text stringlengths 270 8.19k | meta dict |
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- 5*w - 2*w**2 + (-2 + 2 - w)*(-3*w + w + 3*w) - 4*w**2 + 5*w**2 + 0*w**2 - 3*w**2 + 2*w**2 + 0*w**2 + (0 + 0 + 2*w)*(w - 4*w + w).
-7*w**2
Expand (-7*h + 2*h + 2*h)*(-4 + 0 - 1).
15*h
Expand ((1 + f - 1)*(-2*f + 2*f - f) - 3*f**2 + 2*f**2 - f**2)*(f**2 - 1 + 1).
-3*f**4
Expand (5 - 5*a - 5)*(-1 - 2 - 1).
20*a
Expand 5*w**5 + w**5 - 5*w**5 + (-1 + 0 + 0)*(6 - 22 - 22)*(2*w**5 + w**5 - w**5).
77*w**5
Expand -2*g**3 + 2*g**3 - g**3 + (3*g**2 + 3*g**2 - 5*g**2)*(-5*g + 2*g + g) + (6 - 6 - 4*g**2)*(2*g + 0*g - g).
-7*g**3
Expand -q**2 - 3*q**3 + q**3 + 2*q**2 + (-4 + 2*q + 4)*(-2*q**2 - 2*q**2 + 5*q**2) + (-q**2 + q**2 + q**2)*(-2*q - q + 4*q) - 3*q**3 + 2*q**3 + 9*q**3.
9*q**3 + q**2
Expand 0*h**4 + 3*h**4 - 6*h**4 + (0*h - 2*h + 3*h)*(6*h**3 + 0*h**3 - 5*h**3) + 0*h**3 - 2*h**4 + 0*h**3.
-4*h**4
Expand (p**2 + p**4 - p**2 + (-6*p + 6*p - 2*p**2)*(-p**2 - p**2 + 3*p**2))*(2*p - 3 + 3).
-2*p**5
Expand (-2 - 3*t + 2)*(7*t**2 + 6 - 6 - 4*t**2 + 3*t**2 - t**2 + (4 + 0 - 2)*(-2 + 2 + 2*t**2) + 1 - 1 + t**2 + 2*t**2 - 4*t**2 + 0*t**2)*(-2 - 1 + 4).
-24*t**3
Expand f**4 - 2*f**4 - 3*f**4 - 2*f**4 - 3*f**4 + 4*f**4 + (-6*f + 3*f + 2*f)*(-3*f**3 + 2*f**3 - f**3) + 3*f**4 + 0*f**4 - 2*f**4.
-2*f**4
Expand ((-4*p + 4*p - p)*(3*p + 0*p + 0*p) - 3*p + p + 3*p + 5*p**2)*(0*p - 2*p + p).
-2*p**3 - p**2
Expand (-5*a**2 + 3*a**2 + 0*a**2)*(3 - 3 + 2*a) - a**3 - 2*a**2 + 2*a**2 + 0*a**3 + 3*a**3 - a**3.
-3*a**3
Expand (14 - 13 + 2*l + l**2 + l**2)*(-4 + 2*l + 4).
4*l**3 + 4*l**2 + 2*l
Expand (-5 + 4 + 4 + (-5 + 5 + 3)*(0 - 1 + 3))*(2 - 2 - 1)*(-5*c + 3*c + c).
9*c
Expand -6*l**5 + 2*l**5 + 3*l**5 + (-l - 2*l + 2*l)*(2*l**4 - 5*l**4 + 4*l**4) + 3*l**5 + 3*l**5 - l**5.
3*l**5
Expand (-3 + 7 + 0)*(i - i - i**4).
-4*i**4
Expand -2*t**3 - t + t + (2*t**2 - 4*t**2 - t**2)*(0*t + 5*t - 3*t) + 0*t + 0*t - 2*t**3 + (2*t**2 - 5*t**2 + t**2)*(-t + t - 2*t) - 3*t**3 - 3*t**3 + 7*t**3.
-5*t**3
Expand 0*p**5 + 2*p**5 - 4*p**5 + (p**5 + 0*p**5 - 3*p**5)*(4 + 1 - 3) - 2*p**5 + p**5 + 2*p**5 + (0*p**2 + 2*p**4 + 0*p**2)*(-34 + 7*p - p + 38).
7*p**5 + 8*p**4
Expand (2*n**3 + 0*n**3 - 3*n**3)*(3 + 2 - 18)*(3 + 0 - 5).
-26*n**3
Expand (-3*s + 2*s + 1 - 4)*(0 + 2 - 3).
s + 3
Expand (1 + 2 - 1)*(-2*s - 4*s + s + 2 - 2 - 3*s + (2 + 2 - 3)*(-3*s + 0*s + 4*s)).
-14*s
Expand (3*p**3 + 5*p - 5*p)*(2 - 3 - 1).
-6*p**3
Expand (5*g - 2*g + 3*g)*(-g + 3*g + 0*g)*(g + 0 + 0).
12*g**3
Expand (-w**3 + 5*w**3 - 5*w**3)*(-3*w + 3*w - w - 3*w**2).
3*w**5 + w**4
Expand (-2*f + 5*f - f)*((-f**4 + 4*f**4 - f**4)*(-4 + 2 + 3) + 3*f**4 - 3*f**4 - f**4 - 2*f**4 - 2*f**4 + 2*f**4).
-2*f**5
Expand 0*c + 0*c - c - 4*c - 3*c + 5*c + (0 - 3 + 1)*(c + 1 - 1).
-5*c
Expand -65 + 9*g + 65 + (0 - 1 - 1)*(-4*g + g + 6*g).
3*g
Expand -2*v**5 + 0*v**3 + 0*v**3 + (-3*v**5 + v**5 + 0*v**5)*(-4 - 2 + 4) + 3 - 3 - v**5 + 11*v**5 - 7*v**5 + 6*v**5 + 0*v**5 + v**5 - 2*v**5.
10*v**5
Expand (-3 - c**2 + 3)*(-c**3 + c**3 - c**3) + c**5 + 4*c**5 + 3*c**5.
9*c**5
Expand (2*g**2 - 1 + 1)*(-2*g + g + 0*g)*(3 - 3 + 3*g**2) - g**5 + g**5 - 3*g**5.
-9*g**5
Expand (4*c**5 + c**5 - 3*c**5)*(19 + 10 + 19).
96*c**5
Expand (-h - 2*h + 7*h)*(h + 0 + 0).
4*h**2
Expand (-3 + 1 + 1)*(-3 + 2*s + 3)*(2 - s - 2 + 2 - 2 + 2*s + (1 + 1 + 0)*(-s - 4*s + 3*s) + s - 3 + 3 - 2*s - 2*s + 7*s) + 5*s**2 + 3*s**2 - 4*s**2.
2*s**2
Expand (-1 + 8 - 2)*(0*b - 4*b + 10*b).
30*b
Expand 0*i + 0*i + i - 4 + 4 + 7*i + 3*i - i + 0*i + (2 + 1 - 5)*(-i + 0 + 0) + i + 2*i - 5*i + (3 - 3 + i)*(0 + 3 - 2).
11*i
Expand (3 + 2 - 6)*((3*r - 4*r - r)*(5 - 2 - 5) + 3*r + r - 2*r + 5*r + 0*r - 4*r + 2*r + 10 - 10) + 0*r + 2*r - 3*r.
-10*r
Expand -2*y + y**2 + 2*y - 5*y**2 + 4*y**2 - y**2 + 3*y**2 + 0 + 0 + (y + 0*y + 0*y)*(3*y - 3*y - 4*y).
-2*y**2
Expand (0*r + 0*r - r**2)*(-2*r + r + 0*r) + (2*r**2 + r - r)*(2*r - 3*r + 0*r).
-r**3
Expand (3 - 1 - 3)*(81*n**2 - 4 + 1 - 83*n**2).
2*n**2 + 3
Expand (3 - 1 - 4)*(4*s + 2*s - 5*s) + 0*s + 4*s + s.
3*s
Expand -5*p**5 + 2*p**5 + 4*p**5 + (1 - 2 + 2)*(2*p**4 + 2*p**3 - 2*p**3)*(-p + 5*p - 2*p).
5*p**5
Expand (m + 2*m**2 - m)*(13*m**2 + 20*m**2 - 35*m**2) + (0 + 4 - 5)*(4*m**4 + m**4 - 4*m**4).
-5*m**4
Expand -t**2 - 3*t + 3*t + 2*t**2 - t**2 + 0*t**2 + t**2 + t - t + (t + 3*t - 3*t)*(5*t - 2*t - t) - 18 - 7*t**2 + 18.
-4*t**2
Expand 2*z**2 - 6*z**2 - 4*z**2 + (3*z**2 - z**2 - 3*z**2)*(6 + 9 - 3).
-20*z**2
Expand -5*h + 0*h + h + 2*h + 0*h - 4*h - 4*h + 3*h + 0*h + (-3 + 2 - 1)*(3*h - h - 3*h) - 2*h + 0*h - 2*h.
-9*h
Expand 0*z - 4*z + 3*z + (10 - 9 + 1)*(5*z - z - 2*z).
3*z
Expand (-2 + 9 + 2)*(-2*d + 0*d + d).
-9*d
Expand (3*i + 0 + 0)*(3 + 1 - 2 + (2 - 2 + 2)*(2 - 1 + 1)).
18*i
Expand (3*l + 0*l - l)*(-3 - l + 3)*(-22 + 22 + 14*l**2).
-28*l**4
Expand (5 + 10 - 19)*(5*p**2 - 2*p**2 - 4*p**2).
4*p**2
Expand 6*l - 4*l + l + (-2*l + 2 - 2)*(2 + 0 + 0).
-l
Expand 3*x**2 - 3*x**2 + x**3 + (-2*x**2 - 5 + 5)*(2*x - 3*x + 3*x) - x**3 + 2*x**3 + x**3.
-x**3
Expand (5*w - 9*w + 3 + 3*w)*(2 - 3 + 2).
-w + 3
Expand (3 + 0 + 0)*(-213*v - 10*v**2 + 213*v).
-30*v**2
Expand (-4 + 1 + 0)*(1 - 3 + 4)*(-2*g + 5*g - 2*g).
-6*g
Expand n**5 + 0*n**2 + 0*n**2 + (4*n**4 + 3*n**4 - 3*n**4)*(1 - 1 - 2)*(2*n - 4 + 4).
-15*n**5
Expand (5*p + 2*p + p)*(-p**2 - 3*p**2 - 5*p**2).
-72*p**3
Expand (3*w**2 - 3*w**2 - w**3)*(-8 + 16 + 18).
-26*w**3
Expand (0 + 6 - 5)*(-t + 1 - 1)*(-t**3 - t**3 + 4*t**3).
-2*t**4
Expand (0*a**4 - 4*a**4 + 2*a**4)*(-4*a + 2*a - 2*a) + a**3 - 3*a**3 + 2*a**4 + 6*a**5 - 3*a**5.
11*a**5 + 2*a**4 - 2*a**3
Expand -3*h**4 + 102*h - 103*h + 0*h**4 + (-5 + 4 - 1)*(-5*h**4 + 0*h**4 + 2*h**4).
3*h**4 - h
Expand (-2*v**2 - 2*v**2 - v**2)*(3*v - v - 7*v)*(-3 - v + 3).
-25*v**4
Expand (2*q**3 + 4 - 4 + (-1 + 2*q + 1)*(2*q**2 - 2*q**2 - 2*q**2))*(-1 + 5 - 2).
-4*q**3
Expand i**2 + 0*i**2 - 3*i**2 + 2*i + i**2 - 2*i + (-3*i + i + 4*i)*(0*i + 0*i - i) + (2 - 4 + 1)*(2*i**2 - 6*i**2 + 2*i**2).
-i**2
Expand (11 + 11 - 6)*(5 + 3*g - 5).
48*g
Expand (3*z - 4*z + 3*z)*(0 + 1 + 1)*(-47 + 3 - 37).
-324*z
Expand (-3 + 3 - i)*((-1 + 3 - 4)*(3 - 5 + 3) + 0 + 0 + 1).
i
Expand (-7 - 8*y + 7)*(-y + y - 2*y).
16*y**2
Expand (2*a + 1 - 1)*(2*a - 6*a + 5*a) - 402*a + 14*a**2 + 402*a.
16*a**2
Expand (-11*y**3 + 3*y**3 + 4*y**3)*(-3*y + 2*y + 2*y).
-4*y**4
Expand -4*y**2 + 4*y**2 - y**2 + (0 - 4 + 2)*(32*y**2 + 42*y**2 - 43*y**2).
-63*y**2
Expand (5 - 4 + 3)*(-n + 2 - 2)*(n**3 + n - n).
-4*n**4
Expand ((-2*t + 2*t - t)*(-t - 2*t + t) + t**2 - 4*t**2 + 2*t**2 - 2*t + 2*t - 4*t**2 - 5 + 5 + 4*t**2)*(t**2 + 3 - 3).
t**4
Expand (-2*q - q + 6*q + q**4)*(2*q - 8*q + 3*q)*(-1 + 3 - 1).
-3*q**5 - 9*q**2
Expand (-2*z + 2*z + 2*z**2)*(z**2 - 4*z + 4*z)*(4 - 4 + 2).
4*z**4
Expand ((6*h - 3*h - 2*h)*(2 - 3 - 2) + h - 3*h + h)*(3 - h**2 - 3).
4*h**3
Expand 0*x**3 + 3*x**3 - 2*x**3 + (-x - x + 0*x)*(4*x**2 + 3*x**2 - x**2).
-11*x**3
Expand (0 - 2 + 4)*(-2 + 0 + 3)*(-32 + 24*t**2 + 32).
48*t**2
Expand (-1 - 1 - 1)*(1 - 1 - 1)*(-m + 5*m - 3*m + 2*m - 5*m + 2*m - m + 0 + 0 - 2*m + 4*m - 3*m + (-1 + 1 - 2*m)*(0 + 5 - 3) + 0*m - m + 0*m - 2*m - 2*m + 5*m).
-18*m
Expand (-g**2 - 2*g + g**2 - 2*g**3)*(0*g**2 + g**2 - 2*g**2).
2*g**5 + 2*g**3
Expand (-3*m**2 + 3*m**2 + 2*m**2)*(3 - 3 + 2*m)*(-6 + 4 + 13).
44*m**3
Expand (6*k**4 + 3*k**2 - 7*k**2 - 7*k**4)*(0 + 2 + k - 3).
-k**5 + k**4 - 4*k**3 + 4*k**2
Expand (-5*x + 4*x + 3*x)*(-1 + 1 + x + (-2*x + 0 + 0)*(-5 + 4 + 0) + 3*x + x - 3*x - 3*x + x + x + x + 3*x - 9*x - x + 0*x + 0*x).
-6*x**2
Expand (11*x + 4*x**2 - 9*x - 2*x**2)*(-4 + 2 + 3 - 4 + 5 - 2 + (0 + 5 - 4)*(-1 - 2 + 1)).
-4*x**2 - 4*x
Expand -4*f + 2*f**5 - f + 4*f + (-f**5 - 5*f**5 + 2*f**5)*(0 - 1 - 1).
10*f**5 - f
Expand (3 - x**2 - 3)*(50 + 20 - 5).
-65*x**2
Expand (-4*j + 0*j + 7*j)*(-4 + j**2 + 4) + (1 - 2*j**2 - 1)*(2*j - 1 + 1).
-j**3
Expand (9*m + 3 + 1 - 7*m)*(3*m**4 + m**3 - m**3).
6*m**5 + 12*m**4
Expand (-1 + 2 + 0)*(4 - 1 - 1)*(4 - 4 + 6*y) - 2*y + 2*y + y + 3*y + 2*y - 6*y + (-6 + 1 + 3)*(0*y - 2*y + 4*y) - 2 + 2 - 2*y.
6*y
Expand (0*d - 4*d + 2*d + (-d + 4*d - 2*d)*(4 - 2 - 3) - 5*d + 4*d + 3*d + 52 - 12*d - 52)*(-2 - 1 + 1)*(5*d - 3*d - 3*d).
-26*d**2
Expand (-36 - 20 - 14 + 17)*(-2*d - d - d).
212*d
Expand (-4*h**2 - 259 + 259)*(-1 - 2*h + 1).
8*h**3
Expand -f + 0*f + 2*f - 2*f + 2*f - f + 3 - 3 + f + (5 - 3 - 1)*(-3 + 3 + f) - 3*f + 3*f + f - 4*f - 3*f + 2 | {
"pile_set_name": "DM Mathematics"
} |
without replacement from vvvvbvvbvvvbbvvbbv. Give prob of picking 3 v.
55/204
Four letters picked without replacement from {a: 1, s: 2, k: 2}. Give prob of picking 1 s, 1 a, and 2 k.
2/5
Four letters picked without replacement from jjjsjjsjjljjsjjjsljl. Give prob of picking 2 l and 2 s.
6/1615
Three letters picked without replacement from {y: 2, l: 3, i: 5}. What is prob of picking 1 y and 2 i?
1/6
Three letters picked without replacement from orrexexa. What is prob of picking 1 e, 1 a, and 1 x?
1/14
Three letters picked without replacement from bjjjobojyoyo. What is prob of picking 2 b and 1 y?
1/110
What is prob of picking 1 x and 2 n when three letters picked without replacement from {n: 9, x: 9}?
27/68
What is prob of picking 1 r and 1 i when two letters picked without replacement from {y: 4, b: 6, r: 1, i: 2, f: 7}?
1/95
Calculate prob of picking 1 k and 1 h when two letters picked without replacement from hhxhxxhhhhkxhxhxxh.
10/153
Two letters picked without replacement from ozkzkzzezowezwwbwew. Give prob of picking 1 b and 1 o.
2/171
Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {g: 4, p: 4, z: 1, l: 1, f: 1, u: 4}.
4/105
Four letters picked without replacement from ccccc. Give prob of picking 4 c.
1
Four letters picked without replacement from muttmummuursitu. Give prob of picking 1 i, 2 t, and 1 u.
1/91
Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {g: 4, t: 13, s: 3}.
6/95
Calculate prob of picking 2 p when two letters picked without replacement from eedeeeeeeeepepr.
1/105
Three letters picked without replacement from {l: 4, m: 8, i: 2, w: 1, z: 2, j: 3}. Give prob of picking 3 m.
14/285
Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {d: 3, c: 3}.
9/20
Calculate prob of picking 1 h, 1 l, and 1 o when three letters picked without replacement from {d: 5, e: 2, l: 3, h: 3, o: 1, w: 1}.
9/455
Three letters picked without replacement from {w: 11, i: 4, l: 3}. Give prob of picking 2 i and 1 l.
3/136
Two letters picked without replacement from nnaxp. Give prob of picking 1 n and 1 x.
1/5
Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {c: 3, h: 1, g: 5, r: 1, y: 4}.
3/91
Calculate prob of picking 1 j, 1 u, and 2 d when four letters picked without replacement from {d: 7, c: 1, q: 3, u: 7, j: 2}.
98/1615
Two letters picked without replacement from {z: 5, c: 2, x: 12}. What is prob of picking 1 z and 1 c?
10/171
What is prob of picking 1 n and 1 f when two letters picked without replacement from {n: 3, k: 2, v: 3, f: 3, o: 2, c: 1}?
9/91
Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {q: 1, y: 1, v: 2, d: 1, o: 1, i: 1}.
2/21
Four letters picked without replacement from iciggcciwucccg. What is prob of picking 3 i and 1 u?
1/1001
Calculate prob of picking 2 p when two letters picked without replacement from ipuiiiuiiuip.
1/66
Four letters picked without replacement from ubqululooobboobowww. Give prob of picking 1 w, 1 u, 1 b, and 1 o.
18/323
Four letters picked without replacement from jjjrjrjrjjjjrjjrrj. Give prob of picking 4 j.
11/68
Two letters picked without replacement from bbpinppiipptbbpbt. Give prob of picking 1 b and 1 t.
5/68
Two letters picked without replacement from nnnnnnnbnnnbbnn. Give prob of picking 1 n and 1 b.
12/35
Two letters picked without replacement from iiiibibbiiiiii. What is prob of picking 2 b?
3/91
Two letters picked without replacement from cnn. What is prob of picking 1 n and 1 c?
2/3
Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {o: 2, b: 3, l: 3, x: 3, k: 2}.
1/13
Calculate prob of picking 1 t, 1 m, 1 w, and 1 o when four letters picked without replacement from {o: 2, d: 2, m: 2, t: 10, w: 1, p: 2}.
10/969
Two letters picked without replacement from {d: 2, f: 2, r: 6, w: 1, x: 6}. What is prob of picking 1 d and 1 w?
1/68
Calculate prob of picking 2 r when two letters picked without replacement from {k: 1, r: 2}.
1/3
Three letters picked without replacement from kqgtggcgiqgigcq. Give prob of picking 1 c, 1 g, and 1 i.
24/455
Calculate prob of picking 1 b, 1 x, and 2 f when four letters picked without replacement from bxxffxxxbbxb.
8/165
Two letters picked without replacement from {y: 2, q: 1, b: 2}. What is prob of picking 1 q and 1 b?
1/5
Four letters picked without replacement from {t: 10}. Give prob of picking 4 t.
1
Three letters picked without replacement from {o: 3, k: 5, d: 1, z: 1, p: 3, w: 1}. What is prob of picking 1 d, 1 w, and 1 z?
1/364
Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {l: 2, o: 2, p: 2, t: 3, c: 3, a: 4}.
3/40
Calculate prob of picking 2 w when two letters picked without replacement from {a: 2, q: 2, v: 4, w: 5}.
5/39
What is prob of picking 1 y, 1 u, and 1 g when three letters picked without replacement from {y: 6, u: 4, g: 1}?
8/55
Calculate prob of picking 1 x and 1 t when two letters picked without replacement from xydjddt.
1/21
What is prob of picking 2 x when two letters picked without replacement from ddxddx?
1/15
Calculate prob of picking 1 e, 1 w, and 1 l when three letters picked without replacement from {l: 5, c: 5, e: 3, w: 1, f: 1}.
3/91
Two letters picked without replacement from {q: 6, e: 3, z: 5, c: 2, v: 2}. What is prob of picking 1 e and 1 z?
5/51
What is prob of picking 1 w, 1 v, and 1 g when three letters picked without replacement from {v: 1, w: 3, g: 5, l: 4}?
15/286
Calculate prob of picking 1 z and 1 e when two letters picked without replacement from ezlceezeeeeezzeecez.
55/171
Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {v: 1, m: 2, c: 1, q: 1, p: 2}.
2/21
Three letters picked without replacement from {f: 1, s: 2, o: 1, q: 2, x: 2, w: 1}. Give prob of picking 1 w, 1 o, and 1 q.
1/42
What is prob of picking 1 d, 2 s, and 1 g when four letters picked without replacement from {g: 6, d: 4, s: 3}?
72/715
Two letters picked without replacement from {w: 2, q: 9}. Give prob of picking 2 q.
36/55
Three letters picked without replacement from {k: 6, m: 6}. What is prob of picking 2 k and 1 m?
9/22
Two letters picked without replacement from {q: 9, w: 8, f: 2}. Give prob of picking 1 f and 1 q.
2/19
What is prob of picking 2 f when two letters picked without replacement from viipfvoffvfoiff?
1/7
What is prob of picking 1 d and 2 t when three letters picked without replacement from tdzttddpnzpndntttd?
25/272
Calculate prob of picking 1 c and 1 a when two letters picked without replacement from lfaldaqc.
1/14
Two letters picked without replacement from tvvvsvvtstt. What is prob of picking 2 s?
1/55
Three letters picked without replacement from eveeeveveeeeeeee. Give prob of picking 3 e.
143/280
What is prob of picking 1 b and 2 e when three letters picked without replacement from ybneuge?
1/35
What is prob of picking 2 h and 2 r when four letters picked without replacement from {k: 1, z: 1, h: 2, r: 4}?
3/35
What is prob of picking 2 r when two letters picked without replacement from {z: 5, w: 1, y: 5, r: 7}?
7/51
Calculate prob of picking 1 a and 2 y when three letters picked without replacement from {y: 2, o: 1, a: 1, v: 2}.
1/20
Three letters picked without replacement from {z: 6, w: 2, y: 1, n: 5, x: 1}. What is prob of picking 2 w and 1 n?
1/91
Two letters picked without replacement from hhhhlwwi. Give prob of picking 1 h and 1 w.
2/7
What is prob of picking 1 m, 1 h, and 2 n when four letters picked without replacement from {r: 2, m: 3, h: 1, f: 2, j: 2, n: 2}?
1/165
Three letters picked without replacement from {e: 4, m: 1, c: 3, w: 1, x: 2}. What is prob of picking 1 w and 2 e?
2/55
Four letters picked without replacement from {i: 1, h: 3}. Give prob of picking 4 h.
0
What is prob of picking 1 u and 1 v when two letters picked without replacement from {q: 12, u: 1, v: 6}?
2/57
Four letters picked without replacement from {u: 2, p: 3, i: 1, n: 4, f: 2, e: 3}. What is prob of picking 2 u and 2 n?
2/455
What is prob of picking 1 f and 1 q when two letters picked without replacement from qssffqqsffmf?
5/22
What is prob of picking 2 l and 2 | {
"pile_set_name": "DM Mathematics"
} |
p(q) = -4*q + 11 - 2*q**2 + 10*q**2 + 12*q - q**3. Let w be p(9). Solve -4*z + 2*r - 5*r = -6, 2*z + w*r = 4 for z.
0
Suppose -u - 25 = -3*z - 12, -4*z - u = -8. Solve 0 = j - 5*y - 23, -j + z = -2*y - 5 for j.
-2
Let q be (1 + -1)/(0 - -2). Suppose q = 3*u - 15. Suppose j - 18 = -2*c, 3*c + 4 = 3*j - 23. Solve 0*v - 3*m - j = -u*v, -4*v = -4*m - 16 for v.
0
Let w(l) = 4 + 10 + l**3 + 19*l**2 - 4 - 20*l - 5. Let i be w(-20). Solve -4*n = -i*f - 40, -f - 4*n + 12 + 4 = 0 for f.
-4
Let k = 105 + -101. Let x(j) = -j + 1. Let t(g) = -g + 1. Let r(u) = -4*t(u) + 3*x(u). Let w be r(k). Solve 6 = -3*o, 5*c + w*o + 17 = 2*o for c.
-3
Let a be (17 - 19)*1/2 - -6. Solve -5*w + 2*m = -3*w + 2, 3*m = -a*w + 27 for w.
3
Let m(b) = -62*b + 6. Let u be m(-1). Suppose u = 20*z - 3*z. Solve -z*y = -2*t + 4, 2*t + 2 = -y - 4 for y.
-2
Suppose -2 = 4*f - 26. Suppose -o = -2*m - 5, o - 2*m + 73 = f*o. Suppose -5 = 4*b - o. Solve 3*x = -r + 5*r + 7, b*r + 5*x = 3 for r.
-1
Let c(i) = -i**2 + 6*i - 9. Let b be c(5). Let t be (-8)/(4*((-2)/b - 1)). Solve -3*n - 4*q = 8, 2*q = t*n - 0 - 4 for n.
0
Suppose -4*p + 18 = 2. Suppose -14*t = -9*t - 90. Suppose 4 = -4*a + 5*a. Solve p*s + 0*k - a*k = -16, -3*s = 3*k + t for s.
-5
Let g = -95 - -101. Solve g = 2*x - f, -3*x - f - 3*f = -20 for x.
4
Let y be 4 + 1/1 - 2. Let d(k) = -k + 7. Let q be d(y). Solve -3*w + 2*w = l + 7, -2*l + 3*w = q for l.
-5
Let l(t) = 11*t - 74. Let u be l(7). Solve 11 = -i - 5*r, -3*i - 7 = -2*i + u*r for i.
-1
Let j(x) = 4*x**2 - 11*x + 6. Suppose 13*a = 10*a + 21. Let i be j(a). Suppose 3*n - i + 2 = 0. Solve 0*s - 13 = -s - 2*m, -5*s - 4*m = -n for s.
5
Let y(g) = 3*g + 0*g - g**2 + 1 - 8*g + 1. Let n be y(-5). Solve -3*k - n*k = -2*d, -3*d + 3*k - 9 = 0 for d.
-5
Let c be ((-3)/(-6) + 0)*(2 - -2). Suppose -10*u + c = 2. Solve f = u, -6 = -3*y - 2*f - f for y.
2
Suppose 37*r - 20*r = 34. Solve -5*j = -r*h - 11, 0 = -h + 2*h - j + 4 for h.
-3
Suppose 4*z - 64 = -0*z + l, 0 = z + 2*l - 16. Let q = -21 + 21. Suppose 101*p - 94*p = q. Solve p = -2*t - 3*v - 2, -t + 6 - z = -3*v for t.
-4
Let i(s) = s - 1. Let h be i(-6). Let a(r) = -r - 2. Let k be a(h). Let d be 40/5 - (-2 - (-2 + -4)). Solve -5*o - 3*q - 30 = 0, 0*o - 5*o = -d*q - k for o.
-3
Let f be 24/18*45/4. Solve -5*q + 0*q - i + 28 = 0, -5*i + f = 0 for q.
5
Let h(x) = 5*x - 76 + 0*x - 6*x - 131. Let l be h(0). Let m be 2/10 + l/(-15). Solve 5*z = -d - 2*d - 18, m = -3*z - 5*d for z.
-3
Let d(x) = -2*x**3 + x**2 + 2*x - 1. Let z be 4/10*(-10 + 5). Let r be d(z). Let p be 310/r + (-2)/3. Solve -5*a + 25 = -2*f, 0 = -5*a + a + 5*f + p for a.
5
Suppose 4*i + g - 21 = -18, -4*i + 33 = -5*g. Solve -3*n = -w + 6 - 1, 8 = -i*w for n.
-3
Let i = -13073 - -13078. Let r be 2 + (0 - (2 - 2)). Solve -r*m = -5 + 1, m - 27 = i*f for f.
-5
Let p = 126 - 101. Solve -5*z = 5*j - p, 0 = 4*j - 3*z - 22 + 2 for j.
5
Suppose g - 5*n + 20 = 0, -4*g - 4*n + 40 = -0*g. Let r be (-8 - 27)*(-2)/g. Suppose -7*l + 0 = -r. Solve -m + 33 - 13 = -5*f, l*f = -2*m + 4 for m.
5
Suppose -4*y + 3*q + 9 = 0, 0 = 5*y + q + 5 - 2. Suppose -5*u - 5 + 10 = y. Solve -5*a = 0, 14 + u = -5*h + a for h.
-3
Suppose 0 = -2*c - j + 1, -5*c - 2*j - 2*j - 2 = 0. Solve -2*i - c - 4 = 0, -3*i = -2*w + 5 for w.
-2
Let g = -138 + 143. Solve -15 = -g*r, 5*x - 1 = r + 11 for x.
3
Suppose -3*f = -3*d, -4*f - 8 = -5*d - f. Suppose 2*z + 8 = 4*i, 4*i - 97*z + 94*z - 6 = 0. Solve -i*k = d*j - 2*k - 2, 2*j = -k for j.
1
Let j be 11/3 + 2/(-3). Let s(f) = -f**3 + 7*f**2 - 2*f - 6. Let u be s(j). Solve m - 4 = 2*l + 5, 5*l - 4*m = -u for l.
-4
Suppose 74*g - 426 = 62*g - 130*g. Let c(a) = 3 + 2*a - a + a - a**2. Let v be c(3). Solve v = g*z + 15, -10 + 33 = -r - 4*z for r.
-3
Let t(w) = -w**3 - w**2 - 3*w - 2. Let d be t(-3). Suppose -4*j - f = 2*f - d, 5*j = -f + 23. Solve 0 = j*g - 0 + 4, -u - 3*g - 7 = 0 for u.
-4
Let f be (-3 + 28)*1/5. Solve 0*m + m = f*j - 7, 0 = 4*j + 5*m - 23 for j.
2
Let v be 2 + (-16)/9 - 918/(-243). Solve -v*h = -2*g + 14, 6*h - 4*h - 3*g + 13 = 0 for h.
-2
Suppose -133*r + 135*r + q - 11 = 0, 0 = 5*r + 5*q - 35. Solve -4*g = 4*f - 4, -2*f + r*f - 6 = -3*g for g.
4
Suppose -15 = -5*l, 3*c + 2*l = -0*l + 159. Suppose -5*i - 11 = -c. Suppose i = 12*y - 8*y. Solve -o + 5*t = 23, 3*o = -o + y*t - 20 for o.
-3
Let m(b) = 2*b - 4. Let w be m(3). Suppose 3*d + 4 - 10 = 0. Suppose -5*k = 2*n - 9, 3*n + 6*k - 9 = 3*k. Solve x + 19 = -4*s + 2*x, -d*s - n = w*x for s.
-4
Suppose m - 6 = -m. Suppose 2*s - s = -m*a + 11, 4*s = 4*a + 12. Solve -10 = h - 3*q, q + 2*q = a*h + 5 for h.
5
Let k(j) be the first derivative of j**2/2 + 2*j - 4. Let o be k(8). Solve -h - f + 2 = -0*f, o = -5*f for h.
4
Suppose 0*x + 5*a = -2*x + 1, 3*x = -3*a + 15. Let m = 13 + -14. Let b be x/2 - (m + 3). Solve 2*z - 36 + 12 = 4*f, -2*f - b*z = 6 for f.
-5
Let w(v) = -v**2 - 4*v + 3. Let c be w(-4). Suppose -2*s + 76 - 90 = -5*x, 2*x = 5*s - 7. Suppose 4 = -2*d + 12. Solve 13 = c*f + s*i - 8, 0 = -2*i + d for f.
5
Let c be -1 - (4 - -2)/(-2). Suppose 4*i - 24 = y, 4*i + 3*y = -c*y. Solve -7 - 4 = -4*u + n, -2*n = -i*u + 16 for u.
2
Let x be 94/(-8) - (-33)/44. Let n(h) = -5*h**2 - 21 + 4*h**2 - 6*h - 11*h. Let p be n(x). Solve 5*a + 6*j = j + p, 5*a - 2*j - 17 = 0 for a.
5
Suppose -388*n + 392*n = 16. Let u(p) = 4*p**3 - p**2. Let i be u(-1). Let t = 9 + i. Solve n*b + 6 = 2*q, 12 = -b - 4*b + t*q for b.
0
Let p(z) = 54*z + 110. Let y be p(-2). Solve 3*m = -4*n - 7, 3*n + y = -2*m - 4 for n.
-4
Let j be (0/(3 + -7))/2. Solve -2*w = -2*k + w - 7, j = k + 5*w - 3 for k.
-2
Let n(s) = 3*s - 8. Let c be n(4). Suppose -12 = c*t, 2*t + 58 = -0*h + 4*h. Solve 2*u - u = 2*g + h, 10 = -2*g for u.
3
Let f be 198/8 + (-11)/(-44). Let g = -2 - -7. Suppose -g*i = -i - 84. Solve -5*a = -f, 0*c + i = c + 5*a for c.
-4
Suppose 62*g = 60*g + 16. Solve 3*k = 4*x + 11, 4*k - g = 4*x - 0 for x.
-5
Suppose -146*k + 143*k + 18 = 0. Let h = -2 + 6. Solve h*c - 5*b = -1, -k*c = -4*c - 2*b for c.
1
Let s be (-6 + 7)*(-2 + 4). Solve -2*d + 5*d = 3*h - 6, 5*d - s*h = -7 for d.
-1
Let c = -1069 - -1072. Solve 5*t = -3*b - 7, 6*b - 3*b + 15 = c*t for b.
-4
Let d = -1655 + 1679. Solve -4*c - 2*p - d = -4*p, -c + 3 = 4*p for c.
-5
Let m(d) = -d**3 - 6*d**2 - d - 2. Let g be m(-6). Suppose 4*v = 2*c - 1 + 3, -2*v + 2*c = g. Solve -v*z = -4*x + 19, z + 0*x + 10 = 5*x for z.
-5
Let x(o) = 7*o - 24. Suppose -11*n + 11 = -33. Let y be x(n). Solve 6 = -i + y*l, 3*l - 1 = 5 for i.
2
Let q = -4 + 8. Solve -q*p - 20 = 0, -2*z - 3*p + p = 0 for z.
5
Let w be (1/(-3))/((-3)/27). Let t(k) = -k**3 - k**2 + 7*k + 5. Let o be t(-3). Solve 4*n - w*y = -11, 0 = -5*n + 2*n + o*y - 8 for n.
-2
Suppose -5*r + 661 = 651. Solve -24 = 4*m - 3*o, m + 7 + 4 = r*o for m.
-3
Let z = 10 - 13. Suppose n - 2*r - 5 = 0, 2*n - 3*r = 5 + 3. Let t be (-2 - z)*n - 1. Solve -3*o = -o, t = -5*x - o - 15 for x.
-3
Suppose 0 = g - 2*c - 13, 11*c - 6*c + 31 = 2*g. Suppose -t = -g*t + 8. Suppose 4*s - t - 4 = 0. Solve q + 6*v = s*v + 13, -3*q + 5*v + 5 = 0 for q.
5
Let l = -9 - -12. Suppose l*o = -0*o + 12. Suppose -3*n + 5*w - 7 = -4*n, 14 = 5*n + o*w. Solve 2*y + n*d = 14, -2 = -y + 3*d - 11 for y.
3
Let l(w) = -6*w + 21 - 3 - 5*w. Let f be l(-2). Solve -4*i = -4*s, i - 6*i = 3*s - f for i.
5
Let w be (16*36/960)/((-3)/(-10)). Solve -3*f + 4 = -r, -w = r - 4 for f.
2
Let l = 43 - 20. Suppose 3*x - l = -11. Let f be 3/((x/(-3))/(-4)). Solve 2*d - f = 4*b - b, 2*d = -4*b + 2 for b.
-1
Let l be (12/(-20))/((-2)/(-10)). Let a = 18 + l. Suppose 5*j = 2*j + a. Solve 4*p - 5*m - 2 + 9 = 0, -2 = -p + j*m for p.
-3
Let z be 6/(-21) - (-2 + (-235)/(-35)). Let v(r) = 2*r**2 + 12*r + 16. Let y be v(z). Solve -3*w + 0*w = 5*b - 6, w + 3*b - y = 0 for w.
-3
Let r(m) be the third derivative of -m**6/120 - 3*m**5/20 + 11*m**4/24 + 5*m**3/3 - 34*m**2. Let a be r(-10). Solve 5*n = y + 5, -2*n - 10 = -a*n + 2*y for n.
0
Let q be (2 + (-33)/9)*-6. Suppose g + 13 = j - 3, 0 = -2*g + q. Solve -m = -4*i + j, 13 = -3*i + 5*m + 50 for i.
4
Suppose 34*f = 29*f + 75. Let j(v) = v**2 + v. Let r be j(1). Suppose 4*x - 2*x = g - 6, -r*x = 3*g + 6. Solve -i - f = -2*u, g*u = -u + 5 for i.
-5
Let h be 16/18*12*(-3)/(-2). Let c be 0 - (-7 - h/(-4)). Solve 4*u - 22 = -0*x - 2*x, c*x = -2*u + 13 for u.
5
| {
"pile_set_name": "DM Mathematics"
} |
n two letters picked without replacement from {p: 1, m: 2}?
1/3
What is prob of picking 2 w when two letters picked without replacement from nwwnw?
3/10
Two letters picked without replacement from {i: 4, h: 1, e: 3, o: 2}. What is prob of picking 2 i?
2/15
What is prob of picking 1 x, 1 j, and 1 p when three letters picked without replacement from jpxnntx?
2/35
Calculate prob of picking 4 l when four letters picked without replacement from {l: 7, y: 4}.
7/66
Four letters picked without replacement from hhghgghgghgg. Give prob of picking 3 g and 1 h.
35/99
Three letters picked without replacement from {g: 3, s: 4}. What is prob of picking 3 s?
4/35
What is prob of picking 2 b, 1 x, and 1 s when four letters picked without replacement from bxiibititbiiiisii?
3/2380
What is prob of picking 2 l, 1 p, and 1 k when four letters picked without replacement from ppkllllppkllzk?
180/1001
What is prob of picking 2 z and 2 a when four letters picked without replacement from {z: 2, a: 3}?
3/5
What is prob of picking 1 y and 1 h when two letters picked without replacement from {y: 2, h: 1, t: 1}?
1/3
Three letters picked without replacement from {t: 1, n: 3}. Give prob of picking 3 n.
1/4
Calculate prob of picking 3 o and 1 j when four letters picked without replacement from owmomowmjojmamm.
8/1365
Calculate prob of picking 2 u when two letters picked without replacement from fohulfufofullufffof.
2/57
Three letters picked without replacement from {t: 5, a: 15}. Give prob of picking 2 t and 1 a.
5/38
Three letters picked without replacement from {d: 2, i: 2}. What is prob of picking 1 i and 2 d?
1/2
Two letters picked without replacement from yyyyylyylyylyy. Give prob of picking 1 y and 1 l.
33/91
What is prob of picking 1 m, 1 z, and 2 p when four letters picked without replacement from tzmpppmpmmpppmtppm?
6/85
What is prob of picking 2 p when two letters picked without replacement from pxvpxvuuusvuuup?
1/35
Two letters picked without replacement from fttfmftttttftt. What is prob of picking 1 m and 1 f?
4/91
Two letters picked without replacement from aauurnuapnaauraruan. What is prob of picking 1 u and 1 a?
35/171
Calculate prob of picking 2 u and 1 x when three letters picked without replacement from xxxxxuxxuxuxux.
15/91
Two letters picked without replacement from iuutn. Give prob of picking 1 i and 1 u.
1/5
Three letters picked without replacement from {y: 1, w: 3, k: 4, u: 2, c: 3, s: 2}. What is prob of picking 1 w and 2 u?
3/455
Three letters picked without replacement from bibiwmi. What is prob of picking 1 i and 2 b?
3/35
Two letters picked without replacement from nbbbnbbbbbtbnbttbt. Give prob of picking 2 t.
2/51
Calculate prob of picking 2 e and 1 t when three letters picked without replacement from eeetetwttttteeetete.
108/323
Calculate prob of picking 1 x, 1 d, and 1 k when three letters picked without replacement from dxddmfdk.
1/14
Four letters picked without replacement from {p: 3, a: 5}. What is prob of picking 2 p and 2 a?
3/7
Four letters picked without replacement from iieipppep. Give prob of picking 2 e and 2 i.
1/42
Three letters picked without replacement from {j: 1, r: 1, a: 1, n: 1, b: 1}. Give prob of picking 1 j, 1 a, and 1 n.
1/10
What is prob of picking 2 h, 1 v, and 1 m when four letters picked without replacement from imdmhfvhd?
1/63
Two letters picked without replacement from daadaaddqqdadd. What is prob of picking 2 a?
10/91
Four letters picked without replacement from tbttbttttbtt. Give prob of picking 4 t.
14/55
Four letters picked without replacement from {n: 1, q: 4, z: 2, h: 2}. Give prob of picking 1 n and 3 h.
0
Two letters picked without replacement from {k: 1, a: 4, t: 3, l: 1, o: 2}. What is prob of picking 1 t and 1 k?
3/55
Calculate prob of picking 2 u and 1 i when three letters picked without replacement from gmmmxxkixixmumxxx.
0
What is prob of picking 1 z and 1 u when two letters picked without replacement from uuzuuuuufuuufuuuu?
7/68
Calculate prob of picking 3 w when three letters picked without replacement from wwwzwwwwzwwww.
15/26
Calculate prob of picking 2 l, 1 u, and 1 m when four letters picked without replacement from {n: 1, m: 3, l: 9, u: 4, z: 1}.
12/85
What is prob of picking 1 f, 1 m, and 1 t when three letters picked without replacement from {m: 4, c: 6, f: 7, t: 1}?
7/204
Calculate prob of picking 1 c, 1 m, and 1 e when three letters picked without replacement from {b: 3, t: 1, m: 4, e: 1, c: 2}.
8/165
Four letters picked without replacement from {h: 2, p: 2, e: 6, a: 5, q: 3}. Give prob of picking 2 p and 2 e.
1/204
Calculate prob of picking 1 s and 2 k when three letters picked without replacement from {s: 5, k: 9}.
45/91
What is prob of picking 1 t and 1 o when two letters picked without replacement from olutucloy?
1/18
Three letters picked without replacement from mffm. What is prob of picking 2 f and 1 m?
1/2
Calculate prob of picking 2 h when two letters picked without replacement from {z: 5, h: 15}.
21/38
Calculate prob of picking 3 u when three letters picked without replacement from uuoouoououoo.
1/22
Two letters picked without replacement from ocoqexoqox. Give prob of picking 2 o.
2/15
Two letters picked without replacement from {h: 1, x: 1, g: 1, m: 1, k: 4}. What is prob of picking 1 k and 1 h?
1/7
Calculate prob of picking 1 e and 1 d when two letters picked without replacement from rrbebbedbe.
1/15
Calculate prob of picking 1 c and 3 f when four letters picked without replacement from ccccfcfccccccccfcc.
1/204
What is prob of picking 2 s and 1 l when three letters picked without replacement from sllilspqslisli?
15/182
Four letters picked without replacement from kigfkuf. What is prob of picking 1 i, 2 k, and 1 u?
1/35
Four letters picked without replacement from {y: 7}. What is prob of picking 4 y?
1
What is prob of picking 2 y when two letters picked without replacement from yyyyyayyyyyyyyyyayy?
136/171
Three letters picked without replacement from ipipgoirrbipgpp. Give prob of picking 1 r, 1 o, and 1 b.
2/455
Calculate prob of picking 2 o when two letters picked without replacement from {v: 1, o: 9, a: 1}.
36/55
Two letters picked without replacement from {k: 4, z: 7, u: 2}. Give prob of picking 2 u.
1/78
Three letters picked without replacement from skukonuukzuz. What is prob of picking 1 n, 1 s, and 1 k?
3/220
Four letters picked without replacement from {k: 3, r: 7, e: 2}. Give prob of picking 1 e and 3 r.
14/99
What is prob of picking 1 w and 2 n when three letters picked without replacement from {w: 11, n: 3}?
33/364
Three letters picked without replacement from {e: 2, j: 1, f: 4, m: 4}. Give prob of picking 1 e and 2 m.
4/55
Calculate prob of picking 1 v, 1 g, 1 x, and 1 p when four letters picked without replacement from {v: 3, x: 4, b: 1, g: 3, t: 4, p: 2}.
18/595
Calculate prob of picking 3 e when three letters picked without replacement from eemmseseemsrmeme.
1/16
What is prob of picking 2 o when two letters picked without replacement from {o: 3}?
1
What is prob of picking 3 x and 1 q when four letters picked without replacement from {q: 5, x: 7, m: 1}?
35/143
Calculate prob of picking 1 n, 1 j, and 2 x when four letters picked without replacement from {x: 3, n: 1, j: 4}.
6/35
Three letters picked without replacement from {q: 10, t: 5, r: 3, s: 1, k: 1}. Give prob of picking 1 s, 1 k, and 1 r.
1/380
Three letters picked without replacement from {s: 7, q: 2}. Give prob of picking 1 s and 2 q.
1/12
Calculate prob of picking 2 w and 1 a when three letters picked without replacement from {f: 1, a: 2, c: 1, z: 1, w: 2, b: 1}.
1/28
What is prob of picking 1 v and 1 q when two letters picked without replacement from {k: 2, q: 2, h: 1, v: 9}?
18/91
Calculate prob of picking 2 p when two letters picked without replacement from {z: 6, i: 6, p: 4, o: 2}.
2/51
Calculate prob of picking 2 o and 2 x when four letters picked without replacement from uoxucx.
0
What is prob of picking 1 q and 1 k when two letters picked without replacement from kqk?
2/3
Four letters picked without replacement from {u: 6, r: 12}. What is prob of picking 3 r and 1 u?
22/51
Four letters picked without replacement from {i: 4, n: 2, e: 1, o: 2}. Give prob of picking 1 i, 1 e, and 2 o.
2/63
Four letters | {
"pile_set_name": "DM Mathematics"
} |
*3 - 9*p**2 + p + 8
What is the l'th term of -551, -1100, -1651, -2204, -2759, -3316?
-l**2 - 546*l - 4
What is the l'th term of -9, -43, -117, -243, -433?
-2*l**3 - 8*l**2 + 4*l - 3
What is the g'th term of -87, -85, -81, -75, -67?
g**2 - g - 87
What is the k'th term of -3, 6, 27, 60?
6*k**2 - 9*k
What is the k'th term of -34, -182, -592, -1396, -2726, -4714?
-22*k**3 + k**2 + 3*k - 16
What is the g'th term of -2180, -4366, -6554, -8744, -10936, -13130?
-g**2 - 2183*g + 4
What is the h'th term of -34, -66, -98, -130, -162, -194?
-32*h - 2
What is the q'th term of -9000, -9003, -9006, -9009, -9012?
-3*q - 8997
What is the k'th term of 52, 58, 64, 70, 76?
6*k + 46
What is the h'th term of -4631, -9267, -13903, -18539?
-4636*h + 5
What is the x'th term of -149, -131, -113, -95, -77, -59?
18*x - 167
What is the r'th term of -28, -45, -76, -127, -204, -313, -460?
-r**3 - r**2 - 7*r - 19
What is the k'th term of -789, -1582, -2375, -3168, -3961?
-793*k + 4
What is the c'th term of -46059, -46060, -46061?
-c - 46058
What is the x'th term of -490, -487, -482, -475, -466, -455, -442?
x**2 - 491
What is the y'th term of -33, -30, -27, -24?
3*y - 36
What is the v'th term of -3652, -3654, -3656?
-2*v - 3650
What is the t'th term of -6499, -6501, -6505, -6511?
-t**2 + t - 6499
What is the o'th term of 80, 158, 236, 314?
78*o + 2
What is the w'th term of -25, -68, -135, -226, -341, -480?
-12*w**2 - 7*w - 6
What is the c'th term of 42, 32, 10, -30, -94, -188?
-c**3 - 3*c + 46
What is the p'th term of -107, -108, -111, -116, -123, -132?
-p**2 + 2*p - 108
What is the t'th term of 59, 108, 167, 242, 339, 464?
t**3 - t**2 + 45*t + 14
What is the z'th term of -550, -553, -556, -559?
-3*z - 547
What is the k'th term of -19, -20, -21?
-k - 18
What is the b'th term of -6, -11, -24, -51, -98, -171?
-b**3 + 2*b**2 - 4*b - 3
What is the h'th term of -188, -188, -176, -146, -92?
h**3 - 7*h - 182
What is the k'th term of 4454, 4459, 4464, 4469?
5*k + 4449
What is the d'th term of -195, -246, -295, -342, -387?
d**2 - 54*d - 142
What is the u'th term of 114, 106, 92, 72?
-3*u**2 + u + 116
What is the r'th term of 1681, 3360, 5039, 6718, 8397?
1679*r + 2
What is the t'th term of -14, -43, -86, -143, -214, -299?
-7*t**2 - 8*t + 1
What is the q'th term of -74, -124, -280, -596, -1126, -1924, -3044, -4540?
-9*q**3 + q**2 + 10*q - 76
What is the m'th term of -71, -139, -199, -245, -271?
m**3 - 2*m**2 - 69*m - 1
What is the x'th term of 230, 233, 236, 239?
3*x + 227
What is the k'th term of 342, 686, 1040, 1410, 1802, 2222?
k**3 - k**2 + 340*k + 2
What is the w'th term of -10942, -10940, -10938, -10936, -10934, -10932?
2*w - 10944
What is the s'th term of -1539, -3078, -4617, -6156, -7695, -9234?
-1539*s
What is the d'th term of 554, 547, 530, 497, 442, 359, 242, 85?
-d**3 + d**2 - 3*d + 557
What is the m'th term of 206, 413, 620, 827, 1034, 1241?
207*m - 1
What is the o'th term of 5, 2, 1, 2, 5, 10, 17?
o**2 - 6*o + 10
What is the u'th term of 2, 2, -12, -46, -106, -198?
-u**3 - u**2 + 10*u - 6
What is the j'th term of -50, -52, -54, -56, -58?
-2*j - 48
What is the f'th term of -45, -76, -127, -198?
-10*f**2 - f - 34
What is the w'th term of -324, -649, -974, -1299, -1624, -1949?
-325*w + 1
What is the r'th term of -6, -37, -78, -135, -214, -321?
-r**3 + r**2 - 27*r + 21
What is the a'th term of 160, 350, 572, 826?
16*a**2 + 142*a + 2
What is the j'th term of -39, -15, 35, 123, 261, 461, 735, 1095?
2*j**3 + j**2 + 7*j - 49
What is the q'th term of -8, -3, 2?
5*q - 13
What is the l'th term of -410, -791, -1184, -1595, -2030, -2495?
-l**3 - 374*l - 35
What is the a'th term of -21, -3, 43, 129, 267?
2*a**3 + 2*a**2 - 2*a - 23
What is the v'th term of 613, 631, 649?
18*v + 595
What is the v'th term of -2498, -2493, -2484, -2471, -2454, -2433, -2408?
2*v**2 - v - 2499
What is the n'th term of 56, 217, 482, 851, 1324, 1901?
52*n**2 + 5*n - 1
What is the u'th term of 515, 1034, 1553?
519*u - 4
What is the y'th term of 38, 49, 58, 65, 70?
-y**2 + 14*y + 25
What is the t'th term of 869, 1735, 2601, 3467?
866*t + 3
What is the q'th term of -20, -15, -6, 7, 24, 45, 70?
2*q**2 - q - 21
What is the p'th term of -3, 6, 23, 48, 81, 122?
4*p**2 - 3*p - 4
What is the i'th term of -13, -30, -49, -70, -93, -118, -145?
-i**2 - 14*i + 2
What is the i'th term of -26, -92, -268, -608, -1166, -1996, -3152, -4688?
-9*i**3 - i**2 - 16
What is the p'th term of -175, -362, -673, -1108?
-62*p**2 - p - 112
What is the g'th term of -203, -396, -553, -656, -687, -628, -461, -168?
3*g**3 - 214*g + 8
What is the u'th term of 382, 386, 392, 400?
u**2 + u + 380
What is the t'th term of 5, 1, -5, -13?
-t**2 - t + 7
What is the g'th term of 15, -7, -37, -69, -97, -115, -117, -97?
g**3 - 10*g**2 + g + 23
What is the m'th term of -39, -42, -35, -12, 33, 106?
m**3 - m**2 - 7*m - 32
What is the d'th term of 17, 53, 111, 191, 293, 417?
11*d**2 + 3*d + 3
What is the q'th term of -14, -54, -98, -146, -198, -254, -314?
-2*q**2 - 34*q + 22
What is the b'th term of 1001, 999, 997, 995, 993?
-2*b + 1003
What is the t'th term of 853, 1710, 2567, 3424, 4281, 5138?
857*t - 4
What is the u'th term of -109, -212, -315, -418, -521?
-103*u - 6
What is the q'th term of -589, -1178, -1765, -2350?
q**2 - 592*q + 2
What is the y'th term of -11, -28, -45, -62?
-17*y + 6
What is the n'th term of 246, 243, 240, 237, 234, 231?
-3*n + 249
What is the x'th term of 30, 51, 72, 93, 114, 135?
21*x + 9
What is the h'th term of -6, 5, 40, 111, 230, 409, 660, 995?
2*h**3 - 3*h - 5
What is the t'th term of -53, -70, -95, -128, -169, -218, -275?
-4*t**2 - 5*t - 44
What is the p'th term of 252, 213, 174?
-39*p + 291
What is the k'th term of -23, -238, -597, -1100, -1747?
-72*k**2 + k + 48
What is the n'th term of -62, -69, -76?
-7*n - 55
What is the u'th term of -49, -49, -37, -7, 47?
u**3 - 7*u - 43
What is the h'th term of -95, -191, -287, -383?
-96*h + 1
What is the o'th term of -228, -167, -66, 75, 256, 477?
20*o**2 + o - 249
What is the p'th term of -19, -43, -81, -133, -199?
-7*p**2 - 3*p - 9
What is the n'th term of -10047, -10049, -10051, -10053?
-2*n - 10045
What is the r'th term of 7, 16, 41, 88, 163, 272, 421?
r**3 + 2*r**2 - 4*r + 8
What is the n'th term of 138, 364, 740, 1266, 1942, 2768?
75*n**2 + n + 62
What is the h'th term of 14, 11, 8?
-3*h + 17
What is the l'th term of 61, 282, 655, 1180, 1857, 2686?
76*l**2 - 7*l - 8
What is the p'th term of 1988, 2013, 2050, 2105, 2184, 2293?
p**3 + 18*p + 1969
What is the r'th term of -44, -60, -90, -140, -216?
-r**3 - r**2 - 6*r - 36
What is the c'th term of 34, 34, 32, 28, 22?
-c**2 + 3*c + 32
What is the f'th term of -13, -28, -43, -58?
-15*f + 2
What is the o'th term of -111, -220, -313, -384, -427, -436?
o**3 + 2*o**2 - 122*o + 8
What is the n'th term of 953, 1923, 2893, 3863, 4833?
970*n - 17
What is the d'th term of 26, 56, 92, 134, 182, 236, 296?
3*d**2 + 21*d + 2
What is the o'th term of 22, 8, -26, -86, -178, -308?
-o**3 - 4*o**2 + 5*o + 22
What is the o'th term of -213, -842, -1891, -3360, -5249, -7558?
-210*o**2 + o - 4
What is the y'th term of -6, -29, -106, -267, -542, -961, -1554, -2351?
-5*y**3 + 3*y**2 + 3*y - 7
What is the o'th term of 5, 1, 13, 47, 109, 205, 341?
o**3 + 2*o**2 - 17*o + 19
What is the q'th term of 175, 392, 635, 916, 1247, 1640, 2107, 2660?
2*q**3 + q**2 + 200*q - 28
What is the f'th term of -461, -458, -455, -452, -449, -446?
3*f - 464
What is the z'th term of 2266, 2274, 2296, 2338, 2406, 2506, 2644, 2826?
z**3 + z**2 - 2*z + 2266
What is the b'th term of 32, 206, 526, 992, 1604, 2362, 3266?
73*b**2 - 45*b + 4
What is the a'th term of -28, -56, -84, -112, -140?
-28*a
What is the r'th term of 121, 123, 125, 127?
2*r + 119
What is the t'th term of -188, -190, -192?
-2*t - 186
What is the c'th term of 18, 36, 60, 96, 150, 228, 336?
c**3 - 3*c**2 + 20*c
What is the y'th term of -4376, -8750, -13124, -17498?
-4374*y - 2
What is the s'th term of 189, 188, 187, 186?
-s + 190
What is the q'th term of 816, 1624, 2432, 3240, 4048, 4856?
808*q + 8
What is the t'th term of 125, 132, 145, 164?
3*t**2 - 2*t + 124
What is the d'th term of -49, -60, -71?
-11*d - 38
What is the x'th term of -82, -85, -88, -91, -94, -97?
-3*x - 79
What is the k'th term of -833, -852, -897 | {
"pile_set_name": "DM Mathematics"
} |
r: -773/152910 or 1?
1
Which is smaller: -2/3 or 2413184?
-2/3
Which is smaller: 1 or -17/73742557?
-17/73742557
Which is smaller: 8/41 or -1064/191?
-1064/191
Which is smaller: 1 or 33/2198377?
33/2198377
Which is bigger: 7.4946047 or -4?
7.4946047
Is 350601 not equal to 350695?
True
Do 318743935 and 318743933 have different values?
True
Is -1 less than or equal to -2/20569391?
True
Is 3.15 <= -37127.2?
False
Is 28722 < 28983?
True
Which is bigger: -1054 or 1185570?
1185570
Is -35241 equal to -79388?
False
Is -470313 < -470592?
False
Is 3874 smaller than -13861?
False
Is 206 bigger than -3.0081?
True
Is -13186 greater than or equal to 61?
False
Which is smaller: -1 or 13/386337?
-1
Which is smaller: -11255972 or -11255967?
-11255972
Which is smaller: -1637/56 or 1618/23?
-1637/56
Which is smaller: 2617984 or 2618069?
2617984
Do -1 and -118/2190405 have different values?
True
Is -50597/97 bigger than -523?
True
Which is smaller: -5 or 564/28781?
-5
Which is bigger: -18603607 or -55810817/3?
-55810817/3
Do 468/217 and -1/1473 have different values?
True
Does 11672330 = 11672330?
True
Which is smaller: 2803100 or 2802943?
2802943
Is -206/1218695 > -1?
True
Is 109346211 greater than or equal to 109346209?
True
Is -16.01 < 0.26934?
True
Which is smaller: 1 or 2086/18265?
2086/18265
Which is smaller: -1263903 or -1263894?
-1263903
Is -1.1 != -13790.39?
True
Is 997705 less than 11?
False
Which is smaller: -22475020 or -157325134/7?
-22475020
Which is smaller: -1 or -1910/228251?
-1
Is -339666 less than -339385?
True
Is 7472691 greater than 7472703?
False
Which is smaller: 1/4 or -1354931?
-1354931
Is 6/62928191 bigger than 1?
False
Is -12 > -0.0498145?
False
Which is smaller: -1 or -705/435908?
-1
Is 655096 smaller than 655067?
False
Is 18257 smaller than 17609?
False
Which is bigger: -14941 or 420?
420
Which is bigger: 3199253/161 or 19870?
3199253/161
Are 3536 and 343051/97 non-equal?
True
Is 0 greater than 3699/142723?
False
Which is bigger: 484/1525677 or -1?
484/1525677
Which is smaller: 344 or 26581/77?
344
Is -1 not equal to -5/19451247?
True
Is -6 < 16.003718?
True
Which is smaller: 1 or -1443/80245?
-1443/80245
Which is smaller: 0 or 317/1471?
0
Does -2/9 = 8.524886?
False
Which is bigger: 902970/77 or 11726?
902970/77
Is -3341 less than -62161?
False
Which is smaller: -263/404779 or 0?
-263/404779
Which is smaller: -0.064424619 or 0.4?
-0.064424619
Do 1289301 and 1289306 have the same value?
False
Is 38 at least 1484855/4?
False
Which is greater: 1 or -174800973?
1
Which is smaller: 7 or 7047/1213?
7047/1213
Do -327701 and -327609 have the same value?
False
Which is smaller: 197124153 or 197124154?
197124153
Which is smaller: -3/8 or -19777/2?
-19777/2
Which is smaller: 588110 or 587974?
587974
Which is smaller: -12/46699387 or 0?
-12/46699387
Which is smaller: -1276/6599 or -1?
-1
Which is bigger: -1/550 or 6331?
6331
Which is greater: 1880 or -9998?
1880
Which is greater: -591/51560 or 2/3?
2/3
Which is bigger: -4363 or -5696?
-4363
Is 9608076/5 <= 1921616?
True
Which is greater: -64.19 or -8739?
-64.19
Is -198870 >= -199101?
True
Is -2/161 at least as big as -71602?
True
Which is greater: -1313350 or -10506795/8?
-10506795/8
Which is bigger: -191 or 6175515?
6175515
Which is greater: 2086 or -20601.3?
2086
Is -4911011 equal to -4910932?
False
Is 0.27282 at most as big as -3/25?
False
Do -159759 and -159359 have the same value?
False
Is 0.2 at most -12503023?
False
Which is bigger: -1 or -18/89155?
-18/89155
Which is smaller: -9 or -2081766?
-2081766
Is 8355650 smaller than 8355651?
True
Is -2/139434025 smaller than -1?
False
Which is smaller: -424583/16 or -26536?
-424583/16
Do 0 and 18116/72493 have the same value?
False
Do 24500 and 24219 have different values?
True
Is 2/51 > -4/905383?
True
Is 923259 not equal to 41/3?
True
Which is smaller: 163821.57 or 3/4?
3/4
Is -23080/3947 greater than -6?
True
Which is smaller: -7/7198337 or 1?
-7/7198337
Which is smaller: 1 or 32/83361757?
32/83361757
Which is greater: -126240 or -126505?
-126240
Which is bigger: 17695 or 4/903?
17695
Which is greater: 1/99171939 or 0?
1/99171939
Is -412/25 != -3/5?
True
Which is bigger: 6427 or 6119?
6427
Is 478541/10 smaller than 23?
False
Which is greater: -1353.552 or -0.295?
-0.295
Which is bigger: 1113916934 or 1113916936?
1113916936
Which is bigger: 1895/3712 or 0?
1895/3712
Is -3/8 >= -9/197797?
False
Is 0.82 at least -543482?
True
Which is bigger: -250641593 or -250641594?
-250641593
Which is smaller: 38441992 or 38441991?
38441991
Is -697712 equal to 190?
False
Do 441147/16 and 27572 have the same value?
False
Are 75/861853 and -0.2 nonequal?
True
Are -205776 and -35 equal?
False
Which is smaller: 34942451 or 0?
0
Which is bigger: 50881 or 50611?
50881
Which is bigger: -3108176 or -3108177?
-3108176
Which is greater: -36/19 or -88.397?
-36/19
Which is bigger: 12229338 or 12229340?
12229340
Is -6956796 > -6956786?
False
Are -2340610 and -2/11 nonequal?
True
Is 266591684 at least as big as 266591686?
False
Which is smaller: -101899 or -99630?
-101899
Is 1 greater than 182852907?
False
Which is smaller: -1353359/5 or 0?
-1353359/5
Which is smaller: -31513956 or -31513957?
-31513957
Which is smaller: 147990299 or 147990297?
147990297
Which is greater: 40/7 or -31846?
40/7
Which is bigger: 429814 or 429769?
429814
Is 2/33 less than 845903/4?
True
Which is greater: -0.2 or -221245948?
-0.2
Is 866918 != 866921?
True
Which is smaller: 0 or 156/5601601?
0
Are 1250/7577 and -1 unequal?
True
Is 63925 equal to 63845?
False
Is 0 at most as big as -67/20225?
False
Which is bigger: 2 or 46137/19633?
46137/19633
Is 1 not equal to -6/123696697?
True
Is 180526 bigger than 802?
True
Is -867/1815830 greater than -1?
True
Are -154 and -1502705 equal?
False
Is 1725993/13 at most 132768?
False
Do -5943119 and 8 have different values?
True
Which is bigger: 2828 or 171.578?
2828
Are -3705740 and -18528696/5 nonequal?
True
Which is smaller: 12755120 or 12755119?
12755119
Which is greater: -69579 or -74263?
-69579
Which is smaller: -125259 or -125245?
-125259
Which is greater: -1/4270929 or 0?
0
Which is bigger: 21735124 or -1?
21735124
Which is smaller: 0 or 219/13423?
0
Is -7044679 != -7044681?
True
Is 332291763 at least 332291762?
True
Is -153595 > 1?
False
Which is smaller: -0.1 or -3/73198?
-0.1
Is -9875286 > -9875290?
True
Is -2920798 equal to -4?
False
Is 406/9 < 40/107?
False
Is -15239 bigger than -26754?
True
Is 173855991 bigger than 1216991938/7?
False
Which is bigger: -883 or 403133?
403133
Which is smaller: 421452 or 421958?
421452
Which is bigger: 2/1039137505 or 1?
1
Is -5557074 at most -27785377/5?
False
Is 18187301 at least as big as 18187305?
False
Which is smaller: 472/9 or -2220/19?
-2220/19
Which is bigger: -69153045 or -69153047?
-69153045
Which is bigger: -1608717093/4 or -402179273?
-402179273
Which is smaller: -7885515 or -7885534?
-7885534
Is -884997 < -885083?
False
Is -159468 at least -159493?
True
Is 45522844 greater than or equal to 45522842?
True
Is -2/5 at most as big as 247.45473?
True
Which is smaller: 16154999 or 16154998?
16154998
Which is smaller: -35149/705 or -51?
-51
Are -33369155 and -33369156 non-equal?
True
Is -88379387 less than -88379389?
False
Do -1 and -1/17624735 have different values?
True
Which is smaller: 0 or -4/276465491?
-4/276465491
Is 30845 less than 26926?
False
Is 1 greater than or equal to 60094732?
False
Which is smaller: -11161 or -79/11?
-11161
Which is greater: -1 or -2/357969357?
-2/357969357
Which is greater: 1 or -746/5261689?
1
Which is smaller: 259406860 or 259406863?
259406860
Is -7539 at least as big as -474914/63?
False
Is -30 greater than 7558272?
False
Which is bigger: 54610 or 54341?
54610
Is -64/343 equal to -60?
False
Which is bigger: -259620 or -22067603/85?
-22067603/85
Is 1 > -11/3984207?
True
Which is bigger: 485697 or 484146?
485697
Which is smaller: -81131573/11 or -7375599?
-7375599
Which is bigger: -112194353 or -785360474/7?
-112194353
Are 43061250 and 43061252 nonequal?
True
Is 14920 at most as big as 74598/5?
False
Which is smaller: -8027 or -6203?
-8027
Which is bigger: 22747 or -4/5945?
22747
Is -62596 less than or equal to -57312?
True
Is -12/6577429 >= -1?
True
Are 0 and -1/303477352 | {
"pile_set_name": "DM Mathematics"
} |
= 0, 0 = -5*b. Let p = y + t. Solve -4*r - p*u = 9, 4*u = 3*u - 5 for r.
4
Let i be (-97)/((-3)/9*-3). Let n = -94 - i. Let k be 3/12 + 19/4. Solve 3*q = -4*o - 23, -9 = n*o - k*q + 1 for o.
-5
Suppose 0 = -2*h - 5*o + 19, 3 = 3*h - o - 0. Let b = 11 + -6. Let l = -251 + 261. Solve -3*x = -z + l, 0 = -x - b*z - 12 - h for x.
-4
Let n(a) = -a**3 - 20*a**2 + 21*a + 6. Let m be n(-21). Suppose 4*q - 3*t + m*t = 12, t = 4*q - 28. Solve -4*b - 5*j - q = 0, -b + 3*j + 8 = b for b.
1
Let r = 49 - 59. Let i = -8 - r. Solve 3*z - 3*j = -8 - 10, z - 3 = -i*j for z.
-3
Let y be 6/21 + 99/21. Let j = -1393 + 1421. Solve 19 = -y*w + 2*c, c = -9*w + 4*w - j for w.
-5
Suppose 5 - 17 = -h. Let r be (9/h)/((-1)/(-4)). Suppose -14*a - 16*a = -10*a. Solve 3*f - r*w = a, 9*f + 16 = 4*f - 3*w for f.
-2
Let g be 10/((-112)/(-63) - (-2)/9). Solve 5*n = x - 24, 20 = -g*x - 2*n - n for x.
-1
Suppose 4*a - a + 16 = 2*s, 4*s + 3*a - 50 = 0. Let y(w) = -207*w + 2. Let f be y(0). Solve 2*t + 2 = f*o, -t - 5 = -4*o + s for t.
4
Suppose k = -0*y - 2*y + 8, 0 = -3*k - 5*y + 21. Suppose 2*l - 10 = 6. Let j be (-16)/12*(-12)/l. Solve k*u = -j*v + 8, v = 4*u - 1 - 0 for u.
1
Suppose -2*h + o = 4, 4*h - 3*o + 1 + 5 = 0. Let u be h*2/3 + 20/10. Solve u = -3*y + 4*j - 31, -3*y + 2*j + 6 - 29 = 0 for y.
-5
Let o be (-2)/(-4) + (-33)/(-6). Let f be ((-42)/(-4))/(o/(-16)). Let g be (-4)/(-14) + (-132)/f. Solve 0 = g*y - q + 10, 3*q + 6 = -3*y + 2*q for y.
-2
Let n = -370 - -372. Let p be 2/(-7)*-5*7. Solve -j - q = 6, -3*q = -n*j + p - 2 for j.
-2
Suppose -3*z - 4*g = 257, z + g = -3*g - 75. Let x = 94 + z. Solve -2*o - 3*l = -x*o - 3, 3 = -5*o + 3*l for o.
0
Let z = 12 + -9. Suppose 3*r = -3, -4*b - 3*r = -5*r - 22. Let s(w) = -2*w - 7. Let i be s(-11). Solve o = -z*h - 0 - 15, b*o - i = 3*h for h.
-5
Let w = 969 + -955. Solve -5*o - 15 = -2*g + g, -2*o + 2*g - w = 0 for o.
-2
Suppose -2*p + 1 = -9. Suppose -1 = 3*r + p*n, 0 = -3*n + 3 - 9. Suppose -b + 5*y = -14, 3*y + 56 = r*b + b. Solve -4*a - 5*u = -b - 4, 4*a = 4*u for a.
2
Let a = 596 - 584. Solve 0 = -5*x, 5*x - a = 5*r - 2 for r.
-2
Let x be ((-42)/(-7) - 7)*0. Solve x = 4*n + z - 11, -4*n + 5*z = -0*z + 7 for n.
2
Suppose -5*i = 5*i - 10. Suppose 0 = o - i - 1. Solve -o*h = h - y - 6, 17 = 5*h - 4*y for h.
1
Let q be 2367/81 - (-2)/(-9). Let b(c) = 4*c - 2. Let n be b(-6). Let h = n + q. Solve 4*j + 5*y - y + 16 = 0, h*y = 4*j - 19 for j.
1
Suppose -6*s + 4*s - 4 = 0. Let r be (-38)/10 + s/10. Let o(b) = -4*b - 5. Let c be o(r). Solve -a + 13 = -2*m + 4*a, -2*m + 3*a = c for m.
-4
Let k = -814 - -824. Solve -13*b = -k*b + 5*o, -3*b - 2*o = 0 for b.
0
Let n(m) = m**3 + 22*m**2 - 23*m + 10. Suppose 0*t = 6*t + 138. Let v be n(t). Solve v = k + 2*a, -4*a + 10 = -3*k - 2*a for k.
0
Suppose 107*l - 24 = 103*l. Solve 5*n + 2*w - 3 = l*w, 4*n - 4 = 4*w for n.
-1
Let y(g) = 6*g - 63. Let w be y(11). Solve p - 25 = 4*a, -15 = w*p - 6*p for a.
-5
Let k = -347 - -351. Solve 3*q + 13 = 3*n - 7*n, -2*q = -k*n + 2 for n.
-1
Let c be (-42)/(-70) + (-22)/(-5). Suppose g - c*v = -8, -v + 0*v = 2*g - 6. Solve o = d + 8, 4*d - g*o + 24 = -0*d for d.
-4
Suppose 15*c = -2*c + 34. Solve 0 = 2*b - a - 6, -3*a + 12 = 4*b + c*a for b.
3
Let l = 47 + -44. Suppose h + 6 = -2*i, 0 - l = -3*h + i. Solve o + 1 = 3*u, h*u = 4*o - 3*u - 5 for o.
2
Let n = -172 + 172. Solve k + m - 2 = n, -3*k + 12 = -k - 2*m for k.
4
Let s = 7 + -5. Let q be (-58 + 51)/((-1)/2*2). Solve 4*p - s*n - 31 = -5, -n + q = 2*p for p.
5
Let v = -94 - -95. Solve -5*i + 3*n + v + 24 = 0, -17 = 4*i + 5*n for i.
2
Let s(h) = -h**3 - 2*h**2 + 2. Let u = 33 - 33. Let g be s(u). Solve 0 = -5*y - g*l + 28, 3*l - 33 = -4*y - 5 for y.
4
Let b = -867 - -890. Solve -3*k + 7 = -r - 3*r, 3*k - b = -4*r for r.
2
Suppose -29 = -4*k - a + 22, 5 = -a. Let n(i) = -10 + 0*i - 2 - 16*i - 5*i. Let f be n(-2). Solve -f = 5*b - 5*c, -4*c = -b + 2*b - k for b.
-2
Let y be ((-2635)/(-34))/31 + (-10)/(-4). Solve 5*w = -3*d - 29, 6*d = y*d + 3*w + 9 for d.
-3
Suppose 0 = -2*y + 32 - 26, 4*j - 2*y - 2 = 0. Solve 5*a = -3*q + 5, j*q - 2*a + 2 = -q for q.
0
Let d be 4/21*175/(-150)*-9. Solve 3*a + 10 = 5*g - 0*a, g - 3*a - d = 0 for g.
2
Let g(c) = -c**3 + 18*c**2 - 43*c - 20. Let k be g(15). Solve 5*h - k = -0*h + 2*d, 1 = 4*h - 3*d for h.
4
Let w be (-10)/405*-9 - (-230)/18. Solve -4*r - 2 + w = x, -4*x + 10 = -r for r.
2
Suppose 4*m + 11 = 3*l, -18 = -l + m - 14. Solve l*f = -d, -d = d + f for d.
0
Let f(k) = -k**3 - 2*k**2 + 10*k + 10. Let v be f(-4). Solve 3*n + 5 = -l, -2*n + v*l - 6 = -0*n for n.
-2
Let a(o) = -8*o + 2. Let p be a(4). Let x = p + 34. Solve -5*n + x = -2*y - 1, n + 4*y = 23 for n.
3
Suppose -5*z = -5*f + 50, 2*z + 10 = -0*z + 4*f. Let b = z + 19. Solve -4*k = -5*k + 4*v + 4, -b*k + 5*v = -5 for k.
0
Suppose 0 = -k + 10. Suppose -14*n + 24*n = k. Solve -2*t + 16 = 4*l, -3*t - 7 = -n for l.
5
Let j = 1134 + -1129. Solve -5*p + j*i = 0, -2*i - 2*i - 3 = -3*p for p.
-3
Suppose -x = -5*x. Let s(i) = -i + 6. Let g be s(5). Let r be 1 - (g - -1 - 4). Solve 5*w = -r*o + o + 1, -2*o - w - 3 = x for o.
-2
Let t be (((-3)/(-4))/(-1))/(168/(-448)). Let r = 9 - -5. Solve 3*i + r = -3*f - 2*f, 0 = f - i - t for f.
-1
Let o be (-8)/(-6) + (-2)/(-3). Suppose 153 = 2*i + 15*i. Suppose 9 = r - i. Solve -4*u - 2*b - r = -0*b, -o*u - 6 = 4*b for u.
-5
Let o = 666 - 663. Solve 0 = -y + b, 0*y = o*y + b - 12 for y.
3
Let d = -1132 - -1133. Solve 2*p - d - 4 = -q, p - 16 = -5*q for p.
1
Let a(f) = -f**2 + 13*f + 3. Let x be ((-8)/(-16))/(2/52). Let k be a(x). Let m be 7/(-2 - -3) + -2. Solve 3*n - m*n - 3 = -5*v, 2 = 5*n - k*v for n.
1
Let o(f) = 20*f**2 - 53*f - 14. Let z be o(3). Solve 0 = l - 0*l + 3, u = l + z for u.
4
Let l(h) = h**3 + 13*h**2 + 35*h - 5. Let t be l(-9). Solve -t*c = 5*f + 22, -f = c - 5*c - 10 for f.
-2
Suppose -5*s = -11*x + 12*x - 15, -3 = 3*s + 3*x. Solve -z = -2*r - 5, 4*z - s*r + 3 = 19 for z.
3
Suppose -51 = 5*v + 44. Let y = 23 + v. Solve 0 = -j + 4*t + 17 - 3, -y*j - 20 = 3*t for j.
-2
Suppose 3*o + 1 = -8, 12 = 3*j - 2*o. Solve -10 = -j*i, 5*t - 6*t - 17 = -3*i for t.
-2
Let v(h) = -2*h + 14. Let k = 55 - 48. Let l be v(k). Solve -5*p - 9 = -4*n, 3*p = -l*p + 4*n - 7 for p.
-1
Suppose -7 = 4*w - 19. Suppose 0 = l - w. Let n = 4 - 2. Solve 2*f + l*r = -4, n*f + 4*r - 2*r + 6 = 0 for f.
-5
Let s = 9 - 4. Let o be (29 + -31)*1/(2/(-2)). Suppose -14 = -3*k + 2*k. Solve -2*y + 9 = -o*l + y, 3*l = s*y - k for l.
-3
Let o = 732 - 729. Let z(k) = 2*k - 8. Let q be z(6). Let c(r) = r**2 - 4*r. Let x be c(q). Solve 4*y + 24 = -j, x = 5*y - 4*j + 12 - o for y.
-5
Suppose -5*s + 3*c + 35 = 0, -2*s + 5*c + 3 = -30. Let k be (-1 - s)*(-9 + 8). Solve n + 4*i = -0*i + 15, -k*n - 3*i - 10 = 0 for n.
-5
Let t(k) = -k**2 - k + k - 3*k + 2 + 0. Let p be t(-3). Suppose 0 = 4*a - p - 6. Solve m + a*r = -9, 2*m = -m + 5*r + 28 for m.
1
Suppose -24 = -102*r + 96*r. Solve -2*s + 18 = 5*n, -2*n - 8 = -5*n - r*s for n.
4
Suppose 0 = f + 3, -21*d = -22*d - f + 5. Solve 18 = 5*c + 4*z, -5*c - 3*z + d = -8 for c.
2
Suppose 3*i - 5*x + 6 = -8*x, 5*i + 3*x + 6 = 0. Solve 0 = -4*g - 6 - 6, 5*t - 3*g + 6 = i for t.
-3
Let k = 71 - 68. Solve -k*x - 4 = x - 4*n, x + 2*n = 11 for x.
3
Suppose -7*x + 3*x + 12*x - 40 = 0. Let f(w) = -w**3 - 2*w**2 - w + 1. Let j be f(-2). Solve -5*m = -5*g - 39 + 4, x*m + j*g = 11 for m.
4
Let t = 28 + -25. Solve -9 = -7*a + 4*a, 4*r + t*a = -11 for r.
-5
Let p be 5 - ((1 - 1)/(-1))/(-2). Let y(g) = -g**2 - 13*g + 16. Let t be y(-14). Solve 2*v = 3*h - t, -p*h - 2*v - 18 = -0*h for h.
-2
Let q(r) = 10*r**2 - 26*r. Let x be q(3). Solve -x = -2*a - 2*j, 3*a = -0*j + 5*j + 10 for a.
5
Suppose -145 = 5*j - 5*k, k = -4*j - 40 - 51. Let u be (-3 + 2)/((-4)/j). Let z be 4/(-8) - 123/u. Solve 3*f + n - 15 = 2*n, 4*f - z = n for f.
5
Let y(g) = -1. Let m(r) = r + 4. Let z(l) = -m(l) - 6*y(l). Let k be z(11). Let o = 11 + k. Solve -5*s + 5 = 5*w, -o*w - 14 = -5*s + 19 for s.
5
Let p be (-6)/((-45)/12 + 3). Let y(i) = -i**3 + 7*i**2 + 8*i + 5. Let d be y(p). Suppose 10*t - 20 = d*t. Solve 5*l - 14 = j, -j = 2*l - t*l + 8 for j.
-4
Suppose 0 = -2*u - 2*u + 160. Suppose 0 = -6*t + 108. Let w = u - t. Solve -4*o = -l + 3*l - w, -2*o + 5 = -l for o.
4
Let v = -750 + 753. Solve 0 = 2*k + v*w + | {
"pile_set_name": "DM Mathematics"
} |
What is the least common multiple of 2064 and 103888?
311664
What is the smallest common multiple of 2195655 and 1397235?
15369585
What is the common denominator of 181/25500 and 19/232050?
2320500
Calculate the smallest common multiple of 153531 and 315.
767655
What is the least common multiple of 1413 and 1203?
566613
What is the lowest common multiple of 6 and 126?
126
What is the smallest common multiple of 2100 and 150?
2100
Calculate the common denominator of -81/15038 and 20/219.
45114
Calculate the least common multiple of 35560 and 76.
675640
What is the common denominator of -149/118128 and -77/3312?
354384
What is the common denominator of 48/75841 and 4/834251?
834251
Calculate the smallest common multiple of 207172 and 604.
207172
What is the common denominator of -1/5013 and -61/99?
55143
What is the common denominator of -29/144 and -139/5484?
65808
Calculate the least common multiple of 19912 and 2096.
39824
What is the smallest common multiple of 84 and 872?
18312
What is the common denominator of -17/7904 and -61/9880?
39520
Find the common denominator of -5/216 and 115/864.
864
Calculate the least common multiple of 3435 and 2135.
1466745
Calculate the smallest common multiple of 84 and 1038.
14532
What is the common denominator of -5/3621 and -34/2769?
47073
Calculate the lowest common multiple of 58608 and 2376.
175824
What is the common denominator of 89/98 and -109/12012?
84084
What is the smallest common multiple of 29904 and 2184?
388752
Calculate the common denominator of -71/286821 and -119/382428.
1147284
What is the lowest common multiple of 360 and 14904?
74520
Calculate the common denominator of -65/3 and 149/73026.
73026
Calculate the least common multiple of 56 and 39774.
159096
Calculate the common denominator of 37/324448 and -47/243336.
973344
Find the common denominator of 29/2754 and -1/144.
22032
Calculate the common denominator of 37/182400 and 29/760.
182400
What is the least common multiple of 64 and 28760?
230080
What is the common denominator of 68/63 and -19/11613?
34839
What is the least common multiple of 18 and 95216?
856944
Calculate the lowest common multiple of 1032624 and 18.
1032624
Find the common denominator of 97/1366 and -14/85.
116110
Calculate the lowest common multiple of 31278 and 2005.
156390
Calculate the smallest common multiple of 2322 and 3698.
99846
Calculate the least common multiple of 309 and 58.
17922
Find the common denominator of -37/642168 and 56/9.
642168
What is the common denominator of -1/7008 and -17/12?
7008
Calculate the common denominator of -85/5334 and -31/210.
26670
Calculate the least common multiple of 26906 and 2.
26906
What is the common denominator of -25/1083 and 32/915857?
2747571
Calculate the common denominator of 167/24150 and 41/700.
48300
What is the smallest common multiple of 8 and 194097?
1552776
What is the lowest common multiple of 22 and 8932?
8932
What is the smallest common multiple of 1248 and 85200?
2215200
Calculate the common denominator of 101/650480 and 13/25.
3252400
What is the smallest common multiple of 698607 and 15?
3493035
What is the common denominator of 9/976948 and 70/123?
2930844
Calculate the common denominator of -39/5920 and 53/47952.
479520
Find the common denominator of 11/336 and 83/22928.
481488
What is the common denominator of 131/65800 and 89/15400?
723800
What is the smallest common multiple of 437625 and 200?
3501000
What is the common denominator of -163/126 and 107/13706?
123354
Find the common denominator of -57/28696 and -9/104023.
832184
What is the lowest common multiple of 12740 and 31850?
63700
Calculate the lowest common multiple of 514964 and 14.
3604748
What is the common denominator of 161/3102 and -95/3384?
37224
What is the smallest common multiple of 713 and 2047?
63457
What is the lowest common multiple of 3752 and 5?
18760
Calculate the least common multiple of 104192 and 3256.
104192
What is the least common multiple of 159244 and 7?
1114708
Calculate the least common multiple of 20448 and 1136.
20448
What is the smallest common multiple of 554895 and 10?
1109790
Calculate the common denominator of 21/41656 and 22/2931541.
23452328
What is the lowest common multiple of 20410 and 34540?
449020
Calculate the smallest common multiple of 20973 and 204.
1426164
Calculate the least common multiple of 1882 and 2.
1882
Find the common denominator of -61/79260 and -32/99075.
396300
What is the lowest common multiple of 102 and 10958?
558858
Find the common denominator of -91/20 and -99/4970.
9940
What is the lowest common multiple of 24453 and 135?
366795
Find the common denominator of -15/232 and -31/1856.
1856
Calculate the lowest common multiple of 7018 and 3828.
42108
Calculate the least common multiple of 6 and 1863.
3726
Calculate the common denominator of 5/272 and -41/19040.
19040
Find the common denominator of -49/45 and -43/5751.
28755
Calculate the smallest common multiple of 179802 and 30.
899010
Calculate the least common multiple of 2100 and 23550.
329700
What is the least common multiple of 30648 and 38310?
153240
What is the common denominator of -35/8 and -37/122272?
122272
Calculate the least common multiple of 136 and 101360.
1723120
What is the smallest common multiple of 28116 and 3124?
28116
Find the common denominator of -61/546522 and -23/4.
1093044
Calculate the lowest common multiple of 1995 and 93975.
1785525
What is the common denominator of -95/231 and 26/907935?
9987285
Calculate the common denominator of -29/30 and -139/27840.
27840
What is the lowest common multiple of 4734 and 891?
468666
Find the common denominator of 1/27 and 2/29229.
263061
Find the common denominator of -65/47724 and 53/2.
47724
Find the common denominator of 95/156892 and 32/61.
156892
Find the common denominator of -5/12342 and -131/7854.
86394
What is the common denominator of -79/8 and 7/892936?
892936
What is the lowest common multiple of 252675 and 135?
758025
Calculate the lowest common multiple of 1955596 and 10.
9777980
Calculate the least common multiple of 1285153 and 92743.
8996071
Calculate the common denominator of -23/5 and 44/21375.
21375
Calculate the least common multiple of 99666 and 185094.
1295658
Calculate the common denominator of 103/644 and -67/238856.
38455816
What is the smallest common multiple of 14553 and 693?
14553
What is the smallest common multiple of 55562 and 130?
277810
What is the least common multiple of 11822 and 230?
59110
What is the lowest common multiple of 40 and 7480?
7480
Find the common denominator of 7/398 and -32/203.
80794
What is the least common multiple of 20 and 160600?
160600
Calculate the common denominator of 143/60 and 37/1668.
8340
What is the smallest common multiple of 1592475 and 595?
11147325
Calculate the smallest common multiple of 2812 and 361.
53428
What is the common denominator of 41/22719 and -5/63?
477099
Find the common denominator of 58/34699 and -44/84269.
589883
Find the common denominator of -139/354648 and 101/768404.
4610424
What is the least common multiple of 4495 and 1275?
1146225
What is the common denominator of 137/17244 and -145/17244?
17244
What is the common denominator of 99/3952 and -55/192?
47424
Calculate the common denominator of 7/5064 and 115/84.
35448
What is the least common multiple of 3960 and 960?
31680
What is the lowest common multiple of 2 and 3958?
3958
Calculate the smallest common multiple of 66162 and 30.
330810
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228240
Calculate the lowest common multiple of 28070 and 30877.
308770
Calculate the lowest common multiple of 43894 and 56.
1229032
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4256
Calculate the smallest common multiple of 14820 and 8892.
44460
What is the smallest common multiple of 34340 and 6?
103020
Find the common denominator of 64/3315 and -98/76245.
76245
Calculate the least common multiple of 42042 and 7.
42042
What is the lowest common multiple of 542400 and 81360?
1627200
What is the least common multiple of 885 and 79020?
4662180
Calculate the common denominator of -1/5838 and -125/2502.
17514
Calculate the smallest common multiple of 15210 and 22815.
45630
Calculate the common denominator of 46/9831 | {
"pile_set_name": "DM Mathematics"
} |
9. Is ((-5)/3 - 0)*w a composite number?
True
Suppose 4*o = 2 + 18, 0 = y - 5*o + 22. Suppose y*x + z - 18 - 44 = 0, 4*z - 38 = -2*x. Is x a composite number?
True
Suppose -2*t = 3*s + 14, -3*s - 2 = -t - 0. Let h(a) = -a**2 + 86*a - 1. Let c(v) = -17*v. Let i(q) = s*h(q) - 11*c(q). Is i(-13) composite?
True
Let z(x) = -x**2 + 4*x + 2. Let a be z(3). Suppose 3*m = -a*y + 3970, -4*y + 915 = 2*m - 2259. Is y composite?
True
Let m(o) = -31*o**2 + 10*o + 4. Let l(p) = -31*p**2 + 9*p + 3. Let w(y) = -7*l(y) + 6*m(y). Is w(2) composite?
True
Let c = 10 - 5. Suppose -5*b + c*l - 2*l = -82, 2*b = -5*l + 8. Is b composite?
True
Let y = 479 + 1622. Is y prime?
False
Suppose -4*z + 31 = 11. Suppose -5*p - s + 62 = -6, -74 = -z*p + 2*s. Is p composite?
True
Let t = -16 + 17. Is (-203*t)/(3 + -4) composite?
True
Let b = 23 + 19. Is b/(-4)*24/(-36) a prime number?
True
Suppose -w + 20 = w. Let m = w - 6. Suppose 0 = -m*c - c + 115. Is c a composite number?
False
Suppose 0 = -3*c + 5*p - 6*p + 997, 4*p + 1308 = 4*c. Is c prime?
True
Let d = 1411 + -577. Is 18/12*d/9 prime?
True
Let k = -5 + 7. Suppose k*y = 6*y - 16. Suppose -57 - 75 = -y*a. Is a prime?
False
Let z(d) = -3*d**2 + 9*d + 4. Let c be z(4). Let x(u) = 5 - 6 + 2*u**2 + u + 8. Is x(c) composite?
False
Let h(g) = 12*g + 3. Is h(4) a prime number?
False
Let o(k) = -133*k - 44. Is o(-7) a composite number?
False
Suppose -4*h = 4*g - 8, 0 = 4*h - 3*g - 3 - 12. Suppose -3*z - h*n + 879 = 0, -1796 = -5*z - 2*n - 343. Is z a composite number?
True
Let v(a) = 8*a**2 - 11*a + 8. Is v(-9) composite?
True
Is ((-4)/(-2))/(4/212) a composite number?
True
Is -335*(-4)/(6 + -2) a prime number?
False
Suppose 3*x = -2*p - 254, 0*p - 5*p = x + 63. Suppose -30*h = -32*h + 318. Let d = x + h. Is d prime?
True
Let a(t) = t**2 + 6*t - 6. Is a(-9) a prime number?
False
Suppose 0 = 7*o - 2*o - 530. Is o prime?
False
Suppose -5*b = 5*f + 5, -4*f - 5*b = 1 - 0. Let a be f + 1 - (-4 - -6). Is 1/a + (-152)/(-10) a composite number?
True
Let j = 34 - 0. Suppose -5*d - 2*i = -153, 4 = -d - i + j. Is d a composite number?
False
Suppose -2*l - 543 = 5*h, 5*l + 4*h = -0*h - 1400. Let v = -115 - l. Let n = v + -92. Is n composite?
True
Let s(g) = 2*g**3 - 3*g**2 + 4*g - 1. Let x be s(5). Is (28/(-8))/((-1)/x) a prime number?
False
Let v be 12/7*(-7)/(-2). Suppose 4*x - v = o + 6, -4*x + 20 = o. Suppose -o*m = m - 325. Is m a prime number?
False
Suppose -2*t - 2*r = -2164, 2*r - 3*r + 2169 = 2*t. Is t prime?
True
Let a(p) = p**2 + p - 19. Is a(25) composite?
False
Let a(r) = 5*r**2 + 16*r - 14. Let k be (-14 - -2) + 0 + -1. Is a(k) prime?
False
Let p be 72/(-27)*171/4. Is (1*3)/((-18)/p) prime?
True
Suppose -2*b = -5*y + 43, -3*b - 27 + 8 = -y. Suppose -y*s = -3*s - 8. Suppose s*r + 5 = 2*c + 51, 0 = 5*r + 2*c - 129. Is r a prime number?
False
Let y(p) = -p - 5. Let u be y(-7). Suppose 0 = -3*d + u*z + 137, 3*z - 41 = -2*d + 59. Is d a composite number?
False
Let n(w) = 4*w**3 - 1 + 10*w - 3*w**3 - 11*w. Let d(o) = -o**3 + 5*o**2 - 2*o - 1. Let y(k) = -d(k) - 2*n(k). Is y(-6) a prime number?
False
Suppose j = -v + 3833, -3*v + 20968 = 4*j + 5636. Is j composite?
False
Let l be -4 + (-2 - (2 + -4)). Let a(m) = 5*m**2 - 4*m + 2*m + 2 + 6*m + m**3. Is a(l) prime?
True
Let g = 120 + -206. Let h = g - -289. Is h a prime number?
False
Let k = -3 + 7. Let l be 15/2 + 2/k. Suppose 3*a = -l + 122. Is a a composite number?
True
Let l(m) = 21*m**2 + 7*m + 11. Is l(-7) a composite number?
False
Is ((-6)/(-5))/(4/70) a composite number?
True
Suppose 0 = 5*c - 0*c - 25. Suppose -h = 2*p - 23, -h - c*p = -0*h - 29. Is h prime?
True
Is (-1206)/(-4)*(-8)/(-12) prime?
False
Let g = -4 - -7. Let l be (-2)/(-1) + 6/g. Suppose 435 = l*f - f. Is f composite?
True
Let y(r) = -r**3 + 12*r**2 - 11*r - 6. Let z be y(8). Let h = -33 + z. Is h a prime number?
False
Suppose -4*s + 813 = 2*j - 9*s, -1666 = -4*j + 2*s. Is j a prime number?
True
Suppose -2*w - 4 = 0, -5*o = -w - 17 - 10. Let c(i) = 16*i + 6. Is c(o) composite?
True
Suppose 481 + 703 = 4*w + 3*s, 3*w + 2*s = 887. Is w a composite number?
False
Let w be 27/(-5) + (-10)/(-25). Let a(z) = z**2 + 6*z + 5. Let t be a(w). Suppose -68 = -5*b + 5*h + 272, t = 2*b + h - 139. Is b a composite number?
True
Let u(k) = -2*k - 9. Let b be u(-6). Suppose d = -0*d + b. Suppose -2*n + 57 = d*s, n = 4*s - 1 + 2. Is n a composite number?
True
Let m(f) = 118*f**2 - 3*f + 2. Is m(-3) a composite number?
True
Let l(k) = -3*k + 9*k + 4*k + 0 - 1. Is l(5) prime?
False
Suppose i = -0*i + 191. Is i a composite number?
False
Let c be 2/((-2)/20*-4). Suppose -c*y + 2*y + 741 = -3*z, 4*y - z = 988. Is y prime?
False
Let y(f) = 15*f**2 + 18*f - 23. Is y(7) prime?
False
Let t(l) = 1193*l**2 - 2*l - 2. Is t(-1) prime?
True
Suppose -4*c + f = -2*c - 5870, -3*f - 12 = 0. Is c composite?
True
Suppose -4*w = -4*z - 2444, 2*w - 1835 = -w + 2*z. Let s = 920 - w. Is s a prime number?
True
Suppose 66*h = 65*h + 877. Is h prime?
True
Let h = 1257 - 692. Is h composite?
True
Is (3 - 1)*(-7788)/(-24) a composite number?
True
Let n = -6 + 9. Suppose 18 - 1 = 2*i + n*h, i - 2 = 5*h. Is i a composite number?
False
Let k(q) = 47*q - 1. Let m be k(7). Suppose 0 = g - 78 + m. Let j = -135 - g. Is j composite?
True
Let t(u) = -3*u**3 - u**2. Let v be t(-1). Suppose -61 = -3*k + v*k. Let n = k - 36. Is n a composite number?
True
Let c(a) = -27*a**3 + 6*a**2 + 11*a - 1. Is c(-6) a prime number?
True
Let n(i) = i**3 + i**2 + 6*i - 3. Is n(5) prime?
False
Let p = 75 + 24. Suppose w + 381 = 5*w + 5*o, -2*o = w - p. Is w composite?
False
Is 818*(9/(-6) + 2) a prime number?
True
Suppose 4*t - 3*t = 0. Suppose 0*n + 5*n - 50 = t. Is n a prime number?
False
Let p(j) be the first derivative of -j**3/3 - 13*j**2/2 - j - 6. Is p(-8) composite?
True
Suppose 8 = 2*p - 0*p. Suppose p*t = 9*t - 3205. Is t a composite number?
False
Let t be (-10)/2*(-6)/(-10). Is t/(236/124 + -2) prime?
True
Let c = 115 - 50. Is c a prime number?
False
Suppose 2*g = -3*v + 762, -508 = -2*v - 0*g - 3*g. Is v composite?
True
Suppose 0*u + u = -78. Is (-4)/6*u/4 a composite number?
False
Let r be (-10)/(-3) - 2/6. Suppose -5*j = r*n - 53, 45 = j + 3*j + 5*n. Is j a composite number?
True
Let p(o) be the third derivative of -o**6/40 + o**5/60 - o**4/24 + 2*o**3/3 + 2*o**2. Is p(-3) composite?
False
Let f be 30 + (-1 - (3 + -2)). Suppose 8 = -4*n + f. Suppose -z + 14 = -n. Is z composite?
False
Let q(v) = 25*v**2 + 7*v - 1. Is q(-4) a composite number?
True
Let g be 1/2 - (-63)/(-6). Let p be (58 - -2)*(-4)/g. Suppose -38 - p = -2*h. Is h a prime number?
True
Let d(g) = 2*g + 1. Let x be d(1). Suppose -2*a - l + 164 = 0, -3*l - 150 = -x*a + 105. Is a a composite number?
False
Let q(o) = -o**3 + 2*o + 1. Let t be q(2). Let k be 6/4 + t/(-6). Suppose s - k*n + 4*n - 43 = 0, -n - 34 = -s. Is s a composite number?
False
Let n(k) = -191*k - 6. Let s be n(-4). Let c = s - 370. Suppose -y + 2*d = y - 156, -5*y = -3*d - c. Is y a composite number?
True
Let f = -2415 - -7036. Is f composite?
False
Suppose -t = 4*t - 14815. Is t a composite number?
False
Suppose 2 = 2*f + i - 4, -3*f + i + 4 = 0. Suppose -f*h = -0*k + 2*k - 82, -146 = -4*h + 2*k. Is h a prime number?
False
Suppose 0 = -n + 3 + 186. Suppose 5*v + 4*z - 430 = 0, -n + 10 = -2*v - 3*z. Is v a prime number?
False
Suppose 0 = -8*u + 11488 + 4296. Is u a composite number?
False
Suppose -46 = f - 209. Is f a prime number?
True
Suppose 2*m + h = 3*m - 14, 4*m - 56 = -5*h. Suppose 135 = -2*l + 5*l. Let j = l - m. Is j a composite number?
False
Suppose 2*n - 3*n + 182 = 0. Let y = n - 115. Is y composite?
False
Let x be -1*1/1 + 7. Suppose 0 = 2*y - x*y + 4. Is (-1)/(y/(-182)*2) prime?
False
Let t be -16 - -73 - 1*3. Let i = t + -20. Is i composite?
True
Suppose -2*g + 353 = 135. Is g a composite number?
False
Is 12036/5 + ((-279)/45 - -6) a prime number?
False
Suppose 0 = -5*c + 3*c + 56. Suppose k - c = 10. Is k prime?
False
Let u be 50/6 - 8/(-12). Let r be (0/2)/(8/(-4)). Is u - (-1 + r - -3) a prime number?
True
Is 143 + 1 - (3 - 0) a composite number?
True
Let f = 32 + 32. Suppose -4*p - 2*a + f = -9*p, 2*a = 4. Is p*(-1 + (-3)/12) composite?
True
Let k = 57 + -53. Let p be ((-149)/(-2))/(2/12). Suppose p = k*z - z. Is z a pri | {
"pile_set_name": "DM Mathematics"
} |
-4
Solve s + 4 = -0*s for s.
-4
Solve -46*r + 86 = -6 for r.
2
Solve -8 = -3*h - 5 for h.
1
Solve -5*t + 8 = 23 for t.
-3
Solve 0 = -2*h - 4*h + 18 for h.
3
Solve 98*j - 168 = 126*j for j.
-6
Solve 0 = 24*d - 20*d + 20 for d.
-5
Solve 19 = d + 18*d for d.
1
Solve 23*q - 130 + 107 = 0 for q.
1
Solve -69*m + 104 = -95*m for m.
-4
Solve 0 = 111*c - 721 - 278 for c.
9
Solve 2*a + 11 = 7 for a.
-2
Solve 12*g + 0*g = -12 for g.
-1
Solve -15 + 21 = -3*f for f.
-2
Solve 27 = -6*m + 3 for m.
-4
Solve 22*r = 139 - 51 for r.
4
Solve -3*n - 24 = 21*n for n.
-1
Solve -34*t + 118 + 52 = 0 for t.
5
Solve -23*r = 124 - 170 for r.
2
Solve -25*p = 24*p - 294 for p.
6
Solve -10*f + 1 = 1 for f.
0
Solve 1 = 86*o - 87*o for o.
-1
Solve 9*n - 17 = -35 for n.
-2
Solve 0 = -15*k - 37 - 8 for k.
-3
Solve 0 = 18*y - 667 + 505 for y.
9
Solve -6*t + 7*t = 1 for t.
1
Solve -9*l + 42 = 87 for l.
-5
Solve -76*z + 23*z = 371 for z.
-7
Solve -8 = -39*y + 41*y for y.
-4
Solve 50*t - 72*t = 88 for t.
-4
Solve p - 2*p - 3 = 0 for p.
-3
Solve 110 = 46*x - 24*x for x.
5
Solve 43*y = 4*y - 234 for y.
-6
Solve i - 110 + 101 = 0 for i.
9
Solve 2211 - 2177 = -17*y for y.
-2
Solve l = -217 + 217 for l.
0
Solve -13*k + 10*k - 6 = 0 for k.
-2
Solve -1198*r + 60 = -1183*r for r.
4
Solve 70*z - 77*z + 14 = 0 for z.
2
Solve -247 + 244 = t for t.
-3
Solve 0 = -15*o + 14*o + 3 for o.
3
Solve -259*j + 254*j - 10 = 0 for j.
-2
Solve -18*i + 28*i + 10 = 0 for i.
-1
Solve -28*i + 3 = -25*i for i.
1
Solve -19*i + 54*i + 105 = 0 for i.
-3
Solve -27*y = -24*y - 9 for y.
3
Solve 4 = -5*z + 9*z for z.
1
Solve -32*x = -19*x - 11*x for x.
0
Solve 3 = -4*n + n for n.
-1
Solve 12*l = 10*l - 4 for l.
-2
Solve -3 = -6*c - 21 for c.
-3
Solve -x - 3*x = 8 for x.
-2
Solve 0 = -119*w + 136*w - 102 for w.
6
Solve 12*t = 44*t + 128 for t.
-4
Solve 19 + 29 = 16*p for p.
3
Solve -6 = 35*j + 169 for j.
-5
Solve 36 = 24*m - 12 for m.
2
Solve 534*s - 192 = 558*s for s.
-8
Solve 3*y + 17 = 5 for y.
-4
Solve -68 = -10*b - 128 for b.
-6
Solve 0 = 9*b - 7*b - 10 for b.
5
Solve -7*w = 305 - 333 for w.
4
Solve 0 = -t + 60 - 57 for t.
3
Solve 8 = 7*g + 29 for g.
-3
Solve 0 = 4*c - 0 - 12 for c.
3
Solve -15*i = 390 - 270 for i.
-8
Solve -143*f = -146*f - 9 for f.
-3
Solve 137*t - 148*t = -33 for t.
3
Solve -3*s = 21*s + 48 for s.
-2
Solve -19 = -4*v - 27 for v.
-2
Solve 4 = 79*h - 75*h for h.
1
Solve 23*b + 40 = -6 for b.
-2
Solve 35*c - 169 + 414 = 0 for c.
-7
Solve 0 = -20*r + 78 - 158 for r.
-4
Solve 2*o + 16 = 20 for o.
2
Solve 15 = 343*y - 348*y for y.
-3
Solve 11 - 12 = -s for s.
1
Solve -28*x + 18*x = 0 for x.
0
Solve 26*n + 40 = 34*n for n.
5
Solve 0 = -2*l - 1 + 3 for l.
1
Solve 4*i = -4*i - 8 for i.
-1
Solve 14 = -17*p + 48 for p.
2
Solve -333*t = -322*t + 33 for t.
-3
Solve -5 = 2*n + 5 for n.
-5
Solve 0 = c - 7*c - 12 for c.
-2
Solve 6 = -6*q - 6 for q.
-2
Solve -153 = 50*z + 47 for z.
-4
Solve -124*a = -137*a for a.
0
Solve -1 = -2*w - 5 for w.
-2
Solve 3*b + 0 = -3 for b.
-1
Solve 5 = 7*p - 23 for p.
4
Solve -76 = 7*h - 111 for h.
5
Solve 0*y = -y - 4 for y.
-4
Solve 12*f - 139 = -115 for f.
2
Solve 21*u - 27*u - 18 = 0 for u.
-3
Solve 7*a - 3*a = -20 for a.
-5
Solve 416*b + 30 = 413*b for b.
-10
Solve 120*k - 138*k = 108 for k.
-6
Solve -y = 3*y for y.
0
Solve -145 = -22*t + 31 for t.
8
Solve -18*z = -6*z - 48 for z.
4
Solve 676 = -129*v - 614 for v.
-10
Solve 17 = -5*u + 12 for u.
-1
Solve 16*d - 10 = 6 for d.
1
Solve -36*d + 43*d + 35 = 0 for d.
-5
Solve 2*n + 2*n = 8 for n.
2
Solve 10*u - 15*u - 10 = 0 for u.
-2
Solve -31*r + 19*r + 24 = 0 for r.
2
Solve 14*t = 16*t + 2 for t.
-1
Solve 40 - 8 = -16*i for i.
-2
Solve -38*g + 30*g = 40 for g.
-5
Solve -8*m + 32 = -16*m for m.
-4
Solve -24*u + 192 = -24 for u.
9
Solve 2*d - 14*d = -24 for d.
2
Solve 5*z + 3 + 12 = 0 for z.
-3
Solve 0 = 2*p - 16 + 24 for p.
-4
Solve 0 = 2*d - 11 + 3 for d.
4
Solve -92*z = -22*z for z.
0
Solve -6*z - 5*z + 55 = 0 for z.
5
Solve -5 = -u - 0 for u.
5
Solve -22*d + 6 = -19*d for d.
2
Solve 0 = 18*l + 5*l + 115 for l.
-5
Solve 2*y + 65 = 81 for y.
8
Solve 16*b = 19 - 3 for b.
1
Solve -123*t = -328 - 41 for t.
3
Solve 15 = 7*g + 22 for g.
-1
Solve -12*q - 28 - 32 = 0 for q.
-5
Solve 0 = -8*f + 39*f - 248 for f.
8
Solve 0 = 26*a - 45*a + 19 for a.
1
Solve -3*t + 12 = 6 for t.
2
Solve -22*h - 161 = -7 for h.
-7
Solve -4 = 7*r + 17 for r.
-3
Solve 12 = -5*p - 13 for p.
-5
Solve -18*t + 20 + 70 = 0 for t.
5
Solve -2*o + 7*o + 5 = 0 for o.
-1
Solve 12 = -2*d + 14 for d.
1
Solve 24 + 6 = 6*u for u.
5
Solve 8*y = 11*y for y.
0
Solve 0 = 13*w + 51 + 1 for w.
-4
Solve -72 = -157*q + 166*q for q.
-8
Solve 2*x = -27 + 21 for x.
-3
Solve 2*b + 11*b + 26 = 0 for b.
-2
Solve -46*o + 16 = -30*o for o.
1
Solve -7*z - 4 = 3 for z.
-1
Solve p - 90 = -92 for p.
-2
Solve 11 - 39 = -7*g for g.
4
Solve 7*j + 4 = 8*j for j.
4
Solve 0 = 56*h - 58*h for h.
0
Solve -114 = -89*u - 25 for u.
1
Solve 0 = 3*p + 65 - 71 for p.
2
Solve -52 + 42 = 10*c for c.
-1
Solve -3*o + 10 = 13 for o.
-1
Solve 43*v - 114 = 62*v for v.
-6
Solve -128*n + 130*n = -4 for n.
-2
Solve 30*f + 10*f = 200 for f.
5
Solve -55 = 15*y - 10 for y.
-3
Solve 0 = -131*q + 128*q + 3 for q.
1
Solve 779*f = 776*f + 18 for f.
6
Solve -5*o - 3 = -4*o for o.
-3
Solve 6*i - 20 = 11*i for i.
-4
Solve 182 = 13*u + 260 for u.
-6
Solve 0 = -379*b + 361*b - 90 for b.
-5
Solve 2*v + v = 3 for v.
1
Solve 14 + 6 = -4*t for t.
-5
Solve 8 + 21 = -29*q for q.
-1
Solve -10*h = -35 + 145 for h.
-11
Solve -9*h = -6*h - 6 for h.
2
Solve 0 = 4*l + 6*l + 40 for l.
-4
Solve 125*m - 48*m = 385 for m.
5
Solve 11 + 10 = -7*z for z.
-3
Solve -2*x + 76 = 17*x for x.
4
Solve 386*r = 397*r - 66 for r.
6
Solve 38*n - 50*n + 60 = 0 for n.
5
Solve 16*g + 22 = -10 for g.
-2
Solve 245 = -40*g - 35 for g.
-7
Solve -22*z + 16*z - 12 = 0 for z.
-2
Solve 6*i + 4 + 26 = 0 for i.
-5
Solve -4*x + 41*x = 222 for x.
6
Solve -19*z - 13 + 184 = 0 for z.
9
Solve 0 = 3*q - 12 for q.
4
Solve 0 = 5*b + 22 + 3 for b.
-5
Solve 154*n - 40 = 144*n for n.
4
Solve 124 = 15*i + 124 for i.
0
Solve 14 = -68*r + 54*r for r.
-1
Solve 4*j = -j for j.
0
Solve 4900*z = 4893*z + 70 for z.
10
Solve 42*t = -11*t - 16*t for t.
0
Solve -11*w + 3*w = -16 for w.
2
Solve 0 = 2*b + 15*b + 17 for b.
-1
Solve 1 = -6*c + 13 for c.
2
Solve -28*j + 5 = -27*j for j.
5
Solve 0 = -13*s + 5*s + 24 for s.
3
Solve 28*x - 37*x = 9 for x.
-1
Solve -170*l + 4 = -174*l for l.
-1
Solve 141*n - 95 = 122*n for n.
5
Solve -2*o - 17*o - 95 = 0 for o.
-5
Solve -122*r + 143*r + 105 = 0 for r.
-5
Solve -29*g + 140 = -63 for g.
7
Solve z - 17 = -12 for z.
5
Solve 4552 = 7*v + 4580 for v.
-4
Solve 0 = 15*b - 16*b + 3 for b.
3
Solve 9 = 167*w - 164*w for w.
3
Solve 34 = 2*n + 36 for n.
-1
Solve 0 = -d - 69 + 67 for d.
-2
Solve 15*p - 27 = 33 for p.
4
Solve -19 - 53 = 36*d for d.
-2
Solve 116 - 104 = 3*o for o.
4
Solve 3*f = 4*f - 4*f for f.
0
Solve -348*k = -353*k - 10 for k.
-2
Solve 0*k - 12 = -4*k for k.
3
Solve -5*p - 197 + 207 = 0 for p.
2
Solve 697 = 11*z + 708 for z.
-1
Solve -117*f - 117 = -130*f for f.
9
Solve 3*s = -s - 12 for s.
-3
Solve -2*m = -2 + 4 for m.
-1
Solve -3*v + 402 = 390 for v.
4
Solve -147*u - 114 = -128*u for u.
-6
Solve z = 3*z + 10 for z.
-5
Solve 7*h + 2*h = 36 for h.
4
Solve -11*v - 3 - 30 = 0 for v.
-3
Solve -49*s + 520 = 79 for s.
9
Solve 26*l + 2 = 25*l for l.
-2
Solve 9*b - 4*b = 25 for b.
5
Solve -2 = -13*t + 15*t for t.
-1
Solve 18*m = 20*m for m.
0
Solve -76*l + 205 = -555 for l.
10
Solve 57*x = 53*x for x.
0
Solve -31*t = -0 + 31 for t.
-1
Solve -351 = -w - 352 for w.
-1
Solve -6*f - 1380 + 1362 = 0 for f.
-3
Solve -21*k = -33*k + 12 for k.
1
Solve -15*b = -b + 70 for b.
-5
Solve 0 = 4*t + 901 - 925 for t.
6
Solve 5 = 36*j - 31*j for j.
1
Solve 2*h + 4 = -2 for h.
-3
Solve -4 = 7*w - 18 for w.
2
Solve -13*f - 13*f + 156 = 0 for f.
6
Solve 110*q + 25 = 105*q for q.
-5
Solve -93 + 28 = -13*q for q.
5
Solve 0 = -137*x + 160*x - 92 for x.
4
Solve 0 = -18*m + 20*m + 10 for m.
-5
Solve 0*b - 78 = 26*b for b.
-3
Solve 51*c - 66*c + 30 = 0 for c.
2
Solve 89*z - 4 = 93*z for z.
-1
Solve 31 = -6*c + 1 for c.
-5
Solve -40 = 18*y + 68 for y.
-6
Solve 26*p = 18 + 8 for p.
1
Solve 45 - 38 = -7*d for d.
-1
Solve -5*i - 6 + 16 = 0 for i.
2
Solve -18*i + 80 = 8 for i. | {
"pile_set_name": "DM Mathematics"
} |
((-10)/75)?
14
What is the remainder when (-77)/(-7) + 1133 - 3 is divided by 52?
49
Let i be 3/(-2) + (36/(-8))/(-9). What is the remainder when (-2*77/(-42))/(i/(-24)) is divided by 18?
16
What is the remainder when 33 is divided by -2*(196/(-7))/7?
1
Let t be 3 - 0 - (-3)/(-1). Let j(z) = 3 + t - 2*z**2 + 11*z**3 - 2. What is the remainder when j(1) is divided by 4?
2
What is the remainder when 6 - -1 - (-2192)/16 is divided by 77?
67
Suppose -d - 6*k + 27 = -k, -3*d + 3*k = -27. Calculate the remainder when 213 is divided by d.
9
Let b(x) = 8*x - 74. Calculate the remainder when 61 is divided by b(10).
1
Suppose q = 4*w - 61, 0*q + w = 2*q + 87. Let j = -30 - q. What is the remainder when 52 is divided by j?
8
Suppose 411 = 17*z - 2785. What is the remainder when z is divided by 48?
44
Let v = 268 + -77. What is the remainder when v is divided by 13?
9
Let o be (-1)/2 - (-76)/8. What is the remainder when 31 + (-3)/o*0 is divided by 2/(-2*(-4)/32)?
7
Let q = -688 - -695. What is the remainder when 241 is divided by q?
3
Let d(n) = n**3 + 21*n**2 + 16*n + 77. Calculate the remainder when d(-20) is divided by 82.
75
What is the remainder when (2/2 + -18)*-2 is divided by (8 - 26)*(-3)/6?
7
Suppose -2*u - 346 = -4*b, u + 247 = 3*b + 2*u. Suppose 6*q - b = 36. Let o = 105 + -48. Calculate the remainder when o is divided by q.
17
Let i be (-1*1)/(8/(-48)). Let x(h) = 3*h - 12. Let n be x(i). Let p = n - 5. Calculate the remainder when 2 is divided by p.
0
Let p = -30 - -48. Let c be ((-8)/12)/((-4)/78). Let l = p - c. What is the remainder when 13 is divided by l?
3
Let c(b) = -5*b - 201. Let q = -2 - -8. Calculate the remainder when q is divided by c(-41).
2
Let m(b) = b**3 - 11*b**2 - 14*b + 1. Let o be m(12). Let k = -13 - o. What is the remainder when 38 is divided by k?
8
Suppose 8*t - 8 - 8 = 0. Let m(v) = v - 2 + 13*v**t + 4*v - 2*v. Calculate the remainder when 27 is divided by m(1).
13
Suppose 4*p - 4*v = 592, 0*v + 595 = 4*p - 5*v. Calculate the remainder when p is divided by 3.
1
Let d = -15 - -73. Let f = 23 + -11. Calculate the remainder when d is divided by f.
10
Suppose 2*u - 5*u + 57 = 0. Let y be (-2)/(0 - (-4)/102). Let g = 4 - y. What is the remainder when g is divided by u?
17
Suppose -t = 3*y - 226, 4*y + t - 308 = 3*t. Suppose -n - 9 = -35. What is the remainder when y is divided by n?
24
Suppose 3*s + 28 = 5*s. What is the remainder when s is divided by 2/(-6) + 50/6?
6
Let k(l) = 4*l**2 - 3*l + 1. Let n be k(3). Let p = n + -16. Suppose 4*d - 5*d + p = 0. What is the remainder when 32 is divided by d?
8
Suppose 3*c + 40 = -c. Let b be (-2)/((-25)/c - 2). Let j(f) = -2*f**3 - 7*f**2 - 4*f + 7. What is the remainder when j(b) is divided by 10?
9
Suppose -5*j = -10*q + 5*q - 125, 4*q = -4*j - 92. Calculate the remainder when (-3)/(-9) - 328/q is divided by 9.
5
Let t = -32 + 47. Suppose -3*o = -363 - 24. Let p = -41 + o. Calculate the remainder when p is divided by t.
13
Let b(m) = -m**3 + 9*m**2 + m - 51. Let r(f) = f**3 + 10*f**2 + 2*f - 10. Calculate the remainder when r(-7) is divided by b(8).
18
Let g(n) = -n + 1. Let t be g(2). Let u = t + 11. Calculate the remainder when 29 is divided by u.
9
Suppose -10*r + 0*r = -6220. What is the remainder when r is divided by 12?
10
Let m(w) = w**2 + 5*w - 9. Let l be m(-7). Suppose l*f - 18 = 7. Suppose f*g - i - 262 = -2*i, -i + 103 = 2*g. What is the remainder when g is divided by 18?
17
Suppose 2*s = 6*s - 228. Let u(x) = -21*x + 135. What is the remainder when s is divided by u(5)?
27
Suppose 87*d - 900 = 57*d. What is the remainder when 89 is divided by d?
29
Suppose -6*r - 13 + 97 = 0. Calculate the remainder when 57 + 1/(3/(-9)) is divided by r.
12
Let b = -406 + 450. What is the remainder when b is divided by 14?
2
Suppose -5*v = -4*v - 26. Suppose -v*d + 30*d - 348 = 0. What is the remainder when d is divided by 11?
10
Let j = 2 + -3. Let t(w) be the first derivative of 14*w**3/3 - w + 116. What is the remainder when 24 is divided by t(j)?
11
Suppose 6 = y - 5*h, 9 = 5*y + h - 5*h. What is the remainder when y/(-3 + 2 - (-216)/212) is divided by 14?
11
Let p = 0 - -3. Suppose 3*o - o = 4*w + 22, 4*w = 8. Calculate the remainder when o is divided by p.
0
Suppose 0 = 5*f + f. Suppose a + 12 - 53 = f. Calculate the remainder when a is divided by 9.
5
Let n be (-42)/(-98) + 627/7. Let o = n + -74. Calculate the remainder when 141 is divided by o.
13
Let w(v) be the third derivative of 0 + 1/3*v**3 + 0*v + 5/24*v**4 - v**2. What is the remainder when 48 is divided by w(3)?
14
Let v(d) = -d**2 - 3*d. Let g be v(-2). Suppose 0 = -g*a + 3*w - 38 + 189, 2*a + 4*w = 116. Let x = 34 - 11. Calculate the remainder when a is divided by x.
22
Suppose 0 = -2*q - 0*q. Suppose -3*k - 2*l + 10 + 12 = q, 5*l = -5*k + 45. Calculate the remainder when 10 is divided by k.
2
Let p(h) = 48*h**3 - h**2 + 5*h + 6. Let u(i) = 16*i**3 + 2*i + 2. Let d(v) = -3*p(v) + 8*u(v). Calculate the remainder when d(-2) is divided by 46.
44
What is the remainder when 103 is divided by 3 - (4 - 8) - -6?
12
Suppose 0 = 3*v + 272 - 821. Calculate the remainder when 369 is divided by v.
3
Let z(l) = l + 7. Let r be z(-8). Calculate the remainder when (3/2)/(1/18) is divided by -1*(1 + -9 - r).
6
Let i = 508 + -501. Calculate the remainder when 38 is divided by i.
3
Let t = 256 + -248. What is the remainder when 70 is divided by t?
6
Let s(f) = 91*f**2 + 3*f + 10. Let q be s(-3). Suppose 0*u - b = u - 260, 3*u = 5*b + q. What is the remainder when u is divided by 38?
37
Calculate the remainder when 138 is divided by (-63)/108*-100*(-6)/(-5).
68
Let q = 1137 + -1132. What is the remainder when 88 is divided by q?
3
Let k(h) = h**3 - 20*h**2 + 75*h - 80. What is the remainder when 379 is divided by k(16)?
91
Suppose -14*j - 12*j + 26 = 0. What is the remainder when 20 is divided by j?
0
Suppose -4582 = -2*k - 3936. What is the remainder when k is divided by 8?
3
Let o = -32 - 57. Let h = o + 99. Let j = -10 + 14. Calculate the remainder when h is divided by j.
2
Let n(r) = r**3 + 7*r**2 - 5*r + 5. What is the remainder when n(-6) is divided by 37?
34
Suppose 0 = 2*v + 2 - 94. Suppose -5*t = -4*y - v, 4*t - 3*y - 55 = -19. Calculate the remainder when 35 is divided by t.
5
Suppose 26 - 8 = 3*x. Let y be (-3)/((-3)/(-12) + (-2)/40). Let h = y + 18. What is the remainder when x is divided by h?
0
Let r(b) = b**3 + 6*b**2 + b + 2. Calculate the remainder when r(-4) is divided by (152/(-361))/((-4)/38).
2
Let r(v) = -163*v - 639. Let s be 5/(10/8) - 2. Let p(i) = 25*i + 1. Calculate the remainder when p(s) is divided by r(-4).
12
Suppose -5*a + 2*a + 132 = 0. Suppose -c + 4*s - 12 = -49, 2*c + 2*s - 114 = 0. Calculate the remainder when c is divided by 608/a + 6/33.
11
Let r = 2057 + -1150. What is the remainder when r is divided by 65?
62
Let b(x) = 24*x + 2. What is the remainder when b(6) is divided by 30?
26
Let p(i) = -3*i**3 - 11*i**2 - 8. Calculate the remainder when p(-5) is divided by 32.
28
Suppose 213 = v + 180. Suppose -17 = -5*f + 3*p, -4*f + 3*p + 14 - 1 = 0. Calculate the remainder when v is divided by f.
1
Let c(l) = l**3 + 8*l**2 + 2*l - 4. Let b be 5/(-15)*(-1 - -1). Let q = 8 + b. What is the remainder when c(-7) is divided by q?
7
Let f(u) = u**3 - 57. Let n be f(0). Let w = -40 - n. What is the remainder when w is divided by 11?
6
What is the remainder when 102 is divided by ((-2)/6)/((-12)/252)?
4
Suppose 0 = 6*i - 54 + 36. What is the remainder when 28 is divided by i?
1
What is the remainder when 91 is divided by (-10101)/(-312) + 3/(-8)?
27
Suppose 0 = 11*v - 1254 - 825. What is the remainder when v is divided by 32?
29
Let i(r) = 54*r**2 + 2*r + 1. Let p be i(-1). Suppose 2*k - 45 = p. Suppose 4*o - 7 = k. Calculate the remainder when 27 is divided by o.
13
What is the remainder when 61 is divided by (-1)/(-3) + -1*611/(-39)?
13
Suppose 8*a = 571 + 3493. What is the remainder when a is divided by 7?
4
Suppose r - 8 = 58. Suppose 4*s = -5*t + r, t - 2*s = -t + 30. What is the remainder when 53 is divided by t?
11
Let j(h) = 11*h**2 - 2*h + 4. Suppose 4*g - 21 + 13 = 0. Calculate the remainder when 86 is divided by j(g).
42
Let d(a) be the second derivative of -7*a**3/3 + 7*a**2/2 + 8*a. What | {
"pile_set_name": "DM Mathematics"
} |
by -16
-29/16
Calculate 252 divided by -84.
-3
Calculate -6060 divided by -10.
606
Divide -15 by -3.
5
What is -44670 divided by -6?
7445
What is 2 divided by 572?
1/286
What is 18 divided by -4?
-9/2
What is -3 divided by -109?
3/109
What is -667 divided by 1?
-667
What is -2 divided by 137?
-2/137
Calculate -1 divided by -511.
1/511
Calculate 0 divided by 58.
0
Calculate 7484 divided by -1.
-7484
744 divided by 8
93
-3 divided by -14
3/14
What is -90255 divided by -5?
18051
-3827 divided by -1
3827
19 divided by 605
19/605
Calculate -4 divided by 598.
-2/299
What is 12358 divided by 2?
6179
Calculate -18630 divided by -46.
405
What is 394 divided by -4?
-197/2
-9636 divided by -2
4818
1621 divided by 3
1621/3
102 divided by 34
3
What is -6 divided by 49?
-6/49
33 divided by 6
11/2
Calculate -942 divided by -6.
157
Calculate 1343 divided by -10.
-1343/10
Calculate -49 divided by -7.
7
What is -5 divided by 49?
-5/49
What is 1534 divided by 3?
1534/3
What is 27 divided by -27?
-1
What is 555 divided by -1?
-555
What is 23 divided by 34?
23/34
Calculate -3385 divided by 5.
-677
Divide -1 by -15.
1/15
0 divided by 12
0
6 divided by 16
3/8
-3 divided by 179
-3/179
-1 divided by -773
1/773
What is -312 divided by -6?
52
Divide -172 by 4.
-43
Calculate 110 divided by 22.
5
Divide -110 by -57.
110/57
What is -2 divided by 54?
-1/27
What is -17 divided by -277?
17/277
Calculate -181 divided by -1.
181
0 divided by -1135
0
What is -2940 divided by -84?
35
Calculate 0 divided by 28.
0
Calculate 81 divided by 9.
9
1 divided by 357
1/357
Calculate 1 divided by 20.
1/20
-3068 divided by 26
-118
What is -10668 divided by -2?
5334
Calculate -8 divided by 3884.
-2/971
What is -10 divided by -266?
5/133
Divide -2 by 8.
-1/4
What is 30 divided by -119?
-30/119
Divide -1386 by -7.
198
Calculate -2655 divided by -5.
531
Divide 110 by -22.
-5
What is 2 divided by -149?
-2/149
11 divided by -335
-11/335
What is -1264 divided by 2?
-632
What is 70 divided by 1?
70
-103 divided by -5
103/5
-1155 divided by -165
7
-2 divided by 155
-2/155
Calculate -1147 divided by -37.
31
Calculate 6080 divided by 304.
20
4005 divided by 3
1335
Calculate -78 divided by 1.
-78
Calculate 3 divided by -293.
-3/293
482 divided by -2
-241
Divide -216 by -8.
27
-13634 divided by -17
802
1900 divided by 950
2
52 divided by 37
52/37
-804 divided by -6
134
Calculate 404 divided by 4.
101
Divide -4 by -114.
2/57
What is -19880 divided by 40?
-497
Divide 3 by -5292.
-1/1764
922 divided by -8
-461/4
Calculate 176 divided by 4.
44
Calculate -41382 divided by 6.
-6897
Divide -6492 by 541.
-12
Divide 4609 by 1.
4609
What is -536 divided by -8?
67
What is -14 divided by -11?
14/11
What is -105 divided by 1?
-105
Divide -1527 by -1527.
1
128 divided by 8
16
Calculate -63 divided by 3.
-21
Calculate -2300 divided by -4.
575
Calculate 278 divided by 44.
139/22
Calculate -5110 divided by 5.
-1022
-16384 divided by 4096
-4
-257 divided by 1
-257
98 divided by -6
-49/3
Divide 4419 by -6.
-1473/2
Divide -41 by -41.
1
What is 27 divided by -9?
-3
Calculate -978 divided by 6.
-163
-783 divided by 5
-783/5
Divide 672 by -8.
-84
2 divided by 654
1/327
Calculate 5566 divided by -242.
-23
17 divided by 18
17/18
Divide 3 by 207.
1/69
What is -5 divided by 116?
-5/116
Divide 221 by -29.
-221/29
Divide 13 by 1140.
13/1140
Divide 83 by -1.
-83
124 divided by -2
-62
Calculate 3854 divided by -3854.
-1
-5 divided by -5932
5/5932
-6 divided by 167
-6/167
Divide -586 by -1.
586
-1208 divided by 151
-8
Divide 690 by -5.
-138
Divide 36 by 2.
18
What is -11125 divided by 445?
-25
What is 1332 divided by 12?
111
Calculate -1053 divided by 27.
-39
What is -12 divided by 4?
-3
51 divided by 3
17
89 divided by -4
-89/4
-16 divided by 92
-4/23
Divide 1345 by -269.
-5
Calculate -880 divided by 8.
-110
-1584 divided by -16
99
Divide -882 by 4.
-441/2
Calculate 55 divided by 5.
11
123 divided by -6
-41/2
3 divided by -205
-3/205
Calculate -36 divided by -9.
4
What is -18 divided by 1269?
-2/141
Calculate -450 divided by -3.
150
688 divided by 1
688
What is 3 divided by -75?
-1/25
-38 divided by 11
-38/11
141 divided by 3
47
Divide 28 by -4.
-7
Divide -568 by 71.
-8
475 divided by 475
1
-48 divided by -48
1
What is 36 divided by 38?
18/19
Divide -37 by 10.
-37/10
Calculate 2961 divided by 987.
3
-1752 divided by -584
3
What is -91 divided by 6?
-91/6
9309 divided by -3103
-3
Divide -54 by 2.
-27
Calculate 111 divided by 5.
111/5
-44 divided by 22
-2
Calculate 91 divided by 2.
91/2
What is 198 divided by -66?
-3
Divide -307 by 1.
-307
What is -828 divided by -18?
46
Divide 1980 by 2.
990
-217 divided by 217
-1
888 divided by 6
148
Divide 598 by -5.
-598/5
797 divided by 1
797
-378 divided by -7
54
-8 divided by -141
8/141
What is 46 divided by 757?
46/757
What is 93 divided by -19?
-93/19
2994 divided by 499
6
Divide -142 by 6.
-71/3
-149 divided by 28
-149/28
-1404 divided by 1
-1404
-19495 divided by -5
3899
Divide -2 by -1128.
1/564
Divide 68 by -22.
-34/11
129 divided by 3
43
What is 707 divided by 101?
7
Calculate 296 divided by 8.
37
Divide -226 by 25.
-226/25
Divide -32 by 32.
-1
Calculate 3388 divided by 5.
3388/5
Divide 810 by 27.
30
Divide -3 by 31.
-3/31
Divide -21252 by 924.
-23
-2 divided by 26
-1/13
Divide 4536 by -6.
-756
26 divided by 2
13
What is -3265 divided by -653?
5
Calculate -4 divided by 42.
-2/21
Divide 47 by 4.
47/4
-105 divided by 3
-35
827 divided by 4
827/4
234 divided by 2
117
-138735 divided by -5
27747
3 divided by -73
-3/73
Divide -14 by -1.
14
What is -580 divided by -1?
580
-120 divided by 2
-60
What is 2 divided by 585?
2/585
Calculate -28182 divided by 22.
-1281
-16884 divided by 2814
-6
Calculate -284 divided by -15.
284/15
What is -36 divided by 9?
-4
2 divided by -44
-1/22
726 divided by 121
6
Calculate 17683 divided by 3.
17683/3
Divide 0 by 634.
0
Calculate 7 divided by -2.
-7/2
Calculate -91 divided by -91.
1
198 divided by 66
3
Divide -1425 by 475.
-3
Divide 1992 by 4.
498
What is 40 divided by 1?
40
35 divided by -7
-5
What is 337 divided by 60?
337/60
What is 1230 divided by -3?
-410
Divide 111 by 6.
37/2
What is 275 divided by 5?
55
Calculate -1488 divided by -496.
3
Divide -32 by 16.
-2
Calculate 2412 divided by -4.
-603
Calculate 14168 divided by 4.
3542
5709 divided by 1903
3
Calculate 11 divided by -9.
-11/9
1135 divided by -227
-5
What is -9 divided by 22?
-9/22
What is -49 divided by 93?
-49/93
What is -9 divided by -25?
9/25
Calculate 2544 divided by 4.
636
Divide 11 by 2.
11/2
What is -70 divided by -1?
70
Divide -459 by 153.
-3
Divide 92 by 6.
46/3
Calculate 109 divided by -6.
-109/6
What is -2 divided by -204?
1/102
Calculate 600 divided by -6.
-100
Calculate 6 divided by 9.
2/3
What is -1 divided by -57?
1/57
Calculate -93 divided by -31.
3
Divide -15264 by -9.
1696
Divide -4 by -1388.
1/347
Calculate 253 divided by 1.
253
What is 274 divided by -6?
-137/3
What is 615 divided by -1?
-615
What is 351 divided by 9?
39
Calculate 2806 divided by -122.
-23
Calculate 24 divided by -6.
-4
What is 6 divided by 2?
3
Calculate -87 divided by -87.
1
Divide -155 by -155.
1
-175604 divided by -4
43901
What is 760 divided by 2?
380
What is -45 divided by 187?
-45/187
What is 13181 divided by 269?
49
Divide -327 by -327.
1
-3 divided by 2163
-1/721
What is 4 divided by -333?
-4/333
What is -17 divided by 1?
-17
Divide -2 by 146.
-1/73
5 divided by 205
1/41
Divide -8 by 16.
-1/2
366 divided by 122
3
What is 470 divided by 1?
470
106 divided by 7
106/7
Divide -44 by -5.
44/5
Calculate -713 divided by -1.
713
What is -1 divided by 1759?
-1/1759
Divide -2 by -1192.
1/596
Calculate 759 divided by 253.
3
Divide -725 by -5.
145
Divide 1 by -2477.
-1/2477
7 divided by -12
-7/12
-1170 divided by 18
-65
Calculate -5 divided by 189.
-5/189
2 divided by -76
-1/38
650 divided by -5
-130
1078 divided by -98
-11
Divide -1425 by 5.
-285
Divide -1 by -88.
1/88
What is -1362 divided by 2?
-681
What is 1 divided by -37?
-1/37
Calculate -3 divided by 60.
-1/20
-166 divided by 13
-166/13
Calculate 1610 divided by 1610.
1
What is -107 divided by -107?
1
Divide 22 by -4.
-11/2
Divide 784 by -28.
-28
Calculate -249 divided by -6.
83/2
Divide 1520 by 2.
760
Divide -3 by -86.
3/86
-27 divided by -1
27
0 divid | {
"pile_set_name": "DM Mathematics"
} |
= -c**3 + 3*c**2 + 3*c - 1. Let z(w) = -4*w**3 + 9*w**2 + 8*w - 3. Give 8*y(x) - 3*z(x).
4*x**3 - 3*x**2 + 1
Let n(v) = v**2 + v - 1. Let h(l) = 9*l**2 + 3*l - 4. Give h(c) - 3*n(c).
6*c**2 - 1
Let r be (12/8)/((-9)/(-60)). Let t(y) = -4*y + r*y**2 - 2*y**3 - 5*y**2 + 6*y + 3*y. Let v(i) = 2*i**3 - 6*i**2 - 6*i. Give -6*t(m) - 5*v(m).
2*m**3
Let k(a) = 3*a**2 + 2*a - 2. Suppose 3*b - 9 = -3. Let m(v) = -4*v**2 - 3*v + 3. Calculate b*m(r) + 3*k(r).
r**2
Let n(r) = 11*r**2 + 15*r + 15. Let b(u) = 5*u**2 + 11*u + 15. Let v(p) = -15*p**2 - 32*p - 43. Let c(y) = -11*b(y) - 4*v(y). Determine 13*c(i) - 6*n(i).
-i**2 + i + 1
Let l(s) = 13*s**2 + 6*s + 6. Let j(i) = -12*i**2 - 7*i - 7. What is -6*j(d) - 7*l(d)?
-19*d**2
Let l(s) = -5*s**2. Let u(p) = 2*p**2. Let o = 93 - 101. Determine o*u(g) - 3*l(g).
-g**2
Let r(k) = 5*k**2 - 5*k. Let f be 271/6 + 2/(-12). Suppose -4*m = m + f. Let o(x) = -11*x**2 + 11*x. Calculate m*r(l) - 4*o(l).
-l**2 + l
Let p(w) = -4*w**2 + 4 - 2*w - 2*w**2 + 5*w**2. Let t(g) = -2*g + 0*g - 3*g**2 + 13 - g - g**3 - 4*g. Suppose 4*m = -31 + 3. What is m*p(r) + 2*t(r)?
-2*r**3 + r**2 - 2
Let x(c) be the first derivative of 2*c**3 + 5*c + 3. Let g(b) = 11*b**2 + 9. What is -4*g(n) + 7*x(n)?
-2*n**2 - 1
Suppose 3*b + 17 = 2*r, 3*r + 0*r - 8 = b. Let y(f) = -4*f**3 - 4*f**2 - 2*f - 2. Let w(m) = -m**3 - m**2 - m - 1. What is r*y(z) - 2*w(z)?
-2*z**3 - 2*z**2
Let l(z) be the first derivative of 4*z**3/3 + z**2 + 4*z + 8. Let h be (1 - 0)*(1 + 0). Let b = h - -5. Let k(o) = -7*o**2 - 3*o - 7. What is b*k(x) + 10*l(x)?
-2*x**2 + 2*x - 2
Let m(b) = -b**3 + b + 0 - 1 + b**2 + 0. Let f(l) = -2*l**3 + 6*l**2 + 2*l - 3. Let h be (1 + 10/(-1))*(-6)/(-18). What is h*m(j) + f(j)?
j**3 + 3*j**2 - j
Let u(t) = t. Let j(h) = 2*h + 1. What is -j(y) + 5*u(y)?
3*y - 1
Let a(j) = j**2 - j. Let r = -91 - -89. Let k(s) = s**2 - 5*s + 1. Determine r*a(b) + k(b).
-b**2 - 3*b + 1
Let z(f) = -f + 3. Let l be z(-8). Let c(h) = -5*h - 3. Let y(m) = -3 + 7 + 5 + 14*m - 1. What is l*c(r) + 4*y(r)?
r - 1
Let y be (-42)/(-10) + (-40)/(-50). Let u(z) = -z**3 + 2*z**2 + 2*z - 2. Let w(k) = -2*k**3 + 5*k**2 + 5*k - 5. Calculate y*u(s) - 2*w(s).
-s**3
Let b = -53 + 48. Let q(l) = 2*l**2 - 4. Let m(f) be the third derivative of -f**5/30 + f**3/2 + f**2. What is b*m(w) - 4*q(w)?
2*w**2 + 1
Let o(r) = r + 2. Let s(c) = 3*c + 5. Suppose -17 = -3*j - 5*h, 5*j - h + 21 = 3*h. Let n be -3 + (-4)/(j + -3). Calculate n*s(b) + 5*o(b).
-b
Let h(o) = -7*o**2 + o - 8. Let a(l) = 13*l**2 - 2*l + 15. What is 6*a(f) + 11*h(f)?
f**2 - f + 2
Let c(l) = 16*l**3 - 6*l**2 - 6*l + 6. Let f(v) = 15*v**3 - 5*v**2 - 5*v + 5. Calculate 5*c(x) - 6*f(x).
-10*x**3
Let i(o) = -14*o + 8. Let f(l) = -5*l + 3. Let s(j) = -j**3 + 4*j**2 - 5*j + 3. Let u be s(3). Calculate u*i(c) + 8*f(c).
2*c
Let p(q) = 4*q**2 - 3*q - 3. Let x(f) = 6*f**2 - 5*f - 4. Give 8*p(h) - 5*x(h).
2*h**2 + h - 4
Let d = 47 + -29. Let o(n) = 3*n**2 - 3*n + 1. Let s(y) = 13*y**2 - 13*y + 4. What is d*o(c) - 4*s(c)?
2*c**2 - 2*c + 2
Let t(b) = 20*b - 3. Let w(h) = -1. Give -t(c) + 5*w(c).
-20*c - 2
Let w be (1 + 6/(-4))*0. Let s be -2 + 4 - (1 + w). Let r(u) = -u - 5. Suppose -4*j + 4 + 4 = 0, 4*j - 3 = z. Let d(q) = 1. Determine s*r(a) + z*d(a).
-a
Let c(v) = -16*v - 8. Let r(d) = 15*d + 7. Calculate 6*c(x) + 7*r(x).
9*x + 1
Let k(w) = w**3 - w**2 - w + 1. Let h(y) = 13*y**3 - 4*y**2 - 4*y + 4. Calculate 3*h(z) - 12*k(z).
27*z**3
Let x(j) = 10 + 96*j**2 - 83*j**2 - 17*j - 1. Let d(n) = -3*n**2 + 4*n - 2. Let q(v) = -v**3 - 4*v**2 + 3*v + 3. Let p be q(-4). Determine p*d(h) - 2*x(h).
h**2 - 2*h
Let x(t) = -t**2 + 3*t + 1. Let v(z) = 2*z**2 - 5*z - 1. Let i(u) = u - 7. Let s = -9 + 19. Let r be i(s). What is r*v(j) + 5*x(j)?
j**2 + 2
Let r(k) = 3*k**2 + 18*k. Let u(h) = h**2 + 5*h. Let m be 25/5 + -4 - 6. What is m*r(g) + 18*u(g)?
3*g**2
Let m(r) = 2*r**2 - 2*r - 8. Suppose -f - 3*f = 5*c - 1, c - 29 = 4*f. Let o(z) = -1. Calculate f*o(k) + m(k).
2*k**2 - 2*k - 2
Let w(a) = -a. Let h(c) = -2*c. Suppose 22 = 3*z - z + 4*b, -z - 5*b = -23. Suppose 0*k = -z*k + 6. Calculate k*h(f) - 5*w(f).
f
Let v(y) = 16*y**3 - 14*y**2 + 14*y. Let u(f) = -f**3 + f**2 - f. Give -70*u(b) - 5*v(b).
-10*b**3
Let w(h) = 26*h**3 + 17*h**2 - 17*h - 6. Let o(k) = -9*k**3 - 6*k**2 + 6*k + 2. Determine 17*o(d) + 6*w(d).
3*d**3 - 2
Let a(s) = -2*s + 3. Let z(l) = 8*l - 13. What is -26*a(h) - 6*z(h)?
4*h
Let j(a) = -a**3 + 4*a**2 + 1. Let i(y) = -y**3 + 5*y**2 + 1. Let w be (-182)/42 + 4/(-6). Let k be (-1)/((w - -1)/(-12)). Give k*i(l) + 4*j(l).
-l**3 + l**2 + 1
Suppose 2 = -2*c, -4*w = -5*c + 4*c - 17. Let p(x) = -3*x - 2 + 1 - 1. Let f(g) = -3*g + 5 + g + 9*g. What is w*f(a) + 10*p(a)?
-2*a
Let a(n) = -n - 3. Let y(g) = -g - 2. Let u be (2*(-12)/(-8))/1. What is u*y(h) - 2*a(h)?
-h
Let r(w) = 2*w - 2. Let k(f) = 1. Let i(l) = l**2 - 7*l - 13. Let o be i(9). Let h(d) = d**3 - 4*d**2 - 7*d + 9. Let v be h(o). What is v*r(p) - 3*k(p)?
-2*p - 1
Let h(s) = s**2 - 5*s + 3. Let c be h(4). Let t(j) = -j**2 - j. Let a = -38 + 28. Let k(l) = 8*l**2 + 10*l. Calculate a*t(x) + c*k(x).
2*x**2
Let p(h) = -2*h - 2. Let o(x) = -x - 8. Let a be o(-7). Let z be ((-1)/a + 2)/1. Suppose 4*m - m = z*s + 9, 0 = -m - 1. Let w(i) = 1. Give s*w(f) - p(f).
2*f - 2
Let y(h) = 2*h**3 + 2*h + 4. Let t(u) = 6*u**3 - u**2 + 6*u + 13. Give -2*t(s) + 7*y(s).
2*s**3 + 2*s**2 + 2*s + 2
Let a(h) = -h. Let i(t) = -7*t. Suppose -2*f + 2*z = 3*f + 8, -2*f - 4*z - 8 = 0. Let r = f + 6. Let n be 1/2 - 26/r. Give n*a(u) + i(u).
