8924292g?
892.4292
What is fifty-three quarters of a millennium in decades?
1325
What is 1/5 of a decade in years?
2
Convert 59162.45 millilitres to litres.
59.16245
What is seventeen quarters of a milligram in micrograms?
4250
How many centimeters are there in 3292.28 nanometers?
0.000329228
How many millimeters are there in 21/8 of a meter?
2625
How many nanograms are there in 45/2 of a microgram?
22500
What is 949143.8 micrograms in tonnes?
0.0000009491438
What is twenty-nine halves of a year in months?
174
Convert 0.8614695l to millilitres.
861.4695
What is five sixths of a day in seconds?
72000
What is 2.187192 months in years?
0.182266
How many years are there in 32/5 of a millennium?
6400
Convert 97.2108mm to micrometers.
97210.8
Convert 339.7268 years to months.
4076.7216
How many seconds are there in 26/5 of a hour?
18720
What is 26/5 of a meter in centimeters?
520
Convert 63.6941ng to grams.
0.0000000636941
Convert 712738.8 decades to months.
85528656
How many millilitres are there in fifteen quarters of a litre?
3750
How many milligrams are there in 6.031426 grams?
6031.426
What is 27945.2 millennia in centuries?
279452
How many millilitres are there in one quarter of a litre?
250
Convert 2.31103 weeks to milliseconds.
1397710944
What is 0.8998422 kilometers in millimeters?
899842.2
What is five fourteenths of a week in hours?
60
Convert 3.515622 centuries to decades.
35.15622
How many seconds are there in 4/3 of a hour?
4800
How many grams are there in thirty-two fifths of a kilogram?
6400
What is 42658.95l in millilitres?
42658950
What is 45/4 of a millennium in years?
11250
How many millilitres are there in 0.4866922l?
486.6922
What is 4/3 of a minute in milliseconds?
80000
What is 1/5 of a litre in millilitres?
200
How many millimeters are there in 0.0400388 kilometers?
40038.8
Convert 0.2845944 millennia to decades.
28.45944
What is twenty-one quarters of a litre in millilitres?
5250
Convert 0.1801726 nanoseconds to seconds.
0.0000000001801726
What is 77.32893 kilometers in millimeters?
77328930
What is thirty-seven halves of a milligram in micrograms?
18500
How many grams are there in 65.98031 milligrams?
0.06598031
How many decades are there in 350.1006 millennia?
35010.06
What is four sevenths of a week in hours?
96
How many millimeters are there in 26.21775 meters?
26217.75
How many millilitres are there in fourty-five eighths of a litre?
5625
Convert 647881.7 grams to tonnes.
0.6478817
How many micrograms are there in 5/4 of a milligram?
1250
What is eleven quarters of a microgram in nanograms?
2750
What is one quarter of a microgram in nanograms?
250
How many hours are there in 23/3 of a day?
184
What is 2.811172ml in litres?
0.002811172
How many meters are there in 4.188477 micrometers?
0.000004188477
What is twenty-nine halves of a century in years?
1450
How many months are there in twenty-nine thirds of a century?
11600
How many millimeters are there in thirty-seven halves of a meter?
18500
Convert 811726.9 litres to millilitres.
811726900
How many weeks are there in 49.708974 days?
7.101282
What is 0.9974605nm in kilometers?
0.0000000000009974605
How many millimeters are there in 1/5 of a centimeter?
2
Convert 42483.55 kilograms to milligrams.
42483550000
Convert 6048.2um to nanometers.
6048200
Convert 5267.926cm to nanometers.
52679260000
What is 13/5 of a meter in millimeters?
2600
Convert 775.7673 litres to millilitres.
775767.3
How many years are there in 15/4 of a century?
375
How many millennia are there in 8662.268 decades?
86.62268
How many millilitres are there in 55.54246l?
55542.46
How many months are there in 3/5 of a millennium?
7200
How many weeks are there in 3.006612 days?
0.429516
What is 77.09249 millilitres in litres?
0.07709249
How many milligrams are there in thirty-seven fifths of a gram?
7400
What is 19/4 of a gram in milligrams?
4750
How many millimeters are there in 46337.73 kilometers?
46337730000
How many kilograms are there in 3/40 of a tonne?
75
What is 2056.45 years in millennia?
2.05645
What is 12/25 of a millennium in months?
5760
What is 0.1397753ml in litres?
0.0001397753
What is six fifths of a millimeter in micrometers?
1200
What is 8/7 of a week in days?
8
How many litres are there in 951082.5ml?
951.0825
How many nanoseconds are there in 60.4913 seconds?
60491300000
Convert 415121.8g to milligrams.
415121800
How many seconds are there in 74652.12 minutes?
4479127.2
What is 28.61849 microseconds in milliseconds?
0.02861849
Convert 32.05912 years to millennia.
0.03205912
How many kilograms are there in three eighths of a tonne?
375
How many millilitres are there in 4.760555 litres?
4760.555
How many centuries are there in 0.6670743 months?
0.00055589525
What is thirty-one halves of a century in
|
{
"pile_set_name": "DM Mathematics"
}
|
-22 + (11 - (-16 + 9))?
-4
What is the value of -8 + -1 + 18 + -2 - 18?
-11
3 - (-3 + (-4 - (-2 - 1)) - -4)
3
20 + -31 - ((3 - 4) + -3)
-7
8 + -5 + -3 + (8 - (25 + 8))
-25
Evaluate (2 - -2 - -6) + 11 + -27 + -13.
-19
0 + -2 + 5 + (48 - (13 + 60))
-22
-12 - (-2 - -7 - (8 + 5 - 8))
-12
Evaluate 10 + -9 + -4 + 2 - (6 - -2).
-9
Evaluate (2 - (0 - -10)) + 88 + 3 + -46.
37
Calculate -201 + 223 - (1 + 15).
6
What is the value of 0 - -4 - 6 - (-9 - -19)?
-12
-3 - (-12 - -5) - 18 - -42
28
Evaluate (-1 - 0) + -19 + (-1 - -13).
-8
What is 19 + (-120 + 127 - (-2 - -15))?
13
-24 + -2 + (-6 - -13) - -8
-11
Evaluate 468 + -454 + -13 + -2.
-1
What is 26 + 1 - (28 - (1 + (18 - 1)))?
17
What is (-9 - 2) + (49 - 63) + 5 + 1?
-19
8 + (-1 - 13) + (-141 - -134)
-13
Calculate 52 + -39 - (-11 + (10 - -47)).
-33
What is the value of -202 + 198 + (12 - 1) - -2?
9
What is 4 + -2 - -3 - (12 + -4 - -2)?
-5
Evaluate -13 + 1 + 2 - -8.
-2
(5 - 0) + (805 - 796)
14
Calculate (-15 + 2 - (16 - 28)) + -22.
-23
What is the value of 3 + (-6 - -4) - (30 + (8 - 14))?
-23
Evaluate (-16 - -24 - (1 - -15)) + 5.
-3
-7 - -8 - 7 - (8 + 4) - -6
-12
Evaluate -1 + (-3 + (-2 - 1) - -3) + 6.
2
What is (-15 - -32) + 11 + -32?
-4
1 + -8 + 4 + 10
7
Evaluate 33 - (18 - (-18 + 17)).
14
What is -6 - (76 + -79 - (-2 + 4))?
-1
What is 4 - (12 + 10 + 3 - 13)?
-8
Calculate (-30 + 31 - (0 + -4)) + (-1 - 17).
-13
What is (-3 - (-15 - -15)) + 21?
18
8 + (5 + 0 + -15 - (7 - 7))
-2
What is the value of 18 + (33 + -32 + 7 + 0 - 13)?
13
Calculate -14 + 1 + 8 - (-3 + -3).
1
Evaluate 962 - 964 - (1 + -5).
2
What is -3 - 1 - (-2 - 20 - (-8 - -3))?
13
What is 4 - (-2 - -5 - (-11 - -14)) - -1?
5
What is -14 - (4 + (0 - (2 + -1)) - 7)?
-10
What is 17 + (-11 - (-12 + 2)) - (1 - 6)?
21
Calculate -3 + 3 + (2 - -9 - 1) - 0.
10
Evaluate 5 - (-8 + (0 + 0 - -7)).
6
22 + -7 + 15 - 30
0
What is (4 + 4 - (0 + -5)) + -5?
8
(22 - 18) + (0 - -6)
10
Evaluate -5 + (-22 - -29) - (12 - 0).
-10
What is the value of 56 + -50 + (-2 - -2 - (3 - -3))?
0
What is (0 - 8) + 497 + -511?
-22
What is -4 - 16 - (11 - 28)?
-3
Evaluate 1 + -5 - (7 - (19 + -1)).
7
What is (17 - 2) + (-167 - -149)?
-3
Calculate -49 + 28 - (-54 + -1).
34
-34 - (-64 + 37) - -22
15
Evaluate (-24 - -8) + -76 + 75.
-17
What is the value of -8 + 2 + 23 + (9 - 18)?
8
What is the value of 4 - -9 - (84 + -71)?
0
Calculate -4 + (-85 - -76) + (0 - (2 - -4)).
-19
Calculate (36 - (22 + -1)) + 1.
16
Calculate 22 - 1 - (377 + -368).
12
Evaluate (5 + (4 - 13) - 1) + (11 - -7).
13
Evaluate 0 - 0 - -8 - (1277 - 1269).
0
What is the value of 14 - (-2 + 7 + (-2 + 1 - 0))?
10
(4 - 1) + -6 + (-29 - -27)
-5
Calculate 12 + -19 + (2 - -2) - (4 + 0).
-7
What is 6 + (7 - 8) + -10 + 15?
10
What is the value of 9 + (0 - (22 + -6)) - (-2 + 2)?
-7
What is 2 + -7 + 16 - (27 - -1)?
-17
Calculate (-7 + -20 - 13 - -17) + -2.
-25
What is the value of (-8 - -15) + 6 - (-3 - 3)?
19
1 - (-13 - (-9 + -8)) - (1 - -1)
-5
What is the value of (2 - -1) + (22 - 26)?
-1
4 - (2 + -18 + 12 + (2 - 6))
12
What is the value of 6 + (-4 - (1 + -1)) + 2 + -5?
-1
What is the value of (10 - 2) + -50 + 64 + 9?
31
What is (-6 - (0 + -7)) + -1 - (-2 + -5)?
7
What is the value of 1 - 3 - (14 - (21 - 11)) - -12?
6
Evaluate (1 - 6) + 0 + -17 + 1 - 9.
-30
Calculate 53 + -18 - (-3 - -19).
19
Evaluate -3 + 16 + (-10 - 8 - -6).
1
(-1 - (-32 + 20)) + 1
12
18 + ((-17 - -8) + -5 - -7)
11
(0 - -2) + -6 + (-40 - -53) + -20
-11
What is the value of (-16 + 9 - -10) + -4 + (-2 - -6)?
3
-14 + 30 + (-18 - -10)
8
What is the value of 10 - 2 - (20 - (-6 + 20))?
2
What is the value of 1 + (0 - 3) + 344 + -349?
-7
What is the value of -19 - (-41 + (-41 - -50))?
13
Evaluate 1 - 12 - (57 + -131 + 73).
-10
Calculate (15 - (16 + -1)) + -17.
-17
What is the value of -20 + 2 + 137 + -108?
11
8 - (5 + 9 + -9 + 8)
-5
Evaluate -39 + 0 - (-783 - -770).
-26
What is the value of (4 - 7 - 5) + 1 + 3 + 1?
-3
42 + -44 + (3 - -4) + 2
7
Evaluate (64 - (-8 - -43)) + -21.
8
14 + -1 + -4 + -17 + 1
-7
(-5 - -1 - -11) + (-3 + 4 - -3)
11
What is 16 - 5 - (-11 + 11 + 15 - 19)?
15
Evaluate -8 + 4 + (8 - 7) + 0 + -5.
-8
Evaluate 95 + -89 + 2 + -18.
-10
What is 0 + 3 + 1 + -2 + 38 + -53?
-13
Calculate (-20 - -9) + -10 - (-8 + 4).
-17
Evaluate (-3 - -37) + -3 + 7 + 8 + -18.
28
What is the value of 3 - ((99 - 112) + 2 + (5 - -1))?
8
Calculate 20 - (2 - (17 - 17)).
18
8 + -36 - -7 - -35
14
(17 - (-58 + 29)) + -26
20
Calculate 14 + -15 - 7 - 3.
-11
What is 14 + -24 + 7 + (-16 - 3)?
-22
Calculate 30 - (0 - (-7 - (6 + 7 + -10))).
20
-2 + (31 - (5 - -13))
11
Calculate -2 - (11 + (-17 - (18 + -10))).
12
28 + (-12 + (-1 - -18) - 12)
21
What is 7 + -6 + (15 - 12 - (-1 + 2))?
3
Calculate -8 - ((10 - -6) + -10).
-14
Calculate 8 - (-1 - (-6 + -9 + 4 + 6)).
4
Evaluate 12 + -1 - (-3 + 4) - -10.
20
(-4 + -5 - -6) + 9 + (-7 - -1)
0
-4 + 9 + (-1 - -6) + 2 + 4
16
What is -2 + 17 + 3 - (-61 + 61)?
18
What is -11 - (13 + -7 + (2 - 12))?
-7
-8 + -12 - -11 - (2 - 12)
1
What is the value of -12 + (30 - -11 - 29)?
0
Evaluate 3 + 27 - (2 + (4 - 5) + 7).
22
What is the value of 8 - (-12 + 11 + -2)?
11
What is (21 + -15 - (-3 + 7)) + -15?
-13
What is -36 - -40 - (2 + 1 + -3 + 3)?
1
Evaluate 78 + -71 + (-10 - 2) - (-12 + 0).
7
-30 + 21 + 34 + -29
-4
Calculate -10 + -1 - (-6 + 46 + -64).
13
Evaluate (-18 - (-3 - 17)) + -4.
-2
What is the value of -1 + (0 - -8) - (-1258 + 1258)?
7
What is the value of -40 + -3 + 77 - 32?
2
Evaluate (1 + -22 - (20 + -18)) + -92 + 99.
-16
Calculate -31 + (-2 + 2 + 11 - 0).
-20
What is the value of 4 - (6 + (3 - 16))?
11
What is -19 + 0 + (30 + -18 - -16)?
9
(-8 + 7 - -15) + -1 + -14
-1
What is 0 + 19 - (3 - (-43 + 44))?
17
Calculate 12 + 34 + -57 - (29 - 0).
-40
What is -98 + 103 - (19 - -2)?
-16
(-8 - -40) + -9 - 4 - (-2 + 3)
18
What is (3 + -1 - (244 - 248)) + -33?
-27
What is the value of 14 - (16 + 5 + -11)?
4
(28 - (2 - -35)) + 2
-7
What is 23 - 8 - (-8 + 29)?
-6
Calculate -2 + (1 - (0 + 0)) + -245 + 251.
5
What is the value of (60 - 53) + (-9 - 0) + -4?
-6
Calculate 87 - 104 - (3 - 3).
-17
Calculate (-31 - -64) + (-5 - 9 - 3).
16
Evaluate 42 + 20 + -49 + -22.
-9
What is 12 + (-11 - -4) + -12 - -23?
16
What is -10 - (-5 - -6 - (-2 + 7 + -10))?
-16
-18 + -7 + -16 + (31 - 8)
-18
Evaluate (12 - (-14 - -23) - 3) + -10.
-10
Calculate -1 - 14 - (-3 + 1 - (35 + -34)).
-12
Evaluate (-47 - -33 - 0) + (28 - 6).
8
Evaluate -23 + -1 + 1082 + -1035.
23
Calculate -629 + 654 + -38 + 0.
-13
Evaluate 7 + (25 + -24 - 23).
-15
What is the value of (-21 - -13) + 30 - 35?
-13
Evaluate (4 - (12 - 10)) + (-1 - -7).
8
What is the value of (11 - (-14 + 9 - -9)) + 10?
17
Evaluate 7 - 1 - ((-15 - -36) + -19).
4
9 + -13 + -3 + (-2 - 2)
-11
Evaluate 12 + (8 - 3) + -24.
-7
0 + -1 + -12 + 5 + -4
-12
What is the value of 0 + 4 + (-34 - -20)?
-10
Calculate -2 + -9 - (87 - 90).
-8
Evaluate -8 + 20 - ((14 - (8 - 1)) + 3).
2
-2 + 14 - 8 - (2 - 24)
26
((-9 - -1) + (38 - 47) - 1) + 8
-10
6 + 1 + (14 - 11 - 9) + 3
4
Calculate -7 + (11 + -2 - 4) + 0 + -4.
-6
-6 + 1 + (-1 - ((5 - 7) + -10))
6
Evaluate -8 + 12 + 1 + -10 - (15 - 0).
-20
What is the value of 5 + (-22 + 23 - (0 + 1))?
5
32 + -11 + -10 + -2
9
What is 1 - (-11 + (11 + -3 - -1))?
3
What is the value of (4 - 6) + -7 + (4 - 0)?
-5
Calculate 0 + 6 - (2 + 2 - (-7 + 7)).
2
What is the value of 7 + 0 + (-204 - -184)?
-13
-705 + 650 + -2 + 32
-25
What is 2 - (8 + -6 - 11 - (-4 - 0))?
7
Evaluate (8 + -5 - (56 + -45)) + (-2 - 0).
-10
What is the value of -42 + (16 - 1 - -8)?
-19
What is -23 + (-16 + (16 - 6) - (-3 + -13))?
-13
Evaluate -176 - -178 - (-3 - 1).
6
What is the value of -7 - 3 - -17 - (15 + -3)?
-5
-2057 + 2086 - ((0 - 0) + 2 - 0)
27
What is the value of (14 + (4 - 10) - (-10 + 2)) + 0?
16
What is the value of 15 + (-17 + -10 - 5) + 7?
-10
Calculate 6 + 10 + -9 - (2 + (1 - 1)).
5
Calculate 0 + -10 + 0 + -10 + (-17 - -26).
-11
What is (-55 - -52) + 3 + -2 - (1 - 18)?
15
Evaluate 14 - (1 - -31 - (11 - -2)).
-5
Calculate (17 - 25) + 31 + -19.
4
Calculate 28 - ((-1 - -2) + -1 - (119 + -129)).
18
What is the value of -6 + (-3 - (-21 + 13))?
-1
What is 2 + (-10 + -10 - -12) - -7?
1
What is the value of 6 + 4 + -13 + 1 + -6 + 35?
27
(-149 - -167) + (-35 - 5)
-22
What is the value of (-4 - (-20 - -16)) + -13 + 0?
-13
Calculate -20 - (-7 + (-7 -
|
{
"pile_set_name": "DM Mathematics"
}
|
*1)/(((sqrt(66) - (sqrt(66) - (sqrt(66) - sqrt(66)*-1))) + sqrt(66) + sqrt(66))/sqrt(6)) + (-1*sqrt(847) - (0 + sqrt(175)))**2.
sqrt(7)/4 + 1792
Simplify ((sqrt(133) + -1*sqrt(133)*-1 + 2*sqrt(133)*2)*-6)/((-2*sqrt(21)*2)/(sqrt(3)*1*-5 + sqrt(3))).
-36*sqrt(19)
Simplify 5*(((sqrt(297)*1 - sqrt(297))*-1)/sqrt(11) + (2*sqrt(162))/sqrt(6) + 2).
10 + 30*sqrt(3)
Simplify 3*(2*(sqrt(1188) + sqrt(1188)*2 + sqrt(1188)))/((sqrt(99) - 2*sqrt(99))/sqrt(9) - sqrt(66)/sqrt(54)).
-108*sqrt(3)
Simplify -1 + (-3 + (sqrt(50)/(3*sqrt(10) + sqrt(10)) - (sqrt(210)/sqrt(6))/sqrt(7)))*-5*3 + 1.
45*sqrt(5)/4 + 45
Simplify (-5*(2 + -2 + sqrt(125) + 1 + sqrt(125))*1 + 4 + 3)**2.
-200*sqrt(5) + 12504
Simplify ((-3*(sqrt(65) - 2*sqrt(65)))/(sqrt(5) - -4*sqrt(5)*1) + sqrt(364)/sqrt(7) + (3 + (sqrt(13) - sqrt(13)*4))**2)*-4.
-504 + 308*sqrt(13)/5
Simplify -4 + ((sqrt(468) - (sqrt(468) - (sqrt(468) - -2*sqrt(468)*-2)))/(-1*sqrt(1296) + sqrt(9)))/((sqrt(40)/sqrt(5))/sqrt(2) + sqrt(24)/(sqrt(30)/sqrt(5))).
-4 + 3*sqrt(13)/22
Simplify -3*((sqrt(99)*2 + 0 - (sqrt(99) + 0 + sqrt(99) + 3))*3 + sqrt(99) + -2*(2*sqrt(99) + sqrt(99)) + sqrt(99) + 0 + -5 + sqrt(99))**2.
-3261 - 756*sqrt(11)
Simplify -5 + 5 + -3 + ((sqrt(242) + sqrt(242) + 0)**2*2 + sqrt(242) + ((sqrt(242) + -1 - sqrt(242))*4)**2 - (-2 + sqrt(242) + 0)*3).
-22*sqrt(2) + 1955
Simplify (1 + -5 + sqrt(2736)*4 + -3 + (-4 + sqrt(2736) + 1 + sqrt(2736) + sqrt(2736) - 2*((sqrt(2736) - (sqrt(2736) - 1*sqrt(2736))) + sqrt(2736)))*4)**2.
361
Simplify -2*((-2*(3 + sqrt(117) + (1 + sqrt(117) - sqrt(117)) + 1 + sqrt(117))*1 + 0)*-6)**2.
-141984 - 17280*sqrt(13)
Simplify (sqrt(231)/(sqrt(7)*-1) - (sqrt(33) + 1*sqrt(1188)))/(4*(sqrt(300)*2 - sqrt(300))) + -4.
-4 - sqrt(11)/5
Simplify (1*(-5*(sqrt(396) + -2 + sqrt(396) + 4*sqrt(396)) - ((-6*(0 + sqrt(396) + sqrt(396)) - sqrt(396)) + sqrt(396) - (-4 + sqrt(396) + -1))))**2.
-1020*sqrt(11) + 114469
Simplify 1*(((sqrt(300) + -1)*-1)**2 - (-5*(sqrt(3) + 2) + sqrt(3) + 4))*-6.
-1842 + 96*sqrt(3)
Simplify (-3*(sqrt(80)/(sqrt(15)/sqrt(3)) - (sqrt(1024) + (sqrt(1024) - (sqrt(1024) - (sqrt(1024)*-1 - sqrt(1024)))))))/(-5*(6*sqrt(96)/sqrt(3))/sqrt(4)).
9*sqrt(2)/10
Simplify (-3 + (sqrt(624)*1 - sqrt(624))/sqrt(12) + (3*sqrt(130))/sqrt(10) + sqrt(78)/sqrt(6)*3)*5.
-15 + 30*sqrt(13)
Simplify (sqrt(13) + ((sqrt(416)/sqrt(8))/sqrt(4))**2 - 1*(-2 + sqrt(13))) + (-5*(sqrt(91)*1 + sqrt(91)))/(sqrt(28)/sqrt(4)*6).
-5*sqrt(13)/3 + 15
Simplify 6*((-2*sqrt(720) - (sqrt(20) + sqrt(20) + (sqrt(500) - 2*sqrt(500) - sqrt(500)) - sqrt(20) - sqrt(20)))/(2*sqrt(144)*-6) + -5).
-30 + sqrt(5)/6
Simplify 3*(5*(sqrt(1872)*2 - sqrt(1872)))**2 - (((2 + sqrt(1053))**2 - sqrt(1053))*3 + sqrt(1053))*2.
-180*sqrt(13) + 134058
Simplify (1*sqrt(171)*-2*-2 - 5*(sqrt(19) + sqrt(209)/sqrt(44) + (sqrt(76)*-2 + sqrt(76))/sqrt(4)))**2.
6859/4
Simplify (5*sqrt(2432)*-2*6)/(((sqrt(100) - (sqrt(100)*-2 + sqrt(100) - sqrt(100) - sqrt(100) - sqrt(100)))/sqrt(5))/(sqrt(160)*2)).
-768*sqrt(19)
Simplify ((sqrt(190) + -6*-1*sqrt(190))/(-6*sqrt(10)*-1))**2 + (sqrt(1900) + 0 + sqrt(1900) - sqrt(1900) - 3*sqrt(171)) + 0.
sqrt(19) + 931/36
Simplify (-4*(sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99) - (sqrt(99) + -1*sqrt(99)))*-3))) + 4*sqrt(99)*-5*-3)**2*3.
1373328
Simplify (-5 + (sqrt(1008)*-1 + sqrt(7))**2*-5)*2 + (sqrt(49) - sqrt(588)/(4*sqrt(12)))/(sqrt(7) + (sqrt(7) - 5*sqrt(448))).
-8480 - 3*sqrt(7)/152
Simplify (((sqrt(75) + 0 - sqrt(75)) + 3)*-1 + -5*2*(sqrt(75) + -1) + -5)**2 + 2.
-200*sqrt(3) + 7506
Simplify -5*(-3*((3 + sqrt(200))*5 + -1*(sqrt(200) + -3 + sqrt(200))) + 0)**2.
-95580 - 48600*sqrt(2)
Simplify -1 + -2*((1 + sqrt(288) - sqrt(288)) + 5) + (-4 + sqrt(98) - (-3 + sqrt(18))).
-14 + 4*sqrt(2)
Simplify ((((sqrt(252)*-2 - sqrt(252)) + 1)*-2*3*-4)**2 + -2)*-3.
-3920826 + 62208*sqrt(7)
Simplify ((2 + 5*-1*(5 + -4*(-1 + sqrt(425) - sqrt(425)) + 0))*-5)**2.
46225
Simplify (-1*(4*sqrt(153)*-1)/(2*sqrt(9)*-1 + sqrt(9)))**2*4 + 3.
1091
Simplify (-6*3*(-2*(sqrt(75) + 1*sqrt(75)) + sqrt(75)))**2 + (1*-2*-1*sqrt(75)*3)**2 + 5.
221405
Simplify (sqrt(1100)*1 - sqrt(1100) - sqrt(99)*5 - (-5 + (sqrt(11) - 2*sqrt(11)) + -4))**2 + -2.
-252*sqrt(11) + 2235
Simplify (sqrt(1573) + sqrt(1573) + -4 + sqrt(1573) + sqrt(78)/(sqrt(6)*-5) + (sqrt(325)*-4 - 1*sqrt(39)/sqrt(3)))**2.
-472*sqrt(13)/5 + 45653/25
Simplify ((sqrt(270)/sqrt(5))/sqrt(2) + sqrt(27) - (sqrt(27) - (sqrt(27) + 1)*-6)) + (2 + (sqrt(2187)*1)**2 - sqrt(2187))*6.
-177*sqrt(3) + 13128
Simplify 3*(sqrt(495)/(sqrt(9) + (sqrt(9) - sqrt(225)))*1)/(sqrt(275)*3*4).
-sqrt(5)/60
Simplify ((-4*(sqrt(300) + 0) - (0 + sqrt(300) + 1*sqrt(300) + sqrt(300))) + -1*((-3 + 1 + sqrt(3) + sqrt(3) - sqrt(3)) + (sqrt(36)/sqrt(4))/sqrt(3)))**2.
-288*sqrt(3) + 15556
Simplify 6*(-2*-3*sqrt(4032) + 3 + (sqrt(1372)*2 + -5 - (sqrt(1372) - -4*(sqrt(1372)*-2)**2))).
-131724 + 948*sqrt(7)
Simplify -5 + ((sqrt(125) + -1)*-3 - sqrt(125) - -3*(sqrt(125) + (sqrt(125) - sqrt(125)*1) + sqrt(125))) + -4*(-3 + (sqrt(125)*2)**2)*-3.
10*sqrt(5) + 5962
Simplify 3*(-6*(((sqrt(125)*2 + -4)**2 - sqrt(125)) + (-1*sqrt(125) + 4)**2 - (5 + (sqrt(125) - -2*sqrt(125)) - (5 + (0 + sqrt(125) - sqrt(125))))) + 5).
-11811 + 2520*sqrt(5)
Simplify (sqrt(8)/sqrt(64) - sqrt(8)/sqrt(4)*-5 - (2*sqrt(180))/sqrt(10))**2 - (1*sqrt(512))/((sqrt(24)*4)/sqrt(6)).
-2*sqrt(2) + 9/8
Simplify (-1 + (5*(3 + (sqrt(272) - (sqrt(272) + 0))) + (sqrt(272) - (sqrt(272)*1 + sqrt(272))*6 - (5 + sqrt(272) + -1)))**2)*-2.
-78576 + 2112*sqrt(17)
Simplify 0 + -1 + (2 + 6*(-5 + 1*sqrt(242) + -3))**2.
-6072*sqrt(2) + 10827
Simplify (sqrt(484)*-2)/(sqrt(12)/(sqrt(6) + sqrt(12)/sqrt(2))) - ((sqrt(8)*2)**2 - (sqrt(128)*-3)**2).
-44*sqrt(2) + 1120
Simplify (sqrt(60)/(sqrt(54) + sqrt(6)) - (sqrt(110) + 2*sqrt(110))/sqrt(11))/(-1*sqrt(98)*-4 + sqrt(98))*5.
-11*sqrt(5)/28
Simplify (5 + (6*4*2*sqrt(1377) + 4 - (sqrt(1377) + (sqrt(1377) + -1)*-4 - ((sqrt(1377) - (sqrt(1377) + -1 + sqrt(1377) + sqrt(1377)) - sqrt(1377)) + -2))))**2.
3456*sqrt(17) + 3172624
Simplify (-1 + 2 + (4*(sqrt(242) + 0 + sqrt(242)) - 4*(sqrt(242) + 4)))**2.
-1320*sqrt(2) + 4097
Simplify -3*((sqrt(81)/sqrt(36))/(sqrt(21)/(sqrt(7) - (sqrt(7) - sqrt(21)/sqrt(3)))) + ((-5*(0 + sqrt(108) + sqrt(108)))**2 - ((sqrt(108) + -1)*5)**2)).
-24225 - 1803*sqrt(3)/2
Simplify (((sqrt(84) - (2*sqrt(84)*2 - sqrt(84))) + sqrt(84) + sqrt(84))/(sqrt(36)/sqrt(150)))/((-2*sqrt(28)/sqrt(2))/(sqrt(6)/(-2*sqrt(3) - sqrt(3)))).
0
Simplify ((5*sqrt(81)*-2 - sqrt(81))/(sqrt(75)*2))/(sqrt(9) + (sqrt(9) - sqrt(27)/sqrt(3))*4 + -2*sqrt(441)).
11*sqrt(3)/130
Simplify 0 + (4*3*sqrt(833) + -2 + 2 + sqrt(833) + sqrt(833) + 2 + sqrt(833)*2 + 3 + -4)**2.
224*sqrt(17) + 213249
Simplify 4 + (((-3*sqrt(2299) + sqrt(2299))*2 + sqrt(2299))*-5)**2 - (sqrt(2299) - -3*(1 + sqrt(2299)))**2*3*5.
-34616 - 3960*sqrt(19)
Simplify -4 + (-2 + 1*sqrt(1053) - (((sqrt(1053) + 1)*-2)**2 - sqrt(1053)) - (2 + 0 + (1*sqrt(1053) + sqrt(1053))**2 + 0)).
-8436 - 54*sqrt(13)
Simplify ((2*sqrt(144))/sqrt(12)*3)/(-1*sqrt(64) - (sqrt(4) + sqrt(64)*1)) + 3.
-2*sqrt(3)/3 + 3
Simplify -4 + (-5*(6*(sqrt(833) + (sqrt(833) - (0 + sqrt(833))) - sqrt(833) - sqrt(833) - sqrt(833))*1 + -1*sqrt(833) + -4 + sqrt(833)*-2 + 2))**2.
10500*sqrt(17) + 4685721
Simplify ((sqrt(117)/(sqrt(6)/sqrt(2)))/(sqrt(60)/sqrt(5)))**2 - -1*(4*sqrt(1053)*1)**2.
67405/4
Simplify 2 + (-1 + sqrt(425) + sqrt(425))**2 + -1 + sqrt(833)*1 + (2*(sqrt(153)*4 - sqrt(102)/sqrt(6)*-6))**2.
-13*sqrt(17) + 23734
Simplify ((4*(sqrt(1200) + -2) - (sqrt(1200) + -2*1*sqrt(1200))) + (3 + 3 + sqrt(1200))*-2)**2.
-2400*sqrt(3) + 11200
Simplify (0 + sqrt(208))*-4 + 2 + (-3*((-2 + sqrt(208) + sqrt(208))**2 - sqrt(208)) - (sqrt(208) + 2 + 3)) + 3.
-2508 + 88*sqrt(13)
Simplify -2*(2 + sqrt(168)/((sqrt(84)/sqrt(2))/sqrt(7)) + 5*(sqrt(28) + 1 + -1*sqrt(112)))**2.
-994 + 224*sqrt(7)
Simplify -3 + ((-1*-3*-1*sqrt(170)*-5)/(1*6*(sqrt(160) - (sqrt(160) + sqrt(160)*2))))**2.
-343/256
Simplify (sqrt(76) + 0 - sqrt(76)) + -5 + (-3 + (sqrt(76) - (sqrt(76) - (sqrt(76) - (sqrt(76) + 2)))))**2 + (2*-5*sqrt(76)*-1 + -2)**2.
-80*sqrt(19) + 7624
Simplify (5*((sqrt(99) - -5*sqrt(99)*1) + sqrt(99) + -3*(sqrt(99) - (sqrt(99)*1 + sqrt(99)))))/(6*-1*sqrt(81)*-2).
25*sqrt(11)/18
Simplify 3*((sqrt(1584) + -1 + 4 + sqrt(1584) + -2 + sqrt(1584
|
{
"pile_set_name": "DM Mathematics"
}
|
late the highest common divisor of v and 7.
7
Let v(n) be the first derivative of 2*n**2 + 4*n - 9. Let x be v(4). What is the greatest common divisor of x and 180?
20
Suppose 23 = 4*d - t, 4*d - 8 - 21 = -5*t. Suppose 3*k - 5*k = -d. Let b(h) = h**2 - 11*h + 3. Let l be b(12). What is the highest common factor of k and l?
3
Let a(f) = 2*f**2 + 50*f + 83. Let q be a(-24). Calculate the greatest common factor of q and 147.
7
Suppose 0*l + 2*l = 3*u - 436, 0 = 3*u - 3*l - 438. Let m = u - 74. What is the highest common divisor of 10 and m?
10
Suppose 2 = s - 2. Suppose s*d + i + 27 = 92, 66 = 3*d - 5*i. What is the greatest common factor of 136 and d?
17
Let w be 14*(-11)/(77/(-4)). Calculate the highest common divisor of w and 56.
8
Let z = 604 + -541. What is the greatest common factor of 27 and z?
9
Let l(p) = -4*p + 1. Let i(f) = f + 1. Let x(q) = 6*i(q) - 6*l(q). Let v be x(3). Let b = v - 50. Calculate the greatest common divisor of b and 20.
20
Let f(d) = d**3 + 9*d**2 + 11*d + 5. Let x be f(-4). Suppose -4*y + x = 3*w, -3*w + 8 = 5*y - 44. What is the highest common factor of 55 and y?
11
Let n(q) = -12 + 3*q + 360*q**2 - 15*q - 358*q**2. Let o be n(9). Calculate the greatest common divisor of o and 14.
14
Let u be -8 - 12/(-3) - -33. Suppose -m + 89 - u = 0. Suppose 5*i - m - 25 = 0. Calculate the greatest common factor of 17 and i.
17
Let l(s) = -38*s - 458. Let x be l(-13). Let m(z) = -2*z**3 - 2*z**2 + 2*z. Let n be m(-2). Calculate the highest common divisor of n and x.
4
Let m(v) = 2*v**2 + 6*v - 3. Let s be m(4). Suppose -3*k + b + s = 0, 4*b - 40 = -0*k - 2*k. What is the highest common factor of k and 6?
6
Let h(y) = -14*y - 4. Suppose -3 - 8 = i + 2*c, 5*i - 4*c = -27. Let n be h(i). Let m be 1*n + (-4 - -6). Calculate the highest common divisor of m and 12.
12
Suppose -3*k - 127 = -2527. What is the greatest common factor of k and 32?
32
Let m = 1118 + -1029. What is the greatest common factor of m and 178?
89
Let w(g) = -12*g**2 + g - 1. Let m be w(1). Let y be ((-124)/m - -3)*3. Suppose 3*d = -12, 5*d = 3*z + 2*z - y. What is the greatest common factor of 32 and z?
4
Let i(v) = 79*v**3 - v**2. Let p = 0 + 1. Let l be i(p). Let k = l + -33. Calculate the greatest common factor of 15 and k.
15
Suppose -2*c = 11 + 21. Let h = 29 + c. Suppose 109 = m + s, 0 = 2*m - m + 3*s - 119. What is the greatest common divisor of m and h?
13
Let q(r) = r + 5. Let i be q(-13). Let k be (-7 - i)/(2/4). Suppose k*y = 4*y + c - 257, 516 = 4*y + 4*c. What is the greatest common factor of 16 and y?
16
Let c = 3 - 1. Suppose -2*l + 2*d - 2 = 0, -4*l - 1 + 5 = -c*d. Suppose -m + 3*u = -30, l*u - 22 = -7. Calculate the greatest common divisor of 5 and m.
5
Let y be (405/(-3))/((-7)/7). What is the highest common factor of 378 and y?
27
Suppose -3*c + 4 = -c. Suppose -g - 89 = -2*t - c*g, -t + 47 = -2*g. Calculate the greatest common factor of t and 27.
9
Let c be ((-632)/(-14))/1 + 20/(-140). Suppose 2*k = 3*l + 33, -k + 3*l = -33 + 9. Calculate the greatest common divisor of k and c.
9
Let a(r) = -r**2 + 4*r + 13. Let g be a(6). Let w(q) = -2*q + 3. Let p be w(-4). What is the highest common factor of p and g?
1
Let y be (-2)/9 - (-160)/72. Suppose z = -y*z + 93. Let b = z - 25. Calculate the greatest common divisor of 66 and b.
6
Suppose 0 = 9*t - 4*t - 60. Calculate the highest common divisor of 78 and t.
6
Let d = -131 + 236. Suppose d = 2*g + 5*m, -2*g + 135 = -m - 0*m. What is the highest common divisor of g and 5?
5
Suppose 295*w = 155*w + 8820. Suppose 3*r + 4*q - 74 = 0, -5*q + 21 = -4. What is the highest common factor of r and w?
9
Suppose -28 = 9*t - 226. Suppose -66 = -0*i - 2*i. Calculate the highest common divisor of t and i.
11
Suppose 10*r = 12 + 168. What is the highest common divisor of 42 and r?
6
Suppose -41*l + 27832 = 30*l. What is the highest common divisor of 490 and l?
98
Let p(r) = -r**2 - 33*r - 8. Let m be p(-9). Calculate the greatest common divisor of m and 16.
16
Let v(o) be the third derivative of 3*o**2 + 1/10*o**5 + 0*o - 1/6*o**4 + 0*o**3 + 0. Let c be v(3). Calculate the highest common divisor of 6 and c.
6
Let h = 19 - -25. Suppose 0 = -8*t + 12*t - 416. Let g = -38 + t. What is the highest common factor of g and h?
22
Suppose -3*b - 64 + 7 = 0. Let p = 35 + b. What is the greatest common factor of p and 4?
4
Let d = -299 + 331. Suppose -5*h = -w - 244, 2*h + 3*w + 0*w = 84. Calculate the greatest common divisor of h and d.
16
Suppose -2*v - 25*v + 2592 = 0. Suppose 5*k - 56 = 24. Calculate the greatest common divisor of k and v.
16
Suppose 48 = -c + 4*c. Suppose 2*i - 4*o = -i + 9, 3*o = 2*i - 7. Let k be (-9)/i*c/12. Calculate the greatest common factor of 132 and k.
12
Let u be 26/13*((-399)/(-6))/7. What is the greatest common divisor of u and 3914?
19
Let n be -3 - 5/(5/(-3)). Let w be 9 - 5 - n/1. Suppose 0*q = -w*q + 572. Calculate the greatest common factor of 13 and q.
13
Suppose -3*o + 2*y = -30 - 19, -3*y = 3*o - 69. Let h(n) = -35*n - 1. Let v be h(-6). Calculate the greatest common factor of o and v.
19
Let j(l) = 4*l + 5. Let w(z) = 4*z + 5. Let r(t) = 5*j(t) - 6*w(t). Let v = -531 - -527. Let p be r(v). Calculate the highest common factor of p and 1.
1
Suppose s = 3*n - 4*s + 7, 0 = 2*n - s. Let i = n + 10. Calculate the greatest common factor of i and 11.
11
Let z be ((-2)/3)/(10/(-1170)). Let b(c) = 8*c**3 - 4*c**2 + 2*c. Let x be b(2). Calculate the highest common factor of z and x.
26
Let b = -5 - -49. Let u = -35 + b. What is the highest common factor of u and 54?
9
Let i = 650 + -460. What is the greatest common divisor of i and 30?
10
Let a = -1192 + 2207. What is the highest common factor of 35 and a?
35
Suppose -1590 = -8*v - 534. Calculate the greatest common factor of 308 and v.
44
Suppose -5*o + 3*n = -127 + 29, -20 = -5*n. What is the greatest common factor of o and 11?
11
Let l = 30 + -9. Let c be 2/(-9) + (-130)/(-18). Calculate the greatest common divisor of l and c.
7
Let r(b) = -2*b**2 - 2*b**3 + 9*b**2 - b + 7*b + 3*b**3 + 15. Let z be r(-6). Let h be (-3)/(z/24 + -1). What is the highest common factor of 88 and h?
8
Suppose i + 9*i = 20. What is the highest common divisor of 4 and i?
2
Let k be (-223)/(-5) - (-2)/5. Suppose 8*a - 30 = 3*a - 5*g, 0 = -5*a + 4*g - 6. Let b = a + 16. Calculate the greatest common factor of k and b.
9
Suppose -y + 2*h - 11 = -31, 3*y = -3*h + 69. Suppose -685 = -8*r + 723. Calculate the greatest common divisor of r and y.
22
Let i(l) = -l**3 - 2*l. Let u be -1 - (-4 - 9/(-3)). Let k be i(u). Suppose 0 = 3*z - k*z - 9. Calculate the highest common divisor of z and 3.
3
Suppose -7*f = -533 - 195. Let m be (4*-1)/((-16)/f). What is the greatest common divisor of m and 2?
2
Let m = 520 - 288. Let z = 1105 + -1076. What is the greatest common divisor of z and m?
29
Suppose -4*d = -2*p - 3*p + 5, 0 = 5*d + p - 30. Suppose 3*w = 3*o - 42, -w = d*o - 5*w - 66. Calculate the highest common factor of o and 40.
10
Suppose -51*i + 56 = -44*i. Let z(n) = n**2 + n - 2. Let w be z(2). Calculate the highest common factor of w and i.
4
Suppose 4*q = p + 516, -16 = -2*q + p + 240. Calculate the highest common divisor of 10 and q.
10
Let p be ((-602)/(-215))/((-1)/(-15)*1). What is the greatest common divisor of p and 140?
14
Let z(u) = -2*u**3 - 38*u**2 - 3*u - 26. Let h be z(-19). Calculate the highest common divisor of h and 1984.
31
Suppose 10 = 5*f, -4*q + f + 174 = 2*f. Calculate the greatest common divisor of q and 1591.
43
Let d(k) = -k**2 - 3*k + 2. Let v be d(-5). Let b = 5 + v. Let h be 1/(b/6) + 44. What is the highest common factor of 6 and h?
6
Let b(m) = -7*m + 197. Let k be b(27). Calculate the highest common divisor of 488 and k.
8
Let t be -4*3/(-12)*7. Let m = 4 - t. Let p(i) = 6*i**2 + 4*i + 3. Let x be p(m). Calculate the highest common factor of 9 and x.
9
Suppose 220*q - 616 = 192*q. Calculate the greatest common divisor of q and 1298.
22
Let w = 102 + -100. Suppose -w*n - 9*n = -22. Calculate the greatest common divisor of n and 6.
2
Let o = 2 + 13. Suppose -q - q = -20. Let z be 154/q + 4/(-10). What is the highest common divisor of z and o?
15
Let w = 25 - 19. What is the highest common divisor of w and 54?
6
Let p = 33 + -34. Let a be
|
{
"pile_set_name": "DM Mathematics"
}
|
i?
7
Suppose -43*o + 48*o = 3*p - 472, -5*o = 3*p - 482. What are the prime factors of p?
3, 53
Let x(s) = 5*s**2 + 6. Let g be x(-3). What are the prime factors of (-3)/(-1 + g/54)?
2, 3
Suppose 2*i = 123 - 33. Let l = i + -10. Let u = l - 20. List the prime factors of u.
3, 5
Let u = -18 + -10. Let t(p) = -p - 1491. Let n be t(0). What are the prime factors of n/u - 6/(-8)?
2, 3
Let m(l) = l**3 - 5*l**2 - 6*l. Let u be m(6). Suppose -5*p + 542 = -u*p - 2*f, 2*p - 218 = 2*f. What are the prime factors of p?
2, 3
Let d(l) = l**2 + 11*l - 9. Let k be d(-12). Suppose -k*v = 2*g + 55 - 181, 179 = 3*g + 2*v. What are the prime factors of g?
3, 19
Let l = 114 + -80. What are the prime factors of l/8 - (-30)/40?
5
Let f(i) = -i**3 + 5*i**2 - 2*i - 23. Let v be f(5). Let p = 91 + v. What are the prime factors of p?
2, 29
Suppose -4*r + 5*u = -56 - 1, -2 = r + 2*u. Suppose 6*c - 239 = 3*c - w, 4*w - r = 0. What are the prime factors of c?
79
Suppose 0 = 4*a - 6*a + 14. Let b(q) = -q**2 + 14*q - 7. Let x be b(14). What are the prime factors of 1 + 2 + a + x?
3
Suppose 3*u = 2*q - 25, 3*q + 5*u + 9 = -1. Suppose 2*d - 1125 = -5*h, -94 = -h - q*d + 131. What are the prime factors of h?
3, 5
What are the prime factors of 17/((-170)/(-13120)) - -1?
13, 101
Let s(i) = -i**2 - 7*i - 8. Let r be s(-5). What are the prime factors of 201/r*60/45?
2, 67
Let i(p) be the second derivative of 4*p + 13/2*p**2 - 1/12*p**4 + 0 - 1/3*p**3. List the prime factors of i(-4).
5
Suppose 129*m + 40900 = 139*m. What are the prime factors of m?
2, 5, 409
Suppose 0 = -5*i + 10 - 0. Suppose 4*n + 0*n = i*p - 22, -34 = -4*p + 3*n. Suppose 0 = -4*d + 67 - p. List the prime factors of d.
3, 5
Let z = 258 - 142. Let k = z - 98. List the prime factors of k.
2, 3
Let g(s) = -16*s - 217. What are the prime factors of g(-35)?
7
Let o be (-12)/(1 + 3) + 3 + 4. Let b = o - -98. List the prime factors of b.
2, 3, 17
Let c = 21 + 129. List the prime factors of c.
2, 3, 5
Suppose 0 = -r - 3, o + 24*r - 27*r = 952. What are the prime factors of o?
23, 41
Suppose 5*w - 24 = -x + 5*x, 11 = 4*w + 5*x. Suppose 3*m + 2*k = -2*k + 95, -126 = -w*m - 5*k. List the prime factors of m.
29
Let x = 109 + -107. What are the prime factors of ((-1750)/5)/((-2 - x) + 2)?
5, 7
Suppose 0 = 11*q - 12*q + 9. Suppose 39 = -3*s + q. Let o = s - -14. What are the prime factors of o?
2
Suppose -320*w + 328*w - 5000 = 0. List the prime factors of w.
5
Suppose -7*w + 690 = 3*w. Let x = w + -29. List the prime factors of x.
2, 5
Let b(a) = -a - 1. Let w be b(-3). Let n(r) = -r**2 - 7*r - 2. Let l be n(-6). Suppose u + l*z - 28 = 0, w*u + 5*z - 44 = z. What are the prime factors of u?
2
Let c(m) = 21*m + 9. List the prime factors of c(11).
2, 3, 5
Suppose 5*t - 3 = 7. Suppose 4*c = 2*m + 3*m + 55, t*c + 85 = -5*m. Let q = m - -49. What are the prime factors of q?
2, 17
Suppose 18*s - 7920 = -0*s. List the prime factors of s.
2, 5, 11
Suppose -7*j = -4*j + 9. Let a be ((-5)/(-3) - 2)*j. Let s(v) = 74*v**2 - v + 2. What are the prime factors of s(a)?
3, 5
Let c(b) = b**3 + 51*b**2 + 93*b - 34. What are the prime factors of c(-48)?
2, 17, 71
Suppose 0 = 113*f - 120*f + 476. What are the prime factors of f?
2, 17
Let t = -5 + -51. Let q = -22 - 57. Let g = t - q. What are the prime factors of g?
23
Let x(a) be the second derivative of -a**5/20 - a**4/4 + a**3/6 + 3*a**2 - 7*a. Let o be x(-6). Suppose k + o = 4*k. List the prime factors of k.
2, 3
Let b = -8 + 12. Suppose b*m = -8, 0 = c + 4*c + 5*m. Suppose 0 = -c*u + 3*u - 10. What are the prime factors of u?
2, 5
Let f be (-5)/(-2) + 2/(-4). Suppose -2*s = 6, -f - 7 = 3*c - 2*s. What are the prime factors of (4 + c)/(1/(-5))?
5
Suppose -3*k + 13 + 11 = 0. Let f(a) = -a**3 + 8*a**2 + a + 3. Let w be f(k). Suppose 0 = v - w + 4. What are the prime factors of v?
7
What are the prime factors of (-94)/329 - 45434/(-14)?
5, 11, 59
Let f(p) = -p**3 - 10*p**2 + 7*p + 18. Suppose -3*a + z - 30 = -0*z, -z = 3. List the prime factors of f(a).
2, 31
Let l(m) = -66*m - 553. List the prime factors of l(-10).
107
Let b(c) = c**3 - 12*c**2 - 10*c - 31. Let w be b(13). What are the prime factors of 10/((18/w)/9)?
2, 5
Let f = -163 + 776. List the prime factors of f.
613
List the prime factors of (-8 - -15)/(-7)*(-755 + -2).
757
Let m(s) = 3*s**2 - 3 + 7 - 98*s + 93*s. Let z be ((-12)/(-10))/(3/10). What are the prime factors of m(z)?
2
Let v be 1 + 2*1/(-2). Suppose -l - 3*z - 38 = v, -4*l - 45 - 55 = -z. List the prime factors of 3/((-6)/l) + -2.
11
Suppose -y + 20 = 8. Suppose -5*m + y - 2 = 0. List the prime factors of (m/(-2))/((-2)/34).
17
Suppose 0*d + 6 = -6*d. Let l be d + (-4)/(2 + -3). List the prime factors of (320/(-30))/((-1)/l).
2
Suppose -229 = 10*k - 3079. What are the prime factors of k?
3, 5, 19
Suppose 4*o - 12 = -k + 50, -3*o - 4*k = -53. Let i = o - 9. List the prime factors of 10/15 - (-122)/i.
3, 7
Let o(k) = 5*k**2 + 8*k - 5. List the prime factors of o(4).
107
Suppose 0 = 4*f - 236 - 200. Suppose -2*o = -4*w + 274, -4*w + 5*o + f + 150 = 0. What are the prime factors of w?
71
Suppose -13*p + 5*o = -14*p + 344, 2*p - 4*o - 660 = 0. List the prime factors of p.
2, 167
Suppose 8 + 2 = -4*q - 2*l, q + 4 = -l. List the prime factors of (-22 - 14)/(2*q).
2, 3
Suppose 3*l + 2*v - 2999 = -0*l, 4*v = 5*l - 5035. List the prime factors of l.
17, 59
Let v(y) = 2*y + 480. What are the prime factors of v(29)?
2, 269
What are the prime factors of (-416)/(-8) + -2 + 7 - 1?
2, 7
Suppose -19 = -4*l - 3. Suppose 3*w - l - 20 = 0. List the prime factors of 220/w + 3/6.
2, 7
List the prime factors of (3860/(-80))/((3/20)/(-3)).
5, 193
Let p(c) = -14*c**2 - 15*c - 20. Let g(k) = -9*k**2 - 10*k - 13. Let l(b) = -8*g(b) + 5*p(b). What are the prime factors of l(4)?
2, 7
Let q = 7336 - 4278. List the prime factors of q.
2, 11, 139
Suppose -5*u + 4*u + 38 = 0. Let p be 2 + -2 + -1 + u. Suppose -11 - p = -3*w. What are the prime factors of w?
2
Let w be 2375/10 - ((-2)/(-4))/1. Let a = w - 119. List the prime factors of a.
2, 59
Let s = -16 - -20. Suppose 3*l + s = 1, 111 = c - 3*l. What are the prime factors of c?
2, 3
Let g be 96/(-5) + (-5)/(-25). Let w = 16 - g. List the prime factors of w.
5, 7
Let v(a) = 11*a + 1. Let x be (-22)/4*28/(-14). Suppose 0*c - 5*c = -2*w + 31, 3*w + 4*c = -x. What are the prime factors of v(w)?
2, 17
What are the prime factors of (0 + 16/(-40))/((-4)/16060)?
2, 11, 73
Let k(x) = -116*x - 88. List the prime factors of k(-11).
2, 3, 11
Let c = 46 - -1. Let i = -14 + c. What are the prime factors of i?
3, 11
Let t(l) = 269*l + 1. Let a be t(1). Let c = -276 - -278. Suppose 4*b - a = -c*b. What are the prime factors of b?
3, 5
Suppose -1122 = -312*x + 306*x. What are the prime factors of x?
11, 17
Let r(v) = -212*v + 154. What are the prime factors of r(-12)?
2, 19, 71
Let d be 2/8 + (-7)/(-4). Let v be d/3 + (-352)/24. Let w = v - -33. List the prime factors of w.
19
Let q be ((-6)/4)/(3/18). Let s = 14 + q. Suppose -s*k - 120 = -405. List the prime factors of k.
3, 19
List the prime factors of (-1649)/(-153) + -11 + (-28163)/(-9).
3, 7, 149
Suppose -3*n - 5*x + 7 = 0, -n = 4*n - 2*x + 9. Let y be (n + 14/(-4))*-14. Suppose -f - 4*v - 3 = v, 4*f + 5*v = y. List the prime factors of f.
2, 11
Let w(u) = -u**3 + 18*u**2 - 17*u - 5. Let x be w(17). Let z = x + 27. What are the prime factors of z?
2, 11
Let u = 75 + -415. List the prime factors of 2/(-8) - u/16.
3, 7
List the prime factors of 1*-5 - (9 - 284).
2, 3, 5
List the prime factors of (-5)/1*(-14 - 86).
2, 5
Let q(t) = -t + 58. Let v be q(0). Let s = v - 37. List the prime factors of s.
3, 7
List the prime factors of (-13 - -6 - -5) + 44 + 1.
43
Let y = -44 - -43. List the prime factors of (-2)/2*(-1)/(y/(-71)).
71
Suppose -2*x - 2*n = 0, -5*x + 2*n + 22 - 1 = 0. Suppose -x*i + 43 + 89 = 0. What are the prime factors of i?
2, 11
Let h(z) = z**3 + 10*z**2 - 4*z - 8. Suppose -3*m - 15 = 15. Let x be h(m). Let q = 71 - x. List the prime factors of q.
3, 13
Let t(v) be the second derivative of v**3/2 - 2*v**2 + 3*v. Let s be t(2). Suppose -s*n + 7*n + w - 229 = 0, 74 = 2*n - 4*w. What are the prime factors of n?
3, 5
Let p = 3357 - 2327. List the prime factors of p.
2, 5, 103
Let s(g) = -4*g - 8*g**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*b. Let g(s) = u*m(s) + h(s). Give g(0).
7
Let o(d) = 8*d**2 + 10*d**2 - 29*d**2 + 18*d**2 + d**3 - 37. Calculate o(-6).
-1
Let f(n) be the third derivative of 1/24*n**4 - 1/15*n**5 + 5*n**2 + 5/6*n**3 - 1/120*n**6 + 0 + 0*n. Let o be 36/(-10) + (-2)/5. Determine f(o).
1
Suppose -g - 3*h = -486, 0*h + 5*h - 1462 = -3*g. Let t = -493 + g. Let y(c) = 3*c**2 + 5*c + 3. Give y(t).
31
Suppose 4*f + 9 = -8*q + 5, -3*f = 3*q - 3. Let u(t) = t**2 + 7*t + 9. What is u(q)?
-1
Suppose -2*k + 3*q + 1 = 0, -5*q + 7 + 4 = 3*k. Let d be (132/(-24))/((-1)/k). Suppose 3*h = -d - 1. Let p(n) = -n**2 - 5*n + 1. Calculate p(h).
5
Let x(q) = -35*q**3 + 16*q**2 + 11*q + 8. Let u(a) = 9*a**3 - 2*a**2 - a + 1. Let w(c) = -4*u(c) - x(c). What is w(-5)?
-52
Let w(y) = 4*y + 11. Let u(j) = -j. Let p(a) = 3*u(a) + w(a). Let f be (-24)/20*(-40)/6. Suppose 2*h - 4*c = -f, -c - 3 = -1. What is p(h)?
3
Let x(r) be the second derivative of r**4/12 + r**2/2 - 26*r. Let z be (-7 - (2 + -5)) + 56/(-7) + 6. Determine x(z).
37
Let y be ((-16)/(-40))/((-4 - -2)*(-3)/30). Let r(u) be the second derivative of -7/2*u**y + 0 - 7/12*u**4 - 1/20*u**5 + 5*u - u**3. Determine r(-6).
-7
Let w(o) = 102*o - 12. Let v(n) = 28*n - 4. Let b(q) = 7*v(q) - 2*w(q). Give b(2).
-20
Let b(r) be the third derivative of 53*r**2 + 1/2*r**3 + 0*r + 0 + 1/24*r**4. Determine b(1).
4
Let b(q) = -q - 9. Let n(a) = 5 + 7 - 11 + 0. Let t(i) = -b(i) - 2*n(i). Let l be -7 + -1 + 10 + -5. Give t(l).
4
Let a(h) = 61*h - 24. Let v(q) = -14*q + 6. Let c(d) = 2*a(d) + 9*v(d). Determine c(6).
-18
Let d(m) = 3*m**3 + 722*m**2 - 382*m**2 - 2*m**3 + 35 + 47*m - 366*m**2. What is d(24)?
11
Let v(j) = j**3 + 8*j**2 + 13*j + 29. Suppose 248*b - 142*b = 133*b + 189. Give v(b).
-13
Let l(b) = b**2 - 2*b - 19. Let v be l(7). Let r be 27/6*v/3. Suppose -5*o + 5*c + 25 = -5, -r = -4*o - 3*c. Let g(i) = -i + 3. Determine g(o).
-3
Let b(z) = z**3 - z**2 + 1. Let w(q) = -3*q**3 + 50*q**2 + 98*q + 106. Let m(p) = 2*b(p) + w(p). Give m(50).
8
Suppose -2*l = 3*n - 4*n - 11, 0 = 5*l + 2*n - 5. Let b(k) = 4*k**2 + 1 + 2*k - l*k**2 + 10*k**2 - 3*k**2. Let u be -4 - 1 - (14 - 18). What is b(u)?
7
Let n be 25/3 + -6*(-26)/(-468). Let i(h) = -h**3 + 6*h**2 + 14*h - 7. Determine i(n).
-23
Let u(c) be the third derivative of 0 + 1/8*c**4 - 1/60*c**5 - 1/2*c**3 + 0*c - 128*c**2. Determine u(2).
-1
Let c(n) = -n**2 - 3 + 18*n + 5 + 6. Let f = 139543 - 139525. Determine c(f).
8
Suppose -5*z - 9 + 39 = 0. Let d(v) be the third derivative of v**4/24 - 11*v**3/6 + 2*v**2 - 126. Determine d(z).
-5
Let h(c) = -13*c + 78. Let v be (14/12 + -1 - 1)*(15 - 21). Determine h(v).
13
Suppose -26 = 4*u - 378. Let w(b) = -u*b + 2 + 87*b + 0 + 9. Determine w(10).
1
Let f(d) = -d**2 + 21*d + 32. Suppose -25*a + 8*l = -24*a - 70, 4*l + 90 = 3*a. What is f(a)?
10
Let r(h) = 2*h**2 + 2*h - 16. Let w be (-6)/(-14) + 24/336*-76. Determine r(w).
24
Let p(i) = -10*i - i**2 + i**3 - 5 + 8*i + 0*i**2 + 10 + 0. Give p(0).
5
Let j = 205 + -211. Let w be ((-15)/9 - -1)*j. Let x(v) be the second derivative of -v**4/12 + 5*v**3/6 + 3*v**2/2 - 5*v. Calculate x(w).
7
Let v = 30 + -23. Let a(u) = v*u**2 + 3*u**2 + 1 + 3 - 11*u**2. Let z(s) = s**2 + 4*s - 4. Let i be z(-4). Determine a(i).
-12
Let c(x) be the second derivative of 2*x**4/3 - x**3/6 - 5*x**2 - 3*x - 431. Calculate c(-2).
24
Let p(n) = n**2 - 13*n - 27. Let a be p(15). Suppose s - a*h = -2*s + 18, -4*h - 8 = 4*s. Let u(r) = 5*r**3 - r**2 + 2*r - 1. Give u(s).
39
Let l(j) = j. Let t = 35 - 36. Let f be l(t). Let k(p) be the second derivative of 5*p**4/6 + p**3/6 + p**2/2 - 10*p. Give k(f).
10
Suppose -73*k + 117 = 44*k. Let j(v) = -v**2 + v - 3. Give j(k).
-3
Let t(c) = -c**3 - 4*c**2 + 7*c + 3. Suppose 5*w + 238 = -d + 212, -4*w - 10 = -d. What is t(d)?
33
Let u(z) = 3*z**2 + 24*z + 25. Let j be u(-7). Let b(x) = -j - 27*x - 4 + 4 + 3. Give b(-1).
26
Suppose 184*w - 284*w = -138*w + 114. Let d(n) = n**2 - 54*n + 147. Determine d(w).
-6
Let b(g) = -2*g - 6. Let f = -3 + 8. Let v = 600 - 595. Suppose f*o = 25, -p - v*o + 17 = -3. What is b(p)?
4
Suppose -46*c = 230 - 46. Let k be c + 2 + 5 + -4. Let s(h) = 56*h + 1. Give s(k).
-55
Let p(s) = -4*s**2 + 7*s - 9. Let i be (-2)/(-12)*-4*(15 + -18). Give p(i).
-11
Let u(c) be the third derivative of -c**6/30 + c**5/60 - c**4/6 + c**3/2 - 45*c**2 - 3*c. Let b = 35 + -33. Calculate u(b).
-33
Let g(h) = -h - 2. Let n(u) = -u**2 - 27*u - 8. Let c be n(-26). Suppose o + c = 7*o. Let q(i) = -3*i - 5. Let d(l) = o*q(l) - 8*g(l). Give d(1).
0
Let w = -26 - 41. Let o = 59 + w. Let f(z) = -z**3 - 7*z**2 + 7*z + 8. What is f(o)?
16
Suppose -53*x + 16 = -49*x. Let t(c) = -22*c**2 + 0*c - c + 20*c**2 - x + c**3 - 2*c. Give t(3).
-4
Let z(y) = -y - 1. Let v(s) = 24*s + 20. Let h(o) = 2*v(o) + 44*z(o). Let m be (12/(-9))/((-24)/(-54)). Give h(m).
-16
Let s(x) be the third derivative of -5*x**4/24 + x**3/2 + 49*x**2. Let h(v) = v - 1. Let o(m) = h(m) - s(m). What is o(-3)?
-22
Let f(g) = g + 26. Let h(s) = 2*s + 37. Let m(b) = -4*f(b) + 3*h(b). Determine m(-7).
-7
Let q = -128 - -667. Let r(t) = -1 + q*t - 5 + 541*t - 1081*t. What is r(-2)?
-4
Let h(p) = p**2 + 5*p + 2. Let a = 43 - 38. Let f(v) be the second derivative of -v**4/12 + v**3/2 + 7*v**2/2 - 2*v. Let c be f(a). What is h(c)?
-4
Let l(v) = 12 - 409*v + 774*v + 83 - 356*v. What is l(-11)?
-4
Let w(d) = -d**3 + 4*d**2 - 10*d + 1. Suppose -23*m + 34 = -12. Let n(c) = 2*c**3 - 3*c**2 + 11*c - 2. Let o(s) = m*n(s) + 3*w(s). What is o(-7)?
6
Let m(u) = 2*u**3 - 5*u**2 + 5*u - 3. Suppose -2*x - 488 = -42. Let i = x + 226. Calculate m(i).
21
Let l(k) be the third derivative of -k**4/6 + k**3/3 - k**2 - 929*k. Give l(9).
-34
Let b(f) = -f**3 - 3*f**2 + 4*f + 4. Let x(a) = 2*a**2 + 4*a - 28. Let i be x(-5). Suppose -3*m + 32 = -5*r - 0, 4 = r + i*m. Calculate b(r).
4
Let z(r) = -r**3 + 2*r**2 + 27. Let x be z(0). Suppose -9 = 2*j - x. Suppose -j*f = -5*f - 8. Let i(g) = 2*g**2 + g - 1. Give i(f).
9
Let t(p) = p**3 + 3*p**2 + 4*p + 5. Let f(l) = -l**2 - 3*l. Let x be f(0). Suppose x = 23*n - 3*n + 80. Give t(n).
-27
Suppose -3*o = -2*u - 46, -52 = -9*o + 7*o - 4*u. Let q(z) = o*z + 15 + z**2 - 5 - 2*z**2 - 5*z. What is q(14)?
-4
Suppose 0 = 3*s + 3*w + w - 5, 14 = 4*s - 2*w. Suppose -2*b + 15 = 4*d - s*d, -b + 3*d - 3 = 0. Let o(z) = -28 - 4 + b - z. Determine o(0).
-26
Let n(a) be the first derivative of 21*a**2/2 + 121*a + 112. Calculate n(-6).
-5
Let d be (58/(-290))/(2/(-2650)). Let s = d + -263. Let m(n) = 4*n + 1. Let v(b) = -13*b - 4. Let w(x) = 7*m(x) + 2*v(x). What is w(s)?
3
Let x be 0 + 183/99 - (4030/143 - 28). Let b(o) be the first derivative of x*o**3 - 1/4*o**4 - 5 + 4*o - 2*o**2. Calculate b(4).
4
Let k(a) = -17*a**2 - a + 12. Let n(u) = -30*u**2 - 3*u + 20. Let t(f) = -7*k(f) + 4*n(f). What is t(-8)?
-28
Let v(y) = 3*y**2 - 11*y. Let n be v(4). Let o(t) = t**3 - 5*t**2 + 7*t - 6. Let q be o(n). Let j(i) = -i + 7. Give j(q).
1
Suppose -111*c = -125*c + 182. Let q(r) = -2*r - 1. Calculate q(c).
-27
Let l = 848 - 854. Let u(a) = a - a - 5 - 3*a + 0*a. Let v(r) = -3*r - 4. Let g(y) = -4*u(y) + 3*v(y). Calculate g(l).
-10
Let d(x) = x**3 + 14*x**2 + 13*x - 9. Let f be d(-13). Let v = f + 12. Let s(o) = -o**3 + 3*o**v + 3*o**3 - 2 + 6*o + 5*o**2 - 6*o**3. Give s(6).
-2
Let y(d) = -5*d**3 - 4*d**2 - 3*d. Let k(h) = -16*h**3 - 13*h**2 - 8*h + 7. Let z(x) = 2*k(x) - 7*y(x). Calculate z(-2).
-12
Let i = -218 - -114. Let u = i + 109. Suppose 4*t + 0*t - 8 = h, -2*t + u*h = 14. Let y(z) = 2*z + 3. Determine y(t).
9
Let j(y) = -y**3 + 4*y**2 + 15*y - 11. Let k be 667/(-29) + 29 - (0/1)/2. Determine j(k).
7
Let b(n) = -n**3 - 6*n**2 + 7*n + 3. Let j = -416 - -698. Let x = j - 289. Determine b(x).
3
Let o(f) = 60*f**3 + 110*f**2 + 98*f + 44. Let l(k) = -19*k**3 - 36*k**2 - 32*k - 15. Let c(i) = -19*l(i) - 6*o(i). Give c(-23).
90
Let n(r) = -r**3 - 43*r**2 + r + 46. Let w be n(-43). Let q(s) = -10 - 149*s**w - 32*s**2 + 6*s + 150*s**3 + 24*s**2. Let g be (-2)/3*42/(-4). Calculate q(g).
-17
Let u(h) = -24*h - 441. Let l(j) = 11*j + 203. Let z(t) = -13*l(t) - 6*u(t). Let n be (4/8)/(1/10). Suppose 13 = -n*v - 12. What is z(v)?
2
Let n(h) be the second derivative of -h**5/20 + 5*h**4/12 + 2*h**3/3 + h**2/2 - 12738*h. Determine n(6).
|
{
"pile_set_name": "DM Mathematics"
}
|
om {x: 1, f: 1, w: 2, y: 1, o: 1, d: 1}. What is prob of sequence yx?
1/42
Four letters picked without replacement from ssqvq. What is prob of sequence svqq?
1/30
Calculate prob of sequence hz when two letters picked without replacement from {z: 1, h: 11}.
1/12
Four letters picked without replacement from vvivvpip. Give prob of sequence vvvp.
1/35
Two letters picked without replacement from {f: 10, i: 4}. Give prob of sequence fi.
20/91
What is prob of sequence ajaj when four letters picked without replacement from ajjjajjaaajaa?
21/286
What is prob of sequence ruru when four letters picked without replacement from ururruxxru?
1/35
Three letters picked without replacement from {w: 6, v: 12}. Give prob of sequence vwv.
11/68
Two letters picked without replacement from pxxkxbbxkbbvxkxvbbxk. Give prob of sequence px.
7/380
Four letters picked without replacement from {e: 3, g: 4, j: 1, d: 10}. Give prob of sequence ejed.
1/1224
What is prob of sequence icc when three letters picked without replacement from cccccicccccccccccc?
1/18
What is prob of sequence ap when two letters picked without replacement from apappaaaaapp?
35/132
Four letters picked without replacement from {d: 4, q: 2, i: 3, c: 2}. Give prob of sequence iqqi.
1/660
Calculate prob of sequence jg when two letters picked without replacement from gagjgvjggpaia.
5/78
Calculate prob of sequence fncz when four letters picked without replacement from {a: 1, m: 2, n: 1, c: 3, z: 2, f: 6}.
1/910
What is prob of sequence jpp when three letters picked without replacement from {f: 1, j: 4, p: 2}?
4/105
Four letters picked without replacement from {l: 7, k: 4, t: 1, i: 2, f: 2}. What is prob of sequence tfli?
1/1560
Two letters picked without replacement from {w: 4, e: 1, i: 3, x: 2, b: 2}. What is prob of sequence bx?
1/33
Calculate prob of sequence bbvb when four letters picked without replacement from bbvbbbvvbvvbb.
14/143
What is prob of sequence mjj when three letters picked without replacement from {j: 3, m: 2}?
1/5
Two letters picked without replacement from {p: 5, l: 2, a: 9}. What is prob of sequence aa?
3/10
What is prob of sequence arar when four letters picked without replacement from {w: 3, r: 5, a: 3}?
1/66
Calculate prob of sequence lixi when four letters picked without replacement from {c: 2, i: 3, l: 13, x: 2}.
13/9690
Calculate prob of sequence ggxx when four letters picked without replacement from xmfggxgg.
1/70
Two letters picked without replacement from gbggbggbgg. What is prob of sequence gb?
7/30
What is prob of sequence kzsm when four letters picked without replacement from sssmmzszbzsmkbzmk?
1/357
Calculate prob of sequence ne when two letters picked without replacement from lnnnoeenoeneeetnt.
9/68
Two letters picked without replacement from {e: 7, y: 1, g: 1, k: 3, t: 2}. Give prob of sequence tk.
3/91
Calculate prob of sequence vt when two letters picked without replacement from vbbbttptbvtttbvtb.
21/272
Three letters picked without replacement from {o: 1, n: 1, y: 5, e: 6, p: 1}. What is prob of sequence nep?
1/364
What is prob of sequence mp when two letters picked without replacement from ddpmtpddd?
1/36
What is prob of sequence fzd when three letters picked without replacement from {d: 4, j: 4, f: 1, z: 4, b: 1, p: 1}?
8/1365
Three letters picked without replacement from rrhhrvrvirhvrrrvvh. Give prob of sequence rhv.
5/153
Three letters picked without replacement from umkjujdggjgmkkgjuujj. What is prob of sequence jmg?
2/285
Calculate prob of sequence ww when two letters picked without replacement from {p: 3, a: 1, w: 5, g: 3, c: 7}.
10/171
Calculate prob of sequence rsp when three letters picked without replacement from rrssbrprpsbwbs.
4/273
What is prob of sequence af when two letters picked without replacement from ddafdddsdsdsdsddd?
1/272
Four letters picked without replacement from csbsbbbc. What is prob of sequence sbsc?
1/105
Calculate prob of sequence aa when two letters picked without replacement from maaaaamamaaaamam.
11/24
Four letters picked without replacement from {w: 1, z: 6, b: 3, r: 3}. Give prob of sequence wrzz.
3/572
Three letters picked without replacement from dqqakqqqzaqdqzaqqdqz. What is prob of sequence dkq?
1/228
Three letters picked without replacement from {a: 1, e: 3, l: 3, x: 7}. Give prob of sequence lal.
1/364
Four letters picked without replacement from {j: 2, s: 2, e: 9, y: 5}. What is prob of sequence sjje?
1/2040
Three letters picked without replacement from {d: 2, s: 9, x: 2, y: 1}. What is prob of sequence yds?
3/364
Calculate prob of sequence yyoo when four letters picked without replacement from {y: 3, o: 1}.
0
What is prob of sequence kw when two letters picked without replacement from {x: 2, w: 6, n: 3, u: 1, k: 1}?
1/26
Three letters picked without replacement from {t: 4, n: 2, i: 8}. What is prob of sequence nit?
8/273
Two letters picked without replacement from {t: 7, j: 2, o: 7}. Give prob of sequence jj.
1/120
Calculate prob of sequence izf when three letters picked without replacement from fcizffi.
1/35
Calculate prob of sequence btbt when four letters picked without replacement from bttqtqbb.
3/140
Three letters picked without replacement from kwbwgwdw. What is prob of sequence gdb?
1/336
Four letters picked without replacement from qhqnqnn. What is prob of sequence nnnh?
1/140
Two letters picked without replacement from pzpzppzzzpzzzzozppz. What is prob of sequence zz?
55/171
Four letters picked without replacement from vayylayayalyvaavayya. Give prob of sequence lvva.
4/4845
Calculate prob of sequence vm when two letters picked without replacement from {v: 3, r: 1, m: 6, s: 2, u: 4, p: 3}.
1/19
Calculate prob of sequence dc when two letters picked without replacement from dddcdddc.
3/14
Four letters picked without replacement from {t: 14, u: 5}. Give prob of sequence uutt.
455/11628
Three letters picked without replacement from leegejleeelgjllele. Give prob of sequence gll.
5/408
What is prob of sequence tz when two letters picked without replacement from {z: 4, t: 4, a: 1, k: 1, v: 1, s: 1}?
4/33
Four letters picked without replacement from lddlllllll. What is prob of sequence lddl?
1/45
Four letters picked without replacement from {i: 4, k: 7}. Give prob of sequence iiii.
1/330
Three letters picked without replacement from {x: 3, z: 5, w: 1, j: 1, n: 2, l: 1}. Give prob of sequence xxx.
1/286
Four letters picked without replacement from {i: 15, u: 5}. What is prob of sequence uiiu?
35/969
What is prob of sequence mm when two letters picked without replacement from pmmxzmmukmxxm?
5/26
Calculate prob of sequence fff when three letters picked without replacement from {f: 3, b: 17}.
1/1140
Three letters picked without replacement from {y: 1, w: 5, i: 10, r: 4}. Give prob of sequence wiw.
5/171
Three letters picked without replacement from ayyaaqzssyayyqbay. What is prob of sequence qqa?
1/408
Two letters picked without replacement from {a: 3, b: 7, x: 8}. What is prob of sequence aa?
1/51
Two letters picked without replacement from snas. What is prob of sequence sa?
1/6
What is prob of sequence bjzw when four letters picked without replacement from jxqwzxb?
1/840
Three letters picked without replacement from {c: 5, u: 3, i: 3}. Give prob of sequence uui.
1/55
Four letters picked without replacement from lbljllmbjzbmlmbmbmmj. What is prob of sequence jmjm?
1/646
What is prob of sequence xe when two letters picked without replacement from xxexeee?
2/7
Three letters picked without replacement from zxhlxunh. Give prob of sequence hul.
1/168
What is prob of sequence iicc when four letters picked without replacement from {e: 1, c: 2, u: 1, i: 5}?
5/378
Two letters picked without replacement from {j: 2, i: 1, e: 1, b: 2, k: 6, z: 3}. Give prob of sequence jz.
1/35
Calculate prob of sequence rruu when four letters picked without replacement from {u: 2, r: 5}.
1/21
Three letters picked without replacement from {h: 2, a: 7, g: 1, p: 2}. What is prob of sequence hgh?
1/660
Calculate prob of sequence faet when four letters picked without replacement from faeaaeeecettee.
1/572
Calculate prob of sequence kk when two letters picked without replacement from {m: 1, k: 3, i: 3}.
1/7
What is prob of sequence urbo when four letters
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -k + 5*k = -2*f + 5530, k = 5*f - 13781. Is f a composite number?
True
Suppose 5*h + 3 = 8. Suppose 21 = b - 2*s, -s + h + 21 = 2*b. Is b composite?
False
Let j(a) = a**3 + 27*a**2 + 11*a - 40. Is j(-22) prime?
False
Let l(w) = -4*w**2 + 3. Let b be l(-3). Suppose -11 = -t - 34. Let y = t - b. Is y composite?
True
Let s(t) = -t**2 - 6*t - 6. Suppose -5*a = -2*k - 10, 4*k - 2*a + 0*a - 12 = 0. Let w be s(k). Let y = -40 - w. Is y a composite number?
True
Is (-3882)/(-4)*(-10)/(-15) a composite number?
False
Suppose -2*x + 3*v = 45, -2*v + 10 = x + 3*v. Let d(l) = -l**3 - 5*l**2 + 36*l - 17. Is d(x) a composite number?
False
Suppose -2*c - c = 0. Suppose c = j + 15 - 184. Suppose u - j = 30. Is u prime?
True
Let y(z) = 4*z - 2*z - 5*z**2 - 3 - z + 3*z**3. Let u(a) = 3*a - 2. Let s be u(2). Is y(s) prime?
True
Let d be 4304/32 + 2/4. Suppose -d = -5*j - 10. Let y = j + 9. Is y a composite number?
True
Suppose 9*k - 5083 = 7850. Suppose -3*x + 9924 = -k. Is x composite?
True
Let h(k) be the second derivative of 13*k**5/2 + k**4/12 - k**3/3 + k**2 + 29*k. Is h(1) a composite number?
False
Is (-96936)/(-72) + (-4)/3 a prime number?
False
Let z be (2749/(-3))/(1/(-3)). Suppose -3*k + m = 5*m - 2765, z = 3*k - 4*m. Is k prime?
True
Is -4 + (-8)/(48/(-20214)) composite?
True
Is (21/6 - 3)*8098 prime?
True
Let k = 47 + -75. Let m = k - -65. Is m composite?
False
Suppose 28*b - 11*b = 216563. Is b a prime number?
True
Let q be 10/40 + (138/8)/3. Suppose 2*j - q*j - 1224 = -4*p, 5*p = -5*j + 1540. Is p a composite number?
False
Let b(h) = -h**3 + 10*h**2 - 5*h + 3. Let s be b(9). Let w be 4 + s + -3 + 1. Let z = w + 42. Is z a prime number?
True
Suppose -1664 = -4*i + 4*v, -2*i + 4*i + v - 835 = 0. Let x = -194 + i. Is x composite?
False
Suppose 0 = -7*g + 3*g + 484. Let d = -24 + g. Is d prime?
True
Let v = 11914 + -7003. Suppose 0 = -0*z + 3*z - v. Is z prime?
True
Let u = -878 - -2800. Let i = u + -395. Is i a composite number?
True
Suppose 1373 = -4*o - 4887. Let j = o - -2444. Is j composite?
True
Let y = -8 - -19. Suppose 4*n + 2 = 3*f, 0*f + 4*f - y = -3*n. Is (4/(-12))/(n/(-921)) a prime number?
True
Let a = 618 - -225. Is a composite?
True
Let p(z) = -z**2 + 7*z. Let c be p(7). Suppose c = h + 138 - 8. Let t = h - -236. Is t a composite number?
True
Let i(a) = -1998*a**3 + 5*a**2 + 8*a - 8. Is i(-3) prime?
True
Let p(r) = 554*r + 81. Is p(13) a composite number?
False
Let o = -70 - -72. Suppose -o*a - 779 = -7*a + 2*b, -2*a + 320 = -5*b. Is a a composite number?
True
Let o(f) = -221*f + 9. Is o(-2) a prime number?
False
Let r(p) = p**3 + 4*p**2 + 5*p + 2. Let n be r(-3). Let t(g) = g**2 + 2*g - 1. Let d be t(n). Suppose -b - d + 386 = 0. Is b a prime number?
True
Suppose -751 - 2092 = -4*u - 5*c, 0 = -2*u - 2*c + 1422. Let q = u - -411. Is q composite?
False
Let k = 64 + -42. Let r be k + 1*(1 - 4). Let y = 98 - r. Is y a composite number?
False
Is 42/126 - 4610/(-3) composite?
True
Let d(p) be the second derivative of p**4/12 - 4*p**3/3 - p**2/2 - 16*p. Is d(22) composite?
False
Suppose f + 2*j = -0*f - 10, -2*f - 5*j - 20 = 0. Let s be (-1)/(-2) - 45/f. Suppose -2*v - 760 = -7*v - 5*m, s*v = 3*m + 736. Is v composite?
False
Suppose -99*a + 1756 = -103*a. Let y = a + 1002. Is y a composite number?
False
Let q(o) be the second derivative of 9*o**4/2 - 2*o**3/3 + 3*o**2/2 + 16*o. Is q(2) a prime number?
True
Let s be 2 + (5 - -11532) - (-6)/(-2). Suppose -x + s = 4*m - 0*m, -4*m + 5*x = -11560. Is m a prime number?
False
Suppose 0 = -9*l + 10975 + 5162. Is l prime?
False
Suppose 17 - 27 = -5*o. Suppose o*f + 2218 = 3*f. Is f prime?
False
Suppose -52*u - 3339 = -55*u. Suppose -4*l = -5*l + 5*v + u, 0 = 2*l + 4*v - 2296. Is l composite?
True
Is (-2)/(6/(-30729)) - (-7 - -3) prime?
True
Suppose 4*a + t + 1083 = 5962, -6110 = -5*a + t. Let o = 1150 + a. Is o composite?
False
Let x(n) be the first derivative of 11*n**3/3 - 19*n**2/2 + 4*n - 3. Let t(p) = 7*p**2 - 13*p + 3. Let c(u) = -7*t(u) + 5*x(u). Is c(9) prime?
True
Is ((-1)/3 - -1)/((-102)/(-102969)) composite?
False
Suppose -4*x + 78 = j, -5*j + 6*j = 2. Is x prime?
True
Is 16/(-56) + (-4208016)/(-28) + 1 a prime number?
True
Suppose -3*a + 4260 + 16621 = m, -3*m + 2*a + 62599 = 0. Is m a prime number?
False
Suppose 135914 = 38*q - 896888. Is q composite?
False
Let j(u) = -u**2 - 2*u + 2. Let w be j(0). Suppose w*x + 3 = 9. Let f(v) = 2*v**3 + v**2 + v + 1. Is f(x) prime?
True
Let r = -211614 + 296773. Is r a composite number?
False
Suppose 3*f = 4*y - 31, 3*f = 5*y - 48 + 13. Suppose -u = 3*t - 655, u + y*u = 3*t + 3347. Is u composite?
True
Let l(g) = 3034*g - 143. Is l(15) a prime number?
False
Suppose 12*y - 7*y = 0. Suppose y = -0*p - 2*p, 0 = -c - 3*p + 653. Is c composite?
False
Let l(k) = -19*k**3 - 2*k + 1. Let o be l(1). Let d be ((-52)/o + -3)*5. Let i(f) = -7*f**3 - 2*f - 1. Is i(d) prime?
True
Let w = -17603 + 31222. Is w a prime number?
True
Let f(m) = -m**2 + 13*m + 7. Let b be f(13). Let r be 6 - (-2 + (-4)/(-1)). Suppose -4*h = -3*w + b*w - 2244, 0 = r*w - h - 2254. Is w prime?
True
Suppose -3*o = 4*k - 7640, -7*k + 2*k - 2*o + 9543 = 0. Is k prime?
True
Let u(v) = -58*v**3 - v**2 - 4*v + 1. Let m(f) = -57*f**3 - f**2 - 3*f + 1. Let r(j) = 3*m(j) - 2*u(j). Is r(-2) a prime number?
True
Let z(y) = 15*y**3 + 4*y**2 + 46*y - 80. Is z(7) prime?
False
Let n = -716 + 19. Let r = n + 3402. Is r prime?
False
Suppose -41227 = -4*t + 5*j + 31119, 18095 = t + 3*j. Is t a prime number?
True
Let v = 21756 + -15518. Is v composite?
True
Let z(c) = -c - 1. Let q(f) = 8*f - 14. Let a(p) = -q(p) + 4*z(p). Let r be a(-5). Suppose s = 3*s - r. Is s prime?
False
Let y = -7 + 11. Suppose 4*c + 8 = 0, -2*m = -3*m + y*c + 129. Is m a composite number?
True
Let c = 21 - 20. Let v be c + 2 + (-1 - -1). Is v/2 + 3/2 a prime number?
True
Let z = -34 + 19. Is 51/z + 3 + 5414/10 composite?
False
Suppose 4*c - 8 = -8. Suppose 2*j - 87 - 143 = c. Is j prime?
False
Let g(a) = a**3 + 8*a**2 - 4*a + 8. Let c be g(-6). Suppose n = -3*n + 2796. Suppose -5*u - c = -n. Is u composite?
True
Let y be (-30)/(-45)*(-1 + -2). Is (-17 - -1375)/((-4)/y) a prime number?
False
Let a(p) = 84*p**3 - p**2 - 5*p + 9. Is a(2) a composite number?
True
Let c(j) = j**3 - 6*j**2 - 3*j + 2. Let u be c(6). Is 3/(-12) + (-15476)/u a composite number?
False
Is 1*2*(-204378)/(-12) prime?
False
Let o(v) = v + 1. Let m be o(3). Suppose m = 2*d + 3*w, 0 = -0*d - d + 4*w + 2. Suppose 3*r = l + 57, d*r + 3*l - 38 = -0*r. Is r a prime number?
True
Is (-6)/(24/34)*(1 - 587) a prime number?
False
Suppose -3*j = -4*l + j - 1168, -l - 300 = 3*j. Let b = l - -1072. Is b prime?
False
Let w(c) = 6*c**2 - 15*c + 17. Suppose -3*x + 4 = 40. Is w(x) a composite number?
False
Let n = 143 + -139. Suppose 2*b + 5*q = 4106, -10481 + 2269 = -n*b - 3*q. Is b prime?
True
Let p = -9 - -11. Let v(x) = -7*x**2 + 3 - x + 21*x**p - 4. Is v(2) a composite number?
False
Let u = 17 - 15. Suppose -3*n = u*n + 5. Is 91/(-14)*(n - 13) prime?
False
Let s be (1500/16 - 3)*(-24)/(-9). Let f = 409 - s. Is f a prime number?
True
Suppose -4*r + 5 + 8 = 5*p, 2*r - 3*p = 1. Let w be 256 + 1*(r + -1). Suppose w = k - 74. Is k prime?
True
Let l(u) = u**2 - 8*u - 9. Let k be l(9). Suppose -5*h - 216 = -2*a - 720, k = 5*a + h + 1287. Let n = 516 + a. Is n a composite number?
True
Let t = 5501 - 468. Is t composite?
True
Let k(g) = -g**3 + 9*g**2 - 3*g + 5. Let u be k(8). Suppose 5*s = 165 - u. Let x = 13 + s. Is x a prime number?
True
Let a = 56 - 57. Is -2 - (a + (1 - -2)*-414) a prime number?
False
Is 12300 + 2/(-2) + (18 - 16) prime?
True
Suppose -13397 = 139*q - 140*q. Is q a composite number?
False
Let o(l) = -395*l + 16. Is o(-15) composite?
True
Suppose -2*v + 212 = 2678. Let y = 233 - v. Is y composite?
True
Suppose 3*j + 3*o - 21201 = 0, -5*j + 3*o + 11362 = -23973. Is j a composite number?
True
Suppose 3*c - 215 = -74. Suppose 2*m - 6*m + 24 = 0. Suppose -m*a - 23 = -f - 2*a, a + c = 3*f. Is f composite?
True
Let t(q) be the third derivative of -1/24*q**4 + 3/20*q**5 + 0 + 0*q + q**2 + 1/6*q**3. Is t(6) a prime number?
False
Let t = 240 - -3251. Is t prime?
True
Let k(m) = m**2 + 48*m - 189. Is k(-58) prime?
False
Let p be (-8)/(-4)*(-10)/(-4). Suppose -39 = p*n + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
t(204)/(sqrt(96)/sqrt(72)))**2 + 0.
153
Simplify 0 + sqrt(17) + 1 + -5*sqrt(68)/sqrt(4).
-4*sqrt(17) + 1
Simplify ((-2 + 0 + sqrt(5))**2 + sqrt(5) + sqrt(5)*-1 + -2)*-6.
