text stringlengths 270 8.19k | meta dict |
|---|---|
*4 + 13*m**4 - 36*m**4).
92*m**5 + 1104*m**4
Expand 131*k + 20*k**2 - 3 - 133*k + 26*k**2 + (2 - 2 - 1)*(k - k + 2*k**2) - 8*k**2 + 5*k**2 + 7*k**2.
48*k**2 - 2*k - 3
Expand -7*p**5 - 7*p**5 + 8*p**5 - 8*p**5 - 16*p**2 + 16*p**2 + (2*p**3 - p**3 + 0*p**3)*(p - p - 2*p**2) + (3 - 3 - 4*p**2)*(-5 + 2*p**3 + 5).
-24*p**5
Expand (77 + 115 + 8*b - 188)*(-1 - 6 + 14).
56*b + 28
Expand ((-2 - 2 + 1)*(-f - 2 + 2) - 12*f + 4*f + 67*f)*(3 + 0 - 2)*(0*f + 2*f**4 + 0*f).
124*f**5
Expand (2*g**4 - 3*g**4 - g**4)*(2 - 7 - 2)*(21 - 38 - 28) + g**4 - g**3 + 4*g**3 + 2 - 2*g**3.
-629*g**4 + g**3 + 2
Expand (2*u - 8*u - 2*u)*(3 - 1 - 3) + (-2 + 4 - 1)*(-2*u + 4 - 4).
6*u
Expand (0 + 22 - 4)*(15*a - 112*a - 24*a).
-2178*a
Expand -3*k**2 - k**2 + k**2 + (2343 - 61*k - 471*k - 2341)*(k - 1 + 1).
-535*k**2 + 2*k
Expand (19*f - 11*f + 24*f)*(-f**2 + 6*f**2 - f**2) + (-3*f**2 + 0*f**2 - f**2)*(3 - f - 3).
132*f**3
Expand 3*i**2 - 3*i**2 + 2*i**2 + 0 - 2*i**2 + 0 + (-7*i + 13*i - 8*i)*(-1 - 2*i + 1) + 0*i**2 - 6*i**2 + 3*i**2 + 3 + 2*i**2 - 3.
3*i**2
Expand (-1699*h + 3 - 1971*h + 3278*h)*(-4 + 1 + 1).
784*h - 6
Expand (-4 - y + 4)*(-2*y**2 - 4 + 4)*(36*y + 13*y - 4*y).
90*y**4
Expand 131*y + 20*y**3 - 131*y + (2*y**2 + 0*y**2 - 4*y**2)*(-y + 3*y + 0*y) + 0 + 0 - y**3 + (-4 + 3 + 0)*(-1 + 1 + 2*y**3) - y**3 + 7*y**3 - y**3.
18*y**3
Expand (4 - 1 + 1)*(-141 - 98 + 38)*(u + 2*u**2 - u).
-1608*u**2
Expand (0 + 1 + 8)*(-316*h + 70*h - 100*h).
-3114*h
Expand (-2*y + 4*y + 0 + 2)*(-269*y - 389*y + 197*y).
-922*y**2 - 922*y
Expand (-3*g + g - 3*g)*(2*g**3 - 2*g**4 - 2*g**3) + (g**2 + 3 - 1 - 3)*(-341 - 62*g**2 + 341)*(7 + 4*g - 7).
-238*g**5 + 248*g**3
Expand (156*f**3 - 9445*f**2 + 9445*f**2)*(-1 + 1 - 2*f**2) - 1166*f**4 + 2*f**5 + 1166*f**4 - 6*f**2.
-310*f**5 - 6*f**2
Expand (-m**3 + 0*m**3 + 0*m**3)*(29 - 107 - 20) + (-5 + 5 - 4*m)*(-16 - 5*m**2 + 16).
118*m**3
Expand (l + 0 + 0 + (-39 + 87 - 78)*(0 + 0 + 3*l))*(0 + 2 + 4).
-534*l
Expand (-64*f - 22*f - 20*f)*(-1 + 1 + 3)*(1 - 3 - 2).
1272*f
Expand (-4 - 2 + 2)*(5*l**4 + 3*l**4 - 6*l**4) - l**4 - 2*l**4 + 0*l**4 + (l - l - 3*l**3)*(0*l + 3*l - 6*l) - 4*l**4 + 3*l**4 + 2*l**4.
-l**4
Expand (-106 - 79 + 214)*(234 + 230*i**2 - 234).
6670*i**2
Expand n**5 - 2*n**5 - 2*n**5 + (-3*n - 10*n + 14*n)*(40*n**4 + 2604 - 2604).
37*n**5
Expand (7*s**2 - s**2 + 9*s**2 - 3*s**2 + 3*s**2 + 2*s**2 + (s + 2*s - 2*s)*(s + 2 - 2))*(4*s**2 - 4*s**2 + 2*s - s**2).
-18*s**4 + 36*s**3
Expand (115*h + 104*h - 66*h)*(4 - 1 - 1)*(1 + 1 + 0).
612*h
Expand (2 - 4 - 2)*(12*x**2 + 4*x**2 - 14*x**2)*(15 + 8 - 7).
-128*x**2
Expand m**3 + 2*m**4 - m**3 + (-1 + 4 - 1)*(m**4 + 2*m**4 - 2*m**4) + (2 - 2*m**3 - 2)*(-888*m - 1432*m + 795*m).
3054*m**4
Expand (14*j**5 - 18*j**3 + 18*j**3 - 2*j**3 + 2*j**5 + 2*j**3 + (-1 + 5 - 1)*(4*j**5 - 9*j**5 - 3*j**5) + 1 - 1 - j**5)*(0 + 0 - 1).
9*j**5
Expand -5*d - d - d + (d - 5*d - 3*d)*(-65 - 458 + 827).
-2135*d
Expand (-9733*u**3 - 3509*u**3 - 15987*u**3)*(u**2 + 1 + 3 - 5).
-29229*u**5 + 29229*u**3
Expand (-237*z**2 - 35*z**5 + 237*z**2 + (-z**3 - 2 + 2)*(-z**2 + 2*z**2 - 3*z**2))*(-7 + 16 + 11).
-660*z**5
Expand 8610*n - n**2 - 8610*n + 57*n**5 + (2*n**4 - n**4 + n**4)*(2*n + 5*n - 5*n) + n**5 + 0*n**5 - 2*n**5.
60*n**5 - n**2
Expand (-10*k - 5*k + k)*(-k**2 + k + 17*k + 0*k**2 + k - k + k**2 + (2 + 3 - 4)*(-2*k**2 + 5*k**2 - 2*k**2))*(-3 + 1 + 8).
-84*k**3 - 1512*k**2
Expand (329*z - 2710*z - 4019*z - 5328*z)*(6*z - 2*z - 2*z).
-23456*z**2
Expand 6*f**5 - f**4 + 5*f**5 - 2*f**5 + (-31 + 50 - 32)*(-f**5 - 10*f + 10*f) - 2*f**5 + 2*f**5 + f**5.
23*f**5 - f**4
Expand n**2 - n**4 - n**2 - 4*n**4 + 4*n**4 - 2*n**4 - 2*n**4 + 2*n**4 + n**4 + (3 - 2*n - 3)*(5*n**3 - 4*n**3 - 3*n**3) + 132*n**4 + 95*n**4 + 72*n**4.
301*n**4
Expand (0*w + 3*w - w)*((-2*w + 6*w - 3*w)*(-4*w + 2*w + 4*w) - 4*w + 4*w + 2*w**2 + 67*w**2 + 672*w**2 - 44*w**2).
1398*w**3
Expand w - 2 + 2 + (1 + 3 - 3)*(6 - 6 - w)*(-6 - 1 + 30) - 3*w + 5*w - w + (-4 + 1 + 1)*(w - w - 2*w) - w + 5*w - 5*w + 10*w - 87 + 87.
-8*w
Expand (-3*m + m + m)*(-13*m + m**2 + 13*m) + 90*m**3 + 1856*m - 1856*m.
89*m**3
Expand (4 + 1 - 1 + (1 + 2 - 4)*(3 - 5 + 1))*(-s + 4 - 4)*((-3 - 1 - 4)*(4*s - 4*s + s) + 0*s + s - 3*s).
50*s**2
Expand (-2 + 2*x + 2)*(2 - 8 + 0)*(-73*x**2 + 427*x - 427*x)*(1 + 4 - 3 - 2*x).
-1752*x**4 + 1752*x**3
Expand (2*m + 0*m - m)*(132*m - 120*m - 102*m) + (2*m - 5*m + 4*m)*(-m - m + m).
-91*m**2
Expand -210*m + 87*m + 90*m + (4 - 4 + m)*(1 + 2 - 4) + 3*m - 3*m - 2*m + (-2 - 4 + 3)*(1 - 1 + m).
-39*m
Expand (-4 + 2 - 1)*((2 - 4 + 3)*(-1 - 2 + 4) + 2 + 1 - 1)*((0 + 1 + 0)*(-2 - 2 + 5) + 15 + 14 + 6)*(0 + 0 - 4*u).
1296*u
Expand (13 + 45874*a + 0 + 63 - 76)*(3*a**2 - 3*a**2 + a**2).
45874*a**3
Expand (-2 - 3*t - t**3 + 3*t)*(-18 - 29 + 14) - t**2 + 0*t**2 + t**3 - 2*t**3 + t.
32*t**3 - t**2 + t + 66
Expand (-5029 + 5029 + 1241*u)*(-1 - 2*u + 1)*(2*u - 2*u - 3*u**2).
7446*u**4
Expand (-116 + 137 + 234)*(23*b**4 - 20*b**4 + 13*b**4).
4080*b**4
Expand -b - 6*b - 7*b + (1 - 7 + 2)*(-68 + 68 - 20*b + (-1 - 1 + 4)*(-3 - b + 3)).
74*b
Expand 4923 - 59*b**5 - 4923 - 3*b**3 + (-1 + 1 + 2*b**3)*(3*b**2 - 5*b**2 + 0*b**2) + 2*b**5 - 3*b**2 + 3*b**2 - b**5 - 2*b**5 + b**5.
-63*b**5 - 3*b**3
Expand -x**5 + 3*x**5 + 0*x**5 + (0*x**3 + 0*x**3 + x**4)*(-x + 4*x - x) + (3500994*x + 53*x**4 - 1750487*x - 1750414*x)*(2 - 2 + 2*x).
110*x**5 + 186*x**2
Expand (7 + 7 - 2)*(2 + 1 - 1)*(-12 + 5*d**3 + 12) - 93*d**3 - 602*d + 602*d.
27*d**3
Expand (2*q - q - 3*q)*(-q + q - q) + (2 + 0 + 0)*((-1 - 2 + 2)*(-q - 3 + 3) - 3 + 3*q + 3)*(-7746*q + 4134*q + 4151*q).
4314*q**2
Expand (-4 + 2 + 3 + (-3 - 1 - 3)*(-1 - 1 + 1))*(93*j + 116*j - 85*j).
992*j
Expand (-190*v - 592*v + 208*v)*(-2 + 2 + 2*v).
-1148*v**2
Expand 0*a**2 + 0*a**2 + 4*a**3 + (-3*a + 0*a + a)*(5*a**2 + a**2 - 5*a**2) + (2 - 2 - 1)*(-3*a**2 + 2*a**2 + 3*a**2)*(9*a + 66*a + 0*a).
-148*a**3
Expand (g**3 - 4*g**3 + g**3)*(-40 - 5*g + 40 - 4*g + g + 2*g - 3*g - g + 2*g + (1 - 3*g - 1)*(-1 + 1 + 5)).
46*g**4
Expand (23624*q**3 - 654 - 47235*q**3 + 23620*q**3)*(-q + q - q**2).
-9*q**5 + 654*q**2
Expand (-4*g + 0*g + 2*g + (1 - 4 + 1)*(-3*g - 2*g + 3*g)*(-26 - 32 + 2))*(0*g + 0*g - g + (6*g - 2*g - 2*g)*(-1 + 2 + 0) + 2*g - 4*g + 4*g).
-678*g**2
Expand (4*j**2 + 2*j**2 + 20*j**2)*(-2*j - 2*j + 2*j)*(-15 + 20 + 21).
-1352*j**3
Expand (-j + 3 - 3)*(330*j**2 + 512*j - 525*j**2 + 202*j**2).
-7*j**3 - 512*j**2
Expand 3*j**5 - 3*j**5 - j**5 + (2 - 4 + 0)*(j**5 + 5*j**5 - 4*j**5) - 3*j**5 + 2*j**5 + 3*j**5 + (-2*j - j + 5*j)*(227*j**4 + 43*j - 43*j).
451*j**5
Expand (458*l**3 + 4 - 518*l**3 - 3)*(10 - 6 + 7) - 6*l**3 + 3 + 4*l**3 - 1.
-662*l**3 + 13
Expand (-10*z + 5*z + 29*z)*(-8*z**3 - 2*z + 13*z**4 + 3002 - 3002).
312*z**5 - 192*z**4 - 48*z**2
Expand (0 - m**2 + 0)*(29846 - 29846 - 618*m) + (7 - 2 - 2)*(-m**3 + 3 - 3) + (m + 2*m - 2*m)*(0*m + m**2 + 0*m).
616*m**3
Expand (-4*o - 18*o + 38*o - 16)*(2*o**2 - 3*o**3 - 2*o**2).
-48*o**4 + 48*o**3
Expand (3*l + 4*l - 6*l + (3 - 3 + 2)*(l - 4*l + l))*((-2 + 4 - 4)*(-23 + 16 + 20) - 2 + 5 - 1).
72*l
Expand (592*z - 23 + 367*z + 314*z + 23)*(-3 + z**3 + 3)*(16 + 13 - 6).
29279*z**4
Expand (2 - 1 + 0)*(-3 - 4*d + 2*d + 1) + (-d - 2*d + 4*d)*(102 - 39 + 49).
110*d - 2
Expand (-f**2 - 6 + 5*f - 9*f + 3*f)*(242*f + 112*f - 113*f).
-241*f**3 - 241*f**2 - 1446*f
Expand (7 + 6 + 6)*(-1 + 572*o + 530*o + 2 - 48*o - 457*o).
11343*o + 19
Expand (5 - 5 - 5)*(-157*u**2 - 153*u**2 - 15 + 306*u**2)*(-2 + 2 + u**2).
20*u**4 + 75*u**2
Expand (1 - 3 - 1)*(-10 - y + 10)*(4*y + 6*y - 6*y) - 17*y + 17*y + 3*y**2.
15*y**2
Expand (3*k**2 - k**3 - 3*k**2)*((2 + 3 - 1)*(-2*k - 2*k + 2*k) + (-3*k + 2*k + 2*k)*(4 - 3 - 2) + (-2 - 5*k + 2)*(-5 + 1 - 2)) + 2*k - 2*k - k**4.
-22*k**4
Expand 2*s**3 - 4*s**3 + 3*s**3 + (3 + 6 - 4)*(488*s**3 - 997*s**3 + 494*s**3).
-74*s**3
Expand (0*r**3 - 2*r**3 + r**3)*(5 + 0 + 0)*(-105*r - 266*r + 87*r).
1420*r**4
Expand (-2*b + 6*b + b + (b - 3*b + b)*(-1 - 1 + 3))*(548 - 548 + 552*b**2).
2208*b**3
Expand (-4 + 0 - 1)*(-11*w + 10 - 10) + (4 - 2 + 2)*(3*w + w - 5*w) + (4 - 2 - 3)*(w + 3*w - 5*w) + 0 + 1 + 17*w - 11*w.
58*w + 1
Expand (-3 + 2 + 0)*(6*z**5 - 2*z**5 - 2*z**5) - 4*z**5 + 0*z**5 + 3*z**5 + (-2*z**3 + z**3 - z**3)*(-87*z + 34*z + 34*z)*(2 + 2*z - 2).
73*z**5
Expand | {
"pile_set_name": "DM Mathematics"
} |
of picking 1 c and 1 n when two letters picked without replacement from {n: 1, w: 2, e: 1, i: 2, a: 1, c: 1}.
1/28
Calculate prob of picking 2 h and 1 o when three letters picked without replacement from {n: 4, u: 9, h: 2, o: 3}.
1/272
What is prob of picking 3 v when three letters picked without replacement from {v: 4, y: 2}?
1/5
Three letters picked without replacement from syyyyyyyysyddsy. Give prob of picking 2 s and 1 d.
6/455
Three letters picked without replacement from {p: 1, a: 11, g: 1, v: 1, y: 2}. Give prob of picking 2 a and 1 p.
11/112
Four letters picked without replacement from vntvntvvtv. What is prob of picking 3 t and 1 n?
1/105
What is prob of picking 1 z and 3 h when four letters picked without replacement from {h: 6, k: 4, z: 4}?
80/1001
Calculate prob of picking 2 n when two letters picked without replacement from ihnttvl.
0
Three letters picked without replacement from wslyd. What is prob of picking 3 y?
0
Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 4, l: 3, v: 13}.
26/95
What is prob of picking 1 v and 1 e when two letters picked without replacement from {v: 5, e: 2, p: 5}?
5/33
Four letters picked without replacement from lpggllpllhphmlgg. What is prob of picking 1 m, 2 p, and 1 l?
9/910
Four letters picked without replacement from {v: 9, p: 7}. Give prob of picking 4 v.
9/130
Calculate prob of picking 4 y when four letters picked without replacement from {m: 12, y: 6}.
1/204
Three letters picked without replacement from {r: 4, p: 3, s: 1, a: 2}. Give prob of picking 1 a and 2 p.
1/20
What is prob of picking 2 z when two letters picked without replacement from hhxzhhza?
1/28
Two letters picked without replacement from brbbbr. What is prob of picking 2 b?
2/5
Three letters picked without replacement from fafwaaaw. Give prob of picking 1 w, 1 a, and 1 f.
2/7
Three letters picked without replacement from ooyyoyoooooooy. What is prob of picking 1 y and 2 o?
45/91
Two letters picked without replacement from nqnnnqnnqqqqqqnnqqn. What is prob of picking 2 q?
5/19
What is prob of picking 1 c and 2 x when three letters picked without replacement from {x: 2, c: 4, m: 5}?
4/165
Two letters picked without replacement from qjjq. What is prob of picking 2 q?
1/6
Calculate prob of picking 1 p and 2 d when three letters picked without replacement from {i: 4, p: 1, d: 6}.
1/11
Four letters picked without replacement from vvbvvrvvvrvrzrvvqvz. Give prob of picking 1 r, 2 z, and 1 q.
1/969
Four letters picked without replacement from pppqququppqquuspup. Give prob of picking 4 u.
1/612
Three letters picked without replacement from {c: 2, o: 1, v: 1, m: 5}. What is prob of picking 1 o and 2 c?
1/84
What is prob of picking 1 v, 2 t, and 1 s when four letters picked without replacement from ctcvvvrrrrtrstrrct?
1/170
Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {h: 12, c: 1, y: 7}.
7/380
Two letters picked without replacement from smemmsmssssssvsse. What is prob of picking 1 e and 1 s?
5/34
What is prob of picking 1 v and 1 x when two letters picked without replacement from {v: 19, x: 1}?
1/10
What is prob of picking 1 j, 1 v, and 1 y when three letters picked without replacement from vzjjjjzzzuy?
4/165
Calculate prob of picking 2 l and 2 p when four letters picked without replacement from llblllllllpkp.
36/715
Three letters picked without replacement from {c: 8, z: 2, m: 2, l: 2}. What is prob of picking 2 z and 1 c?
2/91
Two letters picked without replacement from {b: 3, m: 1, t: 1, y: 5, v: 5, x: 3}. Give prob of picking 1 y and 1 v.
25/153
What is prob of picking 1 v and 1 g when two letters picked without replacement from ddddvnmdg?
1/36
Two letters picked without replacement from {g: 2, t: 3, l: 1, a: 2, h: 3, z: 1}. Give prob of picking 2 t.
1/22
Three letters picked without replacement from jsuujbuueemjube. What is prob of picking 1 u, 1 e, and 1 b?
6/91
What is prob of picking 2 f and 1 b when three letters picked without replacement from bbbbbffeefefeeb?
36/455
Three letters picked without replacement from xppvvoxpppoopxvvv. Give prob of picking 1 o and 2 p.
9/136
Four letters picked without replacement from mmmmmmm. Give prob of picking 4 m.
1
Calculate prob of picking 2 w, 1 x, and 1 q when four letters picked without replacement from {q: 3, w: 3, x: 2}.
9/35
Four letters picked without replacement from {f: 1, b: 6, i: 7}. Give prob of picking 1 f, 1 b, and 2 i.
18/143
Two letters picked without replacement from vccvc. Give prob of picking 1 c and 1 v.
3/5
Calculate prob of picking 2 d when two letters picked without replacement from dtodtdtttttttdot.
1/20
Four letters picked without replacement from iiisrwwiprwssrwr. What is prob of picking 2 p and 2 i?
0
Two letters picked without replacement from zmowk. What is prob of picking 1 m and 1 o?
1/10
Four letters picked without replacement from znnzwnlzlnwzz. What is prob of picking 2 w and 2 l?
1/715
Three letters picked without replacement from {s: 4, a: 3, p: 2}. What is prob of picking 1 p and 2 s?
1/7
Calculate prob of picking 2 b and 1 u when three letters picked without replacement from {u: 1, g: 2, b: 10, x: 3}.
9/112
What is prob of picking 3 q when three letters picked without replacement from {t: 1, g: 3, q: 3, i: 2, p: 2, a: 1}?
1/220
What is prob of picking 2 o, 1 t, and 1 f when four letters picked without replacement from {d: 2, o: 8, p: 1, f: 2, t: 2}?
16/195
What is prob of picking 2 e when two letters picked without replacement from ppneepeeeeencec?
4/15
Three letters picked without replacement from bbcb. What is prob of picking 2 b and 1 c?
3/4
Two letters picked without replacement from {h: 1, o: 1, s: 1}. Give prob of picking 1 s and 1 h.
1/3
What is prob of picking 1 j and 2 d when three letters picked without replacement from djedjddj?
9/28
Two letters picked without replacement from mphrh. What is prob of picking 1 h and 1 m?
1/5
Two letters picked without replacement from {y: 4, r: 2, f: 2}. Give prob of picking 2 f.
1/28
Three letters picked without replacement from {t: 7, b: 4, i: 6, p: 1}. What is prob of picking 1 i, 1 t, and 1 b?
7/34
What is prob of picking 2 v and 2 a when four letters picked without replacement from {a: 5, v: 8}?
56/143
Two letters picked without replacement from {i: 4, x: 8, b: 1}. What is prob of picking 1 b and 1 x?
4/39
Four letters picked without replacement from {w: 7, c: 4}. What is prob of picking 4 c?
1/330
Four letters picked without replacement from {o: 2, i: 2, b: 9, q: 3, l: 1}. Give prob of picking 2 b, 1 o, and 1 i.
36/595
Two letters picked without replacement from lkvklhvhvklhvvhhklh. What is prob of picking 2 v?
10/171
What is prob of picking 4 s when four letters picked without replacement from sissssssssssiissss?
91/204
Calculate prob of picking 2 m, 1 w, and 1 x when four letters picked without replacement from mrwwwwxm.
2/35
What is prob of picking 3 m and 1 s when four letters picked without replacement from {s: 3, e: 1, m: 3}?
3/35
Two letters picked without replacement from {t: 1, w: 2, s: 1, d: 1, k: 2}. Give prob of picking 1 s and 1 d.
1/21
Two letters picked without replacement from {p: 5, z: 1, k: 3, d: 5, n: 2}. What is prob of picking 1 d and 1 k?
1/8
Two letters picked without replacement from {a: 5, j: 3, r: 2}. Give prob of picking 1 j and 1 a.
1/3
What is prob of picking 1 u, 2 w, and 1 e when four letters picked without replacement from {u: 4, w: 2, y: 3, e: 7, g: 3}?
7/969
Calculate prob of picking 1 q and 3 r when four letters picked without replacement from {u: 1, r: 3, q: 3}.
3/35
Two letters picked without replacement from vfebefefefwfefevfb. What is prob of picking 1 b and 1 w?
2/153
Calculate prob of picking 1 d and 1 i when two letters picked without replacement from mbrbmbirdbbbbibbmbb.
2/171
Calculate prob of picking 2 t and 1 w when three letters picked without replacement from {a: 3, w: 4, t: 9}.
9/35
Two letters picked without replacement from vikbkhih. What is prob of picking 1 h and 1 k?
1/7
Calculate prob of picking 1 q and 2 n when three letters picked without replacement from {n: 6, h: 2, q: 1, p: 2}.
1/11
Two letters picked without replacement from {l: 7, k: 4, i: 2}. Give prob of pic | {
"pile_set_name": "DM Mathematics"
} |
2.4
d
Which is the second smallest value? (a) 3/7 (b) -0.0345138 (c) 4
a
What is the third smallest value in 164, 0.4, -6.2, -5?
0.4
Which is the fourth smallest value? (a) 0.4 (b) 2.35 (c) -3/5 (d) 2/17 (e) -5
a
What is the third smallest value in 2, -18, 547, 0?
2
Which is the fifth biggest value? (a) 0 (b) -1 (c) 0.1 (d) 34/35 (e) 4/9
b
Which is the second biggest value? (a) 22732 (b) -2 (c) 0.5 (d) 0.1 (e) 1
e
What is the second biggest value in 0.4, 96, -1/5, -25, -40?
0.4
What is the smallest value in -2/11, -321, -6, -6.83?
-321
What is the second biggest value in -24856, 4, -2/11?
-2/11
Which is the third smallest value? (a) -19 (b) -0.5 (c) -0.7 (d) 0.255
b
What is the fourth smallest value in -0.4, -147, -3, -0.31?
-0.31
What is the third smallest value in 1, -209, -2/13, 4, 3/5?
3/5
Which is the second smallest value? (a) -6966 (b) -102 (c) -2 (d) 0
b
Which is the fourth biggest value? (a) 4/9 (b) 1/12 (c) 2/9 (d) -1 (e) 1
b
Which is the fourth smallest value? (a) 12 (b) -3/17 (c) -5 (d) 2/9
a
Which is the fourth biggest value? (a) 1/154 (b) -2.5 (c) -5 (d) 0.3 (e) -4 (f) 0.2
b
Which is the fifth biggest value? (a) 0.2 (b) -3/2 (c) -0.05 (d) -0.1 (e) -61769
e
Which is the third smallest value? (a) -2/5 (b) 0 (c) 89 (d) 1/12
d
What is the second smallest value in -22, 5, -227, -0.09?
-22
What is the third biggest value in -23226, 0.2, 0?
-23226
Which is the second smallest value? (a) 4 (b) -28729 (c) 2/7
c
Which is the biggest value? (a) 2 (b) -1.84 (c) -1/4 (d) 1
a
Which is the second biggest value? (a) -1.664 (b) -3 (c) -0.14 (d) -0.4
d
Which is the third smallest value? (a) -5/526 (b) 2/3 (c) -0.4 (d) 9/2
b
What is the fourth smallest value in -0.3, -4, -7/6, 4, -5, -12?
-7/6
What is the second biggest value in -2, 3, -15, -5/2061?
-5/2061
What is the second biggest value in 73.1, -5, 422, 5?
73.1
What is the biggest value in -1.24, 0.2, -1/6, 1476?
1476
What is the biggest value in -1/2712, 5/3, 2/19?
5/3
What is the third smallest value in -34, -45.2, -0.4, -0.2?
-0.4
What is the fourth biggest value in 8, -4, -0.2, 0.5, 11?
-0.2
What is the fourth smallest value in 1/9, -0.5, -2/19, 2048/53?
2048/53
What is the third biggest value in 24, -122, 76?
-122
What is the smallest value in 0.03, -2, -3381?
-3381
What is the second biggest value in -2, -4/17, -4, 1?
-4/17
Which is the third smallest value? (a) 3 (b) 4 (c) -12/2023 (d) 2/5 (e) 2/7
d
What is the biggest value in -5, -54, 5?
5
What is the second biggest value in 0.5, 2, 1, 0, 8872?
2
Which is the smallest value? (a) 321637 (b) 1 (c) 2/3 (d) -0.2
d
What is the fourth biggest value in 4, 3, 1.8, 91, -3/11, 2/3?
1.8
What is the second biggest value in -277, -3, 8, 33?
8
What is the third biggest value in 143, -0.5, 0.5, 140, 0, 0.2?
0.5
Which is the second smallest value? (a) 22 (b) -3 (c) -8 (d) -1 (e) 30
b
What is the fourth smallest value in 3, 2, -4, 5/4, -14?
2
What is the third smallest value in -1468, 102.2, 2/9?
102.2
What is the smallest value in 3.1, -2, 65, -5?
-5
Which is the sixth biggest value? (a) -1.2 (b) -5 (c) 50 (d) -2/3 (e) -4 (f) 3/7
b
Which is the biggest value? (a) 1040 (b) 3 (c) -3 (d) -1.2
a
What is the third biggest value in 2/13, 4, 54/59?
2/13
What is the second biggest value in 0.3, 2033, 0.5, 0.2, 0.7, -2?
0.7
Which is the second smallest value? (a) -1/2 (b) 73 (c) 4.92
c
What is the smallest value in 0.5, 5, 10, -4, 27?
-4
Which is the second biggest value? (a) -114/11 (b) 0.33 (c) -0.1
c
Which is the smallest value? (a) 0.4445 (b) -2 (c) 1 (d) -0.2
b
Which is the biggest value? (a) 5 (b) -0.5 (c) 0.8 (d) -19 (e) -2
a
What is the smallest value in 127/2, 1, -3?
-3
Which is the biggest value? (a) 2.79 (b) 2/3 (c) 0 (d) -0.3 (e) -0.2 (f) -2/19
a
What is the third biggest value in 0.4, 24, 0, 1, 2/33?
0.4
Which is the fourth smallest value? (a) 9 (b) -2/7 (c) -5 (d) -11220
a
What is the fourth biggest value in -61, 3, 2/9, -6655/7?
-6655/7
Which is the second smallest value? (a) -3964 (b) 3/4 (c) -4 (d) 140
c
Which is the smallest value? (a) -39 (b) 10/57 (c) -49
c
What is the fourth smallest value in 3/8, 0.2, 5, -4.5, -1?
3/8
Which is the biggest value? (a) -15 (b) -0.02 (c) -2/493
c
Which is the second biggest value? (a) 4 (b) 0.5749 (c) 3
c
What is the biggest value in -2/27, 4/3, -879?
4/3
What is the second biggest value in 1, -0.3, 2/27, 1/437?
2/27
What is the fourth biggest value in -2/15, 5, -4/7, 0.487, -0.2?
-0.2
Which is the second biggest value? (a) -56/5 (b) 10 (c) 0.4 (d) 1/6
c
Which is the second smallest value? (a) -2625/13 (b) -10 (c) -2/3
b
What is the second biggest value in -56/3, 0.2, 5, -4/3, 5/3, -1/3?
5/3
What is the smallest value in -0.09, 4, -0.3, 1, -1/22, 0.2?
-0.3
What is the second smallest value in -0.1, 17, 0.5, -31320?
-0.1
What is the third biggest value in 3/2, -3.8, 1?
-3.8
What is the fourth biggest value in -2, -0.09, 1.6, 1/4, 0, 0.2?
0
What is the second smallest value in -4/113, 0.3, 91?
0.3
What is the second smallest value in -940, -1/3, 0.058, 0.2, 5, 4?
-1/3
Which is the fourth biggest value? (a) 3 (b) -7 (c) 0.0139 (d) -6
b
What is the third biggest value in -2, -0.417, 18?
-2
Which is the second smallest value? (a) -0.11071 (b) 2 (c) 0.1 (d) -8
a
Which is the biggest value? (a) -35/2 (b) -307/3 (c) -3/2
c
Which is the fifth smallest value? (a) -3 (b) 24.6 (c) -22/9 (d) -5/8 (e) 2/5
b
Which is the smallest value? (a) 1/8 (b) 0.3 (c) -1776 (d) -2/11 (e) 2
c
Which is the biggest value? (a) 0.002886 (b) 0.3 (c) -1/2
b
What is the smallest value in 14/135, -3, 1/10, 4/5, 0, -2/9?
-3
Which is the biggest value? (a) -2249 (b) -5 (c) -2 (d) 1 (e) -1
d
What is the third biggest value in 69, -3, 9, 121?
9
What is the biggest value in -80, -2, 2/13, -8, 3?
3
What is the sixth smallest value in -697/4, -4, -0.4, 0.5, -3, 0?
0.5
What is the fourth biggest value in 5, 4.8, 3, -0.4, 4, 5.9?
4
Which is the biggest value? (a) -99 (b) -1/4 (c) 2/155
c
What is the third biggest value in 5, -0.019, 2724?
-0.019
What is the biggest value in -215, 3, -0.094?
3
Which is the sixth smallest value? (a) 3 (b) -3.3 (c) -1/2 (d) -0.2 (e) 4 (f) -30.2
e
What is the smallest value in 0.1, -0.3, 1, 0.0631?
-0.3
Which is the fourth smallest value? (a) 0.33 (b) 5 (c) -1/30 (d) 3
b
Which is the biggest value? (a) 73.54 (b) 2 (c) 5
a
What is the fourth smallest value in -0.0967, 1/5, -2, 2?
2
Which is the third smallest value? (a) 2/3 (b) 0.12 (c) 5/8 (d) -2 (e) 36
c
Which is the fourth smallest value? (a) 3/4 (b) 77 (c) -3 (d) 3/2 (e) -16
d
Which is the biggest value? (a) -0.01 (b) 2 (c) 776 (d) 0.2 (e) -2 (f) -1/2
c
What is the fourth smallest value in -2/9, -98, -9/2, -10/7?
-2/9
What is the third biggest value in -5, 2/3, -1, 8, 5?
2/3
What is the third biggest value in 0.1, 28/9, 1, -2?
0.1
What is the fourth smallest value in 355, 1, 2, 3?
355
Which is the third smallest value? (a) -3 (b) 4/5 (c) -33.8846
b
Which is the second biggest value? (a) -175 (b) 0.12 (c) -1
c
What is the second smallest value in -443, 2/5, 5, -1/2, -4/5, -2/7?
-4/5
What is the fourth biggest value in 71, 18, 0.06, -1?
-1
What is the second biggest value in 6, -30/11, -0.15?
-0.15
Which is the third biggest value? (a) 0.4 (b) 202 (c) -0.5 (d) 0.383
d
What is the third smallest value in -6, 0.5, 0.7, 3/1990?
0.5
What is the second biggest value in -0.1, 2/11, -9, 3/8, 3, -1?
3/8
What is the second smallest value in 0.0451, -5.6, 3?
0.0451
What is the second biggest value in -1/7, -2.5, -1/60?
-1/7
Which is the smallest value? (a) 3/11 (b) 2/15 (c) -7 (d) 31
c
Which is the fifth biggest value? (a) 0 (b) 3 (c) 0.3 (d) -6/11 (e) 31
d
Which is the fourth biggest value? (a) -32 (b) -7 (c) -36 (d) 5 (e) 2/9
a
Which is the second smallest value? (a) -3 (b) 1/71 (c) -25 (d) -2/3
a
What is the third biggest value in -7/5, -0.3, -2, -2/31, -4?
-7/5
What is the third smallest value in 0.4, -1360, 2/9, -76?
2/9
Which is the third smallest value? (a) 0.1 (b) 24/13 (c) -1.2 (d) -2
a
What is the fourth biggest value in -6/25, -11, -3, 50, -1?
| {
"pile_set_name": "DM Mathematics"
} |
f + 7. Let v be t(-6). Let j be v/3*3*2. Let b = 1 + j. What is the remainder when 8 is divided by b?
2
Suppose -i = 5*y - 62, -5*y = -4*i + 326 - 28. Calculate the remainder when i is divided by 15.
12
Let t = 18 + -11. Let n(v) = -v**3 + 9*v**2 - 9*v + 2. What is the remainder when n(t) is divided by 13?
11
Let a(k) = -k**3 - 3*k**2 - k - 3. Let c be 2 + (35 - -1)/(-3). Let z = 6 + c. What is the remainder when a(z) is divided by 9?
8
What is the remainder when ((-4)/(-6))/((-6)/(-162)) is divided by 7?
4
Let l = -32 + 71. Let g(o) = o**2 + 20. What is the remainder when l is divided by g(0)?
19
Let g be (1 + -3)/((-12)/150). Suppose -b + 3*o + 5 = 0, 2*b - 4*o = -b + g. What is the remainder when b is divided by 7?
4
Let b = 23 + 3. Calculate the remainder when b is divided by 9.
8
Let y(v) = v**3 - 6*v**2 + 8*v - 5. Suppose 2*u + 5 - 15 = 0. Calculate the remainder when 28 is divided by y(u).
8
Suppose j + 3 = -5*r, 2*r - 3*j - 6 = -j. Suppose y + r = 2. Calculate the remainder when 32 is divided by (-9 - y)*-1*1.
10
Suppose 46 = r - 3*r. Let a = -14 - r. Let j(m) = 5*m - 14. What is the remainder when j(8) is divided by a?
8
Suppose 32 = i + 3*i. Let k = 42 - 29. Calculate the remainder when k is divided by i.
5
Suppose 0*s = 3*s + 3, 0 = 2*a - 5*s - 11. Let h(g) = 4 + 3 + g**2 - 11. Calculate the remainder when h(a) is divided by 2.
1
Suppose r - 122 = -3*u + 2*r, 4 = -2*r. Suppose -5*x + 5*c + 80 = 0, 3*x - 4*c = 23 + 27. Calculate the remainder when u is divided by x.
12
Suppose 0 = -2*a - 73 + 205. Let x = -11 - -15. Suppose x*p - p = a. What is the remainder when p is divided by 8?
6
Suppose 5*i = 5*f + 160, 9*f = 6*f + 12. What is the remainder when i is divided by 19?
17
Suppose 5*n + 15 = 4*n - 5*v, -5*n - 2*v + 17 = 0. Calculate the remainder when 18 is divided by n.
3
Suppose -j + 0 + 4 = 0. What is the remainder when 11 is divided by j?
3
Let k(b) = b**3 + 5*b**2 - 7*b - 4. Let o be k(-6). Suppose -7*c + 9 - o = 0. Calculate the remainder when 2 is divided by c.
0
Let z(o) = 3 - 5 - 6*o + 6 + 6*o**2. Let x(k) = -7*k**2 + 7*k - 5. Let u(l) = 5*x(l) + 6*z(l). Calculate the remainder when 32 is divided by u(-3).
10
Let n = 30 - 11. What is the remainder when n is divided by (1/(-1))/(2/(-14))?
5
Suppose -5*i + 5 + 5 = 0. Suppose 5*d = 25, -2*d = -5*c + i*c + 92. Calculate the remainder when c is divided by 12.
10
Suppose 3*i = 4*s - 14, -5*i - s = -3*s + 14. Suppose 3*l - 25 = 2. Let r = l + i. Calculate the remainder when r is divided by 3.
1
Let k be (1 - 3)/(4/(-16)). Let h = -7 + k. Calculate the remainder when 21 is divided by 9 + (0 - (-2)/h).
10
Calculate the remainder when 19 - 9/(-12)*-4 is divided by 9.
7
Let y(k) = 2*k - k - k**2 + 9 + 6*k. Calculate the remainder when 2 is divided by y(8).
0
Suppose -q - 5*r = -68, -r = -0*r - 3. Let k(u) = 5*u**3 - u**2 - 1. Let b be k(-2). Let i = -27 - b. Calculate the remainder when q is divided by i.
17
Let y(r) = 19*r**2 - 4*r + 6. Let o be y(4). Calculate the remainder when 28 is divided by o/30 - (-2)/10.
8
Let i(r) = r**3 - 11*r**2 + 11*r - 9. Let v be i(10). Let q be 2 + 2 + 1 + 0. Calculate the remainder when 9 is divided by v/1*1*q.
4
Calculate the remainder when -1*((-160 - (-4 + 3)) + 0) is divided by 8.
7
Calculate the remainder when 1 - (-1 - 0)*61 is divided by 21.
20
Suppose 5*p + 15 = 5*v, 2 = -4*p + 3*v - 10. Let m = 6 + p. Suppose -22 - 5 = -m*x. What is the remainder when 17 is divided by x?
8
Let y = -14 - -29. Calculate the remainder when (-172)/6*6/(-4) is divided by y.
13
Let i(r) = -23*r**3 - 2*r**2 + r + 2. What is the remainder when 85 is divided by i(-1)?
19
Let u = -11 + 32. Let b be 1 + (-3)/(-6)*-134. What is the remainder when u is divided by (-12)/18*b/4?
10
Let b(w) = 3*w - 23. Calculate the remainder when 4 is divided by b(9).
0
Let z be ((-31)/(-3))/((-2)/6). Let c = -9 - z. Calculate the remainder when c/2 + 1 - 0 is divided by 7.
5
Let j(l) = 2*l**2 + 8*l + 3. What is the remainder when j(-5) is divided by 5?
3
Let i(t) = t**3 + 2*t**2 - 3*t + 2. Let a be i(-3). Let o be 3 - (0 + a/2). Calculate the remainder when 47/7 - o/(-7) is divided by 3.
1
Let i be 17/(-2)*(7 - 5). Let k = -9 - i. What is the remainder when k is divided by 6?
2
Let p(z) = -z**2 - 11*z - 6. Calculate the remainder when 85 is divided by p(-4).
19
Let k(t) = -t**3 - 4*t**2 + 2*t - 1. Let b be k(-4). Calculate the remainder when (-353)/b - 2/9 is divided by 20.
19
Let q = -16 - -40. Let y(m) = m**3 + 4*m**2 - m - 1. What is the remainder when q is divided by y(-2)?
6
Suppose -22 = -8*a + 3*a + 4*h, -3*a + 2*h = -12. Suppose 5*x = -2*p + 18 - 67, -25 = 5*x. Let k = p + 17. Calculate the remainder when k is divided by a.
1
Let p(o) = -o + 11 + 3 - 7. What is the remainder when p(0) is divided by 2?
1
Let j(r) be the second derivative of -r**3/6 + 29*r**2/2 - 3*r. Calculate the remainder when j(12) is divided by 7.
3
Suppose -2*w + 35 = 7. Let z = w - 1. Suppose 2*d - z = 37. Calculate the remainder when d is divided by 9.
7
Suppose -5*j - 2 = -2*w, -4*j + 3 - 5 = -2*w. Calculate the remainder when 41 is divided by (2/w)/(3/21).
13
Let r = 24 - -5. Let p = r - 17. Calculate the remainder when 47 is divided by p.
11
Let c = -13 - -15. Suppose -5*j + j = -5*f + 22, c*j - 4 = -5*f. What is the remainder when 5 is divided by f?
1
Suppose 6*t + 18 - 246 = 0. What is the remainder when 227 is divided by t?
37
Let b be 2*2/(8/(-138)). Let x be b/2*(-24)/9. Suppose 5*v - x = -4*f - 0*f, 4*f + 108 = 5*v. Calculate the remainder when v is divided by 11.
9
Let q(g) = -3*g - 4. Let c(h) = h**2 - 7*h + 7. Let w be c(5). Calculate the remainder when (-2)/(-6) - 44/w is divided by q(-4).
7
Let h(g) = g**3 + 5*g**2 + 4*g. Let z be h(-3). Calculate the remainder when 78 is divided by (z/9)/(4/162).
24
Suppose 4*d = 5*q + 247, 2*d = 3*q + 16 + 109. Let g = 155 - 111. Suppose -4*t - g = -124. What is the remainder when d is divided by t?
18
Suppose -217 = -2*w + 3*y, 0*y - y - 219 = -2*w. Suppose -5*h + w = -60. What is the remainder when h is divided by 9?
7
Suppose -y + 435 = 4*y. Calculate the remainder when y is divided by 18.
15
Let u = -2 + 2. Suppose 0 = -4*j, 3*j - 160 = -3*w - 2*w. Calculate the remainder when w is divided by -1 - -12 - u/(-1).
10
Let q = 31 + -15. Suppose -4*a + q = s - 5*s, -3*a + 8 = -2*s. Calculate the remainder when (-147)/2*s/6 is divided by 17.
15
Calculate the remainder when (-168)/(-6) - -1*4 is divided by 17.
15
Let p = 19 - 12. What is the remainder when 67 is divided by p?
4
Let d = -2 + 10. Let t be -1 + 1/(-1) - 3. Let p = 10 - t. What is the remainder when p is divided by d?
7
Suppose 0 = -4*s + 3*b + 25 + 11, -36 = -4*s + 5*b. Let t = 13 - s. What is the remainder when 6 is divided by t?
2
Let l = -14 - -26. Let b(f) = 4*f**3 + f**2 - 1. Let x be b(1). What is the remainder when x/(-18) - 600/(-27) is divided by l?
10
Suppose 12 = -2*f + 4*j, -5*f + 6*f = -2*j + 10. Suppose -c + f*c = 79. Suppose -4*g - 3*w = -c, 3*w - 5 = -2*w. What is the remainder when g is divided by 7?
5
Let n(k) = 7*k + 7. What is the remainder when n(6) is divided by 26?
23
Suppose c = -5, 3*o = 6*o - c - 86. Suppose -n = -3*v + 4, -3*n - 2*v = v + 36. Calculate the remainder when o is divided by 4/n + 156/15.
7
Let p = 56 - 36. What is the remainder when 34 is divided by p?
14
Let l = 116 + -79. What is the remainder when l is divided by 20?
17
Let u = 83 - 44. Calculate the remainder when u is divided by 11.
6
Suppose 32 - 64 = -t. What is the remainder when t is divided by 7?
4
Let y = 119 + -32. What is the remainder when y is divided by 22?
21
Let j be 12/10*(-10)/(-4). Suppose -j*f = -2*f - 7. Calculate the remainder when 18 is divided by f.
4
Let w(x) = -x**3 + 13*x**2 - 15*x - 13. Let g be w(11). Suppose -24 - g = -4*u. Calculate the remainder when u is divided by (36/15)/(1/5).
10
Let x(w) = 13*w**3 - 2*w + 1. Let p be x(1). Suppose 0*m = -3*m + p. Calculate the remainder when 5 is divided by m.
1
Let m = -4 + 19. Calculate the remainder when (4 + 4 + -4)*27/4 is divided by m.
12
Suppose 0*s - 3*s + 66 = 0. Suppose -91 - 119 = -5*h. What is the remainder when h is divided by s?
20
Suppose 4*t = t + 5*s + 532, 3*s + 876 = 5*t. Let v = -24 - -44. Calculate the remainder | {
"pile_set_name": "DM Mathematics"
} |
mainder when i(19) is divided by t?
33
Let r(o) = 2*o**2 - o + 3. What is the remainder when r(15) is divided by 49?
46
Let x = -35 - -52. Suppose 0 = -v + 2*g + x, -5*g + 0*g = -v + 26. Let h(k) = -6*k - 10. Calculate the remainder when h(-7) is divided by v.
10
Suppose -2*u + 17 = -11. Let m be (-45 + -1 + 0)/(29/(-87)). Suppose -3*x - 2 - 1 = 0, -2*i = -4*x - m. Calculate the remainder when i is divided by u.
11
Let v(z) = z**3 + 21*z**2 + 2*z + 48. What is the remainder when 19 is divided by v(-21)?
1
Let l = 48 - -30. Calculate the remainder when 149 is divided by l.
71
Let h = 31 - 53. Let u = -13 - h. Calculate the remainder when 14 is divided by u.
5
Suppose 31*r - 689 = 18*r. What is the remainder when 155 is divided by r?
49
Calculate the remainder when 0 + 1 - 4 - (-1649)/17 is divided by (-236)/(-10) - (-2)/5.
22
Let d(v) = v**2 + 2*v + 4. Let f be 2 - -2 - (-2 - 2). Calculate the remainder when ((-146)/f)/(6/(-24)) is divided by d(3).
16
Suppose -3*y - 32 = 4*c + 25, -19 = y - 4*c. Let g = y - -30. What is the remainder when 43 is divided by g + 1 - (-3 - -6)?
7
Suppose -4*f + 185 = f - 2*q, -4*f - 4*q = -176. What is the remainder when 466 is divided by f?
37
Let q(k) = -k**3 - 3*k**2 + 2*k - 5. Let l(a) = a**3 + 4*a**2 - a + 5. Let b(g) = -4*l(g) - 3*q(g). Calculate the remainder when 35 is divided by b(-7).
8
Suppose 0*l - 5*l = 4*a - 65, -5*l + 5*a + 20 = 0. What is the remainder when l is divided by 18/(-3)*(-5 + 4)?
3
Suppose 50 = 3*z + 5*x, 5*z - 15*x = -13*x + 104. What is the remainder when z is divided by 14?
6
Suppose -3*g + 40 = 4*b, -5*g - 2*b = -7*b - 55. What is the remainder when 45 is divided by g?
9
Let l = -4492 + 4496. Let n(a) = -a**3 + 6*a**2 - 3*a - 1. What is the remainder when n(5) is divided by l?
1
Let m(f) = -2*f + 1. Let g(c) be the second derivative of -c**5/10 - c**4/4 + c**3/2 + c**2/2 + 5*c. What is the remainder when g(-3) is divided by m(-3)?
5
Suppose 3*a + 6 = 0, -8*q + 2*a - 152 = -11*q. Calculate the remainder when 206 is divided by q.
50
Suppose 4*u = 2*l - 32, 0*l + 4*u = 5*l - 62. Suppose -3*h - 4 = -l. Suppose h + 34 = 2*i. What is the remainder when i is divided by 10?
8
Let f(r) = -r**3 + 7*r**2 + 2*r - 14. Let i be f(7). Suppose i = 14*d - 714 - 1176. What is the remainder when d is divided by 17?
16
Let b(f) = 9*f**2 + 2*f + 10. Calculate the remainder when b(3) is divided by 34.
29
Let d(j) = 3*j - 18. Let z = 43 - 34. Calculate the remainder when d(z) is divided by (-4 - 1)*54/(-45).
3
Suppose 7*z = 60 + 52. Suppose 2*p = -5*v - p + 374, 3*p = 2*v - 158. What is the remainder when v is divided by z?
12
Let m(i) = -i**3 - 50*i**2 - 8*i - 148. Calculate the remainder when m(-50) is divided by 84.
0
Let c(z) = -z**2 - 18*z + 1. Let t be c(-21). Calculate the remainder when (-1)/(-3) - (-179)/3 is divided by (t/6)/(1/(-3)).
29
Let u be (20/(-8))/5*-126. Suppose 8*a - u = 5*a. What is the remainder when a is divided by (-5)/((-10)/(-8)) + 16?
9
Let r be (66/55)/(2/745). Suppose -4*j + j + r = 0. What is the remainder when j is divided by 51?
47
Let l(m) = m**3 - 12*m**2 + 13*m + 16. Calculate the remainder when l(11) is divided by 35.
3
Let m = 17 - 14. Suppose m*y + 2*d = -0*d + 276, -5*y + 465 = 5*d. What is the remainder when y is divided by 31?
28
Suppose 3*r - 9 = 72. Calculate the remainder when r is divided by 18.
9
Suppose -3*k + 110 = 5*f - 0*k, 5*f = 5*k + 110. Let p = f + 21. Calculate the remainder when p is divided by 5.
3
Let l be (-5110)/(-25) + (-6)/(-10). Suppose 5*v + 5*j - l = 0, 5*v - 3*j = 6*v - 49. What is the remainder when v is divided by 20?
17
Let b = -140 + 228. What is the remainder when b is divided by 23?
19
Let t(i) = 100*i**2 + i + 1. Let j be t(-3). Let y be j/8 + (-2)/8. Suppose -310 = -3*l - y. What is the remainder when l is divided by 23?
20
Calculate the remainder when (-3)/6*(1 - (-945)/(-9)) is divided by 37.
15
Suppose -u + 5*q = 6, 3*u - 5*q = 7 + 5. Let c = 12 - u. Suppose c*a = -2*a + 145. What is the remainder when 57 is divided by a?
28
Let j(a) = -5*a - 8. Let r(w) = 5*w - 11*w - 6 + 6*w**2 - 4*w**2. What is the remainder when j(-7) is divided by r(5)?
13
Let z be (6/10)/(8/80). Suppose z*a - 22 = 4*a. What is the remainder when 32 is divided by a?
10
Suppose 0 = 2*q - 104 - 366. Suppose 7*l = 12*l - q. Suppose -v = -l - 10. Calculate the remainder when v is divided by 12.
9
Suppose 5 = j - 3. Suppose 0 = c + h - j, -3*c = -0*c + 5*h - 20. Let i(o) = o**2 - 10*o + 18. What is the remainder when i(10) is divided by c?
8
Let d = 222 - 194. Calculate the remainder when 83 is divided by d.
27
Let n be (-605)/(-5) + -1 + -1. Suppose 0 = -3*j + 34 + n. Calculate the remainder when j is divided by 2/4*2*18.
15
Calculate the remainder when 59 is divided by 2 + (-6 - (-2)/(6/63)).
8
Suppose -2*u + 425 = -29. Let c = -126 + u. Suppose 0 = 22*a + 25*a - 1598. What is the remainder when c is divided by a?
33
Suppose -l - 4*l + 80 = 0. Let t = 2892 - 2886. What is the remainder when l is divided by t?
4
Let s be (3/6)/(6/(-168)). Let z = s - 181. What is the remainder when (-4511)/z - (-2)/(-15) is divided by 4?
3
Let p(b) be the third derivative of b**5/60 - 7*b**3/2 + 13*b**2. Calculate the remainder when p(-7) is divided by -1 + 2 + 45/3.
12
Suppose 20*r - 7731 + 1171 = 0. Calculate the remainder when r is divided by 22.
20
Let k be 1 - (0 + -5)/5. Let g be 15*4 + k + -4. Suppose 0 = -o - o + g. Calculate the remainder when 115 is divided by o.
28
Calculate the remainder when 68 is divided by 10 + 18/(-6) + 19.
16
Suppose -2*w - 2*w - 5*t = -83, 0 = -t + 3. Calculate the remainder when 42 is divided by w.
8
Suppose -3*h - 5*y + 23 = 0, 0 = h + 4*y + 3 - 6. Calculate the remainder when (-82)/(-4 + 3 - 1) is divided by h.
8
Let f be (-6)/15 - (-36)/15. Suppose -t = f*t - 120. Suppose 3*a + 2*m = -a + 94, 3*a = 5*m + 38. Calculate the remainder when t is divided by a.
19
Let a = -561 - -602. What is the remainder when 95 is divided by a?
13
Let d = 65 - -41. What is the remainder when d is divided by 40?
26
Let a(h) = h**3 + 4*h**2 - 6*h + 3. Let o be a(-5). Let m = o + -12. Calculate the remainder when (-322)/(-21)*(-6)/m is divided by 6.
5
Let k = 33 + 12. What is the remainder when k is divided by 10?
5
Let y = 15 + 7. Let c(g) = g**2 + g + 4. Let a be c(0). Calculate the remainder when 63/((-6 - -3) + a) is divided by y.
19
Suppose 47*m - 2318 - 1206 = 377. What is the remainder when m is divided by (-205)/(-7) + (-4)/14?
25
Let q be (10/(-4))/5 - 35/2. Calculate the remainder when (7 - 4) + -6 - q is divided by 8.
7
Suppose 16*v - 2301 = -173. Calculate the remainder when v is divided by 9.
7
Let l = 5368 - 2261. Calculate the remainder when l is divided by 12.
11
Suppose 2*b + 3*s - 222 = -b, 2*b + 3*s - 150 = 0. What is the remainder when 359 is divided by b?
71
Let b(n) = -42*n**2 - n - n**3 - n + 35*n**2 - 12. Let p be b(-7). Calculate the remainder when 5 is divided by (1 - p) + 5 + -2.
1
Let w = 15 - 2. Let z(k) = 2*k**2 - 5*k + 8. What is the remainder when z(6) is divided by w?
11
Suppose -3 = y, 5*y - 461 = 2*g - 2672. What is the remainder when g is divided by 25?
23
Let g = -284 - -297. What is the remainder when 778 is divided by g?
11
Suppose -5*g = -3*o - 2*g + 96, -96 = -3*o - 2*g. Suppose 3*b - 109 = o. Calculate the remainder when b is divided by 10.
7
Suppose 2*l = -2*l + 56. What is the remainder when (-2)/(-12) - 24161/(-222) is divided by l?
11
Let u(i) = 3*i**3 + 71*i**2 - 26*i - 32. What is the remainder when 42 is divided by u(-24)?
10
Let c(f) = f + 4. Let n be c(-3). Let v(l) be the third derivative of 7*l**5/20 + 150*l**2. What is the remainder when v(n) is divided by 4?
1
Let n = -295 - -295. Suppose -4*m - 98 = -4*i - 2*m, n = -3*m + 9. Calculate the remainder when (-2)/(-3) - (-770)/6 is divided by i.
25
Let d(s) = -s**2 - 37*s - 196. What is the remainder when 88 is divided by d(-29)?
16
Let o(s) = s**2 + s + 9. Let v be o(0). Let t = -7 + v. Calculate the remainder when t is divided by 1.
0
Suppose -4*u + 2 = -2, -4*j = 3*u - 91. What is the remainder when j is divided by (-58)/(-8) - 2/8?
1
Calculate the remainder when 280 is divided by (12/((-864)/852))/(1/(-6)).
67
Suppose 0 = 5*p + 2*x - 210, -x - 210 = -21*p | {
"pile_set_name": "DM Mathematics"
} |
hat is 7.03627256 rounded to zero decimal places?
7
What is 0.000167818638 rounded to seven decimal places?
0.0001678
Round 3.635449356 to two decimal places.
3.64
What is -0.84629484 rounded to four decimal places?
-0.8463
What is 0.000004024211 rounded to seven dps?
0.000004
What is 0.0026494338 rounded to four dps?
0.0026
What is 0.0351607682 rounded to 5 decimal places?
0.03516
What is -2525427470 rounded to the nearest one hundred thousand?
-2525400000
What is -97.8323328 rounded to 3 dps?
-97.832
Round 234.5635076 to the nearest 10.
230
What is -0.547729654 rounded to four dps?
-0.5477
Round 0.000023954341 to 5 dps.
0.00002
Round 1026.886977 to the nearest 100.
1000
Round 383952.163 to the nearest 10.
383950
What is -0.0002296297341 rounded to seven dps?
-0.0002296
Round -5.1033828 to 1 dp.
-5.1
What is -0.2624967844 rounded to two decimal places?
-0.26
What is -4623.44574 rounded to the nearest 100?
-4600
Round -0.00164157206 to four decimal places.
-0.0016
Round 33.12017463 to three dps.
33.12
What is -10147860786 rounded to the nearest 1000000?
-10148000000
What is 0.000662735771 rounded to 4 decimal places?
0.0007
Round -0.1339764811 to five dps.
-0.13398
What is -790088.81 rounded to the nearest one million?
-1000000
Round 201.5146689 to the nearest 10.
200
What is -0.01717445846 rounded to 4 decimal places?
-0.0172
What is 1829780.59 rounded to the nearest 1000?
1830000
What is 564.3531738 rounded to the nearest ten?
560
Round -389790230 to the nearest 1000000.
-390000000
What is 3647697065 rounded to the nearest 1000000?
3648000000
Round -2356.497092 to one dp.
-2356.5
What is 0.225029691 rounded to four decimal places?
0.225
Round 367.8975275 to 1 decimal place.
367.9
Round 0.3013552724 to 2 dps.
0.3
Round -1007.9105944 to the nearest one hundred.
-1000
What is -5414827.4 rounded to the nearest 10000?
-5410000
Round -135.615713 to 0 dps.
-136
What is -0.111609313 rounded to 1 dp?
-0.1
What is -722478.16 rounded to the nearest 1000?
-722000
What is -4.7029348 rounded to one decimal place?
-4.7
Round -4723.51045 to the nearest 10.
-4720
Round 69.864238 to one dp.
69.9
What is 2.567045876 rounded to four decimal places?
2.567
What is 0.0830700613 rounded to 2 dps?
0.08
What is -23226775 rounded to the nearest one million?
-23000000
Round -1.2314804 to two dps.
-1.23
What is 0.00970991691 rounded to 4 decimal places?
0.0097
What is 103577556 rounded to the nearest 100000?
103600000
Round -19999.60401 to the nearest one thousand.
-20000
Round -94.4812024 to the nearest 10.
-90
Round -87.0611346 to 1 dp.
-87.1
Round 41382.3943 to the nearest 100.
41400
Round -156.655531 to the nearest ten.
-160
What is -126.492305 rounded to the nearest integer?
-126
Round -0.000003413359 to 7 dps.
-0.0000034
Round 664767.6616 to the nearest ten thousand.
660000
Round -26.70396099 to 4 decimal places.
-26.704
What is 186.454983 rounded to the nearest 10?
190
What is -0.008817657698 rounded to five decimal places?
-0.00882
What is -22.2606926 rounded to two dps?
-22.26
What is 177053.978 rounded to the nearest 100?
177100
What is -0.01697568335 rounded to 5 dps?
-0.01698
What is -0.00001853141371 rounded to 6 decimal places?
-0.000019
What is -68337971.69 rounded to the nearest 1000000?
-68000000
What is -0.000785334891 rounded to four dps?
-0.0008
Round -101.1906829 to 0 decimal places.
-101
What is -0.29047815 rounded to 1 dp?
-0.3
Round 0.25251312 to four dps.
0.2525
Round -18.41912927 to 2 dps.
-18.42
Round 6169.31256 to the nearest 10.
6170
What is -0.301943292 rounded to two decimal places?
-0.3
Round -0.0036400538 to 6 decimal places.
-0.00364
What is 33.79979851 rounded to two decimal places?
33.8
Round -0.003550316458 to three decimal places.
-0.004
What is -2229894540 rounded to the nearest 100000?
-2229900000
What is 0.03441416257 rounded to four dps?
0.0344
Round -806002.5886 to the nearest one hundred.
-806000
What is 0.01038683905 rounded to four decimal places?
0.0104
Round -154868821 to the nearest 100000.
-154900000
What is -3228.4384 rounded to the nearest ten?
-3230
Round 266272.047 to the nearest one thousand.
266000
What is 2775173.66 rounded to the nearest ten thousand?
2780000
Round -1754.70522 to 0 dps.
-1755
What is 8363.83338 rounded to the nearest one thousand?
8000
What is -6809.2163 rounded to the nearest 1000?
-7000
What is 0.000009218907 rounded to five dps?
0.00001
What is 1369789470 rounded to the nearest 1000000?
1370000000
Round -0.00002027793575 to five dps.
-0.00002
Round 578286.07 to the nearest one hundred.
578300
What is -0.118703903 rounded to 4 decimal places?
-0.1187
Round 551487.17 to the nearest ten thousand.
550000
What is 510993720 rounded to the nearest 10000?
510990000
Round 0.0093000021 to 6 dps.
0.0093
What is -1942638.15 rounded to the nearest 10000?
-1940000
What is 4689640.16 rounded to the nearest 1000?
4690000
What is 14.212942997 rounded to 2 decimal places?
14.21
Round 26.8407192 to three dps.
26.841
Round -438647.3799 to the nearest one hundred.
-438600
What is -14269.8835 rounded to the nearest one hundred?
-14300
What is -0.000031561617491 rounded to seven decimal places?
-0.0000316
What is -0.01622816877 rounded to four decimal places?
-0.0162
What is 0.000002742290319 rounded to six decimal places?
0.000003
Round -272526820 to the nearest 1000000.
-273000000
Round 0.003591545432 to 5 decimal places.
0.00359
Round -11.437242 to 0 dps.
-11
What is -0.5733439288 rounded to one decimal place?
-0.6
Round 0.0009692016 to five dps.
0.00097
What is -57747.653 rounded to the nearest 1000?
-58000
Round -1.260692099 to 4 dps.
-1.2607
Round -0.005234790555 to 7 decimal places.
-0.0052348
What is -66239.78894 rounded to 0 decimal places?
-66240
Round 2154.5933 to zero dps.
2155
Round 90568175.44 to the nearest 1000000.
91000000
What is -305243.307 rounded to the nearest 100?
-305200
What is 831.3904408 rounded to the nearest ten?
830
What is 14445596348 rounded to the nearest one million?
14446000000
Round 0.00000017995346 to 7 dps.
0.0000002
What is -367.824625 rounded to the nearest 10?
-370
Round 52304404.5 to the nearest one thousand.
52304000
What is -0.0000102414861 rounded to 7 dps?
-0.0000102
What is 408492.413 rounded to the nearest ten thousand?
410000
What is 0.000150941009 rounded to 7 decimal places?
0.0001509
Round 90198768.73 to the nearest 100000.
90200000
Round 0.00045040324 to 6 dps.
0.00045
Round 2759.6846 to the nearest 10.
2760
Round 0.0246838774 to 4 dps.
0.0247
What is -0.197761031 rounded to two decimal places?
-0.2
Round 129340649.6 to the nearest one million.
129000000
What is 60.629823 rounded to the nearest integer?
61
What is 1.97994657 rounded to 2 dps?
1.98
Round -174.860041 to the nearest 10.
-170
What is -1.3286746797 rounded to three dps?
-1.329
What is -0.00000700022247 rounded to six dps?
-0.000007
What is -7312.4919 rounded to the nearest 1000?
-7000
What is -0.0038572558 rounded to four decimal places?
-0.0039
What is 0.502973976 rounded to 3 decimal places?
0.503
Round 18330124.4 to the nearest 1000.
18330000
Round -2.12780813 to 4 dps.
-2.1278
Round 0.00173431892 to five decimal places.
0.00173
Round 0.00486214376 to 5 decimal places.
0.00486
What is -0.0234552342 rounded to four decimal places?
-0.0235
Round -4537724.293 to the nearest one hundred.
-4537700
What is -0.42036093 rounded to three decimal places?
-0.42
What is -7.019147 rounded to 0 dps?
-7
Round -0.000122960602 to six decimal places.
-0.000123
What is -0.0000474521722 rounded to five dps?
-0.00005
Round -0.000032472975972 to 7 dps.
-0.0000325
Round -193.904993 to the nearest integer.
-194
What is -0.00000282944792 rounded to six decimal places?
-0.000003
What is 31.33170394 rounded to one dp?
31.3
What is 10761.9082 rounded to the nearest 10?
10760
What is 291.654969 rounded to the nearest ten?
290
Round -0.023850847 to 5 dps.
-0.02385
What is 745420.65 rounded to the nearest one hundred?
745400
Round 6769.16549 to the nearest ten.
6770
What is 151012571.3 rounded to the nearest 10000?
151010000
What is -0.05657683874 rounded to six decimal places?
-0.056577
What is 2500.412 rounded to the nearest 10000?
0
What is -4817484.78 rounded to the nearest 1000000?
-5000000
Round -0.037620516 to three d | {
"pile_set_name": "DM Mathematics"
} |
between 5:05 PM and 4:00 AM?
655
How many minutes are there between 11:31 PM and 2:24 AM?
173
How many minutes are there between 8:52 AM and 2:51 PM?
359
What is 322 minutes after 2:58 AM?
8:20 AM
What is 628 minutes before 10:40 PM?
12:12 PM
How many minutes are there between 6:06 AM and 7:13 AM?
67
What is 669 minutes before 9:22 AM?
10:13 PM
What is 646 minutes before 3:32 PM?
4:46 AM
How many minutes are there between 1:58 PM and 10:25 PM?
507
How many minutes are there between 11:24 AM and 5:50 PM?
386
What is 474 minutes before 5:33 PM?
9:39 AM
What is 305 minutes after 10:59 PM?
4:04 AM
How many minutes are there between 4:36 PM and 6:20 PM?
104
What is 688 minutes before 1:06 PM?
1:38 AM
How many minutes are there between 9:22 AM and 8:26 PM?
664
How many minutes are there between 4:03 AM and 7:54 AM?
231
What is 103 minutes after 10:08 AM?
11:51 AM
What is 670 minutes before 12:15 AM?
1:05 PM
How many minutes are there between 3:27 AM and 6:49 AM?
202
What is 92 minutes after 7:57 AM?
9:29 AM
How many minutes are there between 7:42 PM and 3:29 AM?
467
How many minutes are there between 11:37 AM and 5:36 PM?
359
What is 103 minutes before 10:14 PM?
8:31 PM
What is 618 minutes before 9:22 PM?
11:04 AM
How many minutes are there between 5:16 AM and 4:47 PM?
691
What is 664 minutes after 9:25 AM?
8:29 PM
What is 480 minutes before 4:07 PM?
8:07 AM
How many minutes are there between 3:55 AM and 10:01 AM?
366
How many minutes are there between 10:04 AM and 2:07 PM?
243
How many minutes are there between 2:47 PM and 7:51 PM?
304
What is 158 minutes before 6:52 PM?
4:14 PM
How many minutes are there between 9:00 PM and 1:43 AM?
283
What is 702 minutes after 6:05 PM?
5:47 AM
What is 643 minutes after 1:54 AM?
12:37 PM
How many minutes are there between 4:49 AM and 9:13 AM?
264
What is 676 minutes before 7:18 PM?
8:02 AM
What is 385 minutes after 12:55 PM?
7:20 PM
What is 253 minutes after 9:18 AM?
1:31 PM
How many minutes are there between 10:49 AM and 12:00 PM?
71
What is 27 minutes after 1:20 AM?
1:47 AM
How many minutes are there between 8:19 AM and 2:58 PM?
399
What is 327 minutes before 9:06 PM?
3:39 PM
How many minutes are there between 7:16 PM and 8:46 PM?
90
How many minutes are there between 6:41 PM and 2:27 AM?
466
What is 400 minutes after 6:15 PM?
12:55 AM
What is 53 minutes after 11:50 PM?
12:43 AM
How many minutes are there between 8:12 PM and 3:20 AM?
428
What is 139 minutes before 2:40 PM?
12:21 PM
How many minutes are there between 11:24 PM and 1:49 AM?
145
How many minutes are there between 1:30 PM and 2:20 PM?
50
How many minutes are there between 6:47 PM and 8:25 PM?
98
How many minutes are there between 6:50 AM and 7:30 AM?
40
How many minutes are there between 11:29 AM and 7:21 PM?
472
What is 665 minutes before 6:28 AM?
7:23 PM
How many minutes are there between 7:32 AM and 9:32 AM?
120
What is 690 minutes before 3:30 PM?
4:00 AM
What is 388 minutes after 6:23 AM?
12:51 PM
What is 191 minutes before 8:13 PM?
5:02 PM
How many minutes are there between 11:07 PM and 2:34 AM?
207
How many minutes are there between 11:24 AM and 6:33 PM?
429
What is 173 minutes after 5:28 PM?
8:21 PM
What is 38 minutes before 3:30 AM?
2:52 AM
How many minutes are there between 7:52 AM and 6:55 PM?
663
What is 394 minutes after 7:28 PM?
2:02 AM
What is 643 minutes after 11:58 PM?
10:41 AM
How many minutes are there between 9:04 AM and 11:19 AM?
135
How many minutes are there between 1:52 AM and 8:20 AM?
388
How many minutes are there between 12:03 AM and 7:49 AM?
466
What is 679 minutes after 1:13 PM?
12:32 AM
What is 186 minutes after 1:11 PM?
4:17 PM
What is 104 minutes before 7:36 AM?
5:52 AM
How many minutes are there between 4:58 PM and 1:43 AM?
525
How many minutes are there between 5:44 AM and 8:20 AM?
156
How many minutes are there between 10:32 PM and 8:31 AM?
599
What is 410 minutes after 1:09 AM?
7:59 AM
What is 480 minutes after 3:39 AM?
11:39 AM
What is 538 minutes before 11:16 PM?
2:18 PM
What is 564 minutes before 9:10 AM?
11:46 PM
What is 103 minutes before 11:56 PM?
10:13 PM
How many minutes are there between 11:36 PM and 11:20 AM?
704
How many minutes are there between 2:55 PM and 7:59 PM?
304
How many minutes are there between 1:47 AM and 10:12 AM?
505
How many minutes are there between 4:05 PM and 5:04 PM?
59
How many minutes are there between 7:43 PM and 7:14 AM?
691
What is 354 minutes before 9:47 AM?
3:53 AM
How many minutes are there between 4:19 AM and 5:13 AM?
54
What is 472 minutes after 12:23 PM?
8:15 PM
What is 321 minutes after 8:56 AM?
2:17 PM
How many minutes are there between 12:11 AM and 3:34 AM?
203
What is 552 minutes after 9:19 AM?
6:31 PM
What is 374 minutes after 11:24 PM?
5:38 AM
How many minutes are there between 12:06 AM and 1:02 AM?
56
How many minutes are there between 1:44 AM and 11:26 AM?
582
What is 321 minutes before 10:52 PM?
5:31 PM
How many minutes are there between 10:41 AM and 5:06 PM?
385
How many minutes are there between 12:21 PM and 10:26 PM?
605
How many minutes are there between 9:27 AM and 8:55 PM?
688
How many minutes are there between 1:34 AM and 4:08 AM?
154
What is 76 minutes before 4:30 AM?
3:14 AM
What is 279 minutes before 5:04 AM?
12:25 AM
How many minutes are there between 3:31 AM and 6:23 AM?
172
What is 584 minutes after 4:19 PM?
2:03 AM
What is 657 minutes before 10:01 PM?
11:04 AM
What is 77 minutes before 3:53 PM?
2:36 PM
What is 470 minutes after 1:49 AM?
9:39 AM
How many minutes are there between 5:19 AM and 7:53 AM?
154
What is 310 minutes after 6:58 PM?
12:08 AM
What is 171 minutes after 7:18 AM?
10:09 AM
What is 387 minutes before 7:23 PM?
12:56 PM
What is 514 minutes before 4:36 PM?
8:02 AM
What is 76 minutes before 2:16 AM?
1:00 AM
How many minutes are there between 5:46 PM and 8:33 PM?
167
How many minutes are there between 11:30 AM and 11:16 PM?
706
What is 420 minutes before 3:47 AM?
8:47 PM
How many minutes are there between 9:31 PM and 9:14 AM?
703
How many minutes are there between 4:24 PM and 4:23 AM?
719
What is 597 minutes before 11:06 AM?
1:09 AM
How many minutes are there between 8:33 PM and 3:04 AM?
391
What is 353 minutes before 11:12 PM?
5:19 PM
How many minutes are there between 11:45 PM and 10:09 AM?
624
What is 137 minutes before 7:41 PM?
5:24 PM
What is 667 minutes before 2:11 AM?
3:04 PM
What is 549 minutes after 1:07 AM?
10:16 AM
What is 416 minutes after 9:31 PM?
4:27 AM
What is 399 minutes after 9:47 AM?
4:26 PM
How many minutes are there between 4:05 AM and 8:25 AM?
260
What is 50 minutes after 12:52 PM?
1:42 PM
What is 480 minutes before 7:02 PM?
11:02 AM
What is 203 minutes before 5:10 PM?
1:47 PM
What is 703 minutes after 4:38 AM?
4:21 PM
How many minutes are there between 4:44 PM and 7:59 PM?
195
What is 707 minutes before 11:18 AM?
11:31 PM
What is 376 minutes before 1:57 AM?
7:41 PM
What is 149 minutes after 12:20 PM?
2:49 PM
What is 325 minutes before 5:33 AM?
12:08 AM
What is 564 minutes before 5:21 AM?
7:57 PM
How many minutes are there between 9:34 AM and 8:01 PM?
627
How many minutes are there between 11:11 AM and 8:44 PM?
573
How many minutes are there between 10:54 PM and 12:37 AM?
103
What is 145 minutes after 9:10 PM?
11:35 PM
How many minutes are there between 4:01 AM and 2:53 PM?
652
How many minutes are there between 1:31 AM and 7:37 AM?
366
What is 360 minutes after 10:56 PM?
4:56 AM
What is 652 minutes after 8:07 AM?
6:59 PM
How many minutes are there between 1:38 AM and 11:29 AM?
591
What is 715 minutes after 8:17 PM?
8:12 AM
How many minutes are there between 3:02 PM and 10:06 PM?
424
How many minutes are there between 11:32 PM and 4:54 AM?
322
What is 432 minutes after 10:12 AM?
5:24 PM
How many minutes are there between 3:22 PM and 6:59 PM?
217
What is 546 minutes before 5:43 PM?
8:37 AM
How many minutes are there between 9:06 AM and 10:06 AM?
60
What is 457 minutes after 1:29 AM?
9:06 AM
What is 76 minutes before 2:27 PM?
1:11 PM
What is 667 minutes before 10:20 PM?
11:13 AM
What is 139 minutes after 8:13 PM?
10:32 PM
How many minutes are there between 9:46 AM and 2:11 PM?
265
How many minutes are there between 9:19 AM and 4:19 PM?
420
What is 331 minutes before 2:38 AM?
9:07 PM
How many minutes are there between | {
"pile_set_name": "DM Mathematics"
} |
nd 132648?
6
Calculate the highest common divisor of 28812 and 164052.
588
Calculate the greatest common factor of 3092004 and 4908.
12
What is the greatest common factor of 1128 and 269617944?
1128
What is the highest common divisor of 130511 and 1710?
19
Calculate the highest common factor of 3453980 and 65.
5
Calculate the greatest common divisor of 10306289 and 178.
89
What is the highest common divisor of 20 and 2691020260?
20
Calculate the greatest common divisor of 5963234 and 3184.
398
What is the greatest common factor of 18707 and 20852?
13
What is the greatest common factor of 1260550 and 1240150?
850
What is the highest common divisor of 124 and 23342473?
31
Calculate the greatest common divisor of 650 and 733150.
50
What is the greatest common divisor of 8 and 2905490?
2
Calculate the greatest common factor of 384 and 1765500.
12
Calculate the highest common factor of 3404547210 and 393.
393
What is the greatest common factor of 580737 and 40533?
177
Calculate the highest common factor of 904267 and 637.
91
Calculate the highest common factor of 13625 and 33625.
125
Calculate the greatest common divisor of 112 and 185051734.
14
Calculate the greatest common divisor of 265972 and 5598628.
1652
What is the greatest common divisor of 1372 and 405524?
196
What is the highest common divisor of 7334620 and 131300?
2020
Calculate the highest common divisor of 30 and 749010.
30
What is the greatest common divisor of 17440 and 3395350?
1090
What is the highest common divisor of 223850 and 365486?
814
Calculate the greatest common factor of 104914477 and 631.
631
What is the greatest common factor of 40484 and 104458?
58
Calculate the greatest common divisor of 17055 and 14818521.
1137
What is the greatest common divisor of 4857120 and 5520?
240
What is the highest common factor of 22557331 and 58?
29
Calculate the greatest common divisor of 523410 and 10001.
73
What is the highest common factor of 6802750 and 24875?
125
Calculate the highest common divisor of 512 and 1714728.
8
Calculate the greatest common divisor of 64977 and 547203.
537
Calculate the greatest common divisor of 328500 and 3381750.
2250
Calculate the greatest common divisor of 477 and 6892173.
477
What is the highest common divisor of 507 and 385242091?
169
Calculate the greatest common factor of 39275 and 3375.
25
What is the highest common factor of 54898880 and 640?
320
What is the greatest common factor of 4387560 and 45?
15
Calculate the highest common divisor of 3864898 and 21084.
502
What is the greatest common factor of 7307037 and 48?
3
What is the greatest common factor of 5084618 and 48224?
3014
Calculate the greatest common divisor of 280078 and 82.
2
Calculate the highest common divisor of 26434058 and 518.
518
Calculate the greatest common factor of 9050 and 11427254.
362
What is the highest common factor of 675 and 142262352?
27
Calculate the greatest common factor of 890 and 529130.
10
What is the greatest common divisor of 17643131 and 3025?
121
What is the greatest common factor of 3901233 and 1029?
147
What is the highest common factor of 5026 and 2888873?
359
Calculate the highest common factor of 142 and 7474667.
71
What is the highest common divisor of 740888 and 121952?
296
What is the highest common divisor of 57755895 and 15?
15
What is the highest common factor of 4026708 and 580?
116
Calculate the greatest common divisor of 158862301 and 5798.
2899
What is the highest common divisor of 34736 and 10082792?
1336
Calculate the greatest common divisor of 2266274 and 71224.
614
What is the greatest common factor of 26400 and 5004384?
1056
Calculate the greatest common divisor of 21523423 and 9821.
1403
Calculate the highest common divisor of 32 and 9591880.
8
Calculate the highest common factor of 59327702 and 3892.
1946
What is the highest common divisor of 3540 and 4116740?
20
Calculate the highest common divisor of 41667 and 5289258.
2451
What is the greatest common divisor of 9 and 19916460?
9
Calculate the highest common divisor of 15664726 and 66.
22
What is the highest common divisor of 44016 and 51614?
262
Calculate the highest common factor of 507653 and 29467.
373
Calculate the highest common factor of 12 and 976107.
3
Calculate the highest common divisor of 3000 and 11500000.
1000
What is the highest common factor of 927802 and 2765666?
1774
What is the highest common divisor of 41926763 and 106?
53
Calculate the greatest common factor of 35630 and 644037700.
5090
Calculate the greatest common factor of 581 and 17025939.
7
Calculate the highest common factor of 8592 and 600.
24
Calculate the highest common divisor of 5523243 and 299.
23
Calculate the highest common factor of 25 and 761302275.
25
Calculate the greatest common divisor of 109242 and 97776.
126
Calculate the highest common factor of 232 and 2173550.
58
Calculate the greatest common divisor of 457610032 and 484.
44
Calculate the highest common divisor of 24893268 and 2204.
76
Calculate the greatest common divisor of 38861402 and 1861.
1861
What is the greatest common divisor of 1646539804 and 158?
158
Calculate the highest common divisor of 41238 and 20916830.
4582
What is the greatest common divisor of 71532641 and 2326?
1163
What is the greatest common divisor of 148 and 28840316?
148
Calculate the highest common factor of 55440679 and 868.
217
What is the highest common divisor of 8904 and 70861848?
1272
What is the highest common factor of 124687780 and 4662?
518
Calculate the greatest common factor of 25 and 9262441.
1
Calculate the highest common divisor of 634 and 1311429634.
634
Calculate the greatest common factor of 39100 and 3868600.
2300
Calculate the highest common divisor of 64511930 and 1918.
1918
Calculate the highest common divisor of 17883 and 4059.
9
Calculate the greatest common factor of 3707887 and 4216.
17
What is the greatest common factor of 2472 and 601932?
1236
What is the highest common factor of 264 and 35992352?
88
What is the highest common factor of 9435772 and 25491?
293
Calculate the highest common divisor of 124 and 71244.
4
What is the highest common divisor of 40 and 25709240?
40
What is the highest common divisor of 75 and 593357925?
75
Calculate the greatest common divisor of 3546179 and 209.
19
What is the greatest common divisor of 1144825 and 52900?
575
What is the greatest common factor of 44892 and 1986186684?
14964
Calculate the highest common factor of 210245875 and 230.
115
Calculate the greatest common divisor of 115515 and 83385.
765
What is the highest common divisor of 73 and 292770223?
73
Calculate the highest common factor of 173584 and 2352.
16
Calculate the highest common factor of 6115872 and 3857.
133
Calculate the greatest common factor of 735 and 6251040.
15
Calculate the highest common divisor of 2508264 and 259694.
6334
Calculate the highest common factor of 670167489 and 4722.
2361
What is the greatest common factor of 1813 and 20312371?
37
What is the highest common factor of 61270 and 492034862?
12254
Calculate the highest common divisor of 121 and 4283.
1
What is the greatest common factor of 151 and 651414?
151
What is the greatest common factor of 61872 and 1040223?
3867
What is the highest common divisor of 2755354 and 123977?
1393
What is the highest common divisor of 16008 and 290493?
87
Calculate the greatest common factor of 11077 and 7691519.
583
Calculate the highest common divisor of 144743 and 901.
53
Calculate the greatest common factor of 19390908 and 1392.
348
What is the greatest common divisor of 36805 and 439495?
2165
Calculate the greatest common factor of 1288166 and 143.
11
What is the highest common divisor of 1116738 and 2520?
126
What is the highest common divisor of 159543050 and 186?
62
Calculate the greatest common factor of 2012400 and 69316.
2236
Calculate the highest common factor of 6544 and 2935393.
409
What is the greatest common factor of 660576 and 7707?
21
What is the greatest common divisor of 6209 and 168?
7
What is the highest common factor of 21197 and 2397188?
1927
Calculate the greatest common divisor of 79422843 and 58704.
3669
What is the greatest common factor of 7285134 and 36?
6
What is the greatest common divisor of 9441322 and 44?
22
What is the greatest common | {
"pile_set_name": "DM Mathematics"
} |
be b(2). Let i = 391 - t. Let s = i + -399/2. What is the common denominator of s and -83/20?
20
Let f = -794/5 + 807/5. Let l = -151/40 - 57/40. What is the common denominator of f and l?
5
Let z = -369/584 - -1/146. What is the common denominator of 91/6 and z?
24
Calculate the common denominator of 35/3 and (-32)/(-6) + -1 - (-12 + 10).
3
Let b = -9 + 7. What is the common denominator of 34/9 and 26*(-15)/66 - b?
99
What is the common denominator of 34/(-3)*15/(-4) and -107/10?
10
Suppose 5*p - 4*c - 125 = -c, 3*p - 5*c = 91. Calculate the lowest common multiple of p and 2.
22
Let w = 37 + 13. What is the lowest common multiple of 5 and w?
50
Let g(a) be the third derivative of a**4/24 + 5*a**3/3 - a**2. What is the lowest common multiple of 4 and g(0)?
20
Let z = 4582 + -27397/6. Let h = -8 - 34. Find the common denominator of z and 14/(-60)*27/h.
60
Suppose 0 = 5*s - s. What is the common denominator of -85/4 and -8*4 - (-1 - s)?
4
Let p = 2 + 0. Let n = -10 - -46. Suppose n + 9 = 5*q. What is the smallest common multiple of q and p?
18
Suppose 5*h - 15 = h - 5*n, -2*h + 5 = 5*n. Let g(a) = -a**2 + 8*a - 5. Calculate the least common multiple of 8 and g(h).
40
Let n = 3789 - 68099/18. Let o = 4216 - 84263/20. What is the common denominator of n and o?
180
Let o = -1518 + 12163/8. Let x(h) = -12*h**2 - 3*h - 2. Let v be x(-3). Find the common denominator of (-3)/2*v/(-30) and o.
40
Let k = 44 - 24. Suppose 2*y = 0, -5*y = 5*u - u + 12. Let v = u + 13. What is the smallest common multiple of v and k?
20
Let q = -206/45 + 34/9. Let a = -2095 - -29243/14. Calculate the common denominator of q and a.
70
Let r(h) = 7*h - 9. Let d be r(6). What is the common denominator of (d/(-32))/((-1)/(-4)) and 43/10?
40
Let j = 5/12 + 5. What is the common denominator of j and -15/14?
84
Suppose -1 - 5 = -3*c. Calculate the common denominator of (c/(-20))/((-2)/(-57)) and -63/20.
20
Let m(u) = -2*u**2 - 14*u - 10. What is the lowest common multiple of m(-5) and 6?
30
Let t = -411 - -412. Suppose 0 = -f - 3*i + 8, 0*f - 4*i = 5*f - 40. Calculate the lowest common multiple of f and t.
8
Suppose 0 = 5*h + r + 428, h = 3*r - 7*r - 78. Find the common denominator of -49/10 and h/(-20)*-3 + 3.
10
Let v = -2413/72 - -215/9. Let n = -7645/14 + 545. Find the common denominator of v and n.
56
Let b = -144/23 + 2669/92. Find the common denominator of b and -56/9.
36
Calculate the common denominator of 2*-2 + 15/(-58)*-13 and 53/20.
580
Let h = 4088/3 + -1376. Let b be 2/6 - (-1167)/9. Find the common denominator of (5/20)/((-1)/b) and h.
6
Suppose 2*p - 3*p - 1548 = -5*v, -5*p - 3*v = 7628. Let c be 1/(p/(-10871)) + -1. Let d = 2/191 + c. Calculate the common denominator of -55/18 and d.
72
Let w = -10 + 7. Let k(x) = 12*x - 3. Let v(q) = 6*q - 1. Let d(b) = -3*k(b) + 5*v(b). Calculate the smallest common multiple of 22 and d(w).
22
Let n = 23/119 + -4153/1785. Calculate the common denominator of 14/27 and n.
135
Let a = 227/9 + -1285/72. What is the common denominator of -67/8 and a?
8
Suppose -4*f + 38 = 2*w - 0*w, 3*w = 4*f + 17. Calculate the least common multiple of w and 32.
352
Let l = -12 - -32. What is the least common multiple of l and 10?
20
Suppose 0 = 5*h - 16182 - 3768. Let x = h + -39981/10. Let t = 1001/34 + -84/17. What is the common denominator of x and t?
10
Let r(h) = h**2 + 3*h + 5. Let j be r(-4). Suppose 0 = -5*t + 44 - j. Calculate the least common multiple of t and 11.
77
Let r(j) = -j + 5. Let l be r(4). Let y = l - 9. Let m = y + 13. Calculate the lowest common multiple of m and 9.
45
Let d = 4910 + -1469. Let m = -31000/9 + d. Calculate the common denominator of -62/3 and m.
9
Suppose 16 + 26 = 6*i. Calculate the least common multiple of i and 8.
56
Let v = 34 + -24. What is the lowest common multiple of 9 and v?
90
Suppose -s = -4*y - 1, -s + 3 = 2*s - 4*y. What is the least common multiple of s/((-15)/8 + 2) and 14?
56
Suppose 8 = -0*l - l + 5*u, l = -3*u. Find the common denominator of 36/5 and 74/4 + -2 - l.
10
Let q = 17 + -22. Find the common denominator of ((-245)/20)/(q/(-2)) and 43/2.
10
Let k be 9860/(-30)*(-1 + -2). What is the common denominator of 94/60 - 4/10 and k/51*3/8?
12
Let k = 0 - -4. Suppose k = v - 14. Calculate the lowest common multiple of v and 14.
126
Suppose -4*m - 3*o + 21 = 1, -o = -4*m + 36. Let z be 48/(-10)*(-30)/(-4). Let a = -16 - z. Calculate the least common multiple of a and m.
40
Suppose 5*q + 15 = 0, -j = -6*j - 5*q + 5. Calculate the smallest common multiple of j and 8.
8
Let r(v) = -49*v**3 + v + 1. Let w be r(-1). Let x = 69 - w. Calculate the smallest common multiple of x and 8.
40
Suppose -w - 9 = 5*q, 0 = 4*w - 5*q + 4*q - 6. Let j = -18 - -24. What is the least common multiple of w and j?
6
Let n = -84425/14 - -18149/2. Let t = -2662 - -5698. Let l = n - t. What is the common denominator of 121/10 and l?
70
Let w be (-3)/((-3)/2) + -5. Let c = w - -9. What is the lowest common multiple of 2 and c?
6
Find the common denominator of 175/35*(-10)/(-64) and 43/12.
96
Let k = 50845/6021 + -1/6021. Calculate the common denominator of (2/3)/((-4)/(-9)) and k.
18
Find the common denominator of 59/4 and 146/(-12) + (-4 - 0).
12
Let h(d) = d - 10. Let x be h(7). Let f = x + 4. Find the common denominator of f + (2 - 297/42) and -11/2.
14
Let z(c) = 2 - 2 + 4 + 5*c**2 - c**3. Let s be 54/10 - (3 - 65/25). What is the smallest common multiple of 2 and z(s)?
4
Let b = 19 + -43. Calculate the common denominator of (-2)/b*(-9)/(-1) and (-858)/16*6/(-27).
12
Let s be (-49)/6 + (-1)/(-6). Find the common denominator of s/(-44) - (-1302)/220 and 137/12.
60
Suppose 4*k - 15*k = -77. Calculate the least common multiple of k and 5.
35
Let s(j) = -j**2 - 9*j - 10. Calculate the smallest common multiple of s(-5) and 10.
10
Suppose 0 = -7*s + 256 + 24. Find the common denominator of 37/3 and s.
3
Let c = 98 + -54. Find the common denominator of 0/1 - (-200)/c and 22/7.
77
Suppose -11 - 40 = -4*b + 3*o, -2*o + 10 = b. What is the lowest common multiple of b and 6?
12
Suppose 3*w - 9 = -0. Let n(r) = r**2 - r - 1. Let d be n(2). Suppose d + w = u. Calculate the lowest common multiple of 11 and u.
44
Let i be (-2)/(-1) - 4756/28. Let q = i + 18653/112. Let f = 4372 + -35037/8. Calculate the common denominator of f and q.
16
Let m = 30 + -23. What is the smallest common multiple of m and 23?
161
Let c = 4782 - 57277/12. Let d be -1 + (294/89)/3. Let k = -2527/534 - d. What is the common denominator of c and k?
12
Calculate the common denominator of 133/12 and (-3)/(-6) - 145/(-300).
60
Let g = -32086/9 - -3573. What is the common denominator of g and -9/5?
45
Let y(r) = -r**2 + 7*r + 10. Let u be (-22)/(-6) + (-1)/(-3). Suppose -u*x - 16 = -g, 29 = g + 4*g - 3*x. What is the smallest common multiple of g and y(7)?
20
Suppose 2*k + 6 = 2*z, 3*z - 6 - 3 = 2*k. Suppose 0 = -h - z*h + 88. What is the lowest common multiple of 4 and h?
44
Let t = -169 - -813/5. Let j = -6/4399 + 426763/43990. Calculate the common denominator of t and j.
10
Suppose 0 = -3*n - 9, 0 = 2*i + n - 7 + 16. Let u be (2358/1001)/(-1) + i. Let c = -10/143 - u. Find the common denominator of c and 5/6.
42
Let z = -13 + 21. Suppose -z*p + 7*p + 12 = 0. Suppose 12 = 5*v - 8. Calculate the smallest common multiple of v and p.
12
Suppose -2*s + 1 = -2*t - 11, 3*t - 4*s + 16 = 0. Find the common denominator of (-2)/(-12) + 66/t and 93/20.
60
Let u = 89 - 4903/55. What is the common denominator of u and 13/30?
330
Let p = -3/10613 - -838511/297164. Find the common denominator of p and 31/16.
112
Let l(y) = y**2 - 4*y + 1. Let s be l(5). Let k(n) = -n + 3. Let m be k(s). Calculate the smallest common multiple of 22 and 1/m + 13/3.
44
Let j(f) = -5*f + 3. What is the lowest common multiple of j(-1) and 22?
88
Let c(a) = a - 5. Calculate the least common multiple of (-340)/(-35) - (-6)/21 and c(6).
10
What is the smallest common multiple of -2*6/(-3) - (-2 - 0) and 18?
18
Calculate the lowest common multiple of (-2)/(-5) + 136/10 and ((-32)/12)/1*(-9)/6.
28
Suppose 3*r = -3*k - 12, k - 4*r = -2*r - 1. Find the common denominator of 14/10 + (-4 - k) and -7/10.
10
Calculate the least common multiple of (-1215)/(-36) + 6/(-8) and 27.
297
Let z = -4 - -6. Suppose | {
"pile_set_name": "DM Mathematics"
} |
o - 2*o.
-13*o
Collect the terms in d + 0*d + 0*d + 8*d + 2.
9*d + 2
Collect the terms in -71 - 3 - l - 19 - 19.
-l - 112
Collect the terms in -10*f - 2*f + 4*f.
-8*f
Collect the terms in 160*d - 234*d + 79*d.
5*d
Collect the terms in -3 + 5*b - 5*b - 10*b**2.
-10*b**2 - 3
Collect the terms in 2*z**2 + 24 - 8 - 16 - 3*z**2.
-z**2
Collect the terms in 3865*u**2 - 77*u**3 - 3865*u**2.
-77*u**3
Collect the terms in -6*x + 400 - 400.
-6*x
Collect the terms in 4*q + 2*q + 3 + 16*q.
22*q + 3
Collect the terms in 7*q + 21*q - 1 + 8*q.
36*q - 1
Collect the terms in -18*v - 4*v - 14*v + 0*v.
-36*v
Collect the terms in -112*z + 54*z + 56*z.
-2*z
Collect the terms in 807 - 807 - 4*n.
-4*n
Collect the terms in -3288*x + 1644*x + 1646*x.
2*x
Collect the terms in 768*y**3 - 2*y + 2*y - 786*y**3.
-18*y**3
Collect the terms in 63 - 21*h**2 + 60 - 123.
-21*h**2
Collect the terms in 551*p**3 - 407*p**3 + 518*p**3.
662*p**3
Collect the terms in -3*i**2 - 10*i**2 - 3*i + 3*i.
-13*i**2
Collect the terms in 2 + 1 - 6*w + 2.
-6*w + 5
Collect the terms in 2*o - 7*o + 4*o.
-o
Collect the terms in -135*w**3 + 55*w**3 + 28*w**3 + 53*w**3.
w**3
Collect the terms in i - 5483 + 5483.
i
Collect the terms in -15 - 37*d**2 + 15 + 8*d**2.
-29*d**2
Collect the terms in 0 + k + 0 + 3*k.
4*k
Collect the terms in 151*v**2 - 298*v**2 + 90*v**2.
-57*v**2
Collect the terms in 2*y**2 + 28*y - 298 + 298.
2*y**2 + 28*y
Collect the terms in -913995 + 913995 + 10*m**3.
10*m**3
Collect the terms in 0*b + 0*b + 3*b**2 + 8*b**2.
11*b**2
Collect the terms in -16*d**2 - 19*d**2 - 6*d**2.
-41*d**2
Collect the terms in 24*k + 3*k - 22*k + 4*k.
9*k
Collect the terms in 2 - 8*t - 4 + 1 + 0.
-8*t - 1
Collect the terms in -27*x + 18*x - 6*x - 3*x**3.
-3*x**3 - 15*x
Collect the terms in -3*h**2 + 14 - 3 - 11.
-3*h**2
Collect the terms in -8*j - 7*j + 2*j - 6*j**2 + 13*j.
-6*j**2
Collect the terms in 2 + 368*k - 3 + 1 - 370*k.
-2*k
Collect the terms in 5 - 5 - 1 - 2 + 3*g.
3*g - 3
Collect the terms in -2*o - 15024 + 15024.
-2*o
Collect the terms in -3*f**2 + 2*f**2 + 118 - 35.
-f**2 + 83
Collect the terms in -15 - 4*j**2 + 2*j**2 - 3.
-2*j**2 - 18
Collect the terms in 13772*z - 13772*z + z**2.
z**2
Collect the terms in 5*f - 2*f + 6*f**3 - 24*f**3.
-18*f**3 + 3*f
Collect the terms in 12*b - 12*b - 6*b**2 + 5.
-6*b**2 + 5
Collect the terms in 301*p**2 + 10*p**3 - 301*p**2.
10*p**3
Collect the terms in -3 - 4*c + 2*c + 2 - 2.
-2*c - 3
Collect the terms in 0 + 0 + 887*k**2.
887*k**2
Collect the terms in 48*i - 10*i**3 + 45*i + 46*i - 139*i.
-10*i**3
Collect the terms in -6*v**3 + v**3 + 6*v**3 + 5*v**3.
6*v**3
Collect the terms in -349*r**2 - 349*r**2 + 694*r**2.
-4*r**2
Collect the terms in 23*q**3 + 23*q**3 - 18*q**3.
28*q**3
Collect the terms in 3 + o**3 + 5*o**3 - 10*o**3 + 0*o**3.
-4*o**3 + 3
Collect the terms in 5 - 5 + 10275*z**2 - 10273*z**2.
2*z**2
Collect the terms in 11*v**3 + 16*v**3 - 17*v**3.
10*v**3
Collect the terms in -7*u + 76*u + 13*u.
82*u
Collect the terms in -111*m - 111*m + 4*m**2 + 221*m.
4*m**2 - m
Collect the terms in 17 + 2*f + 0*f + 1.
2*f + 18
Collect the terms in -5*z - 2*z + 7*z - 11*z**2.
-11*z**2
Collect the terms in 50*c - 50*c + 3*c**3 + 5 - 5.
3*c**3
Collect the terms in 3*s + s + 0*s + 2*s.
6*s
Collect the terms in 4*z**3 - 11*z**3 - 12*z**3.
-19*z**3
Collect the terms in -3*d**2 + 3*d**2 - 4*d**2 + 3*d**2.
-d**2
Collect the terms in -14*i**3 - 3*i**3 + 77*i**3 + 6*i**3.
66*i**3
Collect the terms in -s**3 - 5*s**3 - 4*s**3 + 5*s**3.
-5*s**3
Collect the terms in 0*c**2 + 0*c**2 + 65*c**3 + c**2 + 33*c**3.
98*c**3 + c**2
Collect the terms in 116*p**2 + 113*p**2 - 229*p**2 + p**3.
p**3
Collect the terms in 16*d**3 - 12*d**3 - 3*d + 3*d.
4*d**3
Collect the terms in 607*r**2 - 608*r**2 - r + r.
-r**2
Collect the terms in 65*z**2 + 66*z**2 + 70*z**2 - 261*z**2 + 67*z**2.
7*z**2
Collect the terms in -4*f**2 + 4*f**2 - f**2 - 5*f**2.
-6*f**2
Collect the terms in -5 - 127*z + 5 + 155*z.
28*z
Collect the terms in 6*a - 5*a + 6*a.
7*a
Collect the terms in -4*l - 7*l + 5*l - 5*l.
-11*l
Collect the terms in 913*j**2 - 1812*j**2 + 900*j**2.
j**2
Collect the terms in h**2 - 59*h + 12*h + 47*h.
h**2
Collect the terms in j - 34*j + j.
-32*j
Collect the terms in 19*w - 2 + 2 + 59*w.
78*w
Collect the terms in 5*y - 7*y**3 - 5*y + 42*y**3.
35*y**3
Collect the terms in -23*n**2 + 0*n**2 + 0*n**2.
-23*n**2
Collect the terms in -138*j**2 + 90*j**2 + 459*j**2 + 227*j**2.
638*j**2
Collect the terms in 130 + 103*h - 130 + 22*h.
125*h
Collect the terms in -593*g**2 + 295*g**2 + 288*g**2.
-10*g**2
Collect the terms in -9*p - 4*p - 9*p + 21*p.
-p
Collect the terms in 3*b**3 + 11*b**3 - 10*b**3.
4*b**3
Collect the terms in -53*a - 49*a + 99*a.
-3*a
Collect the terms in 987*v**2 + 988*v**2 - 1971*v**2.
4*v**2
Collect the terms in -348 + 348 + 21*i**3.
21*i**3
Collect the terms in 98*v**3 + 0*v**2 - 96*v**3 + 0*v**2.
2*v**3
Collect the terms in -42*k**3 + 67*k**3 - 27*k**3.
-2*k**3
Collect the terms in 21*t**2 + 12*t**2 - 11*t**2 + 7*t**2.
29*t**2
Collect the terms in 5 - 5 - 20*p + 8*p + 11*p.
-p
Collect the terms in -29*a**2 - 21 + 29*a**2 + 21 + a**3.
a**3
Collect the terms in 59*q - 39*q - 18*q.
2*q
Collect the terms in 7*i**3 + i**3 + 9*i**3.
17*i**3
Collect the terms in -262 + 262 + 4*u**2.
4*u**2
Collect the terms in -q**2 - q**3 + 5*q**2 + 3*q**2.
-q**3 + 7*q**2
Collect the terms in 146*s + 2 + 217*s - 4.
363*s - 2
Collect the terms in -17*c - 4*c**2 + 17*c + 13*c**2.
9*c**2
Collect the terms in -22*v**2 - 67*v + 67*v + 18*v**2.
-4*v**2
Collect the terms in 234573 + 5*y**3 - 234573.
5*y**3
Collect the terms in -9*b**2 - 2267 + 2267.
-9*b**2
Collect the terms in -4995*s + 4995*s - 5*s**3 + 18*s**3.
13*s**3
Collect the terms in -8*b**3 - 1688*b**2 + 1688*b**2.
-8*b**3
Collect the terms in 801*n + 369*n + 482*n.
1652*n
Collect the terms in -5*a - 49 + 49 + a.
-4*a
Collect the terms in 6*w - 3*w + 3*w + w.
7*w
Collect the terms in 139*s**2 + 6*s**3 - 3*s**3 - 139*s**2.
3*s**3
Collect the terms in 3*j**3 - j**3 - 2*j**3 + j**3 - 2*j.
j**3 - 2*j
Collect the terms in -2*k**2 + 21*k**2 - 10*k**2.
9*k**2
Collect the terms in 3*c + 2*c**2 - 8 + 8.
2*c**2 + 3*c
Collect the terms in -22*u + 8*u - 13*u - 4*u.
-31*u
Collect the terms in -72*h + 144*h - 3*h**3 - 72*h.
-3*h**3
Collect the terms in 79*p**3 + 11*p**3 - 89*p**3.
p**3
Collect the terms in -12 + 24 - 213*p**3 - 12 + 212*p**3.
-p**3
Collect the terms in 1 + 0*c**3 + 3 + 26*c**3.
26*c**3 + 4
Collect the terms in -538*o - 530*o + 1067*o.
-o
Collect the terms in 88*n + 79*n + 87*n + 86*n - 342*n.
-2*n
Collect the terms in 0*q**2 - 3*q**2 + 6*q**2 - 6*q**2.
-3*q**2
Collect the terms in 1 + 2 - 1 + 832*z.
832*z + 2
Collect the terms in 6*n - 37*n**2 - 41*n**2 - 6*n.
-78*n**2
Collect the terms in -6*z + 4*z - 5*z - 2*z.
-9*z
Collect the terms in 5*x**2 + 13*x**3 - 76*x**3 - 6*x**2.
-63*x**3 - x**2
Collect the terms in -4*m**2 + 58375*m - 58375*m - 3*m**2.
-7*m**2
Collect the terms in -3*i - 3*i + 0*i + i + 4*i.
-i
Collect the terms in 3*t**2 - t**2 - t**2 - t**2 + 3*t**2.
3*t**2
Collect the terms in 2*f + 5*f - 3*f + 2*f.
6*f
Collect the terms in 20*s + 5*s**2 + 6*s**3 - 20*s.
6*s**3 + 5*s**2
Collect the terms in 70*z**2 - 40*z**2 - 35*z**2.
-5*z**2
Collect the terms in 7*f**2 + 0 + 0 - 5*f**2.
2*f**2
Collect the terms in 16*k - 7*k - 6*k - 5*k.
-2*k
Collect the terms in -1194*p**3 - 1195*p**3 + 2390*p**3.
p**3
Collect the terms in 19 - 9 - 10 - w.
-w
Collect the terms in -51*u**3 + 67*u**3 + 62*u**3 + 11*u**3.
89*u**3
Collect the terms in 10 + 328*i + 212*i - 10.
540*i
Collect the terms in 2*d**3 + 16 + 3*d**3 - 4*d**3 + 0*d**3.
d**3 + 16
Collect the terms in -3*j + 20*j - 8*j + 16*j.
25*j
Collect the terms in 5*i + 11*i + 3 - 17*i.
-i + 3
Collect the terms in -x**2 + 15 + 11 + 19 - 45.
-x**2
Collect the terms in 0 + 0*d + 0 - 4*d.
-4*d
Collect the terms in -2 - 5 - 19*c - 2 + 5.
-19*c - 4
Collect the terms in 13*q**3 + 20*q**3 - 31*q**3.
2*q**3
Collect the terms in -82*g**2 + 19*g**2 + 24*g**2 + 25*g**2 + 18*g**2.
4*g**2
Collect the terms in -4*r + 30*r**3 + 8*r**3 - 4*r**2 + 4*r.
38*r**3 - 4*r**2
Collect the terms in 0*s**2 + 2*s**2 - 7*s**2 + 4*s**2.
-s**2
Collect the terms in 17*y**3 - 326*y**2 + 326*y**2.
17*y**3
Collect the terms in 0*n**2 | {
"pile_set_name": "DM Mathematics"
} |
. Let x be k(-12). Let t be i(x). Let d be 0/(-1*(t - -1)). Is d bigger than 2/15?
False
Let m = -7291202/735 - -9920. Let d = 3653/8085 - m. Is d smaller than 1?
True
Let l = 9.07 - 10.84. Are l and -0.3 non-equal?
True
Suppose 7*b = 28*b + 126. Let v(s) = s - 28. Let r be v(14). Which is smaller: b or r?
r
Let p(g) = g**3 + 4*g**2 + g + 1. Let z be p(-4). Let h(d) = d**2 + 8*d - 7. Let n be h(-9). Suppose 21 = -n*m + 13. Which is smaller: z or m?
m
Let h = -749 - -17215/23. Is h greater than or equal to 0?
False
Let s be (-4)/8 - (-13)/13. Are s and -2/9 non-equal?
True
Suppose -2*l - 3*l + 5*n - 15 = 0, -5*l + 4*n - 15 = 0. Let f be 1/(4 + 125/(-30)). Let b be (-2*3/f)/(-1). Which is smaller: b or l?
l
Suppose 2*y + 29 = -9. Let r = y + 59/3. Which is bigger: r or 2?
2
Suppose 4*x = x + 42. Let y be x/(-35) - (-96)/(-10). Suppose -2*j - 3 - 17 = 0. Is j bigger than y?
False
Let j = 0.48 - -31.52. Let a be 3 + (-4)/2 + 0. Is j at most as big as a?
False
Let c be (-1)/(681/(-234) - -2). Is c at most 0?
False
Let j = 17/23858 + 541874723/143148. Let o = -3789 + j. Let s = 7/2 + o. Is s equal to 0?
False
Let w(j) be the first derivative of -j**2/2 - 3. Let d be w(-2). Suppose d*q - 4*q = 0. Is q less than -2/5?
False
Let r(d) = 3*d**3 + 7. Let h(a) = 4*a**3 + 8. Let x(y) = -4*h(y) + 5*r(y). Let v be x(0). Let m = -2 + 6. Which is smaller: m or v?
v
Let b be (-2 - 3)/20*-1. Suppose 8*t - 18 = 6*t. Which is bigger: t or b?
t
Let g = -353 - -282. Are -348/5 and g non-equal?
True
Let n = 1.597 + -0.097. Are -1 and n nonequal?
True
Suppose -4 = 4*m - i, -2*m - 3*i = -3*m - 12. Let q = -22 + 22. Let v be q/(-2) - 2/76. Which is smaller: m or v?
v
Let l(b) = -b**2 - 3*b - 49. Let k be l(15). Which is bigger: k or 0?
0
Suppose -c - 118 = -5*r, 0 = -5*c - r + 126 - 638. Which is greater: -914/9 or c?
-914/9
Let a be (-8)/(-6)*81/(-7722). Let v = a + 21/572. Do 1 and v have different values?
True
Let s(h) = h**3 - 6*h**2 + 2*h - 9. Let j be (-8)/(-3)*(-90)/(-40). Let y be s(j). Suppose y*l + l = 4. Is l less than -2/83?
False
Suppose 32 = -5*c + 7*c. Let f be (2/(-11))/(c - 17). Is f at least -0.4?
True
Let s = 53/13 + -771/52. Which is bigger: -12 or s?
s
Let s be 2 + (-3 - (-3 + 3)). Let j be 4*s/(-4) + 1. Suppose -j*b + l + 3 = 0, 5*l + 4 = -1. Is b bigger than -2/7?
True
Let z(p) = -p**2 + 12*p - 1. Let m be z(4). Which is smaller: 125/4 or m?
m
Suppose 0 = -46*v - 61 + 15. Does 1/1862 = v?
False
Let q(n) = n**3 + 7*n**2 + 14*n + 10. Let g be q(-5). Which is smaller: g or -16?
-16
Let b = 0.37 - -0.73. Let n = -31/4 + 97/12. Which is smaller: b or n?
n
Let l = 36/221 + -3557/4199. Which is greater: 0 or l?
0
Let t be (-15272)/28980 - 4/(-7)*1. Which is bigger: t or 0.2?
0.2
Let g be ((-7)/14)/(2/20). Let y be (-9)/g*130/39. Which is smaller: 7 or y?
y
Let h be (-2 + (-60)/(-26))*8/400. Which is smaller: -1 or h?
-1
Let x = -1.56 - -1.66. Does x = -4/11?
False
Let v(d) be the first derivative of d**4/4 + 7*d**3/3 - 9*d**2/2 + d + 30. Let l be v(-8). Is l equal to 7?
False
Let n = 9 + -24. Let a = n + 20. Let d be (13/(-5) + 4)*a. Is d > 7?
False
Let t = 11 - 16. Which is smaller: 0.09 or t?
t
Suppose -1753 - 5195 = 9*m. Which is smaller: m or -773?
-773
Let t = 206 + -214. Let f = 2 - 7. Do f and t have different values?
True
Let o = -44 + 36. Is 0.2 bigger than o?
True
Let f(o) = -o**2 - 7*o - 9. Let w be f(-3). Suppose d = w*j - 6, 0*j - 8 = -4*j + d. Which is greater: 3/11 or j?
j
Suppose 368*k - 370*k - 2*h = 62, 5*k - h = -155. Suppose -2*z = 4*i + 78, -3*z = 5*i - 0*i + 113. Is z greater than k?
False
Let d = -0.0673 + -0.8327. Which is smaller: -26 or d?
-26
Let v = -7247/49362 - -17/114. Which is smaller: 1 or v?
v
Suppose -4*r = 0, -6*t = -2*t - 5*r. Suppose -y = 0, t*i = 5*i + 5*y + 250. Let z be 32/5 - (-20)/i. Which is smaller: z or 5?
5
Suppose -3*z + 6 = 0, -i + 6*i + 239 = -3*z. Let n = i + 344/7. Which is smaller: 0 or n?
0
Let j = 64 - 19. Let n = j + -43. Is n not equal to 0.02?
True
Suppose j = -3*m + 2, -3 = 5*m - 4*j + 5. Are m and 4/21 equal?
False
Let d be 2/(-9) + (-79)/9. Let m = -8 - d. Let z(t) = 3*t**2 + t - 2. Let b be z(m). Which is smaller: b or 1?
1
Suppose 31 = -6*s + 127. Let x be 11/(-9) - s/(-72). Which is bigger: 2/33 or x?
2/33
Let v be 0 - (-12)/(-3) - 54. Let l be 2/4*v/(-39). Let j = -937/1365 + l. Is 1 bigger than j?
True
Let a(n) = 3*n + 39. Let y be a(-17). Let r be 24/28*3/y. Do r and 1 have the same value?
False
Let b(w) = -2*w**2 - 6*w + 5. Let n = -24 + 18. Let p be b(n). Let x = p + 31. Which is bigger: x or -1/14?
x
Let x(t) = 48*t + 54. Let z be x(-1). Which is smaller: z or 87/16?
87/16
Let o be (-4)/(-5)*(-25)/(-10). Suppose -5 = x + c, -x + o*c - 5 = 6. Let q be 12/15*((-825)/10)/11. Which is smaller: q or x?
x
Suppose -5*u + 0*u - 55 = 0. Let b(m) = -9*m + 4. Let i(x) = 5*x - 2. Let p(n) = u*i(n) - 6*b(n). Let l be p(-4). Is 2 equal to l?
True
Suppose -12 = -3*w, -u + 61*w - 2 = 60*w. Suppose 0 = q + b + 101, 3 - 19 = 4*b. Let l = -481/5 - q. Is l >= u?
False
Let i(k) = 45*k + 7. Let q be i(-2). Let d = -337/4 - q. Which is bigger: d or -1?
-1
Let s be ((-256)/(-42) - 6)*(-6)/104. Which is smaller: 1 or s?
s
Suppose -2*o = -3*v + 27 + 13, 30 = -3*o - 3*v. Let p(n) = -n**3 - 15*n**2 - 20*n + 12. Let g be p(o). Which is bigger: g or 95?
g
Let f = 184/25 - 173194/23525. Which is bigger: -1 or f?
f
Suppose -26 = -41*z + 15*z. Which is smaller: z or -1/799?
-1/799
Let a = -1.1 - -0.1. Suppose -105 = 5*n + 3*g, 2*n = -4*g - 19 - 9. Let v be (-10)/35 + n/(-182). Is a greater than or equal to v?
False
Let q = -260 + 358. Are q and 98 nonequal?
False
Let n be ((-21)/8)/((-1848)/368 + 5). Which is smaller: 120 or n?
120
Let l(s) = 5*s + 131. Let m be l(-26). Which is bigger: m or -6?
m
Let k = -59 + 154. Let v be (-16)/50*k/(-38). Let q(i) = i**2 + 8*i + 2. Let z be q(-8). Is z less than or equal to v?
False
Let i = -0.18 + 0.19. Let b = 37.01 - i. Let m = -37 + b. Which is bigger: m or 18?
18
Let f = -35 + 42. Suppose 0 = -4*p + f + 5. Which is greater: 15/4 or p?
15/4
Let y(a) = 2*a + 16. Let d be y(-8). Suppose d = -0*x - x - 3. Which is greater: 0 or x?
0
Let f = 2.3 + 0.3. Let p = f - -1.9. Let y = p - 2.5. Which is smaller: 2/5 or y?
2/5
Suppose o = -4*y - 13, -y = -2*o - o. Let z be (-1 + (-21)/(-18))*o. Let k(v) = -2*v**2 - v. Let i be k(-1). Which is bigger: z or i?
z
Let h be -6*(847/280 - 3). Which is smaller: h or 1?
h
Let i(p) = -112*p**2 + 33*p - 34. Let o be i(1). Which is bigger: -115 or o?
o
Let p(h) = 7*h. Let o be p(-1). Suppose m + 2*l + 0*l - 22 = 0, 2*m = -5*l + 48. Let j = -19 + m. Is j < o?
False
Let d = -47/2 + 24. Let t be ((-3)/(-6))/(26/8 - 3). Which is smaller: t or d?
d
Let l = -0.1 + 0.2. Let s = 12.145 + -12.245. Which is smaller: s or l?
s
Suppose -5*l = 2*x + 15, -12 = x + 3*l + l. Which is smaller: x or -5/59?
-5/59
Let i = -313 - -313. Which is smaller: i or 2/127?
i
Suppose -b + 700 = 2*t + b, 0 = 3*t - 5*b - 1034. Let h be ((-1)/8)/((-6)/t). Which is smaller: h or 6?
6
Let x(j) = -j**2 + j + 2. Let k be x(-2). Let c be (-2)/((-126)/(-33) + k). Is c equal to 10?
False
Let h = -371 - -370. Is 2/259 greater than or equal to h?
True
Let a(t) be the second derivative of -t**5/20 - t**4/12 - t**3/6 + 3*t. Let o be a(-2). Let v be o/27 + 606/(-54). Which is smaller: -10 or v?
v
Suppose 3*p + 3 = 6*p. Let h(q) = q**2 + 9*q + 17. Let w be h(-7). Let t be w*-2*(-36)/(-54). Which is smaller: p or t?
t
Suppose 4*r - 2*d = -0*d + 138, 137 = 4*r - d. Let l be (r/51)/((-14)/3). Let c = 1/3 - 0. Which is smaller: l or c?
l
Let o(c) = c**3 - 3*c**2 + 5*c - 7. Let m be o(2). Which is greater: -6/209 or m?
-6/209
Let q(k) = k**3 + 4*k**2 + 2. Let a be q(-4). Let p be (-185)/(-30) - a/12. Suppose b + p = -2. Is b at least -8?
True
Let a = -15516 + 325982/21. Let u be (-1)/4 + 507/(-84). Let v = a + u. Which is greater: 2/7 or v?
v
Let b = -165 + 118. Suppose 12*o + 899 - 347 = 0. Which is smaller: o or b?
b
Let k = 1.5 - 0.9. Let n = k - 0.5. Is -0.45 bigger than n?
False
Let n(t) = 4*t - 23. Let w(k) = -9*k + 47. Let x(s) = -7*n(s) - 3*w(s). Let z be x(20). Is z < 33?
True
Let r = -2568650/393 - -6536. Do r and -1 have the same value?
False
Suppose -2*i = -5*b - 1 - 7, 5*i - 20 = 4*b | {
"pile_set_name": "DM Mathematics"
} |
is the second biggest value in 0, -5.7, g?
0
Suppose 42 = 16*x - 38. What is the third smallest value in x, -2, 0.4?
x
Let i = -162.2 + 140. Let h = i - 4.8. Let z = 27.4 + h. Which is the third smallest value? (a) z (b) 3 (c) -0.06
b
Let n = 17.992 - 18. Let v = -0.492 + n. What is the second smallest value in 0.01, -0.3, v?
-0.3
Let g(z) = -z - 9. Let w be g(-11). Let l be (-341)/(-66) - 1/6. Suppose -3*i + 4 = -l*i. Which is the third biggest value? (a) i (b) w (c) 0
a
Let c = 314 - 348.3. Let l = c + 34. What is the third smallest value in l, 1/7, -4?
1/7
Let c = -1.2 - -0.2. Let i = 0.356 + -302.556. Let l = i - -302. What is the third smallest value in l, c, -0.1?
-0.1
Let d = 0.087 + -8.087. Which is the second biggest value? (a) -3 (b) d (c) 1
a
Let g = 6/5 + -8/5. Suppose b - 6*b + 25 = 0. What is the third biggest value in -1/3, -6, g, b?
g
Let p = -1 - -1. Let v = 171.9 + -176.9. What is the second smallest value in v, p, 1, 0.06?
p
Let f = 0.2 + 0.2. Let b = f - -0.6. Let p = -409 + 6137/15. What is the biggest value in b, p, 1/7?
b
Let d = 900 - 896. What is the second smallest value in -0.5, d, -4, -0.1?
-0.5
Let b be 3*(-4)/(-12) + -1. Let r be ((b - -2) + -3)*-1. What is the second smallest value in 1/4, -4/3, r?
1/4
Let s(x) = -5*x + 3. Let a be s(0). Let f be (0 - (-4)/6)/(1/a). Let r = -444/2321 + 2/211. What is the second biggest value in r, 0.1, f?
0.1
Let w = 0.0973 - 0.0973. Which is the biggest value? (a) w (b) 5/4 (c) 32/7 (d) -2/5
c
Let g = 374 - 361. Which is the second smallest value? (a) 2 (b) 0.3 (c) g (d) -0.5
b
Suppose -12 = -27*t + 24*t. Suppose -5*g + 3 + 2 = 0. Let k be (-4)/(-8)*t - g. What is the second biggest value in 3, k, 2/15?
k
Let q be -4 + 1 + (1 - -3). What is the fourth smallest value in q, 0, 4, -12/29?
4
Suppose -5*w + 14 = -2*l - 18, -4*l + 14 = 3*w. Suppose 3*m = -0*m - 120. Let v be m/30*w/28. Which is the second biggest value? (a) v (b) 2 (c) 4
b
Let i = 0.881 + -0.581. Let g = -0.03 + 4.03. Which is the second biggest value? (a) g (b) i (c) -2
b
Let j be 2/(-4) - 436/(-792). Let m = j - 3/11. What is the third smallest value in m, 3, -1/2?
3
Let m = -0.049 + -4.351. Let z = m - -4.8. Which is the third smallest value? (a) z (b) -5 (c) -4 (d) 3
a
Let d = 2 - 4. Let b = 30849/5 - 6169. What is the smallest value in -1/13, d, b?
d
Let u be 63/(-156) - 2/(-8). Let y = 1.13 + 8.37. Let m = y - 10.5. Which is the second smallest value? (a) u (b) m (c) -0.5
c
Let x = -150 - -146. Which is the smallest value? (a) 0 (b) -20 (c) 3 (d) x
b
Suppose 3*i = m + 1 + 14, 23 = 5*i - m. Let g = -10 + 7. Which is the second smallest value? (a) -0.2 (b) g (c) i
a
Let c = 123.7 + -123.6. Let g = -0.28 + -0.02. What is the second smallest value in g, c, -5, -1/6?
g
Let u = -2.5 + 2.1. What is the third smallest value in u, 0.39, -5?
0.39
Let m be (4/(-6))/(((-161)/(-21))/1). What is the second smallest value in 3, -2.8, m?
m
Suppose 5*n + 8 = 148. Let s = 141/5 - n. Which is the third smallest value? (a) s (b) -0.6 (c) 4
c
Suppose -4 = 2*g - 10. Let z = 84258/5 + -16709. Let a = 143 - z. What is the second biggest value in 0.1, a, g?
a
Suppose -13*r = -16*r + 39. What is the second smallest value in -0.2, r, 1/5?
1/5
Let g = 25 + -25. Let p = g - -4. Let b be (74/(-38) + 2)*2. What is the biggest value in b, p, 0.4?
p
Let j be 1*(6 + 0/(-5)). Which is the second smallest value? (a) 0.08 (b) 4/3 (c) j
b
Let t = -0.0041 - 1.9959. Which is the smallest value? (a) 0.2 (b) 43 (c) t
c
Let d = 22 + -35. Let a = 14 + d. Let o = 1.5 + 0.5. What is the second smallest value in -2/13, o, a?
a
Let z = 1304.2 - 1304. Which is the third smallest value? (a) 277/4 (b) z (c) 0.5
a
Let w = 496 - 496.1. What is the fourth smallest value in w, -1.1, 4/9, 1/4?
4/9
Let n(v) = -21*v - 58. Let l be n(-3). Let o = 0.5 - 0.9. Which is the biggest value? (a) l (b) 3 (c) o (d) -1
a
Let t(f) = f**2 - 2*f. Let l be t(-1). Let p(k) = 2*k + 16. Let d be p(-11). Which is the third smallest value? (a) 0.1 (b) d (c) l
c
Let i be ((-4052)/(-930))/((-44)/6). Let z = -2/341 + i. Let n = -376.8 - -377.1. What is the biggest value in 0, z, n?
n
Let g = -1.145 + 1.645. Which is the third biggest value? (a) -108/13 (b) -1/5 (c) g
a
Let j(r) = -4*r**2 - 2*r + 1. Let q be j(-2). Let f = 10 + q. Let u = -152/45 - -34/9. Which is the second smallest value? (a) 5 (b) u (c) f
b
Let n be (-320)/32 + 112/11. Let d be 0 - 4/2 - -1. Let l = 5 - d. Which is the third smallest value? (a) l (b) 2 (c) n
a
Let m be (-28 + 30)/(0 + 11*-1). Let i be 2/(-4)*7/7. Let u be 1/5 + 14/30. Which is the second biggest value? (a) m (b) i (c) u
a
Let x = 476 + -476. What is the third smallest value in 2, -1, x?
2
Let j = -0.037 + -4.263. Let d = -4.7 - j. Let q = 0.27 - 13.27. What is the third smallest value in -3/5, d, q?
d
Let l be (-3)/(-9) + 1/(-12). Let r = 0.12 - -10.08. Let a = 10.1 - r. What is the second biggest value in l, -3, a?
a
Let q = 6.599 + -1.599. Which is the second smallest value? (a) q (b) 0 (c) -1/2 (d) 0.3
b
Let i(f) = f**3 - 3*f**2 - 7*f - 3. Let g be i(5). Suppose -144 = g*z - 0. What is the third biggest value in -3, z, 2?
z
Suppose -912 = -14*q + 2*q. Let w = -17 + q. What is the second biggest value in 3, 2/3, w?
3
Let f = 0.14 + -0.036. Let v = 0.896 + f. Which is the smallest value? (a) 2/3 (b) v (c) 2
a
Let n = 599 - 599. Let j = -16.6 + 9. Let w = j + 7. What is the second smallest value in n, w, 0.1?
n
Let v = -1010 - -5049/5. Let p = -10 - -15. Which is the third biggest value? (a) v (b) 22 (c) p
a
Let l = 7.58 + -0.58. What is the biggest value in -9, l, 0.1?
l
Let q = -0.04514 + -22.98286. Let m = -0.028 - q. What is the second smallest value in -1/4, 0.2, m?
0.2
Let u = -374 - -1120/3. Which is the third smallest value? (a) -3 (b) -0.32 (c) u (d) -0.3
b
Let g be 11 + -13 - (8/(-2))/(-2). Let n = -1.24 - 1.84. Let k = -0.08 - n. What is the third biggest value in g, k, 0.1?
g
Let r = -1 - 6. Let s = 7 + r. Let g be (0 + -1 + -1)/(25 - 15). Which is the biggest value? (a) g (b) s (c) 1
c
Let g = -1126 - -1128. Let y(f) = f**3 - 6*f**2 + 5*f - 2. Let s be y(5). Let h be s*1*-1 - -1. What is the second smallest value in g, h, -2?
g
Let y = -0.1 - -0.1. Let z be 6/8 + 116/(-112). What is the third biggest value in -2/3, -2/5, y, z?
-2/5
Let f(b) = -2*b - 2. Let v be f(-3). Suppose 3*j + v = -8. Let g be (2/j)/(9/(-36)). What is the third biggest value in -5, g, 4?
-5
Let j be 2 - ((-6)/(-4) - 0). Let v = 1081 + -1084. What is the second biggest value in -5, 3/8, j, v?
3/8
Let o = 2.8 + 1.2. Let w = -8 + o. Let a(p) = p**3 - 7*p**2 - p + 10. Let f be a(7). What is the third smallest value in w, 0, f?
f
Let s = 3358/15 - 224. Which is the biggest value? (a) s (b) 11 (c) 1/6
b
Let u = -1.271 + -3.729. Which is the third smallest value? (a) -4 (b) 11 (c) u
b
Let w = 19.88 + -20. Let n = -0.08 + w. Let x = 1.11 + -1.11. Which is the third biggest value? (a) n (b) x (c) 0.2
a
Suppose -m = s + 1, 5*m - 12 = s + 7. Which is the second smallest value? (a) -40 (b) -1 (c) m
b
Let g = -21 - 62. Let r = -82.97 - g. What is the fourth smallest value in r, 2/5, -0.2, -3?
2/5
Let c = -30 + 1. Let v = c - -19. Let b be (1/(-2))/(v/(-12)). What is the second biggest value in b, -5, 5?
b
Let j be (-8)/144*-58 + -3. What is the second biggest value in -0.22, -1, j?
-0.22
Let f = -197 - -118. Let s = f - -83. Which is the second biggest value? (a) -5 (b) -2 (c) 0 (d) s
c
Let m be 1088/210 - (-16)/56. Which is the smallest value? (a) -1/3 (b) m (c) 0.3
a
Let t = 0.031 + 11.969. What is the smallest value in t, 0.2, 2/25?
2/25
Suppose 2*n + 15 = 5*n - 3*x, 2*x = -2*n - 2. Let s = -4.2 - 1.5. Let k = 4.7 + s. Which is the third smallest value? (a) k (b) n (c) 5
c
Let m = 0.1984 + 69.8016. What is the biggest value in m, -0.1, -2, -4?
m
Let y = 0.86 + -0.879. Let f = 22.981 - y. What is the third biggest value in 1/6, -1, f?
-1
Let n be (-1)/(-4)*(-4)/3. Suppose -16 = -4*s - 4. Suppose s*z = 2*z + 1. Which is the smallest value? (a) z (b) n (c) 3
b
Let w(u) = 4*u - 21. Let t be w(-10). Let o = t + 63. Which is the smallest value? (a) 0 (b) 19 (c) o (d) -1
| {
"pile_set_name": "DM Mathematics"
} |
than i?
True
Suppose 0 = 5*l + 3*m - 24, 2*l + 4*m = m + 15. Suppose -t - 2 = -3*n + 3*t, 4*n + l*t = -14. Which is greater: -3/4 or n?
-3/4
Let p(l) = 2*l - 7. Let g be p(5). Suppose -g*w = -7 + 4. Let r be 3/14 + 4/14. Is r > w?
False
Let z = 4 - 4.7. Let s = 0.6 + z. Is s equal to 5?
False
Let h be 2 + (2 + -4 - -1). Let s = 1 + h. Suppose 5*j - 3*j + 2*d - 12 = 0, -2*d = j - 8. Is j at most s?
False
Let o(p) = p + 2. Let w be o(7). Let q = w + -5. Let i be -2*(30/q)/(-5). Are i and 4 non-equal?
True
Let n(f) = -f**3 - 9*f**2 + 3*f + 10. Let r be n(-7). Let g = r + 979/9. Suppose 0*q = -4*q. Which is greater: g or q?
q
Let u be (-363)/6 + (-2)/8*2. Which is greater: -62 or u?
u
Let l = -311/1312 + 11/41. Which is smaller: 0 or l?
0
Let r be 3/(-6) - 46/(-28). Let n be 1 - (-45)/(-27) - 4/(-6). Which is smaller: n or r?
n
Let i = 4 - 13. Let d = i + 6. Let v = 2 + -2. Which is greater: d or v?
v
Let k be 22/6 - (-4)/(-6). Let y(l) = 1. Let h(t) = -t. Let r(j) = 3*h(j) + 4*y(j). Let s be r(k). Which is smaller: -6 or s?
-6
Let b = -2079 - -12509/6. Which is bigger: b or 5?
b
Let d(k) = k**3 + 6*k**2 - 7*k - 1. Let v be (-14)/(-4)*(-4)/2. Let l be d(v). Is -2 smaller than l?
True
Let x be (-28)/(-3) - (-4)/6. Let s(c) = 2*c - 11. Let p be s(x). Let k be 6/p*3 + 0. Are 2 and k nonequal?
False
Let o(j) = j**2 + 7*j + 5. Let n be o(-5). Suppose 5*f - 9*f = -24. Let y = f + n. Is 3 greater than or equal to y?
True
Let h = -11.7 - -11. Let a = -0.3 + h. Which is smaller: a or 0.01?
a
Let a(m) be the first derivative of -m**4/4 - 7*m**3/3 + 7*m**2/2 - 8*m + 4. Let n be a(-8). Is 0 bigger than n?
False
Suppose a = 3*a. Let i(m) = m**3 + 10*m**2 + 10*m + 9. Let r = -32 - -23. Let x be i(r). Are a and x unequal?
False
Let r be (-38)/42 - 1/(-3). Let h be (-4 + 8/2)/2. Are r and h unequal?
True
Suppose -7*g = 5*s - 11*g - 4, s - g - 1 = 0. Let a = 1132/13 + -87. Is a at most s?
False
Suppose -5*w + 493 - 33 = 0. Let b = w - 645/7. Suppose -5*y - 9 = z - 2, -5*z - 9 = -y. Is y < b?
True
Let q = -3 - -10. Let x be (-2)/q + -3 - -3. Suppose -a = -2*a. Which is smaller: a or x?
x
Let c(b) = -b - 4. Suppose 2*v + 9 = -1. Let a be c(v). Which is greater: a or -1?
a
Let x = -1 - -3. Let r(l) = 5*l**2 - 2*l**2 + 4*l - 2*l**2 + x*l - 2. Let u be r(-6). Are u and -3 equal?
False
Let m = -0.07 - -1.07. Is 0 at least as big as m?
False
Let r = 0.13 - 0.05. Which is smaller: 0 or r?
0
Let f(n) = n**2 + 5. Let b be f(0). Let c = -16 + 0. Let z = 20 + c. Which is bigger: b or z?
b
Suppose -t = 2*y - 5, -3*t - y + 5 = -0*y. Suppose -2*s - 2 = -2*b - 0, 3*b - t = 5*s. Which is smaller: -1 or s?
-1
Let g(n) = -n**2 + 23*n + 49. Let i be g(25). Let h be 0 - 2 - 6/(-4). Which is bigger: h or i?
h
Let y = -1 - -2. Let o = y - 3. Let m = 6/11 - 29/33. Is o at most as big as m?
True
Let g = -18 + 14. Suppose -4 = 5*n - 39. Suppose -6*f + 3*f = r + n, -9 = r + 5*f. Is g bigger than r?
False
Let l = -4 + 4.5. Let o = l - -0.5. Let t = 1 + o. Does 2 = t?
True
Suppose 0 = -2*p - 0*p + 4. Let j be 3 + -2 + 2 + -1. Suppose 4*f - j = 2*f. Are f and p unequal?
True
Let z = -43 + 131/3. Let v = 31 + -30.9. Are z and v equal?
False
Let x = -848/11455 - -2/395. Is x equal to -1?
False
Let j be 6/(-2) - 62/(-18). Suppose -3*h + 1 = -2. Suppose 5*x - 3*f + h = 0, 0 = -2*x - 4*f + 1 + 9. Which is bigger: j or x?
x
Suppose 2*l - 138 = -4*a, 0*a + a = -3*l + 32. Suppose -4*j = -9*j + a. Let t = -8 + j. Is -2/9 at least as big as t?
True
Let h = -22 + 26. Let p = 0 + -0.1. Which is smaller: h or p?
p
Let o be 6/4 - 1/(-2). Suppose 0*g - g = o. Is -2 not equal to g?
False
Let u be 6/4*(0 - -4). Suppose -3*s + 3 = -u*s. Let m be (3/9)/(2/(-6)). Are m and s non-equal?
False
Let m be ((-4 - (-3 + -8)) + -4)*-1. Let p(k) = k**2 - 7*k + 7. Let o be p(5). Is o greater than m?
False
Let k(j) = 4*j - 2 + 11 + j**2 - 13*j. Let f(a) = 2*a + 2. Let n be f(3). Let w be k(n). Is 2 greater than w?
True
Let a(v) = -3*v + 1. Let t be a(-1). Let s = t - 2. Which is smaller: 1 or s?
1
Let v be ((-18)/(-15))/(6/15). Let b(h) = -h**2 + h + 2. Let w be b(v). Is w != -4?
False
Let u = -2/19 + 41/209. Which is greater: u or 0.2?
0.2
Suppose -4*o + m = 0, -o + 4*m + 7 = 2*m. Suppose -5 = c - 4. Do o and c have different values?
False
Let v = -5 + 6. Which is smaller: v or 7/6?
v
Let i be 6/(-3)*(-1)/(-1). Let w be (0 + (-2)/(-4))*i. Let n = -63 - -312/5. Which is greater: w or n?
n
Let m = -7347/17 + 432. Is 1 equal to m?
False
Let c be (-3)/12 - 39/(-12). Suppose -4*l - 2 = -3*x - c, 0 = -5*l - 4*x + 9. Which is smaller: 0 or l?
0
Let n = -4 + 3.9. Let c(s) be the first derivative of -s**2/2 + 2*s + 1. Let v be c(2). Is n > v?
False
Let u = 0.1 + -0.1. Let t = u + 0.2. Let y = -0.119 - -0.019. Is t less than y?
False
Let p be (0/1)/(-5 + 6). Do p and -6/5 have different values?
True
Let m = 1.1 + -0.1. Is 2.6 not equal to m?
True
Let j be (5/(-55))/(2/24). Let o(g) = -g**2 - 5*g - 5. Let x be o(-4). Is x < j?
False
Suppose -2*m - 40 = -4*l, 5*l = 4*m + 6*l + 35. Is -9 at least as big as m?
True
Let d = -21 - -25. Let s = d + 0. Let u be 0/1 - (-4)/(-10). Which is smaller: s or u?
u
Let y(u) = u - 2. Let z be y(-2). Let v be 32/(-6) + (-4)/6. Let w be 9/v - (-2)/z. Is -1/5 at least as big as w?
True
Let f = -37/93 - -2/31. Does f = 0?
False
Let t(s) = -2*s + 3. Let r be t(-18). Is 39 smaller than r?
False
Let j(t) = -t + 11. Let p be j(8). Let o be 2/p + (-3)/9. Which is smaller: o or -0.1?
-0.1
Let i = 24 - 47/2. Which is smaller: i or -2/27?
-2/27
Let h(g) = -7*g**2 + 4*g**2 - 7 + 9*g - 7*g**2 - g**3. Let j be h(-11). Which is smaller: j or 14?
14
Let j = -5 + 4. Suppose 7*i = 2*i + 20. Suppose -i*a + 3*a + 6 = -2*w, 4*a - 3*w = 9. Which is bigger: j or a?
a
Let v = 1.6 + 0.4. Let b = -2.3 + v. Is -0.1 <= b?
False
Let f(j) = -j**2 - j - 1. Let s(a) = -5*a**2 - 9*a - 7. Let l(y) = 4*f(y) - s(y). Let h be l(-3). Suppose -5*n = 1 + 9. Which is smaller: n or h?
h
Let d = -92 - -1013/11. Is d at least -1?
True
Let f = 4 - 7. Let s = f + 3.1. Let r = 0 - -0.2. Which is smaller: r or s?
s
Let d = -46 + 65. Let t = -13 + d. Is t less than -1?
False
Let u(y) = y**2 + 4*y - 1. Let w be u(-3). Is -5 smaller than w?
True
Let p = -5 - -1. Let i = 4 + p. Let h = -1 + i. Are -0.1 and h nonequal?
True
Let w = -163/3 - -381/7. Which is bigger: 1 or w?
1
Let s be 35/42*206/5. Let h = -34 + s. Which is bigger: h or 2?
2
Let t(a) be the second derivative of a**4/4 + a**3/3 - 3*a**2/2 + a. Let c be t(2). Let g be (1 - (-15)/c) + -2. Is -1 not equal to g?
True
Let x = 22 - 12. Suppose 0 = -5*h - r - 26, 2*r + 27 = -5*h - 0. Let c be (1/2)/(h/x). Is c bigger than -1/4?
False
Let q be 33/(-68) + (-1)/(-4). Let w be (-138)/8*(-48)/918. Let f = q + w. Which is smaller: 2/7 or f?
2/7
Suppose 2*r + 0*r = -5*i + 44, 40 = 3*r + i. Are -1 and r unequal?
True
Let o = 0.919 - -0.081. Which is smaller: o or -0.07?
-0.07
Let r(f) = -f**2 - 3. Let n be r(-3). Let k be 18/(-20) + (-6)/n. Which is bigger: -1/3 or k?
-1/3
Suppose -g + 0*g = 4, -2*g = -5*x - 2. Which is bigger: 1/2 or x?
1/2
Let s = -18 + -7. Let w be 5/s - (-8)/(-10). Is w greater than 2/5?
False
Let d = 0 + 6. Suppose c = 2*x, -x - 2*c + d = 1. Is x at least -0.15?
True
Let v be (-8)/20 + 2 + -1. Is 2/3 < v?
False
Let o = 0 - -3. Suppose -1 + 3 = x, 12 = o*s + 3*x. Let f be (-2)/(-4)*(s - 3). Is f > -1?
True
Suppose -8 + 3 = -5*y. Let g = -4 + 4.4. Let l = g - 0.7. Are y and l equal?
False
Suppose 3*g = 7 - 1. Let o = 5/31 - -73/124. Is g equal to o?
False
Let a(u) be the first derivative of -u**2/2 + 3*u + 1. Let f be a(4). Let j = -52 + 154/3. Which is greater: j or f?
j
Let a be (2/3)/(4/(-30)). Let c be 4/(-10) + 8/a. Let i = 1 - 4. Is c less than or equal to i?
False
Let a = -2 + 1. Let l = 0.9 - -0.1. Is a greater than or equal to l?
False
Suppose m = -21 + 22. Let u be (-12)/(-10)*(-5)/13. Which is bigger: m or u?
m
Let i(s) = 5*s**3 + 3*s**2 - s - 4. Let y be i(-2). Which is smaller: -3 or y?
y
Suppose -l + 4*g = 12 - 3, g = l. Let a be (l/(-3))/((-1)/2). Suppose -4*v + 20 = 0, -33 = -5*p - 5*v + 2. Are a and p nonequal?
False
Suppose 0*u = 5*u + 15. Let x = -1 + u. Which is smaller: x or 0?
x
Let f be (2/6)/(10/180). Suppose 5*t - 20 = 2*s, f*s - s - 2*t = -8. Are s and - | {
"pile_set_name": "DM Mathematics"
} |
-6.344 + 0.044. Let j = 6 + m. Let y = -582/5 + 116. What is the closest to 1 in 3, y, j?
j
Let g = 1 + -32. Let k = g + 30. What is the closest to 0.3 in k, 2, -0.4?
-0.4
Let u = 14 - 10. Let w = -4.89 - 0.11. Let g = u + w. Which is the closest to g? (a) -0.2 (b) -1 (c) -2
b
Let r = 1.4 - 0.4. What is the nearest to r in 0.4, 2, 0.1?
0.4
Let f = 1/3 - -1/6. What is the nearest to -1/2 in -1/3, -2, f?
-1/3
Let q = -4 - -3.8. What is the nearest to q in 0.3, -0.2, 2?
-0.2
Let m = -3 - -6. Which is the nearest to m? (a) -2/3 (b) -0.2 (c) 4/3
c
Let u = -106 - -106. Which is the closest to 0.03? (a) 3/8 (b) u (c) -4
b
Let x = 2.212 - 0.212. Let g be 2/(-4) + (-6)/(-8). Which is the closest to g? (a) 1 (b) x (c) -5
a
Let j = -1.32 + 0.92. What is the closest to -5 in -3/4, -3, j?