-u
Suppose t - 3*g + 7 = 0, -2*t - t - 3*g = 9. Let p(x) = x**2 + 2*x. Let r(m) = 5*m**2 + 9*m. Calculate t*r(c) + 18*p(c).
-2*c**2
Let k(q) be the first derivative of -q**4/4 - q**3/3 + q + 10. Let f(b) = b**3 - 2*b**2 + 2*b + 1. What is -f(i) + k(i)?
-2*i**3 + i**2 - 2*i
Let m(f) = -f + 2. Let n = -2 - 2. Let t(i) = -i + 2. Determine n*m(q) + 5*t(q).
-q + 2
Suppose x = -0*x - 2. Suppose 0 = 21*l - 29*l - 40. Let n(c) = 9*c - 5. Let u(p) = -4*p + 2. What is l*u(g) + x*n(g)?
2*g
Let i(q) = -16*q - 6. Let l(t) = -2 - 4 + 5 - 16*t + 13*t. Let y be (1/2)/1*-22. Give y*l(p) + 2*i(p).
p - 1
Let l(c) = -14*c**2 + 17*c + 20. Let k(d) = 5*d + 2. Let r be k(3). Let n(z) = 5*z**2 - 6*z - 7. Give r*n(g) + 6*l(g).
g**2 + 1
Let s(b) = -b**3 - b - 1. Let a(q) = 4*q**3 - 10*q**2 + 6*q + 6. What is -a(v) - 6*s(v)?
2*v**3 + 10*v**2
Let n(v) = 30*v + 21. Let y(l) = 3*l + 2. Suppose 0*u + 3*w = 5*u + 90, 15 = -3*w. What is u*y(o) + 2*n(o)?
-3*o
Let s(j) = -4*j - 4. Suppose 0 = -5*m + 3*m + 24. Let i be 6/m - 2/4. Suppose c + c - 10 = i, 0 = o - 5*c + 19. Let h(x) = -5*x - 5. Calculate o*h(t) - 7*s(t).
-2*t - 2
Let h(v) = -2*v + 6. Let t(i) = 3*i - 32. Let o(b) = b - 11. Let j(f) = 17*o(f) - 6*t(f). Calculate 5*h(u) - 6*j(u).
-4*u
Let w(n) = -n. Let s(p) be the third derivative of -7*p**4/24 - p**3/2 + 6*p**2. Let v(j) = -j - 1. Let o(f) = -2*s(f) + 6*v(f). Determine 3*o(y) + 21*w(y).
3*y
Let w(j) = -j**2 - j + 1. Let l(a) = 6*a**2 - 18*a + 18. Calculate l(q) - 18*w(q).
24*q**2
Let o(j) = j**2 - 4. Let w(m) = -5*m**2 + 7*m - 2. Let s(t) = -2*t**2 + 3*t - 1. Let c(q) = -7*s(q) + 3*w(q). Calculate -4*c(f) - o(f).
3*f**2
Let k(j) = -j**3 - j + 1. Let i(o) = 47*o**3 - 2. Determine -i(f) - 2*k(f).
-45*f**3 + 2*f
Let c(a) = -a**2 + 4*a + 2. Let o be c(4). Suppose -2*l - o*l = 28. Let s(n) = 6*n**2. Let t(i) = -3 + 5*i**2 + 3. Give l*t(k) + 6*s(k).
k**2
Let q = 23 + -42. Let y = 13 + q. Let x(i) = -5*i + 2. Let f(p) = p + 1. Let n(o) = -5*o - 1. Let u(g) = -4*f(g) - 2*n(g). Determine y*u(z) - 7*x(z).
-z - 2
Let s(d) = d. Suppose y + 4 = 1. Let h(q) = q - 1. Suppose 4*r = a + 2, r = 3*a - 0*a - 5. Suppose 0*n + a = n. Give n*h(t) + y*s(t).
-t - 2
Let m(o) = -2*o**2 + 5*o - 28. Let u(y) = -y**2 + 3*y - 19. What is -5*m(q) + 8*u(q)?
2*q**2 - q - 12
Let n(l) = l**2 - l. Let s(h) = -14*h**2 - 8*h + 2. Determine -8*n(k) + s(k).
-22*k**2 + 2
Let x(v) = -2*v**2 - v + 1. Let y(p) = p**2 - 1 - 2*p**2 + 2 + 4*p - 5*p. What is 2*x(m) - 2*y(m)?
-2*m**2
Let s(h) = -4*h - 7. Let p(n) = n + 1. Determine 2*p(f) + s(f).
-2*f - 5
Let b(w) = w**3 + 8*w**2 + 5*w - 9. Let g be b(-7). Let t(c) = c**2 + 1. Let u(p) = p**2 + 1. Give g*u(z) - 4*t(z).
z**2 + 1
Let u(k) = 3*k + 2. Let i be (-32)/(-10)*(-35)/(-14). Let g be | {
"pile_set_name": "DM Mathematics"
} |
lculate n(f(p)).
-304*p**4
Let f(g) = -2*g**2. Let m(c) be the second derivative of 29*c**7/2520 - c**4/4 - c**2 - 27*c + 2. Let t(v) be the third derivative of m(v). Determine t(f(a)).
116*a**4
Suppose 7*v + y = 3*v + 381, 0 = -3*y + 3. Let g(a) = -v + 184 - 87 + 18*a. Let o(n) = n. Determine g(o(k)).
18*k + 2
Let h(u) = -38*u. Let n(d) be the second derivative of d**6/180 + d**3/6 - 6*d**2 + 66*d. Let z(k) be the second derivative of n(k). Determine z(h(p)).
2888*p**2
Let p(z) = 12. Let a(g) = -2*g + 60. Let i(k) = a(k) - 5*p(k). Let t(u) = 5*u + 7. Calculate t(i(v)).
-10*v + 7
Let t(y) = -17*y - 6. Let d(q) = 51987*q. Calculate d(t(f)).
-883779*f - 311922
Let i(t) = -5138*t - 5142*t - 5132*t + 20542*t - 5134*t. Let u = 1 - -6. Let m(z) = 7 + 4*z - u. Give m(i(l)).
-16*l
Let l(m) = -72*m. Let d(b) = 2*b**2 - 24*b + 6. Let o be 0 + (14 - 7) - 1. Let u(g) = 6*g**2 - 68*g + 17. Let c(r) = o*u(r) - 17*d(r). Calculate c(l(j)).
10368*j**2
Let b(y) = -5*y. Let v(r) = 2169*r - 526. What is v(b(m))?
-10845*m - 526
Let m(g) = 28*g**2. Let y(l) = -39100*l + 78225*l - 39109*l. Determine y(m(k)).
448*k**2
Let z(m) be the second derivative of 26*m**3/3 - 288*m - 2. Let k(q) = -16*q. Determine k(z(t)).
-832*t
Let x(j) = 28 - 33*j - 2*j - 15 - 9. Let w(d) = 29*d**2. Give x(w(i)).
-1015*i**2 + 4
Let d(r) = r. Let h(p) = -3971*p + 1145. What is h(d(n))?
-3971*n + 1145
Let f(x) = -102*x**2 + 193*x**2 - 319*x**2. Let n(r) = 10*r. Determine n(f(t)).
-2280*t**2
Let n(v) = -v**2 + 105. Let g(l) = 37*l - 6547. Give g(n(t)).
-37*t**2 - 2662
Let a(h) = -5354*h + 6 - 6 + 5375*h. Let m(f) = 16*f**2. Calculate a(m(l)).
336*l**2
Let h(l) = -16780*l + 2. Let q(k) = 6*k + 3. Determine h(q(x)).
-100680*x - 50338
Let f(z) = 5*z + 6 + 13 - 19. Let o(p) be the first derivative of 4*p**3/3 + 503. Calculate o(f(v)).
100*v**2
Let f(w) = -65*w**2 - 2*w + 2. Let v(r) = 200 - 362*r - 243*r - 40 + 436 - 19635*r**2 + 9. Let b(t) = -1210*f(t) + 4*v(t). Let u(p) = 3*p**2. Calculate u(b(y)).
36300*y**4
Let j = 25 - 20. Let t(i) = -4*i + j*i + 2*i + i. Let a(c) = 5*c + 284 - 284. Calculate t(a(v)).
20*v
Let j(n) = -16*n. Let s(v) = 33*v**2 - 12*v. Let d(y) = 1914*y**2 - 693*y. Let t(l) = -4*d(l) + 231*s(l). Give t(j(h)).
-8448*h**2
Let z(f) = 68*f**2 - 1. Let r(m) be the second derivative of 17*m**3/3 - 279*m + 2. Calculate r(z(c)).
2312*c**2 - 34
Let s(q) = 4*q**2 + 30*q - q**2 - 63*q + 33*q. Let r(d) be the third derivative of 13*d**5/60 - 11*d**2. Calculate r(s(x)).
117*x**4
Let u(r) = 7*r**2. Let m(c) = 18*c**2 - 2*c. Let j(i) = -8*i**2 + i. Let s(p) = 4*j(p) + 2*m(p). Give s(u(v)).
196*v**4
Let x(g) be the third derivative of g**6/120 - 14*g**3/3 + 16*g**2. Let u(o) be the first derivative of x(o). Let s(q) = 11*q - 11*q - 4*q**2. Give s(u(t)).
-36*t**4
Let q = 912 + -467. Let v(o) = -q*o - 4*o**2 + 445*o. Let s(h) = 4*h. Calculate s(v(w)).
-16*w**2
Let s(f) = 24642*f**2. Let p(z) = 492*z - 3. What is p(s(l))?
12123864*l**2 - 3
Let b(c) = -10*c**2 + 50*c**2 - 12*c**2 - 13*c**2 - 22*c**2. Let r(g) = 3*g**2 + 87. What is b(r(m))?
-63*m**4 - 3654*m**2 - 52983
Let u(z) = 5*z. Let l(m) = -134*m + 10. Let c(v) = 2*v - 3. Let i(r) = 4*c(r) + l(r). Give u(i(k)).
-630*k - 10
Let j(i) = -15*i. Suppose 496*o = 488*o + 56. Let w(c) = -c**2 + 5*c + 2. Let l be w(5). Let r(u) = -l*u + 10*u - o*u. What is r(j(m))?
-15*m
Let i(c) = 226 - 226 + 0*c - 2*c. Let h(z) = -z. Let w(a) = 3*h(a) - 2*i(a). Let k(g) = -43*g + 2. Determine w(k(x)).
-43*x + 2
Let k(n) = -1093*n - 214*n**2 + 1093*n - 24*n**2. Let b(l) = 4*l**2. Calculate b(k(t)).
226576*t**4
Let q(y) = 278510544*y. Let p(s) = 4*s**2. Give p(q(c)).
310272492476703744*c**2
Let y(p) = 2*p**2 + 405414. Let n(v) = 2*v**2. Calculate y(n(j)).
8*j**4 + 405414
Let l(x) = -33*x**2. Let j(c) = -34*c - 638. Let i(z) = 2*z + 29. Let r(q) = 132*i(q) + 6*j(q). What is l(r(d))?
-118800*d**2
Let n(b) = 17*b. Let p(k) = -2759*k - 1 + 2827*k + 2 - 1. What is n(p(a))?
1156*a
Let l(g) = 12*g**2. Let o(j) = j**3 - 3*j**2 - 8*j + 18. Let q be o(4). Let b(n) = 3*n + n + 0*n - q*n. Determine l(b(z)).
48*z**2
Let d(u) = 2*u. Let k(o) = 8*o - 108. Let x(m) = -9. Let a(r) = -k(r) + 13*x(r). What is a(d(h))?
-16*h - 9
Let v(z) = -14*z. Let f(d) = -142 + 142 + 7*d. Let k(q) = 3*q - 1 + 1. Let p(l) = 4*f(l) - 9*k(l). Give p(v(y)).
-14*y
Let r(a) = 56743*a**2. Let n(b) = -171*b**2. Calculate n(r(c)).
-550580336379*c**4
Let u(i) = -301*i + 6. Let v(x) = 22. Let o(h) = -h - 110. Let c(f) = -2*o(f) - 10*v(f). Determine c(u(t)).
-602*t + 12
Let k(d) = -d**2. Let l be (-1 - 9/(-27))/((-2)/573). Let u(x) = -252*x - 140*x + 109*x - l*x. Give k(u(i)).
-224676*i**2
Let g(h) = 2*h - 8. Let m(b) = -285*b**2 - 7*b + 27. Let a(z) = -123*z**2 - 3*z + 14. Let o(i) = -7*a(i) + 3*m(i). Calculate o(g(d)).
24*d**2 - 192*d + 367
Let y(u) = -264 - 275 + 3*u + 539. Let f(r) be the second derivative of -7*r**4/3 + 7*r - 8. Determine y(f(j)).
-84*j**2
Let z(f) be the second derivative of -f**5/30 + 35*f**3/3 - 7*f - 2. Let a(v) be the second derivative of z(v). Let p(r) = 73*r**2. Determine a(p(m)).
-292*m**2
Suppose -4*l - 3*u + 11 = 0, -55*l - u = -58*l + 5. Let i(k) = -4*k**l + 3*k**2 - k**2 - k**2. Let p(t) = -40*t. Calculate i(p(r)).
-4800*r**2
Let l(p) = 12*p**2 + 12*p - 12. Let o(t) = -25*t**2 - 22*t + 22. Let n(d) = -11*l(d) - 6*o(d). Let y(w) be the first derivative of w**3/3 + 4. What is y(n(b))?
324*b**4
Let o(z) = -192581*z. Let l(q) = -6*q. What is l(o(p))?
1155486*p
Let z(g) = 23*g**2. Let v(c) = -7919*c. Give v(z(j)).
-182137*j**2
Let y(b) = b**2 - 33*b + 85. Let u be y(32). Let m(h) = -u*h**2 + 165*h**2 + 95*h**2. Let a(i) = i**2. Determine m(a(k)).
207*k**4
Let o(b) = -2*b**2. Let y(l) = 192302659*l. What is o(y(d))?
-73960625316940562*d**2
Let d(b) = -13*b - 282. Let z(p) = -3*p**2 + 24*p - 16. Let n(s) = 7*s**2 - 54*s + 36. Let u(t) = -4*n(t) - 9*z(t). Determine u(d(f)).
-169*f**2 - 7332*f - 79524
Let z(s) = 13*s. Let d = 267 + -265. Let b(x) = -15*x - 17*x - 13*x - d*x**2 + 45*x. Give b(z(n)).
-338*n**2
Let z(a) = 2 - 7 + 1 + 3 + 13*a**2. Let k(m) be the second derivative of m**3/3 - 22*m. Determine k(z(s)).
26*s**2 - 2
Let l(p) = 3*p**2 - 6. Let c be -19 + 19 + 0 - -4. Let u(g) be the third derivative of 0*g**3 + 0 + 1/12*g**c + 0*g + 9*g**2. Give l(u(x)).
12*x**2 - 6
Let n(c) be the third derivative of -c**5/20 - 22*c**2 + 1. Let w be (-4 + (-2 - -8))*(-10)/(-4). Let z(h) = 4*h**2 - w*h**2 - 8*h**2. Calculate n(z(o)).
-243*o**4
Let a(m) = -m**2. Let x be 2/(-52)*-74 - (-10)/65. Let h(c) = -x*c + c - 11*c + 3*c. Give a(h(y)).
-100*y**2
Let o(u) = 246831*u. Let z(w) = -39*w**2 + 4*w. Calculate o(z(f)).
-9626409*f**2 + 987324*f
Let v(t) be the second derivative of t**6/360 + t**4/6 + 25*t**2/2 + 42*t. Let z(r) be the third derivative of v(r). Let b(x) = -25*x**2. Determine b(z(k)).
-100*k**2
Let j(b) = -54*b - 442. Let v(c) = c**2 - 51. Determine v(j(q)).
2916*q**2 + 47736*q + 195313
Suppose 0 = 178*l - 175*l - 198. Let c(r) = -63*r - l*r + 127*r. Let f(d) = -37*d - 1. Calculate c(f(t)).
74*t + 2
Let h(j) = -2176*j**2. Let b(a) = 38*a**2 + 78*a. Let u(o) = -6*o**2 - 13*o. Let c(l) = -b(l) - 6*u(l). Determine h(c(i)).
-8704*i**4
Let h(x) = 2*x**2 + 285*x - 285*x. Let s be (21/56)/(6/(-20))*-4. Let a(m) = -8*m**2 - 2*m**2 - 5*m**2 - s*m**2. Give h(a(g)).
800*g**4
Let a(q) = -20*q**2. Let m(b) = b**3 + b**2 - 2*b + 2212. Let k be m(0). Let j(t) = k - t - 2212. Give a(j(w)).
-20*w**2
Let n(w) be the first derivative of -45*w**2/2 - 18*w + 52. Let z(g) = -3*g - 1. Let t(l) = n(l) - 18*z(l). Let a(h) = 4*h**2. What is t(a(v))?
36*v**2
Let j(i) = -72*i**2 + 108*i - 36. Let l(s) = s**2 - 3*s + 1. Let u(h) = -j(h) - 36*l(h). Let d(p) = 367*p - 2*p**2 - 367*p. Calculate u(d(a)).
144*a**4
Let w(n) = 37*n**2. Let s(h) be the first derivative of 91*h**3/3 + 1350. Give s(w(u)).
124579*u**4
Let g(n) = -3 + 63017*n**2 + 3 - 63018*n**2. Let i(l) = -2562*l. Calculate g(i(a)).
-6563844*a**2
Let a(y) = -7143378*y**2. Let j(x) = -3*x. Calculate a(j(k)).
-64290402*k**2
Let z(p) = -176*p. Let m(l) be the first derivative of 0*l + 0*l**2 - 231 + 4/3*l**3. Determine m(z(x)).
123904*x**2
Let l(d) = d**2. Let g(p) = 5438*p. Let k(y) = -6487432*y. Let m(u) = -2387*g(u) - 2*k(u). What is m(l(v))?
-5642*v** | {
"pile_set_name": "DM Mathematics"
} |
(b) m (c) -0.1
c
Suppose 5*u - 9 = 1. Let d be u/(-7) - 12/(-189). Let i = -0.05 + -2.95. Which is the closest to 0? (a) i (b) d (c) 1
b
Suppose -1 + 0 = p. Let m = 1 - 1.9. Let u = m + 0.7. What is the closest to p in -4, u, -2/9?
-2/9
Let v = -0.18 - -0.17. Let m = -1 - -1.09. Let t = v - m. Which is the nearest to t? (a) -3/5 (b) 5 (c) 1/6
c
Let i = -18 - -15. Which is the closest to 0? (a) i (b) -4 (c) -2
c
Let d be ((-1)/3)/((-5)/(-5)). Let x = -12 - -7. Let c be 2/(-5)*(-6 + 1). What is the nearest to d in c, x, -0.4?
-0.4
Suppose 0 = 2*w + w - 6. Which is the nearest to -1/11? (a) w (b) -1 (c) 1
b
Let q(o) = -o**3 + 8*o**2 + 8*o + 12. Let k be q(9). Suppose k*l = -5 - 10. What is the nearest to 2 in -0.4, l, 3/5?
3/5
Let z = 1.1 + -6.6. Let u = -5 - z. What is the nearest to 0 in u, 4, 0?
0
Let y be 8/(-20) + 8/(-5). Let n be y/9 - (-152)/36. What is the nearest to 1 in -2/7, n, -0.1?
-0.1
Let q = 2 + -1.8. Let t = q - -0.8. Let d = 153 + -152.8. Which is the nearest to t? (a) 1 (b) -4/7 (c) d
a
Let t = 94/21 - 36/7. Let a = -1.9 - 0.1. Let c be -2 - 1/((-20)/38). What is the closest to 0.2 in a, t, c?
c
Let h be (-1)/(-3)*12/(-8). Let m = -2.5 - -0.5. Which is the nearest to h? (a) 1/5 (b) 0.1 (c) m
b
Let o be (-147)/(-28) - 1*4. Which is the closest to -5? (a) -5 (b) 5 (c) o
a
Let q = -13 - -15. Let u = -0.5 - -0.5. What is the nearest to 0 in u, 2/9, q?
u
Let z = 4 + -1. Let i be (-15)/(-72)*15 + -3. What is the nearest to -1 in -1/7, z, i?
-1/7
Let y be ((-4)/(-18))/((-2)/(-3)). Let o = -2.4 - 2.6. Which is the closest to 0? (a) o (b) -3 (c) y
c
Let m = 12.1 - 12. What is the closest to m in -1/6, 0.5, -0.1?
-0.1
Let b = 4 - 3.9. Suppose -4*a + a - 7 = 4*i, 4*i = 2*a - 2. What is the nearest to 0 in 5, b, i?
b
Let l = -6 + 4. Let g = 0.3 - -0.7. Suppose 0 = j - 3*n + 9, 1 - 17 = -4*j - n. Which is the closest to g? (a) j (b) 0 (c) l
b
Let g = -17/4 - -97/20. What is the nearest to -1/3 in 0.3, g, -0.5?
-0.5
Let m = -0.1 - -0.2. Suppose 3*n - 5*f = -13, -10*n + 5*f = -5*n + 15. Which is the nearest to 2/3? (a) 0.2 (b) n (c) m
a
Let a = -0.2 + 0.4. Let p = -11.8 - -13. Let z = a - p. What is the nearest to -1 in z, -4, 1?
z
Let n = 1.06 - -1.94. Let x = -3 + 5. What is the nearest to x in -4, n, 5?
n
Let s = 19/121 - -3/121. Let m = -14 - -13.8. What is the closest to m in 1/9, s, 4?
1/9
Let r(t) = -t**3 - 3*t**2 - 2*t - 4. Let x be r(-3). Suppose 3*d = -i - 3, -5*d - 2*i - 4 = x. Let k = 4.8 + -5. What is the nearest to d in k, -3, -0.5?
k
Let m = 0.34 - 0.04. Let g = -8 + 5. What is the nearest to -2/7 in m, -3/2, g?
m
Let z(i) = -i + 4. Let h be z(2). Suppose -6*g = -h*g. Let p be -1 + (10/14)/1. Which is the nearest to -2/5? (a) p (b) g (c) -0.5
c
Suppose 2*k - 5*k + 15 = 0. Let d = -2.4 - -1.4. What is the nearest to d in k, 0, 3/2?
0
Let o = -422/5 + 84. What is the closest to 5 in -0.1, o, 0.1?
0.1
Let h = 5/9 + -23/36. What is the nearest to 1 in 2, h, 3?
2
Let w = 5 + -10. Which is the nearest to 1/3? (a) w (b) 0.9 (c) -2
b
Let y = 1.8 + -3.6. Let f = y - -2. Suppose 2 = -q - 0*q. Which is the closest to q? (a) f (b) -1/2 (c) -4
b
Let p = 0.9 - 1.6. Let z = p - -3.7. Suppose -2*u = 2*y - 12, -4*u = 2*y + 10 - 24. Which is the closest to 0.1? (a) 2/3 (b) u (c) z
a
Suppose h + 24 = 22. What is the nearest to 0.1 in -1/2, -0.4, h?
-0.4
Let s = 6.6 - 6.5. Suppose v = -v + 4. What is the nearest to s in 0, -0.3, v?
0
Let t = 0.3 - -0.1. Let i = -20 + 39/2. Let s = 0.5 + -0.4. Which is the nearest to 0? (a) s (b) t (c) i
a
Let p be (-2)/(-7)*(1 - (-15)/(-6)). What is the closest to -1/6 in p, -0.2, -6?
-0.2
Let q = -39 - -57. Let n = q - 18. What is the closest to n in 2, 1, -4?
1
Let c = -0.08 + -0.02. Let b = -7 - -12. What is the closest to c in b, 0.2, 2/15?
2/15
Let o(x) = 0*x - 7*x + 8*x - 18. Let d be o(13). Which is the nearest to -1? (a) -0.2 (b) d (c) 0
a
Let a = -2/7 - -4/7. Let f be 4/2 - (-36)/(-19). Let z be 63/(-28) - (-3)/(-4). What is the closest to a in z, f, 0?
f
Suppose -14 = -l + 5*u, -4*l - u - 2*u = 13. What is the nearest to -0.1 in -2, l, -1/5?
-1/5
Suppose 16*u = 13*u. What is the closest to u in 2/7, 2/9, 1?
2/9
Suppose 5*g = 4*g. What is the closest to -2 in 4, -2, g?
-2
Let x = -30.6 + 31. Suppose -2*s + 4 - 5 = -5*u, 0 = 2*s - 4*u. Which is the closest to -0.2? (a) -5 (b) x (c) s
b
Let f = -0.9 - 2.1. Let y = 16 - 11. Which is the nearest to 0.1? (a) -1/3 (b) y (c) f
a
Let v = -0.6 - -0.2. Let j = 3.1 + -3. What is the nearest to j in v, 0.2, -0.3?
0.2
Let y = -1.1 - -0.1. Let u(f) = 8*f**3 - 4*f**2 - 3*f - 3. Let q be u(-3). Let g = 2212/9 + q. Which is the nearest to y? (a) 3 (b) g (c) 1/7
b
Let a = 2.22 + -0.22. What is the closest to -2/5 in 4/19, a, 0.2?
0.2
Suppose 0 = -i + 5*p - 10, 0*p = -4*i - 4*p + 8. Let w = -0.7 + -4.3. Let t = 0.06 - -1.94. What is the closest to -1 in i, w, t?
i
Let o = -44.8 - -45. What is the nearest to 0.2 in 2, o, 0.3?
o
Let i = -0.3 - 0.7. What is the closest to 1/4 in 1/26, i, 5?
1/26
Let z = -22 - -22. Let j = 6 + -1. Let r be (15/9)/(2/(-6)). Which is the nearest to 0.2? (a) r (b) j (c) z
c
Let s = 3/5 - -1/15. Which is the nearest to -3/4? (a) s (b) -1/7 (c) -3
b
Let n = 54 + -53.7. Which is the nearest to 2/9? (a) -1 (b) -0.4 (c) n
c
Let s = -5 + 5.1. Let f = -1/120 - 233/840. What is the closest to f in 2/9, s, -3?
s
Suppose 5*y - 2*g + 4*g + 6 = 0, 3*g = 5*y + 16. Which is the nearest to 1/3? (a) -3/4 (b) -2/3 (c) y
b
Suppose -3*k - 29 = 4*m, 2*k + 0*m - 4 = 2*m. What is the closest to -1 in 0.106, 1/2, k?
0.106
Let t = 0.04 - -0.06. What is the nearest to t in 24, 4, 0?
0
Let i = -49/57 - -10/19. Suppose 0*j + 6 = 3*j. What is the nearest to 1 in -3, j, i?
j
Suppose -v = 1 - 4. Let x(t) = t + 7 - 3 - 8 + 0. Let h be x(v). Which is the nearest to h? (a) -0.2 (b) 3 (c) 0
a
Let c = -2.8 - -3. Let j(m) = m**3 + 11*m**2 - 14*m - 29. Let p be j(-12). What is the closest to c in -1/4, p, -0.1?
-0.1
Let f be 5 + (-198)/21 - -4. Which is the closest to -1/2? (a) f (b) 5 (c) 6
a
Suppose -4*u + 60 = -3*u. Let q be 10/u + (-4)/6. What is the closest to q in 2, 3, -2?
-2
Let v = -0.2 - -1.8. Let z = 2 - v. What is the closest to -3 in 3, z, -2?
-2
Let d = 62 - 61.5. Let n(h) = -h + 3. Let z be n(3). What is the closest to z in d, -0.3, 3?
-0.3
Let b = 4 - 3.9. Let x = 0.4 + b. What is the nearest to -0.1 in 0.07, x, -2?
0.07
Let r = -1 - -1. Let a = -0.1 - r. Let c = a - -0.1. What is the closest to c in 4, 2, 0.5?
0.5
Let h = 0.02 - -0.18. What is the nearest to h in 3/2, 4, 1/4?
1/4
Let s = -3.22 - 0.88. Let g = 0.9 - s. Let t = -4 + 1. Which is the nearest to 0? (a) t (b) 0 (c) g
b
Let f be (-2)/2 + (-1)/(-6). Let w = -2/235 - -253/2115. Which is the nearest to -1/2? (a) f (b) w (c) -1
a
Let v = 0.12 + 8.88. Let a = 9.5 - v. What is the closest to 0 in -5, -4, a?
a
Let k = -25.5 - -25.2. Let l = -1.5 - -1. Let p = -5/3 - -13/9. Which is the nearest to p? (a) l (b) -1/6 (c) k
b
Let v be -3 + ((-4)/34)/((-24)/588). What is the closest to -1/3 in 5, v, -3/7?
-3/7
Let q = 44/5 + -318/35. What is the closest to 0 in -2/9, q, 0.3?
-2/9
Suppose f - 15 = 6*f. Which is the closest to -1/5? (a) 5 (b) -2 (c) f
b
Let d = 0.63 + -0.33. What is the nearest to -0.1 in d, -3/7, -12/13?
-3/7
Let m = -2.4 - -1.4. Let y be (2/(-15))/((-3)/5). What is the closest to y in 4/3, 1/3, m?
1/3
Let r = 92 + -92.2. Suppose h + h = 0. What is the closest to h in -1/3, r, -3?
r
Let s = 103/3 - 35. Which is the closest to -4? (a) 0.2 (b) s (c) 4/5
b
Let i = -0.02 - -0.02. Let o = -16 + 16. Let h = -51 + 356/7. Which is the closest to o? (a) 2 (b) h (c) i
c
Let s = -76.4 - -84. Let a = s - 7. Let d = a + -2.6. What is the nearest to d in -0.3, 1, 0?
-0.3
Let l(m) = m**2 + 30*m + 56. Let x be l(-28). Which is the nearest to x? (a) 2 (b) -0.1 (c) -0.2
b
Suppose -4*s + 9*s + g = -7, g = -4*s - 5. Let q be ((-70)/56)/((-9)/(-4)). Let v = q - 17/18. Which is the closest to 1? (a) -0.1 (b) s (c) v
a
Let o be (-2)/(-9) + 34/9. Let t be o/(-20) + (-192)/(-10). Let c = -79/4 + t. What is the closest to -1 in c, -2/7, -0.5?
c
Let q = -19/6 - -79/24. Let o = 12 - 12.4. Which is the closest to 2/5? (a) -3 | {
"pile_set_name": "DM Mathematics"
} |
-1328?
-1328
Let u(t) = -t**2 + 15*t - 3. Let s(p) = 8*p - 4. Let i be s(2). Let w be u(i). Let o = 1489 - 1457. Which is smaller: o or w?
o
Let l be (124/(-266))/((-495)/(-693)). Which is smaller: -1 or l?
-1
Let x = -64.45 - -62. Let o = 3.05 + x. Is -4/3 greater than o?
False
Suppose -2 = -t - 2. Suppose -7*q + 11*q = t. Let s be (3 + q)*(-2 + -17). Is s >= -57?
True
Let g be 42316/21726 - 24/27. Suppose 3*o + 0*o = 0. Which is smaller: o or g?
o
Let d = -1.66 - -1.321. Let o = d + 0.439. Which is smaller: o or 1/14?
1/14
Let z = 73 - 49. Let n(w) = 3*w + 40. Suppose 2*u = -2*k - 6, 5*u + k - 5*k + 33 = 0. Let c be n(u). Which is greater: z or c?
c
Let a be (-1)/((-1)/(-1)) + (-5)/(-3). Let c = -244 + 243.457. Is a bigger than c?
True
Let d = -187 - -193. Let m be (28/(9 + -2))/d. Which is greater: 15/2 or m?
15/2
Let l(d) = -d**3 - 3*d**2 + 143*d + 290. Let p be l(-2). Is 87/65 > p?
True
Let m = -17369 + 17494. Which is smaller: 866/7 or m?
866/7
Suppose l - 5*a - 7 = 37, 55 = 2*l + a. Suppose 0 = -9*u - l + 2. Do -25/9 and u have the same value?
False
Let l be 45*(684/10761 + 1/(-17)). Which is smaller: 0 or l?
0
Suppose 3*d - 6*d = 4*p - 77, -2*p = -d + 39. Suppose y = s + 2, 3*s + y + d = -y. Let f be (2/12)/((21/(-18))/s). Which is smaller: f or 1/8?
1/8
Suppose 68*c + 39 = 55*c. Suppose 10*d + 32 = -28. Is c > d?
True
Suppose -5 = l, -10 = -3*o + 7*o + 2*l. Which is greater: -632 or o?
o
Let p(g) = -38*g - 14782. Let h be p(0). Is -14781 equal to h?
False
Let s = -2858.9 + 2859. Which is smaller: -1845/4 or s?
-1845/4
Let z be (-180550)/(-75) + (-3)/1. Let d = z - 2433. Are -30 and d equal?
False
Let i(y) = -2*y + 15. Let g be i(7). Let j be ((-24)/23)/g - -1. Suppose -5*k = 12 - 7. Which is bigger: j or k?
j
Let m = 2/87781 - -26158720/790029. Which is smaller: -7 or m?
-7
Let f be (-20)/(-4) - (-14)/((-6)/3). Let h be 7 + -17 + 3 + -1. Let s(i) = i**2 + 9*i + 6. Let a be s(h). Do a and f have the same value?
True
Let m be (5/(-3))/(-5)*(6 + -3 + 0). Which is greater: -3/2062 or m?
m
Let j = -4 - -223. Let y = j - 217. Let c be (-2)/(-6) - (-1)/6. Which is smaller: c or y?
c
Let d(r) = -2*r + 29. Let n be d(13). Let j be ((-159)/(-45) - 0) + 1/(-3). Is n at least as big as j?
False
Suppose -82 = k + 69. Let x = k + 237. Are 85 and x nonequal?
True
Let m be (-6 - (-14 - -7)) + (26/18 - 4). Which is smaller: m or -2?
-2
Let s be 48/40*1/(9/30). Suppose -f - s = -6. Let h be 1/((-5)/((-10)/(-8))). Is f less than h?
False
Let h = 8121.1 + -8654. Let d = h + 557. Is d at most as big as -1?
False
Suppose 8*p - 6*p + 3*z = 11, -4*p + 14 = -2*z. Suppose p*v - 9 = -17. Suppose 2*y - k + 6 = 0, 3*k - 1 - 13 = 4*y. Is y less than v?
False
Let v = -53.146 + 52.5. Let i = -0.146 - v. Which is greater: i or 4/3?
4/3
Let n(v) = 10*v**2 - 112*v + 934. Let c be n(8). Which is smaller: 2032/3 or c?
2032/3
Let x = 86 - 84. Suppose x*a - 107 = t + 7, -2*a = -2*t - 112. Suppose -2*v + 50 = a. Are v and 4 nonequal?
True
Let j = -0.264 + 0.433. Let d = -7.169 + j. Are d and 1.2 unequal?
True
Let h = -38.1 - -8.1. Let d = 30 + h. Let a = -0.16 - -0.2. Is a <= d?
False
Let j(x) = 2*x**3 - 29*x**2 + 79*x + 49. Let z be j(11). Which is smaller: z or 723/10?
z
Let m be (-3 - (-3 - 1))*-127. Let p = 31 + m. Let n be (p/36)/((-2)/3 - 0). Which is bigger: 5 or n?
5
Let d = -9229223/478 - -19308. Let n = -119 + 597/5. Does n = d?
False
Let k be 4218/133 - -19 - (-1 - 7). Are 60 and k equal?
False
Suppose 0 = -28*a + 50*a - 22. Let i = -19 + 16.33. Does i = a?
False
Let r be 17030/5785 + 2/(-1). Which is smaller: 2 or r?
r
Suppose 195*y - 986 = 567 - 9158. Suppose 3*h + 117 = -d, 2*h + 4*d = 26 - 114. Is y less than or equal to h?
True
Let f(j) = 282*j**2 + 4*j + 3. Let c be f(-1). Suppose 369 + c = -10*t. Are t and -65 nonequal?
False
Suppose 4*j - j - 405 = 0. Suppose -6*c = 3*c + j. Let m be 36/30 - (-3)/c. Which is smaller: m or 36?
m
Let t(v) = -v**3 - 11*v**2 - 22*v - 119. Let x be t(-10). Which is bigger: x or -6/1057?
x
Suppose -14*j - 986 = -552. Which is greater: j or 15?
15
Let t be (-4)/(-8)*4/61. Let y = -30 + 26. Let k be 4/(-54)*(-5 + y). Which is smaller: t or k?
t
Suppose 0 = -18*n - 9720 + 324. Which is greater: n or -520?
-520
Let r = -608 - -870. Let o = 279 - r. Which is bigger: o or 21?
21
Let s = 21655 - 107891/5. Let v = s + -3466/45. Is -84 smaller than v?
True
Let w = 460 - 459.972. Is w less than 0.3?
True
Let x = 53/83 - -293/581. Let d(p) = -5*p - 1. Let f(q) = -q + 1. Let a(h) = d(h) - 4*f(h). Let t be a(-5). Which is greater: x or t?
x
Suppose 2*l + 1233 = 30*m - 33*m, -3*l + 9 = 0. Is -442 smaller than m?
True
Let b = -25.2 - 123.8. Let m = 157.7 + b. Let p = -8.53 + m. Are -0.1 and p unequal?
True
Suppose 0*f + 5*f - 5 = 0. Let m = -862303/492 + 5258/3. Is m at most f?
True
Let m = 2 + -3. Let p(t) = 2*t**2 + 8*t + 11. Suppose 6*x - x + 2*l + 35 = 0, 2*x - 15 = 5*l. Let d be p(x). Is d <= m?
False
Let k be (-4)/10 + (-10)/(-25). Suppose -4*r - 120 = 5*m, r + k*r - 55 = 3*m. Let z be (48/m)/(3/(-20)). Is 16 greater than z?
False
Suppose 5*o + 275 = 5*r, o = 3*o + 2*r + 102. Let y(d) = -d**2 - 11*d - 11. Let u be y(-14). Do o and u have different values?
False
Let l(q) = 61*q**3 - 3*q**2 - 28*q - 46. Let g be l(-2). Is -491 <= g?
True
Suppose 0 = 264*f - 212*f - 82940. Is f smaller than 1596?
True
Let o = 9373 + -12431. Is o at most -3057?
True
Suppose 3*s - 139 - 386 = 0. Let q = 186 - s. Which is smaller: 9 or q?
9
Let b = 393 - 391. Suppose 5*s - m + 0*m + 696 = 0, -2*m = -b*s - 280. Is -139 at least as big as s?
True
Suppose 0 = -28*t + 65*t - 37. Which is greater: t or -15/253?
t
Suppose 4*a - 5663 = -2*l + 2115, 0 = a - l - 1952. Let v = a + -107079/55. Let r = -229/1595 + v. Which is smaller: 1 or r?
r
Let a be (-11934)/(-78) - (1 + -4). Which is greater: a or 155?
a
Let l = -283 - -543. Let i = -260.2 + l. Is -62 not equal to i?
True
Suppose 32*a - 231 = 43*a. Let w be (-2)/45*(-7)/(a/(-30)). Let b = -1 + 2. Which is smaller: w or b?
w
Let p(s) = s**2 + 8*s + 7. Let l be p(-7). Suppose 2*x - 4*x = l. Suppose x = n - 2*n - 2*k + 8, 2*k - 8 = 4*n. Which is bigger: -1/9 or n?
n
Let v(f) = f**3 - 20*f**2 + f - 31. Let x be v(18). Let u = 4625/7 + x. Suppose 2*c + 16 = -2*c. Which is bigger: c or u?
u
Let n = -133656 - -344698834/2579. Is n smaller than 0?
False
Suppose -3860 = -40*f - 47342 - 12598. Is -1404 at most as big as f?
True
Let b(k) = -k**2 - 13*k - 19. Let n be b(-11). Suppose -n*d - 13 = -6*u + 7*u, d = -5. Is 7 > u?
True
Let b = -700 + 944. Do 240 and b have the same value?
False
Suppose -49*d + 67*d = 198. Is d less than or equal to 14?
True
Suppose 3*a + 49 = 3*x + 1153, x - 1112 = -3*a. Let r be (a/25)/((-61)/(-30) - 2). Let o be ((-426)/r + 1)*8/(-6). Do 1 and o have different values?
True
Suppose -2*h + 26 = -h. Suppose u + 4*s = 5, -174 = 4*u - s - 296. Which is greater: u or h?
u
Let u = -103640423/147 + 14721334/21. Let y = 1834 - 5855. Let t = u - y. Is t >= -2/7?
True
Suppose 15*z = -1770 + 45. Suppose -3*l - 340 = -0*l - m, 10 = -2*m. Does l = z?
True
Let h = -5529.3292 + -0.6708. Which is smaller: 0 or h?
h
Let n = 934 + -951.7. Does n = 48?
False
Let f be 505/105 + 3/((-3)/5). Let q = f + -10/21. Let a = -62 - -686/11. Which is bigger: a or q?
a
Let o(r) = r**3 + 21*r**2 - 43*r + 69. Let x be o(-23). Suppose -5*l + 3*u + 29 = -19, x = 5*l + 4*u - 41. Is l less than 23?
True
Let q(y) = 239*y + 220. Let t be q(-1). Let x(v) = v**2 + 9*v - 7. Let l be x(-7). Which is bigger: t or l?
t
Suppose 96 = -7*x + 418. Suppose -x = 14*o - 46. Which is smaller: 6 or o?
o
Let r be (-2 + 1)/((-14)/18). Let y = 378 + -375. Suppose -y = 2*g - 5*g. Which is greater: r or g?
r
Suppose 0 = 4*k + 4*o - 4, -3*k + 4 = -4*o - 6. Let s be k/5 - 12/5. Let i be (s/34)/((-8)/16). Is i greater than or equal to -1?
True
Let v = -45 - -53. Suppose -4*p = -5*y + v, 0*y + 4 = y. Suppose -5*l - 33 = -7*f + 4*f, 0 = -2*f + p*l + 23. Is 16 equal to f?
True
Suppose -4*z - 3*y - 2*y = -15, 2*z - 40 = 4*y. Let n be (8/36)/(1/((-603)/(-12))). Is z not equal to n?
True
Let k = -4737 - -4987. Which is smaller: 0.1 or k?
0.1
Let v be (1/(-1))/((-5)/(-125)*1). Let b(x) = -x - 23. Let j be b(v). Let z(f) = f**3 - 2*f**2 - f + 2. Let d be z(j). Wh | {
"pile_set_name": "DM Mathematics"
} |
er?
57
What is the third root of 25081169 to the nearest integer?
293
What is 279291 to the power of 1/9, to the nearest integer?
4
What is the third root of 24836319 to the nearest integer?
292
What is the fourth root of 53480 to the nearest integer?
15
What is 1086276 to the power of 1/7, to the nearest integer?
7
What is the seventh root of 23106407 to the nearest integer?
11
What is 296018 to the power of 1/3, to the nearest integer?
67
What is the cube root of 382845 to the nearest integer?
73
What is 8602683 to the power of 1/2, to the nearest integer?
2933
What is the square root of 772822 to the nearest integer?
879
What is 66489 to the power of 1/5, to the nearest integer?
9
What is 3335940 to the power of 1/9, to the nearest integer?
5
What is 101762 to the power of 1/2, to the nearest integer?
319
What is the square root of 197483 to the nearest integer?
444
What is 561525 to the power of 1/5, to the nearest integer?
14
What is 2836172 to the power of 1/4, to the nearest integer?
41
What is 1693191 to the power of 1/2, to the nearest integer?
1301
What is 2948829 to the power of 1/5, to the nearest integer?
20
What is 274135 to the power of 1/2, to the nearest integer?
524
What is the cube root of 1763128 to the nearest integer?
121
What is the square root of 9361173 to the nearest integer?
3060
What is 1968520 to the power of 1/2, to the nearest integer?
1403
What is 192218 to the power of 1/2, to the nearest integer?
438
What is the tenth root of 209322 to the nearest integer?
3
What is the eighth root of 287399 to the nearest integer?
5
What is 175872 to the power of 1/2, to the nearest integer?
419
What is 8787474 to the power of 1/4, to the nearest integer?
54
What is 736845 to the power of 1/2, to the nearest integer?
858
What is 235624 to the power of 1/2, to the nearest integer?
485
What is the sixth root of 360009 to the nearest integer?
8
What is 995657 to the power of 1/2, to the nearest integer?
998
What is the fifth root of 66127 to the nearest integer?
9
What is the square root of 1573565 to the nearest integer?
1254
What is 308568 to the power of 1/2, to the nearest integer?
555
What is the third root of 480870 to the nearest integer?
78
What is the square root of 8150594 to the nearest integer?
2855
What is the third root of 1093633 to the nearest integer?
103
What is the tenth root of 498378 to the nearest integer?
4
What is the sixth root of 1145521 to the nearest integer?
10
What is 416737 to the power of 1/8, to the nearest integer?
5
What is 6291391 to the power of 1/8, to the nearest integer?
7
What is 1063326 to the power of 1/2, to the nearest integer?
1031
What is the square root of 7995864 to the nearest integer?
2828
What is 2433908 to the power of 1/2, to the nearest integer?
1560
What is 1825320 to the power of 1/2, to the nearest integer?
1351
What is the fourth root of 5927554 to the nearest integer?
49
What is 666933 to the power of 1/2, to the nearest integer?
817
What is the square root of 1390898 to the nearest integer?
1179
What is 3488531 to the power of 1/8, to the nearest integer?
7
What is 189289 to the power of 1/3, to the nearest integer?
57
What is the sixth root of 1822157 to the nearest integer?
11
What is 7599932 to the power of 1/2, to the nearest integer?
2757
What is the third root of 118743 to the nearest integer?
49
What is 215155 to the power of 1/2, to the nearest integer?
464
What is the ninth root of 210577 to the nearest integer?
4
What is 276583 to the power of 1/2, to the nearest integer?
526
What is 215565 to the power of 1/5, to the nearest integer?
12
What is 2175528 to the power of 1/3, to the nearest integer?
130
What is the fourth root of 3357483 to the nearest integer?
43
What is the fifth root of 701057 to the nearest integer?
15
What is 2996932 to the power of 1/2, to the nearest integer?
1731
What is 4645297 to the power of 1/2, to the nearest integer?
2155
What is the square root of 3093725 to the nearest integer?
1759
What is 1517916 to the power of 1/9, to the nearest integer?
5
What is 6871152 to the power of 1/5, to the nearest integer?
23
What is 203373 to the power of 1/3, to the nearest integer?
59
What is 893458 to the power of 1/4, to the nearest integer?
31
What is 8991711 to the power of 1/2, to the nearest integer?
2999
What is the square root of 294038 to the nearest integer?
542
What is the eighth root of 4017673 to the nearest integer?
7
What is the cube root of 601537 to the nearest integer?
84
What is 6110821 to the power of 1/8, to the nearest integer?
7
What is the third root of 70537 to the nearest integer?
41
What is the square root of 1863873 to the nearest integer?
1365
What is the cube root of 239963 to the nearest integer?
62
What is 439473 to the power of 1/3, to the nearest integer?
76
What is the cube root of 10564981 to the nearest integer?
219
What is 281132 to the power of 1/7, to the nearest integer?
6
What is the sixth root of 522515 to the nearest integer?
9
What is the sixth root of 1068053 to the nearest integer?
10
What is the third root of 3966471 to the nearest integer?
158
What is the third root of 3090569 to the nearest integer?
146
What is the third root of 134126 to the nearest integer?
51
What is 9009669 to the power of 1/2, to the nearest integer?
3002
What is the third root of 2815651 to the nearest integer?
141
What is 414432 to the power of 1/3, to the nearest integer?
75
What is the fifth root of 614 to the nearest integer?
4
What is the third root of 3652050 to the nearest integer?
154
What is 70750 to the power of 1/3, to the nearest integer?
41
What is the square root of 276745 to the nearest integer?
526
What is 107832 to the power of 1/10, to the nearest integer?
3
What is the square root of 5894077 to the nearest integer?
2428
What is the square root of 15135656 to the nearest integer?
3890
What is 750997 to the power of 1/5, to the nearest integer?
15
What is 1717637 to the power of 1/2, to the nearest integer?
1311
What is 1384799 to the power of 1/6, to the nearest integer?
11
What is the sixth root of 694907 to the nearest integer?
9
What is the third root of 12175786 to the nearest integer?
230
What is the square root of 7357834 to the nearest integer?
2713
What is the fifth root of 54910 to the nearest integer?
9
What is the sixth root of 5734972 to the nearest integer?
13
What is 7388012 to the power of 1/8, to the nearest integer?
7
What is the tenth root of 571788 to the nearest integer?
4
What is 1868728 to the power of 1/4, to the nearest integer?
37
What is 3141828 to the power of 1/10, to the nearest integer?
4
What is the fifth root of 78695 to the nearest integer?
10
What is the square root of 532567 to the nearest integer?
730
What is the square root of 22308782 to the nearest integer?
4723
What is the sixth root of 510315 to the nearest integer?
9
What is the square root of 7681658 to the nearest integer?
2772
What is 166791 to the power of 1/6, to the nearest integer?
7
What is 155407 to the power of 1/2, to the nearest integer?
394
What is 157929 to the power of 1/7, to the nearest integer?
6
What is the fifth root of 1435336 to the nearest integer?
17
What is the third root of 107352 to the nearest integer?
48
What is 15793223 to the power of 1/6, to the nearest integer?
16
What is the third root of 5874452 to the nearest integer?
180
What is 151335 to the power of 1/9, to the nearest integer?
4
What is the fourth root of 5583817 to the nearest integer?
49
What is 17391595 to the power of 1/6, to the nearest integer?
16
What is 681629 to the power of 1/2, to the nearest integer?
826
What is 233615 to the power of 1/2, to the nearest integer?
483
What is the cube root of 1358788 to the nearest integer?
111
What is 137437 to the power of 1/8, to the nearest integer?
4
What is 620794 to the power of 1/10, to the nearest integer?
4
What is the cube root of 1508018 to the nearest integer?
115
What is the cube root of 3195124 to the nearest integer?
147
What is 22122230 to the power of 1/7, to the nearest integer?
11
What is the eighth root of 192755 to the nearest integer?
5
What is 143247 to the power of 1/2, to the nearest integer?
378
What is the seventh root of 38809525 to the nearest in | {
"pile_set_name": "DM Mathematics"
} |
places.
-0.26
What is 14.9491882 rounded to two dps?
14.95
What is -3287.300182 rounded to the nearest ten?
-3290
What is -118948800 rounded to the nearest 1000000?
-119000000
Round 142942.023 to the nearest 10000.
140000
Round -3.29327076 to two dps.
-3.29
What is -578651.1717 rounded to the nearest 100000?
-600000
What is -0.0052294752 rounded to six decimal places?
-0.005229
What is 0.0000008227858 rounded to 7 decimal places?
0.0000008
Round -124032.3065 to the nearest integer.
-124032
What is 74405.32 rounded to the nearest ten thousand?
70000
What is -0.1779467893 rounded to 2 dps?
-0.18
What is 0.00000013099281 rounded to 7 dps?
0.0000001
Round 6070483.6 to the nearest 1000000.
6000000
What is -0.00006508767143 rounded to 5 decimal places?
-0.00007
Round -0.0004108747893 to seven decimal places.
-0.0004109
What is 51961.071 rounded to the nearest one thousand?
52000
Round -110434.66 to the nearest 100000.
-100000
Round 200121.59 to the nearest 1000.
200000
What is -0.000047803619 rounded to 5 dps?
-0.00005
What is -0.0589057072 rounded to six decimal places?
-0.058906
Round 123873719.5 to the nearest 1000000.
124000000
Round 26216.198423 to the nearest one thousand.
26000
What is 0.001856436848 rounded to 6 decimal places?
0.001856
Round -26.25424309 to one decimal place.
-26.3
Round -168308.841 to the nearest 1000.
-168000
What is -0.0940401909 rounded to four dps?
-0.094
What is -0.0000279101681 rounded to 6 decimal places?
-0.000028
Round -11522.5803 to the nearest one thousand.
-12000
What is -389.8021175 rounded to the nearest ten?
-390
Round 0.000465179601 to six dps.
0.000465
What is -2.318617565 rounded to two dps?
-2.32
What is 497147.254 rounded to the nearest one thousand?
497000
Round -20633706.3 to the nearest one hundred thousand.
-20600000
Round 712972.35 to the nearest 100.
713000
Round -645.5603597 to the nearest 10.
-650
Round 12679260.24 to the nearest 10000.
12680000
Round 8780.40453 to 0 decimal places.
8780
What is 0.8397566188 rounded to three decimal places?
0.84
What is 121.0741837 rounded to 1 decimal place?
121.1
Round -9197.0194 to the nearest integer.
-9197
Round 6790079.95 to the nearest 100000.
6800000
Round 5933.9291 to the nearest ten.
5930
Round 0.2620399394 to 3 decimal places.
0.262
What is 11.23372354 rounded to 1 decimal place?
11.2
Round 0.00004333285073 to six decimal places.
0.000043
Round -26.23983046 to 3 dps.
-26.24
Round 0.000201015204 to 7 dps.
0.000201
What is -5575.6798 rounded to the nearest integer?
-5576
What is 36223.46639 rounded to the nearest ten?
36220
Round 502149.4151 to the nearest ten thousand.
500000
Round -0.396417959 to four dps.
-0.3964
What is -0.0004557543078 rounded to 4 dps?
-0.0005
Round -0.1631450649 to 5 dps.
-0.16315
Round -4.689544191 to one dp.
-4.7
What is -2537498.6 rounded to the nearest one million?
-3000000
What is 7327.451633 rounded to 1 dp?
7327.5
What is 44.5844053 rounded to the nearest integer?
45
What is 0.0007396936267 rounded to 5 decimal places?
0.00074
What is -0.00005742735 rounded to 4 dps?
-0.0001
Round 18590.74359 to the nearest 100.
18600
Round 2.04385359 to 1 decimal place.
2
Round -0.1023192687 to five dps.
-0.10232
Round -9.35405046 to 2 dps.
-9.35
Round 2161592688.2 to the nearest 100000.
2161600000
What is 0.0190967911 rounded to two dps?
0.02
Round -1092.29415 to the nearest 10.
-1090
Round 22788.1062 to the nearest 100.
22800
Round -6393.2036 to zero decimal places.
-6393
Round -0.1715652913 to two decimal places.
-0.17
Round -232161540 to the nearest one hundred thousand.
-232200000
What is -11.70202684 rounded to four decimal places?
-11.702
What is -0.00097355939 rounded to 7 decimal places?
-0.0009736
Round -1.472219091 to 1 decimal place.
-1.5
What is 0.0200403108 rounded to 4 dps?
0.02
Round 0.00004670288865 to seven decimal places.
0.0000467
What is -33375411.6 rounded to the nearest ten thousand?
-33380000
What is 19759.7837 rounded to 0 dps?
19760
What is -217.8636903 rounded to 1 decimal place?
-217.9
What is 331226616 rounded to the nearest 100000?
331200000
What is -0.322979042 rounded to 5 decimal places?
-0.32298
What is 465580.01 rounded to the nearest ten thousand?
470000
What is -0.01251771742 rounded to 4 dps?
-0.0125
What is -0.0115383213 rounded to 4 decimal places?
-0.0115
Round -121.6253875 to 1 dp.
-121.6
Round 14956032.48 to the nearest one thousand.
14956000
What is -5.69338764 rounded to 0 decimal places?
-6
What is 0.0000149546081 rounded to six dps?
0.000015
What is -21347624.9 rounded to the nearest ten thousand?
-21350000
Round 2.926026583 to three decimal places.
2.926
Round -1502.853771 to 1 dp.
-1502.9
What is -0.00000638749491 rounded to 6 dps?
-0.000006
Round 781904190 to the nearest 1000000.
782000000
Round -383.90884 to the nearest integer.
-384
What is 182.5427275 rounded to the nearest ten?
180
Round -0.05022209017 to two decimal places.
-0.05
Round 10864494 to the nearest ten thousand.
10860000
What is -1613327.7 rounded to the nearest one million?
-2000000
What is 1203972120 rounded to the nearest 100000?
1204000000
What is 226690504 rounded to the nearest 100000?
226700000
Round 0.01604135233 to three dps.
0.016
Round -0.00038611302 to 4 decimal places.
-0.0004
What is 28.999124 rounded to the nearest one hundred?
0
Round 7007638.435 to the nearest 100000.
7000000
Round -12716.622 to the nearest 100.
-12700
Round -0.00001437479123 to six decimal places.
-0.000014
What is -3058315500 rounded to the nearest one hundred thousand?
-3058300000
What is -1.585662815 rounded to the nearest integer?
-2
What is 0.000000093888918 rounded to seven decimal places?
0.0000001
Round -0.0006772595022 to 4 decimal places.
-0.0007
What is -0.00003566029296 rounded to 5 dps?
-0.00004
What is -4.147181902 rounded to four decimal places?
-4.1472
What is -60085.177 rounded to the nearest 1000?
-60000
What is 0.00000022666379 rounded to 7 dps?
0.0000002
Round 0.00271039057 to four dps.
0.0027
Round -0.0001309923382 to five dps.
-0.00013
Round 38295.22103 to one decimal place.
38295.2
Round -1011.764428 to two dps.
-1011.76
Round 553.637227 to the nearest 100.
600
What is 10156952.9 rounded to the nearest one million?
10000000
Round -266888659 to the nearest ten thousand.
-266890000
Round 4512337.234 to the nearest 1000000.
5000000
Round -0.00056367468 to seven decimal places.
-0.0005637
What is 6.279351024 rounded to 1 decimal place?
6.3
What is -0.01164991803 rounded to five decimal places?
-0.01165
Round 181525.05 to the nearest one hundred thousand.
200000
What is -0.000453626262 rounded to five decimal places?
-0.00045
What is -1130775396.3 rounded to the nearest one million?
-1131000000
What is 5953083990 rounded to the nearest one hundred thousand?
5953100000
Round -40362.75364 to the nearest 10.
-40360
Round -106494.519 to the nearest 100.
-106500
What is 18451626 rounded to the nearest 100000?
18500000
Round -101.36418954 to the nearest ten.
-100
What is -2291658940 rounded to the nearest one million?
-2292000000
What is -0.000003012947938 rounded to six decimal places?
-0.000003
Round 25891749.2 to the nearest 100000.
25900000
Round 0.34743076 to one dp.
0.3
Round 195113.3457 to the nearest one thousand.
195000
What is -1.57605968 rounded to one decimal place?
-1.6
What is 0.000000684047133 rounded to seven decimal places?
0.0000007
What is 0.05837268111 rounded to two dps?
0.06
What is -1558.7618682 rounded to 1 decimal place?
-1558.8
What is -14049.0355 rounded to the nearest integer?
-14049
What is 57.37479 rounded to the nearest 10?
60
Round 0.0000004664057 to seven decimal places.
0.0000005
Round -0.0079275354 to four decimal places.
-0.0079
What is -0.00394348137 rounded to 7 decimal places?
-0.0039435
What is -12396.96719 rounded to the nearest integer?
-12397
Round 301699916 to the nearest 100000.
301700000
Round 0.00004636238 to 6 dps.
0.000046
Round -0.0001569485606 to five dps.
-0.00016
What is -0.00504104 rounded to 4 dps?
-0.005
What is 1014.830372 rounded to the nearest ten?
1010
Round 55899977.4 to the nearest one thousand.
55900000
What is -214.6571514 rounded to the nearest 10?
-210
What is 27565.7716 rounded to the nearest integer?
27566
Round 39332149 to the nearest one thousand.
393320 | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from fsffffapoopooffffff. What is prob of picking 2 f and 1 p?
110/969
Two letters picked without replacement from nunnunnhulhuhnnnnnn. What is prob of picking 1 n and 1 h?
11/57
What is prob of picking 4 c when four letters picked without replacement from {j: 2, c: 5}?
1/7
Four letters picked without replacement from nssssnsnss. Give prob of picking 1 s and 3 n.
1/30
What is prob of picking 1 f and 1 a when two letters picked without replacement from fqafreqqaaaqaaa?
2/15
What is prob of picking 2 m and 1 r when three letters picked without replacement from {r: 1, m: 2}?
1
Three letters picked without replacement from ozzz. What is prob of picking 3 z?
1/4
Three letters picked without replacement from {z: 1, v: 1, k: 1, m: 2, b: 2, f: 2}. Give prob of picking 2 m and 1 f.
1/42
What is prob of picking 1 x, 1 q, and 1 r when three letters picked without replacement from xrrrrxrqrqrrrqrrrxrx?
13/95
What is prob of picking 2 e and 1 v when three letters picked without replacement from xveqvqevqluevlvqvqu?
6/323
What is prob of picking 4 t when four letters picked without replacement from etuhuuuutehtetutuuuh?
1/969
Two letters picked without replacement from vvwhvwhdhvvwhhhwv. What is prob of picking 1 d and 1 v?
3/68
Four letters picked without replacement from {q: 7, i: 6, z: 4}. What is prob of picking 4 i?
3/476
Calculate prob of picking 1 o and 1 l when two letters picked without replacement from wookklssgoksslsssk.
2/51
Calculate prob of picking 2 n, 1 u, and 1 v when four letters picked without replacement from {n: 8, j: 2, u: 7, v: 3}.
196/1615
Calculate prob of picking 4 b when four letters picked without replacement from bnbnbbbbnbbnbnnbbb.
11/68
Two letters picked without replacement from ojjjjjsyj. Give prob of picking 1 o and 1 y.
1/36
Three letters picked without replacement from suyssqvs. What is prob of picking 1 y, 1 v, and 1 u?
1/56
Calculate prob of picking 4 n when four letters picked without replacement from {t: 1, n: 6, s: 7}.
15/1001
Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mwmwmmw.
4/7
Three letters picked without replacement from {q: 1, z: 1, l: 1, k: 4, e: 4}. Give prob of picking 1 z, 1 e, and 1 k.
16/165
Two letters picked without replacement from fqsmtmq. What is prob of picking 1 m and 1 q?
4/21
What is prob of picking 4 e when four letters picked without replacement from {e: 7, p: 7}?
5/143
Four letters picked without replacement from {m: 7, f: 2, w: 9}. What is prob of picking 1 w and 3 m?
7/68
Calculate prob of picking 2 g and 1 s when three letters picked without replacement from {s: 9, g: 5}.
45/182
What is prob of picking 2 w when two letters picked without replacement from wwwwwwwcywwwww?
66/91
What is prob of picking 1 j and 2 r when three letters picked without replacement from {a: 8, j: 1, r: 11}?
11/228
What is prob of picking 2 c when two letters picked without replacement from ccnncsn?
1/7
What is prob of picking 2 z when two letters picked without replacement from {z: 3, k: 11}?
3/91
Four letters picked without replacement from avsssssssvassiasasvs. Give prob of picking 1 i and 3 s.
44/969
What is prob of picking 3 m when three letters picked without replacement from {m: 3, i: 2}?
1/10
Calculate prob of picking 1 k, 1 s, and 1 i when three letters picked without replacement from nsdininndkiikn.
2/91
Four letters picked without replacement from dqdqedeseqdeqeme. What is prob of picking 1 s, 1 m, 1 q, and 1 e?
6/455
Calculate prob of picking 3 o when three letters picked without replacement from ooooo.
1
Four letters picked without replacement from {s: 5, l: 2}. What is prob of picking 4 s?
1/7
Three letters picked without replacement from svzvyqzqo. What is prob of picking 1 s, 1 o, and 1 q?
1/42
Calculate prob of picking 2 a and 1 t when three letters picked without replacement from aqttkqaqqu.
1/60
Calculate prob of picking 1 j, 1 f, and 1 l when three letters picked without replacement from {f: 2, g: 1, l: 7, d: 1, j: 4, u: 4}.
56/969
Calculate prob of picking 1 a, 1 r, and 1 u when three letters picked without replacement from uroqosqqauoasaou.
9/560
Two letters picked without replacement from sksssgwgwss. What is prob of picking 1 w and 1 k?
2/55
Calculate prob of picking 1 p and 1 o when two letters picked without replacement from cgjpwgo.
1/21
Calculate prob of picking 1 j and 1 z when two letters picked without replacement from jajzjjweajjgjj.
8/91
Calculate prob of picking 1 v and 1 t when two letters picked without replacement from otlojvjjj.
1/36
Calculate prob of picking 3 p and 1 k when four letters picked without replacement from tepbkkbkkpbptbpb.
4/455
Calculate prob of picking 2 k when two letters picked without replacement from {f: 2, b: 4, k: 5}.
2/11
Calculate prob of picking 2 g, 1 t, and 1 b when four letters picked without replacement from {x: 1, b: 1, g: 3, l: 2, t: 2, h: 3}.
2/165
Calculate prob of picking 2 c when two letters picked without replacement from cbncbtbnbcbxtbbbdbn.
1/57
What is prob of picking 1 r and 1 e when two letters picked without replacement from {g: 1, r: 5, z: 1, e: 3}?
1/3
Two letters picked without replacement from {w: 2, b: 3}. Give prob of picking 1 w and 1 b.
3/5
What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvv?
1
Calculate prob of picking 3 u when three letters picked without replacement from {q: 1, g: 2, y: 2, i: 3, u: 3, r: 4}.
1/455
Three letters picked without replacement from hgnhnb. Give prob of picking 2 n and 1 b.
1/20
Two letters picked without replacement from pttpttvwvmtutwt. Give prob of picking 1 w and 1 v.
4/105
Calculate prob of picking 2 w and 1 c when three letters picked without replacement from cyjwcwwwccccjc.
3/26
Four letters picked without replacement from {l: 2, a: 6, z: 3, q: 1}. Give prob of picking 2 z and 2 l.
1/165
Calculate prob of picking 2 y when two letters picked without replacement from pppyyppp.
1/28
What is prob of picking 3 u and 1 t when four letters picked without replacement from {t: 1, u: 14}?
4/15
What is prob of picking 1 x and 2 e when three letters picked without replacement from eexexeexeex?
28/55
Four letters picked without replacement from vvooootv. Give prob of picking 2 t and 2 v.
0
What is prob of picking 2 d and 2 p when four letters picked without replacement from mdmgqdpp?
1/70
Two letters picked without replacement from {n: 6, m: 6, v: 1, l: 4, x: 1}. What is prob of picking 1 x and 1 v?
1/153
What is prob of picking 2 a when two letters picked without replacement from {j: 1, y: 2, a: 5, o: 1}?
5/18
Two letters picked without replacement from {w: 7, b: 2, o: 2, z: 5, l: 4}. What is prob of picking 1 w and 1 o?
7/95
What is prob of picking 2 l and 1 b when three letters picked without replacement from {l: 2, c: 2, b: 4, n: 1}?
1/21
Three letters picked without replacement from wabbbawaabbabb. What is prob of picking 2 a and 1 w?
5/91
Two letters picked without replacement from {w: 1, j: 1, y: 2, k: 2, p: 1, e: 2}. What is prob of picking 1 e and 1 k?
1/9
What is prob of picking 1 j, 1 r, and 1 u when three letters picked without replacement from {w: 3, u: 2, r: 7, j: 5}?
7/68
Calculate prob of picking 1 d and 3 n when four letters picked without replacement from nnnnnnnd.
1/2
Calculate prob of picking 1 z and 2 s when three letters picked without replacement from {z: 9, s: 9}.
27/68
Calculate prob of picking 4 u when four letters picked without replacement from uufuuufufufuf.
14/143
Four letters picked without replacement from {p: 3, i: 7, o: 2, c: 1, s: 1, f: 3}. Give prob of picking 1 o, 1 p, 1 i, and 1 c.
3/170
Two letters picked without replacement from rraqggqo. What is prob of picking 1 q and 1 r?
1/7
Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {l: 1, g: 5, w: 3, r: 4}.
15/143
Three letters picked without replacement from {t: 1, u: 1, h: 1, r: 2}. Give prob of picking 2 r and 1 t.
1/10
Two letters picked without replacement from rrcc. What is prob of picking 2 c?
1/6
What is prob of picking 1 b, 1 u, and 1 e when three letters picked without replacement from ukxeb?
1/10
What is prob of picking 1 v and 1 d when two letters picked withou | {
"pile_set_name": "DM Mathematics"
} |
3*p - 79714 = 4*t + 5*p. Let h = 60926 + t. Round h to the nearest ten thousand.
40000
Let p = -123774676.60295 - -48.60295. Let j = -123774621.99999978 - p. Let k = -6 + j. What is k rounded to 7 dps?
0.0000002
Let d = -1.104 - 0.086. What is d rounded to 1 decimal place?
-1.2
Let o = 10733168 - -30266820. Suppose 0 = -b + v - 2*v + 8200004, 5*b - 3*v = o. Round b to the nearest one million.
8000000
Suppose 0*u = -2*q - u + 4, 8 = -2*u. Suppose q*t + 69599994 = -3*s + 5*s, -3*s - 69600009 = 4*t. What is t rounded to the nearest one million?
-17000000
Let h = -0.3882 + -73.1918. Let w = h + 1.58. Let v = -71.902 - w. What is v rounded to 2 dps?
0.1
Let t = -176 + 175.9999839. What is t rounded to five decimal places?
-0.00002
Let m be (-2470186)/(-2) - (-2 - -2). Suppose 5*b - 3999994 = 3*u, 5*u + m + 364897 = 2*b. What is b rounded to the nearest 1000000?
1000000
Let p be 2/7 - (-36)/(-28). Let c be 10297/1 + p + 4. What is c rounded to the nearest one thousand?
10000
Let u = -0.198097 - -0.198. What is u rounded to 5 dps?
-0.0001
Let j = 0.011 - -0.0002. Round j to three dps.
0.011
Let s = 0.334 + -0.114. Round s to one dp.
0.2
Let a = -48.347 + 59.1543. Let c = -10.8 + a. What is c rounded to 3 decimal places?
0.007
Let k = -19 + 17. Let o be (k/(-2))/(5/(-4200)). What is o rounded to the nearest one hundred?
-800
Let q = -51 - -50.866. What is q rounded to two dps?
-0.13
Let n = -0.52 + 0.520338. What is n rounded to 5 decimal places?
0.00034
Let n = 616.016 - 611. Let s = -5 + n. Let f = s - 0. What is f rounded to 2 dps?
0.02
Let m = -27 + 53. Let v = m + -25.99999947. Round v to seven decimal places.
0.0000005
Let p = 131999.931 - 131829. Let c = 171 - p. Let t = 0.0631 - c. Round t to 3 dps.
-0.006
Let h = 2.932 - 7.303. Let q = 0.189 - h. Let s = 5 - q. What is s rounded to one dp?
0.4
Let q = 0.4659186 + -0.466. Round q to five dps.
-0.00008
Let t(q) = -183458*q**2 + 518464*q**2 + 337712*q**2. Let n be t(-1). Suppose 2*s = -n - 227282. What is s rounded to the nearest one hundred thousand?
-500000
Let t = 6942069 - 6942177.99953. Let p = t + 109. Round p to four dps.
0.0005
Suppose 4*u = n - 544 - 731, n = u + 315. Let o be u*((-45)/6)/3. Let f = 400 - o. What is f rounded to the nearest one hundred?
-400
Suppose -2*y = -5*y + 81. Let z be (-1)/(((-3)/y)/(-1)). Let g(f) = -210*f**2 - f + 1. Let v be g(z). Round v to the nearest 10000.
-20000
Let a(j) be the first derivative of 167500*j**2 + 3. Let u be a(-4). What is u rounded to the nearest one hundred thousand?
-1300000
Let z = -1789 - -1804.048. Let w = -15 + z. What is w rounded to two decimal places?
0.05
Let h be (-132988281)/(-6) - 6/(-4). Let b = 12364715 - h. What is b rounded to the nearest one million?
-10000000
Suppose -5*l + 142595 = 3*y + 3404693, -l = 5*y + 652402. Suppose -752568 - 209854 = -x. Let s = x + l. What is s rounded to the nearest 100000?
300000
Let t = 36 - 36.0635. Let y = t + 9.8535. Let b = y - 0.49. What is b rounded to the nearest integer?
9
Let o = -0.124 + 0.124059. Round o to 5 dps.
0.00006
Let z = 1.20016 + -1.2. Round z to four decimal places.
0.0002
Let h = -1.1039101 + 1.104. What is h rounded to five decimal places?
0.00009
Let r = 2.7 + -2.69991. Round r to five dps.
0.00009
Let j = 0.02 + 0.78. Let d = 0.62 - j. Round d to 1 dp.
-0.2
Let h = -1.8 + 1.63. Let r = -19 - -19.03. Let c = r + h. Round c to one decimal place.
-0.1
Let l = 0.908 + -0.908000581. What is l rounded to seven dps?
-0.0000006
Let b = -50 - -49.99999924. Round b to seven decimal places.
-0.0000008
Let x = -8.3 + -6.2. Round x to zero dps.
-15
Let f = 0.044694 - 0.12419. Let h = -0.176402 - f. Let b = 0.097 + h. What is b rounded to five decimal places?
0.00009
Let x = 428.4 + -394.709. Let p = -0.791 + x. Let f = p - 45. Round f to the nearest integer.
-12
Let l(w) = w - 1. Let o be l(-3). Let a be 3/o - 3077/4. Round a to the nearest 100.
-800
Suppose -5*p + 3508 = -4*n, 0 = p + 5*n - 665 - 25. Round p to the nearest 100.
700
Suppose 0 = 3*y - 22 + 7. Suppose y*j + 3 = 8. Let k be j + 1 + 2 + -48004. Round k to the nearest ten thousand.
-50000
Let h = 8 - 6. Suppose -h*i + 0 + 6 = 0. Suppose f - 1 = -i. What is f rounded to the nearest ten?
0
Let y = -3 + 2.68. Let k = y + -10.38. What is k rounded to 0 dps?
-11
Let a = 0.215 - -128.785. Let c = -129.0057 + a. What is c rounded to 3 dps?
-0.006
Suppose 4*a - 500 = -8*c + 3*c, 5*a + 233 = 2*c. Let z(i) = -i**3 - i**2 + 2*i - 1. Let o be z(1). Let q be -2 + c - (o - -3). Round q to the nearest 1000.
0
Let c = 240.870616 + -560.8006. Let w = -320 - c. Let x = w - -0.07. What is x rounded to five dps?
-0.00002
Let n = -266.9999789 + 267. What is n rounded to five dps?
0.00002
Let l = -0.21 + 0.03. Let o = l + 0.163. Let b = o + -1.023. What is b rounded to one dp?
-1
Let l = -39.51 - -3.41. What is l rounded to the nearest 10?
-40
Let o = 238 + -238.0301. Round o to 3 decimal places.
-0.03
Suppose 0*g - 1848000 = 8*g. Round g to the nearest ten thousand.
-230000
Let r = 0.5 - 0.8. Let p = r - -0.27. Let g = -0.0299996 - p. Round g to 7 dps.
0.0000004
Let r = 20142136 + 21557864. Suppose -r = 8*d - 11*d. Round d to the nearest 1000000.
14000000
Let y = 81.1066 - 0.1166. Let c = -123 + 43. Let v = y + c. What is v rounded to 1 dp?
1
Suppose -2*i = -g - 13, -i + 3 = -2*g - 11. Suppose z = i*c - 10650, -z + 13308 = 3*c + 2*c. Suppose 7762 = -3*b + c. Round b to the nearest 1000.
-2000
Let m(s) = -5*s - 3. Let z(w) = 1. Let c(b) = -m(b) - 2*z(b). Let y be c(-1). Let k(j) = -22501*j - 4. Let h be k(y). What is h rounded to the nearest 100000?
100000
Let c = -1.1 - -0.6. Let m = c + 7.5. Let k = 7.000006 - m. What is k rounded to 5 dps?
0.00001
Let b(v) = 2*v**2 - v**2 - 3 - 3*v + 2*v - 1200438*v**3 - 3*v. Let k be b(-2). Suppose -5*t - 16396487 = k. What is t rounded to the nearest 1000000?
-5000000
Let o = -78401 - -78386.00088. Let v = o + 15. What is v rounded to 4 dps?
0.0009
Suppose 1 = d - 0*d, -36799996 = 2*h + 4*d. Round h to the nearest one million.
-18000000
Let d = -2349032.71696 - -1557522.126993. Let c = 791510 + d. Let f = c + 0.59. Round f to 5 dps.
0.00003
Let b = -22 - -34. Let f = b - 39. Let m = 27.062 + f. What is m rounded to 2 decimal places?
0.06
Let n = 1978165 + -1967029.896. Let r = n - 11143.1040015. Let h = r + 8. What is h rounded to six decimal places?
-0.000002
Let p = -625 - -1085. Round p to the nearest one thousand.
0
Let i = -136.2 + 104. What is i rounded to the nearest 10?
-30
Let z(v) = 8907*v**3 - 2*v**2 - 6*v + 8. Let l be z(4). What is l rounded to the nearest one hundred thousand?
600000
Suppose -5*u = 3*m + 60, 2*m - 5*u = -14 - 1. Let i be 7499995/m + 2/(-6). Round i to the nearest 1000000.
-1000000
Let a = 1.38 + -1.4. What is a rounded to two decimal places?
-0.02
Let w = 9820724.11300139 - 9820724. Let t = w + -0.113. Round t to seven decimal places.
0.0000014
Let w = 449 - 449.0607. What is w rounded to two dps?
-0.06
Suppose 87 = -5*x - 8. What is x rounded to the nearest integer?
-19
Suppose 0 = -t, -t - 3*t = -p - 19. Let n be p + (4/(-4))/1. What is n rounded to the nearest 100?
0
Let f = -0.32 - -0.32017. What is f rounded to 5 decimal places?
0.00017
Let k = 2.1 + -2.28. Round k to 1 decimal place.
-0.2
Let q = 96 + -95.9691. What is q rounded to 3 dps?
0.031
Let h = 377860521.28969923 - 1681338523.28970004. Let c = -1303478044 - h. Let y = 42 + c. Round y to 7 decimal places.
0.0000008
Let w = 1.55 + 3.52. Round w to 1 decimal place.
5.1
Suppose -284 = -5*k + 61136. Let n = k + 17428. Let b = n - -28288. What is b rounded to the nearest ten thousand?
60000
Let f = 47.5 - 9. Round f to the nearest 10.
40
Let n = -50931 + 50930.98899979. Let a = n - -0.011. Round a to seven decimal places.
-0.0000002
Suppose 19 = 5*a + 3*x, 0*x = -2*a + 3*x - 5. Let d(i) = -239*i**2 + 3*i. Let k be d(a). Round k to the nearest one hundred.
-1000
Let x = 44032721.999919 - 44032573. Let k = -121.1 + -27.9. Let r = x + k. What is r rounded to five decimal places?
-0.00008
Let o = 0.1358 - -13781.8642. Let t = o + -13831.043. Let k = t - -49. What is k rounded to 2 dps?
-0.04
Let m = -13 + 13.000112. Round m to 5 decimal places.
0.00011
Let p = -0.06 - -0.02. Let d = p - -0.03984. Round d to f | {
"pile_set_name": "DM Mathematics"
} |
second smallest value in 3006, 5, 0.5?
5
What is the fourth smallest value in 2/5, -1/3, 5.7, -1/2?
5.7
Which is the third biggest value? (a) 20/3 (b) 5 (c) 1/10
c
Which is the third smallest value? (a) -5 (b) 1 (c) 51 (d) 2/3
b
What is the second biggest value in -1, 6, 5?
5
Which is the second smallest value? (a) 35 (b) -0.5 (c) 0.08 (d) 0.3
c
Which is the smallest value? (a) 0 (b) 0.4 (c) 0.1
a
Which is the third biggest value? (a) -0.52 (b) -0.3 (c) 2
a
Which is the fifth smallest value? (a) -1/6 (b) 1/2 (c) 0.3 (d) -2 (e) 4
e
Which is the second smallest value? (a) 2 (b) -9 (c) 1 (d) -8
d
Which is the biggest value? (a) 5 (b) -2/3 (c) 52 (d) 0
c
What is the second biggest value in 7, 1, -2/41, 0.4?
1
Which is the biggest value? (a) 1/2 (b) 1 (c) -5/19
b
What is the second smallest value in 236, 0, 5?
5
Which is the third biggest value? (a) 0.057 (b) 10 (c) -4 (d) 0.4
a
Which is the second smallest value? (a) 3/5 (b) 3 (c) -3 (d) -4
c
What is the biggest value in -1/11, 2, 0, -1?
2
Which is the third biggest value? (a) 0.3 (b) -5 (c) -0.4 (d) 10
c
What is the second smallest value in 560, -0.5, -3/8?
-3/8
What is the third smallest value in 1/7, -1, 37, -2?
1/7
What is the second biggest value in 1/6, 537, 5?
5
Which is the biggest value? (a) -465 (b) -3 (c) 4/3 (d) 0
c
Which is the third biggest value? (a) 0.1 (b) 1.9 (c) -3 (d) -2 (e) -2/3
e
Which is the second smallest value? (a) 2/7 (b) -3/2 (c) 5/89
c
What is the third smallest value in 2/7, 14.988, 0.2?
14.988
Which is the third smallest value? (a) -0.058 (b) -0.1 (c) 2/15 (d) 0.3
c
Which is the biggest value? (a) -2/11 (b) -4.7 (c) -1
a
What is the third biggest value in 95, 2, 0.3?
0.3
Which is the second smallest value? (a) -7/3 (b) 2/9 (c) 20
b
What is the biggest value in -1/4, 0.2, -2/621, 4, -0.1?
4
What is the second smallest value in 0.3, -696, 1/3?
0.3
What is the second smallest value in -5, -2/7, -20, -4?
-5
What is the smallest value in -990, -4, -0.5?
-990
What is the smallest value in -1.57, 11, 1/8?
-1.57
What is the second biggest value in 57, 0, -1, 0.2?
0.2
What is the smallest value in 1/3, -0.02, 384?
-0.02
What is the third biggest value in 0.2, 1, -67, -1?
-1
Which is the fourth smallest value? (a) 14 (b) -2/7 (c) -7/6 (d) -3
a
What is the smallest value in 1.3, -0.2, 5/2, -3?
-3
What is the biggest value in -5, 3, 1, -42?
3
Which is the fourth smallest value? (a) -2/5 (b) 1.1 (c) -0.5 (d) 0 (e) 0.6
e
What is the third smallest value in -2/15, -2/3, -2/7, 10, 0.3?
-2/15
Which is the biggest value? (a) -5 (b) -1/6 (c) 0.018 (d) -2/13
c
Which is the smallest value? (a) 5 (b) -0.3 (c) 17 (d) 5/7
b
Which is the second smallest value? (a) -1.7 (b) 2/9 (c) 2/15 (d) -49
a
Which is the second smallest value? (a) -0.1 (b) -0.2 (c) -1/3 (d) 0.0075
b
Which is the biggest value? (a) 3 (b) -0.4 (c) -2 (d) 2/11
a
What is the biggest value in 0.01, 2/7, -0.5?
2/7
Which is the second biggest value? (a) -4 (b) -0.119 (c) 0.2 (d) 3 (e) 1/2
e
What is the second biggest value in -0.2, 0.116, -79/2?
-0.2
Which is the second biggest value? (a) 1 (b) 0.7 (c) 0.5 (d) 2/13
b
Which is the biggest value? (a) 0.5 (b) -3 (c) -1
a
Which is the third biggest value? (a) 2 (b) 0 (c) -76
c
Which is the third smallest value? (a) 2/5 (b) -0.3 (c) 29
c
What is the biggest value in 0.3, -7/2, 0.1, -2, 1/2?
1/2
Which is the fifth biggest value? (a) 36 (b) -4 (c) -3 (d) -1/6 (e) 0
b
Which is the third smallest value? (a) -0.2 (b) -0.3 (c) -0.4 (d) 464
a
Which is the fifth biggest value? (a) -3 (b) 5 (c) -0.2 (d) 2/9 (e) -0.01
a
Which is the third smallest value? (a) 0 (b) 0.295 (c) -0.1 (d) 0.4
b
Which is the third biggest value? (a) 4 (b) 0.4 (c) -3 (d) -4 (e) -1/3
e
What is the fourth biggest value in 0, 55, 3, -2?
-2
Which is the third smallest value? (a) 1/4 (b) -5 (c) -0.16
a
Which is the second biggest value? (a) -1.5 (b) -0.2 (c) -7 (d) -4 (e) -5
a
What is the biggest value in -2, 4, 0.5, 1.1?
4
What is the third smallest value in -0.4, 1/2, -5, 1/7?
1/7
Which is the fifth biggest value? (a) -3 (b) 5 (c) 0.3 (d) -0.054 (e) -1/5
a
Which is the third smallest value? (a) -2/265 (b) 2/9 (c) 3 (d) -0.5
b
Which is the second biggest value? (a) -0.5 (b) 3/4 (c) 1 (d) 0.8 (e) -2/3
d
What is the biggest value in 0.29, 0, -0.4?
0.29
What is the third smallest value in -0.4, 1/15, 5, 248?
5
What is the fourth smallest value in 1/4, -6, 5/3, -1/9?
5/3
Which is the second smallest value? (a) 8/177 (b) -2/3 (c) -0.3
c
Which is the fourth smallest value? (a) -1 (b) -29/5 (c) -0.46 (d) -5
c
What is the third smallest value in -5, -1/11, -6/7?
-1/11
What is the biggest value in -4, -10, 190?
190
Which is the third smallest value? (a) -14 (b) 5/4 (c) 5
c
Which is the fourth smallest value? (a) -3/5 (b) 73 (c) 2 (d) -0.1
b
Which is the second smallest value? (a) -339 (b) 3 (c) 1 (d) 5/2 (e) 0.7
e
What is the third biggest value in 5, 1/5, 0.5, 201, 0?
0.5
Which is the fourth biggest value? (a) -3 (b) -0.1 (c) 3 (d) 15
a
Which is the third biggest value? (a) 2/3 (b) 2/5 (c) 9/268
c
What is the fourth smallest value in -4, -2, -1, 0.08?
0.08
Which is the third biggest value? (a) -0.4 (b) 4 (c) -6.9 (d) 8/7
a
What is the fourth biggest value in 5, -1/7, 0.1, 2?
-1/7
What is the fourth biggest value in -4/5, -7, -4, 1/8?
-7
Which is the fourth smallest value? (a) -1.6 (b) -0.2 (c) -1 (d) -3.4
b
What is the third biggest value in 0.1, 6/43, -0.2, -1?
-0.2
Which is the fourth smallest value? (a) -0.3 (b) 2 (c) -1/74 (d) 0.2 (e) -0.4
d
What is the smallest value in -0.4, -3/7, -553, -5?
-553
Which is the biggest value? (a) -0.1 (b) 3/4 (c) 2 (d) 0.2
c
What is the second smallest value in -16, 5, -0.102?
-0.102
Which is the fourth biggest value? (a) 2/15 (b) -193 (c) -0.2 (d) 7
b
Which is the second biggest value? (a) 0.2 (b) 2833 (c) -0.1 (d) -2
a
What is the second biggest value in -0.2, -4, -18, 2/9?
-0.2
What is the second biggest value in 198, -0.5, 1/22?
1/22
Which is the fifth smallest value? (a) 0 (b) -5 (c) 0.04 (d) 1/6 (e) -3
d
Which is the second smallest value? (a) 11 (b) -3 (c) 0.3
c
What is the third biggest value in 92/9, 1/7, -3/7, -0.4?
-0.4
What is the biggest value in -5, 0.1, -3, 1, -103?
1
Which is the biggest value? (a) 0.47 (b) -1/3 (c) 5
c
Which is the second biggest value? (a) 147 (b) 5 (c) -1
b
Which is the third biggest value? (a) 3/7 (b) -0.1 (c) -1.4 (d) 0.3
b
Which is the fourth smallest value? (a) 3 (b) 5 (c) -0.002 (d) 0.1 (e) -0.1
a
Which is the fifth smallest value? (a) -19 (b) 1/2 (c) 0.1 (d) 0.2 (e) 2/13
b
Which is the second biggest value? (a) 0.07 (b) -0.3 (c) 6 (d) -2/7
a
Which is the second biggest value? (a) 4/25 (b) 1 (c) -0.5 (d) -0.4
a
What is the third smallest value in -190, -2/5, 2, 2/11?
2/11
Which is the fourth smallest value? (a) 1/7 (b) -0.4 (c) 69 (d) -5/3
c
What is the second smallest value in 3, 6, 6/5?
3
What is the second biggest value in -5, 4.85, 5, 0?
4.85
Which is the fourth biggest value? (a) 1/6 (b) -4 (c) 837 (d) -5 (e) 0
b
What is the second biggest value in -5, -39, 6?
-5
Which is the second biggest value? (a) 0.11 (b) -0.19 (c) 0
c
What is the third biggest value in 1/3, -0.2, 7.5, -0.3?
-0.2
What is the fourth smallest value in -0.4, 0.29, -2/115, 4?
4
Which is the biggest value? (a) -5 (b) 3/7 (c) 0.04
b
What is the second smallest value in 0.1, 0, 1/6, -377?
0
Which is the second smallest value? (a) 5/3 (b) -5 (c) 2 (d) 5/2
a
Which is the smallest value? (a) -1/5 (b) 1/7 (c) -2 (d) -7
d
What is the second smallest value in 0.06, -2/5, 0, -5?
-2/5
Which is the third smallest value? (a) 1 (b) 2/11 (c) -5
a
What is the fourth smallest value in 28/5, -0.4, -1/11, -4, 2/5?
2/5
Which is the third smallest value? (a) -1/6 (b) -5 (c) 2 (d) -320/3 (e) 4
a
What is the biggest value in -435, -0.3, 0.02?
0.02
What is the fourth biggest value in 10, 5, 0, -2, -4?
-2
What is the third biggest value in -21, 1, 4, -3?
-3
What is the third biggest value in -20, 2/655, 2/11?
-20
Which is the | {
"pile_set_name": "DM Mathematics"
} |
s - 6*s**3 + 6*s**2. What are the prime factors of w(-7)?
3, 7
Suppose -m + 6*h = -4267, -4*m - 19*h + 16952 = -14*h. List the prime factors of m.
4243
Suppose 26*j = j + 14250. What are the prime factors of j?
2, 3, 5, 19
Let v(w) = -w**2 - 4*w + 1. Let s be v(-3). Suppose -5*m - 3*f = -15 - 5, -20 = -5*m + s*f. Suppose 0 = m*z - 96 - 76. List the prime factors of z.
43
Suppose -12*d + 2064 = -660. List the prime factors of d.
227
Let d(w) = 14*w + 93. List the prime factors of d(10).
233
List the prime factors of (-40 - 377)/((-14)/8 + 1).
2, 139
Suppose -49*v - 8866 = -56592. What are the prime factors of v?
2, 487
Let u = 6 - 2. Let y = 2 + u. Let h(d) = d**3 - 6*d**2 + 3*d + 4. What are the prime factors of h(y)?
2, 11
Suppose 0 = 3*u - 4*u + 116. Suppose 4*n - u = -4*r, -r - 4*n = -n - 29. Let i = r - 6. List the prime factors of i.
23
Let z = -13 + -1. Let d(s) = -7*s + 2. List the prime factors of d(z).
2, 5
Let l(q) = -q**3 + 8*q**2 + 10*q - 6. Let r be l(9). Suppose -36 = -2*u + 4*p, -5*u + 8*p = 3*p - 75. List the prime factors of (r/6)/(2/u).
3
Let g(o) = 3*o - 5. Let j be g(4). Let l(p) = p**2 - 7*p + 1. Let h be l(j). List the prime factors of 3*(13 + 0) + h.
2, 5
Let j be (-4 - 8)*(-2)/3. Suppose 4*y = 6*y - j. Suppose 0*q - 208 = -y*q. List the prime factors of q.
2, 13
Suppose -2*l - 4*k + 693 = -l, -3*l + 2*k + 2037 = 0. What are the prime factors of l?
3, 227
Let p = 1699 + 607. List the prime factors of p.
2, 1153
Let r(o) = -o**3 - 30*o**2 + 36*o - 56. What are the prime factors of r(-32)?
2, 3, 5, 7
Suppose 34 = 2*v + 2*u - 20, 12 = 4*u. Let k = 19 + -23. Let h = v + k. List the prime factors of h.
2, 5
Suppose 598 = 2*d + 2*o, 723 = 3*d + o - 164. Suppose -3*a + d = -2*k, -490 = -5*a - 0*k - 4*k. Suppose 26 = -3*j + a. What are the prime factors of j?
2, 3
Suppose 0 = -o - 5*y - 37, -4*o + 4*y - 16 = 12. Suppose 3*d + 4*d = -903. What are the prime factors of d/(-9) + 4/o?
2, 7
Let c = 861 - 436. Let x = -268 + c. What are the prime factors of x?
157
Suppose -38*a = -5*b - 37*a + 631, -5*b - 2*a = -628. List the prime factors of b.
2, 3, 7
Let j(a) = 38*a**2 + 16*a - 46. What are the prime factors of j(3)?
2, 43
Let i = 69 - 101. Let x(a) = -3*a**3 + 4*a**2 - 2*a - 2. Let k be x(2). Let h = k - i. List the prime factors of h.
2, 3
Suppose 0*y + 2*f + 9 = 3*y, 0 = 5*y + f - 15. Let h = y + 1. Suppose -3*o + 52 = -h*z, -4*z + 72 = 4*o - 8*z. List the prime factors of o.
2, 5
Suppose -5*j - 29 = -24. Let y = j - -5. Suppose 2*o - 43 = r, 0*o + y*o - 5*r = 77. List the prime factors of o.
23
What are the prime factors of (-8)/(-108) + (-1527463)/(-837)?
5, 73
Let h = 1228 - -484. What are the prime factors of h?
2, 107
Suppose -20 + 8 = -3*c. Suppose 230 = 3*b + 5*q, 0 = c*q - 0 + 8. List the prime factors of b.
2, 5
Suppose 17*l - 43094 + 1529 = 0. List the prime factors of l.
3, 5, 163
Let i(j) = -j**3 - 16*j**2 + 7*j - 36. List the prime factors of i(-20).
2, 89
Let z = 25 + -22. Suppose 4*c = -5*s - 117, -z*s - 36 = -5*c + 12. What are the prime factors of s*((-32)/12 + 1)?
5, 7
Let c(u) = 8*u - u - 6*u - 7*u - 10. List the prime factors of c(-26).
2, 73
Suppose 0 = -5*l - 21 - 4. Let m be 2/2*(-10)/l. Suppose h + m*h - 102 = 0. List the prime factors of h.
2, 17
Suppose 6432 = 2*c - 4*t, 11*c + 12871 = 15*c - t. List the prime factors of c.
2, 1609
Let q = -15 - -17. Suppose 3*n - m - m = 103, 5*n + q*m = 161. What are the prime factors of n?
3, 11
Let s = 35 - 85. What are the prime factors of 277/5 + 20/s?
5, 11
Let r(c) = -3*c + 4. Let s be r(-2). Let a(l) = 19 + 14 - l**2 - s - l. What are the prime factors of a(0)?
23
Let k = 550 + -303. What are the prime factors of k?
13, 19
Let b = -24 + 27. Suppose -3*u = 5*j - 158 - 137, 3*u - 255 = b*j. Suppose 4*h = h + u. List the prime factors of h.
2, 3, 5
Let d = -22 + -14. Let g = d - -71. What are the prime factors of g?
5, 7
Let q(h) = 3*h**3 + 12*h**2 - h - 11. Let f(t) = -4*t**3 - 13*t**2 + t + 12. Let r(j) = 4*f(j) + 5*q(j). List the prime factors of r(7).
5, 7
Let t(s) = -11*s + 455. List the prime factors of t(37).
2, 3
Let t = 56 + -51. Suppose -4*n = -t*n + 46. What are the prime factors of n?
2, 23
Let n be 3/(-45)*-2 + (-12072)/90. Let c = 23 - n. List the prime factors of c.
157
Let k(l) = -l**2 - 8*l - 8. Suppose 6*p + 36 + 0 = 0. Let a be k(p). Suppose 0*u = 3*m + 3*u - 129, -a*m = -4*u - 172. What are the prime factors of m?
43
Let v(m) = -129*m - 102. List the prime factors of v(-6).
2, 3, 7
Let t = -1243 - -1787. Suppose -6*m + 50 + t = 0. List the prime factors of m.
3, 11
List the prime factors of (-525)/(-2) - 33/(-66).
263
Suppose 0 = 15*f - 10*f + 435. Let j = 37 - f. List the prime factors of j.
2, 31
Let l = -140 + 77. List the prime factors of 7/(l/(-12))*129.
2, 43
Let p = 117 + -110. List the prime factors of p/(126/(-60))*324/(-10).
2, 3
Suppose 4*s - 2*y = 0, -4*s - 3*y = -0*y. Suppose s = 6*l - 93 - 543. What are the prime factors of l?
2, 53
Let t(o) = -o**2 + 5*o. Let c be t(5). Let w = 262 + -259. Suppose -4*h + 105 = -c*f - 3*f, -2*h + 51 = -w*f. List the prime factors of h.
3
Let o(v) = 2*v**2 + 4*v**2 - 7*v - v**2 + 0*v**2. Let s be o(-3). Let i = -29 + s. List the prime factors of i.
37
List the prime factors of 60*(76/30)/((-15)/(-150)).
2, 5, 19
Let o be -11 + (0 - 4) + -3. Let f be o/(-45)*(-40)/(-2). Suppose -40 - f = -3*b. List the prime factors of b.
2
Suppose -534 + 1777 = 11*g. What are the prime factors of g?
113
Let w = 1911 + -310. List the prime factors of w.
1601
Let a(t) = 12*t**2 - 38*t + 8. What are the prime factors of a(6)?
2, 53
Suppose -2*v = -5*v - 57. Let b = v - -35. What are the prime factors of b?
2
Suppose 2*r = 5*m - 130, -2*r - 135 = -4*m - 3. Let u be -100 + 1 + 1 + -1. Let b = r - u. List the prime factors of b.
29
Let u(v) = v**3 - 11*v**2 + 11*v - 5. Let c be u(10). Suppose -c*f - 29 + 4 = 0. What are the prime factors of (-1)/1 - (f - 3)?
7
Suppose d - 4*r + 434 = 2*d, 5*d = -r + 2208. What are the prime factors of d?
2, 13, 17
Suppose 0 = 42*t + 50389 - 151147. List the prime factors of t.
2399
Let k(s) = 15*s**2 - 12*s - 12. Let t(y) = -16*y**2 + 13*y + 14. Let q(r) = 6*k(r) + 5*t(r). What are the prime factors of q(-5)?
283
What are the prime factors of (348/203)/((-6)/(-105))?
2, 3, 5
Suppose 6*h - 2068 = -5*h. Let d = -85 + h. What are the prime factors of d?
103
Let y(b) = b**3 - 6*b**2 + b - 1. Let a = -6 + 12. Let c be y(a). Suppose c*r = r + 60. List the prime factors of r.
3, 5
Let v be (-1)/5 - (-281)/5. Let z(f) = -f**3 - 23*f**2 - 23*f - 5. Let h be z(-22). Let s = v - h. List the prime factors of s.
3, 13
Suppose 3*a + 2*s + 240 = -s, 2*a + 3*s + 156 = 0. Let j = a + 194. What are the prime factors of j?
2, 5, 11
Suppose -5*h + 19 = -4*s, -2*h = 5*s + 5 - 39. Suppose m - 2*m - h = 0. Let w = m - -30. What are the prime factors of w?
23
List the prime factors of (3 - 19)*(402/(-4) + 2).
2, 197
Let l(n) = 51*n**3 - 5*n**2 + 6. List the prime factors of l(3).
2, 3, 223
Suppose 5*p = 763 - 38. List the prime factors of p.
5, 29
Suppose 5*i = 3*i - 2. Let o(q) = -11*q**2 + 2*q + 1. Let p be o(i). Let u = 40 + p. What are the prime factors of u?
2, 7
Let l = -17 - -40. Suppose -86 = -i + 5*q + l, 0 = -2*q - 2. What are the prime factors of i?
2, 13
Suppose l - 26 = -10. Suppose -5*f + 9 = -3*d - l, 2*f = -3*d + 10. Suppose -11 + 86 = 5*a + 4*k, d = 4*a - 2*k - 60. What are the prime factors of a?
3, 5
Suppose -4*h - 15642 = -5*c, 54*c = 51*c - h + 9392. What are the prime factors of c?
2, 5, 313
Suppose 46*x = -2*g + 50*x + 5356, 4*g - 10712 = 2*x. List the prime factors of g.
2, 13, 103
Let b = 11 - 11. Suppose -v - 2 = 1, b = -5*i + 4*v - 3. Let l = 5 + i. List the prime factors of l.
2
Let s be 22/(-99) - (-1847)/9. Suppose s*i = 204*i + 261. What are the prime factors of i?
3, 29
List the prime factors of 87256/130 - (2 + 4/(-5)).
2, 5, 67
Suppose c = 4*r - 5*r - 1, -2*c = 4*r. What are the prime factors of (-5 - c) + 16/2?
5
Let q(c) = 5*c + 1. Suppose -2*r + 6*r = 28. Let p(v) = v**3 - 6*v**2 - 7*v + 6. Let m be p(r). What are the prime factors of q(m)?
31
Let u(p) = 6*p**2 - 27*p - 323. What are the prime factors of u(28)?
5, 29
Suppose 4*i - 2*v = v - 160, -120 = 3*i - 3*v. Let z | {
"pile_set_name": "DM Mathematics"
} |
and y.
18
Suppose 8*l - 80 = 3*l. Let o be 8/(-28) + l/7. Calculate the highest common divisor of 10 and o.
2
Let a(q) = -3*q - 4. Let i be a(-6). Calculate the greatest common divisor of i and 154.
14
Let x be (242/(-55))/(2/(-30)). Calculate the highest common factor of 6 and x.
6
Suppose -m = 3*u - 12, 5*u = -11 - 14. Let s = m - 11. What is the highest common factor of 32 and s?
16
Suppose 0 = 54*v - 53*v - 33. What is the greatest common factor of v and 11?
11
Suppose -5*h + 3*d = -465, -4*h = -3*d + 4*d - 389. What is the greatest common divisor of h and 12?
12
Let a(w) be the first derivative of -w**4/4 - 4*w**3/3 + 5*w**2/2 + 6*w - 1. Let m = -3 - 2. Let l be a(m). Calculate the highest common divisor of 4 and l.
2
Let u be (1/(-2)*-2 + -2)*-9. Calculate the greatest common divisor of 72 and u.
9
Let b(u) = 2*u**3 - 7 + 0*u**3 - u + u**2 + 0*u**3 + u**3. Let f be b(3). Calculate the greatest common factor of f and 32.
16
Suppose 0 = -3*r - 14 + 53. Let o = r - 21. Let u = -5 - o. What is the highest common factor of u and 33?
3
Let i = 89 + -53. Calculate the greatest common factor of 36 and i.
36
Let s(r) = 5*r - 21. Let y be s(9). Let j = 34 - y. What is the highest common divisor of 25 and j?
5
Let c be (-24)/8*24/(-9). Calculate the greatest common divisor of 16 and c.
8
Let c = 78 + -41. Suppose -5*n - 3*x + 65 = 0, 3*x = -3*n + 8 + c. Calculate the greatest common factor of 20 and n.
10
Suppose a = 4*s + 219, -4*a + 2*s + 912 = -2*s. Calculate the greatest common factor of a and 33.
33
Let y = -14 - -22. Calculate the highest common divisor of 2 and y.
2
Suppose l = -8*o + 10*o - 125, 2*o - 4*l = 140. Let i(c) = 10*c**2. Let k be i(-1). What is the highest common factor of o and k?
10
Suppose -d = -2*d + 3*j + 298, 0 = 5*d - j - 1504. What is the highest common factor of 43 and d?
43
Let v(p) = -p**3 + 12*p**2 - 5*p + 4. Let y be v(11). Calculate the greatest common factor of y and 28.
14
Suppose -y + 21 = 4*u - 0*u, -5*u = -4*y + 21. Calculate the highest common factor of 63 and y.
9
Suppose -4*q + m + 61 = 0, -5*q - m + 74 = -0*m. What is the highest common divisor of 315 and q?
15
Suppose 24 = -2*w + 4*w. Let u be 5 - (3 - 2/2). What is the greatest common divisor of w and u?
3
Let v be (1/(-2))/((-2)/(-120)). Let x be 1/5 - 54/v. Suppose -26 = -b - x*q - 3*q, -3*b = 4*q - 56. What is the highest common divisor of b and 32?
16
Suppose 0 = -i + 71 + 83. Suppose 4*n - 53 = -4*v + 3*n, 0 = 4*n + 12. Calculate the highest common divisor of v and i.
14
Let n(x) = -x**3 - 6*x**2 + 1. Let g be n(-6). Let s be (g + -4)/6*-2. Suppose j + 4 = 0, 4*p + 5*j + 2 = -10. What is the greatest common factor of s and p?
1
Suppose -3*q = -q + 5*j - 38, q = -4*j + 22. Calculate the highest common factor of 28 and q.
14
Let v be ((-7)/(21/(-204)))/((-4)/(-2)). What is the greatest common factor of 51 and v?
17
Let b = -55 - -23. Let p be (b/(-12))/(2/12). Suppose 4*d + 0*d = 2*v - 2, 4*v - p = 2*d. What is the highest common divisor of d and 14?
2
Suppose 2*c = -6*s + s + 806, -317 = -2*s + c. Let m = 6 + 14. What is the highest common divisor of m and s?
20
Suppose -9*r - 76 = -5*r. Let k = -14 - r. Let c = 24 + -4. What is the greatest common factor of k and c?
5
Let u be 279 - (-1)/(-1)*-1. Suppose -8*y = -4*y - u. Let k = -22 + 36. What is the greatest common divisor of y and k?
14
Let p be 3/(6/(-2)) - 0. Let t be 0 - 1*106*p. Suppose 2*h + d = 237, -5*h + 4*h = 3*d - t. What is the greatest common factor of h and 11?
11
Suppose -2*i + 120 = i. Let d(g) = -g**3 + 5*g**2 - 5*g + 6. Let y be d(4). Let o be (-7 + y)*(-1 - 1). What is the greatest common divisor of i and o?
10
Suppose -4*r - 1 = -3*q - 0*q, -q = -2*r + 1. Suppose -q*p + 2*j = -48, -4*j - 9 + 3 = -p. What is the greatest common factor of p and 162?
18
Let s be 92/2 + (-5 - -7). Calculate the greatest common divisor of 6 and s.
6
Let r be (165/44)/(6/16). Let k(q) = -19*q + 1. Let g be k(-1). Calculate the greatest common factor of r and g.
10
Let d = -1 - -8. Let k = -5 + d. Suppose 7*u = k*u + 150. What is the highest common divisor of 10 and u?
10
Suppose -2*a = -7*a + 735. Calculate the greatest common divisor of 21 and a.
21
Suppose -4*l = t - 86, -5*l + 70 + 33 = -t. What is the greatest common divisor of l and 14?
7
Let u(k) = -k**2 + 5*k - 3. Let s = 9 + -5. Let n be u(s). Let a be 4 - (2 + -1)*n. What is the highest common divisor of 1 and a?
1
Let q be 9/2*(-4)/(-6). Suppose -q*p - f + 190 = f, 123 = 2*p + 5*f. Calculate the greatest common divisor of 8 and p.
8
Let p(k) = -k**2 - 7*k + 4. Let r be p(-6). Let b be 3/12 - (-78)/8. What is the highest common divisor of b and r?
10
Let u = 5 + 15. What is the highest common divisor of u and 50?
10
Let l = -407 - -572. What is the highest common factor of l and 15?
15
Let q(a) be the second derivative of -a**3/2 - a**2 + 2*a. Let x be q(-1). What is the highest common divisor of 4 and x?
1
Let w be 18/4 + (-6)/4. Suppose 0*j + 36 = w*j. Calculate the highest common factor of 96 and j.
12
Let z be 459/5 - 3/(-15). Let p be -1 - (0 - 4*6). What is the greatest common divisor of z and p?
23
Let z be 4*(-23)/4*-1. Suppose -2*q - 5*j + 439 = -0*q, 5*q = 5*j + 1010. What is the greatest common divisor of z and q?
23
Let q be 15/(-3)*78/(-15). Suppose 4*d + 6 + q = 0. Let y = -1 - d. Calculate the greatest common divisor of y and 77.
7
Let m be 0 + (-5)/(10/(-8)). Suppose -2*n + m = 0, 3*n - 12 = -3*u - 0. What is the greatest common factor of 10 and u?
2
Let f be (-423)/(-5) + 8/20. Calculate the greatest common factor of f and 17.
17
Suppose 3*f - 4*f = -5. Let w = f + -6. Let y be -1 + 1/(w/(-2)). What is the highest common factor of y and 7?
1
Let h(d) = d**2 + 1. Suppose 0*v = -5*v. Suppose -3*a + 1 + 2 = v. Let z be h(a). What is the highest common divisor of z and 16?
2
Let m be 11190/75 + (-4)/(-5). Calculate the highest common divisor of m and 30.
30
Let c(a) = -21*a + 31. Let y be c(-9). Suppose 0 = 3*g + 34 - 94. Calculate the highest common factor of y and g.
20
Let g(q) = q**3 - 4*q**2 + 4*q - 2. Let c be g(3). Let j be 18*c/(6/20). Calculate the greatest common divisor of 20 and j.
20
Let s(t) = 2*t + 14. Let n be s(0). Suppose 0 = 3*k - 41 + n. Let x = 209 - 137. What is the highest common factor of k and x?
9
Suppose -4*v = 4*p, p + 3*p + 25 = v. Suppose 2*h = 5*f - 808, 0 = 2*f - v*h - 0*h - 319. Calculate the greatest common divisor of f and 18.
18
Suppose 2*k = 2*u - 122, 5*u - k + 0*k = 325. Let b be (-4 - 0)/((-4)/22). What is the highest common factor of b and u?
22
Suppose 3*v = 2*a + 40, a + a = -4. Calculate the greatest common factor of v and 96.
12
Let g(p) = -9*p - 4. Let m(a) = 14*a + 6. Let r(s) = -8*g(s) - 5*m(s). Let i be r(2). Calculate the greatest common divisor of 9 and i.
3
Suppose 12*x + 51 = 9*x. Let p = -15 - x. Calculate the highest common divisor of 14 and p.
2
Let w be (5 - 1)/(1 - 2). Let f(m) = -2*m + 4. Let u be f(w). What is the highest common factor of u and 84?
12
Suppose 0 = r + 11 - 27. What is the greatest common divisor of 8 and r?
8
Let k = -26 - -45. Suppose 0 = 4*y + 4*c - 444, 5*c = y - 136 + k. Suppose 0*p - 28 = -2*p. What is the greatest common divisor of y and p?
14
Suppose 3*x = 16 + 74. Suppose z + 14 = 3*z. Let k be 2/z + 103/7. Calculate the greatest common divisor of k and x.
15
Suppose 3*h + 2*h + 30 = 4*o, -4*o = h - 18. Let r = -1 - h. Let v be 4/(-14) - (-37)/7. Calculate the greatest common factor of r and v.
1
Let u be -3*3/9*-25. Suppose -2*f - 650 = -2*n - 200, f = 2*n - 450. What is the highest common factor of n and u?
25
Suppose 2*i - 2*j - 8 = 0, 4*i - 9 = 2*j + 11. Suppose -z - 20 = -4*s + 2, 2*s - 2 = 5*z. What is the greatest common factor of s and i?
6
Let d be 1/6 + 639/54. Let s be d/16 + (-387)/(-12). Calculate the greatest common factor of 3 and s.
3
Let p be (8/16)/(2/92). What is the greatest common divisor of 23 and p?
23
Let l = 14 + -10. Let q(j) be the first derivative of 2*j**3/3 - 3*j**2 + 3*j - 2. Let y be q(l). Calculate the highest common divisor of 1 and y.
1
Suppose 0*y + 5*y - 20 = u, 5*u = 5*y. Calculate the greatest common divisor of 55 and y.
5
Let b = 772 + -136. Let g be b/30 - 1/5. Calculate the highest common factor of g a | {
"pile_set_name": "DM Mathematics"
} |
3*c, -2*c - 1697 = -n*q. What is the units digit of q?
9
Let y = 10487 - 5472. What is the units digit of y?
5
Suppose 3*x - 11553 = -5*m + 6149, 4*m - 3*x = 14167. What is the units digit of m?
1
Let g(z) = -3*z**3 - 32*z**2 + 13*z + 16. Let q be g(-11). What is the units digit of (-30)/(-45) + (-4148)/q?
2
Suppose -9 = -3*y + 3, 51 = -5*g - y. What is the hundreds digit of (-47250)/(-77) + (-4)/g?
6
Let w = -19914 - -56990. What is the hundreds digit of w?
0
Suppose -55 + 11 = 2*d. Let o = -12 - d. Suppose -968 = 2*x - o*x. What is the tens digit of x?
2
What is the tens digit of (-4)/10*-857*(-127 + 137)?
2
Let x = -1230 - -2900. Suppose 68*y - x = 63*y. What is the hundreds digit of y?
3
Suppose -2*s + 7*s = 0. Suppose s = -6*r + 2*r. Suppose 0 = 2*l - 4*w - 6, r = -3*w - 3. What is the units digit of l?
1
Let a = -32439 - -40831. What is the hundreds digit of a?
3
Let s(c) = -5*c**3 + c**2 + 20*c - 23. Suppose -5*i - 11 = 9. Let v(r) = -2*r**3 + 7*r - 8. Let b(t) = i*s(t) + 11*v(t). What is the tens digit of b(-4)?
8
Let a be (6 - 9)*(-1)/2*2. Suppose 2*v + v + 3*i = 924, -2*i = -a*v + 929. What is the tens digit of v?
0
Let p(z) = z**3 + 9*z**2 + 11*z + 7. Let b = -10 - -4. Let x be p(b). Suppose -x = -3*v + 233. What is the tens digit of v?
9
Suppose -3*f + 369 = -3*t, 3*f + 3*t - 471 = -f. Let c = -120 + f. Suppose 5*o - k - 815 = 0, c = o + 5*k - 9*k - 182. What is the tens digit of o?
6
Let s be 1/((-6)/99)*-68. Suppose 0 = -5*y + 12 + 3. Suppose y*o = -8*o + s. What is the units digit of o?
2
Suppose 11*h = 7*h, -2*f + 1852 = -5*h. What is the hundreds digit of f?
9
Let z be 3/(-4*(-7)/28). Let w(v) = 28*v**2 - 14*v + 36. What is the units digit of w(z)?
6
Let j be (-27)/(-6)*20/(-15) + 1. Let i(u) = -72*u + 100. What is the hundreds digit of i(j)?
4
Suppose 160*w + 3*b = 158*w + 35242, -4*w + 5*b + 70506 = 0. What is the hundreds digit of w?
6
Let f be 1/((2 - 0)/(-142)). Let o = f + 74. What is the tens digit of ((-11)/o)/((-4)/144)?
3
Suppose -29*r - 44424 = -3*y - 26*r, y = 4*r + 14802. What is the units digit of y?
0
Let m = 150 + -145. Let f(d) = 24*d - 7. Let x(c) = -24*c + 6. Let l(z) = -3*f(z) - 4*x(z). What is the tens digit of l(m)?
1
Suppose 2*q + w = -2*q + 381, 5 = w. Suppose -10348 + 2120 = -50*z + 2372. Suppose -d - 2*l = -q, 4*l - 2*l + z = 2*d. What is the tens digit of d?
0
Suppose -2*m + 5*a - 16 = 0, m + a = -0*a + 6. Suppose 0*f - m = -f. Suppose 3*z + 203 = 2*u, 4*u = z + f*z + 403. What is the hundreds digit of u?
1
Let r(l) = l**3 - 7*l**2 - 5*l - 22. Let v = -129 + 137. Let x be r(v). What is the tens digit of x + (-1 - 972/(-6))?
6
Let r be (-2)/4 + (-2)/(-4). Suppose -2*b + 2010 = -r*b. Suppose 7*p - b = -172. What is the hundreds digit of p?
1
Let l = -6573 - -6760. What is the units digit of l?
7
Let d = -33779 - -47316. What is the ten thousands digit of d?
1
Let i(p) = 11*p**2 + 1. Let q(h) = -4*h**2 - 39*h + 16. Let k be q(-10). What is the tens digit of i(k)?
9
Suppose 0 = 2*m - 1239 - 1225. Suppose -105*z = -98*z - m. What is the hundreds digit of z?
1
Let s = 6036 + 40782. What is the units digit of s?
8
Let r(j) = -15*j**2 + 0*j**3 - 16*j + 17*j + 9*j**2 - 21 - 3*j**3. What is the hundreds digit of r(-6)?
4
Suppose 44*b - 534933 = -51*b + 32*b. What is the units digit of b?
1
Suppose -11*s = -2*s. Suppose 4*c + 2 - 10 = -2*a, s = -c + 2*a + 2. Suppose j = 1, -c*w - 2*w - j = -457. What is the hundreds digit of w?
1
Let t = 9 - 20. Let k(i) = -13*i**2 + 4 + 5*i + 6*i**2 + 8*i**2. What is the units digit of k(t)?
0
Suppose 4*d + 4*n = 34484, -6772 = 2*d + 5*n - 24008. What is the thousands digit of d?
8
Suppose 35*d - 103*d + 2917336 = 84*d. What is the thousands digit of d?
9
Let b(v) = -v**3 + 17*v**2 - 2*v + 28. Let y be b(14). Let c = y - 337. Suppose 0 = k + 4*k + 2*w - 1247, -2*w = k - c. What is the units digit of k?
9
Let s be 15*(147/98 + (-1)/2). Let k(c) = -c + 1. Let n(j) = j + 28. Let v(d) = -2*k(d) + n(d). What is the tens digit of v(s)?
7
Let w = -13 - -13. Let m(v) = -3*v + 2*v**2 + 4 + w*v**2 - v**2 + 18*v. What is the units digit of m(-15)?
4
Suppose -3*h = -5*i - 25, -3*h + 0*h = 2*i + 10. Suppose h*a - 3*a - 4*d + 787 = 0, 0 = 2*a - d - 532. What is the tens digit of a?
6
Let y(q) = -q + 1. Let r(x) = -x - 21. Let f(t) = -r(t) - 2*y(t). Let p be f(-4). What is the units digit of (6 + 7 + -6)*2/p?
2
Let u be (27/12)/((-3)/12). Let b = -9 - u. Let r(d) = -d**2 + d + 48. What is the tens digit of r(b)?
4
Suppose 2*x = -4*i + 4514, 0 = -3*x + 3. Let j = i - 578. Suppose -5*w + j + 185 = 0. What is the units digit of w?
7
Let p be (-48)/(-42) - (-56157)/(-21). Let v = p + 3786. What is the hundreds digit of v?
1
Suppose 15*h = -1414 + 6109. Let r = -166 + h. What is the hundreds digit of r?
1
Let d(j) = 14*j - 1. Let s be d(9). Suppose w - 2*h + 5*h + 4 = 0, 3*w = -5*h. Suppose 0 = 5*y + 2*c - s, -c + 0*c = w*y - 130. What is the tens digit of y?
2
Let m(j) = 14455*j - 58. What is the thousands digit of m(2)?
8
Let r = 700 - -5065. What is the hundreds digit of r?
7
Let r = 257 + -487. What is the units digit of (r/(-6))/(12/108)?
5
Suppose 93*a - 18 = 99*a. Suppose -4*v + k + 5 = 20, 0 = 4*v - 3*k + 21. What is the units digit of v + (-420)/(a - 1)?
2
Suppose -1980 + 261 = -9*i. Suppose 0 = q - 2*q + i. What is the tens digit of q?
9
Let k = -19756 + 36485. What is the thousands digit of k?
6
Suppose 119406 = 5*j + 5*l - 49554, 2*j - 2*l = 67608. What is the thousands digit of j?
3
Suppose 3*n + 4*i = 543, 3*n = -0*n + 2*i + 543. Let f = n + 510. What is the units digit of f?
1
Suppose -4*v - 4*m = -22060, 0 = -3*m - 30 + 21. What is the units digit of v?
8
Let y = -128 + 126. What is the hundreds digit of ((24/(-8))/6)/(y/608)?
1
Suppose 2*b - 20 = -3*j, 0 = -2*j + 5*j. Suppose m - 1 + 3 = 0, n = 5*m + b. Suppose -6*s = -n*s - 1218. What is the tens digit of s?
0
Suppose 271433 = 5*o - 4*j, -8*o = -16*o + 4*j + 434300. What is the thousands digit of o?
4
Let g = -90 - -93. Let u be (1/g)/(20/(-120)). What is the tens digit of (-256)/6*(-3 - u - 5)?
5
Let l(z) = -1918*z + 5023. What is the ten thousands digit of l(-21)?
4
Suppose -6 = -2*b, -48*b = f - 53*b - 1334. What is the hundreds digit of f?
3
Let b be 230 + (-6 + 6 - -2). What is the units digit of 122467/b + 1/8?
8
Let c(g) = 30*g - 60. Let u(x) = x**2 - 22*x + 124. Let o be u(9). What is the hundreds digit of c(o)?
1
Let q(t) = 3*t**3 - 32*t**2 + 41*t + 65. What is the thousands digit of q(23)?
0
Suppose -2*t + 5*j = -24 + 9, -t + 5*j + 10 = 0. Suppose 4*y - 2*f = 796, 0*y = 5*y - t*f - 985. What is the hundreds digit of y?
2
Let k(b) = -14*b**3 + 5*b**2 + 12*b + 7. Let p be k(-3). Suppose 4*x - 5*r - 788 = 0, -31*x + 29*x = -4*r - p. What is the tens digit of x?
9
Let a be 0 + ((-468169)/(-9) - (-86)/387). Suppose a = 31*r + 17020. What is the thousands digit of r?
1
Let k = 91203 + -38497. What is the units digit of k?
6
Let y(v) = v**2 + v - 15. Let x be y(-3). What is the hundreds digit of (-103740)/(-90) - 12/x?
1
Let g(o) = 3*o - 13. Let i be g(9). Suppose -20 + 36 = 8*n. Suppose 0 = -n*c + m + i - 5, -20 = 4*m. What is the units digit of c?
2
Let p(y) = -11*y - 1. Suppose 0 = -2*a - 8, -a + 20 = 5*f - 16. Suppose -f = 2*s - 0. What is the units digit of p(s)?
3
Let i(v) = v**3 - 74*v**2 + 41*v + 238. What is the units digit of i(74)?
2
Let f(y) = -6*y + 43. Let d be f(6). Suppose 10*c - d*c = 393. What is the hundreds digit of c?
1
Let d be (-30)/(-34) + (-24)/(-204). Suppose o = -4, -48 + d = -p - 3*o. What is the tens digit of p?
5
Let b be 1/((7 - 4)/6). Suppose -5*q + b*r + 1181 = -0*r, 2*q + r = 476. Suppose q + 75 = 5*k + 2*f, -181 = -3*k + 5*f. What is the units digit of k?
2
Suppose -3*q + 39 - 15 = 4*p, -q + 13 = 3*p. Suppose -5*v + 2565 = s, -4*v + 1072 + 991 = p*s. What is the tens digit of v?
1
Let j = 16002 - 12530. What is the thousands digit of j?
3
Suppose -3*q = 3*u + 54, u + 3*u + 3*q + 68 = 0. Let k(n) = 15*n - 20. Let c be k(u). Let i = c - -503. What is the units digit of i?
3
Let n = -227 + 129. What is the hundreds digit of ((-1)/(6/1348))/(n/147)?
3
Let y(h) = h**2 + 13*h - 1. Let p be y(-13). What is the tens digit of p - ((-139)/1 + 1)?
3
Let f(x) = 45*x**3 - 23*x**2 + 218*x - 4. What i | {
"pile_set_name": "DM Mathematics"
} |
qrt(204) + 1*sqrt(204))/sqrt(12))**2.
12*sqrt(17) + 145
Simplify 1 + sqrt(80) - ((sqrt(180)/sqrt(3) - sqrt(60))/sqrt(12))**2.
1 + 4*sqrt(5)
Simplify (2*sqrt(36) + sqrt(36))/sqrt(192).
3*sqrt(3)/4
Simplify 5*(sqrt(5) - (sqrt(5) + 1)) + (1*sqrt(5) + -3)**2.
-6*sqrt(5) + 9
Simplify 5*((sqrt(3) + (sqrt(9)*-1)/sqrt(3))**2 + 0 + sqrt(6)/sqrt(2)).
5*sqrt(3)
Simplify (sqrt(228) + (sqrt(228) - (-2*sqrt(228) - sqrt(228)))*1 + sqrt(228))/((sqrt(12) - 1*sqrt(12))*2 + sqrt(12)).
6*sqrt(19)
Simplify (sqrt(114)/sqrt(6))**2*5 + ((3 + sqrt(19) - sqrt(19)) + sqrt(19))*5.
5*sqrt(19) + 110
Simplify (sqrt(24)/(sqrt(8) - 4*sqrt(8)))**2*4.
4/3
Simplify ((sqrt(99) + -1)**2 - sqrt(99) - sqrt(99)) + sqrt(99) + (sqrt(99)*1)**2.
-9*sqrt(11) + 199
Simplify ((-6*(sqrt(143) - (sqrt(143) - sqrt(143)*-4)) - sqrt(143))/sqrt(11))**2.
6877
Simplify (-2*sqrt(3))**2*-1*-3.
36
Simplify (sqrt(224)/sqrt(2))**2 - (2 + sqrt(1008)).
-12*sqrt(7) + 110
Simplify (-2*sqrt(396)*-2*2)**2.
25344
Simplify (sqrt(192) - 1*sqrt(12))**2.
108
Simplify (((sqrt(130) + (-1*sqrt(130) - sqrt(130)) + sqrt(130) - sqrt(130))*-1)/(-4*(sqrt(10) - -2*sqrt(10))))**2.
13/144
Simplify (3*(sqrt(19) - (sqrt(95)/(sqrt(45)/sqrt(9)) + sqrt(19))))**2.
171
Simplify 0 + (-3 + sqrt(425) + sqrt(425))**2.
-60*sqrt(17) + 1709
Simplify ((sqrt(63)/sqrt(7))/sqrt(3) - sqrt(3)) + sqrt(3) - (4*sqrt(3)*1)**2.
-48 + sqrt(3)
Simplify (sqrt(363) - (sqrt(363) + -1*2*sqrt(363) - sqrt(363)))**2 + (sqrt(108)*2)/sqrt(9).
4*sqrt(3) + 3267
Simplify (((sqrt(324)*1)/sqrt(9))/(2*sqrt(108))*5)**2.
25/12
Simplify (-5*(-5*(0 + sqrt(171)) + sqrt(171) + 1*(0 + sqrt(171))))**2.
38475
Simplify (((sqrt(170) + sqrt(170)*-1 + sqrt(170))*4 + sqrt(170) - sqrt(170)) + sqrt(170))/sqrt(10)*-6*-1.
30*sqrt(17)
Simplify (-1*sqrt(1225))/sqrt(7).
-5*sqrt(7)
Simplify (-5 + -3 + sqrt(162))*2.
-16 + 18*sqrt(2)
Simplify -4*-3*(0 + sqrt(275)).
60*sqrt(11)
Simplify -2 + ((0 + sqrt(76) + sqrt(76))*-5 + sqrt(76) - sqrt(76))**2.
7598
Simplify (-6*(sqrt(468) + 3))**2.
1296*sqrt(13) + 17172
Simplify (2*sqrt(1620) - sqrt(1620) - sqrt(1620))/(sqrt(10) + (sqrt(60) + sqrt(180)/sqrt(3) + sqrt(60))/sqrt(6)).
0
Simplify (-4*sqrt(468) + 2)**2.
-96*sqrt(13) + 7492
Simplify 2 + sqrt(20)/(sqrt(90) + sqrt(90)*4).
sqrt(2)/15 + 2
Simplify (-5*-3*sqrt(425)*-6)**2.
3442500
Simplify -2*sqrt(12)/(1*4*sqrt(4)).
-sqrt(3)/2
Simplify (sqrt(336) + sqrt(336)*2)/sqrt(7)*6.
72*sqrt(3)
Simplify (3*(sqrt(13) + (3*sqrt(65))/sqrt(5)))**2.
1872
Simplify ((sqrt(90)*-2 + sqrt(90))/sqrt(6))/(3*sqrt(3)*4).
-sqrt(5)/12
Simplify -2*sqrt(72) - 1*sqrt(200).
-22*sqrt(2)
Simplify (1*sqrt(171)*3 - sqrt(171))/(sqrt(72)/(sqrt(32)/sqrt(4) + sqrt(8))).
4*sqrt(19)
Simplify (sqrt(33)/sqrt(3)*-1*3*3)**2.
891
Simplify ((sqrt(56) - sqrt(336)/(sqrt(18)/sqrt(3)))/(-2*sqrt(512)))**2.
0
Simplify ((2 + sqrt(1216))**2 + sqrt(19)*-1 + sqrt(19) + 2)*2.
64*sqrt(19) + 2444
Simplify sqrt(102)/((sqrt(24) - sqrt(192)/sqrt(8)) + sqrt(24)).
sqrt(17)/2
Simplify sqrt(6)/sqrt(2) + sqrt(3) + 1 - -2*(sqrt(3) + 1 - sqrt(3)).
3 + 2*sqrt(3)
Simplify -5*((sqrt(13) - (sqrt(468) + -1))*-2)**2.
-6520 + 200*sqrt(13)
Simplify 1*(sqrt(72) + sqrt(72) + -2 + -2 + sqrt(72)).
-4 + 18*sqrt(2)
Simplify 3 + ((sqrt(325) - sqrt(325)*1) + -2)**2.
7
Simplify (-5 + sqrt(88)/sqrt(8))**2 + -2*sqrt(704).
-26*sqrt(11) + 36
Simplify (1*sqrt(768))**2.
768
Simplify (-3 + sqrt(11) + sqrt(99) + sqrt(11) + sqrt(11))**2 - sqrt(22)/(sqrt(2) + sqrt(18)).
-145*sqrt(11)/4 + 405
Simplify 2 + 4*sqrt(14)/sqrt(7) + -4*sqrt(162).
-32*sqrt(2) + 2
Simplify (6*sqrt(153))**2 - sqrt(17) - (sqrt(17) - (sqrt(17) - (sqrt(17) + -3*(sqrt(17) - -5*sqrt(17) - sqrt(17)))**2)).
-sqrt(17) + 2176
Simplify (1 + sqrt(128) - sqrt(128)) + sqrt(2) - (sqrt(18) + -5 - sqrt(2)).
-sqrt(2) + 6
Simplify ((((sqrt(68) - (sqrt(68)*1 - sqrt(68))) + sqrt(68))*1)/sqrt(4))**2.
68
Simplify (0 + sqrt(3)*-1)**2 + ((-1*-1*sqrt(3))**2 - sqrt(3)) + 4.
-sqrt(3) + 10
Simplify ((-1*sqrt(245))**2 + sqrt(245) + 2)*1.
7*sqrt(5) + 247
Simplify -3 + sqrt(10)/sqrt(45).
-3 + sqrt(2)/3
Simplify (-6*sqrt(68)/sqrt(4) - sqrt(17)) + sqrt(17) - (-1 + (sqrt(68))**2).
-67 - 6*sqrt(17)
Simplify ((-2*sqrt(7) + sqrt(7))*-2)**2 + ((-1 + sqrt(7))*-5 - sqrt(7)).
-6*sqrt(7) + 33
Simplify -3 + (2 + sqrt(200) - sqrt(200)).
-1
Simplify ((1*sqrt(80))/sqrt(4))/(sqrt(640)*-1 + sqrt(10)).
-sqrt(2)/7
Simplify -3*((1*sqrt(40)*1)/sqrt(8) + 2).
-3*sqrt(5) - 6
Simplify sqrt(187)/(sqrt(44)/sqrt(4)) + (sqrt(17) - (sqrt(17) + (sqrt(119)*-2)/sqrt(7))).
3*sqrt(17)
Simplify (-3*-2*(sqrt(147) - -3*sqrt(147)))**2.
84672
Simplify (sqrt(121)/sqrt(539) + -3)**2.
-6*sqrt(11)/7 + 452/49
Simplify (sqrt(162)/(sqrt(24) - sqrt(6)))/(-3*sqrt(729)).
-sqrt(3)/27
Simplify -5*((sqrt(162) - (sqrt(162) - sqrt(162)*2)) + -1)**2.
-3245 + 180*sqrt(2)
Simplify (sqrt(75)/(sqrt(6)/sqrt(2) + sqrt(3)))/sqrt(5).
sqrt(5)/2
Simplify sqrt(35)/(sqrt(55)/sqrt(176)).
4*sqrt(7)
Simplify (-5*sqrt(117))**2*-2.
-5850
Simplify -6*sqrt(15)/sqrt(12).
-3*sqrt(5)
Simplify (1 + sqrt(1008) + 0)**2 + 2.
24*sqrt(7) + 1011
Simplify (4 + sqrt(77)/(sqrt(33)/sqrt(3)))**2.
8*sqrt(7) + 23
Simplify (sqrt(308)/sqrt(7) + 3)**2.
12*sqrt(11) + 53
Simplify -4*(sqrt(2) - (sqrt(10)/(sqrt(30)/sqrt(6)) - sqrt(2)))**2.
-8
Simplify (sqrt(121) - (-3*sqrt(121)*2 - sqrt(121)))/sqrt(11) + -5 + sqrt(11)*2*6.
-5 + 20*sqrt(11)
Simplify 4 + sqrt(2) + -2 + -4.
-2 + sqrt(2)
Simplify ((sqrt(135)/(sqrt(18)/sqrt(2)))/(-1*sqrt(300)))**2.
1/20
Simplify sqrt(1008)*-3 - (-3 + (-1 + sqrt(7))**2).
-34*sqrt(7) - 5
Simplify (5*sqrt(2268))/sqrt(9).
30*sqrt(7)
Simplify (sqrt(65) - (sqrt(65) + (sqrt(65)*2 - sqrt(65)) + sqrt(65))*-3)/(sqrt(5) - sqrt(55)/(sqrt(44)/sqrt(4)) - sqrt(5)).
-10*sqrt(13)
Simplify (2 + sqrt(2057) + sqrt(2057)*2 + -1)**2.
66*sqrt(17) + 18514
Simplify ((sqrt(140) + -2*sqrt(140))/sqrt(10))/sqrt(2).
-sqrt(7)
Simplify (-2*sqrt(187)*-4)/(2*sqrt(11)*2).
2*sqrt(17)
Simplify -4 + ((-1*sqrt(448) + sqrt(448))*-6)**2 + 4.
0
Simplify -5*(2 + sqrt(304))*-6.
60 + 120*sqrt(19)
Simplify 3*sqrt(7)*1 + (sqrt(7) - (sqrt(14) + sqrt(112)/sqrt(8))/sqrt(2)).
2*sqrt(7)
Simplify (sqrt(2) + 1 + 0)**2 + (sqrt(4)/sqrt(2) + 0)**2.
2*sqrt(2) + 5
Simplify -2*((sqrt(44) + -1)**2 + (sqrt(132)*-2)/sqrt(12)).
-90 + 12*sqrt(11)
Simplify (sqrt(539) + 2)**2 + sqrt(11) - 3*(sqrt(176))**2.
15 + 29*sqrt(11)
Simplify 2 + (sqrt(19) - (4 + sqrt(171))) + 4.
-2*sqrt(19) + 2
Simplify ((sqrt(3744) - -1*sqrt(3744))/(-2*sqrt(2)*-6))**2.
52
Simplify (-5 + (2*sqrt(55))/sqrt(5) + sqrt(176) + -2)**2.
-84*sqrt(11) + 445
Simplify (4*(sqrt(539) + 2*sqrt(539)) + ((sqrt(539) - sqrt(539)*2 - sqrt(539) - sqrt(539)) + sqrt(539))*-1)**2.
105644
Simplify 0 + (sqrt(228)/sqrt(192) - (sqrt(209) + (-2*sqrt(209) - sqrt(209)))/sqrt(11)).
9*sqrt(19)/4
Simplify (4*sqrt(125) + -2 + 2)**2.
2000
Simplify 4*(sqrt(75) + 1)**2*-3.
-912 - 120*sqrt(3)
Simplify sqrt(133)/(sqrt(7)*-1*-4)*1.
sqrt(19)/4
Simplify ((sqrt(5) - sqrt(245)*4)**2 - sqrt(40)/(sqrt(32)/sqrt(4)))*5.
-5*sqrt(5) + 18225
Simplify ((sqrt(9) + (sqrt(9) - (sqrt(9)*-2*3 + sqrt(9))))/(sqrt(363)*3))**2.
49/363
Simplify -5 + -2 + (-2*sqrt(475))**2 + sqrt(475).
5*sqrt(19) + 1893
Simplify (-1 + sqrt(605))**2 + 0.
-22*sqrt(5) + 606
Simplify (sqrt(304)*6 + sqrt(38)/(sqrt(2)*-1))**2.
10051
Simplify sqrt(33)/(-3*sqrt(275)).
-sqrt(3)/15
Simplify (3*((sqrt(136) - 1*sqrt(136))*-1)/sqrt(8))**2.
0
Simplify -1*sqrt(13)*-2 + sqrt(1300)*1.
12*sqrt(13)
Simplify (sqrt(126)/sqrt(3))/sqrt(6) - (sqrt(21)*-1)/sqrt(3).
2*sqrt(7)
Simplify ((-2*sqrt(190))/sqrt(10) + sqrt(171)/sqrt(225) + 5)**2.
-18*sqrt(19) + 2164/25
Simplify 0 + sqrt(19)*-2 - (sqrt(95)*-2 + sqrt(95))/sqrt(5).
-sqrt(19)
Simplify (-1 + sqrt(300)*1 + ((sqrt(300) - (-1 + sqrt(300) + sqrt(300))) + sqrt(300))*-6)**2.
-140*sqrt(3) + 349
Simplify -2*(4*(sqrt(1216) + sqrt(1216) + -1))**2.
-155680 + 1024*sqrt(19)
Simplify (2 + (-1 + sqrt(76))*2)**2.
304
Simplify (3 + sqrt(3)*-4)**2 - 1*sqrt(192).
-32*sqrt(3) + 57
Simplify 2*4*(-3 + sqrt(1008)).
-24 + 96*sqrt(7)
Simplify (sqrt(1377) + 0 + sqrt(1377))**2 + sqrt(17) + 1 + sqrt(2057) + sqrt(17).
13*sqrt(17) + 5509
Simplify sqrt(33)/(sqrt(88)/sqrt(128)).
4*sqrt(3)
Simplify (sqrt(8) + (-5*sqrt(16)/sqrt(2) - sqrt(8)))/(6*(sqrt(4) + sqrt(4) + 1*sqrt(4))).
-5*sqrt(2)/18
Simplify 3*sqrt(28)/sqrt(4) + (sqrt(70) + (sqrt(70) - (1*sqrt(70) + sqrt(70))))/sqrt(10).
3*sqrt(7) | {
"pile_set_name": "DM Mathematics"
} |
he terms in -18 - 7416*u + 20 - 71566*u.
-78982*u + 2
Collect the terms in -82*v**3 + 22*v**2 - 13*v**2 + 13*v - 9*v**2.
-82*v**3 + 13*v
Collect the terms in -980*n - 36148*n**2 + 980*n.
-36148*n**2
Collect the terms in 2*k**2 - 4*k**2 + 2614*k**3 + 2*k**2.
2614*k**3
Collect the terms in -153*o**2 - 66*o**2 + 15*o**2 - 44*o**2.
-248*o**2
Collect the terms in 385*u - 84*u + 99*u + 128*u.
528*u
Collect the terms in 2555*u**2 + 826*u**2 - 152*u**2.
3229*u**2
Collect the terms in -4*k**3 - 136782*k + 2*k**3 + 136782*k.
-2*k**3
Collect the terms in -70*j**3 + 25*j**3 + 16*j**3 + 27*j**3.
-2*j**3
Collect the terms in -14 + 14 - 3827*b.
-3827*b
Collect the terms in 980*l**2 - 5 + 0*l - l - 461*l**2.
519*l**2 - l - 5
Collect the terms in 0*s**3 + s**3 + 24 - 261 - 194.
s**3 - 431
Collect the terms in 85*v + 120*v - 289*v + 87*v.
3*v
Collect the terms in -19*w**2 + w**3 - 3*w - 247*w**2 - 65*w**2.
w**3 - 331*w**2 - 3*w
Collect the terms in -51*b**2 + 29*b**2 + 9*b**2 + 17*b**2.
4*b**2
Collect the terms in -12*r + 6*r - 10*r - 11*r.
-27*r
Collect the terms in -66 - 1148*c**2 + 66.
-1148*c**2
Collect the terms in -6 - 91*u - 11 - 14 + 33.
-91*u + 2
Collect the terms in -6*x**2 - 39*x + 130*x - 16*x - 37*x - 35*x + 0*x**2.
-6*x**2 + 3*x
Collect the terms in 470*p - 470*p + 59*p**3 - 713*p**3.
-654*p**3
Collect the terms in 0*v + v - 4303605*v**2 - v + 4303607*v**2.
2*v**2
Collect the terms in -3*p**3 - p**3 + 14*p**3 + 5.
10*p**3 + 5
Collect the terms in 5*a**3 + 11*a**3 - 250975*a + 501950*a - 250975*a.
16*a**3
Collect the terms in 0 - 6 + 6 + 186239*m - 186229*m.
10*m
Collect the terms in 5*y**2 - 168445*y + 168433*y - 7*y**2.
-2*y**2 - 12*y
Collect the terms in 747411 - 747411 - 18*w**2 + 14*w**2.
-4*w**2
Collect the terms in 37*c - 86*c - 644*c**3 + 49*c - 950*c**3.
-1594*c**3
Collect the terms in -618*m + 1853*m - 621*m - 1 - 619*m.
-5*m - 1
Collect the terms in -85*w**3 - 107*w**3 + 169*w**3.
-23*w**3
Collect the terms in -18*c**2 - 13*c + 4*c**2 - 7*c**2 + 6*c.
-21*c**2 - 7*c
Collect the terms in -1221 + 1187 - 3*y**3 + 2590.
-3*y**3 + 2556
Collect the terms in -9 + 9 + u + 4*u + 66*u.
71*u
Collect the terms in -5854*a + 3521*a + 2333*a - 3*a**2.
-3*a**2
Collect the terms in 2*r**2 - 302*r**2 + 296*r**2.
-4*r**2
Collect the terms in -1451 - 6*t**2 + 5*t**2 + 3*t**2.
2*t**2 - 1451
Collect the terms in 231758*v - 8*v**2 - 463530*v + 231766*v.
-8*v**2 - 6*v
Collect the terms in 72 + 69 - 204 + 22*d**2 + 63.
22*d**2
Collect the terms in -53*y - 38*y + 35*y - 50*y - 10*y.
-116*y
Collect the terms in 73 - 284*w**2 + 73 - 146.
-284*w**2
Collect the terms in -2*y**2 + y**2 + y**2 - 1212*y**3.
-1212*y**3
Collect the terms in 198*i - 670*i + 189*i + 289*i.
6*i
Collect the terms in 6939*b - 13883*b + 37*b**2 + 6944*b.
37*b**2
Collect the terms in 439*p + 10*p**2 - 887*p + 435*p.
10*p**2 - 13*p
Collect the terms in -t + 407 + 598 + 64.
-t + 1069
Collect the terms in 9852 + 636*f - 639*f - 9852.
-3*f
Collect the terms in -131 + 9*d**3 + 3*d**2 + 131.
9*d**3 + 3*d**2
Collect the terms in 289*k**2 + 329*k**2 - 607*k**2.
11*k**2
Collect the terms in -1216*f**2 + 3*f + 2*f + 5145*f**2.
3929*f**2 + 5*f
Collect the terms in 926*h**3 - 2814*h**3 + 866*h**3 + 895*h**3.
-127*h**3
Collect the terms in -3*s**3 - 51 + 28 + 23 - 59*s.
-3*s**3 - 59*s
Collect the terms in -4*m**2 + 26 - m**2 + 0*m**3 - 4 + 3*m**3.
3*m**3 - 5*m**2 + 22
Collect the terms in 32 + 27 + 23 - 82 + 21*q.
21*q
Collect the terms in -74 - 77 - 59 + f**2 + 283 - 73.
f**2
Collect the terms in -2184470372 + 2184470372 - 6*o**2.
-6*o**2
Collect the terms in -762 + 243*g**2 - 1169*g**2 + 762.
-926*g**2
Collect the terms in -3555*a**3 - 108*a + 3553*a**3 + 55*a + 53*a.
-2*a**3
Collect the terms in -2893 - 2196 - 5*b**2 + 5089.
-5*b**2
Collect the terms in -451*g**3 + 2*g**2 + 395*g**3 - 788*g**3 - 200*g**3 + g**2.
-1044*g**3 + 3*g**2
Collect the terms in 5 - 154*z + 43*z + 68*z - 5.
-43*z
Collect the terms in 10900*x - 589 - 599 + 1788 - 10902*x - 600.
-2*x
Collect the terms in 0*q**3 + 2*q**3 - 76142*q**2 + 76142*q**2.
2*q**3
Collect the terms in -13843196*q + 13843196*q - 51*q**2.
-51*q**2
Collect the terms in 217621*v - 108817*v - 108809*v.
-5*v
Collect the terms in 5*m**2 - 11*m**2 + 2*m**2 + 3*m**2 + 11*m**2.
10*m**2
Collect the terms in 4858*f**3 + 4866*f**3 - 9806*f**3.
-82*f**3
Collect the terms in -121*u - 3*u**2 - u**2 + 240*u - 119*u.
-4*u**2
Collect the terms in -8*r**2 + 91 - 91 + 41*r**2 + 26*r**2.
59*r**2
Collect the terms in -2 + 1 + 2 + 4315*c - 4408*c.
-93*c + 1
Collect the terms in -32*z - 30*z + 72*z - 22*z - 2.
-12*z - 2
Collect the terms in 1608*n**2 - 3194*n**2 - 2*n + 1588*n**2 + 5*n.
2*n**2 + 3*n
Collect the terms in -11030*g**3 - 1468*g**2 + 1468*g**2 + 3397*g**3.
-7633*g**3
Collect the terms in 83*v**3 - 185 + 185 - 173*v**3 + 86*v**3.
-4*v**3
Collect the terms in 133679*g - 43046*g + 123155*g - 8233*g.
205555*g
Collect the terms in 75*q**3 + 65*q**3 + 17*q**3.
157*q**3
Collect the terms in -495*p - 400*p - 7*p**3 - 1460*p - 11*p**3.
-18*p**3 - 2355*p
Collect the terms in -73*x**2 - 68*x**2 + 303*x**2 - 67*x**2 - 81*x**2.
14*x**2
Collect the terms in -1 - 177*g**3 - 256*g**3 + 132*g**3.
-301*g**3 - 1
Collect the terms in 1 - 26 + 10*q + 47 + 44*q.
54*q + 22
Collect the terms in 87*d - 263*d + 2 + 94*d - 2 + 87*d.
5*d
Collect the terms in -88*k + 7 + 2 - 7 - 1 + 0.
-88*k + 1
Collect the terms in -70 + 40 + 30 - 6*c**2 + c.
-6*c**2 + c
Collect the terms in 14*v**2 - 83*v**2 - 126*v**2 - 10 + 9.
-195*v**2 - 1
Collect the terms in -2010*c**3 + 1009*c**3 + 973*c**3.
-28*c**3
Collect the terms in -5*c**2 - 4 + 12*c**2 - 9*c**2 + 11*c**2.
9*c**2 - 4
Collect the terms in -36*l**3 - 8*l**3 - 55*l**3.
