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16
Express 6*d**2 - 7*d + 4*d**3 - 5*d + 12*d as w*d**2 + s*d + x + i*d**3 and give w.
6
Express 243*o**3 - 12 - o**4 - 241*o**3 - 2*o**2 + 0*o**2 as p*o**2 + i*o + y*o**4 + m + k*o**3 and give k.
2
Express 0*j**3 + 4*j**3 - 2*j**3 + (0*j + 5*j - 4*j)*(22*j - 22*j + 10*j**2) + 0*j**3 - j**3 + 4*j**3 as l*j**3 + m + t*j**2 + r*j and give l.
15
Rearrange (3 - 3 + 6)*((1 + 2*m - 1)*(0 + 0 + 2) + m + 0*m - 3*m + (1 - 4 - 1)*(-2 + 2 - m)) to r + y*m and give y.
36
Rearrange 68*i + 3*i**2 - 2*i**3 + 3*i**2 - 68*i to the form y*i + x*i**2 + b + w*i**3 and give x.
6
Express (-1 + 1 + 3*n**2)*(0*n + 0*n - n**2) + (n + 10*n + n)*(0*n**3 - 3*n**3 + n**3) as k*n**3 + l*n**4 + a*n**2 + m + o*n and give a.
0
Express 4*y + 4*y**3 + 3*y**2 - 187 + 187 + 0*y**3 in the form d*y + v*y**2 + z + i*y**3 and give d.
4
Express -2*q**2 - 10*q - q**3 + 2 - q**2 + 0*q**2 + q**2 in the form l*q**3 + d*q**2 + p*q + t and give p.
-10
Express -2*w - w**4 + 15*w**3 + 4*w + 2*w**2 - 1 - 15*w**3 in the form o*w**4 + x*w + p + h*w**2 + m*w**3 and give h.
2
Rearrange (2 + 1 - 1)*(-2*o - 122 + 115 + 6*o) to b*o + p and give p.
-14
Rearrange 4*a**4 - a**2 - a**2 + 3*a**2 + 4 - 2*a**4 to the form b*a**2 + v*a**4 + q + o*a + w*a**3 and give b.
1
Rearrange 1 - 2 - 41*b**2 - 2*b**2 to the form d + v*b + g*b**2 and give d.
-1
Express (-j**3 + 0*j**3 + 0*j**3)*(-2*j - 196 + 182 - 2*j) in the form v*j**4 + q*j**3 + u*j**2 + a*j + f and give q.
14
Express (103*d**3 - 16*d**3 - 12*d**3 + 126*d**3)*(d + d - 4*d) in the form p + v*d**4 + w*d**3 + r*d**2 + t*d and give v.
-402
Rearrange (24*u - u + u)*(0*u**2 - u**2 + 3*u**2) to the form a*u**3 + d*u**2 + q*u + b and give a.
48
Express -13*o + 0*o**3 + 3*o**3 - 2*o**3 + 11*o - o**2 - 13 in the form z*o**3 + m + s*o**2 + k*o and give z.
1
Express -r**2 - r - r**2 + 0*r**2 + 29*r**3 in the form d*r + y*r**3 + u + k*r**2 and give k.
-2
Rearrange 31*t - 2 - 13*t - 20*t + 8*t**3 to j + z*t**3 + p*t + a*t**2 and give z.
8
Express (-1 - 1 + 3)*(4*u + 0 + 0) + (-2 - 1 + 2)*(0 + 0 - u) - 4*u + 3*u + 2*u in the form s + d*u and give d.
6
Rearrange -4*x + x - 15 + 28 - 14 + 9*x**4 to i + l*x**2 + g*x**4 + w*x + p*x**3 and give w.
-3
Express 0 + 124*v + 3 - 128*v - 2*v**4 - v**3 in the form y*v**4 + z + d*v + l*v**2 + x*v**3 and give z.
3
Express (-5*k + 2 - 2)*(9 - 6 - 2)*(-4 + 2 + 1) as i + g*k and give g.
5
Express (0 + 2*j + 0)*(1 - 824*j - 6 + 835*j) as v + t*j + f*j**2 and give f.
22
Express -d**4 - 2*d**4 - 2*d**2 + d**4 + (-8 + 12 - 8)*(0*d**4 + 2*d**4 - 4*d**4) as g*d**2 + r*d**3 + k*d + m*d**4 + n and give m.
6
Express (1 - 1 + 1)*(5 + q - 3*q + 3*q**2 - 8) as b*q + v*q**2 + l and give l.
-3
Rearrange (-y + 4*y - 4*y)*(-4 + 9*y + 4)*(1 - 1 + 7) to j*y**2 + c + b*y and give j.
-63
Express (-3*z - z + 3*z)*(0 - 2*z**2 + 0) + (-4*z**2 + 3*z**2 - z**2)*(-2*z + 3*z + z) in the form u + q*z**2 + c*z + r*z**3 and give c.
0
Rearrange o**2 - 2 + 17*o**4 - 9*o**4 - 5*o**4 + 2*o**3 to w*o**3 + y*o**2 + h*o + d*o**4 + z and give d.
3
Express (-3 - m + 3)*(-3*m**3 + 4*m**3 - 2*m**3) + (-3*m + 2*m - 2*m)*(0*m + 2*m**3 + 0*m) in the form j*m**3 + s + k*m**2 + x*m + b*m**4 and give b.
-5
Rearrange -5*o**3 - 23*o + 23*o - 194 + 194 - o**3 + (-o**2 + 0*o + 0*o)*(o + 3*o - 6*o) to the form y*o**3 + s*o**2 + r*o + c and give y.
-4
Express (-2*i - 3*i + 4*i)*(1 + 5 + 0)*(-3 - 3 + 5) in the form c*i + t and give c.
6
Rearrange 8*t**3 + 0*t**3 - 3 + 0*t**2 - t**2 - t**2 to the form c*t + y*t**2 + d + k*t**3 and give k.
8
Rearrange -6*q + q - 48*q to c*q + z and give c.
-53
Rearrange (-m**3 - 2*m**3 - 4*m**3)*(12 + 11 - 17)*(m + 2 - 2) to g*m**4 + a + s*m + b*m**2 + z*m**3 and give g.
-42
Express 1 + 3*o - o**2 - 3*o + (-23*o + 422 - 422)*(3 - o - 3) in the form b*o + p*o**2 + i and give i.
1
Express 83*m - 173*m + 88*m + 11 as g*m + i and give g.
-2
Express -7*x + 0*x - 11*x + 3*x in the form s*x + k and give s.
-15
Express (-664 + 664 - 27*n**3)*(0 - 2 + 1) + 4*n**2 + 2*n**3 - 4*n**2 as m*n**2 + x*n**3 + r + p*n and give x.
29
Rearrange -2*r**4 - 7 - 6 + 4 + 0 - r**2 to the form m + k*r**3 + a*r + s*r**2 + n*r**4 and give m.
-9
Express 0*g + 8*g**2 - 5*g**3 + 6*g**3 - 2*g in the form d + l*g**2 + b*g**3 + r*g and give l.
8
Express -8 + b**2 + 15*b + b**2 - 15*b in the form n*b + g + x*b**2 and give x.
2
Rearrange 364 - 47*u - 364 to the form v*u + k and give v.
-47
Express (-3*p - 3*p + 5*p)*(2*p**3 + 0*p**3 - 4*p**3 + (-2 - 3*p + 2)*(8*p**2 + 1 - 1)) as s*p + m*p**3 + d*p**4 + w + l*p**2 and give d.
26
Rearrange 0*g + 0*g - g**3 + (-2*g - g + 5*g)*(-4*g**2 - 4*g**2 - g**2) to n + q*g**2 + s*g + z*g**3 and give z.
-19
Express -25*v + 25*v - 2*v**2 + (4*v + 2*v - 4*v)*(-v + 4*v - v) in the form u*v + l + i*v**2 and give i.
2
Rearrange 5 + 49*f**3 - 50*f**3 - 6*f + 2*f**2 + 5*f to h*f + w + v*f**3 + a*f**2 and give v.
-1
Express -3*b**3 + 2 - 1 - b**3 - b**3 as t*b**3 + v + n*b**2 + k*b and give t.
-5
Rearrange (a**2 + 6*a**2 + 0*a**2)*(2 - 4*a - 2 - 2*a + a + 2*a + (-3 + 2 + 3)*(-2 + 2 + a)) to l + o*a**2 + v*a + f*a**3 and give o.
0
Rearrange (2*c**2 - 2*c**2 + c**2)*(108 + 24*c**2 - 108) to u + v*c + k*c**3 + z*c**2 + p*c**4 and give p.
24
Rearrange (-n**3 - 2*n**3 + 2*n**3)*(-187 - 18*n + 374 - 186) to the form v*n + s*n**2 + m*n**3 + h + d*n**4 and give m.
-1
Rearrange (-2 + 2 - 3 + (0 - 1 + 0)*(-5 - 1 + 4))*(-s - s - 2*s) to the form o + k*s and give k.
4
Express (-2*w - 3 + 3)*(27*w - 40*w + 22*w) - 2*w**2 - 2 + 2 in the form l*w**2 + i*w + f and give l.
-20
Rearrange -32 + 11 + 5 + 3*i**3 + 12 + 2*i**4 to m*i + g*i**3 + z*i**2 + r + p*i**4 and give p.
2
Express -3*i**4 + 2*i**4 + 37*i - 38*i + (-2*i**3 + i - i)*(0 + 0 + i) as t + q*i**3 + z*i**4 + m*i**2 + c*i and give c.
-1
Express 60*x + 8*x + 19*x in the form w + t*x and give t.
87
Express 2*m**2 + m**2 - m**2 + m**2 + 0*m + 0*m + (-m - 3 + 3)*(2*m + 1 - 1) + 9 - 9 - 8*m**2 as o*m**2 + g*m + n and give o.
-7
Rearrange -g + 1471*g**3 + 0*g - 1473*g**3 - 3*g**2 + 0 + 3 to the form o*g**3 + y*g + c + k*g**2 and give o.
-2
Rearrange 0*u - 13*u + 2*u to the form x*u + t and give t.
0
Express (2 - 4 + 1)*(4 - 4 + 11*x)*(3 - 2*x**2 - 3) as u*x**2 + g*x + c + l*x**3 and give l.
22
Rearrange (0*g**2 + 0*g**2 - 2*g**2)*(87 - 67 - 41) to the form c*g + l*g**2 + q and give l.
42
Rearrange 1 - 6 + 3 + 4*m + 24*m to the form q + s*m and give q.
-2
Express 11*y**2 + 5*y**3 + 5 - 4 - 3*y**3 in the form g*y + b + r*y**2 + w*y**3 and give b.
1
Express -68*p + 21*p + 27*p + 25*p + 11 in the form h*p + z and give h.
5
Rearrange (-3*v - v + v)*(3 + 1 - 5) + 1 + 2 - 22*v + 17*v + (3 + 1 - 5)*(3*v - v + 0*v) - 2*v + 4*v - v to i*v + l and give l.
3
Rearrange -k**3 + 0*k**2 - k**4 + 3 + 1 + 2*k**2 - k**4 to the form w*k**4 + f*k**3 + p*k**2 + j + i*k and give w.
-2
Express -24*i**2 - 17*i**2 + 13*i**2 in the form o*i**2 + q + x*i and give o.
-28
Express 0*l**3 + 10*l**4 + l - 12*l**2 - 17*l**2 + 27*l**2 - l**3 in the form q*l + n*l**3 + d*l**4 + j*l**2 + x and give j.
-2
Express (-3*b**3 + 3*b**2 - 3*b**2)*(3 - 9*b + 3*b + 13*b) in the form u*b**4 + t + j*b**2 + f*b + d*b**3 and give d.
-9
Express -22 - 7*i + 3*i + 8*i in the form u + f*i and give f.
4
Express (-z**3 - 4*z**3 - 2*z**3)*(z + 1 - 3 - 2*z) in the form m*z**4 + h*z**2 + s + p*z**3 + i*z and give s.
0
Rearrange -21*n**2 + 21*n**2 - 15*n**4 + (1 + n - 1)*(2*n**3 - n**3 + 0*n**3) + 4*n + 2*n**4 - 4*n to the form p*n + z*n**3 + c*n**4 + m*n**2 + h and give c.
-12
Rearrange (-b**2 + 3*b**2 - 2*b + 3*b + 1)*(-b + 0*b + 8*b)*(-3*b - 2*b + 4*b) to a*b**4 + n*b**2 + c*b + t + i*b**3 and give n.
-7
Rearrange j**4 - 5 - 2*j**3 - 1 + 2*j**2 + 6 - 2*j to the form d*j**3 + w*j**4 + h*j + c + a*j**2 and give a.
2
Express -18*m + m**2 - 16*m + 4*m in the form q*m + k + b*m**2 and give q.
-30
Rearrange -2*k**2 - 23*k - 3 + 8 - 5 to the form c*k**2 + u*k + j and give c.
-2
Rearrange (-n**2 - 3*n**4 - 51*n + 49*n + 2*n**2 + 4)*(6 + 5 - 4) to the form c*n**2 + o*n**3 + y*n**4 + f*n + p and give f.
-14
Express (-4 - 2*a + 4)*(-6 + 2 - 3)*(1 - 4 - 2) in the form l + g*a and give g.
-70
Express -z + 2*z - 2*z + (-6 + 0 + 5)*(0*z - 2*z + 0*z) in the form l + o*z and give o.
1
Express 22 - v**3 - 3*v**2 - 22 - 10*v**3 as w*v**2 + y + m*v + p*v**3 and give p.
-11
Rearrange 5*c**3 + 4*c - | {
"pile_set_name": "DM Mathematics"
} |
acement from {r: 1, x: 1, b: 1}. Give prob of picking 1 b and 1 r.
1/3
What is prob of picking 3 m when three letters picked without replacement from mmmcmmmmmmmm?
3/4
Three letters picked without replacement from {t: 1, v: 1, o: 1, n: 1, a: 1}. What is prob of picking 1 v, 1 t, and 1 n?
1/10
Two letters picked without replacement from kdj. Give prob of picking 1 d and 1 k.
1/3
What is prob of picking 4 y when four letters picked without replacement from {y: 4}?
1
Four letters picked without replacement from yjnontjxojtttox. What is prob of picking 1 o, 1 y, and 2 t?
6/455
What is prob of picking 2 k, 1 o, and 1 h when four letters picked without replacement from {t: 1, h: 6, k: 3, o: 1, s: 3}?
18/1001
Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {l: 1, i: 5, o: 1, n: 1, y: 3}.
3/11
Three letters picked without replacement from {n: 1, k: 2, v: 2, i: 1, d: 2}. What is prob of picking 1 v and 2 d?
1/28
Calculate prob of picking 2 k when two letters picked without replacement from dvvdodkddodvdddok.
1/136
Three letters picked without replacement from {s: 5, i: 2, k: 2, d: 3, f: 8}. What is prob of picking 2 k and 1 d?
1/380
Three letters picked without replacement from {y: 8, e: 7, d: 2, m: 1, r: 2}. Give prob of picking 2 y and 1 d.
14/285
Four letters picked without replacement from {e: 2, k: 9, w: 7}. Give prob of picking 3 k and 1 e.
14/255
Two letters picked without replacement from zzzprcc. Give prob of picking 2 z.
1/7
Calculate prob of picking 2 t and 1 g when three letters picked without replacement from ttgtttttg.
1/2
What is prob of picking 2 d when two letters picked without replacement from ddrdddrrb?
5/18
Calculate prob of picking 1 n, 2 g, and 1 q when four letters picked without replacement from {s: 2, q: 5, g: 3, n: 5}.
5/91
Two letters picked without replacement from otttwoowxtooooooo. What is prob of picking 2 t?
3/68
What is prob of picking 1 f and 1 w when two letters picked without replacement from jbfwffbfwbjbf?
5/39
What is prob of picking 1 y, 1 s, and 2 f when four letters picked without replacement from rvvfvffyvhvvssfhvhhh?
4/1615
Four letters picked without replacement from {z: 1, v: 1, p: 1, o: 1, d: 1, c: 2}. Give prob of picking 1 c, 2 p, and 1 v.
0
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {j: 7, k: 1, w: 5, t: 1}.
5/91
What is prob of picking 4 t when four letters picked without replacement from ttttt?
1
What is prob of picking 1 a and 1 n when two letters picked without replacement from pnppappapnannaaannp?
4/19
Two letters picked without replacement from vviimvimwvw. What is prob of picking 1 m and 1 w?
4/55
Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyy.
1
Four letters picked without replacement from zxxzfffffffff. What is prob of picking 1 f, 1 z, and 2 x?
18/715
Three letters picked without replacement from {n: 1, y: 3, e: 1, a: 1, l: 1}. What is prob of picking 3 n?
0
Two letters picked without replacement from qiiktibitkmit. What is prob of picking 1 i and 1 b?
5/78
What is prob of picking 1 t and 1 n when two letters picked without replacement from {t: 5, c: 1, n: 11, e: 3}?
11/38
Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 5, x: 1, e: 3}.
5/12
What is prob of picking 1 e, 2 c, and 1 j when four letters picked without replacement from {j: 5, c: 8, e: 3}?
3/13
Four letters picked without replacement from {j: 2, v: 18}. What is prob of picking 2 j and 2 v?
3/95
What is prob of picking 1 j and 2 z when three letters picked without replacement from zfszj?
1/10
Two letters picked without replacement from {z: 7}. What is prob of picking 2 z?
1
Three letters picked without replacement from gggggggllg. What is prob of picking 1 g and 2 l?
1/15
What is prob of picking 2 e and 1 m when three letters picked without replacement from {e: 4, m: 7}?
14/55
Four letters picked without replacement from kllldllllxdd. Give prob of picking 2 k, 1 x, and 1 l.
0
Two letters picked without replacement from unuuuyyuvpruup. Give prob of picking 1 v and 1 r.
1/91
Calculate prob of picking 1 x and 3 j when four letters picked without replacement from xxjvvjjjxjvjxxjvj.
2/17
Two letters picked without replacement from {x: 1, y: 1, z: 2, w: 1, e: 1, v: 2}. Give prob of picking 1 w and 1 v.
1/14
Calculate prob of picking 1 o and 2 u when three letters picked without replacement from ooououqbqdouoqobbuo.
16/323
Two letters picked without replacement from jhzhzzjjqxxxxxhxxj. What is prob of picking 1 x and 1 h?
7/51
What is prob of picking 1 x and 3 i when four letters picked without replacement from {x: 2, i: 16}?
56/153
Three letters picked without replacement from ctttcttdtdt. Give prob of picking 1 d, 1 t, and 1 c.
28/165
Four letters picked without replacement from vdaepadepvaeadlaeda. Give prob of picking 1 l, 1 p, 1 e, and 1 a.
4/323
Two letters picked without replacement from fefhhehheffhehe. Give prob of picking 1 e and 1 f.
4/21
Two letters picked without replacement from voqrrttu. What is prob of picking 1 o and 1 t?
1/14
Four letters picked without replacement from aoppanpoopoonpoonaoo. Give prob of picking 1 p, 2 o, and 1 n.
36/323
What is prob of picking 1 i and 1 j when two letters picked without replacement from {b: 1, j: 2, i: 1, v: 1}?
1/5
Calculate prob of picking 1 l and 2 y when three letters picked without replacement from {l: 2, y: 2, i: 1}.
1/5
Two letters picked without replacement from {m: 5, j: 9, v: 1, u: 5}. What is prob of picking 1 m and 1 j?
9/38
Calculate prob of picking 1 f and 2 j when three letters picked without replacement from fkfjofjyffj.
1/11
Calculate prob of picking 2 w and 1 f when three letters picked without replacement from wwbwbwwwwwbwfbff.
27/140
What is prob of picking 1 f and 1 i when two letters picked without replacement from lkkkkfkftfkkkkilkkk?
1/57
Four letters picked without replacement from {s: 1, y: 2, l: 1, k: 1, p: 1, w: 1}. Give prob of picking 1 p, 1 w, 1 y, and 1 k.
2/35
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 4, v: 3, o: 2, u: 3, r: 4}.
1/15
Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {l: 2, r: 1, d: 6, o: 1, w: 1, c: 9}.
9/190
What is prob of picking 1 i, 1 a, and 2 k when four letters picked without replacement from {a: 1, j: 1, k: 4, i: 2, s: 1}?