-42 + 24*sqrt(5)
Simplify -5*(-5 + (sqrt(432)*-2 - sqrt(432)) + -4).
45 + 180*sqrt(3)
Simplify (-1 + sqrt(567) + -3 + sqrt(567))**2.
-144*sqrt(7) + 2284
Simplify ((3 + sqrt(76)/sqrt(4) - sqrt(19)) + -1 + sqrt(1539))**2 + sqrt(57)/(sqrt(363)*2).
793*sqrt(19)/22 + 1543
Simplify (1 + sqrt(153) + -1 + sqrt(153) - sqrt(153))**2.
153
Simplify -3*(sqrt(7) - ((sqrt(7) - sqrt(448)) + 0)).
-24*sqrt(7)
Simplify (0 + sqrt(18))**2 + sqrt(22)/(sqrt(33)/sqrt(3)).
sqrt(2) + 18
Simplify 2 + (sqrt(126)/(sqrt(24)/sqrt(4)))/(sqrt(343)*2 - sqrt(343)).
sqrt(3)/7 + 2
Simplify (sqrt(120)/sqrt(4))/sqrt(10) + (0 + sqrt(3) + 1 + sqrt(3))**2.
5*sqrt(3) + 13
Simplify (sqrt(432) - (sqrt(432) + (-1 + sqrt(432) - sqrt(432)))**2)*3 + (-3*sqrt(432)*2)**2.
108*sqrt(3) + 14253
Simplify (sqrt(165)/(sqrt(3)*1))/(sqrt(44)/sqrt(4)*4).
sqrt(5)/4
Simplify ((sqrt(120)/sqrt(3)*3)/sqrt(8))**2.
45
Simplify (sqrt(12)/(-1*sqrt(6)) - (-4 + (sqrt(2) + sqrt(8)/sqrt(4) - sqrt(2))))**2.
-16*sqrt(2) + 24
Simplify 0 + (sqrt(19) + sqrt(38)/sqrt(2))*5*-6.
-60*sqrt(19)
Simplify 6*((sqrt(153) + (sqrt(153) + -1*sqrt(153) - sqrt(153))*-5)/sqrt(9) + -3).
-18 + 36*sqrt(17)
Simplify (sqrt(90)/(sqrt(6) - (sqrt(54) - sqrt(6)) - sqrt(6)) - sqrt(15) - sqrt(15))/(6*1*sqrt(3)).
-5*sqrt(5)/12
Simplify (sqrt(75) - 2*sqrt(75) - sqrt(75))**2 - (0 + 2*sqrt(3)).
-2*sqrt(3) + 300
Simplify (sqrt(7) - sqrt(28)/sqrt(4) - sqrt(7)) + 0 - (sqrt(175) + -1).
-6*sqrt(7) + 1
Simplify (sqrt(187)*2*5)/sqrt(11).
10*sqrt(17)
Simplify (sqrt(1216) + 1 + sqrt(1216) + -5 + -2)**2.
-192*sqrt(19) + 4900
Simplify (-1*sqrt(77)*2 - sqrt(77))/(sqrt(33)/sqrt(3)*-1 - sqrt(11)).
3*sqrt(7)/2
Simplify -5 + (sqrt(152)/(sqrt(72) + sqrt(72) + 2*sqrt(72)))**2.
-701/144
Simplify (-3*(sqrt(405) - (-1 + sqrt(405))))**2.
9
Simplify ((sqrt(600)*5)/sqrt(8))**2.
1875
Simplify (3 + (sqrt(891) - -2*sqrt(891))*-5)**2.
-810*sqrt(11) + 200484
Simplify (-1 + sqrt(162) + sqrt(54)/(sqrt(3)*2))**2 + -5.
-21*sqrt(2) + 433/2
Simplify (-2 + sqrt(28) + sqrt(7))**2 + 4*sqrt(112).
4*sqrt(7) + 67
Simplify -3 + sqrt(34)/sqrt(2) + 4.
1 + sqrt(17)
Simplify sqrt(13) + (-1 + sqrt(13))**2 + -4 + sqrt(13) + 4.
14
Simplify (2*(sqrt(25) - 2*sqrt(25)))/(sqrt(405) + sqrt(405)*-1 - sqrt(405) - sqrt(5)).
sqrt(5)/5
Simplify (3*sqrt(3993) + sqrt(33))/(sqrt(147)*3).
34*sqrt(11)/21
Simplify (-5 + (sqrt(5) - sqrt(25)/((-2*sqrt(5) - sqrt(5)) + sqrt(5))) + 5)**2.
45/4
Simplify -3 + sqrt(120)/sqrt(6).
-3 + 2*sqrt(5)
Simplify (sqrt(117) + 4)**2 + sqrt(13) + -3 + 0.
25*sqrt(13) + 130
Simplify -1*(sqrt(475)*2 + 1)**2.
-1901 - 20*sqrt(19)
Simplify ((2 + sqrt(500) + -2)*2)**2.
2000
Simplify ((3 + sqrt(17))*4)**2 - ((sqrt(17)*-5 + -4)**2 + sqrt(17)).
-25 + 55*sqrt(17)
Simplify (((sqrt(153) - ((0 + sqrt(153))*3 + sqrt(153)) - sqrt(153)) + 0)*1)**2.
2448
Simplify sqrt(5)*3*5 - sqrt(25)/(-2*sqrt(5)).
31*sqrt(5)/2
Simplify (sqrt(143)*-1*5)/sqrt(11) + -2.
-5*sqrt(13) - 2
Simplify ((sqrt(10)/(sqrt(12)/sqrt(6)))**2 + (sqrt(5) - (sqrt(5) - sqrt(5)*2)*-1) + sqrt(5))*-4.
-20 - 4*sqrt(5)
Simplify sqrt(5) - (sqrt(80)/sqrt(4))**2 - -5*sqrt(45).
-20 + 16*sqrt(5)
Simplify ((sqrt(13) - -5*sqrt(208)) + sqrt(39)/sqrt(3) + 4)**2.
176*sqrt(13) + 6308
Simplify (-4*(sqrt(931) + sqrt(931)*-2) - (sqrt(931) + -1 - sqrt(931) - sqrt(931))*4)**2.
448*sqrt(19) + 59600
Simplify (0 + sqrt(931))**2*-6.
-5586
Simplify (sqrt(405)*-2)**2 + (sqrt(90)/sqrt(3))/sqrt(6).
sqrt(5) + 1620
Simplify 5 + sqrt(1584) + (sqrt(1584) - (0 + sqrt(1584)) - sqrt(1584)) - sqrt(1584) - (-3 + (sqrt(1584) + 1 - sqrt(1584))).
-12*sqrt(11) + 7
Simplify sqrt(99)/((sqrt(9) - -3*sqrt(9))*-4).
-sqrt(11)/16
Simplify -3*(3*sqrt(3) + sqrt(3))*-6.
72*sqrt(3)
Simplify (sqrt(55) - (sqrt(110)*1)/sqrt(2) - sqrt(55))/((sqrt(121) + sqrt(121)*-2)/sqrt(11) - sqrt(11)).
sqrt(5)/2
Simplify 1*5*(sqrt(38)/sqrt(2) - sqrt(19)).
0
Simplify -3 + (-1*sqrt(88))/(sqrt(33)/(sqrt(9)/sqrt(3))).
-3 - 2*sqrt(2)
Simplify (sqrt(33) + sqrt(132)*3)/(sqrt(11)*-3*6).
-7*sqrt(3)/18
Simplify (sqrt(156) - (sqrt(156) + (sqrt(156)*1 - sqrt(156))))/sqrt(12) + -4.
-4
Simplify sqrt(30)/(sqrt(6) - -4*(sqrt(6) + sqrt(600))).
sqrt(5)/45
Simplify sqrt(486)/sqrt(3)*-2*2.
-36*sqrt(2)
Simplify (-2*(sqrt(130)*-1 - sqrt(130)))/(sqrt(40)*4).
sqrt(13)/2
Simplify 4*(2 + sqrt(20)/sqrt(4))*-1.
-4*sqrt(5) - 8
Simplify (sqrt(220)/sqrt(16))/(2*sqrt(99)).
sqrt(5)/12
Simplify (sqrt(7) - (1 + (sqrt(28) - sqrt(7)))**2)*-1.
sqrt(7) + 8
Simplify (-3*sqrt(6)/sqrt(3))**2 - (sqrt(2) - sqrt(22)/(sqrt(11) + sqrt(11)*-1 + sqrt(11))).
18
Simplify (sqrt(8)/sqrt(4)*5 + sqrt(6)/sqrt(3)*-2)*2.
6*sqrt(2)
Simplify ((sqrt(35)/sqrt(7) + -5)**2 - sqrt(5)) + sqrt(5) + -1 + 0.
-10*sqrt(5) + 29
Simplify (sqrt(792)*-1)/sqrt(2).
-6*sqrt(11)
Simplify 4*sqrt(8) + 3.
3 + 8*sqrt(2)
Simplify (sqrt(44)/sqrt(4) + -4)**2 + (4 + sqrt(44))**2.
8*sqrt(11) + 87
Simplify sqrt(4)/(sqrt(2)*-2*-6) + -3.
-3 + sqrt(2)/12
Simplify (sqrt(76) + -3*-1*sqrt(76))/((sqrt(108)/sqrt(3))/sqrt(9)).
4*sqrt(19)
Simplify (sqrt(896)*-3)/(sqrt(14)/(sqrt(12)/sqrt(6))).
-24*sqrt(2)
Simplify ((sqrt(15) - sqrt(60))/sqrt(3) - -5*sqrt(5)*1)**2.
80
Simplify 0 + (1 + sqrt(252) + sqrt(252)*-2 - sqrt(252)).
-12*sqrt(7) + 1
Simplify ((sqrt(85) - -1*sqrt(85))/sqrt(5) + sqrt(17))**2 + (1 + sqrt(17))*-2.
-2*sqrt(17) + 151
Simplify sqrt(784)/sqrt(7) + sqrt(7) + 0.
5*sqrt(7)
Simplify -2 + sqrt(180) + -1 + -1 + sqrt(180)*-1 + 2.
-2
Simplify -2 + -3*sqrt(832).
-24*sqrt(13) - 2
Simplify (-6*(sqrt(1900) + 4 + sqrt(1900)))**2.
5760*sqrt(19) + 274176
Simplify (sqrt(15)/sqrt(3) + -3 + sqrt(5))*-5.
-10*sqrt(5) + 15
Simplify (-1*sqrt(325))**2 + 1 + sqrt(117).
3*sqrt(13) + 326
Simplify (-3*1*sqrt(117))**2*5 + 4.
5269
Simplify (4 + (sqrt(160) - sqrt(160)*-1)/sqrt(8))**2.
32*sqrt(5) + 96
Simplify (sqrt(108)/sqrt(3) - sqrt(9))/(sqrt(3) + (sqrt(192) - -3*sqrt(192) - sqrt(192))).
sqrt(3)/25
Simplify -5 + -3 + (sqrt(17) + 1 + 4)**2.
34 + 10*sqrt(17)
Simplify (6*(sqrt(7) + sqrt(7)*-3) - (sqrt(28)*2 + sqrt(7)))**2*-3.
-6069
Simplify (sqrt(2200) + -1*sqrt(2200) + sqrt(2200) + sqrt(2200))/(sqrt(11) + sqrt(99)*5).
5*sqrt(2)/4
Simplify sqrt(96)/sqrt(3) - (4 + 1 + sqrt(2))**2.
-27 - 6*sqrt(2)
Simplify (sqrt(288)*-2)**2.
1152
Simplify (3*sqrt(85)*-1)/(sqrt(15)/(sqrt(3)*2 + sqrt(3) + sqrt(3))).
-12*sqrt(17)
Simplify (-4*sqrt(36)/sqrt(2))/sqrt(6) + (sqrt(6)/(-1*sqrt(2)) - sqrt(243)*-2).
13*sqrt(3)
Simplify 1*((sqrt(243) - (1 + -2*sqrt(243)))**2 + -5).
-54*sqrt(3) + 2183
Simplify (sqrt(363) + 2)**2 + 3.
44*sqrt(3) + 370
Simplify -1 + -1 + (sqrt(3630) + sqrt(30))/sqrt(6).
-2 + 12*sqrt(5)
Simplify 0 + sqrt(28) - sqrt(896)/sqrt(8).
-2*sqrt(7)
Simplify (sqrt(343)*-4)**2 + -4*-1*sqrt(7).
4*sqrt(7) + 5488
Simplify (sqrt(119) - 1*2*sqrt(119))/(-4*(-1*sqrt(7) - sqrt(7))).
-sqrt(17)/8
Simplify 2*(sqrt(5472)*-1)/(-2*sqrt(128)).
3*sqrt(19)/2
Simplify (3 + sqrt(34)/sqrt(2) - (sqrt(17) + (3 + sqrt(17) + -2 + sqrt(17))**2))*-4.
16*sqrt(17) + 264
Simplify 2 + -1*(sqrt(425)*-3)**2.
-3823
Simplify (-4 + (-5*(sqrt(147) + -1) - (sqrt(147) - ((0 + sqrt(147))*-6 - sqrt(147)))))**2.
-182*sqrt(3) + 24844
Simplify ((sqrt(416) - 2*sqrt(416)) + sqrt(416) + sqrt(416))/sqrt(2) + 4.
4 + 4*sqrt(13)
Simplify 0 + sqrt(99)/sqrt(729).
sqrt(11)/9
Simplify sqrt(5) + (sqrt(80) - sqrt(5))*-1 - sqrt(45)/(sqrt(36)/sqrt(4)).
-3*sqrt(5)
Simplify (6*(sqrt(12)/sqrt(4) + sqrt(3)) + sqrt(3) + sqrt(36)/(sqrt(12) + -1*sqrt(12) + sqrt(12)))**2.
588
Simplify (sqrt(76) + sqrt(76) + (-4*(sqrt(76) + -2*sqrt(76)) - sqrt(76)) + sqrt(76))/(sqrt(4) + -1*sqrt(256) + sqrt(256)).
6*sqrt(19)
Simplify (1*(sqrt(19) + -2 + sqrt(19)) - (sqrt(19) + 2)*-5)**2.
112*sqrt(19) + 995
Simplify (2*sqrt(108))/(sqrt(16)/(sqrt(16)/sqrt(4))).
6*sqrt(3)
Simplify (sqrt(400)/sqrt(5))**2 - 2*sqrt(25)/sqrt(5).
-2*sqrt(5) + 80
Simplify (sqrt(30)/(sqrt(8) - sqrt(2)) + sqrt(15))/(-2*sqrt(5)*-2 + sqrt(5)).
2*sqrt(3)/5
Simplify ((sqrt(95)*3 - sqrt(95))*-3 + sqrt(95))/sqrt(5).
-5*sqrt(19)
Simplify (-3*(4*(sqrt(1216) + -3) + sqrt(1216)))**2.
-8640*sqrt(19) + 274896
Simplify ((sqrt(539) + -2)*5)**2.
-700*sqrt(11) + 13575
Simplify -4*(4 + -1 + sqrt(17) + -1).
-4*sqrt(17) - 8
Simplify (sqrt(266)/sqrt(7))/sqrt(2) - (5 + sqrt(19)*3).
-2*sqrt(1
|
{
"pile_set_name": "DM Mathematics"
}
|
ber?
True
Let m(o) = o**2 + 4*o + 2. Let p be m(-3). Let v be p*2 + 0 + 5. Suppose 4*u - 3*a = a + 144, 3*u = -v*a + 114. Is u a composite number?
False
Let s be 43/(-5) - (-8)/(-20). Suppose -4*x + 0*x = -80. Let h = x + s. Is h a prime number?
True
Let a(l) be the first derivative of l**2 - 3. Let q be a(-2). Is 14/16*-82*q a prime number?
False
Let p(j) = -5 - 4*j - j + 3*j**2 + 2*j. Is p(-8) composite?
False
Is 3333/21 - 4/(-14) composite?
True
Suppose -t + 437 = -g - 2*g, 4*g + 1740 = 4*t. Is (t/(-28))/(1/(-10)) a prime number?
False
Suppose -2*i + 11 = -69. Suppose q - 91 = -2*b, 4*q + 5*b - 211 - 156 = 0. Suppose p - q = -i. Is p a prime number?
True
Let i(z) = -6*z**3 + 5*z + 6. Let o be i(-4). Is (4/8)/(1/o) a prime number?
False
Suppose -20 = -3*g - 5. Suppose -5*o - 65 = -g*x, -3*o = -5*x + 30 + 39. Is x composite?
True
Suppose 0 = -0*t + 5*t - 25. Suppose -3*z + 2*z + t*n = -97, -4*z = -2*n - 316. Is z prime?
False
Suppose 4*s - 12 = -0. Suppose -276 = -s*r - r. Is r a prime number?
False
Suppose 5*c + 0*c - 345 = 0. Is c a prime number?
False
Let z(u) = u**3 - 6*u**2 - 7*u + 7. Let k be 8/28 - (-19)/7. Suppose 6*i - k*i - 21 = 0. Is z(i) a composite number?
False
Let g(h) = 125*h + 2. Let x be (2 - -2) + 1 + -4. Is g(x) a composite number?
False
Suppose p - 26 = 61. Is p a composite number?
True
Let k(p) = p - 1. Let y be k(3). Let i be 1*y/1*2. Is ((-6)/i)/(15/(-100)) prime?
False
Let d = 2 + -2. Let j(s) be the second derivative of s**5/20 - s**4/12 + s**3/6 + 21*s**2/2 + 3*s. Is j(d) a prime number?
False
Let p = 263 + -100. Is p prime?
True
Let u = -571 + 2520. Is u composite?
False
Let k(n) = -13*n + 1. Let f = -3 + 6. Suppose 3 = f*u + 3*a, -u + 5 = -0*u + 3*a. Is k(u) a prime number?
False
Let o be (-2 - 1) + 2 - 1. Let g = -1 - o. Is (47 - g)*(-6)/(-12) a composite number?
False
Suppose 3*c = 4*q - 2415, -132 = -2*q + 2*c + 1076. Let f = -418 + q. Is f prime?
False
Suppose -7*h + 36 = -3*h. Let i(y) = -y**3 + 10*y**2 - 7*y - 5. Is i(h) a prime number?
True
Suppose -5*z = -z - 12, 391 = 2*g + 3*z. Is g a prime number?
True
Let j(r) = r + 7. Let t be j(-7). Let u = 7 + t. Suppose 4*w - u*w = -195. Is w a prime number?
False
Let c = 18 + -10. Is 34 - (2 - c - -3) a composite number?
False
Suppose 0 = -x + 4*a + 74, 0 = 2*x + 2*a - 8 - 140. Is x a composite number?
True
Suppose 5*j - 1192 - 328 = 0. Suppose p = -2, 4*y = -0*p + 2*p - j. Let t = y - -172. Is t composite?
True
Let x = -20 + 13. Let c be -1*(-2 - 15/(-3)). Is x/((3/1)/c) prime?
True
Let x(n) = -7*n - 5. Let z be x(-5). Is z/(-12)*236/(-10) a composite number?
False
Let n be (0/(3/(-3)))/(-1). Suppose -5*p + 2 + 18 = n. Is p/(-8)*(-356)/2 a prime number?
True
Let g = -54 + 137. Is g a prime number?
True
Let h(y) = y**2 - 6*y + 80. Let w(m) = -m**2 + 5*m - 81. Let r(j) = -4*h(j) - 5*w(j). Let k be (-2 - (-1 - -2)) + 3. Is r(k) a composite number?
True
Let s be (24/2)/((-8)/(-4)). Suppose 0 = 2*u - s*u + 24. Is u prime?
False
Suppose -z + 2 + 3 = 0. Suppose 5*u - 213 + 38 = -z*m, 140 = 4*u - m. Is u a composite number?
True
Let l be (68/(-5))/(3/(-15)). Suppose 0*b - l = 2*b. Let a = b - -53. Is a composite?
False
Let p(w) = -2 + 2*w**2 - 1 + w + w. Suppose 5*j + 50 = -5*d, 0*j = -d - 4*j - 25. Is p(d) prime?
True
Suppose 4 = -4*j - 20. Let o(a) be the second derivative of -a**3/2 + a**2/2 + 5*a. Is o(j) composite?
False
Let p(q) be the third derivative of q**4/4 - q**3/6 - 3*q**2. Let k be p(6). Let o = k - -110. Is o a prime number?
False
Suppose -8*o + 933 = 2*p - 3*o, -4*p = 3*o - 1873. Is p a composite number?
True
Suppose d = 3*w - 2, -8 = -5*w + 5*d + 2. Let x be (-2 + w)*(-6)/(-12). Is (-2)/(x + (-105)/(-111)) composite?
False
Suppose 0 = 2*w + q + 321, 0*w - 3*w - 5*q = 492. Is (-8)/(-12)*w/(-2) prime?
True
Let o = -13 - -8. Let d(v) = v**3 + 4*v**2 - 6*v + 1. Is d(o) prime?
False
Let v(s) = 52*s**3 + 2*s**2 - 1. Suppose -2*t = -4*u - 2, t + 2*u + 0 = 1. Is v(t) composite?
False
Let t(f) = 2*f**3 + 3*f**2 - 6*f - 2. Is t(5) composite?
False
Suppose -5*s + 312 = -0*z - 3*z, s - 2*z = 68. Suppose -s = -d - 14. Suppose 5*x + 3*q - d = 0, -3*q = 3*x - 38 + 14. Is x composite?
False
Is 8352 + (-4)/6*(-24)/16 composite?
False
Let c(r) = 67*r**2 - 3*r - 7. Let b(u) = -33*u**2 + u + 3. Let m(s) = 7*b(s) + 4*c(s). Is m(-3) composite?
True
Let x = 5265 - 2806. Is x a composite number?
False
Let a(c) = -c**3 - c**2 + 10. Let h be a(0). Let l = -19 + h. Let t = -6 - l. Is t a prime number?
True
Let q(s) = -s**2 - 14*s - 8. Let r be q(-14). Let d = r + 15. Is d a prime number?
True
Is 4/7 + 195507/91 composite?
True
Suppose -j = -4*k + 5, -3*j + 4*k - 2*k = -5. Suppose j*l + 7*c = 3*c + 26, -c + 9 = l. Suppose 0 = -3*b + l + 11. Is b prime?
True
Let p be 3/(-2)*(-6)/9. Let y(c) = 61*c + 1. Is y(p) composite?
True
Suppose 4*j + b - 1639 = -j, 3*b = 12. Is j composite?
True
Suppose 2*z = 2*u - 26, -2*u = -z + 3*u - 17. Let r be 2 - 4/(z/39). Let a = r - 9. Is a a composite number?
True
Is 1*-719*((-2)/1 + 1) prime?
True
Let x = 1036 - 1664. Is (x/6)/((-12)/18) composite?
False
Let o(z) be the third derivative of 37*z**6/120 + z**5/60 - z**3/6 + z**2. Suppose 2*u = 3 - 1. Is o(u) prime?
True
Let x = 155 - 96. Is x composite?
False
Suppose -3*b + 5*b + 5*q = 26, -2*b + 18 = 3*q. Is b/9 - 1108/(-6) a prime number?
False
Let p = -1 + -3. Let o(u) = -145*u + 7. Is o(p) a prime number?
True
Is (23*2)/((-8)/(-20)) a prime number?
False
Let z = -10 + 14. Suppose 177 = 5*q - z*h, 4*q + 0*h = 2*h + 144. Is q prime?
True
Let m(c) = -27*c - 3. Let o be m(-3). Suppose -566 = -4*h + o. Is h prime?
False
Suppose 2*g + 106 = 3*g - 5*b, g + b = 100. Let m = 154 - g. Is m prime?
True
Suppose 0 = -4*j - 2*j + 114. Is j prime?
True
Suppose -2*n - 16 + 184 = 0. Suppose a = -3*a + n. Is a a prime number?
False
Let v(f) = 7*f**2 - 5*f - 5. Let t be v(-6). Suppose -4 = 4*g, 2*g + t = 5*z - 0*g. Is z composite?
True
Suppose -c + 3*m + 25 = 0, -2*c + 4*m + 33 + 7 = 0. Is 4905/c - (-2)/4 prime?
True
Suppose -2*u + 3 - 1 = 0. Let v be u/(-1*(-3)/225). Is v/12 - 12/(-16) prime?
True
Suppose 5*n + g = -2, -g = -0*n + n - 2. Is 2177/14 - n/(-2) a prime number?
False
Let v = 7 + -3. Let w(b) = 5 - 2*b + 5*b**2 - 2*b - b. Is w(v) prime?
False
Let l(i) be the third derivative of -i**4/12 + i**3 - 2*i**2. Let h be l(-6). Suppose 4*a - 44 = 3*n + 35, -a - n = -h. Is a a prime number?
True
Let o = -15 - -31. Let g(d) = 41*d - 12. Let y be g(10). Is y/8 - 12/o a composite number?
True
Let t(d) = d**2 + 10. Is t(-7) a composite number?
False
Let j be -3*5/3*1. Let i = -5 - j. Suppose i = -b + 13. Is b a composite number?
False
Let y(m) = m**2 + m - 10. Let b be y(7). Suppose 4*k = b - 10. Is k a prime number?
False
Let s(n) = -2*n - 3. Let a be s(-3). Suppose 0*c - a*c + 363 = 0. Is c composite?
True
Suppose -c = 3*t - t - 3, -t = -5*c + 15. Is (-7 + 96)/(t - -1) a composite number?
False
Suppose 0*o + 56 = -4*o. Let f(l) = l**3 + 15*l**2 + 5*l + 1. Is f(o) prime?
True
Let d be 288/56 - 2/14. Suppose s - 2*s + 135 = 2*t, 3*t - d*s = 196. Is t a prime number?
True
Let h(i) be the first derivative of -i**5/60 + 5*i**4/8 - 7*i**3/6 + 2*i**2 + 1. Let v(x) be the second derivative of h(x). Is v(6) composite?
False
Let j(c) = 2*c + 2*c**2 + 2*c + 3 - 1 - 7*c**3. Is j(-2) a composite number?
True
Let a = 77 - 55. Let t = -10 - 3. Let r = a - t. Is r a composite number?
True
Let d(l) be the second derivative of 1/2*l**2 - l**3 + 2*l + 0. Is d(-2) composite?
False
Suppose 2*c + 3 - 7 = 0. Suppose -c*q + 0*q + 254 = 0. Is q a composite number?
False
Let d(z) be the third derivative of 3/8*z**4 + 0*z + 0 + 2*z**2 + 1/3*z**3 + 1/30*z**5. Is d(-7) prime?
True
Suppose -2*p + 276 = 2*p. Is p/2*4/6 prime?
True
Suppose -3328 + 572 = -4*v. Is v a prime number?
False
Suppose 6*u - 3653 + 455 = 0. Is u composite?
True
Suppose 2*s + 32 = 4*s. Suppose 0 = -0*g - 4*g + 12. Suppose -5 = -g*l + s. Is l a prime number?
True
Let z(j) = -75*j + 3 + 6 - 37*j. Is z(-8) composite?
True
Let n be -1*(2 - 15/3). Let s(f) = 10*f**2 + 3. Is s(n) composite?
True
Suppose 4*l + 8 = 0, 289 - 926 = -3*y + 5*l. Is y a composite number?
True
Suppose 56 = -3*f + 296. Suppose 0 = v + 2*z - 45, -2*v + 5*z = -v - f. Is v a prime number?
False
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
s the thousands digit of 23879?
3
What is the tens digit of 4226?
2
What is the hundreds digit of 2422?
4
What is the tens digit of 1416?
1
What is the units digit of 3694?
4
What is the units digit of 736?
6
What is the hundred thousands digit of 126207?
1
What is the thousands digit of 2208?
2
What is the thousands digit of 6304?
6
What is the hundreds digit of 303?
3
What is the thousands digit of 135409?
5
What is the tens digit of 714?
1
What is the hundreds digit of 7039?
0
What is the hundreds digit of 2555?
5
What is the thousands digit of 1064?
1
What is the hundreds digit of 141235?
2
What is the hundreds digit of 463?
4
What is the thousands digit of 12942?
2
What is the units digit of 214?
4
What is the thousands digit of 30296?
0
What is the tens digit of 156368?
6
What is the thousands digit of 12318?
2
What is the thousands digit of 1636?
1
What is the hundreds digit of 2649?
6
What is the tens digit of 2763?
6
What is the units digit of 122582?
2
What is the tens digit of 1498?
9
What is the hundreds digit of 56776?
7
What is the ten thousands digit of 26953?
2
What is the ten thousands digit of 13536?
1
What is the units digit of 406?
6
What is the hundreds digit of 12460?
4
What is the hundreds digit of 8070?
0
What is the units digit of 93634?
4
What is the thousands digit of 17335?
7
What is the units digit of 291?
1
What is the tens digit of 10156?
5
What is the thousands digit of 22961?
2
What is the tens digit of 18464?
6
What is the tens digit of 1189?
8
What is the units digit of 2891?
1
What is the thousands digit of 1224?
1
What is the tens digit of 5522?
2
What is the tens digit of 47063?
6
What is the units digit of 9721?
1
What is the ten thousands digit of 97823?
9
What is the thousands digit of 1107?
1
What is the units digit of 10936?
6
What is the thousands digit of 1847?
1
What is the ten thousands digit of 34750?
3
What is the thousands digit of 14109?
4
What is the thousands digit of 15252?
5
What is the ten thousands digit of 30991?
3
What is the hundreds digit of 3597?
5
What is the hundreds digit of 1867?
8
What is the hundreds digit of 63302?
3
What is the hundreds digit of 347?
3
What is the tens digit of 48559?
5
What is the hundreds digit of 14788?
7
What is the tens digit of 6079?
7
What is the thousands digit of 3777?
3
What is the hundreds digit of 1805?
8
What is the units digit of 502?
2
What is the units digit of 7349?
9
What is the units digit of 780?
0
What is the tens digit of 977?
7
What is the units digit of 39859?
9
What is the tens digit of 1549?
4
What is the hundreds digit of 2921?
9
What is the tens digit of 4022?
2
What is the ten thousands digit of 109884?
0
What is the ten thousands digit of 17380?
1
What is the units digit of 5345?
5
What is the hundreds digit of 951?
9
What is the hundreds digit of 46820?
8
What is the units digit of 2338?
8
What is the thousands digit of 14574?
4
What is the hundreds digit of 22907?
9
What is the units digit of 3810?
0
What is the units digit of 24229?
9
What is the ten thousands digit of 88276?
8
What is the ten thousands digit of 147493?
4
What is the units digit of 4211?
1
What is the tens digit of 514?
1
What is the tens digit of 3668?
6
What is the tens digit of 19851?
5
What is the ten thousands digit of 74452?
7
What is the hundreds digit of 2207?
2
What is the tens digit of 71?
7
What is the units digit of 533?
3
What is the units digit of 3245?
5
What is the hundreds digit of 879?
8
What is the hundreds digit of 9446?
4
What is the thousands digit of 1928?
1
What is the thousands digit of 5488?
5
What is the units digit of 80325?
5
What is the units digit of 19658?
8
What is the units digit of 848?
8
What is the tens digit of 1071?
7
What is the units digit of 4006?
6
What is the hundreds digit of 5076?
0
What is the hundreds digit of 7216?
2
What is the hundreds digit of 632?
6
What is the units digit of 47?
7
What is the hundreds digit of 2291?
2
What is the tens digit of 215?
1
What is the tens digit of 186?
8
What is the thousands digit of 16752?
6
What is the tens digit of 78250?
5
What is the tens digit of 3888?
8
What is the thousands digit of 140232?
0
What is the units digit of 2553?
3
What is the tens digit of 1593?
9
What is the units digit of 1186?
6
What is the hundreds digit of 11973?
9
What is the hundreds digit of 12845?
8
What is the tens digit of 1542?
4
What is the tens digit of 2480?
8
What is the hundreds digit of 31738?
7
What is the ten thousands digit of 15547?
1
What is the thousands digit of 36865?
6
What is the hundreds digit of 1028?
0
What is the hundreds digit of 6079?
0
What is the tens digit of 742?
4
What is the hundred thousands digit of 103639?
1
What is the tens digit of 998?
9
What is the units digit of 97?
7
What is the thousands digit of 1296?
1
What is the tens digit of 17940?
4
What is the hundreds digit of 138186?
1
What is the hundreds digit of 42465?
4
What is the units digit of 880?
0
What is the tens digit of 85?
8
What is the thousands digit of 1831?
1
What is the units digit of 69099?
9
What is the units digit of 6816?
6
What is the tens digit of 1188?
8
What is the hundreds digit of 9044?
0
What is the tens digit of 62682?
8
What is the hundreds digit of 915?
9
What is the hundreds digit of 38525?
5
What is the ten thousands digit of 67150?
6
What is the hundreds digit of 11156?
1
What is the hundreds digit of 1779?
7
What is the hundreds digit of 1620?
6
What is the tens digit of 1689?
8
What is the tens digit of 4906?
0
What is the thousands digit of 1496?
1
What is the units digit of 437?
7
What is the hundreds digit of 31514?
5
What is the units digit of 296?
6
What is the tens digit of 15044?
4
What is the hundreds digit of 5617?
6
What is the hundreds digit of 21168?
1
What is the thousands digit of 9740?
9
What is the hundreds digit of 159?
1
What is the thousands digit of 91164?
1
What is the tens digit of 41077?
7
What is the tens digit of 7734?
3
What is the thousands digit of 5725?
5
What is the hundreds digit of 3764?
7
What is the units digit of 947?
7
What is the thousands digit of 22992?
2
What is the units digit of 30410?
0
What is the thousands digit of 4074?
4
What is the thousands digit of 22934?
2
What is the units digit of 5847?
7
What is the tens digit of 451?
5
What is the units digit of 997?
7
What is the hundreds digit of 129?
1
What is the hundreds digit of 703?
7
What is the units digit of 16619?
9
What is the thousands digit of 9007?
9
What is the tens digit of 4181?
8
What is the tens digit of 1306?
0
What is the units digit of 2057?
7
What is the tens digit of 213?
1
What is the tens digit of 202?
0
What is the thousands digit of 31087?
1
What is the tens digit of 4530?
3
What is the thousands digit of 6658?
6
What is the hundreds digit of 5462?
4
What is the hundreds digit of 41611?
6
What is the hundreds digit of 43297?
2
What is the units digit of 1692?
2
What is the hundreds digit of 699?
6
What is the hundreds digit of 16417?
4
What is the units digit of 7651?
1
What is the thousands digit of 22449?
2
What is the units digit of 2800?
0
What is the hundreds digit of 28578?
5
What is the tens digit of 477?
7
What is the hundreds digit of 4692?
6
What is the units digit of 37313?
3
What is the thousands digit of 49710?
9
What is the units digit of 72521?
1
What is the tens digit of 7344?
4
What is the units digit of 3126?
6
What is the units digit of 33133?
3
What is the ten thousands digit of 59612?
5
What is the tens digit of 24832?
3
What is the hundreds digit of 3308?
3
What is the tens digit of 1966?
6
What is the thousands digit of 1265?
1
What is the units digit of 5426?
6
What is the hundreds digit of 54842?
8
What is the tens digit of 3058?
5
What is the hundreds digit of 776?
7
What is the tens digit of 106?
0
What is the hundreds digit of 400?
4
What is the tens digit of 2146?
4
What is the units digit of 40363?
3
What is the tens digit of 624?
2
What is the ten thousands digit of 18009?
1
What is the thousands digit of 31110?
1
What is the hundreds digit of 482?
4
What is the hundreds digit of 54340?
3
What is the hundreds digit of 71291?
2
What is the ten thousands digit of 12547?
1
What is the tens digit of 35966?
6
What is the thousands
|
{
"pile_set_name": "DM Mathematics"
}
|
- f, 2*f - 339 = -v. Let n = -326 + v. Solve -12*k = -n*k + 12 for k.
-4
Let g(c) = -2*c + 3*c + c**2 + 0*c + 66 - 61. Suppose 2*a + 0*a = 0. Let y be g(a). Solve y*q = 3*q - 10 for q.
-5
Let x(y) = y**2 + 10*y - 15. Let b be x(-12). Suppose 0 = 12*p + 28 - 52. Solve -p*r + 15 = b for r.
3
Let f be (12/66)/(168/33 - 5). Suppose -14 = -t + 3*n, 4*t - 2*n = 3*n + 28. Solve f*z = -t*z - 4 for z.
-1
Let i = 159 - 461. Let k = 302 + i. Solve k = 5*t - 4*t + 11*t for t.
0
Let c(u) = -87*u + 7744. Let g be c(89). Suppose f - 2*f = t, 2*f = t - 6. Let q(b) = -b**2 + 2*b. Let r be q(t). Solve r = o + g for o.
-1
Suppose 0 = 2*r - 10, -26*r = -3*p - 21*r - 10. Suppose -4*g + 37 = -12*k + 15*k, 0 = p*k - 3*g - 23. Solve k*b + 0*b = -35 for b.
-5
Let s(l) = -l**3 + 8*l**2 + 56*l - 95. Let y be s(12). Solve 76*o - 77*o = -y for o.
1
Let o be (-3 - 7) + (-2)/2. Suppose 0 = -5*g + 31 - 111. Let t = o - g. Solve -t = -3*m - 17 for m.
-4
Let h(w) = w**2 - 139. Let c be h(-13). Let n = c - 29. Solve -3 = 2*u - n for u.
-1
Let m = 681 - 665. Suppose 0 = 3*y - 6, 3*x + y + 0*y = 8. Solve 0 = -x*z + 6 - m for z.
-5
Suppose 313*q - 315*q = 5*n - 46, 0 = 3*q + 4*n - 76. Solve -120 = q*f - 4*f for f.
-5
Suppose 0 = 5*f + 2*u - 63, -4*u = 111*f - 115*f. Solve -64 = f*s - 28 for s.
-4
Let o = -39125 + 39135. Solve -46*h - 144 = -o*h for h.
-4
Let p(s) = -s - 8. Let q be p(-10). Suppose -q*k - 3*k + 8*k = 0. Solve -1 = -o - k for o.
1
Let s(z) = 8*z**2 - 30*z - 27. Let i be s(6). Solve -12*f + i = 15*f for f.
3
Let f = -722 + 726. Let p be (-5 - -10) + -1 - f/(-2). Solve 0 = -7*k + p*k - 3 for k.
-3
Let t(g) = 9*g**2 + 19. Let x be t(-5). Let y = -239 + x. Solve -2*l - y = 1 for l.
-3
Let v = -106 + -61. Let o = 173 + v. Solve 4*p - 8 = o*p for p.
-4
Let u be 7*10/28*(-684)/(-15). Let k = u + -107. Solve -k*r - 6 = 1 for r.
-1
Suppose 0 = 4*l - 12, -4*i + i - 4*l + 444 = 0. Let k = 152 - i. Solve 0 = -k*b + 4*b + 16 for b.
4
Let g be 66/4*(36/27)/2. Let m be (-3)/2*(-112)/6. Suppose m = g*f - 5. Solve 2*p - f = -1 for p.
1
Let s be ((-3)/(-3))/((-3)/(-228)) - -1. Let b = 86 - s. Solve -7*l + b*l = 10 for l.
5
Let f be (20 - (25 - 2)) + 7. Solve 50 = -f*d + 38 for d.
-3
Let z = -10825 + 10875. Solve 0 = -6*k - z + 68 for k.
3
Let r be 110/240*6 - (-6)/(-8). Suppose 51 - 74 = -5*h + 4*x, 12 = r*h - 3*x. Solve 0*t = -2*t + h*t for t.
0
Suppose 25*c + 9*c - 1263 + 141 = 0. Solve 0 = 55*b - c*b for b.
0
Let h(y) = -y**2 - 30*y + 678. Let q be h(15). Let o = -15 + 21. Solve -q*v + 12 = o for v.
2
Suppose -8*t + 126 = -42. Suppose 4*c - 15 = t. Solve -c*y = -5*y for y.
0
Suppose -5*c + 8*c - 12 = 0. Let z be -4 + (0 - (-32)/c). Suppose -2*t = -4*v + 38, -2*t - 4 = -v + z. Solve i = -i + v for i.
5
Let y(x) = 17*x**2 + 2*x. Let o be 4/26 + (15/(-13))/1. Let c be y(o). Let g be (-2)/c - 6*(-76)/45. Solve -a - a = g for a.
-5
Let h = 4 - 8. Let s be 57*h/72*-6. Solve -20*t + s*t - 3 = 0 for t.
-3
Let o be (((-60)/(-4) - 7) + -8)/(36/6). Let l(w) = w**3 + 6*w**2 + 3*w. Let y be l(-5). Suppose 4*v - 8 = k + y, -5*k = 3*v - 25. Solve o*j = v*j for j.
0
Let x(y) = -y**3 - 20*y**2 - 21*y - 33. Let r = -588 - -569. Let d be x(r). Solve -d*c - 4 = 1 for c.
-1
Suppose -99*x = -71*x - 28. Let g(j) = 4*j - 4. Let i be g(x). Solve -4*q - 26 + 6 = i for q.
-5
Let r(s) = -4*s**2 + 4. Let l be r(-4). Suppose -2*b - b = 165. Let g = b - l. Solve -g*d + 0*d = -15 for d.
3
Let d be ((-123)/(-82))/((-3)/(-56)). Let k(l) = l**3 - 26*l**2 - 57*l + 31. Let f be k(d). Solve f*w = -17 + 2 for w.
-5
Suppose 117 = -5*j - 5*i - 2828, i - 589 = j. Let p = j + 591. Solve -5 + 9 = -p*l for l.
-2
Suppose -q + 9 = -7. Suppose q*d = 20 + 60. Let f = 0 + 0. Solve f - 10 = -d*u for u.
2
Let g = -3083 - -3087. Suppose -15 + 8 = -k. Solve -g + k = -i for i.
-3
Let f(b) = 6*b - 163 + 163. Let c be f(2). Suppose -c - 3 = -5*j + 3*x, -2*j = -3*x - 6. Solve -j = 2*t - 1 for t.
-1
Suppose 0 = 2*m + a + 7, 5*a + 397 - 318 = m. Let o = 0 + 3. Solve -3*y = -m*y - o for y.
-3
Let w(g) = g**2 + 23*g + 14. Let c be w(20). Let v = c - 866. Solve -2*d - v + 2 = 0 for d.
-3
Let j = -20 - -20. Suppose j = 5*r - 6*r + 33. Let c be r/7 + (-10)/(-35). Solve 0*u - c = u for u.
-5
Let w(o) = 27*o. Let c be w(-1). Let h = 2296 + -2266. Let j = c + h. Solve -g - j*g = 0 for g.
0
Let l(m) = -m**3 + 4*m**2 + 15*m - 60. Let v be l(4). Suppose r = 3*r - 10. Suppose r*s - 18 = -2*a, 5*s - s + a = 12. Solve s*p + 3*p = v for p.
0
Let s(u) = -2*u**2 - 113*u - 816. Let d be s(-38). Solve -d*t = -598*t + 16 for t.
2
Let b(i) = 2*i**2 - 276*i + 2596. Let r be b(128). Solve -60 = -26*m + r*m for m.
-6
Suppose 3*u - 78 = -3*u. Suppose -u*r + 35 = -8*r. Solve 5*q - 8 = r for q.
3
Let a be 21904/68 - 8/68. Let h = 330 - a. Solve 6*i - 8*i - h = 0 for i.
-4
Let r = 158 + -159. Let a be (8/(-32))/(r/20). Solve 1 - a = k for k.
-4
Suppose 49 - 35 = 14*p. Solve 7 = 8*r - p for r.
1
Let x be 28/(2 + 0) + 0. Suppose -3246 = -164*d - 356 - 266. Solve -d = x*c - 6*c for c.
-2
Let i be ((-4)/(-5))/((-4)/(-50)). Suppose i*n - 23 = 117. Let d = -14 + n. Solve s + d = -4 for s.
-4
Let w(t) = -8*t**3 + t**2 + 11*t + 14. Let u be w(-3). Let q = u + -197. Solve 3*i - 3 = -q for i.
-2
Let y = 2026 - 2013. Solve -17*v = -4*v + y for v.
-1
Let r = 572 + -564. Solve 470 = -r*z + 422 for z.
-6
Suppose 17*x + 118 - 156 = 591. Solve -1 + x = -12*y for y.
-3
Let m be 6 - (0 + (-2)/(-1)). Let d be (2 + -2)/(m/(-2)). Suppose 6*k - 2200 = -104*k. Solve -3*z - 2*z - k = d for z.
-4
Suppose -2*p + 434 - 394 = 4*y, 0 = 4*y - 8. Solve -p + 16 = -7*z for z.
0
Let p be 11/((-132)/832) + (-4)/6. Let r = p + 73. Let m = -4 + 10. Solve r*l = -0*l + m for l.
2
Let y be (-1 - 28/(-20))/((-1)/40). Let n = y - -25. Suppose 0*k = n*k. Solve c = -k*c for c.
0
Suppose -y = 16*y - 2805 + 442. Solve -11*w + y = 205 for w.
-6
Let b(z) be the first derivative of z**2 - 10*z - 502. Let y(g) = g**3 + 5*g**2 + 4*g. Let o be y(-3). Let x be b(o). Solve 0 = -x*n + n for n.
0
Let y(d) = d**3 + 15*d**2 + 14*d + 39. Let r be y(-14). Solve -r*v + 49*v = -20 for v.
-2
Let u = 196 + -187. Suppose u*g - 23*g = -42. Solve -2*h = -g*h - 1 for h.
-1
Let i = -251 - -236. Let p be (-22)/(-2) + i + 16. Solve 6*v - p - 18 = 0 for v.
5
Suppose 2*l = -5*l - 735. Let a be ((-20)/3)/((-28)/462). Let g = a + l. Solve p + 1 = g for p.
4
Suppose -3*n = 18, h + 5*n + 0 = -18. Solve -h*a - 37 = -25 for a.
-1
Let l(u) = -u**3 - u**2 + 10*u - 4. Let n be l(-4). Suppose k - n*x = 3, -k - 4*k + x = -15. Solve -4*j + j = -k for j.
1
Let s(k) = -2*k + 38. Let d = -573 - -585. Let r be s(d). Solve -r = 5*p - 4 for p.
-2
Let m(o) = -24*o**2 - 15*o + 12. Let k(l) = 9*l**2 + 5*l - 4. Let t(g) = 17*k(g) + 6*m(g). Let q be t(1). Solve q*v = 13*v for v.
0
Suppose 0 = -3*g - m + 54, 6*g + 3*m - 139 = -37. Solve -2*z = g*z + 44 for z.
-2
Suppose 220 = -5*t + 375. Suppose -36 = -y - t. Solve -y*x = -1 + 16 for x.
-3
Suppose 5*n = 5*w + 15, -5*n - 25 = w + 4*w. Let y be (-2 - n)*(-11 + -1). Suppose 17 + 7 = y*r. Solve r*g + 4 + 4 = 0 for g.
-4
Let x(o) = o**2 - 73 + 22*o + 60 - 7*o. Let j be x(-16). Suppose y - 4*t = 19, 0*y - j*t = -2*y + 28. Solve 0 = c - y + 6 for c.
5
Suppose 16*p - 18*p = 0. Suppose -2*z + b + 59 = -0*z, 3*b = 4*z - 119. Solve p = -26*j + z*j - 6 for j.
2
Suppose 2*b + 28*b - 5*b - 6050 = 0. Solve 22 = 55*o + b for o.
-4
Let p(k) = k**3 + 47*k**2 + 242*k + 5. Let s be p(-6). Solve -20 = -9*n + s*n for n.
-1
Let o(n) = n**3 + 9*n**2 + 41*n + 271. Let l be o(-8). Solve l*h = 19*h for h.
0
Let l be (-3 - 28/(-8))/(4/728). Let o be (-4)/7 - (-52)/l. Solve o = 4*d - 0 - 8 for d.
2
Let v(o) = -o + 8. Let b be v(4). Suppose 5 = a - 2*t, 0*a + 5*a = b*t + 19. Suppose a*w - 16 = -7. Solve 3*i = -0*i + w for i.
1
Let n be (-875)/(-21)*12/20. Let y be 1*(21/1 - -2). Solve 0 = y*j - n*j for j.
0
Let g = -27519 - -27542. Solve -150 = -g*m - 7*m for m.
5
Let v = 1080 - 613. Let u = -463 + v. Solve 7 = u*n - 9 for n.
4
Suppose 0 = 890*l - 830*l. Solve -101*m - 113 - 190 = l for m.
-3
Suppose 0 = -2*c + x + 184, 3*x = 12*c - 17*c + 449. Solve -c - 221 = 52*f for f.
-6
Let s(m) = -m**3 - 10*m**2 - 2*m - 15. Let z(o) = o**2 + 8*o - 14. Let n be z(3). Let g be n/(-2) - 16/32. Let t be s(g). Solve -t*l + 4*l - 1 = 0 for l.
-1
Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-20125))/64*10).
115
Calculate ((144/16)/36)/(11/(-1672)).
-38
What is the value of ((-339328)/3856)/(77/(-2))?
16/7
What is -42*128/(-2016)*2*-9*1?
-48
Calculate (15/(-2))/((-1410)/188).
1
Calculate 14/(-6)*(43560/(-2002))/66.
10/13
What is the value of ((-608)/380*90/24)/(-6*(-20)/16)?
-4/5
Calculate ((-12)/(-22))/((-825)/55*(-20)/(-20)).
-2/55
What is (-205)/(-27306)*(-228)/95?
-2/111
What is (88/10)/((-12)/20*(-92)/(-276))?
-44
Evaluate (((-14175)/(-135))/(-210))/(((-154)/20)/11).
5/7
Evaluate ((-49)/(-84))/((-6)/56*(-525)/(-150)).
-14/9
Calculate (-52)/6*((-11)/(-4))/((-19)/(2850/(-275))).
-13
Evaluate (1836/(-15912))/(((-81)/(-30))/(-9)).
5/13
Evaluate 2/(-2)*(-726)/7128*18.
11/6
Calculate (2*-2)/(50/45).
-18/5
Calculate (1980/(-360))/((-6)/672*-8).
-77
(4*((-6)/28)/(132/154))/((-13)/286)
22
Calculate 644930/31980*6/44.
11/4
What is the value of (((-2)/(-6))/(9/(-657)))/(21/(-882)*-14)?
-73
What is the value of (32/5)/((-678)/565)*(30/88)/1?
-20/11
What is the value of ((-5016)/1386)/(-2*13/273)?
38
Evaluate (-39)/(39975/164)*9/18.
-2/25
What is the value of ((-232)/1566*(-30)/(-8))/((-5)/(-34))?
-34/9
Calculate 720/(-132)*(-80)/(-10)*(-3)/(-48).
-30/11
Calculate (-36)/(-600)*234600/612.
23
Calculate (-3)/72*(1/(64/(-48)))/(-1).
-1/32
(-176)/((-3272192)/2800)*(-8)/(-50)
2/83
What is the value of 55/(6*51/136*30/54)?
44
Calculate 2/90*6*75852/(-1176).
-43/5
What is (-166)/1411*(-8)/24?
2/51
What is 100/(-45)*9/(-195)*16/896*14?
1/39
((-15)/6)/((366/(-21))/((-720)/3150))
-2/61
What is the value of ((50112/29)/24)/(-1)?
-72
What is the value of (-16)/104*6936/(-289)?
48/13
Evaluate 80/32*(-348)/2755.
-6/19
Calculate ((-31)/(-465))/(7/126)*(-12)/(-18)*-100.
-80
Calculate ((-34)/((-3740)/(-66)))/(((-4185)/(-105))/((-10)/(-7))).
-2/93
What is the value of (21/(-42))/(41/(-3198))?
39
Evaluate (3572/(-57))/((1080/81)/20).
-94
What is the value of (143/20449)/(6/(-26))?
-1/33
Calculate (24/16)/((-3*(-116)/(-360))/((-46)/207)).
10/29
What is ((-5160)/80)/(81/54)?
-43
Evaluate 20/640*84*(-5)/(-15).
7/8
-90*(-77)/((-13090)/85)
-45
What is the value of (((-70)/4)/(-7))/(371*(-40)/(-224))?
2/53
What is the value of ((-78)/9)/((-12235)/7341)?
26/5
Evaluate ((-58320)/(-45))/(-81)*4/(-152).
8/19
What is ((-48)/160)/(-3)*-36?
-18/5
Evaluate (-19)/57*3*23/23.
-1
What is the value of ((-2)/6)/((-10285)/5610*(-5)/(-4785)*-3)?
-58
What is the value of (((-700)/(-2610))/35)/((-2)/9*(-24)/4)?
1/174
Evaluate 27*2/(-4)*32788/10539.
-42
Calculate ((4/(-3))/(-4))/(((-1292)/16932)/(-19)).
83
What is -6*36/15795*13*10?
-16/9
-176*(6/9)/(648/(-243))
44
53568/1064664*3/20
2/265
What is the value of 75/1125*-84*(-160)/(-28)?
-32
(-2)/(-2)*2/(-2)*1*50236/(-2644)
19
What is the value of ((-495)/(-135))/(8*(-7)/(-672))?
44
Evaluate 8*612/544*(-1)/33.
-3/11
Evaluate (2/8)/(1152/384).
1/12
What is the value of -4*(429/169)/((-1512)/(-18018))?
-121
What is the value of (273/6825*55/(-22))/((-2)/(-284))?
-71/5
Evaluate ((25/225)/((-39)/36))/(2/6).
-4/13
What is ((-177)/(-16048)*-17)/(((-64)/(-8))/96)?
-9/4
What is ((-35916)/(-15330))/((-4)/(-70))?
41
((-15300)/(-20655))/((-3)/(-54))
40/3
What is the value of (15/7)/(598*(-110)/(-14168))?
6/13
What is 34/2*(-5)/((-90)/(-16))*(-283)/(-1132)?
-34/9
(-4)/(-10)*(-15)/(-12)*2698/(-93081)
-1/69
What is the value of (270/(-1836))/((-130)/(-52))?
-1/17
Calculate 146188/(-407238)*36/14.
-12/13
What is the value of (2/(-16))/((((-1989)/(-156))/(-51))/4)?
2
Calculate ((-4954)/(-4954))/((-2)/86).
-43
What is 11/11*2/(46/1)*202/202?
1/23
What is (2827/214852)/(1/(-2))?
-1/38
What is the value of (8*10/400)/(3/1050*14)?
5
What is ((-4)/(-6))/(1790/(-2685))*62?
-62
Calculate ((13/13)/(1/((-1)/1)))/((-9579)/1854).
6/31
(-5)/((-160)/576*(-120)/(-20))
3
What is (-158)/(-3713)*141*(-19)/(-1)?
114
What is the value of 46/9775*25*(-697)/(-2993)?
2/73
What is (30/12)/(((-18)/(-24))/(12/20))?
2
What is the value of (-162)/150*(-29450)/4712?
27/4
(-35)/10*50/(-35)
5
Calculate 456/1596*4/1220*-35.
-2/61
Evaluate (((-72)/28)/9)/((-162)/3528*-7).
-8/9
Evaluate (-34)/(-5)*(14/28*40)/(-4).
-34
Calculate 4/56*8464/(-1058).
-4/7
What is ((-415)/(-4731)*57)/((-1)/(-4)*-5)?
-4
What is (264/120)/((-616)/105)?
-3/8
What is the value of (120/10*((-85)/(-50))/(-17))/((-147)/14)?
4/35
What is the value of ((2/(-3))/(72/(-54)))/(12/(-48))?
-2
What is the value of (-176)/55*9*(-110)/396?
8
What is ((-358)/1969)/((-9)/(-66))?
-4/3
What is -63*(-82)/369*11/((-77)/(-18))?
36
Calculate ((2/18)/((-135)/(-6075)))/((-25)/330).
-66
Evaluate ((-210)/(-9))/5*1475/(-590)*24/20.
-14
What is the value of (-5)/(-55)*66/12*(60/1705)/(-3)?
-2/341
Evaluate 3/6*-20*63/231*11.
-30
Calculate 392/(-686)*(-1*4)/(4/(-140)*-5).
16
What is (((-32)/(-210))/((264/24)/154))/((-6)/(-9))?
16/5
Calculate 0*(5893/(-142))/(-83).
0
What is 16/(-25)*390/468*3?
-8/5
Calculate 110/(-11)*41/(7380/(-24)).
4/3
Calculate ((-192)/(-54))/(-8)*(-31)/124.
1/9
What is the value of (1/(276/15))/(((-195615)/(-648))/161)?
2/69
What is ((-112)/(14784/(-297)))/(2/(-16))?
-18
Calculate 6*(-7)/420*-5*-2.
-1
Evaluate ((-13)/(65/2))/(56/196).
-7/5
Calculate -9*4/(-30)*((-2950)/(-944))/((-35)/(-308)).
33
Evaluate (44455/9937)/((-2)/38).
-85
Evaluate (((4/(-14))/((-1338)/(-1561)))/3)/((-2)/112).
56/9
What is the value of 23112/(-11235)*25*1/((-3)/6*15)?
48/7
Evaluate ((-124)/(-279))/((-41)/(-369)).
4
Evaluate (((-28500)/(-1375))/(-57))/(((-48)/(-22))/4).
-2/3
What is the value of -4*6/(-40)*((-950)/(-418))/(24/11)?
5/8
Calculate (6/8)/(36/(-1056))*2.
-44
Evaluate ((-748)/(-110))/(160/100)*-8.
-34
(-8)/(-12)*((-14400)/140)/30
-16/7
(-7*(50/(15/(-3)))/(-1))/(2/1)
-35
779/(-123)*(-18)/6
19
What is (-990)/(-30)*(-29)/(-638)*12*3?
54
Calculate 6/46*15906/(-7953).
-6/23
((-68)/(-10))/((-716635)/16862)
-4/25
Calculate (-92)/((-1416984)/(-153))*8/(-6).
2/151
Calculate ((-71)/((-426)/(-30)))/(90/(-4)).
2/9
What is the value of ((-9)/100)/(1935/(-6450))?
3/10
Calculate ((-156)/(-12))/(1953/(-11718)*(2/1)/1).
-39
What is the value of ((20/(-15))/(-2))/((-7755)/(-12690))?
12/11
Evaluate ((234/(-840))/13)/(648/864).
-1/35
Evaluate (-2)/(-8)*-2*106/59731*49.
-1/23
What is the value of -29*-13*(-3886)/(-21866)?
67
What is (72/(-14))/(1444/12635)?
-45
What is the value of ((-3)/44)/(30168/18436)*-9?
3/8
Evaluate 108/21*((-22540)/23)/70.
-72
What is (-30)/162*(-1614)/(-25555)?
-2/171
What is the value of (23*-14*(-6)/1932)/7?
1/7
Calculate (1/(-1))/((-1524)/(-508)*(-2)/(-78)).
-13
(1/((-10)/(-4)))/(5643/(-855))
-2/33
What is the value of (6*14/(-126)*(-30)/(-10))/((-82)/(-3))?
-3/41
What is the value of (-102)/(-357)*14/72*(-378)/18?
-7/6
5/1*-3*72/24*(-36)/486
10/3
Calculate (-13*4/364*4)/(8/(-644)).
46
What is the value of ((-884)/3)/((-59194)/10446)?
52
What is the value of 135/(-10)*(-17)/136*-16*(-10)/15?
18
What is ((-8)/80*5)/(1/(-14*(-6)/2373))?
-2/113
(20/(-48))/(360/(-62496)*-62)
-7/6
2/(40/(-1008)*3*24/30)
-21
What is (-11*309/26059)/3?
-1/23
What is the value of ((-457)/10511)/(2/4*-1)?
2/23
What is the value of ((-6)/31)/((61/((-8723)/66))/((-2)/13))?
-2/31
What is -7*((-240)/140)/(33/(-55))?
-20
What is 525*(-76)/(-45600)*-40?
-35
Evaluate (4/(-36)*1395/62)/(1/14).
-35
Calculate (4/8)/(((-4)/(-5))/(4928/280)).
11
What is (147/6)/(3052/2616)?
21
(400/240)/(60/(-864))
-24
Evaluate 2/12*1*((-255)/(-5))/(-153)*1.
-1/18
What is -1*5/(-198)*(-2288)/2860*6?
-4/33
((-1)/4)/(119/102)
-3/14
What is (54/4)/(((-12)/(-408))/((-36)/22950*-25))?
18
What is (-22)/((-2)/(-6*19/456))?
-11/4
645/(-70)*(-3766)/(-807)
-43
What is the value of (-4*(-15)/80)/((-4)/((-4928)/21))?
44
What is the value of (-7)/(-40)*468/(-1638)*-1?
1/20
Calculate 13632/(-1917)*18/4.
-32
((-30)/(-45))/((-2)/(-1))*2436/(-28)
-29
-53*(-130)/(-6890)*(-3)/11
3/11
What is (190/6840)/(1/252)?
7
Calculate (1696/(-530))/((-24)/20).
8/3
Calculate (-4)/(-22)*2533905/10238.
45
Calculate (8/50)/((-117)/105300*40).
-18/5
((-2835)/672)/15*(114/76)/(6/(-16))
9/8
Evaluate 18/((11*(-18)/(-693))/((-3)/((-210)/(-40)))).
-36
Calculate (-3)/(11*(-1)/3256*-24).
-37
Calculate (-1)/(-15)*(68/85)/(44/(-165)).
-1/5
Calculate (12/(-208)*(-10)/(-5))/((-21)/(-112)).
-8/13
(-27)/6*(-46)/(-483)*-84
36
What is ((4085/(-76))/(-43))/((-25)/(-5))*(-36)/(-21)?
3/7
What is the value of 15*(-19)/190
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let y(w) = -w + 2. Let g be y(c). Solve -4*z + 10 - 32 = 5*x, x + g*z = -14 for x.
-2
Let x = 73 + -38. Solve 2*l + 18 = 4*t, -3*t + 5*l + x = 11 for t.
3
Let n(s) = 2*s - 3. Let z be n(8). Solve 2*b - 5*a = 16 + z, -4*b = 3*a + 7 for b.
2
Let z(g) = -2*g + 10. Let u be z(5). Solve -4 = i - u, 5*h + 4*i = -16 for h.
0
Let f(w) = w**3 - 10*w**2 - 37*w - 23. Let i be f(13). Solve 4*d - 2 = 2*g + 2, -g = i*d - 8 for d.
2
Let u be 5 - ((-7 - -1) + 7). Let p(f) = -3*f**3 + f**2 + 2*f + 1. Let s be p(-1). Solve s*y + 5*n = -y + 8, u*n = 0 for y.
2
Let u(d) = -d**2 - 7*d - 6. Let n be u(-6). Let f = -4 - 0. Let t = n - f. Solve -4*q + 2*q + 16 = 2*m, -3*q + 27 = t*m for q.
5
Suppose 4*h = 2*h - 2*c + 14, 5*c = -2*h + 29. Solve 6 = k + 3*d, 3*d = h + 1 for k.
3
Let h(r) = -r**3 - r**2 + 3. Let k be h(0). Let x be 2/k*99/3. Solve 4*m - 5*m = -5*v + x, 5*m - 15 = 0 for v.
5
Let r be 3/(24/28 - 1). Let v = 23 + r. Solve 3*u - 21 = 2*z, v*z + 23 = 4*u + z for u.
5
Suppose -2*b = -11 + 3. Let s(d) = 10*d**2 + 2*d - b*d + d. Let j be s(-1). Solve -3*y + r - j = -r, -4*y + 4*r = 16 for y.
-3
Suppose 14 = 8*y - 34. Solve y = 3*s - 0, -18 = -3*n - 3*s for n.
4
Let l be ((-3)/(-2))/((-1)/(-2)). Let q(v) = -2*v - 25. Let c be q(-15). Solve -c*s = x + 7, -5*x - 6 = -s - l*s for x.
-2
Suppose 4*f + 20 = 4. Let a be 2/(-8) - 9/f. Solve 0 = a*u + 2*l, -3 = -u + 5*u + 5*l for u.
3
Suppose -4*d - 1 = -21. Let p be (-32)/(-12) - 4/6. Suppose -p*k - 2*k + 40 = 0. Solve -z - 2*r + 11 - 1 = 0, -d*z + 2*r - k = 0 for z.
0
Suppose 0 = 2*d + 4, 2*f - 2*d + 7*d = 0. Solve 0 = f*z - 4*c - 3 - 5, -2*z - c = -11 for z.
4
Suppose -4*n - 5*w = n - 115, 0 = 4*n + w - 98. Let x(v) = -5*v - 1. Let t be x(-1). Solve t*u = l + 5, 3*u - n = 5*l - 2*u for l.
-5
Let d be (-6 - -1)*12/(-15). Solve -d*p + 5 - 2 = -5*o, -2*o - 8 = -5*p for o.
1
Let u = -8 + 12. Solve -r - 3*r - u*f = 0, f + 9 = 2*r for r.
3
Let r = -8 + 16. Suppose -3*k = 3*p + 6, -3*k + 3*p = 16 + 14. Let m = r + k. Solve -5*s - 4 = n, 5*s + 5*n + 12 = m*n for s.
0
Suppose -6*y + 7*y + 45 = 0. Let k be 4/18 + (-215)/y. Solve -d = 3*r - 0 + 2, -k*d + 2*r - 10 = 0 for d.
-2
Let y(p) = 3 - 2*p - 4*p**3 + 0 + 5*p**3 - 2*p**2. Let b be y(3). Solve 2*s + 2*s - 2*c = b, 2*s - 28 = -4*c for s.
4
Let h = 22 - 12. Suppose -h = g - 3*g. Let x be (3/2)/((-3)/(-40)). Solve g*y + 3*l + 24 = 6, x = -5*y - 5*l for y.
-3
Suppose -4*h + 61 = 5*t, 33 = h + h + 3*t. Let f(n) = 11*n - 6 - n**2 - 3 - 4. Let j be f(h). Solve -4*l = 4*y + 16, 3*y - 14 = j*y - 4*l for y.
-5
Let j = 6 - 6. Suppose -2*u + u - 13 = 3*z, -2 = -u. Let o be (-4)/10 + (-12)/z. Solve -2 = -o*q + 2*f, 2*q = -j*q - f - 10 for q.
-3
Suppose -2*h - 15 = -7*h. Let z be (0 - 1)*-3 + -1. Suppose 0 = g + z*g. Solve 3*v + 2*r + r + 12 = g, 2*r = h*v - 3 for v.
-1
Let m be (-2)/(-2*(-3)/(-12)). Suppose -x = -m + 2. Solve -4*k + 5*v - x - 1 = 0, -v = 3*k - 12 for k.
3
Suppose -4*w + 0*a + 4*a + 24 = 0, 5*a + 21 = -4*w. Let n = w - 2. Let o be (-2 - n)*(-10 + -6). Solve -2*m = -4*c - o, 0 - 14 = -c - 4*m for c.
-2
Suppose 4*y - 27 = 5*w, -3*w + 4 = -2*y + 15. Solve 0 = 2*l - 3*d - 16, l + y = 2*l - 4*d for l.
5
Let g = 39 - 77. Let m = g - -68. Solve -4*u + 2*v = 4*v - m, 2*u - 5*v = -15 for u.
5
Let t(q) = q**2 + 7*q - 9. Let m be t(-9). Let x = m + -5. Suppose -x*p + 20 = -4*y, -5*y - 2 = -p + 3. Solve -2 = -i + b, 5*b + 28 = -y*i - i for i.
-3
Let y be 1032/40 + 2/10. Solve 0*d + 6 = -r - d, -3*r = 5*d + y for r.
-2
Suppose -44 = 4*z - 72. Solve -5*m - 2*i + z = -12, m - 9 = -3*i for m.
3
Suppose -5*x + 9 = -3*m, -5*x + 32 - 7 = 5*m. Solve -2*p - 11 = -m*d + p, -p = 3 for d.
1
Let n(x) be the third derivative of x**4/24 - x**3/6 + 5*x**2. Let b be n(6). Solve -8 = 4*r + p, 3*p + 0 + 7 = b*r for r.
-1
Suppose 15 = a - 6*a. Let v(o) = o**2 - 3*o. Let q be v(a). Solve g + q = 2*h - g, -g = -5*h + 25 for h.
4
Let r be (-10)/(-45) + 980/45. Solve 0 = -a - 5*p + r, 18 = 3*a + 4*p - p for a.
2
Let x be -1*(-2 - -2 - -3). Let o(i) = -i**3 - 2*i**2 + 3*i + 4. Let d be o(x). Solve -2*l - 5*u = -d*l + 3, -5*l = -5*u for l.
-1
Let x = -8 + 11. Solve -3*w = 5*n - n, 0 = x*w - 4*n for w.
0
Let u(w) = w + 4. Let h be u(0). Suppose 0 = h*k + 10 - 2. Let t be k/(-3) + (-16)/(-12). Solve n + 6 = -3*b, -n - t*n = -5*b - 10 for b.
-2
Let a(g) = -6*g - 4. Let h be a(-3). Solve -4*n + h = -l, -2*n + 2 = l - 2 for n.
3
Suppose 5*h - y - 25 = 2*y, 3*y + 15 = 3*h. Let d(j) = j - 18. Let a be d(18). Solve a = 5*p - h*o + 10, 3*o = -2*p + 1 + 10 for p.
1
Suppose 0 = 4*p + p - 25. Suppose y - 8 - 11 = -p*j, 3*j + 3*y = 21. Solve 3*b = -3*u - 6, -4 = -4*b - j*u - 15 for b.
-5
Let j = 14 - 14. Let k be (1 - (-29)/3)*(-3)/(-2). Solve 0 = -5*c + 9 + 11, -4*s + 2*c - k = j for s.
-2
Suppose 3*p = 8 - 5. Let h(q) = -q**3 + 10*q**2 - 11*q + 22. Let m be h(9). Solve -3*k - 2*v = -23, 3*k - m*v + 0*v + p = 0 for k.
5
Let n(t) = t**2 - 2*t - 1. Let c be n(-1). Suppose 0 = c*y - 2 - 22. Solve -m - 16 = -5*b, -4*b + 2*b - y = -5*m for m.
4
Let l be ((4 - 1) + 0)*1. Solve 2*o + l*o + 10 = -5*m, -5*o + 26 = -4*m for m.
-4
Suppose 0*d + 18 = -3*d. Let n(u) = u**3 + 5*u**2 - 7*u - 1. Let p be n(d). Solve -p*w - 5*y = -5, 3*w + 5*y - 6*y - 7 = 0 for w.
2
Suppose -f - 6 = -4*f. Let o(n) = -n**2 - 5*n + 8. Let l be o(-6). Solve -4*r + f*r = -2*w + 12, 5*r + l*w = 5 for r.
-1
Let c(g) = 2*g + 12. Let n be c(-5). Solve 2*o + 16 = m - o, 0 = n*o + 8 for m.
4
Let s = 2 + 2. Solve 0 = -5*h - 4*d - s, 6*d - 20 = d for h.
-4
Suppose -d = 5*t - 85, 5*d + 7 = 3*t - 4*t. Solve -4*z = z + 5*c + 25, 3*z + t = -4*c for z.
-2
Suppose 2*z = z. Let y = 15 - 12. Solve -y*m + z*s + s - 5 = 0, 5*s = -5*m - 35 for m.
-3
Suppose -3*w = -2*b - b + 9, 0 = -5*w - b + 3. Solve -2*x + 31 = -w*x - 5*d, 0 = -x - 3*d - 12 for x.
3
Let g = -28 - -34. Solve -5*d - 3 = -g*n + 2*n, -2 = -n for d.
1
Let o(m) = m**3 - m**2 - m + 5. Let w be 0*1*(-1)/2. Let l be o(w). Let k = 8 - l. Solve -5*y - 21 = k*s, 3*s + 11 = -3*y - 4 for s.
-2
Suppose 0 = 2*d - 3*d - 5*p - 17, -d + p = -7. Suppose 2*k + 6 = 0, -3*k - 4 - 5 = q. Suppose q*l - 3*l = -9. Solve 3*j + l*y = 24, 2*j - 5*y + 20 = d*j for j.
5
Let g(d) = -d**3 + 5 - 5 - d**2 + 4 - d. Let h be g(0). Solve h*q + 5*o = -37, 2*q = q - 2*o - 13 for q.
-3
Let z(j) = -6*j - 5. Suppose 4 = 5*s + 34. Let a be z(s). Suppose -67 = -4*k + 3*d, -d - a = -2*k + 4. Solve -4*o - 30 = 6*w - w, 0 = 3*o + 2*w + k for o.
-5
Suppose 0 = 25*g - 24*g - 2. Suppose 4*v - 11 = -4*a + 3*a, 5*a = -4*v + 23. Let l = 5 - a. Solve -3 = 3*q - f - 1, -f = l*q - g for q.
0
Let c(s) = -s**3 + 4*s**2 - 5*s + 4. Let j be c(2). Solve 3*o = j*h + 3*h - 6, -o - 2 = 0 for h.
0
Let v(d) = -3*d + 9. Let g be v(2). Solve -g*s - w + 27 = -8*s, -3*s + 5*w = 25 for s.
-5
Let u be 2/(-1) + (14 - 10). Solve 9*m = -u*f + 4*m + 21, 2*f - 1 = -m for f.
-2
Suppose -2*y + 2 = 4*o, -6 = -y - 2*y - 3*o. Solve -y*z - 3*u + 0*u = 0, -5*u = 3*z - 6 for z.
-3
Let g(t) = t**2 + 2*t - 36. Let i be g(7). Solve -3*y = -9, 3*u + i = 6*y - y for u.
-4
Let r be (1 - 0)*(1 - -1). Suppose -4 = 2*t - r*c, 5*c + 4 - 30 = -3*t. Solve -t*s = 0, -g - 1 = 5*s + 2 for g.
-3
Let g be (-3)/(18/4)*-3. Suppose g*h = -3*r + 22, r - 4*h = -9*h + 29. Solve -j + 10 = -5*i, -r = -3*j + i - 2 for j.
0
Let f = -8 - -6. Let u = 6 + f. Solve -2*h - 2*h - u*v - 24 = 0, 2*h + 5*v = -27 for h.
-1
Let k(f) = -f - 2. Let o be k(-2). Solve o*g + 3*p = -g - 8, -2*p - 2 = -g for g.
-2
Let l be (6/(-9))/(2/(-72)). Let g = 48 - 15. Let t be 15/(-25) + g/5. Solve o - t*o + n + l = 0, -3*o - 4 = 4*n for o.
4
Let o be 2/8 - (-69)/12. Let q be (-14)/(-2)*4/14. Let u = o - q. Solve -5*d + j = -2, u*j = 5*d - 2*d + 9 for d.
1
Let t be (4/(-5))/(5/25). Let c be t*((1 - -1) + -3). Solve -2*r + 3*w = -14, c*w = 6 - 22 for r.
1
Let x(g) = 2*g**2 - 6*g - 5. Let u be x(-1). Solve -4*p - 14 = z, u*z = 3*p - 2 + 5 for p.
-3
Let d be ((-1)/(-2))/(2/8). Let o be (-1 + 0 + 1)/2. Suppose -d*h - 2*h = o. Solve -3*s - 6 - 6 = 0, h = -2*i + 3*s + 18 for i.
3
Suppose 8*x - 137 = 95. Solve -z = -0*z - m + 8, 0 = -3*z + 4*m - x for z.
-3
Let a = -28 + 31. Let v be 1/(a*1/36). Solve 4*h - v = 0, -2*m + 12 = 4*h - 4 for m.
2
Suppose -4*g = -5 + 1. Let m(v) = -v**3 + 3*v**2 - v + 5. Let r be m(3). Solve 0 = 2*q - 4*f - r, -q + g
|
{
"pile_set_name": "DM Mathematics"
}
|
3 and 9675656.
-2902696.8
Multiply -59 and -3221491.
190067969
Calculate -6*350516.
-2103096
-352.3 times -2009
707770.7
-959235*0.044
-42206.34
Multiply 13802 and -13030.
-179840060
82032*-2.92
-239533.44
Work out 4368 * -1967.
-8591856
Work out -3.9 * 0.614207.
-2.3954073
-0.2911103*13
-3.7844339
-15 * -1607434
24111510
What is the product of 0.5 and -37550928?
-18775464
Product of 87745 and 2110.
185141950
Work out 0.1349 * 61936.
8355.1664
Calculate -1.028426564*-0.4.
0.4113706256
9483.1 times 0.75
7112.325
-1184.7*-3.736
4426.0392
Product of -0.53101 and -7.
3.71707
2 times 77796757
155593514
Multiply 9.287 and -0.6035.
-5.6047045
Multiply 2.2 and 1743.7237.
3836.19214
Work out 87 * 6412.1.
557852.7
-22.7272 * -0.24
5.454528
470.381 times 2.1
987.8001
21.74*-0.104931
-2.28119994
What is -471 times -360218?
169662678
-29914835 times -11
329063185
What is 20025149 times -9?
-180226341
37438.739 * -0.4
-14975.4956
What is -206.0513 times -14?
2884.7182
Work out 24.42805526 * 3.
73.28416578
What is the product of 0.115387184 and -5?
-0.57693592
-6657.0573 times -1.9
12648.40887
Calculate -0.5*477797.
-238898.5
What is the product of 209.56 and 5913.8?
1239295.928
Product of 1319.9 and -0.0123.
-16.23477
What is the product of -0.39 and -646448?
252114.72
Product of 9.931 and 109.7.
1089.4307
What is 25.54326 times 476?
12158.59176
What is the product of 0.0285 and 17169?
489.3165
-0.032 times -1373.025
43.9368
Calculate -11760091*0.2.
-2352018.2
What is the product of -109222 and 82.6?
-9021737.2
Multiply 1181 and 23904.
28230624
What is 2655806 times -1?
-2655806
Calculate 68*70168.
4771424
What is 0.172 times 2225.184?
382.731648
What is the product of 125479 and 0.09?
11293.11
Work out -6.26 * 11301.
-70744.26
Calculate -0.4*-868798.
347519.2
Work out -13.532675 * -3.
40.598025
What is the product of 0.6 and 17555.532?
10533.3192
What is the product of -15786.3 and -0.1?
1578.63
Multiply -109002 and 0.9.
-98101.8
Calculate 2036*-2.6781.
-5452.6116
What is -5046.5 times -1710?
8629515
Multiply 15.1 and -48259.
-728710.9
94454 times -236
-22291144
1*351559.8
351559.8
Work out -454 * -1726.74.
783939.96
3.466*9885
34261.41
Multiply 329984.9 and -0.4.
-131993.96
-25*223752
-5593800
Product of 416910 and 146.
60868860
-357140 times 0.22
-78570.8
-2511847*-21
52748787
Multiply 2106193 and 0.26.
547610.18
What is 0.28491523 times -1?
-0.28491523
-855*92415
-79014825
What is the product of -1 and 92608658?
-92608658
Multiply 3.75 and 942.
3532.5
10.9*76721
836258.9
Work out -10093603 * -5.
50468015
What is the product of -18979 and 22712?
-431051048
1138611 * 0.158
179900.538
Work out -0.0189 * -305.22.
5.768658
Multiply 142.65703 and -0.3.
-42.797109
-0.5 times -3235.902
1617.951
Product of -2 and 1392.87014.
-2785.74028
What is the product of -0.032 and -907976?
29055.232
-0.4821 * 550
-265.155
-0.025623*26
-0.666198
Work out 0 * -1.28705851.
0
Product of -1259.7 and 4.46.
-5618.262
Product of -2.35 and -116.282.
273.2627
What is the product of 32.12095 and -0.1?
-3.212095
-42 * -6411382
269278044
Calculate -22505*7.294.
-164151.47
Multiply 216534 and 59.
12775506
Product of -0.18 and -113.7291.
20.471238
Work out 1293940 * -0.1.
-129394
Multiply -8.3 and 150.
-1245
14694 times 55.5
815517
0.0904464 times 4
0.3617856
Work out 8.8032774 * -0.2.
-1.76065548
-112 * -528277
59167024
What is -6 times -69986907?
419921442
Product of -0.08 and 1.233667.
-0.09869336
What is the product of 1 and 3173.039?
3173.039
-0.20013*-1062
212.53806
Product of 5 and -3411366.
-17056830
-751 * 119780
-89954780
1.5 * 1924.0184
2886.0276
Work out 4 * 794871.
3179484
What is the product of -0.12 and 1355443?
-162653.16
-0.5*13413022
-6706511
Calculate -1.166568*0.058.
-0.067660944
-6773.07*-0.0386
261.440502
61206 * 32
1958592
What is 2152648393 times -0.2?
-430529678.6
What is the product of -44 and 0.26848?
-11.81312
Product of 574 and 100862.
57894788
What is -220631.36 times -1?
220631.36
Product of -90 and -2085.
187650
0 times -1805222
0
0.183 * -110495
-20220.585
Product of -70661 and -467.
32998687
82039*11
902429
Product of -7178812 and -8.
57430496
Calculate -23*-0.02835426.
0.65214798
-0.5*141919528
-70959764
-515.6305*-8
4125.044
Product of 93045 and 1527.
142079715
What is the product of 2314638 and -71?
-164339298
-0.21 times 296.03
-62.1663
-0.62074486 times -2
1.24148972
-0.1*0.180359
-0.0180359
Multiply -807922 and -0.053.
42819.866
What is the product of -20.2244 and 0.8?
-16.17952
-0.16 * -3.716
0.59456
Work out 1 * 9621318.
9621318
Calculate 13293610*-42.
-558331620
-26188 times -25842
676750296
What is the product of -564 and -1.04128?
587.28192
What is 0.08 times 1220102?
97608.16
What is -2279629 times -0.4?
911851.6
What is the product of -259028 and -0.114?
29529.192
What is the product of -2.34 and -407.44?
953.4096
Product of 3079.2 and 2.9.
8929.68
Work out -22.7 * 108.03.
-2452.281
Multiply -14660 and -2594.
38028040
0.2*-285.188
-57.0376
-1109.6189 times -14
15534.6646
Calculate -32704*-0.4662.
15246.6048
Multiply 1645 and -1.27859.
-2103.28055
What is -3714 times -0.14344?
532.73616
Calculate -686*-0.22235.
152.5321
Multiply -7.53 and 0.02542.
-0.1914126
Multiply -12.6975 and 618.
-7847.055
Calculate 2*-29439.982.
-58879.964
5469863 times -0.5
-2734931.5
1261087*44
55487828
1611517 * 9
14503653
What is -29 times 3977326?
-115342454
Product of 5 and 260400258.
1302001290
Multiply -1082369106 and 2.
-2164738212
Multiply 893269 and -4.
-3573076
What is the product of 430.645 and -87?
-37466.115
What is 64365717 times 0.2?
12873143.4
Multiply 174.716 and -1.4.
-244.6024
-0.1*-808363.7
80836.37
Product of -0.04252 and 0.1101.
-0.004681452
Work out -913.6156 * 5.
-4568.078
Work out -2652986.2 * -0.1.
265298.62
-1.43 * -0.033973
0.04858139
Calculate 28359*-8.2.
-232543.8
Work out 104692 * 8.
837536
Work out 12831747 * 54.
692914338
Product of 2568.4 and -2059.
-5288335.6
2.19*-2522.04
-5523.2676
Calculate -22.19665*0.015.
-0.33294975
253.23*126.74
32094.3702
-48 * 106054
-5090592
What is the product of -90361 and 41?
-3704801
Multiply -127 and 997579.
-126692533
-5220 times 526
-2745720
Work out -134.87 * 3.397.
-458.15339
Calculate -2.0799*5.84.
-12.146616
Work out -25 * 31568.
-789200
Product of 23.689715 and 0.
0
What is the product of 1.9 and -137462?
-261177.8
-6381288 * 0.6
-3828772.8
-1318157 times -0.21
276812.97
2241735*-33
-73977255
6 times 5.59212
33.55272
Work out 517 * -160.07.
-82756.19
89*6331121
563469769
Calculate 237.7*-0.012277.
-2.9182429
47 * 29302
1377194
Multiply -4 and -10664998.
42659992
What is the product of -2 and 0.0221286?
-0.0442572
Calculate 1.3*-34.174629.
-44.4270177
Calculate -0.0677559*-0.1.
0.00677559
-3 * 0.1041831
-0.3125493
What is the product of -130 and -45.372?
5898.36
Calculate -261470*-131.
34252570
Multiply 8670284 and -3.
-26010852
1 * 0.04504378
0.04504378
What is -1226 times 0.0675?
-82.755
1*69131798
69131798
0.016 times -3343208
-53491.328
-707*-502306
355130342
Calculate -11836*26591.
-314731076
Calculate 240507*-17.
-4088619
-86194 * 77
-6636938
Work out 1295.7426 * 4.
5182.9704
-10 * -3355651
33556510
0.10685*3293
351.85705
300 * 0.010542
3.1626
What is the product of 5 and -14663716?
-73318580
What is the product of -9384799 and -1.5?
14077198.5
Calculate 692512386*0.4.
277004954.4
-1556764 times -0.33
513732.12
What is the product of 0.813349 and -11?
-8.946839
Multiply 0.3 and -16167965.3.
-4850389.59
1930.44*45
86869.8
-25.6429926 * 0.3
-7.69289778
-84*84128
-7066752
3156.368*-22
-69440.096
Multiply -509223 and -132.
67217436
0.1*5.652993
0.5652993
Product of 4 and -800117.5.
-3200470
Calculate -239*-14425.9.
3447790.1
-3*-1568842.8
4706528.4
Work out -87213 * -1228.
107097564
Calculate 0.8*-0.14856955.
-0.11885564
Multiply 0.7335 and 173.
126.8955
Calculate -20006306*1.
-20006306
What is the product of -2 and -42378776?
84757552
Product of -948 and -23.52.
22296.96
-7261*667.2
-4844539.2
What is -905.18 times -1575?
1425658.5
What is -3572975 times 8.3?
-29655692.5
Calculate -62*997854.
-61866948
Multiply -314 and 34.14.
-10719.96
Product of 3.1713 and 0.1087.
0.34472031
-353.74 times -1668
590038.32
What is the product of 4 and 11197077?
44788308
What is 58602 times 210?
12306420
7
|
{
"pile_set_name": "DM Mathematics"
}
|
(-12)*12/6.
-1/3
Calculate (9/(-6)*-1*2)/3.
1
What is the value of 5*(-10)/(-25)*-2?
-4
What is ((-8)/12)/((-2)/3)?
1
What is (2/1)/(96/(-12))?
-1/4
What is the value of (-6)/(-8)*(-16)/(-20)*5?
3
What is the value of (7/(-14))/(6/4)?
-1/3
29/(2030/336)*5/4
6
What is the value of 12*((-2)/5)/((-104)/130)?
6
Calculate 1*-1*3/3.
-1
What is the value of ((-45)/27)/((-10)/4)?
2/3
What is the value of (8/(-14))/(30/105)?
-2
Evaluate (9/135*12)/(2/(-15)).
-6
(-6)/((-4)/(4*7/7))
6
Evaluate ((-6)/(-4))/((-186)/(-62)).
1/2
((-60)/(-30))/(2*(-4)/32)
-8
((-8)/(-3))/(24/(-36))
-4
Calculate (-245)/(-1127)*(-4)/(-10).
2/23
What is the value of -33*-4*1/12?
11
Calculate ((-2)/(-4)*-1)/(1/(-6)).
3
10/15*36/((-8)/(-2))
6
-1*(14/2)/(15/(-15))
7
What is the value of -44*(-1)/8*4/(-8)?
-11/4
(-176)/96*(-3)/11
1/2
What is the value of ((-18)/(-21)*7/4)/6?
1/4
Evaluate 3*7/(-294)*4.
-2/7
What is (93/279)/(2/16)?
8/3
What is (-5)/25*10/(-4)*-6?
-3
Calculate (30/25)/((-9)/30).
-4
Calculate 0/((-2)/2*5).
0
(-6)/(-3)*2/6*-3
-2
What is the value of ((-3)/(-12))/((-30)/60)*14?
-7
What is (1/1)/((-9)/36)?
-4
2/14*(-3)/3*2
-2/7
Evaluate 1/((-32)/96*2/2).
-3
What is the value of ((-2)/(-5))/(35/(-25))?
-2/7
((-6)/(-9))/(3*(-8)/(-108))
3
(10/105)/((-5)/(-15))
2/7
-5*1*(96/(-10))/(-8)
-6
What is the value of ((-21)/(-3))/14*0/2?
0
Evaluate ((0/2)/((-28)/(-28)))/(-1).
0
Evaluate (2*(-1)/(-10))/((-412)/1545).
-3/4
Evaluate 72/((-18)/(-2))*2/4.
4
3/(-1*(12/8)/1)
-2
What is the value of (12/22)/(24/33)?
3/4
What is the value of (-14)/(-4)*(-142)/71?
-7
((-42)/(-56))/(-2*1/(-8))
3
What is the value of (-3)/(-72)*8*-4?
-4/3
Evaluate 4/20*60/(-54).
-2/9
((-390)/20)/13*(-8)/(-42)
-2/7
Calculate (-12)/252*7/(14/12).
-2/7
Evaluate (36/3)/24*-4.
-2
Calculate 24/(-60)*15/4.
-3/2
Evaluate (279/(-62))/(3/4).
-6
What is the value of (-12)/(-60)*0*(-2)/(-8)?
0
What is the value of (-2)/(-30)*12/2?
2/5
Evaluate (62/93)/(2/(-3)*5).
-1/5
What is the value of (-2)/(-2)*(-24)/(-132)?
2/11
What is the value of ((-2)/(-5))/((-137)/2740)?
-8
What is the value of 3*4/(-18)*-6?
4
Calculate 364/78*3/(-2).
-7
What is the value of 170/(-204)*(-4)/(-10)?
-1/3
Evaluate 76/(-285)*1*10/4.
-2/3
What is (-3)/((-75)/(-5))*(-25)/(-30)?
-1/6
Evaluate (-4)/(-4)*(-1)/(-2)*-2.
-1
What is the value of ((0/(-4))/3)/(3/(-3))?
0
Calculate (30/(-8))/(486/(-108)).
5/6
Evaluate ((-2)/(-4))/(1/20*5).
2
What is the value of ((-33)/(-33))/(2/6)?
3
Evaluate (1*(-4)/(-48)*6)/(-2).