-3
Let y = 23 - 26. Which is the nearest to -13? (a) y (b) -4/3 (c) 3/2
a
Let p be (6/(-9))/((-1)/6). Let k = -2.1 + 3.1. Suppose 2*t - 2 = 0, -6 = 2*f + f - 3*t. Which is the closest to k? (a) -1/3 (b) p (c) f
a
Let s = -10.5 - -11. Let n be 8/12*(-6)/2. What is the closest to -1 in s, -0.1, n?
-0.1
Let v = 0.6 - 0.8. Let s = -14 + 39. Suppose -s = -0*z + 5*z. Which is the closest to 1/2? (a) v (b) z (c) 0
c
Let n be (-16)/(-3) + (-4)/(-6). Let u = n + -6. Let i be -1 + 1 + (-2)/(-12). Which is the nearest to 1? (a) u (b) i (c) -2
b
Let r = 5 - 5. Suppose -3*s = s + 16, s = -3*c + 2. What is the closest to c in 1/9, r, -1?
1/9
Let w(g) = g**2 - 5*g + 2. Let n be w(5). Which is the closest to 1/4? (a) -3 (b) n (c) -0.4
c
Let z = 8 - 7.7. Let s = -2 + 0. Let o = 5 + s. Which is the closest to -2? (a) o (b) -3 (c) z
b
Suppose -n - 13 = -5. Let z be 2/n - (-17)/4. Which is the closest to -0.1? (a) -5 (b) 0 (c) z
b
Let q = 1.86 + -1.46. Let s = -2 - -2. Let l = 0.8 - 1. What is the nearest to -2 in s, l, q?
l
Let w = 66 + -61. What is the closest to -0.1 in 0, w, 1/4?
0
Let k = -3 + 2.5. Which is the nearest to 0? (a) 0.1 (b) k (c) 3/4
a
Let o = -2.1 + 2. Let n = 3.48 + -0.08. Let k = -2.4 + n. Which is the closest to k? (a) o (b) -5/3 (c) -5
a
Let m = 0.05 + -1.25. Let d = 1.1 + m. Which is the closest to 0.1? (a) 2 (b) 2/3 (c) d
c
Let n = -15 + 15. Which is the nearest to n? (a) 0.4 (b) -2 (c) -3/2
a
Let i = 7 + -6. Let u = -7.88 - -7.9. What is the closest to u in i, -2/11, 2?
-2/11
Let h be 27/(-20) + (-9)/(-15). Suppose 2*q = q + 2. Which is the closest to q? (a) 1 (b) -0.3 (c) h
a
Let q = -0.14 - -0.23. Let o = 0.39 - q. What is the nearest to 0 in -2/13, o, -5?
-2/13
Suppose 4*o + y + 9 = 0, 4*o + 4*y + 2 = -10. Let p be 2/(-7)*o/4. Which is the closest to -0.3? (a) p (b) -2/17 (c) -0.3
c
Suppose -2*b + 57 - 5 = 0. Let k be ((-4)/1)/(b/13). Let o = 23/2 + -51/4. What is the closest to -1 in k, -5/2, o?
o
Let o = -38 + 39. What is the closest to o in 5, 2/11, 0.5?
0.5
Let h = 22/35 + 4/105. Let d = 0 + -0.1. What is the nearest to -0.1 in h, d, 5?
d
Suppose -u + 6*u = -5. Which is the nearest to u? (a) 1/5 (b) 2 (c) -2/15
c
Let s = 153 - 153.1. Which is the nearest to -0.2? (a) 5 (b) 2/9 (c) s
c
Let m = 0.37 + -2.27. Let k = 0.1 - m. Which is the closest to k? (a) -0.2 (b) -5 (c) -0.4
a
Let v be (-6)/(2/5*15/(-4)). Which is the nearest to -5? (a) v (b) -3 (c) -0.3
b
Let n(d) = -d**2 - 8*d + 10. Let l be n(-9). Let s = 199/11 + -18. Which is the closest to l? (a) 1 (b) 0.5 (c) s
a
Let u = 493/4 + -123. Which is the nearest to u? (a) 6 (b) -4 (c) 5
b
Let k = 509.671 - 76.661. Let w = 438 - k. Let i = -0.01 - w. What is the nearest to 0 in -2/11, i, -3?
-2/11
Suppose -10 + 18 = 4*z. Which is the closest to z? (a) -1/3 (b) 1/5 (c) 2/9
c
Suppose 0 = -4*q + 4 + 8. Suppose 2*t = q*g - 0 + 1, -g = 2*t + 11. Which is the nearest to -2? (a) -0.5 (b) t (c) 0.3
a
Let r = 48.1 + -48. Let g = -0.07 - -3.07. What is the nearest to -5/2 in g, -5, r?
-5
Let s = -0.16 + 0.06. Let m = -15 + 13. What is the closest to s in m, -0.5, -3/5?
-0.5
Let f = 87.43 - 88. Let n = f - -0.07. Let p = -2 - -1. What is the nearest to -1 in 0, p, n?
p
Let u = 0.1 + 0.4. Let b = 1.1 - 1. Let s = 0.1 - b. What is the closest to -1 in 1/5, s, u?
s
Suppose -u + 1 = -3. Let x = -2 + u. What is the nearest to -1 in x, -1, 2/5?
-1
Let v = 2 - 2. Let x(z) be the first derivative of -z**4/4 + 2*z**3/3 - z**2/2 - 2*z + 2. Let r be x(2). Which is the nearest to v? (a) -2/9 (b) -2/15 (c) r
b
Let o = 23/15 + -6/5. What is the closest to 2 in o, -2/13, 4/5?
4/5
Let h be 9/((-567)/(-24)) + (-2)/(-7). Let j = 0.1 + -0.3. Which is the closest to -0.1? (a) h (b) j (c) 0.1
b
Let w = -147/685 - -2/137. What is the nearest to -1 in -5, -1, w?
-1
Let m = 16 + -16.8. Let f = m + 1. Which is the closest to 1? (a) -0.1 (b) f (c) 2
b
Let i = -0.8 - -0.84. Let u = 0.04 - i. What is the closest to -1/2 in 0.2, 2/9, u?
u
Let o = -2 - -2. Suppose p - 5*h + 4 + 5 = 0, h + 1 = 3*p. Let b be 8/(-14) - (-4)/20*0. What is the nearest to o in p, b, 0.2?
0.2
Suppose 4*n - 3 - 5 = 0. Suppose n = 4*y - 3*y. Suppose 2*q = -4 + y. Which is the closest to q? (a) -1/2 (b) 0.1 (c) 2/13
a
Let x = -71 + 73. Which is the nearest to x? (a) -3 (b) -2/5 (c) -2/7
c
Let h(g) = -g**2 - 11*g - 19. Let u be h(-8). Which is the nearest to 0.1? (a) -4 (b) u (c) 0.5
c
Let h = 277 + -275. Let z = 3.4 - 3. Which is the closest to 0? (a) h (b) z (c) -0.1
c
Let h = 71.5 + -71. What is the nearest to -1 in h, -2/9, 3?
-2/9
Let y be 3/((-1)/(-2) - 2). What is the closest to -1/4 in 1, -0.4, y?
-0.4
Let b = -186 - -186. Let d be ((-1)/2)/((-9)/(-6)). What is the closest to d in -2, b, -0.3?
-0.3
Suppose k + 1 - 4 = 0. Which is the nearest to 2/5? (a) k (b) 4 (c) -2/9
c
Let p = 28 - 27.5. What is the closest to 0 in 3, p, 4?
p
Let l = -0.4 + 0.21. Let z = 0.1 + l. Let p = z - -0.09. Which is the closest to p? (a) -4 (b) 0.2 (c) 0
c
Let i = -6.4 - -6. Let b = -331 - -327. What is the nearest to 1/2 in b, i, -2?
i
Let s = -163/212 - -1/53. Let a be 0 + (6/15)/2. Let b = 2/75 - 239/525. What is the nearest to 1/2 in b, a, s?
a
Let i = -1.2 + -1.8. Which is the closest to 0? (a) i (b) -5 (c) 1/3
c
Let g = -0.034 - 3.966. What is the closest to -0.4 in 3, g, 2?
2
Let r = 1 - 1.1. Which is the nearest to r? (a) 5 (b) -1 (c) 1/3
c
Let k = -4 + 4. Let h(j) = -j**3 - 5*j**2 + 7*j + 3. Let a be h(-6). What is the closest to k in -0.3, a, 2?
-0.3
Let t = -135 - -134.9. Let p = 6 + -11. Which is the nearest to t? (a) -1/6 (b) p (c) 0.3
a
Let j = -104 + 104. Let n = -2 - -4. Which is the nearest to -2? (a) n (b) j (c) -3/2
c
Let h = 0.8 + -1.3. Which is the nearest to -0.1? (a) h (b) 2/7 (c) -2/5
c
Let j(t) = t**3 + 4*t**2 + 4*t + 1. Let g be j(-3). Let z be (g + -1 + 2)*1. Which is the closest to z? (a) -0.4 (b) -0.5 (c) 5
b
Let n = -0.7 - -0.3. Let o = 0.02 - 2.62. Let b = 3 + o. What is the nearest to 0.1 in n, 5, b?
b
Let d = 7 + -8. What is the nearest to d in 9, 1, 0.3?
0.3
Let i = -0.3 + 0.1. Which is the closest to i? (a) -4/7 (b) 4 (c) 2/5
a
Let m = 1/11 - -7/44. Let p = 14 + -13.1. Let b = p - 0.7. What is the nearest to 0.2 in 5, m, b?
b
Let v = -0.7 - -0.3. Let l = 0.4 + v. Let i = 0 - l. What is the nearest to i in -1/4, 0.2, 0?
0
Let z = -104.1 - -104. Let x be (3/(-4))/(1/(-4)). What is the closest to -1 in z, 5, x?
z
Let v = -1 + 0. Let j = v + 1.1. Let d = -87.6 - -88. Which is the closest to -1/4? (a) d (b) j (c) 4/7
b
Let p = 8 - 7. What is the closest to 1/3 in 0.1, -2, p?
0.1
Let t = 9 + -8.88. Let h = 0.18 + t. Which is the closest to -0.1? (a) -1/3 (b) h (c) -5
a
Let u = -40 + 45. Let n be 6/(-4)*2/6. What is the closest to -2 in 1/4, u, n?
n
Let o = 0.3 - -0.7. Suppose -5*x + 9*x = 8. What is the closest to x in o, -3, 0.2?
o
Let h = -1.3 + 1.3. Let j = 0.5 - 0.1. What is the closest to 2/5 in h, j, -4?
j
Let w = -0.23 + -0.07. Let a be ((-12)/40)/(9/(-6)). What is the nearest to w in a, -1, 1?
a
Suppose 5*v = -2*d + d - 11, 0 = -d - 2*v - 11. Let g = d - -12. What is the closest to g in 4, 1/6, 2/7?
2/7
Let o = 24 + -23.9. What is the nearest to 0.3 in 2/9, -2/19, o?
2/9
Let h = -1.9 + 1.5. Let k = -1.4 - h. Which is the closest to k? (a) 3/5 (b) -5 (c) 2
a
Suppose -2*n = 4*p - 0*n + 14, 2*p + 4*n = -16. Let g be (-38)/16 | {
"pile_set_name": "DM Mathematics"
} |
2/(-3). Let t = -905 - -1301. Suppose -9*m - t = -12*m. Calculate the greatest common factor of w and m.
12
Let x be 1 + (-1)/(-3)*3. Suppose -2*m - x + 22 = 0. What is the greatest common divisor of m and 5?
5
Suppose -5*f = -8 - 17. Suppose f*z = z. Suppose -3*n + 51 = -z*n + 3*d, 0 = d + 3. What is the highest common factor of 30 and n?
10
Suppose -4*d + 6*d - 26 = 0. Let v(k) = k**2 - 3*k - 5. Let g be v(6). What is the highest common divisor of d and g?
13
Let u be (2/5)/(3/15). Suppose u = m - 18. Let t(z) = -z**3 - 4*z**2 + 2*z. Let h be t(-6). Calculate the highest common divisor of h and m.
20
Let o = 58 - 0. Calculate the greatest common divisor of o and 87.
29
Let n be 0 + -3 - (-5 - 2). Let y be 10/25*(n + 1). What is the highest common factor of 10 and y?
2
Let v = 136 - 56. Let a be -3 - -26*2/4. What is the greatest common divisor of a and v?
10
Let s be (-6)/((-6)/(-2)) - -6. Let m be (-192)/(-18) - s/6. Calculate the highest common divisor of 50 and m.
10
Let l be 401*1/7 + (-2)/7. Calculate the highest common factor of l and 38.
19
Suppose 3*i + 0*i = 3. Let c = -4 + 8. Calculate the greatest common factor of c and i.
1
Suppose -4*i - 2*w = -104, 2*i - 5*w - 27 - 25 = 0. Calculate the greatest common factor of i and 13.
13
Let b(v) = v**3 + v**2 - 4. Let f be b(0). Let o be (-114)/(-27) - f/(-18). Suppose o*s - 38 = 2*s. Calculate the highest common factor of 76 and s.
19
Let o(w) = -8*w - 1. Let t be o(-2). What is the highest common factor of t and 135?
15
Suppose 0 = 14*c - 20*c + 174. What is the highest common factor of c and 319?
29
Let f(z) = 3*z**2 + z - 2. Let h be f(1). Suppose h*b - 4*q - 30 = 130, -3*b = 2*q - 208. What is the greatest common factor of 18 and b?
18
Let z(w) = 8*w - 2. Let o be z(8). Suppose o = 4*y + 4*c - 22, -c - 63 = -3*y. Let f = 1 + 6. Calculate the greatest common divisor of y and f.
7
Let h be (3 - (-228)/2) + 0. What is the highest common divisor of h and 13?
13
Suppose -5*a + 40 = 2*n, -2*a + 5*n + 18 + 27 = 0. Let y be (-8 + 18)*16/a. Calculate the highest common factor of y and 2.
2
Suppose -z - 4 = -3. Let y be 3 + (0 + z)*-14. Let h = 35 - y. Calculate the highest common divisor of 6 and h.
6
Let h(p) = 16*p**2 + 2*p + 2. Let u be h(-1). Suppose 171 = n + 5*v, -v = -0*n + n - 175. Calculate the greatest common factor of n and u.
16
Let a = -3 - -8. Suppose o + 14 = a*b, 3*o - 4 = -16. What is the greatest common factor of b and 4?
2
Let k = -8 - -12. Suppose 0 = -4*f - 0*f - 5*v + 60, 15 = f - k*v. Let r = 384 + -219. What is the greatest common factor of r and f?
15
Let y(n) = 7*n - 7. Let u be y(5). Calculate the highest common divisor of 308 and u.
28
Suppose -4*a = a - 20. Suppose -b + 16 = 3*b. What is the greatest common divisor of b and a?
4
Let q(w) = 40*w**3 - 2*w**2 + 4*w - 3. Let i be q(1). Calculate the greatest common factor of i and 195.
39
Suppose -2*l = -26 - 4. Let x be ((-2)/5)/((-1)/l). Calculate the greatest common divisor of x and 6.
6
Let i = 39 + -9. Let u be (36/8)/((-12)/(-16)). Calculate the highest common divisor of i and u.
6
Suppose 3*m = -m + 8. Calculate the greatest common divisor of 1 and m.
1
Let b = -3 + 3. Suppose -2*u = -3*v - 9 + 57, b = -2*u - 6. Calculate the highest common divisor of v and 2.
2
Let m = -54 - -119. Calculate the highest common factor of 52 and m.
13
Suppose 0 = -j, 2*x - 3*j = j - 82. Let r = 71 + x. What is the greatest common factor of 10 and r?
10
Let b(d) = d + 4. Let p be b(-2). Suppose -19 = -p*h - 3. Suppose -127 = -4*s - 0*s - l, 0 = 2*s - 3*l - 67. Calculate the highest common divisor of s and h.
8
Let t(b) = 6*b + 10. Let k be t(10). Let p be 11 - 1/(-2 - -3). Calculate the highest common factor of p and k.
10
Let h = -14 - -26. Suppose -2*l - l + h = 0. Suppose 2*z + 2 = -3*q - q, 5*q = -l*z + 5. What is the highest common divisor of z and 35?
5
Let b(r) = -r**3 + 15*r**2 + 3*r + 12. Let z be b(15). What is the highest common divisor of 19 and z?
19
Let i = -17 + 7. Let c be 4/i - 591/(-15). Calculate the greatest common factor of 26 and c.
13
Let f be 2/6 - ((-7546)/21)/11. Calculate the greatest common factor of 231 and f.
33
Let h be (5/(-2))/5*-112. Calculate the highest common factor of 8 and h.
8
Let p be (0 + -2 - -32)*3. Suppose 0*w = 3*w - 30. Calculate the greatest common factor of p and w.
10
Suppose 5*y - 2 = 8. Let g be y - 3*(-26)/3. Calculate the greatest common factor of g and 42.
14
Let l be (2 + -2 - 0)*-1. Suppose l = 2*a + 4*q + 26, 2*q = -a - q - 15. Let o = a - -21. Calculate the highest common divisor of o and 18.
6
Suppose 0 = 4*s - 5*z - 29, -2*s = 3*s + 2*z - 28. Let h = 32 - 23. What is the greatest common factor of s and h?
3
Let w(q) = q**3 - 6*q**2 + 8*q - 5. Let b be w(5). Calculate the greatest common divisor of b and 50.
10
Let b = -10 + 24. Calculate the greatest common factor of b and 56.
14
Suppose 3*w - 4 = w + i, w - i - 1 = 0. Let u = 39 - w. Calculate the greatest common factor of u and 12.
12
Let x = 5 + 0. Suppose -o - 2*r = -r - 10, 30 = 5*o - x*r. Calculate the highest common factor of o and 64.
8
Suppose 16*f - 84 = 13*f. Let k = -10 + 14. Calculate the highest common factor of k and f.
4
Suppose -3*d = 2*k - 754, -5*k - 4*d - 159 = -2058. Let u = k + -257. What is the greatest common factor of 18 and u?
18
Suppose 5*i = 6*i - 4. Calculate the greatest common factor of i and 12.
4
Let f = -91 - -124. What is the greatest common divisor of f and 165?
33
Suppose 0 = -k - 2. Let n be (-302)/(-3) - k/(-3). Let a(u) = -4*u - 4. Let b be a(-6). What is the greatest common factor of n and b?
20
Let r be ((-12)/8)/((-3)/(-248)). Let i be -3 + -2 + 2 - r. Calculate the greatest common factor of 11 and i.
11
Let l(t) = t**3 + 9*t**2 - t - 8. Let j be l(-9). Let c be (-2 - -2)/(-1 - j). Let x be 1*(c - (-16)/1). What is the greatest common factor of 8 and x?
8
Let w(i) = 2*i - 8. Let x be w(6). Suppose -12*l + 11*l + 2 = 0. Calculate the greatest common divisor of l and x.
2
Let j be -2 - (1 + -3 + -7). Let x = j + 15. Calculate the highest common factor of x and 11.
11
Let x be 16/6 + (-6)/9. Suppose 2*b + x*r = -0*r + 8, -3*b + 20 = -r. Let w(z) = 67*z - 1. Let c be w(1). Calculate the greatest common divisor of c and b.
6
Let h = 21 + -11. Suppose -2*f + 2*o + 2 = 0, -7 = 4*f + 3*o + h. Let g be 32/f*(-6)/3. Calculate the highest common divisor of g and 4.
4
Let n(d) = -d**3 - 2*d**2. Let i be n(-4). Let o(t) = -3*t**3 + t**2. Let c = -12 - -11. Let h be o(c). What is the greatest common factor of h and i?
4
Let f(s) = 3*s - 3. Let a be f(4). Let l be (-2)/a - (-58)/18. Calculate the highest common factor of l and 1.
1
Suppose -2*y = 2*y - 32. Calculate the highest common factor of y and 88.
8
Suppose 0 = q - 2*q + 54. Suppose 5*z - 3 - 2 = 0. Suppose -2*v + 8 = 0, -v - 7 = -2*w + z. Calculate the highest common divisor of q and w.
6
Suppose 2*o - o + 4*b = -16, -4*b - 28 = -2*o. Let m(j) = -j**3 + 5*j**2 - j + 7. Let t = 12 - 7. Let c be m(t). Calculate the highest common factor of c and o.
2
Suppose 28 = -5*j - 0*j + 2*k, -11 = j + 5*k. Let q = j - -13. Calculate the greatest common divisor of 35 and q.
7
Suppose 1 + 39 = 5*j. What is the highest common factor of 16 and j?
8
Let b(x) = 3*x**2 - 2*x + 3. Let r be b(-3). Suppose -3*h = 2*u - r, -2*h + 2 = -6. Calculate the greatest common divisor of u and 108.
12
Suppose -c - 3*f = -5*f - 11, 0 = 4*f. Calculate the highest common factor of c and 77.
11
Let i be -5 - -1 - 12/(-2). What is the highest common factor of i and 5?
1
Let r(z) = -z**3 - 5*z**2 - 6*z - 1. Let x be r(-4). Suppose x*p = 2*p + 225. What is the highest common divisor of 15 and p?
15
Suppose -4*q + 3 = -53. Calculate the highest common factor of q and 7.
7
Let j(c) = 2*c**3 - 3*c**2 - 2*c - 3. Let x be j(3). Calculate the greatest common divisor of x and 27.
9
Let z be (-4)/(-14) - 402/(-14). Suppose -4*k + 3*k + z = 0. Suppose -k = -g + 125. What is the greatest common factor of 14 and g?
14
Let f be ((-18)/24)/((-1)/16). Suppose 0 = 4*v - 0*v - f. Suppose -r + 4 = 3*w, 0 = -v*r - w + 18 - 6. Calculate the highest common divisor of 32 and r.
4
Let l = 22 + -10. Suppose -36 - l = -3*w. What is the highest common factor of 2 and w?
2
Let w = -14 - -21. Let | {
"pile_set_name": "DM Mathematics"
} |
79403 rounded to the nearest integer?
2
What is -3941.46814 rounded to 0 dps?
-3941
What is -612665.803 rounded to the nearest one thousand?
-613000
Round -0.01090946389 to 4 decimal places.
-0.0109
Round -0.0048355869 to six decimal places.
-0.004836
Round -92654509.6 to the nearest one hundred thousand.
-92700000
What is 0.61288369 rounded to 2 decimal places?
0.61
Round 0.0000108985583 to 6 dps.
0.000011
Round 0.00639345272 to 6 decimal places.
0.006393
What is -49055327.84 rounded to the nearest ten thousand?
-49060000
Round 0.02482430312 to 3 dps.
0.025
What is 4437386.2 rounded to the nearest ten thousand?
4440000
Round 315924.11444 to the nearest 1000.
316000
Round 1912360.11 to the nearest 1000.
1912000
Round 86066.57014 to the nearest 10.
86070
What is -0.090266114 rounded to 5 decimal places?
-0.09027
Round 4230.4459 to the nearest 10.
4230
What is 1488779.38 rounded to the nearest one hundred?
1488800
Round 42177310880 to the nearest 1000000.
42177000000
What is -50041385.2 rounded to the nearest ten thousand?
-50040000
Round -20.8887518 to two dps.
-20.89
Round -5627.737 to the nearest one hundred.
-5600
Round -0.00191756207 to six dps.
-0.001918
What is 16100.1245 rounded to 0 decimal places?
16100
What is 0.123366997 rounded to two dps?
0.12
What is -1436.6286 rounded to the nearest ten?
-1440
What is -328220.48 rounded to the nearest 1000?
-328000
What is 0.0001750819375 rounded to five decimal places?
0.00018
Round 19310236.46 to the nearest 1000000.
19000000
Round 950.155233 to the nearest 10.
950
Round -0.000000695541385 to seven dps.
-0.0000007
Round -2350.10345 to the nearest 100.
-2400
Round -1.77805134 to three decimal places.
-1.778
Round -485.6873595 to 1 decimal place.
-485.7
What is -0.000030042474 rounded to 5 dps?
-0.00003
Round 1485.78129 to the nearest ten.
1490
What is -0.00000521999149 rounded to 7 decimal places?
-0.0000052
Round 0.45237658 to four dps.
0.4524
What is -734.8469717 rounded to the nearest ten?
-730
What is -7868.963 rounded to the nearest one thousand?
-8000
Round 0.291131662 to two dps.
0.29
Round -13741692.53 to the nearest one million.
-14000000
What is 0.00117621027 rounded to six dps?
0.001176
What is 570548.0966 rounded to the nearest 10000?
570000
Round 32529530 to the nearest one million.
33000000
What is 2233.521105 rounded to the nearest integer?
2234
Round -44028653.8 to the nearest one million.
-44000000
Round 2469570.995 to the nearest one hundred.
2469600
What is 10.1818513 rounded to 3 dps?
10.182
Round 0.00152784155 to 6 dps.
0.001528
Round 0.0000382919479 to six dps.
0.000038
Round 0.0000559865121 to five dps.
0.00006
What is 0.0096733318 rounded to five decimal places?
0.00967
Round 3193311.08 to the nearest 10000.
3190000
Round 25.5747157 to two dps.
25.57
Round 8477246.18 to the nearest ten thousand.
8480000
What is -58019.092 rounded to the nearest one hundred?
-58000
Round -0.2039349425 to five dps.
-0.20393
What is -0.0170272222 rounded to 5 dps?
-0.01703
What is -0.0075194975 rounded to two dps?
-0.01
Round -60156422380 to the nearest one million.
-60156000000
Round 0.148036128 to four dps.
0.148
What is -4118.7011 rounded to the nearest one hundred?
-4100
Round 0.0035732262 to six dps.
0.003573
Round -181.52661 to the nearest 10.
-180
What is -4273973.3 rounded to the nearest 100000?
-4300000
What is 27579.9493 rounded to the nearest ten?
27580
What is 0.00278332702 rounded to three decimal places?
0.003
What is -93696778.6 rounded to the nearest 10000?
-93700000
What is 1.3157924 rounded to zero dps?
1
What is -0.00250216434 rounded to three dps?
-0.003
Round -232418180 to the nearest 100000.
-232400000
What is -54078.8848 rounded to the nearest 100?
-54100
What is -101829.43 rounded to the nearest 10000?
-100000
Round 28645646.7 to the nearest one hundred thousand.
28600000
Round -74.5153421 to the nearest integer.
-75
What is 1105341.041 rounded to the nearest one hundred thousand?
1100000
Round -73485.544 to the nearest ten.
-73490
What is 3083.2319 rounded to the nearest ten?
3080
Round -0.926010137 to 4 decimal places.
-0.926
Round 0.0010516390606 to six decimal places.
0.001052
What is 607478.8915 rounded to the nearest one hundred thousand?
600000
What is -6360.0958 rounded to the nearest one thousand?
-6000
Round 62.2572744 to 1 dp.
62.3
What is 0.00697653225 rounded to 5 decimal places?
0.00698
What is -560614 rounded to the nearest 1000000?
-1000000
Round 21.0679141 to 1 decimal place.
21.1
What is -3837493.489 rounded to the nearest one hundred?
-3837500
Round -296258.56 to the nearest 1000.
-296000
What is 0.15623725 rounded to three decimal places?
0.156
Round -0.05842046699 to two decimal places.
-0.06
What is 0.00000091229484 rounded to 7 dps?
0.0000009
Round 3055917.4184 to the nearest ten.
3055920
What is -55993176.5 rounded to the nearest one hundred thousand?
-56000000
What is 0.00000654018345 rounded to six dps?
0.000007
Round 0.0011940343524 to 7 decimal places.
0.001194
What is 29522480 rounded to the nearest 1000000?
30000000
Round 27339.77377 to the nearest one hundred.
27300
What is 89596528.08 rounded to the nearest 100000?
89600000
What is -0.0127936446 rounded to four decimal places?
-0.0128
Round -3216338.53 to the nearest one hundred thousand.
-3200000
What is -0.029672385 rounded to 5 dps?
-0.02967
What is -15385.013 rounded to the nearest 100?
-15400
What is -920711200 rounded to the nearest 1000000?
-921000000
Round -0.0000008290215 to 7 decimal places.
-0.0000008
Round -0.332831328 to 4 decimal places.
-0.3328
Round -1515390.76 to the nearest one thousand.
-1515000
What is 2654.6263 rounded to 1 dp?
2654.6
What is 0.00001139209621 rounded to 6 dps?
0.000011
What is -0.00323935696 rounded to three dps?
-0.003
What is 0.087165503 rounded to 5 decimal places?
0.08717
Round -266524.844 to the nearest 1000.
-267000
Round 0.0108428559 to 3 decimal places.
0.011
Round 25029.31079 to the nearest 1000.
25000
What is -0.0298318783 rounded to 3 dps?
-0.03
What is 0.00441754092 rounded to five decimal places?
0.00442
What is -0.0001666764 rounded to four dps?
-0.0002
What is -73234408780 rounded to the nearest 1000000?
-73234000000
Round -671034.5 to the nearest one hundred.
-671000
Round -0.0000001492701648 to 7 decimal places.
-0.0000001
Round -0.0285272067 to three dps.
-0.029
What is 0.2713427 rounded to four dps?
0.2713
Round -62092.8638 to the nearest one hundred.
-62100
Round 0.0176574562 to four dps.
0.0177
Round 1947032091.1 to the nearest 1000000.
1947000000
What is -0.0000145454456 rounded to seven decimal places?
-0.0000145
Round -0.52082116 to three decimal places.
-0.521
Round 145568610 to the nearest 1000000.
146000000
What is 0.057114715 rounded to two decimal places?
0.06
What is -2.9663157 rounded to the nearest integer?
-3
Round 493098.6262 to the nearest ten thousand.
490000
What is -344278370.5 rounded to the nearest one million?
-344000000
What is 0.00363295442 rounded to 5 decimal places?
0.00363
Round -0.000000692689027 to 7 dps.
-0.0000007
What is -1456006.2 rounded to the nearest one thousand?
-1456000
What is 291.458864 rounded to the nearest integer?
291
Round -145147.2785 to the nearest 100.
-145100
What is -0.00811814011 rounded to 4 decimal places?
-0.0081
What is 38539542500 rounded to the nearest 1000000?
38540000000
Round 11104.4679 to the nearest ten.
11100
What is -0.0070743301 rounded to five decimal places?
-0.00707
What is 0.031214397155 rounded to 6 dps?
0.031214
Round 7153618.77 to the nearest ten thousand.
7150000
Round -0.00000172428893 to seven decimal places.
-0.0000017
Round 14.412736789 to 0 decimal places.
14
Round 0.8745082591 to five dps.
0.87451
What is 318054.662 rounded to the nearest one thousand?
318000
Round -43.7767409 to the nearest ten.
-40
What is -2.338047701 rounded to four dps?
-2.338
Round -0.0000016834225 to six dps.
-0.000002
What is 4159396.55 rounded to the nearest ten thousand?
4160000
Round 1.1292792264 to three decimal places.
1.129
Round -5768314.8 to the nearest 100000.
-5800000
What is 426648.8895 rounded to the nearest 100000?
400000
Round 0.019117254 to three decimal places.
0.019
What is -196.065455 rounded to 0 decimal places?
-196
What is 454.4213855 rounded to the n | {
"pile_set_name": "DM Mathematics"
} |
21
Let n = -64 + 80. Suppose 3 + 6 = h. Let y = -6 + h. Calculate the remainder when n is divided by y.
1
Suppose -3*m - 3*c + 858 = 0, -4*m - 44 + 1206 = -5*c. Let b = 136 - m. Let d = -123 - b. Calculate the remainder when d is divided by 10.
9
Let y(g) = 10*g**2 - 3*g + 3. Suppose -2*c = -u - 209, 3*c + 66*u - 64*u - 296 = 0. Calculate the remainder when c is divided by y(2).
28
What is the remainder when (75/2)/((-62)/(-1364)) is divided by 409?
7
What is the remainder when 3886 is divided by 139*(7/(-7 + 0) - -2)?
133
Let i(p) = -p**2 - 6*p. Let q be i(-5). Let r(t) = t**2 - t - 3. What is the remainder when r(q) is divided by (-39)/(819/(-357)) - (-21)/(-3)?
7
Let h(g) = g**3 + g**2 + 6. Let k be h(0). Calculate the remainder when (((-12)/(-5))/(-12))/((-1)/485) is divided by k/(-27) - (-598)/18.
31
Suppose -4*w = 2*z - 3*z - 16, 0 = 2*w - 8. Suppose -5*j + 91 = 4*y, z = -2*j + 3*j - 4*y - 23. Calculate the remainder when 73 is divided by j.
16
Suppose -4*v + 2*r = -564, -40*v + 45*v = 4*r + 708. Calculate the remainder when 2936 is divided by v.
136
Suppose -5*q - 4*a + 145 = -7*a, -q + 1 = 5*a. Calculate the remainder when 1842 is divided by q.
22
Let a be 2/(-14) - (7 - (-1550)/(-70)). Suppose 0 = -10*d + a*d - 2295. What is the remainder when d is divided by 42?
39
Let q = -275 + 257. What is the remainder when (24 + q)*(-40)/(-6) is divided by 6?
4
Suppose 33*g - 8*g - 504 - 1971 = 0. Calculate the remainder when 817 is divided by g.
25
Let j be ((-188)/(-141))/(4/(-306)). Calculate the remainder when 49 - (-2)/2 - (-306)/j is divided by 16.
15
Let j(t) = -t + 14. Let d = 4 - 4. Suppose 0 = 4*q + 24, -33*a = 3*q + 237 - 3420. Calculate the remainder when a is divided by j(d).
13
Suppose -k + 1647 - 457 = -5*p, -p = k + 232. Let o = -117 - p. Suppose -6*z + z - x = -294, x = -2*z + o. Calculate the remainder when 172 is divided by z.
56
Suppose 0 = 70*h - 16*h + 6*h - 5760. Calculate the remainder when h is divided by 33.
30
Let j = 604 - 590. Let r(f) = -8*f**2 + 114*f - 2. Calculate the remainder when 258 is divided by r(j).
24
Suppose 4*y = 5*a - 62, -5*a = -8*a - 5*y + 89. What is the remainder when 1633 is divided by a?
13
Let y = -232 + 390. What is the remainder when 1412 is divided by y?
148
Let r = 3739 - 1627. Let k = r + -2087. What is the remainder when 4/14 + 2432/14 is divided by k?
24
Suppose -2*w = 4*k - 0*k + 32, -3*k = 5*w + 10. What is the remainder when 53 is divided by (-2)/k*1 - 270/(-25)?
9
Suppose -44*p = -10*p - 1938. Suppose -p*t + 280 = -29*t. Let z = -19 - -35. Calculate the remainder when z is divided by t.
6
Suppose -438*i - 35509 = -119876 - 42653. What is the remainder when 1179 is divided by i?
19
Let l(u) = u**2 + 7*u - 17. Let i be l(-11). Suppose -25*j = -22*j - i. Calculate the remainder when 206 is divided by (-9870)/(-189) + (-2)/j.
50
Suppose -2*v - 4*b = -8*b - 18, 5*b = v. Let w = -3487 - -3490. What is the remainder when v is divided by w?
0
Suppose l + 4*c = 403 - 41, c = 3*l - 1060. What is the remainder when l is divided by 12?
6
Calculate the remainder when 247 is divided by ((-258)/172)/((6/124)/(-1)).
30
Let n(b) = b**2 + 2*b - 7. Let p be n(-5). Suppose 3*d = 0, 3*l - 2*d + 4 = -p. What is the remainder when (-5 - -83)*(-6)/l is divided by 24?
21
Calculate the remainder when (-12)/(-8)*2 - 6 - -712 is divided by 89.
86
Suppose -5*p - 360 = -5*h, -6*h + 150 = -4*h + 4*p. Let w = h + -67. Let j(r) = 5*r**2 - 25*r + 8. What is the remainder when j(w) is divided by 22?
16
Suppose 16*j - 82*j + 1176 = -738. What is the remainder when 1765 is divided by j?
25
Suppose -2*u + 12 + 20 = 0. Calculate the remainder when (u/6)/(3/45) is divided by (12 + 2717/(-228))*168.
12
Let c be (-3155)/6 + (1 - 14/12). Let y = c - -537. Calculate the remainder when y is divided by 1.
0
Calculate the remainder when (12/(-8))/((-120)/19280) is divided by 33.
10
Suppose -5*s + 4*k = -685, -107*k + 103*k + 512 = 4*s. Calculate the remainder when 397 is divided by s.
131
Let f(g) = 231*g + 663. Calculate the remainder when f(-2) is divided by 117.
84
Suppose c = -3*p + 1, -2 + 0 = 2*p. Suppose 2*s = c*y - s + 11, -2*y - 2*s = -12. Calculate the remainder when (4/16)/(4/16) is divided by y.
0
Suppose 0 = g + 14*x - 12*x - 105, g - 84 = 5*x. Let c = 107 + -86. What is the remainder when g is divided by c?
15
Suppose 3*h = 3*b - 2190, 4*b - 39*h + 42*h - 2948 = 0. What is the remainder when b is divided by 46?
44
Let j = -64 - -160. Let p be (-2 - -5)*j/9. Suppose -h + 117 = 4*o, -5*o + p = -2*h - 111. What is the remainder when o is divided by 11?
7
Let u(r) = -r**3 - 6*r**2 - 4*r. Let v be u(-6). Suppose -33 = 10*p - 33. Suppose p = 5*x - 6*x + v. Calculate the remainder when x is divided by 14.
10
Suppose 0 = 5*l - 15*o - 4405, -2*l + 15*o + 1786 = 13*o. Calculate the remainder when l is divided by 296.
11
Suppose -57*y - g + 318 = -52*y, -3*y + 180 = -3*g. Calculate the remainder when 314 is divided by y.
62
Let q = -108 + 113. Suppose 49 = 2*z - 3*c, -103 = -4*z + q*c - 4*c. What is the remainder when 124 is divided by z?
20
Let v = 12237 - 11299. What is the remainder when v is divided by 56?
42
Let m = -41 - -89. Let w = m - -98. What is the remainder when w is divided by 75?
71
Let q(g) = -2*g - 43. Let r be q(-23). Calculate the remainder when 13/((-1)/r*9/(-21)) is divided by 19.
15
Suppose -30 = -54*w + 59*w. Let o(g) = -16*g - 82. What is the remainder when 49 is divided by o(w)?
7
Suppose -y - 460 = -5*y. Suppose 102 + y = 7*t. Suppose z + 2*o = 18, 4*o = -3*z + t + 21. Calculate the remainder when z is divided by 9.
7
Let h(a) = -2*a**2 + 16*a + 5. Let q be h(9). Let n(g) = g**2 + 11*g - 18. What is the remainder when 656/22 - 0 - (-8)/44 is divided by n(q)?
6
Suppose -33*y - 44 = -44*y. Suppose y*d + 4*u = -u + 263, -u = -4*d + 293. Calculate the remainder when d is divided by 7.
2
Suppose -8*g + 7*g + 3*v + 17 = 0, -5*g + 199 = 4*v. What is the remainder when 141 is divided by g?
1
Let q = 183 + 500. Let m = q + -674. What is the remainder when 33 is divided by m?
6
Let s = -17851 - -18423. What is the remainder when 1153 is divided by s?
9
Let g(r) = r**3 - 4*r**2 + r - 1. Let i be g(4). Suppose -10*v - i*v = -676. What is the remainder when v is divided by 9?
7
Suppose 0 = 9*b - 42*b + 3762. Calculate the remainder when b is divided by 2*((-91)/14)/(-1).
10
Let t(v) = -v + 22. Let y be t(-4). Let o(x) = -4*x + y - 77 + 6. What is the remainder when 18 is divided by o(-13)?
4
Suppose 405*g - 507 = 366*g. What is the remainder when 4900 is divided by g?
12
Let p(t) = -t**2 + 2*t + 4. Let f be p(-4). Let a be (-1 + 2)/(2/f). What is the remainder when 24 is divided by (30/5)/((-6)/a)?
4
What is the remainder when 187 is divided by 4/(-24) - (-5445)/594?
7
Suppose 13356 = -12*a + 76*a - 49876. What is the remainder when a is divided by 48?
28
Let p(j) be the second derivative of -j**3/6 + 17*j**2 + 83*j. Calculate the remainder when p(-7) is divided by (44/10)/(2/10).
19
Let k = -1291 + 1300. What is the remainder when 93 is divided by k?
3
Let u = 5397 + -5289. Calculate the remainder when u is divided by 100.
8
Let a(g) = 3*g**2 - 2*g - 62. What is the remainder when a(-7) is divided by (-1)/(3*148/228 + -2)?
4
Let w = 1069 - 1045. Let n = 274 + 392. Calculate the remainder when n is divided by w.
18
Let i = -9 + 12. What is the remainder when 214/(i*4/6) is divided by 33 - -3*(3 - (4 + -2))?
35
Let g(i) = -2*i**3 + 12*i**2 + 5. Suppose 0 = -5*f + 2*f. Let z(t) = -t**3 - t**2 - 2*t + 3. Calculate the remainder when g(6) is divided by z(f).
2
Suppose -l + 1790 = 4*l - 4*v, -1426 = -4*l + 2*v. Suppose -318 = -12*n + l. What is the remainder when n is divided by 19?
18
Suppose -28531 = -38*h + 27458 + 21607. What is the remainder when h is divided by 93?
89
Let u(f) = 5*f + 128. Suppose -3*l = -6, -4*l = -3*y - 0*y + 313. Calculate the remainder when y is divided by u(-20).
23
Let j(t) = -42*t + 9. Let h be j(6). Let s = 262 + h. Calculate the remainder when 149 is divided by s.
16
Suppose -26 = 2*l - 38. Let q(c) = -c - 11. Let b be q(l). Let y = -9 - b. Calculate the remainder when 13 is divided by y.
5
Let k(n) = -n**3 + 9*n**2 + 6*n + 165. What is the remainder when 1497 is divided by k(10)?
1 | {
"pile_set_name": "DM Mathematics"
} |
2}.
4/1001
Two letters picked without replacement from {n: 2, k: 4, o: 10}. Give prob of picking 1 k and 1 n.
1/15
Calculate prob of picking 2 z, 1 t, and 1 n when four letters picked without replacement from {t: 4, n: 10, z: 5}.
100/969
What is prob of picking 1 g and 3 w when four letters picked without replacement from {s: 5, m: 3, g: 1, w: 6}?
4/273
Four letters picked without replacement from gkllleksllelgll. Give prob of picking 1 g, 1 k, 1 l, and 1 e.
64/1365
Three letters picked without replacement from ewewqqqqeqwqqwqwwqw. What is prob of picking 1 w, 1 q, and 1 e?
63/323
Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {t: 7, y: 2, k: 4}.
14/39
Three letters picked without replacement from tujjnnjuujunjj. Give prob of picking 3 n.
1/364
Calculate prob of picking 1 z, 1 m, and 1 t when three letters picked without replacement from tqiizmmz.
1/14
Calculate prob of picking 1 l, 1 h, and 1 t when three letters picked without replacement from {t: 1, h: 1, l: 3}.
3/10
Three letters picked without replacement from qzzsqszzsszzzz. What is prob of picking 3 z?
2/13
Two letters picked without replacement from pkdyyoqo. Give prob of picking 1 o and 1 k.
1/14
Four letters picked without replacement from ototoooooooooozotooz. What is prob of picking 3 o and 1 z?
182/969
Two letters picked without replacement from ixxxxxixx. Give prob of picking 1 i and 1 x.
7/18
Three letters picked without replacement from {r: 3, w: 4, p: 5}. Give prob of picking 3 r.
1/220
Two letters picked without replacement from {j: 11, t: 7, v: 2}. Give prob of picking 2 j.
11/38
Calculate prob of picking 2 k and 1 m when three letters picked without replacement from kkmukkkumnkmmnkunmhk.
7/57
What is prob of picking 2 c when two letters picked without replacement from cgqqqgcckc?
2/15
Four letters picked without replacement from uffuuuq. What is prob of picking 1 f and 3 u?
8/35
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from dohhhgfgfhoeeog.
4/35
What is prob of picking 1 p, 1 f, and 1 y when three letters picked without replacement from {d: 1, f: 2, y: 4, p: 1, h: 1}?
2/21
Two letters picked without replacement from oxj. Give prob of picking 1 o and 1 j.
1/3
Two letters picked without replacement from {c: 2, p: 1, r: 2, w: 1, q: 1, v: 1}. Give prob of picking 1 v and 1 p.
1/28
What is prob of picking 2 n and 1 z when three letters picked without replacement from {n: 5, k: 4, z: 8}?
2/17
Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {d: 4, j: 5, n: 10}.
50/171
Calculate prob of picking 2 g when two letters picked without replacement from yggyygggggyygggggg.
26/51
Calculate prob of picking 3 p when three letters picked without replacement from {p: 5}.
1
Three letters picked without replacement from {p: 3, t: 8, e: 2, x: 4}. Give prob of picking 1 p and 2 e.
3/680
Three letters picked without replacement from {k: 1, y: 2, r: 4, f: 2}. Give prob of picking 2 f and 1 k.
1/84
Four letters picked without replacement from jrzzwkkkrcz. Give prob of picking 2 r and 2 z.
1/110
Calculate prob of picking 2 l when two letters picked without replacement from ggllllglggllllllggl.
22/57
What is prob of picking 2 y when two letters picked without replacement from {y: 3, a: 1}?
1/2
Calculate prob of picking 1 t, 1 u, and 1 w when three letters picked without replacement from uijjoooiowwtuuwi.
9/560
Calculate prob of picking 1 o and 1 e when two letters picked without replacement from totblnotlllllnleelb.
4/171
Two letters picked without replacement from {l: 2, u: 1, a: 1}. What is prob of picking 2 l?
1/6
What is prob of picking 2 u when two letters picked without replacement from {e: 9, u: 8, t: 2}?
28/171
What is prob of picking 4 s when four letters picked without replacement from {t: 1, u: 3, s: 4}?
1/70
Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {t: 3, v: 4, u: 2, g: 1, s: 2}.
1/33
Calculate prob of picking 1 w, 2 d, and 1 k when four letters picked without replacement from doodddkw.
3/35
What is prob of picking 1 n and 2 d when three letters picked without replacement from {a: 1, v: 2, n: 2, t: 4, d: 5, p: 1}?
4/91
Four letters picked without replacement from {z: 5, c: 7}. What is prob of picking 3 z and 1 c?
14/99
Three letters picked without replacement from bmbbmmbmbmbmbbbbmbb. Give prob of picking 1 m and 2 b.
154/323
Two letters picked without replacement from {w: 2, v: 2, c: 5, n: 8}. What is prob of picking 2 n?
7/34
Three letters picked without replacement from {o: 3, h: 7}. Give prob of picking 1 o and 2 h.
21/40
Two letters picked without replacement from yiycycccyyyyyycciy. What is prob of picking 2 c?
5/51
Calculate prob of picking 2 s, 1 a, and 1 m when four letters picked without replacement from skaakkmkmkkkmsak.
9/1820
What is prob of picking 2 b when two letters picked without replacement from {o: 2, x: 3, b: 5, e: 5}?
2/21
What is prob of picking 1 c, 1 i, and 1 f when three letters picked without replacement from fxbibxixxcbxxxhx?
1/280
What is prob of picking 3 h and 1 x when four letters picked without replacement from {h: 3, g: 6, x: 2, c: 1, r: 2}?
2/1001
Two letters picked without replacement from {f: 1, i: 2}. Give prob of picking 2 i.
1/3
Four letters picked without replacement from {c: 7, l: 6, f: 4}. Give prob of picking 1 l and 3 f.
6/595
Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {k: 2, l: 10}.
10/33
What is prob of picking 4 v when four letters picked without replacement from vvvvv?
1
Two letters picked without replacement from {b: 6, o: 1, r: 4}. Give prob of picking 1 o and 1 b.
6/55
Two letters picked without replacement from ixivavojaiooja. What is prob of picking 2 v?
1/91
Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {n: 2, t: 4}.
8/15
Four letters picked without replacement from aeepafkv. Give prob of picking 1 f, 1 a, 1 p, and 1 v.
1/35
Three letters picked without replacement from hhhehhehhheee. Give prob of picking 1 h and 2 e.
40/143
What is prob of picking 2 v and 2 n when four letters picked without replacement from {n: 8, v: 11, j: 1}?
308/969
Calculate prob of picking 3 y and 1 k when four letters picked without replacement from eyykyeyykyyy.
112/495
Two letters picked without replacement from cccxxxxx. Give prob of picking 1 x and 1 c.
15/28
Two letters picked without replacement from {c: 1, v: 8, u: 2, p: 1, r: 4}. What is prob of picking 1 p and 1 v?
1/15
Three letters picked without replacement from {h: 10, i: 10}. What is prob of picking 3 i?
2/19
Three letters picked without replacement from kpaakkutkpkktt. What is prob of picking 2 k and 1 u?
15/364
Four letters picked without replacement from djfffyffjdjfyvyqfff. What is prob of picking 2 d, 1 v, and 1 q?
1/3876
Three letters picked without replacement from ckaaaokokddppp. What is prob of picking 2 a and 1 d?
3/182
Three letters picked without replacement from mjxnjrr. Give prob of picking 2 r and 1 j.
2/35
Two letters picked without replacement from {b: 3, u: 12}. What is prob of picking 1 b and 1 u?
12/35
Calculate prob of picking 2 g when two letters picked without replacement from ucggrgclrrcplu.
3/91
Two letters picked without replacement from {p: 3, t: 6, u: 1, y: 1, r: 1}. What is prob of picking 1 r and 1 p?
1/22
Three letters picked without replacement from odjjgjogjjwooojojo. What is prob of picking 1 d and 2 o?
7/272
Three letters picked without replacement from {d: 10, t: 4}. What is prob of picking 3 d?
30/91
Calculate prob of picking 2 m and 2 d when four letters picked without replacement from mmmdmdmm.
3/14
Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, m: 2, o: 3, u: 6, s: 1, n: 4}.
1/57
Four letters picked without replacement from vhlgvfglglgg. What is prob of picking 1 l, 1 v, 1 f, and 1 h?
2/165
Three letters picked without replacement from {g: 2, s: 2, v: 1, y: 2, b: 3, p: 2}. What is prob of picking 1 y and 2 b?
3/110
Three letters picked without replacement from {j: 5, g: 3, r: 2}. Give prob of picking 2 g and 1 r.
1/20
What is prob of picking 1 g and 1 i when two letters | {
"pile_set_name": "DM Mathematics"
} |
der.
1, q, l
Let x = 4 - 1. Let f be 6/14*(-2)/(-3). Let i be 12/(-10) + (-4)/(-2). Put f, x, i in increasing order.
f, i, x
Let n = 0.1 - 5.1. Sort 1/8, n, 3.
n, 1/8, 3
Let x = 2.96 - -0.04. Let o = x - 1. Sort 5, 2/7, o in ascending order.
2/7, o, 5
Suppose 3*w + 4*b + 9 + 18 = 0, w = 4*b + 7. Let t = 2 + w. Put 3, t, 4 in decreasing order.
4, 3, t
Let l = 34/7 + -5. Let a = -0.08 - -0.18. Put a, -3, l in decreasing order.
a, l, -3
Let j = -2 - -3. Let w = 2.4 + j. Let o = 0.4 - w. Put -2/7, -4, o in descending order.
-2/7, o, -4
Let f = -3 - -5. Suppose -f*p - 1 = -5. Let l be ((-20)/24 - -1)*2. Put -2, l, p in decreasing order.
p, l, -2
Let h be 0/(-2) - -5*(-3)/15. Let y = -1.8 + 2. Sort y, h, -2/11.
h, -2/11, y
Let d = 286 + -3720/13. Let k = 163 + -1139/7. Suppose -4 = -4*b + 12. Sort d, k, b in increasing order.
d, k, b
Let c be 1/(-2*(-3)/(-24)). Sort 4, -20, c.
-20, c, 4
Let r = 52/77 + -6/7. Sort r, 1, 1/24.
r, 1/24, 1
Let j = -0.05 - 0.25. Let s(l) = l**3 - 6*l**2 + 3. Let r be s(6). Suppose r*u = 6, 4*y - 16 = -2*u + 4*u. Sort j, 4, y.
j, 4, y
Let m = 1 + -3. Let q = -2.1 - m. Let v = -35.4 + 35. Sort q, v, -3 in descending order.
q, v, -3
Let m = -10.8 + 10.6. Sort -0.27, 1/2, m.
-0.27, m, 1/2
Let t = -3 - -19/7. Let d = 2 + -2. Let n = 1 - d. Sort 0.4, t, n.
t, 0.4, n
Let t = 166/3 + -54. Sort -2, t, 5, -0.5 in descending order.
5, t, -0.5, -2
Let u = 23 - 27. Put 5, -36, u in ascending order.
-36, u, 5
Let o = -9 + 0. Let f = -7 - o. Let k be (-7)/5 - (-2)/5. Put f, 1, k in ascending order.
k, 1, f
Suppose 2*m + q - 9 = 0, 1 - 10 = -3*q. Let p = -4 - 3. Put m, -3, p in decreasing order.
m, -3, p
Suppose 24 = 2*x + 4*t + 2, -x - t = -7. Let v(g) = g - 2. Let w be v(x). Suppose -3*h - 2 = -17. Sort 4, h, w in decreasing order.
h, 4, w
Let r = -11 + 7. Suppose 10 + 2 = 4*h + 5*y, -h = 3*y - 3. Let u be (3 - 3)/(0 - 2). Sort r, h, u.
r, u, h
Suppose 0*r + 2*r = -6. Let q = 3 + -9. Let y be (-6)/(-1)*(-4)/q. Put r, -2, y in increasing order.
r, -2, y
Let j be 3/2*(-2)/3. Put 3, -2, j in ascending order.
-2, j, 3
Let h(f) = -4*f**3 - f**2 - f + 1. Let t be h(1). Let l = 4 - 3. Sort -3, t, l in decreasing order.
l, -3, t
Suppose -6*o + 2*o = -16. Suppose -v + o = v. Let g be (0 - 0)/(4 - v). Put 3, g, -1/2 in descending order.
3, g, -1/2
Let u(n) = n**3 + 13*n**2 - 14*n - 4. Let q be u(-14). Put -2, q, -5, 1 in ascending order.
-5, q, -2, 1
Suppose 0 = 5*h - 15. Let l = 2 + -6. Sort -2, l, h.
l, -2, h
Let n = 18 + -8. Let c be (n/(-8))/(1/4). Let x = -3.95 - 0.05. Sort 5, c, x in descending order.
5, x, c
Let a = 91 - 93. Put 1, -4/5, a in ascending order.
a, -4/5, 1
Let a = 1 + -1.2. Put 0.3, a, -1/2 in decreasing order.
0.3, a, -1/2
Let c = 104 - 102. Sort 0.2, c, 0, -0.5.
-0.5, 0, 0.2, c
Let w = 24 - 29. Put -2, 0, w in descending order.
0, -2, w
Let z(s) = s + 1. Let v be z(4). Suppose -26 = 5*n + 2*x + 2*x, n + 22 = -v*x. Let c = 4 + -5. Sort n, -3, c in decreasing order.
c, n, -3
Let x = -1 - 0. Let m be 10*((-3)/2 - x). Let a be (-2)/4 + m/(-10). Put a, -2, -1 in ascending order.
-2, -1, a
Suppose 0 = 3*a - 8 - 1. Let i = -35 + 32. Sort a, 0, i in increasing order.
i, 0, a
Suppose 0 = 2*o - 6*o. Put o, -0.5, -3 in increasing order.
-3, -0.5, o
Let x = 2/43 + 203/258. Put 3, x, 0.01 in increasing order.
0.01, x, 3
Let y = -0.024 - 4.976. Sort -4, 0.01, y in ascending order.
y, -4, 0.01
Let f = 63 - 63.5. Put 0, 0.4, f, 1 in ascending order.
f, 0, 0.4, 1
Let a = 7.86 - -0.14. Let f = 11 - a. Let w = -1 + 2. Sort w, f, 1/4.
1/4, w, f
Let s be ((-4 - -4)/(4 - 3))/(-3). Put 12, s, 4 in decreasing order.
12, 4, s
Let m = -12.3 - -3.3. Sort m, -0.3, -1/2.
m, -1/2, -0.3
Let v be (-15)/(-10) - (-2)/4. Suppose -v*c + 2 = -3*c. Sort c, -1, 3 in descending order.
3, -1, c
Let y = 11.71 - 12. Let j = 0.19 + y. Let p be -1 - (8/(-3) - -1). Put p, -1, j in increasing order.
-1, j, p
Suppose 2*q + 12 = -m, 2*m + 2*q + 7 + 9 = 0. Sort m, 1, -13 in decreasing order.
1, m, -13
Let a = -2.5 - -0.5. Let h = -2 - a. Let l = 3.12 - 0.12. Put h, l, 2 in descending order.
l, 2, h
Let n = -41 + 36. Let v(s) = -2*s**2 + 3*s + 3. Let h be v(3). Let j(g) = g**2 + 5*g - 8. Let b be j(h). Put n, 3, b in decreasing order.
3, b, n
Suppose 6 = -5*y + 21. Suppose -2 = 4*j - 6*j, -2*g = -4*j - 6. Sort g, y, 1 in ascending order.
1, y, g
Let m(j) = j**3 - j**2. Let g be m(1). Put -4, g, 18 in decreasing order.
18, g, -4
Suppose -1 = -4*l - k - 18, 0 = -2*l - 5*k - 13. Let n be (-3 - l)*(-2 + -1). Let o be 1*4 - (-252)/(-54). Put n, -0.5, o in decreasing order.
-0.5, o, n
Suppose -3*h - 18 + 0 = 0. Let b be h/27 - 26/(-36). Put b, -2/9, -2 in ascending order.
-2, -2/9, b
Let k = 6.1 - 6. Let m = -11 - -9. Put 4, k, m in increasing order.
m, k, 4
Let m = 0.3 + -11.3. Let r = 4 + m. Let q = r - -8. Sort q, 0.4, -3/4 in ascending order.
-3/4, 0.4, q
Suppose 1 - 13 = -4*d. Let j be 2 + 0 + (d - 6). Sort j, -2, 2 in decreasing order.
2, j, -2
Suppose -5*p = 15, -4*p = -j + 4*j + 9. Let m(d) = -d**3 - 2*d**2 + 2*d - 1. Let t be m(j). Put -5, 3, t in descending order.
3, t, -5
Let c be (-23)/(-7) + -1 - 2. Put -3, 0, c in descending order.
c, 0, -3
Let p = 68 + -65. Put p, 0.5, 1, -0.2 in descending order.
p, 1, 0.5, -0.2
Suppose -12*o - 14 - 22 = 0. Let i be (-3)/(-2)*4/3. Let a = 1 - 1. Put o, i, a in decreasing order.
i, a, o
Suppose 9 = j - 8. Let a = j - 19. Put a, -4, -3 in increasing order.
-4, -3, a
Let i = -3 + 5. Suppose g + 1 = 3*q, -3*q + 0*g = -5*g - 5. Sort i, q, 4 in decreasing order.
4, i, q
Let l = -1 - -2. Let o = 1.4 - l. Let r = 3.86 + 0.14. Sort 2/3, o, r in increasing order.
o, 2/3, r
Suppose 3*v = 15, 4*r = r + v - 20. Sort 1, r, 2 in descending order.
2, 1, r
Let k be -2 - -7 - (-5 + 5). Suppose k*g - r - 25 = 0, 3*g = r + 9 + 8. Put -5, g, -7 in increasing order.
-7, -5, g
Let m = 0.5 + -0.3. Let x = -0.2 - m. Let h = -231/4 - -58. Put x, 5, h in descending order.
5, h, x
Let g = -23.18 + 23. Let d = 0.02 - g. Let b = -7.7 - -8. Put d, b, 0.1 in ascending order.
0.1, d, b
Let l = 10 - 5. Sort l, -3, 0 in increasing order.
-3, 0, l
Suppose 3*n - 10 = -c - 0*c, -5*n = -c - 6. Let h be (2/4 - 1) + 1. Sort -1/5, c, h in ascending order.
-1/5, h, c
Let p be (20/(-12))/(2 - 9). Let j = 2/21 + p. Let h be (-2)/(-5)*(-10)/7. Sort j, -1/5, h in ascending order.
h, -1/5, j
Let o be 2 - (-27)/(-6) - (-3)/2. Sort o, -0.5, -4, 5 in increasing order.
-4, o, -0.5, 5
Let l = 5 + -3. Let g be 2/(-4)*(-1 + -1). Suppose 0 = -f - 2*w + 12, -w = 2*f - 1 - 11. Put g, l, f in decreasing order.
f, l, g
Let x(z) = 4*z - 72. Let r be x(18). Put 1, r, 36 in decreasing order.
36, 1, r
Let t be (-205)/(-20) + 2/(-8). Sort 4, -5, t in increasing order.
-5, 4, t
Suppose -4*b - 5*k - 11 = 0, -5*b - 2*k + 0 = 1. Put -5, 0, 3, b in decreasing order.
3, b, 0, -5
Suppose -3 - 2 = -5*c. Sort 2, c, 0.
0, c, 2
Suppose 2*c - 4*f = -f + 17, -3*c + 2*f = -13. Put 0, c, -3 in descending order.
c, 0, -3
Let m = 8.4 + -1.4. Let v = m + -6.6. Let f = -4.5 + 0.5. Sort v, f, 2/7.
f, 2/7, v
Let g(b) = 3*b**3 - 3*b**2 + 1. Let k be g(-1). Sort k, 3, -1 in increasing order.
k, -1, 3
Let a(g) = -g**3 + 7*g**2 - 6*g - 5. Let l be a(6). Sort -1, l, 2 in decreasing order.
2, -1, l
Let v = 32 + -32.3. Let g = -1 - -4. Sort -2/17, v, g in increasing order.
v, -2/17, g
Let v = 11 + -8. Suppose 0*a - v*a = -6. Let s be -1*(a + -3)*-1. Put s, -4, -2 in decreasing order.
s, -2, -4
Suppose 10 = 4*j + 6. Suppose 0 = -0*b - 3*b - 15. Let i(y) = y**3 + 4*y**2 + 2. Let v be i(-4). Sort j, b, v.
b, j, v
Let v be (-2)/(-21)*(-14)/(-6). Let x = 0 + 1. Sort 0.4, v, x in descending order.
x, 0.4, v
Suppose i = -2, 6 = -0*u + 3*u + 3*i. Suppose 23 = -3*a - 4*j, -2*a + 4*j = u - 2. Sort 3/8, a, 2 in increasing order.
a, 3/8, 2
Let l(o) = o - 5. Let q(h) = h - 4. Let a(v) = -5*l(v) + 6*q(v). Let s be a(-1). Suppose -5*k + 12 = -2*k. Sort k, s, -1.
-1, s, k
Let c = -35 + 314/9. Put c, 0.3, -2 in ascending order.
-2, c, 0.3
Let g = -3.899 + -0.101. Sort 0.4, g, 3 in ascending order.
g, 0.4, 3
Suppose 5*k - 3*k - 8 = 0. Suppose -3 = -5*a + 7. Suppose -5*y = 3*t - 4 + 3, 0 = -a*y + 4. Put -2, t, k in decreasing order.
k, -2, t
Suppose -5*t - 16 = -3*q, -4*q = -3*t - 12 - 2. Sort -1, q, -3.
-3, -1, q
Let q(g) = -g**2 + | {
"pile_set_name": "DM Mathematics"
} |
*p - 13768. Determine f(4).
168
Let c(f) = 9*f**2 + 404*f - 260. Determine c(-53).
3609
Let k(y) = -53788*y + 53783. Determine k(1).
-5
Let r(v) = -561*v + 668. What is r(-2)?
1790
Let y(m) = 11504*m**2 - 149552*m - 4. What is y(13)?
-4
Let s(r) = 13*r**3 + 219*r**2 - 94*r - 648. Give s(-17).
372
Let n(x) = x**3 - 139*x**2 - 551*x - 6. Calculate n(-4).
-90
Let y(f) = -1207*f - 204724. What is y(-170)?
466
Let c(t) = -2*t**2 - 345*t + 37757. Determine c(76).
-15
Let u(v) = v**2 - 72*v + 736. What is u(54)?
-236
Let y(q) = -10*q**2 - 212269*q - 1273259. What is y(-6)?
-5
Let l(h) = 175*h**2 + 6671*h - 53. Calculate l(-38).
-851
Let m(y) = -11272*y + 496017. Give m(44).
49
Let v(q) = 5599*q**2 + 33598*q - 16. Calculate v(-6).
-40
Let a(o) = 5483*o - 15132. Calculate a(3).
1317
Let q(c) = -3*c**3 + 674*c**2 - 426*c - 4849. Calculate q(224).
79
Let t(b) = 2*b**2 - 70*b - 3290. Give t(62).
58
Let z(t) = -1888*t + 20731. What is z(11)?
-37
Let j(f) = -2*f**2 - 100*f + 16400. Give j(-119).
-22
Let g(l) = -l**3 + 43*l**2 - 23*l - 690. Calculate g(42).
108
Let z(a) = 3*a**3 + 98*a**2 - 98*a - 1. What is z(1)?
2
Let w(z) = 23814*z - 47653. Calculate w(2).
-25
Let g(w) = w**3 - 68*w**2 - 142*w - 5029. Give g(71).
12
Let d(f) = -50467*f - 656065. Determine d(-13).
6
Let r(h) = 157*h**2 - 14599*h - 64. Determine r(93).
122
Let f(i) = 2*i**3 + 417*i**2 - 1436*i - 80387. What is f(-211)?
4
Let m(r) = -3*r**3 + 9*r**2 + 31*r + 44. Determine m(-4).
256
Let f(l) = 121*l - 250. Give f(5).
355
Let n(t) = 17*t**2 - 1387*t - 2783. What is n(-2)?
59
Let h(u) = -3270*u - 2256301. Calculate h(-690).
-1
Let t(r) = -r**3 - 32*r**2 - 25*r + 1048. What is t(-7)?
-2
Let y(j) = 22078*j - 441565. Determine y(20).
-5
Let z(a) = a**3 + 216*a**2 + 1223*a - 258. Calculate z(-6).
-36
Let n(u) = -3*u**2 + 384*u + 816. What is n(133)?
-1179
Let j(a) = 2*a**3 + 1392*a**2 - 1414*a - 13948. Calculate j(-697).
-8
Let r(u) = u**3 - 3*u**2 + 45*u - 830. Determine r(13).
1445
Let m(c) = -628*c - 11948. What is m(-19)?
-16
Let g(w) = -53*w**3 - 532*w**2 - 28*w - 42. What is g(-10)?
38
Let q(b) = -307096*b - 12283829. Determine q(-40).
11
Let j(f) = -f**2 + 2442*f - 12177. What is j(5)?
8
Let a(f) = -2*f**2 + 11013*f - 88166. What is a(8)?
-190
Let a(f) = 110878*f - 2439458. Determine a(22).
-142
Let z(k) = -6921*k - 20572. What is z(-3)?
191
Let b(a) = 271*a - 54183. Give b(199).
-254
Let z(d) = -3*d**3 + 61*d**2 - 83*d + 11. Give z(19).
-122
Let c(m) = -3022*m + 80787. Determine c(27).
-807
Let d(i) = -464*i**2 + 260856*i - 49464. Determine d(562).
-8
Let u(h) = -2509*h + 37634. Give u(15).
-1
Let x(a) = a**2 - 3643*a + 21859. Determine x(6).
37
Let z(x) = 44300*x - 40667395. Calculate z(918).
5
Let l(y) = -8*y**3 + 1128*y**2 - 7*y + 1122. What is l(141)?
135
Let t(r) = -64*r**2 - 35*r + 46. Give t(1).
-53
Let b(d) = 17*d**2 - 1425*d - 486. Calculate b(84).
-234
Let v(b) = b**3 - b**2 + 8141*b + 34. Give v(0).
34
Let h(i) = -334*i + 47367. Determine h(142).
-61
Let q(n) = 716*n - 145263. Calculate q(204).
801
Let c(z) = -27*z**3 - 305*z**2 + 608*z + 9. Determine c(2).
-211
Let r(s) = s**3 + 205*s**2 + 580*s - 5243. Calculate r(-202).
9
Let k(h) = 2*h**2 - 4014*h - 24130. Determine k(-6).
26
Let i(n) = 2*n**2 - 7116*n + 1763430. Give i(268).
-10
Let i(y) = -y**3 - 13*y**2 - 1209*y - 7203. Calculate i(-6).
-201
Let d(g) = 393*g + 13506. Calculate d(-34).
144
Let f(m) = 305*m - 4089. Determine f(12).
-429
Let n(g) = 1219*g - 8569. Determine n(4).
-3693
Let i(j) = -j**2 - 1768*j + 61272. What is i(34)?
4
Let j(m) = 166269*m - 2327767. Give j(14).
-1
Let b(n) = -2018*n + 40515. Determine b(20).
155
Let y(z) = -4*z**2 - 1522*z - 1513. Calculate y(-1).
5
Let z(w) = 53*w**3 - w**2 - 32. Give z(0).
-32
Let g(w) = -32*w**2 - 1467*w - 2802. Give g(-2).
4
Let g(i) = -3*i**2 + 40*i + 756. What is g(-23)?
-1751
Let b(t) = -89*t**2 + 32811*t + 65626. What is b(-2)?
-352
Let x(b) = -45*b**3 + 5490*b**2 - 25*b + 3115. Calculate x(122).
65
Let k(f) = -77128*f**2 + 1002668*f - 34. What is k(13)?
18
Let k(g) = 2366*g + 74455. Determine k(-31).
1109
Let m(x) = 7*x**3 - 9*x**2 - 4*x + 60. Determine m(-3).
-198
Let h(k) = 914*k + 20115. Give h(-22).
7
Let h(p) = 193*p - 106. Give h(11).
2017
Let v(b) = -1732*b + 98722. What is v(57)?
-2
Let w(y) = -y**2 + 3602*y - 7208. Determine w(2).
-8
Let l(t) = -t**3 - 80*t**2 + 13*t + 13089. Give l(-78).
-93
Let n(l) = 5*l**2 - 13090*l + 91391. Give n(7).
6
Let j(v) = 74*v**2 - 154*v + 451. Give j(3).
655
Let k(y) = 2*y**2 - 1911*y + 30041. Give k(16).
-23
Let l(h) = 18*h**2 + 1294*h + 902. Give l(-71).
-234
Let u(t) = -47*t**3 - 38*t**2 - 3*t - 6. Determine u(-1).
6
Let v(u) = -14*u**2 + 548*u - 5127. Give v(9).
-1329
Let h(k) = -k**2 - 790*k + 2136169. Calculate h(-1909).
-2
Let j(h) = 6*h**2 - 2036*h + 8032. Determine j(4).
-16
Let r(y) = -3*y**3 - 460*y**2 - 7425*y + 2. Calculate r(-135).
2
Let y(k) = -7*k**3 + 5*k**2 - 23*k - 117. What is y(-5)?
998
Let b(r) = 13362*r**2 + 106902*r + 44. Determine b(-8).
-4
Let o(d) = d**3 + 24*d**2 + 64*d - 269. Give o(-6).
-5
Let p(h) = -2030*h - 17195. Determine p(-9).
1075
Let j(c) = 27*c**2 - 756*c + 40. Give j(28).
40
Let y(s) = 12*s**2 + 12824*s - 77383. Calculate y(6).
-7
Let s(m) = -2173*m - 12469. Determine s(-7).
2742
Let l(y) = -6*y**2 + 3518*y + 95530. What is l(-26)?
6
Let i(a) = -a**3 - 96*a**2 + 608*a - 190. Calculate i(-102).
218
Let w(f) = 2088*f + 25548. Give w(-13).
-1596
Let t(q) = -5*q**3 + 185*q**2 - 213*q + 1194. Determine t(36).
6
Let l(b) = -257*b + 586. Give l(2).
72
Let p(s) = 2*s**3 - 9*s**2 - 58*s + 196. Give p(7).
35
Let m(t) = 8*t**2 + 110441*t - 110439. Give m(1).
10
Let f(a) = -14*a**2 - 2113*a + 62. Determine f(-151).
-89
Let r(k) = 11*k**2 + 280*k + 112. What is r(4)?
1408
Let u(b) = b**2 + 340*b + 8954. Determine u(-311).
-65
Let s(q) = -55*q + 7291. Calculate s(93).
2176
Let i(c) = -c**3 - 13*c**2 - 131315*c - 656370. What is i(-5)?
5
Let q(y) = -y**3 + 386*y**2 + 391*y - 298770. Calculate q(385).
-10
Let q(d) = -194*d + 1240. Calculate q(5).
270
Let z(m) = 3*m**3 - 3*m**2 - 249*m - 68. Calculate z(10).
142
Let k(j) = 56*j**3 + 463*j - 1386. What is k(3)?
1515
Let q(m) = 2318*m - 543. What is q(1)?
1775
Let i(d) = -444*d - 92502. What is i(-210)?
738
Let w(c) = c**2 - 727*c + 5643. Determine w(8).
-109
Let d(b) = -b**2 - 158*b - 4255. Give d(-124).
-39
Let h(f) = -2*f**3 - 70*f**2 + 5*f + 238. Determine h(-35).
63
Let h(l) = 5*l**2 + 177*l + 897. What is h(-37)?
1193
Let v(w) = w**3 + 6*w**2 - 361*w - 2056. Calculate v(-6).
110
Let r(p) = 189*p**2 - 2828*p - 114. What is r(15)?
-9
Let t(y) = -75*y - 12247. Calculate t(-159).
-322
Let g(h) = -h**3 - 17*h**2 + 70*h + 1225. Give g(9).
-251
Let h(n) = -782*n**2 + 186*n - 15. Calculate h(1).
-611
Let c(i) = 3*i**3 + 801*i**2 + 41*i + 10949. What is c(-267)?
2
Let w(x) = -2838*x - 278138. Give w(-98).
-14
Let h(n) = -2*n**3 - 401*n**2 - 454*n - 50826. Calculate h(-200).
-26
Let k(p) = p**2 + 3014*p + 81069. What is k(-27)?
420
Let n(r) = r**3 + 815*r**2 + 62053*r + 2198. Give n(-730).
8
Let d(t) = -12672*t - 240967. Determine d(-19).
-199
Let z(p) = 199*p**2 - 1780*p + 223. Give z(9).
322
Let w(g) = -2*g**3 + 49*g**2 + 423*g - 277. Calculate w(-7).
-151
Let i(f) = 1921*f - 127541. Calculate i(67).
1166
Let h(r) = r**2 - 48*r - 335. Give h(36).
-767
Let u(g) = -11068*g - 77473. Give u(-7).
3
Let h(a) = -12585*a - 100390. Determine h(-8).
290
Let k(g) = 1589*g - 5130. Determine k(3).
-363
Let c(o) = -2*o**3 + 72*o**2 + 151*o - 2919. What is c(37)?
-70
Let m(w) = 2929*w**2 + 111. Give m(0).
111
Let p(u) = 10*u**2 - 2537*u - 10016. Give p(-4).
292
Let u(c) = 66*c**2 + 138*c + 95. Calculate u(-6).
1643
Let y(d) = -35*d**3 - 1503*d**2 + 67*d - 761. Determine y(-43).
56
Let x(w) = -4087*w - 1565312. What is x(-383)?
9
Let y(z) = -z**3 + 56*z**2 - 308*z + 273. Calculate y(50).
-127
Let t(j) = -j**2 - 129482*j + 388435. Give t(3).
-20
Let s(q) = -2*q**3 + 175*q**2 - 3480*q + 185. Give s(57).
14
Let c(n) = -8*n**2 + 126*n - 1792. Determine c(14).
-1596
Let x(t) = 3*t**2 - 159*t + 780. What is x(5)?
60
Let n(i) = -i**3 + 7*i**2 + 63*i - 526. Determine n(16).
-1822
Let r(c) = 3*c**2 + 172*c + 877. Give r(-50).
-223
Let b(f) = -6075*f**2 - 24441*f + 11. Calcula | {
"pile_set_name": "DM Mathematics"
} |
-1.7. Sort 5, s, -4.
-4, s, 5
Suppose 3 = f - 2. Let p = -8 - -4. Put p, 4, f in decreasing order.
f, 4, p
Suppose -19 = 5*v - v - 3*i, 0 = 4*v - i + 17. Let b be 1 + 1 + -7 + 2. Sort v, b, 5 in ascending order.
v, b, 5
Let l = -117 - -821/7. Let c = 19 + -15. Sort 1/3, l, c in ascending order.
l, 1/3, c
Let z = 2 - 2. Suppose z = 6*t - 3*t - 24. Suppose t*p - 4 = 4*p. Sort -4, 3, p in ascending order.
-4, p, 3
Let r(p) = 2*p**3 + 2*p**2 - 4*p. Let j be r(-3). Let v be (-2)/(j/(-33)) - -2. Sort 4, 0.2, v in descending order.
4, 0.2, v
Suppose -2*j - 8 = 2. Let r(i) be the second derivative of -i**5/20 + 2*i**4/3 - i**3 - 3*i**2/2 - 2*i. Let n be r(7). Sort j, -4, n in increasing order.
j, -4, n
Let a = 0.2 - -0.1. Let j(r) = -4*r - 6. Let z be j(-2). Sort 5, a, z in decreasing order.
5, z, a
Suppose 2 = -2*o - 4*q, 0 = -3*o + q + 12 + 6. Suppose 5 = 4*i - 7. Sort o, -5, i in decreasing order.
o, i, -5
Let h be ((-5)/(-3))/((-2)/6). Suppose -4*r = 3*m - 32, 3*r + 5*m = 13 + 22. Sort h, r, 3 in ascending order.
h, 3, r
Let n be (-2)/12 - (-13)/(-39). Sort 1/2, -5, n in decreasing order.
1/2, n, -5
Suppose -4*y = -3*r - 0 - 1, y + 5*r + 17 = 0. Let w be 1*-2 - 1*(7 - 8). Put y, 1, w in ascending order.
y, w, 1
Let i = 46 + -46.4. Put 1/2, i, 4 in descending order.
4, 1/2, i
Let p = 4.5 + -3.7. Sort 0.4, 1/4, p in ascending order.
1/4, 0.4, p
Let h be 0 + ((-261)/6 - 1). Let l = -43 - h. Sort -1, 5, l in decreasing order.
5, l, -1
Let a = 89/9 + -10. Let p be (-8)/(-28) - 60/63. Sort p, 4, a in descending order.
4, a, p
Let p = 284 + -282. Let o = -7 + 11. Let l = 29 - 21. Sort o, l, p in descending order.
l, o, p
Let n(p) = -p**3 + 11*p**2 - p + 11. Let s be n(11). Let t be (12/30)/((-7)/(-1930)). Let w = t + -110. Sort 4, s, w in descending order.
4, w, s
Let c = 6/31 + 13/93. Put -4, 1/4, c in descending order.
c, 1/4, -4
Let d = 26 - 28. Sort -0.1, d, 5, 0.3 in descending order.
5, 0.3, -0.1, d
Let j be 0 + -3 + -2 + 1. Suppose 0*a - 5*a + 15 = 0. Sort a, -3, j in decreasing order.
a, -3, j
Let b = 1.1 + -8.1. Let w = 8.5 + b. Let c = 0.5 - w. Sort -1/3, c, 4 in descending order.
4, -1/3, c
Suppose -5*l - 8 = -c + 11, 0 = 4*c - 3*l - 8. Sort 3, 2, c in decreasing order.
3, 2, c
Let w = 4 + -2. Let q = w - 1.5. Let g = 1 - q. Sort g, 0.4, -1 in increasing order.
-1, 0.4, g
Let x = -3 + 3.1. Let q = -48.4 - -48. Sort q, x, 4.
q, x, 4
Let x = -0.475 + -0.025. Let f = 0.1 - 0.3. Sort f, -4, x.
-4, x, f
Suppose 16*n - 16 + 0 = 0. Let i(k) = -k**3 + 3*k**2 - 3*k - 1. Let f be i(3). Sort f, n, 0 in decreasing order.
n, 0, f
Suppose 15*g = 20*g + 20. Sort 0, -3, g in decreasing order.
0, -3, g
Let z(x) = 5*x + 12. Let l be z(9). Let k = 38 - l. Put 5, k, 3 in ascending order.
k, 3, 5
Suppose 0 = 2*l - 0*l. Let q be (-2 - -3) + -1 - l. Suppose -4*h + 3 = -7*h + j, -5*j + 15 = q. Sort 1, 4, h in ascending order.
h, 1, 4
Let r = 5 + -5. Sort -5, -3, r in decreasing order.
r, -3, -5
Let r be 560/576 + 4/(-18). Let n = -16 + 50/3. Sort r, n, -2 in increasing order.
-2, n, r
Let q be 313/(-585) + (-20)/130. Let f be ((-4)/54)/((-2)/24). Let d = f + q. Sort d, -1/2, 4/9.
-1/2, d, 4/9
Suppose -6*m = 2*m + 32. Sort 9, m, 1.
m, 1, 9
Let u be (-9)/(-6) - (-39)/(-6). Put 2, -2, u in descending order.
2, -2, u
Let z be 6/(-27) + 94/18. Let r = -2 - -2. Suppose r = -z*n - 17 - 8. Sort -4, n, 5 in decreasing order.
5, -4, n
Let s(i) = i + 15. Let d be s(-18). Put -5, d, -31 in descending order.
d, -5, -31
Let r = -0.96 - -0.66. Sort r, 0.4, 4, 5.
r, 0.4, 4, 5
Let q(c) = -c**2 - c + 1. Let h be q(-2). Suppose 1 + 14 = 3*a. Sort a, 3, h in ascending order.
h, 3, a
Suppose 2*g + p = -0*p + 4, -3*p = 0. Suppose -2*z + 8 = -y + 2*z, 4 = 4*y + g*z. Suppose h + y = 5. Sort h, 3, 4 in increasing order.
3, 4, h
Let s(t) = 7 + 3*t**2 + 0*t**2 - 3*t - 4*t**2. Let k be s(-6). Let n be (-72)/(-154) - (-2)/k. Sort -3, -1, n in decreasing order.
n, -1, -3
Suppose 0*a = -2*a + 2*c + 8, -3*a = c - 12. Sort -5, a, -3 in descending order.
a, -3, -5
Let c = -11 - -6. Suppose 27 = -4*t + 3*h, 5*t - 2*t - h + 19 = 0. Sort -2, t, c in decreasing order.
-2, c, t
Let i = -32.5 - -31. Let m = i - -3.5. Let z be ((-3)/8 + 0)*-2. Sort 4, z, m in decreasing order.
4, m, z
Let w be (1 + 36)/((-6)/3 + 1). Sort -4, 4, w in increasing order.
w, -4, 4
Let f(r) = -r**3 - 2*r**2 + 4*r + 3. Let z be f(-2). Let i(j) = j. Let c be i(z). Let h be (-1)/(-1) + 0 + c. Sort -1, -2, h in increasing order.
h, -2, -1
Let f = -5.5 + 2.2. Let h = f + 3. Sort h, 2, 3.
h, 2, 3
Let m(j) = 7*j**3 + 2*j**2 + 2*j + 1. Let u be m(-1). Suppose 0 = x - 2*x + 5. Put -3, x, u in descending order.
x, -3, u
Let c(j) = -j + 1. Let n be c(-3). Let u(m) = 0*m + 1 + 0*m + n*m**2. Let s be u(1). Put 3, -3, s in descending order.
s, 3, -3
Let g = -5 + 7. Suppose -10*t + 4*t = 24. Sort g, -5, t in descending order.
g, t, -5
Let o = -141 + 142. Put -3, 7/2, o, -0.5 in decreasing order.
7/2, o, -0.5, -3
Let f = -10 - -10. Let q = 61/46 + 4/23. Put f, q, -0.2 in descending order.
q, f, -0.2
Let k = -5 - -3. Let c(i) = i**3 + 10*i**2 + 8*i - 13. Let a be c(-9). Sort -3, k, a in descending order.
k, -3, a
Let g be (-3)/7 - 11/7. Suppose 0 = 5*z + 2*m - 6, -4 = -4*z + 5*z + 3*m. Put g, 1, z in descending order.
z, 1, g
Suppose 0 = -4*d + 28 + 28. Let w be (-4)/d - 16/(-7). Let b be (30/20)/((-9)/30). Put 3, w, b in ascending order.
b, w, 3
Let b be (-26)/7 - (-6)/(-21). Suppose -a + 3*c - c = -9, -20 = 4*c. Let j be (2 - 1)/((-1)/(-2)). Sort a, j, b in decreasing order.
j, a, b
Let o = 1.4 + -1. Put o, -3, -1/12 in decreasing order.
o, -1/12, -3
Let a = 3/22 + 15/11. Sort 3/17, a, -3/2.
-3/2, 3/17, a
Let p(o) = -o**2 + 10*o - 4. Let l be p(7). Let n = 25 - l. Put -1, 1, n in descending order.
n, 1, -1
Let q = 12.5 + -8.5. Sort q, -3/5, 3, 2/5 in decreasing order.
q, 3, 2/5, -3/5
Let k = -114 - -114.53. Let b = 0.03 - k. Put -3, 0.1, b in descending order.
0.1, b, -3
Let r = 3 - -1. Let s be -5 - (-16 + -14)*2/6. Put r, s, 3 in ascending order.
3, r, s
Let j = 1.2 - 1.5. Sort j, 3/5, 0 in decreasing order.
3/5, 0, j
Let v = 0.12 - -0.28. Sort v, 0.1, 1.
0.1, v, 1
Let m be 1/(-2) + (-15)/(-10). Let j = -3 + 6. Suppose -j = 4*r + m. Sort -3/5, -2/13, r in increasing order.
r, -3/5, -2/13
Let o = 25 - 30. Sort -2/23, 1/2, o, -2/11.
o, -2/11, -2/23, 1/2
Let x = 26.6 - 27. Put 3/4, x, -5/4 in ascending order.
-5/4, x, 3/4
Let q = 55 + -50. Put 2, -2, q in decreasing order.
q, 2, -2
Let s be (-4)/14 + (-9)/(-7). Let c(u) = -u + 5. Let n be c(5). Let g(a) = 36*a - 31. Let b be g(1). Put b, s, n in descending order.
b, s, n
Let k be 1/3 + -1 + (-56)/(-63). Sort 1, 0, 0.1, k in decreasing order.
1, k, 0.1, 0
Suppose 0 = -3*r - r + 32. Suppose 2 = 2*a - r. Let t be (-2)/(-4)*(1 - a). Sort -2/5, t, -3 in increasing order.
-3, t, -2/5
Let j be (-3264)/(-819) - -1 - 0. Let r = j + -5/39. Let v = 129/28 - r. Put -2, v, 2/11 in increasing order.
-2, v, 2/11
Let c(r) = r**3 - 2*r**2 - r - 2. Let v be c(3). Let m be (12/(-8) + v)*2. Sort 2, m, 0 in decreasing order.
m, 2, 0
Let z(f) = f**2 + f - 6. Let m be z(-4). Sort 4, m, -2 in decreasing order.
m, 4, -2
Suppose 2*q + 0 = -8, 4*s + 3*q + 16 = 0. Let h(x) = x**2 + x + 1. Let j be h(s). Let u = 9 - 6. Sort j, u, 5 in descending order.
5, u, j
Let b(x) = -x - 6. Let t be b(-6). Suppose t = -5*a + 34 - 14. Put -2, a, 10 in decreasing order.
10, a, -2
Let b = -0.24 + -0.76. Sort -5, b, -0.5 in descending order.
-0.5, b, -5
Let w = 30 - 32. Put -3, w, -4 in ascending order.
-4, -3, w
Let u = 3.7 + -0.7. Let c = 1.97 - -0.03. Let q = u + c. Sort -0.3, q, -5.
-5, -0.3, q
Let a = 12 + -18. Let r(i) = -i. Let v be r(4). Sort 0.5, v, a in decreasing order.
0.5, v, a
Let j = -1 - -10/9. Suppose g + 4*g - 3*r = 10, 0 = 4*r + 20. Let y = -2 + 1.8. Sort g, y, j in increasing order.
g, y, j
Let s(a) = a**2 + 7*a - 11. Let j be s(-8). Let n be (-3)/j + 3 - 0. Sort -10, n, 0.3 in decreasing order.
n, 0.3, -10
Suppose p - 3 = c, 29 = 2*c + 4*p + p. Suppose c*j + 4 + 0 = 0. Let b be -1 - j/(-2 - -3). Sort 3, b, -4 in decreasing order.
3, b, -4
Let n = -27 + 24. Let u = -0.7 + 1. Sort u, n, -0.2 in ascending order.
n, -0.2, u
Let l = 81 - 83. Sort 34, 0, l in decreasing order.
34, 0, l
Let y = -9 + 11. Sort -1, 0, y, -5 | {
"pile_set_name": "DM Mathematics"
} |
be (-4 + 5)/((-1)/8). Let t = -12 - p. Let q = 41/315 - 2/105. Which is the nearest to 1? (a) t (b) q (c) 1
c
Let t be (-7)/((-14)/8) + -3. Let q be 1*t*2/(-7). Let l be (3/4)/((-30)/(-16)). Which is the nearest to -0.1? (a) q (b) l (c) -2
a
Let y be -1 - (0 - (-3)/9). Let o = 14 + -14.5. Which is the nearest to 0.1? (a) y (b) 0 (c) o
b
Let d = -4 + 0. What is the closest to -0.2 in -1, 0.4, d?
0.4
Let k = 4 + 2. Let j = k - 11/2. Let y be (2/4)/((-4)/32). Which is the closest to 2/9? (a) -3/4 (b) y (c) j
c
Let c(t) = -2 + 1 + t**2 - t + t**3 + 0*t. Let l be c(-1). Let r be (2/(-32))/(1/2). What is the closest to l in r, -2, -3?
r
Let f be ((-6)/(-18))/((-1)/(-3)). Let n be -4*f*(-9)/(-12). Which is the nearest to 2/5? (a) -1 (b) 4/5 (c) n
b
Let a = -3.3 - -3.3. What is the closest to 2/3 in 5, a, 2?
a
Suppose -35 = 11*c - 4*c. Let w = -0.1 - 0.9. What is the closest to w in -6/5, c, -2/3?
-6/5
Suppose -3*t + 12 = -2*b, -3*b = -5*t - 6*b + 20. Let n = -4228501/76 - -55639. Let a = n - 3/38. What is the closest to -0.1 in 1/8, a, t?
1/8
Let y = -17 - -17.4. Which is the closest to -0.1? (a) y (b) -4 (c) -0.4
c
Let m = 21 - 12. Which is the closest to -0.1? (a) 1/4 (b) m (c) -5
a
Let a be 6/2 - 4/(24/14). What is the nearest to a in -1/2, -0.1, -2/5?
-0.1
Let x = -0.55 + 0.6. Let w = 8.5 + -8. What is the nearest to x in -2, 0.1, w?
0.1
Let r = 0.009 + 0.061. What is the closest to -1 in 1, 4, r?
r
Let c = 3 - 2.5. Let t be 1 - (7 + 6/(-2)). What is the nearest to 0 in -0.2, c, t?
-0.2
Let d be (38/6 - 1) + 0. Let r = d - 67/12. Suppose 0*w - w = -2*u - 3, 3*w - 4*u = 7. Which is the nearest to w? (a) -2 (b) 0.3 (c) r
b
Let t = 69 - 73. What is the closest to 2 in 1/4, t, 0.6?
0.6
Let y = -0.1 + 0.4. Suppose r - 3*p + 4 = 0, -5*r - 2*p = 16 + 4. What is the closest to y in -0.1, -0.3, r?
-0.1
Let t = 21/40 - 1/8. Suppose 7*d + 15 = 2*d. Which is the closest to 0? (a) d (b) 5 (c) t
c
Let m = -2 + 2. Let o = -2.98 + -0.02. Let n = -7 - o. What is the nearest to -0.1 in -0.4, n, m?
m
Let z be 0 - 3*2/14. Let q = -24 - -19. What is the nearest to -1 in 0.1, z, q?
z
Let s = -0.17 - -0.2. Let o = 2.98 + -0.01. Let i = s + o. What is the nearest to 0.1 in 0.5, i, 0.1?
0.1
Let p = 0.7 - 0.6. What is the closest to 1/2 in p, 0.2, -4/3?
0.2
Let w be 2/(2/(0 + -1)). Let m = 0 - 0.5. Let h be (27/(-126))/(1/((-14)/12)). Which is the nearest to -0.2? (a) h (b) w (c) m
c
Let o = -26 - -26.17. Let u = -0.07 + o. Let x = -0.04 - 4.96. What is the closest to u in x, -4, -0.3?
-0.3
Suppose -5*r = -4*g + 33, 4*r - 5*g + 2 = -28. Let o = 6 - 5.93. Which is the closest to o? (a) 5 (b) 2 (c) r
b
Let o = 14 + -8. Let g = -5.97 + o. Let s = g + 0.07. What is the closest to s in 0.1, -2/11, 1/4?
0.1
Let f = -1.18 + 6.18. Let i = -0.1 - -1.1. Let d = -1 + i. Which is the nearest to d? (a) -1 (b) f (c) 0.4
c
Let j = -38 + 37.7. What is the closest to -1 in -2/9, j, 2/17?
j
Let l = -809/18318 + -1/426. What is the closest to -0.1 in l, 2/3, 0.1?
l
Let y be 56/66 - (128/24)/8. Let g = 2 + -3. Let z = 3 + -2. What is the closest to z in -0.5, g, y?
y
Let c = 4 - 3. Let r = 2199/7 + -317. Let i = -24/7 - r. What is the nearest to -1 in i, c, 3?
i
Let p = -7 - -6.9. Suppose -4*x + 17 = -x - 5*n, 3*x - 11 = -n. Let r(m) = -m**2 + 5*m - 1. Let g be r(x). Which is the nearest to -1? (a) 1 (b) p (c) g
b
Let g = 1.8 + -1. Let n = 0.8 - g. What is the nearest to -0.1 in 3, 2, n?
n
Let m = 51 + -51.3. What is the closest to -2 in 1/9, -4, m?
m
Suppose -3*l = -4*n - 2*l, 4*l - 15 = n. Let h be 4/(-2) + 1 + n. Suppose h*j = 3*j - 3. Which is the closest to 1? (a) -0.2 (b) -2 (c) j
c
Let t be (-6)/(-15) - 15/100. Which is the closest to t? (a) -4 (b) -3 (c) -0.4
c
Let c = 0.06 - 0.36. Let t = c - -0.4. What is the nearest to -0.04 in t, -0.2, -1?
t
Let t = -7.04 - 0.26. Let i = 7 + t. Let u = 1 + 3. What is the closest to 0 in -5, u, i?
i
Let h = 17 - 16. Which is the closest to 0? (a) 0 (b) h (c) -0.3
a
Let g = 0.4 + -3.2. Let z = 3 + g. Which is the closest to 0? (a) -3 (b) -1/10 (c) z
b
Let h = -2 + 1. Let r = h + 4. Let t = 913 - 909. Which is the closest to 0? (a) 2/3 (b) t (c) r
a
Let o = -7 + 10. Let w be (2 - 1)/(7/(14/(-15))). Which is the closest to -0.1? (a) o (b) w (c) 3/8
b
Let f = -17 - -18.3. Let i = 0.3 - f. Let p(t) = t**2 - t - 2. Let w be p(2). Which is the nearest to w? (a) -0.5 (b) 0 (c) i
b
Let a = -6 - -6.5. Let u = 0.2 - a. Let f = -4.87 - 0.13. What is the nearest to -0.1 in 1/3, u, f?
u
Let v be (-72)/7 - -10 - (-1)/28. Let w = -3.1 - -3. Which is the nearest to w? (a) -4 (b) v (c) 0.2
b
Let s = 3/526 - 1187/23670. Let k = -7/45 + s. Which is the closest to 2/3? (a) -0.4 (b) k (c) -0.5
b
Let n = -5.3 - -5. Let x = 0.08 + -0.11. Let s = x + 4.03. What is the closest to 1 in s, 1, n?
1
Suppose -4*v + j = -9*v + 115, -5*v = -2*j - 130. Let f be 1 - 2/(v/15). What is the closest to f in 0.1, 0.2, -5?
0.1
Let a = -8 + 6. What is the nearest to -1 in 0.2, a, -2/9?
-2/9
Suppose -4*v = -v - 0*v. Let j = -6 + 4. Which is the closest to v? (a) 2/15 (b) -0.4 (c) j
a
Let y = -0.7 - -1. Let r be (2/18*3)/1. Let t = -0.8 - 0.2. Which is the nearest to 1/3? (a) t (b) y (c) r
c
Let u be (1/(-14))/((-2)/4). Let d = 3/89 - 199/623. What is the closest to d in 0.4, 2/17, u?
2/17
Let w = 14.6 + -15. What is the nearest to 0 in -1, w, 4?
w
Let u = 3 - -1. Let t = 3.9 - u. What is the closest to t in -2, 2, -4?
-2
Suppose -3*m + 2*z = -0*z + 55, 20 = -m + z. Let g be (4/m)/((-2)/3). Let j be 1/(-3) + (-24)/(-45). Which is the closest to g? (a) 0 (b) -1/4 (c) j
c
Let f(w) = -w**2 + 6*w + 6. Let k be 5 + 0 + 3 + -1. Let i be f(k). Let t be (8/(-20))/(i/(-10)). What is the closest to -1 in 4, -1, t?
-1
Let h = 3.9 + -8.9. Let d be (-2)/4 + (-22)/(-20). Which is the closest to 2? (a) 1/2 (b) d (c) h
b
Let c = 7.8 + -2.8. Let k = 5 - c. What is the nearest to k in 5, -1/6, 4?
-1/6
Let i be 1 - -3 - (-627)/(-152). What is the closest to 1 in i, 0.28, -1?
0.28
Let i = 2/87 + 160/609. Let d be (-1)/(-2) - (-10)/4. Suppose 4 = -2*s - 3*l + 2*l, -4*s + 3*l = -12. What is the closest to s in d, -4, i?
i
Let u = 0.039 - -0.061. What is the nearest to u in -8, 1/4, -5?
1/4
Let p = 27 + -22. What is the nearest to -1 in -3, 0, p?
0
Let l be 2/(-8) - (-137)/516. Let h = l + 248/645. Let j be ((-2)/8)/((-21)/56). What is the closest to j in h, 1/6, -0.2?
h
Let u = -0.9 + 1.1. Let r = -0.1 + u. Which is the closest to r? (a) 5 (b) -1/2 (c) 2/13
c
Let u = -2.4 - -2. Let d = 50 - 35. Let x = d - 14. What is the closest to x in u, -1/5, 3/8?
3/8
Let v = -608/2655 + 2/295. Suppose -3 = 5*o + 2. Which is the closest to v? (a) o (b) -2 (c) -4
a
Let p be 2/4 + (-77)/(-14). Let i be (-24)/(-85) + p/(-15). Let t be 1/(-2)*2/(-3). What is the closest to 0.1 in i, -0.5, t?
i
Let h(b) = b**2 - 6*b - 6. Let k be h(7). Let x = 41/21 - 5/3. Let n = 5.6 - 0.6. What is the closest to 1 in k, n, x?
k
Let x be (-18)/81 + (65/(-18))/(-5). Let p be 0/(-1 + 3 - 3). Let n = 37 - 331/9. What is the nearest to p in x, -1/5, n?
-1/5
Let x = -1579/17 - -93. What is the nearest to -0.2 in -5/6, x, 2?
x
Let j = 77/30 + -19/6. Let w be (-1)/2 + -1 + 2. What is the closest to w in 3/2, j, -1?
3/2
Let n be 3/2 - 18/12. Let j = -0.1 - -0.4. Which is the nearest to n? (a) j (b) 0.1 (c) 5
b
Let i = -52 + 209/4. Let z = 13 - 19. Let p = -10 - z. Which is the closest to 1? (a) -0.5 (b) p (c) i
c
Let u = 412/5 + -82. Which is the closest to u? (a) -1 (b) 0.2 (c) 3
b
Let v = -5 + 3. Let f be v/(-28) + (-2)/(-4). Let o be (-2 - -1) + (-2)/(-5). Which is the closest to -2/3? (a) 2 (b) f (c) o
c
Let f = -1496/9 - -166. Let w = 61 - 61. Which is the closest to 1/4? (a) f (b) w (c) 0.1
c
Let f = 0.42 - -3.58. Let y = 16/115 - -6/23. What is the nearest to 1 in f, -0.4, y?
y
Let o = -5/7 - -46/35. Let c = 2 + -3.5. Let v = -1.5 + c. What is the nearest to 0 in -0.4, v, o?
-0.4
Let j(v) = 2*v**2 - 3. Let g be j(2). Suppose 15 = -0*l - g*l. Which is the nearest to 2/7? (a) l (b) -0.13 (c) -0.3
b
Let z be -5*2*322/(-175). Let w = z + -18. Let d be (1/(-3))/(5/2). Which is the closest to 4/7? (a) d (b) w (c) 4
b
Let o = -20/7 + 247/84. Wha | {
"pile_set_name": "DM Mathematics"
} |
d give s.
-6
Rearrange q**4 + 2*q + 93*q**3 - 2 + q**2 - 191*q**3 - 4*q + 93*q**3 to y*q**2 + u*q**3 + n*q + p*q**4 + g and give g.
-2
Express (3*h + 2 - 2)*(-h + 2*h - 3*h)*(1 - 1 - 1) as y + l*h**2 + c*h and give l.
6
Express (w**2 + 4*w**2 + 3*w**2)*(-w - 2*w + 5*w) in the form q*w**2 + d + l*w + z*w**3 and give z.
16
Express -2*z - 75*z - 48*z in the form r + n*z and give n.
-125
Express 0*z**3 - z**2 + z**3 + 8*z**3 + 11*z - 11*z**3 as w + m*z**3 + s*z**2 + l*z and give s.
-1
Express (-6*b + 6*b - 6*b)*(-1 + 4 - 5) + (-b + 2*b - 3*b)*(1 + 0 - 2) as v*b + m and give v.
14
Rearrange 37*i - 37*i + 13*i**2 to y + l*i**2 + k*i and give l.
13
Express (0*w + 3*w - w)*(6 + 0 - 2) + (-1 + 6 - 2)*(-2*w + 2*w + w) + 8*w - 5*w - 9*w as r + d*w and give d.
5
Express k + 66 + 2*k**2 - 66 + 7*k**2 in the form n*k**2 + m*k + a and give n.
9
Express (-s**3 - 4*s**3 + 4*s**3)*(0 + 2 + 0)*(-169 - 32 + 18)*(-3 - 2*s + 3) as l*s + r*s**3 + v + g*s**4 + j*s**2 and give g.
-732
Express -2*o + 14*o + 2 + 4*o as i*o + t and give t.
2
Express (-3 + a - 26*a**2 + 17*a**2 + 2)*(-6*a**2 - 4*a**2 - a**2) in the form g*a**2 + c + s*a**3 + t*a**4 + z*a and give t.
99
Express 5*b**3 + 2*b**2 - 2 - 319*b**4 + 318*b**4 - b - b**3 as m*b + r*b**3 + l*b**2 + s + z*b**4 and give r.
4
Rearrange 0 - r - r**2 + 46*r**4 - 43*r**4 + 2 to z + o*r**4 + f*r**2 + c*r**3 + n*r and give o.
3
Express 10*q + 22*q - 9*q as c + i*q and give i.
23
Rearrange n**3 - 1 + 3*n**3 + 2*n**2 + 0*n**3 - 9*n**3 to d + j*n**2 + m*n + t*n**3 and give j.
2
Rearrange -1 + 4*g + 6 - 5 to o + v*g and give v.
4
Express 0 + 60*x**4 - 3*x**3 - 2*x**2 - 2 + 2*x - 57*x**4 in the form w*x**3 + p*x + u + d*x**4 + a*x**2 and give a.
-2
Rearrange 6*q**2 + 2*q**2 + 1 + 2*q**4 + 0*q**2 - 2*q**3 - 4*q**2 to the form h*q**4 + u*q**2 + b*q + k + l*q**3 and give u.
4
Rearrange 23*t - 31*t + 22*t + 20*t to the form b + j*t and give j.
34
Rearrange 50 - 113*l - 4*l**2 + 5*l**2 + 113*l to i*l + q + m*l**2 and give q.
50
Rearrange (1 - 1 + y)*(-2 + 2*y + 2) + (-3 + 3 - 2*y)*(4*y + 0*y + y) + 2*y**2 + 4*y**2 - y**2 to the form s + o*y + p*y**2 and give p.
-3
Rearrange g**3 - 3*g**3 - 2*g**2 + g**2 to the form z*g**3 + s + c*g + m*g**2 and give z.
-2
Express (2 + 4*j - 2)*(2*j + 0*j - 4*j)*(0*j + 0*j - j) + (j**2 + 0*j**2 - 3*j**2)*(-2 + 2 - 2*j) in the form f*j**3 + c + q*j**2 + r*j and give f.
12
Express 4*c - 5*c**4 - c**4 - 3*c + c**2 as l*c**2 + j*c**4 + s + p*c**3 + k*c and give j.
-6
Rearrange -3*w**2 + 8*w - 9*w + w**2 to the form n + s*w + p*w**2 and give p.
-2
Express -5*s**4 + s**4 + 2*s + s**4 + (s**2 + 6*s**2 - 5*s**2)*(-3*s**2 - s + s) as q*s**3 + f + x*s**2 + c*s + t*s**4 and give c.
2
Express -4 + 20*f - 2 + 6 as x + d*f and give d.
20
Express (4 - 4 + j)*(2*j - j - 2*j) + 2548 - 2*j - 30*j**2 - 2548 as z*j**2 + k + s*j and give z.
-31
Express (20*u + 2*u + u)*(-4 + 4 + 3) as t*u + h and give t.
69
Rearrange 2*b + b**3 - 18*b**2 + 18*b**2 + 0*b to g*b**2 + c*b + u*b**3 + q and give u.
1
Express -8*d + 3*d**3 - d**3 - 4*d - d**4 + 11*d + 13*d**2 as u + a*d + i*d**3 + h*d**4 + f*d**2 and give i.
2
Rearrange -3*g - 12 - 16*g + 12 to the form l*g + w and give l.
-19
Express -13*v**2 + 8*v**2 + 8*v**2 - 8 as a*v + w*v**2 + d and give w.
3
Express 2553*g - 2572*g - 2 + 2 in the form m*g + y and give m.
-19
Rearrange (-2*r + 8*r - r)*(4*r - 4*r + r)*(0 - 7 - 1) to the form u + a*r**2 + l*r and give a.
-40
Express 7*g + 2*g + 4 - 6*g - 6*g in the form s*g + b and give s.
-3
Rearrange (295 - 47*b - 295)*(4 - 2 + 0 + 1 + 1 + 0 + (-1 + 4 - 1)*(3 + 0 - 2)) to the form l + r*b and give r.
-282
Express (-1 - 4 + 1)*(-o - 3*o - 3*o + (1 - 1 - 1)*(o - 2*o + 2*o)) in the form g + r*o and give r.
32
Express x**3 + 4*x**4 + 5*x**3 - 3*x**3 - 3*x**4 + x as w*x**2 + n + j*x**4 + d*x + q*x**3 and give q.
3
Express -h + 4*h**3 + 4*h**2 + h**3 - h**2 - h**2 + h**4 in the form d*h**4 + y + u*h**3 + i*h**2 + c*h and give d.
1
Rearrange -1 + 0 - 10*p**2 - 20*p**2 + 41*p**2 to m + k*p**2 + d*p and give k.
11
Rearrange -11*y - 11*y + 41*y - 16*y + 36*y**2 to the form j + q*y**2 + z*y and give q.
36
Rearrange 11*x**3 - 2 + 0*x**4 + x - 2*x**2 + 2*x**4 - 13*x**3 - 2*x to a*x**4 + m*x**3 + g*x**2 + d + v*x and give a.
2
Rearrange ((1 - 7 + 3)*(-1 - 1 + 6) - 1 + 1 + 2 + (5 - 2 - 4)*(0 - 3 + 4))*(i - 2*i + 3*i) to the form f*i + c and give c.
0
Rearrange 17*s + 25 - 15*s - 74 to q + k*s and give q.
-49
Rearrange (1 - 1 + 2)*(-d + 2*d - 3*d) + 0 - d + 0 - 16*d - 12*d - 4*d to b*d + y and give y.
0
Express (46*r**3 + 12*r**3 - 30*r**3)*(-4 + 2*r + 4)*(2 + 1 - 1) as w*r + o + l*r**3 + u*r**4 + m*r**2 and give u.
112
Rearrange (-4*y + 2*y + 4*y)*(4 + y**2 - 4) + 2*y**3 - 2*y + 2*y + (-5*y**2 + 2*y**2 + 2*y**2)*(-4*y - y - 13 + 4*y) to z*y + j*y**2 + f + t*y**3 and give j.
13
Express ((1 + 3 - 5)*(0 - 1 - 1) - 4 - 3 + 5 + 0 + 2 + 5)*(3*f + f - 3*f) in the form r + b*f and give r.
0
Express 3*b + 49 - 49 in the form u*b + i and give i.
0
Express 24*x + 4 - 8 + 2 in the form q*x + y and give q.
24
Rearrange (2 + 2 - 1)*(6 + 0 - 2)*(0*a + 2*a - 2 - 3*a) to the form b + v*a and give v.
-12
Rearrange 4 - 1 + 78*i**3 - 77*i**3 + 6*i to q*i**3 + x + f*i**2 + u*i and give q.
1
Express (1 - 1 + 1)*(1 - 2 + 0)*(-6*b**4 - 8*b**4 + 18*b**4) in the form l*b + t*b**4 + z + a*b**3 + c*b**2 and give t.
-4
Rearrange 3*q + 2*q - 3*q + (2*q + q - q)*(1 + 1 + 0) + (2*q + q - q)*(-5 + 1 + 2) to a*q + o and give a.
2
Express (-105 - 4*c + 49 + 37)*(0*c + 0*c - 2*c) as k + g*c**2 + t*c and give t.
38
Rearrange -13*z - 5*z + 4*z - 21*z to n*z + u and give n.
-35
Rearrange (-2 + 2 + 2)*(0*m + 2*m - 4*m)*(6 - 1 - 4)*(7*m - 3 - 6*m + 6) to k + q*m**2 + p*m and give p.
-12
Express -11 + 8 + 65*l**2 + 5 in the form z*l + y + o*l**2 and give y.
2
Express (4 - 3 + 4)*(-3 + 1 + 0)*(-3 - 2 + 4)*(-3*k**3 + 6*k**3 - 2*k**3) in the form x + s*k + b*k**2 + y*k**3 and give y.
10
Rearrange -c**3 + 10*c**2 + 7*c**2 + 3*c + 1 - 16*c**2 + 2*c**4 to d + j*c**2 + o*c + y*c**3 + n*c**4 and give n.
2
Express q + 0*q**2 - q**2 + 2*q**3 + 2*q**4 + 0*q**2 - 3*q in the form h + y*q**4 + n*q**2 + o*q + s*q**3 and give o.
-2
Rearrange (3*v**2 + 2*v**2 - 3*v**2)*(2*v - 2*v - 2*v) - 3*v**3 - 3*v**3 + 2*v**3 + 7*v**2 + v**3 - 7*v**2 to the form l*v**2 + s*v + o + a*v**3 and give a.
-7
Rearrange (-2 + 4 - 3)*(5 + 7*c + 8*c - 14*c) to y + u*c and give y.
-5
Express 10*z + 2*z + 3*z + 3*z as o*z + n and give o.
18
Rearrange 2*a**2 - 3*a**2 - a**2 + (-5*a + 3*a + 0*a)*(-1 + a + 1) - 2*a**2 - 4*a**2 + 4*a**2 + 47*a**2 - 165 + 165 to the form h*a + g + r*a**2 and give r.
41
Express (-3 + 0 + 2)*(-3*k + 3 - 3) + (-2 + 5 + 0)*(15 + 3 - 3)*(k - 3*k + 0*k) in the form f*k + q and give f.
-87
Rearrange -12*n**2 - 100 + n**2 + 95 to the form t*n + m*n**2 + f and give f.
-5
Rearrange (521 - 521 + 61*w)*(2*w - w + 0*w) + (-2*w - 3*w + 4*w)*(2*w - 3*w - w) + 6*w**2 - w**2 - 3*w**2 to the form x*w**2 + k*w + h and give x.
65
Rearrange (-4 + 4 - 2*y)*((2*y - 4*y + 4*y)*(-1 - 3 + 6) + 35 - 35 + 12*y)*(3 - 3 + 2*y) to p*y**2 + q + r*y + a*y**3 and give a.
-64
Rearrange (2 + q - 2)*(2*q - 2 + 2) - 3 - 1 + 107*q**2 + 4 to the form y*q + k + n*q**2 and give n.
109
Rearrange 5*i - 2*i - i + (93 + 124 - 312)*(-2 + 2 + 2*i) to the form u*i + f and give u.
-188
Rearrange -2*y**3 + 103*y**2 - 209*y**2 - y**4 + 104*y**2 - 6*y to g + n*y + z*y**2 + p*y**4 + m*y**3 and give p.
-1
Express (-39*y**3 + 80*y**3 - 15*y - 39*y**3)*(-5 - 3 + 2) in the form k*y**3 + d*y**2 + j + q*y and give k.
-12
Express (5 - 5 + 4*g**2)*(-5 + 2 + 2)*(18 - 9 + 13) in the form i*g + r*g**2 + o and give r.
-88
Express z**2 - 12 + 22 - 3*z**2 as c*z + r + a*z**2 and give r.
10
Express -90*s - 912 + 912 as k*s + y and give k.
-90
Express -15 + 56*r - 56*r + r**2 in the form w*r + k*r**2 + c and give c.
-15
Express 9*s - 4*s + s**4 + 2*s + 5*s**2 in the form d*s**3 + r*s + o*s**2 + h*s**4 + t and give r.
7
Express -3 + 3 + 3*f**3 - f**3 - 4*f + 3*f - 6*f**3 + (f**2 + 1 - 1)*(-4*f + f + f) as x*f + k + h*f**2 + a*f**3 and give x.
-1
Rearrange (-4 + 4 - 1)*(16 - 6 + 30)*(-p**4 - 4*p**4 + 3*p**4) to the form o*p**2 + c*p**4 + h*p**3 + l + i*p and give c.
80
Rearrange 42 - 38 - 2*u**2 + 2*u - 2*u**2 - 3*u + 2*u**4 to a*u**3 + c*u**2 + t*u**4 + i + d*u and give | {
"pile_set_name": "DM Mathematics"
} |
-q**3/2 + 3*q**2 - q. Calculate p*l(s) + 8*a(s).
-s + 2
Let b(q) = -3*q**3 - 6*q**2 - 7*q - 16. Let c(j) = 2*j**3 + 7*j**2 + 9*j + 19. Give -7*b(l) - 6*c(l).
9*l**3 - 5*l - 2
Suppose -81*l + 44*l - 185 = 0. Let o(i) = -i**2 - 5*i + 3. Let z(m) = -m**2 - 9*m + 6. What is l*o(y) + 3*z(y)?
2*y**2 - 2*y + 3
Let b(q) = 22*q**3 - 3*q**2 + 8. Let i(f) = -f**3 - f**2. Calculate -b(a) + 3*i(a).
-25*a**3 - 8
Let i = 9 - 1. Let y(v) = i - 8 - v**2 - 9*v - 5. Let u be y(-8). Let f(z) = -z - 2. Let j(o) = -1. What is u*f(l) - 6*j(l)?
-3*l
Let w(c) = -57*c + 2. Let s(f) = -29*f + 1. Give 5*s(o) - 3*w(o).
26*o - 1
Let n = 85 + -80. Let s be (-2*3/10)/(1/n). Let z(q) = -2*q**3 + 4*q**2 + 4*q. Let o(a) = 3*a**3 - 3*a**2 - 3*a. Determine s*z(b) - 4*o(b).
-6*b**3
Let p(m) = 3*m**2. Let y(j) = 7*j**2 + 2*j - 6. Let r(b) = 7*b**2 + 3*b - 9. Let i(o) = -2*r(o) + 3*y(o). Give -4*i(v) + 9*p(v).
-v**2
Let i(f) = f**3 + f - 1. Suppose 4 - 5 = x. Let m(o) = 8*o**3 + 4*o - 6. Determine x*m(t) + 6*i(t).
-2*t**3 + 2*t
Let w(j) = -3. Let g(z) = 9. Let u(p) = 46. Let t(m) = -11*g(m) + 2*u(m). Let k(v) = 6*t(v) - 13*w(v). Let q(i) = -i - 3. Calculate -3*k(o) + 2*q(o).
-2*o + 3
Let v(t) = -4*t**2 + 7*t - 6. Suppose 10*i - 15 + 65 = 0. Let b(p) = -p**2 - p. Let h(r) = r**2 + 3*r - 1. Let u(c) = -2*b(c) - h(c). Calculate i*u(l) - v(l).
-l**2 - 2*l + 1
Let q(t) = -8*t**3 - 7*t**2 - 7*t. Let c = -105 - -105. Let n(s) = -s**3 + c*s - s**2 + 0*s - 2*s + s. What is 21*n(d) - 3*q(d)?
3*d**3
Let v(d) = 6*d**3 + d**2 - 3*d - 4. Let x(c) = c - 6*c + 0*c**2 - 7 + 2*c**2 + 11*c**3. Let b be 3*3/9*-4. Give b*x(h) + 7*v(h).
-2*h**3 - h**2 - h
Let o(h) = -21*h**3 + h**2 + 8*h + 4. Let c(y) = -12*y**3 + y**2 + 4*y + 2. Determine 5*c(j) - 3*o(j).
3*j**3 + 2*j**2 - 4*j - 2
Let y(k) = -92*k**2 + 3*k + 2. Let c(n) = 2*n**2 + 2*n. Give -4*c(d) + y(d).
-100*d**2 - 5*d + 2
Let i(f) = 7*f + 7. Let g(z) be the second derivative of z**3/2 + 3*z**2/2 + 15*z. Let r = -39 + 30. What is r*g(h) + 4*i(h)?
h + 1
Let x = -11 - -8. Let j(w) = -w**3 - 4*w**2 - 6*w - 2. Let o be j(-2). Let a(b) = 3 + 3 - b**2 - 5 + o. Let m(n) = -2*n**2 + 5. Calculate x*m(s) + 5*a(s).
s**2
Let a(v) = 2*v**3 - 4*v**2 - 8*v + 2. Let y(g) = -3*g**3 + 5*g**2 + 9*g - 3. Determine 5*a(q) + 4*y(q).
-2*q**3 - 4*q - 2
Let m(w) = w**3 - w**2 - w + 1. Let n(x) = -17*x**2 - 2*x + 3. What is 3*m(q) - n(q)?
3*q**3 + 14*q**2 - q
Let u(n) = 2*n**2 + 2*n. Let a(t) = 136 - 71 + t - 65. Give -2*a(z) - u(z).
-2*z**2 - 4*z
Let k(s) be the second derivative of -2*s**3/3 - s**2 + 200*s. Let b(c) = -1. Give -4*b(n) + k(n).
-4*n + 2
Let p(z) = -12*z**2 + 2*z - 5. Let v(a) = -24*a**2 + 3*a - 8. Give -5*p(h) + 3*v(h).
-12*h**2 - h + 1
Let b(k) = -2*k**2 + 3*k + 9. Let a(t) = -t**2 - t + 2. Let y(u) = -11*u**2 + 5*u + 38. Let c(v) = 5*a(v) - y(v). Give -7*b(s) - 2*c(s).
2*s**2 - s - 7
Let l be (-17)/(-4) + 1/(-4) + 3. Let r(k) = -10*k + 22. Let o(c) = -7*c + 15. Give l*o(y) - 5*r(y).
y - 5
Let g(r) = -58*r + 3. Let y(c) = -97*c + 5. Let d(k) = 5*g(k) - 3*y(k). Let h(p) = -12*p. Give -42*d(u) - 3*h(u).
-6*u
Let z(o) = -o**2 + 13*o - 37. Let g be z(9). Let w(t) = t + 1. Let r(v) be the first derivative of -2*v**2 - 4*v - 2. Determine g*r(y) - 2*w(y).
2*y + 2
Let h(i) = -21*i. Let w(q) = 6*q. Suppose -5*b - 15 = 0, -2*o + b + 24 + 27 = 0. Let z be 2*9/o*-24. Calculate z*w(k) - 5*h(k).
-3*k
Let u(r) be the third derivative of 5*r**4/24 + 5*r**3/2 + 18*r**2 + 6. Let y(d) = -d - 3. Calculate 2*u(g) + 11*y(g).
-g - 3
Let v(w) = -3*w**2 + 23*w. Let t(m) = -m**2 - m. Calculate 2*t(i) - v(i).
i**2 - 25*i
Let m(f) = -5*f**2 - 12*f. Let o(v) = v**3 + 6*v**2 + 13*v. Calculate 6*m(y) + 5*o(y).
5*y**3 - 7*y
Let z(x) = x**2 - x - 1. Let g(h) = -6*h**3 + 25*h**2 - 8*h - 11. Let c(p) = 2*p**3 - 8*p**2 + 3*p + 4. Let w(b) = 7*c(b) + 2*g(b). What is -w(y) - 6*z(y)?
-2*y**3 + y
Let f(j) = -j + 3. Let h(l) = 6*l + 8. Determine 4*f(w) + h(w).
2*w + 20
Let r(m) = m**2 - 2*m + 3. Let q(h) = h**2 + 10*h + 4. Let l be q(-10). Let k(j) = -j**2 - 6 + j + 0 + l. Determine -4*k(w) - 3*r(w).
w**2 + 2*w - 1
Let w(y) = y + 2. Let s(d) = 5*d + 15. Determine -4*s(l) + 28*w(l).
8*l - 4
Let m = -5 + 2. Suppose -2*l + y + 3 = 0, 0*y + 19 = l + 3*y. Let w(t) = 5*t**2 - 4*t + 4. Let r(j) = 5*j**2 - 3*j + 3. Give l*r(u) + m*w(u).
5*u**2
Let f(l) = 9*l - 17. Let n(u) = u - 2. Let s(c) = c**2 + 6*c + 6. Let z be s(-3). Let t be 7 + (4 - -5)/z. Let j = t - 55. Give j*n(b) + 6*f(b).
3*b
Let u(c) be the first derivative of 10 - 2*c + 1/2*c**2. Let g(h) = -h + 1. Give 2*g(p) + u(p).
-p
Let k(r) = 15*r**3 - 30*r**2 + 11*r - 13. Let d(q) = -7*q**3 + 15*q**2 - 5*q + 6. What is -13*d(f) - 6*k(f)?
f**3 - 15*f**2 - f
Let i(g) = g + 1. Let b(c) = -4*c**2 - 6*c + 2. Give b(n) - 5*i(n).
-4*n**2 - 11*n - 3
Let j be 56 - (-2 - 1 - -3). Let k = j - 57. Let d(x) = -2*x**3 - 6. Let n(c) = 1. Determine k*d(h) - 8*n(h).
2*h**3 - 2
Let m(i) = -i. Suppose b - 7 = -3. Let l(x) = -8*x. What is b*l(p) - 36*m(p)?
4*p
Suppose -6*d + 14*d - 16 = 0. Let h(x) = 4 - d - x + 3. Let g(s) = -s + 6. Calculate -5*g(z) + 6*h(z).
-z
Let h(x) = x**2 - 4 - 2 + 0*x**2. Let c(b) = -b**2 + 7. Let n = -117 + 65. Let i = n - -46. Give i*c(z) - 7*h(z).
-z**2
Let c(z) = -12*z**3 - 3*z**2 - 3*z - 1. Let p(k) = k**3 + k**2 + k. Let b be (5 - (-19)/(-4))*(-8)/2. What is b*c(m) - 3*p(m)?
9*m**3 + 1
Let m be 14*(91/14 + -6). Let w(u) = 8*u**2 + 4. Let o(y) = 15*y**2 + 7. Calculate m*w(p) - 4*o(p).
-4*p**2
Let h(n) = 780*n**2 - 143*n + 143. Let q(p) = 6*p**2 + 4*p**2 - 13 - 2*p + 6*p**2 - 5*p**2 + 15. Give -2*h(v) + 143*q(v).
13*v**2
Let z(o) = 4*o. Let u be 18/81 - (2/9 + 2). Let g be (u/3)/(((-56)/12)/7). Let j(d) = d. What is g*z(l) - 8*j(l)?
-4*l
Let v(c) = -2*c - 6. Let t = -26 - -68. Let i = -41 + t. Let z(p) = p + 1. Determine i*v(a) + 5*z(a).
3*a - 1
Suppose -n = 5*p - 19 + 4, -5*n + 3*p = 37. Let v(j) = 22*j**3 + 2*j**2 + 12*j + 22. Let l(d) = 9*d**3 + d**2 + 5*d + 9. What is n*v(z) + 12*l(z)?
-2*z**3 + 2*z**2 - 2
Let n(m) = -3*m**3 - 5. Suppose -3*t = -7*t, -3*l + 3*t + 21 = 0. Let b(i) be the first derivative of -3 + 9*i**4 + 0 - 8*i**4 + 7*i. Give l*n(v) + 5*b(v).
-v**3
Let f(m) = 1. Let v be 4/6 - (-7)/21. Let n(b) = -5*b**2 + 2*b - 1. Give v*n(g) + f(g).
-5*g**2 + 2*g
Let q(g) = -497 - 5*g + 498 + 6*g. Let n(k) = 3*k + 1. Suppose -5 = -4*h - h. Suppose 5*t = -4*r - 0 + 1, -2*r + 4*t - 6 = 0. Determine h*n(y) + r*q(y).
2*y
Let t(v) = -4*v - 163*v**2 + 170*v**2 + 3*v**3 - 2*v. Let j(w) = 13*w - 20. Let p be j(2). Let a(h) = 4*h**3 + 8*h**2 - 7*h. What is p*t(q) - 5*a(q)?
-2*q**3 + 2*q**2 - q
Let a(d) = 2*d**2 + 0*d**2 - 4*d**2 - 2*d - 1. Suppose -8*o = 16 - 528. Suppose 9*l = l - o. Let c(b) = 3*b**2 + 3*b + 2. Give l*a(t) - 5*c(t).
t**2 + t - 2
Let j(v) = -2*v**2 - 2. Let l(x) = -7*x + 9*x + 10 - x**3 - 2*x + 11*x**2. Calculate -11*j(m) - 2*l(m).
2*m**3 + 2
Let k(i) = -436 + 433 + 0*i - i. Let q(r) = r. Calculate -k(n) - 3*q(n).
-2*n + 3
Let p(y) = 15*y**3 + 8*y**2 - 6. Let v(x) = 44*x**3 + 23*x**2 - 17. Let k = 934 + -928. Calculate k*v(u) - 17*p(u).
9*u**3 + 2*u**2
Let w(r) = 4*r + 3*r**2 - 5*r**2 + r**2 - 1. Let p(g) = -g**2 + 5*g - 2. Let x = 50 - 30. Suppose -15*t + 10*t - x = 0. Give t*w(b) + 3*p(b).
b**2 - b - 2
Let j(b) = -5*b**3 + 29*b**2 - 10*b + 6. Let h(m) = -7*m**3 + 44*m**2 - 16*m + 9. Calculate -5*h(u) + 8*j(u).
-5*u**3 + 12*u**2 + 3
Let i(h) = -9*h - 7 - 2 + 17*h**2 + 0*h. Let r(u) = -4*u**2 + 2*u + 2. Suppose 0*k - k = 4. Suppose 248 + 454 = -39*s. Calculate k*i(d) + s*r(d).
4*d**2
Let t(r) = -r**3 + 2*r**2 - 8*r + 23. Let v(b) = b**2 - 3*b + 8. What is -3*t(m) + 8*v(m)?
3*m**3 + 2*m**2 - 5
Let k(f) = -f**2. Let g(u) be the second derivative of -u**4/4 - u**3/6 - u**2/2 - 47*u. Calculate 3*g(i) - 8*k(i).
-i**2 - 3*i - 3
Let m(h) = -29*h - 28. Let v(s) = -2*s + 3. Give m(d) + 6*v(d).
-41*d - 10
Let n(s) be the third derivative of -s**6/40 - s**4/6 - 123*s**2. Let g(i) = -9*i**3 - 11*i. What is -6*g(p) + 17*n(p)?
3*p**3 - 2*p
Let h(r) = 88*r + 2. Let v(z) = -2*z + 1. Determine h(p) - 4*v(p).
96*p - 2
Let a = 12 - 7. Let z = 10 - a. Let h(r) = 9*r**2 + 2 - 1 - 8*r**2 + z*r. Let g(j) = j + 1. Give 3*g(m) - h(m).
-m**2 - 2*m + 2
Let o(u) = -1. Let s(q) = 2. Let k(t) = 3*o(t) + s(t). Let r(l) = -l**2 + 2*l - 6. Let i(v) = -1 | {
"pile_set_name": "DM Mathematics"
} |
-16 - -19. Let x(f) be the third derivative of -1/12*f**4 - 2*f**2 + 0*f + 0 + 1/3*f**p. Find the first derivative of x(y) wrt y.
-2
Let b(u) be the second derivative of -u**8/48 - 7*u**5/60 + 5*u**2/2 - 2*u. Let k(n) be the first derivative of b(n). Find the third derivative of k(a) wrt a.
-420*a**2
Let u(v) be the first derivative of v**4 + v**3/3 + 5. Find the third derivative of u(m) wrt m.
24
Let p be (-66)/(-14) - 6/(-21). Find the second derivative of 2*i**4 + 5*i + i + p*i - 4*i wrt i.
24*i**2
Find the first derivative of -11 + 2*k - 5*k + 2*k + 19*k wrt k.
18
Suppose -12 = -2*o - 2*o. What is the second derivative of 3*f - 4*f + 45*f**3 - 38*f**o wrt f?
42*f
What is the first derivative of -2 - 3 + 28*x**4 - 21*x**4 wrt x?
28*x**3
Find the first derivative of g**3 + g**3 + 0 - 4 - 1 wrt g.
6*g**2
Suppose 0 = -3*u - 7 - 8, -5*u = -5*j + 265. Let m be j/18 + (-4)/6. Find the third derivative of -3*b**5 + 0*b**5 + 3*b**2 - 5*b**m wrt b.
-180*b**2
Let n(k) = k**2 - 10*k + 11. Let i be n(9). Find the third derivative of f**6 - 6*f**6 + f**6 - 2*f**i wrt f.
-480*f**3
Let a(z) = z + 9. Let f be a(-5). What is the second derivative of g - 2*g**4 + f*g + 0*g**4 - 2*g wrt g?
-24*g**2
Let v(r) be the third derivative of -r**8/20160 - r**6/720 - r**5/60 + 4*r**2. Let h(x) be the third derivative of v(x). Differentiate h(y) with respect to y.
-2*y
Suppose -o - 1 = -3. Let k(v) = v**2 - v + 1. Let g(t) = t**3 - 8*t**2 + 7*t - 7. Let r(y) = o*g(y) + 14*k(y). Find the third derivative of r(z) wrt z.
12
Let q be (-1402)/(-9) + 10/45. What is the third derivative of q - 156 + 8*o**6 + o**2 wrt o?
960*o**3
Let i(x) be the third derivative of -x**8/560 - x**4/24 + x**3/2 - 2*x**2. Let a(h) be the first derivative of i(h). Find the first derivative of a(g) wrt g.
-12*g**3
Let r(j) = j**3 + j**2 - j. Let k(b) = 22*b**4 - 2*b**3 - 2*b**2 - 6*b. Let s(l) = -k(l) - 2*r(l). What is the second derivative of s(g) wrt g?
-264*g**2
Suppose 0*t - 4*t = -20. Let s(a) = 11*a**2 + 5*a - 8. Let w(h) = 16*h**2 + 7*h - 12. Let p(k) = t*w(k) - 7*s(k). Differentiate p(d) wrt d.
6*d
What is the third derivative of 3 + 5*x**2 + 4*x**3 + x**2 - 3 wrt x?
24
Let g(u) be the first derivative of u**7/42 - u**3/6 - u + 1. Let l(a) be the first derivative of g(a). Find the second derivative of l(s) wrt s.
20*s**3
Let i be -3*(-5)/3 - 1. What is the third derivative of -5*q**3 + 3 + 3*q**2 - 7 + i wrt q?
-30
Find the first derivative of -62*d**2 - 56 - 62*d**2 - 14 + 93*d**2 wrt d.
-62*d
Let v(x) be the first derivative of 4*x**2 - 7 + 5/3*x**3 + 0*x. What is the second derivative of v(m) wrt m?
10
Let j(l) be the first derivative of -3*l**4/2 + 4*l + 8. Find the first derivative of j(c) wrt c.
-18*c**2
Differentiate -25 - 4*l**3 + 23 + 2*l - 2*l wrt l.
-12*l**2
Let v(s) = s - 3*s + 2*s**2 + 6*s. Let x(j) = -j**3 - 2*j**2 - 3*j. Let f(u) = -3*v(u) - 4*x(u). What is the third derivative of f(g) wrt g?
24
Let m = 2 + 0. Let f = m - 0. Find the second derivative of -f*b - 19*b**4 + 16*b**4 + 4*b wrt b.
-36*b**2
Let m(i) = -28*i**3 - 5*i**2 - 5*i - 33. Let f(u) = 42*u**3 + 7*u**2 + 7*u + 50. Let v(x) = -5*f(x) - 7*m(x). What is the derivative of v(g) wrt g?
-42*g**2
Let v be (1 - 0)*-1 - -14. Suppose -v = -4*c - 5. Differentiate 4*i**2 + 0 - 6*i**c + 1 wrt i.
-4*i
What is the derivative of -12*u**4 + 5 - 3 + 11 wrt u?
-48*u**3
Differentiate 36 + 58*w + 2*w - 7*w + 34 with respect to w.
53
Differentiate 0*q**2 - 2*q**2 - 4*q**2 + 2 wrt q.
-12*q
Let y(t) be the third derivative of t**8/112 + 11*t**5/60 + 8*t**2. What is the third derivative of y(g) wrt g?
180*g**2
Let v(w) = w**3 + 5*w**2 - 6*w + 2. Let i be v(-6). Let m(c) = c + 10. Let b be m(-7). What is the first derivative of 2 + 3*f - b*f + i*f wrt f?
2
Suppose -5*o + 10 = -0*o. Find the first derivative of -3 - 3 - 9*s**o - 3 + 6 wrt s.
-18*s
Suppose -3*k + 8 = k. Find the third derivative of 0*y**2 + 4*y**3 + y**k - 4*y**2 wrt y.
24
Suppose 0 = 3*x - 5*t + 40, -4*t + 26 = -0*x - 2*x. Let q be -2 + x*2/(-3). Find the third derivative of -q - 2*h**3 + 8 + h**2 wrt h.
-12
Let a(q) = -31*q**2 - 46*q. Let b(x) = -x. Let c(o) = a(o) - 3*b(o). Find the second derivative of c(h) wrt h.
-62
Let h(m) be the third derivative of 5*m**4/8 + 16*m**3/3 - m**2 + 17*m. What is the derivative of h(s) wrt s?
15
Let m(f) = 2*f**2 + 2*f. Let u(l) be the first derivative of -l**3 - 5*l**2/2 + l + 4. Let q(b) = -5*m(b) - 2*u(b). Differentiate q(t) wrt t.
-8*t
Let u(t) = -21*t - 17. Let i(f) = 7*f + 6. Let v(d) = -8*i(d) - 3*u(d). Find the first derivative of v(z) wrt z.
7
Let m(a) be the first derivative of -a**6/360 + a**5/20 + a**3/3 - 5. Let r(o) be the third derivative of m(o). Find the second derivative of r(z) wrt z.
-2
Let q(x) be the third derivative of x**7/840 + x**4/8 - x**3/2 + 4*x**2. Let t(v) be the first derivative of q(v). Find the first derivative of t(d) wrt d.
3*d**2
Let q be -1*(3 + 10/(-3)). Let s(a) be the second derivative of 0 + 1/2*a**2 - 2*a - q*a**3. What is the first derivative of s(v) wrt v?
-2
Let f(c) = -c**4 - c**2 + c. Let m(a) = 2*a**4 - 3*a**2 - 30*a. Let q(t) = 2*f(t) + 2*m(t). Find the second derivative of q(n) wrt n.
24*n**2 - 16
Let t(r) = 117*r - 96. Let u(f) = -58*f + 48. Let z(w) = -6*t(w) - 13*u(w). Differentiate z(o) with respect to o.
52
Let f(l) = -15*l**4 - l**3 - 30*l**2 - 1. Let q(u) = -u**4 + u**3 - u**2 + 1. Let w(i) = -f(i) - q(i). Find the third derivative of w(c) wrt c.
384*c
Let x(s) be the third derivative of s**10/50400 - s**6/144 - s**5/10 - 2*s**2. Let m(g) be the third derivative of x(g). Differentiate m(r) wrt r.
12*r**3
Find the second derivative of 14*t + 3*t**3 + 2*t**3 + 13*t**3 + 2*t wrt t.
108*t
Suppose 3 = -5*m + 23. Suppose 2*s + 5*p + 10 = 0, -m*s + p - 2 = -4. Find the third derivative of s*t**3 - 3*t**3 + t**2 + t**3 wrt t.
-12
Let y be ((-16)/(-40))/((-2)/(-20)). What is the second derivative of 9 - 3*l**y + l - 9 wrt l?
-36*l**2
Let z = 0 - -1. Suppose 4*x + z = 13. Find the second derivative of -2*n + 0*n + 2*n**3 - x*n**3 wrt n.
-6*n
Let p(d) be the second derivative of d**10/1680 + d**6/180 + d**3 - 2*d. Let b(r) be the second derivative of p(r). What is the third derivative of b(m) wrt m?
360*m**3
Let o be -3 - 0*3/(-6). Let j = 1 - o. Find the first derivative of 3*c**j - 4*c + 4*c + 1 wrt c.
12*c**3
Suppose 0*i - 2*i + 12 = 0. Find the third derivative of -3*x**5 + i*x**2 - x**2 - x**5 wrt x.
-240*x**2
Suppose 0 = -2*k + 19 + 1. Let z(h) = -h**3 + 10*h**2 + h - 7. Let a be z(k). What is the second derivative of a*l + 14 - 14 + 3*l**3 wrt l?
18*l
Let d be 2 - (1 + -1 + -1). Find the third derivative of -z**6 + z**2 + 2*z**2 + z**2 - d*z**2 wrt z.
-120*z**3
Let l(b) be the first derivative of 0*b**4 + 0*b**3 - b**2 - 4 + 0*b**5 + 0*b - 5/6*b**6. Find the second derivative of l(p) wrt p.
-100*p**3
Find the first derivative of -36*o**2 - 9*o**3 + 2 + 36*o**2 wrt o.
-27*o**2
Let z(l) = l**5 - l**4 + l**3 + l. Let a(b) = -15*b**5 - 3*b**4 + 3*b**3 + 28*b. Let s(t) = -a(t) + 3*z(t). Find the second derivative of s(m) wrt m.
360*m**3
Let v(d) = 4*d + 11. Let j(a) = -a. Let k be (-2)/2*-1 + -2. Let m(f) = k*v(f) - 6*j(f). What is the derivative of m(s) wrt s?
2
Let m(r) = r + 10. Suppose 0 = 2*u - 10, 3*u - 37 = 4*y + 2*u. Let v be m(y). What is the third derivative of -x**3 + 0*x**2 - 2*x**3 + x**v + x**2 wrt x?
-18
Let l = 48 - 46. Let p = 12 + -8. What is the first derivative of -p + 0 + 7 - l*w**4 wrt w?
-8*w**3
Suppose 6*z + 3 = 9*z. Differentiate -z + 1 - 2*m**2 - 3*m**2 - 4 wrt m.
-10*m
Let j be 4*-10*(-1)/8. Find the third derivative of 5*c**5 + 6*c**2 - c**j + 3*c - 3*c wrt c.
240*c**2
Suppose 5*q = -o + 2430, q - 35 = 2*o + 451. Find the third derivative of -5*v**2 - 486*v**3 + q*v**3 - 6*v**4 wrt v.
-144*v
Let h(d) = -6*d**5 + 15*d**2 + 5. Let k(i) = -7*i**5 + 14*i**2 + 4. Let j(p) = 4*h(p) - 5*k(p). What is the third derivative of j(s) wrt s?
660*s**2
Let t(w) be the third derivative of 8*w**7/105 + w**4/4 - 18*w**2. What is the second derivative of t(l) wrt l?
192*l**2
Let q(z) = -2*z + 1 + 3*z + 1. Let m be q(0). Find the second derivative of w + 2*w**4 + m*w - 2*w wrt w.
24*w**2
Differentiate 4*l**2 + 2 + 714*l - 714*l wrt l.
8*l
Let a(r) = -3*r**4 - 4*r + 6. Let | {
"pile_set_name": "DM Mathematics"
} |
e 3.
21200
Convert 10110010110 (base 2) to base 4.
112112
What is -226c (base 13) in base 4?
-1023112
-326 (base 8) to base 11
-185
What is -110101011011 (base 2) in base 3?
-11200122
-153ad (base 14) to base 2
-1100111010001101
What is 620 (base 13) in base 8?
2020
4055 (base 11) to base 5
133014
What is -43c1 (base 13) in base 14?
-3632
What is -773 (base 11) in base 13?
-564
What is 30424 (base 7) in base 9?
11151
What is 51cc (base 15) in base 11?
11aa0
Convert -85 (base 15) to base 16.
-7d
81075 (base 9) to base 3
2201002112
Convert -3984 (base 11) to base 3.
-21002122
-f7e (base 16) to base 15
-1296
362412 (base 7) to base 14
19d42
Convert 304 (base 7) to base 16.
97
Convert -1110012221 (base 3) to base 6.
-340211
-22520 (base 6) to base 15
-e46
Convert -6604 (base 11) to base 3.
-102221211
Convert 2115 (base 10) to base 3.
2220100
What is 1111111111 (base 2) in base 11?
850
Convert -2450 (base 8) to base 10.
-1320
15206 (base 7) to base 5
113340
-12055 (base 6) to base 7
-5066
Convert -210233 (base 5) to base 10.
-6943
What is -34 (base 11) in base 14?
-29
What is -40a8 (base 11) in base 13?
-2628
Convert -4536 (base 9) to base 5.
-101404
Convert -a187 (base 12) to base 5.
-1030102
Convert 7765 (base 8) to base 6.
30525
Convert -1245 (base 6) to base 14.
-189
Convert -4680 (base 11) to base 3.
-22102100
What is -624 (base 7) in base 2?
-100111000
Convert -142 (base 7) to base 6.
-211
Convert -10511 (base 7) to base 12.
-1652
Convert 2431 (base 7) to base 5.
12104
23548 (base 9) to base 4
3312032
-2d47 (base 15) to base 8
-23016
-454 (base 13) to base 9
-1017
What is 21104 (base 5) in base 11?
1067
12dc (base 15) to base 8
7700
3c4 (base 13) to base 12
477
Convert 124 (base 12) to base 9.
211
What is 2220002 (base 3) in base 7?
6101
What is -7ac8 (base 15) in base 14?
-96d9
What is -31324 (base 6) in base 13?
-1c03
What is -1768 (base 15) in base 3?
-20220222
Convert -55 (base 6) to base 2.
-100011
What is -1221011 (base 3) in base 11?
-1070
1204420 (base 6) to base 15
13b03
What is -33010 (base 5) in base 12?
-137b
-1100 (base 6) to base 12
-190
102111 (base 3) to base 4
10312
323 (base 9) to base 15
129
8287 (base 10) to base 3
102100221
Convert -628 (base 11) to base 5.
-11011
215023 (base 8) to base 5
4302321
66 (base 10) to base 13
51
What is -1000101111 (base 2) in base 15?
-274
4187 (base 12) to base 16
1bf7
What is -44362 (base 7) in base 14?
-40d9
Convert -1899 (base 15) to base 9.
-7260
-101111110010101 (base 2) to base 14
-8cbb
What is -195 (base 10) in base 15?
-d0
33030 (base 4) to base 13
59a
-df71 (base 16) to base 4
-31331301
Convert -24b (base 14) to base 16.
-1cb
What is 577 (base 12) in base 11?
678
101011002 (base 3) to base 4
1303220
-463d (base 15) to base 5
-434113
Convert -202121222 (base 3) to base 13.