2/21
Two letters picked without replacement from {r: 1, m: 3, o: 2, t: 1}. What is prob of picking 2 o?
1/21
Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qdpdpdppppqp.
1/11
Calculate prob of picking 1 g and 1 v when two letters picked without replacement from gggggggv.
1/4
What is prob of picking 2 d when two letters picked without replacement from {q: 1, d: 4, f: 3}?
3/14
Two letters picked without replacement from lpalaaalallall. What is prob of picking 1 a and 1 l?
6/13
Three letters picked without replacement from gggggg. What is prob of picking 3 g?
1
Calculate prob of picking 1 v and 1 k when two letters picked without replacement from jvizzikkkkkiiiiizizi.
1/38
Calculate prob of picking 4 o when four letters picked without replacement from {w: 1, c: 1, y: 2, s: 3, o: 6, u: 2}.
1/91
What is prob of picking 2 v, 1 a, and 1 n when four letters picked without replacement from {l: 3, i: 1, a: 1, v: 5, n: 4, c: 3}?
2/119
Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {h: 4, u: 1, w: 1, r: 2, q: 8, g: 4}.
2/95
What is prob of picking 1 u and 2 f when three letters picked without replacement from {u: 13, f: 5}?
65/408
What is prob of picking 1 w and 1 n when two letters picked without replacement from {n: 4, w: 3, k: 2}?
1/3
Four letters picked without replacement from {g: 1, a: 2, w: 1, r: 1, c: 1, f: 2}. What is prob of picking 2 r, 1 w, and 1 a?
0
Calculate prob of picking 4 q when four letters picked without replacement from qxyytyqqqt.
1/210
Three letters picked without replacement from wmmmpmmpepaammeemmm. Give prob of picking 3 e.
1/969
Three letters picked without replacement from xjaaxxoxxzuoz. What is prob of picking 1 x, 1 u, and 1 o?
5/143
Three letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
and -0.08919?
-100.07118
Multiply -33542072 and -0.5.
16771036
What is the product of 159225 and 0.87?
138525.75
-0.022 * -1120436
24649.592
27653 * -6284
-173771452
-940 * 1.108
-1041.52
738680.8 * -1.1
-812548.88
What is -0.22 times 2.647381?
-0.58242382
Calculate 0.17*583.6336.
99.217712
-0.177172 * -12
2.126064
-30497 * -0.687
20951.439
What is -9530 times -21180?
201845400
What is 2 times 0.131882623?
0.263765246
What is the product of 273133 and -448.8?
-122582090.4
Product of 12 and -2890908.
-34690896
Work out 34.809644 * 0.3.
10.4428932
2162289 * 0.23
497326.47
Product of 2 and -150460560.
-300921120
What is -9875.2864 times 0.4?
-3950.11456
Multiply -10389 and 324.
-3366036
Work out -362.29 * -0.1738.
62.966002
Multiply -6817 and -0.55.
3749.35
What is the product of 12 and 6104378?
73252536
17868310*0.3
5360493
Multiply -322609 and -0.141.
45487.869
Calculate 1*-85665094.
-85665094
-87302248*-0.2
17460449.6
Calculate -394874*-3.
1184622
Product of 1440 and 2527.
3638880
Multiply -20.37433 and 5.
-101.87165
0.3*-0.0804784
-0.02414352
Product of 3.8 and -333044.
-1265567.2
Product of 5 and 68982933.
344914665
10021.42*-6
-60128.52
What is 3035 times -0.76?
-2306.6
What is the product of 167 and -96776?
-16161592
Work out -2.44053613 * 2.
-4.88107226
What is -7538 times 5062?
-38157356
Work out -0.78851 * 1.12.
-0.8831312
Multiply -0.012328 and 20.6.
-0.2539568
Product of 112 and -62886.
-7043232
0.0042 * 9104.1
38.23722
What is 0.095031 times -190?
-18.05589
Product of 22812.73 and 7.
159689.11
Work out -57.98 * -0.165.
9.5667
-0.4050103*-0.343
0.1389185329
Work out 6.3732 * 858.
5468.2056
What is the product of 68412109 and 0?
0
Calculate 5615200*70.
393064000
852*-9293
-7917636
0.2 times -48676.63
-9735.326
16263584 times 0.08
1301086.72
Multiply 721 and 142985.
103092185
What is 13.6465 times -0.9?
-12.28185
What is the product of -85 and -753158?
64018430
0.9 * 0.06554273
0.058988457
What is the product of 138872 and -187?
-25969064
477077 * -0.58
-276704.66
Work out 1588812 * -109.
-173180508
What is the product of 43948 and 274?
12041752
Product of -3901579 and -5.
19507895
45782893 times 0.4
18313157.2
Multiply 0.062 and -0.075051.
-0.004653162
1206.907 times -0.3
-362.0721
-98.7241 times -0.1
9.87241
181121.1*3
543363.3
-0.1 times -38531598
3853159.8
What is the product of -15.5224 and 76.86?
-1193.051664
-7676.4 times -0.155
1189.842
What is the product of -336253.56 and 2?
-672507.12
Multiply 13240 and 0.6145.
8135.98
Work out -2466071 * 0.2.
-493214.2
319639*655
209363545
Calculate 23591*-0.0882.
-2080.7262
Calculate 4*-560181.
-2240724
Product of -185088 and 0.088.
-16287.744
Work out -2445553 * 0.0462.
-112984.5486
16423*-0.1796
-2949.5708
3.16233 * 110
347.8563
2781.4*0.02267
63.054338
-16.33 times -28354
463020.82
-0.047931231 times -0.1
0.0047931231
Work out 66.02 * 2113.
139500.26
-24.3*-5042.79
122539.797
What is the product of 22914611 and 0.1?
2291461.1
Work out -89.04 * 323.
-28759.92
What is 3338068 times -0.13?
-433948.84
3795673 * 46
174600958
What is the product of 47638094 and 0.5?
23819047
-12 times 466.227
-5594.724
What is the product of 60.3 and -136031?
-8202669.3
What is the product of 0.0521 and -40966?
-2134.3286
Calculate 1047493*60.7.
63582825.1
63637557*0.1
6363755.7
0.01148517 * -74
-0.84990258
Calculate -7422503*1.
-7422503
Calculate 612.48*57.4.
35156.352
Multiply -39423 and 153.
-6031719
Work out 879066 * 107.
94060062
What is 2.62018 times 38?
99.56684
Multiply -0.1 and -139.4147.
13.94147
What is the product of 0.41237 and 1744.1?
719.214517
What is the product of -152088 and -5?
760440
What is the product of -0.474270486 and -0.5?
0.237135243
What is -16.5 times -68700?
1133550
Multiply -0.4 and -64111034.
25644413.6
-27698 times 0.0209
-578.8882
-24 times 3937.5004
-94500.0096
Product of 174.05052 and -0.01.
-1.7405052
Calculate -2.3117*0.5758.
-1.33107686
-1.3 * 0.09032657
-0.117424541
Calculate -947*14.3972.
-13634.1484
-31.07672 times -3.54
110.0115888
Work out -0.4 * 6274727.6.
-2509891.04
53.8687 times 130
7002.931
0.2*-265951.6
-53190.32
24 times -4097262
-98334288
What is the product of 2.8464 and 0.155?
0.441192
What is 449815 times -0.06?
-26988.9
Multiply 669205 and 0.252.
168639.66
What is the product of -765 and -0.0502067?
38.4081255
What is 0 times 1.74395?
0
-5 * -23378772
116893860
-67744 times 7809
-529012896
Work out 1458 * -0.02033.
-29.64114
-301265314 times 2
-602530628
-21498 times 0.88
-18918.24
Product of 902942.1 and -0.008.
-7223.5368
Multiply 1604.688 and -651.
-1044651.888
Calculate -0.0231*-1123.8.
25.95978
What is -34 times 7712.4?
-262221.6
-1985428*0.446
-885500.888
-765 times 0.02478
-18.9567
Multiply 7.23 and -0.00465.
-0.0336195
1.754 * -777
-1362.858
-6621321 times 20
-132426420
What is -774287 times 21?
-16260027
What is the product of 0 and 203588.6?
0
-0.8748*-115
100.602
Work out -0.4008673 * 26.
-10.4225498
What is -131891.1 times 0.7?
-92323.77
0.08 times 0.0842583
0.006740664
Product of 0.16 and 155.09.
24.8144
Calculate -104*36205.
-3765320
Work out -0.23372 * 565.
-132.0518
What is the product of 2041.3 and -394?
-804272.2
What is the product of 324.2 and -1326.42?
-430025.364
Multiply 2018253 and 1.
2018253
Multiply -27843922 and 0.2.
-5568784.4
-387216901 * 0.2
-77443380.2
What is -169.767414 times -4?
679.069656
0.05 * 165562
8278.1
Work out -10311 * 348.79.
-3596373.69
Product of 1853539 and -0.29.
-537526.31
104455 times -669.4
-69922177
Multiply 0.1 and -1052.9706.
-105.29706
What is 278 times 1.8939?
526.5042
Work out -0.32 * -3.694791.
1.18233312
-0.62492 * 30.28
-18.9225776
16*21801243
348819888
-0.7*-1803380
1262366
Work out 7.42 * -15739.
-116783.38
Multiply -26 and 8211.
-213486
Calculate -326*-3.4263.
1116.9738
Product of 1538 and -116.6.
-179330.8
511844 times -695
-355731580
-4 times -27181.64
108726.56
Work out 94296 * 3022.
284962512
Calculate 0.4*10173.24.
4069.296
0.11 times 3147384
346212.24
-3 * -702214
2106642
133599 * -125.5
-16766674.5
What is the product of -20 and 90726.28?
-1814525.6
-0.1 * -35371.1
3537.11
Multiply 10.6 and -1252864.
-13280358.4
Work out 0.4 * 38519.9.
15407.96
Multiply -766645 and 0.8.
-613316
Work out 5.71 * 0.054279.
0.30993309
What is the product of 580893 and 66.7?
38745563.1
Product of 19627 and -4128.
-81020256
Work out -20.25405 * -0.9.
18.228645
45 times -12195.12
-548780.4
Product of 26286152 and -0.5.
-13143076
Work out 55925160 * 0.9.
50332644
What is 542 times -14294?
-7747348
Product of 131 and 216021.
28298751
-0.102 times -0.1394
0.0142188
Multiply 0.05 and -612683.
-30634.15
Multiply -66 and 1051.
-69366
-1702.527 times 0.02
-34.05054
Work out 5.92 * -596.67.
-3532.2864
Product of 38696643 and 26.
1006112718
Work out 10.2462 * 1.14.
11.680668
-341.21 times -106.4
36304.744
Multiply -0.3 and 12.461557.
-3.7384671
-148 times -64875.2
9601529.6
104290 times 162.4
16936696
-0.0295064*-5
0.147532
What is -1958914.71 times 0.3?
-587674.413
Product of -10497555 and 0.5.
-5248777.5
What is -887 times 32631?
-28943697
What is the product of 0.5448626 and -4?
-2.1794504
Work out -14413140 * -9.
129718260
Calculate 4.8*0.08410253.
0.403692144
Work out 100385 * 53.7.
5390674.5
195*-0.150233
-29.295435
Work out -183 * 32982.
-6035706
1921*-0.2332
-447.9772
Product of 136217 and 0.24.
32692.08
-0.2372987 * -0.016
0.0037967792
What is the product of 0.20774 and 73?
15.16502
-618906 * 69
-42704514
1 * -3167921
-3167921
What is 586.1 times 59?
34579.9
What is 2191 times 384.3?
842001.3
Calculate -825291*0.092.
-75926.772
Calculate -0.298701*-3.3.
0.9857133
Product of -119.14 and 0.020773.
-2.47489522
Calculate 0.02535059*-0.076.
-0.00192664484
Work out -3 * -18.5044176.
55.5132528
Multiply -832 and -1.22526.
1019.41632
What is 2167833 times -0.5?
-1083916.5
What is 77.456 times 114.4?
8860.9664
Calculate 18906864*25.
472671600
What is the product of 21797076 and -0.3?
-6539122.8
What is -44633267 times 0.4?
-17853306.8
Work out 4.912571 * 24.
117.901704
Work out 0 * -431703.
0
Multiply 45 and -93914.
-4226130
What is the product of -57818799 and -0.4?
23127519.6
Calculate -8938*-70955.
634195790
Calculate -0.71*-1575.62.
1118.6902
Product of -1249744438 and 1.
-1249744438
Calculate -4045.7*34679. | {
"pile_set_name": "DM Mathematics"
} |
Rearrange 41917 - 83849 - 122*u**3 + 41912 to the form p*u + k + o*u**3 + w*u**2 and give k.
-20
Express -10*n**3 + 77 - 150 + 77 - 3*n**3 + 2*n**3 + 2*n**3 + (-1 + 2 - 3)*(-4 - 8*n**3 + 4) in the form q*n**3 + m*n + f + t*n**2 and give f.
4
Rearrange -65*g**2 + 129*g**2 + 1584*g**3 - 62*g**2 + 1761*g**3 to m*g**2 + w*g + t*g**3 + o and give o.
0
Rearrange -294*z**4 + 4*z - 285*z**4 + 2*z**3 + 13 + 580*z**4 to q*z + x + w*z**3 + t*z**2 + j*z**4 and give j.
1
Rearrange 1563*r + 688*r - 46*r - 4 + 4 + 3*r + 4 - r - 4 + 3 + r - 3 + (2*r - 2 + 2)*(4 + 1 - 4) + 4*r - 2*r - 3*r to f + s*r and give s.
2209
Rearrange 2*a**3 - 3 - 65*a**2 + 214*a**2 - 63*a - 73*a**2 - a**3 - 64*a**2 to g*a + j*a**3 + o + t*a**2 and give t.
12
Rearrange ((1 - 4 + 4)*(4 - 4 + 3) - 2 + 4 + 2)*(-346*b + 53*b + 28*b) to h + r*b and give h.
0
Express -352226*o**2 + 352440*o**2 + 9 - 9 in the form q*o**2 + j + b*o and give q.
214
Rearrange -69 - 70 + 7*a + 189 - 83 to u*a + z and give u.
7
Express (44 - 33 + 29)*(-2097 + 2097 + 331*d**3 + (-5 + 0 + 4)*(4*d**3 - 4*d**3 + 2*d**3)) as o*d + z*d**2 + w + r*d**3 and give r.
13160
Express -7*a**4 - a**3 + 20*a**4 + 1 - 13*a + 2*a**4 - 8*a**4 + 48*a as b*a + s*a**2 + k*a**3 + h + g*a**4 and give h.
1
Express -a + 28*a**2 - 10*a**3 + 3*a**3 + 0*a**4 + a**4 - 23*a**2 as v + r*a**4 + h*a**3 + p*a + m*a**2 and give h.
-7
Rearrange 69*v**2 + 246 - 68*v**2 - 15*v - 3048 + 17*v to u + b*v**2 + t*v and give t.
2
Express (37 - 37 + i**2)*(27*i + 12*i - 12*i) + (-6 + 8*i + 6)*(2 + 2*i**2 - 2) in the form v*i + o*i**3 + z + l*i**2 and give o.
43
Rearrange (w - 2*w - 3*w)*(3 + 2 - 4) - 2 + 2 + 2*w - 2*w - 1 + 1 + (-9*w - w - w)*(-1 - 5 + 4) to p + c*w and give c.
18
Rearrange (-1 + 5 - 2)*(13*i + 14*i - 22*i) to the form g*i + p and give g.
10
Rearrange (4*j**3 + 0*j**3 - 3*j**3)*(-11 + 10 + 12 + (2 - 6 + 0)*(6 + 1 - 3)) to the form l*j + n*j**3 + i + p*j**2 and give n.
-5
Rearrange -5*y**2 + 36*y**2 - 32*y**2 + 567*y**3 to q*y**3 + n + s*y**2 + t*y and give s.
-1
Rearrange (-2 + 3*x - 2*x - 9*x)*(-447*x - 921*x - 742*x) to the form s*x + k*x**2 + d and give k.
16880
Rearrange (-12*l**2 + 30*l**2 - 12*l**2 - l**3)*(22 - 10*l + 11 - 17) to s*l**2 + m*l + i*l**4 + f + p*l**3 and give p.
-76
Express 98 - 26*o + 27*o + 9 - o + 2*o + o + (0 + 1 + 1)*(0*o + 2*o - 9*o) in the form w + a*o and give a.
-11
Rearrange 99 - 358 - 441*q**3 + 229 to the form i + n*q**3 + p*q**2 + x*q and give i.
-30
Express 5 + 580734*t - 490*t**2 - 290367*t - 290367*t in the form a*t + y*t**2 + x and give a.
0
Rearrange (-4*a + 4*a + 2*a**3)*(-374*a + 5713*a + 14063*a) to q*a**2 + h + f*a**4 + u*a**3 + l*a and give f.
38804
Express (-4 - 4 + 2)*(-62*a - 64*a + 3*a)*(-a + 3*a + 0*a) - 3*a**2 + 3*a**2 - a**2 as h*a**2 + v + k*a and give v.
0
Rearrange (-78*c - 154*c - 180*c)*(-2*c**3 + 4*c**3 + 10*c**3) to the form m*c**2 + u + q*c**3 + w*c + k*c**4 and give k.
-4944
Rearrange (-3*y**2 - 3*y**2 + 3*y**2)*(2*y**2 - 2*y**2 - 3*y**2) + 5942*y**4 + 175*y**4 + 276*y**4 to f*y**3 + g*y**2 + j*y + o*y**4 + n and give o.
6402
Express -71*u**2 + 64*u**2 - 2509 + 3*u**2 in the form f*u**2 + w + l*u and give w.
-2509
Express 54*m + 18063 - 325*m - 18064 in the form a*m + n and give n.
-1
Rearrange -359*q**4 - 8*q**3 - 30*q - 22*q - 4*q**2 + 3*q**2 + 342*q**4 + 57*q to the form p*q + i*q**3 + m*q**2 + h + v*q**4 and give m.
-1
Rearrange -18*z**3 + 2*z**3 + 3*z**3 + (8 + 1145*z**2 - 1145*z**2 - 7*z**3)*(-1 - 3 + 6) to the form m*z**2 + u*z + l*z**3 + x and give l.
-27
Rearrange -2113*c**2 + 10957*c**2 + 3702*c**2 + 8311*c**2 to v*c**2 + p*c + b and give p.
0
Express -91*z**2 + 290*z**2 - 96*z**2 + z - 105*z**2 - 22 in the form r*z + x + b*z**2 and give b.
-2
Rearrange (5*k + 5*k - 3*k)*(-876 + 2513 - 937) to i*k + w and give i.
4900
Rearrange -4*n**2 + 25 - 8 - 5 - 12 - 184*n to the form u*n**2 + a*n + p and give a.
-184
Express 1 - 8*d**4 - 29 + 12 - 11*d**3 + 14 + 3*d**2 in the form i + b*d**2 + n*d**3 + k*d + c*d**4 and give b.
3
Rearrange i + 372*i**3 + 0*i - 371*i**3 - 261*i**2 + 5 + 264*i**2 to the form l*i**2 + y*i + b*i**3 + r and give r.
5
Rearrange 501907*x**3 - 1 - 501905*x**3 - 2*x**2 - 2 - 11*x**4 to the form r*x**4 + s*x**3 + y*x**2 + c + u*x and give y.
-2
Express -7*d**3 - 9*d**3 + 8*d**2 + 19*d**3 + (d - 3*d + d)*(-7*d**2 - 29*d**2 + 29*d**2) in the form s + b*d**3 + c*d**2 + z*d and give c.
8
Rearrange (0 + 2 + 0 + (18 + 21 - 5)*(-3 - 1 + 3))*(-2*j**2 - 2*j**2 + 7*j**2)*(-19*j - 5*j + 11*j) to m + i*j + o*j**3 + q*j**2 and give o.
1248
Express (0*o**2 - 5*o**2 + 0*o**2)*(-201 - 368 - 161 + 206) in the form x*o**2 + i + p*o and give x.
2620
Rearrange 16*g**2 - 14*g - 774 - 2*g**2 + 10*g + 806 to the form m*g + o*g**2 + z and give z.