-99*l**3
Collect the terms in 0*i**3 + 25*i**3 + 16*i**3 + 15*i**3 - 49*i**3.
7*i**3
Collect the terms in 6996 - a**3 - 6996 - 12*a**2.
-a**3 - 12*a**2
Collect the terms in -419*h + 243*h - 116*h - 435*h.
-727*h
Collect the terms in -214072*z + 214072*z + 24*z**2.
24*z**2
Collect the terms in -132493215*m + 132493215*m + 32*m**2.
32*m**2
Collect the terms in -265*r - 264*r + 519*r + 7.
-10*r + 7
Collect the terms in 4*p**2 + 345*p**3 - 1695*p + 1695*p - 4*p**2.
345*p**3
Collect the terms in 493*k**2 + 495*k**2 + 530*k**2 - 1517*k**2.
k**2
Collect the terms in -1 - 22 - 4*a**2 - 38.
-4*a**2 - 61
Collect the terms in 10*z**2 + 1127100*z - 1127100*z.
10*z**2
Collect the terms in 339*a - 7 + 2 + 2.
339*a - 3
Collect the terms in -4*x - 12*x**2 + 4*x**2 + 2*x - 5*x**2 + 9*x**2.
-4*x**2 - 2*x
Collect the terms in -w - 7*w + 0*w**3 - w**3 + 0*w.
-w**3 - 8*w
Collect the terms in -812 + 0*u - 332 + 13*u + 1476 - 332.
13*u
Collect the terms in -7*b**3 + 10*b**3 + 343*b**2 - 42*b**3.
-39*b**3 + 343*b**2
Collect the terms in 5 - 47*u**3 + 28*u**3 + 11*u**3.
-8*u**3 + 5
Collect the terms in 136*m - 274*m + 138*m + 352*m**3 + 0 - 2.
352*m**3 - 2
Collect the terms in -40 - n**2 - 25 + 22 - 28.
-n**2 - 71
Collect the terms in -177790 - 2*t + 355387 - 177597.
-2*t
Collect the terms in -4205*r**3 + 23 - 86 + 4202*r**3.
-3*r**3 - 63
Collect the terms in 5357*z**3 + 5350*z**3 + 5351*z**3 - 16071*z**3.
-13*z**3
Collect the terms in 840886*q - 840885*q + 4 - 1.
q + 3
Collect the terms in 10*m**2 - 29679 + 29679.
10*m**2
Collect the terms in -16 + 38 - 13 + 2 - 2*i.
-2*i + 11
Collect the terms in -24*y**2 - 1130*y + 1130*y.
-24*y**2
Collect the terms in 3046 - 896*x**2 + 3051 - 6097.
-896*x**2
Collect the terms in 822*c - 1087 + 2178 - 1091.
822*c
Collect the terms in -17*w**2 + 234*w + 224*w + 238*w - 696*w + 6*w**2.
-11*w**2
Collect the terms in -3*y**2 + 48*y**3 + 2094*y + 3*y**2 - 2094*y - 19*y**3.
29*y**3
Collect the terms in 30*d - 13*d + d**2 + 130*d**3 - 17*d + 17*d**3.
147*d**3 + d**2
Collect the terms in -24*c - 18107*c**3 + 53*c - 29*c.
-18107*c**3
Collect the terms in -67*m**3 + 21*m**2 + 45*m**2 + 15*m**2 - 81*m**2.
-67*m**3
Collect the terms in 5575 - 2792 - m - 2783.
-m
Collect the terms in 9311*z**2 + z - z.
9311*z**2
Collect the terms in 2*r - 647 + 2062 - 644 - 771.
2*r
Collect the terms in 1433*g**3 - 2893*g**3 + 1392*g**3.
-68*g**3
Collect the terms in -11117*c**2 - 11115*c**2 - 11121*c**2 + 33354*c**2.
c**2
Collect the terms in -1904*u - 5*u**3 + 1904*u.
-5*u**3
Collect the terms in 11*x**2 | {
"pile_set_name": "DM Mathematics"
} |
tonnes.
0.2368963
How many millimeters are there in one fifth of a centimeter?
2
How many centuries are there in 47535.26 years?
475.3526
How many nanoseconds are there in 0.8650698 minutes?
51904188000
What is 3/28 of a week in seconds?
64800
Convert 99.49485 tonnes to kilograms.
99494.85
How many seconds are there in 5/6 of a day?
72000
What is one fifth of a millennium in decades?
20
How many millilitres are there in 22.0046 litres?
22004.6
What is thirty-seven halves of a litre in millilitres?
18500
How many millimeters are there in ninety-one halves of a meter?
45500
What is 51.0922 milliseconds in microseconds?
51092.2
How many millilitres are there in 57344.13 litres?
57344130
How many millimeters are there in 29/5 of a centimeter?
58
How many grams are there in 7/2 of a kilogram?
3500
Convert 98751.58 millennia to centuries.
987515.8
How many years are there in 21/5 of a millennium?
4200
How many months are there in three sixteenths of a century?
225
How many millimeters are there in 3.292916km?
3292916
Convert 268953.867 minutes to weeks.
26.68193125
What is 3/25 of a kilometer in centimeters?
12000
What is nineteen quarters of a litre in millilitres?
4750
How many years are there in 19/4 of a millennium?
4750
What is 5879.919 nanograms in kilograms?
0.000000005879919
How many micrograms are there in 5/4 of a milligram?
1250
How many microseconds are there in 888.2803 nanoseconds?
0.8882803
How many millilitres are there in 21/2 of a litre?
10500
What is twenty-eight thirds of a year in months?
112
Convert 4270.632ug to milligrams.
4.270632
How many decades are there in 88702.2 months?
739.185
What is 7/2 of a day in hours?
84
Convert 71280.04l to millilitres.
71280040
How many micrograms are there in 1984.273g?
1984273000
Convert 851.952 years to months.
10223.424
What is 5/8 of a meter in millimeters?
625
How many months are there in 6780.12 decades?
813614.4
What is 3/25 of a kilometer in meters?
120
What is three eighths of a litre in millilitres?
375
How many microseconds are there in 978155.1ns?
978.1551
What is nineteen quarters of a millimeter in micrometers?
4750
What is 2.870562 decades in centuries?
0.2870562
How many nanograms are there in 3/5 of a microgram?
600
How many months are there in 411856.3 millennia?
4942275600
How many kilograms are there in 1111.627 milligrams?
0.001111627
What is 6.305783ml in litres?
0.006305783
How many hours are there in fifteen quarters of a week?
630
How many meters are there in 21/8 of a kilometer?
2625
Convert 14.37314ug to kilograms.
0.00000001437314
How many milliseconds are there in 1/15 of a minute?
4000
What is 3/10 of a micrometer in nanometers?
300
Convert 80.87948 kilograms to micrograms.
80879480000
How many minutes are there in five sixths of a hour?
50
What is five quarters of a hour in seconds?
4500
How many seconds are there in three eighths of a hour?
1350
How many millilitres are there in one quarter of a litre?
250
How many nanoseconds are there in 197.842 hours?
712231200000000
What is 21/8 of a hour in seconds?
9450
What is 42912.84 millilitres in litres?
42.91284
How many millilitres are there in 0.8965534 litres?
896.5534
What is 31601.33 millilitres in litres?
31.60133
Convert 150.3077 years to millennia.
0.1503077
What is 253.5961 micrometers in meters?
0.0002535961
What is 0.496266 decades in years?
4.96266
How many millilitres are there in 71/4 of a litre?
17750
What is 5.989466 kilograms in grams?
5989.466
What is 29/5 of a meter in millimeters?
5800
How many centuries are there in 6/5 of a millennium?
12
How many weeks are there in 313.220817s?
0.0005178915625
How many nanograms are there in seven quarters of a microgram?
1750
What is seventy-five halves of a second in milliseconds?
37500
How many litres are there in 74.19166 millilitres?
0.07419166
How many milligrams are there in five eighths of a gram?
625
Convert 70527.1ug to nanograms.
70527100
What is 2424.921l in millilitres?
2424921
How many milligrams are there in 6.566116kg?
6566116
How many hours are there in four thirds of a week?
224
Convert 955.2703 millimeters to centimeters.
95.52703
Convert 2.73176m to kilometers.
0.00273176
What is 6.076908l in millilitres?
6076.908
What is one quarter of a year in months?
3
What is 32064.67 millilitres in litres?
32.06467
Convert 73.08591 meters to centimeters.
7308.591
What is 9.334278 millilitres in litres?
0.009334278
How many grams are there in 37/2 of a kilogram?
18500
Convert 246.4672 litres to millilitres.
246467.2
What is 3/40 of a tonne in grams?
75000
Convert 0.2910142 years to decades.
0.02910142
How many milliseconds are there in 19/4 of a second?
4750
How many kilograms are there in thirteen eighths of a tonne?
1625
Convert 88846.57 litres to millilitres.
88846570
Convert 0.3518403l to millilitres.
351.8403
What is 22852.11 years in months?
274225.32
How many nanoseconds are there in 745174.6 microseconds?
745174600
What is 3/50 of a microsecond in nanoseconds?
60
What is 130.2551 litres in millilitres?
130255.1
What is 8528.13 millennia in years?
8528130
How many millilitres are there in 0.4583219l?
458.3219
What is 12/25 of a tonne in kilograms?
480
How many seconds are there in eighteen fifths of a minute?
216
What is 85/4 of a microgram in nanograms?
21250
What is 25/4 of a millennium in years?
6250
What is seventy-five halves of a litre in millilitres?
37500
How many micrometers are there in 12/25 of a millimeter?
480
How many micrograms are there in sixty-nine halves of a milligram?
34500
What is 4.344974ml in litres?
0.004344974
What is 1368.243g in kilograms?
1.368243
What is 9014.694km in nanometers?
9014694000000000
What is three tenths of a centimeter in micrometers?
3000
Convert 504.354kg to tonnes.
0.504354
Convert 82121.88l to millilitres.
82121880
What is fourty-three quarters of a milligram in micrograms?
10750
How many microseconds are there in 3/40 of a millisecond?
75
What is sixty-seven quarters of a kilometer in meters?
16750
What is fifty-nine quarters of a microsecond in nanoseconds?
14750
How many grams are there in 516.6601 micrograms?
0.0005166601
How many grams are there in one tenth of a kilogram?
100
How many nanometers are there in 21/8 of a micrometer?
2625
How many hours are there in 7.288605 microseconds?
0.0000000020246125
How many litres are there in 0.3928399 millilitres?
0.0003928399
What is fourty-three quarters of a gram in milligrams?
10750
What is 1/10 of a century in years?
10
What is fourty-four fifths of a microgram in nanograms?
8800
How many millilitres are there in 0.964363 litres?
964.363
What is 2379.213l in millilitres?
2379213
How many nanoseconds are there in 3/5 of a microsecond?
600
How many grams are there in 7/2 of a kilogram?
3500
What is 60247.4ug in grams?
0.0602474
How many nanometers are there in 3.81647 kilometers?
3816470000000
What is seven quarters of a kilometer in meters?
1750
What is 27/2 of a microgram in nanograms?
13500
How many milligrams are there in 3498.894 kilograms?
3498894000
How many litres are there in 8600.946 millilitres?
8.600946
How many centuries are there in 65668.67 millennia?
656686.7
Convert 152340.9 tonnes to nanograms.
152340900000000000000
What is 2.362189 nanograms in grams?
0.000000002362189
How many minutes are there in twenty-five sevenths of a week?
36000
What is seven halves of a day in hours?
84
What is 97.55311 days in seconds?
8428588.704
How many months are there in 242.8129 years?
2913.7548
What is 6/25 of a litre in millilitres?
240
What is 700.3556 centuries in decades?
7003.556
How many nanograms are there in 23/8 of a microgram?
2875
How many millimeters are there in seven halves of a centimeter?
35
Convert 1.812399 litres to millilitres.
1812.399
How many grams are there in 0.6681086 nanograms?
0.0000000006681086
Convert 747.0557 hours to milliseconds.
2689400520
Convert 319.6233 litres to millilitres.
319623.3
Convert 24.59161t to milligrams.
24591610000
What is five eighths of a micrometer in nanometers?
625
Convert 82.12818 centimeters to meters.
0.8212818
What is one quarter of a millennium in months?
3000
How many meters are there in 75.80034 micrometers?
0.00007580034
What is 25/2 of a decade in years?
125
What is six fifths of | {
"pile_set_name": "DM Mathematics"
} |
ur letters picked without replacement from jmcszwwwcczjccww?
1/182
Two letters picked without replacement from {a: 7, j: 2, r: 1, z: 9}. What is prob of picking 1 z and 1 j?
2/19
Calculate prob of picking 1 r, 2 e, and 1 q when four letters picked without replacement from {h: 2, l: 3, q: 5, r: 3, e: 2}.
1/91
What is prob of picking 1 s, 2 r, and 1 z when four letters picked without replacement from {s: 1, z: 2, r: 7}?
1/5
Two letters picked without replacement from {m: 12, o: 1, c: 5}. What is prob of picking 1 c and 1 o?
5/153
Two letters picked without replacement from xyyyyrxyqyr. What is prob of picking 2 y?
3/11
Three letters picked without replacement from {p: 1, y: 2, r: 2, h: 8, u: 1}. Give prob of picking 3 h.
2/13
Three letters picked without replacement from vorv. What is prob of picking 2 v and 1 r?
1/4
Calculate prob of picking 1 y and 3 u when four letters picked without replacement from yuyuyuuuuuyy.
35/99
Calculate prob of picking 2 x when two letters picked without replacement from vqvvqvivxvvivvxvvv.
1/153
Two letters picked without replacement from {b: 3, h: 7}. What is prob of picking 2 h?
7/15
Calculate prob of picking 2 b when two letters picked without replacement from {k: 1, b: 2, j: 2, o: 4}.
1/36
Two letters picked without replacement from {s: 3, c: 4}. Give prob of picking 2 c.
2/7
Three letters picked without replacement from rrnqiqv. Give prob of picking 1 v, 1 i, and 1 q.
2/35
What is prob of picking 2 a and 2 n when four letters picked without replacement from {a: 3, n: 2}?
3/5
What is prob of picking 2 u and 1 b when three letters picked without replacement from {u: 4, y: 4, b: 7}?
6/65
Three letters picked without replacement from nnwnnnwnwnwwwnwwwnnw. What is prob of picking 1 w and 2 n?
15/38
Three letters picked without replacement from kveekddedd. Give prob of picking 1 k and 2 d.
1/10
Two letters picked without replacement from {r: 2, x: 6, z: 1, l: 2}. What is prob of picking 2 l?
1/55
Three letters picked without replacement from {y: 4, e: 1, r: 2, h: 1, f: 1}. Give prob of picking 2 y and 1 r.
1/7
Calculate prob of picking 2 r, 1 c, and 1 e when four letters picked without replacement from {r: 6, e: 1, c: 4}.
2/11
Three letters picked without replacement from {e: 15, l: 5}. Give prob of picking 3 l.
1/114
What is prob of picking 2 f and 1 z when three letters picked without replacement from {f: 3, y: 4, z: 8, i: 2}?
3/85
Two letters picked without replacement from {v: 15, k: 3}. Give prob of picking 2 k.
1/51
Four letters picked without replacement from vvvvvfvvvvfvvvf. What is prob of picking 4 v?
33/91
Two letters picked without replacement from ccucuczuzzu. What is prob of picking 1 c and 1 u?
16/55
Two letters picked without replacement from {o: 5, s: 1, v: 7, d: 3}. What is prob of picking 2 v?
7/40
Two letters picked without replacement from uuubububsbuhuuuys. What is prob of picking 1 b and 1 y?
1/34
Calculate prob of picking 1 d and 3 t when four letters picked without replacement from {d: 11, o: 1, t: 7}.
385/3876
Two letters picked without replacement from hhhhzhhmzzhhhhzhzh. Give prob of picking 2 h.
22/51
Four letters picked without replacement from {c: 2, w: 1, d: 11}. What is prob of picking 4 d?
30/91
Calculate prob of picking 3 g and 1 r when four letters picked without replacement from glrrgrgeglrrrglrgr.
8/153
What is prob of picking 1 o and 1 d when two letters picked without replacement from {d: 2, o: 8, n: 4}?
16/91
Calculate prob of picking 1 j, 2 b, and 1 s when four letters picked without replacement from {b: 2, s: 3, j: 10}.
2/91
What is prob of picking 4 g when four letters picked without replacement from {g: 2, i: 17}?
0
Two letters picked without replacement from {r: 1, m: 2, f: 1, s: 1}. What is prob of picking 1 s and 1 f?
1/10
Three letters picked without replacement from iifiifimfiim. Give prob of picking 1 f and 2 m.
3/220
What is prob of picking 2 w when two letters picked without replacement from wwwwwwwwww?
1
Four letters picked without replacement from kgkikkggqg. Give prob of picking 1 q and 3 g.
2/105
What is prob of picking 1 x and 3 t when four letters picked without replacement from {o: 3, t: 4, j: 3, f: 6, x: 4}?
16/4845
What is prob of picking 1 h and 1 f when two letters picked without replacement from fhfffvvvffhhhf?
4/13
What is prob of picking 3 z when three letters picked without replacement from {z: 5, f: 12, k: 1}?
5/408
Three letters picked without replacement from {a: 2, q: 1, v: 1}. Give prob of picking 1 a, 1 q, and 1 v.
1/2
What is prob of picking 2 k and 2 w when four letters picked without replacement from kxxkwwwxxrxwkwkk?
5/91
Calculate prob of picking 2 k and 2 f when four letters picked without replacement from kfecdak.
0
Two letters picked without replacement from quqquuqqqoqqquuo. Give prob of picking 1 u and 1 q.
3/8
What is prob of picking 4 g when four letters picked without replacement from {b: 7, g: 7, o: 2, x: 1}?
1/68
What is prob of picking 2 u, 1 y, and 1 v when four letters picked without replacement from yuvob?
0
Four letters picked without replacement from ehkkelkehhehleekel. Give prob of picking 2 k and 2 l.
1/170
What is prob of picking 1 p, 1 b, and 1 s when three letters picked without replacement from wpbls?
1/10
Two letters picked without replacement from fffffff. Give prob of picking 2 f.
1
Two letters picked without replacement from yyjixoix. What is prob of picking 1 i and 1 o?
1/14
What is prob of picking 3 y when three letters picked without replacement from yyy?
1
Four letters picked without replacement from hihcmmm. What is prob of picking 1 i, 1 c, 1 m, and 1 h?
6/35
Calculate prob of picking 2 c when two letters picked without replacement from tgracacaaccgcrgrtgg.
10/171
Four letters picked without replacement from {t: 6, y: 3, v: 1, a: 5, i: 4, r: 1}. What is prob of picking 1 r, 2 y, and 1 v?
1/1615
Calculate prob of picking 1 y, 2 r, and 1 x when four letters picked without replacement from {y: 1, r: 5, x: 4}.
4/21
Two letters picked without replacement from xxxwxwwwxxww. What is prob of picking 1 w and 1 x?
6/11
Four letters picked without replacement from {h: 7, a: 1, s: 3, f: 1, k: 1}. What is prob of picking 3 s and 1 f?
1/715
Four letters picked without replacement from myzzzwr. Give prob of picking 2 z and 2 w.
0
Three letters picked without replacement from ttttytttttttt. What is prob of picking 1 y and 2 t?
3/13
Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, g: 5, l: 3, y: 1, o: 7}.
2/51
What is prob of picking 1 t and 1 a when two letters picked without replacement from apatoappopoapapaa?
7/136
What is prob of picking 3 t when three letters picked without replacement from {i: 3, t: 7, n: 2}?
7/44
What is prob of picking 2 r when two letters picked without replacement from {i: 10, k: 2, b: 2, r: 4, w: 1}?
2/57
What is prob of picking 1 u and 3 r when four letters picked without replacement from rqrukkwrwwcwuuu?
4/1365
Calculate prob of picking 2 b and 1 r when three letters picked without replacement from {n: 1, e: 2, r: 1, f: 1, b: 2, i: 1}.
1/56
Three letters picked without replacement from gzzzzzgzzz. What is prob of picking 2 z and 1 g?
7/15
Four letters picked without replacement from {i: 1, o: 2, l: 11, r: 5}. Give prob of picking 1 o and 3 l.
55/646
Calculate prob of picking 3 g and 1 i when four letters picked without replacement from {i: 3, g: 13}.
33/70
Calculate prob of picking 4 m when four letters picked without replacement from mmmdmmdmmmmmmmdmmmdm.
364/969
Three letters picked without replacement from xllggggzngxlsgsxg. Give prob of picking 2 l and 1 g.
21/680
Calculate prob of picking 1 g and 2 p when three letters picked without replacement from {g: 5, p: 14, a: 1}.
91/228
Three letters picked without replacement from {a: 3, s: 2, h: 4, y: 2}. Give prob of picking 2 s and 1 a.
1/55
What is prob of picking 4 z when four letters picked without replacement from {k: 6, z: 6}?
1/33
What is prob of picking 1 m, 1 b, and 1 r when three letters picked without replacement from {r: 4, k: 3, e: 1, m: 2, b: 1}?
8/165
Two letters picked without replacement from {x: 2, k: 3}. What is prob of picking 2 x?
1/10
Three letters picked without replacement | {
"pile_set_name": "DM Mathematics"
} |
55, -242, -331, -422?
-h**2 - 82*h + 13
What is the z'th term of -833, -1667, -2501, -3335, -4169, -5003?
-834*z + 1
What is the l'th term of -10674, -10675, -10676?
-l - 10673
What is the j'th term of 11, 0, -15, -34, -57?
-2*j**2 - 5*j + 18
What is the c'th term of -16, -26, -42, -64, -92, -126?
-3*c**2 - c - 12
What is the w'th term of 2, 34, 88, 164?
11*w**2 - w - 8
What is the f'th term of 2, 9, 24, 47, 78?
4*f**2 - 5*f + 3
What is the y'th term of 1013, 1029, 1061, 1115, 1197, 1313, 1469?
y**3 + 2*y**2 + 3*y + 1007
What is the o'th term of 377, 383, 387, 389, 389?
-o**2 + 9*o + 369
What is the w'th term of 8238, 8237, 8236, 8235?
-w + 8239
What is the k'th term of -243, -485, -727?
-242*k - 1
What is the b'th term of -233, -466, -699, -932, -1165?
-233*b
What is the z'th term of 90, 100, 122, 162, 226, 320, 450, 622?
z**3 + 3*z + 86
What is the n'th term of 918, 908, 898, 888, 878?
-10*n + 928
What is the k'th term of -10, -12, -10, 2, 30?
k**3 - 4*k**2 + 3*k - 10
What is the z'th term of 34, 51, 68, 85, 102, 119?
17*z + 17
What is the a'th term of -383, -372, -359, -344, -327, -308?
a**2 + 8*a - 392
What is the f'th term of -943, -944, -945, -946?
-f - 942
What is the d'th term of -330, -265, -200, -135?
65*d - 395
What is the n'th term of -3990, -3994, -3998?
-4*n - 3986
What is the i'th term of 243, 226, 209, 192?
-17*i + 260
What is the o'th term of 97, 194, 317, 478, 689, 962, 1309, 1742?
2*o**3 + o**2 + 80*o + 14
What is the w'th term of -99, -198, -297, -396?
-99*w
What is the g'th term of 103, 202, 301, 400, 499?
99*g + 4
What is the b'th term of 78, 111, 196, 357, 618, 1003, 1536, 2241?
4*b**3 + 2*b**2 - b + 73
What is the d'th term of -175, -360, -545?
-185*d + 10
What is the d'th term of 205, 220, 237, 256, 277, 300?
d**2 + 12*d + 192
What is the w'th term of 180, 173, 162, 147?
-2*w**2 - w + 183
What is the q'th term of 35175, 35171, 35165, 35157?
-q**2 - q + 35177
What is the t'th term of -1160, -2316, -3472, -4628?
-1156*t - 4
What is the r'th term of -254, -506, -758, -1010, -1262, -1514?
-252*r - 2
What is the d'th term of -159, -163, -167, -171?
-4*d - 155
What is the n'th term of 34, 47, 76, 127, 206, 319, 472?
n**3 + 2*n**2 + 31
What is the x'th term of 1165, 2334, 3505, 4678?
x**2 + 1166*x - 2
What is the i'th term of 16, -11, -68, -167, -320, -539?
-2*i**3 - 3*i**2 - 4*i + 25
What is the w'th term of 30, 27, 12, -21, -78, -165, -288?
-w**3 + 4*w + 27
What is the h'th term of -3, 7, 29, 69, 133, 227, 357, 529?
h**3 + 3*h - 7
What is the j'th term of -582, -1177, -1776, -2379?
-2*j**2 - 589*j + 9
What is the d'th term of -53, -50, -47, -44?
3*d - 56
What is the c'th term of -634, -628, -620, -610, -598, -584, -568?
c**2 + 3*c - 638
What is the o'th term of -41, -151, -335, -593, -925?
-37*o**2 + o - 5
What is the g'th term of -2917, -2914, -2901, -2872, -2821, -2742?
g**3 - g**2 - g - 2916
What is the a'th term of 5, 2, -3, -10?
-a**2 + 6
What is the k'th term of 2734, 2738, 2744, 2752, 2762?
k**2 + k + 2732
What is the l'th term of 832, 3354, 7560, 13450, 21024, 30282, 41224?
842*l**2 - 4*l - 6
What is the w'th term of 250, 414, 576, 736, 894?
-w**2 + 167*w + 84
What is the j'th term of 177, 132, 87, 42, -3, -48?
-45*j + 222
What is the x'th term of -118, -232, -344, -454?
x**2 - 117*x - 2
What is the i'th term of -31, -95, -195, -331, -503, -711?
-18*i**2 - 10*i - 3
What is the v'th term of -181, -361, -545, -733, -925, -1121?
-2*v**2 - 174*v - 5
What is the n'th term of -185, -191, -209, -245, -305?
-n**3 + n - 185
What is the j'th term of -487, -485, -483, -481, -479?
2*j - 489
What is the n'th term of 351, 356, 361?
5*n + 346
What is the v'th term of -54, -57, -62, -69, -78, -89?
-v**2 - 53
What is the p'th term of 23, 51, 95, 149, 207?
-p**3 + 14*p**2 - 7*p + 17
What is the v'th term of 667, 668, 669, 670, 671?
v + 666
What is the q'th term of 134, 267, 400, 533, 666?
133*q + 1
What is the n'th term of -36, -73, -122, -189, -280?
-n**3 - 30*n - 5
What is the v'th term of -25, -38, -39, -22, 19, 90, 197, 346?
v**3 - 20*v - 6
What is the n'th term of 5, -18, -87, -226, -459, -810, -1303?
-4*n**3 + n**2 + 2*n + 6
What is the h'th term of -511, -2068, -4663, -8296, -12967, -18676?
-519*h**2 + 8
What is the s'th term of -60, -64, -68, -72, -76, -80?
-4*s - 56
What is the g'th term of 3, 17, 33, 45, 47, 33, -3?
-g**3 + 7*g**2 - 3
What is the t'th term of -2929, -2928, -2927, -2926?
t - 2930
What is the r'th term of 718, 709, 688, 649, 586, 493, 364, 193?
-r**3 - 2*r + 721
What is the v'th term of 7, 14, 23, 34, 47?
v**2 + 4*v + 2
What is the l'th term of -422, -1709, -3854, -6857, -10718?
-429*l**2 + 7
What is the u'th term of -4599, -4601, -4605, -4611, -4619, -4629, -4641?
-u**2 + u - 4599
What is the d'th term of -36, -70, -126, -216, -352, -546, -810, -1156?
-2*d**3 + d**2 - 23*d - 12
What is the y'th term of 44, 107, 180, 263, 356, 459?
5*y**2 + 48*y - 9
What is the o'th term of -21, -85, -193, -345, -541, -781, -1065?
-22*o**2 + 2*o - 1
What is the f'th term of -221, -112, 69, 322, 647, 1044?
36*f**2 + f - 258
What is the y'th term of -22902, -22907, -22924, -22959, -23018?
-y**3 + 2*y - 22903
What is the j'th term of 30, 127, 288, 513?
32*j**2 + j - 3
What is the u'th term of -208, -201, -194, -187?
7*u - 215
What is the n'th term of 25, 105, 239, 427, 669?
27*n**2 - n - 1
What is the z'th term of 387, 386, 383, 378, 371, 362, 351?
-z**2 + 2*z + 386
What is the v'th term of -18, -67, -146, -255, -394, -563, -762?
-15*v**2 - 4*v + 1
What is the b'th term of -66, -104, -142, -180?
-38*b - 28
What is the a'th term of -18075, -36152, -54229, -72306?
-18077*a + 2
What is the u'th term of 1939, 1936, 1937, 1948, 1975, 2024, 2101, 2212?
u**3 - 4*u**2 + 2*u + 1940
What is the j'th term of -10918, -10917, -10914, -10909?
j**2 - 2*j - 10917
What is the i'th term of 4162, 4165, 4170, 4177, 4186?
i**2 + 4161
What is the x'th term of -2442, -4885, -7328, -9771?
-2443*x + 1
What is the z'th term of 85, 69, 53?
-16*z + 101
What is the f'th term of 17, 6, -17, -58, -123?
-f**3 - 4*f + 22
What is the j'th term of 68, 67, 66?
-j + 69
What is the p'th term of -239, -479, -719?
-240*p + 1
What is the g'th term of 14, 31, 56, 89, 130, 179, 236?
4*g**2 + 5*g + 5
What is the u'th term of -646, -2569, -5780, -10285, -16090?
-u**3 - 638*u**2 - 2*u - 5
What is the r'th term of 439, 446, 453, 460, 467?
7*r + 432
What is the p'th term of -47, -76, -103, -128, -151?
p**2 - 32*p - 16
What is the o'th term of 45, 67, 89, 111?
22*o + 23
What is the b'th term of -51, -93, -127, -153, -171, -181, -183?
4*b**2 - 54*b - 1
What is the i'th term of -164, -299, -410, -485, -512, -479, -374, -185?
2*i**3 - 149*i - 17
What is the r'th term of 0, 6, 34, 96, 204?
2*r**3 - r**2 - 5*r + 4
What is the z'th term of 436, 437, 438, 439, 440?
z + 435
What is the d'th term of 70, 123, 176, 229?
53*d + 17
What is the o'th term of 23083, 46166, 69249?
23083*o
What is the t'th term of 358, 351, 332, 295, 234?
-t**3 + 359
What is the j'th term of 1097, 1099, 1101, 1103, 1105?
2*j + 1095
What is the n'th term of -1098, -1100, -1092, -1068, -1022?
n**3 - n**2 - 6*n - 1092
What is the n'th term of 56, 58, 54, 38, 4, -54, -142?
-n**3 + 3*n**2 + 54
What is the j'th term of -6, 14, 72, 186, 374?
3*j**3 + j**2 - 4*j - 6
What is the h'th term of -5526, -5524, -5522, -5520?
2*h - 5528
What is the v'th term of -38, -134, -298, -536, -854, -1258?
-v**3 - 28*v**2 - 5*v - 4
What is the t'th term of -8, -7, 4, 31, 80, 157?
t**3 - t**2 - 3*t - 5
What is the r'th term of 7, 2, -9, -26, -49?
-3*r**2 + 4*r + 6
What is the g'th term of 5, 40, 73, 104, 133, 160?
-g**2 + 38*g - 32
What is the h'th term of 3153, 3150, 3147, 3144?
-3*h + 3156
What is the n'th term of 123, 246, 369, 492, 615, 738?
123*n
What is the p'th term of -151, -299, -445, -589, -731, -871?
p**2 - 151*p - 1
What is the q'th term of -17, -43, -97, -191, -337, -547, -833?
-2*q**3 - 2*q**2 - 6*q - 7
What is the m'th term of -464, -902, -1340, -1778?
-438*m - 26
What is the g'th term of -2506, -5011, -7516, -10021?
-2505*g - 1
What is the r'th term of -231, -465, -699, -933, -1167, -1401?
-234*r + 3
What is the s'th term of 13, 2, -9, -20, -31, -42?
-11*s + 24
What is the i'th term of -312, -311, -310, -309, -308?
i | {
"pile_set_name": "DM Mathematics"
} |
ded by 37?
5/37
Calculate 119 divided by 7.
17
-1 divided by 66
-1/66
1376 divided by 344
4
What is 492 divided by -246?
-2
Calculate -1425 divided by -3.
475
What is 2 divided by 1546?
1/773
-4056 divided by 12
-338
What is 2347 divided by -2347?
-1
What is 12468 divided by -1?
-12468
Divide 610 by 10.
61
What is 15 divided by -1?
-15
What is -648 divided by -162?
4
-12936 divided by 6
-2156
512 divided by 2
256
2010 divided by -5
-402
What is 8 divided by -89?
-8/89
3 divided by -3153
-1/1051
Divide 3 by 2472.
1/824
What is 105 divided by -2?
-105/2
Calculate 347 divided by -4.
-347/4
-33784 divided by -1
33784
4 divided by -20
-1/5
What is -2804 divided by 4?
-701
Divide -1092 by 26.
-42
169 divided by 1
169
Divide 321 by -5.
-321/5
3 divided by 18
1/6
What is 44 divided by 22?
2
What is 8548 divided by 2?
4274
What is -107 divided by -1?
107
561 divided by 3
187
Calculate -276 divided by -69.
4
5 divided by -30
-1/6
Calculate 4941 divided by 9.
549
Divide -2 by 1668.
-1/834
What is -87 divided by -6?
29/2
Divide 1045 by -95.
-11
Calculate 108 divided by -2.
-54
What is -1 divided by -617?
1/617
660 divided by -220
-3
Calculate 4 divided by -212.
-1/53
-3 divided by 98
-3/98
Calculate -636 divided by 2.
-318
What is 1320 divided by 264?
5
60 divided by -20
-3
1476 divided by 738
2
-60 divided by -60
1
What is -357 divided by 17?
-21
2090 divided by 4
1045/2
Divide -249 by 83.
-3
Calculate -336 divided by -6.
56
6744 divided by 2
3372
Calculate -4 divided by 227.
-4/227
-3 divided by -557
3/557
Divide 60 by 7.
60/7
What is -81 divided by -27?
3
Divide -51 by 3.
-17
0 divided by 253
0
-45 divided by -7
45/7
Divide 0 by 27.
0
-2814 divided by 6
-469
-14096 divided by -7048
2
Calculate 8268 divided by 4.
2067
Divide 20 by 22.
10/11
Divide 16 by -44.
-4/11
Calculate 3 divided by 361.
3/361
-30 divided by -1
30
-5 divided by 50
-1/10
-5836 divided by 5836
-1
Divide -10 by -638.
5/319
Calculate 135 divided by -135.
-1
Divide -3972 by -3.
1324
Divide -88 by -7.
88/7
What is -1407 divided by 3?
-469
270 divided by -5
-54
What is 297 divided by -11?
-27
Calculate -470 divided by -10.
47
What is 30 divided by -49?
-30/49
Calculate -3 divided by -26.
3/26
Calculate -2658 divided by 1.
-2658
What is 548 divided by -274?
-2
Calculate -5 divided by -211.
5/211
1209 divided by -93
-13
Calculate -316 divided by -4.
79
What is 714 divided by -7?
-102
Calculate -4302 divided by -18.
239
Calculate 4914 divided by -26.
-189
Calculate 6050 divided by 55.
110
Calculate -5 divided by -56.
5/56
What is 1246 divided by 2?
623
36678 divided by -6
-6113
Calculate -15 divided by 6.
-5/2
What is 41 divided by -35?
-41/35
Calculate 250 divided by -2.
-125
Divide -5 by -278.
5/278
Divide 74 by -2.
-37
-3586 divided by -1793
2
What is -34881 divided by -11?
3171
Calculate -5 divided by 59.
-5/59
Calculate -1463 divided by -133.
11
What is -280 divided by 56?
-5
Calculate 47 divided by 6.
47/6
-430 divided by 4
-215/2
Calculate 6004 divided by 38.
158
What is 210 divided by -30?
-7
1119 divided by 373
3
Calculate -51050 divided by -5.
10210
What is 564 divided by 1?
564
Divide 81 by -3.
-27
14 divided by 5
14/5
Calculate 1188 divided by 44.
27
Calculate 0 divided by -68.
0
Divide 54 by 18.
3
Calculate -12862 divided by 4.
-6431/2
Calculate 4 divided by 63.
4/63
What is 206 divided by -1?
-206
What is -3 divided by 1840?
-3/1840
Calculate 112 divided by -5.
-112/5
-4477 divided by -11
407
-1390 divided by -5
278
Calculate 67 divided by 67.
1
What is -2036 divided by -1?
2036
-164 divided by -3
164/3
Calculate 45 divided by -9.
-5
Calculate -2079 divided by -3.
693
-1 divided by 43
-1/43
What is 240 divided by -4?
-60
24 divided by -6
-4
625 divided by -125
-5
Divide 0 by 18.
0
Calculate 522 divided by -9.
-58
Divide 16564 by -2.
-8282
-4 divided by 2
-2
856 divided by 6
428/3
29 divided by 4
29/4
-6 divided by 188
-3/94
2084 divided by 2
1042
Divide 19 by 2.
19/2
14 divided by -11
-14/11
305 divided by 6
305/6
-19615 divided by 5
-3923
What is -85 divided by -52?
85/52
Divide 6 by -67.
-6/67
Divide -385 by 55.
-7
Divide -15405 by -1027.
15
0 divided by -14
0
Calculate -6460 divided by 68.
-95
What is -3 divided by 4889?
-3/4889
Calculate -5 divided by 5.
-1
Calculate 12 divided by 84.
1/7
What is -67 divided by -26?
67/26
Calculate 10 divided by 50.
1/5
What is 145 divided by 1?
145
Calculate 134 divided by -2.
-67
Calculate 32 divided by -16.
-2
10476 divided by 27
388
Divide 16236 by 396.
41
Divide 20895 by -3.
-6965
Divide 672 by -84.
-8
-80 divided by 3
-80/3
Divide 90 by 1.
90
1618 divided by 2
809
Calculate -55 divided by 16.
-55/16
18 divided by 566
9/283
-4 divided by 307
-4/307
Calculate -32 divided by 8.
-4
231 divided by -77
-3
What is -2 divided by -5897?
2/5897
What is 3544 divided by -443?
-8
Calculate -126 divided by 10.
-63/5
215 divided by 12
215/12
187 divided by 17
11
Calculate 0 divided by 4703.
0
Divide 12423 by -1.
-12423
What is -2151 divided by 3?
-717
Calculate 26 divided by 3.
26/3
Calculate -4 divided by 37.
-4/37
What is 440 divided by 2?
220
Calculate 20880 divided by 6.
3480
What is -3300 divided by -15?
220
Divide 1323 by 7.
189
Calculate 775 divided by 155.
5
Calculate 24 divided by -11.
-24/11
What is 4 divided by 430?
2/215
Calculate 96 divided by -7.
-96/7
Calculate -167 divided by -4.
167/4
-2334 divided by -2
1167
19 divided by 19
1
What is -1980 divided by -396?
5
Divide 5 by -145.
-1/29
Calculate 15 divided by 20.
3/4
Calculate -3 divided by -55.
3/55
What is -4 divided by -87?
4/87
What is -5 divided by -313?
5/313
Calculate 396 divided by 6.
66
2881 divided by -6
-2881/6
What is 738 divided by -6?
-123
Divide 260 by -4.
-65
-51 divided by 4
-51/4
Calculate 7412 divided by 6.
3706/3
What is 40 divided by 2?
20
-11394 divided by -3798
3
Calculate -61 divided by -37.
61/37
Calculate -158 divided by -79.
2
Calculate -2 divided by 140.
-1/70
What is 2697 divided by 31?
87
Divide -2 by -8137.
2/8137
Calculate 3 divided by -73.
-3/73
9990 divided by -4995
-2
What is 25 divided by -64?
-25/64
Calculate 874 divided by -437.
-2
-119 divided by 5
-119/5
-48 divided by 48
-1
690 divided by 230
3
What is 77 divided by 1?
77
Divide 273 by -1.
-273
Calculate -1 divided by 1.
-1
Calculate -1466 divided by 4.
-733/2
What is -45 divided by 15?
-3
7308 divided by -261
-28
26 divided by -26
-1
31 divided by -17
-31/17
Calculate 13 divided by 90.
13/90
-152 divided by 38
-4
Divide -15 by 38.
-15/38
Divide 626 by -313.
-2
-1753 divided by -8
1753/8
What is 120 divided by -24?
-5
What is 5270 divided by -3?
-5270/3
What is 4596 divided by 1532?
3
What is 88 divided by -22?
-4
What is 5 divided by -541?
-5/541
Divide -4 by -96.
1/24
What is -111 divided by -3?
37
Divide -1 by -107.
1/107
Calculate 5883 divided by -3.
-1961
Divide -11280 by -5.
2256
What is 376 divided by -2?
-188
Divide 1246 by -178.
-7
What is 24 divided by -49?
-24/49
Calculate 2 divided by -7169.
-2/7169
Calculate -48 divided by 8.
-6
-194 divided by -2
97
What is 17 divided by 64?
17/64
Divide 11016 by -9.
-1224
Divide -2285 by -4.
2285/4
257 divided by -1
-257
2170 divided by 10
217
Calculate 600 divided by 6.
100
Calculate 412 divided by 3.
412/3
Divide 217 by -3.
-217/3
Calculate -1068 divided by -4.
267
Calculate -453 divided by -4.
453/4
What is 1283 divided by 6?
1283/6
Calculate -176 divided by 22.
-8
Divide -441 by 49.
-9
What is -666 divided by 222?
-3
What is -387 divided by 44?
-387/44
Divide 308 by 22.
14
Divide -1554 by 259.
-6
8628 divided by -2876
-3
Calculate 0 divided by -50.
0
What is -79 divided by 92?
-79/92
What is 492 divided by -82?
-6
-107 divided by 1
-107
Divide 2064 by -24.
-86
What is -2 divided by 36?
-1/18
What is -1 divided by 114?
-1/114
Divide 97 by -97.
-1
What is 88 divided by -4?
-22
Divide -1296 by -648.
2
Calculate -10228 divided by 4.
-2557
Divide -5550 by 5.
-1110
2 divided by -6378
-1/3189
Divide 3 by 18.
1/6
Divide -68 by 346.
-34/173
Calculate 1575 divided by -315.
-5
Divide -3 by -37.
3/37
What is 389 divided by 3?
389/3
Divide -39 by 18.
-13/6
1054 divided by 3
1054/3
What is -2873 divided by -1?
2873
Calculate 200 divided by 40.
5
Divide 2 by -5822.
-1/2911
Divide 17 by -4.
-17/4
Calculate -57 divided by -44.
57/44
Calculate 6409 divided | {
"pile_set_name": "DM Mathematics"
} |
-5, -4, 27
Put -9, -1, -42, -8 in descending order.
-1, -8, -9, -42
Sort 2, -1/3, 0.4, 7/12, 4, -6.
-6, -1/3, 0.4, 7/12, 2, 4
Sort 313, 0, -3099.
-3099, 0, 313
Sort 159, -6, -79.
-79, -6, 159
Sort -4, 45, -149 in decreasing order.
45, -4, -149
Put -0.3, -0.1, 36/899, 0.5 in increasing order.
-0.3, -0.1, 36/899, 0.5
Put -1, 73, -102, 3 in decreasing order.
73, 3, -1, -102
Sort -0.05, 1/22506, -1.
-1, -0.05, 1/22506
Sort -1, -5, -4, -23, 451, 2 in descending order.
451, 2, -1, -4, -5, -23
Sort -3, 4, 22, 0, -15, 2 in increasing order.
-15, -3, 0, 2, 4, 22
Sort 0.15, 0, -39, -0.5.
-39, -0.5, 0, 0.15
Sort 2/15, 0, -620/49 in decreasing order.
2/15, 0, -620/49
Sort 16, 4/3, 3, -6, -2/13 in decreasing order.
16, 3, 4/3, -2/13, -6
Put 1, 1479, 5, 3 in ascending order.
1, 3, 5, 1479
Put 5, 55, 73, -14 in decreasing order.
73, 55, 5, -14
Sort 115, 7, -115 in decreasing order.
115, 7, -115
Sort -0.501, 12, 20 in descending order.
20, 12, -0.501
Sort 77, -4, 735 in descending order.
735, 77, -4
Sort 16, 2, 0, 18.
0, 2, 16, 18
Put 3, -1, 5, -588, 1 in increasing order.
-588, -1, 1, 3, 5
Put 16, 2, -4, 5, -27, 19 in ascending order.
-27, -4, 2, 5, 16, 19
Put -893/2, -2/9, 3 in decreasing order.
3, -2/9, -893/2
Sort -65, 0, -11, -3, 3 in descending order.
3, 0, -3, -11, -65
Put -8, 3, 0, 13844 in increasing order.
-8, 0, 3, 13844
Sort 3, 5, 231 in ascending order.
3, 5, 231
Sort -9, -7, -5, -3, -1138 in ascending order.
-1138, -9, -7, -5, -3
Put 5, -62, 1533, 3, 0 in descending order.
1533, 5, 3, 0, -62
Sort 15, -2/21, -0.5, 1/4, 0.04.
-0.5, -2/21, 0.04, 1/4, 15
Sort 0, -629, -8, -1.
-629, -8, -1, 0
Put -11/114, -4/9, -1 in decreasing order.
-11/114, -4/9, -1
Put 89, -8, -9, 0 in decreasing order.
89, 0, -8, -9
Sort 12, -205, 3, -14.
-205, -14, 3, 12
Sort -19, 2, -314, -81, 1.
-314, -81, -19, 1, 2
Sort -3, 2, -2, -201, -1 in ascending order.
-201, -3, -2, -1, 2
Put 7, 38, -8, -1, 0, -5 in increasing order.
-8, -5, -1, 0, 7, 38
Put -0.1, -1.45, -0.2, -1, 29, 0.1 in descending order.
29, 0.1, -0.1, -0.2, -1, -1.45
Put -1, -0.2, 0.94, -4, -0.208 in descending order.
0.94, -0.2, -0.208, -1, -4
Sort -45/4, 0, -1/4, 3, 2/47 in increasing order.
-45/4, -1/4, 0, 2/47, 3
Sort 6, 4/3, -3, 4, 37/313 in ascending order.
-3, 37/313, 4/3, 4, 6
Put 150, -40, -2, 10, 4 in descending order.
150, 10, 4, -2, -40
Put 7, -3/2, -1/5, -2, 0.2, -4274 in increasing order.
-4274, -2, -3/2, -1/5, 0.2, 7
Put 2, 6, -69, -68 in ascending order.
-69, -68, 2, 6
Sort -1, -8, -19, 3 in decreasing order.
3, -1, -8, -19
Sort -214842, -4, 0, 4.
-214842, -4, 0, 4
Sort -2, 151, 4, -3, 6.
-3, -2, 4, 6, 151
Sort 150/109, -3/7, -2.
-2, -3/7, 150/109
Sort -2, -3, 2, -10, -15 in decreasing order.
2, -2, -3, -10, -15
Sort -626, -3, 11 in ascending order.
-626, -3, 11
Sort 5, 2, -4, -137 in ascending order.
-137, -4, 2, 5
Sort -5, 27/5, 12023 in descending order.
12023, 27/5, -5
Sort -3, 6/13, -16.39, 0.1 in descending order.
6/13, 0.1, -3, -16.39
Sort -4, -2/43, 19, 0.29 in ascending order.
-4, -2/43, 0.29, 19
Put -118, 4, -619 in ascending order.
-619, -118, 4
Put -4, -133, -53 in decreasing order.
-4, -53, -133
Sort 5/1203, 1/7, -2, -2/7, -2/9.
-2, -2/7, -2/9, 5/1203, 1/7
Sort -8/11, 74, 2 in increasing order.
-8/11, 2, 74
Sort 2, 0.75, -10 in increasing order.
-10, 0.75, 2
Sort 10, 6, 2, 122 in ascending order.
2, 6, 10, 122
Sort 1, -1, -82, 58 in increasing order.
-82, -1, 1, 58
Put -712, 14, 1/5, 0 in descending order.
14, 1/5, 0, -712
Sort 0, -1, 1, 436, 3, -3 in descending order.
436, 3, 1, 0, -1, -3
Sort 0, -5, -0.1, -155.2 in decreasing order.
0, -0.1, -5, -155.2
Put 325, 0, 5, -112 in increasing order.
-112, 0, 5, 325
Put 1, -9, 0, 6, 11 in ascending order.
-9, 0, 1, 6, 11
Put -1/5, -2/85, 2, 0.45 in ascending order.
-1/5, -2/85, 0.45, 2
Sort -4, 4, -117, 9, -18, 2.
-117, -18, -4, 2, 4, 9
Sort 0.3, -27.544, -1, 0.4 in increasing order.
-27.544, -1, 0.3, 0.4
Put -0.5, -0.073, 190.7 in descending order.
190.7, -0.073, -0.5
Put 127/4, -0.7, -0.4 in decreasing order.
127/4, -0.4, -0.7
Sort -2, 3, -2342, -5 in descending order.
3, -2, -5, -2342
Put 2, -42/19, -3/4, 3, -38 in increasing order.
-38, -42/19, -3/4, 2, 3
Put 7, -4, -1/6, -3/5, 2/9, -79 in increasing order.
-79, -4, -3/5, -1/6, 2/9, 7
Sort 408, -4.75, -2.
-4.75, -2, 408
Sort -2.1, -2/7, -0.1, 1.4, 4.7 in increasing order.
-2.1, -2/7, -0.1, 1.4, 4.7
Sort 69, 0, 1, -6/5 in descending order.
69, 1, 0, -6/5
Put -7, 5, 453, -3 in descending order.
453, 5, -3, -7
Sort 34, 10, -1, 1, 5 in descending order.
34, 10, 5, 1, -1
Sort -114, -11, -0.08, 7.
-114, -11, -0.08, 7
Sort 33, 3, -4, 4, 34.
-4, 3, 4, 33, 34
Put 2, 0.17707, 0.5 in descending order.
2, 0.5, 0.17707
Sort -0.9, 0.01, 19, 5, 2/13.
-0.9, 0.01, 2/13, 5, 19
Sort 150, -2, -0.01, -0.1, 1 in descending order.
150, 1, -0.01, -0.1, -2
Put -3893, -5, -447 in decreasing order.
-5, -447, -3893
Put 0.34, 0.3, 9, 4, -2/403 in descending order.
9, 4, 0.34, 0.3, -2/403
Put -19, -2/7, -3/14, 1.2, 6/7 in decreasing order.
1.2, 6/7, -3/14, -2/7, -19
Sort 5, 87340, 1 in increasing order.
1, 5, 87340
Sort -5, -2377, -1, -4, 2 in descending order.
2, -1, -4, -5, -2377
Sort 2/420869, -1, -3/2 in ascending order.
-3/2, -1, 2/420869
Put 0.2, -2, 1.3, -3, -4, 0 in descending order.
1.3, 0.2, 0, -2, -3, -4
Sort -8, 2, -3, 231, 5, 3 in increasing order.
-8, -3, 2, 3, 5, 231
Sort -27, -4904, -5 in increasing order.
-4904, -27, -5
Put 7, 221, 1, -155 in increasing order.
-155, 1, 7, 221
Sort -9, -1, 17, -5, 1, 5.
-9, -5, -1, 1, 5, 17
Sort 8, 3, -1, -5, -4, -15 in decreasing order.
8, 3, -1, -4, -5, -15
Sort -0.1, 1/69, 5, -1055 in descending order.
5, 1/69, -0.1, -1055
Sort 1, 1189.05, 2.
1, 2, 1189.05
Sort -45, 7.1, 3 in decreasing order.
7.1, 3, -45
Sort 5, -14347, 2.
-14347, 2, 5
Sort -0.1, 2/21, 9, 1/73, 0, 17 in ascending order.
-0.1, 0, 1/73, 2/21, 9, 17
Put -7, -53685, 1 in descending order.
1, -7, -53685
Put -3, 5, -274, -2, 3, 4 in decreasing order.
5, 4, 3, -2, -3, -274
Put 1, 178, 5, -7, 0 in descending order.
178, 5, 1, 0, -7
Put 4, 0.1064, -0.24, -2/13 in decreasing order.
4, 0.1064, -2/13, -0.24
Put 3, 0.27, 6, -2/9, -5, 4 in decreasing order.
6, 4, 3, 0.27, -2/9, -5
Sort -1886/13, -4, 2/21 in decreasing order.
2/21, -4, -1886/13
Put 0, 35181, 5 in decreasing order.
35181, 5, 0
Sort -0.02443, 2/5, -8/9, 2, 1 in ascending order.
-8/9, -0.02443, 2/5, 1, 2
Put 27, 3, 0, 10, -92, 5 in descending order.
27, 10, 5, 3, 0, -92
Sort 1, 12, -104, -12, 4, 0 in increasing order.
-104, -12, 0, 1, 4, 12
Sort 3, 4661.41, 0.3 in ascending order.
0.3, 3, 4661.41
Sort 6, 0, 12, 1, 3.
0, 1, 3, 6, 12
Sort 1/6, -0.4, -0.29, -55/3 in ascending order.
-55/3, -0.4, -0.29, 1/6
Sort 0, 9, -125, 4, 5 in decreasing order.
9, 5, 4, 0, -125
Sort 13/4, -1, 2/35, -13 in descending order.
13/4, 2/35, -1, -13
Sort -6/13, 5/2, -3, 8, 0.12, -2 in decreasing order.
8, 5/2, 0.12, -6/13, -2, -3
Sort 1, -3, 9/4, -105, -0.5.
-105, -3, -0.5, 1, 9/4
Put 4, 6.515, -19 in descending order.
6.515, 4, -19
Sort 4, -249, 7, 0, -3 in increasing order.
-249, -3, 0, 4, 7
Sort 7.51, -1/3, 32/5 in ascending order.
-1/3, 32/5, 7.51
Sort -7, 53, 0.07, -2 in increasing order.
-7, -2, 0.07, 53
Put 2, -203, 5, 0, -148 in decreasing order.
5, 2, 0, -148, -203
Put -5, 73904, -2 in descending order.
73904, -2, -5
Sort 6, 3, 119/2, -0.2, 2/17 in increasing order.
-0.2, 2/17, 3, 6, 119/2
Sort -1, -32, -3121, -3 in ascending order.
-3121, -32, -3, -1
Sort 1, 5, -0.4, -3.4, -1.6.
-3.4, -1.6, -0.4, 1, 5
Sort 36, 0, 20, 5, 3.
0, 3, 5, 20, 36
Put 1, 1/9, 2/17, 2/177, -1/2 in increasing order.
-1/2, 2/177, 1/9, 2/17, 1
Put -8, -220, 4, 8 in ascending order.
-220, -8, 4, 8
Sort -20, 36, -10, 0.
-20, -10, 0, 36
Sort -2, 5/13, -1/14, -4, -3, 4 in decreasing order.
4, 5/13, -1/14, -2, -3, -4
Sort 10, -7, -3, 171, -3/2.
-7, -3, -3/2, 10, 171
Sort -61, 5, -2, 3, 49, -13.
-61, -13, -2, 3, 5, 49
Sort 23, -1/3, 0.4, -2/3, -3/74 in decreasing order.
23, 0.4, -3/74, -1/3, -2/3
Sort 1, -2/5, -4, -447/47.
-447/47, -4, -2/5, 1
Put -1, 26, -15, 5, -3, 4 in ascending order.
-15, -3, -1, 4, 5, 26
Sort -275, 5, -2 in descending order.
5, -2, -275
Put 8, -2, 1, -3, 3, -1 in descending order.
8, 3, 1, -1, -2, -3
Sort -1, 44, 1, -7.
-7, -1, 1, 44
Put -16/3, 15/4, -2/7, -13, 2 in | {
"pile_set_name": "DM Mathematics"
} |
- 1, -3*f - 2*x + 67 = h. Is f prime?
True
Suppose -v = 5 - 8, 3*w + 2766 = -5*v. Let z be 1/3 - 2768/6. Let n = z - w. Is n a composite number?
True
Let q(i) = 31*i**3 - 4*i + 26. Is q(5) a prime number?
True
Suppose -73*h = -74*h + 6449. Is h a composite number?
False
Let b be 23/6 + 2/12. Let y(j) = 26*j - 7. Let o be y(b). Suppose 0 = 2*c - c - o. Is c a composite number?
False
Let y = 5 + -3. Let u(r) = 0*r**3 - r - y*r**2 - 10 - r**3 + 9. Is u(-5) prime?
True
Suppose 0 = 9*x - 15*x + 75642. Is x a prime number?
False
Let x = -82 - -97. Is (-9)/x - (-27896)/10 a composite number?
False
Suppose 4666 = 11*h - 9*h. Is h a prime number?
True
Suppose -2*g = -g - 4. Suppose g*j = 2*q - 11 + 1, q - 5 = -2*j. Suppose j*b - 6*b + 1758 = 0. Is b prime?
True
Suppose 2*n - 4*o = 14, 16 - 4 = 2*n - 3*o. Suppose 425 = 3*m + 2*m + 4*i, n*i = 0. Is m composite?
True
Let g(w) = w**3 + 14*w**2 - 7*w + 20. Let z be g(-11). Suppose -5*r + z + 1605 = 0. Is r a prime number?
False
Suppose 2955 = 2*g - 973. Suppose 8*s - 4*s - 2949 = -3*b, 2*b = -2*s + g. Is b prime?
False
Let o(k) = -2*k**3 - 7*k**2 - 3*k - 4. Let t be o(-3). Is -7*(368/4)/t composite?
True
Let s = -3862 + 7271. Is s composite?
True
Suppose -4*v - 14706 + 54990 = 0. Let z = v + -15398. Is z/(-49) + 4/14 prime?
True
Suppose -5*n = -3*z - 5746, 4*n - z - 5510 = -909. Is n a composite number?
False
Let p(g) = -g**3 - 5*g**2 - 6*g - 5. Suppose t + 16 = -3*t. Let f be p(t). Let o = f + 30. Is o composite?
True
Let h be 21/4 - 7/28. Suppose 1953 = -5*v + 2*o + 6394, 0 = -h*v + 3*o + 4444. Is v a composite number?
False
Suppose -2*g + 127 = -95. Let w = -44 + g. Is w composite?
False
Suppose -2*c + 5*a + 62 = -c, 293 = 4*c - 5*a. Suppose 0 = -4*u - 3*u + c. Is u a prime number?
True
Suppose 0 = -5*c + 2*q + 10307, -q + 640 = c - 1427. Is c a composite number?
False
Let p(f) be the first derivative of -13*f**2/2 - 13*f - 1. Let u = -1296 + 1290. Is p(u) composite?
True
Let s(o) = -2*o - 2. Let j be s(-5). Let n(h) be the third derivative of 3*h**4/4 - h**3/6 - 25*h**2 + h. Is n(j) composite?
True
Suppose 5*i = i + 8980. Suppose -5*u = -0*u - i. Is u a prime number?
True
Suppose -15 = -3*z - 2*z. Suppose -1 = 2*h - 3*r, 0 = -z*h + 5*r - r. Suppose -396 = -h*w + 112. Is w composite?
False
Let s(j) = -j**2 - 4*j - 3. Let u be s(-5). Let f(l) = 3*l**2 - 5*l - 11. Is f(u) prime?
False
Let k = 7 - 3. Suppose -s + 2*m + 815 = 0, -m = -0*s + k*s - 3260. Suppose 2*q + 3*q - s = 0. Is q a composite number?
False
Let g be 4/(-16)*-4 + 1*655. Let x = g + 855. Is x a composite number?
False
Let f(v) = 3*v**3 + 3*v**2 - 8*v - 1. Let d be f(-6). Let t = d - 40. Let o = -370 - t. Is o a composite number?
False
Suppose -5*y + 3*j = -y - 73580, -5*y + 91970 = -5*j. Is y a composite number?
True
Suppose 0 = 3*p - l - 200958, -70332 = 2*p - 5*l - 204317. Is p prime?
False
Suppose -3*a - a - 4*l + 8992 = 0, 3*l = -5*a + 11250. Let s = 583 - a. Is (-1)/(-3) + s/(-3) a prime number?
True
Let i = -17773 - -31667. Is i prime?
False
Suppose -40 = -3*w - 25. Suppose -5*q = -4*v - 817 - 2932, 0 = 3*q + w*v - 2242. Is q prime?
False
Let m be ((-9)/3)/(-6)*-289*2. Let i = 840 + m. Is i a prime number?
False
Suppose 105 + 55 = -5*t. Let z = 70 + -1. Let b = t + z. Is b a prime number?
True
Let y be 9 + (-1)/((-1)/2). Suppose -y = -3*q + 1. Suppose -4*w - q*v = -288, -v - 4*v - 42 = -w. Is w a composite number?
False
Suppose 0 = -567*m + 559*m + 8344. Is m a composite number?
True
Let c be (141 + (-20)/(-5))*12/(-10). Let b = c - -520. Is b a prime number?
False
Let r = -12 - -16. Is 0 + -7 + r + 790 a prime number?
True
Suppose 0 = 2*j + d - 528, 0 = 64*d - 62*d - 4. Is j a prime number?
True
Let w(s) = 5*s - 1. Let h be w(5). Suppose -h*k + 480 = -19*k. Suppose 2*m + 5*x - k = 0, -3*x = -5*m - 8*x + 270. Is m a composite number?
True
Let k = 1424 + 1027. Let m be k*1 + -2 + 2. Suppose 5*t + 4*f = m, -t + f = 4*f - 499. Is t a composite number?
False
Let d = -6058 - -11619. Is d a prime number?
False
Let f be (-2)/((-16)/(-2)) + (-273)/(-52). Let m(x) = -x**2 - 11*x + 7. Let h be m(-8). Suppose -416 + h = -f*w. Is w composite?
True
Let b be (0 - 1 - -5)/2. Suppose -5*w - 10 = 0, 892 = b*d + 3*d - w. Is d a prime number?
False
Let m(x) be the second derivative of -150*x**3 - x**2/2 - 29*x. Is m(-2) a composite number?
True
Let c be 1/(-2)*(-4 - -4). Suppose c = 3*w - w + 536. Let g = 445 + w. Is g a composite number?
True
Let g be -4*3*3/(-6). Let l(m) = -m**3 - m**2 + m. Let s(k) = -254*k**3 - 6*k**2 + 5*k + 2. Let z(b) = g*l(b) - s(b). Is z(1) a composite number?
True
Suppose -3 = 2*d + 5*s - 67, -3*d = -4*s - 142. Let y be 2/((-7)/(d/(-4))). Suppose 0 = 3*i + 3*t + t - 98, -y*i - 3*t = -99. Is i prime?
False
Let h be 3 + (-4)/((-4)/(-3)). Suppose h = 7*s + 551 - 6816. Is s composite?
True
Let s = 9573 - 4861. Suppose -4*a + 3*a + s = 4*f, -4*a = -5*f + 5869. Is f composite?
True
Let x = -29 - -8. Let o(j) = -j**3 - 19*j**2 + 8*j + 23. Is o(x) prime?
False
Let o = 15 + -15. Suppose 85 = r - o*r. Is r a prime number?
False
Is -61141*(-5)/(-15)*(3 + -6) a composite number?
False
Let w(g) = g**3 - 5*g**2 + 6*g - 4. Suppose -2*s + 2*h + 2 + 2 = 0, s - 3*h = -2. Let t be w(s). Suppose j = -t*x + 129, 5*x - 94 = 2*j + 51. Is x prime?
True
Suppose 11*w - 4*w + 168 = 0. Let j = w - -28. Suppose -j*d = -4*c + 852, -2*c - 5*d - 140 = -580. Is c a composite number?
True
Let c(m) = 3*m**3 - 34*m**2 - 13*m - 13. Let i = 41 + -27. Is c(i) prime?
True
Let f = 1797 - -3592. Is f a prime number?
False
Suppose 8*m + 188 = 6*m. Let q = 209 + m. Is q a prime number?
False
Let h(g) = 3*g**3 - 9*g**2 - 11*g + 20. Let n be h(8). Let k = 2403 - n. Is k a prime number?
True
Let n be ((-24)/5)/((-6)/940). Suppose 5*m = -197 + n. Suppose -5*a = -224 - m. Is a a prime number?
True
Let u = 52808 + -9055. Is u a composite number?
False
Suppose 2*k = -3*s + 36792, -5*k - s + 42903 + 49064 = 0. Is k a composite number?
True
Let n = 86 - -384. Let l = -25 + n. Is l composite?
True
Let a be (6/(-3))/(2/2268). Let k = 1472 + a. Let l = 1161 + k. Is l prime?
False
Let o = -94 - -67. Let f = -6 - o. Is f a prime number?
False
Suppose 14 = d - 5. Let c = 22 - d. Suppose 37 = 4*g - c*g. Is g a composite number?
False
Suppose -611*c = -610*c - 29551. Is c a composite number?
True
Let w(p) = p + 36. Suppose -x + 28 = 3*k + 11, -4*x + 4*k = -68. Is w(x) prime?
True
Suppose 0 = 26*s - 30*s + 8. Suppose -l + s*a - 8 = 1, 5 = -a. Let u = 130 - l. Is u composite?
False
Suppose -4*x + 2*b = 5*b - 1052, 0 = 3*x - 4*b - 814. Let j = -148 + x. Is j prime?
False
Is (6 + 28681)*(5 + -3 + -1) prime?
True
Let g be (22 + -501)/((-1)/(-7)). Let k = -1974 - g. Is k composite?
True
Let d(m) = 103 + m + 71 - 21 - 10. Let g = 23 + -23. Is d(g) a prime number?
False
Suppose 55*a + 4 = 54*a. Let o(s) = -9*s**3 - 6*s**2 - s - 3. Is o(a) composite?
True
Let h(w) = 453*w + 15. Is h(2) a composite number?
True
Let j be 6/10*(-14 - -19). Suppose 0 = -j*q + 5*k + 7, 0 = k - 6*k + 5. Suppose -3*s + 0*v = q*v - 351, 4*s = 2*v + 446. Is s a composite number?
False
Let w = 14 + -9. Suppose 0 = a - 2 + w. Is ((-10)/a)/(6/333) composite?
True
Let g be 2 - (-1)/(1/(-2188)). Is 6/9 + g/(-6) a prime number?
False
Let p(f) = 116*f**2 - 3*f + 44. Is p(5) a prime number?
False
Let q be 2/(-4) + (-265)/10. Let z = q - -99. Suppose 0 = 4*g - z - 116. Is g composite?
False
Let j(s) = 10*s**2 - 13*s + 38. Is j(9) composite?
True
Let w = 13436 - 6967. Is w a composite number?
False
Suppose -u = 4*p - 7367, -6*p + p + 29501 = 4*u. Is u a composite number?
True
Let n = -175 - -1686. Is n a composite number?
False
Suppose 8*a - 4*b - 148680 = 0, -2*b + 4 = 12. Is a composite?
False
Let r(l) = 2*l**3 + 9*l**2 - 8*l + 3. Let h(x) = x**3 + x**2 - x - 1. Let k(o) = -6*h(o) + r(o). Let g be (-650)/182 - 3/7. Is k(g) composite?
True
Suppose 6*n - 5*n - v = 72355, -n + 72343 = 5*v. Is n a prime number?
True
Let k = -12154 + 24815. Is k prime?
False
Suppose 4032 - 30728 = -8*r. Is r a composite number?
True
Suppose 22*w + 102 = 20*w. Let f = 8 - w. Is f prime?
True
Is 6 + (-71439)/(-33) - 2/(-11) prime?
False
Suppose 5*d = 2*k + 16198 + 7585, -3*d + 14268 = -3*k. Is d a composite number?
True
Suppose -o + 10097 + 2261 | {
"pile_set_name": "DM Mathematics"
} |
at is y(x(r))?
-64*r
Let x(b) = -2*b. Suppose 4*w = 16, -5*k + 0*w + 62 = -2*w. Let i(r) = -125*r + 24 - k - 10. Determine i(x(f)).
250*f
Let r(f) be the second derivative of 7/12*f**4 + 0*f**2 - 2*f - 1 + 0*f**3. Let a(b) = 3*b**2. Calculate r(a(c)).
63*c**4
Let z(x) = -55*x**2 - 9*x. Let g(j) = -190285*j + 1. Calculate g(z(q)).
10465675*q**2 + 1712565*q + 1
Let g(h) = -26*h**2 - 2 + 2. Let s(m) = m**2 - m - 1. Let c(x) = -x - 1. Let q(r) = -2*c(r) + 2*s(r). Calculate g(q(f)).
-104*f**4
Let a(g) = -3*g + 15. Let j(t) = t**2 - t - 27. Let f be j(-5). Let y be a(f). Let c(k) = -9*k - y*k + 13*k. Let p(h) = 2*h. Calculate p(c(i)).
-4*i
Let y(p) be the third derivative of p**5/20 + 12*p**2. Suppose 3*r - 1775 = 2992. Let o(h) = -3179*h + 1591*h + r*h. What is o(y(z))?
3*z**2
Let d(j) = 3148432*j. Let f(l) = -6*l**2. Determine d(f(c)).
-18890592*c**2
Let g(n) = -111*n**2. Let o(i) = -i**2 - 12*i - 29. Let t be o(-5). Let x(w) = w**2 + 12. Let s(k) = 2*k**2 + 26. Let y(q) = t*s(q) - 13*x(q). Give g(y(l)).
-111*l**4
Let k(m) be the third derivative of m**5/60 + 220*m**2 + 13. Let q(b) = -232*b**2 - 2. What is k(q(o))?
53824*o**4 + 928*o**2 + 4
Let s(j) = -5*j. Let x be (-221)/(-65) + 4/(-10). Let n(o) = 7*o + 13*o + 16*o - x*o. What is n(s(p))?
-165*p
Let s(l) = -15152*l**2 - 460. Let j(o) = -3*o**2. Give s(j(m)).
-136368*m**4 - 460
Let b(v) = -v - 1. Let s(l) = -3*l**2 + 3*l + 3. Let w(t) = -3*b(t) - s(t). Let x(h) be the second derivative of 89*h**4/12 - 1615*h + 23. What is w(x(i))?
23763*i**4
Let g(z) be the second derivative of 5*z**3/3 + 937*z. Let j(w) = 18*w + 5. Determine g(j(c)).
180*c + 50
Let o(n) be the third derivative of -n**5/5 + n**4 + 146*n**2 - 8. Let r(u) = -2*u. Give r(o(j)).
24*j**2 - 48*j
Let t(i) = -i. Let f(n) = -583*n. Let v(m) = 579*m. Let g(d) = -5*f(d) - 4*v(d). Determine t(g(o)).
-599*o
Let l(n) = 74*n - 37. Let k(g) = g**2 + 2*g - 1. Let p(v) = 37*k(v) - l(v). Let y(a) be the second derivative of 5*a**4/12 + 14*a. Determine p(y(b)).
925*b**4
Let h(t) = 2655*t + 3. Let s(v) = 43*v. Determine h(s(b)).
114165*b + 3
Let j(q) = 4*q**2. Let u(h) = -4*h**3 + 3*h**2 + 47*h - 17. Let b be u(-11). Let o(i) = b*i - 8*i**2 - 5153*i. Calculate j(o(d)).
256*d**4
Let y(m) be the first derivative of 0*m**2 + 11/3*m**3 + 13 + 0*m. Let t(x) = -4 + 3 - x + 1. Calculate t(y(d)).
-11*d**2
Let n(a) = -7*a + 504. Let g(h) = -4*h + 307. Let w(f) = 13*g(f) - 8*n(f). Let r(y) = 2*y. Give r(w(q)).
8*q - 82
Let j(n) = -2*n - 5 + 5. Let g(k) = -k**2 + 10*k + 11. Let x be g(8). Let b(z) = -x*z - 8*z - 2*z - 15*z + 21*z. Give b(j(y)).
62*y
Let r(j) = 188*j**2. Let n(x) = 3*x**2 - 188*x - 5. Determine n(r(v)).
106032*v**4 - 35344*v**2 - 5
Let r(b) = -2315201*b. Let g(d) = 3*d. Give r(g(t)).
-6945603*t
Let i(d) = -11*d. Let q(a) = -15*a + 9. Let c be q(0). Let o(j) = -14*j + 15*j - c*j. Give o(i(p)).
88*p
Let p(t) = -25*t. Let x(n) = -12*n. Let h(a) = -p(a) + 2*x(a). Let l(g) = 1490*g**2. What is h(l(m))?
1490*m**2
Let z(t) = -107429*t**2 - 107434*t**2 + 214864*t**2. Let a(g) = 7*g**2 + 6*g**2 + 66*g**2. What is z(a(d))?
6241*d**4
Let i(n) = n. Let h(s) be the first derivative of s**4/4 - 50*s + 30. Let v(f) be the first derivative of h(f). Calculate v(i(r)).
3*r**2
Let h(o) = 34*o + 30*o - 94*o + 32*o. Let a(x) = -2*x - 5. Let v(b) = -2*b - 5. Let p be 3*(-2 + (-6)/(-9)) + -2. Let j(y) = p*a(y) + 5*v(y). Determine j(h(d)).
4*d + 5
Let m(g) be the third derivative of 31*g**5/20 + 2522*g**2 - 2. Let p(t) = 12*t**2 - 3. Calculate m(p(q)).
13392*q**4 - 6696*q**2 + 837
Let a(p) be the third derivative of 7499*p**5/60 - 741*p**2. Let b(u) = u. What is b(a(k))?
7499*k**2
Let z(n) = 2*n**2. Let o(d) = 1 - 4199*d**2 + 424*d**2 + 1 - 2. Determine o(z(f)).
-15100*f**4
Let u(j) = 16*j**2. Let f(p) be the third derivative of 161*p**5/60 + 2517*p**2. Calculate f(u(d)).
41216*d**4
Let l(w) = -44028*w. Let y(v) = 2662*v**2. What is y(l(d))?
5160193255008*d**2
Let d(k) = -3*k**2. Let u(s) = 68042753*s**2. Calculate u(d(v)).
612384777*v**4
Let y(n) be the first derivative of 19*n**2/2 - 4226. Let k(s) = 3*s + 16. Calculate k(y(z)).
57*z + 16
Let g(b) = -43*b. Let r(c) be the second derivative of 2*c**4/3 - 1183*c. What is g(r(w))?
-344*w**2
Let h be (-89)/(-3) + (-18)/27. Let r(x) = h - 67 + 38 - 2*x. Let m(b) be the third derivative of -b**5/12 + b**2. What is r(m(f))?
10*f**2
Let i(h) = 1004*h + 82. Let v(y) = -2*y + 75. Give v(i(j)).
-2008*j - 89
Let b(a) = a. Let n(r) = 22*r + 5532162. What is b(n(v))?
22*v + 5532162
Let t(q) = 76*q. Let p(u) = 143061*u**2. What is t(p(f))?
10872636*f**2
Let d(l) = -11*l**2. Let i(j) = -476*j**2 + 5*j + 5. Let u(h) = -242*h**2 + 3*h + 3. Let w(t) = 3*i(t) - 5*u(t). Calculate w(d(b)).
-26378*b**4
Let g(m) = 310*m**2 - 620*m**2 + 305*m**2. Let n(d) = -4*d - 27. Determine g(n(i)).
-80*i**2 - 1080*i - 3645
Let v(u) = -228*u. Let r(c) be the first derivative of 2*c**3/3 - 2416. Determine r(v(l)).
103968*l**2
Let f(d) be the first derivative of 44 + 14/3*d**3 + 0*d**2 + 0*d. Let a(q) = 6*q - 10. Let u(g) = 2*g - 3. Let x(z) = 3*a(z) - 10*u(z). Calculate x(f(l)).
-28*l**2
Let z(g) = 11 - 7*g - 6 - 5. Let u(w) be the second derivative of 1/6*w**3 + 0 - 12*w + 0*w**2. Give z(u(y)).
-7*y
Let q(h) = -33*h**2 + 12*h + 474. Let w(k) = -2*k**2 + 2*k + 79. Let n(g) = q(g) - 6*w(g). Let z(d) = 0 + 0 + 8*d**2. Determine z(n(j)).
3528*j**4
Let k(l) be the third derivative of 5*l**4/12 + 7*l**2. Suppose q + 8 = -5*w + 21, 3*q = -4*w + 28. Let f(b) = 253 - 253 - q*b. Give f(k(i)).
-80*i
Let u(m) = -3*m**2 + 84*m + 150. Let c(v) = 7*v**2 - 189*v - 298. Let a(q) = 4*c(q) + 9*u(q). Let s(k) = 4*k**2. Calculate s(a(l)).
4*l**4 + 1264*l**2 + 99856
Let v(p) = 71303415*p. Let h(c) = -3*c**2. Determine v(h(b)).
-213910245*b**2
Let q(c) be the second derivative of c**3/6 - 27*c**2/2 + 24*c. Let z(t) be the first derivative of -t**2/2 - 251. Determine z(q(j)).
-j + 27
Let k(c) = 6*c + 47. Let i(f) = -6*f - 4. Let w(l) = 9*l + 5. Let m(x) = -5*i(x) - 4*w(x). Calculate k(m(v)).
-36*v + 47
Let v(f) = -17*f**2 + 480*f + 9. Let d(o) = 73*o**2 - 1919*o - 39. Let q(a) = 3*d(a) + 13*v(a). Let t(m) = -4*m. What is t(q(s))?
8*s**2 - 1932*s
Let h(d) = 2*d**2. Let g(s) be the third derivative of s**4/24 - 85*s**3/6 + 142*s**2. What is g(h(l))?
2*l**2 - 85
Let n(t) = 313*t - 627*t + 316*t. Let o(c) = -77*c + 35. Let p(s) = s - 1. Let l(u) = -o(u) - 35*p(u). Determine n(l(d)).
84*d
Let f(v) = 43*v. Let t(o) = 86*o. Let p(k) = -11*f(k) + 6*t(k). Let l(j) be the third derivative of -j**5/20 + 79*j**2. Calculate p(l(y)).
-129*y**2
Let q(h) = h - 8. Let j be q(7). Let c be 1*2*j/(-1). Let v(d) = 3*d**2 - 5*d**2 + 3*d**c. Let o(s) = 8*s. Determine o(v(w)).
8*w**2
Let a(g) be the first derivative of 22*g**3/3 - 1. Let q(n) = -3*n + 2. Let j(s) = 22*s - 14. Let d(c) = j(c) + 7*q(c). Determine d(a(k)).
22*k**2
Let s(a) = -3*a + 14. Let r(b) = -12*b + 42. Let w(j) = -r(j) + 3*s(j). Let h(u) = u + 786. Determine h(w(c)).
3*c + 786
Let j(m) = 432661664*m - 1. Let g(c) = -c**2. Calculate j(g(h)).
-432661664*h**2 - 1
Let g(y) = -286*y + 8. Let k(f) = -91 - f**2 - 116 + 326 - 119. Give k(g(c)).
-81796*c**2 + 4576*c - 64
Let o(c) = c**2. Suppose 0 = 3*a + 80 - 8. Let n = a + 48. Let w(k) = -3 - 4 + 7 + n*k**2. Give w(o(x)).
24*x**4
Let y(a) = 21105*a - 42541*a - 3*a**2 + 20790*a. Let s(c) = c**2. Give y(s(i)).
-3*i**4 - 646*i**2
Let b(o) = -o. Let r(a) be the second derivative of -79*a**4/3 - a + 157. Give b(r(h)).
316*h**2
Let k(q) = 33216*q - 1. Let z(f) = 9*f. Calculate k(z(i)).
298944*i - 1
Let d(p) = -242*p - 17. Let n(i) = -37*i**2 + 6*i - 2. Calculate d(n(z)).
8954*z**2 - 1452*z + 467
Let o(h) = 569122*h**2. Let l(d) = 162*d**2. Give l(o(q)).
52471775843208*q**4
Let q(r) = 336*r + 1. Let x(a) = -2*a**2 + 7*a - 527. What is x(q(b))?
-225792*b**2 + 1008*b - 522
Let u(p) be the third derivative of 13*p**4/24 - 1154*p**2. Let h(t) = -8*t. Calculate u(h(d)).
-104*d
Let i(b) = -3*b**2. Suppose 5*n = -2*n + 14. Let l(t) = -1345*t**2 + 686*t**n + 675*t**2. Determine l(i(k)).
144*k**4
Let y(g) be the first derivative of -701*g**3 - 2542. Let s(k) = -2*k**2. Determine y(s(n)).
-8412*n**4
Let l(x) be the first derivative of 2*x**3/3 - 3587. Let g(n) = 2512*n**2. Give l(g(m)).
12620288*m* | {
"pile_set_name": "DM Mathematics"
} |
3*p - 2699366 wrt p?
-5264873
What is the derivative of 107038289*n - 4268449?
107038289
Find the second derivative of 46*a**2*u**2 - 39*a**2 - 318349*u**2 + 691970*u wrt u.
92*a**2 - 636698
Find the third derivative of -1536556*g**3 - 2182389*g**2 + g.
-9219336
What is the third derivative of 145487*g**3*u - 646*g**3 - 40*g**2*u - g**2 + g*u - 2*g + 2*u - 1953 wrt g?
872922*u - 3876
Find the second derivative of -24856947*r**2*x**2 - 4*r*x + 3*r + 491518*x**2 - 2 wrt r.
-49713894*x**2
What is the second derivative of 3647128*p**4 - 7638146*p wrt p?
43765536*p**2
What is the second derivative of 156640943*o**5 - 85891991*o + 2 wrt o?
3132818860*o**3
What is the third derivative of 136*d**3*i*z - 133*d**3*i + 15*d**3*z + 2*d**2*i*z + 2*d**2 - 296545*i wrt d?
816*i*z - 798*i + 90*z
What is the third derivative of -7632298*i**5 - 371*i**2 + 2*i - 1333 wrt i?
-457937880*i**2
What is the derivative of -2*f*r**2 - 4*f*r - 5*f - 131787*r - 262932 wrt r?
-4*f*r - 4*f - 131787
Differentiate 16*g**3*k**2 - 390*g**3 + 3*g**2*k**2 + 20568*g**2 - 70796*g*k with respect to k.
32*g**3*k + 6*g**2*k - 70796*g
Find the second derivative of 9232*i*z**2 + 35462*i*z - 87*z**3 + 2*z - 16 wrt z.
18464*i - 522*z
What is the derivative of -252928700*p**3 - 315608731?
-758786100*p**2
Find the third derivative of 14*v**4 + 253978*v**3 - 5*v**2 + 359*v - 654 wrt v.
336*v + 1523868
What is the second derivative of -34272089*t**5 - 319985*t + 9 wrt t?
-685441780*t**3
Find the third derivative of 153158115*n**3*s - 114*n**2*s - 46*n**2 + n*s + n - 4*s + 2 wrt n.
918948690*s
Differentiate 75697211*l**4 + 21768341.
302788844*l**3
What is the third derivative of 18939*c**5 + 255*c**4 + 2*c**3 - 34*c**2 + 65*c - 2832 wrt c?
1136340*c**2 + 6120*c + 12
Find the first derivative of 3*n**2*o**3 - 2*n**2 + 1407998*n*o**3 + 9*n - 12562 wrt o.
9*n**2*o**2 + 4223994*n*o**2
What is the second derivative of 4281022*j*z**3 - 24*j*z**2 - 2*j - 2*z**3 - 81*z - 2074771 wrt z?
25686132*j*z - 48*j - 12*z
Find the second derivative of -89141*u**5 + u**3 + 37*u**2 + 2*u - 3450886.
-1782820*u**3 + 6*u + 74
Find the second derivative of 4*i**3 + 423712*i**2 + 2*i - 2389853.
24*i + 847424
Find the third derivative of -65*x**5 - 131177*x**3 - 35687287*x**2 wrt x.
-3900*x**2 - 787062
What is the third derivative of 3286364*j**5 + 3*j**4 + 72240841*j**2?
197181840*j**2 + 72*j
Find the third derivative of -32*g**5 + 11233*g**4 - 220875*g**2 + 12*g wrt g.
-1920*g**2 + 269592*g
Find the second derivative of -758*n**4 + n**3 - 15544*n**2 - 52438154*n wrt n.
-9096*n**2 + 6*n - 31088
Differentiate -2045*d*i + 25*d + 156*i - 1442 wrt i.
-2045*d + 156
What is the second derivative of 24*m*q**2 - 896*m*q + 41*m + 57401*q**2 + q + 12 wrt q?
48*m + 114802
What is the second derivative of -8752750*q**2 - 17*q + 123615?
-17505500
What is the second derivative of 14*u*v**3 - 34371447*u*v - 2*u - 571694*v**5 wrt v?
84*u*v - 11433880*v**3
Differentiate -11491311*c**3 + 427073 with respect to c.
-34473933*c**2
What is the derivative of -601856136*y*z + 278679089*y + 2 wrt z?
-601856136*y
What is the second derivative of 4920293*k**4 + 2*k**3 - 124613734*k wrt k?
59043516*k**2 + 12*k
Find the second derivative of 83*f*z**2 - 362*f*z - 12019*z**2 - 3327*z wrt z.
166*f - 24038
Find the second derivative of -232755561*w**3 + 154*w + 1168020 wrt w.
-1396533366*w
What is the second derivative of 1983906*k**5 + 23*k - 103484 wrt k?
39678120*k**3
Find the third derivative of 43435*j*r**5 - 251*j*r**3 - 2*j*r**2 + 2*j*r - 21*r**2 + 2282 wrt r.
2606100*j*r**2 - 1506*j
What is the third derivative of 42850845*a**3 - 30567411*a**2 wrt a?
257105070
Find the third derivative of -6723820*l**3 - 10937547*l**2 wrt l.
-40342920
What is the first derivative of 2*u**3 + 560*u**2 + 945*u - 241789?
6*u**2 + 1120*u + 945
What is the derivative of -1027*o**3*p**2 + 2184*o**3*p*w**3 + 9*o**3 + 42*o*p**3 + 8504*p**3*w wrt w?
6552*o**3*p*w**2 + 8504*p**3
What is the third derivative of 74711100*k**3*r**3 + k**3*r**2 - k**3 - 16*k*r**2 + 109*k*r + r wrt r?
448266600*k**3
What is the derivative of -10*u**3 - 2302*u**2 - 159*u - 26629978?
-30*u**2 - 4604*u - 159
What is the third derivative of 143450126*g*u**4 - g*u**3 + 43*g*u**2 - 3*g*u + 1582*g - u**2 wrt u?
3442803024*g*u - 6*g
What is the first derivative of -17*x**2 - 3641703*x + 140505646 wrt x?
-34*x - 3641703
Find the third derivative of 7356278*z**4 + z**2 + 449*z - 706 wrt z.
176550672*z
Find the first derivative of -38954914*n**3 - 5571588.
-116864742*n**2
What is the derivative of 149807837*h*t**2 - 177502735*t**2 wrt h?
149807837*t**2
Find the third derivative of -117596899*a**3 + 515109130*a**2 wrt a.
-705581394
What is the second derivative of 4*r**3 - 522348*r**2 - 920276*r?
24*r - 1044696
Find the second derivative of -36178930*a*p**2 - 1305*a*p + 2*a - 17*p - 18 wrt p.
-72357860*a
What is the derivative of 162*k*q*r - 8*k*r + 95343*k - 11*q**3 - 65*q**2*r - 2*r + 2 wrt q?
162*k*r - 33*q**2 - 130*q*r
Differentiate 743107*n**2*v**3 - 2*n**2 + 35*n*v**3 + 74*v**3 + 33*v**2 + 3035*v with respect to n.
1486214*n*v**3 - 4*n + 35*v**3
Find the third derivative of 1451078*c**3 + 633*c**2 + 141*c + 8 wrt c.
8706468
What is the derivative of -120382*h**2 - 25*h + 127030965 wrt h?
-240764*h - 25
What is the second derivative of 22134*l*p*r**2 + 48*l*p*r - p*r**2 + 71769*p*r - 9*r**2 wrt r?
44268*l*p - 2*p - 18
Find the second derivative of -59770206*o**2 + 15092433*o.
-119540412
Find the first derivative of 657*m**2*y + 469*m**2 - m*y + 2*m - 679*y + 32 wrt m.
1314*m*y + 938*m - y + 2
Find the third derivative of 2*g**5 + 2911645*g**4 - 3*g**3 + 2*g**2 + 6*g + 176371 wrt g.
120*g**2 + 69879480*g - 18
Find the second derivative of -6*f*t**2 - 11*f*t - 9*f - 10258953*t**2 + 275069*t wrt t.
-12*f - 20517906
What is the first derivative of 168*j**4 - 170*j**3 + 2*j**2 + 25*j - 3759774 wrt j?
672*j**3 - 510*j**2 + 4*j + 25
What is the second derivative of 14416417*v**2 + 3*v - 68731?
28832834
Find the third derivative of 2*c**6 - 381*c**4 + 1356*c**3 - 477*c**2 + 213*c - 60.
240*c**3 - 9144*c + 8136
What is the third derivative of 1595*v**6 + 571*v**5 + 90*v**2 + 271*v + 3 wrt v?
191400*v**3 + 34260*v**2
What is the third derivative of -17961781*b**5 - 2*b**2 + 5178029*b?
-1077706860*b**2
Find the third derivative of 190978*b**6 + 382*b**5 - 2*b**2 - 3093*b - 71855.
22917360*b**3 + 22920*b**2
What is the derivative of 28040617*j*o - 85962*j + 12 wrt o?
28040617*j
Find the third derivative of 1742396*u**3 - 3504*u**2 + 927*u.
10454376
Find the third derivative of 12270976*k**5 + 10954924*k**2 wrt k.
736258560*k**2
Find the first derivative of 14*c*r - 1892*c - 5493769*r wrt c.
14*r - 1892
What is the third derivative of -8086748*i**4 - 17961191*i**2?
-194081952*i
Differentiate -31394483*l**3 - 34787957 wrt l.
-94183449*l**2
What is the first derivative of -3*g**2*w**3*x - 106774*g*w*x - w**3 + 71*w**2 - 28*w*x - 96 wrt g?
-6*g*w**3*x - 106774*w*x
What is the derivative of 1091181105*x**4*y**2 + 2222*y**2 - 2*y - 6447 wrt x?
4364724420*x**3*y**2
What is the third derivative of 50*s**5 + 139758*s**4 - 52*s**2 + 84164*s wrt s?
3000*s**2 + 3354192*s
Find the first derivative of -647917*m**3*q**3 + 103*m**3*q - 273783800*m**3 wrt q.
-1943751*m**3*q**2 + 103*m**3
What is the third derivative of 42669859*i**2*j**3*s + i**2*j**2 + 54*i**2 - 30*i*j**2*s + 10991*j**2*s wrt j?
256019154*i**2*s
Find the third derivative of 1084680*g**2*s**3 + 80*g**2*s**2 - 4*g**2*s + 990*g**2 + 4*g*s**3 + 2*g*s wrt s.
6508080*g**2 + 24*g
What is the third derivative of -1875*f**4*n - f**4 + 2*f**3*n + 18*f**3 + 43752648*f**2*n wrt f?
-45000*f*n - 24*f + 12*n + 108
What is the first derivative of 1495*g*j**2*x**2 - 103*g*o**2*x**2 - 6*j**2*o**2*x**2 + 2*j**2*o**2 - 5*j**2*o + 48*j*o*x**2 - 25*o**2 wrt g?
1495*j**2*x**2 - 103*o**2*x**2
What is the second derivative of -537*v*z**3 + 165*v*z**2 - 5982*v*z - 2*z**3 + 4*z**2 - 5*z + 165 wrt z?
-3222*v*z + 330*v - 12*z + 8
Find the first derivative of -1384102744*v + 854910311.
-1384102744
Find the second derivative of -17620721*m**2*x**3 + 3*m*x**3 - 1218247*m*x wrt m.
-35241442*x**3
Differentiate -5*y**4 + 2174*y**2 - 224*y + 33836372.
-20*y**3 + 4348*y - 224
What is the t | {
"pile_set_name": "DM Mathematics"
} |
rob of picking 1 l and 1 w when two letters picked without replacement from {l: 3, e: 2, k: 6, w: 1}.
1/22
Four letters picked without replacement from ktajjjknndnajn. What is prob of picking 1 k, 2 j, and 1 t?
12/1001
Three letters picked without replacement from chchccmhmc. Give prob of picking 3 h.
1/120
What is prob of picking 1 k and 1 c when two letters picked without replacement from wccccwcccceccwoek?
5/68
Four letters picked without replacement from kklbllkkklkklllkl. Give prob of picking 1 k and 3 l.
16/85
What is prob of picking 1 k and 2 q when three letters picked without replacement from {q: 11, k: 2}?
5/13
Calculate prob of picking 2 a when two letters picked without replacement from {t: 6, a: 8, r: 1}.
4/15
Four letters picked without replacement from jjgggggjggggjggjgj. What is prob of picking 2 j and 2 g?
11/34
What is prob of picking 1 i and 1 n when two letters picked without replacement from {b: 1, h: 2, i: 1, n: 2}?
2/15
Three letters picked without replacement from {w: 7, o: 4}. What is prob of picking 1 w and 2 o?
14/55
Four letters picked without replacement from {s: 8, m: 1, r: 5, g: 1, x: 2}. Give prob of picking 4 r.
1/476
Three letters picked without replacement from teoetmeoeoom. What is prob of picking 1 e and 2 m?
1/55
What is prob of picking 3 w and 1 v when four letters picked without replacement from wvjwwwwwwwwww?
3/13
Three letters picked without replacement from {u: 3, d: 15, x: 2}. Give prob of picking 3 u.
1/1140
Calculate prob of picking 2 l and 1 a when three letters picked without replacement from aaaaaaaalaalaaal.
39/560
Two letters picked without replacement from {n: 4, h: 6, k: 4, q: 3}. What is prob of picking 1 n and 1 q?
3/34
Calculate prob of picking 1 n and 1 d when two letters picked without replacement from paadpaaapanpa.
1/78
Two letters picked without replacement from oyjoyyyyoo. Give prob of picking 2 o.
2/15
Four letters picked without replacement from {y: 6, i: 4, q: 3}. Give prob of picking 2 q and 2 y.
9/143
Two letters picked without replacement from lsals. Give prob of picking 2 l.
1/10
Two letters picked without replacement from mmrzvzzmmbmbmzpb. What is prob of picking 1 p and 1 r?
1/120
Four letters picked without replacement from {a: 2, w: 2, x: 5, o: 4, m: 1}. Give prob of picking 2 w and 2 o.
6/1001
Four letters picked without replacement from ekkkeaekeekkak. Give prob of picking 3 e and 1 k.
10/143
Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {y: 2, o: 7, l: 3}.
7/33
Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, z: 1}.
1/4
What is prob of picking 4 r when four letters picked without replacement from qrrrqr?
1/15
What is prob of picking 1 x and 1 w when two letters picked without replacement from {x: 2, a: 1, k: 1, w: 2, l: 1}?
4/21
Three letters picked without replacement from gdgdmjmddgg. Give prob of picking 2 d and 1 m.
4/55
Four letters picked without replacement from btutbbbbbbbuubkblbu. Give prob of picking 1 l and 3 u.
1/969
Two letters picked without replacement from {v: 13, s: 6}. Give prob of picking 2 v.
26/57
Four letters picked without replacement from tddnttsnjdddvdssd. Give prob of picking 1 j, 1 n, and 2 t.
3/1190
What is prob of picking 1 m, 1 b, and 2 k when four letters picked without replacement from ememmmmmmbebkkm?
16/1365
Two letters picked without replacement from oyorr. Give prob of picking 1 r and 1 o.
2/5
What is prob of picking 2 n when two letters picked without replacement from {v: 5, r: 2, n: 9}?
3/10
Three letters picked without replacement from osvnyvz. What is prob of picking 1 y, 1 z, and 1 n?
1/35
Calculate prob of picking 1 e, 1 k, and 1 r when three letters picked without replacement from enork.
1/10
Calculate prob of picking 1 e and 1 u when two letters picked without replacement from uuueuuvvuu.
7/45
Calculate prob of picking 1 s, 1 i, and 2 h when four letters picked without replacement from {h: 3, s: 10, i: 1, l: 4}.
1/102
What is prob of picking 2 s when two letters picked without replacement from {c: 1, x: 4, o: 6, s: 6, j: 1}?
5/51
Two letters picked without replacement from {p: 11, e: 1}. Give prob of picking 2 e.
0
Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {f: 4, i: 1, s: 2, d: 1}.
2/7
Three letters picked without replacement from {f: 3, d: 2, w: 1, p: 1}. What is prob of picking 1 p, 1 d, and 1 w?
2/35
Four letters picked without replacement from nmnmnxnmmnmxnnmnn. What is prob of picking 3 n and 1 x?
6/85
Three letters picked without replacement from {i: 8, g: 4, u: 4}. Give prob of picking 1 u and 2 g.
3/70
Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {j: 2, x: 11, b: 2, z: 4}.
110/969
Two letters picked without replacement from tmmtmtrdvummmvmtuu. What is prob of picking 2 u?
1/51
What is prob of picking 1 m and 1 u when two letters picked without replacement from juunmn?
2/15
Three letters picked without replacement from {d: 6, t: 8, w: 1}. What is prob of picking 3 d?
4/91
Two letters picked without replacement from cjczzcjcccjjj. What is prob of picking 1 j and 1 z?
5/39
Calculate prob of picking 1 b and 3 x when four letters picked without replacement from xxbxxbxxbxxxxxxbxxxx.
448/969
Four letters picked without replacement from yymmmcdlldvyd. Give prob of picking 3 y and 1 v.
1/715
Four letters picked without replacement from ttttttccketkctc. Give prob of picking 1 c and 3 t.
32/195
Calculate prob of picking 2 n when two letters picked without replacement from eeneeneeeee.
1/55
Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {n: 4, q: 9, c: 1, l: 1}.
1/105
Calculate prob of picking 1 v, 1 e, 1 f, and 1 i when four letters picked without replacement from {c: 2, e: 1, i: 2, f: 4, v: 6, k: 4}.
4/323
Three letters picked without replacement from ririrwrurrurwir. What is prob of picking 1 w and 2 r?
8/65
What is prob of picking 2 b when two letters picked without replacement from bvwb?
1/6
Three letters picked without replacement from gzzzozwzwzowwzokkjzj. Give prob of picking 1 j, 1 o, and 1 g.
1/190
What is prob of picking 1 n and 1 p when two letters picked without replacement from dpkznkzn?
1/14
What is prob of picking 1 d and 1 r when two letters picked without replacement from rrreedddrrrrrerrrr?
4/17
Calculate prob of picking 4 i when four letters picked without replacement from {a: 3, i: 7, q: 9}.
35/3876
Calculate prob of picking 2 e when two letters picked without replacement from {h: 7, e: 12}.
22/57
What is prob of picking 1 a, 1 i, and 1 c when three letters picked without replacement from {c: 4, u: 1, a: 2, i: 4}?
32/165
Three letters picked without replacement from {n: 3, f: 2}. What is prob of picking 1 n and 2 f?
3/10
Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {f: 1, b: 1, p: 3, a: 3, l: 1, j: 6}.
1/105
Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {m: 7, r: 2, k: 4, b: 6, g: 1}.
14/95
Four letters picked without replacement from {w: 9, y: 7}. What is prob of picking 4 y?
1/52
Three letters picked without replacement from {x: 9}. What is prob of picking 3 x?
1
What is prob of picking 1 b and 1 z when two letters picked without replacement from {z: 1, n: 1, v: 2, b: 1}?
1/10
What is prob of picking 1 m, 1 b, and 1 j when three letters picked without replacement from {h: 1, b: 1, y: 1, m: 1, j: 1}?
1/10
Four letters picked without replacement from {a: 2, q: 10}. Give prob of picking 4 q.
14/33
Two letters picked without replacement from {w: 1, q: 12}. What is prob of picking 1 w and 1 q?
2/13
Calculate prob of picking 1 f and 3 y when four letters picked without replacement from {f: 2, v: 1, y: 2}.
0
Calculate prob of picking 1 w, 1 t, 1 l, and 1 d when four letters picked without replacement from {t: 1, h: 1, w: 1, d: 3, i: 4, l: 4}.
12/1001
Two letters picked without replacement from gaz. What is prob of picking 1 z and 1 g?
1/3
Two letters picked without replacement from ncxep. What is prob of picking 1 p and 1 x?
1/10
Three letters picked without replacement from {y: 1, j: 3, o: 6, q: 4}. Give prob of picking | {
"pile_set_name": "DM Mathematics"
} |
rder.
5, y, i
Let j = -4/9 + -7/45. Let x = 7.9 + -0.9. Let d = -6 + x. Sort j, -3, d.
-3, j, d
Let v = 0.01 - 5.01. Put 9, v, 1/2 in decreasing order.
9, 1/2, v
Let r = 7.81 + 0.19. Let y = r - 8.2. Let t = 4.04 + -0.04. Put t, y, 0.5 in descending order.
t, 0.5, y
Let x be ((9/4)/((-6)/(-16)))/2. Suppose 2*g = t - 4, -5*t = 3*g + 13 + 6. Let v be (-2)/(-9) + 34/9. Sort t, v, x in increasing order.
t, x, v
Let s be 10/(-35) + 190/126 - 1. Let d = -15.8 + 14. Let l = d - -2. Sort l, s, 1 in descending order.
1, s, l
Let a = 8 - 7.8. Let u = -15.4 + 15. Let c = -33 + 135/4. Sort u, c, a in decreasing order.
c, a, u
Suppose 0*a - 2*a = -4. Let f be 1 + 0 + 0 + 2. Suppose 2 = f*o + 5. Sort a, -4, o in increasing order.
-4, o, a
Let i = -13 + 13.09. Let q = i - 0.39. Let w = -0.13 - -5.13. Sort q, w, -0.5 in increasing order.
-0.5, q, w
Let j(s) = s**2 - 2. Let r be j(3). Suppose -3*n + 1 = r. Let z be (-1*n/(-1))/(-2). Sort -5, -3, z.
-5, -3, z
Suppose 0 = 5*c + 4*h + 63, 3*c - 2*h + 34 = 5. Let a = -15 - c. Sort 1, 4, a.
a, 1, 4
Let c = 4 - 8. Let k = -5 - c. Sort 4, k, 0 in increasing order.
k, 0, 4
Let m = -13 - -14. Sort m, -5, 0.03 in descending order.
m, 0.03, -5
Let r = -0.9 + -4.1. Let o = 2/127 - -121/381. Put o, -4, r in increasing order.
r, -4, o
Suppose 5*x = -4*a + 13, 2*a + 4 = -2*x + 5*a. Let q(u) = -u + 2. Let k be q(-4). Let w be (x + k/(-3))*-3. Sort 0, -2, w.
-2, 0, w
Let y be 40/70 - 4/14. Let c = 0 - 0.2. Let i = c - -0.4. Sort y, -2/15, i.
-2/15, i, y
Let z be 2 + -3 + 2*2. Suppose 4 = -z*g - 5. Let f = -0.4 - 4.6. Put 2, g, f in descending order.
2, g, f
Let f be (-38)/(-5) + 16/40. Suppose 0 = -h + n + 7, -3*h = -2*n - f - 9. Sort -2/3, h, -1/6.
-2/3, -1/6, h
Let v = 62 - 61.4. Put v, -0.2, -0.1, -0.3 in decreasing order.
v, -0.1, -0.2, -0.3
Let p = -3 - 2. Let j be (-8)/(-10) + 2/10. Put -0.1, j, p in decreasing order.
j, -0.1, p
Let d be (-1 - 1) + (-4 - -3). Put 2, 0, d, 5 in descending order.
5, 2, 0, d
Suppose -r - 3 = -2*r. Suppose -3*h + 9 = 5*a, -r = -2*h - 3*a + 3. Sort 4, -2, h in decreasing order.
4, h, -2
Suppose -7*u = -3*u + 12. Let c = u - -5. Let g be 2/(2*(-4)/8). Put c, g, 4 in descending order.
4, c, g
Let d = 5 + -5. Let z = 1 + d. Let v be (-12)/(-16)*(-2 + z). Put v, -3/5, -0.3 in descending order.
-0.3, -3/5, v
Suppose -4*a - 2 + 13 = -3*n, 4*a + 3*n - 29 = 0. Suppose 10 = a*m - 3*b - 6, 4*m - 5*b = 18. Suppose 0 = i - 2 - m. Sort -1, 0.1, i in ascending order.
-1, 0.1, i
Let f = 70 + -54. Sort -3, 2/25, f.
-3, 2/25, f
Suppose -53 = -3*s + 1. Let m = s + -14. Put 5, -1, m in decreasing order.
5, m, -1
Let l(d) = -d**2 + 6*d. Let u be l(6). Suppose 3*w = 5*h - 2, -2*h - 5 = -5*w + 17. Suppose 4*z - w = z. Sort 5, u, z in increasing order.
u, z, 5
Let s = 8 + -7. Put 0, s, 4 in descending order.
4, s, 0
Let z(j) = -2*j**2 - 1 + j**2 + 2*j - 4*j. Let q be z(-2). Let s = -269 - -267. Put 3, q, s in ascending order.
s, q, 3
Let s = 0.33 + -0.13. Sort -4/7, -3, s.
-3, -4/7, s
Let y = 3.4 - 3.2. Put y, -1/4, 5 in increasing order.
-1/4, y, 5
Let c(g) = -g**2 - 4*g + 5. Let b be c(-4). Let x be ((1 - -1)*-14)/(-1). Let p be -9*(x/12 + -2). Sort 1, b, p in decreasing order.
b, 1, p
Let u = -10 + 19. Suppose -5*t = -1 - u. Suppose -5*b + 15 = -2*b. Sort b, -3, t.
-3, t, b
Let f be -1 + -1*((-12)/(-4) - 8). Put -2, f, 2, -7 in increasing order.
-7, -2, 2, f
Let w = -0.448 + 0.048. Sort 1, w, 2, -5 in increasing order.
-5, w, 1, 2
Suppose -o - x + 2 = 0, o + 5*x - 13 = -3*o. Let i be (6/18)/(1/(-3)). Let a be 4/(-24)*(o - i). Put 1/2, -4, a in ascending order.
-4, a, 1/2
Let y be (-52)/(-14) + 2/7. Let c = 14 + -15. Put y, -5, c in increasing order.
-5, c, y
Suppose -2*z - 11 = 1. Sort z, 0.2, 2.
z, 0.2, 2
Let v = 1.2 - 0.9. Put v, 7/3, -0.2 in increasing order.
-0.2, v, 7/3
Let j be 1/6*33/22. Suppose 0 = i - l, -3*l - 5 = -i - 7*l. Let u be -4*i/(-30) + 0. Put 0.1, u, j in descending order.
j, u, 0.1
Let p be 30/(-105) + 18/14. Sort 4, -4, p in decreasing order.
4, p, -4
Let i(b) = -4*b - 9. Let x be i(-3). Put 0.2, 0.3, 0, x in decreasing order.
x, 0.3, 0.2, 0
Suppose -5*n - 33 = -2*o, o - 4*o = n - 7. Let i be 2/3*-6*1. Let z be i*4/(48/9). Sort o, 5, z in increasing order.
z, o, 5
Let s = 55/108 + -1/108. Let y = -0.7 - 0.3. Sort -0.06, s, y.
y, -0.06, s
Let s = 29 + -26. Sort -5, s, -2 in descending order.
s, -2, -5
Let a = 0.12 + -0.72. Let c = a + 1.1. Sort 2/7, c, 2.
2/7, c, 2
Let t(x) = x**3 + 7*x**2 + x + 8. Let n be t(-7). Let l be n*-2 + (-80)/(-36). Sort l, -4, -3 in descending order.
l, -3, -4
Let f = 29 - 26. Let r = 4 + -6. Put f, -0.1, r in increasing order.
r, -0.1, f
Suppose u - 21 = -4*c - 1, 2*u + 8 = 4*c. Let o = 4 - u. Suppose o = k - 2*q, -k - 2*q + 20 = 3*k. Sort 3, 2, k in increasing order.
2, 3, k
Suppose 2*s = -2*s + 16. Let p = 14 - 9. Let x = p + -6. Put s, -4, x in ascending order.
-4, x, s
Suppose -3*z + 19 = 22. Put -5, z, -8, 1 in ascending order.
-8, -5, z, 1
Let k(l) = 2*l**2 - l - 1. Let y be k(2). Sort y, -4, 2 in descending order.
y, 2, -4
Let d = 1 - -1. Let f = -30 + 30. Put d, -5, f in descending order.
d, f, -5
Let m(u) = -u**2 + 2*u + 1. Let k be m(2). Let z = 13 + -9. Sort k, -1, z in decreasing order.
z, k, -1
Let k = 23.886 - -0.114. Sort 2, 5/4, k in descending order.
k, 2, 5/4
Let d = -20 - -36. Let r be d/15 + (-4)/10. Sort 0, 1/2, r in decreasing order.
r, 1/2, 0
Let m be 1 - (-2 - 0/(-2)). Let k = 17 - 17. Sort k, m, 4 in increasing order.
k, m, 4
Let o(c) = -c**2 + 3*c + 4. Let h be o(3). Suppose 2*v = 3*v - 2*b - h, -4*b - 12 = -3*v. Sort v, -3, 3.
-3, 3, v
Let w be (2/6)/((-1)/3). Let f(j) be the second derivative of j**5/20 - j**4/2 + j**3/6 - 3*j**2 - j. Let r be f(6). Sort r, 1, w in descending order.
1, r, w
Let c = 1 + 4. Let u(r) = r**3 - 11*r**2 - 14*r + 21. Let z be u(12). Sort 6, c, z.
z, c, 6
Let f(h) be the first derivative of -h**4/4 - 2*h**3/3 + h**2 - h - 6. Let i be f(1). Put 1, -5, i in descending order.
1, i, -5
Let d = -0.03 - -0.13. Let a = 0.12 - 3.11. Let y = a - 0.01. Sort d, y, -0.2 in descending order.
d, -0.2, y
Let v = 34 + -39. Sort 0.03, v, -0.3 in increasing order.
v, -0.3, 0.03
Let j = 14 + -9. Let b(n) be the second derivative of n**4/6 + n**3/3 - n**2 - 3*n. Let v be b(-2). Sort j, -3, v in increasing order.
-3, v, j
Let t = 7 + -6.5. Let r be (3/12)/(1/(-2)). Put t, r, 4 in descending order.
4, t, r
Let h(k) = -k**3 - 5*k**2 - 6*k - 3. Let j be h(-4). Let w be -1 + 9/(-3) - -1. Let b = -2 - -4. Sort j, w, b in decreasing order.
j, b, w
Suppose 22 = 2*v - 4*p, -p = 3*v + 4*p + 22. Put v, 9, -0.1 in decreasing order.
9, v, -0.1
Let f = 107.6 + -108. Sort 4, -1, f, 1/3 in decreasing order.
4, 1/3, f, -1
Let i(s) = -s + 4. Let l be i(15). Let r = l + 16. Suppose -3*a - 4*n - 1 = -0*a, -2*n = -2*a - 10. Put a, 3, r in descending order.
r, 3, a
Let u(p) = -p**3 - p**2 + 8*p + 6. Let l be u(-3). Put l, 3, -2 in decreasing order.
3, l, -2
Let v be 0 - (2 + (0 - 1)). Let w be (-17)/5 + (-2)/(-5). Put v, w, 2 in increasing order.
w, v, 2
Suppose 0*d - d - 4 = 0. Let j be ((-2)/9)/(d/3). Let r = 370/549 + -14/61. Put -1/4, r, j in decreasing order.
r, j, -1/4
Let w(u) = -u**2 + 8*u - 1. Let d be w(8). Let y = -8 - -13. Put d, -4, y in ascending order.
-4, d, y
Let k = -0.5 + -7.5. Let c = 7.5 + k. Suppose 12 = -5*h - 8. Sort c, h, 0 in ascending order.
h, c, 0
Suppose -3*h + 5*g + 7 = 0, -4*g = -4*h - 0*h + 12. Suppose 0 = i + 4*i. Let r = 2 - 1. Sort i, h, r.
i, r, h
Let s be 3/7 - (-54)/(-28). Let r = -50 - -353/7. Sort -0.4, s, r in decreasing order.
r, -0.4, s
Let g = 677/4 + -169. Sort 0, 1, g, 1/7.
0, 1/7, g, 1
Let p be -1*1*(-12)/(-4). Sort p, 2, -4 in descending order.
2, p, -4
Suppose -43 = -5*h - 18. Suppose w + h = -0. Let k be ((-9)/w - 1)/(-1). Sort k, -0.1, -5 in descending order.
-0.1, k, -5
Let j be (-2)/4*48/36. Put j, -4/13, -3 in increasing order.
-3, j, -4/13
Let j = 13 + -8. Suppose -3 = j*g + 2. Put -3, g, 4 in increasing order.
-3, g, 4
Let b = 26 + -207/8. Let q = 0.5 - 1.5. Sort b, q, 0.3 in ascending order.
q, b, 0.3
Suppose -j = j + 8, -5*j = -5*v + 35. Let a = 0.011 + -0.011. Put a, v, -1 in descending order.
v, a, -1
Let q be (-2120)/440 + 2/(-11). Suppose 2*k - 6 = -4. Sort k, q, 4.
q, k, 4
Let c = 0 | {
"pile_set_name": "DM Mathematics"
} |
Let g = 42 - 70. Let w = 30 + g. Which is the closest to 1? (a) -0.1 (b) w (c) 2/7
c
Let f = -257/6 + 43. What is the nearest to 2 in -6, 0, f, 2?
2
Let g = 606 + -601. What is the closest to g in -1, 2/13, 0.1, 0?
2/13
Let i = 4.99 + 0.01. Let f = -68 + 112. Let x = f + -41. What is the closest to 1/3 in x, 0.1, i?
0.1
Let d = -150 + 88. Let t = -61 - d. What is the nearest to t in 1/4, 2/3, -1/2?
2/3
Suppose 3*k = -5*p, -4*p - 15 = -2*k - 37. Let s(i) be the first derivative of i**3/3 - i - 18. Let m be s(0). Which is the closest to m? (a) p (b) 4 (c) 0.1
c
Let s = 78.5 + -78.3. What is the closest to 1 in -0.5, -169, s?
s
Let j = -0.884 - -0.484. What is the nearest to 2/3 in -2/3, -5, 1/4, j?
1/4
Let t(h) be the first derivative of h**3/3 - 3*h**2 + 13. Let v be t(6). Which is the closest to 1? (a) v (b) -0.12 (c) 0.5
c
Let a = -11 - -7. Let g be 5 + (-4 - a - 2). What is the closest to g in 2/7, -0.4, 2?
2
Let l = -209/4 - -617/12. Which is the nearest to 2? (a) 0.1 (b) l (c) 0.3 (d) 3/16
c
Let m = -2 + 7. Let p be 3 - (106/4)/((-51)/(-6)). Let z = -1.6 + 1.5. Which is the nearest to z? (a) m (b) -3 (c) p
c
Let o = 38.9 - 39. What is the closest to -0.1 in o, 5/3, -4?
o
Let d = 2.1 + -0.8. Let v = -1 + d. Let a be (1/(-6))/(1/(-2)). What is the closest to a in v, 2/5, 0.2?
v
Let q = 127/50 + -1/25. Let l = -120 + 120. Which is the closest to l? (a) -0.1 (b) 0.4 (c) q
a
Let i(u) = u**2 - 5*u + 2. Let j be i(5). Let f = -5 - -3.5. Let q = f - -0.5. Which is the closest to q? (a) j (b) 0.4 (c) 1
b
Let t = 0.3 - -4.7. Which is the closest to -1/4? (a) -0.5 (b) t (c) 0.4
a
Let j = 0.06 - 2.06. Let r = -5.1 - -3.1. Which is the nearest to r? (a) 1/2 (b) j (c) -4
b
Let f = 5299/3 - 1766. Which is the closest to f? (a) 0.1 (b) -0.07 (c) -0.1 (d) -4
a
Let v = -0.3 - 3.7. Let p = -14 - 40. Let j = -59 - p. Which is the closest to -1? (a) v (b) j (c) 5
a
Let l = 93/553 - 2/79. Let r = -5 - -5.15. Let z = -4.15 + r. What is the nearest to 2/3 in l, 2, z?
l
Let y = 135 + -132. Let c = y - 2.7. Suppose 5 - 2 = -4*z + x, -5*x = z + 27. What is the closest to z in -0.4, c, 1/3?
-0.4
Let m = 149 + -149.2. Let g = -9 + 6. What is the closest to -1.5 in m, g, 2/7?
m
Suppose 13 = 2*l - 5*n - 5, -20 = 4*l + 4*n. Which is the closest to l? (a) 8 (b) -3 (c) 3
b
Let z be -1*15/5 + (-9)/(-3). Let j = 0.03 - -1.97. Let q = j - 2. Which is the nearest to z? (a) -3 (b) 2 (c) q
c
Let v = 28 - 37. Let k = 30 + -29.9. Which is the nearest to k? (a) v (b) 1 (c) 5
b
Let y = 601 - 600.6. What is the closest to 0 in -2, y, -1/2, 43?
y
Let b = 75 - 74. What is the nearest to -2/5 in -0.1, -22, b?
-0.1
Let s = 0.849 + 0.151. Which is the nearest to -0.2? (a) s (b) 0.3 (c) -2/7 (d) -9
c
Let t = 182 + -182.1. What is the nearest to 1 in t, -10, 0?
0
Suppose 50 = 8*q - 18*q. What is the closest to 4.3 in -0.4, 0.1, q, -0.5?
0.1
Let w = 103.7001 + -0.1001. Let o = -104 + w. What is the closest to o in 2/17, 0.5, -0.2?
-0.2
Let t = -1738 + 1722. What is the closest to -1/6 in 3, t, 0.1?
0.1
Let a = 7 - 13/2. Let k(c) = -8*c + 2. Let d be k(0). Let h be (d - 1)/(6/4 - -2). What is the nearest to h in 4, -5, a?
a
Let u be 1 + (-9)/(-5) + -2. Let y = -128 - -127.9. What is the closest to y in 3, -2/5, u?
-2/5
Let m(i) = -2*i - 1. Let n be m(3). Let k be 21/28 + n/20. Let o = 0.54 + -0.54. Which is the nearest to o? (a) -1 (b) -0.2 (c) k
b
Let o = -3 + 2. Let y = 128 + -638/5. What is the nearest to y in 2, o, 0.5?
0.5
Let d = -1.364 - -0.364. Which is the nearest to -1? (a) 3/5 (b) d (c) 0.065
b
Let y be (-8)/(-7) + 0 + -2. Let s = -182 + 179. Which is the closest to -2? (a) -2/3 (b) s (c) y
b
Let w = -32/5 + 86/15. Let r be (-251)/(-3)*6/(-20). Let p = r + 51/2. What is the closest to w in 4, p, -1?
-1
Let m = -0.223 - -0.123. Which is the nearest to m? (a) 0 (b) -3 (c) -2/7
a
Let x be (-16)/21 - 18/(-42). Which is the nearest to x? (a) 1/6 (b) 2.2 (c) 0
c
Let t = -800 + 1667/2. Let o = 74 + -41. Let z = t - o. Which is the nearest to z? (a) 0.5 (b) -0.3 (c) -3
a
Let l = 371 - 370.9. What is the closest to l in -1/2, -4, 0.4, 4?
0.4
Let w = -50 + 148/3. Let g = 0.38 + 0.02. Let v = 249 - 260. What is the closest to -0.1 in w, v, g?
g
Let l = -0.3 - -2.3. Let x = -4.5 - -4.29. Let u = 3.79 - x. Which is the nearest to 2/3? (a) l (b) -0.4 (c) u
b
Let b = 2 - 6. Let j = -0.44 - -32.44. Let w = -31 + j. What is the nearest to w in b, -0.6, 0.3?
0.3
Let c = -0.79 + 0.59. What is the nearest to 1 in 0, c, 1/3, -2?
1/3
Let d = 268 + -241.8. Let m = d + -26. What is the closest to m in 4, 0.4, 1/4?
1/4
Let r be 12/60*(-6 + 2). Let g = 0.033 + 0.367. Let y(j) = j - 5. Let k be y(7). Which is the nearest to 1? (a) k (b) r (c) g
c
Let s = -1 - -0.9. Suppose -14 = 7*a - 0. What is the closest to a in s, 0.5, 0.6?
s
Suppose s - 3*s + 4*u = -14, 2 = 2*s + 2*u. What is the nearest to 2/3 in -2/7, 4, 0.2, s?
0.2
Let m = 87 - 195. Let l = -538/5 - m. Let k = -131.9 + 132. What is the closest to -1 in -0.5, l, k?
-0.5
Let i = 4.9 - 5. Let h be (-68)/(-255)*-3 + 0 + -1. Which is the closest to -0.1? (a) h (b) -4 (c) i
c
Let i = 2848/15 - 821/5. Suppose -3*l = -3*n - 66, -3*n = 2*l - 1 - 63. Let t = l - i. Which is the nearest to 0? (a) t (b) 0.5 (c) -1
a
Let y = -8.47 - -8.67. What is the closest to y in -5, 0.02, -10?
0.02
Let h = -0.27 + -0.03. Let x(g) = 9*g - 29. Let n be x(3). Which is the closest to 2/3? (a) n (b) h (c) 1
c
Let k(w) = -w**2 + 92*w - 520. Let y be k(6). Which is the nearest to 2/5? (a) 0.5 (b) 4 (c) 7 (d) y
a
Let i be (-6)/8*(-24)/45. Suppose -3*o = -0*o + 408. Let d = -678/5 - o. What is the closest to i in 1, -3/5, d?
d
Let f = 57/4 + -14. Let s be 3*((70/6)/5 + -1). Let r be -4 + (-9)/15 + s. What is the closest to 1 in r, f, 0?
f
Let m = -629 - -628.6. Which is the nearest to 9? (a) m (b) 1/3 (c) 4 (d) -3
c
Let v = -25.8 - -26.8. Let o = -109 - -60. Which is the closest to 1? (a) o (b) -0.3 (c) v
c
Let p = 14 + -9. Let y = p + -8. Which is the closest to 1? (a) y (b) -1 (c) -0.1
c
Let q be 2*((-7)/(-2) + -3). Which is the nearest to q? (a) 0.3 (b) 1 (c) 30
b
Let o = -0.19 + 0.07. Let y = 0.28 - o. Which is the nearest to 0.1? (a) y (b) 0.05 (c) 0.1
c
Let p be (-10)/(-55) - (-7)/22. Suppose 4*a = -4*u + 3*a - 7, -5*a + 5 = 0. Let y = -68 + 69. What is the nearest to y in p, u, -0.1?
p
Let n = 0 - -27. Let q = n + -27.4. Let z = 25/33 - 1/11. What is the nearest to z in 1/2, q, 2?
1/2
Let l = 2 - 21. Let i = 16 + l. Let k be 3 - (i/(-4) - -2). Which is the closest to 2/5? (a) k (b) -1/9 (c) -2/17
a
Let c = 71 + -70.71. Let m = c + 0.71. Let a = -2 + m. What is the nearest to 0 in a, -5/4, -1/8?
-1/8
Let t = 11/25 + -247/675. Let u = 19/108 + t. Which is the closest to -3? (a) -2/3 (b) -4 (c) u
b
Let x be -15*(4/18)/(14/21). Let q be ((-12)/16)/((-1)/4). Let m be ((-1)/(-1) - q) + 1. Which is the closest to -2/9? (a) x (b) -2/15 (c) m
b
Let l = -235 - -224. What is the nearest to -1 in -0.4, l, -1, 1?
-1
Let d = -75 + 74. Let v = 0.2 - 0.16. What is the nearest to d in v, 0, -0.1?
-0.1
Suppose 0 = -3*v, -z = 2*z - 5*v - 54. Let i = z + -128/7. Which is the nearest to i? (a) -0.04 (b) 1 (c) -4
a
Let p be (2/(-21))/(7/(-126)*4). What is the nearest to 1 in p, 6, 2, -0.6?
p
Suppose -11*a + 24 = -17*a. Let x = 0.02 + -4.02. Let w = 4.2 + x. What is the closest to -1 in a, 2/3, w?
w
Let z = -138 - -68. Let n = z + 69.94. Let r = 125/4 - 31. Which is the nearest to r? (a) n (b) -1/2 (c) 2
a
Let n = 0 - 0.3. Let s = 718 - 720. What is the nearest to -0.1 in 3, s, n?
n
Let o be 60/90*(-6)/10. What is the nearest to -44 in -0.5, o, -1?
-1
Let z = -1122.1 + 1122. Which is the closest to z? (a) -0.1 (b) 3 (c) 2/21 (d) -3
a
Let u = 0.2 + -0.3. Let m = -0.0528 - -0.2528. What is the closest to 2/17 in -2, m, u?
m
Let r = 0.586 + 0.034. Let p = r - 0.22. Let w = -1 + 1.1. Which is the closest to w? (a) p (b) -4 (c) 1
a
Let b be 102/156 - 1/2. Let m be -3 - -2 - (1 - 0). Let s = -6 - m. What is the nearest to -0.1 in b, s, -2?
b
Let i = 119.3 - 119.2. Which is the nearest to -0.4? (a) 3 (b) 4 (c) i (d) 0.07
d
Let n be (-5)/(-25) + 536/20. Let k be (-10)/(-20) - | {
"pile_set_name": "DM Mathematics"
} |
o - 3*o + 98. Is o a composite number?
True
Let k be 24/(-14) + (-10)/35. Let s = 0 + k. Is 2/(368/182 + s) a composite number?
True
Let l(n) = 2*n**2 + 8*n - 4. Let t be l(-10). Suppose -5*f - 102 = -2*a + 54, 4*f - 91 = -a. Let x = t - a. Is x composite?
True
Let r(v) be the third derivative of 0 - 4*v**2 + 1/2*v**3 + 1/8*v**4 + 2/5*v**5 + 0*v. Is r(-2) composite?
True
Let q be (-28)/(-21)*(-1 - 122). Let w = 304 + q. Let a = 198 - w. Is a a prime number?
False
Suppose -3*q + 5*f = -3233 + 379, 1901 = 2*q - 5*f. Is q prime?
True
Is (-1)/((-148)/(-149) - 1) prime?
True
Suppose 3*l + 2 = -7. Is (l - -35) + -3 - -2 a prime number?
True
Is ((-4 - 4) + 2)*(-331)/2 composite?
True
Suppose 0 = -d + 2*x + 28, d + 3*x = 2*d - 25. Is d a composite number?
True
Let n(u) = -9*u**2 - 7*u - 3*u - 1 + 4 + 0*u - u**3. Is n(-10) composite?
True
Let z(b) = 218*b - 9. Is z(2) composite?
True
Is (89/2)/((-4)/(-8)) a composite number?
False
Let k = -27 - -6. Suppose 3*f + 5*v - 155 = f, -5*f - 5*v = -365. Let u = k + f. Is u prime?
False
Let r(h) = h + 7. Let k be r(-5). Suppose 5*t + 9 - 25 = 2*p, 2*t + 2*p = 12. Suppose 4*j - t*z - 512 = 0, k*z - 3*z = 1. Is j prime?
True
Let s(q) = q**3 + 14*q**2 + 9*q + 13. Is s(-13) a composite number?
True
Suppose 0*g + 26 = g. Is 3 + (g*3 - 4) composite?
True
Let v(g) be the first derivative of g**4 - g**3/3 + 4*g**2 - g - 6. Is v(4) composite?
False
Suppose -2*b = 5*o - 18944, 2*o - 7*o - 37888 = -4*b. Is b/112 + 6/14 a composite number?
True
Let q(a) = 5*a**2 - 3*a - 15. Suppose -3*g - 16 = c, 5*g + c + 36 = 6. Is q(g) prime?
True
Suppose -83 = 4*c - 3603. Suppose 0 = 4*i + 4*y - c, 2*i + 5*y - 223 = 211. Suppose 5*w = 3*w + i. Is w a composite number?
True
Let g = 1559 - 1038. Is g prime?
True
Suppose -9*c = -6*c. Let m(j) = -j**2 + 83. Is m(c) composite?
False
Suppose x - 2*l - 987 = 0, -4*x + 5*l = -x - 2957. Is x a prime number?
False
Let b(h) = -h**3. Let i(r) = r**3 + 7*r**2 - 11*r + 7. Let y(p) = -2*b(p) - i(p). Is y(8) a prime number?
False
Let y(s) = -3638*s + 9. Is y(-1) a composite number?
True
Let z(g) = -9*g**2 - 4*g + 6. Let b(l) = 2*l - 2. Let m be b(-2). Let r be z(m). Is (r/(-3))/2 + -2 a composite number?
False
Let g = 174 - 310. Let l = g - -213. Is l prime?
False
Is (-4 + 26/6)*669 a prime number?
True
Let k = 3 + -1. Suppose 5*g = k*j + g - 90, -4*g - 55 = -j. Is j prime?
False
Suppose -13*o + 11694 = -7*o. Is o prime?
True
Suppose -3*m + 348 = 3*c, 2*c + 3*c - 132 = -m. Let y = m + -53. Is y prime?
True
Let a be 5 + 2 + 4/(-2). Let y(u) be the first derivative of 2*u**3/3 + 2*u**2 + 7*u - 1. Is y(a) a prime number?
False
Is 16/24 - 142/(-6)*17 prime?
False
Let j = 284 - -871. Suppose 5*h - 185 - j = 0. Suppose 3*l + l = h. Is l prime?
True
Suppose -10*q + 3122 = -3*q. Is q a prime number?
False
Is 4*(-12)/(-16) + 12 composite?
True
Suppose -4*i = -4*m - 16, 2*i - 13 = m - 2. Suppose 22 = 3*t + i. Suppose -t*n + 277 = 92. Is n composite?
False
Suppose -234 = -2*f + 142. Suppose 2*u - 6*u + f = 0. Let z = u + 6. Is z a composite number?
False
Let p = 76 - 0. Is (p/(-4))/(1/(-2)) composite?
True
Let c = -5 + 10. Suppose -3*f - 168 = -3*g, 118 = 2*g + c*f + 13. Suppose 0*v + g = 5*v - 4*p, -5 = p. Is v a prime number?
True
Is (267/6)/((-2)/(-4)) a composite number?
False
Let j(s) = 140*s - 5. Is j(5) a prime number?
False
Is (-13)/(3/(-534)*2) a prime number?
False
Let v be (-4 - -3) + (-2 - -5). Is (0 - v)*76/(-8) a prime number?
True
Let i = 4 + -4. Suppose -3*z + 360 = 5*a, i = -5*z + z - 4*a + 472. Is z a composite number?
True
Suppose -2748 = -h - 5*r, 5*r - 3958 = -3*h + 4276. Is h a prime number?
False
Let y(c) = 12*c - 1. Let w(h) = 3*h**3 + h**2 - h. Let z be w(1). Suppose 0 = 5*j - 4*p - z, 18 = 2*j - 3*p + 7*p. Is y(j) a composite number?
True
Suppose y = 4*r - 102, -3*r - 4*y - 13 = -99. Is r a composite number?
True
Suppose 3*a + 3*n + 2*n - 324 = 0, 0 = 3*n. Suppose -42 + a = 2*s. Is s composite?
True
Let d(q) = -q**3 - 4*q**2 - 8*q - 4. Is d(-7) prime?
True
Suppose 5*m - g - 15 = 4*g, -2*m + 9 = -5*g. Suppose -m*u + 86 = -0*u. Is u a composite number?
False
Let n(z) = -70*z - 5. Is n(-1) a prime number?
False
Let h(f) = 251*f**3 + f**2 - 1. Suppose -4*k + 14 = -2*o, -k = 2*k - 12. Is h(o) a composite number?
False
Let l = -11 + -197. Let k = l - -399. Is k composite?
False
Let p be (-13)/(-2) - (-9)/(-6). Suppose 0 = -p*l, -64 = 3*n + 4*l - 229. Is n a composite number?
True
Suppose 3*s - u - 1208 = 0, -u - 426 = -s + 4*u. Is s prime?
True
Suppose 4*z = 2*v + z - 111, 4*z + 108 = 2*v. Let j be (-3)/((-4)/(v/9)). Suppose 4*y + 7 = j*y. Is y a composite number?
False
Let m(w) = 166*w**2 - 3*w - 3. Let q be m(-2). Suppose -c + 0*c = -q. Is c composite?
True
Suppose x = l - 2*x - 518, l - 519 = 2*x. Is l prime?
True
Let c = -5 - -4. Is (-2 + (c - -2))*-55 prime?
False
Suppose h - 46 = 12. Is h prime?
False
Let n be ((-24)/3 + 3)*-1. Suppose -5*b = -0*b + n*a - 585, -b - 3*a = -109. Is b prime?
False
Suppose s = -0*s + 2. Suppose 5*c = s*c + 489. Is c a composite number?
False
Is (-85595)/(-20) - ((-6)/(-8) - 0) composite?
True
Let y(d) = 2*d + 1. Let i be y(1). Let t be (-1)/i + (-632)/(-6). Suppose 0 = -6*h + h + t. Is h a prime number?
False
Let n = -57 + 383. Is n composite?
True
Suppose 0 = -0*s - s - 8. Let n(w) = -w**3 - 3*w**2 + 2*w - 11. Is n(s) composite?
False
Suppose -4*h + 2*c = 3 + 9, 5*h + 4*c = -2. Is h/(-7) - 160/(-28) composite?
True
Suppose -4*a = -10 + 2. Suppose -a*g - 27 = 3*i - 89, 2*g - 5*i - 94 = 0. Is g composite?
False
Let q(r) be the second derivative of 1/20*r**5 + 3*r - 2/3*r**3 - 1/2*r**2 + 0 + 7/12*r**4. Is q(-5) prime?
False
Let c = 1154 - 567. Is c composite?
False
Suppose 70 = i + 4*i. Is i prime?
False
Suppose -3*k + 984 = 4*z - z, -2*z - 1661 = -5*k. Is k prime?
True
Let r = -25 + 43. Let s(f) = 2*f**3 + 4*f**2 + 4*f - 1. Let v be s(-4). Is (-2038)/(-18) + r/v a composite number?
False
Let j(r) = 288*r**3 - r**2. Let k = -18 - -19. Is j(k) composite?
True
Let b be -1 - 2*15/(-3). Let l(d) = -d**3 + 8*d**2 + 13*d - 1. Is l(b) a prime number?
False
Suppose 2*f + 3*f - 2*y - 3165 = 0, 0 = -3*f - 2*y + 1883. Is f a composite number?
False
Suppose a + 2*y = 220, 3*a + 5*y = 12 + 643. Suppose 0*z - a = 5*s - z, -4*s + z = 168. Is (-135)/(-7) - (-12)/s prime?
True
Suppose d = 3*b - 4*d - 1325, b + 4*d = 453. Is b a prime number?
False
Suppose 5*o - 36 = 44. Let r(a) = a**2 - 11*a + 5. Is r(o) a prime number?
False
Let f = 6 + -5. Let u(x) be the third derivative of 3*x**6/10 + x**5/30 - x**4/24 - x**2. Is u(f) a prime number?
True
Is (-3)/(-7) - (-11628)/63 composite?
True
Suppose -10991 + 29031 = 5*d - 5*o, 0 = 2*d + 5*o - 7209. Is d a composite number?
False
Let y(q) = q**3 + 4*q**2 - 6*q + 5. Let t(k) = k**2 + 7*k + 1. Let c be t(-6). Is y(c) prime?
False
Suppose -118 = -4*d + 22. Is d a prime number?
False
Let a be (4 - 2) + 2 - 1. Suppose -3249 + 786 = -a*m. Is m a prime number?
True
Let g(r) = r**3 - 5*r**2 + 2*r + 7. Let f be g(5). Suppose 4*v + 1 = f. Suppose -4*s + v*z = -0*s - 320, 2*s = -2*z + 148. Is s composite?
True
Suppose 5*f = 3*f - 20. Let o be f/(1/((-3)/6)). Let v(d) = 17*d - 6. Is v(o) a prime number?
True
Suppose 0*r + 4*r = -t - 19, 2*r + 5*t = -23. Let u = 5 + r. Is 39 + 2*(-2 + u) composite?
False
Let t(g) = g**3 - 12*g**2 + 8*g - 16. Suppose -2*r = 3*r - 65. Is t(r) a prime number?
True
Let k(n) be the third derivative of -11*n**5/120 - n**4/12 - n**3/6 - 2*n**2. Let i(r) be the first derivative of k(r). Is i(-5) a prime number?
True
Let z be 19 + -1 + 3/(-1). Suppose -6*r = -r - z. Suppose -r*n = -8*n + 110. Is n composite?
True
Let s(p) = -p**3 - p**2 + p + 5. Let r be s(0). Suppose 5*z = w - 5*w + 21, -z + 21 = r*w. Is -1*-2*z + 5 a composite number?
False
Suppose -2*l + 7*l - 980 = 5*i, 0 = -5*l - 5*i + 1020. Suppose 4*k - 242 = -k - 3*g, -4*g = -4*k + l. Is k composite?
True
Let v = 2329 + -1483. Suppose 3*g + 0*g = -a + 644, -4*g = -5*a - v. Is g prime?
False
Let h(l) = 9*l**3 - 11*l**2 + 9*l - 2. Is h(7) a prime number?
True
Let o = -154 - -1469. Is o a prime number?
False
Suppose 3*u - 6890 = 3409. Is u a composite number?
False
Suppose -a = -4*q - 10 - 8, 5*a + 3*q + 2 = 0. Let b(v) = 3*v**3 - 2*v**3 - 2*v**2 + 3*v + 1 + 7* | {
"pile_set_name": "DM Mathematics"
} |
place.
162
Round 3555512 to the nearest one thousand.
3556000
Round -20888.7849 to the nearest ten.
-20890
What is -79.204477 rounded to one decimal place?
-79.2
Round 347.6707623 to 1 decimal place.
347.7
Round -0.0017030878 to seven decimal places.
-0.0017031
What is 0.00001292141636 rounded to 7 dps?
0.0000129
What is -0.3175768071 rounded to 1 decimal place?
-0.3
Round -647.58679 to one dp.
-647.6
What is -16031.59016 rounded to 0 decimal places?
-16032
Round 0.00143996 to four decimal places.
0.0014
Round 97.187853 to the nearest integer.
97
What is -0.00048528577 rounded to four decimal places?
-0.0005
Round -0.59623718 to one dp.
-0.6
What is -113997570 rounded to the nearest one million?
-114000000
What is -0.604283329 rounded to two decimal places?
-0.6
Round -827697788.1 to the nearest ten thousand.
-827700000
Round 105324.60526 to the nearest 10000.
110000
What is 1263183.285 rounded to the nearest 10?
1263180
What is 0.00243562743 rounded to six decimal places?
0.002436
What is -2225948.54 rounded to the nearest 100?
-2225900
What is -3316960450 rounded to the nearest one million?
-3317000000
Round -23669.7018 to the nearest 10.
-23670
Round -87016195 to the nearest 100000.
-87000000
What is 84.189097 rounded to zero decimal places?
84
Round 0.00288714343 to 6 decimal places.
0.002887
What is -3583028.115 rounded to the nearest one hundred thousand?
-3600000
What is -55372799.1 rounded to the nearest one million?
-55000000
Round 0.00400986836 to five dps.
0.00401
What is 4443197.249 rounded to the nearest 100?
4443200
Round 0.0574226439 to 2 decimal places.
0.06
Round 0.000144418116 to seven decimal places.
0.0001444
Round -168937993 to the nearest 10000.
-168940000
What is -33.192695 rounded to the nearest 10?
-30
What is -114.2122249 rounded to 2 decimal places?
-114.21
Round 0.000031143512 to 5 decimal places.
0.00003
Round 0.381556614 to three dps.
0.382
Round -829351860 to the nearest 100000.
-829400000
What is 0.0000048472259 rounded to six dps?
0.000005
What is -3.9600445 rounded to the nearest integer?
-4
What is 6.44131023 rounded to three decimal places?
6.441
What is 165440684 rounded to the nearest one million?
165000000
What is -0.0003268734524 rounded to five dps?
-0.00033
Round 341.8776 to the nearest 100.
300
What is 2029474.766 rounded to the nearest one thousand?
2029000
What is -0.000028958238 rounded to seven decimal places?
-0.000029
What is 4065.29745 rounded to the nearest 10?
4070
Round 0.00004296897613 to five decimal places.
0.00004
What is -9006321800 rounded to the nearest one million?
-9006000000
Round -1942412.7441 to the nearest one hundred.
-1942400
What is -15709.743 rounded to zero decimal places?
-15710
Round -1574.838572 to 2 dps.
-1574.84
What is -104965518.7 rounded to the nearest one hundred thousand?
-105000000
Round -8756698 to the nearest ten thousand.
-8760000
Round 1270.27253 to one dp.
1270.3
What is -1291911788.9 rounded to the nearest one million?
-1292000000
What is -6635611620 rounded to the nearest 100000?
-6635600000
Round -2558.492078 to 0 decimal places.
-2558
Round -0.0689951572 to 4 dps.
-0.069
What is 0.0210159662 rounded to 2 dps?
0.02
What is -2060532729.6 rounded to the nearest 1000000?
-2061000000
What is -6915.320038 rounded to the nearest integer?
-6915
What is -779239.6003 rounded to the nearest 100?
-779200
Round -458176.56 to the nearest ten thousand.
-460000
Round -869279.2 to the nearest 10000.
-870000
Round 545519.476 to the nearest 10000.
550000
What is 0.03640401058 rounded to six dps?
0.036404
What is -687282740 rounded to the nearest 100000?
-687300000
Round -10.08810977 to the nearest integer.
-10
What is -13352832 rounded to the nearest one hundred thousand?
-13400000
Round 0.0005787249354 to 4 decimal places.
0.0006
Round -554.996615 to 1 dp.
-555
Round -0.041646909 to 2 decimal places.
-0.04
Round 3100872.68 to the nearest one thousand.
3101000
Round 2.8608673 to one dp.
2.9
What is 0.00092232995 rounded to six decimal places?
0.000922
Round -500879610 to the nearest one million.
-501000000
Round -8154529.28 to the nearest ten thousand.
-8150000
What is 0.0000078128775 rounded to 7 decimal places?
0.0000078
What is 0.0404758992 rounded to 2 dps?
0.04
Round -0.07025585662 to five dps.
-0.07026
What is -418986.79 rounded to the nearest ten thousand?
-420000
What is -0.00000207344925 rounded to 7 dps?
-0.0000021
What is -2775456.39 rounded to the nearest 10000?
-2780000
Round -335371.99 to the nearest ten thousand.
-340000
Round -0.000111857988 to five dps.
-0.00011
What is -32944.5791 rounded to zero decimal places?
-32945
Round -2.39240762 to 2 decimal places.
-2.39
Round 139056.83 to the nearest 10000.
140000
What is 3576.541608 rounded to the nearest integer?
3577
What is 4677.200992 rounded to zero decimal places?
4677
Round -17898006180 to the nearest 1000000.
-17898000000
What is 1815.87236 rounded to the nearest integer?
1816
What is 0.00000026052929 rounded to 7 decimal places?
0.0000003
Round 413424934 to the nearest 10000.
413420000
What is 5310544731 rounded to the nearest one million?
5311000000
What is 320897.41 rounded to the nearest 10000?
320000
Round -0.00064228195 to four dps.
-0.0006
Round 1917411932 to the nearest one hundred thousand.
1917400000
What is 83456318 rounded to the nearest 1000000?
83000000
What is 0.68639456 rounded to four dps?
0.6864
Round 674962.691 to the nearest ten thousand.
670000
Round -0.2475046671 to 2 dps.
-0.25
What is 2076.266908 rounded to one dp?
2076.3
Round 29638183.154 to the nearest 10000.
29640000
Round 82.8654376 to 3 dps.
82.865
What is -2185.75881 rounded to 0 decimal places?
-2186
What is -86348.5425 rounded to 0 decimal places?
-86349
Round 82.7703519 to the nearest integer.
83
Round -0.0041533553 to 2 decimal places.
0
What is 0.0010014868 rounded to 2 decimal places?
0
Round 0.0248392269 to two dps.
0.02
Round -394258910 to the nearest one million.
-394000000
What is 958.316506 rounded to the nearest one hundred?
1000
Round 0.0000016729733 to 6 decimal places.
0.000002
What is -9699616.16 rounded to the nearest 100?
-9699600
Round 1350.640986 to the nearest ten.
1350
Round -0.566267851 to 4 decimal places.
-0.5663
What is -24.01499425 rounded to one dp?
-24
What is -0.6263410864 rounded to one decimal place?
-0.6
Round 251.391405 to two dps.
251.39
What is -0.00169112918 rounded to six decimal places?
-0.001691
What is -0.00000300230079 rounded to seven decimal places?
-0.000003
Round -0.000451655577 to five dps.
-0.00045
What is -161.25868379 rounded to 3 dps?
-161.259
Round 0.087729162 to four decimal places.
0.0877
What is 434705047.7 rounded to the nearest one hundred thousand?
434700000
Round 477.01828 to 1 dp.
477
Round 2.94543047 to 3 decimal places.
2.945
What is -275851632 rounded to the nearest one million?
-276000000
Round 138910.878 to the nearest 100.
138900
What is 35836.77726 rounded to the nearest one thousand?
36000
Round 0.000000300504141 to 7 dps.
0.0000003
What is -533.732652 rounded to the nearest integer?
-534
What is -0.016678127 rounded to six dps?
-0.016678
Round -5897259.5 to the nearest 1000000.
-6000000
Round 129328896 to the nearest one hundred thousand.
129300000
Round -110.4948133 to the nearest ten.
-110
Round -1780847500 to the nearest one million.
-1781000000
What is -1.24606913 rounded to three dps?
-1.246
Round -0.00456077082 to 4 decimal places.
-0.0046
Round -3743.3737 to the nearest 100.
-3700
What is -14759770.4 rounded to the nearest one thousand?
-14760000
Round 0.138073664 to 4 dps.
0.1381
Round 3.0091438 to one dp.
3
Round -731154.36 to the nearest 10000.
-730000
What is -0.0000034493263 rounded to 6 dps?
-0.000003
Round -0.0092017052 to 3 decimal places.
-0.009
Round 0.11169 to one decimal place.
0.1
What is -1928447.853 rounded to the nearest one thousand?
-1928000
Round 0.09926027648 to 6 dps.
0.09926
What is 18.013360109 rounded to the nearest integer?
18
What is -0.252906457 rounded to 2 dps?
-0.25
What is 0.0000203015165 rounded to seven dps?
0.0000203
Round -26662027.5 to the nearest 1000000.
-27000000
Round 0.001630878902 to six decimal places.
0.001631
Round -3509.0333 to 0 decimal places.
-3509
What is -0.00430288714 rounded to five dps?
-0. | {
"pile_set_name": "DM Mathematics"
} |
+ 61 for w.
9
Solve 77*a = 386*a + 4326 for a.
-14
Solve -4431 = -1373*b + 3807 for b.
6
Solve 247*i - 195*i = 936 for i.
18
Solve -71*u = 16*u + 1131 for u.
-13
Solve 40375 = 58*l + 40085 for l.
5
Solve -1471*b - 686*b = -71181 for b.
33
Solve 15243 = 55*z + 15903 for z.
-12
Solve -320 = 417*r - 231*r - 206*r for r.
16
Solve -7*m - 20*m - 837 = 0 for m.
-31
Solve 0 = -51*c + 159 - 6 for c.
3
Solve 241*u - 2802 - 3434 = 1235 for u.
31
Solve 324 = -684*i + 939 + 753 for i.
2
Solve -8*t - 51*t = 779 + 224 for t.