-6aca
223111 (base 4) to base 11
20a1
-11000101011 (base 2) to base 14
-80b
23232 (base 5) to base 14
88c
Convert 7980 (base 12) to base 8.
32260
What is 587 (base 9) in base 6?
2124
33112 (base 4) to base 16
3d6
Convert -8772 (base 14) to base 5.
-1222144
Convert 12001210 (base 3) to base 7.
13524
Convert 42022 (base 5) to base 4.
223022
What is 20022122 (base 3) in base 5?
121412
Convert 133231 (base 7) to base 15.
76c4
Convert -10011202 (base 3) to base 8.
-4413
2a35 (base 13) to base 14
233a
What is 355 (base 11) in base 4?
12213
Convert -101212011 (base 3) to base 10.
-7915
-8679 (base 10) to base 5
-234204
6455 (base 7) to base 4
203312
Convert -1222221 (base 3) to base 12.
-a14
-39c1 (base 13) to base 2
-10000001001101
What is -511453 (base 6) in base 2?
-1001111001111001
What is -b28 (base 12) in base 6?
-11252
Convert 1120210 (base 5) to base 4.
10321113
Convert -10001220 (base 3) to base 14.
-b5c
-3702 (base 16) to base 12
-8196
What is 220222000 (base 3) in base 14?
68bc
89b9 (base 13) to base 15
5a84
24022 (base 12) to base 3
2110101222
What is -103330 (base 4) in base 8?
-2374
Convert 2112 (base 7) to base 2.
1011101000
Convert 2152 (base 7) to base 2.
1100000100
Convert 12404 (base 5) to base 4.
33103
21211 (base 4) to base 10
613
Convert -5421 (base 9) to base 5.
-111423
b32 (base 13) to base 8
3554
Convert -2402 (base 5) to base 14.
-1b2
What is -4530 (base 6) in base 5?
-13222
Convert -13d4 (base 15) to base 5.
-113444
What is 43a2 (base 14) in base 13?
5436
-69125 (base 10) to base 6
-1252005
Convert -75588 (base 9) to base 8.
-141611
10001011011 (base 2) to base 8
2133
Convert -5 (base 13) to base 7.
-5
13000313 (base 4) to base 2
111000000110111
3113111 (base 5) to base 8
143527
Convert -ad (base 16) to base 5.
-1143
What is -393 (base 13) in base 2?
-1001110011
What is 1ab (base 12) in base 15?
135
What is -171 (base 8) in base 7?
-232
Convert 41301 (base 6) to base 13.
267a
Convert -3451 (base 7) to base 8.
-2355
Convert ab4 (base 13) to base 15.
827
10101110 (base 2) to base 10
174
4da (base 14) to base 5
12401
2b97 (base 12) to base 10
5155
What is -690b (base 12) in base 7?
-46016
110021221 (base 3) to base 9
13257
1000110111 (base 2) to base 5
4232
What is -21210022 (base 3) in base 5?
-140203
-4637 (base 10) to base 9
-6322
Convert 230223 (base 5) to base 6.
101524
Convert 31200 (base 4) to base 15.
3c9
-2020 (base 3) to base 15
-40
-438 (base 14) to base 7
-2301
What is 22100 (base 8) in base 13?
42bb
What is -2298 (base 12) in base 16?
-f14
Convert -2637 (base 11) to base 2.
-110101100100
1104112 (base 5) to base 6
225134
What is -4962 (base 16) in base 6?
-222550
-4350 (base 13) to base 6
-111200
Convert -71 (base 10) to base 16.
-47
Convert 1d11 (base 15) to base 10.
6316
19062 (base 10) to base 2
100101001110110
What is 2806 (base 14) in base 9?
10616
What is -12114 (base 9) in base 4?
-1332301
122001 (base 3) to base 2
111001100
Convert -111111000000000 (base 2) to base 8.
-77000
Convert -1100220211 (base 3) to base 13.
-c334
Convert 110010100011001 (base 2) to base 8.
62431
-9be9 (base 15) to base 13
-1208a
-21a7 (base 14) to base 5
-141311
5443 (base 7) to base 11
1506
What is -23441 (base 6) in base 11?
-261a
-246e (base 15) to base 2
-1111001001010
What is -11011021 (base 3) in base 6?
-22011
Convert 5563 (base 15) to base 5.
1034333
b (base 14) to base 2
1011
1ac (base 13) to base 9
375
3b32 (base 14) to base 10
10432
134a (base 13) to base 10
2766
Convert -7075 (base 10) to base 16.
-1ba3
Convert 1293d (base 14) to base 7.
250206
-161410 (base 7) to base 12
-16467
What is 29279 (base 11) in base 2?
1010001001110101
What is 363 (base 7) in base 8?
300
519 (base 15) to base 11
955
Convert 111320 (base 4) to base 5.
21100
112021 (base 3) to base 11
320
What is -c27a (base 13) in base 11?
-19157
Convert -1100010101010000 (base 2) to base 7.
-300160
Convert 1213331 (base 4) to base 13.
304a
What is -17799 (base 11) in base 8?
-60521
Convert 709 (base 16) to base 2.
11100001001
Convert -2200110 (base 3) to base 14.
-9da
Convert 4540 (base 9) to base 2.
110100011101
Convert 1510 (base 14) to base 15.
1193
11101101 (base 2) to base 15
10c
Convert -480 (base 13) to base 3.
-1001220
What is -2a43 (base 12) in base 8?
-11523
What is 4134 (base 6) in base 8?
1632
Convert -12551 (base 6) to base 7.
-5440
Convert 32245 (base 6) to base 9.
6052
-b87 (base 14) to base 3
-10010021
-344 (base 5) to base 11
-90
What is 216 (base 14) in base 4?
12130
-2740 (base 8) to base 4
-113200
Convert 1001111100 (base 2) to base 13.
39c
Convert -1652 (base 8) to base 2.
-1110101010
11 (base 14) to base 8
17
Convert 10122 (base 5) to base 7.
1634
-68907 (base 10) to base 13
-25497
What is 112123 (base 4) in base 16?
59b
-668 (base 15) to base 11
-10a7
-1010100000 (base 2) to base 5
-10142
Convert 11100 (base 4) to base 13.
1cb
Convert -3a0a (base 12) to base 6.
-50414
Convert -21525 (base 8) to base 5.
-242140
Convert 33144 (base 5) to base 13.
107b
What is -301604 (base 7) in base 12?
-25672
Convert -225345 (base 6) to base 11.
-13601
What is 135101 (base 6) in base 13?
5a82
-1111110 (base 2) to base 11
-105
What is -221320 (base 4) in base 5?
-41210
What is -1055 (base 14) in base 10?
-2819
What is -3020 (base 5) in base 3?
-112021
What is 315 (base 13) in base 8?
1015
What is 6b75 (base 12) in base 14?
4561
Convert -2c6 (base 16) to base 15.
-325
Convert 10000111011111 (base 2) to base 13.
3c40
65302 | {
"pile_set_name": "DM Mathematics"
} |
p). Is x(h) a prime number?
False
Is 124/(-62) + 3*8373 composite?
False
Suppose 11 = 7*u - 3. Suppose 3*c - 3*w = 1944, 652 = -c + u*c + 3*w. Is c composite?
True
Suppose -7*b + 5*b + 70047 = f, 4*b - 140097 = -5*f. Is b composite?
False
Let c(h) be the first derivative of 7*h**3/3 - 13*h + 2. Let p be c(6). Suppose -4*t + p = -405. Is t prime?
False
Suppose -5*r = -10, -6*i + 2*i - 2*r = -16820. Suppose 2*y + 2*b = i, -3*y + 5*b = 4*b - 6306. Is y prime?
False
Let j(z) = 4*z**3 + 2*z**2 + z - 2. Let v be j(1). Suppose -5*u - 10115 = -v*a, -a + 8090 = 3*a - 3*u. Is a prime?
False
Suppose 4*i + 8*q = 6*q + 4636, 3479 = 3*i + 2*q. Suppose -2*d + 5*z = -3*d + 354, -4*z = -3*d + i. Is d composite?
False
Suppose -2*t + t = -1, -5*y - 3994 = t. Is y/51*(-138)/2 prime?
False
Let a(y) = y + 1. Let n(h) = 5*h**2 + 4*h - 4. Let f = 4 + 1. Let z(j) = f*a(j) + n(j). Is z(-6) a composite number?
False
Suppose -8*u + 78351 - 19015 = 0. Is u prime?
True
Suppose -5*q + s - 71 - 263 = 0, 5*s = -4*q - 244. Let n = q - -235. Is n prime?
False
Suppose -7 = -5*a + 5*b + 18, -4*b - 20 = 2*a. Is -55*(a + 2)/(-2) prime?
False
Is 116920/6 + 0 - (-43)/129 a composite number?
True
Let j = -97 - -537. Suppose 0 = m + 2*m - 3*g - 651, 5*g = 2*m - j. Is m a composite number?
True
Let y be (-4)/(-16) - (-50)/(-8). Is 2782/5 - y/10 a composite number?
False
Let v be -5*(-18)/(-9)*1/(-2). Suppose v*d = 4*r + 8831, 5*d - 12002 = r - 3183. Is d composite?
True
Let t(a) = -15083*a + 74. Is t(-1) composite?
True
Suppose 5*o = 2*o - 90. Let x = o - -32. Suppose -k = 4*d - 6*k - 1208, -x*k + 8 = 0. Is d composite?
False
Let o = -181 + 564. Is o composite?
False
Let p(z) = 9*z - 45. Let f be p(6). Suppose -61580 = -11*x - f*x. Is x a composite number?
False
Is 14/3*(-255963)/(-82) - 1 composite?
True
Let t = 16 + -7. Let a be -1*9*(-8 + t). Let v(o) = 7*o**2 + o - 1. Is v(a) a prime number?
True
Suppose -19843 = -12*u + 28265. Is u composite?
True
Suppose -f + f = 2*f. Suppose -3*t + 4*g + 951 = f, -g - 634 = -2*t + 4*g. Is t composite?
False
Suppose -15 = -4*a - f, -a + 0*f = 4*f - 15. Suppose -m = -o - 11, 4*m - 40 = -0*m + a*o. Suppose -m*y = -4*y - 1191. Is y composite?
False
Is (11572 - 14)/(5 + -3) a composite number?
False
Suppose -2*q - 4 = -o - 0*q, -o + 5*q = 2. Let c = o + -8. Suppose -5*s = 25, c = 3*r + 2*s - 305 + 48. Is r prime?
True
Let x = 233 + 1052. Let d = 2846 - x. Is d a composite number?
True
Let v(z) = 16 + 27*z + 5*z - 3 + 4*z. Suppose 2*b - 4*b + 22 = 0. Is v(b) a composite number?
False
Suppose 2064 + 3000 = -5*j - l, 0 = -2*j - l - 2025. Let r = -334 - j. Is r composite?
True
Suppose -2*m + 2738 = -1388. Is m prime?
True
Let z = 26 - 24. Let a be (-7)/((-21)/(-444))*z. Let s = 669 + a. Is s a prime number?
True
Let a be 46 + -3 - (1 + 0). Suppose h = 3*j + 16, 5*h + 2*j - 64 = 3*h. Let y = a - h. Is y a prime number?
False
Suppose -3099 = -s - 2*l, 0 = -5*s + 4*l + 15966 - 401. Is s a composite number?
False
Let m(r) = 11*r**3 - 3*r**2 + 7*r + 1. Let x(n) = -10*n**3 + 3*n**2 - 7*n. Let z(j) = -5*m(j) - 6*x(j). Is z(6) a composite number?
False
Suppose -a = -h - 32598, -97*h = -99*h + 10. Is a a prime number?
True
Let p(v) be the second derivative of v**6/60 - v**5/24 + v**4/6 - 5*v. Let y(u) be the third derivative of p(u). Is y(7) composite?
False
Let d = 1039 - 428. Is d a composite number?
True
Suppose -21*z + 48 = -15*z. Is 10884/z*(-6)/(-9) composite?
False
Let z(f) = 37*f**2 + 3*f + 5. Let p be z(-4). Let t = p + -245. Suppose 2*w - v = 725, w + v = 6*v + t. Is w prime?
False
Let p be (-3 + 9)/(4/(-190)). Let r = 918 + p. Is r + -1 + (1 - -2) composite?
True
Let c(h) be the first derivative of h**3/3 + 9*h**2/2 + 12*h - 8. Let u be c(-8). Suppose -u*q = -q - 4*l - 889, 2*q - 562 = -5*l. Is q a composite number?
True
Let c = 228 - 231. Let s(n) = -n**2 + 7*n - 4. Let p be s(5). Is (2 + -1384)*c/p composite?
False
Is (-3057897)/(-146) + 10/4 prime?
True
Suppose -35*c = -2762 - 1368. Is c composite?
True
Let w = 2115 + -1111. Suppose -w = -8*t + 3660. Is t a prime number?
False
Let g = 11392 - 6766. Suppose 4*r - g + 50 = -4*q, -r = 3*q - 1150. Is r prime?
False
Let j(o) = -33*o**3 - o**2 - 13*o + 7. Is j(-4) composite?
True
Suppose -2*q = h + 3*q - 27, -2*q + 10 = 0. Suppose 2*a - 5*v - 2193 = -h*a, 2*a - v = 1095. Is a a composite number?
False
Suppose 454426 = -2610*c + 2624*c. Is c composite?
True
Is (6/(-9))/(-7 + (-512644)/(-73236)) prime?
False
Suppose 566603 = 56*s + 118099. Is s composite?
False
Suppose 5*j = -f - 1226, 3*f - 69 + 549 = -2*j. Let s = j - -545. Is s a composite number?
True
Let m(y) = 178*y - 29. Let o be m(14). Suppose 11*c - 14*c = -o. Is c composite?
False
Suppose 0*a + a = 3*y + 8, -4*a + 53 = -5*y. Let n = -14 + a. Suppose -n*l + 402 = 3*j, 259 = 3*j - j - l. Is j composite?
False
Let j(n) = -316*n**2 + n - 8. Let s be j(17). Is (s/(-20))/7*4 a composite number?
False
Suppose 0 = m - 6*h + 9*h - 2923, 0 = -5*h + 10. Is m a composite number?
False
Suppose 8 = 4*s + 4. Let w(u) = -289*u + 2. Let t(q) = -q - 1. Let d(z) = -3*t(z) - w(z). Is d(s) a prime number?
True
Let t(n) = 4*n**2 + 65*n + 11. Is t(12) a composite number?
False
Let j be (-1)/((-1)/(-4)*-1). Suppose 0 = j*d - 3*d. Suppose -35 = -d*m - m. Is m composite?
True
Let j(c) = 253*c**2 - 26*c + 64. Is j(-13) composite?
False
Let c be -163*1/((-3)/12). Suppose -c = 2*a - 4346. Is a a prime number?
True
Suppose -2*p - 90 = -3*p. Is 236/(-6)*p/(-12) prime?
False
Suppose -3*s = 0, 9*s - 5*s = n - 8. Let w(h) = 696*h + 1. Let l be w(2). Suppose a - n*a = -l. Is a a composite number?
False
Let c(i) = -i**2 + 19*i - 20. Let m be c(14). Is m + (-1 + -2 - -6) composite?
False
Let y = 215 - -116. Is y composite?
False
Let v(l) = -l**3 - l**2 + 3*l - 1. Let w be v(-3). Is (-6481)/(-3) - (w/6 - 2) composite?
False
Let t be 489/(-3)*-1 + 0. Let k be 0/(-7) + 2*t. Suppose -2*r + k = 8. Is r prime?
False
Suppose -x = -2*v - 11673, 5*x + 2*v - 12972 = 45381. Is x a composite number?
True
Suppose -4*s + s = 9, -h = -5*s - 723. Suppose 3*g + g = h. Suppose 0 = -c - 3*q + 56, -4*c + q + 34 = -g. Is c prime?
True
Let r(j) be the third derivative of -11*j**4/8 - 2*j**3/3 - 3*j**2. Let o(h) = 65*h + 9. Let v(i) = 3*o(i) + 5*r(i). Is v(3) a prime number?
True
Let h(j) = -j + 14. Let c be h(6). Suppose 0 = -4*z + c*z - 1676. Is z a prime number?
True
Let d(s) = 3103*s + 6. Is d(1) a composite number?
False
Is 8 + (-1)/((-6)/117450) composite?
False
Suppose -9*b + 12308 = -5*b. Suppose 0 = 4*v - 1527 - b. Is v composite?
False
Let r(c) = c**2. Let x(i) = 3*i**2 - 12*i + 11. Let b(z) = -2*r(z) + x(z). Let j be b(13). Is j/84 + (-3118)/(-14) a prime number?
True
Suppose -2*m - 21 = -1287. Is 4/(3 - -1) + -3 + m composite?
False
Let y be (-4809)/(-6) + (-12)/8. Suppose -5845 - y = -5*u. Suppose -c = 2*c - u. Is c a prime number?
True
Suppose -3*b = 2*l - 19, 0 = 3*b + 5*l - 23 - 2. Suppose -4366 = -b*y - 801. Is y composite?
True
Suppose 282*q = 285*q + 18. Is 683*6*(-1)/q a prime number?
True
Suppose -4*d + 3183 = -7*d. Let a = -414 - d. Is a a composite number?
False
Let t(y) = 107*y**3 + 2*y**2 - y. Let v be t(1). Let u be 2 + (-2 - -3) + v. Suppose -2*z = -493 + u. Is z a prime number?
True
Let d(o) = o**2 - 3*o + 14. Let s be d(3). Is (s - 1)/((-3)/(-321)) prime?
False
Let k(w) be the second derivative of -1/20*w**5 + 7/6*w**4 + 0 - 5/6*w**3 + w**2 - 4*w. Is k(13) composite?
True
Let h(q) = 22*q**3 + q**2 + 4*q + 5. Let s be h(5). Suppose -4*w + 0*w = -s. Suppose 2*n = 4*v - 1234, 3*v - 4*n - w = 233. Is v a composite number?
False
Let y be -5*1/((-5)/(-178)). Let t = -81 - y. Is t a prime number?
True
Suppose 5*j = -3*b - 72, 4*b = -5*j + 3*j - 26. Let p(c) = 35*c**2 + 24*c - 16. Is p(j) a prime number?
True
Let m(p) = p + 1. Let k(v) = -30*v**2 - 5*v - 6. Let l(o) = -k(o) - 3*m(o). Suppose 0 = 4*t - j + 15, -t = -4*j + 14 + 1. Is l(t) a prime number?
False
Let r(l) = -2*l**3 - 3*l**2 + 4*l - 2. Let i be r(-4). Suppose 3*d + 3*g + 2 = 8, -30 = 5*d - 5*g. Is i/10*(7 + d) a composite number?
False
Let u(x) = 224*x**2 + 9*x + 32. Is u(-3) prime?
False
Let v = -11 + 16. Is (-4)/30*-3 - (-3363)/v a composite number?
False
Let d(r) = 909*r - 32. Is d(1) prime?
True
Let d(g) = -g**3 - 7* | {
"pile_set_name": "DM Mathematics"
} |
and -71/9.
1062
What is the common denominator of -40/9 and -55/6?
18
Calculate the least common multiple of 190 and 1170.
22230
What is the common denominator of -57/55 and -54/25?
275
Find the common denominator of -79/174 and -29/18.
522
What is the least common multiple of 3953 and 531?
35577
Calculate the common denominator of -39/5504 and -101/48.
16512
What is the least common multiple of 20 and 60?
60
Calculate the common denominator of 1/15 and 62/27.
135
Calculate the common denominator of -29/514 and 71/9.
4626
What is the common denominator of 103/196 and 73/40?
1960
Calculate the lowest common multiple of 27 and 36.
108
Calculate the common denominator of 113/20 and -173/150.
300
Calculate the least common multiple of 1676 and 44.
18436
Calculate the common denominator of -73/456 and -29/8.
456
What is the least common multiple of 5014 and 218?
5014
Find the common denominator of 9/4 and 101/180.
180
Calculate the lowest common multiple of 144 and 3762.
30096
What is the least common multiple of 6 and 129?
258
Find the common denominator of 73/30 and -2/39.
390
Calculate the smallest common multiple of 160 and 44.
1760
Calculate the lowest common multiple of 748 and 14.
5236
What is the lowest common multiple of 24 and 468?
936
What is the common denominator of -1/404 and 79/3636?
3636
What is the common denominator of 79/720 and 31/80?
720
Calculate the common denominator of -79/399 and 121/36.
4788
What is the smallest common multiple of 9 and 12?
36
What is the lowest common multiple of 26 and 208?
208
Calculate the lowest common multiple of 54 and 522.
1566
Find the common denominator of -27/25 and -7/45.
225
Find the common denominator of 101/12 and -107/6816.
6816
What is the common denominator of -83/320 and -115/112?
2240
Find the common denominator of 101/30 and -89/620.
1860
What is the common denominator of -68/129 and 71/27?
1161
What is the least common multiple of 35 and 130?
910
Find the common denominator of -67/44 and 119/18.
396
Calculate the smallest common multiple of 507 and 1.
507
Calculate the common denominator of 77/2208 and 133/96.
2208
Find the common denominator of -35/117 and -137/1170.
1170
What is the lowest common multiple of 5 and 403?
2015
Calculate the common denominator of -41/192 and -58/219.
14016
What is the smallest common multiple of 42 and 24?
168
Calculate the smallest common multiple of 6 and 230.
690
What is the common denominator of -97/12 and 107/6?
12
Calculate the smallest common multiple of 100 and 300.
300
Calculate the common denominator of 107/24 and -11/18.
72
Find the common denominator of -157/66 and 35/174.
1914
Find the common denominator of 109/18 and 151/54.
54
Find the common denominator of 9/347 and 6/11.
3817
Calculate the common denominator of 65/32 and -9/110.
1760
Calculate the common denominator of 17/80 and 113/80.
80
Find the common denominator of 53/8 and 123/20.
40
Calculate the common denominator of -89/75 and -13/155.
2325
What is the least common multiple of 8 and 4017?
32136
What is the least common multiple of 213 and 60?
4260
Calculate the smallest common multiple of 318 and 282.
14946
What is the smallest common multiple of 2 and 28887?
57774
Find the common denominator of -19/24 and 149/84.
168
Find the common denominator of -49/30 and 62/231.
2310
Find the common denominator of -53/9 and 33/514.
4626
Find the common denominator of -179/90 and -37/6690.
20070
Calculate the lowest common multiple of 36 and 250.
4500
Calculate the least common multiple of 1 and 86.
86
Calculate the common denominator of 95/1338 and 7/8.
5352
What is the lowest common multiple of 660 and 176?
2640
Calculate the least common multiple of 7271 and 661.
7271
What is the common denominator of 7/10 and 19/38987?
389870
Calculate the lowest common multiple of 108 and 432.
432
Find the common denominator of 47/51 and 37/357.
357
Find the common denominator of -13/4 and 1/172.
172
What is the least common multiple of 195 and 18?
1170
Calculate the common denominator of 86/315 and 92/495.
3465
Calculate the least common multiple of 8 and 14.
56
Calculate the smallest common multiple of 15 and 4854.
24270
Find the common denominator of -29/3 and -16/39.
39
What is the common denominator of -14/3 and 125/3972?
3972
What is the smallest common multiple of 184 and 104?
2392
Calculate the lowest common multiple of 168 and 231.
1848
Calculate the common denominator of -43/24 and -83/1996.
11976
Calculate the common denominator of 77/596 and -93/596.
596
Calculate the common denominator of -77/172 and -83/16.
688
Calculate the common denominator of -123/80 and -169/1200.
1200
What is the least common multiple of 36 and 84?
252
Calculate the common denominator of -115/96 and 31/32.
96
Calculate the smallest common multiple of 72 and 24.
72
Calculate the smallest common multiple of 3725 and 50.
7450
What is the smallest common multiple of 24 and 9?
72
Calculate the common denominator of -57/5 and -43/54.
270
Calculate the common denominator of -143/2700 and 67/270.
2700
Calculate the lowest common multiple of 207 and 207.
207
What is the least common multiple of 230 and 10?
230
What is the common denominator of 83/6 and 29/1338?
1338
What is the common denominator of -37/782 and 63/184?
3128
Find the common denominator of -41/26 and 17/8.
104
What is the common denominator of -7/4 and 9/103?
412
Calculate the least common multiple of 7002 and 6224.
56016
What is the common denominator of 101/850 and 5/102?
2550
What is the least common multiple of 24 and 1407?
11256
Calculate the least common multiple of 7020 and 3510.
7020
Calculate the lowest common multiple of 860 and 1290.
2580
Calculate the common denominator of 32/9 and 23/640.
5760
What is the lowest common multiple of 5 and 68?
340
What is the smallest common multiple of 2120 and 1696?
8480
Calculate the least common multiple of 85 and 187.
935
Find the common denominator of -74/207 and 23/54.
1242
What is the common denominator of 141/2530 and 31/3910?
43010
Calculate the common denominator of -83/198 and -29/44.
396
What is the least common multiple of 7 and 116?
812
Calculate the least common multiple of 6 and 1647.
3294
Calculate the smallest common multiple of 57 and 456.
456
What is the least common multiple of 2494 and 6?
7482
What is the common denominator of -34/27 and 55/12?
108
Calculate the common denominator of 64/1179 and 81/262.
2358
Find the common denominator of 133/72 and 1/30.
360
Find the common denominator of 107/200 and -161/120.
600
What is the common denominator of 131/90 and -11/54?
270
Calculate the common denominator of -83/74 and -119/36.
1332
What is the common denominator of 7/5 and -47/90?
90
Calculate the smallest common multiple of 12 and 31.
372
Calculate the least common multiple of 11 and 2294.
25234
Find the common denominator of 79/12 and 71/112.
336
Calculate the lowest common multiple of 29 and 635.
18415
What is the least common multiple of 775 and 186?
4650
What is the lowest common multiple of 45 and 5?
45
What is the least common multiple of 56 and 126?
504
Find the common denominator of 119/18 and 113/90.
90
Calculate the common denominator of -29/20 and -13/2264.
11320
What is the common denominator of 55/51 and 70/153?
153
What is the least common multiple of 49 and 49?
49
Calculate the smallest common multiple of 570 and 45.
1710
What is the common denominator of 17/110 and -101/990?
990
What is the common denominator of 29/14 and -32/161?
322
Calculate the common denominator of -99/4 and -107/56.
56
Calculate the lowest common multiple of 5 and 1164.
5820
Calculate the lowest common multiple of 640 and 4.
640
What is the common denominator of 119/20 and 53/1460?
1460
Calculate the smallest common multiple of 126 and 1836.
12852
What is the smallest common multiple of 117 and 312?
936
Calculate the common denominator of 37/180 and 34/165.
1980
Calculate the common denominator of 16/47 and -4/329.
329
What is the common denominator of -5/391 and 4/253?
4301
What is the smallest common multiple of 1148 and 128?
36736
Calculate the common denominator of 95/86 and 6/301.
602
What is the lowest common multiple of 150 and 45?
450
What is the lowest common multiple of 190 and 1240?
23560 | {
"pile_set_name": "DM Mathematics"
} |
and -29/1309823?
2619646
What is the common denominator of 117/2282 and 91/29014?
203098
What is the smallest common multiple of 10922600 and 11?
120148600
Find the common denominator of -23/110 and -163/346470.
3811170
What is the common denominator of 137/12 and 131/588?
588
Find the common denominator of -41/256360 and -107/128180.
256360
What is the common denominator of -22/4865 and -77/75060?
525420
What is the common denominator of -35/12584 and 131/468?
113256
What is the lowest common multiple of 3 and 42672?
42672
Calculate the common denominator of 47/30652 and 59/33756.
2666724
Calculate the least common multiple of 344874 and 11.
3793614
Calculate the common denominator of -23/9025 and 2.
9025
Calculate the common denominator of 55/4326 and 143/58092.
406644
What is the lowest common multiple of 111118 and 63496?
444472
Calculate the lowest common multiple of 6 and 1831602.
1831602
Calculate the lowest common multiple of 54808 and 96968.
1260584
Calculate the smallest common multiple of 15642 and 285822.
3144042
Calculate the least common multiple of 14040 and 7644.
687960
Find the common denominator of -34/621 and -47/10695.
96255
Find the common denominator of 127/123000 and -161/30750.
123000
Calculate the common denominator of 65/5376 and -113/131712.
263424
Find the common denominator of 179/1290 and -127/31820.
95460
Find the common denominator of -197/87120 and 15/32.
174240
Calculate the common denominator of 11/16 and 69/160.
160
Calculate the lowest common multiple of 455 and 18018.
90090
Calculate the lowest common multiple of 21 and 6081.
42567
What is the least common multiple of 40150 and 250?
200750
What is the smallest common multiple of 5655 and 552885?
7187505
Calculate the least common multiple of 240555 and 64148.
962220
What is the smallest common multiple of 70551 and 33?
776061
What is the common denominator of -59/213270 and -97/127962?
639810
What is the common denominator of 61/6006 and 107/312?
24024
Calculate the least common multiple of 10480 and 524.
10480
Calculate the lowest common multiple of 29076 and 43614.
87228
Calculate the common denominator of 23/4020 and -85/402.
4020
Calculate the least common multiple of 47028 and 204.
799476
What is the common denominator of 61/257205 and -58/154323?
771615
Calculate the least common multiple of 1437 and 35598.
17051442
Calculate the smallest common multiple of 2 and 26672.
26672
Calculate the least common multiple of 29070 and 340.
58140
Find the common denominator of -55/51184 and 19/6398.
51184
Calculate the common denominator of 61/4728 and -97/576.
113472
What is the smallest common multiple of 159481 and 227830?
1594810
Find the common denominator of -4/765 and -75/1042.
797130
What is the least common multiple of 518908 and 61048?
1037816
What is the lowest common multiple of 768 and 1059?
271104
Find the common denominator of -25/938 and -24/2737.
366758
What is the lowest common multiple of 16606 and 13110?
249090
Calculate the least common multiple of 112497 and 5357.
112497
Calculate the least common multiple of 935631 and 12.
3742524
Find the common denominator of 83/120 and 99/13240.
39720
Calculate the smallest common multiple of 1350 and 115500.
1039500
Calculate the least common multiple of 12 and 249.
996
Calculate the common denominator of 29/42060 and -109/4206.
42060
What is the least common multiple of 435 and 2523?
12615
Calculate the common denominator of 15/1319 and -37/14509.
14509
Calculate the common denominator of 169/1680 and -41/25200.
25200
What is the lowest common multiple of 9180 and 14280?
128520
Find the common denominator of -71/519744 and -101/866240.
2598720
What is the common denominator of 71/6342 and 85/24?
25368
What is the least common multiple of 25848 and 20?
129240
Calculate the least common multiple of 18 and 141573.
849438
What is the lowest common multiple of 31155 and 2010?
62310
Calculate the least common multiple of 224672 and 80.
1123360
What is the smallest common multiple of 14740 and 75?
221100
What is the least common multiple of 27 and 174513?
1570617
Find the common denominator of -13/23120 and -41/3890.
8993680
Calculate the common denominator of -109/2002 and -85/1354892.
17613596
Calculate the lowest common multiple of 690382 and 197252.
1380764
Calculate the common denominator of 93/279008 and -83/279008.
279008
Find the common denominator of -15/22 and -17/16506.
181566
Find the common denominator of -19/102992 and -3/3608.
1132912
Calculate the least common multiple of 6119 and 45365.
1315585
Calculate the smallest common multiple of 24242 and 14.
169694
Find the common denominator of -88/135 and 187/375510.
3379590
What is the smallest common multiple of 407 and 91289?
3377693
Calculate the common denominator of -49/1431 and -32/12561.
113049
What is the lowest common multiple of 1305 and 19343?
870435
Find the common denominator of 173/40290 and 59/443190.
443190
Calculate the common denominator of -52/135705 and -69/316645.
949935
Calculate the least common multiple of 270 and 31870.
860490
Calculate the lowest common multiple of 8121 and 29777.
89331
Find the common denominator of -131/144 and 23/8160.
24480
What is the smallest common multiple of 1168975 and 27071?
12858725
Find the common denominator of 125/84696 and 4/10587.
84696
Calculate the smallest common multiple of 1836 and 124.
56916
Find the common denominator of -95/16 and 81/6160.
6160
Find the common denominator of 103/42 and -33/1316.
3948
What is the common denominator of -59/62280 and 121/9750?
20241000
What is the common denominator of 91/23680 and 143/666?
213120
What is the common denominator of 11/48 and 35/28604?
343248
What is the common denominator of 161/91620 and 64/2545?
91620
What is the common denominator of -14/155 and 21/21731?
108655
What is the lowest common multiple of 24 and 169707?
1357656
Find the common denominator of -17/151392 and -91/56772.
454176
What is the common denominator of -107/26574 and -11/9?
79722
Calculate the lowest common multiple of 1066 and 2626.
107666
What is the common denominator of 47/4341 and -103/677196?
677196
What is the smallest common multiple of 231 and 2898?
31878
Calculate the common denominator of 139/1140 and 101/18810.
37620
What is the common denominator of -53/2621443 and 91/6?
15728658
What is the lowest common multiple of 392 and 44100?
88200
Calculate the common denominator of 137/243456 and 37/432.
2191104
Calculate the common denominator of -43/30288 and -5/30288.
30288
What is the common denominator of 11/9 and -59/16535?
148815
What is the least common multiple of 128 and 49926?
3195264
Find the common denominator of 143/48 and 55/177216.
177216
What is the smallest common multiple of 10 and 36120?
36120
Calculate the smallest common multiple of 320140 and 120.
1920840
Calculate the common denominator of 129/50960 and 23/584080.
7593040
Find the common denominator of -35/486 and 1/972.
972
Find the common denominator of -151/207504 and -107/3930.
1037520
What is the least common multiple of 96 and 70356?
562848
Find the common denominator of -39/34928 and 23/20.
174640
Calculate the common denominator of -4/3545 and 25/86498.
432490
What is the least common multiple of 443200 and 30?
1329600
What is the common denominator of -16/573 and 49/1836?
350676
Find the common denominator of 161/9090 and -19/106050.
318150
Calculate the common denominator of -97/3438 and 11/32058.
6123078
Find the common denominator of 99/2433218 and -103/10.
12166090
What is the common denominator of 7/16306 and 55/18?
146754
Calculate the lowest common multiple of 2606 and 274933.
549866
Calculate the common denominator of -13/1969 and 103/1527944.
1527944
What is the smallest common multiple of 96 and 17376?
17376
Calculate the common denominator of -11/4 and -73/732184.
732184
What is the smallest common multiple of 131 and 4323?
4323
Calculate the least common multiple of 11858 and 15246.
106722
Calculate the lowest common multiple of 14098 and 6042.
42294
Find the common denominator of 9/2645 and -33/17986.
89930
Calculate the common denominator of 83/10248 and 173/58926.
235704
Calculate the smallest common multiple of 18 and 2335490.
21019410
Calculate the least co | {
"pile_set_name": "DM Mathematics"
} |
6*p + 6. What is x(-8)?
22
Let i(c) = 10*c + 6. What is i(-7)?
-64
Let r(c) = -6*c**2 - 2*c - 1. Calculate r(2).
-29
Let u(x) = -8*x + 27. Give u(7).
-29
Let h(d) = -d**3 - 6*d**2 + 29*d + 3. Give h(-9).
-15
Let n(x) = 3*x + 7. Calculate n(-8).
-17
Let l(c) = -c**2 + 5. Give l(-4).
-11
Let h(l) = -4*l + 15. Give h(4).
-1
Let n(h) = -151*h - 1364. Calculate n(-9).
-5
Let b(v) = v**3 + 3*v**2 - 8*v + 5. Give b(-5).
-5
Let y(o) = o**2 + 13*o - 26. What is y(-18)?
64
Let p(m) = m + 14. Give p(-16).
-2
Let d(b) = -b**2 - 6*b - 1. Give d(-5).
4
Let o(i) = -i**2 - 9*i - 2. Calculate o(-9).
-2
Let j(s) = s**3 - 10*s**2 - 13*s + 19. Give j(11).
-3
Let k(i) = 15*i - 43. Calculate k(3).
2
Let t(a) = -4*a**3 + 3*a**2 + 4*a + 2. Calculate t(-2).
38
Let v(p) = 2*p**2 + 14*p - 11. Determine v(-8).
5
Let s(w) = 47*w**2 - w + 1. Calculate s(1).
47
Let c(j) = -j**2 - 8*j + 1. What is c(-9)?
-8
Let s(x) = -10*x + 29. Calculate s(3).
-1
Let v(x) = x - 22. What is v(6)?
-16
Let a(z) = -14*z - 35. What is a(-2)?
-7
Let h(v) = -v**2 + 3*v - 4. Give h(4).
-8
Let b(c) = -2*c**2 + 3*c. What is b(2)?
-2
Let s(n) = n**3 + n**2 - n + 8. Calculate s(0).
8
Let k(s) = s**3 - 2*s**2 - 8*s + 3. What is k(4)?
3
Let n(u) = -5*u + 22. What is n(8)?
-18
Let u(o) = o**2 + 2*o - 32. Give u(-5).
-17
Let t(f) = f**3 + 8*f**2 - 9*f + 9. Calculate t(-9).
9
Let t(x) = x**3 + 6*x**2 - 6*x + 10. Determine t(-7).
3
Let s(z) = -z**2 - 7*z + 13. What is s(-9)?
-5
Let d(n) = 6*n + 5. What is d(-2)?
-7
Let i(m) = m**2 + 2*m + 16. Determine i(0).
16
Let a(u) = -u**3 - 18*u**2 + 22*u + 32. Give a(-19).
-25
Let u(i) = -2*i**2 + 16*i - 8. Determine u(7).
6
Let u(c) = 4*c**2 + 78*c - 28. Determine u(-20).
12
Let t(w) = w**2 - w - 7. Calculate t(3).
-1
Let p(c) = -c**3 - 7*c**2 - 6*c - 7. What is p(-6)?
-7
Let b(i) = -i**2 - 31*i - 124. Determine b(-26).
6
Let d(s) = s**3 - 4*s**2 + 3*s - 3. Calculate d(3).
-3
Let p(a) = a**3 + 4*a**2 - 4*a - 15. Give p(-5).
-20
Let v(q) = 16*q - 1. Determine v(2).
31
Let z(h) = -h**2 - h + 7. What is z(0)?
7
Let p(a) = a**3 + 27*a**2 - 7*a + 9. Calculate p(-27).
198
Let q(j) = j**2 + 7*j + 1. Give q(-2).
-9
Let u(s) = 2*s**2 - 49*s - 21. Calculate u(25).
4
Let z(f) = -11*f**2 - f + 1. Give z(1).
-11
Let j(l) = l**2 - 4*l - 74. Give j(11).
3
Let h(q) = q**2 - 18*q + 55. What is h(15)?
10
Let x(j) = 2*j + 29. What is x(-15)?
-1
Let c(x) = x**3 + 8*x**2 + 3*x - 15. Calculate c(-8).
-39
Let r(c) = -c**2 - 5*c - 1. Determine r(-6).
-7
Let i(b) = 2*b + 9. Determine i(-3).
3
Let c(x) = -4*x + 16. What is c(6)?
-8
Let z(x) = 2*x**2 - 43*x + 150. Calculate z(17).
-3
Let a(r) = -10*r**2 - r. Calculate a(-1).
-9
Let b(y) = y**2 - 7*y + 12. Calculate b(4).
0
Let k(a) = 2*a - 27. Calculate k(16).
5
Let r(w) = 2*w**3 - 4*w**2 - 18*w + 48. Determine r(2).
12
Let a(j) = -25*j - 16. Determine a(1).
-41
Let g(o) = o**3 - 8*o**2 - 8*o + 7. Calculate g(9).
16
Let t(b) = -9*b**2 - 2. Give t(0).
-2
Let a(z) = z**3 - 34*z**2 + 29*z + 122. What is a(33)?
-10
Let p(m) = -164*m - 169. Calculate p(-1).
-5
Let r(q) = 2*q + 3. Give r(-9).
-15
Let v(z) = -z**2 - 3*z - 6. What is v(-5)?
-16
Let y(u) = -u**3 - 13*u**2 - 32*u - 25. Determine y(-10).
-5
Let p(x) = x + 3. Give p(3).
6
Let b(a) = -a**2 + 10*a + 87. What is b(16)?
-9
Let o(t) = -17*t**3 - t**2 - 4*t + 4. Calculate o(1).
-18
Let b(j) = j**2 + 12*j - 15. Calculate b(-7).
-50
Let l(u) = -2*u - 3. Give l(-5).
7
Let d(r) = 8*r - 34. Calculate d(0).
-34
Let g(m) = m - 25. What is g(6)?
-19
Let j(w) = w**3 + 24*w**2 - 29*w - 23. Calculate j(-25).
77
Let m(f) = -2*f + 3. Calculate m(1).
1
Let w(k) = -k - 6. Give w(-5).
-1
Let i(w) = -13*w + 8. What is i(2)?
-18
Let m(u) = u**3 + 5*u**2 - 2*u - 23. Determine m(-7).
-107
Let y(t) = -7*t**3 - t**2 - 3*t - 3. What is y(-1)?
6
Let j(k) = -2*k**2 - 9*k - 20. Calculate j(-2).
-10
Let u(l) = l**3 + 6*l**2 + l + 4. Give u(-6).
-2
Let f(c) = -2*c + 64. Calculate f(9).
46
Let n(w) = -w**3 - 34*w**2 + 34*w - 46. Calculate n(-35).
-11
Let d(i) = i**3 - 5*i**2 - 27*i + 113. Calculate d(4).
-11
Let u(p) = 24*p + 95. What is u(-5)?
-25
Let n(d) = 6*d**2 - 6*d - 7. What is n(-2)?
29
Let a(n) = 9*n - 33. What is a(16)?
111
Let x(m) = m**3 + 7*m**2 - 2*m - 10. Calculate x(-7).
4
Let d(c) = 7*c**2 - 55*c. What is d(8)?
8
Let c(k) = k**3 - k + 4. Determine c(0).
4
Let a(q) = -2*q**2 + 11*q + 78. What is a(-4)?
2
Let v(j) = j**3 + 19*j**2 + 34*j + 3. Determine v(-17).
3
Let c(d) = d**2 - 5*d + 2. What is c(8)?
26
Let r(q) = -q**3 - 25*q**2 + 34*q + 203. Give r(-26).
-5
Let f(p) = 39*p**2 + p. Give f(1).
40
Let n(s) = s**2 - 23. Determine n(4).
-7
Let n(a) = a**2 + 10*a + 30. What is n(-5)?
5
Let n(b) = 11*b - 46. What is n(3)?
-13
Let x(m) = -47*m + 138. Determine x(3).
-3
Let h(q) = q**3 - q + 5. Calculate h(3).
29
Let t(y) = -y**3 + 18*y**2 - 30*y - 23. Calculate t(16).
9
Let r(v) = -31*v**3 - 2*v + 1. Give r(1).
-32
Let b(g) = 2*g**2 + 35*g - 45. Determine b(-19).
12
Let p(g) = -g**3 - 26*g**2 - 29*g - 87. What is p(-25)?
13
Let d(g) = g**2 - 11*g + 52. What is d(5)?
22
Let i(z) = -24*z + 447. What is i(18)?
15
Let w(b) = -b + 7. Give w(3).
4
Let b(s) = -s**3 + 8*s**2 - 15*s + 9. What is b(6)?
-9
Let z(h) = h**2 + 11*h + 10. What is z(-10)?
0
Let c(x) = 2*x**2 - 4*x. What is c(6)?
48
Let u(f) = 6*f - 3. What is u(-4)?
-27
Let r(g) = -3*g + 21. What is r(6)?
3
Let y(x) = 2*x**2 - 5*x + 5. Determine y(2).
3
Let w(r) = -8*r + 5. Determine w(4).
-27
Let p(j) = -j**3 - 11*j**2 + 9*j - 2. Give p(-12).
34
Let v(z) = -z**3 - 6*z**2 + 2*z + 12. Give v(-6).
0
Let l(m) = 2*m**2 + 6*m - 5. What is l(1)?
3
Let b(y) = y**3 + 11*y**2 + 25*y - 20. Calculate b(-7).
1
Let u(h) = -h**2 - 3*h + 19. Determine u(-6).
1
Let w(q) = -q**3 + 21*q**2 + 25*q - 73. Determine w(22).
-7
Let j(s) = -s**3 + 18*s**2 + 2*s - 30. Determine j(18).
6
Let z(v) = -v**3 - v**2 + 4*v - 15. Calculate z(0).
-15
Let s(i) = -i + 2. Give s(-5).
7
Let p(n) = -4*n - 12. Give p(-8).
20
Let s(d) = -3*d - 31. Calculate s(-13).
8
Let x(y) = 14*y + 675. Give x(-47).
17
Let i(c) = -c**3 + 7*c**2 + 8*c - 17. Give i(8).
-17
Let n(a) = a**3 - 12*a**2 + 11*a + 8. Calculate n(11).
8
Let d(k) = 2*k - 12. What is d(-3)?
-18
Let t(i) = -6*i - 1. Calculate t(5).
-31
Let o(f) = 4*f**2 + 15*f - 34. Calculate o(-8).
102
Let w(d) = -63*d - 10. Calculate w(-2).
116
Let g(m) = -m + 11. Give g(9).
2
Let g(q) = -27*q - 41. Give g(-1).
-14
Let u(o) = o**2 + 2*o - 12. Calculate u(-6).
12
Let r(i) = i**3 - 7*i**2 + 8*i + 10. What is r(5)?
0
Let f(x) = 9*x + 24. Determine f(-3).
-3
Let b(t) = 3*t - 74. Calculate b(26).
4
Let i(u) = 2*u**2 - 40*u + 41. Determine i(19).
3
Let k(s) = -s + 6. Determine k(0).
6
Let r(a) = -12*a - 27. Determine r(-11).
105
Let c(t) = 4*t**3 + 2*t + 1. Calculate c(-1).
-5
Let u(c) = -c + 1. What is u(2)?
-1
Let j(g) = -6*g + 1. Determine j(-3).
19
Let h(j) = -j**2 - 49*j - 333. Determine h(-41).
-5
Let z(c) = -13*c - 130. Determine z(-10).
0
Let r(x) = 2*x**2 + 39*x + 28. Determine r(-17).
-57
Let p(h) = -2*h**2 + 9*h - 19. What is p(6)?
-37
Let n(y) = -y**3 - 12*y**2 - 9*y + 19. Give n(-11).
-3
Let q(h) = -3*h - 12. Give q(11).
-45
Let n(c) = -9*c + 254. Calculate n(28).
2
Let g(l) = -2*l + 11. Give g(6).
-1
Let b(y) = -y**2 - 20*y + 437. Determine b(-33).
8
Let w(y) = -y**2 - 3*y + 7. What is w(-5)?
-3
Let p(r) = r**3 - 4*r**2 - 10*r - 18. What is p(6)?
-6
Let q(z) = 2*z**3 + 24*z**2 + z + 8. What is q(-12)?
-4
Let y(b) = -8*b**2 + 63*b + 11. Calculate y(8).
3
Let f(x) = x - 4. Give f(3).
-1
Let s(j) = -j**3 - 6*j**2 - 6. Determine s(-5).
-31
Let q(x) = -x**2 + 14*x - 38. Determine q(11).
-5
Let i(r) = r**2 + 11*r - 12. What is i(-12)?
0
Let y(k) = 11*k + 8. Give y(-4).
-36
Let u(y) = -2*y**2 + 14*y - 4. Give u(6).
8
Let f(u) = 5*u + 96. Determine f(-18).
6
Let n(b) = -17*b - 26. Determine n(-1).
-9
Let r(k) = -7*k**3 + k**2. Determine r(-1).
8
Let f(i) = -i**2 - 9*i + 20. Calculate f(-9).
20
Let u(x) = -x**2 + 19*x + 39. What is u(21)?
-3
Let p(i) = i**3 + i**2 + i + 1. Calculate p(-2).
-5
Let i(j) = -7*j + 7. What is i(7)?
-42
Let x(y) = y**2 - 2. What is x(-5)?
23
Let v(z) = 7*z + 21. Determine v(19).
154
Let s(x) = x**3 - 7*x**2 + 2*x + 28. Determine s(6).
4
Let m(a) = -a**3 + 7*a**2 + a - 8. Determine m(7).
-1
Let u(y) = -y**3 + 25*y**2 + y + 5. De | {
"pile_set_name": "DM Mathematics"
} |
common denominator of 41/10 and 89/484.
2420
Calculate the common denominator of 25/11 and 133/130.
1430
What is the lowest common multiple of 27 and 18?
54
Calculate the smallest common multiple of 33 and 228.
2508
Find the common denominator of 2/581 and -2/63.
5229
Calculate the common denominator of -23/25 and 41/129.
3225
Calculate the common denominator of -7/40 and -23/80.
80
What is the common denominator of 37/2142 and 56/9?
2142
Find the common denominator of -41/75 and -127/600.
600
Calculate the lowest common multiple of 2229 and 3715.
11145
What is the common denominator of 145/6 and 145/24?
24
Find the common denominator of 95/2424 and -73/4.
2424
What is the smallest common multiple of 9 and 87?
261
Find the common denominator of -7/366 and 143/732.
732
Calculate the lowest common multiple of 36 and 6.
36
Find the common denominator of -44/513 and 13/285.
2565
Calculate the smallest common multiple of 486 and 648.
1944
Calculate the least common multiple of 2484 and 72.
4968
What is the lowest common multiple of 15 and 15?
15
Find the common denominator of -111/44 and 103/24.
264
What is the common denominator of -99/130 and -131/156?
780
Calculate the lowest common multiple of 195 and 30.
390
Calculate the least common multiple of 9 and 247.
2223
Find the common denominator of -123/10 and -61/5205.
10410
Calculate the common denominator of 80/891 and 16/297.
891
Find the common denominator of -137/6 and 16/5463.
10926
Calculate the least common multiple of 60 and 762.
7620
Calculate the smallest common multiple of 64 and 408.
3264
What is the common denominator of -73/16496 and 13/12?
49488
What is the lowest common multiple of 20 and 76?
380
What is the common denominator of -44/69 and 131/30?
690
What is the smallest common multiple of 56 and 56?
56
Calculate the lowest common multiple of 6916 and 3458.
6916
What is the smallest common multiple of 4480 and 448?
4480
What is the least common multiple of 636 and 28?
4452
Calculate the lowest common multiple of 40 and 110.
440
Calculate the smallest common multiple of 117 and 130.
1170
What is the lowest common multiple of 76 and 68?
1292
What is the common denominator of 83/198 and 119/20?
1980
What is the smallest common multiple of 5 and 45?
45
Calculate the smallest common multiple of 836 and 99.
7524
Find the common denominator of 39/595 and -43/170.
1190
Calculate the common denominator of 33/28 and -47/56.
56
Calculate the smallest common multiple of 666 and 48.
5328
Calculate the least common multiple of 4 and 11952.
11952
Calculate the smallest common multiple of 9235 and 55.
101585
What is the common denominator of 61/80 and 37?
80
What is the lowest common multiple of 3435 and 24?
27480
Calculate the common denominator of -61/30 and -88/465.
930
What is the least common multiple of 648 and 6318?
25272
Calculate the least common multiple of 55 and 1840.
20240
What is the smallest common multiple of 90 and 7?
630
Calculate the common denominator of -26/87 and -34/15.
435
What is the least common multiple of 210 and 12?
420
Find the common denominator of -77/12 and 119/132.
132
What is the common denominator of -109/798 and 185/9576?
9576
Calculate the smallest common multiple of 20 and 6.
60
What is the common denominator of -45/34 and 75/74?
1258
What is the least common multiple of 8635 and 50?
86350
Calculate the smallest common multiple of 70 and 110.
770
Find the common denominator of -143/140 and 89/24.
840
Find the common denominator of 77/1700 and -65/56.
23800
What is the smallest common multiple of 10101 and 8658?
60606
What is the least common multiple of 10 and 90?
90
What is the smallest common multiple of 648 and 567?
4536
Find the common denominator of 31/38 and 23/36.
684
What is the least common multiple of 476 and 4?
476
What is the common denominator of -97/308 and 43/168?
1848
Calculate the common denominator of -27/22 and -15/16.
176
What is the least common multiple of 44 and 312?
3432
Calculate the least common multiple of 24 and 24.
24
Calculate the lowest common multiple of 486 and 1134.
3402
Calculate the lowest common multiple of 140 and 2968.
14840
What is the lowest common multiple of 666 and 6438?
19314
What is the common denominator of -8/7533 and 2/15?
37665
What is the smallest common multiple of 8 and 720?
720
What is the least common multiple of 30 and 240?
240
What is the lowest common multiple of 8 and 108?
216
Find the common denominator of 1/130 and 119/10.
130
What is the smallest common multiple of 72 and 4?
72
Calculate the smallest common multiple of 1755 and 1170.
3510
Calculate the common denominator of 35/51 and 161/66.
1122
Find the common denominator of -29/8 and -15/428.
856
What is the common denominator of -113/160 and -133/2880?
2880
Calculate the common denominator of -6/77 and 131/70.
770
What is the common denominator of 48/83 and -45/32?
2656
Calculate the least common multiple of 1764 and 21.
1764
What is the lowest common multiple of 42 and 21?
42
What is the common denominator of 5/288 and -63/44?
3168
What is the smallest common multiple of 27 and 27?
27
Calculate the lowest common multiple of 1048 and 16.
2096
What is the common denominator of 11/25 and -27/880?
4400
What is the common denominator of 125/192 and -137/48?
192
Calculate the common denominator of -47 and -19/533.
533
What is the lowest common multiple of 66 and 60?
660
What is the common denominator of 49/5 and 25/171?
855
Calculate the common denominator of -41/72 and 109/216.
216
What is the smallest common multiple of 136 and 1496?
1496
Calculate the common denominator of -85/12 and -59/580.
1740
Calculate the common denominator of 35/3 and 22/39.
39
Calculate the lowest common multiple of 1071 and 27.
3213
Calculate the least common multiple of 26 and 8.
104
Calculate the common denominator of 7/20 and 81/820.
820
Calculate the common denominator of 79/792 and -79/1188.
2376
Calculate the smallest common multiple of 20 and 3128.
15640
Calculate the smallest common multiple of 18 and 1941.
11646
What is the smallest common multiple of 189 and 240?
15120
Find the common denominator of -17/2475 and -2/225.
2475
Calculate the least common multiple of 847 and 242.
1694
Find the common denominator of 47/51 and 7/66.
1122
Calculate the least common multiple of 2584 and 11.
28424
Find the common denominator of -91/198 and -17/1440.
15840
What is the common denominator of 79/90 and 103/60?
180
Find the common denominator of -43/30 and -121/144.
720
Find the common denominator of 43/11 and -2/11.
11
Calculate the smallest common multiple of 6 and 78.
78
Calculate the common denominator of -109/30 and -107/504.
2520
What is the smallest common multiple of 8 and 368?
368
Find the common denominator of -15/12154 and -53/20.
121540
What is the least common multiple of 5 and 205?
205
What is the smallest common multiple of 25009 and 2?
50018
Find the common denominator of 1/1592 and 73/8955.
71640
Find the common denominator of 53/6390 and -143/60.
12780
What is the common denominator of -121/270 and -121/1842?
82890
Find the common denominator of -34/393 and 143/12.
1572
Calculate the least common multiple of 17 and 14.
238
Calculate the common denominator of -83/18 and 61/54.
54
What is the least common multiple of 16 and 100?
400
Calculate the least common multiple of 187 and 170.
1870
Find the common denominator of -41/3 and 31/631.
1893
Calculate the common denominator of -89/2132 and -59/4.
2132
What is the lowest common multiple of 270 and 105?
1890
Find the common denominator of -17/30 and 23/70.
210
What is the lowest common multiple of 108 and 144?
432
Calculate the common denominator of -73/248 and 97/6.
744
Calculate the common denominator of 109/6396 and 8/3731.
44772
Calculate the common denominator of -107/60 and -61/894.
8940
Find the common denominator of -71/37840 and -103/14.
264880
Calculate the common denominator of 119/930 and 43/5425.
32550
What is the common denominator of -149/72 and -39/16?
144
Calculate the lowest common multiple of 16 and 58.
464
What is the common denominator of 101/10 and -30/77?
770
What is the lowest common multiple of 4 and 94?
188
Calculate the common denominator of 79/12 and 18/55.
660
What is the com | {
"pile_set_name": "DM Mathematics"
} |
4987645 divided by 154987645?
-1
Divide -9680968 by 3014.
-3212
What is -458639616 divided by 22208?
-20652
Calculate 0 divided by 30222551.
0
-5312976 divided by 17
-312528
What is -425 divided by -8633?
425/8633
What is 903813853 divided by 67?
13489759
What is 4924703 divided by -703529?
-7
Divide -1077807 by 3.
-359269
Calculate -59145807 divided by 19715269.
-3
What is 6857654 divided by 3?
6857654/3
-976 divided by 25454
-488/12727
15023207 divided by -3889
-3863
Divide 4231876 by 384716.
11
7370304 divided by -53408
-138
11334538 divided by 46
246403
What is -74864141 divided by -11?
6805831
-5 divided by 4664061
-5/4664061
-6363552 divided by 3181776
-2
Divide -54763 by 52.
-54763/52
Calculate 11 divided by 521114.
1/47374
-816100 divided by -210
81610/21
Calculate -5 divided by 547861.
-5/547861
Calculate 32009 divided by -1785.
-32009/1785
Calculate 2278105 divided by -59.
-2278105/59
Calculate -13 divided by -900555.
13/900555
What is 161585000 divided by 136?
1188125
Calculate 507300 divided by 190.
2670
What is -1422 divided by -6913?
1422/6913
Calculate 1511 divided by -2857.
-1511/2857
What is 60 divided by -152444?
-15/38111
What is 186 divided by 37648?
93/18824
Calculate 489761 divided by -450.
-489761/450
What is -44075746 divided by 1?
-44075746
-171581993 divided by -503173
341
What is 63325490 divided by -12665098?
-5
93354048 divided by 1476
63248
Divide -8003446 by -1.
8003446
Calculate 1437501669 divided by 3.
479167223
Calculate -287666100 divided by -31962900.
9
5490389 divided by -7
-5490389/7
Calculate 3976668 divided by 441852.
9
-1 divided by -6299520
1/6299520
Divide -301753 by -16.
301753/16
Calculate 19984968 divided by 24.
832707
What is -11182 divided by 464?
-5591/232
2 divided by 83303
2/83303
What is 4388172 divided by 2?
2194086
Calculate 17371476 divided by -2692.
-6453
What is -1555254 divided by 1?
-1555254
-235501872 divided by 4
-58875468
Divide -454 by 216912.
-227/108456
Divide -1265235555 by 253047111.
-5
What is -4049 divided by -1724?
4049/1724
Divide 1032315 by 5.
206463
Divide -6166762 by 58177.
-106
-167888 divided by 3518
-83944/1759
Divide -250 by -59968.
125/29984
Divide 121181904 by 72.
1683082
What is 7601286 divided by 16453?
462
Divide 15916 by -19.
-15916/19
Calculate 79737620 divided by -2.
-39868810
Divide -57336784 by -3372752.
17
Calculate -610127 divided by 87161.
-7
What is 7098533 divided by -6?
-7098533/6
Calculate -82557180 divided by 20639295.
-4
Calculate -13836464 divided by 919.
-15056
-55772825 divided by -5
11154565
Calculate 5 divided by -23345680.
-1/4669136
-83636904 divided by 10454613
-8
What is -12558256 divided by 2?
-6279128
What is 293857382 divided by -19?
-15466178
Divide 917382 by 6.
152897
-297570703 divided by -17504159
17
Divide -182 by 1351093.
-182/1351093
2047465384 divided by 4
511866346
Calculate -2 divided by 16392550.
-1/8196275
What is 2950 divided by -8376?
-1475/4188
What is -10992290 divided by -601?
18290
Divide 2 by -1344686.
-1/672343
Calculate 16037966 divided by -3191.
-5026
Calculate 120240358 divided by -2268686.
-53
Divide -59274374 by -59274374.
1
Divide 630372236 by 157593059.
4
Calculate -1 divided by -2111487.
1/2111487
What is -9861670 divided by -5?
1972334
What is -41584 divided by -7284?
10396/1821
What is -143087 divided by 10?
-143087/10
-23974 divided by -1202
11987/601
Divide -8270721 by 18019.
-459
-310911174 divided by 63
-4935098
What is 1 divided by 1137244?
1/1137244
Divide 27908730 by 4335.
6438
384560847 divided by -5379
-71493
What is 530 divided by 475870?
53/47587
-20818678 divided by 4
-10409339/2
Divide 1282216 by 766.
641108/383
What is -3985758 divided by 284697?
-14
What is -3553284 divided by 888321?
-4
What is 20 divided by 3785861?
20/3785861
7741440 divided by -63
-122880
Calculate -2401 divided by 9638.
-2401/9638
Divide 30392682 by 5.
30392682/5
What is 207830804 divided by -41?
-5069044
Calculate -148504911 divided by -124899.
1189
What is 120158190 divided by 1?
120158190
Divide 5 by -3783077.
-5/3783077
3862574 divided by 4
1931287/2
What is 1599294867 divided by 573841?
2787
What is -50870784 divided by -64?
794856
Calculate 485031636 divided by 276.
1757361
Calculate 54945152 divided by 128.
429259
-1354 divided by -13173
1354/13173
-7183184 divided by 26216
-274
Divide -41995102 by 8257.
-5086
-4495482 divided by -499498
9
What is 60933484 divided by -17291?
-3524
Calculate -41278484 divided by -26.
1587634
-211 divided by 11313
-211/11313
Calculate -300740890 divided by -5.
60148178
Calculate 1973 divided by -34935.
-1973/34935
Divide 85817396 by -14.
-6129814
What is -16108820 divided by 35404?
-455
Calculate -891905 divided by 2.
-891905/2
Calculate -41791932 divided by -1160887.
36
Calculate 45184 divided by 15.
45184/15
What is 849172432 divided by -16?
-53073277
Calculate 108777303 divided by 1077003.
101
Calculate -442027648 divided by -4.
110506912
-10423232 divided by 184
-56648
Divide 15392816 by 3848204.
4
140064995 divided by 73835
1897
Calculate 17891342 divided by 2.
8945671
Calculate -39856696 divided by 24482.
-1628
Calculate -2324757 divided by -21.
774919/7
3521295 divided by -9
-391255
-68460434 divided by -14
4890031
What is 907 divided by 511952?
907/511952
Divide 47893820 by 4.
11973455
Calculate 244569618 divided by -122.
-2004669
Calculate -22849120 divided by -112.
204010
Calculate -10298160 divided by -8.
1287270
What is 12916808 divided by -4?
-3229202
What is -5669909 divided by -7?
809987
What is 29100500 divided by -12100?
-2405
Calculate -127236648 divided by -434.
293172
What is 20958 divided by -4140?
-3493/690
What is -42349352 divided by 21174676?
-2
4 divided by -36659038
-2/18329519
Calculate -1 divided by 514360.
-1/514360
Calculate 336210 divided by -3202.
-105
-876 divided by 3993
-292/1331
What is 37674234 divided by -53667?
-702
Divide -210 by 12103.
-30/1729
Divide 2360655 by -157377.
-15
Divide 138 by -60048.
-23/10008
-114640715 divided by 7
-16377245
-4516641 divided by -7
4516641/7
-11926 divided by 2328
-5963/1164
14027514 divided by 111
126374
Divide 25687965 by -8.
-25687965/8
Calculate -456111942 divided by -901407.
506
Divide -104408583 by -34802861.
3
158761861 divided by -9338933
-17
Divide 1599367 by 5.
1599367/5
Calculate 63509 divided by -20.
-63509/20
135844 divided by 158
67922/79
Calculate 906 divided by 13779.
302/4593
What is -9544554 divided by -117834?
81
What is 167595500 divided by -710?
-236050
What is 184161 divided by 109?
184161/109
Calculate -6 divided by -115937.
6/115937
What is 19053 divided by -1577?
-19053/1577
What is -17816288 divided by -15?
17816288/15
2 divided by 235232190
1/117616095
-7987923 divided by 7987923
-1
Calculate 13755488 divided by 1636.
8408
Divide 1818 by 13163.
1818/13163
Divide 45384290 by -3.
-45384290/3
834301665 divided by 9
92700185
-26048457 divided by 4
-26048457/4
What is 8574966 divided by 5?
8574966/5
What is 382382980 divided by -532?
-718765
Divide 1125094 by -862.
-562547/431
Divide -63885 by -147.
21295/49
Divide -33632011 by 6.
-33632011/6
Divide 1515832 by 6.
757916/3
Calculate 504801036 divided by 126200259.
4
What is -819980 divided by -14?
58570
What is -5 divided by -21256728?
5/21256728
Divide -6159240 by -38020.
162
What is -38709190 divided by -13?
2977630
What is -31802568 divided by -2650214?
12
What is -101525529 divided by 33841843?
-3
Divide 37509 by 26531.
37509/26531
Calculate 3048682 divided by 31109.
98
Divide 598712 by -536.
-1117
Divide 4303 by 6519.
4303/6519
What is -23042 divided by -120?
11521/60
Calculate -12401964 divided by -6200982.
2
What is 5158725 divided by 11?
468975
Calculate -20671886 divided by 35.
-20671886/35
Divide -1611353865 by 3.
-537117955
4124816 divided by -6
-2062408/3
Calculate 34622 divided by 425.
34622/425
Calculate -19 divided by -16840.
19/16840
Calculate 7317 divided by -392.
-7317/392
Calculate -86906720 divided by -359.
242080
-225400192 divided by -14087512
16
Calculate 30 divided by 374641.
30/374641
What is -50177364 divided by -6?
8362894
-1866145 divided by 5
-373229
Calculate -116423 divided by 21.
-116423/21
What is 6303825 divided by -140085?
-45
Calculate -2 divided by -9677550.
1/4838775
Divide 41262345 by 4365.
9453
D | {
"pile_set_name": "DM Mathematics"
} |
3*t**2 wrt q?
12*q**2 + 184631856*q*t**2
What is the second derivative of 60131*t**2*w**2 - 4*t**2*w - 171*t**2 + 2*t*w**2 - 39*t*w - 8*w**2 + 20 wrt w?
120262*t**2 + 4*t - 16
What is the second derivative of -5637690*l**2 - 353896*l - 3 wrt l?
-11275380
What is the third derivative of q**6 - 6705396*q**5 + 2*q**3 + 107*q**2 + 9463*q wrt q?
120*q**3 - 402323760*q**2 + 12
Find the first derivative of -6241302*t - 8316017 wrt t.
-6241302
What is the derivative of -1196050*f*g*x - 23*f*g + 382412*f*x - f + 2*x + 15 wrt g?
-1196050*f*x - 23*f
What is the second derivative of -2749*b**2*s**2 - 3*b**2*s - 3219*b**2 + 363*b*s**2 + b*s - 3*b - 3*s**2 + s - 6044 wrt b?
-5498*s**2 - 6*s - 6438
Find the second derivative of 405455*s**2*z**2 - 10*s**2*z - 22*s**2 - 2*s*z**2 + 51*s*z - 2650038*z**2 wrt s.
810910*z**2 - 20*z - 44
Find the second derivative of 93645500*i**2*x**2 + i**2 + 18*i*x + 58*x - 19 wrt x.
187291000*i**2
Find the second derivative of -9895001*i**2*z - 44*i - 60*z + 650 wrt i.
-19790002*z
Find the second derivative of 2*a**3*q**2 - 2260014*a**2*q**3 - 3*a*q**3 + 43*a*q**2 + 7870*q**3 + q**2 wrt a.
12*a*q**2 - 4520028*q**3
What is the derivative of 107*h**2*n - 40*h**2*q - 223*h**2 - 7641*h*n*q + 11*h*q + q + 9 wrt n?
107*h**2 - 7641*h*q
Find the second derivative of -12862*f**4 - 8158*f**3 + 3*f**2 + 1227577*f + 4 wrt f.
-154344*f**2 - 48948*f + 6
What is the third derivative of -6051*t**6 + 655*t**5*x + 38*t**2*x + 59*t**2 - 2*t*x - 530*x wrt t?
-726120*t**3 + 39300*t**2*x
What is the third derivative of 8428078*u**5 + 6*u**2 - 1196674?
505684680*u**2
What is the first derivative of -160849793*n + 79549647 wrt n?
-160849793
Differentiate -436137264*c*y - 487102434*c with respect to y.
-436137264*c
Find the second derivative of -220645*k**5 + 248*k**2 + 1993642*k - 8.
-4412900*k**3 + 496
Find the third derivative of 14390953*i**4 - 448283*i**2 + 2*i wrt i.
345382872*i
Differentiate 45335099*o**2 - 107386693 wrt o.
90670198*o
What is the third derivative of 6*l**5 - 5268326*l**3 + 132*l**2 - 37173*l wrt l?
360*l**2 - 31609956
What is the second derivative of -1362760*m**3 - m**2 - 7658156*m?
-8176560*m - 2
What is the first derivative of -145846*l - 27505572 wrt l?
-145846
What is the derivative of s**4 - 33*s**3 - 4831*s + 1721885?
4*s**3 - 99*s**2 - 4831
What is the second derivative of -16*j*m**2 - 32236*j*m*v - 2*j - m**4*v + 57936*m**3*v - 4*v - 1 wrt m?
-32*j - 12*m**2*v + 347616*m*v
Find the second derivative of 350410376*c**3 - 47020*c - 264.
2102462256*c
Find the second derivative of -8649*k**3 + 470*k**2 - 8*k + 25921 wrt k.
-51894*k + 940
What is the second derivative of -15219*n**2*o**3 - 2*n**2*o - 25015*n**2 - 5*n*o + 2*n + 1058*o**4 - 4*o + 1 wrt o?
-91314*n**2*o + 12696*o**2
Find the second derivative of -53*f*s**2*v**3 + 40*f*s*v**3 + 4*f*s*v**2 + 16*f*v**3 + 29625*s**5*v**3 - 9*v**2 wrt s.
-106*f*v**3 + 592500*s**3*v**3
What is the second derivative of -11*a**2*d**3*z + 42655*a**2*d**3 - 4*a**2*d - a*d**3*z - 2*a*d**3 - 2*d**2*z + d*z - 2519*z - 92 wrt a?
-22*d**3*z + 85310*d**3 - 8*d
What is the third derivative of -3*k**5 - 55775*k**4 - 2*k**3 - 3963372*k**2 wrt k?
-180*k**2 - 1338600*k - 12
What is the third derivative of 135848158*c**3*d**3 - 752*c**2*d**3 + 29*c**2 + c - 31*d + 2 wrt c?
815088948*d**3
Find the first derivative of -13*a*x - 134782*a - 1611131*x wrt a.
-13*x - 134782
What is the third derivative of o**5 - 11488*o**4 + 5*o**3 + 4*o**2 + 736970*o + 1?
60*o**2 - 275712*o + 30
What is the second derivative of 121581*d**3*h - 11*d**3 - 6*d**2*h + 2*d**2 - 35592278*d*h wrt d?
729486*d*h - 66*d - 12*h + 4
Find the third derivative of 1046918*i**6 + i**4 + 2*i**2 - 19191773*i.
125630160*i**3 + 24*i
Differentiate 7871337*b*c - 2240678*b with respect to c.
7871337*b
Differentiate -15966*i**3*n + i**3 + 265*i**2 + 2*i + 173*n - 9 with respect to n.
-15966*i**3 + 173
Find the third derivative of 265*m**3*n**3 + 2*m**3*n - 2*m**3 + 3012*m*n**3 - 814194*m*n**2 wrt n.
1590*m**3 + 18072*m
Find the second derivative of 10*g*r**2*t**2 - 65*g*t**2 - 2*g*t - 5*g + 51430*r**2*t - 51*r*t**2 + r*t wrt t.
20*g*r**2 - 130*g - 102*r
What is the first derivative of 12223167*y**2 - 74455277?
24446334*y
What is the second derivative of -4169667*p**4 + 2*p**2 - 2113226*p?
-50036004*p**2 + 4
Differentiate 6664630*g**3 + 3945187.
19993890*g**2
What is the third derivative of 12335099*a**5 + 12*a**4 - 126*a**2 + 3*a + 155897 wrt a?
740105940*a**2 + 288*a
Find the second derivative of -100*a**2*w**2 + 13662*a**2*w + 2*a*w**3 + 4847*w**3 - 2*w - 55 wrt w.
-200*a**2 + 12*a*w + 29082*w
Differentiate n**3 + n**2 - 192883*n + 2583439.
3*n**2 + 2*n - 192883
Find the second derivative of -12642*g*o**3 - 10096*g*o**2 + 2*g*o - o**3 + 28537386 wrt o.
-75852*g*o - 20192*g - 6*o
Find the third derivative of -42*c**2*i**3 + 6*c**2*i**2 - 73*c**2*i - 3*c*i**2 - 5*c - 5*i**4 + 572057*i**3 + 6*i**2 + 20*i wrt i.
-252*c**2 - 120*i + 3432342
What is the third derivative of 25987*m**6 - 373*m**4 - m**3 - 90*m**2 + 142*m - 1005?
3118440*m**3 - 8952*m - 6
What is the second derivative of -8089666*k**4 + 7072636*k wrt k?
-97075992*k**2
Find the first derivative of 5588*k**2*n - 48*k*n + k - 26760*n - 615 wrt k.
11176*k*n - 48*n + 1
What is the second derivative of -3116*a**4 + a**3 - 70297*a**2 + 5702*a - 57208 wrt a?
-37392*a**2 + 6*a - 140594
Find the second derivative of -16*q**4*y + 150881*q**3*y - 2045295*q - 3*y wrt q.
-192*q**2*y + 905286*q*y
Find the third derivative of 19141*g**6 + 17*g**4 - 3*g**3 - 9618*g**2 - 2040.
2296920*g**3 + 408*g - 18
What is the second derivative of 99514127*n*p**2 - 352698*n*p - 10*n - p - 2 wrt p?
199028254*n
What is the second derivative of -37404290*t**2 - 68*t + 18508 wrt t?
-74808580
What is the third derivative of 7*a**6*j**3 - 149285*a**6 + 3*a**2*j**2 + 31894*a**2 - 4*a + 2*j**3 + 2*j**2 wrt a?
840*a**3*j**3 - 17914200*a**3
Find the third derivative of 75*t**5 + 68*t**4 + 138*t**3 + 3881806*t**2.
4500*t**2 + 1632*t + 828
What is the second derivative of 72835626*w**3 - 5*w + 32651390 wrt w?
437013756*w
Find the third derivative of 28*l*w**3 + 1294*l*w**2 - 13511*l - 5380588*w**3 wrt w.
168*l - 32283528
What is the third derivative of -2475*j**5 + 601*j**4 - 17*j**2 - 5960 wrt j?
-148500*j**2 + 14424*j
What is the second derivative of -876818*b**2 - 19*b - 193362?
-1753636
Find the third derivative of -43146819*z**3 + 12*z**2 - 2*z + 1804 wrt z.
-258880914
Differentiate -82118410*g - 80486921.
-82118410
What is the third derivative of -28733910*r**4 + r**2 + 17*r - 22325 wrt r?
-689613840*r
What is the first derivative of 5884*j**2*m**2*t - 2*j**2*m**2 - j*m + m**3*t - 8251710*m**3 - 2746*t wrt t?
5884*j**2*m**2 + m**3 - 2746
Find the third derivative of 2*t**5 + 1802*t**4 + 1472*t**3 + 86993015*t**2 wrt t.
120*t**2 + 43248*t + 8832
What is the second derivative of -b**3*x + 3*b**2*x - 2288115*b**2 - 22*b*x - 99*x - 33 wrt b?
-6*b*x + 6*x - 4576230
What is the second derivative of 50708184*u**3 + 13306348*u?
304249104*u
What is the second derivative of 368*b**3*s**3 + 14264*b**2*h*s**3 + 3*b*h*s**3 + 9*b*h*s + 11*b*h - 6883*h*s**3 + h*s wrt b?
2208*b*s**3 + 28528*h*s**3
Differentiate 5218723*k**3 - 2*k**2 + k + 61862790.
15656169*k**2 - 4*k + 1
Differentiate 31199819*v**2 + 22917248 wrt v.
62399638*v
Find the second derivative of -137834*b**4 - 16*b**3 - 4352941*b wrt b.
-1654008*b**2 - 96*b
What is the first derivative of 4*s**3 - 27024476*s**2 - 68117560 wrt s?
12*s**2 - 54048952*s
Find the second derivative of -360*a**3 + 853*a**2 + 3554670*a wrt a.
-2160*a + 1706
Find the third derivative of -202891800*u**3 - 4*u**2 + 17*u - 2426172.
-1217350800
What is the first derivative of -70684220*o**3 + 44373389?
-212052660*o**2
Find the first derivative of n*r**2 - 3*n*r - 8*n + 27*r**2 - 2564*r + 523083 wrt r.
2*n*r - 3*n + 54*r - 2564
What is the second derivative of -30639682*z**2 + 11770*z - 362?
-61279364
Find the second derivative of -2198529*l*p**2 - 2*l*p - 2*p**5 + 64363*p wrt p.
-4397058*l - 40*p**3
Find the third derivative of 9505456*n**3 + 937*n**2 - 2173 wrt n.
57032736
Differentiate 40616*o**3 - 6*o**2 + 567733 with respect to o.
121848*o**2 - 12*o
Find the third derivative of -3*p**6 + 1184524 | {
"pile_set_name": "DM Mathematics"
} |
3*j. Let y = 8 + g. Is z(y) composite?
False
Is (-4)/(-38) + (-3409596)/(-1007) a prime number?
False
Suppose 4*t - 3*p = -8*p + 28494, 4*t - 28490 = -3*p. Is t prime?
True
Let b = 19 - 9. Suppose -3*w - 1001 = -b*w. Is w prime?
False
Suppose -r + 3*q = 4*q - 30, 4*q = 2*r - 48. Let l be 2*8/12*3. Is r/21*42/l prime?
False
Is 5/25 - 46208/(-10) prime?
True
Let y(h) = 17*h - 7. Let q be y(1). Suppose 13*l - q*l = 3957. Is l a composite number?
False
Suppose -68221 = -9*a + 71630. Is a prime?
False
Suppose -20 + 151 = w + 3*x, 5*w - 699 = -4*x. Is w composite?
True
Let u(z) = -z**3 + 10*z**2 + 10*z + 9. Let w = 25 + -14. Let f be u(w). Is 1*(39 + (f - 0)) prime?
True
Suppose 4*p + 8 = 4*r - 12, -r = 4*p - 20. Let s be 8*(20/r - 2). Suppose 0 = -4*y - s*v + 204, 0 = -3*v - 11 + 26. Is y a composite number?
True
Suppose -2*z + 91186 = -3*s, 136809 = 3*z - 4*s + 7*s. Is z composite?
False
Suppose 0 = 3*j + 5*j + 3*j. Suppose -3*z + z + 2570 = j. Is z composite?
True
Let x(z) be the third derivative of z**6/360 + z**5/30 - 5*z**4/8 + z**3/6 + z**2. Let a(j) be the first derivative of x(j). Is a(12) prime?
False
Let z(m) = 32*m**2 - 6*m - 5. Is z(-1) a prime number?
False
Let q(o) = -3*o + 9. Let p be q(-4). Suppose 0 = -s + 4*f - p, -5*s + 8 = 5*f - 12. Is 2/s + 4 + 57 a prime number?
True
Let a(g) = 2*g - 10. Let q(r) = 4*r - 18. Let k(f) = -5*a(f) + 2*q(f). Suppose -8 = -2*h + 4. Is k(h) prime?
True
Suppose 3*v = -5*w + 32, -5*v + 20 = -2*w + 8. Suppose -9*l = -w*l - 13415. Is l prime?
True
Let s = 43 - 28. Is -753*((-40)/s - -2) a prime number?
False
Suppose -b = 134 - 4123. Is b prime?
True
Let t(q) = 56*q + 5. Let d(b) = b - 1. Let u(g) = -2*d(g) - t(g). Is u(-11) composite?
True
Is (-215454)/(-34) - 6/(-51) a prime number?
True
Suppose -2*d + 1 = -4*z + 9, 3*z = 3*d + 6. Suppose -3*o + x + 7 = -5*o, d = -3*o + 4*x - 27. Let r(s) = 5*s**2 + 6*s - 6. Is r(o) a prime number?
True
Let b be -3 - 0 - (0 - 9*15). Suppose l - b = 161. Is l composite?
False
Suppose -2*t = 39*n - 43*n + 3816, -4*t = -8. Is n a composite number?
True
Suppose 15807 = 12*o - o. Is o composite?
True
Let n = -4037 + 8128. Is n prime?
True
Let t be 18/(-27) + (-2)/(-3). Suppose -7*g + t*g + 1855 = 0. Is g prime?
False
Let w = 12 + -56. Is (-8655)/(-11) + (-8)/w a prime number?
True
Let a be 28/35 - (-32)/10. Is (-2696)/(-2)*((-34)/(-8) - a) composite?
False
Let i be 232 + -3 + 0/3. Let k = i + -108. Is k a prime number?
False
Suppose -4*p + 2982 = -5*n + 26, 3*p - 2222 = 5*n. Is p composite?
True
Let c = 2052 - 1428. Is c/4*15/2 + -1 prime?
False
Is 52082 - 7/(9 + -2) prime?
True
Let w = -25365 - -68158. Is w a composite number?
False
Let u be (-2 + 1 + 2)*1. Is -4 + (30 + -4)*u composite?
True
Let h be (-76)/10*(-10)/4. Suppose -64 = 15*f - h*f. Let c(v) = 3*v**2 - 22*v - 7. Is c(f) composite?
False
Suppose -224 = 2*z + 54. Let k = z - -536. Is k composite?
False
Let z(y) = 88*y**3 + 2*y**2 - 2*y + 1. Suppose 4*w = 3*p - 45, -2*p + 4*w + 30 = 8*w. Let f be p/12 + (-2)/8. Is z(f) a prime number?
True
Let x be (-2)/(-4)*(4 + -6). Let p(n) = -3*n**2 - n. Let w be p(x). Is 50 + w/((-4)/2) a prime number?
False
Let k = 0 + -5. Let q = 10 + k. Suppose -1059 = -q*t - r, -2*r + 864 = 4*t + 3*r. Is t a composite number?
False
Let x = -2488 + 7106. Is x a composite number?
True
Let l(n) = n**2 + 24*n + 4. Let q be l(-24). Suppose 2*h = -w + 983, -4*w + q*h + 1767 = -2225. Is w composite?
True
Suppose b + 3*b = 28. Suppose 0 = 4*g - b - 13. Is 746/g + 1/(-5) a prime number?
True
Let p = 715 - -1122. Is p a composite number?
True
Let n = 51416 - 36308. Suppose 7*z + 5*z - n = 0. Is z prime?
True
Suppose 2*s + 2*s - 16 = 0. Suppose -s*n + 5*t = 149, t - 134 = 5*n + 26. Let v = 43 - n. Is v composite?
True
Let n be (-5)/2*36/(-45). Suppose 20 = 2*f - t + 3*t, 3*f - 40 = n*t. Let g(u) = 2*u**2 - 12*u - 3. Is g(f) prime?
False
Let z = 3643 + -2530. Let s = z - -508. Is s a composite number?
False
Let b(u) = 101*u**3 + 2*u**2 - 31*u + 123. Is b(7) composite?
True
Suppose -m + 1 - 7 = 0. Let s be -2 + -5 - m/(-3). Is 2/s + 5243/63 composite?
False
Suppose 2*m + 3373 = 5*v - 2*m, -v + 677 = -2*m. Is v a prime number?
True
Let r(j) = 4*j**2 - j + 2. Let c be r(3). Is (c/15 - 3)*-669 a prime number?
False
Let l be 236/(-13) + (-14)/(-91). Let g be (l/27)/((-4)/42). Suppose 0 = 3*t + 4*w - 2363, -3*t - 3138 = -g*t + w. Is t a prime number?
False
Let c(t) = -t**3 + 8*t**2 + 28*t + 10. Let l(s) = -s**3 - 9*s**2 - 9. Let h be l(-9). Is c(h) composite?
True
Let p(u) = -11*u + 43. Let b be p(4). Is (-66484)/(-36) + b/(-9)*2 a composite number?
False
Let o(m) be the first derivative of -3*m**4/4 - 3*m**3 + m**2 - m + 1. Let f be ((-40)/(-20))/((-2)/7). Is o(f) composite?
True
Let m = -1709 - -4042. Is m a composite number?
False
Let f(c) = 915*c**2 + 7*c + 5. Is f(-1) composite?
True
Suppose -7821 = -4*a - 2*c + 118979, 5*a - 158489 = 3*c. Is a a prime number?
True
Suppose -24290 = -2*w + t, -5*t + 23953 = 2*w - 361. Is w prime?
False
Let x(b) = -b - 3. Suppose 0 = -4*j + 2*u - 16, -5*u + 0 = 4*j + 44. Let i be x(j). Suppose 0 = -i*o + 4*o - 37. Is o a composite number?
False
Let a = -20781 + 31233. Suppose 4*j - a = -4*g - 1552, 4*g + 2205 = j. Is j a prime number?
True
Let r = 921 - 20. Is r prime?
False
Suppose -36 = -3*j + l, -3*j + 4*l + 31 = 4. Let f = j - 8. Suppose h - 494 = -f*u - 51, -u = 4*h - 81. Is u composite?
False
Let x be (-5 - (-44)/6) + 1/(-3). Is 402 + (3 - x - -4) a prime number?
False
Is (-22)/(-77) + 270681/7 composite?
False
Let t(o) = -15*o - 1. Let d be t(-19). Let p = -112 + d. Suppose -p = 8*x - 2244. Is x prime?
False
Suppose 28 + 56 = 3*b. Let s = 645 + b. Is s prime?
True
Let r be 1 - 6*(-4)/(-3). Is (r/2)/(2/(-4)) prime?
True
Let d(t) = 102*t**2 + 3*t - 4. Is d(-5) a composite number?
False
Is (42590/5)/1 + -5 a prime number?
True
Suppose r + o = -7, 4 - 1 = -o. Is (0 - 4328/r)*3/6 a composite number?
False
Is (182694/16)/(54/(-72))*-2 prime?
True
Is (((-15108)/(-9))/1)/((-16)/(-12)) a composite number?
False
Let c be (-18)/(4*1/(-2)). Let f = c - 6. Suppose -2*a + 5*d + 53 = 0, 5*d + 67 = f*a - 0. Is a a composite number?
True
Let j(u) = -33*u - 11. Suppose 3*w - 11 = -h - h, -w = -4*h - 27. Suppose p + 1 + w = 0. Is j(p) composite?
True
Suppose -5*n - 1811 + 8306 = 0. Is n a prime number?
False
Let p be ((-12)/15)/((-10)/75). Suppose -w - 4*h = 442, p*w - h + 1339 = 3*w. Is w/(-6)*(-72)/(-24) prime?
True
Suppose 4*z = 3*z + 3*z. Suppose -2*n - 4*t + 1457 + 457 = z, 0 = -3*n - 2*t + 2887. Is n a prime number?
False
Let k = -18309 - -57670. Is k a prime number?
False
Suppose 5*x - 28509 - 6476 = 0. Is x composite?
False
Suppose 2*q - 19828 = -2*q. Is q a composite number?
False
Let j = 5884 + 866. Suppose f - j = 3655. Is f prime?
False
Let k = -219014 + 375433. Is k a composite number?
False
Let r(q) = -3*q - 21. Let j be r(-7). Suppose 8616 = 4*y + u, y + 4*u = -j*y + 2169. Is y prime?
True
Let j(g) = -g**2 - 10*g - 12. Let h be j(-8). Let c = h - 5. Is 4*(0 - c)*1 prime?
False
Let t(y) = y**3 + 5*y**2 + 2*y - 4. Let n = -8 + 5. Let p be t(n). Suppose u + 2*o = 303, -5*o + 12 = -p. Is u a prime number?
False
Suppose 0 = 5*i - 989 - 831. Suppose 0*w = -w - 4, v = 3*w - i. Let j = v - -1067. Is j a prime number?
True
Let p(h) = 6794*h + 151. Is p(3) a prime number?
True
Suppose 0*b - 2*b = 4*o - 4968, 0 = -4*b - 16. Is (-1)/(-3)*(o + 13) a prime number?
True
Let x(g) = -44*g + 16. Let k be x(-6). Is 3434/7 + -15*(-8)/k composite?
False
Suppose 3*r = 577 + 68. Let l = 84 + r. Is l a composite number?
True
Let r(n) be the first derivative of -55*n**2/2 + 3*n - 45. Is r(-4) a composite number?
False
Let z(v) = 758*v**3 + 2*v**2 - 1. Let p be z(-1). Suppose -5*a + 5986 = -4*u, 16*a - 1178 = 15*a - 4*u. Let b = p + a. Is b prime?
False
Let y(v) be the third derivative of 127*v**5/30 + v**4/24 - v**3/2 + 3*v**2. Let b be y(2). Suppose -b = -0*d - 5*d. Is d composite?
True
Let v be 1/(-4) + (-19347)/(-12). Suppose -2*f + 2690 = -v. Is f/33 + (-2)/11 a composite number?
True
Let f be 4 - 4*(-5)/(-4). Let i be (3 - f)*(-3)/(-4). Is (-2)/i - 6586/(-6) a prime number?
True
Let j(l) = 1894*l + 685. Is j(22) prime?
False
Let i = -7325 - -21304. Is i prime?
False
Suppose w = 4*n | {
"pile_set_name": "DM Mathematics"
} |
85*q**2 + 405*q + 270.
-5*(q - 3)**3*(5*q + 2)
Suppose h**4/3 - 8*h**3 - h**2/3 + 8*h = 0. What is h?
-1, 0, 1, 24
Determine w, given that 8*w**5/13 - 32*w**4/13 - 54*w**3/13 + 162*w**2/13 + 216*w/13 = 0.
-3/2, 0, 3, 4
Factor -2*m**5/11 - 118*m**4/11 - 1680*m**3/11.
-2*m**3*(m + 24)*(m + 35)/11
Determine t so that 2*t**5/5 - 33*t**4/5 + 139*t**3/5 - 207*t**2/5 + 99*t/5 = 0.
0, 1, 3/2, 3, 11
Find f, given that -5*f**4 + 4885*f**3 + 9785*f**2 + 4895*f = 0.
-1, 0, 979
Suppose -x**3/6 - 2*x**2/3 - 5*x/6 - 1/3 = 0. What is x?
-2, -1
Determine f, given that 4*f**3 - 116*f**2 - 260*f + 372 = 0.
-3, 1, 31
Factor f**5 - f**4 - 15*f**3 + 9*f**2 + 54*f.
f*(f - 3)**2*(f + 2)*(f + 3)
Determine r so that -r**2/10 - 9*r/10 + 11/5 = 0.
-11, 2
Let v**2 + 107*v + 210 = 0. Calculate v.
-105, -2
Determine g so that g**4/3 - 62*g**3 + 2883*g**2 = 0.
0, 93
Factor p**2/2 + 8279*p + 68541841/2.
(p + 8279)**2/2
Find o, given that 2*o**3/13 + 32*o**2/13 - 2*o/13 - 32/13 = 0.
-16, -1, 1
Let 3*f**2/4 - 273*f/4 + 135/2 = 0. Calculate f.
1, 90
Factor -55*s**3 - 305*s**2 + 180*s + 180.
-5*(s - 1)*(s + 6)*(11*s + 6)
Factor 8*x**3/9 + 56*x**2/3 + 18*x + 40/9.
2*(x + 20)*(2*x + 1)**2/9
Factor f**4/3 - 11*f**3/3 - 4*f**2.
f**2*(f - 12)*(f + 1)/3
Suppose -4*q**5/5 - 776*q**4/5 - 34336*q**3/5 + 327208*q**2/5 + 6868*q - 326432/5 = 0. Calculate q.
-101, -1, 1, 8
Factor 2*u**4/7 + 10*u**3/7 - 38*u**2/7 - 130*u/7 + 300/7.
2*(u - 3)*(u - 2)*(u + 5)**2/7
Solve 2*g**3/3 - 20*g**2/3 + 14*g = 0.
0, 3, 7
Factor h**2 + 6*h + 5.
(h + 1)*(h + 5)
Solve -n**4/6 + 3*n**3/2 - 13*n**2/6 - 3*n/2 + 7/3 = 0 for n.
-1, 1, 2, 7
Factor -9*f**2/2 - 105*f/4.
-3*f*(6*f + 35)/4
Factor v**5/6 - 4*v**4/3 + 3*v**3 - 9*v/2.
v*(v - 3)**3*(v + 1)/6
Factor m**2/2 - 57*m/2 + 175.
(m - 50)*(m - 7)/2
Factor -2*f**4 - 168*f**3 - 320*f**2 + 672*f + 1312.
-2*(f - 2)*(f + 2)**2*(f + 82)
Determine m so that 8*m**3/5 - 238*m**2/5 - 308*m/5 - 62/5 = 0.
-1, -1/4, 31
Factor s**5/4 + 75*s**4/4 + 72*s**3 + 71*s**2.
s**2*(s + 2)**2*(s + 71)/4
Find x such that -x**4/6 + 8*x**3/3 + x**2/2 - 23*x/3 - 16/3 = 0.
-1, 2, 16
Factor 15*v**4 + 10*v**3 - 20*v**2 - 10*v + 5.
5*(v - 1)*(v + 1)**2*(3*v - 1)
Determine p, given that -5*p**5 + 85*p**3 - 180*p**2 + 100*p = 0.
-5, 0, 1, 2
Suppose 2*q**3/3 + 124*q**2/3 - 2*q/3 - 124/3 = 0. Calculate q.
-62, -1, 1
Determine r, given that -r**5 + 5*r**4 - 4*r**3 = 0.
0, 1, 4
Suppose -2*a**4/7 - 596*a**3/7 - 43802*a**2/7 + 89400*a/7 - 45000/7 = 0. Calculate a.
-150, 1
Suppose -4*a**5/5 - 272*a**4/5 + 1128*a**3/5 - 1712*a**2/5 + 1148*a/5 - 288/5 = 0. What is a?
-72, 1
Determine m so that m**4 - 45*m**3 + 85*m**2 + 45*m - 86 = 0.
-1, 1, 2, 43
Factor 2*f**2 + 1912*f - 3832.
2*(f - 2)*(f + 958)
Determine r so that 432*r**4/7 + 360*r**3/7 - 51*r**2 - 360*r/7 - 75/7 = 0.
-1, -5/12, 1
What is n in 3*n**3/5 + 9*n**2/5 - 138*n/5 + 216/5 = 0?
-9, 2, 4
Solve -6*t**4/5 + 26*t**3/5 + 9346*t**2/5 + 6206*t/5 - 3108/5 = 0.
-37, -1, 1/3, 42
Factor o**3/2 - 533*o**2/2 + 531*o.
o*(o - 531)*(o - 2)/2
Factor 2*j**2/3 + 956*j/3 + 114242/3.
2*(j + 239)**2/3
Find p, given that p**3/7 + 104*p**2/7 + 404*p/7 + 400/7 = 0.
-100, -2
Find n, given that -2*n**2/15 - 4448*n/15 - 2473088/15 = 0.
-1112
Factor -4*q**2/5 + 172*q/5.
-4*q*(q - 43)/5
Determine f, given that f**3 - 365*f**2 + 727*f - 363 = 0.
1, 363
Factor -15*k**2 + 81*k - 30.
-3*(k - 5)*(5*k - 2)
Let 4*w**3 - 340*w**2 = 0. Calculate w.
0, 85
Let 14*y**3/5 - 38*y**2/5 - 68*y/5 - 16/5 = 0. Calculate y.
-1, -2/7, 4
Let -a**4/4 + 311*a**3/4 - 155*a**2/2 = 0. Calculate a.
0, 1, 310
Find l, given that -2*l**5/5 + 4*l**4/5 + 8*l**3/5 - 4*l**2/5 - 6*l/5 = 0.
-1, 0, 1, 3
What is s in -5*s**4/6 + 5*s**3/6 + 10*s**2/3 - 10*s/3 = 0?
-2, 0, 1, 2
Let 405*s**2 - 180*s + 20 = 0. Calculate s.
2/9
Find n such that -2*n**4 - 104*n**3 - 736*n**2 - 1408*n = 0.
-44, -4, 0
Factor -r**2/8 + r + 9/8.
-(r - 9)*(r + 1)/8
Solve -w**3/7 + 19*w/7 - 30/7 = 0.
-5, 2, 3
Factor 3*b**3 + 51*b**2 - 243*b + 189.
3*(b - 3)*(b - 1)*(b + 21)
What is v in 5*v**3 - 215*v**2 + 410*v = 0?
0, 2, 41
Find a, given that -a**3 - 3*a**2 = 0.
-3, 0
Find i such that 18*i**3/5 - 30*i**2 + 176*i/5 - 56/5 = 0.
2/3, 7
Factor 2*a**2/13 - 4*a + 26.
2*(a - 13)**2/13
Solve -3*d**5 - 33*d**4 - 75*d**3 + 201*d**2 + 510*d - 600 = 0.
-5, -4, 1, 2
Find u, given that -10*u**4/9 - 118*u**3/9 - 112*u**2/3 + 8*u = 0.
-6, 0, 1/5
Let -2*g**3/5 + 136*g**2/5 - 1254*g/5 = 0. Calculate g.
0, 11, 57
Factor -2*q**2 - 72*q + 152.
-2*(q - 2)*(q + 38)
Determine w so that 4*w**5 - 516*w**4 + 14184*w**3 + 156600*w**2 + 499284*w + 514188 = 0.
-3, 69
Factor -p**4/9 - 22*p**3/9 - 55*p**2/3 - 500*p/9 - 500/9.
-(p + 2)*(p + 5)**2*(p + 10)/9
Factor 2*b**5/15 - 72*b**4/5 + 544*b**3 - 120224*b**2/15 + 157216*b/5.
2*b*(b - 34)**3*(b - 6)/15
Determine q so that -82*q**3/5 + 86*q**2/5 - 4*q/5 = 0.
0, 2/41, 1
Factor -5*u**3 + 765*u**2 - 28080*u - 91260.
-5*(u - 78)**2*(u + 3)
Factor -2*u**4/7 - 804*u**3/7 - 106920*u**2/7 - 656100*u + 14762250/7.
-2*(u - 3)*(u + 135)**3/7
Find u such that 2*u**2/9 + 40*u/3 + 832/9 = 0.
-52, -8
Determine x, given that 5*x**2 + 480*x + 11520 = 0.
-48
Factor -3*n**2/5 - 30*n - 423/5.
-3*(n + 3)*(n + 47)/5
Determine f, given that -f**2/3 - 7*f/3 + 6 = 0.
-9, 2
Let -14*l**5/9 - 22*l**4/9 + 16*l**3/3 + 88*l**2/9 + 32*l/9 = 0. What is l?
-2, -1, -4/7, 0, 2
Let 5*b**5 + 30*b**4 + 45*b**3 + 20*b**2 = 0. What is b?
-4, -1, 0
Factor 4*y**5 - 96*y**4 + 472*y**3 + 1248*y**2 + 676*y.
4*y*(y - 13)**2*(y + 1)**2
Factor -s**5/2 + 3*s**4/2 + 3*s**3 - 5*s**2 - 21*s/2 - 9/2.
-(s - 3)**2*(s + 1)**3/2
Find r such that r**2/5 + r/5 = 0.
-1, 0
Factor -2*l**4/3 - 32*l**3/3 + 70*l**2/3 - 12*l.
-2*l*(l - 1)**2*(l + 18)/3
Factor -i**3 + 118*i**2 - 3481*i.
-i*(i - 59)**2
Determine i, given that -5*i**2 + 50*i = 0.
0, 10
Solve 5*u**2 + 9690*u + 4694805 = 0.
-969
Factor 2*b**3 - 16*b**2 - 122*b - 104.
2*(b - 13)*(b + 1)*(b + 4)
Factor -h**2/6 + 1409*h/3 - 1985281/6.
-(h - 1409)**2/6
Determine y so that -2*y**3/9 - 32*y**2/9 - 26*y/3 = 0.
-13, -3, 0
Let 32*m**5/7 + 48*m**4/7 - 46*m**3/7 - 30*m**2/7 - 4*m/7 = 0. What is m?
-2, -1/4, 0, 1
Factor 242*b**3/3 + 286*b**2/3 + 46*b/3 + 2/3.
2*(b + 1)*(11*b + 1)**2/3
What is l in 2*l**2/3 + 20*l/3 + 14 = 0?
-7, -3
Solve -20*y**3 - 300*y**2 - 285*y + 7220 = 0.
-19/2, 4
Solve -j**2/5 + 37*j/5 + 38/5 = 0.
-1, 38
Factor -2*o**4 + 22*o**3 + 52*o**2.
-2*o**2*(o - 13)*(o + 2)
Determine p, given that -4*p**4 + 48*p**2 + 64*p = 0.
-2, 0, 4
Factor n**4 - 14*n**3/3 - 7*n**2/3 + 10*n/3.
n*(n - 5)*(n + 1)*(3*n - 2)/3
Factor -h**2 - 4926*h - 6066369.
-(h + 2463)**2
Factor 4*i**5/3 - 32*i**4/3 + 64*i**3/3 + 24*i**2 - 108*i + 72.
4*(i - 3)**3*(i - 1)*(i + 2)/3
Find i such that 4*i**3 + 20*i**2 + 16*i = 0.
-4, -1, 0
Factor 2*w**2/9 + 118*w/9 + 76/3.
2*(w + 2)*(w + 57)/9
Factor r**2/4 + 1125*r/2 + 1265625/4.
(r + 1125)**2/4
Solve 2*h**5 + 14*h**4 + 32*h**3 + 16*h**2 - 32*h - 32 = 0.
-2, 1
Factor 2*p**5/5 - 18*p**4/5 + 52*p**3/5 - 68*p**2/5 + 42*p/5 - 2.
2*(p - 5)*(p - 1)**4/5
Let -2*w**5 + 8*w**4 + 10*w**3 - 40*w**2 - 8*w + 32 = 0. What is w?
-2, -1, 1, 2, 4
Solve v**2/7 + 11*v/7 + 10/7 = 0 for v.
-10, -1
Determine v so that -4*v**3/3 - 148*v**2 - 4180*v - 12100/3 = 0.
-55, -1
Suppose 5*s**3 + 1065*s**2 - 2145*s + 1075 = 0. Calculate s.
-215, 1
Determine j, given that -15*j**2 + 21*j - 6 = 0.
2/5, 1
Find q such that -q**2/4 + 9*q/2 - 14 = 0.
4, 14
Find s, given that -15*s**2/4 + 107*s/2 - 14 = 0.
4/15, 14
What is g in -2*g**4 + 8*g**3 + 602*g**2 - 608*g = 0?
-16, 0, 1, 19
Factor -3*l**4/8 + 93*l**3 - 5382*l**2 - 47616*l - 98304.
-3*(l - 128)**2*(l + 4)**2/8
Factor m**4 - 91*m**3/3 + 39*m**2 - 29*m/3.
m*(m - 29)*(m - 1)*(3*m - 1)/3
Factor 5*p**2 - 11380*p + 11375.
5*(p - 2275)*(p - 1)
Factor -y**3 - 8*y**2 - 12*y.
-y*(y + 2)*(y + 6)
Determine b, given that 2*b**5/9 - 10*b**4/9 + 4*b**3/9 + 28*b**2/9 - 2*b/3 - 2 = 0.
-1, 1, 3
Suppose 4*h**4 + 1064*h**3 + 73876*h**2 + 414960*h + 608400 = 0. What is h?
-130, -3
Factor -l**3/5 + 2*l**2/5 + 3*l/5.
-l*(l - 3)*(l + 1)/5
Factor -15*y**2 + 130*y + 45.
-5*(y - 9)*(3*y + 1)
Let -3*d**2/5 + 252*d/5 - 5292/5 = 0. Calculate d.
42
Factor -5*m**2 - 65*m + 150.
-5*(m - 2)*(m + 15)
Factor -4*h**2 - 104*h - 480.
-4*(h + 6)*(h + 20)
Find m, given that m**5/3 + 23*m**4/3 - 34*m**3 + 158*m**2/3 - 107*m/3 + | {
"pile_set_name": "DM Mathematics"
} |
t d(z) = -z**3 - 3*z**2 - 3*z - 5. Let i be d(-3). Suppose -i*s + 664 = 4*s. Is 10 a factor of s?
False
Let g(w) = -10*w + 51. Is g(-3) a multiple of 7?
False
Suppose 2*w - 4*y = 10, 4*w - 4*y - 3 = 5. Is 30 a factor of w/4 + (-121)/(-4)?
True
Suppose -7969 = -17*k + 2248. Is k a multiple of 53?
False
Suppose 3*i + 2*i - 10 = 0. Let u be ((-3)/i)/(9/24). Is u - (1 - 1 - 18) even?
True
Suppose -1403 - 1882 = -9*c. Does 5 divide c?
True
Does 2 divide -3 - (-45 + 5 + 4)?
False
Let y(h) = 4*h - 7. Let f(j) = -3*j + 7. Let b(m) = 3*f(m) + 2*y(m). Does 3 divide b(-5)?
True
Let o(l) = -l**2 - 77*l + 459. Is o(-51) a multiple of 21?
True
Suppose -4*m = -5 + 25. Let d be 7 + m + 18/(-2). Is (d + 3)*34/(-4) a multiple of 7?
False
Suppose -36*b + 11*b = -3675. Is b a multiple of 49?
True
Suppose 24 = 3*k - 0. Let j be 6 - (-2)/(k/(-12)). Suppose -j*z + 5*z = 192. Is 24 a factor of z?
True
Let f(d) = d**2 + 4*d - 1. Let i(q) = -q + 17. Let h be i(13). Suppose -h*w - 15 = -7*w. Is 19 a factor of f(w)?
False
Let z = 3379 + -1917. Does 21 divide z?
False
Suppose -5*n = -3*n - 16. Suppose -2 - n = -w. Does 4 divide w?
False
Suppose 0 = -10947*g + 10942*g + 1740. Does 11 divide g?
False
Let f = -592 + 720. Is f a multiple of 9?
False
Suppose -36*b = -34*b - 66. Suppose -11*y + 10*y = -b. Is 5 a factor of y?
False
Let c be (-1)/(-2) + (-27)/(-6). Let p be (2/c)/(2/(-70)). Let r(j) = -j**3 - 13*j**2 + 8*j + 11. Does 19 divide r(p)?
True
Let w = 39 - 47. Let d(m) = -15*m + 18. Does 14 divide d(w)?
False
Is 1337 + 6/12*-8 a multiple of 31?
True
Let f(j) = -92*j**3 + j**2. Let g be f(-1). Suppose -58 = 4*m + 3*b - 153, 2*m + 2*b = 46. Let x = g - m. Does 14 divide x?
False
Let w = -434 + 595. Is 99 a factor of w?
False
Let j = 100 + -24. Let a = 129 - j. Suppose 2*t = -t - 3*n + 177, -t = -n - a. Is t a multiple of 17?
False
Suppose -21 = 2*p - 5*p. Let a be 32/(-14) - (-2)/p. Is 31 a factor of (-657)/(-21) - a/(-7)?
True
Suppose 8*m = 11*m - 10500. Is 50 a factor of m?
True
Suppose -563 = -9*j + 274. Let i = j - -287. Is 38 a factor of i?
True
Let a(i) = -2 - 15*i**2 - 2*i**3 - 13*i + 6 + i**3 + 11*i**2. Is a(-6) a multiple of 22?
True
Suppose -z + 5 = 4*z. Let v be 2 - ((-3 - -20) + z). Does 13 divide v/(-1) + 12/(-4)?
True
Let f(q) = 6*q**2 - 127*q + 3. Let y be f(21). Let l be 60 + 1 - 1*-1. Let p = l - y. Is 20 a factor of p?
True
Let h(u) = 55*u**2 - 2*u - 3. Does 7 divide h(-1)?
False
Suppose -4 = -4*v + 2*v. Let u(q) = 8*q**2 - 8*q - 6. Let x be u(3). Suppose -3*c = -z - 0*c + x, -v*z = -5*c - 84. Does 14 divide z?
True
Let g(p) = -3*p - 41. Let d be g(-16). Suppose -9*r = d*r - 3072. Is r a multiple of 12?
True
Suppose -10*k + 202 = -138. Let u(o) = o**2 + 2*o + 2. Let w be u(-2). Suppose -3*r + k = -w. Does 5 divide r?
False
Let i(o) = -42*o**2 + 12*o + 12. Let a(x) = x**2 - x - 1. Let s = -21 + 20. Let j(h) = s*i(h) - 10*a(h). Is j(-1) a multiple of 16?
True
Suppose 5*c - 545 - 665 = 0. Let w = c - 160. Let y = -43 + w. Does 13 divide y?
True
Let z(i) = -i**3 - 12*i**2 + 12*i - 9. Let o be z(-13). Does 4 divide -1 - (0 - o - 6)?
False
Let f be 1 - -17 - (13 - 11). Suppose f = 11*a - 9*a. Does 3 divide a?
False
Let r = 47 + -32. Suppose 2*c - 24 = -3*c - 4*f, 4*c - f - r = 0. Is (c/(-6))/((-6)/261) a multiple of 19?
False
Let v(f) = -93*f + 1 - 104*f + 46*f. Does 38 divide v(-1)?
True
Suppose -11*s + 1534 = 2*s. Let b = -82 + s. Does 9 divide b?
True
Let o = -26 - -28. Suppose 0 + 4 = -o*p. Is 3 a factor of 6/p - 0 - -12?
True
Suppose -2*c + 113 = -c + r, 6 = 2*r. Let u(x) = -x**3 - 6*x**2 + 3*x + 3. Let f be u(-6). Does 9 divide c/f*6/(-4)?
False
Suppose 2 = -5*n - 4*a, 2*n - a + 1 = 4*n. Suppose -n*x + 6*x + 20 = 0, 5*w + 5*x - 430 = 0. Does 13 divide w?
True
Suppose 5*n - 121 = 3*r + 117, 5*n - 5*r - 230 = 0. Let l = n - 40. Is 5 a factor of l?
True
Let a be ((-24)/(-9))/(1/(-6)). Let l(y) = -y**3 - 17*y**2 - 20*y - 7. Does 19 divide l(a)?
True
Let w = -335 - -753. Does 19 divide w?
True
Let b(s) = -3*s + 6. Let h be b(4). Let g be (21/h)/(4/8). Is (-2)/g + (-580)/(-28) a multiple of 21?
True
Let w(o) = -o**2 - 13*o - 9. Suppose 5*l + 4 + 6 = 0. Let t be -10 - l - 1/1. Is 12 a factor of w(t)?
False
Suppose 2*t + 6*u - 8*u - 470 = 0, 2*t - 455 = 5*u. Is t a multiple of 30?
True
Let y be (-8)/(-6) + (-4)/(-6). Let t = y + 67. Is t a multiple of 45?
False
Suppose -6 = -0*k - 3*k. Suppose 0 = 2*y - u - 5, -3*y = -5*y + k*u + 6. Suppose 0 = -3*d - 3*l, 0 = y*d - 3*l - 23 - 2. Is d even?
False
Let k = -1000 + 1042. Is k a multiple of 2?
True
Is ((-4)/(-6)*-40)/((-36)/6372) a multiple of 59?
True
Let b(n) = 2*n**2 + 7*n - 10. Suppose u = 5*d + 15, u = 3*u - d + 15. Let t be b(u). Suppose -4*h + t = -8. Is h a multiple of 16?
True
Let p = -3712 + 5246. Does 9 divide p?
False
Suppose 199*i - 242*i = -29240. Is 34 a factor of i?
True
Let q(x) = -x**3 - x**2 + x + 5. Let p be q(0). Suppose -4*a + p*n + 961 = 0, -3*n + 0 - 15 = 0. Is a a multiple of 26?
True
Let h = -781 - -896. Is h a multiple of 23?
True
Let m be (2/5)/((-14)/(-1085)). Let w = m - 20. Does 3 divide w?
False
Let c(w) = -109*w + 24. Is 9 a factor of c(-1)?
False
Let d = -140 + 256. Is d a multiple of 29?
True
Suppose -4*c = a - 205, -12 = -c + a + 33. Suppose 0 = 3*b - c - 70. Is 10 a factor of b?
True
Let n(s) = 2*s**2 + 9*s - 5. Does 16 divide n(11)?
True
Suppose -5*u - 14 = 9*u. Let m = 13 + u. Is 6 a factor of m?
True
Let f(t) = 7*t - 7. Suppose 0 = -3*j - 5*s + 2 - 0, 0 = -3*s - 6. Suppose 0 = -0*x - j*x - 4*k + 44, k = -5*x + 39. Is f(x) a multiple of 11?
False
Suppose 25 = 2*g - 7*g. Let o(r) be the second derivative of r**4/12 - r**3/6 - 7*r**2/2 + 2*r. Does 23 divide o(g)?
True
Suppose 0 = -5*i + 8 + 2. Suppose -18 = -2*o - i*d, o + 48 = 6*o + 2*d. Is 10 a factor of o?
True
Does 12 divide (-1)/7 + (-4 - (-4426)/14)?
True
Let k(w) = 3*w**3 + 6*w**2 + 5. Let p be k(-5). Let h = 410 + p. Is 19 a factor of h?
True
Suppose -589 = -3*w + 62. Suppose 4*i = 2*p + w + 57, -268 = -4*i + 4*p. Does 16 divide i?
False
Let s(i) = -158*i - 44. Is s(-4) a multiple of 84?
True
Let s be (-12)/(-4) + 0/1. Let b = s - -1. Suppose -b*p + 23 - 3 = 0. Does 5 divide p?
True
Is (-240)/(-39) + 20/(-130) - -759 a multiple of 17?
True
Suppose -i = -4*m - 19, -3*i + 5*m + 26 = -3. Suppose -x + i*t + 9 = -8, -4*x - t = -133. Is 4 a factor of x?
True
Suppose -2*r + 560 = 3*r. Is r a multiple of 16?
True
Let v = 27 - -6. Suppose -4*r - v = -r. Let k = -7 - r. Does 4 divide k?
True
Does 17 divide (-18 + 9/9)*-29?
True
Let c = -1307 + 1467. Does 5 divide c?
True
Let h be ((-1)/(-3))/(3/9). Suppose -h = -3*b - 55. Let t = -8 - b. Is t a multiple of 4?
False
Suppose 2077 + 8633 = 7*h. Is h a multiple of 18?
True
Suppose 9*r - 12 = 12*r, 2*i + r = 692. Is 16 a factor of i?
False
Does 11 divide (1573/(-26))/(1/(-6))?
True
Does 12 divide ((-1676)/10)/((-62)/155)?
False
Suppose -4*h + 6*h - 111 = 5*f, f - 189 = -4*h. Suppose -3*n - 4*l = 8, l + 4 - 2 = -n. Suppose 5*d - d - h = n. Is d a multiple of 4?
True
Let m = -22 - -19. Is (-87)/m - 2/(-2) a multiple of 11?
False
Let k = 18 - -14. Suppose 5*t - k = 4*t. Is t a multiple of 3?
False
Let b(z) = z**3 + 26*z**2 + 13. Is 6 a factor of b(-26)?
False
Suppose -24*p = -1240 - 440. Does 4 divide p?
False
Let h = -45 + 63. Suppose 3*l + h = 300. Suppose 0*g - 5*g - 2*u + l = 0, 4*g - 2*u - 68 = 0. Is 4 a factor of g?
False
Let t(y) = -221*y - 2. Does 20 divide t(-1)?
False
Let v(p) = 20*p**2 + 22*p + 184. Is 20 a factor of v(-6)?
False
Suppose t - 1307 + 395 = 0. Is t a multiple of 76?
True
Let b(u) = -575*u**3 + 3*u**2 + 27*u + 25. Is b(-1) a multiple of 14?
False
Let a = 10 - 8. Suppose -4*l + 3*f + 32 = -a*f, -5*l - 1 = 4*f. Suppose 4*g - l*r - 89 + 9 = 0, -5*g = -r - 100. Is 10 a factor of g?
True
Let p(s) = -s**3 + s + 3. Let m be p(3). Let g = m + 20. Does 14 divide 14 - (-2 - (g - 1))?
True
Suppose -2*u + 7*u + 69 = -4*k, 3*k - 2*u = -69. Let t be (-18)/(-90) + k/5. Is t/((20/25)/(-2)) a multiple of 5?
True
Let r = 2 - -2. Let n(v) = -7*v - 105. Let a be n(-30). Suppose -7*z + a = -r*z. Is 9 a factor of z?
False
Let w = 53 - 46. Suppose 0 = -13*g + w*g + 336. Does 14 divide g?
True
Suppose -5*s = -0*s - 35. Let p be (-1 - 1)/2 - s. Is (12/8)/((-2)/p) a multiple of 3?
True | {
"pile_set_name": "DM Mathematics"
} |
hich is the second smallest value? (a) 3 (b) -4 (c) 15 (d) 2
d
What is the third biggest value in 0.16, 5, 2?
0.16
Which is the second biggest value? (a) 0 (b) 1/19 (c) 2
b
What is the second smallest value in 2/31, -5/22, 0.2?
2/31
Which is the second smallest value? (a) -4 (b) -0.3 (c) -10.1 (d) -0.4 (e) 1/5
a
What is the smallest value in 2, -5, 27/28?
-5
Which is the smallest value? (a) 0.072 (b) 0 (c) 2 (d) -4 (e) 0.4
d
What is the second smallest value in -2/15, 5, -8.37, -1?
-1
Which is the third smallest value? (a) -380 (b) -4 (c) 1/3
c
What is the biggest value in -0.1, 1.19, 4/5?
1.19
What is the second smallest value in -7, 0, 5, -26/3?
-7
Which is the second smallest value? (a) 0 (b) -266 (c) 0.1 (d) -2
d
Which is the third smallest value? (a) 12/29 (b) 0.4 (c) -0.3
a
Which is the biggest value? (a) 0.9 (b) -5 (c) 22
c
What is the third smallest value in -2, -0.4, 0.4, -11, -0.1?
-0.4
What is the second biggest value in -5, 300, -4?
-4
What is the fifth smallest value in 38, -3/2, -2, 2, 1?
38
What is the third smallest value in 0, 0.2, 1, -1?
0.2
Which is the fourth smallest value? (a) -5.7 (b) -1/5 (c) 0.12 (d) -0.3
c
Which is the second biggest value? (a) 0.14 (b) -2/15 (c) -2/35
c
Which is the biggest value? (a) 28/9 (b) 1/10 (c) -4
a
What is the biggest value in -0.94, -0.08, -0.4?
-0.08
What is the second biggest value in 2/3, 8/7, -1/4?
2/3
Which is the third smallest value? (a) 1/34 (b) 4 (c) -3 (d) 1
d
What is the fifth smallest value in -5/2, -12.7, 0.3, -0.41, 3?
3
Which is the second smallest value? (a) 26 (b) -1/5 (c) -7/5
b
What is the fourth smallest value in 4, -16, -1, -0.1, -6/11?
-0.1
Which is the second smallest value? (a) -2 (b) -5 (c) 0.39 (d) -4/7
a
Which is the biggest value? (a) 4 (b) -0.3752 (c) 1/3
a
Which is the fifth smallest value? (a) -2 (b) -3 (c) 0.4 (d) 20/9 (e) -1/3
d
What is the smallest value in 5, 2/7, -0.4, 6/11?
-0.4
What is the smallest value in 5/7, -2, 1/5, -0.1?
-2
What is the second smallest value in -0.4, -86, 5?
-0.4
What is the third biggest value in -2/13, -8, 1/5, -2/9?
-2/9
Which is the second smallest value? (a) -1 (b) 5921 (c) 2/3
c
What is the second smallest value in 2, -1/2, -8, -2, 8?
-2
Which is the fourth biggest value? (a) 0.2 (b) 0.3 (c) -4 (d) 2/5
c
Which is the second smallest value? (a) -0.4 (b) -18 (c) 5 (d) 1
a
What is the smallest value in 0.1, -4, 2, 2/195, 2/7?
-4
What is the second smallest value in 2, -350/9, 4?
2
Which is the third biggest value? (a) 91 (b) 0.1 (c) 0.2 (d) 2
c
What is the third biggest value in -0.02, -2/11, 91/5, 0?
-0.02
Which is the biggest value? (a) 1 (b) -0.7 (c) 2 (d) 1/14
c
What is the biggest value in -0.2, 783, 0.4, 0.2?
783
What is the third biggest value in 4, -20, -1.1, -14/9, 0.4?
-1.1
What is the third biggest value in -0.5, -587, 0.5?
-587
What is the fourth smallest value in 1/4, 30, -1/3, 0.01?
30
What is the second biggest value in 0.034, 0.08, 0.2?
0.08
What is the fourth smallest value in -0.6, -5, 4, -36/5?
4
What is the third biggest value in -0.01, -2, 3, -4.8, 2/41?
-0.01
Which is the third smallest value? (a) -1 (b) 6 (c) 0.5
b
Which is the biggest value? (a) 4 (b) -186 (c) 0.4
a
What is the third biggest value in 4, 861, -0.1?
-0.1
What is the second biggest value in 7, -0.1, 0.21?
0.21
What is the second biggest value in -6, -10, -2/7?
-6
Which is the third biggest value? (a) 3 (b) 25 (c) 1 (d) -4 (e) 0
c
Which is the second smallest value? (a) -1.6 (b) -0.2 (c) -3 (d) 119 (e) 0.2
a
Which is the third biggest value? (a) 9 (b) -12.7 (c) 0.5
b
What is the third biggest value in 5, 2, -2?
-2
Which is the third smallest value? (a) 46 (b) 2.8 (c) -4 (d) 3
d
Which is the biggest value? (a) -4 (b) -379 (c) 0.4
c
Which is the fifth smallest value? (a) 5 (b) -0.02 (c) 7 (d) 10 (e) -0.1
d
What is the smallest value in -4, 3, 14?
-4
What is the biggest value in 0.2, -11, 0.3, -1?
0.3
Which is the smallest value? (a) 0.5 (b) -0.3 (c) 12/11 (d) 0.4
b
Which is the second biggest value? (a) 1 (b) 0.03 (c) -1
b
What is the third smallest value in -572, 2, -2/13?
2
Which is the fifth smallest value? (a) -5 (b) -0.3 (c) -57 (d) 8 (e) 0.1
d
What is the third smallest value in -14, -0.2, 3/19?
3/19
Which is the second smallest value? (a) -12 (b) 0.39 (c) -2 (d) 3/4
c
Which is the second biggest value? (a) -2/7 (b) -18 (c) -71
b
Which is the third biggest value? (a) -0.4 (b) 0.6 (c) 2/137
a
What is the third smallest value in 2/3, 0.158, 0?
2/3
Which is the third biggest value? (a) 1/5 (b) 2/7 (c) 2/5
a
What is the second biggest value in -2, -34/11, 0.4?
-2
What is the biggest value in -1/2, 1/2, -1, 2/11, -0.4?
1/2
What is the biggest value in 3/2, -0.4, -4, 3047?
3047
Which is the third biggest value? (a) 35 (b) 1/4 (c) 2
b
Which is the third biggest value? (a) 0.5 (b) -0.1 (c) -2/233
b
Which is the fourth biggest value? (a) 3 (b) -40 (c) -3 (d) -3/8
b
Which is the third smallest value? (a) -5 (b) -6 (c) -2/7
c
Which is the third smallest value? (a) 4 (b) 2/11 (c) -2/7 (d) 0
b
Which is the second smallest value? (a) 5 (b) 2/13 (c) 0.1 (d) 3/5
b
Which is the third smallest value? (a) -6 (b) 1/9 (c) 5 (d) 0.4
d
What is the smallest value in -0.1, -1, 3, -0.4?
-1
Which is the biggest value? (a) 4 (b) -2.3 (c) 0.15 (d) 3 (e) -2/11
a
What is the second smallest value in -0.01, -64, 0.5?
-0.01
Which is the third biggest value? (a) -0.4 (b) 6/13 (c) 2/9 (d) -3/4
a
What is the second smallest value in -2, 0, -0.17?
-0.17
Which is the second smallest value? (a) -2/27 (b) 0 (c) -6/5 (d) -2
c
Which is the fourth biggest value? (a) -7 (b) -2/13 (c) 1/3 (d) 13
a
Which is the third smallest value? (a) 4 (b) 3/4 (c) -1.8
a
Which is the fourth smallest value? (a) 1 (b) 2 (c) 3 (d) -20
c
What is the third smallest value in 3, -1/9, 2/15, 0.4, -5.7?
2/15
What is the second smallest value in -1.4, -6, 0.1, -2?
-2
Which is the third biggest value? (a) -0.1 (b) -3/2 (c) -5 (d) 1/9 (e) -576
b
What is the second biggest value in -0.05, 1, 112?
1
Which is the fourth smallest value? (a) 5 (b) -5 (c) 3 (d) -18
a
Which is the third biggest value? (a) 36 (b) 0.5 (c) 0.2
c
What is the second smallest value in 1001, -1/4, 0.1?
0.1
Which is the third smallest value? (a) -3 (b) -1/5 (c) 0.35
c
What is the second biggest value in 5, 0.1, 0.4, 22?
5
Which is the third biggest value? (a) -3.14 (b) 5 (c) 4
a
What is the biggest value in 3/7, 44, 1, -0.4?
44
What is the second smallest value in -123, 4/7, 5, 1?
4/7
Which is the third smallest value? (a) 0 (b) 0.5 (c) -122
b
Which is the third biggest value? (a) -1/7 (b) -0.3 (c) -0.1715 (d) 5 (e) -3
c
Which is the third biggest value? (a) 1.2 (b) 5 (c) -39 (d) 3
a
Which is the smallest value? (a) -3/5 (b) -2/5 (c) -0.02
a
Which is the smallest value? (a) -0.04 (b) -1/3 (c) -2
c
What is the smallest value in 2.7, 4, 3/4?
3/4
What is the third smallest value in 234/19, 2/11, -2/13?
234/19
Which is the fourth biggest value? (a) 1/3 (b) 2 (c) -1/5 (d) 17
c
Which is the biggest value? (a) 0 (b) -1.1 (c) 4 (d) 0.28
c
Which is the third smallest value? (a) 17 (b) 2 (c) 0
a
What is the biggest value in 2, 0.1, -0.098?
2
Which is the third biggest value? (a) -64 (b) -1/5 (c) -0.1 (d) 2/9
b
What is the fourth biggest value in -0.2, 12.4, -5, -0.03?
-5
What is the third smallest value in -0.3, -1.7, 3, 4?
3
What is the third biggest value in -3/8, -0.3, 2/11, -2, 0?
-0.3
Which is the biggest value? (a) -1 (b) 202 (c) 0.058
b
What is the third smallest value in -37, 75, 3, -1?
3
What is the smallest value in 0.1, 0, -9, 1/5?
-9
What is the fifth smallest value in 4, 0.11, 0, -2/3, -5?
4
Which is the second biggest value? (a) -1 (b) -6 (c) 2 (d) -2
a
Which is the second smallest value? (a) 0.2 (b) 4 (c) 13
b
Which is the second smallest value? (a) 0.4 (b) -0.7 (c) -1/3 (d) 5
c
What is the fourth biggest value in 311, 2/9, 2, 1?
2/9
What is the third smallest value in -2/5, -1/3, 0.05?
0.05
What is the second smallest value in 4, -2.4, 0.1, 3, 2?
0.1
What is the smallest value in 19, 1/ | {
"pile_set_name": "DM Mathematics"
} |
26, 50654?
57880
What comes next: -6095, -12148, -18201, -24254?
-30307
What comes next: 6567, 6615, 6663, 6711, 6759, 6807?
6855
What is the next term in 23875, 47761, 71673, 95623, 119623, 143685, 167821?
192043
What is next in -19787, -19784, -19783, -19784, -19787, -19792?
-19799
What comes next: -5590, -44639, -150626, -357019, -697286, -1204895?
-1913314
What is the next term in -50504, -101005, -151506, -202007, -252508, -303009?
-353510
What is next in -74459, -148899, -223339, -297779, -372219, -446659?
-521099
What comes next: 4, -183, -632, -1475, -2844, -4871, -7688, -11427?
-16220
What is next in -521, -452, -381, -308, -233?
-156
What is the next term in 6579, 6474, 6299, 6054, 5739, 5354?
4899
What comes next: 146, 676, 1584, 2870, 4534, 6576?
8996
What is the next term in 96, 43, 138, 453, 1060, 2031?
3438
What is next in -45990, -45985, -45976, -45963?
-45946
What comes next: 18919, 19012, 19105, 19198, 19291, 19384?
19477
What is the next term in -88, -105, -138, -193, -276?
-393
What is next in 691, 843, 1257, 2065, 3399?
5391
What is next in 994, 2359, 3724, 5089, 6454?
7819
What comes next: -100017, -200028, -300039, -400050, -500061?
-600072
What comes next: 33695, 33694, 33693, 33692, 33691, 33690?
33689
What is the next term in 2320, 4662, 7002, 9340, 11676?
14010
What is next in -203, -251, -383, -641, -1067, -1703, -2591?
-3773
What is the next term in -24, 28, 68, 60, -32?
-244
What is the next term in 544022, 544021, 544020, 544019, 544018, 544017?
544016
What comes next: -131, -109, -67, 1, 101?
239
What is the next term in 7795, 15575, 23355, 31135?
38915
What is the next term in 102, 247, 546, 999, 1606?
2367
What is the next term in -706, -1374, -2042, -2710?
-3378
What is next in -11092, -10971, -10850, -10729, -10608?
-10487
What comes next: -43180, -86353, -129514, -172657, -215776, -258865?
-301918
What is next in 115, 425, 941, 1663, 2591?
3725
What is the next term in -558, -694, -936, -1338, -1954, -2838, -4044?
-5626
What comes next: 2365, 2341, 2317, 2293?
2269
What is next in 2866, 11526, 25968, 46198, 72222?
104046
What is next in -240, -518, -782, -1026, -1244, -1430, -1578?
-1682
What comes next: 22327, 22322, 22305, 22276?
22235
What is next in -642, -1217, -2180, -3531, -5270?
-7397
What is next in -28, -91, -204, -373, -604, -903, -1276, -1729?
-2268
What is next in 889, 900, 919, 946?
981
What is next in -377, -768, -1161, -1556?
-1953
What comes next: -1647, -853, -59?
735
What is next in 757, 939, 1119, 1297?
1473
What is the next term in 95, 203, 299, 383, 455?
515
What is next in 895, 3887, 8975, 16159, 25439, 36815, 50287?
65855
What is next in -117629, -117627, -117623, -117617, -117609, -117599?
-117587
What is the next term in 317, 1277, 2871, 5093, 7937, 11397, 15467, 20141?
25413
What comes next: 88971, 177966, 266961?
355956
What is the next term in 194, 244, 390, 680, 1162, 1884, 2894?
4240
What comes next: -10296, -82347, -277914, -658755, -1286628, -2223291, -3530502, -5270019?
-7503600
What is the next term in 126250, 126267, 126302, 126361, 126450, 126575, 126742, 126957?
127226
What comes next: -55062, -55068, -55076, -55086, -55098, -55112, -55128?
-55146
What comes next: 43540, 174178, 391908, 696730, 1088644, 1567650?
2133748
What is next in -1698, -1844, -2082, -2406, -2810, -3288, -3834, -4442?
-5106
What comes next: -487, -2080, -4753, -8512, -13363, -19312, -26365?
-34528
What comes next: 109256, 218512, 327768?
437024
What comes next: 16, 226, 566, 1030, 1612, 2306, 3106?
4006
What is the next term in -263, -1070, -2423, -4328, -6791, -9818, -13415, -17588?
-22343
What is next in -124, -297, -496, -721, -972?
-1249
What is next in -61, 164, 541, 1070, 1751, 2584, 3569?
4706
What is the next term in 11767, 23536, 35303, 47068, 58831, 70592?
82351
What is the next term in -1861, -7434, -16717, -29704, -46389, -66766, -90829?
-118572
What is next in 3640, 3612, 3556, 3460, 3312?
3100
What comes next: -62, -237, -528, -935?
-1458
What comes next: -260, -382, -502, -620, -736, -850, -962?
-1072
What is next in -4897, -19580, -44051, -78310, -122357, -176192?
-239815
What is the next term in 258, 980, 2186, 3876?
6050
What is next in 88, 187, 284, 367, 424?
443
What is the next term in -310, -482, -768, -1168, -1682, -2310, -3052?
-3908
What is the next term in 3148, 3748, 4348?
4948
What is next in -1131, -2186, -3211, -4194, -5123, -5986, -6771, -7466?
-8059
What is next in -11, -2, -19, -80, -203, -406, -707?
-1124
What is next in 123875, 123877, 123883, 123893, 123907?
123925
What is the next term in 59, -57, -187, -337, -513, -721?
-967
What is the next term in 48273, 48274, 48275, 48276?
48277
What is next in -203, -715, -1545, -2693?
-4159
What is next in -17587, -17598, -17621, -17662, -17727?
-17822
What is next in 493, 2273, 5237, 9385, 14717, 21233?
28933
What is the next term in -12577, -12576, -12575, -12574, -12573, -12572?
-12571
What comes next: -11290, -22576, -33862, -45148, -56434?
-67720
What is next in 8743, 8653, 8497, 8269, 7963?
7573
What is next in 1264, 1427, 1678, 2017, 2444?
2959
What is the next term in 112, 277, 442?
607
What is the next term in -3, -3, 59, 213, 489, 917, 1527, 2349?
3413
What is next in -138, -589, -1040, -1491, -1942?
-2393
What is the next term in 8088, 16192, 24296, 32400?
40504
What is next in 595, 1182, 1769, 2356, 2943?
3530
What is the next term in 283, 558, 807, 1036, 1251, 1458, 1663, 1872?
2091
What is the next term in 324, 1324, 3042, 5520, 8800, 12924, 17934?
23872
What is next in -55, -142, -229?
-316
What is the next term in 16, 19, 10, -11?
-44
What is the next term in 40844, 81678, 122500, 163304, 204084, 244834, 285548, 326220?
366844
What is the next term in -3434, -3399, -3364, -3329, -3294, -3259?
-3224
What is the next term in -18, -2, 50, 156, 334, 602?
978
What is the next term in 230, 500, 802, 1130, 1478, 1840, 2210?
2582
What is next in 1959269, 1959271, 1959273, 1959275, 1959277?
1959279
What is the next term in 233, 624, 1183, 1910, 2805, 3868, 5099?
6498
What is next in -14568, -14542, -14516, -14490, -14464, -14438?
-14412
What is next in -467, -224, 19, 262, 505, 748?
991
What comes next: -21225, -21418, -21611?
-21804
What is next in 4410, 4404, 4398, 4392, 4386, 4380?
4374
What comes next: -16936, -16937, -16938?
-16939
What is next in -229, -414, -757, -1336, -2229, -3514?
-5269
What is next in 384, 105, -176, -459, -744, -1031?
-1320
What is next in 623, 2509, 5653, 10055, 15715, 22633?
30809
What is the next term in -84571, -169144, -253717?
-338290
What is the next term in 96338, 96349, 96360, 96371, 96382?
96393
What is the next term in 179, 281, 457, 701, 1007, 1369?
1781
What is the next term in 269, 1998, 6631, 15620, 30417, 52474, 83243, 124176?
176725
What is next in 404, 782, 1166, 1562, 1976, 2414?
2882
What comes next: 221, 878, 1949, 3416, 5261, 7466, 10013, 12884?
16061
What is the next term in -3538, -3354, -3168, -2980, -2790?
-2598
What is next in 84, 33, -152, -537, -1188, -2171, -3552?
-5397
What is next in 3021, 6045, 9069, 12093, 15117?
18141
What comes next: 6105, 6179, 6253, 6327, 6401, 6475?
6549
What comes next: -6337, -12671, -19005?
-25339
What comes next: -5263, -5246, -5229, -5212, -5195, -5178?
-5161
What is next in 1180, 1150, 1072, 922, 676?
310
What is the next term in 79, 83, 45, -29, -133?
-261
What comes next: -436529, -436531, -436533, -436535, -436537?
-436539
What is next in -158, -551, -1190, -2075, -3206, -4583?
-6206
What comes next: 72, 145, 304, 591, 1048, 1717, 2640, 3859?
5416
What is next in -9, -12, -45, -132, -297, -564, -957?
-1500
What is the next term in 296, 1008, 2200, 3878, 6048, 8716?
11888
What comes next: 3113, 12752, 28819, 51314?
80237
What comes next: 23451, 23446, 23437, 23424, 23407?
23386
What comes next: -16798, -16796, -16794, -16792?
-16790
What comes next: 56676, 56673, 56670, 56667, 56664, 56661?
56658
What is the next term in 13876, 14130, 14384?
14638
What comes next: -687, -705, -731, -765, -807, -857, -915?
-981
What comes next: -70, -784, -2964, -7420, -14962, -26400, -42544, -64204?
-92190
What is next in -772, -737, -676, -577, -428, -217, 68, 439?
908
What comes next: -1099, -1114, -1137, -1168, -1207?
-1254
What is | {
"pile_set_name": "DM Mathematics"
} |
- 9)*(p - 6)*(p + 5318)
Factor 4*o**2 - 46772*o + 44162608.
4*(o - 10657)*(o - 1036)
Factor l**2/4 - 22651*l + 271803/4.
(l - 90601)*(l - 3)/4
Find x such that -x**4/5 + 449*x**3/5 - 7739*x**2/5 - 8189*x/5 = 0.
-1, 0, 19, 431
Let 2*b**5 + 164*b**4 + 3282*b**3 + 520*b**2 - 269600*b + 816000 = 0. What is b?
-51, -20, 4, 5
Factor -23*f**2 - 3512789*f/5 + 30546/5.
-(f + 30546)*(115*f - 1)/5
Determine u, given that -5*u**3 - 1101175*u**2 + 5*u + 1101175 = 0.
-220235, -1, 1
Factor -33*s**3/7 - 19812*s**2/7 - 3467445*s/7 - 141447366/7.
-3*(s + 271)**2*(11*s + 642)/7
Determine h so that -4*h**5/3 - 84*h**4 - 1112*h**3 + 12608*h**2/3 + 67200*h + 150528 = 0.
-42, -21, -4, 8
Find r such that 2*r**3/13 - 5258476*r**2/13 = 0.
0, 2629238
Determine t so that -t**2/5 + 1345809*t/5 - 1345808/5 = 0.
1, 1345808
Let 2*v**5/7 - 6332*v**4 - 709540*v**3/7 - 3459480*v**2/7 - 6387102*v/7 - 3592836/7 = 0. What is v?
-9, -3, -1, 22178
Determine l, given that -l**2/2 + 42543971*l - 1809989468448841/2 = 0.
42543971
Suppose -151321*t**2/4 - 3620812*t - 86638864 = 0. What is t?
-18616/389
Determine o so that -801867*o**3 - 136376328*o**2 - 5798499888*o = 0.
-43964/517, 0
Factor 2*g**4/9 + 7187468*g**3/9 + 6457462031378*g**2/9.
2*g**2*(g + 1796867)**2/9
Suppose -2*u**5 + 8704*u**4 - 9922254*u**3 + 971697752*u**2 + 981628712*u = 0. Calculate u.
-1, 0, 109, 2122
Factor 2*t**2/7 + 7747072*t/7 + 7502140571648/7.
2*(t + 1936768)**2/7
Determine v so that -5*v**2 - 604785*v + 15122750 = 0.
-120982, 25
Factor l**3 + 28*l**2 - 51308*l - 102720.
(l - 214)*(l + 2)*(l + 240)
Solve t**5/3 - 407*t**4/3 + 7867*t**3 - 276193*t**2/3 - 999922*t/3 - 233240 = 0 for t.
-2, -1, 21, 49, 340
Let l**2/2 - 2772231*l + 11088916 = 0. Calculate l.
4, 5544458
Find m such that -8712*m**3 - 61131840*m**2 + 1852486*m - 14034 = 0.
-7017, 1/66
Suppose -n**2 + 373091*n - 5969200 = 0. What is n?
16, 373075
What is q in 2*q**3/9 - 776*q**2 - 5010218*q/9 - 4989248/3 = 0?
-608, -3, 4103
Factor 2*r**4/9 + 17456*r**3/9 + 38709632*r**2/9 + 299705344*r.
2*r*(r + 72)*(r + 4328)**2/9
Find n such that -3*n**4/8 - 171*n**3/2 - 33993*n**2/8 - 49692*n + 272322 = 0.
-164, -41, -27, 4
Solve -2*k**3/7 + 51736*k**2/7 + 1968712*k/7 + 3730464/7 = 0.
-36, -2, 25906
Factor h**2/6 + 505*h/6 - 32809.
(h - 258)*(h + 763)/6
Factor -5*b**2 + 424465*b + 163731840.
-5*(b - 85277)*(b + 384)
Suppose -3*l**4/4 - 33417*l**3/4 + 150489*l**2/2 - 50178*l - 133776 = 0. Calculate l.
-11148, -1, 2, 8
Let 4*m**3/5 + 13792*m**2/5 - 21802428*m/5 - 21816216/5 = 0. Calculate m.
-4626, -1, 1179
Factor h**4/9 + 1952*h**3/3 + 40943*h**2/9.
h**2*(h + 7)*(h + 5849)/9
Suppose -5*l**2 - 6314430*l + 6314435 = 0. What is l?
-1262887, 1
Suppose 16*v**5 + 8252*v**4 - 1827936*v**3 + 76944532*v**2 + 823079840*v - 210550464 = 0. What is v?
-691, -9, 1/4, 92
Factor a**3/10 - 240448*a**2/5 + 20196309*a/10 - 106028307/5.
(a - 480854)*(a - 21)**2/10
Factor i**2 + 8632*i - 1631145.
(i - 185)*(i + 8817)
Solve -2*z**5/7 - 926*z**4/7 - 53628*z**3/7 + 9191376*z**2/7 = 0 for z.
-348, -186, 0, 71
Determine z, given that 3*z**3 - 281196*z**2 + 6715619820*z - 5893037841600 = 0.
912, 46410
Solve 4*s**4 + 16912*s**3 - 305712*s**2 = 0 for s.
-4246, 0, 18
Suppose -2*p**5/5 - 178366*p**4/5 - 1961798*p**3/5 - 1248114*p**2/5 + 26216568*p/5 = 0. Calculate p.
-89172, -7, 0, 3
Find y, given that 2*y**5/25 - 78364*y**4/25 - 15686*y**3/5 + 2507592*y**2/25 + 940392*y/5 = 0.
-5, -2, 0, 6, 39183
Suppose 81*t**5/4 - 243*t**4 - 3672009*t**3/2 - 206416071*t**2 - 547994999*t/4 - 22799128 = 0. What is t?
-509/3, -1/3, 352
What is p in -6*p**4/5 - 402*p**3/5 + 16104*p**2 + 85800*p - 820800 = 0?
-152, -10, 5, 90
Factor -n**3 + 125305*n**2 - 3927527675*n + 137310012875.
-(n - 62635)**2*(n - 35)
Let 129511997568*o**5/7 - 712311915072*o**4/7 - 380463886360*o**3/7 - 48578959448*o**2/7 - 1526926*o/7 - 12/7 = 0. What is o?
-1/4, -1/63618, 6
What is d in -5*d**4 + 13455*d**3 - 187235*d**2 - 414855*d - 214160 = 0?
-1, 16, 2677
Factor 2*u**3/7 + 6656*u**2 - 93190*u/7 + 46596/7.
2*(u - 1)**2*(u + 23298)/7
Determine k so that -7015*k**5 + 589265*k**4/3 + 3766915*k**3/3 - 9723685*k**2/3 + 770*k = 0.
-7, 0, 1/4209, 2, 33
Find k, given that k**2 + 181944*k - 545841 = 0.
-181947, 3
Let z**2/3 + 62648*z + 2067021 = 0. What is z?
-187911, -33
Suppose -5*g**3 + 1794125*g**2 - 114808640*g + 1836856320 = 0. What is g?
32, 358761
Solve 5*f**2/2 + 363285*f/2 + 7806005 = 0 for f.
-72614, -43
Factor -3*x**3 - 10005*x**2/4 + 283257*x/2 - 7766037/4.
-3*(x - 27)**2*(4*x + 3551)/4
Determine n so that -16*n**5 + 172*n**4 + 2460*n**3 - 13396*n**2 - 121100*n - 29400 = 0.