32
Express -38170*r + r**3 + 0*r**2 + 38156*r + 2 - 5*r**2 - 6*r**3 as l*r + v + t*r**2 + c*r**3 and give l.
-14
Express -33782857*l**3 - 198*l**2 + 3 + l + 2*l - 5*l + 33782859*l**3 in the form x*l + q*l**2 + o*l**3 + z and give z.
3
Rearrange (-s**2 - 4 + 4)*(26609 + 26485 - 53297) to a*s**2 + p + b*s and give a.
203
Rearrange -54*p + 2*p**2 + 103*p - 5*p - 44*p + 2037 to l*p + x + a*p**2 and give a.
2
Express -3*o**3 + 1805 + 15*o**2 - 4*o - 12*o**2 - 1794 in the form x*o + p*o**3 + j + n*o**2 and give p.
-3
Express -488*a + 3760*a + 261*a + 3656*a in the form z*a + u and give z.
7189
Express -4*x + 2*x - 5*x + (305 - 305 - 238*x)*(-2 + 0 + 0) in the form i*x + o and give i.
469
Rearrange 542 - 13 + u - 51 to f + t*u and give t.
1
Rearrange (-6 + 6 + 2*c + 0*c + 2*c - 4*c + (1 + 0 - 3)*(6*c - 2*c - 2*c))*(5*c - c - 25*c + (-4 + 2 + 4)*(4*c + 0*c - 3*c)) to b + k*c + q*c**2 and give q.
76
Express 535*y**4 - 564*y**4 + 0 - 1 + (6*y + 2*y - 3*y)*(10*y**2 - 2*y**3 - 10*y**2) in the form b*y**2 + u*y + f + c*y**3 + n*y**4 and give n.
-39
Rearrange (-4*n + 0 + 0 + (n - 3*n + 4*n)*(-2 + 0 + 0) + n + 2 - 2 - 2*n + 0 + 0)*(0*n - 3*n + 2*n)*(-20 - 5 - 4) to z*n**2 + k + o*n and give z.
-261
Express 3*j**3 - 1826 + 1212 - 7*j**3 + 3742*j**2 - 3740*j**2 in the form a*j**2 + f + x*j + p*j**3 and give p.
-4
Express -884*b**2 + 30100*b - 2 - 15043*b - 15055*b in the form o + n*b**2 + l*b and give o.
-2
Express -71170 - 71173 + 3377*k**2 + 142340 in the form x*k + d + t*k**2 and give t.
3377
Express -7*a**2 - 1615*a**2 - 675*a**2 - 1151*a**2 + 559*a**2 as b*a**2 + l + i*a and give b.
-2889
Express -16*s - 21 + 279*s**2 - 11 + 6 + 2 + 2*s**3 - 282*s**2 in the form l*s**3 + h + m*s + k*s**2 and give k.
-3
Rearrange -8 + 255*n + n**2 - 47*n**4 + 44*n**4 - 264*n to a*n + l + d*n**2 + i*n**3 + u*n**4 and give l.
-8
Express (-2*g**2 - 31 + 31)*(2 + 0 - 4)*(-108 - 108 + 38) in the form q*g**2 + y*g + u and give q.
-712
Rearrange 77 + 0*q**2 + 10*q**2 + 103 - 9*q**2 to the form n*q**2 + k*q + x and give k.
0
Express (-54494*v + 54494*v - 628*v**4 + 2)*(0 + 2 - 1) in the form f*v**2 + l + r*v + g*v**4 + y*v**3 and give l.
2
Express -1 + 240*q + q**4 + 280*q**3 - 268*q**3 + 4*q**2 - 13*q**3 as s*q**4 + u*q**3 + g + m*q + a*q**2 and give u.
-1
Express -65 - a + 2*a**3 - 131 + 556 + 95 in the form x + k*a + l*a**2 + g*a**3 and give g.
2
Express 20394 + 9*z**2 + 13*z**2 - 20331 as k*z**2 + h + u*z and give k.
22
Rearrange 0 - u**2 + 0 + (56 - 54 - 511)*(5*u - 7*u**2 - 5*u) + (3*u**2 - 4*u**2 + 2*u**2 + 2*u)*(1 - 5 + 3) to p + c*u + l*u**2 and give p.
0
Rearrange 54*u**3 + 2*u**2 + 100*u - 79*u - 2*u**2 to j*u**3 + c*u**2 + x + r*u and give j.
54
Rearrange (g - g - g)*(-10263*g + 44199*g + 1 - 7 + 63750*g + 6) to i + f*g + s*g**2 and give s.
-97686
Rearrange -111 + 111 - 183*l**2 + (-2*l**2 - l**2 + 4*l**2)*(-7 + 3 + 2) - l**2 - 4*l**2 + 2*l**2 to h*l**2 + z*l + d and give z.
0
Rearrange (6*o + 330314 - 330588 - 3*o)*(-4 + 11*o + 12 - 8) to r*o + n*o**2 + a and give r.
-3014
Rearrange -7 - 518841*d - 7 + 518461*d to x*d + y and give y.
-14
Express -18144908*z**3 + 1 + 18144911*z**3 - 283*z + 0 as v*z**3 + u*z + s + r*z**2 and give s.
1
Express t + 1151 + t - 12*t + 2*t + 4*t in the form o + r*t and give r.
-4
Rearrange g**2 - 9*g**2 + 4230*g + 2712*g + 7*g**2 to s*g**2 + v + u*g and give s.
-1
Rearrange 180572*u**2 - 9 - 11*u - 180572*u**2 + 5*u**3 to x*u**3 + p*u**2 + j*u + y and give j.
-11
Express -585*a**3 + 304*a**3 - 1689*a**2 + 277*a**3 as m*a + g*a**2 + d + | {
"pile_set_name": "DM Mathematics"
} |
324
Simplify 3 + 1*(1 + sqrt(272)) + ((1 + sqrt(17))*-4 + -2*sqrt(153))**2.
84*sqrt(17) + 1720
Simplify (sqrt(175)*2*-3 - sqrt(175))**2 - (1*sqrt(175) - 3*(sqrt(7) + (sqrt(112) - sqrt(7)))**2).
-5*sqrt(7) + 8911
Simplify 2 + (sqrt(684)*1)**2 + (sqrt(190)/(sqrt(10)*2) - (2 + sqrt(19) + 1)) + -4.
-sqrt(19)/2 + 679
Simplify ((sqrt(2299)*2 + 3 + sqrt(2299)*-1 + 5)*-4)**2.
2816*sqrt(19) + 37808
Simplify (-4 + (4*sqrt(153))/sqrt(9) + sqrt(17) + (sqrt(153)*3 + sqrt(153) - sqrt(153) - sqrt(153)))**2.
-88*sqrt(17) + 2073
Simplify (((sqrt(68) + sqrt(68)*1 + -4 - sqrt(68)) + sqrt(68) + -3 + 1 + sqrt(68))*-3)**2.
-648*sqrt(17) + 5832
Simplify (-4 + sqrt(208)*3)*-5*-1.
-20 + 60*sqrt(13)
Simplify -5 + ((-6*-2*sqrt(1700) + (sqrt(1700) - ((sqrt(1700) + -1 - sqrt(1700))*2 - sqrt(1700))))*4)**2.
8960*sqrt(17) + 5331259
Simplify -5*(sqrt(19) + (sqrt(19) - 4*4*sqrt(19))) - ((sqrt(19) + (sqrt(76)*3 - sqrt(76))/sqrt(4))**2 + 4).
-175 + 70*sqrt(19)
Simplify 2 + (-2*(-6*(-1*sqrt(1053) + -3) + -5))**2.
5616*sqrt(13) + 152310
Simplify ((-3*sqrt(500))/((sqrt(10) - 5*sqrt(10))*-6))**2 + 2.
89/32
Simplify (((sqrt(121) + -2*sqrt(121) + sqrt(121) - sqrt(121)) + sqrt(121))*-4)/(2*sqrt(539)) + 0.
0
Simplify ((sqrt(24) - (sqrt(24) + sqrt(600) - sqrt(24))*-6)*3)/((sqrt(144)*-2)/sqrt(12) + sqrt(1200)*1).
93*sqrt(2)/8
Simplify -6*(-5*(sqrt(891) - (sqrt(891) + -2)) + (sqrt(891)*-3)**2 + 4).
-48078
Simplify (sqrt(210)/(sqrt(7)*2))/(sqrt(10) - sqrt(160)*-2).
sqrt(3)/18
Simplify (-3*(sqrt(7) + sqrt(1008) + sqrt(1008) + 1 + 4)*-2 + -3)**2.
8100*sqrt(7) + 158229
Simplify ((-4*sqrt(180))/sqrt(6))/sqrt(10) + sqrt(135)/sqrt(5) + -2.
-2 - sqrt(3)
Simplify ((sqrt(150)*5)/(sqrt(3) - (2*sqrt(243) - sqrt(243))))**2.
625/32
Simplify (sqrt(104) - ((sqrt(104) - (-4*sqrt(104) + sqrt(104))*3) + sqrt(104)))/((sqrt(64) + -3*sqrt(64))/sqrt(8)).
5*sqrt(13)
Simplify (sqrt(90)/(sqrt(3)*-3))/((5*sqrt(50))/sqrt(5)).
-sqrt(3)/15
Simplify (4*(sqrt(228) - sqrt(228)*4))/(sqrt(300) + (sqrt(300) - (-3*sqrt(300) + sqrt(300) + sqrt(300) - sqrt(300)))).
-3*sqrt(19)/5
Simplify -6*(sqrt(576) - (-2*sqrt(576) + sqrt(576)))/(sqrt(3) - (-2*sqrt(3)*4 - sqrt(3))).
-48*sqrt(3)/5
Simplify (sqrt(560)/sqrt(160) - (sqrt(448) + sqrt(448) + (sqrt(448) - (-1*sqrt(448) - sqrt(448))))/sqrt(8))/(sqrt(56)/(2*sqrt(175) - sqrt(175))).
-95*sqrt(7)/4
Simplify (1 + (4*sqrt(475))**2 + ((1 + sqrt(475))**2 - sqrt(475))*5)*1.
25*sqrt(19) + 9981
Simplify ((-3 + -1*(sqrt(891) - (sqrt(891) - (sqrt(891) + -1))) + 5 + 4)*-4)**2.
-2016*sqrt(11) + 15040
Simplify ((sqrt(2) - (-1 + sqrt(2) + -3))*5 - 5*(sqrt(2) - (sqrt(242) + -1)))**2.
1500*sqrt(2) + 5225
Simplify (-6*(sqrt(91) - (-4*sqrt(91)*4 + sqrt(91))))/(-1*sqrt(7)*-4*5).
-24*sqrt(13)/5
Simplify ((1*sqrt(7200))/(sqrt(20)/(sqrt(2)*-2 - sqrt(2))) + 4)**2.
-288*sqrt(5) + 6496
Simplify -3 + (((sqrt(200) - sqrt(200)*2)/sqrt(10))**2 - (sqrt(320) + -4) - (4 + (sqrt(180) - sqrt(20))**2 + 4)).
-67 - 8*sqrt(5)
Simplify (5*((sqrt(525) - (sqrt(525) - sqrt(525)*-1)) + sqrt(525) + sqrt(21)))/(((sqrt(35) - (sqrt(1715)*-1 - sqrt(35))) + sqrt(35))/sqrt(5)).
sqrt(3)/2
Simplify (5*3*sqrt(110)*-6)/(-6*(sqrt(250) + sqrt(250) + -1*sqrt(250)) - sqrt(250)).
18*sqrt(11)/7
Simplify (2*sqrt(63) + sqrt(7) + (sqrt(112) + 5 + sqrt(7) - sqrt(7)))**2 - (3*2*sqrt(7) - (sqrt(63) + 4)).
107*sqrt(7) + 876
Simplify ((sqrt(91) + (sqrt(91) - 4*sqrt(91)*2) + (-1*(-1*sqrt(91) - sqrt(91)) - sqrt(91)))/(sqrt(112)*3 - sqrt(448)*1))**2.
325/16
Simplify -4 + (-3*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) + -2))) - (sqrt(1377) + 6*(sqrt(1377) - (sqrt(1377) + 0 + sqrt(1377)) - sqrt(1377))))**2.
-864*sqrt(17) + 88160
Simplify 0 + (1 + sqrt(343) - (sqrt(7) + -5 + sqrt(7)*2))*3.
18 + 12*sqrt(7)
Simplify ((sqrt(500)*2)/(-2*sqrt(250)))**2.
2
Simplify sqrt(68)/sqrt(4)*6 - (-2 + (sqrt(17)*-1)**2) - (5 + -5 + 1*sqrt(17)).
-15 + 5*sqrt(17)
Simplify (sqrt(350)*-3)/(sqrt(10)/(sqrt(5)*-4)).
60*sqrt(7)
Simplify 2 + 1 + -6*(1 + -1 + sqrt(1216)) + 0.
-48*sqrt(19) + 3
Simplify (sqrt(81)/sqrt(3)*2 - sqrt(27))/(5*sqrt(225))*4 + -2.
-2 + 4*sqrt(3)/25
Simplify (-2*sqrt(30)/sqrt(6) - (sqrt(125) + 1 - sqrt(125))) + sqrt(5) + (1 + sqrt(20) - sqrt(5)) + sqrt(720) + -2.
-2 + 12*sqrt(5)
Simplify ((-2*2*sqrt(153) - sqrt(153))/(3*sqrt(144) + sqrt(9)) + -3)*-4 + -2.
20*sqrt(17)/13 + 10
Simplify (4*3*sqrt(1323) + sqrt(1323) - sqrt(1323))/((sqrt(45) + (sqrt(3645) - -2*sqrt(3645)))/sqrt(5)).
3*sqrt(3)
Simplify (-6*(-1 + sqrt(242)) + sqrt(242) + -1 + -4)**2 + (2 + sqrt(242) + 2 + sqrt(242))**2*-2.
-462*sqrt(2) + 4083
Simplify ((-3 + 4*((sqrt(208) + 0)*-3 - (sqrt(208)*-1*4 + sqrt(208))))*-5)**2.
225
Simplify 2 + 5*(-4 + (sqrt(99)*6 - sqrt(11)) + sqrt(11)).
-18 + 90*sqrt(11)
Simplify ((sqrt(3) - (-2 + sqrt(3) + -2)) + 0 - (1*(1 + sqrt(300)) - sqrt(300)))**2.
9
Simplify 2*(sqrt(204) + (sqrt(204) + (sqrt(204) - 2*sqrt(204)))*4)/(sqrt(12) - sqrt(588)*2).
-2*sqrt(17)/13
Simplify (sqrt(136) + (sqrt(136) - -5*(sqrt(136) + sqrt(136) + 2*sqrt(136))) + sqrt(136) + sqrt(136)*2*5 + sqrt(136))/(sqrt(224)/sqrt(7)*3).
17*sqrt(17)/3
Simplify (-5 + (sqrt(1080)*2)/(sqrt(12)/sqrt(2)*-3) + 0)*3.
-12*sqrt(5) - 15
Simplify (-4*(sqrt(243) + 1 + 3)*4)**2*-5.
-331520 - 92160*sqrt(3)
Simplify sqrt(147) + (4 + (sqrt(147) + -1 - sqrt(147)) - sqrt(147))**2 + sqrt(147) + (1*sqrt(75))**2 + -3.
-28*sqrt(3) + 228
Simplify -1*(-3 + sqrt(1872) - sqrt(91)/sqrt(112)).
-47*sqrt(13)/4 + 3
Simplify -2*(sqrt(135)/(sqrt(18)/((sqrt(6) - sqrt(12)/sqrt(2)) + sqrt(6) + sqrt(6))) + (sqrt(405) + 0)**2*6).
-4860 - 12*sqrt(5)
Simplify (sqrt(242) - -6*(-4 + sqrt(242))) + sqrt(242) + 2 + -5.
-27 + 88*sqrt(2)
Simplify (-1 + -5 + ((4 + sqrt(2736))*-2 - (2 + sqrt(2736) + 4 - sqrt(2736))))**2.
960*sqrt(19) + 11344
Simplify -3*(sqrt(6171) + 4*(sqrt(6171) + -2*sqrt(6171)) + sqrt(6171))/(sqrt(480)/(sqrt(30)/sqrt(3)) - sqrt(48) - sqrt(48)).
-33*sqrt(17)/2
Simplify 4 + 4 + (3 + (sqrt(13) - sqrt(65)/sqrt(5)))**2 + sqrt(91)/(2*sqrt(28)).
sqrt(13)/4 + 17
Simplify ((4*sqrt(110)*-3 + sqrt(110) + sqrt(110))/(-4*sqrt(10)*2))**2.
275/16
Simplify sqrt(30)/(sqrt(6) + (sqrt(360)/sqrt(6))/sqrt(10)) - (0 + sqrt(80) + 1 + sqrt(80)).
-15*sqrt(5)/2 - 1
Simplify 2*(((sqrt(280) - sqrt(280)*2)/sqrt(10))/(sqrt(16)*-2 + sqrt(4))*-6)**2.
56
Simplify (-2 + sqrt(300) + 1)**2 + 4 + -4 + sqrt(3) + (2*sqrt(27))/sqrt(9) + 2.
-17*sqrt(3) + 303
Simplify 6*((sqrt(242) - ((sqrt(242) - (sqrt(242) + 2)) + sqrt(242)))**2 - (sqrt(2) + sqrt(2) + 0)*5).
-60*sqrt(2) + 24
Simplify (sqrt(104) - (-5*1*sqrt(104) - sqrt(104)) - sqrt(104)*2*-5)/((6*sqrt(64)*-2)/sqrt(8)).
-17*sqrt(13)/12
Simplify (1 + sqrt(38)/sqrt(2) + sqrt(76)*-3 - sqrt(190)/sqrt(10)*2*-2)**2.
-2*sqrt(19) + 20
Simplify -5*(2 + sqrt(68) + sqrt(68) - sqrt(68))**2 - ((sqrt(34)/sqrt(18))**2 + 4).
-3293/9 - 40*sqrt(17)
Simplify ((sqrt(125)/sqrt(5)*-3)/sqrt(5))**2 + (5 + sqrt(40)/(-3*sqrt(8)) + sqrt(5))**2.
20*sqrt(5)/3 + 650/9
Simplify -2 + ((sqrt(25) - sqrt(100)/sqrt(4))*-3)/(sqrt(5) + sqrt(20)/sqrt(4)*-3)*2.
-2
Simplify (sqrt(352) + sqrt(352)*2*-2 + sqrt(352))/(sqrt(11) + (sqrt(132)*-2 - sqrt(132))/sqrt(12)) + -5.
-5 + 4*sqrt(2)
Simplify ((-1*sqrt(156) - sqrt(156))*-4)/((1*sqrt(108))/sqrt(9)).
8*sqrt(13)
Simplify (sqrt(114)*1)/sqrt(6) + 5 - (3 + (sqrt(304) + 0 + sqrt(304))**2).
-1214 + sqrt(19)
Simplify (sqrt(513)/sqrt(729))/(2*sqrt(12)).
sqrt(19)/36
Simplify (-1*(sqrt(38)/sqrt(2) + -5 - sqrt(19)))**2 + 4 + (sqrt(171)*-2)**2.
713
Simplify ((sqrt(5) + 3 + sqrt(5) + 3 - 4*(-1 + sqrt(5)))*-4)**2.
-640*sqrt(5) + 1920
Simplify (0 + sqrt(11) + 3*sqrt(11) + -5 + sqrt(22)/sqrt(2)*-5 + -6*sqrt(99))**2.
190*sqrt(11) + 3996
Simplify (-4*sqrt(121)*2*-6)/(3*(sqrt(220) - sqrt(55))/sqrt(5)).
16*sqrt(11)
Simplify (sqrt(15)*1*2 + (sqrt(105)*-2)/sqrt(7))/((sqrt(245) + sqrt(245)*3 + sqrt(245) + sqrt(245) + sqrt(245))*-6).
0
Simplify ((-3 + sqrt(1216) + 3)**2 - (-6*(sqrt(133)*-1 + sqrt(133)))/sqrt(7)) + -5.
1211
Simplify -3*(3 + sqrt(320) + -4)*-6.