-17
Solve 11 = -3*o + 27 - 13 for o.
1
Solve -21*i + 0*i = 866 - 908 for i.
2
Solve 187*x + 3731 + 2440 = 0 for x.
-33
Solve 0 = 20*y + 139 - 279 for y.
7
Solve -52*h + 9603 = 84*h + 7699 for h.
14
Solve 74*m + 371 = 18*m - 189 for m.
-10
Solve 4*n + 13038 = 13082 for n.
11
Solve -25*j - 262 = -37 for j.
-9
Solve -1069*v - 274*v = -48348 for v.
36
Solve 5*t + 200*t = 2255 for t.
11
Solve 169 = 38*b + 891 for b.
-19
Solve 72*k = -41*k + 30*k - 1577 for k.
-19
Solve 47*w + 200 + 740 = 470 for w.
-10
Solve -2 + 4 = 48*g + 2 for g.
0
Solve 663*a = 569*a - 752 for a.
-8
Solve 16*v - 82 = 42 - 92 for v.
2
Solve 0 = 75*g - 8531 + 9431 for g.
-12
Solve 4380 = 6*z + 18*z + 5196 for z.
-34
Solve -163 = 242*y + 1531 for y.
-7
Solve -63*j + 150 = 528 for j.
-6
Solve -12*i = -10*i - 8 - 16 for i.
12
Solve -522*l + 128*l = -3940 for l.
10
Solve -14*q = 16*q + 115 - 25 for q.
-3
Solve -91*i - 27756 = -29849 for i.
23
Solve -69*t = 208 - 493 + 2286 for t.
-29
Solve -19*o + 4955 - 4708 = 0 for o.
13
Solve 170*n - 229*n + 472 = 0 for n.
8
Solve 1256*y - 1257*y = 33 for y.
-33
Solve 221*v + 857 = -27 for v.
-4
Solve 44 = 38*t - 10*t - 292 for t.
12
Solve 3*c + 2591 = 2549 for c.
-14
Solve -57*y - 708 = -3*y + 5*y for y.
-12
Solve -43 = -36*v + 12*v + 101 for v.
6
Solve 189*v - 35*v + 1694 = 0 for v.
-11
Solve 16*a - 23*a + 245 = 28*a for a.
7
Solve -8 = 67*h - 21*h + 1050 for h.
-23
Solve -26082 = 10*r - 26112 for r.
3
Solve -290*b + 306*b = 0 for b.
0
Solve -602*y + 32 = -606*y - 4 for y.
-9
Solve -z - 100*z = 79 + 931 for z.
-10
Solve 18*r + 96 = 26*r - 16*r for r.
-12
Solve 114*i + 7173 - 10023 = 0 for i.
25
Solve -239 + 139 = -20*d for d.
5
Solve 128*v - 124 + 36 = 936 for v.
8
Solve 147279 - 146847 = -36*m for m.
-12
Solve -163*p - 174 - 152 = 0 for p.
-2
Solve 0 = -154*a - 333 - 167 - 886 for a.
-9
Solve -438 = -117*c - 1257 for c.
-7
Solve -42*n - 667 = 78*n - 187 for n.
-4
Solve 1328*k = -31827 - 5357 for k.
-28
Solve 1550 + 230 + 167 = 59*l for l.
33
Solve 0 = -18012*a + 17971*a + 1312 for a.
32
Solve -425*y - 259*y - 4368 - 3840 = 0 for y.
-12
Solve 33*v - 2180 + 2279 = 0 for v.
-3
Solve 17*w = 6*w - 33 for w.
-3
Solve -31*r + 65*r + 2180 = -75*r for r.
-20
Solve 39*z + 19 = -15*z - 35 for z.
-1
Solve 737*s - 192*s - 15260 = 0 for s.
28
Solve 83*i + 2364 + 1542 = -103*i for i.
-21
Solve -1095 + 416 = 137*b + 1102 for b.
-13
Solve -4106*i + 4197*i - 2912 = 0 for i.
32
Solve -7*n = -13*n - 24 for n.
-4
Solve -19*f - 53 + 243 = 0 for f.
10
Solve -10*q - 38 = -108 for q.
7
Solve -73*d - 637 = -53 for d.
-8
Solve 11*b + 0*b + 42 = 4*b for b.
-6
Solve 530*b = 581*b - 204 for b.
4
Solve -116 - 34 - 174 = 36*k for k.
-9
Solve 0 + 0 = 28*w - 23*w for w.
0
Solve 1491*w - 306 = 1508*w for w.
-18
Solve 14*c - 7*c = -20 + 13 for c.
-1
Solve -25996*j - 216 = -26008*j for j.
18
Solve 13182*p - 13190*p - 128 = 0 for p.
-16
Solve 410 - 647 = 69*g + 453 for g.
-10
Solve -4*m = -40 + 85 - 25 for m.
-5
Solve 1259 = -104*r + 7*r - 681 for r.
-20
Solve -38*j - 3746 = -3784 for j.
1
Solve 6*i - 10 - 4 = 16 for i.
5
Solve 36*m + 94*m - 977 = -1757 for m.
-6
Solve -19328 = 15*o - 19598 for o.
18
Solve -696*k + 373*k = 807*k - 1130 for k.
1
Solve -y + 36*y = 420 - 35 for y.
11
Solve 168 = -206*f + 580 for f.
2
Solve 51*f = 139 + 97 + 70 for f.
6
Solve -240*u + 125*u = -77*u + 798 for u.
-21
Solve 436*m = -2651 - 9993 for m.
-29
Solve 141 = 117*p + 226 - 787 for p.
6
Solve 45*u - 24 = 43*u for u.
12
Solve -76*c = -40*c + 42*c - 1794 for c.
23
Solve 62*v - 21 + 245 = 54*v for v.
-28
Solve 0 = 480*v - 679*v + 3781 for v.
19
Solve -14*k - 3*k = 24*k - 533 for k.
13
Solve 423 = -44*w - 262 - 415 for w.
-25
Solve 221*n = -104*n - 40 + 1015 for n.
3
Solve 0 = 395*r - 414*r + 133 for r.
7
Solve -23*s = -126 - 81 for s.
9
Solve -8*d + 1575 = -65*d - 48*d for d.
-15
Solve -67*q - 630 = 45*q - 49*q for q.
-10
Solve 0 = -641*q + 656*q + 225 for q.
-15
Solve -17565 + 17469 = 32*o for o.
-3
Solve 5*r + 6*r + 238 - 18 = 0 for r.
-20
Solve 2612 = 175*u - 888 for u.
20
Solve 640 + 838 - 1667 = 27*z for z.
-7
Solve -2781 - 627 = -213*z for z.
16
Solve 147892*k + 506 = 147915*k for k.
22
Solve 0 = 108*f - 313 + 205 for f.
1
Solve -61*i = -66*i + 10 for i.
2
Solve 0 = 5*c + c + 61 + 29 for c.
-15
Solve 0 = -341*k + 440*k - 2871 for k.
29
Solve 425 = 37*w + 114 - 96 for w.
11
Solve -445*c - 9253 = 24*c + 18*c for c.
-19
Solve -54937*j = -54882*j + 1045 for j.
-19
Solve -12142 = -12*n - 12250 for n.
-9
Solve 20698*o + 651 = 20605*o for o.
-7
Solve -2*a + 1022*a - 38760 = 0 for a.
38
Solve 0 = -1304*f + 1353*f + 539 for f.
-11
Solve -97 - 70 = 28*n + 29 for n.
-7
Solve 568 = -112*f - 30*f for f.
-4
Solve 32*h + 11*h - 126 = h for h.
3
Solve -297 = -338*q + 392 + 1001 for q.
5
Solve 431*q - 949 + 1301 = 3369 for q.
7
Solve -26282*j = -26310*j + 84 for j.
3
Solve -58*p = -69*p + 1 + 21 for p.
2
Solve 1 - 36 = 9*w - 17 for w.
-2
Solve -700*h + 676*h = -192 for h.
8
Solve -45*u + 638 + 70 = -102 for u.
18
Solve 1896 = 368*a + 106*a for a.
4
Solve -221*h + 1547 + 884 = 0 for h.
11
Solve 29*w - 31*w - 5 = 3 for w.
-4
Solve 4*i + 93 = 41 + 16 for i.
-9
Solve -312 = -61*u + 536 - 1336 for u.
-8
Solve 0 = -17*m + 116*m - 792 for m.
8
Solve 47*m - 98 - 7 - 130 = 0 for m.
5
Solve 0 = -3*s - 3*s - 8*s - 112 for s.
-8
Solve 7 = 11*h - 8 + 26 for h.
-1
Solve 0 = 258*z - 127*z - 104*z - 783 for z.
29
Solve 7785 = 29*k + 8423 for k.
-22
Solve 32*r + 23 = 311 for r.
9
Solve 78*u - 161 = -772 + 143 for u.
-6
Solve -9*m = 24*m for m.
0
Solve 0 = 194*m - 298 + 604 + 276 for m.
-3
Solve 229*f - 340 = 246*f for f.
-20
Solve -283*s + 294*s - 22 = 0 for s.
2
Solve -36483 = -134*w - 32463 for w.
30
Solve z - 2 + 17 = 27 for z.
12
Solve -249*v + 285*v + 36 = 0 for v.
-1
Solve -178*v = 446*v + 1248 for v.
-2
Solve r + r = -195 + 171 for r.
-12
Solve -387*p - 441 = -240*p for p.
-3
Solve 639 = 104*r + 535*r for r.
1
Solve -12*y = -853*y + 6728 for y.
8
Solve 30*n - 97 = -39*n - 166 for n.
-1
Solve 0 = -11768*b + 11749*b - 57 for b.
-3
Solve 548*p = -132*p - 4080 for p.
-6
Solve 116 = -68*g - 1040 for g.
-17
Solve 162 = 47*j + 162 for j.
0
Solve -16*j - 7 = 9 for j.
-1
Solve 0 = -340*m - 6202 - 3998 for m.
-30
Solve 17*x = -240*x - 100*x - 8211 for x.
-23
Solve 97*i = 920 + 1 + 340 for i.
13
Solve 917 = 132*s - 49 - 882 for s.
14
Solve 88436*r - 88360*r = 0 for r.
0
Solve -13*t + 166 + 55 = 4*t for t.
13
Solve 233 - 240 = -c for c.
7
Solve 426 = 61*t + 52*t - 42*t for t.
6
Solve 0 = -73*i + 5*i + 136 for i.
2
Solve -4792 - 4528 = -233*h for h.
40
Solve -136*p - 138*p - 15352 = 534*p for p.
-19
Solve 38 = -15*d + 290 - 12 for d.
16
Solve -34*k - 2766 = -272*k - 3956 for k.
-5
Solve -192*q - 205*q = -410*q - 195 for q.
-15
Solve 5431*j - 5339*j = 3128 for j.
34
Solve -9*w + 245*w = 236 for w.
1
Solve -27 = -65*k + 38 for k.
1
Solve -119239 = 14*w - 119029 for w.
-15
Solve 624*c - 544*c = 880 for c.
11
Solve 195 - 6 = 89*l + 11 for l.
2
Solve -5*h + 459 = 16*h - 87 for h.
26
Solve -207*g - 434 = 10*g for g.
-2
Solve -35*w - 211 + 106 = 0 for w.
-3
Solve -881 = 255*c - 204 + 853 for c.
-6
Solve 211*a - 65*a = -438 for a.
-3
Solve 61*x = -10*x - 26*x for x.
0
Solve -973*a + 966*a - 49 = 0 for a.
-7
Solve -1867 = 227*x - 51 for x.
-8
Solve -260*y + 1090*y + 830 = 0 for y.
-1
Solve -34*g = 819 + 1065 - 626 for g.
-37
Solve 6*j = 121 + 101 - 168 for j.
9
Solve -8*w - 82*w + 532 = -14*w for w.
7
Solve 114*s = -471 + 129 for s.
-3
Solve 154 = -672*w + 789 + 709 for w.
2
Solve 0 = 8*k - 11280 + 11160 for k.
15
Solve 114*z - 246*z + 924 = 0 for z.
7
Solve 0 = -160*d + 144*d + 64 for d.
4
Solve 2*b - 581 + 574 = b for b.
7
Solve 169*m - 2286 = 587 for m.
17
Solve 120*c + 254 = -1906 for c.
-18
Solve 25*c + 15453 - 15753 = 0 for c. | {
"pile_set_name": "DM Mathematics"
} |
g g is positive.
g**(-1062/1001)
Simplify ((o/o**(-5))/o*(o/(o/((o/o**(2/35)*o)/o)*o))/o*(o/(o*o*o**8))**(-17))**(2/31) assuming o is positive.
o**(10986/1085)
Simplify (m**(4/11)*m*m/(m/(m/(m/(m**(3/2)*m))))*m**(-2/15)/((m**(-1/3)/m*m)/m))/((m**(1/2))**18)**(3/49) assuming m is positive.
m**(24323/5390)
Simplify ((b**0/b)/(b/(b*b**(-7)))*(b/b**(-3/5))/b**(2/3))/((b**(-2))**(15/4))**(8/7) assuming b is positive.
b**(158/105)
Simplify (y/(y/(y/(y**26/y)*y*y)))**(-2/13)*(y**26*y)**(23/4) assuming y is positive.
y**(8249/52)
Simplify n*n/(n/(n/(n*n**(-21)/n)))*n**(-5/4)/n*n**(-31)/n**(-16/9) assuming n is positive.
n**(-305/36)
Simplify ((x/(x**(-2)*x))/x)/((x/((x/x**(-2/11))/x))/x)*x**3/(x**(2/9)/x)*(x**(-4/7)*x**4)**33 assuming x is positive.
x**(81845/693)
Simplify (r**16/r*(r/(r*r/r**(1/10)))/r*(r**(-12)*r)**(1/28))**(-1/7) assuming r is positive.
r**(-1779/980)
Simplify ((i*(i**10/i)/i)/(i/(i**(-5/2)*i))*(i/i**4)/(i*i/(i/(i*i**(-2/41)*i))*i*i))**(-11) assuming i is positive.
i**(1309/82)
Simplify (z*z**(6/13))/z*z*z*z**(1/4)*z*((((z*z/z**4)/z)/z)/z)/z**(-3)*(z*z**(-1/3))/((z*z**(-4))/z)*z**(1/3)/((z**(-3/5)/z*z)/z) assuming z is positive.
z**(2161/260)
Simplify (s/(s*s**(2/23)*s*s*s)*s**(-5)*s**(1/2)*(s/((s**(-2/7)/s)/s))/s)/(s**1/(s*s**3))**(5/2) assuming s is positive.
s**(354/161)
Simplify (i**(-10)/i**7)/(i**(-5/6))**(1/46) assuming i is positive.
i**(-4687/276)
Simplify ((w/(w*w/(w*w**(-1/8)))*w/w**(2/5))/((w**0/w)/(w/w**(3/8))))/((w**8*w**(-2/7))/((w*w**(-6))/w**4)) assuming w is positive.
w**(-1023/70)
Simplify (f/f**(-2/5)*f**(4/7))**(-1/9)/((f**(-2/17)/f)/((f/f**(5/6))/f*f))**30 assuming f is positive.
f**(68384/1785)
Simplify (c**(2/59))**40/(c/c**48*c*c)**16 assuming c is positive.
c**(42560/59)
Simplify ((w*((w/(w/(w*w*w/w**4)))/w)/w)/(w*w**(9/8)))/(w**(19/5)/w**(1/16)) assuming w is positive.
w**(-629/80)
Simplify ((f*f**(-9/2)*f/(f*f**(-7/3)*f*f*f))/(f*f/f**(-3/14)*f**(4/5)))**(-1/59) assuming f is positive.
f**(754/6195)
Simplify (q**2/q**(-3))/(q**5/(q*q*q**3))*q/(q*q*((q*q**4)/q)/q)*q**(-3)*q*(q/q**3*q)/q**(1/3) assuming q is positive.
q**(-7/3)
Simplify ((y/y**6)**37/(y**(1/19)*(y/((y/y**(-5/12)*y)/y)*y)/y))**(-28) assuming y is positive.
y**(294679/57)
Simplify ((m**1*m*m**(2/11)*m)/(m*(m**(-2)*m)/m)**(-5/6))/(m**0*m*m*m*m**3*m*m)**(6/7) assuming m is positive.
m**(-2083/462)
Simplify (u*u**0)**(-2/39)*u*u/(u*u*u/((u/(u/u**(-4/9)))/u))*u*u*u*u/u**(-5)*u*u*(u**(-1/4)*(u*u**(-1))/u)**31 assuming u is positive.
u**(-14155/468)
Simplify (w**(-2/9)/(w**12/w)*(w**(6/11))**46)**37 assuming w is positive.
w**(50801/99)
Simplify (((f*f*f*f*f**(2/5)/f)**(-3)*f**(-1/4)/(f*(f**(-4)/f)/f*f))**(6/25))**(2/5) assuming f is positive.
f**(-387/625)
Simplify ((u*u/(u**(-7)*u))/u**1*((u*u/(u**(-3/4)/u)*u)/u)/u**(1/7))/(u*u*(u*u**(-5))/u*u**(-5)*u)**(-22) assuming u is positive.
u**(-4015/28)
Simplify r*r*r**(-39)*r*r*(r**(-1/46)/r)/r*r**(4/7)*r**(31/5) assuming r is positive.
r**(-48703/1610)
Simplify (((c*c**15*c*c)/c)**(-3/16)/(c**9)**(-4/5))**(10/9) assuming c is positive.
c**(107/24)
Simplify ((u**12/u)/u)**(-3/2)*((u*u**(-8/7))/u)/(u**(-1/6)*u) assuming u is positive.
u**(-713/42)
Simplify (h**(-1/2))**25*(h/(h/(h**(-2/7)*h))*h)/((h*h*h**(-2/19))/h)*(h**2/(h/h**(-1/3)))**(-15/8) assuming h is positive.
h**(-6879/532)
Simplify ((n**(2/5)/n)**19)**(-8)*(n*n/((n/(n**(2/5)*n*n))/n))**(-1/4)/(n*n**0*n**(-2/7)) assuming n is positive.
n**(6257/70)
Simplify (((k**0/k*k*k)**(-2/23)/((k*(k/(k*k**(1/4)))/k)/(k**(-1)/k)))**(4/21))**26 assuming k is positive.
k**(-4394/483)
Simplify ((u*(u**1/u)/u*u)/(((u**(-1)*u)/u)/u))**(-10/3)*(u/u**(-6/7))/u**(-3)*u**(-1/12)/u**(-1/2) assuming u is positive.
u**(-397/84)
Simplify ((s/(s*s**(1/2)))**(-4))**(-22)*s*s**2*s**(2/15)*((s**(-1/4)*s)/s)**26 assuming s is positive.
s**(-1421/30)
Simplify (q/(q**0/q)*q*q)**(-5/3)/((q/q**5)/(q*(((q/q**0*q)/q)/q)/q))*(q**(-3)*q**(1/3)*q)/(q**(1/2))**(-1/19) assuming q is positive.
q**(-491/114)
Simplify ((((g/(g*g**15))/g)/g*g**(-9))/((g/(g/((g/g**(3/2))/g)))/g)**48)**(-30/13) assuming g is positive.
g**(-2820/13)
Simplify (((p**(-4)*p)**35*(p/(p*p/(p/p**(-2/9))))**(-26))**(-1/45))**3 assuming p is positive.
p**(997/135)
Simplify (q**1/(q*q**(-2/5))*(q/q**(-8))/q**(-6))**(-18) assuming q is positive.
q**(-1386/5)
Simplify ((l*l/l**(2/67)*l)**26/(l/(l*(l/((l/l**0)/l*l*l))/l)*l*l**(-8)*l))**44 assuming l is positive.
l**(239448/67)
Simplify (f**42/(f*f**(-2/39))*f**(1/6)/(f*f*f**(2/9)))**(-6/11) assuming f is positive.
f**(-9125/429)
Simplify ((p*p*p**(-8/3)*p**(9/10))/(p*(p/p**(-2/13))/p*p*p*p*p)**(-23))**(47/3) assuming p is positive.
p**(2177087/1170)
Simplify (n*n**5*n*n**(1/5)*n)**(18/11)/((n**(-1/5)*n/n**(-2/7)*n*n)/(n**(2/7)*(n/(n*n*n/((n*n**(-6)*n*n)/n*n)*n))/n)) assuming n is positive.
n**(199/55)
Simplify ((b*b*b**(-7))/b*b*b**0/b)/(b/(b/b**(2/3)))**10*(b**(-3)*b**4/b)**(-1/63) assuming b is positive.
b**(-38/3)
Simplify ((((h*h**5/h)/(h**(-9)/h))**(-21))**(23/4))**(-44) assuming h is positive.
h**79695
Simplify w/(w*w/w**(4/5)*w)*w**4*w**(-2/17)*w*w/(w*w*w*w*w*(w**(-4/9)/w)/w*w)*(w*w**(-2/9))**(-2/15)/(w**(1/5)/w**(-4/7)) assuming w is positive.
w**(4043/16065)
Simplify ((k**(7/5))**(-14/5)/((k**(-3/7)*k)/k**(-14)))**15 assuming k is positive.
k**(-9708/35)
Simplify i**43/i*(i*i**0)/i*(i*i/(i/((i*i**(-11/4))/i)))/(i**(-8)*i) assuming i is positive.
i**(189/4)
Simplify ((v**(-4/3)/v)/(v*v*v**5)*v/(v*v**8)*((v**(-3)/v)/v)/v)/((v**(-1)/v)**(3/8)/((v**(1/2)*v)/v**7)) assuming v is positive.
v**(-337/12)
Simplify (m*m/m**(-6)*m**5*(m**7)**28)**(-29/5) assuming m is positive.
m**(-6061/5)
Simplify (p*p**(-1/2)*p)/(p/(p**(-6)/p))*(p*p**(-2))/(p/(p*p/(p/p**(-2))))*(p/((p*p**0)/p)*p*p**(-4)*p)/(((p*p**(4/7))/p*p)/(p/p**2*p)) assuming p is positive.
p**(-169/14)
Simplify ((z*z*z**(-2))**(-37))**11/((z*z/z**1*z)**(-2/81)*(z*z/z**(3/2))/(z**(-5)/z*z)) assuming z is positive.
z**(-883/162)
Simplify (s**(-5/4)*s*s*s**6)**39*((s/(s/(s*s**(-2/9))))/s)**(-15/8)*(s*s*s**(-2/9))**(2/5) assuming s is positive.
s**(11897/45)
Simplify f**18/f**(-1/11)*f**(-2/27)/(f/(f*f**36)*f*f) assuming f is positive.
f**(15449/297)
Simplify ((n/n**1)/n**15*(((n*n**18/n)/n)/n)/(n*n*n**(-1/3)/n))**(4/19) assuming n is positive.
n**(4/57)
Simplify (p/p**(2/5))**(-32/5)*(p**(-2))**(1/11)*(p/(p/p**(-4))*(p/(p/p**(1/7)))/p*p)/(((p**0*p)/p)/p*p)**(42/11) assuming p is positive.
p**(-15167/1925)
Simplify ((((d**(-13/2)*d*d)/d)/d)/((d/(d/((d*d/(d**4/d))/d*d)))/d)*(d*(d/((d*(d*d**(-24))/d)/d))/d*d*d)/d**(2/29))**37 assuming d is positive.
d**(48137/58)
Simplify ((f**(3/4)/(f/((f/f**11*f)/f)))/((f**(-9/5)/f*f*f)/(f*f**(-2/35)*f*f)))**(-9/11) assuming f is positive.
f**(8199/1540)
Simplify ((((q*q/q**(1/2))/q*q)/q)**(-2/83)*(q*q/(q/q**(1/5)))/q*q*q*q/q**1*q*q)/((q**(1/4))**(-14/9)/((q**(-1/2)*q)/q)**(1/42)) assuming q is positive.
q**(477401/104580)
Simplify ((k**2/k)/(k**18/k)*(k**4/k)**(-1/9))**18 assuming k is positive.
k**(-294)
Simplify (((n/(n/n**(31/4)))/((n*(n*n**(-6))/n)/n))/(n**12)**(-6/11))**(-2/9) assuming n is positive.
n**(-893/198)
Simplify (u**(-1/5)/(u/(((u*u*u**2)/u)/u*u))*u**(-2)*u*u/(u*u**1*u))/((u*u**0*u)**(-3/8))**(-2/109) assuming u is positive.
u**(-1323/1090)
Simplify ((u*u**4*u)/u*u**(-16/9)/u)/(u**38/u*(u/(u**42*u))/u) assuming u is positive.
u**(74/9)
Simplify ((q*q**(-1))**(-25))**(-2/127)/((q/(q*(q*q**(1/4)*q*q)/q)*q)**(2/7))**(-1/74) assuming q is positive.
q**(-5/1036)
Simplify (u**31*u*u**(-2/9))/(u**(-39)*u**(25/2)*u*u) assuming u is positive.
u**(1013/18)
Simplify (((s**(-2/7)/s*s*s**(-2/9)*s)/(s**(-6)*s*s*s**(-5)*s))**(-38))**(-46) assuming s is positive.
s**(935180/63)
Simplify (x**(1/6)*x**11)**(3/2)*(x/(x/(x*x*x**(1/2)*x)))**(-40)*(x**(2/5))**(-11) assuming x is positive.
x**(-2553/20)
Simplify ((g**(4/3)/(g/(((g/g**(-15))/g)/g)))/(g**(-4)*g**(-2/21)))**0 assuming g is positive.
1
Simplify ((q/q**(-4/5))/q**27*(q**(-24)*q)/(q**(3/16)/q))**(-6) assuming q is positive.
q**(11373/40)
Simplify (((x*x**(1/4)*x)/x)/(x*x*x**(-1/4)))**38*x**(2/17)/x**(2/5)*(x**(-4)/x)/x**2 assuming x is positive.
x**(-2234/85)
Simplify ((m**(-1))**(-2/33)/(m**5*m**(5/3)))/((m**(2/7))**(2/27))**(-12) assuming m is positive.
m**(-4402/693)
Simplify (i**4/(i/i**(-5/2)))/((i*i**(2/15))/(i*i*(i**7 | {
"pile_set_name": "DM Mathematics"
} |
35))?
-14
Calculate (10608/35100 - 2/9)/(2/5).
1/5
((143/11 + -16)*(-3)/(-2))/3
-3/2
Calculate (640/(-20) - -20)/50.
-6/25
(98/(-420)*-5)/((-10)/15)
-7/4
Calculate ((-108)/99)/(-12) - 1075/2750.
-3/10
What is ((-4)/(-50))/((-6)/(-15)*5/(-10))?
-2/5
-2*9/39*(6 + 65/(-10))
3/13
What is (-84294)/257985 - 2/(-105)?
-4/13
What is (224/1092)/(12/9) + (-141)/(-13)?
11
Evaluate 46/(21 - -2) - 17.
-15
Evaluate (-3725)/2980 + 226/8*1.
27
What is ((10/(-1300))/(6/24))/((-1)/5)?
2/13
What is 10*8/32 + -2 - (-13)/(-2)?
-6
10 + (4/(-3))/((-56)/672)
26
((2/25)/((-52)/130))/((-4)/10)
1/2
18 + ((-6)/4)/((-11)/(-66))
9
What is the value of (76/(-20))/1*(7 + -37 + 31)?
-19/5
What is ((-132)/40 + 4)*139/(-973)?
-1/10
What is 2 - 5 - (-6)/(-3)*(-150)/(-60)?
-8
Evaluate 997/(-312) + (-654)/(-4251) - 6/(-16).
-8/3
(-2)/9*(-180)/24 + 400/(-105)
-15/7
(-4)/(-2) + 15/75*48/(-4)
-2/5
What is 13149/(-378) + 315/9?
3/14
What is 2771/255 - 11 - 4/6?
-4/5
What is the value of (5472/540 - 10)*((-20)/(-84))/1?
2/63
Evaluate (-2835)/(-504) - (0 + (-6)/16).
6
What is 2 - 0 - 1040/104?
-8
What is (-2164)/(-7574) + 18/(-14)?
-1
(((-4)/8)/(-1))/(8/144)
9
What is the value of (27/(-81)*(-6)/(-10))/(27/90)?
-2/3
What is (2 - (5 - 6)) + 2 + (-3 - 0)?
2
Calculate 260/8060 - 38/217.
-1/7
What is the value of 4/(-8)*(6240/(-24))/(-10)?
-13
Calculate 18/(-288)*-8 - (5 + -2)/3.
-1/2
What is the value of 23 - (-5040)/(-150) - -11?
2/5
Calculate ((-9)/(-22))/((-2241)/(-1494)).
3/11
Calculate (-414)/1380 - (-9)/(-10).
-6/5
Calculate 7 - 10/(-4)*260/(-100).
1/2
What is the value of 0 + (-217)/49 + (-8)/14 + -6?
-11
Calculate (((-36)/5)/18)/((-48)/40).
1/3
What is 16497/5076 + (-2)/8?
3
What is ((18/45)/((-16)/25))/(43/172)?
-5/2
Evaluate (-6)/8 - 742/(-2120).
-2/5
(-14 - ((-5265)/(-26))/(-15))/((-2)/20)
5
What is 1032/174 + (20 - 11 - 15)?
-2/29
What is the value of 25/10*476/(-170) - 4/(-4)?
-6
What is 3*256/(-168) - ((-152)/(-28) + -6)?
-4
Calculate (108/(-24) - -8)/((-1071)/(-36)).
2/17
What is the value of 80/28 + -3 - (2 - 2)/30?
-1/7
-24 + (-5304)/(-507) + 14
6/13
20 + (2 - -6) - 21
7
What is the value of (-2)/1*((-6118)/(-1140) - 12/(-90))?
-11
Evaluate (-2 - -14) + -1 + -4.
7
Evaluate 781/(-132) - (-1)/2*12.
1/12
-5*(-136)/(-1260) + (3 - 90/35)
-1/9
Calculate (-58)/116*8/10 - 3.
-17/5
Evaluate (-12)/16*-2*31/(-372).
-1/8
Evaluate (-428)/60 - (-2 + 3)*-7.
-2/15
Evaluate 45*8/(-140)*-7.
18
What is (0 + (-25)/15)/(-1 - 7/(-6))?
-10
What is the value of (-5)/42 - (-66)/231?
1/6
What is the value of 26/156 - (-10)/(-4)?
-7/3
What is 124/5 + (406/(-70))/(-29)?
25
What is the value of ((-3)/(-9))/(113/(-5085))?
-15
24/40*(-155)/186
-1/2
What is 9/(-1)*(39/(-36) + 1)?
3/4
What is (36/(-20) - 1)*24/((-816)/(-85))?
-7
(-30)/16 + 2 - 1967/(-20232)
2/9
Evaluate (-65 - -89) + (-276)/11.
-12/11
Calculate (85800/(-420))/26 + (-6)/(-7).
-7
Calculate 29 + (-11200)/832 - 2*8.
-6/13
What is 3/(-70) + (-20)/(-140)?
1/10
What is 780/(-104)*(-56)/30?
14
What is (-2)/41*7/(-21)*(3 - 6)?
-2/41
Calculate (-3745)/(-105) + -36 + 11 + -3 + 1.
26/3
What is the value of (-504)/784*-40 - (-4)/14?
26
What is the value of ((-60)/9)/((-16)/(-56) - (-8)/21)?
-10
Evaluate 3*(-20 - 5052/(-252)).
1/7
Evaluate (2088/240)/29 - (2 + (-108)/40).
1
What is (4144/(-448) - 1*8)/(12/(-16))?
23
What is -16*(-30)/(-40) + 13?
1
Calculate (28*(-8)/(-672))/((-3)/(-171)).
19
(26 - 20) + 17 - 39
-16
What is the value of ((-611)/52 + 12)/((-39)/(-36))?
3/13
What is the value of (-7 - -5) + (9 - (-17 + 8))?
16
(6/(-20))/((-10)/(-200))
-6
What is 1/3*3/(-45)*-9?
1/5
Evaluate (153/36 - 1/4)*18/12.
6
-2165*15/1800 - 2/(-48)
-18
Evaluate (37 + 7640/(-200))/(2/20*1).
-12
What is the value of 15/(-6 - 34/(-136)*(-82)/(-3))?
18
-21 + -101*18/(-90)
-4/5
What is (-20)/(-150)*(-3 + 15)?
8/5
Calculate ((-8)/2 - 2) + -28 + 23 + 1.
-10
Evaluate 6/21 + 681/(-252) + (-12)/48.
-8/3
(-207)/54*5 - ((-510)/(-36))/17
-20
Evaluate (-429)/43 - (-3 + 1)/((-71)/(-355)).
1/43
Calculate 15 + -17 - (-198)/108.
-1/6
What is (-5)/((-19)/(228/10))?
6
Calculate 41520/(-630) + 66 - (-1264)/(-42).
-30
Evaluate (-86)/8 - 8/(17 - -15).
-11
(320/(-350) - (-2)/10) + 1 + -1
-5/7
Evaluate (1 + -7)*1/(-15)*25/60.
1/6
Evaluate ((-279)/4092)/(553/280 - 2).
30/11
What is -7 + 21/(-63)*(-84)/(-4)?
-14
(1 - (-49)/(-21))*(-45)/(-30)
-2
Evaluate (-30)/(-8)*28/(-504)*-48.
10
(10/(-90)*6)/(((-2)/(-12))/(-1))
4
What is 12*1166/1848 + (-6 - 2)?
-3/7
Evaluate (80/(-30))/((-93)/(-9) - 10).
-8
What is the value of (-3)/(-2)*(18 + 552/(-28))?
-18/7
(20/70 - (-488)/(-56)) + 9
4/7
249/1411*7/140*85
3/4
Evaluate (16040/700 + -23)/(1*(-6)/4).
2/35
Calculate (-346)/(-2)*1/9 + 538/(-2421).
19
Calculate (329 + -308)*((-12)/42 + 22/(-21)).
-28
What is the value of 1836/5780 + (-7)/35?
2/17
What is the value of (-30 - 53846/(-1833)) + 2/3?
2/47
What is the value of 1/(-1) + ((-11)/4)/((-476)/112)?
-6/17
What is (10 - 18)/(-3*(-10)/135*3)?
-12
(5/(-10))/((-2)/4)*(-33 + 25)
-8
Evaluate (-4 - 4)/((-3)/(-4)*10/(-15)).
16
Evaluate (-7)/924*-1068 + (-1)/11.
8
What is (((-10)/15)/((-1)/(-3)))/((-1349)/18886)?
28
Calculate (-493)/58 - (-8 + (-17)/(-2)).
-9
((-17)/306 + (-12)/27)*-4
2
What is the value of (60/24 - 10)/(-1*(-20)/(-48))?
18
What is the value of 51/(-12)*16/4?
-17
What is 309/(-5871) - 4/(-38)?
1/19
Calculate (84/24 - 16)*4/5.
-10
1032/260 + 3 + (-1708)/244
-2/65
Calculate 0 + 9 - (37232/320)/13.
1/20
Evaluate (60/63 - 1)/((1716/910)/(-33)).
5/6
Evaluate (-812)/(-22330)*((-2)/(-4) - 3).
-1/11
Evaluate (-13 - 9) + (108 - 108).
-22
94/14 - (-116)/406
7
What is the value of ((-2)/(-8))/((353/2471)/((-1)/(-7)))?
1/4
What is the value of -6 + 2 - (12 - 81/6)?
-5/2
Calculate (325/(-39) - -8)/((7/15)/7).
-5
Evaluate (-3)/(-2)*12/9.
2
Calculate ((7/(-70))/((-6)/96))/((-12)/(-10)).
4/3
What is ((-280)/(-15))/(25/((-600)/16))?
-28
Evaluate (-256)/1900 + 426/1775.
2/19
Calculate (10/14 + (-16029)/4095)*(-5 - 0).
16
Evaluate 13/(897/(-2)) + (-2086)/(-5313).
4/11
Calculate (70 + 1606/(-22))*((-11)/(-12))/1.
-11/4
(11/(-3))/(77/231)
-11
10 + 16/((-896)/518)
3/4
Calculate (-492)/205 - 1*((-8)/(-2))/(-4).
-7/5
(-2226)/630 - (1 - 0)/(-3) - -4
4/5
What is the value of (-23 + (2 - -19))*-9?
18
Calculate (-240)/825 + 14/154.
-1/5
What is the value of ((-37)/(-5) - (-4)/(-10)) + (-51220)/7280?
-1/28
Evaluate (21/(-35))/((-108)/(-1620)).
-9
Calculate 10*(-8)/10*(-75)/50.
12
Evaluate -18 + 10734/567 + (-24)/28.
2/27
(15/2 - 8)/((-9)/72)
4
What is -11 + 2245/1435*7?
-2/41
(3 + (-493)/153)*2
-4/9
Evaluate -4 + 231/(-132) + 2 + 92/16.
2
What is the value of -16 + 14 + (-4)/((-52)/(-39))?
-5
What is (624/64)/(4 + 78/(-24))?
13
What is (-12)/((60/(-8))/(-5))*1?
-8
What is (-24)/72*((0 - -1) + 2)?
-1
Evaluate (2772/(-54))/(-14) - 527/102.
-3/2
What is (175/(-4600)*6/(-7))/(6/16)?
2/23
Calculate 1241/595 - 2/(-10) - (-8 - -10).
2/7
What is the value of (-20)/48*(-84)/280?
1/8
Evaluate (-24 - 11)*(-8)/(-20) - -3.
-11
What is (8 - 2)*((-2)/(-8) - (-159)/(-684))?
2/19
-1*3 + ((-1)/9 - (-17458)/5481)
2/27
Evaluate (-9)/15*5 + 292/100.
-2/25
Evaluate (-60)/25 - (0 - (-15)/(-5))*1.
3/5
Evaluate -8 + -20 + 18 + (0 - -24).
14
Evaluate (10/4)/((-3850)/1232).
-4/5
What is (-14)/(-2) - 19/(247/442)?
-27
What is ((-40)/(-240) + 76/(-168))*-28?
8
32/(-40) + (-39)/130*(-6)/9
-3/5
What is the value of (-66)/28 + -1 + 26/14?
-3/2
(30 + -28)*(6/3)/((-1)/2)
-8
What is the value of (182/(-49))/(346/(-1211))?
13
What is -21 + (57 - 24)/1?
12
Evaluate (-1880)/(-80) + -27 + 6.
5/2
What is the value of -2*(-3)/(-2)*(-10 + (-84)/(-12))?
9
What is the value of (-1005)/(-75) - (4 + -2)*7?
-3/5
What is (14/21)/(20/(-45)*-6)?
1/4
What is ((-18)/(-21))/(-1)*(3692/78 + -38)?
-8
What is the value of 27/(-6)*156/(-3159)?
2/9
(-5)/(-15) - ((-7)/(-21))/1
0
What is 1/(-7)*-16 + (-18 - 4 - -20)?
2/7
14/(-4)*((-1076)/798 + 52/39)
1/19
Evaluate (5076/(-240) + 21)*(-10)/18.
1/12
Calculate ((-1)/(-7))/((520/(-26))/40).
-2/7
What is (-1)/2*4/(-14) + 14477/(-9807)?
-4/3
What is (1 + (-88)/40)/(60/400)?
-8
Evaluate -63*235/1316*(-12)/5.
27
What is the value of ((-3250)/(-600))/(-1*(-35)/21)?
13/4
What is (6/(-14))/((-112)/(-784))?
-3
Calculate (-370 + 372)*(2 + -13).
-22
1*5*(-4)/10*1323/294
-9
Evaluate 912/760*-2*(-10)/4 - 0.
6
What is -7 + 15 + (-3)/(984/2632)? | {
"pile_set_name": "DM Mathematics"
} |
se -y = -2*y + i. Is y a multiple of 13?
False
Let x be 20 + -4 - (2 - 3). Let z = -13 + x. Is z even?
True
Does 9 divide 191/9 + 2/(-9)?
False
Suppose -3*i = -i - 354. Is i a multiple of 14?
False
Let m(o) = -o**2 + 8*o + 8. Let g be m(10). Let k be (-1 - 0)*-2 + -22. Let c = g - k. Does 3 divide c?
False
Is 26/(((-15)/(-20))/((-6)/(-4))) a multiple of 4?
True
Suppose b + 3 = -2*b, -1 = 5*r + b. Suppose -j + 2*c + 11 + 4 = r, -3*j + 45 = -3*c. Is 5 a factor of j?
True
Let u be (16/3)/(4/6). Let z(c) = 6*c - 2. Is z(u) a multiple of 12?
False
Let j(d) = d + 10. Let u be j(-8). Is 20 a factor of u/3*(-261)/(-6)?
False
Let h(p) = p**3 + 9*p**2 - p - 6. Let v be h(-9). Suppose -v*m = -89 - 49. Does 23 divide m?
True
Let q = 21 - 81. Let o = q - -102. Does 21 divide o?
True
Suppose -3*q - q - 2 = -2*x, -27 = -q - 5*x. Suppose -2*s - 3*c = -15, -9 + 1 = -q*s + 4*c. Suppose -2*v + s*v = 3*f + 75, 3*v - 52 = -2*f. Does 10 divide v?
False
Let g(o) = 4*o**3 - o**2 + 1. Let q be g(1). Suppose -32 = 4*u + 5*z, -u - 2*z - 8 = -q*z. Let w = u - -24. Is w a multiple of 6?
False
Suppose 2*v + 6*b = b - 13, -b = 3*v - 13. Suppose -4*n = -22 + v. Suppose -4*i + 0*i = -5*h + 71, n*h - 55 = 5*i. Is h a multiple of 6?
False
Let v = -261 + 417. Is 26 a factor of v?
True
Let m(x) be the second derivative of -x**5/20 + x**4/2 - x**3/3 + 7*x**2/2 - 2*x. Is 19 a factor of m(5)?
False
Let i(k) be the first derivative of -k**4/4 - k**3/3 + k**2/2 + 3*k - 3. Let w be i(0). Suppose -115 = -3*u + 5*t, 2*t = w*u - 0*u - 109. Is 12 a factor of u?
False
Let p(h) = -5*h**2 - 5*h - 12. Let g(c) = -2*c**2 - 2*c - 6. Let i(t) = -7*g(t) + 3*p(t). Let n be i(0). Suppose f - n - 23 = 0. Is 14 a factor of f?
False
Suppose 2*u = -u + 2*m + 23, -3*u + m + 19 = 0. Suppose 319 = 3*j - 4*b, u*j - j + 2*b = 418. Does 35 divide j?
True
Let x = -17 - -22. Suppose y + x*q - 2*q = -3, 2*q = -8. Is 5 a factor of y?
False
Suppose 3*y + 8 = 7*y. Suppose 0*o - 72 = -y*o. Is o a multiple of 12?
True
Let j = -52 - -88. Let t = -25 + j. Does 3 divide t?
False
Suppose -5*k + 2*g + 58 = -0*k, -4*k - 2*g = -32. Let m = k + 1. Is m a multiple of 4?
False
Let v(j) = j**2 + 3*j - 3. Let d be v(-5). Suppose a - 25 = -d. Suppose 0 = 3*q + 3*y - a, -q + 15 = q + 5*y. Is 2 a factor of q?
False
Suppose -5 - 1 = -3*x. Suppose -49 = -x*b - y, -3*y - y - 116 = -5*b. Does 16 divide b?
False
Let y be ((-99)/(-4))/(3/12). Suppose -y = -5*p - n - 9, -p + 24 = -n. Let f = p + -6. Is 11 a factor of f?
False
Let z(n) = -n**2 + 5*n + 2. Let h be z(5). Suppose -2*t + 4*c = -16, -4*t - 8 = -h*t + 2*c. Suppose t = 5*d - 37 + 7. Does 6 divide d?
True
Let o(d) = -14*d + 1. Let u be o(1). Let g(j) = -6*j - 26. Is 11 a factor of g(u)?
False
Let i = -7 - -23. Let l = i + -9. Let x(t) = t**2 - 4*t + 3. Does 12 divide x(l)?
True
Suppose -j = -5*i + 199, 2*i + 0*j + 3*j - 83 = 0. Does 20 divide i?
True
Let z = -49 - -76. Is 9 a factor of z?
True
Suppose -v = -7*v + 408. Does 10 divide v?
False
Let r = 270 - 186. Suppose 55 = 2*s - 3*y, -4*y - r = -s - 2*s. Does 14 divide s?
False
Suppose 3*d - 109 = -4*v, d - 2 = 1. Is 23 a factor of v?
False
Let l(u) = -u**2 - 4*u + 1. Let z be l(-4). Suppose -z - 5 = -n. Does 6 divide n?
True
Is 31 a factor of ((-708)/(-15) + -2)*40/16?
False
Let k(v) be the first derivative of 2*v**3/3 - 6*v**2 - 2. Is k(8) a multiple of 18?
False
Let l be (-7)/((-7)/(-3)) + 1. Let w = 13 + l. Does 4 divide w?
False
Let i = 191 + -96. Does 19 divide i?
True
Let n(p) = p - 6. Let f be n(10). Suppose -71 = -g - f*x, -x + 197 = 3*g - 38. Suppose -4*a + g = 27. Is a a multiple of 7?
False
Is 2 a factor of (-15 - -16) + 5*1?
True
Let v(g) = 4 - 3 + 13 - 3*g + 0. Is v(-13) a multiple of 25?
False
Let v(i) = -i**2 + 6*i - 3. Let r be v(5). Suppose m - r*m = -44. Is m a multiple of 22?
True
Let c(x) = x**3 - 7*x**2 - x - 3. Let r(p) = 26*p**2 - 11*p**2 - 3*p**3 + 7 + p + 0*p. Let a(z) = 7*c(z) + 3*r(z). Is a(-3) a multiple of 12?
False
Let c be 3/9 - 1617/(-9). Let b be c/8 - 1/2. Suppose -p = -b + 6. Is p a multiple of 11?
False
Let w(t) = 2*t**2 + 7*t**2 + 6 + 7*t - 4*t**2 + t**3 + 4*t**2. Is 14 a factor of w(-8)?
True
Suppose -s - 24 = -5*s. Does 22 divide 218/s + (-2)/6?
False
Suppose 5 = -3*t + 2. Is 8 a factor of (6/2 - -14) + t?
True
Let o be (4 + 0 - 2)/(-1). Does 9 divide (-7 + -2)/(-3 - o)?
True
Suppose -2*p = -a + 8, 3*a + 0*p = -p + 3. Suppose a + 2 = 4*v - t, v + 5*t - 22 = 0. Suppose 0*n - 217 = -4*n + 3*s, 0 = 4*n - v*s - 218. Is 19 a factor of n?
False
Let z(v) = -7*v**3 - 4*v**2 - v + 2. Suppose 4*m + 7 = -m + w, -2*w - 6 = 0. Does 20 divide z(m)?
False
Let b(m) = m**2 + 6*m + 6. Let c be b(-8). Suppose 0 = 5*t - c - 118. Suppose t - 4 = 3*h. Is 4 a factor of h?
True
Suppose -4 = 2*o, -5*q + 3*o + 94 = -3*q. Let a = -20 + q. Is 6 a factor of a?
True
Let f(v) = -59*v - 34. Does 13 divide f(-4)?
False
Suppose 4*p = -2*y - 3*y + 187, -4*y + 2*p = -134. Is y a multiple of 7?
True
Let w be -22 - (3 - (-5)/(-1)). Let z be (-1)/5 - 44/w. Is 21 - (-3 + 2 + z) a multiple of 11?
False
Suppose -5*o + 4*r = -80, 3*r = o - 0*r - 27. Let a be -2*(39/6 + -2). Let u = a + o. Does 3 divide u?
True
Let i = 7 + -3. Let w(h) = h**3 - 4*h**2 + h + 1. Let k be w(i). Let b = k + 5. Does 10 divide b?
True
Let r = 1 + -2. Let t be r + (-16 - -1)*-2. Suppose -k = -3*m + m - 17, -m + t = k. Does 15 divide k?
False
Let v be (-1140)/42 + (-2)/(-14). Let m = v - -51. Is 14 a factor of m?
False
Suppose -2*a + 20 = -26. Suppose -2*v = v - 129. Let w = v - a. Is w a multiple of 10?
True
Does 3 divide (-16)/6*(-30)/8?
False
Let l be (60/2)/((-4)/4). Is 6 a factor of ((-4)/(-10))/((-1)/l)?
True
Suppose -4*w - 3 = -11. Suppose 0 = w*p - 3*j - 101 - 3, -j - 51 = -p. Does 13 divide p?
False
Suppose -2*q + 9 = -1. Does 2 divide q?
False
Suppose 2*m - 3*d = -2*m + 129, 3*m - 102 = 4*d. Is m a multiple of 5?
True
Suppose -y + 0*y = -27. Suppose 3*t = 126 + y. Does 19 divide t?
False
Suppose -4*c = -134 - 58. Is 8 a factor of c?
True
Let q = 30 - 11. Let b(r) = -r + 29. Is 10 a factor of b(q)?
True
Does 5 divide -3*12/45*(-1 - 24)?
True
Let n(x) = -2*x + 2. Let y = -7 - -5. Is n(y) a multiple of 5?
False
Suppose -3*i = -5*z + 13, 3*i - 3*z = z - 8. Suppose i*w - 3*w = 60. Let r = w - 42. Is r a multiple of 9?
True
Is 8 a factor of (0 - (-2 - -1))*16?
True
Does 27 divide 4*3/(-3)*117/(-3)?
False
Is 101 + ((-16)/4)/4 a multiple of 17?
False
Let b(k) = 3*k**3 + 4*k**2 + 3*k + 1. Let u be b(-2). Does 10 divide 3 - (3 - -3) - u?
True
Let r = 123 + -31. Is r a multiple of 55?
False
Let t(b) = -b**3 - 5*b**2 + 7*b + 8. Let w be t(-6). Suppose -3*a + 17 = 4*v + 2*a, 5*a - 29 = w*v. Let u = v - -12. Is u a multiple of 10?
True
Suppose 6*m = 2*m + 440. Is 7 a factor of m?
False
Let m(z) be the first derivative of z**2/2 + z + 3. Let t be m(3). Is (2 + 6)*5/t a multiple of 4?
False
Let u(n) = -6*n + 1. Let o be u(-1). Let y be ((-20)/(-35))/(2/o). Suppose 130 = -y*q + 7*q. Does 13 divide q?
True
Suppose 5*r - 4 = 2*s - 57, 25 = -5*r. Let z = 29 - s. Suppose -6 = -2*c - 5*w + 25, -z = -5*w. Does 8 divide c?
True
Let g = 28 - 12. Does 3 divide g?
False
Let k(h) = -10*h**3 - h**2 + 1. Let r be k(-1). Let b = -6 + r. Suppose -b*q = -q - 93. Does 15 divide q?
False
Let m be 1*(-1 + 7 + -1). Let y = 9 - m. Suppose 120 = y*l + l. Does 10 divide l?
False
Suppose -45 - 36 = -3*b. Does 9 divide b?
True
Let y be (15/6 + -3)*-134. Suppose -20 = 3*r - 2*w - y, 10 = 2*w. Does 9 divide r?
False
Let p(m) = -m + 2. Is p(-1) even?
False
Let z be ((-12)/(-10))/(6/260). Suppose 0 = -2*g - 4*b + 22, 4*g + 4*b + 0*b = z. Does 6 divide g?
False
Suppose 5*k = -4*m - 51, 11 = 2*k + m + 29. Let n = k - -11. Suppose -n*d + 0*d = -112. Is d a multiple of 15?
False
Let d(a) = -a**3 + a + 27. Does 9 divide d(0)?
True
Suppose -6*g + 10*g - 104 = 0. Is 13 a factor of g?
True
Suppose 5*o = 9*o - 68. Let c = 22 + o. Is 16 a factor of c?
False
Let d(b) = b + 8. Let n be d(-6). Suppose 0 = -n*c + 26 - 6. Is 3 a factor of c?
False
Suppose -5*o - 43 = -8. Is (22/(-4))/(o/14) a multiple of 11?
True
Let l = 81 + -155. Let o = -51 - l. Does 23 divide o?
True
Suppose -y - 10 + 26 = 0. Suppose y = -3*c - c. Let i = c - -11. Does 4 divide i?
False
Is (270/(-24))/((-3)/8) a multiple of 13?
False | {
"pile_set_name": "DM Mathematics"
} |
d. What is the units digit of l?
2
Suppose 30 = 5*j - 0. Let t(y) = y**2 - 2*y - 6. What is the units digit of t(j)?
8
Let v(z) = -3*z - 1. Let d be v(-2). Let p = -1 + 24. Suppose -p + d = -3*s. What is the units digit of s?
6
Let m(n) = n**3 - 4*n**2 + n - 1. Let b be m(3). Let l = 12 + b. Suppose 2*q + 12 = -l*d, 6*q + 4*d = 3*q - 4. What is the units digit of q?
4
Suppose -3*m + 114 = -0*m. What is the units digit of m?
8
Suppose -7 - 3 = -3*s - 4*z, -5*s + 3*z + 7 = 0. Suppose 20 = -s*o + 7*o. Suppose -n - 13 = -o*a, -3*a - 2*a - n + 14 = 0. What is the units digit of a?
3
Let m(i) = 4*i - 4*i + 1 + 4*i - i**2. Let j be -1 + 0 + (3 - 0). What is the units digit of m(j)?
5
Let y = -3 + 3. Suppose -h + 4 + 0 = y. What is the units digit of h?
4
Let n = -6 + 11. Suppose 0 = -n*g + 9 + 31. What is the units digit of g?
8
What is the units digit of 96/(-40)*40/(-3)?
2
Suppose 3*i = 3 + 6. Suppose 0 = -4*t + i*v + 27, 0 = 4*t + 6*v - 3*v + 3. Suppose 0 = -t*h - 0 + 6. What is the units digit of h?
2
Suppose 0*o + 5*o + j - 1 = 0, 0 = -2*o + 2*j - 2. Suppose 2*r + 0*r - 50 = o. What is the units digit of r?
5
Let z = 4 + -4. What is the tens digit of (-3 - z)*10/(-3)?
1
Suppose -3*p + 10*o - 5*o + 82 = 0, p - 30 = 3*o. What is the units digit of p?
4
Let b(p) = 2*p - 22. What is the units digit of b(15)?
8
Let c = -19 - -30. What is the tens digit of c?
1
Let q(w) = -w**3 - 7*w**2 - 3*w - 10. Let z be q(-7). Let k = z - 7. Suppose -g - 3 + k = 0. What is the units digit of g?
1
Let u(x) = -2*x**2 - 26*x - 13. What is the units digit of u(-11)?
1
Suppose 0 = 4*w + r - 529, 0 = -5*w + r - 5*r + 664. What is the units digit of w?
2
Suppose 1 = -2*s + 3. What is the units digit of s?
1
Let p be -1 + (12 - (1 + -2)). Suppose 5*y = -p + 47. What is the units digit of y?
7
Suppose 2*o - 4*h = o + 34, 2*o + 4*h = 68. What is the units digit of o?
4
Let h = -4 - -4. Suppose 0 = 2*j - 7*j + x + 66, h = -2*x + 8. Let r = j + 5. What is the units digit of r?
9
Let r(i) = -2*i - 6. What is the tens digit of r(-22)?
3
Let l = 43 + -25. What is the tens digit of l?
1
Let l(q) = -q + 1. Let v be l(1). Suppose x + u + v*u - 9 = 0, -33 = -5*x - 2*u. Suppose -3*k + 10 = i, 0*k - x*k + 22 = -i. What is the units digit of k?
4
Let t be (-31)/(-1) + 0 + 1. Suppose t = 2*n - 2*c, 0 = -6*n + 3*n + 4*c + 50. Let u = n - 5. What is the units digit of u?
9
Let w = -63 + 88. What is the tens digit of w?
2
Let z be (-2)/2 - 16/2. Let o(j) = j**3 + 10*j**2 + 8*j - 7. Let w be o(z). What is the units digit of 8 + w/(1 + -2)?
6
Suppose 4*p - 319 = -3*a - 82, -4*a = 3*p - 169. What is the units digit of p?
3
Suppose -2*z = l - 159, 4*l - 618 = 4*z - 3*z. What is the hundreds digit of l?
1
Suppose -3*j = 2*j - 710. What is the tens digit of j?
4
Let z(d) = -2*d**3 + 5*d**2 - 9*d - 7. What is the tens digit of z(-3)?
1
Suppose -4*p = -6*p - 5*y + 407, -2*p - 2*y = -404. What is the units digit of p?
1
Let c be -7 + 13 - 3/1. Suppose 4*f - c*f - 11 = 0. What is the units digit of f?
1
Let f = 8 - 5. Suppose 6 = 5*s + f*d, 3*d - 8 = -3*s - d. What is the units digit of 11 + (2 - (s - 1))?
4
Let m = 32 - 2. What is the units digit of (-4)/(-16) - m/(-8)?
4
Let x(y) be the third derivative of y**4/8 + y**3/3 - 3*y**2. What is the units digit of x(2)?
8
Let g be (-75)/10*4/(-6). Suppose g*a - 3 - 2 = 0. What is the units digit of a?
1
What is the units digit of -3 + (3 - -1) + 37?
8
Let q be 0 + -2 - (0 - -1). Let d be q + 3 + 2 + 2. Suppose 5*a - 79 = 2*x, -d*x = -2*a - x + 36. What is the tens digit of a?
1
Let c(o) = 4*o**2 - o. Let p be c(-2). Suppose -6 = -3*n - m - 2*m, 3*n - 4*m - 20 = 0. Suppose a = n*a - p. What is the units digit of a?
6
Let t = 208 + -111. Suppose t - 2 = 5*l. What is the tens digit of l?
1
Suppose 3*f + 0*f - 45 = 0. Suppose 2*b + 41 = f. Let a = -3 - b. What is the units digit of a?
0
Let i = -1 - -3. Suppose -6*s + i*s = 36. What is the units digit of 1 + (s + 1)/(-2)?
5
Let t(p) = -p**2 - 1 - 5*p + 14*p - 3 + 7. What is the tens digit of t(8)?
1
Let g be 3/6 - 15/(-6). Suppose -a + g = -0*a. What is the units digit of a?
3
Let h = 75 - 34. What is the units digit of h?
1
Suppose -5*h + 10*h - 150 = 0. What is the tens digit of h?
3
Let y(h) = -2*h + 5*h**2 + 3 + 9*h**2 + 0*h - 7*h**2. Let s be y(-3). What is the units digit of s/15 - (-2)/10?
5
Suppose 224 = b - 54. What is the units digit of b?
8
Let q = -9 - -1. What is the tens digit of (10/(-8))/(1/q)?
1
Let n = 1 + 3. Suppose n*u - 5 - 11 = 0. What is the units digit of u?
4
Let o be 9/2*16/(-12). Let q be -1*3*o/9. Suppose -q*n - 3 = 5*r - 4*n, 3*r + 1 = n. What is the units digit of r?
1
Suppose 5*f - 2*f = 51. What is the tens digit of f?
1
Suppose 4*f + 3 = -5. Let q be 46/(-8) + 1/(-4). Let t = f - q. What is the units digit of t?
4
What is the hundreds digit of 4/(-2) - (14/(-7) - 186)?
1
Suppose -3*j + 422 - 77 = 0. What is the units digit of j?
5
Let h be (-23)/7 + (-2)/(-7). Let b be (1/h)/((-2)/(-6)). Let v = b + 12. What is the tens digit of v?
1
Suppose 4*y + d = 17, -19 = -5*y - d + 2*d. Suppose -1 = 3*h - y. What is the units digit of h - 1 - -1*4?
4
Suppose 0 = 5*u - 0*u - 20. Suppose 3*c = -u*l + 51, -l - 34 = -2*c - 0*l. What is the tens digit of c?
1
Let h(y) = -2*y**3 - 3*y**2 + 3*y + 3. What is the tens digit of h(-3)?
2
Suppose -765 = -9*h + 4*h. What is the units digit of h?
3
Suppose 54 + 114 = 2*w. Suppose -5*g + 75 = -5*n, -w = -5*g + n + 7. What is the units digit of g?
9
What is the units digit of ((-45)/(-4))/((-18)/(-48))?
0
Suppose -283 = -i + 3*d - 5*d, 5*d = -2*i + 568. What is the hundreds digit of i?
2
Let m(r) = 2*r**2 - r - 1. Let n be (8 - 2)/2 + -11. Let u(d) = -d**2 - 7*d + 10. Let a be u(n). What is the units digit of m(a)?
5
Let p = -8 - -23. What is the units digit of p?
5
What is the units digit of 0/1 - (-6 + 2)?
4
What is the hundreds digit of (6 - 3) + -442*(-4)/8?
2
Suppose -4*h + 7*h = 75. Let u = h + -13. What is the tens digit of u?
1
Suppose 2*p = -0*p. Suppose 2*h + 2*x = 6*x + 2, 3*x - 6 = p. What is the units digit of h?
5
Let f(m) = -3*m - 16 - 3*m + 0*m + m. What is the units digit of f(-7)?
9
Suppose -4*f = 17 - 49. What is the tens digit of 92/f + 2/4?
1
Suppose 2150 = 2*s + 8*s. What is the tens digit of s?
1
Let n(q) = q**3 - 6*q**2 + 2*q - 9. Let o be n(6). Suppose o*l - 51 = -21. What is the units digit of l?
0
Let p(v) = 172*v**2 + 3*v + 3. What is the hundreds digit of p(-1)?
1
Let i(x) = x**2 - x + 2. Let j be i(0). Suppose -6*s + 32 = -j*s. What is the units digit of s?
8
Suppose 3*h + 40 - 223 = 4*p, -4*p + 337 = 5*h. What is the tens digit of h?
6
Suppose -235*k + 234*k = -162. What is the hundreds digit of k?
1
Let i(o) = o + 2. Let l be i(1). Suppose 3*q - 9 = 3. Suppose -2*x - q*g = -l*x - 10, 20 = 4*x + 4*g. What is the units digit of x?
2
What is the units digit of ((-210)/63)/((-2)/15)?
5
Let x(b) = -b**2 - 7*b - 3. Let i be x(-3). Suppose -g - 6 = 3. What is the units digit of (-2)/g - (-7)/i?
1
Let x(y) = y**3 - 2*y**2 - 5*y - 3. What is the hundreds digit of x(7)?
2
Let f(q) be the third derivative of q**4/12 + q**3/6 - 5*q**2. What is the units digit of f(11)?
3
What is the tens digit of (11*(0 + -3))/(-1)?
3
Let t = 60 - -33. What is the tens digit of (-2 + 5)*t/9?
3
What is the units digit of ((-2)/4)/((-5)/120)?
2
Let m(u) = u**2 + 7*u + 2. Suppose -3*l - 16 = 23. Let b = l + 6. What is the units digit of m(b)?
2
Let x be 90/(-21) + 2/7. Let o be 2/x*0 + 2. Let a(w) = w**3 - 4*w + 3. What is the units digit of a(o)?
3
Let i(t) be the third derivative of 11*t**6/120 + t**5/60 - 2*t**2. Let u be i(1). Suppose 0 = -4*h + 2*h + u. What is the units digit of h?
6
Suppose 4 = -2*t - 2*t. Let x be t - -1*(0 + 8). Suppose 4*u = 2*j - 6, -2*j + x = -0*j - 5*u. What is the units digit of j?
1
Suppose -20 = -9*p + 5*p. Suppose -h + 4*z - 86 = -6*h, h + 3*z - 15 = 0. Suppose -20 = -p*a - 5, -h = -y - 3*a. What is the units digit of y?
9
Let i be 0 + 3 - (-9 - -10). Suppose 100 = i*p + 3*p. What is the units digit of p?
0
Suppose 7*o + 2*t - 261 = 2*o, 0 = 2*o - 3*t - 93. What is the tens digit of o?
5
Let o(l) = l**3 + l**2 + 4. Let h be o(0). Let t(m) = -m + 1. Let s be t(3). What is the units digit of ((-6)/h + -1)*s?
5
Let | {
"pile_set_name": "DM Mathematics"
} |
d by x?
8
Let v be (-6)/(-15) + (-186)/15. Let b = v - -81. Suppose -5*l + 1 + b = 0. What is the remainder when l is divided by 4?
2
Suppose 14*a = 10*a + 5*n + 116, 3*n + 87 = 3*a. What is the remainder when 326 is divided by a?
7
Let c = -498 - -542. What is the remainder when 180 is divided by c?
4
Let s be (-1)/3*(1 - 22). Let b = 197 + -193. Suppose b*p - s = 9. What is the remainder when p is divided by 2?
0
Let z = 15 - 0. Suppose -8*p = -z - 17. Calculate the remainder when p is divided by 2.
0
Suppose -2*j - 2*t + 7*t - 46 = 0, -2*t = -4. Let o be -1 - -22*(-3)/6. Let q = o - j. What is the remainder when 21 is divided by q?
3
Let t(d) = -4*d + 2*d**2 - 1 + 3*d + 4*d. Calculate the remainder when t(4) is divided by (55/110)/((-2)/(-72)*2).
7
Let b(d) = 10*d - 155. Suppose -4*j - j + 2*s + 100 = 0, 0 = 2*j - 4*s - 56. Let m = -12 + j. What is the remainder when b(17) is divided by m?
3
Let h = 6 - -4. Suppose -h = 3*t - 8*t. Suppose 2*x + 5*c + 0 = 46, -t*x + 5*c = -26. Calculate the remainder when 53 is divided by x.
17
Let x = 1214 - 622. What is the remainder when x is divided by 17?
14
Let h = 109 - 104. Calculate the remainder when 109 is divided by (1 - -3) + h/((-5)/(-4)).
5
Let t = 77 + -74. Suppose t*d - 18 - 24 = 0. What is the remainder when d is divided by 3?
2
Calculate the remainder when 58 is divided by 46/((1 - -1)*1).
12
Suppose 4*n + 116 = -0*n. Let c = n + 56. What is the remainder when c is divided by 4/(-2) - 51/(-3)?
12
Let w = 8 - -10. Calculate the remainder when 24 - ((-16)/(-4) - 14) is divided by w.
16
Suppose -107 + 387 = -4*q. Let k = 96 + q. What is the remainder when 50 is divided by k?
24
Let y(q) = 12*q**3 + 4*q**3 - 17*q - 9*q**2 - 8 - 17*q**3. Calculate the remainder when 37 is divided by y(-7).
11
Let k(z) = -108*z - 753. Calculate the remainder when 105 is divided by k(-7).
0
Suppose u = -0*u + 47. Suppose -4*k = -0*k + 80. Let h = k + u. Calculate the remainder when h is divided by 7.
6
Suppose -5*t + g + 5 = 0, -2*g - 13 = 5*t - 3. Let n(w) = w**2 + 6. Calculate the remainder when 11 is divided by n(t).
5
Suppose 87*a - 77*a - 500 = 0. Calculate the remainder when 324 is divided by a.
24
Suppose h - 45 = -3*p + 5, -4*h = 16. What is the remainder when 1313 is divided by p?
17
Let k(a) = a**2 + 5*a - 1. Suppose -4*p + t = 177, -5*p - 28 - 193 = -t. Let n be (-11)/p*(-12)/(-1). What is the remainder when 67 is divided by k(n)?
21
Let l = 35 + -35. What is the remainder when 14 is divided by (4 + l)*(-99)/(-44)?
5
Let g be 31376/30 + -6 + 4/30. Suppose 15*m - g = 2*m. Calculate the remainder when m is divided by 21.
17
Suppose 0 = 310*x - 309*x - 317. Calculate the remainder when x is divided by 53.
52
Let f be (1/2)/((-2)/16). Let q(r) = 2*r + 5. Let y(t) = 3. Let m(s) = -6*q(s) + 11*y(s). Calculate the remainder when m(f) is divided by 13.
12
Let y = -828 + 1458. Suppose -255 - y = -5*v. What is the remainder when v is divided by 15?
12
Let q(t) = t**2 - 5*t - 6. Suppose -3*z - 3 = w - 24, 0 = w. Let f(y) = y**2 + 35*y + 327. Calculate the remainder when f(-17) is divided by q(z).
5
Let f = -491 + 619. Suppose 0 = 2*o - 2 - 24. What is the remainder when f is divided by o?
11
Let k(t) = -t**2 - 12*t + 22. Suppose 2*l = -3*x + 38, 2*x - 5*l - 47 = -2*l. Calculate the remainder when k(-10) is divided by x.
10
Suppose 7*c + 2 = 8*c. Calculate the remainder when (7 + -8)/(c/(-86)) is divided by 11.
10
Let x = 9 - 6. Suppose -2*d + 3*n = -d - 2, -2*n = -x*d + 34. Let v(u) = 14*u**2 + 3*u + 3. Calculate the remainder when v(-2) is divided by d.
11
Suppose 20*o - 30*o = -1570. Calculate the remainder when o is divided by 45.
22
Let m(c) = c**3 + 14*c**2 + 26*c - 3. Let g be m(-12). Calculate the remainder when 65 is divided by (-6)/g + 302/18.
14
Let g = -228 - -299. What is the remainder when g is divided by 13?
6
Suppose -2*l - f + 7 = l, 0 = -5*f - 25. Suppose 0 = 2*x - 8, l*o + o + 2*x - 138 = 0. What is the remainder when o is divided by 8?
2
Let y be 21/7*15*1. Let j = 71 - y. Suppose 0 = -g - 5 + 19. What is the remainder when j is divided by g?
12
Let u = 46 - 17. Suppose -3 = -23*j + 20*j. Let c(o) = 10*o**3 + 3*o**2 - 3*o + 1. What is the remainder when u is divided by c(j)?
7
Suppose 19*j + 1250 = 29*j. What is the remainder when j is divided by 44?
37
Suppose -3*c - 4*m + 16 = 0, 3*c + 2*m - 7 = 1. Suppose j + 198 = 5*j - 2*t, -4*j - 4*t + 168 = c. Let p = j - 32. What is the remainder when p is divided by 9?
6
Let m(j) = 8 - 6*j + j**2 + 3*j + 8 - 5. Let i(n) = -n**3 + 7*n**2 - 6*n + 2. What is the remainder when m(9) is divided by i(5)?
21
Suppose -63 = 4*h - q - 1293, -q + 1533 = 5*h. What is the remainder when h is divided by 77?
76
Suppose -5*z + 0 = 25, 0 = -q + 4*z + 44. What is the remainder when q is divided by 14?
10
Suppose 5*j - 3*v = 33, -5*v = -j + 3*j - 7. Calculate the remainder when 9 is divided by j.
3
Let g(t) = -t**3 + 7*t**2 + 9*t + 13. Calculate the remainder when g(8) is divided by 17.
4
Suppose 0 = t - 6*t. Suppose t = m + 4*m - 30. Calculate the remainder when m/8 - (-153)/4 is divided by 20.
19
Suppose -3*d = 16 - 13, 4*d = -3*o + 1127. Calculate the remainder when o is divided by 95.
92
Suppose 0 = -l + 9 + 11. Let r(d) = d**2 + 3*d - 4. Let c be r(-3). Let w = c + 15. What is the remainder when l is divided by w?
9
Let d(a) = -32*a + 101. Let p = -121 + 195. Calculate the remainder when p is divided by d(3).
4
Suppose -2*r + 5 = 2*v - 9, 0 = -2*v - 4*r + 24. Suppose -531 = 11*q - 608. Calculate the remainder when q is divided by v.
1
Let o(n) = n + 6. Let l be o(-2). Suppose t = l*i + i + 16, -3*t = 5*i + 32. Calculate the remainder when (-2)/t - 18/(-4) is divided by 3.
2
Suppose 0 = -17*c + 192 + 505. What is the remainder when 170 is divided by c?
6
Suppose -5*r + 59*s - 61*s = -1048, 0 = 5*r + 3*s - 1047. Calculate the remainder when r is divided by 12.
6
Let f(o) = 5*o**3 - 19*o**2 + 17*o - 5. Calculate the remainder when f(7) is divided by 20.
18
Suppose 10*g - 40 = 120. Suppose -46 = -k - 16. What is the remainder when k is divided by g?
14
Suppose 5*o + 2 = 2*n, -2*o - 16 = -4*n + 4. Let m = 8 - -7. Suppose -m = c - n*c. Calculate the remainder when 11 is divided by c.
2
Suppose 3*f = 82*f - 5688. Calculate the remainder when 141 is divided by f.
69
Let n(f) = 18*f**2 - 43*f - 12. Calculate the remainder when 83 is divided by n(3).
20
Suppose 70*d - 450 = 60*d. Calculate the remainder when 538 is divided by d.
43
What is the remainder when ((-1)/(-4))/(35/101780) is divided by 52?
51
Suppose 4*j = -3*f + 313, -5*f + 210 = -3*f + 3*j. Let t be 5/(1464/744 + 1 + -3). Let q = t + 175. Calculate the remainder when f is divided by q.
19
What is the remainder when (0 + -1)/((-14)/2982) is divided by (7 + 2)/(-12*4/(-128))?
21
Let a be 2 + 2 + (-354)/(-3). Let o = -49 + a. Suppose 0 = 4*z + 2*n + 2 - 76, -2*z + 2*n + 40 = 0. Calculate the remainder when o is divided by z.
16
Let u = -1417 + 1428. What is the remainder when 745 is divided by u?
8
Let q = 49 - -70. What is the remainder when q is divided by 11?
9
Let p = 24 - 33. Let v be ((-24)/54)/(2/p). Suppose -6*f + 108 = -v*f. Calculate the remainder when f is divided by 7.
6
Let r = 4 - 5. Let d = 5 - r. Let j = -826 - -828. What is the remainder when d is divided by j?
0
Suppose -r - 19 = -m, 3*m - 8 = -2*r + 34. Let k be 3*(-2 + 0)*-47. What is the remainder when (-2)/(-3)*k/4 is divided by m?
15
Suppose -3*c + 143 = b, -3*c + 0*c + b + 133 = 0. Let a = 70 - c. What is the remainder when a is divided by 13?
11
Suppose 651*w + 6 = 652*w. What is the remainder when 173 is divided by w?
5
Let z = 27 + -4. Suppose -4*x - 4*f + 12 = 0, 0 = -x - f - f + 1. What is the remainder when z is divided by x?
3
Let c(x) = -x**2 + 11*x - 5. Let f be c(10). Let z(u) = 3*u**2 - 11*u + 3. Calculate the remainder when 91 is divided by z(f).
22
Let l(v) = v + 24. Calculate the remainder when 136 is divided by l(-9).
1
Let d(i) = 23*i**3 + 4*i + 3. Let m be d(-1). Let p = m - -36. Calculate the remainder when 34 is divided by p.
10
Let w be (4/10)/((-1)/(-20)). Suppose 2*c - c = w. What is the remainder when 14 is divided by c?
6
Suppose a - 13 = 2*f, 2*a + 6*f - 3*f + 9 = 0. Let q = -12 - 2. Let y = -5 - q. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
rt(475)))**2.
-120*sqrt(19) + 133619/16
Simplify ((sqrt(84)/sqrt(12) + sqrt(7))*3*-2*6 + (sqrt(105)/(sqrt(9)/sqrt(3)))/((-1*sqrt(60))/sqrt(12) - sqrt(5)))**2*-3.
-441525/4
Simplify (1*(6*sqrt(1331)*-1*-2*1 - (sqrt(1331) + -4 + (sqrt(1331) + 2 - sqrt(1331)) + sqrt(1331) - (sqrt(1331) - (3 + -1 + sqrt(1331))))))**2.
133100
Simplify -4 + ((4*2*sqrt(156))/sqrt(12) + 0 - (-1 + sqrt(637) + (0 + sqrt(13) + -2 - sqrt(13)) + sqrt(13))**2).
-845 + 56*sqrt(13)
Simplify -3 + sqrt(119)/(sqrt(28) + sqrt(1792) + sqrt(7)) + 6*(sqrt(136) + 2*(sqrt(136) + (sqrt(136)*5 - sqrt(136)) - sqrt(136)))/sqrt(8).
-3 + 1027*sqrt(17)/19
Simplify ((1*sqrt(6)*-6 - (sqrt(6) - (2*sqrt(384) + sqrt(384))))/(1*(sqrt(2) + (sqrt(64)/sqrt(4))/sqrt(8)))*-5 + -3)**2.
255*sqrt(3) + 21711/4
Simplify (4*(-3*sqrt(88)*2 + sqrt(88)))/(5*(-1*sqrt(128) - sqrt(128))) + -2.
-2 + sqrt(11)/2
Simplify (5*(sqrt(99) - -2*sqrt(99)) + sqrt(99) + 4*-2*sqrt(99))/(3*-1*sqrt(324)) + -5.
-5 - 4*sqrt(11)/9
Simplify (-1*sqrt(4455) + sqrt(55) + (sqrt(660)*1)/sqrt(12))/((sqrt(99) + -2*-1*sqrt(99) - sqrt(99)) + (-5*1*sqrt(99) - sqrt(99))).
7*sqrt(5)/12
Simplify (4*-3*(sqrt(156) - (sqrt(156) - ((sqrt(156) - sqrt(156)*-1*-5 - sqrt(156)) + sqrt(156)))))/((-1*sqrt(108)*3)/(sqrt(9) - -1*sqrt(81))).
-64*sqrt(13)
Simplify (-1*(-4 + sqrt(3)))**2 + (sqrt(3) - sqrt(21)/sqrt(28) - sqrt(3))**2 - (sqrt(324)/(sqrt(12)*-1))/(sqrt(144)*1).
-31*sqrt(3)/4 + 79/4
Simplify ((sqrt(2058) + (sqrt(2058) - 3*sqrt(2058)) - sqrt(2058))*4*2)/(5*sqrt(42)/(-3*sqrt(112))).
1344*sqrt(7)/5
Simplify (1*(5 + sqrt(1539) + sqrt(1539)*-3))**2 - (sqrt(19) + -6*(0 + sqrt(19)) + 2*sqrt(304))**2.
-180*sqrt(19) + 6010
Simplify -6*(-5 + (3*sqrt(720) + sqrt(720) - sqrt(720))**2 + sqrt(5)) + 3*(-2 + (sqrt(720) - (-4 + sqrt(720)))).
-38844 - 6*sqrt(5)
Simplify (0 + -1*sqrt(1053)*-2 + (sqrt(78)*2*-2)/(sqrt(6) - (-1*sqrt(96) - sqrt(6))))**2 + 4.
35188/9
Simplify (6*(sqrt(525) - (sqrt(525) + sqrt(525) + -1*sqrt(525)*6 + sqrt(525))))/(-6*-1*sqrt(300)*-1).
-2*sqrt(7)
Simplify (5*(2*sqrt(175) + 1 + -5 - (-3 + sqrt(175) + 3 + 2)))**2.
-1500*sqrt(7) + 5275
Simplify (((sqrt(170)*2 - sqrt(170))*-4 - sqrt(170)*1*2)*-2)/(-1*(sqrt(10) - (sqrt(10) + sqrt(10)*2*-3) - sqrt(10) - sqrt(10))*-6) + -1 + 1.
sqrt(17)/2
Simplify (-3 + -2 + sqrt(19)*2*6 + (sqrt(19) - (sqrt(228)*1 - sqrt(228))/sqrt(12))*4 + 1 + -1)**2.
-160*sqrt(19) + 4889
Simplify (((sqrt(204) - -1*sqrt(204) - sqrt(204))*2 + sqrt(204) + sqrt(204))/(sqrt(4)*-1*4))/((sqrt(192)*-1 - sqrt(192))*1*-4).
-sqrt(17)/64
Simplify (-1*-1*(sqrt(68) + sqrt(17)))**2 + 1 + 4 + -2*sqrt(17) + sqrt(17) + -3 + -4.
-sqrt(17) + 151
Simplify -1*(((sqrt(72) + sqrt(72) + 2*sqrt(72))/sqrt(8) - ((sqrt(90)/(2*sqrt(10)) - sqrt(9)) + sqrt(9)))/(sqrt(243)*4))**2.
-49/1728
Simplify -1 + (-2 + (1 + sqrt(1300))**2 - (-1*(1 + sqrt(1300)) + sqrt(1300))) - (sqrt(364) - 5*(sqrt(364) + sqrt(364)*2 + sqrt(364) - sqrt(364)))/(sqrt(28)*1).
34*sqrt(13) + 1299
Simplify 6*-6*(1*(4 + (-2*sqrt(11))**2) - (-4 + (sqrt(1331) - (sqrt(1331) - -2*sqrt(1331))))**2).
6336*sqrt(11) + 190512
Simplify (sqrt(98) + -2 + sqrt(98) + -2 + -1)**2 - ((sqrt(8)/(sqrt(32)/(sqrt(48)/sqrt(6))))**2 + -3).
-140*sqrt(2) + 418
Simplify (((sqrt(450) - -2*sqrt(450)*1)/sqrt(9))/((-1*-5*sqrt(70))/sqrt(7)) + 0)**2.
9/5
Simplify -5 + (3*sqrt(77)*-2 + sqrt(77)*1*1 + sqrt(77))/(sqrt(21)/sqrt(3)*-5 + (sqrt(252) - (-2*sqrt(252) + sqrt(252) + sqrt(252)))) + -1.
-4*sqrt(11) - 6
Simplify (-1*6*(sqrt(7) + sqrt(63)/sqrt(9))*-5 + ((-2 + -5 + sqrt(448))*4)**2)*-1.
-7952 + 1732*sqrt(7)
Simplify ((sqrt(96)*-2 + (sqrt(6) - (sqrt(6) - sqrt(12)/sqrt(2) - sqrt(6))*-1))/((2*sqrt(21))/sqrt(7) + (sqrt(15)/sqrt(5) + sqrt(3))*-3))**2.
8
Simplify (2 + -1 + ((-1 + sqrt(1700) + 2)*4 + -3 + sqrt(1700) + -1 + 1 + sqrt(1700))**2)*-5.
-306010 - 600*sqrt(17)
Simplify (3*sqrt(75) + 5 - (sqrt(75) + -3 + sqrt(75) + sqrt(75))*-4)**2 - (2*((sqrt(75) + 1 - sqrt(75)) + 3)*-1)**2.
-1050*sqrt(3) + 16860
Simplify ((sqrt(364)/(sqrt(56)/sqrt(8)*2))/(sqrt(216)/(-5*sqrt(6))))**2.
325/36
Simplify 1*(4 + (sqrt(1216) - (-2*sqrt(1216))**2))*-6 + (sqrt(1216) - (-3*sqrt(1216) + -2 - sqrt(1216))**2 - (3*(sqrt(1216)*-1 - sqrt(1216)) - sqrt(1216))).
-112*sqrt(19) + 9700
Simplify (sqrt(57)/(sqrt(12)/(sqrt(4)*1 + sqrt(4))) + 0 + (-4*sqrt(475) - (sqrt(684) + -2)))*6*-2.
-24 + 288*sqrt(19)
Simplify (-3 + sqrt(7) + 1)**2 - 4*4*sqrt(7) - 3*(2 + sqrt(847)*3).
-119*sqrt(7) + 5
Simplify -3 + (sqrt(363)*5 - sqrt(363))*1 + (sqrt(300) - (-1 + sqrt(300)) - sqrt(300))**2*6*6.
-676*sqrt(3) + 10833
Simplify -6*((sqrt(153) - -2*sqrt(153) - sqrt(153)) + sqrt(34)/sqrt(2) + -3 + (4*1*sqrt(85))/sqrt(5))*-5*5 + -4.
-454 + 1650*sqrt(17)
Simplify 4*(-3*-6*sqrt(8)/sqrt(2))/(sqrt(8)/(-1*sqrt(4)) + sqrt(2) + sqrt(2) + sqrt(32)*-1) + 0.
-24*sqrt(2)
Simplify -2*(sqrt(75) - (sqrt(75) + 2 + sqrt(75)))**2*-4 + sqrt(108)*3 + sqrt(108) + -2 + 2.
184*sqrt(3) + 632
Simplify 4*(-6*(1*sqrt(171) + sqrt(171) + -1 - sqrt(171)*-2*4))**2*-1.
-2462544 + 8640*sqrt(19)
Simplify 4 + (2 + sqrt(675) + sqrt(675) + -1 - (sqrt(108)/sqrt(4) + sqrt(27))**2*3*-1).
30*sqrt(3) + 329
Simplify -4*(((-4*(-1*sqrt(2736) - sqrt(2736)) - sqrt(2736)) + 1)**2 - (sqrt(1539) + -4 - 3*sqrt(171))**2).
-536196 - 672*sqrt(19)
Simplify ((sqrt(24)/sqrt(32) + (sqrt(144)/sqrt(6))/sqrt(8))*1)**2 + (sqrt(3) + sqrt(75)*-2 - (sqrt(300) + 2*sqrt(300))**2) + -4.
-10789/4 - 9*sqrt(3)
Simplify 0 + (-4*(sqrt(128)*-2 + -3 + sqrt(128)*-1 + 0))**2 + -4 + -2*-1*(2*sqrt(128))**2.
2304*sqrt(2) + 19596
Simplify (-2*sqrt(1539) + 2 - ((sqrt(1539) - (1 + sqrt(1539) + -4))**2 + sqrt(1539))) + 1 - (sqrt(57)/(sqrt(243)*2 + sqrt(243)) - (sqrt(475)*1*3)**2).
-730*sqrt(19)/27 + 4269
Simplify (-2*(sqrt(450)*1 + sqrt(450)) - -1*sqrt(450)*2)/((-1*-1*sqrt(80) + sqrt(80))/(sqrt(88)/(sqrt(11)*2))).
-3*sqrt(5)/2
Simplify (sqrt(968) + -1)**2*6 + (sqrt(24) - (sqrt(24) - -1*sqrt(600)))/(sqrt(12)*1*-2).
-523*sqrt(2)/2 + 5814
Simplify (((-2*sqrt(363) - sqrt(363))*3)/(sqrt(44) + sqrt(44)*1))/(sqrt(192)*-1 + sqrt(3)*-1*-2).
3*sqrt(11)/8
Simplify (sqrt(540)/sqrt(12) + -3 + sqrt(5)*-6 - (5 + (sqrt(245) - (sqrt(245)*-2 + sqrt(245) + sqrt(245))) + -4))**2.
80*sqrt(5) + 516
Simplify (((-3*(-1 + sqrt(171) + -5))**2 - (sqrt(171) + 1*sqrt(171)*-2 + -5)**2) + 4)*2.
-708*sqrt(19) + 3342
Simplify ((-6*sqrt(175)/sqrt(5)*-3*-5)/((1*sqrt(3500) + sqrt(35))/(-2*sqrt(245))))**2.
7938000/121
Simplify (1*(sqrt(18) + (sqrt(18) - sqrt(144)/sqrt(32)) + sqrt(18)))/(sqrt(36)/sqrt(1944)) + 4.
4 + 45*sqrt(3)
Simplify (1*(5*(sqrt(77) + -2*sqrt(77)) - (sqrt(77) + sqrt(77) + (sqrt(77) - 2*sqrt(77)*3)))*5)/((sqrt(784)*-3)/((sqrt(42)/sqrt(6) + sqrt(7) + sqrt(7))*5)).
25*sqrt(11)/2
Simplify (6*(sqrt(91)*2*6 - -2*sqrt(91)*3))/(((-1*sqrt(1764) - sqrt(1764)) + sqrt(1764))/(sqrt(28)/(sqrt(20)/sqrt(5)))).
-18*sqrt(13)
Simplify (sqrt(650) + -2*sqrt(650)*-3 + sqrt(650) + sqrt(650) + sqrt(650) + (sqrt(650) - (-3*sqrt(650)*2 - sqrt(650) - sqrt(650))))/(-3*-2*sqrt(18)*-5).
-19*sqrt(13)/18
Simplify 3*6*((-3*(0 + sqrt(75)))**2 + sqrt(162)/sqrt(6) + (sqrt(3) - (sqrt(3)*1 + 1))**2)*-4.
-48672 - 216*sqrt(3)
Simplify (2*(-2 + sqrt(7)) + (sqrt(7) - (sqrt(7) + 1*sqrt(700))**2))*-5 - (((sqrt(70) - sqrt(70)*2)*-3)/(1*sqrt(40)))**2.
-15*sqrt(7) + 16957/4
Simplify (-6*(sqrt(171) + sqrt(171)*-3 + sqrt(171))*-1*-5)/(-2*(sqrt(900) + sqrt(900)*-1) - 2*sqrt(900)*5).
-3*sqrt(19)/10
Simplify 2 + -6*(-2*sqrt(1372)*-3*3 + 3*(sqrt(1372) + 0) + 3 + 1)**2.
-3630406 - 14112*sqrt(7)
Simplify (5 + ((sqrt(1700) - (sqrt(1700) + sqrt(1700)*1 + -2 + sqrt(1700))) + sqrt(1700) - (sqrt(1700)*2 + -3 + sqrt(1700))) + -1*(3 + -2*sqrt(1700))*6)**2.
-1280*sqrt(17) + 108864
Simplify (2 + -1*(-1 + sqrt(425) - sqrt(425)) - (1*sqrt(272) + sqrt(17) + 3 + 0 + sqrt(17)))**2.
612
Simplify 1 + ((sqrt(99) - (sqrt(99)*3 + sqrt(99))*1 - (sqrt(99) + sqrt(99)*-1*2))/(sqrt(108)/(sqrt(3) + sqrt(9)/(sqrt(15)/sqrt(5)) + sqrt(3))))**2.
100
Simplify -4*((-3*(5 + -1*sqrt(80)))**2 + sqrt(50)/sqrt(10) + 2 + sqrt(605) + -4).
-3772 + 1392*sqrt(5)
Simplify (1 + (-2*(sqrt(784)*3 - (sqrt(1225) + sqrt(1225)*2 + sqrt(1225))))/(((sqrt(504) + sqrt(504)*2)/sqrt(12))/(2*sqrt(12)/sqrt(2))))**2.
64*sqrt(7)/3 + 7177/9
Simplify ((-4*sqrt(200) + 2 - (-5*sqrt(200)*1 - sqrt(200)))*-1*6)**2*-4.
-115776 - 11520*sqrt(2)
Simplify ((2*sqrt(128) + -5)*-2*-1 - (-5 + sqrt(128)*-4 | {
"pile_set_name": "DM Mathematics"
} |
288)/(-2*sqrt(972)))/(((2*sqrt(72) + sqrt(72) - sqrt(72))/sqrt(4))/sqrt(9)) + 5.
-sqrt(3)/18 + 5
Simplify (0 + sqrt(252) + -1 + (sqrt(252) - (sqrt(252) - (-1 + -1*sqrt(252)))) - (2*sqrt(252)*1 - (sqrt(252) + 2)*-4))**2*-1.
-9172 - 720*sqrt(7)
Simplify ((sqrt(119) - (1*sqrt(119)*-5 - sqrt(119)) - 2*-2*sqrt(119))*-1)/(6*sqrt(70)/(sqrt(50)/sqrt(5))*-4).
11*sqrt(17)/24
Simplify ((((sqrt(156) - (sqrt(156) + sqrt(156) + -4*(sqrt(156) - 5*sqrt(156)))) + sqrt(156) - sqrt(156))*-1)/((sqrt(72)/sqrt(3))/sqrt(2) + -1*sqrt(768))*1)**2.
3757/49
Simplify 4*((sqrt(1100) - sqrt(1100)*2) + sqrt(1100) + sqrt(1100) + 5 + -4)**2 + (sqrt(99)*5 - sqrt(44)*-4)*4.
172*sqrt(11) + 4404
Simplify -1*4*((4 + sqrt(75) + -4 - sqrt(75)) + sqrt(75) - (((sqrt(75) + -2 + sqrt(75) + sqrt(75))**2 - sqrt(75)) + -5)).
-280*sqrt(3) + 2696
Simplify -6*(sqrt(27)/sqrt(144))**2 + (-4 + sqrt(243)*1)**2 + 2*(sqrt(363) + -3 + (sqrt(363) - sqrt(363)*-2)**2 + sqrt(363) - 2*(-1 + sqrt(363))).
-72*sqrt(3) + 54319/8
Simplify (((sqrt(420) + (sqrt(420) - 6*(sqrt(420) - (sqrt(420)*-2 - sqrt(420))) - sqrt(420)))/sqrt(7))/(sqrt(50)/(3*sqrt(10)*-5)))**2.
1428300
Simplify (3 + 0 + sqrt(343) - (sqrt(343) + -1)*-5 - -2*(-3 + sqrt(343))*1) + -5 + 4.
-9 + 56*sqrt(7)
Simplify (((sqrt(275) - (1 + 5*sqrt(275))) + sqrt(275))*-2 - (4 + 4 + 4*sqrt(275) + sqrt(275)))**2.
-60*sqrt(11) + 311
Simplify (sqrt(720) - (sqrt(720) - (sqrt(720) + -1 + sqrt(720) - sqrt(720))**2*-1) - sqrt(720) - (sqrt(720) - (-4*sqrt(720)*-2)**2)) + (-2*-1*-2*sqrt(500))**2.
53359
Simplify ((4*3*sqrt(832) - 4*sqrt(832)*-3) + -4 + (-5 + sqrt(832) + sqrt(832) + 1 + sqrt(832) + 5 - (-3*(0 + sqrt(832)) - (3 + sqrt(832)*-2))))**2.
652288
Simplify (-5*sqrt(12)/sqrt(6))**2 + sqrt(22)/(sqrt(11)*-3) + -4*(sqrt(128) - sqrt(2))*-1 + 2.
83*sqrt(2)/3 + 52
Simplify -5*(-2 + (2*(sqrt(38) + -1*sqrt(38)) - -1*sqrt(152))/((sqrt(112)/sqrt(2) + sqrt(56))/sqrt(7))).
-5*sqrt(19)/2 + 10
Simplify 3*sqrt(425) - sqrt(85)/(sqrt(5) - -3*sqrt(5)) - -6*(5 + ((sqrt(17) + 1)*-3 - sqrt(17)))**2.
-325*sqrt(17)/4 + 1656
Simplify (((-2 + sqrt(1008) + 1 - (2 + sqrt(1008)*-1)) + (1*((2*sqrt(1008) - sqrt(1008)) + sqrt(1008)) + -4 + (sqrt(1008)*-2 - sqrt(1008)))*4)*-3)**2.
8208*sqrt(7) + 39537
Simplify (-6*sqrt(1960) + ((sqrt(160)*3 - sqrt(160) - sqrt(160)) + sqrt(160))/sqrt(4))/(5*sqrt(88)/(sqrt(44)/sqrt(4)*-5)).
40*sqrt(5)
Simplify ((3*(6*sqrt(91)*3 - -3*(2*sqrt(91) + sqrt(91))))/(4*(-2*sqrt(7)*4 + (sqrt(63)/(sqrt(9) + sqrt(9)*-3 - sqrt(9)) - sqrt(7)))))**2.
767637/12544
Simplify (-5*-1*sqrt(152) - sqrt(152)*5*-2)/(sqrt(800) + (4*(sqrt(800)*-1 - sqrt(800)) - sqrt(800)) + 1*(sqrt(800)*-1 - sqrt(800)) + sqrt(800)).
-sqrt(19)/6
Simplify (2*(1*sqrt(312) + sqrt(312))*6)/(-4*1*sqrt(216)).
-2*sqrt(13)
Simplify ((1*sqrt(896) + sqrt(126)/sqrt(36))*-6)/((1*(sqrt(560) - sqrt(35)) - sqrt(35))/(sqrt(405) + 1*sqrt(405) + sqrt(405))).
-1377*sqrt(2)/2
Simplify (4 + 2*(5 + (-1 + sqrt(605) - sqrt(605)) + 2*sqrt(605)*1)*-5*-1*3)**2.
163680*sqrt(5) + 2193376
Simplify (2 + (sqrt(700)*-1)**2 - (-5 + -1*sqrt(700))**2) + 4*(sqrt(567) - sqrt(567)*1)**2 + 2.
-100*sqrt(7) - 21
Simplify ((sqrt(425) + -4 + sqrt(425) - sqrt(425))*-3*6 + (sqrt(85) + 5*sqrt(85)*1)/(sqrt(5) + sqrt(1375)/sqrt(11)))**2.
-12816*sqrt(17) + 139841
Simplify (-3*((-1*sqrt(72) + sqrt(72))*4 + sqrt(72) - 5*sqrt(72)*-2)/(sqrt(36)/(sqrt(6) - sqrt(24)) + sqrt(6) - ((sqrt(126)/sqrt(3))/sqrt(7) + sqrt(6))))**2.
3267
Simplify (0 + ((0 + sqrt(396) + 2 + sqrt(396))*3 - (2 + 0 + sqrt(396) + sqrt(396))*5) + 4)**2.
6336
Simplify 0 + -5*sqrt(68)*1*-1 + 4 + ((sqrt(68) + (sqrt(68) - sqrt(68)*-2 - sqrt(68)) + -1 + sqrt(68))*-3)**2.
-134*sqrt(17) + 9805
Simplify -4 + ((-4*(1*sqrt(126)*-2)/sqrt(2))**2 - (1*(sqrt(63) + sqrt(2268)) - 3*(sqrt(63) + 1))).
-12*sqrt(7) + 4031
Simplify (-2 + sqrt(144)/(5*sqrt(60)/sqrt(5))*4 + ((sqrt(96) - (-2*sqrt(96) - sqrt(96)))*-5)/(sqrt(128)/sqrt(4)))**2.
368*sqrt(3)/5 + 25492/25
Simplify -2 + (3 + (4 + sqrt(847) + 0 + 4 + 3)*-3*5)**2.
53460*sqrt(7) + 216817
Simplify (3 + -2 + (-4*(-2*sqrt(275) + 4) - (1 + (0 + sqrt(275) - sqrt(275)) + 1 + 2*sqrt(275))) + 3)**2.
-840*sqrt(11) + 10096
Simplify (-3 + sqrt(13)*3)*2*-2 - -6*(1 + 2*sqrt(13))**2*-5.
-1578 - 132*sqrt(13)
Simplify ((sqrt(144)/(3*sqrt(8)) - -2*sqrt(288))/((sqrt(294) + 2*(2*sqrt(294) + sqrt(294) + sqrt(294)))*6))**2 + 2.
857929/428652
Simplify (-5*6*(sqrt(88) + 3*(sqrt(88) - ((sqrt(88) - sqrt(88)*4 - sqrt(88)) + sqrt(88)))))/(2*(-3*sqrt(80)*4)/sqrt(10)).
65*sqrt(11)/4
Simplify (sqrt(216)*4)/(sqrt(3) + (sqrt(3) - sqrt(243)*-2))*-3*-6.
108*sqrt(2)/5
Simplify (-1*(5 + 5*(sqrt(17) - (sqrt(17) + sqrt(153)*1) - (sqrt(17) - (sqrt(17) - (sqrt(17) - (sqrt(17) + 5*sqrt(17)*1))) - sqrt(17))))*-5)**2*-5 + 5.
-481245 - 18750*sqrt(17)
Simplify (sqrt(336)/sqrt(432) + (sqrt(28) - (sqrt(168)/(sqrt(24)/sqrt(4)) + sqrt(28))))/((sqrt(256) + sqrt(256)*-6)*3).
sqrt(7)/144
Simplify (-5*(-3 + sqrt(208) + -3 + sqrt(208) + sqrt(208)) + sqrt(208) + -1 + sqrt(208)*-4 + 0)**2.
-4176*sqrt(13) + 68233
Simplify (sqrt(1584) - (4 + sqrt(1584)*4 + sqrt(1584))**2 - sqrt(1584)) + 3 - (5 + ((sqrt(396) + sqrt(396)*-2)*-4)**2).
-45954 - 480*sqrt(11)
Simplify (-3*(sqrt(85) + 3*(sqrt(85) + 2*sqrt(85) + sqrt(85)) + 2*sqrt(85)*-2 + sqrt(85)))/(6*3*sqrt(180)*-3).
5*sqrt(17)/54
Simplify (1 + (sqrt(396) - (4*1*sqrt(396))**2) - (4*(sqrt(121) + 2*sqrt(121) - sqrt(121) - sqrt(121)))/(sqrt(1100)*1 + sqrt(11))) + 1.
-6334 + 62*sqrt(11)/11
Simplify ((sqrt(135)*2 + sqrt(165)/(-2*sqrt(11)))*2)/((sqrt(81) - (sqrt(81) + 1*sqrt(81)*-3))/sqrt(3)).
11*sqrt(5)/9
Simplify -1 + (sqrt(99)*-1 + 3 + (0 + sqrt(99) - sqrt(99))**2*5 + -3 - (3*-3*(sqrt(99)*-1 + 1 - sqrt(99)))**2).
-32158 + 969*sqrt(11)
Simplify (-1 + (sqrt(30)/sqrt(3)*-3)/(sqrt(45)/(sqrt(72)/sqrt(8) + sqrt(9) - sqrt(9))) + -1)**2.
12*sqrt(2) + 22
Simplify ((sqrt(1872) + 1 - sqrt(1872))**2*6 + (2*sqrt(1872))**2*-3 + 0 + ((sqrt(1872) - (sqrt(1872) + 0 + 1)) + (-1*sqrt(1872) + -5)**2)*-2)*-1.
240*sqrt(13) + 26250
Simplify (-4*2*(sqrt(152)*5 - sqrt(152) - sqrt(152)))/((sqrt(224)/sqrt(4)*-6)/sqrt(7)).
4*sqrt(19)
Simplify ((sqrt(114) - (sqrt(114) + -1*sqrt(114))*5) + sqrt(114))/(sqrt(18)/(sqrt(3) + sqrt(12) + sqrt(3))) + -4*(-4*(1*sqrt(1900) + sqrt(19) + -1 + -1))**2.
-147392 + 2824*sqrt(19)
Simplify ((sqrt(48)/sqrt(3))/((sqrt(10)*-1)/sqrt(5)))**2 + (4*-1*sqrt(288) + sqrt(288) + -2*(sqrt(288) - (sqrt(288) + 1)))**2*5 + -4.
-720*sqrt(2) + 12984
Simplify (-2*sqrt(209)*3)/(sqrt(55)/sqrt(5)*3 + sqrt(11)) - ((-3 + 1 + sqrt(76))**2 + -5 + -1*sqrt(1216)).
-75 + 29*sqrt(19)/2
Simplify 0 + (3*(-2*sqrt(170) - sqrt(170)) - sqrt(170) - sqrt(170)*3*1)/(-3*-2*sqrt(90)*1).
-13*sqrt(17)/18
Simplify 6*(0 + (-4*(sqrt(700) + 1 + sqrt(700)) + (sqrt(700) + -2)*-4 + (-3 + (sqrt(700)*1 + sqrt(700) - sqrt(700)))*-5)**2).
-38760*sqrt(7) + 1215966
Simplify ((-4*(2 + sqrt(2736)) + ((sqrt(2736) - (sqrt(2736) + -1)) + sqrt(2736))*1 + 3)*-3*-6)**2.
93312*sqrt(19) + 7983360
Simplify 4*2*(sqrt(108) + (sqrt(108) - (sqrt(108)*2 + 4 - sqrt(108))))*-5*-1*-4.
-960*sqrt(3) + 640
Simplify -1 + -5 + (sqrt(539) + -2)*6 + 3 + 6*(sqrt(539) + -1 - sqrt(539)).
-21 + 42*sqrt(11)
Simplify ((sqrt(567) + 2*sqrt(567))*5 + 1 + sqrt(567) + -1*sqrt(567) + 6*-5*(sqrt(567) - 1*sqrt(567)))**2*3.
810*sqrt(7) + 382728
Simplify (0 + 3*((sqrt(684) + sqrt(684) + 1)**2 + sqrt(684) + sqrt(684)) - 3*((4 + sqrt(684) + 3)**2 + sqrt(684)))*-3.
-18036 + 486*sqrt(19)
Simplify sqrt(170)/(sqrt(10)*-2) + sqrt(85)/(sqrt(5)*-5) - ((((sqrt(136) + 1*sqrt(136) - sqrt(136)) + sqrt(136))*-2 - sqrt(136))/(sqrt(1152)*1))**2.
-425/144 - 7*sqrt(17)/10
Simplify (4*(-2 + sqrt(175)*-1 + -3 + -2*sqrt(175) + (sqrt(175) + -2 + sqrt(175) + sqrt(175) + 2 - 5*(0 + sqrt(175)))))**2.
4000*sqrt(7) + 70400
Simplify (0 + -5 + 5 + -3 + 5 + sqrt(475)*1 + 2)**2.
40*sqrt(19) + 491
Simplify -1*sqrt(17)*-5 + (5 + 3*sqrt(17))**2 + sqrt(17) + (sqrt(136) + sqrt(136) + -5*(sqrt(136) + sqrt(136) + sqrt(136)*-2))/(sqrt(72)/(sqrt(9)*1)).
38*sqrt(17) + 178
Simplify (((-1 + sqrt(19) + sqrt(19))*2 - (sqrt(19)*2*-6)**2) + (-5*(-3*sqrt(76) - sqrt(76)))/sqrt(4))*-2*3.
-144*sqrt(19) + 16428
Simplify 1 + 5 + (sqrt(405)*2 + 5 - (sqrt(405) + (sqrt(405) - (sqrt(405)*2 + -2))**2) - ((2 + sqrt(405) + -2)**2 + -4)).
-799 + 45*sqrt(5)
Simplify (4*(sqrt(3267)*1 - sqrt(3267))*4)/((sqrt(900) - | {
"pile_set_name": "DM Mathematics"
} |
4399?
3, 92838133
What are the prime factors of 4654795617?
3, 19, 27221027
What are the prime factors of 840687751?
103, 8162017
What are the prime factors of 59573007?
3, 13, 53, 739
List the prime factors of 842114716.
2, 157, 1340947
What are the prime factors of 3110218340?
2, 5, 17, 2003, 4567
List the prime factors of 28270232.
2, 3533779
What are the prime factors of 4212948149?
32839, 128291
List the prime factors of 6344789590.
2, 5, 14867, 42677
List the prime factors of 470569259.
23, 41, 569, 877
List the prime factors of 1638725289.
3, 61, 1301, 6883
What are the prime factors of 22219672?
2, 877, 3167
List the prime factors of 2457292730.
2, 5, 109, 641, 3517
List the prime factors of 562297297.
197, 2854301
List the prime factors of 3909939444.
2, 3, 36203143
What are the prime factors of 51899859?
3, 11, 31, 1879
List the prime factors of 3629399722.
2, 13, 19, 283, 1997
List the prime factors of 869566084.
2, 19, 11441659
List the prime factors of 328489526.
2, 139, 1181617
What are the prime factors of 5361358395?
3, 5, 31, 373, 30911
List the prime factors of 269470890.
2, 3, 5, 13, 109, 2113
List the prime factors of 155453711.
7, 23, 965551
List the prime factors of 348844499.
348844499
List the prime factors of 354364914.
2, 3, 59060819
List the prime factors of 62637903.
3, 6959767
What are the prime factors of 3944986642?
2, 47, 109, 385027
List the prime factors of 1041880709.
29, 2467, 14563
List the prime factors of 89342409.
3, 13, 2290831
What are the prime factors of 204456335?
5, 233, 175499
List the prime factors of 1797402877.
17, 105729581
List the prime factors of 152810179.
19, 8042641
List the prime factors of 706794261.
3, 17, 2851, 4861
What are the prime factors of 95278929?
3, 97, 327419
List the prime factors of 2741207377.
1013, 2706029
List the prime factors of 149033131.
13, 19, 107, 5639
What are the prime factors of 94917794?
2, 1489, 31873
What are the prime factors of 5067367554?
2, 3, 71, 11895229
What are the prime factors of 59735268?
2, 3, 409, 4057
What are the prime factors of 695306605?
5, 7, 19865903
What are the prime factors of 15060578?
2, 13, 19, 43, 709
List the prime factors of 257778043.
23, 11207741
What are the prime factors of 21557169?
3, 2395241
List the prime factors of 226608866.
2, 11, 839, 12277
List the prime factors of 917607445.
5, 61, 73, 41213
List the prime factors of 68719463.
241, 313, 911
What are the prime factors of 37515312?
2, 3, 9649
List the prime factors of 2851510023.
3, 71, 4462457
List the prime factors of 91027934.
2, 73, 151, 4129
List the prime factors of 83450097.
3, 739, 12547
List the prime factors of 485967470.
2, 5, 31, 1567637
What are the prime factors of 12648750?
2, 3, 5, 3373
What are the prime factors of 6066829974?
2, 3, 5381, 187909
List the prime factors of 85476741.
3, 7, 4070321
What are the prime factors of 62836320?
2, 3, 5, 109, 1201
List the prime factors of 402591250.
2, 5, 322073
List the prime factors of 41905170.
2, 3, 5, 17, 61, 449
What are the prime factors of 67118167?
109, 587, 1049
List the prime factors of 69941378.
2, 13, 2690053
List the prime factors of 6237125827.
5821, 1071487
List the prime factors of 626887754.
2, 241, 1300597
What are the prime factors of 479475458?
2, 7, 11, 131, 23767
What are the prime factors of 627749190?
2, 3, 5, 86111
What are the prime factors of 294403120?
2, 5, 11, 334549
What are the prime factors of 1653003393?
3, 29, 313, 60703
List the prime factors of 1280657932.
2, 1487, 215309
What are the prime factors of 1249218507?
3, 89, 4678721
What are the prime factors of 94421538?
2, 3, 21587
What are the prime factors of 703375496?
2, 2411, 36467
List the prime factors of 27231922.
2, 59, 230779
What are the prime factors of 33401537?
13, 47, 54667
What are the prime factors of 74163751?
3469, 21379
List the prime factors of 422136371.
1187, 355633
What are the prime factors of 213062913?
3, 7, 29, 38873
What are the prime factors of 2588280675?
3, 5, 31, 1113239
What are the prime factors of 385814673?
3, 23, 1863839
What are the prime factors of 3936727749?
3, 1312242583
List the prime factors of 77323732.
2, 19330933
List the prime factors of 45509660.
2, 5, 7, 61, 73
List the prime factors of 19757599.
139, 307, 463
List the prime factors of 98366126.
2, 49183063
What are the prime factors of 89547294?
2, 3, 191, 78139
What are the prime factors of 1097355290?
2, 5, 109735529
List the prime factors of 289005245.
5, 57801049
List the prime factors of 758768792.
2, 59, 149, 10789
List the prime factors of 31333062.
2, 3, 463, 11279
What are the prime factors of 2031756?
2, 3, 169313
What are the prime factors of 231290613?
3, 8566319
List the prime factors of 18850799.
11, 1713709
What are the prime factors of 10278904?
2, 1284863
What are the prime factors of 5209138585?
5, 7, 148832531
List the prime factors of 3154475545.
5, 13, 17, 2854729
List the prime factors of 2651000662.
2, 677, 1957903
What are the prime factors of 219395731?
219395731
List the prime factors of 897525457.
23059, 38923
What are the prime factors of 213272839?
13, 31, 529213
What are the prime factors of 1013594109?
3, 11, 29, 1059137
List the prime factors of 256159356.
2, 3, 59, 361807
What are the prime factors of 102076694?
2, 29, 1759943
What are the prime factors of 303080097?
3, 17, 5942747
What are the prime factors of 3924591639?
3, 43, 30423191
List the prime factors of 67531327.
17, 37, 101, 1063
List the prime factors of 58715329.
58715329
What are the prime factors of 390285380?
2, 5, 19514269
List the prime factors of 780107437.
780107437
What are the prime factors of 3911584451?
17, 11273, 20411
What are the prime factors of 25779325?
5, 11, 13, 7211
List the prime factors of 2324759016.
2, 3, 29, 101, 33071
List the prime factors of 243212662.
2, 7, 11, 143573
List the prime factors of 178345424.
2, 43, 53, 67, 73
What are the prime factors of 131441979?
3, 43813993
What are the prime factors of 48347238?
2, 3, 8057873
What are the prime factors of 301648113?
3, 13, 263, 9803
What are the prime factors of 71162640?
2, 3, 5, 98837
What are the prime factors of 901730148?
2, 3, 11, 509, 13421
What are the prime factors of 257974227?
3, 7, 29, 541
What are the prime factors of 5967720393?
3, 19, 104696849
What are the prime factors of 88803642?
2, 3, 14800607
List the prime factors of 679575799.
7, 17, 5710721
List the prime factors of 125830215.
3, 5, 7, 53, 7537
List the prime factors of 104997936.
2, 3, 2187457
List the prime factors of 184230818.
2, 349, 263941
What are the prime factors of 69021306?
2, 3, 83, 46199
What are the prime factors of 106158750?
2, 3, 5, 28309
What are the prime factors of 88159817?
887, 99391
What are the prime factors of 129067262?
2, 41, 971, 1621
List the prime factors of 125406259.
11, 79, 144311
What are the prime factors of 51894032?
2, 3243377
What are the prime factors of 62506724?
2, 7, 59, 157, 241
List the prime factors of 492092017.
1543, 318919
List the prime factors of 182567725.
5, 7302709
What are the prime factors of 7573434?
2, 3, 11, 114749
List the prime factors of 144052355.
5, 257, 112103
List the prime factors of 1044128323.
7, 3853, 38713
What are the prime factors of 120980542?
2, 4957, 12203
What are the prime factors of 1438409544?
2, 3, 11, 13, 113, 3709
What are the prime factors of 212388940?
2, 5, 641, 16567
What are the prime factors of 1072828698?
2, 3, 23, 7774121
What are the prime factors of 24496596?
2, 3, 251, 2711
What are the prime factors of 413855332?
2, 11, 31, 27583
What are the prime factors of 782282175?
3, 5, 577, 18077
List the prime factors of 1673318641.
43, 3049, 12763
What are the prime factors of 121697422?
2, 7, 11, 83, 9521
List the prime factors of 1325408623.
7, 11, 17213099
List the prime factors of 294597886.
2, 11, 71, 188603
List the prime factors of 55764785.
5, 11152957
What are the prime factors of 90963602?
2, 19, 79, 157, 193
List the prime factors of 81020408.
2, 7, 19, 76147
What are the prime factors of 28005786?
2, 3, 127, 12251
List the prime factors of 1580223451.
281, 5623571
List the prime factors of 686852134.
2, 10613, 32359
List the prime factors of 865085288.
2, 7589, 14249
List th | {
"pile_set_name": "DM Mathematics"
} |
- 29 = 0. Solve 2*m = c*m + 25 for m.
-5
Suppose 3473*f = 3467*f + 18. Let x(l) = l**3 - 7*l**2 - l + 8. Let t be x(7). Solve -4*o - f = t for o.
-1
Let l be (-3)/(-12)*14*(-48)/(-14). Let g be 8/2 + l + -6. Solve 7*r + g = 2*r for r.
-2
Let h be (-2)/3 + 230/3. Suppose -h = 4*g - 6*g. Solve 13 = 5*n + g for n.
-5
Let d(r) = r**3 - 3*r**2 - 2*r - 5. Let x be d(4). Suppose -4*y = 2*c - 18, 0 = -4*c - x*y + 15 + 6. Solve -3*s - c = 3 for s.
-2
Let o(m) = 2*m**2 - 2*m - 18. Let l be o(-3). Solve 7*h - l = 22 for h.
4
Suppose 0 = -12*k - 9 + 9. Solve k = -13*q + 18*q + 5 for q.
-1
Suppose -17 = -3*c + 1. Solve 2*f + 16 = -c*f for f.
-2
Let n(y) = 2*y**3 + 7*y**2 - 6*y - 6. Let a be n(-4). Suppose -z + 12 = a*z. Solve 11 = -z*v - 5 for v.
-4
Let c(h) = h**3 - 8*h**2 + 11*h - 15. Let q be c(7). Solve 5*p + 2 + q = 0 for p.
-3
Suppose 2*m + 3*w + 4 = 12, -m = -2*w - 18. Solve -b = b + m for b.
-5
Suppose 14*b = 15*b - 4. Let y(k) = k**2 + 4*k - 5. Let p be y(-5). Suppose p = 4*u + 2*n - 20, 0*n + 3*n - 21 = -3*u. Solve 3*l = b*l - u for l.
3
Suppose 4*a + 2*h - 4 = 0, 0 - 2 = 5*a - h. Solve a = -6*k + 2 - 20 for k.
-3
Let d = 40 + -91. Let r be 4/(-6) + d/(-9). Suppose -p + r = -2*n + n, 3*p - 4*n = 20. Solve -2*g + p*g = 10 for g.
-5
Let n(u) = u - 1. Let f(b) = 2*b - 23. Let p(y) = -f(y) + 3*n(y). Let z be p(0). Solve 3*k = -k + z for k.
5
Let x = -465 + 467. Solve 3*j = -x*j for j.
0
Suppose 3*v - 12 = v. Let f be (-308)/(-693)*18/4. Suppose j = -4*j. Solve -v = -j*t - f*t for t.
3
Let u = -93 - -76. Let a = -3 - u. Solve 5*h + 1 = -a for h.
-3
Let j = 4 - 1. Suppose 2*s = 3*t + 9, -2*t = -2*s + 6*s + 6. Solve j*d - 6 - 3 = s for d.
3
Let j(w) = -2*w - 5*w**2 + 0*w**3 - 5 + 4 - w**3. Let n be j(-5). Let r(a) = 2*a + 46. Let s be r(-23). Solve s = -g - 4 + n for g.
5
Let o = 1396 + -1386. Solve o*s - 23 = -3 for s.
2
Suppose 5*u = -0*u - 10, -5*u - 102 = 2*p. Let y = 53 + p. Solve 4*o - 5 = y for o.
3
Let g be 8/(-12) + (-2)/(-3). Suppose 2*l - l = 2. Suppose l = 5*k - 8. Solve g*b - k*b + 4 = 0 for b.
2
Let u(h) = -h**2 + 8*h - 15. Let z be u(5). Suppose -5*g - 3*t = -5, z = -3*g + 5*t - 2 + 5. Solve s - g = -4 for s.
-3
Let r(m) = m**2 - 9*m + 2. Suppose 3 + 6 = n. Let w be r(n). Suppose -w*d = 2*d. Solve 0 = 2*v - 4 - d for v.
2
Let z(o) = 4*o**2 + 1. Let u(x) = -x**2 + 2*x - 1. Let h be u(2). Let q be z(h). Suppose -g - q*d = -6*g + 35, 0 = 4*g - 5*d - 31. Solve -g = 5*t + 6 for t.
-2
Let k be (-1 + (-2)/(-3))*-9. Let n be 13/k + 8/(-24). Solve -4*v + n = -0 for v.
1
Let o(d) = 4 + 11*d + 0 - 4*d - 3. Let f be o(0). Solve -1 - f = z for z.
-2
Let t(g) = g**3 - 15*g**2 + 14*g. Let h be t(14). Suppose -17*q + 12*q + 40 = h. Solve 0*u = -2*u + q for u.
4
Let q be 60/(-30) - (-1 - 156). Solve q*c - 153*c = -6 for c.
-3
Let k = 9 + -9. Let n = 4 + -2. Suppose -n*r = r. Solve k = 5*x - r*x + 10 for x.
-2
Let f be 20/6*(-18)/(-10). Let k(y) = -5*y**2 - 1. Let t be k(1). Let w = t + 6. Solve w = f*p - 4*p + 10 for p.
-5
Suppose 10*c + 3*j = 7*c + 15, 5*c = -3*j + 19. Solve 2 = c*h - 2 for h.
2
Suppose 0 = -3*v - 8 + 17. Solve v*t = 5 - 2 for t.
1
Suppose 0 = 2*o + 3*i - 9, -3*o - 3*i + 5 + 4 = 0. Suppose -7*v = -36 + 1. Solve -5 = v*x - o for x.
-1
Let w be -1*3/(3/(-4)). Suppose 0 = -13*y + 4*y - 108. Let x be (-7)/((-21)/y) + w. Solve x*f = 5*f for f.
0
Let t(z) = 2*z - 2. Suppose 3*n + 4*u - 12 = 3*u, 0 = -3*n - 2*u + 9. Let l be t(n). Suppose -2*y + 4 = -l. Solve 2 = 4*k + y for k.
-1
Let t(d) = -7*d - 23. Let s be t(-4). Solve -5*g + 0*g = s for g.
-1
Let y = -188 + 203. Solve 10*o + 5 = -y for o.
-2
Let y be -40 + 1 + (1 - -1)/2. Let o = y - -48. Solve 5*g - 5 = o for g.
3
Let y(p) = -p**3 - p + 2. Let d be y(0). Suppose 7*k - 20 = d*k. Suppose 3*o - k = 5. Solve o*b - 2*b = 0 for b.
0
Let n = -25 - -25. Suppose x + p - 2 = n, -3*x - 2*x = -p - 34. Suppose x = 2*g - 0. Solve 8*b = g*b for b.
0
Let l = -1247 + 1272. Solve 0 = l*m - 30*m for m.
0
Let z(r) = -4*r**3 - r + 1. Let t be z(-2). Let n be (-41)/(-4) - 3/(-4). Let w be 8/(-44) + t/n. Solve -2*l = w*l for l.
0
Let w(h) = -3*h**2 + h**3 + 120 + 0*h**3 - 117. Let p be w(3). Solve -p*v = -2*v + 5 for v.
-5
Suppose 0 = -4*d + a - 2*a + 17, d - 5*a = -1. Solve -t + d = t for t.
2
Let w(p) = p - 3. Let g be w(6). Let o = 109 - 101. Suppose 7 = 5*j + k - g*k, 4*j - o = 4*k. Solve 5*u + 16 = j for u.
-3
Suppose 2*m - 2*x = -0*m - 142, -275 = 4*m + 5*x. Let o be (-4)/6 + m/(-15). Solve -4*s + o = -0*s for s.
1
Let l = 36 - 50. Suppose -3*r + 20 + 1 = 0. Let a = r - l. Solve 3*x + a = 6 for x.
-5
Let h(c) be the third derivative of c**6/120 - 7*c**5/60 - c**4/24 + 7*c**3/6 + 16*c**2. Let q be h(7). Solve d + d + 2 = q for d.
-1
Let n be (6/1)/((-3)/(-11)). Suppose -14 = 2*r - n. Solve r*p + 5 = 17 for p.
3
Suppose 0 = 3*c - 5*j + 5, -2*j - 4 = -0. Let u be 2/(-10) + 62/10 + c. Solve 0 = -i + u - 5 for i.
-4
Let o(j) = j**3 + 13*j**2 + 12*j + 2. Let x be o(-12). Let w be (-7 - -13)*x/(-3). Let d(b) = b**2 + 2*b - 8. Let m be d(w). Solve -g - 4 = -m*g for g.
-4
Suppose 6*g - 10*g = -8. Suppose -4 = -3*y + 2*h, -g*y + 3*h - 6 = 6*h. Solve 0 = -2*v - y - 2 for v.
-1
Suppose o + 39 = 5*c, -2*o - 2*o + 2*c = 228. Let u = o + 59. Solve 5*p - 11 + 6 = u for p.
1
Let w = 7 + -4. Suppose -3*l + w = 3*h, -4*l - 2*h - 1 = -11. Suppose 8 = 5*z - 0*z - 2*k, -14 = -5*z - l*k. Solve 0 = j - z*j for j.
0
Let v be ((-186)/12)/(16/(-32)). Solve -v*m + 36*m - 10 = 0 for m.
2
Suppose -4*q - o + 5*o + 56 = 0, -4*q - 4*o + 80 = 0. Let z = q - 13. Solve 0 = z*s + 1 + 7 for s.
-2
Let q(m) = -m**2 + m + m**2 + 2 + m**2. Let u be q(-3). Suppose 5*h - u = 17. Solve 1 = -4*f + h for f.
1
Suppose c + c = 0. Suppose 2*t - t - 5 = c. Suppose 6*s - 4*m = 9*s + 6, 0 = 2*s + m - 1. Solve 0 = -s*i + i + t for i.
5
Let a(d) = -d**2 + d + 2. Let t be a(0). Suppose -3*z - 5*h = -15, 0 = -3*z + h - 3*h + 24. Let i be (9/(-6))/((-5)/z). Solve t*s = -11 + i for s.
-4
Let z(o) = o**2 + 3*o + 4. Let t be z(-3). Suppose n = -t*n. Suppose -1 = 5*x - 21. Solve n*q = 4*q + x for q.
-1
Suppose 176*c - 90 = 164*c - 18. Let u(i) = i**3 - 5*i**2 - 3*i - 3. Let q be u(6). Solve -c*t - q = -t for t.
-3
Let s = -149 + 154. Solve s*a + 12 = 2*a for a.
-4
Let k be (-1*38)/2 + -2. Let d = k - -22. Solve 3*r = d - 7 for r.
-2
Let a(b) = 3*b**2 - 4*b + 2. Let d be a(1). Suppose -3*o + 5*w + 1 = 0, -4 = -o - 3*w + d. Solve 0 = -3*h + o + 7 for h.
3
Suppose 21*x = 16*x. Suppose x = 5*r + 20, -r + 24 = 2*f - 5*r. Solve -f*p = p + 20 for p.
-4
Let v(j) = -j**3 + 4*j**2 - 2*j - 2. Suppose 0 = -3*b + 7 + 11. Let y be (3 + 0)*b/9. Let h be v(y). Solve 0 = -5*p + h - 17 for p.
-3
Let w = -25 + 23. Let h(t) = 4*t + 24. Let z(j) = j + 1. Let g(s) = w*z(s) + h(s). Let c be g(-9). Solve 0 = -3*d + 5*d - c for d.
2
Let d(p) be the first derivative of 5 + p**2 - 1/4*p**4 + 2/3*p**3 + p. Let y be d(-1). Solve -y = 2*l - 0*l for l.
-1
Let k = 1931 + -1877. Solve -56*l = -k*l - 6 for l.
3
Let c(g) = -g - 1. Let a be c(-10). Suppose 2*t - 3*m - 9 = 0, -4*m - 16 + 4 = 4*t. Solve -4*z - a + 21 = t for z.
3
Let n(i) = 2*i + 9. Let y(c) be the second derivative of c**3/2 + c**2/2 + 9*c. Let o be y(2). Let x be n(o). Solve -5*s + x = 8 for s.
3
Suppose -40 = -5*b + 3*t, -4*b + 3*t = -32 - 3. Let g = -3 - -6. Solve -b + g = -i for i.
2
Let q = 2 + 3. Suppose 12*l - 10 = 13*l. Let f = l - -38. Solve -q*a - 3 = -f for a.
5
Let k(d) be the second derivative of d**4/12 - 5*d**3/3 - 3*d**2 + 8*d. Let w be k(10). Let a be (4/w)/((-6)/27). Solve a*b = 5*b + 8 for b.
-4
Let c(w) = w**3 - 7*w**2 + 4*w - 19. Let r be c(7). Solve r*v = 12*v + 15 for v.
-5
Suppose 2*m = 13 - 9. Let r be m*1/4*4. Solve r*s + 3 = 5*s for s.
1
Suppose s - 69 + 60 = 0. Solve 8*l - s = 5*l for l.
3
Let r(o) = 4*o + 16. Let v be r(-4). Suppose -4*a = c - v*a - 29, -70 = -5*c - 5*a. Solve -3*q + c - 24 = 0 for q.
-5
Suppose -2*c + 6*c - 12 = 0. Suppose 2*z + 9 = 2*p + z, c = -3*z. Solve p*r + 2 = -2 for r.
-1
Let f(o) = o**3 + o**2 - 4*o + 4. Let x be f(3). Let u be 3*(x/(-12) - -2). Let b be 18/((u - -3) + 0). Solve 2*i - b - 1 = 0 for i.
5
Let n = 9 + -9. Suppose n = -6*c + 7*c - 12. Solve 5*y - 2*y = -c for y.
-4
Suppose 7*o - 16 = 8*o. Let j(a) = 3*a + 50. Let d be j(o). Solve 3*k - d = 7 for k.
3
Let n be (5 | {
"pile_set_name": "DM Mathematics"
} |
)).
-14*j**5
Expand (4*v - 3*v + v)*(134*v**2 - 9*v**2 - 65*v**2) - 2*v**3 + 0 + 0 - v**2.
118*v**3 - v**2
Expand (5*b - 3*b + 3*b)*(-5 - 2*b + 5) + (3*b + 4*b - 6*b)*(-3*b + 2*b - b) + 4 + b**2 - 4.
-11*b**2
Expand (-1 - 4 + 3)*(2 + s - 2).
-2*s
Expand (2 + 5 - 6)*(-7 - 15*j**5 + 7)*(2 - 1 - 2).
15*j**5
Expand (2 + 3 - 1)*(u - u + 2*u).
8*u
Expand (2*d**2 - 2*d**2 - 2*d**2)*(-2*d - 2 + 2 - 2*d**2).
4*d**4 + 4*d**3
Expand (13 - 106 - 19)*(0 + 0 + 2*y).
-224*y
Expand (43 - 11*f - 43)*(-1 + 0 + 3)*(4*f + 2*f - 7*f)*(-3 + 4 - 3).
-44*f**2
Expand -3*x**5 + 4*x**5 - 3*x**5 + (x - x + 2*x**2)*(-4*x**3 - 2*x**3 + 4*x**3).
-6*x**5
Expand 2*d**2 - 3*d**2 + 3*d**2 - 187 - 2*d - d**2 + 189 + 0*d + (4*d**2 - 5*d**2 + 3*d**2)*(2 + 4 - 5) - d**2 + 0*d**2 + 2*d**2.
4*d**2 - 2*d + 2
Expand 2*x**5 + 5 - 2 - 1 + (-2*x**4 + x**3 - x**3)*(2*x - 7*x + 4*x) - 1 + 1 + x**5 + 0*x**5 - 4*x**5 - 5*x**5.
-4*x**5 + 2
Expand (0 + 0 + r**3)*(2*r**2 - 3*r**2 + 2*r**2) + ((-r**2 - r + r)*(3*r**2 + 0*r**2 - 5*r**2) + 4*r**4 - r**4 - 2*r**4)*(2*r + 0*r + 2*r).
13*r**5
Expand (-2 + 4 - 1)*(-7 + 7 - 3*m).
-3*m
Expand (0*p - 3*p + 2*p)*((3*p**2 + 2*p**2 - 3*p**2)*(5 - 5 - 2*p**2) - 7*p**4 - 10 + 10).
11*p**5
Expand (u + 0*u + 0*u + 0*u - u + 0*u + (u + 2*u - 5*u)*(-3 + 3 + 1) + 4*u - 5*u + 2*u + 0*u + u + u + 0 + 0 + 4*u)*(4 + 2*u**4 - 4).
10*u**5
Expand (-9 + u**2 + 9)*(6*u - 2*u + 0*u - 2).
4*u**3 - 2*u**2
Expand (4*y - 4*y - 8*y)*(2 - 4 + 0).
16*y
Expand 3*r**3 + 0*r**3 + 0*r**3 + (3*r**2 + 4*r**2 - 5*r**2)*(-2 + 2 - r) - 1 + r**3 + 1.
2*r**3
Expand (-2*i**3 + i**3 + 6*i**3)*(0*i - 2*i + 5*i).
15*i**4
Expand (-3*v + 6*v - 4*v)*(-4*v**2 + 5*v**2 - 4*v**2) + (4 - 5 + 3)*(-3*v**3 + 6*v**3 - v**3).
7*v**3
Expand -15*w - 10*w - 53*w + (w - 2 + 2)*(-4 + 1 + 5).
-76*w
Expand (-a**2 + 0*a**4 - a**4 - 2*a**2)*(-1 + 1 + 2)*(5 - 2 + 3).
-12*a**4 - 36*a**2
Expand (0 - 3 + 1)*(-3 - x + 3) + (-4*x - x + 2*x)*((-5 + 3 + 3)*(-1 - 2 + 1) - 4 - 3 + 6 - 7 + 4 + 2).
14*x
Expand 0*v + 3*v - 23 - 2*v + (4 - 4 + v)*(-3 - 1 + 2) - 2*v + 3*v - 2*v + 2 - 2*v - 2 - 1 + 2*v + 1.
-2*v - 23
Expand (16*m + 11*m - 6*m)*(-m**2 - 2*m**2 + m**2).
-42*m**3
Expand (3 + 1 + 1)*(s**2 + s**4 - s**2 - 2*s**4 + 0*s + 0*s + (-s**3 + 4*s - 4*s)*(-3*s - 2*s + 6*s) + 0*s**4 - 6*s**4 + 4*s**4 - s**4 + s**4 + s**4).
-15*s**4
Expand -2*p**2 + p**2 - p**2 + (0 - p + 0)*(-6*p + 0*p + 5*p) + 2*p**2 - 4*p + 4*p + (-1 + 0 + 0)*(-2*p**2 - 3 + 3).
3*p**2
Expand 2*k**5 - 2*k**5 + 3*k + 2*k**5 + (3 - 3 - 4*k**2)*(-k**3 - k**3 + 3*k**3).
-2*k**5 + 3*k
Expand (-k - 1 + 3*k + 4)*(-2 + 2 - 1)*(2 - 4 + 1).
2*k + 3
Expand 5*p - 5*p - 2*p + (-27*p + 70 - 70)*(5 - 2 - 2) - p + 2*p - 3*p.
-31*p
Expand ((-2*c + c + 0*c)*(3 - 4 - 1) + c - 1 + 1)*(-7*c**2 + 4*c**2 - 2*c**2) + 2*c**3 + 3*c - 3*c.
-13*c**3
Expand (3 + 2 - 4)*(-x - 11 + 11 + (-4*x - x + 6*x)*(-1 + 2 + 1)).
x
Expand (4*k - k - 2*k)*(2*k - 5*k - k) + (-2*k + k + 2*k)*(-2 + 2 - 2*k).
-6*k**2
Expand (r + 2*r + 4*r)*(-2*r**2 + 4*r**2 - 4*r**2).
-14*r**3
Expand -4*m + 0*m - m - 1 + m + 1 + m - 4*m + m + (-2*m + 3 - 3)*(0 + 4 - 2) - m - 4 + 4.
-11*m
Expand (3 + 3 - 4)*(2*w + 8 - 8)*(2 - 3 - 1).
-8*w
Expand (6*g**3 - 8*g**3 + g**3 + (-2*g + 1 - 1)*(2*g**2 + g**2 - 4*g**2))*(2*g + 2 - 2).
2*g**4
Expand (3*y**3 - 2*y**3 + 0*y**3)*(-2 - 8*y**2 + 2).
-8*y**5
Expand (4 - 3*c**3 - 4)*(0 + 0 + 3*c**2 + (-1 - 3 + 3)*(0*c + 2*c**2 + 0*c)).
-3*c**5
Expand (1 + 3 - 3)*((-d + 4*d - 5*d)*(-2 - 4 - 3) - 4*d + 5*d + 0*d + (0 + 2 - 4)*(2 - 2 + 2*d) - 2*d + 2 - 2 - 2*d - 4 + 4).
11*d
Expand (1 + 69*t - 67*t + 2)*(-2*t + 3*t + 0*t).
2*t**2 + 3*t
Expand 2 - 8 - 2*h**2 + h**2 + (-h + 2 - 2)*(-2*h - 2*h + 2*h).
h**2 - 6
Expand (15 - 23 - 94)*(-2*a + 2 - 2 + (-3 + 3 + 1)*(0*a + 0*a - 2*a)).
408*a
Expand (2*l**2 + 6 - 2*l**2 + l**2)*(3*l**2 - 2*l**2 + 5*l**2).
6*l**4 + 36*l**2
Expand (d - 3*d + d)*(3*d - 5*d + 9*d + (-1 + 3 - 1)*(2*d - 2 + 2)).
-9*d**2
Expand (-u**2 + 2*u - 2*u + (-4 - 2*u + 4)*(3*u - 3*u - u) + 0*u**2 + 0*u**2 + 2*u**2)*(9*u**2 - 4*u + 4*u).
27*u**4
Expand (9*y**3 + 3*y**3 + 4*y**3)*(-2*y + 0 + 0).
-32*y**4
Expand (2*y - y - 3*y + (0 + 3 - 5)*(2*y - 4*y + 0*y) + 2*y + 1 - 1 + y - 5*y + 3*y + 0*y - 2*y + 0*y + 14*y - 12*y - 15*y)*(0*y**2 + 2*y**2 + y**2).
-36*y**3
Expand (2*m**3 + m**3 - 4*m**3)*(1 + 2*m**2 - 1) + (6*m**5 - 2*m**5 + m**5)*(-5 - 1 + 1).
-27*m**5
Expand (-k + 3*k - k)*(-4 + 4 + k) - 24*k**2 + 9*k**2 + 13*k**2 + 3.
-k**2 + 3
Expand (1 + 1 + 2)*(4*d - 3*d - 4*d)*(-1 + 3 - 1)*(-1 - 1 + 1).
12*d
Expand ((-1 + 2 + 0)*(-2*r - 1 + 1) + 0*r + 3*r - 2*r)*(-4*r - 3*r + 4*r).
3*r**2
Expand (0*a**2 + a**2 + a**2)*(37*a + 12*a**2 - 37*a).
24*a**4
Expand (-2*h + 2 - 2)*((-2 - 4 + 0)*(3*h + 0*h - 4*h) + 5 - h - 5 + 3*h + 0*h - 4*h).
-8*h**2
Expand (-3*x**2 + 6*x**2 - 2*x**2)*(4 + 8*x - 4).
8*x**3
Expand (0 - 5 + 4 + 1 + 2 - 1 + (1 - 2 - 1)*(0 - 2 + 0) - 5 - 1 - 2 - 5 + 1 + 3)*(3*g**3 - 5*g**3 + 3*g**3).
-4*g**3
Expand 168 - u**2 - 168 - 13*u**3 + (0*u + 3*u - 5*u)*(3 - 3 + u**2).
-15*u**3 - u**2
Expand (-1 + 2 + 0)*(-1 + 0 + 3)*(-7*m + 3*m - 4*m).
-16*m
Expand (0 + 1 - 3 + (-4 - 3 + 5)*(1 - 4 + 1) - 2 - 1 + 2)*(-21 + h + 21)*(0 - 2*h + 0).
-2*h**2
Expand (-5 + 0 - 5)*(2*b - b + 0*b) - b + b + 2*b + (2 - 2 - 1)*(0*b + 0*b + b) + 11*b - 4*b - 3*b - 2*b + b + 0*b.
-6*b
Expand (-4*p**3 + p**3 + 5*p**3)*(5 - 3 - 4) + 2*p - 3*p**3 - 2*p + (0*p + 0*p - p**3)*(4 - 5 + 3) - 2*p**3 - p**3 + p**3 - p**2 - 2*p**3 + p**2.
-13*p**3
Expand (-2 - 2 + 2)*(-2*o**2 - 2*o**2 + 3*o**2) - 7*o**2 - 3*o**2 + 3*o**2 + 0*o**2 + o**2 + o**2 + (0*o + 3*o - 2*o)*(2*o - 3*o + 3*o) - 2*o**2 - 2 + 2.
-3*o**2
Expand (-10*d**3 + 4*d**3 + d**3)*(-2*d**2 + 3*d - 3*d).
10*d**5
Expand (-2 - 4 + 1)*(4 + 1 - 3)*(-3*i + 2*i + 3*i)*(-i + 0*i - i).
40*i**2
Expand (-y + y + 12*y**3)*(0 + 0 - 1)*(-1 + 0 + 0).
12*y**3
Expand (-h + 2*h - 3*h)*(3*h - h - 3*h) + (-2 + 2 - h)*(3*h - 4*h + 0*h).
3*h**2
Expand 0*i**5 - 2*i**5 - 2*i**5 + 0*i + 2*i**5 + 0*i + (-3 + 3*i**2 + 3)*(2*i**3 + 0 + 0).
4*i**5
Expand (3*s**2 + 6 - 6)*(2*s**2 + 4*s**2 - 5*s**2) + 0*s**4 - s**4 + 0*s**4 + (s - s + 2*s)*(2*s**3 - s**3 + s**3) + 3 + 2*s**4 - 3.
8*s**4
Expand 2*n**3 + 16 - 16 + (-5 + 0 + 2)*(-1 + 1 + n**3 + (2 + 4 - 4)*(-2*n**3 - n + n) - n**3 - 2 + 2).
14*n**3
Expand (-4 + 2 + 4)*(-6 + 3 + 0)*(-3 + h + 2 + 0).
-6*h + 6
Expand (-2 + 0 + 1)*(2*m - m - 2*m) + 4*m + 5 - 5 + (-2 + 2 + 2)*(0*m - m + 6*m).
15*m
Expand (-2*x + 4*x + 0*x)*(41*x + 68 - 68).
82*x**2
Expand (-3*v + 2*v**2 + 3*v)*(-5*v - v + v) - 5*v**2 + 5*v**2 + v**3 + (3*v + v - 2*v)*(0*v**2 - 2*v**2 + 0*v**2) + (0*v**2 - v**2 + 2*v**2)*(-2*v - 2 + 2).
-15*v**3
Expand (0 + 3 - 2)*(-2*k**5 + 0*k**5 + k**5 + (k - 2 + 2)*(-k**4 - 2 + 2) - 2*k**5 + 0*k**3 + 0*k**3).
-4*k**5
Expand -1 - r**3 + 1 + (-3*r + 6*r - r)*(2*r**2 + 1 - 1) + (6*r**2 + 0*r**2 + 0*r**2)*(r + 0*r - 3*r).
-9*r**3
Expand (6 + 7 - 3)*(-2*d**2 + d**2 - d**2 - d**3).
-10*d**3 - 20*d**2
Expand (v**2 - v**2 + 2*v**3)*(4 - 7 - 6).
-18*v**3
Expand (-d**3 + 5*d - 5*d)*(0*d + 0*d - 3*d**2) + 5*d**5 + 0*d**5 - d**5.
7*d**5
Expand (5*k - 5*k + 3*k)*(2 + 0 - 3)*(-k**4 + k**4 + 4*k**4).
-12*k**5
Expand (3*p - p - p + p - 2*p + 3*p + (0 - 4 + 5)*(-1 - 2*p + 1) - 3*p - p + 2*p)*(4*p + 0*p - 2*p + 4 - 2*p - 4 + (0*p + 3*p - 2*p)*(1 + 0 - 2)).
p**2
Expand (2*a**2 + a - a)*(-3 + 4 - 2)*(-3 + 2 - 1)*(a**3 - a**3 - 3*a**3).
-12*a**5
Expand (15*z - 55*z + 13*z - 64*z)*(-1 - 3 + 2).
182*z
Expand 4*r**5 - 2*r**5 - 3*r**5 + 2*r**5 - 4*r**5 + 4*r**5 + (-5*r**5 + 3*r**5 + 4*r**5)*(0 + 2 + 0) + 3*r**3 - 2*r**5 - 4*r**3 + 3*r**5.
6*r**5 - r**3
Expand (-3*u + 0*u + 4*u)*(-2 + 3*u - 2 - u)*(0*u**3 - 5*u**3 + 2*u**3).
-6*u**5 + 12*u**4
Expand -2 + 2 + 2*a**3 + (-3 + 2 - 1)*(3*a**2 - 4*a**2 + 2*a**3 - 6*a**3).
10*a**3 + 2*a**2
Expand (-1 + 1 + 3*m**2)*(0*m - m + 4*m + (2 - 2 + 2)*(0*m - 3*m + 5*m) - 4 + 4 + m + (-3 + 6 - 2)*(-4*m - 3*m + 5*m)) + m**3 + m**3 - 3*m**3.
17*m**3
Expand (0 + 0 + 2*v)*((-3*v + 5*v - v)*(-2 + 1 + 3) - 20 + 20 - 10*v).
-16*v**2
Expand (5 + 21*t - 5)*(-2 + 4 - 4).
-42*t
Expand (1 + 0 - 2 + (4 + 0 - 2)*(3 - 7 + 2) - 4 - 3 + 5)*(5 - 5 - 2*t).
14*t
Expand (2 - 2 - 2*r**2)*(1 - 1 - 2*r) + (6*r**2 - 5*r**2 - 2*r**2 + r)*(0*r + r + 0*r).
3*r**3 + r**2
Expand -2 + 2 + 3*j**3 + (1 - 1 - 6)*(-3*j**3 + 2*j**3 + 0*j**3).
9*j**3
Expand -3 + 3 - 3*q - 3* | {
"pile_set_name": "DM Mathematics"
} |
.15
What is the distance between 0.2454768153 and 0.0136?
0.2318768153
What is the distance between -5.31 and 2.50837523611?
7.81837523611
Add 0.3 and -137172478045567.
-137172478045566.7
What is 4834205.8 + -9257?
4824948.8
Sum 3.449 and 22.0300235.
25.4790235
What is the difference between -31890752017 and 0.2?
31890752017.2
Calculate 2079810.917555 - 5.
2079805.917555
-0.06+-20755594297.7
-20755594297.76
What is 1380 minus 235570575?
-235569195
22095863102+-4
22095863098
4 + 202636825408.4
202636825412.4
-1.636+8982860
8982858.364
Add together -237964850210 and 0.06.
-237964850209.94
Subtract 1347.1725 from 5875.5.
4528.3275
Subtract 564640.542 from -7.341.
-564647.883
What is 0.3 take away -8236529812027?
8236529812027.3
What is 0.33 less than 112395518353?
112395518352.67
Calculate -14150.808419 - -0.982.
-14149.826419
What is -1.0947943 minus 1871.4?
-1872.4947943
Add -3 and 10424123481.17.
10424123478.17
What is -114611599549 + -0.1?
-114611599549.1
Subtract 29183147022.98 from -0.5.
-29183147023.48
-0.28 + -2372422640548
-2372422640548.28
What is the difference between 57398737.909 and 4?
57398733.909
Subtract -135 from 98.98598709.
233.98598709
What is 6030 minus -1915465958?
1915471988
Calculate 0.1 - 61826865464.
-61826865463.9
Calculate 0.035 + -5646203834850.
-5646203834849.965
What is -1408194789664 - 0.5?
-1408194789664.5
Calculate -607 - 524838664.18.
-524839271.18
What is -0.58576591 take away 6958?
-6958.58576591
What is -45694.3770064 plus -1?
-45695.3770064
Subtract 239536312 from 471232.
-239065080
What is 84600854 less than -0.141?
-84600854.141
Work out -24905 - 2324826357.
-2324851262
Add together 7 and -1366110.946226.
-1366103.946226
Work out -4266014 - 788564.
-5054578
209.1 + -51913.164123
-51704.064123
What is -1989011613213.73 + 0.3?
-1989011613213.43
Subtract 4435 from 3502094.7661.
3497659.7661
What is the distance between -297216309978 and 837?
297216310815
What is the distance between -84508149 and 17226?
84525375
Calculate -226560076621 + 0.4.
-226560076620.6
-0.4+414890081.16
414890080.76
Total of -179984229 and -1476357.
-181460586
What is -4 less than -17.529608408461?
-13.529608408461
Put together -278988751728 and 0.
-278988751728
Subtract 311200729.58 from -2.222.
-311200731.802
What is -307.961 take away -821507?
821199.039
What is -30479075 minus 95.02?
-30479170.02
What is 325680 minus -29333.3?
355013.3
Work out 0.033574 - -1479716.33.
1479716.363574
What is 8333.06 + 695183?
703516.06
What is 0.1 less than 142687.752215?
142687.652215
Subtract -514 from 55846639.336.
55847153.336
What is 0.5 minus 340896014.64?
-340896014.14
115927868.5 + -4301
115923567.5
Sum -0.86 and -570879828.
-570879828.86
What is -205 minus -859420404783?
859420404578
Add together -0.2 and -6070008056405.
-6070008056405.2
What is -1.6649983124108 less than 0.3?
1.9649983124108
What is the difference between -1488178.6974 and -0.304?
1488178.3934
What is 383051797323 less than 0.2664?
-383051797322.7336
-69305234+3.113377
-69305230.886623
Calculate 452 + -1211703.299.