-7, -1/4, 10, 15
Let -4*w**2 + 40026512*w + 200132660 = 0. What is w?
-5, 10006633
Factor l**2/6 + 3840821*l/3 - 10242200.
(l - 8)*(l + 7681650)/6
Determine l, given that -l**5/2 - 395*l**4/2 - 13257*l**3/2 + 110043*l**2/2 - 48195*l = 0.
-357, -45, 0, 1, 6
Solve -2*v**3 - 5474574*v**2 - 3746367322896*v + 3746372797472 = 0.
-1368644, 1
Determine v, given that 6*v**4 + 18423*v**3 + 338532*v**2 - 732357*v + 375396 = 0.
-3052, -41/2, 1
Let 3*v**3 - 41907*v**2 - 17385123*v - 1777138125 = 0. Calculate v.
-203, 14375
Suppose 10*z**3/7 + 2458*z**2/7 + 32408*z/7 + 12992 = 0. What is z?
-232, -49/5, -4
Factor -n**2 - 6768*n - 1909535.
-(n + 295)*(n + 6473)
Factor -2500*z**3 - 2767800*z**2 - 19611684*z - 34852400.
-4*(z + 1100)*(25*z + 89)**2
Factor 2*v**3/7 + 144*v**2/7 - 5118*v/7 - 285196/7.
2*(v - 47)*(v + 37)*(v + 82)/7
Let u**5 - 3626*u**4 + 454211*u**3 + 941078*u**2 - 2285592*u - 2768832 = 0. Calculate u.
-3, -1, 2, 132, 3496
Factor v**4/2 + 2403*v**3/2 - 1745730*v**2.
v**2*(v - 1020)*(v + 3423)/2
Factor -5*g**3 - 85740*g**2 - 363765780*g + 32678766560.
-5*(g - 88)*(g + 8618)**2
Let -98*y**5/11 + 1180*y**4/11 + 65816*y**3 - 4394864*y**2/11 - 1350158336*y/11 + 55115776/11 = 0. What is y?
-58, 2/49, 64
Let 24077*i**2/4 - 71883*i/4 - 261 = 0. Calculate i.
-348/24077, 3
Factor q**3 + 111957*q**2 + 3150818208*q + 962942563584.
(q + 309)*(q + 55824)**2
What is w in -2*w**2/7 + 88304434*w/7 = 0?
0, 44152217
Find j, given that 3*j**3 + 9843*j**2 + 192285*j - 11005875 = 0.
-3261, -45, 25
Determine a so that -a**4/4 - 2933*a**3/4 - 509007*a**2/4 + 5310545*a/4 - 3365075 = 0.
-2747, -196, 5
Suppose -3*o**5/2 - 28785*o**4/2 - 28779*o**3 = 0. Calculate o.
-9593, -2, 0
Suppose -6*f**5/13 + 19814*f**4/13 - 124630*f**3/13 - 2036550*f**2/13 - 1246084*f/13 + 646016/13 = 0. What is f?
-7, -1, 1/3, 14, 3296
Determine s, given that -2*s**3/7 + 2610626*s**2/7 + 7831892*s/7 + 5221264/7 = 0.
-2, -1, 1305316
Factor 2*a**2 - 4806*a + 2848840.
2*(a - 1340)*(a - 1063)
Suppose -4*f**5 + 8888*f**4 + 53456*f**3 + 35744*f**2 - 213760*f - 285184 = 0. Calculate f.
-4, -2, 2, 2228
Factor 4*t**2 + 154536*t - 125384220.
4*(t - 795)*(t + 39429)
Let 4*x**3 - 31416*x**2 + 1405620*x = 0. What is x?
0, 45, 7809
Factor -h**5 - 4673*h**4 - 3950443*h**3 + 3742709229*h**2.
-h**2*(h - 549)*(h + 2611)**2
Suppose -4*t**2 + 305244*t + 3052840 = 0. Calculate t.
-10, 76321
Solve 4*c**5 + 14304*c**4 - 272876*c**3 + 1236264*c**2 - 1495520*c = 0.
-3595, 0, 2, 4, 13
What is m in 4*m**2 + 45732*m - 9543160 = 0?
-11638, 205
Factor 5*o**2/6 + 1124405*o/3 - 56226500/3.
5*(o - 50)*(o + 449812)/6
Factor y**2/3 - 312236*y/3 - 624476/3.
(y - 312238)*(y + 2)/3
Let -m**5 - 485*m**4 + 3484*m**3 + 19724*m**2 + 21648*m = 0. Calculate m.
-492, -2, 0, 11
Suppose 2*y**4/11 + 240634*y**3/11 + 5293098*y**2/11 + 14194886*y/11 + 9142420/11 = 0. What is y?
-120295, -19, -2, -1
Suppose 2*q**2/11 + 78130*q/11 - 5949432/11 = 0. Calculate q.
-39141, 76
Find q, given that 5*q**5 - 518555*q**4 + 1555625*q**3 - 518525*q**2 - 1555630*q + 1037080 = 0.
-1, 1, 2, 103708
Determine h so that -3*h**4 - 2418*h**3 - 147915*h**2 + 460716*h - 310380 = 0.
-739, -70, 1, 2
Determine n so that n**5/2 - 326*n**4 + 39032*n**3 + 79699*n**2 - 78065*n/2 - 79373 = 0.
-2, -1, 1, 161, 493
Determine n, given that 3*n**2 - 51429108*n + 220412762472972 = 0.
8571518
Factor o**2/10 - 333295664*o/5 + 55542999820600448/5.
(o - 333295664)**2/10
Factor -4*t**2 - 135723068*t - 407169168.
-4*(t + 3)*(t + 33930764)
Factor 87*x**2/4 + 81633*x/4 + 175125/2.
3*(x + 934)*(29*x + 125)/4
Factor -x**2 + 53131822*x - 705747627259921.
-(x - 26565911)**2
Find c, given that -c**3/3 + 4788514*c | {
"pile_set_name": "DM Mathematics"
} |
8*c - 5200. Let v(l) = 20*k(l) - 5*p(l). Determine a, given that v(a) = 0.
-12, -1, 3
Let d = -241103 - -241105. Solve 9/7*q + 0 - 1/7*q**d = 0.
0, 9
Let a(c) = -120*c**2 - 4*c. Let l be a(3). Let v be 4/22 - l/286. Factor 45*i**5 + 20*i**v + 3*i**3 - 49*i**5 - 27*i**3.
-4*i**3*(i - 3)*(i - 2)
Let d(p) be the second derivative of -1/11*p**4 + 7*p - 4/33*p**3 - 1/66*p**5 + 0 - 9/2*p**2. Let u(j) be the first derivative of d(j). Factor u(i).
-2*(i + 2)*(5*i + 2)/11
Let y(o) = 3*o - 52. Let v be y(16). Let h = v + 6. Let 6*i**2 - 162 - 8*i**h + 9*i + 27*i = 0. What is i?
9
Let h(c) be the first derivative of -c**6/1980 + 7*c**5/660 - c**4/22 + 47*c**3/3 - 75. Let q(y) be the third derivative of h(y). Suppose q(m) = 0. What is m?
1, 6
Let v(b) be the third derivative of 0*b + 0 - 11/60*b**6 - 3/4*b**4 + 19/30*b**5 - 150*b**2 + 0*b**3 + 1/105*b**7. Factor v(o).
2*o*(o - 9)*(o - 1)**2
Let p(h) = -12*h**2 - 48*h + 3. Let w be p(-4). Let f(m) be the first derivative of 6*m**2 - 3/2*m**3 - 3/4*m**4 - w - 6*m + 3/10*m**5. Factor f(v).
3*(v - 2)*(v - 1)**2*(v + 2)/2
Let p(i) be the third derivative of 0 - 3*i**2 - 1/5*i**3 + 1/30*i**4 + 1/150*i**5 - 15*i. What is h in p(h) = 0?
-3, 1
Suppose -4*y + 5 = j, 2*y + 2 + 9 = -5*j. Let v be y/(-3)*(-693)/385. Find i such that 4/5*i + 0 + v*i**2 + 2/5*i**3 = 0.
-2, -1, 0
Let j = 4232 - 4232. Let h(y) be the third derivative of -1/60*y**6 + 0*y - 1/40*y**5 + 0 + 0*y**4 - 8*y**2 + j*y**3 - 1/420*y**7. Factor h(b).
-b**2*(b + 1)*(b + 3)/2
Let v(j) be the first derivative of 5*j**6/6 + 27*j**5 + 425*j**4/2 + 1790*j**3/3 + 1545*j**2/2 + 475*j - 2667. Let v(r) = 0. Calculate r.
-19, -5, -1
Suppose 20 = 2*w - 68. Let f(m) = -2*m**3 - 26*m**2 + 6*m. Let n(b) = -b**2. Let p(o) = w*n(o) - 2*f(o). Factor p(j).
4*j*(j - 1)*(j + 3)
Let v(o) be the second derivative of -o**7/168 - o**6/80 + o**5/20 - o**4/6 + 7*o**2/2 + 2*o. Let d(l) be the third derivative of v(l). Factor d(n).
-3*(n + 1)*(5*n - 2)
Let g(x) be the second derivative of x**5/90 + 247*x**4/54 + 485*x**3/9 + 241*x**2 - 136*x - 12. Determine y, given that g(y) = 0.
-241, -3
Let z(o) be the third derivative of o**7/35 - 19*o**6/6 + 953*o**5/30 - 731*o**4/6 + 232*o**3 + 3*o**2 + 1077. Solve z(w) = 0.
1, 4/3, 3, 58
Let v(w) = w**3 + 20*w**2 + 38*w + 36. Let p be v(-18). Suppose p = -15*n + 42 + 18. Suppose -9/2*a - 1/2*a**2 - n = 0. Calculate a.
-8, -1
Let z(s) = s**3 + 3*s**2 - 9*s - 20. Let r be z(-2). Factor 12*a**3 - 12*a - 2*a**4 + 6 - 19 + 18*a**2 - r - a**4.
-3*(a - 5)*(a - 1)*(a + 1)**2
Let t(x) be the third derivative of x**7/2520 - x**6/540 - x**5/90 - 71*x**4/24 + 2*x**2 + 65. Let v(r) be the second derivative of t(r). Factor v(l).
(l - 2)*(3*l + 2)/3
Let m = 72162 - 288645/4. Determine x so that 5/4*x**2 + 1/4*x**5 - m*x**3 + 0 - 1/4*x**4 - 1/2*x = 0.
-2, 0, 1
Factor 0 - 1/8*m**4 + 0*m - 31/2*m**2 + 125/8*m**3.
-m**2*(m - 124)*(m - 1)/8
Let z be (1 + -61)/6*(-272)/96. Let w(q) be the first derivative of -5*q**5 - 45/2*q**4 + 20*q + 0*q**2 - z*q**3 + 12. Solve w(d) = 0 for d.
-2, -1, 2/5
Suppose 5*b - 9*b + 12 = 0. Let p be 1/(-2)*b/((-3)/4). Solve 5*z + 4*z**p + 3 - 1 + z = 0.
-1, -1/2
Solve 704/3*d + 1/3*d**2 - 235 = 0.
-705, 1
Solve 41*o**2 + 49*o**3 - 61*o + 363*o - 94*o**3 + 448 + 46*o**3 = 0 for o.
-32, -7, -2
Let m be (-3 - -5)/2*-1 - -1. Suppose 20 = 5*q, m*f - 4 = f - q. Factor 2/3*n**2 - 1/3*n + f.
n*(2*n - 1)/3
Let x(p) be the first derivative of -4*p**3 + 86*p**2 + 624*p + 1676. Suppose x(h) = 0. What is h?
-3, 52/3
Suppose 2*f + z - 27 = -30, 0 = 3*f + 5*z + 29. Let n(p) be the first derivative of 1/14*p**4 + 2/7*p**3 + 0*p - 29 - 4/7*p**f. Let n(i) = 0. Calculate i.
-4, 0, 1
Let b(g) be the second derivative of 0 - 1/5*g**5 + 173*g - 8/3*g**3 + 0*g**2 + 4/3*g**4. Factor b(d).
-4*d*(d - 2)**2
Suppose 3*h + 14 = -5*n + 39, 0 = 5*n - h - 45. Factor -n*c**5 + 5*c**4 - 11*c**4 - 2*c**3 + 16*c**4.
-2*c**3*(c - 1)*(4*c - 1)
Let s(n) = 6*n**2 + 16*n + 4. Let f be s(-6). Suppose -472 - 144 - 99 - 5 + f*w**2 - 24*w**3 + 624*w - 4*w**4 = 0. What is w?
-6, 1, 5
Let z(a) be the third derivative of -a**8/36960 + a**7/6930 + a**6/1320 - 13*a**4/12 - a**3/6 + 44*a**2. Let l(w) be the second derivative of z(w). Factor l(o).
-2*o*(o - 3)*(o + 1)/11
Let p(x) = -29*x**3 + 271*x**2 - 971*x + 54. Let b(f) = 7*f**3 - 68*f**2 + 243*f - 12. Let t(z) = -9*b(z) - 2*p(z). Factor t(l).
-5*l*(l - 7)**2
Solve 513/2 + 3/4*c**2 - 141/4*c = 0.
9, 38
Let d = 59098/5 - 11819. Determine f so that 2/5 - d*f - 4*f**2 = 0.
-2/5, 1/4
Factor -116*l**2 - 95*l + 2*l**4 + 6*l**3 - 161*l - 224*l.
2*l*(l - 8)*(l + 5)*(l + 6)
Let x(y) be the second derivative of -y**4/3 - 60*y**3 + 182*y**2 + 289*y. Factor x(p).
-4*(p - 1)*(p + 91)
Let n = -31 - -41. Suppose -20 = -2*x + 2*w, -x + w = 4*w + n. Find k, given that -53*k**2 + 5*k**3 + 2*k**x + 58*k**2 - 5*k**4 - 7*k**5 = 0.
-1, 0, 1
Factor -3/7*h**2 + 216/7 - 9*h.
-3*(h - 3)*(h + 24)/7
Factor 3*r**3 + 24*r + 195*r**2 - 30*r + 198*r.
3*r*(r + 1)*(r + 64)
Determine q, given that 2/5*q**4 + 0 + 374/5*q**2 + 186/5*q + 38*q**3 = 0.
-93, -1, 0
Let s be 10 - 39/4 - 583/620. Let h = 40/31 + s. Factor 0 + h*z**5 + 0*z + 6/5*z**3 - 9/5*z**4 + 0*z**2.
3*z**3*(z - 2)*(z - 1)/5
Let w = 22 + 104. Suppose -5*o - w = -11*o. Suppose -24*p + 1 + 5*p**5 + o*p**4 - 2*p**5 + 19 + 28 + 21*p**3 - 69*p**2 = 0. Calculate p.
-4, -1, 1
Let r be (-5)/(18 + -8)*(-88)/33. Solve r*j**5 - 32/3*j**4 - 103/3*j**2 + 17*j - 3 + 89/3*j**3 = 0 for j.
1/2, 1, 3
Let s(q) be the first derivative of q**5/100 + q**4/5 + 8*q**3/5 + 32*q**2/5 + 168*q - 54. Let d(z) be the first derivative of s(z). Factor d(h).
(h + 4)**3/5
Let t(p) be the first derivative of p**6/8 + 11*p**5/4 - 41*p**4/16 - 55*p**3/12 + 19*p**2/4 - 1001. Determine u, given that t(u) = 0.
-19, -1, 0, 2/3, 1
Let y(b) = -11*b**5 + 55*b**3 + 71*b**2 - 28*b. Let m(a) = -10*a**5 + 54*a**3 + 70*a**2 - 24*a. Let h(t) = 7*m(t) - 6*y(t). Factor h(p).
-4*p**2*(p - 4)*(p + 2)**2
Factor 3353*v**3 + 3*v**4 + 290*v**3 + 6671880*v**2 + 1921480800*v + 4103*v**3 + 3816336000.
3*(v + 2)*(v + 860)**3
Let w(a) = -a + 0 + 1 - a**3 + 152*a**2 - 151*a**2. Let u(b) = 15*b**5 - 21*b**4 - 81*b**3 - 3*b**2 + 60*b + 30. Let k(j) = -u(j) + 3*w(j). Solve k(x) = 0.
-1, -3/5, 1, 3
Let j(o) be the third derivative of 1/36*o**4 + 0 + 1/630*o**5 + 24*o**2 + 0*o + 0*o**3. Factor j(h).
2*h*(h + 7)/21
Suppose 5*p = -3*j - 12 + 47, -2*j + 14 = 2*p. Suppose 19 = -p*l + 8*l. Let -2*h - 11*h**2 + 7*h + 25 + 0*h - l = 0. Calculate h.
-6/11, 1
Let h be 1 - (-42)/(-48)*1. Let z be (-273)/27 + 10 - (-1 - -2)/(-9). Factor 1/8*n**2 - h*n**4 + 0*n + 1/8*n**3 - 1/8*n**5 + z.
-n**2*(n - 1)*(n + 1)**2/8
Let m(x) = -420*x**2 + 24380*x - 7035. Let y(d) = 35*d**2 - 2032*d + 586. Let g(s) = -2*m(s) - 25*y(s). Determine a so that g(a) = 0.
2/7, 58
Let j be (-6)/(-1) + ((-1545)/(-9))/((-1020)/(-408)). Find r, given that j*r - 98/3*r**5 - 32/3 + 350/3*r**4 - 368/3*r**2 - 176/3*r**3 = 0.
-1, 2/7, 2
Let j(u) = -5*u**2 - 313*u - 209. Let f(q) = -3*q**2 - 162*q - 105. Let s(t) = -11*f(t) + 6*j(t). Factor s(b).
3*(b - 33)*(b + 1)
Let h(t) = t**2 - 640*t + 2709. Let q(v) = 1280*v - 5395. Let g(s) = 5*h(s) + 3*q(s). Let g(r) = 0. What is r?
-132, 4
Let b = 49 + -33. Let g be b/9 + 12/54. Determine i, given that -3*i**2 - 3*i**4 - i - 3*i**g + i**3 + 11*i**2 - 2 = 0.
-1, -2/3, 1
Let m(o) be the second derivative of -2*o**7/21 + 126*o**6/5 - 559*o**5/5 + 61*o**4 + 1120*o**3/3 - 744*o**2 - 22*o - 69. What is c in m(c) = 0?
-1, 1, 2, 186
Let v(u) = 56*u**5 + 24*u**4 + 19*u**3 + 2*u**2 - 49*u - 26. Let q(w) = -13*w**5 - 6*w**4 - 5*w**3 + 12*w + 6. Let x(b) = -26*q(b) - 6*v(b). Factor x(l).
2*l*(l - 1)*(l + 1)*(l + 3)**2
Factor -159 - 143 + 15*x - 141 + 115 + 309*x + 4*x**2.
4*(x - 1)*(x + 82)
Let r(i) be the first derivative of 2/3*i**3 + 0*i**2 + 1/6*i**6 - 30 + 4/5*i**5 + 5/4*i**4 + 0*i. Factor r(o).
o**2*(o + 1)**2*(o + 2)
Suppose 9 = -c + 2*s, -4*s + 4 = 4*c - 2*s. Let r be c - (-7)/5 - (-295)/75. Find u such that -r*u**2 - 16*u - 1/3*u**3 - 12 = 0.
-6, -1
Factor -36 + 201*s + s**4 - 87*s**2 + 18 - 52 - 52*s + 4*s**3 + 3*s**3.
(s - 5)*(s - 1)**2*(s + 14)
Suppose -5*q + 1022 = 2*f, 5*q + 1356 = 5*f - 1164. Determine x, given that 5*x + 2*x**2 - 505 + 1005 - f - x**3 = 0.
-2, 1, 3
| {
"pile_set_name": "DM Mathematics"
} |
4) + sqrt(204))/sqrt(12))).
-4*sqrt(17) + 22100
Simplify 0 + 5 + 1 + sqrt(175) + (sqrt(84) - 3*(sqrt(84) + -2*sqrt(84)))/(sqrt(108)/(-1*sqrt(9))).
sqrt(7) + 6
Simplify 2*(sqrt(500)*1 + 3)**2 - ((-3 + (sqrt(180) + -3 - sqrt(180) - sqrt(180) - sqrt(180)))*-5)**2.
-17882 - 3480*sqrt(5)
Simplify ((-3 + 4 + sqrt(171) + 1 + -4*(sqrt(171) - -5*(0 + sqrt(171))))**2 + 0)*-6 + 4.
-542774 + 1656*sqrt(19)
Simplify (2 + 4 + sqrt(272) + (sqrt(272) + 0)*-2)**2 + 4 + 3*sqrt(612) + (-1*sqrt(17)*2)**2.
-30*sqrt(17) + 380
Simplify ((5 + (sqrt(242)*-1 - sqrt(242)) + -5 + sqrt(242) - (-2*sqrt(162) + sqrt(162) - sqrt(18))/(sqrt(99)/(sqrt(11) - sqrt(11)*2))) + 4)**2*2.
-240*sqrt(2) + 932
Simplify ((1*sqrt(81)*3)/sqrt(9)*-1)/((2*sqrt(243) - sqrt(21)/sqrt(63))*3).
-3*sqrt(3)/53
Simplify (5*(sqrt(84) - -2*(sqrt(84) - (sqrt(84)*2 - sqrt(84))))*4)/((1*sqrt(132)*5)/(sqrt(176) + (sqrt(176) - sqrt(176)*1))).
16*sqrt(7)
Simplify 3 + 1*(sqrt(77) + -2*(sqrt(77)*-2 + sqrt(77)) + sqrt(77))/((4*sqrt(77))/sqrt(7)) + 0.
sqrt(7) + 3
Simplify (sqrt(405)/(sqrt(54)/sqrt(6)) + (sqrt(450) - (-1*sqrt(450) + sqrt(450)))/sqrt(10))/(4*sqrt(900)*1*6).
sqrt(5)/120
Simplify 6*(sqrt(24)/((sqrt(88)*-2)/sqrt(11)) + 4 + -2 + 0 + sqrt(192) + -4)*1.
-12 + 45*sqrt(3)
Simplify ((sqrt(52)*-2*-2)/(1*sqrt(32)))/(-5*(sqrt(162) - sqrt(162)*3)*-3).
-sqrt(13)/270
Simplify 1*(-2*(sqrt(171) + (sqrt(171) - ((3 + sqrt(171))*-4 + sqrt(171)))**2) - (sqrt(171)*-4*5 + sqrt(171))**2*1).
-67491 - 582*sqrt(19)
Simplify 5 + 3 + 6*(sqrt(132) - (sqrt(132) - 1*sqrt(132)*4 - sqrt(132)))/(2*sqrt(768))*-5.
-75*sqrt(11)/8 + 8
Simplify sqrt(90)/sqrt(2) + -4 - (sqrt(180)*-1)**2 - -1*sqrt(180)/(sqrt(20)/sqrt(5)).
-184 + 6*sqrt(5)
Simplify (-1*(1*(0 + sqrt(2)) + -4) + ((sqrt(72) - 2*sqrt(72)) + 4)*-4)*4.
-48 + 92*sqrt(2)
Simplify (0 + (3*2*(-2*sqrt(132) + sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132)))/(sqrt(432)*1 - sqrt(768)*-2)*-1)**2.
441/11
Simplify ((5*(1 + sqrt(112)) + (sqrt(112) - (sqrt(112) + 1))*-1 - (1 + sqrt(112)*2 - (sqrt(112)*-1 + 0 - sqrt(112))))**2*1 + -3)*1.
40*sqrt(7) + 134
Simplify (-2*6*(-5 + (sqrt(36) + (sqrt(36) - -2*sqrt(36)))/sqrt(12) + -3)*-3)**2.
-82944*sqrt(3) + 145152
Simplify (5*(sqrt(77) - 1*sqrt(77))*2)/((sqrt(448) - (sqrt(448)*1 - sqrt(448))*5) + sqrt(448)) + -1.
-1
Simplify ((sqrt(38) - (sqrt(38) - (-2*sqrt(266))/sqrt(7)))/sqrt(162) - 4*(-4 + sqrt(1216)*-1 + sqrt(1216)))**2.
-64*sqrt(19)/9 + 20812/81
Simplify -2 + ((4*-5*(sqrt(102) + sqrt(102)*-4))/((sqrt(42) - sqrt(126)/sqrt(243))/sqrt(7)))**2.
309817/4
Simplify (0 + -1*(-3 + -4 + sqrt(80) + (sqrt(80) - (-6*(sqrt(80) + (sqrt(80) + (sqrt(80) - sqrt(80)*2) - sqrt(80))) - sqrt(80))))*5)**2.
-4200*sqrt(5) + 19225
Simplify (2*(sqrt(475) + -1 + 3 + 4) + 6*((sqrt(475) + sqrt(475) + sqrt(475) + 1)*-1 - -2*-1*sqrt(475)))*-2.
-12 + 280*sqrt(19)
Simplify -1*(-3*(-3 + sqrt(98)) + (sqrt(98) - sqrt(98)*-1 - sqrt(98)) + 0 + 3*sqrt(98)*-1 + sqrt(98) + sqrt(98) + -2 + sqrt(98) + 4 + sqrt(98))**2.
-219 + 154*sqrt(2)
Simplify 3 + ((sqrt(170)/(sqrt(35)/sqrt(7)*4))/(sqrt(242)*-5*-2))**2.
580817/193600
Simplify (0 + -2 + -2 + -2*sqrt(325) - (-4 + sqrt(1573)*-1*-4 + -4))**2.
-432*sqrt(13) + 37924
Simplify (-3*(sqrt(152) + sqrt(152)*2 - sqrt(152)) + (4*1*sqrt(152) - sqrt(152)) + sqrt(152) + sqrt(152))/(-3*sqrt(72)/sqrt(9) + -1*sqrt(288)).
sqrt(19)/9
Simplify ((-3*(-1*sqrt(187) + sqrt(187)) - sqrt(187))/(sqrt(44)/sqrt(4)*3) + -2 + -3 + -3 + sqrt(153))**2.
-128*sqrt(17)/3 + 1664/9
Simplify ((4*sqrt(7)*5 - (sqrt(70)/sqrt(10) + 0)) + (1*sqrt(14)/sqrt(2) - (3 + sqrt(175) + sqrt(7))))**2.
-84*sqrt(7) + 1381
Simplify 0 + ((sqrt(1573)*1)**2 - sqrt(1573)) + (-2*sqrt(1872))**2 + ((sqrt(65)/sqrt(5) + -5)**2 - sqrt(13) - sqrt(52)/(sqrt(12)/sqrt(3))).
-23*sqrt(13) + 9099
Simplify ((sqrt(6048)*1 + 3*sqrt(6048))/(3*-3*sqrt(48)/(sqrt(8) - (sqrt(8) - sqrt(24)/sqrt(3)))))**2.
1792/9
Simplify -4 + (4*(0 + sqrt(2205)))**2 + ((sqrt(15) - 2*sqrt(1500))/(sqrt(36)/(sqrt(12)*1 - sqrt(12) - sqrt(12))))**2.
37081
Simplify -3*(-4 + -6*((sqrt(20)/((sqrt(576) - sqrt(16) - sqrt(16))/sqrt(8)))/(sqrt(8)*-1 + sqrt(2) + 6*(sqrt(8) - sqrt(2))))**2).
489/40
Simplify sqrt(242)*2*4 + sqrt(242)*1 + 4 + -2*(sqrt(242) - (sqrt(242) - (sqrt(242) + (sqrt(242) + 2 + (2*sqrt(242) - sqrt(242)))**2)))*3.
-5828 - 495*sqrt(2)
Simplify (sqrt(126)/(sqrt(27)/sqrt(3)))/(sqrt(252) - sqrt(252)*2) + 5 + sqrt(162)*2 + sqrt(162) + 1*sqrt(162)*-6.
-163*sqrt(2)/6 + 5
Simplify (1*((sqrt(147) - (5*sqrt(147) + 4)) + 0 + 2*(-1 + sqrt(147)*-6))*-3)**2.
12096*sqrt(3) + 339012
Simplify (-3 + 1 + ((1 + sqrt(5)*1 - sqrt(5)) + sqrt(5))**2 + sqrt(5) + (sqrt(25)/(sqrt(25)/sqrt(5)))**2 + (2*sqrt(35)/sqrt(7))**2)*-6.
-174 - 18*sqrt(5)
Simplify (((sqrt(1960) + sqrt(1960) + 2*sqrt(1960) + sqrt(1960))*1)/(-4*sqrt(36)/sqrt(2)*-6))**2.
6125/1296
Simplify 1 + 1*6*sqrt(1331)*2 + 5 + ((3*2*sqrt(539))**2 - sqrt(539)) + -3.
125*sqrt(11) + 19407
Simplify (-4*-1*sqrt(99) - sqrt(99))/(-3*(sqrt(36)/sqrt(4) + sqrt(9))) + (sqrt(396)/(sqrt(9)*-2))/(sqrt(196) - (sqrt(196) - -2*sqrt(196))).
-13*sqrt(11)/28
Simplify ((sqrt(684)*-1 + -2 - (-1*sqrt(684) + sqrt(684))*4) + -5 - (sqrt(684) + (sqrt(684) - sqrt(684)*-1*1) + 4)*4)**2.
3588*sqrt(19) + 116125
Simplify (-1*(sqrt(76) - 5*(sqrt(76) - -2*sqrt(76)))*-4)/(sqrt(1296)*3*-5 + sqrt(1296)).
2*sqrt(19)/9
Simplify (-2*(sqrt(50)/(sqrt(5) - sqrt(45)) + -2*sqrt(40) + sqrt(40)))/((sqrt(405) + 3*sqrt(405) - sqrt(5)) + (sqrt(80) - 3*sqrt(80))).
5*sqrt(2)/27
Simplify 4 + ((sqrt(352) - 5*1*sqrt(352)) + sqrt(352) + 5*1*sqrt(352))/(sqrt(99) - ((1*sqrt(99) - sqrt(99)) + sqrt(99) + sqrt(99))*-3).
8*sqrt(2)/21 + 4
Simplify (((3*-1*sqrt(1700) - (sqrt(1700) - (sqrt(1700) - (-1 + sqrt(1700) + -1 - sqrt(1700))))) + (sqrt(1700) + sqrt(1700) + -1 + 3)*6)*-5)**2.
63000*sqrt(17) + 3447400
Simplify -2*(((sqrt(77)*-1*1)/sqrt(7) + ((sqrt(11) + 1 + sqrt(11) + -5)*3)**2)*4 + 3).
-4326 + 1160*sqrt(11)
Simplify -6*((3 + sqrt(242)*3 - sqrt(242))*2 - (6*sqrt(242)*1 - sqrt(242) - 5*sqrt(242)*-1))**2.
-52488 + 4752*sqrt(2)
Simplify (sqrt(243) - -6*(-5*sqrt(243))**2) + (sqrt(243) + 2)*3 + -6*(sqrt(243) + 1*-1*sqrt(243) + -3)**2.
36*sqrt(3) + 36402
Simplify ((sqrt(77) + -1*sqrt(77)*-2)/(sqrt(704)*4 - sqrt(704)))**2 - (1*sqrt(84)*3)/((3*sqrt(1200) - sqrt(1200)) + sqrt(1200)).
-sqrt(7)/10 + 7/64
Simplify ((sqrt(264)*1 + sqrt(264))/sqrt(8))/(sqrt(3) + sqrt(75) + (3*sqrt(75) - sqrt(75))) + (3*sqrt(110)*-1)/((sqrt(500) - sqrt(20))/sqrt(2) + sqrt(10)).
-19*sqrt(11)/40
Simplify ((-5*(sqrt(170) - -1*sqrt(170)*-2)*5)/(-5*sqrt(30)/sqrt(3) + sqrt(10) + sqrt(490)*-2))**2.
10625/324
Simplify (-3*1*sqrt(243)*1 + 4 - (-4 + sqrt(243) + 2*sqrt(243)*-1 + 1))**2.
-252*sqrt(3) + 1021
Simplify 3 + (4*-1*(sqrt(266)/sqrt(28))/(-4*(sqrt(2) + 2*sqrt(2)) + sqrt(2)))**2*-6.
-93/121
Simplify (1 + (sqrt(300) + (sqrt(300) + 2 - sqrt(300)) + sqrt(300))**2*5 + -1*sqrt(300)*2)*-1*-2*-5.
-60210 - 3800*sqrt(3)
Simplify -5*(1 + -3 + (sqrt(200) - ((0 + sqrt(200) - sqrt(200)) + sqrt(200))))**2 + -1 + sqrt(2) + -2 + (0 + sqrt(242))**2 + -3.
sqrt(2) + 216
Simplify ((3*sqrt(170)*-1 - sqrt(170)) + 1*sqrt(170)*-2)/(sqrt(100)/(5*-3*sqrt(10))).
90*sqrt(17)
Simplify (2*-5*sqrt(448)*-3*1 + 2*(sqrt(448) + 3)*-2*1)**2.
-4992*sqrt(7) + 302992
Simplify 4 + -4*((sqrt(2736) - (2*sqrt(2736) - sqrt(2736))) + -4 - (sqrt(2736) + sqrt(2736) + 3 + -2))**2*-3 + 0.
2880*sqrt(19) + 131632
Simplify 6*(3 + (sqrt(175)*2*2 - (sqrt(175) + -1*sqrt(175)*2)))*2.
36 + 300*sqrt(7)
Simplify (-1*(sqrt(104) - 3*sqrt(104)*3)*3)/(sqrt(392) - sqrt(392)*-1 - (4*sqrt(96))/sqrt(12)).
12*sqrt(13)/5
Simplify ((4*sqrt(32) + 1*-2*sqrt(8))/(((sqrt(120) - (sqrt(120) - -2*sqrt(120)))/sqrt(6))/sqrt(5)))**2 + 0.
18
Simplify (6*(-2 + (-2 + sqrt(102)/sqrt(6))*2 + 4*(1 + sqrt(425))*-6))**2.
254880*sqrt(17) + 8553888
Simplify (1 + 1*(((sqrt(5) + -2)*6 - (sqrt(160)/sqrt(4))/sqrt(8)) + (sqrt(360)*1)/(-2*sqrt(392) + sqrt(8))))**2*5.
-6820*sqrt(5)/13 + 198345/169
Simplify (-2*sqrt(21)*-6)/(sqrt(30)/(sqrt(10) + sqrt(40) - sqrt(10) - sqrt(10))) + -6*((1*sqrt(336))/sqrt(12) + -1).
6
Simplify (sqrt(114)/(sqrt(3)*-2))/(1*sqrt(32)) - ((sqrt(57) + sqrt(513) + sqrt(513)*-2 + sqrt(57))/sqrt(3)*-4)**2.
-304 - sqrt(19)/8
Simplify 1*sqrt(704)*1 - 4*(sqrt(704) + -2 - sqrt(704))**2 - (2*(sqrt(704) + -4) + -4 + -3*sqrt(704))* | {
"pile_set_name": "DM Mathematics"
} |
in increasing order.
-4, -2, p, 0
Let k(f) = 4*f - 3. Let j(n) = 23*n - 19. Let a(s) = -6*j(s) + 34*k(s). Let h be a(6). Put h, 0.4, 4 in ascending order.
h, 0.4, 4
Let l be 2/6*(25 + 8). Put 4, -2/5, l in descending order.
l, 4, -2/5
Let n be -3 - -13*(-3 + 2). Let v = n + 17. Let k = 0.5 - 0.3. Sort k, 0, v in decreasing order.
v, k, 0
Let x be -1 - ((-12)/5 - -1). Let o = -18 - -56/3. Sort o, -3, x in descending order.
o, x, -3
Let i be (-2 - 0) + 23/11. Let h = -7 - -2. Sort i, 4, h in descending order.
4, i, h
Let x(b) = -2*b + 15. Let n be x(5). Sort 3, n, 2, -1 in decreasing order.
n, 3, 2, -1
Let q = 92.8 - 93. Put 10/3, 2/7, q, 3 in descending order.
10/3, 3, 2/7, q
Suppose 7 + 1 = -2*y - i, -3*i + 31 = -5*y. Let m = -3 - -6. Let d = 11 + -7. Put y, d, m in descending order.
d, m, y
Suppose -3*c + 7*c - 8 = 0. Suppose 5*k = 5*y - 15, -5*y - 2 = 3. Let w = k + 8. Sort 1, w, c in increasing order.
1, c, w
Let k be 4*3/18*6. Suppose -5 = -k*t - 17. Sort -2, 4, t.
t, -2, 4
Suppose 5*h = -13 + 23. Let i = h - -2. Sort 3, i, 1 in ascending order.
1, 3, i
Let g = -160 + 165. Let u = 31 + -19. Sort g, -4, u.
-4, g, u
Let x(n) = n - 1. Let z be x(2). Let g = -15 + 24. Let f = g + -5. Sort z, 0.3, f in decreasing order.
f, z, 0.3
Let q = 0.2 - 0.4. Let c = -22 + 14. Let u = -6 - c. Sort 0.1, u, q in decreasing order.
u, 0.1, q
Let v = -1.42 + -0.08. Let s = 1.4 + v. Put s, 5, -1/6 in decreasing order.
5, s, -1/6
Let i(u) = 4*u**2 - 20*u - 3. Let v be i(6). Put -4, v, -2, 3 in ascending order.
-4, -2, 3, v
Let x = -105 + 104. Sort x, 5, 1, 2.
x, 1, 2, 5
Let k = 0.14 - -2.86. Let l = -0.3 - 3.7. Let j = 12 + -8. Put j, k, l in increasing order.
l, k, j
Let u = 30 + -31. Put -4, u, -5, -0.2 in increasing order.
-5, -4, u, -0.2
Let m be (-3 + 0)/(-5 + -7 + 11). Put 0, -4, 1, m in decreasing order.
m, 1, 0, -4
Let a(t) = -t**3 + 4. Let s be a(0). Suppose 5*i - i - s = 0. Let g = -6 + i. Sort 4, 3, g in descending order.
4, 3, g
Let j(w) = w**2 - 3*w + 5. Let u(t) = 2*t**2 - 7*t + 10. Let l(q) = -7*j(q) + 4*u(q). Let a be l(6). Put 3, 4, a in ascending order.
a, 3, 4
Suppose 0 = 3*p - 2*p - 10. Let g(z) = z - 13. Let h be g(p). Let k = 2 + h. Sort 4, k, 5 in ascending order.
k, 4, 5
Suppose 0 + 6 = 3*n. Let b be (4 + -6)*n/(-7). Sort 0.1, -0.1, b in decreasing order.
b, 0.1, -0.1
Suppose -27 = q - 0*q + 5*b, -2*b = -5*q. Let r be 3 - 1*(-1 + (-1)/(-1)). Sort q, 4, r.
q, r, 4
Let x be (3/(-5))/((-6)/(-4)). Let p = -9 - -12. Sort p, 0, x in decreasing order.
p, 0, x
Let c = 17 - 12. Put -0.2, c, -16 in decreasing order.
c, -0.2, -16
Let x = -0.01 - 0. Let i = x - 0.09. Sort 1/3, 1, i in increasing order.
i, 1/3, 1
Let y = 17 - 10. Suppose -2*l - 10 = -y*l. Put l, 4, 0 in increasing order.
0, l, 4
Suppose 4*o = 7*o + 33. Let k = o - -11. Put 4, k, 5 in increasing order.
k, 4, 5
Suppose 6*h - 2 = -8. Let s = -1 - -1.2. Put h, s, 2 in ascending order.
h, s, 2
Let y = -2.96 - 0.04. Let x = 10 + -8. Sort x, y, -3/4.
y, -3/4, x
Let g = -11 + 10.7. Let x = 0.5 + g. Let v = -1 - 3. Put -0.3, v, x in increasing order.
v, -0.3, x
Let p = 0.63 + -0.43. Sort -2/9, p, -0.5, -5 in descending order.
p, -2/9, -0.5, -5
Let i = 24 + -25. Sort -4, i, -7 in decreasing order.
i, -4, -7
Suppose -4*v + 2 = -2*v + 2*q, -3*q - 2 = -2*v. Put 3, 2, v in increasing order.
v, 2, 3
Let g be (3/5)/(11/55). Sort 1, 0, g in increasing order.
0, 1, g
Let n be 4 - 8 - 34/(-8). Put n, 0, 2/45 in ascending order.
0, 2/45, n
Suppose 4*x = -3*y + y + 40, 2*x - 40 = -3*y. Let t(j) = -8*j - 1. Let v be t(-1). Let a = v - y. Sort a, 2, -4 in ascending order.
-4, a, 2
Suppose 3 = -s - 4*q, -s - 2*q = 3*q + 3. Let m(v) = v**3 + 3*v**2 + v + 2. Let y be m(s). Let u be (-2)/(y - (3 - 6)). Sort u, 4, 2.
u, 2, 4
Suppose i + 10 = -0*i - 3*g, 3*i - 2*g = 25. Let z(x) be the second derivative of x**5/20 + x**4/6 - x**3/2 + 3*x**2/2 - x. Let f be z(-3). Sort i, -3, f.
-3, f, i
Let x = -2 + 2.04. Let a = x - 0.54. Put 5, a, -1 in descending order.
5, a, -1
Let v be -1*3*2/(-6). Put 14, -4, v in ascending order.
-4, v, 14
Let r be 1*(6 + -1 + 0). Let c = 8 + -9. Sort r, -2, c in descending order.
r, c, -2
Let h = 6 + -8. Suppose p - 2 = -7. Let t = p - h. Put -5, 4, t in ascending order.
-5, t, 4
Suppose 13 = l + 4*y, 2*l - 153 = -3*l + 2*y. Sort -3, 0, -1, l.
-3, -1, 0, l
Suppose -5*v = -4*v. Suppose 8 = -v*x + 2*x. Put 2, -1/7, x in ascending order.
-1/7, 2, x
Let f be (6 - 2) + 3 + -2. Suppose -h + f = 0, -3*h + 32 = 2*q + 11. Put q, -2, 2 in descending order.
q, 2, -2
Let n = 353 - 5297/15. Put -3, 3, n, 2 in decreasing order.
3, 2, n, -3
Let z(l) = l + 2. Let o(p) = -3*p - 5. Let g(i) = 2*o(i) + 5*z(i). Let f be g(2). Sort f, 1, 5 in increasing order.
f, 1, 5
Suppose 3*y - 8 = -2. Suppose -m - 9 = y*m. Sort 4, 2, m in ascending order.
m, 2, 4
Let g = 3 + -8. Let p = 0.04 + 4.96. Sort g, p, -1.
g, -1, p
Let n be (-25)/9 - (-4)/(-18). Let u = -1 - 0. Sort u, n, 3.
n, u, 3
Let v = -0.056 + -0.144. Put -2, v, -14, 0.2 in decreasing order.
0.2, v, -2, -14
Suppose 5*j - 3*f - 8 = 4, 4*f = j - 16. Suppose 20 = -5*s, 3*s = -5*p + 7 + 6. Sort p, 2, j in decreasing order.
p, 2, j
Suppose 3*z = -5*c - 20, -3*z - 5*c + c = 19. Sort 5, 1, z in decreasing order.
5, 1, z
Let q = -3.3 + 3.5. Put -5, q, 7, -3 in decreasing order.
7, q, -3, -5
Suppose -3*a = -4*g, 3*a - 5*g = -0*a + 3. Sort a, 1, 10.
a, 1, 10
Suppose -x + 5 = -0. Suppose 4*p - 3*p = -2. Put x, 2, p in descending order.
x, 2, p
Let l = -43 - -46. Sort l, 2, -5, -1 in descending order.
l, 2, -1, -5
Let t be (-15)/(-25) - (-56)/(-10). Suppose 4*f + 9 - 29 = 0. Suppose 3*w - f = 1. Sort t, w, -4 in descending order.
w, -4, t
Let g = -5 - 1. Let u = 6 + g. Sort -0.4, u, 4 in decreasing order.
4, u, -0.4
Let z = -0.12 - 4.88. Let g = 0.4 - -2.6. Sort g, z, 0.4 in increasing order.
z, 0.4, g
Let l = -0.05 - -3.05. Let y(b) = -b**2 - 11*b + 56. Let p be y(-15). Sort 0.5, l, p in increasing order.
p, 0.5, l
Let q = -0.23 - -0.13. Put q, 0.5, -0.3 in decreasing order.
0.5, q, -0.3
Let a be (-2 - 8/(-6))*9. Let b be (4/a)/(2/(-15)). Sort b, -5, 2 in decreasing order.
b, 2, -5
Suppose -2*w + 2 = -2. Put -0.3, w, -3 in decreasing order.
w, -0.3, -3
Let s = 12416/279 + -212/93. Let c = -42 + s. Sort c, -0.4, -2.
-2, -0.4, c
Suppose 0*k - 3*k = -9. Let p = k - 1. Let q = -6 + p. Put q, -1, 5 in descending order.
5, -1, q
Suppose 0 = -6*f - 28 - 2. Sort f, 4, -2, 12 in decreasing order.
12, 4, -2, f
Let r = 7 + -2. Let u(n) = -n + 2. Let z be u(-2). Suppose 2*y = 0, -y + z = 2*s + 2*y. Put s, -1, r in descending order.
r, s, -1
Let j = -0.32 - -7.32. Sort 2, j, -4.
-4, 2, j
Suppose -3 = -4*f + 3*f. Let u = f + 2. Sort 4, u, -1 in ascending order.
-1, 4, u
Suppose -5*q + 10 = -10*q. Sort 4, q, -1.
q, -1, 4
Let o(x) = x - 11. Let w = -21 - -30. Let y be o(w). Suppose -4*p + 16 = -0*p, -4*c - 3*p + 32 = 0. Put c, -4, y in descending order.
c, y, -4
Let w = 22 - 22.2. Let s = -5.08 - -0.08. Sort s, 6, w in increasing order.
s, w, 6
Let m(f) = f**2 - 5*f. Let r be m(4). Let b be 3/(-6)*(-2 - r). Sort -2, 4, b in descending order.
4, b, -2
Let w = 0.7 - -0.3. Let d be ((-60)/(-28))/((-6)/(-20)). Let y = -221/28 + d. Sort y, 0.4, w in increasing order.
y, 0.4, w
Let d = 91 - 92. Sort 1, 0.2, -0.2, d in ascending order.
d, -0.2, 0.2, 1
Suppose -15 = 5*v - 95. Sort v, 4, 3, 1 in increasing order.
1, 3, 4, v
Let b(i) = 2*i - 2. Let q be b(2). Suppose 2*t - 9 = 5*s, 4*s - 5 + q = 5*t. Suppose -4*v = 7 + 1. Put 6, v, t in increasing order.
t, v, 6
Suppose 4*n + 10 = 26. Let l(a) = 7*a**2 - a + 2. Let b be l(1). Let z be ((-8)/n)/(b/(-2)). Sort 4, 2, z.
z, 2, 4
Let x = -5 + 3. Let n be 4/x - (1 - 2). Sort 5, -4, n in increasing order.
-4, n, 5
Let j(g) = g**2 - 3*g + 4. Let o be j(3). Suppose 0 = -0*z - 2*z + 2. Sort o, z, 5 in decreasing order.
5, o, z
Let w = 97 + -189/2. Sort w, 1, 2, -1 in decreasing order.
w, 2, 1, -1
Let o = 7 - 16. Let l = -3 + 9. Let k be (-2)/(1/(o/l)). Put 0, -3, k in decreasing order.
k, 0, -3
Let s = -26 + 30. Sort 0.05, -2, s in ascending order.
-2, 0.05, s
Let s = -42 + 45. Suppose -4 = 2*y + 2, 2*f - 4*y - 14 = 0. Sort f, s, 2 in ascending order.
f, 2, s
Let f(y) = -y + 0 + 0 + y**3 + 2*y**2 - 5*y**2. Let v be f(3). Put -1, -4, v in decreasin | {
"pile_set_name": "DM Mathematics"
} |
4. Suppose 3*n = 2*q + t, 3*n = 4*n + 4*q - 58. What are the prime factors of n?
2, 3, 7
Let z(m) = m**3 - 7*m**2 + 4*m + 7. Let x be z(6). Let t be (-256)/7 - 60/140. Let h = x - t. List the prime factors of h.
2
Suppose -1248 = -7*j + j. Suppose -o + 4*b + j = 0, 4*o + 5*b - 48 = 742. What are the prime factors of o?
2, 5
List the prime factors of ((-52)/(-65))/((-3)/(-285)).
2, 19
Let o be 60/(-1)*(-39)/12. Suppose 58 = -4*j - 3*n + o, -j - 2*n + 38 = 0. What are the prime factors of j?
2
Let m = 208 + 149. List the prime factors of m.
3, 7, 17
Let l be (-4 + 1)/(3/(-62)). Suppose -66 = -4*n + x + l, -4*x + 64 = 2*n. List the prime factors of n.
2
Suppose 11*a = 10*a + 123. What are the prime factors of a?
3, 41
Let w(t) = -3*t**3 - 7*t**2 + 52*t - 14. List the prime factors of w(-9).
2, 569
Suppose 5*v + 5*p - 7*p - 960 = 0, 766 = 4*v - 2*p. List the prime factors of v.
2, 97
What are the prime factors of (-59 + 17)*(-11 + -2)?
2, 3, 7, 13
Let p(l) = 1 + 2 - 8*l - 1 + 27*l. List the prime factors of p(5).
97
Let y = 2010 - 1006. List the prime factors of y.
2, 251
Let k be ((-18)/45)/((-4)/10) + 206. Suppose 4*x = x + k. What are the prime factors of x?
3, 23
Suppose 3 + 2 = 3*t - 2*b, -5*t + 4*b + 7 = 0. Let q = 147 + -138. Suppose q = 3*d, 0*y + t*d - 21 = -4*y. List the prime factors of y.
3
Let g(v) = -v**3 + 24*v**2 - 23*v + 18. Let u be g(23). Suppose -348 = -5*b - u. List the prime factors of b.
2, 3, 11
Let i = 32 + -11. Let q = 9 - i. Let g = q - -17. List the prime factors of g.
5
Let k = 34 + -3. Let o = k - 58. Let v = 51 + o. What are the prime factors of v?
2, 3
Let a = 13199 + -7191. List the prime factors of a.
2, 751
Let d be ((-12)/(-8))/((-1)/2). Let a be 5/10 + 58/4. Let m = a - d. List the prime factors of m.
2, 3
Suppose 2 = -4*l - 5*c - 7, 2*c + 6 = -l. Suppose -4*b + 5*v = -85, -5*v + 11 + l = b. What are the prime factors of b?
2, 5
Suppose -3*x = 4*d - 2201, -8*d + 3*d - 1475 = -2*x. List the prime factors of x.
3, 5, 7
Suppose -7*m - 767 + 2139 = 0. Suppose n + 0*h = 4*h + 36, 0 = -4*n + 3*h + m. List the prime factors of n.
2, 13
List the prime factors of (-64)/(-14) + -4 - 1809/(-7).
7, 37
Let a(b) = 3*b - 2. Let g be a(4). Let j(s) = -s**2 + 10*s + 10. List the prime factors of j(g).
2, 5
Let i be ((-200)/(-15))/(6/9). List the prime factors of 83 + (i/(-4) - -7).
5, 17
Let b(m) = m - 7. Let n be b(9). What are the prime factors of 2718/63 + n/(-14)?
43
Suppose 7*k = 6*k + 4. Suppose -k*i + 25 = 1. Let s(u) = -u**3 + 7*u**2 - 5*u - 3. List the prime factors of s(i).
3
Suppose -6*v + v + 635 = -5*u, 2*u = -3*v + 361. Let r = 177 - v. List the prime factors of r.
2, 3
Suppose 4*t + t - 1835 = 0. List the prime factors of t.
367
Suppose 24431 = 35*d - 11479. What are the prime factors of d?
2, 3, 19
Let d = -68 - -64. Let b(o) = o + 19. List the prime factors of b(d).
3, 5
Suppose -10824 = -18*a + 38640. What are the prime factors of a?
2, 3, 229
Let m be (16/4)/(4/10). Let u be 3 - 2*6/(-4). List the prime factors of (76/m)/(u/15).
19
Suppose -l = -6*l + 250. Let c = l + 8. List the prime factors of c.
2, 29
Suppose 5 + 5 = 2*u. Suppose 3 = p + u. List the prime factors of 96/16 - (p - 1).
3
What are the prime factors of (-2 - (-36)/(-27))/(2/(-165))?
5, 11
Let k = -1015 + 1630. List the prime factors of k.
3, 5, 41
Suppose 0 = 4*f - 2147 - 509. Suppose -f = -4*j - 132. List the prime factors of j.
7, 19
Let c = 4 + 6. Let j(d) = d**3 - 10*d**2 + 14. What are the prime factors of j(c)?
2, 7
Suppose -424 - 220 = 7*c. What are the prime factors of (-10)/15 + 2/3 - c?
2, 23
Let g(q) = q + 13. Let l be g(-5). Suppose l*v - 229 = 75. List the prime factors of v.
2, 19
Let d(t) be the third derivative of t**5/60 - 7*t**4/24 - 11*t**3/6 + 12*t**2. What are the prime factors of d(-11)?
11, 17
Suppose 3*n - 4*p - p - 173 = 0, 59 = n - 3*p. Let y(z) = -z**3 - 6*z**2 - 2*z - 9. Let o be y(-6). Suppose -n - 31 = -o*d. What are the prime factors of d?
29
Let r(i) = 72*i + 116. What are the prime factors of r(31)?
2, 587
Suppose -s + 5*f = -1, -s - 2*f = -0*s - 8. Suppose 0 = -s*t - t + 245. What are the prime factors of t?
5, 7
Let t(j) = -4*j**2 + 107*j + 45. List the prime factors of t(27).
2, 3
Let d = 7491 - 3654. What are the prime factors of d?
3, 1279
Let p(j) = -7*j - 7. Let m be p(-7). Suppose 4*s - 2*l + 184 = m, 4*s - l + 137 = 0. What are the prime factors of 0 + -2 - 0 - s?
31
Suppose w = h + 5*w - 119, 4*w + 475 = 5*h. What are the prime factors of h?
3, 11
Let m be 4*(-75)/(-18)*9/30. What are the prime factors of 1 + -3 + m - (-85 - -1)?
3, 29
Let a be 2 - 0 - -2 - -276. Suppose 0 = 3*d + 4*l - 168, -d + l = 4*d - a. List the prime factors of d.
2, 7
Suppose 5*c = 15, 0 = -5*q - 2*c - 2*c + 917. List the prime factors of q.
181
What are the prime factors of -48 + 2179 + 2/(-1)?
2129
List the prime factors of (529 - 2)*(-2)/(6/(-3)).
17, 31
Let i = 607 - -92. List the prime factors of i.
3, 233
Let b(g) = -2*g**2 + 2*g + 2. Let j be b(3). Let u = 0 + j. Let k = u - -14. List the prime factors of k.
2
Let f(a) = -a**3 - a**2. Let b be f(0). Suppose b = -w + 5*w - 5*r - 101, -w + r + 25 = 0. What are the prime factors of w?
2, 3
Suppose 18 = 5*j - 2*j. Suppose s = -0*s + j. What are the prime factors of s?
2, 3
Let u(j) = -j + 8. Suppose 18 = 4*b - 2*r, b - 3 = -b - 5*r. Let y be u(b). Suppose -y*o + 0 = -148. What are the prime factors of o?
37
Suppose 2*m - m = 1. Suppose y - 5 = m. Let i(d) = 2*d**2 - 6*d - 4. What are the prime factors of i(y)?
2
Suppose -3*i + 6*i - 6 = 0. Suppose 3*a - 62 = -2*y + 141, i*y + 5*a - 193 = 0. What are the prime factors of y?
109
Suppose 3*c + 5 = 8*c, u = 4*c + 721. What are the prime factors of u?
5, 29
Let q = 4 - 2. Let j(d) = -d**3 - 2*d**2 - d + 1. Let t(m) = -5*m**3 - 11*m**2 - 4*m + 5. Let l(x) = -11*j(x) + 2*t(x). List the prime factors of l(q).
13
Let b(s) be the second derivative of s**5/20 + 2*s**4/3 - 8*s**3/3 - 4*s**2 + 24*s. What are the prime factors of b(-9)?
5, 11
Let o = 8 - 4. Suppose 26 = 4*i + 3*d, -i - 3*d = -d - o. List the prime factors of 444/16 - (-2)/i.
2, 7
Let w(j) = -4*j**2 + 2*j + 6. Let t(g) = -11*g**2 + 6*g + 18. Let f(h) = -3*t(h) + 8*w(h). Let r be f(6). List the prime factors of (r + 0)/(3/4).
2, 3
Let l be 4 + (-7)/(14/4). Let p be (-30)/4 + (-1)/l. What are the prime factors of -3*(p/2)/4?
3
Suppose 48 = h - 5*v, h + v = -4*h + 240. Let r = h - -37. What are the prime factors of r?
5, 17
Let g(y) = -y**3 - 2*y**2 - 2*y + 4622. What are the prime factors of g(0)?
2, 2311
Suppose h = 4*s + 211 + 232, -5*h + 2307 = 3*s. List the prime factors of h.
3, 17
Let z be (-2)/8 - (-5)/4. Let r be z + 1 + (4 - 2). Suppose 0*s - r*s = -88. What are the prime factors of s?
2, 11
Let m be 420/26 - (-6)/(-39). Suppose -m*f + 33 = -15*f. List the prime factors of f.
3, 11
Suppose 0 = -0*f - f + 4. Suppose -f*c + 0 + 100 = 0. List the prime factors of c.
5
Let c(f) = 92*f - 1044. What are the prime factors of c(16)?
2, 107
Let b(n) = 609*n + 354. List the prime factors of b(4).
2, 3, 5, 31
Let t be (-3)/((-2)/6 - (-23)/42). Let r = 24 - t. What are the prime factors of r?
2, 19
Let a be 6*(33/(-9) + 4). List the prime factors of 19/1 - 8/a.
3, 5
Let n(h) = -h**2 - 4*h - 4. Let m be n(-3). Let v be (1/(2/16))/(-1). What are the prime factors of 1/(m + (-9)/v)?
2
Let r(m) = -2*m - 1. Let j be r(-4). Let h(u) = -2*u - 10. Let o be h(2). What are the prime factors of (-6)/o - (-354)/j?
3, 17
List the prime factors of 45*2*(765/27)/5.
2, 3, 5, 17
Let h(i) = -3*i**2 + 5*i + 2. Let o(u) = -13*u**2 + 20*u + 7. Let y(f) = -9*h(f) + 2*o(f). Let m be y(-3). Suppose q - m = -q. List the prime factors of q.
2, 5
Suppose 3*q + 2*g = 2, 3*q - 6*g + 2*g + 4 = 0. Suppose -5*p - w + 137 + 120 = 0, -p - 3*w + 57 = q. What are the prime factors of p?
3, 17
Let s = 49 + -37. Suppose -4*a - 4*i + 251 = -7*i, -4*i + s = 0. List the prime factors of a.
5, 13
Suppose -43*w - 12852 = -60*w. List the prime factors of w.
2, 3, 7
Suppose -2*i - 4*z = -830, 0 = 3*i - 4*z - 433 - 802. What are the prime factors of i?
7, 59
Suppose 4*c - 3*w - w + 8 = 0, 31 = 2*c + 5*w. Suppose -2*h - 1 = -c*h, 2*h - 5 = -t. Suppose t*o = 2*o + 2. List the prime factors of o.
2
Suppose -4*b - 4*b + | {
"pile_set_name": "DM Mathematics"
} |
164.
40
Calculate the remainder when 713 is divided by 11.
9
What is the remainder when 389 is divided by 78?
77
What is the remainder when 356 is divided by 71?
1
Calculate the remainder when 96 is divided by 84.
12
What is the remainder when 232 is divided by 139?
93
What is the remainder when 1649 is divided by 74?
21
What is the remainder when 1048 is divided by 50?
48
What is the remainder when 264 is divided by 136?
128
Calculate the remainder when 1440 is divided by 39.
36
Calculate the remainder when 4861 is divided by 17.
16
Calculate the remainder when 1768 is divided by 343.
53
What is the remainder when 3483 is divided by 1159?
6
Calculate the remainder when 50 is divided by 8.
2
Calculate the remainder when 6186 is divided by 4.
2
What is the remainder when 1304 is divided by 649?
6
What is the remainder when 177 is divided by 71?
35
What is the remainder when 504 is divided by 129?
117
What is the remainder when 4438 is divided by 60?
58
Calculate the remainder when 470 is divided by 79.
75
What is the remainder when 1186 is divided by 585?
16
What is the remainder when 435 is divided by 109?
108
Calculate the remainder when 961 is divided by 13.
12
Calculate the remainder when 12 is divided by 2.
0
Calculate the remainder when 85 is divided by 10.
5
Calculate the remainder when 422 is divided by 215.
207
Calculate the remainder when 239 is divided by 116.
7
What is the remainder when 435 is divided by 110?
105
What is the remainder when 218 is divided by 86?
46
What is the remainder when 80 is divided by 40?
0
What is the remainder when 841 is divided by 64?
9
Calculate the remainder when 233 is divided by 63.
44
Calculate the remainder when 634 is divided by 195.
49
What is the remainder when 10385 is divided by 47?
45
What is the remainder when 315 is divided by 6?
3
What is the remainder when 396 is divided by 8?
4
Calculate the remainder when 172 is divided by 50.
22
What is the remainder when 161 is divided by 11?
7
Calculate the remainder when 341 is divided by 325.
16
What is the remainder when 841 is divided by 163?
26
Calculate the remainder when 115 is divided by 61.
54
Calculate the remainder when 1607 is divided by 134.
133
Calculate the remainder when 30 is divided by 4.
2
Calculate the remainder when 56 is divided by 10.
6
What is the remainder when 177 is divided by 160?
17
What is the remainder when 4719 is divided by 8?
7
What is the remainder when 1059 is divided by 256?
35
Calculate the remainder when 877 is divided by 88.
85
What is the remainder when 260 is divided by 72?
44
What is the remainder when 12 is divided by 4?
0
What is the remainder when 491 is divided by 126?
113
Calculate the remainder when 2775 is divided by 925.
0
What is the remainder when 59 is divided by 4?
3
What is the remainder when 211 is divided by 74?
63
Calculate the remainder when 143 is divided by 42.
17
Calculate the remainder when 666 is divided by 191.
93
Calculate the remainder when 1349 is divided by 45.
44
Calculate the remainder when 79 is divided by 18.
7
What is the remainder when 235 is divided by 143?
92
Calculate the remainder when 285 is divided by 50.
35
Calculate the remainder when 32 is divided by 11.
10
What is the remainder when 208 is divided by 20?
8
Calculate the remainder when 731 is divided by 249.
233
Calculate the remainder when 322 is divided by 237.
85
What is the remainder when 521 is divided by 58?
57
What is the remainder when 150 is divided by 19?
17
Calculate the remainder when 312 is divided by 35.
32
What is the remainder when 72 is divided by 39?
33
What is the remainder when 11065 is divided by 31?
29
What is the remainder when 156 is divided by 48?
12
Calculate the remainder when 833 is divided by 49.
0
Calculate the remainder when 1671 is divided by 140.
131
Calculate the remainder when 1450 is divided by 22.
20
What is the remainder when 5 is divided by 4?
1
Calculate the remainder when 4228 is divided by 10.
8
What is the remainder when 487 is divided by 78?
19
Calculate the remainder when 697 is divided by 62.
15
Calculate the remainder when 398 is divided by 101.
95
Calculate the remainder when 321 is divided by 295.
26
What is the remainder when 82 is divided by 5?
2
Calculate the remainder when 1709 is divided by 143.
136
What is the remainder when 101 is divided by 12?
5
What is the remainder when 480 is divided by 21?
18
What is the remainder when 26138 is divided by 15?
8
What is the remainder when 2065 is divided by 24?
1
Calculate the remainder when 349 is divided by 25.
24
What is the remainder when 6715 is divided by 240?
235
Calculate the remainder when 512 is divided by 40.
32
What is the remainder when 21772 is divided by 67?
64
Calculate the remainder when 50156 is divided by 31.
29
Calculate the remainder when 1614 is divided by 325.
314
Calculate the remainder when 113 is divided by 38.
37
What is the remainder when 58 is divided by 58?
0
What is the remainder when 204 is divided by 23?
20
Calculate the remainder when 1034 is divided by 98.
54
Calculate the remainder when 87 is divided by 77.
10
What is the remainder when 45 is divided by 18?
9
What is the remainder when 76 is divided by 40?
36
What is the remainder when 396 is divided by 10?
6
What is the remainder when 1769 is divided by 10?
9
What is the remainder when 78 is divided by 43?
35
What is the remainder when 1495 is divided by 18?
1
Calculate the remainder when 14 is divided by 9.
5
Calculate the remainder when 38 is divided by 21.
17
Calculate the remainder when 1215 is divided by 568.
79
Calculate the remainder when 2438 is divided by 13.
7
Calculate the remainder when 11414 is divided by 62.
6
Calculate the remainder when 66 is divided by 43.
23
What is the remainder when 687 is divided by 335?
17
Calculate the remainder when 775 is divided by 26.
21
What is the remainder when 5124 is divided by 25?
24
What is the remainder when 98 is divided by 6?
2
What is the remainder when 94 is divided by 49?
45
What is the remainder when 166 is divided by 37?
18
Calculate the remainder when 1761 is divided by 4.
1
What is the remainder when 1122 is divided by 114?
96
What is the remainder when 1326 is divided by 18?
12
What is the remainder when 72 is divided by 37?
35
Calculate the remainder when 79 is divided by 10.
9
Calculate the remainder when 260 is divided by 85.
5
What is the remainder when 307 is divided by 8?
3
Calculate the remainder when 413 is divided by 78.
23
What is the remainder when 105 is divided by 55?
50
What is the remainder when 89 is divided by 25?
14
What is the remainder when 5905 is divided by 4?
1
What is the remainder when 135 is divided by 65?
5
Calculate the remainder when 1622 is divided by 162.
2
What is the remainder when 21183 is divided by 99?
96
What is the remainder when 2868 is divided by 125?
118
Calculate the remainder when 1214 is divided by 313.
275
What is the remainder when 2426 is divided by 16?
10
Calculate the remainder when 4715 is divided by 36.
35
Calculate the remainder when 238 is divided by 15.
13
What is the remainder when 3541 is divided by 1162?
55
What is the remainder when 403 is divided by 93?
31
What is the remainder when 108 is divided by 2?
0
What is the remainder when 6720 is divided by 81?
78
Calculate the remainder when 841 is divided by 79.
51
Calculate the remainder when 3564 is divided by 28.
8
Calculate the remainder when 1096 is divided by 48.
40
What is the remainder when 63 is divided by 36?
27
What is the remainder when 465 is divided by 12?
9
Calculate the remainder when 3637 is divided by 10.
7
Calculate the remainder when 331 is divided by 119.
93
What is the remainder when 207 is divided by 105?
102
What is the remainder when 5683 is divided by 49?
48
Calculate the remainder when 105 is divided by 19.
10
What is the remainder when 44 is divided by 43?
1
What is the remainder when 9691 is divided by 9?
7
What is the remainder when 3726 is divided by 266?
2
Calculate the remainder when 36041 is divided by 29.
23
What is the remainder when 521 is divided by 47?
4
Calculate the remainder when 657 is divided by 186.
99
Calculate the remainder when 124 is divided by 64.
60
Calculate the remainder when 194 is divided by 54.
32
Calculate the rem | {
"pile_set_name": "DM Mathematics"
} |
4, 69, 352, 769, 1314, 1981?
-v**3 + 76*v**2 - 78*v - 71
What is the h'th term of -5472, -10937, -16400, -21861?
h**2 - 5468*h - 5
What is the w'th term of -910, -7233, -24396, -57817, -112914?
-903*w**3 - 2*w**2 + 4*w - 9
What is the s'th term of -3326, -13227, -29700, -52721, -82266, -118311?
4*s**3 - 3310*s**2 + s - 21
What is the r'th term of 346, 321, 286, 235, 162?
-r**3 + r**2 - 21*r + 367
What is the l'th term of 2425, 4775, 7123, 9469, 11813?
-l**2 + 2353*l + 73
What is the f'th term of -243, -662, -1337, -2262, -3431, -4838, -6477, -8342?
f**3 - 134*f**2 - 24*f - 86
What is the f'th term of 315, 760, 1341, 2058, 2911, 3900, 5025?
68*f**2 + 241*f + 6
What is the d'th term of 1948, 1796, 1644?
-152*d + 2100
What is the t'th term of -4517, -4516, -4515, -4514, -4513, -4512?
t - 4518
What is the y'th term of 2939151, 2939152, 2939153, 2939154?
y + 2939150
What is the h'th term of -7797, -62437, -210749, -499569, -975733, -1686077?
-7806*h**3 + 2*h + 7
What is the s'th term of -2781, -4364, -7003, -10698, -15449, -21256?
-528*s**2 + s - 2254
What is the x'th term of -3966, -15979, -36024, -64107, -100234, -144411?
-x**3 - 4010*x**2 + 24*x + 21
What is the m'th term of 66508, 66508, 66498, 66472, 66424?
-m**3 + m**2 + 4*m + 66504
What is the p'th term of 945, 7453, 25011, 59109, 115237, 198885?
915*p**3 + 35*p**2 - 2*p - 3
What is the k'th term of -744, -856, -1036, -1290, -1624, -2044?
-k**3 - 28*k**2 - 21*k - 694
What is the m'th term of 6758, 6741, 6710, 6659, 6582, 6473, 6326?
-m**3 - m**2 - 7*m + 6767
What is the q'th term of -172, -281, -326, -307, -224, -77?
32*q**2 - 205*q + 1
What is the f'th term of -92, -444, -1436, -3386, -6612, -11432, -18164?
-53*f**3 - 2*f**2 + 25*f - 62
What is the b'th term of -12285, -12255, -12225, -12195?
30*b - 12315
What is the t'th term of 1513, 1894, 2275, 2656, 3037, 3418?
381*t + 1132
What is the q'th term of 20401, 20396, 20387, 20374, 20357, 20336, 20311?
-2*q**2 + q + 20402
What is the x'th term of 36004, 36006, 36008, 36010, 36012, 36014?
2*x + 36002
What is the g'th term of -576, -1181, -1786?
-605*g + 29
What is the i'th term of 270, 1844, 6036, 14154, 27506, 47400, 75144?
218*i**3 + i**2 + 45*i + 6
What is the w'th term of 341, 307, 273, 239?
-34*w + 375
What is the g'th term of -401, -702, -1001, -1298?
g**2 - 304*g - 98
What is the r'th term of 613, 747, 881?
134*r + 479
What is the u'th term of -1716, -1690, -1624, -1512, -1348?
u**3 + 14*u**2 - 23*u - 1708
What is the l'th term of -17, -67, -157, -293, -481, -727?
-l**3 - 14*l**2 - l - 1
What is the s'th term of -1229069, -1229070, -1229071, -1229072, -1229073?
-s - 1229068
What is the t'th term of 200, 375, 550?
175*t + 25
What is the v'th term of -4975, -10322, -16009, -22030, -28379, -35050?
v**3 - 176*v**2 - 4826*v + 26
What is the j'th term of 389390, 389385, 389378, 389369, 389358, 389345, 389330?
-j**2 - 2*j + 389393
What is the l'th term of -269, -97, 41, 127, 143, 71, -107, -409?
-3*l**3 + l**2 + 190*l - 457
What is the s'th term of 970, 1788, 2604, 3418, 4230?
-s**2 + 821*s + 150
What is the d'th term of 25757, 51516, 77275, 103034?
25759*d - 2
What is the s'th term of -240, -421, -552, -633?
25*s**2 - 256*s - 9
What is the u'th term of -10992, -11096, -11200, -11304, -11408?
-104*u - 10888
What is the w'th term of -1445, -1448, -1447, -1436, -1409?
w**3 - 4*w**2 + 2*w - 1444
What is the b'th term of 41241, 82503, 123767, 165033, 206301, 247571?
b**2 + 41259*b - 19
What is the d'th term of -691, -2714, -6077, -10780, -16823, -24206, -32929?
-670*d**2 - 13*d - 8
What is the j'th term of -1964, -1967, -1978, -1997, -2024?
-4*j**2 + 9*j - 1969
What is the k'th term of -44297, -88577, -132857?
-44280*k - 17
What is the a'th term of 1771, 1492, 1019, 346, -533, -1624?
-a**3 - 91*a**2 + a + 1862
What is the u'th term of 252, 291, 330?
39*u + 213
What is the c'th term of 859, 1719, 2575, 3427, 4275, 5119, 5959?
-2*c**2 + 866*c - 5
What is the x'th term of 24946, 49895, 74844, 99793, 124742, 149691?
24949*x - 3
What is the v'th term of -228, -366, -592, -906, -1308?
-44*v**2 - 6*v - 178
What is the y'th term of 65747, 65746, 65743, 65738, 65731?
-y**2 + 2*y + 65746
What is the z'th term of -4579, -17779, -39779, -70579, -110179, -158579?
-4400*z**2 - 179
What is the h'th term of -854172, -854170, -854168, -854166?
2*h - 854174
What is the w'th term of -11220, -11208, -11186, -11154?
5*w**2 - 3*w - 11222
What is the q'th term of 92814, 185565, 278318, 371073, 463830, 556589?
q**2 + 92748*q + 65
What is the z'th term of -26741, -26923, -27103, -27281, -27457?
z**2 - 185*z - 26557
What is the n'th term of -3227, -12881, -28981, -51533, -80543, -116017?
-n**3 - 3217*n**2 + 4*n - 13
What is the v'th term of -3203339, -3203337, -3203335, -3203333, -3203331, -3203329?
2*v - 3203341
What is the u'th term of -166133, -332268, -498403, -664538, -830673, -996808?
-166135*u + 2
What is the x'th term of -6051, -11660, -17267, -22872, -28475?
x**2 - 5612*x - 440
What is the t'th term of -243, -166, -29, 174, 449, 802, 1239, 1766?
t**3 + 24*t**2 - 2*t - 266
What is the t'th term of 493, 518, 543, 568, 593, 618?
25*t + 468
What is the x'th term of 186, 433, 678, 915, 1138, 1341, 1518, 1663?
-x**3 + 5*x**2 + 239*x - 57
What is the i'th term of -13240, -26505, -39752, -52975, -66168, -79325, -92440, -105507?
i**3 + 3*i**2 - 13281*i + 37
What is the a'th term of -252172, -252173, -252174?
-a - 252171
What is the a'th term of 1448847, 5795393, 13039637, 23181579, 36221219, 52158557, 70993593?
1448849*a**2 - a - 1
What is the b'th term of -3634, -7272, -10914, -14560, -18210, -21864, -25522?
-2*b**2 - 3632*b
What is the b'th term of 35439, 35440, 35441, 35442, 35443?
b + 35438
What is the q'th term of -320234, -640471, -960708, -1280945?
-320237*q + 3
What is the q'th term of -14584, -14563, -14528, -14473, -14392, -14279, -14128, -13933?
q**3 + q**2 + 11*q - 14597
What is the h'th term of -144570, -144571, -144572, -144573, -144574?
-h - 144569
What is the p'th term of 23, 73, 145, 227, 307, 373, 413?
-2*p**3 + 23*p**2 - 5*p + 7
What is the n'th term of 1710, 6852, 15446, 27498, 43014?
n**3 + 1720*n**2 - 25*n + 14
What is the o'th term of 2696, 2628, 2562, 2498?
o**2 - 71*o + 2766
What is the f'th term of 135, 189, 267, 381, 543, 765, 1059, 1437?
2*f**3 + 40*f + 93
What is the h'th term of 3446, 3566, 3884, 4496, 5498, 6986, 9056, 11804?
16*h**3 + 3*h**2 - h + 3428
What is the p'th term of -1676, -1710, -1766, -1844, -1944, -2066?
-11*p**2 - p - 1664
What is the j'th term of 14, 126, 324, 614, 1002, 1494, 2096?
j**3 + 37*j**2 - 6*j - 18
What is the o'th term of 139, 791, 1881, 3409, 5375, 7779, 10621?
219*o**2 - 5*o - 75
What is the b'th term of -2324, -2294, -2262, -2228, -2192, -2154, -2114?
b**2 + 27*b - 2352
What is the j'th term of -20150, -40375, -60604, -80843, -101098, -121375, -141680?
-j**3 + 4*j**2 - 20230*j + 77
What is the d'th term of 47282, 94532, 141782, 189032?
47250*d + 32
What is the j'th term of 336694, 336697, 336700, 336703, 336706?
3*j + 336691
What is the b'th term of 13624, 13446, 13150, 12736?
-59*b**2 - b + 13684
What is the p'th term of 1028, 1950, 2664, 3068, 3060, 2538, 1400?
-17*p**3 - 2*p**2 + 1047*p
What is the l'th term of -69499, -138999, -208499, -277999?
-69500*l + 1
What is the d'th term of 3495, 27920, 94213, 223308, 436139, 753640?
3489*d**3 + 2*d + 4
What is the c'th term of -1707, -3546, -5519, -7626, -9867, -12242, -14751?
-67*c**2 - 1638*c - 2
What is the o'th term of -410, -491, -572, -653, -734?
-81*o - 329
What is the r'th term of 20587, 20586, 20585, 20584, 20583?
-r + 20588
What is the p'th term of -336, -1322, -2962, -5256, -8204, -11806?
-327*p**2 - 5*p - 4
What is the w'th term of -711, -1643, -2577, -3513, -4451?
-w**2 - 929*w + 219
What is the i'th term of -43727, -43735, -43753, -43787, -43843, -43927, -44045?
-i**3 + i**2 - 4*i - 43723
What is the h'th term of 278, 1108, 2486, 4412, 6886?
274*h**2 + 8*h - 4
What is the i'th term of -2167, -4276, -6373, -8452, -10507, -12532, -14521?
i**3 - 2116*i - 52
What is the m'th term of 28865, 57710, 86551, 115388, 144221, 173050?
-2*m**2 + 28851*m + 16
What is the m'th term of 390, 1592, 3602, 6420, 10046, 14480?
404*m**2 - 10*m - 4
What is the s'th term | {
"pile_set_name": "DM Mathematics"
} |
ivative of 518*g**3 - 23*g**2 - 47766*g?
3108*g - 46
Find the second derivative of b**2*v**3 + 5*b**2*v + 14*b**2 - 4*b*v**3 + 1390*v**2 + 20 wrt v.
6*b**2*v - 24*b*v + 2780
Differentiate 2*h**2*u**3 + 413*h**2 - 40*h - 1716*u**3 with respect to u.
6*h**2*u**2 - 5148*u**2
Find the second derivative of 194123*q**2 + 144571*q - 2 wrt q.
388246
Find the second derivative of 70461*a**2 + 186106*a wrt a.
140922
What is the first derivative of 1984*c**4 + 9*c**2 + 1809690?
7936*c**3 + 18*c
What is the third derivative of 13638*b**3*c**3 + b**3 - 43030*b**2*c**2 wrt c?
81828*b**3
What is the second derivative of -10*b**4*j**2 - 78907*b**4 - b*j**2 + 4*b*j - 6*j**2 - 2875*j wrt b?
-120*b**2*j**2 - 946884*b**2
Find the third derivative of 54091*r**3 + 700*r**2 + 2*r + 1 wrt r.
324546
Find the second derivative of 69029*q**2 + 86981*q wrt q.
138058
Find the third derivative of 21*s**4*y**2 - 2*s**4*y - 171*s**3*y - 125*s**2*y - 2*y**2 wrt s.
504*s*y**2 - 48*s*y - 1026*y
Find the first derivative of 2*n**3*q**3 + 551*n**3*q*t - 135*n**3 + 21*n*q**3*t - 2*n*q**3 + 3*q**2 - 62 wrt t.
551*n**3*q + 21*n*q**3
What is the second derivative of 221*f**3*k**2*v**2 - 1838*f**3*k**2*v - 2*f**3*k*v**2 + 2*f**3*k + 2*f**3*v + 156*f*k - 2*f*v**2 - 22*k*v**2 wrt k?
442*f**3*v**2 - 3676*f**3*v
Find the second derivative of -504927*y**4 + 6301*y + 31.
-6059124*y**2
What is the second derivative of -9*i**2*x**2 - 2199*i**2*x + 1634*i*x**2 wrt x?
-18*i**2 + 3268*i
What is the second derivative of -113279*x**2 - x - 946282?
-226558
What is the third derivative of 88058*d**3*x**3 + 2*d**2*x**3 - 713*d**2 + 7*d*x**3 wrt d?
528348*x**3
Differentiate -349768*z**3 - 907649.
-1049304*z**2
What is the third derivative of -2*j**5 + 683*j**4 + 14*j**3 - j**2 - 1325 wrt j?
-120*j**2 + 16392*j + 84
Find the second derivative of 3*f**2*m*u + 13*f**2*m - 38*f**2*u*w**3 + 2*f*m*u*w**3 - 3*f*u*w**3 - f*u - 56*f*w**3 + 2*m*u*w**3 + 3*m*u wrt f.
6*m*u + 26*m - 76*u*w**3
What is the third derivative of 522506*i**3 + 2*i**2 + 91*i - 39?
3135036
What is the second derivative of 43*v**3*y**2 - 9*v**3*y - 475*v**2*y + 2*v*y**2 + 18*y**2 wrt y?
86*v**3 + 4*v + 36
What is the second derivative of 3*l**2*y**3 - 1904*l**2*y**2 + l**2*y - l**2 + 2*l*y**3 + 19230*l*y**2 + 2*y**3 wrt l?
6*y**3 - 3808*y**2 + 2*y - 2
What is the third derivative of -1258943*l**5 - 186658*l**2?
-75536580*l**2
What is the second derivative of -161*z**5 + 2052*z**2 - 23454*z - 17 wrt z?
-3220*z**3 + 4104
Find the second derivative of -30875*f**2 - 51612*f wrt f.
-61750
Find the third derivative of -6131*w**3 + 58249*w**2.
-36786
Find the third derivative of 19*b**2*i**3 - 6*b**2*i**2 + 664*b - 3537*i**4 + 6*i**2 wrt i.
114*b**2 - 84888*i
What is the second derivative of -3*h**3 + 15*h**2*v + 128*h**2 - 3*h*v + 24001*v wrt h?
-18*h + 30*v + 256
Differentiate -20*w**4 - 1339*w - 537928 wrt w.
-80*w**3 - 1339
What is the first derivative of m**2*q*w - 4*m*q*w - 3*m*q + 458*m*w - 273*q*w + 11*q + w - 1 wrt m?
2*m*q*w - 4*q*w - 3*q + 458*w
What is the second derivative of -44*b**3*q**4 + 41*b**3 + 22*b**2 + 2392*b*q**5 + 6*b*q wrt q?
-528*b**3*q**2 + 47840*b*q**3
Find the second derivative of -23534*a**3 - 6*a**2 + 40601*a - 9 wrt a.
-141204*a - 12
What is the second derivative of -462379*y**2 - 42*y - 8809 wrt y?
-924758
Find the second derivative of 27879*a**3 - 48954*a + 2 wrt a.
167274*a
Differentiate -490*h**2 + 476*h - 1841367.
-980*h + 476
Find the second derivative of -2*h**4 - 4*h**3 + 13865*h**2 + 53793*h - 1 wrt h.
-24*h**2 - 24*h + 27730
Find the second derivative of -164291*h**3 + 282205*h.
-985746*h
Find the second derivative of -4*l*m**2 + 166559*l*m - 60740*m**2 wrt m.
-8*l - 121480
Find the third derivative of 5*y**3*z**4 - 29001*y**3*z**3 + 4247*y**3*z + 57*y*z**2 wrt z.
120*y**3*z - 174006*y**3
What is the first derivative of 9*i*x*z + i*x + 6*i*z - i + 8*x*z + 48255*x + 70*z wrt z?
9*i*x + 6*i + 8*x + 70
What is the second derivative of -313*d*y**3 - 28*d*y**2 - 4*d*y + d - 5*y**3 + 6655 wrt y?
-1878*d*y - 56*d - 30*y
Find the second derivative of -213849*u**4 + 404*u - 168 wrt u.
-2566188*u**2
Find the second derivative of -2*l*q**2*x**2 + 2*l*q**2*x + 259*l*q**2 - 12804*l*x**2 - 4*q**2*x wrt x.
-4*l*q**2 - 25608*l
What is the second derivative of -492400*f**2 - 1499811*f?
-984800
Find the third derivative of 3851711*p**4 + 1502265*p**2 wrt p.
92441064*p
Differentiate -1295*g*o**3 + 258*g*o + 2*o**3 - 2435*o**2 - 38 wrt g.
-1295*o**3 + 258*o
Find the second derivative of 180443*t**3 - 442*t + 127.
1082658*t
What is the second derivative of 28012*w**3 - 148168*w?
168072*w
What is the third derivative of -29*d**3*n**5 + d**3*n**2 - 543*n**5 - 9*n**2 - 2492 wrt n?
-1740*d**3*n**2 - 32580*n**2
What is the third derivative of 2793*g**4 - 2*g**3 - 335*g**2 - 7*g - 3?
67032*g - 12
Find the third derivative of 20295*u**5 + 5*u**4 - 2*u**3 + 285185*u**2 wrt u.
1217700*u**2 + 120*u - 12
Find the third derivative of -4*c**2*y**3 - 5*c**2*y + 42343*c*y**3 - 7*c - y**2 + 1 wrt y.
-24*c**2 + 254058*c
What is the third derivative of 525*t**3*u**2*y + t**3*u**2 - 15*t**3*y**2 + t**2*u**2*y**2 - 4*t**2*u**2*y + 14*t**2 + 9*t*y**2 wrt t?
3150*u**2*y + 6*u**2 - 90*y**2
Find the third derivative of -2054044*f**3 - 6*f**2 - 91332*f + 2 wrt f.
-12324264
Find the third derivative of -2283741*h**3*n + 39*h**2*n - 15066*h*n wrt h.
-13702446*n
Find the second derivative of 2*p*w**3 - 32*p*w**2 + 72503*p*w + 22*w**3 - 5*w**2 + w wrt w.
12*p*w - 64*p + 132*w - 10
Find the third derivative of 39*a**5 + 25*a**4 + a**2 - 423*a - 12.
2340*a**2 + 600*a
Find the first derivative of 167228*u**2 + 332469 wrt u.
334456*u
Differentiate -12*k**3*z + 181*k**3 - 11*k + 850*z**4 + 2 wrt z.
-12*k**3 + 3400*z**3
Find the second derivative of 198097*j**4 + 74524*j wrt j.
2377164*j**2
Find the third derivative of -3608*h**3*k**2 - 2*h**3*k - 45*h**2 + 36*h*k**2 + h*k - k**2 wrt h.
-21648*k**2 - 12*k
What is the first derivative of 1624113*i + 1740244 wrt i?
1624113
Find the second derivative of 16685*p**5 - 20*p - 176 wrt p.
333700*p**3
What is the derivative of 2*x*z**3 + 6*x*z**2 - 17645*x*z - 57414*x - 2 wrt z?
6*x*z**2 + 12*x*z - 17645*x
Differentiate 364399*b*f**3 - 11*f**3 + 8112*f wrt b.
364399*f**3
What is the first derivative of -38938*u**4 - 840619 wrt u?
-155752*u**3
Find the second derivative of 57385*w**5 - 2*w**3 - 3*w + 3027.
1147700*w**3 - 12*w
Find the second derivative of -45844*a**3 + 4*a**2 - 75*a - 2265.
-275064*a + 8
Differentiate -226*a*b**3 + 2*a*b*d - 16*a*d - 84*b**3 - 121*b**2*d with respect to a.
-226*b**3 + 2*b*d - 16*d
What is the derivative of 4490*r**2 + 69883?
8980*r
Differentiate 98468*a + 104312.
98468
Differentiate 410072*w - 418731 wrt w.
410072
What is the third derivative of 5128*z**4 + 105*z**3 - 380755*z**2 wrt z?
123072*z + 630
Find the third derivative of 4540*f**3*v**6 - 12*f**3*v**3 - 2139*f**3*v**2 - 2*f**3*v wrt v.
544800*f**3*v**3 - 72*f**3
Differentiate -87*b*i*s**2 - 90*b*s**3 + 4*b - 9*i*s**3 + 3*s**3 - 2 wrt i.
-87*b*s**2 - 9*s**3
Find the second derivative of 315973*f**3 + 156044*f wrt f.
1895838*f
What is the second derivative of 382*i**3*m**2 - 3*i**3 + 8*i**2*m**2 - 2*i*m**2 + 29*i*m - 22 wrt i?
2292*i*m**2 - 18*i + 16*m**2
Find the first derivative of 93*q**2*w**2 - 6475*q**2 + 6*q*w**2 + q - 31*w + 1 wrt w.
186*q**2*w + 12*q*w - 31
What is the second derivative of -3056*g**3 - 28*g**2 - 337098*g wrt g?
-18336*g - 56
What is the first derivative of -46*l**3*z - 179*l**2*z - z - 42 wrt l?
-138*l**2*z - 358*l*z
Differentiate 2132670*k + 3216030 wrt k.
2132670
What is the third derivative of -7*b**3*j**3 + 5*b**3*j**2 + 178*b**3 - 6*b**2*j**3 - 80*b**2*j**2 + b*j**3 - 3*b*j**2 wrt b?
-42*j**3 + 30*j**2 + 1068
What is the first derivative of -908264*w - 337531 wrt w?
-908264
Find the first derivative of 65854*t**2 - 118950.
131708*t
Find the first derivative of 42868*v**3 - v**2 + v - 80172 wrt v.
128604*v**2 - 2*v + 1
What is the second derivative of -277230*h**2 + 83032*h wrt h?
-554460
What is the third derivative of 149713*n*w**4 + 56*n*w + 13*w**6 - 21208*w**2 wrt w?
3593112*n*w + 1560*w**3
What is the third derivative of 2092794*x**3 - 16043*x**2 + x + 5?
12556764
What is the third derivati | {
"pile_set_name": "DM Mathematics"
} |
o) = -2*o**2 - 22*o - 14. Give k(-10).
6
Let w(t) = -24*t + 3. What is w(2)?
-45
Let x(f) = -f**3 - 4*f**2 - 2*f + 2. Give x(-3).
-1
Let r(o) = o**2 - 17*o - 65. Calculate r(21).
19
Let v(x) = 2*x**3 + 2*x**2 - 14*x + 21. What is v(2)?
17
Let k(n) = -6*n**2 + 4. Calculate k(3).
-50
Let t(l) = 26*l - 3. What is t(2)?
49
Let x(v) = v**3 + 4*v**2 + 3*v + 2. Give x(-3).
2
Let q(l) = -l**2 - 17*l - 11. Determine q(-17).
-11
Let o(w) = -w**3 + 8*w**2 - 3*w - 7. Calculate o(8).
-31
Let h(r) = 2*r + 12. What is h(-4)?
4
Let f(x) = 8*x**3 - 2*x + 1. What is f(1)?
7
Let p(l) = -2*l**2 - 27*l + 56. What is p(-15)?
11
Let i(r) = 4*r - 27. Determine i(6).
-3
Let u(r) = 3*r**3 - 3*r**2 + 2*r + 2. What is u(2)?
18
Let q(i) = -4*i + 49. Calculate q(12).
1
Let g(q) = -4*q**2 + 10*q - 8. Determine g(3).
-14
Let t(u) = u**2 + 1. Give t(-2).
5
Let h(i) = -92*i - 281. Give h(-3).
-5
Let w(h) = -4*h + 1. Give w(-1).
5
Let f(i) = 13*i**2 + 2*i + 2. Give f(-1).
13
Let k(n) = n - 7. Calculate k(-4).
-11
Let d(r) = r**3 + r**2 + r + 6. Give d(0).
6
Let n(p) = -p**2 - 7*p + 5. Give n(-7).
5
Let r(u) = -u**3 - 26*u**2 + 25*u - 67. What is r(-27)?
-13
Let g(f) = 3*f + 4. Determine g(-6).
-14
Let m(a) = -7*a**2 + a - 2. Determine m(2).
-28
Let y(g) = -19*g + 167. Determine y(9).
-4
Let y(s) = 84*s - 1. What is y(1)?
83
Let t(j) = j**3 - 8*j**2 + 7*j - 3. What is t(7)?
-3
Let n(b) = 3*b**2 - b - 6. Determine n(-3).
24
Let y(u) = u**2 + 14*u - 127. Give y(-20).
-7
Let p(h) = h**3 + 9*h**2 - 38*h - 28. Give p(-12).
-4
Let i(m) = -2*m**2 - 18*m + 13. Give i(-9).
13
Let g(i) = 4*i - 27. What is g(-6)?
-51
Let j(v) = -v**2 + 2*v + 21. Calculate j(0).
21
Let n(a) = -a - 6. What is n(9)?
-15
Let y(f) = -f**2 - 26*f - 4. What is y(-26)?
-4
Let s(k) = -6*k**2 + 21*k - 3. What is s(3)?
6
Let q(a) = a**2 - 2. Give q(5).
23
Let h(d) = -3*d + 1. What is h(-2)?
7
Let b(l) = l**2 + 4*l - 83. Calculate b(7).
-6
Let o(c) = -3*c - 33. Calculate o(-7).
-12
Let b(j) = j**2 - 4*j + 24. Calculate b(-10).
164
Let w(t) = -2*t + 7. What is w(10)?
-13
Let j(d) = -2*d**3 - 22*d**2 + 4*d + 48. Give j(-11).
4
Let f(y) = 31*y**2 - 2*y - 1. What is f(-1)?
32
Let s(l) = l + 6. Give s(-1).
5
Let v(n) = n**2 + 6*n + 1. Determine v(-7).
8
Let x(p) = -5*p + 9. Calculate x(-1).
14
Let t(k) = -k**3 - 32*k**2 + 36*k + 90. Determine t(-33).
-9
Let q(m) = m**3 + 8*m**2 - 21*m - 14. Give q(-10).
-4
Let a(f) = 3*f - 22. Calculate a(10).
8
Let b(t) = 10*t + 136. Calculate b(-11).
26
Let v(a) = 4*a + 9. Calculate v(-8).
-23
Let s(c) = 12*c - 11. Determine s(-2).
-35
Let j(s) = 21*s + 8. Determine j(-1).
-13
Let i(v) = -2*v + 11. What is i(6)?
-1
Let h(p) = p**2 - 5*p + 6. Give h(6).
12
Let i(o) = o**3 - 16*o**2 + 3. What is i(16)?
3
Let w(s) = 4*s**2 - 56*s + 17. Give w(14).
17
Let y(x) = -52*x**3 + 2*x**2 - 1. Calculate y(-1).
53
Let u(g) = g**3 - 3*g**2 - g. Give u(5).
45
Let r(p) = 16*p + 117. Give r(-8).
-11
Let v(p) = -4*p + 8. What is v(-8)?
40
Let v(f) = -f**2 - f - 2. Calculate v(-3).
-8
Let a(r) = r**2 + 3*r - 5. Determine a(3).
13
Let u(b) = -3*b**2 + 14*b. What is u(5)?
-5
Let n(v) = 15*v**2 + 11*v - 12. Determine n(1).
14
Let y(p) = 4*p + 33. Give y(-8).
1
Let x(f) = 3*f**3 + f**2 - 3*f + 2. Determine x(2).
24
Let f(j) = -j**2 - 16*j - 47. Calculate f(-11).
8
Let t(s) = 10*s - 178. Determine t(13).
-48
Let j(n) = -n**2 - 12*n + 20. Calculate j(-12).
20
Let h(o) = 3*o**2 - 21*o - 234. Calculate h(-6).
0
Let u(d) = -11*d + 35. Give u(4).
-9
Let w(h) = -4*h + 24. What is w(4)?
8
Let s(m) = m**3 + 4*m**2 - 18*m - 17. What is s(-7)?
-38
Let l(g) = 5*g - 15. Calculate l(6).
15
Let p(v) = 8*v + 11. Determine p(-2).
-5
Let w(x) = 138*x - 1243. Determine w(9).
-1
Let x(f) = -f**3 + 3*f**2 - 4*f - 4. Give x(5).
-74
Let z(i) = -i**3 + 9*i**2 - i + 12. Give z(9).
3
Let n(a) = a**3 - 18*a**2 + 32*a + 8. Calculate n(16).
8
Let w(h) = -h + 14. Determine w(19).
-5
Let s(h) = -2*h**3 - 8*h**2 + 17*h + 30. What is s(-5)?
-5
Let c(m) = 4*m**2 + 9*m. Give c(-2).
-2
Let b(w) = -2*w**3 + 22*w**2 - 17*w - 22. Determine b(10).
8
Let d(o) = -o**2 + 17*o + 83. Calculate d(20).
23
Let w(q) = 7*q + 15. Give w(-3).
-6
Let j(w) = -3*w + 3. Give j(10).
-27
Let m(o) = -3*o - 6. Calculate m(-5).
9
Let j(o) = -o**3 + 8*o**2 + 20*o - 10. What is j(10)?
-10
Let c(z) = 2*z + 24. Give c(-12).
0
Let y(v) = v**3 + 6*v**2 + 4*v + 10. Determine y(-5).
15
Let z(j) = 8*j - 14. What is z(9)?
58
Let p(b) = b**3 - 3*b**2 - b + 3. Calculate p(3).
0
Let q(u) = -u**3 - 23*u**2 + 51*u + 22. What is q(-25)?
-3
Let b(j) = -15*j**3 + j + 1. Determine b(-1).
15
Let x(a) = -2*a**2 + 14*a - 12. What is x(6)?
0
Let v(m) = -27*m - 791. Determine v(-29).
-8
Let b(j) = j**3 - 11*j**2 - 5*j + 53. Determine b(11).
-2
Let z(r) = r**2 - 25*r - 41. What is z(26)?
-15
Let u(r) = -4*r**3 - r**2 + 8*r - 8. What is u(1)?
-5
Let s(n) = n**3 + 5*n**2 + 7*n + 60. Give s(-6).
-18
Let n(o) = o**3 - 15*o**2 + 11*o + 48. Calculate n(14).
6
Let z(v) = v**2 - 25*v + 8. What is z(26)?
34
Let l(c) = 25*c - 131. What is l(5)?
-6
Let m(j) = 2*j - 22. Give m(16).
10
Let z(d) = d**3 - 4*d**2 + 3*d + 12. Determine z(6).
102
Let s(h) = h**2 + 30*h + 30. Give s(-25).
-95
Let x(u) = u**3 + 7*u**2 + 10*u + 19. Determine x(-6).
-5
Let c(b) = -b - 5. Determine c(7).
-12
Let s(z) = -z**2 + 3*z + 13. What is s(5)?
3
Let m(k) = -6*k + 7. Give m(3).
-11
Let i(o) = -2*o + 25. Determine i(16).
-7
Let l(p) = p**3 - 5*p**2 - 8*p + 6. Give l(6).
-6
Let n(q) = 5*q - 5. Calculate n(4).
15
Let k(l) = -2*l + 17. What is k(8)?
1
Let f(j) = 6*j + 30. What is f(-6)?
-6
Let j(t) = t**3 - 8*t**2 - 4*t. Determine j(9).
45
Let s(b) = b**2 - 8*b + 18. Calculate s(9).
27
Let l(o) = 12*o + 2. Give l(1).
14
Let q(k) = k**2 - 4*k - 1. What is q(8)?
31
Let a(k) = -k - 28. Calculate a(-15).
-13
Let v(m) = -m**3 + 3*m**2 + 2*m - 8. Determine v(4).
-16
Let r(w) = -w**2 - 5*w. What is r(0)?
0
Let w(z) = 6*z - 5. Give w(5).
25
Let w(m) = 9*m + 9. Give w(-5).
-36
Let s(d) = d**2 - d - 5. Give s(3).
1
Let q(m) = m**2 + 7*m - 6. Calculate q(-7).
-6
Let h(f) = 8*f - 1. What is h(0)?
-1
Let z(w) = w**2 + 3*w - 25. Give z(-9).
29
Let x(t) = 4*t - 14. Give x(4).
2
Let b(h) = -h**3 + 6*h**2 - 2*h + 3. Give b(7).
-60
Let u(y) = y**2 + 15*y + 7. Determine u(-16).
23
Let d(t) = -t + 12. Calculate d(3).
9
Let w(m) = 7*m - 5. What is w(5)?
30
Let c(d) = 28*d**3 + d**2 - d - 1. What is c(-1)?
-27
Let t(o) = -59*o - 2. Give t(-2).
116
Let d(j) = 6*j**2 - 100*j - 8. What is d(17)?
26
Let n(h) = h**2 + 3*h + 43. What is n(-7)?
71
Let b(h) = -h**3 + 16*h**2 - 66*h + 15. Calculate b(7).
-6
Let l(x) = 5*x**2 + 3*x + 3. What is l(-3)?
39
Let c(i) = i**2 + 7*i. Calculate c(-7).
0
Let h(v) = -3*v**2 + 7*v + 9. What is h(4)?
-11
Let t(p) = -p**2 + 3*p - 6. What is t(2)?
-4
Let y(h) = h**2 - 17*h - 19. What is y(16)?
-35
Let k(z) = z**3 + 11*z**2 - 13*z - 7. What is k(-12)?
5
Let z(g) = g**3 + 2*g**2 + g - 4. Give z(0).
-4
Let k(m) = m**2 - 17*m + 3. What is k(17)?
3
Let u(f) = 20*f**2 - 60*f + 6. Give u(3).
6
Let s(k) = k**3 + 2*k**2 + k + 1. What is s(2)?
19
Let h(m) = 6*m**2 + 4*m + 3. What is h(-2)?
19
Let x(y) = 21*y + 20. Determine x(-1).
-1
Let i(q) = -q**2 - 4*q + 50. Determine i(-9).
5
Let k(x) = -2*x**3 - 18*x**2 - 14*x + 12. Calculate k(-8).
-4
Let l(v) = 14*v + 299. Calculate l(-21).
5
Let f(y) = -21*y - 9. What is f(4)?
-93
Let m(s) = -32*s. Calculate m(1).
-32
Let g(u) = -u - 7. What is g(4)?
-11
Let v(g) = -7*g + 81. What is v(11)?
4
Let k(q) = q**2 + 22*q + 11. Calculate k(-21).
-10
Let m(i) = -35*i - 1. What is m(1)?
-36
Let w(l) = l**2 + 16*l - 102. Calculate w(5).
3
Let c(t) = -t**3 + 13*t**2 - 8*t - 46. Calculate c(12).
2
Let t(n) = 2*n + 4. Give t(9).
22
Let x(k) = k**2 + 5*k + 10. Give x(-5).
10
Let o(y) = -4*y**3 - y**2 - 2*y - 1. What is o(-1)?
4
Let p(g) = -g**2 - 8*g - 9. Calculate p(-5).
6
Let f(o) = 3*o**2 + 23*o - 8. Determine f(-8).
0
Let u(r) = -r - 15. Determine u(-18).
3
Let o(r) = -r**2 + 11*r + 191. Give o(20).
11
Let r(s) = s**3 - 24*s**2 - 23*s - 44. Determine r(25).
6
Let m(d) = d**3 + d**2 - 3*d - 2. What is m(-2)?
0
Let f(g) = g**2 + 2*g - 33. What is f(0)?
-33
Let b(f) = f**3 - 11*f**2 + 7*f - 23. Determine b(10).
-53
Let u(x) = x**2 - 22*x + 111. Give u(8).
-1
Let f(z) = -4*z**2 + 10*z - 9. Give f(3).
-15 | {
"pile_set_name": "DM Mathematics"
} |
order.
b, -1, 1
Let o = 14.91 + -15. Sort 4, o, -1/3, -2.
-2, -1/3, o, 4
Let g = -0.107 - -2.107. Let w = 4.95 - -0.05. Put w, -1, g in ascending order.
-1, g, w
Let m = 469/6 - 78. Let n = -1.1 - -8.9. Let c = n + -8. Sort c, m, -5 in ascending order.
-5, c, m
Let o(x) = x**3 + 5*x**2 - x - 1. Let u(q) = q**2 + q - 5. Let c be u(0). Let g be o(c). Let n = -21 + 17. Sort -5, n, g in increasing order.
-5, n, g
Let w(s) = -s - 9. Let h = -27 - -17. Let g be w(h). Put 5, g, 0.3 in descending order.
5, g, 0.3
Let y(o) = o - 1. Let n be y(4). Suppose 3*v = 7*v - 3*h - 9, n*v + 4*h - 13 = 0. Sort -2, 0, v.
-2, 0, v
Let a(c) = 3*c - 3. Let o be a(5). Let i be (1 - 1)/(o + -9). Put 3, 2, i in ascending order.
i, 2, 3
Let t be 2/(-13) + (-335)/(-65). Suppose -k - 4*o = 11 - 0, t*k = -o + 2. Put -5, k, 2 in descending order.
2, k, -5
Let q(x) = -x**3 - 4*x**2 + 4*x - 1. Let g be q(-5). Let w(m) = 4*m + 1. Let u be w(-2). Let d be 20/70 + 3/u. Put g, d, 0.4 in decreasing order.
g, 0.4, d
Let s = 0 - -3. Suppose 2*p + 20 - 1 = -s*z, -p - 8 = z. Let u = -70 + 72. Put z, u, 2/23 in ascending order.
z, 2/23, u
Let y = 4.059 - 0.059. Put y, 0.05, 1, 5 in decreasing order.
5, y, 1, 0.05
Let y be (-4 - -2) + 4*1. Suppose b + 2 = 3*n, n + 2*b - b = y. Let q be 5*-1 - (-11)/11. Sort q, n, 5 in ascending order.
q, n, 5
Let r be 2*1/9 - (-6)/(-27). Sort 2, -5, r in ascending order.
-5, r, 2
Let w(d) = -d**2 + 1. Let y be w(-2). Let r = -1 + 1.4. Let c = -0.8 - -1.1. Put r, y, c in decreasing order.
r, c, y
Let q = 0 - 1. Let j be (-17 + -1)*2/3. Let t be 28/(-10) - j/4. Put q, t, 1 in descending order.
1, t, q
Let y = 62 + -61. Sort 0, -1/6, y, -2.
-2, -1/6, 0, y
Let l = 21 + -18. Suppose -l*w - 1 = -4*w. Let v = -16 - -11. Put v, -1, w in decreasing order.
w, -1, v
Let q = -5 + 9. Let d = 1.66 - 1.3. Let f = 0.16 - d. Put f, q, -0.1 in ascending order.
f, -0.1, q
Suppose -15 = 5*f - 2*f, 5*f = -4*v - 41. Let m be ((-4)/6)/(2/(-6)). Suppose -q - 3 + m = 0. Put v, 1, q in increasing order.
v, q, 1
Let c = -0.32 + -0.08. Sort -0.2, -12/11, c in descending order.
-0.2, c, -12/11
Let a = 21.94 + 0.06. Let t = -18 + a. Sort t, 3/5, -2/9 in decreasing order.
t, 3/5, -2/9
Let x = -1.7 - -1.9. Sort x, -0.5, 1 in decreasing order.
1, x, -0.5
Let q be (-2)/(-20)*10/2. Sort 0.2, 0.4, q, -1/3 in descending order.
q, 0.4, 0.2, -1/3
Let l = 0.029 + -0.029. Sort 3, -5, l in decreasing order.
3, l, -5
Let u be 2/(-10) - 8/10. Let f be (-6)/153*-3*1. Put f, -0.7, u in decreasing order.
f, -0.7, u
Let x(i) = i**2 - 8*i + 3. Let g be x(8). Sort 2, 1, g, -1 in descending order.
g, 2, 1, -1
Let t(b) = -b**3 - 12*b**2 + 16*b + 34. Let w be t(-13). Let i be (-4)/(-1)*(2 - 1). Let f(d) = d - 3. Let h be f(i). Put 0, w, h in descending order.
h, 0, w
Let q = -13 - -13.1. Put q, 2/11, -0.3 in descending order.
2/11, q, -0.3
Let d = 2.6 - 0.7. Let c = d + 0.1. Put -4, c, 0.1 in increasing order.
-4, 0.1, c
Suppose -10 = 5*d + 3*q + 2*q, -5*d = 4*q + 12. Sort 1, 0, d in decreasing order.
1, 0, d
Suppose 2*w + 3*n - 5 + 0 = 0, n = -w + 1. Sort 3, -4, 4, w in descending order.
4, 3, w, -4
Let r(q) = -2*q + 1. Let x be r(-3). Let u = -4 + x. Sort -2, u, 5 in descending order.
5, u, -2
Let g(s) = 3*s**3 + 4*s**2 + 2*s. Let z be g(-2). Let a(p) = -p**2 - 4*p - 6. Let n be a(-6). Let c be -3*2*z/n. Sort c, 5, -2.
c, -2, 5
Let n = 6 + 3. Let q = n - 10. Sort 1, q, -2 in descending order.
1, q, -2
Let i = 3.5 - 5. Let p = i + 1. Let z(c) = 4*c**3 - c**2 + c - 1. Let o be z(1). Put 3/4, o, p in increasing order.
p, 3/4, o
Let r = 43.1 - 43. Sort 2, 1, r, -0.2 in increasing order.
-0.2, r, 1, 2
Let f = -4 + 6. Let s be 2*(-14)/4 + f. Put s, -4, -1 in increasing order.
s, -4, -1
Let x = 23 - 40. Let u = 22 + x. Sort 0.2, u, 0.1 in decreasing order.
u, 0.2, 0.1
Let c = 9 + -6. Let d = -5 + c. Let l = 1.9 + d. Put 4, -0.2, l in descending order.
4, l, -0.2
Suppose 0 = 26*q - 17*q - 27. Put 0, -2, -1, q in ascending order.
-2, -1, 0, q
Let x(l) = 4*l + 19. Let k be x(-6). Put k, 0, -2 in ascending order.
k, -2, 0
Suppose -4*y = 5*j + 15, -4*j + 12 - 45 = -y. Sort j, 4, -4 in ascending order.
j, -4, 4
Let i = -4.06 - -0.06. Let s = 2 + -6. Let j = 4 + s. Put i, j, 5 in ascending order.
i, j, 5
Suppose 0*r = -5*r - 5. Let x(a) = 11*a**2 - 1. Let f be x(-1). Suppose 4*s - 4 - 2 = 3*v, 0 = 4*s - 5*v - f. Sort 5, s, r in decreasing order.
5, s, r
Let o = 0.65 - -3.35. Sort 2, 0.5, -5/4, o in descending order.
o, 2, 0.5, -5/4
Let l(w) = w**2 + 6*w + 3. Let h be l(-4). Put -2, -3, h in descending order.
-2, -3, h
Let w(z) = -z**3 - 8*z**2 - 6*z + 9. Suppose 0*v + 10 = 3*u + v, 2*u - 7 = -v. Suppose -7 = u*f - 2*f. Let b be w(f). Sort b, 3, 0 in ascending order.
0, b, 3
Let q = 5 + -3. Suppose 4 = 4*t + 5*c + 3, -q*t + 2*c = 4. Let u be -1*((-5 - -7) + (1 - 1)). Put t, u, 4 in descending order.
4, t, u
Let v(s) = -2*s - 1. Let c be v(-2). Suppose 2*j + 25 = -c*j. Sort 3, 0, j in ascending order.
j, 0, 3
Let f = 4 + -3.6. Let m = f + 3.6. Let c = m - 4. Put 2, -4, c in increasing order.
-4, c, 2
Suppose 6 = -2*z - 2. Let x = -76 + 35. Let a = -85/2 - x. Sort a, z, 2/5.
z, a, 2/5
Let j be (-4)/10*(-100)/40. Sort -0.2, j, -3/22 in descending order.
j, -3/22, -0.2
Let m = -0.047 + 2.047. Put m, -0.08, 2/9, 1/5 in descending order.
m, 2/9, 1/5, -0.08
Let k = -54615 - -54861.11. Let r = -242 + k. Let w = r - 0.11. Sort 0.4, -3, w in decreasing order.
w, 0.4, -3
Suppose 5*i - 5 = -0. Let h be (i + -3 + 6)/2. Suppose -4 = -n + 4*q, -n + 2 = 3*q - h. Sort 3, n, -4.
-4, 3, n
Let b = 1.2 + -0.2. Let p = b + -2. Let t = -42.4 + 42.8. Put t, p, -0.2 in increasing order.
p, -0.2, t
Let w = 5 - 4. Let n = 165 - 500/3. Sort 3, n, w in increasing order.
n, w, 3
Let c = -1 - 0. Let t = 0.3 - -0.7. Let x = c + t. Sort -3, x, -5 in increasing order.
-5, -3, x
Suppose -v = 3 - 7. Suppose 0 = 3*d - v*d. Let i be 0 - 0 - (-2 + -1). Put -3, d, i in increasing order.
-3, d, i
Suppose -4*w = -3 + 23. Let n = 12 - 8. Let x be 4/10 - (-44)/(-10). Sort n, w, x.
w, x, n
Let t(h) = -4*h**3 + 8*h + 2*h**2 - 10*h + 0*h - 1 + 5*h**3. Let l be t(-2). Sort l, 4, -4 in ascending order.
-4, l, 4
Let l be ((-3)/(-9))/((-2)/(-30)). Let q = -5 + l. Let g = 3 + -4. Sort 1, q, g in decreasing order.
1, q, g
Suppose 2*r + 6*j - 10*j - 14 = 0, 3*r = 5*j + 17. Let w = 0 + -0.2. Put 0.5, w, r in descending order.
0.5, w, r
Let o = 18 + -20. Let w be o/(-1) + 11/(-7). Put 2, 3/4, w in descending order.
2, 3/4, w
Suppose u - 245 = 6*u. Let j be 2/7*u/63. Put j, 2/5, -2 in decreasing order.
2/5, j, -2
Suppose 1 = -2*r + 5. Suppose 0 = q + 2*w + 4, -4*w = -2*q + 7 + 25. Sort r, -1, q.
-1, r, q
Suppose -4*f = 2*p + 2, -5*f - 4*p + 10 = p. Let b be (-1)/2 + (-3)/2. Let n be ((0/(-3))/(-4))/b. Put f, 4, n in increasing order.
f, n, 4
Let v = -11 - -6. Let a = -9 - v. Let k = a + 4. Sort k, -2/3, -5 in decreasing order.
k, -2/3, -5
Let q = -65 + 324/5. Put q, -6, -4 in ascending order.
-6, -4, q
Let h(p) = p + 14. Let m be h(-6). Suppose -l + 5*l - m = 0. Let b = 1.4 - 0.4. Sort l, b, -2/7 in decreasing order.
l, b, -2/7
Suppose o + o = 5*f - 15, 0 = -3*f + 3. Sort -2, 4, o in decreasing order.
4, -2, o
Let d be 2 + (6/(-3) - -1). Let j be 0/((-2)/(-6)*3). Put d, 2, j in decreasing order.
2, d, j
Let f(w) = -w**2 + 3*w - 2. Let y be f(2). Let l = 7 + -3. Suppose 13 = -h - l*s, 0*h - 4*s = 3*h + 15. Put y, h, 4 in increasing order.
h, y, 4
Suppose 4*d + 2*d = 0. Suppose 3*c - 2*m + 6*m + 14 = 0, -2*m = -2*c. Put c, d, -4 in ascending order.
-4, c, d
Let d = -1.4 - -0.4. Let l = d - -0.6. Let j = l + 1.4. Put 2/15, 0.1, j in descending order.
j, 2/15, 0.1
Let z(v) = -v**2 + 5*v - 4. Let s be z(3). Suppose -2 = 4*c + s. Sort c, -5, 1.
-5, c, 1
Let l(q) = q**3 - 13*q**2 - 12*q - 25. Let n be l(14). Put n, -5, -3 in ascending order.
-5, -3, n
Let u = -34 - -30. Sort -0.04, -0.5, -2/3, u in descending order.
-0.04, -0.5, -2/3, u
Suppose 0*f = 3*f - 39. Suppose -2 - f = -3*i. Suppose 5*x - 1 = -6. Put x, i, 0 in decreasing order.
i, 0, x
Let f be 7/14 - (-6)/4. Sort 5, 1, -5, f in decreasing order.
5, f, 1, -5
Suppose 2*s = d + 3*s, 0 = 3*d + 2*s. Let r be ((-9)/(-21))/((-8)/(-56)). Put r, d, 2 in ascending order.
d, 2, r
Let z = 8 + -4. Let y = -43 + 41. Sort z, -3, y. | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from nnngrnnjnnnnnjnggnn. Give prob of picking 3 g.
1/969
Calculate prob of picking 2 q when two letters picked without replacement from vpqavq.
1/15
Two letters picked without replacement from ayaayy. What is prob of picking 1 a and 1 y?
3/5
What is prob of picking 1 j and 2 o when three letters picked without replacement from {o: 4, j: 9, a: 1}?
27/182
Two letters picked without replacement from {w: 4, m: 1, j: 3}. Give prob of picking 1 j and 1 m.
3/28
Four letters picked without replacement from weteycwkkewewwy. Give prob of picking 1 y, 2 e, and 1 t.
4/455
Calculate prob of picking 4 f when four letters picked without replacement from {f: 3, v: 2}.
0
Three letters picked without replacement from {d: 2, e: 1, a: 4, l: 2}. Give prob of picking 1 d, 1 l, and 1 e.
1/21
Four letters picked without replacement from wawboopappaypyyw. What is prob of picking 1 w, 1 p, 1 o, and 1 a?
18/455
Two letters picked without replacement from bubbubuuubuuubbwbbu. What is prob of picking 1 w and 1 b?
1/19
Calculate prob of picking 3 e when three letters picked without replacement from nnnnleeeexeel.
10/143
Calculate prob of picking 1 i and 3 y when four letters picked without replacement from {i: 8, y: 3}.
4/165
What is prob of picking 3 a and 1 f when four letters picked without replacement from ffffaafffffaaa?
90/1001
Three letters picked without replacement from yqqq. Give prob of picking 2 q and 1 y.
3/4
Three letters picked without replacement from gggmmelgggngnlgglm. What is prob of picking 1 g and 2 n?
3/272
Calculate prob of picking 1 a, 1 c, and 1 w when three letters picked without replacement from {c: 8, a: 2, w: 5}.
16/91
Four letters picked without replacement from rtbbratttbtrt. Give prob of picking 1 a, 2 t, and 1 b.
9/143
Calculate prob of picking 1 n and 3 a when four letters picked without replacement from {a: 17, n: 3}.
8/19
Three letters picked without replacement from wwwnwndwnwnwdw. Give prob of picking 3 w.
2/13
What is prob of picking 1 r, 1 z, and 1 e when three letters picked without replacement from {e: 3, r: 1, z: 1, k: 1, t: 1}?
3/35
Calculate prob of picking 2 s and 2 a when four letters picked without replacement from {s: 5, a: 2, w: 5}.
2/99
What is prob of picking 2 y and 1 d when three letters picked without replacement from qhywqdyqwxqqd?
1/143
Three letters picked without replacement from {t: 2, a: 1, v: 1}. What is prob of picking 1 a and 2 t?
1/4
Two letters picked without replacement from {v: 2, k: 2, i: 2, u: 1, e: 7, f: 1}. What is prob of picking 1 k and 1 i?
4/105
What is prob of picking 2 v when two letters picked without replacement from lgvgggkkqqglv?
1/78
Calculate prob of picking 1 d and 1 f when two letters picked without replacement from fffnffnffffdxxffnxx.
11/171
Three letters picked without replacement from xuuuxuuuuuuuux. Give prob of picking 3 u.
165/364
Calculate prob of picking 1 y and 2 z when three letters picked without replacement from {z: 3, y: 5}.
15/56
Four letters picked without replacement from {u: 1, j: 3, g: 2, b: 1, s: 3}. Give prob of picking 3 j and 1 u.
1/210
Calculate prob of picking 1 x and 1 u when two letters picked without replacement from uuuuztttpzuxuttuupz.
8/171
Four letters picked without replacement from {i: 4, e: 2, v: 2}. Give prob of picking 2 v and 2 i.
3/35
Three letters picked without replacement from {z: 5, g: 14}. What is prob of picking 3 g?
364/969
What is prob of picking 1 b, 1 s, and 1 q when three letters picked without replacement from {s: 1, q: 5, r: 6, b: 2, z: 2}?
1/56
What is prob of picking 1 p and 1 v when two letters picked without replacement from mmvpvlmvppv?
12/55
Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {g: 4, c: 7, o: 6}.
3/17
Two letters picked without replacement from rbbrsxbbxxbbsasss. What is prob of picking 2 s?
5/68
What is prob of picking 1 l and 2 f when three letters picked without replacement from fffll?
3/5
Two letters picked without replacement from {p: 2, r: 2, c: 1, d: 1, k: 3, a: 3}. What is prob of picking 1 a and 1 d?
1/22
Two letters picked without replacement from {y: 2, e: 1, k: 1, q: 2}. Give prob of picking 1 k and 1 e.
1/15
What is prob of picking 1 s and 1 b when two letters picked without replacement from sbsfsfffbbbfsfssfff?
8/57
Calculate prob of picking 1 r and 1 p when two letters picked without replacement from rfpgf.
1/10
Four letters picked without replacement from {w: 1, f: 1, d: 3, k: 2, n: 1, l: 4}. What is prob of picking 1 n, 2 k, and 1 l?
4/495
Three letters picked without replacement from {o: 5, z: 15}. What is prob of picking 3 o?
1/114
What is prob of picking 2 e when two letters picked without replacement from {r: 5, e: 7}?
7/22
Three letters picked without replacement from pdadprosdaas. What is prob of picking 3 a?
1/220
What is prob of picking 2 u and 1 a when three letters picked without replacement from dadqudddduzqqadudqd?
2/323
Calculate prob of picking 3 x when three letters picked without replacement from xxxx.
1
Calculate prob of picking 2 s and 1 g when three letters picked without replacement from ghsihs.
1/20
Calculate prob of picking 3 t and 1 w when four letters picked without replacement from {w: 11, t: 3}.
1/91
Four letters picked without replacement from {v: 9, s: 2, c: 6}. Give prob of picking 1 v, 2 s, and 1 c.
27/1190
What is prob of picking 1 a and 1 q when two letters picked without replacement from {g: 1, a: 14, q: 2}?
7/34
Calculate prob of picking 1 z and 1 m when two letters picked without replacement from znqnmhq.
1/21
Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {l: 1, k: 11, q: 1}.
11/78
Calculate prob of picking 1 r, 1 l, and 1 b when three letters picked without replacement from {b: 1, e: 1, m: 1, r: 2, l: 2}.
4/35
Calculate prob of picking 3 i when three letters picked without replacement from tiiiiiiiiiittiiiii.
455/816
What is prob of picking 1 l and 1 t when two letters picked without replacement from {x: 6, t: 11, l: 2}?
22/171
Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {p: 3, i: 6, j: 4, w: 3, z: 4}.
8/95
Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {p: 1, z: 3, g: 9, r: 2, t: 2}.
3/68
Three letters picked without replacement from {c: 2, a: 2, y: 9}. What is prob of picking 2 c and 1 y?
9/286
What is prob of picking 2 p and 1 t when three letters picked without replacement from {t: 5, p: 8}?
70/143
Four letters picked without replacement from qqttmtmytqtmmqmmq. Give prob of picking 1 m and 3 q.
3/119
Four letters picked without replacement from xmmxmmmmxmmmnxmxx. What is prob of picking 3 x and 1 m?
10/119
What is prob of picking 2 p, 1 m, and 1 a when four letters picked without replacement from {v: 2, p: 3, m: 2, l: 3, a: 3}?
18/715
Two letters picked without replacement from nngnnnnnnnnggnn. What is prob of picking 2 g?
1/35
Two letters picked without replacement from {z: 2, x: 5, r: 2}. What is prob of picking 1 x and 1 z?
5/18
What is prob of picking 3 o and 1 w when four letters picked without replacement from wwowwwoowwoo?
14/99
What is prob of picking 2 n and 1 o when three letters picked without replacement from wzwonjne?
1/56
Four letters picked without replacement from {v: 8, a: 2, z: 2}. What is prob of picking 1 a and 3 v?
112/495
Two letters picked without replacement from {y: 3, k: 2, i: 2, e: 4}. What is prob of picking 1 e and 1 i?
8/55
Two letters picked without replacement from zznn. Give prob of picking 1 z and 1 n.
2/3
What is prob of picking 2 h and 1 a when three letters picked without replacement from hiaaihah?
9/56
What is prob of picking 1 v and 1 u when two letters picked without replacement from vvvuveueuvuvv?
14/39
Four letters picked without replacement from {k: 8, w: 8, o: 1}. Give prob of picking 1 o and 3 w.
2/85
Four letters picked without replacement from ddcddddcdcdddd. What is prob of picking 3 c and 1 d?
1/91
Calculate prob of picking 4 q when four letters picked without replacement from zqqqkpzpqooooooz.
1/1820
Calculate prob of picking 3 v and 1 w when four letters picked without replacement from kwwsdvswvedsvkk.
1/455
Calculate prob of | {
"pile_set_name": "DM Mathematics"
} |
+ w*u for d.
-1
Let x be 0/(5/((-20)/(-8))). Suppose -p + 2*p - 1 = x. Solve k = i - p, -k - 3*i + 7 = -2*i for k.
3
Let l be 14*(-1 - (-3)/2). Let k = l + -1. Let m = -3 + k. Solve a - 32 = -4*a + 4*x, 0 = a + m*x + 5 for a.
4
Let i(b) = -b**2 + 2*b + 18. Let w be i(5). Solve 3 = l + w*o, 6 + 7 = -l + 5*o for l.
-3
Let k be 0*-1*(-1 + 0). Suppose -5*d - 20 = k, 2*d = -4*q - 0*q + 112. Solve 3*z - z = -5*h + q, 4*h = -z + 21 for h.
4
Suppose -i + 5*r + 2 = 17, 2*i - 26 = -4*r. Let u = -3 + i. Solve 5*n - 29 = -c, 2*c + u*n = 16 + 2 for c.
4
Suppose 13*w = 17*w - 20. Solve -3*z - 12 = -w*f, -2*f + 5*z + 1 = -0 for f.
3
Suppose 3*p - 30 = -3*o, -o = -5*p + 4*o. Solve -4*l - 3 = 2*h + 9, -2*l = -p*h + 30 for l.
-5
Let x(q) = q. Let v be x(-4). Let y = v + 6. Suppose -y*a + 2 = 8, -j - 5*a - 10 = 0. Solve -4*z = 3*n - 9, -3*n - z + 4 = -j for n.
3
Suppose t - 6*t - 10 = 0. Let y be 96/(-18)*3/t. Solve m + 3*m + 5*b - 28 = 0, -2*m + 3*b = y for m.
2
Suppose 4*y = a - 73, 4*a - 275 = -0*y - y. Suppose 0 = -2*b - 2*j + 6*j + 38, -3*j + a = 5*b. Solve q = 3*s - 17, -b = -5*s - 0*q - 5*q for s.
5
Let d(x) = 4*x + 3. Let w be d(4). Suppose -2*a - 1 = -7. Solve 5*v = 5*i + 10, a*i = v - 3*v + w for v.
5
Suppose 3*i + 0*i = -3. Let r(m) = -m - 48. Let v be r(-27). Let d be 2/(-3 - i)*v. Solve 4*c - 5*f + 37 = -0*c, -2*c + 3*f - d = 0 for c.
-3
Let x be 0 + (-1 - -2)*1. Suppose -20 = 2*n - 3*n. Let m be n/3 - 2/(-6). Solve 2*r = 5*h + m, -x + 3 = -r - 3*h for r.
1
Suppose -6 = -4*x + 6. Suppose 2*o = 2*b - 6, 3*b = -3*o - 0 - x. Solve 2*q + b = 5*q - d, 0 = d + 1 for q.
0
Suppose -2*v + 8 = -4*q, v - 13 = q - 4. Solve -h - 26 = -5*b, -3*b - 1 = 2*h - v for h.
-1
Let v be (1*2)/(-9 + 296/32). Solve -5*d = c - v, -c - 4*d + 16 = 3*c for c.
3
Let r be (30/(-9))/((-2)/6). Solve -2*u + v = -3*v + r, 10 = 4*u - 2*v for u.
5
Suppose 4*l = -l + 15. Solve 3*n + l*x + 9 = 2*n, 0 = 4*n - 5*x - 15 for n.
0
Let q be (-8)/(-20) + (-4)/10. Let a = 5 + q. Solve -4*o - 3*t = -5*t + 16, 15 = -5*o + a*t for o.
-5
Suppose 2*r = 2*a, -3 = -3*r + 5*a + 5. Let y be 66/14 + r/(-14). Solve -2*p = -y*m - 3, m - 1 = p + p for m.
-1
Let o(g) = -5*g + 24. Let i be o(4). Solve 0 = -a - 5*b + 2 + 16, -i*b = 3*a - 21 for a.
3
Suppose 0 = 2*y - 5*y + 54. Let a be 0*(y/(-4) + 4). Solve 4*m + 4 = 0, 5*r = -a*r + 3*m - 22 for r.
-5
Suppose -3*f - 27 = -3*l, -33 = l - 3*l + 5*f. Let s be (-4)/12 - 38/(-6). Solve n - 2 = 3*n, g - l*n = s for g.
2
Let v = 38 + -20. Solve -11 = -2*d + o - 2*o, 0 = -d - 3*o + v for d.
3
Suppose -3*g + 27 = 2*g + 3*b, -2*g - 3*b + 18 = 0. Let n = 1 - -7. Suppose -h = g*h - n. Solve -8 = -h*o - 2*v, -4*o - 6 = v - 7 for o.
-1
Suppose -u - 14 = -4*j + 1, 18 = 5*j - u. Solve j*h - 3*k - 9 = 0, 2*k + 2 = -3*h + h for h.
1
Suppose 0 = -26*i + 9*i + 272. Solve -3*l - 5*r = l + 10, 4*l + i = -2*r for l.
-5
Let v be 49 - (-3 + 9)/2. Let c be 4/10 - v/(-10). Solve 3*t + 2*t + 4*d = 32, c*d = 3*t + 3 for t.
4
Let j be ((-22)/(-99))/((-2)/(-36)). Solve 9*c + 13 = -l + 4*c, j*l = 3*c + 17 for l.
2
Suppose -3*d + 0*d = -15. Suppose 5*r + 20 = -4*k, 3*k - 12 = d*k + 3*r. Let s = 2 + k. Solve -5*q = 5*f - 5, f + 8 = -s*q + 4*f for q.
-1
Suppose -4*a - 2*b + b = -12, 5*a + b = 14. Let i be 5/(-2) + (-2)/(-4). Let r be (-15)/i*8/6. Solve -a*w = -r, 4*x + 3*w = -w + 12 for x.
-2
Let r(o) = -8*o**2 + 2*o - 10 + 2*o - o**3 - 10*o. Let k be r(-8). Let v = k - 3. Solve 0 = -2*s - 2*h + 3 + 3, -5*s + 5*h = -v for s.
5
Let r(j) = j**3 - 4*j**2 + 3*j + 3. Let v be r(3). Let h be (-18)/2*v/(-9). Solve 3*a = h*g + 15, -5*a = g - 2*g - 9 for a.
1
Let n be (48/40)/(3/(-20)). Let l = n + 11. Solve -l*b + 2*s = -17, 16 = b + 2*b - s for b.
5
Let m be (12/9)/((-4)/18). Let d = 10 + m. Let h = -1 - -4. Solve -4*b - 2*w + d = 0, h*w = 4*b + 2*w - 10 for b.
2
Suppose -23 = -2*w + 4*x - 1, -5*w + 23 = -2*x. Let q(c) = 3*c - 1. Let z be q(1). Suppose -z*v = -4*v. Solve 3*m = -7*p + w*p - 21, 4*m - 5*p - 3 = v for m.
-3
Let u = 12 + -10. Solve 3*o - w + 10 = 0, -4*w + 10 = 2*o - u for o.
-2
Let b(o) = -2 - 2 - 2*o + 1. Let i(v) = -2*v + 4. Let r be i(4). Let q be b(r). Solve 6*a - 2*a = y - 25, 2*a + q = -y for a.
-5
Let f be ((-30)/(-3))/(2 - (1 + -1)). Solve 0*h - h + f*a = -24, 4*h = -5*a - 29 for h.
-1
Let l = 4 - 2. Suppose -2*z - l = -z. Let c be z/4*-10 + -3. Solve 3*f + 5 = 2*v, v - 2*f - c = -v for v.
-2
Let x(z) = 1 - z + 3 + 7. Let t(h) = -2*h + 32. Let i(a) = 6*t(a) - 17*x(a). Let j be i(6). Solve -3*f + 4*u + j = -0*f, 3*f + 3*u = 0 for f.
5
Let o be (-18)/(6/(-2)) + -2. Suppose -5*i + z + 13 = -z, i - 7 = -o*z. Suppose -5*s + 16 = 6, -n + 3*s = i. Solve -n*d = 2*y + 9, y = -d - 2*d - 9 for y.
0
Suppose -6*h + 2*h = -100. Solve 5*d + 25 = t, -4*d = d + 2*t + h for d.
-5
Let h be (-2)/(-5) + 144/15. Suppose 0 = 2*x + 4*f + h, 0 = 4*x + 4*f + 20. Let j be ((-2)/x)/(2/40). Solve -4*q = -4*t + j, -2*t + 5*t + q = -6 for t.
-1
Suppose 5*k - 28 = -2*g, 7 = 3*g + 2*k - 13. Solve 15 = -5*b - 5*z, 2*b + 3*z = g*b + 16 for b.
-5
Let r = -31 + 56. Suppose 2*k - r = -3*z, -2*k + 1 = -4*z + 11. Let o = z - 0. Solve -o*l - 3*y + 1 = 0, 2*l - 6*l - 2 = y for l.
-1
Suppose -3*g - 2*b = -7*b - 38, -g = 5*b - 6. Let k = g - 5. Solve 0 = -n + 2*i - i + k, 5*n + 5*i + 20 = 0 for n.
1
Let a(q) = 9*q - 14. Let s be a(2). Solve -4*o = -s*k - 12, 5*o + 2*k - 9 = 6 for o.
3
Let q be -4*(-4)/(-8)*(-10)/4. Solve 3*z + 2*r = 9, q*r = -7*z + 2*z + 15 for z.
3
Suppose 0 = -14*w + 67 + 45. Solve 3*o + a - 3*a - w = 0, -5*a = 5 for o.
2
Let f = 3 - 0. Suppose 0*l - 23 = -4*l + i, -f*i - 24 = -3*l. Solve -3*w = -3*p + 21, -3*p - 9 = w - l*p for w.
-5
Let t be ((-6)/10)/((-3)/15). Suppose -2*b + 11 = 5. Solve 4*p - t*y - 9 = p, -3*p = b*y + 15 for p.
-1
Let b(s) = -s**2 - 8*s - 6. Let f be b(-8). Let m = f + 6. Suppose 0 = 3*x - m*x - 18. Solve 2*r + 3*u = -2 - x, -2*r - 4*u = 12 for r.
2
Suppose -69 - 66 = 3*z. Let s be -5*3/(z/24). Let q be 2/s - 14/(-8). Solve -3*u + 4*y = 12, -5*u - q*y + 10 = 4 for u.
0
Let f(d) = -d + 6. Let q be f(-6). Suppose q - 37 = -5*z. Solve m - 5*j = 10, z = 3*m + 4*j - 6 for m.
5
Let o(h) = -4*h + 6. Let u be o(4). Let f = -3 - u. Solve -v + 2*c = 3, -3*c = f*v - 2*v - 11 for v.
1
Suppose -2 = -3*g + 13. Solve 2*i = -2*y - 2, 2*y + 14 = -0*i - g*i for y.
3
Let j be (120/(-32))/((-3)/(-8)). Let h = -5 - j. Suppose -2 = v - h. Solve -4*u + 7 = v*t - 10, u - 5*t = 10 for u.
5
Let s(y) be the first derivative of -y**3/3 + 3*y**2 - 6*y - 3. Let l be s(4). Solve -3*m + 4*z = 14, -4*m - 2*z = l + 2 for m.
-2
Let h = -10 + 18. Suppose -4*u - 4 = 4*o - h*o, 3*o - 3 = -u. Suppose -3*z + 69 = -u*z. Solve -5*m = -3*v + z, 2*m + 2*m + 20 = 4*v for v.
1
Let h(u) be the second derivative of -u**5/20 + u**3/3 - u**2/2 - 6*u. Let t be h(-2). Solve -2*j + 7*j + 3 = -w, 13 = 5*w - t*j for w.
2
Suppose -2*d = -0 - 2. Let x be 3 + -2 + 2 + d. Solve -4*p = -4*f + 4, -x*p + 0 = 4*f + 4 for p.
-1
Let n = 10 - 8. Suppose 25 = -n*q + 3*q. Solve 5*u - 35 = -2*f, f + q = 3*u + 3*f for u.
5
Let r(t) = 3*t**2 - 15*t - 13. Let f be r(6). Solve -2*u - 8 = -x - 2, f*u + 5*x = -30 for u.
-4
Suppose 5*p = p + 8. Solve -2*b = -p*n + 2, -b = 3*n + 13 - 0 for n.
-3
Suppose 2*p + 4 = 10. Solve 0 = p*g + 2*c + 4, -g + c = -3*g - 3 for g.
-2
Let g = -5 - -9. Suppose -20 = -g*i - 4. Solve 2*b - 2 = 0, -5*b = -r - i*r - 10 for r.
-1
Let i(z) = -z**3 - 3*z**2 - 2*z + 2. Let l be i(-2). Solve -3*w + 5*v = -l*w + 15, 4*v - 23 = 3*w for w.
-5
Let q = 8 - 6. Suppose -12 = -2*a - q. Solve y = -2*k - 4*y - a, 4*k - 4*y = 4 for k.
0
Suppose -13*x + 10*x = -15. Solve -9 = -t - 2*b, 3*b - 4*b + 27 = x*t for t.
5
Let b be (2 + 1 + (18 - 15))/2. Solve -b = j - 0*j, 4*s - 15 = j for s.
3
Let q be 2/(-7) + 2/7. Let o = 2 - q. Let v be o/(-3) + 24/9. Solve -g = -v*b - 6, 0*g - g = -3*b - 8 for g.
2
Let y(s) = -s**3 + 4*s**2 - s + 4. Suppose 0 = 3*n + 2*j - 9, 2*n + 5*j + 2 = 8. Let w be y(n). Solve 4*z = i + 2*i + 35, 0 = 2*z - w for i.
-5
Let r be 2/17 + (-66)/(-17). Solve -h = 4*h - z + 5, -4*h - 4 = -r*z for h.
-1
Let d(y) = y**3 + 7*y**2 + 7*y + 6. Let c be d(-6). Suppose -2*q - 1 + 9 = 0. Suppose -q*v + 12 = -c*v. Solve -3*n = v*u + 9, 5*u + 5*n + 3 = 4*n for u.
0
Let n be (-16)/(-8 - 0)*(2 - 0). Solve n*s - 2*g = -12, s - g - 3 = -7 fo | {
"pile_set_name": "DM Mathematics"
} |
2*v + 94
What is the a'th term of -8660, -33558, -74690, -132056, -205656, -295490, -401558?
-8117*a**2 - 547*a + 4
What is the q'th term of -370, -890, -1634, -2590, -3746?
2*q**3 - 124*q**2 - 162*q - 86
What is the f'th term of -279, -1259, -2915, -5289, -8423, -12359?
-7*f**3 - 296*f**2 - 43*f + 67
What is the p'th term of 57700, 115381, 173066, 230755, 288448, 346145?
2*p**2 + 57675*p + 23
What is the v'th term of -8583, -17079, -25471, -33747, -41895, -49903, -57759?
2*v**3 + 40*v**2 - 8630*v + 5
What is the g'th term of 4300, 6140, 9210, 13510?
615*g**2 - 5*g + 3690
What is the v'th term of 1020922, 1020922, 1020924, 1020928, 1020934, 1020942, 1020952?
v**2 - 3*v + 1020924
What is the x'th term of -1288, -4774, -10608, -18790, -29320?
-1174*x**2 + 36*x - 150
What is the r'th term of -29572, -236865, -799636, -1895623, -3702564, -6398197, -10160260, -15166491?
-29623*r**3 - r**2 + 71*r - 19
What is the q'th term of -6084828, -12169661, -18254494, -24339327?
-6084833*q + 5
What is the b'th term of 78356, 77772, 76242, 73292, 68448, 61236?
-79*b**3 + b**2 - 34*b + 78468
What is the b'th term of -2249969, -2250422, -2251185, -2252264, -2253665, -2255394, -2257457?
-b**3 - 149*b**2 + b - 2249820
What is the u'th term of -382189, -764400, -1146613, -1528828, -1911045, -2293264, -2675485?
-u**2 - 382208*u + 20
What is the q'th term of -27970, -52427, -76874, -101305, -125714?
q**3 - q**2 - 24461*q - 3509
What is the u'th term of -22663, -90619, -203877, -362437?
-22651*u**2 - 3*u - 9
What is the y'th term of -1167800, -2335297, -3502794, -4670291, -5837788, -7005285?
-1167497*y - 303
What is the g'th term of 261649347, 261649345, 261649341, 261649335, 261649327?
-g**2 + g + 261649347
What is the a'th term of -244, -69, 58, 137, 168, 151, 86?
-24*a**2 + 247*a - 467
What is the q'th term of -2138346, -2138207, -2138072, -2137941, -2137814?
-2*q**2 + 145*q - 2138489
What is the y'th term of -683676, -682995, -682314?
681*y - 684357
What is the p'th term of -39955, -42703, -45439, -48157, -50851, -53515, -56143?
p**3 - 2755*p - 37201
What is the z'th term of -7172959, -14345767, -21518575, -28691383?
-7172808*z - 151
What is the l'th term of 490979042, 490979045, 490979048?
3*l + 490979039
What is the l'th term of -134169, -268361, -402553, -536745, -670937, -805129?
-134192*l + 23
What is the d'th term of -5275, -20881, -46821, -83095?
-5167*d**2 - 105*d - 3
What is the z'th term of 2972, 2894, 2758, 2558, 2288, 1942, 1514?
-z**3 - 23*z**2 - 2*z + 2998
What is the g'th term of -12841667, -12841653, -12841629, -12841595, -12841551, -12841497, -12841433?
5*g**2 - g - 12841671
What is the a'th term of 2576, 2646, 2764, 2930?
24*a**2 - 2*a + 2554
What is the p'th term of 13392, 13474, 13632, 13872, 14200, 14622, 15144, 15772?
p**3 + 32*p**2 - 21*p + 13380
What is the a'th term of 9224, 11957, 14690, 17423?
2733*a + 6491
What is the f'th term of 1068223, 2136540, 3204857, 4273174, 5341491, 6409808?
1068317*f - 94
What is the w'th term of -59208, -58943, -58502, -57885?
88*w**2 + w - 59297
What is the w'th term of -637367, -637370, -637373?
-3*w - 637364
What is the t'th term of -575, -646, -733, -836?
-8*t**2 - 47*t - 520
What is the n'th term of 5838, 5655, 5172, 4245, 2730, 483?
-24*n**3 - 6*n**2 + 3*n + 5865
What is the y'th term of -8448, -16889, -25320, -33735, -42128, -50493, -58824?
y**3 - y**2 - 8445*y - 3
What is the t'th term of 4767, 38295, 129307, 306549, 598767, 1034707?
4791*t**3 - 4*t**2 + 3*t - 23
What is the y'th term of 4267, 8957, 13587, 18151, 22643, 27057, 31387?
-y**3 - 24*y**2 + 4769*y - 477
What is the k'th term of -714678, -714664, -714630, -714570, -714478?
k**3 + 4*k**2 - 5*k - 714678
What is the m'th term of 194423, 194173, 193923, 193673?
-250*m + 194673
What is the l'th term of 15438, 15550, 15704, 15900, 16138, 16418, 16740?
21*l**2 + 49*l + 15368
What is the k'th term of 2843642, 5686825, 8530008, 11373191, 14216374?
2843183*k + 459
What is the p'th term of -24737, -49884, -75027, -100166, -125301?
2*p**2 - 25153*p + 414
What is the t'th term of 418, 364, 320, 292, 286?
t**3 - t**2 - 58*t + 476
What is the q'th term of -307418, -614820, -922222, -1229624, -1537026, -1844428?
-307402*q - 16
What is the b'th term of -720, -4184, -13138, -30324, -58484, -100360, -158694?
-457*b**3 - 3*b**2 - 256*b - 4
What is the c'th term of -2294962, -4589928, -6884894, -9179860, -11474826, -13769792?
-2294966*c + 4
What is the o'th term of 10567267, 21134534, 31701801?
10567267*o
What is the n'th term of 21429, 17128, 12827, 8526, 4225, -76?