-18 + 144*sqrt(5)
Simplify (sqrt(225) - sqrt(25))/sqrt(5) + (sqrt(5) - sqrt(50)/(sqrt(10) + sqrt(10) + sqrt(20)/sqrt(2) - sqrt(10))) + -2 + sqrt(125) + (0 + sqrt(180))**2.
15*sqrt(5)/2 + 178
Simplify sqrt(50)/(sqrt(360)*2 + sqrt(360)) - (-5*(sqrt(5)*-2 - sqrt(5))*2)**2.
-4500 + sqrt(5)/18
Simplify (3 + -4*(sqrt(15)/sqrt(5)*1 + sqrt(3) + -2 + (sqrt(3) - (6*sqrt(3) + sqrt(3) - sqrt(3) - sqrt( | {
"pile_set_name": "DM Mathematics"
} |
e prob of picking 1 q and 1 x.
3/190
Calculate prob of picking 1 r and 1 a when two letters picked without replacement from raarrrra.
15/28
Two letters picked without replacement from cxuubccccfbbccqffc. What is prob of picking 1 c and 1 f?
8/51
What is prob of picking 1 f and 2 b when three letters picked without replacement from {f: 1, g: 1, b: 2, l: 2, i: 4}?
1/120
What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 3, k: 1}?
1/2
Three letters picked without replacement from pqpeepqepeeeee. What is prob of picking 3 e?
2/13
What is prob of picking 1 j and 1 g when two letters picked without replacement from {n: 5, q: 2, f: 3, j: 5, g: 3}?
5/51
Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {j: 2, d: 1, z: 4, w: 1, a: 1}.
1/18
What is prob of picking 1 g and 3 s when four letters picked without replacement from sgggsgsgggsggggggggs?
10/323
What is prob of picking 2 w, 1 g, and 1 b when four letters picked without replacement from {w: 5, n: 1, y: 3, g: 3, u: 1, b: 1}?
30/1001
Four letters picked without replacement from {a: 1, o: 11}. Give prob of picking 4 a.
0
Three letters picked without replacement from ptvom. What is prob of picking 1 t, 1 m, and 1 p?
1/10
Four letters picked without replacement from nnnffnnnnfn. Give prob of picking 3 f and 1 n.
4/165
Three letters picked without replacement from {x: 4, u: 1, k: 1, w: 2, i: 1, b: 3}. Give prob of picking 1 i, 1 k, and 1 w.
1/110
Four letters picked without replacement from {f: 17, e: 1}. Give prob of picking 1 e and 3 f.
2/9
What is prob of picking 3 p when three letters picked without replacement from {p: 11, l: 1, h: 5}?
33/136
Four letters picked without replacement from {q: 7, a: 8, n: 2, l: 1}. Give prob of picking 3 q and 1 n.
7/306
What is prob of picking 1 j and 1 v when two letters picked without replacement from djkkvvvkdkjdkddjvdjj?
2/19
Two letters picked without replacement from kksksvksisuvsvk. What is prob of picking 1 u and 1 v?
1/35
Four letters picked without replacement from {p: 3, a: 3, l: 1, z: 7, u: 2, d: 2}. What is prob of picking 1 u, 2 d, and 1 a?
1/510
Two letters picked without replacement from kkk. Give prob of picking 2 k.
1
What is prob of picking 1 k, 1 h, and 1 l when three letters picked without replacement from {h: 5, k: 3, w: 3, l: 2, b: 2}?
6/91
Calculate prob of picking 4 b when four letters picked without replacement from {w: 11, b: 6, a: 1}.
1/204
What is prob of picking 2 o when two letters picked without replacement from oppo?
1/6
Three letters picked without replacement from {r: 2, b: 1, n: 1, u: 5, z: 1}. What is prob of picking 1 n and 2 r?
1/120
Two letters picked without replacement from vyvcyyvycy. Give prob of picking 2 y.
2/9
Four letters picked without replacement from {b: 7, q: 6}. What is prob of picking 1 q and 3 b?
42/143
What is prob of picking 2 p when two letters picked without replacement from {p: 9, g: 5}?
36/91
Two letters picked without replacement from xmmxmmxkma. Give prob of picking 1 a and 1 m.
1/9
Calculate prob of picking 4 u when four letters picked without replacement from {b: 4, o: 4, u: 3, h: 7}.
0
What is prob of picking 1 a and 1 h when two letters picked without replacement from {t: 2, a: 4, h: 6}?
4/11
What is prob of picking 2 w, 1 m, and 1 b when four letters picked without replacement from {m: 4, w: 2, b: 4, l: 2}?
16/495
Two letters picked without replacement from {g: 1, y: 17}. What is prob of picking 2 y?
8/9
Two letters picked without replacement from tbpzhbpppzbptbhpz. Give prob of picking 1 p and 1 h.
3/34
Four letters picked without replacement from {f: 2, q: 3, n: 4}. Give prob of picking 1 n and 3 q.
2/63
Four letters picked without replacement from {i: 1, e: 2, j: 3, v: 6, k: 1, a: 2}. What is prob of picking 1 a, 1 j, 1 e, and 1 v?
24/455
Two letters picked without replacement from mmrmaammmmaamr. What is prob of picking 2 a?
6/91
Two letters picked without replacement from {k: 6, i: 2}. Give prob of picking 2 i.
1/28
Two letters picked without replacement from {t: 1, z: 9, s: 1, q: 4, h: 3}. What is prob of picking 1 q and 1 s?
4/153
Two letters picked without replacement from oooooooooooooooooq. Give prob of picking 2 q.
0
What is prob of picking 2 e when two letters picked without replacement from eeexeeeeeeeeeeeeee?
8/9
Calculate prob of picking 2 t and 2 m when four letters picked without replacement from {t: 6, h: 9, m: 4}.
15/646
Four letters picked without replacement from zgpzdzpdzzgzzzdzzp. Give prob of picking 2 d and 2 p.
1/340
What is prob of picking 2 h and 1 f when three letters picked without replacement from thxmhhthhumfhhh?
4/65
Calculate prob of picking 2 o when two letters picked without replacement from {d: 5, o: 5}.
2/9
What is prob of picking 3 x when three letters picked without replacement from {i: 2, x: 18}?
68/95
Two letters picked without replacement from {k: 5, w: 3}. What is prob of picking 1 w and 1 k?
15/28
Two letters picked without replacement from gvmvvhvthtvvht. Give prob of picking 2 t.
3/91
Calculate prob of picking 1 d, 2 u, and 1 b when four letters picked without replacement from {b: 4, u: 5, k: 1, d: 1}.
4/33
Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {t: 2, d: 2, k: 9}.
36/143
What is prob of picking 2 b, 1 x, and 1 q when four letters picked without replacement from qttbbx?
1/15
What is prob of picking 2 u and 1 p when three letters picked without replacement from uupupuuuuuppuupu?
55/112
What is prob of picking 1 x, 1 q, and 1 r when three letters picked without replacement from {x: 1, r: 2, q: 4, e: 3, m: 1}?
8/165
What is prob of picking 1 m and 1 l when two letters picked without replacement from {q: 6, v: 2, t: 1, n: 2, l: 1, m: 5}?
5/136
Four letters picked without replacement from {a: 4, j: 5, w: 4, v: 5, e: 1}. Give prob of picking 2 e and 2 a.
0
Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {k: 1, t: 1, w: 1, z: 1, y: 2, g: 1}.
1/21
Three letters picked without replacement from mmsmmsvdmmms. What is prob of picking 1 m and 2 s?
21/220
Four letters picked without replacement from sssssfffsfffsssf. Give prob of picking 1 s and 3 f.
9/52
Two letters picked without replacement from {t: 2, h: 1, v: 1, b: 7, m: 5}. Give prob of picking 1 h and 1 v.
1/120
Four letters picked without replacement from iiiiijccicciii. What is prob of picking 2 i, 1 j, and 1 c?
144/1001
What is prob of picking 2 b and 2 w when four letters picked without replacement from {s: 2, b: 7, w: 3}?
7/55
Four letters picked without replacement from fvdvdnnndbmd. Give prob of picking 3 n and 1 f.
1/495
Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {r: 4, t: 5, o: 1, e: 6}.
1/6
Two letters picked without replacement from ssspbjsfjejspjj. What is prob of picking 1 j and 1 s?
5/21
Two letters picked without replacement from ivg. What is prob of picking 1 v and 1 g?
1/3
Three letters picked without replacement from {d: 1, k: 7, w: 1}. What is prob of picking 3 k?
5/12
Two letters picked without replacement from {m: 2, n: 6}. Give prob of picking 2 m.
1/28
Four letters picked without replacement from {h: 6, n: 6}. What is prob of picking 4 n?
1/33
Two letters picked without replacement from bbnllebkkblllblbk. What is prob of picking 1 n and 1 b?
3/68
What is prob of picking 2 q and 1 f when three letters picked without replacement from fqqffffqlfqffqqfqqq?
108/323
What is prob of picking 1 h and 1 i when two letters picked without replacement from hhqqqqiqqhbihi?
12/91
What is prob of picking 1 s and 1 d when two letters picked without replacement from {r: 2, d: 1, s: 3, z: 3, u: 1}?
1/15
Three letters picked without replacement from srjcrsmcy. What is prob of picking 1 j and 2 r?
1/84
Two letters picked without replacement from {g: 1, t: 7}. What is prob of picking 2 t?
3/4
Two letters picked without replacement from {y: 3, k: 1, j: 3, h: 4}. What is prob of picking 1 h and 1 j?
12/55
Four letters picked without replacement from {e: 4, j: 6}. Give prob of picking 4 j.
1/14
Four letters picked without replacement from {b: 4, g: 5, q: 1, p: 3, k: 1, n: 1}. What is prob of picking 1 q | {
"pile_set_name": "DM Mathematics"
} |
6 - (-40)/6). Let p be 1*((-1)/x)/(28/48). Which is the second smallest value? (a) p (b) o (c) -4
c
Let v = -3.94 + -0.06. Let o = 4 - 6. Let n = 71.6 + -76.6. Which is the third biggest value? (a) n (b) o (c) 0 (d) v
d
Let n be (-1397)/66 - -14 - (-7 - -1 - 1). What is the second smallest value in -2/79, n, 5/2, 4, -3/7?
n
Let b be (62/(-6))/(-1 - 0). Let j be 104 + -95 + 201/(-18) + 2. What is the fourth biggest value in -5, 1/3, b, j?
-5
Suppose -10*f - 902 = 1588. Let u = -249 - f. What is the smallest value in u, 2/5, 8/5?
u
Suppose 131*f + 135 = 240*f - 136*f. Let g = 832/2863 - 2/409. Which is the third biggest value? (a) 4 (b) -2/15 (c) g (d) f
b
Let f = 5.7 + -6. Let k = 6.475 - 4.38. Let d = k + -0.095. Which is the smallest value? (a) f (b) 14 (c) d
a
Let m = -0.178 - -0.178. Let q = -34 - m. Which is the smallest value? (a) 2/7 (b) -3 (c) q
c
Let u be ((-12)/75)/(6/5). Let w = 16077 - 16076.6. What is the smallest value in -23, w, u?
-23
Let m = 1003.448 - 1000. Let f = -0.448 + m. Which is the biggest value? (a) -1/63 (b) -0.4 (c) f
c
Let w = -2401.95 + 2402. What is the biggest value in -9/8, 1, 0.5, 5, w?
5
Suppose -56 = 22*x - 9*x - 4. Which is the third smallest value? (a) -14/13 (b) 0.1 (c) -0.2 (d) x
c
Let t = -185/917 + -11/131. What is the biggest value in -1/5, -16, 6, t?
6
Let c = 0.3 + 0.1. Let d = -76 - -110. Suppose 0 = 4*f + d - 26. What is the smallest value in c, 34, f?
f
Suppose -n + 4*h - 1 = 3, -4 = n + 5*h. Let g = -753 + 528. Let a be 1*n - g/54. What is the third smallest value in -20, 5, a?
5
Let p = 2309.03 - 2312.9. What is the third smallest value in 0.1, p, 1/15?
0.1
Let i be (-1)/3 + 0 + 0. Let f = -189 - -169. Let p be (f/8)/(7/(-14)). What is the biggest value in p, 0.02, i?
p
Let n = -1800 + 1800. Let u = -41 + 20. Let h = u - -43. What is the biggest value in n, 0.1, h, -3/7?
h
Let r = -15067 - -15077. Which is the second smallest value? (a) 125/6 (b) -2 (c) r
c
Let d = 19899 - 198987/10. What is the third biggest value in d, -254, 4, -1?
-1
Let g = 102 - 212. Let t = g - -109.9. Let n = -5.07 + 0.07. What is the second biggest value in t, n, -4, 4?
t
Let k = 1.3 + 3.7. Suppose 45*o + 114 = -21. What is the smallest value in o, 1, k, -4?
-4
Let n = -0.94313 + -0.05687. What is the second biggest value in 2/5, 0.5, n, 1, 29.6?
1
Suppose 5*u - 1 = 2*m, -4*m = 2*u + u + 15. Let o = -27.69 - -9.6. Let p = -18 - o. Which is the second biggest value? (a) p (b) -4 (c) m
c
Let h be (-82)/56 - (-2)/(-7). Let g = -127 + 124.07. Let y = 2.83 + g. Which is the second smallest value? (a) 0.2 (b) y (c) h
b
Let t = -274.8 + 256.8. Which is the second smallest value? (a) 2/73 (b) -2/7 (c) t
b
Let n = 0 - 0.4. Let j = 10435/14 - 5207/7. Let l = -14 + 15. Which is the fourth biggest value? (a) j (b) n (c) l (d) 5
b
Let i = 13.6 - 14.61. Let j = i - -1.11. Which is the third biggest value? (a) j (b) -3 (c) 4
b
Let v = -2.878 - -3.278. What is the third smallest value in 291, v, -0.2?
291
Let g = -230 - -229.241. Let q = -0.559 - g. What is the third smallest value in -1, -5, q?
q
Let g = 118.872 + 0.128. Let s = -113 + g. Which is the second biggest value? (a) s (b) -2 (c) 0.2
c
Let i = -201 + 204. Suppose -4*t + 3 = 3*f - 4, i*t - 6 = -2*f. What is the second biggest value in t, 0.4, 1/23?
0.4
Let y be (-72655)/253484*(-5)/(30/(-8)). Let q = y + 1/823. What is the smallest value in -3/5, q, -0.3, -2?
-2
Let h = 86 + -68. Let w be 774/(-60)*(-4)/h - 3. What is the smallest value in 0.1, -2/7, w?
-2/7
Let t = 8095 - 8169. What is the third biggest value in 4, t, 0.1?
t
Let t = 3.89 + 0.11. Let x be (-8)/(-40)*10/(-4). Let o = -4828/15 + 322. What is the second smallest value in t, x, o, 0.5?
o
Let o = -0.3981 - 0.0619. Let g = -0.26 - o. What is the third smallest value in 2, g, 49?
49
Let q = 16.07 - 13.07. Let w = 1 + -2. Which is the third smallest value? (a) q (b) w (c) -0.04 (d) 2
d
Let f = 0.27765 + -4.27765. What is the second biggest value in -17, f, -2/5, 0.45?
-2/5
Let z be (672/18)/(-8) + 1 - -3. Let y = -0.1 + 0.5. Which is the third smallest value? (a) z (b) y (c) 6/23 (d) 1/4
c
Let d = -5.4 - -0.4. Let n = -47.945 + -0.055. Let t = 48.02 + n. Which is the third biggest value? (a) 1/9 (b) d (c) t
b
Let m be -2 + (-105)/(-33) + -1. Let w be (210 - (1 - 15/5))*1. Let s = -421/2 + w. Which is the second smallest value? (a) s (b) 0 (c) m
c
Let p = -100764271/1435 - -70219. Which is the third smallest value? (a) p (b) 1/4 (c) 2
c
Let x = 31 + -32. Let q be -3*(14/(-3))/x. Let y be 3/q*16/12. Which is the second smallest value? (a) 0.2 (b) y (c) -1
b
Let o = -44.083 + 44. Let g = 649.217 - 649. Let p = o - g. Which is the biggest value? (a) -5 (b) -0.5 (c) p
c
Let m = 5.01 + -1.01. Let b = -5 + m. Let y = 1.1 - 0.1. What is the smallest value in 5, y, 4/3, b?
b
Let h = -2 + 4. Let i = -341 + 461. Let s = i - 120.3. Which is the second biggest value? (a) -0.2 (b) h (c) s
a
Let t = 345.589 + 0.411. Let k = 352 - t. What is the biggest value in 1/13, -0.2, k?
k
Let h(g) = -g**3 + 21*g**2 + 394*g + 67. Let n be h(33). Which is the third biggest value? (a) -1 (b) n (c) -0.0417
a
Let n = 12 + -7. Suppose 0*v + 2*u = -n*v + 4, -13 = v + 5*u. Let d be ((-4)/(-42))/(v/(-6)). Which is the third smallest value? (a) -1/8 (b) 0.2 (c) d
b
Let f = 1127 - 1128. Let m = 36783 + -6289846/171. Let s = -1/19 + m. Which is the fourth biggest value? (a) -4 (b) f (c) s (d) -3
a
Let r = -6.686 + 3.086. Which is the fourth biggest value? (a) -2/21 (b) -6/11 (c) r (d) -2
c
Let i = -24 + 25. Let u be i*55/10 - 2/4. Let o = 1206/7 + -172. What is the fourth biggest value in 3, u, o, -3/7?
-3/7
Let w be (-4)/16 + (-195)/(-300) - (-72)/(-130). What is the biggest value in 0.1, w, -541?
0.1
Let d(m) = m**3 - 5*m**2 + 15*m + 1. Let p be d(0). Which is the second smallest value? (a) p (b) -3/5 (c) -8/23
c
Let q be 36704/(-295260) - (-2)/4*4/19. What is the biggest value in 1/9, 4, q?
4
Let s be (-2)/14 + (429/(-364))/11. Suppose 5*o + 0*v - 677 = 4*v, -5*v - 127 = -o. What is the smallest value in -0.4, o, s?
-0.4
Let i = -829483/15 + 55299. Let k = 2 + -1. What is the third biggest value in i, k, 3/7, -5?
i
Let g = -1.0146 - -4.0146. Which is the third biggest value? (a) 1041 (b) -0.3 (c) g (d) -5
b
Suppose -259*f + 138 = -235*f + 18. What is the fourth smallest value in -4/7, 18, f, 4?
18
Let l = -4011/2666 + 6/1333. Which is the third smallest value? (a) -4 (b) 2/25 (c) l
b
Let l(m) = -79*m + 96. Let f be l(8). Which is the second smallest value? (a) f (b) 4 (c) -5 (d) 1/3
c
Let f be (8295/316)/35*-1*4/1. Let w be 2/(-6) + 12/63. What is the third biggest value in -15, f, 5/4, w?
f
Let o(x) = -x + 2. Let d be o(-3). What is the smallest value in -18.8, 0.2, d?
-18.8
Let m be ((-1)/(-6))/(-1 - 1). Let o = 0.38895 - -4.61105. What is the fourth smallest value in -2, 2/5, m, o?
o
Let b = -458.0808 + 0.0808. Let u = -461 - b. What is the second smallest value in u, 5, -5/2, 20?
-5/2
Let k = 671699/74 - 9077. What is the smallest value in k, 5, -4/3?
-4/3
Let h = -0.16 + 0.22. Let y = -1.94 - h. Let n = 0.101 + -0.101. What is the biggest value in n, -2/65, y?
n
Let y = -59612 - -59613. Let d = -0.9 - 0.1. What is the third biggest value in y, -0.1, d?
d
Let v = -301630 + 301378. Let r be 2/(-6) - (-4)/21. Which is the second smallest value? (a) v (b) -4/3 (c) r
b
Let o be (-40)/25*(-34)/(-408). What is the third biggest value in -7, 27, 1/2, o?
o
Let z be (8 - (18 + -9))*30/(-18). Let g = -4.5 - -6.8. Let j = 2.68 - g. Which is the second smallest value? (a) 2/15 (b) z (c) j
c
Let c = 3482 + -3477. Suppose -2 + 22 = -2*a. Let u be (6/a)/(21/15). What is the fourth smallest value in c, -4/3, u, -0.9?
c
Let l be 8/(-20) + 362/30 + -11. Let a(s) = -s**2 - 7*s - 4. Let y be a(-6). What is the third biggest value in -238, l, y?