-1211251.299
What is the distance between -23084169.956 and 0.05?
23084170.006
Sum -50680523 and 173089.
-50507434
Work out 209941.482 - -1.2648.
209942.7468
What is 45162026871 less than -0.458?
-45162026871.458
-148232030606 - -1.3
-148232030604.7
What is -0.4 less than -1266584331.3?
-1266584330.9
Work out -8.68 - -34519130.
34519121.32
What is 9.351858017 less than -0.2?
-9.551858017
What is -2625669762 less than -0.0029?
2625669761.9971
Calculate 0.03 + -10063249457.
-10063249456.97
What is -0.9 + 6532438846?
6532438845.1
Work out -2470 - -0.007768342762.
-2469.992231657238
Work out 652844939929 + -22.9.
652844939906.1
Work out -6974450 - -0.196402.
-6974449.803598
-418+-79340.91366
-79758.91366
What is the distance between 58981 and 65552.706?
6571.706
Sum -2191357976 and -166.
-2191358142
What is 4303719 - 146.293?
4303572.707
What is 13.5784 + -1195.02?
-1181.4416
Add together -0.4 and 43213293990.
43213293989.6
Work out 0.01 + 70802619.02141.
70802619.03141
Calculate 204294804429381 + -0.1.
204294804429380.9
What is -19 less than -307223385?
-307223366
What is 0.03 plus -12112325132.2?
-12112325132.17
Put together 0.76338410223 and 0.4.
1.16338410223
What is -0.02 + -7209.995803?
-7210.015803
Total of -12640613209 and 5171.
-12640608038
What is the distance between 0.130867 and -775764072?
775764072.130867
-87625822388 - 0
-87625822388
Work out 231968 - 186.6475.
231781.3525
What is 3433499081 + 2355?
3433501436
2482+-0.0276817094
2481.9723182906
Calculate -10178705 + -1.800886.
-10178706.800886
What is -159784 less than -0.0871621?
159783.9128379
What is -60.6 take away 830042.313?
-830102.913
What is 2848 less than 34242.05?
31394.05
-50409589042689 - -0.2
-50409589042688.8
Put together -28263.8408 and 3.2977.
-28260.5431
53.17 - -136236721
136236774.17
What is the distance between 0.5 and -100402802.716?
100402803.216
0.13 + -266898266957
-266898266956.87
What is -86.03 take away 1662836492?
-1662836578.03
Calculate 18173332781651 + 0.8.
18173332781651.8
What is -162490559 take away 2578?
-162493137
What is -5 take away -668737178265?
668737178260
What is -0.040421 - 73551110?
-73551110.040421
What is 317 take away -2643546139?
2643546456
Calculate 6.198 - 5261877309.
-5261877302.802
What is 12582 - 37938201?
-37925619
Add -8.88960765 and 28678.
28669.11039235
Add together 0.9583 and 150279692.
150279692.9583
What is -0.5 - 378250407246?
-378250407246.5
Subtract -4877931032198 from -4.
4877931032194
What is 1472283319092 less than 5?
-1472283319087
Subtract -10791469.2 from -596.
10790873.2
Add -6 and -1271920268106.
-1271920268112
Subtract 21261973980310 from 0.63.
-21261973980309.37
Calculate -40696236 + 0.3845.
-40696235.6155
Subtract 20 from -842535199796.
-842535199816
-82582 - -11180407
11097825
Add together -625083116 and 0.172.
-625083115.828
What is 803403 - 18213435?
-17410032
Calculate -7179425 - 2666783.5.
-9846208.5
Put together -20411.285 and 107.96.
-20303.325
What is 19021 + 151153?
170174
37637689828.54 - 4
37637689824.54
What is -6218656889504 - 3?
-6218656889507
What is 4099470 take away -585.85?
4100055.85
Calculate 24401200 - -864412.
25265612
Subtract 1323993601 from -33812.
-1324027413
What is -155214906646 less than -70?
155214906576
5522.988+3534.139
9057.127
What is -2622473859171 - -0.5?
-2622473859170.5
What is -258923790 minus 35011?
-258958801
What is -0.0315 + -84276947098?
-84276947098.0315
What is -1264707945838538 take away -5?
-1264707945838533
Total of -112962.93 and -11.29.
-112974.22
227578 - 12480203
-12252625
Calculate 0.001694222 + 27.25.
27.251694222
What is -261189010 less than 19267?
261208277
Calculate 80432529 + -3547.
80428982
What is 2108.7 plus 53.42928?
2162.12928
Calculate 4370309755545 + 65.
4370309755610
What is 0.099834 plus -7034955?
-7034954.900166
Subtract 0.4 from -730195676.215.
-730195676.615
What is -22880084 less than 56.83?
22880140.83
0.0240064+-191010
-191009.9759936
What is the difference between 5735393 and 335162?
5400231
What is -0.043 - 20912935.693741?
-20912935.736741
Work out 0.45947989 + 0.44294.
0.90241989
Work out 483416 + 110262109.
110745525
Total of 449.802 and 30.8941.
480.6961
Add -204.489133459 and 1.2.
-203.289133459
Work out -7278087751 + 0.8145.
-7278087750.1855
Calculate -15725915 - 349.1.
-15726264.1
What is the distance between -182 and -854358673?
854358491
What is 5287430142339 take away -8.4?
5287430142347.4
What is the difference between 401106391 and -53599?
401159990
Put together -0.19 and 0.30203780295.
0.11203780295
-0.132881 - 4892
-4892.132881
Calculate 395093536 - 13402.
395080134
-2792722 + -169922
-2962644
What is -85 - 243007593.4?
-243007678.4
What is the difference between -79823.5 and 0.008358343?
79823.508358343
Add 459109961 and -0.058862.
459109960.941138
What is 2.8 - -6378131586314?
6378131586316.8
Work out -0.5 - -6399780821948.
6399780821947.5
Subtract 198809.347077473 from -0.3.
-198809.647077473
What is 35.981 take away 186852372?
-186852336.019
Add 50241236125 and -3193.
50241232932
What is 0.0105 less than -310877625?
-310877625.0105
What is 6905511468.1 - 20?
6905511448.1
Calculate 19337422 - -237670.
19575092
11 - -3429757277695. | {
"pile_set_name": "DM Mathematics"
} |
, -3, -2, 0, 70
Put -2, 2, -8/7 in descending order.
2, -8/7, -2
Sort 1, 14, 35 in increasing order.
1, 14, 35
Sort 3067, 5, 2 in decreasing order.
3067, 5, 2
Sort 1/5, 12, -2 in decreasing order.
12, 1/5, -2
Sort 5, 4, -4, 8.
-4, 4, 5, 8
Sort -30, 5, -4.
-30, -4, 5
Sort -4, -1, 2 in increasing order.
-4, -1, 2
Sort -13, 4, 5, -2, 3.
-13, -2, 3, 4, 5
Sort 0, -3/7, 5.2, 4/5.
-3/7, 0, 4/5, 5.2
Put -1, -0.2, 0.7 in decreasing order.
0.7, -0.2, -1
Put -0.3, 3/2, -13 in descending order.
3/2, -0.3, -13
Sort 1, -3, -5, -2 in increasing order.
-5, -3, -2, 1
Put -13, 334, 5 in descending order.
334, 5, -13
Put 3, -3/10, 3/47 in decreasing order.
3, 3/47, -3/10
Sort -1, -389, 0, -3 in decreasing order.
0, -1, -3, -389
Sort -4/7, -7, -10, -1/4, 2.
-10, -7, -4/7, -1/4, 2
Sort -0.1, 30, 15, 2, -3.
-3, -0.1, 2, 15, 30
Sort 212, 4, 4/5 in decreasing order.
212, 4, 4/5
Sort -16, 1, 5, 18 in increasing order.
-16, 1, 5, 18
Put -4, -168, 1, -5 in ascending order.
-168, -5, -4, 1
Put -3, 3/4, 0.2, 1/8, -0.133 in ascending order.
-3, -0.133, 1/8, 0.2, 3/4
Put -0.3, 0, 1, 2/371 in increasing order.
-0.3, 0, 2/371, 1
Put 131, 3, 6 in descending order.
131, 6, 3
Sort 0, 24, 1, -1 in descending order.
24, 1, 0, -1
Sort -3, 0.01, -2/13, 5, -0.4 in decreasing order.
5, 0.01, -2/13, -0.4, -3
Put -0.1, -99, 3 in descending order.
3, -0.1, -99
Sort 4, 2/17, -2/23, -1/2 in increasing order.
-1/2, -2/23, 2/17, 4
Put -0.3, 1, 1/4, -14 in decreasing order.
1, 1/4, -0.3, -14
Put 8, -5, -3, -4, 4 in decreasing order.
8, 4, -3, -4, -5
Sort 9, 1, -4/9, 1/4 in decreasing order.
9, 1, 1/4, -4/9
Sort 5, -52, -1.
-52, -1, 5
Sort -2, 3, 7 in descending order.
7, 3, -2
Sort -4, 4, -1, 235, -5 in descending order.
235, 4, -1, -4, -5
Sort -4, 0, -46, -1 in ascending order.
-46, -4, -1, 0
Sort -4, -3, 4, 48.
-4, -3, 4, 48
Put 2/3, -1/7, -147, 16 in ascending order.
-147, -1/7, 2/3, 16
Sort -2, -3, -11357 in descending order.
-2, -3, -11357
Sort 0, 0.025, 0.21, -5 in decreasing order.
0.21, 0.025, 0, -5
Sort -1.7, -0.14, -4/3, -1/4, 4/3.
-1.7, -4/3, -1/4, -0.14, 4/3
Sort 2, 252, 1, 4 in decreasing order.
252, 4, 2, 1
Sort 0, 4, 3, -4, 131 in increasing order.
-4, 0, 3, 4, 131
Sort -3, -75, 3 in ascending order.
-75, -3, 3
Put -1, 1, -6, 36 in descending order.
36, 1, -1, -6
Sort 5/7, 3, 2/3, 8, 1/7 in ascending order.
1/7, 2/3, 5/7, 3, 8
Sort 2/17, 0.24, 0.09, 0.3.
0.09, 2/17, 0.24, 0.3
Put -1, -3, 1, 20 in increasing order.
-3, -1, 1, 20
Sort -10, 46, -2, -1 in ascending order.
-10, -2, -1, 46
Sort -987, 2/5, -1/2.
-987, -1/2, 2/5
Sort 5/8, -0.08, -15, 3/8 in ascending order.
-15, -0.08, 3/8, 5/8
Sort -3, -1, 7, 5, 10 in decreasing order.
10, 7, 5, -1, -3
Put 1, 493, 0 in descending order.
493, 1, 0
Put -0.1, -0.15, 5, 3 in ascending order.
-0.15, -0.1, 3, 5
Sort 4, 2, 57.
2, 4, 57
Put -4, 6, -5, 89 in increasing order.
-5, -4, 6, 89
Put 3/2, 1.36, -5 in descending order.
3/2, 1.36, -5
Sort 3, 401, -7 in descending order.
401, 3, -7
Sort 4, 7/5, 8 in ascending order.
7/5, 4, 8
Put -18, 5, 1, -1, -3 in decreasing order.
5, 1, -1, -3, -18
Sort 0.2, 1/25, -2/5, 1/4 in ascending order.
-2/5, 1/25, 0.2, 1/4
Put -0.03, 10, -5, -3 in decreasing order.
10, -0.03, -3, -5
Put 0, 3, 12, 2 in decreasing order.
12, 3, 2, 0
Put -14, -112, 4, -5 in descending order.
4, -5, -14, -112
Sort 1, -1/4, 60 in decreasing order.
60, 1, -1/4
Sort -225, 4, -4 in descending order.
4, -4, -225
Sort 5, 0.3, 0, 56, -0.4.
-0.4, 0, 0.3, 5, 56
Sort 2, 2/3, 68, 0 in ascending order.
0, 2/3, 2, 68
Sort 0.4, -2/3, -0.2, 6 in descending order.
6, 0.4, -0.2, -2/3
Put -17, 2, 3, 13 in increasing order.
-17, 2, 3, 13
Sort 3/7, 6, 2/9, -0.063 in decreasing order.
6, 3/7, 2/9, -0.063
Put -4, -2, 230, 5 in descending order.
230, 5, -2, -4
Put -10, 2, -1, 1.8 in descending order.
2, 1.8, -1, -10
Sort -0.9, 0, -0.2, 37, 2 in descending order.
37, 2, 0, -0.2, -0.9
Sort 3, -3, 101 in increasing order.
-3, 3, 101
Sort 6, 3, -46 in decreasing order.
6, 3, -46
Put 1, -1/47, 0 in descending order.
1, 0, -1/47
Sort -1/5, -15, 3, -2/39 in decreasing order.
3, -2/39, -1/5, -15
Put 1, 4, -0.1, -280 in ascending order.
-280, -0.1, 1, 4
Put -3/2, 8/3, 0.1 in ascending order.
-3/2, 0.1, 8/3
Put -3, 9, -555 in ascending order.
-555, -3, 9
Sort -1, 2, -65 in decreasing order.
2, -1, -65
Sort 47, 0, -1, -13, 1 in decreasing order.
47, 1, 0, -1, -13
Sort 16, 0.1, 5, 2/11.
0.1, 2/11, 5, 16
Put -0.2, 129, 0.4, 4/7 in decreasing order.
129, 4/7, 0.4, -0.2
Sort -3, -2, 384, -5 in ascending order.
-5, -3, -2, 384
Sort 1, -152, 2, 3.
-152, 1, 2, 3
Sort 11, -5, -40, 2 in decreasing order.
11, 2, -5, -40
Sort -3/5, -10, 5, -1/8, 1.
-10, -3/5, -1/8, 1, 5
Sort -3, -2, 0, 5, 100 in decreasing order.
100, 5, 0, -2, -3
Put -2, -1, -28 in decreasing order.
-1, -2, -28
Put 0.6, -3, -0.5, -6 in descending order.
0.6, -0.5, -3, -6
Put -209, 4, 3, 0 in ascending order.
-209, 0, 3, 4
Put -3, -1, -43 in descending order.
-1, -3, -43
Put -8, -2, 1 in descending order.
1, -2, -8
Sort 19, -2, -1, -5 in increasing order.
-5, -2, -1, 19
Sort -0.02, -2/9, 0.12 in decreasing order.
0.12, -0.02, -2/9
Put 1, 0.3, 87, 6 in descending order.
87, 6, 1, 0.3
Put 2/5, -3, 4/9 in decreasing order.
4/9, 2/5, -3
Sort -2, 2, -26, -5 in ascending order.
-26, -5, -2, 2
Put -89, -7, -4 in descending order.
-4, -7, -89
Sort 2/39, -3, -1/4, 5, 3/8 in decreasing order.
5, 3/8, 2/39, -1/4, -3
Put 3, -2, 39 in ascending order.
-2, 3, 39
Sort -11, -4, -0.11 in descending order.
-0.11, -4, -11
Sort 0.1, 29, -1, -2/13, -3 in decreasing order.
29, 0.1, -2/13, -1, -3
Sort -3/5, -335, 5 in increasing order.
-335, -3/5, 5
Sort 66, 4, 0.5, 2/5 in decreasing order.
66, 4, 0.5, 2/5
Sort -3, -10, 27, 3 in descending order.
27, 3, -3, -10
Sort 63, -2, -1 in increasing order.
-2, -1, 63
Sort -5, -14, 3, -4, 11 in descending order.
11, 3, -4, -5, -14
Put 1, 0.4, 22, -1 in ascending order.
-1, 0.4, 1, 22
Sort 8, 0.4, 0 in increasing order.
0, 0.4, 8
Sort -3, 169, 2, 4, -2.
-3, -2, 2, 4, 169
Sort 8, 5, 52, 7 in increasing order.
5, 7, 8, 52
Put 2515, -1, 4, 0 in increasing order.
-1, 0, 4, 2515
Put 4, -0.04, 0.2, 2/9 in decreasing order.
4, 2/9, 0.2, -0.04
Put 39, -1, 0, 2 in descending order.
39, 2, 0, -1
Put 4, -6, -1, 3 in increasing order.
-6, -1, 3, 4
Put 5, -1, 4007 in descending order.
4007, 5, -1
Sort 2/15, 7, -2/17, -2, -0.07.
-2, -2/17, -0.07, 2/15, 7
Sort -1, -5, 17, 5 in decreasing order.
17, 5, -1, -5
Sort -19/4, 4, -3/2.
-19/4, -3/2, 4
Sort -4, 0, 3, 5, 8 in ascending order.
-4, 0, 3, 5, 8
Put -4, -11/3, -0.3 in ascending order.
-4, -11/3, -0.3
Put -7, -2, -29 in descending order.
-2, -7, -29
Put 1, 2, -2 in increasing order.
-2, 1, 2
Put -0.2, 3/5, 2, 1/16, -2/13 in decreasing order.
2, 3/5, 1/16, -2/13, -0.2
Sort 1, -2, 200 in descending order.
200, 1, -2
Sort 2, -25, 1, 17, 4.
-25, 1, 2, 4, 17
Put 9, -5, 1, 0 in descending order.
9, 1, 0, -5
Put -5, 17, 6, 5 in decreasing order.
17, 6, 5, -5
Sort 2, -29, 4, 5 in increasing order.
-29, 2, 4, 5
Put -0.3, -1/10, -0.4, -1.9, -1 in decreasing order.
-1/10, -0.3, -0.4, -1, -1.9
Put -139, 4, 0 in decreasing order.
4, 0, -139
Sort 5, 0, -33.
-33, 0, 5
Put -1, -18, -114 in increasing order.
-114, -18, -1
Put -26, 10, 3 in increasing order.
-26, 3, 10
Sort 31.8, -4, 4, 0.2 in decreasing order.
31.8, 4, 0.2, -4
Sort 0.3, -1, 0.5, -244.4 in decreasing order.
0.5, 0.3, -1, -244.4
Put 0, 15, -2, -0.5 in ascending order.
-2, -0.5, 0, 15
Put 9, 3, -1, 258 in decreasing order.
258, 9, 3, -1
Sort 135, 5, 0, -2 in ascending order.
-2, 0, 5, 135
Put -2, -1/7, 7, -0.5 in ascending order.
-2, -0.5, -1/7, 7
Put 8, -1, 2 in descending order.
8, 2, -1
Put -4, 12, 0.5, 0.01 in decreasing order.
12, 0.5, 0.01, -4
Sort -5, -3, 0, 3.
-5, -3, 0, 3
Put 0.1, 3/46, 1/4, 2/11 in descending order.
1/4, 2/11, 0.1, 3/46
Sort -4, -2, -15, -8, 31 in increasing order.
-15, -8, -4, -2, 31
Sort -1, -51, 0.5, 1/7 in decreasing order.
0.5, 1/7, -1, -51
Put -2, 2/5, -1.4 in descending order.
2/5, -1.4, -2
Put -2, 4, -11 in ascending order.
-11, -2, 4
Put -38, 0, 5 in decreasing order.
5, 0, -38
Sort 3, 60, 7, 5 in ascending order.
3, 5, 7, 60
Sort 0.4, -6, -0.8, 5, 2 in increasing order.
-6, -0.8, 0.4, 2, 5
Put -6, -5, 9 in ascending order.
-6, -5, 9
Sort -4, -15, 6 in ascending ord | {
"pile_set_name": "DM Mathematics"
} |
2
Let b = 3 + 8. Suppose b*h = -3 + 14. Solve -h - 2 = -m for m.
3
Let r(v) = -11*v**2 + 366*v - 65. Let c be r(33). Solve 7*i - 6 + c = 0 for i.
-4
Let f(q) = 4*q**3 + 18*q**2 + 26*q + 2. Let i(p) = -3*p**3 - 17*p**2 - 26*p - 1. Let b(s) = 2*f(s) + 3*i(s). Let j be b(-13). Solve -j + 3 = 2*o for o.
1
Let h = 400 - 383. Solve 11 = 2*z + h for z.
-3
Let q be 0 + 9 + 16/4. Let w be 0 + (-22)/(2 + 0). Let k = w + q. Solve g = -k*g for g.
0
Let o = 5 - -1. Let u be (-6)/(-14) + (-42)/98. Let a be 1 + u - (-12)/4. Solve -a*q - o = -2*q for q.
-3
Let r be -13*(0 + -2 + 1). Suppose 0 = -2*w + 31 - 23. Let x = -1 - -2. Solve -x + r = w*b for b.
3
Suppose -67*v + 863 + 343 = 0. Solve -3*o - 15 = -v*o for o.
1
Suppose s = -0 - 2. Let g = 4 + s. Solve 3*z = g*z + 5 for z.
5
Suppose 0 = a - 6*x + 2*x + 10, 3*a + x - 9 = 0. Suppose -1 = -2*b - b + r, 3*b + a*r = 16. Suppose -k + 0 = -b. Solve -k*l + 12 = -5*l for l.
-4
Let y(t) = t**2 + 7*t + 3. Let b be y(-7). Let r be b + (1 - 2)*(-2 + 3). Solve 23 = -5*g - r for g.
-5
Suppose -3*y - 2*u = -86, -14 = -y - 2*u + 12. Solve -3*s = -y + 15 for s.
5
Let i = 2471 - 2443. Solve 6*p - i = -10 for p.
3
Let a(v) be the first derivative of v**4/4 - 2*v**3 + v**2 - 9*v - 24. Let l be a(6). Suppose 2*t + 0 - 8 = 0. Solve t*o - l*o - 1 = 0 for o.
1
Let a(p) = -p**3 + 3*p**2 + 3*p - 3. Let t be a(3). Let i(j) = -j**2 + 7*j + 30. Let b be i(10). Solve b = -5*z + t*z for z.
0
Let z = 1442 + -1440. Let s = -2 + 2. Solve z*v = -6 - s for v.
-3
Let n = -23 - -96. Suppose 2*i - n = -17. Suppose s + 3*s = i. Solve 3 + s = -2*o for o.
-5
Let b be (188/(-10))/((-4)/60*-3). Let o = -94 - b. Solve 4*a + 12 + o = 0 for a.
-3
Let u = -387 + 394. Solve 2*f = u*f for f.
0
Suppose -3*z + 150 = 4*v - v, -2*v + 10 = 0. Let h = z + -34. Suppose 2*n - h = 3*n - 4*i, 3*n - i = 0. Solve n = -3*f - 2 for f.
-1
Let v(u) be the third derivative of -u**4/12 + u**3/3 - 3*u**2. Suppose 2*w + 11 - 3 = 0. Let j be v(w). Solve -5*g = -3*g - j for g.
5
Let x = 531 - 531. Solve x = 3*q - 3 - 12 for q.
5
Let x(i) = -i**3 - 5*i**2 + i - 1. Let j be x(-6). Let p = j - 25. Solve -p*w - 27 = -11 for w.
-4
Let w = -532 + 537. Solve -w*u = -7*u + 10 for u.
5
Suppose -g + 0*g + 4 = 0. Suppose -g*r + 4 = 4*v, 5*v - r - 15 = 4*r. Let c be ((-6)/(-4))/(v/4). Solve c*p + 1 = -2 for p.
-1
Let r be (6/10)/(-16 + 1205/75). Solve -r*y - 10 = -4*y for y.
-2
Suppose 3*m = -4*b + 67, b + 5*m = -0 + 4. Solve 6*f + 7 = b for f.
2
Let o(t) = -t**2 + 6*t - 7. Let w be o(4). Suppose 0 = -4*r + 13 - w. Suppose 5*c = 3*n + 1, -2 = -4*c + 2*n - 0. Solve -c*y - r*y = 10 for y.
-2
Let h be (5 + (-112)/21)*27/(-3). Suppose 2*y - 12 = -2*y. Suppose 5*d - y = -c, 0 = -c + 2*d - 0*d + h. Solve -1 + c = q for q.
2
Let g(l) = -5*l**3 + 9*l**2 - 11*l. Let i(k) = -3*k**3 + 5*k**2 - 6*k. Let p(b) = -6*g(b) + 11*i(b). Let x be p(-1). Solve -x*m = m + 5 for m.
-1
Let m(p) = p**3 - 30*p**2 + 54*p + 62. Let h be m(28). Solve 0 = 2*g + h - 4 for g.
-1
Let l be (-2)/(-5) - (-90)/25. Solve 0 = 25*c - 27*c + l for c.
2
Suppose 5*t - 199 = -59. Solve 33 = -5*y + t for y.
-1
Suppose -4*f + 125 = f. Suppose 2*z = -3*z + f. Suppose 4*w = 3*x - w - 4, 5*x + z*w - 60 = 0. Solve 0 = -4*j + x - 0 for j.
2
Let p be 4/6*27/6. Let m(d) be the first derivative of -d**2/2 + 8*d + 1. Let t be m(p). Solve 7 = 4*k - t for k.
3
Suppose 4 = -c + 2*g, 7*c - 5*g + 13 = 6*c. Solve 0 = -c*x + 3 - 1 for x.
1
Let w(n) = 5*n**2 - 150*n + 30. Let v be w(30). Solve -8*k = -2*k - v for k.
5
Let g be 5 - (-8 - -4)/(-4). Let n be (-4)/(-3)*(-9)/(-6). Solve g*i + n = -2 for i.
-1
Let o(m) = -m + 9. Let j be o(5). Suppose j*z = 11 + 13. Solve 5*b = -26 + z for b.
-4
Let c(m) be the first derivative of m**4/24 - 2*m**3/3 - m**2 + 10. Let f(h) be the second derivative of c(h). Let d be f(4). Solve d*w = -2*w + 4 for w.
2
Suppose 2*h - 23 = 4*z - 9*z, -2*h + 17 = 3*z. Suppose 0 = -z*s + 6, 0*c + 5*c - 23 = -4*s. Solve 0 = -l + c*l for l.
0
Let x be -1*(-25 + 35/7). Solve x + 10 = 6*h for h.
5
Suppose 6*d + 97 = 103. Solve d = -3*w - 5 for w.
-2
Let n(p) be the second derivative of p**4/12 + 5*p**3/2 + 29*p**2/2 + 29*p. Let s be n(-13). Solve 8*t - s*t = 10 for t.
2
Let q = -23 - -28. Suppose -q*y + 3 = -7. Solve -3 = y*p + 3 for p.
-3
Let q(b) = b**2 + 7. Suppose -12*p + 21 = -5*p. Let u be q(p). Solve 5*i + u = i for i.
-4
Let d(w) = w**2 + 29*w + 180. Let c be d(-20). Let p(o) = -o**3 - 9*o**2 - 9*o - 4. Let f be p(-8). Solve f*s = -c*s for s.
0
Let b(y) = 52*y - 191. Let h be b(4). Solve 22*j - h*j + 5 = 0 for j.
-1
Let t(n) = n**2 - 31*n + 54. Let o(c) = 2*c**2 - 63*c + 109. Let j(k) = -6*o(k) + 13*t(k). Let f be j(23). Solve 0 = f*x + 2*x - 16 for x.
4
Let n(v) = v**3 + v**2 - v. Let q be n(1). Let b be ((-99)/(-27))/(1/(-3)). Let l = 15 + b. Solve l*o + q = 3*o for o.
-1
Let x = -6 - -8. Suppose l + 4*z - 22 = 0, 4*z - 40 = -5*l + l. Suppose -x*u = -l*u. Solve u = j + 3 for j.
-3
Let f be (3 + (0 - -5) - 3) + -2. Let b be (-6)/15 - 21/(-15). Let j be 5/b - f - -2. Solve -2*m - j = -0*m for m.
-2
Suppose 36 = -7*t + t. Let f be 6/(-1 - t/10). Let s = f + 17. Solve 4*z = s + 14 for z.
4
Let o = -969 - -979. Solve 0 = -3*w - 1 + o for w.
3
Let c be ((-5)/(-10))/((-7)/(-84)). Solve -14*w = -c*w for w.
0
Let d = 42 + -67. Let x = 11 - 21. Let j = x - d. Solve 0 = -4*p - p + j for p.
3
Let y = 55 + -56. Let c be (y + 2 + -1)/(8/8). Solve 2*j - 2 + 0 = c for j.
1
Let x = -265 + 271. Solve -2 - 22 = -x*s for s.
4
Suppose -3*i + 4*b + 35 = 0, 2*i - 6 = -5*b - 21. Solve -10*v + 11*v = i for v.
5
Let f be (-1)/(-1) + (4 - (-17 + 13)). Solve -24*x - 45 = -f*x for x.
-3
Suppose s = -4*p + 15, p - 4 = -p - 4*s. Suppose -p*c = -18 + 10. Solve f + 5 = c for f.
-3
Let b = -269 - -315. Solve 0 = 3*u + b - 58 for u.
4
Let z = -21 - -62. Let f = z + -39. Solve 2 = f*t - t for t.
2
Let j = 54 + -46. Suppose b - j = 5*b - 4*x, 0 = -b + 2*x - 4. Solve -3*s - 2*s - 25 = b for s.
-5
Suppose -3*l - 6 = 3*z, 7*z - l - 14 = 4. Solve -8*y + 6 = -z*y for y.
1
Let p = -79 - -79. Solve p = 3*s + 9 - 3 for s.
-2
Let t = 13 - 8. Suppose 11 = 4*y - t. Solve 0 = -w - 0*w + y for w.
4
Let a be 6 + 1 - (-1 - -4). Suppose 6*x = a*x. Solve d - 2*d + 3 = x for d.
3
Let l = 397 + -375. Solve -5*m + l = 7 for m.
3
Let s = -1932 + 1935. Solve 1 = -s*i - 5 for i.
-2
Let g be ((-60)/(-9) - 5)*3. Let p be 11/2 + 2/(-4). Suppose -z + 6 = 4*s - 5*s, -3*s = -p*z + 38. Solve -z = 5*a + g for a.
-3
Let q = 97 - 147. Let u = q + 53. Solve 8 = 5*w + u for w.
1
Suppose 4 = -23*m + 24*m. Solve -8*b = -12 - m for b.
2
Let q be ((-6)/(-4))/(9/18). Suppose -q*a + 94 = 22. Let i = 27 - a. Solve -l = -i*l + 6 for l.
3
Let g(m) = 7*m**2 + 4. Let u be g(2). Let d = -24 + u. Solve 4 = -3*i - d for i.
-4
Let z be (-64)/(-8)*2/4. Let k(b) = 7*b + b**2 - 16 + z*b + 0. Let s be k(-13). Solve s = -h - h for h.
-5
Let d be 8/(-3) + 2 - 636/(-36). Suppose 2*v = -c - 2 + 13, c + 4*v = d. Solve -5*z = -6*z + c for z.
5
Suppose -3*d + 10 = 4*h - 41, 0 = -3*h - 4*d + 47. Let z(y) = -2*y**2 + 8*y + 5. Let x be z(4). Let p be 4/(-2) + (x - 1). Solve -p*v = h - 1 for v.
-4
Suppose 12 = 45*z - 42*z. Solve 4*i + 4*i = z*i for i.
0
Let o(t) be the first derivative of -t**3/3 + 3*t**2/2 + 3*t - 1. Suppose 17 = 9*h - 10. Let j be o(h). Solve j*x + 7 = -8 for x.
-5
Suppose p - b + 1 + 18 = 0, 2*b - 21 = p. Let f be (5 + -1)/((-2)/9). Let v = p - f. Solve -d - 3 = -v for d.
-2
Suppose -12 = -11*z + 7*z. Suppose -2*t + 12 = z*o, 5*o - t = -0 + 20. Solve 0 = -v - v - o for v.
-2
Let j be (-2)/(-16) - (0 - 345/120). Let c(w) = -w**2 - 5*w - 3. Let b be c(-4). Solve f - b = j for f.
4
Let m(j) = -2*j. Let o = -11 - -7. Let f be m(o). Suppose -y - 17 = 5*d, d - 8 = -3*y - y. Solve y*g - f*g = 20 for g.
-4
Let c(m) = m**2 - 15*m + 6. Let u be c(0). Solve w - 6 = -u for w.
0
Let i = -20 + 24. Let t be ((-96)/36)/(i/(-18)). Solve t = -3*o - 3 for o.
-5
Let q be -3*(-4)/12*1 - -6. Suppose r = 9 - q. Solve -1 - 3 = -r*z for z.
2
Let n(l) = l + 6. Let w be n(-5). Let u be (-1)/(-2*(w - 0)/8). Solve u*s = -s for s.
0
Suppose 8*t = 6*t - 4. Let w = t - -4. Suppose 0 = -w*u + 3*u - 4. Solve u*a + 5 = -3 for a.
-2
Suppose 0 = g + 3*j - 655 - 212, -g = -3*j - 849. Let y be 6/(-14) - g/(-91). Suppose 12*i - 15*i = -y. S | {
"pile_set_name": "DM Mathematics"
} |
ssuming j is positive.
j**(-656/15)
Simplify (f*f**(1/25))**(2/15)*(f**14/f)**31 assuming f is positive.
f**(151177/375)
Simplify s**(2/5)/s*s*s*s/(s/s**(3/8))*(s*s*s/(s*s**(-4))*s)/((s*s*s*s**3)/s)*(s/(s**(-1/3)*s))**(16/9)/(s**(1/2))**(-22) assuming s is positive.
s**(16597/1080)
Simplify (c**(-19)/c**(-2/7)*((c*c**(4/7))/c)/c**(-12))**(-27) assuming c is positive.
c**(1161/7)
Simplify (((r*(r/(r**8/r))/r)/r)/((r/(((r**(-9)/r*r)/r)/r))/r))**(2/11)*r*r**(-5)*r**(3/2)*(r*(r/((r/r**5)/r))/r*r*r)/r*r*r*r*r*r**(4/3) assuming r is positive.
r**(433/66)
Simplify ((v**(5/6))**44*(v**(2/3))**38)**(1/11) assuming v is positive.
v**(62/11)
Simplify (q**(2/7)/q*q*q*q**(-6/13)/q)**(-44)/((q*q/(q*q**(2/3)*q)*q)**(2/41)/((q/(q/(q/(q*q/q**3*q))*q*q))/(q**5*q))) assuming q is positive.
q**(8059/11193)
Simplify (u**0)**(-49)*((u/(u/u**6))/u)/u**(-2/9)*(u**(-6)*u)/u**(-1/5)*(u**(-1))**40 assuming u is positive.
u**(-1781/45)
Simplify (r/r**(-48))/(r*r**(3/5))*r**(-4/9)*r**(5/13) assuming r is positive.
r**(27694/585)
Simplify c*c*(c*c**(-3/8))/c*c*c/(c/c**(3/4))*(c/c**(2/9))/c*(c*c**2*c)/c*c*(c**2/c)**(-14/13)*c**(-4)*c*(c*c**(2/19))/c assuming c is positive.
c**(56573/17784)
Simplify (((g*g/g**(-5))/g**(-6/11)*((g**6/g)/g)/((g/(g*g/((g/((g*g**(2/7)*g*g)/g))/g)))/g*g))**(-26))**(-44) assuming g is positive.
g**(118768/7)
Simplify ((y**(-2/25)*y**(-1))/(y**(2/11)*y**(-4)/y))/((((y**(-6)/y)/y*y*y)/y)/y*y**3)**(2/29) assuming y is positive.
y**(32562/7975)
Simplify ((j*j**0)**(1/8)/(j/(j*j*(j/j**(-5))/j*j)*j**(-7)))/(j**(5/3)*(j/(j*j*j**(-3)*j))/j*j*j/j**(1/2)*j*j**(-7)) assuming j is positive.
j**(407/24)
Simplify ((v*v*(v/v**(-3/5))/v*v*v)/(v*v**2/v))/(v**0/v*v)**25*(v*v/(v/((v*v/v**(2/5))/v*v))*v**(-4)*v)**(-44) assuming v is positive.
v**(101/5)
Simplify ((n/(n*n**1))**(-21)*(n**1)**(-2/5))/(n**(-1)*n*n/(n/n**9))**33 assuming n is positive.
n**(-1382/5)
Simplify (((y/(y/(y/((((y/(y/(y*y/y**(1/18)*y)))/y*y*y)/y)/y)*y)))/(y*y/(y/(y/y**(-8/13)))))/(y**(-17/3)/(y*y/(y**(3/5)/y)*y)))**(-37) assuming y is positive.
y**(-281681/1170)
Simplify (h**(1/2))**(2/7)*h**3*h/h**(-6)*(h*h**(-1))/(h*h**(-2/5)/h)*h**(-4/3)*h/h**7 assuming h is positive.
h**(337/105)
Simplify ((y**0)**(-10)*(y*y*y**(-4/5)*y)/y**6)**(-13) assuming y is positive.
y**(247/5)
Simplify (x**(-10/7)*x)/((x/x**4)/x)*x**(-20)*(x/(x/(x*x**(-5/13))*x))/x assuming x is positive.
x**(-1621/91)
Simplify ((i/i**(5/2))/(i*i*i*i**(3/19))*(i**(-9)/i)**(-16/5))**(-2/97) assuming i is positive.
i**(-1039/1843)
Simplify ((w**4/w**(-4/9))/((w/w**(-2/5))/(w/(w/((w**5/w)/w)))))/(w*w*w**(-8)*w**(1/11))**(2/107) assuming w is positive.
w**(325994/52965)
Simplify (h**(4/5)*h*h*(h**4/h)/h*(h**(-1/3))**30)/((h**2*h)/h**(-3/7)*h**(2/25)*h**(2/13)) assuming h is positive.
h**(-20162/2275)
Simplify ((p**(2/7))**46/(p*p**(4/5)*p*p**(2/5)*p))/((((p/(p/p**(4/5)*p))/p)/p)/(p**(-4)/p)*(p**(-2/7))**(-2/21)) assuming p is positive.
p**(899/147)
Simplify ((f**(-1/4)*f*f)**8)**(-2/91)/((f/f**(2/33))/f**5)**(-1/3) assuming f is positive.
f**(-2138/1287)
Simplify ((q*q/q**(-17/4))**(-40)/((q/q**(20/7))/q)**12)**(-6/35) assuming q is positive.
q**(1812/49)
Simplify (((f*f/(((f/(f/(f/(f*(f**1/f*f)/f))))/f)/f*f))/f)**47)**(13/2)/((f**0)**(-8/13))**(-29) assuming f is positive.
f**611
Simplify (((l*l**(-2/5)*l)/l)**(-6/7))**(-1/6)*(l**(4/3)/((l**6*l)/l))**(-29) assuming l is positive.
l**(14219/105)
Simplify (v/v**(-20)*v*v**(-23)*v*((v/(v*v**(-2/5)))/v)**2)**(-21/4) assuming v is positive.
v**(63/10)
Simplify ((j**2)**30/(j/(j*j**(-1)*j)*j/(j**(2/21)/j)))/(((j**(2/5)/j)/j*j*j**(5/3))/(j/(j/(j**(-2/9)*j)))**(-5/6)) assuming j is positive.
j**(106559/1890)
Simplify ((j**3)**(-1/35))**(-42)*(j*j/(j*j/((j*j**(-2))/j)))**50*(j**(-1/4))**(-7) assuming j is positive.
j**(-1893/20)
Simplify ((c**1)**7/((c*c**6/c)/(c/(c/(c**(-1)*c)))))/((c**(-2)*c)**(-8/11))**48 assuming c is positive.
c**(-373/11)
Simplify (((z/(z**(-1)/z))/z*z)/z*z/z**(1/7))**(-12)/(z**(1/3)*z*z**(3/7)/z*z*((z*z/(z*z**(2/3)/z))/z)**20) assuming z is positive.
z**(-299/7)
Simplify m**(-2/11)*m/m**(-2/11)*((m*m**(-1))/m)**(-6)*(m/(m*m**(2/5)))**(3/32)*(m*m*(m**(-4/3)/m)/m)/m**(4/7) assuming m is positive.
m**(8497/1680)
Simplify ((s*(s/(s/(s**(-10)/s)))/s)**(-48)/(s**(-7))**(-1/4))**(8/15) assuming s is positive.
s**(842/3)
Simplify (g**(-3/2)/(g*g**(2/21)))/(g/((g**(-6/11)/g)/g)*g**1)*g**(3/5)/g**(-1)*(g**(-1)/g)**(9/8) assuming g is positive.
g**(-35993/4620)
Simplify (((s**(-2/15)*s)/((s*(s*s**(-2)*s)/s*s)/s))/(s/(s**(-2)/s)*(s/s**2)/s))/((s/s**(1/4))**(6/25)/(s*s*s**(-2/3)*s)**(1/45)) assuming s is positive.
s**(-1703/1350)
Simplify ((c*c/c**(-8))/(c/(c/(c/((c/(c/((c/(c*c**(-7)*c)*c)/c*c)))/c*c))*c)))**(2/17)*c*c**3*c**(1/5)*c*c**(1/10)*c*c**(-1/5) assuming c is positive.
c**(81/10)
Simplify ((c/(c/c**(3/7)*c)*c**(-2/11)/c)**22)**25 assuming c is positive.
c**(-6750/7)
Simplify (y/y**(-5)*y*y**(1/3)/y*y)**(7/4)*(y**(1/2)*y)/(y*y/((y*y*y/y**(1/2))/y))*y**(-2/3)*(y/(y**(4/9)*y))/y*y assuming y is positive.
y**(229/18)
Simplify ((q**2*q*q*q**(-3/5)/q)/(q**(7/6)*q*(q*q/((q*q/(q**3*q*q*q)*q)/q))/q))**(-1/45) assuming q is positive.
q**(143/1350)
Simplify (j/((j*j**(3/5))/j)*j/((j*j**(-5)*j*j)/j))**14*(j*j**(1/6)*j*j*(j**1/j)/j*j)/(j**(5/6)/(j/(j**(-1/7)/j))) assuming j is positive.
j**(6938/105)
Simplify (w**29)**(-36/7)/((w**22/w*w)/w*w/((w**(1/34)/w)/w)) assuming w is positive.
w**(-41201/238)
Simplify (m**(-9)*m*m/((m**(-3)/m)/m)*m)**(-2/29)/(m**(-6)*m/m**(1/4)*m**(2/9)*m**(2/19)) assuming m is positive.
m**(99011/19836)
Simplify (v/(v/v**(-2/9))*v*v*v**(1/6)*v)**39/(v**(-3)*v**(2/3)*(v*v**(2/3)/v)**(2/79)) assuming v is positive.
v**(55529/474)
Simplify ((x*x**(2/3))**(2/19))**(-4/21)/(x*((x**(-2/3)/x)/x)/x*x*x**(2/7)*(x**(-1/4)/x)**(-42)) assuming x is positive.
x**(-122459/2394)
Simplify (q**(2/3)*q/(((((q**(-2/15)/q)/q)/q)/q)/q))**(-31)*(q/(q/((q/(q**(-6)/q))/q)))/((q*q/q**5)/q)*q**(-3)*q**(-3)/q assuming q is positive.
q**(-1034/5)
Simplify (i/i**(-8/7)*i/i**(-4/9))**(-6)*i**7*i*i/i**(-3)*((i*(i*i**(-7))/i)/i)/((i/i**2)/i) assuming i is positive.
i**(-305/21)
Simplify ((w**(1/3)/((w*w/w**1)/w*w)*(w*w/(w**(-1)/w*w)*w*w)**(-43))**(-36/5))**(3/2) assuming w is positive.
w**(11646/5)
Simplify (r**(-8)*r/(r**(-1/3)*r))/(r**(1/2)/(r/(r/(r/(r**(3/5)*r)*r))))*((r/r**(-2/5))/((((r/(r*r**(6/5)))/r)/r)/r))**(7/11) assuming r is positive.
r**(-1387/330)
Simplify ((l**39/l**35)/((l*l*l**42*l)/(l/l**(-26))))**20 assuming l is positive.
l**(-280)
Simplify (u*u**(-2/5))**(-43)*((u**7*u)/u)/u*u**(-3/7)*(u**(-2/3)/u)**(6/7)/(u/(u*((u**(-2/9)/u)/u)/u))**0 assuming u is positive.
u**(-758/35)
Simplify ((f*f**(-2/5)/f*f*f/f**6)/(f**(14/11)/(f*f**(-23))))**35 assuming f is positive.
f**(-10654/11)
Simplify (y**12/(y/y**12))/(y/y**(-35))**(-3/2) assuming y is positive.
y**77
Simplify ((((g**(-1/4)*g)/g)/((g**(-5)/g*g)/g)*(g*g**5/g*g*g*g)/g**(-5/4))**(-24))**(-40) assuming g is positive.
g**14400
Simplify ((w**(-1/5)/w)/(w*w**(-10)))**(-2/25)/((w**(2/3))**(-1/80)*(w**0)**(-24)) assuming w is positive.
w**(-1847/3000)
Simplify (((k**(2/11)/k**5)/(k**(-2/9))**(2/23))**3)**15 assuming k is positive.
k**(-54635/253)
Simplify ((o/((o**3*o)/o))/(o*o/(o*o*o**(-13/3)/o*o))*(o*o**(1/31)*o)/(o*o/o**(-2/25)))**(4/21) assuming o is positive.
o**(-59344/48825)
Simplify (m**2*m/(m/m**(3/7)))**(-17)*(m/(m*m*(m*m/((m/m**(-2/7))/m))/m)*m)**(-25)*(m/m**(2/3))/m**(2/5) assuming m is positive.
m**(-2467/105)
Simplify ((m**(3/2)*m**6)/(m**(4/9)/(m/(m/(((m*m**1)/m)/m)))))/((m**(-10)/m)/m*m/(m*m/m**(-1/2)))**16 assuming m is positive.
m**(4015/18)
Simplify (g**20/g*g**26*g**(-1/15)/(g*g*g/(g*g**(-7)*g)*g*g))**(-1/7) assuming g is positive.
g**(-524/105)
Simplify (((o**(-2/7))**(-12)/((o*o/((o*o/(o**(1/4)*o)*o)/o))/(o/(o/o**(-5/6)))))**(2/27))**(-8) assuming o is positive.
o**(-452/567)
Simplify (((o/(o/o**(2/17)))/(o/o**(-7)))/((o/o**(-1/5))/(((o**(2/3)/o)/o)/o*o)))/(o**(-8)*o/(o*o**(-8)))**(-44) assuming o is positive.
o**(-2656/255)
Simplify (((x/(x**6/x)*x*x/(x**(-3/7)/x))**(-1/53))**(-42))**8 assuming x is positive.
x**(-192/53)
Simplify ((((z**(-4)/z)/z*z**(2/17))/((z*z*z/((z*z/z**(4/7))/z))/z*z*z**(-2)))**(-41))**(-1/35) assuming z is positive.
z**(-31488/4165)
Simplify ((l**(-7/5)*l*l**(6/5)/l)/(l/(l**(-2/23) | {
"pile_set_name": "DM Mathematics"
} |
= 16*j**2 + j + 1. Let x(c) = -18*c**2 - c - 1. Determine -2*o(y) - 3*x(y).
22*y**2 + y + 1
Let w(c) = c**3 - 2*c**2 + 3*c - 1. Let y = 32 - 37. Let o = y - 0. Let v(z) = -z**3 + 4*z**2 - 5*z + 1. What is o*w(d) - 3*v(d)?
-2*d**3 - 2*d**2 + 2
Let i(h) = 5*h**2 + 41. Let t(s) = 6*s**2 + 40. What is -7*i(w) + 6*t(w)?
w**2 - 47
Let y(m) = 4*m**3 - 4*m**2 + m - 2. Let s(c) = -87*c + 13*c**3 - 3 - 13*c**2 + 91*c - 4 + 0. Determine 2*s(o) - 7*y(o).
-2*o**3 + 2*o**2 + o
Let q(z) = -22*z**2 + 3*z - 3. Let r(j) = -43*j**2 + 5*j - 5. Suppose -2*f - 28 = 4*b - 0*b, -f = 4. Give b*q(l) + 3*r(l).
-19*l**2
Let t(d) = -24*d**3 - 5*d**2 + 5. Let j(x) = 49*x**3 + 13*x**2 - 9. Calculate -2*j(g) - 5*t(g).
22*g**3 - g**2 - 7
Let i(v) = -2*v - 2. Let c = 639 - 643. Let h(n) = -3*n - 3. What is c*h(p) + 5*i(p)?
2*p + 2
Let c(w) = -26*w**2 + 8. Let s(y) = -13*y**2 + 2*y + 5. Let g(d) = -24*d**2 + 5*d + 10. Let q(i) = 2*g(i) - 5*s(i). What is 5*c(l) + 8*q(l)?
6*l**2
Let g(n) = -3*n**2 - 5*n - 7. Let b(d) = 2*d**2 - 28*d - 37. Let k(x) = 2*x**2 - 19*x - 25. Let i(o) = 5*b(o) - 7*k(o). Let q = 3 - -4. Give q*g(s) - 5*i(s).
-s**2 + 1
Let w(u) = 33*u**3 + 121*u**2 - 8*u - 9. Let s(o) = 8*o**3 + 30*o**2 - 2*o - 2. What is 9*s(r) - 2*w(r)?
6*r**3 + 28*r**2 - 2*r
Let i(x) = 299*x - 9. Let h(q) = 149*q - 4. Determine 5*h(s) - 2*i(s).
147*s - 2
Let q(t) be the third derivative of -t**5/60 - t**4/24 - 2*t**3/3 - 2*t**2 - 142*t. Let u(p) = 1 + 8 + 2*p + 3*p**2 + 0*p. Determine 9*q(x) + 4*u(x).
3*x**2 - x
Let g(s) = 2*s - 3. Let x be (-60)/(-25) - (-6)/10. Suppose -3*h - x = -9. Let r(d) = -5*d + 4 - 2*d + 3*d + 3. Give h*r(l) + 5*g(l).
2*l - 1
Let r(v) = -3*v**3 - 5*v**2 + 7*v - 4. Let n(p) = -4*p**3 - 6*p**2 + 9*p - 5. Give 4*n(g) - 5*r(g).
-g**3 + g**2 + g
Let f(w) = 3*w**3 - w**2 + 6*w + 6. Let i = 419 - 418. Let y(l) = -l - 1. What is i*f(h) + 6*y(h)?
3*h**3 - h**2
Let l(j) be the third derivative of j**6/120 - j**5/30 - 11*j**3/6 + 300*j**2. Let o(i) = i**2 + 4. Give 4*l(k) + 11*o(k).
4*k**3 + 3*k**2
Let f(u) = 4 - 4 - 14*u. Let j = 21 - 17. Let i(l) be the first derivative of -5*l**2/2 - 218. Calculate j*f(n) - 11*i(n).
-n
Let c(r) = -r + 3. Let w(n) be the third derivative of -n**4/6 + 4*n**3/3 + 40*n**2. Let z be 4/14 - 138/42. Give z*w(o) + 8*c(o).
4*o
Let q(o) be the third derivative of o**4/24 + o**3/6 - o**2. Let d be q(5). Let f = d - 9. Let w(s) = -4*s. Let z(v) = -5*v. What is f*w(j) + 2*z(j)?
2*j
Let b(k) be the second derivative of -k**3/6 - 410*k. Let s(d) be the third derivative of 7*d**4/24 - 2*d**3/3 + d**2. What is -6*b(v) - s(v)?
-v + 4
Let c(r) = -8*r + 26. Let f(y) = 15*y - 47. Give -7*c(v) - 4*f(v).
-4*v + 6
Let b(z) = -z**2 - z + 7. Let v(f) = 5*f**2 + 44*f - 29. Determine 4*b(u) + v(u).
u**2 + 40*u - 1
Let p(g) = -685*g**3 + 3*g**2 - 6*g - 3. Let u(t) = -2*t**3 + t**2 - 2*t - 1. What is p(r) - 3*u(r)?
-679*r**3
Let i(r) = 16*r**2 + 6*r - 11. Suppose -11 = -2*n + 2*f - 7*f, -8 = -4*n + 4*f. Suppose -25 = 2*m - n. Let u(o) = -3*o**2 - o + 2. What is m*u(k) - 2*i(k)?
k**2 - k
Let i(t) = -4*t**2 - t - 3. Let r(u) = -2 - 3*u**2 + 2*u + 0*u**2 + 2*u - 4*u - u. Determine 5*i(l) - 7*r(l).
l**2 + 2*l - 1
Let v(y) = -1. Let d(w) = w**2 - 5*w + 5. Let a be d(4). Let k(s) = a - 8 + 2*s - 4*s**2 + 3*s**2. Let u = 55 - 49. What is u*v(q) - k(q)?
q**2 - 2*q + 1
Let f(c) = 2*c - 6. Let w(s) be the third derivative of -s**3/6 + 147*s**2 - 2*s. Give -f(b) + 12*w(b).
-2*b - 6
Let f(s) = -5*s + 3. Let i = -33 - -40. Let m(w) = 2 + 16*w - 6*w - 7*w - i*w. Give -3*f(l) + 4*m(l).
-l - 1
Suppose -273*p + 286*p = -234. Let y(f) = -f + 9. Let w(v) be the third derivative of v**3/6 - v**2. Calculate p*w(u) + 2*y(u).
-2*u
Let v(i) = 1. Let y be -2*((-7)/2 + 3). Let j(k) = -k**2 + 2*k. Let l be j(y). Suppose -2*f - l = 1. Let b(w) = w**2 - 3. What is f*b(n) - 2*v(n)?
-n**2 + 1
Let t(h) = -h + 6. Let p(s) = -285*s - 24. Give -3*p(d) - 12*t(d).
867*d
Let m(b) = -2*b - 3. Let f be m(-2). Let k(n) = -2*n**2 + 4*n + 1. Suppose 0 = -0*c + 4*c + 20, -5*o - 4*c = 5. Let q(r) = -o*r - r + 3*r. Give f*k(z) + 3*q(z).
-2*z**2 + z + 1
Let i(j) = -4*j - 38 + 21 + 11 + 3*j**2 + 6. Let m(y) = 7*y**2 - 8*y. What is 5*i(u) - 2*m(u)?
u**2 - 4*u
Let x(q) = -201*q + 10. Let d(y) = 15778*y - 784. Give 5*d(n) + 392*x(n).
98*n
Let c(d) be the third derivative of -11*d**4/24 + d**3/2 + 83*d**2. Let n(u) = 12*u - 4. Determine -4*c(b) - 3*n(b).
8*b
Let x(k) = -11*k**3 + k**2 - 7. Let i = 280 - 284. Let s = -6 + 13. Let j(n) = -6*n**3 + n**2 - 4. Determine i*x(b) + s*j(b).
2*b**3 + 3*b**2
Let y(h) = 2*h**3 - 11*h**2 + 8*h + 18. Let m(a) = a**3 - 4*a**2 + 3*a + 6. Let q be (11/(220/(-12)))/((-2)/10). Give q*y(w) - 8*m(w).
-2*w**3 - w**2 + 6
Let w(z) be the second derivative of 11/6*z**3 + z**2 - 10*z + 0. Let u(t) = 6*t + 1. Calculate 7*u(q) - 4*w(q).
-2*q - 1
Let k(q) = -5*q**2 + 16*q + 392. Let p(u) = 3*u**2 - 10*u - 262. Give -5*k(o) - 8*p(o).
o**2 + 136
Let q(y) = 2*y - 1. Let w(o) = -3*o + 3. Let m(a) = -a**3 + 9*a**2 - 8*a - 2. Let t be m(8). Calculate t*w(h) - 5*q(h).
-4*h - 1
Let k(y) = 21*y**3 - 9*y + 211. Let z(d) = 5*d**3 - 2*d + 53. Determine 2*k(c) - 9*z(c).
-3*c**3 - 55
Let i(u) = -u**3 + u**2 + u. Let q(g) = -81*g**3 + 8*g**2 + 8*g. Give 40*i(h) - 5*q(h).
365*h**3
Let t(p) = 17*p + 2. Let z(o) = -17*o - 2. Calculate -3*t(a) - 2*z(a).
-17*a - 2
Let f(r) = 441*r**2 + 16*r + 3. Let p(l) = -6*l - 1. What is -f(s) - 3*p(s)?
-441*s**2 + 2*s
Let r = -1 + 12. Suppose 5*i + r = 1. Let f(j) = -4*j**2 - 3*j + 3. Let u(l) = -3*l**2 - 2*l + 3. Determine i*f(d) + 3*u(d).
-d**2 + 3
Let w(d) = -55*d + 18*d + 11*d + 15*d + 17*d. Let u(v) = v. Determine -3*u(n) + w(n).
3*n
Let a(v) = -429*v - 33. Let z(q) = -215*q - 18. Calculate 6*a(g) - 11*z(g).
-209*g
Let y(l) = l**3 + 2*l**2 - 5*l - 3. Let t = 498 - 503. Let g(x) = -x**3 - 2*x**2 + 4*x + 2. Calculate t*g(m) - 4*y(m).
m**3 + 2*m**2 + 2
Let j(y) = -2*y + 1. Let l(v) = 8*v. Determine 10*j(u) + 2*l(u).
-4*u + 10
Let k(j) = j. Let a(p) = 12*p. Suppose 0 = 60*d - 65*d + 10. Calculate d*a(m) - 18*k(m).
6*m
Let x(n) = 7*n**2 + 2*n + 4. Let q(b) be the second derivative of b**4/2 + b**3/3 + 5*b**2/2 + 296*b. Give 4*q(a) - 5*x(a).
-11*a**2 - 2*a
Let z = -20 + 7. Let i = z - -17. Let y(r) = r**2 - 4*r + 5. Let o be y(i). Let p(h) = -h**2 + 1. Let s(j) = -6*j**2 + 5. Calculate o*p(q) - s(q).
q**2
Let z(b) = -38*b**2 + 4*b - 1. Let o(f) = f. Calculate 4*o(h) - z(h).
38*h**2 + 1
Suppose -16 - 4 = 5*y. Let r(m) = -3*m**3. Let b(s) = -4*s**2 - 13*s + 5. Let l be b(-4). Let o(a) = 5*a**3 - a**2. What is l*r(v) + y*o(v)?
v**3 + 4*v**2
Let s(l) = 2*l**2 + 2*l + 1. Let v(y) = 3*y**2 - 18*y + 3. What is 4*s(r) - v(r)?
5*r**2 + 26*r + 1
Let s(j) = 3*j**3 - 8*j**2 - 6*j + 3. Let r(w) be the second derivative of -w**5/10 + 5*w**4/12 + 2*w**3/3 - w**2 - 2*w + 332. Calculate -8*r(d) - 5*s(d).
d**3 - 2*d + 1
Let o(b) = -b - 3. Let l = 1004 + -999. Let x(q) = q + 2. Let f be x(3). Let k(t) = -t - f - 1 + 0. Calculate l*o(n) - 3*k(n).
-2*n + 3
Let i = -3 + 0. Let n(f) = -6*f - 11*f - 2*f**2 - 3 + 38*f - 17*f. Let v(y) = -2*y**2 + 3*y - 2. Calculate i*v(j) + 2*n(j).
2*j**2 - j
Let z(j) = -13*j - 4*j + 15*j. Let d(q) = 3*q - 1. What is 2*d(k) + 2*z(k)?
2*k - 2
Let s = -685 + 674. Let x(l) = 20*l + 5. Let v(r) = -4*r - 1. What is s*v(a) - 2*x(a)?
4*a + 1
Let r(t) = -5*t**2 - 17*t + 7. Let w = 1130 + -1134. Let k(j) = 2*j**2 + 8*j - 3. Determine w*r(x) - 9*k(x).
2*x**2 - 4*x - 1
Let i(y) = -6*y**3 + y**2 + 2*y - 6. Let s(o) = o**3 - o**2. Let q(a) = i(a) + 3*s(a). Let f(c) = 13*c**3 + 9*c**2 - 9*c + 25. What is -2*f(h) - 9*q(h)?
h**3 + 4
Let f(u) = -19*u**3 + 8*u**2 - 7*u - 1. Let y(l) = -l**2 + l. What is -f(x) - 6*y(x)?
19*x**3 - 2*x**2 + x + 1
Let c(h) = h**3 - 8*h + 3. Let q(a) = -a**3 + 5*a + 4. Let u(w) = 7*w**3 - 33*w - 31. Let s(x) = 15*q(x) + 2*u(x). Give 2*c(p) + 3*s(p).
-p**3 + 11*p
Let v(z) = -75*z**2 - z. Let u(r) = -18*r**2 - r. Let q(s) = 3*u(s) - v(s). Let l(a) = 713*a**2 - 69*a. What is 2*l(o) - 69*q(o)?
-23*o**2
Let k(o) = 2*o. Let c(a) = 18*a - 50. Let q(v) = -9*v + 28. Let t(x) = 4*c(x) + 7*q(x). What is 10*k(y) - 2*t(y)?
2*y + 8
Let l(o) = 422*o**3 - 9*o**2 - 9*o - 45. Let k(y) = -y**2 - y - 5. Calculate -18*k(c) + 2*l(c).
844*c**3
Let p = -5 - -8. Suppose 5*z - | {
"pile_set_name": "DM Mathematics"
} |
How many weeks are there in 232285.69 days?
33183.67
What is six fifths of a micrometer in nanometers?
1200
How many meters are there in three eighths of a kilometer?
375
How many years are there in 935.1005 millennia?
935100.5
How many milligrams are there in 1/4 of a gram?
250
How many millimeters are there in 32/5 of a centimeter?
64
How many minutes are there in 3/7 of a week?
4320
How many days are there in 16286.0328 milliseconds?
0.00018849575
What is 1/5 of a litre in millilitres?
200
What is 83.28989 litres in millilitres?
83289.89
How many tonnes are there in 13692.55g?
0.01369255
How many seconds are there in 5/6 of a minute?
50
Convert 80856.12mm to meters.
80.85612
How many years are there in 6/25 of a century?
24
Convert 16499.9ml to litres.
16.4999
What is seven halves of a millisecond in microseconds?
3500
Convert 0.1663604 milligrams to grams.
0.0001663604
How many centimeters are there in 54/5 of a meter?
1080
How many litres are there in 7084.633ml?
7.084633
How many nanograms are there in 6/5 of a microgram?
1200
How many nanometers are there in 5296.619 meters?
5296619000000
How many milliseconds are there in 878.0725 hours?
3161061000
What is 62/3 of a decade in months?
2480
What is five eighths of a litre in millilitres?
625
What is 17/2 of a litre in millilitres?
8500
What is 1/5 of a millennium in months?
2400
How many months are there in 2/15 of a decade?
16
What is one fifth of a hour in minutes?
12
Convert 56316.54 grams to nanograms.
56316540000000
What is eight sevenths of a week in days?
8
How many kilograms are there in one quarter of a tonne?
250
How many centimeters are there in 3/25 of a meter?
12
How many decades are there in fifteen quarters of a millennium?
375
How many months are there in fifty-two fifths of a century?
12480
Convert 238662.2 millilitres to litres.
238.6622
How many nanometers are there in 3/32 of a millimeter?
93750
Convert 48291.06 centuries to decades.
482910.6
How many minutes are there in 34/9 of a week?
38080
What is 3/40 of a milligram in micrograms?
75
How many milliseconds are there in one twentieth of a second?
50
Convert 2647.0779 months to decades.
22.0589825
What is 51448.428 microseconds in hours?
0.00001429123
How many micrometers are there in 3/8 of a millimeter?
375
Convert 932877.3kg to micrograms.
932877300000000
What is 3/25 of a litre in millilitres?
120
How many centuries are there in 33648.5 millennia?
336485
Convert 595492.4ms to microseconds.
595492400
How many centimeters are there in 44801.09km?
4480109000
What is 4/3 of a week in hours?
224
How many milliseconds are there in 94963.48 minutes?
5697808800
What is 3/50 of a millimeter in nanometers?
60000
Convert 8443.446 nanograms to micrograms.
8.443446
What is 59.4685 nanograms in micrograms?
0.0594685
Convert 10.6055082ns to days.
0.0000000000001227489375
How many minutes are there in 1/6 of a hour?
10
Convert 0.1763684 hours to nanoseconds.
634926240000
How many millennia are there in 20435.721 months?
1.70297675
How many years are there in twenty-one eighths of a millennium?
2625
How many months are there in 4/3 of a century?
1600
What is 13/5 of a centimeter in micrometers?
26000
What is 3/5 of a kilometer in centimeters?
60000
How many meters are there in 1/4 of a kilometer?
250
How many milliseconds are there in fifty-seven fifths of a second?
11400
How many nanometers are there in 31.6908cm?
316908000
What is 6/5 of a litre in millilitres?
1200
How many milliseconds are there in 48681.5ns?
0.0486815
What is 1/4 of a litre in millilitres?
250
What is 1/4 of a tonne in kilograms?
250
How many decades are there in 9012.812 years?
901.2812
How many millilitres are there in 1/5 of a litre?
200
How many grams are there in 0.8171163 tonnes?
817116.3
How many meters are there in 21/5 of a kilometer?
4200
How many milliseconds are there in 49/5 of a second?
9800
How many milliseconds are there in four thirds of a minute?
80000
What is 1/5 of a litre in millilitres?
200
Convert 2886.4467ns to minutes.
0.000000048107445
How many minutes are there in 1/5 of a week?
2016
How many litres are there in 7.054603 millilitres?
0.007054603
What is 1/5 of a litre in millilitres?
200
How many micrometers are there in 0.281306 millimeters?
281.306
How many meters are there in 5423.367cm?
54.23367
How many months are there in one sixth of a century?
200
What is 0.0101452t in nanograms?
10145200000000
What is 1/20 of a kilometer in meters?
50
What is 6/5 of a litre in millilitres?
1200
What is 40.97559ml in litres?
0.04097559
How many micrometers are there in ninety-one halves of a millimeter?
45500
What is 13/12 of a millennium in months?
13000
How many millilitres are there in 13/4 of a litre?
3250
What is 0.0140257 years in months?
0.1683084
Convert 564864.6 tonnes to milligrams.
564864600000000
Convert 7.464815um to nanometers.
7464.815
What is fifty-four fifths of a milligram in micrograms?
10800
What is 1/28 of a week in minutes?
360
What is three tenths of a microsecond in nanoseconds?
300
What is 11/2 of a litre in millilitres?
5500
What is 858.2 millilitres in litres?
0.8582
What is five eighths of a decade in months?
75
How many litres are there in 3701.2ml?
3.7012
What is 29/5 of a century in months?
6960
What is 689.4405cm in meters?
6.894405
What is 29/5 of a milligram in micrograms?
5800
Convert 50.98218 centimeters to meters.
0.5098218
How many millilitres are there in 5.103811l?
5103.811
How many millilitres are there in 17/2 of a litre?
8500
What is seven quarters of a decade in months?
210
What is 85.2855l in millilitres?
85285.5
What is 6.173738 grams in tonnes?
0.000006173738
Convert 237.2217 months to centuries.
0.19768475
What is twenty-one halves of a kilogram in grams?
10500
Convert 0.6227115 months to centuries.
0.00051892625
Convert 65037.91 milliseconds to seconds.
65.03791
How many decades are there in 2345.093 millennia?
234509.3
How many years are there in five eighths of a millennium?
625
Convert 2.335901 years to centuries.
0.02335901
What is 31.37282 centimeters in meters?
0.3137282
What is 72/5 of a meter in millimeters?
14400
What is twenty-one eighths of a litre in millilitres?
2625
Convert 168920.2ms to nanoseconds.
168920200000
How many milliseconds are there in nineteen quarters of a second?
4750
How many millilitres are there in thirty-two fifths of a litre?
6400
What is fifteen quarters of a day in hours?
90
What is 0.7379965kg in micrograms?
737996500
Convert 2498.462 milliseconds to microseconds.
2498462
How many millilitres are there in twenty-five halves of a litre?
12500
How many milliseconds are there in one quarter of a second?
250
What is 3/10 of a millimeter in micrometers?
300
What is 85/6 of a year in months?
170
What is 1896.895ml in litres?
1.896895
How many millilitres are there in seven halves of a litre?
3500
Convert 163.22328 milliseconds to minutes.
0.002720388
What is 71.24097l in millilitres?
71240.97
How many grams are there in 3/5 of a kilogram?
600
How many milligrams are there in 285.9895kg?
285989500
What is 6/5 of a litre in millilitres?
1200
What is one fifth of a gram in milligrams?
200
What is 5/6 of a minute in seconds?
50
How many decades are there in 97931.07 millennia?
9793107
How many centimeters are there in 746363.1mm?
74636.31
How many microseconds are there in 86.51551 weeks?
52324580448000
What is sixty-one quarters of a century in months?
18300
What is eleven tenths of a week in minutes?
11088
What is 34/5 of a milligram in micrograms?
6800
What is eighteen fifths of a litre in millilitres?
3600
What is 0.6147679g in nanograms?
614767900
What is 3/7 of a week in days?
3
How many millilitres are there in 37/5 of a litre?
7400
How many meters are there in 80890.47 millimeters?
80.89047
How many centuries are there in 119850.6 months?
99.8755
How many seconds are there in 40.54648 hours?
145967.328
How many millimeters are there in 37/2 of a meter?
18500
How many milligrams are there in 5644.897 kilograms?
5644897000
What is three fifths of a millimeter in micrometers?
600
How many millilitres are there in seventy-five halves of a litre?
37500
What is 3/10 of a kilometer in centimeters?
30000
How many micrometers are there in 44.38605 meters?
44386 | {
"pile_set_name": "DM Mathematics"
} |
w - 35
What is the third derivative of -35947219*k**6 + k**2 - 9*k - 10865362?
-4313666280*k**3
Find the second derivative of 45016762*y**2 - 222921811*y wrt y.
90033524
Find the second derivative of 6*l**4 + 1075*l**3 - 8*l**2 - 11*l - 102762 wrt l.
72*l**2 + 6450*l - 16
Find the third derivative of -20075131*v**3 + 2*v**2 - 1420995*v - 2 wrt v.
-120450786
What is the third derivative of 518555762*m**5 - 778*m**2 + 204227*m?
31113345720*m**2
What is the second derivative of -9984*j**5 - 1064*j**4 + 54097518*j?
-199680*j**3 - 12768*j**2
Find the third derivative of 7*o*p*y**3 - 5*o*p + 2*o*y**3 - 9*o*y**2 + 449771*y**3 + 14*y - 1629 wrt y.
42*o*p + 12*o + 2698626
What is the derivative of -124269643*d**3 + 51588475?
-372808929*d**2
What is the second derivative of 26*g**4 + 61275*g**3 + 2995158*g?
312*g**2 + 367650*g
Differentiate -34*r**3 - 2995*r**2 + 3*r + 3652399.
-102*r**2 - 5990*r + 3
Find the first derivative of 4222*p*v - 3079*p + 580*v**2 + 384 wrt v.
4222*p + 1160*v
What is the second derivative of -11973751*r**3 - 24919982*r wrt r?
-71842506*r
What is the first derivative of -2*a**3*j - 229*a**3 + 31269*a + 46233608*j wrt a?
-6*a**2*j - 687*a**2 + 31269
Find the second derivative of -5288927*s**3 + 4484951*s.
-31733562*s
What is the derivative of 96*z**4 + 66531*z**2 + 11366622?
384*z**3 + 133062*z
What is the derivative of -31681388*w + 70164746?
-31681388
What is the third derivative of -10835092*n**3 - 8899*n**2 + 720*n + 1 wrt n?
-65010552
What is the second derivative of 69*z**4 + 29*z**3 + 39*z**2 + 107*z + 3391 wrt z?
828*z**2 + 174*z + 78
Differentiate 10*p*r*y**2 - p*r + p*y**2 + 902*p*y - 1153592*r**2*y**2 - 2*y**2 - 767 with respect to r.
10*p*y**2 - p - 2307184*r*y**2
Find the third derivative of -24237128*r**5 - 8154110*r**2.
-1454227680*r**2
What is the first derivative of 2*i**2*j - 70*i**2 - i*j - 2868*i + 29994*j - 145 wrt i?
4*i*j - 140*i - j - 2868
Differentiate -6065185*y + 4297312.
-6065185
What is the first derivative of -341947*c**2*i*x - c**2*i + 1566856*c**2*x + c*i*x - c*x wrt i?
-341947*c**2*x - c**2 + c*x
What is the second derivative of 2*q**5 + 2601*q**4 - 37*q**2 - 3760*q - 10816?
40*q**3 + 31212*q**2 - 74
Find the second derivative of -9686196*l**3 - 26*l**2 + 182485200*l + 1.
-58117176*l - 52
Find the first derivative of 1097154*m**3 - 84*m**2 - 581979060 wrt m.
3291462*m**2 - 168*m
What is the first derivative of 1172*g*n*s*u + 221*g*n - 4*g*s + n*s + 172*n*u - 959*n - 16*s*u - u + 2 wrt u?
1172*g*n*s + 172*n - 16*s - 1
Find the second derivative of -3*o**2*u**3 - 25701200*o**2 - 8925*o*u - 41*o - 33*u**3 + 2*u**2 wrt o.
-6*u**3 - 51402400
Find the third derivative of -268*w**5 + 11*w**4 + 498*w**3 + 189156*w**2 + 9*w - 2 wrt w.
-16080*w**2 + 264*w + 2988
What is the second derivative of 6068727*t**5 - t - 48117028 wrt t?
121374540*t**3
What is the second derivative of -28135416*c**3 - 15505951*c wrt c?
-168812496*c
Differentiate 43303725*c**3 + c - 30835830 wrt c.
129911175*c**2 + 1
Differentiate -3105847*n**2 + 2147961.
-6211694*n
Differentiate 7188023*j**2 + 3741706 with respect to j.
14376046*j
What is the third derivative of 7569643*b**2*u**2*x**3 - 1808*b**2*u**2*x - 155*b**2*u*x**2 - 5*b*u**2*x**2 - 9*u**2*x**3 wrt x?
45417858*b**2*u**2 - 54*u**2
Differentiate 759*r**3 - 11737*r**2 + 7*r - 180861744.
2277*r**2 - 23474*r + 7
Find the third derivative of -c**5*m + 3483*c**4 - 49*c**3*m + c**2*m + c**2 + 5*c + 15982*m - 1 wrt c.
-60*c**2*m + 83592*c - 294*m
Differentiate -6205970*m**3 - 4856864 with respect to m.
-18617910*m**2
Find the third derivative of -5237143*f*i**3*w**3 - 2*f*i**2*w**2 + 212*f*i**2*w + 3*f*i**2 - 36*f*i*w**3 - 7*f*w wrt i.
-31422858*f*w**3
Find the third derivative of -13061552*d**3 + 15196702*d**2 wrt d.
-78369312
Find the first derivative of -43*t**4 - 5142*t**3 + 26*t - 310110628 wrt t.
-172*t**3 - 15426*t**2 + 26
Find the third derivative of 245346980*c**3 - 4*c**2 - 292828*c - 59.
1472081880
What is the derivative of 6254*a*s + 379331*a + 359*s**2 wrt s?
6254*a + 718*s
Find the third derivative of 1398323*f**3*z - 2*f**3 + 18*f**2*z - 95*f**2 - 15*z + 52 wrt f.
8389938*z - 12
Find the second derivative of 2805*p**5*v**2 - 1989*p**2*v**2 - 3*p*v**2 - 4*p - 40*v**2 - 695*v wrt p.
56100*p**3*v**2 - 3978*v**2
Find the second derivative of -4*l*w**4 + 321*l*w**3 + l*w + 24073687*l - 4158*w**2 wrt w.
-48*l*w**2 + 1926*l*w - 8316
Differentiate -42550903*h*k + 21*k + 21954 with respect to h.
-42550903*k
Find the second derivative of -2*b**2*n*v - 108*b**2*n - 15643*b**2*v + 5511920*b*n*v + 2*b*n - v wrt b.
-4*n*v - 216*n - 31286*v
Differentiate 3*f**2*i - 2*f**2 - 943884*f*i + 94999*i + 169 wrt f.
6*f*i - 4*f - 943884*i
Find the second derivative of -14477287*t**2 + 52*t - 15681 wrt t.
-28954574
What is the third derivative of -18034872*v**3*x**3 + 152*v**3*x**2 + v**3*x + 156*v**2*x - 2*v*x + 2*v wrt x?
-108209232*v**3
Find the first derivative of -314206196*o + 814806972 wrt o.
-314206196
Find the third derivative of 1158793*t**6 - 1304085*t**2 wrt t.
139055160*t**3
Differentiate -212540*a*b**2*m - 94*a*b*m - 364*a*b + a + 10*b**2 + 31*b - 10 with respect to m.
-212540*a*b**2 - 94*a*b
What is the second derivative of -2*l**4 - 684*l**3 + 553*l**2 + 2715659*l + 1 wrt l?
-24*l**2 - 4104*l + 1106
Find the third derivative of 111594638*r*s**3 - 286*r*s**2 + 17*r*s + 18*r - 1 wrt s.
669567828*r
What is the second derivative of 106544583*c**3 - 90423702*c?
639267498*c
What is the first derivative of 10703*g*h - g*j**3 - 29*g - 5339*h*j**3 - 114*j**3 - 741*j wrt h?
10703*g - 5339*j**3
Differentiate -935777*b**2*p + 223*b**2 - 6*b*p + 1358*b + 4*p - 12 with respect to p.
-935777*b**2 - 6*b + 4
Differentiate -25712371*f - 80516605 wrt f.
-25712371
What is the third derivative of 90736220*u**4 - u**2 - 240*u + 25124 wrt u?
2177669280*u
What is the third derivative of 7515444*y**6 - 96*y**2 + 95546*y wrt y?
901853280*y**3
Differentiate -242923*m**4 + 8*m - 15918246 with respect to m.
-971692*m**3 + 8
Find the second derivative of -459449842*u**3 + 8755*u + 475.
-2756699052*u
What is the first derivative of 13390237*c - 4378282 wrt c?
13390237
Find the second derivative of -57411111*k**2 - k - 35745231.
-114822222
Differentiate -27*c**3*o**3 + 3846*c**2*o**3 + 44*o**3 - 5*o**2 + o + 51 with respect to c.
-81*c**2*o**3 + 7692*c*o**3
Differentiate -85780*f**3*j + 76*f**3 - 13*f**2 + 435*f*j**2 - 14*f + 79 with respect to j.
-85780*f**3 + 870*f*j
Find the third derivative of -10361*c**4*n - 63179*c**3*n**2 + 107489609*c**2*n**2 wrt c.
-248664*c*n - 379074*n**2
What is the derivative of 146929*v**3 - 2*v**2 - 2*v + 4209067 wrt v?
440787*v**2 - 4*v - 2
Differentiate -186570515*h - 79975253.
-186570515
Differentiate -h**4*w**2 - 12726111*h*w**3 - 30415*w**3 - 2*w + 149 wrt h.
-4*h**3*w**2 - 12726111*w**3
What is the second derivative of -128026595*a**2 + 2453*a - 20662 wrt a?
-256053190
What is the second derivative of -19*k**3*r + 2*k**3 - 881096*k**2*r - 107*k*r - 16*k - 27*r + 7 wrt k?
-114*k*r + 12*k - 1762192*r
What is the third derivative of -5725835*v**6 - 61*v**2 - 51079*v - 1 wrt v?
-687100200*v**3
Differentiate -33535259*s**4 + 7692479 wrt s.
-134141036*s**3
What is the second derivative of -2*a**3*r + 9979281*a**2*r**2 + a*r + a + 794*r**2 - 2*r + 1 wrt a?
-12*a*r + 19958562*r**2
What is the first derivative of -13991190*c**3*l + 136246*c**3 + 929*c**2 + 3*l**2 wrt l?
-13991190*c**3 + 6*l
What is the derivative of 5*d*j**2 + 12*d*j - 78635581*d + 7*j**2 - 6*j wrt j?
10*d*j + 12*d + 14*j - 6
Find the second derivative of 2077961*u**5 + u**3 - 2*u**2 - 22*u - 208897 wrt u.
41559220*u**3 + 6*u - 4
Find the third derivative of -2*l**5 + 1686*l**4 + 8409*l**3 + 37372862*l**2 - 2.
-120*l**2 + 40464*l + 50454
Differentiate 212075302*i*z + 40121173*z wrt i.
212075302*z
What is the second derivative of 466657*b**4 + 50*b**3 - 46738304*b?
5599884*b**2 + 300*b
What is the first derivative of 1458*f**2*i**3 - 533*f**2*i**2 + 177760251*i**3 wrt f?
2916*f*i**3 - 1066*f*i**2
Differentiate 5*j**3*u**2 - 15571585*j*u**3 - 8923028*u**3 with respect to j.
15*j**2*u**2 - 15571585*u**3
What is the first derivative of 7654084*g**2 + 3213532?
15308168*g
Find the third derivative of 125761910*y**3 | {
"pile_set_name": "DM Mathematics"
} |
+ 4*m - p - 185 = 0. Suppose -14*s = -3*h - 9*s + m, -5*s = -h + 14. What is the remainder when 116 is divided by h?
38
Let h(y) = -9 + 0 + 0 + 11*y. Let z = -458 - -470. Calculate the remainder when h(z) is divided by 14.
11
Let r(h) = 11*h**2 - 216*h + 1. What is the remainder when r(20) is divided by 9?
0
Let p(b) = -b**3 + 24*b**2 - 105*b - 22. Let s(n) = -n**3 + 6*n**2 + 7*n + 1. Let f be s(7). Calculate the remainder when p(18) is divided by (f - -1)*19/2.
13
Let z(u) = 3*u**3 - u**2 - u + 4. Let s be z(2). Suppose s*y - 12 = 19*y. Calculate the remainder when 8 is divided by y.
0
Suppose 32*a - 20 = 27*a. Suppose -11*l - 108 = -38*l. Calculate the remainder when a is divided by l.
0
Let q(o) = o**3 + 14*o**2 - 20*o - 13. Suppose -14*r + 19*r + 75 = 0. Let d be q(r). Let b = 72 - d. Calculate the remainder when 98 is divided by b.
8
Suppose 0 = g - 5*t - 2310, -3*g = 2*t - 2182 - 4646. Calculate the remainder when g is divided by 127.
121
Suppose -9*k = -11*k + p + 215, 4*k - 433 = -p. What is the remainder when k is divided by 50?
8
Let p = -819 + 1179. Suppose -13*c + p + 121 = 0. Calculate the remainder when 70 is divided by c.
33
Let y(f) = -2. Let m(w) = -4*w - 84. Let l(u) = -m(u) + 4*y(u). Calculate the remainder when 164/9 + 4/(-18) is divided by l(-18).
2
Suppose 14 = 2*n - 3*l, 0 = -3*n - 0*n + 5*l + 20. Suppose -19 = -n*c + 41. Let p(g) = -g + 32. What is the remainder when p(8) is divided by c?
0
Suppose -2*a - 9*x + 14*x + 332 = 0, 2*x = -2*a + 290. Calculate the remainder when 1959 is divided by a.
147
Suppose z + 3*j = 33, 4*z + 3*j - 107 = -20. What is the remainder when 1635 is divided by z?
15
Let n = 76 + -4. Suppose -7 = -y + 3*x, 4*y - x = 5*y - 15. Calculate the remainder when n is divided by y.
7
Let c(v) = -v + 7. Let y(p) = p + 9 - 6 - 16. Let d(t) = 7*c(t) + 4*y(t). Calculate the remainder when 23 is divided by d(-4).
5
Suppose -155*u + 291*u - 29376 = 0. Calculate the remainder when u is divided by 11.
7
Let p = -6390 - -6416. Calculate the remainder when 663 is divided by p.
13
Suppose 4*t - 2*s = 3*s + 89, -s + 104 = 5*t. Let x = -574 - -579. Suppose 68 = x*a + 4*m - 203, a - m = 56. Calculate the remainder when a is divided by t.
13
Suppose -2*j + 2*c = 12 - 102, 2*j - 65 = -3*c. What is the remainder when 54*10/105*21 is divided by j?
28
Let d(p) = 799*p + 5782. What is the remainder when d(-7) is divided by 110?
79
Let v = -23 + 14. Calculate the remainder when 93*(-6)/v - -3 is divided by ((-22)/8)/((-15)/120).
21
Suppose 0 = -130*g + 2359 + 4770 + 801. Calculate the remainder when g is divided by 60.
1
Let r = 14639 + -7760. What is the remainder when r is divided by 80?
79
Suppose 0 = 2*t - 5*j - 878 - 229, 0 = -4*t - 4*j + 2200. Let n = -480 + t. Calculate the remainder when n is divided by 10.
1
Let z = -25 - -33. Suppose z*t - 9*t = -2. Suppose -3*n = 4*r - 95, 5*r - 4*r - 30 = -t*n. What is the remainder when 97 is divided by r?
17
Suppose -30 = 47*f - 88*f + 2020. Suppose 45 = -4*x - 107. Let l = x - -57. What is the remainder when f is divided by l?
12
Suppose -1095 = 2*h + 3*i, 5*h + 3*i - i = -2754. Let f be 10/65 + h/39. Let v(l) = -3*l - 28. Calculate the remainder when 25 is divided by v(f).
11
Let t = -12614 - -12788. Calculate the remainder when 627 is divided by t.
105
Let w = 4 + 0. Suppose -2*s + 52 = 4*o, 5*o - 325 = 3*s - 469. What is the remainder when w/12 - 209/(-3) is divided by s?
32
Let m(l) = l**3 - 12*l**2 - 14*l - 17. Let b be m(13). Calculate the remainder when 15 is divided by ((-33)/55)/(2/b).
6
Suppose 5*g + 101 = t, 0*t + 76 = -4*g - 4*t. Calculate the remainder when (30/g)/(18/(-204)) is divided by 4.
1
Let x = -125654 + 125961. Calculate the remainder when x is divided by 75 - (1 + -3) - 0.
76
Let s(q) be the first derivative of 5*q**3/3 + 3*q**2/2 + 3*q + 41. Let i(v) = v**2 - 2*v - 3. What is the remainder when i(5) is divided by s(-1)?
2
Suppose 4*h - 5*p - 554 = 0, -h + 11*p = 15*p - 128. What is the remainder when 446 is divided by h?
38
Let f(u) = -u**3 - 3*u**2 - u + 5. Let i be f(0). What is the remainder when 89 is divided by (-18)/(-135)*i + 52/3?
17
Let y = -12848 + 12957. What is the remainder when y is divided by 1*3/((-3)/(-46))?
17
Let t = -502 - -498. What is the remainder when 7 is divided by t/(0 - 18/27)?
1
Calculate the remainder when (47 - 62)*((-8)/14 - (-5820)/(-252)) is divided by 26.
17
What is the remainder when (-112)/(-6)*(114/(-18))/((-72)/486) is divided by 17?
16
Let k be 2 - (-2)/4*-6. Let o be (3/9)/(k/(-9)). What is the remainder when 13*(-55)/(-5) + o is divided by 30?
26
Suppose 0 = -3*h + 5*j + 6285, 196*j = -5*h + 192*j + 10401. What is the remainder when h is divided by 95?
90
Suppose 0 = 2*a - 3*y - 78, a + 7*y - 2*y = 26. What is the remainder when (48/(-32))/(3/(-134)) is divided by a?
31
Suppose -22 - 5 = -s. Suppose s*z - 23*z = 20. What is the remainder when (-3 + 6)/(6/76) is divided by z?
3
Suppose 19 = -20*o - 41. What is the remainder when 39 is divided by 9 + o - (-3)/3?
4
Suppose -38*z = 17*z - 10*z - 1305. What is the remainder when 1765 is divided by z?
25
Suppose 0 = -3*u - 3*u + 24. Suppose -f + u*x + 17 = 0, -68 = -4*f + f - 5*x. Calculate the remainder when f is divided by 6.
3
Let t(x) = x**2 + 44*x + 3. Let a be t(-44). Suppose 5*y - 17 = -2*d, -a*d - 2*y + 6*y + 37 = 0. Calculate the remainder when 43 is divided by d.
10
Let f = 5868 - 5804. Suppose 4*z = 4, -2*z = -5*n + 25 - 7. What is the remainder when 31 is divided by f/(-6)*n/16*-6?
15
Suppose 2*r + 20 = 3*i, -2*r + 10 - 2 = 4*i. Suppose 0 = -3*f + 9, -3*n = -f + i*f - 864. Calculate the remainder when n is divided by 36.
33
Suppose -3*i = 3*i + 48. Let m(b) = -23*b - 60. Calculate the remainder when m(i) is divided by 32.
28
Suppose 6*o - 224 = -4*v, -17*v + 149 = -14*v - 5*o. What is the remainder when 113 is divided by v?
7
Let a(v) = 2*v + 0*v**2 - 5*v**2 + v**3 - 356 + 333. What is the remainder when a(7) is divided by 36?
17
Suppose 2*x - 4*g - 2282 = 0, 13*x - 17*x - 3*g + 4553 = 0. What is the remainder when x is divided by 60?
59
Let x(h) = -163*h**3 + 4*h**2 - 3*h - 1. Suppose 5*c - 34 = -29. Let o be x(c). Let w = -129 - o. What is the remainder when 64 is divided by w?
30
Let r = 7882 + -7875. What is the remainder when 112 is divided by r?
0
Let l = -17000 - -17031. What is the remainder when 1019 is divided by l?
27
Let c = 1635 + -1402. Calculate the remainder when c is divided by 70.
23
Let b be (29/(-2))/(1/(-2)). Suppose -83*t + b*t = -1782. Suppose -2*l = -14 - 182. What is the remainder when l is divided by t?
32
Suppose 4*g - 4*l - 36 = 0, -12 = -5*g + l + 53. Let x(b) = 3*b**2 - 34*b + 37. Calculate the remainder when x(g) is divided by 25.
24
Let q(n) = 9*n**2 - 30*n - 307. Let j = 24 + 16. What is the remainder when q(-6) is divided by j?
37
Let q(h) = -h**3 - 3*h**2 + 2*h - 3. Let y be q(-4). Suppose 4*g + y*z = 234, 2*g - 5*z - 158 = -g. What is the remainder when 109 is divided by g?
53
What is the remainder when 3438 is divided by ((-12)/(-9))/4 + -2 + (-558)/(-27)?
18
Let k(s) be the second derivative of 57*s**5/20 + s**4/3 - 4*s**3/3 + 3*s**2/2 + 161*s. Calculate the remainder when k(1) is divided by 10.
6
Let q(h) = 2*h**2 - 9*h - 143. Let k = 63 + -45. What is the remainder when q(14) is divided by k?
15
Suppose 4*t - 170 = 2*v, -348*t + 5*v = -347*t - 29. What is the remainder when 967 is divided by t?
43
Let p(a) = -5*a + 99. Let o be p(19). Suppose -5*l - o*r + 192 = -3*r, 112 = 3*l - r. What is the remainder when l is divided by 4?
2
Let k = 7338 + -7150. What is the remainder when 904 is divided by k?
152
Suppose 471 - 506 = -q. What is the remainder when 454 is divided by q?
34
Let a(z) = -z**3 + 13*z**2 + 17*z - 197. What is the remainder when 520 is divided by a(13)?
16
Suppose -3*j = u + 4*u + 1519, 2*j + 1019 = 3*u. Let y = j - -516. Calculate the remainder when 60 is divided by y.
4
Suppose -8*x - 934 + 6022 = 0. Suppose -5*m + x = 7*m. Let t(d) = 27*d + 1. Calculate the remainder when m is divided by t(1).
25
Suppose -22*w + w + 13 = -1646. What is the remainder when 619 is divided by w?
66
Let s = -610 + 721. Let j = -71 - -87. Calculate the remainder when s is divided by j.
15
Let j(a) be the first deriva | {
"pile_set_name": "DM Mathematics"
} |
rs of m(-19)?
2, 5, 59
Let a = 1908 - 1356. What are the prime factors of a?
2, 3, 23
Suppose 6*o = -668 - 58. Let j = o - -172. List the prime factors of j.
3, 17
Let f be 10/(-3)*21/(-2). Let j(v) = -36*v - 29. Let z be j(-1). Let c = f - z. List the prime factors of c.
2, 7
Let b be -1 + 4 + 378 + 2. Suppose -i + 624 + 368 = 5*d, -2*d + b = 5*i. List the prime factors of d.
199
Let p(w) = 3*w**3 - 5*w + 2. Let u be ((-616)/40)/(-7) - 2/10. What are the prime factors of p(u)?
2
Suppose -l = 3*s - 7297, -3*l - 4372 = -3*s + 2945. What are the prime factors of s?
2, 1217
Suppose -24*y + 19 = -25*y. Let m(r) = r**3 + 5*r**2 - 7*r. Let b be m(-5). Let j = y + b. List the prime factors of j.
2
Let k = -590 + 1369. What are the prime factors of k?
19, 41
Let z(y) = -y + 9. Let w be z(9). Let s = w + 24. Suppose 0 = -4*n - 4*t + s, 2*n + 3*n - 46 = -t. List the prime factors of n.
2, 5
Suppose 13 + 7 = 5*c. Suppose -c*d = -2*s - 12, 5*d - s = s + 14. Suppose -d*g + 3*h = -g - 5, 3*h = -3*g + 63. List the prime factors of g.
17
Suppose 5*l = 2*z + 20062, -3*l - l - 2*z + 16064 = 0. What are the prime factors of l?
2, 3, 223
Let o = -1497 + 2375. What are the prime factors of o?
2, 439
Let j(h) = 34*h - 13. Let y(d) = 68*d - 27. Let r(g) = -9*j(g) + 4*y(g). Let v(l) = -17*l + 4. Let k(t) = 2*r(t) - 5*v(t). What are the prime factors of k(3)?
7
Let v be 4/(-6)*(-30)/4. Let d(y) = -3*y - 20. Let z be d(-6). Let n = z + v. List the prime factors of n.
3
Suppose 3*k - k = -4. Let s be 282/(1 - k) + 3. Suppose -3*j = 2*n - s, -3*j + j + 62 = 2*n. List the prime factors of j.
5, 7
Suppose 0 = -4*a - 5*b - 30 + 7, -4*a = 4*b + 20. Let n(c) = c - 1. Let i(g) = 1. Let t(x) = i(x) - 5*n(x). List the prime factors of t(a).
2
Suppose 2*c = -c + 5*f + 16, -3*c - 4*f + 25 = 0. Let v(s) = s**2 - 14. List the prime factors of v(c).
5, 7
Let m(i) = 2*i**2 - 24*i - 173. What are the prime factors of m(18)?
43
Let l be 127*1 - (5 - 3). Suppose -2*s + 9 = -0*s - 3*q, 7 = 4*s + 5*q. Suppose -s*z + l = 2*z. What are the prime factors of z?
5
Let t(g) = g**3 - 8*g + 438. What are the prime factors of t(0)?
2, 3, 73
Suppose 5*n + 7 = 2*g, -g + 5*n = -7 + 6. Let r = 86 + g. List the prime factors of r.
2, 23
Let n(k) be the first derivative of -k**2/2 - 4*k - 7. Let w be n(-6). Suppose q - w = z - 4*q, -33 = -z - 2*q. What are the prime factors of z?
23
Let u = 90 + -17. Suppose u = y - 5*p + 29, -15 = 5*p. Suppose 4*g = 5*x + y, -2*g - 3*g + 28 = 2*x. List the prime factors of g.
2, 3
Let x(p) = -30*p + 11. Let v be x(-7). Suppose 51 = -5*c + v. What are the prime factors of c?
2, 17
Let p = 166 - 116. Suppose -12*f = -7*f - p. List the prime factors of (184/10)/(4/f).
2, 23
Suppose v + v = 362. Suppose 4*n - v - 55 = 0. List the prime factors of n.
59
Let d(c) = -c**3 + 7*c**2 - 3*c - 1. Let p be 10 + (-1 - (-9)/3). Let u be ((-10)/p)/((-6)/36). List the prime factors of d(u).
2, 17
Let y(g) = -g**2 - 17*g + 19. Let c be y(-8). List the prime factors of 26/c + (915/7 - 1).
2, 5, 13
Let u be ((-6)/(-4))/((-6)/(-12)). Let s be u - 2*(-2)/4. Let l(f) = f**2 + 5*f - 5. What are the prime factors of l(s)?
31
Suppose -5*k - 5 = -10*k. Suppose -3*t - 2*t = -4*g + 13, g - 2*t = k. What are the prime factors of g?
7
Suppose t + 13 = g, -3*t = 2*g - 0*g - 1. Let f be (-20)/(-6) + g/12. Suppose 3*d = -q + 4*q - 117, 4*q + f*d = 164. What are the prime factors of q?
2, 5
Let x(v) be the second derivative of -31*v**5/4 + v**4/12 + 2*v**3/3 + 3*v**2/2 + 5*v. List the prime factors of x(-1).
5, 31
Suppose 8*y + 3*y = 9779. What are the prime factors of y?
7, 127
Suppose -5*b - l = -5922, 12*b + 5912 = 17*b - 4*l. What are the prime factors of b?
2, 37
Let x(z) = 2*z**2 + 3*z**2 + 2 + 1. Let n be x(-3). Suppose -2*l + 16 = -n. List the prime factors of l.
2
Suppose -3*n + 58 = a, 0 = -5*a - 24 - 1. Let h(u) = -2*u - 5. Let k be h(-6). Suppose -k = -2*l + n. List the prime factors of l.
2, 7
Suppose 3 = 4*z - 5. Suppose -3*p = 2*s - 59, -5*p + 97 = -z*s + 4*s. List the prime factors of p.
19
Let g(v) = v**2 - 6*v + 1. Suppose -5*b - 2*n + 2 = 0, -2 = -b - 5*n + 3. Suppose b = 3*z + i - 26, -4*z + 37 = -4*i + 3*i. List the prime factors of g(z).
2, 7
Let w = -156 - -93. What are the prime factors of (-13617)/w + 1/(-7)?
2, 3
Let q be ((-4)/(-12))/((-2)/(-54)). Suppose 25 = 4*f - q*f. List the prime factors of 15/(-2)*6/f.
3
Let u = 0 - 0. Let a = -525 + 526. List the prime factors of (a + u)/(3/54).
2, 3
Let i be (-65)/(-15) - (-2)/(-6). Suppose z - 4*k - 5 = -6*k, -z - 19 = -i*k. List the prime factors of 36/16*(-32)/z.
2, 3
What are the prime factors of 1/((-15)/20)*-597?
2, 199
Let a = 4374 + -2594. List the prime factors of a.
2, 5, 89
Suppose 2232 = -44*d + 47*d. What are the prime factors of d?
2, 3, 31
Suppose -10465 = -7*v - 2912. Suppose 101 + v = 5*t. What are the prime factors of t?
2, 59
Let r(d) = 147*d**2 - 120*d - 1. What are the prime factors of r(-4)?
19, 149
Suppose 0 = 43*p - 12*p - 16027. What are the prime factors of p?
11, 47
Suppose x - 11*x + 3680 = 0. List the prime factors of x.
2, 23
Suppose -63*j = -64*j - 2. Suppose -2*z - 3*a - 235 = 0, -3*z - 4*a + 622 = -8*z. List the prime factors of z/(-4) + 3/j.
29
Let i = -1 + 28. Let t = 122 - i. Suppose 36*z + t = 41*z. List the prime factors of z.
19
Let v = -12 + 7. Let y be (-1)/v - (-552)/40. List the prime factors of (1/3)/(y/714).
17
Let f = -10 + 5. Let u(l) = -l**2 - 6*l + 3. Let w be u(f). Let d = w - -28. What are the prime factors of d?
2, 3
Let w(h) = 3*h - 7. Let k be w(4). Suppose 2*t + 5*n + 38 = -0, 0 = -5*t - k*n - 95. Let p = -11 - t. What are the prime factors of p?
2
Let a be 70*(4/10 + 0). Suppose a = m - 0. Suppose 2*q - q - m = 5*b, -q - 2*b + 21 = 0. What are the prime factors of q?
23
Let c(m) = -34*m**3 - 2*m - 1. Let u be c(-1). Let j be u*3 + (-9)/3. Suppose 0 = 5*s + v - j, 0 = -2*s + 2*v - 3*v + 42. What are the prime factors of s?
2, 5
Let a(h) = h**3 - 30*h**2 + 10*h + 20. What are the prime factors of a(30)?
2, 5
Suppose 85*y = 61*y + 50544. List the prime factors of y.
2, 3, 13
Suppose 64 = 3*d + u, 0*u = 5*d - 2*u - 125. Let h = 10 - d. Let a = -7 - h. List the prime factors of a.
2, 3
Suppose -5*w = 5*q - 23465, 5*q + 3520 = w - 1161. What are the prime factors of w?
4691
Let n = 16 - 13. Suppose n*c - 10 = 23. Let f(d) = d**2 - 9*d - 6. What are the prime factors of f(c)?
2
Suppose -5*r + 88 = 3*f, -5*f + 53 + 77 = 5*r. Suppose -4*h - f = -77. Let l = h + 20. What are the prime factors of l?
2, 17
Suppose -7*d = -5*d - 286. Let f = d - 62. What are the prime factors of f?
3
Suppose 11*m - 11877 = 11652. What are the prime factors of m?
3, 23, 31
Let w(m) = 110*m**3 - 109*m**3 - m**2 - 5 + 0*m**2. What are the prime factors of w(5)?
5, 19
Let j(i) = -i + 156. Let k be 3/(-2) + 12/(-16)*-2. List the prime factors of j(k).
2, 3, 13
Suppose 0 = -60*w + 58*w + 602. What are the prime factors of w?
7, 43
Suppose 11676 = 4*n - 6*m + 3*m, -3*m = 0. List the prime factors of n.
3, 7, 139
Let p be (2 + 3)/((-5)/(-2)). Let i(x) = 13*x**2 - 2. List the prime factors of i(p).
2, 5
Let t be 9/15 + (-24)/40. Suppose -5*b + 2*r + 485 = t, -5*b = 4*r - 9*r - 500. What are the prime factors of b?
5, 19
Let n(r) = -r**3 - r + 20. Let d be n(0). Suppose -w = w - d. Let p(c) = c**3 - 8*c**2 - 15*c + 5. What are the prime factors of p(w)?
5, 11
Let x be 4/(-3)*(0 + -12). Suppose 8*z - x = 8. Suppose 0 = -u + 3*s + 43 + 7, -z*u - 5*s = -150. List the prime factors of u.
2, 5
Suppose 0 = -5*g + 4*o + 33, 2*o + 2 = o. Suppose w + g*j = 17 + 23, -2*j = 8. Suppose -w = -2*r + 2*b - 14, -3*b + 57 = 4*r. What are the prime factors of r?
2, 3
Suppose 2*b + b = -15, 2*v - 257 = 5*b. What are the prime factors of v*(0 - 3)/(-6)?
2, 29
Let m be (-336)/15 + (-8)/20*-1. Let o = -37 - -6. Let h = m - o. What are the prime factors of h?
3
Let g = -24 + 48. Let l(z) = -5*z - 13. Let t be l(-11). What are the prime factors of (g/t)/((-2)/(-7))?
2
Let i(z) = -2*z + 110. List the prime factors of i(-10).
2, 5, 13
What are the prime factors of (480/64)/(3/116)?
2, 5, 29
Suppose -2736 + 307 = -7*g. What are the prime factors of g?
347
Let a = 170 - -421. What are the prime factors of a?
3, 197
Let k(r) = r**2 - 10*r - 11 | {
"pile_set_name": "DM Mathematics"
} |
*x + 12 = -13. Let o = x - c. Put o, 5, 4 in decreasing order.
5, 4, o
Suppose -152*q + 16 = -156*q. Let y = -3 + 3.1. Sort -0.2, q, y.
q, -0.2, y
Suppose -4*c - 21 = -a, a + c = 3*a - 49. Let s be (-10)/(-3) - (-8)/12. Suppose 0 = q + s*q - a. Sort 4, q, -3 in ascending order.
-3, 4, q
Let k be (-4)/2*20/(-30). Let a = -4 + 8. Let m = 99 + -497/5. Sort a, k, m in descending order.
a, k, m
Let y(h) be the second derivative of h**3/6 + 2*h**2 - 5*h. Let v be y(0). Put v, -2, -3/5 in descending order.
v, -3/5, -2
Let c be (-7)/(-21) + 16/6. Put 0, c, -4 in increasing order.
-4, 0, c
Let s = 0.02 + 0.02. Let d = s + 0.56. Let c = -0.6 + d. Sort 0.4, c, 0.5.
c, 0.4, 0.5
Let l = 666 - 662.97. Let t = l - 0.03. Let h = 6 - 1. Sort h, t, -0.5.
-0.5, t, h
Suppose -q - 8 = 2*n, -2*n + 20 = 3*n. Let p = q - -12. Put -3, 9, p in decreasing order.
9, -3, p
Let i be -5 + 2/1 + -1. Let k = -432 - -436. Put k, i, 4/7 in ascending order.
i, 4/7, k
Let q be 1/((-48)/(-15) + -3). Sort 3, q, 0.
0, 3, q
Suppose -3*b - 2*b = -15. Let w be ((-5)/2 + b)*0. Suppose j - 2 - 1 = w. Put -4, 2, j in descending order.
j, 2, -4
Let m = -13 - -8. Let l = 4 + -4.4. Put 0.4, m, l in decreasing order.
0.4, l, m
Suppose 5*d + 60 = -7*d. Let a(c) = -c**2 + 4*c + 5. Let i be a(4). Put i, 1, d in decreasing order.
i, 1, d
Let r = 0.28 - -1.02. Let b = -0.9 + r. Sort b, -4/3, -1.
-4/3, -1, b
Let z be -2 + (2 - 3)*0. Sort 5, 4, z in descending order.
5, 4, z
Suppose -3*u + 17 = 2*g, 0 = -4*g + 5*u - 3 + 4. Sort -4, g, 3.
-4, 3, g
Let h(r) = r**3 + 5*r**2 + 4*r - 4. Let c be h(-4). Let y be c - (3 + -5 + -2). Put 10, 4, y in increasing order.
y, 4, 10
Let w = -12 + 7. Let l = 2 + 3. Sort 0.2, w, l in decreasing order.
l, 0.2, w
Suppose -9 = -7*g + 12. Sort -2, -5, g.
-5, -2, g
Let k = -142 - -138. Sort k, 4, 2, 2/3 in decreasing order.
4, 2, 2/3, k
Let d = -181 - -109. Let k be 2/10 + d/(-15). Put k, 0.3, -0.3 in decreasing order.
k, 0.3, -0.3
Let y = 122 + -124. Sort -5, 5, -1, y in decreasing order.
5, -1, y, -5
Let x = -0.16 - 1.84. Sort 10, 0.5, x in descending order.
10, 0.5, x
Let z = 325/4 + -81. Let t = -98825/48 - -2059. Let k = t - -3/16. Put z, 4, k in decreasing order.
4, k, z
Let t be 39/(-9) + 2/6. Suppose -17 = 5*q + 3*z, -4*q + 25 = -9*q - 5*z. Let j(p) = -3*p - 2. Let o be j(q). Put o, t, -2 in decreasing order.
o, -2, t
Let s = -632 + 632.1. Let a be 1 + (-3)/(18/5). Sort 4/3, s, a in descending order.
4/3, a, s
Let b = -39/160 + -5/32. Let n be 10/(-4)*(-4)/(-45). Sort n, -1/4, b in increasing order.
b, -1/4, n
Let n(m) = 3*m - 7. Let x be n(-5). Let b be 1/3 + x/12. Let u = b + 1. Put 3, -5, u in ascending order.
-5, u, 3
Let q = 5.01 + -0.01. Let w = 0.03 - 0.05. Let s = 0.22 + w. Put q, -2/7, s in descending order.
q, s, -2/7
Let k be 3 - (-1 - (-2 - -3)). Sort k, -1, -4 in decreasing order.
k, -1, -4
Let s = -5 - -10. Let x(b) = -2*b - 15. Let m be x(-10). Suppose 3*o - 7 = -3*j + m, -s*j = 4*o - 15. Sort -3, 1, j in decreasing order.
1, j, -3
Let c = -6.82 - -7.4. Let l = c - 0.18. Sort -3, l, -2 in decreasing order.
l, -2, -3
Let z = 95.2 + -95. Sort 0, -4, z, -1 in decreasing order.
z, 0, -1, -4
Let l be 15/6*(0 - 2). Sort 3, l, -1 in increasing order.
l, -1, 3
Let k = 8 + -13. Put k, 0.3, -0.7 in descending order.
0.3, -0.7, k
Let z = -0.54 + 0.4. Let g = z + 4.14. Put g, -1/5, 2 in descending order.
g, 2, -1/5
Let p = 2.1 - 7.1. Sort 4, -2/5, p.
p, -2/5, 4
Let h = -9 - -4. Let m(b) = b**3 + 5*b**2 - 1. Let o be m(h). Sort 1, 3, o.
o, 1, 3
Let i = 152 - 156. Put 0.11, i, 0 in descending order.
0.11, 0, i
Let m(g) = -7 + 0 - g + 3. Let r be (1 - 2)/(2/10). Let l be m(r). Sort 3, l, 4.
l, 3, 4
Let y be (2/6)/(2/30). Suppose o + 5*q + 20 = 6*o, -25 = y*o + 4*q. Let n = -9 - -6. Sort o, n, 1 in increasing order.
n, o, 1
Let l be -1*10/65 + 0. Sort 1, -0.1, l in decreasing order.
1, -0.1, l
Let h = 68 + -69. Sort 4, -5, h in descending order.
4, h, -5
Suppose 0 = j - 2*m - 2, 4*j + 4*m + 28 = -0*m. Put 4, j, 7 in descending order.
7, 4, j
Let f = -8 - -13/2. Sort 1/6, f, 2 in decreasing order.
2, 1/6, f
Let b(z) = -z**2 + 9*z - 21. Let m be b(6). Sort m, 6, 0, 5 in decreasing order.
6, 5, 0, m
Suppose 2*f = -0*f + 28. Suppose -5*p + f - 39 = 0. Suppose -3*g = -g + 8. Put g, p, -2 in increasing order.
p, g, -2
Let r = 38 + -36. Let c(l) = -l**2 - 2*l + 4. Let v be c(-4). Put v, 5, r in decreasing order.
5, r, v
Let z(y) = 2*y - 4. Let x be z(3). Sort x, 4, -8, -2 in decreasing order.
4, x, -2, -8
Let a = -4 + 6. Suppose -37*l = -38*l + 1. Sort a, l, -4 in descending order.
a, l, -4
Suppose 0*b - 20 = -4*b. Let x = b - 9. Sort x, 1, 0.
x, 0, 1
Suppose 3*x = 16 - 4. Suppose -x*v = -v - 6. Sort 5, -2, v in increasing order.
-2, v, 5
Let t = -33 + 35. Put 3, 4, -1, t in decreasing order.
4, 3, t, -1
Suppose n - 2*n + 5 = 0. Suppose n*b = 0, 3*c - 4*b + 3 = -9. Suppose -2*o - u - 4*u = -8, u = -2*o. Sort c, o, 3 in decreasing order.
3, o, c
Let s = 8 - 3. Let x = -0.5 + -0.5. Let k = 4 + x. Put -1, k, s in decreasing order.
s, k, -1
Let c(u) = 2*u - 6. Let z be c(7). Suppose -4*n + 3 = l, 7 = -2*n + 5*l - z. Let t be (4 + n + 0)/2. Sort 0, -4, t in descending order.
t, 0, -4
Let z = 8.3 - 9. Let t = z + 0.4. Let i = -0.5 - t. Put i, -3, -5 in increasing order.
-5, -3, i
Suppose -17 = -2*t - 21. Sort 5, 0, 2, t.
t, 0, 2, 5
Let w(j) = j**3 - 4*j**2 - 2*j + 5. Let r be w(4). Let k(y) = y + 7*y - 5 - y**2 + 2*y**2. Let q be k(-8). Sort q, -1, r in decreasing order.
-1, r, q
Suppose -2*f + 5 = -6*f - 3*l, 10 = 2*f + 4*l. Suppose 0 = 4*q - 5*a + 6, 2*a = -31*q + 30*q + 5. Let r be -2*1*3/(-2). Sort f, q, r in descending order.
r, q, f
Let v = -0.05 + 5.05. Let m = -5 - -1. Let l = 0.1 + -1.1. Sort l, v, m in descending order.
v, l, m
Let d = -16 + 13.1. Let c = -3 - d. Let p = -1 + 2. Sort 3, p, c in descending order.
3, p, c
Let i = 8 + -7. Sort i, -1, 3 in decreasing order.
3, i, -1
Suppose 4*f + 5*i + 5 = 0, -f - 2*i + 1 = -0. Put 1, 5, f in descending order.
5, 1, f
Let g = -66 + 66.2. Put -3, 2/113, g in decreasing order.
g, 2/113, -3
Suppose i - 2 = 0, -4*p + 3*i + 44 = -6. Let b = 17 - p. Sort b, -4, -6 in increasing order.
-6, -4, b
Let l(m) = m**3 - 4*m**2 - 6*m + 7. Let y = 3 + 2. Let j be l(y). Let i = -6 + j. Sort 2/3, i, -1.
i, -1, 2/3
Let l be ((-3)/(-11))/((-3)/2). Let k = -11 - -15. Sort l, k, 0.1 in decreasing order.
k, 0.1, l
Let c = 6 + -1. Suppose c*m = 4*m + 5*t, -5*m - t = 0. Let k = 64 - 65. Put -3, k, m in decreasing order.
m, k, -3
Let t(h) = h**2 + 6*h - 12. Let u(v) = v**2 + 6*v - 13. Let w(k) = 5*t(k) - 4*u(k). Let p be w(-7). Put -4, p, 3 in decreasing order.
3, p, -4
Let k = 3 - 2. Let n = -1.5 + 1.8. Put k, n, -2 in increasing order.
-2, n, k
Suppose -w + 5*w - 16 = 0. Let i = 8 - 12. Suppose 1 - 6 = -5*s. Put i, w, s in descending order.
w, s, i
Let v = 3/16 + -91/16. Let o = v + 5. Sort -3, o, -5 in decreasing order.
o, -3, -5
Let l be ((-4)/(-3))/((-6)/(-9)). Let x be (l/(-10))/(5/(-25)). Sort 2, 0, x in ascending order.
0, x, 2
Let j = 0.043 + 0.957. Put -0.5, 9, j in increasing order.
-0.5, j, 9
Let a be 4 - 0 - (-14)/(-4). Put a, 0, -3 in decreasing order.
a, 0, -3
Let h = 3 + -1. Let k = 7 - h. Let f = -2.97 + -0.03. Sort k, -3/5, f in decreasing order.
k, -3/5, f
Let d = 19 + -17. Sort -14, -2, d in decreasing order.
d, -2, -14
Suppose 3*l - k + 1 + 12 = 0, 4*l - 4*k = -28. Suppose 9*w + 1 + 8 = 0. Sort w, -5, l in descending order.
w, l, -5
Let l = 17 + -19. Sort -0.1, 5, -3/5, l in descending order.
5, -0.1, -3/5, l
Let g = -10 - -14. Put -0.5, g, -4 in increasing order.
-4, -0.5, g
Let n = -4.4 - -4.3. Sort 0.3, -14, n in descending order.
0.3, n, -14
Let x(l) = -l**3 - 6*l**2 + 6*l - 7. Let y be x(-7). Suppose z + 0 - 1 = y. Suppose -5*u - 13 = -0*q - 4*q, u = -q + z. Put -4, -2, q in decreasing order.
q, -2, -4
Suppose -2 = -w + f, -3 = 2*w + f - 1. Suppose w = -5*m + 2 + 23. Suppose 2*j + 1 = -m. Sort 5, j, -1.
j, -1, 5
Suppose -9 = -5*s - 14. Let h = s - 3. Let q be (-2 - -2) + (-3)/8. Sort 4/7, h, q.
h, q, 4/7
Let n be (4/10)/(2/10). Let k be ((-27)/(-12) - n) + -1. Put 1/2, k, -2 in ascending order.
-2, k, 1/2
Let w = -0.8 + 0.4. Let p = 0.06 + -0.16. Sort p, -3/4, w in descending order.
p, w, -3/4
Let k(f) = -f**2 - 4*f | {
"pile_set_name": "DM Mathematics"
} |
440*y**3/3 + 97*y**2/2 - y + 36. Is v(7) composite?
False
Let s(l) = -12*l**2 - 2*l + 12. Let b(a) = 11*a**2 + 3*a - 11. Let j(w) = 3*b(w) + 2*s(w). Let c(x) = x - 1. Let h be c(-6). Is j(h) a composite number?
False
Let o = 36943 - 24162. Is o a composite number?
False
Let b(c) = 303*c - 1709. Is b(14) a prime number?
False
Let m(j) = -414*j + 1. Let p(l) = -3*l**2 - 29*l + 11. Let f(k) = -6*k**2 - 58*k + 23. Let c(y) = -3*f(y) + 5*p(y). Let i be c(-10). Is m(i) composite?
False
Let k = 296 + -293. Suppose l - 16886 = -5*q, 2*q - k*l - 6758 = -7*l. Is q composite?
True
Let b(a) = 100*a**3 + 4*a**2 + a - 7. Let i(z) = 198*z**3 + 9*z**2 + 3*z - 14. Let k(j) = -9*b(j) + 4*i(j). Is k(-2) a prime number?
False
Is -6 - (-64940 + 18/(-2)) prime?
False
Let s(a) = -18*a**2 + 4*a + 11. Let y be s(-6). Let l(o) = -216*o + 42. Let k be l(-6). Let n = k + y. Is n a composite number?
False
Let b(y) = -17140 + 17020 - 2*y + 300*y. Is b(17) a prime number?
False
Suppose 58*y - 218*y + 107015200 = 0. Is y prime?
False
Suppose 0 = -f + 69*n - 67*n + 662169, -1986523 = -3*f + 2*n. Is f a prime number?
True
Let b(s) = 12089*s**2 + 11*s + 19. Is b(-2) a prime number?
True
Let k(f) = f**3 + 6*f**2 + 4*f + 26. Let p be k(-6). Suppose -q = p*q - 2*q. Suppose -3*i + 3*n + q*n = -1587, 3*n = 5*i - 2653. Is i a prime number?
False
Let h(v) = -186214*v**3 - 6*v**2 + 7*v + 14. Is h(-1) a composite number?
True
Suppose 0 = 3*i - 6, -p + 1242 = -3*i - 246. Suppose -o + 10663 = p. Is o a prime number?
False
Let l = 1335 - 415. Suppose n = 4*h - n - l, 4*n = -8. Let w = h + -106. Is w composite?
True
Suppose -17*l + 4852542 = -6827257. Is l a composite number?
True
Let r be 4*1 - 4/(-2). Suppose -r*t = -10*t + 7788. Let i = t + -1316. Is i a prime number?
True
Let k = -632167 - -969750. Is k composite?
False
Let x(j) = 3*j**2 + 2*j + 1. Let g be x(-2). Is g/(27/6) - -3717 composite?
False
Let a(t) = 9*t + 292. Suppose 0 = -5*h - 2*b - 8, 8 = 7*h - 11*h - 2*b. Let n be a(h). Suppose 4*x + 361 = 3*i - n, -3*i = 5*x - 608. Is i composite?
False
Let t(b) = -2*b**2 - 13*b - 3. Suppose 0 = -u + 5, 5*v + 5*u = -6 + 1. Let a be t(v). Is ((-1)/a)/((-1)/327) a composite number?
False
Let k(p) = 31 + 2*p**3 + 13 + p - 3610*p**2 + 3600*p**2. Is k(11) a prime number?
False
Suppose -5*f - 31731 = -3*b + 78101, -b - 5*f + 36564 = 0. Is b prime?
True
Let g(w) = 7101*w - 1738. Is g(5) a prime number?
True
Let f(g) = 20*g**2 + 26*g - 3. Let k be f(-20). Suppose -8*v + 1619 = -k. Is v a prime number?
False
Let k be (205*2/15 + -5)/(3/81). Suppose 0 = 5*l + 2070 - 520. Let r = l + k. Is r composite?
False
Is (20/(-170)*17)/(2/(-2229835)) composite?
True
Let l be (1 + (-3)/6)*14. Suppose -l*r - 12 = -11*r. Suppose 4*f + 3*p - 2965 + 146 = 0, -r*p - 9 = 0. Is f a composite number?
True
Let d(i) = -3 - 4*i - 7 + 130*i**2 + 0. Let u be d(-4). Let f = -551 + u. Is f composite?
True
Suppose 0 = -192*k + 6897 + 206991. Is k a prime number?
False
Let i(z) = -z**2 + 8*z - 4. Let h be i(6). Suppose u + 490 = h*u. Suppose -y - b + u = -56, 5*y - 618 = -b. Is y a composite number?
True
Suppose -14*g = 653 - 2053. Let r = 4107 - g. Is r composite?
False
Let h(s) be the first derivative of -3*s**4/2 - 3*s**3 - 7*s**2 - 13*s - 115. Is h(-6) a composite number?
True
Let n = 253644 - 120577. Is n prime?
False
Suppose -p + 4*r + 116877 = 0, 82*p - 2*r - 116885 = 81*p. Is p a prime number?
False
Is 8/((-360)/(-13781817)) + (-40)/(-100) a composite number?
False
Suppose 7668550 + 4327829 = 9*y. Suppose 47*w + 127052 - y = 0. Is w composite?
False
Let d(n) = n - 1. Let h(m) = 77*m + 2. Let l(o) = -2*d(o) + h(o). Let b be l(2). Suppose -3*f + b = 4*f. Is f a prime number?
False
Let j(n) = -1737*n + 1099. Is j(-46) a composite number?
False
Let n(c) be the second derivative of c**7/2520 - c**6/72 - c**5/60 + 3*c**4/2 - 2*c. Let x(m) be the third derivative of n(m). Is x(13) a prime number?
True
Suppose 6649 = 10*m + 37249. Let x = m + 4861. Is x a prime number?
True
Let p(d) = 3075*d**3 - 3*d**2 + 36*d - 299. Is p(8) composite?
False
Let a = 7534999 + -5332514. Is a composite?
True
Let z be ((-2192)/3)/((-2)/9). Suppose -13371 = -9*i + z. Is i a composite number?
True
Let t(a) = a**3 - 6*a**2 - 9*a + 15. Let r be t(7). Is (-1259)/(r/2*(27 - 29)) composite?
False
Let p be (-5)/30*-19846 + 6/(-9). Let h = p - -13296. Is h prime?
True
Suppose 38*d - 19470205 - 18715631 = -14*d. Is d prime?
False
Suppose -i = 207 - 215. Suppose 0*h - i = -4*h. Suppose 0 = 3*s + 6, -2*b + 1310 = h*b + 3*s. Is b a prime number?
False
Let t(y) = y**2 + y - 55. Let a be t(7). Suppose 5*u - 3*o - o - 3401 = 0, o = a. Is u prime?
False
Let c = -105 + 121. Suppose 26*i = c*i + 57490. Is i composite?
False
Let l = -149 + 156. Suppose -2*d + 1874 = 2*c, -921 = 6*c - l*c - 5*d. Is c prime?
True
Suppose 42*q - 38*q + 20 = 0, 3*w + 4*q - 197263 = 0. Is w a composite number?
False
Suppose -3*b + 3*f + 203749 = -859439, b = -3*f + 354376. Is b a prime number?
True
Suppose 9*c - 48 = 51. Suppose 0 = c*b - 618 - 383. Is b a composite number?
True
Is (((-6)/9)/2)/((-5)/(3 - -3278892)) a prime number?
False
Suppose 4*i = 3*b + 91061, 13*i - 4*b + 22789 = 14*i. Is i prime?
True
Is (70084624/27)/16 - 4/(-54) composite?
True
Let u(g) = 88*g**2 + 30*g - 47. Let p = -296 + 316. Is u(p) a prime number?
True
Suppose 566*b - 226914099 = -33598980 + 31506307. Is b composite?
False
Let g(c) = 8*c**2 + 9. Let u be g(3). Let s be 18/u - (-102)/27. Suppose 4*a - 350 = -2*h, -4*a + 101 = -3*a - s*h. Is a prime?
True
Suppose 2 = 25*l - 24*l. Suppose 4*t = 4*n - 3884, -l*n - 4*t + 1912 = -0*n. Let o = n + 767. Is o composite?
False
Suppose 3556*j - 5*k = 3561*j - 19062000, 0 = 3*j - 5*k - 11437192. Is j a prime number?
True
Let p = 205 - 205. Suppose p = 4*c + 16*c - 19180. Is c a prime number?
False
Let k be (-2)/8 + 93/4. Let h(u) = 61*u + 12 - 192*u - 44 + u**3 + 115*u - 19*u**2 - u**2. Is h(k) a composite number?
False
Let g = 4716 + -2658. Suppose 6*z - g = 38724. Is z a prime number?
False
Let d(y) = 102*y**2 + 112*y - 3. Is d(-10) a prime number?
False
Let y = 106 + -105. Is (-30639)/(-21) - y*-1 - 3 a prime number?
False
Let p(z) = 7*z - 58. Let x be p(10). Is x/3 - (-19836)/12 a composite number?
False
Suppose -60574416 = -816*r + 648*r. Is r a composite number?
True
Suppose -2 = 11*p - 16*p - 4*s, -4*p = -4*s - 16. Let c be 2/((-3)/(31794/(-4))). Suppose -h = 5, c = p*g + 2*h + h. Is g a composite number?
False
Let b(l) = -541*l - 3330. Is b(-23) composite?
True
Let b(o) = 135*o**2 - o - 1. Suppose -j + 4 = 2*v, 4*j - 2*v + 14 = -0*j. Is b(j) a prime number?
True
Let b be -3 + (-4 - (-4 - 6)). Suppose -24 = -b*x - 4*j + 1, 12 = 3*j. Suppose -x*t = 4*n - 5095, 0 = t + t + 4*n - 3402. Is t a composite number?
False
Let q(g) = -122587*g + 1657. Is q(-6) prime?
True
Let v be (-5 + -1 + 0)/(-1 + -1). Suppose v*g = 15, 6*g - 25 = 3*r + g. Suppose -4*a + 3*a + 157 = r. Is a a composite number?
False
Let f(u) = u**2 - 4*u + 7123. Let p be f(0). Let j = p + -3464. Is j a prime number?
True
Let b = 23 + -14. Suppose -31*z + 62 = -62. Is 614 - (1/z + b/12) composite?
False
Suppose -4 - 6 = -y. Suppose 20 = -y*d - 0. Let w(x) = 239*x**2 - 2*x - 2. Is w(d) a prime number?
False
Suppose q = 5*q - 3*w - 13521, 2*q + 4*w = 6766. Let l = q - 1688. Is l a composite number?
False
Suppose 21 = 4*r + 5*m, 5 = -3*r + 4*m + 13. Suppose 3*p - w - 6606 = 0, r*p + 4*w - 8815 = 3*w. Is p composite?
False
Suppose 0 = -l - 3, -2*o + l = 4*l + 11. Is (-6980)/(-5) - (0 + o/1) composite?
True
Suppose -15*b + 169048 = -4*b. Let o = b + -6661. Is o a prime number?
True
Let t be (-487 + 2)*2/2. Let p = 821 - t. Suppose 2*w = -v + 2087, 3*v - p = -5*w + 3912. Is w composite?
True
Is (-69)/184 - (-1490163)/8 - (20 + -12) a composite number?
True
Let n(w) = 7 - 81*w + 32*w + 46*w + 2295*w**2. Is n(2) composite?
False
Let y(b) = 243*b**2 + 35*b + 185. Is y(19) a composite number?
True
Let d(m) = -6*m**3 - 6*m**2 - m - 5. Let r(f) = -f**3 + f**2 + f. Let k = -15 - -14. Let h(p) = k*d(p) + 5*r(p). Is h(-6) a prime number?
True
Let f be (-4 - -3 - 1) + 3. Let z(u) = -2*u + 2*u**2 - 3 - 1 - 8*u**3 + 0 - f. Is z(-5) composite?
True
Suppose 0 = 222*j - 345703 - 72582 + 38887. Let z = 137 + -83. Suppo | {
"pile_set_name": "DM Mathematics"
} |
0, 5*q - z = -2*r + r. Solve -4*p = -3*f - 1, 3 = 2*f + r for p.
1
Suppose -25 = -2*u - 3*u. Suppose u*y - 48 = -2*l, 2*y + 3*l - 4 = 3*y. Solve 4*m - y = 5*h, -m - 3 + 5 = 4*h for m.
2
Let q(x) be the first derivative of 4/3*x**3 + 0*x + 0*x**2 - 2. Let v be q(-1). Solve -3*p = -3*m - p + 1, v*p + 3 = 5*m for m.
-1
Let h = 5 - 3. Suppose 4*m + g = 4 - 16, -h = 5*m - 2*g. Let w be m/7 - (-214)/14. Solve -v - 5*n = -30, 3*v + 3*n - w = 15 for v.
5
Let i(q) = -30*q - 3. Let n be i(-3). Suppose -n = -5*k - c, -3 = -2*c + 1. Solve 2*d + 3*g = 4*d + k, d = -4*g + 19 for d.
-1
Let x(m) = -m**2 + 5*m + 37. Let y be x(9). Solve 2*s - 2*o = -2, -2*o + y + 1 = 2*s for s.
0
Let x be (14 - -3 - -2)/1. Solve x = -4*f - 3*q, 3*f - 2*q = -4*q - 14 for f.
-4
Let a be 4/(-3)*(0 - 3). Solve -3*s + 17 = -s + 3*n, -5*s - a*n = -25 for s.
1
Let v = 30 + -25. Solve -x + a = 2*x, 0 = -v*x + 3*a for x.
0
Suppose 4*c - 4*i = 16, -3*c - 4*i + 2*i - 3 = 0. Suppose -c = 3*w - 10. Solve 5*v = w*r + 9, -3*v + 2*r + 3 = -2 for v.
3
Let t(j) be the third derivative of -5*j**4/6 + j**3/6 + j**2. Let v be t(-1). Solve 3*c = 2*z + v, -c - 20 = -5*c for z.
-3
Let j = -1 + 3. Suppose -2*i = -2*d, -j*d + 12 = i + i. Suppose -n + 4 = 3*u, -3*u - 5*n + 10 + 10 = 0. Solve g + 4*z - 3 = u, -g - 2*z + i = z for g.
3
Let g = -10 + 12. Suppose 4*x = -16 + 116. Solve 7 = 4*u + y, 0 = -g*y - 3*y - x for u.
3
Let x = -3 + 7. Let y(h) = -2*h**2 - h - 1. Let b be y(2). Let n = -6 - b. Solve n*v = 2*i + 1, x*i - 9 = v - 2 for v.
1
Let a(r) = 13*r**2 + 2*r + 2. Let m be a(-1). Solve 2*v = -2*s - 8 + 4, v = 2*s + m for s.
-5
Let j(o) = 6 - 7 + o**2 - 9*o - 2*o**2. Let x be j(-9). Let z be (-1 + 2)/(x/(-2)). Solve 5*r = -2*w - z, -3*r + 3 = w + 4 for r.
0
Let d be (1 - 1)*(-2)/4. Suppose 6*s - 3*s - 3 = d. Solve -t + s = -3*z, t - 3*z + 19 = 5*t for t.
4
Let w(f) = f - 1. Let l be w(1). Suppose l = 4*d + b - 24 + 10, -d + 14 = -5*b. Solve -v + 4*k - 8 = 0, 0 = -v - d*k - 0*k for v.
-4
Let f = -1 + 11. Suppose -f = -5*v + 35. Suppose -h = -3*t, t - 8 = -2*h - t. Solve 0 = q - i - v, -13 - h = 4*i for q.
5
Let b(l) = -l**3 - 4*l**2 - 2*l - 5. Let w be b(-4). Solve -25 = 5*n - 5*d, 0*n - 3*n - w*d = -3 for n.
-2
Let l = 49 - 13. Suppose 4*y = 7*y - l. Solve -5*u + 45 = -4*m, -4*m - y = -3*u + 23 for m.
-5
Let f(d) be the second derivative of d**3/6 + 3*d**2/2 - 2*d. Suppose 0 = -5*m + 2*m. Let b be f(m). Solve -3*p = 5*n - 6*n + 3, -p = -b*n + 9 for p.
0
Let d be ((-1)/(-1))/(3/15). Suppose -d*h + 11 + 4 = 0. Suppose 6*b - h*b = 12. Solve 0*f + b*f - 3 = 3*k, 2*k + 13 = -f for f.
-3
Suppose 26*w - 4 = 24*w. Solve 0 = -w*y - 5*a - 9, 0*y + 5*a - 5 = 5*y for y.
-2
Let t(v) be the first derivative of v**2/2 + 4*v + 2. Let w be t(-3). Let j be (w - -2)/(3*1). Solve -3*c = -3*b + j - 25, 4*c - 3*b - 29 = 0 for c.
5
Suppose 5*a - 9 = -5*w + 41, -2*w + 40 = -3*a. Solve 3*d + 1 + 2 = 3*n, -2*n - d = -w for n.
5
Let m = 7 + -10. Let u be -3*m*6/27. Solve -2*l + 2*i = u*l - 28, -5*l = 4*i - 9 for l.
5
Let y(r) be the second derivative of r**4/12 + 5*r**3/6 + 3*r**2/2 - 2*r. Let w be y(-5). Let u = -51 + 77. Solve 5*t = w*n + u, 3*n - 2*n - 3*t = -14 for n.
-2
Let w(o) = -6*o**2 + 9*o + 3. Let a(b) = -5*b**2 + 9*b + 3. Let q(f) = -5*a(f) + 4*w(f). Let j be q(10). Solve -j - 13 = 4*h + 3*m, -2*h - 2*m - 12 = 0 for h.
-2
Suppose -2*o = 5 - 3. Let x be 2*-1 - 1*-3. Let d be 5*x - 0/o. Solve 4*n = d*p + 31, 0 = -4*n + n + 3*p + 21 for n.
4
Let d = -1 + 4. Let q(c) = c + 15. Let l be q(-11). Solve 0 = 4*p, d*p - 3 = l*i + 1 for i.
-1
Let z = -1 + 9. Suppose 9 = -5*m + z*m. Solve -2*l - 2*w + 11 = m*w, 4*w = 5*l - 11 for l.
3
Let t be (12/2)/(6/21). Suppose -o + 17 = -6*b + 3*b, 0 = -5*o - b + t. Solve w - 3*c = 2, o = -2*w - 2*c - 7 for w.
-4
Suppose -8*r - 4 = -9*r. Let o be (-24)/16*r/(-3). Solve y - 3*c - 20 = 0, y + o*c = -3*c - 20 for y.
5
Let f = 10 + 9. Let i = f + -16. Solve -3*g - 5*u = 37, 4*g - i*u = -u - 6 for g.
-4
Let s be 4/10 + 276/10. Suppose 4*j = 4*n + s, 4*j = 2*n - n + 16. Solve -j*q - 5*l = 0, 0 = 4*q - 9*q - 4*l for q.
0
Let i(m) = 2*m - 9. Let b be i(7). Solve -3*v + b = -8*v, 3*v = -5*g + 17 for g.
4
Let u be 1/(-3) + 2/6. Let p(z) = z + 14. Let k be p(-10). Suppose 3*m + 2*m - k*x - 76 = u, 3*m + 2*x = 50. Solve -y + j = -4, -2*y + 5*y - 5*j = m for y.
2
Let f(x) = x**3 + x**2 - x - 14. Let a be f(0). Let b be 18/(-63) - 102/a. Solve -5*y = -3*q + 6, b*q - 2*q = -5*y + 10 for q.
2
Let p be (-8)/(-3) + 2/6. Let d be (12/8 + -2)*0. Suppose d = 6*w - w - 25. Solve -i - 11 = -0*t - w*t, p*i = 4*t for t.
3
Let n be 6*((-30)/9 + 2). Let g be (-116)/n - (-1)/2. Let r be (-1 - -3)*g/6. Solve 3*u + 4 - 2 = -2*p, r = -5*p - 3*u for p.
-1
Let r(y) = y + 1. Let t be r(4). Solve 33 = 2*l - t*q, -q = 2*l + q + 2 for l.
4
Let o(v) = v + 2. Let b(l) = -2*l**2 - 2*l + 2. Let d be b(-2). Let w be o(d). Suppose -3*j = j - 96. Solve 6*y - 3*y = -3*a, -4*y + 2*a - j = w for y.
-4
Suppose 0 = 2*x - 5*r - 19, -r = 2*r + 9. Solve 5*n - 13 = -x*v, -n = 5*v - 22 + 1 for v.
4
Let d be (-15)/10*(-4)/3. Solve -10 = -3*b - d*b - 3*m, -3*b + m + 20 = 0 for b.
5
Suppose 25 = -2*m + 7*m. Solve -y = -m*o - 2, 4*o = 2*y + 3 - 1 for y.
-3
Let s = -52 - -56. Solve 0*x = 4*x - g + 21, -24 = 4*x - s*g for x.
-5
Let s = 109 - 107. Solve 2*r + 0*c = s*c - 20, -20 = -r - 5*c for r.
-5
Suppose 5*h - 24 + 2 = 2*m, -3*m + 6 = -h. Let o(t) = -2*t + 1. Let v be o(3). Let b = v + 10. Solve -h*q = -3*q + 9, -b*q = f + 12 for f.
3
Let y = 62 - 60. Solve -4*d - 3*t - y = 0, -2*t = 5*d - 0*t + 6 for d.
-2
Let l(b) = -b**3 + 8*b**2 + 10*b - 5. Let j be l(9). Let n = 0 - j. Let f be (n/(-2))/2 + 1. Solve -f = -a + 3*t - 5*t, -4*t = a - 4 for a.
0
Suppose 2*r = -r + 12. Suppose 0 = -6*h + r*h. Solve h = -q + p, -2*q = -5*p + 3 + 6 for q.
3
Let m be (-9)/(-4) - (3 - (-135)/(-36)). Solve t + 21 = -2*t + 5*z, 15 = -3*t + m*z for t.
-2
Suppose 0 = -3*o - 6 - 0. Let k = -1 - o. Let l(r) = 6*r**2 - 1. Let v be l(k). Solve 0*b - v = 2*m - 3*b, 3*m + b = -13 for m.
-4
Let m = -143 + 148. Solve 0*a - 10 = -2*a, 4*y - m*a + 9 = 0 for y.
4
Suppose 4*f - 16 = -3*k - f, 3*k = -f + 8. Suppose -c + 13 - 3 = 4*x, 2*x - 10 = k*c. Solve 5*m - x*u + 4 = 14, 20 = -4*u for m.
-1
Let u(l) = l**3 + 7*l**2 - 2*l - 11. Let v be u(-7). Suppose 0 = 4*g - v*f - 53, 5*g - 2*f - 26 - 42 = 0. Solve -o + 2*h + 2 = 3*h, 3*h + g = o for o.
5
Let t(l) = -2*l - 5. Let a be t(-4). Let d = 35 - 29. Solve u - d*u - a*y = 10, y - 10 = 5*u for u.
-2
Let m be 1/(3/198*2). Suppose -5*i = x - m, -4*x = 4*i - 43 - 9. Solve -n + 2 - x = -5*d, -5*d = 5*n for n.
-1
Let g(d) = -3 + 1 + 8*d + 3. Let t be g(1). Suppose -2*n - n = -t. Solve 3*x + 5*p - 18 = 0, n*x + 5*p = 3*p + 9 for x.
1
Suppose -4*n - 5*m = -43, 4*n - 7 = 3*n - 5*m. Solve 3*z = 3*a - 4 + 16, a - n = -3*z for z.
4
Let v = -3 - -5. Suppose t - 5*z = -10, -v*z - 2*z = -12. Solve 3*c - 2*p = -4 - 1, t*p + 25 = -5*c for c.
-3
Suppose -2*s = 3*b - 15, 19 = 2*s + 5*b - 2. Let i = 4 - 1. Solve o + s*y - 1 - 9 = 0, -i*o + y = 0 for o.
1
Let g(t) = -4*t - 6. Let s be g(-2). Solve -3*w + 6*w + 4*o = -4, 0 = w + s*o + 2 for w.
0
Suppose -7 = 4*t + 21. Let m(g) = -g**3 - 7*g**2 - 2*g - 9. Let s be m(t). Solve 0 = l - c, 5*c - 3*c = s*l + 9 for l.
-3
Let f(t) = t**3 + 9*t**2 - 2*t - 6. Let d be f(-9). Let g be 1 + 1 - d/(-6). Solve -w = 4, 0*w = g*h - 2*w - 8 for h.
0
Let q be ((-12)/(-14))/(1/14). Let i = -10 + q. Solve i*t + r - 20 = -3*t, 0 = 4*r - 20 for t.
3
Suppose 0 = 5*m - 3 - 77. Suppose -2 = g - 2*g. Suppose 3*z - 21 = -3*u, g*u - 31 = -5*z - 2*u. Solve -z*k - 3*n = -6*n - 9, 4*k = 5*n + m for k.
-1
Suppose 2*m + 25 = 5. Let t = m + 15. Solve t*s = -0*h + 4*h + 35, 5*h + 3*s = -16 for h.
-5
Suppose k + 4*k = -5. Let t be k/4 - (-84)/16. Let d(l) = l**3 - 3*l**2 - 6*l. Let i be d(t). Solve -i = -5*x + 2*g + 3, 5*x - 26 = -g for x.
5
Let s be 2/(-5*2/(-65)). Suppose 0 = 11*w - s*w + 48. Solve f - 4*x = -w, -2*f - 9 - 14 = -3*x for f.
-4
Let v(p) = p**3 - 2*p**2 - p - 3. Let i be v(3). Solve 4*k = 5*h - 12, k + h = 3*h - i for k.
-3
Let n be ((-2)/(-9))/((-2)/(-18)). Solve -3*q - 23 = -2*b, -q - 13 = -4*b + n*b for q.
-5
Suppose -3*j = -2 - 1, f - 1 = j. Suppose f*c - 4 = 2*k, c + 3*k = 2 - 8. Let u be (0 + -1)*(c + -3). Solve | {
"pile_set_name": "DM Mathematics"
} |
ose -4*c + 4266 + 6 = 0. Let k = -302 + c. What is the hundreds digit of k?
7
Suppose 41*y = 88 + 18895. Let p = -157 - -448. Let c = y - p. What is the tens digit of c?
7
What is the hundreds digit of (3/(-10))/((-172)/20896280)?
4
Suppose 53*f + 68*f - 1768846 = 1388528. What is the units digit of f?
4
Suppose -l = -10*l + 36. Suppose -89 = -3*z - l*q, 166 = 5*z - 3*q + 37. Let s = 15 + z. What is the units digit of s?
2
Let m(h) = -13*h**2 - h - 1. Let x be m(1). Let l be (4/(-5))/(1/x). Let a(b) = 5*b - 5. What is the tens digit of a(l)?
5
Let w(m) = -40*m**3 - 5*m**2 - 10*m - 4. Suppose 2*g - 6 = 5*b, 10 = g - 4*g - 2*b. Let v be w(g). Let y = v - 163. What is the units digit of y?
3
Let c = 20356 + -13334. What is the hundreds digit of c?
0
Suppose -u + 28 = s + 3*u, 101 = 5*s + 7*u. Suppose d + 6*l - 2*l = 757, -3*d + 2*l = -2229. Suppose -21*v + d = -s*v. What is the hundreds digit of v?
1
Let d(w) = 950 + 4*w - 2*w + w - w - 44. What is the hundreds digit of d(0)?
9
Suppose 3*z + 48118 = -3*y - z, y + 5*z = -16032. What is the units digit of 6/(-33) + y/(-22)?
9
Let q(z) = z**2 - 2*z - 121. Let m be q(0). Let n = m + 122. What is the units digit of (-4)/(16/428)*n/(-1)?
7
Let k = 7013 - -5943. What is the hundreds digit of k?
9
Suppose -3*h + 7*h = 2*h + 330. What is the hundreds digit of h?
1
Suppose 1368011 + 6040539 = 495*t - 8575000. What is the tens digit of t?
9
Let l be 162/45 + 6/(-10). Suppose l*m + 852 = 3*y, -3*y - 1465 = -8*y - 4*m. What is the units digit of y?
9
Suppose 3*n - 8 = -2*q, -11 = -5*n - 5*q + 4. Suppose 8 = n*r, 3*x - 5*r - 85 = -2*x. Suppose 4*u + x = -5*i, u - 2 = i + 4. What is the units digit of u?
1
Let h be 6/(-27) - (-2387)/9. What is the tens digit of (261/145)/(3/h)?
5
Let c be (2/1 - 2)*1/(-2). Suppose -4*w + 440 + 132 = -4*n, c = 4*n - 8. Suppose 575 = 16*d - w. What is the tens digit of d?
4
Let w = -209 - -215. Suppose 704 = 2*d + 3*b, -10*d + w*d + 2*b = -1392. What is the hundreds digit of d?
3
Suppose 4*r + 147 = s + 9*r, 0 = -4*s - 3*r + 503. Let c = 190 + s. What is the hundreds digit of c?
3
Let f = -32 + 43. Let z(c) = -c + 11. Let w be z(f). Suppose 11*m - 16*m + 95 = w. What is the tens digit of m?
1
Let p(r) = -20*r**2 - 9 - 15*r - 3*r**3 + 8*r**3 - 6*r**3. What is the tens digit of p(-20)?
9
Let s be ((-6)/12)/(0 - 3/108). Suppose -42 = s*t - 4758. What is the hundreds digit of t?
2
Let z(b) = b**3 + 6*b**2 - b - 2. Let v be z(-6). Let w(d) = v*d - 62*d**2 - 4*d + 63*d**2 - 13. What is the tens digit of w(-5)?
1
Let g = 31 - -334. Let h(j) = j - 5. Let o be h(9). Suppose 5*n = 4*n, 5*s = -o*n + g. What is the units digit of s?
3
Let q = -128 - -128. Suppose -5*o - 5*n + 1935 = q, 0 = -10*n + 5*n. What is the hundreds digit of o?
3
Let q be (-58)/(5/25*(-4)/2). Suppose -s - 155 = -6*s. Suppose s*m - 36*m + q = 0. What is the units digit of m?
9
Let c(o) = 26*o**2 - 3*o - 14*o + 17*o - 2. Let i be c(-2). Let x = 132 - i. What is the units digit of x?
0
Suppose 19*c - 739652 = -47*c + 379444. What is the units digit of c?
6
Let f = 26 - 21. Suppose -p + 2*p + f*i = -5, -3*p + 5*i = -25. Suppose 1203 = p*t + y, 966 = -0*t + 4*t + 2*y. What is the units digit of t?
0
Suppose -46609*z = -46628*z + 1406988. What is the tens digit of z?
5
Suppose 2*c - 1275 = -319. Let s = -226 + c. Suppose 4*j + w = -j + 256, -5*j = -3*w - s. What is the units digit of j?
1
Suppose 0 = 713*j - 203*j - 3741870. What is the tens digit of j?
3
Suppose 14*u = -786 + 226. What is the units digit of (-32)/u - (2844/(-10))/2?
3
Let a = -201 + 141. Let q be (-90)/a - 34/(-4). Suppose 60 = 12*j - q*j. What is the units digit of j?
0
Let w(k) = k**2 + 5*k - 19. Let n(f) = 9*f**2 - 2*f**3 - 35 + 29 + 4*f**3 - 17*f. Let j be n(-6). What is the units digit of w(j)?
5
Let t(o) = -64*o - 120. What is the tens digit of t(-20)?
6
Suppose -66 = -7*c + 53. Suppose -4*g + 15 = 4*d - c, 3*g = 5*d - 16. Suppose g*a - 3*i = 483, 2*i + 808 = 5*a - 0*i. What is the hundreds digit of a?
1
Suppose 13*v - 17*v + 3396 = 0. Suppose 0 = -11*r + 8*r + v. What is the hundreds digit of r?
2
Let d(n) = -n**3 - 8*n**2 - 6*n - 8. Let h be d(-8). Let q(x) = -3*x**3 + 4*x + 2. Let m be q(-2). Let c = h - m. What is the units digit of c?