-1/4
What is 117/(-156)*24/27?
-2/3
Calculate 147/49*3*(-1)/1.
-9
What is the value of -3*12/15*(-110)/66?
4
Calculate 26/(-39)*(-12)/2*-1.
-4
Calculate (5/((-15)/(-2)))/((-22)/(-99)).
3
Evaluate 3*-3*1/9.
-1
What is (9/((-810)/6))/((-2)/6)?
1/5
(50/75)/(4/(-2))
-1/3
(-9)/(-18)*(-6)/(-4)*4
3
What is 340/34*2*1/(-5)?
-4
What is ((-11)/(-22))/((-3)/(-4))?
2/3
Evaluate ((-40)/5)/16*3*-1.
3/2
What is the value of 8/10*1/4*5?
1
0/(1/((-4)/(-4)))
0
(((-144)/27)/8)/2
-1/3
(-1)/(((-33)/6)/11)
2
Evaluate (154/(-385))/(((-18)/10)/(-1)).
-2/9
(-10)/(-35)*7*3/(-2)
-3
(7/28)/(21/36)
3/7
What is the value of (72/(-600))/((-18)/(-15))?
-1/10
What is ((-2)/(-16))/(1/(-6))?
-3/4
What is the value of -3*(16/(-6))/(-8)?
-1
What is the value of 1162/332*(-4)/7*2?
-4
What is the value of (10/(-4))/((-1)/2)?
5
What is the value of 74/148*(-8)/(-6)?
2/3
Calculate ((-30)/(-15))/(((-6)/(-3))/(-2)).
-2
What is -1*10/(-5)*(-4)/4?
-2
Evaluate ((0/4)/5)/2.
0
What is the value of 42*8/96*24/(-154)?
-6/11
(30/27)/(18/(-81))
-5
(26/((-156)/27))/(3/(-4))
6
Evaluate (-2)/((-2)/15)*4/12.
5
What is 0/38*2/6?
0
Calculate (2/1)/(64/(-16))*-10.
5
What is (5/10*-1)/((-5)/(-6))?
-3/5
What is (((-2)/4)/(1/8))/(-10)?
2/5
Calculate (-2)/((-2)/(-50)*10).
-5
Calculate (-33)/(-275)*5/1.
3/5
Evaluate (196/343)/(34/7).
2/17
What is 16/(-160)*8/(-2)*10?
4
Calculate (2/3*1)/(2/(-1)).
-1/3
What is the value of (-4)/((50/(-2))/5*-2)?
-2/5
Calculate (-330)/(-132)*(-1)/20.
-1/8
Evaluate (1/2)/((-2)/(-16)).
4
What is 2/(-5)*(-20)/(-8)?
-1
What is the value of (-402)/(-268)*(-4)/(-6)?
1
(10/4)/(24/48)
5
(-10)/(-2)*3*(-1)/(-5)
3
What is the value of -3*4/24*-6*1?
3
What is the value of 5/((-10)/1)*-2?
1
((-99)/165)/((-18)/10)
1/3
Evaluate (3/2)/((-23)/46).
-3
Calculate ((-161)/483)/(2/(-6)).
1
Evaluate 1/(((-8)/80)/((-2)/4)).
5
Calculate ((-12)/48)/((-14)/(-280)).
-5
Evaluate (1/1)/8*-3.
-3/8
Evaluate (-2)/8*1*0.
0
What is ((-10)/(-105))/((64/(-12))/8)?
-1/7
Evaluate (-36)/(-28)*(-7)/(-21).
3/7
Calculate (-34)/51*(-3)/(-8).
-1/4
What is (-14)/35*1/(-2)?
1/5
Calculate (360/35)/(-9)*(-1)/2.
4/7
Evaluate (-6)/(-8)*20/(-5).
-3
Calculate 4/4*9/(-3).
-3
(-18)/(-3)*(-2)/6
-2
What is 3/1*2/2?
3
Evaluate ((-6)/54)/((-21)/27).
1/7
What is the value of (-6)/(-1)*(-5)/(-45)*-6?
-4
What is the value of 12/4*4/2?
6
12/((-576)/(-12))*4/(-1)
-1
Evaluate (27/(-27))/((-1)/(2/2)).
1
(2/((-50)/45))/(18/(-60))
6
Calculate (21/(-7))/((-2)/(-6)*-3).
3
What is the value of ((-75)/(-50))/(6/20)?
5
What is the value of (17/4488*-8)/((-1)/(-6))?
-2/11
50/(-75)*1*6/(-14)
2/7
Evaluate ((-7)/(-63))/((-7)/14).
-2/9
Evaluate (5*(-4)/(-20))/(-1)*3.
-3
What is (-5)/(-13)*(60/50)/(-3)?
-2/13
What is -16*8/(112/7)?
-8
Evaluate (74/(-185))/((-1)/1).
2/5
What is the value of (7/(420/8))/(16/40)?
1/3
What is the value of ((-7)/(28/20))/4?
-5/4
Calculate (4/36)/((-9)/81*-1).
1
Calculate (-9)/(-6)*(672/18)/8.
7
Evaluate (-2)/(((-12)/(-15))/(-2)).
5
Evaluate 3*1/(-6)*140/10.
-7
What is the value of (-2)/(-6)*(-7)/(21/6)?
-2/3
What is -21*(-25)/(-15)*(-3)/(-15)?
-7
What is the value of (8/(-10))/((-90)/(-675))?
-6
Calculate 6/(33/(-44)*2).
-4
Evaluate (2/5)/(16/(-30)).
-3/4
Calculate -5*(72/84)/(15/21).
-6
What is (-1*4/16)/(1/1)?
-1/4
What is the value of ((3/54)/1)/((-3)/24)?
-4/9
What is the value of (-1)/(-1)*0/1?
0
(-6)/((-6)/2)*-1*1
-2
What is (87/(-116))/(-3*(-3)/(-60))?
5
What is (3/(1/1))/((-18)/(-12))?
2
(-3)/(-2)*(-10)/3
-5
Evaluate (-5)/(250/15)*(-8)/6.
2/5
Evaluate 6/(-2)*(28/(-12))/(-7).
-1
What is ((-2)/14)/((-1)/21)?
3
What is the value of (6/(-68))/((-360)/1020)?
1/4
What is (-1)/(-1)*(-184)/(-460)?
2/5
Evaluate (-1)/((15/(-60))/(1/4)).
1
What is the value of ((-10)/(-12))/(-4*2/48)?
-5
What is (108/(-144))/(9/(-8))?
2/3
Evaluate (12/2)/6*-3.
-3
Evaluate (-5)/6*(-9)/(270/(-16)).
-4/9
What is ((-4)/8*4/14)/1?
-1/7
Evaluate 1*(6*2)/((-12)/6).
-6
What is 7*((-16)/(-8))/((-2)/(-1))?
7
What is 20/10*(-6)/4?
-3
(5/(150/(-2)))/(8/(-10))
1/12
Evaluate (-1)/((-2)/9)*(-10)/75.
-3/5
((-20)/(-15))/(-4)*(-18)/14
3/7
Evaluate (2/(-3))/(1/6).
-4
Calculate ((-5)/1)/(192/(-192)).
5
Evaluate ((-3)/4)/((-10)/40).
3
-5*51/340*(-1)/(-3)
-1/4
Evaluate (4/2)/(60/(15/3)).
1/6
What is the value of (-15)/(-70)*-2*(-5)/(-5)?
-3/7
(-22)/33*(-18)/(-30)
-2/5
Calculate (-6)/(-3)*-1*(-4)/(-4).
-2
What is the value of 5/360*-8*6/(-4)?
1/6
Calculate (-1)/((54/30)/9).
-5
Calculate (297/396)/((-3)/(-28)).
7
2/7*(-4)/(16/7)
-1/2
What is the value of 2*((-3)/(-4))/((-36)/(-168))?
7
(-2)/(-8)*216/(-270)*2
-2/5
What is (-1)/((7/42)/1)?
-6
2/(140/(-42)*12/10)
-1/2
Evaluate 16/(-48)*(-4)/(8/(-6)).
-1
What is 6/(1/(2/3))?
4
((-9)/6)/(450/40)
-2/15
Calculate (-10)/(-2*(-1)/4*-4).
5
What is the value of ((-2)/3)/((-21)/(84/(-16)))?
-1/6
Calculate ((-6)/(-7))/((-76)/(-266)).
3
(242/(-99))/((-26)/117)
11
Evaluate (-3)/(-3)*-3*5/45.
-1/3
Calculate (((-8)/9)/4)/((-7)/189).
6
(7/(63/3))/((-5)/15)
-1
Calculate ((-9)/2)/((624/(-64))/(-13)).
-6
What is the value of 30/10*4*(-3)/18?
-2
(-9)/((-1296)/(-128))*3/(-2)
4/3
Calculate ((-4)/(16/(-3)))/((-3)/(-24)).
6
What is the value of (-720)/(-60)*((-3)/(-10))/3?
6/5
Evaluate (-8)/(-6)*(-144)/64.
-3
Evaluate ((-2)/(-24))/(-1*2/20).
-5/6
What is the value of (-4)/(-14)*-1*(-7)/3?
2/3
What is the value of ((-37)/(-74))/((-2)/(-24))?
6
What is the value of (10/(-6))/((-25)/135)*-1?
-9
-45*1*16/(-80)
9
What is the value of ((-10)/3)/((-20)/15)?
5/2
What is 9*(6/(-21))/((-21)/49)?
6
Calculate 6/((-6)/(-3))*(-12)/9.
-4
Calculate 7/(-10)*(-2)/(-14).
-1/10
Evaluate (828/(-69))/((-2)/(-1)).
-6
Calculate (-3)/4*2*(-5)/15.
1/2
Calculate ((-2)/(-7))/(250/(-350)).
-2/5
((-46)/(-322))/(6/7)
1/6
(-1)/(((-15)/25)/(30/(-325)))
-2/13
What is the value of ((-3)/((-63)/(-7)))/((-1)/(-6))?
-2
What is 1/((-30)/(-12))*(-150)/(-12)?
5
Evaluate (714/51)/(1*-2)
|
{
"pile_set_name": "DM Mathematics"
}
|
x**(-2/5)/x assuming x is positive.
x**(-343/110)
Simplify (w/((((((w*w*w*w*w**(-4/3)*w*w)/w)/w)/w)/w)/w)*w*w**(-6))/((w*w/(w/(w*w*w*(w/((w*w*w**(-1/8))/w))/w*w)))/((w/w**(-2)*w*w)/w)) assuming w is positive.
w**(-91/24)
Simplify (w/(w**(1/5)*w)*(w/(w/(w**3/w)))/w)/(w**8*w*((w/w**10*w)/w)/w) assuming w is positive.
w**(9/5)
Simplify (v/(v*v/v**(-6/7))*v**(-6))**(-4/5) assuming v is positive.
v**(44/7)
Simplify (n/(((n/(n**(-6)*n))/n)/n)*n*n)/(n/((n/n**(-1/6))/n)) assuming n is positive.
n**(-11/6)
Simplify (t**(-4))**(4/3) assuming t is positive.
t**(-16/3)
Simplify o**(1/20)*o**44/o assuming o is positive.
o**(861/20)
Simplify j/(j**(1/7)/j)*j/(j/(j*j**0))*(j/(j**(-1)/j))**(-15/7) assuming j is positive.
j**(-25/7)
Simplify ((v/(v*v**(5/2)*v)*v)/v)**(-3/34) assuming v is positive.
v**(21/68)
Simplify m**(-2/35)/(m**(-3)*m) assuming m is positive.
m**(68/35)
Simplify ((z**(-1))**(-4/37))**21 assuming z is positive.
z**(84/37)
Simplify (o**(6/7))**0 assuming o is positive.
1
Simplify (b**(-3)*b**(1/4))/(b**(1/2))**(-22/5) assuming b is positive.
b**(-11/20)
Simplify (s**1)**(7/6)/((s**4*s*s*s)/s*s/s**(2/9)) assuming s is positive.
s**(-101/18)
Simplify (h**5*(h**(-3/5)/h)/h)/((h*h**(-3/7))/(h*(h**4/h)/h*h)) assuming h is positive.
h**(204/35)
Simplify (x*x/(x/(x**(1/7)*x))*x)/(x*(x*x**(-7/5))/x*x) assuming x is positive.
x**(89/35)
Simplify ((p/(p/p**(-18)))/p)/p**(-1/5) assuming p is positive.
p**(-94/5)
Simplify (v/v**10)/(v/(v**(1/7)*v)) assuming v is positive.
v**(-62/7)
Simplify g**(5/6)*g*g/g**(21/2) assuming g is positive.
g**(-23/3)
Simplify a*a**(-16)*a*(a*(a/((a/a**(-2/5)*a)/a))/a)/a assuming a is positive.
a**(-77/5)
Simplify u/(((u/u**(2/9))/u)/u)*u**4*u**6*u**(-2/9) assuming u is positive.
u**12
Simplify (u/(u/(u*u*u**(-7)*u*u)))**(11/5) assuming u is positive.
u**(-33/5)
Simplify (v*v/v**(-17/5))**(1/6) assuming v is positive.
v**(9/10)
Simplify d**(-20)/(d/d**13*d) assuming d is positive.
d**(-9)
Simplify l*l/(l/(l/(l*l**(4/5))))*l**(-4)*l**(3/8)/l**2 assuming l is positive.
l**(-217/40)
Simplify ((u**0*u)**(-21))**(-2) assuming u is positive.
u**42
Simplify n**(-2/17)/(n*n**25*n) assuming n is positive.
n**(-461/17)
Simplify r**(2/5)*r*r**(-5)*r**(-2/7)/r*r*r/r**(-5) assuming r is positive.
r**(74/35)
Simplify g**(13/5)*g**(2/9) assuming g is positive.
g**(127/45)
Simplify ((z**(-1/8))**(-26/7))**(6/19) assuming z is positive.
z**(39/266)
Simplify ((v/(v**(-1/14)*v))/v)/(v*v*v**(3/20)) assuming v is positive.
v**(-431/140)
Simplify ((o**(3/2)*o)/o)/(o/((o*o**(-9)*o*o)/o))*o**(-1/2)/o*o**(-4)/o assuming o is positive.
o**(-13)
Simplify ((t/(t/(t*t**(-3/8)))*t*t)**(-3))**33 assuming t is positive.
t**(-2079/8)
Simplify (((j*j**(-2/5))/j)/(j/(((j*j**4)/j)/j)))/((j**(3/10)*j)/j**(1/14)) assuming j is positive.
j**(13/35)
Simplify (o**(-15)*(o*o**(-2/5))/o)**(-48) assuming o is positive.
o**(3696/5)
Simplify (i**(-1/3)*i)**9 assuming i is positive.
i**6
Simplify (w**28*w)/((w**(-4)/w)/w) assuming w is positive.
w**35
Simplify (a/(((a/a**(-45))/a)/a))**(-2/5) assuming a is positive.
a**(86/5)
Simplify (f**(2/15))**(11/5) assuming f is positive.
f**(22/75)
Simplify (u/(((u/u**2)/u)/u*u)*u*u*(u*(u/(u**(2/7)*u*u))/u*u)/u*u)**(1/30) assuming u is positive.
u**(11/70)
Simplify (h/(h**(-6)/h)*(h*(h/(h*(h/(h**(-10)/h))/h))/h)/h)/(h**(-1)*h)**(-1/4) assuming h is positive.
h**(-4)
Simplify (b/((b*b/b**2)/b)*(b*b/b**5)/b*b*b)/(b**(-2/5)*b)**(-1/30) assuming b is positive.
b**(1/50)
Simplify ((y**(-2/71)*y)/y*y)/y**(2/73) assuming y is positive.
y**(4895/5183)
Simplify (r**(-8)*r*r/(r*r**8)*r)**0 assuming r is positive.
1
Simplify ((w/(w*w*w**(-2)*w))/(w*w**(-1)*w))/((w/w**(2/9))/(w/w**(5/4))) assuming w is positive.
w**(-73/36)
Simplify (s*s**(-4/7)/s*(s**(-5)/s)/s)/(s*s*s/(s*s**(-1)*s)*s)**(-10) assuming s is positive.
s**(157/7)
Simplify i**(3/7)/(i**(-5)/i)*i*(i/(i**(2/33)/i))/i*i*i**(-3)/i*i assuming i is positive.
i**(1471/231)
Simplify z**(-19)*z*z**(-9) assuming z is positive.
z**(-27)
Simplify (w*w**(-1))**2/(w**(-8)*w*w/(w/(w/w**8)*w*w)) assuming w is positive.
w**16
Simplify ((b**3)**(2/15))**(-13) assuming b is positive.
b**(-26/5)
Simplify (f**2)**28*(f*f/f**(3/2))/(f/(f**(-7)/f)) assuming f is positive.
f**(95/2)
Simplify (o*o**(-3/5))**(-13/4)/((o/(o**(2/5)/o))/o)**(-36) assuming o is positive.
o**(203/10)
Simplify (t/t**(-1))**(-27) assuming t is positive.
t**(-54)
Simplify ((d/d**(1/7))/((d**(4/11)/d)/d*d))/((d**(-1/4)/d)/(d/((d/(d*d*((d**(-2/7)/d*d)/d)/d*d*d))/d))) assuming d is positive.
d**(1681/308)
Simplify (m**(1/14)*(m/m**(-1/4))/m)**(-33) assuming m is positive.
m**(-297/28)
Simplify (g/(g**21/g))/g**(8/3) assuming g is positive.
g**(-65/3)
Simplify t/t**(-7)*t*t/t**(-2)*t*t**(-1/13)*t**2*t*t assuming t is positive.
t**(220/13)
Simplify (g*g/(g/g**(-1/4)))/g*g*(g**(-2/3)/g)/g*g*g**(-5)*g**6 assuming g is positive.
g**(1/12)
Simplify (y/(y**(-3)/y))**35 assuming y is positive.
y**175
Simplify ((n*n**1*n*n)/n**(1/2))/((n*n**(-1))/n)**(7/4) assuming n is positive.
n**(21/4)
Simplify y/(y*y/(((y**(-4)*y)/y*y)/y)*y)*y/(y/(y*y*(y/y**(1/3))/y*y))*y**(-1/3)*(y*y*y/(y**(-2/9)/y))/y assuming y is positive.
y**(-4/9)
Simplify r*r**(2/13)*r/((r*r/r**3*r)/r)*(r/r**(-2/3)*r)**(3/11) assuming r is positive.
r**(555/143)
Simplify m**(-21/8)/(m/m**(-6/7)) assuming m is positive.
m**(-251/56)
Simplify c/c**1*c*c*c/c**(-3/7) assuming c is positive.
c**(24/7)
Simplify ((z**2)**(-4/31))**(12/11) assuming z is positive.
z**(-96/341)
Simplify c/(c/(c/c**(-22)))*c**(3/10) assuming c is positive.
c**(233/10)
Simplify ((r**(-13)/r)/r*r*r*(r*(r**(-17/4)/r)/r*r)/r*r*r)**(-26) assuming r is positive.
r**(845/2)
Simplify m**(-14)*m*m*(m*m**(4/7))/m assuming m is positive.
m**(-80/7)
Simplify ((j*j**(1/6)*j*j)/(j**(-7)/j*j))/((j*j**9*j)/j**(-3)) assuming j is positive.
j**(-23/6)
Simplify (a**16)**(-11) assuming a is positive.
a**(-176)
Simplify ((q*q/(q**(-1/4)*q))**(-41))**(2/41) assuming q is positive.
q**(-5/2)
Simplify (j**0*j)**(-18)*j**(-1/11)/(j/(j**(-1/17)/j)) assuming j is positive.
j**(-3768/187)
Simplify ((s**6/s)/s*s**8*s)/(s**(-1/7)*(s/(s*(s/s**2*s)/s))/s) assuming s is positive.
s**(92/7)
Simplify (y*y*y**(-1))**(-5/4)*y*y/y**2*y**(-2/7) assuming y is positive.
y**(-43/28)
Simplify (r**(-1/2))**(-39) assuming r is positive.
r**(39/2)
Simplify u**(-1)/u**(-2/11)*(u/u**0)**(-13) assuming u is positive.
u**(-152/11)
Simplify (o**16*(o/(o/(o*o**(2/39)/o)))/o)**46 assuming o is positive.
o**(27002/39)
Simplify ((t**(-4))**(2/29))**10 assuming t is positive.
t**(-80/29)
Simplify (((n/n**(2/3))/n)**44)**25 assuming n is positive.
n**(-2200/3)
Simplify (g/(g*g**(-12)/g))**(-3) assuming g is positive.
g**(-39)
Simplify (n*n**0/n)**(-33)/(n**(-1/4)*n*n**0) assuming n is positive.
n**(-3/4)
Simplify c**(-2)*c*c**(1/10)*(c**1)**(1/8) assuming c is positive.
c**(-31/40)
Simplify ((u*u*(u/((u/(u*u**(-2/15)*u))/u))/u*u*u)/u*u)/(u*u*u**5) assuming u is positive.
u**(-17/15)
Simplify (((k/(k**(-2/25)*k))/k*k)**(-2/75))**(-1/3) assuming k is positive.
k**(4/5625)
Simplify (q**1)**(2/107)*((q**(-1/7)*q*q)/q*q)/(((q**(-5)*q)/q)/q) assuming q is positive.
q**(5899/749)
Simplify (m/(m/(m/m**(-6)))*m*m)/m**(-2/17)*m**(-6)/m*m*m**(-2/5) assuming m is positive.
m**(231/85)
Simplify t**7*t**(-2/131) assuming t is positive.
t**(915/131)
Simplify (f**(2/3))**(-21)*((f**(1/5)*f)/f)**(-1/18) assuming f is positive.
f**(-1261/90)
Simplify (l/(l/l**35*l))/(l/(l*l**45)*l) assuming l is positive.
l**78
Simplify (((l/(l**(1/2)*l))/l)/(l/(l*l**(-1/5))))/(l**(-2)/(l/l**(2/5))) assuming l is positive.
l**(9/10)
Simplify (f/((((f*f**3)/f)/f)/f))/f*f*f**(3/8) assuming f is positive.
f**(3/8)
Simplify l/l**(-1/30)*l*l**(8/11)/l*l assuming l is positive.
l**(911/330)
Simplify (v/(v*v*v**6))**(-24) assuming v is positive.
v**168
Simplify ((g*g**36)/g)**(11/5) assuming g is positive.
g**(396/5)
Simplify i/i**(2/5)*(i/(i*i**(3/7)))/i*i assuming i is positive.
i**(6/35)
Simplify (r**(-1))**(-33)*((r*r/r**0)/r)**(-10) assuming r is positive.
r**23
Simplify ((k/k**4*k)/k**(2/5))/((k*k**7)/((((k*(k/k**(-3/7))/k)/k)/k)/k)) assuming k is positive.
k**(-419/35)
Simplify k**12/(k*k/k**6) assuming k is positive.
k**16
Simplify t/t**(3/4)*t**4*t**(-2)/(t/(t**(-5)/t)) assuming t is pos
|
{
"pile_set_name": "DM Mathematics"
}
|
5*g - 41. Suppose 3*p + 2*o - 90 = 0, p = -2*o + 17 + w. Suppose -p = -3*a + 1. What is the tens digit of a?
1
Let u(o) be the first derivative of -4*o**2 + 6 - 1/3*o**3 + 10*o. What is the units digit of u(-7)?
7
Let f = -38 + 19. Let t = 11 + f. Let g = -4 - t. What is the units digit of g?
4
Suppose 16*r = 20*r. Suppose i - 592 = -5*k, -4*k + r*i - 4*i = -480. What is the units digit of k?
8
Let h(d) = -3*d - 5. Let p(i) = -9*i - 16. Let k(z) = -17*h(z) + 6*p(z). Let t(a) = -a - 4. Let x(j) = 2*k(j) - 7*t(j). What is the units digit of x(6)?
2
Let o(p) = -7*p + 27*p**2 - 28*p**2 + 0*p. Let g be o(-7). Suppose g = -2*s - 2*s + 8. What is the units digit of s?
2
Let y(w) = w**3 + 10*w**2 + 11*w + 11. Suppose -5*c + 90 - 25 = 0. Suppose -2*r + 44 = -5*f, -2*f - c - 1 = r. What is the tens digit of y(f)?
5
Let z(h) = 3*h**2 - 18*h + 4. Let b(a) = -10*a**2 + 55*a - 12. Let r(o) = -2*b(o) - 7*z(o). What is the tens digit of r(15)?
1
Let o(z) = -z + 3. Let i be o(-1). Let l be 48/(i/2 - 1). What is the units digit of l + 2 + -8 + 2?
4
Let g(z) = -2*z + 10. Let a be g(-8). Suppose 0 = 2*u - 4*x - 22, 2*u - 5*x + 1 = a. Suppose c + 0*i = -u*i - 21, -15 = 3*i. What is the units digit of c?
4
Suppose 5*b = 2*b - 69. Let o(d) = -d**3 - 12*d**2 + 8*d - 14. Let y be o(-13). Let t = y - b. What is the units digit of t?
4
Suppose 40*y + 5*r = 45*y - 14110, -y = -2*r - 2818. What is the hundreds digit of y?
8
What is the units digit of 290/75*123 - (-4)/10?
6
Suppose -21 = -k - 1. Suppose -10 = -25*n + k*n. Suppose 12 = n*h - 6. What is the units digit of h?
9
Suppose -85 - 35 = 3*p. Let y = -10 - -66. Let g = y + p. What is the units digit of g?
6
Let w = -44 - -48. Suppose -4*s + u = 0, w*u = 3*s + 8 + 5. What is the units digit of s?
1
Suppose 9*r = 6*r + 21. Suppose r*q = 11 + 17. Suppose -2*t - h + 43 = 0, -t - 75 = -6*t + q*h. What is the tens digit of t?
1
Let u = 61 + -58. Suppose u*s = -7 + 61. What is the units digit of s?
8
Let x(j) = 15*j**2 + 7*j**3 - 8*j**3 - 6*j + 14 - 9*j. Let g be x(14). Suppose -5*n - 2*p + 90 = g, 5*n - 60 - 30 = 5*p. What is the units digit of n?
8
Let o(w) = -w**2 + 13*w - 15. Let t be 94/10 - (-3)/5. What is the tens digit of o(t)?
1
Let r = 13 + -8. Suppose r*d - 3 - 22 = 0. Suppose 2 = d*w - 3. What is the units digit of w?
1
Suppose 0 = -5*i + 6 + 19. What is the tens digit of (-1)/(i/(-510))*2?
0
Suppose -37*f + 31*f = -2472. What is the units digit of f?
2
Let v = -49 - -45. What is the tens digit of 93 - (2/(-4) - (-6)/v)?
9
Let y be 21/(-56)*(2 - 10). What is the tens digit of 218*-4*y/(-24)?
0
Suppose -4*o + 42 + 242 = 0. Suppose -4*y + 3*r = -3*y - 89, 3*r = -y + o. What is the units digit of y?
0
Suppose 0*y - 4*y - 4*u + 932 = 0, 4*y = 3*u + 946. What is the hundreds digit of y?
2
Let z be (3 - 54/21) + 2192/14. Let r = z + -97. What is the units digit of r?
0
Let l = -20 - -19. Let q(c) = 3*c**2 - 1. Let h be q(l). What is the tens digit of h/(156/51 + -3)?
3
What is the thousands digit of (2152/(-10))/(191/(-3820))?
4
Let w(h) = 3*h + 48. Let m be w(-14). What is the units digit of 227 - m - (2 + 0 + 1)?
8
What is the units digit of -15 + 671/44 + 2831/4?
8
Suppose 4*w = w. Let c = 31 - w. Let x = c + -14. What is the units digit of x?
7
Let x be -6 + -3*12/(-9). What is the units digit of 1/x + (-91)/(-14)?
6
Let l be (-4)/6 + 39/(-9). Let b = 5 + l. Suppose b = 2*s - 5*w - 60, 5*s = s - w + 76. What is the tens digit of s?
2
Let n(o) = -5*o + 514. What is the tens digit of n(31)?
5
Let f = 659 + -51. Let s be (-4)/(-3) - f/(-12). What is the tens digit of (-4)/(-2) + -2 + s?
5
What is the hundreds digit of (63/6)/(-3)*(-8508)/42?
7
Let c be (-6)/3 - (0 + -2). Let f = c + 3. What is the units digit of 1/(-2)*(-42)/f?
7
Suppose -13*i + 15 = -8*i. Suppose i*p = h + 3*h - 124, -2*h - 3*p + 80 = 0. What is the units digit of h?
4
Let h = 11 - 11. Suppose 0 = -h*t - 3*t + 9. Let l = 13 + t. What is the units digit of l?
6
Suppose 5 = -w - 2*p + 4*p, w - 5*p + 14 = 0. Let g be (6*1)/(w/(-5)). What is the tens digit of g/4*(-8)/6?
1
Suppose 2*c - 1100 = 4*n - 4938, 2872 = 3*n + 5*c. What is the tens digit of n?
5
Let o(j) = j**3 + 6*j**2 + j + 6. Suppose 0 = -0*u - u + 6. Suppose -5 = -5*f + u*f. What is the tens digit of o(f)?
2
Suppose -4*j = h - 15, 0 = -4*j - 5*h + 8 + 3. Suppose 0*g + j*g + 71 = 5*v, 70 = 5*v - 5*g. Let m = v - 4. What is the tens digit of m?
1
Let t(c) = 2*c**3 - 6*c**2 + 4*c + 11. Let a be t(5). Suppose -j - 33 = -a. What is the units digit of j?
8
Let r(i) = -i**2 - 8*i + 12. Let m be r(-8). Suppose 3*z - 2*z = 3*w + 8, 0 = -z - w + m. What is the tens digit of z?
1
Let z(s) = -46*s**2 + 5*s - 41*s**2 + 89*s**2 + 54. What is the tens digit of z(-10)?
0
Let h be 2/(-13) - 6265/91. Let q = h + 99. What is the units digit of q?
0
Let i(g) = -2*g**2 + 4*g + 4*g + g**2 + 13 - g**3 - 7*g. What is the tens digit of i(-4)?
5
Suppose -9 = -4*f - o, 5*f + 0*o - 21 = 2*o. Suppose 0 = f*t - t. Suppose t*h - 4*h = -88. What is the tens digit of h?
2
Let w = 315 - 195. What is the units digit of (2/(-5))/((-8)/w)?
6
Suppose -2*m = m - 654. Let q = m + -131. Suppose -5*k + 2*k = -q. What is the units digit of k?
9
Let m = -1951 - -3315. What is the units digit of m?
4
Let a(f) = -f**3 - 58*f**2 - 103*f + 54. What is the hundreds digit of a(-57)?
6
What is the units digit of 3 + -3 + 7 + 845?
2
Suppose -4*q = -3*g + 783, -4 = -q - 7. What is the tens digit of g?
5
Suppose 0 = 24*z + 9*z - 55011. What is the units digit of z?
7
Suppose -j - 3*i - 9 = 0, -5*i - 4 = 21. Let k(m) = 6*m - 2. Let n(d) = -d**2 - d + 1. Let c(s) = -k(s) - 2*n(s). What is the units digit of c(j)?
8
Let i = 778 + -755. What is the units digit of i?
3
Let a = 1171 + -777. What is the tens digit of a?
9
Let y = 44 + -27. Suppose -y = -4*h - 9. Suppose -2*n = -3*w - 105, h*w - 30 - 100 = -2*n. What is the units digit of n?
0
Suppose 0 = -664*q + 671*q - 7042. What is the units digit of q?
6
Let w = -886 + 1793. What is the hundreds digit of w?
9
Let l be -3*(0 + -5)*(-1)/(-3). Suppose u - 389 = -3*o + 3*u, 4*u - 663 = -l*o. What is the units digit of o?
1
Let x be 89 - (25/(-5) + 0). What is the tens digit of 1*x - 6/(-9)*-3?
9
Suppose 2*n = 6*n - 5*v - 163, 2*v = -3*n + 105. What is the units digit of n?
7
Let k(p) = -302*p**3 + p**2 - 7*p - 7. What is the hundreds digit of k(-1)?
3
Suppose -29760 = 24*i - 36*i. What is the tens digit of i?
8
Let p = -43 - -46. What is the units digit of (p/(-6))/(2/(-312))?
8
Let t = -3 + 11. Let c = t - 14. Let x = c - -15. What is the units digit of x?
9
Suppose 5*v - 18 = -l - 2, 3*v + 4*l = -4. Let w(t) be the third derivative of 3*t**4/8 - t**3/6 - 36*t**2. What is the tens digit of w(v)?
3
Let l(v) = -19*v**3 + 5*v**2 - 9*v - 45. What is the thousands digit of l(-4)?
1
Let w(f) = 20*f - 25. What is the units digit of w(4)?
5
Let h be (1 - 3 - -4) + (239 - 5). Suppose -349 = -5*g + 2*c + 255, -2*g + h = 2*c. What is the units digit of g?
0
Let o(n) = n**3 + 16*n**2 - 19*n - 16. Let a be o(-17). Let l = 37 - a. Let f = l + -13. What is the units digit of f?
6
Suppose -m + 1407 = v, -1389 = -11*m + 10*m + 5*v. What is the hundreds digit of m?
4
Let z = 6 - 9. Let r be z + 2 + 0 - -143. Suppose r = 3*u + 46. What is the tens digit of u?
3
Suppose 0*p = -p + 24. Let x = p + -83. Let q = x - -101. What is the tens digit of q?
4
Let n be -6*((-15)/(-9) - 3). Suppose -223 + 1079 = n*c. What is the hundreds digit of c?
1
Let z(a) = -a**3 + 11*a**2 - 8*a + 8. Let s be z(10). Suppose -33*k = -s*k - 25. Suppose -f + 107 = 2*r, 2*r + k*f + 16 = 103. What is the tens digit of r?
5
Let f = 56 - 54. What is the units digit of (-1)/((-15)/20 + 1/f)?
4
Let q(l) = l**3 - 18*l**2 + l - 2. Let r be q(18). What is the hundreds digit of (-293)/(-2) - (-8)/r?
1
Let v = -93 - -95. Let j(t) = 43*t - 1. What is the tens digit of j(v)?
8
Let g be 16/24 - 4/(-3). Suppose g*t = -0 + 6. Suppose -t = -w + 12. What is the units digit of w?
5
Suppose 3*q + 7 = 5*n - 9, -2*q - 19 = -5*n. Suppose -2*m + 5*g = -152, 3*g = q*m - g - 235. What is the units digit of m?
1
What is the tens digit of 4 - -4*(-952)/64*-4?
4
Let x = 20 + -14. Let b be -4 + 3 + x - 0. Suppose -3*h - 2*c = c - 150, b*h = -4*c + 246. What is the unit
|
{
"pile_set_name": "DM Mathematics"
}
|
(2/6)/(28/168)?
2
Evaluate ((-2)/10)/(-2*(-10)/(-60)).
3/5
What is (3/16)/(318/(-424))?
-1/4
(-5)/(-2)*(-23)/(460/16)
-2
Calculate (-2)/2*(-4)/(-8)*-8.
4
What is 5/30*(-21)/28*6?
-3/4
4/2*(42/12)/(-7)
-1
Calculate (1*(-12)/(-30))/(4/(-15)).
-3/2
What is 11/(-22)*0*(-1)/(-2)?
0
What is the value of ((-9)/12)/(((-240)/(-4))/10)?
-1/8
(-7)/7*2*45/18
-5
What is the value of (10/(-5))/(2/(-35)*-5)?
-7
What is (3/(54/(-3)))/((-15)/(-60))?
-2/3
What is the value of ((-70)/(-75))/14*-3?
-1/5
What is 6/9*(-8)/16?
-1/3
What is (8/(-224))/((-2)/7)?
1/8
What is ((-56)/(-42)*(-6)/4)/(-1)?
2
Evaluate (-8)/12*18/(-4).
3
Evaluate (-4)/(-12)*2/(-8)*3.
-1/4
What is the value of 3/((-90)/12*1)?
-2/5
What is the value of 0/(-3)*-1*1/(-2)?
0
(88/(-44))/(1/(-2)*5)
4/5
7/2*6*(-5)/15
-7
What is (((-24)/42)/(-4))/((-4)/(-12))?
3/7
(1/(1*2))/(160/(-1600))
-5
What is the value of 7/((-21)/(-6))*-2?
-4
What is the value of (15/(-15))/((-44)/((-12)/3))?
-1/11
What is the value of 54/18*(-2)/(-39)?
2/13
(2/(-3))/((-830)/(-249))
-1/5
(2/(-4))/(30/(-12))
1/5
What is the value of (472/(-413))/(2/7)?
-4
What is 6/4*-8*(-4)/(-168)?
-2/7
Calculate 225/(-675)*(-12)/(-2).
-2
What is ((-3)/14)/(12/16)?
-2/7
What is ((-41)/(-123))/((-3)/72*2)?
-4
Evaluate 11/(154/56)*(-1)/5.
-4/5
Evaluate ((-1)/4)/(4/(-24))*2.
3
6/9*-2*(-12)/56
2/7
What is (-4)/(4*(-4)/6)?
3/2
Evaluate (4/(-6))/(4/(-3))*10.
5
Evaluate (2/(8/6))/(837/124).
2/9
Evaluate ((-63)/(-12))/(-7)*(-9)/(-27).
-1/4
3/((-9)/(72/8))
-3
Evaluate 30/(-12)*(-6)/3*-1.
-5
What is (-15)/(-3)*25/((-1375)/(-66))?
6
What is (6/1)/((308/14)/(-11))?
-3
(1/(-1))/(1/(-5))
5
Calculate -15*-6*2/(-36)*1.
-5
What is 4/9*(-16)/(288/(-27))?
2/3
What is (-6)/24*360/18?
-5
Evaluate (-10)/(60/27)*(-4)/(-9).
-2
What is the value of (-32)/(-10)*655/(-262)?
-8
Evaluate (2/(6*1))/(8/(-72)).
-3
Evaluate ((-1)/4)/((-66)/(-264)).
-1
What is the value of (-12)/20*4*(-35)/(-28)?
-3
2/(-1)*4/(-16)*-2
-1
Calculate (108/48)/((-6)/8).
-3
Calculate (2/18)/((-2)/(-2))*-1.
-1/9
Evaluate ((-35)/10)/(-7)*0.
0
(16/24)/(4/3)
1/2
6/(-8)*5/(75/(-20))
1
What is (6/(-10))/(3*7/(-105))?
3
What is the value of ((-4)/232)/(13/(-572)*-11)?
-2/29
Calculate 14/(10920/(-10))*-12.
2/13
Evaluate (48/54)/((-4)/(-6)).
4/3
What is 322/(-207)*(-45)/10?
7
Evaluate ((-4)/(-4))/(198/36).
2/11
10/(-46)*(-10)/225*9
2/23
2/6*96/(-176)
-2/11
(2*(-3)/6)/(220/88)
-2/5
What is the value of 4*39/104*(-4)/(-18)?
1/3
Evaluate (-125)/(-375)*(-6)/(-26).
1/13
(9*(-3)/18)/(-5)
3/10
(((-3)/(-2))/((-6)/(-16)))/2
2
What is (-4)/(-3)*24/176?
2/11
What is the value of 1*(-6)/((-18)/3)?
1
What is ((-4)/(-1))/(-1)*10/(-8)?
5
What is the value of (((-8)/110)/2)/((-41)/615)?
6/11
What is the value of ((-8)/14)/(38/133)?
-2
Evaluate (4/(-88))/(-1)*6/(-3).
-1/11
Calculate 2*15/(525/(-10)).
-4/7
(2/2)/((12/(-2))/(-18))
3
Calculate (2/(-2))/(27/(-54)).
2
Calculate (11/(-44))/((-1)/(-4)).
-1
Evaluate ((-3)/(-21))/((-3)/(-21)).
1
What is (1/(-2))/(8/48)?
-3
Calculate (-15)/10*(-6)/99.
1/11
Calculate ((6/30)/(-1))/1.
-1/5
What is ((-3)/(-9))/((16/36)/4)?
3
(((-15)/10)/(-3))/1
1/2
What is the value of (420/(-45))/(-28)*0/1?
0
What is 6/16*(-21)/((-63)/(-2))?
-1/4
(7/(-21))/((-1)/(-15))
-5
Calculate (12/(-30))/(24/(-10)).
1/6
Calculate 5/(-2)*(-5)/(275/66).
3
Evaluate 26/52*0/2.
0
Calculate (-1)/(3/4)*45/15.
-4
What is the value of ((-8)/(-7))/(24/252*9)?
4/3
What is the value of 42/70*15/3?
3
What is 3*3*(-2)/18?
-1
What is -9*10/(-180)*-6?
-3
Evaluate (0/5)/((-3)/((-9)/(-3))).
0
9/(-108)*-12*(-8)/14
-4/7
What is the value of 2/(7/21*-3)?
-2
What is the value of 4/((-8)/24*21)?
-4/7
(12/15)/(49/35)
4/7
Calculate ((-6)/3)/((-52)/4*1).
2/13
Evaluate (-2)/(18/(-3)*(-1)/(-3)).
1
((-3)/9)/(2*(-7)/126)
3
Calculate (-39)/6*3/(-39).
1/2
What is the value of (-14)/(-8)*(-2)/(-7)?
1/2
Calculate (2*1)/((-1)/((-5)/(-2))).
-5
What is the value of (-2)/8*-2*(-356)/(-178)?
1
(-36)/27*165/176
-5/4
What is ((-2)/1)/((-8)/(-12))?
-3
Evaluate 120/(-6)*((-4)/1)/16.
5
Evaluate (282/235)/((-4)/5).
-3/2
Evaluate 1*1/((-6)/6).
-1
What is the value of ((-159)/265)/(6/20)?
-2
What is 9/(-24)*(-4)/(-6)?
-1/4
What is the value of 24/16*-4*(-3)/126?
1/7
Evaluate (7*8/84)/2.
1/3
Evaluate (1/(4/4))/((-33)/11).
-1/3
What is (5/(-45)*3)/((-33)/22)?
2/9
What is -2*(2/12)/(9/(-81))?
3
(1/3)/(-2*(-17)/612)
6
Calculate (6/10)/(6/30).
3
What is ((-285)/171)/((-10)/6)?
1
((15/(-4))/(-5))/(2340/(-416))
-2/15
10/(-2)*(-5)/(-15)*-3
5
Evaluate (10/(-4))/(11/((-132)/6)).
5
(-3)/(-4)*-2*(-48)/(-18)
-4
Calculate (5/(-3))/(((-105)/(-18))/(-7)).
2
What is -10*(155/50)/(-31)?
1
What is ((-4)/1)/((-2)/(-4)*2)?
-4
Evaluate 2/(((-1)/(-1))/(-1)).
-2
What is ((-5)/25)/((-3)/(-5))?
-1/3
What is the value of (3*9/(-27))/((-6)/4)?
2/3
Calculate (-2)/((-11)/(165/50)).
3/5
Calculate (2/(-40))/((-12)/(-24)).
-1/10
What is the value of (80/64)/(35/8)?
2/7
Calculate 18/(-2)*(-8)/(576/24).
3
What is the value of (8/(-50))/(234/(-195))?
2/15
What is (-31*(-18)/279)/(-1*8)?
-1/4
Evaluate -1*26/13*10/(-4).
5
What is -1*4/((-36)/3)?
1/3
Evaluate (2/3)/(3*4/(-72)).
-4
Calculate (3/(-2)*336/(-63))/(-2).
-4
What is the value of (-3*(-2)/(-6)*4)/3?
-4/3
7/2*-2*1
-7
What is ((-3)/8)/((-9)/((-108)/12))?
-3/8
((-8)/4)/((-2)/5)
5
Calculate (-48)/60*30/(-3).
8
Calculate (129/172)/((-6)/4).
-1/2
What is (3*(-3)/(-9))/(61/61)?
1
What is 2/4*(-218)/327?
-1/3
What is the value of ((-3)/15)/((-27)/(-60)*-2)?
2/9
Calculate -1*6/28*(-52)/(-39).
-2/7
Evaluate 21/(-6)*-6*9/27.
7
(8/14)/(12/28)
4/3
What is (-10)/(-2)*(6/2)/3?
5
What is the value of (55/44)/(6/(-8))?
-5/3
Evaluate ((-8)/108*3)/(4/(-3)).
1/6
((-693)/2156)/(3/(-4))
3/7
What is the value of -15*(1/(-24))/((-5)/(-10))?
5/4
What is 4/(-6)*-3*(-4)/(-10)?
4/5
Evaluate 1/9*14/(-14).
-1/9
-4*8/4*2/(-16)
1
What is ((-14)/(-252)*6)/(2/(-30))?
-5
Evaluate ((-3)/4)/(-16*3/(-384)).
-6
Calculate (36/10)/(-3)*10/3.
-4
What is 8*(-100)/(-256)*4/(-10)?
-5/4
What is the value of (1/(-2))/((-5)/10)?
1
What is (18/32)/(-1)*(-40)/(-60)?
-3/8
What is (-15)/(-2)*7*(-6)/63?
-5
Calculate 1*(-2)/(2/3).
-3
Evaluate (23/115)/((-2)/(-10)).
1
What is (2/(-4))/(((-93)/18)/(-31))?
-3
Calculate (-72)/252*7*-1.
2
Calculate ((-15)/(-6))/((-40)/(-384)*-4).
-6
Calculate 3*((-4)/39)/(-2).
2/13
What is the value of 2/60*5*54/12?
3/4
What is the value of 2/(-4)*((-56)/(-77))/2?
-2/11
What is the value of ((6/69)/(-2))/(7/14)?
-2/23
Evaluate (245/980)/(2/32*1).
4
What is ((-20)/(-36))/(5/(-6))?
-2/3
What is the value of (14*4/14)/(14/1)?
2/7
What is the value of (184/(-92))/((4*-1)/(-2))?
-1
What is ((-2)/(-14))/((-4)/8)?
-2/7
Calculate (-39)/(1287/44)*9/28.
-3/7
What is ((-10)/(-175))/((-2)/20)?
-4/7
What is (1/3)/((21/(-27))/(-7))?
3
(-1)/10*(-14)/14
1/10
What is the value of ((-370)/(-111))/(16/6)?
5/4
Calculate (-5)/(9/(270/25)).
-6
Evaluate 0/24*-1*1.
0
Calculate (-58)/(-145)*((-20)/(-2))/(-2).
-2
Calculate ((-605)/(-242))/(5/7).
7/2
(-1)/3*-12*(-2)/112
-1/14
Calculate 6/(-5)*(-55)/(-22).
-3
10/8*(-224)/(-140)
2
Evaluate (9/3)/((-3)/2).
-2
What is (6/72)/(3/8)?
2/9
What is the value of ((-6)/27)/((-9)/9)?
2/9
Evaluate (-4)/320*5*-2.
1/8
Calculate ((35/7)/90)/(2/(-3)).
-1/12
What is the value of ((-51)/(-714))/((-2)/(-7))?
1/4
Evaluate (-8)/(-6)*36/24.
2
3*3*(-5)/(-15)
3
1/(4/(-24))*(-3)/(-3)
-6
Calculate (3/45)/((-7)/(-21)).
1/5
Calculate -5*1/(-3)*15/(-5).
-5
What is (((-4)/3)/(-2))/4?
1/6
Calculate ((-1793)/652)/((-22)/4).
1/2
What is the value of (92/(-207))/(70/(-45))?
2/7
15/9*7/((-1400)/(-72))
3/5
(6/(-60))/(3/45)
-3/2
What is the value of (15/(-50))/(8/(-32))?
6/5
Evaluate (2/7)/((-13)/(-7)).
2/13
What is the value of 0/(-4)*9/36?
0
What is ((-12)/(-28))/((-9)/6)?
-2/7
What is (-36)/(-45)*10/(-4)*2?
-4
Evaluate (2/2)/(-3)*(-27)/9.
1
What is the value of (((-455)/7)/13)/1?
-5
Calculate ((-12)/36)/(2/(-18)).
3
What is the value of 11/(-2)*4/(-11)?
2
What is 6*12/(-504)*-5?
5/7
Calculate 4/(-6)*14/((-168)/(-54)).
-3
((-17)/17)/((-1)/(-4))
-4
Calculate 1/1*1*31/31.
1
What is 1100/(-660)*3/25?
-1/5
What is 32/108*12/(-16)?
-2/9
What is (-55)/22*2*1?
-5
(4/10)/(55/55)
2/5
Calculate (6/(-75))/((-2)/10).
2/5
18/30*20/16
3/4
Evaluate ((-2)/4)/1*(-8)/(-4).
-1
What is the value of ((238/42)/17)/(1/(-12))?
-4
(-8)/(-3)*(-177)/(-236)
2
(-5)/15*(-3)/(-12)
-1/12
Calculate (-16)/
|
{
"pile_set_name": "DM Mathematics"
}
|
ainder when q is divided by 17.
10
Let a be (-12514)/(-30) - (-8 - (-732)/90). Let z = a - 304. What is the remainder when z is divided by 46?
21
Let a = 13819 + -13752. Calculate the remainder when 384 is divided by a.
49
Let l = 8 - 1. Let z(q) = 60*q - 66. Let x be z(8). Calculate the remainder when (-2)/(-3) - x/(-27) is divided by l.
2
Let f be (-4)/30 + (-7 - 308/(-60)). Let b = -100 - -154. Calculate the remainder when b is divided by (19/f)/(2/(-4)).
16
Let q = 1419 + -1376. Let o = -50 + 62. Calculate the remainder when q is divided by o.
7
Suppose 1374*g + 246984 = 1497*g. What is the remainder when g is divided by 666?
10
Suppose 3*z - 2*u = 2995 + 389, 2*z + 5*u - 2237 = 0. What is the remainder when z is divided by 27?
19
Suppose 5*d - 4*y = 362 + 324, 279 = 2*d + 3*y. What is the remainder when d is divided by 69?
0
Let a = -32129 - -32249. Calculate the remainder when 1560 is divided by a.
0
What is the remainder when 1475 is divided by (-13 - -7)/((-16)/136)?
47
Suppose -q + 50 + 13 = 0. Suppose 102*n + 579 - 2823 = 0. Calculate the remainder when q is divided by n.
19
Let a(b) = 2*b**2 + 7*b + 4. Let c be a(4). Let x = -8 + c. Let r(d) = -d**3 + 6*d + 6. What is the remainder when x is divided by r(-3)?
11
Let p(m) = 4*m + 10. Let j be p(-4). Let f(w) = -8*w + 14. What is the remainder when f(j) is divided by 15?
2
What is the remainder when 245 is divided by 142/8 - (22/(-165) + (-56)/480)?
11
Let n = -199 - -335. Let t(p) = -12*p**2 + 11*p + 18*p**2 - 7*p**2 + 5. Calculate the remainder when n is divided by t(9).
21
Let w(x) = -x**3 - 9*x**2 - 17*x - 17. Let h be w(-7). Let m = 22 - h. Suppose 0 = -3*c - 0*c + m. What is the remainder when 9 is divided by c?
3
Calculate the remainder when (5312/(-14) + (-25)/350)*-8 is divided by 169.
163
Let g(k) = 4*k - 51. Suppose 112 + 168 = 2*l. What is the remainder when l is divided by g(16)?
10
Let m = -147 + 149. Calculate the remainder when (-8)/(-16) - (-55)/2 is divided by m - (1 + -14)/(-3 - -4).
13
Let o = 29 - -86. Let x = -31 - -35. Suppose 4*z + 4*u - 97 - 55 = 0, x*z - 5*u - 161 = 0. Calculate the remainder when o is divided by z.
37
Calculate the remainder when 4666/8 + (-73)/292 is divided by 83.
2
Let c = -17411 - -17530. Calculate the remainder when c is divided by 56.
7
Suppose n - 244 = -5*l + 287, -3*l = 5*n - 301. What is the remainder when 208 is divided by l?
101
Suppose 0 = -m + 5*b + 174, -2*m + 3*m - b - 170 = 0. What is the remainder when m is divided by 130/(-182) + 2604/147?
16
Let k(a) = 41 + 5*a**2 - 7*a + 15*a**2 - 27*a + 14*a - a**3. What is the remainder when k(19) is divided by 20?
2
Let f = 38 - 27. Let j(s) = 42*s**3 - 4*s**2 - s. Let w be j(-1). Calculate the remainder when (-213)/w*9 - 2/(-5) is divided by f.
10
Let w = -27208 - -48375. Calculate the remainder when w is divided by 14.
13
Let s(o) = 30 + o**3 - 15*o**2 + 12*o + 5*o**2 - 3 - 2*o**3. Let l be s(-11). Let k = 21 + l. Calculate the remainder when k is divided by 20.
17
Suppose 0 = -89*b + 86*b + 36. Let d(o) = -5*o**3 - b + 4*o**3 - o + 5*o**2 - 8*o**2. Calculate the remainder when 23 is divided by d(-4).
7
Suppose 0 = 4*x + 4*o - 6736, 0 = -x - 3*x + 3*o + 6701. What is the remainder when x is divided by 112?
111
Suppose -z = 3*z - 44. Suppose 5*a - 67 = -2*w, -3*w = -34*a + 29*a + 62. What is the remainder when z + -3 + (-18)/(-3) is divided by a?
1
Suppose 19*m - 22*m - 4*s + 232 = 0, -227 = -3*m - 5*s. Calculate the remainder when 86/6 + (-4)/(-6) is divided by ((m/10)/(-7))/(4/(-30)).
6
Suppose 0 = j - 18 + 3. Suppose 0 = -49*y + 15*y - 209*y + 17010. Calculate the remainder when y is divided by j.
10
Suppose 4*a - 4127 = 3*d, -2*d - 596 = -a + 432. Suppose 0 = 8*w - 934 - a. What is the remainder when w is divided by 13?
12
Let m be (2/6)/(28/336). Suppose -f - m*b + 6*b + 34 = 0, 3*f - 66 = -3*b. What is the remainder when 90 is divided by f?
12
Calculate the remainder when 324 is divided by (-8 - (-7 + (-3)/6))*-230.
94
Let w be ((-21)/14)/(9/(-84)). Suppose -w*l - 31 = -1109. What is the remainder when 226 is divided by l?
72
Let y be (-2)/10 - (7/(-35) + 0). Suppose y = v + a - 12, -4*a - 36 = -3*v - 8*a. Let w = 173 + -90. What is the remainder when w is divided by v?
11
Let y(d) = d**3 - 2*d**2 + 3*d - 30. Calculate the remainder when y(5) is divided by 5.
0
Suppose -2708*d + 2560*d + 13172 = 0. Calculate the remainder when 316 is divided by d.
49
What is the remainder when 1900 is divided by (23/(-23) - 11/(-3))*33?
52
What is the remainder when 288 is divided by (-774)/(-4) - 30/140*7?
96
Let a(t) = 1435*t. Let c be a(-9). Calculate the remainder when c/(-60) + 0 + (-3)/12 is divided by 31.
29
Suppose -i + 2*i = 5*j - 797, 2*i + 154 = j. Let q = -46 + -27. Let s = q + j. Calculate the remainder when s is divided by 15.
12
Suppose 0 = 35*g - 5763 + 1633. Calculate the remainder when 300 is divided by g.
64
Let g(o) = 2*o**2 - 56*o + 299. What is the remainder when g(29) is divided by 33?
27
Suppose 112*j = 114*j - 3*y - 25, -3*j = -4*y - 35. Calculate the remainder when 486 is divided by j.
1
Suppose -q - 4*q = 4*k - 22, -k = -3. Let n = -480 - -444. Calculate the remainder when 50 is divided by (-3)/(n/(-52))*(q + -5).
11
Let b(v) = 10 - 16 + 54 - 16*v + 5. Calculate the remainder when b(-7) is divided by 28.
25
Suppose 3*h + 5 = -4*i - i, 0 = -i - 3*h - 13. Suppose 18 = i*c - 0. Calculate the remainder when c is divided by (5/(-2))/(8/(-16)).
4
Let u be (-9890)/23*(1 + 6/(-4)). Let m = u - 198. Calculate the remainder when 48 is divided by m.
14
Suppose 3*g = -323 + 2996. What is the remainder when g is divided by 149?
146
Let b = -6409 + 7748. Calculate the remainder when b is divided by 10.
9
Suppose 6 - 10 = -2*g. Let x(a) = -a**3 - g*a - 10*a - 2*a - 8 + 11*a**2. Calculate the remainder when x(6) is divided by 13.
10
Let m(h) = -h**3 + 4*h**2 + 11*h - 18. Let b be m(6). Calculate the remainder when 70 is divided by 18/(-8)*(20 + b).
7
Suppose -5*m - 4*f + 2*f + 931 = 0, -5*m + 3*f = -941. Let d = m - 53. Suppose -126 = -3*p - 24. Calculate the remainder when d is divided by p.
32
Suppose 8*c - 61 - 35 = 0. Let l be (9 + 1)/(0 - -1). Calculate the remainder when (c/l)/((-33)/(-220)) is divided by 3.
2
Let t be (-1)/(1*(-1)/84). Let s = 128 - 113. Suppose -s*z + t = -13*z. What is the remainder when 80 is divided by z?
38
Let y(t) = -21*t + 3807. Calculate the remainder when 7152 is divided by y(68).
15
Let a(f) = 2*f**3 - 12*f**2 + 28*f - 55. Calculate the remainder when a(7) is divided by 9.
5
Suppose 6 - 5 = -2*n - 5*r, -5*n + 4*r = -14. Let k be 12/(4 + -1) - n. Suppose 13*a - 495 = -k*a. What is the remainder when a is divided by 13?
7
Calculate the remainder when 18/117 - 57/(-52) - 1694/(-8) is divided by 124.
89
Let f = 39116 - 39102. What is the remainder when 2/(-6) - (-1254)/9 is divided by f?
13
Suppose 616 + 96 = 9*d + 46. What is the remainder when 118 is divided by d?
44
Suppose -2*u + 30 = 4*u. Suppose -3*n - 20 + 151 = 5*x, -205 = -u*n - 5*x. What is the remainder when 119 is divided by n - (-3)/6*6?
39
Suppose 5*l = 4*i, -i + 13 = 4*l - 8. Suppose 365 = i*x + 5*o - 8*o, 5*x + 4*o = 365. Let p = 7 - -18. What is the remainder when x is divided by p?
23
Let x = 28610 - 21771. Calculate the remainder when x is divided by 236.
231
Suppose 3*a = -5*b - 135, 5*b - a - 2*a + 135 = 0. Let u = -10 - b. What is the remainder when 103 - 7/((-21)/(-12)) is divided by u?
14
Let g be (-13 - -1)*(1 - 0). Let r = -2 - g. Let n(f) = 71*f + 17. What is the remainder when n(0) is divided by r?
7
Suppose -5*d = -9 - 1, 0 = q + 2*d + 496. Let h = -485 - q. Calculate the remainder when 163 is divided by h.
13
Suppose 8*d - 9*d + 462 = -4*y, 0 = 4*d - y - 1878. Calculate the remainder when d is divided by 69.
56
Let v(z) = -2*z**3 + 26*z**2 + 67*z + 65. Calculate the remainder when v(-14) is divided by 6.
3
Let t(a) = 7*a**2 - 39*a - 373. What is the remainder when 5987 is divided by t(-6)?
111
Let s be (-59 - -58)*-2*1. Suppose -s*p - 61 = 4*n - 203, 0 = -4*n + 20. What is the remainder when 422 is divided by p?
56
Let l be 575/161 + 4/(-7). Suppose 0 = -4*c + 2*v + 156 + 258, -3*v = l*c - 324. Calculate the remainder when 415 is divided by c.
100
Suppose -5*h = -3*i -
|
{
"pile_set_name": "DM Mathematics"
}
|
93
Sort 2, -1, -2, 5397, 1 in descending order.
5397, 2, 1, -1, -2
Put 2/7, -0.3, 6, -1.3, 0.4 in descending order.
6, 0.4, 2/7, -0.3, -1.3
Sort 1/4, 874.9, 3 in decreasing order.
874.9, 3, 1/4
Sort -2, -14195, 3/7 in ascending order.
-14195, -2, 3/7
Put -2, -17, 2, -3/7, 3, 401 in ascending order.
-17, -2, -3/7, 2, 3, 401
Sort -6, 5382, 11, -2, 5.
-6, -2, 5, 11, 5382
Sort -110.8, -108, 1/3, 3 in ascending order.
-110.8, -108, 1/3, 3
Sort 0.0726, 2/15, 8.
0.0726, 2/15, 8
Put -0.3, 10.39, 3, -3, 4, -7 in increasing order.
-7, -3, -0.3, 3, 4, 10.39
Sort 5, -1/6, 12, 1084/7 in increasing order.
-1/6, 5, 12, 1084/7
Sort -1003, 17, -6 in descending order.
17, -6, -1003
Sort -105, 3, 1332 in descending order.
1332, 3, -105
Sort 0.3265, 0, -0.145 in decreasing order.
0.3265, 0, -0.145
Put -3, -340, 109, 5 in descending order.
109, 5, -3, -340
Put -26, -13/4, -10 in ascending order.
-26, -10, -13/4
Sort -0.2, -0.3, -1/2069 in increasing order.
-0.3, -0.2, -1/2069
Sort 2, 6, -9731.
-9731, 2, 6
Put -14, -4, -2, 1017/22 in increasing order.
-14, -4, -2, 1017/22
Put 40, -1484, 3 in descending order.
40, 3, -1484
Sort -40, -5, -23, 12 in decreasing order.
12, -5, -23, -40
Sort -4, -29, 559 in ascending order.
-29, -4, 559
Sort 1436, 289, 4 in descending order.
1436, 289, 4
Sort 4, 303, 0.5, -59.
-59, 0.5, 4, 303
Put -2, -241, 0.0123 in increasing order.
-241, -2, 0.0123
Sort -0.96, -4/7, 3, 67, -0.1 in ascending order.
-0.96, -4/7, -0.1, 3, 67
Sort -6.3, -1, 273.9 in increasing order.
-6.3, -1, 273.9
Sort 3, 0.27, -3, -95 in descending order.
3, 0.27, -3, -95
Sort -5, -367, 7, -4 in decreasing order.
7, -4, -5, -367
Sort 0, -3, 2, 3/2, 242, 10/9.
-3, 0, 10/9, 3/2, 2, 242
Sort -5, -3, 63, 0, -1, 4 in ascending order.
-5, -3, -1, 0, 4, 63
Sort 1, -23, 191 in decreasing order.
191, 1, -23
Sort 1, -3, 1797, 5, -1, 0 in decreasing order.
1797, 5, 1, 0, -1, -3
Put -2, 1, 19, -103, 18 in ascending order.
-103, -2, 1, 18, 19
Sort -12, -83, -5, 3, -3.
-83, -12, -5, -3, 3
Sort -55, 4/23, 3, 0, -0.4.
-55, -0.4, 0, 4/23, 3
Sort -2, -1, 98, 154.
-2, -1, 98, 154
Sort 6.56, -4, 0.3, -1, 4.2 in descending order.
6.56, 4.2, 0.3, -1, -4
Sort 5, 3, -3, -75, -23, 1 in ascending order.
-75, -23, -3, 1, 3, 5
Sort 1, -0.1, -2834.4 in descending order.
1, -0.1, -2834.4
Sort 5, -1083, 0.
-1083, 0, 5
Put 24, 4, -30, -5, 1 in ascending order.
-30, -5, 1, 4, 24
Sort -0.05, 0.4, -1, -1904.
-1904, -1, -0.05, 0.4
Sort -1, 117130/11, 3.
-1, 3, 117130/11
Sort -8, 3, -5, 0 in ascending order.
-8, -5, 0, 3
Sort 7, -18, 84, 3.
-18, 3, 7, 84
Put 2, -2, -4935.2 in decreasing order.
2, -2, -4935.2
Sort 30, -5, -1, -4, 574 in increasing order.
-5, -4, -1, 30, 574
Put 4, 3, -1, 361, -5 in ascending order.
-5, -1, 3, 4, 361
Sort -0.03, -30, 16 in descending order.
16, -0.03, -30
Sort -106, 417, -3, 3 in descending order.
417, 3, -3, -106
Sort 1, 0.37, -4/33 in decreasing order.
1, 0.37, -4/33
Sort -3, -18, 3, 375, 0 in decreasing order.
375, 3, 0, -3, -18
Put 1/5, -0.1, -24, -4/2811 in decreasing order.
1/5, -4/2811, -0.1, -24
Put 3/2, -2/611, 15 in decreasing order.
15, 3/2, -2/611
Sort -17, -33, 3, 16.
-33, -17, 3, 16
Sort 29.1, 6/5, 2, 0.3 in ascending order.
0.3, 6/5, 2, 29.1
Sort 0.5, 4/7, -327 in descending order.
4/7, 0.5, -327
Put -1, -979, -14, 5, 4 in ascending order.
-979, -14, -1, 4, 5
Put 2/67, -11, 0, -0.1 in decreasing order.
2/67, 0, -0.1, -11
Sort -4, -9, -1385 in decreasing order.
-4, -9, -1385
Put 1.5, 3, -6, -75 in ascending order.
-75, -6, 1.5, 3
Put 3/7, -18, -2/11, 5, 0, 48 in ascending order.
-18, -2/11, 0, 3/7, 5, 48
Sort 1/2, 0.4, 1212.
0.4, 1/2, 1212
Put 1/5, -0.559, -3, -0.3, -0.2, 7 in descending order.
7, 1/5, -0.2, -0.3, -0.559, -3
Put -3, 3/8, 4/25 in ascending order.
-3, 4/25, 3/8
Sort -0.07, -3, 3, 1/14, -2/21.
-3, -2/21, -0.07, 1/14, 3
Sort 3, -7, -4, 3618, 1.
-7, -4, 1, 3, 3618
Sort 1, 8552, 4, 3 in ascending order.
1, 3, 4, 8552
Put -7.21, 0.2, 0.3, -6 in decreasing order.
0.3, 0.2, -6, -7.21
Sort 2/11, 161.6, -3/4 in ascending order.
-3/4, 2/11, 161.6
Sort 7, -2, 397 in ascending order.
-2, 7, 397
Sort -11, 9611, 0.
-11, 0, 9611
Sort 237, 9, -2, 4, -1, 7 in increasing order.
-2, -1, 4, 7, 9, 237
Put -13, 3, 2, 4, -4, -315 in descending order.
4, 3, 2, -4, -13, -315
Sort -5, 17, 2763, -4, -2 in decreasing order.
2763, 17, -2, -4, -5
Put 23, 2, -4, 5, -0.3, -20 in descending order.
23, 5, 2, -0.3, -4, -20
Sort 40621, 3/2, -2 in ascending order.
-2, 3/2, 40621
Sort -2, 15, -1, -3, 2, 4.
-3, -2, -1, 2, 4, 15
Sort -3, 4, 0, 102, 5.
-3, 0, 4, 5, 102
Put -6810, -5, 2/3, 0 in ascending order.
-6810, -5, 0, 2/3
Put 5, -3, 41935, 3 in increasing order.
-3, 3, 5, 41935
Sort -0.2, -3, 1, -6900 in descending order.
1, -0.2, -3, -6900
Put 31, 3768, 1 in increasing order.
1, 31, 3768
Sort 2, -3088, 0.
-3088, 0, 2
Sort 0, -10, 5, -18, 11, 3 in descending order.
11, 5, 3, 0, -10, -18
Sort -1083, 4/7, -0.33, -2.
-1083, -2, -0.33, 4/7
Sort 12, 0.03, -13, -1/2, 1/3 in descending order.
12, 1/3, 0.03, -1/2, -13
Put 6, 1, 3, 23, 4 in increasing order.
1, 3, 4, 6, 23
Put -5, 6, -1495 in descending order.
6, -5, -1495
Sort -3, 2463, -9.
-9, -3, 2463
Sort -2/11, -5, 13, -2/3, -2.22.
-5, -2.22, -2/3, -2/11, 13
Sort 24609, -4, -3, -6 in descending order.
24609, -3, -4, -6
Put 0.5, -0.9, 17/307, -3 in descending order.
0.5, 17/307, -0.9, -3
Sort 2, -5, 19, 4, -1318 in descending order.
19, 4, 2, -5, -1318
Sort 112, 0, 60 in decreasing order.
112, 60, 0
Put 1, 6, 4, -2229, -2 in increasing order.
-2229, -2, 1, 4, 6
Sort -1228978, 5, 4 in increasing order.
-1228978, 4, 5
Put -1, 1, -0.1, -1.7, 1/5 in descending order.
1, 1/5, -0.1, -1, -1.7
Sort -23.1, 4/3, 0, 240, -3 in descending order.
240, 4/3, 0, -3, -23.1
Sort 7, 6306, 3 in descending order.
6306, 7, 3
Sort -9, 0, -6, 11 in ascending order.
-9, -6, 0, 11
Put 357, 4, 2 in descending order.
357, 4, 2
Sort 6437, -3, 0 in decreasing order.
6437, 0, -3
Sort 1, -49, -1, -14, 4 in decreasing order.
4, 1, -1, -14, -49
Put -179, 5, 117 in decreasing order.
117, 5, -179
Put 36, 1/32, -0.2, 0 in increasing order.
-0.2, 0, 1/32, 36
Sort 6, 1, -12, -1, -5 in descending order.
6, 1, -1, -5, -12
Put -14, 5, 65, -9 in decreasing order.
65, 5, -9, -14
Put -2.6, -0.16, -21 in increasing order.
-21, -2.6, -0.16
Put 1, -24, -5, -3, 8 in increasing order.
-24, -5, -3, 1, 8
Put 19033, 4, 2 in ascending order.
2, 4, 19033
Put -543.1, 2, -5 in ascending order.
-543.1, -5, 2
Put -3, -0.2, 31, -0.037 in increasing order.
-3, -0.2, -0.037, 31
Put -29, -106, -4, 3 in decreasing order.
3, -4, -29, -106
Put -0.5, 5, -79.63 in descending order.
5, -0.5, -79.63
Put -6, -5, -2, 7, -18 in decreasing order.
7, -2, -5, -6, -18
Put 2, 167, -4, -3 in increasing order.
-4, -3, 2, 167
Sort 2/5, 5, -2, 0.2, -12.6.
-12.6, -2, 0.2, 2/5, 5
Put -3, -4137, 1 in decreasing order.
1, -3, -4137
Sort 3/8, 105810, -1/3 in descending order.
105810, 3/8, -1/3
Put 0, -5, 22, -66 in ascending order.
-66, -5, 0, 22
Put 5, 0.3, -0.515, 0.06 in descending order.
5, 0.3, 0.06, -0.515
Put 3, 0, 6192, 5, 4 in decreasing order.
6192, 5, 4, 3, 0
Put 39, 37, 2, -4 in decreasing order.
39, 37, 2, -4
Put 10/3, -5, 0.31, -28 in ascending order.
-28, -5, 0.31, 10/3
Put 12, -1, 94, 9, 5, -8 in decreasing order.
94, 12, 9, 5, -1, -8
Sort 0, 972, -26 in decreasing order.
972, 0, -26
Sort -1, 20.74, 0.08.
-1, 0.08, 20.74
Sort -4, -12, 4, -111 in increasing order.
-111, -12, -4, 4
Put 24, -8, -2, -14, 3 in ascending order.
-14, -8, -2, 3, 24
Sort 1/9, 0.02, -11, -141, 4 in decreasing order.
4, 1/9, 0.02, -11, -141
Put -2, -10/3, 508 in decreasing order.
508, -2, -10/3
Put -5, -7/2, 2, -2/9, -19, -32 in increasing order.
-32, -19, -5, -7/2, -2/9, 2
Put -7, -5, -1, 2064 in descending order.
2064, -1, -5, -7
Sort -1, -4349, 2.
-4349, -1, 2
Sort -4, -1, 3, -42, 11 in decreasing order.
11, 3, -1, -4, -42
Put -149, 38, -4, -1 in descending order.
38, -1, -4, -149
Put -219.9, 5, -3, -0.5, 0.5 in descending order.
5, 0.5, -0.5, -3, -219.9
Sort 7, -1.48, -0.4, 1/2, 0.2 in increasing order.
-1.48, -0.4, 0.2, 1/2, 7
Sort 5, 0.9, -3, 2274, 4/5 in descending order.
2274, 5, 0.9, 4/5, -3
Sort -2/3, -4, 0.5, 6.2, 5.
-4, -2/3, 0.5, 5, 6.2
Sort 0, 172, 6 in increasing order.
0, 6, 172
Sort -1456, -398, 2 in descendin
|
{
"pile_set_name": "DM Mathematics"
}
|
6
Calculate the greatest common factor of 40 and 3.
1
Calculate the highest common divisor of 90 and 2376.
18
Calculate the highest common factor of 49 and 31.
1
Calculate the highest common factor of 78 and 1378.
26
What is the greatest common divisor of 516 and 756?
12
What is the greatest common factor of 494 and 754?
26
What is the greatest common factor of 8832 and 72?
24
What is the greatest common divisor of 387 and 215?
43
What is the highest common divisor of 4901 and 7917?
377
Calculate the highest common divisor of 494 and 190.
38
Calculate the greatest common divisor of 2490 and 90.
30
What is the greatest common divisor of 1243 and 11?
11
What is the greatest common divisor of 172 and 2623?
43
What is the highest common divisor of 836 and 76?
76
What is the greatest common divisor of 124 and 186?
62
Calculate the highest common divisor of 2596 and 132.
44
What is the greatest common factor of 30 and 10935?
15
Calculate the highest common factor of 10 and 4710.
10
Calculate the highest common factor of 81 and 11.
1
Calculate the highest common factor of 40 and 85240.
40
Calculate the greatest common factor of 18 and 1656.
18
What is the greatest common factor of 2464 and 154?
154
Calculate the highest common factor of 2 and 6098.
2
Calculate the highest common factor of 210 and 54.
6
What is the greatest common factor of 6 and 729?
3
Calculate the greatest common divisor of 200 and 10.
10
Calculate the greatest common divisor of 66 and 506.
22
What is the greatest common divisor of 1059 and 3?
3
Calculate the greatest common divisor of 378 and 486.
54
What is the greatest common divisor of 40 and 36?
4
Calculate the highest common divisor of 12 and 104.
4
Calculate the greatest common divisor of 2 and 29.
1
What is the greatest common factor of 165 and 6699?
33
What is the greatest common divisor of 427 and 3904?
61
What is the greatest common factor of 2668 and 184?
92
Calculate the highest common divisor of 99 and 693.
99
What is the highest common factor of 2 and 256?
2
Calculate the greatest common factor of 85 and 1751.
17
Calculate the highest common divisor of 1909 and 1.
1
Calculate the greatest common factor of 4042 and 86.
86
Calculate the greatest common divisor of 14180 and 40.
20
Calculate the highest common divisor of 9165 and 390.
195
What is the highest common divisor of 44 and 550?
22
What is the greatest common divisor of 455 and 4004?
91
Calculate the highest common factor of 3 and 1131.
3
What is the greatest common factor of 380 and 20?
20
What is the greatest common factor of 243 and 27?
27
Calculate the highest common divisor of 27547 and 326.
163
What is the highest common factor of 1134 and 2754?
162
What is the greatest common factor of 15 and 37?
1
What is the highest common factor of 13 and 16627?
13
Calculate the greatest common factor of 25 and 205.
5
Calculate the highest common divisor of 13 and 299.
13
What is the greatest common factor of 5565 and 105?
105
What is the greatest common factor of 28 and 1757?
7
What is the highest common divisor of 8 and 15608?
8
Calculate the highest common factor of 640 and 880.
80
What is the greatest common divisor of 209 and 220?
11
What is the greatest common factor of 3 and 51?
3
What is the greatest common divisor of 726 and 5929?
121
What is the greatest common divisor of 846 and 9?
9
Calculate the greatest common factor of 325 and 65.
65
What is the greatest common factor of 327 and 8938?
109
What is the highest common factor of 456 and 24?
24
Calculate the highest common factor of 55 and 20.
5
Calculate the highest common divisor of 10 and 120.
10
What is the highest common divisor of 1952 and 96?
32
Calculate the greatest common divisor of 5832 and 72.
72
What is the highest common factor of 917 and 7?
7
What is the highest common factor of 16383 and 129?
129
What is the highest common divisor of 32 and 2984?
8
What is the greatest common divisor of 12 and 27?
3
What is the highest common divisor of 69 and 2139?
69
What is the greatest common divisor of 765 and 17?
17
Calculate the greatest common divisor of 60 and 108.
12
What is the greatest common divisor of 9665 and 5?
5
What is the highest common factor of 174 and 78?
6
What is the highest common factor of 142 and 6887?
71
What is the greatest common divisor of 12519 and 117?
117
Calculate the highest common factor of 11 and 7183.
11
Calculate the greatest common divisor of 210 and 1344.
42
Calculate the highest common factor of 285 and 255.
15
What is the greatest common factor of 13 and 2561?
13
Calculate the highest common factor of 3 and 7.
1
Calculate the highest common divisor of 364 and 308.
28
What is the greatest common divisor of 81 and 54?
27
What is the greatest common divisor of 2263 and 155?
31
Calculate the greatest common divisor of 111 and 592.
37
What is the highest common divisor of 72 and 99?
9
What is the highest common factor of 42 and 42?
42
What is the greatest common factor of 1207 and 17?
17
Calculate the highest common factor of 855 and 180.
45
What is the highest common factor of 10 and 5515?
5
What is the greatest common factor of 2907 and 102?
51
What is the highest common factor of 72 and 10980?
36
What is the highest common factor of 42 and 162?
6
Calculate the highest common factor of 506 and 1738.
22
Calculate the highest common divisor of 21 and 357.
21
What is the greatest common factor of 154 and 14?
14
Calculate the highest common factor of 340 and 860.
20
What is the highest common divisor of 832 and 16?
16
What is the greatest common factor of 532 and 448?
28
What is the greatest common divisor of 156 and 2106?
78
What is the highest common factor of 9345 and 4895?
445
Calculate the greatest common factor of 966 and 92.
46
Calculate the greatest common divisor of 1352 and 16.
8
Calculate the greatest common divisor of 168 and 192.
24
Calculate the highest common divisor of 266 and 14.
14
Calculate the highest common factor of 85 and 15.
5
What is the greatest common factor of 1369 and 296?
37
What is the greatest common divisor of 250 and 75?
25
Calculate the greatest common factor of 7 and 7.
7
What is the highest common factor of 3260 and 20?
20
Calculate the highest common divisor of 23 and 2461.
23
Calculate the greatest common factor of 469 and 67.
67
What is the greatest common divisor of 22 and 1210?
22
What is the greatest common factor of 37011 and 219?
219
What is the greatest common factor of 378 and 448?
14
Calculate the highest common divisor of 70 and 170.
10
Calculate the greatest common factor of 66 and 18.
6
Calculate the greatest common divisor of 140 and 665.
35
What is the highest common factor of 140 and 12530?
70
What is the highest common divisor of 3111 and 61?
61
What is the highest common factor of 49 and 14357?
49
Calculate the greatest common divisor of 405 and 90.
45
Calculate the highest common divisor of 33 and 5302.
11
What is the highest common factor of 1188 and 378?
54
Calculate the highest common divisor of 2 and 18.
2
Calculate the highest common factor of 4275 and 135.
45
Calculate the highest common divisor of 40 and 15.
5
What is the highest common factor of 143 and 187?
11
What is the highest common factor of 21 and 1?
1
Calculate the greatest common factor of 848 and 16.
16
What is the greatest common divisor of 51 and 9809?
17
What is the greatest common divisor of 30 and 276?
6
Calculate the highest common divisor of 4 and 1174.
2
What is the greatest common factor of 32 and 32?
32
What is the highest common factor of 810 and 738?
18
Calculate the greatest common divisor of 84079 and 83.
83
What is the greatest common divisor of 441 and 9?
9
Calculate the highest common factor of 115 and 368.
23
What is the highest common factor of 13752 and 72?
72
Calculate the highest common divisor of 3780 and 810.
270
What is the greatest common factor of 25 and 295?
5
What is the highest common divisor of 470 and 30?
10
Calculate the greatest common divisor of 104 and 299.
13
Calculate the greatest common divisor of 279 and 27.
9
Calculate the highest common factor of 399 and 651.
21
Calculate the highest common divisor of 3752 and 1232.
56
What is the highest common factor of 403 and 130?
13
Calculate the highest common fact
|
{
"pile_set_name": "DM Mathematics"
}
|
be 12/92*q/(-3). Are 1 and v nonequal?
True
Let k = -0.88 + -0.12. Which is smaller: k or 2?
k
Let g = -32 - -24. Which is smaller: g or -7?
g
Suppose 2*u = 5*u + 3. Let z be (-1 - (-13)/9)/2. Which is smaller: u or z?
u
Suppose -2*n + 6 = -5*n. Which is bigger: -3/5 or n?
-3/5
Suppose -1 = -3*u - 4. Let i = -2 - u. Does i = -2?
False
Let m = -1.3 - -0.3. Let i = -13 - -9. Let s = -2 - i. Is m at least as big as s?
False
Let q be (-4)/(-26) + (-280)/3510. Do -0.1 and q have different values?
True
Suppose 2*c - 3*l - 11 = -50, l + 7 = -c. Let g = -9 + 16. Let o be (1/g)/(c/14). Does -1 = o?
False
Let z(x) = -5*x - 5. Let f(k) = -k. Let i(v) = -4*f(v) + z(v). Let c be i(-4). Is c < -4/7?
True
Let v(f) = f**2 + 2*f - 2. Let q be v(-3). Let x be q*-2*1/(-2). Let w = -759.7 + 759. Are x and w equal?
False
Let d be (-9)/(-18) + (-138)/4. Let n = -25 - d. Which is greater: n or 11?
11
Let x be 12/(-9)*9/6. Suppose 3*f - 3 = -6. Let r = 1 - f. Which is smaller: x or r?
x
Let h be 6/27 - (-275)/(-630). Are 1 and h unequal?
True
Let b(n) = -n**2 - n. Let v be b(-1). Let c be ((-2)/(-33) + 0)*1. Which is smaller: c or v?
v
Let n = 2129/1212 + -2/303. Which is bigger: n or 2?
2
Let z = 3 + -2.9. Let x = 368 - 370.98. Let q = x - 0.02. Is q not equal to z?
True
Let s(i) = i**2 + 12*i + 4. Let g = 15 + -27. Let b be s(g). Suppose -n = -b*v - 12, 0 = -6*v + v + 3*n - 22. Which is greater: v or -2/3?
-2/3
Let q = -0.9 - -1. Let k = 1.11 - 1.11. Which is smaller: k or q?
k
Let z = -9 + 9. Let k be z/(1 + -1 + 2). Is k equal to -1/2?
False
Let m be -7*2/(-6)*3. Let z be (-5)/m*(-6)/(-15). Which is bigger: z or 1?
1
Suppose -4*w = w - 20. Suppose -w = 4*x - 0. Let v be (-2 + (-14)/(-4))/6. Which is greater: v or x?
v
Let i = -7 + 13. Suppose u = i*u - 40. Is u at least 9?
False
Let d be (4/(-5))/((-4)/10). Suppose 3*x = -d*x + 30. Let p be (420/300)/((-2)/(-10)). Which is smaller: p or x?
x
Let x = -9 + 5. Let o = 0.1 - 1.1. Let i = o + x. Are 0 and i nonequal?
True
Let l be (-2)/(-7) + (-1040)/2464. Is l greater than -1?
True
Let u = 1.84 - -0.16. Do -0.01 and u have the same value?
False
Let q(u) = u**3 + 2*u**2 - 3*u + 2. Let o be q(-3). Suppose -2*i = -4*i - b - 4, -4*i + 2*b = 8. Let m be (o + -1 + -1)/i. Which is smaller: m or 1/2?
m
Suppose 2*f = f - 1. Suppose -2*g + n = 2, -4*g + 1 = -n + 3. Let p = f + g. Which is smaller: -1/3 or p?
p
Let i = -3 - -2.8. Let q = -0.8 + i. Let x = 2.1 + -2. Which is smaller: q or x?
q
Let u(i) = -5*i - 3. Let j be u(-3). Suppose 7 = -4*w - 5*v, 0 = 4*v + j - 0. Which is smaller: -2 or w?
-2
Let v be (1/(-9))/(1 + -8). Which is greater: v or 0?
v
Let m be 4/(-6)*3/(-1). Suppose 0 = 2*a + m*x - 4, a - 2*x - 1 = 2*a. Suppose -2*b = -3*v - 4*b + a, 1 = 3*v + 4*b. Which is smaller: v or 2?
2
Let a be (-2 + 2)/(-2) - -3. Let y = 5 - a. Let c be (96/15)/(-4) + y. Which is greater: c or 1?
1
Let s be (-9)/(-2)*28/105. Let c = 8 - 6. Is c at most s?
False
Let c(f) = -8*f - 36. Let j be c(-5). Which is smaller: -4 or j?
-4
Let k be 8/(-9)*54/36. Which is smaller: 0 or k?
k
Let o = 3.2 - 3. Let q = 110 - 110.2. Which is bigger: o or q?
o
Let n be 225/30*(-40)/42. Does -7 = n?
False
Suppose -2*z - 65 = -7*z. Suppose -5 = -2*l + z. Let u be (-3)/l + (-2)/(-3). Is u bigger than -1?
True
Let u be (9/(-5))/((-1)/5). Let p be 222/24 - (12/(-16) - -1). Is u greater than or equal to p?
True
Let o = -3 + 4. Let c be 6 + -3 - (3 - 0). Is o > c?
True
Let b = -43 + 30. Let n = 25 + b. Suppose n = 5*i + 2. Is i less than or equal to -0.1?
False
Suppose -3*c - 15 = 3*m, -3*c = -4*m - 14 + 1. Is c >= -4/9?
False
Let w = 3.7 - -1.3. Let j = w + -2. Let f = -27/52 - -10/13. Is f less than j?
True
Suppose -6*b + 86 = -16. Is 18 less than or equal to b?
False
Let l = 5 + -3. Let q be (-374)/4*l/4. Let y = 47 + q. Is y equal to 1?
False
Let w be (-8)/(-7) + (-6)/6. Let f = w - 23/14. Do f and -2 have different values?
True
Let q = 3 + -3.09. Let y = -0.01 + q. Is 8 smaller than y?
False
Let l = 62 + -62. Let d(x) = 2*x**2 - 1. Let u be d(1). Which is smaller: l or u?
l
Let v(m) = m**3 + 4*m**2 - 7*m - 7. Let w be v(-5). Suppose 5*h - w = 17. Suppose 3*x - 1 = -h. Is -2 smaller than x?
True
Suppose 15 = 3*b - 8*b. Suppose -2 = -2*s - 8. Is s > b?
False
Let m(x) = x**3 - 2*x**2 + 2*x - 2. Let v be 1*3/(-6)*-4. Let w be m(v). Which is smaller: 5/2 or w?
w
Let y = -43 - -36. Is y at most as big as -4?
True
Let q = 0.82 + 0.18. Let p be 2/(-27)*(-9 + 3). Which is smaller: q or p?
p
Let d be (-3 + 1)/(2/(-1)). Let l(v) = -4*v - 2. Let f be l(-1). Which is smaller: d or f?
d
Let x(h) be the second derivative of 3*h**5/10 - 5*h**4/12 + h**3/3 + h**2/2 - 3*h. Let r be x(3). Let v = -1365/11 + r. Do v and 1/4 have the same value?
False
Let s be (0/(-3))/(-3) + 3. Suppose 0 = -s*m - 2*m. Is 1/13 smaller than m?
False
Let r = 69/26 - 5/2. Let q be -4 - (-9 - (2 - 8)). Are r and q non-equal?
True
Let y be 132/18 - (-2)/(-6). Suppose 3 + y = -2*h. Is h < -3?
True
Suppose b + 3*w = -2*b + 132, -32 = -b - 4*w. Let d = b - 527/11. Does d = -1?
False
Let l be (1285/(-25))/(4/(-3)). Let o be ((-151)/5)/((-4)/(-5)). Let u = l + o. Which is smaller: 0 or u?
0
Suppose 4*v - 15 = 3*g, -3*g = v - 0*v. Is 1 less than v?
True
Let t = 43 - 43.1. Is t > 56?
False
Let b = 0.077 + -12.677. Let o = -4.7 - b. Let q = o + -8. Which is smaller: q or -5?
-5
Let j(y) = y**2 + y + 12. Let f be j(8). Is f greater than or equal to 83?
True
Suppose 3*h - 4*y = -28, -4*y + 40 = -5*h - 4. Let d be 12/h*(-8)/6. Which is greater: 2/5 or d?
d
Let b be 1 - (-2 - (-363)/108). Let y = 1/9 + b. Let j(r) = -r**3 + 4*r**2 - r + 5. Let i be j(4). Are i and y non-equal?
True
Suppose v - 2*u + 7*u = -6, v - 3*u - 2 = 0. Let p be -4 + 2*v/2. Which is greater: p or -4?
-4
Let t be 540/1701 - 1/(-9). Is -2/7 < t?
True
Let y = -225133 - -52230721/232. Let p = y + 6/29. Is p smaller than 1?
True
Suppose -3*w + b + 4 = 14, w - 1 = -4*b. Which is smaller: -13 or w?
-13
Let h be ((-3)/54)/(6/(-9)). Which is greater: 0 or h?
h
Let p = -0.15 + 0.35. Which is smaller: p or 21?
p
Let n = -17 - -18. Let f be (9/(-45))/(n - -2). Is 0 at most as big as f?
False
Let v = -20 - -35. Suppose 0 = -5*n - 6*p + p - v, -7 = 5*n - 3*p. Suppose 0*y - 4 = 4*y. Is n greater than y?
False
Let u = 10.89 + 0.11. Let q = -10 + u. Is q < 5?
True
Let d(f) = 4*f**3 + 3*f**2 + 5*f - 3. Let g be d(-4). Let m be (-220)/g + 2/(-7). Which is bigger: m or 11?
11
Let h = 82.4 + -74. Let w = -9 + h. Is -1 >= w?
False
Let l be -1 - -4 - (-8)/(-4). Which is smaller: 1/40 or l?
1/40
Let p be 26/(-22) - (-3 - -2). Let l(m) = -5*m**2 + 5*m + 1. Let x(s) = -s**2 + s. Let j(h) = l(h) - 4*x(h). Let d be j(2). Which is bigger: p or d?
p
Suppose 7*t + 69 = 6. Are t and -9 non-equal?