-238
Let m = 31553/350 - 1261/14. What is the smallest value in 2/9, -5, m, 3?
-5
Let d = 1123/2464 + -75/154. Which is the second biggest value? (a) d (b) -1/3 (c) 23
a
Let n = -48.563 + -0.437. Let z = -0.042 - -3.042. Which is the second biggest value? (a) 2/15 (b) z (c) n
a
Let j = 167 - 166. Let t(s) = s**2 | {
"pile_set_name": "DM Mathematics"
} |
is the highest common divisor of 1602 and h?
18
Let k be 1/(-4) - (-1325)/20. Suppose -w - 3*y = -k, 0 = -w + 6*y - y + 82. Calculate the highest common factor of 18 and w.
18
Let r be ((-354)/24 + 13)/(1/(-176)). What is the highest common divisor of r and 539?
77
Suppose -2*b = -6*b + 704. What is the greatest common factor of b and 112?
16
Let y be 4*-1*(-12)/16. Suppose 5*b - 5*n - 25 = 0, y*n = -5 + 2. Calculate the greatest common factor of b and 44.
4
Suppose 0 = 4*d + 96 - 360. Let m(q) = -90*q**3 - q**2 + 6*q + 5. Let r be m(-1). What is the highest common factor of r and d?
22
Let c(j) = -4*j + 14. Let p be c(-8). Let k = -44 + p. What is the highest common divisor of k and 34?
2
Suppose 11*p = 3*p. Let s be 4 - 1 - (p - (189 - -4)). Calculate the highest common factor of s and 28.
28
Let r be (11/(-33))/((-1)/51). Calculate the highest common divisor of 17 and r.
17
Let s be (264/(-9))/11*(-675)/10. Calculate the highest common divisor of s and 20.
20
Let k be 21*(20/(-12) + 2). Let f(m) = -m**3 + 9*m**2 - 10*m + 2. Let z be f(k). Calculate the greatest common divisor of 210 and z.
30
Let f(m) = m + 10. Let t be f(-4). Let r be -4 - (-2 - t) - 3. Suppose -3 = -4*d + r, y - 3*d - 13 = 0. What is the greatest common divisor of 80 and y?
16
Suppose -b - t - 5 = 2*b, -b - 5 = t. Suppose b = 4*i - f - 32, -4*f - f = 3*i - 24. Let a be 90 + 2*(2 + -3). Calculate the greatest common factor of i and a.
8
Let u be 3/21 - 160/(-7). Suppose 20 = -5*o + 6*v - v, -4*v = 3*o - u. Let i be (-7 - 0/1)*-1. What is the highest common factor of o and i?
1
Suppose 3*p - 51 + 24 = 0. Let i be 52/234 - (-673)/p. Suppose 0 = -3*y + 5*j + 85, 0 = 2*y - 4*y - 5*j + 65. Calculate the highest common factor of i and y.
15
Let z be 3/(-6) - (-435)/(-6). Let j = z - -75. Let g = 1 - -2. Calculate the highest common factor of j and g.
1
Let s(b) = -b**3 - b**2 + 2*b + 2. Let v = -12 - -9. Let o be s(v). Suppose 0 = -0*g + g - o. What is the highest common factor of g and 28?
14
Let a be (380/57)/((-1)/3)*51/(-34). Let m be 0 + -1 + 0 + 11. What is the greatest common divisor of a and m?
10
Suppose 2*g - 366 = -4*f - f, f + 4 = 0. Suppose -2*t = -g + 39. Calculate the greatest common divisor of 11 and t.
11
Suppose o + 4*o - 60 = 0. Suppose -5*a = -4*v + 119, -4*a - 4*v - 88 = -0*v. Let k = 61 - a. Calculate the greatest common factor of o and k.
12
Let b(r) = 6*r**2 - r + 2. Let f be b(2). Let u be (27/6 - 5 - (-446)/28)*14. Calculate the highest common divisor of u and f.
24
Let d(x) = -2*x**2 + 10*x + 11. Let y be d(8). Let a = 60 + y. Calculate the greatest common divisor of 230 and a.
23
Let n = -37 - -65. Let m be 9/((-54)/n)*-33. Suppose -2*f + 5*k = -13, -47 = -3*f - f + 3*k. What is the highest common divisor of f and m?
14
Suppose a - 2*i = -a - 6, -26 = -3*a - 4*i. Let t(q) = 6*q**3 + 2*q - 2. Let r be t(a). Calculate the greatest common divisor of r and 5.
5
Suppose -5*s = 4*h + 38, -4*s = -3*h + 4*h + 4. Let f be 76/h - (-1)/3. Let l be f*(-4)/(-8) - -17. What is the highest common factor of l and 28?
14
Suppose y + 1408 + 1542 = 0. Let p be 4/18 - (y/(-9))/(-10). What is the greatest common divisor of 264 and p?
33
Let b = -87 - -92. Suppose b*u - 30 = 4*u. What is the greatest common divisor of u and 150?
30
Let t = 316 - 216. Suppose 7*v + 14 = 84. What is the greatest common divisor of t and v?
10
Let p be 1512/24 - (-2)/1. Let u = p - 55. Let f(r) = 3*r - 2. Let j be f(2). Calculate the greatest common divisor of u and j.
2
Suppose 2*f - 30 = -5*d, -3*f - 5*d + 13 = -22. Suppose -f*b = 5, -p = 5*b + 1 - 0. Suppose -p*g = -24 - 20. What is the greatest common divisor of 1 and g?
1
Let k be (0/1 - 0)/3. Let b(v) = -v**2 + 2*v + 1. Let w be b(k). What is the greatest common divisor of 8 and w?
1
Suppose 0*h + 10 = 2*h. Suppose h*a + a = 30. Let c be (-1358)/(-10) + 1/a. Calculate the greatest common factor of 17 and c.
17
Let l be (-1105)/(-10) - 2/4. Suppose -v + 15 = -s + 25, 5*v = s - 10. Calculate the highest common divisor of s and l.
10
Let c(v) = v**3 - 5*v**2 + 2*v. Let x be c(5). Suppose 0*o - 2 = -o. Let p be (4/o)/(3 + 236/(-80)). What is the highest common factor of p and x?
10
Suppose 5214 = 118*p + 494. Let b = 197 - 137. Calculate the greatest common factor of b and p.
20
Let j be 0/(-3) + 2*-13*3. Let p = -56 - j. Let a = -28 - -39. Calculate the greatest common factor of p and a.
11
Suppose 73 = 6*w + 217. Let t be ((-2)/3)/(2/w). Let g(b) = -b**3 + 8*b**2 + 4*b - 8. Let a be g(t). What is the highest common divisor of a and 60?
12
Let x = -1516 + 1547. Suppose m = v - 92, 3*v = -0*v - 3*m + 282. Calculate the greatest common divisor of v and x.
31
Let s be 52/20 + ((-6)/(-5))/3. Suppose -5*t = s - 203. Let v(m) = 20*m. Let a be v(5). Calculate the greatest common divisor of t and a.
20
Suppose -2*m = -14 - 6. Suppose 80 = -4*q - z, -3*q - 4*z = -m + 57. Let x = q - -27. Calculate the highest common divisor of 66 and x.
6
Suppose -35*p = -38*p + 162. Suppose p = t - 1. What is the greatest common factor of 22 and t?
11
Let s(f) = 3*f + 3. Suppose -5*x = -5 - 10. Let k be s(x). What is the greatest common divisor of k and 84?
12
Suppose 9*j - 12*j + 120 = 0. Let k be j + 0 + (-3)/3. What is the highest common divisor of 3 and k?
3
Let x(c) = -c**3 + 12*c**2 - 4*c + 16. Let z be x(12). Let t be (-8)/28 + z/(-14). Suppose t*y - 143 = 123. What is the highest common factor of y and 19?
19
Let n = 648 - 160. What is the greatest common divisor of n and 8?
8
Let q(v) = -30*v - 267. Let w be q(-9). What is the greatest common divisor of w and 6?
3
Let l(q) = -32*q - 40. Let f be l(-20). What is the highest common factor of 5 and f?
5
Suppose -v - 2*v = -36. Let c be (-58)/(-10) + 7/35. Let k be 280/15 + (-4)/c. Calculate the greatest common divisor of v and k.
6
Suppose -724 + 224 = 2*p. Let m = -241 - p. Let c be (-2 - -100) + 0 + 1. Calculate the highest common factor of m and c.
9
Let u(o) = -7*o - 1. Let y be 1*(-1 + -3) - -3. Let n be u(y). Let a be ((-6)/(-9))/(n/459). Calculate the greatest common factor of 17 and a.
17
Suppose -1295 - 6889 = -11*c. What is the highest common divisor of c and 16?
8
Let r = 888 - 861. Calculate the highest common divisor of r and 36.
9
Let i(u) = 0 - 5*u**2 + 2 - 6 - 7*u + u**3 - 2. Let m be i(8). Suppose 0 = 5*t - 10, 0 = 5*j - t - m - 8. What is the greatest common divisor of j and 7?
7
Let n = -7 + 11. Suppose 6*h = 3*h - n*g + 29, -g + 37 = 5*h. Suppose -2*c + h*c = 70. What is the greatest common divisor of c and 14?
14
Let q be (5 - 3)*(13 - -7). What is the highest common factor of 60 and q?
20
Let o = -52 - -54. Suppose -o*r + 14 = 8. What is the greatest common factor of r and 24?
3
Let g be 5*(-14)/(-2) + 0. Let m(t) = -t**2 - 15*t + 385. Let z be m(0). What is the greatest common factor of z and g?
35
Suppose 38*w = -73 + 263. Calculate the highest common divisor of w and 40.
5
Let h = 102 + -77. Let p = -5 + h. Calculate the highest common factor of p and 50.
10
Let s(x) = 5*x**3 + 2*x. Let k be s(-2). Let m = 121 - 256. Let p = k - m. Calculate the highest common factor of p and 13.
13
Let x be (-1)/4 + (-9)/(-4). Suppose 3*d - 15 = -3*l, -2*l + 2*d = 1 - 11. What is the greatest common divisor of l and x?
1
Suppose -4*l + 4*y + 84 = 0, 3*l + 2*y - 41 = 42. What is the highest common factor of l and 825?
25
Suppose 0 = -4*o + 267 - 11. Let k = 25 + -17. What is the highest common divisor of k and o?
8
Suppose 5*m = -2*s - 32, -2 = -4*s - 3*m - 38. Let a be s/8 - ((-508)/16)/1. What is the highest common factor of 31 and a?
31
Let a = -8 + 10. Suppose -5*s + i = a*i - 1, -2*i = 8. What is the highest common factor of s and 4?
1
Let c = 477 - 313. Suppose -4*b - 101 - 59 = -3*n, -2*b = -3*n + c. Calculate the greatest common factor of 42 and n.
14
Let q = 794 - 738. Calculate the greatest common factor of q and 392.
56
Let j(x) = -x**3 - 2*x**2 - 12. Suppose 0*k + 3*k = -2*p - 20, -2 = 2*p. Let w be j(k). Let s be 4*3 - 0/(-2). What is the greatest common divisor of s and w?
12
Suppose 6241 = 17*w + 750. What is the highest common divisor of 17 and w?
17
Let k be (-1)/(-3) + (-25)/(-15). Suppose -4 = k*v - 28. Let i(a) = a**2 + 6*a + 8. Let t be i(-5). Calculate the highest common fa | {
"pile_set_name": "DM Mathematics"
} |
s picked without replacement from hhhhh. What is prob of picking 3 h?
1
Four letters picked without replacement from {m: 17, y: 1}. Give prob of picking 1 y and 3 m.
2/9
Three letters picked without replacement from {u: 1, q: 5, y: 2, n: 1}. What is prob of picking 2 y and 1 u?
1/84
Three letters picked without replacement from hhhmhmh. Give prob of picking 2 h and 1 m.
4/7
Two letters picked without replacement from iiiiikik. Give prob of picking 2 i.
15/28
Calculate prob of picking 1 n, 1 b, and 1 o when three letters picked without replacement from nbbnbnjmbcnonjjbb.
3/68
Four letters picked without replacement from mppmppmmmmmmmddm. What is prob of picking 3 p and 1 d?
2/455
Three letters picked without replacement from {r: 2, y: 7, w: 4}. Give prob of picking 3 y.
35/286
Three letters picked without replacement from rrrrrmrrrrmfrmr. What is prob of picking 3 r?
33/91
What is prob of picking 1 c, 1 d, and 1 z when three letters picked without replacement from dckkkcddecczdckc?
3/70
Two letters picked without replacement from hddahqhqahuuqqhudqhh. What is prob of picking 1 h and 1 a?
7/95
Four letters picked without replacement from ggppgppgpg. Give prob of picking 1 g and 3 p.
5/21
What is prob of picking 1 x and 1 e when two letters picked without replacement from {e: 1, i: 2, d: 6, x: 1, p: 2}?
1/66
What is prob of picking 1 y, 2 p, and 1 b when four letters picked without replacement from yyypbypyb?
5/63
Three letters picked without replacement from bbbbmfbbbbfbbbppplp. Give prob of picking 3 b.
55/323
What is prob of picking 1 i and 1 w when two letters picked without replacement from nwzswizwzniwwpw?
4/35
Four letters picked without replacement from {o: 2, f: 5, j: 3, g: 2}. What is prob of picking 2 g and 2 j?
1/165
What is prob of picking 2 t and 1 e when three letters picked without replacement from tttetttetttt?
9/22
What is prob of picking 3 x when three letters picked without replacement from {m: 10, x: 4}?
1/91
Calculate prob of picking 1 j and 1 f when two letters picked without replacement from fjccgzjgjjc.
4/55
Two letters picked without replacement from ubuuubbbuubudubbuu. Give prob of picking 1 b and 1 u.
70/153
Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {q: 1, m: 2, b: 2, x: 1, e: 5, f: 2}.
1/39
Two letters picked without replacement from {r: 5, x: 3, t: 4, m: 1}. What is prob of picking 1 t and 1 m?
2/39
What is prob of picking 2 p when two letters picked without replacement from {z: 2, o: 4, p: 2}?
1/28
Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {q: 5, h: 1, f: 3, r: 5, z: 1, y: 5}.
1/38
What is prob of picking 3 v and 1 u when four letters picked without replacement from dvluvlduvuudvvldv?
4/119
Calculate prob of picking 1 w, 1 q, and 1 k when three letters picked without replacement from {w: 1, q: 1, k: 2}.
1/2
Three letters picked without replacement from {e: 1, y: 1, q: 1, s: 2, b: 1, r: 1}. Give prob of picking 1 s, 1 e, and 1 r.
2/35
Two letters picked without replacement from {b: 8, w: 2, p: 9}. Give prob of picking 2 b.
28/171
Three letters picked without replacement from {a: 4, s: 2}. What is prob of picking 1 a and 2 s?
1/5
Three letters picked without replacement from vvfffffffvcffff. Give prob of picking 1 v and 2 f.
33/91
Two letters picked without replacement from cccbffcbbffffffccc. Give prob of picking 1 c and 1 f.
56/153
What is prob of picking 1 x and 1 w when two letters picked without replacement from wxc?
1/3
What is prob of picking 4 w when four letters picked without replacement from {x: 7, w: 9}?
9/130
Three letters picked without replacement from {l: 1, s: 8, p: 6}. Give prob of picking 1 s, 1 p, and 1 l.
48/455
What is prob of picking 4 l when four letters picked without replacement from {l: 4, m: 8, n: 4}?
1/1820
Two letters picked without replacement from {t: 1, c: 12, z: 5}. Give prob of picking 1 z and 1 t.
5/153
Three letters picked without replacement from {z: 4, v: 1, g: 2, a: 2, n: 2, f: 9}. What is prob of picking 3 f?
7/95
What is prob of picking 2 o when two letters picked without replacement from {j: 4, s: 1, o: 2, c: 2, m: 3}?
1/66
Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {t: 2, y: 2, w: 5}.
1/9
Calculate prob of picking 1 h, 1 j, and 1 b when three letters picked without replacement from {w: 2, b: 5, c: 1, h: 3, j: 1}.
3/44
Calculate prob of picking 3 n when three letters picked without replacement from {n: 5}.
1
Three letters picked without replacement from {g: 1, x: 11}. What is prob of picking 1 g and 2 x?
1/4
What is prob of picking 1 a, 1 m, and 1 d when three letters picked without replacement from {k: 2, m: 2, d: 8, a: 5, i: 3}?
4/57
What is prob of picking 2 h and 1 x when three letters picked without replacement from {j: 2, h: 2, x: 4, k: 11}?
4/969
What is prob of picking 3 b and 1 i when four letters picked without replacement from {x: 3, b: 5, i: 3, u: 2, l: 2}?
2/91
Two letters picked without replacement from {p: 1, o: 3}. What is prob of picking 1 p and 1 o?
1/2
Two letters picked without replacement from {c: 4, k: 7}. What is prob of picking 1 c and 1 k?
28/55
What is prob of picking 1 n, 1 f, and 1 v when three letters picked without replacement from vnfrwfrwdnrn?
3/110
Calculate prob of picking 1 d and 2 s when three letters picked without replacement from xddlxsddslxld.
5/286
Three letters picked without replacement from ssststs. What is prob of picking 1 s and 2 t?
1/7
Two letters picked without replacement from cchchhchhcccc. Give prob of picking 1 c and 1 h.
20/39
Calculate prob of picking 1 i, 1 n, and 1 v when three letters picked without replacement from vnynnnlnninnilnlnnn.
8/323
Four letters picked without replacement from {y: 5, a: 11}. Give prob of picking 3 y and 1 a.
11/182
Three letters picked without replacement from uuubbuuuuuububuuuubu. Give prob of picking 2 u and 1 b.
35/76
Calculate prob of picking 1 y, 1 i, and 1 m when three letters picked without replacement from kimykpsm.
1/28
Two letters picked without replacement from kucrx. What is prob of picking 1 r and 1 u?
1/10
What is prob of picking 2 a and 2 h when four letters picked without replacement from {j: 5, h: 4, a: 3}?
2/55
Four letters picked without replacement from {l: 4, q: 2, o: 2, k: 4, x: 1, a: 1}. Give prob of picking 1 o, 2 q, and 1 x.
2/1001
Four letters picked without replacement from {p: 1, r: 1, c: 1, s: 2, t: 1, l: 1}. Give prob of picking 1 s, 1 p, 1 l, and 1 c.
2/35
Two letters picked without replacement from aahaahaaa. What is prob of picking 2 a?
7/12
What is prob of picking 2 y and 2 v when four letters picked without replacement from zyvctzzz?
0
Two letters picked without replacement from wmnwniiisisn. Give prob of picking 1 m and 1 i.
2/33
Four letters picked without replacement from {g: 10, q: 4, p: 2, h: 3}. What is prob of picking 4 g?
35/646
Two letters picked without replacement from pppppppppp. Give prob of picking 2 p.
1
What is prob of picking 3 p when three letters picked without replacement from {k: 7, d: 9, p: 3}?
1/969
Two letters picked without replacement from ooooooooowww. Give prob of picking 2 o.
6/11
Three letters picked without replacement from oxcxooooxxxxxxxxo. What is prob of picking 2 o and 1 x?
15/68
Calculate prob of picking 1 i, 1 l, and 1 n when three letters picked without replacement from {i: 2, l: 2, n: 2, b: 1, p: 1, q: 1}.
2/21
What is prob of picking 3 q and 1 z when four letters picked without replacement from {z: 1, q: 7}?
1/2
What is prob of picking 2 e when two letters picked without replacement from jjjjkjkeq?
0
What is prob of picking 1 p and 1 k when two letters picked without replacement from {d: 2, w: 2, k: 4, p: 3}?
12/55
Two letters picked without replacement from {g: 3, k: 5}. Give prob of picking 1 g and 1 k.
15/28
Calculate prob of picking 1 e and 1 x when two letters picked without replacement from fexf.
1/6
Calculate prob of picking 2 j and 1 b when three letters picked without replacement from {u: 1, c: 1, j: 5, b: 7}.
5/26
Two letters picked without replacement from ttttttttt. What is prob of picking 2 t?
1
Calculate prob of picking 1 b, 1 s, and 2 a when four letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
2428.
2, 607
List the prime factors of 2052.
2, 3, 19
List the prime factors of 18202.