-4301*n + 25730
What is the k'th term of -4605, -5915, -7219, -8523, -9833, -11155, -12495?
-k**3 + 9*k**2 - 1330*k - 3283
What is the f'th term of -111591, -223364, -335137?
-111773*f + 182
What is the t'th term of -82387731, -82387733, -82387735?
-2*t - 82387729
What is the s'th term of 4878, 13625, 28204, 48615?
2916*s**2 - s + 1963
What is the t'th term of -2846, -11844, -26960, -48194, -75546?
-3059*t**2 + 179*t + 34
What is the j'th term of -10812224, -10812223, -10812222, -10812221, -10812220?
j - 10812225
What is the j'th term of 10023424, 10023426, 10023428, 10023430?
2*j + 10023422
What is the k'th term of -812019, -1623951, -2435793, -3247545, -4059207?
45*k**2 - 812067*k + 3
What is the v'th term of 202665, 810606, 1823823, 3242316?
202638*v**2 + 27*v
What is the t'th term of -8696, -35084, -79062, -140630, -219788, -316536?
-8795*t**2 - 3*t + 102
What is the f'th term of 1833, 2644, 4957, 9522, 17089, 28408?
125*f**3 + f**2 - 67*f + 1774
What is the b'th term of 10127094, 20254226, 30381356, 40508484, 50635610?
-b**2 + 10127135*b - 40
What is the d'th term of 503784, 1007536, 1511262, 2014950, 2518588?
-2*d**3 - d**2 + 503769*d + 18
What is the n'th term of -2269, -18063, -60915, -144349, -281889, -487059?
-2254*n**3 - 5*n**2 - n - 9
What is the d'th term of -734797, -735180, -735819, -736714?
-128*d**2 + d - 734670
What is the o'th term of -4967, -10189, -15425, -20669, -25915, -31157, -36389?
o**3 - 13*o**2 - 5190*o + 235
What is the o'th term of -46384, -48935, -53194, -59167, -66860, -76279?
-o**3 - 848*o**2 - 45535
What is the t'th term of 2385742, 2385707, 2385672, 2385637, 2385602?
-35*t + 2385777
What is the q'th term of -61442, -245782, -553016, -983144, -1536166, -2212082, -3010892?
-61447*q**2 + q + 4
What is the t'th term of -94804, -94683, -94530, -94333, -94080, -93759, -93358?
2*t**3 + 4*t**2 + 95*t - 94905
What is the o'th term of -333524, -667045, -1000566?
-333521*o - 3
What is the p'th term of 3284, 6543, 9822, 13121?
10*p**2 + 3229*p + 45
What is the q'th term of -48, 936, 2978, 6078, 10236, 15452?
529*q**2 - 603*q + 26
What is the w'th term of -415344, -830749, -1246154, -1661559?
-415405*w + 61
What is the g'th term of -465632, -931264, -1396896, -1862528, -2328160?
-465632*g
What is the d'th term of -48448185, -48448186, -48448187?
-d - 48448184
What is the n'th term of 6565, 6842, 7117, 7390, 7661, 7930?
-n**2 + 280*n + 6286
What is the q'th term of 222192567, 222192579, 222192593, 222192609, 222192627?
q**2 + 9*q + 222192557
What is the p'th term of 856658, 1713360, 2570062?
856702*p - 44
What is the d'th term of -2730, -5331, -7806, -10155, -12378?
63*d**2 - 2790*d - 3
What is the l'th term of -42936, -42618, -42286, -41934, -41556?
l**3 + l**2 + 308*l - 43246
What is the h'th term of -3505534, -3505530, -3505526, -3505522, -3505518?
4*h - 3505538
What is the k'th term of -2619, -14153, -33379, -60297, -94907?
-3846*k**2 + 4*k + 1223
What is the m'th term of -3514, -7021, -10454, -13777, -16954, -19949, -22726, -25249?
6*m**3 + m**2 - 3552*m + 31
What is the q'th term of -638244, -1276486, -1914714, -2552922, -3191104?
q**3 + q**2 - 638252*q + 6
What is the h'th term of -910539, -3642187, -8194935, -14568783, -22763731, -32779779, -44616927?
-910550*h**2 + 2*h + 9
What is the o'th term of 16767376, 16767375, 16767374, 16767373?
-o + 16767377
What is the b'th term of -7247057, -14494094, -21741131, -28988168?
-7247037*b - 20
What is the q'th term of -119548, -478081, -1075636, -1912213?
-119511*q**2 - 37
What is the f'th term of -4125, -4742, -5349, -5940, -6509, -7050, -7557, -8024?
f**3 - f**2 - 621*f - 3504
What is the x'th term of 45807, 45770, 45683, 45 | {
"pile_set_name": "DM Mathematics"
} |
be o(-12). Suppose 0 = n*x - 4*x - 137. What is the hundreds digit of x?
1
Let i be 44/6 + (-10)/30 - 7. Let v(k) be the second derivative of -k**4/12 - k**3/3 + 20*k**2 + k. What is the units digit of v(i)?
0
What is the hundreds digit of 35241/36 - (2/(-24) + 0)?
9
What is the tens digit of -5*((-1165)/(-20))/((-15)/24)?
6
Let k = 20 - 32. Let m(s) = -10*s**2 - 3*s + 22*s**2 + 0*s**2 + 3*s**3 + 14 - 2*s**3. What is the tens digit of m(k)?
5
Let p(b) = -b**3 + 10*b**2 - 16*b + 3. Let g be p(8). Suppose -u - 192 = -g*u. What is the tens digit of u?
9
Suppose -2*c + 2*r + 396 = 0, 2*c - r = 5*c - 602. What is the units digit of c?
0
Let c = -11 + 3. Let n = c - -8. What is the tens digit of (n + -10)*(-8)/5?
1
What is the hundreds digit of ((-34)/(-6))/(3/171)?
3
What is the hundreds digit of (8/(-7))/((-38)/22211)?
6
Let b be -2 + 1 - (-32)/12*3. Suppose 9*p = b*p + 180. What is the units digit of p?
0
Let t(y) = -4*y + 9. Let b be t(6). Let q = b - -17. Suppose n = q*n - 4. What is the units digit of n?
4
Suppose 3*n - 1698 = 3*y, -4*n = n + 4*y - 2875. What is the tens digit of n?
7
Let k = -658 - -1214. What is the units digit of k?
6
Let p = -1120 + 1937. What is the tens digit of p?
1
Let w(h) = h**2 + 2*h + 1. Let o be w(2). Suppose -o*j = -13*j + 32. Let k = j - -12. What is the tens digit of k?
2
Let r be (-1 - -21)/(-18 - -20). Suppose -3*v + 77 + r = 0. What is the units digit of v?
9
Let a be 3 - (10/5 - -1). Suppose a = l - 4*l + 438. Let f = 212 - l. What is the tens digit of f?
6
Suppose l = 2*c + 1760, -36*l + 8800 = -31*l - 2*c. What is the hundreds digit of l?
7
Suppose 2*x = 4*d - 2, -2*d - 14 = -7*x + 3*x. Suppose s - x*h - 83 - 111 = 0, 2*s + 2*h = 400. What is the units digit of s?
9
Let p(n) be the first derivative of -3*n**2/2 - 6*n - 12. What is the units digit of p(-5)?
9
Let j(b) = b - 5*b + 3*b + 4*b - 20. Let q be j(18). Suppose -3*m + 102 = -3*u, -q = -m - 3*u - 2*u. What is the tens digit of m?
3
Let h = -246 + 437. What is the tens digit of h?
9
Suppose 0 = 2*t - 6, -11*r + 3101 = -7*r - 5*t. What is the tens digit of r?
7
Let c be 3/(-4)*(-24)/3. Let h be (0 - 1) + 0/1. Let l = h + c. What is the units digit of l?
5
Suppose 4*n - 7504 = -2*u, 0 = 4*n - 4*u + 8*u - 7508. What is the hundreds digit of n?
8
Suppose -2*h - 3 = -11. Let g be (140/21)/(h/6). What is the units digit of g*2*(-6)/(-6)?
0
Let q be 9/24 + (-3985)/(-40). What is the tens digit of q/(2/(-2 + 4))?
0
What is the units digit of 1044/1 + (76 - 82)?
8
What is the units digit of (-4 + 2 + -3269)*(-3 + 2)?
1
Suppose -84 = -6*y + 2*y. Suppose -3*t = -y - 3. Suppose i + 2 - t = 0. What is the units digit of i?
6
Suppose 5*w = r + 2261, 3*r - 658 = -2*w + 243. What is the tens digit of w?
5
Let z be 6/((-2)/11 + (-1045)/(-6413)). Let n = 535 + z. What is the hundreds digit of n?
2
Let p be (84 - 1)*(-5 + 4). Let g = p + 92. What is the units digit of g?
9
Let l = 7962 - 3064. What is the units digit of l?
8
Suppose 3*k - 29 + 5 = 0. Suppose -4*b = k*b - 3084. What is the units digit of b?
7
Let o = 321 - 66. What is the tens digit of o?
5
Suppose -4*f - 62 = -5*d + 59, -d + 20 = -5*f. Let i = 1 + -19. Let g = i + d. What is the units digit of g?
7
Suppose -63292 = -19*l + 8661. What is the thousands digit of l?
3
Suppose 17*l - 9624 = 5*l. What is the tens digit of l?
0
What is the units digit of 9/63*7*(-313)/(-1)?
3
Let d(v) = 22*v**3 + 7*v**2 - 6*v + 1. What is the hundreds digit of d(5)?
8
Let u(y) = 5*y - 7. Let q(m) = 4*m - 7. Let j(x) = -6*q(x) + 5*u(x). What is the units digit of j(-4)?
3
Suppose 82 = 4*q + 5*g, -4*g + g + 40 = 2*q. Let n = -56 + q. Let s = 71 + n. What is the units digit of s?
8
Let g be (-33)/(-5) + 12/(-20). Let m(u) = -u + 9. Let a be m(g). What is the tens digit of -2 + 0/a - -39?
3
Suppose 14*r - 7 - 21 = 0. Let d be (-2 + (-8)/(-6))*-6. Suppose -f - d = -r*f. What is the units digit of f?
4
Let q(y) = 8*y**2 - 24*y - 20. Suppose 2*h = 5*h + 12. Let u(t) = -3*t**2 + 8*t + 7. Let l(n) = h*q(n) - 11*u(n). What is the units digit of l(-11)?
6
Let v be 1 - ((-75)/(-20))/(9/12). Let u(l) = -12*l - 36. What is the tens digit of u(v)?
1
Let h = 337 + -129. Suppose o - 4*j = 135, -3*o + h = -3*j - 170. What is the tens digit of o?
2
Suppose -107*i + 110*i - 666 = 0. What is the tens digit of i?
2
Let l(n) = -2010*n - 185. What is the thousands digit of l(-1)?
1
Let l(b) = 5*b + 22. Let a(s) = 5*s**2 + 4*s + 9. Let z be a(-2). What is the hundreds digit of l(z)?
1
Let r = -103 + 106. Suppose c - 148 = -2*k + r*c, 288 = 4*k + 4*c. What is the units digit of k?
3
Let z be ((-66)/(-8))/11 + 22/(-8). What is the tens digit of (-23)/z*6*1/3?
2
Let m(l) = 6 - 85*l + 86*l + 0. Let p be m(-16). What is the units digit of (-1 + 0)*(p - -6)?
4
Let r(t) = -t**3 + 12*t**2 - 10*t - 13. Let s be r(11). What is the units digit of ((-22)/8)/(s/16)?
2
Let r(m) = 39*m**2 - 8*m + 9. What is the hundreds digit of r(5)?
9
Let u(z) = -z**3 + 8*z**2 - 9*z + 10. Let v be u(7). Let r = 0 - v. Let p = r + 8. What is the tens digit of p?
1
Let f be 3/(-2*4/376). Let n = 20 - f. What is the tens digit of n?
6
Let i be (22/8 - 3)*-12. What is the units digit of ((-3)/i)/(1/(-3)) + 19?
2
Suppose -10*f + 6*f + s + 8375 = 0, -4*s = -4. What is the thousands digit of f?
2
Let b(k) = 4*k - 4. Let v be b(2). Suppose -2*z + 410 = 3*h + 3*z, -2*h = v*z - 270. What is the hundreds digit of h?
1
Let n = 1142 - 438. What is the tens digit of n?
0
Let b(h) = h**2 - 12*h + 7. Let j be b(11). Let c(o) = -o**2 + 3*o + 2. Let t be c(4). What is the units digit of 1/t - 34/j?
8
Let l(p) = 5*p - 21. Let z(i) = 2*i - 10. Let d(m) = 3*l(m) - 5*z(m). Suppose 0 = -2*y + t + 22, y - 5*t = 6 + 14. What is the tens digit of d(y)?
3
Let z = -5 - -263. What is the units digit of z?
8
Let i(q) = -q**3 - 5*q**2 - 5*q. Let d be i(-4). Let z(u) = -u**3 + 17*u**2 + u - 21. Let k be z(17). What is the tens digit of 1/d + (-59)/k?
1
Let g(v) = 10*v**2 - 7*v + 8. Suppose 15 = 3*q + 5*r, -5*r + 3 - 8 = -q. What is the tens digit of g(q)?
2
Let b(i) = i + 11. Let z be b(-9). Let u be (6/5)/(z/(-10)). What is the units digit of 26/(-3)*u/4?
3
Suppose 3*k = 5*s + 113, 0 = 2*s - 5 - 5. What is the units digit of k?
6
Suppose -3*c - j = -22, -3*j = 2*c + j - 8. Let b be (1 - c)*(-60)/(-35). What is the tens digit of 4/b*3 + 25?
2
Let h(k) = 2 + 0*k**2 - 2*k**2 - k**2 - 6*k**3 + 0. Let u be h(-2). Suppose j - 17 - u = 0. What is the units digit of j?
5
Let a(w) = -2*w**2 + 3*w + 125. What is the tens digit of a(0)?
2
Suppose 5*m + 3406 = 18*m. What is the units digit of m?
2
Suppose -3*d = 9, -4*d - 631 = -4*m - 3*d. What is the hundreds digit of m?
1
Let i = 660 + -196. What is the tens digit of i?
6
Let k(c) = c**2 - 4*c + 3. Let s be k(4). Suppose 0 = -5*j + s*l + 435, -261 = -3*j + 6*l - 4*l. What is the units digit of j?
7
Let c = 9 + 5. Suppose -11 = 5*k + c, -3*k - 335 = -5*i. What is the tens digit of i?
6
Let r = 141 + -88. Suppose -r = -4*g + 135. Suppose -4*o - 11 + g = 0. What is the units digit of o?
9
Suppose -10*y + 273 + 507 = 0. Suppose 5*j - y = -8*j. What is the units digit of j?
6
Suppose 78*y - 1625 = 73*y. What is the hundreds digit of y?
3
Suppose 35 + 5 = 4*j. Let u(q) = 10*q - 66. What is the units digit of u(j)?
4
Let c(g) be the second derivative of g**3/3 + g**2 - 2*g. Let r be c(4). What is the tens digit of 260/(-25)*r/(-4)?
2
Let z = 34 - 29. Suppose -z*c - l = -929, c + 3*l = 18 + 165. What is the tens digit of c?
8
Suppose -3*i = -3*h, 2*i - h - 3 = -2*h. Let p(z) = 19*z + 3. What is the tens digit of p(i)?
2
What is the hundreds digit of (-51 + 608)*2/2?
5
Let x = -64 - -66. Suppose 0 = x*h + 5*q - 0*q - 45, -h - 2*q + 24 = 0. What is the tens digit of h?
3
Suppose -6*t - 93 = -9*t. Suppose 615 = -28*u + t*u. What is the units digit of u?
5
Suppose -109*s + 3642 = -103*s. What is the tens digit of s?
0
Let p(o) = o**2 - 3*o + 3. Let z be p(3). Suppose 0 = -z*n + b - 2, -2*n - 4 + 0 = -2*b. Let j = 2 - n. What is the units digit of j?
2
Let d(f) = 2*f**3 - 6*f**2 + 1. Let k be d(4). Let o = 38 + k. What is the units digit of o?
1
Let y(t) be the first derivative of t**4/4 - 6*t**3 + 11*t**2 - 18*t - 4. What is the tens digit of y(17)?
6
Let o = 1837 + -1179. Wh | {
"pile_set_name": "DM Mathematics"
} |
of -o**4/8 + 2*o**2. Let c(q) = 10*q. What is -2*c(n) - 7*s(n)?
n
Let h(y) = 4*y - 6. Let b(l) = 7*l - 11. What is -6*b(s) + 10*h(s)?
-2*s + 6
Let z(h) = 5*h**2 + 3*h + 15. Let o(g) = 2*g**2 + 2*g + 8. What is 7*o(y) - 4*z(y)?
-6*y**2 + 2*y - 4
Let u(g) = -13*g**2 - 25*g + 20. Let x(k) = -6*k**2 - 12*k + 10. Let m(a) = 2*u(a) - 5*x(a). Let w(t) = -3*t**2 - 7*t + 7. Give 5*m(l) + 7*w(l).
-l**2 + l - 1
Let y(a) = 7*a**3 - 21*a - 21. Let u(c) = -c**3 + c + 1. Calculate -21*u(w) - y(w).
14*w**3
Let d(s) be the second derivative of 1/20*s**5 - 1/6*s**4 + 0 - 9*s + s**2 - 1/3*s**3. Let a(i) = -5*i**3 + 9*i**2 + 9*i - 9. Calculate 2*a(p) + 9*d(p).
-p**3
Let a = 10 + -16. Let g = a - -7. Let s(n) = n**3 - n - 1. Let z(v) = -6 + 3 + 2*v**3 - 3*v + 0*v**3. Calculate g*z(o) - 3*s(o).
-o**3
Let c(m) = -m**3 + 4*m**2 - 3*m. Let j be c(3). Let p(b) = 3*b**2 + j + b + 6 + b**2. Let z(d) = d**2 + 1. Determine -p(w) + 6*z(w).
2*w**2 - w
Let j(v) = -4*v**3 - 2*v**2 + 3*v + 2. Let z(s) be the first derivative of 11*s**4/4 + 2*s**3 - 4*s**2 - 6*s + 16. What is 8*j(t) + 3*z(t)?
t**3 + 2*t**2 - 2
Let z(f) = -f**3 - f. Let q(o) = 3*o**3 + 2*o**2 + 2*o - 3. Determine -q(m) - 2*z(m).
-m**3 - 2*m**2 + 3
Let q(b) = 3*b - 3. Let v(f) = 2*f - 8. Let x be v(6). Suppose 2*t - x = 4. Let n(h) be the first derivative of 7*h**2/2 - 7*h - 1. Give t*n(c) - 9*q(c).
c - 1
Let u(q) = q. Let x be -2*2*(-12)/16. Let g(k) be the first derivative of -2 + 0*k - 2/3*k**x + 3/2*k**2. Give g(h) - 3*u(h).
-2*h**2
Let d(p) = p. Let b(o) be the first derivative of o**4/6 - o**2 - 4. Let f(t) be the second derivative of b(t). Calculate -6*d(a) + f(a).
-2*a
Let p(l) = -l**3 - 2*l**2 - 4*l. Let n(o) = 2*o**3 + 3*o**2 + 7*o. Suppose -7*s = -12*s + 35. Determine s*p(w) + 4*n(w).
w**3 - 2*w**2
Suppose -y - 8 = -0*v + 5*v, -4 = -2*y. Let n(q) = -25 + 57 - 29. Let o(a) = a + 16. Determine v*o(x) + 11*n(x).
-2*x + 1
Let d(q) = 11*q + 3. Let p(o) = o**2 + 21*o + 5. Give -5*d(s) + 3*p(s).
3*s**2 + 8*s
Let q be 1/(-4) + (-30)/(-24). Let t be (q/3)/((-15)/225). Let n(p) = 3*p**3 + p. Let x(z) = 7*z**3 + 3*z - 1. Give t*n(g) + 2*x(g).
-g**3 + g - 2
Suppose p - 8 = -3*p. Let a(u) = 7*u**3 - u**2 - 2*u - 3*u**3 + 4*u**p - u**2. Let f(z) = -z**3 - z**2 + z. Determine -a(b) - 2*f(b).
-2*b**3
Let w(h) = -84*h**2 - 70. Let a(y) = y**2 + 1. Give 70*a(k) + w(k).
-14*k**2
Let p(g) = g**3 + 4*g**2 - 3*g + 7. Let b be p(-5). Let q(n) = 2*n**2. Let l(r) = -r**2. Give b*q(t) - 8*l(t).
2*t**2
Let i(w) = -5*w + 1. Let m be (-4)/14 + 38/(-14). Let a(p) = p**2 - 8*p - 10. Let x be a(8). Let u(n) = 16*n - 4. Determine m*u(f) + x*i(f).
2*f + 2
Let j(b) = -2*b**2 + 4*b - 5. Let r(y) = 2*y**2 - 3*y + 4. Suppose 0 = m + 6 - 15. Suppose -5*g = -2*g - m. Determine g*r(v) + 2*j(v).
2*v**2 - v + 2
Let g(y) = 2*y + 11. Let a(n) = n + 5. Give -13*a(d) + 6*g(d).
-d + 1
Suppose -117 = -10*z + 19*z. Let w(v) be the third derivative of -v**4/3 + 5*v**3/6 - 3*v**2. Let t(u) = -17*u + 11. Give z*w(k) + 6*t(k).
2*k + 1
Let p(n) = 10*n + 0*n + 3*n - 8*n. Let h(k) = -2*k. Give -14*h(g) - 6*p(g).
-2*g
Let d(h) = -2*h - 1. Let q(u) = 4*u - 12. Give -3*d(b) - q(b).
2*b + 15
Let j = -23 - -6. Let h(g) = -3*g + 6. Let s(b) = -9*b + 17. Calculate j*h(x) + 6*s(x).
-3*x
Let z(p) = -p + 1. Let w(s) be the second derivative of -s**2/2 + 13*s. What is 3*w(r) - z(r)?
r - 4
Let s(k) = k - 1. Suppose x = 4*x - 42. Suppose -5*w - 29 = -p, -4*w - x = 6. Let n(h) = 2 - p + 1 - 1. What is -n(r) + s(r)?
r + 1
Let z(p) be the first derivative of -p**3/6 + p**2/2 - 3*p + 2. Let o(k) be the first derivative of z(k). Let m(b) = -5*b + 6. Determine -4*m(x) + 22*o(x).
-2*x - 2
Let b(c) = 14*c - 18*c - 5 + 1 + 5. Suppose 7*s = 3*s + 40. Let i(y) be the second derivative of -7*y**3/6 + y**2 + y. Determine s*b(o) - 6*i(o).
2*o - 2
Let r(v) = 26*v**3 - 39*v**2 + 39*v. Let n(h) = -h**3 + h**2 - h. Determine 39*n(o) + r(o).
-13*o**3
Let j(g) = 23*g**2 - 2*g - 2. Let k(d) = 22*d**2 - 3*d - 3. What is -3*j(p) + 2*k(p)?
-25*p**2
Let b(z) = 9*z**3 - 4*z + 4. Let q(n) = n**3 + n - 1. Give -b(s) - 4*q(s).
-13*s**3
Let o(r) = 6*r - r**2 + 3 - 7*r - 2. Let k(b) = 2*b - 5. Calculate k(a) + 2*o(a).
-2*a**2 - 3
Let t(s) = 13*s**2 + 7*s - 3. Let i be 3/(-2)*(-1 - 1). Let l(h) = -i - h - 1 + 4*h + 6*h**2 + 3. Give -7*l(k) + 3*t(k).
-3*k**2 - 2
Let f(l) = -2 + 2 + 13*l - 16*l. Let g(p) = -9*p. Give 8*f(i) - 3*g(i).
3*i
Let l(h) = 9*h - 1. Let i(v) = -4*v. Let m(x) = 5*i(x) + 2*l(x). Let j(k) = 3*k + 3. What is 4*j(f) + 5*m(f)?
2*f + 2
Suppose -v = -0*v + 1. Let k(i) = i - 1. Let f(d) = -6*d + 3. Determine v*f(q) - 4*k(q).
2*q + 1
Let t(s) = 4*s**2 - 3*s - 3. Suppose -3*n + 6*n + 9 = i, -2*n = -i + 7. Let l(h) = 5*h**2 - 4*h - 4. Give i*t(x) - 2*l(x).
2*x**2 - x - 1
Let i(j) = 3*j**2 - 5*j - 5. Let p(s) = -s - 1. Give -i(c) + 5*p(c).
-3*c**2
Let s(c) be the third derivative of -c**6/40 + 17*c**2. Let t(f) = 2*f**3. Give -5*s(h) - 7*t(h).
h**3
Let d be (-2)/(-5) + 66/(-15). Let n(y) = 4*y + 9. Let g(q) = 2*q + 5. Give d*n(x) + 7*g(x).
-2*x - 1
Let j(f) = 11*f - 6. Let l(b) = 1. Calculate j(o) + 5*l(o).
11*o - 1
Let p = 1 + 4. Let x(c) be the first derivative of -2*c**3 - 5*c + 1. Let z(t) = -5*t**2 - 4. Give p*z(h) - 4*x(h).
-h**2
Let n(s) be the first derivative of s**3/3 + 5*s**2/2 + 2*s - 1. Let k(b) = 2*b + 1. Let r be (-3)/(-6)*(-9 + -1). What is r*k(a) + 2*n(a)?
2*a**2 - 1
Let w(m) = 18*m**2 + 5*m. Let a(t) = 9*t**2 + 2*t. Calculate -5*a(k) + 2*w(k).
-9*k**2
Let h(z) = -29*z - 17. Let i(o) = 10*o + 6. Calculate 4*h(l) + 11*i(l).
-6*l - 2
Let q(f) = -1. Let g(z) = -z - 2. Suppose 0*m + 12 = 3*m. Let x be 2/m - 9/6. Determine x*g(a) + 2*q(a).
a
Let a(h) be the first derivative of -2*h**3/3 + h**2 + 7*h + 1. Suppose -2*t + 33 = 45. Let j(n) = -2*n**2 + 2*n + 6. Calculate t*a(b) + 7*j(b).
-2*b**2 + 2*b
Let y(f) = 4*f + 5. Let n(w) = -4*w - 6. Calculate -3*n(k) - 2*y(k).
4*k + 8
Let m(t) = 2*t - 3. Suppose 91 = 10*d + 3*d. Let c(h) = -4*h + 7. Determine d*m(f) + 3*c(f).
2*f
Let w(x) = 2*x**2 + 9*x - 6. Let s(v) = v**2 + 3*v - 2. Determine 8*s(i) - 3*w(i).
2*i**2 - 3*i + 2
Suppose 25*u - 6 = 27*u. Let a(h) = 4*h**2 - h - 4. Let y(c) = -c**2 + 1. Calculate u*y(z) - a(z).
-z**2 + z + 1
Let s(a) = -9*a**3 + 2*a**2 + 3*a + 3. Let i(l) = -l**3 + l. What is 6*i(c) - s(c)?
3*c**3 - 2*c**2 + 3*c - 3
Let h(d) = 3*d**2 - 17. Let r(u) = -u - 2*u + 3*u + 6 - u**2. What is 6*h(i) + 17*r(i)?
i**2
Let v(y) = y + 1. Let n(w) = -w. Suppose -11*r - 3 - 30 = 0. Calculate r*n(l) - v(l).
2*l - 1
Let z(r) = 7*r + 1. Let u(q) = -10*q - 1. Let y(o) = -o. Let s(k) = -u(k) + 4*y(k). What is -3*s(p) + 2*z(p)?
-4*p - 1
Let v(p) = -p + 2. Let b(n) = 7*n - 13. Let a be 3 - (3 - (6 + 0)). Calculate a*b(o) + 39*v(o).
3*o
Let y(l) = 6*l**2 - l - 4. Let t(g) = -5*g**2 + g + 3. Let x = -21 - -25. Determine x*t(b) + 3*y(b).
-2*b**2 + b
Let o(t) be the first derivative of -3*t**2 + 5 - 4 - 2. Let a(k) = -2*k. What is -16*a(w) + 5*o(w)?
2*w
Let t(p) = 24*p + 21. Let b(a) = a + 1. Give 42*b(o) - 2*t(o).
-6*o
Let x(m) = -m**2 + 1. Let r(d) = -13*d + 7*d + 2*d**2 - 2 + 6*d. Determine 3*r(g) + 4*x(g).
2*g**2 - 2
Let j(t) = 3*t - 3. Suppose -2*f + 17 - 5 = -b, 3 = f - 2*b. Suppose -46 = -o - 49. Let v(w) = w - 1. Give f*v(u) + o*j(u).
-2*u + 2
Let p(j) = 14*j**2 - 11*j + 9. Let u(y) = -7*y**2 + 6*y - 5. Give 3*p(q) + 5*u(q).
7*q**2 - 3*q + 2
Let l(h) = -15*h**2 - 14*h + 3. Let m(n) = 5*n**2 + 5*n - 1. What is 6*l(p) + 17*m(p)?
-5*p**2 + p + 1
Let u(o) = 9*o - 9. Let v(b) = -9*b + 10. Let h(s) = 3*u(s) + 4*v(s). Let w(a) = 4*a - 6. What is -6*h(y) - 13*w(y)?
2*y
Let d(f) = -2*f - 2. Let m(o) be the first derivative of -o**2/2 - o - 4. Determine d(a) - m(a).
-a - 1
Let z(n) = -6*n**2 + n + 1. Let l(y) = y**3 - 10*y**2 - 22*y - 22. Let d be l(12). Let j(w) = 3*w**2 - 4*w**2 + 0*w**2. Calculate d*z(k) - 14*j(k).
2*k**2 + 2*k + 2
Let u(s) = s**2 + 2*s. Suppose -c + 5 + 0 = 0. Let b be c/((-45)/6)*27. Let f(l) = -5*l**2 - 9*l. Determine b*u(p) - 4*f(p).
2*p**2
Let i = 9 - -1. Let r(v) = -v + 12. Let m be r(i). Let u(o) = o**2 + 0 + 4 + 2. Let w(t) = 1. Calculate m*u(h) - 14*w(h).
2*h**2 - 2
Suppose 5*p + 5 = -0. Let a(m) = -4*m**2 + 4*m - 1. Let k(s) = -s**2 + s. Let g be 26/6 - 2/(-3). What is g*k(f) + p*a(f)?
-f**2 + f + 1
Let y | {
"pile_set_name": "DM Mathematics"
} |
n*d - 654, -3*d + 3802 = 5*y. Is y a prime number?
True
Suppose 7*v - 3*v - 24 = 0. Is 12094/v - 36/(-27) a prime number?
True
Suppose 5*p - 2 = -f, -3*f - p + 8 = f. Suppose -f*k + 544 = -346. Suppose -5*i = -20 - k. Is i a prime number?
False
Suppose 11*s - 566 = 622. Suppose i = -3*i + o + 202, -2*i = 3*o - s. Is i a prime number?
False
Let x = 1 - -2. Let r = -159 + 164. Suppose -4*j - r*v + 456 = -216, x*j - 493 = -v. Is j a prime number?
True
Let f(c) = 2*c**3 + 19*c**2 - 22*c - 21. Let v be f(-14). Let m = 1014 - v. Is m a prime number?
False
Suppose 28*k - 13816 = 20*k. Is k composite?
True
Let w(g) = g**3 - 2*g. Suppose -8 = 2*s - 4*s. Let d = 7 - s. Is w(d) prime?
False
Suppose -4*x + 1377 = 3*w - 571, -4*x + 1948 = -2*w. Suppose -8*c + 266 = z - 3*c, 5*c + x = 2*z. Is z prime?
True
Suppose 0 = 5*c + c - 3*c. Suppose c = -3*j + l + 81 + 394, 2*j + 5*l - 294 = 0. Is j composite?
False
Let u(n) = 3*n - 6. Let r be u(6). Let t = -9 + r. Suppose t*s - 13 = 62. Is s prime?
False
Suppose -1 = -4*g - 5. Is 1 + g - -4 - 3*-585 prime?
True
Let l(v) = -9*v**3 - 4*v**2 - 2*v - 5. Let d(h) = h - 4. Let j be d(0). Is l(j) a composite number?
True
Suppose 62*h - 78*h + 125264 = 0. Is h a composite number?
False
Suppose 215*b - 204*b - 35255 = 0. Is b prime?
False
Let d(f) = 5*f**2 + 5*f + 17. Let h be d(7). Let g = h + 232. Is g a prime number?
False
Let r be (3/(-4))/((-282)/(-72) - 4). Let b(u) = 44*u - 34. Is b(r) a prime number?
False
Let z be (36/8)/(3/(-24)). Let c = 51 + z. Suppose 0 = -4*y + 4*x + 480, 3*x = -2*x + c. Is y a prime number?
False
Let i be 2/(9 - -3) - 155/30. Let p(y) = -170*y - 11. Is p(i) a prime number?
True
Let v(u) = -u - 11. Let l be v(-15). Suppose q - 6 = 4*q, -686 = -2*x - l*q. Is x a composite number?
False
Suppose 6 = 2*q - 34. Is (-8826)/(-7) + q/140 a prime number?
False
Suppose 6 = 4*k + v, -4*v + 6 = k - 3. Is (-37755)/(-36) - k/(-4) a prime number?
True
Let z(s) = 51*s - 32. Let m(c) = -c**2 - 8*c - 4. Let t be m(-5). Is z(t) a prime number?
False
Suppose -15*v + 102701 = 30866. Is v a prime number?
True
Let t = 7 - 0. Let w be -2 - -1 - (-2 - -2). Is (t/w)/(1/(-11)) a prime number?
False
Let c = -61 + 91. Is (-1187)/(-5) + (-12)/c a composite number?
True
Suppose 3*r - 4*t + 0*t + 11 = 0, -r - 12 = -3*t. Is (9 - r)/(2/83) a composite number?
True
Suppose -w + 3713 = -4*h, 5*w - 6*h - 18660 = -5*h. Is w composite?
False
Let j(z) = z**3 - 11*z**2 + 10*z + 11. Let x(m) = 6*m**3 - 54*m**2 + 50*m + 55. Let p(n) = -11*j(n) + 2*x(n). Is p(-9) a prime number?
False
Let u(l) = l**3 + 8*l**2 + 2*l + 6. Let f be u(-8). Let v(k) = -2*k - 16. Let j be v(f). Suppose j*g + 185 = 3*r - 89, 0 = -5*r - g + 472. Is r prime?
False
Suppose 31*s + 65811 = 1314677. Is s a composite number?
True
Suppose 8150 = 34*n - 5892. Is n a prime number?
False
Suppose -5*u - 1197 - 133 = 0. Is 0 - 1 - (u + 8) a prime number?
True
Let h be (3/(-9) - (-2)/(-3))*-5. Suppose -2*b + 9 = -h*b, -4*b - 1024 = -4*f. Is f a prime number?
False
Suppose -3*p + 2 = 2*u - 19, 0 = -3*u - p + 14. Let o(n) be the first derivative of n**4/4 - n**3 + n**2 + 3*n - 1. Is o(u) prime?
False
Suppose 2*p - 26634 = -4*t, 6*t + 5*p = 4*t + 13313. Is t prime?
True
Is (3 - 6 - (-28)/8)*1622 prime?
True
Suppose 3*r - 14*r = -14971. Is r composite?
False
Let v be ((-7)/4)/(6 - (-125)/(-20)). Suppose v*i - 4400 = 283. Is i composite?
True
Let f = 131355 + -56914. Is f prime?
True
Let v be 7/4 + 1/4. Suppose -d + v*g = -7 + 1, -3 = -d + g. Is (-371)/(-1) - (d + 0) prime?
False
Suppose -3*w - 2*w = 0. Is (w - -3)*28/12 composite?
False
Let b(o) = -2*o**3 + o**2 - o + 6197. Is b(0) a composite number?
False
Is 125 + 14/((-84)/18) a composite number?
True
Is (26 - 11223)*(0 - 1) a composite number?
False
Let y = 2 + 0. Suppose -v - 5 = 2*p - 4*p, -5*v - 4*p + 31 = 0. Suppose y*r + 359 = v*r. Is r prime?
True
Suppose -64891 = 8*c - 22931. Let p = -2658 - c. Is p composite?
True
Let s(r) = 10061*r**2 + 5*r - 3. Is s(1) composite?
True
Suppose -2*q + 4*q = -28. Let i(n) = -n**2 + n - 1. Let l(k) = -3*k**2 - 14*k - 5. Let g(j) = -2*i(j) + l(j). Is g(q) composite?
True
Suppose 2 + 4 = 2*u. Suppose u*y + 9 = 12. Suppose -n - y = -4, -g + 208 = -n. Is g a prime number?
True
Let c = 21 - 27. Let y be 150/(-20)*(-28)/c. Let w = 102 + y. Is w a prime number?
True
Let q(b) = 2*b**3 - 5*b**3 - 9*b**2 + 2*b**3 + 17 - 13*b + 23*b. Is q(-11) composite?
False
Let y(c) = -388*c - 26. Let n(m) = -m**2 - 16*m + 14. Let o be n(-17). Is y(o) prime?
False
Let u = 1643 - 807. Suppose -2*z + 528 = -4*b, b + 18 = z - 241. Suppose 0 = 3*i + z - u. Is i a prime number?
False
Suppose -46*g + 159966 = -28*g. Is g composite?
False
Let p(q) = 4*q - 28. Let s be p(7). Let l(f) = -2*f**2 + 2*f + 1198. Is l(s) a prime number?
False
Let s(q) = 52*q**2 + 3*q + 8. Let n be (-22)/(-55) - ((-14)/(-10) + 2). Is s(n) prime?
True
Suppose -14*u = -15*u + 5*n + 17517, 2*u - n = 35043. Is u a prime number?
False
Let w(r) = r**3 + 14*r**2 + 16*r - 4. Let k be w(-12). Suppose 3*u + 3*l - 153 - 105 = 0, -u = 3*l - k. Is u composite?
False
Let i(v) = 10 - 1 + v + 0*v. Let w be i(-7). Suppose 3*b - w*t = -t + 212, 4*b - 279 = 5*t. Is b composite?
False
Let o(s) be the first derivative of 3*s**3 - 4*s**2 + 2*s - 8. Is o(3) a composite number?
False
Let h(w) = 3*w - 3 + 6*w + 18*w. Suppose 17*g - 19*g = -16. Is h(g) a prime number?
False
Let s(r) = -4*r**3 - 10 - 3*r**3 - 4*r**2 + 5*r**3 + 4*r. Is s(-6) prime?
False
Let x(z) = -z**2 - 7*z - 7. Let o be x(-6). Let j be (10/(-4))/(o/(-94)). Let a = -122 - j. Is a prime?
True
Suppose 0 = 3*h - 2*b - 2654, 7*b - 3*b = -h + 894. Suppose -h - 831 = -l + 3*o, l - 2*o - 1720 = 0. Is l composite?
True
Let t = 48 + 1. Let s(y) = y**3 + 0*y**3 + 73 + t + y**2 - y - 4. Is s(0) composite?
True
Suppose 5*i - 129290 = 5*x, 7*i - 129299 = 2*i - 4*x. Is i prime?
False
Let r = 2 - 2. Suppose -m + 0*m + 2 = r. Suppose -m*y = -5*p - 136 - 2, 2*y = p + 122. Is y a composite number?
False
Suppose 6*a - 10*a = -4. Let x be 2 - a/(3 + -2). Is -1*(-505 - 3) + x a prime number?
True
Suppose -5*v + 9424 = -20611. Is v composite?
False
Suppose -2*v = b + 3*b - 22322, 0 = 5*b - 3*v - 27930. Is b composite?
True
Let s = 53 - 32. Let c be ((-272)/24)/(2/s). Is 34/c - (-3901)/7 composite?
False
Let v(l) = -6*l + 22*l + 17 - 14*l. Let d be v(-7). Suppose 0*x + 1419 = d*w + 3*x, 3*x - 12 = 0. Is w a prime number?
False
Suppose 65130 = 3*c - 3*t, 8*t - 21701 = -c + 12*t. Is c composite?
False
Let x = 49 - 38. Suppose -3*i + x*i - 3592 = 0. Is i a prime number?
True
Let o = 3509 - 910. Is o prime?
False
Let z = 25569 + -13716. Is z/7 + -3*(-4)/(-42) prime?
True
Suppose -2*g - 320663 = -21*g. Is g a prime number?
False
Let y(f) = f**3 + 7*f**2 - 9*f - 4. Let m = -2 + -6. Let p be y(m). Suppose p*h + 5*r = 3246, 4*r = -3*h + 1700 + 735. Is h prime?
True
Let y be 1 - -3 - (-312)/(-13). Let q = y + 23. Suppose q*w = 6*w + 5*o - 901, w - 291 = -4*o. Is w a composite number?
False
Suppose -135 - 17 = -38*i. Let l(r) = 4*r + 2. Let g be l(6). Suppose i*z + g = 150. Is z a composite number?
False
Let v(c) = -200*c + 37. Is v(-12) composite?
False
Suppose 30*x + 5*x = 4072285. Is x prime?
True
Let y(w) = w**2 + 2*w - 21. Let i = 59 - 84. Is y(i) a composite number?
True
Suppose 4*w + 3*i = 27797, -3 = -3*i + 6. Is w prime?
True
Suppose -4*y + 1 = -5*y. Let j be 1/y + (3 - -430). Let r = j + -305. Is r a prime number?
True
Let y(m) = 3*m**2 - 33*m - 55. Suppose -5*r = -4*q + 85 + 17, 4*r + q = -90. Is y(r) composite?
True
Let f(t) = -4*t**2 - 7*t + 4. Let o(k) = 4*k**2 + 6*k - 3. Let n(m) = 2*f(m) + 3*o(m). Is n(-8) prime?
True
Suppose -5 = -j + 3*b, 5*j + b = 3*j - 11. Let v = j - -3. Is v*(-267 - (1 - 3)) a composite number?
True
Let c(j) = 2081*j - 18. Is c(11) prime?
False
Let b(l) = -8*l**3 - 12*l**2 + 12*l + 1. Let g(j) = 4*j**3 + 7*j**2 - 6*j - 1. Let w(m) = 3*b(m) + 5*g(m). Let i = -5 - 0. Is w(i) a composite number?
False
Suppose -16442 - 6411 = -m. Is m a composite number?
False
Let y(q) = q**3 + 16*q**2 - 6*q + 11. Let z(j) = -j**2 - 3*j - 6. Let w be z(-4). Is y(w) a composite number?
True
Let a = -1687 - -3302. Suppose -2160 = -4*z + 4*u, 7*u + a = 3*z + 5*u. Is z a composite number?
True
Suppose 39*q - 15 | {
"pile_set_name": "DM Mathematics"
} |
there in 1052.9055ms?
0.017548425
What is thirteen fifths of a meter in centimeters?
260
How many milligrams are there in 27/5 of a gram?
5400
What is 0.7972498 centuries in decades?
7.972498
What is 3/8 of a microgram in nanograms?
375
How many milligrams are there in 48/5 of a gram?
9600
How many kilometers are there in 6.565815 centimeters?
0.00006565815
How many minutes are there in seventy-three quarters of a day?
26280
How many years are there in 3/50 of a century?
6
What is 7/4 of a century in months?
2100
Convert 0.1861707ng to tonnes.
0.0000000000000001861707
How many micrometers are there in five quarters of a millimeter?
1250
What is 1/20 of a kilogram in milligrams?
50000
What is 1/4 of a century in years?
25
What is fifty-five halves of a century in months?
33000
What is 1.343631ns in minutes?
0.00000000002239385
What is twenty-five halves of a centimeter in millimeters?
125
What is 21216.48 meters in centimeters?
2121648
Convert 51.76632ml to litres.
0.05176632
How many nanoseconds are there in 1/10 of a millisecond?
100000
How many millilitres are there in thirteen eighths of a litre?
1625
How many milligrams are there in 774.924 micrograms?
0.774924
How many nanometers are there in 27/2 of a micrometer?
13500
What is 3/8 of a meter in millimeters?
375
What is 32/5 of a centimeter in micrometers?
64000
How many milliseconds are there in 11/4 of a second?
2750
What is five quarters of a kilometer in meters?
1250
What is 1/4 of a micrometer in nanometers?
250
How many kilograms are there in 449712.1 milligrams?
0.4497121
How many nanometers are there in fifteen quarters of a micrometer?
3750
What is twenty-five quarters of a kilogram in grams?
6250
How many tonnes are there in 6202.839 kilograms?
6.202839
How many minutes are there in one fifth of a hour?
12
What is 23/3 of a year in months?
92
How many grams are there in 3/10 of a kilogram?
300
How many milligrams are there in 443.0419ug?
0.4430419
How many months are there in 6/25 of a century?
288
What is 0.71142 millilitres in litres?
0.00071142
What is 61/2 of a century in years?
3050
How many millimeters are there in 73833.58km?
73833580000
Convert 79805.24 years to centuries.
798.0524
How many milligrams are there in seven quarters of a gram?
1750
What is six fifths of a litre in millilitres?
1200
What is 0.7340562 centuries in decades?
7.340562
What is 0.898209 seconds in milliseconds?
898.209
Convert 186.27771 months to years.
15.5231425
What is one fifth of a tonne in kilograms?
200
What is 568.3217 kilometers in centimeters?
56832170
What is 11/2 of a litre in millilitres?
5500
Convert 669495.4us to seconds.
0.6694954
What is 3/5 of a century in decades?
6
How many days are there in 1473.50907ms?
0.000017054503125
How many millilitres are there in 6248.739l?
6248739
What is 136.28229 months in centuries?
0.113568575
How many litres are there in 858697.5ml?
858.6975
How many millilitres are there in fourty-nine quarters of a litre?
12250
What is 25.14264ml in litres?
0.02514264
How many milliseconds are there in 71.68627 minutes?
4301176.2
What is four fifteenths of a hour in seconds?
960
How many years are there in 6/5 of a decade?
12
How many millilitres are there in 41/2 of a litre?
20500
What is 3/10 of a meter in centimeters?
30
What is 5/6 of a week in hours?
140
How many months are there in 44/5 of a century?
10560
What is thirty-one sixths of a minute in seconds?
310
Convert 99636.42 months to centuries.
83.03035
How many months are there in three fifths of a decade?
72
How many nanoseconds are there in 34/5 of a microsecond?
6800
How many milligrams are there in 5/4 of a gram?
1250
What is 41332.2l in millilitres?
41332200
Convert 13.034583 months to centuries.
0.0108621525
What is twenty-nine fifths of a hour in seconds?
20880
Convert 987.6857l to millilitres.
987685.7
What is eighty-five quarters of a micrometer in nanometers?
21250
What is 343.1976 kilograms in tonnes?
0.3431976
How many decades are there in fifty-seven halves of a century?
285
What is 6/5 of a litre in millilitres?
1200
How many meters are there in 264768.9 micrometers?
0.2647689
Convert 89.61604 centuries to months.
107539.248
Convert 447.0673ug to nanograms.
447067.3
Convert 9414.52ml to litres.
9.41452
How many milligrams are there in 408.0592kg?
408059200
What is 1/5 of a micrometer in nanometers?
200
How many millimeters are there in 1/10 of a meter?
100
How many milligrams are there in fifty-seven fifths of a gram?
11400
How many grams are there in 1/20 of a kilogram?
50
How many litres are there in 5.974202 millilitres?
0.005974202
How many decades are there in one fifth of a century?
2
Convert 1531.842mg to micrograms.
1531842
How many millilitres are there in 588.344l?
588344
What is 6.710448 millennia in months?
80525.376
What is 2/45 of a day in seconds?
3840
What is 38643.5nm in centimeters?
0.00386435
How many months are there in 6/5 of a decade?
144
How many micrograms are there in 955207.6 nanograms?
955.2076
Convert 59353.847 days to weeks.
8479.121
Convert 183.91992 months to centuries.
0.1532666
How many months are there in 17/2 of a decade?
1020
What is 2/21 of a week in seconds?
57600
What is 630035.2 tonnes in kilograms?
630035200
What is 37/5 of a century in decades?
74
What is 6/5 of a micrometer in nanometers?
1200
Convert 24.39967l to millilitres.
24399.67
How many nanograms are there in 26178.43mg?
26178430000
Convert 6.572713 kilometers to centimeters.
657271.3
Convert 3925.255ug to tonnes.
0.000000003925255
Convert 203.313 grams to milligrams.
203313
Convert 0.1534133 centuries to months.
184.09596
What is fifteen quarters of a litre in millilitres?
3750
Convert 2383135.2 hours to days.
99297.3
How many milligrams are there in 11/2 of a gram?
5500
How many milliseconds are there in 2.469112ns?
0.000002469112
How many months are there in 3/5 of a decade?
72
What is 19/4 of a millennium in decades?
475
How many micrometers are there in 33.88703 millimeters?
33887.03
What is 11/2 of a litre in millilitres?
5500
Convert 10558.8 centuries to years.
1055880
What is seventeen halves of a litre in millilitres?
8500
What is 3/5 of a day in minutes?
864
How many micrometers are there in thirty-four fifths of a centimeter?
68000
What is 44/5 of a gram in milligrams?
8800
How many months are there in 13/8 of a century?
1950
How many minutes are there in 21/8 of a day?
3780
How many meters are there in 12/25 of a kilometer?
480
What is 3/8 of a milligram in micrograms?
375
What is 0.559479 minutes in seconds?
33.56874
How many centimeters are there in 57/5 of a meter?
1140
What is 7.45835 millennia in months?
89500.2
Convert 18993.3mg to nanograms.
18993300000
What is 3/32 of a week in seconds?
56700
How many nanograms are there in 13/4 of a microgram?
3250
What is seven halves of a tonne in kilograms?
3500
What is 1/6 of a year in months?
2
Convert 79.5062 centuries to decades.
795.062
How many micrograms are there in twenty-nine fifths of a milligram?
5800
How many centimeters are there in 19/4 of a meter?
475
How many millilitres are there in 13/5 of a litre?
2600
How many micrometers are there in 3/10 of a centimeter?
3000
How many kilometers are there in 8545.4 millimeters?
0.0085454
How many months are there in 3/10 of a millennium?
3600
How many minutes are there in 3/5 of a hour?
36
Convert 83.8594 millimeters to nanometers.
83859400
What is fourty-six ninths of a week in minutes?
51520
Convert 752.251 kilograms to grams.
752251
What is 11/8 of a decade in months?
165
Convert 674.1206km to centimeters.
67412060
What is eighteen fifths of a decade in months?
432
How many kilometers are there in 4.989273 micrometers?
0.000000004989273
How many decades are there in 115942.98 months?
966.1915
How many kilometers are there in 5614.637 millimeters?
0.005614637
How many seconds are there in 0.8820293 hours?
3175.30548
What is 884347.9 years in decades?
88434.79
How many microseconds are there in one twentieth of a millisecond?
50
What is 44/5 of a litre in millilitres?
8800
What is 0.8223713 nanograms in grams?
0.0000000008223713
What is eighty-seven fifths of a kilogram in grams?
17400
How many litres are there in 0.8316124 millilitres?
0.0008316124
What is 1/6 of a wee | {
"pile_set_name": "DM Mathematics"
} |
is the tens digit of r?
4
Let h be 5804/36 - 8/36. Let y be ((-138)/h)/(1 + 9/(-7)). Suppose 54 = r - 2*n, y*r - 194 = -2*n - 0*n. What is the tens digit of r?
6
Let i be ((-4)/(-5))/((-128)/(-320)). Suppose 5*d - 3221 = i*l, 2*l = d + 4*l - 649. What is the tens digit of d?
4
Suppose -8 = -s, 300*s - 296*s - 15708 = -2*i. What is the tens digit of i?
3
Suppose -5*j = -6*j - 6*j + 36379. What is the thousands digit of j?
5
Let x = 276 - 278. What is the tens digit of 47101/67 - (4/x)/2?
0
Let f(c) = -c**2. Let l(m) = -5*m + 362. Let j(x) = f(x) + l(x). What is the tens digit of j(0)?
6
Let i(z) = 13*z + 5. Let f be i(4). Suppose -15 = -v + 3*o, -3*v = 3*o + 2*o - 87. What is the tens digit of -3 - (f - 0)*v/(-36)?
3
Suppose -1402 = -o + 11077. What is the hundreds digit of o?
4
Let y(v) be the third derivative of -v**5/60 + 3*v**4/4 + 82*v**3 - 205*v**2. What is the units digit of y(0)?
2
Suppose 7*r = -3*r + 2820. What is the tens digit of (-2)/(-13) - r/(-26)?
1
What is the units digit of (-16)/(-28) - (-6420)/84?
7
Suppose -90*r = -46*r - 23*r - 252693. What is the tens digit of r?
3
Let o(l) = -28 + 21*l - 39*l + 22*l. Let r be o(8). Suppose -r*u + 490 = -2*c, u + 3*c = -u + 225. What is the hundreds digit of u?
1
Suppose m = -6*f + 3*f + 12, 4*f - 6 = 2*m. What is the tens digit of ((-9)/m)/((-2)/22)?
3
What is the thousands digit of 96/64 + 55990/4?
3
Suppose -6*q + 15 = -3*q. Let w(k) = -12*k**2 + 6*k - 2. Let f be w(q). Let p = f - -401. What is the tens digit of p?
2
Let j be (-7)/(-9) - 2/(-9) - -1. Suppose 0*h = -j*h + 200. What is the units digit of h?
0
Let a = -2699 - -2482. Suppose -r + 3*l - 131 = 0, -r - r + 5*l - 267 = 0. Let v = r - a. What is the tens digit of v?
7
Let r(z) = -z**3 - 7*z**2 + 5*z + 1. Let s be r(-8). Suppose -3*u = 2*u - s. Suppose -u*j + 0*j + 195 = 0. What is the units digit of j?
9
What is the units digit of (-7)/1 - (-50017)/33*(-27)/(-3)?
4
What is the hundreds digit of 43 - 21 - 39 - -14599?
5
Let h = 14671 - 9034. What is the tens digit of h?
3
Let s(d) = 4*d**2 - 32*d + 20589. What is the thousands digit of s(0)?
0
Let f(q) = 3*q - 8. Let h be f(20). What is the units digit of (1/5)/(h/166660)?
1
Suppose -g + 0*a = -4*a + 18, g - 18 = -5*a. Let v be g*(63/2 + -1). Let n = v - -134. What is the tens digit of n?
7
Let p = -15 + -12. Let v = p + 32. What is the tens digit of v/(15/342)*4/6?
7
Let s = -2172 + 18274. What is the ten thousands digit of s?
1
Let z = 6088 - 5030. What is the hundreds digit of z?
0
Suppose -u = -5204 - 2315. Suppose u = 3*g + 2452. What is the thousands digit of g?
1
What is the hundreds digit of (-79)/(-237) - (-3 + 120426/(-9))?
3
Suppose 0 = -4*d - d - k - 413, d + 4*k = -94. Let o = d - -143. Suppose -356 = -4*t - 3*f - o, 75 = t + 2*f. What is the tens digit of t?
7
Suppose -5*x + 3*r = -197054, 4*x - 157639 = 17*r - 16*r. What is the ten thousands digit of x?
3
Let y = 53515 + -29905. What is the thousands digit of y?
3
Suppose 21 = -4*i + 169. Suppose 8*b - i = 51. Suppose -140 = -b*v + 9*v. What is the tens digit of v?
7
Let t be (-2 - -17)*201/9. Suppose 5*y + 93 - 103 = 0. Suppose -2*s = 4*k - 7*s - t, -5*k = -y*s - 406. What is the units digit of k?
0
Suppose -73965 = -5*b + 4*i, 2*i - 40678 = -2*b - 11110. What is the hundreds digit of b?
7
Suppose -o - 18 = -2*h, h + 2*o - 2 + 3 = 0. Suppose -h*i = -3*i. Suppose i = 30*d - 32*d + 232. What is the units digit of d?
6
Suppose 3*t - 4582 = -5*x, 2*t - 1528 = t - x. Suppose 9*y = 8*y + t. What is the tens digit of y?
2
Suppose b + 2*k = 39626, -2*k + 33767 - 192251 = -4*b. What is the thousands digit of b?
9
Suppose -5*q + 1590 = -5*k, 3*k = -2*q + 8*k + 636. Let i = 323 + q. What is the tens digit of i?
4
Let y be ((-112)/24 + 5)/((-1)/9). Let m be 2*(2 + y) - -4. What is the tens digit of m/4*-2 + 2483/13?
9
Let c be 85*-8*(-4)/32. Suppose 91*l - 1692 = c*l. What is the units digit of l?
2
What is the thousands digit of ((-156)/117)/(16/(-202380))?
6
Let d(m) = m**3 - 86*m**2 - 324*m + 202. What is the ten thousands digit of d(91)?
1
Let z(w) = 3*w**3 + 39*w - 4*w**3 - 37 + 31*w**2 + 75. What is the hundreds digit of z(32)?
2
Let a = 2755 + 10358. What is the ten thousands digit of a?
1
Suppose -3*o + 59*q = 55*q - 270734, -2*o + 180488 = -4*q. What is the units digit of o?
6
Let y(f) = f**2 - 15*f + 53. Let k be y(5). Suppose 3*p + 1143 = k*i, 3*i - 354 = 4*p + 794. What is the tens digit of i?
7
What is the hundreds digit of (-319578)/(-102) - (-4)/(-34)?
1
Let r(j) = 102*j**2 - 512*j + 90. What is the hundreds digit of r(-23)?
8
Suppose 589626 = 14*i + 10*i + 3*i. What is the thousands digit of i?
1
Let l = 218 - -175. Suppose -1209 - l = -9*g. What is the units digit of g?
8
Let d(a) = -10*a + 381. Suppose 0 = -7*i + 8*i - 2, 0 = m + 5*i - 10. What is the hundreds digit of d(m)?
3
Suppose -5*a - 2*x = -10*a + 413669, 0 = -a + x + 82729. What is the units digit of a?
7
Let t(v) = -v**3 + 3*v**2 + 3*v - 4. Let i be t(3). Let r be (-6 - (-320)/45)*9. Suppose r*g - 5*g - i*l = 235, 2*l = -3*g + 161. What is the units digit of g?
1
What is the tens digit of 10508 - (-20 + 34)/2?
0
Let o = -1177 + 776. Let g = 683 + o. Suppose -12*k = -g - 834. What is the units digit of k?
3
Suppose -242 + 144 = -7*x. What is the tens digit of ((-24)/x)/((-14)/245)?
3
Let s = 11160 - 355. What is the hundreds digit of s?
8
Suppose 4*c - 54 = -3*x - 58, 0 = -5*c - 5*x - 10. Suppose -c*u = 5*p - 1493, 5*u + 1181 + 319 = 5*p. What is the units digit of p?
9
Let i(u) = 105*u**2 - 9*u + 105. Let w be i(25). Suppose -67*q = -12*q - w. What is the tens digit of q?
9
Let i(v) = 8*v**2 + 58*v + 18. Let w be i(-7). Suppose -2248 = -w*k + 4*f, -5*f = -14 - 6. What is the tens digit of k?
6
Suppose v = -5*g - 8 - 333, 0 = v + 4*g + 338. Let p = 162 - v. What is the tens digit of p?
8
Let w = 5878 - 3526. What is the tens digit of w?
5
Suppose 2*y = a, -a - 3*a = 4*y - 60. What is the tens digit of ((-817)/57)/(a/6 + -2)?
4
Let q(y) = 3*y**2 - 2*y + 0 - y**2 - 94*y**3 - 6. Let t be q(-2). Suppose 1000 = 4*z + l, 4*l = -4*z + t + 242. What is the units digit of z?
0
Let q = -4589 - -8608. What is the units digit of q?
9
Let r be 3*(10326/18 + 2). Suppose 3*w - 1034 = 4*l, 0 = -5*w - 3*l + 6*l + r. What is the units digit of w?
6
Suppose -4*p + 2*p + 11902 = i, 23788 = 2*i - 4*p. What is the ten thousands digit of i?
1
Let m = -39172 + 62194. What is the thousands digit of m?
3
What is the tens digit of (3 + -1 - 7)*(-52052)/385?
7
Let i(y) = 21*y**3 + 55*y**2 + 5*y - 93. What is the units digit of i(13)?
4
Suppose -3*o = 2*g - 289, -g + 4*o + 55 + 73 = 0. Let t = -59 + g. What is the units digit of t?
1
Let q = 846 + -396. Suppose q = m + 3*a, 206 = 4*m + 3*a - 1621. What is the hundreds digit of m?
4
Suppose 0 = -3*o - 0 + 9, o = -2*p + 3. Suppose -3*w + 4*v = -1115, -v + 766 = 2*w + 2*v. Suppose -4*q + 71 + w = p. What is the units digit of q?
2
What is the hundreds digit of (23 - (-391)/(-4))*-268?
0
Let k be (38/8)/(5/20). Let l = -13 + k. Suppose 4*m + 832 = 4*f, 3*f = l*f - 4*m - 626. What is the tens digit of f?
0
What is the thousands digit of (2 - 8 - -8) + (6/3 - -24378)?
4
Let n(o) = -o + 184. Let u be n(0). Let c = u + 91. What is the units digit of c?
5
Let d(t) = -359*t**2 - 26*t + 21. Let m(j) = -2*j**2 - j. Let l(h) = -d(h) + 5*m(h). What is the tens digit of l(1)?
4
Let h(o) = 30*o**2 - 22*o + 4. Let t be h(2). What is the tens digit of t/12*(-2652)/(-65)?
7
What is the thousands digit of 5987 + 364/(-35) + 2/5?
5
Let j be (5/(-15) + -1)*3. Let o(n) = 5*n**2 + 7*n + 16. Let v be o(j). Let m = -57 + v. What is the units digit of m?
1
Suppose -1273*m + 768291 = -1202*m. What is the hundreds digit of m?
8
Let u(s) = -19*s + 20. Let q(i) = 5*i - 36. Suppose 3*v - 4 - 13 = -p, -3*v = -4*p - 22. Let j be q(v). What is the tens digit of u(j)?
3
Let y = -15 - -34. Suppose -5*f = -y + 49. Let l(n) = -4*n - 11. What is the tens digit of l(f)?
1
Let i = 229 + -330. Let w = -11 - i. What is the units digit of w?
0
Suppose -5*q - 1684 = 4936. Let o = 2498 + q. What is the units digit of o?
4
Suppose 78*i = 77*i - 9. What is the tens digit of ((-5416)/18)/2*i?
5
Let t(v) = 5*v**2 + 2*v - 10. Suppose c - 48 = -5*y, -3*c = -7*c - 5*y + 132 | {
"pile_set_name": "DM Mathematics"
} |
/(2/(-2)))/(-1). What is the remainder when (-680)/b + k/2 is divided by 22?
20
Suppose d + 2 = -3*s - 4, 5*d + 4*s - 3 = 0. Suppose -k = -x + d + 6, -x = k - 19. Calculate the remainder when 39 is divided by x.
11
Suppose -3*v = -25 - 32. What is the remainder when 73 is divided by v?
16
Let j(i) = 14*i**2 - 2*i + 1. Suppose 0*s = 2*s + 6. What is the remainder when 3/(s/(-37)) - 0 is divided by j(1)?
11
Let t(l) = 48*l**2 - 2*l + 1. Suppose -2*g = -10, -5*h - 2*g = 1 + 74. Let s = h - -29. What is the remainder when t(1) is divided by s?
11
Let a = -29 + 41. Let o(f) = -f**2 - f + 4. Let n be o(0). Suppose -3*g + 62 = -n. Calculate the remainder when g is divided by a.
10
Let g(b) = b**2 + 9*b - 5. Let o be g(-10). Suppose 3*r = o*r - 10, -2*r + 9 = p. What is the remainder when ((-200)/(-15))/(p/(-3)) is divided by 14?
12
Let j = -12 + 12. Let m = j + 2. Suppose 10 = -5*v, c - 5*v - 6 = 2*c. What is the remainder when c is divided by m?
0
Let l(x) = -6 + 2 + x - 3*x + x**2 - x. Calculate the remainder when 28 is divided by l(-2).
4
Suppose -3*t = -5*t - 10. Let o(i) be the second derivative of -i**3/3 - 2*i**2 + i. Calculate the remainder when o(t) is divided by 3.
0
Suppose 1 - 22 = -2*b - 3*w, -2*w + 19 = 3*b. Suppose -b*y + 14 = -58. Suppose 0 = -4*c + 23 + 13. Calculate the remainder when y is divided by c.
6
Suppose 3*l - 2*r = 59, -2*r - 76 = -4*l + 2*r. Let s = 80 + -36. Suppose -5*f + f = -s. What is the remainder when l is divided by f?
10
Suppose 4 = -4*j, 0*q - 5*j + 5 = q. Suppose 3*n = 5*t + 10, -28 = -5*n - 2*t - t. Let c(w) = -w**2 + 7*w - 6. What is the remainder when q is divided by c(n)?
2
Let s = -12 + 17. Calculate the remainder when 31 is divided by (4 - (-3)/(-3)) + s.
7
Let w = 42 - 35. What is the remainder when 12 is divided by w?
5
Calculate the remainder when 38 is divided by -6*-10*2/12.
8
Suppose 4*i - 5*w - 62 = i, -2*w - 106 = -4*i. Let y(n) = -2*n**2 + n - 1. Let l be y(1). What is the remainder when i is divided by (-3)/l*(-40)/(-6)?
9
Suppose 3*r - 121 = -11*g + 6*g, -2 = -g. Let c = 90 - r. Let n = 6 - -12. Calculate the remainder when c is divided by n.
17
Let t be (168/32)/((-2)/16). Let d = 80 + t. What is the remainder when d is divided by 10?
8
Let l(n) = n**3 + 5*n**2 - n. Let v be l(-5). Suppose -2 + 27 = -5*s, 0 = v*d - 5*s - 35. What is the remainder when 2 is divided by d?
0
Calculate the remainder when 27 is divided by 28/2 + 2 + -1.
12
Suppose 2*p = -16 + 104. Let n = -3 - -8. Let y(d) = 2*d + 5. What is the remainder when p is divided by y(n)?
14
Suppose -2*a = -5*g - 55, 2*g - g + 67 = 2*a. Suppose -2*o + 4*l = -8 - 8, 4*l + 40 = 4*o. What is the remainder when a is divided by o?
11
Suppose -5*m + 10 = -0*m. What is the remainder when 22 is divided by m/(-1) - 0 - -10?
6
Suppose -4*j - 4 = -5*j. Suppose 4*b = j*i, -i - i - 5 = -3*b. Let m = 17 - 13. What is the remainder when b is divided by m?
1
Let v be 78*(-1)/6*3. Let d = -7 + -13. Let k = d - v. What is the remainder when k is divided by 7?
5
Let s = 57 - 11. Suppose 48 = -0*n + 4*n. What is the remainder when s is divided by n?
10
Suppose -4*q = -3*v + 34, 0*v - 16 = -4*v - 2*q. What is the remainder when 9 is divided by v?
3
Let c(r) = r**2 - r + 1. Let n(t) = t**2 + 9*t + 1. Let v(i) = -2*c(i) + n(i). What is the remainder when v(9) is divided by 5?
2
Suppose -2*v = 16 + 8. Let o = 40 - v. What is the remainder when o is divided by 18?
16
What is the remainder when 97 is divided by 1*75/6*2?
22
Let a be 2*((-53)/(-2) + -2). Suppose 17 = q - a. Calculate the remainder when q is divided by 17.
15
Let t = 56 + -36. Suppose 4*x - 17 - 11 = 0. Calculate the remainder when t is divided by x.
6
Let p = -17 + 40. Let w = p - 10. Calculate the remainder when 24 is divided by w.
11
Let r be 1*(-2 - -5 - -1). Suppose -r*j + 36 = -0*j. Suppose 0 = 5*n + 3*d - 105, 38 + 20 = 2*n - 2*d. What is the remainder when n is divided by j?
6
Let a = -25 + 61. Let f = -26 + a. What is the remainder when 38 is divided by f?
8
Let s(c) = c**3 - 2*c**2 - 6*c. Let k be s(5). Suppose 0 = -0*f - 3*f + k. Suppose 0*u + 4*u = 112. Calculate the remainder when u is divided by f.
13
Suppose -3*j = -2*j - 58. Let q = -11 - -23. Calculate the remainder when j is divided by q.
10
What is the remainder when (-84)/140 + (-1226)/(-10) is divided by 25?
22
Let j be (-174)/(-4) - 3/2. Suppose -3*o - l + 10 + j = 0, 37 = 3*o + 4*l. What is the remainder when o is divided by 1/(-2)*2 + 8?
5
Let m = 11 - 8. Suppose 0 = 4*f - f - x - 19, -5*x = -f - m. What is the remainder when -1*(-26)/(-4)*-2 is divided by f?
6
Let z be (-6)/9 - (-33)/9. Suppose -2*m - g + 31 = m, -4*m - z*g = -43. What is the remainder when 39 is divided by m?
9
Let d(a) = 2*a + 19. Let u(t) = t + 13. Let p(o) = -5*d(o) + 8*u(o). Let j be -1*(3 + 4) - 1. What is the remainder when p(j) is divided by 14?
11
Calculate the remainder when 383/7 + -1*4/(-14) is divided by 15.
10
Suppose -217 = -11*s + 4*s. What is the remainder when s is divided by 8?
7
Suppose 0*u + 4*u + 144 = 0. Let n = -7 - u. What is the remainder when n is divided by (-1)/((-2)/(-3))*-10?
14
Suppose 3*y = 6*y - 189. What is the remainder when y is divided by 22?
19
Let h = -9 - -14. What is the remainder when 7 is divided by h?
2
Let z = -3 - -6. Let q be 74/6 + (-2)/6. Suppose -z*t = t - q. What is the remainder when 6 is divided by t?
0
Suppose z - 7 = 4*j, 0 = 4*z - 5*z + 5*j + 4. Suppose -z - 2 = -g - 5*l, 5*g = -4*l + 189. Calculate the remainder when g is divided by 14.
13
Suppose -4*t + 175 = 5*g, -2*g = 6*t - 2*t - 190. Calculate the remainder when t is divided by 26.
24
Suppose -f + 2*f - 25 = i, 5*i = 3*f - 69. Let w(t) = t**2 + 4*t + 6. What is the remainder when (-9)/(-21) + 464/f is divided by w(-4)?
5
Let b(t) = -12*t - 15. What is the remainder when 62 is divided by b(-3)?
20
Let b be 8/(-28) + (-108)/14. Let r = 5 + b. What is the remainder when 19 is divided by ((-10)/(-2))/(r/(-6))?
9
Suppose -4*q = -2*q - 6. Suppose k - 5*k + 2*p + 206 = 0, -4*k + 201 = q*p. Calculate the remainder when 6 is divided by 1/(-4) + k/12.
2
Let p = 30 + -15. Calculate the remainder when 57 is divided by p.
12
Let j(g) = -g**2 - 6*g + 1. Let p be j(-5). Calculate the remainder when 31 is divided by (-2)/3*(-99)/p.
9
Let p = -20 + 41. Suppose -4*a = -43 - 205. What is the remainder when a is divided by p?
20
What is the remainder when 187 is divided by 2/(2 + (-10)/4) + 51?
46
Let h(l) = 20*l - 39. Suppose 6*r = r - 85. Let u(w) = -7*w + 13. Let f(d) = r*u(d) - 6*h(d). Calculate the remainder when 20 is divided by f(6).
6
Let y(j) = j**3 - 8*j**2 + 8*j - 2. Calculate the remainder when 12 is divided by y(7).
2
Let u(c) = -c**3 + 2*c**2 - c. Suppose -3*z + 40 = -9*l + 4*l, -5*l = 4*z + 5. Let a = z - 7. What is the remainder when 52 is divided by u(a)?
16
Let r(a) = a**2 - a - 7. Let j be r(0). Let z = j + 13. What is the remainder when 41 is divided by (-2)/(-1) + z*2?
13
Let s = -54 + 70. What is the remainder when 111 is divided by s?
15
Suppose t + 59 = 2*t - 3*c, -124 = -2*t + 3*c. Calculate the remainder when t is divided by 68*7/42*6/4.
14
Suppose 3*j + 4*r = 33 + 98, -5*j = 2*r - 209. Calculate the remainder when j is divided by 7.
6
Let h(l) = -l**2 - 2*l + 8. Let x be h(-7). What is the remainder when (-4)/18 + (-330)/x is divided by 7?
5
Suppose 0 = -3*z + 3*p - p + 35, -2*z + 20 = -3*p. Let x(a) = a - 2. Calculate the remainder when z is divided by x(10).
5
What is the remainder when 14 is divided by (-1 - 18/3)*(-1 + 0)?
0
Let s(n) = -n - 1. Let z be s(-1). Suppose z*q - 3*q + 12 = 0. Suppose 0 = -2*v - 4*f, 7*f = -q*v + 2*f + 6. Calculate the remainder when v is divided by 2.
0
Let f = -64 + 112. What is the remainder when f is divided by 10?
8
Let p = 143 + -131. Let a = -43 - -88. What is the remainder when a is divided by p?
9
Let f be 0 + 0 - 0/5. Let a = 5 + f. Calculate the remainder when a is divided by 4.
1
Suppose -a = 2*h + 2*a - 87, h + a = 44. Suppose -2*n = -r + 24, -4*r + 6*r = 3*n + h. What is the remainder when 52 is divided by r?
16
Let b(o) = o**2 - 3. Let a(s) = s**3 - s**2 - 9*s + 12. Calculate the remainder when a(4) is divided by b(4).
11
Suppose 0 = -4*s - v + 43, -4*s + 31 = -v - 22. Calculate the remain | {
"pile_set_name": "DM Mathematics"
} |
ose -d*f = 13 - j. Let i(o) = -o**3 - 3*o**2 - 2*o + 2. Determine i(f).
8
Let v(u) = -u**2 - 49*u - 7. Let t(o) = 5*o - 1. Let y(p) = -6*t(p) - v(p). Give y(-18).
-5
Suppose 17*h = 22*h - 25. Let k(n) = 5 + 3*n - 5 - 1 + 2. Give k(h).
16
Let x = -21 + 19. Let d be (x - (1 - -1))*-105. Let z be (-4)/26 - d/(-195). Let y(j) = -9*j + 3. Give y(z).
-15
Let m = 18 - 5. Let l(h) = h - 13. Let p be l(m). Let z(o) = -o**2 + 9. What is z(p)?
9
Let i(q) be the third derivative of -q**6/120 - q**5/30 + q**4/8 - q**2. Let m be (4/12)/(5/15). Let v be ((-42)/(-28))/(m/(-2)). Give i(v).
0
Let t(g) = 3*g**2 - 2*g + 1. Suppose -z + 2*z - 4 = 3*p, 5 = -p. Let y = z + 13. Give t(y).
9
Let v(a) = 61*a - 1. Let s(n) = -71*n + 2. Let m(h) = 6*s(h) + 7*v(h). What is m(-8)?
-3
Let d(w) be the third derivative of w**4/24 + w**3/2 - 6*w**2 - 3*w. What is d(0)?
3
Let m(z) = -z**2 - z + 1. Let g(c) = -7*c + 1. Let a(i) = g(i) + m(i). Let t be a(-8). Let y(f) = -4 + 1 - 6*f + f**t + 2*f. What is y(4)?
-3
Let i(n) = n**3 + 8*n**2 - 9*n + 12. Let f(b) = -b**3 + 22*b**2 - 42*b + 43. Let u be f(20). Suppose -u*m = -5*a - 45, 2*a + 8*m - 7*m + 18 = 0. Give i(a).
12
Let o(i) = -i**3 - 4*i**2 + 2*i + 5. Let a(v) = 0*v**2 + 0*v**2 - v + 0*v**2 + v**3 - 5*v**2 + 1. Let r be a(5). Determine o(r).
-3
Let w(a) = a + 2 + 3 - 1. Suppose -3*q - 30 = 4*y, -1 = -y + 4*q + 1. Let g be w(y). Let d(m) = 2*m - 1. Calculate d(g).
-5
Suppose -2*k = 2*k - 8. Suppose -3*n = -2*m + 30, -m + n - k*n + 5 = 0. Let r(b) = b**2 + 3*b**2 + 2*b**3 - m*b**2 - b**3 - 4. What is r(5)?
-4
Let v(m) be the second derivative of -2*m**3/3 + 7*m**2/2 - 3*m. Suppose 4*q - 15 = -3. Suppose f = -3*f + 8, 13 = q*s - f. Determine v(s).
-13
Let s = -18 - -17. Let o = s + 8. Let i(m) = -9*m + 14*m - o*m + 3. Give i(-5).
13
Let y = 72 + -34. Let n(d) = -4 + 39*d + 2 + 4 - y*d - d**2. Determine n(-2).
-4
Let p = -24 + 33. Suppose -p*o = -5 - 22. Let f(v) = -v**2 + 2*v**3 + 2*v**3 - 2 - 3*v**3 - 3*v. Calculate f(o).
7
Suppose -139*i = -124*i. Let b(c) = 2*c**2 + 1. Determine b(i).
1
Let k(t) = 5*t - 14. Suppose -16*z + 28 = -23*z. Let w(m) = -6*m + 15. Let b(c) = z*w(c) - 5*k(c). Determine b(7).
3
Let n be (-1)/(-4) + (-15)/(-20). Suppose -2*x - g + 1 = 2*x, -g + n = -x. Let t(b) = -b**2 + b - 14. Determine t(x).
-14
Let f(o) be the third derivative of o**5/60 - o**4/3 - 13*o**3/6 - 81*o**2. Suppose -2*c + 5*c - 3*p = 39, -3*c = 2*p - 19. Calculate f(c).
-4
Suppose -7*j + 4*j + 48 = 0. Suppose -3*k = -12*k + 90. Let f(q) = j*q**2 + k*q**2 - 1 - 33*q**2. Give f(-1).
-8
Let r be 6/4 - (-63)/126. Let h(f) be the second derivative of 5*f + 3*f**r - 1/12*f**4 - 5/6*f**3 + 0. Give h(-6).
0
Let k(w) = 33*w**2 + 12*w - 140*w**2 + 30*w**2 + 33*w**2 - w**3 + 33*w**2 - 2. Calculate k(-12).
-2
Let m(x) = -x**3 - 4*x**2 - x. Let z = -13 + 12. Let c be m(z). Let k(g) = -4*g. What is k(c)?
8
Let f be 2 - ((-2)/8 - (-4)/16). Let y(z) be the second derivative of -7*z**3/6 + 3*z**2/2 - z. Give y(f).
-11
Suppose 2*g = -30 + 40. Let n(l) = -54 - 53 + 107 - g*l. Calculate n(1).
-5
Let h(i) be the first derivative of 0*i + 0*i**5 + 1/6*i**3 + 7/120*i**6 - 8 - 1/12*i**4 + 1/2*i**2. Let k(d) be the second derivative of h(d). Calculate k(1).
6
Let v(s) be the second derivative of 0 + 6*s - 3/2*s**2 - 1/6*s**4 + 2/3*s**3. Determine v(2).
-3
Let s be (1*(-18)/15)/((-8)/60). Let k(t) = -t + 2. Determine k(s).
-7
Let g(k) = 3*k**2 + 4*k + 23. Let q(f) = -16*f**2 - 17*f - 118. Let b(j) = 11*g(j) + 2*q(j). What is b(-7)?
-4
Let d(t) = 2*t - 1. Let m(y) = -3*y**2 + 7*y - 5. Let f(a) = 4*d(a) - m(a). Determine f(2).
15
Let b(c) be the first derivative of -c**7/840 + c**6/180 - c**5/30 + c**4/8 - 7*c**3/3 + 2. Let n(y) be the third derivative of b(y). Calculate n(2).
-5
Let k(w) = w**3 + 10*w**2 + 11*w + 7. Suppose 4*m - 3*j - 27 = 0, -3*m + 6*m + 2*j - 16 = 0. Suppose 5*b = 10, 0 = 4*a + m*b - 3*b + 30. Calculate k(a).
-11
Let u be 9/(-11) + 60/(-330). Let c(s) be the third derivative of -s**6/120 - s**5/30 - s**4/24 - s**3/6 + 4*s**2. Calculate c(u).
-1
Suppose 35 + 10 = 5*q. Let x be ((-8)/(-10))/(2/10). Suppose -q*p + x*p = -5. Let r(l) = -2*l**3 - 1. Determine r(p).
-3
Let i(x) = x**2 - 3*x - 12. Let w be ((-28)/(-3))/(-7)*(-45)/10. Give i(w).
6
Let j(g) = -g. Suppose -5*z + 5*k - 15 = 15, -5*k = z. Let i = z + 4. Calculate j(i).
1
Suppose -2*d + 3*w + 8 = 3*d, d - 12 = -2*w. Suppose -d*f - 4*f = 0. Let j(v) = -v + 2. What is j(f)?
2
Suppose -4 = n, 0 = 4*o + 8*n - 7*n - 20. Suppose -o*m - 18 = -42. Let b(k) = -k - 1. What is b(m)?
-5
Let k be 4/5*(0 + 10). Let q be 2*3/2 - k. Let h(s) be the second derivative of s**4/12 + 2*s**3/3 + s**2 - 6*s. Determine h(q).
7
Let g(i) = 6*i + 2018 - i**3 - 4034 - 4*i**2 + 2022. Let y = 6 - 11. Calculate g(y).
1
Let l = -236 - -244. Let a(s) = s - 3. Determine a(l).
5
Let l(n) be the second derivative of n**4/12 - n**3 + 11*n**2/2 + 22*n + 3. Determine l(5).
6
Let o = 7 + -5. Let y(u) = u - u**o + u + 1 - 5*u + 4*u. Suppose 5*j = 5*q + 5, 2*j + 3 = -3*q - 0*q. Calculate y(j).
1
Let g(m) = -m + 3. Let x(a) = -3*a + 11. Let p be x(3). Suppose 4*o + 5*r = -2, 3*o = -r + 6 - p. Suppose -6 = -o*z + z. Give g(z).
-3
Let h(t) = 1. Let r(q) = 9 - 1 + 2 - 2*q**2 + 2*q. Let d(s) = 8*h(s) - r(s). Give d(3).
10
Let r(q) be the second derivative of q**8/1120 + q**7/2520 + q**6/720 - q**5/120 - 7*q**4/3 + 22*q. Let p(f) be the third derivative of r(f). Calculate p(1).
7
Let d(n) = -2*n**2 - 1. Let k(u) = 2*u**2 - u + 3. Let b(i) = -2*d(i) - k(i). What is b(1)?
2
Let g = 609 + -606. Let y(o) = o**2 - 8*o + 4. What is y(g)?
-11
Let h(z) = 3*z - 4. Let g be h(3). Suppose g*r = 20 - 5. Suppose 0 = r*b - b, 15 = 5*n - b. Let p(a) = 2*a + 3. Calculate p(n).
9
Let a(j) = 2 + 6*j - j**2 - 2 + 1. Let f(h) = -h**2 - 15*h - 7. Let w be f(-14). Determine a(w).
-6
Suppose 0 = 2*n - f + 4*f - 10, n - 2*f - 12 = 0. Let c be -1 + n - (0 - -1). Let h(v) = v - 6. Determine h(c).
0
Let x(b) = b**2 - 7*b + 5. Let g(c) = -c**2 + 4*c - 3. Let h(o) = 5*g(o) + 3*x(o). Let w be -6*2*-1*(-3)/12. Give h(w).
-15
Let o(m) be the first derivative of 4*m**3/3 + 3*m**2/2 - 3*m - 33. Give o(-3).
24
Let i(g) = -2*g**3 - 4*g**2 - 4. Let u = -151 + 148. Calculate i(u).
14
Let y(s) be the third derivative of -17*s**5/60 - s**4/24 - s**2 + 18*s. Give y(-1).
-16
Let v(s) be the second derivative of s**3/3 - 3*s**2 + 7*s - 4. Let g = -3 - 1. Let i be (g/3 - 0)*-3. What is v(i)?
2
Let q(l) = l**3 + l**2 - l - 1. Let n(w) = -4*w**3 - 8*w**2 + 5*w + 7. Let m(g) = n(g) + 5*q(g). Let j = -5 + 7. Suppose a - j = 1. Calculate m(a).
2
Let l(j) = 2*j**2 + j. Suppose 11*v - 12*v - 2*z + 11 = 0, 4*z = 4*v + 16. Calculate l(v).
3
Let b(f) be the first derivative of 1/3*f**3 - 7/2*f**2 + f + 2. Let j = -7 + 13. Calculate b(j).
-5
Suppose 0 = 3*i + 4*l - 8, 4*i - 6 = i - 3*l. Let v(k) = 3 - 5*k + i + 0. Suppose 3*p - 3 = -42*r + 43*r, -15 = -5*r. Calculate v(p).
-7
Let f(k) = -2*k**2 + 31*k - 19. Let x be f(15). Let b(y) = -y**2 - 6*y + 3. Give b(x).
11
Let i(h) be the third derivative of 1/120*h**6 + 0*h - 5/6*h**3 + 32*h**2 + 1/20*h**5 - 1/6*h**4 + 0. Let j be 1*(-1 + 1) - 4. What is i(j)?
-5
Suppose 0 = 2*a + a + 102. Let u = a - -28. Let n(g) = g**2 + 3*g + 1. Calculate n(u).
19
Let s(h) be the third derivative of h**6/120 + h**5/12 + 7*h**3/6 - 142*h**2. Calculate s(-5).
7
Let h(j) = -4*j**2 + 3*j + 3. Suppose 5*d + 2*o = 5, -8*d + 13*d + 4*o + 5 = 0. Give h(d).
-24
Let m(f) be the second derivative of -f**6/360 - f**5/40 + 25*f**4/12 + 6*f. Let d(g) be the third derivative of m(g). What is d(-2)?
1
Suppose 10 = -15*v + 25*v. Let b(k) = -2*k - 1. Give b(v).
-3
Let t(x) = -16*x**3 + x**2 + 2*x + 1. Let p(v) = 3*v - 4. Let d be p(1). Calculate t(d).
16
Let p(k) be the third derivative of -2*k**5/3 + k**4/24 - 357*k**2. Give p(1).
-39
Let q(n) = 95 - 96 + 3*n - 5*n. Suppose 0 = -4*f + 4*l - 28, 2*l - 2 + 4 = -2*f. Calculate q(f).
7
Let c(u) = 2*u + u + u. Suppose -34*z + 39*z = -70. Let k = z - -11. Give c(k).
-12
Let w be (4 - (-28)/(-6))/((-4)/102). Let f(j) = 13 + 21*j + w*j - 2 - 37*j. Determine f(-9).
2
Let g(c) = c**2 - 6*c - 6. Let x be 3*(-24)/(-9)*222/296. Calculate g(x).
-6
Let q(w) = w**3 + 2*w**2 - 3*w + 1. Let r = -231 + 228. Give q(r).
1
Let f(o) be the first | {
"pile_set_name": "DM Mathematics"
} |
2*o + m - 15. List the prime factors of o.
3
Let r(x) = x**3 - 5*x**2 + x + 4. Let g be r(4). Let o(b) = -b**2 - 7*b - 8. Let f be o(-8). Let w = g - f. List the prime factors of w.
2
Let t = 17 - 31. Suppose 3*s - 58 = 32. Let q = s + t. What are the prime factors of q?
2
Let r(s) = s**2 + 8*s - 9. What are the prime factors of r(-11)?
2, 3
Suppose -6*k - 2 = -7*k. Suppose q + 3*c = -k, 5*q - c - 2*c = 62. List the prime factors of q.
2, 5
Suppose -10*o + 13*o = 6. Let k be (-4)/10 + (-142)/(-5). Suppose -2*j = -2*t - 20, -4*j - o*t + k = 6. List the prime factors of j.
7
What are the prime factors of 15 - ((-9)/3)/1?
2, 3
Let x = -4 + 6. Let s = 3 + x. Suppose -3*u + 3*r = -s*u + 18, -2*r = 0. List the prime factors of u.
3
Let m(p) = -p**2 - 8*p - 4. Let r be m(-7). Suppose 165 = -0*q + r*q. List the prime factors of q.
5, 11
Let l(x) = -x**2 + x + 2. Let k be l(2). Suppose k = -4*a + 16 + 12. List the prime factors of a.
7
Let m(z) = 2*z - 1. Let a(q) = -2*q**2 - 5*q - 2. Let j be a(-3). Let o be (-2)/(-6)*3 - j. What are the prime factors of m(o)?
11
Let o(l) = 15*l**2 + 4*l + 10. List the prime factors of o(-2).
2, 31
Suppose -o + 0*o = 0. Suppose 3*s + o*s = 30. What are the prime factors of s?
2, 5
Let u(s) = s**3 + 9*s**2 + s - 12. Let o = -11 - -2. Let r be u(o). Let c = 36 + r. What are the prime factors of c?
3, 5
Let m = -2 - -5. Suppose 0*n = -n + m. List the prime factors of n.
3
Let q = -24 + 86. List the prime factors of q.
2, 31
Let t(x) = -x**3 - 7*x**2. Let a be t(-7). Suppose a*r = r - 8. List the prime factors of 44/r - (-1)/2.
2, 3
Suppose -5*z + 11 = -24. Suppose -1 = a - 7. Suppose -z*k = -2*k - 2*o - a, k - 2*o = -2. List the prime factors of k.
2
Let t = -82 - -139. List the prime factors of t.
3, 19
Let s(f) = -31*f - 4. Let r be s(4). Let o = r + 188. What are the prime factors of o?
2, 3, 5
Suppose 275 = 3*b + 2*b. List the prime factors of b.
5, 11
Let t = -7 - -12. Suppose -2*i + 2*l + 7 = -27, -l - 73 = -t*i. What are the prime factors of i?
2, 7
Suppose 23 = 5*z - 2*w, -2*z + z = -5*w. Suppose 36 = z*k - 2*k. List the prime factors of k.
2, 3
Suppose 0 = 2*c - 3*c + 3. Suppose b - c*b + 24 = 0. What are the prime factors of b?
2, 3
Suppose 356 = 4*v + 2*f - 4*f, -344 = -4*v + 5*f. Let w = v + -63. List the prime factors of w.
2, 7
Suppose 4*o = 2*o - 38. Let b = o + 34. What are the prime factors of b?
3, 5
Let k(m) = m**2 - 2*m - 4. Let h be 1*-2*1/2. Let u be ((-2)/(-4))/(h/6). What are the prime factors of k(u)?
11
Let a be (3 - 3)/(-2) - -3. Suppose -2*u + q = -91, a*q - q + 6 = 0. List the prime factors of u.
2, 11
Let j(b) = 6*b + 1. Let d(x) = x. Let g(c) = 5*d(c) - j(c). Let q be g(-6). Let m = 13 - q. List the prime factors of m.
2
Suppose 5*m - 15 = j + 3*j, -25 = -5*j. Suppose 2*f = -2*u, 3*u + 5*f = -3 + 5. List the prime factors of u + (m - 2) + 0.
2
Let v(f) = -9*f - 6. Let q = -16 + 9. Let k be v(q). Suppose 2*p = -p + k. List the prime factors of p.
19
Let c(o) = -o**3 - 5*o**2 + 4*o - 2. Let x be c(-5). What are the prime factors of (-4)/x + (-788)/(-22)?
2, 3
Suppose 445 = 3*i - 2*k, 2*k - 730 = -5*i + 3*k. List the prime factors of i.
5, 29
Let k = -19 + 231. What are the prime factors of k?
2, 53
Let a(z) = 10*z + 5. Let r(d) = -29*d - 15. Let k(n) = 17*a(n) + 6*r(n). List the prime factors of k(-11).
3, 13
Suppose -8 = -3*h + f, 5*h + 2*f - 18 = 6*f. Suppose -3*u + a + 51 = 0, 5*u - h*u + 3*a - 51 = 0. Suppose 0 = -0*d - d + u. List the prime factors of d.
17
What are the prime factors of (17/(-2))/(14/(-84))?
3, 17
What are the prime factors of (-3)/18 + 2534/12?
211
Suppose 8*r - 78 = -5*r. What are the prime factors of r?
2, 3
Let s = 240 - 357. What are the prime factors of s/(-4) + 7/(-28)?
29
Let m(x) = -2*x**2 + 2*x + 1. Let s be m(-2). Let z(o) = -o**2 - 11*o + 15. What are the prime factors of z(s)?
3, 5
Suppose o - 8 = -2*j + 2*o, 3*o - 16 = -4*j. Suppose 3*c - j*c = -7. List the prime factors of c.
7
Let d(r) = -r + 4. Let p be d(6). What are the prime factors of (-219)/(-15) + p/(-5)?
3, 5
Let s be (-2)/8 - 3/(-12). Let k = 4 - 1. What are the prime factors of (2 + s)/(1/k)?
2, 3
List the prime factors of 24*(2 + (-185)/(-15)).
2, 43
Let z(j) = -4 + j + 5*j**2 - j**3 - 5*j + 5*j + 0. Let k be z(4). Let r = -9 + k. List the prime factors of r.
7
Suppose -b + 5*b - 168 = 0. List the prime factors of b.
2, 3, 7
Let h = 89 + -57. Let x = h - 17. List the prime factors of x.
3, 5
Let j be 5*((-324)/(-15))/3. List the prime factors of 8/(-6)*j/(-8).
2, 3
Suppose -105 = -3*j + 2*z + 93, -2*j + 127 = -3*z. List the prime factors of j.
2, 17
Let q = -10 - -12. What are the prime factors of q?
2
Let k = -260 + 388. List the prime factors of k.
2
Let x = -34 + 47. What are the prime factors of x?
13
Suppose -4*v = 12 - 44. What are the prime factors of v?
2
Let w be (-3 + 1 - -12)/1. Suppose 0*z - 5*z = -w. What are the prime factors of z?
2
Let f(w) = 3*w**3 - 14*w**2 + 2*w - 4. List the prime factors of f(7).
353
Let u = -24 + 24. Suppose -3*j + 5*x + 18 = -2*j, 4*x - 12 = u. What are the prime factors of j?
3, 11
Suppose 3*g = -1 - 5, 3*j - 26 = g. Suppose 4 = 3*y - 2. Suppose -y*b = -b - j. List the prime factors of b.
2
Suppose 2*w - 427 = -117. List the prime factors of w.
5, 31
Let n = 5 - 7. List the prime factors of n/(-7) + (-82)/(-7).
2, 3
Suppose 2*h + 14 = 258. List the prime factors of h.
2, 61
Let t(p) = 2*p - 2. Let m = -3 - -6. Let d be t(m). List the prime factors of 166/18 + d/(-18).
3
What are the prime factors of 2 + -1 + (-80)/(-2)?
41
Suppose 5*i - 19 = -3*o, 0*i - 18 = -3*i - 4*o. What are the prime factors of 4/(-5)*(-85)/i?
2, 17
Suppose 5*g = -15 + 85. List the prime factors of g.
2, 7
Let b(u) = -6*u**2 - 2*u**3 - 2*u + 1 + 6 + 3*u**3. Let v be b(6). List the prime factors of ((-5)/(-2))/v*-10.
5
Suppose 878 = 12*i - 1126. What are the prime factors of i?
167
Suppose -4*p + d + 279 = -302, -579 = -4*p - d. What are the prime factors of p?
5, 29
Let w be 5 + (2 + -6 - -2). Suppose 3*q = -2*f - 0*f + 5, 4*f - w*q - 19 = 0. Suppose f*s + c = 35 + 33, 3*c + 20 = 2*s. List the prime factors of s.
2
Suppose 0 = -3*m + 278 - 47. What are the prime factors of m?
7, 11
Let o(l) = -7*l**2 - 8*l - 9. Let u(w) = -13*w**2 - 16*w - 17. Let b(j) = 11*o(j) - 6*u(j). Let t = 2 - 10. List the prime factors of b(t).
3
What are the prime factors of -2*(6 + -3)*-2?
2, 3
Let d(k) = -k**2 + 13*k - 21. What are the prime factors of d(10)?
3
Suppose 0 = 3*m + 128 + 7. Let c = m - -77. List the prime factors of 5/15 - c/(-3).
11
What are the prime factors of (-4)/(-26) - (-72)/39?
2
List the prime factors of (3 - 2) + -3 + 41.
3, 13
Suppose 5*n + 34 = 4*t, 0 = 4*n + 5 + 3. Suppose -t*w + 0*w = -108. What are the prime factors of w?
2, 3
Let m be (1 - (3 - 2))*1. Suppose -2*f + 4*w + 6 = -m*f, 2*w = 0. What are the prime factors of f?
3
Suppose -6*h - 8 = -98. What are the prime factors of h?
3, 5
Let b(z) = 5*z**2 + z - 9. List the prime factors of b(4).
3, 5
Let a(d) = d**2 + 3*d + 0 - 2 + 14 + 6*d. What are the prime factors of a(-10)?
2, 11
Suppose -63 = -2*x - 41. What are the prime factors of x?
11
Let r = -36 + 54. Let v = 6 - r. Let h = 5 - v. What are the prime factors of h?
17
Suppose 4*o + 2*j - 390 = 0, o - 3*j - 395 = -3*o. List the prime factors of o.
2, 7
Suppose 0 = -4*j + 36 - 12. Let l(x) = -x**3 - 6*x**2 - 4*x + 8. Let i be l(-5). Suppose 9 = i*z - j. List the prime factors of z.
5
Let y(h) = h**2 + 3*h + 5. Let l be y(-4). Let c = l + -3. List the prime factors of c.
2, 3
List the prime factors of (-165)/(-4)*(-2)/(-12)*16.
2, 5, 11
Suppose 7*j + d = 2*j + 282, 0 = -2*j - d + 114. Suppose 3*l - j = 34. What are the prime factors of l?
2, 3, 5
Let l = 13 + -8. List the prime factors of l.
5
Let h(d) = d + 2. Let l be h(-8). What are the prime factors of 8/(-2)*33/l?
2, 11
List the prime factors of -1 - 898/(-2) - (-20 + 24).
2, 3, 37
Let m = 11 - 28. Let n be 0 + (2/(-1) - 8). Let q = n - m. What are the prime factors of q?
7
Suppose 2*n + 19 = i - n, 3*i - 15 = -5*n. Let t be (-46)/i + (-12)/(-20). Let d = 6 + t. What are the prime factors of d?
2
Let v(p) be the first derivative of -p**2/2 + 3*p - 9. Suppose -4*a = -x + 26, -2*a + 0*x = -2*x + 16. What are the | {
"pile_set_name": "DM Mathematics"
} |
9/25 of a microgram?
360
Convert 0.3934383 days to hours.
9.4425192
What is 15/4 of a litre in millilitres?
3750
How many grams are there in 3/50 of a kilogram?
60
Convert 823818.9 centuries to millennia.
82381.89
How many minutes are there in 6/5 of a week?
12096
What is 3/16 of a kilometer in centimeters?
18750
How many nanoseconds are there in 87/5 of a microsecond?
17400
How many meters are there in 1/10 of a kilometer?
100
What is nine tenths of a microsecond in nanoseconds?
900
How many kilometers are there in 3156.414 nanometers?
0.000000003156414
How many meters are there in twenty-nine fifths of a kilometer?
5800
What is 25/4 of a litre in millilitres?
6250
What is 11.65675 millilitres in litres?
0.01165675
How many meters are there in 13.08304 micrometers?
0.00001308304
How many millennia are there in 75.21581 years?
0.07521581
How many millilitres are there in seven halves of a litre?
3500
Convert 8.234139 nanometers to millimeters.
0.000008234139
How many millennia are there in 7965.995 centuries?
796.5995
Convert 267.1712 meters to centimeters.
26717.12
How many grams are there in 93.69634t?
93696340
What is ten thirds of a year in months?
40
What is twenty-five eighths of a decade in months?
375
What is 3/5 of a millimeter in micrometers?
600
How many centuries are there in 30.908 millennia?
309.08
How many meters are there in thirteen quarters of a kilometer?
3250
How many years are there in 6/25 of a century?
24
How many millimeters are there in 8.640934km?
8640934
What is one fifth of a millennium in years?
200
What is 26/5 of a millimeter in micrometers?
5200
How many centimeters are there in 3/25 of a meter?
12
Convert 35255.2 millilitres to litres.
35.2552
How many millilitres are there in 21/4 of a litre?
5250
What is 67/4 of a meter in centimeters?
1675
How many millilitres are there in three eighths of a litre?
375
What is 1/4 of a microsecond in nanoseconds?
250
What is 5/4 of a litre in millilitres?
1250
What is fourty-five eighths of a millimeter in micrometers?
5625
Convert 437.0906 decades to months.
52450.872
What is 1/20 of a tonne in grams?
50000
How many decades are there in 52/5 of a century?
104
Convert 94.03991m to centimeters.
9403.991
Convert 7.345513ug to grams.
0.000007345513
How many millilitres are there in 98092.31l?
98092310
How many milligrams are there in 1/16 of a kilogram?
62500
What is eleven halves of a hour in minutes?
330
How many centimeters are there in 15/4 of a meter?
375
What is 97/2 of a kilometer in meters?
48500
What is one twentieth of a milligram in nanograms?
50000
What is two ninths of a hour in seconds?
800
How many weeks are there in 1039183.236 milliseconds?
0.00171822625
How many decades are there in twenty-one fifths of a millennium?
420
How many years are there in 7/2 of a century?
350
What is 8242.48mm in centimeters?
824.248
Convert 9515.331 nanometers to meters.
0.000009515331
Convert 809281.7 nanograms to kilograms.
0.0000008092817
What is 1/45 of a day in minutes?
32
Convert 99076.4 centuries to years.
9907640
How many millilitres are there in seven eighths of a litre?
875
Convert 0.5703465cm to nanometers.
5703465
Convert 71.13302 centuries to years.
7113.302
What is 43/4 of a kilogram in grams?
10750
What is 15904.13 millilitres in litres?
15.90413
How many kilograms are there in 1/5 of a tonne?
200
What is seven sixths of a millennium in months?
14000
How many nanograms are there in 27333.97ug?
27333970
What is 459.9602um in kilometers?
0.0000004599602
What is fifty-two fifths of a litre in millilitres?
10400
What is seven halves of a litre in millilitres?
3500
What is 7/2 of a litre in millilitres?
3500
What is 1/5 of a litre in millilitres?
200
What is nineteen quarters of a litre in millilitres?
4750
What is 56294.31kg in tonnes?
56.29431
Convert 85467.06s to microseconds.
85467060000
What is 15/4 of a litre in millilitres?
3750
How many nanograms are there in 0.7483197g?
748319700
How many micrometers are there in 7/16 of a centimeter?
4375
How many seconds are there in 8.054485 hours?
28996.146
Convert 231.6684 hours to milliseconds.
834006240
What is 1205.776mm in meters?
1.205776
How many decades are there in 21.760197 months?
0.181334975
What is 0.4761495mm in micrometers?
476.1495
What is 954258.5 litres in millilitres?
954258500
What is 1040.709 litres in millilitres?
1040709
What is 3/10 of a tonne in kilograms?
300
How many grams are there in twenty-three eighths of a kilogram?
2875
Convert 275.6201ml to litres.
0.2756201
How many milliseconds are there in 20181.52 minutes?
1210891200
How many nanograms are there in 18/5 of a microgram?
3600
How many decades are there in twenty-seven halves of a millennium?
1350
What is 5462.673l in millilitres?
5462673
What is 68.60438 decades in years?
686.0438
What is 3652.307mm in kilometers?
0.003652307
What is 43.90067 nanometers in millimeters?
0.00004390067
What is 3/10 of a meter in millimeters?
300
What is 3.393387 days in seconds?
293188.6368
How many hours are there in 71296.02us?
0.00001980445
How many millilitres are there in 8.420747l?
8420.747
What is one quarter of a millimeter in micrometers?
250
How many seconds are there in 1/60 of a day?
1440
What is 2.246565 years in millennia?
0.002246565
What is 9.307621 hours in seconds?
33507.4356
How many nanometers are there in 12/25 of a micrometer?
480
What is 8202.66993s in weeks?
0.013562615625
What is 5/8 of a second in milliseconds?
625
How many days are there in 10/7 of a week?
10
What is 806058.9 centuries in millennia?
80605.89
What is 11/2 of a tonne in kilograms?
5500
How many nanometers are there in 169.1289mm?
169128900
What is three tenths of a microgram in nanograms?
300
Convert 0.5774878 weeks to nanoseconds.
349264621440000
Convert 99.14213l to millilitres.
99142.13
How many grams are there in 431.2853 micrograms?
0.0004312853
How many years are there in 16.79859 centuries?
1679.859
How many seconds are there in 3/28 of a week?
64800
Convert 580387.7g to tonnes.
0.5803877
What is 9.886423 weeks in seconds?
5979308.6304
How many micrograms are there in 96314.21 milligrams?
96314210
What is 3292.299 millennia in decades?
329229.9
What is 981.383m in centimeters?
98138.3
What is 17/4 of a litre in millilitres?
4250
How many millilitres are there in 3/8 of a litre?
375
What is five eighths of a litre in millilitres?
625
What is 29083.09 milligrams in nanograms?
29083090000
What is 5/6 of a hour in seconds?
3000
What is 59/5 of a litre in millilitres?
11800
What is 32/5 of a micrometer in nanometers?
6400
Convert 973535.2l to millilitres.
973535200
How many millilitres are there in 68233.18 litres?
68233180
What is twenty-seven fifths of a kilogram in grams?
5400
How many micrograms are there in three tenths of a milligram?
300
Convert 5.327151 minutes to hours.
0.08878585
Convert 2.253148 years to decades.
0.2253148
How many millilitres are there in 378136.2 litres?
378136200
What is 377486.6 kilograms in tonnes?
377.4866
How many months are there in 9.428966 decades?
1131.47592
How many seconds are there in eight fifteenths of a day?
46080
What is 820.3142m in micrometers?
820314200
How many kilograms are there in 7/2 of a tonne?
3500
What is seventy-three quarters of a microgram in nanograms?
18250
What is 3/25 of a kilogram in grams?
120
How many grams are there in sixty-three eighths of a kilogram?
7875
How many millilitres are there in 51/2 of a litre?
25500
Convert 512.014 meters to centimeters.
51201.4
What is sixteen ninths of a hour in seconds?
6400
What is 2.3580762 months in millennia?
0.00019650635
What is five eighths of a minute in milliseconds?
37500
How many meters are there in seventy-four fifths of a kilometer?
14800
How many grams are there in 1/5 of a kilogram?
200
What is 22/15 of a hour in minutes?
88
How many milliseconds are there in 0.660084 hours?
2376302.4
What is 0.923909l in millilitres?
923.909
Convert 143966.3 minutes to seconds.
8637978
How many milliseconds are there in 53.10024 days?
4587860736
How many nanograms are there in seventy-two fifths of a microgram?
14400
Convert 964.6417mm to micrometers.
964641.7
What is 3.84538 millilitres in litres?
0.00384538
How many nanograms are there in one fifth of a microg | {
"pile_set_name": "DM Mathematics"
} |
-u - 4*v + 2 - 5 for u.
1
Solve -3*b + 4 = 2*n, n = -2*b - n + 2 for b.
2
Solve d = 5*o + 12, 2*d + 2*o - 6*o = 12 for d.
2
Solve 43 = 5*g + 3*w, 5*g + 8*w - 12*w - 1 = 0 for g.
5
Solve -5*w - 4*h - 20 = -10*w, w + h + 5 = 0 for w.
0
Solve 2*g + 6 = 0, -6*g = 4*i - 7*g + 5 for i.
-2
Solve 2*c + 20 = -5*r - 10, 2*r + 28 = -4*c for c.
-5
Solve 2 = -5*s - 3*k, -k + 7 = 5*s + 1 for s.
2
Solve -12*w + 9*w + 2*z + 7 = 0, -3*w = -4*z + 1 for w.
5
Solve -8*d = 5*u - 11*d - 10, 0 = 2*u - 3*d - 13 for u.
-1
Solve -84*v + 89*v + 10 = b, 0 = b + 3*v - 2 for b.
5
Solve -5*f = -15, 3*h = 5*h + 5*f - 25 for h.
5
Solve -2*k - 3*p - 5 = -3*k, -3*p + 5 = k for k.
5
Solve y = -3*t, -2*t - 3*y + 28 = 42 for t.
2
Solve 3*m - 73*y = -75*y, -5*y - 9 = 3*m for m.
2
Solve -2*t + 4*u = -10, -42*t - 3 = -44*t - 3*u for t.
3
Solve 3*w = 3*q - 15, -2*w - 6*q + 4*q = -10 for w.
0
Solve -5*r - 12 = -2*o, 6*o - o + r + 24 = 0 for o.
-4
Solve -k - 3*t = 9, 2*t = -2*k + 3*k - 16 for k.
6
Solve -138*j = -142*j + 4*x - 12, -2*j = 2*x + 6 for j.
-3
Solve 5*v = 5*i + 52 - 17, 0 = -2*i - 6 for v.
4
Solve -7*p = -3*p + 5*x, 0 = -p + 2*x for p.
0
Solve 24 = -4*d + 4*j, 0 = -d - 3*j + 1 + 9 for d.
-2
Solve -7*x + 9*x = 0, 0*j + 5*x = 3*j for j.
0
Solve 0 = 2*h - u - 8 + 11, 6 = -h + 5*u for h.
-1
Solve -23 = -v + 5*s, 28*v - 2*s - 16 = 31*v for v.
-2
Solve 5*i + 3 = -2*k + 7, 5*k + 15 = 0 for i.
2
Solve -10*t = 4*f - 7*t - 26, 0 = -f - 3*t + 20 for f.
2
Solve 39 = -3*r + 5*b + 48, 0 = 3*r + b + 9 for r.
-2
Solve 4*k + 4*d - 40 = 0, -k + 5*k - 25 = -d for k.
5
Solve 2*i = -0*i + 2*b + 2, 5*i = b + 17 for i.
4
Solve -2*g + q = -9, -2*g + 43*q + 6 = 39*q for g.
5
Solve t + 4*h = -15, -3*t = 2*h - 8 + 3 for t.
5
Solve -3*r - 35 = -4*g, 55 - 5 = -5*r + 5*g for r.
-5
Solve 4*n - 5*p = -10, -20*n + 15*n = -2*p + 4 for n.
0
Solve 3*n = -4*d + 5, 9*d - 49 = -4 for n.
-5
Solve 8 = -2*q + 2, -6 = 3*b + 5*q for b.
3
Solve -4*i = -4*c - 32, 8*c = 5*c + 2*i - 21 for c.
-5
Solve -4*f - 3*k = -11, 71*f + 30 = 66*f + 5*k for f.
-1
Solve 5*s + 16 = -2*o, 3*o + 16 = -2*s - o for s.
-2
Solve 5*n + k - 25 + 10 = 0, 0 = -2*k + 10 for n.
2
Solve -x - 14 = -5*u, 9 = 207*u - 204*u for x.
1
Solve -17 = -5*g - h - 2, -5*g + h + 15 = 0 for g.
3
Solve 8 = -2*d - 5*s, -s - 115 = 3*d - 103 for d.
-4
Solve 4*p = -3*k - 32 + 5, 4*k = -2*p - 26 for k.
-5
Solve 0 = h - 8, 8*m + 4*h = 5*m + 26 for m.
-2
Solve q - 2*v = -5 + 2, 2*q + 3*v = 22 for q.
5
Solve -5*o + 0 = 3*w + 2, -2*o + 3*w - 5 = 0 for o.
-1
Solve -24 = o - 5*o + 4*f, 3*o + 4*f - 4 = 0 for o.
4
Solve 3*i + 2*i = 3*c + 9, -3*c + 6 = 0 for i.
3
Solve k + l + 3 = 0, -3*l - 458 = -5*k - 449 for k.
0
Solve j - 5*m = -4*j, -2*j = m for j.
0
Solve -2 = 2*j - 2*c - 8, 3*j - 5*c - 13 = 0 for j.
1
Solve 4 = -5*v - s, 6 + 14 = v - 5*s for v.
0
Solve -17 = -2*l + 3*f, -f = 5*l - 21 + 4 for l.
4
Solve -i = 4*i + 2*o, -3*o = -3*i + 21 for i.
2
Solve 0 = 4*l + 2*j + 14, -10*j - 26 = l - 5*j for l.
-1
Solve 1 = -4*p - 15, 0 = -2*n + 4*p + 10 for n.
-3
Solve 3*b = 4*r - 12, -2*r + 8 = 2 for b.
0
Solve -5*s = -25, 10 + 5 = 5*z + 5*s for z.
-2
Solve -14 = -2*k - 2*l, 1 = -k - 4*l + 11 for k.
6
Solve -4*t + 3*c + 17 = 0, -14*t + 2*c + 12 = -11*t for t.
2
Solve -61*k + 5*m = -65*k + 11, 4*m - 17 = 5*k for k.
-1
Solve -3*q - 11 = -2*j, -2*q + q = 4*j + 13 for q.
-5
Solve -23*w = -22*w - 4*g, w - 5*g = -1 for w.
4
Solve t - 11 = -4*f, -4*t + 9*t = -2*f + 1 for f.
3
Solve 3*s - 4*b = -26 + 1, -3*s - 3*b = -3 for s.
-3
Solve -4 = -2*c - y + 5, 3*c + y - 13 = 0 for c.
4
Solve -4*p + 5*y + 3 = 0, -10*y + 15*y - 13 = -4*p for p.
2
Solve -5*t + 3*t - l - 6 = 0, l = -3*t - 7 for t.
-1
Solve -2*b + 5*n = 5, -1 = 4*b - 3*b - 2*n for b.
5
Solve -4*v = y + 2*y, 0 = -5*v - 4*y for v.
0
Solve -z = -4*a - 5, 4*z - 2*z - 7 = 5*a for z.
1
Solve -4*k = -4*c + 16, -5*k + 21 = -c + 41 for k.
-4
Solve 1 = -5*f - g, -3*g = -4 + 7 for f.
0
Solve -5*a - 152 = -4*z - 153, 2*z - a = -5 for z.
-4
Solve 2*l - 97*v = -92*v - 18, -11 = -3*l - 2*v for l.
1
Solve -4*i + 11 = -3*s, -7*i - 3 = -11*i - 5*s for i.
2
Solve 4 = 2*u + z - 1, -3*z - 5 = 2*u for u.
5
Solve -2*y - 4 = -2, 3*y = -p - 3 for p.
0
Solve v = 4*p + 4, -2*v + 2*p - 4 = -0*p for v.
-4
Solve -g + 2*u - 21 = -23, 25 = -4*g - 3*u for g.
-4
Solve -2*m - 3*v = 2*v + 19, 4*v + 23 = m for m.
3
Solve -2*i - 4*o = -4*i + 2, -2*o - 4 = -4*i for i.
1
Solve -22 = -4*o + u, 154*o + 5*u = 157*o - 25 for o.
5
Solve 5*h = 5*t + 15, -5*t + 0*t + 5 = 5*h for t.
-1
Solve 3*f = -f - 4, 4*f + 9 = -5*k for k.
-1
Solve 5*f + 14 = 3*x + f, 2*x - 3*f - 11 = 0 for x.
-2
Solve l - 4*s - 17 = -0*s, 2*s + 9 = l for l.
1
Solve -3*u + 5*z = -14 + 9, -2*u + 3*z + 3 = 0 for u.
0
Solve 5*q = -4*g, -21*q = -16*q + 3*g - 5 for q.
4
Solve -4*a + 5*r + 5 = 0, 0 = 3*a + 3*r + r - 27 for a.
5
Solve -24*c + 26*c + 5*j = -15, -2*c = j + 11 for c.
-5
Solve -3*v = 12, 2*v = 5*j + 18 - 51 for j.
5
Solve 22*g + 4*x - 19 = 25*g, 8 = 2*x for g.
-1
Solve -3*k = -4*u - 12, 3*k + 2*u = -2*u - 12 for k.
0
Solve 5*y + 5*u - 2*u - 18 = 0, y = 5*u - 2 for y.
3
Solve -28 = 5*s - 2*j, 3*s + 8 = -0*j - j for s.
-4
Solve 5*l = -3*o + 2, 17*l = -5*o + 15*l + 16 for o.
4
Solve 49*f = 41*f - l - 33, 0 = 5*f - 3*l + 17 for f.
-4
Solve 2*l + 2*s + 4 = 2, 5*l - 4*s = -14 for l.
-2
Solve -q = -2, 0*n - 2 = -4*n + q for n.
1
Solve -4*v + 2*z + 1 = -7, -16 = -v + 4*z for v.
0
Solve -5*o - 3*d = 16, 8*o + 3*d + 14 = 4*o for o.
-2
Solve -4*d = -2*g - 11 - 7, 5*g = 4*d - 27 for d.
3
Solve 5*d - 6 = -2*i, 0*d + 3*i = d + 9 for d.
0
Solve 0 = -2*a + 2*y - 8, -2*a - 4 = -a + 4*y for a.
-4
Solve 0 = -n + 13 - 10, -2*q - 5*n + 15 = 0 for q.
0
Solve -j - 2*v + 3 = 0, -6*j = -5*j + v + 1 for j.
-5
Solve -12*d + 9*d - r + 2 = 0, -2*r = d - 4 for d.
0
Solve -3*k - 21 = 3*a, -4 = 3*k - a - 7 for k.
-1
Solve 20 - 7 = 5*a - 2*y, 25 = 5*a - 5*y for a.
1
Solve 4 = m + 5*k - 4*k, m - 2*k + 8 = 0 for m.
0
Solve -4*y - 19 = -3*k, -3*y + 5*k - 12 = 5 for y.
-4
Solve -x - 2*g + 7 = 3, 2*x + 5*g - 9 = 0 for x.
2
Solve 5*s - 2*i - 11 - 11 = 0, -3*s + 17 = -5*i for s.
4
Solve 3*h = 2*s - 4 - 5, 2*s - 12 = 4*h for h.
-3
Solve -2*z + 7 = -3*s, 9*s = 11*s + 5*z + 11 for s.
-3
Solve 2*t - 10 - 2 = 4*c, c + 3*t + 10 = 0 for c.
-4
Solve 8*z - 3*z + 3*r - 18 = 0, -5*z + 2*r + 13 = 0 for z.
3
Solve -6*g = -10*g + 3*b + 19, -4*b = 3*g - 8 for g.
4
Solve 2*f + 25*b = 20*b - 28, -28 = 5*f + 2*b for f.
-4
Solve -37*c + 35*c = -2*x + 4, -28 = -5*x - c for x.
5
Solve -35*u + 5 = -30*u, -4*u = k - 12 for k.
8
Solve 8*h - d - 9 = 13*h, h - 3*d = -5 for h.
-2
Solve c = -3*c + 5*u - 3, 0 = 4*c - 4*u for c.
3
Solve -4*b + 2 = -n, 0 = 2*b + 5*n - n + 8 for b.
0
Solve -34 = -5*z + 3*n, 2*z + 2 = -3*n - n for z.
5
Solve -4*g + 12 = 0, 2*g = 4*h + 3 + 23 for h.
-5
Solve 5*s + 5*p = 0, 3*s = 4*p - 14 - 21 for s.
-5
Solve 2*a + 16 = 5*f - 0, 0 = -5*f - 3*a + 26 for f.
4
Solve 14 = w - 2*f - 2*f, 0 = -2*w - 5*f - 24 for w.
-2
Solve -s + h + 2 = -1, 0 = 5*h + 5 for s.
2
Solve -5*v = 2*q - 16, -3*q - 6*v = -2*v - 10 for q.
-2
Solve -13*s + 16*s - 3 = 0, f + 18*s = 23 for f.
5
Solve 4*g = s + 25, -5*g + 22 + 3 = 0 for s.
-5
Solve 4*m + 2 = 2*t, -5*t - 1 = -6*t for m.
0
Solve 4*d + q + 3 = 0, 4*d + 11 = 4*q + 23 for d.
0
Solve 8 = -5*v + 3*t, 12 = -2*v - 2*t - 4 for v.
-4
Solve -u - j - 9 = 0, 0*u - j - 14 = 2*u for u.
-5
Solve -18 = -3*f + 3*n, -f - 10 + 26 = -3*n for f.
1
Solve -4*f = -4*s + 12, -4*f + 22*s + 3 = 21*s for f.
2
Solve 10*j = 9*j - 3*w - 13, 4*j = 3*w + 23 for j.
2
Solve -19 = s + 5*r, 5*s + 32 = -3*r - r for s.
-4
Solve 2*k = -2*y - 8, 5*y = 9 - 24 for k.
-1
Solve -h - 2*h + 14 = 5*n, 0 = 3*n + 3*h - 12 for n.
1
Solve -187*m = 3*d - 190*m + 9, 4*d - 3*m + 6 = 0 for d.
3
Solve 2*q - 15*x = -13*x + 10, 0 = 4*q - 2*x - 16 for q.
3
Solve -t - 16 = -3*j, 3*j + 24 = -2*t + 7*j for t.
-4
Solve -195*q - 3*n + 8 = -196*q, q = n - 6 for q.
-5
Solve s + 5*x - 28 = 0, 5*s + 5 = -0*s + 4*x for s.
3
Solve 10*b + 3*n = 5*b + 11, -3*b - 2*n = -6 for b.
4
Solve 3*z - 2 = q, 3*q = 2*z + 3 - 2 for q.
1
Solve -4*i = 7 + 1, -3*n + 5*i = 5 for n.
-5
Solve 0 = -2*s + 4*u - 0 - 18, 22 = -3*s + u for s.
-7
Solve -7*z = 5*h + 11, -37*h + 35*h + 4 = 0 for z.
-3
Solve -3*y - 20 = j - 6*j, -2*y + 2*j - 8 = 0 for y.
0
Solve 9 = 5*t - 5*l + 39, -2*t = 5*l - 2 for t.
-4
Sol | {
"pile_set_name": "DM Mathematics"
} |
itive.
t**(-218)
Simplify (((c**2/(c**4*c))**(-11))**(37/2))**(-1/51) assuming c is positive.
c**(-407/34)
Simplify (((q**2)**(2/79)*(q/(q*q*q/q**(-4/7)))**47)**46)**(2/17) assuming q is positive.
q**(-6146152/9401)
Simplify ((z/(z*z**(-2/7)))**(-24)/(z/z**3*z**4))/(((z**(-5/4)/z)/z)/(z*z/(z*((z*z/(z*z**(-4)))/z)/z)))**(-33) assuming z is positive.
z**(-1403/28)
Simplify (l/((l**(-5/2)*l)/l)*l*l)**33*((l**(-16/5)/l)/l)/l**4 assuming l is positive.
l**(1723/10)
Simplify (((l*l/l**0)/l)**(-2/87)/(l**(4/5)/(l**1*l)))/(l**(-6)/l*l**(3/5)*l/l**(-1)*l**(2/7)*l) assuming l is positive.
l**(13067/3045)
Simplify ((x**(-1/10)*x)**(-12)*((x/x**(-41)*x)/x)**43)**(2/9) assuming x is positive.
x**(5984/15)
Simplify ((t/(t*t**(-2/21)*t*t))/t)/(t**(-4/3)*t)*(t**0*t)/t*(t/(t**(3/7)*t))/t*(t**(-1/2))**(-2/11)*t**(-6)*t/((t**7/t)/t) assuming t is positive.
t**(-153/11)
Simplify ((p**(-2/9))**16)**(-15)*((p/(p*((p*p**1/p)/p)/p))**(-39))**2 assuming p is positive.
p**(-74/3)
Simplify ((d/(d*d**12)*d/(d*d**(-2/11))*((d/(((d/(d**1*d)*d)/d)/d))/d)**50)**(3/11))**(2/55) assuming d is positive.
d**(1164/1331)
Simplify (c**(1/4))**(4/31)/((c/(c*c*c*(c/(c/c**(-37)))/c*c))/c**29) assuming c is positive.
c**(-185/31)
Simplify ((h/(h/h**(1/9)))/h*(h*h**12)/h)**(-13)*h**3/h**(2/15)*h*(h/h**(-4/11))/h*h*h**3 assuming h is positive.
h**(-67426/495)
Simplify (((d*d*d/d**(2/5))**(2/163)/(d**(-1/4)/d)**(-30))**28)**(-24) assuming d is positive.
d**(20520528/815)
Simplify ((((x**(-4)/x)/x)/(x/(x**(-16/5)/x)))/((x/(x/(x**(-8)*x)*x))/(x/(x/x**(-7/5)))))**(2/9) assuming x is positive.
x**(-46/45)
Simplify (m**(2/7)/m**(-1/5))**(-50)*((m**(-2)*m*m)/(m**(-2/5)/m*m*m))/((m**4*m)/(m/(m*m*m**4))) assuming m is positive.
m**(-1221/35)
Simplify (a**(-26)/a)**(-34)*(a**3)**(-30) assuming a is positive.
a**828
Simplify c*c*c/(c**(-22)*c)*c**(-9)*c/c**(-16)*c*c*c**(-15/11) assuming c is positive.
c**(359/11)
Simplify ((n**1/((n*n**(2/23))/n))/(n**(-1))**(-22))/((n*n**(2/13)*n*n)/n**(-7/3))**(1/2) assuming n is positive.
n**(-21376/897)
Simplify (p**(-1))**50*p**1/(p/p**0)*(p**(-1/4))**(2/29)*((p/p**3)/p)/p**2 assuming p is positive.
p**(-3191/58)
Simplify (((r/r**(3/10))/(r*r/r**(-4)))/((r*r**(-1))/r)**(-1/20))/((((r**0/r)/r)/r)/r**(-1/3))**(-40) assuming r is positive.
r**(-6721/60)
Simplify (((m**(-1))**(-23)/(m*m**(-1/3))**(-2/43))**(-15/2))**2 assuming m is positive.
m**(-14855/43)
Simplify ((a*a/a**(-19))/(a**(3/4)*a)*a**(-14)*a*a**(-5/2)/a)**(-23) assuming a is positive.
a**(-253/4)
Simplify (((r*r*r**(1/3))/(r*r**3)*r*r**(-1/3)*r**(-2))**(-20))**(4/23) assuming r is positive.
r**(240/23)
Simplify j/((j/j**(-45))/j*j)*j*j*j/(j*j**(-2/9))*j**(4/5)*j/j**(-3/14) assuming j is positive.
j**(-25681/630)
Simplify ((y**(-1))**(-42))**37/(y/(y**(-2)*y)*y*y/((y/y**(4/9)*y)/y))**(7/8) assuming y is positive.
y**(111671/72)
Simplify ((l**(1/12))**(14/3)*((l/l**(-2))/l)**0)**33 assuming l is positive.
l**(77/6)
Simplify ((r**3)**41*r**19/r**18)**(-2/13) assuming r is positive.
r**(-248/13)
Simplify (((y**3*y)/(y*(y*y/((y**(-2)*y)/y))/y))/(y**(-1)/y)**(6/17))/((y**(-1)/y)**36)**(-12/5) assuming y is positive.
y**(-14628/85)
Simplify ((g*g**(1/10)/g*g**4*g**(-1)/g*g**(-8))**33)**(6/17) assuming g is positive.
g**(-5841/85)
Simplify ((p**(-3/16)*p*p/p**(-11))/(((p**15*p)/p)/p**(-7/2)))**(4/11) assuming p is positive.
p**(-91/44)
Simplify ((n/n**(-13/4))/(n**28/n))/(n*n/n**(-40))**(-47) assuming n is positive.
n**(7805/4)
Simplify ((n**13/(n*n/(n**(-2)/n)*n))/(n*n/(n*n/n**(-7/5))*n*n**(-2/11)))**(-2/31) assuming n is positive.
n**(-834/1705)
Simplify (s/(s/(s**(-2/11)/s))*s**(1/8))**(2/23)*(s/(s*s*(s**0/s)/s*s*s))**(10/3)*s**(-7)*s*s*(s*s**(2/31)/s*s)/s assuming s is positive.
s**(-786877/94116)
Simplify ((z**(1/2)/z)**(-30)/(z**(-8/9)/z)**38)**(-2) assuming z is positive.
z**(-1562/9)
Simplify (m**(-7)/(m**5/m)*m/(m*(m/m**7)/m)*m*m*m**(-5))/((m**0)**(-44)*m**(3/7)*(m/m**4)/m*m) assuming m is positive.
m**(-31/7)
Simplify (j*j**(-1/10)*j)/(j*j/j**(-1/58))*((j*(j**(-23)*j*j)/j)/j)/j*j*j/j**(-37) assuming j is positive.
j**(2303/145)
Simplify (c**5/(c*c/c**(1/7)))/((c/(c/((c/c**(2/9)*c)/c*c*c))*c)/c)**24*(c/(c**8/c)*c**2)/(c**(-1/3)/(c**(-8)*c)) assuming c is positive.
c**(-1558/21)
Simplify ((p**(-2/3)/(p*p/(p*p/p**(-3/7))))/(p**10*p**(-7)/p))**(-7/3) assuming p is positive.
p**(47/9)
Simplify ((m/(m/m**5)*m**(-3))/((m*(m**(-1)*m)/m)/m)**(2/53))/((m**(-2/3)*m*m/m**(2/15))/(m*(((m*m**0/m*m*m*m)/m)/m)/m)**41) assuming m is positive.
m**(11087/265)
Simplify ((d**(-6)/d*d*d**(2/15))/(d*d/(d*d*d*d**(-6))*d*d*d**(-1/4)))/((d**5*d)/(d/(d/(d/(d/(d**5/d)))))*d*d**(1/4)*d/d**(-2/11)*d*d*d) assuming d is positive.
d**(-3308/165)
Simplify ((b/(b*b**(2/3)/b*b))/b*b*b)**(-19)*b**(-2/5)*b**(1/2)*(((b**2*b)/b)/b*b**(-1/4))/(b**0)**(-19) assuming b is positive.
b**(-329/60)
Simplify ((b**(-4)/b**(-7/4))/(b**(3/10)/(b/((b**(2/9)/b)/b*b))))**(-43) assuming b is positive.
b**(5977/180)
Simplify ((p**0*p*p)/p)/p*p**(2/17)*(p**(3/7)*p)/p*p*p**5*((p/((p/(p*p**(4/3)))/p))/(p**(-4/7)*p))**(6/5) assuming p is positive.
p**(5969/595)
Simplify ((h**(-13/3))**(15/2)/(h*(h**6*h)/h)**(1/3))**(-23) assuming h is positive.
h**(4807/6)
Simplify (c*c/(c*c**0))**(-33)/(c**(5/4)*c**(-1/11))*(c/c**(-4)*c**(2/11))/((c/((c/(c/(c**(2/15)/c))*c)/c*c))/(c*c*c/c**(-1/6))) assuming c is positive.
c**(-5869/220)
Simplify ((u/(u/(u/(u/u**(-1/3)))))**41/((u*u/(u/(u*u/(u*u/u**(-16)))))/u**(-7)))**(1/19) assuming u is positive.
u**(-17/57)
Simplify ((o*(o*o**7*o)/o*o**6)/(o**7*o**(-1/4)*o))/((o**(1/3)/(o*o**(-4/3)))/((o/o**(2/23))/(o/(o*(o**(2/3)/o)/o*o)))) assuming o is positive.
o**(659/92)
Simplify s**7*s**(2/7)*(s**1)**(-2/37)*s**(2/9)/s**4*s*s**(-1/3)/s*s/(s*s*s/(s/s**(-2/7))*s) assuming s is positive.
s**(3278/2331)
Simplify d**(-3)/(d/d**30)*(d**21)**(7/3) assuming d is positive.
d**75
Simplify (((c**(-8/9)/c**(-4))**(-2/7))**1)**(-8/5) assuming c is positive.
c**(64/45)
Simplify f/f**(-7)*f*f**1/f*(f*f**(-1/2))**(7/3)*f**(-2/7)/(f*(f/f**(-6))/f)*f**(-1/4)*f*f**(5/6) assuming f is positive.
f**(125/28)
Simplify ((v*v**5*v)/(v*v/(v*v**(-1/3))))**24*((v**(3/2)*v)/(v*v/(v*v**1*v)))**(-15/2) assuming v is positive.
v**(439/4)
Simplify (c*c/(c**(-2/3)*c))**(1/50)*(c**(-2/9))**(-1/7)*(c**(2/11))**(-30)*c/c**(-5)*c**(2/11) assuming c is positive.
c**(5491/6930)
Simplify f**4*f*f**(-7)*f*f*f**1*f**(2/9)*f*(f*f**(-2/3))/(f/(f*f*f**4*f))*((f/(f**0/f)*f*f)/f*f)**(-30) assuming f is positive.
f**(-1003/9)
Simplify (((m/(m/m**(6/7))*m/(m**6*m))**(-3/10))**(-23))**(-1/14) assuming m is positive.
m**(621/245)
Simplify ((u**4*u/((((u*u**(-11/6))/u*u*u)/u)/u))/((u/(((u*u*u*u/((u/(u/(u**(1/14)*u)))/u))/u)/u))/(u/u**(-28))))**(-36) assuming u is positive.
u**(-9264/7)
Simplify (t**(-2/13)*t*t**(-3/4))/(t*t/(t/t**(2/7))*t)**(1/38)*(t*t**(-2/7)*t)**46*t**(1/5)*t**(-1) assuming t is positive.
t**(2700461/34580)
Simplify ((s**(-14)*s**(-8/5)/s)/(s**(-16)*s*s*s/s**(-11)))**(-2/125) assuming s is positive.
s**(146/625)
Simplify ((n*n**(2/17))/n*n*(n/(n/(n/n**(-27))))/n*n)/(((n*n**(-15/2)/n)/n)/((n**(2/11)/n)/n*n)) assuming n is positive.
n**(13763/374)
Simplify ((o**(-2/5))**30*(o/(o/((o*o/(o/((o*o*o/(o*o/(o*o**(-1)))*o)/o)*o*o*o))/o)*o))/o**(-4))/((o**(-2/3)*o**(-1/7))/(o**0)**(-3/13)) assuming o is positive.
o**(-214/21)
Simplify ((d**(-7)/d)/d*d*d)/(d*d**(-4))*d**(-1/6)*d**(2/7)*(d/(d*d**(-1/5)))/(d/(d*d/(d*d**1/d))*d)*(d/d**(2/5))**25 assuming d is positive.
d**(2167/210)
Simplify ((x**(-2/7))**(1/9)*x*x**3*x**(-3))/(x/x**(-1/15)*x*x**0)**(-23) assuming x is positive.
x**(15278/315)
Simplify ((w**(-3/2)*w*(((w*w/(w*w/(w/w**(-20)*w*w)))/w*w*w)/w)/w)/(w*w**(2/9)*w**(1/4)))**39 assuming w is positive.
w**(9373/12)
Simplify ((b**(-5)/((b/((b**(1/6)/b*b)/b))/b))/(b**(-5)*b*b/(b/(b*b**(-1/3))*b*b)))/(b**(2/21)/b**(-2))**20 assuming b is positive.
b**(-1781/42)
Simplify (b*b/(b/((b/(b*b**(-10)))/b))*b**(-2/13))**(3/10)*(b**1/b**(-1))/((b*(b*(b*(b/(b/b**(-3/11)))/b)/b)/b)/(b**(2/17)/b)) assuming b is positive.
b**(52804/12155)
Simplify ((k**(-11)*k)/k**(-1/5)*(k*k**23/k)**(-46))**(-2/135) assuming k is positive.
k**(10678/675)
Simplify ((w/w**1*w)/(w/w**(-1/3)))**45*(w/w**(-5)*w*w/(w/w**1))/(w**(-3/2)*w*w*w/(w/w**4*w)) assuming w is positive.
w**(-21/2)
Simplify (b**(-5 | {
"pile_set_name": "DM Mathematics"
} |
0/8). Let i be 2/(-4)*(5 - 5). Suppose i*c - 16 = -d*c. What are the prime factors of c?
2
Let s = 8 - 2. Suppose 0 = 3*q - 5*a - 55, 3*a = q - s*q + 35. Suppose -q*c = -6*c - 20. What are the prime factors of c?
5
Suppose 4*t - 3 = 5. Suppose -t = 4*g - 2*g. Let b = g - -12. List the prime factors of b.
11
Let k be ((-4)/3 - -1)/((-18)/3510). Suppose -2*j + k + 64 = r, -2*r = -3*j + 176. What are the prime factors of j?
2, 31
Suppose 2*z - 273 - 2837 = -5*i, -7729 = -5*z - i. List the prime factors of z.
3, 5, 103
Let v(p) = p**3 - 4*p**2 + 8*p - 10. Let o be v(3). Suppose -3*j + 581 = -3*a + 2*a, -3*j - o*a = -587. List the prime factors of j.
2, 97
Let n = -9 - -12. Suppose 21 = -n*o - 5*t - 18, -4*o = -t + 29. Let h(x) = -x**3 - 8*x**2 + 3. List the prime factors of h(o).
3
Let s be (-1)/(-3)*(-75)/(-5). Suppose -2*i - 4*d = -0*i - 276, i - 138 = -s*d. List the prime factors of i.
2, 3, 23
Let g(c) = 6*c**2 + 175*c - 72. What are the prime factors of g(-30)?
2, 3, 13
Let h(r) = -19*r + 173. What are the prime factors of h(2)?
3, 5
Let q(m) = -m - 4. Let d be q(8). Let r = -17 - d. Let u(o) = o**3 + 5*o**2 - 6*o + 5. List the prime factors of u(r).
5, 7
Suppose 0 = 3*m - v - 3*v - 1122, m - 373 = v. Let k = -263 + m. List the prime factors of k.
107
Let q be -4*(22/(-77) - 26/7). Suppose -45 = 7*u - q*u. List the prime factors of u.
5
Let w(j) = 117*j - 186. What are the prime factors of w(6)?
2, 3, 43
Let x = 171 + -105. Let t = -254 + x. What are the prime factors of (0 + -2)/(8/t)?
47
Let i be ((-2)/(-6))/((-5)/45). Let k be 2/4 - i/(-2). List the prime factors of 1/k + (-54)/(-2).
2, 13
Let n = -202 - -313. List the prime factors of n.
3, 37
Let j(o) = o + 9. Let d be j(-6). Suppose -20 = -4*n - y, -d = -2*n + y + 7. List the prime factors of n.
5
Let g(d) = -d**3 + 2*d**2 + 4*d + 6. Let z be g(-3). What are the prime factors of (198/27)/(2/z)?
11, 13
Suppose 1419 + 1971 = 6*r. What are the prime factors of r?
5, 113
Suppose 0 = -8*w + 3*w - 75. Let x(q) = -q**3 - 15*q**2 - 5*q - 19. Let z be x(w). Let o = z - 25. What are the prime factors of o?
31
Let l = -712 - -2536. What are the prime factors of (-5)/2*l/(-120)?
2, 19
Let m(p) = -p + 40. Suppose 22*s = 20*s. What are the prime factors of m(s)?
2, 5
What are the prime factors of (2 - 1) + (8 - -738)?
3, 83
Suppose -7 = -5*a - 2*t, -t - 13 = a + 3*t. Suppose 2 = a*s - 1. Suppose u - 4 = -s. List the prime factors of u.
3
Suppose -4*i = 2*k + 22, -15 = -6*k + 3*k. What are the prime factors of (2/10)/(i/(-280))?
7
Let u = 455 - -300. What are the prime factors of u/45 - (-2)/9?
17
Suppose -5*u = -4248 - 312. List the prime factors of u.
2, 3, 19
Let z(q) = -2 - 2 - 7 + 6*q + 1. List the prime factors of z(6).
2, 13
What are the prime factors of 2832/8 + 3 + -4?
353
Suppose 0 = 3*m - 43 + 22. Let z(y) = y**3 - 5*y**2 - 8*y + 16. List the prime factors of z(m).
2, 29
Let f(n) = 725*n - 1. Let x be f(1). Let l = -671 + 685. List the prime factors of x/l - 10/(-35).
2, 13
Suppose -917 = -8*y + 3251. What are the prime factors of y?
521
Let l(x) = -x**3 - x**2 + x + 1. Let h be l(0). Let f be h + -2 - (4 - 4). What are the prime factors of f + 1 + 23/1?
23
Suppose 2*z = 0, z + 24 = 4*u - 4*z. Suppose -4*i + u*i = -2. What are the prime factors of 7 + (1/i)/1?
2, 3
Let f = 4452 + -2902. What are the prime factors of f?
2, 5, 31
Let v(l) = -6*l - 3. Let s be v(-3). Let u = s + 49. List the prime factors of u.
2
Suppose -9378 = -15*b + 792. List the prime factors of b.
2, 3, 113
Let z be (18/27)/(2/36). Suppose -3*r = 3*v - 0*r + z, 4*v - 8 = 2*r. Suppose -4*m + 40 = -v*m. What are the prime factors of m?
2, 5
Let b be (-375)/(-30)*(-8)/(-5). What are the prime factors of ((-16)/b)/((-2)/105)?
2, 3, 7
Let a be (-12)/(-18) + 3/((-18)/(-8)). Let j(q) = 6*q**2 - 3*q. List the prime factors of j(a).
2, 3
Suppose 22 - 7 = 5*u. Let n(x) = -x**2 + 3*x - 1. Let v be n(u). Let z(a) = -16*a**3 + a**2 - 1. List the prime factors of z(v).
2
Suppose 15*q - 1275 = -10*q. What are the prime factors of q?
3, 17
Suppose p + 5*g = 4922, 6*p - 4*g + 3*g = 29625. List the prime factors of p.
4937
Suppose 34 = 3*u - 4*r, -5*r = -u - 2*r + 13. Let f be 34/u + (-2)/5. Suppose q - 2*q + 160 = f*z, 5*q - 228 = -4*z. List the prime factors of z.
2, 13
Let n be (-8)/14 + 24/42. Suppose n = -6*m + 27*m - 6720. List the prime factors of m.
2, 5
List the prime factors of ((-152)/4)/(6 - 272/45).
3, 5, 19
Let z be 1 + -8 + 71 - (-2)/2. Let s = z - -13. What are the prime factors of s?
2, 3, 13
Suppose -2*f = 3*d + d - 94, 4*d + f - 95 = 0. Suppose 0 = 23*v - d*v + 39. What are the prime factors of v?
3, 13
Suppose -248 = -4*r - 3*w, 5*w - 80 - 168 = -4*r. What are the prime factors of r?
2, 31
List the prime factors of (95/15)/(((-8)/6)/(-4)).
19
Let k(l) = -l**2 - 4*l + 14. Let g be k(-6). List the prime factors of 77*(-4 + (g - -3)).
7, 11
Let s = -7 + 10. Suppose s*d + 3*d = 468. List the prime factors of d.
2, 3, 13
Let u(p) = 5*p**2 + 88*p + 98. Let o be u(-18). Let f = -27 + -68. Let w = o + f. What are the prime factors of w?
3, 13
Suppose 3*j - 6 = j. Let q = j - -5. Let i = q + 2. What are the prime factors of i?
2, 5
Let t = 389 + 149. List the prime factors of t.
2, 269
Suppose -v - 2*o = -4*v + 29, -2*o = 8. Let p(y) = 7*y**2 - 2*y + 3*y + 2*y + y - y**3 - 4. What are the prime factors of p(v)?
2, 3
Let q = 25 + -33. Let y be (5 + 35)/(4/q). Let v = -19 - y. What are the prime factors of v?
61
What are the prime factors of ((-170)/90 - -2) + (-827)/(-9)?
2, 23
Let t be (135/(-12))/((-3)/(-12)). Let p = 80 + t. What are the prime factors of p?
5, 7
Let c be ((-2)/(-4)*0)/(6 + -5). Suppose 3*q - 185 - 64 = c. List the prime factors of q.
83
Let u be (-6*3/(-12))/(4/8). Let w = u + 80. What are the prime factors of w?
83
Let a = 160 - 121. List the prime factors of ((-26)/a)/(4/(-834)).
139
List the prime factors of (-302 + -1)*(-70)/35.
2, 3, 101
Let r = 618 - -250. List the prime factors of r.
2, 7, 31
Suppose 0 = -127*x + 130*x - 1488. What are the prime factors of x?
2, 31
Let f(u) = u**2 + 7*u + 2. Let j(r) = r**2 + 3*r - 11. Let x be j(-6). List the prime factors of f(x).
2, 5
Let t(n) = 56*n - 44. List the prime factors of t(15).
2, 199
Let q be 0/3 + 30*3. Let u = 39 + -34. Suppose u*n - 2*n = q. What are the prime factors of n?
2, 3, 5
Let p = -429 + 777. What are the prime factors of p?
2, 3, 29
Let k be (1*(8 + -5))/(6/4). Let g(w) = -w + 6. Let a be g(6). Suppose -k*n + 0*n + 6 = a. List the prime factors of n.