False
Suppose -3*t = -4*z, -6*t - 2*z + 14 = -4*t. Let h = -4 + t. Let g = -2/67 - -164/1005. Do g and h have the same value?
False
Let i be (-50)/42 - 3/(-13 - -4). Which is smaller: i or 0?
i
Let x = -0.4 - -0.9. Let f = -0.6 + x. Is 0.7 at most as big as f?
False
Let j be 4/3 + (-1 - 1). Suppose -4*p = 4*m + 12, -m - 1 = -3*m + 5*p. Is j < m?
False
Let x = -42 - -63. Let v be 4/(-14) - (-4)/14. Suppose v = -5*w + 2*w - x. Which is greater: -6 or w?
-6
Let g(k) = -k**2 + 11*k - 6. Let y be g(10). Let h be (y/(-6))/(42/27). Is h greater than or equal to 1?
False
Let n = -5 - -4. Let u(z) = -z**3 - 6*z**2 + 8*z - 3. Let k be u(-7). Let c be n/k + 5/(-10). Is 2 > c?
True
Let h = 2065308971/12302 + -167884. Let w = h + 215219/270644. Let n = 6/11 - w. Is n smaller than 0?
True
Let k be 1/(-2)*0*(-7)/28. Which is greater: k or -5/11?
k
Let r(x) = -x**3 - 4*x**2 + 4*x - 3. Let q be r(-5). Suppose 3*z + q = f, -f = 3*f + z - 8. Is f bigger than -3?
True
Let w be (3 - (-18)/(-5))*1. Suppose -5*f + 2*f = 0. Suppose 0*g + 3*g = f. Is g less than w?
False
Suppose u - 3*u - 6 = 0. Let a = 5 + u. Let o be -1*(2 + 24/(-14)). Is a greater than o?
True
Let u be (-4)/4 - (0 - 2). Which is smaller: -4 or u?
-4
Let a = 11 + -7. Let t = 4 - a. Which is smaller: -0.1 or t?
-0.1
Let q(v) = v**2 - 17. Let j be q(-7). Is j at most as big as 30?
False
Let w = 2/29 + 25/58. Which is greater: -1.9 or w?
w
Let f = 1.43 + -0.69. Let d = 0.51 - f. Let v = 0.07 - d. Does v = 1?
False
Suppose 1 = 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
ithout replacement from ccllwxrq. What is prob of picking 1 r and 2 c?
1/56
Four letters picked without replacement from hhvvvhhhvhvhhvhhvvvh. Give prob of picking 3 h and 1 v.
99/323
What is prob of picking 1 l and 1 m when two letters picked without replacement from {p: 2, m: 2, x: 3, l: 2}?
1/9
What is prob of picking 2 d and 2 y when four letters picked without replacement from {a: 3, t: 3, d: 9, y: 2}?
9/595
Calculate prob of picking 2 o, 1 a, and 1 r when four letters picked without replacement from {o: 3, r: 1, a: 3, f: 2, j: 5, i: 1}.
3/455
Three letters picked without replacement from nqgg. Give prob of picking 1 n and 2 q.
0
What is prob of picking 1 g and 3 s when four letters picked without replacement from gssggsgsgggggsssggss?
308/1615
Two letters picked without replacement from feefpfpfpfpfp. What is prob of picking 2 e?
1/78
What is prob of picking 1 s and 1 z when two letters picked without replacement from zssszssssssssssz?
13/40
Two letters picked without replacement from {p: 6, x: 4}. Give prob of picking 2 x.
2/15
Four letters picked without replacement from {k: 8, v: 2}. What is prob of picking 2 v and 2 k?
2/15
Four letters picked without replacement from {l: 5, u: 1, d: 4}. Give prob of picking 2 l and 2 d.
2/7
Three letters picked without replacement from {m: 3, c: 1, d: 3, u: 3}. Give prob of picking 3 u.
1/120
Three letters picked without replacement from rjrjjrjj. Give prob of picking 2 r and 1 j.
15/56
Four letters picked without replacement from kvuhphkdd. What is prob of picking 1 u, 1 d, and 2 h?
1/63
Four letters picked without replacement from {y: 14, p: 5}. What is prob of picking 3 y and 1 p?
455/969
Three letters picked without replacement from {s: 11, v: 4, z: 3}. What is prob of picking 1 s and 2 z?
11/272
Calculate prob of picking 1 n and 2 s when three letters picked without replacement from ssvntvgntvvsfstftvtn.
3/190
Three letters picked without replacement from yyofhhkhykhhzkhk. Give prob of picking 1 k, 1 y, and 1 h.
9/70
What is prob of picking 1 i and 1 c when two letters picked without replacement from {h: 1, f: 1, i: 1, y: 1, c: 1}?
1/10
Four letters picked without replacement from {z: 5, i: 2}. What is prob of picking 4 z?
1/7
Calculate prob of picking 3 z when three letters picked without replacement from {z: 6, g: 6}.
1/11
Three letters picked without replacement from svssvssssssvssss. What is prob of picking 3 v?
1/560
Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {w: 1, k: 5, x: 12}.
5/408
Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, r: 1, y: 1}.
1/10
Calculate prob of picking 2 m and 1 e when three letters picked without replacement from oeemr.
0
Three letters picked without replacement from {g: 4, x: 3, f: 2}. What is prob of picking 2 f and 1 x?
1/28
Three letters picked without replacement from {u: 3, k: 7, a: 1, h: 1}. Give prob of picking 1 k, 1 a, and 1 u.
21/220
Four letters picked without replacement from ddddfdfdfd. What is prob of picking 1 f and 3 d?
1/2
Calculate prob of picking 2 v when two letters picked without replacement from {j: 1, b: 3, x: 6, z: 2, r: 4, v: 4}.
3/95
What is prob of picking 2 s when two letters picked without replacement from sysysyysyyy?
6/55
Three letters picked without replacement from {s: 1, u: 1, r: 1, m: 2, c: 2}. Give prob of picking 1 s and 2 c.
1/35
Calculate prob of picking 1 a and 3 s when four letters picked without replacement from ssssssaszasnaaz.
32/195
What is prob of picking 1 p and 3 o when four letters picked without replacement from {p: 3, o: 10, v: 3, i: 4}?
24/323
Two letters picked without replacement from {e: 1, q: 2, w: 1, g: 2}. Give prob of picking 1 q and 1 w.
2/15
What is prob of picking 2 u when two letters picked without replacement from {u: 5}?
1
Two letters picked without replacement from {w: 5, v: 4, i: 3}. What is prob of picking 2 v?
1/11
Three letters picked without replacement from {s: 6, g: 2}. Give prob of picking 3 s.
5/14
Two letters picked without replacement from wwllrt. Give prob of picking 1 t and 1 w.
2/15
Two letters picked without replacement from eyieeiiyiyeeeiylyey. What is prob of picking 1 l and 1 i?
5/171
Three letters picked without replacement from qtqvkovvckvqv. Give prob of picking 1 o, 1 t, and 1 q.
3/286
Four letters picked without replacement from {l: 1, s: 8, q: 4}. What is prob of picking 2 s, 1 q, and 1 l?
112/715
Calculate prob of picking 1 f, 1 v, and 1 m when three letters picked without replacement from fmmfffffmmfmmfmvvm.
8/51
What is prob of picking 2 b and 1 g when three letters picked without replacement from {i: 6, b: 9, g: 4}?
48/323
Two letters picked without replacement from bxbxxrkxn. Give prob of picking 1 x and 1 r.
1/9
Calculate prob of picking 3 n and 1 q when four letters picked without replacement from {q: 5, n: 3}.
1/14
Calculate prob of picking 2 e, 1 q, and 1 d when four letters picked without replacement from {d: 1, q: 1, x: 1, e: 2}.
1/5
What is prob of picking 1 j and 1 s when two letters picked without replacement from {s: 3, z: 5, j: 9, y: 1}?
3/17
Three letters picked without replacement from ebxvubuuux. What is prob of picking 3 u?
1/30
What is prob of picking 2 c, 1 q, and 1 n when four letters picked without replacement from {c: 7, n: 2, o: 7, q: 2}?
7/255
Calculate prob of picking 1 c and 1 h when two letters picked without replacement from chhhccuccccuch.
32/91
What is prob of picking 1 r and 3 v when four letters picked without replacement from rrrvrvrrrvvrrrrrvr?
13/306
What is prob of picking 3 d when three letters picked without replacement from {d: 6, p: 7}?
10/143
Calculate prob of picking 3 j when three letters picked without replacement from {i: 4, j: 6}.
1/6
Calculate prob of picking 2 f when two letters picked without replacement from {x: 1, u: 4, j: 11, f: 3}.
1/57
What is prob of picking 1 q and 1 h when two letters picked without replacement from {r: 7, q: 4, h: 4}?
16/105
Calculate prob of picking 1 t and 2 x when three letters picked without replacement from {e: 1, t: 3, r: 8, v: 1, x: 2, a: 1}.
3/560
Calculate prob of picking 2 l, 1 x, and 1 i when four letters picked without replacement from {l: 2, e: 2, x: 1, i: 1}.
1/15
What is prob of picking 2 h and 1 i when three letters picked without replacement from hllillhi?
1/28
Three letters picked without replacement from ppuekee. Give prob of picking 1 k, 1 e, and 1 u.
3/35
Three letters picked without replacement from {h: 8, q: 5}. Give prob of picking 1 q and 2 h.
70/143
Two letters picked without replacement from swsrfnsffpfn. Give prob of picking 1 f and 1 p.
2/33
Two letters picked without replacement from zsscsszz. Give prob of picking 2 s.
3/14
Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {o: 1, b: 3, u: 2, t: 13}.
2/57
Three letters picked without replacement from {c: 1, d: 1, s: 1, h: 1, y: 2, g: 1}. Give prob of picking 1 g, 1 s, and 1 h.
1/35
What is prob of picking 2 w and 2 y when four letters picked without replacement from ywyyyywyyy?
2/15
What is prob of picking 1 z and 2 j when three letters picked without replacement from iimjjzzijiijmzijjii?
15/323
Three letters picked without replacement from {g: 3, u: 3, i: 5, z: 2}. Give prob of picking 2 g and 1 i.
15/286
Two letters picked without replacement from gwrwzhrgoworgrg. What is prob of picking 1 h and 1 z?
1/105
Three letters picked without replacement from kvvkcvvcccvvv. What is prob of picking 3 v?
35/286
Three letters picked without replacement from nnnnnfnnnnnn. Give prob of picking 1 f and 2 n.
1/4
Calculate prob of picking 1 h and 3 w when four letters picked without replacement from {d: 1, h: 1, x: 1, r: 1, w: 2, z: 1}.
0
Four letters picked without replacement from {r: 6, f: 6}. What is prob of picking 1 r and 3 f?
8/33
What is prob of picking 1 r and 2 h when three letters picked without replacement from gtrkrhptthpk?
1/110
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from wmbmwmnuwrwmnmrw.
1/60
What is prob of picking 2 i, 1 d, and 1 p when four letters picked without replacement from {j: 1, p: 1, i: 2, d: 1}?
1/5
Three letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
arest to 1/3? (a) -1 (b) o (c) i
a
Let x = -30 + 61/2. Let j = 0 - 0.2. Which is the nearest to x? (a) -3 (b) j (c) -1
b
Let c = -65 + 71. What is the nearest to 1 in c, 1, -1/4?
1
Let f = 37 + -42.7. Let g = 0.04 - -0.66. Let q = g + f. Which is the closest to -0.1? (a) 4 (b) q (c) -2
c
Let b be ((-2)/(-14))/(1/(-3)). What is the nearest to -0.1 in -0.5, b, 1?
b
Let g = -3.2 + 0.2. Which is the closest to g? (a) 3/7 (b) -0.5 (c) -1/3
b
Let g = -2 - -1.9. Let t = 0.23 - 0.67. Let p = -0.04 - t. Which is the closest to g? (a) -4 (b) 0.3 (c) p
b
Let l = -0.1 - -0.2. Let k = -0.2 + l. Let d be (0 - 2) + 2 + 0. What is the nearest to -0.1 in d, k, 3/4?
k
Let v = 5 - 7. Let o = 22 + 0. Let j = o - 108/5. Which is the nearest to v? (a) 0.1 (b) -2 (c) j
b
Let o = 3 - 2. Let d = 0.6 - 0.6. Let u = 0 - d. Which is the nearest to u? (a) o (b) -4 (c) -5
a
Let h = 6.4 - 2.4. Which is the nearest to 1/4? (a) 1/4 (b) 0.1 (c) h
a
Let y be 2/4 - 3/14. Let c be ((-6)/(-4))/((-20)/8). Let j be ((-4)/(-6))/(8/6). What is the closest to y in -5, j, c?
j
Let u = -1 + -3. Which is the closest to 1? (a) 5 (b) 0 (c) u
b
Let l = -20 + 20. Let s = 235 + -2117/9. Let o = 0.2 + -0.1. Which is the closest to o? (a) 2 (b) l (c) s
b
Let d = 0.071 + 0.329. Which is the closest to -0.4? (a) 0 (b) d (c) -3
a
Let v = 3 - -10.9. Let w = 14 - v. What is the nearest to w in 5/2, -2, 3?
-2
Let g = 16 - 16.4. Let y = 9 - 14. Let q = 2 - 2.1. What is the nearest to q in g, y, 5/2?
g
Suppose 4*v + 10 = 4*l + l, -2*l = 5*v + 29. Let o be 0 - l - (25 + -2). Let p be (-2)/(1/((-6)/o)). What is the closest to -2 in 0.5, -3, p?
-3
Suppose 5*l + 23 = -2*j, -j - 1 + 12 = -5*l. Let n = -36 - -36. What is the closest to -1/3 in -0.1, l, n?
-0.1
Let m be 15/(-8) - 1/(-8). Which is the closest to 1/2? (a) 0.5 (b) m (c) -4
a
Let g = -43/6 + 17/3. What is the nearest to 1 in 4/3, -1/3, g?
4/3
Suppose -5*o + 6 = -2*o. Let x be o + (-2)/((-10)/(-9)). Let j = -2 + 3. Which is the closest to j? (a) x (b) -1 (c) 1/4
c
Let m be -4 + 7 - (3 + -4). Which is the closest to 1? (a) 1/5 (b) 0.3 (c) m
b
Let p = 8.7 - -0.3. Let d = p + -5. Which is the nearest to -0.1? (a) d (b) -1/2 (c) -0.3
c
Let n = -35 + 141/4. Which is the nearest to n? (a) 0.2 (b) -4 (c) 3
a
Let y be (-2)/(-5) - 11990456/(-1260). Let d = -9516 + y. Let k = -2/63 - d. Which is the closest to -1? (a) -0.3 (b) -5 (c) k
c
Let k = -10.74 + -1.26. Which is the closest to 2/9? (a) 2 (b) 0.2 (c) k
b
Let h(d) = -d**2 + 12*d - 20. Let g be h(10). Which is the nearest to 2/13? (a) -0.2 (b) -2/15 (c) g
c
Let a = 3.04 - 3. Let v = -0.09 + 0.35. Let x = v + a. What is the nearest to -1 in x, 0, -2/9?
-2/9
Let w = 2 + -5. Let t = 2.1 - 0.1. Let x = 3 - t. What is the closest to x in w, -0.1, -2?
-0.1
Suppose 48 - 52 = 4*t. Which is the nearest to 1/2? (a) -1/2 (b) -0.3 (c) t
b
Suppose 5*z - 11 = -31. What is the closest to 0.1 in 1, -7, z?
1
Let y = 31.2 + -27. Let s = -0.8 - y. Let h = 34/95 - 3/19. What is the closest to -0.1 in 1/3, s, h?
h
Let r be -2 - (-2 - 0)/(-1). Which is the closest to 1? (a) r (b) -1 (c) 0.3
c
Let z = -105/8 - -13. Let p = 2 - 4. Let r = -521 - -520. What is the nearest to r in p, z, 1/2?
z
Let j = -5 + 5.2. Let d = j - -0.8. Which is the closest to 1? (a) -0.4 (b) -2/21 (c) d
c
Suppose p + 1 = -2*o - 10, 7 = 2*o - 5*p. Which is the nearest to -1? (a) -1/4 (b) o (c) 0.5
a
Let q be (18/(-16))/((-7 - -8)*3). Which is the closest to 0? (a) 2 (b) 1 (c) q
c
Let k = 68 + -67. What is the closest to k in -1, -6, -3?
-1
Let l = 12 + -12.8. Let h = 0.2 - l. Which is the closest to h? (a) -5 (b) -2 (c) -1/3
c
Let y = 55/222 + -3/37. Let w be 2 - (-2 - -2*3). Which is the nearest to 0? (a) y (b) w (c) 1
a
Let u = 24.7 + -26. Let j = 3.3 + u. What is the closest to j in -4, 4, 3?
3
Let v = -3.9 + 3.9. Which is the nearest to -1? (a) -5/3 (b) 4/7 (c) v
a
Let i = 0.5 - 0.2. Let j = 4.6 + -8.7. Let k = j - -4. Which is the nearest to k? (a) 0.5 (b) i (c) 4
b
Suppose 0*f - 5*f + 3*g = 24, -2*g + 18 = -4*f. Which is the nearest to f? (a) 1/5 (b) 3 (c) 2/3
a
Let j = 3.02 + -0.02. Let p = 2 - 5/3. Which is the nearest to -0.1? (a) 0 (b) j (c) p
a
Let x = -7 + 7.3. What is the closest to 0 in 0, 4, x?
0
Suppose -5*m = -m + 24. Let i(g) = g + 5. Let z be i(m). Which is the nearest to 1? (a) z (b) -5/3 (c) 0.2
c
Let d = 0.06 + -0.16. Let k = 78.5 + -79. What is the nearest to -2/7 in d, k, 1/4?
d
Let r be 1/((6/3)/(-2)). What is the nearest to r in -4, -2/11, 0.3?
-2/11
Let x(b) be the third derivative of b**6/120 + b**4/24 - 2*b**3/3 + b**2. Let i = 48 + -48. Let k be x(i). What is the nearest to 0 in 2, k, -1?
-1
Let c = -0.05 - -0.15. Let y = 0.6 - 1. What is the closest to -1 in 0.2, y, c?
y
Let x = 282 + -187. Suppose -4*s + 3*z = -5*s - 13, -5*z = -3*s - x. Let p = 251/10 + s. Which is the nearest to 1? (a) -4/3 (b) 2 (c) p
c
Let m = 5.8 - 6. Let o = 0.8 - m. Which is the nearest to o? (a) 3/7 (b) -1/4 (c) 0.4
a
Let r = 0.2 - -0.2. Let n = -20 - -19.7. Which is the closest to -2/3? (a) r (b) n (c) -2
b
Let q = -4.9 + -0.1. What is the closest to -3 in 4, q, -1/4?
q
Let o = -58/5 - -11. Let m = 10 - 9. Let z be 22/(-28) - (-14)/49. Which is the closest to z? (a) m (b) o (c) 1/3
b
Let f = 0.165 + 0.035. Which is the nearest to 0? (a) -5 (b) f (c) -1
b
Let u = 1/6 + -2/3. Which is the closest to u? (a) -5 (b) -1 (c) 0.3
b
Let c(a) = -a**3 + 14*a**2 - 13*a - 3. Let b be c(13). What is the closest to 1 in b, -0.1, 1?
1
Let i = -9 + 5. Let r = 4.1 + i. Which is the nearest to -2/3? (a) 2/3 (b) r (c) -5
b
Let a = 8 + -8.05. Let m = 0.95 - a. Suppose -2*g - g - 15 = 0. What is the nearest to m in 3, g, 0.4?
0.4
Let v = 26 - 1. Let y be v/(-20) - 1/(-2). Which is the closest to 1/3? (a) y (b) 1/9 (c) 0.3
c
Let v(k) = k + 5. Let t be v(-6). Let d be 1/2*(-1 - t). Which is the closest to d? (a) 0.3 (b) -0.2 (c) 2
b
Let w = 0.3 - 0.4. What is the closest to w in -4, -1/5, 0.2?
-1/5
Let u = 0.475 - 0.075. Let h(m) = 2*m + 3. Let d be h(-3). Which is the nearest to 2? (a) -1/3 (b) d (c) u
c
Let k = 1.6 - 4.6. Let l = -3/128 - 223/1408. Which is the closest to k? (a) l (b) -1 (c) -0.4
b
Let k = 1 - 0. Let h = 61/5 + -437/35. What is the nearest to k in h, -2/11, 0.5?
0.5
Let z = 7.5 - 7. Let f(q) = -q**2 - 8*q + 10. Let r be f(-9). What is the nearest to r in z, -0.5, -0.4?
z
Suppose -5*b = -20, -4*l + 3*b - 7*b = 4. Let u(s) = s + 1. Let z be u(4). What is the closest to -1 in l, z, -1?
-1
Suppose 1 - 2 = -i. Which is the nearest to 0.1? (a) 2/7 (b) 0 (c) i
b
Let d = -15 - -15. What is the closest to 2 in -2/7, 2, d?
2
Let x be 6/(-21) - (-3)/(-14). Let k = 35.7 + -34. Let n = 2 - k. Which is the nearest to -1/4? (a) 2 (b) n (c) x
c
Let f = 5.17 + -0.17. Which is the nearest to 0? (a) f (b) -2 (c) -3/8
c
Let u = -0.01 - 4.99. Let q = -2 + 2. What is the nearest to q in u, 4, 2/19?
2/19
Let o be 3/((-21)/2*1). Let x = 1 + 0. Let y(b) = -b - 10. Let m be y(-7). What is the nearest to x in 0.1, o, m?
0.1
Let r = 139/3 - 47. Let d(q) = -3*q**3 + 2*q**2 - 1. Let l be d(-1). What is the closest to 2/7 in l, -3, r?
r
Let r = 8.1 + -8. Let c = 6 + -9. What is the closest to 0 in c, r, 1/2?
r
Let p = 138 + -137. What is the nearest to 1 in p, 0.3, -15?
p
Let u = 1.9 + 8.1. Let r = 8 - u. Which is the closest to -0.1? (a) 0.1 (b) 5 (c) r
a
Let t(r) = -2*r**2 - 19*r - 23. Let y be t(-7). Which is the closest to -1? (a) 0.3 (b) -2 (c) y
b
Let w = 62 - 66.3. Let u = w + 0.3. Which is the closest to -0.4? (a) u (b) -5 (c) 1/3
c
Let o be (-2)/(-24)*(-94)/(-2). Let n = 17/4 - o. What is the closest to 0 in -2/5, 0.5, n?
n
Let x = 51 + -49. What is the closest to x in -2/17, 2, -5?
2
Let n = -69/4 - -17. Which is the closest to n? (a) -1 (b) -3/2 (c) -0.2
c
Let o(w) = -w - 3*w + w**3 + w - 9*w**2 + 4*w. Let s be o(9). Let m = s + -13. Which is the nearest to -1? (a) m (b) 4 (c) -0.2
c
Let v be (-50)/125 - (-6)/10. Let p = -0.6 - 1.4. What is the closest to -0.1 in v, 1, p?
v
Let i = 2.06 + -0.06. Let j = 27 + -22. What is the nearest to -2 in i, -0.2, j?
-0.2
Let x = -2 + 3. Which is the nearest to -1/7? (a) x (b) 2/9
|
{
"pile_set_name": "DM Mathematics"
}
|
6.
1774278
Calculate the lowest common multiple of 44 and 150194.
300388
What is the common denominator of 11/166660 and -123/100?
833300
Calculate the common denominator of 92/1365 and -19/207.
94185
What is the least common multiple of 68 and 503420?
8558140
What is the common denominator of 55/16 and -49/438?
3504
What is the common denominator of -53/509004 and -83/509004?
509004
Calculate the least common multiple of 60 and 211260.
211260
Find the common denominator of -53/630 and 10/2619.
183330
What is the common denominator of 61/6580 and 44/985?
1296260
What is the common denominator of 37/407456 and 19/272?
407456
What is the least common multiple of 10 and 12300?
12300
Calculate the common denominator of 79/80145 and -66/3965.
4888845
Calculate the common denominator of -29/90410 and 97/759444.
3797220
Calculate the lowest common multiple of 6430 and 15432.
77160
What is the common denominator of 91/95616 and -51/16?
95616
Find the common denominator of 13/34590 and -91/20.
69180
Calculate the lowest common multiple of 73890 and 570.
1403910
Calculate the common denominator of -39/896 and 53/1176.
18816
Calculate the common denominator of -101/66 and -149/7260.
7260
What is the lowest common multiple of 154700 and 2240?
2475200
Find the common denominator of 27/62176 and -1/124.
1927456
Find the common denominator of 52/9 and 40/36011.
324099
Find the common denominator of 80/183393 and 53/812169.
5685183
Find the common denominator of 99/232 and 131/246.
28536
Calculate the common denominator of -49/2643680 and 51/8.
2643680
What is the least common multiple of 397614 and 18?
1192842
Calculate the smallest common multiple of 4075 and 8965.
44825
Calculate the common denominator of 89/180 and 91/16700.
150300
What is the lowest common multiple of 18326 and 94248?
659736
Find the common denominator of -151/648 and 77/120.
3240
Calculate the common denominator of 83/85956 and -127/12.
85956
Find the common denominator of -67/68822 and 1/65.
344110
Find the common denominator of -58/711 and 27/64.
45504
Calculate the common denominator of 43/2 and 79/2253630.
2253630
What is the smallest common multiple of 21186 and 51788?
466092
What is the lowest common multiple of 18734 and 560?
5245520
Calculate the common denominator of -85/400624 and -37/18.
3605616
Calculate the lowest common multiple of 9 and 26144.
235296
Calculate the smallest common multiple of 1440 and 1220.
87840
What is the lowest common multiple of 550 and 209770?
1048850
Calculate the common denominator of -25/256472 and 37/160295.
1282360
Calculate the lowest common multiple of 66 and 1663.
109758
What is the lowest common multiple of 195 and 28230?
366990
Calculate the smallest common multiple of 1164 and 7857.
31428
Calculate the smallest common multiple of 176360 and 18.
1587240
What is the common denominator of -63/3368 and -93/13472?
13472
Calculate the common denominator of -145/936 and -115/15912.
15912
Find the common denominator of -76/15 and 151/215208.
1076040
Find the common denominator of -131/6384 and -17/140784.
2674896
Calculate the smallest common multiple of 53 and 11819.
11819
What is the smallest common multiple of 279 and 287?
80073
Find the common denominator of 121/293944 and -21/446165.
24985240
What is the smallest common multiple of 9614 and 195624?
4499352
Calculate the least common multiple of 411 and 1359.
186183
What is the common denominator of 101/10428 and -37/13904?
41712
Calculate the common denominator of 113/8120 and -66/455.
105560
What is the common denominator of 61/14814 and 34/9?
14814
Find the common denominator of -8/11 and -57/155525.
1710775
Calculate the common denominator of -47/125472 and 39/460064.
1380192
Calculate the smallest common multiple of 411646 and 411646.
411646
Calculate the smallest common multiple of 416 and 184.
9568
What is the common denominator of 47/2304 and 19/43584?
523008
Calculate the common denominator of -19/13425 and 7/26895.
24071025
What is the common denominator of -38/45 and 47/3903?
58545
What is the common denominator of -29/210 and 61/2268?
11340
Calculate the least common multiple of 14364 and 1596.
14364
What is the common denominator of -67/244881 and -63/8?
1959048
What is the common denominator of -21/22910 and -68/45?
206190
What is the lowest common multiple of 174240 and 27588?
3310560
Find the common denominator of 17/12714 and 16/5379.
139854
Calculate the common denominator of 151/24 and -77/4144464.
4144464
Calculate the smallest common multiple of 122 and 1268.
77348
What is the lowest common multiple of 127983 and 4612?
511932
Calculate the common denominator of -113/2165205 and 58/309315.
2165205
Calculate the common denominator of -85/210754 and 71/14.
1475278
Calculate the common denominator of -44/10719 and 23/45.
53595
Calculate the common denominator of -31/2940 and -51/460040.
9660840
Calculate the common denominator of 76/64227 and -97/35772.
2825988
What is the least common multiple of 11578 and 5789?
11578
What is the smallest common multiple of 15 and 67866?
339330
Calculate the smallest common multiple of 315 and 137439.
4810365
Calculate the lowest common multiple of 2 and 365220.
365220
Find the common denominator of 3/415 and 8/544563.
2722815
What is the smallest common multiple of 1015 and 14007?
70035
Find the common denominator of -64/231 and 50/22041.
1697157
What is the common denominator of 17/907124 and -83/7528?
1814248
What is the least common multiple of 50416 and 1104?
151248
What is the lowest common multiple of 65586 and 408?
262344
Calculate the common denominator of -50/13477 and 17/5.
67385
Calculate the common denominator of 163/106386 and -17/24.
425544
Calculate the least common multiple of 5243 and 1421.
152047
Calculate the least common multiple of 72553 and 143.
798083
Calculate the least common multiple of 130400 and 5.
130400
Calculate the lowest common multiple of 5034 and 36.
30204
What is the common denominator of 87/1184 and -1/3219?
103008
Calculate the smallest common multiple of 3478 and 116.
201724
What is the common denominator of -83/1364 and 17/27533?
3414092
Find the common denominator of 39/154805 and 88/315.
1393245
Calculate the smallest common multiple of 120 and 27846.
556920
Calculate the lowest common multiple of 833085 and 19965.
9163935
What is the lowest common multiple of 368 and 1856?
42688
Find the common denominator of -93/19108 and 63/277066.
554132
Find the common denominator of -34/21 and -10/22967.
68901
Calculate the lowest common multiple of 912 and 19470.
2959440
Find the common denominator of 149/9390 and 23/38.
178410
Find the common denominator of 97/64 and 25/1149584.
4598336
What is the least common multiple of 1549 and 3?
4647
Calculate the common denominator of -85/443352 and -89/234.
1330056
What is the common denominator of 81/10 and -49/194111?
1941110
Calculate the lowest common multiple of 297 and 87.
8613
What is the least common multiple of 43 and 41045?
1764935
What is the lowest common multiple of 8236 and 290?
41180
Calculate the lowest common multiple of 40 and 5720.
5720
Find the common denominator of -61/752 and 15/2726.
21808
Calculate the lowest common multiple of 1818 and 21.
12726
What is the lowest common multiple of 5916 and 1251?
2466972
Calculate the smallest common multiple of 6690 and 432.
481680
Calculate the common denominator of 17/24 and 227/68250.
273000
What is the lowest common multiple of 88 and 255464?
255464
Calculate the common denominator of -139/553104 and -39/42752.
8849664
Calculate the common denominator of 99/35836 and -25/6.
107508
What is the common denominator of 101/8694 and 137/2070?
43470
Calculate the smallest common multiple of 3364 and 18734.
1086572
Find the common denominator of 97/234 and 121/1686.
65754
What is the common denominator of 59/11145 and 17/100?
222900
What is the common denominator of 37/50 and -99/274220?
1371100
What is the smallest common multiple of 4563 and 663?
77571
Calculate the least common multiple of 1962 and 73248.
219744
What is the smallest common multiple of 9260 and 9260?
9260
Find the common denominator of 25/83103 and 71/21.
581721
What is the common denominator of -79/211545 and -5/507708?
2538540
Find the
|
{
"pile_set_name": "DM Mathematics"
}
|
2*r - 45, 3*s - 66 + 76 = -5*r for s.
5
Solve -4*l = -3*f - 25, -4*l = -298*f + 303*f - 1 for f.
-3
Solve -42 = 4*y - 2*j, 27 = -y + 32*j - 30*j for y.
-5
Solve -2364*k - i + 186 = -2373*k, 4*k - 2*i = -78 for k.
-21
Solve -2*j - r - 24 = 0, 3*r + 63 = -80*j + 77*j for j.
-3
Solve 3*d = -k - 16, -132*k - 32 = 4*d - 128*k for d.
-4
Solve -8*t - 27 - 9 = 4*a, -3*a + 4*t = -3 for a.
-3
Solve 21 = 27*y - 29*y - 7*z, -3*z - 9 = -y for y.
0
Solve -60 = 9945*s - 9942*s + f, 0 = 5*s + 5*f + 100 for s.
-20
Solve -8 = -4*l + 2*u, 11*l - 26 = 8*l + 4*u for l.
-2
Solve 27*q - 26*q = -f + 5, -2*f - 3*q + 15 = 0 for f.
0
Solve -135*g = -i - 139*g + 11, 0 = i - 3*g + 3 for i.
3
Solve -4*g + 5*o + 27 = 51, 2*g + 2*o - 6 = 0 for g.
-1
Solve -40 = 4*o + 4*w, o + 237*w = 242*w - 10 for o.
-10
Solve 7*s + 20 = 153*q - 152*q, -4*q + 4*s + 80 = 0 for q.
20
Solve -6*o + 9 = -3*f, -2*o + 1684*f + 17 = 1685*f for o.
5
Solve -247*m + 4*i = -251*m, -4*m + 3*i + 21 = 0 for m.
3
Solve -2057*b + 4*k - 20 = -2053*b, b + k = 3 for b.
-1
Solve 0 = -145*c + 162*c - 5*g - 64, 2*c - g = 10 for c.
2
Solve 0 = -2*m + 45*k - 41*k - 20, -3*m - 2*k + 18 = 0 for m.
2
Solve -7*h + 29 = 4*i, -4*i + 14 = 8*h - 6*h for h.
3
Solve 0 = 4*a + 24, -q + 100 = 3*a + 114 for q.
4
Solve -5*p = 2*r + 27, -22*p - 4*r - 30 = -20*p for p.
-3
Solve -71 = p - 261*s + 266*s, 0 = -2*p - 5*s - 67 for p.
4
Solve -d - 2 = -5*r, -2 = -4*r + 90*d - 89*d for r.
0
Solve 0 = -2*i + 4, -460 + 465 = 3*m + i for m.
1
Solve -12*j - 20 = -17*j, -4*i + 28 = j for i.
6
Solve 5*c + 20 = -5*k, -2*c + 18 - 14 = -k for c.
0
Solve -3 = 3*a, 6*o - 15*a = -11*a - 14 for o.
-3
Solve 11*f + 2*p + 11 = 6*f, 5*f - 4*p = 7 for f.
-1
Solve -2*y = -4*u + 18, 3*u - 25 = -2*y - 29 for u.
2
Solve 497*l - 495*l = 5*n - 13, l - 7 = -2*n for n.
3
Solve -1097*x + 1094*x - 3*b - 30 = 0, -3*b = -4*x + 2 for x.
-4
Solve c + 5*u - 274 = -277, 13*c + 5*u = 21 for c.
2
Solve w = 3*a - 5, 82*w = 78*w - 8*a + 40 for w.
4
Solve 841*p + 5*a = 844*p - 51, 138 = 6*p + 2*a for p.
22
Solve 0 = -4*r - 16, -3*f + 3977*r - 3978*r + 5 = 0 for f.
3
Solve 3*h + 4 = -2*u, 731*u + 36 = -5*h + 735*u for h.
-4
Solve -81 = 3*o - 4*p, 1660*o - 1661*o - 27 = -5*p for o.
-27
Solve 90*g = 87*g + 2*y + 20, 4 = 2*g + y for g.
4
Solve -5*a = -3*u - 6, -u - 773 = a - 763 for a.
-3
Solve 4*x + 1523 = -3*q + 1467, 0 = -4*q - 4*x - 72 for q.
-16
Solve 103*r - m = 108*r + 7, 5*r + 4*m = 2 for r.
-2
Solve -157*b + 155*b = 20, 11*c + 43 = -0*b - b for c.
-3
Solve -4*p = h - 15, -24*p - 3*h = 37*p - 57*p - 21 for p.
3
Solve -28675*w - 4*v = -28673*w - 10, -5*w + 5*v = -10 for w.
3
Solve 0 = -13*g + 9*g - 4*u + 12, 0 = g + 4*u + 9 for g.
7
Solve 4*c - 27 = -3*t, 17*c - 8*c + 2*t = 12*c + 1 for c.
3
Solve c - 147 + 137 = -4*i, 0 = 5*i - 5*c - 25 for i.
3
Solve 0 = -5*w + 20, -218*b - 24 = -214*b - 3*w for b.
-3
Solve -3*v + 5*z + 6 = 0, 4*z - 2 = 51*v - 52*v for v.
2
Solve -104*p = 10*f - 102*p + 22, -4*f - 5*p + 8 = 0 for f.
-3
Solve -5*q - 55 = 5*y, 2*q + 1529*y = 1526*y - 18 for q.
-15
Solve 11*j = -5*w + 7*j + 7, -4*w = 4*j - 8 for w.
-1
Solve 3*m - 3*u + 24 = 0, 12*u - 10*u - 25 = 5*m for m.
-3
Solve 159*j - 158*j + 2 = -4*s, 2*j - 3*s + 48 = 0 for j.
-18
Solve 3*v + 3*s - 62 = -53, 0 = -s + 1 for v.
2
Solve 44 = 4*b + 5*h, 37 = -4*h + 53 for b.
6
Solve -4*f - 1975*r + 80 = -1973*r, 2*f = 3*r + 24 for f.
18
Solve 0 = 4*w + 5*b + 34, -346*w = -343*w + 10*b + 63 for w.
-1
Solve -2*i - v = 1, -3*v + v - 79 = 33*i + 2*v for i.
-3
Solve -16 = 2*h - 2*b, -20494*h + 20499*h = b - 12 for h.
-1
Solve -4*k + 27 = 3*j, 583*k - 582*k - 10 = -4*j for k.
6
Solve 201*s + 3*c - 22 = 205*s, -2*c = -2*s - 12 for s.
-4
Solve 320*d + 4*l + 8 = 324*d, -d - 4 = 2*l for d.
0
Solve -9*b = 2*l + 23, -5*b - 73 = 2*l - 70 for l.
11
Solve -3*l = -3*h - 3, 2*h - 6*l + 50 = 8*l for h.
3
Solve -12 = -2*i - 22, 2*h - 3*i - 11 = 0 for h.
-2
Solve 3*k - g = 28, 348 = 4*k + 2*g + 304 for k.
10
Solve -z - 82*i = -79*i + 9, 3*z + 1 = 4*i for z.
-3
Solve 2*d - 3 = -7*f, 0 = 3*d - 5*d - 4*f - 6 for d.
-9
Solve 4*f - 64 = 8*l, 27*f - 24*f - 4*l - 42 = 0 for f.
10
Solve 436 = 3*o - 4*u + 447, 3*u = -2*o + 4 for o.
-1
Solve 2*j - 7399*b + 7403*b = -26, 4*j - 3*b - 3 = 0 for j.
-3
Solve -4*d = -3*k - 28, -3*d + 91*k + 32 = 86*k for d.
4
Solve 12 = 5*s + 6*m, 2*s - 7355 + 7345 = 3*s - 5*m for s.
0
Solve 29 = j, 2*z - 116 = -2*z + 3*j - 7*j for z.
0
Solve -24888*z + 5*f + 11 = -24889*z, 3*f - 87 = 3*z for z.
-26
Solve -372 = -3*g - 15*b, -3*b = -g - 495 + 419 for g.
-1
Solve -4*a + 3*k - 42 = -47, 15 = 3*k for a.
5
Solve 0 = -g - 4*r - 521 + 503, -g - 2*r - 12 = 0 for g.
-6
Solve -29 = -3*y + 2*g - 24, -2*y + 30 = 2*g + 2*g for y.
5
Solve -3*a = 2*y - 4, -19*a + 437*y - 434*y = 6 for a.
0
Solve -d - 9 = -5*j + 8, 2*d = -5*j + 26 for d.
3
Solve -5*v - 4*i + 23 = 0, 895*v - 9 = 895*v + 3*i for v.
7
Solve 0 = -4*t - 4*g - 8, 0 = t - 7001*g + 7006*g + 14 for t.
1
Solve -3*z + 3*n + 95 = -2*n, z - n = 19 for z.
0
Solve 5*g - 2*s = -4, 5*g + 165*s = -10*g + 12*g + 330 for g.
0
Solve 0 = -729*t + 731*t + 2, 0*t + 15 = -2*b + t for b.
-8
Solve -3*w - 8 = 4*x, -2*x + 74*w - 81*w = 4 for x.
-2
Solve 3*g + 112 - 112 = u, 3*u = -5*g for u.
0
Solve 0 = 3*y - 5*a + 11, 3989 = -5*y + 3*a + 3944 for y.
-12
Solve -4*c - 4*g - 28 = 0, -272*g = -c - 274*g - 11 for c.
-3
Solve 4*m = 3*c + 16, 0 = 2*m + 2*c + 32205 - 32199 for m.
1
Solve 5 = -3*z - v, 5*z + 2884*v = 2881*v - 7 for z.
-2
Solve -5*t - 4*b = 3, t + 4*b + 11 = 20 for t.
-3
Solve -5*o + 554 = 4*b + 546, -2*b - 10*o + 34 = 0 for b.
-3
Solve -2*c - 5376 + 5400 = 0, 5*t + c = 37 for t.
5
Solve -4*p = -c - 16, -7*c - 8 = -12*c - 2*p for c.
0
Solve 3*q = 4*g + 39, 2675*g - q + 13 = 2679*g for g.
0
Solve 2*v - 3*r + 4 = 0, 0 = -v + 19*r - 23 + 56 for v.
-5
Solve -9 = 3*t, -136*j + 145*j - 2*t + 30 = 0 for j.
-4
Solve -29449 = -w + h - 29462, -h + 31 = -3*w for w.
-9
Solve 55 = 5*o + 5*x, -276 = -o - 4*x - 250 for o.
6
Solve 0 = -4*m - 3*s + 2, 142*s = 141*s - 2 for m.
2
Solve 4*a + 3*n = 0, -4*a - n + 7*n - 11*n = 0 for a.
0
Solve -5*l + 4*n = 39, -4128 + 4119 = 2*l + 5*n for l.
-7
Solve -2*t + p = 2, 0 = t - 522*p + 524*p - 14 for t.
2
Solve -466*o + 2*y - 9 = -471*o, -5*y + 12 = 2*o for o.
1
Solve 3*z + 4*l = 26, 4*l = -50*z + 46*z + 28 for z.
2
Solve -2*a - 5 = -4*y - a, 3*a - 18 = y for y.
3
Solve 3*i + 36 = -o, 3*i - 4*o = 5818 - 5839 for i.
-11
Solve 6*t - 46 = -4*h, 35*t - 32*t - 8*h = 73 for t.
11
Solve 3*m = -5*o + 259 - 267, -4*m + 36 = -5*o for o.
-4
Solve 5*j + 321 - 361 = 5*b, -5*b = -3*j + 30 for b.
-3
Solve -15 = 3*c, -10 = 2*i - 9*c - 41 - 22 for i.
4
Solve p + 0 = -3*j - 14, -4*p + j + 9 = 0 for p.
1
Solve -108*r + 12 = 4*a - 105*r, 75*r = 2*a + 300 for a.
0
Solve 96*l - 94*l = 5*c + 86, 0 = -4*c + 4*l - 76 for c.
-16
Solve -4*x + f - 12 = -33, -6*f + 30 = 2*x for x.
6
Solve 201*v - 200*v + c - 5 = 0, -5*v - 25 = -5*c for v.
0
Solve b = 3*z + 3, 2*z + 306*b + 19 = 301*b for z.
-2
Solve 0 = 5*m - 2*c + 34, -m - 5*c + 738 - 707 = 0 for m.
-4
Solve -78*g + 75*g = -3*q - 3, 3*g - 3 = -24*q for g.
1
Solve 5*j = -2*n + 81, -72 = n - 43*j + 38*j for n.
3
Solve -3*j = 5*w + 2, -18*w - 69*j = -70*j - 40 for w.
2
Solve -i = 19*h - 96, 2*h + 23*i = 27*i - 72 for h.
4
Solve -2*q + q = 0, 41*m - 44*m = -3*q - 39 for m.
13
Solve -3*c - 6*k = 60, -3*c - 14*k + 12 = -6*k - 10*k for c.
-2
Solve 4*q - 48 = -15*c + 11*c, 0 = -5*q - 14*c + 33 for q.
15
Solve j = -4*l - 170 + 156, 3*l = -j - 10 for j.
2
Solve 5*n - 509*c - 26 = -505*c, 70*n = c - 131 for n.
-2
Solve -834*g + 838*g = c + 25, -15*c - 50 = 5*g for c.
-5
Solve -2*v - 8 = 3*i, 3*i + 6509*v = 6514*v - 1 for i.
-2
Solve 7*f = 2*m - 3, -356565*f - 3*m = -356560*f - 20 for f.
1
Solve -2203*x + 2205*x = 3*j - 4, 3*j - 4*x - 8 = 0 for j.
0
Solve 18 = i - 2*r, 3*i + 103 = -3*r + 85 for i.
2
Solve 22 = -30*f + 28*f + 18*u, -u = -2*f - 5 for f.
-2
Solve -3*n = -51*l + 59*l + 47, -1 = -l + n for l.
-4
Solve s - g = 9, -19*g - 27 = -2*s - 16*g for s.
0
Solve 10*c - l = -53 + 14, -3 = 3*l for c.
-4
Solve 4*v = l - 252 + 262, 0 = -4*l - 4*v + 40 for l.
6
Solve 0 = -22*k + 153 - 219, m = 4*k + 13 for m.
1
Solve 20 = 5*q, -4 = 6*g + 4*q - 44 for g.
4
Solve -v - 17 = 4*m - 6, -4*m = -v + 5 for v.
-3
Solve 0 = 3*u - 2*g + 22, 29 = -2*g +
|
{
"pile_set_name": "DM Mathematics"
}
|
= -10*b - 81*b + 91 for b.
1
Solve -5*r + 67 = 52 for r.
3
Solve 61*w = 24*w - 333 for w.
-9
Solve 36 = -61*d + 52*d for d.
-4
Solve 280 - 275 = -q for q.
-5
Solve 7*q + 36 = 19*q for q.
3
Solve 2*l = -8*l - 10 for l.
-1
Solve 0 = -18*g - 8 - 28 for g.
-2
Solve 101*w - 27 = 74 for w.
1
Solve 4*p - 1 = 7 for p.
2
Solve -33 = 5*t - 13 for t.
-4
Solve 0 = -46*d + 14 - 14 for d.
0
Solve 18*b - 15*b = 15 for b.
5
Solve 9*l - 21 + 39 = 0 for l.
-2
Solve -22*j - 17 - 5 = 0 for j.
-1
Solve -256*s + 7 = -263*s for s.
-1
Solve -16*u + 75 = -31*u for u.
-5
Solve -5*m + 8 = -m for m.
2
Solve -70*h - 36 = -58*h for h.
-3
Solve -17*l = -16*l + 5 for l.
-5
Solve -18 = -0*u + 6*u for u.
-3
Solve 23*n = -27*n - 350 for n.
-7
Solve -55*k - 2*k + 513 = 0 for k.
9
Solve 0 = -14*j + 133 - 119 for j.
1
Solve 9*u - 42 + 60 = 0 for u.
-2
Solve -44 = 366*c - 370*c for c.
11
Solve 0 = -8*a - 3*a - 22 for a.
-2
Solve 8*r + 2 = 7*r for r.
-2
Solve 0 = 42*c - 38*c + 12 for c.
-3
Solve -14*s + 12 + 30 = 0 for s.
3
Solve -5924*m + 5934*m = 0 for m.
0
Solve -h = 70 - 69 for h.
-1
Solve 224 = -6*m + 194 for m.
-5
Solve -9*r + 8 = -28 for r.
4
Solve -15*n + 9*n = 6 for n.
-1
Solve -7*h + 3*h + 4 = 0 for h.
1
Solve 0 = -93*m + 94*m + 2 for m.
-2
Solve 7*d - 16 = 15*d for d.
-2
Solve 44*g - 37*g + 28 = 0 for g.
-4
Solve 0 = -10*s - 27 - 23 for s.
-5
Solve -o + 3*o = 6 for o.
3
Solve -6*b - 71 = -29 for b.
-7
Solve 39*i = 48*i for i.
0
Solve 4*w - 11*w = 28 for w.
-4
Solve -6*o - 49 = -19 for o.
-5
Solve 5*d - 82 = -57 for d.
5
Solve 3*h + 6 = -0*h for h.
-2
Solve 23 = -a + 25 for a.
2
Solve 48 = -42*o + 30*o for o.
-4
Solve 60*m - 98*m + 152 = 0 for m.
4
Solve -20*j + 9 = -17*j for j.
3
Solve 0 = 3*p - 48 + 51 for p.
-1
Solve 3*b + 40 = -7*b for b.
-4
Solve -6*i - 13 = -7 for i.
-1
Solve 15*s = -38 + 8 for s.
-2
Solve 8*i = 51 - 83 for i.
-4
Solve -454 + 486 = 8*f for f.
4
Solve 0 = l + 37 - 45 for l.
8
Solve 286*a - 287*a = -1 for a.
1
Solve 18*u + 242 - 314 = 0 for u.
4
Solve -5*j = -168 + 163 for j.
1
Solve 1246*d - 24 = 1238*d for d.
3
Solve -49*b + 108 = -186 for b.
6
Solve 10*z + 9 = -11 for z.
-2
Solve -4*c = 2*c - 12 for c.
2
Solve 0 = 14*z + 42*z + 49*z for z.
0
Solve -9 + 30 = -7*s for s.
-3
Solve 0 = -53*i + 21*i + 64 for i.
2
Solve -139*b - 927 = 463 for b.
-10
Solve -27*u + 22*u - 30 = 0 for u.
-6
Solve -32 = 21*f - 95 for f.
3
Solve 47*p - 81*p + 238 = 0 for p.
7
Solve 47*z = 48*z - 7 for z.
7
Solve 2*j - 9 = -5 for j.
2
Solve -5*t - 29 = -14 for t.
-3
Solve 21*u + 9 = 114 for u.
5
Solve -26*i = -9*i for i.
0
Solve 3 - 33 = -6*u for u.
5
Solve -23*m = -33*m - 60 for m.
-6
Solve 55 = -15*d + 160 for d.
7
Solve -10*c = 169 - 269 for c.
10
Solve -46 = -3*m - 34 for m.
4
Solve 2*l = 11 - 5 for l.
3
Solve -16*q = -12*q - 12 for q.
3
Solve -4*q = -298 + 290 for q.
2
Solve -22 = 7*x - 22 for x.
0
Solve -1147 = -2*w - 1169 for w.
-11
Solve -57*d = -96*d + 156 for d.
4
Solve 7 - 18 = 11*b for b.
-1
Solve -n + 8 = 9 for n.
-1
Solve 47 + 147 = -97*u for u.
-2
Solve -5 = 14*q + 23 for q.
-2
Solve 64*o + 363 = -21 for o.
-6
Solve 6*b + 10*b = 19*b for b.
0
Solve 39 + 25 = -8*o for o.
-8
Solve -30*f = 10*f for f.
0
Solve 13*t - 14*t = -4 for t.
4
Solve 539 = 13*y + 448 for y.
7
Solve 114*c - 108*c - 6 = 0 for c.
1
Solve 36 + 51 = 29*k for k.
3
Solve 1290*z = 1288*z + 2 for z.
1
Solve -2*n + 33*n = 186 for n.
6
Solve 41*o = 48*o + 35 for o.
-5
Solve 3*b = 947 - 971 for b.
-8
Solve 3*x = -37 + 25 for x.
-4
Solve -4*p + 7*p + 12 = 0 for p.
-4
Solve 152*b = 166*b + 84 for b.
-6
Solve -505*r = -483*r + 154 for r.
-7
Solve 3*o + 13 = 4 for o.
-3
Solve 0 = 4*w - 0*w - 5*w for w.
0
Solve -6*u - 11 + 35 = 0 for u.
4
Solve -4*m - 7 = -27 for m.
5
Solve 0 = z - 3 for z.
3
Solve 18 = -7*h - 10 for h.
-4
Solve 20*q + 14*q - 136 = 0 for q.
4
Solve -19*j - 12 = -16*j for j.
-4
Solve 0 = -27*f - 3*f + 150 for f.
5
Solve -15*o = -7*o for o.
0
Solve 0 = -15*h - 2807 + 2762 for h.
-3
Solve 84 = -19*p + 40*p for p.
4
Solve -26 = 6*n - 2 for n.
-4
Solve 6*g = -0*g + 24 for g.
4
Solve -21*g = 30*g - 153 for g.
3
Solve 5*b = 5 - 30 for b.
-5
Solve 0 = 10*w - 6*w - 20 for w.
5
Solve 10*n = 9*n - 5 for n.
-5
Solve 0 = 61*w - 78*w + 153 for w.
9
Solve -8*y + 12*y - 12 = 0 for y.
3
Solve 9*f - 11 - 25 = 0 for f.
4
Solve -18 = -12*w + 30 for w.
4
Solve -13*d + 7*d = -18 for d.
3
Solve 25 = -8*g + 1 for g.
-3
Solve -26*g + 2 + 50 = 0 for g.
2
Solve -4*q = -7*q + q for q.
0
Solve 4 = -q + 5*q for q.
1
Solve 5*x - 1151 + 1136 = 0 for x.
3
Solve 52 = -17*c - 33 for c.
-5
Solve 18 = 3*y - 12 for y.
10
Solve -4*q = -16*q + 72 for q.
6
Solve 5971*g - 5981*g = 70 for g.
-7
Solve -855*b + 864*b + 36 = 0 for b.
-4
Solve 0 = 5*w + 71 - 56 for w.
-3
Solve 6*d = 5*d - 5 for d.
-5
Solve 59 = 16*s - 21 for s.
5
Solve -6*l - 26 = -38 for l.
2
Solve -f + 57*f + 392 = 0 for f.
-7
Solve -4*w + 13*w = 0 for w.
0
Solve -47 = -3*l - 44 for l.
1
Solve -17*k = -31*k + 28 for k.
2
Solve 0 = -2*j - 24 + 22 for j.
-1
Solve -8*v + 9*v = 3 for v.
3
Solve 35*m - 40*m + 30 = 0 for m.
6
Solve -1804*k = -1800*k - 20 for k.
5
Solve 5*y - 8 = -3*y for y.
1
Solve 33 = 21*y + 54 for y.
-1
Solve -2*p = 3 + 3 for p.
-3
Solve 5*u + 20 = 15*u for u.
2
Solve 7 = -244*x + 251*x for x.
1
Solve 57 = 20*d - 43 for d.
5
Solve -29*s + 53*s = 0 for s.
0
Solve 11*v - 8 = -63 for v.
-5
Solve -156*z + 124*z = 0 for z.
0
Solve 8*m - 198 = -230 for m.
-4
Solve 47 = 6*q + 71 for q.
-4
Solve 12 = 4*t - 7*t for t.
-4
Solve -489*q - 22 = -500*q for q.
2
Solve 0 - 5 = o for o.
-5
Solve -806*a + 801*a = -25 for a.
5
Solve 13*u - 22 - 17 = 0 for u.
3
Solve 28*u = 29*u - 19*u for u.
0
Solve 15 = -61*f - 229 for f.
-4
Solve 15*v + 1 = -74 for v.
-5
Solve 314 = -109*z - 449 for z.
-7
Solve 7*w = -0 + 21 for w.
3
Solve 30 = -5*o + 20 for o.
-2
Solve 25*l + 14 = 89 for l.
3
Solve 2 = -t + 2*t for t.
2
Solve -178 = 62*o - 54 for o.
-2
Solve 5 - 15 = -2*g for g.
5
Solve -12*i + 343 = -61*i for i.
-7
Solve 49*j - 44*j + 5 = 0 for j.
-1
Solve 12*o - 8*o + 4 = 0 for o.
-1
Solve 25*c = -5 + 55 for c.
2
Solve -30*f + 5*f - 50 = 0 for f.
-2
Solve -26 = -28*j + 114 for j.
5
Solve 7*v = -37 + 2 for v.
-5
Solve -12 = -18*d + 21*d for d.
-4
Solve -27 = 996*s - 987*s for s.
-3
Solve 5 = 14*h + 33 for h.
-2
Solve -16 = 14*b + 26 for b.
-3
Solve -11 = 2*j - 3 for j.
-4
Solve 14*r + 2*r = 80 for r.
5
Solve 0 = 10*w + 5*w - 60 for w.
4
Solve 80*o - 84*o - 12 = 0 for o.
-3
Solve 133 = 397*y - 378*y for y.
7
Solve -144*k + 192 = -112*k for k.
6
Solve -110 = -6*b - 16*b for b.
5
Solve 12*k = -20 - 28 for k.
-4
Solve 25 = 5*x + 35 for x.
-2
Solve -k - 23 = -21 for k.
-2
Solve 0 = 5*f - 4*f - 4 for f.
4
Solve 8 + 2 = -2*d for d.
-5
Solve 948 = -3*z + 948 for z.
0
Solve -4*q - 159 = 49*q for q.
-3
Solve -5*r - 8*r = 39 for r.
-3
Solve 9*t = -27*t - 108 for t.
-3
Solve 21*n - 100 = n for n.
5
Solve -56 = 33*z - 5*z for z.
-2
Solve 17*b - 4 = 18*b for b.
-4
Solve 0 = -83*i + 18 + 231 for i.
3
Solve -32*l = -30*l for l.
0
Solve -6*z = -14*z + 24 for z.
3
Solve 32 = -13*a - 59 for a.
-7
Solve -197 = 40*h + 43 for h.
-6
Solve -31*r - 130 = 25 for r.
-5
Solve -75*s = -71*s + 8 for s.
-2
Solve 8*n + 64 - 56 = 0 for n.
-1
Solve 0 = -v - 11 + 6 for v.
-5
Solve 7*l - 10 = 2*l for l.
2
Solve 95*l = 86*l - 27 for l.
-3
Solve 0 = 65*p - 56*p - 18 for p.
2
Solve 5*i - 6 = 14 for i.
4
Solve 0 = -w - 140 + 143 for w.
3
Solve -235*i + 44 = -257*i for i.
-2
Solve -5 = -10*q + 9*q for q.
5
Solve 2*t - 10 - 10 = 0 for t.
10
Solve 46*z + 10 = 36*z for z.
-1
Solve 10*r - 35*r + 100 = 0 for r.
4
Solve -32 = 19*c + 6 for c.
-2
Solve -522*f - 36 = -518*f for f.
-9
Solve 2*z + 16 = 6 for z.
-5
Solve 6*g - 63 = -15*g for g.
3
Solve 0 = 10*w + 65 - 25 for w.
-4
Solve -668*j = -670*j + 4 for j.
2
Solve 28*q + 9 - 121 = 0 for q.
4
Solve 7*l = l - 24 for l.
-4
Solve 41*w = 42*w for w.
0
Solve 0 = -14*y + 3*y - 77 for y.
-7
Solve 0 = 5*k + 1035 - 1040 for k.
1
Solve -29 = 3*s - 17 for s.
-4
Solve 3*a + 52 = 16*a for a.
4
Solve 118 + 449 = -81*v for v.
-7
Solve 158*t - 165*t - 21 = 0 for t.
-3
Solve 5 = 2*d + 11 for d.
-3
Solve 3*c - 60 = 15*c for c.
-5
Solve 0 = -3*i + 4423 - 4399 for i.
8
Solve 23 = 4*q + 11 for q.
3
Solve -1 = -2*a - 5 for a.
-2
Solve 8 = l + 7 for l.
1
Solve 3*a - 6 + 3 = 0 for a.
1
Solve -6*x - 5 =
|
{
"pile_set_name": "DM Mathematics"
}
|
*4/30 + 4*i**3/15 - 4*i**2/5 + 4*i. Find u such that r(u) = 0.
2
Let k(n) be the third derivative of n**7/840 + n**6/360 - n**5/60 - 5*n**3/3 + 6*n**2. Let d(o) be the first derivative of k(o). Solve d(s) = 0 for s.
-2, 0, 1
Let q(s) = 8*s**2 - 22*s - 6. Let l(t) = -4*t**2 + 11*t + 3. Let z be 3/(-2)*(-104)/12. Let j(h) = z*l(h) + 6*q(h). Suppose j(m) = 0. Calculate m.
-1/4, 3
Let l be (-360)/(-35) + 2/(-7). What is j in 12*j**3 + 7*j**2 + 6*j - 3*j**4 - 12*j**2 - l*j**2 = 0?
0, 1, 2
Let w(o) be the first derivative of 0*o**2 - 3 + 1/15*o**4 + 0*o - 2/75*o**5 - 2/45*o**3. Factor w(c).
-2*c**2*(c - 1)**2/15
Solve 1/4*g**5 + 1/2*g**3 - 3/4*g - 1/2*g**2 - 1/4 + 3/4*g**4 = 0 for g.
-1, 1
Let a(z) be the first derivative of -3 - 21/5*z**5 - 2*z**3 - 27/4*z**4 + 0*z + 0*z**2. What is x in a(x) = 0?
-1, -2/7, 0
Suppose -2*g = 5*d - 212, -2*g + 172 = 4*d + 2*g. Let o = -122/3 + d. Factor 10/3*c**2 + o*c + 0 - 14/3*c**3.
-2*c*(c - 1)*(7*c + 2)/3
Let s(m) be the second derivative of 4*m**5/25 + 11*m**4/15 + 2*m**3/3 - 4*m**2/5 - 21*m. Factor s(d).
4*(d + 1)*(d + 2)*(4*d - 1)/5
Let t be ((-2)/2)/((-2)/8). Factor 2*o**t + 0 - 25*o**2 + 28*o**3 + 2*o**5 - 4 - 7*o**2 - 14*o**4 + 18*o.
2*(o - 2)*(o - 1)**4
Let o be 235/141*2/20*9. Factor 9/4*q**2 + o - 15/4*q.
3*(q - 1)*(3*q - 2)/4
Let -2*p**3 - 4 + 6*p + 0*p**3 + 3*p**3 - 3*p**3 = 0. Calculate p.
-2, 1
Let v(t) be the third derivative of -t**8/20160 + t**7/7560 + t**4/24 + t**2. Let j(d) be the second derivative of v(d). Let j(i) = 0. What is i?
0, 1
Find h, given that 0*h + 0*h**2 - 1/2*h**3 + 0*h**4 + 0 + 1/2*h**5 = 0.
-1, 0, 1
Find u, given that -1/4 + 1/4*u**2 - 1/4*u + 1/4*u**3 = 0.
-1, 1
Let c(t) be the second derivative of -10*t**4/21 - t**3/21 + t**2/7 + 22*t. Solve c(f) = 0.
-1/4, 1/5
Let b(f) be the third derivative of -f**7/735 + f**5/210 + 2*f**2. Determine z, given that b(z) = 0.
-1, 0, 1
Let f be 2*-3*(-2)/12. Let p be f - (3/(-3) - 0). Factor 0*t**p - 5*t**3 + t**2 - 3*t**2.
-t**2*(5*t + 2)
Suppose 20 = -2*h + 7*h - 2*j, 2*h + 4*j = -16. Let a be (-9)/(-3)*h/3. Find l such that -l**a - 2*l**2 + 0 + 6*l - 3 + 0 = 0.
1
Let -2/7*q**5 + 4/7*q**3 - 2/7 - 2/7*q - 2/7*q**4 + 4/7*q**2 = 0. Calculate q.
-1, 1
Let t(v) = -v - 5. Let z be t(-9). Let l = 2/7 + 3/14. Factor 1/4 - 1/2*a**3 - l*a**2 + 1/4*a**5 + 1/4*a**z + 1/4*a.
(a - 1)**2*(a + 1)**3/4
Let o(q) be the second derivative of q**7/70 - q**6/40 - 3*q**5/20 + q**4/8 + q**3 - q**2 + 2*q. Let t(n) be the first derivative of o(n). Factor t(z).
3*(z - 2)*(z - 1)*(z + 1)**2
Suppose -k = -4*k - 3. Let x be 0 + 0 + (-2)/k. Solve 4*p**5 + 4*p**4 - 2*p**5 - 2*p**2 - x*p + 0*p**4 - 2*p**2 = 0.
-1, 0, 1
Let v(w) be the third derivative of w**8/840 + w**7/105 + w**6/30 + w**5/15 + w**4/12 + w**3/2 - 4*w**2. Let z(p) be the first derivative of v(p). Factor z(k).
2*(k + 1)**4
Let h(v) be the second derivative of 3*v**5/20 + v**4 + 3*v**3/2 - 4*v. Factor h(x).
3*x*(x + 1)*(x + 3)
Let f = -558 - -561. Factor o + 1/3*o**f - 1/3 - o**2.
(o - 1)**3/3
Let s(v) = -v + 10. Let m be s(7). Suppose 0 = 2*q, -l = -2*l - m*q + 2. Factor 1/2*p**4 - 1/2*p**l + 0*p + 0 + 0*p**3.
p**2*(p - 1)*(p + 1)/2
Let 9/2*c**3 + 0 - 3*c**2 + 0*c + 9/2*c**4 - 3*c**5 = 0. What is c?
-1, 0, 1/2, 2
Find y such that 2/9*y**3 + 0 - 2/3*y**2 + 4/9*y = 0.
0, 1, 2
Let z = 359/18 + -39/2. Let d(w) be the first derivative of 1 + 1/12*w**4 + 2/3*w**2 + 0*w + z*w**3. Let d(g) = 0. Calculate g.
-2, 0
Let q be 1 + 1*-4*(-4)/48. Suppose -4*f + 25 = f, -2 = 4*b - 2*f. Let -8/3*v**2 - 10/3*v + b*v**3 + q = 0. Calculate v.
-1, 1/3, 2
Factor 9*s**4 - 39/2*s**3 - 6*s + 18*s**2 - 3/2*s**5 + 0.
-3*s*(s - 2)**2*(s - 1)**2/2
Let t(l) be the third derivative of l**6/420 - l**5/105 + l**4/84 - 7*l**2. Factor t(k).
2*k*(k - 1)**2/7
Let v(l) = -l**3 + 2*l**2 - 3*l. Let r be v(2). Let q be (-2)/r - (1 + -1). Find g, given that 1/3*g**4 + 1/3*g**5 - 1/3*g**3 + 0 - q*g**2 + 0*g = 0.
-1, 0, 1
Let o(t) = 2*t**3 - 8*t**2 + 2*t. Let b(h) be the second derivative of h**5/5 - 4*h**4/3 + 5*h**3/6 + 5*h. Let v(n) = -6*b(n) + 11*o(n). Factor v(d).
-2*d*(d - 2)**2
Suppose -12*s - 10*s**2 + 17*s + 30*s + 20 = 0. Calculate s.
-1/2, 4
Let x(u) be the third derivative of -u**5/30 + u**4/6 + u**3/2 - u**2. Let q(h) = -1. Let j(p) = 3*q(p) - x(p). Factor j(s).
2*(s - 3)*(s + 1)
Let r(u) be the second derivative of u**5/80 + u**4/12 + 5*u**3/24 + u**2/4 - u. Determine a, given that r(a) = 0.
-2, -1
Let v = 0 + 4. What is q in v*q**4 - 2*q + 3*q**2 - q + 3*q**3 - 7*q**4 = 0?
-1, 0, 1
Let t(b) = b**4 + b + 1. Let p(w) = -10*w**4 + 8*w**3 - w**2 + 5*w + 5. Let n(h) = 2*p(h) - 10*t(h). Find k, given that n(k) = 0.
0, 1/5, 1/3
Find v such that -3*v**2 - 12/7*v + 3/7*v**4 + 0 - 6/7*v**3 = 0.
-1, 0, 4
Let x(l) be the first derivative of l**4/4 + 5*l**3/3 + 4*l + 5. Let u be x(-5). Let 2/3*c**3 + 0 - 2/3*c**u + 0*c**2 + 0*c = 0. What is c?
0, 1
Factor -5*d - 5*d**3 + 5*d**2 + 0*d**3 + 5*d**2.
-5*d*(d - 1)**2
Suppose 3*q = -5*q + 32. Let v(g) be the first derivative of 4/3*g**3 + 0*g + g**2 + 1/2*g**q + 3. Find l such that v(l) = 0.
-1, 0
Suppose -5 - 3 = -4*p. Solve f**p + 11*f**2 + 2*f**3 + 16 + 20*f + 4*f = 0.
-2
Let v(o) = o**3. Let j(h) = -h**5 + 2*h**4 + 5*h**3 - 2*h**2 + h. Let w(z) = -j(z) + 5*v(z). Factor w(t).
t*(t - 1)**3*(t + 1)
Let c be (1 + 17)*4/8. Suppose -2*w + 3*o = o - 6, -2*o = 3*w - c. Factor -4*x**2 - 2*x**3 + 0*x**3 - x**w - x.
-x*(x + 1)*(3*x + 1)
Let r(o) be the second derivative of 3/80*o**5 - 3*o - 1/120*o**6 + 1/24*o**3 - 1/16*o**4 + 0 + 0*o**2. What is d in r(d) = 0?
0, 1
Let k(q) be the first derivative of 4*q**5/5 + 2*q**4 - 4*q**2 - 4*q + 6. Factor k(g).
4*(g - 1)*(g + 1)**3
Let t(f) be the third derivative of f**6/720 - f**5/60 + f**4/16 + 4*f**2. Solve t(k) = 0 for k.
0, 3
Let l(q) be the first derivative of -q**4/16 - q**3/4 + q**2/2 - 5. Factor l(g).
-g*(g - 1)*(g + 4)/4
Let b = 1195/4 - 297. Factor -1/2 - b*v**2 + 9/4*v.
-(v - 1)*(7*v - 2)/4
Let c(x) = -7*x**5 + 9*x**4 - 2*x**3 + 5*x**2 + 5. Let n(a) = 3*a**5 - 4*a**4 + a**3 - 2*a**2 - 2. Let o(y) = -2*c(y) - 5*n(y). Factor o(d).
-d**3*(d - 1)**2
Factor w + 2*w + w - 5*w**3 + w**3 + 40*w**2 - 40.
-4*(w - 10)*(w - 1)*(w + 1)
Find o, given that 1/4*o**2 + 1/2*o + 0 = 0.
-2, 0
Let q = -102 - -409/4. Solve -q*u**2 + 1/4*u + 0 = 0 for u.
0, 1
Suppose -2 = -4*l + 2*b + 8, 6 = 2*l - 2*b. Find t, given that -2*t - t - 2*t + 2*t - 3*t**l = 0.
-1, 0
Let r = 20 - 19. Let x(t) = -9*t**3 + 3*t**2 - 6*t. Let n(s) = s**3 + s. Let u(z) = r*x(z) + 6*n(z). Find b such that u(b) = 0.
0, 1
Let i = 890/3 - 296. Factor 2/3*a**4 + 0 + 0*a + 0*a**3 - i*a**2.
2*a**2*(a - 1)*(a + 1)/3
Let f(b) = b**3 + b**2 - 2*b + 2. Let k be f(2). Suppose 3*w = 2*g + k, -5*g - 2 = -4*g. Factor 2/5*j**3 + 0*j + 0 - 1/5*j**w.
j**2*(2*j - 1)/5
Let m(y) = -8*y**3 - y**2 + 37*y + 25. Let x(p) = 20*p**3 + 2*p**2 - 92*p - 62. Let i(b) = -12*m(b) - 5*x(b). Let i(t) = 0. Calculate t.
-1, 5/2
Let j(y) be the first derivative of -y**5/20 + 3*y**4/16 - y**3/4 + y**2/8 - 6. Factor j(u).
-u*(u - 1)**3/4
Let f = 54/5 - 643/60. Let r(b) be the first derivative of 1/8*b**2 - f*b**3 + 2 + 1/2*b. Let r(n) = 0. What is n?
-1, 2
Let g(b) be the first derivative of b**4 - 4*b**3 + 6*b**2 - 4*b - 2. Solve g(y) = 0.
1
Let b(r) = -2*r**2 - 10*r + 3. Let t be b(-5). Let -3/2*s**4 + 0*s**t + 3/2*s**2 + 0*s + 0 = 0. Calculate s.
-1, 0, 1
Let w(g) = g + 1. Let k(x) = 6*x + 17. Let n(r) = -k(r) + 4*w(r). Let p be n(-9). Suppose -q**3 + 5*q - p*q - q**2 = 0. Calculate q.
-1, 0
Let l(a) be the third derivative of 11*a**7/5880 - a**6/1260 - 2*a**3/3 - 6*a**2. Let d(s) be the first derivative of l(s). Solve d(c) = 0 for c.
0, 2/11
Let g(s) = -4*s**2 + 7*s - 5. Suppose 5*n - 8 = 17. Let u(z) = 3*z**2 - 6*z + 4. Let f(l) = n*u(l) + 4*g(l). Factor f(i).
-i*(i + 2)
Let j(v) = -3*v**4 - 18*v**3 - 39*v**2 - 24*v. Let s(m) = 6*m**4 + 36*m**3 + 79*m**2 + 49*m. Let b(l) = 13*j(l) + 6*s(l). Find d such that b(d) = 0.
-3, -2, -1, 0
Let n(r) be the first derivative of -r**8/420 - r**7/70 - r**6/90 + r**5/10 + r**4/3 + 8*r**3/3 + 7. Let q(i) be the third derivative of n(i). Factor q(j).
-4*(j - 1)*(j + 1)**2*(j + 2)
Let n(c) be the second derivative of c**5/50 + c**4/3 + 3*c**3/5 + 12*c. Factor n(r).
2*r*(r + 1)*(r + 9)/5
Let f(v) be the t
|
{
"pile_set_name": "DM Mathematics"
}
|
*u**3/6 + 21*u**2. Is r(-2) a composite number?
False
Let z = 740 + -504. Suppose -2*u + 5*y = z, 3*u - y + 354 = y. Let r = u - -197. Is r a prime number?
True
Is 609609/88 - 15/40 prime?
False
Let c(l) = -l**3 + 14*l**2 + 13*l + 3. Let r be c(11). Suppose -r = -5*f + 546. Is f composite?
False
Is 5522/4 - 18/(-36) prime?
True
Suppose -4*x - 2*v = -20, 5*v = 2*x + 4 + 10. Suppose a - 15 = -4*a - 5*f, -5*a - f = -x. Let c = a - -21. Is c composite?
True
Let p(v) = 9*v - 1. Let q be p(2). Let g(a) = -5*a**2 - 7*a - 1. Let t(x) = -14*x**2 - 22*x - 3. Let o(c) = q*g(c) - 6*t(c). Is o(11) prime?
True
Suppose v + 20 = -v. Let u = v + -45. Is 2652/10 + 11/u prime?
False
Let w(f) = 196*f**2 - f - 4. Let d(h) = -h**2 + 21*h + 25. Let k be d(22). Is w(k) a prime number?
False
Suppose 2*v = 5*s - v - 34, 5*s = -2*v + 19. Let u(b) = -b + 11. Let a be u(11). Suppose -s*r + 3*y + 1714 = a, 0*r = 4*r + 3*y - 1355. Is r a prime number?
False
Let l(h) = 26648*h - 9. Is l(1) a composite number?
True
Let m = -8 + 13. Suppose 3*q = m*q - 826. Is q prime?
False
Let t(s) be the third derivative of s**5/20 + s**4/3 - 5*s**3/6 + s**2. Let j be (-1)/(((-2)/(-1))/14). Is t(j) composite?
True
Let j(h) = 127*h**2 + 37*h - 243. Is j(16) a prime number?
False
Let w = -94 + 160. Let o be (-6)/4*w/(-11). Is 421/o + (-12)/(-54) a prime number?
True
Let d = -2148 - -1099. Let p = d + 2008. Is p composite?
True
Suppose -6*w + 20802 = -19812. Is w a prime number?
False
Suppose -29*o + 2*r = -26*o - 8, 2*o = -2*r + 12. Let c be (5402/4)/(1/2). Suppose c = 3*z - 4*s, o*z - 4*s - 4061 + 465 = 0. Is z prime?
False
Let l(u) be the second derivative of -u**4/12 + 5*u**3/6 + 4*u**2 + 2*u. Let b be l(6). Suppose 72 + 62 = b*v + 5*f, 2*v - 2*f = 162. Is v composite?
True
Let a = -71 + 75. Suppose -879 = i - a*i. Is i a composite number?
False
Is 2/((-3)/(-3761)*2)*3 a composite number?
False
Let r = 35772 + -9775. Is r composite?
False
Is 3833/(((-4)/(-1))/4) a composite number?
False
Let x(p) = -209*p + 23. Is x(-6) a prime number?
True
Suppose -24 = -o + 17. Let i = o - 23. Let k = 44 - i. Is k a prime number?
False
Let i(j) = 97*j - 7. Let p(u) = -49*u + 3. Let z(f) = 4*i(f) + 9*p(f). Let b be z(8). Let y = b - -624. Is y a prime number?
True
Suppose -2*o = v + 4, -o - v - 2*v + 8 = 0. Is (274/o)/((-5)/50) prime?
False
Let r be (-4)/(-2) + 2608/2. Let g be (3/(-9))/((-1)/3). Is 0/g + r/2 a prime number?
True
Is 1182/78 + -15 + (-388997)/(-13) composite?
True
Suppose -270*w + 257*w - 7228 = 0. Let o(y) = -16*y**2 + 5*y - 3. Let p be o(5). Let n = p - w. Is n a prime number?
False
Let u be (-1 + 1649)/((-10)/(-10)). Suppose -u = -8*v + 2344. Is v a composite number?
False
Let d = 35535 + -20924. Is d a prime number?
False
Suppose 6*j - 2*j + 2067 = s, 0 = 2*s + 2*j - 4104. Suppose 5*b - s = 2*q - 0*q, 0 = -4*q. Is b prime?
False
Let a be (-1050)/(-8) - (-1)/(-4). Let j = 28 - -306. Let w = j - a. Is w composite?
True
Suppose -5*v - v = -5472. Suppose -v = -j + 569. Is j composite?
False
Let m(a) = -2*a**3 - 4*a**2 + 16*a - 23. Is m(-19) a prime number?
False
Suppose 149 + 1 = -5*v. Let a be 15/(-2)*20/v. Suppose -n - i = 3*i - 317, -3*n = -a*i - 951. Is n a prime number?
True
Let i(g) be the first derivative of -27*g**2/2 - 40*g - 11. Is i(-17) a prime number?
True
Let n = -21 + 24. Suppose 133 = n*u + 4. Is u a prime number?
True
Suppose g + g + 4*u - 22 = 0, -16 = -2*g + 2*u. Is (-23)/(-2)*(13 + g) a prime number?
False
Let d be 35 + ((-2)/(-1) - 0). Suppose -218 = 35*s - d*s. Is s composite?
False
Suppose -20*o + 447402 = 53942. Is o prime?
False
Suppose 66263 = 48*x - 269209. Is x composite?
True
Let r be -91*(184/28 + -4). Let c = r - -1399. Is c composite?
True
Suppose f = 3*n - 234, 3*n - 4*n - 2*f + 71 = 0. Let o be (-4)/(-6) - 2/3. Suppose -d + o*d + n = 0. Is d a prime number?
False
Suppose 27 = 4*x + t + 4*t, 5*x = 5*t. Let p(g) = -14*g - 2 + x + 51*g. Is p(4) prime?
True
Let j be -3 + (-6)/(-2) + 4 + -4. Suppose 3*a = -d - j*a + 197, 2*d = -4*a + 400. Is d prime?
False
Let t(l) = -2*l**2 - 8*l - 3. Let z be t(-2). Suppose 5*p + 7*f = 3*f + 3331, z*p = 5*f + 3340. Is p a composite number?
True
Suppose -83*u = -66*u - 150433. Is u prime?
True
Suppose 86457 = 5*s - a, 5*s + 0*s - 86461 = 3*a. Is s a composite number?
False
Let k(v) = v + 18. Let q be k(-10). Let b = 11 - q. Suppose 4*d - 3*f = 139, -2*f + b*f = -3*d + 88. Is d a composite number?
False
Suppose 64 = 7*b - 48. Is (-8)/b + 5386/4 a prime number?
False
Suppose -2*k + 31798 - 5236 = 0. Suppose -5*h - 6*i = -4*i - k, -7973 = -3*h + i. Is h a prime number?
True
Let v(o) = 1476*o + 1. Let d(t) = 3*t + 22. Let f be d(-7). Is v(f) a prime number?
False
Let j(f) = 4*f**3 - 11*f**2 + 3*f**3 + 9*f - 6*f**3 + 3 + 9. Let g be j(10). Is (g/(-1))/((-4)/116) a composite number?
True
Let p = -4928 - -7627. Is p prime?
True
Let z(c) be the second derivative of 303*c**3/2 - c**2/2 - 2*c + 35. Is z(2) a composite number?
True
Let f(q) be the first derivative of q**7/840 + q**6/40 + q**5/20 - 3*q**4/8 - 5*q**3/3 + 2. Let j(l) be the third derivative of f(l). Is j(-7) composite?
False
Let t(r) = r**3 + 7*r**2 + 7*r + 7. Let y be t(-6). Let w be (18 - 19)*y*-4. Suppose -2*g - 6 = 0, 3*h = w*h - 3*g - 340. Is h composite?
False
Let b be 2/8 + 42/24. Suppose b*z = 75 + 507. Is z a prime number?
False
Suppose -x = -2*x + 4*y + 111, -x + 76 = 3*y. Is x composite?
True
Let q(u) = -u**3 + u + 187. Suppose -m + 13 = 5*w, 2*w + 2 = 3*m - 3. Suppose -5*x + 2 = -3*h + 14, -w*h = x - 8. Is q(x) prime?
False
Let t(c) be the first derivative of 10*c**3/3 - 11*c**2/2 + 12*c + 6. Is t(9) a composite number?
True
Let j(i) = 14*i**2 - 7*i + 5. Is j(-9) prime?
False
Suppose 76 = 3*x - 4*v - 22, 0 = -3*x - 2*v + 86. Let i = 25 - x. Is 3 + (-1975)/i + -3 a composite number?
True
Let t(a) = 3*a**3 + a**2 - 1. Let p be t(1). Suppose 0 = p*h - 152 - 313. Let g = h + -104. Is g composite?
True
Let o(t) = 80*t + 7. Let s be (0 - 5)*14/(-10). Let l be o(s). Suppose 4*c - 797 = l. Is c composite?
True
Let z = 7948 - 2075. Is z a composite number?
True
Let u(n) = 4*n**2 + 22*n**2 - 7*n**2 + 27*n**2 + 9. Is u(-4) prime?
False
Let k = 2762 + -961. Is k prime?
True
Let y(k) = -11*k**3 - 11*k**2 - 19*k - 10. Let j be y(-6). Is (j/6)/((-14)/(-21)) prime?
True
Let v(g) = -g**2 - 8*g - 12. Let r be v(-3). Suppose 1443 + 3240 = r*y. Is y composite?
True
Let o = 73 - 92. Let t(q) = -9*q - 44. Is t(o) a composite number?
False
Suppose l + 30 + 151 = 0. Let n = l + 255. Is n composite?
True
Let g(j) = 3*j**2 - 5*j**2 + 0*j**2 + j + 5*j**2 + 31*j**3 + 10. Is g(3) prime?
True
Let j(p) = p**3 + 8*p**2 + 4. Let b be j(-8). Suppose -b*c - 768 = -2*d - 2*c, -756 = -2*d - 2*c. Is d prime?
False
Suppose -5*z - 48670 = -5*t, t - 19471 = -t + 5*z. Is t prime?
True
Suppose -391 - 1107 = -2*w. Is w a prime number?
False
Suppose -21*o - 4*b + 18077 = -16*o, 3*o - 10824 = 5*b. Is o composite?
False
Suppose -3*f + 5*f + 40 = 2*d, -38 = 2*f - d. Let m = f + 115. Is m prime?
True
Let i = 18802 + -7451. Is i composite?
False
Suppose 3*o - 32022 = -3*c + 70524, c - 34188 = 5*o. Is c prime?
True
Let a = -35 + 37. Suppose -2 = a*h, -550 + 4597 = 4*g - 3*h. Is g composite?
True
Suppose 0*y = -8*y + 458776. Is y a composite number?
False
Let y = 2 - -1. Let c(a) = a**3 - 3*a**2 + a + 3. Let v be c(y). Suppose -v*j = -4*j - 42. Is j a prime number?
False
Let n(x) = -x + 4. Let m be n(4). Suppose -2*s + 7*s - 15 = m. Suppose 5*p - 461 = s*f + 293, 0 = f + 3. Is p a prime number?
True
Let f = -3485 + 5044. Is f a prime number?
True
Let j(g) = -40*g + 17. Let k be j(10). Let f = k + 645. Is -2 + f + -1 + 4 prime?
True
Suppose 0 = -13*o + 15*o - 4066. Suppose -5837 = 5*d + o. Is 6/(-15) - d/10 a composite number?
False
Suppose -5*p = -3 - 12. Let j = -264 + 651. Suppose 24 = -p*a + j. Is a a composite number?
True
Let j be 1/((-1)/4 - 0). Let b be (1048/(-1))/j - 2. Suppose x + g = b, 2*g - 3 = -g. Is x a composite number?
True
Let q = 232 - 11. Let i = -158 + q. Suppose -i = -2*o + 31. Is o composite?
False
Suppose 15 - 51 = -6*k. Let a(s) be the second derivative of s**5/10 - 3*s**4/4 + 7*s**3/6 - 7*s**2/2 + s. Is a(k) prime?
False
Let g be (-28)/42*(-3)/(-2). Is ((-8)/12 - g)/(2/23394) a prim
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of 1/20*r**5 + 0*r - 2*r**t - 2*r**2 + 0 + 0*r**4. Factor i(v).
3*(v - 2)*(v + 2)
Suppose 6/5 - 4/5*x**2 + 1/5*x + 1/5*x**3 = 0. What is x?
-1, 2, 3
Let x = -67 + 15. Let i = x - -55. Determine t, given that -2/9*t**5 - 8/9*t**2 - 16/9*t**i + 0*t + 0 - 10/9*t**4 = 0.
-2, -1, 0
Suppose 95*a - 112*a = 0. Let m(i) be the third derivative of 9*i**2 + 2/3*i**3 + a + 0*i + 5/12*i**5 - 5/6*i**4. Factor m(s).
(5*s - 2)**2
Let i = -16347/28 - -2349/4. Let -512/7*m + 1/7*m**4 + 192/7*m**2 - i*m**3 + 0 = 0. What is m?
0, 8
Let c(l) = -l**2 + 82*l - 1645. Let j be c(47). Find h such that 1/2 - 1/2*h**2 + j*h = 0.
-1, 1
Let v(l) be the second derivative of -l**5/40 + 11*l**4/12 + 47*l**3/12 + 6*l**2 + 148*l. Solve v(n) = 0.
-1, 24
Suppose 23*z + 22 = 19*z + 5*o, 5*z = 20*o - 110. Factor -1/2*k**z + 0*k + 1/4*k**3 + 0.
k**2*(k - 2)/4
Factor 0 + 78/11*d**2 + 0*d - 2/11*d**3.
-2*d**2*(d - 39)/11
Suppose 13 = -6*d + 19. Let l be d/6*-3 + (-69)/(-10). What is n in -128/5*n - 4/5*n**4 - 96/5*n**2 - 64/5 - l*n**3 = 0?
-2
Factor 2/9*p**3 - 4/9*p - 1/3*p**2 + 1/9*p**4 + 4/9.
(p - 1)**2*(p + 2)**2/9
Let j be (4/(-8))/(3/((-3)/2)). Let k(w) be the second derivative of 0 + 7*w + 3/2*w**3 - j*w**4 - 3*w**2. Let k(t) = 0. Calculate t.
1, 2
Let f = 13 + -46. Let a = f + 35. Suppose 1/4*u**3 + 0*u**a - 3/4*u - 1/2 = 0. What is u?
-1, 2
Suppose -5*l = 2 - 32. Let x(b) = 4*b - 20. Let c be x(l). Find d such that 3*d**2 - d**4 - 2*d**c - 2 + 2 = 0.
-1, 0, 1
Solve 17/4*b**2 + 1/4*b**3 + 147/4 + 91/4*b = 0 for b.
-7, -3
Let u = -58 - -39. Let o = u + 19. Suppose o + 1/2*d - 1/4*d**2 = 0. Calculate d.
0, 2
Let b(i) be the first derivative of -i**5/40 + 19*i**4/8 - 683*i**3/12 - 741*i**2/4 - 1521*i/8 - 452. Factor b(v).
-(v - 39)**2*(v + 1)**2/8
Let y be ((-1140)/760)/((-3 + 1)/4). Factor -8/3*i**y - 8/3*i - 4*i**2 - 2/3*i**4 - 2/3.
-2*(i + 1)**4/3
Let n(l) be the first derivative of 3*l**4/8 - 11*l**3/2 + 18*l**2 + 54*l + 300. Find u such that n(u) = 0.
-1, 6
Let g(n) be the third derivative of n**5/90 - n**4/3 - 64*n**3/9 - 452*n**2. Factor g(q).
2*(q - 16)*(q + 4)/3
Let a(q) be the second derivative of 1/12*q**5 + 0 + 5/36*q**4 + 0*q**2 + 0*q**3 - 18*q. Find g such that a(g) = 0.
-1, 0
Let c be 1/(-5) + 92/(-40) + 2. Let q = 11/6 + c. Factor -4/3 - 1/3*l**2 + q*l.
-(l - 2)**2/3
Let h = 101 - 98. Suppose 3*g = h*j - 9, -2*g + 3 = 2*j + 9. Factor -27/4*s**3 + 0 + j*s - 3/2*s**2 - 21/4*s**4.
-3*s**2*(s + 1)*(7*s + 2)/4
Let i(y) = y**3 + 2*y**2 - 2*y + 6. Let k be i(-3). Suppose 2*c**4 + 6*c - 6*c**k - 4*c**4 - 17*c**2 + 15*c**2 + 4 = 0. Calculate c.
-2, -1, 1
Let a(y) be the first derivative of -1 + 1/180*y**5 + 1/36*y**4 + 0*y**3 + 3*y**2 + 0*y. Let w(m) be the second derivative of a(m). Factor w(l).
l*(l + 2)/3
Suppose -30/7*z**3 + 18/7 + 0*z**2 + 33/7*z - 3/7*z**5 - 18/7*z**4 = 0. Calculate z.
-3, -2, -1, 1
Factor 0 - 1/5*c**2 + 10*c.