2
Let t = 47818 - 23556. What is the units digit of t?
2
Suppose 0 = -d + 13*d - 3540. Let y = d - 423. Let z = -87 - y. What is the units digit of z?
1
Let j be -3 - (-249 + 0)*(-3)/(-9). Suppose -83*x = -j*x - 2688. Suppose 15*h - x = 8*h. What is the tens digit of h?
2
Suppose -2*b = g - 1265, 5*b + 5*g - 859 = 2316. Suppose x + 4*x = -b. Let q = x + 216. What is the units digit of q?
0
Suppose -2*x - 3*x - 126 = -p, -4*p = 4*x - 624. Let s be (-28)/(-6) - (-4)/12. Suppose p = s*a + 36. What is the tens digit of a?
2
Let g be (-6)/(-5)*10/3. Suppose 2*p + 8 = 6*p, -g*s = -2*p - 704. Let q = -103 + s. What is the tens digit of q?
7
Let d = -644 + 624. Let h(p) = 2*p**2 + 29*p + 54. What is the hundreds digit of h(d)?
2
Let s be (26/(-52))/(-1*2/5272). Let k = s - 771. What is the tens digit of k?
4
Let j be 8/20 - (-214)/(-10). Let t = -18 - j. Suppose -2*h - 218 = -7*h - 3*d, t*h - 130 = -2*d. What is the units digit of h?
6
Suppose -f - 11*b + 16*b = -6, -2*b - 4 = 0. What is the hundreds digit of 956 + f - 20/4?
9
Suppose -2*x - 6*x = -80. What is the hundreds digit of 220/(-10)*(-155)/x?
3
Let p(z) = 3313*z - 1283. What is the hundreds digit of p(12)?
4
Let l be (-2)/(3 - 5)*(1 - -2). Suppose -l*i + 8 + 1 = 0. Suppose 4*x = 4*n - 376, -x - i*x = -3*n + 285. What is the tens digit of n?
9
Let i(d) = -33*d**2 - 10*d + 3. Let z be i(7). Let h be (-24)/42 - z/7. Let x = -100 + h. What is the hundreds digit of x?
1
Let f(u) = 644*u**2 + 54*u - 132. What is the hundreds digit of f(3)?
8
Suppose 16*o + 207 = -53*o. What is the units digit of 60/(-18)*4*o/1?
0
Let z(k) = -k**2 - 3*k**2 - 13*k - 4*k**2 + 6*k**2 + 9. Let o be z(-7). Suppose 5*r - 135 = 2*c, 0 = -3*c - o - 13. What is the tens digit of r?
2
Suppose -16*y + 461342 = 11*y + 142040. What is the hundreds digit of y?
8
Let g = 598 - 607. What is the thousands digit of 3354*(-4)/8*6/g?
1
Let c = 128300 - 54607. What is the units digit of c?
3
Let z = 12 - -26. Suppose -2*w + 106 = z. What is the units digit of (w - 1)*4/9*3?
4
Let z = 1348 - 1042. Let l be (-3058)/(-6) - (-1)/3. Let h = l - z. What is the tens digit of h?
0
Let x(p) = -6*p**2 - 3*p - 1. Let z be x(-1). What is the tens digit of 0 - (1 + z - (-473)/(-1))?
7
Let r be 4/(-12)*-3 - -4. Suppose 79 - 144 = -r*v. What is the hundreds digit of (1*v)/((3 + 4)/133)?
2
Let y = 2348 - 621. Let f = y + -698. What is the thousands digit of f?
1
Suppose 19*z - 6664 = 117330. What is the thousands digit of z?
6
Let v(w) = 129*w + 21. Suppose -24 = 13*r - 19*r. What is the tens digit of v(r)?
3
Let o be (51/(-102))/((-2)/(-12)). What is the units digit of (-11)/o + -3 - (-1336)/3?
6
Let m = 28425 + -14591. What is the units digit of m?
4
Let p = 12 + -9. Let x be (12/3 + -3)*p. Suppose -3*n - f = f - 175, -5*n + 290 = x*f. What is the units digit of n?
5
Let r = 56918 - 18789. What is the units digit of r?
9
Let c(g) = -g**2 - 2*g - 27. Let t be c(23). Let f = t + 1131. What is the hundreds digit of f?
5
Let w(h) = -h**3 - 5*h**2 + 6*h - 12. Let u be w(-6). Let i(f) = -f**3 - 10*f**2 + 25*f - 5. Let o be i(u). What is the units digit of (-3 + 23)*o/(-4)?
5
Suppose -2*a - 3*a = -4*a. Let y be 0 + a + (2 - (-32)/(-4)). Let d(q) = -q**3 - 4*q**2 - 3*q - 11. What is the units digit of d(y)?
9
What is the ten thousands digit of ((-14)/(-147)*-28)/(4/(-15810))?
1
What is the hundreds digit of -23437*(-25)/(-100)*-4?
4
Suppose 0 = 4*q + 4*w - 156, 0*q + 2*w = 3*q - 107. Let v = -43 + q. What is the tens digit of 3 + (-6)/4 + (-459)/v?
7
What is the tens digit of (-18 + 0)*(-5 + (-50815)/30)?
7
Let h = 56881 + -40000. What is the hundreds digit of h?
8
Suppose 0 = 1165*d - 1155*d - 47310. What is the hundreds digit of d?
7
Suppose -1673*w = -1669*w + o - 148838, 2*o + 4 = 0. What is the ten thousands digit of w?
3
Suppose -w + x = 4, x = -0*w + 4*w + 10. Let d be ((-218)/(-3))/(w/(-9)*-3). Let c = d - -167. What is the units digit of c?
8
Let n = 48714 + -31513. What is the thousands digit of n?
7
Let v = 369 - | {
"pile_set_name": "DM Mathematics"
} |
-sqrt(2) + 5
Simplify ((-2*sqrt(12))/sqrt(4))**2*-3 + 2.
-34
Simplify (2*sqrt(300)*-1*-4)**2.
19200
Simplify (1*sqrt(112)*1)**2.
112
Simplify (sqrt(1584) + 2 + 2 - sqrt(1584))**2 + -2.
14
Simplify (sqrt(550)*1 - sqrt(550))/sqrt(1250).
0
Simplify sqrt(170)/(-2*(sqrt(40) + sqrt(10))) + 1*sqrt(68)/sqrt(4)*-6.
-37*sqrt(17)/6
Simplify (sqrt(1536) - (sqrt(1536) + -4*sqrt(1536)))/sqrt(8).
32*sqrt(3)
Simplify (sqrt(76)*4 + sqrt(76))/sqrt(4) + sqrt(19) + 2.
2 + 6*sqrt(19)
Simplify sqrt(84)/(sqrt(12) - (2*sqrt(72))/sqrt(6)).
-sqrt(7)
Simplify (4 + -3 + sqrt(3) + -2 + sqrt(3) + sqrt(3) + 0 + -1)**2.
-12*sqrt(3) + 31
Simplify (-4*(-2 + -3 + sqrt(1216) + sqrt(1216)))**2.
-2560*sqrt(19) + 78224
Simplify (sqrt(1100) - ((sqrt(1100) - (sqrt(1100) - sqrt(1100)*-4)) + 2))**2.
-200*sqrt(11) + 27504
Simplify 0 + (-2*sqrt(363) + 0 + (sqrt(363) - -5*(1 + sqrt(363))))**2.
440*sqrt(3) + 5833
Simplify -1*6*sqrt(1100)*-2.
120*sqrt(11)
Simplify ((sqrt(2299) + -4*(-1 + sqrt(2299)))**2 + sqrt(2299)*1 + -2)*6.
-1518*sqrt(19) + 124230
Simplify (sqrt(243) + sqrt(243) + 1 - (sqrt(3) - (sqrt(18)/sqrt(6)*-4 - sqrt(3))))**2 + -5.
24*sqrt(3) + 428
Simplify (-2 + -2*sqrt(832)*5)**2 + 4.
320*sqrt(13) + 83208
Simplify -2*(sqrt(1584) + ((0 + sqrt(1584))*-1)**2) + 2.
-3166 - 24*sqrt(11)
Simplify -4*1*(sqrt(19) + 1*sqrt(19)).
-8*sqrt(19)
Simplify sqrt(22)/(sqrt(11)*-4) + 4.
-sqrt(2)/4 + 4
Simplify sqrt(88)/(sqrt(648) + 2*sqrt(648)).
sqrt(11)/27
Simplify -2*(((-1 + sqrt(147))*6 + sqrt(147))*3)**2.
-130302 + 10584*sqrt(3)
Simplify ((sqrt(27) - (sqrt(27) + 1*sqrt(27)))*-2)/((sqrt(9) - 2*sqrt(9))*5).
-2*sqrt(3)/5
Simplify ((6*(sqrt(130)*-2 + sqrt(130) - sqrt(130)))/((sqrt(120)/sqrt(2))/sqrt(6)))**2.
1872
Simplify -2 + (-3*sqrt(39)/(1*sqrt(243)))**2.
-5/9
Simplify (-5*(-2 + sqrt(11)) + (sqrt(110)*1)/sqrt(10))**2.
-80*sqrt(11) + 276
Simplify (1*sqrt(78)*-1 - sqrt(78))/(-1*sqrt(6)*-1).
-2*sqrt(13)
Simplify sqrt(21)/((sqrt(27)*1 + sqrt(27))/sqrt(9)).
sqrt(7)/2
Simplify (-5*sqrt(99)*-1)/(sqrt(72)/(sqrt(8) - (sqrt(8) - sqrt(32)/sqrt(4)))).
5*sqrt(11)
Simplify (-2*-1*sqrt(153))/(-5*sqrt(9)*1).
-2*sqrt(17)/5
Simplify 3*(sqrt(612) + (4 + sqrt(612) + -1)**2).
126*sqrt(17) + 1863
Simplify ((sqrt(25)/sqrt(80))**2 - sqrt(5))*-1.
-5/16 + sqrt(5)
Simplify (-1*-1*sqrt(40))/sqrt(8)*3.
3*sqrt(5)
Simplify -4*4*sqrt(30)/(sqrt(6) - sqrt(384)/sqrt(4)).
16*sqrt(5)/3
Simplify (sqrt(3564) + (sqrt(3564)*1 - sqrt(3564)))/(sqrt(8)/sqrt(2)*-4).
-9*sqrt(11)/4
Simplify -2 + sqrt(48) + sqrt(6)/sqrt(2)*3 + -1.
-3 + 7*sqrt(3)
Simplify (sqrt(880)*-3)/(sqrt(25)/(sqrt(5) - sqrt(125) - sqrt(5)) - sqrt(5)).
10*sqrt(11)
Simplify sqrt(36)/(sqrt(36)/(sqrt(3)*-2)) - (-4 + sqrt(27) + 2).
-5*sqrt(3) + 2
Simplify 6*-1*(sqrt(704) + 0 + (sqrt(44)/sqrt(4))**2 + 2).
-48*sqrt(11) - 78
Simplify (sqrt(27)/sqrt(225) - sqrt(36)/sqrt(3))**2*6.
1458/25
Simplify -5*sqrt(176)*-4*6.
480*sqrt(11)
Simplify (sqrt(637) + -3 + 5)**2 + sqrt(637) + -2.
35*sqrt(13) + 639
Simplify ((sqrt(84) + 1*sqrt(84) + sqrt(84))*3 - sqrt(84))/((sqrt(48) + sqrt(144)/sqrt(3))/sqrt(4)).
4*sqrt(7)
Simplify (-3*(sqrt(153) - sqrt(153)*-1))/(-4*sqrt(9)*-1 + sqrt(9)).
-6*sqrt(17)/5
Simplify 6*(sqrt(288) - sqrt(288)*-1)**2.
6912
Simplify ((sqrt(252) + 0 + -3)*-3 + 0)**2.
-324*sqrt(7) + 2349
Simplify ((sqrt(448) + 0)**2*4 + sqrt(448) - sqrt(448))*-3.
-5376
Simplify ((sqrt(52) + -5*sqrt(208))/(-2*sqrt(16)/sqrt(4) - sqrt(4)) + 1)**2.
6*sqrt(13) + 118
Simplify (-1*(2 + sqrt(847)))**2.
44*sqrt(7) + 851
Simplify ((5*(1*sqrt(114) - sqrt(114)))/(sqrt(24)*1))**2.
0
Simplify 6*(3 + sqrt(5) + sqrt(80)).
18 + 30*sqrt(5)
Simplify (sqrt(80)*5*-5)**2.
50000
Simplify (-2 + 0 + sqrt(500))**2*-2.
-1008 + 80*sqrt(5)
Simplify 4*(sqrt(5) - (sqrt(180) + -1)).
-20*sqrt(5) + 4
Simplify 4*(sqrt(14) + sqrt(14)*-2)/sqrt(7).
-4*sqrt(2)
Simplify ((sqrt(1400)*1)/(3*sqrt(10)/sqrt(5) + sqrt(2)))**2.
175/4
Simplify 6*((sqrt(13) + -1)*-5 - (sqrt(13) + -4*(sqrt(13) + sqrt(52)))).
30 + 36*sqrt(13)
Simplify (((sqrt(33) - (sqrt(33) + sqrt(165)/sqrt(5))) + sqrt(33))/sqrt(3))**2 + sqrt(99)/(sqrt(54)/sqrt(6)).
sqrt(11)
Simplify -3 + sqrt(14)/sqrt(2) + sqrt(7) - (4*(sqrt(112) - sqrt(7)))**2.
-1011 + 2*sqrt(7)
Simplify (1*sqrt(189))/((2*sqrt(36))/sqrt(12)).
3*sqrt(7)/2
Simplify (sqrt(24) - sqrt(96))/sqrt(8) - sqrt(21)/(sqrt(28)/sqrt(4)).
-2*sqrt(3)
Simplify 1*sqrt(117)/sqrt(36).
sqrt(13)/2
Simplify (4 + 2*sqrt(300) + sqrt(300))**2 + (-5 + 1*sqrt(3)*-1)**2.
250*sqrt(3) + 2744
Simplify (-2*sqrt(8)*-3)**2 + sqrt(968) + 1 + sqrt(968).
44*sqrt(2) + 289
Simplify -4 + (sqrt(19) - (sqrt(19) - sqrt(228)/(sqrt(24)/sqrt(2)))) + -2.
-6 + sqrt(19)
Simplify (-1 + sqrt(72))*-1 + -3 + (sqrt(72) + -1 + sqrt(72) + sqrt(72))**2.
-42*sqrt(2) + 647
Simplify ((sqrt(78)*-1)/sqrt(6))**2 - (sqrt(78)/sqrt(6))**2*1.
0
Simplify ((sqrt(48)/sqrt(4))/sqrt(4) - sqrt(9)/(-2*sqrt(3)))*-2.
-3*sqrt(3)
Simplify sqrt(204)/(sqrt(108)/(sqrt(9) + sqrt(63)/sqrt(7) + sqrt(9))).
3*sqrt(17)
Simplify sqrt(133)/(sqrt(28)/sqrt(4)) + (-4 + -2 + sqrt(19))**2.
-11*sqrt(19) + 55
Simplify 1*sqrt(68) + 2 - (0 + (sqrt(17) - (sqrt(1088) + 1 + sqrt(17)))**2).
-1087 - 14*sqrt(17)
Simplify 3 + (sqrt(72)*-5 + sqrt(2))**2 + 0.
1685
Simplify (5 + sqrt(12))*2.
4*sqrt(3) + 10
Simplify 1 + 5*(-1 + (sqrt(13) + -1 + sqrt(13))**2).
-20*sqrt(13) + 261
Simplify ((sqrt(22)*-3 - sqrt(22))*-4)/sqrt(11).
16*sqrt(2)
Simplify (sqrt(2) - (sqrt(8)/sqrt(4))**2*-2) + (sqrt(100) + sqrt(4) - sqrt(4) - sqrt(4))/sqrt(2).
4 + 5*sqrt(2)
Simplify 4*(sqrt(17) + sqrt(833)) + 3 + sqrt(1377).
3 + 41*sqrt(17)
Simplify ((sqrt(605) + -1 - sqrt(605)) + -3*(sqrt(10)/sqrt(2))**2)*-4.
64
Simplify (-4*-2*sqrt(26))/(-3*sqrt(2)*5).
-8*sqrt(13)/15
Simplify sqrt(833)*4 - (sqrt(272)*2 - sqrt(272))**2.
-272 + 28*sqrt(17)
Simplify (sqrt(147) + -1 + sqrt(147) + -1 + 1*(sqrt(147) + (sqrt(147) - (1 + sqrt(147))) - sqrt(147)) + -1)**2.
-112*sqrt(3) + 604
Simplify (sqrt(187)*-2*-4)/(sqrt(1584)*-2 + sqrt(11)).
-8*sqrt(17)/23
Simplify -1 + sqrt(153) + -5.
-6 + 3*sqrt(17)
Simplify (sqrt(66) + (-5*-2*sqrt(66) - sqrt(66)))/(-2*(sqrt(6) - (sqrt(96) - sqrt(6)))).
5*sqrt(11)/2
Simplify -5*(-3 + sqrt(60)/(sqrt(192)*-1)).
5*sqrt(5)/4 + 15
Simplify ((-3*sqrt(110))/sqrt(10))**2 + (sqrt(121) + sqrt(121) + -3*sqrt(121))/sqrt(11).
-sqrt(11) + 99
Simplify 6*(sqrt(162) + 1 - sqrt(162)) + 3.
9
Simplify ((sqrt(324) - 2*sqrt(324))/sqrt(12) + sqrt(27))*1.
0
Simplify (-4*sqrt(243)*1 + -5)**2 + -2.
360*sqrt(3) + 3911
Simplify (sqrt(343)*2)**2 + 4.
1376
Simplify (3*sqrt(242) - sqrt(242)) + sqrt(288) + 1.
1 + 34*sqrt(2)
Simplify (sqrt(72)/(sqrt(6) + sqrt(24)))/(2*sqrt(216)).
sqrt(2)/36
Simplify 1 + sqrt(128) + -4*sqrt(128)*-1.
1 + 40*sqrt(2)
Simplify sqrt(44) + -1*sqrt(44) + 1 + 4 + (-6*sqrt(44)/sqrt(4))**2.
401
Simplify (sqrt(77) + (sqrt(77) + sqrt(77) + 1*sqrt(77) + sqrt(77) + sqrt(77))*1)/(sqrt(1008) - (sqrt(1008)*1 - sqrt(1008))).
sqrt(11)/2
Simplify sqrt(20)/sqrt(490) + 0.
sqrt(2)/7
Simplify (5*sqrt(66)/(sqrt(6) - sqrt(216)*3))**2.
275/289
Simplify (-3 + (sqrt(243) - (sqrt(243) + sqrt(243) + sqrt(243)*1)))**2 + 2*sqrt(3)*-1*6.
96*sqrt(3) + 981
Simplify (1*sqrt(76) + 3)**2 + 4.
12*sqrt(19) + 89
Simplify -3 + (-6*sqrt(126)/sqrt(6))/sqrt(3).
-6*sqrt(7) - 3
Simplify (sqrt(52) + (sqrt(832) - (1*sqrt(832) + sqrt(832))))/(-1*sqrt(256)).
3*sqrt(13)/8
Simplify (sqrt(225)*2)/sqrt(5).
6*sqrt(5)
Simplify 6*((sqrt(147) + -1 + sqrt(147))**2 + -4).
-168*sqrt(3) + 3510
Simplify -4*-5*sqrt(52)/sqrt(4).
20*sqrt(13)
Simplify (1 + sqrt(2736))**2 + sqrt(19) + 3 + 3.
25*sqrt(19) + 2743
Simplify (-1 + sqrt(2736) + sqrt(931)*1)**2.
-38*sqrt(19) + 6860
Simplify -3 + ((sqrt(19) - sqrt(19)*-3*2) + 6*3*sqrt(19))**2.
11872
Simplify (sqrt(1900) + -1 - sqrt(1900)) + -5.
-6
Simplify (sqrt(180) - (sqrt(180) + -3)) + sqrt(180) + (sqrt(180)/sqrt(4))/sqrt(9).
3 + 7*sqrt(5)
Simplify (sqrt(32) - (sqrt(32) - -2*sqrt(512) - sqrt(32)))**2.
1568
Simplify -1*(sqrt(17) - (sqrt(17) + (2 + sqrt(272) - sqrt(272))**2) - sqrt(17)).
4 + sqrt(17)
Simplify sqrt(13) + 1*sqrt(637) - ((sqrt(26) + (sqrt(26) - sqrt(104)))/sqrt(2))**2.
8*sqrt(13)
Simplify (3*sqrt(13)*2*-4*6)**2.
269568
Simplify 3*(-3 + sqrt(363)*3)**2.
-594*sqrt(3) + 9828
Simplify (sqrt(425)*-1)**2 + (sqrt(1700) + sqrt(1700)*4)**2 + sqrt(17).
sqrt(17) + 42925
Simplify (0 + 5*sqrt(10)/sqrt(2))*-6.
-30*sqrt(5)
Simplify (sqrt(121) - -1*s | {
"pile_set_name": "DM Mathematics"
} |
t is the units digit of j?
1
Suppose 0 = -0*j - 5*j. Suppose -z + 0 - 4 = j. What is the tens digit of (z/6)/(3/(-171))?
3
Let s be 4 - (-2 - (-3 - 1)). Suppose 0 = s*h - 81 - 25. What is the tens digit of h + (-2 - 2 - -1)?
5
Let o(i) = -i**2 + 5*i + 16. Let l be o(7). Suppose l*x - 83 = 37. What is the tens digit of x?
6
Let z(d) = 5*d + 37. Let p(g) = -3*g - 18. Let v(r) = 13*p(r) + 6*z(r). Let n be v(-9). Let x = n - 35. What is the units digit of x?
4
Suppose 82236 + 38990 = 49*j. What is the units digit of j?
4
Suppose 0 = 279*p - 290*p - 528. Let k = -5 + -24. Let h = k - p. What is the units digit of h?
9
Let s = -30 - -74. Suppose -s = -20*j + 16*j. What is the units digit of j?
1
What is the units digit of 2472 + (0 + -2)*1 + 0?
0
Let o(z) = 3*z - 2*z + 36*z**3 + 5*z**2 - 35*z**3 + 3. Let j be o(-5). What is the units digit of -1 + (43 + j - 0)?
0
Let z = 715 - 3058. What is the hundreds digit of ((-10)/(-6))/(z/(-585) - 4)?
3
Suppose 5*k + 2 = 52. Suppose i - k = -2. What is the units digit of i?
8
Let c = 145 - 282. Let h = c + 63. Let x = -33 - h. What is the units digit of x?
1
Let k(j) = 2*j**2 - 84*j + 114. What is the units digit of k(48)?
0
Suppose -4*m + 4847 = -5*j, 0 = -99*j + 104*j - 25. What is the thousands digit of m?
1
What is the units digit of (-5336)/(-207) + (-4)/(-18) + 0?
6
What is the units digit of 44 + 2 + (-4 - 4) + 3?
1
Let w = -2 - -21. Suppose 4*c - 227 = -w. What is the units digit of c?
2
Let f(s) = 64*s**2 + 27. What is the tens digit of f(8)?
2
Suppose d = -5*y + 230, 3*y - 110 = -2*d + 7*d. Let c be (-10)/y + (-38)/(-9). Suppose 0 = -2*x + c, 0 = -g + 4*g - 5*x - 26. What is the units digit of g?
2
Let t(n) = -2*n - 2. Let d be t(-3). Suppose s = -d*s - 75. What is the units digit of ((-54)/s)/((-3)/(-10))?
2
Suppose -3*b + 59 = -40. Suppose -4*j + 70 = -5*a, 5*j = -4*a + 2*j - 56. Let x = b + a. What is the tens digit of x?
1
Suppose 63 = 2*b - 5*r, -39 = -2*b + 2*r - 5*r. Suppose b = -3*z + 75. What is the units digit of z?
7
Suppose 30*t + 9450 = 37*t. What is the units digit of t?
0
Let g = 7 - 7. Suppose -3*l - 12 = -4*a - g*a, -16 = 5*a + 4*l. Suppose a = 2*r - 17 - 5. What is the units digit of r?
1
Let z be -4 + (-44)/(-12) + 4/(-6). What is the units digit of (2/2*-29)/(-2 - z)?
9
What is the units digit of 2/6 + (-10 - (-3256)/6)?
3
Suppose 10280 + 5405 = 5*p - 4*f, 0 = -4*f. What is the units digit of p?
7
Let p be (1 + 0)/(5 - 2224/445). Let a = p + -264. What is the tens digit of a?
8
What is the hundreds digit of ((-1)/1)/(24/(-41664))?
7
Let w = -19 + 24. Suppose 0 = d - 3*d + w*b - 44, 2*d = b - 36. Let q = d - -31. What is the tens digit of q?
1
Let p be -9 - -9 - (-6 + 1). Let l be p + 8/(-4) + 15. What is the units digit of (-96)/l*9/(-2)?
4
Let a(l) be the second derivative of -26*l**5/5 + l**4/6 + l**3/3 + l**2/2 - 20*l. What is the units digit of a(-1)?
5
Let y(v) = 3*v + 21. Let x(o) = 4*o + 22. Let h(p) = -2*x(p) + 3*y(p). What is the tens digit of h(12)?
3
What is the tens digit of (776/(-9))/((-176)/792)?
8
Suppose 0 = -3*h + 6. Suppose h*d = 1 - 5. What is the units digit of (1/3)/(d/(-54))?
9
Suppose 0 = -16*b + 12*b + 2*o + 2820, -b = -5*o - 723. What is the units digit of b?
3
Let v(z) = -26*z + 4*z - 27*z + 12*z - 6. What is the units digit of v(-2)?
8
What is the hundreds digit of (-6464)/(-22) + 20/110?
2
Suppose 0 = c - 2, 4*c = -3*q - 0*q - 445. Let g = q - -221. What is the units digit of g?
0
Suppose -9*c + 4*c = 0. Suppose c*d - 2*d + 104 = 2*m, m + 5*d = 60. What is the tens digit of m?
5
Let j(u) = -22*u + 180. What is the tens digit of j(-7)?
3
Let c = 12 - 8. Suppose 4*o - 4*h = 0, -2*o + 3 = -c*h + 11. Suppose -v + 0*j - 12 = o*j, 0 = -3*v - 5*j - 8. What is the units digit of v?
4
Let f be (-228)/(-28) - 2/14. Let x = 10 - f. Suppose 11*h - x = 10*h. What is the units digit of h?
2
Let u = 9 - -13. Suppose -r + 6 = -4*f + u, 4*f - 2*r - 12 = 0. Suppose 0 = -0*k - f*k - 3*m + 233, -2*k = 3*m - 95. What is the units digit of k?
6
Let p = -57 - -62. Suppose 9*t - 768 = p*t. What is the units digit of t?
2
Let w(x) = 3*x**3 + x**2 - 2*x + 1. Let l be w(1). Suppose o + 3*o = 3*f + 411, -306 = -l*o + 3*f. What is the hundreds digit of o?
1
Suppose 0 = -2*w + 2*m - 2, 2*w - 4*m + 8 = 0. Suppose -f + 1 = -w. Suppose 2*l - f = -y + 22, 5 = 5*l. What is the tens digit of y?
2
Let v(c) be the first derivative of -7*c**2/2 - 6*c + 2. What is the tens digit of v(-6)?
3
Let a = -3 - 9. Let t be ((-8)/5)/(a/30). Suppose -t*y = -7*y + 51. What is the units digit of y?
7
Let w(a) be the third derivative of 7*a**4/8 - 5*a**3/6 + 5*a**2. Let q(g) = -21*g + 5. Let r(h) = -3*q(h) - 2*w(h). What is the tens digit of r(2)?
3
Let z(b) = -2*b + 14. Let o be 0*(2 + 5/(-2)). What is the tens digit of z(o)?
1
Let a = -3221 - -5043. What is the thousands digit of a?
1
Suppose -156 = -g - 0*g. Suppose q - 5*b = 22, -5*b + 2*b - g = -4*q. What is the tens digit of q?
4
Suppose 2*h - 2312 - 896 = 0. What is the hundreds digit of h?
6
Let m(l) = l + 17. Let r be 6/(-8) - (-62)/8. What is the units digit of m(r)?
4
Let x(w) = 2*w - 24. Let d be (-312)/16*4/(-6). Let c be x(d). Suppose -u = -5*l - 48, -c*l - 196 = -3*u - 0*u. What is the units digit of u?
8
Let a = -2 - 4. Let w(p) = -p - 1. Let u be w(a). Suppose 15 = q - u*i - 14, -2*i = 2. What is the units digit of q?
4
Suppose 0 = -10*x + 50 - 0. Suppose -5*a + 1035 = x*b, -a - 6*b = -b - 211. What is the tens digit of a?
0
Let z = -135 + 191. Suppose -3*q - 2*p = -327, 4*q - 7*p = -12*p + 443. Let d = q - z. What is the units digit of d?
1
Let u be (-92)/20 + 4 - 93/(-5). Suppose -15*z + u*z = 603. What is the tens digit of z?
0
Let s be 6/24 + 1/(-4). Suppose 4*i - 3*i - 3 = s. Suppose i*b = 2 + 88. What is the units digit of b?
0
Let l(j) = -3*j + 2 - 5 - 5*j + 4*j. Let b be l(-2). Suppose -25 = b*r - 6*r. What is the tens digit of r?
2
Let g = -4465 - -6884. What is the thousands digit of g?
2
Let g(u) = -12*u - 13. Let s(m) = 6*m - 61. Let a be s(8). What is the tens digit of g(a)?
4
Let r = 72 - -4089. What is the hundreds digit of r?
1
Let u = 2618 + -1422. What is the hundreds digit of u?
1
Let q be (2/4)/((-5)/(-380)). Let g(a) = 3*a - 8. Let o be g(-6). Let h = q + o. What is the units digit of h?
2
Suppose 3*h + 0*h = 0. Suppose -2*y + 3*y - 8 = h. Let z = y + -7. What is the units digit of z?
1
Let f = -166 + 428. What is the tens digit of f?
6
Let x = -31 + 21. Let m be (-34)/x - 9/(-15). What is the tens digit of m/(-4 + 2) - -45?
4
Suppose -12 = -21*j + 23*j. What is the tens digit of 70/4 - (-9)/j?
1
Let w(g) = 3*g**2 + 17*g + 4. What is the thousands digit of w(16)?
1
Suppose -4*i + 34 = -54. Let l be 6*(-2 - i/(-6)). What is the units digit of -21*(l/6 + -2)?
7
Suppose x = 5*a + 733, -3*x + 453 = 4*a - 1651. What is the units digit of x?
8
Let z(p) = -p**2 - 3*p - 6. Let t(i) = 2*i + 5. Let d be t(-5). Let n be z(d). Let g = n - -33. What is the units digit of g?
7
Let s = 1985 + -890. What is the tens digit of s?
9
Let l = 125 + -86. Let t = l + -28. Suppose 0 = -10*p + t*p - 28. What is the tens digit of p?
2
Let m(y) = y**2 + 15*y + 37. What is the tens digit of m(-18)?
9
Suppose 4*k + 4*v = 13364 - 5508, -v = 5*k - 9832. What is the tens digit of k?
6
Suppose -o - 8 = -0*p - 2*p, -4*p = 4*o + 8. Suppose 18 = 3*f - 3*n, 7 = 5*f + p*n - 2. What is the tens digit of ((-6)/4)/(f/(-92))?
4
Suppose -4*k - 5 = -3*m, -m = -4*m - 3*k - 30. What is the tens digit of (-204)/m - 12/15?
4
Suppose 5*t = p - 2*p - 152, -109 = 4*t + 5*p. What is the tens digit of 6/4*(3 - t)?
5
Let g = 240 - 132. Suppose -4*t - z + 427 = 0, 0 = -t - 0*t + z + g. What is the tens digit of t?
0
Let v be (-342)/27*3/(-2). Suppose 2*h - 32 = -2*j, -5*h - j + 76 = 2*j. Let q = v - h. What is the units digit of q?
5
Let w(r) = -399*r**3 + r**2 + 6*r + 4. What is the hundreds digit of w(-2)?
1
Suppose -5*p - 2*l = -105, 64 = 3*p + 5*l + 20. Suppose -m + 3*b + p = 0, -2*b - 154 = m - 6*m. What is the units digit of m?
2
Let f = 635 + -233. What is the hundreds digit of f?
4
Suppose -5*f = 4*a - 833, f + a = -44 + 211. Suppose f = 5*y - 120. What is the units digit of y?
7
Let h(p) = -9*p + 17*p - 7*p + 51. Let v be h(0). Let r = -18 + v. What is the | {
"pile_set_name": "DM Mathematics"
} |
= 6*t(h) + u(h). Find the second derivative of q(v) wrt v.
-24*v**2 - 814
Let t(w) be the first derivative of -77*w**3/3 + 129*w + 7. Differentiate t(c) wrt c.
-154*c
Let v = 43 - 39. What is the second derivative of -9*k - 15*k**2 + 0*k**2 - v*k - 3*k wrt k?
-30
Let m(l) be the first derivative of l**10/360 - 2*l**6/45 + 2*l**3/3 - 11. Let g(r) be the third derivative of m(r). What is the third derivative of g(i) wrt i?
1680*i**3
Let l(p) be the first derivative of -5*p**6/6 - 9*p**4/4 - p**3 - 64. What is the third derivative of l(c) wrt c?
-300*c**2 - 54
Let u(z) = 130*z**4 - 5*z**2 + 588*z. Let b(w) = 2*w**4 - w**2 + w. Let k(a) = -5*b(a) + u(a). Find the second derivative of k(d) wrt d.
1440*d**2
Let g(u) = -u**2 - 7*u - 7. Let t be 5*3/(3 - 6). Let i be g(t). What is the third derivative of -2*n**2 - 6*n**3 + 5*n**3 - 6*n**3 - n**i wrt n?
-48
Suppose 10 = -21*b + 22*b. Find the second derivative of 0*m - 7*m + 0*m**5 - 3*m**5 - b*m**5 wrt m.
-260*m**3
Let u = -116 - -124. Find the first derivative of 29 + 51*p - 12 + 37 - u wrt p.
51
Let l(y) = y - 1. Let n(m) = -2*m**4 - 81*m**2 + m + 16. Let h(o) = -2*l(o) + n(o). What is the second derivative of h(z) wrt z?
-24*z**2 - 162
Suppose 2*p + 20 = -2*p, -3*i = 4*p - 13. Let v(o) = -7*o + 33. Let m(w) = 15*w - 65. Let s(b) = i*v(b) + 6*m(b). Differentiate s(n) wrt n.
13
Let r(q) be the third derivative of q**8/56 + q**7/30 - q**4/24 + 31*q**3/3 + 15*q**2 + 2*q. Find the second derivative of r(x) wrt x.
120*x**3 + 84*x**2
Let k = 138 - 116. What is the second derivative of 25*i**3 - 11*i**2 - 12*i**2 + 23*i**2 + k*i wrt i?
150*i
Let s be (2/(-24)*-6)/(1/6). Let q be 0/3 + 0 + 22. Differentiate -q + 4 + 12 - 9*o**s wrt o.
-27*o**2
Let c(n) be the first derivative of 29*n**2 + 152*n - 242. Differentiate c(b) with respect to b.
58
Let r(v) be the second derivative of -2*v**9/189 + v**5/60 + 3*v**3 + 14*v. Let q(c) be the second derivative of r(c). Find the second derivative of q(j) wrt j.
-640*j**3
Suppose 6*v + 536 = 536. Let z(l) be the first derivative of -2/5*l**5 + 0*l**2 + 1 + v*l**3 + 0*l**4 + 3*l. What is the first derivative of z(i) wrt i?
-8*i**3
Let g(v) = -v**3 + 17*v**2 - 29*v + 3. Let h be g(15). What is the first derivative of -2 + h + 23*f**3 - 43*f**3 wrt f?
-60*f**2
Let h(l) be the second derivative of -31*l**7/210 + 11*l**3/2 - 5*l**2 + 20*l. Let c(o) be the first derivative of h(o). Differentiate c(x) wrt x.
-124*x**3
Let y(i) = -3*i**2 - 3. Let b(s) = -4*s**2 - 5. Let m = 29 + -37. Let q(p) = m*y(p) + 5*b(p). Differentiate q(g) wrt g.
8*g
Find the second derivative of -44*r**2 - 7*r + 6 - 9 + 2*r wrt r.
-88
Differentiate -3*y**2 + 257 - 62*y - 94 - 30*y + y**2 wrt y.
-4*y - 92
Let n be 2/(-3 + (-205)/(-65)). What is the first derivative of n - 3 + 21*x**3 - 11 - 11*x**3 wrt x?
30*x**2
Let w(f) be the third derivative of -133*f**4/8 - 131*f**3/3 - f**2 - 161*f. Differentiate w(l) wrt l.
-399
Let m be (((-35)/(-7))/30)/(2/4). Let b(c) be the third derivative of m*c**4 + 0 + 0*c - 4*c**2 - 3/2*c**3. Differentiate b(h) wrt h.
8
Let j(q) = 6*q**3 + 12*q**2 + 381. Let o(r) = -11*r**3 - 25*r**2 - 761. Let c(x) = -5*j(x) - 3*o(x). What is the derivative of c(p) wrt p?
9*p**2 + 30*p
Let m = 1115/2242 - -3/1121. Let c(i) be the second derivative of 7*i - m*i**2 + 0 - 7/3*i**3. What is the first derivative of c(t) wrt t?
-14
Let j(r) = r**3 + 5*r**2 + 4*r + 3. Let x be j(-4). What is the third derivative of x*p**4 + 279*p**3 + 8*p**2 - 279*p**3 wrt p?
72*p
Let c(q) be the third derivative of -19/30*q**5 + 0*q + 0 - 23/3*q**3 + 44*q**2 + 0*q**4. What is the derivative of c(r) wrt r?
-76*r
Let m(x) be the first derivative of -9*x**4/2 + 2*x**2 - 58*x + 492. Find the first derivative of m(r) wrt r.
-54*r**2 + 4
Let y(c) = -261*c**2 + 65*c - 3. Let f(s) = -522*s**2 + 129*s - 7. Let v(d) = -3*f(d) + 7*y(d). Find the second derivative of v(t) wrt t.
-522
Let m(g) = 65*g**2 - 22*g + 421. Let f(c) = 21*c**2 - 8*c + 141. Let t(b) = -11*f(b) + 4*m(b). Differentiate t(p) wrt p.
58*p
Suppose -37 = -3*d - 4*q, -4*d = 4*q - 34 - 10. What is the third derivative of -d*o**2 - 6*o + 2*o + 13*o**3 + 4*o wrt o?
78
Let x = 10 + -9. Suppose -x = -4*y + 23. What is the third derivative of 4*i**y - 7*i**6 + 4*i**2 - 5*i**2 - 5*i**2 wrt i?
-360*i**3
Let s(n) be the second derivative of 24 - 1/15*n**6 + 0*n**2 + 0*n**5 - 20/3*n**3 + 2*n + 2/3*n**4. Find the second derivative of s(f) wrt f.
-24*f**2 + 16
Let y(v) be the third derivative of -37*v**6/120 + 27*v**3 - 156*v**2. Differentiate y(w) wrt w.
-111*w**2
What is the third derivative of -13*u**3 + 1 + 0*u**3 + 2*u**4 + 42*u**2 + 0 - 53*u**3 + 156*u**2 wrt u?
48*u - 396
Let z(k) be the first derivative of -791*k**3/3 - k**2/2 + 161*k + 695. What is the second derivative of z(m) wrt m?
-1582
Suppose 0 = 3*p - 6 - 3. Suppose 0 = 4*l - 5*m + p, 2*l + m = -3*l + 18. Find the third derivative of l*z**2 - 26*z + 26*z - 3*z**4 wrt z.
-72*z
Let x(v) be the second derivative of 5*v**6/6 + v**5/10 + 107*v**4/6 + 711*v. What is the third derivative of x(b) wrt b?
600*b + 12
Let l(c) be the second derivative of -c**10/30240 - c**7/280 - c**4/2 - 2*c. Let r(b) be the third derivative of l(b). Find the third derivative of r(f) wrt f.
-60*f**2
Find the second derivative of 10079*o**2 + o**3 - 9*o + 93*o - 10110*o**2 wrt o.
6*o - 62
Find the second derivative of -700*l + 0*l**2 + 340*l - 141*l**2 - 2*l**4 wrt l.
-24*l**2 - 282
Let w(v) = -v**3 + v**2 - 2*v. Let k(b) = 11*b**3 + 17*b**2 - 12*b. Let p(n) = -5*k(n) + 30*w(n). What is the third derivative of p(i) wrt i?
-510
Let p(j) = j + 7. Suppose -4*o = -5*l + 1, 0 = o - l - l - 2. Let r be p(o). Find the third derivative of r - 3 - i**2 + 5*i**3 wrt i.
30
Let t(j) be the third derivative of -j**5/30 + 11*j**4/8 - 37*j**3/2 + 203*j**2. What is the first derivative of t(u) wrt u?
-4*u + 33
Let p(g) = 70*g**2 - 163. Let s(i) = -23*i**2 + 54. Let v(w) = -6*p(w) - 17*s(w). Find the first derivative of v(h) wrt h.
-58*h
Let u(j) be the second derivative of 4*j**5/5 + j**4/6 + 20*j**3/3 + j - 50. What is the second derivative of u(p) wrt p?
96*p + 4
Let l(f) be the third derivative of 5*f**4/2 - 11*f**3/6 - 186*f**2. Differentiate l(v) wrt v.
60
Let q(j) = -j**3 + 17*j**2 + 19*j - 12. Let t be q(18). Find the first derivative of -6*b - 24 + 0*b**2 + t*b - 5*b**2 wrt b.
-10*b
What is the third derivative of -7*a**4 - 21*a**6 + 232*a**2 - 73*a**3 - 78*a**3 + 223*a**2 + 151*a**3 wrt a?
-2520*a**3 - 168*a
Let m(x) be the first derivative of 0*x**2 + 58*x**3 - 4*x**2 - 4 - 59*x**3. What is the second derivative of m(s) wrt s?
-6
Let o be (-7)/((-21)/18) + -3. Let n = o - -1. What is the second derivative of 0*j - 3*j - j + 4*j**n wrt j?
48*j**2
Suppose -7*n + 16 = 2. Find the third derivative of -25*t**4 + 52*t**4 + 20*t**2 + 10*t**n wrt t.
648*t
Let y(i) be the third derivative of 21*i**4/4 - 13*i**3/2 - 166*i**2. Differentiate y(u) wrt u.
126
Let b(m) be the third derivative of -31*m**4/8 - 70*m**3/3 - 2*m**2 - 14*m. What is the first derivative of b(s) wrt s?
-93
Let h be 5 + -2 - -1*12. Let a = 15 - h. Find the second derivative of n**3 + 3*n**3 - 3*n + a*n + n wrt n.
24*n
Let f(c) be the first derivative of -19*c**6/3 - c**3/3 - 127*c - 86. Find the third derivative of f(s) wrt s.
-2280*s**2
What is the third derivative of 4*m**2 - 33*m**2 - 2*m**4 + 4631*m**5 - 4634*m**5 - 53*m**2 wrt m?
-180*m**2 - 48*m
Let o(i) be the first derivative of 4 + 0*i**2 + 5/4*i**4 - 41*i + 0*i**3. What is the first derivative of o(w) wrt w?
15*w**2
Let n(w) = w**2 - 13. Let h be n(-6). What is the third derivative of 29*o**2 + 7445*o - h*o**4 - 7445*o wrt o?
-552*o
Let d = -19 + 16. Let z be (-27)/(-12)*8/d. Let x(s) = s + 1. Let p(v) = 3*v**2 + 6*v + 13. Let k(q) = z*x(q) + p(q). Find the first derivative of k(h) wrt h.
6*h
Let t(p) be the third derivative of p**8/280 + p**6/45 - 7*p**3/2 + 11*p**2. Let r(o) be the first derivative of t(o). Find the third derivative of r(q) wrt q.
144*q
Let d(r) = -2*r - 2. Let k(b) = -104*b - 37. Let z(u) = d(u) - k(u). What is the derivative of z(t) wrt t?
102
What is the third derivative of 11*p**5 + 9*p**2 - 4*p**3 + 0*p**5 - 5*p + 3*p - 2*p**5 wrt p?
540*p**2 - 24
Let q(o) be the second derivative of -1/4 | {
"pile_set_name": "DM Mathematics"
} |
ue
Let y = 74/15 + -1229/240. Let k = -1/16 + y. Which is smaller: 0 or k?
k
Let v = -0.4 - -0.3. Let o be 2/11 + (-53)/110. Let h = o - 1/10. Is v less than or equal to h?
False
Suppose -2*y = -0*y + 6. Let l be (-12)/16*(-8)/(-2). Is y < l?
False
Suppose 4 - 6 = -c. Suppose c*s = -3*s + 10. Suppose 1 + s = 3*o. Is 1 greater than or equal to o?
True
Let c(t) = 2*t**3 + 2*t**2 + 2*t + 1. Let b be c(-1). Does 0.4 = b?
False
Let o be 256/(-180) - (-4)/(-30). Which is bigger: o or -3?
o
Let y(j) = -j**3 - 12*j**2 + 33*j + 21. Let p be y(-14). Is -47 > p?
True
Suppose -11*o = -8*o + 30. Which is bigger: 2 or o?
2
Let n = 11 - 8. Let l = 4 - n. Is l <= -1/4?
False
Let m be 0*(-3)/9 + -1. Let l be ((-3)/9)/1*m. Let q = -3 + 2. Are q and l nonequal?
True
Let h(m) = m**2 - m + 2. Let b be h(0). Suppose 0 = -c + 24 - 8. Suppose c = -2*n - b*n. Is -3 greater than n?
True
Let m(k) = -k**3 - 3*k**2 + 6*k + 5. Let g be m(-4). Let a = 3 + g. Suppose 0 + 4 = 4*x. Which is smaller: x or a?
a
Let b = -113 + 901/8. Which is smaller: 0 or b?
b
Let r be 0 + (-3)/(-1) - 3. Suppose -g + 15 = -3*f, -5*g + g + 5*f + 39 = r. Is g greater than 6?
False
Let i(a) = a. Suppose 0 = -4*d - 0*d. Let l be i(d). Which is smaller: l or 1/11?
l
Let i be (-32)/(-120) + (-4)/(-10). Suppose -65 - 15 = 4*r. Let j = r - -98/5. Are i and j nonequal?
True
Suppose 3*z + 2*o + 2 + 4 = 0, 5*o = -5*z - 15. Let n = -2/209 - 617/1045. Which is smaller: z or n?
n
Let m = 22/59 + -247/1770. Is m >= -1?
True
Suppose 4*x + x - 10 = 0. Suppose 4*h + 2*t + 200 = 0, 0*h + x*h = -2*t - 96. Let d = h + 674/13. Is d < 0?
True
Suppose -12*l - 45 = -7*l. Let b(f) = -f - 3. Let u be b(7). Is l equal to u?
False
Let h(p) = -p**2 + p + 3. Let i be h(0). Let j be (5 - i)/(39/(-3)). Let w be ((-2)/(-4))/(1/(-2)). Is j at least w?
True
Let o be ((-40)/(-60))/(2 + 537/(-270)). Which is bigger: 58 or o?
o
Let l(m) = 4*m - 13. Let k be l(3). Is -3/8 smaller than k?
False
Let q(f) = f**2 - 1. Let c(o) = -7*o**2 + o + 2. Let h(d) = c(d) + 6*q(d). Let l be h(-3). Is -15 bigger than l?
True
Let w = 316/427 + 42/61. Is w bigger than -0.1?
True
Suppose 5*m + 1 = -4. Let g be (-7)/4*(-20)/70. Let w = 5/18 - g. Which is smaller: w or m?
m
Let a = -4162/333 - -112/9. Which is greater: 1 or a?
1
Let k be -3 + (0 - 9/(-3)). Does k = 2/5?
False
Let g = -2.48 - 0.52. Is g at least -4?
True
Let x = 1389 + -482. Let d = x - 17215/19. Let r = d - 109/95. Do r and -0.2 have the same value?
True
Let f be (0 - 2*-1) + 3. Let v(o) = o**3 - 5*o**2 + 2*o - 6. Let y be v(f). Suppose y*c - 4*u = 4, -c + 2*u + 1 = 5*u. Does c = 0?
False
Let g(i) be the third derivative of -i**4/24 - i**2. Let u be g(0). Which is bigger: u or 2?
2
Let j be (3 - (1 - -3))/(-2 + 1). Let t = 125 - 1374/11. Is t > j?
False
Let i be 4/2 - (-3 - 74/(-8)). Are i and -4 unequal?
True
Let b = 0.07 - 0.01. Suppose -180 - 236 = -4*o + 4*v, -499 = -5*o - 2*v. Let p = -709/7 + o. Is b > p?
True
Let h = -22 - -22. Let x be 1/(-6)*2/3. Do x and h have the same value?
False
Let z = -3.974 + 48.304. Let i = z + -46.3. Let b = i + -0.03. Is b not equal to 2/7?
True
Suppose -2*l - 2*l = 0. Suppose 0 = 2*f + 3*v + 14 - 5, l = 5*f + 3*v + 18. Let q be (-1)/1 - 0/f. Which is bigger: q or 0?
0
Suppose -2*x - 1 = h, 2*h - x + 3*x - 2 = 0. Let j(z) = -13*z**2 + 8 - 5*z + 1 + 0*z**3 - 6*z - z**h. Let f be j(-12). Is f >= -3?
True
Let u(g) = -g + 4. Let q = 3 - 3. Suppose 2*w = -4*b + 6, 2*b = 3*w - q*b - 25. Let o be u(w). Does -2 = o?
False
Let t be (-13)/11 - (2 + -3). Let f = 5/33 - t. Is f not equal to 0?
True
Let g be -2 - ((-621)/123 + 3). Are 0 and g non-equal?
True
Suppose 0 = 4*c + 12, -2*a + c - 1 = -2. Which is smaller: a or -6/13?
a
Let b = 586 + -1777/3. Do -5 and b have different values?
True
Let s be 2/14 - 45/70. Is s bigger than -2?
True
Let z be -1 - (2 - (0 - -5)). Let s be -2 - (-6 - -1*z). Suppose o = -4*q, 1 = s*q - o + 7. Is q greater than -1?
False
Let n = 45 + -133/3. Is n < 40?
True
Suppose 0 = -11*z - 10 - 1. Suppose 0 = 2*w - 0 - 6. Which is greater: w or z?
w
Let p = 0.5 + -0.3. Let o(f) = -2*f**2 - 7*f + 2. Let t be o(-4). Which is smaller: p or t?
t
Suppose -h = h - 2. Is h smaller than -2/11?
False
Let g(q) = q + 3. Let i be g(0). Suppose -b + 3*l + 39 = 0, 3*b - 63 = l + 30. Let r be (-1 - (-26)/b)*i. Which is smaller: r or 0.1?
r
Let v be (-7)/(-1) - (13 + -16). Do 7 and v have the same value?
False
Let p be ((-27)/36)/(9/(-8)). Which is smaller: p or 10/9?
p
Let f = -0.009 + -5.991. Let s = 110.9 - 117. Let d = f - s. Do 2 and d have the same value?
False
Let j = -63 + 67.1. Let i = j + -4. Let k = 0 + -0.2. Which is bigger: i or k?
i
Let n(h) = h - 8. Let p be n(8). Let b = 0.3 - -0.7. Let z = 0.7 - b. Which is smaller: z or p?
z
Let t = 27 - 26. Let f be (10/(-40))/(t/(-4)). Which is bigger: f or 6/17?
f
Let j = -1195/21 + 57. Which is bigger: j or -1?
j
Let k = 2 + 37. Suppose 4*m + 1 + k = 0. Are m and -10 unequal?
False
Let c = -12 - -21. Let d = -9 + c. Is d less than or equal to -2/13?
False
Let m(d) = d + 6. Let u be m(-7). Which is bigger: u or 1/23?
1/23
Suppose 0 = w + 2*w. Suppose w*m = 5*m + 5. Let q be (-22)/24 - (-2)/8. Is q less than m?
False
Suppose -5*c - 3*x + 10 = 0, 3*c - x = 5*c - 4. Let i be c/5 + 88/(-20). Which is smaller: i or 1/3?
i
Let k = -7.8 + 7.9. Let o = -6496 + 298797/46. Let l = 2/23 - o. Which is bigger: l or k?
l
Suppose -3*z = 2*z. Is z <= -1?
False
Let g be ((-1)/3)/((-14)/(-24)). Suppose s - 2*s = 1. Let n be (-6 - -5)*(0 - s). Which is smaller: g or n?
n
Suppose -11*a + 34 = 6*a. Which is greater: 7/9 or a?
a
Suppose -h - 10 = 4*l, 0 = -3*l - 2*h + 5*h. Suppose -3 - 3 = 3*s. Let u = s + 1. Which is bigger: l or u?
u
Let m(u) = -3*u - 1. Let y be m(-5). Let c be (-1 - -1)/(y/(-7)). Is 0 less than or equal to c?
True
Let f be 5 - ((-12)/2 - -4). Is f not equal to 2?
True
Suppose -2*f - f = 0. Let a = f + 1. Suppose -a = 4*z + 3. Which is smaller: 0 or z?
z
Let s = -8 - -208. Let u be s/(-16)*(-1 - 1). Suppose 2*w = -4*r - 4, 10 = 5*r + u. Which is smaller: w or 3?
3
Suppose -5*l + 4*x + 26 = 0, 2*l - x = 5*l - 2. Let t be (-18)/(-35) - 2/(-7). Which is bigger: t or l?
l
Let r = -2328/7 + 332. Let h(f) = -f + 3. Let d be h(5). Which is smaller: d or r?
d
Let a be (5 + 10)*2/6. Which is smaller: 0 or a?
0
Suppose 3*q = -15 - 0. Which is smaller: q or -11/2?
-11/2
Let y = -0.661 + 0.061. Is 1 >= y?
True
Let t be (3/15)/(4/(-30)). Is t less than -2?
False
Let x = -2573/66 + -17/33. Which is bigger: x or -41?
x
Let g = -0.3 - -2.3. Which is greater: g or -0.5?
g
Let w(g) = 2*g**2 + 1. Let r be w(-1). Suppose 5*l - 13 = -r. Let p be ((-2)/6)/(5/10). Is l less than or equal to p?
False
Suppose 4*i - i = 0. Suppose i = -2*g - 2*g + 124. Let u = 157/5 - g. Are u and -0.1 equal?
False
Let c = -1.036 + 0.036. Which is smaller: c or 0.3?
c
Let i = 0 - 1. Suppose 3*a = -0*a - 3. Let j be (a - 1)/((-7)/i). Is j less than or equal to -2/7?
True
Let j = 166/3 + -56. Are 0.07 and j nonequal?
True
Let l = -243/2 + 122. Which is bigger: 9 or l?
9
Let x(k) = k**2 - 7*k + 11. Let j be x(3). Which is smaller: j or 6/23?
j
Suppose 4*b - 112 + 16 = 0. Suppose -2*s + b = 2*s. Let g = 9 - 4. Which is greater: g or s?
s
Let i(j) = j + 18. Let x be i(-14). Let v = 5 + -3. Let l be (3/v)/(2/x). Which is greater: l or -0.1?
l
Let t be (-2)/(-1) - (4 - 4). Let y = 4 - 2. Is y at most t?
True
Suppose -3*k - 20 = 5*l, -3*k - 23 + 5 = 3*l. Let w be 0 - ((3 - -141) + 2). Let n = 1604/11 + w. Which is bigger: l or n?
n
Let g(l) = -l**3 + 5*l**2 + 5. Let u be g(5). Let i be u/(-2)*8/(-5). Let v(d) = d**2 - 6*d + 6. Let y be v(i). Do -2 and y have different values?
False
Suppose t + 14 = 4. Which is smaller: -29/3 or t?
t
Let m(x) = -3*x**2 + 0*x**3 + 3 + 1 + x**3 - 4*x. Let a be m(4). Suppose 0 = -a*l - 6 - 2. Is -3/5 less than or equal to l?
False
Suppose -u + 1 = -2, 2*h - 5*u = -15. Let p be h + (0 + 3 - 1). Suppose -p*j = -j - 2. Do j and 2 have different values?
False
Let n = -197/8 + 489/8. Let d = -513/14 + n. Let a = d - -33/133. Does -1 = a?
False
Let a be (4/(-8))/((-13)/(-4)). Does a = 1?
False
Suppose -4*u + 5*v - 27 = 2*v, -2*v = -3*u - 20. Which is smaller: -7 or u?
-7
Let u(g) = g**3 + 2 - 6 + 4*g**2 + 0 + 0 - 6*g. Let y be | {
"pile_set_name": "DM Mathematics"
} |
3, -4005, -5983, -7953, -9921, -11893, -13875, -15873?
-17893
What is the next term in 122421, 489685, 1101791, 1958739?
3060529
What is next in 1661, 3322, 4983, 6644, 8305?
9966
What is next in 119, 513, 1545, 3533, 6795, 11649, 18413?
27405
What comes next: 9209, 18407, 27605?
36803
What is the next term in -536, -1139, -1742?
-2345
What is the next term in -316947, -316950, -316953?
-316956
What is the next term in 351, 346, 387, 498, 703, 1026, 1491?
2122
What comes next: 1220, 1069, 918, 767, 616?
465
What comes next: 1832, 7421, 16736, 29777, 46544, 67037?
91256
What is the next term in 2620, 2615, 2612, 2611?
2612
What is next in -202, -427, -678, -955, -1258, -1587, -1942?
-2323
What comes next: 25, 150, 351, 628, 981, 1410?
1915
What is next in 97, 173, 247, 319, 389, 457, 523?
587
What is the next term in -3249075, -3249076, -3249077, -3249078, -3249079, -3249080?
-3249081
What is the next term in -864, -860, -844, -810, -752?
-664
What comes next: -41, -269, -633, -1121, -1721, -2421?
-3209
What is the next term in 37590, 75173, 112754, 150333?
187910
What is next in -2982, -6111, -9240, -12369, -15498?
-18627
What is the next term in -65078, -130148, -195214, -260276, -325334?
-390388
What is the next term in -3259, -3012, -2765, -2518?
-2271
What comes next: -115, -467, -1055, -1879, -2939, -4235, -5767?
-7535
What is the next term in -365852, -365853, -365854, -365855, -365856, -365857?
-365858
What comes next: -5066, -10109, -15152?
-20195
What is the next term in -5410, -5353, -5198, -4897, -4402, -3665, -2638, -1273?
478
What is the next term in -614, -2562, -5808, -10352, -16194, -23334?
-31772
What is the next term in -224, -483, -776, -1103, -1464, -1859, -2288?
-2751
What is the next term in 2057, 2066, 2073, 2078?
2081
What is the next term in -169, -186, -225, -292, -393?
-534
What is next in -26484, -52967, -79450, -105933, -132416, -158899?
-185382
What comes next: -380, -718, -1020, -1286, -1516?
-1710
What is the next term in -329, -1315, -2965, -5285, -8281, -11959?
-16325
What comes next: -127140, -508580, -1144316, -2034348, -3178676, -4577300, -6230220?
-8137436
What comes next: 3055, 3602, 4147, 4690, 5231?
5770
What is the next term in -788953, -1577906, -2366859, -3155812, -3944765, -4733718?
-5522671
What comes next: -9, -37, -47, -27, 35, 151, 333?
593
What comes next: 315764, 315763, 315762, 315761, 315760?
315759
What comes next: 437, 3082, 10121, 23750, 46165, 79562, 126137?
188086
What comes next: 37706, 37709, 37712, 37715, 37718?
37721
What is the next term in -292669, -292668, -292667, -292666?
-292665
What is next in 15, 108, 201, 294, 387, 480?
573
What is next in -820, -3322, -7522, -13444, -21112?
-30550
What is next in 207, -630, -1473, -2328, -3201, -4098, -5025, -5988?
-6993
What comes next: 76414, 152836, 229258?
305680
What is the next term in -1894, -3768, -5638, -7504?
-9366
What is next in 44259, 88515, 132771, 177027, 221283, 265539?
309795
What is the next term in 1822, 3650, 5492, 7354, 9242?
11162
What is next in 149036, 149038, 149040, 149042, 149044?
149046
What is the next term in 188578, 377153, 565730, 754309?
942890
What is the next term in 5910, 6373, 6836, 7299?
7762
What comes next: 7834, 7831, 7828, 7825, 7822?
7819
What comes next: -19131, -38251, -57365, -76473, -95575, -114671, -133761?
-152845
What comes next: -61706, -123412, -185118?
-246824
What comes next: -792, -1406, -1840, -2094, -2168, -2062?
-1776
What is next in -5184, -20725, -46626, -82887, -129508, -186489?
-253830
What is next in 64, 300, 706, 1276, 2004, 2884, 3910?
5076
What is next in -140, -767, -1794, -3221, -5048, -7275, -9902?
-12929
What comes next: -3455, -3589, -3723, -3857, -3991, -4125?
-4259
What comes next: 444, 198, -46, -288?
-528
What comes next: 12582, 50306, 113178, 201198?
314366
What is the next term in -11344, -11470, -11596, -11722?
-11848
What is next in 8482, 8441, 8410, 8395, 8402?
8437
What comes next: 449, 548, 647, 746?
845
What is next in -18217, -18261, -18377, -18601, -18969?
-19517
What is next in 446, 850, 1260, 1676?
2098
What is the next term in -65, -96, -107, -86, -21, 100, 289?
558
What is the next term in -93, -107, -163, -279, -473, -763, -1167?
-1703
What comes next: 27428, 27423, 27414, 27401, 27384, 27363?
27338
What comes next: -678, -666, -670, -684, -702, -718, -726?
-720
What is next in 3836, 3817, 3752, 3617, 3388, 3041, 2552, 1897?
1052
What is the next term in 336074, 336075, 336076, 336077?
336078
What comes next: -1241, -2594, -3947, -5300, -6653?
-8006
What is the next term in 4609, 9324, 14039, 18754, 23469, 28184?
32899
What comes next: -611, -809, -1131, -1577, -2147, -2841?
-3659
What is the next term in 371, 1485, 3339, 5933, 9267, 13341, 18155?
23709
What comes next: -992, -1953, -2878, -3749, -4548, -5257?
-5858
What is the next term in -12, -53, -146, -315, -584, -977, -1518?
-2231
What is next in -7995, -16031, -24079, -32145, -40235, -48355, -56511, -64709?
-72955
What is the next term in 254, 739, 1546, 2675, 4126?
5899
What is next in -877820, -877821, -877822, -877823, -877824, -877825?
-877826
What comes next: -1643, -1597, -1551?
-1505
What comes next: 2098, 4204, 6320, 8446?
10582
What is the next term in -70, -513, -1712, -4045, -7890, -13625?
-21628
What comes next: -2075, -3985, -5895, -7805?
-9715
What comes next: -10, -4, 64, 224, 506, 940, 1556, 2384?
3454
What is the next term in 712, 1400, 2066, 2704, 3308?
3872
What is next in 533, 1258, 1983, 2708, 3433, 4158?
4883
What is the next term in 62543, 125061, 187577, 250091, 312603, 375113, 437621?
500127
What comes next: -83, -192, -373, -662, -1095, -1708, -2537?
-3618
What is the next term in -15233, -15221, -15209, -15197, -15185?
-15173
What comes next: -3755, -7519, -11283, -15047, -18811, -22575?
-26339
What is the next term in -1668, -3268, -4868, -6468, -8068?
-9668
What is next in -11766, -23587, -35408, -47229, -59050?
-70871
What comes next: 113, 217, 229, 101, -215, -767, -1603, -2771?
-4319
What comes next: 145185, 145178, 145167, 145152?
145133
What is next in -5066, -5119, -5212, -5351, -5542, -5791, -6104?
-6487
What comes next: 1517, 3043, 4571, 6089, 7585, 9047, 10463?
11821
What is the next term in -475389, -950777, -1426165, -1901553?
-2376941
What comes next: -130, -591, -1384, -2509, -3966?
-5755
What is next in -6400, -12788, -19176, -25564, -31952?
-38340
What is the next term in -761, -803, -859, -929?
-1013
What is next in 29, 6, -83, -244, -483?
-806
What is the next term in 222, -421, -1062, -1701?
-2338
What is the next term in 239, 1508, 4951, 11654, 22703, 39184, 62183?
92786
What is the next term in -2765, -5603, -8451, -11315, -14201?
-17115
What is the next term in 22, 59, 116, 193, 290, 407, 544?
701
What comes next: 8771, 17542, 26305, 35054, 43783, 52486, 61157?
69790
What is next in 43056, 86112, 129168?
172224
What is next in -1091, -1134, -1205, -1304?
-1431
What comes next: -467, -978, -1495, -2024, -2571, -3142, -3743, -4380?
-5059
What comes next: -190, -248, -404, -706, -1202, -1940, -2968, -4334?
-6086
What is the next term in 25479, 25475, 25471, 25467, 25463?
25459
What is the next term in 86459, 86489, 86519, 86549?
86579
What is next in -132, -246, -316, -318, -228?
-22
What comes next: 3782, 7551, 11380, 15299, 19338, 23527, 27896?
32475
What is the next term in 6823, 13644, 20465, 27286, 34107?
40928
What comes next: -4591, -4590, -4589, -4588, -4587?
-4586
What comes next: -2819, -3069, -3483, -4061, -4803?
-5709
What comes next: 42937, 85942, 128947, 171952, 214957, 257962?
300967
What is next in 1901, 3816, 5729, 7640?
9549
What comes next: 5599, 22415, 50437, 89659, 140075, 201679, 274465, 358427?
453559
What is next in -1506, -1529, -1590, -1707, -1898, -2181?
-2574
What is the next term in -29, -10, 77, 274, 623, 1166, 1945?
3002
What comes next: 225, 880, 1963, 3474, 5413, 7780?
10575
What is next in -237, -227, -185, -87, 91, 373, 783, 1345?
2083
What is next in 123, 242, 395, 618, 947?
1418
What comes next: 94, 123, 160, 205?
258
What is next in 272794, 272796, 272798?
272800
What is next in 1464, 1444, 1396, 1308, 1168, 964?
684
What is the next term in -15, -6, -3, -12, -39, -90?
-171
What is next in 1422, 1385, 1326 | {
"pile_set_name": "DM Mathematics"
} |
-849
What is the next term in -49, -246, -591, -1084?
-1725
What is next in -72, -221, -422, -645, -860, -1037?
-1146
What is the next term in 25939, 51815, 77691, 103567?
129443
What is the next term in -249, -602, -1571, -3468, -6605, -11294, -17847?
-26576
What is the next term in -18401, -18402, -18403, -18404, -18405?
-18406
What is next in 645, 1251, 1867, 2499, 3153, 3835, 4551, 5307?
6109
What is the next term in 5922, 11839, 17756?
23673
What is the next term in -252, -257, -246, -213, -152?
-57
What is the next term in 7, 5, -7, -29?
-61
What is the next term in -530291, -1060581, -1590869, -2121155, -2651439, -3181721?
-3712001
What is the next term in -7856, -31412, -70670, -125630, -196292, -282656?
-384722
What is the next term in 77, 190, 375, 668, 1105, 1722, 2555?
3640
What is next in -10489, -10498, -10507, -10516?
-10525
What is the next term in 13346, 12864, 12390, 11930, 11490, 11076?
10694
What is next in -9002, -18021, -27040?
-36059
What is next in 4006, 4406, 4806, 5206, 5606?
6006
What is next in -81440, -81413, -81396, -81395, -81416?
-81465
What is the next term in 79648, 318563, 716754, 1274221, 1990964, 2866983?
3902278
What is the next term in 3854, 7674, 11496, 15320, 19146, 22974?
26804
What comes next: 36, 78, 130, 192, 264?
346
What is next in 36282, 36281, 36270, 36243, 36194?
36117
What is next in 112816, 225591, 338366, 451141, 563916?
676691
What is next in 107707, 107705, 107703?
107701
What is next in 12258, 12289, 12320, 12351?
12382
What is next in -29248, -29243, -29234, -29221, -29204, -29183?
-29158
What is next in 138068, 138057, 138044, 138029?
138012
What is the next term in 36402, 72818, 109222, 145608, 181970, 218302?
254598
What is next in -4276, -4272, -4268, -4264?
-4260
What is the next term in -413369, -413368, -413367, -413366, -413365, -413364?
-413363
What is the next term in 372, 736, 1098, 1458, 1816, 2172, 2526?
2878
What is the next term in -27131, -27130, -27127, -27122, -27115, -27106, -27095?
-27082
What comes next: -47, -110, -233, -428, -707?
-1082
What comes next: 215, 960, 2181, 3878, 6051?
8700
What is the next term in -25126, -50272, -75424, -100582, -125746?
-150916
What comes next: -145, -294, -451, -616, -789, -970, -1159?
-1356
What comes next: -381, -765, -1137, -1491, -1821?
-2121
What comes next: 49, 127, 207, 289?
373
What is next in -118, -281, -444?
-607
What is the next term in 149, 133, 87, 11, -95, -231?
-397
What is next in -408, -606, -860, -1170?
-1536
What is the next term in 3864, 7716, 11540, 15324, 19056, 22724, 26316?
29820
What is the next term in 139, 3, -221, -533, -933, -1421, -1997?
-2661
What is next in 5527, 5020, 4513?
4006
What comes next: 735, 733, 731, 729?
727
What is next in 202963, 202951, 202945, 202951, 202975, 203023?
203101
What comes next: 257537, 515081, 772627, 1030175, 1287725?
1545277
What is next in 7967, 15953, 23947, 31955, 39983, 48037?
56123
What comes next: 3493, 6978, 10459, 13936?
17409
What comes next: 801725, 801742, 801771, 801812?
801865
What is the next term in -18993, -38190, -57387, -76584, -95781?
-114978
What is next in 5326, 10671, 16016, 21361?
26706
What is the next term in 4218, 16983, 38258, 68043, 106338, 153143, 208458?
272283
What is next in -8618, -17245, -25870, -34493?
-43114
What is the next term in 135687, 135686, 135685, 135684, 135683?
135682
What is the next term in 1052, 2163, 3274, 4385?
5496
What is next in 1940, 3928, 5948, 8000, 10084, 12200, 14348?
16528
What comes next: 13405, 26802, 40199, 53596, 66993?
80390
What comes next: 3398421, 3398419, 3398417, 3398415, 3398413?
3398411
What is the next term in 6681, 13366, 20053, 26742, 33433, 40126?
46821
What comes next: 131, 489, 991, 1631, 2403?
3301
What comes next: 1938, 4344, 6750, 9156, 11562?
13968
What comes next: 1107, 2197, 3269, 4323, 5359, 6377, 7377?
8359
What is next in -396, -793, -1168, -1515, -1828?
-2101
What is the next term in 150, 264, 372, 486, 618, 780, 984, 1242?
1566
What is the next term in 3372, 13504, 30390, 54030, 84424?
121572
What is next in 272394, 272391, 272388, 272385, 272382, 272379?
272376
What is next in -1166, -971, -632, -137, 526, 1369, 2404?
3643
What is the next term in 1044, 2170, 3296?
4422
What is next in 964, 1445, 1926, 2407, 2888, 3369?
3850
What is the next term in -52045, -104096, -156147?
-208198
What is next in 284, 504, 746, 1010, 1296, 1604, 1934?
2286
What is next in 13200, 13199, 13196, 13191, 13184, 13175?
13164
What is the next term in -19539, -19529, -19517, -19503?
-19487
What comes next: -2307, -2404, -2567, -2796?
-3091
What comes next: -434770, -869536, -1304302, -1739068, -2173834, -2608600?
-3043366
What comes next: -379, -754, -1205, -1738, -2359, -3074, -3889?
-4810
What is next in 17, -155, -327?
-499
What is the next term in 339, 2337, 7759, 18315, 35715, 61669?
97887
What is the next term in 329179, 658357, 987535?
1316713
What is next in 326, 340, 354, 368, 382?
396
What is next in -1197, -1248, -1333, -1452, -1605, -1792?
-2013
What comes next: 134, 127, 114, 89, 46, -21?
-118
What is next in 1622, 1604, 1586?
1568
What is the next term in -509, -1803, -3877, -6731?
-10365
What comes next: -6, 49, 190, 459, 898, 1549?
2454
What is next in -361522, -723044, -1084564, -1446082, -1807598?
-2169112
What comes next: -6767, -6790, -6813, -6836, -6859, -6882?
-6905
What is the next term in -1559, -6300, -14225, -25334, -39627?
-57104
What comes next: 1176, 2349, 3524, 4701?
5880
What is the next term in 90001, 90002, 90003, 90004, 90005, 90006?
90007
What is the next term in 889, 2047, 3203, 4357, 5509?
6659
What comes next: -7945, -15905, -23865, -31825, -39785, -47745?
-55705
What is next in -478, -989, -1834, -3007, -4502, -6313?
-8434
What is next in 17, 164, 565, 1346, 2633, 4552, 7229?
10790
What is the next term in -161, -582, -1285, -2270, -3537, -5086?
-6917
What is the next term in -1731, -1714, -1685, -1638, -1567?
-1466
What is next in -67, -110, -149, -196, -263?
-362
What comes next: -1342260, -1342261, -1342262, -1342263, -1342264, -1342265?
-1342266
What is the next term in -3031, -6033, -9035?
-12037
What is the next term in -278, -646, -1014, -1382, -1750, -2118?
-2486
What is next in -5165046, -10330090, -15495134?
-20660178
What is the next term in 921, 3654, 8219, 14622, 22869, 32966?
44919
What is next in -442, -882, -1314, -1732, -2130?
-2502
What is the next term in -908, -1426, -1944?
-2462
What is the next term in -7277, -14521, -21745, -28943, -36109, -43237, -50321?
-57355
What is the next term in -967835, -1935671, -2903507, -3871343, -4839179?
-5807015
What is next in -312, -255, -174, -57, 108, 333?
630
What comes next: -30195, -30305, -30415?
-30525
What is next in -1674, -2764, -4580, -7122, -10390, -14384?
-19104
What is the next term in -1380018, -1380023, -1380030, -1380039, -1380050, -1380063, -1380078?
-1380095
What is next in -8018, -16036, -24054?
-32072
What is next in 80, 309, 864, 1889, 3528, 5925, 9224, 13569?
19104
What is the next term in 3661649, 7323298, 10984947, 14646596?
18308245
What is next in -35556, -35560, -35564, -35568, -35572, -35576?
-35580
What is next in -319, -639, -949, -1243, -1515, -1759, -1969, -2139?
-2263
What is next in -759, -133, 499, 1137, 1781, 2431, 3087?
3749
What is the next term in 430, 1558, 3428, 6040, 9394?
13490
What comes next: 5688, 5550, 5320, 4998?
4584
What comes next: 7059, 7086, 7139, 7218?
7323
What comes next: 95812, 95814, 95816?
95818
What comes next: 3565, 3538, 3493, 3430, 3349?
3250
What comes next: -517274, -517292, -517318, -517358, -517418, -517504, -517622, -517778?
-517978
What comes next: -724, -2751, -6130, -10861, -16944?
-24379
What is next in 92, 489, 1510, 3467, 6672?
11437
What is next in 31688, 31691, 31694, 31697, 31700, 31703?
31706
What comes next: -140117, -280232, -420349, -560468, -700589, -840712?
-980837
What comes next: -17470, -35017, -52562, -70105, -87646, -105185, -122722?
-140257
What comes next: -20111, -20129, -20149, -20171, -20195, -20221, -20249?
-20279
What is the next term in -95650, -95645, -95640, -95635, -95630?
-95625
What is the next term in -305, -1199, -2691, -4787, -7493, -10815, -14759, -19331?
-24537
What is the next term in 532, 488, 450 | {
"pile_set_name": "DM Mathematics"
} |
?
1494
Calculate the remainder when 3518888 is divided by 1172945.
53
Calculate the remainder when 68857 is divided by 4570.
307
Calculate the remainder when 186256 is divided by 569.
193
What is the remainder when 47506790 is divided by 4400?
4390
Calculate the remainder when 736219501 is divided by 317.
315
What is the remainder when 3050556 is divided by 31128?
12
Calculate the remainder when 25651 is divided by 4977.
766
Calculate the remainder when 58234 is divided by 7273.
50
Calculate the remainder when 116001 is divided by 4077.
1845
Calculate the remainder when 7159461 is divided by 23.
21
Calculate the remainder when 4963162 is divided by 703.
685
What is the remainder when 300041 is divided by 16?
9
Calculate the remainder when 638345 is divided by 33.
26
What is the remainder when 150481 is divided by 37603?
69
Calculate the remainder when 61030 is divided by 772.
42
Calculate the remainder when 38867397 is divided by 30.
27
What is the remainder when 5140040 is divided by 3567?
3560
Calculate the remainder when 1297102 is divided by 24944.
14
What is the remainder when 241298108 is divided by 13291?
3
Calculate the remainder when 474626 is divided by 308.
306
What is the remainder when 4179737 is divided by 33?
23
Calculate the remainder when 1826291 is divided by 76.
11
Calculate the remainder when 1760078 is divided by 1909.
1889
Calculate the remainder when 1260084 is divided by 106.
62
Calculate the remainder when 62911357 is divided by 20.
17
Calculate the remainder when 41874 is divided by 13698.
780
What is the remainder when 11578849 is divided by 1835?
1834
What is the remainder when 16705 is divided by 8283?
139
Calculate the remainder when 54480 is divided by 18065.
285
Calculate the remainder when 492503 is divided by 10471.
366
Calculate the remainder when 25783491 is divided by 68.
67
Calculate the remainder when 840054 is divided by 688.
6
What is the remainder when 5492045 is divided by 401?
350
What is the remainder when 678633 is divided by 4295?
23
What is the remainder when 5685973 is divided by 1895240?
253
What is the remainder when 49574688 is divided by 7082092?
44
Calculate the remainder when 137037 is divided by 2921.
2671
Calculate the remainder when 913345 is divided by 1167.
751
Calculate the remainder when 10113564 is divided by 4485.
4374
What is the remainder when 1351713 is divided by 67?
55
Calculate the remainder when 17134672 is divided by 672.
16
What is the remainder when 94143 is divided by 881?
757
What is the remainder when 4261772 is divided by 1218?
1208
Calculate the remainder when 7005030 is divided by 1093.
1086
What is the remainder when 6528356 is divided by 114532?
32
What is the remainder when 8632612 is divided by 308?
296
Calculate the remainder when 2468076 is divided by 36.
24
Calculate the remainder when 5142911 is divided by 5753.
5482
What is the remainder when 53424 is divided by 204?
180
What is the remainder when 546564 is divided by 11385?
84
What is the remainder when 278245 is divided by 2728?
2717
What is the remainder when 189958 is divided by 4136?
3838
What is the remainder when 43573109 is divided by 7262181?
23
What is the remainder when 7000 is divided by 1740?
40
What is the remainder when 47084 is divided by 2478?
2
What is the remainder when 9536205 is divided by 170?
55
Calculate the remainder when 117376 is divided by 58656.
64
What is the remainder when 25562143 is divided by 25562139?
4
What is the remainder when 552529 is divided by 858?
835
Calculate the remainder when 5326456 is divided by 5326378.
78
Calculate the remainder when 15027 is divided by 6148.
2731
What is the remainder when 11761716 is divided by 73973?
9
Calculate the remainder when 3525169 is divided by 29619.
508
What is the remainder when 89383 is divided by 29550?
733
What is the remainder when 34287 is divided by 1986?
525
What is the remainder when 44331249 is divided by 17?
9
Calculate the remainder when 710568 is divided by 16.
8
What is the remainder when 4506228 is divided by 299?
298
Calculate the remainder when 11224243 is divided by 230.
13
What is the remainder when 10977295 is divided by 17?
4
What is the remainder when 93614544 is divided by 471?
468
Calculate the remainder when 44114189 is divided by 1222.
1211
Calculate the remainder when 30112908 is divided by 19.
17
Calculate the remainder when 31443 is divided by 6228.
303
What is the remainder when 9525 is divided by 2222?
637
What is the remainder when 26007234 is divided by 2167259?
126
What is the remainder when 62557576 is divided by 160?
136
What is the remainder when 2881191 is divided by 4372?
43
What is the remainder when 15772647 is divided by 1752513?
30
Calculate the remainder when 1300476 is divided by 75.
51
Calculate the remainder when 1298978 is divided by 51945.
353
What is the remainder when 549593 is divided by 5432?
961
What is the remainder when 4399505 is divided by 367?
276
Calculate the remainder when 3469508 is divided by 3469489.
19
What is the remainder when 37077408 is divided by 3370672?
16
Calculate the remainder when 13643641 is divided by 509.
405
What is the remainder when 4766977 is divided by 105932?
37
Calculate the remainder when 85466 is divided by 161.
136
Calculate the remainder when 847550 is divided by 211883.
18
Calculate the remainder when 84724 is divided by 10560.
244
Calculate the remainder when 12531999 is divided by 79.
71
Calculate the remainder when 3783866 is divided by 3543.
3485
Calculate the remainder when 2770726 is divided by 324.
202
Calculate the remainder when 29549 is divided by 7245.
569
Calculate the remainder when 520539 is divided by 413.
159
Calculate the remainder when 385115 is divided by 34956.
599
Calculate the remainder when 814383 is divided by 26268.
75
What is the remainder when 66901984 is divided by 53?
31
What is the remainder when 11036822 is divided by 113?
112
Calculate the remainder when 130464 is divided by 32594.
88
Calculate the remainder when 165993 is divided by 20737.
97
Calculate the remainder when 4462127 is divided by 99.
98
Calculate the remainder when 3657 is divided by 3077.
580
What is the remainder when 2468430 is divided by 1624?
1574
Calculate the remainder when 128312 is divided by 2982.
86
What is the remainder when 15213834 is divided by 6711?
6708
Calculate the remainder when 298788 is divided by 149144.
500
What is the remainder when 14552306 is divided by 194030?
56
What is the remainder when 2289421 is divided by 304?
301
What is the remainder when 139274 is divided by 45603?
2465
What is the remainder when 29634 is divided by 29324?
310
Calculate the remainder when 881017 is divided by 91.
46
What is the remainder when 502475 is divided by 4578?
3473
Calculate the remainder when 1546433 is divided by 650.
83
Calculate the remainder when 2586219 is divided by 8.
3
What is the remainder when 72344511 is divided by 28674?
9
What is the remainder when 264886 is divided by 2559?
1309
Calculate the remainder when 27244925 is divided by 3037.
3035
What is the remainder when 45723 is divided by 454?
323
What is the remainder when 14772403 is divided by 363?
118
Calculate the remainder when 8971264 is divided by 289389.
205
Calculate the remainder when 10705559 is divided by 144.
23
What is the remainder when 86625 is divided by 159?
129
Calculate the remainder when 33989154 is divided by 1231.
13
Calculate the remainder when 6064411 is divided by 140.
31
Calculate the remainder when 6812439 is divided by 15.
9
What is the remainder when 1498448 is divided by 772?
768
Calculate the remainder when 1014483 is divided by 12680.
83
Calculate the remainder when 617838 is divided by 123554.
68
What is the remainder when 5454470 is divided by 3239?
3233
What is the remainder when 1032015 is divided by 1789?
1551
What is the remainder when 1118654 is divided by 176?
174
Calculate the remainder when 7899495 is divided by 370.
365
What is the remainder when 26774190 is divided by 250226?
8
What is the remainder when 45051677 is divided by 53?
34
What is the remainder when 19684335 is divided by 69067?
240
What is the remainder when 41695127 is divided by 4169507?
57
What is the remainder when 71684436 is divided by 344?
340
What | {
"pile_set_name": "DM Mathematics"
} |
+ v). Suppose 0 = 5*z - u - 4324, 0*z = w*z + 4*u - 2599. Is z a prime number?
False
Let j(o) = 156*o + 4. Let r be 2 + 1*(-1 + 1). Let v be j(r). Suppose -u - 8 = -5*u, -u = -3*t + v. Is t prime?
False
Is (0 + -6)*(-41487)/18 a composite number?
False
Let f(p) = 2519*p - 450. Is f(13) a prime number?
True
Let l(u) = 13*u**2 + 2*u + 27. Let a(y) = -13*y**2 - y - 28. Let q(b) = 2*a(b) + 3*l(b). Is q(8) a composite number?
True
Let m = -61 + 170. Is m prime?
True
Let g(j) = 17*j**2 - 1 - 5*j**2 + 0. Is g(6) a composite number?
False
Let w = 11231 - 6076. Is w a composite number?
True
Let m = -18 + 32. Let q = m - 10. Is (1 - 1)/2 + q prime?
False
Suppose -5*i = -3 + 8. Let p = i + 4. Suppose 2*u + 3*w - 86 = 0, p*u - 2 = w + 149. Is u prime?
False
Let i = 16 + -13. Suppose i*l + 594 = 6*l. Suppose -5*h = 2*z - 153, 0*h - 3*h = -3*z + l. Is z composite?
True
Let c = 55 - -6656. Is c a composite number?
True
Suppose 4*o = 4*r + 636, -2*o + 157 = 5*r - 147. Is o a composite number?
False
Suppose -6*t + 10*t + 4*x = 4060, -15 = -3*x. Suppose -2*o - t = -3*o - p, -o + 1007 = -2*p. Is o prime?
True
Let k = -9 + 25. Is (k/24)/(4/762) composite?
False
Let f = 1 - -12. Suppose f = u - 3. Let g = u - 1. Is g a prime number?
False
Suppose 420 = -2*w + 4*x - 0*x, 0 = -5*w + 3*x - 1050. Let l = 511 - w. Is l a prime number?
False
Suppose 0*q + 4*k = -2*q + 16, 4*q - 25 = -k. Let r be (2/q)/((-3)/(-18)). Suppose -83 = -w - 4*p, 4*p + 119 = r*w - 83. Is w a composite number?
True
Is -2*(-4679)/(-2)*(24 + -31) composite?
True
Let d = 24 + -9. Is (-1058)/(-8) - d/(-20) a composite number?
True
Let p(a) = 56*a**2 + 25*a - 97. Is p(12) a composite number?
True
Suppose 6*t = h + 505576, -2*h = 8*t - 13*t + 421311. Is t a prime number?
True
Let c = -9681 + 14628. Suppose 4*v = c - 755. Is -4*1 + v/8 prime?
True
Let t be 50/(-6) + 1/3. Let u be ((-4)/t)/(2/8). Suppose -38 + 148 = u*h. Is h a composite number?
True
Let l be 1*4 - (-41 + 12). Suppose -31*y - 148 = -l*y. Is y prime?
False
Let f(w) = w**2 + w - 2. Let j be f(2). Suppose -b - 3070 = -6*b. Suppose -b = -6*z + j*z. Is z composite?
False
Let x(j) = -8*j**3 - j**2 - 2*j - 1. Let a be x(-1). Let d(s) = 56*s + 13. Let b be d(a). Let o = b + -204. Is o a prime number?
True
Is (-141810)/(-180) + (-5)/6 a composite number?
False
Let c(r) = -160*r + 1. Suppose 2*s + 4*p - 16 = 0, 0 = 4*s + p - 1 - 3. Suppose -k - 2 + 1 = s. Is c(k) prime?
False
Let f(v) be the first derivative of 1/2*v**2 + 28/3*v**3 - 5*v - 4. Is f(4) a prime number?
False
Let m(l) = 166*l**2 + 23*l - 116. Is m(9) a composite number?
False
Let z = 569 + 1190. Is z a composite number?
False
Suppose -s + o + 0 = 2, 5*s - 40 = -5*o. Suppose 3*w = 2*z + 9 - 29, 2*w = -4. Suppose 4*t - z*n - 2508 = -s*n, 1266 = 2*t + n. Is t a composite number?
False
Suppose 5*j - 13658 = -4*k, 0 = -j + 2*k - 7*k + 2719. Is j prime?
False
Is 6/(-2) + 2460 + 20 a prime number?
True
Let y = 5 - 13. Is (1 - 12/5)/(y/5480) a composite number?
True
Let o = 23 + -27. Is -4 - (-1 + o) - -222 a composite number?
False
Let j = 7 - 4. Suppose 40 + 14 = -j*a. Is 201/2*(-12)/a a prime number?
True
Let x(y) = -5*y**2 + y - 23. Let p(t) = 2*t**2 + 11. Let j(i) = -7*p(i) - 3*x(i). Let b be j(5). Is 221/b - 21/14 a prime number?
True
Suppose 2967 = h + 1156. Is h prime?
True
Suppose -9*w - 20 = -14*w. Suppose -3*f = j + 378, 2*j = -w*f - 871 + 109. Let z = 836 + j. Is z a prime number?
True
Let i(y) = 469*y + 555. Is i(14) a composite number?
False
Let n(q) = -q - 8. Let f be n(-13). Let p(m) = -20*m**3 - 5*m - m**2 + m + 14*m**3 + f. Is p(-4) prime?
True
Is 995660/100 + 4/10 a prime number?
False
Let t(k) = -k**3 + 7*k**2 + 13*k - 6. Let i be t(7). Suppose -339 = -4*u - 5*o, 208 = 3*u - 4*o - i. Is u a prime number?
False
Suppose -3*k = 8 - 8. Suppose k = -6*n + 11*n - 245. Is n prime?
False
Let j = 10624 - 785. Is j composite?
False
Let i be 20/(-70) - 37/(-7). Let v be (-3)/i - (-3386)/10. Suppose -2*t + 4*t = v. Is t a prime number?
False
Suppose -4*v + c + 313 = 0, -16*c + 18*c = 4*v - 310. Is v prime?
True
Let c be ((-2)/(-4))/(1/32). Let r be (-7)/2 - 8/c. Is 71 - (-2 - r) - 2 a prime number?
True
Let w(g) = 7*g**3 - 6*g**2 + 5*g. Let u be w(5). Let k be (5/2)/((-2)/(-448)). Suppose -2*r = 4*t - u, 3*t - r = -0*t + k. Is t a composite number?
True
Let p = -74220 + 142979. Is p prime?
False
Let v(n) = 584*n - 25. Suppose -27 - 12 = -13*g. Is v(g) a prime number?
False
Let h(z) = 2*z**2 + 6*z - 11. Let u be h(5). Suppose 4*g + 112 = 32. Let m = u + g. Is m prime?
False
Let f = 11 - 9. Suppose r + 2 = -3, -40 = -5*p - f*r. Is 332/p - 8/40 a composite number?
True
Suppose 0 = -14*a + 9*a. Suppose a = -j - 3*z + 1129, 2*j + z - 4472 = -2*j. Is j composite?
False
Let p = -31 + 9. Let b be (-3952)/(-44) - 4/p. Is (6*b)/4 - 1 a prime number?
False
Suppose 2*v - 132 - 206 = 0. Suppose -212 = -t + v. Suppose 4*s + t = 7*s. Is s prime?
True
Let l(j) = -1330*j + 99. Is l(-5) a composite number?
True
Let k be (106 + -1)*(-2)/(-3). Suppose -m + 229 = -133. Suppose 3*i - 223 = -j, i + k + m = 2*j. Is j a prime number?
False
Let y be -18*(((-4)/(-12))/1 - 1). Let f(l) = 27*l + 15. Is f(y) composite?
True
Let a(p) = -1 + 2 - 2 - 225*p - 69*p. Let h = 2 + -3. Is a(h) composite?
False
Let f = -4429 + 8603. Suppose 871 = 5*m - f. Is m a prime number?
True
Let i(u) = u + 2. Let c be i(-2). Suppose 159 = r + 5*j, 3*r - 4*j - 249 - 190 = c. Is r a composite number?
False
Let u(v) = 34*v**2 - 16*v + 20. Let p be u(9). Suppose 10603 = 3*f - p. Is f composite?
True
Let c be 1/(-3) + 4/3. Let y be c*(1 + -2)*169. Let h = y + 288. Is h composite?
True
Let s(u) = 60*u - 47. Is s(15) a prime number?
True
Let f be (-42)/1*(3 - (-6)/(-3)). Is (-2)/(56/(-64644)) + (-12)/f a prime number?
True
Suppose -2*h = -3*v + 1911, 6*h + 641 = v + 4*h. Is v a composite number?
True
Suppose -i - 4*w + 175 = -9*w, i - 3*w = 179. Is i a composite number?
True
Let l be 0 - -7 - 4/2. Suppose 16 + l = u. Is u a composite number?
True
Let t be (-1)/4*12*(-4)/6. Is (-6)/t - (-5104)/(6 + -2) a composite number?
True
Let z = 495 - 483. Let j(x) = -x**3 + 6*x**2 + 5. Let t be j(6). Suppose z*k = t*k + 1015. Is k a prime number?
False
Let f = -65 - -82. Let o(s) = s**3 - 15*s**2 - 21*s - 10. Is o(f) prime?
True
Let f(k) = 37*k - 53. Let v(n) = -111*n + 158. Let b(h) = 17*f(h) + 6*v(h). Is b(-6) a prime number?
True
Suppose 5*w - 264 = f, -2*w + 5*w + 5*f - 164 = 0. Let n = 458 + w. Is n a composite number?
True
Suppose -7*s + 859 = -2*s - 3*m, 4*m + 692 = 4*s. Let f = s + -112. Is f composite?
True
Let s(h) = 1214*h**3 + h - 2. Let w be s(1). Let x = -724 + w. Is x composite?
True
Suppose 0 = t + 2*t - 18. Let h = 14 + -18. Is (h/t)/(8/(-2868)) prime?
True
Suppose -x + 15 = -4*r - 2, r = -3*x + 12. Let h be 2 - (0 - r) - 265. Let l = 1407 + h. Is l a prime number?
False
Let n = 4157 - 2184. Is n composite?
False
Let u = 9769 - 5796. Is u a composite number?
True
Let l be ((-1)/2)/(-7*(-4)/112). Is ((-5)/20)/(l/1192) a composite number?
False
Let h be (-6 - 0) + 4 - (0 - 225). Suppose 4*r - h = 1893. Is r a composite number?
True
Let k(t) be the third derivative of t**5/60 + t**4/6 + t**3/3 - 2*t**2. Is k(11) composite?
False
Let m(f) = -f**3 - 11*f**2 + 13*f + 16. Let c be m(-12). Is (6 - c)/(-1) + 1209 composite?
True
Let c(p) = 18*p**3 - 4*p**2 + 6*p + 13. Is c(6) composite?
False
Suppose -6*w + 3*f + 620 = -4*w, -937 = -3*w + f. Let y(i) = -7*i + 37. Let v be y(5). Suppose v*b = w + 369. Is b a composite number?
True
Suppose -3*r - 5*q = -1717 - 9945, 0 = -3*r - q + 11666. Is r composite?
False
Let y be (991/2)/(5/10). Suppose y + 1142 = 3*u. Let f = u - 292. Is f a prime number?
True
Suppose -3*l = 2*v + 37, -5*l + 4*v = 5 + 20. Let o be 3/(-3 + (-28)/l). Let i = 28 + o. Is i a composite number?
True
Suppose 3*w + 4*h - 12 = h, -w = 5*h. Suppose 2*u - f - 7 = 0, -8*u + 3*f + 6 = -5*u. Suppose -u*r + w*a = 4*a - 418, 0 = -r + 3*a + 92. Is r prime?
True
Let v(w) = w**3 + 6*w**2 - 13*w + 11. Is v(16) composite?
True
Let w(b) = 45*b + 15. Let o(g) = -15*g - 5. Let n(l) = -8*o(l) - 3*w(l). Let z = 11 + -21. Is n(z) a prime number?
False
Suppose 3*y - 5*c = 77907, -5*c = 2*y - 3*c - 51938. Is y a prime number?
True
Suppose 8*f - 4 | {
"pile_set_name": "DM Mathematics"
} |
7
How many months are there in 0.3837477 decades?
46.049724
What is seven eighths of a kilometer in meters?
875
How many grams are there in 77/2 of a kilogram?
38500
What is three fifths of a litre in millilitres?
600
How many hours are there in 1/4 of a week?
42
How many months are there in three eighths of a century?
450
How many minutes are there in one fifth of a hour?
12
Convert 258.3987um to meters.
0.0002583987
Convert 532935.6 micrograms to nanograms.
532935600
How many centimeters are there in 311.134 kilometers?
31113400
What is 83370.18mg in kilograms?
0.08337018
How many milligrams are there in 59963.9 nanograms?
0.0599639
Convert 555.7712 kilometers to micrometers.
555771200000
How many millilitres are there in 3/8 of a litre?
375
How many meters are there in 3/50 of a kilometer?
60
How many centimeters are there in thirty-one fifths of a meter?
620
How many hours are there in eight thirds of a day?
64
What is 7/2 of a litre in millilitres?
3500
What is 2/125 of a centimeter in micrometers?
160
How many meters are there in sixty-four fifths of a kilometer?
12800
What is 13023.6 months in decades?
108.53
How many kilometers are there in 724.4884mm?
0.0007244884
How many years are there in one quarter of a century?
25
How many nanometers are there in 19.33108 millimeters?
19331080
How many kilograms are there in 21/8 of a tonne?
2625
How many months are there in fourty-eight fifths of a decade?
1152
How many millilitres are there in twenty-one fifths of a litre?
4200
Convert 17.85621 kilograms to tonnes.
0.01785621
What is 7471.571nm in micrometers?
7.471571
What is 15/4 of a litre in millilitres?
3750
What is twenty-seven quarters of a century in years?
675
What is 1/10 of a meter in micrometers?
100000
What is 1/4 of a gram in milligrams?
250
What is twenty-five quarters of a litre in millilitres?
6250
What is 3/40 of a decade in months?
9
How many millimeters are there in eleven halves of a meter?
5500
How many nanometers are there in 69.63558 kilometers?
69635580000000
What is 66.86753km in micrometers?
66867530000
How many minutes are there in one tenth of a hour?
6
What is 85.3896km in meters?
85389.6
What is 0.6620344 kilometers in micrometers?
662034400
What is 12/25 of a milligram in micrograms?
480
Convert 318.8183um to meters.
0.0003188183
What is 348.53814s in hours?
0.09681615
How many milliseconds are there in 616.2089 days?
53240448960
What is fifteen quarters of a millimeter in micrometers?
3750
What is 2/45 of a week in seconds?
26880
What is 11/2 of a centimeter in micrometers?
55000
What is thirteen fifths of a litre in millilitres?
2600
What is 3/40 of a gram in micrograms?
75000
How many months are there in 12/25 of a century?
576
What is 42/5 of a kilogram in grams?
8400
What is eleven halves of a litre in millilitres?
5500
What is twenty-seven fifths of a microgram in nanograms?
5400
How many meters are there in six fifths of a kilometer?
1200
How many tonnes are there in 0.1101386ug?
0.0000000000001101386
What is 1/5 of a centimeter in micrometers?
2000
Convert 65.89958 decades to years.
658.9958
What is 398.9425ml in litres?
0.3989425
How many centimeters are there in 3/10 of a meter?
30
How many litres are there in 85803.2ml?
85.8032
How many millimeters are there in seventy-one fifths of a meter?
14200
How many milliseconds are there in 3/40 of a minute?
4500
What is three fifths of a microsecond in nanoseconds?
600
What is 3331.923nm in centimeters?
0.0003331923
How many centimeters are there in 10544.05km?
1054405000
What is 150988.4 kilometers in centimeters?
15098840000
What is 5/28 of a week in hours?
30
Convert 2.0585013 months to centuries.
0.00171541775
What is 1/20 of a microgram in nanograms?
50
Convert 0.9388552 millimeters to meters.
0.0009388552
What is 31076.94 months in years?
2589.745
What is three fifths of a kilometer in centimeters?
60000
How many litres are there in 0.4820396 millilitres?
0.0004820396
What is six fifths of a millimeter in micrometers?
1200
What is eighteen fifths of a hour in minutes?
216
Convert 202.87998 months to years.
16.906665
How many hours are there in 43/4 of a day?
258
What is 22.17906 weeks in seconds?
13413895.488
Convert 9643.781 millilitres to litres.
9.643781
How many millilitres are there in 7/4 of a litre?
1750
How many micrometers are there in twenty-one fifths of a millimeter?
4200
What is 1/10 of a meter in centimeters?
10
What is 4169.346um in centimeters?
0.4169346
What is 19.29118 nanograms in grams?
0.00000001929118
How many seconds are there in two fifteenths of a week?
80640
Convert 88.23041 centuries to years.
8823.041
How many millilitres are there in eighteen fifths of a litre?
3600
What is 913.1403 centimeters in kilometers?
0.009131403
What is 46/5 of a century in months?
11040
What is thirty-two fifths of a meter in millimeters?
6400
What is 7653.387 litres in millilitres?
7653387
What is 11/2 of a hour in minutes?
330
How many microseconds are there in 1/10 of a second?
100000
How many meters are there in one quarter of a kilometer?
250
How many tonnes are there in 914972.7ng?
0.0000000009149727
What is 27/5 of a century in years?
540
What is 37150.72nm in meters?
0.00003715072
How many microseconds are there in 69.5817ns?
0.0695817
What is 10/9 of a day in minutes?
1600
How many kilograms are there in 0.0091602ng?
0.0000000000000091602
Convert 50100.63 millimeters to nanometers.
50100630000
How many litres are there in 4604.383 millilitres?
4.604383
What is 25/4 of a meter in centimeters?
625
What is 13/4 of a litre in millilitres?
3250
What is 7/8 of a centimeter in micrometers?
8750
What is 497158.2 milligrams in micrograms?
497158200
Convert 55.13878 years to centuries.
0.5513878
Convert 1.962463 years to millennia.
0.001962463
How many months are there in twenty-three sixths of a decade?
460
How many months are there in 1/4 of a century?
300
How many kilograms are there in 27/2 of a tonne?
13500
What is 2.611155 millennia in years?
2611.155
How many nanometers are there in 9.06542um?
9065.42
What is 3/10 of a century in decades?
3
How many meters are there in 18674.45 nanometers?
0.00001867445
How many meters are there in twenty-five halves of a kilometer?
12500
How many tonnes are there in 0.1073152 micrograms?
0.0000000000001073152
How many centimeters are there in eighty-eight fifths of a meter?
1760
How many microseconds are there in 782859.9 minutes?
46971594000000
What is 1145979.6 months in decades?
9549.83
What is eleven quarters of a litre in millilitres?
2750
What is seven quarters of a microgram in nanograms?
1750
Convert 96.12636l to millilitres.
96126.36
How many minutes are there in 7/2 of a week?
35280
How many grams are there in 8.803654ng?
0.000000008803654
What is 880073.2mg in tonnes?
0.0008800732
How many micrometers are there in eleven eighths of a centimeter?
13750
How many millilitres are there in 9/25 of a litre?
360
What is one fifth of a litre in millilitres?
200
How many milligrams are there in 26.24762ng?
0.00002624762
What is 3/8 of a meter in millimeters?
375
What is three fifths of a decade in years?
6
How many millilitres are there in 3/40 of a litre?
75
Convert 0.1933975cm to millimeters.
1.933975
What is fifteen quarters of a kilometer in meters?
3750
How many millilitres are there in 1/4 of a litre?
250
Convert 6929.596 weeks to microseconds.
4191019660800000
What is 10488.54ml in litres?
10.48854
Convert 77.57958 micrometers to centimeters.
0.007757958
How many days are there in 9822902.4 nanoseconds?
0.000000113691
Convert 0.3975416 millennia to decades.
39.75416
What is 0.0009349 litres in millilitres?
0.9349
How many nanoseconds are there in 1/4 of a microsecond?
250
What is thirteen quarters of a day in hours?
78
How many kilometers are there in 0.5736342 meters?
0.0005736342
How many millilitres are there in 41/2 of a litre?
20500
How many days are there in eighteen sevenths of a week?
18
How many meters are there in 7/4 of a kilometer?
1750
What is 21.2848 kilograms in nanograms?
21284800000000
How many millilitres are there in eleven tenths of a litre?
1100
What is sixty-nine halves of a micrometer in nanometers?
34500
What is 3.843209 weeks in minutes?
38739.54672
What is three fifths | {
"pile_set_name": "DM Mathematics"
} |
5 - 11))
36
(-18 - -19 - -61) + (8 - 16 - -22)
76
What is -36 + -28 + 48 + -18 + (-1 - 2)?
-37
(-123 - 2) + -6380 + 6370
-135
(-4 - -17 - 11 - 22) + -4 + -4
-28
What is 17 + -67 + (26 - 6)?
-30
Evaluate (-50 - (-75 - -52)) + -8.
-35
-11 - ((-7 - (-10 + (-10 + 12 - -6))) + -22)
16
What is 34 + -29 + 6 + 2 + -5 + -1?
7
Calculate -231 + 95 + 57 - 24.
-103
What is 12 + 22 + 90 + -39 - -1?
86
What is 6 + -4 + ((14 - -7 - 2) + 6 - 6)?
21
What is the value of -64 + (-20 - -26) - 58?
-116
What is the value of -16 + (0 - (15 + -5 + -18)) - (-1 - 7)?
0
What is the value of -11 + (43 - 27 - (-1 - 1) - 14)?
-7
What is the value of (-8 - (-38 - (-23 - 1))) + -5?
1
-24 + 16 - (-3 + -1 + -64 + 59)
1
Calculate (133 - (-4 - -5)) + 288 + -328.
92
Calculate -29 + -53 + 37 - -110.
65
Evaluate -18 - ((-111 - -31) + -25 - (-4 - 15)).
68
Calculate -7 - ((29 - 36) + 1 + (5 - (1 - -108))).
103
-203 + 46 - -69 - -23
-65
-92 + (40 - 6 - 19) + 7
-70
What is 28 - (154 - (53 - 25)) - -4?
-94
Evaluate 1 - (104 + -32 + -50).
-21
Evaluate -22 - -35 - (0 - (2 - (-9 - -35))).
-11
What is the value of (-13 + 3 + 13 + 11 - 2) + 20?
32
187 - 143 - (10 + -3)
37
Evaluate -20 - (4 - 40 - -38).
-22
-66 - (-135 + (-12 - -17))
64
Evaluate (-22 - (-98 - -127)) + -20.
-71
What is the value of -26 + (0 - (-3 + -73))?
50
Calculate ((-42 - -40) + -2 + -3 - (-11 + -1)) + -7.
-2
Calculate 69 + (-76 - -9) + -1 + 35.
36
-66 + (-216 - -124) + 190
32
-21 - ((15 - (30 + -17)) + 13)
-36
What is the value of (37 - (1 + (1 - 3))) + (24 - (-49 - -79))?
32
What is the value of -68 - (49 + (-41 - 25))?
-51
(-66 - (-46 - -140)) + 296
136
What is the value of (-43 - -82) + -50 - ((0 - 5) + (35 - 1))?
-40
-6 + (10 - (10 - 18)) - (3 + -57)
66
Calculate 81 - 31 - (17 + (-1 - 5)).
39
-1 + 5 + 8 + -2 - (85 + -26)
-49
What is -36 - ((48 - 84) + 5)?
-5
Evaluate 40 + (-99 - -45) + 4.
-10
What is the value of 84 - ((53 - 14) + -4)?
49
Calculate (-291 - -194) + 80 - (1 + 1 + -68).
49
Evaluate -60 - -1 - (-11270 - -11205).
6
-5 + 2 - 3 - (-966 + 956)
4
Evaluate -75 + 3 + 5 + 0 - (3 + 1 + -12).
-59
What is (5 - (-27 - 4)) + -4 + (-9 - 3) + 9?
29
What is 12 + (-1 + -4 - -1) + -275 + 264?
-3
Calculate 4 - 3 - -13 - (15 - (-28 + 53)).
24
What is the value of -1 + -5 - (72 + -114 - (0 - 46))?
-10
What is (-40 - (-169 - -15)) + -14?
100
Calculate -4296 + 4351 - (-24 - 3).
82
Evaluate (2 - 8 - (2 - 1)) + -52.
-59
What is the value of (-100 - (-27 + -40)) + (-2 - 27)?
-62
What is 1779 + -1649 + -176 + -1?
-47
Calculate -17 + 1 + (-10 - 1 - (5294 - 5301)).
-20
53 + (-20 + 1 - (0 - (-5 + 17)))
46
Evaluate (1 - (2 + -2) - 13 - (-2572 + 2561)) + -54.
-55
Calculate 12 - 5 - -14 - (10 - -37).
-26
What is (587 - 584) + (2 - (-4 - (4 + -6)))?
7
Evaluate -1 + -9 - ((-78 - 7) + 62).
13
27 + 2 + 3 + -5 + (23 - (34 - 14))
30
What is the value of (-57 - (-56 - -3) - (22 + 0)) + 15?
-11
Calculate 87 + -96 + (29 - 52).
-32
What is the value of 72 - -2 - (83 + -257 + 150)?
98
Calculate -7 - ((-22 - -29) + -80) - (-12 + (-2 - 0)).
80
Calculate 143 - 99 - (23 + 10).
11
What is 9 + (0 + -34 - (-11 + 23 + 3))?
-40
What is the value of -4 + (-21 - 4 - -3 - 14)?
-40
What is 1 - 10 - (5 + 1 + 12 + 0 + -44)?
17
Calculate 3 + (13 - 3) - (7 + -2) - (28 + 3).
-23
Evaluate -6638 + 6804 + 1 + -99.
68
What is the value of -40 + -11 + -23 + 202 - 30?
98
What is -3 + (4 - 2) + (-96 - 71 - -108)?
-60
Evaluate (-15 - (-11 - -7)) + (-9 - 4).
-24
18 + 3 - (14 + -1 + 48)
-40
-3 + (-9 - -10) + -14 - -10 - (-2 - -2)
-6
-59 + 32 + (56 - 54)
-25
What is the value of 8 - (63 - (5 - 8)) - (22 + -14)?
-66
What is -15 - (-4 + (-14 - -4) + -1) - (-50 + -1)?
51
Evaluate (14 - 68) + -43 - -80.
-17
-58 + -2 + (7 - (3 + -2 + 1)) + -6
-61
What is 39 + -55 + 24 - (-29 + -1)?
38
Evaluate (1 - -14) + -103 + -10 + 18 + -4.
-84
-16 + -27 + -12 - ((-10 - -27) + -21)
-51
Calculate 6 + 15 + -8 + -34 + 3 + -1.
-19
Evaluate 56 + 2 + (326 - 367).
17
What is 45 - (-16 + (-5 - (-1 - 3) - (-43 + 27)))?
46
Calculate 71 - (37 + -12 - -4).
42
Calculate -6 - (36 - 1) - (8 - 11 - -16).
-54
What is the value of 14 - 66 - (-206 - -158)?
-4
(35 - 58 - -55) + -29
3
What is (-1 - 9) + 16339 + -16293?
36
Evaluate -17 + (-5 - -41) - -5.
24
Evaluate 0 - 2 - 0 - (-40 + -14 + 49 - -74).
-71
Evaluate -32 + (-30 - -71) + -60.
-51
(26 - 0) + -26 + 0 + 58 + -26
32
What is the value of -44 - (3 + -1 + (24 - 36))?
-34
(-5 - -3) + (-4 - (-11 + 23)) + 6 + 51
39
Evaluate -47 + (41 - 1) + -4 - (0 + 1 - -38).
-50
-14 - 67 - -27 - (1 - 14)
-41
What is 3 - -9 - (-538 + 525 + -1 + 21)?
5
Calculate -13 - (-1 - (-6 + (-1 - (-6 + 16)))).
-29
Calculate -6710 + 6596 + (35 - 3).
-82
Calculate -2 + 4 + 2 + (-9 - -3) + 6 - 53.
-49
What is 1291 + -1301 - (-3 - -2 - 4 - 2)?
-3
Calculate -16 + (-41 + 17 - (-17 + (-10 - -8))).
-21
What is the value of (-4 - -1) + -52 + -16 + 4 + 30?
-37
What is the value of 63 - ((-5 - 24) + 13) - (2 + 5)?
72
(3 - (-2 - 52)) + (39 - (16 + 6 + 15))
59
(41 - 36) + 1 + -3 + -15 + 115 + -164
-61
Calculate 36 + -156 + (32 + -26 - -11).
-103
Calculate 4 + -30 + 7 + -9 + 9.
-19
What is the value of 53 + -116 - -1 - -43?
-19
What is (-3 + 1 - 12) + 354 + -310 + -58?
-28
What is -59 + -3 + 2031 + -1900?
69
What is -55 + 38 - (-2 - 2 - (3 + 1 + 1))?
-8
What is 5 + -28 + 172 + -154 - (0 - -25)?
-30
Evaluate (44 - 100) + 32 - 14.
-38
Evaluate (4 - 15) + 7 + (20 - 42 - -9).
-17
What is -60 + -4 - -3 - (-7 - (13 + -7 + -12))?
-60
What is the value of (4 + 4 - 16 - -9) + 1?
2
Calculate -53 + ((6 - 1) + 4 - 5).
-49
What is the value of 10 - ((8 + -18 - 10) + -11)?
41
Evaluate (-66 + -74 - -170) + -85 + -3.
-58
Calculate 8 - (-5 - -2 - (1 - -8 - -42)).
62
What is the value of 69 - (-37 + 39 + 30 - 12)?
49
Evaluate 10 + -4 + (-6 - (-1 + -4)) + -41.
-36
Calculate 5453 + -5453 + 0 + -8 + 1 + 0.
-7
-71 + -4 - (-175 - -105)
-5
Evaluate 25 - (39 - (-6 + (-7 - 10))).
-37
-7 + (0 + 92 - (31 + 1 + 22 + -44))
75
Evaluate 123 + (-329 - -94) - 15.
-127
Evaluate (115 - 73) + -188 - -95.
-51
Evaluate (340 + -315 - (11 + 0)) + (29 - -28).
71
What is the value of (1 - -17) + 136 + -147?
7
What is -3 + (43 - 43) + -22?
-25
Calculate (-29 - -13) + 6 + 8 + 5.
3
What is (-6 - -3) + 49 + (22 - (9 + 3 - -4))?
52
What is the value of -7 - ((-6 - -23) + -25 + -48)?
49
Calculate 1 + -4 + (5 - 9) - (2 + 0) - -47.
38
What is 52 + (-30 - 53) + 21?
-10
(490 - 456) + 10 + 8 + -9
43
What is the value of 1 + 5 - (-71 - -50 - (-22 + 6))?
11
Calculate 13 - (3 + 6 + 15) - -5.
-6
What is 82 + (79 - (-36 - -119))?
78
What is the value of (-46 - -22) + 25 + 3 + (-7 - -1) + 66?
64
What is the value of 510 + -516 - (23 + 3)?
-32
Evaluate (1 - (-30 + 7 + -2)) + 21.
47
What is the value of -16 + -5 + (-14 + 10 + -4 - -7 - -9)?
-13
Calculate -5 + -8 + 281 + -248.
20
What is 115 + (-91 - (-109 - -69))?
64
What is the value of -9 + (-75 - (-57 - 31) - (4 - 0))?
0
Evaluate (-4 - 3 - ((0 - 4) + -2)) + (33 - 28).
4
Evaluate (-30 - -118) + (-4 + 0 - (148 + -136)).
72
Calculate 135 - 71 - 55 - (85 + 0) - 1.
-77
-25 + 95 + -25 + -83
-38
Calculate 18 + (-80 + 134 - 84) + (-17 - -1).
-28
Evaluate 46 - (23 + 15 + -45 + 40).
13
Evaluate (1 - 31 - ((-5 - 2) + 9)) + (1 - 2).
-33
What is (32 - (-30 + 98)) + -35 - 14?
-85
-1 - (7 - 7 - -8) - (4 + -2)
-11
Evaluate 4 + -1 + 2 - (73 + -38 - 48).
18
What is the value of -51 - (25 - 51) - ((-15 - -11) + -8)?
-13
Evaluate (-8 - 4) + -4 - (0 - 4 - -3).
-15
Evaluate 7 - (40 - 20) - (-33 + 122).
-102
Calculate 91 - ((-4 + 32 - 42) + 23).
82
Evaluate -1 - (8 - (-2 - (-5 - 25))).
19
What is 450 + -467 + (-1 - 55) + -11?
-84
What is the value of -19 + (-143 - 43) + 30 - (4 + -27)?
-152
What is the value of 14 + -13 + -1 + -35 + 119 + -122?
-38
What is 68 + -1 + 876 + -896?
47
Calculate -5 + (14 - 66) - (-2 + 7 + -3 + -3).
-56
Calculate -17 + 1 - (107 + -77 + -43).
-3
Evaluate 143 - (59 + 148 + -99).
35
What is (-99 - (-33 + -2)) + (-41 - -18)?
-87
What is the value of 21 - (9 + 27) - (-13 + -3)?
1
Calculate 48 + 6 + 5 + -2 + -7 + 2 - -4.
56
What is the value of 13 + -1 + 13 + (-70 - -58) - 48?
-35
-9 + 69 + 13 + (-36 - (-19 - -6))
50
Evaluate (-47 - 9) + (-295 - -326).
-25
Evaluate -8 + -12 + 17 + 8 + -10 + 1.
-4
-6 - -17 - (37 - (-25 - -4))
-47
(274 - 88 - 112) + 9
83
2 + -139 + -5 + -62 + 7 + 80
-117
7 + 3 + 0 + (101 + -53 - | {
"pile_set_name": "DM Mathematics"
} |
sest to -2/3? (a) 1 (b) -2 (c) u
c
Let f be -2 - (1134/(-297) - (-2)/(-11)). What is the closest to f in -0.3, -2, 2/9, 0.09?
2/9
Let y = -0.07 - -3.07. Let d = -1.48 - -57.48. Let h = d - 56. Which is the nearest to h? (a) y (b) 0.3 (c) 1/23
c
Let y = 0.05 - -0.05. Suppose 16*o + 2 = -78. What is the closest to y in o, 1/3, -2/23?
-2/23
Let k be (-26)/(-65)*2/(-4). What is the closest to 1 in -4, 4, 69, k?
k
Let g = -86.5925 - 0.0075. Let k = 87 + g. Which is the closest to -0.7? (a) -3/8 (b) -0.2 (c) k
a
Let o = 2.15 - 7.15. Let m = 8 + -14. Which is the closest to m? (a) -0.5 (b) -1 (c) o
c
Let g = -24 - -21. Let d = 59 + -60. Which is the nearest to 4/7? (a) g (b) d (c) -0.4
c
Let x = -38.5 - -39. Let g = 9 - 8. Let q = -0.55 + 0.15. What is the closest to g in x, q, 4?
x
Let q = 0.548 + -0.248. Which is the closest to -1? (a) -0.1 (b) q (c) -0.3 (d) -3
c
Let d = -19 - -32. Let o = -8 + d. Suppose 19 = 3*u + 5*f, -o*f = 2*u - 0*f - 16. What is the closest to -4 in u, 0.4, -2?
-2
Let p(d) = -d**3 - 6*d**2 - 3*d - 13. Let z be p(-6). What is the closest to 0.05 in -0.3, z, -4?
-0.3
Suppose -2*g = x - 23, 3*g + 4*x = -15 + 62. Let t = 33.6 - 33.3. Let y = 0.9 + -1. What is the nearest to g in t, y, -1?
t
Let w = 679.93 + -680. What is the closest to 0 in 0.2, 0, w?
0
Let s be (1/1)/((-2)/(-6)). Let r = -15.6 + 28. Let h = 12 - r. Which is the nearest to -1? (a) 2/3 (b) s (c) h
c
Let q = 1.1 - 1.6. Let r = 30227/110 - 2537/10. Let l = r - 21. What is the nearest to 2 in q, -0.2, l?
l
Let a = 1983 + -1983. What is the nearest to -2/5 in a, 0.5, 7?
a
Let b = 16 - 37. Let u = -37 - b. Let i = u + 18. What is the closest to 0 in i, 1/6, 3/4?
1/6
Let z = 0.512 + -0.622. Which is the nearest to -0.1? (a) -3 (b) -4 (c) -0.06 (d) z
d
Suppose -w + 5*l = -2 + 20, -w - 5*l = -22. Let v = 31/90 - -1/18. Which is the closest to -2/5? (a) w (b) v (c) -2/9
c
Let c = -1023/7 - -1024/7. Let d = 12 - 17. What is the closest to d in -0.4, c, 2/7?
-0.4
Let t be (-4)/2 - ((-268)/(-120) - 3). Let r = t + 7/5. Which is the closest to 0.2? (a) 0.5 (b) 0.2 (c) r
b
Let l = 2/7 + -1/28. Let z = -9776/9 + 1086. Which is the nearest to l? (a) -0.3 (b) -5 (c) z
c
Let n = 1567 + -1566.9. What is the nearest to 3 in n, -0.9, -0.4, -1?
n
Let z = -0.1291 - -0.2291. What is the closest to z in 0.5, 4, 4/5?
0.5
Let t = 1.3 + -1.8. Let u = -8 + 7.9. Which is the closest to u? (a) -4 (b) t (c) -3
b
Let b = -173 + 159.88. Let h = 0.12 + b. Let k = h - -11. What is the nearest to 0 in 0, k, -4?
0
Let i = -43 + 48. Which is the nearest to 1/4? (a) -5 (b) i (c) 61
b
Let f = 1.19 - 2.19. Let w = -5.0238 - -0.0338. Let v = w + -0.01. Which is the closest to 1? (a) 1 (b) f (c) v
a
Let o = 0.051 - 0.251. Let m = 0.3 - 1.3. Let k = -1.1 + 0.1. What is the closest to m in o, k, -4?
k
Let j = 10.69 + -0.09. Let d = 25 + -14. Let r = d - j. What is the nearest to -1 in 0, r, -5?
0
Let d = 30.9 - 50.9. What is the nearest to 0 in 5, 1, -2, d?
1
Let n = -773 + 5414/7. What is the nearest to -2 in 3, -2/11, 5, n?
-2/11
Let r = -0.25 + 0.51. Let u = r - 0.16. Which is the closest to u? (a) -0.3 (b) 3/4 (c) -1
a
Let l = 0.3 + -0.6. Let s = l + 0.3. Let m(z) = -4*z + 56. Let h be m(13). What is the closest to s in 0.1, -3, h?
0.1
Let h = 1851 + -1852. Which is the closest to h? (a) -0.9 (b) 1 (c) 2 (d) 3
a
Let v = 4.6 + -5. Let w = 0 - v. Let j(o) = -8*o**3 - 295*o**2 + 40*o + 106. Let i be j(-37). What is the closest to 1/3 in w, i, -3?
w
Let a = 0.6 + -2.6. Let n = -0.6 - 2.4. Suppose 6*z = 277 - 265. What is the nearest to -5 in n, z, a?
n
Let q be (8/(-6))/(2/(-1)). Let f = -0.2 - 2.8. Let v = -93/55 - -23/11. What is the closest to f in v, 0.3, q?
0.3
Suppose n + 4 = 5*f, 2*f + 24 = 3*n + 5*f. What is the closest to -0.2 in -2, -0.5, n?
-0.5
Let l = 81.7 - 81.6. Let x be (-1)/2*1/(-2). What is the closest to l in 3/7, -2, x?
x
Let x = -211.7 + 212. Which is the closest to x? (a) -2 (b) -1 (c) 5
b
Let v = 3 + -3. Let f = 56 + -56.1. What is the closest to 0.7 in v, f, -3?
v
Let g(q) = q**3 + q**2 - 5*q - 5. Let h be g(-2). Let o = 0.028 + -2.928. Let l = 3 + o. Which is the nearest to 2/3? (a) h (b) l (c) 4
a
Let j = 498.9 - 499. What is the nearest to j in 2, -0.4, -0.5, 0?
0
Let c = 113 - 118. What is the closest to 0 in 12, -2, c, 1?
1
Let q = -2348/17 - -138. What is the nearest to 2/5 in -2, 0.03, q?
0.03
Let r = 0.39 - 0.15. Let j = r + -0.64. What is the closest to -1 in 0, 0.3, j?
j
Let v = 0 - -4. Let k = -1 - v. Let i = 0.5002 + -0.5002. Which is the closest to -0.1? (a) k (b) -4/7 (c) i
c
Let u(q) = 0*q**3 - 4 - 10*q**3 + 9*q**3 - q + 5*q**2. Let i be u(5). Which is the closest to 1/2? (a) i (b) -1 (c) -4
b
Suppose 34*s + 4*g = 31*s + 542, 0 = 5*s - 2*g - 912. Which is the closest to 1? (a) -0.4 (b) 0 (c) s
b
Let f be (3/14)/((-6)/(-8)). Let o = -3.538 + 2.538. Which is the nearest to 7? (a) o (b) f (c) -0.5
b
Let j(z) = z**2 - 4*z + 3. Let s be j(3). Let v be (-45)/2*(-7)/35. Let m = v - 5. Which is the nearest to s? (a) 2/21 (b) m (c) 1
a
Let x be -4 - 6/((-12)/7). Let k = 23 + -28. What is the closest to -2 in 4, k, x?
x
Let f = -0.76 + -0.94. What is the nearest to 0.1 in -2, -3/2, 2/11, f?
2/11
Let j = 1 + -1. Let h = -0.1 + j. Suppose -q = -3*d - 15, 5*d - 13 = -4*q - 38. What is the nearest to -2/7 in h, -1, q?
h
Let q = 172.1 - 170.1. Which is the closest to 2? (a) -4 (b) q (c) 16 (d) -3/4
b
Let m = 822 - 820. Which is the nearest to -2/3? (a) -2 (b) m (c) 2/13 (d) -5
c
Let y = -0.93 - 3.07. Which is the closest to 0? (a) -0.03 (b) 5 (c) y
a
Let u = -173.5 - -173. Let z = -0.07 - 0.23. Let l = -0.2 - -0.1. Which is the closest to l? (a) z (b) u (c) -4
a
Let m = 2.51 - 2.53. Which is the closest to 1? (a) 1 (b) -1/6 (c) m
a
Let b = -4.4 + 2.4. Let x(h) = -2*h + 3. Let l be x(3). Let p = 0.9 - 1. What is the closest to p in l, b, -5?
b
Let s = -1131 - -1128. Which is the nearest to 0.2? (a) s (b) 1/3 (c) 34 (d) -2
b
Let k be (-2)/(-3) + 10/(-6). Let h = 9 + -35. Let y = h - -26.2. What is the nearest to k in -5, 2/13, y?
2/13
Let n be (-12)/(-54)*(-42)/(-28). Which is the closest to 2/7? (a) n (b) 3/2 (c) 0.1 (d) 4
a
Let y(g) = -11*g + 21. Let z be y(6). Let d be (-3)/(z/(-2) + -3). Which is the closest to 0.1? (a) d (b) -3/4 (c) 4
a
Let g = -33/476 - 5/68. Which is the nearest to 2/11? (a) g (b) -4 (c) -2/11 (d) 0.05
d
Let u = 0.3 - 0.4. Let v = -1/11 - 6/55. Which is the closest to u? (a) v (b) -2 (c) -1/3
a
Let h = 51 - 50.85. Let p = 0.05 + h. Let a = 0.34 + -0.04. What is the closest to -2 in 3, a, p?
p
Let n = -14/23 - -136/299. Let y = 8 + -2. Suppose 2*g - k + 1 = 0, -y*g - 4 = -3*g - 4*k. Which is the nearest to 1? (a) n (b) -4 (c) g
c
Let i = 2/209 - 223/1463. Suppose 0 = -z + 5*z - t + 96, -4*t - 99 = 5*z. What is the closest to -1/4 in z, i, 2?
i
Let r = 60 + -67. Let b = -6.6 - r. Let m be ((-1)/(-2))/((-7)/(-6)). What is the nearest to -1/4 in -2/9, m, b?
-2/9
Suppose 5*v + 301 = -99. Let m = v - -238/3. Let z = 1361 - 1357. Which is the closest to m? (a) -2/11 (b) z (c) -0.1
a
Let n = 401 + -401.1. What is the closest to n in 1/45, 1/2, -2?
1/45
Let r = -561 - -565. What is the closest to 0.1 in r, -4, 1/3, 12?
1/3
Suppose 4*k = 4*y, 0 = -y - 3*k - 0 + 4. Which is the closest to y? (a) -5 (b) -0.07 (c) -2/3
b
Let k = 537/11 - 49. Let d = 210 - 210. Which is the nearest to 0.2? (a) k (b) d (c) -0.2
b
Let z = 57.5 - 45. Let h = z - 11. Let t = 3.5 - h. Which is the closest to 0.1? (a) t (b) 1 (c) -0.1
c
Let t = 0.1 + -0.1. Let j(p) = -2*p**3 - 60*p**2 - 251*p - 34. Let f be j(-25). What is the closest to 0.2 in 1, f, t?
t
Let f(h) = -7*h**2 - 4. Let x be f(0). Which is the closest to -0.1? (a) 3/7 (b) x (c) 8 (d) 6
a
Let x = -28.1 - -28. Let n = 23/36 + -5/36. What is the closest to x in n, 1, -0.8?
n
Let o = 0 + 0.08. Let k = o + -0.07. Let r = 0.41 - k. Which is the closest to -1/3? (a) 5 (b) r (c) 1/5
c
Let z = 18.73 + -19.23. Let d = 3 + -3.2. Let y = d + 0.3. Which is the closest to y? (a) -1 (b) -1/4 (c) z
b
Let y = 482 - 480.6. Which is the nearest to 19? (a) -3 (b) 1/3 (c) -0.4 (d) y
d
Let t = 1696 - 1694. What is the | {
"pile_set_name": "DM Mathematics"
} |
36*f - 73*f.
-3*f
Collect the terms in 3*v**3 + 39*v**2 + 0*v - 10*v - 39*v**2.
3*v**3 - 10*v
Collect the terms in -4*v**3 - 5*v**3 - 4*v**3 + 11*v**3.
-2*v**3
Collect the terms in 15 - 6 + 3*y**3 + 40*y**2 - 9.
3*y**3 + 40*y**2
Collect the terms in -10*h - 23*h + 34*h.
h
Collect the terms in -27 + 0*g + 27 - 7*g.
-7*g
Collect the terms in 2*f + 4*f + 7*f.
13*f
Collect the terms in 0*s**2 + 14*s**2 - 25*s**2.
-11*s**2
Collect the terms in 7*i - 7*i + 6*i.
6*i
Collect the terms in 0 + 2 + 22*f - 1 - 11*f.
11*f + 1
Collect the terms in 2*s - s - 3*s**2 - s.
-3*s**2
Collect the terms in -4*s**2 - 85*s**3 + 4*s**2 + 87*s**3.
2*s**3
Collect the terms in -15*p + 28*p + 3 + 2 - 16*p.
-3*p + 5
Collect the terms in -2024*u**3 - 1146*u**3 + 615*u**3.
-2555*u**3
Collect the terms in 0 + 0*o + 10 + 6*o - 10.
6*o
Collect the terms in 18*t**2 - 5*t + 4*t + t.
18*t**2
Collect the terms in -87 + 8*s + 169 - 82.
8*s
Collect the terms in -18*t**2 + 5*t - t - 3*t.
-18*t**2 + t
Collect the terms in 2279*k**3 + 12 - 12.
2279*k**3
Collect the terms in -4*f + 8 + 9 - 17.
-4*f
Collect the terms in -5*n**3 + 30*n**3 - 12*n**3 - 9*n**3.
4*n**3
Collect the terms in 125*f - f**2 - 125*f.
-f**2
Collect the terms in -24*z**3 + 3*z**3 + 9*z**3 + 9*z**3.
-3*z**3
Collect the terms in q + 0 + q + 3 - 3.
2*q
Collect the terms in -11*q**3 + 31*q**3 - 8*q**3 - 11*q**3.
q**3
Collect the terms in v + 4*v - 7*v + 2*v + v.
v
Collect the terms in -878*c**3 - 876*c**3 + 1757*c**3 + 4*c - 4*c.
3*c**3
Collect the terms in 247*t**3 - 433*t**3 - 350*t**3.
-536*t**3
Collect the terms in -120*s**2 + 2*s + 108*s**2 - 2*s.
-12*s**2
Collect the terms in -3240 - 9*p**2 + 3240.
-9*p**2
Collect the terms in 3*a**3 + 3*a**3 + 0*a**2 + 0*a**2.
6*a**3
Collect the terms in 16*j - 13*j - 6*j.
-3*j
Collect the terms in -17*y**2 + 3*y**2 + y**3 - 4*y**3 + 14*y**2.
-3*y**3
Collect the terms in -15*j + 4 - 4 - 9*j.
-24*j
Collect the terms in -15*m**2 - 22*m**2 - m**2.
-38*m**2
Collect the terms in -66 + 46 + 3*p**2 + 47.
3*p**2 + 27
Collect the terms in -3665*b + 7339*b - 3672*b.
2*b
Collect the terms in 100*w + 77*w - 180*w.
-3*w
Collect the terms in 7*h**3 - h**3 - 7*h**3 + 16*h**3.
15*h**3
Collect the terms in -j - j + 23*j**2 + 2*j.
23*j**2
Collect the terms in -911*d**2 + 459*d**2 + 451*d**2.
-d**2
Collect the terms in -2 + 90*o**2 - 177*o**2 + 2 + 90*o**2.
3*o**2
Collect the terms in 161*g**3 - g + g - 175*g**3.
-14*g**3
Collect the terms in 155 + w**3 - 19*w**3 - 155.
-18*w**3
Collect the terms in 1 - 3*k - 64*k**2 + 4*k - k.
-64*k**2 + 1
Collect the terms in -t + 0*t - 6*t + 12*t - 10*t.
-5*t
Collect the terms in 125*q**3 - 3*q**3 - 12*q**3 + 57*q**3.
167*q**3
Collect the terms in -54*r - 272 + 272 + 12*r.
-42*r
Collect the terms in 548 - 548 + 8*k**2.
8*k**2
Collect the terms in -67*c**3 - 52*c**3 + 117*c**3.
-2*c**3
Collect the terms in 30*f - 677 + 677.
30*f
Collect the terms in 56*b**2 - 53*b**3 + 37*b**3 - 56*b**2.
-16*b**3
Collect the terms in 49*u**3 + u**2 - u**2.
49*u**3
Collect the terms in -3*q**2 + q**3 - 5 + 3*q**2.
q**3 - 5
Collect the terms in 13*f**3 - 24*f**3 + 0*f**3.
-11*f**3
Collect the terms in 2*x**3 + 9*x**3 - 4*x**3 + 2*x.
7*x**3 + 2*x
Collect the terms in -30*o**2 + 27*o**2 + 66*o - 137*o + 71*o.
-3*o**2
Collect the terms in 0 + 0 + 58*n - 165*n.
-107*n
Collect the terms in -255*o + 1 + 1216*o + 0.
961*o + 1
Collect the terms in -16 - 27 + 0*m + 0*m + m.
m - 43
Collect the terms in -4*f + 909*f**2 - f + 5*f.
909*f**2
Collect the terms in -9*d - 20*d**3 + 16*d**3 - 11*d.
-4*d**3 - 20*d
Collect the terms in 1 + 7*u**2 - 5 + 3*u**2 - 2*u**2.
8*u**2 - 4
Collect the terms in v**2 + 0 + 5*v - 4*v**2 + 0.
-3*v**2 + 5*v
Collect the terms in -42 + 80*w + 75*w - 153*w.
2*w - 42
Collect the terms in 0*n + 4*n - 3*n + 7*n.
8*n
Collect the terms in 2*c - 11*c**2 + 2*c**2 - 2*c.
-9*c**2
Collect the terms in -4*l**3 - 2*l**3 - 18*l**3.
-24*l**3
Collect the terms in -1 + 1 + 564*a**2 - 543*a**2.
21*a**2
Collect the terms in -4*r**2 - 14*r**2 - 5*r**3 + 0*r**2.
-5*r**3 - 18*r**2
Collect the terms in 16 + 4*j - 35 + 9.
4*j - 10
Collect the terms in a - a + 10*a + a - 13*a.
-2*a
Collect the terms in 15*n - 31 + 31.
15*n
Collect the terms in 174*c - 121*c - 40*c.
13*c
Collect the terms in 27307*l + 5 - 5 - 27309*l.
-2*l
Collect the terms in -408 - 49*j - 2*j**3 + 49*j + 408.
-2*j**3
Collect the terms in -6244 + 6244 - 15*c.
-15*c
Collect the terms in 21*j**2 - 10*j**2 - 3*j**2.
8*j**2
Collect the terms in -2*b**2 - 9*b**2 + 13*b**2.
2*b**2
Collect the terms in 4*p + 2*p + p - p - 14*p.
-8*p
Collect the terms in 0 - 5*x - 1 + 0 + 3.
-5*x + 2
Collect the terms in -33*t + 11*t + 13*t**3 + 12*t + 10*t.
13*t**3
Collect the terms in -2173*p + 1088*p + 1086*p.
p
Collect the terms in 13010*x**2 + x**3 - 13010*x**2.
x**3
Collect the terms in 13*t + 2 - 3 + 1.
13*t
Collect the terms in 3*u + 2 - 2 + 0.
3*u
Collect the terms in -519*r + 4 + 521*r - 4.
2*r
Collect the terms in 10*h**3 - 4*h**3 + 4*h**3 - 2*h**3.
8*h**3
Collect the terms in 1570*r**3 - 3119*r**3 + 1571*r**3.
22*r**3
Collect the terms in -2*m - 26*m**3 + 2*m.
-26*m**3
Collect the terms in -9*u - 4*u + 2*u.
-11*u
Collect the terms in 11*h**2 + 10*h + 3*h**2 - 12*h + 2*h.
14*h**2
Collect the terms in 0*u**2 - u**2 + 4*u**2.
3*u**2
Collect the terms in 0*x**3 + 1145*x - 1145*x - 8*x**3.
-8*x**3
Collect the terms in -207*v**2 - 569*v**2 - 146*v**2.
-922*v**2
Collect the terms in 2*v + 2*v**2 - 2*v - 7*v**2 + 2*v**2.
-3*v**2
Collect the terms in 5*o - 5*o + 6*o + 9*o.
15*o
Collect the terms in a**3 + 70 - 70.
a**3
Collect the terms in 25 - 25 + 4*k**2 - 6*k**2.
-2*k**2
Collect the terms in 238 - w**2 - 475 + 237.
-w**2
Collect the terms in -52*n**2 + 30*n**2 + 23*n**2.
n**2
Collect the terms in 17*r**2 + 11*r**2 + 51*r**2 + 11*r**2.
90*r**2
Collect the terms in -w - 2*w + 8*w.
5*w
Collect the terms in -2537*t**2 + 1266*t**2 + 1267*t**2.
-4*t**2
Collect the terms in -26 - 20 + 46 + 24*v.
24*v
Collect the terms in 2 + 0 + 0 - 249*r.
-249*r + 2
Collect the terms in -a**2 - 2*a + 4*a**2 - 2*a + a.
3*a**2 - 3*a
Collect the terms in 5*q + 49 + 62 - 159 + 48.
5*q
Collect the terms in -d + 16 - 13 + 0*d.
-d + 3
Collect the terms in -4598 - 3*p**2 + 4598.
-3*p**2
Collect the terms in -512 + 1521 - 502 - 11*h**3 - 506.
-11*h**3 + 1
Collect the terms in 207 - 5*a - 207 + 0*a.
-5*a
Collect the terms in v**3 - v**3 - v**3 - 2*v**3.
-3*v**3
Collect the terms in 101 - 101 - 3*p**3.
-3*p**3
Collect the terms in -4*b**3 + b**3 - 4*b**3 + 4*b**3 + 11*b**2.
-3*b**3 + 11*b**2
Collect the terms in -4*j**2 - 8*j**2 + 11*j**2.
-j**2
Collect the terms in -620*p**3 - 596*p**3 + 1215*p**3.
-p**3
Collect the terms in 3*f + f + f + 0*f.
5*f
Collect the terms in m**2 + 34*m - 34*m.
m**2
Collect the terms in -16*o + o + 16*o + 0*o.
o
Collect the terms in 1784*x - 1784*x + 123*x**3.
123*x**3
Collect the terms in y**2 - y**2 + 2*y**2 - 3*y**2 - 2*y**2.
-3*y**2
Collect the terms in 2 + 11*z**3 + 10*z**3 - 2.
21*z**3
Collect the terms in -29*k + 10*k + 13*k + 8*k.
2*k
Collect the terms in 0 - 34 + 7 - 2*u.
-2*u - 27
Collect the terms in 7 - 9 - 7*s + 2.
-7*s
Collect the terms in -58*n**2 + 85*n**2 - 34*n**2.
-7*n**2
Collect the terms in -30*z - 20*z + 46*z.
-4*z
Collect the terms in 32*o - 2*o + 10*o - o**2.
-o**2 + 40*o
Collect the terms in 6*m**2 + 16*m - 16*m.
6*m**2
Collect the terms in -45*j**2 + 19*j**2 - 14*j**2.
-40*j**2
Collect the terms in -10*c + 6*c + 7*c.
3*c
Collect the terms in 468*l + 463*l - 931*l - 2*l**2.
-2*l**2
Collect the terms in -3*g**3 + 8*g**3 + g**3 + 8*g**3.
14*g**3
Collect the terms in 0*y**2 - 5*y**2 + 10*y**2.
5*y**2
Collect the terms in 2*s**3 - 8*s + s**3 + 3*s**3 - 2*s**3.
4*s**3 - 8*s
Collect the terms in 23*h**2 + 3*h**3 + h + 5*h - 6*h.
3*h**3 + 23*h**2
Collect the terms in -1 - 4*m**3 + 5*m**3 - 5*m**3 - 3.
-4*m**3 - 4
Collect the terms in 4*y**2 + 2*y**2 - 4*y**2.
2*y**2
Collect the terms in 316*z**2 - 164*z**2 + 164*z**2.
316*z**2
Collect the terms in 17*w**3 - 11*w**3 + 25*w**3 - 2*w**3.
29*w**3
Collect the terms in 3*w - 112*w**2 - 9*w**2 - 3*w.
-121*w**2
Collect the terms in -106 + 3*h - 108 + 214 - h.
2*h
Collect the terms in 51*s**2 + 294*s**2 + 312*s**2 - 76*s**2.
581*s**2
Collect the terms in -80*w - 80*w + 221*w - 91*w.
-30*w
| {
"pile_set_name": "DM Mathematics"
} |
r letters picked without replacement from qqiqqiq. Give prob of sequence iqqi.
1/21
What is prob of sequence llm when three letters picked without replacement from {z: 2, b: 9, m: 1, l: 4}?
1/280
What is prob of sequence fhy when three letters picked without replacement from {y: 2, n: 1, h: 7, f: 3, v: 1}?
1/52
Two letters picked without replacement from bblbbllbbaablbllla. What is prob of sequence al?
7/102
Calculate prob of sequence ii when two letters picked without replacement from {k: 1, i: 5, e: 1, y: 4, t: 3, j: 1}.
2/21
Three letters picked without replacement from fhhfhfhffffxhhffffh. Give prob of sequence fxf.
55/2907
Four letters picked without replacement from {p: 5, l: 7, c: 1}. What is prob of sequence pclp?
7/858
Two letters picked without replacement from {h: 7, v: 4, u: 7}. What is prob of sequence hu?
49/306
What is prob of sequence hmk when three letters picked without replacement from {h: 1, o: 1, k: 1, m: 1, e: 1}?
1/60
Two letters picked without replacement from {t: 1, w: 4, d: 1, h: 1, v: 4}. Give prob of sequence ht.
1/110
Three letters picked without replacement from dddyddxdyydyyxd. Give prob of sequence ydd.
4/39
Calculate prob of sequence kccy when four letters picked without replacement from {y: 2, c: 2, t: 1, k: 1, w: 1, m: 1}.
1/420
Calculate prob of sequence sffo when four letters picked without replacement from {n: 11, o: 1, s: 2, f: 2}.
1/10920
What is prob of sequence dd when two letters picked without replacement from {d: 10}?
1
Four letters picked without replacement from {c: 1, r: 4, k: 3, v: 3, l: 6, p: 1}. What is prob of sequence plcl?
1/2448
Three letters picked without replacement from wwbwwhwwwbkbwhbww. What is prob of sequence bwh?
1/51
What is prob of sequence dp when two letters picked without replacement from dpjdp?
1/5
Three letters picked without replacement from {v: 1, a: 1, x: 2, i: 1, b: 2, j: 2}. What is prob of sequence jbx?
1/63
What is prob of sequence yb when two letters picked without replacement from llldyleebyebieel?
1/60
Three letters picked without replacement from {f: 2, o: 1, w: 1, e: 1}. What is prob of sequence wff?
1/30
What is prob of sequence mm when two letters picked without replacement from {m: 7, b: 1}?
3/4
Two letters picked without replacement from koz. Give prob of sequence zo.
1/6
What is prob of sequence afxx when four letters picked without replacement from {b: 1, f: 1, x: 2, a: 3, l: 5, p: 3}?
1/5460
What is prob of sequence rs when two letters picked without replacement from {r: 1, h: 3, o: 3, j: 2, s: 1}?
1/90
Calculate prob of sequence yyee when four letters picked without replacement from {y: 14, e: 5}.
455/11628
Calculate prob of sequence hbq when three letters picked without replacement from qkxqbbxhqxvxx.
1/286
Four letters picked without replacement from {o: 13, q: 6}. What is prob of sequence oqoq?
65/1292
What is prob of sequence rfr when three letters picked without replacement from vvpfprmr?
1/168
Two letters picked without replacement from iggsgggrrrrrgrgrg. Give prob of sequence ri.
7/272
Calculate prob of sequence hhr when three letters picked without replacement from {h: 2, n: 6, i: 5, d: 3, r: 1}.
1/2040
Calculate prob of sequence je when two letters picked without replacement from {e: 2, q: 3, c: 2, t: 4, j: 1}.
1/66
What is prob of sequence ov when two letters picked without replacement from cuovvoocqovvvkqqc?
5/68
What is prob of sequence qqj when three letters picked without replacement from qqoqqotqojott?
5/429
What is prob of sequence xf when two letters picked without replacement from rrererxxrrqeexrrrfq?
1/114
Two letters picked without replacement from {w: 3, c: 13, a: 1}. What is prob of sequence cc?
39/68
Two letters picked without replacement from hhmhhhhhhehhhh. What is prob of sequence ee?
0
Two letters picked without replacement from oooommoroorommmomo. Give prob of sequence rr.
1/153
Calculate prob of sequence jgh when three letters picked without replacement from {d: 1, g: 1, j: 2, h: 1}.
1/30
Three letters picked without replacement from {m: 9, w: 10}. What is prob of sequence www?
40/323
Three letters picked without replacement from {a: 1, k: 4, f: 9}. What is prob of sequence fkf?
12/91
Two letters picked without replacement from vslslss. What is prob of sequence vl?
1/21
Two letters picked without replacement from {j: 1, k: 9, t: 2, v: 4, i: 4}. Give prob of sequence vi.
4/95
Two letters picked without replacement from {t: 3, q: 2, j: 7, x: 3, z: 3}. What is prob of sequence zt?
1/34
Calculate prob of sequence by when two letters picked without replacement from {m: 2, o: 1, b: 1, q: 1, i: 1, y: 1}.
1/42
Calculate prob of sequence kk when two letters picked without replacement from xkkxkkkkxkk.
28/55
Calculate prob of sequence dtcm when four letters picked without replacement from mcmtlrdcrcmtt.
9/5720
Two letters picked without replacement from uggwuwowudg. What is prob of sequence gg?
3/55
What is prob of sequence ppx when three letters picked without replacement from xpxxpxxpxpppxpxx?
9/80
What is prob of sequence rps when three letters picked without replacement from eteppsesesreseestsp?
1/323
Two letters picked without replacement from {j: 3, z: 13, r: 1, p: 2}. Give prob of sequence pj.