2, 19, 479
What are the prime factors of 1240?
2, 5, 31
List the prime factors of 2427.
3, 809
What are the prime factors of 174?
2, 3, 29
List the prime factors of 3736.
2, 467
What are the prime factors of 2553?
3, 23, 37
What are the prime factors of 3444?
2, 3, 7, 41
What are the prime factors of 2570?
2, 5, 257
List the prime factors of 1840.
2, 5, 23
List the prime factors of 277.
277
What are the prime factors of 4647?
3, 1549
What are the prime factors of 1953?
3, 7, 31
What are the prime factors of 1264?
2, 79
What are the prime factors of 7052?
2, 41, 43
List the prime factors of 7244.
2, 1811
List the prime factors of 6255.
3, 5, 139
What are the prime factors of 5126?
2, 11, 233
List the prime factors of 1179.
3, 131
What are the prime factors of 389?
389
List the prime factors of 10651.
10651
What are the prime factors of 10493?
7, 1499
What are the prime factors of 220?
2, 5, 11
List the prime factors of 124437.
3, 41479
What are the prime factors of 1840?
2, 5, 23
What are the prime factors of 1852?
2, 463
List the prime factors of 60.
2, 3, 5
List the prime factors of 5112.
2, 3, 71
List the prime factors of 7462.
2, 7, 13, 41
List the prime factors of 42614.
2, 11, 13, 149
List the prime factors of 28852.
2, 7213
List the prime factors of 5799.
3, 1933
List the prime factors of 54345.
3, 5, 3623
What are the prime factors of 3512?
2, 439
What are the prime factors of 252?
2, 3, 7
List the prime factors of 2366.
2, 7, 13
What are the prime factors of 14148?
2, 3, 131
List the prime factors of 6493.
43, 151
What are the prime factors of 23080?
2, 5, 577
What are the prime factors of 35804?
2, 8951
What are the prime factors of 1073?
29, 37
List the prime factors of 760.
2, 5, 19
What are the prime factors of 58323?
3, 19441
List the prime factors of 55076.
2, 7, 281
What are the prime factors of 2392?
2, 13, 23
List the prime factors of 4934.
2, 2467
What are the prime factors of 10592?
2, 331
What are the prime factors of 57?
3, 19
List the prime factors of 3120.
2, 3, 5, 13
What are the prime factors of 120252?
2, 3, 11, 911
List the prime factors of 3114.
2, 3, 173
What are the prime factors of 12682?
2, 17, 373
What are the prime factors of 3769?
3769
List the prime factors of 521.
521
What are the prime factors of 126257?
126257
What are the prime factors of 4587?
3, 11, 139
What are the prime factors of 26?
2, 13
List the prime factors of 95493.
3, 139, 229
List the prime factors of 992.
2, 31
List the prime factors of 5717.
5717
What are the prime factors of 2639?
7, 13, 29
What are the prime factors of 117299?
7, 13, 1289
List the prime factors of 2583.
3, 7, 41
What are the prime factors of 23223?
3, 7741
List the prime factors of 15163.
59, 257
List the prime factors of 3103.
29, 107
List the prime factors of 110.
2, 5, 11
List the prime factors of 8763.
3, 23, 127
List the prime factors of 76783.
7, 1567
List the prime factors of 47255.
5, 13, 727
List the prime factors of 27885.
3, 5, 11, 13
What are the prime factors of 434?
2, 7, 31
What are the prime factors of 759?
3, 11, 23
What are the prime factors of 193?
193
What are the prime factors of 147706?
2, 13, 19, 23
List the prime factors of 706.
2, 353
What are the prime factors of 1263?
3, 421
List the prime factors of 6808.
2, 23, 37
List the prime factors of 1271.
31, 41
What are the prime factors of 145286?
2, 72643
List the prime factors of 8376.
2, 3, 349
What are the prime factors of 13872?
2, 3, 17
List the prime factors of 12657.
3, 4219
List the prime factors of 1609.
1609
What are the prime factors of 109403?
7, 15629
What are the prime factors of 164?
2, 41
What are the prime factors of 6236?
2, 1559
List the prime factors of 13436.
2, 3359
What are the prime factors of 3660?
2, 3, 5, 61
List the prime factors of 5142.
2, 3, 857
What are the prime factors of 1918?
2, 7, 137
List the prime factors of 6507.
3, 241
List the prime factors of 65828.
2, 7, 2351
What are the prime factors of 95449?
31, 3079
List the prime factors of 1446.
2, 3, 241
List the prime factors of 105732.
2, 3, 11, 89
List the prime factors of 559.
13, 43
List the prime factors of 2106.
2, 3, 13
List the prime factors of 25130.
2, 5, 7, 359
List the prime factors of 86620.
2, 5, 61, 71
List the prime factors of 21967.
11, 1997
List the prime factors of 89.
89
What are the prime factors of 21185?
5, 19, 223
What are the prime factors of 24672?
2, 3, 257
What are the prime factors of 13116?
2, 3, 1093
List the prime factors of 4681.
31, 151
List the prime factors of 347.
347
List the prime factors of 32502.
2, 3, 5417
What are the prime factors of 6351?
3, 29, 73
What are the prime factors of 251?
251
What are the prime factors of 23157?
3, 31, 83
What are the prime factors of 1812?
2, 3, 151
What are the prime factors of 47540?
2, 5, 2377
What are the prime factors of 37686?
2, 3, 11, 571
List the prime factors of 6444.
2, 3, 179
What are the prime factors of 13024?
2, 11, 37
What are the prime factors of 6540?
2, 3, 5, 109
What are the prime factors of 10620?
2, 3, 5, 59
What are the prime factors of 2633?
2633
List the prime factors of 635.
5, 127
List the prime factors of 13294.
2, 17, 23
What are the prime factors of 1003?
17, 59
List the prime factors of 5650.
2, 5, 113
List the prime factors of 12070.
2, 5, 17, 71
What are the prime factors of 166132?
2, 41, 1013
What are the prime factors of 2447?
2447
What are the prime factors of 4139?
4139
What are the prime factors of 1018?
2, 509
List the prime factors of 40146.
2, 3, 6691
List the prime factors of 38793.
3, 67, 193
What are the prime factors of 15019?
23, 653
List the prime factors of 100.
2, 5
List the prime factors of 4316.
2, 13, 83
List the prime factors of 21535.
5, 59, 73
What are the prime factors of 1042?
2, 521
What are the prime factors of 699?
3, 233
List the prime factors of 38073.
3, 7, 37
What are the prime factors of 375?
3, 5
List the prime factors of 8707.
8707
List the prime factors of 6314.
2, 7, 11, 41
List the prime factors of 27132.
2, 3, 7, 17, 19
What are the prime factors of 11021?
103, 107
List the prime factors of 95701.
95701
List the prime factors of 2315.
5, 463
List the prime factors of 5694.
2, 3, 13, 73
What are the prime factors of 28231?
7, 37, 109
What are the prime factors of 898?
2, 449
What are the prime factors of 321?
3, 107
What are the prime factors of 269?
269
What are the prime factors of 5111?
19, 269
What are the prime factors of 2227?
17, 131
List the prime factors of 934.
2, 467
List the prime factors of 906.
2, 3, 151
What are the prime factors of 4343?
43, 101
List the prime factors of 61310.
2, 5, 6131
List the prime factors of 65086.
2, 7, 4649
What are the prime factors of 4859?
43, 113
What are the prime factors of 2962?
2, 1481
What are the prime factors of 1585?
5, 317
List the prime factors of 26753.
31, 863
List the prime factors of 3399.
3, 11, 103
List the prime factors of 436.
2, 109
List the prime factors of 6832.
2, 7, 61
What are the prime factors of 969?
3, 17, 19
What are the prime factors of 839?
839
List the prime factors of 2122.
2, 1061
List the prime factors of 12198.
2, 3, 19, 107
List the prime factors of 5797.
11, 17, 31
List the prime factors of 67407.
3, 22469
What are the prime factors of 44836?
2, 11, 1019
List the prime factors of 411.
3, 137
What are the prime factors of 30222?
2, 3, 23, 73
What are the prime factors of 966?
2, 3, 7, 23
List the prime factors of 10563.
3, 7, 503
List the prime factors of 1582.
2, 7, 113
What are the prime factors of 3209?
3209
What are the prime factors of 1619?
1619
List the prime factors of 388.
2, 97
List the prime factors of 5479.
5479
List the prime factors of 30833.
11, 2803
List the prime factors of 33352.
2, 11, 379
List the prime factors of 11900.
2, 5, 7, 17
List the prime factors of 13797.
3, 7, 73
List the prime factors of 10915.
5, 37, 59
What are the prime factors of 2866?
2, 1433
What are the prime factors of 1994?
2, 997
What are the prime factors of 3225?
3, 5, 43
What are the prime factors of 47215?
5, 7, 19, 71
List the prime factors of 281.
281
What are the prime factors of 372?
2, 3, 31
What are | {
"pile_set_name": "DM Mathematics"
} |
p + 134*p**3 - 2*p**4 + 1085*p**3 - 1782*p**2 + 4*p**4 + 1781*p**2 + 2 to the form y*p**4 + c*p**3 + u*p**2 + k*p + q and give k.
-2
Rearrange -245*s**3 + 6 - 5 - 127*s**3 - 60*s**3 to a*s + c*s**3 + q*s**2 + i and give c.
-432
Rearrange (-5 + 5 + 2*v)*(3 - 4 + 5) + v + 2*v - v + (-3 - 1 + 1)*(7*v - 2*v - 6*v)*(-13 + 19 + 10) to the form c + j*v and give c.
0
Express (-232*r - 170*r + 278*r - 1)*(10*r + 5 - 5)*(3 - 7 + 2) as p*r**2 + n + y*r and give y.
20
Express -5*y**2 + 5*y**2 + 6*y**3 + (1 + 2 - 5)*(5 - 3 - 3)*(-8*y**3 + 93*y**3 + 140*y**3) in the form n + l*y + u*y**2 + m*y**3 and give m.
456
Express (1165 + 1143 + 1170 - 3478 - 177576*g)*(2*g - 1 + 1) as r*g + b*g**2 + s and give b.
-355152
Express -314931*a + 3 + 2 - 3 + 314462*a - 4 in the form u*a + k and give k.
-2
Rearrange 3831003 - 3*f**2 + 8*f**2 + f + f**3 - 3831145 to z*f + w*f**3 + x*f**2 + v and give z.
1
Express 30 - 48 + 31 + 54*g**3 + 36 as t*g + p + w*g**3 + v*g**2 and give p.
49
Express 55*f**4 + 2*f + 7*f**3 - 49*f**4 + 2 + 12*f**3 - 12*f**3 + 2*f**2 in the form z*f + c*f**2 + i + q*f**4 + x*f**3 and give c.
2
Rearrange 4*g**2 + 36*g**2 - 16*g + 2*g + 42*g - 14*g to f*g + c*g**2 + l and give c.
40
Express -16*k**3 + 9*k**2 + 22*k**2 - 4*k**3 - 2 - 30*k**2 as g*k**3 + h*k + i + w*k**2 and give i.
-2
Express -509 + 343 - 13340*l + 166 as o + x*l and give x.
-13340
Express 27*s - 66 + 1377*s**2 - 457*s**2 - 461*s**2 - 461*s**2 - 2*s**4 as j*s**4 + z + l*s + f*s**3 + q*s**2 and give f.
0
Rearrange -130*i + 15*i + 291*i + 20 - 44 to the form u*i + d and give u.
176
Express (r + 3 - 3)*(-3 - 1 + 3) + 44278 - 44276 + 709*r - 173*r in the form m*r + n and give m.
535
Express (9*z - 1 + 1 - 3*z - 3*z + 5*z + (-4 + 2 + 0)*(-4*z + 0*z - 5*z))*(-6*z**2 + 3*z**2 - z**2) in the form r*z**2 + h + a*z + i*z**3 and give i.
-104
Express (-b - b + 3*b)*((83 + 38*b - 83)*(2 + 0 + 0) + b + 18*b - 6*b)*(-b + 0*b + 0*b) in the form t + m*b**3 + j*b + h*b**2 and give m.
-89
Rearrange 31 + 1035 + 116 - 48 + v + 741 to the form s*v + f and give f.
1875
Rearrange 339*u**4 + 2*u**3 + 9*u**2 + 336*u**4 - 692*u**4 + 2 to the form n + m*u**4 + k*u**2 + h*u**3 + j*u and give h.
2
Express 3 + 2*k**2 - k**4 + 5897*k**3 - 2*k - 9 - 5922*k**3 as p + a*k + i*k**4 + u*k**3 + j*k**2 and give u.
-25
Rearrange -1247*x**3 + 535 + 1241*x**3 - 92 to the form z*x**3 + y*x + i*x**2 + c and give c.
443
Express 122*q**2 - 216*q + 16*q**2 - 213*q + 424*q - 2 as o*q + n + p*q**2 and give n.
-2
Express (-60*a + 27*a - 29*a)*(185*a**3 + 35*a**3 - 62*a**3)*(5 + 1 - 4) as l + m*a**2 + k*a**3 + n*a + f*a**4 and give f.
-19592
Rearrange -68758462 + 15583*y + 68758462 to n + u*y and give u.
15583
Express -28 + 163 - 2*z**2 + 47 + 44 as i + h*z + d*z**2 and give d.
-2
Rearrange 53730188 - 15*z**2 - 53730188 - z**3 + 306*z - 2 + z**3 + 2 + (-z + 4*z - z)*(z + 2*z**2 - z) to n*z + v*z**3 + s*z**2 + r and give s.
-15
Express 838*m + 843*m + 13 - 2496*m + 832*m as g*m + w and give w.
13
Express -144*r**2 + 56*r**2 - r - 1 - 486*r**2 - 13*r**2 - 305*r**2 as c + w*r + x*r**2 and give c.
-1
Rearrange -58*t + 67*t**2 - 55*t + 126*t to k + q*t**2 + s*t and give s.
13
Rearrange (-15*d**2 + 11*d**2 - 10*d**2)*(630 + 28*d**2 - 630)*(-21 - 1 - 4) to the form t + j*d**2 + w*d + g*d**4 + f*d**3 and give g.
10192
Rearrange -23*n**4 - 5*n**3 + 3*n**3 + 77450*n - 23*n**4 - 77459*n + 1 to i + u*n + c*n**3 + h*n**4 + t*n**2 and give i.
1
Express -87 - 86 - 50 - y + 34 in the form z + v*y and give v.
-1
Express 0*i**3 + 4*i**3 + 1 - 3*i**3 + (-56681 - 214*i + 56681)*(2 - 2 - 3*i**2) as h + g*i**2 + o*i + y*i**3 and give y.
643
Rearrange -406*r + 358*r - 526*r + (0 - 2 + 10)*(-4*r + 2*r + 3*r) to d + a*r and give d.
0
Rearrange 182*q**2 + 0 - 148*q**2 - 4 + (5 + 0 - 3)*(-65*q + 65*q + 6*q**2) to s*q + h*q**2 + v and give v.
-4
Express 1 - 1347*w + 5 - 2258*w - 9 + 5 as p + a*w and give a.
-3605
Express (2*w + 4 - 4)*(-50195 + 24146 + 22101)*(-1 + 4 - 1 + 6 - 1 - 3 + 1 - 2 + 3 + (-1 + 0 + 0)*(1 - 2 + 3))*(-3 + 1 - 2) in the form z*w + t and give z.
126336
Express (0*t**3 - 4*t**3 + 3*t**3)*((-3 + 4 - 5)*(t - 13*t - 12*t) + 0 - t + 0) in the form z + y*t + f*t**2 + k*t**4 + h*t**3 and give k.
-95
Express (-9 - 7*f + 9)*(5 - 3 + 0) + 1700 - 3408 + 1708 + 1379*f in the form l*f + d and give l.
1365
Rearrange -s**3 + 682 + 671 - 13*s**2 - 1985 + 655 to z*s**2 + t*s + y + f*s**3 and give y.
23
Express 14 - 54*a**2 + 16*a**4 - 64*a**2 - 12*a**4 + 116*a**2 - 2*a in the form m*a**3 + j*a + p*a**4 + q*a**2 + z and give p.
4
Rearrange 57252*z - 57252*z - 2343*z**2 to x*z + w + r*z**2 and give r.
-2343
Express (-5*j + 5*j + 4*j)*(-38*j - 10*j + 3*j) + (2 - 2 + j)*(3 - 31*j + 65*j - 40*j) in the form z + p*j + o*j**2 and give p.
3
Express 106 - 4*q**2 - 139 - q**3 + 35 - 3*q in the form j*q + r*q**2 + v + s*q**3 and give r.
-4
Rearrange 119619*m + m**2 + 119620*m - 1404 - 239238*m to f*m + d*m**2 + r and give d.
1
Rearrange -11 - 11 + 112117*d + 60 + 72 - 112104*d to the form a + n*d and give n.
13
Express (31031 - 31031 + 756*d)*(0 - 2 + 0) - d + 3*d + d - 1 + d + 1 + (-3 + 0 + 2)*(0*d - 3*d + 2*d) - 5 + 4*d - 3*d + d as t + o*d and give t.
-5
Rearrange 26 - 6013*y + 5*y**2 + 3003*y + 6 + 2994*y to the form d + t*y**2 + k*y and give k.
-16
Express 37 - 33 - 6*z - 24*z - 6*z + 6*z as b*z + j and give j.
4
Express 1 - 1703*u**2 + 3*u**3 + 171*u**4 + 5120*u**2 + 2*u - 1704*u**2 - 1711*u**2 in the form t*u**4 + y + x*u + r*u**3 + b*u**2 and give t.
171
Express 1554*d**2 - 9515 + 9515 + (d + 0*d + d)*(1 - 3*d - 1) + 0*d - d**2 + 0*d as i*d + g*d**2 + u and give g.
1547
Rearrange (24*b**3 + 69*b**3 + 3*b**3)*(-31*b - 116*b + 21*b) to the form g*b**2 + d + j*b + a*b**4 + u*b**3 and give g.
0
Rearrange -661*b - 1252*b - 1149*b - 34*b to the form n + l*b and give l.
-3096
Express -7*w + 51*w**4 - 23*w**2 + 4*w - 53*w**4 - 9*w**2 as g*w**4 + o*w + p*w**3 + h*w**2 + i and give o.
-3
Rearrange 7 - 1196*f + 43*f**2 + 1297*f - 42*f**2 - 2*f**3 to the form m*f**3 + k + c*f**2 + t*f and give c.
1
Express -4177*c - 1889*c + 252*c + 1213*c - 1145*c as q + w*c and give w.
-5746
Rearrange 782*i + 458*i + 658*i - 8 + 8 to the form t*i + r and give t.
1898
Express (-3*q + 0*q + q)*(q - 3*q + 0*q) + 55 - 3*q**2 - 55 + q + q**2 - q - 357*q**2 - 195*q**2 + 680*q**2 + 2*q + 1 in the form j*q**2 + r*q + y and give y.
1
Rearrange 4 - 239*o**2 - 48*o**2 + 0 - 575*o**2 - 121*o**2 to y + i*o**2 + q*o and give y.
4
Rearrange -3444*r + 1722*r + 1730*r - 46*r**2 - 10*r**2 to z + g*r**2 + s*r and give g.
-56
Rearrange (-2 + 2 - 2)*(-23 + 23 - 4*r) + 2 + 110*r - 47*r - 97*r to y + w*r and give w.
-26
Rearrange 251*q - 1343271 + 1343271 + 5*q**2 to b + k*q**2 + w*q and give k.
5
Express l**2 + 5*l**2 - 5*l**2 + (-l + 2*l + 0*l)*(-2*l + 5*l - l) + 38414 - 38414 - 4156*l**2 as x*l + y*l**2 + b and give y.
-4153
Rearrange (-5 + 5 - 2)*(-188 - 2*w**3 - 42 + 28735*w**4 - 28736*w**4) to the form n*w**4 + v*w**2 + g + y*w + m*w**3 and give m.
4
Rearrange (-45*a - 271*a + 56*a)*(-2*a**2 + 3*a - 3*a) + (-6*a**2 + 0 + 0)*(-1 - a + 1) to m*a**2 + q*a**3 + l + g*a and give q.