-c*(c - 50)/5
Let s = 1003/288 + 7/96. Factor 208/9*f + 184/9*f**2 + s + 44/9*f**3.
4*(f + 2)**2*(11*f + 2)/9
Let q = 32 + -28. Let s(r) be the first derivative of 0*r**2 + 2 - 2/55*r**5 + 0*r**q + 0*r + 2/33*r**3. Factor s(n).
-2*n**2*(n - 1)*(n + 1)/11
Let j = -402 + 404. Let o(z) be the first derivative of j + 1/15*z**3 - 2/5*z + 1/10*z**2. Find y such that o(y) = 0.
-2, 1
Let q be 1/((-27)/6) - 94/(-18). Determine y so that 69*y - 10*y**4 - 2*y**3 - 69*y - 3*y**3 - q*y**5 = 0.
-1, 0
Let f(l) = 5*l**4 - 199*l**3 + 960*l**2 - 1321*l + 566. Let h(b) = -b**4 + 40*b**3 - 192*b**2 + 264*b - 113. Let y(r) = 2*f(r) + 11*h(r). Solve y(n) = 0.
1, 3, 37
Let j(c) be the second derivative of c**4/4 - 114*c**3 + 19494*c**2 - 919*c. Find o such that j(o) = 0.
114
Let -15*a + 36*a - 4*a**2 - 5*a**3 - 37*a**2 - 96*a + 135 - 14*a**2 = 0. What is a?
-9, -3, 1
Factor 8/3*d**2 + 2*d - 12 - 2/3*d**3.
-2*(d - 3)**2*(d + 2)/3
Let b(v) be the third derivative of -2*v**7/525 - v**6/150 + v**5/75 + v**4/30 + 67*v**2. Find p, given that b(p) = 0.
-1, 0, 1
Let h(s) be the third derivative of 0 - 1/15*s**5 + 1/6*s**4 + 4/3*s**3 + 0*s + 16*s**2. Suppose h(d) = 0. What is d?
-1, 2
Let k(q) be the second derivative of q**5/90 - q**4/54 - 26*q**3/27 - 8*q**2/3 - 3*q + 45. Find a, given that k(a) = 0.
-4, -1, 6
Let j(t) be the second derivative of t**4/60 + 163*t**3/15 + 26569*t**2/10 + 103*t. Solve j(k) = 0.
-163
Let o(b) be the second derivative of 0*b**4 + 0 + 1/6*b**6 + 0*b**2 + 0*b**3 + 1/4*b**5 - 48*b. Solve o(c) = 0 for c.
-1, 0
Suppose 3 + 18 = 3*k. Let n be (6 + 2)*k/28. Factor 0 - 1/2*q**3 + 1/2*q**n + 1/2*q - 1/2*q**4.
-q*(q - 1)*(q + 1)**2/2
Let s be (-110)/(-11)*1*(-2)/(-4). Factor -6*n**3 + 2*n + s*n**3 - 2*n**4 + 2*n**2 - n**3.
-2*n*(n - 1)*(n + 1)**2
Let n(d) = 2 - 2 + 9*d**2 + 6*d**3. Let i(r) = -3*r - 2*r + 0*r + 17*r**3 + 6*r + 26*r**2. Let c(o) = -3*i(o) + 8*n(o). Find s, given that c(s) = 0.
-1, 0
Let x(r) be the third derivative of -4/45*r**5 - 5/18*r**4 + 0*r + 1/30*r**6 + 4/9*r**3 + r**2 - 9. Factor x(d).
4*(d - 2)*(d + 1)*(3*d - 1)/3
Let h(i) = 12*i**2 - 549*i + 37002. Let w(u) = -5*u**2 + 274*u - 18500. Let s(a) = -6*h(a) - 15*w(a). Determine j so that s(j) = 0.
136
Let y(b) = -4*b**2 - 142*b - 298. Let g(x) = 11*x**2 + 283*x + 597. Let d(u) = -2*g(u) - 5*y(u). Factor d(a).
-2*(a - 74)*(a + 2)
Let u(d) = 3 - 2 - 3*d**3 + 14 - 21*d**2 + 0*d**3 - 18*d. Let r(n) = n**2 + n - 1. Let x(i) = -15*r(i) - u(i). Determine q so that x(q) = 0.
-1, 0
Factor 3/2*d**4 - 7/6 + 1/6*d**5 - 5/2*d - 1/3*d**2 + 7/3*d**3.
(d - 1)*(d + 1)**3*(d + 7)/6
Factor 575 - 602 - 17*g**3 - 72*g**2 - 78*g + 3*g**4 - g**3.
3*(g - 9)*(g + 1)**3
Let i(q) be the first derivative of -27 - 3/4*q**4 + 0*q**2 - q**3 + 0*q. Factor i(d).
-3*d**2*(d + 1)
Let n(f) be the second derivative of 0*f**2 - 10/3*f**3 - 10/3*f**4 - 26*f + 1/4*f**5 + 0 + 1/3*f**6. Factor n(g).
5*g*(g - 2)*(g + 2)*(2*g + 1)
Suppose -27*p + y = -29*p + 3, 3*p + 3*y = 0. Let j(z) be the second derivative of 0 + 1/2*z**p + 1/3*z**4 - 6*z - 1/2*z**2. Factor j(k).
(k + 1)*(4*k - 1)
Let s(g) = -3*g**2 + 8*g - 11. Let j(r) = 3*r**2 - 8*r + 10. Let y(p) = 5*j(p) + 4*s(p). Let w(z) = 3*z**2 - 7*z + 5. Let c(o) = -6*w(o) + 5*y(o). Factor c(k).
-k*(3*k - 2)
Let f be 6 + -12 + 10/1. Let u(l) be the third derivative of 3*l**2 + 1/240*l**5 - 1/840*l**7 + 0*l**3 + 0*l**f + 0*l**6 + 0 + 0*l. Factor u(m).
-m**2*(m - 1)*(m + 1)/4
Let z(k) be the third derivative of k**8/6720 + k**7/840 + 7*k**4/8 - k**2. Let x(d) be the second derivative of z(d). Factor x(h).
h**2*(h + 3)
Let d(i) be the second derivative of -i**4/60 + 2*i**3/15 - 2*i**2/5 + 75*i. Factor d(l).
-(l - 2)**2/5
Let u(d) be the third derivative of 1/42*d**7 + 0*d + 0*d**3 + 1/24*d**6 - 1/12*d**5 - 5/336*d**8 + 10*d**2 + 0 + 0*d**4. Solve u(p) = 0 for p.
-1, 0, 1
Let h = -48/25 + 58/25. Let y(j) be the first derivative of -2/25*j**5 + 3 + 0*j + 1/5*j**2 - h*j**3 + 3/10*j**4. Determine a, given that y(a) = 0.
0, 1
Let c(h) be the third derivative of -h**8/784 - h**7/490 + 9*h**6/280 + h**5/28 - 2*h**4/7 - 6*h**3/7 - 216*h**2. Let c(f) = 0. What is f?
-3, -1, 2
Suppose 2*h - 71 = h - 4*c, 0 = -3*h - 5*c + 199. Let g be (-3*(-8)/(-36))/((-70)/h). Factor 2/5 - 1/5*d**4 + d - 1/5*d**3 + g*d**2.
-(d - 2)*(d + 1)**3/5
Find q such that -3688*q - 13438*q**2 - 22862*q**2 - 3*q**5 - 8641*q - 19615*q - 4554*q**3 - 201*q**4 = 0.
-22, -1, 0
Suppose 2*s + 14 = 22. Let h(n) = -7*n**3 + 4*n**2 - n. Let l(o) = 6*o**3 - 3*o**2. Let v(j) = s*l(j) + 3*h(j). Let v(r) = 0. What is r?
-1, 0, 1
Let i = 7624 + -7622. What is a in -i - 63/2*a**2 - 49/4*a**3 - 15*a = 0?
-2, -2/7
Determine q, given that 12/7*q**2 - 4/7*q + 0 - 8/7*q**3 = 0.
0, 1/2, 1
Let g(w) be the first derivative of 0*w + 1/20*w**6 - 7/2*w**2 + 0*w**3 + 1/4*w**5 - 4 + 1/4*w**4. Let k(j) be the second derivative of g(j). Factor k(b).
3*b*(b + 2)*(2*b + 1)
Let b = 1 - -3. Suppose b*j = -0*j + 24. Factor -p + 4*p - j*p - 9*p**2 - 3 - 6*p - 3*p**3.
-3*(p + 1)**3
Let z be (-48)/(-14) + 1 + 1354 + -1357. Factor 2/7*h**3 + 12/7 - z*h - 4/7*h**2.
2*(h - 3)*(h - 1)*(h + 2)/7
Let p(c) = -c**4 - c**3 + c - 1. Let m(v) = -4*v**4 + 6*v**3 - v + 1. Let s = -90 + 91. Let u(y) = s*p(y) + m(y). Suppose u(o) = 0. What is o?
0, 1
Suppose -7/5*a**2 + 1/5*a**3 - 8/5 + 14/5*a = 0. What is a?
1, 2, 4
Suppose -4*u + 12 = 32*t - 34*t, 12 = 4*u + 2*t. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
37*y**2 - 45*y + 36. Let d(r) = -34*r**2 + 11*r - 9. Let o(x) = -9*d(x) - 2*q(x). Let v = 12 - 16. Is o(v) a prime number?
True
Let f = -7427 - -3959. Let k = f + 6509. Is k composite?
False
Suppose -240*r + 73697 = -227*r. Let c = r - -9942. Is c composite?
True
Let l = 2583 - -8656. Is l composite?
False
Suppose -s = -2*w + 50147, -31*w + 4*s = -30*w - 25077. Is w a composite number?
False
Suppose c + 7250 - 2716 = 0. Let a = c - -10005. Is a prime?
True
Suppose 6*k = 8*k - 54. Let c = k + -29. Is 1/2 - 0 - 147/c a prime number?
False
Let b(u) = -855*u + 1. Let h be b(-2). Let y = h + -1026. Is y a composite number?
True
Let q(t) = 2262*t**2 - 121*t - 1028. Is q(-9) prime?
True
Let t be (-12)/(-66) + (-1)/((-33)/390). Suppose t*h = h + 45166. Is h a prime number?
False
Let j = 205 - 328. Is (574/j)/((-4)/1506) a composite number?
True
Let q = -1004 - -31827. Is q prime?
False
Let z = 164707 - 67814. Is z composite?
False
Suppose -5*k + 357493 = -2*u, -u = -25*k + 23*k + 142996. Is k a prime number?
False
Let n(w) = -3*w + 5*w**2 + 3*w + 4*w - w**3 + 2 - w**2. Let b be n(4). Suppose b = -4*r + 142. Is r a prime number?
True
Is ((-6)/(-18))/(((-14)/(-3499503))/2) composite?
False
Let g(i) = i + 16. Let h be g(-3). Let o(v) = 0 + 11*v + 2*v**3 - 3*v**2 - 5 - 2*v**2 - h*v. Is o(6) a prime number?
False
Suppose -1751 - 3014 = -c. Let z = 8174 - c. Is z prime?
False
Suppose -7*i + 312215 = -257592. Is i a composite number?
False
Let g(z) = -z**2 - z + 28. Let b be g(0). Suppose 2*n + 0*n = 5*f + 42, 0 = 2*n + 2*f - b. Is -1942*((-56)/n + (3 - 1)) a composite number?
True
Suppose i - 3 = 4*g - g, -i = -3. Is (1/(-3) - g) + 199326/9 a composite number?
False
Let d(s) = 3*s**2 - 2*s + 23. Let x be d(7). Suppose 3*u = 183 + x. Is u composite?
False
Suppose 19*m = -16*m - 234675. Let l = 3106 - m. Is l composite?
False
Let b(p) = 27*p**3 - 4*p**2 + 2*p - 6. Let n(l) = -l**2 + 10*l - 20. Let s be n(8). Let a be b(s). Let z = a - -3385. Is z a prime number?
True
Let b be 466*12 + (-20)/5 + 0. Suppose -b = -9*i - 13*i. Is i prime?
False
Let m(t) = -12227*t - 557. Is m(-20) prime?
False
Suppose 28*k - 641484 - 1132232 = 0. Is k prime?
True
Let r(z) = -z + 15. Let i be r(13). Let a(m) = 25*m**i + 47*m**3 + 8*m - 19 - m - 29*m**2. Is a(4) a composite number?
False
Let h(t) = t**3 + 50*t**2 - 10*t + 49. Is h(-36) a composite number?
False
Suppose -21*l + 62*l = 11*l + 2301630. Is l a composite number?
True
Suppose 16 = -4*s, 2*y - 2*s - 40 = -2*y. Suppose -11*i + 7011 = -y*i. Suppose -2609 = -2*g + i. Is g a composite number?
False
Let p(f) = 82346*f**2 - 7*f - 3. Is p(2) prime?
False
Suppose 3*p - 105827 = -22427 + 83661. Is p composite?
True
Let a(w) = 83*w + 4. Let v(y) = -5*y + 31. Let z = -56 + 62. Let j be v(z). Is a(j) composite?
True
Let x(w) = 296*w - 4575. Is x(22) a composite number?
True
Suppose 0 = 2*a - 5*b + 50, 4*a + 134 = -5*b + 64. Is -8*a/32 - (-7783 - 1) a composite number?
False
Is (-4)/6 - (-273229)/177 a composite number?
False
Let s = 38 - -73. Suppose 5*m + 36 = 2*x + 9, -x - 6 = 4*m. Suppose 4*k - 148 = q - x*q, 3*k - 2*q = s. Is k prime?
True
Let p = 7610 - 7610. Let h(u) be the third derivative of u**4/4 + 701*u**3/6 - 2*u**2. Is h(p) a composite number?
False
Suppose 25*f - 70*f + 1978546 = -6432989. Is f a prime number?
False
Let l(k) = 87*k**3 - 2*k**2 - 3*k - 1. Let c be -2 + 24/16 + 2/(-4). Let a be l(c). Let v = 244 + a. Is v a prime number?
True
Suppose 0 = -f - 7*f + 13544. Suppose 17764 = 11*o + f. Is o prime?
False
Is (27/(-63))/(21/(-7520863)) a composite number?
False
Suppose 54*j = 34293474 + 8171964. Is j a composite number?
True
Suppose 2*z + 1298 = f - 818, -4*f + 3164 = -3*z. Let s = 717 - z. Is s composite?
False
Let g be ((0 - 0)/(27 + -29))/1. Let d(h) = -3*h**2 - 2*h + 953. Is d(g) composite?
False
Let c(p) = -2*p**2 + 29*p + 20. Suppose -45 = -2*f - f - 3*l, 0 = 4*l + 4. Let r be c(f). Let y = r + 107. Is y a prime number?
True
Let p be (27/(-18))/((-1)/2) - -9. Let b be (40/p)/(4/(-6)). Is ((-978)/10 - 10/5)*b a prime number?
True
Is 89348/(-8)*(4 + 1)/(10/(-4)) a composite number?
True
Let h(b) = 55*b + 8. Let p(s) = s**2. Let q be p(-2). Let c be h(q). Let v = c - -1573. Is v a composite number?
False
Let b(l) = -l**3 - 2*l**2 - 4*l + 18589. Is b(0) prime?
False
Suppose -3*q = -4*q + 5. Suppose q*d = 5*o, 5*d = 2*o - 6 - 3. Is (149/d)/(2/(-18)*3) composite?
False
Suppose 2*d - 254879 = -21*k + 26*k, -5*k + 1274485 = 10*d. Is d a composite number?
False
Let n(p) be the third derivative of -365*p**4/24 - 2*p**3/3 + 22*p**2. Let j be n(1). Let c = 880 + j. Is c a prime number?
False
Let s = 4265814 - 2783745. Is s a composite number?
True
Let z be 4/(-16)*-4*(-891 + 0). Let o = z + 1778. Is o prime?
True
Suppose 6*i + 54458 - 2396 = 0. Let d = i + 21258. Is d composite?
True
Let v(q) = 7*q**2 - 12*q - 49. Let o be v(30). Let w = o - 1344. Is w a prime number?
True
Let m(g) = g**2 - 2. Let v be m(7). Let z = v - 66. Let h(j) = j**3 + 20*j**2 + 16*j - 11. Is h(z) a composite number?
True
Suppose -12956 = w + 4*j - 1223, -2*j - 10 = 0. Let k = -7386 - w. Is k a composite number?
False
Suppose 0 = -92*h + 87*h + 42855. Is h composite?
True
Let a = -15 - -11. Let g(u) = -7*u**3 - 31729*u + 63463*u - 31729*u - 3*u**2 - 1. Is g(a) a composite number?
False
Suppose -40*d + 16481212 = -567948. Is d composite?
False
Let t be 2 + (-9)/((-9)/2). Let n be 1 + -4 + t - -1. Suppose -2*k = 4*d - 206 - 598, 0 = n*k + 4. Is d a composite number?
True
Suppose -132*y - 8545221 + 20992526 = -11259763. Is y a prime number?
False
Suppose 0 = v - 232676 - 111131. Is v a prime number?
False
Let z(w) = w**3 + 8*w**2 + 7. Let v be z(-8). Suppose 8*x - 221 = v*x. Suppose 6*l - 253 = x. Is l a composite number?
False
Suppose -2 = -o + 4*w, 2*w + 11 = o + 5. Suppose 2*d + 3*r - 10021 - 40807 = 0, -5*r - o = 0. Is d a prime number?
False
Let t = 74 - 67. Is 2/7 - (-5871)/t a prime number?
True
Is -1*723029*(15 + -32 - -16) prime?
True
Suppose -10*a + 18*a - 120 = 0. Suppose -a*j = -13*j - 72. Suppose -y - 1 = -j. Is y a prime number?
False
Let q be 12/3 - 21*4*-1. Let k(r) = r**3 - 7*r**2 - 12*r + 11. Let c be k(10). Suppose q = 3*s - 4*t - 459, s = -3*t + c. Is s prime?
False
Let q(n) = -n**3 - 22*n**2 - 31*n - 23. Let i be 1*((-69)/(-9))/((-4)/12). Is q(i) a composite number?
True
Let b(l) = -8*l**3 + 15*l**2 + 22*l - 10. Let h be b(-9). Let x = 12310 - h. Is x a prime number?
True
Let k(j) = -223*j - 53. Let y(d) = -112*d - 27. Let g(o) = 2*k(o) - 5*y(o). Let l(s) = s - 1. Let t(f) = g(f) + 2*l(f). Is t(13) composite?
True
Suppose -3*d + 43451 + 177498 = -78412. Is d a composite number?
False
Let o(g) = 8*g**3 + 3*g**2 + 7*g - 12. Let s be o(6). Suppose -3045 = -3*b + s. Is b prime?
True
Suppose -47340 = -256*f + 255*f. Suppose -24*h + 336444 = -f. Is h composite?
False
Let a be 39/78*(0 - -1)*4. Suppose 5*c - 510 = -a*f + 1462, 5*f - 4965 = 5*c. Is f a prime number?
True
Let b = -8397 - -2730. Let o(n) = n**3 + 5*n**2 - 20*n + 2. Let r be o(20). Let l = r + b. Is l prime?
False
Let s(m) = -418*m - 7. Let n be s(-2). Suppose -1851 = -4*j + n. Let h = 1083 - j. Is h prime?
False
Let f be 888 + 1/((-2)/4 - -1). Let m = f - 385. Is m prime?
False
Let n = -4360 + 2109. Let b = n + 4664. Is b a composite number?
True
Suppose 2*m - 118615 = 5*g, 49*m - 51*m = -4*g - 118618. Is m composite?
True
Suppose 0 = 55*d - 56*d + 120140. Suppose -k = -3*q - 24040, 0 = -5*k - 3*q - 2*q + d. Is k a prime number?
False
Let i(m) = m**3 - 17*m**2 - 40*m + 38. Let x be i(19). Let y(c) = -c**2 + 2*c + 2927. Is y(x) composite?
False
Suppose -25*o + 155743 = -91032. Is o a composite number?
False
Suppose -6*w = -9*w. Suppose -2407 = -x - g - 723, w = 2*x + 4*g - 3358. Suppose 0 = 2*d + d + q - 1009, -5*d = -2*q - x. Is d a composite number?
False
Suppose -255*r = -208*r - 222263. Is r a composite number?
False
Suppose -r = 5*q - 10, -q - 26 + 28 = 5*r. Let l(n) = 928*n - 39. Is l(q) composite?
True
Suppose -16758 = -3*d - 3*u, -4*d - 4*u = d - 27932. Suppose 0*l - d = -4*l. Is l composite?
True
Let n(g) = 12*g**2 + 10*g - 7. Let x(t) = -t**3 + t**2 - t + 1. Let z(k) = n(k) - x(k). Let r be z(-10). Is (-10)/45 + (-4558)/r a composite number?
True
Let m = -19
|
{
"pile_set_name": "DM Mathematics"
}
|
before 2:00 PM?
4:36 AM
How many minutes are there between 5:00 PM and 7:25 PM?
145
What is 82 minutes after 5:14 AM?
6:36 AM
What is 491 minutes before 6:10 PM?
9:59 AM
What is 170 minutes after 4:11 AM?
7:01 AM
How many minutes are there between 12:59 AM and 12:28 PM?
689
What is 142 minutes after 8:27 AM?
10:49 AM
How many minutes are there between 1:40 AM and 9:45 AM?
485
What is 49 minutes before 7:00 AM?
6:11 AM
What is 667 minutes after 2:16 AM?
1:23 PM
How many minutes are there between 9:39 PM and 11:56 PM?
137
What is 53 minutes after 8:05 AM?
8:58 AM
What is 628 minutes after 3:57 AM?
2:25 PM
How many minutes are there between 5:37 PM and 12:05 AM?
388
What is 260 minutes before 1:26 PM?
9:06 AM
What is 402 minutes before 8:42 PM?
2:00 PM
What is 405 minutes before 2:57 AM?
8:12 PM
How many minutes are there between 1:31 AM and 7:02 AM?
331
What is 443 minutes before 5:59 PM?
10:36 AM
What is 639 minutes after 6:02 PM?
4:41 AM
How many minutes are there between 12:32 PM and 1:43 PM?
71
What is 120 minutes after 7:43 AM?
9:43 AM
How many minutes are there between 5:54 PM and 2:16 AM?
502
What is 677 minutes after 7:01 PM?
6:18 AM
How many minutes are there between 3:07 AM and 4:16 AM?
69
How many minutes are there between 9:29 PM and 7:56 AM?
627
How many minutes are there between 12:03 PM and 7:06 PM?
423
How many minutes are there between 7:31 AM and 6:38 PM?
667
What is 207 minutes before 6:02 PM?
2:35 PM
How many minutes are there between 12:07 PM and 1:38 PM?
91
What is 270 minutes before 3:11 AM?
10:41 PM
How many minutes are there between 4:50 PM and 10:13 PM?
323
What is 111 minutes after 8:16 PM?
10:07 PM
How many minutes are there between 5:30 AM and 8:03 AM?
153
What is 502 minutes before 4:51 PM?
8:29 AM
What is 50 minutes before 12:06 AM?
11:16 PM
What is 371 minutes before 5:49 PM?
11:38 AM
How many minutes are there between 3:46 PM and 8:59 PM?
313
How many minutes are there between 8:13 PM and 4:26 AM?
493
What is 480 minutes after 7:04 PM?
3:04 AM
How many minutes are there between 9:23 PM and 4:22 AM?
419
How many minutes are there between 2:53 AM and 10:01 AM?
428
What is 386 minutes after 2:59 PM?
9:25 PM
How many minutes are there between 8:30 PM and 1:19 AM?
289
How many minutes are there between 7:48 AM and 2:44 PM?
416
How many minutes are there between 9:09 PM and 10:05 PM?
56
How many minutes are there between 8:36 AM and 4:59 PM?
503
What is 453 minutes before 7:15 AM?
11:42 PM
How many minutes are there between 1:16 AM and 3:17 AM?
121
How many minutes are there between 12:01 PM and 2:47 PM?
166
What is 292 minutes before 5:39 AM?
12:47 AM
What is 39 minutes before 9:20 AM?
8:41 AM
How many minutes are there between 10:31 PM and 9:05 AM?
634
What is 265 minutes after 5:39 PM?
10:04 PM
How many minutes are there between 6:15 PM and 4:54 AM?
639
How many minutes are there between 1:20 AM and 3:03 AM?
103
What is 345 minutes before 6:55 PM?
1:10 PM
What is 391 minutes after 4:40 AM?
11:11 AM
How many minutes are there between 5:48 AM and 11:55 AM?
367
How many minutes are there between 9:37 AM and 6:04 PM?
507
What is 341 minutes before 9:38 AM?
3:57 AM
What is 699 minutes before 10:26 AM?
10:47 PM
How many minutes are there between 7:40 PM and 9:48 PM?
128
What is 672 minutes after 11:03 PM?
10:15 AM
How many minutes are there between 5:29 PM and 3:17 AM?
588
What is 623 minutes after 4:18 PM?
2:41 AM
What is 591 minutes before 7:33 PM?
9:42 AM
What is 238 minutes after 11:10 PM?
3:08 AM
How many minutes are there between 2:45 PM and 4:48 PM?
123
What is 35 minutes after 11:10 AM?
11:45 AM
How many minutes are there between 9:38 AM and 10:17 AM?
39
What is 77 minutes after 3:00 PM?
4:17 PM
How many minutes are there between 4:20 AM and 2:05 PM?
585
How many minutes are there between 6:06 PM and 5:22 AM?
676
What is 82 minutes after 6:28 AM?
7:50 AM
What is 493 minutes before 5:45 AM?
9:32 PM
What is 48 minutes after 5:40 AM?
6:28 AM
How many minutes are there between 1:17 AM and 6:32 AM?
315
What is 693 minutes before 11:08 PM?
11:35 AM
How many minutes are there between 10:26 PM and 10:32 PM?
6
How many minutes are there between 12:10 AM and 6:17 AM?
367
What is 244 minutes after 5:12 AM?
9:16 AM
How many minutes are there between 12:17 AM and 10:47 AM?
630
What is 295 minutes before 6:07 PM?
1:12 PM
How many minutes are there between 6:10 AM and 3:29 PM?
559
How many minutes are there between 5:10 PM and 4:59 AM?
709
What is 514 minutes after 9:57 PM?
6:31 AM
What is 678 minutes before 12:55 PM?
1:37 AM
How many minutes are there between 4:40 PM and 10:04 PM?
324
What is 617 minutes after 4:06 AM?
2:23 PM
How many minutes are there between 9:36 PM and 8:54 AM?
678
What is 223 minutes before 7:01 PM?
3:18 PM
How many minutes are there between 9:44 PM and 12:35 AM?
171
What is 583 minutes after 8:07 AM?
5:50 PM
How many minutes are there between 10:38 AM and 8:29 PM?
591
How many minutes are there between 5:08 PM and 2:44 AM?
576
What is 337 minutes before 12:54 AM?
7:17 PM
How many minutes are there between 2:39 AM and 9:27 AM?
408
What is 293 minutes after 6:21 PM?
11:14 PM
How many minutes are there between 7:28 AM and 1:00 PM?
332
What is 12 minutes after 11:24 PM?
11:36 PM
What is 317 minutes before 9:35 AM?
4:18 AM
What is 482 minutes after 1:28 PM?
9:30 PM
How many minutes are there between 11:54 PM and 4:59 AM?
305
How many minutes are there between 6:02 PM and 10:17 PM?
255
How many minutes are there between 6:54 PM and 5:46 AM?
652
How many minutes are there between 10:58 AM and 6:51 PM?
473
What is 185 minutes before 2:08 PM?
11:03 AM
What is 714 minutes before 8:40 AM?
8:46 PM
What is 6 minutes after 1:16 PM?
1:22 PM
How many minutes are there between 4:03 AM and 9:23 AM?
320
What is 27 minutes after 4:46 PM?
5:13 PM
What is 543 minutes after 4:03 PM?
1:06 AM
How many minutes are there between 9:21 AM and 4:33 PM?
432
What is 482 minutes before 5:05 PM?
9:03 AM
What is 353 minutes after 5:52 AM?
11:45 AM
What is 456 minutes after 8:24 AM?
4:00 PM
What is 502 minutes before 3:54 AM?
7:32 PM
How many minutes are there between 6:22 AM and 8:13 AM?
111
What is 597 minutes before 12:24 AM?
2:27 PM
What is 173 minutes before 11:25 PM?
8:32 PM
How many minutes are there between 11:15 PM and 7:01 AM?
466
What is 634 minutes after 11:21 AM?
9:55 PM
How many minutes are there between 7:04 PM and 7:10 PM?
6
What is 374 minutes after 8:12 AM?
2:26 PM
What is 605 minutes before 11:04 PM?
12:59 PM
What is 573 minutes after 3:55 AM?
1:28 PM
What is 448 minutes before 12:24 PM?
4:56 AM
What is 373 minutes after 7:26 PM?
1:39 AM
How many minutes are there between 2:58 AM and 4:15 AM?
77
What is 457 minutes before 12:54 PM?
5:17 AM
How many minutes are there between 10:14 AM and 11:14 AM?
60
What is 589 minutes before 12:28 AM?
2:39 PM
How many minutes are there between 9:14 PM and 1:38 AM?
264
How many minutes are there between 11:18 AM and 5:46 PM?
388
How many minutes are there between 8:55 PM and 9:06 PM?
11
What is 235 minutes before 1:29 AM?
9:34 PM
What is 20 minutes before 2:55 PM?
2:35 PM
How many minutes are there between 9:24 PM and 11:02 PM?
98
How many minutes are there between 9:03 AM and 12:46 PM?
223
What is 264 minutes before 10:36 AM?
6:12 AM
How many minutes are there between 1:53 PM and 7:21 PM?
328
What is 592 minutes before 7:00 AM?
9:08 PM
What is 255 minutes after 3:39 AM?
7:54 AM
How many minutes are there between 12:24 AM and 2:34 AM?
130
What is 305 minutes before 1:26 PM?
8:21 AM
What is 148 minutes after 3:08 PM?
5:36 PM
How many minutes are there between 8:38 AM and 6:10 PM?
572
What is 708 minutes after 7:03 AM?
6:51 PM
What is 520 minutes before 3:12 AM?
6:32 PM
How many minutes are there between 11:02 AM and 12:19 PM?
77
How many minutes are there between 2:24 AM and 1:16 PM?
652
How many minutes are there between 1:36 AM and 1:16 PM?
700
How many minutes are there between 10:14 PM and 6:35 AM?
501
How many minutes are there between 2:40 PM and 1:03 AM?
623
How many minutes are there between 6:38 PM and 6:49 PM?
11
What is 591 minutes before 2:33 PM?
4:42 AM
How many minutes are there between 5:08 AM and 5:33 AM?
25
What is 532 minutes after 12:35 PM?
9:27 PM
What is 692 minut
|
{
"pile_set_name": "DM Mathematics"
}
|
46644*u + 1
Find the second derivative of 1023571*i**3*x**2 - 508*i**3*x - 13*i**2*x - 11 wrt x.
2047142*i**3
Differentiate 583*o**4 - 4*o - 469516 with respect to o.
2332*o**3 - 4
What is the second derivative of 10*a**2*j**2*n + a**2*j*n - 2*a**2*n**2 + 1415*a*j**3*n**2 - 14*a*j**3*n - 3*a*j**2*n - j**3 + 2*j*n**2 wrt n?
-4*a**2 + 2830*a*j**3 + 4*j
What is the derivative of 39127*k**4 + 24644 wrt k?
156508*k**3
Find the third derivative of -23395*a**2*d**2*t**3 - a**2*d*t**3 + 3*a**2*d*t + 15*d**2*t - 5*t**2 wrt t.
-140370*a**2*d**2 - 6*a**2*d
Find the third derivative of 5303*r**3 + 40069*r**2 wrt r.
31818
What is the derivative of 1059557*i**3 + 1749515 wrt i?
3178671*i**2
Find the first derivative of -2*w*x**4 + 314*w - 3561*x**4 + 4 wrt x.
-8*w*x**3 - 14244*x**3
Find the third derivative of 1268268*g**3*l - 3*g**2*l + 12162*g**2 + g*l + 1 wrt g.
7609608*l
Differentiate -380*d*u - 29775*d + 17*u wrt u.
-380*d + 17
Differentiate 194957*n - 236580.
194957
Find the first derivative of 2222246*u**4 + 2038691 wrt u.
8888984*u**3
Find the first derivative of -3*c**2 - 54769*c - 129702 wrt c.
-6*c - 54769
Differentiate 2043632*m**3*t + 2*m**2*t**2 + 24*t**2 - 4345*t - 6 with respect to m.
6130896*m**2*t + 4*m*t**2
Find the first derivative of -5*c*o**2 + 105*c*o*v - c*o - c*v + 73*c + 4983*o**2*v + 218*o*v wrt c.
-5*o**2 + 105*o*v - o - v + 73
What is the second derivative of -30168*r*v**2 - 13*r*v + 2*r - 131*v wrt v?
-60336*r
Find the first derivative of -c**3*n**2 + 5560*c**2*n**3 - 125*n**3 - 15*n**2 wrt c.
-3*c**2*n**2 + 11120*c*n**3
What is the second derivative of -232*b**2*q**2 - 3*b**2*q - 108*b**2 + 65*b*q**2 - 69*b*q + q wrt b?
-464*q**2 - 6*q - 216
What is the derivative of -5*i**2*v - 16*i**2 + 19*i*v + 13*i - 13*v**3 - 2 wrt v?
-5*i**2 + 19*i - 39*v**2
What is the second derivative of -1958*n*o**2*s + n*o*s*w + n*o*w - 2*n*o + 2*n*s**2*w + 8*n*s**2 + 14*o**2*s**2*w + 2*s wrt s?
4*n*w + 16*n + 28*o**2*w
What is the third derivative of 3*a**2*n**3 + 71*a**2*n - 19*a*n**3 - 15*a*n**2 + 121*n**3 - 32 wrt n?
18*a**2 - 114*a + 726
Find the third derivative of -50694*p**2*v**3 - 107242*p**2*v**2 wrt v.
-304164*p**2
What is the first derivative of -82426*o**4 - 45349?
-329704*o**3
Differentiate -3*a**4*q + a**4 - 332*a**2*q + 143961*q wrt a.
-12*a**3*q + 4*a**3 - 664*a*q
Differentiate -251747*d**3 + d**2 - 670681 with respect to d.
-755241*d**2 + 2*d
Find the third derivative of -2264*n**3*r*y**2 + n**3*r - 106*n**3*y**2 + 3*n**2*r*y - 118*n**2*y - n*r*y**2 + 2*n*r + 23*n*y - 2*r*y**2 wrt n.
-13584*r*y**2 + 6*r - 636*y**2
Find the third derivative of -226152*a**3 + 24387*a**2.
-1356912
Find the third derivative of 4737672*v**3 + 833489*v**2.
28426032
What is the third derivative of 8790*f**3*y**4 + 2*f**3*y - 4*f**3 + 53*f**2*y**6 + 170*f**2*y**2 + 2*f*y**2 + 38 wrt y?
210960*f**3*y + 6360*f**2*y**3
Find the third derivative of -38868*n**3 - 3886*n**2 - 2.
-233208
What is the derivative of 361*g**2 + 802*g + 243917 wrt g?
722*g + 802
What is the derivative of 2066*b**2*y - 84*b**2 - 4*b*s*t**2*y - b*s*t**2 - s*t**2 - s*y + 5*t**2 - 3*t + 1 wrt y?
2066*b**2 - 4*b*s*t**2 - s
Differentiate -16431*f**2 - 50*f - 2019451 with respect to f.
-32862*f - 50
Differentiate 2080*g*x**3 - 4*g*x + 460283*g - 15*x**3 wrt x.
6240*g*x**2 - 4*g - 45*x**2
What is the second derivative of -q**5 - 85829*q**2 + 14846*q - 8 wrt q?
-20*q**3 - 171658
What is the third derivative of -627*a**6 - 124*a**5*y - 79*a**2*y - 213*a + 2 wrt a?
-75240*a**3 - 7440*a**2*y
Find the second derivative of -f**3*n**3 + 45619*f**3*n + 825*f*n**3 - 2*f*n + n**3 - n**2 wrt n.
-6*f**3*n + 4950*f*n + 6*n - 2
Find the first derivative of -63398*o + 14244 wrt o.
-63398
What is the second derivative of 1031997*m**2 - 144*m - 2801?
2063994
What is the second derivative of 2*b**2*i**3*o - 89*b**2*i**3 - 1966*b**2*o + 3*b*i**3 - b*i**2*o - 2*b*i**2 - 18*b*o + 3*i**3 - 3 wrt b?
4*i**3*o - 178*i**3 - 3932*o
What is the third derivative of 877388*m**4 + m**2 + 802825*m?
21057312*m
What is the second derivative of 131356*g**5*w + g**2*w**3 - 2*g*w**3 - 3*g*w + 23*g - 292*w**3 wrt g?
2627120*g**3*w + 2*w**3
What is the first derivative of -707*o**3 - 61*o**2 + 313382 wrt o?
-2121*o**2 - 122*o
What is the second derivative of b**5 - 54*b**3 + 263*b**2 - 15*b - 293 wrt b?
20*b**3 - 324*b + 526
What is the second derivative of 50678*x**2 + 6*x + 226 wrt x?
101356
Find the second derivative of -8228*f**3*r**3 - 3*f**3*r - 3*f**3 + f**2*r + 3*f*r**5 + 171*f*r wrt r.
-49368*f**3*r + 60*f*r**3
Find the first derivative of 2*a**2*k*y + 609*a**2*k - 3*a*y + 23*k*y + 142*k - y wrt a.
4*a*k*y + 1218*a*k - 3*y
Find the first derivative of -12*s**2*w**2 + 7*s*w**2 + 3*s*w + 41806*w**2 wrt s.
-24*s*w**2 + 7*w**2 + 3*w
What is the second derivative of -53104*b**3*g - b**2*g**3 - 4127*b*g**3 - 20*g**3 wrt b?
-318624*b*g - 2*g**3
What is the derivative of -2*f**3*i - 32*f**2*i**2 - 71*f*i - 26260*i**2 - i wrt f?
-6*f**2*i - 64*f*i**2 - 71*i
What is the third derivative of 526988*o**4 - 19*o**2 + 4519*o?
12647712*o
Find the third derivative of -1753*l**6 + 2*l**4 - 6*l**3 - 135341*l**2.
-210360*l**3 + 48*l - 36
What is the derivative of h*k**2*q**2 + 1677*h*k**2*q + 21*h*q - 9*k**2*q**2 + 20*k*q + 221*k wrt h?
k**2*q**2 + 1677*k**2*q + 21*q
Find the third derivative of -d**3*h*j + d**3*h*v**2 + 2234*d**3*j**3 + 3*d**2*h*j**3 + 50*d**2*h*v**2 - 5*d*h*j**3*v + 5*h*j**2*v + j**2*v**2 wrt d.
-6*h*j + 6*h*v**2 + 13404*j**3
Find the second derivative of 9*t**5 + 4*t**4 + 19100*t**2 + 5*t + 126594 wrt t.
180*t**3 + 48*t**2 + 38200
Find the second derivative of 158899*v**3 + 3*v + 2987 wrt v.
953394*v
Differentiate -99121*h**2 + 2*h + 541170.
-198242*h + 2
Differentiate -2*l*v**2*y + 32689*l*y + 30*v**2*y - 2*v**2 - 3*v*y - 308*v with respect to l.
-2*v**2*y + 32689*y
What is the second derivative of 13*g**2*v**4 + 2*g**2*v**2 - 13*g**2*v + 156*v**3 + v + 105 wrt v?
156*g**2*v**2 + 4*g**2 + 936*v
Find the third derivative of 32258*v**4 - 13173*v**2.
774192*v
What is the second derivative of -56*h**2*s**3 - 50*h**2*s + 748*h**2 + 39*s**4 wrt s?
-336*h**2*s + 468*s**2
What is the first derivative of -d*m**2*w**2 - 489435*d*w**3 + 2*m**2*w**3 + 143*m**2*w + 650*m**2 + w wrt d?
-m**2*w**2 - 489435*w**3
Find the second derivative of -4*a**2*v**4 + a**2*v + 61*a*v**5 - 2499*a*v wrt v.
-48*a**2*v**2 + 1220*a*v**3
Differentiate 13*d**3 + 201*d**2 + 91162 wrt d.
39*d**2 + 402*d
Differentiate 20*g*i + 2*g*r - g - 3*i*r**2 - 284*i + 145*r**2 + 12 wrt i.
20*g - 3*r**2 - 284
What is the first derivative of 4*c**3*k**2 + 3879*c*k**2 - 23961*k**2 wrt c?
12*c**2*k**2 + 3879*k**2
Find the second derivative of 4*b**3*z**3 + 73*b**3*z**2 + 16*b**3 + 39*b*z**3 - 1027*b*z - z wrt z.
24*b**3*z + 146*b**3 + 234*b*z
What is the third derivative of -4*i*u**5 - 7092*i*u**3 + 4*i*u**2 + 2*i - 7*u**2 + 121*u wrt u?
-240*i*u**2 - 42552*i
Differentiate -7212*i*l + 4*i + 30208*l + 1 with respect to i.
-7212*l + 4
What is the third derivative of -106*y**5 - 17417*y**4 - 351016*y**2 wrt y?
-6360*y**2 - 418008*y
What is the first derivative of 5197*b**2*l*v - 23*b**2*l - 247*b**2*v - b*v + 153*b wrt l?
5197*b**2*v - 23*b**2
Find the second derivative of -58536*l**5*x - 20*l*x + 496*l + 2*x wrt l.
-1170720*l**3*x
Find the third derivative of 1760*x**5 + 550*x**4 - 111*x**2 + 37*x + 6 wrt x.
105600*x**2 + 13200*x
What is the second derivative of 525852*s**2 + 1065826*s wrt s?
1051704
What is the second derivative of -73597*b**2 - 6*b + 25863 wrt b?
-147194
Find the third derivative of -58233*x**6 - 175*x**2 + 10*x + 1 wrt x.
-6987960*x**3
Find the third derivative of 31*f**3*h**4 + 2*f**3*h**2 - f**3*h + 5*f**2*h + 209*f*h**3 - 7*h**4 + 7975*h**2 wrt h.
744*f**3*h + 1254*f - 168*h
What is the third derivative of 3*a**2*b*d**3 + 184*a**2*d**2 + 35033*a*d**3 + 13*b + d + 2 wrt d?
18*a**2*b + 210198*a
Find the second derivative of -8952*h*j**2*l*p + 6*h*j*l**2 - 4*h*j*p - 3*h + 2*j**2*l**2*p + 5*j**2*p - 3*j*l**2 - 3*l**2*p wrt j.
-17904*h*l*p + 4*l**2*p + 10*p
Differentiate -3*q**2*t**2 - 3*q**2*t - 32239*q*t**2 + 6716068*t**2 with respect to q.
-6*q*t**2 - 6*q*t - 32239*t**2
Find the first derivative of -41477*r - 2657.
-41477
Find the second derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
-2))/(0 + -1). Sort 2/9, -2, k, 74/7.
-2, k, 2/9, 74/7
Let a = 0.44 + -0.6. Let g = 444 - 444. Sort a, 0.2, g.
a, g, 0.2
Let d = -32 + 38. Suppose 0*j = m - 3*j - d, -4*m + 2*j = -14. Suppose 16*g - 5 = 11*g. Sort -1, 5, g, m.
-1, g, m, 5
Let n(w) = -w**2 + 14*w - 20. Let r be n(12). Let d = -615 - -626. Put r, -8/5, d in decreasing order.
d, r, -8/5
Let t = 63/4 - 575/36. Let l(s) = -2*s**2 + 46*s + 151. Let i be l(26). Sort t, i, -0.24, 9 in ascending order.
i, -0.24, t, 9
Let x be (-53)/318 + (-2741)/6. Let g = -453 - x. Put g, -5, 7 in decreasing order.
7, g, -5
Suppose 4231 + 605 = -3*w. Let r be w/(-6) - (-88)/66. Let d be 4 - (r/14)/5. Sort d, 0.2, -1/3 in decreasing order.
0.2, d, -1/3
Let z = -0.45475 - 0.04525. Put 24, z, 3, -2 in decreasing order.
24, 3, z, -2
Let j = -3403 + 3408. Let t = -0.5 + 0.61. Let i = t - 5.11. Sort j, i, 1.
i, 1, j
Let n(g) = g**3 - 5*g**2 + g - 3. Let w be n(5). Suppose 0 = -5*s - 5*x + 4765, 8*x - 9*x = -5*s + 4735. Let o = -944 + s. Sort w, o, 0.
0, w, o
Let d(r) = r - 17. Let u be d(19). Let s(w) = w - 1. Let z be s(-6). Let k be (2*1)/(6 + z). Put k, 4, u, -5 in ascending order.
-5, k, u, 4
Let s = 5112.15 + -5112. Sort s, 5, 6/5, 2 in ascending order.
s, 6/5, 2, 5
Let o = 0.34 + -1.14. Let q = 1.2 - o. Let m be (10/30)/(4 + -5). Sort -0.5, m, q, -1.2 in increasing order.
-1.2, -0.5, m, q
Suppose -5*m + 37 = -q + 25, m + 3*q + 20 = 0. Sort -1, m, 172, 5 in decreasing order.
172, 5, m, -1
Let r(z) = 5*z + 29. Let k(t) = -6*t - 29. Let v(s) = -3*k(s) - 4*r(s). Let m be v(-16). Let x = m - 4. Put -0.1, x, -0.3, -3 in increasing order.
-3, x, -0.3, -0.1
Let w(t) = -26*t**2 - t - 1. Let n be w(-1). Let q = 31 + n. Suppose 15*p + 3*p = 0. Sort q, 2, p in decreasing order.
q, 2, p
Suppose -1056 = 3*o + 3*i, o - 123*i + 334 = -118*i. Put 5, 4, 2, o in increasing order.
o, 2, 4, 5
Let n = -92.292 + 0.292. Let i = n + 102. Sort i, 2, -2 in descending order.
i, 2, -2
Let x be 1/(-2) - (-549)/(-11102)*-7. Let f = 1/6 + -2/3. Sort x, 20, f, 3 in decreasing order.
20, 3, x, f
Let t = 8682 - 8684. Put t, -8, -9, 0, 1 in increasing order.
-9, -8, t, 0, 1
Let s = -12214.4 - -12214. Put -138, 0.4, 6, s in decreasing order.
6, 0.4, s, -138
Let p = 0.3 - 40.3. Let x = 35 + p. Let u = 156 + -158. Put 0, u, 0.1, x in descending order.
0.1, 0, u, x
Suppose -2065 - 20 = 207*j - 222. Sort 3, 0, j, 2, 4.
j, 0, 2, 3, 4
Let v(w) = -w**3 + 11*w**2 + 68*w - 125. Let d be v(15). Sort 4, 3782, d in increasing order.
d, 4, 3782
Let t = -2.1839 + 2.3839. Put t, 0.052, 0.3, 9 in decreasing order.
9, 0.3, t, 0.052
Suppose 4*t = -4*p - 8, t = 5*p - 2 + 6. Put 4, 1, p, -5, -155 in ascending order.
-155, -5, p, 1, 4
Let t be (-1 + 2)/((-68)/(-102)*(-3)/8). Put 0, 46, -2, t, 5 in descending order.
46, 5, 0, -2, t
Let z be 48/(-42)*3 - -4. Sort z, 14, 1 in descending order.
14, 1, z
Suppose -5*r + 4*q - 5 = 0, -q + 4*q = -4*r + 27. Suppose -7*t - 12*t - 76 = 0. Let n be (5/(-10))/(1/(-10)). Put 1, t, n, r in increasing order.
t, 1, r, n
Suppose -c - 11 = -9. Let x be 47*c/(-56) - 6/14. Put 2.5, x, -0.4 in descending order.
2.5, x, -0.4
Let z(t) = t**2 + 30*t - 32. Let g = -582 - -551. Let q be z(g). Put 0, 1, -25, q in decreasing order.
1, 0, q, -25
Let m(q) = -2*q**2 + 173*q + 700. Let s be m(-4). Put 0.5, s, -8, -4, 1/3 in ascending order.
s, -8, -4, 1/3, 0.5
Let k = 0 + 2. Suppose 3 = i - k. Let s(b) = -10328*b + 51635. Let l be s(5). Sort i, l, -2, 9 in descending order.
9, i, -2, l
Let r = -2.57 + 1.31. Let x = r - -1.33. Sort 2/11, 3, x in decreasing order.
3, 2/11, x
Let c = -1270 + 1268. Let u be (24/(-9))/(2/(-6)). Suppose 0 = -10*m + u*m - 8. Sort m, 4, c in ascending order.
m, c, 4
Let m = -659/2358 + 15/262. Put 0.05, m, -121 in decreasing order.
0.05, m, -121
Let o(r) = -166*r - 829. Let p be o(-5). Sort p, 46, 2 in decreasing order.
46, 2, p
Let r = 10940.2 - 10940. Sort 1/6, -8/11, 0.5, r in decreasing order.
0.5, r, 1/6, -8/11
Let y = 0.0545 + -1.0545. Sort -0.5, 0.2, y, 0.4, -0.3.
y, -0.5, -0.3, 0.2, 0.4
Let a be 6/2*4/6. Suppose a*k + 3 = -k. Let f(g) = g**2 + 284*g + 5035. Let i be f(-19). Sort -4, i, -5, k.
-5, -4, k, i
Let h(y) = -y**3 + 16*y**2 - 69*y + 254. Let c be h(12). Let k be ((-10)/(-6))/(1/3). Sort c, k, -10, 3.
-10, c, 3, k
Suppose m = 3 - 5. Sort -27, 0.1, m in descending order.
0.1, m, -27
Let b(t) = -84*t - 758. Let h be b(-9). Let y = 6 + -9. Sort 4, h, y.
y, h, 4
Let y = 1.08 + -1.097. Let f = y + 0.317. Let g = -5 + 3. Sort 2, -3/8, g, f in increasing order.
g, -3/8, f, 2
Let w be 3 + 2 + 3 + (0 - (-77)/(-11)). Sort 3, 294, w, -8.
-8, w, 3, 294
Let s = -1.8 + 2. Let n = 6534 + -6534.2. Put n, s, 4, -0.1 in decreasing order.
4, s, -0.1, n
Let p = 148 + -144. Suppose -597 = 4*i + 7*x - p*x, -5*x + 305 = -2*i. Put -4, i, 3 in descending order.
3, -4, i
Let d = -1.96 - 0.04. Let r = -233/91 - -37/13. Sort -0.3, r, 2/9, d.
d, -0.3, 2/9, r
Let t = -246 + 245.95. Let m = t + -0.95. Put -3, m, -4, -0.2 in decreasing order.
-0.2, m, -3, -4
Let m be 70/(-15) - -5 - (-1)/(-3). Suppose -3*h = -m*w + 4*w + 57, -w = -4*h. Sort -2, w, 0 in increasing order.
w, -2, 0
Suppose 3*q + 4*l = -0*q - 2, 5*q = -2*l + 6. Suppose 5*y - 3*x = -9, -q*y - 2*y = -2*x + 6. Suppose y = -w - w + 6. Put -4, w, 0 in increasing order.
-4, 0, w
Let w = 0.0978 - -166.9022. Let p = -168 + w. Let x = -0.1 + 1.1. Sort 0.5, x, p in descending order.
x, 0.5, p
Let v(o) = -574*o + 43624. Let u be v(76). Let s be 5 + (-1)/(-1)*-2. Suppose -2*n + 1 = s. Put n, -5, 3, u in descending order.
3, u, n, -5
Let o = -1187 + 1186.7. Let x = 340 - 9182/27. Sort o, x, -2/3.
-2/3, o, x
Let n be (14 + -9)*2/2. Suppose -5*w + 6 = 4*a - 28, 0 = a - w - 4. Let k(h) = h - 18. Let l be k(19). Sort l, a, n in ascending order.
l, n, a
Suppose 69585*y = 69615*y + 30. Sort y, -3, 2, 4, -6.
-6, -3, y, 2, 4
Let t = 9.4 - -624.6. Let f = 634 - t. Sort -4, f, 2/7 in decreasing order.
2/7, f, -4
Let z = -1.06 + -7.94. Let r = -26 + 11. Let k = z - r. Sort -4, 2/19, k.
-4, 2/19, k
Let y(c) = -104*c - 4056. Let g be y(-39). Let w(v) = -v**3 - 5*v**2 - 3*v + 5. Let j be w(-4). Let u be -2 - (-2 + j)*0. Sort g, u, -4 in decreasing order.
g, u, -4
Let v = -322.835 + 331.7. Let g = v - -0.135. Put g, -0.1, 1/4 in decreasing order.
g, 1/4, -0.1
Let h = 0.16203 - 0.00203. Sort 4, 5, 4/3, h, -3 in descending order.
5, 4, 4/3, h, -3
Let t = 0.3 + -0.8. Let f = -178 + 187. Let i be 33/f + (-45)/27. Sort t, i, -1/4 in descending order.
i, -1/4, t
Let o = 46 + -92. Let m = -14185 + 14181. Sort 2, m, 2/9, o in ascending order.
o, m, 2/9, 2
Let h be (2 - -4)*(-5)/(-15). Suppose -2*o - h*o + 141 = -5*a, 2*o - a = 75. Put 4, o, -1 in descending order.
o, 4, -1
Let t = 91.97 + 209.03. Sort t, -2/3, -1/2 in decreasing order.
t, -1/2, -2/3
Let m be 5*-1 - (-39 + (-3460)/(-100)). Let j = -1 + 4. Sort 0.5, j, m in descending order.
j, 0.5, m
Let h(k) = k**2 - 57*k + 452. Let b be h(10). Put b, -7, -2, -10 in descending order.
-2, -7, -10, b
Let y be (12/2*1/9)/((-2)/(-489)). Sort 5, y, 2, -4, -2 in ascending order.
-4, -2, 2, 5, y
Let z = 211.84 + -208.49. Sort z, 0.4, -0.1, -2, 4 in ascending order.
-2, -0.1, 0.4, z, 4
Let j = -257.52 - -259.52. Let v = 0.9 + -0.4. Let c = 6 + -6.8. Sort j, -3/5, v, c in ascending order.
c, -3/5, v, j
Let t(d) = -d**2 + 11*d - 13. Let i be t(10). Let q = -12/7 + -11/14. Let v = -0.076 + 0.076. Put v, i, q in ascending order.
i, q, v
Let o(h) = -2*h**2 - 12*h - 4. Let s be o(-6). Suppose 4 = -7*i + 3*i. Sort -2, 4, i, s.
s, -2, i, 4
Let z be (-380)/90 + 2 + 2. Let j = -134 - -159. Let k = -26 + j. Sort 5, -0.02, k, z in increasing order.
k, z, -0.02, 5
Let n = -5 - -4.821. Let z = -0.279 - n. Suppose 2*c + 2*t - 2 = 0, -2*t = c - 2*c - 11. Put z, -2/11, 0.1, c in increasing order.
c, -2/11, z, 0.1
Suppose 0 = 10*w - 8*w - 6. Suppose 3*p + p + 16 = 4*k, -4*k = -w*p - 8. Suppose 0 = 17*j - 8*j - 18. Sort j, 5, p in decreasing order.
5, j, p
Let u = 25592 + -25507.048. Let z = 83 - u. Let h = z + -0.048. Sort -1/3, h, 0.2.
h, -1/3, 0.2
Suppose v + 116 = -29*v + v. Sort -2, 6, -22, v in decreasing order.
6, -2, v, -22
Let c = -47.5 - -47.9. Let w = 92 - 737/8. Put 0.3, w, 1/5, c in ascending order.
w, 1/5, 0.3, c
Let v(t) = -t - 1. Let z be v(-4). Let j be ((-6)
|
{
"pile_set_name": "DM Mathematics"
}
|
-1/58, -2/7, -5?
-1/58
Let v = 35 - 34.5. Let q = 0 - -2. Let d be 0/q - 8/(-28). What is the nearest to -1 in v, -5, d?
d
Let s = -80/3 - -157/6. Let r be ((-3)/2)/(-1*3). Which is the nearest to s? (a) -0.3 (b) 5 (c) r
a
Let z = -0.5 + 2.5. Let f = 3 + -2.5. Let u be (99/48 - 2)*-2. Which is the closest to f? (a) z (b) 3/4 (c) u
b
Let d = -257.9 - -258. Which is the closest to -2/19? (a) -4 (b) -1 (c) d
c
Let z = -150 - -63. Let o = 88 + z. Let d = 0.7 + -0.2. Which is the closest to o? (a) d (b) 5 (c) 1
c
Let i(w) = -w + 1. Let t be i(6). Let l = -5966 - -5969. What is the closest to 0.1 in t, l, -1?
-1
Let q = -10 - -9.5. Let n = -2.2 - -0.2. Which is the closest to 1/4? (a) q (b) n (c) 2/3
c
Let z = 0.885 + -0.685. Let g = -4 - -4.1. Let l = g + -0.5. Which is the closest to z? (a) l (b) 0.2 (c) -0.2
b
Let y = 4700.07 + -4680. Let s = y - 20. Let v = -0.93 - s. What is the closest to -0.1 in v, 5, -5?
v
Let h = 1228 + -25784/21. What is the closest to 0 in h, -3.1, -0.5?
h
Let h = 34 - 39. Let x(n) = -n**2 - 5*n + 5. Let k be x(-6). Let v = k - -5/7. Which is the nearest to 2/5? (a) v (b) h (c) 3
a
Let g(j) = 4*j + 66. Let q be g(-23). Which is the closest to 1/2? (a) -3 (b) 0.5 (c) q
b
Let p be -3 - -4 - 4/6. Let n = 85 + -88.7. Let d = 3.4 + n. Which is the nearest to -4? (a) d (b) 0.4 (c) p
a
Let r = 908 + -907.8. What is the closest to r in -2, 7, 0.1?
0.1
Let s = -878 - -3509/4. Let d = 2906/11 + -264. Which is the nearest to 1? (a) s (b) d (c) -3
b
Let l = -5/24 - -1/24. What is the nearest to 0.2 in -0.6, l, -0.1?
-0.1
Let n = 825 + -9901/12. Suppose -2*d = -5 - 5. Which is the nearest to 2/23? (a) d (b) -5 (c) n
c
Let g = 6/1703 - 318491/8515. Let b = 37 + g. What is the closest to 0 in b, -1/18, 1/3?
-1/18
Let f be (-26)/52 - (-1)/6. Suppose -4*c = -11 - 5. What is the nearest to f in 1/2, 0.1, c?
0.1
Let m = -256/3 + 86. Let s = 38/1643 + 1693553/16430. Let v = s + -103. Which is the nearest to 0.1? (a) v (b) m (c) -0.2
a
Let z be 157/3 - 1 - -2. Let o = -53 + z. Which is the nearest to o? (a) -3 (b) 22 (c) 0
c
Let m = 359.96 - 360. What is the closest to -6 in m, 3, 0.4, 2/13?
m
Let x = -120 - -130. What is the closest to x in -2/3, 2, 0?
2
Let j = 2307 - 16145/7. What is the closest to -1/15 in 7, j, -2/21, 2/13?
-2/21
Let h = -2.5 + 0.5. Let z = 112578/7 - 16083. Which is the nearest to 2? (a) h (b) -5 (c) z
c
Let j = -0.002 + -0.098. Which is the nearest to 6? (a) 5 (b) j (c) 2
a
Let p = 45 - -23. Let k = 64 - p. Which is the nearest to -1? (a) 0 (b) 0.5 (c) k
a
Let q = 23 - 32. Let l = q + 6. Let u = -18 + 18. Which is the nearest to u? (a) 7 (b) -0.4 (c) l
b
Let h = -4.35 + 3.35. What is the nearest to -0.3 in h, 2/3, 55/2, 1?
h
Let p be 6/(-10)*-1 - 0. Let s = 25 + -25.1. Which is the closest to s? (a) 0.3 (b) p (c) 0
c
Let n be ((-836)/6)/(10/(-18)). Let q = -252 + n. Let k = 4 + -3. Which is the closest to k? (a) q (b) -3 (c) 2/3
c
Let u = 127 + -507/4. Which is the closest to 1? (a) 5 (b) u (c) 1/2
c
Let u = -49.079 + 0.079. Which is the nearest to 0? (a) -2 (b) 4 (c) u
a
Suppose 3*t - 6*t = -3. Let g(j) = -j - 2. Let o be g(-4). Suppose 4*n = -4*v - 8, o*v + 2*v = 4*n. What is the nearest to t in 2, 0.03, n?
0.03
Let u = -101.67 - -101.67. Let z = -126 + 2648/21. Which is the nearest to 0? (a) z (b) u (c) 5
b
Suppose -6*n - 2 = -4*n. Let t be -10*4/(-8)*(-1)/n. What is the closest to 1 in 3/5, t, -1/5?
3/5
Let k = 15.3 + -25.4. Let r = k + 10. Let i = 14.3 - 14.7. Which is the nearest to -0.2? (a) i (b) -3 (c) r
c
Let d = -215 - -215. Let l = 2 + -1.7. Which is the closest to d? (a) l (b) 3/2 (c) -1/2
a
Let k = 12 + -134/11. Let z(g) = g + 5. Let a be z(-3). Let s = 0.385 - 0.285. What is the closest to s in a, k, -0.3?
k
Let f = -3.925 - 0.075. Let d be (-18)/10 - -2 - (-49)/5. Which is the nearest to d? (a) -0.5 (b) f (c) 2
c
Let j = 492 + -490. Which is the nearest to j? (a) 0 (b) 0.1 (c) -1/5 (d) 1
d
Let g = -3.08 + 3.18. What is the closest to -0.1 in 0.05, g, -1/8, 1?
-1/8
Let h = -318 - -318.3. Let u = 0.08 + -3.08. Which is the nearest to -9? (a) -0.2 (b) h (c) u
c
Let f = -2054 - -2053. Which is the nearest to -1? (a) -3.2 (b) -4 (c) f
c
Suppose -44*n - 160 + 292 = 0. Let o(f) = f**2 - 1. Let s be o(-1). What is the closest to -1/8 in s, n, -1?
s
Let n = -5.77 + 5.37. Which is the nearest to 0? (a) 3/4 (b) n (c) 7
b
Let j = -0.4 - -0.2. Suppose 8*n - 4*n = 5*m - 3, -4*m + 8 = -6*n. What is the closest to 0 in n, j, -3?
j
Let p be (6/(-20))/(15/(-50)). Which is the closest to p? (a) 18 (b) -0.1 (c) 1
c
Let d = -1.378 - -1.478. Which is the closest to d? (a) 3/5 (b) -1 (c) -0.5
a
Let o = 4 - 6. Let p(n) = -n**3 + 9*n**2 - 12*n + 11. Let r be p(7). Let u = 24 - r. Which is the nearest to o? (a) u (b) -2/11 (c) 1/7
a
Let u = -1561/2 - -919. Let g = 136 - u. Let d be (57/(-42) - -1)*16/(-40). Which is the nearest to 0.4? (a) d (b) 3 (c) g
a
Let q = -1 + 0. Suppose -5*u = -0*u + 90. Let a be 20/u - (-2)/3. What is the nearest to q in 2/5, 2, a?
a
Let r = -9 + 12. Let t = -64/39 + 30/13. Which is the nearest to t? (a) r (b) 1/3 (c) -4
b
Let t = -118 - -117. Let p be 35/10 + -2 + -1. What is the nearest to p in t, -0.4, 1/2?
1/2
Let u = 260 - 1298/5. What is the nearest to -0.1 in -2, u, -12?
u
Let p = -0.5753 - -0.0753. Which is the closest to 0.3? (a) p (b) 4 (c) -0.4
c
Let t = -0.03 - 3.47. Let p = -409 + 412. Let s = p + t. Which is the closest to -0.1? (a) -1 (b) 3 (c) s
c
Let q = -4 - -4. Let v be (-6)/(-6) + -2 - -2. Which is the nearest to v? (a) -2/9 (b) q (c) -2
b
Let t be 4/20 - 122/10. Let z be (-1)/(2 + 4/t). Let p = -1 + 1.5. Which is the closest to -0.1? (a) p (b) -2/9 (c) z
b
Let m = 19.9 - 24.9. Which is the nearest to 3? (a) 2 (b) 0.4 (c) m
a
Let y = 5.79 - -19.21. Which is the nearest to -0.1? (a) 0.1 (b) y (c) 1 (d) -2
a
Let j = -5035/168 - -239/8. Which is the nearest to 1? (a) -3 (b) 4 (c) j
c
Let k(s) = -2*s**2 - s. Let m be k(-1). Let b be 3/(42/22) - (-6 + 8). What is the closest to m in 5, 3, b?
b
Let f = 62 + -61.6. Let t be 3/(-45)*3*-2. What is the closest to t in -3, 0.5, f?
f
Let c = 215223/14 - 15350. Let q = c + -45/2. Let k = -0.15 - -0.2. What is the closest to 0.1 in 0, k, q?
k
Let f = -109/812 - 1/116. What is the nearest to 13/4 in -2/5, f, -7?
f
Let c = -569 + 568.5. Let q = 3.93 - -0.07. What is the closest to q in -1/6, 1, c?
1
Let z = -12.95 + 9.95. Which is the nearest to z? (a) 1 (b) 0.4 (c) -2/7 (d) -0.07
c
Let d = -0.17 - 0.13. Let h = -4.11 + 0.11. Let r = h + 5. What is the closest to -1/2 in d, r, 3?
d
Let z = -0.18 + -1.72. Let h = 3.9 + z. Let x = -9 - -19/2. What is the closest to h in 2, x, 0.4?
2
Let l(f) = -f - 38. Let w be l(-40). What is the nearest to 0 in 2/5, 9, w, -2/15?
-2/15
Let o be (-16)/(-12)*(-3)/(-106). Which is the nearest to 0.1? (a) o (b) -1/6 (c) 0.2
a
Let n = -9 - -5. Let r = -234 + 233.7. Which is the closest to r? (a) -0.5 (b) n (c) 1
a
Let q = 9.4 + -52. Let p = q + 43. What is the closest to 0.1 in p, -0.5, -9?
p
Suppose 3249 = -8*f + 3241. Which is the closest to 2/7? (a) 6 (b) f (c) -3/4 (d) 1
d
Let f = 257 - 261. Let c = -0.5 + 1.5. What is the nearest to c in -2/3, f, 0?
0
Let g = -35.1 - -35.5. Which is the closest to 4/5? (a) 4 (b) g (c) -0.5 (d) -0.1
b
Suppose 2*m = -m. Let u = 17.48 - 17.48. What is the nearest to u in 0.1, m, -5?
m
Let l(n) = -n**2 - 34*n - 140. Let b be l(-29). What is the nearest to -0.1 in -0.5, 0.04, b?
0.04
Let n = 19/10 + -2/5. Let p = 14 - 13. Let h = 0.9 - p. What is the nearest to -0.1 in 0.1, n, h?
h
Let z = -72 + 649/9. Suppose -2*d + 8 = w, -5*d + 4*w - 12 + 6 = 0. Let u = 4 - 4. Which is the closest to -2? (a) d (b) z (c) u
c
Let n be ((-4)/20)/(5 - (-34)/(-10)). What is the closest to -3 in -2/15, n, 0?
-2/15
Let t = -64 + 59.925. Let z = -0.075 - t. Which is the nearest to 0.2? (a) z (b) -2/7 (c) -4
b
Let y be (15/35)/((-6)/4). Let f(i) = -i**3 + 24*i**2 + 26*i - 25. Let x be f(25). Let m = 0.26 - 0.56. Which is the closest to y? (a) m (b) -3/4 (c) x
a
Let o = -0.6 + -1.2. Let t = o + -0.2. Let s = -41/2 + 21. What is the nearest to -1 in s, -3/8
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{
"pile_set_name": "DM Mathematics"
}
|
d the second derivative of u(x) wrt x.
2560
Let o be (2 - 4)*1 - (-119)/17. Let x(c) be the third derivative of -23/60*c**o + 0*c**3 + 17*c**2 + 0 + 0*c + c**4. Find the second derivative of x(z) wrt z.
-46
Suppose 487*k - 491*k = -48. What is the third derivative of 12 - 10 + k*m**2 + 61*m**2 - 4*m**4 + 3*m**4 - 10*m**5 wrt m?
-600*m**2 - 24*m
Let b(p) = 378*p**3 - 37*p**2 - 6*p - 2. Let y(f) = 1135*f**3 - 115*f**2 - 21*f - 6. Let s(t) = -7*b(t) + 2*y(t). What is the third derivative of s(a) wrt a?
-2256
Let z(u) = 4892*u**2 - 40*u + 828. Let r(j) = j**2 + 2*j - 28. Let f(o) = 56*r(o) + 2*z(o). What is the second derivative of f(k) wrt k?
19680
Suppose 0*h - 5*h = -105. What is the second derivative of -13*q + 11*q - 2*q**2 + h*q**4 + 14*q wrt q?
252*q**2 - 4
Let s(m) be the first derivative of m**6/2 - 15*m**4/4 - 8*m**3/3 - m**2 + 124*m + 6776. Find the second derivative of s(x) wrt x.
60*x**3 - 90*x - 16
Let i(x) = 2004*x + 552. Let a(m) = -1967*m - 551. Let z(y) = -6*a(y) - 5*i(y). Find the first derivative of z(v) wrt v.
1782
Suppose -2*g - 4*m = -84, -3*g + 2*m + 81 = -m. Suppose 4 = 2*w, -w + 0*w = 2*p - g. Differentiate 3 + p + 15*f**3 - 5 with respect to f.
45*f**2
Let n(m) = -20*m - 11. Let v be n(-1). What is the third derivative of -15*g - g**3 - v*g**4 + 3*g**4 - 25*g**2 + 15*g wrt g?
-144*g - 6
Let t(z) be the third derivative of 775*z**8/168 + 947*z**4/24 - 1570*z**2. Find the second derivative of t(d) wrt d.
31000*d**3
Suppose -t = -6*t. Let l be 8 + (-1)/(1/6). What is the third derivative of t*r - 9*r**5 - 28*r**l + 0*r + 35*r**2 wrt r?
-540*r**2
Suppose 7*f = -756 - 1631. Let u = 499 + f. Differentiate -u + d + 3*d + 160 with respect to d.
4
Let w(h) be the first derivative of 0*h**4 + 80/3*h**3 + 0*h + 0*h**5 + 58/7*h**7 + 219 + 0*h**2 + 0*h**6. What is the third derivative of w(s) wrt s?
6960*s**3
Let q(z) be the third derivative of -z**5/15 + 7*z**4/12 - 703*z**3/3 - 463*z**2. Differentiate q(b) wrt b.
-8*b + 14
Let p be -60*(-4 + (-28)/(-6)). Let w be p/(-24)*(4 - 1). Find the second derivative of r**w - 2*r**5 - 5*r**5 - 18*r wrt r.
-120*r**3
Let y(i) = 4 + 5 - 4 - 192*i**2 + 0 + 120*i + 7. Let j(g) = -191*g**2 + 119*g + 8. Let r(c) = -3*j(c) + 2*y(c). What is the second derivative of r(x) wrt x?
378
Let g(w) be the third derivative of -5*w**8/168 + 8*w**7/21 + 1027*w**5/30 + 394*w**2. Find the third derivative of g(j) wrt j.
-600*j**2 + 1920*j
Suppose -2*d + 0 + 6 = 0. Suppose -d*f = 2*f - u - 1509, -2*f = -3*u - 614. Find the second derivative of -f*b**3 + 301*b**3 + 8*b + 6*b**4 wrt b.
72*b**2
Let l(f) be the second derivative of -3*f**7/7 - 19*f**6/30 - 369*f**3/2 + f**2/2 - 1735*f. What is the second derivative of l(q) wrt q?
-360*q**3 - 228*q**2
Let p be 15 + 3 + -2 + -3. What is the third derivative of -12*k**3 + p - k**4 + 11*k**3 - 3*k**2 + 0*k**2 wrt k?
-24*k - 6
Find the second derivative of 2*d**3 + 144*d**5 + 68*d**5 + 21*d - 21 + 0*d + 2*d wrt d.
4240*d**3 + 12*d
Suppose -3*d - 2*d = -5*l + 10, -3*l = 4*d - 13. Let c = d - -19. Differentiate 0*t**3 + c*t**4 - 33*t**4 - 11 + 0*t**3 with respect to t.
-52*t**3
Let z be 16048/208 - (-2)/(-13). Find the first derivative of -38*j - z - 152 + 3*j - 52 wrt j.
-35
Suppose 10*w = 7 + 23. Find the second derivative of 85*s**w + 21*s + 13970 - s**2 - 13970 wrt s.
510*s - 2
Let f(d) be the first derivative of -2559*d**3 - 4344*d - 8921. What is the first derivative of f(u) wrt u?
-15354*u
Let p(f) = -553*f**4 + 9*f**3 - 1369*f + 14. Let d(r) = -553*r**4 + 8*r**3 - 1371*r + 12. Let j(i) = -7*d(i) + 6*p(i). Find the second derivative of j(g) wrt g.
6636*g**2 - 12*g
Differentiate -150*d - 387 - 542 + 333 - 289 with respect to d.
-150
Let a(g) be the second derivative of -2747*g**4/6 + 696*g**2 - g - 414. Differentiate a(b) wrt b.
-10988*b
Suppose 12*u = 2177 - 581. What is the third derivative of 12*r**5 + 90*r**5 + u*r**5 + 62*r**2 + 101*r**2 + 24*r**2 wrt r?
14100*r**2
Let q(s) = -6233*s**2 - 30*s + 7792. Let k(i) = 8*i - 1. Let o(v) = -4*k(v) - q(v). Find the first derivative of o(p) wrt p.
12466*p - 2
Differentiate 1491 - 544*t**3 - t**4 + 1083*t**3 - 592*t**3 with respect to t.
-4*t**3 - 159*t**2
Let l(d) be the third derivative of -25*d**9/72 - 77*d**5/30 + 551*d**2 + d. What is the third derivative of l(y) wrt y?
-21000*y**3
Let c(p) be the first derivative of 346*p**5 + p**2/2 - 1603*p + 837. Find the second derivative of c(h) wrt h.
20760*h**2
Let i(b) be the third derivative of 23*b**7/105 - 7*b**6/120 - 370*b**3/3 + 11*b**2 - 25*b. Differentiate i(x) wrt x.
184*x**3 - 21*x**2
Let o(l) be the second derivative of 5/2*l**2 - 5*l**3 + 1 + 3*l. Differentiate o(b) wrt b.
-30
Suppose -6*t = -10*t + 196. Let k = 4 - 2. Find the second derivative of -6*w**k + t*w - w**2 - 41*w wrt w.
-14
Let i(q) = -3*q**2 - 40*q + 34. Let d be i(-14). What is the second derivative of 3*y - 3*y**4 + d*y**4 - 41 + 8*y**4 + y**3 - y - 19 wrt y?
132*y**2 + 6*y
Let v(h) = h**4 - 5*h**3 - h**2 + h. Let m(l) = -7*l**4 - 158*l**3 + 1146*l**2 - 5*l. Let p(y) = m(y) + 5*v(y). Find the third derivative of p(q) wrt q.
-48*q - 1098
What is the third derivative of 350*a - 350*a + 8136*a**5 - 5357*a**2 - 301*a**5 - 791*a**2 wrt a?
470100*a**2
Let v(t) = 2*t**4 + t. Let x(z) = -7*z**4 + 3*z**3 - 455*z**2 - 2*z + 1. Let r(g) = -2*v(g) - x(g). Find the third derivative of r(l) wrt l.
72*l - 18
Let o(f) = 5051*f**5 + 249*f**2 + 49*f + 9. Let z(a) = 2527*a**5 + 124*a**2 + 24*a + 4. Let k(t) = -4*o(t) + 9*z(t). What is the third derivative of k(i) wrt i?
152340*i**2
Let t(h) = 14*h**2 - 2*h + 2. Let c(g) = -12779*g**3 + 85*g**2 - 12*g + 343. Let p(a) = -c(a) + 6*t(a). What is the third derivative of p(o) wrt o?
76674
Let d = 25 + -25. Find the third derivative of -2091*p**6 + d*p**2 - p**2 + 2137*p**6 + 18*p wrt p.
5520*p**3
Let l = 6443/1487 + 2/4461. Let y(k) be the first derivative of 11/4*k**4 - 8 + l*k**3 + 0*k + 0*k**2. Find the third derivative of y(f) wrt f.
66
Let i(a) = 10*a**3 - a**2 - a + 1. Let v(c) = -12*c**4 - 9*c**3 + 2*c**2 + 9*c + 2575. Let r(g) = 2*i(g) + v(g). Differentiate r(q) with respect to q.
-48*q**3 + 33*q**2 + 7
Suppose -4*a = -4*o - o - 10, a - 9 = -2*o. Find the second derivative of -24*b**2 + 82*b - 57*b**2 + 18*b**o - 9*b wrt b.
-126
Let v(j) = 4*j + 9. Let o(p) = -20*p - 44. Let k(z) = -5*o(z) - 24*v(z). Let w be k(0). What is the third derivative of -a**w + 4*a**2 + 6*a**4 - 4*a**4 wrt a?
24*a
Let y be (2 + -1)/((-14)/(-55398)). What is the second derivative of -3957 + 16*p - 40*p**5 + y wrt p?
-800*p**3
Find the second derivative of -281*m - 230*m**3 + 12495254*m**2 - 763*m**3 - 12495257*m**2 wrt m.
-5958*m - 6
Differentiate -286 - 121 - 2645 - 2484*t - 749*t with respect to t.
-3233
Suppose 0 = 25*b - 21*b + 132. Let o = b - -35. What is the derivative of -6*y**4 - 2 - o*y**3 + 2*y**4 + 2*y**3 wrt y?
-16*y**3
Let y = 103 - 97. What is the third derivative of 388*x**y - 41*x**2 - 186*x**6 + 1 - 168*x**6 wrt x?
4080*x**3
Let w(u) be the second derivative of -u**6/15 - 69*u**5/5 + 7*u**4 + u**3 + u**2 + 95*u + 1. Find the third derivative of w(k) wrt k.
-48*k - 1656
Let p(d) be the first derivative of 6*d**7/35 + 77*d**5/30 + 53*d**2 + 26. Let k(f) be the second derivative of p(f). Find the third derivative of k(s) wrt s.
864*s
Let j(y) be the second derivative of -6*y + 2 + 0*y**5 + y**3 + 1/6*y**4 - 3*y**2 + 2/15*y**6. What is the second derivative of j(t) wrt t?
48*t**2 + 4
Suppose 0*o - 2*o = -5*s - 3490, -10 = -2*o. Let f be s/(-72) - 1/(-3)*-2. What is the first derivative of -8 - f*k - 4 - 1 wrt k?
-9
Let s(b) be the third derivative of 3 + 1/24*b**4 + 29/60*b**5 + 11*b**2 - 43/6*b**3 + 0*b. Find the second derivative of s(h) wrt h.
58
Let r(f) = -4986*f**3 - 2356*f**2 + 60. Let k(w) = 9972*w**3 + 4711*w**2 - 140. Let x(y) = 3*k(y) + 7*r(y). Find the third derivative of x(c) wrt c.
-29916
Let b(h) = 33*h + 2228. Let z(s) = -67*s - 4470. Let m(x) = 5*b(x) + 3*z(x). What is the derivative of m(g) wrt g?
-36
What is the first derivative of -700*c**3 + 1433 + 946*c**3 - 659*c**3 wrt c?
-1239*c**2
Let j(i) be the first derivative of 34*i**7/7 - 13*i**6/6 + i**3/3 + 64*i**2 - 611. Find the third derivative of j(s) wrt s.
4080*s**3 - 780*s**2
Let r(i) be the third d
|
{
"pile_set_name": "DM Mathematics"
}
|
2. What is the second derivative of c(a) wrt a?
-28
Let z(v) = 21*v**3 + v**2. Let k(s) be the second derivative of -11*s**5/10 - 4*s. Let o(y) = 4*k(y) + 5*z(y). What is the third derivative of o(t) wrt t?
102
Let n = 1175/2 + -587. Let u(l) be the second derivative of 7/20*l**5 + l + 0*l**3 + 0*l**4 - n*l**2 + 0. What is the first derivative of u(c) wrt c?
21*c**2
Find the third derivative of -10226*f + 10228*f + 81*f**5 + 7*f**2 + 43*f**2 wrt f.
4860*f**2
Let s = -1 + 4. Differentiate 9 + 0*u**3 - 15*u**s + 35*u**3 with respect to u.
60*u**2
Let l(k) be the first derivative of 11*k**5/20 + 11*k**4/4 - 31*k - 16. Let c(q) be the first derivative of l(q). Find the third derivative of c(v) wrt v.
66
Let x(o) = -2*o - 3. Let m be x(-3). Find the second derivative of -q**m + 4*q**5 + 14*q**5 - 15*q + q**3 wrt q.
360*q**3
Let r(m) = 1539*m**2 - 1537*m + 16. Let q(x) = -513*x**2 + 512*x - 6. Let l(s) = 8*q(s) + 3*r(s). What is the second derivative of l(f) wrt f?
1026
Let h(o) be the third derivative of o**6/30 - o**5/60 - 2*o**3/3 + 43*o**2. Find the first derivative of h(k) wrt k.
12*k**2 - 2*k
Let l be (6/15)/(2/10). Suppose -9 + 13 = l*z. What is the second derivative of 2*x**2 - 5*x + 7*x**5 + 0*x**z - 2*x**2 wrt x?
140*x**3
Let p(h) = -5*h + 4. Let r(s) = -s**2 + 6*s - 4. Let c be ((-6)/7)/(24/(-84)). Let z = 3 + c. Let i(v) = z*p(v) + 5*r(v). What is the derivative of i(x) wrt x?
-10*x
Let d = 858 + -103. Find the third derivative of 9*s**4 + 755 - d + 16*s**2 wrt s.
216*s
Suppose 0 = 2*t + 3 - 59. Let y be t/8*(-10)/(-7). Find the third derivative of a**2 - y*a**2 - 12*a**4 - 8*a**2 wrt a.
-288*a
Let z(q) be the third derivative of -68*q**5/15 - q**4/4 - 11*q**3/6 - 2*q**2 + 93*q. What is the second derivative of z(h) wrt h?
-544
Let x(w) be the first derivative of -w**10/1260 + w**6/360 - 7*w**3 - 2. Let q(b) be the third derivative of x(b). Find the third derivative of q(i) wrt i.
-480*i**3
Suppose d - 2*m = 2, 7 = 5*d - 4*m - 3. Find the third derivative of 19*u**6 - 18*u**6 + 0*u**d + u**2 wrt u.
120*u**3
Let x(z) be the first derivative of 61*z**4/2 + 112*z**3/3 - 63. Find the third derivative of x(c) wrt c.
732
Let h(b) = b**3 - b**2. Let c be h(1). Suppose 3*v = -c*v + 6. Find the third derivative of 0*z**5 + 4*z**5 - z**5 + v*z**2 wrt z.
180*z**2
Let s(p) = 46*p - 51. Let x(t) = -2*t + 3. Let i be x(5). Let b(z) = -23*z + 25. Let n(o) = i*b(o) - 4*s(o). Differentiate n(k) with respect to k.
-23
Let s(f) = -10*f - 5. Let a(v) be the third derivative of -11*v**4/24 - v**3 - 2*v**2. Let n(u) = -6*a(u) + 7*s(u). Differentiate n(d) with respect to d.
-4
What is the third derivative of 70*t**3 + 2*t**3 + 36*t**3 - 61*t**2 - 9*t**3 wrt t?
594
Let u(x) be the first derivative of 7*x**4/12 + 37*x**3/6 + 23*x - 4. Let t(p) be the first derivative of u(p). What is the second derivative of t(b) wrt b?
14
Let m = -117 - -122. Find the third derivative of -l**5 - 4*l**5 - 53*l**2 - 232*l + 234*l + m*l**4 wrt l.
-300*l**2 + 120*l
Let j(f) = -331*f**3 + 124*f**2 - 9*f. Let k(r) = 83*r**3 - 31*r**2 + 2*r. Let m(o) = 2*j(o) + 9*k(o). What is the third derivative of m(i) wrt i?
510
Let t be (-5)/(-15)*1*3. Let m be (3/6)/(t/6). What is the third derivative of -4*u**4 - m*u**4 + 3*u**2 - 8*u**2 + 2*u**4 wrt u?
-120*u
Let w(g) be the third derivative of 553*g**5/60 - 238*g**3/3 + 475*g**2. Differentiate w(j) with respect to j.
1106*j
Let x(j) be the second derivative of -557*j**6/30 - 295*j**3/6 - 173*j. Find the second derivative of x(p) wrt p.
-6684*p**2
Let i(w) be the first derivative of 0*w + 5 - 1/4*w**4 + 7/3*w**3 + 0*w**2. What is the third derivative of i(x) wrt x?
-6
Let s(p) be the first derivative of -17/2*p**2 + 11/3*p**3 + 0*p - 7. What is the second derivative of s(f) wrt f?
22
Differentiate -7 - 10*j**3 - j**2 + 1 + 1 + 3 wrt j.
-30*j**2 - 2*j
What is the third derivative of 12*u**2 - 245*u**2 + 21 - 36 + 137*u**4 + 15 wrt u?
3288*u
Let s(f) = -f**2 - 1 - 6*f + 2 + 4. Let h be s(-6). What is the third derivative of t**4 + 2*t**2 - 8*t**4 + h*t**2 - 2*t**2 wrt t?
-168*t
Let q(t) = t**3 - 2*t**2 - 5*t + 2. Let a be q(4). Let y = -12 + a. Find the second derivative of -4*d**y + 2*d + 3*d - 6*d wrt d.
-8
Let c(y) = -49*y**3 - 5*y**2 - 6*y - 4. Let x(m) = 393*m**3 + 39*m**2 + 48*m + 33. Let l(o) = 33*c(o) + 4*x(o). What is the third derivative of l(d) wrt d?
-270
Let t(h) be the first derivative of 3*h**8/28 - h**4/4 + 8*h + 9. Let q(o) be the first derivative of t(o). What is the third derivative of q(j) wrt j?
720*j**3
What is the third derivative of -58*b**2 - 81*b**5 - b**3 + 161*b**5 - b**3 wrt b?
4800*b**2 - 12
Suppose -4*q + 3*m + 473 = 0, 0 = -q + 4*m + 168 - 53. Let p be q/21 - (-4)/(-6). What is the second derivative of -26 + 26 - 6*y**5 + p*y wrt y?
-120*y**3
What is the second derivative of 59*u**3 - 189*u + 56*u**3 - 146*u**3 + 57*u**3 wrt u?
156*u
Let c(n) be the first derivative of n**6/3 + 11*n**4/4 + 111*n**2/2 - 44. What is the second derivative of c(w) wrt w?
40*w**3 + 66*w
Let t(b) = b**2 + 1. Suppose 0 - 6 = -3*i. Let z be t(i). Find the third derivative of 6*g**5 + 2*g**2 - 2 + 2 - g**z wrt g.
300*g**2
Let u(m) be the third derivative of 0 + 4*m**2 + 11/120*m**6 + 0*m**4 + 0*m**3 + 3/10*m**5 + 0*m. Find the third derivative of u(y) wrt y.
66
Let o(d) = d - 7. Let w be o(12). Suppose -u = u + h, -2 = w*u + 3*h. What is the second derivative of u*p**3 - 33*p + 29*p - 3*p**3 wrt p?
-6*p
Suppose -10*i + 120 = -6*i. Differentiate -6*w**2 - 2*w**2 - 3*w**2 + i with respect to w.
-22*w
Let u be (-3 - -2) + -21 + 25. Let w(f) be the first derivative of 0*f**u + 0*f + 9 + 3/2*f**2 + 7/4*f**4. Find the second derivative of w(g) wrt g.
42*g
Let f(t) be the second derivative of 9*t**5/5 + 33*t**2 + 85*t. What is the first derivative of f(y) wrt y?
108*y**2
Let a(z) be the second derivative of z**6/30 - 11*z**5/10 - z**4/3 - 4*z**2 + z - 59. Find the third derivative of a(x) wrt x.
24*x - 132
Let r be (21/9)/((-6)/(-36)). What is the second derivative of 9*y + r*y**2 + 15*y**2 - 38*y**2 wrt y?
-18
Suppose -23*l + 95 = 72. Let s(o) be the first derivative of 9/2*o**2 - 4*o + l. Differentiate s(v) wrt v.
9
Let m = -18 + 23. Let q(i) be the first derivative of -m*i + 0*i**4 + 2/5*i**5 + 2 + 0*i**2 + 0*i**3. Differentiate q(l) with respect to l.
8*l**3
Let n(x) = -x**3 - 2*x**2 + 5*x. Let m be n(-4). Let u be (m/2)/(15/10). What is the third derivative of -6*i**2 - 5*i**4 + 6*i**4 + 3*i**u wrt i?
96*i
Let x = -77 + 79. Differentiate 3*y**x + 5*y**2 - 13*y**2 + 4 wrt y.
-10*y
Let c(l) be the second derivative of l**6/5 + l**4/12 + 41*l**3/6 + l**2 + 2*l - 52. What is the second derivative of c(y) wrt y?
72*y**2 + 2
Suppose 0 = -5*n + 4*j - 2*j + 52, -8 = -n - 2*j. Differentiate n*d**4 - 15*d**4 + 12*d**4 + 14 with respect to d.
28*d**3
Let k(p) be the second derivative of p**5/20 - p**4/4 - 10*p**3 + 71*p. What is the second derivative of k(v) wrt v?
6*v - 6
Let z(r) be the third derivative of -r**8/56 + 8*r**7/35 + r**4/3 + 16*r**3/3 - 161*r**2. What is the second derivative of z(q) wrt q?
-120*q**3 + 576*q**2
Suppose 3*r = -2*r + 140. Find the third derivative of 14*p**5 - 2 - 22*p**2 + 2 + r*p**2 wrt p.
840*p**2
Let r(w) = -w**3 + 5*w**2 - w - 8. Let v be r(4). Differentiate 27*m**4 - 31*m**v - 22*m**4 - 38 wrt m.
-104*m**3
Let d(m) be the first derivative of m**6/3 + 43*m**4/4 - m**2 - 13*m + 31. What is the second derivative of d(p) wrt p?