1/57
Three letters picked without replacement from wwawwwwwawwawwawawww. Give prob of sequence aaw.
5/114
Calculate prob of sequence ss when two letters picked without replacement from {s: 2, y: 5}.
1/21
Four letters picked without replacement from ukukuukuuukuukouukk. What is prob of sequence okku?
77/15504
What is prob of sequence thr when three letters picked without replacement from attthhttr?
5/252
Calculate prob of sequence fmff when four letters picked without replacement from {f: 3, m: 1, q: 2, i: 1}.
1/140
What is prob of sequence nt when two letters picked without replacement from {r: 2, f: 2, d: 10, n: 3, t: 3}?
9/380
Two letters picked without replacement from {y: 1, t: 4, x: 1, z: 3, l: 2}. What is prob of sequence xy?
1/110
Three letters picked without replacement from {n: 2, p: 4, l: 1, q: 6}. What is prob of sequence npq?
4/143
Two letters picked without replacement from kjkjkkjjjkkkkkkk. What is prob of sequence kj?
11/48
Two letters picked without replacement from offoftffooffoffoffo. What is prob of sequence ot?
7/342
Calculate prob of sequence jdj when three letters picked without replacement from {b: 1, j: 3, s: 1, g: 2, d: 3}.
1/40
Three letters picked without replacement from {l: 3}. Give prob of sequence lll.
1
What is prob of sequence iaia when four letters picked without replacement from aiaiiaiaiaaaii?
21/286
Four letters picked without replacement from mmmmmommmmmmmmmmml. Give prob of sequence lolm.
0
Three letters picked without replacement from {o: 1, m: 1, k: 1, i: 2, b: 1, z: 1}. What is prob of sequence zmz?
0
Two letters picked without replacement from {n: 3, e: 2, m: 7}. What is prob of sequence me?
7/66
Calculate prob of sequence pcy when three letters picked without replacement from crypppu.
1/70
Two letters picked without replacement from {r: 4, j: 6, l: 7}. Give prob of sequence jl.
21/136
Two letters picked without replacement from rriiiiiiiiii. What is prob of sequence ii?
15/22
Calculate prob of sequence gmgm when four letters picked without replacement from {p: 10, g: 2, m: 4}.
1/1820
Three letters picked without replacement from {c: 2, k: 6, n: 1, m: 1, h: 3}. What is prob of sequence hnc?
1/286
What is prob of sequence xxw when three letters picked without replacement from {w: 3, x: 5, j: 1}?
5/42
Calculate prob of sequence ccwc when four letters picked without replacement from {c: 4, w: 2}.
2/15
What is prob of sequence yy when two letters picked without replacement from {f: 9, y: 2, o: 6}?
1/136
Two letters picked without replacement from {x: 1, g: 11}. Give prob of sequence xg.
1/12
Two letters picked without replacement from rqrqkor. Give prob of sequence qk.
1/21
Three letters picked without replacement from zolqql. Give prob of sequence lqo.
1/30
Three letters picked without replacement from pnpnuuunnpe. Give prob of sequence eun.
2/165
Calculate prob of sequence qqt when three letters picked without replacement from {e: 3, t: 3, q: 2}.
1/56
Two letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
factors of 2708?
2, 677
What are the prime factors of 1520?
2, 5, 19
What are the prime factors of 78048?
2, 3, 271
List the prime factors of 6981.
3, 13, 179
What are the prime factors of 838?
2, 419
List the prime factors of 2153.
2153
List the prime factors of 1632.
2, 3, 17
What are the prime factors of 8437?
11, 13, 59
What are the prime factors of 369?
3, 41
List the prime factors of 2241.
3, 83
What are the prime factors of 4487?
7, 641
List the prime factors of 8327.
11, 757
What are the prime factors of 578?
2, 17
What are the prime factors of 7484?
2, 1871
What are the prime factors of 66558?
2, 3, 11093
What are the prime factors of 16007?
16007
List the prime factors of 3684.
2, 3, 307
What are the prime factors of 3075?
3, 5, 41
List the prime factors of 7859.
29, 271
What are the prime factors of 242?
2, 11
List the prime factors of 1202.
2, 601
What are the prime factors of 23053?
23053
What are the prime factors of 744?
2, 3, 31
What are the prime factors of 8620?
2, 5, 431
What are the prime factors of 2840?
2, 5, 71
What are the prime factors of 31970?
2, 5, 23, 139
What are the prime factors of 1100?
2, 5, 11
List the prime factors of 25005.
3, 5, 1667
List the prime factors of 1123.
1123
What are the prime factors of 3207?
3, 1069
What are the prime factors of 17873?
61, 293
What are the prime factors of 1526?
2, 7, 109
List the prime factors of 24626.
2, 7, 1759
What are the prime factors of 25568?
2, 17, 47
What are the prime factors of 3482?
2, 1741
List the prime factors of 47986.
2, 23993
List the prime factors of 1011.
3, 337
List the prime factors of 37771.
107, 353
What are the prime factors of 2004?
2, 3, 167
What are the prime factors of 17118?
2, 3, 317
What are the prime factors of 20757?
3, 11, 17, 37
What are the prime factors of 6572?
2, 31, 53
List the prime factors of 741.
3, 13, 19
What are the prime factors of 1715?
5, 7
What are the prime factors of 5986?
2, 41, 73
What are the prime factors of 115816?
2, 31, 467
List the prime factors of 36241.
36241
What are the prime factors of 540?
2, 3, 5
List the prime factors of 1008.
2, 3, 7
List the prime factors of 7439.
43, 173
List the prime factors of 1766.
2, 883
List the prime factors of 20708.
2, 31, 167
What are the prime factors of 4998?
2, 3, 7, 17
List the prime factors of 30128.
2, 7, 269
List the prime factors of 1329.
3, 443
What are the prime factors of 419?
419
What are the prime factors of 34578?
2, 3, 17, 113
List the prime factors of 422.
2, 211
What are the prime factors of 9113?
13, 701
What are the prime factors of 4032?
2, 3, 7
What are the prime factors of 13182?
2, 3, 13
List the prime factors of 21664.
2, 677
What are the prime factors of 50475?
3, 5, 673
What are the prime factors of 11665?
5, 2333
What are the prime factors of 4510?
2, 5, 11, 41
List the prime factors of 7576.
2, 947
What are the prime factors of 109083?
3, 13, 2797
List the prime factors of 141373.
109, 1297
List the prime factors of 7216.
2, 11, 41
List the prime factors of 1241.
17, 73
What are the prime factors of 7055?
5, 17, 83
List the prime factors of 2992.
2, 11, 17
What are the prime factors of 34936?
2, 11, 397
What are the prime factors of 2291?
29, 79
What are the prime factors of 134088?
2, 3, 37, 151
List the prime factors of 10770.
2, 3, 5, 359
List the prime factors of 2.
2
What are the prime factors of 5411?
7, 773
List the prime factors of 776.
2, 97
What are the prime factors of 2018?
2, 1009
List the prime factors of 335.
5, 67
List the prime factors of 1925.
5, 7, 11
What are the prime factors of 88993?
88993
What are the prime factors of 15963?
3, 17, 313
List the prime factors of 917.
7, 131
What are the prime factors of 1807?
13, 139
List the prime factors of 36784.
2, 11, 19
List the prime factors of 22693.
11, 2063
List the prime factors of 81476.
2, 20369
What are the prime factors of 25638?
2, 3, 4273
List the prime factors of 864.
2, 3
List the prime factors of 4830.
2, 3, 5, 7, 23
List the prime factors of 1151.
1151
List the prime factors of 366.
2, 3, 61
What are the prime factors of 1601?
1601
List the prime factors of 55.
5, 11
List the prime factors of 12834.
2, 3, 23, 31
What are the prime factors of 36439?
13, 2803
What are the prime factors of 1255?
5, 251
List the prime factors of 1722.
2, 3, 7, 41
List the prime factors of 15563.
79, 197
What are the prime factors of 416?
2, 13
What are the prime factors of 904?
2, 113
What are the prime factors of 957?
3, 11, 29
What are the prime factors of 40970?
2, 5, 17, 241
List the prime factors of 72459.
3, 83, 97
List the prime factors of 2337.
3, 19, 41
List the prime factors of 5045.
5, 1009
What are the prime factors of 102516?
2, 3, 8543
List the prime factors of 3024.
2, 3, 7
What are the prime factors of 19607?
7, 2801
What are the prime factors of 8908?
2, 17, 131
List the prime factors of 65385.
3, 5, 1453
What are the prime factors of 14154?
2, 3, 7, 337
List the prime factors of 5975.
5, 239
List the prime factors of 8067.
3, 2689
What are the prime factors of 993?
3, 331
List the prime factors of 4763.
11, 433
List the prime factors of 752.
2, 47
What are the prime factors of 12419?
11, 1129
What are the prime factors of 54192?
2, 3, 1129
What are the prime factors of 976?
2, 61
What are the prime factors of 117896?
2, 14737
List the prime factors of 75583.
75583
List the prime factors of 50777.
50777
What are the prime factors of 1834?
2, 7, 131
What are the prime factors of 10959?
3, 13, 281
List the prime factors of 2102.
2, 1051
What are the prime factors of 3774?
2, 3, 17, 37
What are the prime factors of 24689?
7, 3527
List the prime factors of 6040.
2, 5, 151
What are the prime factors of 6569?
6569
What are the prime factors of 305?
5, 61
List the prime factors of 2876.
2, 719
List the prime factors of 1578.
2, 3, 263
What are the prime factors of 2951?
13, 227
List the prime factors of 2552.
2, 11, 29
What are the prime factors of 23456?
2, 733
List the prime factors of 155289.
3, 37, 1399
What are the prime factors of 1816?
2, 227
What are the prime factors of 13912?
2, 37, 47
List the prime factors of 116367.
3, 79, 491
What are the prime factors of 33427?
33427
List the prime factors of 26522.
2, 89, 149
What are the prime factors of 5999?
7, 857
List the prime factors of 87899.
7, 29, 433
What are the prime factors of 25175?
5, 19, 53
What are the prime factors of 18023?
67, 269
List the prime factors of 551.
19, 29
List the prime factors of 47315.
5, 9463
List the prime factors of 72862.
2, 17, 2143
What are the prime factors of 1805?
5, 19
What are the prime factors of 4114?
2, 11, 17
List the prime factors of 80532.
2, 3, 2237
List the prime factors of 9563.
73, 131
List the prime factors of 68293.
31, 2203
What are the prime factors of 21096?
2, 3, 293
List the prime factors of 1663.
1663
What are the prime factors of 4146?
2, 3, 691
What are the prime factors of 82?
2, 41
List the prime factors of 5376.
2, 3, 7
List the prime factors of 133.
7, 19
List the prime factors of 4380.
2, 3, 5, 73
List the prime factors of 103725.
3, 5, 461
What are the prime factors of 708?
2, 3, 59
List the prime factors of 1622.
2, 811
List the prime factors of 2372.
2, 593
List the prime factors of 1543.
1543
List the prime factors of 6580.
2, 5, 7, 47
What are the prime factors of 1131?
3, 13, 29
List the prime factors of 232.
2, 29
List the prime factors of 41442.
2, 3, 6907
What are the prime factors of 12192?
2, 3, 127
What are the prime factors of 26190?
2, 3, 5, 97
List the prime factors of 55522.
2, 17, 23, 71
List the prime factors of 2039.
2039
List the prime factors of 195705.
3, 5, 4349
What are the prime factors of 907?
907
List the prime factors of 13227.
3, 4409
List the prime factors of 271.
271
What are the prime factors of 712?
2, 89
List the prime factors of 902.
2, 11, 41
List the prime factors of 14799.
3, 4933
List the prime factors of 274.
2, 137
List the prime factors of 934.
2, 467
What are the prime factors of 35174?
2, 43, 409
What are the prime factors of 24086?
2, 12043
What are the prime factors of 10426?
2, 13, 401
List the prime factors of 830.
2, 5, 83
What are the prime factors of 104327?
104327
What are the prime factors of 636?
2, 3, 53
| {
"pile_set_name": "DM Mathematics"
} |
- 4*h - 2. Let f be n(-3). Let v be 4 + 23 - (0 - f). Solve 2*q + 6 = -d, -2*d + 5*q + v = 2*d for d.
2
Let x(f) = -f + 12. Let c be x(9). Suppose -b + c = -0*b. Solve 3*t - b = -5*j - 5, t + 4*j = -3 for t.
1
Suppose -2*v + 6*a + 14 = 2*a, 0 = 4*v - 2*a - 22. Solve 3*u - 6*u - 5*n + 32 = 0, v*u - 4*n = 4 for u.
4
Let c(t) = 5*t - 2 - 4 + 2 + 1. Let d be c(2). Solve 5*k - d = -2*a - 21, 3*a - 4*k = 2 for a.
-2
Let j = -5 - -2. Let s = -1 - j. Solve 4*g = 2*p - 12, 3*p + 2*p = s*g - 10 for g.
-5
Let s(n) = 6*n. Let x be s(2). Solve -y - 12 = 3*b, -y - x = 4*y + 3*b for y.
0
Suppose 0 = -2*t - 5*w - 34, -6*w = -5*t - w - 50. Let g be 63/18*t/(-7). Solve -5*y - 4*j - 8 = 0, -y + j - g*j + 11 = 0 for y.
-4
Let c = 34 - 31. Solve -6 = -2*v, -j - 2 = -v - c for j.
4
Suppose y - 4*m = -11, 4*y + 4*m - 21 = 3*y. Solve f + y*w - 23 = -0*f, 0 = -4*f + 3*w for f.
3
Suppose 0*s + 4*s - 32 = 0. Solve 3 = -3*o, a - 3*o = -0*o + s for a.
5
Suppose c + c = 8. Solve -3*k - 9 = g, -g - c = 3*g + 4*k for g.
3
Suppose -5*y + 2*n = 19 + 8, -2*y - 4*n = 30. Let s = -2 - y. Solve s*l - v = -22, l + 4*v + 12 = -4*l for l.
-4
Suppose -w - c = -8, 3*w + 9 - 31 = -c. Let a(y) = y**3 - 6*y**2 - 7*y + 4. Let d be a(w). Solve -1 + 0 = 3*b + 5*j, -d*b - 4 = 4*j for b.
-2
Suppose -2*o + 5*u = 4, -5*u + 16 = 2*o - 0*u. Solve 4*g - 2*a + 4 = o*g, 0 = -5*a + 20 for g.
4
Let n = 9 - 2. Let l(c) = c**2 + 14*c - 7. Let r be l(-14). Let d = r + n. Solve d*a - 4*x = a + 9, x = 4*a + 19 for a.
-5
Suppose 4*m - 56 = 3*m. Let l = 85 - m. Solve -3*o - l = -5*q, -q + 2*o - 7*o - 11 = 0 for q.
4
Suppose 2*h - 5*h = -54. Suppose -2*f - 12 = 2*m - 0*m, 4*f + h = 2*m. Let n = 2 + m. Solve -5*w = 2*q - 5 - n, 0 = 4*q - 2*w + 12 for q.
-2
Suppose 5*h - 3*g = 4 - 0, 0 = -3*h + 3*g. Solve c = 2*v + h*c - 15, -10 = -2*c for v.
5
Let u be (-6)/12 + 26/(-4). Let k be u/(-2) + (-2)/4. Solve 2*w = -k*a - 6, -3*a - 7*w + 2*w - 6 = 0 for a.
-2
Suppose -4*l = -8 - 0, 2*z - 20 = 2*l. Solve g + 17 = -5*m + 2*g, -2*m - z = -3*g for m.
-3
Let i = 8 - 8. Suppose i = -0*m - 2*m + 2*z + 6, 12 = m - 4*z. Solve m = 4*l - 16 - 4, 0 = -3*a + 4*l - 32 for a.
-4
Let i be (-4)/(-1 - (-3)/(-3)). Suppose -f - 5 = -i*f. Solve 3*p = 3*x - 21, -f*x + 5*p + 26 = -3*x for x.
3
Let k be 2 + 4/(0 - -4). Solve -k*o + 0*l = -4*l + 8, 2*l = o + 2 for o.
-4
Suppose 0 = -4*n - 3*c + 5, -3 = -4*n - 0*c - 5*c. Solve -2*s + 4 = -2*v - n, -v - s = 3 for v.
-3
Let f = -5 - -4. Let z be (-3 + (-6)/(-3))*f. Let x be 6*z - 1 - 1. Solve g + 3*g = h - 18, -12 = -4*h + x*g for h.
-2
Suppose 2 = -4*m - 2*l, -m - 2*l = -4*l - 12. Suppose -5*t = m*b, -5*t - 20 = -4*b + 10. Let v = 19 + -9. Solve 4*w - 4*j = w - v, 5*w + 15 = b*j for w.
-2
Let y = -1 - -5. Suppose f + 7 = 4*p, -4*p + 0*p = -3*f + 3. Solve -3*b - y*l - 6 = 0, b + p*l = -6 - 1 for b.
2
Let k be 9/(-6)*(-4 - -2). Solve 2*o + 12 = d, 5*d - k*d = -5*o - 12 for o.
-4
Suppose -5*h - 1 + 11 = 0. Solve 0 = 3*u + 2*o - 7, o = -h*u + 2 + 1 for u.
-1
Suppose 2*b - 4 = -2*o, -3*o - b + 6 = -o. Suppose 0 = 3*q + o*f - 5*f - 7, -4*f + 40 = 5*q. Let l = q - 2. Solve 2*s - 2*a - 3 = 3*a, -s + 3*a = -l for s.
-1
Let f be 6/(-12) + 10/4. Solve -5*w - 6 = -2*w, f*b + 4*w = 0 for b.
4
Let d(u) = 0 + 0*u**2 + 16 - 13*u + u**2 + 0*u. Let t be d(14). Solve 4*c + c = -5*k + t, 5*c = -2*k + 24 for c.
4
Let s = -10 - -9. Let r be (4 - -2)*(s - 1). Let v be -6*(-2 - r/9). Solve 0 = 4*g - 5*f + 10, -4 = v*g - 2*f for g.
0
Suppose 2*f + g - 13 = -f, 17 = -f + 5*g. Solve 2*j = f*n + 11, -j = -3*j - 4*n - 10 for j.
1
Let c(t) = -t**3 + 3*t**2 + 6*t - 6. Let w be c(4). Let o = 2 + -5. Let b(k) = k**2 - k - 7. Let v be b(o). Solve 0 = -w*l + v*d + 24, -1 = 5*l + 3*d + 1 for l.
2
Let n be (-1 + (-8)/(-2))*6. Solve 4*o - n = -2*k, -4*k = o + o - 18 for k.
3
Let y(j) = -j**2 - 7*j - 5. Let o(g) = -g**2 - g - 1. Let t = -9 - -6. Let w(q) = t*o(q) + y(q). Let s be w(4). Solve -2*h = 3*d - s, 3 = 5*d + h - 11 for d.
2
Let c = -3 + 8. Solve -i - 2*d = 4, -8 = -c*i - 4*d + 8*d for i.
0
Suppose 0 = -z - 4*b - 2, 0*z - 2*b + 8 = 5*z. Let v be 4 + 1 + (-4)/z. Solve u - v*m = -23 + 6, u = -5*m + 15 for u.
-5
Let l be -1 + 2 + (0 - 0). Let d(h) = h**3 + 1. Let z be d(-1). Let w be 1 + l + z/(-3). Solve -w*p + 5*m - 12 = m, 2*p - m + 6 = 0 for p.
-2
Let l be 6/2*28/12. Suppose -4*i - 4*t = t + l, -i + 2*t = -8. Solve -8 = 2*k + i*n, 7*k - n - 2 = 6*k for k.
-1
Suppose 0 = 3*x + 9 + 24. Let s = -7 - x. Solve -s*f - k + 6 = 0, 3*k - 4*k = -3*f + 1 for f.
1
Let k be 6/5*10/6. Solve -4*l = -5*m + k, 0 = -2*l - 4*m - 13 - 1 for l.
-3
Let t(x) = x**3 + 5*x**2 - 6*x. Let w be t(-6). Suppose 4*z + 3*v - 19 = 0, w = -5*z + 4*v + 16. Solve -5*q + 7 = r - q, -3*r - 27 = -z*q for r.
-5
Let t = 11 - 7. Solve 0 = -2*q + t, q = 2*p - 0*q - 2 for p.
2
Suppose -10 = -2*m - 3*n, 4*n + 2 = m - 3. Solve 3*r = m*y + 14, -4*r - 12 = 6*y - 5*y for y.
-4
Suppose 0 = -2*y + 4*y. Solve -o + 3*w + 1 = -y*o, 0 = -5*o - w - 27 for o.
-5
Let d(f) = 3*f - 4*f - 4*f + 4*f. Let i be d(-2). Solve i*g + 3*k = g + 15, 4*k = 20 for g.
0
Suppose 4*z = j - 9, 0 = 5*j + 4*z + z - 20. Solve u = 4*p - 17, 3*p + 0*u = -j*u + 30 for p.
5
Suppose g - 2*f - 2 = -7*f, 0 = -3*g - 5*f + 6. Solve -5*x + 3*k - 2 = 0, 0*k = g*x - k for x.
2
Suppose -1 + 9 = 4*o. Let d be (0 + 3)*(-12)/(-9). Solve -d*g = 4*m, 2*g - o*m + 3 = 3*g for g.
-3
Suppose 0 = -12*j + 7*j - 205. Let o = -23 - j. Solve 7 = b + 5*a - o, b - 4*a = -11 for b.
5
Let v(a) = a**2 - 2*a - 4. Let u(z) = z**3 - z + 4. Let n be u(0). Let f be v(n). Solve -2*k = -3*k + 3*r - 5, f*k + 5*r = 14 for k.
1
Suppose 0 = -4*j + 5*o - 20, -2*o - 4 = 5*j - 3*o. Solve 5*w = 2*w - 6, -5*g - 3*w - 31 = j for g.
-5
Suppose 0 = -0*y - 4*y - 2*b + 2, 5*y + 5*b = -10. Solve -f = 2*v - y + 4, -5*v - 35 = -4*f for f.
5
Let v = -91 - -96. Solve -5*a + 0*j - 8 = 4*j, v*j - 19 = a for a.
-4
Let w be (-12)/(2 - -2)*-1. Solve 0 = -2*f + f + 2, -w*f = -4*k + 10 for k.
4
Let y(k) = -k - 4. Let c be y(-8). Solve 0 = -2*f - c*h - h - 6, -4*f - 12 = -3*h for f.
-3
Suppose -f = 4*n - 24, 3*n + 3*f = -0*f + 27. Solve 3*d + 15 = 3*k + d, 5*k + n*d - 25 = 0 for k.
5
Suppose 5*w - 37 = -12. Solve 3*j = 3*n - 15, 3*n + 0*n - j - w = 0 for n.
0
Let a(c) = 2*c**2 - c + 1. Suppose o + 2*g - 1 = 0, -g = 3*o - 2 - 1. Let i be a(o). Solve -3*p - p + 2*y = -14, 0 = -2*y - i for p.
3
Let s(o) = o + 17. Let f be s(-10). Solve -f = -5*t + 3*q, -4*q = -3*q + 4 for t.
-1
Let q(u) = u**2. Let n(x) = -3*x**2 - x - 1. Let y(l) = -n(l) - 4*q(l). Let b be y(3). Let i = -3 - b. Solve 4*j = i*j - d - 1, -j + 7 = 3*d for j.
-2
Let l be 114/8 - (-105)/140. Solve 0 = -5*w + 5*y + l, 7*w + 5*y = 2*w + 35 for w.
5
Let l(k) = k - 3. Let b = 7 + -1. Let s be l(b). Solve 2*d - s*p - 17 = 0, 3*d + 2*p + 2 = -5 for d.
1
Suppose 7*u - 2*u = 10. Solve 0 = -3*w - 5*c - 23, 3*w - u*c - 2 = 3 for w.
-1
Let w(x) = -x + 6*x**2 + 11*x**2 - 5*x**2. Let r be w(-1). Let q = -17 + 26. Solve -j - p = -3*j + r, -j = -p - q for j.
4
Suppose -1 = 13*f - 40. Solve 2*q + 3 = f*y + 19, -2*q - 5*y = 0 for q.
5
Suppose 20 = 5*k - 0. Solve s + k*z - 12 = 0, 0*z - 4 = -2*s - 3*z for s.
-4
Suppose 4*x + h = 8*x - 23, -h - 3 = 0. Let n be ((-16)/((-6)/(-3)))/(-2). Let j be 58/6 - 4/6. Solve x*i = u - 8, j*u - 4*i - 19 = n*u for u.
3
Let d(r) = -r**3 - 2*r**2 - r + 2. Let v = 8 + -6. Let o be d(v). Let s be (9/(-6))/(6/o). Solve u - j = -3*j - s, 2*j = -3*u for u.
2
Let g = -5 + 0. Let n = -3 - g. Let v be (n/3)/((-2)/(-15)). Solve 0 = v*k + 4*a - a - 1, 0 = 3*k - 2*a - 12 for k.
2
Suppose -5*g + 10 = -0*g. Let m(l) = -l**2 - l**g - 2*l + 9*l**2 - 1. Let r be m(-1). Solve -5*h + 26 = -2*j, 2*h - r = -0*h for j.
-3
Suppose 4*l - 11 = 5. Let z = 8 - -2. Solve -l*c - 3*j = 11, 2*j = 5*c + 7*j + z for c.
-5
Suppose -2*p + 3*b - 134 = 0, 138 = -2*p + b - 0*b. Let u be ((-40)/p)/(2/7). Solve -4*l - o = 3*o + 8, 4 = l - u*o for l.
0
Suppose -4*u + u = 0. Solve u = 4*p + g - 13, -3*p + g + 1 = -0 for p.
2
Let a be (3 + 3)/((-6)/(-2)). Solve -4*r - 5*i + 35 = -6*r, -a*r = 5*i - 15 for r.
-5
Suppose 9*y = 12*y - 12. Solve -2*j + 4*z = 7*z + 10, 0 = j + y*z + 10 for j.
-2
Let r(o) = o**3 - 25*o**2 + 23*o + 26. Let a be r(24). Solve c - a = 3*h - 10, 3*h - 2*c - 13 = 0 for h.
1
Let y = -33 - -38. Solve 2*t = 4* | {
"pile_set_name": "DM Mathematics"
} |
hen 728193 is divided by 837.
3
Calculate the remainder when 1843905 is divided by 1746.
129
Calculate the remainder when 17817627 is divided by 17817622.
5
What is the remainder when 117749 is divided by 3716?
2553
Calculate the remainder when 227931658 is divided by 4.
2
Calculate the remainder when 3485387 is divided by 3482.
3387
Calculate the remainder when 8682963 is divided by 65780.
3
Calculate the remainder when 3207275 is divided by 384.
107
What is the remainder when 1626404 is divided by 16?
4
What is the remainder when 5473458 is divided by 412?
38
What is the remainder when 45225 is divided by 1677?
1623
What is the remainder when 17188658 is divided by 543?
536
Calculate the remainder when 4694038 is divided by 1770.
1768
What is the remainder when 2054346 is divided by 3287?
3258
Calculate the remainder when 31275214 is divided by 12.
10
What is the remainder when 9862247 is divided by 19?
12
Calculate the remainder when 239775 is divided by 5115.
4485
Calculate the remainder when 1098343 is divided by 414.
1
What is the remainder when 805219 is divided by 161?
58
Calculate the remainder when 687369 is divided by 5328.
57
What is the remainder when 28564840 is divided by 1503411?
31
What is the remainder when 36444 is divided by 1931?
1686
Calculate the remainder when 851499 is divided by 212829.
183
Calculate the remainder when 363272 is divided by 2952.
176
Calculate the remainder when 755711 is divided by 385.
341
Calculate the remainder when 44702142 is divided by 27.
24
What is the remainder when 1715463 is divided by 428834?
127
What is the remainder when 5589375 is divided by 70?
15
Calculate the remainder when 118067 is divided by 105.
47
What is the remainder when 5225270 is divided by 2304?
2102
Calculate the remainder when 1363665 is divided by 805.
800
What is the remainder when 1151516 is divided by 201?
188
Calculate the remainder when 3526182 is divided by 31.
25
What is the remainder when 700845 is divided by 233596?
57
What is the remainder when 14284381 is divided by 60527?
9
Calculate the remainder when 22804968 is divided by 1200260.
28
Calculate the remainder when 6130193 is divided by 1226006.
163
What is the remainder when 495537 is divided by 7079?
7
Calculate the remainder when 150092 is divided by 774.
710
Calculate the remainder when 1651150 is divided by 412354.
1734
What is the remainder when 1096485 is divided by 595?
495
What is the remainder when 1053616 is divided by 525903?
1810
Calculate the remainder when 8983754 is divided by 15.
14
What is the remainder when 1467371 is divided by 69874?
17
What is the remainder when 26798082 is divided by 834?
828
What is the remainder when 1253423 is divided by 25580?
3
Calculate the remainder when 4659038 is divided by 27.
26
Calculate the remainder when 77300795 is divided by 40.
35
Calculate the remainder when 177461 is divided by 5217.
83
Calculate the remainder when 70486 is divided by 34940.
606
Calculate the remainder when 450623157 is divided by 15.
12
What is the remainder when 2334183 is divided by 2966?
2907
What is the remainder when 1417344 is divided by 88569?
240
Calculate the remainder when 520219 is divided by 43286.
787
Calculate the remainder when 1055871 is divided by 5175.
171
What is the remainder when 7640439 is divided by 2223?
2211
What is the remainder when 214047 is divided by 191?
127
What is the remainder when 139693977 is divided by 15?
12
Calculate the remainder when 364451 is divided by 19140.
791
Calculate the remainder when 5568190 is divided by 1051.
1043
What is the remainder when 5739872 is divided by 59?
57
What is the remainder when 5161335 is divided by 117?
114
What is the remainder when 791462 is divided by 369?
326
Calculate the remainder when 682264 is divided by 68213.
134
Calculate the remainder when 26153040 is divided by 637879.
1
What is the remainder when 58166 is divided by 57062?
1104
Calculate the remainder when 4565748 is divided by 71339.
52
Calculate the remainder when 3921487 is divided by 206392.
39
Calculate the remainder when 7403887 is divided by 20974.
65
Calculate the remainder when 3025426 is divided by 17.
4
Calculate the remainder when 57794206 is divided by 10.
6
What is the remainder when 22280574 is divided by 691?
661
What is the remainder when 246111391 is divided by 50?
41
Calculate the remainder when 383112 is divided by 31903.
276
Calculate the remainder when 4265662 is divided by 193888.
126
What is the remainder when 4124915 is divided by 242642?
1
Calculate the remainder when 5453663 is divided by 2726829.
5
What is the remainder when 4762491 is divided by 5525?
5466
What is the remainder when 20617 is divided by 8883?
2851
What is the remainder when 328373 is divided by 1943?
6
Calculate the remainder when 14030858 is divided by 2716.
2
What is the remainder when 1209332 is divided by 14?
12
What is the remainder when 933208 is divided by 466599?
10
Calculate the remainder when 10162421 is divided by 13478.
9
Calculate the remainder when 24073448 is divided by 44498.
30
What is the remainder when 12479742 is divided by 111426?
30
Calculate the remainder when 24291425 is divided by 12.
5
What is the remainder when 157330 is divided by 21?
19
Calculate the remainder when 41893302 is divided by 79.
76
Calculate the remainder when 144577 is divided by 5403.
4099
What is the remainder when 4254523 is divided by 850903?
8
Calculate the remainder when 598701 is divided by 149514.
645
What is the remainder when 588949 is divided by 8?
5
What is the remainder when 538725 is divided by 107684?
305
Calculate the remainder when 88715 is divided by 29113.
1376
What is the remainder when 323644 is divided by 4903?
46
Calculate the remainder when 221155 is divided by 34.
19
What is the remainder when 1365990 is divided by 50592?
6
Calculate the remainder when 12142858 is divided by 97.
10
What is the remainder when 6757683 is divided by 3324?
3315
Calculate the remainder when 101185257 is divided by 87.
81
What is the remainder when 62908696 is divided by 15850?
46
What is the remainder when 59923 is divided by 1222?
45
What is the remainder when 1949944 is divided by 8193?
10
Calculate the remainder when 13628 is divided by 569.
541
What is the remainder when 3084176 is divided by 616788?
236
Calculate the remainder when 6535333 is divided by 16.
5
What is the remainder when 1512445 is divided by 26529?
292
What is the remainder when 18142 is divided by 1060?
122
What is the remainder when 751213 is divided by 32636?
585
Calculate the remainder when 324076 is divided by 2818.
6
What is the remainder when 64969 is divided by 178?
177
What is the remainder when 114652 is divided by 874?
158
What is the remainder when 475477069 is divided by 1858?
5
What is the remainder when 253157 is divided by 61?
7
Calculate the remainder when 38430975 is divided by 17.
10
What is the remainder when 7178676 is divided by 9?
6
Calculate the remainder when 2460091 is divided by 4.
3
Calculate the remainder when 11739053 is divided by 7.
4
Calculate the remainder when 699434981 is divided by 13.
11
Calculate the remainder when 5648944 is divided by 100874.
0
What is the remainder when 53380755 is divided by 85?
75
What is the remainder when 1822683 is divided by 55222?
357
What is the remainder when 1452846 is divided by 1316?
1298
What is the remainder when 96138524 is divided by 20?
4
What is the remainder when 152674 is divided by 25434?
70
Calculate the remainder when 10561 is divided by 4529.
1503
Calculate the remainder when 17285189 is divided by 110.
9
What is the remainder when 160070 is divided by 90?
50
What is the remainder when 3639971 is divided by 4323?
5
What is the remainder when 55274 is divided by 30?
14
What is the remainder when 2920431 is divided by 479?
447
Calculate the remainder when 4934 is divided by 617.
615
Calculate the remainder when 362893249 is divided by 51841892.
5
Calculate the remainder when 52912 is divided by 22.
2
Calculate the remainder when 154323559 is divided by 1978.
1977
Calculate the remainder when 128452 is divided by 1074.
646
What is the remainder when 950023 is divided by 1443?
529
Calculate the remainder when 18763785 is divided by 19.
12
Calculate the rem | {
"pile_set_name": "DM Mathematics"
} |
Two letters picked without replacement from {z: 9, v: 2}. Give prob of sequence vz.
9/55
Two letters picked without replacement from lbpplbpbbpbl. What is prob of sequence bl?
5/44
Calculate prob of sequence fw when two letters picked without replacement from ffffwgfgw.
5/36
Four letters picked without replacement from wacchwhwskwwwwwcwa. Give prob of sequence kwas.
1/4080
Four letters picked without replacement from {l: 3, f: 9, i: 4}. What is prob of sequence lfif?
9/455
Calculate prob of sequence wj when two letters picked without replacement from eeqeweqjoeeqoo.
1/182
Four letters picked without replacement from khhkhkhkkknnkhhh. What is prob of sequence nhkh?
7/520
Calculate prob of sequence xz when two letters picked without replacement from {z: 1, n: 5, x: 3}.
1/24
Calculate prob of sequence bk when two letters picked without replacement from {c: 7, d: 1, f: 3, b: 4, k: 1}.
1/60
Four letters picked without replacement from fffjjffffjfffjjfffj. What is prob of sequence fjjf?
65/1292
Four letters picked without replacement from {v: 4, j: 2, a: 2}. What is prob of sequence ajja?
1/420
Two letters picked without replacement from {o: 2, a: 9, p: 1, j: 2}. What is prob of sequence pa?
9/182
What is prob of sequence mj when two letters picked without replacement from jmmmmjmmmjjmmmmmmjmm?
15/76
Two letters picked without replacement from {e: 1, g: 4, q: 1, s: 9, r: 3}. Give prob of sequence qe.
1/306
Two letters picked without replacement from {z: 2, i: 7, p: 5, t: 3}. What is prob of sequence zi?
7/136
Four letters picked without replacement from ahcaccmawmdhh. Give prob of sequence wcac.
3/2860
What is prob of sequence po when two letters picked without replacement from mmommmmoppomp?
3/52
Calculate prob of sequence ez when two letters picked without replacement from {a: 1, f: 1, e: 1, r: 1, z: 2, s: 1}.
1/21
Four letters picked without replacement from {a: 13, m: 6}. Give prob of sequence mamm.
65/3876
What is prob of sequence vsea when four letters picked without replacement from {e: 1, v: 4, a: 2, n: 7, s: 2, u: 4}?
2/14535
Calculate prob of sequence kppk when four letters picked without replacement from {k: 9, p: 5}.
60/1001
Three letters picked without replacement from {q: 15, z: 4}. Give prob of sequence zzq.
10/323
Calculate prob of sequence knlp when four letters picked without replacement from {l: 4, k: 3, n: 1, p: 2, s: 1, v: 1}.
1/495
Two letters picked without replacement from {x: 4, z: 1, p: 7, f: 2, s: 1}. Give prob of sequence sx.
2/105
Calculate prob of sequence dd when two letters picked without replacement from hhvddrddd.
5/18
Calculate prob of sequence hh when two letters picked without replacement from vvvhhvvvv.
1/36
Two letters picked without replacement from {m: 2, x: 10}. Give prob of sequence xx.
15/22
Two letters picked without replacement from {p: 10, u: 1, j: 8}. What is prob of sequence pj?
40/171
Calculate prob of sequence dyds when four letters picked without replacement from sdldlyillddyyd.
5/2002
What is prob of sequence rx when two letters picked without replacement from {u: 4, q: 2, x: 2, r: 1}?
1/36
Four letters picked without replacement from lllggllglllglllggggg. Give prob of sequence ggll.
22/323
Three letters picked without replacement from yqqwqqyqyttq. Give prob of sequence qqw.
1/44
Four letters picked without replacement from vnovovoqvxvxonqxvv. Give prob of sequence ooxq.
1/1020
Two letters picked without replacement from quuuuuquuuquuuuuuu. What is prob of sequence qu?
5/34
Three letters picked without replacement from keee. What is prob of sequence eee?
1/4
Four letters picked without replacement from ccccccccc. What is prob of sequence cccc?
1
Two letters picked without replacement from {p: 1, x: 2, b: 1, i: 1, r: 2}. Give prob of sequence br.
1/21
Two letters picked without replacement from {s: 2, n: 1, b: 12, u: 3, q: 1}. What is prob of sequence bq?
2/57
Two letters picked without replacement from {x: 4, l: 2, p: 1, m: 4}. Give prob of sequence ml.
4/55
Two letters picked without replacement from {s: 7, c: 4}. What is prob of sequence cc?
6/55
Calculate prob of sequence wzv when three letters picked without replacement from pzpivjwppjjjj.
1/1716
Two letters picked without replacement from vfvvyxyxxvqp. What is prob of sequence yx?
1/22
Three letters picked without replacement from nvqixvbq. What is prob of sequence ixb?
1/336
Calculate prob of sequence zm when two letters picked without replacement from {m: 5, e: 8, z: 5}.
25/306
Three letters picked without replacement from ljjgqljjjjgjggjqjjr. What is prob of sequence rll?
1/2907
Calculate prob of sequence ps when two letters picked without replacement from hfupfsushphh.
1/33
Four letters picked without replacement from {d: 1, l: 1, b: 1, o: 3, s: 1}. Give prob of sequence oboo.
1/140
Calculate prob of sequence yjs when three letters picked without replacement from ysvvyjvjmsymm.
1/143
Three letters picked without replacement from zvzllv. What is prob of sequence zvl?
1/15
What is prob of sequence qnnn when four letters picked without replacement from {u: 3, q: 5, n: 5}?
5/286
Calculate prob of sequence ge when two letters picked without replacement from {l: 3, c: 2, e: 1, g: 6}.
1/22
Three letters picked without replacement from {q: 5, p: 1, d: 1, c: 1, y: 2}. Give prob of sequence pcq.
1/144
Three letters picked without replacement from {f: 2, x: 2, g: 5, t: 3, i: 1, c: 7}. What is prob of sequence xcc?
7/570
Calculate prob of sequence nnn when three letters picked without replacement from ncrrnrrprnriir.
1/364
Four letters picked without replacement from iddd. What is prob of sequence didd?
1/4
What is prob of sequence xy when two letters picked without replacement from {v: 1, y: 2, o: 1, h: 1, x: 2, a: 1}?
1/14
Two letters picked without replacement from {j: 10}. What is prob of sequence jj?
1
Two letters picked without replacement from yykkyyyyy. Give prob of sequence kk.
1/36
Calculate prob of sequence ifp when three letters picked without replacement from fpfaaxjiffii.
1/110
Two letters picked without replacement from {w: 5, s: 2, c: 7, l: 3}. What is prob of sequence lc?
21/272
Calculate prob of sequence st when two letters picked without replacement from ssssltssts.
7/45
What is prob of sequence wmmq when four letters picked without replacement from {m: 2, w: 6, c: 1, q: 2, d: 6}?
1/2380
Calculate prob of sequence tla when three letters picked without replacement from {a: 3, x: 7, t: 2, g: 4, l: 1}.
1/680
Calculate prob of sequence sbuu when four letters picked without replacement from buusbubuubuuuu.
12/1001
Two letters picked without replacement from {a: 2, c: 8, y: 2}. What is prob of sequence ya?
1/33
Two letters picked without replacement from fyfafyyfyffyayfy. Give prob of sequence af.
7/120
Calculate prob of sequence lr when two letters picked without replacement from {r: 1, u: 2, m: 1, l: 2, k: 1, b: 1}.
1/28
Three letters picked without replacement from {i: 2, g: 7, y: 1, o: 4}. What is prob of sequence ogg?
1/13
Calculate prob of sequence du when two letters picked without replacement from {p: 8, g: 2, d: 1, u: 5}.
1/48
Four letters picked without replacement from {n: 7}. What is prob of sequence nnnn?
1
Four letters picked without replacement from eeefeeeefffefeqeff. Give prob of sequence feff.
35/1224
Three letters picked without replacement from nzrnipinpphpni. What is prob of sequence nhi?
1/182
Calculate prob of sequence co when two letters picked without replacement from olwwcci.
1/21
Calculate prob of sequence jiih when four letters picked without replacement from jgiggghhihhig.
1/715
What is prob of sequence vq when two letters picked without replacement from qrvqqovrvovqvvvqqovq?
14/95
Calculate prob of sequence kkh when three letters picked without replacement from kkikhiwkimk.
2/99
Calculate prob of sequence nyy when three letters picked without replacement from xynexcyxyny.
4/165
Three letters picked without replacement from zzzjzzzzzzzzzzz. Give prob of sequence zjz.
1/15
Calculate prob of sequence uuub when four letters picked without replacement from uubuuuuu.
1/8
Three letters picked without replacement from {f: 2, h: 17}. What is prob of sequence hfh?
16/171
Four letters picked without replacement | {
"pile_set_name": "DM Mathematics"
} |
.
5
Suppose -2*k - h = -14 - 13, 4*k - 4*h - 72 = 0. Solve o - k = -4*o for o.
3
Let n be 5 + -7 + 4/1. Let p(r) = 3*r**2 - r**2 + 1 + n - r**2 - 5*r. Let f be p(5). Solve t - f*t = 0 for t.
0
Let l = 21 + -20. Let d = 2 + l. Solve -2*b = -d*b - 3 for b.
-3
Let w = -50 + 0. Let c be w/1*(-2)/(-4). Let q be 1/(15/(-6))*c. Solve 0 = 3*i - 8*i + q for i.
2
Let b be 2/4*(4 - -2). Suppose -b*p = -2*p. Solve p = -6*y + 2*y for y.
0
Let o be ((-75)/(-20))/(2/8). Let d = o + -9. Solve 0 = 2*a - d - 0 for a.
3
Let r(t) be the second derivative of t**4/12 - 4*t. Let s be r(0). Let f(i) = i**2 - i - 1. Let b be f(3). Solve s*q = -b*q - 10 for q.
-2
Suppose 3*y = -3*n + 6, -n - 3*n + 10 = 3*y. Solve n*d = d - 3 for d.
-1
Let k be (-1 - -2) + (1 - 1). Let u be k/(-4) - (-4)/16. Solve -a + 2 + 3 = u for a.
5
Let m(a) = a**2 - 2*a - 7. Let c be m(5). Let b(l) = l**2 - 4*l + 3. Let f be b(2). Let d be ((-2)/6*0)/f. Solve 5*o + c + 17 = d for o.
-5
Suppose -3*m - 2*h = -0*m - 9, 4*h = -12. Solve -3*f - 6 = -m*f for f.
3
Let l = -9 - -11. Solve -12 = -2*d - l*d for d.
3
Let x be (-2 + 2)*1*(-2)/6. Solve -3*l - 6 = -x for l.
-2
Let k be (335/(-65) - -5) + 28/13. Let c be 2 - 2 - 0/(-1). Solve c = k*t + 2 - 4 for t.
1
Let u = 5 + 1. Let d be (1/(-2))/((-4)/(-40)). Let p = 10 - d. Solve 3*o = u*o - p for o.
5
Suppose 18*g + 20 = 13*g. Suppose 2*t - p = -2*t + 9, 0 = -5*t + 5*p + 15. Let x = t - g. Solve -x = 3*v - 0 for v.
-2
Let a(r) = r**2 + 4*r + 2. Let l be a(-5). Solve 4*d - l = 5 for d.
3
Suppose 0 = -4*t + 8*t - 100. Solve -8*z - t = -3*z for z.
-5
Let z(c) = c**3 - 8*c**2 + 4. Let q be z(8). Let v be (-2)/1*-1 - -24. Suppose -i + 22 = 4*l - v, -2*l + 42 = 5*i. Solve 0 = q*g - 1 - l for g.
3
Let o = 1 + -5. Let n(h) = 4*h + 1. Let l be n(1). Let g = o + l. Solve -8 - g = 3*x for x.
-3
Suppose -12 = -5*i + 2*p, -6*p = -3*i - 2*p - 4. Solve 2*x = -0*x + i for x.
2
Let s be 3*12/9*1. Solve -o + 5*o = -s for o.
-1
Suppose -9 = 2*k + 3*p, 3*k - p = -k + 17. Solve -7*n = -k*n for n.
0
Suppose -v + 4*o = -71, -4*v + 5*v - 3*o - 67 = 0. Suppose 0 = -3*s + 3*i + 30, -5*s + 2*i - 8 + v = 0. Solve s = 3*y - 0*y for y.
3
Suppose -6*m = -m - 20. Suppose m*p = 2*p. Solve p*s = 5*s + 20 for s.
-4
Let r = -22 - -31. Suppose 4*l + 21 + 3 = 0. Let u be (6/r)/((-2)/l). Solve 0 = -3*z - u + 8 for z.
2
Let v(z) = 5*z**2 - 4*z + 3. Let g be v(2). Let t = g - 8. Suppose 0 = 4*j - 13 - t. Solve j*m + 6 = 2*m for m.
-2
Let y(v) = -v + 17. Let z be y(12). Solve 0 = j - 2*j - z for j.
-5
Suppose -2*u + 5 + 5 = 0. Let l = 7 - u. Suppose -5*s + 8 = 3*f, -2*s + 16 = -4*f + l*f. Solve 0 = s*a - 2*a + 6 for a.
-3
Let p = 34 + -32. Solve r = 3 - p for r.
1
Let k be (2/6)/((-3)/9). Let a = k + 3. Solve a*m + 12 = -2*m for m.
-3
Let h = 10 - -13. Let y be h/7 + (-6)/21. Solve 12 = -3*g - y for g.
-5
Suppose -5*t = 8 - 33. Solve -5 - 5 = t*u for u.
-2
Let k(f) = f**3 + 7*f**2 - 10*f - 16. Let o be k(-8). Solve -4 + o = j for j.
-4
Let n(x) = x**2 - 5*x + 2. Let z be n(4). Let c(h) = 2*h**2 + 3*h. Let s be c(z). Solve 0 = 3*w - s - 1 for w.
1
Suppose -4*n = 9 - 25. Solve -m = -n*m + 9 for m.
3
Let f = -24 - -29. Solve 2 = -f*h - 8 for h.
-2
Suppose -r = -23 + 3. Suppose -2*m - 1 - 1 = 0. Let n(y) = 6*y**2 + y. Let k be n(m). Solve 0*f + k*f = -r for f.
-4
Let j = 26 + -24. Solve -x = j + 2 for x.
-4
Suppose -4*x - 1 + 9 = 0. Let c be ((-12)/15)/((-4)/(-10)). Let l = x + c. Solve i + l*i - 2 = 0 for i.
2
Suppose -3*g + 30 = -5*f - 13, 3*g - 31 = -f. Solve 3*o + 4 + g = 0 for o.
-5
Suppose r = 5*g + 7, 3*r - 5 = -2*g + 16. Let j(t) = -t**2 + 20*t - 16. Let h be j(19). Solve r*m = h*m + 20 for m.
5
Let m = -8 - -12. Suppose -m*n - 24 = -0*n. Let f = n + 11. Solve -2*k = -3 - f for k.
4
Suppose -6*n = -v - n + 13, 0 = -3*v - 4*n + 1. Solve v*g = -g + 8 for g.
2
Suppose 0*h + 4*h = 8. Suppose -h*y = -0*y. Let v(q) = -q**2 - q + 4. Let p be v(y). Solve g + p = -g for g.
-2
Let c(d) = d**2 - 25*d + 26. Let y be c(24). Solve -3 - 7 = y*p for p.
-5
Let c(o) = -11*o - 27. Let g be c(-3). Solve -g*k = -2*k - 12 for k.
3
Let f = 211 - 211. Solve 2*w + 11 - 9 = f for w.
-1
Suppose 3*p = 3*v, -3 = v - 4*p + 2*p. Suppose v*z - 6 = z. Solve -6 - 9 = z*f for f.
-5
Let z be (2/(-4))/((-57)/(-30) + -2). Solve -3*r + z = 17 for r.
-4
Suppose -3*k + 2*z = 11, 12 = 3*z - 0*z. Let t be (3 + k + -2)/(-2). Solve 3*f + t*f = 0 for f.
0
Let s be (-6)/3 + (-5)/(-1). Solve -1 = s*a + 5 for a.
-2
Let m(g) = 2*g**2 - 38*g + 1. Let n be m(19). Solve 4*p - n = -5 for p.
-1
Let f be -4 - (1 + 3 + -8). Solve -7*k + 2*k + 15 = f for k.
3
Let v = 61 - 56. Solve 3*k - v - 4 = 0 for k.
3
Let j(h) = -h**3 + 7*h**2 + 2*h - 9. Let n(y) = 8*y - 1. Let x be n(1). Let c be j(x). Suppose 2*l - l - 5 = 0. Solve -5*o - l = c for o.
-2
Let h(b) = -b**2 + 9*b + 24. Let g be h(11). Solve -m = -2*m + g for m.
2
Suppose 2*g = 6*g - 64. Let j = -10 + g. Solve -j + 2 = -4*o for o.
1
Suppose 25*a = 30*a. Solve 2 = o - a for o.
2
Suppose -20 = -5*f + f. Suppose -f*u = -u - 24. Suppose -5*w + q = -w - 64, -3*w + 3*q + 48 = 0. Solve u*g - 2*g = -w for g.
-4
Let x = -141 + 145. Let v(s) = 9*s. Let d(u) = 28*u. Let w(z) = 5*d(z) - 16*v(z). Let m be w(-1). Solve m = 4*r - x for r.
2
Let m be (6/(-15))/((-2)/10). Suppose -5*h + 43 = -3*p, -7 = -h - m*p + p. Let b(c) = -c**2 + 8*c + 3. Let s be b(h). Solve -s*t + 2*t = 3 for t.
-3
Let o = 12 + -7. Let u = -3 + o. Solve u = 2*r - r for r.
2
Let u(b) = 2*b**2 - 2*b - 3. Let c be u(-2). Let d be ((-3)/(-5))/((-4)/(-20)). Suppose -d*z = -3 - c. Solve -z = 3*x - x for x.
-2
Let s(b) = -b**2 + 14*b - 28. Let c be s(11). Solve c*n = -0*n for n.
0
Suppose -2*h + 5*x = -0*h + 10, -h + 2*x - 3 = 0. Suppose -4*d - 35 = -3*j, 3*j - 6*j + 38 = -d. Let f = -13 + j. Solve h*l + 14 + 1 = f for l.
-3
Let t(r) = r**2 - 4*r + 10. Let f be t(4). Solve -j - 4*j = f for j.
-2
Let f = -6 - -6. Solve f = -0*u + u - 4 for u.
4
Let g = 203 - 198. Solve 0 = 2*k - k - g for k.
5
Suppose -s = s + 8. Let o(n) = n**2 + 4*n. Let c be o(s). Let m(l) = -l + 12. Let b be m(7). Solve b*x = -c*x + 5 for x.
1
Let o = -35 + 41. Solve 0 = -b - 2*b - o for b.
-2
Let c = -13 + 15. Solve -12 = c*p - 6*p for p.
3
Let t = 5 - 1. Solve -6*q = -2*q + t for q.
-1
Let x(z) = z**2 + 31*z + 34. Let s be x(-30). Solve 3*b + 2 = s*b for b.
2
Suppose 2*v + 0*v = 5*a + 29, 4*v = 4*a + 88. Let u be 40/18 - 6/v. Suppose -3*t - 25 = -5*t + 5*c, 10 = -5*t - 2*c. Solve 4*b + 10 - u = t for b.
-2
Let l = -46 - -51. Let t be (-4)/(-6) + 4/3. Solve t = g + l for g.
-3
Suppose 0 = -z - 2*j + 9, -8*z + 5*z = j - 12. Solve 5 = -z*w - 7 for w.
-4
Let f be (-2)/7 - 58/(-7). Let c be ((-12)/8)/((-1)/2). Suppose -10 = -c*u + 5. Solve -u*i = -f*i - 9 for i.
-3
Let q be 9 + -4 + -7 + (-4)/(-1). Solve q*u = -u for u.
0
Suppose -2*m = 2*v - m - 12, 0 = -4*v - m + 24. Let f be (v/(-10))/(1/(-5)). Suppose p = 4, 2*i - p + f*p = 14. Solve i*j = 4*j + 1 for j.
-1
Let y = -7 + 14. Let l(k) = -2*k + 17. Let d be l(y). Solve 6 = d*m + 21 for m.
-5
Let l be (-1)/4 + ((-5)/(-20))/1. Solve -4*v + 2*v - 6 = l for v.
-3
Let h(j) be the first derivative of 3/2*j**2 + 4 - 5*j. Let l be h(5). Solve -3*x = -x + l for x.
-5
Suppose -22*l + 17*l = -60. Solve 0 = -5*u + 13 + l for u.
5
Let f = -8 + 7. Let r be (16 + -4)*f/(-2). Solve 3*d + r = 5*d for d.
3
Let j(s) = s**2 + 7*s - 2. Let h be j(-6). Let y be (-10)/h*(0 + 4). Solve 0 = -0*v - y*v - 10 for v.
-2
Let x be 4/(-6) + (2 - 12/(-18)). Solve 10 = -4*p + x*p for p.
-5
Let r(z) = z**3 - 5*z**2 - 6*z + 3. Let s be r(6). Let k = -1 + s. Suppose -6 = -4*t + 18. Solve 0*a = -k*a - t for a.
-3
Let d(n) = 5 + 2*n - 3 - 1 - 2*n**2 - n**3. Let u be d(-3). Solve 4*q + u = 16 for q.
3
Let j = 2 + -2. Solve j*o + 6 = -2*o for o.
-3
Let f(s) be the first derivative of -s**2/2 - 3*s - 4. Let d = -9 - -6. Let t be f(d). Solve t = -2*c - 1 - 3 for c.
-2
Let n be (8/(-6))/(8/(-12)). Suppose 17 + 7 = -3*f. Let z(x) = x**3 + 8*x**2 + x + 10. Let y be z(f). Solve n*b = -y*b for b.
0
Suppose 3*r + 15 = 24. Suppose 2*v = -2*v + 32. Solve v*s = r*s - 15 for s.
-3
Let q be ((-3)/(-6)*2)/((-2)/(-6)). Solve q*c = 1 + 14 for c.
5
Let g = -26 - -29. Solve -15 = g*a - 0*a for a.
-5
Let o(i) = 4*i**2 - i. Let w(z) be the second derivative of -z**4/12 - 2*z. Let h(t) | {
"pile_set_name": "DM Mathematics"
} |
ed to the nearest 100?
5100
What is -83045.219 rounded to the nearest 10?
-83050
What is -0.00294095 rounded to three dps?
-0.003
Round -7.332213 to zero decimal places.
-7
Round -0.0035505193 to four decimal places.
-0.0036
What is -543.202 rounded to the nearest 10?
-540
What is 3.01538 rounded to 1 decimal place?
3
Round 0.000101978 to 6 decimal places.
0.000102
What is 1143691 rounded to the nearest ten thousand?
1140000
Round -0.00000677152 to six dps.
-0.000007
What is -14.845198 rounded to the nearest integer?
-15
What is 14477440.5 rounded to the nearest 1000000?
14000000
Round -0.00007961286 to 6 decimal places.
-0.00008
What is -0.0000011553917 rounded to 7 dps?
-0.0000012
Round 1085.9 to the nearest 100.
1100
Round -0.4856136 to two decimal places.
-0.49
What is 22.54887 rounded to 1 dp?
22.5
Round -315820550 to the nearest one million.
-316000000
Round 1323338.2 to the nearest 100000.
1300000
Round -95898750 to the nearest 10000.
-95900000
What is 0.0000060093 rounded to five dps?
0.00001
What is -72.2907 rounded to one decimal place?
-72.3
What is 87327.5 rounded to the nearest one thousand?
87000
Round 15.1493 to the nearest integer.
15
Round -0.03539533 to 2 dps.
-0.04
Round -0.0004604922 to 4 decimal places.
-0.0005
What is -0.000361272 rounded to 4 decimal places?
-0.0004
Round 517756.7 to the nearest 1000.
518000
Round -1115.35 to the nearest one thousand.
-1000
What is 6.50172 rounded to one decimal place?
6.5
Round 887368.4 to the nearest one thousand.
887000
What is -75.1628 rounded to the nearest ten?
-80
What is 622.561 rounded to the nearest 100?
600
Round 24429.55 to the nearest ten thousand.
20000
What is -19542.28 rounded to the nearest ten?
-19540
What is -260274.3 rounded to the nearest one thousand?
-260000
Round -538594 to the nearest 1000.
-539000
Round 14630.989 to the nearest one thousand.
15000
Round -2513.886 to the nearest one thousand.
-3000
What is -1.24796 rounded to 0 decimal places?
-1
Round 10344.35 to the nearest one thousand.
10000
Round 0.0001647533 to seven decimal places.
0.0001648
Round 30.5398 to zero dps.
31
Round -0.002556796 to 6 dps.
-0.002557
What is -0.0046883 rounded to four dps?
-0.0047
Round 0.07999291 to five dps.
0.07999
Round 0.0009697436 to four dps.
0.001
What is 19239150 rounded to the nearest 100000?
19200000
What is 2522.56 rounded to the nearest one hundred?
2500
What is 0.0000029441435 rounded to 7 decimal places?
0.0000029
Round -50.79794 to two decimal places.
-50.8
What is -24.84594 rounded to the nearest ten?
-20
What is -106529 rounded to the nearest 1000000?
0
Round 0.03940002 to four decimal places.
0.0394
What is -309.60344 rounded to the nearest integer?
-310
What is -0.001770686 rounded to 5 dps?
-0.00177
Round -0.152984 to 1 dp.
-0.2
Round -5417298 to the nearest ten thousand.
-5420000
Round 0.0007995565 to six dps.
0.0008
What is 171168 rounded to the nearest 10000?
170000
Round -9456580 to the nearest 100000.
-9500000
What is 125545.8 rounded to the nearest 100000?
100000
Round -86506500 to the nearest one million.
-87000000
What is -14688760 rounded to the nearest 10000?
-14690000
What is 30960500 rounded to the nearest 1000000?
31000000
Round 11018.96 to the nearest 100.
11000
Round 0.025636 to 3 decimal places.
0.026
Round -38147000 to the nearest 1000000.
-38000000
Round 0.00019666227 to seven decimal places.
0.0001967
What is 3.59935 rounded to two decimal places?
3.6
Round 0.0002283198 to 5 decimal places.
0.00023
What is 1375326.8 rounded to the nearest one thousand?
1375000
What is -20442400 rounded to the nearest one million?
-20000000
Round 1.00991 to 1 decimal place.
1
What is -213404.89 rounded to the nearest ten thousand?
-210000
What is -0.0708442 rounded to 2 dps?
-0.07
Round 468.4464 to the nearest ten.
470
Round -2167500 to the nearest one thousand.
-2168000
What is -272416500 rounded to the nearest one hundred thousand?
-272400000
Round 121.0982 to the nearest 10.
120
Round 173.83441 to the nearest integer.
174
What is 350.095 rounded to the nearest 10?
350
What is -2285.73 rounded to the nearest one hundred?
-2300
What is -0.0772076 rounded to four decimal places?
-0.0772
Round 0.00002174859 to 6 decimal places.
0.000022
Round 51937.46 to the nearest 1000.
52000
Round 0.6073046 to 3 decimal places.
0.607
Round -0.00000038474277 to seven dps.
-0.0000004
Round 0.633723 to one decimal place.
0.6
Round -30186950 to the nearest one million.
-30000000
What is 204848100 rounded to the nearest 100000?
204800000
What is -7107830 rounded to the nearest 100000?
-7100000
What is 0.00001954814 rounded to seven dps?
0.0000195
What is -12087.36 rounded to the nearest 10?
-12090
What is -0.001050386 rounded to 5 dps?
-0.00105
Round -158478.8 to the nearest ten thousand.
-160000
What is -0.000216946 rounded to 5 decimal places?
-0.00022
What is -0.00304087 rounded to four dps?
-0.003
What is -13.22268 rounded to the nearest integer?
-13
Round -7466625000 to the nearest one million.
-7467000000
Round -286.5508 to the nearest 10.
-290
Round -419086300 to the nearest 1000000.
-419000000
Round -0.0000851671 to 5 dps.
-0.00009
Round 40346.5 to the nearest ten thousand.
40000
Round -735.929 to the nearest 100.
-700
Round 5267129 to the nearest ten thousand.
5270000
Round 477038.2 to the nearest one hundred thousand.
500000
What is -29228.35 rounded to the nearest ten?
-29230
Round 0.1616312 to three decimal places.
0.162
Round 0.03173198 to 5 dps.
0.03173
What is 0.43720591 rounded to 4 decimal places?
0.4372
What is -0.0000223139 rounded to 5 decimal places?
-0.00002
Round 2451562.4 to the nearest 1000.
2452000
Round -90022000 to the nearest 100000.
-90000000
Round 18.57833 to 2 decimal places.
18.58
What is 70.176563 rounded to one dp?
70.2
Round -0.935628 to three dps.
-0.936
Round -619022 to the nearest one hundred thousand.
-600000
What is 22109603 rounded to the nearest one hundred thousand?
22100000
What is 484523.5 rounded to the nearest one hundred thousand?
500000
Round 0.2178765 to 3 decimal places.
0.218
Round -10463141 to the nearest ten thousand.
-10460000
What is 219871 rounded to the nearest one thousand?
220000
Round -1139344 to the nearest one hundred thousand.
-1100000
Round 15.741822 to 1 dp.
15.7
Round 0.03509503 to 5 decimal places.
0.0351
Round 6.233028 to the nearest ten.
10
Round 0.0464111 to four dps.
0.0464
Round -0.0004719 to three dps.
0
What is 0.00010643 rounded to five decimal places?
0.00011
Round -1.389306 to 1 decimal place.
-1.4
Round 1436982.7 to the nearest 100000.
1400000
Round -261.71183 to the nearest integer.
-262
What is 287.9485 rounded to zero decimal places?
288
Round -3688000 to the nearest one hundred thousand.
-3700000
What is 5763950 rounded to the nearest 1000000?
6000000
What is -1240800 rounded to the nearest 10000?
-1240000
Round -463.635 to 0 dps.
-464
Round 0.03423381 to 3 decimal places.
0.034
Round 38.6072 to the nearest 10.
40
Round -3476.0892 to the nearest 10.
-3480
Round -212628.5 to the nearest one thousand.
-213000
Round -0.118604 to three decimal places.
-0.119
What is -34.352504 rounded to 1 decimal place?
-34.4
What is 747408000 rounded to the nearest one million?
747000000
Round 1838939.2 to the nearest ten thousand.
1840000
Round -0.004230467 to 6 dps.
-0.00423
What is -4.442242 rounded to the nearest integer?
-4
Round 0.00000198416 to 7 decimal places.
0.000002
Round -0.0000388227 to 5 decimal places.
-0.00004
Round 16982677 to the nearest one million.
17000000
Round 26325300 to the nearest one million.
26000000
What is -138747200 rounded to the nearest 1000000?
-139000000
What is 80.7103 rounded to the nearest 10?
80
Round -757672000 to the nearest 1000000.
-758000000
What is 513454.9 rounded to the nearest 1000?
513000
Round 129378.8 to the nearest 10000.
130000
Round 0.001258701 to six decimal places.
0.001259
What is 0.27344946 rounded to four decimal places?
0.2734
Round 4606562000 to the nearest 1000000.
4607000000
Round 0.0595654 to two dps.
0.06
What is 0.001871693 rounded to 5 dps?
0.00187
What is 0.305638 rounded to two dps?
0.31
Round 456432000 to the nearest 1000000.
456000000
Round -181.0686 to one dp.
-181.1
Round -18.919 to one dp.
-18.9
Round -5337.5586 to the nearest 10.
-5340 | {
"pile_set_name": "DM Mathematics"
} |
- 423 wrt x?
-534998
Differentiate 20742*d*o**4 - 1801857*d with respect to o.
82968*d*o**3
What is the second derivative of 8452*n**5 - 13347*n?
169040*n**3
Find the second derivative of -320171*p**2 + 23629*p + 2 wrt p.
-640342
What is the third derivative of 434*d**3*x**3*z**3 + 5*d**3*x**3 + 3*d**2*x**3 - 2*d**2*x*z**2 + 36*d**2*x - 2*d*x**3 - 2*d*x*z**3 wrt d?
2604*x**3*z**3 + 30*x**3
What is the first derivative of 9802*g**4 + 95*g**3 + 716286 wrt g?
39208*g**3 + 285*g**2
Differentiate -69282*x**2 + 38273 with respect to x.
-138564*x
What is the second derivative of -d**3 + 8385*d**2*n + 2*d**2 + 143*d*n + 2*d - 2*n + 8 wrt d?
-6*d + 16770*n + 4
What is the first derivative of -p*t*u**2 - 4*p*t - 1199*p*u - 2*p - 178*t - 204*u**2 + 45 wrt u?
-2*p*t*u - 1199*p - 408*u
What is the third derivative of 55*b**6 + 6*b**5 - b**4 + 3*b**2 - 29*b - 20 wrt b?
6600*b**3 + 360*b**2 - 24*b
Find the first derivative of 2769*j**3*k**2 - 74439*j**3 - 2*k**4 + 4*k**3 wrt k.
5538*j**3*k - 8*k**3 + 12*k**2
Find the first derivative of 2*g*n**4 + 48*g*n + 11*g - 4*n**3*z + 739*z wrt n.
8*g*n**3 + 48*g - 12*n**2*z
Find the second derivative of -6832*j**4 - 408*j + 50 wrt j.
-81984*j**2
Differentiate -822384*w**2 + 589963.
-1644768*w
Differentiate 9047*j - 5550 wrt j.
9047
Find the first derivative of -22536*i + 23357.
-22536
Differentiate -f**2*i + 2*f**2 - 312806*f*i + 2*f - 3443260*i with respect to f.
-2*f*i + 4*f - 312806*i + 2
What is the second derivative of 44*d**4*r - 56*d**4 - d**3*r + 20*d*r + 5*d + 2*r + 2 wrt d?
528*d**2*r - 672*d**2 - 6*d*r
What is the derivative of 714*h**2*w*y + 54*h**2*w + 29*h*w - 5*h*y**3 + 2*w*y**2 wrt y?
714*h**2*w - 15*h*y**2 + 4*w*y
What is the derivative of 616*j**2*k**2 + 6*j*k**2 - 8846*k**2 - 4*k wrt j?
1232*j*k**2 + 6*k**2
Find the third derivative of -52601*p**3 + 1776*p**2 + 2*p - 3 wrt p.
-315606
Find the third derivative of -23*r**4 - 148*r**3 - 3*r**2 + 4*r - 10 wrt r.
-552*r - 888
Differentiate -135*p**3*r**4 - 33*p**3 + 17*p*r**2 - 2093 with respect to r.
-540*p**3*r**3 + 34*p*r
What is the third derivative of 109394*k**3 - 73633*k**2 wrt k?
656364
What is the third derivative of -1365*g*h**4*r - 2*g*h**4 + 2*g*h*r + 23*g*r + 29*h**3*r + 3*h**2*r - 3*r wrt h?
-32760*g*h*r - 48*g*h + 174*r
What is the first derivative of 305*s**4 - s**2 + 7489?
1220*s**3 - 2*s
Find the third derivative of -5381*a**3 - 3*a**2 + a + 64 wrt a.
-32286
What is the second derivative of -479*a**2*d**2*i - a**2*d*i*s + 8*a**2*i + 31*a*d**2*s + 3*a*d*i*s - 2*a*d*s + 33*d**2*i wrt a?
-958*d**2*i - 2*d*i*s + 16*i
Find the second derivative of -11*r**5*w**3 - 81426*r**2*w**3 + 875*r*w**3 - 817*r*w**2 wrt r.
-220*r**3*w**3 - 162852*w**3
Find the first derivative of 1237*f**4*n + 7*f**4 + 1349*n + 3 wrt f.
4948*f**3*n + 28*f**3
What is the second derivative of 15876*c**2 - 39655*c wrt c?
31752
Find the second derivative of 8*i**2*q**3*z + 83*i**2*q**2*z**2 - i*q**2*z**2 + 37*i*q**2 + 2*i*z + 43*q**3*z wrt i.
16*q**3*z + 166*q**2*z**2
What is the second derivative of 5*i**2*u + 138*i**2 - 455*i*u - 2*i - 16*u wrt i?
10*u + 276
What is the third derivative of 2*d**3*l**2*z**2 - 2791*d**3*l**2 - 2*d**2*l**2*z**2 - 25*d**2*l*z - 3*d*l**2*z**2 - l*z wrt d?
12*l**2*z**2 - 16746*l**2
What is the first derivative of 13*f**2*m - f**2*u + 8*f**2 - 3*f*m - 20*f*u + 796*m*u + 104*m - u + 1 wrt u?
-f**2 - 20*f + 796*m - 1
Find the first derivative of -400960*a + 311752 wrt a.
-400960
Find the first derivative of 230*v**2 + 1493*v + 1327459.
460*v + 1493
What is the third derivative of 5*r**5 - 27*r**4 + 572*r**3 - 3*r**2 + 159360 wrt r?
300*r**2 - 648*r + 3432
Differentiate 53*f**2*g + 23*f**2*y + f*g*y - 4*f*y + g*y - 11*g - 2*y with respect to g.
53*f**2 + f*y + y - 11
What is the derivative of -5427320*c + 4110179?
-5427320
What is the second derivative of -1163*g**2*w**2 - 6*g**2 + 5573*g*w**2 + 5*g wrt g?
-2326*w**2 - 12
Differentiate h**3 + 549631*h**2 + h - 1431201 with respect to h.
3*h**2 + 1099262*h + 1
What is the first derivative of n**3 + 100364*n**2 + 473883?
3*n**2 + 200728*n
What is the first derivative of -31*p*r**2 - 46*p*r - 142826*p + r**3 + 2*r wrt r?
-62*p*r - 46*p + 3*r**2 + 2
What is the third derivative of 7366724*z**3 - 1850074*z**2?
44200344
Differentiate 531734*a**4 + 1896377.
2126936*a**3
Differentiate 18*q*z - 301561*q - 7407*z with respect to z.
18*q - 7407
What is the second derivative of -3*a*c**3*z**2 + 35*a*c**3*z - a*c**3 - 5829*a*c*z**3 - 2*a*z**2 + 2*a*z - 3*c**3*z + 24*z wrt z?
-6*a*c**3 - 34974*a*c*z - 4*a
Differentiate -3*f**2*s - 3*f**2 - s**3 + 1308*s**2 + 7736 wrt s.
-3*f**2 - 3*s**2 + 2616*s
What is the third derivative of -2*t**4 - 71425*t**3 + 242*t**2 - 935 wrt t?
-48*t - 428550
Find the second derivative of 2*b**2*w**2*z - 17*b**2*w*z + 37*b**2*z - 4*b**2 + 40*b*w**2*z + 1366*b*w**2 - 2*b*w*z wrt b.
4*w**2*z - 34*w*z + 74*z - 8
Find the third derivative of 528406*v**6 + 678582*v**2 - 1 wrt v.
63408720*v**3
Find the third derivative of -3*p**2*v**4 - 12186*p**2*v**3 + 2*p**2*v - 3*p**2 - 15084*p*v**2 wrt v.
-72*p**2*v - 73116*p**2
Find the second derivative of 406*n**2*v**2 + 29*n**2*v*x**3 - 5537*n*v**2 - 2*n*v*x**3 - 9*n*x**2 wrt n.
812*v**2 + 58*v*x**3
Differentiate 13512*z + 21620.
13512
Differentiate -23383*p - 15878 with respect to p.
-23383
What is the third derivative of 777133*u*w**3 + 4*u*w**2 + 42*u*w + w**2 - 4*w + 1 wrt w?
4662798*u
Find the second derivative of -3*f*h**4 - 8447*f*h**2 - 3255*f - 2*h - 3 wrt h.
-36*f*h**2 - 16894*f
Find the third derivative of -118884*c**4 - 4*c**2 + 16868.
-2853216*c
What is the second derivative of -3*d**4 - 14*d**3 + 168*d**2 - 3*d + 6634 wrt d?
-36*d**2 - 84*d + 336
Find the second derivative of -f**2*s**2 - 3042*f**2*s - 6*f**2 - 4*f*s**2 + 3*f*s - 792*s**2 wrt s.
-2*f**2 - 8*f - 1584
What is the second derivative of -5*m**4 - 89*m**3 - 220*m - 44 wrt m?
-60*m**2 - 534*m
What is the third derivative of 3*h**6 - 91903*h**4 - 4*h**2 - 3*h - 651 wrt h?
360*h**3 - 2205672*h
What is the derivative of 349049*k**4 - 250341 wrt k?
1396196*k**3
Differentiate 3434*f*m**2*y**2 + 183*f*m**2 - 100*m**2*y**2 - 175*y**2 - 21*y wrt f.
3434*m**2*y**2 + 183*m**2
Find the second derivative of -7742*s*v**2 - 127*s + 74*v**4 + 2*v**3 - 5652*v wrt v.
-15484*s + 888*v**2 + 12*v
Find the first derivative of -20*a**4 - 12104*a**2 + 200196.
-80*a**3 - 24208*a
What is the third derivative of -1600593*o**3 + 1043671*o**2?
-9603558
Find the second derivative of -3585*l**5 + 18*l**4 - 19232*l.
-71700*l**3 + 216*l**2
Differentiate -2*c*t**3 + 4520*c*t**2 + 19*c - 21*t**3 + 32413 with respect to t.
-6*c*t**2 + 9040*c*t - 63*t**2
What is the first derivative of -33535*c*g - 939*c*h - 20*g*h wrt h?
-939*c - 20*g
What is the third derivative of -220*m**4 + 1261*m**3 - 9285*m**2 + 3*m + 1 wrt m?
-5280*m + 7566
Differentiate 2*j**3 - 55*j**2*p - 1050*j**2 - j*p - p - 44417 with respect to j.
6*j**2 - 110*j*p - 2100*j - p
What is the derivative of 1272*a*w**3 - 7*a*w + 10*a + 28*w**3 + 10229*w**2 wrt a?
1272*w**3 - 7*w + 10
Find the third derivative of 89750*z**4 + 22*z**2 - 30*z - 16.
2154000*z
Find the third derivative of -k**6 + k**5 + 47662*k**3 - k**2 + 138*k + 158.
-120*k**3 + 60*k**2 + 285972
What is the second derivative of -t**4 - 47*t**3 - 26*t**2 + 60028*t?
-12*t**2 - 282*t - 52
Find the third derivative of 2692678*a**3 - 2219321*a**2.
16156068
Differentiate -16*h**2*q**2 - 2*h**2*v - 3*h**2 + 4*h*q*v + 3*h*v - 7140*q**2 - 17076*v + 1 wrt q.
-32*h**2*q + 4*h*v - 14280*q
What is the third derivative of 4133*r**5 + 19*r**3 + 159188*r**2?
247980*r**2 + 114
What is the second derivative of -113335*t**3 + 71*t - 70 wrt t?
-680010*t
What is the first derivative of -76528*m**2*x - m**2 + 412*m + 13 wrt x?
-76528*m**2
What is the derivative of -104*n**3*x**2 - 32*n**3 - 13*x**2 - x + 1993 wrt n?
-312*n**2*x**2 - 96*n**2
What is the derivative of 291*d**2 - 34*d*y**3 + 58*d*y**2 - 5*y**3 + 117073*y**2 - 3*y wrt d?
582*d - 34*y**3 + 58*y**2
Find the third derivative of 1081042*x**4 - 61684*x**2 + 1.
25945008*x
What is the third derivative of -2887*k**5 + 20*k**3 + 317460*k**2?
-173220*k**2 + 120
What is the first derivative of -2*j**3 + 3*j**2 - 3158*j + 24091?
-6*j**2 + 6*j - 3158
Wh | {
"pile_set_name": "DM Mathematics"
} |
the terms in -191*p**3 + 308*p**3 - 120*p**3.
-3*p**3
Collect the terms in 791 + 2*q**2 - 791.
2*q**2
Collect the terms in 322*s - 5 + 3 + 0.
322*s - 2
Collect the terms in -18*f**2 - 248*f + 16*f**2 + 248*f.
-2*f**2
Collect the terms in -4*d**3 - 13*d**2 + 13*d**2 + 3*d**3.
-d**3
Collect the terms in -221*a**2 + 69*a**2 + 79*a**2 + 70*a**2.
-3*a**2
Collect the terms in -10*v + 15*v - 2*v + 0*v.
3*v
Collect the terms in -199*i**3 + 111*i**3 + 85*i**3.
-3*i**3
Collect the terms in -6*l + 0*l + 21*l.
15*l
Collect the terms in -6*j**2 - 33*j**2 - 3*j**2.
-42*j**2
Collect the terms in 46*w + 1 - 2 + 159*w - 31*w.
174*w - 1
Collect the terms in 176*b**2 - 217*b**2 - 641*b**2.
-682*b**2
Collect the terms in k**2 + 2*k**2 + k**2 - 7*k**2.
-3*k**2
Collect the terms in 3*i**3 - 50*i**2 + 25*i**2 + 25*i**2.
3*i**3
Collect the terms in -4*u**2 + 68*u - 68*u - 2*u**2 + 4.
-6*u**2 + 4
Collect the terms in -v**2 + 601*v - 601*v.
-v**2
Collect the terms in 9*k**2 + 173*k - 173*k.
9*k**2
Collect the terms in -13*s + 9*s + 2*s - 2*s.
-4*s
Collect the terms in 27*h + 42*h + 35*h.
104*h
Collect the terms in -2*l**2 + 18*l + 5*l - 23*l.
-2*l**2
Collect the terms in -226*o**2 - 226*o**2 + 456*o**2.
4*o**2
Collect the terms in -3*r + 5*r - 2*r + 5*r**3.
5*r**3
Collect the terms in 96*z**3 - 35*z**3 - 64*z**3.
-3*z**3
Collect the terms in -6 + 4*b**3 - 4 - 10.
4*b**3 - 20
Collect the terms in 30435*f + 30416*f - 60850*f.
f
Collect the terms in 10*o + o + 33 - 33.
11*o
Collect the terms in 8*f + 4 - 13*f - 3.
-5*f + 1
Collect the terms in 15*a**3 + 12*a**3 + 10*a**3 - 39*a**3.
-2*a**3
Collect the terms in -6*s - 11*s + 19*s.
2*s
Collect the terms in 11 - 5 - 2 - n**3.
-n**3 + 4
Collect the terms in 19*x**2 - 61*x + 61*x - 2*x**2.
17*x**2
Collect the terms in -49*n**2 + 80*n**2 - 48*n**2.
-17*n**2
Collect the terms in -1453 - 7*t + 1453 + 14*t - 5*t.
2*t
Collect the terms in 1 + 12*y - 87*y - 1.
-75*y
Collect the terms in v**3 - 8*v**3 + 3*v**3 - 6*v**3.
-10*v**3
Collect the terms in -39*t - 35*t - 25*t.
-99*t
Collect the terms in -25*s + 3 - 4 + 1.
-25*s
Collect the terms in 1 - 73*g**2 + 80*g**2 - 1.
7*g**2
Collect the terms in -5*d**2 + 2*d**2 - d**2 + 2*d**2 + d**2.
-d**2
Collect the terms in -9*l - 12*l - 3*l + 3*l.
-21*l
Collect the terms in 21*g**3 - 19*g**3 + 2*g**2 - 2*g**2.
2*g**3
Collect the terms in 310*p**3 - 78*p**3 + 13*p**3.
245*p**3
Collect the terms in -22*l - 9 + 20*l + 9.
-2*l
Collect the terms in 6*f - 31 + 64 - 33.
6*f
Collect the terms in -60*s + 12*s - 83*s + 13*s.
-118*s
Collect the terms in -12*x - 42847 + 42847.
-12*x
Collect the terms in 14*t + 9*t**2 - 15*t + 13*t + 30*t.
9*t**2 + 42*t
Collect the terms in 146*c**2 - 73*c**2 - 72*c**2.
c**2
Collect the terms in -693*b + 363*b + 328*b.
-2*b
Collect the terms in -70*y**2 + 263*y**2 - 92*y**2 - 84*y**2.
17*y**2
Collect the terms in 2*t**2 - 93 - 94 + 275 - 88.
2*t**2
Collect the terms in -29460*a - a**3 - 1 + 29460*a + 1.
-a**3
Collect the terms in 26*b + 0*b + 7*b - 4*b.
29*b
Collect the terms in q + 0*q - 4*q.
-3*q
Collect the terms in 1032 + 33*o**3 - 34*o**3 - 1032.
-o**3
Collect the terms in 54*q**2 - 103*q**2 + 57*q**2.
8*q**2
Collect the terms in 3*l - 7*l + 3*l - 2*l.
-3*l
Collect the terms in -p + 11*p + 10*p - 7*p.
13*p
Collect the terms in -15*f**2 + 0*f**2 - 12*f**2.
-27*f**2
Collect the terms in -6*m - m - 4*m + 13*m.
2*m
Collect the terms in -30*g**3 + 1838 - 1838.
-30*g**3
Collect the terms in 3*w + 9*w - 77 + 77 - 9*w.
3*w
Collect the terms in -235 + 235 - 79*k**2.
-79*k**2
Collect the terms in 6 + 1355*m**2 - 44*m**2 - 6.
1311*m**2
Collect the terms in 0*q**2 - 8*q**2 + 0*q**2 + 4*q**2.
-4*q**2
Collect the terms in 3*v - 3*v + 56*v**3 - 59*v**3.
-3*v**3
Collect the terms in -374*k + 3 - 41*k - 3.
-415*k
Collect the terms in 7*m**2 + 2*m**2 - 3*m**2 + 18*m**2.
24*m**2
Collect the terms in 10 - 20 + 10 + 367*q**2 - 371*q**2.
-4*q**2
Collect the terms in -11*i**2 - 11*i + 11*i.
-11*i**2
Collect the terms in -3*m**2 + 7*m**2 + 7*m**2 - 3*m**2.
8*m**2
Collect the terms in -53*q**3 + 11*q**3 - 73*q**3.
-115*q**3
Collect the terms in 36645*k**2 + 0 - 2*k**3 + 0 - 36645*k**2.
-2*k**3
Collect the terms in 30*z**3 + 74*z**3 - 13*z**3.
91*z**3
Collect the terms in o + 6*o - 9*o.
-2*o
Collect the terms in -32*q**3 + 88*q**3 - 42*q**3.
14*q**3
Collect the terms in 65*z**3 - 5*z + 80*z**3 + 5*z.
145*z**3
Collect the terms in -3*f + 49 - 49 + 9*f.
6*f
Collect the terms in -335*p + 161*p + 171*p.
-3*p
Collect the terms in 16 + 29*a - 4 - 12.
29*a
Collect the terms in 4*m**2 - 161*m + 81*m + 80*m.
4*m**2
Collect the terms in 6*l**2 + 33*l**2 - 2*l**2.
37*l**2
Collect the terms in 15 + 12*f**2 - 8 - 7.
12*f**2
Collect the terms in 14*o - 68*o**3 - 14*o.
-68*o**3
Collect the terms in -816*q + 274*q + 4*q**3 + 267*q + 275*q.
4*q**3
Collect the terms in -13*c**2 + 31*c**2 - 3*c**2.
15*c**2
Collect the terms in 5 - 8 + 45*u**3 + 3.
45*u**3
Collect the terms in -10*k + 2 - 4 + 2.
-10*k
Collect the terms in 17*k**2 - 24*k**3 + 11*k**2 - 28*k**2.
-24*k**3
Collect the terms in 66*l**3 - 60*l**3 - l + l.
6*l**3
Collect the terms in -106*c**2 + 4*c**3 + 17*c**2 - c**3 - 4*c**3.
-c**3 - 89*c**2
Collect the terms in 10*w**2 - 3*w**2 + 4*w**2.
11*w**2
Collect the terms in 50*z**3 + 2*z**2 - 2*z**2.
50*z**3
Collect the terms in 43*l - 102*l + 1 + 2 + 38*l.
-21*l + 3
Collect the terms in 45*y**3 - 9*y**3 + 6*y**3.
42*y**3
Collect the terms in -2*f**2 + 304670*f - 304670*f.
-2*f**2
Collect the terms in -15*c**2 - 10*c**2 - 52*c**2.
-77*c**2
Collect the terms in 52*u**3 - 171*u**3 - 104*u**3.
-223*u**3
Collect the terms in -15683*v + 0*v**2 + 15683*v + 4*v**2.
4*v**2
Collect the terms in 120 - 120 + 26*h.
26*h
Collect the terms in -10*x - 10*x + 19*x.
-x
Collect the terms in -404 - 33*o + 404 + 17*o + 17*o.
o
Collect the terms in 6*p + 141 - 141.
6*p
Collect the terms in -2988 + 4*c**3 + 0*c**3 + 5979 - 2991.
4*c**3
Collect the terms in 6*m**3 + 34*m - 18*m - 16*m.
6*m**3
Collect the terms in 13*q**2 + 7*q**2 - 18*q**2.
2*q**2
Collect the terms in 5*g + 27*g - 4*g + 0*g.
28*g
Collect the terms in 29 + 23 - 52 + h**3.
h**3
Collect the terms in 29*r - 1 - 3*r - 1.
26*r - 2
Collect the terms in -q - 3*q - 3*q**2 - q + 6*q**2.
3*q**2 - 5*q
Collect the terms in -42*i**2 + 95*i**2 - 12*i**2 - 12*i**2.
29*i**2
Collect the terms in 6*u + 206*u**2 - 194*u**2 - 6*u.
12*u**2
Collect the terms in -22*i - 18*i + 16*i.
-24*i
Collect the terms in -92*p - 91*p - 91*p - 94*p + 369*p.
p
Collect the terms in 4*a**3 - a**2 - 13 + a**2.
4*a**3 - 13
Collect the terms in -2 - 14 - 2 + 6*h**2.
6*h**2 - 18
Collect the terms in 10*x + 3*x - 20*x - 3*x + 7*x.
-3*x
Collect the terms in 12*l**2 - 8*l**2 - 5*l**2 + 1 - 1.
-l**2
Collect the terms in -10*w - 5398 + 5398.
-10*w
Collect the terms in 12800 - 6*s + 12804 - 25604.
-6*s
Collect the terms in 7*b - 20*b + 13*b + 44*b**2.
44*b**2
Collect the terms in 12*b**3 + 5 - 5 - 6*b**3.
6*b**3
Collect the terms in -34 - 24 + c - 30 + 88.
c
Collect the terms in -3*o - 4*o + 4*o.
-3*o
Collect the terms in 3*j + 2*j + 20*j**2 - 5*j.
20*j**2
Collect the terms in -195 - 185 + 94*l + 380.
94*l
Collect the terms in 4*f**3 - 432 + 207 + 225.
4*f**3
Collect the terms in 500 - 3*w + 486 - 986.
-3*w
Collect the terms in 4*u**2 - 13*u**2 - 103*u + 101*u.
-9*u**2 - 2*u
Collect the terms in -63*u**2 + 9*u**2 - 43*u**2 - 20*u**2 + u**3.
u**3 - 117*u**2
Collect the terms in -31 - 70 + 101 - 2*x.
-2*x
Collect the terms in -42*f**2 + 166*f**2 - 78*f**2 - 45*f**2.
f**2
Collect the terms in -759783 + 759783 + 6*x.
6*x
Collect the terms in 62*n**2 + 18*n - 37*n + 19*n.
62*n**2
Collect the terms in -74 + z - 54 + 128.
z
Collect the terms in -20*b**2 + 14*b**2 - 22*b**2 - 5*b.
-28*b**2 - 5*b
Collect the terms in -j**3 + 49*j**2 - 49*j**2 - 203*j.
-j**3 - 203*j
Collect the terms in -10 - 76*r + 10.
-76*r
Collect the terms in 8*w + 12*w - 20*w - 7*w**2.
-7*w**2
Collect the terms in -1 + 0*y - 1 + 0*y + 309*y**2.
309*y**2 - 2
Collect the terms in 2*u**2 - 3*u**2 - 5*u**2 + 7*u**2.
u**2
Collect the terms in -986*x**2 - 4 + 4.
-986*x**2
Collect the terms in -3 + 19 + 0*b + 0*b - b**3.
-b**3 + 16
Collect the terms in 9*n**2 - n + n.
9*n**2
Collect the terms in -4*q + 25*q - 20*q.
q
Collect the terms in -36*y**3 - 42* | {
"pile_set_name": "DM Mathematics"
} |
n + 11. Let t be x(6). Suppose -b - 18 = -t. Is b composite?
True
Let s be 4*(-4)/(-8) - -37. Let d = s + 208. Is d prime?
False
Suppose 1 + 11 = 4*s. Suppose -4*h - 30 = -3*d, -s*d - 5*h + 0 = -3. Is 9/d*1*4 a prime number?
False
Is 422/3*(-24)/(-16) a prime number?
True
Let j = -529 + 1266. Is j a prime number?
False
Let w = 59 - -53. Let x = w + -25. Is x a composite number?
True
Let a = -10 + 28. Let m = -3 + a. Suppose l = 2*l - m. Is l composite?
True
Let u be (-1)/(-3) - 42/(-9). Suppose -4*k + 751 = -h, -u*h + 871 - 325 = 3*k. Is k/5 - (-4)/(-10) prime?
True
Let s = 2 - -3. Suppose 0 = -s*q + 147 - 17. Is q a composite number?
True
Let b(f) = -f + 2. Let t be b(2). Suppose 29 = 2*o - 5*l, -2*o = -t*l + l + 1. Suppose o*h + 55 = 7*h. Is h composite?
False
Let m = 1 - -5. Suppose 0 = 5*j - 10, -m*j + j + 75 = 5*l. Is l composite?
False
Let m(q) = 3*q. Let h be m(1). Suppose h*p + 3*d = -0*d + 222, -3*p - 5*d + 220 = 0. Suppose -p = -4*r + r. Is r a prime number?
False
Suppose -l - 2 + 1 = 0. Let i be -1*(1 - (-1 - l)). Let x(g) = -38*g**3 + g**2 - g - 1. Is x(i) prime?
False
Suppose -5*l + 1378 + 7257 = 0. Is l composite?
True
Let v be 4/6*(-483)/(-2). Suppose j - x - 32 = 0, 5*x = 5*j + x - v. Is j composite?
True
Suppose 3812 = 2*i - 334. Is i prime?
False
Let z(a) = 22*a**2 + 2*a - 3. Let w = 2 + 0. Is z(w) a composite number?
False
Suppose z = 4*z - 414. Suppose 44 = 2*w - z. Is w prime?
False
Let n be (16/20)/((-1)/10). Let o(x) = -x**3 - 2*x**2 + x - 3. Is o(n) a prime number?
True
Let x be 3 + 7/((-14)/(-40)). Suppose 16 = w - x. Is w a prime number?
False
Suppose -4*a - 2*o = -398, -3*a + 2*o + 62 = -233. Let q = a - 62. Is q a composite number?
False
Is 4/(-3)*-3 - -2 prime?
False
Let c = -1 + 4. Suppose -4*i + 13 = -c. Suppose 9*t - 275 = i*t. Is t a composite number?
True
Let v(s) = -9*s. Let q be v(-1). Let k = q - -70. Is k composite?
False
Suppose -2*a + 3*q = -25 - 12, -17 = -a + q. Let r = 141 - a. Is r a composite number?
False
Suppose -4*v + 26 = -5*m, -2*v = 2*v - 2*m - 20. Suppose -4*u + 886 = -u - v*l, 3*l + 591 = 2*u. Let n = 421 - u. Is n a composite number?
False
Let k = -5 - 11. Is (-844)/k + (-1)/(-4) prime?
True
Let i = -252 - -478. Is i composite?
True
Let x(l) = -5*l. Let i be x(-1). Suppose i*v = -5*s + 165, -v + 160 = 3*v - 3*s. Is v composite?
False
Let y(n) be the first derivative of 6*n**3 - n**2 + n - 1. Let w(h) = -h**3 - h - 2. Let k be w(0). Is y(k) a composite number?
True
Suppose -4*w = 4*g - 232, 0 = -w + 4*g + 79 - 1. Is w composite?
True
Let c(w) = w**3 + 2*w**2 - 5*w - 4. Let v be c(-3). Suppose -f = v*f - 63. Is (f/(-6))/(2/(-4)) composite?
False
Let y(i) = -i**2 + 5*i + 4. Let w be y(6). Is (1/2)/(w/(-104)) a prime number?
False
Let w = -5 + 7. Is 105/2 + w/4 composite?
False
Let v(u) = 4*u**3 - 13*u**2 - 6*u - 1. Let n(p) = -p**3 + p**2. Let b(d) = -5*n(d) - v(d). Is b(-6) a composite number?
False
Suppose -n - 8 = n + 2*a, 5*n + 2*a + 8 = 0. Let y = 291 + -142. Is y/(-4)*(n - 4) prime?
True
Suppose 0 = 10*t - 307 - 1243. Is t a prime number?
False
Suppose -17*p + 14*p - 12 = 0, 4*h - p = 1072. Is h a composite number?
True
Let v(y) = 7*y + 11. Let d(w) = 7*w + 12. Let j(h) = 4*d(h) - 5*v(h). Suppose 4*z = z - 18. Is j(z) a prime number?
False
Let g be (-4)/(-22) - 39/33. Let m(c) = 1. Let t(x) = -4*x + 3. Let u(b) = g*t(b) + 2*m(b). Is u(2) prime?
True
Let v = 10 - 7. Suppose 4 = -o - v*o. Let g(d) = -58*d + 1. Is g(o) composite?
False
Suppose 5*v - 48 = 3*b - 281, 192 = -4*v + b. Let c = 0 - v. Let u = -30 + c. Is u prime?
True
Let c be (-1)/(-1) + (-3)/1. Is (356/4)/(3 + c) a prime number?
True
Suppose -5*k + 75 + 95 = 0. Suppose -5*i = -3*z - 275, 3*i + 2*z = 150 + k. Is i composite?
True
Let q = -35 - -73. Suppose -14 = -k + 3*w + q, 0 = -4*k + 5*w + 222. Is k/3 + 1/(-3) a prime number?
True
Is ((-17)/34)/((-2)/92) prime?
True
Let a(j) = j**2 + 13*j + 7. Let x(k) = k - 1. Let g(n) = a(n) - 4*x(n). Is g(-11) a composite number?
True
Suppose -5*b = z - 0*z - 25, 4*z = 0. Suppose 2*d - 2*a - 236 = -5*a, 5*d + b*a - 590 = 0. Is d a prime number?
False
Suppose -30 = 3*v + 2*v. Let m be (-1 - -37) + 4 + v. Let g = -23 + m. Is g prime?
True
Let n(w) = w**3 - 10*w**2 + 5*w - 2. Let d be n(7). Let s = d + 179. Is s a prime number?
False
Suppose -h + s = -4*h + 136, 0 = 5*h - s - 224. Let a be 4/((-129)/h - -3). Suppose 3*g + a = 183. Is g a composite number?
True
Suppose -8 = 3*m + 13. Let t(s) = -s**3 - 5*s**2 + 2*s + 5. Is t(m) a composite number?
False
Is (-2)/(-16) - (-178850)/112 prime?
True
Suppose -2*a = -0*a - 2314. Is a a composite number?
True
Suppose y + 2*y - 30 = 0. Is y/(-25) + (-132)/(-5) prime?
False
Let p(k) = 6*k**3 + 0*k**3 - 3 - 4*k**2 - 2*k**2 - 5*k**3 + 4*k. Is p(8) composite?
False
Let n be (3 + -2)/(1/10). Let f = -7 + n. Is f prime?
True
Let p = 2 + 0. Let i(d) = -3*d**p - 3 + 4*d**2 - 3*d + 2*d + 3*d. Is i(-10) composite?
True
Let x = -96 - -8. Suppose 274 = -p - p. Let v = x - p. Is v a prime number?
False
Let r(l) = 8*l**2 - 11*l + 4. Is r(-10) a composite number?
True
Suppose 2*b = b + o + 8, 0 = -3*b - 3*o + 6. Let r be (-6)/(-15) + 18/b. Suppose r*p - 259 = 89. Is p a prime number?
False
Suppose -3*w + 2*w = -2. Is 1995/28 + w/(-8) a prime number?
True
Let m be 3/15 - 93/15. Let n be (-6)/9*m + 1. Let y(i) = -i**3 + 4*i**2 + 6*i + 2. Is y(n) prime?
True
Let f be (1230/20)/(1/(-2)). Let l = f - -380. Is l composite?
False
Suppose 0 = 3*t + 182 + 91. Is 0/(-3) - t - 2 a composite number?
False
Suppose 0*a - 4*a = -32. Suppose 0 = 4*m - a. Suppose m*t - 25 = 13. Is t composite?
False
Suppose 9 = -4*b + 1, -5*d - 2*b + 341 = 0. Is d composite?
True
Suppose -4*a = -5 - 7. Suppose -2*o = -4*s - 426, 0 = 3*s + a - 0. Is o a prime number?
True
Let z(c) = -c**2 + 5*c + 3. Suppose 5*g = 2*g + 15. Let s be z(g). Suppose 5*b = -5*p + 36 - 1, -s*b + 2*p + 1 = 0. Is b a prime number?
True
Suppose -l - 23 = -144. Is l a composite number?
True
Suppose -12 = 2*b + 2*b. Let w be 1430/8 + b/(-12). Suppose 2*c - w = -21. Is c a prime number?
True
Let f(o) = -2*o. Let d be f(1). Let h be d*(-1)/(-4)*762. Is h*(0 + (-1)/3) prime?
True
Suppose 77 + 2031 = 4*j. Is j a composite number?
True
Let n(b) = 10*b**2 + b - 7. Is n(4) a prime number?
True
Suppose -q + 473 = -4*c, -3*c + 0 = -6. Is q composite?
True
Suppose -3*c + 17 = -4. Suppose 0 = 4*x - 60 + 44. Suppose -o + z + c = 0, 0*o - z - 28 = -x*o. Is o a prime number?
True
Let g be (-4)/(-8)*(1 - -19). Let l(n) = -n**2. Let y(m) = -7*m**2 + 12*m - 7. Let w(q) = -6*l(q) + y(q). Is w(g) a composite number?
False
Suppose 10 = 2*m - 0*m. Suppose 0 = 4*b - 0*y - 2*y - 6, m*b + 2*y - 12 = 0. Suppose -j = b*j - 159. Is j composite?
False
Let s = -3502 + 6111. Is s a prime number?
True
Suppose -2236 = -0*n - n + 3*f, 0 = -4*n - 2*f + 8874. Is n a composite number?
False
Let i(c) = 6*c - 11. Let k be i(-7). Is (k/(-2))/((-2)/(-20)) a prime number?
False
Let o = -239 - -159. Let k = o - -39. Let l = -4 - k. Is l a prime number?
True
Let s(p) = 111*p**2 - 4*p - 2. Is s(-1) a composite number?
False
Let u(o) = -7 - 2 + 14*o + o + 2*o. Is u(8) composite?
False
Let m = 529 - 333. Let w = m + -83. Is w a composite number?
False
Let p = -88 - -139. Is p composite?
True
Let h(g) = -3*g**3 - 2*g**2 + g - 2. Let b be h(-2). Is (-3358)/(-8) + (-9)/b a prime number?
True
Let v(j) = 3*j**3 + 2*j**2 + j - 79. Let d(c) = 4*c**3 + 3*c**2 + 2*c - 78. Let o(q) = -2*d(q) + 3*v(q). Let l be o(0). Is -1 + 2 - (l + -1) composite?
False
Suppose 2*u = 38 + 4. Let m = u - 13. Suppose -2*z - 2 + m = 0. Is z composite?
False
Let i = 1398 - 877. Is i composite?
False
Let m = -810 + 1331. Is m prime?
True
Let k(m) = m + 10. Let c be k(-16). Is 16/(-24) - 8890/c composite?
False
Suppose 5*p = 26 + 14. Let m = p + 47. Is m composite?
True
Suppose 0 = 3*y - 286 - 356. Is y prime?
False
Suppose -5*b + 20 = -3*b - 2*n, 0 = -2*b - n + 5. Suppose -b = 5*r - 180. Is r prime?
False
Let t = 1474 + -765. Is t a prime number?
True
Let l = 8 - 3. Suppose 250 = 3*s + l*f, -87 = -s - 0*f + 2*f. Is s a prime number?
False
Let r = -1297 + 2186. Is r a composite number?
True
Let f(g) = -g - 6. Let a be f(9). Let p be -1 - 1/(-1) - 29. Let u = a - p. Is u a composite number?
True
Let s | {
"pile_set_name": "DM Mathematics"
} |
- 1 - 3)*(f - f - f) - 2 + 2 - f.
25*f
Expand (-5*r + 5*r + 8411*r**2 + 1305*r**2)*(3*r - r - r).
9716*r**3
Expand (14*q - 9*q + 13*q)*(-3*q - q + q)*(-5 - 9 + 13 - 4*q).
216*q**3 + 54*q**2
Expand (-4591965*o**3 + 8*o**4 + 4591965*o**3 - 91)*(-1 + 1 + 2*o).
16*o**5 - 182*o
Expand (5192*v**4 - 10166*v**4 + 5279*v**4)*(8*v + 2*v + 10*v).
6100*v**5
Expand (2*i**3 + 2*i**2 - 2*i**2)*(3 - 3 + i) - 2*i**4 + 2*i**4 + 2*i**4 - 6218*i + 6218*i - 99*i**4 + (-1 + 1 - 2*i)*(i**3 + 0*i**3 + i**3).
-99*i**4
Expand (3 - 3 - 1)*(-12*r + 31*r + 3029 - 20*r + 1593)*(r**3 + 2*r**3 - r**3).
2*r**4 - 9244*r**3
Expand (-27*l**2 + 25*l**2 - 41*l**2)*(-2*l + l - 2*l)*(-2*l + 2*l - 2*l**2 + (2*l + 0 + 0)*(-3*l + l + 0*l) + 0*l**2 + 5*l**2 - 2*l**2).
-387*l**5
Expand (7*d**4 - 2*d**4 - 3*d**4)*(-6 + 213 + 31).
476*d**4
Expand (2 - 2 - 4*j**2)*(j - 2*j + 0*j)*((-j - 2*j + j)*(-4 + 5 - 2) + 46*j - 33*j + 49*j + (-2*j + 1 - 1)*(0 - 4 + 1)).
280*j**4
Expand (-2*r**2 + 3*r**2 + 0*r**2 - 1 + 2*r**2 + 1 + (4 + 2*r - 4)*(r - 4*r + r) - 3*r**2 + r**2 + r**2 - r**2 - 1 + 1)*(910*r**3 - 1101*r**3 - 1342*r**3).
4599*r**5
Expand (459*l + 1167*l - 220*l + (6*l - l - 3*l)*(-1 + 3 - 4) - 3*l + 2*l - l)*(-4*l**3 + 6*l**3 - l**3).
1400*l**4
Expand (-3*x**2 - 3*x**3 + 3*x**2)*(1 + 2*x - 1) + (-7709*x + 7709*x + 34*x**4)*(-6 + 1 + 3).
-74*x**4
Expand (1 - 1 - 1)*(-v**2 + 1 - 1) + (3 + 1 - 6)*(2 - 7 + 2)*(131*v**2 - 4*v - 126*v**2 + 6*v - 27).
31*v**2 + 12*v - 162
Expand (3 - 30*k + 25*k + 1)*(5*k - 3*k - 3*k + (-4*k - k - 8*k)*(3 - 5 + 0)).
-125*k**2 + 100*k
Expand (0*d**2 + 0*d**2 + 3*d**2)*(-797*d**3 + 380*d**3 + 270*d**3) + 0*d**4 + d**5 + 0*d**4 - 5*d**5 - d**5 + 5*d**5.
-441*d**5
Expand 2342907*r - 2342907*r + 45*r**4 + 2*r**5 + (-1 - 1 + 3)*(2*r**5 - 3*r**5 + 0*r**5).
r**5 + 45*r**4
Expand 8591 - 8591 - 2567*v + 4*v - 4*v - 2*v + (0 - 2*v + 0)*(3 - 4 + 3).
-2573*v
Expand (3*u**2 - 4*u**2 + 0*u**2)*(-2 + 2 - 2*u) + 4 + 11*u**3 - 5*u**3 - 9*u**3.
-u**3 + 4
Expand -6*b**4 - 2 + 2 + (-555*b**2 + 670*b - 670*b)*(-b + b + b**2) + 3*b**4 - 3*b**4 + 2*b**4.
-559*b**4
Expand -2869*t + 18152 - 18152 + 0 + 0 - t + 1 - 1 - 2*t + (-1 + 1 + t)*(-2 + 1 + 3) + 2*t - 2 + 2 + 1 - 3*t - 1 - 2*t - 2*t + 3*t.
-2872*t
Expand 2*i - 2*i - 3*i + 4*i - 2*i - i - i + i - i + (-1 + 4 - 4)*(-2*i + i + 3*i) + 476*i - 1718*i + 4212*i + 2243*i + 2835*i.
8043*i
Expand -2*l + 243729 - 121868 - 3*l**2 - 121863 + (-3*l + 2*l + 2*l)*(-4 + 4 + l).
-2*l**2 - 2*l - 2
Expand 2*b**4 - 5*b**4 + 0*b**4 + (-5*b + 16*b - 6*b)*(-1 + b + 1)*(-6*b**2 + b**2 + 0*b**2) - 3*b**4 + 7*b**4 + 0*b**4.
-24*b**4
Expand (-5*l**2 - 10*l**2 - 2*l**2)*(-2 + 6 - 3) + (2*l**2 - l**2 - 2*l**2)*(-14 + 18 + 17).
-38*l**2
Expand (418 - 62 - 50)*(1 + 0 - q + 4*q).
918*q + 306
Expand (-3 + 4 - 3)*(4870*s**2 - 73 - 2433*s**2 - 2434*s**2).
-6*s**2 + 146
Expand (7 - 5 - l + 0*l)*(-19 + 51 + 32).
-64*l + 128
Expand (21283 + 2*t**2 - 30*t - 21283)*(-2*t**2 - t**2 + 2*t**2).
-2*t**4 + 30*t**3
Expand (-4 + 2 - 1 + (8 - 3 - 2)*(3 + 3 - 2))*(-6 + 6 - 3*l**2) - 2*l**2 - l**2 + l**2 + 3*l**2 - 5*l**2 + 7*l**2.
-24*l**2
Expand (0*x + 2*x - 4*x)*(x**2 + x**3 - x**2) - 236*x**4 - 1519 + 1519 + 3*x**4 - 3*x**4 - 2*x**4 + (2*x + 2*x - 2*x)*(3 - 3 + 4*x**3) + x**3 - x**3 + 4*x**4.
-228*x**4
Expand (-2*q + 0*q + 5*q)*((-5 + 2 + 2)*(q + q - 4*q) + 231*q - 500*q - 546*q).
-2439*q**2
Expand (-7 + 59 + 39 - 1 + 1 + 1 + (-1 + 0 + 0)*(-2 - 2 + 3))*(39*r**4 - 4*r**4 - 6*r**4).
2697*r**4
Expand (3*r**2 - 2*r**2 - 2*r**2)*(3*r - 4 + 2*r + 2) - 1162*r**2 + 1162*r**2 + 425*r**3.
420*r**3 + 2*r**2
Expand (2 + 4 - 1)*(1164 - 131*l - 1164).
-655*l
Expand (1 + 1 + 3)*(-q + 4*q - 2*q)*(-37*q**2 + 15*q**2 + 23*q**2).
5*q**3
Expand (7 + 0 - 2)*(5 - 1 - 3)*(3 - 3 - b) - 54*b - 277*b - 95*b.
-431*b
Expand (3*n - n + 0*n)*(-2*n**4 + 4*n**4 + 0*n**4) + 15*n**3 - 8*n**5 - 15*n**3 + 62*n**5 - 27*n**5 - 24*n**5.
7*n**5
Expand (-2*z**2 - 3*z**2 + 6*z**2)*((1 - 2 - 1)*(-1 - 1 + 4) + 1 - 5 - 5)*(28 + 40 - 42).
-338*z**2
Expand (-2 - 11 - 23)*(4*n - n - 4*n)*(15*n**3 - 4*n**3 - 6*n**3).
180*n**4
Expand (-2*b + 0*b - 2 - 4*b)*(27*b - 27*b - 12*b**3) + (-2*b + 0*b - b)*(b**3 - b**3 - b**3).
75*b**4 + 24*b**3
Expand -6*y**2 + y**2 + 3*y**2 - 62*y**2 - 139 + 139 + (8 + 7 + 2)*(-2*y + 2*y + 2*y**2).
-30*y**2
Expand (-53*f**2 + 0*f + f + 55*f**2)*(-6 - 9*f + 6) - f**2 + 2*f**3 + f**2 + (7*f**3 - 4*f**2 + 4*f**2)*(-3 + 4 + 0).
-9*f**3 - 9*f**2
Expand ((-2*q + 1 - 1)*(-2*q + 5*q - 2*q) - 4*q**2 - 2*q**2 + 5*q**2 - 53*q**2 - 66*q**2 + 86*q**2 + 3*q**2 + 5*q**2 + q**2)*(4*q**3 - 3*q**3 - 3*q**3).
54*q**5
Expand (12096100 + 4055*r - 12096100)*(0 - 4 + 5)*(-62 + 16*r + 62)*(-5 + 5 + 2).
129760*r**2
Expand (11 + 1 - 6)*(-4*t**3 + t**3 + t**3)*(2*t**2 - t**2 + t**2 + t) - 3*t**5 - 4*t + 4*t + (2*t**2 + 2*t - 2*t)*(-24*t + 24*t - 9*t**3).
-45*t**5 - 12*t**4
Expand (2*y**2 + 3*y**2 - 3*y**2)*(4*y - 13 + 13) + (-3 + 6 + 5)*(1 - 1 - 3*y**3) - 7*y**3 - 11*y**3 + 3*y**3.
-31*y**3
Expand -92*q**3 + 68*q**3 - 112*q**3 + 0*q**3 - q**3 - q**3 + (-2 + 1 + 0)*(q + 3*q**3 - q).
-141*q**3
Expand (4 - 10 + 12)*(-20*y + 7*y + 8*y) + 3*y + 3*y + 2 - 7*y.
-31*y + 2
Expand (t + t + 0*t)*(-1 + 1 + 2*t) + 2*t**2 + 8*t**2 - 6*t**2 - 34*t**2 - 7*t**2 + 8*t**2.
-25*t**2
Expand 2 - 2 - n**2 + (3*n - 4*n + 0*n)*(2*n + 0 + 0) + 6*n**2 + 0*n**2 - 5*n**2 - 34*n**2 - 14216 + 14216 - 3*n + (n - 6*n + 0*n)*(0*n - n + 0*n).
-31*n**2 - 3*n
Expand (-37*x**2 + 160 - 160)*(3*x**2 + x**2 + 5*x**2).
-333*x**4
Expand (1 + 0 - 3)*((3 + 2*n - 3)*(-5 + 3 + 4) + (-22 - 29 - 3)*(-3*n - n + 6*n) + 15*n + 15*n + 9*n).
130*n
Expand (-h + 4*h - 2*h)*(-53*h + 9*h + 286*h).
242*h**2
Expand (-4 + 4 - 2)*(-z - 2*z + 2*z)*(592*z**2 - 63144*z + 63144*z).
1184*z**3
Expand (-3*c**2 + 6*c**2 - c**2)*(2*c**3 - 4*c**3 + 5*c**3) - 29*c**5 - 331*c**5 - 90*c**5 + 0*c + 0*c + c**5.
-443*c**5
Expand (-465 - 50*y + 465)*(3*y + y - y)*(-2*y**2 + 0*y**2 + 4*y**2).
-300*y**4
Expand (43*i - 30*i + 43*i)*(2*i**3 + 6*i**3 + 2*i + i**3).
504*i**4 + 112*i**2
Expand 1 - 1 - 3*z - 2*z + 4*z - 4*z + (-3 - z + 3)*(2 - 1 - 2) + 3112*z - 1368*z - 1107*z - 3*z + 3*z + z.
634*z
Expand (-67 + 6*n**2 + 27 + 19)*(79*n - 102*n + 70*n).
282*n**3 - 987*n
Expand (2 + 3 - 2)*(2 - 4 + 1)*(-158*g + 243*g - 756*g - 315*g).
2958*g
Expand (-6486*i + 3280*i + 3331*i - 2 - 42*i**2)*(-1 - i**2 + 1).
42*i**4 - 125*i**3 + 2*i**2
Expand (2*c**2 + c**2 - 4*c**2)*(0*c**2 - c**2 - c**2 + (0*c - 3*c + 2*c)*(2*c + 0*c + 0*c) - 2*c**2 + 4 - 1 + 3) + 597*c**4 + 2977*c**2 - 2977*c**2.
603*c**4 - 6*c**2
Expand (10 - 2 + 6)*(6*t - 43780 - 43740 + 87632).
84*t + 1568
Expand (2*l**3 - 6*l**3 + 6*l**3)*(862 + 1739 + 452 - 103 + 364).
6628*l**3
Expand (4 - 4 - 3*j)*(0 + 0 - j**2) + (-8*j**3 - 67 + 67)*(-2 + 5 - 1)*(24 - 4 + 1).
-333*j**3
Expand (307*f + 309*f - 607*f + 15)*(8 - 6*f - 8).
-54*f**2 - 90*f
Expand 4*p - 3*p**3 - 4*p + (-2 + 0 - 1 - 2*p)*(29*p + 7*p**2 - 1 - 99*p + 78*p).
-17*p**3 - 37*p**2 - 22*p + 3
Expand (1402*r - 211*r + 381*r)*(0*r - r - 2*r).
-4716*r**2
Expand (-3*v + 4*v + 1 + 2)*(-592*v**3 + 78*v**2 + 86*v**3 - 80*v**2).
-506*v**4 - 1520*v**3 - 6*v**2
Expand (g**2 + 2*g**2 + 3*g**2)*(-3*g - 33*g - 210*g).
-1476*g**3
Expand -i**2 + 3*i - 3*i + (2*i + 2 - 2)*(-i + 4*i - 2*i) + 1 - 1 - 2*i**2 + 3*i**2 + 4*i**2 - 5*i**2 + 63*i**2 + 44*i**2 - 13*i**2.
95*i**2
Expand (4*y + 0*y - 3*y)*(3374837 - 3374837 + 827*y**2 - y**3).
-y**4 + 827*y**3
Expand (-2*x**4 + 2*x**2 + 0*x**4 + 0*x**4)*(468*x + 70*x + 251*x).
-1578*x**5 + 1578*x**3
Expand (718 - 73*o**2 - 718)*(0*o**2 + 2*o**2 + 0*o**2 + (-o + 0*o + 2*o)*(3*o - 3*o - o) - 6*o**2 + 16 - 16).
365*o**4
Expand (f**2 + 0*f**2 + 4 - 3)*(236*f**2 + 270*f**2 + 178 - 511*f**2).
-5*f**4 + 173*f**2 + 178
Expand r - 5*r + 3*r + (-21*r - 8*r - 29*r)*(2 - 1 + 0).
-59*r
Expand (-93*x**4 + 6*x**4 - 4*x**4)*(x - x - 5*x).
455*x**5
Expand (-2 + x**4 + 2)*(-66 - 157 + 622) - x**4 + 3 - 3 + (-x**3 + x - x)*(-x + 0*x - x).
400*x**4
Expand -2831*s**4 - s**3 + 22*s**5 + 2831*s**4 + (94*s + 26*s - 29*s)*(2*s**4 + 2*s**4 - 6*s**4).
-160*s**5 - s**3
Expand (-6 + 4 + 1)*(2*d**2 - 4*d**2 + 0*d**2) + (-2*d + d + 0*d)*(-3*d + 3*d + d) - 45*d**2 - 16*d**2 - 311*d**2.
-371*d**2
Expand (-138 - 135 + 279 + (1 + 1 - 3)*(-1 - 2 + 4))*((-2*c + 4*c - c)*(1 - 3 + 0) + 2*c + c + 0*c).
5*c
Expand | {
"pile_set_name": "DM Mathematics"
} |
1/36*l**4 + 0*l**2 + 0 - l. Suppose o(m) = 0. What is m?
0, 1
Let w be (-42)/(-15) + 2/10. Let q be 0 + (18/3)/w. Factor 5 + 2*c**q + 0*c - 3 - 4*c.
2*(c - 1)**2
Let k = 4 - 2. Suppose k*q - q**2 - 5*q - 2*q**4 + 5*q - 5*q**3 = 0. What is q?
-2, -1, 0, 1/2
Suppose r + 3*p = 28, -6*r - 3*p + 80 = -r. Let n = -11 + r. What is k in 22/5*k**n + 8/5*k**3 - 4/5 + 2*k = 0?
-2, -1, 1/4
Let d(g) = -g. Suppose 2*v - v = -2. Let l be d(v). Factor 2/3*r**3 - l*r - 4/3 + 0*r**2.
2*(r - 2)*(r + 1)**2/3
Let q(u) be the second derivative of -u**5/20 + u**3/2 + u**2 - 10*u. Factor q(p).
-(p - 2)*(p + 1)**2
Factor -10/9*n + n**2 + 1/9.
(n - 1)*(9*n - 1)/9
Let r(i) = -2*i**3 - 33*i**2 - 42*i - 23. Let k(h) = -5*h**3 - 65*h**2 - 85*h - 45. Let l(x) = 3*k(x) - 5*r(x). Determine p, given that l(p) = 0.
-4, -1
Suppose -5*r + 15 = -2*a + 11, -3*r = -2*a - 4. Solve 3/2*f**3 + r*f - 3/2*f**5 + 0*f**2 + 0*f**4 + 0 = 0 for f.
-1, 0, 1
Let q be (-12 - 0/(-1))/(-2). Suppose -4*a - 4*i + 8 = 0, -3*a + q*a - 3*i = 18. Determine h, given that 0*h**2 + 0 + 3/5*h**3 + 0*h + 3/5*h**a = 0.
-1, 0
Factor -10/7*n - 12/7 - 2/7*n**2.
-2*(n + 2)*(n + 3)/7
Let i(k) be the third derivative of 0*k - 1/105*k**7 - 1/3*k**3 + 0 - 1/168*k**8 + 1/15*k**5 - 1/12*k**4 - 5*k**2 + 1/30*k**6. Find d such that i(d) = 0.
-1, 1
Let c(t) be the first derivative of -3*t**4/26 - 4*t**3/39 + t**2/13 - 3. Let c(i) = 0. What is i?
-1, 0, 1/3
Let s = -13 - -15. Suppose -14 = -3*v - 3*w + 1, 0 = 5*v + s*w - 16. Factor 1/5*a - 1/5*a**3 + 1/5*a**v - 1/5*a**4 + 0.
-a*(a - 1)*(a + 1)**2/5
Let f(u) be the second derivative of u**4/120 + u**3/60 - u**2/10 - 22*u. Factor f(z).
(z - 1)*(z + 2)/10
Let a(m) be the third derivative of -m**6/40 + m**5/20 + m**4/4 + 39*m**2. Find y such that a(y) = 0.
-1, 0, 2
Suppose 0 = -7*p + 2*p + 10. Suppose 3*k = -3*u - 2 + 23, 0 = 3*u + k - 21. Solve -p + u*z - 1 + 3 + 3*z**3 - 8*z**2 - 2 = 0 for z.
2/3, 1
Let g(a) be the second derivative of -1/3*a**4 - 1/15*a**6 + 0 + 0*a**2 + a + 3/10*a**5 + 0*a**3. Factor g(y).
-2*y**2*(y - 2)*(y - 1)
Solve 1/4*n**3 - 1/2*n + 0 + 1/4*n**2 = 0.
-2, 0, 1
Suppose -v + 3*p + 2 = 0, -3*v + p + 3 + 11 = 0. Let a = -4 - -6. Factor f**2 - a*f**2 - 2*f - v + 4.
-(f + 1)**2
Let p(a) be the first derivative of -a**3/3 - 5*a**2 + 2*a + 4. Let z be p(-10). Factor 4/7*m**3 + 2/7*m**4 + 2/7 - 4/7*m**z - 2/7*m**5 - 2/7*m.
-2*(m - 1)**3*(m + 1)**2/7
Let v(h) be the third derivative of h**7/840 + h**6/240 + 5*h**4/24 - 6*h**2. Let c(f) be the second derivative of v(f). Suppose c(b) = 0. Calculate b.
-1, 0
Let v be 1/(-4)*((-4)/(-42))/(-1). Let l(a) be the second derivative of -v*a**7 - 2/15*a**6 - 3/10*a**5 - 3*a - 1/3*a**4 + 0*a**2 + 0 - 1/6*a**3. Factor l(d).
-d*(d + 1)**4
Let u(q) be the first derivative of -q**5/15 - q**4/24 - 2*q**2 - 2. Let a(c) be the second derivative of u(c). What is j in a(j) = 0?
-1/4, 0
Let h(w) be the second derivative of w - 1/6*w**4 + 2/3*w**3 - 4/3*w**2 + 1/60*w**5 + 0. Factor h(d).
(d - 2)**3/3
Factor 1/2*y**2 - 3/2*y + 1.
(y - 2)*(y - 1)/2
Factor 10*g**3 - 2*g - 474*g**2 - 8*g + 479*g**2 - 5*g**4.
-5*g*(g - 2)*(g - 1)*(g + 1)
Let t be (-10)/(-8) + (-1 + 0)*1. Suppose -1/4*u**2 - 1/4*u**3 + t + 1/4*u = 0. What is u?
-1, 1
Suppose -3*z - s = -5 - 4, -9 = -3*z - 5*s. Let z*k**2 + 2*k - 7*k - k - 1 + 4 = 0. Calculate k.
1
Let a(f) = 4*f**4 - 2*f**3 - 9*f**2 + 4*f + 7. Let q(y) = -y**4 + y**3 + 3*y**2 - y - 2. Let p(c) = -4*a(c) - 14*q(c). Factor p(z).
-2*z*(z + 1)**3
Let k = 613 - 610. Factor g + 0 + 1/2*g**2 - g**k - 1/2*g**4.
-g*(g - 1)*(g + 1)*(g + 2)/2
Let f be (-4)/(7/((-21)/6)). Suppose -b - 41 = p - 6*p, 12 = f*p + 4*b. Factor -2*x + p*x**2 - 14/3*x**3 - 4/3.
-2*(x - 1)**2*(7*x + 2)/3
Suppose 0 = -4*i - 12, -5*y - i - i + 4 = 0. Factor 6/5*q**5 - 2/5*q**3 - 4/5*q**4 + 0*q**y + 0 + 0*q.
2*q**3*(q - 1)*(3*q + 1)/5
Let r(n) be the second derivative of 5*n**4/12 - 20*n**3/3 - 14*n. Factor r(x).
5*x*(x - 8)
Factor -3*k**3 - 756 + 756 + 2*k + k**2.
-k*(k - 1)*(3*k + 2)
Let b = 18/7 + -641/252. Let f(k) be the third derivative of 1/18*k**3 + 0*k + 2*k**2 + 0 + b*k**4 + 1/180*k**5. Factor f(q).
(q + 1)**2/3
Let v = -13 - -18. Factor 0*j**2 - 4/7*j**3 + 0 + 0*j - 6/7*j**4 - 2/7*j**v.
-2*j**3*(j + 1)*(j + 2)/7
Suppose 0 = -3*k + n + 11, -4*k = -0*k + 3*n - 6. Factor 6/11*i**2 - 8/11 + 2/11*i**k + 0*i.
2*(i - 1)*(i + 2)**2/11
Let t(d) be the second derivative of -3*d**5/10 - 19*d**4/6 + 41*d**3/9 - 7*d**2/3 - 10*d. Factor t(n).
-2*(n + 7)*(3*n - 1)**2/3
Let d be (-116)/(-10) - (-4)/10. Suppose -12 - 16*u**2 + 16*u**4 - 4*u + 4*u**3 + d = 0. Calculate u.
-1, -1/4, 0, 1
Let k = 45/17 - 27/68. Solve 3/4*q - k*q**4 - 27*q**5 + 69/4*q**3 - 27/4*q**2 + 0 = 0.
-1, 0, 1/4, 1/3
Let p(a) be the third derivative of -a**7/665 + a**6/570 + a**5/570 + 2*a**2. Solve p(s) = 0.
-1/3, 0, 1
Suppose 12*u**4 + 7*u**2 - 13*u**2 + 4*u**5 + 12*u**3 + 10*u**2 = 0. What is u?
-1, 0
Suppose 3*t - 24 = 3*i, -6*t - 2*i + 8 = -2*t. Factor -g**3 - 2*g**5 + g**4 - 6*g**2 + g**t + 3*g**5 + 4*g**2.
g**2*(g - 1)*(g + 1)*(g + 2)
Suppose -5 + 2 + j**3 + 8*j**4 - 9*j**4 + 11*j + 7 + 9*j**2 = 0. What is j?
-1, 4
Let l = -1207 + 4831/4. Solve -l*m**3 + 3/2*m**2 + 3/4*m - 3/2 = 0 for m.
-1, 1, 2
Let l(o) be the second derivative of -o**7/280 + o**6/80 - o**5/80 - 2*o**2 + 3*o. Let k(x) be the first derivative of l(x). Find h, given that k(h) = 0.
0, 1
Let m(g) be the second derivative of -1/56*g**7 + 3/40*g**5 + 1/8*g**4 + 0 - 3/8*g**2 - 1/40*g**6 - 1/8*g**3 - 3*g. Suppose m(i) = 0. Calculate i.
-1, 1
Suppose 4*l = -49 + 17. Let o be l/(-14)*(-49)/(-70). Factor -6/5*u + o*u**2 + 4/5.
2*(u - 2)*(u - 1)/5
Let h(n) be the second derivative of 1/15*n**6 - 1/63*n**7 - 1/10*n**5 + 0*n**2 + 4*n + 0*n**3 + 1/18*n**4 + 0. Let h(o) = 0. What is o?
0, 1
Let y(l) be the first derivative of -l**5/30 - l**4/12 + 2*l**3/3 - 3*l**2/2 + 2. Let v(w) be the second derivative of y(w). Factor v(a).
-2*(a - 1)*(a + 2)
Factor -45*n**3 + 36*n**4 - 15*n**4 + 1690*n**5 - 1693*n**5 + 27*n**2.
-3*n**2*(n - 3)**2*(n - 1)
Let i(d) = 3*d**2 + 2*d + 3. Let w(k) = 3*k. Let r be w(1). Let j(u) = u - 1. Let l(c) = r*i(c) + 6*j(c). Solve l(f) = 0 for f.
-1, -1/3
Let m(j) = 3*j + 3. Let f be m(-1). Let n(w) be the second derivative of 1/147*w**7 - 2*w + 0*w**2 + 0 - 2/105*w**6 + 0*w**3 + 1/70*w**5 + f*w**4. Factor n(q).
2*q**3*(q - 1)**2/7
Let w be 1/(-7)*224/(-64). Factor 1/4*v + 1/4 + 1/4*v**5 - w*v**3 - 1/2*v**2 + 1/4*v**4.
(v - 1)**2*(v + 1)**3/4
Factor -10*f**2 + 9*f**2 - 11*f**2 - 12*f**3 - 4*f**4 - 4*f.
-4*f*(f + 1)**3
Let d(i) = -4*i**2 - 8*i. Let q(l) = -l. Let p(t) = d(t) - 8*q(t). Factor p(z).
-4*z**2
Let c be 2 + -3 - 3/(-1). Factor -c*i**3 - 4 + 6*i + 0*i**3 + 0.
-2*(i - 1)**2*(i + 2)
Suppose 0 = -x - 3 + 2. Let t be (0 - 2)/(x/2). Let 3*j**4 + 4*j**4 - 4*j**t + 3 - 6*j**2 = 0. What is j?
-1, 1
Suppose 11 + 198 - 25*s + 4*s**2 + 47 - 39*s = 0. Calculate s.
8
Suppose -3*f + 0 + 6 = 0. Solve 2*g**f - 4*g + 3*g - 2*g + 6 - 5*g = 0.
1, 3
Let z(y) be the second derivative of -3*y**5/20 + 7*y**4/4 - 4*y**3 - 24*y**2 - y - 4. Factor z(g).
-3*(g - 4)**2*(g + 1)
Let m be ((-8)/(-60))/((-16)/25). Let k = 1/72 - m. Determine i, given that -k*i - 2/9*i**2 + 2/9*i**3 + 0 + 2/9*i**4 = 0.
-1, 0, 1
Let b(j) = j**3 - 2*j**2 - 10*j + 11. Let d be b(4). Factor 0*n - 2/3*n**2 + 0 - 11/3*n**d - 7/3*n**5 - 16/3*n**4.
-n**2*(n + 1)**2*(7*n + 2)/3
Factor j**4 + 79 + 2*j**3 - 9*j - 83 + j - 3*j**2.
(j - 2)*(j + 1)**2*(j + 2)
Suppose 0 = 2*b - b - 3, -t + 4 = -b. Suppose -3*n + 5*c + t + 2 = 0, n + 4*c - 3 = 0. Suppose 2*h**n + 4*h**2 + 5 + 2*h - 5 = 0. What is h?
-1, 0
Let j(m) be the second derivative of 1/4*m**4 + 0*m**2 + 1/30*m**6 - 3/20*m**5 + 0 + 3*m - 1/6*m**3. Factor j(v).
v*(v - 1)**3
Let i(r) be the third derivative of 0*r**3 + 1/15*r**5 + 1/60*r**6 + 0 + 3*r**2 + 1/12*r**4 + 0*r. Factor i(c).
2*c*(c + 1)**2
Find g, given that -23*g**3 + 60 - 24*g**2 + 27*g**5 - 4*g + 24*g**4 + 64 - 124 = 0.
-1, -2/3, -2/9, 0, 1
Let l be (1/16)/((-45)/(-180)). What is z in l*z**2 + 1/2 + 3/4*z = 0?
-2, -1
Let k be (6/4)/(2/4). Let g(i) be the second derivative of 1/54*i**4 + 0*i**2 + 0 + 1/27*i**k - i. Find r such that g(r) = 0.
-1, 0
Let n(j) be the first derivative of -j**5/180 - j**4/18 - j**3/6 - 3*j**2 - 2. Let u(h) be | {
"pile_set_name": "DM Mathematics"
} |
+ 5*n = 274 for u.
-66
Solve b - 27 = -414*p + 413*p, b = -p - 3*p + 102 for b.
2
Solve 2*f = 5*j + 79, -39*f + 223 = -85*f - 5*j for f.
-3
Solve -1697*j + 1698*j = -u + 5, 0 = 2*j - 427*u + 419 for j.
4
Solve -12*x - 51 = -15*u, 2*u - 5*x = 405 - 388 for u.
1
Solve -4*o + 24 = 16*y, -60*o - 5*y + 230 = o - 23*o + 2 for o.
6
Solve -2146*m + 1233*m = -2*f + 32860, 3*f + 84 = -2*m for m.
-36
Solve 4*o = 1431*z - 2866*z + 1437*z + 42, 2*z = -2*o + 18 for z.
-1
Solve 18 + 4 = 4*m + d, 458*d - 457*d = 6 for m.
4
Solve -b - 3*b - 13 = v, 16856*v + 13 + 19 = 16858*v + 66*b for v.
-17
Solve -667 - 801 = 67*y - 3*k, y + 8*k - 12*k = -14 for y.
-22
Solve 10*a - 8*l = -130, -38*a + 69*a + 5*l - 65 = 36*a for a.
-13
Solve 6*o - 26 = -4860*j + 4864*j, 4*o - j + 1 = 0 for o.
-3
Solve -7*k = 3*z - 183, 7*k + 21*z - 111 = 3*k + 18*z for k.
24
Solve 2*c = q + 5, 138*q - 140*q - 16 = 2*c for c.
-1
Solve -15*x + 915 = -5*k, 6*x - 6 = -4*x + 10*x + 2*k for x.
60
Solve -g - 19 = g + 3*s, -5*g - 8*s + 2 = -2*g + 22 + 33 for g.
1
Solve 8*o = 7*f - 27, -6 = -3*f + 649*o - 640*o for f.
5
Solve 3*n + 94 = g, -6017*n + 6013*n - 9*g + 4*g - 100 = 0 for n.
-30
Solve 16 = 2*a + 3*q, -89*q + 918 = -a + 141*q for a.
2
Solve 5*w = 5*s + 240, -6*s + 0*s - 280 = 5*w - 47 for s.
-43
Solve -6*s + 54 = -4*b, -922*s + 919*s + b + 9 + 4 = -2 for s.
1
Solve 8 = 4*t - 0, -43*f = -84*f + 45*f + 4*t + 12 for f.
-5
Solve 3*v + j = -11, -5*v + 5*j - j = -11*j - 16 + 1 for v.
-3
Solve -2*a + 16 = 2*w, 5295*a = 5*w + 5285*a + 5 for w.
5
Solve 0 = 4*a - 5*j - 109, -14*j - 616 + 258 = 2*a for a.
-4
Solve -3*h + 2178 - 2160 = 4*g, 0 = 2*h + 8*g - 12 for h.
6
Solve 542*g - 541*g - 5 = 2*p + 3, -2*p + 2*g = 10 for p.
-3
Solve -35*k - 5 = -31*k + z, 3*z + 2919 - 2969 = -25*k for k.
5
Solve 4*q - 6920*k + 6921*k = 60, 0 = q - 4*k + 2 for q.
14
Solve 0 = -4*c + k + 108, -4*c - 119822*k + 128 = -119818*k for c.
28
Solve -y = -7*d + 3*d + 6, -4*y - 5 - 9 = -11*d for d.
2
Solve -6*g + 3*g - f - 12 = -46, -4*g + 172 = 12*f - 76 for g.
5
Solve -61*n = -3*d - 279, -2*n + 103 = -5*d + 32 - 95 for n.
3
Solve -2*q = v + 123, 0*q - 39 = q + 34744*v - 34739*v for q.
-64
Solve -90 = -23*a + 2*z, a + 116 + 121 = 2*z + 239 for a.
4
Solve 4*x - 3*x + 4*f + 0*f = 8*x - 64, x - f - 7 = 0 for x.
12
Solve -2*b + 0*b = -12*f - 34 - 16, -3*f - 4*b = -2*f for f.
-4
Solve 2*u + 2*d - 106 = 0, 2*d + 592779 = 23*u + 591460 for u.
57
Solve 20023*m + 10 = 20023*m - 5*f, -17*m - 140 = 2*f for m.
-8
Solve 81 = -5*i + 5*j - 9, i - 5*i + 9*i + 150 = 9*j for i.
-3
Solve -3*l + w = -5*w + 9*w, 3*w = -2*l - 4 for l.
4
Solve -4*k - 4 - 32 = -w, 12*k - 9*k = -2*w + 17 for w.
16
Solve -154*v = -156*v + 3*h - 4, 2 = -v - 76*h for v.
-2
Solve -3*y - f - 31 = 2*y, 0 = -112*y + 112*y + f + 36 for y.
1
Solve -d = -8*a - 11, 99764*d + 19 = 99761*d - 2*a for d.
-5
Solve 51741 - 51767 = 2*y + 6*b, -15*y = 3*b + 153 for y.
-10
Solve -175 = 467*w - 460*w + 3*d, -3*w + 13*d + 825 = 0 for w.
2
Solve 20*i - 11*i - 15*i - 5*l = 313, -242 = 2*i + 4*l for i.
-3
Solve -3937*d + 3940*d + 3*b - 14 = 4*b, 0 = 56*d + 5*b + 70 for d.
0
Solve -3*v - 5*l - 62 = 0, 16709*v + 10*l = 16714*v + 30 for v.
-14
Solve 4*z - 2*j + 58 = 0, 12*z - 7 + 211 = -4*j for z.
-16
Solve 2*c - 3*v + 23 = 0, 2*c - 5414 = 5*v - 5447 for c.
-4
Solve -24*n + 29*n - 121 = -27*y, -y - 3*n + 27 = 0 for y.
3
Solve -2*k + r + 122 - 383 = 12*r, -2*k - 4 = -5*r - 111 for k.
-4
Solve -m + 3*m - 2*m + 18 = -3*m + 5*w, -4*w = -6*m for m.
4
Solve 3*k - 2*n + 19 = 8*k - 0*n, -4*k + 29*n - 46 = 0 for k.
3
Solve 3*r - 46 = 10*u, 6933*r - 6931*r - 6*u = -2*u + 36 for r.
22
Solve -17*w + 18*w = -2*k + 42, -9*k = 16*w - 4*k - 645 for w.
40
Solve 46*q - p + 3*p - 380 = 5*p, 11 = -5*q + 5*p + 71 for q.
8
Solve -6 = 2*b - 2*r + 3*r, -5*r - 156 + 168 = -4*b for b.
-3
Solve -u + 2*u = 2*p + 6*u + 112, 3*p + 84 = -4*u for p.
4
Solve -72*h + 2*n = -144 + 232, -3*h + 7*n - 35 = 3*n for h.
-1
Solve -11*p - 4*p = -19*p - 16, -2*y + 20 = -4*p for y.
2
Solve -k + v = 1, 34*k + 157368 = 3*v + 157489 for k.
4
Solve -7253*t - 2*b + 42 = -7251*t, 5*t - 129 = 3*b for t.
24
Solve -3*m + 13*r + 12*r - 23*r - 2 = 0, -19 = 5*m - 19*r for m.
0
Solve -2*a - 2*v + 6 = 0, -2*a + 290781*v + 16 = 290778*v for a.
5
Solve 132 = -4*q - 4*r, -8*q + r - 127 - 86 = 33 for q.
-31
Solve 4*n - 8 = 4*i, 4*n - 5600*i - 5607*i + 11205*i - 7 - 3 = 0 for n.
3
Solve 3*j = 24, j + 2 = 10*m + 6 + 4 for m.
0
Solve -1032*f + 1028*f = 29*y + 762, -3*y = -f + 76 for y.
-26
Solve o = -q + 5*q - 49, 1242635*o + q = 1242633*o + 1 for o.
-5
Solve 101 = i + 4*j, 0 = 2*i + 15*j + 57 - 441 for i.
-3
Solve 773*a - 772*a = 18*x + 68, -4*a - 20 = x for a.
-4
Solve -3*m - v - 80 = 0, -m - 1615*v - 36 = -1617*v for m.
-28
Solve 2*l + 14 = 2*u, -2*l - 16520 = -16504 for u.
-1
Solve p + 744 = -f + 736, p = -17*f + 24 for f.
2
Solve 4*c + 45 = 63*t - 66*t, 121*c + 247*t = 245*t + 149 - 889 for c.
-6
Solve -8*i + 38*i - 9*i + 84 = 4*v + 17*i, v + 111*i - 21 = 0 for v.
21
Solve 2*m - 12*g = -20, m - 5*g - 56313 = -56320 for m.
8
Solve 5*a + 16 = 5*d - 214, 4*a - 3 = -5*d + 263 for d.
50
Solve 0 = -4*g + 3*m - 3, -5*m - 124 = g - 106 for g.
-3
Solve 2*o + 7 = 5*f, 27130 - 27125 = 3*f - o for f.
3
Solve 14*v - 11*v = 0, 10*o + 3*v - v = -0*o + 264 + 126 for o.
39
Solve -4*x - 235*f + 212*f - 1 = 32, 0 = 4*x + 2*f - 7*f - 51 for x.
9
Solve 4*o - 6501*t + 14 = -6498*t, 0 = -2*o + 2*t - 12 for o.
4
Solve -3*z = 5*n, -38534*z - 4*n = -38529*z + 26 for z.
-10
Solve -199 = -3*a - a - 5*t + 209 - 397, -9 = -3*a - 4*t for a.
-1
Solve -2*z + 5*z = 5*b + 9, 7*b + 12*z - 4 - 32 = b for b.
0
Solve 2*d + 2163 = -5*l + 2314, 4*l - 126 = d for l.
31
Solve -92 = 5*o - 2074*m + 2075*m, 7*m = 5*o + 116 for o.
-19
Solve -23*n = -2*f + 166 - 139 - 133, 5*f + 0*f + 35 - 8 = -2*n for f.
-7
Solve 90*q = 95*q - 4*r + 48, 2*q + 1 = -r - 0*r for q.
-4
Solve -539*u = -4*d - 536*u - 11, -58*d - 2*u = 114 for d.
-2
Solve 2 = 5*p - 2*j, -5*p = -10505*j + 10495*j + 30 for p.
2
Solve -44*f - 14*f = 7*f - 4*u + 89, -2*f - 2*u + 10 = 0 for f.
-1
Solve -a - 14 = -6 - 3, -30*n = -79*n + 2*a + a - 426 for n.
-9
Solve -1257*f - 1253*f + 67 = -2509*f - 16*j, -f - 2*j = 4*f - 0*j - 7 for f.
3
Solve 0 = -3*p - 4*t + 20, -5*p + 0*t - 2530337 = 4*t - 2530349 for p.
-4
Solve -6*p = 99*q - 100*q - 24, 3*p = -8*q - 39 for q.
-6
Solve -201*z + 202*z = 2*a + 25, -2*z + 59 = -a for a.
3
Solve 265*l + 59 - 207 = 261*l - 5*a, 90 = 3*l + 3*a for l.
2
Solve -5*s = -2*k + 128, 11*k + 47680 - 47752 = -k + s for k.
4
Solve 6*x + 7*x - 3*o - 189 + 105 = 0, -4*o = x + 2 for x.
6
Solve -15*k - 166 = -5*h - 41, 4*h + 1953*k = 1952*k - 4 for h.
1
Solve 22*f - 29183 = -4*u - 28663, 0 = -2*u + 2*f - 52 for u.
-2
Solve -16*l = t + 78, -96*l + 95*l - 6 - 7 = -4*t for t.
2
Solve -3*n - q + 2 = -8*n + 10*n + 12, -12*n - 5*q - 37 = 0 for n.
-1
Solve -6*i + 2*i + 243308*w - 13 = 243303*w, 2*w = 10 for i.
3
Solve -3*c + 2137 = 2149, 3*c + 7 = -a - 2*c + 2*c for a.
5
Solve -4*f - 59*j = -46*j - 186, 0 = -2*f + 2*j - 4*j + 30 for f.
1
Solve 21 = -5*j - 3*l, 389065*l + 153 = -4*j + 389108*l for j.
-6
Solve 12*o - 71*w + 72*w = -16, 3*o - 3*w + 69 = 0 for o.
-3
Solve 0 = 2*j + 2*l + 2, -7*j = -26*j + j + 4*l - 128 for j.
-6
Solve -39*z - 9 - 33 = -3, 0 = g + 5*z - 15 for g.
20
Solve 14*u - 4*v = 10*u - 0*u + 7*u - 4, -2*v = -2 for u.
0
Solve -c + 7*d + 63 = 9*d, 0 = 18*c - 14*c - d - 252 for c.
63
Solve -88895 = 6*o - 4*p - 88821, -4*o = 4*p - 104 for o.
3
Solve -2*f + 2*i = 14, -324*i - 312*i + 638*i = 22 for f.
4
Solve 3*m - 18 = 0, -2*d - 450470 + 450482 = 2*m for d.
0
Solve 23 + 23 = 2*c + 5*x, 3*c = 28*c - 5*x + 37 + 63 for c.
-2
Solve -3*i - 52 = 10*f, -4*f = -20*i + 16*i - 3 + 4 - 1 for f.
-4
Solve 5*t + 3*w = 94, 83*t = 46*t + 34*t - 5*w + 130 for t.
5
Solve 13*j = 60*j + 3*r + 100, -2*j + r - 4*r - 10 = 0 for j.
-2
Solve 14644 - 14680 = 4*u - 5*q, 37*u + 1172 = -255*u + q for u.
-4
Solve 0 = y + 13*a - 12*a - 25, 2*a = -25*y + 602 for y.
24
Solve -3*i = -3*g, 32*i - 35*i + 35 = 4*g for i.
5
Solve -78*h + 15 = q - 79*h, 2*q + 45 = -12*q - h for q.
-2
Solve 28*h + 353 = -41*o - 2*o, 3*h - h - 3*o = 2*o + 121 - 122 for h.
-8
Solve 1604*x + 2*t = 1637*x - 1221, -4*x = 4*t - 148 for x.
37
Solve 19*u - 8*u = -3*r - 174, 3*u + 6 | {
"pile_set_name": "DM Mathematics"
} |
f - 19/10*f**5. Differentiate j(m) wrt m.
-114*m**2
Let t(g) be the second derivative of 27*g**5/20 - 7*g**4/6 - 3*g - 10. Find the third derivative of t(o) wrt o.
162
Find the second derivative of -63*v**2 - 4*v**3 + 2*v**3 - 14*v - 109*v - 63*v + 3*v**3 wrt v.
6*v - 126
Let z(k) be the third derivative of -k**7/210 - 3*k**6/4 - k**5/60 + k**4/2 - 10*k**2 - 7. What is the third derivative of z(s) wrt s?
-24*s - 540
Suppose 8*r = 15*r - 14. Differentiate r*m**3 + 15 - 2*m**3 + 3 + 12*m**4 with respect to m.
48*m**3
Let v(j) be the second derivative of 19*j**6/30 + j**5/5 + 29*j**4/6 + 3*j + 15. Find the third derivative of v(k) wrt k.
456*k + 24
Let v(h) be the first derivative of 182*h**3/3 + 55*h**2/2 + h - 55. Find the second derivative of v(w) wrt w.
364
Let i = 2 - 0. Suppose -53 = -4*o + d, -4*d - 30 = o - 4*o. Find the first derivative of 14*r - o*r + r**i - 1 wrt r.
2*r
Let j(n) be the second derivative of 101*n**5/10 + 40*n**4/3 - n**2/2 - 203*n + 1. Find the third derivative of j(i) wrt i.