526
Express (45*g - 4 - 150*g + 65*g)*(6*g**2 - 14*g + 14*g) as i*g + h*g**2 + t*g**3 + k and give t.
-240
Rearrange 9*b**4 + b**2 + 227*b**3 - 9 + 223*b**3 - 668*b**3 + 219*b**3 to s*b**2 + p*b + o*b**3 + y*b**4 + q and give s.
1
Rearrange -10 + 56 - 56 - 3*m - 5*m**2 to the form z + l*m + h*m**2 and give l.
-3
Rearrange (-3 - 301636*k**2 + 23*k + 301632*k**2 + 1)*(3*k - 5*k + 0*k) to the form v + j*k + m*k**3 + o*k**2 and give j.
4
Express -5241 - 211*m**2 + 215*m**2 - m + m**3 + 5243 + m**4 in the form g*m**3 + h*m**4 + c + i*m**2 + l*m and give c.
2
Rearrange (-2 + 4 - 1)*(j - 7*j + j) + 37*j + 272*j - 73*j to the form p*j + q and give p.
231
Express -241*b + 122*b + 11 + 59*b + 54*b in the form r + h*b and give r.
11
Rearrange -700*i**4 + 7*i**2 + 19*i**2 - i + 1 + 696*i**4 + i**3 + 0 to q*i**2 + v + o*i**4 + p*i + u*i**3 and give p.
-1
Rearrange 1885*p + 307*p + 10075*p + 820*p to i*p + h and give i.
13087
Rearrange (-z - 6 + 2*z + 0)*(1 + 0 + 3)*(-17 + 50 - 27) to the form l + x*z and give x.
24
Rearrange (18 - 25335*f + 25821*f - 13)*(-11*f + f + f) to b + k*f + g*f**2 and give k.
-45
Express (1370*s + 582*s - 56*s + s**2 | {
"pile_set_name": "DM Mathematics"
} |
Factor c(z).
-4*z*(z - 1)*(z + 1)**2
Suppose 25042*i = 25140*i - 196. Determine q, given that -25*q**3 - 30*q**i - 7*q + 125/2*q**4 - 1/2 = 0.
-1/5, 1
Factor 165/4*d + 1/4*d**3 - 6*d**2 - 175/2.
(d - 14)*(d - 5)**2/4
Suppose 8 + 77*f**2 + 117*f**2 + 126*f - 8*f**3 + 26*f - 35 - 23 = 0. Calculate f.
-1, 1/4, 25
Suppose 0 = -3*n - 2*f + 10, -14*n + 4*f = -9*n + 20. Suppose -3*v + 26 = 5*r, 12*v + 10 = 15*v + r. Factor 3/8*o - 3/8*o**3 + 3/8*o**4 + n - 3/8*o**v.
3*o*(o - 1)**2*(o + 1)/8
Let o = 7 + -4. Let b = 211115 - 211112. Factor -63/5*f**2 - 72/5*f - 12/5 - b*f**o.
-3*(f + 2)**2*(5*f + 1)/5
Factor 497*u**4 - 1529*u**5 + 385*u - 472*u**4 + 1530*u**5 + 190*u**3 + 430*u**2 + 121.
(u + 1)**3*(u + 11)**2
Let m(j) = -j - 10. Let f be m(-12). Find t such that 21*t - 5*t**f - 23*t - 48*t = 0.
-10, 0
Suppose 96/5*a**2 + 432/5*a + 0 - 3/5*a**3 = 0. What is a?
-4, 0, 36
Let r(k) be the first derivative of k**6/4 - 87*k**5/5 + 327*k**4/8 + 88*k**3 - 339*k**2 + 336*k + 578. Suppose r(u) = 0. Calculate u.
-2, 1, 2, 56
Find q such that 21*q**2 + 229*q - 25*q**2 - 361*q - 424*q - 552 = 0.
-138, -1
Let k(r) = 16*r - 99. Let i be k(7). Suppose 18*d - 41 = i. Suppose -26/9*c - 32/3*c**2 - 2/9 - 8*c**d = 0. What is c?
-1, -1/6
Let c(t) be the first derivative of -2*t**5/45 + 2*t**4/3 - 14*t**3/9 - 98*t**2/9 - 28. Suppose c(s) = 0. Calculate s.
-2, 0, 7
Let h be (0 - 0) + 23 + (-75480)/3504. Let r = h + 3/73. Let r*t**3 + 45/2*t + 21/2*t**2 + 27/2 = 0. Calculate t.
-3, -1
Let f(l) be the first derivative of -l**3/3 - 64*l**2 - 1073. Determine w, given that f(w) = 0.
-128, 0
Suppose -196 + 148 = -12*d. Let n(c) be the first derivative of 1/10*c**6 - 9/25*c**5 + 6 + 3/10*c**d + 3/5*c + 2/5*c**3 - 9/10*c**2. Factor n(x).
3*(x - 1)**4*(x + 1)/5
Suppose 276*n - 281*n = 0. Suppose 5*f + 3*a = n, 0 = -a + a - a. Factor -3/7*k**4 + 0*k**2 + 0 + 3/7*k**3 + f*k.
-3*k**3*(k - 1)/7
Let q = -2702 - -1928. Let s = q + 776. Factor -3/2 + 27/4*n**s + 21/4*n.
3*(n + 1)*(9*n - 2)/4
Suppose -44*m + 49*m - 15 = 0, 5*h - 4*m = 758. Let r = h + -305/2. Solve -2*u + r*u**2 - 2 + 2*u**3 + 1/2*u**4 = 0.
-2, -1, 1
Suppose 937*g - 1698 - 176 = 0. Let -3/2*x + 3/2*x**3 - 5/4 + 1/4*x**4 + x**g = 0. What is x?
-5, -1, 1
Suppose -28 = -208*b + 209*b + 5*f, -4 = 4*b + 2*f. Suppose 0 + 0*x**b - 16/3*x + 4/3*x**3 = 0. Calculate x.
-2, 0, 2
Let v(o) = 20*o + 294. Let g be v(-12). Factor 0*n**3 + 503*n + 6*n**2 - 4*n**3 - g*n**2 - 587*n + 392.
-4*(n - 2)*(n + 7)**2
Let z(c) be the third derivative of -c**5/30 + 29*c**4/6 - 112*c**3/3 + 16*c**2 + 5*c + 12. Determine i so that z(i) = 0.
2, 56
Let u(v) = -4*v**3 - 2*v**2 + 2*v - 11. Let g be u(-5). Let w be (-10)/(-215) - g/(-946). Factor -1/2 + b - w*b**2.
-(b - 1)**2/2
Factor -2290*l + 5*l**2 + 207276 + 38451 + 16478.
5*(l - 229)**2
Let k be 30*((-6)/27 + 26/(-45)). Let y = 28 + k. Factor -4/9*i**2 + 0 - 10/9*i**3 - 8/9*i**y + 0*i - 2/9*i**5.
-2*i**2*(i + 1)**2*(i + 2)/9
Suppose -15*k - k + 33 = 1. Let y(t) be the second derivative of 1/80*t**5 + 0 + 1/3*t**3 + 20*t + k*t**2 - 7/48*t**4. Suppose y(r) = 0. What is r?
-1, 4
Let z(g) be the first derivative of -4*g**3/21 - 272*g**2/7 - 8892*g/7 + 7527. Factor z(d).
-4*(d + 19)*(d + 117)/7
Let f(x) be the third derivative of x**7/280 + x**6/80 - x**5/20 - x**4/4 - 10685*x**2. Factor f(k).
3*k*(k - 2)*(k + 2)**2/4
Suppose -29*s = -2*o - 32*s + 2, 0 = -3*o + s + 14. Suppose -o*d = -10*d + 36. Let -15/2*k**3 - d*k + 0 + 18*k**2 = 0. Calculate k.
0, 2/5, 2
Let m(h) = -38*h**4 + 215*h**3 + 544*h**2 + 129*h - 162. Let y(u) = 13*u**4 - 72*u**3 - 181*u**2 - 42*u + 54. Let x(p) = 3*m(p) + 8*y(p). What is b in x(b) = 0?
-3/2, -1, 2/5, 9
Let -144*d + 19516*d**3 - 9752*d**3 + 2*d**2 - 5*d**2 - 9749*d**3 = 0. Calculate d.
-3, 0, 16/5
Let o(v) be the third derivative of 6*v + 5/8*v**4 - 2/105*v**7 + 0*v**3 + 0 - 1/30*v**5 - 7/40*v**6 - 9*v**2. Factor o(m).
-m*(m + 1)*(m + 5)*(4*m - 3)
Let n be 3 + 3 + (-6916)/1326 + 775/(-85) + 9. Determine l, given that -n*l**2 - 4*l - 6 = 0.
-3
Let g(d) be the second derivative of 0*d**5 + 4/15*d**3 - 21*d + 0*d**2 + 0 + 2/75*d**6 - 1/5*d**4. Factor g(z).
4*z*(z - 1)**2*(z + 2)/5
Let y(v) be the first derivative of -1/5*v**5 - 3/4*v**4 + 107 + 0*v**2 + 6*v**3 + 0*v. Factor y(u).
-u**2*(u - 3)*(u + 6)
Solve -a**2 + 278 - 290 - 2*a**2 - 788 - 410*a - 2*a**2 = 0 for a.
-80, -2
Let t(c) = -c**3 + c + 1. Let r be t(-3). Determine s so that -24*s - r*s**2 + 10*s**3 + 6*s**4 - 18*s**2 + 27*s**2 + 0*s**4 - 4*s**4 = 0.
-6, -1, 0, 2
Let t(u) be the third derivative of u**6/420 - 57*u**5/70 + 333*u**4/28 - 495*u**3/7 - 7566*u**2. Let t(d) = 0. Calculate d.
3, 165
Let t(q) be the first derivative of 4/15*q**5 + 0*q**2 + 22 + 0*q**3 + 0*q - 1/3*q**4. Solve t(l) = 0.
0, 1
Let h be 4*(-1250)/(-2496) + 2/(-1). Let u = h + 205/936. Factor 2/9*y**2 + 4/9*y + u.
2*(y + 1)**2/9
Let z(r) be the first derivative of 0*r + 3/10*r**5 - 2*r**3 + 110 + 3/4*r**4 - 6*r**2. Determine y so that z(y) = 0.
-2, 0, 2
Suppose -5*o + 4*o + 3*t - 1159 = 0, 3*o - 2*t + 3477 = 0. Let q = o + 1162. Find n, given that 2/3*n + q*n**2 + 7/3*n**3 + 0 = 0.
-1, -2/7, 0
What is s in 0*s**4 - 8*s + 0 - 1/3*s**5 + 10/3*s**2 + 5*s**3 = 0?
-3, -2, 0, 1, 4
Let y(o) be the second derivative of -3/11*o**3 - 1/11*o**4 + 0*o**2 + 2*o - 1/110*o**5 - 47. Factor y(z).
-2*z*(z + 3)**2/11
Let d(l) = -61*l**3 - l**2 + 6*l + 6. Let q be d(-1). Factor -4*z**3 + q*z + 17*z**2 + 0*z**3 - 33*z**2 + 40*z**2 + 32.
-4*(z - 8)*(z + 1)**2
Let j(f) be the third derivative of 17*f**7/840 - 33*f**6/160 + 67*f**5/240 + 5*f**4/32 + 6*f**2 + 9. Determine o so that j(o) = 0.
-3/17, 0, 1, 5
Let y(i) = i**3 - 19*i**2 + 17*i + 5. Let d be y(18). Let u be -3 - (-1 - d)/(-2). Solve -4*a**3 - 2*a**5 - 2*a**4 + 10*a**4 - 2*a**u + 0*a**4 = 0.
0, 1, 3
Let b be (6/15)/(7889/245 + -30). Factor -8/11*d + 0 + b*d**2.
2*d*(d - 4)/11
Let y be (8/14)/(-1) + 176/14. Suppose 4*l - y = -0*l. Factor 257*a**2 - 258*a**2 + l - 3.
-a**2
Suppose -c = -6 + 1. Suppose 0 = -c*p - 3*u + 1, 15 = -5*u. Factor -4*w**4 - 5*w**p + w**2 - 6*w**3 - 2*w**3.
-4*w**2*(w + 1)**2
Let i(p) be the first derivative of -p**5/10 - 9*p**4/8 - 4*p**3 - 4*p**2 + 994. Factor i(t).
-t*(t + 1)*(t + 4)**2/2
Let j(d) be the third derivative of d**5/160 - 11*d**4/64 - 21*d**3/8 - 3166*d**2. Suppose j(t) = 0. What is t?
-3, 14
What is g in -26 + 316/3*g - 110/3*g**2 = 0?
3/11, 13/5
Suppose -h + 159 - 156 = 0. Let 6*k**2 + 297 + h*k**2 - 378 + 240*k = 0. What is k?
-27, 1/3
Let x(j) be the third derivative of -35/6*j**4 - 50*j**2 + 0*j - 3/8*j**5 + 27/16*j**6 - 20/3*j**3 + 0. Determine h, given that x(h) = 0.
-4/9, 1
Let n(t) = -t**4 + 2*t**3 - t**2 + 1. Let b(p) = 6 + 10*p**3 + 711*p**5 - 5*p**2 - 10*p**4 + 3*p**2 - 709*p**5. Let o(i) = b(i) - 6*n(i). Factor o(y).
2*y**2*(y - 2)*(y - 1)*(y + 1)
Factor -13629005/3*h**2 + 0*h + 16510/3*h**3 + 0 - 5/3*h**4.
-5*h**2*(h - 1651)**2/3
Let m(k) be the second derivative of 1 + 11/3*k**3 + 1/10*k**5 + 43*k + 6*k**2 + k**4. Suppose m(q) = 0. Calculate q.
-3, -2, -1
Let l(i) be the third derivative of -13/3*i**4 + 0 - 3*i**2 - 338/3*i**3 - 2*i - 1/15*i**5. Suppose l(o) = 0. Calculate o.
-13
Let d = 403 - 331. Suppose -158*m**2 + m**3 - 53*m**3 + 7*m - d - 90*m - 109*m - 6*m**4 = 0. What is m?
-3, -2, -2/3
Suppose 4*g - 4 - 4 = 0. Factor 6*j**4 - 30 - j + g*j + 19*j**2 - 15*j**4 + 20 - j**3.
-(j - 1)**2*(j + 1)*(9*j + 10)
Let f(n) be the second derivative of -5*n**4/18 - 1252*n**3/9 - 500*n**2/3 + n - 1080. What is o in f(o) = 0?
-250, -2/5
Factor w**3 - w - 3/2 + 2*w**2 - 1/2*w**4.
-(w - 3)*(w - 1)*(w + 1)**2/2
Let g(y) be the third derivative of 27*y**8/14 - 6*y**7/7 - 49*y**6/10 + 64*y**5/15 + 2*y**4/3 - 4572*y**2. Determine p, given that g(p) = 0.
-1, -1/18, 0, 2/3
Let d(z) = 3*z**2 - 2*z + 1. Suppose -w = -6*w + 5. Let b be d(w). Determine c so that 102*c - 84*c + 12*c**3 - 4*c**3 + 3 + 24*c**b + 1 = 0.
-2, -1/2
Let k(n) = 9*n - 167. Let g be 3 - ((-48)/18)/(2/12). Let a be k(g). Suppose 31/4*m**a - 15/4*m**5 - 30*m**2 + 20*m - 4 + 10*m**3 = 0. What is m?
-2, 2/5, 2/3, 1, 2
Let k(z) = 29. Let y(o) = -7. Let r(x) = 3*k(x) + 12*y(x). Let w = -5 + 8. Let t(i) = -i**2 + i - 6. Let d(j) = w*t(j) + 6*r(j). Find m such that d(m) = 0.
0, 1
Let g = 386/689 + 25161/5512. Fin | {
"pile_set_name": "DM Mathematics"
} |
pose -6*a + a = -10. Let c(s) = 4 + 2*s + a*s - 5*s. Give c(4).
0
Let g(j) = j**3 - 2*j + 1. Suppose -4*o + 2*y + 83 = o, -3*o + 48 = -3*y. Suppose -4*l + 5*t - o = 0, 0 = 4*l - 2*t + 14. Give g(l).
-20
Let t(q) = q. Let o(r) = 2*r - 4. Let b(c) = -3*c + 5. Let p(l) = -4*b(l) - 5*o(l). Let z(u) = -p(u) + 3*t(u). Determine z(-7).
-7
Let x be 1/(40/56*1*(-2)/10). Let w(g) = -g**2 + 4*g - 2. Let v(r) = -6*r**2 + 19*r - 10. Let u(j) = 2*v(j) - 11*w(j). What is u(x)?
-5
Let i(k) = 2*k + 7. Let a(u) = -u + 1. Let y(z) = -2*a(z) + i(z). Give y(-2).
-3
Let j = 2 - -2. Suppose 6 = p - 5*f, 0 = p - f + j*f - 22. Suppose -8*g + p = -4*g. Let r(d) = d**2 - 4*d - 4. Calculate r(g).
-4
Suppose 3 = -4*i + 7. Let z(x) = 8*x**2 - 1. Determine z(i).
7
Let p(a) = a**2 + 5*a - 6. Let m(r) = -r**2 - 9*r - 11. Let w be m(-6). Let n(s) = -s + 2. Let u be n(w). What is p(u)?
-6
Let r(w) be the third derivative of -w**4/12 + 7*w**3/6 + w**2. Let i = 3840 - 3834. Calculate r(i).
-5
Let w(r) = 8*r**2 - 2. Let q be w(1). Let s(t) = t**3 - 5*t**2 - 6*t + 8. What is s(q)?
8
Let o(u) = -u**3 - 27*u**2 - 7*u + 45. Let g be o(-27). Suppose -5*l - g = -269. Let c(j) = j. What is c(l)?
7
Suppose -2*v - 5*m + 18 = 6, 2*m = 3*v + 20. Let h(d) = -d**2 - d + 2. Give h(v).
-10
Let n(j) be the third derivative of j**6/120 - j**5/15 - j**4/8 + 5*j**3/6 + 126*j**2. Calculate n(5).
15
Let q(i) = -i**3 - i**2 - 1. Let h be q(-1). Let b(g) = -1740 + 2*g + 11*g + 1739 - 10*g. Determine b(h).
-4
Suppose -y + 2 = 4. Let k(l) be the first derivative of -l**4/4 + l**3/3 + l**2 + 2*l - 125. Give k(y).
10
Let r(p) = -13*p**3 + 10*p**2 + 49*p - 17. Let q(s) = -3*s**3 + 3*s**2 + 12*s - 4. Let n(h) = 9*q(h) - 2*r(h). What is n(8)?
14
Let i(j) = j**2 - 10*j + 17. Let m be 1/(-11) - 871/(-143). Calculate i(m).
-7
Suppose 3*x = 23 - 8. Let c(r) = 0 - 3 + 6 - 4*r + 4. What is c(x)?
-13
Let c(w) = -2*w**2 + 6*w + 3. Let s be c(4). Let p be 45/6*(0 + (-4)/s). Let h(i) be the first derivative of i**4/4 - 5*i**3/3 - 3*i**2 - i + 5. Give h(p).
-1
Suppose -t - 4 = x + 3, 5*x + 20 = 0. Let g(v) = -v**2 - 3. Calculate g(t).
-12
Let w(o) be the third derivative of o**5/60 + 3*o**4/8 - 5*o**3/3 + 80*o**2. Give w(-9).
-10
Let x(r) = 2*r - 3 + 6 - 8*r. Let l(o) = 5*o - 3. Let z(j) = 5*l(j) + 4*x(j). Determine z(6).
3
Let l(o) = -141 - 146 + 280 + o**2 + 3*o. What is l(-4)?
-3
Let z = 35 - 22. Let x(k) = 4*k**3 - 1 - z*k**3 - 4*k**2 + 10*k**3 + 2*k. Give x(3).
-4
Let m(i) = -2*i**2 + 46*i - 1. Let b be m(23). Let n(z) = -4*z**2 + z. Determine n(b).
-5
Let g(h) = 4*h - 2*h - 4*h + 12 - 4. What is g(7)?
-6
Suppose 0 = -p - 2*p + 6. Let s(m) = -3 + 7*m - 8*m**2 + 1 + 7*m**p. Let b(t) = 4*t**2 - 2*t + 1. Let r be b(1). What is s(r)?