40*p**3 + 258*p
Let s(c) be the first derivative of 0*c**3 + 6*c**2 + 11 + 9/4*c**4 + 0*c. Find the second derivative of s(j) wrt j.
54*j
Let y(o) be the third derivative of 7*o**6/120 + 77*o**5/60 - 4*o**2 - 4. What is the third derivative of y(j) wrt j?
42
Let p(h) = h**3 - 3*h**2 - 6*h + 1. Let c be p(5). Let s be -3 - -2*c/6. What is the first derivative of 3*d**s - 3 - 7*d**4 + 1 + 5 wrt d?
-16*d**3
Let t(c) = 17*c + 46. Let w(p) = 6*p + 15. Let r(g) = 3*t(g) - 8*w(g). Let i(q) = 6*q + 35. Let a(u) = 4*i(u) - 9*r(u). Differentiate a(z) wrt z.
-3
What is the third derivative of -62*d**4 + 8 - 4*d**5 - 1 + 0*d**5 + 1 + 5*d**4 + 17*d**2 wrt d?
-240*d**2 - 1368*d
Suppose 28 = -0*q + 4*q. Let f = -2 - -5. Differentiate q*k**3 - 1 - f - 3*k**3 - 3*k**3 with respect to k.
3*k**2
Suppose -18 = 1
|
{
"pile_set_name": "DM Mathematics"
}
|
n.
2
Express (1 - 1 + f)*(f - f - 2*f) - 327*f**2 - 1125*f**2 + 99*f**2 in the form x*f**2 + c + z*f and give c.
0
Express -25*k + 90*k**2 + k + 5*k + 4*k + 3*k as j + s*k + o*k**2 and give s.
-12
Express (3 + 2 - 2)*(-79559 - 11632*j + 79559) as g*j + v and give g.
-34896
Rearrange -q + 3 - 67*q**3 + 0 + 1207*q**4 - 592*q**4 - 613*q**4 to the form d*q**2 + k*q + j*q**4 + x*q**3 + p and give p.
3
Rearrange -8 + 2*u + u - u**3 - 2*u + 0*u + (-25*u - 9*u**2 + 25*u)*(5*u - u - 2*u) to x*u**3 + t*u + l*u**2 + y and give t.
1
Express 2109*l**2 + 811*l**2 + 444*l**2 - 211*l**2 - 119*l**2 as b*l**2 + q + z*l and give b.
3034
Rearrange 3*i + 6*i**2 + 431 + 108 - 7*i**2 + 58 to the form l*i**2 + q + b*i and give l.
-1
Rearrange 4*b**3 + 1 - 2*b**3 + 8637*b**4 + 3*b**2 - 8633*b**4 to the form m*b**4 + p*b**3 + u*b + y*b**2 + i and give p.
2
Express 15510*r**2 - 7751*r**2 - 7747*r**2 + 977*r in the form z + h*r + s*r**2 and give h.
977
Rearrange -51*t**4 - 2*t**4 + 35*t**4 - 4*t**2 + 19*t**4 - t + 2*t**3 to r*t**3 + s*t**4 + n*t + y + u*t**2 and give u.
-4
Rearrange 28064*n + 641406951 - 641406951 + (n - 3*n + n)*(4 - 3 + 1) to the form u + a*n and give a.
28062
Express -203*l - 2947*l + 1238 + 1232 - 2470 in the form a*l + n and give a.
-3150
Express -74*m**3 - 890*m + 2*m**4 + 80*m**3 + 887*m - 9 as q*m**3 + s*m**2 + g*m**4 + k + n*m and give q.
6
Rearrange -1260979*p + 2924*p**2 + 1260979*p to c*p**2 + g*p + q and give c.
2924
Express (10*a + 16*a - 5*a + (41*a - 20*a + 29*a)*(1 + 2 - 5))*(-5 + a + 4 + 3) as z*a**2 + c*a + t and give z.
-79
Express -9*l**2 + 7*l**2 + 10*l**2 - 7*l**2 + 1231*l in the form o*l + k*l**2 + y and give o.
1231
Rearrange (2 - 3 + 3)*(0*c - 4*c - 4*c) + (-2 - 2 + 5 + (-10 + 4 + 7)*(-2 - 2 + 1))*(5*c - 2*c - c) to h*c + j and give j.
0
Rearrange -610*p + 924*p - 773*p to o + j*p and give j.
-459
Express (-48*t - 19 + 12 + 7)*(19 - 4 - 7)*(82 - 6 + 64) as u + k*t and give k.
-53760
Express -23*f**2 - 3 - 2*f**3 - 106*f + 3*f**3 + 108*f - 46*f in the form j*f**3 + t + a*f**2 + h*f and give a.
-23
Rearrange -903*v**2 + 73*v**3 - 40*v**3 - v - 29*v**3 - 619*v**2 to the form u*v**3 + p*v**2 + r + w*v and give p.
-1522
Express (2*x - 2 - 4*x + x + (-3*x - x + 2*x)*(0 + 0 - 1) - x + 0 + 0 + 2*x - x + x)*(-22 - 366*x + 21 + 419*x) as v*x + u*x**2 + b and give u.
106
Express (-2 + 5 + 8)*(-113 + 46 - 57 - 132)*(11 - 11 - 4*v) in the form n*v + x and give n.
11264
Rearrange 6*h - 2*h + 4*h + (-1 + 6 - 2)*(20*h + 27*h - 63*h) to the form g + f*h and give f.
-40
Express 15*k**2 + 11 - 9*k**2 - 4*k**2 + (-2*k + 2*k - 4*k)*(10 - 20 - 13*k + 12) in the form u + w*k**2 + s*k and give w.
54
Rearrange -4835*z - 4818*z + 9647*z - 42 to r*z + a and give a.
-42
Rearrange 945 + 277*a**2 - 472 - 471 to the form u + c*a**2 + m*a and give m.
0
Rearrange (-w + 2*w + w)*(1 - 1 + w)*(0*w - 1010*w**2 + 9*w - 1130*w**2 + 2459*w**2) to the form h*w**3 + s*w**4 + a + t*w + g*w**2 and give h.
18
Express -112*w**3 + 4 - 194*w**2 + 107*w**3 + 114*w**2 as v*w**3 + s + a*w**2 + l*w and give a.
-80
Rearrange 2615*y - 5092*y - 3965*y to the form n*y + q and give n.
-6442
Rearrange u - 2*u + 5*u + (6426 - 6426 + 367*u)*(8 - 5 - 7) to the form t*u + p and give t.
-1464
Express -55*p + 33 + 39*p + 13*p + (4 - 2 + 1)*(3 - 3 + 2)*(4*p - 4*p - 3*p) as d + v*p and give v.
-21
Rearrange -11*t + 2371 - 781 - 785 - 789 to the form p*t + w and give w.
16
Rearrange -p**3 - 3103*p + 35 - 40 + 3103*p + 246*p**2 to i*p + a*p**2 + m + q*p**3 and give q.
-1
Express (2*i**2 + 0*i**2 + 2*i**2)*(0 + 1 + 0 + (-3 + 5 + 2)*(-4 + 6 + 0) + (-2 + 2 + 2)*(-1 + 1 + 1)) in the form v*i + t*i**2 + g and give t.
44
Express 7 + 1 - a - a**2 - 3 - a**3 + 6*a + 9*a as i*a**2 + t*a + y + o*a**3 and give t.
14
Rearrange (-5745*i**3 - 1042*i**3 - 23 + 23)*(-4 + 4 - 4) to the form o + r*i + p*i**3 + h*i**2 and give o.
0
Express 2080*m**3 - 1556*m**3 + 29*m**2 - 36*m**2 as u + z*m**2 + w*m + k*m**3 and give z.
-7
Rearrange -490*t - 514*t - 2*t**3 - 1 - 190*t**4 + 1016*t to the form w*t**2 + p*t**4 + v + b*t**3 + u*t and give v.
-1
Rearrange (3 + 68*r - 79*r - 1)*(-329 - 70 - 256) to the form u + v*r and give u.
-1310
Rearrange -938*y**2 + 141*y + 159*y**2 - 143*y to the form a*y + k + w*y**2 and give w.
-779
Express 204*g + 223*g - 2 + 2*g**4 - 353*g + 4*g**3 - 2*g**2 in the form a*g**4 + i*g + u*g**3 + f + w*g**2 and give w.
-2
Rearrange -1 - 1413*l - 3 + 4 - 3397*l to the form n + w*l and give w.
-4810
Rearrange -1492*y - 5 - 20 + 25 to v + k*y and give k.
-1492
Rearrange -6261*d + d**4 + 0*d**2 - 2 + d**2 + 5172*d to the form u*d**2 + p*d + w + n*d**3 + i*d**4 and give p.
-1089
Express -1348*h**2 - 109*h**2 - 3089*h**2 - 1071*h**2 - 604*h**2 in the form c*h**2 + b*h + n and give c.
-6221
Express (-184 + 184 + p**2)*(-173 + 173 - 213*p) + 5*p**3 + 0*p**3 - 4*p**3 in the form c*p + s*p**3 + j*p**2 + d and give s.
-212
Rearrange 7*n - 2*n - 2*n + (-3 - 3 + 5)*(-n + 0*n + 2*n) - 1134*n - 1136*n + 2341*n + 24 - 3*n - 24 to the form d*n + x and give d.
70
Rearrange (330 - 244 - 185)*(-3*g - 2*g**2 + 3*g) - g**2 + 2*g**2 - 2*g**2 to the form n*g**2 + m + z*g and give n.
197
Rearrange -29085*w + 8070946 - 8070946 to k + f*w and give f.
-29085
Rearrange -115 + 6839*o + 115 + 6642*o to the form v + r*o and give r.
13481
Rearrange 360*z**2 - 144*z**2 + 2*z - 9851 - z**3 + 9848 to the form h*z**3 + o + r*z + l*z**2 and give l.
216
Rearrange -7*d**4 + 282*d - 139*d - 93 - d**3 + 178 - 142*d - 18*d**2 - 91 to z + l*d**4 + m*d**2 + o*d + u*d**3 and give m.
-18
Rearrange -238*a - 155812 + 155812 + (0*a + 3*a - 5*a)*(1 + 2 - 1) - 5*a - 5*a + 3*a to the form n + m*a and give m.
-249
Express -659 + 691 - r + r**2 + r in the form b*r + z + y*r**2 and give z.
32
Express (4 - 1 - 1)*(30*l - 10271*l**2 + 108*l - 137*l) + 2*l**2 + 0*l + l + l in the form c*l + b*l**2 + h and give h.
0
Express -1 - 907*h + 1769*h + 4*h**2 + 21*h**3 + 2 - 888*h in the form m + c*h + w*h**2 + b*h**3 and give b.
21
Rearrange -15*s**2 - 5*s + 5*s**2 + 73 + 3*s**4 - 231 + 81 + 15*s**3 + 76 to c*s**2 + g*s + b*s**3 + j + d*s**4 and give b.
15
Rearrange (27*a**2 + 29*a**2 + 60*a**2)*(0*a**2 - 2*a**2 + 4*a**2) + (8 - 19 - 4)*(-2*a**3 + a**4 + 2*a**3) to r*a**3 + v*a**4 + x + z*a + q*a**2 and give v.
217
Rearrange -1562*g + 7148*g + 3516 - 3516 to a + q*g and give q.
5586
Express -1925 + 3*s + s**3 + 3814 - 5*s**4 - s**3 - 1955 in the form v*s**4 + r*s**2 + w*s + a*s**3 + u and give v.
-5
Rearrange -174*b**2 - 1952*b + 1959*b + 10*b**2 to the form i + n*b + f*b**2 and give n.
7
Rearrange 0 - 174*t - 1514*t + 0 to the form o + f*t and give f.
-1688
Express -81423866 - 10620*u + 81423866 as h*u + z and give h.
-10620
Express -1636*x**3 - 219*x**3 + 8762*x**3 + (-x**3 + 2*x**3 - 2*x**3)*(2 + 0 - 3) in the form r*x**3 + c*x + u*x**2 + b and give r.
6908
Express 20 - 4*w + 362 - 52 + 5*w + 2*w in the form r + h*w and give h.
3
Rearrange -7340*j + 7340*j - 9 - 63*j**2 to l*j**2 + f + k*j and give l.
-63
Express 56*n - 29*n**3 - 13*n + 1 - n**2 + 6 - 33*n**3 - 46*n as p*n + d + j*n**2 + a*n**3 and give a.
-62
Rearrange 12 - 3*b**4 - 1 - b + 0*b**2 - 3*b**2 - 10 - 16*b**3 to t*b**4 + w + h*b**3 + o*b**2 + q*b and give h.
-16
Express -v**2 - v + 3*v**2 + 0*v**2 + (-3*v - v + 6*v)*(-1 + 1 + 2*v) - 81 + 81 - 77*v**2 + 11*v**2 + 12*v**2 - 14*v**2 as o*v**2 + i*v + p and give i.
-1
Rearrange 460*z**3 + 23*z**4 + 11*z - 3*z + 3*z - 463*z**3 - 26*z**4 to the form j*z**3 + t*z**4 + i*z**2 + p*z + a and give a.
0
Rearrange (347*j - 58155 + 1746*j + 58153)*(j + 5*j - 2*j) to d*j**2 + v*j + l and give v.
-8
Rearrange 228*p**4 + p**3 + 6 - 399*p**4 + 172*p**4 + 270*p to the form s + y*p**2 + j*p**3 + o*p**4 + r*p and give j.
1
Express 44124*z - 4 + 3 - 89079*z + 44594*z in the form y + i*z and give y.
-1
Express 2*u**4 - 37*u - 104*u**3 - 15*u + 2*u**2 + 11*u + 102*u**3 in the form o*u**3 + k*u**4 + g*u + c + m*u**2 and give k.
2
Rearrange -122*g**3 + 944 + 125*g**3 - 17 to h*g**2 + n*g**3 + f*g + o and give n.
3
Express 33*b**4 - 3*b**3 + 5*b**3 - 4*b**2 - 4*b**3 - b + 8*b**2 in the form a*b**4 + f*b + d*b**2 + j*b**3 + r and give j.
-2
Rearrange (25511 + 5008 + 16134)*(1 + m**2 - 1) to d + j*m + g*m**2 and give g.
46653
Rearrange (-6 - 12 + 37)*(-3 - 2 + 3)*(-55
|
{
"pile_set_name": "DM Mathematics"
}
|
er 4:44 PM?
7:18 PM
How many minutes are there between 6:34 AM and 4:21 PM?
587
How many minutes are there between 3:07 AM and 2:32 PM?
685
What is 406 minutes before 4:47 AM?
10:01 PM
What is 699 minutes before 5:31 PM?
5:52 AM
What is 152 minutes after 4:33 AM?
7:05 AM
What is 236 minutes after 2:33 PM?
6:29 PM
How many minutes are there between 3:33 PM and 8:54 PM?
321
How many minutes are there between 10:35 PM and 9:54 AM?
679
What is 485 minutes after 11:59 AM?
8:04 PM
What is 274 minutes after 5:03 AM?
9:37 AM
What is 354 minutes before 8:35 PM?
2:41 PM
What is 687 minutes after 2:32 AM?
1:59 PM
What is 691 minutes before 4:04 PM?
4:33 AM
What is 292 minutes before 7:30 PM?
2:38 PM
What is 444 minutes after 4:53 AM?
12:17 PM
What is 719 minutes after 7:08 PM?
7:07 AM
What is 423 minutes after 12:04 PM?
7:07 PM
What is 342 minutes after 11:57 AM?
5:39 PM
What is 573 minutes before 6:12 PM?
8:39 AM
What is 103 minutes before 8:10 PM?
6:27 PM
How many minutes are there between 11:15 AM and 10:10 PM?
655
What is 376 minutes after 5:24 PM?
11:40 PM
What is 685 minutes before 8:47 PM?
9:22 AM
What is 588 minutes before 4:55 AM?
7:07 PM
What is 543 minutes after 5:11 AM?
2:14 PM
What is 121 minutes before 1:36 AM?
11:35 PM
How many minutes are there between 3:54 PM and 11:06 PM?
432
How many minutes are there between 11:35 AM and 6:36 PM?
421
What is 439 minutes after 8:21 AM?
3:40 PM
What is 535 minutes before 12:23 PM?
3:28 AM
How many minutes are there between 6:31 PM and 9:07 PM?
156
How many minutes are there between 9:46 PM and 3:40 AM?
354
How many minutes are there between 2:37 PM and 1:20 AM?
643
How many minutes are there between 11:20 AM and 5:36 PM?
376
How many minutes are there between 6:04 PM and 9:59 PM?
235
How many minutes are there between 11:18 PM and 9:15 AM?
597
What is 448 minutes after 11:50 PM?
7:18 AM
How many minutes are there between 5:55 PM and 5:00 AM?
665
How many minutes are there between 7:14 PM and 11:25 PM?
251
How many minutes are there between 12:23 AM and 7:32 AM?
429
How many minutes are there between 11:59 AM and 9:11 PM?
552
What is 657 minutes before 1:04 AM?
2:07 PM
What is 331 minutes after 5:22 AM?
10:53 AM
How many minutes are there between 10:48 PM and 1:00 AM?
132
What is 679 minutes after 3:57 PM?
3:16 AM
What is 120 minutes after 6:32 PM?
8:32 PM
What is 643 minutes before 9:14 AM?
10:31 PM
How many minutes are there between 8:42 AM and 4:42 PM?
480
What is 292 minutes after 6:41 AM?
11:33 AM
What is 145 minutes before 9:01 PM?
6:36 PM
How many minutes are there between 10:40 PM and 12:43 AM?
123
How many minutes are there between 6:01 PM and 7:32 PM?
91
How many minutes are there between 3:02 PM and 8:27 PM?
325
How many minutes are there between 7:54 AM and 1:14 PM?
320
What is 418 minutes before 6:15 AM?
11:17 PM
How many minutes are there between 8:18 AM and 5:54 PM?
576
How many minutes are there between 12:24 PM and 10:34 PM?
610
How many minutes are there between 2:32 AM and 5:00 AM?
148
How many minutes are there between 11:48 PM and 1:24 AM?
96
What is 186 minutes before 5:53 PM?
2:47 PM
How many minutes are there between 1:51 PM and 3:02 PM?
71
What is 719 minutes before 2:41 AM?
2:42 PM
How many minutes are there between 1:35 AM and 10:02 AM?
507
How many minutes are there between 11:42 AM and 4:21 PM?
279
How many minutes are there between 7:14 AM and 5:39 PM?
625
How many minutes are there between 7:07 AM and 9:08 AM?
121
How many minutes are there between 5:28 PM and 6:28 PM?
60
How many minutes are there between 5:59 AM and 5:27 PM?
688
What is 446 minutes after 12:02 AM?
7:28 AM
What is 255 minutes before 4:30 AM?
12:15 AM
What is 428 minutes after 6:24 PM?
1:32 AM
What is 4 minutes after 4:44 AM?
4:48 AM
How many minutes are there between 4:38 AM and 6:09 AM?
91
How many minutes are there between 1:25 AM and 5:28 AM?
243
What is 20 minutes before 11:11 PM?
10:51 PM
What is 173 minutes before 1:56 PM?
11:03 AM
How many minutes are there between 1:00 AM and 12:43 PM?
703
What is 62 minutes before 11:51 AM?
10:49 AM
What is 102 minutes before 6:05 AM?
4:23 AM
What is 453 minutes after 5:10 PM?
12:43 AM
What is 175 minutes before 11:52 PM?
8:57 PM
How many minutes are there between 7:29 PM and 12:32 AM?
303
How many minutes are there between 12:18 AM and 10:38 AM?
620
How many minutes are there between 3:51 AM and 2:34 PM?
643
How many minutes are there between 5:30 AM and 8:04 AM?
154
How many minutes are there between 3:39 AM and 11:33 AM?
474
How many minutes are there between 7:43 PM and 7:03 AM?
680
How many minutes are there between 12:32 AM and 2:56 AM?
144
What is 130 minutes before 9:59 PM?
7:49 PM
What is 388 minutes before 12:16 PM?
5:48 AM
How many minutes are there between 8:21 AM and 6:44 PM?
623
What is 398 minutes before 8:57 AM?
2:19 AM
How many minutes are there between 4:12 PM and 1:55 AM?
583
What is 394 minutes after 12:48 AM?
7:22 AM
What is 374 minutes after 4:08 AM?
10:22 AM
How many minutes are there between 12:12 AM and 9:29 AM?
557
What is 289 minutes after 6:32 PM?
11:21 PM
How many minutes are there between 3:50 PM and 1:28 AM?
578
What is 552 minutes before 2:52 AM?
5:40 PM
What is 583 minutes before 12:53 AM?
3:10 PM
How many minutes are there between 4:26 PM and 6:29 PM?
123
What is 89 minutes before 11:04 AM?
9:35 AM
What is 557 minutes before 4:54 AM?
7:37 PM
How many minutes are there between 3:10 AM and 11:22 AM?
492
What is 419 minutes before 1:17 PM?
6:18 AM
What is 532 minutes after 9:24 PM?
6:16 AM
How many minutes are there between 3:19 AM and 10:27 AM?
428
What is 19 minutes after 7:50 AM?
8:09 AM
How many minutes are there between 9:55 PM and 11:02 PM?
67
What is 707 minutes before 11:14 AM?
11:27 PM
What is 597 minutes before 12:40 PM?
2:43 AM
How many minutes are there between 3:56 AM and 11:20 AM?
444
How many minutes are there between 3:04 AM and 8:29 AM?
325
What is 82 minutes after 11:57 PM?
1:19 AM
How many minutes are there between 11:53 PM and 1:54 AM?
121
What is 457 minutes before 1:28 PM?
5:51 AM
What is 107 minutes after 9:01 AM?
10:48 AM
How many minutes are there between 12:58 PM and 1:04 PM?
6
How many minutes are there between 4:17 AM and 12:22 PM?
485
How many minutes are there between 11:43 AM and 3:06 PM?
203
How many minutes are there between 8:57 PM and 9:41 PM?
44
How many minutes are there between 7:15 AM and 5:07 PM?
592
What is 490 minutes after 5:19 AM?
1:29 PM
What is 568 minutes after 6:01 PM?
3:29 AM
How many minutes are there between 7:37 AM and 11:08 AM?
211
How many minutes are there between 1:20 PM and 2:00 PM?
40
How many minutes are there between 11:54 PM and 7:03 AM?
429
How many minutes are there between 7:01 AM and 1:32 PM?
391
What is 670 minutes after 10:19 AM?
9:29 PM
What is 391 minutes after 7:29 AM?
2:00 PM
How many minutes are there between 6:25 PM and 10:23 PM?
238
How many minutes are there between 8:21 AM and 10:03 AM?
102
How many minutes are there between 9:18 PM and 5:31 AM?
493
What is 416 minutes before 5:11 PM?
10:15 AM
What is 337 minutes after 1:19 AM?
6:56 AM
How many minutes are there between 3:46 AM and 1:27 PM?
581
How many minutes are there between 10:45 PM and 2:07 AM?
202
How many minutes are there between 7:17 PM and 4:30 AM?
553
What is 332 minutes before 1:52 AM?
8:20 PM
How many minutes are there between 4:21 PM and 9:24 PM?
303
How many minutes are there between 1:59 AM and 6:33 AM?
274
How many minutes are there between 7:46 PM and 5:06 AM?
560
What is 173 minutes before 7:37 PM?
4:44 PM
How many minutes are there between 9:34 PM and 5:12 AM?
458
What is 145 minutes before 1:27 PM?
11:02 AM
What is 507 minutes after 7:46 PM?
4:13 AM
What is 152 minutes before 4:15 PM?
1:43 PM
What is 243 minutes after 4:09 AM?
8:12 AM
How many minutes are there between 12:22 PM and 12:55 PM?
33
What is 687 minutes after 7:58 PM?
7:25 AM
How many minutes are there between 6:33 AM and 10:58 AM?
265
What is 704 minutes after 7:22 AM?
7:06 PM
How many minutes are there between 12:35 AM and 10:07 AM?
572
What is 332 minutes before 11:02 PM?
5:30 PM
What is 244 minutes after 4:32 AM?
8:36 AM
How many minutes are there between 3:56 PM and 8:26 PM?
270
How many minutes are there between 2:1
|
{
"pile_set_name": "DM Mathematics"
}
|
(5 + 0 + sqrt(539))) + sqrt(539))*-3)**2)*-2.
2688*sqrt(11) + 165734
Simplify -6*(2*sqrt(192)*-1 + -5*(2 + sqrt(192)))**2 + 5.
-57043 - 6720*sqrt(3)
Simplify (5*sqrt(1764)*-4)/(5*sqrt(192)*2 + sqrt(192)) + 1.
-35*sqrt(3)/11 + 1
Simplify ((sqrt(500) + 0 + sqrt(500) + 1)*-2)**2 + -1 + (-5 + (sqrt(500) - (0 + sqrt(500) + 2))*6)**2.
160*sqrt(5) + 8292
Simplify ((2*-1*-1*sqrt(65)*2)/(3*(sqrt(5) - sqrt(10)/sqrt(2)) - (sqrt(125)*1 + sqrt(5))))**2.
52/9
Simplify (6*-2*(-3*(5 + 0 + (1 + sqrt(432))*4) + -4)*3)**2.
11570688*sqrt(3) + 81867024
Simplify (1 + -6*(sqrt(432) + -1) - (4 + (sqrt(432) - (-4 + sqrt(432) + -2))**2))*2*4.
-576*sqrt(3) - 264
Simplify ((((sqrt(72) - (2*sqrt(72)*-4 - sqrt(72)))/sqrt(6))/(sqrt(294) - 4*(sqrt(294) + (sqrt(294)*-2 - sqrt(294)))) + 1)*2)**2.
80*sqrt(2)/63 + 16676/3969
Simplify ((sqrt(16) + sqrt(16)*2)/sqrt(2))**2 + (-1 + sqrt(648) - sqrt(648)) + 5 + (-1*sqrt(4050))**2.
4126
Simplify -4*(3 + (1 + sqrt(1216))*5 + (sqrt(1216) - (sqrt(1216) + 1 + sqrt(1216) + -2)) + 2 + (sqrt(1216) - (sqrt(1216) + 0)) + sqrt(1216) + -5)**2.
-121744 - 1920*sqrt(19)
Simplify 4*(-4 + sqrt(272) + -2)*-6 - ((-4*-1*sqrt(204))/sqrt(12) + (5*(-2 + sqrt(51)/sqrt(3)))**2).
-381
Simplify (sqrt(18) - (sqrt(2592) + sqrt(2592)*1 + sqrt(2592)))/((sqrt(72)*1)/sqrt(8)) - (sqrt(18) + -2*sqrt(72) + 0)**2.
-162 - 35*sqrt(2)
Simplify (((sqrt(700)*-2 + 0 - sqrt(700)) + -4 + (sqrt(700)*-2 - sqrt(700)))*2 + (0 + sqrt(700))*1 + sqrt(700)*-3 + 3)**2.
1400*sqrt(7) + 137225
Simplify (-2*2*sqrt(684) + (sqrt(304) - (sqrt(304) + 0)) + (sqrt(19) - sqrt(133)/(sqrt(7)*-2)))**2 + 1*(0 + 1 + sqrt(304)) + -4.
4*sqrt(19) + 38463/4
Simplify (4*-4*-2*sqrt(512))/((sqrt(400)*2)/(sqrt(8)/(sqrt(2)*2))).
64*sqrt(2)/5
Simplify -1 + sqrt(34)/(sqrt(2)*-2) + 2 + (-2*1*sqrt(34))/(6*(sqrt(2) + sqrt(6)/sqrt(3))).
-2*sqrt(17)/3 + 1
Simplify ((-3 + -4 + (-4*(0 + sqrt(450) + sqrt(450)) - sqrt(450)) + (-1 + sqrt(450))*2 + sqrt(450))**2 + 0)*-6.
-97686 - 9720*sqrt(2)
Simplify (-5 + sqrt(2)*1 - (1*sqrt(12))/sqrt(6) - sqrt(8)/sqrt(4)*-3*2 - -1*(3 + -2*sqrt(162) + -5))**2.
168*sqrt(2) + 337
Simplify ((-5*(-2 + sqrt(1700)))**2 + 2 + ((1*sqrt(68) - sqrt(68))**2 - sqrt(68)) + 4)*-2.
-85212 + 2004*sqrt(17)
Simplify -6*-1*(sqrt(275) + 3 + -1 + 3)*4.
120 + 120*sqrt(11)
Simplify ((sqrt(112)*-1*6)/sqrt(4)*4)/(-3*sqrt(100) - sqrt(484)*3).
sqrt(7)/2
Simplify (-1*sqrt(133)*-1 - -3*sqrt(133)*-2)/(6*(2*sqrt(700) - sqrt(700)) - -6*(2*sqrt(700) + sqrt(700)))*-2.
sqrt(19)/24
Simplify 2*-2*sqrt(1300) + 5 + (2 + -6*(1*sqrt(1300) - sqrt(1300)))**2 + -3.
-40*sqrt(13) + 6
Simplify -5 + (sqrt(128) + -1 + 5)**2 + (0 + sqrt(128) + sqrt(128))*-3 + (-2 + sqrt(128) - sqrt(128))**2 + 3.
16*sqrt(2) + 146
Simplify ((-3 + 6*(sqrt(363) - (sqrt(363) - (5 + 1 + sqrt(363)))) - (0 + sqrt(363) + -4)*4*1)*-1)**2.
2156*sqrt(3) + 3853
Simplify -4 + (5*(5 + -1*sqrt(700)) + (sqrt(700) + 2)*6 + -5*-2*sqrt(700) + -4)**2.
7260*sqrt(7) + 85785
Simplify (-5*(sqrt(684) + (sqrt(684) + 0 + sqrt(684))*3 - (sqrt(684) - (-2 + -1*sqrt(684)))) + 2 + -4)**2.
-2400*sqrt(19) + 427564
Simplify ((sqrt(832) - (sqrt(832) + sqrt(832)*1)*1)*-4)**2 + (sqrt(832) - (-3 + sqrt(832)*1))**2 + 3 + 1.
13325
Simplify (sqrt(450) - 2*sqrt(450))/(sqrt(80)/sqrt(200)) + 1 + (sqrt(35)/sqrt(175))**2 + sqrt(45)/(sqrt(36) + sqrt(9)).
-44*sqrt(5)/3 + 6/5
Simplify (((sqrt(65) - -6*1*sqrt(65)) + -4*-2*sqrt(65))*2)/(3*sqrt(40)/(sqrt(200)*-1)).
-50*sqrt(13)
Simplify 5*sqrt(57)/(sqrt(192)*2) - -5*(sqrt(57) - sqrt(456)/(sqrt(24)/sqrt(3)))/sqrt(3).
5*sqrt(19)/16
Simplify (-2*((sqrt(110) + 1*sqrt(110) - sqrt(110)) + sqrt(110))*-1*4)/(-5*sqrt(40)/sqrt(4) - (sqrt(90)*1)/sqrt(9)) + 1.
-8*sqrt(11)/3 + 1
Simplify ((-3*sqrt(84)*-2 - 2*sqrt(84)*1)/(2*(1*sqrt(48) + (-2*sqrt(84) + sqrt(84))/sqrt(7) + sqrt(12))))**2.
7
Simplify (4*sqrt(2688) - (sqrt(378) + 3*sqrt(378)))/(((sqrt(216) + -4*sqrt(216))*-4)/sqrt(4)).
5*sqrt(7)/9
Simplify ((-2*1*sqrt(384) - sqrt(384) - -1*sqrt(384)*2)/(sqrt(40)/(sqrt(45)*4)))**2 + 1.
6913
Simplify (((-2*-2*sqrt(204) - (sqrt(204) + (sqrt(204) - sqrt(204)*1))*4)*2)/(1*3*-4*sqrt(300)))**2 + 4.
4
Simplify -4*(sqrt(52)/sqrt(4) + 1 + 4)**2 + (1*-1*sqrt(130))/(sqrt(40)*1) + 4.
-148 - 81*sqrt(13)/2
Simplify 0 + ((-2*sqrt(847) - sqrt(847))*-2 + 4 - (-5 + -1 + sqrt(7) + (sqrt(7) + -1)*-3)).
7 + 68*sqrt(7)
Simplify (5*sqrt(816) - sqrt(102)/(1*sqrt(2)))/((sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432) + -2*sqrt(432)) - sqrt(432)) + sqrt(432) + sqrt(432)))*3).
-19*sqrt(17)/108
Simplify 1*((0 + sqrt(75) + 6*(sqrt(75) + 0) - (-2 + sqrt(75) + sqrt(75)*-1 + 3))**2 + 4).
-70*sqrt(3) + 3680
Simplify (1 + 4 + ((sqrt(130) + 2*sqrt(130))*-6 + sqrt(130))/sqrt(10) + -6*(-3 + sqrt(325)*-1 + sqrt(325))*-4)**2.
2278*sqrt(13) + 8246
Simplify (3*(sqrt(18) + ((sqrt(72) - -1*sqrt(72))/sqrt(4))**2) - ((sqrt(18) + 4 + sqrt(2))**2 + 6*sqrt(8)/sqrt(4)))*2.
-58*sqrt(2) + 336
Simplify ((sqrt(1944)*2*3)/((sqrt(200) - sqrt(200)*1) + sqrt(200) - (sqrt(8) - sqrt(1152)*2)) + 5)**2 + 2.
135*sqrt(3)/7 + 7479/196
Simplify (4 + -6*((-2 + sqrt(1331)*2 + -3)*-1 + 2) + 5)**2.
-8712*sqrt(11) + 192753
Simplify ((4 + sqrt(200) + 2)**2 - (sqrt(16)/sqrt(2)*6 + (-2*sqrt(40))/sqrt(5)))*-5.
-1180 - 560*sqrt(2)
Simplify 1*4*((-3*sqrt(539))**2*-2 + sqrt(1584) + (1 + sqrt(1584) - sqrt(1584))*3 + sqrt(1584) + sqrt(1584) + sqrt(1584)).
-38796 + 192*sqrt(11)
Simplify (((sqrt(693) - -3*sqrt(693))*-1 - 1*(sqrt(693)*-3 + sqrt(693)))/(4*-4*2*sqrt(539)))**2.
9/1792
Simplify (sqrt(176)/((sqrt(8)/sqrt(2) - sqrt(4) - sqrt(4))*4) - (sqrt(396) + sqrt(396) + (sqrt(396)*1*4 - sqrt(396))))/((4*(sqrt(44) + sqrt(704)))/sqrt(176)).
-61*sqrt(11)/20
Simplify (((sqrt(136) - (sqrt(136) + -3*sqrt(136)*2)) + -3*sqrt(136)*-6)/(2*(sqrt(128) + sqrt(128) + 2*sqrt(128)*2)))**2.
17/4
Simplify 4*((sqrt(33)/(6*sqrt(12)/sqrt(4)))**2 + 5 + 3 + sqrt(220)/sqrt(5) + 5).
8*sqrt(11) + 479/9
Simplify ((sqrt(175) - 4*sqrt(175)*-1)/(sqrt(25)/sqrt(45)))/(sqrt(847)*-1 + (sqrt(7) - (sqrt(175)*-2 - sqrt(175)))) + 2.
2 + 3*sqrt(5)
Simplify (sqrt(153) + 1)**2 + -3 - ((2 + sqrt(153))**2 - -1*sqrt(153)) - (1*(0 + sqrt(2057)) + 1)*2.
-31*sqrt(17) - 8
Simplify (6*(sqrt(192) + (sqrt(192) - 1*sqrt(192))) + sqrt(192))**2 + 4 - (3*(sqrt(768))**2 - (sqrt(240)/sqrt(5) + -2)**2).
-16*sqrt(3) + 7160
Simplify (-1 + 2 + (5*(sqrt(704) - (0 + sqrt(704))) + -3*(-1 + sqrt(704)) + sqrt(704))*-1 + 5 + 0)**2.
96*sqrt(11) + 2825
Simplify (sqrt(95) + -2*(sqrt(95) + -1*sqrt(95)) + (sqrt(95) - -2*sqrt(95))*1)/(-5*sqrt(20)/sqrt(4) + sqrt(720)*3).
4*sqrt(19)/31
Simplify (((sqrt(117) - 2*sqrt(117))*6)/(sqrt(3)*2*4))/(1*-5*sqrt(300)*-3).
-sqrt(13)/200
Simplify sqrt(468) + 4 - (4 + 3 + sqrt(13)) - (1 + sqrt(1573)*5 + 4)**2.
-39353 - 545*sqrt(13)
Simplify (sqrt(50)/sqrt(5)*1)/(-5*sqrt(8)/sqrt(4)) + -4*sqrt(5) + -1 + sqrt(5) + (sqrt(80) + (sqrt(80) + -4 - sqrt(80)) + sqrt(80))**2 + -1.
-336*sqrt(5)/5 + 334
Simplify (-2*sqrt(1900) + 1 - (1 + sqrt(1900))*-3)**2*-6 + (sqrt(1900) + 4*sqrt(1900))*1*-2 + -2.
-11498 - 580*sqrt(19)
Simplify ((0 + 3 + sqrt(588) - (sqrt(588) + sqrt(588) + 0)*-6)*-2 + -5)**2.
8008*sqrt(3) + 397609
Simplify (sqrt(126)/(-5*sqrt(9)) + sqrt(2016) + -2*sqrt(2016) + sqrt(2016) + sqrt(2016))/((sqrt(28)*-2)/sqrt(4) + (sqrt(7) - sqrt(175) - sqrt(7))*-4).
59*sqrt(2)/90
Simplify -3*-4*sqrt(130)/(sqrt(10) + sqrt(120)/sqrt(3)) - -4*(-3 + sqrt(1872)*1)**2*-3.
-22572 + 868*sqrt(13)
Simplify (sqrt(147)*-1 + 0 + (sqrt(147) - -1*(sqrt(147) + -3)) + 3 + 1 + -5)**2.
-56*sqrt(3) + 163
Simplify 4*sqrt(57)/(sqrt(450)/sqrt(6)) + -4 + 6*(1 + sqrt(1900)).
2 + 304*sqrt(19)/5
Simplify (-4 + 6*(6*sqrt(125)*1 + sqrt(125) - (sqrt(125) + (sqrt(125) - (sqrt(125) - 2*-4*sqrt(125))) - sqrt(125))) + -2 + 4)**2.
-1800*sqrt(5) + 1012504
Simplify ((4 + (1 + sqrt(192) - sqrt(192)) - (-5 + sqrt(192) + 1))**2 - (sqrt(27) + 1 + 5 + -4*(sqrt(27) - sqrt(243)))**2) + -2.
-1952 - 468*sqrt(3)
Simplify (((-2*sqrt(425)*5 + sqrt(425) - ((sqrt(425) - sqrt(425)*1) + 4))*2 - (2*sqrt(425)*-2 + 5)*-2)*2)**2.
-2080*sqrt(17) + 1149216
Simplify (sqrt(2448)*1 + sqrt(2448) - sqrt(2448)) + -5 + -5*(sqrt(2448) + -2) - 6*((sqrt(2448) + 1)**2 + -3)*-6.
816*sqrt(17) + 88061
Simplify (4*(sqrt(160) - -1*1*sqrt(160)))/((-3*sqrt(80)*2)/(sqrt(110)/sqrt(99))).
-8*sqrt(5)/9
Simplify ((0 + sqrt(208) + (sqrt(208) + 4 - sqrt(208) - sqrt(208)) + sqrt(208))*
|
{
"pile_set_name": "DM Mathematics"
}
|
d*p = -12, 2*h - h - p = -4 for h.
0
Let x be 0/1*-3*(-2)/12. Let m(j) = -2*j + 8. Let p be m(x). Solve -3*d - 5*w = -32, -4*d + p*d + 2*w = 24 for d.
4
Let a be -7 + 7 + 7 + 7. Solve 0 = -f + 5*m - a - 11, 15 = f + 5*m for f.
-5
Suppose 3*w - 8 + 20 = 0, -4*m + 3*w + 16 = 0. Solve -2*q + o = -m, 18 = -4*q - 4*o + 2 for q.
-1
Suppose -3*g - 10 = -5*g. Suppose 2*k = -2*k. Let w = g + k. Solve 5*o + 13 + 13 = -a, -5*o = -w*a + 20 for a.
-1
Suppose -7*b = -0*b. Suppose b = -4*d - d - y + 24, -y + 8 = d. Let i = -4 + 6. Solve -i*o - t = 2, -d*t = -0*t + 16 for o.
1
Let r(j) = 22*j + 3. Let w be r(1). Solve 0*g - 5 = -4*g + b, 5*g - w = 5*b for g.
0
Let r be 2 - -3 - (2 - 2). Suppose -r*s + 15 = -0*s. Solve -d - 1 = 2*d + u, 4*d = s*u + 16 for d.
1
Let t be 1/(-4 + ((-2480)/(-156))/4). Let h = t + 49. Solve -6*r + r + h = l, r - 11 = -2*l for l.
5
Suppose -95 + 135 = 2*n. Solve 3*o + 0*r + 5 = 2*r, 0 = -5*r + n for o.
1
Suppose 4*t + t = 25. Suppose -t*f + 0*f + u = 143, -43 = f - 5*u. Let g be 8/20 - f/5. Solve 0 = -q - 4*w - 0*w - g, 10 = -5*w for q.
2
Let i be ((-4)/3)/(4/(-30)). Let h be (682/385 + 3/7)*5. Solve 0 = z + 4*c + h + i, -21 = 5*z - c for z.
-5
Let n be 11 - (-6 - 2 - -14). Solve 0*v + 4*g + 1 = -3*v, -n*g = -v + 25 for v.
5
Let y(u) = -10*u + 113. Let k be y(11). Solve h + 5 - k = -l, 5*l + 12 = -4*h for l.
-4
Let a(d) = -d**3 + 5*d**2 + 16*d - 9. Let n be a(7). Solve -n = -2*o + 6*o + i, -i + 3 = 0 for o.
-2
Suppose -27 = -7*c + 4*c. Suppose -10*m + 11*m = c. Suppose m*q - 4 = 7*q. Solve -2*y = q*w, -w - 3*w - 8 = -4*y for w.
-1
Suppose 0 = z - 1, -2*n - 9 = 5*z - 40. Solve 9*s + t = 12*s + n, -s + 4*t = 8 for s.
-4
Let h be (-2)/(-8) + 19/4. Solve -2*i + 27 = -h*c, -2*i - 12 = i + 3*c for i.
1
Let r(o) = -o**2 - 9*o - 23. Let i be r(-7). Let u = i + 12. Solve 4*j + 8 = 0, u*h - 4*j + j - 12 = 0 for h.
2
Let g = 0 - 0. Suppose 14*f + 94 = 61*f. Let x be f + (0 - g) + 2. Solve -i = -x*c + 9, -3*i = -3*c - 0*i + 18 for c.
1
Let m = -20 + 24. Solve 0 = -u - 3*y + 7, -u + 5 + 4 = m*y for u.
1
Suppose -107*u + 80 = -91*u. Solve -3*b - 2*b = -u*a - 10, 4*a - 2*b - 2 = 0 for a.
3
Let m = -101 - -104. Let r(p) = p**3 - 4*p**2 + 6*p - 6. Let w be r(m). Solve c + 2 = 3*l, 0 = 2*l - w*l + 3*c - 10 for l.
2
Let c be 6/(-2) - (-4 + 1). Suppose -2*v + c = 5*z - 22, 0 = 5*z - 4*v - 16. Solve 0*y + z*y - 4 = -j, 3*j - 12 = -y for j.
4
Let f = -151 + 151. Let c = -3 + 6. Suppose f*d = d - c. Solve 2*w - 5*b = -w, -d = -b for w.
5
Let u(m) be the first derivative of m**2/2 - m - 13. Let d be u(6). Solve s - 3*s - b = -7, 20 = d*s + 5*b for s.
3
Suppose 0 = -5*v + 15. Suppose -3*x + 10 = a, 0 + 2 = 2*a - v*x. Solve -2*w + 12 = -0*w + a*y, -4*w - y + 3 = 0 for w.
0
Let k be 1 + (-39)/(-4) + (-2)/(-8). Suppose 2*t - k = -1. Solve t*r = 3*l, 2*r = -2*l + r for l.
0
Let f be -6 - (-17)/((-34)/(-16)). Solve 0*l + f*n = -2*l, -n + 4 = -3*l for l.
-1
Let a = -48 - -53. Suppose t = 4*j - 14, 0*j = -a*j - 5*t + 5. Solve 8 = m + j*x, 2*m + 2*x + 0*x - 12 = 0 for m.
5
Let m = 114 - 114. Solve -3*o + 0*b = -4*b - 20, m = -4*o + 2*b + 20 for o.
4
Let z be (-10*-1*(-3)/(-6))/((-115)/(-46)). Let u be (-1 + (-9)/(-5))*5. Solve -n - 8 = -u*y - 3*n, -z*n = y - 8 for y.
0
Let t(q) = q + 17. Let b be t(-6). Suppose -4*m - b = -5*m. Suppose m = -5*u + 71. Solve -4*g + 5*g + 4*o = u, 6 = 3*o for g.
4
Let a = 69 - 64. Solve 0 = a*t - 2*j - 4, 2 + 2 = -t + 2*j for t.
2
Let a = -22 + 20. Let s be (-2)/4 + (-1)/a. Solve 0 = 3*z - 6, s*j - 3*j + 5 = -5*z for j.
5
Suppose -5*a + 40 = -5*l, -5*a + 0*a + 2*l = -49. Suppose 12*i = a*i + 2. Solve 14 = -i*d + 4*k, 17 + 4 = -5*d + 3*k for d.
-3
Let o be (8/(-12))/(2/(-9)) + 0. Solve 2*y + o*j + 19 = 6*j, 1 = 2*y + j for y.
-2
Suppose -4*x = -0*g + 2*g - 34, 2*x = -2*g + 20. Suppose 5*i - 74 = -3*z, -z = -i + z + x. Solve -3*j + s = 13, 7*s + i = -j + 3*s for j.
-5
Let z be (0/(-3) - -5)/((-1)/(-1)). Solve 18 = -0*r + r + 4*n, z*r + 5 = -n for r.
-2
Let u(f) = f**2 - 5*f - 1. Let o = 16 - 10. Let i be u(o). Suppose -1 = -3*d + i. Solve -3*v + 0*v - 3 = -3*j, -5*v + 16 = d*j for v.
2
Suppose 0 = d + 3*f, -2*f - 5 = -6*d + 5*d. Solve 3*t = -2*g + 11, d*t + g - 15 + 2 = 0 for t.
5
Let h be 20/(-8)*(-42)/(-15). Let l(r) = -r**3 + 5*r**2 - 6*r + 1. Let z be l(4). Let q = h - z. Solve q = 3*d + 2*d + 10, -d = -2*a - 4 for a.
-3
Suppose 2 = -c + 6. Let n(z) = -z + 2. Let m be n(2). Let q = m + 0. Solve 2*x = -5*j - 17, q = x - c - 0 for j.
-5
Let r be 8*3/6 + -4. Suppose -2*o = -r*o + 3*z - 33, -4*o + 61 = z. Solve -2*c - p + 5*p - 10 = 0, -3*c - o = -5*p for c.
-5
Suppose 234 = -10*u + 36*u. Solve -4*b + 7 = 2*f + u, -3*b = 2*f - 1 for b.
-3
Let w = 203 - 200. Solve -w*s = 4*o + 2*s - 35, 2*s + 14 = 4*o for o.
5
Let j = -56 + 59. Solve -m = r, 0 = j*r - 4*r - 5*m for r.
0
Suppose -23*x - 52 = -49*x. Solve x*o + 10 = n, 8*o + 8 = 6*o for n.
2
Let b be (2 - (-27)/(-2))/((-4)/8). Let q(v) = -v + 26. Let c be q(b). Solve 2*a - 4*j = 3 + c, 3*j = 3 for a.
5
Let i = -12 + 27. Let v = 25 - i. Suppose 11*k = v*k. Solve -2*f + 12 = -4*u, k = f + u + u - 2 for f.
4
Suppose 2*k = m - 4, -3*m + 11 = -m - k. Suppose 0*h + m = 2*h. Let a = 5 - 0. Solve 3*f - a = 4*g + h, 4*f = 5*g + 10 for f.
0
Let h = -1337 - -1341. Solve 0 = 3*a - h*j + 1, 4 = 3*j + 1 for a.
1
Let t be 122/4*(-8 + 6)*-1. Let w = -45 + t. Solve -4*u - 4*b = 0, -6*u + 3*u + w = -b for u.
4
Suppose 4*y + 0*y + 4*p - 296 = 0, -y = 5*p - 78. Suppose -y*r = -71*r - 10. Solve -k + 1 = o, r*k - 19 + 4 = 5*o for o.
-1
Suppose -4*t + m + 21 = 0, 0 = t - 2*t - 4*m - 16. Let s(q) = q**2 + q. Let o be s(1). Solve -18 + 6 = -4*v + o*r, -2*r = -t for v.
4
Suppose 53*w - 54*w + 2 = 0. Solve -3*s - z + 3 = 0, -w*z + 4 = 4*s + s for s.
2
Let m be (2*-2)/(4/(-18)). Suppose 3*v = 12 + m. Let t be 6/(-30) + 22/v. Solve -k = 1, 2*k - t - 2 = -2*l for l.
3
Let m = 666 - 661. Solve 5*h = -m*k - 20, k = 5*h - 2*k + 4 for h.
-2
Let s be (-1)/(-4)*0 + 54. Suppose -5*m - 34 = -s. Let o be 0/(m + (-3 - 0)). Solve -4*x - 4 + 2 = 5*n, o = 5*n - 2*x + 14 for n.
-2
Let m = -17 - -23. Let z be 6*(20/m + -3). Solve -4*g - z*u + 18 = 0, -4*u = -5*g + 3 - 0 for g.
3
Suppose 0 = -2*p - 3*v + 21, 2*p + 0*p = 2*v + 26. Let w be (-15)/p - (-75)/12. Solve 0 = -x - 3*t + t - w, 4*x - t + 11 = 0 for x.
-3
Suppose -2*q = -6*r + 4*r, r = 5. Suppose -l = -q*l - 64. Let s = l - -21. Solve 5*h = t - 3*t - 9, -4*t + 27 = -s*h for h.
-3
Suppose 3*r = 3 - 0, 5*p - r - 34 = 0. Suppose -12*b = -10*b - 4. Solve 2*q - 7*q - 7 = 4*h, q = b*h - p for q.
-3
Suppose -197*n + 180 = -177*n. Solve -5*p + 4*p + 8 = -3*i, -p = -4*i - n for i.
-1
Let r(i) = -i + 3. Let h be r(-4). Let w be (-30)/(-4)*(-12)/(-9)*(200 - 199). Solve -l - y + 5 - w = 0, l - h = 5*y for l.
-3
Let b = 4 - -1. Solve 2*l = 3*m + 7, b*l = m - 5*m + 29 for m.
1
Let j be (5/(-2))/(9/(-18)). Let q be 15/30*(j + 2/2). Solve 11 = q*y - 0*x + x, 2*y - x - 4 = 0 for y.
3
Suppose 1 = 3*v - 2*q, q + 9 = 5*v - 2. Suppose 0 + 25 = 5*m. Solve -4*i - 15 = m*z, 3*z + v*i + 7 = -5 for z.
1
Let h(g) = 22*g + 25. Let m be h(-1). Let n(j) = -j**3 + 2*j**2 + j - 2. Let f be n(2). Solve -x + 19 = -5*k, 3*k + 0*k + m*x - 3 = f for k.
-3
Let u = -22 - -34. Let d be (1/((-2)/u))/(-2). Suppose 2*f + 4*t - 8 = 18, -f + 3*t = 7. Solve 3*k = d*h + 21, k + f*h = -25 + 8 for k.
3
Let p(r) = r**3 - 5*r**2 - r + 7. Let z be (-15)/6*(0 + -2). Let c be p(z). Solve -c*q = 3 + 3, -2*v + 2*q = 2 for v.
-4
Let j = 1076 + -1061. Solve h - 6 = 2*g, 4*h - 7*g = -2*g + j for h.
0
Suppose 0 = -s - 5, 4*k - 27 - 303 = -2*s. Let v be (102/k)/(3/10). Suppose -4*r = -v, -4*p - 10 = r - 59. Solve -2*q = 2*d + p, d = -2*d - 4*q - 19 for d.
-5
Let o(m) = -m**3 + 7*m**2 + 16*m - 60. Let d be o(8). Solve 2*t = 4, 21*c - d*t = 17*c - 24 for c.
-4
Suppose 14 = 13*t - 12. Solve -3*g + 5*y - 13 = 0, y = 2*g - y + t for g.
4
Suppose -2*w = -w + b - 1, 0 = w - 2*b - 4. Let q(n) = n**3. Let m be q(0). Let i be (m/(-3)*1)/(-2). Solve 0 = -w*s - 2, -5*s + 20 = -5*u - i*s for u.
-5
Let y(u) = -2*u**2 - 24*u - 10. Let j be y(-10). Let w be (j/12)/(2/4). Solve q - 4*k + 14 - 1 = 0, -12 = -3*q - w*k for q.
-1
Let m be (7/(252/(-48)))/(4/(-15)). Solve 6 = -q + m*p, 4*p = -18*q + 13*q - 1 for q.
-1
Let t = 16 - 13. Suppose 0 - t = -h
|
{
"pile_set_name": "DM Mathematics"
}
|
2, 5
Suppose 1632 = -3*v + 30142 + 6392. What are the prime factors of v?
2, 3, 7, 277
Let n = 1566 + -2728. Let s = -718 - n. What are the prime factors of s?
2, 3, 37
Suppose 0 = -4*t + 20, -t + 2 = 2*y - 3*t. Let i be (y/(-5))/((-16)/40). List the prime factors of (290 - 3/(-1)) + i/(-1).
2, 5, 29
List the prime factors of ((-595)/(-25) - -3)*4/(88/35915).
67, 653
Suppose -2*d = -5*v + 19, -5*d - 25 = -2*v - 10*d. Suppose -i + 4673 = 5*b - 1454, v*i = 5*b - 6145. What are the prime factors of b?
2, 613
Suppose 33 = -2*z - 221. Let u = z - -338. List the prime factors of u.
211
Let x(y) = -222*y + 1494. List the prime factors of x(-21).
2, 3, 19
Let a = 99 + -103. Let s be (362/8)/(a/(-16)). Let u = -27 + s. List the prime factors of u.
2, 7, 11
Let m be 10/20 + (0 - (-11)/2). Suppose -2*z - 22 = -4*z - 2*t, 4*z - 32 = -t. List the prime factors of 1*131 + 0*(z - m).
131
Suppose -5*c = 134*l - 140*l + 52203, 0 = 5*l + 3*c - 43481. What are the prime factors of l?
2, 4349
Suppose -2*i - 4*h + 58 = 0, 3*h - 6*h = 3*i - 102. Let t = i + -38. What are the prime factors of (t/((-6)/4))/((-5)/765)?
2, 3, 17
Suppose -30*h + 11*h - 14*h + 10065 = 0. List the prime factors of h.
5, 61
Let s be 712/7 + (-10)/(-35) + -3. Let r = -32 + s. Suppose 3*l - 268 = -5*x, 0 = -5*x - l + r + 209. List the prime factors of x.
2, 7
Suppose -4 = 2*w, -4*j + 2*w + 282 = 5*w. Let m = 6 + j. List the prime factors of m.
2, 3, 13
Let b = -204 - -132. Suppose -5*t = -2*i - i - 13, 0 = 3*t + i - 5. Let f = t - b. List the prime factors of f.
2, 37
Let f(l) = -5688*l - 615. List the prime factors of f(-2).
3, 17, 211
Let l(i) = -i**3 + 2*i**2 + 29*i + 12. Let g be l(-8). Suppose g = -0*o + 2*o - 3*k, 0 = 3*k. What are the prime factors of o?
2, 3, 5, 7
Let l(c) = -c**3 + 16*c**2 - 15*c + 13. Let b = -8 - -23. Let n be l(b). Let f(m) = -m**3 + 14*m**2 - 8*m + 15. List the prime factors of f(n).
2, 5
Suppose i = -5*y + 25, -5*i + 13 = -4*y + y. Suppose -4*v = -i*o + 747, -2*o - 30*v + 282 = -26*v. What are the prime factors of o?
3, 7
Suppose 4*z - 75836 - 153536 = -9*z. List the prime factors of z.
2, 11, 401
Suppose -3*n - 2 = -4*i, -2*i - 12 = -7*i - n. Suppose -f - 89 = -o, -i*f + 118 = 4*o - 220. Let c = o - 37. List the prime factors of c.
7
Let j(t) = 2*t**3 + 5*t**2 - 5*t - 10. Let x be j(-4). Let s = 37 + x. List the prime factors of s/((-1)/1) + 99.
2, 5
Let v(t) = 6*t**2 - 18*t - 258. Suppose -2*i - 11*m = -6*m + 3, -3*i + 5*m = 42. List the prime factors of v(i).
2, 3, 5, 13
Suppose 3*w - 3*b - 400 = w, -958 = -5*w - 3*b. Suppose 3*r - s - w = -5*s, -s - 144 = -2*r. List the prime factors of r.
2, 5, 7
Let g(k) = 11*k + 7. Let n be g(4). Suppose 0 = -2*t - 15 + n. Suppose 2*i = 3*l + 258, 5*l + 2 = -t. What are the prime factors of i?
3, 41
Let y(f) = -22*f**3 + 3*f**2 + 7*f + 2. List the prime factors of y(-7).
2, 3823
Let t(y) be the first derivative of y**4/4 + 5*y**3 - 13*y**2/2 + 30*y - 51. List the prime factors of t(-14).
2, 3, 17
Suppose -48*p + 17*p = -17577. Let h = p - 95. List the prime factors of h.
2, 59
Suppose -1012 = 4*j - 4*t, -3*t + 5*t + 1018 = -4*j. Let y = j + 1148. List the prime factors of y.
2, 3, 149
Let k(s) = -3*s + 19. Let z be k(6). Let h be (3 - 5)*z + 75. Let m = h + -54. List the prime factors of m.
19
Let p = -15897 + 18326. List the prime factors of p.
7, 347
Suppose -3*w + 44877 = 5*q, 66*w - 26899 = -3*q + 71*w. What are the prime factors of q?
3, 997
Suppose 0 = 68570*h - 68560*h - 390590. List the prime factors of h.
139, 281
Let q(h) = -h**2 - 4*h + 5. Let c be q(-4). Suppose -3*k = -s + 244, 0 = -2*s + 2*k - c*k + 533. List the prime factors of s.
7, 37
Let v be (-1)/(-4)*-2*0. Suppose v*d - 32 = -4*d. Let c = 64 - d. List the prime factors of c.
2, 7
Suppose 3*y = -k + 86024, 2*k + 2725 + 111957 = 4*y. List the prime factors of y.
53, 541
Let l = -33 - -39. Let z be -1*2*l/4. What are the prime factors of (4 - (-2 + 20))*z?
2, 3, 7
Suppose -18*t - 30*t + 359535 = -15*t. List the prime factors of t.
5, 2179
Let v(t) = 75*t**3 - 2*t**2 + 45*t - 277. List the prime factors of v(5).
3, 11, 281
What are the prime factors of 4*((-43194)/8)/((93/2)/(-31))?
2, 23, 313
Suppose -370627 = -44*t + 12481. What are the prime factors of t?
8707
Let r(b) = b**2 + 30*b - 131. Let k be r(4). Suppose -4*n - n = -2935. Suppose n - 52 = k*t. What are the prime factors of t?
107
Suppose -12*f - 8 = -14*f. Suppose 2*i = i - f, -4*j + 2*i = 24. List the prime factors of (2*7)/(j/(-132)).
3, 7, 11
Suppose -11*c = -4*c + 35. List the prime factors of c/25*3*(-275)/5.
3, 11
Let h = 7 + -3. Let x(t) be the first derivative of t**4/4 - 6*t - 266. List the prime factors of x(h).
2, 29
Let m(l) = -l**2 - 7*l + 11. Let v(i) = 2*i - 1. Let k(g) = m(g) - 5*v(g). Let f = 8 + -20. List the prime factors of k(f).
2, 19
Let v be (-6)/(3/8*-2). Suppose -v*u = -u. Suppose u = -4*r - 3*r + 469. List the prime factors of r.
67
Suppose -1154*k = -1152*k - 3*x - 24830, 5*x = -40. What are the prime factors of k?
79, 157
Let j = 326 - -17. Suppose n - 4*z - j = 0, 6 = 5*z - 9. List the prime factors of n.
5, 71
Let b be (-11 + 17)*(3 - -162). Suppose 8*w + b = 11*w. List the prime factors of w.
2, 3, 5, 11
Suppose f + 110 = -f. Suppose -3*k + 12 = 0, -2*k + 1128 + 260 = -4*t. Let g = f - t. List the prime factors of g.
2, 5, 29
Suppose 5*g + 2*w - 933 = 0, 43*w - 40*w = 5*g - 913. What are the prime factors of (g/(-111))/((-3)/2547)?
5, 283
Suppose 4*k = -3*k + 1015. Suppose 0 = -3*m - 4*p + k + 52, p = m - 75. List the prime factors of m.
71
Let o(c) = c**3 + 8*c**2 + 17*c + 69. Let j be o(-7). What are the prime factors of 8 - 16 - (-1760 + j)?
1753
What are the prime factors of ((-1282)/32*-12)/((-8 + 2)/(-744))?
3, 31, 641
Suppose -y = 5*x - 100, x + y - 16 = -0*y. Suppose -2 = -x*q + 20*q. Suppose -5*j + 3*h = -252, q = -2*h + 4*h. List the prime factors of j.
3, 17
Suppose d - 3*d - 3*x = -367, d - 173 = 2*x. Let r = d - 11. List the prime factors of r.
2, 3, 7
Let v(f) = -f**3 - 20*f**2 - 15*f + 89. List the prime factors of v(-33).
14741
List the prime factors of 241 + (-846)/216 + 2/(-24).
3, 79
Let q(w) = -w**3 + 19*w**2 + w - 49. Let h be q(12). Suppose 15 = -5*k, 0 = 6*g - 10*g + k + h. List the prime factors of g.
2, 11
Suppose -2*v - 39*f + 9438 = -38*f, f = 5*v - 23602. List the prime factors of v.
2, 5, 59
Let z = 3977 - -37413. List the prime factors of z.
2, 5, 4139
Let n(z) = -z**3 + 26*z**2 + 29*z - 67. Suppose 6 = -2*i, -2*s - s + 81 = -2*i. What are the prime factors of n(s)?
1283
Suppose 38*p - 37*p + 2*y - 30224 = 0, -30224 = -p + 5*y. List the prime factors of p.
2, 1889
Let n = -15310 + 27558. What are the prime factors of n?
2, 1531
Let f(d) = -2*d + 25. Let o be f(13). Let c(b) = -117*b**3 + 3*b**2 + 5*b + 3. Let k be c(o). Suppose k = -26*j + 28*j. List the prime factors of j.
59
Suppose -5*u + 5*v - 15 = 0, -3*u - 6*v = -11*v + 9. Let s be u*(1 - (-12)/(-9)) - -42. Suppose -48*b + 515 = -s*b. What are the prime factors of b?
103
Let m = 194 + 202. Let t = m - -48. List the prime factors of t.
2, 3, 37
Suppose -5*x - 3*d - 15 + 51 = 0, -4*x = -d - 22. Let j be 172 - (-5 - -6)/(2/x). Let g = j - 27. What are the prime factors of g?
2, 71
Let w be (-6)/9 - 85/(-15). Suppose -3*g = w*g - 16. Suppose 0*n = -n - 2*i + 28, -4 = -g*i. List the prime factors of n.
2, 3
Suppose 8*r - 17*r = 0. Suppose r = -i - 3*i + 12. Suppose -i*x = -9, 2*x - 1052 = -5*t - 236. List the prime factors of t.
2, 3
Let l be 8/(-2) + (0 - -10). Suppose 2 - l = -y. Suppose y*n = 3*n + 79. What are the prime factors of n?
79
Let n = -348 + 350. Let m = 278 + -71. Suppose -4*x = j - 0*j - m, -4*x + 202 = n*j. What are the prime factors of x?
53
Let v = -66 - -36. Suppose -10*u + 199 = 899. Let s = v - u. List the prime factors of s.
2, 5
Suppose 55710 = 2*k - 4*m, -k + 31*m + 27852 = 28*m. List the prime factors of k.
3, 37, 251
Let u = 11926 + -7050. What are the prime factors of u?
2, 23, 53
Suppose -2*r = -10, 0*t = -t - 5*r + 26. Let n = t - 49. Let g = 102 + n. List the prime factors of g.
2, 3
Let m be (-60)/(-18)*2/(12/2151). Suppose -4*t = -3*t - m. What are the prime factors of t?
5, 239
Let p = 9026 - 8210. Let g = 1 - -1. Suppose 4*o - 5*d = p, o = -g
|
{
"pile_set_name": "DM Mathematics"
}
|
x.
-10*x - 10131
Collect the terms in 0*f**3 + 9 + 5 - 3*f**3 + 9*f**3 - 3 - 11.
6*f**3
Collect the terms in -3*p**2 - 2*p + 243202172*p**3 - 243202165*p**3 + 3*p**2 + 3*p - p.
7*p**3
Collect the terms in -5*b - 5908 - 5088 + 16080 + 3*b - 5084.
-2*b
Collect the terms in -64*f**3 + 16724 - 16724 + 665*f**3.
601*f**3
Collect the terms in 7088*i + 10*i**2 - 2052 + 2923*i + 2051.
10*i**2 + 10011*i - 1
Collect the terms in 57922*y**2 + 32 + 19*y**3 - 91 + 59 - 57922*y**2.
19*y**3
Collect the terms in -92 - 89 + 122*i**2 - 127*i**2 - 94 + 279.
-5*i**2 + 4
Collect the terms in -8293*d**3 - 4 + 0 + 4 + 16611*d**3 - 8177*d**3.
141*d**3
Collect the terms in 222101*c - 604936*c + 2269460*c + 1281393*c.
3168018*c
Collect the terms in 16 + 826916*m**2 - 16 - 273244*m**2.
553672*m**2
Collect the terms in 224331*x**2 - 41875*x**2 + 157281*x**2.
339737*x**2
Collect the terms in 8 + 304266528*f - 304266528*f - 3*f**2.
-3*f**2 + 8
Collect the terms in -305592*n - 305573*n - 305576*n + 916743*n.
2*n
Collect the terms in -255*s**3 - 1 + 26*s**2 - 1125*s - 26*s**2 + 2313*s - 1188*s.
-255*s**3 - 1
Collect the terms in -341*g - 1006*g + 210*g - 1662*g - 1771*g.
-4570*g
Collect the terms in -2192*h - 1711*h - 1 + 761*h + 79*h.
-3063*h - 1
Collect the terms in -49*k**2 - 338*k**2 - 253*k - 263*k + 516*k.
-387*k**2
Collect the terms in 27*h**2 + h**2 - 24*h**2 - 3646*h.
4*h**2 - 3646*h
Collect the terms in 289*z + 2159 + 2782 - 4941.
289*z
Collect the terms in -78379131 + 11*x**2 + 78379131.
11*x**2
Collect the terms in 1557*l**3 + 2907*l - 734*l**3 - 2907*l - 690*l**3.
133*l**3
Collect the terms in 5908 + 2*d**3 - 12952 - 3*d**3 + 7044.
-d**3
Collect the terms in 1145*x - 4649*x + 1147*x + 1208*x + 1160*x.
11*x
Collect the terms in 1872*l**3 - 264*l**3 - 9*l**2 - 382*l**3 + 3031*l**3.
4257*l**3 - 9*l**2
Collect the terms in -171*k + 147*k + 146*k + 145*k - 265*k.
2*k
Collect the terms in -o**2 - 5405*o + 4436*o + 951*o.
-o**2 - 18*o
Collect the terms in 152*b + 951*b + 1100*b + 862*b - 101*b.
2964*b
Collect the terms in -3 - 54707*y - 10 + 1154709*y + 13.
1100002*y
Collect the terms in -2355071388 - 2355071359 - 5*m**3 + 4710142747.
-5*m**3
Collect the terms in 9*v - 2434*v**3 - 7*v - 9 + 6.
-2434*v**3 + 2*v - 3
Collect the terms in 87*o**2 + 98*o**2 + 100*o**2 - 396*o**2 + 98*o**2 + 16.
-13*o**2 + 16
Collect the terms in -316584649 + 17*f**2 + 316584649.
17*f**2
Collect the terms in 231 + o - 101 - 4*o + 2*o + 2*o**2 - 130 + 45*o.
2*o**2 + 44*o
Collect the terms in -356*t - 27*t + 63 + 3*t**3 + 384*t.
3*t**3 + t + 63
Collect the terms in -545 - 1099*f**3 + 498*f**3 + 598*f**3.
-3*f**3 - 545
Collect the terms in -134413*b + 6898685 - 6898685 + 134393*b.
-20*b
Collect the terms in 60266 + 6*c**2 + 21*c - 14*c**2 - 60257.
-8*c**2 + 21*c + 9
Collect the terms in 11571 + 8207 - 5*i**3 + 41*i**2 + 7*i**3 - 39*i**2.
2*i**3 + 2*i**2 + 19778
Collect the terms in -227895 + 796072*b + 227895 - 397970*b - 398101*b.
b
Collect the terms in -75*j - 40*j + 17 + 284*j - 92*j - 78*j.
-j + 17
Collect the terms in 10 - 34040*q + 34048*q - 10.
8*q
Collect the terms in 159498 + 155014 - 12*r - 314512.
-12*r
Collect the terms in 340*s + 10 + 20*s - 9 - 1.
360*s
Collect the terms in -4720*b**3 + 23612*b**3 - 4730*b**3 - 4718*b**3 - 4718*b**3 - 4715*b**3.
11*b**3
Collect the terms in -34*h - 690*h + 379*h + 369*h.
24*h
Collect the terms in -48*t**3 - 15 + 15 + 187*t**3 - 66*t**3 - 67*t**3.
6*t**3
Collect the terms in -23435*n**2 + 2*n - 2*n - 23439*n**2 + 70298*n**2 - 23434*n**2.
-10*n**2
Collect the terms in 19 - 89 + 35268*g + 35273*g - 18 - 70545*g.
-4*g - 88
Collect the terms in 687*a + 543*a + 538*a + 537*a + 532*a - 2835*a.
2*a
Collect the terms in 2*y**2 - 31641 - 31699 + 63368.
2*y**2 + 28
Collect the terms in 98 + 111 - 49*z + 38*z + 111 - 98*z - 321.
-109*z - 1
Collect the terms in -34505*z**3 - 33784*z**3 + 68303*z**3.
14*z**3
Collect the terms in 429159 - 87*g**2 - 429159.
-87*g**2
Collect the terms in -9*x**3 + 12715*x**2 + 9*x - 6375*x**2 - 6340*x**2.
-9*x**3 + 9*x
Collect the terms in 584 + 570 + 21*r**2 - 2282 + 564 + 564.
21*r**2
Collect the terms in 1175 + 14*k - 438 - 737.
14*k
Collect the terms in 32*c**2 + 39*c**2 - 75*c**2 + 19*c**2 + 12*c**2 + c**3.
c**3 + 27*c**2
Collect the terms in 295433*u**2 - 590866*u**2 + 295451*u**2.
18*u**2
Collect the terms in 3*c**2 - 142*c + 661*c - 177*c - 72*c.
3*c**2 + 270*c
Collect the terms in 32835 - 335*k**3 - 32835.
-335*k**3
Collect the terms in -51801*z**2 - 51796*z**2 + 310766*z**2 - 51793*z**2 - 51792*z**2 - 51793*z**2 - 51792*z**2.
-z**2
Collect the terms in -1455*r + 5265*r + 599*r + 2402*r + 1680*r.
8491*r
Collect the terms in -18*b + 42 - 13*b - 42 - 140*b.
-171*b
Collect the terms in -160*d**2 + 174*d**2 + 168*d**2 - 343*d**2 + 175*d**2.
14*d**2
Collect the terms in 9704*m**2 + 9726*m**2 + 9707*m**2 - 58271*m**2 + 9707*m**2 + 9716*m**2 + 9710*m**2.
-m**2
Collect the terms in 176*a - 3826255811 + 3826255811.
176*a
Collect the terms in -30*j**2 - 3*j**2 + 74 - 9*j - 74 + 2*j**2.
-31*j**2 - 9*j
Collect the terms in -763839 + 511907 - 2212016 + o.
o - 2463948
Collect the terms in 4795*m - 4793*m - 21 + 145 + 91.
2*m + 215
Collect the terms in 22 + 120*q**2 + 17 + 26 - 65 - 5*q.
120*q**2 - 5*q
Collect the terms in 63 - 17 + 17 + 4*g + 54 + 33.
4*g + 150
Collect the terms in 5*x**2 + 26 - 45*x**3 - 130*x**3 - 5*x**2 + 11*x.
-175*x**3 + 11*x + 26
Collect the terms in -126*g**2 - 33*g**2 - 8*g**3 + 176*g**2.
-8*g**3 + 17*g**2
Collect the terms in 129*w**2 - 6 + 6 - 53*w**2 - 116*w - 82*w**2.
-6*w**2 - 116*w
Collect the terms in -547125 - 22*v**2 + 547125.
-22*v**2
Collect the terms in 23703 - 11814 + 167*q**3 - 11889.
167*q**3
Collect the terms in 299295219*u + 1 - 149647624*u - 1 - 149647620*u.
-25*u
Collect the terms in -3062380 + 1530236 + 1532144 - 7*s.
-7*s
Collect the terms in 98*g + 59*g - 148*g + 110 - 207 + 117.
9*g + 20
Collect the terms in -102308*i**2 + 204632*i**2 - 17*i**3 - 102324*i**2 - 25*i**3.
-42*i**3
Collect the terms in -103*c**2 + 3098*c**2 - 2537*c**2.
458*c**2
Collect the terms in 642*i**3 + 1711*i**3 - 1662*i**2 + 3317*i**2 - 1655*i**2.
2353*i**3
Collect the terms in -2 - 2*y**2 - 3*y**2 + 2 - 520270*y.
-5*y**2 - 520270*y
Collect the terms in -283*t**2 - 18*t**2 - 638*t**2 - 2*t - 139*t**2 - 51*t**2 + 356*t**2.
-773*t**2 - 2*t
Collect the terms in k + 1738965036328028 - 1738965036328028.
k
Collect the terms in 0*l + 36*l**3 + 0*l + 56668*l**2 - 48*l**3 - 56665*l**2.
-12*l**3 + 3*l**2
Collect the terms in 14639*b**3 - 2751*b**3 + 32203*b**3.
44091*b**3
Collect the terms in 243*a**2 - 35*a**2 + 476*a**2 - 272*a**2 + 461*a**2.
873*a**2
Collect the terms in -318*k - 969*k - 364*k - 733*k - 977*k.
-3361*k
Collect the terms in 2502916734*a**2 - 1251458405*a**2 - 1251458331*a**2.
-2*a**2
Collect the terms in 2*p**3 + 0 + 6549*p**2 - 6*p**3 + 68*p - 33*p + 1 - 40*p.
-4*p**3 + 6549*p**2 - 5*p + 1
Collect the terms in -38009*h + 9 + 38961*h - 9.
952*h
Collect the terms in 4*k**3 + 0*k**3 - 60890*k + 60889*k - 2*k**3.
2*k**3 - k
Collect the terms in 31798*h + 67283*h - 31051*h + 238521*h.
306551*h
Collect the terms in k + k - 2*k + 143887756363*k**2 - 143887756182*k**2.
181*k**2
Collect the terms in 1501*r**2 - r + r - 30357270*r**3 + 30357269*r**3.
-r**3 + 1501*r**2
Collect the terms in 2*p**2 + 5*p**2 + 30253 - 57946 + 27693.
7*p**2
Collect the terms in -m + 25978557733 - 25978557733.
-m
Collect the terms in 43*c**2 - 129 - 263*c**2 - 137 + 518 - 134 - 119.
-220*c**2 - 1
Collect the terms in 3 + 27*r - 5 + 0 - 33*r + 1 + 7814*r**2.
7814*r**2 - 6*r - 1
Collect the terms in 3*g - 3*g - 114113134*g**3 + 114113112*g**3.
-22*g**3
Collect the terms in -5720*r**3 + 9*r + 4382*r**3 - 3*r - 6*r.
-1338*r**3
Collect the terms in -4*z - 7323 - 6*z + 9*z + 7380.
-z + 57
Collect the terms in -1652*l**3 - 2407*l**3 - 2809*l**3.
-6868*l**3
Collect the terms in 9*d - 54*d**3 - 41*d**3 + 196*d**3 - 50*d**3 - 45*d**3 - 13 + 3*d.
6*d**3 + 12*d - 13
Collect the terms in -2*l + 4 + 41 - 8 - 6*l.
-8*l + 37
Collect the terms in -44334*p**2 + 83715*p**2 - 39448*p**2.
-67*p**2
Collect the terms in -8997 - 2*j + 1937 - 4984.
-2*j - 12044
Collect the terms in 23743*b**3 - 79920*b**3 - 128360*b**3 - 86954*b**3.
-271491*b**3
Collect the te
|
{
"pile_set_name": "DM Mathematics"
}
|
nd give j.
8
Express (4 - 4 - k)*(-2 - 1 + 1)*(2 - 18 - 7) in the form z*k + y and give z.
-46
Express c**2 - 6*c**3 + 13*c**3 + 22*c**3 as g*c**2 + t*c**3 + p*c + h and give p.
0
Rearrange -71 - 2*r**3 + 3*r**3 - 2*r + 69 to the form f*r**3 + o + g*r + k*r**2 and give o.
-2
Express -p - 7 + 11 + p + p**3 + p in the form d + b*p**2 + o*p**3 + s*p and give o.
1
Rearrange g**4 - 146*g**3 + 2 + 143*g**3 + 0*g**4 to k*g**4 + a*g**2 + m + t*g**3 + p*g and give k.
1
Express -r**2 - 25*r**2 + 6 - 6 in the form k*r**2 + b*r + l and give k.
-26
Express v + 6*v**4 + 2 - 6 + 0 in the form k*v**2 + b + n*v + a*v**3 + x*v**4 and give x.
6
Rearrange (9*o - 2*o - o)*(7*o + 2*o**2 - 10*o + 0*o**2 + 1)*(-4 + 2 + 0) to b*o**2 + m + v*o + d*o**3 and give b.
36
Express (a**3 + a - a)*(-9 + 9 - a)*(0 - 3 + 5) in the form s*a**2 + m*a**4 + j*a**3 + k + x*a and give m.
-2
Rearrange -4*m**2 + 3*m**2 + 0*m**2 + (m + 3*m + 10*m)*(3*m - m - m) to the form p*m + v*m**2 + t and give v.
13
Express 3*g - 3*g + g + g + 3*g**3 as x*g**3 + v*g + u + f*g**2 and give x.
3
Rearrange (12*d**2 - 14*d**2 + 6*d**2 + (d - 3*d + 0*d)*(-d - 2*d + d))*(8 - d + 3*d + 2) to t*d**2 + q*d + w + r*d**3 and give t.
80
Rearrange -2*s - 27*s - 4*s to c*s + u and give c.
-33
Rearrange 1 - 6 + 20*x - x**3 - 17*x - 10*x to h + k*x + u*x**3 + l*x**2 and give u.
-1
Express 3*y - 5*y - 13*y**2 + 5*y**2 + y in the form t*y + q*y**2 + s and give q.
-8
Rearrange h**2 - 2*h**2 - h**2 + (1 - 1 + 1)*(-8*h**2 - 5 + 5) - h**2 + h - h to the form y*h + f + m*h**2 and give m.
-11
Express -b + 0*b**3 + 2*b + 3 - 2*b**3 in the form t*b**3 + j*b**2 + z*b + s and give s.
3
Express o**2 - o**3 - o**2 + (7*o**2 - 3*o**2 - 2*o**2)*(14*o + 59*o + 23*o) as c*o**3 + v*o + b + l*o**2 and give c.
191
Rearrange (2*q - 4 + 4 + (1 - 2 - 2)*(2*q + 0*q - q))*(3 - 1 - 4) to h*q + v and give h.
2
Rearrange (-8 - 3 - 4)*(4 - 4 + w) to o + f*w and give f.
-15
Express -3*w**3 + 8*w + 2*w**3 + 63*w**2 - 61*w**2 as l*w**3 + v*w + i*w**2 + b and give l.
-1
Rearrange -f + 0*f + 3*f + 3*f to the form d*f + w and give w.
0
Rearrange (2 + h - 2*h + 1)*(-5*h**3 + 7*h - 7*h) to the form u*h + k*h**2 + x*h**4 + g*h**3 + n and give g.
-15
Express 14*l - 111 + 111 as g*l + w and give g.
14
Rearrange -3*u + 263 - 536 + 12*u**4 + 271 to the form g*u**4 + t*u + o*u**3 + z + x*u**2 and give z.
-2
Rearrange 13 + 2*c**3 + 16 - 2 to b + q*c**3 + m*c**2 + g*c and give q.
2
Rearrange -9 - 33*y**2 + 9 to f*y**2 + r + s*y and give f.
-33
Rearrange 2*h**2 - h - 2*h**4 + 5 - 2*h**3 - 3*h**2 + 4*h**2 to the form g*h + j*h**3 + d*h**2 + k*h**4 + z and give g.
-1
Rearrange 10*b**2 - 4*b**2 + 4 + 3*b + 1 - 4 to the form n + q*b + k*b**2 and give n.
1
Rearrange -26 + 20*t - 9*t - 8*t to the form u + s*t and give u.
-26
Rearrange 3*y + 93 - 93 to p*y + s and give p.
3
Rearrange (0 + 4 - 2)*(-37*c + 2*c**2 - 45*c + 76*c) to d*c**2 + x + w*c and give w.
-12
Express o**4 + 6*o**2 - 4*o**2 + 2*o**3 - o**2 + 3*o**4 as u + y*o + x*o**3 + j*o**4 + z*o**2 and give z.
1
Rearrange (-2 + 5 - 5)*(1 + 5 - 4)*(2*o**2 - 2*o + 2*o) to h + r*o + y*o**2 and give y.
-8
Rearrange 5*g - 17*g + 46*g to i + u*g and give u.
34
Express (-5*n - n + 2*n)*(-3 - 2 + 1)*(-2 - 6*n**2 + 2) in the form g + h*n**3 + k*n + a*n**2 and give h.
-96
Rearrange -119*w**2 + 47*w**2 + 50*w**2 - 1 to h*w + a*w**2 + b and give a.
-22
Express (-4 + 1 - 2)*(-2 - 5 + 5)*(3*b**2 + b**2 - b**2) as y*b + w + c*b**2 and give c.
30
Rearrange (-g + 3*g - 3*g)*(g**2 - g**2 + g**2)*(-68 - g + 68) to the form a*g + m + i*g**3 + w*g**2 + q*g**4 and give q.
1
Rearrange -1 - 2 - 3*t**2 + 5 to the form g + o*t**2 + s*t and give g.
2
Rearrange ((1 + 1 - 3)*(-1 - 2*y + 1) + y - 3*y + 3*y)*(-4 - 1 - 2) to l + v*y and give v.
-21
Express (z - 3*z + 3*z)*(1 + 2 - 2 + 6*z) as i*z**2 + t*z + l and give t.
1
Express -r**2 + 2*r**2 - 3*r**2 + (4 - 2*r - 4)*(-83 + 6*r + 83) + 3*r**2 - 4*r**2 + 0*r**2 as h*r**2 + f*r + d and give h.
-15
Rearrange -12*p**2 + 10*p**2 + 3*p**3 - 4 + 4 to k + q*p**2 + x*p**3 + j*p and give q.
-2
Express -15*t**3 - 2 + 5 + 17*t**3 + 0 + 15*t as v*t**3 + z + c*t**2 + x*t and give x.
15
Rearrange -1 + c**2 + 2 - 2*c**3 + 2 - 4 to j*c**2 + p + l*c**3 + b*c and give l.
-2
Rearrange 1 + 71*q + 1 - 6*q**2 - 71*q to the form o*q + y*q**2 + b and give b.
2
Rearrange 16*b**2 + 26*b**2 + 0*b**2 to the form u*b + q*b**2 + o and give q.
42
Express (-6*h + 4*h + 3*h)*(-2*h**2 - 9*h**2 + 3*h**2 + (-3 + 3 - h)*(h - 2 + 2)) in the form o*h + r*h**3 + k + i*h**2 and give r.
-9
Express -p**3 - 2*p**2 + p**2 + 0*p**2 - 9*p**2 as j*p**2 + r + u*p**3 + f*p and give r.
0
Express k**2 + 10*k - 7*k + 26*k + 0*k**2 in the form b*k**2 + y*k + j and give y.
29
Rearrange -6*o**2 - 23 + 12 + 7*o**2 to the form n*o + l*o**2 + u and give n.
0
Rearrange (-3 + 3 - 1)*(-4 + 5 + 0)*(41*x - 21 + 14 + 8) to the form o + d*x and give d.
-41
Express 3*l**4 + 3 - l - 3*l**4 - 2*l**4 as m*l**3 + s*l + y*l**4 + d + o*l**2 and give s.
-1
Express (3*y + y - 2*y)*(2*y - 3 + 3)*(-y + 2*y - 2*y + (6 - 2 - 2)*(-2*y - 5 + 5) - 32 - 6*y + 32) as c + l*y**3 + o*y**2 + k*y and give l.
-44
Rearrange -5 + 31 - 2*o - 3 to s*o + d and give d.
23
Rearrange -27*o + 24*o - 15*o - 29*o to the form y*o + d and give y.
-47
Express (3*s - 2*s - 3*s)*(-145*s**2 + 74*s**2 + 11 + s + 70*s**2) as u*s**2 + j + w*s**3 + p*s and give p.
-22
Express (-1 + 3 - 4 + 3 - 2 - 4 + (-2 + 4 - 4)*(-1 + 1 - 2))*(-14 + 14 + 8*v) as j*v + t and give j.
-8
Express -5*i**2 - 3*i**2 + 2*i**3 - 29 + 17 + 10 in the form f + y*i**2 + w*i + l*i**3 and give y.
-8
Express -2*p - 24 - 2*p**3 - p**3 - 5*p**4 + 26 + 2*p**3 as q*p**4 + t*p**2 + d*p**3 + c + i*p and give q.
-5
Express 9*q**2 + 30*q - 17*q - 14*q in the form m*q + t*q**2 + j and give t.
9
Rearrange 72*i + 65*i - 33*i + 47*i to the form z + v*i and give v.
151
Express m - 1 - m**3 + 8*m**2 - 8*m**2 + 0*m + m**4 in the form q + j*m + v*m**3 + l*m**2 + n*m**4 and give v.
-1
Express 2*h**3 + 3*h**3 - h**3 + (19*h - 19*h + 3*h**3)*(4 - 3 + 0) as n*h + v*h**2 + g*h**3 + k and give g.
7
Express 0*g**2 - 8 - 7 + 2*g**4 + 2 + 2*g**2 as b*g + t*g**3 + j*g**4 + s + o*g**2 and give s.
-13
Express (-h**2 + 4*h**2 - 1 - 4*h**2)*(-3 - 2 - 14) as o + q*h**2 + r*h and give q.
19
Express 2*p + p - p as m + j*p and give j.
2
Rearrange 1 + 105*u**3 - 51*u**3 + u**2 - 55*u**3 to the form r + t*u + h*u**3 + n*u**2 and give r.
1
Rearrange (9*i - 6*i**2 + 2 - 11*i + 5*i**2)*(0*i**2 - 3*i**2 + 5*i**2)*(2 - 2 + 2) to w*i + p*i**3 + c + v*i**4 + j*i**2 and give v.
-4
Rearrange (18 + 4*x - 18)*(-3 - 2 + 4 + (-4 + 5 - 2)*(-1 - 2 + 1)) to a + s*x and give s.
4
Rearrange (0*l**2 - l**2 + 4*l**2 + (1 - l - 1)*(-l + 2*l - 3*l) - 2*l - l**2 + 2*l + 2)*(4*l - 3*l - 3*l) to i*l**2 + o + r*l**3 + w*l and give o.
0
Express (7 - 7 - 3*r**2)*(-r + 4*r + r)*(4 - 7 + 4) in the form u*r + a*r**3 + v + p*r**2 and give a.
-12
Rearrange 8*t**3 + 1 - 4*t**3 - 2*t**3 + 2*t to the form m + v*t**2 + a*t**3 + p*t and give p.
2
Rearrange -5*j**2 - 1 - 52*j**2 + 1 to r + a*j**2 + u*j and give a.
-57
Express -12 + 167*q**2 - 169*q**2 + 3 in the form t*q + n*q**2 + s and give n.
-2
Rearrange (10 + 5 - 20)*(u**4 + 3*u - 3*u) + 5*u**4 - 3*u**4 + 0*u**4 to the form h*u**3 + j + l*u + t*u**2 + q*u**4 and give q.
-3
Rearrange -y**3 + 87*y**2 - 87*y**2 + y to t*y**3 + k*y**2 + h*y + n and give t.
-1
Rearrange -2*s**3 + 2*s**4 + s**4 - 4*s**4 + (3*s**2 - 4*s**2 + 2*s**2)*(4*s**2 - s**2 + 2*s**2) to the form c*s**3 + i + u*s**4 + m*s**2 + h*s and give m.
0
Express (3 - 3 - o)*(9 - 4 + 1) in the form k + i*o and give i.
-6
Express (3*m + 5*m**2 - 3*m)*(4 + 0 - 2) + (-2 + 2 + m)*(-4*m - 2*m - m) in the form o*m + n*m**2 + s and give n.
3
Rearrange 0*k + 4*k - 2*k + (-4 + 2 + 1)*(2*k + 2*k - 3*k) + (-21 + 9 + 9)*(-2*k - 2*k + 6*k) to the form v*k + h and give v.
-5
Express -56 + 56 - 18*j in the form z*j + l and give z.
-18
Rearrange (-168 + 167 + 11*d - 12*d)*((1 + 2 - 4)*(1 - 4 + 4) + 6 - 3 - 4) to m + c*d and give m.