3
Let p = 10 + -4. Let k be 16/p*36/8. List the prime factors of (k/16)/((-1)/(-12)).
3
Let q = 70 + -49. Let r = q + -18. Suppose -r*m + 17 + 1 = 0. What are the prime factors of m?
2, 3
Suppose 96*b - 88*b - 13072 = 0. What are the prime factors of b?
2, 19, 43
Let u(t) = t**3 + 2*t**2 - t + 1009. What are the prime factors of u(0)?
1009
List the prime factors of ((-1)/(21/(-14)))/((-2)/(-3867)).
1289
Let s = -174 - -35. Let j = -79 - s. List the prime factors of j.
2, 3, 5
Let x = -7 - -18. Suppose x = 5*q + 1. Suppose -2*u = q*o - 70, -3*u + 0*o + 115 = 5*o. What are the prime factors of u?
2, 3, 5
List the prime factors of -4 + 1151/5 + 3/(-15).
2, 113
Let f be (-203)/(-29) + 2/(-1). Suppose -2*q + 102 = -v, -2 = -3*v + 2*v. Suppose -q = g - f*g. What are the prime factors of g?
13
Let x(j) = j**2 + 13*j - 22. What are the prime factors of x(-17)?
2, 23
Let g(i) = -39*i + 528. What are the prime factors of g(6)?
2, 3, 7
Suppose 4*q - 127 = -11. Let b = -85 - -157. Let z = b - q. List the prime factors of z.
43
Let d(l) be the second derivative of 29*l**3/3 + 2*l**2 - 8*l. Let i be d(4). Suppose -99 = -2*m + 3*q, -q + i = 5*m + 3*q. List the prime factors of m.
2, 3
Let m be ((-13)/(-2))/((-3)/(-6)). Let q = 15 - m. Suppose 0 = -q*h - h - 3*v + 15, -5 = -5*v. List the prime factors of h.
2
Let u(o) = -o. Let p(s) = -12*s - 2. Let a(l) = -p(l) - 2*u(l). Let c be a(6). Let f = c + -55. List the prime factors of f.
31
Suppose 429 = 3*s - 5*l, -4*l - 232 = -2*s + 56. What are the prime factors of s?
2, 3, 23
Let x = -8 - -3. Let b = 7 - x. List the prime factors of b.
2, 3
Let q = -10 - -19. Let b be 1/((-6)/q + 1). Suppose -b*c - 52 = -7*c. List the prime factors of c.
13
Let s be (8/10)/( | {
"pile_set_name": "DM Mathematics"
} |
False
Let o(k) = 2*k**2 + 2. Let n(f) = f**3 - 25*f**2 - 2*f + 124. Let v(h) = -n(h) - 2*o(h). Does 22 divide v(18)?
True
Suppose 416 = 5*n + 4*i, -3*i + 70 = 202*n - 201*n. Is n a multiple of 4?
True
Suppose 0 = 10*x + 9 - 49. Is 6 a factor of (-84 - 0)/((-1)/x*1)?
True
Let z(m) = -2*m**2 - 56*m - 12. Let c be z(-9). Let x = c + 1719. Is 11 a factor of x?
False
Let m(b) = 4 + 47 - 5 + 11*b. Is m(-3) a multiple of 5?
False
Let b(w) be the third derivative of 0*w - 1/60*w**5 + 0 - 3/4*w**4 - 4*w**2 - 1/6*w**3. Does 23 divide b(-13)?
False
Let i(r) = -r**3 - 17*r**2 - r - 15. Let l be i(-17). Suppose 5*c - 2*c - l*w = 20, 0 = 2*c - w - 15. Is c a multiple of 5?
True
Let p(b) be the second derivative of 3*b**5/10 + b**4/6 + b**3/6 + 15*b**2/2 - 5*b - 7. Is 19 a factor of p(4)?
False
Let c(i) = -36*i**3 + 4*i**2 - 21*i - 13. Is c(-5) a multiple of 41?
False
Let s(u) be the third derivative of -u**4/2 - 5*u**3/3 + 19*u**2. Let k be s(-9). Does 32 divide (-2 - -1 - 1)/((-4)/k)?
False
Let t be (3/5)/((9 - 5)/120). Is 33 a factor of 2/12 + 4641/t + -4?
False
Suppose 11*g = 13*g - 12. Suppose -g*n = -5*n + 2*j - 54, -5*j + 104 = 2*n. Is n a multiple of 17?
False
Suppose 2212 - 56 = 7*d. Suppose d = t + j - 3*j, -4*t - 3*j = -1254. Does 34 divide t?
False
Let b = 44516 + -17860. Does 14 divide b?
True
Let x(h) = -66*h**3 + 11*h + 33. Is 13 a factor of x(-5)?
False
Let l be (-91)/(-42) + 1/(-6). Let r be ((-344)/(-20) - 2)/(l/5). Let u = 160 - r. Does 23 divide u?
False
Let k(o) = 16*o**3 - 8*o**2 - 4*o - 11. Is k(6) a multiple of 40?
False
Let i = 119 + -14. Let m = -15 + i. Does 10 divide m?
True
Let f(i) = -4*i**3 + 19*i**2 - 11*i + 6. Let r be f(4). Is 32 + 4 + r + -8 a multiple of 3?
False
Suppose 1327736 = -2529*w + 2588*w. Is 29 a factor of w?
True
Let r(o) = 337*o + 12227. Is 189 a factor of r(158)?
False
Let a = 318 + 1369. Suppose 4*u - a = -3*u. Does 30 divide u?
False
Let w(u) = 21*u**2 + 54*u - 341. Is 4 a factor of w(6)?
False
Let h = 630 + -271. Is 41/164 - h/(-4) a multiple of 5?
True
Let d be (13/3 + -4)/(1/12). Let b(a) = a**2 - 10*a + 30. Let z be b(d). Suppose 69 = z*g - 117. Is 2 a factor of g?
False
Let u(h) = -39*h + 93. Suppose -35 = 13*x - 6*x. Is 18 a factor of u(x)?
True
Suppose -7*v + 4*v = -21. Suppose 6*q - 6*q + v*q = 0. Suppose -5*l - 29 + 99 = q. Is l even?
True
Let s = 2196 - -10354. Is 57 a factor of s?
False
Let o(b) = -277*b + 161. Let z be o(-9). Suppose 4*k - z = -5*p, 0 = -5*k + 25*p - 26*p + 3307. Is 41 a factor of k?
False
Suppose 188 = 4*n + 5*s - 4113, 5*n - 3*s = 5404. Is n a multiple of 53?
False
Is (1846/39 + -6)*99 a multiple of 6?
True
Let n(u) = u**3 + 5*u**2 + 2*u + 8. Let o be n(-5). Let a be ((-7)/5 + o/(-5))/1. Is 8 a factor of (-11)/5*(a + -4)?
False
Suppose -5*q = 5*h - 90915, 3137 = h - 3*q - 15074. Is h a multiple of 107?
True
Is 94 a factor of 7144/(((-2)/5)/(19 + 576/(-30)))?
True
Let a(b) be the third derivative of b**6/120 - b**5/12 - b**4/3 - 13*b**3/3 - 44*b**2. Does 31 divide a(10)?
False
Suppose -5*h = -4*z - 40, z - 4*z = 0. Suppose 760 = 11*q + h*q. Is q a multiple of 20?
True
Is 69 a factor of (-6993)/12*39/((-624)/448)?
False
Does 119 divide (-120)/(-16)*(-20)/(-25) - -6180?
False
Let h(v) = 135*v - 88. Let b = 608 + -602. Does 38 divide h(b)?
True
Suppose -9*m - 41784 = -11*m + 6*f, 0 = 2*m - 4*f - 41786. Is m a multiple of 35?
True
Let p(l) = 4*l**2 + 12*l + 10. Suppose -5*k = j + 23, 6*k + 5*j + 35 = k. Let c be p(k). Suppose 3*u - 37 - 48 = -2*a, u - c = -3*a. Does 22 divide u?
False
Let o(p) be the first derivative of -p**4/4 - 3*p**2/2 - 7*p + 29. Is o(-6) a multiple of 29?
False
Let q(x) = 8*x - 9. Let r be q(8). Suppose r + 57 = 4*d. Is d a multiple of 14?
True
Suppose -4*n = -3*f - 76, -n = n + 4. Let l = 28 + f. Suppose -3 = -h, l = -2*q - h + 6*h + 13. Does 7 divide q?
True
Let m(q) = 29*q - 238. Let b(f) = -7*f + 60. Let u(w) = -9*b(w) - 2*m(w). Is u(19) a multiple of 31?
True
Let c(y) = 0*y - 4554 + 4469 + 41*y. Is 57 a factor of c(31)?
False
Let x(j) be the second derivative of -2/3*j**3 + 55*j**2 + 37*j + 0. Does 10 divide x(0)?
True
Let x = 706 - 666. Suppose 18183 = -11*b + x*b. Is 18 a factor of b?
False
Let f = -327 + 304. Is (480/9)/(f/(-207)) a multiple of 20?
True
Let g(h) = 42*h - 9. Let q be 4/18 - (-671)/99. Suppose -5*a - 4 = -q*a. Does 17 divide g(a)?
False
Suppose -3*c = -2*d + 21, 4 = 4*d - 3*c - 29. Suppose d*y - 2450 = 988. Does 24 divide y?
False
Suppose 2299*r - 768 = 2287*r. Is r a multiple of 4?
True
Let f be ((-10)/25 + 0)*-4535. Suppose 17*m = f + 3983. Does 11 divide m?
True
Let u = -4960 + 6764. Is u a multiple of 11?
True
Let m(r) = -4*r**3 - 14*r**2 - 11*r - 21. Let o(z) = -z**3 - 14 - 13*z - 15*z**2 - 4*z**3 - 8. Let q(n) = -4*m(n) + 3*o(n). Does 11 divide q(-8)?
False
Suppose 2*l + 8*s = 8578, 3*s - 27334 = -5*l - 5821. Is 7 a factor of l?
True
Let z(g) = 149*g - 404. Does 10 divide z(19)?
False
Let g = -958 + 1770. Let s(j) = -2*j**3 - 2*j**2 - 8*j + 8. Let k be s(-7). Suppose 0 = 5*v - a - g, 2*v + 2*v - 2*a = k. Does 9 divide v?
True
Let v(u) = 41*u**2 + 2*u - 4. Let m be v(5). Suppose 9*z - m = 994. Does 45 divide z?
True
Let r(z) = 2*z**2 + 2*z - 40. Let x be r(-5). Suppose 3 - 5 = l, -2*g - 5*l + 242 = x. Does 29 divide g?
False
Let a(q) = 2*q - 2. Let l be a(-4). Let c(o) = 23*o. Let m(p) = 75*p + 27. Let v(u) = 3*c(u) - m(u). Is v(l) a multiple of 11?
True
Let r = -5262 - -7395. Does 60 divide r?
False
Let v(k) = k**2 + 16*k - 534. Let x be v(-31). Let b = 232 - 155. Let y = b - x. Is y a multiple of 11?
False
Let n(d) = d**2 - 8*d + 512. Let f(j) = -j - 1. Let a be f(-1). Is 4 a factor of n(a)?
True
Suppose 104*v = 132*v - 32006 + 1514. Is v even?
False
Is (15 - (-25 - -10))/((-2)/(-8)) a multiple of 2?
True
Let g(s) = s**3 + 9*s**2 - 8*s + 18. Let p be g(-10). Is (-3)/p*(-752)/(-6) a multiple of 58?
False
Suppose -210*o + 12 = -212*o, -2*o = q - 22675. Does 49 divide q?
True
Suppose -134*c + 129233 + 25939 = 0. Is 13 a factor of c?
False
Let m(o) = 233*o**2 + 8*o + 66. Is m(-4) a multiple of 59?
False
Suppose -4*u + 108868 = 4*c, -42*c + 3*u - 108867 = -46*c. Is 28 a factor of c?
True
Let v = -48 + 76. Suppose -v*d + 33*d = 7570. Suppose -16*k = 170 - d. Is 7 a factor of k?
True
Suppose -2*p = 75 + 45. Let n = -21 - p. Is n a multiple of 39?
True
Let j be (-9)/(((-60)/(-70))/(8/7)). Is ((-18)/j - -7)*164 a multiple of 41?
True
Let c(p) = p**3 + 6*p**2 + 12*p + 19. Let i be c(-4). Suppose z + 6*d - 7*d - 29 = 0, 0 = 4*z + i*d - 151. Is z a multiple of 24?
False
Suppose -3873 = 5*a - 6*a + 3*t, a + t - 3857 = 0. Does 39 divide a?
True
Let i(x) = 5*x**2 - 187*x + 502. Does 8 divide i(-42)?
True
Suppose 18*f - 3255 = 13*f. Let y = -287 + f. Does 13 divide y?
True
Suppose -156*b + 417293 = 119333. Is b a multiple of 10?
True
Let k(t) = -2905*t**3 + 11*t**2 + 14*t - 2. Does 77 divide k(-2)?
True
Is 5076 - (-34 - (-31 - -19)) a multiple of 12?
False
Let c be ((-54)/15)/((-3)/(-10)). Let n = c + 15. Suppose -n*m + 129 = -261. Does 17 divide m?
False
Let s = 3309 - -74. Is s a multiple of 22?
False
Suppose 19*y + 19069 = 80473 + 50620. Is y a multiple of 5?
False
Suppose 12*t - 7640 = -440. Suppose 22*r - 12*r - t = 0. Is r a multiple of 3?
True
Suppose -4*j + 26465 = -5*v, 3*j - 4*v - 23139 + 3291 = 0. Suppose 0 = 9*k + 545 - j. Does 9 divide k?
True
Suppose -5*d + m + 1865 - 77 = 0, 5*m = -4*d + 1413. Does 7 divide d?
True
Suppose -2*v = -12*b + 16*b - 11170, -4*b + 4*v + 11140 = 0. Does 30 divide b?
True
Let v(w) = -274*w - 5208. Is v(-36) a multiple of 16?
True
Does 24 divide 3*(-47 + 3)*(-8)/2?
True
Let i = -5 + 3. Let z be (-3)/i + 51/34. Suppose -2*w - z*w = -70. Does 3 divide w?
False
Let w be 5 + -9 - -52*1. Let f = -29 + 17. Let r = w - f. Does 10 divide r?
True
Is 7 a factor of (-173049)/(-111) - (1 + 4)?
True
Suppose 0*w + w = 54. Suppose 0 = 3*i + 9*f - 14*f - 204, 6*f = 4*i - 276. Let m = i - w. Does 8 divide m?
True
Let v(h) = -5*h - 150. Let r be v(-31). Suppose -3705 = -r*u - 0*u - 3*a, u + a - 743 = 0. Is u a multiple of 41?
True
Let g(o) = 293*o**3 - 17*o - 77. Is g(5) a multiple of 140?
False
Let c(u) be the second derivative of u**4/12 - 2*u**3/3 + u**2 + 19*u. Let m be c(10). Let b = m + -33. Is 24 a factor of b?
F | {
"pile_set_name": "DM Mathematics"
} |
.
8
Let g(v) = v**2 + 3*v - 6. Calculate g(-5).
4
Let d(w) = -2*w - 33. Determine d(-19).
5
Let u(r) = -6*r + 72. What is u(16)?
-24
Let w(y) = y**2 + 8*y + 2. Determine w(-7).
-5
Let o(u) = -u**3 - 2*u**2 - 8*u - 6. Calculate o(-3).
27
Let d(q) = 3*q**3 - 14*q**2 - 2*q + 6. Give d(5).
21
Let y(t) = -t**2 + 4*t - 5. Give y(6).
-17
Let d(k) = -5*k + 10. Give d(-13).
75
Let m(q) = 15*q**2 + 1. Determine m(-1).
16
Let q(m) = -2*m**2 - 21*m - 2. Calculate q(-10).
8
Let j(a) = -a**2 + 13*a - 11. What is j(10)?
19
Let z(d) = d - 7. Determine z(12).
5
Let i(y) = y - 1. Determine i(0).
-1
Let q(j) = -11*j**2 + 6*j - 6. What is q(2)?
-38
Let j(y) = -2*y**3 + 40*y**2 - 38*y - 6. Determine j(19).
-6
Let l(p) = -3*p**2 + 16*p + 28. Determine l(6).
16
Let n(g) = -g**2 + g + 45. Give n(8).
-11
Let b(v) = -v**2 - 19*v + 18. Determine b(-20).
-2
Let g(w) = -10*w**2 - 51*w + 7. Determine g(-5).
12
Let b(a) = a**2 + 8*a + 17. What is b(-2)?
5
Let o(h) = -3*h - 66. Give o(0).
-66
Let u(y) = -y**2 - 20*y - 39. Determine u(-18).
-3
Let n(c) = -6*c + 2. Give n(-3).
20
Let k(l) = -2*l**3 - 15*l**2 + 7*l - 4. What is k(-8)?
4
Let d(j) = j**3 + 37*j**2 + 39*j + 115. Calculate d(-36).
7
Let j(z) = z**3 - 10*z**2 - z + 10. Calculate j(10).
0
Let p(u) = -10*u**3 - 2*u**2 + 3*u - 1. Determine p(1).
-10
Let d(x) = -4*x + 6. Determine d(7).
-22
Let i(x) = -18*x**2 + 11*x + 5. Calculate i(4).
-239
Let k(r) = r**2 - 13*r + 13. Calculate k(12).
1
Let w(s) = 9*s + 17. Give w(-3).
-10
Let v(y) = 36*y**3 - y**2. Calculate v(1).
35
Let u(b) = b**2 + 5*b + 2. What is u(-5)?
2
Let m(d) = -d**3 - 34*d**2 + 72*d - 9. What is m(-36)?
-9
Let k(p) = p**3 - 14*p**2 - 15*p - 9. Calculate k(15).
-9
Let k(y) = y**3 + 13*y**2 + 11*y - 15. Calculate k(-12).
-3
Let b(p) = -2*p**2 + 31*p + 15. Determine b(16).
-1
Let i(f) = -f**3 - f**2 - 2*f - 4. Give i(-3).
20
Let p(h) = 16*h + 3. Calculate p(1).
19
Let p(s) = -2*s**2 + 4*s - 6. What is p(-4)?
-54
Let m(u) = u**3 + 9*u**2 - u - 3. Calculate m(-9).
6
Let o(u) = -5*u**2 - 3*u + 1. What is o(-4)?
-67
Let t(b) = b**2 - 7*b + 13. Give t(10).
43
Let s(j) = -j - 14. Determine s(-5).
-9
Let u(z) = z**2 + 11*z + 35. Determine u(-7).
7
Let v(i) = 8*i + 1. Determine v(2).
17
Let i(b) = 4*b**3 + 2*b**2 + 10*b + 3. What is i(-3)?
-117
Let q(b) = b + 9. Calculate q(-3).
6
Let f(d) = d + 1. Determine f(-2).
-1
Let d(v) = 2*v**2 + 6*v + 16. Determine d(-12).
232
Let g(n) = n**3 + 6*n - 4. Determine g(2).
16
Let z(n) = n - 17. What is z(9)?
-8
Let u(x) = x**3 + 13*x**2 - 71. What is u(-13)?
-71
Let z(j) = -17*j + 2. Determine z(-1).
19
Let w(k) = k + 11. Calculate w(-9).
2
Let i(q) = -q**3 - 2*q + 1. Give i(-2).
13
Let y(g) = 25*g + 27. Give y(-1).
2
Let z(v) = 23*v**2 - 2*v. Calculate z(-1).
25
Let g(k) = k**3 + 10*k**2 - 11*k + 7. Calculate g(-11).
7
Let s(v) = -v**2 - 9*v - 14. What is s(-12)?
-50
Let o(t) = t**3 + 9*t**2 - 15*t - 17. Determine o(-10).
33
Let q(f) = -6*f**3. Determine q(1).
-6
Let l(b) = b**3 - b**2 - 2*b - 2. Determine l(0).
-2
Let y(r) = -4*r**2 - 3*r - 3. Give y(-2).
-13
Let y(u) = 13*u**2 - 106*u + 14. Give y(8).
-2
Let p(d) = d. Calculate p(0).
0
Let f(c) = -2*c**3 - 2*c**2 + 3. Calculate f(-2).
11
Let t(m) = 7*m**2 - 7*m + 4. Give t(2).
18
Let j(k) = 21*k**3 - 1. Give j(1).
20
Let k(y) = y**3 - 7*y**2 + 4*y + 9. Determine k(5).
-21
Let f(i) = 5*i + 8. What is f(-3)?
-7
Let t(q) = 2*q**3 + 5*q**2 - 4*q - 6. Give t(-4).
-38
Let j(n) = n**3 - 6*n - 33. Give j(6).
147
Let z(q) = -q**3 + 9*q**2 + 13*q + 3. Give z(10).
33
Let z(d) = -d**3 - 13*d**2 - 8*d + 29. Give z(-12).
-19
Let p(g) = -g + 11. What is p(6)?
5
Let m(q) = -6*q + 32. Determine m(5).
2
Let d(n) = 2*n**3 - 2*n**2 - 3*n + 5. Give d(2).
7
Let t(w) = -3*w + 8. What is t(5)?
-7
Let s(y) = 16*y - 153. Determine s(7).
-41
Let s(l) = 7*l + 76. What is s(-14)?
-22
Let w(o) = o**3 - 8*o**2 + o - 3. Calculate w(8).
5
Let m(c) = -2*c + 4. Give m(-5).
14
Let g(s) = 36*s + 119. Determine g(-3).
11
Let i(z) = -5*z - 12. Calculate i(-4).
8
Let o(k) = -k**3 + 6*k**2 - 2*k + 2. Determine o(3).
23
Let g(j) = 3*j - 18. Determine g(12).
18
Let q(n) = n**3 + 10*n**2 + 7*n + 5. Determine q(-10).
-65
Let c(w) = -w**3 + 4*w**2 + 4*w - 2. Calculate c(4).
14
Let m(y) = 2*y**2 - 9*y - 8. Give m(7).
27
Let v(m) = m - 4. Calculate v(-13).
-17
Let h(g) = g**2 + 13*g + 12. Determine h(-14).
26
Let v(g) = -2*g**3 - 2*g**2 + 8*g + 3. Calculate v(2).
-5
Let p(r) = 2*r + 8. Calculate p(-9).
-10
Let g(b) = b**3 - 12*b**2 + 38*b - 14. What is g(6)?
-2
Let h(u) = u**2 - u. Determine h(2).
2
Let n(x) = 26*x**2 + 259*x - 2. What is n(-10)?
8
Let p(d) = d + 11. Calculate p(10).
21
Let v(f) = 2*f**3 - 17*f**2 + 9*f - 12. Determine v(8).
-4
Let d(w) = w**3 + 11*w**2 - 10*w + 10. What is d(-12)?
-14
Let o(q) = -2*q + 4. Determine o(-2).
8
Let x(d) = -d**3 - 13*d**2 - 11*d + 5. Calculate x(-12).
-7
Let c(z) = -z**3 - 17*z**2 + 18*z - 5. Calculate c(-18).
-5
Let c(w) = -2*w + 58. Calculate c(30).
-2
Let g(p) = 29*p + 4. What is g(1)?
33
Let b(q) = -q - 5. Give b(7).
-12
Let d(c) = -18*c - 544. What is d(-29)?
-22
Let i(c) = -7*c**2 - 2. What is i(2)?
-30
Let z(l) = l**2 + 8*l + 10. Calculate z(-7).
3
Let j(a) = a**3 - 2*a**2 - 2*a + 2. Calculate j(0).
2
Let k(p) = 5*p + 12. Give k(-2).
2
Let u(d) = -d**2 - 13*d - 31. Determine u(-5).
9
Let s(k) = -k**2 - 2*k + 84. Determine s(8).
4
Let z(d) = -2*d**2 - 3*d + 13. Calculate z(-3).
4
Let p(y) = -y**3 + 3*y + 3. Calculate p(3).
-15
Let l(y) = -96*y**2 - 4*y - 4. What is l(-1)?
-96
Let z(u) = -8*u**2 + 94*u + 10. Give z(12).
-14
Let i(g) = g**2 - 14*g + 33. Calculate i(11).
0
Let p(a) = a**3 - 11*a**2 - 17*a + 28. Determine p(12).
-32
Let d(r) = -3*r**2 + 3*r + 1. Give d(-2).
-17
Let r(l) = 12*l - 207. Determine r(17).
-3
Let c(r) = r**2 + 17*r - 19. What is c(-18)?
-1
Let y(t) = 16*t - 5. Determine y(5).
75
Let p(u) = 2*u**2 + 5*u + 4. What is p(-3)?
7
Let d(h) = -3*h - 11. Calculate d(-4).
1
Let m(g) = -39*g**3 + g - 1. Calculate m(1).
-39
Let w(g) = -g**2 - 9*g. What is w(-5)?
20
Let y(w) = w**2 - 8*w + 2. Give y(4).
-14
Let s(a) = 2*a**3 - 3*a**2 - 2*a - 2. Give s(3).
19
Let x(q) = -q**2 + 9*q + 19. Calculate x(9).
19
Let m(g) = 26*g**3 + g**2 + g. Calculate m(-1).
-26
Let j(k) = -k**3 - 3*k**2 - 2*k - 4. Give j(0).
-4
Let d(s) = -s**3 + 9*s**2 - 10*s - 54. What is d(5)?
-4
Let s(d) = d - 5. Determine s(4).
-1
Let m(j) = -101*j**2 + 1. Give m(-1).
-100
Let s(c) = -c**3 + 11*c**2 - 14*c + 16. What is s(7)?
114
Let l(o) = 5*o - 48. Give l(8).
-8
Let t(s) = -13*s**2 - 2*s. Calculate t(-3).
-111
Let k(f) = -2*f**2 + 10*f - 12. What is k(6)?
-24
Let l(i) = 17*i + 5. Determine l(-5).
-80
Let r(d) = -38*d**3 + d**2 - d - 3. Calculate r(-1).
37
Let f(b) = -b**2 - 15*b + 8. Determine f(-16).
-8
Let j(y) = -y**3 - 12*y**2 - 21*y - 12. What is j(-10)?
-2
Let v(f) = f**3 - 9*f**2 + 6*f + 3. Give v(8).
-13
Let d(h) = 2*h + 11. What is d(-5)?
1
Let y(x) = -x**3 - 56*x**2 - 104*x + 218. Determine y(-54).
2
Let l(m) = 2*m**3 + 4*m**2 - 29*m - 3. Determine l(-5).
-8
Let a(h) = -2*h**3 - 10*h**2 + 3*h - 50. Give a(-6).
4
Let w(a) = -a**2 - 4*a. Determine w(-4).
0
Let z(j) = -9*j + 1. Calculate z(1).
-8
Let t(h) = h**2 + 8*h - 10. What is t(4)?
38
Let j(y) = y**3 + 13*y**2 + 13*y + 10. Determine j(-12).
-2
Let r(x) = 2*x**3 + 10*x**2 + 6*x + 21. Give r(-5).
-9
Let z(a) = -a**3 - 6*a**2 - 3*a - 23. Determine z(-6).
-5
Let k(q) = 3*q**3 - q**2 - 10*q + 7. What is k(2)?
7
Let h(p) = p**3 - 10*p**2 - 11*p + 13. Give h(11).
13
Let k(u) = 5*u**2 - 4*u + 2. What is k(2)?
14
Let d(u) = u**2 + 6*u - 8. Determine d(6).
64
Let b(q) = 3*q**2 + 2*q - 7. What is b(2)?
9
Let w(b) = 10*b**3 - b**2 + 2*b + 2. Give w(-1).
-11
Let k(u) = u**3 + 11*u**2 + 6*u. Calculate k(-5).
120
Let l(i) = -19*i + 34. Determine l(-2).
72
Let c(z) = z**2 + 23. Determine c(0).
23
Let v(o) = o - 39. Calculate v(3).
-36
Let p(u) = u**3 + 4*u**2 - 8*u - 5. Give p(-5).
10
Let t(v) = 17*v + 1. Calculate t(5).
86
Let o(r) = -5*r - 168. What is o(-31)?
-13
Let f(x) = x**2 + 40*x - 386. Give f(8).
-2
Let g(n) = -12*n + 5. What is g(1)?
-7
Let b(c) = 3*c - 7. What is b(1)?
-4
Let i(j) = j**3 + 11*j**2 + 27*j - 8. What is i(-4)?
-4
Let o(m) = -14*m - 12. Determine o(-1).
2
Let z(v) = -41*v**3 + v**2. Give z(1).
-40
Let w(j) = j**3 | {
"pile_set_name": "DM Mathematics"
} |
908704649.
-38.91908704649
What is -450205408 plus -77.227?
-450205485.227
Total of -3068.12 and -4296844.
-4299912.12
What is 12807818 - -14026?
12821844
What is 0.0051457388309 less than -1?
-1.0051457388309
-0.398998 - 16208238
-16208238.398998
0.64614+12740.504
12741.15014
Calculate 191.6172 - 612.649.
-421.0318
-5472 + 14377.374
8905.374
Calculate 1833259 - -15203447.
17036706
What is -1440 + -19329883?
-19331323
What is the distance between -48361982596 and 0?
48361982596
Work out 0.335919 - 0.1049321.
0.2309869
Add together 8954 and 373186.
382140
-1028383570.16+6
-1028383564.16
0.089 - 81101.5538
-81101.4648
-2577741.0262 + 0.05
-2577740.9762
Put together -15543508 and 131.
-15543377
Total of -0.29444 and -8306863.
-8306863.29444
What is the difference between 862826.328547 and -0.12?
862826.448547
What is -83 + 5218734460?
5218734377
What is -2633.207432 plus -15920?
-18553.207432
What is the distance between -254.9592242 and 297.76?
552.7192242
Work out 161.88310371 + -312.
-150.11689629
What is 0.0947646447 minus -0.2?
0.2947646447
What is -0.17 take away 20385748460?
-20385748460.17
Put together -69016143999 and -0.3.
-69016143999.3
What is the distance between -9.2 and 0.08322931896?
9.28322931896
Add together 930135367765 and 49.
930135367814
Calculate -31.83 + 9089811346.
9089811314.17
What is -21 plus -375000192972?
-375000192993
Put together -3.9602887868 and -0.14.
-4.1002887868
Work out -3034.8014143 - -0.274.
-3034.5274143
Calculate 244039 - 12207095.
-11963056
-10.93434 - -1919765
1919754.06566
What is -215389599109 less than -11?
215389599098
Work out -0.1 + 158692.3633881.
158692.2633881
-5.17+-48550900243
-48550900248.17
What is 1697759682 plus -0.053079?
1697759681.946921
What is 87908 - -2.4097?
87910.4097
Subtract -1897 from -215787224.
-215785327
674394 - 993876
-319482
What is 1.998414433 - 12252?
-12250.001585567
What is the difference between 0.5 and 4560877765?
4560877764.5
Subtract 44.5457 from -53309.9.
-53354.4457
7068279.5 - -1084980
8153259.5
Calculate -331630.97 - 8.57349.
-331639.54349
Add together -48.934166 and -198359.
-198407.934166
What is 142.3875332 - -37.6?
179.9875332
What is 112760 take away 277009.5?
-164249.5
What is 7683 plus -1814.049053?
5868.950947
Calculate 10843 + 1194.8733.
12037.8733
Put together -837150054.1965 and 5.
-837150049.1965
Work out 2176699787 + -118.
2176699669
What is 190.49928 minus -0.0402529?
190.5395329
What is -384 minus 11156751140.2?
-11156751524.2
Sum -7311.31505 and -0.0406.
-7311.35565
Sum 0 and -52263.5776184.
-52263.5776184
What is the distance between 4.02239 and 5724817?
5724812.97761
Total of 222445.48 and -349.
222096.48
-0.13528 - 36046.3756
-36046.51088
What is -267590897141 less than -0.9?
267590897140.1
What is 2203.2 less than -1361947581?
-1361949784.2
What is -998760.039 - -2079?
-996681.039
What is 17035 minus 76231062?
-76214027
What is the distance between -178 and 209043971.3201?
209044149.3201
What is the difference between 127414689 and -129242?
127543931
What is the difference between -0.194781 and -4.337047?
4.142266
104341489152+2
104341489154
What is -0.045 take away -0.2108572088?
0.1658572088
What is 1.70849524251 less than 0.0208?
-1.68769524251
Work out 0.03853834973 - 0.198.
-0.15946165027
Work out -8081461524.21 - 0.02.
-8081461524.23
What is the distance between 20.5 and 1027000.484?
1026979.984
Total of -892352052620777 and -0.4.
-892352052620777.4
What is the difference between -1165571605 and -0.02907?
1165571604.97093
Add 61586.9393583 and -6.4.
61580.5393583
What is 1619906651.77 plus -0.06?
1619906651.71
-3.847713111 + -0.036
-3.883713111
Add -457.64688066567 and 5.
-452.64688066567
What is the difference between -1627 and -3479732?
3478105
Add -118.48 and -8620151.
-8620269.48
Calculate 4176.11743 + -28.088.
4148.02943
Total of -65385 and 4354688.
4289303
Add together 0.5 and 288069542160.
288069542160.5
Work out 14976132 + 107905.
15084037
What is 34.7 minus 211748363654?
-211748363619.3
Subtract 2.09 from 10.20263172.
8.11263172
What is -1154746 - -1202026?
47280
Sum -18836.186019108 and 12.
-18824.186019108
Sum -55 and -732411.1751.
-732466.1751
-97+-10688.9293
-10785.9293
Put together -2397194.2 and 67.891.
-2397126.309
What is -995925.706 - 57296?
-1053221.706
-0.718 - -0.294533917
-0.423466083
What is the distance between 8.7 and -14947639690?
14947639698.7
Total of -573414474486 and 0.0161.
-573414474485.9839
Sum 15 and 11448219542.6.
11448219557.6
Subtract 0.14 from -1010289465.6.
-1010289465.74
Add together -92.739 and -0.1720054.
-92.9110054
What is 78184.93926725 - 0?
78184.93926725
What is 1198 minus 459405015198?
-459405014000
Calculate -9.5802118 + -951.
-960.5802118
Total of 0.3 and -65.07034474382.
-64.77034474382
Put together -329455050.75 and -551.
-329455601.75
Subtract 0.3 from 0.81760774699394.
0.51760774699394
-338071.92938 + 2
-338069.92938
-2.9+-525711889.47
-525711892.37
What is -0.102334 take away 1190559580?
-1190559580.102334
What is -0.6517439 + 874259?
874258.3482561
Work out 5298 + -640465.8.
-635167.8
What is the distance between -0.079897779 and 1069?
1069.079897779
-10.1+40980418.192
40980408.092
Subtract -6.2611 from -135479134.
-135479127.7389
Put together 1047273319 and 1951.
1047275270
What is -241519386754 + 0.7?
-241519386753.3
Work out 5064 - 107116305.
-107111241
Work out 1.182 + 105792915.
105792916.182
Sum -0.53 and -6229338831.
-6229338831.53
What is 77.97 take away 2057698520?
-2057698442.03
Calculate 25.4329 + 18.2298848.
43.6627848
Add together -3481813405.1 and -0.7.
-3481813405.8
0.3 + 172.69562097615
172.99562097615
Sum 4408 and -17788566.9.
-17784158.9
What is -1709163 take away -15335.9774?
-1693827.0226
What is -15.277517496 minus 0.103?
-15.380517496
What is the difference between -35.81433 and -97647901?
97647865.18567
-3 - 5846423311
-5846423314
Add 0.3118 and -152952363.
-152952362.6882
Put together 9 and -58854405843.
-58854405834
440.5 + -0.052281866
440.447718134
-265099058986 - 13.9
-265099058999.9
-0.3 - -11641679079973.4
11641679079973.1
Total of 483 and -2.13284703564.
480.86715296436
Add -254.1849712065 and 0.1.
-254.0849712065
Subtract 9591257235 from 4507.
-9591252728
Subtract 14.329396 from 436386.
436371.670604
What is -2 + 1053325756298?
1053325756296
-178353493.2376 - -0.4
-178353492.8376
Calculate -0.1305340491 - -0.059.
-0.0715340491
What is -388144 take away -121821.8?
-266322.2
70249.3 + -18924.01
51325.29
What is -51.885311 less than -0.00766?
51.877651
Calculate 114770 - -57356950.
57471720
Put together -18 and 2906.254709.
2888.254709
What is the distance between -8 and -6750.4269917?
6742.4269917
-0.177164961+-201788
-201788.177164961
What is the distance between 174154278429 and 1.3?
174154278427.7
What is -269.4 minus -85681984712?
85681984442.6
-11696130753+-3
-11696130756
What is 17162867 + -901.44?
17161965.56
What is -500 plus 1280557322?
1280556822
What is the distance between 8779464453 and 1.209?
8779464451.791
Total of -34 and -550.8770791457.
-584.8770791457
Sum -0.188 and 777800613.
777800612.812
-36882739 - -22761
-36859978
What is the difference between -27770556993 and 73.69?
27770557066.69
Sum -1.5 and -1.2748601574.
-2.7748601574
216.819989 - 3.4119
213.408089
What is -295220727 - 161507?
-295382234
Sum 60557.1956802 and -4.
60553.1956802
Calculate 426 - 5.665585222.
420.334414778
What is the distance between -66374846.632 and -5?
66374841.632
56.386943+0.2826
56.669543
Put together 1.9 and 2105187176657.
2105187176658.9
-262780581271+-0.52
-262780581271.52
Sum 80.414501 and 767.7.
848.114501
What is 77.6 + -672.96484489?
-595.36484489
What is 11639 minus -15974735?
15986374
Put together 136 and 43764.49205763.
43900.49205763
What is -1978.91 take away -74.6349208?
-1904.2750792
Work out -7517907 - -1660223.
-5857684
Add 6576794 and -23334.
6553460
Sum 1518 and 415317256.
415318774
What is -15007931 + -6512?
-15014443
Add 31 and -11688607612.
-11688607581
-62897978951112+0.2
-62897978951111.8
Calculate -1359840327806 - 4.
-1359840327810
What is 627624.68558 minus -1.7?
627626.38558
Sum -2.37 and 140400831162.
140400831159.63
Put together 1890212 and 8.82534.
1890220.82534
Work out -0.39 + 54933524266.
54933524265.61
Total of 5 | {
"pile_set_name": "DM Mathematics"
} |
-1). Let b = -50 - c. Solve 20 = 3*z - b*z for z.
-5
Let n = -1428 + 1509. Solve -79*t = -n*t - 2 for t.
-1
Let v(n) = 3*n**2 + 59*n + 107. Let x(z) = -z**2 - 20*z - 36. Let g(p) = 3*v(p) + 8*x(p). Let b be g(-15). Let t be (4 - b)/(-1) + 4. Solve -t = l - 2*l for l.
3
Let j = 112 - 108. Let r be (-2)/(-8) - ((-335)/20 - -5). Suppose -r = m - 0*m - 3*d, -20 = -5*m - 5*d. Solve m = -s - j*s for s.
0
Let p be 2 - -1 - (-31 - -31)/((-6)/1). Solve -8*f - f = -p*f for f.
0
Let t(d) = d**3 - 18*d**2 + 22*d - 33. Let f be t(17). Let s = f - 76. Let w be ((-2)/(-8))/(3 + 66/s). Solve -g - 4 = w for g.
-5
Suppose 2*k = 9 + 31. Suppose 0 = k*m - 14*m - 24. Suppose -5*v + m = -4*v. Solve 5 - v = -f for f.
-1
Suppose -151 + 89 = -31*r. Solve r*w + 0*w = 20*w for w.
0
Let m(o) = o. Let g be m(3). Let n be g/(-6) - 44/(-8). Suppose l = 3*i, n*l = -4*i + 7*i + 12. Solve l = 2*z + z for z.
1
Let s = -1348 + 1354. Let p = 3 - -5. Let j be (s*p/(-12))/(-2). Solve -2 - j = 4*i for i.
-1
Let n = 4 + -2. Suppose -8*y - 22 = -38. Let i be -6 - ((-8)/y + -2). Solve i*p + n = -2*p for p.
-1
Suppose -950 - 798 = -38*s. Solve s*x = 49*x + 21 for x.
-7
Let h = 2966 + -2952. Solve -h*c - 31 + 31 = 0 for c.
0
Let s(f) = f**2 - 4*f + 4. Let o be s(4). Let q = -138 - -150. Solve -o = 4*y + q for y.
-4
Let i = 2778 + -2737. Solve 8 + i = -49*m for m.
-1
Let k(m) = 3*m + 6. Let v be k(-1). Let z be ((2 - -9) + -5)/v. Solve -z = -3*l + 13 for l.
5
Let b(f) be the second derivative of f**4/12 - 11*f**3/6 + 6*f**2 + f - 42. Let q be b(11). Solve 3*z + 3 - q = 0 for z.
3
Suppose -9*z - 32 = -y - 8*z, -y + 32 = z. Suppose -y = -11*t + 3*t. Solve t + 11 = 5*r for r.
3
Suppose -455 = 38*p - 1595. Let u be ((-15)/(-15))/(2/p). Solve -u = -4*l + 1 for l.
4
Let t = 5558 + -5543. Let x(a) = -2*a - 9*a**2 + 6*a**2 - a**3 + 7*a**2 - 2. Let g be x(2). Solve -7*d = -g*d + t for d.
-3
Suppose 3*n + 2*r = 5, -3*r + 6*r = 3*n - 15. Let h be 5/(-10) - -1*5/2. Suppose -h*b + t - 4 = -5*b, 3*b + 2*t - 8 = 0. Solve b = n*w + 2*w - 25 for w.
5
Let q be (8/10)/(-3 + (-47)/(-15)). Let w(v) be the first derivative of v**2 - 10*v + 5. Let t be w(q). Solve -10 = 2*x - t for x.
-4
Let x be (0/(-2))/(82 + -84). Suppose x = 6*u - 0 - 0. Solve -5*h - 18 + 8 = u for h.
-2
Let v be ((-2)/(-2))/(-19 - (-51632)/2716). Solve -1 + v = -16*c for c.
-6
Let d be (286/(-715))/(0 - 4/10). Solve 47*m + d = 48 for m.
1
Let q = 29 + -26. Let t(j) = -2*j**q + 4*j - 10*j + 4*j + j + 2*j**2. Let b be t(-2). Solve 5*l - b = -11 for l.
3
Suppose -6 = 4*x + 3*u, -4*u + 3*u - 2 = 2*x. Suppose 3*k = v - 18 + 2, 3*v - 33 = 4*k. Let a be (-3 - (-4 - -8 - v))*1. Solve x = 5*o - a*o - 25 for o.
5
Suppose 29*l - 25*l = -3*p + 35, 0 = -2*l - 3*p + 13. Solve -11 = 28*v - l for v.
0
Let d be 66/9*((-171)/38 - -6). Solve 0 = -d*q + 14 - 36 for q.
-2
Suppose -167*v - 597 - 3099 = -200*v. Solve v*q + 10 = 117*q for q.
2
Let c(u) = -u**2 - 87*u + 1653. Let k be c(-103). Solve -k*a - 214 = -204 for a.
-2
Suppose -5*z - 715 = 2*g, -g = -z - 2 - 134. Let n = z - -149. Solve -2*k + 6 - n = 0 for k.
-1
Let k = 3082 + -3062. Suppose -3*l - a + 0*a + 65 = 0, -l + a + 15 = 0. Solve k*m = 15*m - l for m.
-4
Suppose 3*n - 50 = -2*u, -219*u + 215*u = 5*n - 80. Let m(j) = j**3 - 3*j**2 - 10*j + 4. Let o be m(5). Solve -x - n = o*x for x.
-4
Suppose 0 = 2*w - 2*c + 40, 3*c = w + 4*c + 12. Suppose 4*i - 113 = -7*o + 2*o, 2*i - 64 = -4*o. Let j = i + w. Solve 5*n = -1 + j for n.
1
Suppose 2*n = -8 - 8. Let w(h) = 6*h**2 + 13*h + 162. Let u be w(-8). Let v be 2/n + (u/8)/13. Solve -3*b - 19 = -v for b.
-5
Let y(n) = 5*n**2. Let p be y(-1). Let h = 424538 - 424524. Solve 0 = -p*q + h + 6 for q.
4
Suppose -3*i + 4*x + 0*x + 118 = 0, i + 4*x = 18. Suppose -10*w + 6 = -i. Solve -10 = -w*b + 2 for b.
3
Let d(f) = -14*f**2 - 10*f. Let w be d(-1). Let b be ((-14)/(-2))/(w - -5). Solve 3*p + b = 22 for p.
5
Let z = -45 + 69. Suppose f = 2*q - 7*q + z, 57 = 5*f + 4*q. Solve 7*j - 2 = f*j for j.
-1
Let k(g) = 416*g + 2502. Let i be k(-6). Solve i*v = 40*v + 204 for v.
-6
Let z be (-3 + 5 - 5 - -18) + 3. Suppose -z*u + 54 = -36. Let h(d) = -d + 22. Let q be h(0). Solve 3 = u*c - q for c.
5
Let u be (-5 - (-1 + -2))*80/(-19 + 3). Solve u*m = 120 - 50 for m.
7
Let d = -4243 + 4251. Solve d*m = 107 - 67 for m.
5
Let t = 324 - 324. Suppose 0 = -3*o - t*o + 18. Solve -o - 2 = 2*y for y.
-4
Suppose -320 = -27*j + 139. Solve -j*c - 25 = -12*c for c.
-5
Let m = 10370 - 10361. Solve m*r + 49 - 58 = 0 for r.
1
Let b = -62 + 66. Suppose 4*x = b*y + 8, 0*y - 2*y = -4*x + 10. Suppose 0 = x*m + 2*s - 38, 2*s = 3*m - 2*m - 10. Solve -d + m = -4*d for d.
-4
Let w(n) = 13*n**2 - 26*n + 29. Let i(g) = -11*g**2 + 24*g - 30. Let m(s) = 6*i(s) + 5*w(s). Let j be m(5). Solve o + j = 3*o for o.
5
Let k(y) be the first derivative of -1 + 0*y + 1/3*y**3 + y**2. Let n be k(-2). Solve 3 = -n*p + p for p.
3
Let b(j) = -21*j + 113. Let k be b(5). Solve -k*g - 89 = -65 for g.
-3
Let t(u) = 2*u**2 - 60*u + 522. Let v be t(19). Solve 0 = -v*p + 83*p - 105 for p.
-5
Suppose 118 = 3*a - 2*d, 122*d = -a + 125*d + 51. Solve -a = 3*p - 42 for p.
2
Let y(f) = -f**3 + 9*f**2 - f + 12. Let s be y(9). Suppose 0 = -i - n - 1, -3*n = 8*i - 13*i + 19. Solve s*u - i = u for u.
1
Let l(j) be the third derivative of 39*j**2 + 3/20*j**5 + 4/3*j**3 + 0*j - 1/120*j**6 + 0*j**4 + 0. Let b be l(9). Solve b = -s + 5 for s.
-3
Let t(h) = -2*h**3 + 5*h**2 - 11*h + 37. Let d be t(3). Let c(y) = 45*y + 227. Let q be c(d). Solve 6 = x + q*x for x.
2
Let c = -159 - -289. Suppose -2*j + c = -7*j. Let s = j - -28. Solve s*v + 11 - 1 = 0 for v.
-5
Let j(u) be the second derivative of u**4/12 + u**3/3 - 23*u**2/2 - 14*u. Let o be j(0). Let k = o + 27. Solve -k*y + y = 6 for y.
-2
Let r be (264/(-10))/(1/(-5)). Let z = 132 - r. Solve -3*n + z + 3 = 0 for n.
1
Let v(r) = r**2 + 7*r - 3. Let s be v(-9). Let y(i) = i**3 - 15*i**2 + 2*i + 3. Let q be y(s). Let u = 33 - q. Solve -2*o + u*o - 2 = 0 for o.
-1
Let k = 437 - 432. Let o be 13 + (0 + -4 - k). Solve t - o = -2 for t.
2
Let h(j) = 2*j**3 - 4*j**2 - j. Let b be h(3). Let k(m) = -m**3 + 15*m**2 + 19. Let y be k(b). Solve -g - 18 + y = 0 for g.
1
Let s(f) = -f**2 - 6*f - 5. Let g(a) = -138*a**2 - 3*a - 10 - 9*a + 136*a**2. Let q(r) = 3*g(r) - 5*s(r). Let k be q(-3). Solve 0 = 9*h - k*h - 10 for h.
2
Let g(x) = 2*x + 42. Let s be g(-19). Suppose s*k - 25 = -3*z, 5*z - 4*z = 3. Solve k*c = -11 - 9 for c.
-5
Let l be (5/(-10) - -1)*(1 + -1). Suppose 5*w + l*z = 5*z, -w - 4*z = 0. Let o(g) = -2*g**2 + 2*g + 1. Let n be o(w). Solve n = -p - 1 for p.
-2
Suppose -15 = -2*c + 3*c + 5*v, -3*v = 3*c + 9. Let x(s) = s**2 + 2*s + 33. Let q be x(c). Suppose q = 5*u + 3. Solve 0 = -u*o + o + 20 for o.
4
Let b be (-57600)/(-5700) - (-2)/19*-1. Solve -b*x = -349 + 339 for x.
1
Let z(b) = -534*b - 487. Let q be z(-1). Solve q*y = 16*y for y.
0
Let r(q) = 391*q - 8208. Let c be r(21). Solve 6 - 12 = -c*n for n.
2
Suppose -9*m - 8*m + 6689 = -2066. Solve 43*x = -60*x - m for x.
-5
Suppose 8*v + 204 + 132 = 0. Suppose 2*c + 10 = 4*l, 3*c - 4*l = -19 + 4. Let q be c/(-6) + -1 - 595/v. Solve -q + 2 = -3*h for h.
4
Let w(f) = -23*f**2 - 31 - 4*f**3 + 30*f**2 - 8*f + 5*f**3. Let k be w(-7). Solve 6*t - k = t for t.
5
Suppose -2*x + 0*x = -6. Let w be (3 - 22/4)*12/(-10). Suppose -7*t + 6*t - 5*p = -27, w*t - 31 = -5*p. Solve -t*b = -x*b + 4 for b.
4
Let x = 11362 + -11357. Solve x*c + 5 + 15 = 0 for c.
-4
Suppose 2*z = 3*w - 61, w + 5*z - 15 = 3*z. Suppose -w = -4*p + 2*t + 7, -5*p - 5*t = -25. Suppose -14 = -5*c + p. Solve f = -c*f for f.
0
Suppose 0 = 4*o + 4*v + 56, -16 = -o + 3*v + 2*v. Let h be o*1/(-9)*-3. Let z be 6*((-9)/3)/h. Solve -z = 4*t - 2*t for t.
-3
Let d be 2/13*-2*91/126*-9. Solve -1696 = d*u - 1692 for u.
-2
Suppose -o + 5*g + 17 + 302 = 0, -3 = -3*g. Solve -o = 2*a - 324 for a.
0
Let d be (-102)/357 - (-8)/28. Suppose 3 = -3*l + 6*l. Suppose -3*v = -a - 12, -l - 5 = -v + a. Solve -v*o - o = d for o.
0
Suppose -172 = -3*a - 154. Solve -a*q - 78 + 84 = 0 for q.
1
Let u(q) = 199*q + 10487. Let l be u(-52). Solve -15*c = 49 - l for c.
6
Suppose 104 = 11*g - 94. Suppose -g*n - 6*n + 4*n = 0. Solve n = -8*u - u for u.
0
Let a = 12 + -9. Let j be 40*(15/(-6) + 1 - -3). Let v = -47 + | {
"pile_set_name": "DM Mathematics"
} |
e 7*y - 2*y = c*r, 4*y = -2*r - x for y.
-3
Let y(v) = -v + 35. Let i(f) = 2*f - 3*f + 52 - 2*f + 2*f. Let d(s) = -5*i(s) + 8*y(s). Let p be d(6). Solve -c - 13 = 3*u - 5, 3*c - p*u = 9 for c.
1
Let c(v) = 29 + 43 - 72 + 12*v + 38. Let o be c(-3). Solve 4*m - o*q = 0, 5*q - 5 = -3*m + 4*q for m.
1
Let t be 1590/100 + 7 + (-1)/(-10). Suppose -200 = -p - 3*p. Let v = p - t. Solve -4*m + 26 = -5*n - 5*m, 2*m + v = -5*n for n.
-5
Suppose -5*t = z - 9, -2*z + 0*z - 3*t = -32. Let j be (5/(-3))/((-8)/24). Suppose z = j*u - 6. Solve u*b - 1 + 21 = -5*g, -b = -3*g for b.
-3
Suppose 15 = 3*g - 0. Let w(k) = 58*k**3 + k**2 + k + 1. Let o be w(-1). Let l = o - -75. Solve 3*y = -0*r + 4*r - 3, g*y - l = -r for y.
3
Let p(t) = 24*t - 239. Let v be p(11). Solve v = 5*g, -2*s + s = -5*g + 27 for s.
-2
Let n = -6916 + 6920. Solve -8 = -2*y + n*v, -y = v - 2*v - 1 for y.
-2
Let n(h) = 3*h**2 + 9*h + 3. Let i be n(0). Solve -5*b - 9 = -2*d, -17 = -d - i*b - 18 for d.
2
Let d be (-23598)/(-1881) + (12/11)/(-2). Solve 0 = 119*o - 116*o + 5*x + 12, -2*x = 3*o + d for o.
-4
Let c = -5 + 11. Suppose -22 = -c*k + 5*k. Let t = -20 + k. Solve -t*j + 15 = u, 0 = -2*u + 2*j + 3*j - 15 for u.
5
Suppose 514554*w - 514568*w + 28 = 0. Solve -b + 2 = 0, 6*b - w*b - 16 = 2*z for z.
-4
Let g(l) = 3*l - 20. Let u be g(7). Let j(x) = -u + 0*x + x - 22. Let i be j(25). Solve i + 3 = 2*y - 5*p, 2*p = -y + 7 for y.
5
Let a be (8 + -7)*13 + -2 + 1. Suppose -10*q + 6*q - 3*v + a = 0, -4*v + 9 = 3*q. Solve q*h - 4*h + 2*s - 5 = 0, 5*h + 25 = -5*s for h.
-5
Let z be 343/91 - (-24)/104. Solve 5*l + q = -28, -11*q - 16 = z*l - 7*q for l.
-6
Let c(s) = -5*s + 23. Let o be c(5). Let f be ((-54)/(-18))/((-3)/o). Solve -f = -4*p + 3*q, -2*p - 5*q + 4 = -10 for p.
2
Suppose -4*a + 3*a = -5*t + 200, 5*a + 120 = 3*t. Suppose -5*j - t = -4*w - j, -12 = -w - j. Solve 0 = u - 0*z - 4*z + 7, 2*z - w = 3*u for u.
-3
Suppose 2*q = -0*q - n + 5, -2*n + 2 = 2*q. Let a = 641 + -629. Suppose -11*v + 5*v = -a. Solve v*x + 3*g + q = 0, -g - 4 = 2*x - 2*g for x.
-2
Let z(s) = -5*s + 85. Let h be z(17). Suppose 2*x - 3*d - 12 - 13 = h, x = -3*d + 35. Solve 2*m - 5*b = -16 - 7, 5*b = 5*m + x for m.
1
Suppose 12*f + 1008 = -2040. Let i = f - -258. Solve -3*c = -i*z + 15, -2*c + 7*c = -2*z + 1 for c.
-1
Suppose 2*q + 6 = q - 2*l, 0 = -q + 5*l + 29. Let g be 1/((-2 + -3)/(-40)). Suppose 17*p = g*p + 108. Solve 0*h = -3*u + 5*h - p, -4 = u + q*h for u.
-4
Suppose -57*k = 12*k + 114*k - 915. Solve 5*l - 3*r - 35 = -0*r, -k*r - 5 = 5*l for l.
4
Suppose -2*z + 5*l + 259 = 0, -4*l - 221 - 171 = -3*z. Let y = z - 127. Solve y*i + 18 = 2*n, -2*n - 7*i = -2*i + 22 for n.
-1
Suppose 4 = -37*b - 38*b + 77*b. Solve -4*n + b*f + 8 = 0, 33 - 13 = -4*n - 5*f for n.
0
Suppose 0 = 26*x - 121 + 69. Solve 5*i - x*y - 5 = 8*i, -5*y = -2*i + 22 for i.
1
Let p(r) = r**3 + 2 + 3 - 7*r**2 - 1. Let q be p(7). Suppose 8*z + 0*z - 171 = -49*z. Solve q*a + 20 = -a, -z*i + a = 5 for i.
-3
Suppose n = -3, 2*n - 3 = 3*b - 21. Suppose -f = 3, -2*i = -3*f + b*f - 7. Solve 2*j + 4*c - i*c = 5, c - 7 = -j for j.
4
Suppose -3*u - 93 = -3*x, 11*x - 52 = 7*x - 4*u. Solve -v - 36*h - 7 = -33*h, -x = -2*v + 3*h for v.
5
Let o = 544 + -502. Suppose -228 = -18*k + o. Let m(j) = -j + 33. Let h be m(0). Solve -5*d + h = i + i, -5*i = -d - k for d.
5
Suppose 7470*v - 7483*v + 23 + 29 = 0. Solve 22 = -m - v*t, -2*m - 17*t + 19*t = -6 for m.
-2
Suppose -18 = -4*z - 287*n + 286*n, 0 = -z + 2*n + 9. Solve -4*b = -z*b - 5, 4*q - 4*b = 8 for q.
-3
Let a(l) = -l**2 + 8*l - 27. Let c be a(8). Let m(f) = -f**3 - 24*f**2 + 83*f + 59. Let u be m(c). Solve -2*j + 14 = 3*x, -3*x - 8 = -u*x - j for x.
2
Let u(t) = 5*t - 7. Let b be u(2). Suppose -b*d = 3*o - 3, -2*o + 7*o - 3*d = 37. Solve 2*g = o*x - 15, 2*x = -g + x - 4 for g.
-5
Suppose -75*a = -39*a - 108. Solve -4*l - a*q - 21 + 22 = 0, 3*q = 5*l - 8 for l.
1
Suppose -m + 49 = 19. Let d be (2 - 10/6)/(m/360). Solve h + 3*s + 8 = 0, 0 = -5*s + s - d for h.
-5
Let l(u) = -2*u**3 + 34*u**2 + 34*u + 39. Let i be l(18). Solve -3*g + 4*a - 1 = 0, 4*g = i*g - 3*a + 17 for g.
5
Suppose -3*s - 3*z - 44 = -59, z = -1. Solve 0 = 3*k + s, 0 = 5*j - 6*j - 5*k - 9 for j.
1
Let k be (208/104 + (-5)/3)*15. Solve r + 2*c + 5 = 0, r + 4 = 4*c + k for r.
-3
Suppose 9*c + 66 = -1374. Let b = -160 - c. Solve a - 22 = 3*a + 4*l, b = -a + 5*l + 24 for a.
-1
Suppose -3*j + 21 = 5*k, -6*j + 4 = 2*k - 7*j. Suppose 0 = -4*y + 4*z + 1 + 3, -k*z = 4*y - 11. Solve 0*r = y*p + 5*r + 33, 2*p = -3*r - 23 for p.
-4
Suppose 2*o - 19*i = -22*i - 18, -6 = i. Solve o = 3*l + 2*s - 0*s + 10, -4*l - s - 5 = 0 for l.
0
Let j be 4*1 + (-12 - -18). Let i be 1 - (-3)/(6/(-14)). Let m = i + j. Solve 4*k + m = 2*k - 3*y, -6 = 3*y for k.
1
Let u(y) = -5*y - 15. Let f be u(-4). Let h be 1*(-5 + f - -4). Suppose -21 = -h*k + 35. Solve -4*b = 16, 3*m + b = -b - k for m.
-2
Let k = 3 + 0. Suppose -w + 0*w = -k*w. Suppose w = 5*j + 3*q - 23, -5*q + 21 = 2*j + 2*j. Solve -j*x + 8 = 2*l - 0*l, 5*l + 4*x = -4 for l.
-4
Let k be (4/(1 + 0))/(1 + 0). Let o be (16/(-28))/(k/(-42)). Solve -4*u + 5*u = w - o, 0 = -5*w - 3*u + 14 for w.
4
Let h(r) = -r + 15 - r - 2*r**2 + 3*r**2 - 5*r. Let q be h(5). Suppose 3 = 3*p - 3. Solve -3 = -b + q*o, 1 - p = o for b.
-2
Suppose -2*l + 364 = 2*l. Suppose l = -19*a + 395. Let b(v) = -4*v + 67. Let g be b(a). Solve 5*k = 2*p + 29, g*p = 2*p + k - 7 for p.
-2
Suppose v = 157*t - 153*t - 12, -4*v = -3*t + 9. Solve -2*c + v*c = 8, 4*q - 3*c = 12 for q.
0
Let v(k) = k**2 - 4*k + 5. Let h be v(4). Let r = 7860 + -7857. Solve -f - 1 = -g, -h*f + 5 = -r*g + 16 for f.
-4
Let c(n) = n**2 + 4*n - 9. Let z be c(-5). Let k be 1/z - 815/20. Let b = k - -46. Solve b = -r, -2*r = 5*f - r for f.
1
Let w = 11200 - 11193. Solve -6*v + 18 = 0, 0 = 3*c - w*c - v - 9 for c.
-3
Let j be 7*(4 - 10/35 - 3). Let z be j/(6/(96/40)). Solve -z*p + 15 = 5*n, 2*n = -2*n - 4*p + 24 for n.
1
Suppose 14 = 9*o - 5*r - 28, 5*r + 3 = -4*o. Solve 3*y + o*u + 6 = 0, 5*y - 147*u + 6 = -148*u for y.
-1
Let t = -338 - -342. Suppose t*y - 6*k = -2*k + 32, -14 = -y + 3*k. Solve x + 3 = -5*p, -2*x + 1 = -y*p - 4*x for p.
-1
Suppose -2277 = 13*l - 834. Let w = l + 114. Solve w*z = 5*b - 31, 5*b - 17 + 0 = -4*z for b.
5
Suppose 0 = 2*u - 5*d - 4, 4*u + d - 8 = 2*d. Suppose -4*c + 2 = -0*z + 2*z, 2*c + 2 = u*z. Solve -2*b - 12 = -c*t + 3*t, -t = b + 4 for b.
0
Let g(i) = -102*i - 3. Let m(s) = -s**2 - 5*s + 15. Let f be m(-7). Let d be g(f). Let u = -93 - d. Solve -3*z + u = 0, -o - 4*z = -z - 9 for o.
-3
Let l = -13689 - -13702. Solve 5*m + 3*a - l = -a, 4*a - 9 = -m for m.
1
Suppose 267 = 117*h - 83*h - 413. Solve -14 = 5*i - 4*g - 34, 4*g + h = -3*i for i.
0
Let b = 43 - 53. Let l be -6 - 85/b - 1/2. Solve -2*d = 2*y - l, 3*d + 1 = d - y for d.
-2
Let a = -9080 - -9083. Solve -2*r = -4*g - 18, 53*g - 50*g + 9 = -a*r for g.
-4
Let g be 4 - (4 - (-2)/(-1)). Let d be ((-18)/4 + g)*-2. Let m = 1229 - 1226. Solve -r + 6 = d*k + 1, -4*r + 20 = m*k for r.
5
Let j(n) = -2096*n + 123669. Let h be j(59). Let z = -1 - -5. Solve -4*b + 0*k - h*k = -36, z*b = k + 12 for b.
4
Let w be -6*3*14/(-252). Solve j = 5*f + 13, 3*j - 7*f = -11*f + w for j.
3
Suppose -2778 = -3*c + 3*b, -6*c + 4636 = -c - 3*b. Let p = -927 + c. Solve -p*x = -3*j - 4*x + 2, -3*j + 16 = -5*x for j.
2
Let l be (14/(-5))/((-28)/70). Suppose 4*q + l - 3 = 0. Let m be (2 - 3)/(q/4). Solve -3 = -2*s - 2*h - 5, -2*s + m*h = -16 for s.
2
Suppose -13*h + 307 = -161. Suppose 0 = p + h - 40. Solve j + 7 = 2*d, 0 = 2*d + 2*d - p for j.
-5
Suppose 4161*l = 4153*l + 53 + 51. Solve l*a - 20 = -w + 18*a, 0 = 5*w + 2*a + 8 for w.
0
Suppose -2*d + 0*d = 2*p - 8, 0 = -3*d - 5*p + 12. Let k(u) = -6*u + 8. Let q be k(1). Solve -5*y - q*t = t - 1, t = -d*y + 5 for y.
2
Let u = -157 + 161. Let v be (u/(-5))/1*(-210)/28. Solve 2*j - p + v = 0, 0 = j - 0*j - p + 2 for j.
-4
Let c be (12/(-132)*-22)/((-6)/(-15)). Solve c*h - 15 = -l + 2*l, 5*l - 15 = -5*h for h.
3
Let u(y) = -2*y**2 - 7*y - 1. Let n be u(-7). Let c = 19 + n. Let o = 37 + c. Solve -j = 2*r - o, 0 = 3*r + 5*j - j - 19 for r.
1
Let l(s) = s - 175. Let k be l(-23). Let w = k - -200. Solve -2*h + 4*t + 0*t = w, -3*h + 5*t = 5 for h.
-5
Let g(r) = -2*r**2 - 9*r**2 - 6*r + 10*r**2 | {
"pile_set_name": "DM Mathematics"
} |
3 + 9*m. Let i(o) be the second derivative of s(o). Calculate -2*i(z) - 3*v(z).
-z + 3
Let o(h) = -4*h + 6. Let l(u) = 3*u - 18. Let k(f) = -2*f + 9. Let b(y) = 9*k(y) + 4*l(y). Let q = 190 - 182. What is q*o(a) - 5*b(a)?
-2*a + 3
Let v(z) = 9*z**3 - 19*z + 6. Let y(q) = -18*q**3 + 39*q - 11. Determine -11*v(l) - 6*y(l).
9*l**3 - 25*l
Let y = 16 - 19. Let a be -4 - ((-6)/y + -1). Let d(t) = t**3 + 7*t - 1. Let m(c) be the third derivative of c**4/24 - 4*c**2. Determine a*m(v) + d(v).
v**3 + 2*v - 1
Let m(r) = -22*r - 7. Let i be m(1). Let t = 8 + i. Let z(n) = -2 - 30*n - 9 - 5 - 5. Let x(o) = 3*o + 2. What is t*x(j) - 2*z(j)?
-3*j
Let r(b) = 32*b + 14. Suppose 42 = -j - 2*j. Let x(y) = -37*y + 7. Let m(w) = 61*w - 8. Let z(k) = -2*m(k) - 3*x(k). Calculate j*z(p) - 5*r(p).
-6*p
Let n(x) = -83*x + 48. Let f(d) = -21*d + 13. Calculate 22*f(k) - 6*n(k).
36*k - 2
Let y be 5 - 6/(6 - 0). Let g(l) = l + 2. Let b(d) be the second derivative of d**3/6 + d**2 - d. Calculate y*g(j) - 5*b(j).
-j - 2
Let d(m) = 25*m - 83*m + 16*m**3 + 33*m + 7 + 10*m**2 + 32*m. Let x(i) = 5*i**3 + 3*i**2 + 2*i + 2. Determine 2*d(h) - 7*x(h).
-3*h**3 - h**2
Let u be (-42)/(-420) - (29/(-10) - -1). Let v(c) = 5*c**3 + 3*c. Suppose -7 + 1 = 2*a. Let k(j) = 4*j**3 - j**2 + 2*j. What is a*k(t) + u*v(t)?
-2*t**3 + 3*t**2
Let c(t) = 10*t - 4. Let g(i) = -1. Suppose -98*q - 330 = -43*q. Give q*g(s) + c(s).
10*s + 2
Let h(j) = 2. Let n(a) = 36*a - 90. What is 90*h(v) + 2*n(v)?
72*v
Let g(w) = 302*w**3 + 5*w - 5. Let t(r) = 3927*r**3 + 66*r - 66. Determine -66*g(f) + 5*t(f).
-297*f**3
Let x(t) = 5*t - 2. Suppose 1 = g - 3. Let u(r) = 1 - g - 9*r - 14*r + 29*r. Give -4*u(h) + 5*x(h).
h + 2
Let y(l) = 8*l**3 + 36*l + 3. Let m(d) = 23*d**3 + 109*d + 8. Calculate 3*m(k) - 8*y(k).
5*k**3 + 39*k
Let t(h) = -2*h - 3. Let q(o) = -67093 - 7*o + 5*o + 67089. What is -2*q(n) + 3*t(n)?
-2*n - 1
Let h = -61 + 58. Let j(f) = 4*f**2 - 3*f - 3. Let d(g) = -11*g**2 + 8*g + 8. Give h*d(a) - 8*j(a).
a**2
Let r(f) = -f**2 - 12*f - 1. Let a(n) = -2*n**2 - 23*n - 2. Suppose 5792*k + 36 = 5786*k. Calculate k*a(q) + 11*r(q).
q**2 + 6*q + 1
Let z = 120 + -80. Suppose 4*i - z = 4*t, 16 = -2*i + 6*i. Let g(k) = 7*k**3 + 6*k + 6. Let b(s) = -20*s**3 - 17*s - 17. Determine t*b(c) - 17*g(c).
c**3
Let j(f) = -4*f + 3. Let q = 22 + -19. Let t(k) = -12*k. Let g(o) = -13*o - 1. Let a(l) = -5*g(l) + 6*t(l). Calculate q*a(i) - 5*j(i).
-i
Let y(p) = -2*p - 2. Let q(k) be the third derivative of -k**4/24 - k**3/6 + 6*k**2. Suppose 8*s + 120 - 144 = 0. What is s*y(w) - 8*q(w)?
2*w + 2
Let a(r) = 7*r + 1. Let m(p) = 7*p + 2. Let s(b) = 4*a(b) - 5*m(b). Let t(k) = 0 + 9*k - 10*k - 1. Calculate -s(c) + 6*t(c).
c
Let c(k) = 2*k + 4 + 1 - 3. Suppose 0 = -123*n + 58*n - 130. Let w(t) = t**2 + t + 1. Calculate n*c(d) + 2*w(d).
2*d**2 - 2*d - 2
Let h(c) = -c + 2. Let z(v) = -3. Let i(q) = -5*h(q) - 4*z(q). Suppose -77 = -21*f + 7. Let a(y) = -11*y - 4. What is f*a(r) + 9*i(r)?
r + 2
Let u(f) = f**2 - f + 1. Let r = 10 + -5. Suppose -r - 11 = -4*n. Let a(x) = 2*x**2 - 4*x + 4. Calculate n*u(h) - a(h).
2*h**2
Let d(p) = 8*p**3 - 6*p**2 - 5*p + 5. Let z = 225 - 231. Let w(u) = -u**3 + u**2 + u - 1. Give z*w(q) - d(q).
-2*q**3 - q + 1
Let n(r) = -13*r**3 - 7*r**2 - 28*r - 7. Let p(v) = 4*v**3 + 2*v**2 + 9*v + 2. Suppose 35 = 227*y - 232*y. Give y*p(i) - 2*n(i).
-2*i**3 - 7*i
Let w = 1126 + -1137. Let b(t) = 9*t - 7. Let v(j) = -5*j + 3. What is w*v(s) - 6*b(s)?
s + 9
Let f(o) = -o**2 + 2*o + 2. Let h(j) = -3*j**2 + 7*j + 7. Suppose z + 29 = -4*s - 0*z, 3*z = 5*s + 32. Let g be 3/2 + (-4)/(-8). Determine g*h(a) + s*f(a).
a**2
Let m(f) = -438*f**3 - 9*f**2 + 18*f + 9. Let w(h) = 2*h**3 - h**2 + 2*h + 1. What is -m(a) + 9*w(a)?
456*a**3
Let r be (-5)/((-5)/2) - 1. Let d(b) = -r - 3 + 9 - b. Let t(g) = -8 + g - 6 + 2*g. Give -17*d(x) - 6*t(x).
-x - 1
Let z(j) = 3*j - 3. Let g(q) = q - 1. Give 8*g(y) - 3*z(y).
-y + 1
Let h(z) = 6*z**3 + 2*z**2 - 2*z. Let o(x) = 0*x**2 + x**3 + 12*x**2 - 8*x**2 - 7*x**2 + 3*x - 6*x**3. Determine -6*h(w) - 4*o(w).
-16*w**3
Let j(w) = 46*w**3 + 14*w**2 + 3. Let x(d) = 92*d**3 + 28*d**2 + 5. Calculate -5*j(p) + 3*x(p).
46*p**3 + 14*p**2
Let i be 96/(-51) - (3 + (-245)/85). Let g(m) = 11*m + 11. Let h(o) = -o - 1. What is i*g(r) - 18*h(r)?
-4*r - 4
Let h(g) be the first derivative of -g**4/2 + g**3 - 3*g - 175. Let r(q) = 3*q**3 - 3*q**2 + 4. What is 4*h(s) + 3*r(s)?
s**3 + 3*s**2
Let r(i) = i + 3*i + 0 + 2. Let u(n) = 3*n + 3. Let l(d) be the second derivative of -d**3/6 - 23*d. Let f(c) = -4*l(c) + u(c). Give -3*f(a) + 5*r(a).
-a + 1
Suppose 42*p - 157 = 11. Let b(v) = -v**2 + v. Let c(k) = -3*k**2 + 4*k - 3. Give p*b(s) - c(s).
-s**2 + 3
Let r(f) = 141*f**3 - 6*f**2 + 7. Let u(g) = -281*g**3 + 11*g**2 - 13. What is -11*r(s) - 6*u(s)?
135*s**3 + 1
Let r(y) = -15*y**3 + 7*y**2 - 7*y - 4. Let u(q) = -5*q**3 + 2*q**2 - 2*q - 1. Let l(x) = -50*x - 457. Let h be l(-9). Determine h*u(s) + 2*r(s).
5*s**3 - 1
Let b(s) = -s + 6. Let k(o) = o - 8. Give 5*b(v) + 4*k(v).
-v - 2
Let u(k) = -7*k**2 - 7*k + 13. Let f(z) = z**2 + z - 2. Suppose -4*d = -4*h - 168, -4*d + 7 = -5. Determine h*f(w) - 6*u(w).
3*w**2 + 3*w
Let a(l) be the second derivative of l**3 + 2*l**2 + 769*l. Let b(j) = -5*j - 4. Determine -4*a(r) - 5*b(r).
r + 4
Let r(c) = -3*c**2 + 14*c - 12. Let u(y) = -y**2 + 6*y - 5. What is -2*r(l) + 5*u(l)?
l**2 + 2*l - 1
Suppose 27*s - 2 - 25 = 0. Let n(q) = q**2 - q + 1. Let h(p) = 6*p**2 - 3*p + 3. Calculate s*h(j) - 3*n(j).
3*j**2
Let p(i) = i**2 + 3*i - 5. Let l(y) = 2*y**2 + 5*y - 8. Let w(x) = -3*l(x) + 5*p(x). Let r(h) = -h**2 - 11*h**2 - 2 + 4*h**2. What is r(d) - 2*w(d)?
-6*d**2
Let x(u) = -2 - 9*u + 0 + 0 + 23*u. Let w be (30/(-25))/(1/10). Let k(v) = v. Let s(p) = -p. Let a(z) = -2*k(z) - s(z). Give w*a(j) - x(j).
-2*j + 2
Let l(f) = 4*f**3 - f - 1. Let o(c) = 1. Let q(p) = 24*p - 167. Let d be q(7). What is d*o(z) - l(z)?
-4*z**3 + z + 2
Let m(b) = -2*b**3 - 5*b - 3 + 8*b**3 - 4 - 3*b**3. Let g(d) = -d**3 + d + 1. Give -5*g(r) - m(r).
2*r**3 + 2
Let u(w) = -w. Let l(n) = -n**2 - n + 85. Calculate -l(k) + 3*u(k).
k**2 - 2*k - 85
Let c(s) = -3*s**2 + 3. Let g(z) = -7*z**2 + 4. Let a(t) = 8*t**2 - 4. Let y(l) = 5*a(l) + 6*g(l). Suppose -5*k - 6 - 9 = 0. Give k*y(o) + 4*c(o).
-6*o**2
Let u(b) = 7*b**3 + 243*b**2 - 5*b - 5. Let x(i) = 4*i**3 + 122*i**2 - 3*i - 3. Calculate -3*u(r) + 5*x(r).
-r**3 - 119*r**2
Let y(d) be the third derivative of 1/30*d**5 + 1/8*d**4 - 2*d**2 + 0*d + 0 - 2/3*d**3. Let u(a) = a**2 + 2*a - 3. Give 3*u(s) - 2*y(s).
-s**2 - 1
Let h(q) be the second derivative of -q**5/20 - q**4/3 + q**3 - 2*q**2 + q. Let u(p) = p**2 - p - 8 + 27 - 12 - 6. What is h(x) + 4*u(x)?
-x**3 + 2*x
Let f(t) = -3*t + 10. Let q(b) = 3*b - 12. Calculate -3*f(s) - 4*q(s).
-3*s + 18
Let p(b) be the second derivative of b**3/6 - b**2/2 + 20*b. Let r(s) be the first derivative of 3*s**2 - 6*s - 3. Calculate 4*p(w) - r(w).
-2*w + 2
Suppose -z = -8*h + 765, -2*h + 4*z = -h - 115. Let d(b) = -19*b**3 - 3*b - 3. Let s(x) = -608*x**3 - 95*x - 95. Determine h*d(k) - 3*s(k).
19*k**3
Let d(n) = -6*n - 19. Let z(m) = 5*m + 15. Let b(t) = 4*d(t) + 5*z(t). Let j(c) = -c. Give b(v) + 3*j(v).
-2*v - 1
Let h(l) = -5*l**2 - l + 8. Let g(z) = -4*z**2 - z + 7. Let y = -263 + 267. Give y*g(k) - 3*h(k).
-k**2 - k + 4
Let b(x) = 5*x. Let h(z) = -z. Let j(v) = b(v) + 4*h(v). Let r(p) = -p**3 - 49*p**2 - 4. Let k be r(-49). Let q(d) = 5*d + 2. Give k*j(s) + q(s).
s + 2
Let z(q) = -27*q**3 - 28*q**2 - 7*q + 11. Let i(h) = 14*h**3 + 15*h**2 + 4*h - 6. Determine 11*i(d) + 6*z(d).
-8*d**3 - 3*d**2 + 2*d
Let g(z) = -21*z**2 - 6*z. Let v(y) = 21*y**2 + 5*y. What is -3*g(k) - 4*v(k)?
-21*k**2 - 2*k
Let n(c) = -2*c**3 + 9. Suppose -70*v = 41*v + 469 - 25. Let k(j) = 4*j**3 - 4 - 3*j**3 + 0*j**3. Determine v*n(h) - 9*k(h).
-h**3
Let a(m) = m**2 + 25*m + 145. Let v be a(-16). Let s(u) = -2*u**3 - u**2 - 3*u - 2. Let f(k) = k**3 - k**2 - k - 1. What is v*f(q) - s(q)?
3*q**3 + 2*q + 1
Let p(u) = -77*u**3 + 2*u**2 + 4*u - 3. Let q(t) = t**2 + t - 1. What is p(x) - 3*q(x)?
-77*x**3 - x**2 + x
Let b(y) = 36*y**3 - 9*y**2 + y + 8. Let i(z) = -35*z**3 + 8*z**2 - 6. Determine -2*b(j) - 3*i(j).
33*j**3 - 6*j**2 - 2*j + 2
Let c(o) = 11*o - 11. Let u( | {
"pile_set_name": "DM Mathematics"
} |
776 - 772 for c.
2
Solve 0 = 22*f - 24*f + 8 for f.
4
Solve 17*n - 2 + 2 = 0 for n.
0
Solve 30 = -3*w + 42 for w.
4
Solve 2*m + 3 = -5 for m.
-4
Solve -61*q = -22*q - 195 for q.
5
Solve -13*j + 54 = 5*j for j.
3
Solve 8*l - 21 + 77 = 0 for l.
-7
Solve i - 776 = -96*i for i.
8
Solve 12*z - 26*z = 42 for z.
-3
Solve -4 = 3*b - 13 for b.
3
Solve -243 - 422 = 95*p for p.
-7
Solve 0 = -47*j + 10*j + 148 for j.
4
Solve -11*a = -7*a - 17*a for a.
0
Solve -4*u + 13 = 5 for u.
2
Solve -2*j = -j for j.
0
Solve -6*x = 158 - 176 for x.
3
Solve -6 = -7*t + 4*t for t.
2
Solve 4*v + 16 - 16 = 0 for v.
0
Solve 27*j = 30*j + 6 for j.
-2
Solve -40*h = -42*h + 12 for h.
6
Solve 6*u - 38 + 50 = 0 for u.
-2
Solve 1 + 43 = 11*m for m.
4
Solve t - 6*t = 10 for t.
-2
Solve 0 = 8*j - 35 + 59 for j.
-3
Solve 0 = 70*h + 4*h - 518 for h.
7
Solve -9*d + 36 = -9 for d.
5
Solve y - 10 = -5 for y.
5
Solve 6*p - 12 = 6 for p.
3
Solve -26*d + 64 = -10*d for d.
4
Solve -9*r + 13*r - 20 = 0 for r.
5
Solve 9*m - m = -20*m for m.
0
Solve -17*i - 104 + 172 = 0 for i.
4
Solve -8*f + 10 = 34 for f.
-3
Solve -7 = 12*l + 29 for l.
-3
Solve -6 = 4*t - 10*t for t.
1
Solve 8 = 72*b - 76*b for b.
-2
Solve 125 + 91 = -108*p for p.
-2
Solve -79*j + 97*j - 54 = 0 for j.
3
Solve 9 = -20*l + 9 for l.
0
Solve 0*h = 10*h - 6*h for h.
0
Solve -5*f + 10 = -3*f for f.
5
Solve -397*r = -392*r + 15 for r.
-3
Solve -44*p + 30*p = -42 for p.
3
Solve 2*k + 2*k + 12 = 0 for k.
-3
Solve 12 + 0 = 6*z for z.
2
Solve -d + 4*d = 0 for d.
0
Solve 1505 - 1521 = -4*h for h.
4
Solve 1812 - 1902 = 9*u for u.
-10
Solve 9*i + 64 = 25*i for i.
4
Solve 0 = 9*y - 15 + 6 for y.
1
Solve -9*z + 68 + 13 = 0 for z.
9
Solve 0 = 11*l + 116 - 6 for l.
-10
Solve 0 = 24*f - 41*f + 85 for f.
5
Solve 0 = 5*w + 7 + 8 for w.
-3
Solve 4*d = -656 + 640 for d.
-4
Solve -21*x + 10*x + 55 = 0 for x.
5
Solve k - 12*k = 44 for k.
-4
Solve -7*d + 19 = -16 for d.
5
Solve -31*d - 488 = -364 for d.
-4
Solve 0 = -7*j - 40 + 5 for j.
-5
Solve 0 = 77*s + 130 + 332 for s.
-6
Solve 0 = 5*n + 16 + 9 for n.
-5
Solve 24 + 28 = -13*d for d.
-4
Solve 10*b - 20*b - 10 = 0 for b.
-1
Solve -3*a + 10 = 25 for a.
-5
Solve 200 = 13*w + 12*w for w.
8
Solve 0 = 58*a - 66*a + 16 for a.
2
Solve 53*i = 410 - 92 for i.
6
Solve 3 = -7*o - 32 for o.
-5
Solve 22*l = -52 + 74 for l.
1
Solve -13*j - 2697 + 2788 = 0 for j.
7
Solve -4*x + 30 = 34 for x.
-1
Solve 975*c = 985*c for c.
0
Solve 29*j - 7*j = -2*j for j.
0
Solve 0 = -4*o + 2*o + 8 for o.
4
Solve -27*f - 6 = -21*f for f.
-1
Solve 64 = 21*x - 37*x for x.
-4
Solve 11*t - 184 = 57*t for t.
-4
Solve -72*k - 22*k = -188 for k.
2
Solve 0 = -7*h - 9*h - 48 for h.
-3
Solve -169*n + 3 = -168*n for n.
3
Solve -2 = -5*y + 3*y for y.
1
Solve 45*w - 40*w = -40 for w.
-8
Solve 6*s = 7 + 5 for s.
2
Solve -94*m - 4 = -95*m for m.
4
Solve -38*m = 127 - 89 for m.
-1
Solve 0 = -74*h + 68*h + 30 for h.
5
Solve v = -v - 8 for v.
-4
Solve 0*g + 6*g = 24 for g.
4
Solve 126 - 144 = -3*l for l.
6
Solve 14*w + 11 = 39 for w.
2
Solve 18*u = -48 + 138 for u.
5
Solve -29 = -4*a - 9 for a.
5
Solve 42*f - 129 + 3 = 0 for f.
3
Solve -33*b + 71 + 28 = 0 for b.
3
Solve -336 = 4*v + 38*v for v.
-8
Solve -39 = -18*y + 31*y for y.
-3
Solve -57*d - 97 = 74 for d.
-3
Solve 38*y - 206 = -16 for y.
5
Solve 30 = o + 27 for o.
3
Solve 69*j - 52*j = 51 for j.
3
Solve -18 = 452*g - 449*g for g.
-6
Solve 0 = -12*f + 22*f + 20 for f.
-2
Solve -18 = -6*t - 0 for t.
3
Solve -79*p = -81*p - 4 for p.
-2
Solve 4*g - 112 = -96 for g.
4
Solve -66*f = -43*f + 230 for f.
-10
Solve -122 = -56*c - 10 for c.
2
Solve -36 = -17*p - 104 for p.
-4
Solve -c + 7 - 4 = 0 for c.
3
Solve 9*y - 3*y = 0 for y.
0
Solve 10*k + 4 = 4 for k.
0
Solve 11*w = 18*w + 14 for w.
-2
Solve 0 = -2*o + 1 + 9 for o.
5
Solve 0 = -4*j - 61 + 41 for j.
-5
Solve -24*m = -203 + 59 for m.
6
Solve -2*a - 4 = 2 for a.
-3
Solve -249 = -38*u + 17 for u.
7
Solve -15 = -27*z + 12 for z.
1
Solve -l - 3 = -1 for l.
-2
Solve 0 = 84*u - 89*u for u.
0
Solve -58*r + 54*r + 16 = 0 for r.
4
Solve -59*s + 66*s = 7 for s.
1
Solve 0 = 8*u + 1 + 7 for u.
-1
Solve 23*o + 120 = -o for o.
-5
Solve 0 = -15*i + 17*i + 2 for i.
-1
Solve -51*w + 5*w = 138 for w.
-3
Solve 18*f - 22*f = -16 for f.
4
Solve 0 = 12*x + 163 - 115 for x.
-4
Solve -77*r + 64*r + 104 = 0 for r.
8
Solve -342 = 96*l - 58*l for l.
-9
Solve 0 = -10*n - 354 + 324 for n.
-3
Solve -44*x + 50*x - 24 = 0 for x.
4
Solve 44*b - 218 = 178 for b.
9
Solve -179*v = -166*v + 91 for v.
-7
Solve 65*w = 68*w - 12 for w.
4
Solve 0 = -125*y - 869 - 381 for y.
-10
Solve -237 = -5*d - 217 for d.
4
Solve 9*q + 44 = 8 for q.
-4
Solve -3103*c + 10 = -3101*c for c.
5
Solve 89*c - 87*c = 6 for c.
3
Solve -380 = 2*j - 374 for j.
-3
Solve -55*i - 68 = 207 for i.
-5
Solve -543*q + 540*q = -6 for q.
2
Solve 19 + 81 = 50*b for b.
2
Solve 13*h = 7*h + 6 for h.
1
Solve -b = 5*b - b for b.
0
Solve 1 = -90*t + 89*t for t.
-1
Solve -742 = 5*g - 757 for g.
3
Solve -23*x - 127 + 81 = 0 for x.
-2
Solve -14*f + 16*f - 4 = 0 for f.
2
Solve 40*m = -m - 246 for m.
-6
Solve j + 3*j = -4 for j.
-1
Solve 13*w + 777 = 881 for w.
8
Solve 22*y + 24 = 34*y for y.
2
Solve 2*a = -81 + 77 for a.
-2
Solve 0 = 54*x - 58*x - 12 for x.
-3
Solve -95*v = -99*v - 20 for v.
-5
Solve 6*g + 14 = 13*g for g.
2
Solve 14 = -5*j - 11 for j.
-5
Solve -820*w + 808*w - 96 = 0 for w.
-8
Solve 7*y = 13*y - 24 for y.
4
Solve -1 = 24*v - 23*v for v.
-1
Solve 2*u + 18 = -7*u for u.
-2
Solve -16*s + 8*s - 64 = 0 for s.
-8
Solve -29*n + 6 = -23 for n.
1
Solve -19*n = -6*n + 13 for n.
-1
Solve -7*o = 2 - 30 for o.
4
Solve 0 = 3420*h - 3426*h + 18 for h.
3
Solve 24*n - 105 = 63 for n.
7
Solve 20*z - 31 - 9 = 0 for z.
2
Solve 13 = -4*n + 17*n for n.
1
Solve 12 = -7*c + 11*c for c.
3
Solve -219 = -77*q + 397 for q.
8
Solve 0*v + 12 = -2*v for v.
-6
Solve 0*v - 5*v + 10 = 0 for v.
2
Solve 0 = 5*z - 5 - 20 for z.
5
Solve 0 = 948*c - 958*c + 80 for c.
8
Solve 16*l = 12*l - 12 for l.
-3
Solve 0 = -84*f - 70 - 14 for f.
-1
Solve 62*q - 68*q - 24 = 0 for q.
-4
Solve 125 + 37 = -27*g for g.
-6
Solve 6*c - 8 - 10 = 0 for c.
3
Solve 3 = -7*r - 11 for r.
-2
Solve -216*z + 226*z = 50 for z.
5
Solve 0 = 14*m + 21 - 35 for m.
1
Solve -256 - 8 = 33*y for y.
-8
Solve -6*z - 79 = -49 for z.
-5
Solve -14*h = 111 - 69 for h.
-3
Solve -16*g - 15 = -11*g for g.
-3
Solve 5*d = 133 - 118 for d.
3
Solve 1 = 2*c + 9 for c.
-4
Solve -17*t - 3 = -18*t for t.
3
Solve 9*b - 30 = 15 for b.
5
Solve 0 = 10*h - 1164 + 1094 for h.
7
Solve -25*m = -8*m - 85 for m.
5
Solve 22 = -4*u + 6 for u.
-4
Solve -354 = 8*a - 410 for a.
7
Solve -2*x + 5*x = 12 for x.
4
Solve 0 = -6*x - 11*x + 17 for x.
1
Solve 54*a + 12 = 50*a for a.
-3
Solve -14*o - 64 = 2*o for o.
-4
Solve 2*h - 38*h = -252 for h.
7
Solve 407*n - 412*n = 30 for n.
-6
Solve -33*j - 72 = -9*j for j.
-3
Solve 120 = 20*t + 10*t for t.
4
Solve -445*v + 436*v = -45 for v.
5
Solve -15 = 6*c + 15 for c.
-5
Solve -112*t + 10 = -117*t for t.
-2
Solve 0 = 2*t + 575 - 563 for t.
-6
Solve -216 = -32*u - 4*u for u.
6
Solve -339 + 309 = -6*t for t.
5
Solve 8 = -f + 7 for f.
-1
Solve -3*k - 16 = -7*k for k.
4
Solve 167 + 58 = -45*p for p.
-5
Solve 5*y - 2*y - 6 = 0 for y.
2
Solve 79 = 15*y + 4 for y.
5
Solve 23*f = 42*f + 152 for f.
-8
Solve 0 = 3*t - 4 + 13 for t.
-3
Solve 8*p + 8 = -0 for p.
-1
Solve 11 = -6*x - 43 for x.
-9
Solve -108 = 6*y - 126 for y.
3
Solve 36*j - j = -105 for j.
-3
Solve 28 = -w + 27 for w.
-1
Solve 12*h = 7*h + 5 for h.
1
Solve 13*f - 1987 + 1987 = 0 for f.
0
Solve 142*w - 135*w - 21 = 0 for w.
3
Solve 9*p = -7*p - 16 for p.
-1
Solve -26*t + 128 = -54 for t.
7
Solve z - 2 - 1 = 0 for z.
3
Solve 8*v + 0 + 8 = 0 for v.
-1
Solve 30*o - 8*o + 154 = 0 for o.
-7
Solve -327*w + 15 = -324*w for w.
5
Solve 0 = o - 6 + 8 for o.
-2
Solve 3 + 29 = -8*u for u.
-4
Solve 36*r + 2 = 110 for r.
3
Solve 0 = 6*y - y - 20 for y.
4
Solve 0 = -3*h - 5*h + 48 for h.
6
Solve 2*j - 28 = 9*j for j.
-4
Solve -5 = 3*z + 4 for z.
-3
Solve -4*t + 71 = 55 for t.
4
Solve -15*r + 36*r = 84 for r.
4
Solve 23*s - 11*s = 12 for s.
1
Solve 76*m = 81*m + 5 for m.
-1
Solve -2*p - 5 = -13 for p.
4
Solve 0 = 3*a - 4 - 11 for a.
5
Solve -30*t + 39 = -51 for t.
3
Solve -5*h + 14 = 2*h for h.
2
Solve 0 = 5*k + 12 + 3 for k.
-3
Solve 10 = | {
"pile_set_name": "DM Mathematics"
} |
-3*h(b) - 35*w(b).
60*b - 5
Let w(o) = -11*o**3 - 7*o**2 - 5. Let n(d) = 6 - 4*d**2 - 9 + 49*d**3 - 3 - 59*d**3 - 4*d**2. What is -5*n(q) + 6*w(q)?
-16*q**3 - 2*q**2
Let o(t) = 30*t**3 - 10*t**2 + 3. Let u(f) = 28*f**3 - 8*f**2 + 2. Give 4*o(w) - 5*u(w).
-20*w**3 + 2
Let j(v) = -7*v**2 - 5565*v + 6. Let s(w) = -10*w**2 - 5563*w + 9. Give -3*j(d) + 2*s(d).
d**2 + 5569*d
Let n(t) = -t**3 - t**2 - t. Let c(l) = -20*l**3. Let y(b) = -b**2 + 65*b + 585. Let k be y(-8). Give k*c(i) + 2*n(i).
-22*i**3 - 2*i**2 - 2*i
Let v(a) = 4788*a. Let z(f) = 2390*f. Give -2*v(p) + 5*z(p).
2374*p
Let k(q) = 10529495*q**2 + 17185*q + 257775. Let t(h) = 2451*h**2 + 4*h + 60. What is -4*k(f) + 17185*t(f)?
2455*f**2
Let l(q) = 3*q + 11. Let r be l(6). Let u(z) = -55 + 23 - 3*z + z + r. Let h(y) = -1. What is -2*h(k) + u(k)?
-2*k - 1
Let q(k) = -2*k**2 - 4*k - 4. Let x(i) be the first derivative of -i**3/3 - i**2/2 + i + 95. Let v = 124 - 125. Calculate v*q(h) + 4*x(h).
-2*h**2 + 8
Let g(f) = 8*f**2 - 8*f + 37. Let v(z) be the first derivative of -z**3 + 3*z**2/2 - 12*z + 5237. Calculate 4*g(r) + 11*v(r).
-r**2 + r + 16
Let g be 2/(2*5/90). Suppose 2*y + g*y - 100 = 0. Let z(n) = 3*n**3 - 2*n. Let r(v) = 6*v**3 - v**2 - 5*v + 1. Calculate y*z(d) - 2*r(d).
3*d**3 + 2*d**2 - 2
Let w(q) = 6*q**3 - 43*q**2 + 35*q - 192. Let i be w(7). Let o(f) = -1 - 2*f - 2 - f - 2*f**2. Let u(k) = 4*k**2 + 7*k + 7. What is i*u(n) + 9*o(n)?
-2*n**2 + n + 1
Let c(w) = 200*w - 24. Let z(x) = 399*x - 55. Determine -14*c(y) + 6*z(y).
-406*y + 6
Let u(c) = -4*c - 2. Let n(z) = -5*z - 1. Let i be (-5 + 4/20*21)*-5. Give i*u(q) - 3*n(q).
-q - 5
Let x(w) = -68*w**3 + 9*w**2 - 3*w - 12. Let a(f) = -2*f**3 + f + 4. Determine 3*a(k) + x(k).
-74*k**3 + 9*k**2
Suppose 28*o = 15*o - 10*o + 115. Let a = -24 - -22. Let h(f) = 7*f**3 - 2*f**2 - 2*f. Let i(d) = 14*d**3 - 5*d**2 - 5*d. Determine a*i(u) + o*h(u).
7*u**3
Let m(p) = -119*p**2 - 10*p + 12. Let z(q) = 236*q**2 + 21*q - 26. Give -13*m(v) - 6*z(v).
131*v**2 + 4*v
Let y(k) be the third derivative of -k**4/24 + k**3/6 + k**2. Let i(t) be the first derivative of 2*t**2 - 6*t + 1926. What is 3*i(m) + 15*y(m)?
-3*m - 3
Let t = -3778 - -3771. Let x(c) = c - 46. Let r(w) = -3*w + 139. Give t*x(u) - 2*r(u).
-u + 44
Let p(d) = -17*d**2 + 2*d - 1. Let y(f) = -104*f**2 + 6*f - 8. Determine -13*p(r) + 2*y(r).
13*r**2 - 14*r - 3
Let v(u) = 11*u**3 + 51*u**2 - 1019*u + 6. Let o(l) = -4*l**3 - 18*l**2 + 339*l - 2. Calculate -17*o(i) - 6*v(i).
2*i**3 + 351*i - 2
Let p(i) = -15*i**3 + 11*i**2 - 7*i - 23. Let r(b) = 4*b**3 - 3*b**2 + 2*b + 6. Let s = 1739 - 1761. What is s*r(o) - 6*p(o)?
2*o**3 - 2*o + 6
Let o(g) = -26*g**3 + 17*g**2 - 17*g + 507. Let h(v) = 9*v**3 - 6*v**2 + 6*v - 169. Determine -17*h(y) - 6*o(y).
3*y**3 - 169
Let f(p) = 4*p**3 - 3*p**2 - 11. Suppose 26*s + 14*s - 54*s = 14. Let c(h) = h**3 - h**2 + 1. Determine s*f(v) + 3*c(v).
-v**3 + 14
Let m(c) = -373*c**3 - 5*c**2 + 5*c - 5. Let b(q) = -376*q**3 - 3*q**2 + 6*q - 6. What is 5*b(x) - 6*m(x)?
358*x**3 + 15*x**2
Let o(q) = -1372*q**3 + 8*q**2 + 4*q. Let d(v) = 19209*v**3 - 114*v**2 - 57*v. Determine 4*d(l) + 57*o(l).
-1368*l**3
Let y(m) = 2*m**3 - m**2 + 22*m - 2. Let b(q) = 3256*q**3 + 33*q**2 - 726*q + 66. Give b(p) + 33*y(p).
3322*p**3
Suppose h + d = 135 - 114, -2*h + d + 18 = 0. Let t(v) = -63*v + 2. Let o(a) = 31*a - 1. What is h*o(f) + 6*t(f)?
25*f - 1
Let x(y) = -2*y + 5. Let t(r) = 370*r - 16. Determine -2*t(h) - 6*x(h).
-728*h + 2
Let w = -29 - -16. Let r = 6 + w. Let k(d) = -2*d + 4*d**3 - 155*d**2 + d**3 + 309*d**2 - 150*d**2. Let p(s) = 9*s**3 + 7*s**2 - 3*s. Give r*k(b) + 4*p(b).
b**3 + 2*b
Let u be (8/32)/(1/4). Let y(j) = 0*j - 3*j - 4*j + u + 9*j. Suppose 6*t - 33 = 3*t. Let i(m) = -4*m - 2. Calculate t*y(h) + 6*i(h).
-2*h - 1
Let c(x) = 9*x + 396. Let v be c(-43). Let o(q) = 3*q**3 - q**2 - q + 4. Let i(j) = 5*j**3 - 2*j**2 - 3*j + 9. Determine v*o(w) - 4*i(w).
7*w**3 - w**2 + 3*w
Let q = -482 + 495. Let l(w) = q*w - 8*w - 11*w. Let h(n) = -n. What is 5*h(d) - l(d)?
d
Let y(r) = -14*r**2 - 15*r + 114. Let x(l) = 31*l**2 + 31*l - 230. Determine 4*x(h) + 9*y(h).
-2*h**2 - 11*h + 106
Let b(k) = -51. Let a(m) = 5*m - 320. Calculate -a(y) + 10*b(y).
-5*y - 190
Let b(i) = -3*i**2 + 2. Let l(z) be the third derivative of -1/30*z**5 + 51*z**2 + 0*z**4 + 1/2*z**3 + 0*z + 0. What is 5*b(d) - 4*l(d)?
-7*d**2 - 2
Let m(n) = 158*n**2 + 43*n - 4. Let t(a) = a**2 + 7*a - 1. Calculate -m(o) + 6*t(o).
-152*o**2 - o - 2
Let x(g) = 3*g - 2. Let i(f) = -41*f**2 - 12*f + 3. Calculate i(c) + 3*x(c).
-41*c**2 - 3*c - 3
Let d(l) = 20*l**2 - 26*l + 5. Let c(q) = 7*q**2 - 8*q + 2. Let w(s) = 7*c(s) - 2*d(s). Let k(x) = x**2 + x - 1. Determine -4*k(g) - w(g).
-13*g**2
Let g(h) = -5*h**2 - 39*h - 6. Let y(a) = 5*a + 1. Calculate 2*g(p) + 10*y(p).
-10*p**2 - 28*p - 2
Let t(s) = 17*s + 3. Let d(x) = 17*x - 1. Determine 5*d(c) - 4*t(c).
17*c - 17
Let w(t) = -10029*t + 273. Let s(n) = 528*n - 14. Calculate -117*s(k) - 6*w(k).
-1602*k
Let j(k) = k**3 - k + 1. Let t(v) be the first derivative of -2*v**4 - 7*v**3/3 + 3*v**2 - 6*v + 5554. What is -6*j(w) - t(w)?
2*w**3 + 7*w**2
Let n(m) = -m. Let f(v) = -2*v. Suppose 5*u + 21 = 3*l, -2*u + 3 = -5*l - 0. Let w be 1 - (9 - 38/4)*8. Determine u*n(j) + w*f(j).
-4*j
Let g(z) = 13*z + 2. Let h(f) = -7*f - 1. Let o be ((-1)/(-2))/(12/264). Suppose 287*y + o = 286*y. Calculate y*h(v) - 6*g(v).
-v - 1
Let p(i) = -4*i + 1. Suppose -3*g = 0, -4*g + 405 = 3*n - 5*g. Suppose 28*d - n = 13*d. Let z(a) = 17*a + 0 - 2 - 2. What is d*p(s) + 2*z(s)?
-2*s + 1
Let o(f) = 26*f**3 - 3*f - 5. Suppose 72 = -64*a + 328. Let m(l) = -13*l**3 + l + 2. Give a*o(v) + 10*m(v).
-26*v**3 - 2*v
Let i(d) = 4*d + 1. Suppose 0*a + 5*y = -a + 43, 5*a - 215 = -5*y. Suppose 15 = -4*j + a. Let b = -17 + j. Let v(k) = 7*k + 2. Calculate b*i(n) + 6*v(n).
2*n + 2
Let v(i) be the first derivative of -2*i**3/3 - 5*i**2/2 + i - 540. Let c(l) = 2*l**2 + 4*l - 1. Give -3*c(w) - 2*v(w).
-2*w**2 - 2*w + 1
Let m = 88 + -86. Let r be 1/(2/(-305)*(-1)/m). Let y(b) = -305 - 5*b + r. Let v(i) = -21*i. Give 2*v(w) - 9*y(w).
3*w
Let o(m) = 7*m**3 + 9*m**2 - 6*m + 6. Let g(d) = -d**3 - 2*d**2 + d. Let a(c) = -2*c**3 + c - 5. Let t(q) = a(q) + 4*g(q). Give 5*o(n) + 6*t(n).
-n**3 - 3*n**2
Let u(h) = 857*h**2 - 223*h**2 + h - 635*h**2. Let r(j) = -25*j**2 + 6*j - 2. Calculate -r(b) + 5*u(b).
20*b**2 - b + 2
Let s(k) = -34*k**3 - 91*k**2 + 12*k. Let f(d) = 35*d**3 + 73*d**2 - 12*d. What is 5*f(r) + 4*s(r)?
39*r**3 + r**2 - 12*r
Let q = 25135 - 25157. Let o(j) = 36*j + 11. Let l(v) = -3*v + 2 + 7*v + 3*v. Calculate q*l(g) + 4*o(g).
-10*g
Let t(f) = 2*f**2 + 7*f - 7. Let y = 449/5484 - -2/1371. Let i(x) be the second derivative of -9*x - 2*x**2 + 2/3*x**3 + y*x**4 + 0. What is -5*i(z) + 3*t(z)?
z**2 + z - 1
Let d(x) = 2*x**3 - x**2 + 2*x + 1. Let g(t) = -29*t**3 + 13*t**2 - 10*t - 6. Calculate -5*d(c) - g(c).
19*c**3 - 8*c**2 + 1
Let b(o) = -17*o**2 + 6*o + 19. Let y(m) = m**2 - 2*m - 6. Determine -b(q) - 4*y(q).
13*q**2 + 2*q + 5
Let y(c) = c**3 - c + 3. Let o(j) be the third derivative of -j**5/60 - j**4/24 + j**3/6 + j**2. Let b = -131931 - -131930. Determine b*o(f) + y(f).
f**3 + f**2 + 2
Let k(p) = p + 1. Let f(s) = 10*s**2 + 6*s + 2. Let w be f(-2). Suppose 0 = -13*h + 7*h - w. Let c(l) = 2*l**2 + 6*l + 5. Determine h*k(n) + c(n).
2*n**2 + n
Let w(y) = -1. Let z(k) = 57*k + 114. Let a(r) = r**2 + 69*r + 1159. Let m be a(-29). Calculate m*z(d) - 114*w(d).
-57*d
Let m(j) = 13*j**2 + 21*j - 6. Let t(b) = -31*b**2 - 46*b + 12. Determine -9*m(i) - 4*t(i).
7*i**2 - 5*i + 6
Suppose 24 = -2*b + 4*f + 22, -3*b = 4*f - 27. Let x(q) = 4*q**3 - 2*q**2 + 6*q - 2. Let s(c) = -8*c**3 + 5*c**2 - 13*c + 5. Give b*x(a) + 2*s(a).
4*a**3 + 4*a
Let f(s) = 7249*s - 227. Let y(x) = 5178*x - 160. Determine 12*f(t) - 17*y(t).
-1038*t - 4
Let a(d) = 2*d**2 + d - 1. Let r(q) = 47086*q**2 + 25354*q - 25354. Give -50708*a(f) + 2*r(f).
-7244*f**2
Let b(l) = 2*l**3 + l**2 - 2*l. Let m(w) = -26*w**3 + 1540*w**2 + 24*w - 2. Calculate 12*b(h) + m(h).
-2*h**3 + 1552*h**2 - 2
Let l(f) = 4*f + 3. Let h(t) be the first derivative of -13*t**2/2 - 8*t - 3882. Give -6*h(z) - 17*l(z).
10*z - 3
Let x(f) = -2*f - 18. Let c(n) = 2*n**2 - 62*n + 63. What is c(g) | {
"pile_set_name": "DM Mathematics"
} |
/4 (f) 18
d
Which is the sixth biggest value? (a) -3/4 (b) 0.5 (c) -3/11 (d) -6 (e) 2/3 (f) -1/3
d
Which is the fourth biggest value? (a) 0.3 (b) 4.4 (c) 5/2 (d) -4 (e) 4 (f) 29
c
Which is the fourth smallest value? (a) -0.4 (b) -4/717 (c) 0.1 (d) 4 (e) 55
d
What is the biggest value in -0.6, 5, 157?
157
What is the second smallest value in 1/4, -88, 2, -2/7?
-2/7
What is the biggest value in -1, 2, 5, -3/2, -2/45?
5
Which is the third smallest value? (a) 0 (b) 3 (c) 111/14
c
What is the biggest value in -9, -1/6, 3, 1617?
1617
Which is the fourth biggest value? (a) 214/5 (b) -2 (c) -3 (d) -5
d
What is the smallest value in -510, 2/9, -3/11?
-510
What is the fourth smallest value in 1.3, -2/9, -79.4, -1/2, -3/8?
-2/9
What is the third biggest value in -2, 2/7, -0.2, -1, 0.421, -1/10?
-1/10
What is the biggest value in 3/7, -72, -1, 0.9, -2, 4?
4
What is the third biggest value in -3/2, 0, 1, -0.044?
-0.044
Which is the smallest value? (a) 3/5 (b) -3 (c) 40343
b
Which is the second smallest value? (a) -729 (b) 12 (c) 26
b
What is the fifth smallest value in 4, -2, 15, 0, 0.2?
15
Which is the third smallest value? (a) 0.4 (b) 53/7 (c) 4 (d) -3/25 (e) -0.03
a
Which is the third biggest value? (a) -0.06 (b) -0.1 (c) -6 (d) 8/7 (e) 5/2 (f) 1/2
f
Which is the third smallest value? (a) -4 (b) -97 (c) -275
a
Which is the second smallest value? (a) -90 (b) 7 (c) -1/4 (d) -1/8
c
Which is the fifth biggest value? (a) -2/135 (b) -2 (c) 6 (d) -2/3 (e) 1
b
Which is the biggest value? (a) -8/7 (b) 0.5 (c) -2646 (d) -3 (e) 1
e
Which is the biggest value? (a) -170 (b) 14 (c) -3/4 (d) 5 (e) 0.4
b
Which is the second biggest value? (a) 9/14 (b) -1.8 (c) -729 (d) 2/17
d
What is the biggest value in 0.2, -0.3, -371, -2, 5, 0.06?
5
What is the smallest value in 6, -8074, -2?
-8074
What is the fifth biggest value in 2, -5, -4, 622/11, 10/7?
-5
What is the smallest value in 4, 2/9, -0.069?
-0.069
What is the second biggest value in 1/60, 0.4, -1.4, 0.17?
0.17
Which is the fifth biggest value? (a) -17205 (b) 0 (c) -2/27 (d) 4 (e) 5
a
What is the smallest value in -16, -3, 1, -477, 0.1?
-477
Which is the fourth smallest value? (a) 0.2 (b) -0.5 (c) 0 (d) 0.01118
a
What is the fourth biggest value in -5, -0.1, -3/2, -2/99?
-5
What is the fourth smallest value in 1/8, -0.33, -0.2, 0, 52/9?
1/8
Which is the fourth biggest value? (a) 2/3 (b) 2 (c) 5 (d) 0.06 (e) 2/7 (f) 4
a
Which is the third smallest value? (a) 1190 (b) -0.1 (c) 4 (d) 0.1
c
Which is the third smallest value? (a) 4 (b) -1 (c) -4 (d) -41 (e) 3/16
b
Which is the third biggest value? (a) 0 (b) 0.06 (c) 1.56 (d) 0.14 (e) 4
d
What is the second smallest value in -17.393, -1, 2?
-1
What is the biggest value in -0.007, -1, 418?
418
Which is the third smallest value? (a) -0.1407 (b) 8.2 (c) 3
b
Which is the second smallest value? (a) -146 (b) 4/7 (c) -0.4 (d) -53 (e) 0 (f) 5/3
d
What is the fifth biggest value in -3, -1/2, -4/49, 2, -1?
-3
What is the second biggest value in -2/5, 12, 38, 13?
13
Which is the third smallest value? (a) -0.5 (b) 3 (c) 1.8 (d) -113/1683
c
What is the fifth smallest value in 3.9, 2, -5, 0, -17.1?
3.9
What is the third smallest value in 0.3, 60, -1/83, -0.2, 0, 4?
0
What is the fifth smallest value in -1, 0, -43/9, -0.5, 2/7, -10/7?
0
Which is the third smallest value? (a) -0.4 (b) 11 (c) 2/21 (d) -1 (e) -37
a
What is the second smallest value in -145.5, 0, -0.5, -3/2?
-3/2
What is the smallest value in -0.1, -0.2, 5, 2/391?
-0.2
What is the third smallest value in -1, 19, 1.28, 2/7, 3/7, 3/8?
3/8
What is the biggest value in -0.2, -0.026, 10?
10
Which is the third biggest value? (a) 0.1 (b) 5 (c) 16.8 (d) -1.4
a
What is the fifth biggest value in 2/9, -0.5, -4, -11, 7.72?
-11
What is the fourth smallest value in 7.61, 1, 5, -0.25, 1/4?
5
Which is the fourth smallest value? (a) -1/10 (b) 236 (c) 550 (d) 0.4 (e) -2/5 (f) -1
d
Which is the second smallest value? (a) 2/19 (b) -69.2 (c) 4 (d) -3
d
What is the fourth biggest value in -26, 1/4, 0.2, 4/95?
-26
What is the second biggest value in -18, -4/23, 0.2, -64, -0.08?
-0.08
Which is the second biggest value? (a) -7 (b) -2/3 (c) -53/4 (d) 3
b
What is the second smallest value in 0.1, 3, -0.016319?
0.1
What is the smallest value in 0.1, -2/9, -0.1961?
-2/9
What is the smallest value in -47, -2/9, -1, 1/4, -0.4?
-47
Which is the fourth biggest value? (a) 13 (b) 9.1 (c) 2/11 (d) -1
d
What is the sixth smallest value in 2/3, -60, -2, 1, 0, -2/7?
1
What is the fourth biggest value in -7, -134, 5, 4?
-134
Which is the fifth smallest value? (a) 8 (b) -2 (c) -5 (d) -179 (e) 0.1
a
Which is the fifth biggest value? (a) 46 (b) 4 (c) -1/4 (d) -48 (e) 1/2
d
Which is the second smallest value? (a) 5 (b) -1 (c) 2/1959 (d) -155
b
What is the third biggest value in -1.245, -0.3, 0.091?
-1.245
What is the fourth biggest value in 1/2, -112.28, -5, -3, 2?
-5
Which is the third smallest value? (a) -3 (b) -1/21 (c) 1/258 (d) 0.3 (e) 3/7 (f) 1
c
What is the third biggest value in 1/421, -6, -2/3, 3?
-2/3
What is the second smallest value in 0.2, -7, -0.5, -10, -9.6?
-9.6
What is the second smallest value in -2.46, 3, 0.5, -3, -44, 0.1?
-3
What is the fourth smallest value in -5, -2/3, -1, 91, -7.49?
-2/3
Which is the fifth smallest value? (a) 5 (b) 3 (c) 0.5 (d) 3/488 (e) -2/11 (f) -4
b
What is the fifth biggest value in 0, -3, 2, 0.5, 5.65, 4?
0
What is the second biggest value in -1/99, -2, 0.581?
-1/99
Which is the second smallest value? (a) -188 (b) -4 (c) 0.1 (d) 14
b
What is the smallest value in 0.2, 0.4, 0.003, -0.3, 4, -10?
-10
Which is the second biggest value? (a) 1/2 (b) -21 (c) -238
b
What is the second smallest value in 0.07, -3, 152/5, -5?
-3
Which is the third smallest value? (a) 2 (b) -471 (c) -1.079
a
What is the biggest value in -0.172, -3, 18/5, 16?
16
Which is the third biggest value? (a) 1/2 (b) -1/4 (c) 11 (d) -0.1
d
Which is the smallest value? (a) -6 (b) 4 (c) 1/22
a
What is the smallest value in -8/3, -1/4, 0.1, 2/9, 4, 3/4?
-8/3
Which is the biggest value? (a) 3/2 (b) 30 (c) -116 (d) 2
b
Which is the third biggest value? (a) 2 (b) 0.0253 (c) 38
b
Which is the third smallest value? (a) -2 (b) -2/17 (c) 1/2534 (d) -4
b
Which is the second biggest value? (a) 4 (b) -283 (c) -4 (d) 1 (e) 0 (f) 4/3
f
What is the third smallest value in -1/3, -3/2, 0, -20/3, -4/5, -1/35?
-4/5
What is the smallest value in 670/11, -5, -29?
-29
What is the second biggest value in 2/5, -1.7, 1/136, 1/6, -2/3?
1/6
Which is the second smallest value? (a) -10 (b) 1/11 (c) 0.75 (d) 1 (e) 0.1
b
Which is the smallest value? (a) -3 (b) -5/4 (c) 7 (d) -5 (e) -0.1 (f) -1/100
d
Which is the smallest value? (a) 0.2 (b) -0.5 (c) -1/3 (d) 0.5 (e) -42
e
Which is the fourth biggest value? (a) -34.2 (b) -0.7 (c) -1/2 (d) 0.07
a
Which is the second smallest value? (a) -0.4 (b) 1 (c) 1/8 (d) -0.04 (e) -10
a
What is the fourth biggest value in -5, 3, 2052, -0.2, 58?
-0.2
What is the smallest value in 2, 28.9, -4, 1/3, -11?
-11
What is the second smallest value in -4/19, 1/2, 32, 2/21?
2/21
Which is the second smallest value? (a) -2/13 (b) 2/17 (c) -0.1 (d) -0.0927
c
Which is the third biggest value? (a) 0.23 (b) -1 (c) -0.4 (d) -1.085
b
What is the fifth smallest value in -129, -1/3, 4, 0, -2/15, 0.2?
0.2
Which is the fifth smallest value? (a) 8 (b) 6 (c) 5 (d) 0.3 (e) -3
a
What is the fourth biggest value in -64, 12/5, 0, -1/6, -10?
-10
What is the second smallest value in -49, -0.0983, 2?
-0.0983
Which is the third smallest value? (a) 1/2 (b) -0.273 (c) -5 (d) -4 (e) 0.06
b
Which is the third biggest value? (a) -1/2 (b) -1 (c) -32 (d) 2/33 (e) -7/4
b
Which is the biggest value? (a) 21 (b) -365 (c) 1/3 (d) -4 (e) 0.4
a
What is the second smallest value in -0.67, -0.067, -49?
-0.67
What is the fourth biggest value in 0.09, -6, -4, 0.168, -2/15?
-4
What is the third biggest value in 7, 28.694, -1?
-1
What is the smallest value in -7, 0.1, 579, -0.3?
-7
Which is the third smallest value? (a) 0.4 (b) -1/3 (c) -2 (d) -117 (e) -5/ | {
"pile_set_name": "DM Mathematics"
} |
w. Is w a multiple of 4?
True
Let b(s) = -s**2 - 6*s + 2. Let f be b(-6). Is (13/4)/(f/8) a multiple of 13?
True
Is 3 + -7 - (0 + 1 + -10) a multiple of 5?
True
Let b be (0*(-2)/4)/2. Suppose 24*h - 22*h - 22 = b. Does 9 divide h?
False
Is (8 - 5) + 72/2 a multiple of 7?
False
Let b(c) = c**2 - 15*c + 26. Does 6 divide b(17)?
True
Suppose 406 = -0*m + 7*m. Is m a multiple of 13?
False
Is 157 + 0 + 5 + -6 a multiple of 12?
True
Suppose 0 = -5*c + 2*r + 4, 0 = c - 4*r + 3*r + 1. Suppose 24 = 2*d + p, -2*p + 24 = 2*d + c*p. Let g = d + -7. Is 3 a factor of g?
False
Let x(z) = 5*z**3 - 2*z**2 + 1. Let g be x(1). Suppose 0 = 3*v + 5*l + 2 - 35, -6 = -3*v + g*l. Is (-8)/3*(-99)/v a multiple of 19?
False
Suppose -1 = -2*p + 1. Let d(w) = -w + 1. Let k(h) = 11*h**2 + 4*h - 5. Let v(m) = 5*d(m) + k(m). Is v(p) a multiple of 5?
True
Let t(g) = -g**2 + 8*g - 8. Is 2 a factor of t(6)?
True
Suppose 3*q - 3 = -3*i + 12, -4*i + 2 = -5*q. Suppose 2*a + q*u + 50 = 0, 7*a + 105 = 3*a - 3*u. Let s = a - -42. Does 8 divide s?
False
Let d be ((-5)/15)/(1/(-111)). Let c = d - 26. Is 6 a factor of c?
False
Let c(l) = -2*l**3 - 5*l**2 - l - 7. Let j(h) = h**3 + 2*h**2 + h + 3. Let k(m) = 3*c(m) + 5*j(m). Is 4 a factor of k(-6)?
False
Let s(n) = n**2 + 0*n**2 - 5 + 4 + 5*n**2 - n. Is s(2) a multiple of 8?
False
Suppose -4*l - 3*o = -0*o - 2, 4*l = o - 6. Let k be (-4 - -3) + 32 + l. Suppose -k = -2*p - 3*p. Is 3 a factor of p?
True
Suppose -112 = -4*p + 164. Is 30 a factor of p?
False
Let h(a) be the second derivative of -a**5/20 + a**4/6 - a**3/2 - 2*a**2 - a. Let q be h(3). Let o = -2 - q. Does 10 divide o?
True
Suppose -9*l = -4*l - 215. Is l a multiple of 19?
False
Let h = 125 + -61. Does 16 divide h?
True
Suppose 0 = o + 4*m + 2, -o - o + 7 = -3*m. Let r be 19/(o/(-12)*-2). Let t = r + -4. Is t a multiple of 20?
False
Let s = 17 + -12. Let z = 19 - s. Is z a multiple of 11?
False
Is (-390)/(-2) + (16 - 16) a multiple of 39?
True
Is 18 a factor of ((-16)/4)/(2/(-43))?
False
Suppose -12 - 118 = -5*x. Let o = x + -36. Does 11 divide (-294)/o + (-4)/10?
False
Let c be ((-3)/(-2) - 2)*-40. Suppose -5*p - 96 = s + 3*s, 5*p = -c. Let m = 32 + s. Is 13 a factor of m?
True
Suppose -2*d + m = -36, 7*d - 3*d + 3*m - 52 = 0. Is d a multiple of 8?
True
Does 4 divide (-20)/((-3 - -4*1)/(-1))?
True
Let j = -36 + 18. Does 9 divide (-3 - -2)*1*j?
True
Let p(m) = 259*m + 2. Let a be p(-2). Does 19 divide 2/(-5) + a/(-15)?
False
Let x be 432/56 - (-2)/7. Let n = 37 + x. Does 15 divide n?
True
Let h = 129 - 42. Is h a multiple of 20?
False
Let v(m) = 75*m**2 + m + 1. Suppose 0*y = y + 1. Is 32 a factor of v(y)?
False
Suppose -3*d = -n + 5 + 2, 4*d + 22 = -5*n. Let g = n + 6. Suppose -g*a + 2*l + 112 = 0, 6*l - 2*l = -3*a + 106. Is a a multiple of 15?
True
Let o(x) = -x**2 + 12*x + 17. Is 2 a factor of o(13)?
True
Let k(j) = j**2 - j + 23. Let i be 1/1 - (-3 - -4). Let t be k(i). Suppose -5*r + 49 = 2*q + q, -3*q - t = -4*r. Does 5 divide r?
False
Let o = -1 - -31. Is o a multiple of 28?
False
Suppose -2*q = 4*i + 102, -4*i = -q + i - 72. Is -2*(0 - q/(-6)) a multiple of 11?
False
Let a be (308/(-8))/((-1)/2). Let j = a - 38. Is 21 a factor of j?
False
Suppose -2*x - 5*p - 18 = 0, -33 = 5*p - 13. Let m = 10 - x. Does 7 divide m?
False
Suppose 0 = i - 5*i - 2*k + 92, -2*i - 5*k = -30. Suppose 70 = 5*d - i. Does 19 divide d?
True
Suppose 0 = 4*q - 40 - 72. Is q a multiple of 14?
True
Suppose -3*z - 5*s = -53, 0*s + 5*s - 85 = -5*z. Suppose 4 = a - z. Is a a multiple of 7?
False
Let t(p) = -p**3 + 11*p**2 - 4*p + 3. Is 21 a factor of t(10)?
True
Let r = 50 - 33. Does 5 divide r?
False
Let t = 5 - 6. Let p = t - -14. Does 9 divide p?
False
Suppose 4*c + 8 = -36. Let j = 27 - c. Is j a multiple of 19?
True
Let z = 215 + -127. Is 22 a factor of z?
True
Suppose -3*h + 84 = 5*v, -5*h + 3*h - 69 = -5*v. Let w be v/(-4) - 2/8. Let u(k) = -8*k - 4. Is 10 a factor of u(w)?
False
Let k(n) = n - 3. Let l = -5 - -8. Let v be k(l). Suppose v*t = -t + 2. Does 2 divide t?
True
Let x(j) = 2*j - 7. Let t be x(5). Is (19 - 0) + -4 + t a multiple of 4?
False
Let t = 169 + -97. Does 18 divide t?
True
Is ((-3)/4)/((-32)/6656) a multiple of 16?
False
Let z(w) = -5*w. Let c = -3 - 1. Is z(c) a multiple of 6?
False
Let q be 0 + (4 - 3 - -2). Suppose -63 = -3*g + 3*a, 0 = -5*g - q*a + a + 119. Let w = g - 6. Is 8 a factor of w?
False
Suppose -z + 192 = 5*g, -5*z + 3*g - 2*g + 1090 = 0. Suppose -o = y - 41, -5*y + z = 4*o + 51. Does 13 divide o?
True
Let n(t) = -2*t - 2. Let s be n(-8). Suppose -o + s = 3. Is 11 a factor of o?
True
Let y = 121 + -69. Let b = 0 - -3. Suppose b*h - y = -h. Is h a multiple of 6?
False
Let o(h) = 5*h - 1. Let d be o(1). Suppose d*u - 4*y - 144 = 0, -3*u = 4*y - 68 - 68. Suppose u = -v + 3*v. Is v a multiple of 8?
False
Let p = 3 + -7. Let a = p + 2. Is 18 a factor of (25 - a)/(6/8)?
True
Let g(o) be the first derivative of o**3/3 - 3*o**2/2 + 7*o - 3. Is g(-7) a multiple of 11?
True
Suppose 3*p = -c + 18, 3*c + 2*p - 13 = 2*c. Suppose -2*i - 10 = -c*i. Does 5 divide i?
True
Suppose -3 = 5*z - 48. Is 5 a factor of z?
False
Let r(a) = -a + 1. Does 2 divide r(-7)?
True
Let s be -15 + 3 - 3/1. Does 11 divide 5/s + 34/3?
True
Let g = 6 - 5. Suppose h + 3 = q, 0 = q - 0*q - 2*h - g. Suppose q*f - 41 = 24. Is f a multiple of 5?
False
Let g(y) be the first derivative of -y**4/4 + 3*y**2/2 + 4*y - 2. Does 8 divide g(-3)?
False
Suppose -3*h + u = 6 + 5, -5*u = -10. Let w(d) = 4*d**2 + 3*d - 2. Is w(h) a multiple of 12?
False
Let s = 9 - -25. Suppose -s = -3*r + 2*p, -p - 32 = -4*r + r. Does 4 divide r?
False
Let n(h) = -4*h**3 + 2*h**2 - 5*h + 7. Let k(c) = 5*c**3 - 2*c**2 + 5*c - 8. Let z(a) = -3*k(a) - 4*n(a). Is 5 a factor of z(3)?
True
Let b(z) = 8*z**2 + 3*z + 20. Does 34 divide b(-4)?
True
Suppose 5*y = -v + 8, 0 = -2*v - 4*y + y + 2. Suppose -21 = -4*x + 91. Let t = v + x. Does 13 divide t?
True
Suppose -m + 40 = 5*s, 5*s - 2*m = -4*m + 35. Does 2 divide s?
False
Let r = 6 + -1. Suppose r*k - 43 = 17. Does 12 divide k?
True
Let o(k) = -13*k + 3. Let x be (-3 - (-4 - -3))*1. Does 18 divide o(x)?
False
Let r be 3/((-12)/4) - 2. Let g = 4 - r. Is g a multiple of 3?
False
Let l = 37 - 33. Is 4 a factor of l?
True
Let a(j) = 3*j - 20. Let f be a(8). Does 3 divide 6/24 - (-39)/f?
False
Let m(j) be the third derivative of -j**4/24 - 3*j**3/2 + 3*j**2. Let q be m(-9). Suppose q = -4*i + 29 + 107. Is 17 a factor of i?
True
Let y = 158 + -19. Is 24 a factor of y?
False
Let v(q) = 10*q - 19. Is v(22) a multiple of 11?
False
Let b = -5 - -8. Let h(a) = a**2 - 4. Let f be h(-3). Suppose b*l - 10 = f. Is l a multiple of 3?
False
Let b be 6/(4 + -1) - 2. Suppose -o - 3*o - 24 = s, b = 3*o - 2*s + 18. Let n = o + 9. Is n even?
False
Let j(n) = n**2 - n - 9. Let b be j(-12). Suppose -5*o + b = 2*i, i + 3*o - 80 = 7*o. Does 38 divide i?
True
Let v = 27 + -16. Let h = v + -8. Suppose -3*p + 5*p = h*f + 81, -p = -4*f - 28. Is p a multiple of 17?
False
Suppose -3*d = -g - 235, 0*d - 2*g - 150 = -2*d. Let c = d + -56. Suppose 5*q = -p + 6, 6*p = 2*q + p - c. Is q a multiple of 2?
True
Let k = -69 + 106. Is k a multiple of 5?
False
Suppose -3*o + 82 = u - 6*o, 2*u - 2*o - 172 = 0. Is u a multiple of 11?
True
Suppose 0 = 4*x + 4*b, -20 = 5*b - 0. Let c be ((-42)/9)/(x/(-6)). Suppose c = z - 4. Is 7 a factor of z?
False
Let n(h) = h**2 + 5*h + 2. Let u be n(-5). Let q(v) = -5 + 6*v**2 + u*v - 2 + 4. Does 10 divide q(2)?
False
Let d(k) = -2*k. Let g be d(-1). Suppose 0 = g*c - 2*w - 104, -5*c - 5*w = -246 - 64. Suppose 4*a = c + 131. Does 16 divide a?
False
Let x = 198 + -135. Is x a multiple of 24?
False
Let m(d) be the first derivative of 4*d + 1/4*d**4 - 3*d**2 + 1 + 5/3*d**3. Does 4 divide m(-6)?
True
Let n(l) = -l - 1. Let y be n(-5). Suppose -y*p = u + 2 - 8, 3*u = p + 57. Does 6 divide u?
True
Let p(a) = a**2 + 75. Is 9 a factor of p(0)?
False
Let b = -10 - -37. Suppose 0 = -4*d + 3*x - 8*x + b, -6 = -3*d + x. Is d a multiple of 3?
True
Let s(d) = -d**3 - d**2 + d + 2. Let v be s(0). Suppose v*c - 64 = 4*z, 5*c + 2*z - 124 = -0*z. Is c a multiple of 13?
True
Let k be 827/5 - (-8)/(-20). Suppose k + 255 = 5*x. Does 28 divide x?
True
Let r(s) = s**3 + 6*s**2 - 3*s - 6. Does 4 divide r(-6)?
True
Let z( | {
"pile_set_name": "DM Mathematics"
} |
et z(u) = 4*u - 16. What is z(3)?
-4
Let m(s) = 5*s + 20. Calculate m(-9).
-25
Let t(d) = 25*d + 3. Give t(-2).
-47
Let j(b) = 2*b**3 - 17*b**2 + 5*b + 28. Calculate j(8).
4
Let s(f) = 2*f**3 - 100*f**2 - 6. What is s(50)?
-6
Let v(y) = y**3 + 2*y**2 - 2*y - 1. What is v(2)?
11
Let m(l) = -l**3 + 12*l**2 + 14*l + 2. Determine m(13).
15
Let b(f) = -2*f**2 - 2. Determine b(2).
-10
Let h(f) = -f**2 - 10*f - 6. Give h(-5).
19
Let p(w) = -w**3 - 6*w**2 + 6*w + 8. What is p(-7)?
15
Let u(l) = l**3 - 5*l**2 - l - 2. Give u(4).
-22
Let z(o) = o**2 + 2*o - 7. Calculate z(2).
1
Let q(m) = 2*m**2 + 6*m - 17. What is q(4)?
39
Let p(v) = v**2 - 12*v + 7. Determine p(7).
-28
Let m(j) = j**3 - 27*j**2 - j + 5. Calculate m(27).
-22
Let n(z) = -12*z**2 - 2. What is n(-1)?
-14
Let h(n) = -n**3 - 17*n**2 + n + 8. Calculate h(-17).
-9
Let r(p) = -p - 22. Give r(-1).
-21
Let v(s) = -4*s**2 + 2*s - 26. What is v(5)?
-116
Let x(l) = -6*l + 107. Give x(18).
-1
Let f(r) = -r**3 - 5*r**2 - 11*r - 7. Calculate f(-3).
8
Let v(t) = -t**2 - t + 7. Determine v(-4).
-5
Let i(y) = 4*y**3 + 10*y - 9. What is i(1)?
5
Let k(z) = -2*z**2 - 14*z + 19. Calculate k(-8).
3
Let h(m) = -2*m**2 - 13*m - 32. What is h(-5)?
-17
Let r(t) = 3*t**2 - t + 48. Determine r(0).
48
Let q(z) = -7*z**2 - 140*z + 1. Give q(-20).
1
Let k(d) = d**3 + 15*d**2 + 10*d - 30. Determine k(-14).
26
Let t(l) = l**3 - l**2 - 116. What is t(0)?
-116
Let v(t) = 3*t - 6. What is v(-5)?
-21
Let d(y) = 4*y**2 - 5*y + 4. Calculate d(3).
25
Let m(o) = 15*o**3 - o**2 - o. Calculate m(-1).
-15
Let h(u) = 25*u**2 - 4*u + 4. Calculate h(2).
96
Let q(h) = -h**3 + 6*h**2 + 2*h - 6. Calculate q(6).
6
Let v(n) = -5*n + 52. Calculate v(10).
2
Let g(u) = u**3 + 20*u**2 + 19*u + 17. What is g(-19)?
17
Let x(o) = -o**3 + 13*o**2 - 6*o - 10. Calculate x(13).
-88
Let p(f) = -7*f + 102. Give p(16).
-10
Let r(x) = -51*x**3 - 2*x**2 + 4*x - 3. Determine r(1).
-52
Let s(f) = f**3 - 16*f**2 - 2*f + 23. What is s(16)?
-9
Let t(d) = -2*d**2 + 6*d - 9. Determine t(0).
-9
Let t(p) = p**3 - 3*p**2 - 4*p + 2. Calculate t(5).
32
Let h(v) = -v**3 - 12*v**2 - 4*v - 18. Calculate h(-12).
30
Let q(n) = 9*n + 10. Determine q(-7).
-53
Let r(f) = -23*f - 166. What is r(-7)?
-5
Let a(b) = b**3 - 6*b**2 - b - 2. Give a(6).
-8
Let g(f) = f + 20. Calculate g(-15).
5
Let t(o) = o**3 + o**2 + o - 36. Calculate t(0).
-36
Let k(d) = -d**3 - 12*d**2 + 10*d - 9. Determine k(-13).
30
Let h(s) = s**2 - 11. Determine h(4).
5
Let i(w) = 8*w - 222. What is i(31)?
26
Let x(s) = 4*s - 48. Give x(13).
4
Let u(r) = -9*r**3 - r**2 - r + 3. What is u(1)?
-8
Let k(x) = -x**2 - 7*x - 26. Calculate k(-4).
-14
Let x(z) = z**3 + 6*z**2 - 8*z + 9. Calculate x(-7).
16
Let v(b) = b**2 + 2*b - 7. Give v(-4).
1
Let m(k) = k**2 - 6*k + 2. Calculate m(7).
9
Let v(m) = m**2 + 4*m - 10. Determine v(-7).
11
Let t(k) = 8*k + 39. Give t(-5).
-1
Let k(l) = l**3 - 3*l**2 - 5. What is k(0)?
-5
Let a(h) = h**2 + 52*h + 668. Determine a(-23).
1
Let t(c) = -2*c**2 + 51*c - 4. Calculate t(26).
-30
Let g(l) = l**3 - 6*l**2 - 3*l - 1. Give g(6).
-19
Let v(u) = 5*u - 86. Calculate v(18).
4
Let n(b) = -2*b**3 - 5*b**2 - 5*b + 1. Calculate n(-2).
7
Let f(q) = q**3 - 9*q**2 + 17*q - 15. Calculate f(6).
-21
Let w(j) = 3*j + 60. What is w(-21)?
-3
Let j(u) = 8*u**2 - 3*u + 1. Give j(1).
6
Let n(h) = h**3 + 10*h**2 - 12*h + 7. What is n(-11)?
18
Let m(i) = -27*i**2 - 756*i + 4. Determine m(-28).
4
Let r(n) = -18*n - 146. What is r(-11)?
52
Let g(q) = 2*q - 19. What is g(12)?
5
Let r(z) = -z - 65. What is r(-7)?
-58
Let k(b) = 28*b**2 - 2*b + 1. Determine k(1).
27
Let j(f) = 2*f**3 - 15*f**2 - 11*f + 27. What is j(8)?
3
Let u(t) = t**3 - 4*t**2 - 8*t - 10. What is u(6)?
14
Let j(o) = 2*o**2 - 32*o + 13. Give j(13).
-65
Let o(q) = 5*q**2 - 190*q - 5. Give o(38).
-5
Let g(u) = -u**3 - 8*u**2 - 7*u + 7. Give g(-6).
-23
Let m(q) = -118*q + 4. What is m(1)?
-114
Let h(x) = -x**3 - 6*x**2 + 2*x - 37. Determine h(-6).
-49
Let c(q) = -8*q**2 + 10*q + 10. Determine c(-1).
-8
Let j(c) = c**3 - 8*c**2 - 2*c + 11. Give j(8).
-5
Let o(x) = -2*x + 9. Give o(9).
-9
Let a(b) = -b**2 - 9*b + 21. Give a(-11).
-1
Let w(p) = 7*p**2 + 23*p + 5. What is w(-5)?
65
Let u(w) = w**3 + 13*w**2 + 13*w - 4. Determine u(-12).
-16
Let j(p) = 9*p - 45. What is j(5)?
0
Let w(v) = -v**2 - v + 1. What is w(3)?
-11
Let p(m) = -m**3 + m**2 + 3*m - 10. Give p(3).
-19
Let u(r) = 15*r - 152. What is u(9)?
-17
Let y(h) = h**2 - 8*h + 15. Give y(7).
8
Let q(x) = x**3 - 5*x**2 - 17*x + 9. What is q(7)?
-12
Let p(f) = -f - 5. Calculate p(5).
-10
Let n(f) = -f**2 - 8*f - 15. What is n(-10)?
-35
Let l(z) = -z**3 + 26*z**2 - 4. Determine l(26).
-4
Let n(c) = -4*c**2. Calculate n(-1).
-4
Let r(z) = z**3 - 13*z**2 - 16*z + 18. What is r(14)?
-10
Let m(u) = -u - 100. What is m(0)?
-100
Let b(u) = -6*u + 133. Determine b(21).
7
Let p(q) = 10*q**2 + 159*q - 23. Give p(-16).
-7
Let s(b) = -12*b + 297. Calculate s(25).
-3
Let v(c) = c**2 + 4*c - 8. Determine v(-5).
-3
Let w(t) = 13*t**2 - 5*t + 6. Give w(1).
14
Let r(f) = 36*f**3 + f**2 + f + 1. Give r(-1).
-35
Let b(x) = 2*x + 3. What is b(-1)?
1
Let y(t) = 2*t**2 + 3*t. Give y(-6).
54
Let z(d) = -3*d**2 - 11*d + 22. What is z(-9)?
-122
Let s(r) = -r + 2. What is s(-1)?
3
Let u(g) = g**3 - 2*g**2 - 2*g + 7. What is u(-3)?
-32
Let o(x) = -x**2 - 13*x - 17. Give o(-10).
13
Let c(p) = -8*p**3 - p**2 + p - 1. Calculate c(1).
-9
Let k(x) = 2*x**3 + x + 13. Determine k(-3).
-44
Let y(s) = -s**3 + 13*s**2 - 14*s + 4. Calculate y(12).
-20
Let x(m) = -m**2 - 11. Determine x(0).
-11
Let y(h) = h**3 - 5*h**2 - 2*h + 7. Determine y(5).
-3
Let d(w) = w**3 - 2*w**2 - 3. Calculate d(3).
6
Let q(l) = -l**3 - 7*l**2 + 4*l - 2. What is q(-4)?
-66
Let c(r) = 2*r. What is c(-1)?
-2
Let s(a) = a**3 - 6*a**2 - 9*a + 8. Calculate s(7).
-6
Let z(i) = i**2 - 2*i - 10. Calculate z(5).
5
Let g(n) = -10*n**2 - 4*n - 7. What is g(-2)?
-39
Let m(k) = 2*k - 21. Calculate m(11).
1
Let q(z) = z**3 + 31*z**2 - 62*z + 119. Give q(-33).
-13
Let r(i) = -2*i**2 - 2*i - 25. Determine r(-4).
-49
Let s(x) = -x**3 - 4*x**2 + 9*x + 2. Give s(-6).
20
Let y(n) = n + 2. Determine y(9).
11
Let l(q) = q**3 - 10*q**2 - 24*q + 7. Give l(12).
7
Let d(a) = -a**3 + 5*a**2 + 4*a - 3. Determine d(6).
-15
Let y(z) = z**3 + 9*z**2 + 10*z + 21. Calculate y(-8).
5
Let h(r) = -r**3 - 7*r**2 - 6*r + 4. What is h(-6)?
4
Let d(h) = 5*h**3 + 120*h**2 - 3*h - 71. Give d(-24).
1
Let j(c) = 12*c + 435. Give j(-36).
3
Let y(z) = z**2 + 6*z - 3. Determine y(-7).
4
Let y(h) = h**3 + 8*h**2 - 5*h - 13. Give y(-9).
-49
Let r(p) = p**3 - 6*p**2 + 19. What is r(4)?
-13
Let h(r) = -r**2 + 25*r - 8. Determine h(10).
142
Let l(u) = u**3 - 2*u - 2. Determine l(4).
54
Let s(t) = -7*t**2 - 66*t - 71. Give s(-8).
9
Let q(s) = -s**3 - 16*s**2 + 4*s + 28. Give q(-16).
-36
Let b(s) = 25*s + 228. Calculate b(-9).
3
Let l(y) = -y**3 + 6*y**2 - 8*y + 4. Calculate l(3).
7
Let d(b) = b**3 + 6*b**2 - 5*b - 18. Give d(-3).
24
Let v(b) = -2*b + 1. Calculate v(-2).
5
Let c(n) = -3*n - 1. Determine c(-2).
5
Let y(d) = -4*d + 1. Give y(-2).
9
Let f(u) = 7*u**3 + u**2 + u. Give f(1).
9
Let s(a) = -4*a**2 - 9*a + 1. What is s(-3)?
-8
Let t(s) = -5*s**2 - 5*s + 15. Give t(2).
-15
Let c(g) = -6*g - 103. What is c(-17)?
-1
Let y(t) = -t**3 + 8*t**2 - 15*t - 4. Give y(3).
-4
Let u(d) = 27*d + 46. Give u(-2).
-8
Let r(o) = -o + 52. Give r(15).
37
Let t(s) = -s**2 + 2*s + 7. Determine t(4).
-1
Let z(y) = -59*y**3 + y**2 + y - 1. Give z(1).
-58
Let z(g) = -2*g**2 + 11*g + 8. Give z(8).
-32
Let t(m) = -m**3 + 9*m**2 - 15*m + 1. Determine t(6).
19
Let n(s) = -s**2 + 3*s + 6. Calculate n(7).
-22
Let o(p) = p**3 - 8*p**2 - p + 7. Calculate o(7).
-49
Let h(z) = z**3 - 4*z**2 - 8*z - 1. Calculate h(6).
23
Let c(b) = -b**3 - 8*b**2 - 7*b + 2. Calculate c(-7).
2
Let p(t) = t**3 + t**2 + t + 24. Determine p(0).
24
Let v(x) = -x**3 - 9*x**2 + 12*x + 9. Calculate v(-10).
-11
Let m(t) = t**3 - t + 16. Calculate m(0).
16
Let u(h) = -h**2 - 23*h - 25. Give u(-21).
17
Let b(h) = 35*h**2. What is b(-1)?
35
Let s(a) = a**3 + 5*a**2 + 9*a + 14. What is s(-4)?
-6
Let p(v) = -v**2 + 10*v + 3. What is p(11)?