1212
Let l(r) = 11*r**4 + 5*r**2 - 4*r - 51. Let y(b) = 7*b**4 + 3*b**2 - 3*b - 34. Let z(c) = 5*l(c) - 8*y(c). Find the second derivative of z(n) wrt n.
-12*n**2 + 2
What is the second derivative of 183*t + 5*t**2 + 339*t**3 - 5*t**2 + 63*t**3 wrt t?
2412*t
Let m(s) = -2*s - 1. Suppose -2*r - 9 = 11. Let w be m(r). What is the third derivative of -i**2 + w - 19 - 5*i**3 wrt i?
-30
Let c(o) = o**2 + o - 7. Let k be c(-4). Let p(v) be the first derivative of v - k - 3/2*v**2. Differentiate p(t) wrt t.
-3
What is the second derivative of -7 + 5*j - 301*j**4 - 296*j**4 + 46*j**3 + 595*j**4 wrt j?
-24*j**2 + 276*j
Suppose 6*k - 3*k = 177. What is the derivative of 59*j - 22*j**4 - 14 - k*j wrt j?
-88*j**3
Let y(z) be the third derivative of -11*z**9/72 + 41*z**5/60 + 15*z**2 + 2. What is the third derivative of y(f) wrt f?
-9240*f**3
Let c(g) = -g**3 - 4*g**2 - 3*g - 5. Let i be c(-4). What is the first derivative of 14*x**2 - 5*x + 12*x - i*x + 18 wrt x?
28*x
What is the third derivative of 2 + 249*v**3 + 3233*v**2 + 34*v - 2 - 3232*v**2 wrt v?
1494
Let i be -6*(-1)/((-12)/(-8)). Suppose -6*l + 3*l + 5*d + 6 = 0, i*l = -3*d + 8. Find the second derivative of 4*q**4 - 3*q - 3*q**4 - l*q wrt q.
12*q**2
Let d be 11/2 - 6/12. Let v(b) = 40*b**2 - 7*b - 5. Let j(y) = 39*y**2 - 7*y - 4. Let u(z) = d*j(z) - 4*v(z). Find the second derivative of u(r) wrt r.
70
Find the second derivative of -385*w**5 - 2147*w + 3004*w - 471*w**5 wrt w.
-17120*w**3
Let r(u) be the third derivative of -17*u**7/210 + u**6/120 + 47*u**5/15 - 15*u**2 + u. Find the third derivative of r(l) wrt l.
-408*l + 6
Suppose 75 = 5*r + 5. Differentiate -4*b**4 - r - 2*b**4 - 6*b**4 with respect to b.
-48*b**3
Let g(h) be the third derivative of -47*h**6/30 + 31*h**4/6 - h**3/2 - 965*h**2. Find the second derivative of g(d) wrt d.
-1128*d
Differentiate -5*l**2 - 241 + 43*l**2 - l**3 - 9 wrt l.
-3*l**2 + 76*l
Let f(b) be the first derivative of -2*b + 0*b**3 - 3/2*b**2 - 1/6*b**4 + 2. Let j(q) be the first derivative of f(q). Differentiate j(z) wrt z.
-4*z
Let q(r) = 7 + 2 - 2 - 6 + r. Let v be q(1). Find the second derivative of 0*h + 4*h - 6*h**v + 2*h wrt h.
-12
Find the second derivative of -645*o**3 - 32 - 35 - 23 - 3*o + 6*o + 8 wrt o.
-3870*o
Let g be 4 - (4/(-4) + 5). Suppose g*y + y - 34 = 0. Find the third derivative of -2*l**2 + 14*l**2 + 45*l**3 - 2*l**2 - y*l**3 wrt l.
66
Let y(a) = a**3 - 7*a**2 + a - 4. Let k be y(7). Let h be (120/210)/(2/7). Find the third derivative of -x**3 + h*x**2 + 9*x**k + 9*x**2 + x**3 wrt x.
54
Let m(j) be the first derivative of 3*j**4/4 + 2*j**3 - j**2/2 + 8*j + 73. Find the second derivative of m(w) wrt w.
18*w + 12
Let b(h) = -40*h**4 + 15*h**2 - 4*h + 69. Let u(a) = -20*a**4 + 7*a**2 - 3*a + 34. Let l(s) = -3*b(s) + 5*u(s). Find the second derivative of l(r) wrt r.
240*r**2 - 20
Differentiate 77 - 163 - 381*k - 3*k - 246 - 206*k with respect to k.
-590
Let a(g) be the third derivative of -3*g**2 + 0*g**3 + 0 - 5/12*g**4 + 2/15*g**5 + 0*g. Find the second derivative of a(w) wrt w.
16
Let j(x) = 8*x**3 - x**2 + x - 1. Let b(w) = 120*w**3 - 17*w**2 - 17*w + 5. Let c(f) = b(f) + 5*j(f). Find the third derivative of c(k) wrt k.
960
Suppose -7*k - 36 = -10*k. Find the second derivative of -4*l**3 + 4*l + 0 - k*l + 0 wrt l.
-24*l
Let l(c) be the second derivative of 97*c**4/6 + 100*c**2 - 11*c - 3. Find the first derivative of l(w) wrt w.
388*w
What is the third derivative of 2 - 352*c**3 + 33*c**3 + 86*c**2 - 221*c**2 wrt c?
-1914
Let k(q) = 164*q**2 + 7*q - 88. Let r(h) = -162*h**2 - 9*h + 87. Let f(i) = 4*k(i) + 3*r(i). Find the second derivative of f(p) wrt p.
340
Let b(u) = u**2 - 2*u + 5. Let x be b(2). Find the second derivative of n + 2*n + 11*n**x - 6*n - 6*n wrt n.
220*n**3
Let a(l) = 233*l**3 + 20*l**2 + 1908*l - 17. Let n(s) = -78*s**3 - 7*s**2 - 636*s + 6. Let f(d) = -6*a(d) - 17*n(d). Find the second derivative of f(o) wrt o.
-432*o - 2
What is the second derivative of 2*m - 461*m**4 + 26 + 88 + 457*m**4 - 19*m**3 wrt m?
-48*m**2 - 114*m
Let b(q) = 57*q**4 - q**3 + 8*q**2 + 4*q - 102. Let n(x) = -x**3 + 2*x**2 + x + 1. Let i(t) = -b(t) + 4*n(t). Differentiate i(l) with respect to l.
-228*l**3 - 9*l**2
Let n(s) be the second derivative of s**8/21 + s**5/60 - 15*s**2/2 + 10*s. Let i(o) be the first derivative of n(o). What is the third derivative of i(c) wrt c?
960*c**2
Let t(n) be the first derivative of n**10/1008 - n**6/45 - 4*n**3 - 13. Let g(s) be the third derivative of t(s). What is the third derivative of g(m) wrt m?
600*m**3
Let j(m) = 59*m - 45. Let k(n) = -118*n + 91. Let w(o) = 5*j(o) + 3*k(o). What is the derivative of w(v) wrt v?
-59
Let j(g) = 20*g**4 - 4*g**2 + 8*g. Let t = -26 + 31. Let d(p) = 19*p**4 - 5*p**2 + 9*p. Let c(v) = t*j(v) - 4*d(v). Find the second derivative of c(k) wrt k.
288*k**2
Let l(o) = 120*o**2 + 14*o + 3. Let r(z) = 61*z**2 + 7*z + 1. Let a(h) = 3*l(h) - 5*r(h). What is the second derivative of a(v) wrt v?
110
Find the third derivative of 184*v**3 - 345*v**3 - 327*v**3 - 14 + 9*v**2 - 6*v**2 + 12*v**2 wrt v.
-2928
Let k = -43 + 47. Differentiate k + 0 + 5 + 121*l - 124*l wrt l.
-3
Suppose 0*v = 4*v - 3*k - 8, 10 = 5*v - 2*k. What is the third derivative of -198*u**v + 392*u**2 - 205*u**2 - 21*u**6 wrt u?
-2520*u**3
Let f(g) be the first derivative of 169*g**6/3 + 34*g**2 - 123. Find the second derivative of f(r) wrt r.
6760*r**3
Let n(v) = -4*v - 8*v - 7 + 6*v**2 + 25 + 9*v**2. Let x(i) = -i**2 + i - 1. Let y(p) = -n(p) - 18*x(p). Find the second derivative of y(d) wrt d.
6
Let x(q) = 3*q. Let l(b) = -96*b - 302. Let y(u) = -l(u) + 3*x(u). Find the first derivative of y(h) wrt h.
105
Let n = -19 - -22. What is the third derivative of -2*w**2 + 8*w**n - 6*w**2 - 7*w**3 wrt w?
6
What is the second derivative of 15 + 110*q**3 - 108*q**3 - 2*q + 14 + 21 wrt q?
12*q
Find the second derivative of 65*l**2 + 72*l - 35*l**2 + 57*l**5 - 30*l**2 wrt l.
1140*l**3
Let d be (1 + -1)*11/22. Suppose -5*t - 6 + 16 = d. Find the third derivative of 2*w**t - 2*w**3 - 2*w**3 + 8*w**2 wrt w.
-24
Let m(h) = -50*h**2 + 4*h + 23. Let y(s) = 99*s**2 - 9*s - 45. Let x(c) = 7*m(c) + 3*y(c). Find the second derivative of x(k) wrt k.
-106
Let y(t) = -t**5 + t**3 - t**2 + t + 1. Let k(b) = -80*b**5 + 2*b**3 - 45*b**2 + 2*b + 2. Let l(s) = -k(s) + 2*y(s). What is the third derivative of l(v) wrt v?
4680*v**2
Let l(n) be the first derivative of -391*n**2/2 + 497*n - 445. Differentiate l(a) wrt a.
-391
Let l(g) be the first derivative of 0*g**2 + 0*g**4 + 3 - 6/5*g**5 - 7/3*g**3 + 0*g. Find the third derivative of l(k) wrt k.
-144*k
Let u(b) = b**3 + b**2 + b - 2. Let r(s) = 170*s**3 - 8*s**2 - 8*s - 24. Let q(x) = -r(x) - 8*u(x). What is the first derivative of q(p) wrt p?
-534*p**2
Let z(h) be the first derivative of 11*h**7/210 - h**5/10 + 5*h**2 - 5. Let q(i) be the second derivative of z(i). What is the third derivative of q(u) wrt u?
264*u
Let x(j) = -350*j**2 + 11*j + 1090. Let v(g) = -175*g**2 + 6*g + 544. Let y(b) = -11*v(b) + 6*x(b). Differentiate y(d) wrt d.
-350*d
Let n(a) = a**2 + a + 3. Let x(v) = -304*v**2 + 332*v + 60. Let t(j) = 20*n(j) - x(j). What is the second derivative of t(p) wrt p?
648
Let h = 56 + -9. Let t(k | {
"pile_set_name": "DM Mathematics"
} |
rue
Suppose 15 + 0 = 3*m. Suppose q - 14 + 0 = 2*i, -40 = -m*q + 4*i. Is 9 a factor of (4/6)/(q/54)?
True
Suppose -4*o + 0*o + 2*q = -4, o = -2*q - 4. Suppose -4*z + 153 + 7 = o. Is (28/8)/(1/z) a multiple of 35?
True
Let z = 4291 + -1221. Does 66 divide z?
False
Let c(r) = -7*r - 5*r + 8 - 6*r - r**2. Let f be c(-12). Suppose 5*l = -5*w + 170, -4*w + 2*w - 5*l + f = 0. Does 11 divide w?
False
Suppose -k + 79 - 9 = 5*c, -5*k - 40 = -c. Suppose u + 56 = -3*n + 149, c = 5*u. Does 10 divide n?
True
Suppose 0 = -80*v + 73*v + 10115. Is v a multiple of 85?
True
Let d = 14139 + -8243. Is 67 a factor of d?
True
Let h(t) = -2*t**2 + 4*t - 2. Let r be h(-4). Let d = -34 - r. Is d a multiple of 16?
True
Suppose 0 = 21*d + 16*d - 22496. Does 76 divide d?
True
Let t = -686 + 2618. Does 12 divide t?
True
Suppose -2*s + 1775 = 3*s. Suppose -2*a = -7*a + s. Suppose -5*g + a = -64. Is 22 a factor of g?
False
Let t(n) = 68*n**2 - 2. Is 33 a factor of t(-1)?
True
Let f(b) be the third derivative of b**5/20 + b**4/6 - b**3/2 - b**2. Let s be -4*4/(-2) + 0 + -2. Does 20 divide f(s)?
False
Suppose 35 = -3*f + 4*m - 48, 3*f + 71 = -2*m. Is ((-45)/(-10) - 4) + f/(-2) a multiple of 13?
True
Let y = 7 - -4. Let m be 94/517 + (-766)/(-22). Let n = y + m. Is n a multiple of 23?
True
Let n(j) = -j**3 - 11*j**2 + 25*j + 169. Is 26 a factor of n(-13)?
True
Suppose 1089 = 9*d + 2*d. Let w = 109 - d. Does 7 divide w?
False
Suppose 5*s = -54 - 161. Let r = s - -88. Is 6 a factor of r?
False
Suppose 5*n - 905 = -4*t, -5*t + 3*t = -n - 449. Is t a multiple of 5?
True
Does 62 divide 84325/40 - ((-42)/48 + 1)?
True
Suppose -43*w = -63*w + 51840. Does 24 divide w?
True
Let z = 106 - -84. Let v = z + -116. Is 29 a factor of v?
False
Suppose 0 = 3*f - 3*j - 1863, -2*f + 574 = 5*j - 647. Is f a multiple of 33?
False
Let n be 4/(-3) + (-10)/(-3). Suppose -3*z + n*z + 14 = 0. Is z even?
True
Let q be 2 + -3 + -1 - -269. Suppose -2*z + 332 = 4*v, 0*z + 3*z + q = 3*v. Is 11 a factor of v?
False
Suppose 2*w + f - 9 = 0, 3*w - 3*f - 15 = -6*f. Suppose -4*c + w*y - 8 = 0, 4*c - y = -22 + 8. Let o(g) = -9*g - 10. Is o(c) a multiple of 13?
True
Let d be -18*(-4)/4 + 1. Let z = -69 + 99. Let b = z - d. Is 10 a factor of b?
False
Let n(f) = 42*f - 24. Let i be n(9). Suppose -3*u + i = -u. Is u a multiple of 33?
False
Suppose -3*a + 10 = -t, 4*a = -a - 4*t + 11. Suppose -3*o - 57 = 3*u, -5*u = -a*o + o + 60. Let n = u - -20. Does 6 divide n?
True
Let x = 907 - 574. Suppose 9*q - x = -63. Does 3 divide q?
True
Let i be (-2476)/(-36) + 4/18. Let j = -15 + i. Is j a multiple of 18?
True
Let b(m) = 7*m**2 - 22*m - 15. Let x be b(-10). Suppose -4*k + x = k. Does 31 divide k?
False
Let c(d) = -d - 2. Let a be c(-3). Suppose -s - 2 + 1 = 3*w, 52 = 3*s - 2*w. Suppose -k + s + a = 0. Is k a multiple of 11?
False
Let z(t) = t**3 + 18*t**2 + t + 14. Is 21 a factor of z(-17)?
False
Suppose 0 = 5*q - 1142 + 262. Is 16 a factor of q?
True
Let a be (-5 - 76)*(-17)/3. Suppose 6*v - 15*v + a = 0. Is v a multiple of 17?
True
Is (2/4)/(5 - (-7979)/(-1596)) a multiple of 19?
True
Let v be (1 - 5)*38/76. Let t(i) = -i. Let a be t(-2). Does 6 divide a*2*(-11)/v?
False
Let n(m) = m**3 + 7*m**2 + 9*m + 3. Let x be n(-6). Let s = x - -31. Does 4 divide s?
True
Suppose -2*v - 2*d = -8, -3*d + 8*d - 14 = -4*v. Is (-434)/21*v/(-4) a multiple of 5?
False
Let s = 450 - 92. Does 44 divide s?
False
Let q(h) = 0*h**2 - 3*h**2 + 3 + 8*h + h**3 - 6*h**2. Let o be q(8). Does 14 divide 126/o*(-3)/(-9)?
True
Let q(g) = 2*g - 2. Let x be q(4). Let a(k) = -2*k**2 + 2*k + 5. Let c be a(x). Let p = c - -104. Does 10 divide p?
False
Let x(w) = 56*w**2 + 4*w - 4. Is x(3) a multiple of 32?
True
Suppose 5*m - 1104 - 266 = 0. Suppose 12*g + m = 14*g. Does 21 divide g?
False
Suppose -4*y + 9 = 3*c - y, -5*c = -3*y - 15. Let t be (-1*27 - c)*1. Does 11 divide 10/t + 34/3?
True
Suppose 3*a - 342 = -3*f, 3*f + 2*a - 342 = -2*a. Suppose 5*k - 115 = -4*i + f, 3*i + k - 169 = 0. Does 12 divide i?
False
Let m = -25 + 36. Suppose -4*h - 3*n + m = 0, -h - 4*n - 7 = -0*n. Suppose -h*p + 2*l = -68, p - 4 = -2*l - 0. Is 6 a factor of p?
True
Let h(g) = g**3 - 6*g**2 + 6*g + 2. Let b(n) = 2*n**3 - 11*n**2 + 11*n + 5. Let p(i) = 2*b(i) - 5*h(i). Is 9 a factor of p(6)?
False
Let q = -27 + 28. Let b = q - -7. Is 4 a factor of b?
True
Suppose 362 = 3*j - 0*j - 2*b, -4*j + 482 = -2*b. Let x = -163 - -166. Suppose -j = -5*n + 5*v, -x*v = -4*n - 8*v + 123. Does 9 divide n?
True
Suppose -4 = -8*u + 68. Suppose c - 203 = -u. Is 35 a factor of c?
False
Suppose -92 = -4*d + 1732. Does 57 divide d?
True
Let s = -9 - -9. Suppose s = -g + 5*g. Is g/1 + (2 - -8) a multiple of 10?
True
Let t(l) = -l**2 + l + 14*l**2 - 10 + 0*l. Does 19 divide t(-3)?
False
Suppose 5*k = 3*u - 63, -2*u + 27 = k - 28. Let g = 315 - 211. Let l = g - u. Is 24 a factor of l?
False
Let o be -4*74/(-8)*1. Let g = o - 11. Does 5 divide g?
False
Let o be 3/2 + 10/4. Suppose o*p - 171 = p. Does 19 divide p?
True
Let z(g) = -47*g - 3. Let f be z(-2). Suppose 0*v + 5*v - 144 = r, f = 3*v + 4*r. Does 3 divide v?
False
Suppose 0 = 5*b - 15, -5*b + 1 = -a - 7. Let w(v) = -v**3 + 10*v**2 - 4*v + 5. Does 31 divide w(a)?
True
Suppose 4*s - 2*j + 5*j - 943 = 0, j - 1165 = -5*s. Suppose 76 = 2*x - 0*o + 5*o, 2*o - s = -5*x. Is x a multiple of 12?
True
Let o = 4 + -6. Does 12 divide ((-143)/(-22))/(o/8*-2)?
False
Suppose 1716 = 5*u - u - 5*n, 2*u + 2*n = 876. Suppose 2*y - 11 - 5 = 0. Suppose l = y*l - u. Is l a multiple of 31?
True
Let m(k) = k**3 + 15*k**2 + k - 19. Is 6 a factor of m(-13)?
True
Let w = -2552 + 3844. Is w a multiple of 76?
True
Is 25 a factor of (11154/110)/(12/(-15) + 1)?
False
Suppose 3*g - 140 = -2*c, 4*c = c - 5*g + 212. Let x = -100 + c. Does 5 divide x/(2 - 14/4)?
False
Suppose -s + 463 = -2*p, 2*p = 3*s - 0*s - 1377. Does 13 divide s?
False
Let r(n) = n**3 + 3*n**2 - 4. Let s(u) = -3*u**2 + 1. Let c be s(1). Let m be r(c). Suppose -2*o + 15 + 39 = m. Is o a multiple of 18?
False
Suppose 2*h + 109 = y, 10 + 210 = 2*y - 5*h. Does 34 divide y?
False
Let j be 1/4*(4 + 4). Does 20 divide (-1 + (-13)/j)*-16?
True
Let x be 2/6*84/7. Suppose -x*z - 3*h + 12 = -z, 5*z - 14 = -2*h. Is 4 a factor of -2*(z + (-63)/6)?
False
Suppose -2*n + 16 = 4*g, -6*n + n - 2*g + 24 = 0. Let d be -2 - (1 - 8)*24/14. Let x = d + n. Is 14 a factor of x?
True
Suppose -y - t = 2*y - 5403, -4*y - 5*t + 7215 = 0. Does 24 divide y?
True
Suppose 3*b - 1083 = 4*s + 3613, 5*b - 7796 = -s. Does 40 divide b?
True
Let c be (-24)/40 - (-26)/10. Let x be (c/(-2))/((-1)/(-2)). Does 15 divide 4811/85 + x/(-5)?
False
Let k = 4 + -4. Suppose -j - 2*j - 6 = k. Is 3 a factor of 0/(-13) - 18/j?
True
Suppose -5*t - 6*w = -5*w - 724, 4*t = w + 572. Does 5 divide t?
False
Let o = -112 - -332. Is 44 a factor of o?
True
Let m(a) = -a**3 + a**2 - 3*a - 4. Let x be m(3). Is 17 a factor of (x/(-4))/(8/64)?
False
Is 13 a factor of (26/(-1))/(6/(-126))?
True
Suppose 0 = 5*c + 6*b - 2*b - 172, -3*c = -2*b - 112. Let f = -19 + c. Suppose 4*x - f = -5*q + 40, 0 = -4*x - 4*q + 52. Is x a multiple of 4?
True
Let t(c) = 0*c + 14 + 3*c**2 - c**3 - 12*c + 10*c**2. Suppose 0*k - 5*m - 22 = -k, -k + 3*m + 18 = 0. Is 14 a factor of t(k)?
True
Let x = 4 - -1049. Is x a multiple of 85?
False
Let k be ((-1)/(-2))/(8/16). Let z = 95 + k. Is z a multiple of 16?
True
Let t be 40/50 + (-82)/(-10). Suppose t*v - 12*v + 42 = 0. Does 7 divide v?
True
Let n be (648/16)/(1/4). Let f = n - 81. Suppose -2*c = 3*w - 3 - 129, -c - f = -2*w. Does 21 divide w?
True
Let h(v) = -16*v**3 + 4*v - 4. Let j(s) = 49*s**3 - 13*s + 13. Let l(o) = -14*h(o) - 4*j(o). Is 21 a factor of l(2)?
False
Let o = -81 + 85. Suppose v + 2*y = 21, o*v - 32 = 2*y + 3*y. Is v a multiple of 13?
True
Let b(v) = 6*v**2 + 5 - 4 + 0 + v. Let t = 55 - 56. Is 6 a factor of b(t)?
True
Let q(k) = -6*k**2 + 3*k + 3. Let v be q(-2). Let m(j) = -2*j + 51. Does 35 divide m(v)?
True
Let k(g) = -g**2 + 11*g - 8. Let w be k(10). Let c(p) = 6 + 2*p - p**2 + 0*p**w - 3*p. Is c(0) a multiple of 3?
True
Suppose 3*l + 2*i = -119, -5*l - 165 = i - 6*i. Let o = l + 82. Is o a multiple of 15?
True
Is (78 - 2)*(-1036)/(-56) a multiple of 37?
True
Let m = 1660 + -1582. Is 6 a factor of m?
True
Let h(o) = -17*o - 6. | {
"pile_set_name": "DM Mathematics"
} |
**2 + 151
Let b(i) = 9*i**3 - 7*i**2 + 3*i + 7. Let n(s) = -4*s**3 + 3*s**2 - s - 3. Let w(v) = -3*b(v) - 7*n(v). Let m(x) = -3*x**3 + 5*x. Determine -2*m(k) - 5*w(k).
k**3
Let l(u) = -11*u - 268. Let n(j) = -6*j. Calculate l(r) - 2*n(r).
r - 268
Let w(y) = -12*y**3 - 21*y**2. Let i(c) = -3*c**3 - 5*c**2. Let q = -15 - -20. Give q*w(h) - 21*i(h).
3*h**3
Let x(d) be the third derivative of d**6/60 - d**5/20 - 5*d**4/24 - d**3/2 - 19*d**2. Let b(g) = 3*g**3 - 5*g**2 - 9*g - 7. What is -3*b(k) + 5*x(k)?
k**3 + 2*k + 6
Let u(a) = a**2 - a - 2. Let y(m) = m**2 + 2*m + 4. Determine -6*u(q) - 3*y(q).
-9*q**2
Let x(d) = -65*d**3 + 35*d**2 - 35*d - 35. Let z(k) = 7*k**3 - 4*k**2 + 4*k + 4. What is -4*x(j) - 35*z(j)?
15*j**3
Let q(w) = -207*w**3 + 3*w + 3. Let u(k) = 16354*k**3 - 238*k - 238. Calculate 476*q(a) + 6*u(a).
-408*a**3
Let h(n) be the first derivative of 3*n**4/4 + 8*n**3/3 + 153. Let i(t) = t**3. Calculate h(q) - i(q).
2*q**3 + 8*q**2
Let k(d) be the first derivative of -19*d**4/4 - 2*d**3 + 3*d**2 + 6*d + 479. Let u(h) = 286*h**3 + 91*h**2 - 91*h - 91. Calculate 91*k(f) + 6*u(f).
-13*f**3
Let s(v) = -34*v - 10. Let c(b) = 69*b + 22. What is -4*c(d) - 9*s(d)?
30*d + 2
Let c(z) = -32*z**3 + 8*z**2 - z. Let n(u) = -u**3 - 2*u**2 + u. What is -c(m) - 4*n(m)?
36*m**3 - 3*m
Let r(q) = 1. Let m(u) = -2*u - 5. Let s(p) = -2*m(p) - 6*r(p). Let v(j) = -j**3 - 12*j**2 - 3*j - 35. Let i be v(-12). Let d(k) = k + 1. Give i*s(t) - 5*d(t).
-t - 1
Let d(c) be the first derivative of 5*c**2 - 9*c + 2. Let o(v) be the second derivative of 3/2*v**3 + 0 - 4*v**2 - v. Give 6*d(q) - 7*o(q).
-3*q + 2
Let y(x) = x - 1 + 5 - 4 + 2. Suppose 0 = 8*b - 7*b + 3. Let j(h) = -h - 2. Give b*y(o) - 4*j(o).
o + 2
Let l = -963 + 958. Let w(h) = 2*h - 6. Let u(i) = -3*i + 7. Give l*u(z) - 6*w(z).
3*z + 1
Suppose -4*z - 2*o + 73 = z, -4*o = -z + 19. Let q(j) = z - 6 - j - 8 - 3. Let x(m) = 12*m + 27. What is -27*q(f) - 2*x(f)?
3*f
Let s(z) = 191*z**3 + 2*z + 8. Let l(n) = -9933*n**3 - 105*n - 420. Give 6*l(w) + 315*s(w).
567*w**3
Let j(z) = 5*z**2 - 5*z + 5. Let t be (-14)/(-49) - 111/21. Let w(m) = 2*m**3 + 3*m**2 + 2*m**3 + 3*m**2 - 6*m + 6 - 3*m**3. Give t*w(f) + 6*j(f).
-5*f**3
Let x(l) = 2*l - 8. Let h(r) = 2*r - 9. Suppose 0 = -2*w + 3*j - 3, w = -j + 19 - 23. What is w*x(s) + 4*h(s)?
2*s - 12
Let l = 2357 + -2358. Let s(g) = -9*g**2 + 2*g. Let d(c) = c. Determine l*s(a) + d(a).
9*a**2 - a
Let o = 8 - 3. Let v be 2 + 2 + -6 + o. Let g(b) = -2 + 2*b + 11*b**2 - 8*b**2 + 0. Let k(t) = 4*t**2 + 3*t - 3. Determine v*g(a) - 2*k(a).
a**2
Let y(n) = -4*n - 5. Suppose 10*h - h - 108 = 0. Let d(z) = 2*z - 12 - h*z + 0*z. What is 5*d(o) - 12*y(o)?
-2*o
Let l(o) = 6*o - 3. Let v(n) = n + 1. Determine -2*l(j) + 10*v(j).
-2*j + 16
Let v(y) = -y**2 + 2*y + 2. Let j(g) = -2 - 40*g**3 - 41*g**3 - 5*g + 80*g**3 - 3 + 2*g**2. Suppose -4*t + 5 = -3. Calculate t*j(d) + 5*v(d).
-2*d**3 - d**2
Let z(f) = 5*f**3 + 11*f**2 + 3*f + 13. Let u(k) = 4*k**3 + 9*k**2 + 2*k + 11. Calculate -3*u(q) + 2*z(q).
-2*q**3 - 5*q**2 - 7
Let m(z) = 10*z**2 - 6*z + 21. Let a(s) = 9*s**2 - 6*s + 20. Let f(x) = -6*a(x) + 5*m(x). Let i(k) = 2*k**2 - 3*k + 7. What is 6*f(r) + 13*i(r)?
2*r**2 - 3*r + 1
Let y(w) = w. Let f(v) = 7*v - 4. Let n = -361 + 362. Calculate n*f(g) - 6*y(g).
g - 4
Let d(m) = 12*m**2 + 13*m + 10. Let n(j) = 4*j**2 + 6*j + 3. Give 2*d(z) - 7*n(z).
-4*z**2 - 16*z - 1
Let z(p) = -1 - 1 + 2 + p - 1. Let h(f) = -f**2 - 6*f + 4. Let g(q) = -h(q) - 5*z(q). Let w(r) = 4*r**2 + 5*r + 3. What is 5*g(n) - w(n)?
n**2 + 2
Let m(i) = -i**3 - 4*i**2 - 6*i - 2. Let v = -50 + 48. Let h be m(v). Let a(z) = -10*z**2 - 21*z + 16. Let s(p) = 2*p**2 + 4*p - 3. Determine h*a(g) + 11*s(g).
2*g**2 + 2*g - 1
Let k(b) = -5*b - 44. Let t(h) = -h - 11. Give 4*k(l) - 18*t(l).
-2*l + 22
Let y(w) = 7*w**2 + 5*w + 5. Let p(t) = t**2 + t + 1. Suppose -5*k - 175 = 2*o, 2*k + 50 + 1 = 3*o. Let f be (6/33 + 28/k)*3. What is f*y(a) + 10*p(a)?
-4*a**2
Let v(c) = 3*c**3 - 2*c**2 + c - 26. Let d(a) = -16*a**3 + 11*a**2 - 4*a + 129. Calculate -2*d(w) - 11*v(w).
-w**3 - 3*w + 28
Let y(a) = -5*a**2 + 11*a - 11. Let n(l) = -3*l**2 + 6*l - 6. Let m(p) = -p**2 + 7*p + 1. Let g be m(5). Give g*n(z) - 6*y(z).
-3*z**2
Let n(x) = 2*x - 2. Suppose -2*u - 3*j + 40 = -7*u, 4*u - j = -25. Let q(o) = o - 3. Determine u*n(t) + 4*q(t).
-6*t - 2
Let b(p) = -15*p**2 + 23*p + 4. Let m(u) = -13*u**2 + 20*u + 4. Let n(y) = 5*b(y) - 6*m(y). Let s(o) = 11*o + 0 - 3 + 12 - 7*o**2. Give 9*n(i) + 4*s(i).
-i**2 - i
Let j(i) = -9*i**3 + 9*i**2 + i + 9. Let d(f) = -24*f**3 + 22*f**2 + 2*f + 22. Calculate 5*d(p) - 12*j(p).
-12*p**3 + 2*p**2 - 2*p + 2
Let s = -1583 + 1588. Let h(l) = -8*l**3 + 15*l**2 + 6*l + 6. Let a(x) = 7*x**3 - 15*x**2 - 5*x - 5. Give s*h(y) + 6*a(y).
2*y**3 - 15*y**2
Let n(w) = 2*w**3 - 2*w - 1. Let a(j) = -j**3 - j**2 - j - 1. Let t(o) = -o**3 + 6*o**2 - 8*o - 1. Let y be t(4). Determine y*a(m) + n(m).
3*m**3 + m**2 - m
Let t(k) = -k**2 - 4*k - 2. Suppose 26 = 6*p - 16. Let o(y) = -16*y**2 + 0 + 14*y**2 - 3 - p*y. Calculate 4*o(l) - 7*t(l).
-l**2 + 2
Let m(u) = -3*u**3 + 7*u**2 + 12*u - 34. Let p(h) = 2*h**3 - 6*h**2 - 9*h + 33. Give 3*m(i) + 4*p(i).
-i**3 - 3*i**2 + 30
Let r(l) = l**3 - 9*l**2 + 8*l. Let u(p) = -p**2 + p. Let b = 171 + -173. What is b*r(c) + 18*u(c)?
-2*c**3 + 2*c
Let g(k) = k**3 - k**2 + 2. Let w(h) = 49*h**3 + 2*h**2 - 8. Determine 4*g(y) + w(y).
53*y**3 - 2*y**2
Suppose 0 = -0*v + 5*v - 20. Suppose 2 = 5*j - 3*c + 9, v*j - c = 0. Let z(p) = -p**3 - p. Let o(d) = 7*d**3 + 4*d. Calculate j*o(t) + 4*z(t).
3*t**3
Let h(n) = -64*n + 4 + 195*n - 68*n - 68*n. Let t(b) = -9*b + 8. What is -7*h(d) + 4*t(d)?
-d + 4
Let k(d) = -15*d**2. Let z(u) be the first derivative of -170*u**3 + 349. What is 135*k(o) - 4*z(o)?
15*o**2
Let b(w) = 1. Let r(t) = -2*t**2 + 2*t + 4. Suppose -17*u = -10*u + 14. What is u*b(f) + r(f)?
-2*f**2 + 2*f + 2
Let u(b) = -8*b**3 + 5*b**2 - 6*b + 5. Let h = -410 - -415. Let w(y) = 7*y**3 - 4*y**2 + 5*y - 4. What is h*w(p) + 4*u(p)?
3*p**3 + p
Let h(q) = -4*q**2 - 107*q + 3. Let s(z) = -11*z**2 - 324*z + 8. Calculate 8*h(w) - 3*s(w).
w**2 + 116*w
Let y = -134 + 141. Let r(s) = 6*s**2 + 2*s + 7*s**2 - y*s**2. Let w(x) = x**2 + x. Calculate -r(u) + 2*w(u).
-4*u**2
Let o(d) = d**3 - 3*d**2 + 2*d. Let v(a) = 9*a**2 - a - 5. Let s(w) = -4*w**2 + w + 2. Let r(g) = 5*s(g) + 2*v(g). Determine 2*o(n) - 3*r(n).
2*n**3 - 5*n
Let o(h) be the third derivative of -h**6/120 + h**4/4 - h**3 + 10*h**2 + 1. Let u(l) = -l + 1. Calculate -o(g) - 6*u(g).
g**3
Let k(z) = -4 - 30*z - 47*z + 70*z + z**2. Suppose m + 2*m - 33 = 0. Let w(c) = -3*c**2 + 20*c + 11. What is m*k(v) + 4*w(v)?
-v**2 + 3*v
Let y(g) = 9*g**3 + 2*g**2 - 8. Let i(z) = -9*z**3 - z**2 - 2*z + 10. Let c(j) = -2*i(j) - 3*y(j). Let t(l) = -l**3 - l**2 + l + 1. Give c(w) - 4*t(w).
-5*w**3
Let l(a) = -714*a**3 - 136*a - 544. Let s(w) = w**3 - w - 4. What is l(x) - 136*s(x)?
-850*x**3
Let h(q) = -7*q**3 + 5*q**2 - 4*q + 6. Let p(u) = 5 + 6*u**3 - 3*u**2 + 3*u + 16 - 26 - u**2. Calculate 5*h(s) + 6*p(s).
s**3 + s**2 - 2*s
Let n(y) = -y**2 - 3*y + 7. Let a(c) = -3*c**2 - 8*c + 20. What is 6*a(l) - 17*n(l)?
-l**2 + 3*l + 1
Let c = 124 + -117. Let t(h) = h**3 + 6. Let j(z) = -z**3 - 7. Determine c*t(v) + 6*j(v).
v**3
Let q(l) = 4*l - 2*l**2 + 55 - 51 + 5*l**2. Suppose 3*u - 17 = n, 0*u + n = -3*u + 7. Let o(f) = 4*f**2 + 5*f + 5. Give u*o(y) - 5*q(y).
y**2
Suppose -5*g + 10*g + 10 = 0. Let q(c) = -c**2 + 5*c + 3. Let h(m) = -6*m**2 + 26*m + 16. Determine g*h(f) + 11*q(f).
f**2 + 3*f + 1
Let s(h) = -34*h - 2. Let y(n) = -72*n - 4. Calculate -5*s(z) + 2*y(z).
26*z + 2
Let a(t) = 13*t + 1. Let o(c) = -4*c + 1. Determine a(j) - 3*o(j).
25*j - 2
Let h(s) = 5*s - 2. Let t be 0/2 + -2 + 1. Let u(g) = -4 + 11*g + 4 + 12*g - 24*g. Determine t*h(b) - 4*u(b).
-b + 2
Let u(f) = 2*f**2 + 2*f - 3. Let t(l) = -l**2 - l + 17. Let h(p) = 3. Let j(x) = 5*h(x) - t(x). What is 7*j(o) - 4*u(o)?
-o**2 - o - 2
Let q(k) = 16*k + 9. Let o(b) = 33*b + 17. What is -2*o(h) + 5*q(h)?
14*h + 11
Let v = 450 + -451. Let x(n) = n - 1. Let k(h) = -8*h + 1. Give v*k(d) - 2*x(d).
6*d + 1
Let x(b) be the third derivative of 0 + 0*b - 1/2*b**3 + 5/24*b**4 + 27*b**2. Let i(f) = 4*f - 2. Let v be 2/7 + 132/28 | {
"pile_set_name": "DM Mathematics"
} |
un?
1/429
What is prob of sequence bl when two letters picked without replacement from bblbbbbffbbbbblbl?
9/68
Calculate prob of sequence pw when two letters picked without replacement from {w: 5, p: 5, e: 2, v: 3, u: 1}.
5/48
Two letters picked without replacement from {b: 2, g: 1}. What is prob of sequence gb?
1/3
Three letters picked without replacement from gevggekleevuegvlegu. What is prob of sequence eve?
5/323
Three letters picked without replacement from {f: 17, m: 2}. What is prob of sequence mmf?
1/171
Four letters picked without replacement from kxxpxppkpp. Give prob of sequence xxpx.
1/168
Calculate prob of sequence bjzj when four letters picked without replacement from {a: 2, b: 4, z: 4, q: 2, j: 2}.
4/3003
Two letters picked without replacement from {t: 1, k: 3, b: 1, i: 2}. Give prob of sequence ik.
1/7
What is prob of sequence xx when two letters picked without replacement from {x: 9}?
1
Four letters picked without replacement from {s: 7, o: 5}. Give prob of sequence ssos.
35/396
What is prob of sequence lttl when four letters picked without replacement from {l: 7, p: 1, j: 2, t: 2, e: 7}?
7/7752
Three letters picked without replacement from ppppppppppppplp. Give prob of sequence plp.
1/15
What is prob of sequence chl when three letters picked without replacement from lclthlllh?
5/252
Calculate prob of sequence ayy when three letters picked without replacement from ayayaaacyyy.
10/99
Two letters picked without replacement from {o: 1, h: 1, z: 1, s: 2, m: 2}. What is prob of sequence sz?
1/21
Four letters picked without replacement from uhhhv. What is prob of sequence vhuh?
1/20
Four letters picked without replacement from uuuuu. What is prob of sequence uuuu?
1
Calculate prob of sequence oo when two letters picked without replacement from {h: 1, z: 3, o: 4}.
3/14
Four letters picked without replacement from ppqpqpmppqpquqpqp. What is prob of sequence mqqp?
9/1904
Three letters picked without replacement from zzzzzziizzzzz. What is prob of sequence zzz?
15/26
Two letters picked without replacement from {q: 3, p: 15}. Give prob of sequence qp.
5/34
What is prob of sequence wmm when three letters picked without replacement from {m: 2, w: 7}?
1/36
Three letters picked without replacement from {n: 3, d: 1, z: 5}. Give prob of sequence zzz.
5/42
Two letters picked without replacement from {g: 1, o: 3, u: 1, t: 2, y: 3}. What is prob of sequence yg?
1/30
Calculate prob of sequence pm when two letters picked without replacement from pvmvcp.
1/15
What is prob of sequence xj when two letters picked without replacement from cjccckocckkxccccxgcc?
1/190
Calculate prob of sequence rbo when three letters picked without replacement from hoobhhr.
1/105
Calculate prob of sequence ff when two letters picked without replacement from {d: 6, h: 1, g: 2, f: 3}.
1/22
What is prob of sequence twl when three letters picked without replacement from iwtlyld?
1/105
Two letters picked without replacement from {s: 4, a: 1, d: 2, z: 3, i: 1}. What is prob of sequence dd?
1/55
What is prob of sequence zzz when three letters picked without replacement from tztgttzzzzztzzt?
8/65
What is prob of sequence pc when two letters picked without replacement from ppbbkkbbppbbbbc?
2/105
Two letters picked without replacement from sdszstdtsdggsstgts. Give prob of sequence dt.
2/51
Three letters picked without replacement from {r: 1, g: 1, c: 2, p: 5, s: 1}. What is prob of sequence ccg?
1/360
Three letters picked without replacement from oqootttotgtottogttot. Give prob of sequence gog.
7/3420
Two letters picked without replacement from fovvfyyhfyhyo. What is prob of sequence vh?
1/39
Three letters picked without replacement from {k: 2, z: 2, s: 1, w: 1}. What is prob of sequence wzs?
1/60
Three letters picked without replacement from {l: 3, k: 10, e: 1, w: 1}. Give prob of sequence kew.
1/273
What is prob of sequence lp when two letters picked without replacement from {p: 2, x: 4, l: 10, u: 3}?
10/171
Three letters picked without replacement from afpaaapbaaafaaabaaa. Give prob of sequence baa.
52/969
Calculate prob of sequence zz when two letters picked without replacement from dzdsdczddddczzd.
2/35
Three letters picked without replacement from {y: 1, i: 1, m: 2, j: 3}. What is prob of sequence miy?
1/105
Calculate prob of sequence uawt when four letters picked without replacement from auuaeuwyuuett.
1/858
What is prob of sequence kbz when three letters picked without replacement from btxzztttbk?
1/180
What is prob of sequence yyg when three letters picked without replacement from {w: 1, g: 1, y: 2}?
1/12
Calculate prob of sequence vfv when three letters picked without replacement from {v: 2, x: 2, f: 1}.
1/30
What is prob of sequence nmnn when four letters picked without replacement from {a: 3, o: 2, n: 3, m: 1, k: 6}?
1/5460
What is prob of sequence kjl when three letters picked without replacement from {i: 2, v: 4, k: 5, j: 4, l: 1}?
1/168
Four letters picked without replacement from {d: 2, x: 8}. Give prob of sequence xddx.
1/45
Three letters picked without replacement from {s: 9, w: 11}. Give prob of sequence sws.
11/95
Calculate prob of sequence vxwt when four letters picked without replacement from oxvxwtosv.
1/756
Calculate prob of sequence if when two letters picked without replacement from fieienkfnkfffken.
1/24
Calculate prob of sequence oyy when three letters picked without replacement from {k: 3, f: 1, v: 7, o: 1, y: 2}.
1/1092
What is prob of sequence ee when two letters picked without replacement from errerrrrr?
1/36
What is prob of sequence fuf when three letters picked without replacement from fuyfyfuyfffuyf?
3/52
Two letters picked without replacement from rvvrrvrrrrrvvr. What is prob of sequence vr?
45/182
Two letters picked without replacement from {q: 11, u: 3, s: 1}. What is prob of sequence qu?
11/70
Three letters picked without replacement from {l: 1, v: 3, f: 4, r: 1, n: 2, q: 1}. What is prob of sequence vnf?
1/55
What is prob of sequence vv when two letters picked without replacement from {v: 6, a: 2, j: 9, p: 1}?
5/51
Calculate prob of sequence dzmw when four letters picked without replacement from {z: 2, m: 4, d: 1, l: 3, a: 1, w: 1}.
1/1485
What is prob of sequence lpp when three letters picked without replacement from glgpuspcllul?
1/165
Calculate prob of sequence xa when two letters picked without replacement from {x: 1, n: 12, z: 2, s: 1, a: 1}.
1/272
Two letters picked without replacement from {x: 2, w: 1, v: 6, a: 4, g: 3}. What is prob of sequence wg?
1/80
Four letters picked without replacement from {k: 2, c: 15, y: 3}. What is prob of sequence yyky?
1/9690
Calculate prob of sequence aa when two letters picked without replacement from {j: 8, m: 1, a: 4}.
1/13
Two letters picked without replacement from {o: 1, k: 1, n: 1}. Give prob of sequence ko.
1/6
Four letters picked without replacement from {i: 5, f: 5}. What is prob of sequence iiif?
5/84
Calculate prob of sequence xz when two letters picked without replacement from xxuaxxxxxzxy.
2/33
Two letters picked without replacement from {s: 2, r: 2, p: 5}. What is prob of sequence pp?
5/18
Calculate prob of sequence jd when two letters picked without replacement from jjqgztzd.
1/28
Two letters picked without replacement from {w: 6, g: 1, r: 3, m: 2, p: 5}. Give prob of sequence pg.
5/272
Two letters picked without replacement from {t: 4, g: 2, l: 1}. What is prob of sequence gg?
1/21
Four letters picked without replacement from cfcfcfsece. Give prob of sequence fscf.
1/210
Two letters picked without replacement from ffwirfzfrffwtfz. What is prob of sequence fi?
1/30
Calculate prob of sequence yu when two letters picked without replacement from {y: 1, h: 1, o: 2, u: 2, m: 1}.
1/21
Calculate prob of sequence wt when two letters picked without replacement from ccqccwtwqwtwwqtqctm.
10/171
Three letters picked without replacement from {f: 5, a: 9}. What is prob of sequence aff?
15/182
Calculate prob of sequence gh when two letters picked without replacement from {h: 1, u: 2, g: 2, y: 1, w: 1, r: 2}.
1/36
What is prob of sequence jaxr when four letters picked without replacement from {x: 1, j: 2, a: 1, w: 1, r: 2}?
1/210
Two letters picked without replacement from {p: 1, a: 1, y: 2, n: 2, g | {
"pile_set_name": "DM Mathematics"
} |
4 - 55*s**4/12 - 55*s**3/6 - 55*s**2/2 - 5*s. What is 55*m(i) - 6*u(i)?
5*i**3
Let q(g) be the third derivative of g**5/20 + g**4/4 - 2*g**3/3 + 4*g**2. Let d(o) = -3*o + 8*o**2 + 14*o - 11 + 6*o. What is 4*d(h) - 11*q(h)?
-h**2 + 2*h
Let p(o) = -161*o**3 - 7*o**2 + 7. Let u(y) = 107*y**3 + 5*y**2 - 5. Determine 5*p(r) + 7*u(r).
-56*r**3
Let x(a) = 2*a**2 - 4*a - 2. Let j be (3/5)/((-7)/(-35)). Let q(u) = -2*u**3 + 2 + 3*u**j - 5 + 3*u**2 - 5*u. What is -2*q(m) + 3*x(m)?
-2*m**3 - 2*m
Let m(j) = 1. Let s be (0 + 2 + -2)/2. Let l = 2 - s. Let v(w) = -5*w - w**l + w + 5*w + 6. What is 6*m(q) - v(q)?
q**2 - q
Let p(o) = -10*o**3 - 3*o**2 + o + 7. Let j(m) = -3*m**3 - m**2 + 2. Suppose 4*h - 10*h + 12 = 0. Give h*p(y) - 7*j(y).
y**3 + y**2 + 2*y
Let h(q) = q + 1. Let v(f) = -4*f - 4. Let d(y) = -3*h(y) - v(y). Let w(t) = 5. Let k(j) = -9. Let c(b) = 6*k(b) + 11*w(b). Give -3*c(u) + 2*d(u).
2*u - 1
Let n(g) = -g**2 - g - 1. Let s(i) = -i**2 - i - 2. What is -4*n(a) + 2*s(a)?
2*a**2 + 2*a
Let z be (-2)/4*1*-10. Let g(h) = -66*h + 48. Let r(w) = 22*w - 16. Let i(n) = 3*g(n) + 8*r(n). Let p(k) = -7*k + 5. Give z*i(x) - 16*p(x).
2*x
Let b(a) = 6*a**2 + 5*a + 6. Suppose t + 2*c = -0*c - 8, 5*t = -2*c - 24. Let d(i) = i**2 + i + 1. Give t*d(y) + b(y).
2*y**2 + y + 2
Suppose 4*l - 4*u - 42 + 14 = 0, 3*l + 2*u = 11. Let q(b) = b**3 + 0*b**3 + 9*b + 2*b**3. Let g(w) = -w**3 - 4*w. Give l*g(s) + 2*q(s).
s**3 - 2*s
Let s(o) = -22*o**2 - 16. Let y(q) = -15*q**3 - 2*q**2 + q. Let f(w) = w + 5. Let l be f(-4). Let p be y(l). Let j(x) = -7*x**2 - 5. Calculate p*j(z) + 5*s(z).
2*z**2
Let x(m) = 21*m - 2. Let h(r) = -32*r + 3. Determine -5*h(v) - 8*x(v).
-8*v + 1
Let i(r) = 111*r**2 - 2 + 0*r**3 - 106*r**2 - 5*r**3. Let x(q) = 11*q**3 - 11*q**2 + 4 + 2*q - 2*q. What is 7*i(o) + 3*x(o)?
-2*o**3 + 2*o**2 - 2
Let p = 10 + -5. Let i(y) = 6*y + 4. Let c(x) = 5*x + 3. Determine p*c(t) - 4*i(t).
t - 1
Let g(f) = 5*f**2 - 3*f - 2. Let d(b) = 14*b**2 - 10*b - 6. Calculate 3*d(y) - 8*g(y).
2*y**2 - 6*y - 2
Let g(z) = 11*z**2 - 13*z. Let h(p) = -6*p + 5. Let v(j) = j**2 - 1. Let q(u) = -h(u) - 5*v(u). Give -6*g(l) - 13*q(l).
-l**2
Let y(q) = -16. Let k(m) = -3. Let b(x) = 11*k(x) - 2*y(x). Let w(n) = -n - 3. Let c(a) = a**2 - 4*a + 4. Let f be c(3). Determine f*w(j) - 3*b(j).
-j
Let y(c) = 29 - 29 - 2*c. Let i(m) = -5*m. What is -2*i(k) + 4*y(k)?
2*k
Let w(s) = -11*s**3 - 3*s**2 - 3*s + 3. Let a(k) = 32*k**3 + 8*k**2 + 8*k - 8. Calculate 3*a(r) + 8*w(r).
8*r**3
Let x(p) = p**2 + p - 2. Let c(k) = k - 7. Let v(h) = 1. Let r(n) = 2*n + 4. Let i be r(-5). Let t(o) = i*v(o) - c(o). What is -t(w) - x(w)?
-w**2 + 1
Let m(s) = -7*s - 7. Let v(o) = 3*o + 3. Determine 4*m(k) + 9*v(k).
-k - 1
Let a(f) = 5*f**2 + 5*f - 2. Let z(n) = -4*n**2 - 6*n + 2. Calculate -4*a(r) - 3*z(r).
-8*r**2 - 2*r + 2
Suppose 3 = -l + 4*x + 4, 0 = 2*x - 4. Let y = l + 0. Suppose 4*d - y*d = 5. Let f(q) = q + 1. Let r(g) = 4*g + 3. What is d*r(a) + 2*f(a)?
-2*a - 1
Let w(x) = -x**2 - 1. Let a(u) = -6*u**2 - u - 7. Let t(n) = -n - 11. Let l be t(-16). Determine l*w(z) - a(z).
z**2 + z + 2
Let a(l) = 7*l**2 - 8*l + 2. Let o(m) = -3*m**2 + 4*m - 1. Calculate -2*a(d) - 5*o(d).
d**2 - 4*d + 1
Suppose 0 = 2*q - 0 + 22. Let t = q + 6. Let b(n) be the second derivative of n**3/3 - n**2/2 + n. Let r(g) = -2*g + 1. Calculate t*r(z) - 4*b(z).
2*z - 1
Let p(u) = -4*u + u + 4 + u + 3*u. Let y(j) = -1. Determine p(z) + 4*y(z).
z
Let o(w) = -w**2 + 3*w - 4. Suppose d - 2 = -24. Let n be d + (0 - 1 - -1). Suppose 3*k + 7 + 11 = 0. Let t(m) = 4*m**2 - 11*m + 15. Give k*t(a) + n*o(a).
-2*a**2 - 2
Let x(b) = b - 8. Let q(r) = -2*r + 15. Let l = -1 + 7. Determine l*q(f) + 11*x(f).
-f + 2
Let t(v) = -9*v - 6. Let i(x) = 8*x + 5. Suppose 10 = -2*q, p - 5*q = 4*p + 4. Give p*i(y) + 6*t(y).
2*y - 1
Let n(t) = 42*t**3 + 10*t**2 + 10*t - 10. Let d(z) = -14*z**3 - 3*z**2 - 3*z + 3. Determine -10*d(s) - 3*n(s).
14*s**3
Let i(o) = -3*o**2 - 4. Let x(m) = 4*m**2 + 3. Determine 3*i(v) + 4*x(v).
7*v**2
Let g be (-3)/6*(-3 + 1). Let u(i) = 1 - 6*i + 5 - 4 + g. Let j(l) = -5*l**3 - l**2 + l + 1. Let b be j(-1). Let q(r) = -7*r + 4. Determine b*q(y) - 5*u(y).
2*y + 1
Let u be ((-1)/1)/((-2)/10). Let i(r) = 9*r - 7. Let b(f) = f**2 + 5*f + 4. Let o be b(-5). Let g(m) = -3 - o*m + 7 - m. What is u*g(d) + 3*i(d)?
2*d - 1
Let u(f) be the first derivative of -7*f**4/4 + 4*f**3/3 - 2*f**2 - 5. Let w(b) = -6*b**3 + 3*b**2 - 3*b. Determine 3*u(s) - 4*w(s).
3*s**3
Let j(p) = -p**2 - 3*p - 1. Let o(s) = -3*s - 1. Give -2*j(h) + 3*o(h).
2*h**2 - 3*h - 1
Suppose 0 = b - 4*p - 19, -3*b - p - 18 = 2*p. Let i(r) = 1. Let c(a) be the first derivative of a**4/2 + a**3/3 - 4*a - 15. What is b*c(d) - 5*i(d)?
-2*d**3 - d**2 - 1
Let l(r) = -r**2 - 1. Let t(o) = 3*o**2 + 4. Let w(v) = -11*v**2 - v. Let j be w(1). Determine j*l(i) - 3*t(i).
3*i**2
Let l(j) = -j**2 - j + 1. Suppose 5*m + 3 = 8*m. Let z(f) = 2*f**2 + 6*f - 3. What is m*z(a) + 4*l(a)?
-2*a**2 + 2*a + 1
Let u(s) = s**2 - 8*s - 7. Let k be u(9). Let h(w) = w**2 - 2*w + 1. Let o be h(k). Let r(b) = b. Let m(z) = 2*z. Give o*m(d) - 3*r(d).
-d
Let l(v) = -2*v**3 - 4*v**2 + 3. Let k(t) = t**3 + 3*t**2 + t - 2. Determine 3*k(b) + 2*l(b).
-b**3 + b**2 + 3*b
Let a(m) = m - 1. Let r(b) = 4*b + 6. Give 14*a(z) + 2*r(z).
22*z - 2
Let t(y) = 6*y**2 - 4*y + 9. Let s(i) = 11*i**2 - 7*i + 16. Calculate -4*s(d) + 7*t(d).
-2*d**2 - 1
Let n(t) = -t**2 + t + 1. Let l(k) = -3*k**2 + 4*k + 7. Let z = 9 + -10. Determine z*l(g) + 5*n(g).
-2*g**2 + g - 2
Let w(y) = -5*y + 0 - 2 - 3. Let q(d) = d + 1. Suppose -3*c = -5 + 8. Calculate c*w(l) - 3*q(l).
2*l + 2
Let w(s) = -21*s**3 - 11*s. Let x(t) = 4*t**3 + 2*t. Determine 6*w(b) + 33*x(b).
6*b**3
Let j(v) = 10*v**3 - 7*v**2 - 7*v - 7. Let d(s) = -3*s**3 + 2*s**2 + 2*s + 2. Let p be (-10)/(-15)*(-21 + 0). Give p*d(o) - 4*j(o).
2*o**3
Let t(b) = -b. Let w(l) = 14*l**2 - l. What is t(o) - w(o)?
-14*o**2
Let d(w) = -22*w**2 - 4. Let r(y) = -23*y**2 + y - 5. Determine 3*d(q) - 2*r(q).
-20*q**2 - 2*q - 2
Let b(y) = -120*y + 35. Let t(x) = 7*x - 2. Determine 2*b(l) + 35*t(l).
5*l
Let u = -45 + 41. Let l(w) = -w + 3. Let z(h) = -2*h + 7. Calculate u*z(v) + 9*l(v).
-v - 1
Let b(x) = 12*x**2 + 4*x + 4. Let y(m) = -60*m**2 - 21*m - 21. Determine -21*b(p) - 4*y(p).
-12*p**2
Let o(f) = 1007*f**2 + 152*f + 152. Let j(m) = 33*m**2 + 5*m + 5. Calculate -152*j(z) + 5*o(z).
19*z**2
Let a(k) = -2*k**3 - 4*k**2 + 4. Let b(h) be the first derivative of -3*h**4/4 - 5*h**3/3 + 5*h + 1. Let j be (-5)/(25/(-5)) + 4. Give j*a(v) - 4*b(v).
2*v**3
Let i(j) = -6*j + 9. Let a be (-1)/3*3*5. Let d(w) = -7*w + 10. Give a*d(f) + 6*i(f).
-f + 4
Let z(p) = 1 - 5*p + 7*p - p. Let s(l) = l**2 + 4*l + 4. Determine s(y) - 4*z(y).
y**2
Suppose l - 13 = -z, 4*z + 1 + 1 = 2*l. Let m(i) = 2 + i + 2*i + 10*i. Let u(s) be the first derivative of 3*s**2 + s - 1. Calculate l*u(o) - 4*m(o).
2*o + 1
Let l = 2 + 3. Let c(k) = 7*k - 5*k - 3*k**2 + k + 1 - 4*k**2. Let a(s) = 4*s**2 - 2*s - 1. Calculate l*a(f) + 3*c(f).
-f**2 - f - 2
Suppose 0 = z - 10 - 2. Suppose 0 = 4*v - 6*v - z. Let i(y) = -23*y**3 - 14*y + 17. Suppose 5*l + 25 = -60. Let p(t) = 8*t**3 + 5*t - 6. Give l*p(j) + v*i(j).
2*j**3 - j
Let g(f) = -f - 11. Let v be 23/(161/30) - (-4)/(-14). Let u(j) = j + 6. What is v*g(x) + 7*u(x)?
3*x - 2
Let h(q) = 17*q**3 + q**2 - 13*q + 9. Let u(s) = 3*s - 3 + 9*s**3 + 1 - 13*s**3. Let m be 2/(-1 - 22/(-18)). Suppose -6*d = -d - 10. Calculate d*h(j) + m*u(j).
-2*j**3 + 2*j**2 + j
Let p(j) = 20*j**3 - 17*j**2 + 17. Let r(y) = -7*y**3 + 6*y**2 - 6. Let d(x) = -x**2 + x. Let w be d(0). Suppose w = 5*g - 51 + 136. Calculate g*r(u) - 6*p(u).
-u**3
Let n(j) = -j + 1. Let z(d) = 12*d - 4. Calculate 4*n(b) + z(b).
8*b
Let k(q) = 16*q**2 - 5. Let i(c) = c**2 + c - 3. Let v be i(-4). Let n = -6 + v. Let u be 2/(-3 + 1 + n). Let w(g) = -3*g**2 + 1. Calculate u*k(t) + 11*w(t).
-t**2 + 1
Let w(g) = -43*g**2 - 6*g + 6. Let r(x) = x**2 + x - 1. What is -6*r(l) - w(l)?
37*l**2
Let w(v) = -30*v + 25*v + 2 + 0. Suppose u - 2*p + 2 = 0, 4*u + 0*u = -5*p - 8. Let s(f) = -6*f + 3. Give u*s(y) + 3*w(y).
-3*y
Let k(u) = -8342*u**2. Let t(y) = 103*y**2. What is -6*k(l) - 485*t(l)?
97*l**2
Let d(g) = -2*g + 6. Let u(z) = 5*z - 17. Give 11*d(y) + 4*u | {
"pile_set_name": "DM Mathematics"
} |
1229 = 26*n - 25*n. Is n composite?
False
Suppose -q = 9 - 62. Is q composite?
False
Let y(t) = 29*t - 26. Is y(9) a prime number?
False
Let p = -104 - -213. Suppose 5*f - 100 = c, 5*c = -5*f + f + p. Is 1*(-2 - 0) + f prime?
True
Suppose 2*t + 88 = -6. Let o = t - -26. Is o/14 - 106/(-4) prime?
False
Let s be -6*3/4*-12. Suppose -3*g + s + 3 = 0. Is g a composite number?
False
Let q(b) be the second derivative of b**5/40 + 13*b**4/24 + 2*b**3/3 + 3*b. Let v(t) be the second derivative of q(t). Is v(6) a composite number?
False
Let q(d) = -d**3 - 3*d**2 + 4*d + 2. Let p be q(-4). Let s be 3 + -1 + -1 + 23. Suppose 270 - s = p*h. Is h a composite number?
True
Is (18/(-12))/(-3*(-2)/(-296)) a prime number?
False
Let j(o) = 202*o**2 - o. Is j(-1) a composite number?
True
Let v be (-5304)/(-10) - (-3)/5. Is (-2)/(-3)*v/6 a composite number?
False
Suppose -165 = -5*k + 3*u, -4*u - 66 = -2*k - 3*u. Let d(v) = -2*v**3 - 22*v**2 - v - 9. Let h be d(-11). Suppose -h*o + 5*o = k. Is o a composite number?
False
Let p(g) = -32*g + 1. Let n be p(-1). Let c = -14 + n. Suppose 4*t = 5*t - c. Is t composite?
False
Suppose 0 = w + w + j - 9, -w + 4*j = 9. Suppose -18 + 6 = w*v, -3*v - 187 = -5*n. Is n prime?
False
Suppose l + 3*r = -60 - 4, 0 = -5*l + 5*r - 340. Suppose 0 = b + 5*s + 101, 2*s = b + 34 + 102. Let z = l - b. Is z composite?
False
Suppose -4*d = 4*r - 4, 5*d + r + 0*r - 21 = 0. Suppose -c - 3*c = 4*s - 1196, d*c - 1495 = s. Is c composite?
True
Let c = 145 + 4. Is c a prime number?
True
Suppose -5*z = -5*o + 105, -7*o + 3*o + 75 = 5*z. Let r be (15/(-10))/((-6)/o). Suppose r*g - 2*p - 65 = 0, -g + 5*p + 52 = 3*g. Is g composite?
False
Let x be 5 + (2 - 2) + 0. Suppose -x*i + 857 = -3*q, -i - 2*q = -101 - 60. Is i prime?
False
Suppose 17 - 2 = 5*h. Suppose h*y + y - 1868 = 0. Is y a composite number?
False
Let f = -17 + -28. Let p be (-10)/f - 52/(-9). Is 4/p*-3 - -165 a prime number?
True
Let j(i) = 19*i**2 + 5*i - 7. Let l(q) = -q**3 + 3*q**2 + 4*q + 4. Let y be l(4). Is j(y) a prime number?
True
Let s(c) = -23*c - 25. Is s(-26) prime?
False
Suppose 2203 = x + 2*s - 1044, 3*s + 9741 = 3*x. Is x prime?
False
Suppose 2*o - 10*m + 6*m = 3986, -9944 = -5*o + 3*m. Is o prime?
True
Let i(v) = v**2 + 1. Let s(w) = 5*w**3 - 10*w**2 + 3*w - 5. Let m(n) = 6*i(n) + s(n). Is m(3) a prime number?
True
Let g(d) = -3 - 32*d + 6 + 1. Let v be g(-4). Is v/2 + 3*1 a prime number?
False
Let z(f) = f**3 + 6*f**2 + 3*f - 7. Let a be z(-5). Suppose -4*n - 2*c + 886 = 0, n + 4*c = -a*n + 888. Is n a prime number?
False
Let k(h) = 2*h**2 - h + 3. Is k(-4) a prime number?
False
Suppose -3*w + u = 6*u + 164, w = u - 68. Let y be 10/25 + 24/15. Is (0 + y)/((-6)/w) a composite number?
True
Suppose 8*s = 2451 + 4517. Is s a prime number?
False
Let j(l) = 3*l**2 + 4*l + 1. Let m(u) = 2*u**2 + 4*u + 1. Let g(f) = 4*j(f) - 3*m(f). Suppose 2*z + 2*z - 12 = 0. Is g(z) composite?
False
Let j = 9 + -9. Suppose j = -h + 4*h - 5*x - 107, -5*x = 5. Is h a composite number?
True
Suppose -4*l + 248 = 4*g, -301 = -8*l + 3*l - 2*g. Is l prime?
True
Let f = -38 + 21. Let c = 36 - f. Is c a composite number?
False
Suppose 373 + 7 = 4*c. Let j = 141 - c. Let l = j - 20. Is l composite?
True
Suppose 3 = 7*d - 2*d - 3*c, 5*d = -5*c - 5. Suppose n + d*n = 15. Is n a composite number?
True
Suppose 2*j - 4*x - 646 = j, -2*j + 1340 = 4*x. Is j prime?
False
Let u(q) = -30*q**3 - q**2 + 1. Let t be u(-1). Let b = t - 11. Is b composite?
False
Let t = 34 - -33. Is t a composite number?
False
Let m be -2*9/(-6) - -1. Is ((-2)/m)/(1/(-44)) a composite number?
True
Let q be 1 + 43 - (4 - 2). Suppose -3*w - q = -w. Let h = 58 + w. Is h composite?
False
Let u(o) = o**2 - 2*o - 1. Let q be u(-1). Suppose -326 = -q*z - 0*z. Is z a composite number?
False
Is ((-1)/2)/((-2145)/714 - -3) composite?
True
Suppose f = 260 - 49. Is f a prime number?
True
Let m = 1 - -1. Let l(w) = 222*w**2 + 3*w - 5. Is l(m) a composite number?
True
Suppose 0 = p + 3*f - 65, -7*p + 285 = -2*p - 5*f. Is p prime?
True
Let v be 2 - (-3 - (-1 - 0)). Let q = -1 + v. Suppose o = -4*m + 47, -o + q*m + 6 + 13 = 0. Is o composite?
False
Suppose -z + 5*d + 570 = 0, -554 - 13 = -z + 2*d. Is z composite?
True
Let g = -2991 + 4936. Is g a composite number?
True
Let l = 727 + -434. Is l prime?
True
Suppose 2*u + 5*c + 385 = 6*u, 0 = 3*u + 3*c - 282. Is u composite?
True
Suppose -2*o = -59 + 15. Is o composite?
True
Suppose -10 = -2*v - 3*v. Suppose 2*c + 0*n = 3*n + 22, -v*c + 26 = -n. Is c prime?
False
Let c = 1954 - 857. Is c a prime number?
True
Let l = -1199 - -2300. Is l a composite number?
True
Let j(k) = -k + 7*k - 11*k - 3 - 13*k. Is j(-5) composite?
True
Is 152 - 6*3/6 a composite number?
False
Suppose 0 = -4*f - 8*g + 4*g, -5*f + 14 = -2*g. Let y be 11/(-11)*(-1)/(-1)*-133. Suppose -3*s = -f*s - y. Is s composite?
True
Let a(d) = -89*d + 7. Let y be a(-3). Suppose 2*n - h - y = -3*h, 5*n = -4*h + 681. Is n a prime number?
False
Is 974 + (8 - (2 - -3)) a prime number?
True
Suppose 6*y - 2066 - 172 = 0. Let i(b) = 535*b + 1. Let p be i(1). Let l = p - y. Is l a composite number?
False
Suppose 0 = -3*c - 5*v + 738, -220 = -c + v + 34. Is c prime?
True
Suppose v = 25 + 132. Is v composite?
False
Let x = 63 + -12. Let y = -16 + x. Is y prime?
False
Let g be (5/(-3))/((-2)/6). Let c be 60 - 4/(8/6). Suppose g*o - 118 = c. Is o prime?
False
Suppose -4*x = -m + 223, 5*m - 1043 = -0*m - 4*x. Is m a composite number?
False
Let l = 937 - -52. Is l composite?
True
Suppose -5*w = 35 - 0. Let t = 7 + w. Suppose 5*n - 529 = -5*f + 236, t = 4*n + 2*f - 616. Is n a prime number?
False
Let k(w) be the third derivative of 0 + 1/40*w**6 - 1/60*w**5 + 0*w - w**2 + 0*w**4 + 0*w**3. Is k(1) prime?
True
Let c be 186 + 1 - (-4 - -1). Suppose -5*s + c = h, -5*h - 86 = -0*s - 3*s. Is s composite?
False
Let s(u) = -u**3 + 11*u**2 + u - 16. Let d = -6 + 17. Let g be s(d). Is 51 + g/(15/6) composite?
True
Suppose -3*j - 10423 = -4*p, 3 = 3*j + 6. Suppose 0*o - 5*o + p = 0. Is o prime?
True
Let x(g) = -5036*g. Let v be x(-3). Is (-4)/6 - v/(-36) a composite number?
False
Let s(x) be the first derivative of -x**2/2 + 10*x - 4. Let o be s(6). Suppose 360 = o*y + 84. Is y a composite number?
True
Let x = -726 + 1637. Is x composite?
False
Let u = -4226 + 6045. Is u prime?
False
Let j = 30 + -14. Suppose -j = -3*n + n - 5*c, -22 = -2*n - 2*c. Is n a prime number?
True
Suppose -j - 2*n - 4 = -2, -4*j - 3*n - 3 = 0. Let x(k) = k**3 + k + 83. Is x(j) a prime number?
True
Suppose -b + 5 = -10. Suppose -7*o + b = -2*o. Is o a composite number?
False
Let t(f) = 88*f. Let y be t(2). Suppose -v + 4*h + y = 3*v, 4*v + 4*h = 136. Let b = v - 6. Is b prime?
False
Let x(a) = -2 + 2*a + 4 - 5 + a**2 + 0. Let c be x(-4). Suppose -490 = -c*q + 4*t, -3*q - 93 + 390 = -3*t. Is q a composite number?
True
Suppose 5*s + s = 186. Is s prime?
True
Let i = 65 + -32. Suppose 2*y + 61 = -5*n - 1, n - 3*y = -26. Let d = n + i. Is d a prime number?
True
Let a = -191 - -322. Is a composite?
False
Let g be (-1)/(-2) + (-1298)/(-4). Suppose 1595 = 2*x + g. Is x prime?
False
Let r be 141/27 + (-4)/18. Let s be (-1 + r)/(2/4). Is ((-12)/s)/(3/(-68)) prime?
False
Let g = -64 - -59. Let l(p) = 32*p + 5. Let k(d) = -31*d - 4. Let b(h) = -2*k(h) - 3*l(h). Is b(g) a composite number?
False
Suppose -4*v + 281 - 1285 = -4*j, v = 0. Is j prime?
True
Suppose -2*u + 5*z = 11, 0*u = -3*u + 4*z - 20. Let w(p) = p**3 + 7*p**2 - 10*p - 11. Let a be w(u). Let v = a + 17. Is v a composite number?
True
Suppose 28 - 2 = 2*o. Is o a prime number?
True
Let j be (-2)/(-10) - (-28)/10. Let f be ((-1)/j)/((-1)/3). Is (74/4)/(f/2) prime?
True
Let d be -2*((-3 - -2) + 0). Suppose -3*h - 4*s + 253 + 66 = 0, 0 = -d*s - 10. Is h prime?
True
Suppose -204 = 3*n - 7*n. Is n a prime number?
False
Let q(f) = 17*f**2 - 3*f - 1. Let k(c) = -c**3 - 6*c**2 - 3*c + 7. Let r be k(-5). Is q(r) composite?
True
Suppose w + 110 = 2. Let s = -75 - w. Suppose -4*f + 43 = -s. Is f composite?
False
Let f = 88 - -121. Is f composite?
True
Let v(b) = b**3 + 18*b**2 - b - 16. Let i be v(-18). Suppose 0 = -4*o - 5*d + 4*d + 1272, -2*o + 646 = -i*d. Is o a prime number?
False
Let b = 202 - -211. Is b prime?
False
Let u = 4 + -5. Is u/(1*(-1)/53 | {
"pile_set_name": "DM Mathematics"
} |
est common multiple of (3/y)/(15/(-60)) and 9?
9
Calculate the common denominator of -29/12 and 105/90 + (-67949)/59313.
13956
Suppose -4*c = 3*w - 100, 29*w - 3*c = 30*w - 30. Calculate the lowest common multiple of 480 and w.
1440
Let i = 50489/14 - 3609. Calculate the common denominator of i and 67/2590.
2590
Let c be 1/2 + 70/(-4)*-3. Let t = 52 - c. Calculate the least common multiple of 9 and t/(((-9)/10)/9).
90
Let v = 758148 - 509475611/672. Calculate the common denominator of 23/24 and v.
672
Suppose 0 = -2*y + 6*y - 3*b - 96, -y = -b - 25. Calculate the least common multiple of 5028 and y.
35196
Let u = -2/5289037 - -502466483/21071523408. Find the common denominator of -73/7304 and u.
43824
Let g be ((-89)/(-1))/(6/(24/4)). Let t = -67 + g. Suppose 3*d - t = -2*s - 0*d, s - 5*d + 2 = 0. What is the smallest common multiple of 16 and s?
16
Find the common denominator of -25/12 and -18*(2/5)/(22 - (-257220)/50).
38748
Suppose 0 = 5*b, 3*b = -2*c - 0*c + 10. Suppose c*k = 4*h + 51, 4*k - 2*h - 46 = -4*h. Calculate the least common multiple of k and 35.
385
Let x = 39 + -35. Suppose -5*w = -2*w, x*w + 8 = 4*z. Suppose -4*y - 3*m + 22 = 0, -5*y + m - z*m + 33 = 0. Calculate the smallest common multiple of 7 and y.
7
Let f(g) = -14*g - 24. Suppose -187 + 191 = -l. Calculate the lowest common multiple of f(l) and 20.
160
Let q(v) = -8*v - 50. Let s be q(-6). Let z be (s - 1201029)/(-220375 + -8 + 3). Let a = 2/11019 + z. What is the common denominator of 23/242 and a?
2420
Calculate the common denominator of -61/24 and (-9 + 3507/378)/((-8)/78).
24
What is the common denominator of (2503/(-189) - -15) + (-4)/56 and 11/67?
3618
Suppose -62*i - 262*i + 5832 = 0. Suppose -5*w - 5*p + 3*p = -43, 3*w - 41 = -5*p. What is the smallest common multiple of i and w?
126
Let f(m) = -m**3 - 5*m**2 + 3*m + 5. Let q be f(-5). What is the common denominator of 0 + 1 + q/(-33) and 377/65 - (0 - -6) - 581/945?
297
Let k be (-12)/(-3)*(6 + 10/(-5)). Let w = k - -12. Calculate the smallest common multiple of 32 and w.
224
Let h(y) = -y**2 - 20*y + 189. Let c be h(-27). Find the common denominator of 1/90 and (99/(-48) - c) + 3.
720
Let v = 27208/51 - 18550909/34782. What is the common denominator of v and -119/1116?
12276
Let m(b) = 25*b + 289. Let n be m(-11). Find the common denominator of 149/60 and n/63 + (-4 - 8515/(-1710)).
1140
Suppose 0 = -k + x + 450, -59*x + 62*x - 1793 = -4*k. Calculate the least common multiple of k and 6.
2694
Let b = 759 + -675. Calculate the smallest common multiple of b and 42.
84
Suppose 2*i - 2382 = -3*p, -68*p = -70*p + 8. Calculate the lowest common multiple of i and 790.
2370
Let y = -22549/10 - -2253. Let a = 1/4618 + -91207/6927. Find the common denominator of y and a.
30
Suppose 309 - 8431 - 5680 = -103*k. Calculate the smallest common multiple of k and 1474.
1474
Let d = -18 + -36. What is the common denominator of 81/22 and d/(-15)*3/(-2)?
110
Let f = 20931 - 19763. What is the smallest common multiple of f and 32?
2336
Suppose -3*b = 2*v - 1205 - 788, -2664 = -4*b + 4*v. Let w = -6025/9 + b. What is the common denominator of w and 13/9?
9
Find the common denominator of (-1)/(-3) + 6*(-44)/(-128) and (-78)/(-2880)*5*-15.
96
Let m = -3603 - -86545/24. What is the common denominator of m and 1 + 0 - (-86)/(-51)?
408
Let x = 840 + -1491. Let j = x - -7162/11. Find the common denominator of 41/15 and j.
165
Let w be 14/27 + (-5 - -2). Let y = -2321/54 - w. Calculate the common denominator of y and (5 - 6 - 30)*9/120*-4.
10
Suppose 6*y = -y + 1757. Suppose -g = -0*u + u - 73, 0 = 3*g - 5*u - y. Suppose -70 - g = -7*s. Calculate the lowest common multiple of 27 and s.
189
Let a = 26 + -20. Suppose -3*d - a = 3, d - 6 = 3*i. Find the common denominator of -35/3 and (((-442)/24)/13)/(2/i).
24
Let d(u) = u**2 - 5*u - 11. Let j be d(6). Let w be -14 + (-2 - j) + 5. Calculate the common denominator of (-5*22/8)/(-4 - w) and 18/37.
296
Let v be 20/50*10 - 4. Calculate the smallest common multiple of ((-2820)/329)/((-2)/7) - v and 8.
120
Suppose 4*i - 156 = -4*t + 2*i, 5*t - 185 = -5*i. Find the common denominator of (-7)/4 + 10/5 and t/2 + (-1)/3.
12
Let o(g) = -19*g - 4. Suppose -290*r - 200 = -295*r. Calculate the lowest common multiple of r and o(-4).
360
Suppose 3584 = 76*h + 52*h. Let n(m) = -m + 4. Calculate the smallest common multiple of h and n(-4).
56
Suppose 668 = -96*k + 6428. What is the lowest common multiple of 10 and k?
60
Suppose -2*m + 824 = 5*v, -11*m - 845 = -5*v - 6*m. Suppose 0 = -5*y - v + 606. What is the smallest common multiple of 99 and y?
792
Let x(u) = 20*u**2 + 24*u. What is the lowest common multiple of x(-3) and (-2)/3*(-18)/(-5)*-5?
108
Suppose 9*p + 2527 + 2144 = 0. Let r = p - -520. Calculate the least common multiple of 7 and r.
7
Let z = 3168281/112 - 28288. Let y = 7933 + -999583/126. Calculate the common denominator of y and z.
1008
Suppose -5*x + 1 = n, -x + 2*n = 4*x + 2. Suppose x = 3*p - 122 + 365. Let g = p + 83. Calculate the lowest common multiple of g and 16.
16
Let k(x) = 2*x - 184. Let g(p) = p - 61. Let w(q) = -11*g(q) + 4*k(q). Let o be w(-23). Calculate the common denominator of -83/21 and (-648)/(-112) - 6/o.
21
Suppose -65 + 5 = -5*p. Suppose 2*g = -2, 3*g - 8*g - 8 = q. What is the smallest common multiple of 1*(q + 7)/(1 - 0) and p?
12
Let n be (223918/(-3))/(120/66298). Let q = n + 41235968. Let b = q - -5082/5. Calculate the common denominator of b and 50/7.
126
Suppose 4*w - 3965 = -3*n, 5*w - n = 756 + 4186. Let y = -8846/9 + w. Calculate the common denominator of 29/158 and y.
1422
Let g = 45 + -5. Suppose 2*r + 16 = -2*j, 2*j + 2*j = -2*r - g. Calculate the least common multiple of 1 and (1 - -3) + (-48)/j.
8
Let u(z) = -z**2 + 61*z + 648. Calculate the smallest common multiple of 972 and u(61).
1944
Let q = -196309 - -196335. Let p = 19 + 27. What is the smallest common multiple of q and p?
598
Let d(i) = 3*i**3 - 53*i**2 - 376*i + 40. Calculate the smallest common multiple of d(27) and 16.
41200
Suppose -4*u + 226 = -118. Let q be (-28)/6 - -4 - (-1448)/12. Let j = q - u. What is the lowest common multiple of j and 6?
102
Suppose 0 = 5*z - 5*v - 165, -311*z + 315*z + 5*v - 213 = 0. Calculate the lowest common multiple of 6153 and z.
12306
Let v = -155 - -156. What is the common denominator of 127*v/(-34) - (1 + -5) and 101/4?
68
Let d(j) = j**3 - 417*j**2 + 1662*j - 4126. Let q(b) = 26*b**2. Suppose 4 = -5*n - 1. Calculate the lowest common multiple of d(413) and q(n).
52
Let w = 592 - 330. Suppose -2*y = -0*t + t - 71, 0 = -4*t + 3*y + w. Let s = 100 - t. What is the smallest common multiple of 30 and s?
330
Suppose 0 = -15*r - 4 + 214. Suppose -r*w = -10 - 18. Calculate the lowest common multiple of w and (-8)/((1 - 0) + -2).
8
Suppose 0 = -3*w - 94*w + 485. What is the least common multiple of -1 - (-34 - (-1 + 1)) and w?
165
Let h = 20899 + -4200679/201. Find the common denominator of 23/1608 and h.
1608
Let i be (-4457)/(-682)*1221/(-2310). Let f = -1/4340 + i. Calculate the common denominator of f and -73/26.
286
Find the common denominator of -69/70 and (-30)/3 - (18089550/(-29484))/61.
8190
Let c = 5339 + -4943. Calculate the lowest common multiple of 20 and c.
1980
Let s(g) be the first derivative of -788*g**3 - g**2/2 - 5*g + 13. Let b be s(-2). Let v = b - -170311/18. What is the common denominator of 87/10 and v?
90
Suppose 3*v + 106 = t, -401*v + 4*t = -403*v - 80. Let s be ((-72)/10)/((-3)/20). Let k = v + s. What is the lowest common multiple of 12 and k?
12
Let a = -48421/12 - -4038. Let f = -111649 - -896681/8. Let k = f - 428. What is the common denominator of k and a?
24
Let d = -352343/15 + 23489. Let i = -2/1851 - 75841/46275. Calculate the common denominator of i and d.
75
Let m be (-6522)/69570*32 + 3. Let r = m + 54881/23190. What is the common denominator of 89/12 and r?
60
What is the common denominator of (-2831)/(-6270) - 14/21 and 91/22?
330
Let h = -5632 + 6002. Calculate the least common multiple of h and 37.
370
Let r = -12660002492/7617 + 1662072. What is the common denominator of r and 113/24?
60936
Suppose 23 = 5*x - 22. Let l be (-43277)/11 + (13 - x). Let v = -3933 - l. Calculate the common denominator of v and -63/5.
55
Le | {
"pile_set_name": "DM Mathematics"
} |
2778) composite?
True
Let h = 1370 - 769. Let u be 2/(-12) + (-27874)/84. Let a = u + h. Is a a prime number?
True
Let n(q) = -q**3 + 13*q**2 + 7*q + 2. Let r be n(5). Suppose 4*o = -4, 5*o - r = -a + 25. Is a a prime number?
False
Suppose 0 = -u + 24 + 9. Is ((-7620)/90)/((-2)/u) composite?
True
Let v = -8 - -3716. Suppose -v = -15*b + 3*b. Is b composite?
True
Let u = 3577 - -5604. Is u prime?
True
Suppose 0*p = 5*p + 5*y - 51140, 0 = -5*p - 4*y + 51138. Is p a prime number?
False
Suppose 0 = 357*o - 348*o - 829557. Is o a prime number?
True
Let x be (-2 + 44/8 + -3)*4. Is 92 - (1 - 8/x) a composite number?
True
Suppose m + z - 1 = -z, 4*m = 5*z + 17. Is m + -4 + 258 - 0 composite?
False
Let o(c) = 27*c - 13. Let a be o(5). Suppose 2*m + 16 - a = 0. Is m composite?
False
Let i(q) = 829*q + 3. Let c be i(-1). Let t = c + 1571. Is t a prime number?
False
Let s = -526 + 790. Let r = -123 + s. Is r a prime number?
False
Suppose 5676 = h - 7830. Suppose f = -5*f + h. Is f a prime number?
True
Let m(k) be the first derivative of 24*k**2 + 11*k - 366. Let s(a) = 2*a. Let f be s(2). Is m(f) a composite number?
True
Let y = -42 - -54. Suppose -b - 3*b = y, -4*b = -3*j + 1554. Is j a composite number?
True
Let q be (-21 + (-4 - -8))/(-1). Suppose 0 = 4*o - q + 1. Suppose -307 = -o*h + 3*d, -5*h + d = 3*d - 401. Is h composite?
False
Suppose 2 + 4 = 3*g. Suppose 5*v - 15 = g*v - 4*l, 2*l = 3*v - 15. Suppose 3*m + v*j - 200 = 0, 0 = -2*m - 4*j - 6 + 140. Is m composite?
True
Suppose 0 = m + 4 - 2. Let k be 5 - 4/(m - -6). Suppose -694 = 2*o - k*o. Is o composite?
False
Suppose 15622 = 3*n - 15*d + 10*d, 4*n - 4*d - 20832 = 0. Is n composite?
False
Suppose h = -3*k + 38279, -3*k + 5*h + 29940 = -8363. Is k composite?
True
Let j(u) be the second derivative of -u**3/3 + 751*u**2/2 - u. Let w = 33 + -33. Is j(w) composite?
False
Let o = -11829 - -97760. Is o a prime number?
True
Let c(x) = 86*x**2 - 41*x + 19. Is c(10) a composite number?
False
Let q(m) = -646*m + 25. Is q(-7) a prime number?
True
Let z(v) = 21*v**2 + v - 11. Suppose -l = 4*k + 71 + 14, 2*k + 4*l + 46 = 0. Let t = -16 - k. Is z(t) composite?
True
Let y(n) = 2*n + 1. Let z be y(8). Let c = z + 38. Is c composite?
True
Let d be 2*-1 + 583*4 + -2. Suppose 0*v + 12*v - d = 0. Is v a composite number?
True
Let g(b) = b**2 + 13*b + 3. Let s be g(-13). Suppose 0*i - h + 10 = s*i, -4*h = 8. Suppose t - i*t = -267. Is t composite?
False
Suppose d + 26076 = 13*d. Is d a prime number?
False
Let z = 38 + -28. Is (-9236)/(-10) + -5 - (-4)/z composite?
False
Suppose 4*i + 3*w - 20515 = -6585, 2*i - 2*w - 6972 = 0. Suppose 4*y - 2*f - i = 2*f, 2*y - 1733 = 5*f. Suppose b - y = -b. Is b a prime number?
False
Let j = 561 + -381. Let b be (38/(-4))/((-6)/j). Let s = b - 136. Is s a composite number?
False
Let a be (109 - (1 + -2))*1. Suppose 4*k - 14 = -2, 3*k = 5*i + 9. Suppose i = -0*l - 2*l + a. Is l a prime number?
False
Suppose -i + 5*n + 1181 = 0, -4*i - 2*n = -6*n - 4756. Is i composite?
True
Suppose 2*v = 9*v. Let p be (1 + v)*0/2. Suppose 2*m + p*m - 1106 = 0. Is m a prime number?
False
Suppose -f + 54 = 10. Let l = f + 5. Is l prime?
False
Suppose l = -2*l + 30. Suppose -l*b + 9387 = -b. Is b a composite number?
True
Let j(v) = -7*v**2 - v + 19. Let o(r) = 4*r**2 + r - 10. Let l(i) = 6*j(i) + 11*o(i). Let a be l(-2). Suppose -178 = a*k - 1016. Is k prime?
True
Let v(s) = -82*s - 16 - 6 + 35 + 18. Is v(-9) a composite number?
False
Let s = 3 - 0. Suppose 4*h = 6*t - t - 1655, -5*t + 2*h + 1655 = 0. Suppose -2*u + s*k = -662, 2*k - t = -3*u + 2*u. Is u prime?
True
Suppose -4*c - 7*s + 10*s + 31571 = 0, 5*c = -s + 39478. Is c composite?
True
Let l(h) be the third derivative of -h**6/12 + h**3/6 + 5*h**2. Let u be l(-1). Suppose 1490 = -9*q + u*q. Is q composite?
True
Let m = -12 + 28. Let x be m/(-24) - 928/(-6). Let r = x - 39. Is r prime?
False
Let j(f) = 18*f**2 + 4*f + 219. Is j(20) composite?
False
Suppose -f + 14 - 9 = 0. Let t = f + -3. Suppose -3*u + 51 = -t*u. Is u a prime number?
False
Let g = 2717 + -1048. Let m = -984 + g. Is m composite?
True
Suppose 0 = 6*w - 3*w - 1902. Let f = w - 135. Is f composite?
False
Let d = -130 + 919. Let n = d + -254. Suppose -4*l - 621 = -3*s, -3*s = -2*l - 92 - n. Is s a prime number?
True
Let g(d) = d + 3. Let v be g(2). Suppose x = -4, 2*f + x = v*x + 1002. Is f prime?
False
Suppose -6*a + 5536 + 122 = 0. Is a composite?
True
Let b(g) = -4*g**3 + 4*g**2 - 2*g - 11. Is b(-9) prime?
False
Suppose -6*p + 11338 = -10202. Let q = p + -1729. Is q a composite number?
False
Let v(j) = 6*j**3 - 3*j**2 - 4*j + 5. Let p(n) = 5*n**3 - 3*n**2 - 4*n + 4. Let x(b) = -3*p(b) + 2*v(b). Let z be x(-4). Let y = z - 125. Is y composite?
False
Let d = 7037 + -694. Is d prime?
True
Let o(y) = -2*y**2 + 7*y**3 - 10*y**3 - y + 5*y**3 + 15 - y. Let k(h) = h**2 + 9. Let r be k(0). Is o(r) a prime number?
False
Let f be (6/2*-1)/(-18 - -17). Let h(a) = -3 + 4*a + 7*a**2 + 2*a**2 - 1. Is h(f) composite?
False
Let i(f) be the second derivative of -f**4/12 - 11*f**3/6 - 7*f**2 - 11*f. Let s be i(11). Let p = -55 - s. Is p composite?
True
Let i(j) be the first derivative of -3 + 14*j + 13/2*j**2. Is i(11) a prime number?
True
Suppose 2*y - 2*b = 464, 3*b = 2*y - y - 242. Let a = y - 158. Is a prime?
False
Suppose 4*w - 7*w + 9 = 0. Suppose 4*g = 5*o - 1255, -w*o + 3*g + 1095 = 342. Is o composite?
False
Suppose -140661 - 5973 = -6*m. Is m a composite number?
False
Suppose 2*c - 3773 = -9*c. Suppose -4*t = 2*g - 444, -t + 4*t - c = -4*g. Is t a prime number?
True
Suppose 8089 = 3*j - 23504. Is j composite?
False
Let k(l) = 16*l**2 - 2*l + 6. Let r be k(4). Let j = -209 - -213. Suppose o = -j*a + 5*a - r, 3*o + 513 = 2*a. Is a a composite number?
True
Suppose 2*b - 49 = 145. Let d(q) = q**2 - 9*q - 14. Let l be d(11). Suppose -3*v + b = -l. Is v a prime number?
False
Let c(i) = i**3 + i + 3. Let d be c(0). Suppose x + 0 = d. Suppose -x*q = 0, 396 = 5*m - 3*q - 719. Is m a composite number?
False
Suppose -94895 = -13*v - 16128. Is v composite?
True
Let u be (-8 - -14)*825/2. Is ((-8)/(-4) - 0) + u a composite number?
False
Suppose 0 = 2*d + 4*d + 4962. Let a = d + 1786. Is a a prime number?
False
Let g = -10273 + 20040. Is g a prime number?
True
Let n be -24*((-140)/8)/(-7). Let g = -7 - n. Suppose g = 5*k + 18. Is k a composite number?
False
Let y(a) = -425*a - 16. Is y(-19) a composite number?
False
Suppose -20 = -4*m, -2*m = 4*h + m - 12403. Is h composite?
True
Suppose 3*v = 3*j - 12, 0 = -4*v - 3*j + 8 + 11. Is v/((2/(-1838))/(-10 - -9)) composite?
False
Suppose 2*o - y = 37595, -5*o - 7*y = -12*y - 93990. Is o composite?
False
Suppose -264 = -a + 5*a. Is ((-6)/12)/(3/a) a composite number?
False
Let q(d) = -242*d - 48. Is q(-35) prime?
False
Suppose 0 = -2*o - 0*o + 10, -5*q + 60 = o. Suppose 4*i + 72 = -2*n, -5*i - 72 = -n + q. Let c = 196 + i. Is c prime?
True
Let j be (24/(-15))/(-4)*170. Suppose c = 3*c + j. Let b = c + 47. Is b prime?
True
Let z(l) = 5*l**3 - 3*l**2 + 4*l - 2. Let o(u) = -u**2 - 6*u + 2. Let w = -21 - -15. Let x be o(w). Is z(x) a prime number?
False
Is (-13291)/(-3)*((10 - 4) + 9) prime?
False
Suppose j = 5*j + f - 4121, 5*j - 5*f - 5120 = 0. Let u = -697 + j. Let x = 1473 - u. Is x prime?
False
Suppose -8*s = 3*s - 22. Let l(t) = 50*t**3 - 3. Is l(s) composite?
False
Let a(i) = 2*i - 5. Let u be a(7). Let y(w) = 0*w - 5 + u*w - 3. Is y(5) a composite number?
False
Suppose l - 7258 - 9393 = -k, l - k = 16647. Is l composite?
False
Let f = -2264 - -4121. Let l = f + -1004. Is l prime?
True
Let a(q) = 14*q**3 - 3*q**2 + 10*q + 1. Let f(h) = 28*h**3 - 6*h**2 + 19*h + 2. Let c(n) = -7*a(n) + 4*f(n). Is c(6) a composite number?
False
Suppose -t = 3*s - 1288 - 1073, -5*t = 5*s - 11765. Suppose -a - l = -1182, -a = a + 5*l - t. Is a prime?
True
Suppose -28091 = -3*v - 4*l, 8*l - 4*l = -5*v + 46805. Is v composite?
True
Let j = 16 - 317. Let p = j - -1064. Is p a composite number?
True
Suppose -39*c + 15192 = -15*c. Is c prime?
False
Let q be 35/2*(-684)/(-95). Suppose 9*g + q = 3*g. Let w = g - -103. Is w prime?
False
Suppose 105*v - 97*v = 5528. Is v prime?
True
Let r(g) be the second derivative of g**4/6 + g**3/2 - 11*g**2/2 - 5*g. Is r(-8) a prime number?
Fal | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of 1436*i**5*y**2 + 2*i**4*y**2 + 26*i*y**2 + 8*i*y wrt i.
28720*i**3*y**2 + 24*i**2*y**2
What is the derivative of -47*n**4 + n**3 - 1473?
-188*n**3 + 3*n**2
Find the third derivative of 2*b**4*v**3 + b**4*v - 2*b**3*l*v - b**2*v**2 + 3*b*l*v**2 - 18*b*l*v - 3*v**3 wrt b.
48*b*v**3 + 24*b*v - 12*l*v
Differentiate -2544*z + 1057.
-2544
What is the second derivative of -190*h**5 - 8*h - 3 wrt h?
-3800*h**3
Find the second derivative of z**4 + z**3 + 863*z**2 - 129*z + 5.
12*z**2 + 6*z + 1726
Differentiate 233*h*o**2 - 268*o**2 - 2*o with respect to h.
233*o**2
Find the second derivative of -2*s**5 + 1588*s**4 + 215*s + 22.
-40*s**3 + 19056*s**2
Find the first derivative of -2129*x + 5902 wrt x.
-2129
Find the third derivative of -2*v**5 + 115*v**4 + 3*v**3 + 3*v**2 - 2*v + 10.
-120*v**2 + 2760*v + 18
What is the second derivative of 209*b**2*o**3 + b**2*o**2 + 3*b - o**3 + 10 wrt b?
418*o**3 + 2*o**2
What is the third derivative of 7*t*y**6 + t*y**2 + 10*t*y - 38*y**4 - 2*y**3 + 7*y**2 wrt y?
840*t*y**3 - 912*y - 12
Differentiate -19884*m**3 - 11630 wrt m.
-59652*m**2
What is the derivative of 289*g*i**2 + i**2 + 863 wrt g?
289*i**2
Find the first derivative of -15*f**3 + 5*f**2 - 376.
-45*f**2 + 10*f
What is the third derivative of 2141*i**5 + 4*i**3 + 17733*i**2?
128460*i**2 + 24
Find the third derivative of 1002*p**6 - p**5 - 872*p**2.
120240*p**3 - 60*p**2
What is the third derivative of -736*d**3*x**3 + 2*d**3*x**2 - 119*d**2*x**2 - d*x**3 wrt x?
-4416*d**3 - 6*d
What is the second derivative of -3*l**2*n*q + l**2*q**2 + 2*l**2 - 3*l*n*q**2 + 40*l*q**2 wrt l?
-6*n*q + 2*q**2 + 4
What is the second derivative of -713*j**2 - 5*j - 4 wrt j?
-1426
Find the first derivative of 2*n**2*r + 2*n**2 - n*r*y**2 + 4*n*y**2 + r*y**2 - 3*r*y - 79*r wrt n.
4*n*r + 4*n - r*y**2 + 4*y**2
Differentiate 362*c**2 + c - 829 with respect to c.
724*c + 1
What is the third derivative of -17*n**4*q**3 + n**4 - 37*n**3*q**3 + 2*n**2*q**3 + 40*n**2*q - 5*n*q**3 wrt n?
-408*n*q**3 + 24*n - 222*q**3
What is the second derivative of 2*l**2*v - 51*l**2 - 5*l*v - 8*v wrt l?
4*v - 102
What is the derivative of -22*o - 21?
-22
What is the derivative of 4603*d - 6017 wrt d?
4603
Find the first derivative of 12*h**2*t**2 - 16474*h**2 + 5*h*t**2 - 26*h*t wrt t.
24*h**2*t + 10*h*t - 26*h
What is the second derivative of 2*m**3*s - 44*m**2*s**2 + 467*m*s**2 - m*s wrt m?
12*m*s - 88*s**2
What is the first derivative of -1536*g*y - 5*y + 28 wrt g?
-1536*y
What is the second derivative of 28*a**3 + a**2 + 471*a?
168*a + 2
Find the second derivative of -3126*i**5 - 3312*i.
-62520*i**3
Differentiate 149*j**4 - 6*j**2 - j + 4630.
596*j**3 - 12*j - 1
Differentiate -2*r**3 - 170*r**2 - 5*r - 1400.
-6*r**2 - 340*r - 5
Differentiate 5*j**4*w**2 - 270*j**4 - 2*w**2 - 28*w - 2 with respect to j.
20*j**3*w**2 - 1080*j**3
What is the second derivative of n**3 + 4*n**2 + 124*n wrt n?
6*n + 8
Find the first derivative of -46*c**4 + 6*c**3 + 3221.
-184*c**3 + 18*c**2
What is the third derivative of -30*q**5 - 904*q**2?
-1800*q**2
Differentiate 4*m**3*s**4 + 186*m**3*s**3 + 1766*m**3 with respect to s.
16*m**3*s**3 + 558*m**3*s**2
Find the first derivative of 3*v**4 + 1710*v**3 + 2*v**2 + 7493 wrt v.
12*v**3 + 5130*v**2 + 4*v
Find the second derivative of j**3*s**2 - j**3*s + 82*j**2*s - j*s**3 + 55*s**4 wrt s.
2*j**3 - 6*j*s + 660*s**2
Find the second derivative of 4464*m*w**2 + 1626*m*w + m + 2*w wrt w.
8928*m
What is the third derivative of 785*i**3 - 1772*i**2?
4710
Find the second derivative of 470*h**2 + 704*h.
940
What is the second derivative of -1525*p**3 + 49*p - 3?
-9150*p
What is the third derivative of 2*c**6 - 18*c**5 - 41*c**4 - 179*c**2 + 2 wrt c?
240*c**3 - 1080*c**2 - 984*c
What is the first derivative of m**2*r**2 - 37*m**2*r - 398*m**2 + m*r**2 wrt r?
2*m**2*r - 37*m**2 + 2*m*r
What is the derivative of -1007*v**3 - 1893 wrt v?
-3021*v**2
What is the derivative of -2*c**2*y*z**3 + 112*c**2*y*z - 2*c**2*z**3 - 4*c**2*z**2 - 3*c wrt y?
-2*c**2*z**3 + 112*c**2*z
Find the third derivative of 179*b**3*q - 69*b**2 - b*q + b wrt b.
1074*q
What is the third derivative of 261*g*p**3 - 28*g*p - 3*p**2 wrt p?
1566*g
What is the first derivative of -28*t**3 + 3*t + 141 wrt t?
-84*t**2 + 3
What is the third derivative of 129*d**3*u**3 - 3*d**3*u**2 + 49*d**3*u - 4*u**3 wrt u?
774*d**3 - 24
Find the third derivative of -626*s**4 - 55*s**2 + 2*s wrt s.
-15024*s
Find the second derivative of -3299*b*l**2 - b + l - 31 wrt l.
-6598*b
What is the derivative of -2341*y**2 + 7966 wrt y?
-4682*y
What is the first derivative of -44*a**4 + 18*a**3*w**2 + 56*w**2 - 25 wrt a?
-176*a**3 + 54*a**2*w**2
What is the third derivative of -6*h**4*i**3 + 28*h**4 + h**3*i + 4*h**3 - 2591*h**2*i**3 - 4*h**2 wrt h?
-144*h*i**3 + 672*h + 6*i + 24
What is the third derivative of 90*f*j**4 + 4*f*j**2 + 317*f - 4*j**6 - 1 wrt j?
2160*f*j - 480*j**3
Find the third derivative of 96*t**4 + 7*t**2 - 2*t.
2304*t
Find the first derivative of 9*g**4*u - 24*g*u**3 - 67*u**3 wrt g.
36*g**3*u - 24*u**3
What is the second derivative of -309*a**2*j**2 + 74*a*j + 3*a - 2*j**2 wrt a?
-618*j**2
Find the first derivative of 682*v**2 + 940.
1364*v
Find the third derivative of 2*o**2*t**3 - 8*o**2*t**2 - 2*o**2 - 4*o*t**5 - 7*o*t + 8*t**3 - 3 wrt t.
12*o**2 - 240*o*t**2 + 48
Find the second derivative of 2*k**4 - 4*k**3 - 94*k**2 - 6204*k.
24*k**2 - 24*k - 188
What is the derivative of 12694*b**3 + 18767?
38082*b**2
What is the third derivative of 12*h**6*k**3 + 4*h**4*k**3 + h**3 - 4*h**2*k**3 + 10*k**3 wrt h?
1440*h**3*k**3 + 96*h*k**3 + 6
What is the first derivative of 50*s**2 + 173 wrt s?
100*s
Differentiate 481*f**3 - 299 wrt f.
1443*f**2
What is the third derivative of -3667*p**4 + 9*p**2 - 42*p?
-88008*p
Find the third derivative of 6*x**5 + 14*x**4 + 1416*x**2.
360*x**2 + 336*x
What is the derivative of -6739*q*s + 10411*q wrt s?
-6739*q
What is the second derivative of 3788*p**4 - 6064*p wrt p?
45456*p**2
Differentiate -2*k**3 - 208*k + 3340 wrt k.
-6*k**2 - 208
Differentiate -j*o + 449*j + 60*o**4 + o**2 with respect to o.
-j + 240*o**3 + 2*o
What is the derivative of 4*h*o + 5*h - 56*o + 22 wrt o?
4*h - 56
What is the third derivative of -8919*j**2*r**3 + 581*j**2*r - 6*j*r**2 wrt r?
-53514*j**2
Find the second derivative of -361*i**3*w**2 - 2*i**3*w + 3*i**2*w**2 - 3832*i*w + 2*w wrt w.
-722*i**3 + 6*i**2
Find the third derivative of -19*b*h**3*n**2 + 10*b*h**2*n**2 - 2*b*h**2*n + 147*h**3*n**2 - 5*h**2*n - h**2 - 2*n**2 wrt h.
-114*b*n**2 + 882*n**2
What is the third derivative of a**3*k**3*o - 110*a**3*k*o - 4*a**2*k**3 - 41*a*o - 2*k**3*o wrt a?
6*k**3*o - 660*k*o
Find the second derivative of -2*k**5*n + 3979*k**2*n + 68*k*n - 2*k - 87 wrt k.
-40*k**3*n + 7958*n
What is the first derivative of 2*j**3*m - j**3 - 101*j*m**3 + 100*j wrt m?
2*j**3 - 303*j*m**2
Find the third derivative of -1780*y**3 - y**2 - 2*y - 22 wrt y.
-10680
What is the derivative of 19*a*k - 191*a - 3*k**2 - 3*k - 2 wrt k?
19*a - 6*k - 3
What is the third derivative of 20303*q**6 - 4*q**2 + 10*q - 21?
2436360*q**3
What is the third derivative of 1309*y**4 + 1516*y**2 wrt y?
31416*y
Find the first derivative of -2*s**3*t**2 - s**3 - 16*s*t**2 - 9*s + 23*t + 19 wrt t.
-4*s**3*t - 32*s*t + 23
What is the second derivative of -3*l*u**3*w**2 + 3*l*w**2 - 6*l*w + 10*u**3*w**2 - 8*u**3*w wrt w?
-6*l*u**3 + 6*l + 20*u**3
Find the second derivative of -47*j**3*v**3 - 2*j**3*v + 4*j**2*v + 54*j*v**3 - 880 wrt v.
-282*j**3*v + 324*j*v
What is the third derivative of 6*m**3*p**3 - 28*m**3*w + 2*m**2*p**3 + 90*m**2*p**2*w + m**2*p + 2*m*p**3*w + 3*p*w wrt m?
36*p**3 - 168*w
What is the second derivative of 308*h**4 - 530*h wrt h?
3696*h**2
Find the first derivative of 147*k*t**2 - 118*t**2 wrt k.
147*t**2
Find the third derivative of 138*f**6 - f**3 + 126*f**2 wrt f.
16560*f**3 - 6
What is the third derivative of 2*p**4*r + 2*p**3*r*s**2 + 5*p**3*r*s - p**2*s**2 - p*r*s**2 - 2*r*s**2 + 4 wrt p?
48*p*r + 12*r*s**2 + 30*r*s
Find the first derivative of -1515*f - 574.
-1515
What is the second derivative of 22412*c**2 - 2467*c wrt c?
44824
Find the first derivative of -1088*z + 2344.
-1088
What is the third derivative of 5*f*s**4 - 7*f*s* | {
"pile_set_name": "DM Mathematics"
} |
iven that 2*a**2/11 + 318005580*a/11 + 12640943613892050/11 = 0.
-79501395
Suppose 2*r**5 + 2019502*r**4 + 509813687054*r**3 + 7646878149554*r**2 + 32116452829552*r + 24979386347552 = 0. Calculate r.
-504868, -7, -1
Determine y so that -3*y**5 - 363*y**4 + 135666*y**3 - 10099080*y**2 + 254728800*y - 1193616000 = 0.
-307, 6, 60
Determine t, given that -t**5/9 + 3250*t**4/9 + 26053*t**3/9 + 35846*t**2/9 - 8684*t/3 - 4344 = 0.
-6, -2, -1, 1, 3258
Suppose 2*j**5/7 - 19416*j**4/7 - 77702*j**3/7 + 58252*j**2/7 + 194256*j/7 - 155392/7 = 0. Calculate j.
-4, -2, 1, 9712
Solve -4*g**2 + 9658332*g - 38633264 = 0.
4, 2414579
Let 4*p**3 + 948712*p**2 - 1897436*p + 948720 = 0. Calculate p.
-237180, 1
Solve 4*r**3 + 53368*r**2 - 25625796*r - 25679160 = 0.
-13806, -1, 465
Determine w, given that 21*w**3/4 - 162543*w**2/8 + 39317265*w/2 - 11232675/8 = 0.
1/14, 1935
Suppose -2*z**4 + 8022*z**3 - 95994*z**2 + 71938*z + 175956 = 0. Calculate z.
-1, 2, 11, 3999
Factor -4*f**2 - 3654160*f.
-4*f*(f + 913540)
Find c, given that 3*c**4/4 + 13914*c**3 + 1440972*c**2 + 37412544*c = 0.
-18448, -52, 0
Find l such that -3*l**3 + 8829834*l**2 + 132448143*l + 123618306 = 0.
-14, -1, 2943293
Find l such that -603*l**2 + 1938*l + 17400 = 0.
-4, 1450/201
Factor q**3 + 141*q**2 - 9148*q + 123648.
(q - 28)*(q - 23)*(q + 192)
Let 2*v**2/3 + 22540*v/3 + 10934192/3 = 0. What is v?
-10762, -508
Find i, given that 10*i**4 - 33315*i**3 - 1092835*i**2 - 1564260*i = 0.
-31, -3/2, 0, 3364
Solve -4*i**4 + 5608*i**3 - 2690244*i**2 + 509779088*i - 29283468800 = 0 for i.
100, 347, 608
Solve h**4/11 - 2396*h**3/11 + 49875*h**2/11 = 0 for h.
0, 21, 2375
Factor -115*v**2 + 4160*v - 720.
-5*(v - 36)*(23*v - 4)
Factor 4*j**4/5 - 220564*j**3/5 - 220568*j**2/5.
4*j**2*(j - 55142)*(j + 1)/5
Determine a so that -12*a**3 + 43773*a**2/4 - 2236323*a - 120810915 = 0.
-705/16, 478
What is y in y**3/4 - 3956223*y**2/4 + 3912927084543*y/4 - 3912923128321/4 = 0?
1, 1978111
What is j in 39*j**5 - 3210*j**4 + 35346*j**3 - 123180*j**2 + 63975*j + 225750 = 0?
-1, 43/13, 5, 70
Solve -3*g**5/8 + 14175*g**4/8 + 170739*g**3/4 + 1068225*g**2/4 + 2850525*g/8 - 5342625/8 = 0 for g.
-15, -5, 1, 4749
Solve 2*l**3 - 382692*l**2 - 1530792*l - 1530800 = 0.
-2, 191350
Factor -2*d**3/7 - 428488*d**2 - 1124559043210*d/7 + 2249130084100/7.
-2*(d - 2)*(d + 749855)**2/7
Factor t**2/12 - 427163*t/3 + 22212307/12.
(t - 1708639)*(t - 13)/12
Factor -i**3 - 21997*i**2 - 124714128*i - 40888482624.
-(i + 349)*(i + 10824)**2
Factor 95*l**2 - 93730*l - 2010225.
5*(l + 21)*(19*l - 19145)
What is g in -6*g**4/5 - 221406*g**3/5 - 309888*g**2 + 3984552*g/5 = 0?
-36894, -9, 0, 2
Find u such that u**3 + 2167*u**2 + 863691*u + 861525 = 0.
-1641, -525, -1
Factor -1178*v**4 + 2509*v**3 - 1484*v**2 + 153*v.
-v*(v - 1)**2*(1178*v - 153)
Solve -3*s**3/2 - 31968*s**2 + 383697*s/2 - 287793 = 0 for s.
-21318, 3
Solve 61*c**4 + 611*c**3/2 - 12683*c**2/2 - 52*c = 0.
-13, -1/122, 0, 8
Find t, given that -2*t**2/3 + 320546660*t/3 - 12843770154644450/3 = 0.
80136665
Factor -2*f**2/7 - 14514*f/7 + 3521240/7.
-2*(f - 235)*(f + 7492)/7
Determine s, given that -3*s**5 + 474336*s**4/5 - 4931532*s**3/5 + 379344*s**2 = 0.
0, 2/5, 10, 31612
What is b in -2*b**5 - 7976*b**4 + 47930*b**3 + 7976*b**2 - 47928*b = 0?
-3994, -1, 0, 1, 6
Factor 5*g**2/4 + 203335*g/4.
5*g*(g + 40667)/4
Factor 154*o**2 + 53774186*o + 1396732.
2*(o + 349183)*(77*o + 2)
Factor 5*q**3 - 32445*q**2 - 30451205*q - 30418755.
5*(q - 7321)*(q + 1)*(q + 831)
Factor l**2 - 3398964*l + 64579955.
(l - 3398945)*(l - 19)
Let 4*a**2 - 268836*a + 29255600 = 0. What is a?
109, 67100
Factor -3*n**3 + 31956*n**2 - 80241408*n - 26229878784.
-3*(n - 5472)**2*(n + 292)
Factor w**3/5 - 176*w**2/5 + 5353*w/5 - 5838.
(w - 139)*(w - 30)*(w - 7)/5
Factor -v**2/3 + 4226711*v/3 - 4226710/3.
-(v - 4226710)*(v - 1)/3
Let 14141*n**2/3 + 10*n = 0. What is n?
-30/14141, 0
Determine h, given that 3*h**3 + 1461*h**2 - 127707*h + 369891 = 0.
-563, 3, 73
Factor -h**2/4 - 13121*h/4 + 111673/2.
-(h - 17)*(h + 13138)/4
Factor -5*w**3 - 231150*w**2 - 12471165*w - 168311520.
-5*(w + 27)**2*(w + 46176)
Factor -4*r**3 + 516016*r**2 - 16726847956*r + 5463809431080.
-4*(r - 64337)**2*(r - 330)
Factor -4*u**2 + 8745516*u - 17491016.
-4*(u - 2186377)*(u - 2)
Suppose b**2 + 2060808*b + 14425607 = 0. What is b?
-2060801, -7
Factor 2*y**2/3 + 6637894*y + 19913680/3.
2*(y + 1)*(y + 9956840)/3
Factor -2*b**2/7 + 26308*b/7 + 35134944/7.
-2*(b - 14376)*(b + 1222)/7
Factor -v**2/5 + 30956*v/5 - 6975483/5.
-(v - 30729)*(v - 227)/5
Factor -y**3/3 - 21062469*y**2 - 332720689750736*y + 998162132439616/3.
-(y - 1)*(y + 31593704)**2/3
Determine a so that -a**3/4 - 98273*a**2/2 - 2414739551*a - 33796723646 = 0.
-98266, -14
Factor -z**2/2 - 108543*z + 17156035/2.
-(z - 79)*(z + 217165)/2
Solve -2*t**3/13 + 25820*t**2/13 - 1516754*t/13 + 4317936/13 = 0 for t.
3, 56, 12851
Solve -2*y**4/9 - 50268*y**3 + 1357256*y**2/9 + 50268*y - 150806 = 0 for y.
-226209, -1, 1, 3
Solve 2*d**4/3 - 164*d**3/3 - 1298*d**2/3 + 116804*d/3 + 39312 = 0 for d.
-26, -1, 28, 81
Factor -p**2 + 9316*p + 524832.
-(p - 9372)*(p + 56)
Solve z**4/5 - 409*z**3/5 + 19237*z**2/5 + 16461*z + 62658/5 = 0 for z.
-3, -1, 59, 354
Factor 4*t**2 - 4030184*t + 8060352.
4*(t - 1007544)*(t - 2)
Find a such that -3*a**2/4 - 23869893*a/4 + 53707320 = 0.
-7956640, 9
Suppose -4*k**2 + 95652240*k - 571834438563600 = 0. What is k?
11956530
Solve 33*q**5 - 5743*q**4/2 + 114597*q**3/2 + 4007*q**2/2 - 114663*q/2 + 868 = 0 for q.
-1, 1/66, 1, 31, 56
Factor s**3 - 2756226*s**2 - 16537392*s.
s*(s - 2756232)*(s + 6)
Solve g**2/5 - 11326536*g/5 + 32072604439824/5 = 0 for g.
5663268
Suppose h**3 + 521047*h**2 + 7815480*h = 0. Calculate h.
-521032, -15, 0
Factor 4*g**2/7 + 8000472*g/7 + 4000472013924/7.
4*(g + 1000059)**2/7
Let -q**5 - 1789*q**4/2 + 542947*q**3/2 - 135513*q**2 = 0. Calculate q.
-1134, 0, 1/2, 239
Let -2*o**4/5 + 284*o**3/5 + 1326*o**2 + 35208*o/5 = 0. Calculate o.
-12, -9, 0, 163
Solve 22*p**2 + 159166*p - 347376 = 0.
-7237, 24/11
Find u such that -2*u**3/5 + 16082218*u**2 = 0.
0, 40205545
Find n, given that 4*n**2 + 370381120*n + 8573885878278400 = 0.
-46297640
Factor -w**2/6 + 30661*w/3 + 1208320.
-(w - 61440)*(w + 118)/6
Factor o**2 - 1506226*o + 567179190769.
(o - 753113)**2
Determine t, given that -2*t**4 - 11088*t**3 + 177774*t**2 - 811580*t + 1000800 = 0.
-5560, 2, 5, 9
Factor 5*b**3 + 7115*b**2 + 49470*b - 127440.
5*(b - 2)*(b + 9)*(b + 1416)
Determine k so that 2*k**2/7 + 11728*k/7 + 13417496/7 = 0.
-4306, -1558
Find p such that 5*p**2 - 61920*p + 185715 = 0.
3, 12381
Solve g**3 - 52477376*g**2 + 688468538051792*g + 5507751662966912 = 0 for g.
-8, 26238692
Solve -265*x**5 - 246985*x**4 + 4015125*x**3 + 322825*x**2 - 4014860*x - 75840 = 0.
-948, -1, -1/53, 1, 16
Let 3*b**2/7 - 1205415*b/7 = 0. What is b?
0, 401805
Determine v so that 5*v**3 - 102355*v**2 + 6123300*v = 0.
0, 60, 20411
Suppose -2*t**2/13 - 17888596*t/13 - 40000233356402/13 = 0. Calculate t.
-4472149
Let 4*b**3 - 37280*b**2 + 1338192*b - 12032064 = 0. What is b?
18, 9284
Factor w**4/4 + 188583*w**3/4 + 11854515963*w**2/4 + 248395575983381*w/4.
w*(w + 62861)**3/4
Factor 1738*b**2 + 13932*b + 224.
2*(b + 8)*(869*b + 14)
Let -3*r**4 + 30186*r**3 - 74339487*r**2 - 8054887776*r - 15812176068 = 0. Calculate r.
-102, -2, 5083
Suppose -20*q**3/3 - 158*q**2 + 11790*q - 45136/3 = 0. Calculate q.
-56, 13/10, 31
Factor i**2/2 - 223461*i/2 - 6482051.
(i - 223519)*(i + 58)/2
Determine o so that 363*o**5/4 + 1257894*o**4 + 5143473*o**3 - 26001483*o**2/2 + 32632785*o/4 - 3117825/2 = 0.
-13857, -6, 5/11, 1
Factor -5*h**3 - 18390*h**2 + 557075*h + 3244500.
-5*(h - 35)*(h + 5)*(h + 3708)
What is f in -4*f**3 + 2776*f**2 - 151404*f - 479304 = 0?
-3, 63, 634
Suppose 2265*z**5 + 43032*z**4 + 224178*z**3 + 183168*z**2 - 243*z = 0. Calculate z.
-9, -1, 0, 1/755
Let 3*y**4/4 + 14373*y**3/4 + 257715*y**2/4 - 129357*y/4 - 1159839/2 = 0. What is y?
-4773, -18, -3, 3
Factor -3*v**4 + 24871359*v**3 - 51548745515925*v**2 + 154646012705625*v.
-3*v*(v - 4145225)**2*(v - 3)
Suppose -2738*x**3/7 - 5372918*x**2/7 - 373077680*x + 3420156600 = 0. What is x?
-36470/37, 9
Let -l**5 - 4501*l**4 + 204761*l**3 + 868529*l**2 + 1104776*l + 445508 = 0. Calculate l.
-45 | {
"pile_set_name": "DM Mathematics"
} |
- 5 = 0, n = -6*s + 2*s - 2 for n.
2
Solve 2*i + u + 8 = 0, 0*u = 3*i + u + 11 for i.
-3
Solve 4 = -3*d + 4*w + 2, -5*d - 9 = -w for d.
-2
Solve 3*p - 3*z + 24 = 0, 3*p - 6 = 4*z - 36 for p.
-2
Solve -4*d + 15 = -c, d - 2*c - 3 = -1 for d.
4
Solve -3*j - 5*k + 13 = -17, 0 = 2*j - 3*k - 1 for j.
5
Solve 3*z = 21*i - 16*i - 22, 0 = -i + 3*z + 14 for i.
2
Solve 0 = 5*j - t - 11, -6 = -2*j + t - 4 for j.
3
Solve 7*q + 3*i - 15 = 4*q, -4*q = -2*i - 20 for q.
5
Solve x = 4*n - 15, 0 = 3*x - 14*n + 12*n + 5 for x.
1
Solve -11*c + 6*c + 1 = -2*j, -4*c = 2*j - 8 for j.
2
Solve q = -q - 3*k + 8*k, 3*q = -5*k for q.
0
Solve -2*x + 4*q + 9 = -9, -3 = 4*x + 5*q for x.
3
Solve 2*m - 3 = 3*d, -9*m + 5*m + 4*d = 0 for m.
-3
Solve 14*d - 10*d - 2 = 3*i, 2*i + 6 = 5*d for i.
2
Solve 6*f - 5*w = 2*f - 7, 4 = -3*f + 5*w for f.
-3
Solve -3*q - 6 = 3*y, -17*q - 4 = y - 15*q for y.
0
Solve -2*w = 3*f + 10, 0*f + 25 = -5*w - 3*f for w.
-5
Solve 14 = 4*b + p, -6*b + b + 5*p = -5 for b.
3
Solve -f = 2*n - 1, n + 5*f = 10 + 4 for n.
-1
Solve 0 = i - l - 7, 0 = -3*l - 6 for i.
5
Solve 0 = 3*z - l + 5*l + 32, 5*z - 2*l = -10 for z.
-4
Solve -4*c - 4*j - 4 = -3*c, 5*j = -2*c - 5 for c.
0
Solve 2*y = s - 1, 3*y - s + 4 - 3 = 0 for y.
0
Solve 15 = 3*z + 28*p - 25*p, 2*z + 5*p = 16 for z.
3
Solve 2*c + 3*d - 8 + 2 = 0, -4*c = 5*d - 8 for c.
-3
Solve -2*s - 8 = -4*l, 11 - 3 = s + 4*l for s.
0
Solve -2*g - 8 = 0, 4*j + 2*g - 4 = -2*g for j.
5
Solve 4*n = 4*z + 20, 13*z + 12 = 2*n + 10*z for n.
3
Solve 14 = 5*p - 2*x + 34, x + 5 = 0 for p.
-6
Solve -8*w + 13*w + 2*i + 10 = 0, 0 = 3*i for w.
-2
Solve -2*s = -6, 17 = 10*f - 11*f + 4*s for f.
-5
Solve j + 3 = 2*k + 4, 5*j + 11 = 2*k for j.
-3
Solve -2*v = 0, 12 = -k + v + 14 for k.
2
Solve j + 8 = 3*c, 5*c - 5*j - 8 = 22 for c.
1
Solve 3*z + c + 0*c = 0, 0 = -4*z + 4*c + 16 for z.
1
Solve 24*m - 22*m - 4*j = 6, 5*j = 5*m for m.
-3
Solve -2*g - 6 = 4*i - 18, 0 = 3*i - 5*g - 22 for i.
4
Solve 4*o + 20 = 0, -a - 5*o - 5 = 19 for a.
1
Solve 25 + 0 = -5*l, -5*u - 4*l - 15 = 0 for u.
1
Solve -8*v + 3 = 3*l - 7*v, 4*v + 6 = -3*l for l.
2
Solve -p + u + 4 = 0, 0*u = -3*u for p.
4
Solve 0 = -a + 3*q - 2, 2*a - 21 = -3*q - 7 for a.
4
Solve 7*c + 3*r = 4*c + 21, -4*r + 12 = -4*c for c.
2
Solve 3*w + 0*w = 2*v, 5*w - 7 = v for v.
3
Solve 0 = 7*g - 11*g - 16, -4*n = 2*g for n.
2
Solve -3*v + 5*v - 4*g = -2, -2*v - 4 = -5*g for v.
3
Solve p = -3*n - 3, -n = -p + 92 - 83 for p.
6
Solve 0 = -4*r + 10*a - 5*a + 14, 0 = -4*r + 2*a + 8 for r.
1
Solve 4*d - 13 = -d + 4*g, 2 = -2*d - 2*g for d.
1
Solve -5*k - 19 = 9*v - 11*v, -2*v = 2*k + 16 for v.
-3
Solve 3*b + 0*i - 17 = -4*i, 8 = 4*i for b.
3
Solve -2*r = 11*q - 12*q - 7, -5*q - 5 = 0 for r.
3
Solve 28 = 4*v - 2*m, -28 = -5*v + 2*m - 3*m for v.
6
Solve 20 = 4*x - 4*u, 5*x - 25 = -11*u + 15*u for x.
5
Solve -16*g = -13*g, -16 = -4*v + 5*g for v.
4
Solve -5*q - 30 = -2*j, -4*q + 3*j = 31 - 0 for q.
-4
Solve -r + 13 = -3*j - 0*j, -4*j - 5*r - 11 = 0 for j.
-4
Solve 5*w - 3*b - 27 = -b, -3 = -w - 2*b for w.
5
Solve 2*s - 11 = -p, 3*s - 5*p = -0*p - 16 for s.
3
Solve 3*o - 7 = 2*d, -4*o - 4 = 4*d - 0 for d.
-2
Solve 3*r = -3*b + 3, 4*r - 2*b - 13 = -3 for r.
2
Solve j - 13 = -2*p, -3*j - 107 = -4*p - 96 for j.
3
Solve 0 = -3*t - b + 13, b = t + 2*b - 3 for t.
5
Solve r - 2 = 1, 0 = -3*z + r - 3 for z.
0
Solve -20 = 4*d + 4*w, -2*w = -5 + 17 for d.
1
Solve 4*c + 16 = -4*o, 0 = -c + 4*c - 5*o - 4 for c.
-2
Solve 2*j - 3*v + 5 = -3, 5*v - 5 = -5*j for j.
-1
Solve 0 = -10*o + 8*o - n + 12, 5*o + 2*n - 26 = 0 for o.
2
Solve 3*o + 9 = -p + 4, 3*o + 45 = 9*p for p.
4
Solve -5*m + 2*h = 0, 3*h = -4*m + 4*h for m.
0
Solve 16 = h - 5*p, 5*p - 16 + 44 = 3*h for h.
6
Solve 6 = -3*b - p, -20*b + 21*b + 2 = 3*p for b.
-2
Solve -3*n = g + 1, g + 21 = -5*n + 16 for n.
-2
Solve 6*x - 5*x - 28 = -4*b, 8 = 5*x - 2*b for x.
4
Solve -5*d - 2 = -5*q + 8, 5*q - 20 = 0 for d.
2
Solve -3*z - 2*a + 14 = 0, -16*z = -13*z - 2*a - 10 for z.
4
Solve 0 = -5*y - 3*g + 31, -5*y + g = 5*g - 33 for y.
5
Solve -4*p + t = -19, 4*p + t = 5*t + 28 for p.
4
Solve 4*b + 5 = 88*t - 85*t, -8 = 2*t + 3*b for t.
-1
Solve 7 = 2*n - 1, -3*c + 26 = 5*n for c.
2
Solve 2*u + 3*s - 2 = 0, 2*u = -2*s - 2 - 0 for u.
-5
Solve -6*m + q = -2*m + 24, 8 = 2*q for m.
-5
Solve r - 2*c = -2, -5 + 4 = c for r.
-4
Solve 0 = -2*y + 2*v + 8, -3*y - 67*v = -72*v - 10 for y.
5
Solve p + 2*o + 2 = 5*p, 3*p + 1 = -o for p.
0
Solve 0*g + 7 = 4*n - g, 3*n + 4*g = 29 for n.
3
Solve 4*w = 2*y, 3*w - 4*y + 9*y = 0 for w.
0
Solve 0 = -2*n - 4, -5*h + 8 = -29*n + 30*n for h.
2
Solve 14 = 3*z + 2*q, -3*z + 5*q + 7 = -0*z for z.
4
Solve -u = -2*h, -7*u = h - 5*u + 5 for h.
-1
Solve -5*b - 2 = -22, -8 = 2*h - b for h.
-2
Solve 2*d + 26 = -4*p, -2*p = 2*p - 2*d + 14 for p.
-5
Solve -3*x = 3*v + 5 + 4, x = 2*v - 3 for v.
0
Solve -2*x - 323 + 337 = h, 35 = -h + 5*x for h.
0
Solve -q - 37*o + 34*o = 10, 0 = -4*q + 5*o + 28 for q.
2
Solve -7*k - 2*f = -2*k - 5, -2 = -2*k - 5*f for k.
1
Solve 3*x - 2*x + 3 = a, 4*a = 3*x + 12 for x.
0
Solve -4*x = 3*y - 6*x + 6, y - 5*x = 11 for y.
-4
Solve 4*j - j + 24 = 5*f, -6 = 3*j + f for j.
-3
Solve 0 = 5*s - i - 9, -s - 3 + 8 = -i for s.
1
Solve 4*x - 2 = -14, -w - 20 = 5*x for w.
-5
Solve -4*g + 2*k - 1 = -3, 4*g - 7 = 3*k for g.
-2
Solve -2*m - 8*y + 30 - 24 = 0, 3*m + 2*y + 11 = 0 for m.
-5
Solve 2*z + 5*k + 12 + 13 = 0, 0 = -4*k - 20 for z.
0
Solve 5 + 0 = 5*r - w, -4*w = r - 22 for r.
2
Solve -5*r - 31 = 3*u, 18*r + 7 = 4*u + 15*r for u.
-2
Solve 3*c + 2*l = l - 3, 5*l - 17 = c for c.
-2
Solve 0 = -l + 3*d + 14, 7*l + 4*d = 6*l - 21 for l.
-1
Solve -8 = -4*s, 6 = y + y + 2*s for y.
1
Solve -a = 5*i - 10, 4*a - 18*i - 4 = -20*i for a.
0
Solve -o + 2*q = -4 - 2, 0 = 3*o - 4*q - 14 for o.
2
Solve l + 1 = -2*s, -2*l - 3 = -4*s + l for s.
0
Solve 4*a - 11*q + 8*q = 4, 2*q = -4*a - 16 for a.
-2
Solve f = 2*g + 8, 81*g = 78*g - f - 12 for g.
-4
Solve 5*k - m - 16 = 6, k - 4*m - 12 = 0 for k.
4
Solve c + 5*s = -12, s = 72 - 75 for c.
3
Solve 5*q = -3*b - 15, 4*b = 5*q + 56 - 41 for q.
-3
Solve -d + 10 = 4*f, -2*f + d = 2*d - 6 for f.
2
Solve 3*f + q = 1 + 8, 4*f = -2*q + 10 for f.
4
Solve r = -3*f - 2, 0 = 3*f - 9 + 6 for r.
-5
Solve -9*k + 10*k - 5*h = 25, 5*h = -k - 15 for k.
5
Solve -t - 5*u + 16 = 2*t, 0 = 2*t + 2*u - 4 for t.
-3
Solve 17 = k - 5*i, 2*k + 5*i + 19 = -7 for k.
-3
Solve 0 = 2*q + p + 4*p + 22, p + 2 = 2*q for q.
-1
Solve 4*v + 4 = 8*v + 4*c, 0 = -v - 4*c + 1 for v.
1
Solve -y + 6 = 2*n, -4*n + 12 = 3*y - 0*n for y.
0
Solve -1 = g + 4*k, -169*g + 5*k + 10 = -172*g for g.
-5
Solve -3*z + 3*y = -2*y - 6, 0 = 6*y - 11*y for z.
2
Solve -5*n = w + 16, 0*n + 5*n + 20 = 0 for w.
4
Solve 0*r = -5*r - 4*q - 23, -13 = 3*r + 2*q for r.
-3
Solve 3*m - 4*x = -24 + 33, 0 = -4*m + 5*x + 12 for m.
3
Solve 0 = -4*o - 2*j - 20, -3*o = -j + 55 - 40 for o.
-5
Solve -3*q - 2*f + 5 = -2*q, -2*q - 2*f + 10 = 0 for q.
5
Solve -o - 6*s = -3*s + 14, 5*s = 4*o + 5 for o.
-5
Solve -4*p - 5*v - 50 = -21, 3*p = -2*v - 13 for p.
-1
Solve -3*n + 12 = -3*g, 4*g + 4*n - 63 + 47 = 0 for g.
0
Solve 3*c - 5*c - 4 = 4*v, -6 = 2*v for c.
4
Solve -2*t + 3*w - 7 = 0, -5*w = -4*w - 3 for t.
1
Solve -2*x = -4*v + 22, -4*x = -5*v - x + 32 for v.
1
Solve 0 = 3*j + q + 4*q + 40, 4*j + 3*q + 35 = 0 for j.
-5
Solve v = -2*o + 7, 2*o - 3 - 1 = -4*v for o.
4
Solve 30 = -2*y + 5*u + 16, 0 = 4*y + 2*u - 20 for y.
3
Solve -21 + 26 = q - 5*p, -5*q - 21 = -2*p for q.
-5
Solve -13*a + 16*a + 5 = -2*i, -4*a = 3*i + 7 for a.
-1
Solve -4*j + 3*l - 8 = 0, -1 + 9 = -4*j - 2*l for j.
-2
Solve -10*q + 8*q = 0, 2*o = q + 2 for o.
1
Solve -a + 20 = -0*a - 4*i, -5*a + 8 = 3*i for a.
4
Solve 0 = -z + 2, 3*b - 4 = -2*b - 2*z for b.
0
Solve -7 = -4*z - b, -2*z + b + 11 = -0*b for z.
3
Solve 5*i + 6 = 4*j, -3*i + 27 - 5 = 4*j for j.
4
Solve -w + t = -7, -3*w + 3*t + 11 = 2*t for w.
2
Solve 0 = 5*p - 4*w + 2, 4*p + 2*w - 14 = -0 for p.
2
Solve 3*n + 2*f - 10 = 0, 2*n = 3*f + 2*f - 25 for n.
0
Solve 0 = 2*n - 12 + 8, -5*d + 10 = 5*n for d.
0
Solve 0*n + 4*b = -2*n + 10, -5*b = -3*n - 18 for n.
-1
Solve t - 3*d = 3*t + 4, 5*d + 10 = -5*t for t.
-2
Solve 0 = 3*o - 12, 0*o - o + 16 = 4*c for c.
3
Solve 5*y + 34 = -8*n + 5*n, 2*n = -3*y - 21 for n.
-3
Solve -o = 5*j - 4*o - 15, 3 = j + o for j.
3
Solv | {
"pile_set_name": "DM Mathematics"
} |
17 (b) -1 (c) -3
b
Which is the nearest to -0.1? (a) -0.5 (b) 4/7 (c) 95
a
What is the closest to 1/5 in -0.4, -24, 18?
-0.4
What is the closest to -2/5 in -0.1, -0.048, -5?
-0.1
What is the nearest to -2/3 in -4, 4/3, 0.8, 100?
0.8
Which is the nearest to -30? (a) -7 (b) -2 (c) -2/9
a
What is the nearest to 2/7 in -1/6, -0.06, 5?
-0.06
What is the nearest to -1 in 2/15, -2/3, -8/535?
-2/3
Which is the closest to 0? (a) -0.44 (b) 1/3 (c) 0.2
c
Which is the closest to -2? (a) -3 (b) 2/5 (c) -0.1 (d) 5
a
What is the nearest to -1/3 in 5, -2, 24?
-2
What is the closest to 0.2 in -2/21, 3/7, -0.2, -0.1?
3/7
What is the closest to -2/5 in 1/4, 4, -0.3, -3?
-0.3
Which is the nearest to -3? (a) 0 (b) 2 (c) -1/2 (d) -0.01
c
Which is the closest to 1/4? (a) 0 (b) -0.2 (c) -3 (d) 0.1
d
Which is the closest to -1.1? (a) -0.4 (b) -1/6 (c) 3/5
a
What is the closest to -1/7 in -4, 0.3, 2?
0.3
Which is the closest to -1/2? (a) 5/4 (b) -1/7 (c) 0.3 (d) 2/15
b
Which is the closest to -1? (a) 0.9 (b) 2/5 (c) 3 (d) 0.3
d
Which is the nearest to -4? (a) -2 (b) 6 (c) -0.5
a
What is the closest to -1/3 in 2, -6, 0, 2/39?
0
Which is the closest to -0.5? (a) 0.05 (b) 0.5 (c) 5 (d) 4
a
Which is the nearest to 2/19? (a) -0.2 (b) 4 (c) 2/17 (d) -0.009
c
What is the closest to 0 in 5/4, -1, 6?
-1
Which is the closest to -2? (a) 2 (b) 0 (c) 1
b
What is the nearest to -0.2 in 0, 48, 4/7, 2?
0
Which is the nearest to 1/3? (a) 0.1 (b) 4 (c) -4/7 (d) -4/3
a
Which is the closest to -0.1? (a) -2/3 (b) 0.05 (c) 0.07
b
Which is the closest to -3/7? (a) 0.7 (b) 0.5 (c) 0.2
c
Which is the nearest to -74? (a) -0.2 (b) 1 (c) 5 (d) -2
d
What is the closest to 0 in -8, -4, 5, 0.2?
0.2
What is the nearest to -1 in -0.05, 5, 2/7?
-0.05
What is the nearest to 2 in 281, 1, 1/8?
1
Which is the nearest to -1/3? (a) 0.21 (b) 1 (c) -0.1 (d) 0.3
c
Which is the nearest to 0.22? (a) 0.4 (b) 1/4 (c) -1
b
Which is the nearest to 3? (a) 1/4 (b) 4 (c) -4/7 (d) 6
b
What is the closest to -2/23 in 0, 3, -3/2, 2?
0
Which is the closest to -24? (a) 0 (b) -2 (c) 3/7 (d) -0.1
b
What is the nearest to -2 in 1/7, -3.9, -4, -0.06?
-3.9
Which is the closest to -0.3? (a) 2 (b) -0.4 (c) 0 (d) -1
b
Which is the nearest to -16? (a) -3 (b) 4 (c) 3 (d) 5
a
Which is the closest to 1? (a) 0.01 (b) 2 (c) -0.06 (d) -0.5
a
Which is the nearest to -2? (a) 0.1 (b) 2/11 (c) 2 (d) 0.02
d
Which is the nearest to 0.67? (a) -4 (b) 0.05 (c) 1 (d) 0.3
c
Which is the closest to 1? (a) 18/11 (b) -2 (c) -6
a
What is the closest to -2 in 4, -3/5, -146, -2?
-2
What is the nearest to 2 in -1, 0.4, -2/5, -0.9?
0.4
What is the nearest to 2 in 2/11, -0.3, 7?
2/11
What is the closest to 1/4 in 1/46, 5, -5?
1/46
What is the closest to 0 in 0.5, -2, 0.2?
0.2
What is the nearest to 0 in 5, -1/4, 2, -2/7?
-1/4
What is the closest to 0 in 0.4, -2863, 0?
0
What is the nearest to -641/3 in 1/8, 0, 0.1?
0
What is the closest to -1 in -36, 2, -5, -5/2?
-5/2
Which is the closest to 0? (a) 0.5 (b) -0.3 (c) 75 (d) 2
b
What is the closest to 7 in -38, 0.2, -5?
0.2
Which is the nearest to 0? (a) 8 (b) -3 (c) 0.4 (d) -2/15
d
Which is the nearest to 2/13? (a) 0 (b) -0.01 (c) 2/19
c
What is the closest to 0 in -0.3, 7241, 2?
-0.3
What is the closest to 0 in -1/10, -1/5, 0.0589?
0.0589
Which is the closest to -2/7? (a) -3 (b) 2 (c) -5
b
What is the nearest to 418 in 2/7, 1/2, -9?
1/2
What is the nearest to 3/4 in -0.5, 37, -2?
-0.5
Which is the nearest to 9.12? (a) 2 (b) -0.2 (c) 0.3
a
Which is the nearest to 1? (a) 10 (b) 0 (c) -11 (d) -1/2
b
Which is the closest to 2? (a) 4 (b) 3 (c) -1/96
b
What is the closest to 2/7 in -11, -0.06, 2/3, -0.2?
-0.06
Which is the nearest to 5? (a) 0.82 (b) 1/9 (c) 3
c
What is the nearest to 1 in 0.02, 0, 0.1, -0.07?
0.1
Which is the nearest to -6? (a) 4 (b) 0.05 (c) -1/5
c
Which is the nearest to -24? (a) 5 (b) 3 (c) 4 (d) -1
d
What is the closest to 2.2 in 4, -0.3, 2/7?
4
Which is the nearest to 2? (a) -44 (b) -2 (c) -2/3 (d) 3
d
What is the nearest to -0.2 in 1/4, -5, -18?
1/4
What is the closest to 1 in 2/7, 0.3, -3, 3?
0.3
Which is the closest to 2/3? (a) -1 (b) 0.5 (c) 21 (d) 0.3
b
Which is the nearest to 2? (a) -0.2 (b) -0.98 (c) 3/8 (d) 0.5
d
Which is the nearest to 5? (a) 0.3 (b) -4/3 (c) -1 (d) -0.2
a
What is the closest to -2/3 in -0.2, 3, 1, -5?
-0.2
What is the closest to -6/11 in 1/10, 3/7, -12?
1/10
Which is the closest to -0.3? (a) -0.08 (b) 10 (c) -4 (d) -2/11
d
What is the nearest to 1 in 0.1, 12, 0.3, 2/9?
0.3
Which is the closest to 1/3? (a) -2 (b) 1 (c) -1/268
c
What is the closest to -0.1 in -5, 1/4, -1, 7/6?
1/4
Which is the nearest to -6? (a) 2/9 (b) 5 (c) -4 (d) -5
d
Which is the closest to -2/19? (a) 0.5 (b) -2/3 (c) 5 (d) 2/17
d
Which is the closest to 0.06? (a) -1 (b) -0.77 (c) 0.4
c
What is the closest to 1 in -5, 0.2, 0.208, -4?
0.208
What is the nearest to -16 in 1/4, 0.4, 0.2, 3?
0.2
Which is the closest to 1? (a) -10/7 (b) -126 (c) 3/5
c
Which is the closest to -1/4? (a) 1.8 (b) -0.1 (c) -2 (d) 32
b
Which is the closest to -0.8? (a) -1 (b) -0.5 (c) 4 (d) -4
a
What is the nearest to -3/7 in 3, 0, -33, 1?
0
What is the closest to 1 in 4, -1, -3/13, 0.4?
0.4
What is the closest to -2 in -1/2, 0.5, 97?
-1/2
Which is the closest to 0.251? (a) -4 (b) -3/5 (c) -1 (d) -3
b
What is the nearest to -2/3 in 7, 0.1, -2/7, -7?
-2/7
What is the closest to 10 in 1, 3, -5?
3
What is the nearest to -1/8 in 1, -0.4, 9, -4?
-0.4
What is the closest to 0 in -3, -3.68, 2, 1?
1
What is the nearest to 0.8 in 4/9, 1, 0.2?
1
Which is the nearest to -0.04? (a) 0 (b) 0.2 (c) 0.1 (d) 2
a
What is the closest to 0.13 in 2/5, 0, -3?
0
Which is the nearest to -1? (a) 0 (b) 453 (c) 0.1 (d) 2
a
What is the nearest to -0.1 in -2/71, -5, 2/15?
-2/71
Which is the closest to 0? (a) 2/5 (b) 5/2 (c) 0.2 (d) 0.08
d
What is the nearest to -0.1 in -2/3, 0.059, -1?
0.059
What is the closest to -3/2 in 0.2, 2/9, -37?
0.2
Which is the closest to 0.1? (a) 3 (b) -19 (c) -4/3
c
What is the nearest to 0.1 in -0.1, -2/3, 2, -0.5?
-0.1
Which is the nearest to -3/109? (a) -0.3 (b) 0.1 (c) -5
b
What is the closest to -0.1 in 1/4, 2/15, 4/3, -3/8?
2/15
What is the closest to -2 in -21/2, -1/3, -1/2, 1/9?
-1/2
What is the closest to -1 in 0.4, 1, 0.1, 9/5?
0.1
Which is the closest to -1/2? (a) 0.05 (b) -7 (c) -0.5
c
Which is the nearest to 8/9? (a) 1 (b) -5 (c) 5
a
What is the closest to -0.002 in -3/5, -2, 0.8?
-3/5
What is the closest to -1/11 in -2, -4/7, 0.4?
-4/7
Which is the closest to -2? (a) -1 (b) 1/2 (c) 4 (d) 1/33
a
What is the closest to -1/2 in 0.1, 4, 0.05?
0.05
What is the closest to 15/11 in -3/5, -5, 0.3, -1/3?
0.3
Which is the closest to -1? (a) 0.5 (b) 1 (c) -12
a
What is the closest to -0.2 in 36, -5, -2/5, -0.2?
-0.2
Which is the closest to -9? (a) -5 (b) 31 (c) 1 (d) -4
a
What is the closest to 0.2 in -2, 2, -5, 1?
1
Which is the closest to 0? (a) 3/8 (b) -3 (c) 0.5 (d) -3/2
a
What is the closest to -0.1 in -36, -56, 2?
2
What is the nearest to -0.1 in 0.1, 0, -3.03, 1/6?
0
What is the nearest to 0.2 in 9/5, 1.4, -4?
1.4
Which is the closest to -0.3? (a) -2.7 (b) 2/3 (c) 4 (d) 100
b
What is the closest to -1/2 in -1, 0.2, 0.5, -2/13?
-2/13
What is the closest to -4 in 3/28, 5, -0.5?
-0.5
Which is the nearest to -0.4? (a) 0.2 (b) -5 (c) 2/7 (d) -22
a
Which is the nearest to 0? (a) -1/2 (b) -0.6 (c) 0.4 (d) 18
c
Which is the nearest to 2/5? (a) -0.4 (b) -0.04 (c) 2 (d) 0
d
What is the closest to 4/7 in -1/6, -0.1, -2/3, -2/5?
-0.1
Which is the closest to -0.1? (a) 1.1 (b) -1 (c) 0
c
What is the closest to -1 in 2, 1/89, -4/3, -5?
-4/3
Which is the nearest to -2/15? (a) -7 (b) 16 (c) 0
c
Which is the closest to -2? (a) 3 (b) 8 (c) 0 (d) -2
d
What is the nearest to -51 in -0.3, 5, 7, 2/3?
-0.3
What is the nearest to -1 in -8.2, -6, 3, -4?
-4
What is the nearest to 1 in -3, 15/4, 3/2, -4?
3/2
Which is the nearest to 0.1? (a) 3/5 (b) -1 (c) 0.1 (d) -192
c
Which is the closest to 0.1? (a) -2 (b) 0.01 (c) 28/3
b
Which is the closest to 0? (a) -1.6 (b) -123 (c) -2
a
What is th | {
"pile_set_name": "DM Mathematics"
} |
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