2
Express -8 + 23 - 29*q - 15 as f + o*q and give o.
-29
Rearrange -2*d**3 + d**2 - d**2 + (0*d - 3*d + d)*(30*d**2 - 22*d**2 + 11*d**2) to the form s + z*d**3 + c*d**2 + v*d and give z.
-40
Rearrange (0*x**2 + 3*x**2 - x**2)*(2 + 1 + 17*x - 13*x) to the form t*x + h*x**2 + q*x*
|
{
"pile_set_name": "DM Mathematics"
}
|
5*a**3/6 - 571*a**2. Determine -5*j(x) + 12*u(x).
15*x**2
Let w(g) = -169*g**2 - 104*g + 13. Let r(c) = -39*c**2 - 26*c + 3. What is 18*r(m) - 4*w(m)?
-26*m**2 - 52*m + 2
Let w(p) = 6*p**2 + 3*p + 3. Let t = 0 + -3. Let h(r) = -6*r + 14. Let v = -95 + 98. Let j be h(v). Let q(z) = -5*z**2 - 2*z - 3. Determine j*q(d) + t*w(d).
2*d**2 - d + 3
Let u(y) = 1. Let b(s) = -6*s. Let q(j) = j + 1. Let m(n) = 4*b(n) + 28*q(n). Suppose -64*r + 47 + 57 = -24. Determine r*m(v) - 56*u(v).
8*v
Let h(n) = -8*n - 12218. Let a(q) = 3*q + 6123. What is -5*a(b) - 2*h(b)?
b - 6179
Let s be 0 + 0/(-1) + (-3)/(-1). Suppose 22 = 4*t + 4*j - s*j, 3*j = 3*t - 24. Let m(b) = -12*b + 7*b + t*b. Let d(x) = 2. Give -d(q) + m(q).
q - 2
Let x(l) = 8*l + 1. Let r(a) = 23*a + 3. Let f be 8 + (25*1)/(-28 + 27). Determine f*x(w) + 6*r(w).
2*w + 1
Let u(j) = -298 + 899 - 305 + 2*j - 298. Let y(g) = 3*g - 3. What is -4*u(z) + 3*y(z)?
z - 1
Let o(p) = p**2 - 36*p + 7. Let m(j) = -j**2 + 45*j - 9. Let r(i) = -4*m(i) - 5*o(i). Suppose -2*y - 3*y = 5. Let t(q) = q**2 - q - 4. What is y*t(c) - 2*r(c)?
c**2 + c + 2
Suppose 47*d - 52*d - 22 = -2*i, -4*d = 16. Let f(r) = -6*r**3 + 5*r**2 + 5*r + 9. Let x(n) = -n**2 - n - 1. Give i*f(z) + 5*x(z).
-6*z**3 + 4
Let v(z) = -41*z**2 - 97*z + 7. Let c(k) = 41*k**2 + 86*k - 9. Calculate -9*c(t) - 8*v(t).
-41*t**2 + 2*t + 25
Let q(z) = 2*z**2 + 30. Let a(w) be the third derivative of -w**5/60 - 5*w**3/2 - 2*w**2 + 131. What is -5*a(d) - 2*q(d)?
d**2 + 15
Let q(a) = -17*a**3 - 11*a**2 + 7*a. Suppose 58*n = 154*n + 111*n - 828. Let x(s) = -9*s**3 - 6*s**2 + 4*s. Determine n*q(m) - 7*x(m).
-5*m**3 - 2*m**2
Let q(m) = 433*m + 36. Let k(z) = 1301*z + 125. What is 2*k(s) - 7*q(s)?
-429*s - 2
Suppose 2*s - 68 = -5*f + 6*s, 0 = -f - 3*s + 6. Suppose 0 = 26*r - 17 - 87. Let j(b) = -b**3 + 3. Let g(v) = v**3 - 1. Determine f*g(m) + r*j(m).
8*m**3
Let g(f) = -3*f**2 - 23. Let p(x) = 2*x**2 + 24. Suppose 2*d + 7 = h, 3*d + 4*h + 174 = 158. Give d*p(o) - 3*g(o).
o**2 - 27
Let y(m) = 36*m**3 + 4*m**2 + 4*m - 13. Let r(l) = -l**3 + 2*l**2 + 2*l - 3. What is -2*r(v) + y(v)?
38*v**3 - 7
Let a(p) = 2*p**3 + p**2 + 4*p + 3. Let c(w) be the second derivative of 3/10*w**5 - 3 + 9/2*w**2 + 11/6*w**3 + 1/6*w**4 + 9*w. Determine -11*a(b) + 4*c(b).
2*b**3 - 3*b**2 + 3
Let w(g) = 14*g**2 - 35*g. Let r(a) = 16*a**2 - 48*a. What is -3*r(t) + 4*w(t)?
8*t**2 + 4*t
Let h(i) = -i**2 + 3*i**2 - i**2. Suppose 0 = b + n - 3*n - 2, 10 = 5*n. Let q(o) = -8*o**2 + 2*o + 2. Let g be (-2)/2*(-1)/4*4. Give b*h(s) + g*q(s).
-2*s**2 + 2*s + 2
Let s(f) = -7*f**3 - 6*f**2 - 6. Let d(t) = 4*t**3 - 5*t**3 - t**2 + 0*t**3 - 162201 + 2*t**3 + 162200. Calculate 6*d(p) - s(p).
13*p**3
Let z(d) be the first derivative of d**3 + 2*d**2 + 5*d - 54. Let n(w) = 17 + 26 - w - 70 - w**2 + 26. Give 5*n(p) + z(p).
-2*p**2 - p
Let t = 12818 + -12821. Let n(c) = 4*c**3 + 2*c**2 - 4*c + 1. Let q(p) = -3*p**2 + 5*p - 2 + 0*p**3 - 5*p**3 + 0. Determine t*n(u) - 2*q(u).
-2*u**3 + 2*u + 1
Suppose 0 = 4*q + j + 24, -5*q - 3*j = -2785 + 2829. Let d(t) = -910*t**2 - 105*t + 105. Let z(v) = 35*v**2 + 4*v - 4. Give q*d(h) - 105*z(h).
-35*h**2
Let i = -18 + 34. Let h(z) = 6*z**2 - 16*z + 16. Let g(x) = -x**2 - x + 1. Let k(j) = 4*j**2 + 8*j - 8. Let l(a) = 5*g(a) + k(a). What is i*l(c) + 3*h(c)?
2*c**2
Let c(z) = -150*z**3 + 9*z**2 - 3*z + 9. Let s(o) = -74*o**3 + 4*o**2 - o + 4. Give -4*c(m) + 9*s(m).
-66*m**3 + 3*m
Let f(i) = 26647*i + 14. Let k(d) = -8904*d - 4. Determine 2*f(l) + 7*k(l).
-9034*l
Let n(y) = 7*y**2 + 11*y + 158. Let s(w) = 4*w**2 + 5*w + 77. Determine 2*n(z) - 5*s(z).
-6*z**2 - 3*z - 69
Let t(r) = 808*r + 12. Let y(a) = -429065*a - 6370. Give 3185*t(g) + 6*y(g).
-910*g
Let c(q) = 68*q**3 + 5*q**2 - q + 54. Let i(o) = 67*o**3 + 6*o**2 - 2*o + 64. What is -6*c(j) + 5*i(j)?
-73*j**3 - 4*j - 4
Let k(c) = -19*c - 9*c - 6 - 29*c + 77*c. Let q be 4/2*(4 - 2). Let w(m) = 7*m - 2. Calculate q*k(y) - 11*w(y).
3*y - 2
Let i(w) = 21*w**2 + 46*w - 11. Let t(u) = -2*u**2 - 11*u. Let v = 174 + -172. Let g(h) = -h**2 + h + 1. Let n(f) = v*g(f) + t(f). Determine 2*i(s) + 11*n(s).
-2*s**2 - 7*s
Let m(v) = -629*v**3 - 37*v**2 + 37*v. Let y(a) be the second derivative of -7*a**5/4 - a**4/6 + a**3/3 + 245*a + 5. Determine -2*m(q) + 37*y(q).
-37*q**3
Let o(r) = 2 - 1 + 6 - 3. Let f(c) = c**3 - 7. Let w(l) = -l**2 - 10*l - 16. Let v be w(-9). What is v*o(s) - 4*f(s)?
-4*s**3
Let v(g) = g**3 - 37*g**2 - 38*g - 11. Let d be v(38). Let t(b) = 9*b**3 + 13*b**2 + 3*b - 17. Let r(y) = 5*y**3 + 7*y**2 + 2*y - 9. What is d*r(f) + 6*t(f)?
-f**3 + f**2 - 4*f - 3
Let g be 3/(-9) + (-8)/(-6). Let h be g + 1 + (-4 - -5). Suppose 8720*m - 6 - 42 = 8708*m. Let j(w) = -6*w - 5. Let n(k) = 7*k + 6. Calculate h*n(d) + m*j(d).
-3*d - 2
Let w(l) = l. Let s(u) = 1. Let g = 0 - -1. Suppose 21 = 5*o + 6. What is g*s(i) + o*w(i)?
3*i + 1
Let y(c) = -218*c + 314. Let m(h) = 145*h - 194. Determine -8*m(z) - 5*y(z).
-70*z - 18
Let c = -8 + 2. Let h = -373 - -322. Let r be h*(10/8 + (-66)/72). Let f(w) = -w**2 - 7*w - 8. Let s(o) = 3*o**2 + 20*o + 23. What is c*s(k) + r*f(k)?
-k**2 - k - 2
Let i(n) = -2*n**2 + n. Suppose -375 = -59*l + 18*l - 34*l. Let k(h) = -2*h + h**2 - 3*h + 4*h. Calculate l*k(s) + 5*i(s).
-5*s**2
Let p(y) = 11*y. Let x(g) be the first derivative of -7*g**2 - 18*g**2 - 7 + 9*g**2. Let b be ((-34)/(-10))/(7/35). Determine b*p(f) + 6*x(f).
-5*f
Let o(m) = -17*m**3 + 7*m. Let w(i) = -6*i**3 + 2*i. Suppose 150*p = -2*j + 152*p - 6, -2*j - 41 = 5*p. Determine j*w(d) + 3*o(d).
-3*d**3 + 5*d
Let a(m) = 3*m - 8. Let f(s) be the first derivative of -s**2 + 4*s - 313. Let c = 662 + -665. Give c*a(i) - 5*f(i).
i + 4
Let x(j) = 173*j + 5. Let g(b) = 119*b + 4. Give 7*g(z) - 5*x(z).
-32*z + 3
Let n(t) = -1. Let l(x) = 88*x - 528. Let y be l(6). Let k(o) be the third derivative of -1/24*o**4 + 0 + y*o + 22*o**2 + 1/2*o**3. What is 2*k(d) + 5*n(d)?
-2*d + 1
Let y(k) = k**2 - 6*k - 1. Let o(v) = 6*v**2 - 345*v - 2. What is -o(r) + 4*y(r)?
-2*r**2 + 321*r - 2
Let w(s) = s**2. Let k(m) = 11*m**2 + 9*m. Let o(q) = -k(q) + 4*w(q). Let p(h) be the second derivative of h**4/2 + 4*h**3/3 - 29*h. Determine 5*o(u) + 6*p(u).
u**2 + 3*u
Let f(b) = b**2 + 5*b - 4. Let u be (-12)/(-10)*(-30)/(-9). Let z(p) = -4*p + 3. Let x be 7/1 - (-8 - -10). What is u*f(q) + x*z(q)?
4*q**2 - 1
Let i(y) = -376*y**3 + 5 - 5 - 379*y**3 + 4*y + 758*y**3 + 3*y**2. Let f(h) = -3*h**3 - 2*h**2 - 3*h. Give 4*f(n) + 3*i(n).
-3*n**3 + n**2
Let m(a) = -13*a + 17280 + 17282 - 34560. Let r(f) = -31*f + 11. Let h(l) = 16*l - 6. Let x(j) = 7*h(j) + 4*r(j). Give -3*m(p) + 4*x(p).
-9*p + 2
Let r(p) = 116*p + 3711. Let n be r(-32). Let t(i) = 7*i - 4. Let k(a) = -5*a + 1. Let u(j) = 9*j - 2. Let h(w) = -7*k(w) - 4*u(w). Determine n*t(c) - 4*h(c).
-3*c
Let q(a) = -6*a. Let x(f) = 2*f - 2. Let i(r) = -15*r - 173. Let d(u) = -i(u) - 5*x(u). Let l be d(-36). Let m(k) = -5*k - 1. Determine l*m(y) - 2*q(y).
-3*y - 3
Let u(z) = 7*z**2 + 2*z + 5. Let o(t) = 11*t**2 + 4*t + 10. Give 2*o(q) - 5*u(q).
-13*q**2 - 2*q - 5
Let b(v) = -1. Let a be (-8)/(-6) + (-196)/(-6). Suppose z = 1, -3*o + a = -0*o - 2*z. Suppose -o = 34*f - 32*f. Let c(r) = -r + 4. Give f*b(q) - c(q).
q + 2
Let x(y) = -1. Suppose -3 + 13 = 5*c, -v - 9 = -5*c. Let r(f) be the third derivative of f**4/8 + 4*f**3/3 + 15*f**2. What is v*r(u) + 5*x(u)?
3*u + 3
Let o(c) = -5*c**2 + 793300 - 5*c - 793298 + 0*c**2 - 9*c**2. Let b(w) = 9*w**2 + 3*w - 1. What is -8*b(z) - 5*o(z)?
-2*z**2 + z - 2
Let d = 8152 - 8152. Let c(f) be the third derivative of -f**3 + d*f + 0 + 1/24*f**4 + 10*f**2. Let x(l) = -l + 7. Give -6*c(h) - 5*x(h).
-h + 1
Let y(k) = 5*k + 89. Let u(x) = -15691*x + 31394*x - 15704*x - 18. Give 11*u(w) + 2*y(w).
-w - 20
Let a be ((-40)/(-6))/(60/45). Let i(p) = 1. Let s(t) = -4*t + 8. Calculate a*i(b) - s(b).
4*b - 3
Let v(w) = -19*w**3 - 13*w**2 - 31*w. Let a(g) = -9*g**3 - 6*g**2 - 15*g. Let t(p) = -p**2 - 77*p - 774. Let o be t(-65). Determine o*v(j) - 13*a(j).
3*j**3 + 9*j
Let q(w) = -14*w**2 + 29*w + 419. Let a(x) = 20*x**2 - 41*x - 628. What is 5*a(g) + 7*q(g)?
2*g**2 - 2*g - 207
Let y(d) = 649*d**2 + 6*d + 8. Let s(x) = -1302*x**2 - 10*x - 14. Give -5*s(m) - 9*y(m).
669*m**2 - 4*m - 2
Let t(o) = o**2 + 3. Let d(q) =
|
{
"pile_set_name": "DM Mathematics"
}
|
45010?
-43545003
In base 9, what is -2635 + 20?
-2615
In base 14, what is -4 - d9153?
-d9157
In base 14, what is -13 + -19423?
-19436
In base 16, what is 2 + -a778?
-a776
In base 7, what is 604 + -1156?
-252
In base 13, what is -2a8c7 - 1?
-2a8c8
In base 3, what is -11 + 1022112020?
1022112002
In base 11, what is 5a5 - a4?
501
In base 11, what is 1a7a + 5?
1a84
In base 13, what is 1 - -a575?
a576
In base 6, what is 42 - -2143240?
2143322
In base 12, what is -21346 + 5?
-21341
In base 15, what is 431 - -147?
578
In base 12, what is 71945 - 26?
7191b
In base 4, what is -1 - -313321101?
313321100
In base 12, what is -1 - 5115b?
-51160
In base 11, what is -27 + 177?
150
In base 12, what is -106329 - -12?
-106317
In base 12, what is 117 - 21b0?
-2095
In base 11, what is 36 + 34645?
34680
In base 10, what is -4 + 339784?
339780
In base 3, what is 10 + 101111220?
101112000
In base 13, what is 3 + -c397?
-c394
In base 13, what is 54 + 224?
278
In base 5, what is 4 + 31412?
31421
In base 6, what is -20045305 - -5?
-20045300
In base 11, what is -37064 - -4?
-37060
In base 8, what is 5 + -21332?
-21325
In base 5, what is 3 - -13201011?
13201014
In base 7, what is -254 + 41435?
41151
In base 3, what is 120200121221 - 11?
120200121210
In base 11, what is -57a - 489?
-a58
In base 15, what is -b + -272?
-27d
In base 8, what is -11 - -355636?
355625
In base 5, what is -10 + 4122432?
4122422
In base 11, what is -583 + 8?
-576
In base 14, what is -4ad8 + 59?
-4a7d
In base 6, what is -24 + 215?
151
In base 12, what is 71158 - 5?
71153
In base 11, what is 73 + -727?
-664
In base 16, what is -84a8 + -f?
-84b7
In base 11, what is 5 - -5a6334?
5a6339
In base 4, what is 201 - -302300?
303101
In base 5, what is -13413 + -1?
-13414
In base 14, what is -51a3 + -4?
-51a7
In base 6, what is -124411 + 0?
-124411
In base 5, what is 212202 - -111?
212313
In base 13, what is -8 + 2448a?
24482
In base 10, what is 850 - -280?
1130
In base 6, what is -122344 + -124?
-122512
In base 3, what is -1122201012 - 120?
-1122201202
In base 6, what is 105115305 + -4?
105115301
In base 5, what is 33432324 - -2?
33432331
In base 12, what is -1871223 + -3?
-1871226
In base 12, what is -10912 + 113?
-107bb
In base 6, what is -14552431 + 0?
-14552431
In base 6, what is -13254533 - 5?
-13254542
In base 14, what is -6cb5 + -18?
-6ccd
In base 8, what is 44637 + 1?
44640
In base 2, what is -10 - -1010101100?
1010101010
In base 16, what is 12e1 + 1c6?
14a7
In base 12, what is 17 - -159?
174
In base 13, what is -2256 + -92?
-2318
In base 8, what is -5 - 4115553?
-4115560
In base 11, what is -10a0 - 0?
-10a0
In base 16, what is 7 - 9e2?
-9db
In base 14, what is 1 - 6a021?
-6a020
In base 5, what is 20412112 + -2?
20412110
In base 14, what is -20d391 - -6?
-20d389
In base 2, what is -1001 - 101110001011100110?
-101110001011101111
In base 14, what is 2b - -b58?
b85
In base 16, what is -db1 + -10?
-dc1
In base 8, what is -244611 + 2?
-244607
In base 5, what is 244 - -1401?
2200
In base 9, what is 66 - -2732?
2808
In base 2, what is -100 - -10111011001010?
10111011000110
In base 7, what is 501 - -106?
610
In base 11, what is -2713 - 14?
-2727
In base 14, what is -1 + -3b6a?
-3b6b
In base 6, what is 2 - -123543?
123545
In base 14, what is 3ad - 740?
-371
In base 15, what is -8e1 + a?
-8d6
In base 7, what is -4 - 103443?
-103450
In base 9, what is 78 + 55021?
55110
In base 5, what is 1034132102 - 4?
1034132043
In base 8, what is -46 - 1342?
-1410
In base 3, what is -220200221 - 2?
-220201000
In base 15, what is -1 - -36047?
36046
In base 12, what is -b84301 + 0?
-b84301
In base 8, what is 37 - 2166?
-2127
In base 4, what is 213130 - 2223?
210301
In base 4, what is 122 + 3331?
10113
In base 3, what is -121 - -22202202?
22202011
In base 6, what is 1130 + -504?
222
In base 11, what is 1617 + -116a?
458
In base 7, what is -3251126 + 3?
-3251123
In base 11, what is 197 + 1a2?
389
In base 2, what is -11000111 - -1011011101010?
1011000100011
In base 4, what is -3002310300 + -11?
-3002310311
In base 7, what is -14 + 542225?
542211
In base 5, what is -104 - -2112414?
2112310
In base 13, what is -10 + 2940?
2930
In base 5, what is -242403 - -21?
-242332
In base 13, what is 2 + -39b15?
-39b13
In base 9, what is -2 + 53105?
53103
In base 7, what is -2 + -2421?
-2423
In base 16, what is 5 - -28cd?
28d2
In base 9, what is -156251 + -14?
-156265
In base 8, what is -1637 + -503?
-2342
In base 9, what is -2 + 476311?
476308
In base 9, what is -4 - -56430?
56425
In base 16, what is 4 - 63b7?
-63b3
In base 10, what is 0 + 117988?
117988
In base 4, what is -11212120 - -23?
-11212031
In base 14, what is 31840 + -4?
3183a
In base 14, what is 4ac - -118?
5c6
In base 12, what is -9 - -54a5a?
54a51
In base 14, what is -5a1ab - -5?
-5a1a6
In base 4, what is -20333310 + 2?
-20333302
In base 14, what is -1196 + -d?
-11a5
In base 8, what is 1151 + -45?
1104
In base 15, what is e + -84bd?
-84ae
In base 10, what is -4415 - -11?
-4404
In base 4, what is 11 - 230131?
-230120
In base 12, what is -7a69 - -7?
-7a62
In base 16, what is f5 - -2cd?
3c2
In base 9, what is -80 + -252?
-342
In base 5, what is -103410314 - 4?
-103410323
In base 8, what is -253401 + -4?
-253405
In base 4, what is -1100 - -2020?
320
In base 13, what is -7 + -96757?
-96761
In base 14, what is 5a018 + -2?
5a016
In base 16, what is -1c8 - -858?
690
In base 11, what is -4036 + 42?
-3aa4
In base 2, what is -1100 + -1000101111101110?
-1000101111111010
In base 7, what is -16242 + 66?
-16143
In base 9, what is 2 + 2307440?
2307442
In base 3, what is -1012010120 - -1?
-1012010112
In base 7, what is 3 - -36632?
36635
In base 15, what is -27 - -a1?
79
In base 16, what is -9 - -5333?
532a
In base 4, what is 21313 + -112?
21201
In base 7, what is -12 - 1030?
-1042
In base 10, what is 1516 + -133?
1383
In base 8, what is -31 + 14456?
14425
In base 16, what is -3b3c6 + 2?
-3b3c4
In base 11, what is 2a + 13a3?
1422
In base 5, what is 22142234 - 10?
22142224
In base 4, what is 2030 + -121031?
-113001
In base 3, what is -11120 - -111?
-11002
In base 13, what is 12a61 + -3?
12a5b
In base 7, what is -50 - -204645?
204565
In base 4, what is 132213 + -3113?
123100
In base 3, what is -11 + 102122011?
102122000
In base 6, what is -142 - -5503?
5321
In base 15, what is 17bd4 + 4?
17bd8
In base 10, what is 775 - -532?
1307
In base 3, what is 122111 + -10222?
111112
In base 3, what is -1122002001 - -11?
-1122001220
In base 14, what is 548 + 141?
689
In base 6, what is 1 - 1510043?
-1510042
In base 5, what is -212133 + -2443?
-220131
In base 6, what is -202354 + 24?
-202330
In base 11, what is 22764 + 3?
22767
In base 8, what is -3567 + 631?
-2736
In base 4, what is -1213323312 + -2?
-1213323320
In base 9, what is -370638 - 3?
-370642
In base 12, what is -381 - aa?
-46b
In base 6, what is -2454 - -2?
-2452
In base 8, what is -4 + -6024?
-6030
In base 12, what is 264 + 2633?
2897
In base 4, what is 220 - -20123?
21003
In base 11, what is -16 - 118116?
-118131
In base 15, what is -de + -9b?
-18a
In base 6, what is 40421 + 1?
40422
In base 7, what is 0 + 45536?
45536
In base 13, what is 125 + -94ca?
-93a5
In base 14, what is -c - -142ad?
142a1
In base 5, what is -20402020 - 22?
-20402042
In base 12, what is 5 + 1a0a1?
1a0a6
In base 4, what is 0 - -1030102?
1030102
In base 5, what is 203330103 + 0?
203330103
In base 11, what is a82 + -5?
a78
In base 4, what is -21212213022 - 3?
-21212213031
In base 6, what is 5 - 404214?
-404205
In base 6, what is -3301514 + 3?
-3301511
In base 9, what is -1 - 1222472?
-1222473
In base 5, what is 2222 + 1010?
3232
In base 15, what is 1d4be - 3?
1d4bb
In base 15, what is 6191 + -4?
618c
In base 14, what is -c45 - 40a?
-1251
In base 11, what is 33389 + 11?
3339a
In base 6, what is 5055041 + -2?
5055035
In base 13, what is -216 - 350?
-566
In base 16, what is -45e - ad?
-50b
In base 15, what is 1a74 - -48?
1abc
In base 8, what is -24227 + 3?
-24224
In base 16, what is 0 - 10afe?
-10afe
In base 4, what is 23100 + 2?
23102
In base 11, what is -2 + -62011?
-62013
In base 11, what is -15 + -939?
-953
In base 2, what is -10 - -1101011110?
1101011100
In base 2, what is 100000110101101 + 101?
100000110110010
In base 10, what is -477 - 20?
-497
In base 8, what is 3 + -125
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let a be p(11). Let f be -2 - (-27)/15 - (-4)/(-5). Put a, -5, f in descending order.
a, f, -5
Suppose -8*f - 2 = 30. Let l = 15 - 17. Sort f, l, 29 in decreasing order.
29, l, f
Let x be 371/(-119) - 8/(-68). Sort 1/6, -0.3, -0.2, x.
x, -0.3, -0.2, 1/6
Suppose 0 = -50*n - 678 - 322. Put -4, 3, 5, n in descending order.
5, 3, -4, n
Let s(f) be the first derivative of -f**2/2 - 14*f - 14. Let l be s(-13). Sort l, -5, -8 in increasing order.
-8, -5, l
Let c(k) = -11*k**3 + k. Let u be c(-1). Suppose u*j = 8*j. Suppose n - 1 + 4 = 0. Sort j, 5, n in descending order.
5, j, n
Suppose -3*c - 4*w = 35, -15 = -28*c + 32*c - w. Put 3, c, 68 in ascending order.
c, 3, 68
Let i(w) be the second derivative of -w**5/20 + w**4/4 - w**3/2 + w**2/2 + w. Let x be i(2). Suppose 0 = 8*y - 9*y - 5. Sort y, 2, x in descending order.
2, x, y
Let c be 16/5*(-2)/(-8). Let o = -1017.9 - -937. Let b = -81 - o. Put c, b, 0 in increasing order.
b, 0, c
Suppose j = 4*j - 3*q - 45, -j - 5*q + 45 = 0. Put -7, 1, j in decreasing order.
j, 1, -7
Let j = -13.49 - -12.69. Sort -1.1, j, 0.2.
-1.1, j, 0.2
Suppose f - 3 = i + 1, -2*i + f - 8 = 0. Suppose -14 = 3*x + 5*t, -x - 14 = 3*x + 2*t. Sort i, 19, x in descending order.
19, x, i
Let f = 48.7 - -0.5. Let v = -48 + f. Let p = 960/5159 + -2/469. Put 2, v, p in ascending order.
p, v, 2
Let c be (4 - 1023/258)*(-4)/3. Sort c, -4, 2/9.
-4, c, 2/9
Let c = 0.22 + 2.92. Let x = c + -3. Let b = x + 1.86. Sort b, 3, -0.1 in descending order.
3, b, -0.1
Let s = 2 - 7. Let u = 3.41 + -0.41. Sort 0.05, s, u in decreasing order.
u, 0.05, s
Let y be -1*(-4 - -2)*5. Suppose y = -2*x + 8. Let r be (-4)/(-14 + (-1 - -2)). Sort x, r, -0.3.
x, -0.3, r
Let b = 1.26 + 0.14. Let u = 1 - b. Let a be 10/(-8) + 868/784. Put a, u, 0 in increasing order.
u, a, 0
Let i = 272 - 271.5. Sort i, -4, 2/51 in increasing order.
-4, 2/51, i
Let k be -3*1 + ((-8109)/(-162))/17. Let o be ((-8)/6)/((-12)/(-2)). Let m = o - k. Put 1, -3, m in increasing order.
-3, m, 1
Let v = 25 + -26. Let b(w) = -4*w**3 - w - 1. Let t(h) = h**3 - 3*h**2 + 2*h - 1. Let x be t(1). Let l be b(x). Put 1, v, l in decreasing order.
l, 1, v
Let t be (-3)/(3*(-2)/22). Suppose -10 = -6*i + t*i. Sort 2, i, 3 in decreasing order.
3, 2, i
Let k be ((-1)/3)/(20/420) - -5. Let s = -3 - -2.97. Put s, k, -3 in ascending order.
-3, k, s
Let o be 62/(-30) + (-12)/20. Let h = 30 + -47. Let f = h - -14. Sort f, 5, o in descending order.
5, o, f
Let h be 4/(-10) - 34/(-10). Suppose -5*v - 2 = h. Put v, 1, -5 in increasing order.
-5, v, 1
Suppose -14*m - 125 + 153 = 0. Sort m, -9, -11 in decreasing order.
m, -9, -11
Suppose -4*a - g + 2*g = 17, -2*g = a - 7. Let y be 1 - (-3 - -1)/2. Let j be 1*(-1)/(3 - y). Put 3, j, a in increasing order.
a, j, 3
Let m be -6 - 13/((-65)/50). Put 2, -5, -2, m in increasing order.
-5, -2, 2, m
Let t = 1/449 + -456/3143. Sort 2, 4, t, 6.
t, 2, 4, 6
Let r = -466 + 468. Sort 32, r, -3.
-3, r, 32
Suppose -6*q + 16*q = 40. Suppose -4 = -q*v + 6*v. Sort -4, v, 0 in descending order.
0, v, -4
Let g = -39 + 39. Let a be g + -1 - ((-39)/9 + 4). Sort -3, 1, 5, a in decreasing order.
5, 1, a, -3
Let c be (48/(-15))/(-5*(-8)/100). Sort c, 10, -2 in increasing order.
c, -2, 10
Let g(q) = q**3 - 7*q**2 + 7*q + 6. Let h be g(6). Suppose 0*t = -4*t - h. Put -1, 3, t, 0 in descending order.
3, 0, -1, t
Let l = -234 + 234. Sort l, -271, -3 in descending order.
l, -3, -271
Suppose 0 = 4*s + 4*r + 4, 9*s + 15 = 10*s - 3*r. Sort -4, s, -1, 2 in descending order.
s, 2, -1, -4
Suppose 0 = -5*c - k - 270, 432 = -4*c - 4*c + 5*k. Sort 1, c, 2.
c, 1, 2
Let t be ((120/(-16))/(-5))/((-3)/(-8)). Put -1/5, t, -19 in decreasing order.
t, -1/5, -19
Let d = 1498 - 1493. Sort -5, 397, d.
-5, d, 397
Suppose 0 = -28*n - 736 - 356. Sort n, -4/5, 0.5, 1.
n, -4/5, 0.5, 1
Let g(d) = d**2 - d + 3. Let j(k) be the third derivative of k**6/120 + k**4/24 + 3*k**2. Let p be j(0). Let a be g(p). Sort -5, 1, a in decreasing order.
a, 1, -5
Suppose 5*i - 10 = 2*q + q, 0 = 3*q - 15. Suppose 0*l + l + 2 = i*k, -l + k = -2. Let t = 1.79 + -2.29. Sort l, t, 0 in descending order.
l, 0, t
Suppose -193*k + 191*k = -8. Put 1, -4, k, -158 in decreasing order.
k, 1, -4, -158
Suppose 104*q - 59*q = 90. Sort 0, -4, q in descending order.
q, 0, -4
Let x = -63 - -50. Sort 5, x, 8 in descending order.
8, 5, x
Suppose 5*b - 8 - 2 = 0, -3*y - b + 17 = 0. Sort y, 3, -18 in decreasing order.
y, 3, -18
Let o = 10 + -10. Let s = o - -5. Let l(j) = -j**3 - 8*j**2 - 3*j + 29. Let w be l(-7). Put w, s, 4 in descending order.
s, 4, w
Let s = 627 + -632. Let p = 249 - 8219/33. Put 4, s, p in ascending order.
s, p, 4
Let z = -2 + 51. Let y = 47.9 - z. Sort y, 2, -0.2, -3.
-3, y, -0.2, 2
Let m = 6 + -10. Let t = 7.42 + -7.44. Sort t, 4, m, 5 in increasing order.
m, t, 4, 5
Let u be -5 + (-25)/(-5) + 17. Sort 3, u, 5 in ascending order.
3, 5, u
Let p be 15/(-10) - (-2)/(-4). Let q be (-24)/p*5/20. Suppose q*o = -12 + 3. Sort 5, 0, o in ascending order.
o, 0, 5
Let f(d) = d**2 - 12*d + 9. Let m(g) = -2*g + 3. Let t be m(-4). Let s be f(t). Let u(i) = i**2 + 11*i + 14. Let y be u(-10). Sort 2, s, y.
s, 2, y
Let p = 1604.8 + -1605. Let f = -13 - -19. Let t = 8 - f. Sort 0.2, p, t in descending order.
t, 0.2, p
Let n be (-8)/(-2)*3/12. Let j(m) = -m**3 + 7*m**2 - 8*m + 12. Let k be j(6). Suppose k = -3*q - 3*i, -2*i + 9 = -2*q + q. Put -2, n, q in descending order.
n, -2, q
Let h = -80 - -75. Let i(x) = -x**2. Let v be i(1). Put h, v, 6 in decreasing order.
6, v, h
Let p be ((-4)/(-1) + -2)/2. Let n = p - 2. Sort 2, 0, n in descending order.
2, 0, n
Let s = 3.0275 - 0.0275. Sort 3/2, -2, s in increasing order.
-2, 3/2, s
Let p(m) = -6*m + 55. Let d be p(10). Let v be 6/(-8)*10/15*-2. Put v, 5, d in decreasing order.
5, v, d
Let z be (-12)/22 - (-5513)/407. Let a = 11 + -7. Put -1, z, a in ascending order.
-1, a, z
Let h = 12 + -18. Let f = -17 - h. Let s be 12 + f + (1 - -3). Put s, -4, 2 in descending order.
s, 2, -4
Suppose 2*g = -12, -w = -g + 104 - 115. Let z = 21 + -15. Sort 0, z, w, 2 in decreasing order.
z, w, 2, 0
Let o(p) = 9*p + 27. Let t be o(-5). Let y be 1 + (-4)/5 - t/(-90). Sort -9, y, 3.
-9, y, 3
Suppose -9 - 1 = 5*d. Let j(m) = -m**3 - 5*m**2 - 2*m + 3. Let b be j(-4). Let o = -4 - b. Sort o, 5, d in ascending order.
d, o, 5
Let q = -61/134 + -3/67. Put 2/7, 0, -0.3, q in decreasing order.
2/7, 0, -0.3, q
Let h = 11 - 14. Suppose -5*f - 4*d - 68 = -28, -2*d = -f - 8. Let r be (f/9)/((-4)/(-6)). Put r, -2, h in increasing order.
h, -2, r
Let j = -0.346 - -0.292. Sort 4, 5/6, -5, j in ascending order.
-5, j, 5/6, 4
Let a = -0.1 - -0.3. Let q = 195.5 - 195. Let n = 1 + -0.9. Sort q, n, a in descending order.
q, a, n
Let s = -83 + 57. Let w be (-57)/(-18) - 3 - s/60. Sort -2, w, -0.2 in increasing order.
-2, -0.2, w
Let v(d) = 3*d**3 + 5*d**2 - 4*d - 2. Let o be v(-2). Sort o, -18, -4, 0 in increasing order.
-18, -4, 0, o
Let p = -17 + 12. Let g = -4172 - -4145. Put g, p, -1 in increasing order.
g, p, -1
Let r = 12/5 + -17/7. Sort 2/5, 3, r in decreasing order.
3, 2/5, r
Suppose -3*c + 1 = -11. Suppose 0 = 5*n + c + 21. Sort -1, n, -19.
-19, n, -1
Suppose 0 = b + 3*j + 2 - 1, 2 = -j. Suppose 101*w = 96*w - 20. Sort b, w, 0 in ascending order.
w, 0, b
Let l be (508/16*(-42)/7)/(-6). Sort 5/2, -1/3, l in descending order.
l, 5/2, -1/3
Let p = 0.061 + -0.001. Let g = p - 0.16. Put g, -5, 6/25 in increasing order.
-5, g, 6/25
Suppose -1 + 8 = -5*z - k, -3*k = -9. Suppose 8*m + 44 = -12. Let u = z - m. Sort -1, u, 1 in decreasing order.
u, 1, -1
Suppose 18 = 3*d - 3*r, r = 5*d - 3*d - 9. Let p(g) = -g + 10. Let j be p(10). Sort j, 4, 2, d.
j, 2, d, 4
Let j = 104 + -107. Let i be (0 - j)*3/(-522). Sort 4, -2, -3, i.
-3, -2, i, 4
Let g be ((-1)/2)/((-15)/30). Put -13, g, -8 in descending order.
g, -8, -13
Suppose -5*y - 5*j - 4 = 1, 2*y = -3*j - 3. Let l = -1402 + 1399. Sort -1, y, l, -4 in descending order.
y, -1, l, -4
Let p = 1218 - 1214. Sort p, -141, 3 in ascending order.
-141, 3, p
Let z be 3 + (-3)/2 - 60/8. Sort 3, 5, z in descending order.
5, 3, z
Suppose 0*y - 6*y = -24. Suppose 4*o - 3*m = -32, -3*o = -3*m + y*m + 11. Sort 6, 3, o, -3 in ascending order.
o, -3, 3, 6
Let m = 63 - 66. Sort -5, m, 3, -4 in ascending order.
-5,
|
{
"pile_set_name": "DM Mathematics"
}
|
-731.4 and 3117749604?
3117750335.4
0.5 + -18855439.83902
-18855439.33902
Subtract 0.23748 from 0.13770868.
-0.09977132
What is 291623929122 + 68?
291623929190
What is -0.5 less than -3859.800522?
-3859.300522
Add -458276 and -361283950.
-361742226
-125915200607+5
-125915200602
Calculate 0.1 + 124789459250.
124789459250.1
What is the difference between -97.1 and 1606302770?
1606302867.1
Add together -201727495 and 3166.1.
-201724328.9
What is -41.265 - 9203.54026?
-9244.80526
Subtract 304 from -26554.7477.
-26858.7477
1809772624887 - 0.136
1809772624886.864
Add together 0.4765 and 0.61305378.
1.08955378
What is 4141.8 plus 130950512?
130954653.8
Calculate 0.153337 + 3.57912228.
3.73245928
Work out 47760279314 + -1484.
47760277830
Work out 358809 + 20275.871.
379084.871
Calculate -9455690 - -15197943.
5742253
Work out 4.11294352164 + -3.
1.11294352164
What is -27192 - -1975762070?
1975734878
Sum 0.20595 and -9386508.
-9386507.79405
Calculate -8 + 11981167360892.
11981167360884
-21.411 + -5040173
-5040194.411
-6867 - 222463.6
-229330.6
What is -8122 + -0.0142708839?
-8122.0142708839
-6480326093863+0.5
-6480326093862.5
294.5615 + 56478
56772.5615
Add together 40066 and -2344040140.
-2344000074
0.0575+258.249494
258.306994
Subtract -4786731856 from 23527.
4786755383
584 - 633224852
-633224268
What is 632482670.94 plus 1012?
632483682.94
Calculate 7617606132.8 - 3247.
7617602885.8
What is 3682521.1 + -884.64?
3681636.46
Calculate 0.94 - 134396317434.
-134396317433.06
What is -0.2 - -0.00126143003342?
-0.19873856996658
-0.9 - 3007588479433
-3007588479433.9
Add together -160174873.316 and 4135.
-160170738.316
Calculate 9.006 + 301403.8451.
301412.8511
Total of 356087445262 and -0.6.
356087445261.4
What is -13518658271 + 46.8?
-13518658224.2
Calculate -16.1706 - 973394398.
-973394414.1706
Add 3 and 646204.9260809.
646207.9260809
Subtract 15742 from -1.898758602.
-15743.898758602
What is -5865 + -2015461.267?
-2021326.267
-0.00701 - 135379905
-135379905.00701
Calculate 400 - 263109545.
-263109145
Add -133208389266 and -46.
-133208389312
What is -0.06 less than -483307.8788008?
-483307.8188008
Add together -22099673.3 and 2.19607.
-22099671.10393
What is -52363506.613 minus -11?
-52363495.613
What is 1 take away 13847553219.711?
-13847553218.711
0.3 + 9730548296075
9730548296075.3
0.0161578 - 13736290
-13736289.9838422
What is the difference between -88665579 and 1.0662?
88665580.0662
What is the distance between -4330.5 and -890.183069?
3440.316931
105.1 + -108014256
-108014150.9
Sum -127484.021 and -71.668.
-127555.689
What is -32210 + -199.025934?
-32409.025934
What is -187.2 minus 29804312?
-29804499.2
2493+87411228.53
87413721.53
Total of 15 and 0.237857254356.
15.237857254356
Work out -7667890982.24 - -0.4.
-7667890981.84
Total of -147633218 and -3721.
-147636939
Sum -121 and -170138250728.
-170138250849
What is 0.180337 take away 38463?
-38462.819663
What is the difference between -367454901 and 2.86?
367454903.86
Calculate 593.5208 - 70557904.
-70557310.4792
What is 10 less than 8820636116156?
8820636116146
What is -1552139 - -463176?
-1088963
-2885.8 + -55872.4397
-58758.2397
What is 4798783 less than -5013?
-4803796
Subtract 1417.997 from -32157824.
-32159241.997
Calculate -2100442 - -2477.9.
-2097964.1
What is 1177 take away 196601952?
-196600775
What is 0.2 take away 813703.786376?
-813703.586376
Total of 0.02487 and -0.435011756.
-0.410141756
What is 54280664677 plus -304.3?
54280664372.7
-1573914.1 - -852
-1573062.1
Subtract 540882567.371 from -2.65.
-540882570.021
What is 8132074998 take away -34.89?
8132075032.89
What is -0.1845091 take away -32603?
32602.8154909
Calculate -0.09994382884 - -84.443.
84.34305617116
Calculate 14.83607842 + 0.34.
15.17607842
What is -13576 + -7967584.96?
-7981160.96
0.4 - 12568830319714
-12568830319713.6
What is 876.286 minus 12.6519?
863.6341
Calculate -181 - -347423536182.
347423536001
What is -10189 + 231295525.1?
231285336.1
What is the difference between 286075.441 and -0.26734?
286075.70834
What is -78482 minus -216598.07?
138116.07
0.151 + 371.34753403
371.49853403
Sum -14.7115 and -0.0480623.
-14.7595623
2.8 + 882626699448
882626699450.8
What is the difference between 0.0623017021885 and 2660?
2659.9376982978115
-257305 - -0.085075372
-257304.914924628
What is -42994157566 - -561?
-42994157005
Calculate 0.182165651 + 67953.
67953.182165651
What is -19 + 1003897278016?
1003897277997
Calculate -42.87 - 15522305.
-15522347.87
What is the distance between -36389782209 and 1?
36389782210
What is -19343 take away 19513934?
-19533277
Calculate -80.01887 + -1030192.
-1030272.01887
What is 2373272001 + 296?
2373272297
What is 153372.8149 take away 23.9?
153348.9149
What is the difference between -26 and 337220091716?
337220091742
What is -0.08 + -2481433.3384?
-2481433.4184
What is -147 plus 602.9544951?
455.9544951
29805429383+96.75
29805429479.75
Add together -348.994108264 and 396.
47.005891736
What is -4756.8612534 - 0.03011?
-4756.8913634
Work out -10 - -208775445.3693.
208775435.3693
What is 3045659618.3 + -692?
3045658926.3
Work out -0.66 - 3596.013544.
-3596.673544
Work out 7894853 + -307199.
7587654
Calculate -3651.406 - -779.098.
-2872.308
What is -0.1248466 minus -797576238?
797576237.8751534
What is 4540916165.3 minus 0.3?
4540916165
Subtract 108.659 from -5275356612.
-5275356720.659
What is the difference between -0.0156431655 and -1395?
1394.9843568345
Add together -325.3939 and -18914.
-19239.3939
Work out 22368969550117 + -0.24.
22368969550116.76
Calculate 3899026968 - 0.11.
3899026967.89
What is -4597016 + -29590496?
-34187512
What is 24282.093 + -0.15954?
24281.93346
Total of 0.265 and 2247112732122.
2247112732122.265
0.376436 - -375910195
375910195.376436
What is -255644 take away 261.2131?
-255905.2131
Calculate -626 + -2831.62855.
-3457.62855
1001+648670108
648671109
What is 5591153 less than 412127?
-5179026
Calculate -1490303.84 + -21627.54.
-1511931.38
Work out -0.122 + -336073865.
-336073865.122
Calculate -50364.9678 + 0.0133.
-50364.9545
Calculate 5 - 128886.955633318.
-128881.955633318
What is -21549233 take away 9333.77?
-21558566.77
Put together 1632.245793 and 53.
1685.245793
What is the distance between 1.082776811 and -33828?
33829.082776811
Work out 0.88 - -461641977963.
461641977963.88
What is the difference between 288604039086 and -1526?
288604040612
Work out -12834808790 - -408.
-12834808382
What is 0.910579119 + -5.226?
-4.315420881
-247855480713 + -0.4
-247855480713.4
-3539.77932+91451
87911.22068
Sum -1356436736 and 9.4.
-1356436726.6
15709367.149 + -0.05
15709367.099
Add together 117468653007 and 1643.
117468654650
Add together -7 and 498951232712.
498951232705
What is 656.295505 plus 170?
826.295505
Work out 634883787 - 141.
634883646
Work out -2994.7 + 5354464375.
5354461380.3
What is 0.3156372 plus 0.876667?
1.1923042
Calculate 107372274549 + -8158.
107372266391
What is 5 take away 1363618531342?
-1363618531337
Add together 100298237388749 and -0.1.
100298237388748.9
Sum -2 and -202099632509.
-202099632511
What is 1.84 less than 1042875963?
1042875961.16
Calculate -155363806 - -0.4991.
-155363805.5009
1062331+1219122
2281453
What is -1249.80622609 less than -0.2?
1249.60622609
What is 229419 + 43554102?
43783521
What is 48711325134 less than 0.172?
-48711325133.828
What is 0.03 minus -448952101825?
448952101825.03
Calculate 114.0519940633 - -871.
985.0519940633
Total of -171315.645 and -25.226.
-171340.871
10452 - -10932315973
10932326425
What is -55365078617 - -4?
-55365078613
What is the difference between 0.9175 and -50510645?
50510645.9175
What is 3217897471 plus 12968?
3217910439
Sum 0.8 and 2215253540.5.
2215253541.3
Put together -11850557854 and -0.25.
-11850557854.25
What is -67272.46 - -213129.21?
145856.75
-110937901 + 2.281395
-110937898.718605
Work out -21.73320027 - -0.08.
-21.65320027
Add -8999 and 252156702.
252147703
Calculate -2 - 79580965812.
-79580965814
What is 38.304 take away 3073424966?
-3073424927.696
Add -45 and 20060447308.
20060447263
What is the distance between 176338286 and 0.563?
176338285.437
Calculate 172976 - 944.536.
172031.464
What is -38.923947636 less than 0.4?
39.323947636
What is the distance between -2044169.6422 and 21
|
{
"pile_set_name": "DM Mathematics"
}
|
t from {e: 1, j: 5, u: 3, d: 3, m: 6}. What is prob of sequence uj?
5/102
Two letters picked without replacement from {r: 2, e: 3, l: 1, f: 2, p: 3, o: 4}. What is prob of sequence lp?
1/70
Four letters picked without replacement from kdekq. What is prob of sequence dqek?
1/60
Two letters picked without replacement from ffqggtgqxfzgg. What is prob of sequence gx?
5/156
Two letters picked without replacement from {n: 2, p: 1, z: 1, i: 1, a: 2}. What is prob of sequence az?
1/21
Calculate prob of sequence iaa when three letters picked without replacement from {a: 7, i: 9}.
9/80
What is prob of sequence xffa when four letters picked without replacement from {a: 1, x: 7, v: 2, u: 4, f: 2}?
1/3120
What is prob of sequence aa when two letters picked without replacement from {o: 3, a: 11}?
55/91
Calculate prob of sequence xfx when three letters picked without replacement from {f: 6, x: 7, b: 6}.
14/323
What is prob of sequence hb when two letters picked without replacement from hsfffbfafh?
1/45
What is prob of sequence fj when two letters picked without replacement from {q: 1, v: 1, f: 2, g: 1, b: 1, j: 1}?
1/21
Calculate prob of sequence sw when two letters picked without replacement from wrrsnrrrn.
1/72
What is prob of sequence lk when two letters picked without replacement from {k: 3, d: 3, l: 2, h: 4, g: 7}?
1/57
Four letters picked without replacement from {h: 2, z: 1, i: 1}. What is prob of sequence hiii?
0
Two letters picked without replacement from {g: 3, i: 2}. Give prob of sequence ii.
1/10
Two letters picked without replacement from {y: 2, d: 1, l: 1, k: 2, q: 4, x: 4}. Give prob of sequence dk.
1/91
Calculate prob of sequence vxsa when four letters picked without replacement from sxvra.
1/120
Calculate prob of sequence mrrm when four letters picked without replacement from {r: 8, m: 2}.
1/45
Four letters picked without replacement from ixwigwii. Give prob of sequence wxig.
1/210
Three letters picked without replacement from {d: 1, b: 3, z: 1}. What is prob of sequence bdz?
1/20
Calculate prob of sequence tn when two letters picked without replacement from tdytnttydtytttyttyyn.
1/19
Three letters picked without replacement from uuuuxuuuxuuuuuuuuuuu. What is prob of sequence uxx?
1/190
What is prob of sequence oeo when three letters picked without replacement from foefo?
1/30
Two letters picked without replacement from {s: 2, n: 7}. What is prob of sequence nn?
7/12
What is prob of sequence vl when two letters picked without replacement from {d: 3, v: 1, l: 4}?
1/14
Calculate prob of sequence zgag when four letters picked without replacement from gzrrgarzzlg.
1/440
Calculate prob of sequence jj when two letters picked without replacement from rrrjjjj.
2/7
Two letters picked without replacement from {p: 7, c: 3, m: 2, d: 2, v: 4}. What is prob of sequence dd?
1/153
Calculate prob of sequence rz when two letters picked without replacement from zquurruurrqqu.
1/39
Three letters picked without replacement from {s: 1, n: 1, e: 1, a: 1, r: 1, w: 2}. What is prob of sequence wes?
1/105
Calculate prob of sequence ma when two letters picked without replacement from ammaaaaaaaa.
9/55
Calculate prob of sequence ooig when four letters picked without replacement from wiiiigiogoi.
1/330
Calculate prob of sequence kk when two letters picked without replacement from {e: 9, m: 5, k: 2, c: 2}.
1/153
Three letters picked without replacement from ofofffoofoofof. What is prob of sequence off?
7/52
What is prob of sequence spps when four letters picked without replacement from ppiipppsppsspisssipp?
15/646
What is prob of sequence kt when two letters picked without replacement from {t: 1, s: 1, k: 1}?
1/6
Calculate prob of sequence ooo when three letters picked without replacement from {e: 3, o: 7}.
7/24
Three letters picked without replacement from tttttttbttttttt. What is prob of sequence ttb?
1/15
What is prob of sequence yfny when four letters picked without replacement from ygynncwf?
1/420
Two letters picked without replacement from kpppm. Give prob of sequence pm.
3/20
Calculate prob of sequence rn when two letters picked without replacement from tgngrn.
1/15
Calculate prob of sequence hhs when three letters picked without replacement from hhfhfhfssf.
1/30
Two letters picked without replacement from {m: 3, v: 4, h: 5, d: 5, j: 1}. Give prob of sequence mh.
5/102
Calculate prob of sequence dgdd when four letters picked without replacement from {d: 9, a: 1, j: 1, g: 4}.
4/65
What is prob of sequence dd when two letters picked without replacement from dddddddwddwwdd?
55/91
Four letters picked without replacement from jwwwwjwwwwjwwjwj. Give prob of sequence wjwj.
55/1092
Two letters picked without replacement from {i: 1, c: 1, n: 1, e: 1, v: 1, a: 2}. Give prob of sequence cv.
1/42
Four letters picked without replacement from uooiuoguougujguuguu. Give prob of sequence gigu.
3/2584
What is prob of sequence mm when two letters picked without replacement from dmccmmcdc?
1/12
Calculate prob of sequence zzzs when four letters picked without replacement from {t: 13, z: 3, s: 4}.
1/4845
Two letters picked without replacement from {a: 1, e: 8, g: 5, z: 2, c: 2, y: 2}. What is prob of sequence gg?
1/19
Three letters picked without replacement from {h: 2, e: 3}. Give prob of sequence eeh.
1/5
Two letters picked without replacement from {s: 1, y: 6, a: 11}. Give prob of sequence sy.
1/51
What is prob of sequence jcx when three letters picked without replacement from cjxjxcccc?
5/126
Three letters picked without replacement from {b: 3, u: 5, y: 2}. Give prob of sequence yyu.
1/72
Calculate prob of sequence ffat when four letters picked without replacement from qjtaffgaaqjjq.
1/2860
Three letters picked without replacement from gnvnvvvfvvlfnvngt. What is prob of sequence ngn?
1/170
Two letters picked without replacement from {y: 3, c: 13}. Give prob of sequence yc.
13/80
Calculate prob of sequence ioxo when four letters picked without replacement from ocyoyooxooxiycxccxyy.
1/969
Three letters picked without replacement from {o: 7, d: 2}. Give prob of sequence dod.
1/36
Two letters picked without replacement from {j: 4}. What is prob of sequence jj?
1
Four letters picked without replacement from {w: 7, s: 2}. Give prob of sequence swww.
5/36
What is prob of sequence je when two letters picked without replacement from {j: 1, e: 2, h: 2, w: 7}?
1/66
Calculate prob of sequence hqqh when four letters picked without replacement from qhqhhh.
1/15
Two letters picked without replacement from {r: 1, w: 2, g: 1, b: 1}. What is prob of sequence br?
1/20
Two letters picked without replacement from {m: 1, p: 4, r: 4, d: 2, y: 6}. Give prob of sequence yp.
3/34
What is prob of sequence orme when four letters picked without replacement from rrrrooopoomeooo?
4/4095
Four letters picked without replacement from iricsrviirrsiyv. Give prob of sequence csir.
1/819
Calculate prob of sequence djg when three letters picked without replacement from {j: 1, d: 1, y: 2, q: 2, g: 1, b: 1}.
1/336
Two letters picked without replacement from {c: 1, t: 2, w: 1, b: 2, s: 1, x: 1}. Give prob of sequence bx.
1/28
What is prob of sequence dd when two letters picked without replacement from {d: 3}?
1
What is prob of sequence sbw when three letters picked without replacement from {w: 1, k: 8, s: 2, b: 4}?
4/1365
Two letters picked without replacement from brnqrhbq. Give prob of sequence nh.
1/56
Calculate prob of sequence ctt when three letters picked without replacement from tbct.
1/12
Calculate prob of sequence eepp when four letters picked without replacement from epeepe.
1/15
Calculate prob of sequence hmq when three letters picked without replacement from {m: 2, l: 1, h: 2, q: 1}.
1/30
Three letters picked without replacement from {v: 3, e: 2, l: 4, t: 2, k: 2}. What is prob of sequence ltl?
2/143
Three letters picked without replacement from xzwiwiiwixzzx. What is prob of sequence zwz?
3/286
Two letters picked without replacement from {a: 3, j: 5}. Give prob of sequence aj.
15/56
Three letters picked without replacement from jllnnejzehzz. What is prob of sequence nhl?
1/330
What is prob of sequence dq when two letters picked without replacement from ffppppfdfppppqfwfwf?
1/342
Calculate prob of sequence
|
{
"pile_set_name": "DM Mathematics"
}
|
*i + 7*i + p = 12, -5*p + 20 = 0. Suppose 3*n + q + i = 0, -6*q = 2*n - q + 10. Solve 0 = -5*v + o + 17, -2*o - 2 = -2*v - n*o for v.
4
Let y be (-2)/(-7) - (4 + 611/(-91)). Solve -2*v - 7 = -y*a - 2, v = 4*a for v.
-4
Let b be (-13 - -11) + (5 - 0). Suppose 0*j = -b*j + 9. Suppose 3*i + f - 1 = 5, 4 = 2*i - j*f. Solve 4*l = i*l + 4*g + 2, 0 = 3*l + 5*g + 8 for l.
-1
Let r(f) = -11*f**2 - 5*f - 4. Let v be r(-2). Let u = -34 - v. Solve u*c + 9 = 4*l + l, 0 = 4*l - 3*c - 7 for l.
1
Let l(p) = 170*p + 1. Let t be l(-2). Let g be 2/(-8) + t/(-12). Suppose -512*o + 527*o - 60 = 0. Solve 0 = 3*f - 12, o*m - 5*f + g = -0*m for m.
-2
Let i = -13 + 15. Suppose 3*b + 8 = 3*t - 10, i*t - b = 9. Suppose -3*n + 3 + 21 = t*z, -2*n + 7 = -z. Solve -20 = -2*d + 5*v, 5*d + 13 = -n*v + 28 for d.
5
Let b = 10 - 6. Suppose -14 = 5*z - 39, -3*a + 25 = 5*z. Solve a = 3*s + b*t + 5, -10 = 2*s + 4*t - 0*t for s.
5
Suppose 2*r - 3*r = 3*g - 15, 3*g + 3 = 5*r. Suppose -3*v + 4*t = -7*v + 28, -4*v + r*t - 7 = 0. Solve -a = v*y + 13, -4*a = -y - a + 11 for y.
-4
Suppose -5*h + 25 = -3*f + 4, h - 9 = 3*f. Let w = 31 + -31. Let x = h + w. Solve 3*a = 2*m + x*m + 7, 0 = -m + 2*a - 7 for m.
1
Let j be -4*4/(-8)*1. Let b be (j + -1)/(1/3). Suppose -b*x + 2 + 10 = 0. Solve -p + 5 = -2*p, -30 = -5*f + x*p for f.
2
Let c(p) = -p. Let x be c(0). Suppose 4*b = -2*o + 24, -4*b + 4 = -x. Solve -1 - 21 = n - 5*z, 0 = -2*z + o for n.
3
Let t(r) be the third derivative of -1/6*r**4 + 3/2*r**3 + 1/30*r**5 - 11*r**2 + 0*r + 0. Let a be t(4). Solve 2*m - 5*y - a = 0, 0*y + 5*y = 3*m - 30 for m.
5
Let j(d) = -d**3 - 6*d**2 + 30. Let l be j(-5). Suppose -2*h + 2 = -h. Solve f + h*f = -l*v, -5*v + 2*f = 0 for v.
0
Suppose -50 = -5*g - 5*v, -5*v - 14 = -4*g + 26. Suppose g = -3*d + 8*d. Let b be ((-15)/(-10))/(1/d). Solve -15 = 5*r, -b*s + 0*r + 3 = 2*r for s.
3
Suppose 3*i = 5*i. Suppose i = -5*y - 5*v - 15, 4*y - v = y + 11. Suppose y*u - 8 = 0, 2*u = 3*k - 0*u + 5. Solve z - 9 = p - k, 0 = p + 4*z - 7 for p.
-5
Let w = -30 - -53. Let r = 26 - w. Suppose 0 = -4*z + r*p + 111, -5*z + 0*p + 4*p + 139 = 0. Solve z = -5*q - o, 0 = -4*q + q + 2*o - 11 for q.
-5
Let g(p) = p**3 + 10*p**2 + 7*p - 7. Let m be g(-9). Suppose -m*l = -15*l + 8. Suppose 2*x - x = 11. Solve -u + s = -2*s - 8, -l*u + x = -s for u.
5
Let s(w) = w - 4. Let q be s(9). Suppose 0 = 5*r + c - 70, 4*c - 55 = -q*r + 6*c. Solve 4*f = -5*t - r, -6 = -f + 4*t - 4 for f.
-2
Let i be (9 - (9 - 0))/(-1). Solve -2*y = 4*f + 3 - 1, i = -4*f + 4*y + 28 for f.
2
Suppose 5*c = c + 20. Suppose 7*n = c*r + 2*n - 5, -5*r + 12 = 2*n. Suppose 0 = -r*q - 2*q + 88. Solve -3*h + 4*o = -q, -4*h - 5*o - 3 = 9 for h.
2
Let m be -9 + -12*(-3)/(-6). Let o = 15 + m. Let d be 2/(-2)*6/(-2). Solve 3*w = -15, 3*j + d*w = -o - 3 for j.
4
Suppose c = 3*t - 4, 56 - 21 = 5*t + 4*c. Solve -t*k - u = -15, -2*u - 20 = -4*k + 3*u for k.
5
Let q = -2 + 4. Suppose 0 = -j + 5*d + 23, -2*d - 4 + 30 = 4*j. Let p be j*q*(-3)/(-12). Solve -1 - 2 = -h, -p*a + 4*h = 8 for a.
1
Let o(u) = -u**3 - 4*u**2 - 2*u + 3. Let j = 16 - 4. Suppose j = -n - 2*n. Let a be o(n). Solve 0*f - 5*f + 3*r + a = 0, -3*f + r = -5 for f.
1
Let h(x) = x**2 + 5*x - 6. Let c be h(-6). Suppose c = -f + 4*f - 9. Suppose -4 = 2*o - f*o. Solve z + 4 = -2*d, -o*z = -7*z - 4*d - 6 for z.
2
Let u = -593 + 596. Let o = -5 - -7. Solve -3*z + u*k = -z - 7, -z + o*k + 4 = 0 for z.
2
Let f = -519 - -519. Solve -5*d = 4*q + 21, -5*q - 4*d = -f*q + 15 for q.
1
Let h be (-4)/26 + (318/13)/3. Suppose 0 = -4*d + h + 4. Solve 5*v - 5 = -5*i, 3 + 2 = i - d*v for i.
2
Let o = 267 - 257. Solve p + p = 2*v - o, -3*v + 23 = -5*p for v.
1
Suppose -35 = 8*y - 9*y. Let w = y + -33. Solve 4*r - 3*f + 4*f - 16 = 0, -w = -2*r + f for r.
3
Suppose 0 = n + 3*f - 3, n - f + 2*f = 3. Suppose 5*a = -4*v - 16, -2*v + 0 - 8 = n*a. Let o be 16/10 + 4/10. Solve -4*j + a*d - 14 = -o*d, d + 18 = -3*j for j.
-5
Let x be -9 + 4 + 0/(-2) + 5. Solve -d + 11 = -x*l - 5*l, -d - 3*l - 13 = 0 for d.
-4
Let c(f) = f**3 + 2*f**2 + 2*f + 3. Let t be c(-2). Let q be t/((-4 + 1)/9). Solve -q*g - z + 2 = 0, 0*g - 2*z = g + 6 for g.
2
Let z = -5 + 5. Let l be (-7)/(-3) - 2/(-3). Let s = -249 - -252. Solve l*n = s*q + 3, 4*q - 5*n = -z - 9 for q.
4
Suppose 2*r - 12 = -r. Suppose -k + 22 = 10. Suppose -s + 12 - k = 0. Solve 12 = -2*n + 2*c, n + r*c + 4 - 13 = s for n.
-3
Let n(l) = l**3 - 3*l**2 + 3*l - 1. Let f be n(3). Let q(c) = -c**2 + 10*c - 11. Let y be q(f). Solve -p + 0*j + j = -4, 2*p - 8 = -y*j for p.
4
Suppose 30 - 2 = -7*x. Let g be 0/x + 4 + 19. Let t = -1 + 1. Solve 3*p - 5*c + 31 = -0*c, -p - 5*c + g = t for p.
-2
Let c be 17/4 + 9/12. Suppose z + c*j = -0*z - 15, -2*z - 2*j + 2 = 0. Suppose z*w = 30 - 5. Solve 5*x + 15 = -0, 2*x = w*n + 19 for n.
-5
Let h(o) = o**3 + 5 - 1 + 1 - 8*o**2 - 2*o. Let b be h(8). Let x = -9 - b. Solve 5*u - 18 = -2*s, s - 5 = -x*s - 2*u for s.
-1
Let t(f) = -f**3 + 14*f**2 + 12*f + 50. Let r be t(15). Solve 3*d = h - 10, -3*h + r*d = 2*h - 20 for h.
1
Suppose -u + 14 = -3*g + 4, -4*u + 14 = g. Suppose -a + 2*l = -u*a + 30, 5*a = -l + 50. Solve -3*h - 6 = -2*n + 10, 3*n = h + a for n.
2
Let p(d) = d**2 - 3*d + 2. Let x = 2 + 1. Let o be p(x). Suppose o*k + 48 = 6*k. Solve 2*l - 4*v + k = 0, l + 2*l + 5*v - 15 = 0 for l.
0
Suppose -89 - 703 = 12*u. Let s = -64 - u. Solve -2*i - 8 = 2*g, -4 = -s*g + i - 0 for g.
0
Suppose 4*t = 20, 5*d = 3*t - 9 + 4. Solve d*i + 9 = -3*a, 4*i = a + 14 + 3 for a.
-5
Let f be (-5 + 4)*-4 - -15. Solve 2*x - 22 = -5*d, -3*x - 7*d = -3*d - f for x.
1
Suppose -3*c + 34 = -3*s + 58, 3*s + 3*c = 6. Solve -2*p = -4*n, -3*n = s*p - n - 12 for p.
2
Suppose 0 = -3*y - 3, 5*y - 215 = -4*v - 0*y. Let s(p) = -36*p + 1. Let a be s(1). Let j = v + a. Solve 2*t - 5*k = 7*t + 5, -4*t - j = -4*k for t.
-3
Suppose -2*i = -3*u + 9, 17*u - 7*i = 13*u + 12. Let g = -10 + 16. Solve -5*a = -k + g, u*a + 4 = -a for k.
1
Let g(j) = j**2 - 21*j + 23. Let r be g(20). Suppose 0 = 2*t + r*t - 10. Solve 3*d = 2*l - 3 + 6, -t*l - 5*d + 21 = 0 for l.
3
Let l(t) = -6*t - 6. Let y be l(-3). Let w be (-3)/(-12) - (-45)/y. Solve -4*o - w*j = -16, 0 = -4*j + 5*j - 1 for o.
3
Suppose 0 = 2*u - d - 13, 6*d - 11 = -u + 8*d. Solve u*c - c + 2*i - 12 = 0, 4*i + 16 = 0 for c.
5
Let x(z) = -3*z + 40. Let o be x(12). Solve o*p + 17 = a, 2*a + a = -3*p - 24 for p.
-5
Suppose r + 3*r = 16. Suppose 11 = 3*x - r. Suppose x*z - z = 40. Solve v - 3*c + 5 = 0, -4*c + z + 0 = 2*v for v.
1
Let r(z) = -z**2 - 9*z - 6. Let w be r(-8). Suppose -b = -w - 5. Solve -3*t - 2*v + b = 0, -4*t + v + v = -28 for t.
5
Let m be (-105)/630*(-1 - 17). Solve 2*c = 6, -5*v + m = c - 0 for v.
0
Suppose -41 + 26 = -3*a. Solve -4*h - p = 0, -a*p + 2*p = 3*h for h.
0
Suppose -4*u + 2*k + 50 = 0, -u + 2*k = 3*k - 14. Solve 2*f - 3*f = -4*b + u, -b = -2 for f.
-5
Let y = -603 + 607. Solve 3*t = 4*o - 3, -4*o = -t + 3 + y for t.
-5
Let y(h) = -19*h - 91. Let b be y(-5). Solve 2*o + 8 = b*p, -2 = o + p - 1 for o.
-2
Let f be (0 + 0)/(-1 + 0). Suppose r + 19 = 20. Solve 0 = -3*x - 4*p - r, f*p + 20 = -5*p for x.
5
Suppose -l + 19 = x, -l = -3*x + l + 57. Suppose x*q - 95 = 14*q. Solve 3*w = 4*u + 7, 2*u + 4*w + q = -1 for u.
-4
Let d be (15/(-2))/(-1 + (-12)/(-24)). Let c be ((-4)/(-6))/(4/30). Solve 3*j - d = -0*l + 3*l, -c*l + 10 = 2*j for l.
0
Let b(p) = -9*p**3 - p**2 + 2*p - 1. Let w be b(1). Let d = -5 - w. Solve 5*f + a - 4 = 5*a, -d*a = 4*f - 32 for f.
4
Suppose 253*t - 235*t = 54. Solve 0 = -3*l + 8*l + t*u - 37, 5*l - 29 = -u for l.
5
Let k(b) = -2*b - 7. Let u be k(-11). Suppose -c = 5*h - u, -30 = -h - 4*h - 4*c. Let x be h + -1 + 4 + 0. Solve -3*f - 9 + 0 = -2*j, x*j + 2*f + 25 = 0 for j.
-3
Suppose 0 = -5*m + 10, 25*m = -3*v + 28*m + 9. Solve -2 = -4*y - 0*y - s, 0 = -3*y + s + v for y.
1
Let u(r) = -2*r**2. Let l be u(-2). Let a = l - -9. Suppose 4*d - a - 7 = 0. Solve -t + 2*t + 2 = 0, 4*b - d*t = -16 for b.
-5
Let h(m) = -8*m**2 + 3*m - 3. Let u be h(-3). Let q be 10/14 - 24/u. Let x be 8/(-28) + (-37)/(-7). Solve n = x*j - 7, j - 2 = -q for n.
-2
Let x = -89 + 92. Let z = 29 + -8. Solve 2*u - x*h = -z, -4*u = u + 3*h for u.
-3
Suppose 14 - 26 = -3*h. Suppose 0 = -f + h*a + 4, 12 = 3*f - 0*a - 3*a. Solve -c = -1, -t + 0 = 2*c - f for t.
2
|
{
"pile_set_name": "DM Mathematics"
}
|
vvivvnnnn.
1/380
Calculate prob of sequence daad when four letters picked without replacement from {b: 1, d: 2, x: 1, f: 1, a: 1, c: 1}.
0
What is prob of sequence iii when three letters picked without replacement from {i: 10}?
1
Three letters picked without replacement from {a: 2, w: 5}. What is prob of sequence waw?
4/21
What is prob of sequence fkkf when four letters picked without replacement from fffffkffkffff?
1/78
Four letters picked without replacement from aeegeuyueeygegeygoea. What is prob of sequence yeug?
8/4845
Calculate prob of sequence nl when two letters picked without replacement from {x: 7, w: 3, n: 1, l: 1, p: 2}.
1/182
Two letters picked without replacement from vee. What is prob of sequence ve?
1/3
Two letters picked without replacement from jjsnkjnkjjj. Give prob of sequence nj.
6/55
Three letters picked without replacement from {s: 1, q: 2, k: 2, m: 1, f: 1}. Give prob of sequence qfs.
1/105
Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkk.
1
Four letters picked without replacement from {p: 2, n: 2, h: 2}. What is prob of sequence nnpp?
1/90
What is prob of sequence yta when three letters picked without replacement from {d: 1, a: 2, t: 11, y: 2}?
11/840
Three letters picked without replacement from {f: 4, w: 8, q: 1}. What is prob of sequence fwf?
8/143
Calculate prob of sequence zl when two letters picked without replacement from llobzbflzb.
1/15
What is prob of sequence df when two letters picked without replacement from mffmdnkdfmkddnfnnkdd?
6/95
What is prob of sequence gv when two letters picked without replacement from {g: 3, v: 1, d: 1, e: 9}?
3/182
Two letters picked without replacement from {y: 2, j: 1, c: 3, s: 3, p: 10}. What is prob of sequence pc?
5/57
Three letters picked without replacement from aanjqyqeaaye. Give prob of sequence jae.
1/165
What is prob of sequence geh when three letters picked without replacement from yehhxgxhhhyxk?
5/1716
Four letters picked without replacement from {f: 1, k: 3, w: 3, g: 4}. What is prob of sequence kfkw?
1/440
What is prob of sequence fg when two letters picked without replacement from {f: 1, z: 5, o: 4, g: 1, x: 4}?
1/210
Calculate prob of sequence gtrt when four letters picked without replacement from {t: 2, g: 1, i: 2, b: 3, r: 4}.
1/1485
Calculate prob of sequence mh when two letters picked without replacement from {h: 6, m: 4}.
4/15
Two letters picked without replacement from {y: 1, t: 3, p: 1, b: 2, v: 3, z: 1}. Give prob of sequence yb.
1/55
Calculate prob of sequence kk when two letters picked without replacement from {k: 3, x: 3}.
1/5
Three letters picked without replacement from {y: 1, o: 1, x: 1, f: 1, m: 1, v: 2}. Give prob of sequence xfo.
1/210
Three letters picked without replacement from jjjjjzjzzzzzjzzz. Give prob of sequence zzj.
3/20
Four letters picked without replacement from {b: 1, d: 2, o: 1, x: 3, j: 1, r: 3}. Give prob of sequence xroj.
1/880
Calculate prob of sequence tf when two letters picked without replacement from tff.
1/3
Three letters picked without replacement from {y: 4, g: 1, z: 6, c: 7}. What is prob of sequence ygc?
7/1224
Three letters picked without replacement from teejtttututteejeu. Give prob of sequence eee.
1/68
Four letters picked without replacement from {t: 1, q: 5, p: 5}. Give prob of sequence pqpt.
5/396
Two letters picked without replacement from {a: 2, r: 1, d: 8, i: 5}. What is prob of sequence rd?
1/30
Two letters picked without replacement from {q: 3, f: 13}. Give prob of sequence qq.
1/40
Calculate prob of sequence zzik when four letters picked without replacement from {f: 2, i: 1, n: 3, k: 1, l: 1, z: 5}.
1/858
Calculate prob of sequence fe when two letters picked without replacement from {c: 7, f: 2, p: 1, e: 9}.
1/19
Four letters picked without replacement from {t: 3, y: 5, k: 1, o: 1, v: 5, u: 5}. What is prob of sequence yukv?
25/23256
Calculate prob of sequence iiii when four letters picked without replacement from iiiiii.
1
What is prob of sequence ss when two letters picked without replacement from sssssss?
1
Three letters picked without replacement from hzh. Give prob of sequence hzh.
1/3
Three letters picked without replacement from gnqjgdgqgndgndqgqg. What is prob of sequence ggj?
7/816
Calculate prob of sequence wwb when three letters picked without replacement from mwmwmcmtwmmwtbcmwt.
5/1224
Two letters picked without replacement from {m: 1, j: 2, c: 2, q: 1}. What is prob of sequence jm?
1/15
Three letters picked without replacement from oyj. What is prob of sequence jyo?
1/6
Three letters picked without replacement from {x: 7, v: 12}. Give prob of sequence vvx.
154/969
Calculate prob of sequence yy when two letters picked without replacement from {s: 2, y: 3, w: 10}.
1/35
What is prob of sequence av when two letters picked without replacement from {d: 3, f: 3, a: 7, v: 1}?
1/26
What is prob of sequence ni when two letters picked without replacement from iiiiinbinniin?
8/39
Three letters picked without replacement from yaddaad. What is prob of sequence dad?
3/35
Two letters picked without replacement from {v: 7, y: 2, c: 1, b: 6, x: 3}. What is prob of sequence vx?
7/114
Four letters picked without replacement from uvujvjzsjevvvvj. What is prob of sequence uzvs?
1/2730
Calculate prob of sequence yzp when three letters picked without replacement from zpvym.
1/60
What is prob of sequence ul when two letters picked without replacement from eezuuudluucuucue?
1/30
Four letters picked without replacement from {t: 1, q: 1, i: 3}. What is prob of sequence itiq?
1/20
Three letters picked without replacement from {u: 3, x: 1, g: 3, w: 3, m: 1, z: 2}. What is prob of sequence zgm?
1/286
Three letters picked without replacement from aazzz. What is prob of sequence aza?
1/10
What is prob of sequence on when two letters picked without replacement from qnoqnsmmqmnqq?
1/52
Two letters picked without replacement from {f: 2, c: 1, b: 5, r: 1, v: 11}. What is prob of sequence bv?
11/76
Calculate prob of sequence jk when two letters picked without replacement from {g: 2, s: 4, i: 1, j: 4, k: 6}.
3/34
Calculate prob of sequence qh when two letters picked without replacement from hhhhhhhhhhqh.
1/12
Three letters picked without replacement from {q: 10, m: 9}. Give prob of sequence mmm.
28/323
What is prob of sequence gk when two letters picked without replacement from ikigkaoookkiitiioi?
2/153
What is prob of sequence xr when two letters picked without replacement from tzrtgxrzztzz?
1/66
Two letters picked without replacement from oorzwfw. What is prob of sequence wz?
1/21
What is prob of sequence pi when two letters picked without replacement from {i: 1, o: 8, r: 4, p: 2, m: 1}?
1/120
Four letters picked without replacement from ttrttactu. Give prob of sequence cuta.
5/3024
Four letters picked without replacement from {e: 8, a: 5, y: 1, l: 1, m: 5}. Give prob of sequence ayyy.
0
Calculate prob of sequence vvva when four letters picked without replacement from {v: 3, n: 2, m: 3, a: 2, t: 3}.
1/1430
Three letters picked without replacement from ztkntk. What is prob of sequence znt?
1/60
What is prob of sequence mnv when three letters picked without replacement from {h: 1, r: 2, n: 2, x: 1, m: 1, v: 1}?
1/168
What is prob of sequence hxrh when four letters picked without replacement from xxxrhhxrrrxhxxxx?
9/1820
What is prob of sequence tgt when three letters picked without replacement from {g: 17, t: 2}?
1/171
Calculate prob of sequence yo when two letters picked without replacement from yoyoyo.
3/10
Two letters picked without replacement from siidddiiidiid. Give prob of sequence si.
7/156
Four letters picked without replacement from {k: 8, p: 2}. What is prob of sequence kkpk?
2/15
What is prob of sequence kea when three letters picked without replacement from {k: 5, e: 6, a: 1, v: 4}?
1/112
Three letters picked without replacement from tqitqlrlqqrqrtrti. What is prob of sequence qlt?
1/102
What is prob of sequence ry when two letters picked without replacement from yyryrrg?
3/14
Four letters picked without replacement from {g: 3, j: 7, x: 2}. What is prob of sequence xjjx?
7/990
Two letters picked without replacement from fxfxffcc. Give prob of sequence cf.
1/7
Two letters picke
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of 4*l + s + 8*l + h*l wrt l.
15
Suppose 50 = -19*j + 29*j. What is the third derivative of 218*n**6 + 6*n - n - 3*n**3 - j*n - 229*n**6 + 47*n**2 wrt n?
-1320*n**3 - 18
Let s(z) = 6*z - 20 - 15 + 40. Let y(v) = -v - 2. Let o(h) = 2*s(h) - 14*y(h). Differentiate o(x) wrt x.
26
Let b(z) be the first derivative of 0*z**2 - 16*z**5 - 1/4*z**4 + 96 + 0*z + 61/3*z**3. What is the third derivative of b(p) wrt p?
-1920*p - 6
Let l(w) = -2549*w**2 - 953*w - 1. Let i(r) = 7648*r**2 + 2859*r + 2. Let t(u) = -2*i(u) - 7*l(u). Find the second derivative of t(g) wrt g.
5094
Suppose 0 = -62*w + 81 + 43. Let c(r) be the third derivative of 0*r + 8/3*r**3 + 0*r**5 - 7*r**w + 0*r**4 + 0 - 1/24*r**6. Differentiate c(k) wrt k.
-15*k**2
Let k be 4 - (-11)/(44/36). What is the second derivative of 5*m**4 + k*m**3 + 33*m + 64*m - 34*m**3 - m**4 wrt m?
48*m**2 - 126*m
Let z(g) be the third derivative of g**6/60 - 83*g**4/8 + 1015*g**3/3 - 2601*g**2. Find the first derivative of z(k) wrt k.
6*k**2 - 249
Let h(z) be the first derivative of 0*z - 173/2*z**2 - 99 - 20/3*z**3. What is the second derivative of h(g) wrt g?
-40
What is the third derivative of 2*s - 6622*s**3 - 2555*s**3 - 13*s**2 - 17*s**2 - 2010 + 28*s**2 + 6355 wrt s?
-55062
Let f(t) = -429*t**2 + 1692. Let n(h) = -145*h**2 + 563. Let r(a) = 6*f(a) - 17*n(a). What is the derivative of r(c) wrt c?
-218*c
Let a(q) be the third derivative of 0*q**6 + 0*q**5 - 21*q**2 - 2*q + 0*q**3 - 17/70*q**7 + 35/6*q**4 + 0. What is the second derivative of a(h) wrt h?
-612*h**2
Let a(b) be the second derivative of b**6/5 - 13*b**3/6 + 1525*b**2/2 - 2*b + 3. Differentiate a(q) wrt q.
24*q**3 - 13
Suppose -14*w + 183 + 307 = 0. What is the derivative of 51 + w*u**2 + 8*u**2 + 3*u**2 wrt u?
92*u
Suppose 22*x = 25*x + 3. Let a be (3/x)/((-6)/4). Find the third derivative of 18*r**3 - 38*r**a + 1 - 1 + 28*r**2 wrt r.
108
Find the second derivative of 5*c**2 - 2565*c + 4120*c - 90*c**3 - 2*c**2 + 3*c**2 wrt c.
-540*c + 12
Let h(c) = -c**2 + 133*c - 21. Let l = -11 - -14. Let j(m) = -2*m**2 + 263*m - 44. Let z(o) = l*j(o) - 5*h(o). Find the first derivative of z(b) wrt b.
-2*b + 124
Differentiate -461 - 1278 + 3649*j**2 - 55 - 869 with respect to j.
7298*j
Let o(l) be the second derivative of -179*l**4/3 - l**3/3 - 574*l**2 - 411*l - 6. Find the second derivative of o(z) wrt z.
-1432
Let g(h) = -2*h**3 - 2*h**2 + 2*h + 4. Let o be g(0). Find the second derivative of -253*k - 16*k**2 - 3*k**o + 36*k**2 - 20*k**2 - 52*k**3 wrt k.
-36*k**2 - 312*k
Suppose 255 = -6*g + 11*g. Differentiate 19 + 161*z**2 + g + 59 with respect to z.
322*z
Suppose -5*k - f = -22 - 1, 2*k = 4*f - 4. Find the second derivative of 3*a**3 - 2*a**2 + a**2 - 2 + 0*a**3 - 2*a**2 - k*a wrt a.
18*a - 6
Let y(r) be the third derivative of 61*r**5/30 - r**4/6 + 565*r**3/2 - 921*r**2 + 2*r. Differentiate y(t) with respect to t.
244*t - 4
What is the third derivative of 3150*a**2 + 424*a**6 + 936*a**6 + 28*a**6 wrt a?
166560*a**3
Let a(z) be the second derivative of -37*z**5/10 - 664*z**2 - 1634*z. What is the first derivative of a(q) wrt q?
-222*q**2
Suppose 5*s = 208 + 12. Differentiate -45*z + 8 + s*z + 38 + 128*z**3 wrt z.
384*z**2 - 1
Let u be 9*7/147 - 8/(-14). Let s be u + ((-6)/(-24) - 3/(-4)). What is the third derivative of 41*o**2 + 21*o**5 + 3*o**5 + 8*o**5 - 5*o**s wrt o?
1920*o**2
Let s = -2 + 16. Suppose -s - 166 = -5*w. Find the first derivative of 31*q**3 + w*q**3 - 72*q**3 - 12 wrt q.
-15*q**2
Let o be (54/(-252))/(1/(-14)). Let v(n) be the second derivative of 0*n**4 - 11/10*n**5 - 21*n + 12*n**2 + 0 + 0*n**o. Differentiate v(a) with respect to a.
-66*a**2
Let h(p) be the second derivative of 305*p**7/14 - p**6/30 + p**4/6 + 1087*p**2/2 + 101*p - 1. Find the third derivative of h(y) wrt y.
54900*y**2 - 24*y
Let f(g) = -2*g - 20. Let y be f(-10). Suppose 24*x = 21*x + 12. Differentiate -17 + 35*h**x - 2 + y - 7 wrt h.
140*h**3
Let l be (-5 - 120/(-16))*8. What is the second derivative of -34*h**2 - 98*h - l*h**2 - 3 - 96*h + 199*h - 60*h**2 wrt h?
-228
Let v(w) = -4074*w**3 - 17*w**2 + 34*w + 3127. Let b(p) = 679*p**3 + 3*p**2 - 6*p - 521. Let h(z) = -34*b(z) - 6*v(z). Find the first derivative of h(r) wrt r.
4074*r**2
Suppose 4*r + 3*a - 13 + 2 = 0, -3*r + a = -5. Find the third derivative of -107*s**r - 29*s**6 - 2 - 34*s**6 + 2 - 43*s**2 wrt s.
-7560*s**3
Suppose -8*y + 10*y - 3*c = 9, -4*y + 2*c = -14. Find the third derivative of -234*b**2 + 31*b**2 + 129*b**y + 27*b**3 wrt b.
936
What is the second derivative of 344*m**5 - 1520971*m - 2856*m**5 + 1520278*m wrt m?
-50240*m**3
Let l be (78 + -77)*(0 + 2). Find the third derivative of -6 - 31*c**2 + 6 - 18*c**l + 0*c**2 - 172*c**5 wrt c.
-10320*c**2
Suppose -69 = -3*f - 66. Differentiate f - l**3 + 80 + 20 - 4*l with respect to l.
-3*l**2 - 4
Let o be 16/(-2 + 10) + 2/2. What is the derivative of o + 34*d - 62 - 12 wrt d?
34
What is the first derivative of 0*w**4 - 574*w + 3*w**4 + 149*w + 3606 - 4690 + w**4 wrt w?
16*w**3 - 425
Let s be ((-2)/(-8) + -1)*(-15 + 11). What is the third derivative of 4*o**4 + 4*o**2 - 38*o**4 - 5 - s*o**2 + 37*o + 5 wrt o?
-816*o
Suppose -6*p - 8 = -2*p. Let c be (11/p)/((-4)/8). What is the third derivative of 6*o**2 - c*o**4 - 12*o**4 - 4*o**2 wrt o?
-552*o
Let a(x) = -32*x**5 + 425*x**3 - 6955*x. Let l(q) = 17*q**5 - 212*q**3 + 3477*q. Let n(v) = 6*a(v) + 11*l(v). Find the second derivative of n(m) wrt m.
-100*m**3 + 1308*m
Suppose -18 = -21*f + 45. Find the third derivative of -f*m - 14*m**6 - 16*m**6 - 7*m**2 - 3*m**6 + 12*m**2 wrt m.
-3960*m**3
Let c(u) = -3086*u**2 + 5*u + 1034. Let t(f) = 3085*f**2 - 6*f - 1040. Let w(q) = 6*c(q) + 5*t(q). What is the first derivative of w(x) wrt x?
-6182*x
Suppose p = 15*k - 14*k + 5, 4*k + 2 = -2*p. What is the second derivative of 8*a**3 - 3*a**3 - 30*a**2 - 2*a**p - 74*a - 153*a wrt a?
18*a - 60
Let v(o) = -o**2 - 8*o - 14. Let c be v(-4). Find the second derivative of -1 + 431*r - 3*r**3 - 485*r + 0*r**2 + 3*r**c wrt r.
-18*r + 6
Let m(k) = -206*k - 68. Let i(v) = 69*v + 23. Let d be 1184/144 - (-4)/(-18). Let s(c) = d*i(c) + 3*m(c). What is the first derivative of s(r) wrt r?
-66
Let y(x) be the second derivative of -613*x**3/3 - 307*x**2 - 250*x + 2. Differentiate y(w) wrt w.
-1226
Let b(c) = 1179*c + 1746. Let n(r) = -148557*r - 219995. Let y(s) = 253*b(s) + 2*n(s). What is the derivative of y(l) wrt l?
1173
Let i = -688 - -691. What is the third derivative of 0*m**i - 545*m**2 - 169*m**5 + 2*m**3 - 522*m**2 + 1271*m**2 wrt m?
-10140*m**2 + 12
Let n(k) be the first derivative of -k**4/2 - 485*k**3/3 + k**2 - 6206*k - 11297. What is the derivative of n(r) wrt r?
-6*r**2 - 970*r + 2
Let q(w) = -4070*w**3 - 18*w**2 + 6*w - 5095. Let o(v) = 12213*v**3 + 51*v**2 - 17*v + 15285. Let t(c) = 6*o(c) + 17*q(c). What is the derivative of t(u) wrt u?
12264*u**2
Let d(l) be the first derivative of 2*l + 1/4*l**4 - l**3 + 68 - 27*l**2. What is the second derivative of d(y) wrt y?
6*y - 6
Let o(k) = -10156*k - 4682. Let u(d) = 3371*d + 1561. Let f(z) = -3*o(z) - 8*u(z). What is the first derivative of f(m) wrt m?
3500
Differentiate -1136 - 3*z**2 + 447*z**4 + 442*z**4 + 25*z**2 - 879*z**4 wrt z.
40*z**3 + 44*z
What is the third derivative of 400*z**5 - 2*z**3 - 2*z**2 - 2876 - 9*z + 10*z + 3588*z**4 - 3589*z**4 wrt z?
24000*z**2 - 24*z - 12
Let g be 21 - 1 - (0 - -1). Let r(v) = -v**2 - 27*v + 474. Let x be r(12). What is the derivative of -x - 38*j + 6 - g wrt j?
-38
What is the second derivative of 3254788*c**3 - 3254595*c**3 + 9034*c - 6*c**2 + 3*c**2 wrt c?
1158*c - 6
Let v(j) be the second derivative of 0*j**5 + 0 + 23/2*j**2 + 0*j**3 - 34*j + 26/15*j**6 + 0*j**4. Differentiate v(f) wrt f.
208*f**3
Let b(m) be the first derivative of -232*m**5 - 6*m**2 - 77*m - 1070. What is the second derivative of b(a) wrt a?
-13920*a**2
What is the third derivative of -1242*s**5 + 111 + 3*s**2 + 13 + 0*s**2 + 102 wrt s?
-74520*s**2
What is the third derivative of 199*s**2 - 3 + s - 146324868*s**3 - 2 + 146331063*s**3 wrt s?