-8
Let y(l) = 17*l**3 - l**2 - l + 1. Determine y(1).
16
Let s(n) = -156*n + 323. Calculate s(2).
11
Let n(y) = -y** | {
"pile_set_name": "DM Mathematics"
} |
h'th term of -290, -1165, -2628, -4679, -7318, -10545, -14360?
-294*h**2 + 7*h - 3
What is the x'th term of -808, -787, -752, -697, -616, -503?
x**3 + x**2 + 11*x - 821
What is the t'th term of -2, -75, -268, -641, -1254, -2167?
-10*t**3 - 3*t + 11
What is the b'th term of 129, 143, 179, 249, 365, 539, 783?
2*b**3 - b**2 + 3*b + 125
What is the q'th term of 45, 62, 45, -24, -163, -390?
-3*q**3 + q**2 + 35*q + 12
What is the y'th term of 80, 342, 772, 1364, 2112?
-y**3 + 90*y**2 - y - 8
What is the c'th term of -38, -79, -124, -173, -226, -283, -344?
-2*c**2 - 35*c - 1
What is the w'th term of -1969, -1971, -1975, -1981, -1989, -1999, -2011?
-w**2 + w - 1969
What is the f'th term of 404, 423, 456, 509, 588?
f**3 + f**2 + 9*f + 393
What is the d'th term of 62, 66, 70, 74?
4*d + 58
What is the b'th term of -1171, -1170, -1169, -1168, -1167?
b - 1172
What is the c'th term of 15, 70, 211, 480, 919, 1570, 2475, 3676?
7*c**3 + c**2 + 3*c + 4
What is the j'th term of 7928, 7927, 7926, 7925, 7924, 7923?
-j + 7929
What is the n'th term of -24, -105, -242, -435, -684?
-28*n**2 + 3*n + 1
What is the g'th term of -69, -270, -597, -1044, -1605?
g**3 - 69*g**2 - g
What is the c'th term of 53, 144, 295, 506, 777, 1108, 1499?
30*c**2 + c + 22
What is the f'th term of 6, -9, -34, -69, -114, -169?
-5*f**2 + 11
What is the l'th term of 15106, 15112, 15122, 15136?
2*l**2 + 15104
What is the z'th term of -26, -63, -130, -233, -378, -571, -818, -1125?
-z**3 - 9*z**2 - 3*z - 13
What is the r'th term of -39, -44, -69, -126, -227, -384?
-2*r**3 + 2*r**2 + 3*r - 42
What is the z'th term of 26, 67, 136, 233?
14*z**2 - z + 13
What is the b'th term of 13, -5, -53, -137, -263, -437?
-b**3 - 9*b**2 + 16*b + 7
What is the r'th term of -5509, -11022, -16535, -22048, -27561?
-5513*r + 4
What is the p'th term of -102, -199, -294, -387, -478?
p**2 - 100*p - 3
What is the m'th term of 1614, 3221, 4830, 6441, 8054, 9669, 11286?
m**2 + 1604*m + 9
What is the x'th term of 72, 138, 192, 228, 240, 222?
-x**3 + 73*x
What is the w'th term of 378, 392, 420, 468, 542?
w**3 + w**2 + 4*w + 372
What is the c'th term of 314, 319, 324?
5*c + 309
What is the k'th term of 380, 759, 1138, 1517?
379*k + 1
What is the z'th term of 5, -7, -27, -55?
-4*z**2 + 9
What is the y'th term of -1375, -1378, -1381?
-3*y - 1372
What is the i'th term of -25, -56, -85, -112, -137, -160, -181?
i**2 - 34*i + 8
What is the q'th term of -1652, -3302, -4952, -6602?
-1650*q - 2
What is the m'th term of 134, 179, 226, 275?
m**2 + 42*m + 91
What is the q'th term of 26, 77, 150, 239, 338, 441, 542, 635?
-q**3 + 17*q**2 + 7*q + 3
What is the i'th term of -8, -11, -14, -17, -20?
-3*i - 5
What is the x'th term of 7, 23, 63, 139, 263?
2*x**3 + 2*x + 3
What is the r'th term of -459, -448, -401, -300, -127, 136, 507?
3*r**3 - 10*r - 452
What is the n'th term of 7, 6, -1, -14, -33, -58?
-3*n**2 + 8*n + 2
What is the n'th term of -58, -228, -520, -940, -1494, -2188, -3028?
-n**3 - 55*n**2 + 2*n - 4
What is the m'th term of 10167, 20341, 30529, 40737, 50971, 61237?
m**3 + m**2 + 10164*m + 1
What is the a'th term of -49, -47, -35, -7, 43, 121, 233, 385?
a**3 - a**2 - 2*a - 47
What is the c'th term of 15, 32, 49, 66, 83, 100?
17*c - 2
What is the s'th term of 32, 91, 168, 269, 400, 567, 776, 1033?
s**3 + 3*s**2 + 43*s - 15
What is the m'th term of 94, 169, 246, 325?
m**2 + 72*m + 21
What is the k'th term of 42, 74, 92, 90, 62, 2, -96?
-k**3 - k**2 + 42*k + 2
What is the t'th term of 324, 637, 940, 1227, 1492?
-t**3 + t**2 + 317*t + 7
What is the j'th term of 65, 72, 83, 98, 117?
2*j**2 + j + 62
What is the r'th term of -220, -441, -662, -883?
-221*r + 1
What is the a'th term of 1589, 1576, 1563?
-13*a + 1602
What is the t'th term of 30, 35, 40, 51, 74?
t**3 - 6*t**2 + 16*t + 19
What is the t'th term of 11, 9, 3, -7?
-2*t**2 + 4*t + 9
What is the t'th term of 725, 1449, 2173, 2897, 3621?
724*t + 1
What is the x'th term of 20, 57, 84, 95, 84, 45?
-x**3 + x**2 + 41*x - 21
What is the g'th term of -28, -59, -98, -151, -224, -323?
-g**3 + 2*g**2 - 30*g + 1
What is the m'th term of -2639, -2634, -2627, -2618, -2607, -2594?
m**2 + 2*m - 2642
What is the u'th term of -31, -40, -49, -58, -67?
-9*u - 22
What is the y'th term of -728, -735, -742, -749?
-7*y - 721
What is the l'th term of 62, 120, 178, 236?
58*l + 4
What is the o'th term of 293, 284, 261, 218, 149, 48?
-o**3 - o**2 + o + 294
What is the h'th term of 94, 143, 144, 97, 2, -141?
-24*h**2 + 121*h - 3
What is the f'th term of 589, 573, 545, 505, 453, 389?
-6*f**2 + 2*f + 593
What is the n'th term of -4272, -8545, -12818, -17091, -21364, -25637?
-4273*n + 1
What is the f'th term of 3026, 3025, 3036, 3065, 3118, 3201?
f**3 - 8*f + 3033
What is the p'th term of -179, -176, -173?
3*p - 182
What is the m'th term of -30524, -30525, -30526, -30527, -30528?
-m - 30523
What is the y'th term of 285, 2214, 7445, 17628, 34413, 59450?
275*y**3 + y**2 + y + 8
What is the c'th term of 979, 1963, 2947, 3931, 4915?
984*c - 5
What is the k'th term of -25, -115, -273, -505, -817, -1215?
-k**3 - 28*k**2 + k + 3
What is the d'th term of 10, 19, 32, 49, 70, 95, 124?
2*d**2 + 3*d + 5
What is the j'th term of -73, -58, -57, -76, -121?
-j**3 - j**2 + 25*j - 96
What is the t'th term of 1897, 1910, 1931, 1960, 1997?
4*t**2 + t + 1892
What is the x'th term of 4437, 4433, 4427, 4419, 4409?
-x**2 - x + 4439
What is the z'th term of 134, 130, 118, 98, 70, 34?
-4*z**2 + 8*z + 130
What is the p'th term of 278, 555, 832, 1109, 1386?
277*p + 1
What is the h'th term of 11, 42, 73, 104, 135, 166?
31*h - 20
What is the t'th term of -83, -60, -9, 82, 225, 432?
2*t**3 + 2*t**2 + 3*t - 90
What is the r'th term of 336, 672, 1010, 1350, 1692?
r**2 + 333*r + 2
What is the o'th term of -3124, -12504, -28138, -50026, -78168, -112564?
-3127*o**2 + o + 2
What is the a'th term of 4485, 4483, 4481, 4479, 4477?
-2*a + 4487
What is the w'th term of -38, -317, -1084, -2585, -5066?
-41*w**3 + 2*w**2 + 2*w - 1
What is the p'th term of 13, 20, 29, 40, 53, 68?
p**2 + 4*p + 8
What is the v'th term of 28, 165, 540, 1273, 2484, 4293, 6820, 10185?
20*v**3 - v**2 + 9
What is the z'th term of -221, -889, -2005, -3569, -5581, -8041?
-224*z**2 + 4*z - 1
What is the z'th term of -90, -194, -300, -408, -518, -630, -744?
-z**2 - 101*z + 12
What is the x'th term of 1294, 2585, 3876, 5167, 6458?
1291*x + 3
What is the w'th term of -110, -209, -300, -377, -434?
w**3 - 2*w**2 - 100*w - 9
What is the s'th term of 706, 707, 708, 709, 710, 711?
s + 705
What is the i'th term of 28, 144, 428, 964, 1836, 3128, 4924, 7308?
14*i**3 + 18*i - 4
What is the x'th term of 8, 19, 32, 47, 64?
x**2 + 8*x - 1
What is the p'th term of 21, 41, 61, 81, 101?
20*p + 1
What is the y'th term of -89, -177, -265, -353, -441, -529?
-88*y - 1
What is the c'th term of -14, -111, -280, -527, -858?
-c**3 - 30*c**2 + 17
What is the r'th term of -39, -88, -141, -198, -259?
-2*r**2 - 43*r + 6
What is the b'th term of 16, 39, 62, 85?
23*b - 7
What is the m'th term of 579, 1154, 1729?
575*m + 4
What is the p'th term of 62, 135, 208, 281?
73*p - 11
What is the j'th term of -1029, -1025, -1027, -1041, -1073, -1129?
-j**3 + 3*j**2 + 2*j - 1033
What is the a'th term of 18, 24, 30, 36, 42, 48?
6*a + 12
What is the j'th term of -494, -1008, -1522, -2036, -2550?
-514*j + 20
What is the h'th term of -58, -277, -650, -1183, -1882, -2753, -3802?
-h**3 - 71*h**2 + h + 13
What is the m'th term of -9, -19, -29, -39, -49, -59?
-10*m + 1
What is the t'th term of 119, 235, 351, 467?
116*t + 3
What is the h'th term of -119, -90, -27, 82, 249?
2*h**3 + 5*h**2 - 126
What is the y'th term of -37, -77, -143, -247, -401, -617?
-2*y**3 - y**2 - 23*y - 11
What is the q'th term of 35, 47, 59, 71, 83, 95?
12*q + 23
What is the l'th term of 371, 742, 1117, 1496, 1879?
2*l**2 + 365*l + 4
What is the u'th term of -896, -3569, -8022, -14255, -22268, -32061, -43634?
-890*u**2 - 3*u - 3
What is the d'th term of 1090, 2185, 3282, 4381, 5482?
d**2 + 1092*d - 3
What is the p'th term of -12, -43, -84, -129, -172, -207, -228?
p**3 - 11*p**2 - 5*p + 3
What is the i'th term of -543, -1088, -1633, -2178, -2723?
-545*i + 2
What is the y'th term of 59, 138, 215, 290?
-y**2 + 82*y - 22
What is the p'th term of 346, 389, 460, | {
"pile_set_name": "DM Mathematics"
} |
4/9*6/(-4). Let s be l(c). Let q = s + -4. What is the greatest common divisor of 55 and q?
11
Suppose -3*l - 4*p = -15, l - 4*p = -5 - 6. Let d = 1 + l. Calculate the highest common factor of d and 6.
2
Suppose 5*r - 21*r = -112. What is the highest common factor of r and 63?
7
Suppose 0*a - 3*a - 15 = 0. Let v(f) = f**2 + 3*f + 6. Let o be v(a). What is the greatest common factor of o and 176?
16
Let l(n) = -n**3 - 9*n**2 + n + 12. Let i be l(-9). Suppose x - 47 = -b, b - 2*b + 51 = -i*x. What is the highest common divisor of 12 and b?
12
Let x = 111 + -103. Calculate the greatest common factor of 56 and x.
8
Suppose -r = 2*r - 45. Let f be (-18)/r*(-140)/6. What is the highest common divisor of 7 and f?
7
Let n(z) = z**2 + z - 2. Suppose -3*b - 20 = -8*b. Let p be n(b). Calculate the greatest common divisor of 9 and p.
9
Let d = -11 + 17. Let t = -2 + 7. Suppose 100 = t*s - 20. Calculate the highest common divisor of d and s.
6
Let q be 0 + 0 + 2 + -2. Let n be (2 - q)/(-6)*-75. Calculate the greatest common factor of n and 50.
25
Let m be 1/1 + 1 - 31. Let p = -5 - m. What is the highest common divisor of 3 and p?
3
Let y = 4 - -12. What is the greatest common divisor of y and 8?
8
Let n(b) = 5*b**2 - 30*b - 7. Let p be n(7). Calculate the highest common divisor of p and 4.
4
Suppose -1 = 5*u - 26. Suppose -165 = -u*n - 45. Suppose -5*z + 4*d + 88 = 0, 5*z - d + 5*d - 72 = 0. What is the greatest common divisor of n and z?
8
Suppose -c - 2*c + 36 = 0. Let u(g) = 2*g**2 + 14*g - 12. Let m be u(-8). What is the highest common factor of c and m?
4
Let c = 9 + -4. Let p = c + 6. Calculate the greatest common factor of 88 and p.
11
Let v(z) = z + 10. Let f be v(-8). Suppose 5*n = -4*g + 5, -2*g = -4*n - n + 5. What is the greatest common factor of n and f?
1
Let x = 65 + -44. Calculate the greatest common divisor of 168 and x.
21
Suppose z - 2*z + 2 = 0. Suppose -4*t + z = -2*n, -18 = -2*n + t - 2*t. Calculate the highest common divisor of 7 and n.
7
Let v(r) be the third derivative of -r**6/120 - r**5/20 + 5*r**4/24 + 5*r**3/6 + 8*r**2. Let n be v(-5). Calculate the highest common factor of 12 and n.
6
Let w(m) = -80*m. Let p be w(-1). Suppose -i - t + 2*t = -37, t = -2*i + 59. What is the greatest common divisor of i and p?
16
Let j(v) = -8*v + 8. Let u be j(-6). Let n(z) = -2*z. Suppose 23 = -5*r - 12. Let q be n(r). Calculate the greatest common factor of u and q.
14
Let b(v) = 7*v - 3. Let y be b(3). Let u be 194 + 1 + y/6. Calculate the highest common divisor of u and 22.
22
Let f(i) = -i**3 - i + 16. Let m be f(0). Calculate the highest common divisor of 2 and m.
2
Suppose 2*n + 14*n = 1408. What is the highest common factor of 11 and n?
11
Suppose 39 = -0*z + 3*z. Let w(n) = -13*n + 11. Let q be w(-8). Let k = 219 - q. What is the greatest common factor of z and k?
13
Let s(x) = -2*x + 9. Let u be s(-8). Suppose -c = 4*c - u. Suppose -3 = -c*d + 7. Calculate the greatest common divisor of 8 and d.
2
Let j be (-2*28/(-12))/((-8)/(-60)). Calculate the highest common factor of j and 385.
35
Suppose 2*a + a = 630. Let s be (54/15)/(9/a). What is the greatest common factor of s and 12?
12
Let k be -3 + 0/(-2) + 11. Let w be 2/4*(3 - -21). Calculate the highest common factor of w and k.
4
Let k = -30 + 48. Calculate the highest common factor of 144 and k.
18
Let a = 55 + -31. Calculate the highest common factor of a and 16.
8
Let i(k) = 11*k - 11*k + 57*k**2. Let v be i(-1). Let j = -41 + v. What is the highest common factor of 4 and j?
4
Let h = -76 - -116. Calculate the greatest common factor of h and 16.
8
Let k(i) be the third derivative of 11*i**5/12 + i**4/24 + 2*i**2. Let h be k(1). Calculate the highest common divisor of 7 and h.
7
Let d(w) = 8*w**3 - 5*w**2 + 5*w - 10. Let f be d(3). What is the highest common divisor of f and 16?
16
Let k(l) = 15*l**2 - 3*l + 2. Let w be k(5). Suppose w = 3*f + 2*n, 4*f + 0*n = -n + 481. Calculate the highest common divisor of 30 and f.
30
Suppose 27 = 5*i + k + 4, i + k = 7. Suppose 0 = -4*s - s - 5*u + 20, -5*u = -2*s - 6. Calculate the greatest common factor of i and s.
2
Let x = -24 - -36. What is the highest common factor of 108 and x?
12
Suppose -2*j + 3*w - 20 = 0, w + 3*w + 32 = -j. Let a = 20 + j. What is the highest common factor of a and 20?
4
Let i = 579 - 570. Suppose 5*r + 2*t = 2*r + 20, 0 = 3*r - 4*t - 14. What is the greatest common divisor of r and i?
3
Let l = 66 + -36. What is the greatest common divisor of l and 240?
30
Suppose -35 - 5 = -x. Suppose -4*z - b + 39 = 0, 3*z - 7*z + 4*b + 44 = 0. What is the greatest common divisor of z and x?
10
Suppose 3*i + k = 165, -3*i - 28 = -4*k - 193. Calculate the highest common factor of 22 and i.
11
Let y(q) = -q**3 + 4*q**2 + 6*q - 4. Let r be y(5). Let f be 8/(-3 + 4) + r. What is the highest common factor of 81 and f?
9
Suppose -2*s = s - 5*x - 13, 2*s + 4*x = -6. Calculate the highest common divisor of s and 6.
1
Suppose -26 = -4*n - 2. Calculate the highest common divisor of n and 4.
2
Let l be (1/3)/((-4)/(-2004)). Let y = l + -107. Let p be 249/21 - 3/(-21). Calculate the highest common factor of p and y.
12
Let d be (-1 - 0)*(-10)/5. Suppose 0 = v + 4*x + 1, x - 1 = -d. Let l be (-2)/v*18/(-4). Calculate the greatest common divisor of l and 21.
3
Suppose 0 = -p + 2*p + 13. Let b(x) = x**3 + 14*x**2 + 12*x - 11. Let m be b(p). What is the greatest common divisor of m and 2?
2
Let r be (36/63)/((-4)/(-42)). Calculate the highest common factor of 54 and r.
6
Let m(r) = r**2 + 9*r + 10. Let y be m(-8). Let f be y/((-2 + 5)/3). Suppose -s + 12 + f = 0. Calculate the highest common factor of s and 126.
14
Let q be 4/10 + 54/15. Suppose 0 = -q*l + 3*p - 4, -3*l + 2*p + 18 = 5*p. Suppose l + 0 = w. Calculate the highest common divisor of w and 18.
2
Suppose -7*c + 3*c = -256. Calculate the highest common divisor of c and 8.
8
Suppose -55 = -5*u + 75. What is the highest common factor of u and 182?
26
Let m(g) = -g**2 - 16*g - 5. Let s be m(-15). Calculate the highest common factor of s and 10.
10
Suppose -3*y + 5*w + 49 = w, 3*w - 57 = -4*y. Suppose -2*m + 49 + y = 0. Calculate the highest common factor of 256 and m.
32
Let f(n) = -2*n - 11. Let g be f(-8). Let l = g - 1. What is the greatest common divisor of l and 4?
4
Let k(r) = r**2 - 3*r - 17. Let o be k(7). Calculate the greatest common factor of 88 and o.
11
Let n(c) = 7*c**2 - 16*c + 8. Let o(k) = 3*k**2 - 8*k + 4. Let f(t) = 2*n(t) - 5*o(t). Let x be f(4). Calculate the highest common factor of x and 12.
12
Let q be (-1)/(-1) + -2 - 3. Let k be 21/(-6)*(-12 - q). Calculate the greatest common factor of k and 4.
4
Suppose r = 3*r - 84. What is the highest common divisor of 6 and r?
6
Let y = 28 + -21. Calculate the highest common divisor of y and 35.
7
Let p = -8 - -16. Let d be 372/21 - (-12)/42. Let f be 20/6*d/5. Calculate the greatest common divisor of f and p.
4
Suppose 0 = -l - 2*l + 27. What is the greatest common factor of 3 and l?
3
Let h be (1/(-1))/1*88. Let d = 133 + h. Calculate the greatest common factor of d and 15.
15
Let i = 188 - -82. Suppose -3*z - i = 3*n, 3*n = 4*z - 71 - 171. Let x = -51 - n. What is the highest common divisor of x and 5?
5
Let q = 11 + 2. Let a be q + -10 - (0 + 1). Calculate the highest common divisor of 3 and a.
1
Let q be 1/(-2) + 2/4. Suppose 0 = 4*i - 2*m - 4 - q, 0 = -3*i - 5*m - 10. Suppose i*u + 44 = 4*u. Calculate the greatest common factor of u and 44.
11
Let t be 24/6 - -57*3. Calculate the highest common factor of t and 70.
35
Suppose 271 = 5*g + 4*h + 84, -4*g + 143 = h. Suppose 0*i + g = 5*i. Calculate the highest common divisor of i and 7.
7
Let c = 102 + -66. Let v be (-3)/2*(-16)/6. Calculate the highest common factor of v and c.
4
Let z(a) = -a**3 - 4*a**2 - a - 11. Let w be z(-5). Suppose 0 = 6*t + 7 - w. Calculate the greatest common divisor of 1 and t.
1
Suppose 30 = -4*h - 3*z, 5*h - 3*h - 5*z = -2. Let i be 27/h*(-24)/9. Suppose 5*r = 0, -4*r + 85 = 5*m - 215. What is the greatest common divisor of m and i?
12
Let s(n) = 5*n. Let u be 7 - (-3)/(-3) - -3. Let k = u + -3. Let l be s(k). Calculate the highest common divisor of 12 and l.
6
Let w be (31 + -9)*14/4. Suppose -l - 3*l - 24 = 0. Let m be (-51)/l + (-6)/4. | {
"pile_set_name": "DM Mathematics"
} |
= -2*t. Solve -w - 4*w = 4*x + 31, -t*w - 5 = -x for x.
-4
Let m be 0/(2 + 0)*(22 - 23). Solve -4*z = -2*a + 7*a + 41, -3*z - 12 = m for a.
-5
Let l = -2 - -7. Solve -l*g + 2*p - 7 - 9 = 0, -2*p + 4 = -2*g for g.
-4
Let m be 0 + -1 - 68/(-17). Solve -q + 10 = 3*z, -3*q + q = -m*z + 7 for z.
3
Let c be (-3)/(-6)*6*1. Solve 3*t - 2*a = -11, t - 5*a + 5 + c = 0 for t.
-3
Suppose -d - 2 + 24 = 0. Let f = 12 - 7. Suppose -19 = -2*w - f*y, -2*w + 13 = -0*w + 3*y. Solve -q + w*v + 31 = -6*q, 5*q - v = -d for q.
-5
Let d = 53 - 49. Solve d*c = -5*z - 22 - 2, -3*z = 5*c + 17 for c.
-1
Suppose 4*o - 25 = -o. Solve 0 = 4*p + o*f + 27, 3*p - f + 6*f = -24 for p.
-3
Suppose 0 = 3*i - 4 - 59. Let b = -16 + i. Solve 0 = -2*d - b*l + 16, -d = -4*l + 6*l - 6 for d.
-2
Let x = -39 - -42. Let u(l) = -l + 5. Let k be u(3). Solve -3*c - x = 5*d, 0*c + 2*c = -k*d + 2 for c.
4
Suppose 0*y + 4*y + 80 = 0. Let o be 12/y - (-84)/15. Solve 4*t = 3*q - 10, -q - 3 = -0*t + o*t for q.
2
Let q be (4/3)/(8/12). Let b be 1 - (-2 - (-1 + 0)). Suppose -3*u - 7 = -2*l - q*u, -2*l - b*u + 10 = 0. Solve y - 3 = -4*s, -5*y - l*s - 27 = -10 for y.
-5
Suppose 5*t - 2 + 12 = 2*s, -4*s + 20 = -3*t. Suppose t = -a + 3 - 1. Let f = 8 + -5. Solve -a*o + w - 4 - 11 = 0, f*w = 15 for o.
-5
Suppose 3*h + 5*x - 48 = 0, -3*x = -2*h + 57 - 6. Solve -4*r - 16 = 3*c - 2*c, 0 = -3*r - 3*c - h for r.
-3
Let h = 6 + -3. Suppose -c + h - 1 = 0. Solve 0 = -c*v - 2*r + 4*r, 4 = r for v.
4
Let b(t) = -16*t - 1. Let v be b(-1). Suppose 0 = -r + 4*r - v. Solve l + r = 0, 2*l = c + 5*l + 10 for c.
5
Let n(i) = -i**2 - 8*i - 8. Let r be n(-4). Solve 4*u = 2*a + r, 1 = 3*a - 5 for u.
3
Suppose 3*r = -z - 6 + 18, -3*r + z = -6. Solve r*w + 0*i + 11 = 2*i, -2*w + 2*i = 6 for w.
-5
Let u = 7 + -3. Let n = u - 2. Solve n*s - s - 2*x = 5, 4*s - 20 = 4*x for s.
5
Let r(u) = -3*u**2 + 8 + 10 - 5 + 2*u**2. Let h be r(0). Let k = -4 + 7. Solve 3*i + 5 = -4*d, -5*i - k*d + 1 = h for i.
-3
Let x(g) = g + 3. Let v be x(-3). Suppose -8 = -4*j - v. Solve o + 3*o = 4*a - 16, -3*a - 4*o = j for a.
2
Suppose 9*i - 4*i = -10. Let y be i/((-3)/(-6) + -1). Suppose -2*z + 7 = -9. Solve 3*q - y*o + z = 0, 4*o = 5*q + 8 + 8 for q.
-4
Suppose -3*o - 2*h = 0, 2*h = -3*o + h. Suppose o = -4*a - 5 + 25. Suppose -5*y + 3*y = -4. Solve 3*s - y*s - 5*u = 24, -5 = -a*s + 2*u for s.
-1
Let q(g) = -g**2 + 59. Let i be q(0). Suppose 0 = -3*l + 3*u + 33, -i = -4*l + u. Solve 22 = 5*o + 3*p, -5*o - 2*p + 39 = l for o.
5
Let j(n) = -3*n - 31. Let a be j(-11). Let b(u) = u**2 - 3*u - 5. Let v be b(5). Solve a*c - c + 20 = 4*f, 0 = c + f - v for c.
0
Suppose 10 = 3*c - 116. Suppose -4*d + d = c. Let l = -8 - d. Solve k - l*k + 23 = -2*m, 0 = 3*m + 5*k - 28 for m.
1
Suppose 0 = -0*b + 4*b. Let s = b - 0. Solve 4*z + 12 = -3*a - s, -2*z + 4 = -a for z.
0
Let r = 4 - -1. Suppose 2*b - r*b = -3*c, c - 2*b = -5. Suppose 3*g = -0*j + c*j - 25, -j = -4*g - 22. Solve 1 = -3*i + 4, -5*w + j*i = 22 for w.
-4
Suppose -x + 2*x - 3 = 0. Suppose -x*d + 4*d = 5. Let z be (-20)/2*(-2)/4. Solve z = -5*v + d*c, -7*c + 4*c = -4*v for v.
3
Let b be 3 - (-398 - (1 + 1)). Suppose 5*c + 3*u + 2*u = 1015, 0 = -2*c - 3*u + b. Let w be (-9)/15 - c/(-10). Solve z - 3*z = 5*t + w, 2*t = -4 for z.
-5
Let a be ((-2)/4)/((-1)/(-18)). Let n = a + 20. Suppose -3*c + 60 = 3*s, 0 = -2*c + 5*s + n + 1. Solve -4*u + 6*h + c = h, u - 5*h = 19 for u.
-1
Let r be (-4 + -1)*(-48)/5. Suppose 3*k - r = -4*v - 9, -2*v = -6. Suppose 2*j = -j + k. Solve 2*t + 20 = j*c, -c + 4*c + 3*t = 0 for c.
4
Suppose -4*m - 2*c = -100, 0*c = 5*m - c - 125. Solve -3*x = -2*p + 33 - 8, 5*x = -m for p.
5
Suppose 2*x + 1 = o - 1, 0 = 5*x + 5*o - 10. Solve x = 4*n - 3*j + 11, 0 = -4*j + 9 + 11 for n.
1
Suppose -2*w = 1 + 3. Let q be (-3 + -1)*w/8. Solve d + 12 = -3*d + 4*v, d = -v + q for d.
-1
Let i(y) = -y**2 - 17*y + 21. Let t be i(-18). Solve -l + 4*o - 12 = 0, -3*l - o + t = 13 for l.
-4
Suppose w - 1 - 9 = 0. Solve 2*q = w, -12 = -4*h - 4*q - 0*q for h.
-2
Let l(s) = -11*s**3 - 2*s**2 + s - 2. Let o be l(-2). Suppose -o + 1 = 5*b. Let p be -15*(33/b - -1). Solve p = -4*y + i, y - 3*y - 12 = -2*i for y.
-4
Suppose -49*j - 15 = -52*j. Solve 2 = -r + 2*y, 4*r + j*y + 8 = 3*y for r.
-2
Suppose 8 - 4 = 2*y. Suppose y*f - 6 = -2*z, -4*z + 3*f = -5*z + 9. Solve 5*n + 2*v = 9, -2*n + 3*v - 4*v + 3 = z for n.
3
Let a = -6 - -4. Let n = a + 6. Let h be -1 + -1 + 1 + n. Solve -2*k - 4*v + 14 = 0, -4*k + 2*k = h*v - 10 for k.
-1
Let a be (3/2)/((-15)/(-50)). Solve -3*h + f - 11 = 2, a*h + 3*f + 17 = 0 for h.
-4
Let p(i) = -7*i + 10. Let w(c) = 6*c - 10. Let l(t) = 2*p(t) + 3*w(t). Let d be l(10). Solve -5*m + 21 = -2*z, 3*z = -2*z + 5*m - d for z.
-3
Let q(i) = -4 + 3 - 4*i + 4*i + 17*i**2. Let h be q(1). Solve -h = -4*t + 4*v, -t - 3*t = 4*v + 8 for t.
1
Let v(q) = 2*q**2 - q - 2. Let i be 1/1 + 3/3. Let h be v(i). Let j(t) = 3*t - 6. Let b be j(4). Solve r - b*r - 2*s = 15, 0 = h*s for r.
-3
Suppose 3*d = 5*d - 5*c - 34, 0 = -3*c - 12. Solve -k = -o + 3, -d = k + o - 0*o for k.
-5
Suppose 8 = 4*f - 4. Suppose -3*s = 2*u - 41, s - 3*s = -u - 39. Solve -f*x + 0*r + s = -5*r, 0 = -x + 4*r + 15 for x.
-1
Let q = -25 - -38. Solve 3*y = -3*u + 2*u + q, -y + 1 = -3*u for y.
4
Let c be (-23)/(-1) + -3 + -3. Suppose -5*d - 20 + 5 = -5*l, -5*d + c = 3*l. Suppose 24 = -3*q + 7*q. Solve 5*v + 11 = -2*o, 5*v + 4*o + q = -d for v.
-3
Let o = 4 - 1. Solve -v + f = -o, f - 2*f = 0 for v.
3
Suppose 4*q = 17 + 3. Suppose -q*d + 4*i = -78, -20 = -5*d + 4*d + 3*i. Let f be 0/(2 + 1 + -2). Solve f*a - 5*x + d = -a, a = 2*x - 5 for a.
1
Suppose 3*m - 4 - 2 = 0. Suppose -47 = -3*n - 17. Let d(c) = -9*c - 1. Let f be d(-2). Solve -3*a - f = -2*s, -m*a - n - 16 = -5*s for s.
4
Let b = 19 + -6. Let m = 12 + -7. Suppose 0 = -m*f + b + 27. Solve -f = 3*h + c, 4*c - 5*c - 9 = 4*h for h.
-1
Let l be ((-4)/(-2) - 1) + 24. Suppose -2*u + 6 = 0, -4*w - 5*u + l = -2. Solve -1 = g + o + w, 0 = -5*g + 4*o - 29 for g.
-5
Suppose -n + 0*n = -29. Suppose 0 = -0*t + t - 11. Suppose 0 = 4*s - t + 3. Solve -3*r - n = 5*y, s*y - 1 = r + 2*r for r.
-3
Let y be -2 - 6/(1 + -2). Suppose -4*f + f + 1 = t, -y*f + 23 = -3*t. Let n(q) = q**2 + 5*q + 3. Let v be n(t). Solve 5*i - 20 = 0, v*o + 2*i + 7 = -0*o for o.
-5
Let i(c) = 4*c - 13. Let a be i(6). Solve 2*g + 1 = 3*y + a, -y - 10 = -4*g for y.
-2
Suppose 3*z = 5*c - 22, -z + 1 - 11 = -3*c. Suppose -96 = 5*r - 26. Let l be ((-12)/r)/((-3)/(-21)). Solve -2*k - 3 = 2*n + 3, 0 = -c*n - l for k.
0
Suppose 3*a + 49 = 5*v + 4*a, 0 = 5*v - 3*a - 33. Let c be (90/15)/(1/2 + 1). Solve -4*k + o + 0 + v = 0, -c*k - 4*o = -4 for k.
2
Let w = 7 + 19. Suppose -5*b + w = -54. Solve -y - 2*y + 19 = -4*k, -4*k = b for y.
1
Let m = -12 + 8. Let l be 2/m*2/(-1). Let a = l + 6. Solve j - 2*y + a = 0, -2*j + 2*y - 10 = 2*j for j.
-1
Let b(y) = -17*y - 1. Let a be b(-1). Let c = -5 + 8. Suppose 2*u - u + 2*l - 8 = 0, c*u - 4 = 4*l. Solve 0*t = 2*t - 3*d + 14, a = u*t + 5*d for t.
-1
Let o(c) = -c - 3. Let r be o(-5). Solve 7 = -0*m - 3*m + 4*h, 0 = -r*m - 3*h - 16 for m.
-5
Suppose 4*c - 9*c + 95 = 0. Solve 4*g + c = -k, 2*g + 0*k + 2*k = -8 for g.
-5
Let p(n) = -n**2 - 8*n - 6. Let r be p(-7). Let g be (-2 - (-1 + r))*-2. Suppose g*o - 2 = 3*o. Solve -6*t = 4*c - 4*t - 6, -o*c - 3 = -t for c.
0
Suppose 9 = -x + 4*i, 3*x + 3*i - 18 = -0. Suppose l + x*l = 0. Solve -p - 2*p + 4*t - 19 = l, -t + 11 = -2*p for p.
-5
Let o be (-95)/(-20) - 2/(-8). Let m = o - -2. Let z = m + -2. Solve z*k - 2 = 3*l, -10 = -5*l + 3*k - 8*k for l.
1
Let j be (3/(-1) + 9/3)/2. Solve j = 5*t + 5*h - 6 - 19, 4 = 2*t - h for t.
3
Let b(w) = w**3 + 5*w**2 + 3*w - 3. Let l be b(-3). Suppose 0 = -v + 2*v - l. Solve 4 = 5*s + 3*r, -r - v = 2*r for s.
2
Suppose -7*n - 10 = -g - 2*n, -5*g = -2*n - 4. Solve -4*c + 24 = -g*c - 5*a, -c + a = -5 for c.
1
Suppose 2*l = -2*l. Let b = l - -2. Suppose -3*h + b*d + 2*d = -26, -2*d = 2*h + 6. Solve h*g = -4*k, -2*k = -5*k + 2*g for k.
0
Suppose 0*c + 2*c - 4*l = 26, 0 = 3*c - l - 19. Let p be (0 + 3/5)*c. Solve -4*q + p*n = -11, -2*q + 2 = -2*n - 2 for q.
5
Let r = -16 - -24. Let j be ((-5)/10)/((-1)/r). Solve o - 3*k = -4*o - 12, j = -2*o + 2*k for o.
-3
Suppose 3*y - 14 = 6*y - 4*l, -2*y - 13 = l. Let s(f) = -f**2 | {
"pile_set_name": "DM Mathematics"
} |
digit of 11149?
1
What is the thousands digit of 52032?
2
What is the hundreds digit of 52483?
4
What is the units digit of 1921?
1
What is the hundreds digit of 42698?
6
What is the units digit of 2144?
4
What is the thousands digit of 1146?
1
What is the hundreds digit of 93933?
9
What is the tens digit of 2395?
9
What is the thousands digit of 1419?
1
What is the units digit of 5364?
4
What is the units digit of 33083?
3
What is the tens digit of 91343?
4
What is the units digit of 20805?
5
What is the tens digit of 2026?
2
What is the thousands digit of 1065?
1
What is the units digit of 11254?
4
What is the units digit of 5040?
0
What is the ten thousands digit of 12839?
1
What is the ten thousands digit of 22993?
2
What is the units digit of 2467?
7
What is the hundreds digit of 3530?
5
What is the thousands digit of 1464?
1
What is the thousands digit of 78778?
8
What is the hundreds digit of 966?
9
What is the hundreds digit of 1762?
7
What is the tens digit of 14316?
1
What is the units digit of 2873?
3
What is the thousands digit of 52340?
2
What is the tens digit of 6998?
9
What is the hundreds digit of 242?
2
What is the hundreds digit of 22054?
0
What is the hundreds digit of 161?
1
What is the units digit of 3161?
1
What is the hundreds digit of 1084?
0
What is the tens digit of 43917?
1
What is the units digit of 5005?
5
What is the tens digit of 905?
0
What is the thousands digit of 7667?
7
What is the units digit of 37887?
7
What is the thousands digit of 3498?
3
What is the thousands digit of 21687?
1
What is the hundreds digit of 5030?
0
What is the units digit of 18445?
5
What is the units digit of 170?
0
What is the hundreds digit of 72217?
2
What is the thousands digit of 1220?
1
What is the units digit of 13518?
8
What is the thousands digit of 2832?
2
What is the tens digit of 3859?
5
What is the tens digit of 918?
1
What is the thousands digit of 2726?
2
What is the units digit of 19153?
3
What is the hundreds digit of 950?
9
What is the thousands digit of 4794?
4
What is the tens digit of 9015?
1
What is the tens digit of 9257?
5
What is the units digit of 6225?
5
What is the tens digit of 1646?
4
What is the hundreds digit of 178?
1
What is the thousands digit of 3860?
3
What is the ten thousands digit of 15825?
1
What is the tens digit of 1871?
7
What is the units digit of 267?
7
What is the tens digit of 5377?
7
What is the units digit of 4954?
4
What is the tens digit of 12145?
4
What is the units digit of 14789?
9
What is the hundreds digit of 301?
3
What is the hundreds digit of 673?
6
What is the units digit of 13720?
0
What is the units digit of 1822?
2
What is the thousands digit of 1362?
1
What is the units digit of 17095?
5
What is the tens digit of 96?
9
What is the units digit of 110602?
2
What is the thousands digit of 25102?
5
What is the tens digit of 16132?
3
What is the tens digit of 1459?
5
What is the units digit of 562?
2
What is the ten thousands digit of 29034?
2
What is the units digit of 7061?
1
What is the tens digit of 10901?
0
What is the tens digit of 746?
4
What is the hundreds digit of 3531?
5
What is the tens digit of 3010?
1
What is the units digit of 1087?
7
What is the units digit of 135?
5
What is the ten thousands digit of 90406?
9
What is the tens digit of 2391?
9
What is the units digit of 1837?
7
What is the ten thousands digit of 59584?
5
What is the thousands digit of 5933?
5
What is the ten thousands digit of 11555?
1
What is the units digit of 834?
4
What is the thousands digit of 6149?
6
What is the units digit of 996?
6
What is the hundreds digit of 5838?
8
What is the units digit of 2599?
9
What is the hundreds digit of 23450?
4
What is the units digit of 8901?
1
What is the hundreds digit of 3828?
8
What is the thousands digit of 6121?
6
What is the units digit of 70?
0
What is the thousands digit of 32182?
2
What is the units digit of 1268?
8
What is the ten thousands digit of 53898?
5
What is the thousands digit of 40740?
0
What is the hundreds digit of 9969?
9
What is the thousands digit of 1881?
1
What is the tens digit of 94289?
8
What is the tens digit of 35?
3
What is the hundreds digit of 5970?
9
What is the tens digit of 3191?
9
What is the hundreds digit of 2517?
5
What is the units digit of 5600?
0
What is the hundreds digit of 82832?
8
What is the hundreds digit of 234?
2
What is the hundred thousands digit of 144373?
1
What is the thousands digit of 94381?
4
What is the tens digit of 64?
6
What is the ten thousands digit of 49009?
4
What is the units digit of 816?
6
What is the ten thousands digit of 77326?
7
What is the hundred thousands digit of 105356?
1
What is the hundreds digit of 1547?
5
What is the thousands digit of 3270?
3
What is the units digit of 833?
3
What is the units digit of 9252?
2
What is the hundred thousands digit of 150160?
1
What is the ten thousands digit of 115656?
1
What is the hundreds digit of 1930?
9
What is the ten thousands digit of 103661?
0
What is the ten thousands digit of 20667?
2
What is the units digit of 944?
4
What is the units digit of 929?
9
What is the units digit of 11656?
6
What is the thousands digit of 3217?
3
What is the thousands digit of 140892?
0
What is the hundreds digit of 4454?
4
What is the ten thousands digit of 35256?
3
What is the units digit of 116580?
0
What is the units digit of 1002?
2
What is the hundreds digit of 1381?
3
What is the tens digit of 1561?
6
What is the hundreds digit of 1937?
9
What is the hundreds digit of 10869?
8
What is the hundreds digit of 8962?
9
What is the tens digit of 71?
7
What is the thousands digit of 2486?
2
What is the tens digit of 7692?
9
What is the tens digit of 161?
6
What is the tens digit of 55327?
2
What is the hundreds digit of 6736?
7
What is the hundreds digit of 2675?
6
What is the hundreds digit of 1345?
3
What is the hundreds digit of 4948?
9
What is the thousands digit of 3014?
3
What is the hundreds digit of 22149?
1
What is the hundreds digit of 953?
9
What is the units digit of 1039?
9
What is the units digit of 112514?
4
What is the ten thousands digit of 59440?
5
What is the tens digit of 13792?
9
What is the tens digit of 424?
2
What is the hundreds digit of 3510?
5
What is the ten thousands digit of 11855?
1
What is the hundreds digit of 22753?
7
What is the units digit of 5275?
5
What is the ten thousands digit of 55895?
5
What is the tens digit of 245?
4
What is the hundreds digit of 63103?
1
What is the tens digit of 483?
8
What is the ten thousands digit of 103737?
0
What is the hundred thousands digit of 113411?
1
What is the units digit of 16560?
0
What is the ten thousands digit of 33885?
3
What is the units digit of 2415?
5
What is the units digit of 9694?
4
What is the units digit of 4789?
9
What is the thousands digit of 2898?
2
What is the units digit of 2997?
7
What is the tens digit of 17022?
2
What is the tens digit of 9393?
9
What is the tens digit of 2337?
3
What is the units digit of 13935?
5
What is the tens digit of 1189?
8
What is the thousands digit of 6982?
6
What is the units digit of 27?
7
What is the tens digit of 1113?
1
What is the hundreds digit of 390?
3
What is the ten thousands digit of 23354?
2
What is the ten thousands digit of 10441?
1
What is the units digit of 1273?
3
What is the ten thousands digit of 83658?
8
What is the hundreds digit of 572?
5
What is the units digit of 10060?
0
What is the thousands digit of 42557?
2
What is the tens digit of 1013?
1
What is the hundreds digit of 306?
3
What is the tens digit of 9995?
9
What is the thousands digit of 68043?
8
What is the thousands digit of 10123?
0
What is the units digit of 426?
6
What is the units digit of 116671?
1
What is the thousands digit of 1814?
1
What is the units digit of 5515?
5
What is the units digit of 1334?
4
What is the hundreds digit of 1573?
5
What is the thousands digit of 77116?
7
What is the hundreds digit of 43520?
5
What is the hundreds digit of 16296?
2
What is the tens digit of 182?
8
What is the units digit of 1642?
2
What is the tens digit of 2127?
2
What is the units digit of 156?
6
What is the ten thousands digit of 64986?
6
What is the hundreds digit of 1144?
1
What is the tens digit of 8124?
2
What is the tens digit | {
"pile_set_name": "DM Mathematics"
} |
47 - 45953?
-46000
In base 12, what is -2b6a5 - 6?
-2b6ab
In base 12, what is -aa021a + 5?
-aa0215
In base 16, what is -5e - -3e4?
386
In base 15, what is 0 - b657?
-b657
In base 12, what is -6 - -5841?
5837
In base 7, what is -24 - -1650?
1623
In base 14, what is -35a + 46?
-314
In base 15, what is 1d2c6 - -2?
1d2c8
In base 3, what is 100110 + 10101012?
10201122
In base 16, what is 81ac + -2?
81aa
In base 14, what is c04 + 29?
c2d
In base 4, what is 1132 + 1120020?
1121212
In base 3, what is -121 - -10122101001?
10122100110
In base 2, what is -111 - -100111110000111?
100111110000000
In base 10, what is -48 - -33139?
33091
In base 3, what is -20010011110 - -1?
-20010011102
In base 16, what is 60 - d2e?
-cce
In base 15, what is 8 + -1834?
-182b
In base 12, what is 5 - -496a?
4973
In base 9, what is -5 - 10510?
-10515
In base 16, what is -1 + d41e?
d41d
In base 5, what is 31141 + -301?
30340
In base 6, what is -1150415 + -232?
-1151051
In base 9, what is -5 - -153861?
153855
In base 15, what is 7 + -9a8?
-9a1
In base 9, what is 2 + -30326?
-30324
In base 8, what is 1144 + 2?
1146
In base 2, what is -100110001100 - 0?
-100110001100
In base 13, what is 7050 - 1?
704c
In base 16, what is -29fe - -10?
-29ee
In base 11, what is -a + -15a?
-169
In base 14, what is 4 + b32b8?
b32bc
In base 7, what is 325541 + -1?
325540
In base 15, what is 129 + 191?
2ba
In base 4, what is 211130 + -21?
211103
In base 13, what is -546 + 16?
-530
In base 6, what is 2 - -1353014?
1353020
In base 10, what is -20151 + -2?
-20153
In base 15, what is 4a16 + -13?
4a03
In base 14, what is 163 + bb?
240
In base 8, what is 446730 + -4?
446724
In base 2, what is 1010000 - 11100010011?
-11011000011
In base 10, what is 4882 - 0?
4882
In base 6, what is 13 - 2311532?
-2311515
In base 9, what is 72403 + 123?
72526
In base 9, what is 2385827 - -1?
2385828
In base 2, what is 10010001011001010 - -1001?
10010001011010011
In base 13, what is 57a + 44?
5c1
In base 4, what is -3 + 101121102?
101121033
In base 15, what is 60bad - -4?
60bb2
In base 14, what is 7 + 4a695?
4a69c
In base 14, what is -1d0 - -27?
-1a7
In base 10, what is 4193 + -32?
4161
In base 10, what is -154 + 1125?
971
In base 12, what is 1b7b8 - 26?
1b792
In base 16, what is -d8 - 1b6?
-28e
In base 9, what is -1 + 360441?
360440
In base 11, what is -18a217 + -2?
-18a219
In base 15, what is -5 + -27de?
-27e4
In base 13, what is a + 47?
54
In base 12, what is 19a + a36b?
a549
In base 9, what is 85 + -11712?
-11616
In base 6, what is 130 - -1232?
1402
In base 9, what is 4505 - -26?
4532
In base 15, what is 50 + -7a61?
-7a11
In base 14, what is -95 + -15ab?
-1662
In base 9, what is 267 + -7188?
-6821
In base 13, what is -b1 - 1a676?
-1a757
In base 13, what is -248 - -39?
-20c
In base 9, what is 2863 + -135?
2727
In base 16, what is f40f - -4?
f413
In base 3, what is -2 - -12012100?
12012021
In base 11, what is -627 - -a?
-618
In base 5, what is -103114 + 23?
-103041
In base 6, what is -111444 + -13?
-111501
In base 7, what is 26105 + 11?
26116
In base 3, what is -12 + -12221001021?
-12221001110
In base 3, what is -10122010 + -12?
-10122022
In base 7, what is 1603 + -52?
1521
In base 2, what is 1001 - -1110000011001?
1110000100010
In base 13, what is 11c49 + -2?
11c47
In base 5, what is 103200 - 113?
103032
In base 16, what is 8 + -290?
-288
In base 13, what is 5 - -470782?
470787
In base 10, what is -27698 - -82?
-27616
In base 3, what is 100 + 2002002121?
2002002221
In base 3, what is 212111 + 2000?
221111
In base 11, what is -17a + -120?
-29a
In base 10, what is -4 - -54304?
54300
In base 2, what is 110010001100001011 - -10?
110010001100001101
In base 11, what is -12139 + 19?
-12120
In base 3, what is 11212002220 - 1020?
11212001200
In base 12, what is ab91 - 9?
ab84
In base 7, what is -1623 + -3311?
-5234
In base 12, what is ba + 16?
114
In base 3, what is 1122 + 202100010?
202101202
In base 2, what is 101001000001100100 + -11?
101001000001100001
In base 4, what is 3230312203 - -3?
3230312212
In base 15, what is 15bd89 - -1?
15bd8a
In base 13, what is 5800 - 1?
57cc
In base 2, what is 10000101111011110010 + 11?
10000101111011110101
In base 11, what is 3 - 2a435?
-2a432
In base 10, what is 5 + 346645?
346650
In base 7, what is 1615 + 313?
2231
In base 9, what is 15 - -426450?
426465
In base 11, what is 1267 + 126?
1392
In base 10, what is 35693 - -21?
35714
In base 16, what is bf + 3a1?
460
In base 4, what is -11103113122 - -11?
-11103113111
In base 7, what is -15 + 2443060?
2443042
In base 5, what is 202 - -24301?
30003
In base 15, what is 2c5 - -458?
72d
In base 4, what is -2022 + 1311111?
1303023
In base 13, what is -12 - -11764?
11752
In base 4, what is -13310233 + 11?
-13310222
In base 3, what is 120 + 11102010001?
11102010121
In base 12, what is -6 - 10090?
-10096
In base 13, what is -3c419 - 6?
-3c422
In base 4, what is -221 - -1010332?
1010111
In base 15, what is -24 + -5e6?
-61a
In base 4, what is 323 + -1030111?
-1023122
In base 6, what is 1 + 13042?
13043
In base 11, what is -58 + -819?
-876
In base 5, what is 201442 + -3?
201434
In base 10, what is -2055 + -927?
-2982
In base 4, what is -3110 + 1022022?
1012312
In base 2, what is -100010 + 100100101?
100000011
In base 2, what is -10101 - 101001010100?
-101001101001
In base 16, what is 3e - -342?
380
In base 4, what is -1 - 11223032?
-11223033
In base 7, what is -3035242 + -2?
-3035244
In base 9, what is -24372 + -4?
-24376
In base 13, what is 37 + ab2?
b19
In base 16, what is -c82b2 - 5?
-c82b7
In base 15, what is 8c - 48?
44
In base 3, what is -111101002 + 20?
-111100212
In base 12, what is 4a52 - -b?
4a61
In base 16, what is -22 + -371?
-393
In base 11, what is 15 - -1006?
1020
In base 14, what is 68b71 + -4?
68b6b
In base 14, what is 2d - -6dc?
72b
In base 6, what is -3415 - 54?
-3513
In base 3, what is -2020112 - 21210?
-2112022
In base 13, what is -b - -1415?
1407
In base 13, what is 76a + 1?
76b
In base 12, what is -3 - 41b1?
-41b4
In base 10, what is -4 - 1642?
-1646
In base 15, what is 3 + 297d2?
297d5
In base 10, what is 161 + -11?
150
In base 8, what is -1011402 + 0?
-1011402
In base 8, what is 10 - -2563?
2573
In base 5, what is 303103 + 1?
303104
In base 5, what is -20 - -2112322?
2112302
In base 6, what is -2 + -152533?
-152535
In base 10, what is -32 - 13226?
-13258
In base 11, what is 2047 - -4?
2050
In base 7, what is 233331 - 3?
233325
In base 5, what is -3210024 - -4?
-3210020
In base 14, what is 10 - 2c?
-1c
In base 3, what is -21 + -12221100?
-12221121
In base 14, what is -6db7b - b?
-6db88
In base 14, what is 2a0 + a5?
365
In base 16, what is 5 + -349?
-344
In base 10, what is 915 - 2749?
-1834
In base 4, what is 12021 - -1322?
20003
In base 2, what is -101 - -111011010100?
111011001111
In base 6, what is 52424 - -5?
52433
In base 13, what is -56b6 + 1?
-56b5
In base 16, what is -52c + 2ed?
-23f
In base 6, what is -113120 + 2?
-113114
In base 12, what is -27 - -a17?
9b0
In base 4, what is 1320 - 13031?
-11111
In base 11, what is -18 - -21345?
21328
In base 7, what is 2354 - -13623?
16310
In base 10, what is -30 - -1051?
1021
In base 7, what is -1353 - 113?
-1466
In base 2, what is 1000011000110 + 1110?
1000011010100
In base 16, what is b9 - -224?
2dd
In base 14, what is -c4 + -d9?
-1bd
In base 10, what is 2268 - 29?
2239
In base 10, what is 5 - 158878?
-158873
In base 16, what is -a - 117?
-121
In base 11, what is 257a + -57?
2523
In base 12, what is -41961 - -4?
-41959
In base 11, what is -153 - 4446?
-4599
In base 13, what is 1ac6 - 39?
1a8a
In base 7, what is -1002443 - 1?
-1002444
In base 16, what is 16c - -44?
1b0
In base 8, what is -4 - -10641?
10635
In base 3, what is -210200120 + -1022?
-210201212
In base 13, what is 4 + 1a009?
1a010
In base 11, what is -2 - -22156?
22154
In base 8, what is 3 + 3063?
3066
In base 8, what is 2 + 243406?
243410
In base 14, what is 65b - 1b?
640
In base 8, what is 3 + 2001?
2004
In base 15, what is -11d14 - -2?
-11d12
In base 5, what is 10 - -2310234?
2310244
In base 10, what is -14863 + 3?
-14860
In base 2, what is -1100001000 + 1111?
-1011111001
In base 6, what is 25055 + 120?
25215
In base 16, what is 12faf + 2?
12fb1
In base 9, what is 22 - -206?
228
In base 14, what is -a9 - -4356?
428b
In base 5 | {
"pile_set_name": "DM Mathematics"
} |
or h.
1
Suppose 51*g = 315*g - 101112. Solve -399*v + 144 = -g*v for v.
9
Let t be (-14)/(-7) - (0/2)/(-1). Let v = -632 - -637. Solve -r - v = -t for r.
-3
Let v be 2 + (-360)/(-14) - 6/(-21). Suppose -v = -5*u - y - 8, 3*y = u - 4. Solve -u*j + 4 = 8 for j.
-1
Suppose 2*z + 132 = 13*z. Suppose -z*s - 15 = -111. Solve -6*c + s = 26 for c.
-3
Let s(w) = 6*w - 6. Let z(n) = n**3 - 17*n**2 + n - 15. Let h be (1 - (-19 + 2)) + -10 + 9. Let i be z(h). Let d be s(i). Solve d*p - 5 = p for p.
1
Let o(d) = -d**3 - 10*d**2 - 10*d - 5. Let x be o(-9). Let w = 3153 - 3139. Suppose -4*m = -3*p - 14, -3*p - 12 = 3*m - 6*m. Solve -x*k = -w - m for k.
4
Let j(b) = -22*b + 73. Let f be j(3). Suppose 2*u - 12 = -2*u, 2*u = -3*h + 15. Solve -1 = h*c - f for c.
2
Let z be 120 - ((-24)/(-11) - 2/11). Suppose 5*u + z = 13. Let o = 29 + u. Solve -n + o = n for n.
4
Let l(f) = -f**2 - 127*f - 744. Let s be l(-8). Solve s = -70*r + 18*r for r.
-4
Let f(t) = 5*t**3 + 2*t**2 + 2. Let h be f(2). Suppose 3*g - h = -5. Solve 0 = o - g + 14 for o.
1
Let w(b) = -b - 1. Let v be w(-4). Let z be 6/((-4)/(-9)*(-15)/(-10)). Suppose 11 + 16 = z*r. Solve -12 = v*q - r for q.
-3
Suppose 26*y - 170 - 39908 = 16368. Solve -2157*t + y*t = 70 for t.
5
Let n(r) = 6*r - 4. Let d(f) = f + 1. Let m(y) = -10*d(y) + 2*n(y). Suppose 0 = -5*z - 5*s + 35, z - 2*s - 17 + 4 = 0. Let w be m(z). Solve w*k + k = 2 for k.
2
Let r(h) = 39*h + 1091. Let c be r(-27). Solve -49*g = -c*g + 55 for g.
-5
Suppose -475*n - 196 = -479*n. Solve 22*t = 15*t + n for t.
7
Let l = 2993 - 2984. Solve -l*a = -14*a + 30 for a.
6
Suppose -240*f + 236*f + 32 = 0. Suppose 13*a + 6 = f*a + 3*s, -5*s + 10 = a. Solve -4*p + a*p = 0 for p.
0
Suppose -5*w = 4*t - 35, -67*w = -70*w + 4*t + 53. Solve 15*a = 7*a - w*a for a.
0
Suppose -5*n + 90*j = 87*j - 7, -5*j + 13 = 4*n. Solve -17*y - n*y = -95 for y.
5
Let r be 10/(-4)*6/45*-6. Suppose 3*h = z - 14, -10*h + 7*h - 19 = -r*z. Solve 3 = -z*g + 23 for g.
4
Let v be (5 - 12/2)/((-2)/6). Suppose 25 = v*y + 19. Let m(i) = i + 6. Let z be m(-6). Solve z = -y*j + j - 4 for j.
-4
Let x be 24/(-60)*15/18*-2187. Solve -737*q - 40 = -x*q for q.
-5
Suppose 4*z = 3*a + 12, -z + 1 - 5 = a. Let t(o) = -2*o**3 + o - 4. Let h be t(-2). Suppose z = -7*p + 4 + h. Solve -2*y - 16 = p*y for y.
-4
Suppose x = 12 - 13, x = d - 7. Solve 0 = d*k + 25 - 13 for k.
-2
Let r = 3 + -3. Let f = r + 16. Let w(y) = 3*y**3 - 7*y**2 - 6*y + 9. Let m be w(3). Solve -f - m = 5*z for z.
-5
Let t = -3174 + 3179. Solve 5*d + t = 6*d for d.
5
Suppose -4392 = 155*b - 216*b. Solve -b*o = -64*o - 24 for o.
3
Let f = 44 + -46. Let r(m) = -2*m**2 + 7*m + 16. Let c be r(f). Let s be (-5)/(10 - 5) - c. Solve 2*w - s = w for w.
5
Let w(h) = 17*h**2 + 22*h + 4. Let a(s) = -14*s**2 - 16*s - 3. Let m(g) = -4*a(g) - 3*w(g). Let n be (2/4)/(2/4). Let v be m(n). Solve 0 = -4*c + v*c - 4 for c.
-4
Let p be (-15)/1*7/(-21). Let z be 2*(-5 - (-2 - (-55)/(-10))). Solve 6*g - p*g + z = 0 for g.
-5
Let c = 3557 + -3536. Solve -c + 41 = 4*k for k.
5
Suppose 5*j - 3*b - 67 + 6 = 0, 4*b = 4*j - 44. Let h be 4 + (5 + 20/(-4))/(-4). Let k(o) = -o**2 + 8*o - 5. Let s be k(7). Solve -h*m + j = s for m.
3
Let d be (-2)/(-5) - 16/(-10). Let t = 133 + -77. Let s be 5/(5 + t/(-12)). Solve d*n - s = -n for n.
5
Suppose 140*j = 144*j - 5*d - 55, 3*d = -5*j + 115. Solve 19*r + j = 29*r for r.
2
Suppose -674 = -4*s - 2*f, -f - 34 = -s + 139. Solve -13*w - s = 21*w for w.
-5
Suppose 8*u - 3*s = 3*u - 341, -3*u + 4*s - 198 = 0. Let h be u/8 - 7/28. Let d = h - -37. Solve 5*r - d = -8 for r.
4
Suppose 5*r = c + 22, -3*c = 3*r - 30 + 168. Let k = c - -24. Let p = -12 - k. Solve -z + p = -4*z for z.
-2
Suppose 10 = 4*a + 2. Suppose -2*p = -4*g - 20, -85*p + 40 = 4*g - 81*p. Solve g = a*u - 6 for u.
3
Suppose -3*n - 11 - 616 = 0. Let a = -115 - n. Let f = 97 - a. Solve f*k = -0 + 12 for k.
4
Suppose 0 = w - 0*j - 3*j - 15, -28 = -4*w - 4*j. Let p be (-2)/w + 452/9. Let k = p - 49. Solve 0*b = -b + k for b.
1
Suppose -13*d + 3837 = 327 - 143. Solve d = -6*y + 275 for y.
-1
Let u be 3 - (-11)/((-33)/(-39)). Solve -2*f - u = -8 for f.
-4
Suppose 458 = -21*x - 1621. Let q = x - -133. Solve -q*y + 39*y = -20 for y.
-4
Suppose 4 = 2*i, 3*b - 4*i = 7*b - 348. Suppose -l + b = 4*p, -p = -5*p + 4*l + 80. Solve 11 = -5*f + p for f.
2
Let m(j) = j**2 + 6*j + 2. Let w be m(-5). Let r(o) = o**3 + 6*o**2 + 5*o + 3. Let g be r(-5). Let p = g + w. Solve 2*s - 13 + 5 = p for s.
4
Let v be 0/((-1 + -3)/(-4)). Suppose v = -a + 1, 4*l + 6*a - a - 17 = 0. Solve l*c + 2 = 8 for c.
2
Suppose 0*c + 4*c = 24. Suppose -4*l = -12, -21*l - 25 = 5*j - 26*l. Let a be ((-3)/(j + -1))/((-11)/(-33)). Solve a*i + c = -0*i for i.
-2
Suppose -z + 2*n = 3*n - 2, -4*n = -5*z + 46. Suppose -13*f + 1134 = 224. Suppose 3*o = -12 + 6, -4*d + 5*o + f = 0. Solve z*k = 3*k - d for k.
-5
Let w be 6*(18/12)/3. Suppose 0 = -2*o + 6, 0*o + 11 = 4*p - w*o. Solve -p*s - 14 - 1 = 0 for s.
-3
Suppose 32 = -2*k - 8. Let l(u) = -u**3 - 20*u**2 + u + 20. Let n be l(k). Suppose -5*h = -3*h. Solve h = 2*c - n - 6 for c.
3
Let p(y) = -19*y + 61. Let t be p(3). Let w be 2/1 + -1 - 1. Solve f - t = -w*f for f.
4
Let l be 13/(-91) - (13 + ((-19184)/77)/8). Let b be (-192)/(-9) + (-4)/(-6). Solve -l = 2*q - b for q.
2
Let o be (-1)/4 + 65/4. Suppose 101 - 21 = -5*q. Let k = o + q. Solve k = 5*j - 10 - 0 for j.
2
Let z = -130 - -130. Suppose 3*w + 7*u - 2*u = 19, -w + 4*u - 5 = z. Solve -w*h + 8*h = -20 for h.
-4
Suppose -279 + 30 = -18*j + 57. Solve -5 + j = -12*c for c.
-1
Let w(y) = 5*y + 15. Let l(d) = d + 1. Let t(h) = -4*l(h) + w(h). Let o(n) = n**3 - 9*n**2 - 10*n - 9. Let s be o(10). Let f be t(s). Solve -k = -f*k - 5 for k.
-5
Let g(f) = 2*f**2 + 15*f - 3. Suppose 2 = -2*l, -5*h - 4*l + 6*l = 38. Let o be g(h). Suppose 50 = o*x + 5*n, 0 = -x - 0*x + 4*n. Solve 0*q - x = 4*q for q.
-2
Suppose f - 2 = -5*k, 2*k - 3*f = -0*k - 6. Suppose -3*o = -3*u - 42, 118 - 223 = -14*o + u. Solve o*l - 11*l = k for l.
0
Let r(b) = 79*b - 607. Let c be r(8). Solve -c*g = -7*g + 54 for g.
-3
Let h = 19 - -41. Suppose 8*w = -4*w + h. Solve 0*p - 15 = w*p for p.
-3
Let d(x) = -5 + 3 - 15*x - x**3 - 3*x**2 - 7 + 2*x**3. Let w be d(6). Solve 6*a + 3 = w for a.
1
Let x = -7701 + 7713. Let b = 147 - 75. Let a = -40 + b. Solve x = -5*q + a for q.
4
Suppose -3*s + 1 = -5. Suppose s*n = 10 + 4. Suppose n*a - 11*a + 64 = 0. Solve -9*o = -13*o + a for o.
4
Suppose -6*m + 18 = -2*m - 3*t, -m = t - 8. Let i(l) = 2*l**3 + 82*l**2 - 74*l + 429. Let n be i(-42). Solve 0 = 3*u - m - n for u.
5
Let u be 1 - 12 - 156/(-12). Solve 13*c + u*c = 0 for c.
0
Let u be 38/(-57) - (-250)/15. Solve -12*h = -u*h for h.
0
Suppose -24*u + 23*u + 48 = 0. Let m = u + 19. Let i = m - 65. Solve 0 = -4*k + 5*k - i for k.
2
Suppose -5*m + 47 = -4*a + 7*a, 2*m - 2*a = 6. Solve -3*d + 15*d = -m*d for d.
0
Suppose 35*s - 10 = 45*s. Let t(o) = 0*o + 2 - 3*o + 3*o**2 + 4*o. Let h be t(s). Solve 1 = -h*q + 5 for q.
1
Let r be (-2 - 3) + 3 + 10. Let m(j) = 2*j**3 - 31*j**2 - 17*j + 21. Let c be m(16). Suppose a + r = c*a. Solve a*u + 9 = -u for u.
-3
Let t(m) = 2*m - 1. Let l = 25 + -24. Let u be t(l). Let w = u - 0. Solve 4 = -h + w for h.
-3
Suppose -408 - 398 = -13*c. Suppose 45*g = c*g - 476. Solve 6*d = 2 + g for d.
5
Let t(d) = 3*d + 4. Let z(o) = -1. Let j(w) = -3*t(w) - 6*z(w). Let f be j(-9). Let c = -54 + f. Solve 4*h = 1 - c for h.
-5
Let n(m) = -2*m**2 - 4*m + 5. Let g be n(-5). Let q be (-365)/g + (-2)/(-5). Suppose 4*y - q = c, 13 = 5*y - 12. Solve c*a = -5 - 5 for a.
-2
Let y = 2006 + -1989. Solve 9*n + 10 = -y for n.
-3
Let t be (-3102)/10 + 20/(-250)*10. Let r = -310 - t. Suppose -2*n + 4 = 0, 5*a - 4 = a - 2*n. Solve a = 2*w - r - 3 for w.
2
Let k = 6 + -3. Let m = 21 + -20. Suppose 3*x - 6*i + 11*i - 49 = 0, -3*x = -5*i + m. Solve -x - 7 = -k*t for t.
5
Suppose 117*h - 54*h - 441 = 0. Solve 7*j - 5*j = h*j for j.
0
Let k(c) = -c + 17. Let r(t) = -t + 14. Let m(q) = -2*k(q) + 3*r(q). Let y be m(4). Solve -8 + y = o for o.
-4
Suppose 206 - 2569 = -102*b + 6715. Solve 163*x + 370 = b*x for x.
-5
Let d(w) = -w**3 - 4*w**2 - w + 12. Let i be d(0). Solve 8*m + 20 = i*m for m.
5
Suppose -y - 9 = -0. Let b(n) = 4*n - 5. Let j be b(y). Let m = 41 + j. So | {
"pile_set_name": "DM Mathematics"
} |
/t**(-8))**(-2/23) assuming t is positive.
t**(-695/23)
Simplify (w*w**24/w*w*w**8*w)**1 assuming w is positive.
w**34
Simplify (p**(2/9)/(p**9*p*p))**(1/54) assuming p is positive.
p**(-97/486)
Simplify r**(3/4)/r**(-3/4)*r*r**19*r*r*r**(-5/2)*r assuming r is positive.
r**22
Simplify (m**(-12)/m**18)/((m/m**19)/m**16) assuming m is positive.
m**4
Simplify (n**4)**(-1/29)/((n*n**(-1/3))/n**(5/4)) assuming n is positive.
n**(155/348)
Simplify ((u**(-6/17)/u)/u)**(-1/22)*(u*u**(2/59))**48 assuming u is positive.
u**(548716/11033)
Simplify (h**3)**5*h**(4/9)/h**(3/7) assuming h is positive.
h**(946/63)
Simplify ((x/(x/(x/x**(-19)))*x**(-2/13))**(-40))**(-3/8) assuming x is positive.
x**(3870/13)
Simplify (t**(2/7)/t)**(3/13)*(t**(-7/3))**(-7/5) assuming t is positive.
t**(4234/1365)
Simplify (f**4/(f*f*f**(-13)))/(f**(-3)*f)**31 assuming f is positive.
f**77
Simplify (u**(-12))**(-10)*(u/(u*u/u**(-6)))**(-3) assuming u is positive.
u**141
Simplify (y**(-1)/y)**(-36)/(y**0/(y**(-1/3)/y)) assuming y is positive.
y**(212/3)
Simplify (d/(d/(d**(24/5)/d))*((d/(((d**(-2/7)/d)/d)/d))/d*d*d)/d)**37 assuming d is positive.
d**(10471/35)
Simplify (x**(3/16)*x)/x**(3/16)*x/(x/(x*x/(x**(-1/16)/x)))*x**(1/7) assuming x is positive.
x**(471/112)
Simplify ((f/(f/f**(-2/3)))**28/(((f/f**(-3))/f)/(f/(f*f/f**(2/11)))))**(-2/103) assuming f is positive.
f**(1484/3399)
Simplify ((c*(c/(c**9/c))/c)/c*c**12*c**12/((((c*c/(c/c**(-5))*c*c)/c)/c*c)/c))**(-8/3) assuming c is positive.
c**(-160/3)
Simplify ((n*((n**(-2/5)/n)/n)/n*n**(-4/5))/(n**0)**28)**(-30) assuming n is positive.
n**96
Simplify (((c*c*(c/c**(-5))/c*c)/c)/c)**41/(c**(1/23)*c**11) assuming c is positive.
c**(5404/23)
Simplify ((v*v**(-5))/v*v)**(-7/2)*(v/(v/(v*v/(v*v*v**(-20)/v*v))))/v**10 assuming v is positive.
v**24
Simplify ((r*r**(-8))/(r/(r**(1/14)*r)))**(-49) assuming r is positive.
r**(679/2)
Simplify (l**(-1/25))**3*l**8*l**(-33)/l*l assuming l is positive.
l**(-628/25)
Simplify ((((l*l**(11/8))/l)/l)/l**(-13))**2 assuming l is positive.
l**(107/4)
Simplify ((m*m**(-3)*m*m/(m*m*m**(7/6)))**38)**(-1/23) assuming m is positive.
m**(361/69)
Simplify u/(u*u/u**(14/3)*u)*u/u**(-6/7)*u*(u*u/(u**(-5)*u*u))**(-4/3) assuming u is positive.
u**(-8/7)
Simplify ((((z/z**(-1/10)*z)/z*z)/z**(1/3))**11)**(2/77) assuming z is positive.
z**(53/105)
Simplify ((u/((u**34/u)/u))/(u**(-3/11)/u))**(-4/7) assuming u is positive.
u**(1308/77)
Simplify (s*s**(-5/3)*s*(s*s**(-1))/s)/(s**(-7/2)/(s/(s*s**15/s))) assuming s is positive.
s**(-67/6)
Simplify (h**(-15))**(-8)*(h**(2/81)*h)/(h/h**(-30/7)) assuming h is positive.
h**(65624/567)
Simplify (y*(y**(-10/7)*y)/y)/y**11*y**(-7)/y**(3/7) assuming y is positive.
y**(-132/7)
Simplify (j**(-1/13)*j**(-2)*j*j*((j**(-1)*j)/j)**(-20))**(-4/9) assuming j is positive.
j**(-1036/117)
Simplify ((p**(-1/2)/((p*p**(-4))/p*p))/(p**(6/11)*p**(-2)))**11 assuming p is positive.
p**(87/2)
Simplify (p*p**1)**(-6/5)/(p/(p*p**17))**(-26) assuming p is positive.
p**(-2222/5)
Simplify (d**(6/5)*d**(6/13))/((d**(1/9)/d)/(d*d**(-23))) assuming d is positive.
d**(-11378/585)
Simplify (x**22)**(-3/11)*(x/x**(-30))/((x**(13/3)/x)/x) assuming x is positive.
x**(68/3)
Simplify x/x**(-5)*x/x**(-7/4)*x**(4/3)*x*x/(x*x**(-4)) assuming x is positive.
x**(181/12)
Simplify w*w**(2/7)*w**(2/7)*w*w*w*w*(w/(w/(w*w**(-1/8)*w*w)))**(1/3) assuming w is positive.
w**(1097/168)
Simplify (j**9)**(-1)*j*j**(4/15)*j*j*(j**(-8)*j)/j assuming j is positive.
j**(-206/15)
Simplify ((s**(-6)/s**15)**(-27))**(2/19) assuming s is positive.
s**(1134/19)
Simplify (h**29/(h*h**0/h*h*h))**(17/3) assuming h is positive.
h**153
Simplify (x**(2/13)/x**3)/(x**(-3)/(x*x/x**(4/3))) assuming x is positive.
x**(32/39)
Simplify (a**2*(a*a/(a*a**(-6/23)*a))/a*a*a)/(a**(-2/25))**(-6) assuming a is positive.
a**(1599/575)
Simplify t/(t/((t**8*t)/t)*t)*t**(-6)*(t*t**(2/11)*t)**(-34) assuming t is positive.
t**(-805/11)
Simplify (n/(n/(((n/(((n*n*n/(n*n**(-8/5)*n*n))/n)/n)*n)/n)/n))*n**(3/5))/((n*n**(-1/3))/n*n*n**(-13)*n) assuming n is positive.
n**(37/3)
Simplify (t**(-2)/t)**(32/5)*(t/t**(2/23))**43 assuming t is positive.
t**(2307/115)
Simplify (j**(-2)/j)**(-20/7)*j/j**(-6/7)*j*j**(-11/4)/j assuming j is positive.
j**(215/28)
Simplify (i/(((i/((i/i**(-1/10))/i*i))/i)/i*i))/i**(-29)*i**(-22)*i**(-12) assuming i is positive.
i**(-29/10)
Simplify ((d*d/d**(-6))/d)/d*d/(((d/d**12)/d)/d)*d**(-1)/d**(1/4) assuming d is positive.
d**(75/4)
Simplify (w**(1/2)*w)**(-16/9)/((w*w**(1/9))/w**1) assuming w is positive.
w**(-25/9)
Simplify (((a**(-1/4)*a)**(-24))**18)**2 assuming a is positive.
a**(-648)
Simplify (h*h/h**(-4))**(1/36)/(h*h/(((h*h/(h**(1/3)*h)*h*h)/h*h)/h))**(-22/3) assuming h is positive.
h**(47/18)
Simplify y**(-5)/(y*y**(-4))*y**(-1/16)/y*y**9 assuming y is positive.
y**(95/16)
Simplify ((b*b**(-3/4))/b)**(1/10)*(b*(b**(1/5)*b)/b)**16 assuming b is positive.
b**(153/8)
Simplify (((g**(-1/5))**(17/4))**42)**26 assuming g is positive.
g**(-4641/5)
Simplify ((g**(1/4))**(13/5)/((g*((g*g/((g/((g/(g**9/g*g)*g)/g))/g))/g)/g*g)/(g*g/g**1)))**(3/16) assuming g is positive.
g**(459/320)
Simplify ((l**3*l)**(3/4)/(l**(-6)*l/(l/(l*(l**(-9)/l)/l))))**24 assuming l is positive.
l**456
Simplify (c**(-1/4)*c/(c/c**(1/4))*(c**0/c)/(c/c**2))**46 assuming c is positive.
1
Simplify ((z*z/z**(-12))/(z/(((((z/z**13)/z)/z*z)/z)/z)*z))/(z/((z*z**(-2/7))/z))**(1/68) assuming z is positive.
z**(-1437/476)
Simplify (s**(-3/13))**6*((s/(s*s/(s**2/s))*s)/s)**(12/13) assuming s is positive.
s**(-18/13)
Simplify ((d**(3/4)*d**(-14))**(-2/57))**(-4/19) assuming d is positive.
d**(-106/1083)
Simplify ((k**(-1)*k)**(-10)*(k*k**3)**29)**3 assuming k is positive.
k**348
Simplify (((m**(3/4))**9)**(-2/23))**(-1/90) assuming m is positive.
m**(3/460)
Simplify (r/(r*r**(-8))*r*r**(-2/35))**(1/5) assuming r is positive.
r**(313/175)
Simplify (u*u**(-2/11)*u*u)/(u*u**(6/11)*u)*(u/u**8*u*u*u)**(-8) assuming u is positive.
u**(355/11)
Simplify ((u*u**(-1/8))**24)**(-16/7) assuming u is positive.
u**(-48)
Simplify ((o*o/o**(-8)*o)/o)**(5/11)*o/(o/o**(-6/7))*o**(-3) assuming o is positive.
o**(53/77)
Simplify (r**(1/17)/(r**(-4)*r))/(((r*r*r**(3/5))/r)/((r/(r/(r*r/r**(2/27)))*r*r)/r)) assuming r is positive.
r**(10063/2295)
Simplify ((h**3/h*h/(h*((h*h**(-1/5)*h)/h*h)/h*h))/(h**(4/9)/(h*h**(-7)*h)))**42 assuming h is positive.
h**(-3304/15)
Simplify (x/(((x*x/((x/(x/(x/x**(-3))*x))/x))/x)/x*x))**(1/17)/((x*x*x**(-11)/x)/(x*x**(2/23))) assuming x is positive.
x**(4381/391)
Simplify (g**(-7/4))**(-31)*(g/g**(-3/23)*g)**(-3/10) assuming g is positive.
g**(24661/460)
Simplify (r**(-22/3)/(r**(-2/61)/r))**(-42) assuming r is positive.
r**(16142/61)
Simplify ((l*l/l**(1/15))/l)/(l**(-11/3)/l)*l*(l/(l/(l/l**(-3)))*l*l)/l*l*l**15 assuming l is positive.
l**(138/5)
Simplify ((x**7/x**8)/((x**2/x)/x)**(-1/3))**(-7) assuming x is positive.
x**7
Simplify (v/v**(-7)*v)**39*(v*v*v*v/(v/((v*v/(v/(v**8*v*v)))/v))*v*v)/(v**6*v) assuming v is positive.
v**359
Simplify g/g**(-4)*g**(-10)*g**(-1/19)/(((g/(g**(-6)*g))/g)/g) assuming g is positive.
g**(-172/19)
Simplify (x*x**(2/61)/x)/((x*x**39)/x)*(x**(-2/3)*x*x)**(-2/81) assuming x is positive.
x**(-578099/14823)
Simplify (y*y**1)**(-1)*y**(-3/19)*(y/y**22*y)/y assuming y is positive.
y**(-440/19)
Simplify (c**(-2/5)/(c**15*c*c))**(5/2) assuming c is positive.
c**(-87/2)
Simplify u**(5/3)/(u/(u/(u*u**(-2/3))))*u/u**(1/7)*u**(-1) assuming u is positive.
u**(25/21)
Simplify (t**(-6/11)*t**(7/4))/(t**(-1/4))**(-40) assuming t is positive.
t**(-387/44)
Simplify ((((r/(r*(r*r*(r**5*r)/r)/r))/r)/r**(1/2))/(r/(r/r**(-3))*r**(-2/3)))**(-5/6) assuming r is positive.
r**(115/36)
Simplify ((t*t*t**(2/13)*t)/t**8)/(t*((t*t*t**(-3))/t)/t)**(-8/5) assuming t is positive.
t**(-523/65)
Simplify ((g*g/g**1*g)**(-13/3)/(g**(1/5)/g*g**(2/7)))**50 assuming g is positive.
g**(-8560/21)
Simplify y**(-17)/y**(3/16)*y**(-13)*(y/(y*y**(-8/3)))/y assuming y is positive.
y**(-1369/48)
Simplify (n**8*(n/(n*n*n/(n**(4/7)/n)))/n)/(n**(-17)*n/n**(-4)*n) assuming n is positive.
n**(109/7)
Simplify ((m**0*m**(2/5))**(6/17))**(-21/2) assuming m is positive.
m**(-126/85)
Simplify ((k*k/(k*k/((k/((k**(1/7)*k)/k))/k)))/k**(-8))/((k**(-2)*k)/k**9) assuming k is positive.
k** | {
"pile_set_name": "DM Mathematics"
} |
1)/(-2)*83*2. Let f = -32 + n. What is the units digit of f?
1
Suppose 3512 = 2*o - 2*s, 2*s = -2*s. What is the hundreds digit of o?
7
Let g(t) = -t**2 - 10*t - 7. Let v be g(-9). Let d(c) = 0*c + 2*c - v*c - 1 + 3*c. What is the tens digit of d(6)?
1
Suppose 0*a = -4*a + 12. Suppose -t = 5*r - 104, 2*r - 6*r = a*t - 279. What is the tens digit of t?
8
Suppose -x = 4*x + 505. What is the hundreds digit of 3/9 - 4/(-6) - x?
1
Let n be (16/(-3))/((-2)/3). Let g = 4 + n. Suppose 0 = -3*z + 8*z - 3*h - 16, -g = -5*z + h. What is the units digit of z?
2
Let v(g) = 2*g**2 - 18*g + 75. What is the units digit of v(8)?
9
Suppose 0 = -6*x + 4*x + 1074. Suppose -2*r + 100 + 120 = 4*v, 5*r - 3*v = x. What is the tens digit of r?
0
What is the units digit of 389*(-12)/15*(-40)/16?
8
Suppose -3*t = -12 - 6. Let c(j) = -3*j + 1. Let f be c(t). Let d = f + 30. What is the tens digit of d?
1
Let f = -58 - -62. Suppose -428 = -4*a - f*o, 4*o = -3*a + 126 + 194. What is the tens digit of a?
0
Let x be -5 + (-2)/((-12)/6210). Suppose a = 5*v - x, 0 = 3*v + 2*a - 524 - 107. What is the units digit of v?
7
Suppose -6*u = 2 + 64. Let o(c) = c**3 + 21*c**2 + 10*c + 13. Let a be o(u). What is the units digit of (1 - -1)*a/42?
3
Let z = 460 + -282. What is the tens digit of (z/5 - -1)/(32/160)?
8
Let q(n) = -n + 7. Let g be q(-6). Suppose 2*u - 3*w = -5 - g, w = 3*u + 27. Let z = u + 21. What is the tens digit of z?
1
Suppose -5*b = 3*x - 22, -2*x + 1 + 5 = -b. Suppose 577 + 83 = x*l. Suppose d = -4*d + l. What is the tens digit of d?
3
Suppose -6*i + 70 = i. Let h be (2/4)/(5/i). Suppose 0 = -y - 3*n - h + 60, -285 = -5*y - 5*n. What is the tens digit of y?
5
Let y(w) = 2*w**2 + 4*w - 1. Let p be y(-3). Suppose -p*u + 3*u + 48 = 0. What is the units digit of u?
4
Let p = 142 - 128. What is the tens digit of p?
1
Let m = -12 + 8. Let w = m - -52. Suppose -6*j = -4*j - w. What is the units digit of j?
4
Suppose -o = -3*c + 5756, -14*c + 7672 = -10*c - 4*o. What is the hundreds digit of c?
9
Let v(i) = 6*i**2 + 3*i + 11. Suppose 2 + 6 = 5*u - 4*t, -4*t + 12 = 0. What is the tens digit of v(u)?
1
Let j = 495 + -160. What is the hundreds digit of j?
3
Let k = 18 + -9. Let p(q) = -q**3 + 11*q**2 - 15*q + 14. What is the tens digit of p(k)?
4
Let f = 2316 - 1850. What is the hundreds digit of f?
4
Let p = -16 - -20. Suppose -y - p = -7. Suppose -594 = -6*n - y*n. What is the tens digit of n?
6
Suppose 5*d = 2*l + 1 - 0, d = -4*l + 9. What is the tens digit of 3*l*48/4?
7
Suppose 2*a = -0*a + l + 16, 5*l - 10 = -5*a. Let s be 4/a - 132/36. Let k = 26 - s. What is the units digit of k?
9
Let f(z) = -17*z**2 - 16*z - 21. Let h(m) = -17*m**2 - 16*m - 22. Let t(q) = 3*f(q) - 4*h(q). What is the hundreds digit of t(-4)?
2
Let p(f) = f + 15. Let o be p(-14). Suppose -3*b - 4*q = o + 31, -2*q = 4*b + 36. What is the units digit of 137/4 + 2/b?
4
Let m(s) = -2*s**3 + 38*s**2 + 11*s. What is the hundreds digit of m(17)?
3
Let h be (23 + (2 - 2))/1. Suppose -h*s + 9 = -20*s. Suppose -5*f = -m + 49, -m - s*m - 4*f + 124 = 0. What is the units digit of m?
4
Let z = 2067 + -1548. What is the tens digit of z?
1
Suppose 6*p - 37 = -7. What is the units digit of 415/p + 1 + -1?
3
Suppose 3*x - 3 = 0, -5*z + 3*x + 2085 = -2*x. What is the units digit of z?
8
Suppose -3*c + 3*p + 10 = p, 5*p - 1 = c. Suppose c*g + 0*g = 8. Suppose g*o = -2*o + 120. What is the units digit of o?
0
Suppose n - 5*d = 174, -2*d - 20 = -7*d. What is the units digit of n?
4
Let n(o) = 592*o**2 + 7*o. What is the hundreds digit of n(-1)?
5
Suppose -z - 1 = 3*k + 3, z - 5*k = 12. Let b = -133 + 134. Suppose -b = -z*h + 37. What is the units digit of h?
9
Let y be -19 - (0 - (1 - -1)). Let h = -481 - -567. Let m = h + y. What is the tens digit of m?
6
Let x be 1*(-6)/8*-8. Suppose -3*r + x*r - 6 = 0. What is the units digit of r?
2
Suppose 3*p = -2*z - 1 + 2, z = 3*p + 14. Suppose -660 = -4*q + a - z*a, 3*q - 2*a = 515. What is the units digit of q?
9
Suppose -r - 2*x + 28 = 3*x, 5*x - 40 = -5*r. Suppose b = r*b - 266. What is the units digit of b?
3
Suppose 0 = 3*a - 7*a + 2*g + 14570, -2*a + 2*g = -7288. What is the units digit of a?
1
What is the tens digit of ((4356/(-5))/(-11))/((-6)/(-75))?
9
Suppose 4*p = y - 328, -3*y + 904 = 5*p - p. What is the units digit of y?
8
Let m(i) = -3*i**2 - 22*i - 5. Let z be m(-7). Suppose -4*l = -z*t - 348, 0*l + 5*l + 5*t = 465. What is the tens digit of l?
8
Let j = -42 + 32. Let g be (-5)/2*12/j. Suppose 5*q = g*a - 90, 4*q + 169 = 5*a + 2*q. What is the units digit of a?
5
Let z = -147 - -117. Let q be 0 - -53 - (-1 - -1). Let t = z + q. What is the tens digit of t?
2
Let m(t) = -t**3 + 30*t**2 + 48*t - 8. What is the units digit of m(19)?
5
Suppose 12*f = 3*f - 324. What is the hundreds digit of 3*(-8)/f*174?
1
Suppose -6*m + 13896 = 12*m. What is the tens digit of m?
7
Let k(n) = 3*n - 4. Let f be k(2). Suppose -g + 58 = 4*c, 3*c = -g + f*c + 43. What is the tens digit of g?
3
Suppose -3*x + t = -25, -3*x - 3*t = -x - 24. Let d(c) = c**2 - 10*c + 12. Let m be d(x). What is the units digit of 26/2 + 2 + m?
8
Let c(b) = -b**3 + 21*b**2 - 25*b - 40. Suppose 16*o - 190 = 6*o. What is the units digit of c(o)?
7
Let a(b) = -b**3 - 9*b**2 - 14*b + 9. Let l be a(-9). Let m be (-8)/(-2)*(5 - 4). Suppose m*r = -r + l. What is the tens digit of r?
2
Let j(t) = -t - 1. Let a(k) = 66*k - 5. Let n(o) = a(o) + j(o). What is the hundreds digit of n(2)?
1
Let d(x) = -159*x - 160. What is the tens digit of d(-9)?
7
Let b(n) = -3*n**3 + 18*n**2 + 44*n + 2. What is the units digit of b(-3)?
3
What is the units digit of 1*511*(-420)/(-147)?
0
Suppose 615 = -4*u + u. Let w = -277 - -286. What is the units digit of 2/9 - u/w?
3
Let m = -14 + 16. Suppose -2*n + 3*x = -4*n - 23, m*n + x + 17 = 0. What is the units digit of n/(-5) - 10/25?
1
Let z = -562 + 971. What is the hundreds digit of z?
4
Suppose y + 5 = -5*i, 0 = -4*i + 3*y + 22 - 7. Suppose i = -5*j - 8*j + 13. What is the units digit of j?
1
Let j = 182 - 84. Let h = j + 64. What is the units digit of h?
2
Suppose 30*f + 1775 = 55*f. What is the units digit of f?
1
Let q be (2 + -4 + 7)*1. Suppose 5*z + 406 = q*s + 71, -4*s - 4*z + 260 = 0. What is the units digit of s?
6
Let b be 4*(0 - (-4 + 3)). Suppose 2*g - 6 = -b*i, 4*g - 30 = 2*g + 2*i. Let c(l) = -l**3 + 12*l**2 - 10*l + 6. What is the units digit of c(g)?
7
Let q = -13 + 18. Suppose -4*k + 14 = 3*y - 12, 4*y - 33 = -q*k. Suppose -4*b = 2*m - 134, -3*m = -y*b - 3*b + 195. What is the units digit of b?
6
Let d be (8/(-24))/((-2)/12). What is the tens digit of (66/4)/(d/4)?
3
Suppose 313*x = 324*x - 7777. What is the hundreds digit of x?
7
Let f = -72 - -66. What is the tens digit of ((-2)/(16/f))/((-11)/(-528))?
3
What is the units digit of 19655*(12/60 + 0)?
1
Suppose 0 = -5*k - o + 7889, 4*k - 20*o - 6308 = -24*o. What is the thousands digit of k?
1
Suppose 5*r - 4413 = -148. What is the hundreds digit of r?
8
Let q = 22 + -20. Suppose -5*b - 3*w + 265 = 0, -q*b + 3*w - 53 = -3*b. What is the units digit of b?
3
Let s = -69 - -122. Suppose -87 = -5*r + 2*g, -1 = -3*r + 3*g + s. What is the units digit of r?
7
Suppose 0 = -0*c - 2*c + 3*k + 210, 3*c - 317 = 4*k. Suppose 4*p + c - 491 = 0. What is the units digit of p?
5
Let r = -221 + 378. What is the units digit of r?
7
What is the tens digit of 637 - (8/(-6))/(10/15)?
3
Let f be ((-27)/(-18))/(3/8). Suppose 13 = j + 4*h, 4*j - 5 = 3*h + 9. Suppose j*u = -5*v + 40, 0 = -v - 3*v + f*u + 64. What is the tens digit of v?
1
Suppose 2*k - 11 = 23. Suppose -18*i + k*i + 217 = 0. What is the tens digit of i?
1
Let s(t) = -4*t + 1. Let c be s(-2). Let g = 1 + c. Suppose 4*d - 2*h - 44 = 70, g = 2*h. What is the units digit of d?
1
Suppose 5*z - 34 = -2*i, 3*i - 5*z = -0*z + 51. Suppose i*p - 226 = 16*p. What is the tens digit of p?
2
Let z be (-1 + 11)/(4/(-26)). Suppose -27 = 8*c + 37. What is the units digit of (-1 + z)/(c + 7)?
6
Let j(d) = -2*d**3 + 41*d**2 + 49*d - 33. What is the units digit of j(21)?
5
Suppose -68*i + 17404 = -49*i. What is the units digit of i?
6
Let w(g) = 3*g**2 - 11*g - 25. What is the units digit of w(11)?
7
Suppose -5*t = -7*y + 4*y + 1421, -t - 952 = -2*y. What is the units digit of y?
7
Suppose 5*o + | {
"pile_set_name": "DM Mathematics"
} |
ple of 9 and q(a).
63
Let c = 170 - 154. What is the lowest common multiple of c and 26?
208
Let t = -602/3 - -4771/24. What is the common denominator of -11/9 and t?
72
Suppose -5*z = -78 - 2. What is the smallest common multiple of (-1)/(-4) - 46/(-8) and z?
48
Suppose -3*r = 2 - 8. Suppose -r*y + 9 = 3. Let t = 1 + 0. Calculate the lowest common multiple of t and y.
3
Let i(c) = -4*c**3 - 4 - 3*c + c + 3 - c**2. Let d be i(-1). Find the common denominator of 46 and (d - 2)/((-4)/(-93)).
2
Let n = 3327/635 + -5/127. What is the common denominator of 133/18 and n?
90
Let a be 890/60 - (-2)/12. Find the common denominator of 3/a - (-477)/40 and 27.
8
Suppose -4*f - 2*l - 834 = 0, 653 = -3*f - 3*l + 26. Let h = f + 1671/8. Find the common denominator of h and -13/9.
72
Let c = 28 - 14. Let q = 34 - 28. Calculate the smallest common multiple of q and c.
42
Let a = 164777/140 - 1177. Let z = 729440071/167503980 - 2/2791733. Let h = z + a. Calculate the common denominator of -149/6 and h.
6
Suppose -3 = 2*t - 5*t. Calculate the common denominator of t/(3/174*-5) and 121/10.
10
Suppose 6*j - j = m - 15, -m + 3*j = -17. Calculate the lowest common multiple of 372/18 + 2/6 - -1 and m.
220
Calculate the least common multiple of (-8)/(-12)*-3*-5 and 11.
110
Let c be 7*-6*3/30. Let v = c - -403/40. Calculate the common denominator of v and -3/8.
8
Suppose 0 = -4*r + 2*r + 44. Let w = 79 + -53. What is the common denominator of 17/3 and w/3*(-6)/r?
33
Let y = 1 - -3. Suppose -4*b = -9*b - 70. Calculate the lowest common multiple of y and (-522)/(-63) + 4/b.
8
Let z = 51533/12 + -4299. Let o = -54 + 154/3. Calculate the common denominator of z and o.
12
Suppose 3*g + 8 = 23. Suppose 5*b - 2*f - 26 + g = 0, 0 = b + 2*f + 3. Calculate the least common multiple of b and 5.
15
Let s = 5231/6 + -857. Calculate the common denominator of -82/15 and s.
30
Let g(r) = 2*r**2 - 2. Let f be (2/(-3))/((-1)/(-3)). Suppose 0 = -j + 3*u + 31, 0*j = 3*j - 5*u - 81. Calculate the least common multiple of j and g(f).
66
Let x = -4/1852165 - 67242850293/14817320. Let c = x - -4527. What is the common denominator of c and 21/(-5)*(-28)/(-24)?
40
Let p = 16 - 12. What is the smallest common multiple of 10 and p?
20
Let f be ((-678)/(-43872))/(109381/2). Let p = -16246764412621/5776911137456 + f. Let v = p + -1/7223. Find the common denominator of 67/16 and v.
16
Let g(r) = 3*r**2 - 11*r + 4. Calculate the lowest common multiple of g(4) and 10.
40
Let t be 6/2 + (-699)/36. Let b = t - -19. Find the common denominator of b and 5/14.
84
Suppose -26 = -5*m + 4. Calculate the least common multiple of m and (1*3)/(3/10).
30
Suppose -2*a = -2*l - 18, a = 3*a + 3*l - 3. What is the lowest common multiple of 11 and a?
66
Let w(h) = h**3 - h**2 - 2*h - 1. Let q be w(-2). Let g be -3*1/(q/(-12)). Calculate the common denominator of 71/9 and (-43)/(-9) + g/(-4).
9
Let o be 10/(-15) - (-8)/3. Suppose -4*z = c - 18, -5*c + 2*z - 6 = -o*z. Find the common denominator of 23/6 and c/(-4)*1 + -19.
6
Let b = 7 - 3. Suppose -3*w + 19 = 5*s, -w + 23 = 4*s + b*w. Let p = 14 + -6. Calculate the smallest common multiple of s and p.
8
Let v be (-588)/77*6/(-8). Let d = v + -719/66. Calculate the common denominator of -109/22 and d.
66
Let x = 38 + -83. Calculate the common denominator of ((-114)/x)/(2/(-10)) and (-11)/1*(-22)/12.
6
Suppose 0 = -5*x - 5*y + 125, 18 = -4*y + 6. Let g = -22141/8 - -2777. Calculate the common denominator of g and (-13)/(-2 + x/3).
88
Let y = -2006 - -40109/20. Calculate the common denominator of -29/8 and y.
40
Calculate the common denominator of 47/6 and (-188)/(-38)*2/8.
114
Let b = 11213/825 + -368/33. Calculate the common denominator of b and -27/10.
50
Let r be -1*4*10/(-10). Suppose -17 - 31 = -4*j + 3*s, -3*s + 48 = r*j. Calculate the least common multiple of 22 and j.
132
Let s = -11 - -25. Let n(o) = 2*o - 6. What is the lowest common multiple of s and n(13)?
140
Let z(r) = 2*r**3 - 2*r - 1. Let p be z(-1). What is the smallest common multiple of 16 and (-1 - 9)/(-2 - p)?
80
Let x be (-20)/(-28)*2/(-118). Let r = x - 10693/3717. Let a = -13917/784 - -1/784. Calculate the common denominator of a and r.
36
Let b(a) be the third derivative of -a**5/60 + 3*a**4/8 + 2*a**2. Let d be b(9). Suppose d*q = 3*q - 57. Find the common denominator of 23/2 and q.
2
Suppose -5*x - r = -x - 6, 4*r + 6 = -x. Suppose 0 = 2*p + 2*p - 8. What is the lowest common multiple of p and x?
2
Let x = -374027/73572 - -3/6131. Let k = 1/18101 + 1285151/362020. What is the common denominator of k and x?
60
Let q(m) = m**3 - 14*m**2 - 15*m + 8. Calculate the least common multiple of 56 and q(15).
56
Let a = -34 - -48. What is the least common multiple of a and 22?
154
Let j be (-3)/(-4) + (-53)/(-4). Let f(u) = -u**3 + 14*u**2 - u + 20. What is the lowest common multiple of 11 and f(j)?
66
Let y = 40 - 22. Let a(u) = 2*u + 1. Let c be a(3). Let f = c - -7. What is the lowest common multiple of f and y?
126
Calculate the common denominator of 107/44 and (-4)/(-6) - 69/54.
396
Suppose 0 = 2*o + 3*s - 4, 0*o - 13 = -o + 4*s. Let z(b) = -b**3 + 4*b**2 + 5*b + 6. Calculate the least common multiple of z(5) and o.
30
Let l be 8/28 - (-5708)/(-19929). Let c = -55040/2847 + l. Find the common denominator of c and -23/3.
3
Let i = 245/24 - 40/3. Find the common denominator of i and 268/56 - (0 + -2).
56
Let q = 296 + -580. Calculate the common denominator of -35/2 and (-6)/3 + q/(-16).
4
Find the common denominator of 610/110 + (-4 - -1) and -33/32.
352
What is the least common multiple of 2 and 30/(-4)*36/(-45)?
6
Let a be 1 - (1 + -1 + -2). Suppose 0 = -2*c + a*c - 7. Find the common denominator of (-58)/c - -1 - -2 and -40/3.
21
Suppose 12 = 5*z - 4*z. Let t = 6 + 0. Suppose t*d - d - 90 = 0. What is the least common multiple of d and z?
36
Let c = 1904818 + -15267075/8. Let p = c + 3558. What is the common denominator of -65/2 and p?
8
Let o = 10 - -6. Suppose -x = 4*h - 1 + 11, o = -4*h. Calculate the lowest common multiple of x and 2.
6
Let i = -1095/2 - -4405/8. Calculate the common denominator of i and (-20)/(-1)*8/(-15).
24
Suppose 0 = -2*i - 3*m + 12, 5*i + 5*m - m = 30. Suppose -2*r = r - 12. What is the least common multiple of i and r?
12
Let a(p) = p**2 + 14. What is the lowest common multiple of 12 and a(0)?
84
Suppose y - 11 = -0*y + x, 4*x + 4 = -y. Let n = y - -14. Calculate the smallest common multiple of n - (0 + 2 + 0) and 20.
20
Let r be 435/9 - (-2)/3. Suppose 4*b + r = 5*c, -3*c - 11 = -4*c + 2*b. Calculate the smallest common multiple of 5 and c.
45
Let b(k) = -k**2 + 7*k + 16. What is the lowest common multiple of 20 and b(6)?
220
Suppose -2*a + 12 = 4*y, y - 8 = -a - 4. Suppose -2 = -4*d + y. Calculate the smallest common multiple of d and 7.
7
Let z = 18 - 25. Let t = 3 - z. Suppose 3*b + 5*w - 30 = 0, -2*b - 3*w + 20 = -0*b. Calculate the least common multiple of t and b.
10
Let p(q) = 4*q + 1. What is the common denominator of 70/9 and p(-1)?
9
Let v = 532 + -5327/10. What is the common denominator of v and -27/32?
160
Suppose -4*u + 23 = -3*w, 0 - 1 = w. Calculate the common denominator of (-17)/u*(-30)/4 and -62/5.
10
Suppose -2*p = 2*n - 4, 3*n - 2 = 3*p + 4. Calculate the least common multiple of n and 10.
10
Suppose 4*u = 2*u + 24. Calculate the lowest common multiple of 78 and u.
156
Let a = 17/106 + -4007/530. What is the common denominator of 73/35 and a?
35
Let g = 379/78 + -14/39. What is the common denominator of g and (2/4)/(1/9)?
2
What is the smallest common multiple of 10 and (-11)/(1 + -2) - 3?
40
Let x = -10 + -5. Let n = -12 - x. Calculate the smallest common multiple of n and 2.
6
Calculate the common denominator of (-4)/(-72)*2*-31 and -3 - (4/(-22) - 2).
99
Let y = -942739/54 + 17457. Find the common denominator of 22/3 and y.
54
Let i(q) = q**3 - 4*q**2 + 4*q - 6. Let d be ((-2)/(-4))/(7/70). Suppose -d*z + 5 = 3*r - 6, 25 = 4*z - 3*r. Calculate the lowest common multiple of i(z) and 6.
30
Suppose 3*k = l + 51 - 20, 2*l - 28 = -4*k. What is the smallest common multiple of k and 1?
9
Suppose f - 4 = 4. Suppose 0 = v - 2 - f. What is the common denominator of -46/9 and v?
9
Let o = -13378 + 321121/24. What is the common denominator of 37/18 and o?
| {
"pile_set_name": "DM Mathematics"
} |
9). Find the second derivative of -24*r + 16*r**2 + 9*r**2 + d - 4 wrt r.
50
Let k(u) be the first derivative of u**7/70 + 2*u**5/15 - 4*u**2 - 14. Let c(m) be the second derivative of k(m). Find the third derivative of c(f) wrt f.
72*f
Let o(r) be the second derivative of 3*r**8/56 - 3*r**5/5 - 97*r**4/12 + r + 37. What is the third derivative of o(d) wrt d?
360*d**3 - 72
Let z(y) be the third derivative of 11/60*y**5 + 0*y**4 + 0*y + 10*y**2 + 1/15*y**6 + 0 + 0*y**3. Find the third derivative of z(r) wrt r.
48
Suppose 4*t - 340 = -u, -t = -0*t + 4*u - 100. What is the third derivative of 82*f**2 - t*f**2 - f**4 + 17*f**4 wrt f?
384*f
Find the third derivative of 0*i**3 - 17*i + 85*i**3 - 11*i**2 + 9*i**2 wrt i.
510
Let d(n) = -388*n**3 + 658*n**2 + 15*n. Let x(s) = 194*s**3 - 329*s**2 - 6*s. Let o(f) = 2*d(f) + 5*x(f). What is the third derivative of o(q) wrt q?
1164
Let i be 10/12 - (11/(-3) + 4). Let q(r) be the first derivative of i*r**2 + 2 - 7*r. What is the first derivative of q(y) wrt y?
1
What is the second derivative of -557 + 218*f**3 - 1198*f**2 + 2394*f**2 - 1198*f**2 + f wrt f?
1308*f - 4
Let u be (-4)/14 - 44/(-7). Find the second derivative of 6*s + 5*s - u*s + 6*s - 7*s**2 wrt s.
-14
Let h(f) be the first derivative of -15*f**4/4 - f**2/2 - 80*f + 64. What is the first derivative of h(v) wrt v?
-45*v**2 - 1
Let j(h) = h + 2. Let s be j(-10). Let u = s + 16. What is the third derivative of -11*y - y**4 - y**2 + u*y + 3*y wrt y?
-24*y
What is the third derivative of 10*b - 44*b**6 - 2304*b**2 - 4*b + 2319*b**2 wrt b?
-5280*b**3
Let y(b) be the first derivative of -b**8/80 + b**5/24 + 11*b**3/3 + 12. Let i(q) be the third derivative of y(q). Find the second derivative of i(f) wrt f.
-252*f**2
Let p(b) = 7*b + 129. Let t(c) = -12*c - 257. Let z(x) = -5*p(x) - 3*t(x). What is the first derivative of z(l) wrt l?
1
Let k(v) be the third derivative of -51*v**5/20 - v**4/12 + v**3/3 - 4*v**2 + 9*v. Find the second derivative of k(c) wrt c.
-306
Let i(j) be the second derivative of j**6/30 + 13*j**5/2 + 323*j**2/2 - 552*j. Find the first derivative of i(n) wrt n.
4*n**3 + 390*n**2
Let z(g) = -77*g**2 - 9*g + 464. Let t(b) = -37*b**2 - 5*b + 233. Let y(x) = 11*t(x) - 6*z(x). Differentiate y(p) with respect to p.
110*p - 1
Suppose -5*m + 4 = -3*m. Differentiate -7*u**3 - 11 - 5 + 2 + m wrt u.
-21*u**2
Let g(f) = f**3 + 5*f**2 - f - 7. Let m be g(-5). Let k be 12*((-6)/m)/12. Find the first derivative of u**3 + 3 - u**3 - 4*u**4 + 0*u**k wrt u.
-16*u**3
Let f(v) = v**4 + v. Suppose 7*h - 2*h = 35. Let w(t) = 7*t + 6*t - 7*t + h*t**4. Let k(m) = -5*f(m) + w(m). What is the second derivative of k(r) wrt r?
24*r**2
Let h be (-10)/(-15) - 5*16/(-24). Suppose -2*a + 6 = a. Find the second derivative of -9*t**4 + 0*t**4 - a*t**h + t**4 - 10*t wrt t.
-120*t**2
Let t(f) = f**3 + f. Let i(z) = 212*z**3 - 4*z - 183. Let v(o) = i(o) + 4*t(o). Find the first derivative of v(m) wrt m.
648*m**2
What is the third derivative of -152*g**2 - 49*g**4 + 0*g**4 + 119*g**2 wrt g?
-1176*g
Suppose -x - 18 = 4*s, -3*x + 5*s - 12 = -43. Suppose -5*b = -2*d, 4*d = b + 3*b. What is the derivative of -2*f**2 + b + 3 - 2 + x wrt f?
-4*f
What is the third derivative of -112*n**5 + 44*n - 233*n**5 + 440*n**2 - 441*n**2 wrt n?
-20700*n**2
Let o(p) be the third derivative of 11*p**5/30 + 7*p**4/24 - p**3/2 + 6*p**2 + 7. Find the second derivative of o(b) wrt b.
44
Let v be (-21)/(-14)*2*1/72. Let u(l) be the third derivative of 0*l**3 + 0*l - v*l**4 + 0 - l**2 - 1/12*l**5. Find the second derivative of u(q) wrt q.
-10
Let m(f) be the first derivative of 13/3*f**3 + 0*f - 7/2*f**2 - 6. What is the second derivative of m(q) wrt q?
26
Let k(b) be the third derivative of 14*b**6/15 + b**5/60 + 155*b**3/3 - 45*b**2. Differentiate k(t) wrt t.
336*t**2 + 2*t
Let j(k) be the first derivative of 28 + 0*k + 27/2*k**2 - 25/3*k**3. Find the second derivative of j(o) wrt o.
-50
Find the second derivative of -41*n**2 - 5*n + 0 + 1 + 31*n + 9*n wrt n.
-82
Suppose 11 + 19 = 10*w. Let f(c) be the first derivative of 3/2*c**4 - 6 + 0*c**w + 0*c**2 + 8*c. Differentiate f(l) wrt l.
18*l**2
Suppose 5*j = -0*j + 5*i - 15, -1 = 2*j - i. Let d(z) be the second derivative of 5/12*z**4 + 0 + j*z**2 + 2*z + 0*z**3. Differentiate d(h) with respect to h.
10*h
Differentiate -157 + 66 + 32*t + 53*t + 4*t wrt t.
89
Let h(g) = g + 5. Let k be h(0). Let r be 12/(-20) + 13/k. Differentiate 8*o**2 + 3 - 17*o**r + 2*o**2 with respect to o.
-14*o
What is the second derivative of 13*z**4 + 33*z - 8*z**4 - 87*z - 2 - 2*z**3 - 21*z**4 wrt z?
-192*z**2 - 12*z
Let p = -949 - -675. Let y be p/(-18) + 12/(-54). Find the second derivative of -4*j**5 - y*j + 4*j + 0*j + 5*j wrt j.
-80*j**3
What is the derivative of 426*l + 240*l - 72*l + 268*l + 362 - 116*l wrt l?
746
Let i(f) = -676*f**3 + 13*f + 1. Let g(o) = -678*o**3 + 14*o + 1. Let n(m) = -5*g(m) + 4*i(m). Find the second derivative of n(r) wrt r.
4116*r
Suppose -99*v = -98*v. Let i(u) be the third derivative of v*u + 0 - u**2 + 5/6*u**3 + 1/24*u**6 + 0*u**4 + 0*u**5. What is the first derivative of i(j) wrt j?
15*j**2
Let f(y) = 2*y**2 + y + 1. Let c(s) = -113*s**2 + 10*s + 137. Let t(i) = 3*c(i) - 30*f(i). What is the derivative of t(n) wrt n?
-798*n
Let k(c) be the first derivative of 7 - 7*c**3 + 0*c + 0*c**5 + 7/3*c**6 + 0*c**2 + 0*c**4. What is the third derivative of k(m) wrt m?
840*m**2
Let g(l) = l**2 - 6*l + 6. Let n be g(4). Let p be 7 - (3/1 + n). Find the third derivative of -3*w**2 - 25*w**p + 4*w**4 + 29*w**6 - 4*w**4 wrt w.
480*w**3
Let x(i) be the second derivative of -i**7/280 + 17*i**4/12 + 8*i**3/3 - 4*i. Let r(k) be the second derivative of x(k). Differentiate r(l) wrt l.
-9*l**2
Let t(x) = 96*x**2 + 254. Let r(b) = -96*b**2 - 257. Let h(i) = 2*r(i) + 3*t(i). Find the first derivative of h(u) wrt u.
192*u
Let q = 193 - 189. Let c(u) be the first derivative of 9 + 0*u**q + 0*u**3 - 11/5*u**5 + 0*u - 5/2*u**2. What is the second derivative of c(y) wrt y?
-132*y**2
Let h be ((-6)/2)/((-6)/22). Let f = -6 + h. Find the third derivative of 2*j**5 + j**2 + j**2 + 2*j**2 + 2*j**f wrt j.
240*j**2
Suppose h + 56 = 5*h - g, h = 4*g + 29. Differentiate -2 + h*m**4 - 7 + 4 wrt m.
52*m**3
Let o(g) be the second derivative of -5/24*g**4 - 4*g**2 + 5/6*g**3 - g + 0. Let d(b) be the first derivative of o(b). What is the derivative of d(s) wrt s?
-5
Differentiate 2*s + 5*s + 14*s + 6*s - 100 with respect to s.
27
Let p(a) be the second derivative of a**6/30 - a**4/8 - a**3/2 + 14*a. Let t(h) be the second derivative of p(h). Differentiate t(i) with respect to i.
24*i
Let j be 56/35*(-10)/(-4). Suppose 2*x + j*i + i - 45 = 0, -4*x + 20 = -4*i. What is the second derivative of -810*n**3 - 3*n**4 + 810*n**3 - x*n wrt n?
-36*n**2
Let f(n) be the third derivative of -n**8/840 + n**6/120 - n**3/6 + n**2. Let s(w) be the first derivative of f(w). Find the third derivative of s(t) wrt t.
-48*t
What is the third derivative of 110*p**5 - 88*p**2 - 41*p**2 - 218*p**5 - 63*p**2 wrt p?
-6480*p**2
Let x(k) be the second derivative of 39*k**5/4 + 143*k**4/12 - 114*k. What is the third derivative of x(h) wrt h?
1170
Suppose 2 + 5 = -w. Let l(k) = 3*k + 11. Let u(i) = -8*i - 33. Let b(q) = w*l(q) - 2*u(q). Find the first derivative of b(s) wrt s.
-5
Let y(s) be the third derivative of -s**9/504 - 6*s**7/35 + 2*s**5/15 + s**3/3 - 3*s**2 - 3. What is the third derivative of y(j) wrt j?
-120*j**3 - 864*j
Let a(s) = -s**2 + 3*s + 2. Let m be a(3). What is the third derivative of -m*r**2 + 9*r**5 - 3*r**2 - 11*r**5 - 7*r**5 wrt r?
-540*r**2
Let n(q) = 404*q**2 + 92*q + 21. Let f(r) = 404*r**2 + 93*r + 18. Let g(y) = 7*f(y) - 6*n(y). What is the second derivative of g(h) wrt h?
808
Let o(t) = 480*t**4 + 6*t**3 + 3*t + 173. Let y(x) = -479*x**4 - 4*x**3 - 2*x - 172. Let u(j) = -2*o(j) - 3*y(j). What is the first derivative of u(k) wrt k?
1908*k**3
Suppose -14*x = -19*x + 10. What is the third derivative of 2*o**2 - o**x - 50*o**3 + 7 - 5 + 2*o**2 wrt o?
-300
Let s(r) = 9*r**3 - 28*r**2 - 36*r + 429. Let d(o) = -3*o**3 + 8*o**2 + 12*o - 143. Let j(p) = -7*d(p) - 2*s(p). What is the first derivative of j(m) wrt m?
9*m**2 - 12
Let a(f) be the second derivative of 126*f**5/5 - 70*f | {
"pile_set_name": "DM Mathematics"
} |
+ 1077 + 46 = t, -c*t - 1890 = -5*f. Calculate the remainder when f is divided by 9.
7
Let k(z) = -39*z - 7. Let f be k(-3). Calculate the remainder when 1*2 + f/8*4 is divided by 6*(-5)/(-3)*2.
17
Let f = 8792 - 8651. Calculate the remainder when 1824 is divided by f.
132
Let f(i) = -19*i + 345. Suppose 4*n + 4*v - 56 = 0, 0 = 2*n + 3*v - 12 - 13. What is the remainder when f(n) is divided by 3?
1
Suppose -4*y - 2*j - 84 = 0, 98 = -5*y - 3*j + 4*j. What is the remainder when (304/y)/(6/(-60)) is divided by 31?
28
Suppose -81*v = 1429 - 13498. Let w(o) = -o**3 - 4*o**2 - 4*o - 5. Calculate the remainder when v is divided by w(-4).
6
Let u = 13230 + -11320. Calculate the remainder when u is divided by 633.
11
Let u = 1204 - 1093. Calculate the remainder when 420 is divided by u.
87
What is the remainder when 298 is divided by ((9/3)/(-3))/(1/(-149))?
0
Let k(d) = -6456*d**3 + d**2 - 1. Let l be k(1). Let j(b) = 78*b - 310. Let t be j(4). What is the remainder when 88 is divided by l/(-144) + t/12?
43
Let f(k) = k**2 - 3*k + 4. Calculate the remainder when -6 - 13508/(-572)*13 is divided by f(3).
1
Suppose 88*u - 99*u + 16478 = 0. What is the remainder when u is divided by 75?
73
Suppose -2*s + 27 + 7 = 0. Suppose -5*u + 474 = -1401. Let h = 493 - u. What is the remainder when h is divided by s?
16
Suppose -3*w - 11 = -5*o - 6, -5*w = o + 27. Calculate the remainder when 8*((-21)/w + 4/5) is divided by 16.
8
Suppose -4*y = -3*o + 892, 129*o - 131*o = 2*y - 562. Calculate the remainder when 1153 is divided by o.
1
Let r be (-1 + 2 + -6)*-5. Let k = 42 - r. What is the remainder when (-2)/((-3)/45 - 0) is divided by k?
13
Calculate the remainder when 36064/308 - (-1)/(-11) is divided by 34.
15
Suppose -11 = -y - 13. Let n be ((-70)/15)/(y/6). Calculate the remainder when ((-469)/n)/((-1)/2) is divided by 35.
32
What is the remainder when 558 is divided by (-152)/(-1) - (39 + -32)?
123
Let j(p) = -3*p**3 + 4*p**2 + 6*p + 2. Calculate the remainder when 268 is divided by j(-2).
28
Let y(v) = 3 + v**3 - 6*v + 4*v - 6*v - 2*v**2. Let l be y(4). Suppose c + 2*i = -0*c + 15, l*i = c + 5. Calculate the remainder when 25 is divided by c.
4
Let q(w) = -w**2 + 3*w - 2*w + 61 - 55. Let p be q(-6). Let g = p - -45. Calculate the remainder when 42 is divided by g.
6
Let n(f) = -5*f**3 - 7*f**2 + 38*f + 184. What is the remainder when n(-7) is divided by 319?
14
Let h = -1718 + 1731. Calculate the remainder when 155 is divided by h.
12
Suppose 54*n - 101906 = -42776. Suppose -2*b = b - 4*d - 41, -5*b + d + 91 = 0. What is the remainder when ((-10)/(-15))/(10/n) is divided by b?
16
Suppose 5*h - 4*h + 3*x + 7 = 0, 3*h + 5*x + 9 = 0. Let s(c) = c**2 - 55 + h*c + 4*c + 10 + 0*c. What is the remainder when 186 is divided by s(6)?
24
Let b = -167 + 169. Suppose -4*j = b*u - 74, -9*j + 5*j + 128 = 4*u. Calculate the remainder when u is divided by 7.
6
What is the remainder when 38308 is divided by (-40)/300 - (-4925)/375?
10
Let r(w) = 5*w**2 - 14*w + 2. Suppose -4*v - 6 = -2*a, 3*a - 7 = -0*v + 4*v. Let o be 6 - 9 - 9/v. Calculate the remainder when r(o) is divided by 26.
20
Let m(l) = 14*l**2 + 3*l**3 + 23*l + 14*l - 2*l**3 - 36*l + 24. Calculate the remainder when 20 is divided by m(-14).
0
Let b = 114 - -72. Let m be -2 - (b/(-15) + 2/5). Suppose m*y = 5*y + 45. What is the remainder when y is divided by 6?
3
Let h(i) = -5*i**3 + 4*i**2 - i - 14. Let z be 36/(-16) + (-15)/20. What is the remainder when h(z) is divided by 40?
0
What is the remainder when 11328/516 - (-40)/860 is divided by (-1 - 0) + (10 - -2)?
0
Suppose -30 = 6*c - 96. Let j(b) = b**3 - 14*b**2 + 43*b - 21. What is the remainder when j(c) is divided by 31?
27
Let s = 65913 - 42858. What is the remainder when s is divided by 11?
10
Let z be 0 - 0 - (-1 - -444). Let k be z/(-7) - 36/126. Let p = 125 - k. What is the remainder when p is divided by 9?
8
Let x = -176 - -178. Suppose x = t, -3*n + 6*t - 5*t = -40. Calculate the remainder when n is divided by (4 + -2)/(2/3).
2
Suppose -16*q - 212*q = -6*q - 9768. Calculate the remainder when 2151 is divided by q.
39
Suppose -a + 2*p - 4 = 0, -4*a + p - 24 = -8. Let w(k) = -3*k - 12. Let h be w(-5). What is the remainder when 118 is divided by h*(a + 3) - -43?
38
Suppose -13*w = 21*w - 251 + 13. What is the remainder when w is divided by 6?
1
Let r(f) be the second derivative of f**4/4 + 8*f**3/3 + f**2/2 - 19*f. Let m be r(-5). What is the remainder when 37 is divided by -1*(-99)/6*m/(-6)?
4
Suppose 2*y - 343 = -v + 254, -4*y + 1206 = -2*v. Calculate the remainder when y is divided by 171.
129
Let p = 44562 + -44552. Suppose 290 = -2*a + 7*a. What is the remainder when a is divided by p?
8
Suppose -3*s + 95 = y - 10, 0 = 2*y - 3*s - 192. Calculate the remainder when 884 is divided by y.
92
Suppose -15*y - 1384 = 491. Let c = y + 98. Let x = c + 42. Calculate the remainder when 37 is divided by x.
7
Suppose -3*n = -5*s - 16, 3*s - 2*s = 5*n - 34. Let t(g) = 16*g + 96. What is the remainder when t(n) is divided by 30?
28
Suppose -13*u - u + 3640 = -7*u. Calculate the remainder when 1561 is divided by u.
1
Suppose -4*k + f - 171 = 187, -5*k + 3*f = 451. Let n = k + 91. What is the remainder when 131 is divided by 0 - -47 - (n + 1)?
43
Let c = -7352 - -7592. What is the remainder when 500 is divided by c?
20
Let m = -8834 - -9317. Calculate the remainder when m is divided by 186.
111
Let z(n) = 57*n**2 - 100*n + 44. What is the remainder when 3883 is divided by z(2)?
67
What is the remainder when (-2684)/(-18) + 60/216*(-34)/85 is divided by (-70)/3*30/(-20)?
9
Suppose 1710 = 5*l - 2*z + 1034, 6 = -2*z. Suppose 0 = d + 2*u - 3*u - 34, 5*d - 3*u = 180. What is the remainder when l is divided by d?
17
Let l(h) = -26*h**3 - 17*h**2 + 25*h**3 - 16*h + 0*h + 19. Suppose m + 3*m = 444. Calculate the remainder when m is divided by l(-16).
16
Let u be ((-3)/(3/4))/(-1). Suppose 4*m + 4*r + 20 = 0, -u*r + 2*r - 10 = -3*m. Suppose m = 5*x - 4*x - 15. Calculate the remainder when 43 is divided by x.
13
Let i = -12 + 16. Suppose -4*k - i*t + 172 = 0, 38 = 4*k - 4*t - 126. What is the remainder when 166 is divided by k?
40
Suppose 0 = -134*v + 312820 + 214872. Calculate the remainder when v is divided by 54.
50
Let m = 18946 + -18908. What is the remainder when m is divided by 15?
8
Let g be 12 + -5*6/(-15). Suppose g + 30 = 2*i. Let b(v) = -v + 76. Calculate the remainder when 158 is divided by b(i).
50
Let c be (6 - (-8)/4) + 18/(-6). Suppose -23*a + 2052 = -c*a. Calculate the remainder when a is divided by 30.
24
Suppose 3*f - 11 - 4 = 0. Suppose -2*y - 2*b = 8, -4*y - 52 = -f*b + 9. Let n(h) = -10*h - 20. What is the remainder when n(y) is divided by 24?
22
Let o = -28 - -78. Let a(l) = 3*l**3 - 32*l**2 + 71*l - 38. Calculate the remainder when a(9) is divided by o.
46
Let h(z) = -2*z**2 - 144*z - 76. Let v = 94 - 4. Calculate the remainder when h(-66) is divided by v.
86
What is the remainder when 75 is divided by 1 + -8 - 13/((-143)/319)?
9
Suppose -4*q = 3*d - 102 - 129, 3*q - 2*d - 169 = 0. Let b be (1 - 2)*58 - 0. Let i = b + 87. Calculate the remainder when q is divided by i.
28
Let x = -10686 + 10703. What is the remainder when 97 is divided by x?
12
Suppose 21*q = 20*q + 4. Suppose -s + 79 = q*s - t, 0 = 2*t + 8. What is the remainder when 28 is divided by s?
13
Suppose 5*p - 141 = -g, 8*p - 6*p + 457 = 3*g. Calculate the remainder when g is divided by 7.
4
Calculate the remainder when 129 + (14 - 23) - (-4 - -6) is divided by 38.
4
Let w = -171 - -178. Suppose 54 = w*x - 261. Calculate the remainder when x is divided by 8.
5
Let w = -21999 + 22156. What is the remainder when 2975 is divided by w?
149
Suppose 4*a + 71 = -293. Let z = a + 95. Suppose k - z*k = 5*o - 89, o - 71 = -2*k. Calculate the remainder when k is divided by 21.
17
Suppose 5*w + 3*v - 414 = 46, 184 = 2*w + 4*v. Let n(h) = h**2 + 8*h. Let t be n(-7). What is the remainder when w is divided by (12/5)/(t/(-70))?
20
Suppose 96*i + 506 = 142*i. Let l(h) = 3*h**2 + 5*h - 6. What is the remainder when l(4) is divided by i?
7
What is the remainder when (-4)/(-18)*-12*((-40337)/22 - -11) is divided by 221?
219
Let r(y) = -5*y + 4 + 8*y + 4*y + 2. Suppose -14*m + 232 = -10*m. What is the remai | {
"pile_set_name": "DM Mathematics"
} |
Let n = -34542 - -34541.99976681. Round n to five dps.
-0.00023
Let z = -0.073369 - -937.983369. Let b = z - 934. Let p = 3.910161 - b. Round p to five dps.
0.00016
Let n = -0.331 + -0.019. Let i = -2.94 - n. Let t = -2.59000123 - i. Round t to seven dps.
-0.0000012
Let p = -3609.019021 - -3609. Round p to three decimal places.
-0.019
Let n = 1089.7 + -918. Round n to the nearest 10.
170
Let g = -215 + 503. Let v = g + -287.9999737. Round v to five dps.
0.00003
Let l = -97.26 - -97.25999995691. What is l rounded to 7 decimal places?
0
Let s(v) = 217*v - 1430. Let n be s(21). Round n to the nearest one thousand.
3000
Let m = -31.5 - -30.9835. What is m rounded to two decimal places?
-0.52
Let j = -3268814318296515814.00000211 - -3268814361862332635. Let u = j + -43565816369. Let r = u - 452. Round r to seven dps.
-0.0000021
Let q = 0.2955 + 1480.7045. Let g = q + -1487.43. What is g rounded to 0 dps?
-6
Let s = 0.6504 + 0.1961. Round s to two decimal places.
0.85
Let i = 85 - 59. Let n = -37474030.999999 + 37474005. Let l = n + i. Round l to 5 decimal places.
0
Let t(b) = -16804*b**3 + 19*b**2 - 23*b + 8. Let n be t(-24). Suppose -n = 474*k - 461*k. Round k to the nearest 1000000.
-18000000
Let v = 63455 + -63457.8481. What is v rounded to 2 decimal places?
-2.85
Suppose -2889*b + 2894*b - 506607 = -1137. Let l be 9*(-2)/2*-3233. Suppose 4*m - l = t - b, 4*m = -3*t - 72009. Round m to the nearest 10000.
-20000
Let j = -36 - -71. Let l = -16401.2727985 + 16436.2728. Let p = l - j. What is p rounded to six decimal places?
0.000002
Suppose -4*r + 101376564 = 4*y, 0 = -r + 11 - 6. Suppose -y - 42485864 = -19*k. Round k to the nearest one hundred thousand.
3600000
Let g = 542449 - 542445.87363. Let q = g + -2.6663675. Let y = q - 0.46. Round y to 6 decimal places.
0.000003
Let v be (4/12)/(1/6). Suppose v*d = 6*d - 20280000. What is d rounded to the nearest 100000?
5100000
Let w = 4232.99995314 - 4233. What is w rounded to 6 decimal places?
-0.000047
Let z = 5684.5 + -5684.5029567. What is z rounded to 3 dps?
-0.003
Let j = 2869157228 + -2869159133.000907. Let l = -1905 - j. What is l rounded to 4 dps?
0.0009
Let c = 40395 - 40298.645. What is c rounded to the nearest 10?
100
Let d = 17569 + -18037.35. Let k = 466 + d. Round k to the nearest integer.
-2
Let c = 1191.7539 + 0.2461. Let v = c + -1191.433. Round v to two decimal places.
0.57
Let c = -1493.1 - 165.3. Let t = c + 1341. Round t to the nearest ten.
-320
Let l = 54.018 + -54. Let h = -0.0002 - l. What is h rounded to 2 dps?
-0.02
Let s = 266 + -263.39. Let i = -3.9 + s. Let o = -1.29816 - i. Round o to three decimal places.
-0.008
Let p = -568 - -577. Let y be (135/(-18))/(p/240). What is y rounded to the nearest 1000?
0
Let o = -2732 - -2693.4. What is o rounded to the nearest integer?
-39
Suppose 22 = -2*x + 32. Suppose -i = -x*i + 12. Let f be (3/i + 214)/(4/16). What is f rounded to the nearest 100?
900
Let f = -8.813 - 782.607. Let k = -782 - f. Let u = -10 + k. What is u rounded to 1 decimal place?
-0.6
Let m = 0.3628 - 0.36287866. What is m rounded to 5 dps?
-0.00008
Let d = -1078.9967174 - -1079. Round d to four dps.
0.0033
Let u = -134015.761 - -133939. What is u rounded to the nearest 10?
-80
Suppose 0 = 112*r - 115*r + 9. Suppose -r*y = 4*p + 4649980, y - 6199980 = 5*y + 4*p. What is y rounded to the nearest one hundred thousand?
-1600000
Let s = -1570.70006575 - -1570.7. Round s to five dps.
-0.00007
Suppose -4*u - 288433 = -1233517. Let i = u + -394471. What is i rounded to the nearest ten thousand?
-160000
Let x = -1.89 + 1.8. Let r = 2.09 + x. Let g = 6.7 - r. Round g to the nearest integer.
5
Let c = -32.2 + 30. Let j = -20.2 - c. Let l = j - -18.096. What is l rounded to two dps?
0.1
Let a = -226 - -225.75. Let d = a - 0.35. Round d to the nearest integer.
-1
Let w = -7358.000025776 - -7358. What is w rounded to 6 dps?
-0.000026
Let k = 26309 + -26498.865. Round k to 0 decimal places.
-190
Let w = 7.73 - 2.16. Let a = w + 11.66. Let q = a + -18. What is q rounded to one decimal place?
-0.8
Let p = -541234.12 + 541479.12099. Let w = p - 245. Round w to four decimal places.
0.001
Let u = -120 + 120.209. Let o = u + 109.791. Let l = -110.00000865 + o. What is l rounded to six dps?
-0.000009
Let a = -96.7 + 99. Let w = 37.8 + a. Round w to the nearest integer.
40
Let x = 21 - 6. Suppose 19*c - 280 = x*c. Let j be -1396216*185/c - 8/14. What is j rounded to the nearest 100000?
-3700000
Let x = 472 + -127. Let w = 30.32 - 351.22. Let c = x + w. Round c to zero decimal places.
24
Let d = 1387039774.83875161487566634 - -0.06129248512433366. Let g = d + -1387039836. Let t = g - -61.1. What is t rounded to 5 dps?
0.00004
Let i = -2314 + 2313.78436. What is i rounded to two decimal places?
-0.22
Let k be (-34)/(-153) - 4/18. Let u = 2 - k. Let y(p) = -995001*p**2 - 2*p + 8. Let f be y(u). What is f rounded to the nearest one hundred thousand?
-4000000
Let k(h) = -h**3 - 11*h**2 + 10*h - 24. Let t be k(-12). Suppose 3*z - 93900020 = -4*r - t*r, 0 = -2*z - r + 62600005. Round z to the nearest one million.
31000000
Let c = 45.9 - -601. Let k = 636 - c. What is k rounded to one dp?
-10.9
Let q = -124 + 123.9178. Let b = 1.529 + -1.46. Let t = b + q. What is t rounded to three decimal places?
-0.013
Let d = 11111.9987149 - 11112. Round d to 4 decimal places.
-0.0013
Let j(f) = -f + 43. Let c be j(7). Let i = c + -59. Let n(a) = a**3 + 23*a**2 - 4*a - 6. Let w be n(i). Round w to the nearest 10.
90
Let k = 13.898 - -3.232. Round k to the nearest 10.
20
Let c = 9209 - 9201.371. Round c to 1 dp.
7.6
Let p = -448.58 + 448.5799958514. Round p to six decimal places.
-0.000004
Let f = 0.20527815 - 0.13358. Let t = f - 0.0717. Round t to seven decimal places.
-0.0000019
Let o = -2.2214 + 2.221489597. Round o to 6 dps.
0.00009
Suppose 0 = i + i - 4. Let l be i/2*1 - (-3 + 1). Suppose 4*b = 3*u + l*b + 579001, -192995 = u + 5*b. What is u rounded to the nearest 10000?
-190000
Let h = 27.1 + -25.12. Let w = -15.72 - h. Round w to 0 decimal places.
-18
Let z = 39 + -35. Suppose 2*b - 3*d - 16 = 0, -z*d + 2*d = -4*b + 32. Suppose -b*p + 0*p + 80800 = 0. Round p to the nearest 1000.
10000
Let v = 0.3857495 - 0.384. What is v rounded to four decimal places?
0.0017
Let t = 442 + -342. Let f be 5*5/t - (-278)/8. What is f rounded to the nearest integer?
35
Let w = 404 - 306.4. Let d = w - 105.71. What is d rounded to one decimal place?
-8.1
Let v = 2.268 - -2053.032. Round v to the nearest 10.
2060
Let s = -224.3 - -224.6126. What is s rounded to two decimal places?
0.31
Let n = 0.0407 - -354.9593. Let l = -355.0000201 + n. What is l rounded to 6 decimal places?
-0.00002
Suppose -9*j + 37 = 1. Suppose -2*k = f - 262991, 0*f = j*f - 20. Let b = 219493 - k. Round b to the nearest ten thousand.
90000
Let d(h) = -h**3 - 5*h**2 + 4*h + 2. Let j be d(-6). Suppose -266*f = -279*f + 234. Suppose j*v - f*v = -1760. Round v to the nearest one hundred.
400
Let l = 182284.9 + -191810. What is l rounded to the nearest 10?
-9530
Suppose 4*a - l - 74487096 = 3*l, -4*a + 5*l = -74487093. Suppose -9*n - 4 = -5*n, -65934665 = -3*f - 4*n. Let k = a + f. Round k to the nearest 1000000.
41000000
Let j = 19316 - 13280. Let u = 36008 + j. Suppose 3*l + 4*w - 25242 = 0, -u = -2*l - 3*l + 2*w. Round l to the nearest one thousand.
8000
Let g = 66532.8 + -60653. What is g rounded to the nearest 10?
5880
Let l = 33 - 28. Let t(a) = l*a**3 + 4*a**2 - 29*a**3 - 4 + 73*a**3 + 3*a. Let i be t(-3). Round i to the nearest one hundred.
-1300
Let l = 0.194279 + -22.468579. Let c = l + 22.3. Round c to 3 decimal places.
0.026
Suppose 120 = 5*o - 60. Suppose -3*b - 5*a = o + 339, 625 = -5*b + a. Let h be b/(-25) + -67 + 1. Round h to the nearest 100.
-100
Let w(b) = 4313*b - 234. Let c be w(-9). Let y = -56171 - c. What is y rounded to the nearest 1000?
-17000
Let s = 276900781472 - 276900782447.000002086. Let p = 975 + s. What is p rounded to seven decimal places?
-0.0000021
Let s = -70826 + 70826.33497. Round s to 2 dps.
0.33
Let n = 0.357 - 1.403. Let c = -33 + 33.006. Let x = n + c. Round x to one dp.
-1
Let v(u) = -2*u**2 + 54*u - 50. Let q be v(26). Suppose 3*p - 25 = q*r + 58, 5*r - 3*p = -185. Round r to the nearest 10.
-30
Let n | {
"pile_set_name": "DM Mathematics"
} |
335
In base 9, what is 3666 + 14?
3681
In base 15, what is -4 + 17305?
17301
In base 2, what is -10000000 - 11001110?
-101001110
In base 14, what is 9 + -33145?
-3313a
In base 7, what is -10 - 114534?
-114544
In base 4, what is 120020 + 32?
120112
In base 16, what is 3 - 4899?
-4896
In base 8, what is -13722 - 75?
-14017
In base 11, what is 30312 - 4?
30309
In base 9, what is 104 + -577?
-473
In base 10, what is -774382 + -6?
-774388
In base 3, what is 1021120 + -2020?
1012100
In base 11, what is -809 + -1a41?
-274a
In base 5, what is -12341343 - 10?
-12341403
In base 2, what is 111100101111 - -1?
111100110000
In base 13, what is 3 - -13cb4?
13cb7
In base 15, what is -5 - -4ba4?
4b9e
In base 13, what is 3508 - 63?
3475
In base 3, what is -21 + -2120202212?
-2120210010
In base 7, what is -4 - -10150426?
10150422
In base 12, what is -696 + -1a4?
-87a
In base 13, what is -4 - -a487a?
a4876
In base 15, what is 3c2 - -1?
3c3
In base 15, what is -386 - -db?
-29a
In base 10, what is -68 - -39?
-29
In base 15, what is -2 + -13a6?
-13a8
In base 5, what is -1343100 - -302?
-1342243
In base 16, what is -5 + 73e4?
73df
In base 4, what is 111130010 + -10?
111130000
In base 11, what is -8 + -189a?
-18a7
In base 2, what is 100100 - -100001101100000?
100001110000100
In base 13, what is 116919 - -4?
116920
In base 10, what is -668 - 712?
-1380
In base 16, what is 6d6e5 + 1?
6d6e6
In base 5, what is 2412412 - -21?
2412433
In base 3, what is 100102010 + -20?
100101220
In base 12, what is -4 + b284?
b280
In base 4, what is 23032 - -300?
23332
In base 12, what is -9 - -7349b?
73492
In base 6, what is 1 - 1245133?
-1245132
In base 10, what is -1647837 - -1?
-1647836
In base 9, what is -8201301 + -3?
-8201304
In base 10, what is -23619 + 2?
-23617
In base 10, what is 0 - -1995?
1995
In base 4, what is -110 + -10333220?
-10333330
In base 10, what is -3 + 1034683?
1034680
In base 12, what is -16 - -2312b?
23115
In base 13, what is -12 + -1ba?
-1cc
In base 13, what is -39c15 - 1?
-39c16
In base 16, what is dc + 20?
fc
In base 10, what is -118630 + 0?
-118630
In base 7, what is 55 + -4240?
-4152
In base 2, what is 1 - -1000010001001110?
1000010001001111
In base 12, what is 35 + 272b?
2764
In base 16, what is -5 + 23ca?
23c5
In base 3, what is -1221110 - 10001?
-2001111
In base 12, what is 0 + 8416?
8416
In base 6, what is 5140125 + -1?
5140124
In base 5, what is 24133 - 2401?
21232
In base 8, what is 3 + 562?
565
In base 3, what is 10121020222 - 10?
10121020212
In base 3, what is 1100100 - -120?
1100220
In base 9, what is -5 + 474831?
474825
In base 4, what is 1310 - -1300?
3210
In base 2, what is -11 - -1011001101101?
1011001101010
In base 5, what is -120 + 240?
120
In base 9, what is -6 - 1618?
-1625
In base 7, what is 2366231 + 5?
2366236
In base 6, what is 523123 + 5?
523132
In base 3, what is 12011 - -1022201?
1111212
In base 10, what is -15634 + 9?
-15625
In base 16, what is -d92b - 27?
-d952
In base 14, what is -bc3c - -4c?
-bbd0
In base 3, what is -12001100201002 + 11?
-12001100200221
In base 11, what is -3a2 - 76a?
-1061
In base 5, what is -343 + 1123043?
1122200
In base 10, what is 2 - 3480?
-3478
In base 15, what is -43b + -6?
-442
In base 14, what is 1a48 - 17a?
18ac
In base 5, what is 0 - 10001?
-10001
In base 16, what is 316c + 6b?
31d7
In base 15, what is 17 + -43e?
-427
In base 4, what is -1010 - -11013?
10003
In base 6, what is -4413 + 10221?
1404
In base 9, what is -1708 - 737?
-2546
In base 9, what is 4204038 - -2?
4204041
In base 9, what is -7862884 - -5?
-7862878
In base 5, what is -212 - 14420?
-20132
In base 7, what is 13315 + -4210?
6105
In base 2, what is -1011100 - -111100010000?
111010110100
In base 2, what is 110011000001 + -11010010010?
11000101111
In base 7, what is 10 + -135320?
-135310
In base 4, what is 100 + 102322?
103022
In base 9, what is -1006 + 656?
-240
In base 15, what is 9da + -7ed?
1dc
In base 11, what is 142a93 - 3?
142a90
In base 7, what is 10454445 - -2?
10454450
In base 15, what is 2 - -902a6?
902a8
In base 9, what is 424210 - 8?
424201
In base 9, what is 4 + -4273?
-4268
In base 6, what is 5 - -253035?
253044
In base 3, what is -21 - 101111112012?
-101111112110
In base 4, what is -113 - -12002101?
12001322
In base 8, what is 123732 + 0?
123732
In base 6, what is -3 - -232343?
232340
In base 15, what is 1 - -37360?
37361
In base 13, what is -1279b + 7?
-12794
In base 5, what is -42120 + 101?
-42014
In base 3, what is -102112 + 2201211?
2022022
In base 13, what is a + -3c96b?
-3c961
In base 16, what is 5 - 6153?
-614e
In base 11, what is 366 + 68?
423
In base 15, what is -30011 - -8?
-30008
In base 14, what is -2 - 3139?
-313b
In base 16, what is -17ee + a6?
-1748
In base 8, what is 207037 + 2?
207041
In base 5, what is -10414 - 141?
-11110
In base 14, what is -1 - 1954?
-1955
In base 4, what is 31113 + -2231?
22222
In base 11, what is -5 - -49434?
4942a
In base 5, what is -234040 + -3?
-234043
In base 2, what is 101 - 100111111010001000?
-100111111010000011
In base 11, what is -185 - 461?
-636
In base 4, what is -11331101 + 131?
-11330310
In base 9, what is -33 + 87212?
87168
In base 3, what is 2001202111 + -10?
2001202101
In base 9, what is 27 - -11326?
11354
In base 9, what is 5217838 + -1?
5217837
In base 3, what is 21022 + -11001?
10021
In base 11, what is -33 - 359?
-391
In base 14, what is -5c - 301?
-35d
In base 10, what is 29 + -2971?
-2942
In base 7, what is -4221 - 13?
-4234
In base 6, what is 5 + -131431?
-131422
In base 14, what is 2d3 - 102?
1d1
In base 5, what is 114000023 + 10?
114000033
In base 15, what is 3c25b - -5?
3c261
In base 14, what is -18 - -104a?
1032
In base 11, what is 57 + 313a6?
31452
In base 13, what is -6708 + 183?
-6555
In base 2, what is 110111 + 10101101100?
10110100011
In base 14, what is -6d - -7c0?
751
In base 8, what is -107 - 545?
-654
In base 6, what is -2214 - 120?
-2334
In base 10, what is -25007 + -5?
-25012
In base 11, what is -3 + -736456?
-736459
In base 13, what is 2 - -4ba3?
4ba5
In base 15, what is 6 - -266c7?
266cd
In base 8, what is -64 + 2060?
1774
In base 6, what is 5 - 1215220?
-1215211
In base 4, what is 101 - 1321031?
-1320330
In base 9, what is 15 + -1047?
-1032
In base 10, what is -7470 - 6?
-7476
In base 7, what is 3122 - -16?
3141
In base 13, what is 2040c - -2?