37170
Suppose 2*p - t + 0*t - 13 = 0, -p + 2 = -5*t. Suppose p*o - 2*o - 10 = 0, h - 37 = o. Find the third derivative of -32*f**4 + 29*f**4 + h*f**2 + 0*f**2 wrt f.
-72*f
Let a(n) = 15*n + 1 + 5 + 10 + 42
|
{
"pile_set_name": "DM Mathematics"
}
|
of -21170, -20744, -20318, -19892, -19466?
426*o - 21596
What is the q'th term of -380806, -381611, -382416, -383221?
-805*q - 380001
What is the c'th term of 59805197, 59805200, 59805203, 59805206, 59805209?
3*c + 59805194
What is the s'th term of -520460, -1040904, -1561346, -2081786, -2602224?
s**2 - 520447*s - 14
What is the q'th term of -1124027, -2247998, -3371913, -4495772, -5619575, -6743322, -7867013?
28*q**2 - 1124055*q
What is the j'th term of 1068472, 1068492, 1068512, 1068532, 1068552?
20*j + 1068452
What is the j'th term of 5914455, 5914437, 5914409, 5914371?
-5*j**2 - 3*j + 5914463
What is the g'th term of -15486860, -30973742, -46460624, -61947506, -77434388, -92921270?
-15486882*g + 22
What is the v'th term of -73157, -139489, -205821, -272153?
-66332*v - 6825
What is the i'th term of 20250, 20251, 20264, 20289, 20326?
6*i**2 - 17*i + 20261
What is the f'th term of -96233, -384765, -865601, -1538741?
-96152*f**2 - 76*f - 5
What is the i'th term of -916810, -916851, -916892, -916933, -916974?
-41*i - 916769
What is the w'th term of 159581, 319051, 478521, 637991?
159470*w + 111
What is the x'th term of 727, 1281, 1793, 2275, 2739, 3197, 3661?
2*x**3 - 33*x**2 + 639*x + 119
What is the g'th term of -9762019, -19524033, -29286047, -39048061, -48810075, -58572089?
-9762014*g - 5
What is the z'th term of 81981, 81112, 80243, 79374, 78505?
-869*z + 82850
What is the t'th term of 114646, 114918, 115190, 115462?
272*t + 114374
What is the t'th term of -43618, -43649, -43670, -43681, -43682, -43673, -43654?
5*t**2 - 46*t - 43577
What is the j'th term of 180361, 360817, 541373, 722029?
50*j**2 + 180306*j + 5
What is the g'th term of 4735, 3262, 833, -2552?
-478*g**2 - 39*g + 5252
What is the d'th term of -28593, -28902, -29729, -31332, -33969, -37898, -43377, -50664?
-43*d**3 - d**2 - 5*d - 28544
What is the r'th term of -183093, -183161, -183223, -183279?
3*r**2 - 77*r - 183019
What is the w'th term of 15367, 61238, 137733, 244852, 382595, 550962?
15312*w**2 - 65*w + 120
What is the c'th term of 289, -476, -1241, -2006, -2771?
-765*c + 1054
What is the d'th term of -400, -3774, -12990, -30970, -60636, -104910, -166714, -248970?
-487*d**3 + d**2 + 32*d + 54
What is the m'th term of 4055970, 8111947, 12167924, 16223901, 20279878, 24335855?
4055977*m - 7
What is the g'th term of -5211, -9026, -12819, -16578, -20291, -23946?
2*g**3 - g**2 - 3826*g - 1386
What is the n'th term of -33185423, -33185422, -33185421, -33185420?
n - 33185424
What is the s'th term of -8598, -16952, -25304, -33654, -42002?
s**2 - 8357*s - 242
What is the k'th term of 365956, 731980, 1098004, 1464028?
366024*k - 68
What is the p'th term of 84194, 84109, 83970, 83777, 83530, 83229?
-27*p**2 - 4*p + 84225
What is the v'th term of 3913546, 15654206, 35221972, 62616844, 97838822, 140887906?
3913553*v**2 + v - 8
What is the y'th term of 55385, 110769, 166143, 221501, 276837, 332145?
-y**3 + y**2 + 55388*y - 3
What is the n'th term of 14245, 13905, 13565, 13225, 12885?
-340*n + 14585
What is the v'th term of 2299, 3983, 5055, 5515, 5363?
-306*v**2 + 2602*v + 3
What is the k'th term of 157, 1122, 3711, 8734, 17001, 29322, 46507, 69366?
135*k**3 + 2*k**2 + 14*k + 6
What is the q'th term of -27158948, -27158943, -27158938, -27158933, -27158928, -27158923?
5*q - 27158953
What is the w'th term of 1087131, 2174256, 3261381, 4348506, 5435631?
1087125*w + 6
What is the t'th term of 334399, 334246, 334093, 333940, 333787, 333634?
-153*t + 334552
What is the m'th term of 14427150, 14427160, 14427176, 14427198, 14427226?
3*m**2 + m + 14427146
What is the f'th term of 2184, 4763, 7358, 9969, 12596, 15239, 17898?
8*f**2 + 2555*f - 379
What is the k'th term of 500, 349, -174, -1255, -3080, -5835?
-31*k**3 + 66*k + 465
What is the a'th term of 10896661, 10896669, 10896677, 10896685?
8*a + 10896653
What is the d'th term of 153248, 613093, 1379536, 2452577, 3832216?
153299*d**2 - 52*d + 1
What is the j'th term of -24498, -5366, 13764, 32892?
-j**2 + 19135*j - 43632
What is the k'th term of -774534, -1549072, -2323612, -3098154?
-k**2 - 774535*k + 2
What is the t'th term of -761073, -1522173, -2283259, -3044325, -3805365, -4566373?
t**3 + t**2 - 761110*t + 35
What is the o'th term of -614, -435, -108, 391, 1086?
4*o**3 + 50*o**2 + o - 669
What is the w'th term of 821630, 1643361, 2465092?
821731*w - 101
What is the s'th term of 6348, 6153, 5958, 5763?
-195*s + 6543
What is the l'th term of -370520, -741044, -1111568, -1482092?
-370524*l + 4
What is the f'th term of -75755, -151518, -227283, -303050, -378819, -454590?
-f**2 - 75760*f + 6
What is the j'th term of -460, -1115, -1824, -2611, -3500, -4515, -5680, -7019?
-4*j**3 - 3*j**2 - 618*j + 165
What is the k'th term of 8384, 17952, 27520?
9568*k - 1184
What is the x'th term of 199, 238, 347, 610, 1111, 1934, 3163?
14*x**3 - 49*x**2 + 88*x + 146
What is the s'th term of -99127, -99633, -100139, -100645, -101151?
-506*s - 98621
What is the z'th term of -34284, -72419, -110540, -148641, -186716, -224759, -262764, -300725?
z**3 + z**2 - 38145*z + 3859
What is the l'th term of -228, -1955, -6734, -16119, -31664, -54923, -87450, -130799?
-259*l**3 + 28*l**2 + 2*l + 1
What is the b'th term of -3854271, -3854201, -3854131?
70*b - 3854341
What is the m'th term of 5209, 5828, 6493, 7204, 7961, 8764?
23*m**2 + 550*m + 4636
What is the n'th term of -306554, -613131, -919708, -1226285, -1532862, -1839439?
-306577*n + 23
What is the z'th term of 20008, 40096, 60172, 80230, 100264, 120268?
-z**3 + 20095*z - 86
What is the x'th term of 34813921, 34813947, 34813991, 34814053, 34814133, 34814231?
9*x**2 - x + 34813913
What is the h'th term of 37756, 75509, 113254, 150991, 188720?
-4*h**2 + 37765*h - 5
What is the c'th term of 3167199, 6334389, 9501581, 12668775, 15835971, 19003169, 22170369?
c**2 + 3167187*c + 11
What is the g'th term of 200617308, 200617317, 200617332, 200617353, 200617380?
3*g**2 + 200617305
What is the a'th term of 688, 1419, 2216, 3109, 4128, 5303, 6664?
5*a**3 + 3*a**2 + 687*a - 7
What is the p'th term of -1371, -2650, -3931, -5214?
-p**2 - 1276*p - 94
What is the c'th term of -10982, -10978, -10980, -10994, -11026, -11082, -11168?
-c**3 + 3*c**2 + 2*c - 10986
What is the r'th term of -11689, -11883, -12077?
-194*r - 11495
What is the k'th term of 27222592, 27222586, 27222580, 27222574?
-6*k + 27222598
What is the l'th term of 108834433, 108834437, 108834455, 108834493, 108834557, 108834653?
l**3 + l**2 - 6*l + 108834437
What is the t'th term of -1591088, -3182261, -4773434?
-1591173*t + 85
What is the t'th term of 6628, 13055, 19328, 25453, 31436?
t**3 - 83*t**2 + 6669*t + 41
What is the v'th term of 5179, 7347, 6519, 2695, -4125?
-1498*v**2 + 6662*v + 15
What is the f'th term of -2120, -2435, -2742, -3041, -3332, -3615?
4*f**2 - 327*f - 1797
What is the i'th term of -367276742, -367276741, -367276740, -367276739, -367276738, -367276737?
i - 367276743
What is the z'th term of 464304, 1856420, 4176614, 7424886, 11601236?
464039*z**2 - z + 266
What is the m'th term of 4416, 8801, 13192, 17589, 21992, 26401, 30816?
3*m**2 + 4376*m + 37
What is the z'th term of 102180, 102215, 102250?
35*z + 102145
What is the r'th term of -32998, -131865, -296642, -527329?
-32955*r**2 - 2*r - 41
What is the s'th term of -61196, -121650, -182102, -242552, -303000?
s**2 - 60457*s - 740
What is the r'th term of 348808, 697647, 1046486, 1395325, 1744164?
348839*r - 31
What is the p'th term of 153, 417, 739, 1119, 1557?
29*p**2 + 177*p - 53
What is the i'th term of -295, -1060, -2225, -3706, -5419, -7280, -9205, -11110?
14*i**3 - 284*i**2 - 11*i - 14
What is the y'th term of -12, -7, 166, 645, 1568?
23*y**3 - 54*y**2 + 6*y + 13
What is the k'th term of 1720824, 1720838, 1720862, 1720902, 1720964, 1721054, 1721178, 1721342?
k**3 - k**2 + 10*k + 1720814
What is the b'th term of 630, 2242, 4832, 8406, 12970, 18530, 25092, 32662?
b**3 + 483*b**2 + 156*b - 10
What is the r'th term of -48277, -193104, -434493, -772444, -1206957?
-48281*r**2 + 16*r - 12
What is the s'th term of -80927, -161830, -242733, -323636, -404539, -485442?
-80903*s - 24
What is the b'th term of 19650, 16060, 10076, 1698, -9074, -22240, -37800?
-1197*b**2 + b + 20846
What is the w'th ter
|
{
"pile_set_name": "DM Mathematics"
}
|
.79 + -1.99. Let v = -11/20 - -4/5. Which is the second biggest value? (a) v (b) 1/5 (c) g
b
Let b = -6 - -1. Let h = -35.5 + 36. What is the second biggest value in b, -4/5, h?
-4/5
Let p = -0.88 - 0.12. Which is the third biggest value? (a) 1/3 (b) p (c) -4
c
Let g = 2.8 + -3.2. Which is the third biggest value? (a) g (b) -6/7 (c) 0
b
Let h = -1272/7 - -182. Which is the smallest value? (a) 2 (b) 0.2 (c) h (d) -3/7
d
Let i be 111/(-8)*(-2)/(-3). Let m = 40652 + -1463147/36. Let j = i + m. Which is the third smallest value? (a) -2/3 (b) 3 (c) j
b
Let m = -8 + 3. Let n be (3/(-2))/(3/(-4)). Suppose 13*l = 12*l - 4. What is the third biggest value in l, n, m?
m
Let d be 18/(-30) - 123/(-5). Suppose -5*r = 3*o + 2 + 15, 4*r = -5*o - d. Which is the third biggest value? (a) -4/5 (b) -1/2 (c) r
c
Let v(x) = x**3 + 11*x**2 + 9*x - 15. Let f be v(-10). Which is the smallest value? (a) -0.1 (b) 3 (c) f (d) 5
c
Suppose -4*x + 24 = -4*s, -4*x - 4*s - 15 = x. What is the second smallest value in x, -3, 11?
x
Let u = 16 - 15.8. Which is the biggest value? (a) 3 (b) u (c) 0.1
a
Let y be ((-28)/21)/(10/(-6)). Let k = -1 - -4. What is the smallest value in k, 2, y?
y
Let m = 62 - 60. Which is the third biggest value? (a) -3 (b) m (c) 4 (d) 1/8
d
Let b = 4/37 - -95/148. Let t = 11 + -6. Let c = 3.92 + 0.08. What is the third biggest value in t, c, b?
b
Let n = -8.7 - -9.29. Let k = n + -0.19. Suppose -3*o = 2*o + 20. What is the smallest value in k, o, 1?
o
Let w = 0.02 - 4.02. Let n = 0 - 1. Let d = n + 1.1. Which is the second smallest value? (a) w (b) -0.5 (c) d
b
Let w = -1/39 + 9/13. What is the fourth biggest value in w, -2, 5, 0.4?
-2
Suppose 0 = -5*j + 6*j - 4*k + 5, k = 5*j + 25. Let u = 4 + -3.6. What is the second smallest value in u, 2, j?
u
Let q be (-1)/(-2) + 2/(-12). Let k = -16 + 16. What is the second biggest value in k, q, 1/4?
1/4
Let h be (-7)/28*(-16)/26. Let a be (6/(-72))/((-2)/6). What is the biggest value in -4/7, a, h?
a
Let f = -30 + 31. Which is the fourth biggest value? (a) 0.5 (b) f (c) -1 (d) -4
d
Let b = -4.615 - -0.015. Let j = -5 - b. Let q be (-10)/(-25)*(-20)/44. What is the second biggest value in -2, q, j?
j
Let f be (-6)/4*10/6. Which is the third smallest value? (a) f (b) -3 (c) 3
c
Let r = 84 + -84.3. Which is the fourth biggest value? (a) 0.2 (b) 0 (c) -1 (d) r
c
Let k = -17 - -17.9. Let h = 0.7 - k. Which is the second biggest value? (a) -2 (b) -0.5 (c) h
b
Let t = 391/5 - 78. What is the second biggest value in -0.1, t, -1?
-0.1
Let t = 208 + -208.4. What is the third smallest value in t, -0.1, 5, 4?
4
Suppose 5*s - 3 - 7 = 0. Let x = -2 - s. What is the second biggest value in x, -0.3, -1?
-1
Suppose q = -3*w + 4*q - 417, -20 = 4*q. Let k be 4/w - 4/18. What is the biggest value in k, -2/21, 0?
0
Suppose 10 - 2 = 2*p. Let y = -0.03 - -0.07. Which is the second smallest value? (a) 1/10 (b) p (c) y
a
Suppose 5*m + 5 = 4*s, 4*m + 5*s + 4 = -0. Let k be (3 - (-5 + 3)) + m. Which is the third smallest value? (a) -4 (b) k (c) -1/7
b
Let d = 1.2 + -1. Which is the third smallest value? (a) d (b) 0.4 (c) -1
b
Let z = 0.1 - 0.1. Let o = -20 + 35. Let s = o - 14. What is the second smallest value in z, 2, s?
s
Let v be (13/(-65))/((-3)/10). Which is the second biggest value? (a) -5 (b) v (c) 0.35
c
Let i = -0.29 + -1.91. Let v = 0.2 + i. Let u = v + 2.2. What is the third biggest value in 3/2, -5, u?
-5
Let s = 3.5 - 3.4. Let m = 1 + -3. Let j = -7 + 4. Which is the third biggest value? (a) m (b) j (c) s
b
Suppose -6*t + 2*t = 0. Suppose 0 = -2*u + 4*u, 5*o - 2*u + 5 = t. Which is the third biggest value? (a) o (b) -0.3 (c) 2/7
a
Let z be (-6)/(0/1 - 1). Which is the second smallest value? (a) z (b) -0.7 (c) -2/3
c
Let j = 52 + -207/4. Let n = 4.8 - 4.7. What is the smallest value in j, n, -0.2?
-0.2
Let w = -10 + 3. Let q = w - -9. Which is the third smallest value? (a) 0.1 (b) q (c) 0.3
b
Let f = -39 - -34. Let j(c) = c**3 + 6*c**2 + 3*c - 6. Let i be j(f). Let s = 0 + 1. What is the third smallest value in i, -2, s?
i
Let v = 12 - 11.95. What is the third biggest value in -5, v, 1?
-5
Let g be 13/(-3) - 1/(-3). Let r be (-6)/(-27) - (-60)/(-27). Let j be -23*r/18 - 3. What is the third biggest value in g, j, 0.2?
g
Let g = 10 + -5. Let y = -6 + g. What is the smallest value in y, 2/13, -2/9?
y
Let a = 1 + -0.99. Let s = a - -4.99. What is the second smallest value in s, -3, 3/4?
3/4
Let x be (-45)/6*2/3. Which is the smallest value? (a) 2 (b) x (c) 5
b
Let m = -5 + 4.89. Let h = m + 0.01. Which is the third smallest value? (a) 0.4 (b) h (c) 2
c
Let y = -14 - -14.01. Let f = 0.09 + y. Which is the biggest value? (a) 2/9 (b) -5 (c) f
a
Let w(j) = -j**2 - 5*j + 3. Let q be w(3). Let y be (-22)/(-28) + 6/q. Which is the biggest value? (a) 5 (b) y (c) -3/7
a
Let m be ((-34)/(-765))/((-1)/5). What is the third smallest value in -0.3, 0.3, 2, m?
0.3
Let w be (-1 + 4)/((-21)/2). Let p = 13 + -19. Let c = -5 - p. What is the smallest value in c, w, -0.5?
-0.5
Let q = 0.7 - 0.5. Suppose 16 = -2*r - 4*y - 0, 2*y + 14 = -4*r. What is the second biggest value in -1, r, q?
-1
Let a = -38 - -37.8. Let m(k) = -k - 6. Let s be m(-7). What is the smallest value in 0, s, a?
a
Let g = -3 + 2.9. Let r = 0 - g. Let u = 0.27 - 0.57. Which is the smallest value? (a) r (b) -1 (c) u
b
Let i(r) = r**3 + 2*r**2 + 2*r. Let f be i(-2). Let s = -0.104 + -2.896. Which is the third biggest value? (a) 2 (b) f (c) s
b
Suppose -3*y + 5*t = t + 17, 0 = -y + 3*t - 4. Let v = 3 + y. Which is the third biggest value? (a) -1/3 (b) -2/5 (c) v
c
Let s = 29 - 27. Which is the second biggest value? (a) s (b) 0.5 (c) -3 (d) -0.2
b
Let o = -2 + 1. Let k = 3.08 + -0.08. Let n = o + k. What is the smallest value in n, 1/5, -2?
-2
Let b = -2.5 - -2. Let r = b + 0. Let w = -0.6 - r. What is the biggest value in -4, w, 0.1?
0.1
Suppose 0 = -2*t + 5*t. Let u = -163336 + 2121667/13. Let w = 131 + u. What is the third smallest value in w, t, 1/2?
1/2
Let k = 7 - 16. Let i = k + 9. Let y = -6 + 4. Which is the third biggest value? (a) i (b) y (c) 2/15
b
Let k = 4 + -8. Let x be (-2)/11 + k/(-22). Suppose x = r - 0*r. What is the biggest value in -0.3, r, -1?
r
Suppose 9*s = 4*s + 3*f - 10, 25 = -4*s - f. Which is the third smallest value? (a) 0 (b) -1 (c) s
a
Let w = 0.108 - 0.008. What is the second biggest value in 2, 4, -5, w?
2
Let z = 3 + -2.5. Let x = z - 0.9. Let y be 0/2 + (1 - 0). What is the smallest value in 3, y, x?
x
Let h(g) = g**2 - 6*g + 3. Let u be h(6). Let f(p) = p**3 - 3*p**2 + 2. Let q be f(u). Let s be 20/6 - q/6. What is the second smallest value in -2, -1, s?
-1
Let o = -1.7 - -2. Let x = 36 + -41. Which is the smallest value? (a) 2 (b) o (c) x
c
Let i = -0.2 - 0.3. Let q = -42 + 42. Which is the third biggest value? (a) q (b) -0.3 (c) i
c
Let g(u) = -u**2 + 6*u + 2. Let p be g(6). What is the biggest value in 1/7, 1/8, 3, p?
3
Let s = -16.3 - -17. Let j = s + -0.7. Let p be ((-6)/20)/((-24)/20). What is the third biggest value in p, -0.3, j?
-0.3
Let f = -1.78 - 0.39. Let s = -0.17 - f. What is the smallest value in -1, s, 0.5?
-1
Let l = -0.4 + 0.2. Let q = 1/140 + 39/140. What is the second biggest value in 3, l, q?
q
Let x = 253/36 - 29/4. Let l be 46/6 - 1/(-3). Let j = -13 + l. What is the second smallest value in 5/4, j, x?
x
Let k = 2.05 - 2. Let b = -0.35 - k. Let z = b - 0. What is the smallest value in 0, z, -3/5?
-3/5
Let d be 1/((-4)/(-2) + 1). Let z = 467/5 + -93. Which is the third smallest value? (a) d (b) 3 (c) z
b
Let o = 0.3 - -0.2. Let c = -17 + 21.4. Let p = -4 + c. What is the third biggest value in o, -3, p?
-3
Suppose 22 = -7*y - 27. Which is the second smallest value? (a) -1/3 (b) -3 (c) y
b
Let w = 7 - 5. Let b = -27 - -28. What is the third biggest value in b, -2, w?
-2
Let f(v) = -v**3 - 3*v**2 + 4*v + 1. Let w be f(-4). Let i be (-21)/28 - w/(-1). Which is the biggest value? (a) i (b) 4 (c) 1/12
b
Let i = 1.8 - 3.8. What is the third biggest value in -4/5, 5, -5, i?
i
Let y = 11 + -11.2. What is the smallest value in y, 3, -2?
-2
Let b be 6/24 - 0/1. What is the second biggest value in b, 2, -2/3, -1?
b
|
{
"pile_set_name": "DM Mathematics"
}
|
?
132
What is the eighth root of 285709 to the nearest integer?
5
What is 286126 to the power of 1/2, to the nearest integer?
535
What is 1458756 to the power of 1/5, to the nearest integer?
17
What is 905934 to the power of 1/5, to the nearest integer?
16
What is 3159166 to the power of 1/7, to the nearest integer?
8
What is 2337627 to the power of 1/2, to the nearest integer?
1529
What is the square root of 1745636 to the nearest integer?
1321
What is the square root of 180639 to the nearest integer?
425
What is 38810 to the power of 1/3, to the nearest integer?
34
What is 17834245 to the power of 1/2, to the nearest integer?
4223
What is 31017682 to the power of 1/7, to the nearest integer?
12
What is the sixth root of 1203259 to the nearest integer?
10
What is the third root of 172745 to the nearest integer?
56
What is 905746 to the power of 1/7, to the nearest integer?
7
What is 3363586 to the power of 1/2, to the nearest integer?
1834
What is the third root of 1679426 to the nearest integer?
119
What is the fourth root of 9714153 to the nearest integer?
56
What is the cube root of 32075909 to the nearest integer?
318
What is the eighth root of 517125 to the nearest integer?
5
What is 35234 to the power of 1/2, to the nearest integer?
188
What is 570659 to the power of 1/2, to the nearest integer?
755
What is the fifth root of 8436653 to the nearest integer?
24
What is the square root of 151597 to the nearest integer?
389
What is 8277071 to the power of 1/3, to the nearest integer?
202
What is 66243 to the power of 1/4, to the nearest integer?
16
What is 298908 to the power of 1/3, to the nearest integer?
67
What is the sixth root of 67529 to the nearest integer?
6
What is the square root of 3925912 to the nearest integer?
1981
What is 12477531 to the power of 1/5, to the nearest integer?
26
What is the third root of 8142282 to the nearest integer?
201
What is 208128 to the power of 1/2, to the nearest integer?
456
What is the seventh root of 464980 to the nearest integer?
6
What is the fourth root of 121036 to the nearest integer?
19
What is 303325 to the power of 1/8, to the nearest integer?
5
What is the ninth root of 1858882 to the nearest integer?
5
What is the sixth root of 2865866 to the nearest integer?
12
What is 278006 to the power of 1/5, to the nearest integer?
12
What is the square root of 3775976 to the nearest integer?
1943
What is the square root of 19638193 to the nearest integer?
4432
What is the fourth root of 5570731 to the nearest integer?
49
What is 147538 to the power of 1/2, to the nearest integer?
384
What is the cube root of 882773 to the nearest integer?
96
What is 21672650 to the power of 1/3, to the nearest integer?
279
What is the eighth root of 1708300 to the nearest integer?
6
What is the square root of 269231 to the nearest integer?
519
What is 8179037 to the power of 1/9, to the nearest integer?
6
What is 204721 to the power of 1/3, to the nearest integer?
59
What is 35860972 to the power of 1/2, to the nearest integer?
5988
What is the cube root of 20129045 to the nearest integer?
272
What is the square root of 4659952 to the nearest integer?
2159
What is 5808366 to the power of 1/2, to the nearest integer?
2410
What is the square root of 1362841 to the nearest integer?
1167
What is the cube root of 86211 to the nearest integer?
44
What is 25974 to the power of 1/2, to the nearest integer?
161
What is the cube root of 989849 to the nearest integer?
100
What is the tenth root of 5013522 to the nearest integer?
5
What is the third root of 6241110 to the nearest integer?
184
What is the square root of 5280036 to the nearest integer?
2298
What is the fourth root of 617175 to the nearest integer?
28
What is 1660699 to the power of 1/2, to the nearest integer?
1289
What is 12352116 to the power of 1/9, to the nearest integer?
6
What is 47569 to the power of 1/2, to the nearest integer?
218
What is 4241865 to the power of 1/3, to the nearest integer?
162
What is 8558182 to the power of 1/3, to the nearest integer?
205
What is 95906 to the power of 1/2, to the nearest integer?
310
What is 7053451 to the power of 1/3, to the nearest integer?
192
What is 378619 to the power of 1/7, to the nearest integer?
6
What is the square root of 30187853 to the nearest integer?
5494
What is the sixth root of 7775269 to the nearest integer?
14
What is the cube root of 730027 to the nearest integer?
90
What is the square root of 256702 to the nearest integer?
507
What is the fourth root of 759747 to the nearest integer?
30
What is 20417041 to the power of 1/2, to the nearest integer?
4519
What is the square root of 370370 to the nearest integer?
609
What is the cube root of 965031 to the nearest integer?
99
What is the third root of 2295820 to the nearest integer?
132
What is 407119 to the power of 1/3, to the nearest integer?
74
What is the square root of 96170 to the nearest integer?
310
What is the square root of 4951237 to the nearest integer?
2225
What is 21259599 to the power of 1/3, to the nearest integer?
277
What is the third root of 285781 to the nearest integer?
66
What is the square root of 6181490 to the nearest integer?
2486
What is the fifth root of 336851 to the nearest integer?
13
What is 1205162 to the power of 1/5, to the nearest integer?
16
What is the square root of 36843206 to the nearest integer?
6070
What is the cube root of 367401 to the nearest integer?
72
What is the tenth root of 5150783 to the nearest integer?
5
What is the cube root of 179695 to the nearest integer?
56
What is the cube root of 507329 to the nearest integer?
80
What is 30941251 to the power of 1/10, to the nearest integer?
6
What is 28343 to the power of 1/5, to the nearest integer?
8
What is the ninth root of 6356532 to the nearest integer?
6
What is the fifth root of 104243 to the nearest integer?
10
What is 5647424 to the power of 1/3, to the nearest integer?
178
What is the cube root of 918245 to the nearest integer?
97
What is the third root of 116568 to the nearest integer?
49
What is the cube root of 4368215 to the nearest integer?
163
What is 397326 to the power of 1/2, to the nearest integer?
630
What is 44029 to the power of 1/3, to the nearest integer?
35
What is 907709 to the power of 1/3, to the nearest integer?
97
What is the cube root of 109658 to the nearest integer?
48
What is 14355272 to the power of 1/2, to the nearest integer?
3789
What is 12634250 to the power of 1/9, to the nearest integer?
6
What is 825617 to the power of 1/2, to the nearest integer?
909
What is the third root of 141695 to the nearest integer?
52
What is 469951 to the power of 1/3, to the nearest integer?
78
What is 867998 to the power of 1/10, to the nearest integer?
4
What is the cube root of 1249182 to the nearest integer?
108
What is 84595 to the power of 1/6, to the nearest integer?
7
What is the eighth root of 32022028 to the nearest integer?
9
What is 727171 to the power of 1/2, to the nearest integer?
853
What is 7860135 to the power of 1/5, to the nearest integer?
24
What is the third root of 539784 to the nearest integer?
81
What is 931116 to the power of 1/10, to the nearest integer?
4
What is the third root of 74584 to the nearest integer?
42
What is the square root of 121734 to the nearest integer?
349
What is 818939 to the power of 1/2, to the nearest integer?
905
What is the square root of 258799 to the nearest integer?
509
What is the cube root of 55749 to the nearest integer?
38
What is 1979575 to the power of 1/7, to the nearest integer?
8
What is the ninth root of 197956 to the nearest integer?
4
What is 14435661 to the power of 1/2, to the nearest integer?
3799
What is the third root of 38115312 to the nearest integer?
337
What is the third root of 13373946 to the nearest integer?
237
What is 35308308 to the power of 1/9, to the nearest integer?
7
What is the third root of 6479034 to the nearest integer?
186
What is 1549270 to the power of 1/3, to the nearest integer?
116
What is 477185 to the power of 1/3, to the nearest integer?
78
What is 227657 to the power of 1/2, to the nearest integer?
477
What is the square root of 23936 to the nearest integer?
155
What is the third root of 53123 to the nearest integer?
38
What
|
{
"pile_set_name": "DM Mathematics"
}
|
(-15)*(14 + -2). What is the units digit of (m/(-20))/((-1)/70)?
8
Let x(r) = -r - 9. Let z(y) = 2*y + 10. Let h(o) = 3*x(o) + 2*z(o). Let a be h(3). What is the units digit of 3/((-3)/a*2)?
2
Let w(f) = -50*f**2 - 14*f + 24. Let v be w(12). What is the tens digit of v/(-90) + ((-2)/(-5))/1?
8
Suppose 0 = 2*p + 11*a - 10*a - 7454, 4*a = 4*p - 14884. What is the units digit of p?
5
Let u(k) = 438*k**2 + k - 2. What is the units digit of u(1)?
7
Let v = 8094 + -5213. What is the thousands digit of v?
2
Suppose -3*v = 3*k - 8*v - 8594, 5*v = 25. What is the thousands digit of k?
2
Let j(a) be the third derivative of -a**5/12 + a**4/6 - 7*a**3/6 + 4*a**2. Let b(p) be the first derivative of j(p). What is the units digit of b(-2)?
4
Let f = 4 - 4. Suppose g - u = 3, g - 14 = -2*g - 2*u. Suppose -g*k + 0*k + 28 = f. What is the units digit of k?
7
Let t(z) = 2*z + 16. Let q be (7/(-2))/(-5*(-8)/80). What is the units digit of t(q)?
2
Suppose 750 = -2*o - 140. Let w = o - -715. What is the hundreds digit of w?
2
Suppose 14312 = -18*l + 21*l + 4*u, -4*u = -3*l + 14296. What is the thousands digit of l?
4
Suppose 333 = 2*m + m + 2*w, -4*w = 2*m - 222. What is the units digit of m?
1
Suppose -4*a = a + 10. Let r be 24/10 - (-11)/((-220)/8). What is the units digit of (3 + a)*(r - -37)?
9
Suppose -126 = -4*p + 758. Let q = -85 + p. What is the hundreds digit of q?
1
Let a(v) be the third derivative of -v**4/6 + v**3 - 8*v**2. Let u be a(3). Let q(z) = z**3 + 6*z**2 - 7*z - 3. What is the tens digit of q(u)?
3
Let v(x) = 4*x**2 - 21*x - 59. What is the tens digit of v(-4)?
8
Suppose 0 = h - 1 + 22. Let n = h - -24. Suppose k = n*k - 4. What is the units digit of k?
2
Let s(i) = -i**3 - i**2 + i + 191. Suppose -2*f - 4 = -t + 2, f + 3 = 4*t. Let o be s(t). Suppose 127 = 6*r - o. What is the units digit of r?
3
Let r = 3 - -1. Let f = 261 - 163. Suppose -r*d + f = 14. What is the units digit of d?
1
Let y = 11 + 2. Suppose y*h - 15*h = -2. What is the units digit of h?
1
Suppose 0*p + 3*p - 93 = 0. Suppose 2*l - l = -5, 3*b - 5*l = p. Suppose 0 = 2*m + 2*j - 50, -2*m + b*j + 41 = -29. What is the units digit of m?
0
Let w(o) = -9*o - 19. Let a(s) = -9*s - 19. Let n(i) = -6*a(i) + 7*w(i). What is the units digit of n(-8)?
3
Suppose -5*i - 2*c + 6023 = 0, 13*i - 17*i - 5*c + 4832 = 0. What is the hundreds digit of i?
2
Let p(n) = -8*n**2 - 20*n**3 + 45*n**3 - 5*n - 26*n**3 + 6. What is the tens digit of p(-8)?
4
Let g(s) = 3 - 83*s + 75*s + 5*s**2 + s**3 - 3*s**2. What is the units digit of g(4)?
7
Let t = 8 - 3. Suppose -y - 5*g + 22 = -6*g, 3*y = -t*g + 50. Suppose 4*a = -16, -2*m + y = a + 3*a. What is the units digit of m?
8
Let w = -19 + 29. Suppose -w = -3*u + 2, 4*c = -2*u + 256. What is the units digit of c?
2
Let b = 3655 - 1992. What is the tens digit of b?
6
Let n be ((-1)/4*2)/((-2)/116). Let c = n + 49. What is the tens digit of c?
7
Let l be (2*(-36)/8)/1. Let c be 2/((-3)/l + 0). What is the units digit of (1 - 6)/(c/(-24))?
0
Let d = -11 + 19. Suppose -d*b + 3*b + 2*c - 4 = 0, 2*b + 6 = 3*c. Suppose b = 2*m - 6, -4*t + 36 + 89 = 3*m. What is the tens digit of t?
2
Let f = 2442 - 1655. What is the tens digit of f?
8
Suppose -3*c + 1054 = 2*c - 3*z, 414 = 2*c - 5*z. What is the units digit of c?
2
Suppose 2*g = 3*d + 66, 0 = 2*g - 5*d - 41 - 25. What is the units digit of (482/12 + (-22)/g)*4?
8
Suppose 2*t - 6*t + 44 = -3*w, -4*w - 4*t = 96. Let n = w - -30. What is the units digit of n?
0
Let j = 11 + -8. Suppose -j*r + 15 = -5*w, 7*r - 3*r - 20 = -3*w. What is the units digit of r?
5
Let l(j) = -41*j**2 + 2*j - 4. Let t(z) = 1. Let k(x) = -l(x) - 3*t(x). What is the units digit of k(1)?
0
Let s(m) be the third derivative of 11*m**4/12 + 17*m**3/6 - 10*m**2 - 1. What is the tens digit of s(3)?
8
Suppose 15 = -5*j + 135. Suppose -5*m - 2*i = -81, 0*m + 2*m - 2*i = j. Let y = -9 + m. What is the units digit of y?
6
Let z = -34 + 33. What is the units digit of ((-24)/(-60))/(z/(-35))?
4
What is the thousands digit of (-61460)/(-26) - (-5 + (-441)/(-91))?
2
Let y(h) = 8*h**2 + 62*h - 125. What is the tens digit of y(17)?
4
Suppose 4*o = -4*i + 2*i - 12, 0 = -2*i - 3*o - 9. Suppose b + v = -i*b + 16, 4*b = -2*v + 60. What is the tens digit of b?
1
Suppose 0 = 20*a + 5540 - 27540. What is the tens digit of a?
0
Suppose -4*f + 8 = -0*f + 4*m, 0 = f - 5*m + 10. Suppose -p - 13 = 2*v - 3*v, f = -v + 5*p + 9. What is the units digit of v?
4
Suppose 254 + 263 = q. Let u = q + -273. What is the tens digit of u?
4
Suppose 4*v = 2*y + 8, 2*v - 4*y = 2 + 2. Let r(g) = -10 + 8*g**2 - 7*g**3 + 4*g**v + g + 6*g**3. What is the units digit of r(12)?
2
Let y(i) = i**3 - 24*i**2 + 25*i - 37. Suppose -78 = 6*d - 216. What is the units digit of y(d)?
9
Let p(z) = -3*z + 17. Let w be p(-5). Suppose h + w = 44. What is the units digit of h?
2
Let h(k) = 42*k**2 + 17*k + 18. What is the units digit of h(-4)?
2
Let t be ((-612)/10)/((-6)/20). Let o be (t/8)/3*6. Suppose 3*s = 5*s - 5*a - o, 64 = 3*s - 5*a. What is the tens digit of s?
1
Suppose 4*o - 5*v = 2885, 9*v = -2*o + 14*v + 1445. What is the units digit of o?
0
Let m be (-9 + 2)*(-2 + 25). What is the tens digit of 12/36 - m/3?
5
Suppose c + 319 = -j, -4*c + 643 = -6*c - 3*j. Let z = -114 - c. What is the hundreds digit of z?
2
Let i(s) = 10 + 2*s**3 - 3*s**3 + 16*s + 14*s**2 + 0*s**3 - 17. What is the units digit of i(15)?
8
Let j(l) = l**2 + 12*l + 31. Let n be j(-9). Suppose -g = n*d - 140, 0*d + 590 = 4*g + d. What is the tens digit of g?
4
Let x = 2 + -2. Suppose x*w = 4*w - 88. Suppose 88 = 5*c - w. What is the units digit of c?
2
Let j(f) = -14 + 4 + 15*f + 5. What is the tens digit of j(3)?
4
Let g(o) = 128*o - 262. What is the thousands digit of g(14)?
1
Suppose r + 7*h + 6 = 4*h, 5*h = -5*r - 60. Let s = r - -15. What is the tens digit of -1 - (-30 + s/3)?
2
Suppose -3*h + 0*f - 3*f = 24, 3*h + 10 = 4*f. What is the units digit of (33/h + 4)/((-3)/6)?
3
Suppose -26*d + 12 = -22*d. What is the tens digit of ((25 - 4) + d)/(1 - 0)?
2
Suppose -3*o + 2 = -2*x, 5*o = -5*x - 0 - 30. Let d be o/(-6) - (-884)/39. Suppose 5*y + 0*c - 2*c - d = 0, -3 = 3*y + 3*c. What is the units digit of y?
3
Let k(p) = 3*p - 8. Let g(z) = 2*z - 8. Let d(s) = -4*g(s) + 3*k(s). Let h be d(4). Suppose -2*c - c = 4*r - 40, -3*c = -h. What is the units digit of r?
7
Let y(f) = 11*f**2 - 367*f - 46. What is the units digit of y(40)?
4
Suppose -17398 = -38*r + 17448. What is the units digit of r?
7
Suppose -c = -5 + 1. Suppose -605 = -c*w - w. What is the tens digit of w?
2
Suppose b - 407 = -2*b + j, -b + 149 = -3*j. Suppose -5*i - b = -5*t - 4, 5*t = 2*i + 136. What is the units digit of t?
8
Let l(v) be the third derivative of v**6/120 - v**5/60 - v**4/24 + 5*v**3/3 - 2*v**2. Let b be l(0). What is the units digit of (-5)/25 - (-72)/b?
7
Suppose z + 2*a = 563, 46*z - 47*z + 591 = -5*a. What is the tens digit of z?
7
Suppose -3*v = 3*p + 15, 0 = -13*v + 16*v - 3*p - 9. Let w(i) = i**2 - 4*i - 2. Let l be w(4). Let c = v - l. What is the units digit of c?
1
Let m(g) be the second derivative of g**3/6 - 3*g**2 + 3*g. Let u be m(8). What is the tens digit of (-1 + u)/((-2)/(-30))?
1
Suppose 2*n + 517 = 2299. What is the tens digit of n?
9
Let p(f) = 8*f**2 - 49*f - 2. What is the tens digit of p(20)?
1
Let s = 84 - 67. Suppose 2*u - 3667 = -s*u. What is the tens digit of u?
9
Let p = -1874 + 2725. What is the units digit of p?
1
Let j(h) = -h. Let w be j(-4). Suppose 35 = w*t - 17. Let y = -7 + t. What is the units digit of y?
6
Let b(x) be the third derivative of x**5/4 - x**4/24 - 4*x**3/3 - 18*x**2. What is the hundreds digit of b(4)?
2
Let d(o) be the second derivative of o**3/3 + o**2 + 3*o. Let a be d(-1). Suppose y + a*y = 5*u + 59, -85 = -2*y - u. What is the units digit of y?
4
Suppose 1764 = v - 5*m, 6*v - 8874 = v - 2*m. What is the tens digit of v?
7
Let t(j) = j**2 - j + 1. Let h be t(0). Suppose 3*m = d + h, 0*d = d + 4*m - 13. Suppose -4 = -3*w + d. What is the units digit of w?
3
Suppose 5*t - 5*f - 25 = -f, -3*t + 2*f = -15. Suppose l = 4, p - 2*l + 112 = t*p. What is the units digit of p?
6
Let m(v) = -v**2 - v - 1. Let h be m(-3). Let q = -31 - -49. Let o = q + h. What is the tens digit of o?
1
Let m be 2382/2
|
{
"pile_set_name": "DM Mathematics"
}
|
281. Let b(d) = 5*d + 284. What is 4*b(t) + 3*l(t)?
2*t + 293
Let l(v) = -26*v**3 - 5*v + 5. Suppose 0 = -110*i + 133*i - 2852. Let x(t) = -651*t**3 - 124*t + 124. Give i*l(g) - 5*x(g).
31*g**3
Let f(u) = 4*u. Let t(n) = 19 + 2*n - 1 + 16 + 0*n. Let p be t(-19). Let b(c) = -5*c. Suppose -13 = 4*r - 1. Give p*f(k) + r*b(k).
-k
Let x(z) = -2*z + 93. Let c(f) = -12*f + 746. Let l(y) = c(y) - 8*x(y). Let i be 5/(-1*1)*1. Let q(n) = 4*n + 3. Calculate i*l(j) + 4*q(j).
-4*j + 2
Let z(q) = 9*q - 4. Let f = 713 + -718. Let o(l) = 8*l - 4. Calculate f*z(x) + 6*o(x).
3*x - 4
Let p(m) = 308*m. Let a(f) = -385*f - 99. Let o(q) = -12*q - 3. Let x(t) = -4*a(t) + 132*o(t). Give -3*p(c) - 22*x(c).
44*c
Let c(t) = -45*t - 5. Let i(w) = 168*w + 21. Calculate -15*c(u) - 4*i(u).
3*u - 9
Let k(u) be the second derivative of -u**3/2 + u**2 + 3350*u. Let g(h) be the second derivative of 2*h**3/3 - 3*h**2/2 - 2*h. What is 5*g(i) + 6*k(i)?
2*i - 3
Let y(h) = 12*h**3 + 28*h**2 + 2*h + 8. Let x(c) = -5*c**3 - 14*c**2 - 4. Determine 5*x(b) + 2*y(b).
-b**3 - 14*b**2 + 4*b - 4
Let j(n) = 9*n**3 - 6*n**2 - 6*n + 12. Let y(b) = -b**3 + b**2 + b - 1. Let q be -3 - (1/(((-12)/27)/4))/1. Determine q*y(s) + j(s).
3*s**3 + 6
Let x = -112 - -101. Let d(f) = -23*f + 5. Let o(p) = 8*p. Let z(q) = 1. Let i(u) = -o(u) + 2*z(u). What is x*i(r) + 4*d(r)?
-4*r - 2
Let p(o) = 2*o - 2. Let n be p(3). Let f(s) = 82*s - 1. Let m(x) = -33*x + 1. Let u(z) = -2*f(z) - 5*m(z). Let j(v) = 2*v - 6. Calculate n*j(d) - 7*u(d).
d - 3
Let h(x) = -33*x**2 + 1013. Let m(l) = 83*l**2 - 2028. Calculate 5*h(n) + 2*m(n).
n**2 + 1009
Let b(f) = 6*f + 16. Let t(n) = -132 - 6*n + 127 + 4*n. Suppose 28 = 5*x + 78. Let w(d) = -d**3 - 10*d**2 - 3. Let p be w(x). Give p*b(m) - 10*t(m).
2*m + 2
Let b(y) = -y + 1. Let l(i) = -33*i + 4. Suppose -63*f + 1 = c - 62*f, -3*c - 3 = 5*f. Give c*b(n) - l(n).
29*n
Let f(p) = 8*p + 4. Let u(c) = 54*c + 3 - 95*c + 49*c. Suppose 0 = 3*l - 6*g + 5*g - 13, 3*l = 3*g + 21. Determine l*u(j) - 2*f(j).
8*j + 1
Let g(q) be the first derivative of -7*q**4/4 - 35*q**3/3 + 5*q**2/2 + 1809. Let c(d) = -4*d**3 - 18*d**2 + 3*d. Determine -5*c(a) + 3*g(a).
-a**3 - 15*a**2
Suppose 0 = 5*k - 0*k + 5*u - 5, 5*k = u + 11. Let j(o) = 3*o + 2. Let m(w) = 8 + 2*w + 10 - 15. Calculate k*m(v) - 3*j(v).
-5*v
Let g(i) be the second derivative of -i**3/3 + 7*i**2/2 + i. Suppose 2*z = -3 + 13. Let n(w) = 80 - 181 + 95 + 2*w. Give z*g(x) + 6*n(x).
2*x - 1
Suppose 295*y - 299*y = -20. Let r(i) = -2*i - 3*i**3 - 121*i**2 + 74*i**2 + 52*i**2. Let f(k) = 4*k**3 - 6*k**2 + 0*k**3 + 0*k**2 + 3*k. Give y*r(b) + 4*f(b).
b**3 + b**2 + 2*b
Let p(w) = -20*w**2 - 6*w - 14. Suppose -3*u - 17 + 33 = -2*z, u + 3*z = 9. Let m(c) = 7*c**2 + 2*c + 5. Calculate u*p(r) + 17*m(r).
-r**2 - 2*r + 1
Let v be (-1)/(3 - 7/2) + 1. Let s(z) = -12*z - 2 + 0 + 11*z + v. Let f(u) = 8 + 5*u - 5 - 1 - 6. Determine -f(g) - 6*s(g).
g - 2
Let y(g) = -1847*g + 3694. Let u(w) = -w**3 + w - 2. Give -3694*u(a) - 2*y(a).
3694*a**3
Let w(j) = 120*j**2 - 22*j + 22. Let p(g) = 17*g**2 - 3*g + 3. Let k = 5962 - 5968. Determine k*w(h) + 44*p(h).
28*h**2
Let j(z) = -4*z**2 + 2*z. Let r(m) = 21*m**2 - 11*m. Let o(d) = 2*d**3 - d**2 + 1. Let q be o(-1). Suppose -11*f = -8*f + 33. Give f*j(t) + q*r(t).
2*t**2
Let g(m) = -31*m**3 - 2*m**2 - 21*m + 1. Let r(q) = 33*q**3 + 3*q**2 + 22*q - 1. Determine 3*g(k) + 2*r(k).
-27*k**3 - 19*k + 1
Let h(o) = -1225*o - 59. Let k(s) = 613*s + 24. What is -2*h(y) - 5*k(y)?
-615*y - 2
Let o(l) = 10*l - 3. Let i = 3884 + -3885. Let f(b) = b. Calculate i*o(w) + 5*f(w).
-5*w + 3
Let w(p) be the second derivative of 3*p**5/20 + p**4/2 - 20*p**3/3 - 2*p**2 - 3*p - 222. Let n(c) = 8*c**3 + 17*c**2 - 119*c - 11. Determine 4*n(f) - 11*w(f).
-f**3 + 2*f**2 - 36*f
Let i(g) = 4*g**3 + 36*g**2 + 22*g + 7. Let n(a) = 2*a**3 + 18*a**2 + 13*a + 4. Determine 3*i(j) - 5*n(j).
2*j**3 + 18*j**2 + j + 1
Suppose 0 = -4*r + 2*f + 32, 0 = 4*r - 7*f + 10*f - 2. Let j(a) = -3*a**3 - 5*a**2 + 18*a - 2. Let q(y) = -y**3 - 2*y**2 + 9*y - 1. Calculate r*q(i) - 2*j(i).
i**3 + 9*i - 1
Let p(h) = -9*h + 3. Let m(b) = 20*b - 13. Let l(v) = -30*v + 20. Let d = -344 + 349. Let u(z) = d*l(z) + 8*m(z). What is -6*p(i) - 5*u(i)?
4*i + 2
Let u(x) = 10*x**3 - 1546*x**2 + 8. Let i(k) = -2*k**3 - 2. Give 4*i(f) + u(f).
2*f**3 - 1546*f**2
Let n(h) = -5*h**3 + 2*h**2 - 8*h + 96. Let v(r) = -10*r**3 + 5*r**2 - 20*r + 193. Give 5*n(l) - 2*v(l).
-5*l**3 + 94
Let l(u) be the second derivative of -u**5/4 - u**4/6 - u**3/6 - 80411*u. Let s(n) = 3*n**3 + 0*n**2 + n**3 + 2*n**2 + n. Calculate -5*l(t) - 6*s(t).
t**3 - 2*t**2 - t
Let o(y) = -4*y - 5. Let j(s) = -405*s + 23. Determine -j(u) - 5*o(u).
425*u + 2
Let r(n) = 7*n**3 + 6. Let g(f) = 4*f**3 + 10*f**2 + 5*f + 6. Let z(b) = -3*b**3 - 8*b**2 - 4*b - 5. Let o(i) = 4*g(i) + 5*z(i). Calculate -5*o(k) + r(k).
2*k**3 + 11
Let v(p) = 2*p**3 - 5*p**2 - 2*p - 1728. Let t(x) = -4*x**3 + 13*x**2 + 5*x + 3456. Determine -2*t(o) - 5*v(o).
-2*o**3 - o**2 + 1728
Let p(n) = -7*n - 4. Let l(i) = 6*i + 3. Let v = -101 + -77. Let w = -173 - v. Determine w*p(k) + 6*l(k).
k - 2
Let o(d) = 2*d**3 - 2*d**2 - 4*d - 1. Let t(n) = 485*n**3 - 8*n**2 - 16*n - 4. Calculate -4*o(v) + t(v).
477*v**3
Let w be 1/(20/1400*-10). Let f(s) = -81*s - 4. Let l(j) = -40*j - 2. Determine w*l(o) + 3*f(o).
37*o + 2
Let f(b) = -2*b**3 + 7*b**2. Let r = -116 - -119. Suppose 3*x + 2 = 8. Let s(a) = 2*a**2 + a**3 - r*a**3 - a**x + 5*a**2. Determine -5*f(k) + 6*s(k).
-2*k**3 + k**2
Let y(q) = 366*q + 228. Let p(v) = 548*v + 360. Give -5*p(j) + 8*y(j).
188*j + 24
Let c(k) = 1256*k - 1. Let u(s) = 16*s. Calculate -c(o) + 6*u(o).
-1160*o + 1
Let f(r) = -5*r**2 + 3*r**2 - 5 + 6*r**2 - 4*r. Suppose 15*i - 96 = 4*i - 5*i. Let v(u) = 5*u**2 - 4*u - 6. Suppose -7*o = -5*o + 10. Give i*f(l) + o*v(l).
-l**2 - 4*l
Let i(r) = -5*r**3 + 6*r**2 + 6*r - 6. Suppose t + 89 - 67 = -3*y, 38 = -3*y - 5*t. Let z(c) = -6*c**3 + 5*c**2 + 5*c - 5. Calculate y*z(p) + 5*i(p).
11*p**3
Suppose -232 = -155*z + 201 + 342. Let l(w) = 10*w**3 + 6*w**2 - 2*w - 5. Let o(p) = -15*p**3 - 9*p**2 + 3*p + 8. Give z*o(j) + 8*l(j).
5*j**3 + 3*j**2 - j
Let u(w) = 21*w**3 + 7*w**2 - 3. Let h(m) = -7*m**3 - 2*m**2 + 1. Suppose 0 = -4*j - 3*i + 31, 2*j - i - 19 = -6. Calculate j*h(d) + 2*u(d).
-7*d**3 + 1
Let s(l) = -6*l**2 - l + 2. Let k(n) = 233*n**2 - 936*n**2 - 1 + 233*n**2 + 231*n**2 + n + 238*n**2. What is -k(h) - s(h)?
7*h**2 - 1
Let i(z) = -252*z**2 + 95*z. Let y(w) = 84*w**2 - 31*w. What is -4*i(b) - 13*y(b)?
-84*b**2 + 23*b
Suppose -3*k = 15, -5*k + 1 = -v + 34. Let p(y) = -18*y - 5. Let t(o) be the second derivative of o**3 + o**2 - 108*o + 2. What is v*t(q) + 3*p(q)?
-6*q + 1
Let t(p) = -p**2 - p. Suppose 0 = g + 13 - 18. Let q(l) = 0 - g + 0*l + l**2 + 4 - 3*l. Calculate q(k) - t(k).
2*k**2 - 2*k - 1
Let k = -8 - -19. Suppose 0 = -3*t - 7 - k. Let a(q) be the second derivative of q**3/3 - 2*q**2 - 1137*q. Let i(z) = -4*z + 7. Determine t*i(u) - 11*a(u).
2*u + 2
Let s(m) = 4*m - 652. Let z(g) = -16*g + 1952. What is -7*s(b) - 2*z(b)?
4*b + 660
Let c(g) = -g**2 - g - 1. Let u = -554 + 101. Let p = u + 452. Let r(f) be the first derivative of -4*f**3/3 - 3*f**2 - 4*f + 1. Calculate p*r(l) + 5*c(l).
-l**2 + l - 1
Let t(y) = 10*y + 109. Let f(v) = -2*v - 6. What is 2*f(w) - t(w)?
-14*w - 121
Let m(f) = 94*f + 5 - 5*f**3 + 87*f + 5*f**2 - 2*f**2 - 285*f + 98*f. Let a(w) = 4*w**3 - 2*w**2 + 5*w - 4. Give 6*a(i) + 5*m(i).
-i**3 + 3*i**2 + 1
Let s(i) = -16*i**2 - 3*i + 4. Let d(v) = -v - 31 - 39 - 35 - 33 + 139. Determine 3*d(w) - s(w).
16*w**2 - 1
Suppose -i + 5*u - 13 = 0, 0 = 2*i - 2*u + u + 53. Let a be (i/21)/(-4)*-3. Let o(h) = -h**3 + h**2. Let b(p) = 3*p**3 - 5*p**2 + 1. Calculate a*b(v) - 5*o(v).
2*v**3 - 1
Let w(c) = 14*c**2 - 7*c + 5. Let n(x) = 12*x**2 - 4*x + 4. Give 6*n(q) - 5*w(q).
2*q**2 + 11*q - 1
Suppose 258*l + 349 = -941. Let w(z) = 85*z**3 - 5*z**2 + 5. Let s(j) = 43*j**3 - 2*j**2 + 2. Calculate l*s(t) + 2*w(t).
-45*t**3
Suppose -182 = -48*g + 106. Let z(t) = -14*t**2 - 13*t - 13. Let o(v) = 7*v**2 + 6*v + 6. Calculate g*z(k) + 13*o(k).
7*k**2
Let v(a) = -a**2 + 5*a - 7. Let x be v(5). Let l(p) = -5*p + 16*p**2 - 11*p**2 - 3 + 5 + 0 - 4*p. Let d(n) = 3*n**2 - 5*n + 1. What is x
|
{
"pile_set_name": "DM Mathematics"
}
|
arest to -0.1 in -1/5, i, s?
-1/5
Let s = -0.26 - -1.56. Let f = s - 1.6. What is the closest to 1 in -2/11, f, -1/4?
-2/11
Let o = 0.1 - 0.1. Let x = 2.93 - 2.73. Which is the nearest to o? (a) 3/2 (b) x (c) 2
b
Let h = 72.73 + -73. Which is the nearest to 0.1? (a) 0.3 (b) h (c) 0.4
a
Let o = -0.04 + -0.16. Which is the nearest to o? (a) 0.2 (b) 0 (c) 0.5
b
Let k = -221 - -222. What is the nearest to -4 in k, -0.1, 0.4?
-0.1
Let x = 2.99 + 0.01. Let o = 1.3 - 0.3. Let d = 30 + -28. What is the closest to o in x, 2/7, d?
2/7
Let s = -38 + 37.8. Which is the nearest to 0.1? (a) 0.5 (b) 3/5 (c) s
c
Let o = 0.9 + -5.9. Let f be 3/12 - 646/(-4040). Let y = f + -1/101. What is the closest to 1/4 in y, 4, o?
y
Let l = 1.2 + -6.2. What is the nearest to 0.5 in -0.2, l, -0.4?
-0.2
Let d be 3/(-6) - 3/(-8). Let n be 1/4*11 + -381 + 378. Let f = -156/7 - -22. Which is the closest to 1/3? (a) n (b) f (c) d
c
Suppose -5*y - 4485 = 140. Let h = y - -109149/118. Let l = h - 227/1062. Which is the nearest to 0.1? (a) l (b) -2 (c) -5
a
Let v be (-2)/(-10) - 32/60. Let p = 4 + -5. Which is the closest to p? (a) -0.1 (b) v (c) -2/17
b
Let q = 1.57 - 1.07. What is the nearest to 0.1 in -10, 4, q?
q
Let w be (-2)/24 - (-1)/3. Let z = 0.06 + 1.94. Let n = -4 + z. Which is the nearest to 0? (a) n (b) 4 (c) w
c
Let p = -4 - -4. Suppose -g - 3*g + 20 = p. Suppose 6*r - 5*r - 3*d + 19 = 0, 3*r - g*d + 37 = 0. Which is the nearest to 0? (a) r (b) 2/7 (c) -1/3
b
Suppose 10 = 7*f - 4. Let s be (f/(-5))/(-1) - 0. What is the closest to 1 in 2, -2, s?
s
Let p be (702/(-65))/(16/(-250)). Let g = 168 - p. What is the closest to 1 in g, 5, 3?
g
Let p(y) = y**3 + 10*y**2 + 17*y + 4. Let m be p(-8). Let t = 7 + -5.1. Let c = t + -2. What is the closest to c in m, -1, 0.3?
0.3
Let m = 0.85 + 0.15. What is the nearest to -4 in 2, m, -3?
-3
Let t = 1.2 + -8.2. Let d = t + 6.7. Let a = 5/17 - -19/51. What is the closest to -1 in d, a, -3?
d
Let n = -7.9 - 0.1. Let k = n + 10. Let x be 1/(-1) - 26/(-30). Which is the nearest to k? (a) x (b) -5 (c) 0
c
Let j = -10 + 9.9. Let r = 11 + -8. Let u = -5 - -11/2. What is the closest to r in j, -2/9, u?
u
Suppose 5*u = -3 + 8. Let g be 2 + ((-15)/18 - u). What is the nearest to -2/5 in -0.2, g, -0.1?
-0.2
Let f be (-23)/(-21)*-3 + 3. Let q = -2 + 1.7. Which is the closest to -2/7? (a) f (b) q (c) -2/15
a
Let z be ((-42)/27)/(-2) - 1. Let r = 0 - -0.2. Let m = 2 - 2. Which is the nearest to m? (a) z (b) r (c) 2
b
Suppose -2*s - s + 15 = 0. Suppose 3*o - 7 = -3*k + 14, 20 = s*k. Suppose -o*d = -4*d - 3. Which is the nearest to 1/3? (a) 3 (b) -2 (c) d
b
Let f = 0.17 + -0.05. Let z = f - -0.28. What is the closest to 1/3 in 0.1, 0.5, z?
z
Let m = -4.16 + 0.16. Let t = -3 + 5. What is the nearest to t in 1/8, 0.4, m?
0.4
Let k = 1.1 + -1.55. Let s = k - 0.05. What is the nearest to 0.1 in 3/4, s, -1?
s
Let y = 1 + 0. Let q = y - 4. Let v be -5 + 125/15 + -3. Which is the nearest to v? (a) 5 (b) q (c) 2/13
c
Let g = 8 + -10. What is the closest to g in -1, 11, -0.5?
-1
Let l = 0.2 + -0.4. Let n = l + 0.19. Let u = n - -0.01. Which is the nearest to -1? (a) 0.5 (b) -0.4 (c) u
b
Let q(u) = u - 1. Let n(c) = -c**3 - 7*c**2 - 2*c - 5. Let z = -4 - -8. Let p(r) = z*q(r) - n(r). Let m be p(-6). What is the nearest to 1 in -1, 2, m?
m
Suppose -4*n - n + 4*j = 36, 0 = n - 5*j + 3. Let s = n - -4. Which is the nearest to 2/13? (a) 2 (b) s (c) 4
a
Let s = -44 + 40. What is the nearest to 0.2 in -5/2, 5, s?
-5/2
Let d = 27 + -26. Let c = -1.99 - 0.01. Let a = 3 + c. What is the nearest to a in -1, 1/4, d?
d
Let w be 2/6 - 2/(-12). Which is the closest to 0? (a) -2/13 (b) -4 (c) w
a
Let n = 2.2 + -2. Let t = 0.4 - n. Let d be 16/(-8) + (-6)/(-2). Which is the closest to d? (a) t (b) -0.3 (c) -3
a
Let x = -0.9 - -1.1. Suppose -l = -0*l. Which is the nearest to -1? (a) l (b) x (c) -0.2
c
Let p = -1.1 + 0.1. Suppose m + 2*g + 10 = 0, 4*g - 27 + 5 = 5*m. Let x be (1/2)/(m/(-4)). What is the closest to p in -1, x, 0.3?
-1
Let p = 26/3 - 25/3. Let t be (-30)/27*(-12)/10. What is the closest to -1/3 in t, p, -0.3?
-0.3
Let u be 15/100*(-5)/2. Let j = 2.317 + -0.017. Let v = j - 2. What is the nearest to -2/3 in u, v, -1/2?
-1/2
Let r = 539 - 108338/201. Let s = r + 598/1005. Let j = -3 - -2. Which is the nearest to -0.1? (a) 2/5 (b) s (c) j
a
Let k be 1/(-39)*-2*3. Suppose 25 = -0*q + 5*q. What is the nearest to -2/5 in q, -0.5, k?
-0.5
Let y = -13/20 + 9/10. Let x = 39 - 36. What is the nearest to 0 in y, x, 0.5?
y
Let l = -16 + 16.28. Let n = -0.02 - l. Which is the closest to -1? (a) n (b) -1/4 (c) -4
a
Let r(a) = -a - 1. Let m be r(-3). Suppose d - 7 = -4*g, -3*g = -m*g - 4*d - 23. Let o = -16 - -16. What is the closest to -0.1 in -0.3, g, o?
o
Let r = 1.4 + -0.4. Let k = -0.2 + -1.8. What is the closest to r in 1/5, k, 0.5?
0.5
Let n = 0.1 - 0.3. Let m = n - -0.2. Let i(h) = -4*h + 46. Let x be i(12). Which is the nearest to m? (a) -5 (b) 1/3 (c) x
b
Let t = 0 + 0. Let f = 0.5 - t. Which is the closest to -1? (a) -0.1 (b) -5 (c) f
a
Let s = -56.9 + 57. Let z be (4/8)/(17/(-4)). What is the nearest to s in z, -0.1, -0.2?
-0.1
Let l = 0.63 - -4.37. What is the closest to 2/15 in -0.3, l, 0.2?
0.2
Let r = -0.9 - -0.8. Which is the closest to r? (a) 2/7 (b) 2 (c) 0
c
Let o = -2 + 1.5. Let k = o - -0.3. Let u = k + 0.2. What is the closest to u in 2, 0.5, -0.3?
-0.3
Let o be (-3)/(-15) + 66/(-105). Which is the nearest to 3? (a) o (b) -1 (c) 1
c
Let p = 5 + 2. Let y = p - 6. What is the nearest to 0.1 in 0, y, 5?
0
Let q = 0.4 + -0.1. Which is the closest to -8? (a) -3 (b) 2/9 (c) q
a
Let s = 0.3 + -0.3. Let u be ((-18)/(-28))/(24/(-14)). What is the nearest to -2 in s, -5/2, u?
-5/2
Let y = 472 - 1397/3. Let h = 6 - y. Which is the closest to 0.1? (a) 2 (b) 2/11 (c) h
b
Let j = -8.11 + 0.11. Let y = 7 + j. Which is the nearest to 1? (a) 1 (b) y (c) 2
a
Let o be 1 + -1*(-22)/(-18). Let q = -0.08 + 0.08. Let m = 2 - q. What is the closest to o in 2/17, m, 3?
2/17
Let d = -3.6 - -3.6. Which is the closest to 1/2? (a) 1/4 (b) -4 (c) d
a
Let g = -49 - -47.92. Let l = -0.08 - g. Which is the closest to 0? (a) -2 (b) l (c) -3
b
Let f = -46 + 45.5. Which is the nearest to 2/15? (a) -2/7 (b) f (c) -1
a
Let i = 1.4 - 1.5. What is the closest to 1 in i, -0.5, -0.3?
i
Suppose 7*i = 4*i - 6. What is the nearest to -2/3 in i, 2.2, -0.4?
-0.4
Let u = 5.1 + -0.1. Let i = -4.9 + u. Let f = -2.2 + -0.8. Which is the nearest to i? (a) 0.4 (b) 1/3 (c) f
b
Let v(c) = -c**3 + 9*c**2 - 9*c + 9. Let w be v(8). Let a = -139/3 - -46. What is the nearest to w in 3, a, 3/8?
3/8
Let h be ((-2)/(-3) - 0)*9. Let u be (4/(-18))/((-10)/h). Which is the closest to 0? (a) 1/4 (b) u (c) -3
b
Let o = 5 - 5.2. Which is the closest to o? (a) 0.2 (b) -1 (c) -4
a
Let t = 60 + -60. What is the nearest to t in 4, 0.5, 5?
0.5
Let g = 10 + -10.2. What is the nearest to -2/7 in -4, g, 5?
g
Let s be 2/(-56) - (-4)/14. Let t = 14 - 13.8. Which is the closest to s? (a) 3 (b) -2 (c) t
c
Let o be -2*(-2 + (-58)/(-24)). What is the closest to -4 in 1/4, -4, o?
-4
Let u = 0.2 - 0. Let f = u + -1.2. Let t = 14 - 14. Which is the nearest to t? (a) f (b) -3 (c) 5
a
Let x(i) = -i - 11. Let p be x(-9). Which is the nearest to -6/5? (a) p (b) 2/11 (c) -1/4
a
Let m be (-1 - 12/(-7)) + -1. Let h = -0.7 + -0.3. Let q = 3 + h. Which is the closest to -1? (a) q (b) m (c) 1
b
Let d = -6 - -5.6. Which is the closest to -2? (a) d (b) 5 (c) -5
a
Let p = -0.22 - -3.22. What is the nearest to 1/2 in 2/3, p, -5?
2/3
Let n = 0.37 - -4.63. Let g = 47 - 142/3. Which is the closest to g? (a) n (b) -0.1 (c) 0.2
b
Let w = 4 - 7. Let n = 2.9 + w. Which is the nearest to n? (a) -1/6 (b) 1/2 (c) 3
a
Let m be 0 + (4/(-6))/(-2). Let s be (15/9)/1 + -1. What is the closest to m in s, 4, 0.5?
0.5
Let n = 0.37 - 1.37. What is the nearest to 2/5 in -3/5, -2, n?
-3/5
Let r be ((-65)/28 - -2) + (-5)/20. What is the nearest to 0 in 2/5, -6, r?
2/5
Let q = -8 - -7. Let g = 481/6 - 80. Let u = 7 + -6. What is the nearest to u in g, -1/2, q?
g
Let l = -29/2 - -211/14. Let d = -6 + 11. Suppose 0 = -d*a - 2*o - 3, 2*o - 2 = -0. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
e prime factors of 135191?
7, 31, 89
List the prime factors of 12786.
2, 3, 2131
What are the prime factors of 424?
2, 53
What are the prime factors of 7545?
3, 5, 503
List the prime factors of 15603.
3, 7, 743
List the prime factors of 5995.
5, 11, 109
List the prime factors of 1119.
3, 373
What are the prime factors of 2631?
3, 877
What are the prime factors of 10679?
59, 181
List the prime factors of 19167.
3, 6389
What are the prime factors of 2750?
2, 5, 11
What are the prime factors of 37352?
2, 7, 23, 29
List the prime factors of 11054.
2, 5527
List the prime factors of 108553.
108553
What are the prime factors of 1295?
5, 7, 37
What are the prime factors of 982?
2, 491
What are the prime factors of 28408?
2, 53, 67
What are the prime factors of 18854?
2, 11, 857
What are the prime factors of 3503?
31, 113
List the prime factors of 2744.
2, 7
What are the prime factors of 14636?
2, 3659
List the prime factors of 2982.
2, 3, 7, 71
List the prime factors of 12317.
109, 113
What are the prime factors of 4123?
7, 19, 31
List the prime factors of 29341.
13, 37, 61
List the prime factors of 391.
17, 23
What are the prime factors of 27426?
2, 3, 7, 653
What are the prime factors of 23185?
5, 4637
What are the prime factors of 10594?
2, 5297
What are the prime factors of 18017?
43, 419
List the prime factors of 24072.
2, 3, 17, 59
What are the prime factors of 49307?
49307
List the prime factors of 431.
431
What are the prime factors of 3449?
3449
What are the prime factors of 18609?
3, 6203
What are the prime factors of 13022?
2, 17, 383
What are the prime factors of 10897?
17, 641
List the prime factors of 23944.
2, 41, 73
What are the prime factors of 2698?
2, 19, 71
What are the prime factors of 1337?
7, 191
What are the prime factors of 6517?
7, 19
List the prime factors of 1690.
2, 5, 13
What are the prime factors of 24566?
2, 71, 173
List the prime factors of 366.
2, 3, 61
List the prime factors of 1053.
3, 13
List the prime factors of 473.
11, 43
What are the prime factors of 423?
3, 47
What are the prime factors of 1000?
2, 5
What are the prime factors of 4982?
2, 47, 53
What are the prime factors of 39415?
5, 7883
What are the prime factors of 29523?
3, 13, 757
List the prime factors of 5040.
2, 3, 5, 7
List the prime factors of 56132.
2, 14033
List the prime factors of 3098.
2, 1549
What are the prime factors of 315?
3, 5, 7
What are the prime factors of 2222?
2, 11, 101
List the prime factors of 84908.
2, 21227
What are the prime factors of 5995?
5, 11, 109
List the prime factors of 96312.
2, 3, 4013
What are the prime factors of 29912?
2, 3739
List the prime factors of 2571.
3, 857
What are the prime factors of 8079?
3, 2693
List the prime factors of 19115.
5, 3823
List the prime factors of 869.
11, 79
What are the prime factors of 867?
3, 17
What are the prime factors of 20634?
2, 3, 19, 181
List the prime factors of 5123.
47, 109
List the prime factors of 4475.
5, 179
List the prime factors of 7849.
47, 167
What are the prime factors of 29156?
2, 37, 197
List the prime factors of 871.
13, 67
List the prime factors of 6385.
5, 1277
What are the prime factors of 1984?
2, 31
What are the prime factors of 61057?
61057
What are the prime factors of 86906?
2, 19, 2287
What are the prime factors of 1255?
5, 251
List the prime factors of 18406.
2, 9203
List the prime factors of 33060.
2, 3, 5, 19, 29
What are the prime factors of 121497?
3, 40499
What are the prime factors of 25513?
31, 823
What are the prime factors of 11280?
2, 3, 5, 47
List the prime factors of 1624.
2, 7, 29
List the prime factors of 20952.
2, 3, 97
What are the prime factors of 17251?
13, 1327
What are the prime factors of 42223?
42223
List the prime factors of 3060.
2, 3, 5, 17
What are the prime factors of 2095?
5, 419
What are the prime factors of 1018?
2, 509
List the prime factors of 5434.
2, 11, 13, 19
What are the prime factors of 60284?
2, 7, 2153
What are the prime factors of 1922?
2, 31
What are the prime factors of 23691?
3, 53, 149
List the prime factors of 286.
2, 11, 13
What are the prime factors of 6152?
2, 769
What are the prime factors of 24021?
3, 17, 157
List the prime factors of 13870.
2, 5, 19, 73
List the prime factors of 52582.
2, 61, 431
List the prime factors of 4349.
4349
What are the prime factors of 2604?
2, 3, 7, 31
What are the prime factors of 46922?
2, 29, 809
What are the prime factors of 10694?
2, 5347
List the prime factors of 174318.
2, 3, 17, 1709
List the prime factors of 1767.
3, 19, 31
List the prime factors of 2228.
2, 557
List the prime factors of 180.
2, 3, 5
What are the prime factors of 11887?
11887
List the prime factors of 35115.
3, 5, 2341
List the prime factors of 9560.
2, 5, 239
What are the prime factors of 16017?
3, 19, 281
List the prime factors of 3968.
2, 31
List the prime factors of 8470.
2, 5, 7, 11
List the prime factors of 223.
223
List the prime factors of 1052.
2, 263
List the prime factors of 39430.
2, 5, 3943
List the prime factors of 11335.
5, 2267
List the prime factors of 852.
2, 3, 71
List the prime factors of 24253.
79, 307
List the prime factors of 2662.
2, 11
List the prime factors of 5187.
3, 7, 13, 19
What are the prime factors of 15587?
11, 13, 109
List the prime factors of 8150.
2, 5, 163
List the prime factors of 212.
2, 53
List the prime factors of 8778.
2, 3, 7, 11, 19
List the prime factors of 5761.
7, 823
List the prime factors of 3679.
13, 283
What are the prime factors of 6152?
2, 769
What are the prime factors of 5175?
3, 5, 23
List the prime factors of 39107.
39107
What are the prime factors of 74489?
74489
What are the prime factors of 68108?
2, 17027
List the prime factors of 102213.
3, 41, 277
List the prime factors of 8256.
2, 3, 43
What are the prime factors of 1677?
3, 13, 43
What are the prime factors of 2736?
2, 3, 19
List the prime factors of 53070.
2, 3, 5, 29, 61
List the prime factors of 54512.
2, 3407
What are the prime factors of 2794?
2, 11, 127
List the prime factors of 10447.
31, 337
List the prime factors of 1408.
2, 11
What are the prime factors of 1776?
2, 3, 37
What are the prime factors of 1132?
2, 283
What are the prime factors of 670?
2, 5, 67
List the prime factors of 1458.
2, 3
List the prime factors of 20824.
2, 19, 137
What are the prime factors of 6695?
5, 13, 103
What are the prime factors of 84135?
3, 5, 71, 79
What are the prime factors of 97408?
2, 761
List the prime factors of 56468.
2, 19, 743
What are the prime factors of 61076?
2, 15269
List the prime factors of 17996.
2, 11, 409
List the prime factors of 8784.
2, 3, 61
What are the prime factors of 1541?
23, 67
List the prime factors of 72267.
3, 13, 17, 109
What are the prime factors of 173012?
2, 7, 37, 167
List the prime factors of 99599.
137, 727
What are the prime factors of 84157?
23, 3659
What are the prime factors of 110142?
2, 3, 29, 211
List the prime factors of 1905.
3, 5, 127
List the prime factors of 10715.
5, 2143
What are the prime factors of 63490?
2, 5, 7, 907
What are the prime factors of 6463?
23, 281
List the prime factors of 2742.
2, 3, 457
What are the prime factors of 3872?
2, 11
What are the prime factors of 4024?
2, 503
What are the prime factors of 74?
2, 37
What are the prime factors of 68994?
2, 3, 3833
What are the prime factors of 1055?
5, 211
What are the prime factors of 422?
2, 211
What are the prime factors of 4174?
2, 2087
List the prime factors of 159216.
2, 3, 31, 107
What are the prime factors of 14711?
47, 313
What are the prime factors of 34?
2, 17
List the prime factors of 23984.
2, 1499
What are the prime factors of 3992?
2, 499
List the prime factors of 6934.
2, 3467
What are the prime factors of 59527?
13, 19, 241
List the prime factors of 680.
2, 5, 17
What are the prime factors of 522?
2, 3, 29
List the prime factors of 60672.
2, 3, 79
List the prime factors of 887.
887
List the prime factors of 2916.
2, 3
List the prime factors of 13319.
19, 701
What are the prime factors of 1315?
5, 263
What are the prime factors of 69?
3, 23
List the prime factors of 10323.
3, 31, 37
What are the prime factors of 46571?
7, 6653
What are the prime factors of 4168?
2, 521
List the prime factors of 3495.
3, 5, 233
List the prime factors of 839.
839
List the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
f = -q - 2*q + 6. Solve 0 = q*b - 2 - 0 for b.
1
Suppose 3*k + 422 + 723 = 5*i, 913 = 4*i - 3*k. Solve 0 = -6*w - 208 + i for w.
4
Let w(o) = -o - 11. Let t(p) = 3*p - 63. Let c be t(22). Suppose l = -7*a + c*a - 18, -l - 2*a - 16 = 0. Let s be w(l). Solve s*u = -1 + 13 for u.
4
Suppose -5*h + 11 = -t - 7*h, 0 = 3*h + 12. Let u be 5 + (-147 + t)/(-6). Solve 0 = -p + 7*p - u for p.
5
Suppose 0 = u - 5*u. Suppose 3*d = 5*y - 22, -139*y + 134*y - d = -26. Solve y*v - 2*v = u for v.
0
Suppose 77*n - 150 = 27*n. Let c = 11 + -9. Let h = c + -2. Solve n*v + 1 - 4 = h for v.
1
Let u(a) = -9*a**2 + 80*a + 11. Let d be u(9). Suppose d*w + 27*w = 0. Solve -v - v - 3*v = w for v.
0
Let j be 21*6/42 - (2 + -23). Solve -21*q + 60 = -j for q.
4
Let h = -151 - -153. Let a(k) = -4 - 18*k + 11*k + 10*k. Let l be a(2). Solve -4 + h = -l*s for s.
1
Let f(s) = -10*s + 95. Let x be f(9). Solve -n + x = 1 for n.
4
Suppose -39 = 14*j - 109. Let q(g) = -1 + 1 + 0 - 1 + 2*g. Let a be q(j). Solve -a*f = -4*f - 25 for f.
5
Let p = 2 + 2. Let c = -2446 + 2458. Solve c = p*r - 0*r for r.
3
Let o(j) = j**3 + 25*j**2 - 36*j - 251. Let f be o(-24). Solve -f*w + 1183*w - 12 = 0 for w.
-2
Suppose 0 = 3*l - i + 807, -5*l + i - 174 = 1171. Let o = l + 272. Solve 5 = o*b - 4*b for b.
-5
Let m(k) = -k**3 + 4*k**2 - k - 3. Let r be m(2). Suppose v - 96 = -r*v. Solve -16 = -2*f - v for f.
-4
Let q(g) be the first derivative of -3*g**2/2 + 27*g + 29. Let f be q(8). Solve -f*d = -7*d + 8 for d.
2
Suppose 3*g - 8*g = -15. Let l(f) = -f**3 - 32*f**2 + 68*f + 1. Let r be l(-34). Solve r = u + g for u.
-2
Let h(l) = 3*l + 54. Let t be h(-5). Suppose 4*n + 5*x - t = 0, 4*n = 5*x + 10 - 1. Suppose -6*i = -8*i + n. Solve -i*o = -5*o for o.
0
Let t be (-4)/(-18) - 3512/(-72). Let m = t + -41. Solve -m*v - 6 = -10*v for v.
3
Let p(m) = -m**2 - 37*m + 40. Let q be p(-38). Suppose q*k + 0*k - 26 = -2*v, 5*v + 54 = 2*k. Solve -k = 2*r - 23 for r.
3
Let n be -8 - 170/(-10) - 27/(-3). Solve -8*a - 14 = n for a.
-4
Let z = 1 - 1. Suppose -3*s - 3 = q, 2*s + 27 = -2*q + 25. Let i be (-152)/38 + s*-2*2. Solve l + i + 5 = z for l.
-5
Suppose 8 = -4*f + 212. Suppose 4*r - 252 = -4*z, 4*r = 3*r + 5*z + f. Let u = 64 - r. Solve -8*w = -u*w for w.
0
Suppose -4*j = 3*y - 79, -9*j = 4*y - 4*j - 106. Let r be y/9 + (-16)/72 + 3. Solve 0 = -r*k - 10 - 8 for k.
-3
Suppose 2*b = -6, -3*k = -k + 3*b + 9. Suppose 32 = -z + 3*y, -4*z - y + 8 + 20 = 0. Solve i + k*i = -z for i.
-4
Let d = -29003 + 29024. Solve 0 = -d*o + 3 - 108 for o.
-5
Let d be 52 - 40 - -9*(-2)/3. Suppose 440*f = 442*f - d. Solve h - 4 = -f*h for h.
1
Let n(p) be the first derivative of -p**3/3 + 19*p**2/2 + 97*p + 64. Let x be n(23). Solve x = -2*w - 5 for w.
-5
Let l = 1740 + -1725. Solve -53 + 128 = l*m for m.
5
Let t(w) = -w**3 + 21*w**2 + 7*w - 139. Let l be t(21). Solve -26 = -l*m - 5*m for m.
2
Let y(a) = -413*a**3 - a**2 - 4*a - 2. Let z be y(-1). Solve -208*o + 70*o = -z for o.
3
Let q(t) = 13*t + 122. Let b be q(-7). Solve 37*v - b*v = -6 for v.
-1
Let u be (8 - 0)/4 + 2. Suppose 12 = -p + u*p. Let h be (-3)/(12/(-8))*5/10. Solve -h - 7 = -p*x for x.
2
Let z = -29 + 45. Suppose -h + 17 = -4*y, 210*y - 16 = 4*h + 215*y. Solve -z + h = -5*q for q.
3
Let u = -10 - -16. Let h = -66914 - -66924. Solve h*k + 8 = u*k for k.
-2
Suppose 0 = 8*x + 144 - 24. Let k(i) = -i**3 - 15*i**2 + 7*i - 10. Let j be k(x). Let y = -115 - j. Solve 0*w + 4*w = y for w.
0
Let w be 2 - ((-3)/(-1) + -6). Let r(h) = 3*h**2 + 14*h + 29. Let m be r(-3). Suppose o = y - 7, 4*o + m = 2*y - 8. Solve y*f = w*f for f.
0
Let p(k) = -414*k - 989. Let r be p(-3). Solve 0 = 17*a + 168 - r for a.
5
Suppose 3*a = -2*a - 2*u + 27, 1 = 3*a + 5*u. Suppose -m = -9 + a. Solve -m*k = -0*k for k.
0
Let u(j) be the first derivative of -j - 12 + 0*j**2 + 1/3*j**3. Let m be u(1). Solve 2*q + m = 6 for q.
3
Suppose 0 = -s + 2*n - 3 - 26, -n - 73 = 2*s. Let q = 39 + s. Solve 0 = -4*z - 0*z + q for z.
1
Suppose -5767 = -9*x - 25*x - 327. Solve x = -5*z + 150 for z.
-2
Let z = -16350 + 16398. Solve -5*u = u + z for u.
-8
Let c be (126/12)/(2/8). Let x(g) = -g**3 - 7*g**2 - g + 5. Let f be x(-5). Let k = f + c. Solve z + 0 - k = 0 for z.
2
Let l = 2011 + -2007. Solve -9*a - l = -40 for a.
4
Let b be (-225)/(-30) - (-1)/2. Suppose 4 = 4*j, c - 3*j = -42 + 55. Solve 4*i = b - c for i.
-2
Suppose 61*b = 2*v + 58*b + 5, -2*v + 25 = 3*b. Solve -81 = v*d - 71 for d.
-2
Let s be (7 - 121)/((-6)/4). Suppose 6 = -7*p + s. Suppose p = 3*l - f, -l = -4*l + 5*f - 10. Solve -l*v = 8 + 2 for v.
-2
Suppose -7 + 4 = o. Let r(a) = -a**2 - 4*a - 2. Let n be r(o). Suppose n = -2*j + 31. Solve 5*b - j = 2*b for b.
5
Suppose -5*h = 2*x - 8, 310*h - 4*x - 32 = 308*h. Let o = 15 + -13. Solve -o*z - 4 = h for z.
-4
Suppose -8 = -u + 5*u. Let f(b) = 12*b + 10. Let v be f(u). Let s be (28/v)/((-1)/2). Solve -7 = -s*d + 13 for d.
5
Suppose -4*b + 560 = 18*j - 14*j, -3*b + 415 = 4*j. Solve -2*i + b = 139 for i.
3
Suppose i = -6*q + 65, -4*i + 243 = 5*q + 59. Solve 8 = i*a - 39*a for a.
4
Let d(q) = 411*q - 8. Let z be d(1). Let a = 411 - z. Solve -a*i + 4 = -4 for i.
1
Suppose -3*n + 141 = 3*l, 0 = 5*n + 27 - 7. Suppose -l*v - 3 = -52*v. Suppose 2*u - 18 = v*x - x, -u - 5*x = 21. Solve -10 = -u*f + 2 for f.
3
Let w = -37 + 43. Suppose 6*x - w = 3*x. Solve 0*q - 4 = -x*q for q.
2
Suppose -c = 2 - 4. Suppose t = c*t. Let b(y) = 4*y - 39. Let p be b(16). Solve -5*z = -t*z + p for z.
-5
Let h = -23172 - -23185. Solve -99 = -h*v - 164 for v.
-5
Let c = -1 - -10. Suppose 0 = z + 2*z + c. Let x(m) = m**3 + 3*m**2 - 3*m - 7. Let l be x(z). Solve -l + 1 = -h for h.
1
Suppose -11166 = -17*d - 9058. Solve 0 = -55*n + d + 151 for n.
5
Suppose -12*k = -27*k - 15. Let p be 1/(3*k/12). Let a be 0/22 - 6/p*6. Solve 2*i - 5*i - a = 0 for i.
-3
Let b = -255 - -259. Let g = b + 0. Let j = -3 + 8. Solve -j*p + p = -g for p.
1
Let p(w) = 2*w**3 + 20*w**2 + 33*w + 15. Let c be p(-5). Solve 41*y - c = 64 for y.
4
Let a = 6084 - 6028. Solve 65*x = 9*x - a for x.
-1
Suppose 15*c - 568 = -478. Suppose -5*l = -4*k - 85, c*l = l + 5*k + 90. Solve -1 = l*b - 14*b for b.
1
Suppose -q - 5*n + 20 + 7 = 0, -5*n = 5*q - 35. Suppose -5*k + q*t = -2*t - 30, 4*k = 2*t + 30. Solve k = -g - g for g.
-5
Let a = -397 - -247. Let k = 152 + a. Solve 4 = -c + k*c for c.
4
Suppose -o - 4*o = 4*k - 125, 0 = o + 5*k - 46. Suppose -26*c = -o*c - 15. Solve 6 = c*a - 3 for a.
3
Let a = -14747 + 14747. Solve -20*r - 80 = -a*r for r.
-4
Let o = 217 - 206. Suppose -o*j + 86 = 42. Solve 23 = j*c + 7 for c.
4
Let w(a) = -a**2 - 27*a + 87. Let o be w(-30). Let y be 10 + o + 8 + -11. Solve -y*n + 19 = 11 for n.
2
Let n(l) = -2254*l + 2263. Let i be n(1). Solve 160*c - 157*c + i = 0 for c.
-3
Let t = -61 - -57. Let f be (6/(-8))/(-7 + (-27)/t). Suppose 0*p + f*p - 4*p = 0. Solve 2*z = -p*z - 8 for z.
-4
Suppose 10*p + 3 = 11*p, -10 = 5*b + 5*p. Let i be -7 - (b + -7) - 3. Solve z - 3*z = i for z.
-1
Suppose 40*k - 3720 = 20*k. Suppose 195*b = k*b + 45. Solve b = -z + 2 for z.
-3
Suppose -v = 4*v - 55. Let a be (-26)/(-12)*9 + 1/2. Suppose 0 = 5*h + 5*s - a, -5*h + 9 = -4*s - 20. Solve 2*c - h = -v for c.
-3
Suppose -298 = -9*w - 280. Suppose 0 = c - w*g - 2*g - 5, -5*c + 101 = -g. Solve -i - 6*i = c for i.
-3
Let d(c) = -c**3 + 16*c**2 + 37*c - 9. Let r(w) = 33*w - 180. Let o be r(6). Let q be d(o). Solve j + q - 5 = 0 for j.
-4
Suppose 2*f - 30 = 4*y + y, -24 = -2*f + 4*y. Solve f*n = 21*n for n.
0
Suppose 377*k - 396*k + 175 = 61. Solve k*n + 88 = 28*n for n.
4
Let s = -7763 - -7781. Solve 23*m - 29*m = s for m.
-3
Suppose 0 = -4*n - 3*d + 351, 24*d - 260 = -3*n + 25*d. Solve -5*t = -34*t + n for t.
3
Suppose -r = 2*r - 2*a, r = 2*a. Suppose -4*f = -r*g + 5*g - 4, 3*g = -12. Solve m + f = -m for m.
-3
Let v = 31 + -34. Let y be 2/v - 66/(-18) - 0. Solve -4*m = -y + 19 for m.
-4
Let c be (206/2 + -2)*162/162. Solve -y = -c + 103 for y.
-2
Let d(h) = 2*h**3 - 3*h + 31. Let p be d(0). Solve -11 = 21*g + p for g.
-2
Suppose -3*h - 18 - 58 = -o, -3*o - h = -198. Solve -2*u + 67 - o = 0 for u.
0
Let o = -3159 + 3245. Solve -o + 86 = -11*y for y.
0
Suppose 0 = -6*u - 3*q + 381, -3*u + 2*q + 66 = -142. Solve -u*i + 15 = -71*i for i.
-3
Suppose 5*z + 15 = 2*x, 3*z - x + 3*x =
|
{
"pile_set_name": "DM Mathematics"
}
|
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