20411
In base 14, what is 3209 + -33?
31b6
In base 6, what is 2 - 14120414?
-14120412
In base 9, what is 4 - 110170?
-110165
In base 10, what is -11665 - -1?
-11664
In base 10, what is 3926 + -157?
3769
In base 10, what is -1 + -146548?
-146549
In base 11, what is 82 - -103?
185
In base 3, what is 2220 + 20122111?
20202101
In base 4, what is 130 + -210322?
-210132
In base 3, what is -10 + 22122222111?
22122222101
In base 11, what is 4a32 + 26?
4a58
In base 13, what is -a80 - 65?
-b15
In base 5, what is -1404444 + 0?
-1404444
In base 14, what is 2078 + -5?
2073
In base 7, what is -5 + -342650?
-342655
In base 15, what is 32e - 414?
-d5
In base 6, what is -2 + -31415334?
-31415340
In base 4, what is 120 + -1012?
-232
In base 8, what is -22 - -1463?
1441
In base 5, what is 3 - -22311?
22314
In base 6, what is -5 - 225453?
-225502
In base 5, what is -10 + 13212?
13202
In base 3, what is -1112220 + 22?
-1112121
In base 8, what is -3 - 21171?
-21174
In base 5, what is 43 + 1400234?
1400332
In base 16, what is -8e + -d?
-9b
In base 5, what is 1213 + -33?
1130
In base 5, what is -1332 + -2323?
-4210
In base 10, what is 9 - 831?
-822
In base 12, what is 31 + -165?
-134
In base 10, what is 28408 - -11?
28419
In base 13, what is 5 - -1022c4?
1022c9
In base 14, what is 6 + -667?
-661
In base 8, what is -5 + 4570?
4563
In base 10, what is -5756 + -79?
-5835
In base 16, what is -17d9 - -24?
-17b5
In base 8, what is -16750 - -16?
-16732
In base 6, what is 521 + 1525?
2450
In base 4, what is 1132010 - 112?
1131232
In base 8, what is 7672 - 12?
7660
In base 12, what is a8 + 17a?
266
In base 10, what is 282174 + 1?
282175
In base 10, what is 0 + -79278?
-79278
In base 8, what is -17 + -7067?
-7106
In base 11, what is -3860 + 0?
-3860
In base 8, what is 1572 - 71?
1501
In base 9, what is 16 + 14240?
14256
In base 2, what is -11 - -101110001000101?
101110001000010
In base 12, what is 9757 - 5?
9752
In base 15, what is - | {
"pile_set_name": "DM Mathematics"
} |
nearest to -2/3 in 0.07, -3, 1, -2/5?
-2/5
What is the nearest to 3 in -37/5, 0.4, 9?
0.4
What is the nearest to -1 in -2/15, 3, 1/35, -11/3?
-2/15
What is the nearest to 1 in 5, 1, -5, 0.367?
1
What is the closest to -2/3 in -1/104, -4, -0.2, -2?
-0.2
What is the closest to 1/7 in -0.2, 0, -63.8?
0
What is the closest to 2/5 in -2, 1/7, -5?
1/7
What is the nearest to -1/3 in -1/3, 3/7, -70?
-1/3
Which is the closest to 0? (a) -35 (b) 0.3 (c) -2
b
Which is the nearest to 1/2? (a) 607 (b) 0.3 (c) -2/3
b
Which is the nearest to -7? (a) -1/6 (b) -1 (c) 0 (d) -5
d
What is the closest to -1/2 in 2/3, 684, 2/9?
2/9
Which is the nearest to 2? (a) -3/4 (b) 7 (c) 5
a
Which is the closest to 2/11? (a) 2/9 (b) -0.1 (c) 0.2 (d) -1
c
What is the closest to 1/2 in -0.3, 1/3, 2, -0.5?
1/3
Which is the closest to 3.3? (a) -5 (b) -2 (c) -3 (d) -4
b
What is the nearest to -0.2 in -3.6, 4/5, -2/45?
-2/45
Which is the closest to -4? (a) -5 (b) -3/5 (c) 0.1 (d) 0.3
a
What is the closest to 12 in 2/17, 5, 2/15, 1?
5
What is the closest to 1/7 in 0.02, -0.4, 15?
0.02
What is the closest to -0.1 in 0, -0.1, 0.012?
-0.1
What is the closest to 0.6 in 0.2, -1/10, 4, 0.1?
0.2
Which is the nearest to -1? (a) -0.2 (b) 1/3 (c) -0.4 (d) -0.065
c
Which is the closest to 0? (a) -0.2 (b) 2/3 (c) 3/11
a
Which is the nearest to -0.3? (a) -3 (b) -5 (c) -4 (d) 4
a
What is the nearest to 0.2 in 2/3, 3, 2, 1?
2/3
What is the nearest to -0.1 in -4/11, 2/13, 4, -3?
2/13
What is the closest to 23 in 1, -0.2, -0.5, 12?
12
What is the closest to 2 in -1/5, 1/3, -7?
1/3
Which is the closest to 1? (a) 6 (b) -0.11 (c) 1/4 (d) 0.2
c
What is the nearest to 2/5 in -2/5, 2/203, -5?
2/203
Which is the closest to 69? (a) -2/11 (b) -1/2 (c) -0.1 (d) 4
d
What is the closest to 2 in -6, -4, -1/3?
-1/3
What is the closest to -1/6 in 0.18, -2, 0.1, 3?
0.1
What is the closest to -1 in -4/3, 0.5, -0.4, 5/4?
-4/3
What is the closest to 0.3 in 1/8, -4, -0.5, -2?
1/8
What is the nearest to 2/3 in -4, 3/2, -0.3, -0.5?
3/2
Which is the closest to -2/5? (a) 0.2 (b) -4 (c) -0.2 (d) 7
c
What is the nearest to -0.3 in 4, -1, -2, 0?
0
What is the closest to 3 in 4, -11, 2/7?
4
What is the nearest to -2/3 in -5, 4, 1, 0.3?
0.3
What is the closest to 2/5 in 15, -1.7, -1/4?
-1/4
Which is the closest to 2/3? (a) -1/8 (b) 1/4 (c) -2/5
b
What is the nearest to -5 in 0.5, 0, 12, 1?
0
What is the nearest to 1 in 0.2, 3/5, -754?
3/5
Which is the closest to 0? (a) -6/7 (b) -2/17 (c) -5 (d) 2/5
b
Which is the nearest to 0.1? (a) 0.4 (b) -5 (c) 23
a
What is the closest to 1/3 in -5, -0.2, -0.5, 0?
0
Which is the closest to -1/2? (a) 3/4 (b) -1/3 (c) 1 (d) -0.2
b
What is the closest to -1 in 3, 20, 0.4?
0.4
What is the closest to 4 in 0.5, -16, 2/7?
0.5
Which is the closest to 9? (a) -9 (b) 2/17 (c) -1/5 (d) 1
d
Which is the closest to -1? (a) -0.4 (b) 0.651 (c) -1
c
What is the closest to 2 in -1, 3.2, 0.5?
3.2
Which is the nearest to -1? (a) 3 (b) 0.5 (c) -1/8 (d) -63
c
What is the closest to -2 in -9, 2/13, -5?
2/13
What is the closest to 3 in 0.5, 0.1, -5?
0.5
Which is the closest to -0.041? (a) 4 (b) -1/11 (c) 0.1
b
Which is the nearest to 2/5? (a) -8 (b) -5 (c) 0.5 (d) -4
c
Which is the closest to -1? (a) -6 (b) 380 (c) 1
c
What is the closest to 5/21 in 0.3, -1/9, 0, -3?
0.3
Which is the nearest to 2/5? (a) 0.2 (b) -1/5 (c) 56 (d) 0
a
What is the closest to 0 in -1/2, 7, 2/11?
2/11
Which is the closest to -8.4? (a) -1/5 (b) 0.4 (c) -4 (d) 0
c
What is the closest to -2/5 in 1/2, 2.3, -0.1?
-0.1
What is the nearest to 2/5 in -5, -0.01, 2/5, -5/3?
2/5
Which is the nearest to 1/3? (a) -0.1 (b) -0.3 (c) -2 (d) -0.05
d
What is the closest to 0.1 in -11/8, -4, -2/7, 1/10?
1/10
Which is the closest to 83? (a) -2/3 (b) 0 (c) 0.2
c
What is the closest to 0.03 in 0, -5, -1/4, 3?
0
Which is the nearest to 4? (a) -0.5 (b) -56 (c) -2/11
c
What is the closest to 0.1 in 4, -0.076, -1?
-0.076
What is the nearest to 237 in 5/4, -5/6, 1/6, -5?
5/4
What is the nearest to 0 in -8, 0.01, -8/5?
0.01
Which is the closest to -0.1? (a) 25 (b) -3 (c) 0.1 (d) -5
c
What is the nearest to -0.2 in -0.01, -0.3, -3?
-0.3
What is the nearest to 0.1 in -0.4, 1, 0.25, 1/2?
0.25
What is the closest to 2/3 in -1, -21, 2?
2
What is the nearest to 0.3 in 2/15, -0.3, -1/6, 2.2?
2/15
Which is the closest to -1? (a) 3 (b) -2 (c) -3 (d) 1/8
b
What is the nearest to -15 in 2/7, -0.5, -4?
-4
What is the closest to 1/3 in -5, -9, -18, 2/3?
2/3
What is the nearest to 0.1 in 4/5, 4/3, -1.2?
4/5
What is the closest to 361 in 2, -5, 0.5, 0.09?
2
Which is the nearest to -8? (a) 0.5 (b) -1/4 (c) -2/37
b
What is the closest to 2/5 in 1/5, -3/2, -4, -0.2?
1/5
Which is the closest to -0.22? (a) 5 (b) -0.6 (c) 4 (d) -1
b
What is the closest to 0.1 in 4, 2, -1/3?
-1/3
What is the nearest to -1 in 0.5, 1, -11, -4?
0.5
What is the closest to 1 in 2/11, -3, 2/5?
2/5
Which is the closest to -1? (a) 1/9 (b) -1 (c) -31
b
Which is the nearest to -2? (a) -2 (b) 5 (c) 0.2
a
Which is the nearest to -62? (a) 4 (b) -2/3 (c) -2
c
Which is the closest to -2/7? (a) -115 (b) 10 (c) 1
c
Which is the nearest to 0.2? (a) -1 (b) 0.03 (c) -7 (d) 2
b
What is the closest to -4 in 3, -0.2, 0.3, 0?
-0.2
Which is the nearest to -3? (a) 7 (b) -3 (c) -0.05 (d) 2/15
b
What is the nearest to 3 in -6, -1, 1.3, 5?
1.3
Which is the closest to -0.1? (a) 0.3 (b) -3 (c) -0.4 (d) -1
c
What is the nearest to 1/9 in 4, 2/3, 10?
2/3
Which is the nearest to -72? (a) 5 (b) 3/4 (c) -0.3
c
Which is the nearest to 2/3? (a) -1.06 (b) -2 (c) 1
c
Which is the nearest to 0? (a) 3/2 (b) 0 (c) -2/13 (d) 0.06
b
What is the closest to 3 in 3, 0.139, -1/5, -4/7?
3
What is the nearest to 13 in -3, -1, 5?
5
Which is the closest to -2? (a) -0.1 (b) 4 (c) 4/3
a
What is the nearest to 7 in -1/11, -3/11, 1/10?
1/10
Which is the nearest to 2? (a) -0.3 (b) -0.02 (c) 2 (d) 4.9
c
Which is the closest to -1? (a) 0.3 (b) 0.2 (c) 27
b
What is the nearest to 23 in -3/4, -2, -1/11, -2/5?
-1/11
Which is the closest to -0.17? (a) 4 (b) 0.2 (c) -1/3 (d) 3/5
c
Which is the nearest to -2? (a) 0.04 (b) 19/7 (c) 5
a
Which is the nearest to -0.3? (a) -3 (b) 3 (c) -7
a
What is the nearest to 0.9 in -0.2, -2, 0.05?
0.05
What is the closest to 3 in -2, 0.2, 5, -5/3?
5
Which is the nearest to -2? (a) 4/9 (b) -0.4 (c) 1/3
b
Which is the closest to 0.1? (a) 1/8 (b) 0 (c) 5 (d) -2.6
a
Which is the nearest to 2/11? (a) 0.1 (b) -2 (c) -1
a
Which is the nearest to -1? (a) -0.5 (b) 0.1 (c) 5 (d) 8
a
What is the nearest to 1/3 in -1, 1, -7, -58?
1
Which is the closest to 2/35? (a) 4 (b) 1/2 (c) -3/4
b
Which is the nearest to 0? (a) 1/2 (b) 4 (c) -1 (d) 0.2
d
Which is the closest to -10? (a) -2 (b) 58 (c) 1/10
a
What is the closest to -4/21 in 0.4, 0, -1/3?
-1/3
What is the nearest to 202 in -0.2, 4, -4?
4
Which is the closest to -0.5? (a) -30 (b) -2/7 (c) -3
b
What is the closest to 0.1 in -2, 5565, 0.3?
0.3
What is the nearest to 18 in 4, -5, 1?
4
Which is the closest to 1? (a) 8 (b) -4 (c) 0.11 (d) -0.2
c
What is the closest to -0.4 in 2, -4, 4, -2?
-2
What is the closest to -2/3 in 2.6, -4, -30?
2.6
Which is the closest to -2/3? (a) -5 (b) 4 (c) -5/6
c
What is the closest to -18 in -5, 1/2, -1/4?
-5
Which is the nearest to -2/5? (a) 0.3 (b) 1/24 (c) 4
b
What is the closest to 0.1 in -2/15, 1/4, 0.01, 0.4?
0.01
Which is the closest to 1? (a) 1 (b) -5 (c) 0.5
a
Which is the nearest to 3? (a) -0.1 (b) 0.2 (c) 21
b
What is the closest to -5 in -2/5, 2/3, 1?
-2/5
Which is the nearest to 0? (a) -3 (b) 5 (c) 6/7 (d) 4
c
What is the closest to 1 in 0.1, -0.3, -635?
0.1
What is the closest to 1/3 in 2, 4, -0.07?
-0.07
Which is the closest to -1? (a) -6 (b) -2/85 (c) -2 (d) 2/19
b
Which is the closest to 0.1? (a) 0 (b) -3/4 (c) -0.3 (d) -2/9
a
Which is the closest to 45? (a) -3 (b) 5 (c) 4
b
What is the nearest to 2/3 in -0.057, 2/3, 1/6?
2/3
Which is the closest to -21? (a) -2/13 (b) 1 (c) 7 (d) 3
a
What is the closest to 0 in -2, 3/4, -31?
3/4
Which is the nearest to 0.2? (a) -21/8 (b) 3 (c) 0 (d) -4
c
Which is the closest to 0.1? | {
"pile_set_name": "DM Mathematics"
} |
or s.
10
Solve 487 = 50*y + 173*y - 4419 for y.
22
Solve 55*i + 62 = -9*i + 190 for i.
2
Solve 69*h + 25 = 1267 for h.
18
Solve 295 - 1231 = 104*c for c.
-9
Solve 8139*a = 8117*a + 286 for a.
13
Solve -2397 + 4795 = -123*k + 2398 for k.
0
Solve 1738*w = 34452 + 22902 for w.
33
Solve -72 = 7009*a - 7036*a - 369 for a.
-11
Solve -1865 + 1739 = 18*o for o.
-7
Solve 40*c + 48*c = -17*c + 525 for c.
5
Solve -138*u = 93*u - 156*u + 525 for u.
-7
Solve -9*q + 27456 = 27492 for q.
-4
Solve 3*k - 43 = 77 - 90 for k.
10
Solve -66*j + 73 = -21*j - 17 for j.
2
Solve -274*r - 1132*r = -108*r + 2596 for r.
-2
Solve -3580 = 550*z - 371*z for z.
-20
Solve 485 - 539 = 9*h for h.
-6
Solve -10*v + 7400 = 35*v + 140*v for v.
40
Solve 56*a = 5*a - 3*a + 324 for a.
6
Solve 0 = 70*d - 2863 + 2443 for d.
6
Solve 0 = 6*q - 930 + 816 for q.
19
Solve 30*q + 15*q = 405 for q.
9
Solve -59060 = -5*w - 59040 for w.
4
Solve 6514 - 11493 = -942*h + 12919 for h.
19
Solve 705 = -198*d - 87 for d.
-4
Solve 14626 - 14458 = -42*x for x.
-4
Solve 33*k + 21 = -140*k - 325 for k.
-2
Solve 851 = 85*c + 511 for c.
4
Solve -64*t - 1311 = 373*t for t.
-3
Solve -229*c - 2506 = -408*c for c.
14
Solve -138*p - 2980 = -504*p - 230*p for p.
5
Solve 4*w = 70*w - 108 - 156 for w.
4
Solve -41*d + 2044 = -313*d - 7204 for d.
-34
Solve 0 = -67*o - 109*o - 1622 - 314 for o.
-11
Solve 17 = -6*y + 14 - 45 for y.
-8
Solve -20*d + 202 - 342 = 0 for d.
-7
Solve 257*p = 296*p - 39 for p.
1
Solve 33*y + 189*y + 19*y = 1928 for y.
8
Solve -9*x + x + 42 - 98 = 0 for x.
-7
Solve 0 = 1936*q + 39284 + 5244 for q.
-23
Solve -32*n = -193*n + 31*n + 1560 for n.
12
Solve -155*p - 378 - 707 = 0 for p.
-7
Solve -50*a + 78 = -22 for a.
2
Solve 176 = 18188*s - 18204*s for s.
-11
Solve -113*p - 63 - 743 = -3631 for p.
25
Solve 86*z = -224 + 138 for z.
-1
Solve -u - 26*u - 169 = -142 for u.
-1
Solve 234*v - 102 - 2 + 3848 = 0 for v.
-16
Solve 0 = 37*t - 109 - 358 + 60 for t.
11
Solve 127*t - 459*t - 5641 = 1995 for t.
-23
Solve -40*v = -40244 + 40964 for v.
-18
Solve 529 = -69*x + 253 for x.
-4
Solve -1278 = 395*q - 9632 - 2311 for q.
27
Solve 910 - 7533 = 1611*s - 46898 for s.
25
Solve -3202 + 3258 = 14*p for p.
4
Solve -730*z - 23491 = 351*z + 726*z for z.
-13
Solve -42*r + 248 = -508 for r.
18
Solve -7127*q + 7163*q = -324 for q.
-9
Solve 18*l + 171 = 81 for l.
-5
Solve -17627*q - 2700 = -17519*q for q.
-25
Solve 29*t - 303 = 393 for t.
24
Solve 0 = 140*i - 58*i + 1558 for i.
-19
Solve -61007 = 37*u - 60859 for u.
-4
Solve 51*s - 1469 + 49 = -20*s for s.
20
Solve 129*g - 121 - 435 = -40 for g.
4
Solve -99*a - 67*a = -270*a - 1872 for a.
-18
Solve -83*y - 81*y = 43*y - 3312 for y.
16
Solve -401*c - 409*c = -753*c - 456 for c.
8
Solve -132 = -65*d + 1 - 3 for d.
2
Solve -60 = 13*r + 7*r + 120 for r.
-9
Solve 0 = 56*i + 375 + 465 for i.
-15
Solve 304 - 39 + 855 = -80*p for p.
-14
Solve 17*g = 48*g + 62*g + 279 for g.
-3
Solve -117 = h - 11*h + 23 for h.
14
Solve 58*p + 309 + 98 = 59 for p.
-6
Solve -66*w - 189*w + 1081 + 959 = 0 for w.
8
Solve 308 = 38*a + 11*a - 21*a for a.
11
Solve -1508*n + 2073*n - 19775 = 0 for n.
35
Solve -68*l - 34443 = -34103 for l.
-5
Solve 0 = 691*y - 672*y - 87 - 179 for y.
14
Solve -1241 = 4*l - 1233 for l.
-2
Solve 0*t + 162 = -13*t + 19 for t.
-11
Solve 13 = 5*y - 35 - 12 for y.
12
Solve 1 = r - 2 - 8 for r.
11
Solve 0 = 233*y - 5448 + 13370 for y.
-34
Solve -250*b = -104*b + 1752 for b.
-12
Solve 6*v - 44 + 104 = 0 for v.
-10
Solve -112 = 13*k + 30 + 40 for k.
-14
Solve 12*j - 150 = -5*j + 42*j for j.
-6
Solve -68*b - 7*b = -450 for b.
6
Solve -277*n + 437 = -280 + 163 for n.
2
Solve 49 + 85 = -34*z - 70 for z.
-6
Solve 0 = -61*y - 601 - 8 - 123 for y.
-12
Solve 10*d - 46 - 42 = 42 for d.
13
Solve -58*p = 183*p + 70*p for p.
0
Solve -4*a - 7664 + 15369 = 7613 for a.
23
Solve -1967 = -1009*n - 958 for n.
1
Solve 9*k - 262*k = 11 + 2013 for k.
-8
Solve 77124*u - 1771 = 77047*u for u.
23
Solve -414 = 2310*l - 2328*l for l.
23
Solve -83*z - 386 - 940 = 85 for z.
-17
Solve 232 = 61*y + 1208 for y.
-16
Solve 35*q = 44*q + 19*q for q.
0
Solve 9*b - 5056 = -5101 for b.
-5
Solve -8*d - 23*d - 344 = 28 for d.
-12
Solve 32*v - 23 = -87 for v.
-2
Solve -2415 = 312*l - 11151 for l.
28
Solve -44*z = -984 + 1732 for z.
-17
Solve -31*l + 165 = -17*l + 19*l for l.
5
Solve 67 + 151 = 24*p + 50 for p.
7
Solve -16*g - 24 = -10*g + 36 for g.
-10
Solve u = -8*u + 36 for u.
4
Solve -2431*n = -1396*n - 5175 for n.
5
Solve -11*t = -215 + 94 for t.
11
Solve -1215 = 74095*i - 73960*i for i.
-9
Solve -665 - 1315 = -165*y for y.
12
Solve 224*c = 63*c + 2187 - 577 for c.
10
Solve -79*n = -186*n - 428 for n.
-4
Solve 4*x - 10*x = 9*x - 45 for x.
3
Solve 23 = 46*m - 575 for m.
13
Solve -38 - 142 = -1263*m + 1293*m for m.
-6
Solve -31*w = -1592 + 1902 for w.
-10
Solve 60*n + 607 = 406*n + 3721 for n.
-9
Solve -983 = -37*s - 1501 for s.
-14
Solve -5*k - 207 + 137 = 0 for k.
-14
Solve -53*q + 111*q - 1044 = -29*q for q.
12
Solve 0 = 26*a + 3403 - 3143 for a.
-10
Solve -192*c - 505*c - 329*c = 12312 for c.
-12
Solve -615*f + 6431 + 2756 + 38 = 0 for f.
15
Solve 0 = -187*c + 185*c - 12 for c.
-6
Solve 1974*k = 4097*k - 2019*k + 1456 for k.
-14
Solve 4*p - p + 915 = 855 for p.
-20
Solve 96*b - 6 = 102*b for b.
-1
Solve -8433 + 8473 = -4*h for h.
-10
Solve -49535 + 15976 = -907*s for s.
37
Solve -690*d = -705*d - 150 for d.
-10
Solve -5*p + 145*p - 1428 = 21*p for p.
12
Solve 10*j - 21*j + 34 = 122 for j.
-8
Solve 0 = 4*x - 1748281 + 1748341 for x.
-15
Solve 43*h - 28*h + 210 = -27*h for h.
-5
Solve 37*v = 6932 - 6636 for v.
8
Solve 86*u = -7*u + 93 for u.
1
Solve -55*d - 5377 + 5047 = 0 for d.
-6
Solve s + 0*s - 375 = -382 for s.
-7
Solve 106*v + 60*v = 332 for v.
2
Solve 7886 = 305*m + 261 for m.
25
Solve 0 = 23*c - 1112*c - 9955 - 3113 for c.
-12
Solve 1385*t - 1397*t - 80 - 244 = 0 for t.
-27
Solve -9674 = 413*i - 380 + 618 for i.
-24
Solve 1222*x - 1197*x = -425 for x.
-17
Solve 400 - 1289 = -127*v for v.
7
Solve -57 = -33*f - 234 - 252 for f.
-13
Solve 413*i - 213*i - 54 = 209*i for i.
-6
Solve -573*c + 591*c = -216 for c.
-12
Solve -670*j - 178*j = -1524 + 6612 for j.
-6
Solve -56*k - 67 - 213 = 0 for k.
-5
Solve 202*u + 84 = -257*u - 375 for u.
-1
Solve 8*y + 330 = 6*y - 9*y for y.
-30
Solve -841 = 181*z - 117 for z.
-4
Solve -32*a - 19*a = -42*a - 108 for a.
12
Solve 5*s - 2424 = -2274 for s.
30
Solve -19656*f + 19645*f = -264 for f.
24
Solve -71*w + 1344 - 776 = 0 for w.
8
Solve 53*l + 3941 - 4948 = 0 for l.
19
Solve -97*i - 45*i = 15*i + 2669 for i.
-17
Solve 698*o = 709*o + 66 for o.
-6
Solve 0 = -5*v + 60 + 84 - 209 for v.
-13
Solve 0 = 54*s - 45 + 99 for s.
-1
Solve 649 + 596 = 83*i for i.
15
Solve 0 = -42911*p + 42944*p + 693 for p.
-21
Solve 129*b - 234 = 116*b for b.
18
Solve 127*n - 946 + 648 = 1099 for n.
11
Solve -3726 = 5*j - 3536 for j.
-38
Solve 777*l = 827*l - 200 for l.
4
Solve 0 = -17*u - 81*u + 294 for u.
3
Solve 0 = 9*p - 200 + 218 for p.
-2
Solve 472*w = 504*w + 320 for w.
-10
Solve -288*q + 4*q = 4278 + 3674 for q.
-28
Solve 0 = 73*l - 240 - 992 - 885 for l.
29
Solve 869*g + 17058 + 5003 + 1402 = 0 for g.
-27
Solve -30*q + 108*q = -72*q - 3750 for q.
-25
Solve -78*s = -132 + 834 for s.
-9
Solve 156*h - 52*h = -1040 for h.
-10
Solve 264 = -27*u + 12*u - 18*u for u.
-8
Solve -144*t = 69*t + 2130 for t.
-10
Solve -1096 = 111*v + 347 for v.
-13
Solve 7691 = -68*v + 6807 for v.
-13
Solve 64*z - 689 - 155 = -147*z for z.
4
Solve -10674 = -114*l - 7482 for l.
28
Solve 470*z - 551 = 6969 for z.
16
Solve 69*g + 80 = 53*g for g.
-5
Solve -20*q - 21 = 53 + 266 for q.
-17
Solve 59*o + 12 = 64*o - 18 for o.
6
Solve 118*k - 110*k = -56 for k.
-7
Solve -18*o - 168 + 16 - 10 = 0 for o.
-9
Solve -399*n = -374*n + 425 for n.
-17
Solve -439*z = -358*z + 308 - 1037 for z.
9
Solve -120014*f = -120000*f + 56 for f.
-4
Solve 58*q - 62481 + 62423 = 0 for q.
1
Solve 0 = -r - 9*r - 50 + 220 for r.
17
Solve -85*i = -8*i - 924 for i.
12
Solve -33*s - 139*s = 61*s + 3029 for s.
-13
Solve 357 = 4008*g - 4059*g for g.
-7
Solve -115*q - 1295 = -49*q - 31*q for q.
-37
Solve 36*s = 6 - 60 - 162 for s.
-6
Solve -2364*w = 2409*w - 4715*w + 1334 for w.
-23
Solve -207*h + 134*h + 2775 = -148*h for h.
-37
Solve 159*f + 235*f = -67 | {
"pile_set_name": "DM Mathematics"
} |
rom {f: 16, s: 2}.
32/153
Three letters picked without replacement from {t: 1, p: 7}. Give prob of picking 3 p.
5/8
Calculate prob of picking 1 o and 1 m when two letters picked without replacement from kkokkkkokokzmmmkmmm.
2/19
Three letters picked without replacement from {k: 1, o: 3, b: 2, i: 2, j: 2, r: 2}. Give prob of picking 2 k and 1 r.
0
Four letters picked without replacement from {e: 1, y: 3, f: 7, g: 3}. Give prob of picking 2 f, 1 g, and 1 e.
9/143
Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {w: 4, h: 2, u: 5}.
1/33
Two letters picked without replacement from {f: 6, z: 4, s: 3, e: 1, w: 2}. What is prob of picking 1 z and 1 s?
1/10
Two letters picked without replacement from {v: 2, r: 3}. Give prob of picking 2 r.
3/10
Calculate prob of picking 1 h and 1 a when two letters picked without replacement from kkkkcafkaacackahf.
5/136
Three letters picked without replacement from drdrdfdddrdddfff. Give prob of picking 3 r.
1/560
What is prob of picking 2 m when two letters picked without replacement from {m: 3, f: 11, r: 1}?
1/35
Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {g: 1, b: 1, k: 1, u: 1, o: 4}.
3/28
Three letters picked without replacement from sskbskkbkss. Give prob of picking 3 k.
4/165
Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 1, o: 2, b: 1, a: 2}.
2/15
Calculate prob of picking 3 s when three letters picked without replacement from {m: 1, r: 3, s: 1}.
0
Three letters picked without replacement from rrrrrfrrrfrrfrrfff. Give prob of picking 3 f.
5/204
Two letters picked without replacement from yygniygpy. Give prob of picking 1 i and 1 y.
1/9
Two letters picked without replacement from {r: 2, d: 2, c: 4, l: 4, i: 2, o: 1}. What is prob of picking 1 i and 1 l?
8/105
Calculate prob of picking 2 c when two letters picked without replacement from cycycccccc.
28/45
Two letters picked without replacement from sfssfffssssfff. Give prob of picking 1 f and 1 s.
7/13
What is prob of picking 1 b and 1 o when two letters picked without replacement from obbobbbb?
3/7
Two letters picked without replacement from vvv. Give prob of picking 2 v.
1
Calculate prob of picking 1 b and 2 s when three letters picked without replacement from {b: 2, s: 6}.
15/28
Four letters picked without replacement from yyyyypyyyypfyfyyf. Give prob of picking 2 y and 2 p.
33/1190
Four letters picked without replacement from {j: 3, f: 1, g: 1}. What is prob of picking 1 g, 1 f, and 2 j?
3/5
Two letters picked without replacement from {c: 8, m: 2, h: 2, z: 2, n: 2}. What is prob of picking 1 m and 1 z?
1/30
Four letters picked without replacement from ojsqyssoqo. What is prob of picking 1 j, 2 q, and 1 s?
1/70
What is prob of picking 2 y when two letters picked without replacement from {j: 3, y: 2}?
1/10
Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, m: 1, g: 1, o: 1, b: 1}.
1/10
What is prob of picking 2 n when two letters picked without replacement from {g: 2, n: 17}?
136/171
Calculate prob of picking 2 h when two letters picked without replacement from njhhjwhunnnnkhj.
2/35
Calculate prob of picking 4 a when four letters picked without replacement from {e: 3, a: 9}.
14/55
Three letters picked without replacement from ooqqoheooz. What is prob of picking 1 e, 1 o, and 1 q?
1/12
Four letters picked without replacement from gbbp. Give prob of picking 4 p.
0
Calculate prob of picking 1 v and 1 l when two letters picked without replacement from lwvllkkllllvhwc.
2/15
Calculate prob of picking 1 h and 1 s when two letters picked without replacement from hhsh.
1/2
What is prob of picking 2 j when two letters picked without replacement from ljuj?
1/6
Four letters picked without replacement from {u: 7}. Give prob of picking 4 u.
1
Two letters picked without replacement from fbf. What is prob of picking 2 f?
1/3
What is prob of picking 1 i, 1 p, and 1 d when three letters picked without replacement from hhihhskdihphph?
1/91
What is prob of picking 2 g when two letters picked without replacement from dddrg?
0
What is prob of picking 2 u and 1 z when three letters picked without replacement from {u: 4, z: 2}?
3/5
What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 11, r: 1}?
1/6
Two letters picked without replacement from iixrpxrziiirrxj. What is prob of picking 1 p and 1 r?
4/105
Calculate prob of picking 2 u when two letters picked without replacement from rbbrbrbrxruubbrburx.
1/57
Two letters picked without replacement from {f: 12, l: 2, g: 3}. Give prob of picking 1 l and 1 g.
3/68
What is prob of picking 3 k when three letters picked without replacement from kkkkkkktkkkkk?
10/13
Two letters picked without replacement from zizzzzifzffii. Give prob of picking 2 z.
5/26
Two letters picked without replacement from {l: 2, w: 1, c: 1, k: 1, p: 1, o: 1}. What is prob of picking 1 p and 1 l?
2/21
Four letters picked without replacement from {c: 2, h: 8, z: 1, i: 7, g: 1, p: 1}. Give prob of picking 1 p, 1 c, and 2 h.
56/4845
Two letters picked without replacement from {d: 3, z: 2, a: 2, p: 3, g: 9, m: 1}. What is prob of picking 1 a and 1 d?
3/95
Four letters picked without replacement from nooohoppo. Give prob of picking 1 o and 3 n.
0
Calculate prob of picking 2 h and 2 b when four letters picked without replacement from {q: 2, h: 4, b: 3}.
1/7
Two letters picked without replacement from {o: 3, g: 15}. Give prob of picking 2 g.
35/51
What is prob of picking 3 y and 1 u when four letters picked without replacement from ymyuyyyymmmmyymmmyym?
8/323
Two letters picked without replacement from {d: 4, l: 5, m: 2}. What is prob of picking 1 l and 1 m?
2/11
What is prob of picking 1 h and 3 v when four letters picked without replacement from {h: 1, l: 1, j: 2, v: 2, b: 1}?
0
Calculate prob of picking 3 n and 1 c when four letters picked without replacement from nncncnc.
12/35
What is prob of picking 1 m and 1 w when two letters picked without replacement from inininiwiwwiiiiwmin?
4/171
Three letters picked without replacement from wwwwwwcwcwwuwwuwuw. Give prob of picking 3 w.
143/408
Two letters picked without replacement from ggvtgzrrrzrvzsg. Give prob of picking 2 z.
1/35
Two letters picked without replacement from aaadaaaadaaahdaa. What is prob of picking 1 a and 1 h?
1/10
Calculate prob of picking 2 s and 1 h when three letters picked without replacement from rashssshhaashrfs.
3/28
Calculate prob of picking 2 u and 1 q when three letters picked without replacement from {u: 3, a: 3, q: 2}.
3/28
Calculate prob of picking 3 m when three letters picked without replacement from {z: 3, m: 8, b: 4, a: 4}.
56/969
Calculate prob of picking 1 h and 1 r when two letters picked without replacement from iwccherh.
1/14
Calculate prob of picking 2 x when two letters picked without replacement from xxqqqxxxxxqqqqiixx.
4/17
Calculate prob of picking 1 v, 1 b, and 1 a when three letters picked without replacement from {b: 7, a: 1, v: 2}.
7/60
Four letters picked without replacement from mmomom. What is prob of picking 1 o and 3 m?
8/15
Three letters picked without replacement from nyhhyzxhhzmx. What is prob of picking 1 m, 1 x, and 1 z?
1/55
Two letters picked without replacement from cgfcqvnqg. What is prob of picking 2 g?
1/36
Calculate prob of picking 1 m, 1 y, and 1 t when three letters picked without replacement from {b: 2, c: 1, y: 1, t: 1, m: 2, o: 1}.
1/28
Two letters picked without replacement from qqqqqqqqxqqqqqqqqqqq. What is prob of picking 1 x and 1 q?
1/10
What is prob of picking 1 n and 3 p when four letters picked without replacement from xxxxxxypxpnxpyxnyp?
2/765
What is prob of picking 1 v and 2 o when three letters picked without replacement from cococvccoccoccooco?
7/272
Three letters picked without replacement from yazayyayyzyyyzzy. What is prob of picking 2 y and 1 z?
9/35
Two letters picked without replacement from yyabbbaaybbyzbbbyb. What is prob of picking 1 a and 1 b?
3/17
Four letters picked without replacement from {e: 17, d: 2}. Give prob of picking 2 e and 2 d.
2/57
What is prob of picking 1 l, 1 q, and 1 j when three letters picked without replac | {
"pile_set_name": "DM Mathematics"
} |
nator of -127/528 and -125/16016.
48048
What is the common denominator of 50 and -7/936788?
936788
What is the smallest common multiple of 540 and 4356?
65340
Calculate the common denominator of 191/5280 and 101/265408.
3981120
Calculate the common denominator of -23/24080 and 45/896.
192640
What is the smallest common multiple of 301920 and 1207680?
1207680
Calculate the smallest common multiple of 240165 and 270.
480330
What is the smallest common multiple of 966 and 966?
966
What is the smallest common multiple of 2849 and 36223?
253561
Find the common denominator of -73/210 and -5/98406.
492030
Find the common denominator of 59/48248 and -25/138713.
1109704
Calculate the lowest common multiple of 3195 and 596400.
1789200
Calculate the common denominator of -87/16 and 79/1523994.
12191952
What is the smallest common multiple of 340 and 396?
33660
Calculate the common denominator of -139/72 and 69/8528.
76752
What is the least common multiple of 192 and 1664?
4992
Calculate the common denominator of 29/11744 and -87/19084.
152672
Calculate the smallest common multiple of 20863 and 2635.
1773355
What is the common denominator of -9/43 and 24/54049?
2324107
What is the common denominator of 31/13035 and -31/3160?
104280
Calculate the lowest common multiple of 590992 and 17180.
2954960
What is the smallest common multiple of 36 and 392?
3528
Find the common denominator of 109/456 and 53/59679.
477432
Calculate the common denominator of -51/117788 and 23/28.
824516
What is the lowest common multiple of 15375 and 525?
107625
What is the common denominator of 97/68904 and -133/40716?
895752
What is the least common multiple of 16870 and 964?
33740
What is the least common multiple of 66 and 2134?
6402
What is the least common multiple of 55085 and 8143?
936445
Find the common denominator of -63/2 and -149/161010.
161010
What is the smallest common multiple of 1255 and 1260?
316260
What is the common denominator of 83/3640 and 149/18060?
469560
What is the common denominator of -87/140 and 139/17310?
242340
Find the common denominator of 71/1680 and -121/47250.
378000
Calculate the lowest common multiple of 3498 and 1452.
76956
Calculate the common denominator of -5/12 and -139/40608.
40608
What is the least common multiple of 1012800 and 3165?
1012800
What is the common denominator of 43/1515 and 31/172104?
860520
What is the common denominator of 7/1215 and 23/66825?
66825
What is the lowest common multiple of 289372 and 219?
868116
Calculate the common denominator of -29/1449000 and 113/50400.
5796000
What is the common denominator of 13/93 and -77/491846?
1475538
What is the common denominator of -79/90 and -19/2800?
25200
Calculate the common denominator of 31/91160 and -39/110.
1002760
Calculate the common denominator of -141/28420 and -3/280.
56840
What is the lowest common multiple of 917 and 770?
100870
What is the least common multiple of 13544 and 18623?
148984
What is the common denominator of 103/1430 and -49/7040?
91520
What is the common denominator of -7/10 and 41/185304?
926520
Calculate the common denominator of -79/14 and -49/38526.
269682
What is the smallest common multiple of 34 and 3145?
6290
Find the common denominator of -167/6888 and 43/192.
55104
Calculate the lowest common multiple of 2366 and 28392.
28392
Calculate the least common multiple of 5856 and 84.
40992
Find the common denominator of 5/98 and -62/245.
490
Calculate the smallest common multiple of 37352 and 121394.
485576
Calculate the smallest common multiple of 57 and 1216.
3648
Calculate the common denominator of -13/133164 and -41/199746.
399492
Calculate the common denominator of -57/394 and -13/59494.
59494
Calculate the least common multiple of 30800 and 6300.
277200
What is the common denominator of -151/42672 and 151/24?
42672
What is the lowest common multiple of 768 and 28176?
450816
What is the lowest common multiple of 8 and 133?
1064
Calculate the common denominator of -103/4305 and -37/441.
90405
Calculate the least common multiple of 30555 and 693.
336105
What is the smallest common multiple of 1133268 and 755512?
2266536
What is the common denominator of 133/504576 and 31/186880?
5045760
Calculate the common denominator of 48/95 and -10/11989.
59945
What is the common denominator of -43/5 and 119/1676900?
1676900
What is the common denominator of -11/9 and 95/134704?
1212336
Calculate the common denominator of 111/668080 and -45/8.
668080
Calculate the least common multiple of 123156 and 219.
8990388
What is the common denominator of -62/18183 and 77/14877?
163647
Find the common denominator of -31/5154 and 97/724996.
2174988
Find the common denominator of -117/14 and 17/90556.
633892
Calculate the least common multiple of 9 and 105306.
315918
What is the least common multiple of 27169 and 2152?
217352
What is the common denominator of -35/4941 and -26/26487?
1615707
Calculate the common denominator of -18/3928355 and -17/5.
3928355
What is the common denominator of -139/22068 and -41/1226?
22068
What is the lowest common multiple of 44896 and 48?
134688
Calculate the smallest common multiple of 2250 and 3375.
6750
What is the lowest common multiple of 15600 and 14625?
234000
Calculate the smallest common multiple of 8 and 9276.
18552
What is the common denominator of 31/26488 and 13/11968?
3602368
Calculate the least common multiple of 2380 and 32480.
552160
Calculate the common denominator of -11/6 and 85/21108.
21108
Find the common denominator of 6/211835 and 74/585.
1906515
Calculate the lowest common multiple of 10 and 55992.
279960
What is the common denominator of -50/3 and 44/67995?
67995
Calculate the common denominator of 5/43836 and 143/60.
219180
What is the least common multiple of 38626 and 49662?
347634
What is the lowest common multiple of 1788 and 3084?
459516
What is the common denominator of 19/84368 and 99/20?
421840
Calculate the common denominator of 1/2320068 and 47/5844.
2320068
Find the common denominator of 69/5360 and -1/20.
5360
What is the common denominator of 23/500248 and -79/107196?
1500744
Calculate the lowest common multiple of 7970 and 3188.
15940
What is the lowest common multiple of 194466 and 12?
388932
Calculate the least common multiple of 297345 and 7.
2081415
What is the common denominator of -65/4 and 37/121186?
242372
Find the common denominator of -39/14 and 59/182454.
1277178
What is the common denominator of 12/2057 and 21/550?
102850
What is the common denominator of -37/5568 and 149/64960?
194880
Find the common denominator of -143/2562 and -109/336.
20496
Find the common denominator of 167/504 and 79/2355.
395640
Calculate the common denominator of 181/14970 and 109/10.
14970
Calculate the smallest common multiple of 5124 and 420.
25620
Calculate the least common multiple of 16 and 238152.
476304
What is the smallest common multiple of 9 and 3616362?
3616362
Calculate the common denominator of -17/36826 and -29/16.
294608
What is the lowest common multiple of 1246 and 11214?
11214
Calculate the least common multiple of 28063 and 10.
280630
What is the lowest common multiple of 66 and 37602?
413622
Find the common denominator of -18/3509 and 16/99.
31581
What is the smallest common multiple of 20 and 23466?
234660
Calculate the common denominator of -21/1510 and -77/20.
3020
Calculate the common denominator of 97/6566 and -45/8174.
400526
What is the smallest common multiple of 108 and 58284?
174852
Calculate the common denominator of 7/150812 and 73/4.
150812
Calculate the lowest common multiple of 370 and 1480.
1480
Find the common denominator of -77/229248 and -51/14.
1604736
Find the common denominator of 131/600 and -99/40.
600
Find the common denominator of -31/38 and -79/76668.
1456692
Calculate the common denominator of 41/3 and -17/17973.
17973
What is the least common multiple of 12 and 6288?
6288
Calculate the least common multiple of 14 and 235758.
1650306
What is the lowest common multiple of 484 and 1584?
17424
What is the lowest common multiple of 3666 and 579?
707538
Calculate the common denominator of 19/448 and -85/62384.
249536
Calculate the smallest common multiple of 33 and 235272.
2587992
What is the common denominator of 31/11385 and -53/35420?
318780
Calculate the sm | {
"pile_set_name": "DM Mathematics"
} |
742487*l*p + p wrt p?
73*l**2 - 742487*l + 1
Find the third derivative of 6474085*z**3 + 6026707*z**2.
38844510
What is the third derivative of 2*z**5 - 32545956*z**4 - 18818*z**2 - 2495?
120*z**2 - 781102944*z
What is the third derivative of 98821*l**4 - 69*l**3 - 11*l**2 - 5*l + 12046 wrt l?
2371704*l - 414
What is the third derivative of -41*k**4 + 2232377*k**3 + 17952211*k**2 - 3?
-984*k + 13394262
Differentiate 210*x**3 + x**2 - 534024*x - 92502422 wrt x.
630*x**2 + 2*x - 534024
What is the first derivative of -55403911*s - 71734568?
-55403911
Differentiate 440458938*q*t**2*y**2 + 3*t**2*y**2 - 17*t**2*y + 2*t**2 - 2*t*y + 5*t + 54*y**2 wrt q.
440458938*t**2*y**2
Find the second derivative of 5364493*c**2*q**2 + 21*c**2*q - 2614*c**2 - 2*c*q**2 - 4 wrt q.
10728986*c**2 - 4*c
Find the second derivative of -182*k**2*t**2 - 108*k**2*t + 11*k**2 - 2*k*t**2 + 25499*k*t + k + 2*t**2 wrt k.
-364*t**2 - 216*t + 22
Find the third derivative of -100459916*y**4 - 74848623*y**2.
-2411037984*y
Differentiate 8328257*c**4 - c - 267274528 with respect to c.
33313028*c**3 - 1
Find the first derivative of 5774856*w + 12284653.
5774856
Find the third derivative of 83*z**5 + 7*z**4 - 2214*z**3 - 39267*z**2 + 99*z + 1 wrt z.
4980*z**2 + 168*z - 13284
What is the derivative of 46745*b**3*w**3 - 6146*b**3 + 63146313*w**3 + 2*w wrt b?
140235*b**2*w**3 - 18438*b**2
Find the third derivative of 73824514*c**2*z**3 - 2*c**2*z**2 - 2*c**2*z - 7*c*z**2 + 26*z**2 - 57 wrt z.
442947084*c**2
Differentiate -1670979*a - 11184367.
-1670979
What is the first derivative of -82586*f*n**2*s**4 - 32*f*n**2 + 443*f*n*s - 5846*f - 210 wrt s?
-330344*f*n**2*s**3 + 443*f*n
What is the second derivative of -400179369*c**2 + 136*c + 692707 wrt c?
-800358738
What is the derivative of -1199563*h**2 - 2126441 wrt h?
-2399126*h
Find the third derivative of -40892*i**3*q**3 - 345*i**3*q - i**2*q**3 + i*q**3 - 678*i*q**2 - 6427*q**2 + q wrt i.
-245352*q**3 - 2070*q
What is the derivative of -26629*x**2 - 22*x - 46040003?
-53258*x - 22
Find the first derivative of 11618060*a + 6033164 wrt a.
11618060
What is the first derivative of -78*t**2 - 55109*t - 33045030 wrt t?
-156*t - 55109
Find the third derivative of -317398351*a**4 + 68*a**2 - 140774*a wrt a.
-7617560424*a
Find the first derivative of 10*m**3 - 280165*m**2 - 101680002.
30*m**2 - 560330*m
What is the second derivative of -46798*l**5 - 5984*l**3 - 24*l + 14831689?
-935960*l**3 - 35904*l
What is the third derivative of 1510852696*c**6 + 488*c**2 - 11506*c - 6 wrt c?
181302323520*c**3
Find the third derivative of 8492809*c**4 + 18*c**3 - 490467*c**2 + 52.
203827416*c + 108
Differentiate 21*l*t**4 + 23*l*t + 27137*l - 8424*t**4 - 735 wrt t.
84*l*t**3 + 23*l - 33696*t**3
What is the derivative of -13512855*h**2 - 158511627?
-27025710*h
Find the second derivative of -403725*o**3 + 170*o**2 - 1045*o - 141898 wrt o.
-2422350*o + 340
Find the first derivative of 399062625*l + 923234779.
399062625
Find the third derivative of -526*c*p**4*u + 6*c*p*u + 30*c*p - 3435*c - 1984*p**4*u - 3*p**3 + 2*p**2*u - 2*p*u wrt p.
-12624*c*p*u - 47616*p*u - 18
Find the first derivative of 285277*b**3 + 12*b**2 - 2561594.
855831*b**2 + 24*b
Find the third derivative of -13467*t**6 + 654*t**4 + 42510852*t**2.
-1616040*t**3 + 15696*t
Find the third derivative of -935*c**4*o**3*s**2 - 94*c**4*s + 2*c**2*o**3*s**2 - c**2*s**2 - 134*c*o**3*s**2 - 87*c*o**2*s - 49*o wrt c.
-22440*c*o**3*s**2 - 2256*c*s
Differentiate -492*j**4 - 729*j**2 + 26*j - 50044848 with respect to j.
-1968*j**3 - 1458*j + 26
Find the second derivative of -9689629*k**2 + 9922519*k.
-19379258
Find the third derivative of -383*v**5 + 402*v**4 - 27*v**3 - 2278*v**2 + 1465*v wrt v.
-22980*v**2 + 9648*v - 162
Find the first derivative of -2*m**4 + 19416733*m**2 + 38813752 wrt m.
-8*m**3 + 38833466*m
Find the second derivative of 62*g**3*m + 17437*g**3 + 105*g**2*m - g*m + 593646*m - 144 wrt g.
372*g*m + 104622*g + 210*m
Find the third derivative of 3*j**5 - 268*j**4 - 3529*j**3 + 22746115*j**2 wrt j.
180*j**2 - 6432*j - 21174
Find the first derivative of -417026*f**2*l**2 + 3*f**2 + 118*f*l + 37096 wrt l.
-834052*f**2*l + 118*f
Find the third derivative of -20832808*d**3*i*v**3 - 2*d**3*v**3 - 8*d**2*v**2 + 2*i*v**3 - 99101*v**3 wrt d.
-124996848*i*v**3 - 12*v**3
Find the second derivative of 200884061*p*v**2*x**2 - p*v**2*x - 7*p*x - 11*p - 2*v**3*x**2 - v**3*x - 2*v**2*x - 2*v*x + 105*x wrt x.
401768122*p*v**2 - 4*v**3
Find the third derivative of 2*f**4 - 6877921*f**3 + 25274771*f**2.
48*f - 41267526
Find the first derivative of 188*c**4 + 15139*c**2 + c + 49900837 wrt c.
752*c**3 + 30278*c + 1
Find the third derivative of -4164826*r**4 + 2*r**3 - 7344*r**2 + 30*r + 2.
-99955824*r + 12
Find the third derivative of -7615793*l**3*y**2 - 2*l**2*y + 61*l*y**2 - 4874*y**2 wrt l.
-45694758*y**2
What is the third derivative of -1066439*g**3*k**3 + 146*g**3*k**2*m + g**2*k**2*m + 5206*g**2*k*m + 2*g*k**3*m - 1664*k**2*m wrt g?
-6398634*k**3 + 876*k**2*m
What is the second derivative of 21638441*c**3 - 6652315*c wrt c?
129830646*c
Find the second derivative of 22284432*s**3 + 686*s - 125798.
133706592*s
Differentiate 11530429*m**2*v + 123*m**2 - 2*m + 2148 with respect to v.
11530429*m**2
What is the first derivative of 383799*v**3 + 2*v**2 - 2*v - 331813136?
1151397*v**2 + 4*v - 2
Find the second derivative of 230333*i**3*p**3 - 40202*i**3*p + 2*i**3 + 24*p**3 - 16*p - 8 wrt p.
1381998*i**3*p + 144*p
What is the derivative of 1874077*n - 2415581?
1874077
What is the third derivative of -5547097*j**4 + 11658847*j**2 wrt j?
-133130328*j
Find the third derivative of -789273441*q**3 - 367559275*q**2 - 2 wrt q.
-4735640646
What is the second derivative of 2729*r*x**2 + 13056*r*x - 90*r - 1554*x**3 wrt x?
5458*r - 9324*x
Find the first derivative of -8166115*d*g**2 + 314*d + 2*g + 3998 wrt g.
-16332230*d*g + 2
What is the second derivative of 11088397*q**2 + 4159773*q?
22176794
Find the third derivative of 12581180*l**3*m + 5*l**2*m - 30*l**2 - 2*l - 5061 wrt l.
75487080*m
What is the third derivative of -3341940*w**3*z**4 - 250127*w**3*z**2 - 2*w**3*z - 2*w**3 - w*z**4 - w*z**2 - 2*z**2 wrt z?
-80206560*w**3*z - 24*w*z
What is the first derivative of 674308*i**2 - 950978?
1348616*i
Differentiate -4598*a**2*v - 23334*a*v**3 + 517793767*v**3 wrt a.
-9196*a*v - 23334*v**3
What is the derivative of -70160*b**4*n - 26*b*n**3 + 4*n**3 - 2098*n**2 + 69 wrt b?
-280640*b**3*n - 26*n**3
What is the third derivative of -3*g**2*h**3 + 114689*g**2*h**2 - 11*g**2*h + 11652851*h**6 - 16*h**2 wrt h?
-18*g**2 + 1398342120*h**3
What is the third derivative of 25580*i**5 - 48*i**4 + 28204180*i**2?
1534800*i**2 - 1152*i
Differentiate -646*b**4 - 200*b**2*k**2 + 5*b - 194*k**2 + 4*k - 5624 wrt b.
-2584*b**3 - 400*b*k**2 + 5
Find the second derivative of -55579730*f**2*z**2 + f**2*z + 97*f**2 + 2*f*z + 228*f + 16*z - 2 wrt z.
-111159460*f**2
What is the third derivative of 14*h**4 + 3269161*h**3 + 242924550*h**2?
336*h + 19614966
Find the second derivative of -12430*l**5 - 113*l**2 + 98*l + 3489 wrt l.
-248600*l**3 - 226
Find the second derivative of 3924*f*l**4 - 10250*f*l**3 - 8*f*l + 12930098*l wrt l.
47088*f*l**2 - 61500*f*l
What is the third derivative of -10*k**6 - 11997*k**5 - 6*k**2 - 689*k - 45 wrt k?
-1200*k**3 - 719820*k**2
What is the third derivative of -70240008*n**5 + 3544929*n**2 - 4*n wrt n?
-4214400480*n**2
What is the third derivative of c*l**3 - 59581*c*l**2 - 3*l**4 + 964803*l**3 + 9*l**2 wrt l?
6*c - 72*l + 5788818
What is the third derivative of 438609*b**6 + 38*b**5 - 85919067*b**2 wrt b?
52633080*b**3 + 2280*b**2
Find the third derivative of 95*d**2*k**3 + 2*d**2*k**2 - 25*d**2*k - 5*d*k**2 + 72*d*k - 208*d - 3141248*k**4 + k**2 wrt k.
570*d**2 - 75389952*k
Find the third derivative of -3*l**4*w - 68602*l**4 + 6*l**3*w + 2*l**2*w + 1113*l**2 + 4*l*w - 11 wrt l.
-72*l*w - 1646448*l + 36*w
Find the third derivative of 5*p**2*q*t**2*y**2 + p**2*q + 216673*p**2*t**2*y**3 - p**2*t*y**2 + 14*p*q*t**2*y**2 + 476*p*q*t*y**3 - 232*p*q wrt y.
1300038*p**2*t**2 + 2856*p*q*t
Find the third derivative of 3*p**4*y**2 + 44008*p**4 - 10*p**3*x - p**2*x*y**2 + 13*p**2*x + 2964*p**2 - 8*p*x*y + x*y wrt p.
72*p*y**2 | {
"pile_set_name": "DM Mathematics"
} |
j**2. Let p be x(-18). What is the greatest common factor of 29 and p?
29
Let y be (32 + 2)*6/(12/7). What is the greatest common divisor of y and 68?
17
Let p(x) = 2*x**2 + x + 3. Suppose -7*z + 30 = -2*z. Let s be (-4)/2 + z/(-6). Let u be p(s). Calculate the highest common factor of u and 18.
18
Suppose 199 = 55*t - 131. Calculate the greatest common divisor of t and 6.
6
Let r(l) = -l**2 - l + 252. Let t(o) = o - 1. Let i be t(1). Let q be r(i). What is the greatest common divisor of q and 28?
28
Let q be (-98)/(-4) - (-6)/(-4). What is the highest common factor of 368 and q?
23
Suppose -n = 3*n - 32. Let t be ((-9)/2)/(n/128). Let y be t/16*(-16)/6. What is the greatest common divisor of y and 12?
12
Let o(i) = 9*i - 43. Let k be o(5). Suppose 2*y - 3*z - 32 = y, k*y - 66 = 5*z. Calculate the greatest common factor of y and 190.
38
Suppose x - c = 2*x - 96, 0 = 5*x - 4*c - 507. Suppose -41 - x = -7*b. What is the greatest common divisor of b and 20?
20
Let y = 83 - 20. Let t = y - 9. Suppose -b + t = b. Calculate the highest common factor of b and 3.
3
Let j(a) = 152*a**2 + 11*a - 10. Let o be j(1). What is the highest common divisor of o and 51?
51
Suppose -4*x = -2*a + 318, 3*a - 329 - 181 = -5*x. Calculate the greatest common factor of a and 30.
15
Let l = -30 - -34. Suppose 160 = l*h + 4*y, 2*h + 4*y - 76 = 6*y. What is the greatest common factor of 156 and h?
39
Let h be ((-168)/(-8))/((-3)/(-33)). Suppose 0 = -a - 5*c + 31 + 22, -4 = 2*c. Suppose -8*t + 5*t + a = 0. What is the highest common divisor of t and h?
21
Suppose 0 = p - 0*i + 2*i - 67, -2*i + 319 = 5*p. Calculate the greatest common divisor of 35 and p.
7
Let g = -355 - -553. Let c(l) = -2*l + 2. Let x be c(-8). Calculate the greatest common factor of g and x.
18
Let t = -270 - -409. Calculate the highest common divisor of t and 1.
1
Suppose 223*n = 214*n + 405. What is the highest common factor of n and 285?
15
Suppose -36 = -130*i + 127*i - 5*f, 0 = i - 5*f - 12. Calculate the greatest common factor of i and 164.
4
Let d be 4 - (4 - 21) - 3. Let b = 74 - d. Calculate the highest common divisor of b and 7.
7
Suppose -3*j = -50 - 4. Let s be (-54)/(-6) - 1 - 2. Calculate the highest common factor of s and j.
6
Let m be (8/7)/(15/105). What is the highest common factor of m and 156?
4
Suppose 5*y = -0*v + 5*v - 50, 24 = 4*v + 4*y. What is the greatest common divisor of v and 232?
8
Suppose -153*l + 225*l = 22968. What is the greatest common divisor of 11 and l?
11
Let u = 29 + -31. Let d be (-65 + 0)*(u - -1). Let l(v) = -2*v - 3. Let g be l(-8). What is the highest common divisor of g and d?
13
Suppose -8 = -a - 3*a. Let o be -4*(a - 1)/(-1). Suppose -s + 5*k + 39 = 0, -4*k + 0*k = o*s - 60. Calculate the highest common divisor of s and 133.
19
Suppose 2476 = -5*j + 13641. Suppose 3*h = j + 107. Suppose -4*u = 4*x - 804, 4*x - u = 3*u + h. Calculate the highest common factor of x and 22.
22
Let l be (20/7)/((-8)/(-56)). Suppose 5*h + 17 = -63. Let d = h + 24. Calculate the highest common factor of l and d.
4
Let z be (369/(-5)*30/(-6))/1. What is the highest common factor of 82 and z?
41
Suppose -2*l = 2*j - 778, 27*j + 2*l + 1550 = 31*j. Calculate the highest common divisor of 4 and j.
4
Let m be 47 - 4/2*6/12. What is the highest common divisor of 92 and m?
46
Let t = -36 + -5. Let d = 101 + t. Let q(z) = -z**3 - 4*z**2 + 2*z - 3. Let s be q(-5). What is the highest common factor of d and s?
12
Let q(u) = -22*u. Let f be q(-3). Suppose 0 = 3*o + h - 67, o - 3*o + 42 = -2*h. What is the highest common factor of o and f?
22
Let z be (72/(-15))/((-20)/300). What is the greatest common factor of 252 and z?
36
Let j(o) = 3*o + 80. Suppose -4*c = 5*v - 7 - 8, -5*v + 15 = -3*c. Let i be j(c). Calculate the greatest common divisor of i and 32.
16
Suppose 10*f = 5*f + 25. Suppose f*a - 91 = 9. Let w = a - -36. What is the greatest common factor of 8 and w?
8
Let j(m) = 2*m**2 - 5*m + 392. Let y be j(0). Calculate the highest common divisor of y and 49.
49
Let v = 286 - 242. Calculate the highest common factor of v and 352.
44
Suppose 0 = -2*u + u + 3, 8*f = 2*u + 98. Let h(r) = -6 + 1 - 3*r + 0*r. Let s be h(-6). What is the highest common divisor of f and s?
13
Let i = 209 - 195. Suppose -2*h = h - 126. Calculate the highest common divisor of i and h.
14
Let i be (-207)/(4/(-2) + 1). Let d be (16/(-8) - -24) + 1. What is the greatest common factor of i and d?
23
Let g = -1936 + 2044. Let y = 1 + 17. What is the highest common factor of y and g?
18
Let c = 166 - 126. What is the highest common divisor of c and 15?
5
Let f(i) = i**2 - 16*i + 3. Let d be f(16). Suppose 0 = -4*b + 2*b + 2, d*k = -b + 7. What is the greatest common factor of 14 and k?
2
Let j = -91 - -94. Suppose 51 = -j*k + 195. What is the highest common divisor of k and 6?
6
Let f be (-18)/24*-4 - (1 + 1). Suppose f = a - 39. What is the highest common divisor of 8 and a?
8
Let x be 1/(-3) + (-48)/(-9). Suppose 0 = x*n, l + 2*l + 2*n = -210. Let p = 8 - l. Calculate the greatest common divisor of 13 and p.
13
Suppose -3*t - 18 = -0*t. Let m be (-5 + -1)/(t/104). Suppose 0 = i - 2*n - 23, 2*n = 3*n + 5. Calculate the greatest common divisor of m and i.
13
Let m be (-12766)/(-7) + (-40)/(-140). Calculate the greatest common divisor of 19 and m.
19
Suppose 2 + 1 = 3*b + 3*r, -4*b + 29 = -r. Let g be (b/18)/((-1)/(-72)). Calculate the greatest common divisor of 120 and g.
24
Let u = -609 - -929. What is the highest common divisor of u and 20?
20
Suppose -3*j - 25 = 5. Let b(s) be the third derivative of s**4/12 + 11*s**3/3 + 3*s**2 - 1. Let t be b(j). What is the highest common factor of 3 and t?
1
Let h be (3/(-2))/(2/(-4)). Suppose -159*p - 24 = -165*p. Suppose -h*d + p + 35 = 0. What is the highest common divisor of d and 13?
13
Let s be (-6722)/(-14) - 11/77. Suppose 0*k - s = -4*k. Calculate the highest common factor of k and 15.
15
Suppose 13*x = -4*x + 1768. Calculate the highest common factor of x and 16.
8
Let p = 103 + -59. Suppose -3*o = -3*l + 30, o = -4*l + 6*o + p. Let s be l*56/(16/4). Calculate the greatest common factor of 21 and s.
21
Let k(j) = 259 + 2*j - 246 + 0*j. Let t be 2/(-3) + (-96)/18. Let n be k(t). What is the greatest common factor of 11 and n?
1
Let y = 258 - 560. Let g = -181 - y. Let z be (-180)/(-16) - 2/8. What is the highest common factor of z and g?
11
Let u be ((-9)/15)/((-4)/(-60)). Let h be (-4 + u/(-2))*16. Let n be h + -1 - (-1 + 0). Calculate the highest common factor of n and 8.
8
Suppose k - 1 = -5. Let u(x) = x**3 + 4*x**2 - 2*x + 7. Let m be u(k). What is the greatest common divisor of 105 and m?
15
Let w(v) = 11*v - 31. Let y be w(7). Let l(f) = f**3 + 14*f**2 - 16*f + 8. Let r be l(-15). Calculate the greatest common divisor of r and y.
23
Suppose -23826 = -29*u + 16513. What is the greatest common factor of 107 and u?
107
Suppose 5*d + 0*d - 10 = 0. Suppose 2*r - 4 = d. Suppose -5*y - 3*q + 2 = -r, -5*y - 5 = 5*q. What is the greatest common factor of 32 and y?
4
Suppose 0 = -5*m - 0*m, j - 2080 = -3*m. What is the highest common factor of j and 65?
65
Let t(a) = -13*a - 3. Let y be t(-2). Let z = y - 21. Suppose -z*s = -s - 27. Calculate the highest common divisor of s and 9.
9
Let v(t) = -9*t - 120. Let l be v(-16). Calculate the highest common divisor of l and 24.
24
Let i(k) = -k**3 - 4. Let j be i(-2). Suppose -j*g - 17 = -m, -37 = -5*m - 3*g + 48. Calculate the greatest common factor of 221 and m.
17
Let y(t) = 13*t**2 - 29*t + 4. Let k be y(4). What is the highest common divisor of k and 72?
24
Let a be 1/((-4)/(-74)) - (-21)/14. Calculate the greatest common factor of a and 65.
5
Suppose -57*d - 72*d - 214 + 1762 = 0. Let t = 363 + -231. What is the greatest common factor of t and d?
12
Let d be 10/(-15) + (-106)/(-6). Calculate the highest common divisor of 323 and d.
17
Suppose -2*g + 1057 = -3*m, 3*g - 687 - 909 = m. Suppose o + 139 = -g. Let j be (-36)/(-14)*o/(-36). What is the greatest common factor of j and 24?
24
Let t(q) = -q**3 + 30*q**2 - 30*q + 80. Let m be t(29). What is the greatest common divisor of m and 102?
51
Suppose 2*m - 262 = -138. What is the greatest common factor of 403 and m?
31
Let w = -3054 - -3063. Suppose -5*m + 4*m + 2 = 0 | {
"pile_set_name": "DM Mathematics"
} |
e: 2, r: 4, v: 3, w: 2, x: 2}?
1/13
Four letters picked without replacement from {h: 2, t: 2, y: 2, m: 1, s: 1}. What is prob of picking 2 h, 1 s, and 1 y?
1/35
Calculate prob of picking 1 y, 1 p, and 1 z when three letters picked without replacement from {z: 1, r: 1, b: 1, x: 2, p: 2, y: 2}.
1/21
Two letters picked without replacement from ublu. Give prob of picking 1 u and 1 l.
1/3
What is prob of picking 1 c, 1 l, and 1 m when three letters picked without replacement from uqlocommclco?
3/55
Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {o: 1, f: 2, u: 1, w: 2, e: 1}.
2/21
Two letters picked without replacement from {r: 1, s: 5, y: 8, c: 2, g: 1}. What is prob of picking 1 g and 1 r?
1/136
Two letters picked without replacement from hhhhuhhuhhhhhuhhhh. What is prob of picking 2 h?
35/51
Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {v: 2, r: 1, s: 1, z: 2, o: 3, w: 6}.
2/35
Four letters picked without replacement from clllccllllllcccccllc. What is prob of picking 4 c?
42/1615
What is prob of picking 1 h and 2 q when three letters picked without replacement from {b: 5, r: 2, h: 5, a: 3, q: 3}?
5/272
What is prob of picking 2 a when two letters picked without replacement from {q: 3, m: 1, y: 3, z: 3, a: 5}?
2/21
Three letters picked without replacement from {y: 1, p: 6, z: 9, d: 1}. Give prob of picking 1 z, 1 y, and 1 p.
27/340
Four letters picked without replacement from {d: 1, a: 4, l: 2, r: 1, c: 2}. What is prob of picking 1 d and 3 a?
2/105
Three letters picked without replacement from iizzizzizzilzziilz. What is prob of picking 1 z and 2 i?
63/272
Four letters picked without replacement from dnnndnnwwcnnnvwq. What is prob of picking 2 n, 1 c, and 1 q?
1/65
Two letters picked without replacement from {x: 1, s: 3}. Give prob of picking 2 s.
1/2
What is prob of picking 1 p and 2 f when three letters picked without replacement from fppfiiifydpffidf?
9/112
Calculate prob of picking 2 k and 1 r when three letters picked without replacement from {g: 6, h: 5, k: 1, r: 7}.
0
Four letters picked without replacement from lnenlilhilnlil. Give prob of picking 3 n and 1 h.
1/1001
Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {o: 3, q: 1}.
1/2
Four letters picked without replacement from lqqqqqqqqqllql. Give prob of picking 1 q and 3 l.
40/1001
Two letters picked without replacement from uaauuuuu. What is prob of picking 2 u?
15/28
What is prob of picking 2 r and 1 u when three letters picked without replacement from {a: 1, u: 2, w: 2, j: 1, r: 2}?
1/28
What is prob of picking 2 f and 1 x when three letters picked without replacement from fgftiitfggefxffff?
7/170
Four letters picked without replacement from {r: 5, l: 3, z: 1, h: 6}. Give prob of picking 3 l and 1 r.
1/273
Calculate prob of picking 2 v when two letters picked without replacement from rvvvxffvffvrv.
5/26
Calculate prob of picking 4 w when four letters picked without replacement from iwiiiawwiwiiwiiwi.
3/476
Three letters picked without replacement from {r: 5}. What is prob of picking 3 r?
1
What is prob of picking 2 j, 1 v, and 1 r when four letters picked without replacement from {v: 4, j: 5, k: 4, r: 2, z: 1}?
4/91
Four letters picked without replacement from {n: 11, h: 4, x: 4}. Give prob of picking 2 n, 1 x, and 1 h.
220/969
What is prob of picking 1 y and 1 o when two letters picked without replacement from rrnoriynrnnrmnir?
1/120
Calculate prob of picking 1 t and 1 h when two letters picked without replacement from vtvttvpvptptvtth.
7/120
Three letters picked without replacement from {w: 1, c: 9, l: 2, i: 2, x: 4, k: 2}. What is prob of picking 2 i and 1 w?
1/1140
Calculate prob of picking 1 r and 1 x when two letters picked without replacement from zexezgllrerrlrezr.
5/136
Calculate prob of picking 1 g, 2 x, and 1 z when four letters picked without replacement from {x: 2, z: 5, g: 13}.
13/969
Two letters picked without replacement from {j: 1, g: 1, z: 1, c: 2}. What is prob of picking 1 z and 1 g?
1/10
Two letters picked without replacement from pugsjyj. Give prob of picking 1 j and 1 y.
2/21
Two letters picked without replacement from {p: 11, t: 9}. What is prob of picking 1 t and 1 p?
99/190
Three letters picked without replacement from ntnhkkkkkhnhkhnntn. What is prob of picking 3 k?
5/204
What is prob of picking 2 n and 1 x when three letters picked without replacement from lxrrrnlrrrxrlnlnl?
3/340
Calculate prob of picking 1 p, 1 q, and 2 w when four letters picked without replacement from qrvqqqqwqqrqwqqpqq.
1/255
Calculate prob of picking 2 u and 2 x when four letters picked without replacement from {x: 4, n: 4, u: 6}.
90/1001
What is prob of picking 1 b and 1 v when two letters picked without replacement from {a: 3, e: 1, q: 1, b: 1, k: 3, v: 2}?
2/55
Calculate prob of picking 2 y when two letters picked without replacement from yahaayhyayy.
2/11
Two letters picked without replacement from vvvvxvvvvvx. Give prob of picking 2 v.
36/55
Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {f: 3, w: 2}.
3/5
Calculate prob of picking 4 p when four letters picked without replacement from dddpddppdpdpdddddd.
1/612
Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {y: 5, z: 1, i: 1, g: 1, w: 1}.
1/36
Three letters picked without replacement from {r: 2, s: 1}. Give prob of picking 3 r.
0
What is prob of picking 2 r when two letters picked without replacement from rdrrrrrrrrrrrdrrrrdr?
68/95
Two letters picked without replacement from {s: 1, w: 1, x: 2, k: 3, d: 7}. Give prob of picking 2 x.
1/91
Four letters picked without replacement from ggrctccgrcttc. Give prob of picking 1 g, 1 r, 1 t, and 1 c.
18/143
Calculate prob of picking 1 m, 1 b, and 2 u when four letters picked without replacement from umbbmbumbm.
8/105
Two letters picked without replacement from tttttttttt. Give prob of picking 2 t.
1
What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvv?
1
Two letters picked without replacement from {z: 1, r: 1, d: 2}. What is prob of picking 1 r and 1 z?
1/6
What is prob of picking 2 d when two letters picked without replacement from uuduuduuuuuuuduuuuuu?
3/190
What is prob of picking 2 p and 1 i when three letters picked without replacement from opipppppcpcpocpoppcc?
11/228
Two letters picked without replacement from {f: 4, a: 4, z: 3}. Give prob of picking 1 f and 1 z.
12/55
What is prob of picking 3 m and 1 j when four letters picked without replacement from {m: 8, j: 2}?
8/15
What is prob of picking 1 n, 2 w, and 1 z when four letters picked without replacement from wzznwzznh?
4/63
Four letters picked without replacement from nhahaohhqcha. What is prob of picking 2 a, 1 q, and 1 c?
1/165
Four letters picked without replacement from sslnt. Give prob of picking 1 t, 1 s, 1 l, and 1 n.
2/5
What is prob of picking 2 q when two letters picked without replacement from {h: 2, f: 2, j: 3, q: 6}?
5/26
Two letters picked without replacement from {q: 1, v: 3, z: 1, r: 1, n: 1}. Give prob of picking 1 r and 1 v.
1/7
Two letters picked without replacement from {o: 1, n: 1, l: 1, e: 9, v: 1, p: 5}. Give prob of picking 1 n and 1 e.
1/17
Three letters picked without replacement from {d: 4, o: 3, c: 2, r: 1}. Give prob of picking 1 d, 1 r, and 1 o.
1/10
What is prob of picking 1 c and 3 q when four letters picked without replacement from {c: 5, q: 3}?
1/14
What is prob of picking 1 j and 2 m when three letters picked without replacement from {g: 3, m: 7, j: 9}?
63/323
What is prob of picking 1 c and 1 o when two letters picked without replacement from {w: 1, o: 5, z: 1, f: 2, c: 1}?
1/9
Four letters picked without replacement from bbbbbb. What is prob of picking 4 b?
1
What is prob of picking 1 o and 2 c when three letters picked without replacement from ccccocoo?
15/28
What is prob of picking 1 v and 1 i when two letters picked without replacement from ibjijfjjvjvjivv?
4/35
Three letters picked without replacement from ssbssbbssssssbsbsss. Give prob of picking 3 b.
10/969
What is prob of picking 1 g, 1 n, 1 f, and 1 m when four letters picked without replacement f | {
"pile_set_name": "DM Mathematics"
} |
at is the second derivative of 12956*c**4 + 6330*c + 2 wrt c?
155472*c**2
What is the third derivative of -70*m*o**3 - 9*m*o**2 - 2*o**2 wrt o?
-420*m
Find the third derivative of -m**4 + 6238*m**3 + 126*m**2 + 6*m wrt m.
-24*m + 37428
Find the second derivative of -253*k**2*u**2 - 61*k**2*u wrt u.
-506*k**2
Find the third derivative of 5*u**6*z - 53*u**5*z**2 - 22*u**2*z**2 + 2*u*z**2 wrt u.
600*u**3*z - 3180*u**2*z**2
What is the second derivative of -b**5 - 47*b**4 + 70*b wrt b?
-20*b**3 - 564*b**2
Find the second derivative of 5262*m**4 + 2*m**3 + 2*m**2 - 12097*m wrt m.
63144*m**2 + 12*m + 4
Find the third derivative of -3767*a**3 + 5*a**2 + 9*a wrt a.
-22602
Find the second derivative of 6*o**3*s + 3*o**3 + 2*o**2*s + 100*o*s + o wrt o.
36*o*s + 18*o + 4*s
What is the second derivative of -j**3 + 461*j**2*y - 2380*j*y wrt j?
-6*j + 922*y
What is the second derivative of m**4 - 2*m**3 + 5346*m**2 + 10220*m?
12*m**2 - 12*m + 10692
What is the first derivative of 6*a*h**3*k*u + 469*a*h**2*k + 3*a*u + 2*h**3*k - h**2*k*u + 2*h**2*k wrt u?
6*a*h**3*k + 3*a - h**2*k
Find the third derivative of -9*c**3*w**3 + 7*c**3*w**2 - c**3 + 3*w**2 wrt w.
-54*c**3
What is the second derivative of 9*u**3*v**4 + 12*u**3*v**3 + u**3*v - 2*u**3 - 565*u*v wrt v?
108*u**3*v**2 + 72*u**3*v
What is the second derivative of -146*w**4*y**2 + w*y**2 - 2*w - 133*y wrt w?
-1752*w**2*y**2
Find the third derivative of 2*j**5*n - 562*j**4*n - 4*j**2*n + 24*n wrt j.
120*j**2*n - 13488*j*n
What is the third derivative of -148*p**5 + 209*p**2?
-8880*p**2
What is the third derivative of -36*a**3*s - 2*a**3 - 798*a**2*s - a*s - 2*a wrt a?
-216*s - 12
What is the first derivative of 198*d**2 - 808?
396*d
What is the third derivative of 274*c**6 + 136*c**2 wrt c?
32880*c**3
Differentiate -47*g**2*m**3 - 2*g**2*m + 12*g*m + 2346*m**3 with respect to g.
-94*g*m**3 - 4*g*m + 12*m
Find the third derivative of 68*n**5 - 2*n**3 + 83*n**2.
4080*n**2 - 12
What is the third derivative of 6804*k**3*s*y**3 + k**2*s + 150*k**2*y**3 + k**2*y**2 + 7*k*s*y**3 wrt k?
40824*s*y**3
Differentiate 133*i*l**3 + i*l**2*o + i*l*o - 2*i*o + 2*l**3 + 22*l**2*o + l - 2 wrt i.
133*l**3 + l**2*o + l*o - 2*o
What is the second derivative of 1314*b*z**5 - 3*b*z**2 + 10*b*z + 15*z + 16 wrt z?
26280*b*z**3 - 6*b
What is the derivative of 10*h**2*k**3 - 2*h*k**3 + h*k**2 - 35*k**3 wrt h?
20*h*k**3 - 2*k**3 + k**2
What is the first derivative of k**2 + 64*k - 225 wrt k?
2*k + 64
What is the second derivative of 75*h*m*p + h*p**2 - 342*m*p**4 - 2*p wrt p?
2*h - 4104*m*p**2
What is the third derivative of 2*l**5 - 29*l**3 + 673*l**2?
120*l**2 - 174
Differentiate 636*t - 2588 with respect to t.
636
What is the second derivative of -3*a**3 - 609*a**2 + 194*a wrt a?
-18*a - 1218
Find the third derivative of 82*j**3*u**3*v - 3*j**3*u**2 + 6*j**3*v**3 + 3*j**2*u**2*v**3 + 11*j*u**2*v**2 + 2*j*v**3 + u**3 + 9*u**2*v**3 wrt j.
492*u**3*v - 18*u**2 + 36*v**3
Find the second derivative of 475*f**3 - 2*f**2 - 64*f + 50.
2850*f - 4
Find the second derivative of 7428*a**2*t**3 + 11*a*t**3 - 2*a*t - 2*t**3 - 268*t wrt a.
14856*t**3
What is the second derivative of 480*n**4 + 3*n**2 - 206*n?
5760*n**2 + 6
Find the second derivative of 71*d**2 - 1115*d.
142
What is the third derivative of -11*f**3*i**2 - 3*f**3 + f**2*i**2 - 19*f**2*i - 2*i**2 wrt f?
-66*i**2 - 18
What is the third derivative of 260*i**5 - 40*i**2 - 2*i wrt i?
15600*i**2
Differentiate 15*n**2 - 179*n - 4831 wrt n.
30*n - 179
What is the second derivative of -2854*z**3 + 4601*z?
-17124*z
Differentiate -10*i*u**3*x + 9*i*u**2*x - 3*i*u - 8*u**3 with respect to x.
-10*i*u**3 + 9*i*u**2
What is the third derivative of -371*s**3 - 508*s**2?
-2226
Find the second derivative of 17*l**3*x**3 - l**3*x + 2*l**3 - 12*x**4 - 109*x wrt x.
102*l**3*x - 144*x**2
What is the second derivative of 1101*l**3 + 54*l - 9 wrt l?
6606*l
Find the third derivative of -11751*c**3 - 14005*c**2 wrt c.
-70506
Differentiate 3*c**3*s*z + 111*c**3*s - c**3 + c**2*s - 13*c**2 - 2*c*z + s wrt s.
3*c**3*z + 111*c**3 + c**2 + 1
What is the first derivative of -3*f**3 + 21*f**2 + 53 wrt f?
-9*f**2 + 42*f
Find the third derivative of -n**5 + 2*n**4 - 3963*n**3 - 3120*n**2 - 4*n.
-60*n**2 + 48*n - 23778
What is the second derivative of 20*i**4 + 4*i**2*q**3 - 2*i**2 - 2*i*q**3 + i*q**2 + 58*i*q wrt i?
240*i**2 + 8*q**3 - 4
What is the second derivative of 11*g**3 - 4*g**2 - 314*g wrt g?
66*g - 8
Find the first derivative of -c**2 - 139*c*j**2 - 304*j**2 wrt c.
-2*c - 139*j**2
What is the derivative of -5290*f*t**2 + 5579*t**2 wrt f?
-5290*t**2
Find the second derivative of -2152*y**3 - 163*y + 27.
-12912*y
What is the second derivative of 33*b**4 + 2*b**3 - 314*b wrt b?
396*b**2 + 12*b
What is the first derivative of 3*r**3*v - 196*r**3 + r*v - 4*v**2 wrt v?
3*r**3 + r - 8*v
Find the third derivative of 963*i**3*u - 744*i**2*u wrt i.
5778*u
What is the second derivative of z**3 + 3146*z**2 - z + 4?
6*z + 6292
Find the second derivative of -92*d**3 - 2*d**2 + 687*d.
-552*d - 4
What is the third derivative of -80*l**5 + 5*l**2 - 10*l wrt l?
-4800*l**2
What is the second derivative of -29*c*w**4 - 2322*c - 131*w**4 - 2*w wrt w?
-348*c*w**2 - 1572*w**2
What is the first derivative of -19*h**2 + 2*h + 205?
-38*h + 2
What is the first derivative of 2*g**4*y - g**2*y - 23*g*y - 123*y wrt g?
8*g**3*y - 2*g*y - 23*y
What is the second derivative of -a*p**2 - 49*a*p*u - 2*a*p - a*u - 4*p**4*u - 2*p**4 - u wrt p?
-2*a - 48*p**2*u - 24*p**2
Differentiate 376*t + 177.
376
What is the second derivative of 1857*k**3 - k**2 + 2*k + 754 wrt k?
11142*k - 2
Differentiate 3*g**3*j - 435*g*j**2 + 2*j**2 - 27*j + 55 with respect to g.
9*g**2*j - 435*j**2
What is the third derivative of 123*m**3*o + 2*m**3 + 2*m**2*o - m*o - 3*o + 2 wrt m?
738*o + 12
Find the first derivative of -3144*l**2 + 2634.
-6288*l
What is the second derivative of -13*b**4 + 2*b**3 + 689*b?
-156*b**2 + 12*b
What is the first derivative of -g**3*r + g**3*u + g**2*r*u + 3*g**2 - 9*g*r + 48*r*u wrt u?
g**3 + g**2*r + 48*r
Find the first derivative of 6*c*h*z + 22*c*h - 12*c*z**2 - 2*c + 3 wrt z.
6*c*h - 24*c*z
Differentiate -h**4 - 1790*h - 695.
-4*h**3 - 1790
Find the second derivative of -49*k**3*t**3 + 2*k**3 + 12*k**2*t**3 + 25*k*t**3 - 50*k*t - k wrt k.
-294*k*t**3 + 12*k + 24*t**3
What is the first derivative of 203*k - 282 wrt k?
203
Find the third derivative of -19287*q**3 + 3*q**2 + 1168*q wrt q.
-115722
What is the first derivative of -517*v*x**3 - 18*v + 2 wrt x?
-1551*v*x**2
What is the second derivative of 2*o*r**3 + 1017*o*r**2 - 37*o*r - 6*r wrt r?
12*o*r + 2034*o
What is the first derivative of 3*a**2*x - 2*a*i*x + a*i - 2*i*x + 7*i wrt a?
6*a*x - 2*i*x + i
What is the third derivative of -3*t**5 - t**4 - 72*t**3 + 159*t**2 - 7*t + 1 wrt t?
-180*t**2 - 24*t - 432
Find the second derivative of -3*t**3 + 276*t**2 - 3184*t wrt t.
-18*t + 552
Find the first derivative of -17*o**3 + 2*o**2 + 19.
-51*o**2 + 4*o
Find the first derivative of 4*h*k**2 + 7*h*s**2 + 18*k**2*s - 2*k**2 + 3*k*s**3 - 16*k wrt s.
14*h*s + 18*k**2 + 9*k*s**2
Find the second derivative of 5189*c**3*k**2 + 2*c**2*k**2 + 7*c*k**2 - k**2 + 2*k wrt c.
31134*c*k**2 + 4*k**2
Differentiate -2*t**2*x**3 + 41*t**2*x**2 - 93*t**2 + 1 wrt x.
-6*t**2*x**2 + 82*t**2*x
What is the derivative of -41*o**4 - 7*o - 1238?
-164*o**3 - 7
What is the third derivative of -2927*g**5*u - 169*g**2*u + g**2 + 8*g*u wrt g?
-175620*g**2*u
What is the third derivative of -6*g**3*i*u - 2*g**3*i + 2*g**3*u + 2*g**3 + g**2*i*u - 2*g**2*i - 2*g**2*u - 11*g**2 - g*i wrt g?
-36*i*u - 12*i + 12*u + 12
Find the third derivative of 177*t**6 - t**5 - 477*t**2.
21240*t**3 - 60*t**2
What is the third derivative of -14*a**4*n - 92*a**4 - a**2 - 9109*a*n wrt a?
-336*a*n - 2208*a
Find the third derivative of -i**3*j**2*o**3 - 1292*i**3*j**2*o + 8*i**2*j**2*o**3 + 7*i**2*j*o**2 + 2*i*j**2 + 12*j*o**3 wrt i.
-6*j**2*o**3 - 7752*j**2*o
What is the third derivative of d**5 - 107*d**4 + 120*d**2 + 2?
60*d**2 - 2568*d
Find the second derivative of 67*f**2 - 4*f - 631.
134
Find the third derivative of 5695*h**3*x - 13*h**2*x + h*x - 26 wrt h.
34170*x
What is the second derivative of -734*r**2 + 5768*r?
-1468
What i | {
"pile_set_name": "DM Mathematics"
} |
-2*i = -p - 2, z*i - 4*p - 2 = -0*i for i.
1
Suppose i + 4*s = -6, 4*i = -0*i - 4*s - 48. Let q be (20/(-35))/(4/i). Solve 1 = 3*p + q*d, -3*p - p + d = 6 for p.
-1
Let v be -1*(3 - 3)/(-2). Solve 3 = -3*n - 4*s + s, -4*n - 5*s = v for n.
-5
Let h be -1*(3 - 3) - 10. Let v be -3*(2 - h/(-3)). Let j be (-3)/(4/2 - 3). Solve 0*z - 4*z = -j*g + 8, -5*g - 40 = v*z for g.
-4
Suppose -4*v = 3*l - 4*l + 3, 4*l = 3*v + 25. Suppose -3*f = t + 5, -5*t + 4*f = l*f - 11. Let d = -4 + t. Solve 2*i + 8 = d, 4*i - 13 + 35 = -2*r for r.
-3
Let u = -1 - -1. Let d = 7 - 7. Let y = d - u. Solve -4*j - 5*t + 7 = 0, 5*t = -j - y*t - 2 for j.
3
Let k = 1 - -7. Let l = k - 5. Solve -8 = 4*g + 3*j, -2*g + l = 3*j + 1 for g.
-5
Let u(r) = r**3 - 1. Let j be u(1). Suppose z + 9 + 16 = 4*b, 4*b = 3*z + 27. Suppose j*x - b = -3*x. Solve -3*q + 10 + x = -o, 4*q - 2*o = 14 for q.
5
Let l be -1 - (-4 + (2 - 2)/1). Solve -u = 2*h + 4*u - 11, -l*u - 12 = -5*h for h.
3
Suppose 5*g = 2*w - 2 - 23, 3*w = 5*g + 25. Suppose w = 3*k + k - 16. Suppose 3*c = 5*c - k. Solve -z = 2*a - 0 + c, 0 = -4*a + 4 for z.
-4
Suppose -3*c - 2*c + 30 = 0. Solve 4*t - 12 = q, -2*q - c = -3*t + 4*t for t.
2
Let t be (-665)/14 - 1/2. Suppose 3*x - 5*y = 19, -17 = -4*x + 2*y + 3*y. Let z be x/(-6) - t/18. Solve 0 = 3*o + 5*v - 16, -2*v = -2*o - z*v - 1 for o.
-3
Let l(r) = r**3 + 8*r**2 + 7*r - 9. Let d be l(-7). Let t(h) = -h**2 - 9*h + 5. Let a be t(d). Solve -5*g = -4*x - 0*g, -a*x + 45 = 5*g for x.
5
Suppose 6 = 5*h - 54. Suppose -2*q = q - h. Solve 3*m + 24 = 3*t, -q*m = -2*t + 24 - 0 for t.
4
Let j be (-5 - -4) + -1 - (2 - 7). Suppose -5*w = -3*p - 15, -2*p - 19 = w - 7*p. Solve -14 = -5*l - 3*q, 3*l - j*q = w*l - 12 for l.
1
Let m(p) = p**3 - 4*p**2 + 7*p - 8. Let v be m(3). Solve -v*r + 2*h + 14 = 0, r - h + 1 = 3 for r.
5
Let q(g) = g**3 + 25*g**2 + 22*g - 47. Let x be q(-24). Solve 3*r = t + x - 3, 3*r + t + 10 = 0 for r.
-2
Let c = 24 - 12. Let s be 2*-1*(-30)/c. Suppose s*r = 4*t + 6, 2 + 5 = 4*r - t. Solve -2*z - g = 2*g + 19, -2*g = -4*z + r for z.
-2
Let q(w) = -w**3 + 7*w**2 - 5*w - 2. Let i be q(6). Solve 2*t + 8 = 0, i*t - t + 13 = -a for a.
-1
Let b(x) = 2*x**2 - x + 2. Let t be b(0). Solve 2*j - t*k + 6 = 0, 2*j - k = 4*k - 6 for j.
-3
Let f(b) = 4*b**2 - 3*b + 2. Let k be f(2). Suppose 3*w - 2*g = 13, 0*g - 3*g = -k. Solve 4*h + 4*q - 12 = 0, h - 2*q = -q - w for h.
-2
Let r(q) = q**3 - 3*q + 3. Let m be r(2). Let p be (5 - (1 - -2)) + 2 + 1. Solve m*w + 22 = 4*f, p*w + 3*f - 2 = -f for w.
-2
Suppose 0 + 0 = -8*l. Solve 0 = 3*a + 5*d + 10, l = 4*a - 2*d - 2 - 2 for a.
0
Suppose -20 = -5*v, -v + 138 = 3*z - 4*v. Suppose -2*m - 4*x + 32 - 2 = 0, -5*x + z = 5*m. Suppose -10 = -m*q - 0*q. Solve -3*r = 12, -4*r - 17 = q*o + 1 for o.
-1
Let p(w) = w**3 + 12*w**2 + 10*w - 8. Let o be p(-11). Let y be 2/(-8) - (-9)/4. Solve -y*d = 5*l - 3*d - 10, -o*d + 9 = -2*l for l.
3
Let u be (-2)/8 + 102/24. Suppose u*y - 3 - 1 = 0. Solve -l + 16 = -5*n, l + 5 - y = 0 for n.
-4
Suppose -3*h + 9 = -p - 7, -5*p - 20 = -3*h. Let r = 2 - h. Let s be 24/(-9)*r/2. Solve s*b = -5*q - 14, 4*q = -2*b + 1 - 11 for b.
-1
Let f = -26 - -20. Let n be (-10)/(-8) + f/(-8). Solve n*r + 3*r = 4*g - 7, -3*r = -2*g + 5 for g.
-2
Suppose t + 2*p - 3 = 0, 5*t + 30 = 10*t + 5*p. Solve 4*y = 2*w + 6, 0*y - t = -5*y + 2*w for y.
3
Suppose 11*m + 2*m - 143 = 0. Let j(y) = 7*y**2 + y. Let h be j(-1). Let f be (4/6)/(2/h). Solve 5*g = -4*w - 11, -f*w + m = -0*g - 3*g for w.
1
Suppose -3*f + f = -6. Solve 3*l + 0*l = -d + 10, l - f*d = 0 for l.
3
Suppose -3*a + 2*a = -2*k + 22, 20 = k - 5*a. Suppose k = 4*p + 2. Solve -7 - 3 = 5*t + 5*c, 0 = -3*t - p*c - 6 for t.
-2
Let c(m) = 2*m - 6. Let i be c(4). Let z(l) = -48*l**3 - 2*l**2 - l. Let j be z(-1). Let x = j - 26. Solve i*d - 1 = s, 0 = 4*d - d + 3*s + x for d.
-2
Let r be 2/10 - 8/(-10). Suppose r = 2*o - 3. Let b be (-3*24/(-9))/o. Solve n = -2*l + 4*l + 5, 3*l - b*n = 0 for l.
-4
Suppose -s - r = 4*s + 4, -20 = 3*s + 5*r. Suppose s = d + 1 - 5. Solve d*u + 5*o + 3 = 0, 3*u + 4*o = -5 + 2 for u.
3
Let i = -1 + 1. Let u be i - 0 - (0 + 0). Let q = u + 0. Solve 2*g = 3*p - q*p, -5*g - 9 = -3*p for p.
-2
Let z(l) = 2*l + 130. Let a be z(0). Suppose q + 4*q = a. Solve -5*g - 38 + 13 = -4*i, -5*i + q = -g for i.
5
Suppose 0 = q + 2 - 8. Solve h = 0, -v + h + 20 = -q*v for v.
-4
Let q(y) = y**2 - 6*y + 5. Let s be q(5). Solve -3*b = 2*t - s + 1, 5*b + t - 3 = 0 for b.
1
Let a be (2/4)/((-6)/(4 + -64)). Solve 33 = -4*c - a*u - 0, -5*c - u - 15 = 0 for c.
-2
Let p be -1 + (-1 - -7) + -3. Suppose -5*o - p*s + 6*s = -23, 6 = -3*s. Solve -o*w + 0*i + 3 = -3*i, 5*w - 2*i = 11 for w.
3
Suppose -6*f = 2*w - 4*f + 6, -2*w + 5*f - 13 = 0. Let a be 2 - 4 - 0 - w. Solve -2*m + 8 = -4*n, a*n + 2*m - 16 = -2*m for n.
0
Suppose -3*h - 1 = -h + r, -3*h - 5*r - 5 = 0. Solve h = -3*w - 4*q + 20, 5*w - q = 2*q + 14 for w.
4
Suppose 3*f = 3, 5*f - 14 + 4 = k. Let x(a) = a**3 + 5*a**2 - 2*a + 6. Let d be x(k). Solve 4*y - d = 2*q, -2*q - 8 = -3*y + 5 for q.
-2
Suppose -5*a = 3*s - 28, 2*s + 52 = 5*a - s. Let c be 0 + (-2)/(a/(-12)). Solve 2*u - c*r = -0*u + 9, 5*r + 17 = 4*u for u.
3
Let g be ((-1)/(-2))/((-3)/(-42)). Suppose p = g - 4. Suppose 3 - 12 = -p*f. Solve 5*v - f*v + 16 = 4*j, -3*j = 2*v + 2 for j.
2
Let k = -29 - -21. Let i be 6 + (-3)/((-12)/k). Solve 0 = i*g - f + 22, -g + 4*f - 8 - 5 = 0 for g.
-5
Let o(x) = -x - 4. Let q be o(-6). Suppose 2*y = 5*w - 110, 0*w - w + q*y + 22 = 0. Solve -4*c = -3*h - 19, 2*c - 2*h - w = 2*h for c.
1
Suppose 14*m = 16*m. Solve -5*k + h + 0*h + 18 = m, -k = 5*h + 12 for k.
3
Suppose 0 = 3*q + 2*q. Solve q*l + 3*r = 3*l + 3, -l - 3 = -2*r for l.
1
Let q be (-24)/(4 - (-44)/(-8)). Solve 5*s - 5 = -4*i, 5*s - q = -5*i - 6 for s.
-3
Let t = -4 - -19. Let n be (t/6 - 3)*0. Solve -5*y + 2*s - 6*s + 10 = n, 0 = 3*y + 4*s - 6 for y.
2
Let t(m) = -m**3 + 3*m**2 - 2*m + 1. Let c be t(2). Solve 0*v - f = 4*v - c, v = 5*f - 26 for v.
-1
Let y(v) = -v + 7. Let p be y(5). Let a = -7 + 7. Solve -h - 7 = -5*r, -2*h - r + 3*r + p = a for h.
3
Suppose 2*l - 12 - 22 = 0. Suppose 29 = -2*q + 2*j + 3*j, 4*q = -5*j + l. Let n be (4/q + 6)*1. Solve 0 = n*c - s - 5, -5*c + 3 = 2*s - 13 for c.
2
Suppose -5*m = y + 2*y + 59, -2*m - 32 = 4*y. Let h be m/(-4)*6/3. Solve -3*k - 40 = -h*v - 0*k, 3*k = -3*v for v.
5
Let m(g) = -g**2 - 16*g + 5. Let a be m(-7). Let i(k) = -k**3 - k**2 + 4*k - 4. Let h be i(-4). Let l = a - h. Solve -4*n = -y - 15, 3*y - l = -3*n - 2*y for n.
5
Let u = -2 + 6. Suppose 5*j - 3*j = 6. Let p(i) = -2*i - 1. Let d be p(-3). Solve u*t - 62 + 22 = -d*x, t = -j*x + 17 for x.
4
Suppose 0 = -g - 5, i + 0*i = g - 1. Let v = -6 - i. Solve v = -m + 2*p - 5, -5*m + 1 = -p - 1 for m.
1
Let j be (-4)/6 + 136/51. Solve -4*c + 2*p - 2 = j, 0 = -2*p + 4 for c.
0
Suppose 1 = -s - 0*s. Let n(l) = 8*l**2. Let i be n(s). Let z be (-2)/(-8) - (-62)/i. Solve 0 = -d + 5*u - 10, -2*u = -6*u + z for d.
0
Let o be (1 - 1 - 0)/(-1). Suppose 5*k = s + 102, -4*k = -o*s + s - 78. Suppose 0 = 13*n - 77 - 27. Solve 3*x + p + k = -4*p, n = 3*x - 2*p for x.
0
Let x be (-4)/(-2) + 0 + -2. Let j(v) = -2*v + 13. Let a be j(6). Let d = a - x. Solve -2*r = f - 4, 4*f - 4*r = -9 + d for f.
0
Let v = -18 + 18. Solve v*u = 4*u + 4*h, 0 = -4*h + 4 for u.
-1
Let t be (-4)/10 - 42/(-5). Let v be 94/4 - 1/(-2). Suppose 3*y - 2*h = 13, -5*y + v = -2*h - 3. Solve -3*g - 4*w = -t*w - y, -4*g = 2*w - 2 for g.
1
Suppose -s = -w - 4*w + 6, 0 = -5*w + 10. Let b = 76 + -74. Solve -b*c - 3*f - 2 = 2*f, s*f - 4 = -3*c for c.
4
Let b(q) = 2*q + 6. Let p be (0 - (-2)/(-6))*-15. Let s be b(p). Solve 2*y + 8 = -3*k, y - 3*k = 5*y + s for y.
-4
Suppose -4*h + 3*s + 17 + 52 = 0, -9 = 3*s. Let l be 13/4 + 1/(-4). Solve -h = 4*t - r, 5*t + 6 = -2*r - l for t.
-3
Let q(l) = l + 7. Let n be q(-4). Solve n*z + 3*b = b - 9, 5*z + 37 = 4*b for z.
-5
Let r(h) = -h**2 + 6*h - 6. Let i be r(4). Let g be (8/12)/(i/9). Solve -g*u + 5*k = -5*u - 17, 3*u + 4*k + 15 = 0 for u.
-1
Let z(r) = r**2 + 10*r - 8. Let k be z(-11). Solve -3*h + 2*h = -5*w - 16, -k*h = -3*w for w.
-4
Suppose c - 109 = -5*o + 2*o, -12 = -3*c. Let v(t) = 8*t. Let l be v(-3). Let u = o + l. Solve 5*a + 2*z + 6 = -u, -z = 2*a + 7 for a.
-3
Let h(o) = -2*o + 1 | {
"pile_set_name": "DM Mathematics"
} |
?
False
Is 1/52 greater than 109?
False
Are -31 and 3 equal?
False
Is -2397 less than or equal to -11978/5?
True
Are -3/590 and 7 nonequal?
True
Is 5/1813 not equal to 0?
True
Is -3/571 greater than -1?
True
Which is greater: 745 or 741?
745
Is 61360 at most 61359?
False
Is 30004 bigger than 30004?
False
Which is bigger: 0 or -1/3877?
0
Are -1 and -9/230 nonequal?
True
Which is bigger: 128/203 or 1?
1
Is -0.1 less than -27375?
False
Is 92 not equal to 181/2?
True
Is 335/13 at least 25?
True
Is 9953/7 at most as big as 1421?
False
Which is bigger: -189 or -190?
-189
Is 0 <= -3/64?
False
Which is smaller: 194/87 or 2?
2
Which is bigger: 116 or 117?
117
Is -21 <= 0.13?
True
Is -0.7 at least 1.93?
False
Which is smaller: -129 or -124?
-129
Is -0.105 > 0?
False
Which is bigger: 1 or -4/361?
1
Is -57 equal to -63?
False
Is 41117 less than 41117?
False
Which is greater: -5 or 145?
145
Are -3/2 and -1/993 equal?
False
Which is smaller: 1890/11 or 172?
1890/11
Which is smaller: 849/5 or 169?
169
Which is bigger: -1 or 1/442?
1/442
Is -707 at least as big as -707?
True
Is 17304 < 2/5?
False
Which is bigger: -17 or -158/9?
-17
Which is greater: -5/6 or -2/255?
-2/255
Which is smaller: -2/679 or 0.1?
-2/679
Is 458 at most 0.1?
False
Is -268 equal to -1880/7?
False
Is 295 greater than or equal to 294?
True
Is -15 bigger than 2/31?
False
Which is bigger: -1167 or -2?
-2
Which is bigger: 84 or 102?
102
Which is bigger: -1 or -2/10885?
-2/10885
Which is greater: -326 or -328?
-326
Does -103 = -7?
False
Which is bigger: -1/101 or 5?
5
Is 641 at least 633?
True
Which is greater: 244 or 236?
244
Is -394 > -393?
False
Is -18 not equal to -16?
True
Does -5 = 1070?
False
Is -36 at least as big as 20?
False
Are -370 and -368 nonequal?
True
Which is bigger: 4/261 or -3?
4/261
Is 0.5 bigger than 1.3?
False
Which is smaller: -1/1221 or 0?
-1/1221
Is 5/496 at most as big as 2/19?
True
Which is smaller: 15 or 38?
15
Is 1 greater than 1879?
False
Which is smaller: -1 or -102?
-102
Is -1387 at most -1388?
False
Is 37 at least as big as 71/2?
True
Which is smaller: -917 or 1.7?
-917
Which is smaller: 146 or 138?
138
Is -14 greater than or equal to -1/4?
False
Are -130 and -130 equal?
True
Is 3 at least as big as 113/41?
True
Is 3688 < 2/5?
False
Which is greater: -7118 or -7117?
-7117
Is -171 less than or equal to -109?
True
Is 9882 greater than 9883?
False
Is -6328 > -6330?
True
Which is smaller: 56 or 55?
55
Which is smaller: -1 or -17/148?
-1
Is -924 greater than -933?
True
Which is smaller: -1/477 or 1?
-1/477
Which is bigger: -1/2 or 142?
142
Are 433/26 and 17 nonequal?
True
Which is greater: 0 or 1/1376?
1/1376
Which is greater: 1202 or -3?
1202
Do 18 and -18 have the same value?
False
Does 90 = 164?
False
Which is greater: -3 or 124?
124
Which is greater: -30 or -28?
-28
Is 0 at least as big as 4/479?
False
Is 116 less than 116?
False
Which is smaller: -69/97 or -1?
-1
Which is greater: -13 or -2?
-2
Is 74 at most as big as 966/13?
True
Which is smaller: -71 or -431/6?
-431/6
Is -1/67 != 20?
True
Which is greater: 1 or -2/731?
1
Is 185 greater than or equal to 180?
True
Is -38 at least 7?
False
Which is smaller: 1 or -0.2239?
-0.2239
Which is smaller: 0 or 3/446?
0
Is -0.08 greater than -0.05?
False
Which is smaller: 0.008 or -6?
-6
Is 0 <= 3/670?
True
Is -4/3 < 143?
True
Which is smaller: -6/67 or 1?
-6/67
Which is smaller: -18393 or -18394?
-18394
Is 608 greater than 606?
True
Which is smaller: -0.3 or -55?
-55
Which is bigger: 23 or 14?
23
Which is bigger: -18 or -40?
-18
Is -2/643 equal to 1?
False
Which is smaller: -5 or -430/107?
-5
Is -552 bigger than -2?
False
Is -652 at least -3?
False
Which is smaller: 833 or 832?
832
Which is greater: -60 or -64?
-60
Are 854 and 855 equal?
False
Are 0 and -1/3307 nonequal?
True
Is 25 not equal to 3?
True
Which is greater: -669 or -671?
-669
Are 687 and 687 non-equal?
False
Do 4/347 and -1 have the same value?
False
Is -2402 at least as big as -2402?
True
Which is smaller: -1389 or -1388?
-1389
Does 77 = 76?
False
Is 0 >= 2/2275?
False
Is 32 less than 75?
True
Which is greater: -100 or -59?
-59
Which is smaller: -2/11 or 46?
-2/11
Is -10 smaller than 465?
True
Is -1 greater than or equal to 119?
False
Which is bigger: -17 or 31?
31
Is -43 at least as big as -44?
True
Does 239 = 232?
False
Are -488 and -474 non-equal?
True
Which is bigger: 0 or 162?
162
Is 1 equal to 223?
False
Which is greater: -1 or -1/8340?
-1/8340
Which is smaller: 0.1 or -5/196?
-5/196
Is 1 >= 2/6129?
True
Which is bigger: 28.4 or 2?
28.4
Which is smaller: 15 or -167?
-167
Which is smaller: -20 or -101/5?
-101/5
Are 8944 and 8946 non-equal?
True
Which is smaller: -75 or -67?
-75
Is 423 >= 431?
False
Is -133 < -131?
True
Is -367 at most as big as -369?
False
Which is bigger: 906 or -2?
906
Is -25 smaller than -76/3?
False
Which is greater: -2234 or -2235?
-2234
Is 177 != 3?
True
Are -1 and 2/31633 equal?
False
Which is smaller: -111 or -99?
-111
Is 89 at most -3?
False
Which is smaller: -331 or -369?
-369
Which is bigger: -2 or 1/33?
1/33
Which is smaller: -2/9 or -0.45?
-0.45
Is 523 at most as big as 6?
False
Are -187 and -187 unequal?
False
Are -21 and -17 non-equal?
True
Which is bigger: 1050/11 or 96?
96
Is -3565 bigger than -7129/2?
False
Which is bigger: -994 or -3979/4?
-994
Do -5 and 0 have different values?
True
Which is bigger: 3/304 or -1?
3/304
Which is smaller: 1 or -2/2017?
-2/2017
Is 4103 smaller than 4110?
True
Which is bigger: -22 or -29?
-22
Which is bigger: -47 or 22?
22
Is -228 bigger than -226?
False
Is -1 != 439?
True
Which is greater: 13 or 3?
13
Which is greater: 222 or -2/9?
222
Does -115 = -117?
False
Is 0 >= 13/12?
False
Is 426 < 426?
False
Is 8/12331 >= 1?
False
Is -13/147 less than 0?
True
Which is greater: -10670/17 or -629?
-10670/17
Are -1 and 3/19 non-equal?
True
Is -9/5 <= -2?
False
Which is smaller: 41 or 2?
2
Is 1 equal to -11/86?
False
Are 5 and 28/31 equal?
False
Does 553 = -1/5?
False
Which is bigger: -2/3 or 1218?
1218
Do -1 and 4292 have the same value?
False
Is 318 less than -10?
False
Is 2489 greater than or equal to 2490?
False
Which is greater: 62/107 or 2?
2
Is -3 != -45?
True
Is -3/22964 >= 1?
False
Is 202 greater than 2?
True
Which is smaller: -325 or -324?
-325
Which is bigger: 1/25 or -1/3?
1/25
Which is smaller: 36 or 1840/51?
36
Which is greater: -0.0621 or -1/4?
-0.0621
Are 2 and 1/84 non-equal?
True
Are 134/97 and 0 equal?
False
Is 7130 at most 7132?
True
Is 3/12215 greater than 1?
False
Which is bigger: 7 or 69/10?
7
Which is greater: 15 or 9?
15
Is 2 less than or equal to 17/10?
False
Is 188 bigger than -0.9?
True
Is -43 bigger than -46?
True
Is 677 != 1355/2?
True
Is 475/6 at most as big as 79?
False
Is 1 >= -5/74?
True
Is -52 smaller than 0.474?
True
Which is smaller: 1/264 or 0?
0
Which is greater: 604 or -0.1?
604
Does -3323 = -3322?
False
Is -438 greater than or equal to -438?
True
Is -198/35 >= -5?
False
Which is bigger: -204 or -205?
-204
Is -187 bigger than -1/4?
False
Is 12 > -0.4?
True
Which is smaller: 20 or 22?
20
Which is bigger: -41 or -0.05?
-0.05
Is 1107 <= 1?
False
Which is smaller: -24 or -39?
-39
Do 28 and 24 have the same value?
False
Is 43 at least 43?
True
Which is smaller: 0.1 or -1699?
-1699
Which is smaller: -0.3 or 1076?
-0.3
Is -3/1948 equal to 1?
False
Is 1 not equal to 5/719?
True
Is 11 greater than or equal to 12?
False
Which is smaller: 2/635 or 2/3?
2/635
Is 0.02838 > -1/2?
True
Which is bigger: 1 or -1/43?
1
Is -59 bigger than -57?
False
Which is bigger: -5320 or -5318?
-5318
Is -2 less than or equal to -11?
False
Which is bigger: 7 or -24?
7
Which is greater: -2/20031 or 1?
1
Which is smaller: -1502 or -1498?
-1502
Which is smaller: 0.3 or 3/74?
3/74
Is -352 at least 2/9?
False
Which is bigger: -2 or -234?
-2
Which is smaller: 9347 or 9348?
9347
Which is greater: -213 or -214?
-213
Which is smaller: 1/69997 or 1?
1/69997
Which is greater: 19 or 30?
30
Is 45 >= -3?
True
Which is smaller: -2 or -1730?
-1730
Which is smaller: 0 or 2/753?
0
Is 2 greater than or equal to 1?
True
Do 1/3 and -0.6385 have different values?
True
Is 773 > 772?
True
Is -2748/11 != -251?
True
Which is bigger: -1/3 or -25234?
-1/3
Is -5 greater than 0?
False
Is 373 greater than 372?
True
Ar | {
"pile_set_name": "DM Mathematics"
} |
a) -1 (b) 0 (c) 0.2 (d) 5/7
a
Which is the closest to -2? (a) -0.03 (b) -39 (c) 6/5
a
Which is the nearest to -1? (a) 1/3 (b) -0.104 (c) 5 (d) -1/6
d
What is the nearest to -3.5 in -2, 65, -3/5, 0.3, 3?
-2
What is the nearest to 893 in 13, 0.5, -2?
13
Which is the nearest to 19? (a) 0 (b) 2/5 (c) -0.4 (d) 7/4 (e) -4
d
Which is the closest to 0.3? (a) -21 (b) 0.2 (c) -0.1 (d) -8
b
Which is the closest to 2? (a) -26 (b) 4 (c) 2/161 (d) -1 (e) -0.2
c
Which is the closest to -715? (a) -4 (b) -0.9 (c) 4
a
What is the nearest to 2/7 in -10/3, -0.3, 0, 1, -5?
0
What is the closest to 10 in 1/9, 5, 2, 1?
5
What is the closest to 2 in -19/2, -1/5, 5, 0.2, 38?
0.2
What is the nearest to -1 in 11, 1/9, -0.1, 32, 4/7?
-0.1
What is the nearest to -2/155 in -7/2, 12/11, 0.3, 2/9?
2/9
Which is the closest to -0.287? (a) 22 (b) 2/9 (c) 5
b
Which is the closest to 0.3? (a) 0.3 (b) 2/39 (c) -50 (d) -0.1 (e) 2
a
Which is the nearest to -96? (a) 0 (b) -0.2 (c) -2/91 (d) 1/3
b
What is the nearest to 2 in 0.585, -4/3, -7?
0.585
Which is the closest to -0.1? (a) 0.2 (b) 11428 (c) 1/3
a
What is the closest to 2 in -158, -3, 1, -3/5, 0.3?
1
What is the closest to 0 in 2, 7958, 3/4?
3/4
What is the closest to 0 in -3/11, -61, -5, 2?
-3/11
Which is the closest to -1? (a) 1 (b) -4/9 (c) -1/5 (d) 80.8 (e) 2.2
b
Which is the nearest to -1/4? (a) -1/8 (b) 2 (c) -2/9 (d) 0.166
c
What is the closest to 1/23343 in 2, -3, 4?
2
What is the closest to -3 in 4/3, -0.1, 496, 2?
-0.1
Which is the nearest to -1? (a) -10 (b) 0.1 (c) 0 (d) 119 (e) 4/7
c
Which is the nearest to -4? (a) -5 (b) -0.1 (c) 4/51 (d) -3/79
a
Which is the nearest to 64.5? (a) -0.05 (b) 2/13 (c) 2
c
What is the closest to 2/7 in -2/21, -0.2, 5, 3, -2.08?
-2/21
Which is the nearest to 2? (a) -4 (b) 4/17 (c) 1/35
b
What is the closest to -1 in 0.2, -0.833, -4, 0.4, 1?
-0.833
Which is the closest to 7? (a) -0.05 (b) -256 (c) -1
a
What is the nearest to -0.08 in -1/10, 0.105, -3/7?
-1/10
What is the nearest to 1/3 in -0.05, 12/7, 0.01, 1/8, -1/5?
1/8
What is the closest to -175 in 3/2, 3/5, -1, -0.1?
-1
Which is the nearest to 0? (a) -1/29 (b) -0.3 (c) -20/9 (d) 2
a
Which is the nearest to 0? (a) 4 (b) 6684 (c) -5
a
Which is the nearest to 1.2? (a) 2/5 (b) 2/7 (c) 2/19
a
Which is the closest to 2/5? (a) 43.4 (b) -1/7 (c) 1
b
Which is the nearest to 2? (a) -2/9 (b) 27 (c) -45 (d) 0.027
d
What is the closest to 176 in -9, 6, 2/13?
6
Which is the closest to -5/8? (a) 16 (b) -7 (c) 2 (d) -1.6
d
Which is the nearest to 0.06111? (a) 1 (b) 2/11 (c) -4/5
b
What is the closest to -0.2 in 0.4, 1/725, 4, -2/35, -2/9?
-2/9
Which is the nearest to -17.2? (a) -8 (b) -9 (c) 5
b
Which is the closest to 5? (a) -5 (b) 0.32841 (c) -0.2
b
Which is the nearest to 0.1? (a) -5 (b) 35236/9 (c) 0.3
c
What is the closest to 2/5 in -2/41, -23, -14/233?
-2/41
What is the closest to 0 in 4/21, 12, -7, -0.3?
4/21
What is the closest to 5 in -0.4, 1, 0.0033, -2?
1
Which is the closest to -2/3? (a) 5 (b) -1 (c) 2/3 (d) -29 (e) 0.04195
b
What is the closest to -0.12 in -0.5, -5, -8/11, 0.5?
-0.5
Which is the nearest to 9? (a) -3/7 (b) 0.2 (c) 0.3 (d) 4/3
d
Which is the closest to 2? (a) 3 (b) 5/4 (c) -6/11 (d) -1.6569
b
Which is the closest to -0.05? (a) -0.1 (b) 5/226 (c) -0.2
a
Which is the nearest to 16? (a) -2 (b) -3.27 (c) 1/2 (d) -0.5
c
What is the nearest to 0.06 in 2, 1, 281?
1
Which is the nearest to -2/5? (a) -2 (b) -447 (c) -0.087 (d) -1/6
d
Which is the closest to 29/24? (a) -5 (b) -5/3 (c) -2
b
What is the closest to 2 in -0.07, -3, 2, -13?
2
What is the closest to 1/2 in -75, 2, 0.022?
0.022
Which is the nearest to 12142/3? (a) 0.4 (b) -3 (c) 0.05
a
Which is the nearest to -0.1? (a) 5 (b) 0 (c) -998 (d) 1 (e) -3/4
b
Which is the closest to -161758? (a) 0.2 (b) -5 (c) 1/3 (d) -2
b
Which is the closest to -0.04? (a) 86 (b) -14 (c) -0.5
c
Which is the closest to -0.1? (a) 0.57 (b) 7 (c) -4 (d) 3
a
Which is the closest to 14/27? (a) 1 (b) -4 (c) -15
a
Which is the nearest to -0.2? (a) -144 (b) 0.1 (c) -143/15 (d) 0.4
b
Which is the closest to 2/5? (a) -0.028428 (b) -1.6 (c) -3
a
Which is the closest to 1/5? (a) -2 (b) 3 (c) -0.1 (d) -0.3
c
What is the nearest to -0.1 in -3/4, -2/7, 0.3, -4, -20.3?
-2/7
What is the closest to 0 in 1, 0.11, -1/17, -9, 0?
0
What is the closest to -1 in 425095, -5, -4/3?
-4/3
Which is the nearest to -4? (a) 3 (b) -7/3 (c) 1
b
Which is the closest to 0? (a) -0.9 (b) -2/3 (c) 12.3
b
What is the nearest to -5 in -2, 3/43, 0.1, -0.03, -2/21?
-2
What is the closest to 1 in -16, 4/7, 2/73, 3?
4/7
Which is the nearest to -15? (a) -0.3 (b) 5 (c) 6 (d) 2 (e) -3
e
Which is the nearest to 368? (a) -0.1 (b) -7 (c) -4 (d) -1/2
a
Which is the nearest to -1/13? (a) 1 (b) 3 (c) -1 (d) 26 (e) -5/4
c
What is the nearest to -2 in -4, 15, 1, 35?
-4
What is the closest to -338 in -0.3, -23, 2?
-23
What is the closest to -0.1 in -3.24, 1/4, -1, 2/9?
2/9
What is the nearest to 167 in -1, -0.1, 2, -19, 1?
2
Which is the nearest to 2/7? (a) 1/4 (b) -5 (c) 1367
a
What is the closest to 2/7 in -1/23, -1/7, -33?
-1/23
What is the closest to 0.1 in 31, -0.059, -2/35?
-2/35
What is the nearest to 0.1 in -0.06, -2/3, -0.00453, 0?
0
Which is the closest to -1? (a) -4 (b) -3 (c) -33.4
b
Which is the nearest to 2/15293? (a) -2/295 (b) -4/3 (c) 4/7 (d) -2
a
Which is the closest to 24? (a) 36 (b) 5 (c) 3 (d) -2/11
a
Which is the nearest to -151? (a) 2/3 (b) -4 (c) 1/4 (d) 4 (e) -5
e
Which is the closest to 0? (a) -1 (b) -3 (c) 24590
a
Which is the nearest to -1/3? (a) 1394 (b) -3 (c) 11
b
Which is the nearest to -1/8? (a) 0 (b) -1 (c) -3 (d) -19
a
Which is the closest to 0.2? (a) 3 (b) -3/5 (c) -0.188 (d) 1/3
d
What is the nearest to 3.4 in 3, -0.5, 2/3, 0.2?
3
What is the nearest to 0 in 5, 10, 33/2, -2/13?
-2/13
Which is the nearest to -1/4? (a) 0.04 (b) -1/2 (c) -53
b
What is the nearest to 0 in -1, -9, -3, 2/17?
2/17
What is the closest to 0.1 in 2/41, 0.3, 21/29, -0.4?
2/41
What is the nearest to -3/8 in 18, -1/33, 0.2, 2/3, -0.1?
-0.1
What is the closest to 1566 in 3/5, -1, 4, -4?
4
What is the closest to -1 in 2/15, -1070, 1.1?
2/15
Which is the closest to 12.11? (a) 13 (b) -4 (c) 1
a
What is the closest to 3 in -0.4, -0.5, 60/163, -2/13?
60/163
Which is the nearest to 1? (a) -2/7 (b) -12514 (c) 1
c
Which is the closest to 39? (a) 0.4 (b) 0.5 (c) -1 (d) 156 (e) -5
b
What is the nearest to 134 in -1, -5, 7, -0.3, -1/3?
7
What is the nearest to -2001 in 2, 2/3, 14?
2/3
What is the nearest to -2 in -2/5, 0, 492, -1, -1/3?
-1
Which is the nearest to 1/3? (a) 0.12 (b) 3 (c) -1 (d) -0.5 (e) 0.0058
a
What is the closest to 0.63 in -2, 118, -2/25?
-2/25
What is the nearest to -1/2 in 0.28, -0.5, -0.9?
-0.5
What is the nearest to 1/153 in -4, -0.2, 482?
-0.2
Which is the nearest to -0.3? (a) 0.3 (b) 83 (c) -29
a
Which is the nearest to 0.3? (a) -3 (b) 0.04 (c) 11 (d) -64
b
What is the closest to 109 in -1/10, -5, -4.1?
-1/10
What is the nearest to -5 in -1/3, -353, -8, 0.3, -4/3?
-8
Which is the closest to -3/2? (a) -0.4 (b) 3 (c) -6.8 (d) -3
a
Which is the nearest to -2? (a) 0.07 (b) 0.2 (c) 0.4 (d) 0.39
a
What is the closest to 58/3 in -61, -17/2, -2/7?
-2/7
What is the closest to 2/41 in -4, -7/2, 1/2, -0.4, -6/5?
-0.4
Which is the nearest to -2? (a) -140/3 (b) -5 (c) 0 (d) 1/2 (e) -2
e
Which is the nearest to 6? (a) 0.75 (b) 18 (c) 0.03 (d) 0 (e) -0.5
a
Which is the closest to 0.2? (a) -2.12 (b) 2 (c) -1/4
c
What is the nearest to -13 in 37, 0.5, -2, 3, 5?
-2
What is the closest to 1116 in 0.3, 4, -0.0246?
4
What is the closest to -1/3 in 1016/7, 574, -4?
-4
What is the closest to -9.8 in 5, 2/5, -656, 0.3?
0.3
Which is the nearest to -1? (a) 109328 (b) -0.3 (c) -5 (d) -0.4
d
What is the closest to 4/31 in 1/6, -3/7, 1.1, -2?
1/6
Which is the closest to -1? (a) -14 (b) -1 (c) -4 (d) 10 (e) -6
b
What is the closest to 119 in -6, -43, 3?
3
Which is the nearest to 3/68? (a) -4 (b) 8 (c) -0.2 (d) 2/15
d
What is the nearest to 3 in -0.3, 8, 50?
-0.3
What is the closest to | {
"pile_set_name": "DM Mathematics"
} |
four letters picked without replacement from {o: 3, b: 1, x: 5, j: 1}?
1/336
Four letters picked without replacement from cqwggqgqgwggggqqgwgg. What is prob of sequence qqgw?
11/1938
Two letters picked without replacement from yyyyyywy. What is prob of sequence yw?
1/8
What is prob of sequence ko when two letters picked without replacement from koookokkkdokkdokdo?
28/153
Calculate prob of sequence ve when two letters picked without replacement from {e: 4, v: 1, b: 1, i: 2, h: 2}.
2/45
Calculate prob of sequence lzla when four letters picked without replacement from lazzlllzaallllaalzl.
25/1292
Two letters picked without replacement from ibbcxxsll. What is prob of sequence lc?
1/36
What is prob of sequence bkk when three letters picked without replacement from {b: 6, k: 11, e: 2}?
110/969
What is prob of sequence xgsv when four letters picked without replacement from xscgv?
1/120
Two letters picked without replacement from {j: 1, x: 2, s: 4, i: 1}. Give prob of sequence js.
1/14
Three letters picked without replacement from ttdtddtddttdt. What is prob of sequence dtt?
21/143
Two letters picked without replacement from {f: 1, s: 2, d: 1}. Give prob of sequence fs.
1/6
Calculate prob of sequence pz when two letters picked without replacement from {p: 5, z: 2, o: 2}.
5/36
Four letters picked without replacement from {j: 7, r: 1}. What is prob of sequence jrjr?
0
What is prob of sequence qqdd when four letters picked without replacement from {q: 4, n: 4, d: 3}?
1/110
What is prob of sequence ahbh when four letters picked without replacement from {b: 1, a: 1, h: 7}?
1/72
Four letters picked without replacement from slcssscsssssscsslsss. Give prob of sequence lslc.
1/1292
Two letters picked without replacement from tsststsssgtnsnnsg. What is prob of sequence ns?
3/34
Two letters picked without replacement from {q: 1, j: 1, f: 1}. Give prob of sequence qq.
0
Calculate prob of sequence ox when two letters picked without replacement from oxxwxxxxxywxx.
3/52
Four letters picked without replacement from wuffcwcwwwfwfwwf. What is prob of sequence cufc?
1/4368
What is prob of sequence wip when three letters picked without replacement from {i: 4, w: 2, p: 2}?
1/21
Two letters picked without replacement from {c: 3, g: 5, o: 1, v: 1, f: 2}. What is prob of sequence fg?
5/66
Three letters picked without replacement from wwwxwwwxxx. Give prob of sequence xxx.
1/30
What is prob of sequence vvss when four letters picked without replacement from uhurhugsvuvhguhgssug?
1/9690
Calculate prob of sequence xx when two letters picked without replacement from {f: 1, z: 3, j: 3, b: 1, l: 2, x: 2}.
1/66
What is prob of sequence qg when two letters picked without replacement from ukuuzguggguuuqkgug?
1/51
Calculate prob of sequence ep when two letters picked without replacement from {e: 4, p: 4, m: 8}.
1/15
Calculate prob of sequence poeo when four letters picked without replacement from pooeo.
1/20
What is prob of sequence rmrm when four letters picked without replacement from rmrmmmm?
1/21
What is prob of sequence jnr when three letters picked without replacement from {j: 4, n: 4, r: 12}?
8/285
Four letters picked without replacement from {i: 6, u: 1, s: 3, c: 9}. What is prob of sequence usii?
5/5168
Calculate prob of sequence bere when four letters picked without replacement from {a: 4, t: 3, r: 5, e: 6, l: 1, b: 1}.
5/3876
Two letters picked without replacement from {c: 1, z: 1, w: 1, g: 2, l: 2}. What is prob of sequence gg?
1/21
Calculate prob of sequence szz when three letters picked without replacement from sszwzfezz.
1/21
Four letters picked without replacement from {h: 2, r: 9, i: 7}. Give prob of sequence hihi.
7/6120
Two letters picked without replacement from {r: 9, m: 3}. Give prob of sequence rr.
6/11
Calculate prob of sequence hhh when three letters picked without replacement from hhh.
1
Calculate prob of sequence gr when two letters picked without replacement from riigvmgggvviiiggdmm.
1/57
Three letters picked without replacement from hhhhrsrssrss. Give prob of sequence hhr.
3/110
What is prob of sequence oood when four letters picked without replacement from dddddooooddoo?
7/143
Calculate prob of sequence lll when three letters picked without replacement from {l: 4, m: 2, i: 2, v: 3, n: 6}.
1/170
Four letters picked without replacement from cvncvncvc. Give prob of sequence vcnn.
1/126
What is prob of sequence ydx when three letters picked without replacement from {u: 1, y: 1, d: 2, x: 2}?
1/30
What is prob of sequence bo when two letters picked without replacement from ybyynrrrbyynrnonnr?
1/153
Three letters picked without replacement from nnnuntttnnntntt. Give prob of sequence ntn.
8/65
What is prob of sequence ak when two letters picked without replacement from {a: 6, k: 1, y: 3, u: 6, r: 2}?
1/51
What is prob of sequence xr when two letters picked without replacement from {q: 1, r: 4, x: 9, w: 2}?
3/20
Four letters picked without replacement from nnuukgnnunkan. Give prob of sequence nnun.
3/143
Calculate prob of sequence gk when two letters picked without replacement from {c: 3, g: 8, k: 3, t: 2}.
1/10
Two letters picked without replacement from ooofiito. What is prob of sequence ii?
1/28
Calculate prob of sequence hnv when three letters picked without replacement from {n: 4, h: 1, v: 6}.
4/165
Calculate prob of sequence yy when two letters picked without replacement from yyyyhhyh.
5/14
What is prob of sequence uuhh when four letters picked without replacement from {u: 7, h: 6}?
21/286
Calculate prob of sequence ri when two letters picked without replacement from {j: 4, r: 4, i: 2, a: 1, c: 6}.
1/34
Three letters picked without replacement from auauurauuarruuaauua. Give prob of sequence uru.
12/323
Two letters picked without replacement from {d: 7, i: 4, n: 1, q: 2, h: 1}. What is prob of sequence nq?
1/105
What is prob of sequence dyd when three letters picked without replacement from ddydydyddddddyddyyd?
52/323
Calculate prob of sequence bb when two letters picked without replacement from {a: 3, b: 7, w: 5, v: 1}.
7/40
What is prob of sequence grgr when four letters picked without replacement from yyrrygyygyyyy?
1/4290
What is prob of sequence bh when two letters picked without replacement from hrtrpbzz?
1/56
What is prob of sequence bslb when four letters picked without replacement from lllllllbbsbqsqlllls?
11/5168
Three letters picked without replacement from {g: 3, r: 1, p: 1, m: 2}. Give prob of sequence grp.
1/70
Four letters picked without replacement from uuhhuhuhvuuhuuvhu. What is prob of sequence hhuv?
9/952
Calculate prob of sequence nzzn when four letters picked without replacement from {z: 11, n: 9}.
22/323
Two letters picked without replacement from hmhbhnhbm. What is prob of sequence mm?
1/36
Three letters picked without replacement from {f: 5, d: 1, b: 1, x: 1, u: 2, q: 3}. What is prob of sequence uux?
1/858
Two letters picked without replacement from vvzzyvyvv. What is prob of sequence vz?
5/36
Two letters picked without replacement from ssdosdddsssddd. What is prob of sequence so?
3/91
Four letters picked without replacement from {s: 5, c: 1, w: 3, n: 2, j: 1, z: 1}. Give prob of sequence nsnw.
1/572
Two letters picked without replacement from {b: 1, f: 1, o: 1, a: 1, t: 1}. Give prob of sequence bf.
1/20
What is prob of sequence rrrr when four letters picked without replacement from rrrr?
1
Four letters picked without replacement from jjjmjjgjjg. What is prob of sequence jgjg?
1/60
Calculate prob of sequence gac when three letters picked without replacement from eeeaekeeegacge.
1/546
Two letters picked without replacement from {i: 7, l: 9}. What is prob of sequence ll?
3/10
Four letters picked without replacement from {z: 4, r: 2, b: 2, q: 2, p: 1, v: 3}. What is prob of sequence rpvq?
1/2002
Two letters picked without replacement from bfcbbccwclgblcc. What is prob of sequence cc?
1/7
Three letters picked without replacement from yiyyifhyfifiriryhi. Give prob of sequence rfh.
1/408
Calculate prob of sequence umu when three letters picked without replacement from {r: 12, m: 1, q: 1, u: 2, t: 3}.
1/2907
Calculate prob of sequence znz when three letters picked without replacement from zzzzzzzzzzzzzzn.
1/15
Three letters picked with | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to 8 in u, -0.3, -5?
u
Let g = 28/57 - 3/19. Let w = 965 + -769.5. Let o = -196 + w. What is the nearest to 8/5 in g, o, -5?
g
Let c = 33 - 37. Let p be (-33)/(-66) - 26/c. Suppose -3*m - h - p = 0, -4*m - 9*h = -7*h + 12. What is the nearest to m in 1/3, 0.5, -17?
1/3
Let c = -0.8 + 5.8. Let t be (-4)/10 - (-3)/(-5). Let z = 0.02206 - 5.02206. What is the nearest to z in c, 3/5, t?
t
Suppose -99*n - 137 - 125 = 134. What is the closest to -25 in 0.5, n, -1?
n
Suppose 0 = 22*w + 8*w - 60. Which is the closest to 0.05? (a) 5 (b) -0.1 (c) w
b
Let j = -2716.1 + 2716. Which is the closest to j? (a) 3/11 (b) 13 (c) -0.1
c
Let v = -270 + 270.1146. Let h = v - 0.0146. Which is the nearest to 2/117? (a) 0.3 (b) -0.1 (c) h
c
Let a = 9686 + -9698. Let w be (-3)/(-9) - 10/3. What is the nearest to -1/5 in 2/5, a, w?
2/5
Let q be 413851/2452471 + (-6)/34. What is the closest to -2 in q, 5, -4, 2?
q
Let v = -4.89389 + -0.10611. Which is the closest to v? (a) 1 (b) -2/7 (c) -1/5 (d) -0.6
d
Let s = 3.37 - 3.38. What is the closest to 1 in -1/3, s, 3, 0?
0
Let g = 2.9704 + -2.9304. What is the closest to g in 3/5, 0.01, 4, 10?
0.01
Let o = -16 + 20.5. Let x = o + -4. Let l = 0.05367 - -0.04633. What is the nearest to l in x, -4, -0.8?
x
Suppose -p = -0*p. Suppose f = 3*f + 3*v + 20, p = 5*f + 2*v + 28. Let x = 2271 + -11354/5. Which is the closest to x? (a) 1 (b) -0.2 (c) f
b
Let n be (10/(-42))/((-2145)/7722). Let o = -2/25 + -8/25. What is the closest to 0.1 in o, -1/4, n?
-1/4
Let o = -213 + 252. Suppose -24 + o = -3*y. Which is the closest to -0.2? (a) -1/4 (b) y (c) -2
a
Suppose 33*m - 32*m = -t + 3*t, 2*m = 4. Which is the nearest to t? (a) 0.2 (b) -3/2 (c) -5/137 (d) -2/19
a
Let v = 2191 - 2188. Suppose 5*n = -14 + 4. Which is the closest to -6? (a) 0.1 (b) v (c) n
c
Let k = 44 - 43.9. Let m = -7.42 - 0.58. Let o = m - -2. What is the closest to k in -0.3, 0.2, o?
0.2
Let k = -45915 - -45546.07. Let j = -369 - k. Which is the nearest to -3/7? (a) 2/15 (b) 5 (c) j
c
Let l = 0.208 - 0.408. Which is the closest to l? (a) -3.8 (b) 4 (c) 3
c
Let n = -6.118 + 6.82. Let x = 0.298 + n. Which is the nearest to 10? (a) x (b) 3 (c) -4
b
Let z = 4 - 9. Let w be 4/4 + (-1596)/(-10). Let d = w - 160. What is the closest to -0.3 in -0.1, z, d?
-0.1
Let j be 2/(-7)*(-33)/264*-56. What is the closest to 2/13 in -0.5, 1, 2, j?
-0.5
Let m be (-1)/(-3 - -1)*2. Let l = 95.93 - 96. Let q = -3.07 - l. What is the closest to -4 in m, -2, q?
q
Let i be ((-8)/12)/((-2)/(-3)). Let r = -3.3 + 3.1. Let q = r - 0.1. Which is the nearest to 2? (a) i (b) q (c) -1/10
c
Suppose 7*m = 23 - 9. Let w = 242.03 - 241. Let g = w + -0.63. What is the closest to 4 in 2/9, m, g?
m
Let r be ((-2)/36)/(-20*54/1620). Let s = -7 - -7.3. Let p = -68 + 750/11. Which is the nearest to r? (a) -4/7 (b) p (c) s
b
Suppose 0*f + 33 = -11*f. Let o = 69.088 + -0.088. Let j = o + -69.1. Which is the nearest to -2/3? (a) f (b) j (c) 2/7
b
Let z = -1/26 - 113/442. Let l = z + 76/85. Which is the closest to 1/4? (a) -0.2 (b) l (c) 3/2
b
Let q = -0.044 - 0.256. Let f = -0.382 + 0.782. Which is the nearest to 2/15? (a) -4 (b) f (c) q
b
Let o be (-65)/52*(5 - 1) - (-16)/2. Which is the nearest to -6? (a) 0 (b) 0.18 (c) o
a
Suppose -2*n = -4*t - 4*n + 16, -20 = -5*t + n. Let z be 33/66*(21 - 2/(-2)). Suppose -z*q + 7*q = -6*q. Which is the closest to q? (a) -1 (b) t (c) 0
c
Suppose 0 = -2*w - 2*w - 4. Let y = -0.1327 + 0.0627. What is the nearest to -2 in -2/9, y, w?
w
Let x = 5.6 + -6. Let k = 94.79 - 94.69. What is the closest to k in -1, 2/73, x?
2/73
Let z = -8.564 + 8.164. Which is the nearest to 2/15? (a) z (b) 0.1 (c) 0.17
b
Let w = 563233543/777 + -724882. Let o = w - 1/111. Let l = -128/735 - -2/49. Which is the nearest to 1? (a) o (b) l (c) -2
a
Let f = -1030 - -1028. Let r = 40 - 40.4. Which is the nearest to f? (a) 2/7 (b) 7 (c) 1 (d) r
d
Suppose 2*g + 5*f - 17 = 0, -3*f + 83 = 3*g + 71. What is the closest to -6 in g, -0.4, -5/4, -6/11?
-5/4
Suppose -5*y = -4*d + 5, -y + 23 = -2*d + 6*d. Let s(u) = 6*u**3 + 2*u**2 + 2*u + 1. Let w be s(-1). Let h = 30.6 + -29.6. What is the nearest to y in h, w, -2?
h
Let h be ((-6)/(-4))/((-1018)/(-2036)). Let w(q) = q**3 + 7*q**2 + 7*q + 8. Let l be w(-6). Which is the nearest to -1/3? (a) -7 (b) l (c) h
b
Let q = 247 - 249.05. Let l = 1.85 + q. What is the closest to l in -17/2, 1, -0.3?
-0.3
Let g = 27 - 25. Let s be (-145)/(-345) + g/(-6). Let p = -122 - -117. What is the closest to -2 in s, p, 3/5?
s
Let k = -0.44 - -0.74. What is the closest to -1 in -2/9, k, 1, -6?
-2/9
Let x = -16833 - -16832.8. What is the closest to 0.2 in 0.08, -7, 0.4, x?
0.08
Let x = 23429.6 - 23430. What is the nearest to -0.1 in x, 0, 3.3, -2?
0
Let u = 1.519 + -0.019. Let l = u + -1.2. Let d = -24 - -19. Which is the closest to 1/3? (a) -2/15 (b) l (c) d
b
Let h = -19.77 - -19.97. What is the closest to -1/6 in 5, -0.3, h, 5/12?
-0.3
Let z = 189.62 - 268.62. Which is the closest to 1? (a) z (b) 4 (c) -0.3 (d) 1
d
Let j(p) = p**3 + 16*p**2 + 18*p + 47. Let x be j(-15). What is the nearest to -18 in -2, x, -3?
-3
Let t = -16.27 + 17.27. Suppose -3*n + 12 = -3*z, 0*n + 19 = -4*n - 3*z. Let b = 5 + -10. What is the nearest to 1/2 in n, t, b?
t
Let w = -32 + 159/5. Suppose 5*k = 5*l + 15, -k + 8 = 4*l - 0*k. Let h = -17231 + 17230. Which is the nearest to l? (a) -0.1 (b) h (c) w
a
Let w be (8 - 9) + 117/119. Let v = w + -232/357. Let n = 619 - 620. Which is the closest to -1? (a) v (b) n (c) 10/9
b
Let k = 10.9 + -11. Suppose -2 = 5*p - 3*r, 4*p + 5*r - 16 - 12 = 0. Suppose -1 - 7 = -p*x, -4*c = 2*x - 36. What is the nearest to k in c, 4, -5?
4
Let s = 44.005 + -0.405. Let d = -48.4 - s. Which is the closest to -1? (a) 4 (b) d (c) -1
c
Let g be (10140/(-844))/(-3) + 4/(15/(-15)). What is the nearest to -4 in -2/13, g, 3/7?
-2/13
Let j(q) = -22*q**2 + 14*q + 7. Let s be j(-3). Let t = 234 + s. Which is the nearest to -6? (a) -4 (b) 1/5 (c) t
a
Let j = -2 + 2.4. Let u = -0.1 - j. Let w = -610 - -11592/19. Which is the nearest to 2? (a) w (b) u (c) -2
a
Let p = -0.2 + -1.8. Let v be 11/10 - 6/560*28. What is the closest to 0 in v, 1, p?
v
Let f be 56/(-9) + (2052/(-798))/((-3)/7). Which is the closest to 1? (a) -7 (b) f (c) 1 (d) -0.3
c
Let j = -140.7 - -149. Let n = j - 4.3. Let i = 24 + -19. Which is the closest to -2? (a) n (b) i (c) 3
c
Let z = -0.14 + 1.04. Let f be (4/(-3))/((-16)/(-9)). Which is the nearest to z? (a) f (b) 3/2 (c) -4/7
b
Let q(u) = -3*u**2 - 2*u - 3. Let g be q(-1). Let j be 4 - 39/(-104)*-8. Which is the nearest to -1? (a) -2/41 (b) j (c) g
a
Let y be 28/(-8) - (-6)/4. Suppose -14 + 2 = -4*p. Which is the nearest to y? (a) -2 (b) p (c) -0.3
a
Suppose -290 + 434 = 9*f. Let o be f + -7 - (-56)/(-6). What is the closest to o in 2/15, -0.14, 3, 5?
-0.14
Let m = -11.128 - -6.128. What is the closest to -3/5 in -75, m, 4?
m
Let p be 32/(-6) + ((-92)/12 - -7). Let y be ((-4)/10)/(-5 - (-84)/20). Which is the closest to 0.1? (a) y (b) 5 (c) 3 (d) p
a
Let i = 228 - 226. Let v = 0 - -3. Let m be v/9 - (-1 - -1). What is the nearest to 0 in -0.1, m, i?
-0.1
Let n(q) = -3*q**3 - 43*q**2 - 14*q - 1. Let v be n(-14). Let w = 122/99 + -16/11. Suppose -5*j = -2*j - 15. Which is the nearest to v? (a) j (b) w (c) -4
b
Let z be 31/(-1)*(-2 - -1). Let y = -0.36917 + -0.03083. Which is the nearest to 0? (a) -3 (b) y (c) z
b
Let v = -26.798 - -25.6. Let m = v - -0.198. Let g = 11.1 + -11. Which is the nearest to g? (a) 3 (b) 0.5 (c) m
b
Let v = -282 - -5355/19. Let m = 25/38 + v. Let y be 4/16 - (-45)/(-84). Which is the closest to y? (a) m (b) 4 (c) -0.3
c
Let v(h) = -3*h + 29. Let f be v(8). Suppose -4*j + 21 = -4*i + 9*i, -f*i + 17 = 3*j. What is the nearest to 2 in -3, 1/2, -12, i?
i
Let p = 0.2 + -1.2. Suppose -97 = 55*k + 13. What is the closest to -0.2 in -0.2, p, k?
-0.2
Let z = -72.617 - 0.383. Let l = z - -72.9. What is the nearest to 2 in -3, l, 4?
4
Suppose 3*q - 121 + 133 = 4*p, -5*p = -3*q - 12. Which is the closest to p? (a) 3/743 (b) -4 (c) 0
c
Let t = 0.2 - 0.3. Let s = 334.18 + -4.18. Let k = -329.83 + s. Which is the closest to t | {
"pile_set_name": "DM Mathematics"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.