10
Let j(k) = 3*k + 104*k**2 - 5*k - 3*k**3 - 6 + 2*k**3 - 107*k**2. Calculate j(-3).
0
Let v(h) be the first derivative of -40 + 1/3*h**3 - h - 9/2*h**2. Calculate v(9).
-1
Let u(t) = 19*t**2 + 235*t**3 - 51*t + 41*t + 14 - 233*t**3. Determine u(-10).
14
Let n(o) be the second derivative of 1/20*o**5 + 10*o + 0*o**3 + 11/2*o**2 + 3/4*o**4 + 0. Give n(-9).
11
Suppose -5*w - 19 = -24. Let c(p) = -w + 2 + 6*p**2 - 2*p - 4*p**2 + 0*p. Let o(n) = -n**3 - 3*n**2 - 4*n - 2. Let s be o(-2). Calculate c(s).
5
Suppose -25*m = 39 + 11. Let c(q) be the first derivative of -1/4*q**4 + 2 - 3/2*q**2 - q - 2/3*q**3. What is c(m)?
5
Let n(r) = 2*r + 4. Let u(h) = h**3 + h - 2. Let i(c) = c**3 + c**2 - c - 1. Let t(l) = -3*i(l) + u(l). Let v be t(-3). Let w = v - 12. Determine n(w).
12
Let g = -205 - -205. Let u(h) = -2*h - 3. What is u(g)?
-3
Let i = -22 - -16. Let p be (56/12)/((-2)/i + -1). Let t(l) = l**2 + 9*l + 5. What is t(p)?
-9
Let o = -18 - -7. Let n(x) = 4*x - x + 10 - 2*x + 0*x. Let a be n(o). Let p(w) = 4*w - 1. Calculate p(a).
-5
Let i(k) = 3*k - 36 + k**2 + 5 + 16 + 12. Let t be i(-2). Let d(s) = -2*s - 6. Determine d(t).
4
Let r(v) = -4*v + 694 - 345 - 344. Calculate r(2).
-3
Let y(w) be the second derivative of -2*w**3/3 + 6*w**2 - 203*w. Give y(4).
-4
Let n(b) = -13*b + 8. Suppose -4*j + 9 = -3*j. Let g(m) = -3*m + 2. Let c(h) = j*g(h) - 2*n(h). Give c(4).
-2
Let q(y) = 10*y**2 - y - 9*y**2 + 0 - 2. What is q(2)?
0
Let s(z) = -3*z - 23. Let w be s(-19). Let j = -38 + w. Let a(p) = -p**2 - 6*p - 2. Calculate a(j).
6
Let l = 395 - 396. Let r(t) = 8*t - 2. Calculate r(l).
-10
Suppose -39 = -4*w + 3*v, -2*v + 25 = 3*w - 17. Let t be (-4)/36*3*w. Let x(r) = r**2 + 3*r + 1. Let j be x(t). Let o(h) = h - 5. Calculate o(j).
0
Let a(m) = -10 - 89*m - 82*m + 169*m. What is a(-9)?
8
Suppose -9*h + 101 = -115. Suppose -a = -7*a - h. Let j(x) = -x**2 - 6*x - 3. Determine j(a).
5
Let u = 22 + -15. Suppose k = -2, 3*n + 5*k + u = 3. Let o(i) = i - 4*i**2 - 2 + 3*i**n + 3*i**2. Give o(-2).
4
Let u(o) = -o**3 - o**2 + o - 1. Let y(c) = -c**3 + 8*c**2 - 9*c. Let r be y(6). Let v be (2/5)/(r/(-90)). Let z be u(v). Let h(q) = -6*q**3. Calculate h(z).
-6
Suppose -q = 2*b - 9, -5*b + 3*q = 10 - 16. Let m(y) = -y**2 + 6*y. Let s(p) = p. Let i(z) = -m(z) + 5*s(z). What is i(b)?
6
Let m(t) = t**3 - t**2 - 1. Let f(q) = -5*q - 21. Let a be f(-13). Suppose p + a = 4*k + 7, 38 = -2*p - k. Let v = p - -21. Give m(v).
-1
Let n(t) = -7*t**2 - t. Let m(c) = 5*c - 5. Let o be (16/10)/(7/(-35)). Let l be m(o). Let g be (-16)/10 - 27/l. Determine n(g).
-6
Let h(s) be the second derivative of -2*s**2 - 1/2*s**3 + 7*s + 0*s**4 + 1/20*s**5 + 0. Calculate h(3).
14
Let g(h) = -2*h + h - 2*h - 5 - h**2. Suppose 47*w - 47 = -235. What is g(w)?
-9
Let s(c) = -1. Let u be (-1)/(-3) + -6*(-1)/9. Let x(k) = k + 1. Let l(d) = u*x(d) + 6*s(d). Let h be 0/((-1)/1 - 0). Determine l(h).
-5
Let v(q) = -12*q**2 + q**2 + 20*q**2 + 3*q**3 + 1 - 11*q**2 - 3*q + q. Calculate v(2).
13
Let x(r) = 3*r**3 - 3*r**2 - r - 12. Let z(p) = 4*p**3 - 4*p**2 - p - 14. Let v(b) = 5*x(b) - 4*z(b). Determine v(0).
-4
Let v(n) = -n + 2. Let d(j) = j - 1. Let h(c) = -5*d(c) - 6*v(c). Let m = 6 - 11. Let t be (m*(-2)/2)/1. Determine h(t).
-2
Let g be 8*2/4 + (-8)/2. Let a(m) = g*m - 6*m + 3*m - 7. Let n be -5 + (1 - (0 + 2)). Give a(n).
11
Suppose -4*c = 4*w, -2*c = -5*w - c + 18. Suppose -h - 4 = -w*h. Let u(y) = -h - 3*y + 4 + 3. Give u(4).
-7
Let k(f) be the third derivative of f**5/60 + f**4/6 + 2*f**3/3 + 33*f**2. Determine k(-5).
9
Let h(m) be the first derivative of -m**3/3 + m**2/2 + 3*m - 163. Give h(0).
3
Let i(o) be the second derivative of -o**4/12 - o**3/6 - 3*o**2/2 + 213*o - 2. Give i(-4).
-15
Let o(p) be the third derivative of 1/30*p**5 + 1/6*p**4 + 1/3*p**3 + 1/360*p**6 + 7*p**2 + 0*p + 0. Let q(v) be the first derivative of o(v). What is q(-3)?
1
Let u(t) = -2*t + 1 + 0 - t**2 - 4*t. Let o = 86 + -73. Let x = -19 + o. Determine u(x).
1
Let w(x) = 3*x**3 + 17*x**2 - 17. Let m(c) be the second derivative of c**5/20 + 2*c**4/3 - 4*c**2 - c. Let t(k) = 5*m(k) - 2*w(k). What is t(6)?
-6
Let h(j) = -2*j + 3*j + 0*j - 5. Let n(o) = -3*o - 79. Let y be n(-27). Suppose -5*k + 2*x + 23 = 0, -y*x + x = k - 6. Calculate h(k).
0
Let s(y) = 5*y**3 + 4*y**2 - 3*y + 16. Let b(a) = -6*a**3 - 4*a**2 + 3*a - 17. Let g(w) = 6*b(w) + 7*s(w). Calculate g(4).
-2
Let w(d) = -10*d + 6. Let y(b) = -b + 1. Let x(c) = -w(c) + 8*y(c). Suppose 0 = g - 5*a - 25, -5*g - 2*a = -7*a - 105. Suppose g = -17*t + 13*t. Calculate x(t).
-8
Let z be 1 - 1 - -3 - 20/2. Let p(q) be the first derivative of -q**3/3 - 4*q**2 - 6*q + 1. What is p(z)?
1
Let i = 14 + -9. Let o(l) = 2 + 5*l + i - 2 - 3. Let n(c) = c - 1. Let k be n(3). What is o(k)?
12
Let p(v) = v + 2. Suppose -3*q + b = -6, -18*q = -17*q - 3*b - 2. Calculate p(q).
4
Let i(j) = j**3 + 84*j**2 - 7*j - 5*j + 22 - 92*j**2. Give i(9).
-5
Suppose -3*y - 9 = v, -12 = -5*y + 5*v - 7. Let l(k) = -4*k**2 - k + 1. Determine l(y).
-13
Let p(y) = -12*y + 3*y + y**2 + 9 - 2. Determine p(6).
-11
Let k(d) = -2*d**3 + 2*d**2 + 1. Let x be k(2). Let c(h) = -10 - 3*h + 3*h - h. What is c(x)?
-3
Let z = 173 + -180. Let g(r) = -r**2 - 9*r - 10. Determine g(z).
4
Let j(u) = -9*u - 74. Let o be j(-8). Let g be (o/(-16)*4)/(1/(-2)). Let r(k) = k**2 + 0 - 2 + 1. What is r(g)?
0
Let y(x) = x**2 + 8. Let r = 16 - 13. Let b(j) = j**2 - j + 0*j + j + r*j. Let p be b(-3). Determine y(p).
8
Let w(a) be the second derivative of 3*a**4/4 - a**3/3 + a** | {
"pile_set_name": "DM Mathematics"
} |
f?
False
Let p = -9 + 9. Let v be (12/(-750))/(1/(-5)). Which is greater: p or v?
v
Let p be (-2*3/2)/(-1). Suppose 0 = -t + p*t + a - 3, -2*a = 3*t - 6. Let x be 2/(-11) - 56/(-66). Is x < t?
False
Let k = 0.2 - 0.3. Suppose -3*o = 2*o + 5*p - 15, -9 = -3*o + 2*p. Which is smaller: o or k?
k
Let d be (-7)/(-14)*-1*1/(-2). Let y = -0.01 + -1.99. Are y and d non-equal?
True
Let b be (0 - 0)/((-10)/(-5)). Let y be ((-2)/5 + 0)*-5. Let i = y + -3. Is i less than or equal to b?
True
Let h = -295 - -296.99. Let a = h - -0.01. Which is smaller: 5 or a?
a
Let j = 81/190 - 1/38. Suppose 0 = -0*u + u + 3. Let x be (-10)/u*21/14. Is x bigger than j?
True
Let c = 14 + -17. Let r = c - 2. Is -4 less than r?
False
Suppose 2*u - f - f = 30, -f - 45 = -3*u. Do u and 15 have the same value?
True
Let u be ((9/6)/(-3))/(-1). Suppose -4*y - 2*t + 24 = t, 2*y - 4*t + 10 = 0. Suppose 0*o = 3*o - y. Is u greater than o?
False
Suppose -m - 4*b - 22 = m, 3*b - 66 = 4*m. Let g be 9/(-15) + 6/m. Is -1 greater than or equal to g?
True
Let s be (1 - 5/3)*-6. Suppose 2*y - s*y - 16 = 0. Which is smaller: y or -7?
y
Let b = -1 + -1. Let j = -3 - b. Let f be 10/9 - (-3)/(-3). Which is smaller: f or j?
j
Let t = 6/43 - -63/473. Which is smaller: t or 0.1?
0.1
Let j = 2/3905 + 66373/23430. Are j and 3 nonequal?
True
Suppose 0 = -4*a - 3*z + 6, 0 = -2*a + a + z - 2. Suppose 0 = q - 0*q - 6. Suppose -w - 2*w + q = a. Is w equal to 3?
False
Let u be -1*(217/219 + -1). Let j be (-673)/(-24)*(-1)/((-73)/(-1)). Let q = u + j. Which is greater: q or 1?
1
Let s be (-1 - -2)*(-1 - 2). Let b = s + 3. Suppose -q - 2 + b = 0. Which is smaller: q or -0.1?
q
Suppose -2 = -i - 9. Which is greater: i or -6?
-6
Let u = 6 - -6. Let h = 12 - u. Which is smaller: -4 or h?
-4
Let g(o) = -2*o**2 + 2*o + 1. Let i be g(2). Let n = i + -1. Let u = n + 6. Is u <= 1/2?
False
Suppose -2*g = 2*g + 16. Let i = g - -5. Let s be -1 - 1 - (1 + i). Which is smaller: -5 or s?
-5
Let g(k) = -k**3 - 7*k**2 - 4*k + 12. Let j be g(-6). Suppose -s + 4 = 0, -s + 0*s = -4*z - 32. Is j <= z?
False
Suppose -3*c = -3*d - 2*d + 24, -3*d - 2*c + 3 = 0. Suppose 2*s - 1 = s. Are s and d equal?
False
Let w(g) = -2*g - 8. Suppose -2*u = -4*u - 12. Let v be w(u). Let d be -2 + (-7)/(-2 - -1). Is d greater than or equal to v?
True
Suppose -4*p + 8 = -76. Suppose -6*d + p = -3*d. Let w = 6 - d. Which is greater: 1/8 or w?
1/8
Let d = 0.3 - -6.7. Let g = 4 - d. Is -2 != g?
True
Suppose -4*v + 10 + 0 = 2*q, 25 = 5*q. Let b be 3 - 1 - 72/54. Which is bigger: v or b?
b
Suppose -4*f - 33 = 5*l, 2*f + 3 = -5*l - 6. Let g be (1/3)/((-16)/f). Which is bigger: g or -2/3?
g
Let m = 26 + -27. Which is bigger: m or 5?
5
Let b be 4/(-1) - 92/(-16). Are 1 and b nonequal?
True
Let y = 5 + -4. Let i be (1/(-4))/(y + 0). Are 0 and i unequal?
True
Let l = 43 - 61. Let k = -15 - l. Is k bigger than 2/3?
True
Let m = 5 + -2. Suppose -3*p + m = -4*p. Let x(w) = w**2 + 8*w - 21. Let r be x(-10). Is p <= r?
True
Let c be 4 + 52/(-16) + 50/8. Which is smaller: c or 9?
c
Let z = 61/810 - -2/81. Let b = -2 + 2. Is b != z?
True
Let o be (0/(-4) - 5) + -2. Which is greater: -8 or o?
o
Suppose 0 = 7*n - 2*n - 15. Which is greater: 2 or n?
n
Suppose 7 = -a + 3*s - 1, 1 = -5*a + 2*s. Which is greater: a or -4/3?
a
Suppose 50 + 0 = -3*k - y, 50 = -5*k + 5*y. Is k equal to -17?
False
Let i be (-1 - -2) + -1 - -6. Let x be (-10)/i + 4/6. Let z be x/(2 - 3)*1. Which is greater: z or 0?
z
Let d = -38 - -37. Let f(p) = -p + 1. Let m be f(2). Let i = m + 1. Which is smaller: d or i?
d
Let s be -1*(1 + 1 + 1). Let m(r) be the first derivative of -r**2/2 - 2*r + 4. Let j be m(-2). Are j and s non-equal?
True
Let i be (6/(-30))/(24/30). Do -3/13 and i have the same value?
False
Let k = 100 + -99. Let x = 2/67 - -59/268. Which is greater: k or x?
k
Let g(j) = -10*j**2 + 2*j**3 - 8*j - 4 - 3*j**3 + 2*j**2 - 3. Let m(s) = -s - 12. Let x be m(-5). Let u be g(x). Is u at least as big as 2/5?
False
Let x(y) = -3*y + 19. Let l be x(5). Is l < -1/3?
False
Suppose -4*x - q - 2*q = 0, -5*x + 5*q = 0. Let b be (-4)/(-14) - (-261)/42. Let f = 6 - b. Which is smaller: f or x?
f
Suppose -8*a + 9 = f - 4*a, -f + 5*a = 0. Let m be (f - 3)/(1/(-2)). Is m equal to -4?
True
Let x be (0/3 - -1)*1. Let z be (1/((-1)/(-3)))/x. Let r be -1*z/(0 + 3). Which is bigger: 1/3 or r?
1/3
Let j = -26 - -37. Is j greater than or equal to 11?
True
Let t be 52/16 + 1/(-4). Let h(b) = -1 - 6*b**2 - b**t + 5*b - 3 - 12*b. Let n be h(-5). Is 7 at least as big as n?
True
Let k(l) = l**3 - 6*l**2 + 4*l + 1. Let u be k(5). Let a be (-9)/(-2) - (-2)/u. Is 4 bigger than a?
False
Suppose -5*i + 2*i + 15 = -3*n, 2*n - 4*i + 18 = 0. Let f be 2/n + (-4 - -8). Is 0.1 at least f?
False
Let m(y) = y**2 - 9*y + 36. Let n be m(7). Which is bigger: n or 25?
25
Suppose -83*m + 87*m = -564. Is m at most as big as -0.1?
True
Let o = 0.2 - -0.8. Suppose 5*x = -0*x. Which is bigger: x or o?
o
Suppose 2*n - 3 = 5. Suppose -5*x = n*k - k + 12, -4*x - 20 = 5*k. Suppose x = 4*q - 14 + 2. Is 4 smaller than q?
False
Let n = -0.39 - 0.01. Let b = -0.3 - n. Let g = b + -0.2. Which is smaller: g or 1?
g
Let f(j) = -j**2 + 13*j - 16. Let h be f(11). Suppose x - 9 = -3*c - 2*x, 2*c + h = x. Let b(g) = -g**3 - 6*g**2 + g + 6. Let w be b(-6). Is c at most w?
True
Let r = 0.1 - 0.1. Let x = -24.3 - -25.1. Which is smaller: r or x?
r
Let x = 2 - 1.94. Let u = x - 2.06. Let s be 2 + 1/((-2)/3). Does s = u?
False
Let k = 1.2 - 5.2. Which is greater: 2 or k?
2
Let w be (-558)/(-42) + -1 + (-4)/14. Is w at least 13?
False
Let i(g) = 0*g**2 + 7*g + 2*g**2 + 3 - 3*g**2. Let y be i(5). Is y at most 13?
True
Let x = -0.2 - 0. Let s = 8 + -8. Let b = 0 + s. Is b equal to x?
False
Let d be (0 - (1 + -3)) + -3. Let x = 2/25 + 3/25. Let u = x + -13/15. Which is bigger: u or d?
u
Let s(c) = -3*c - 77. Let v be s(-21). Are 0.1 and v equal?
False
Let w = -0.47 + 0.5. Let y = w + 0.07. Let q = 2 + -4. Which is greater: y or q?
y
Suppose 5*x + 3 = 2*x. Which is smaller: 2/43 or x?
x
Let p be (-1)/(-2)*-4*-1. Let a be -2*p/4 + -3. Which is smaller: 1 or a?
a
Suppose 0*m - 4*m = -5*y + 83, 3*m + 5*y + 106 = 0. Let g be (-249)/m - 6/27. Is 8 at most as big as g?
True
Let g = 11.72 - 12. Let x = 0.03 - g. Let l = 0.01 - x. Is 1 less than l?
False
Let q(z) = -6*z - 6. Let n be q(-11). Let s be (-42)/n - 2/(-4). Which is bigger: s or 1?
1
Let w = 34 + -42. Which is smaller: 1 or w?
w
Let m = -0.78 - -0.08. Let t = m + 0.5. Which is smaller: 1 or t?
t
Let x(l) = -7*l + 13. Let v be x(4). Is v at most as big as -14?
True
Let n = 15.6 + -15. Let s = 0.02 - -0.38. Let f = n - s. Which is greater: f or 0?
f
Suppose 4*s - 6*s + 68 = 0. Let i be -11 + 8 + s/12. Is 1 <= i?
False
Suppose 2*j - 36 = -j. Suppose 4*s + 12 = -o, 0*s - j = 4*s - 4*o. Which is smaller: -4 or s?
-4
Let l be 4 - 2*6/4. Let t = l - -1. Let c be 9/(-36) + t/8. Is c bigger than 0?
False
Let u(o) = -o**3 - o**2 + o - 1. Let n be u(-2). Let q be (-7 + 3)*(-1)/(-14). Is n smaller than q?
False
Let f = 309/7 + -41. Is 4 > f?
True
Suppose 3*i = -2*i + 20. Is i less than or equal to 2?
False
Let t be (-5)/(-36) + (-73)/292. Let a = -1 + 1. Let w = a - -1. Is w greater than t?
True
Let d be (7/3)/(2/12). Which is greater: 15 or d?
15
Let l = -1/120 + 247/840. Let z = 7 + -4. Suppose 0 = -z*c - 0*c + 3. Which is bigger: c or l?
c
Suppose 0 = 3*a + 2*a - 40. Suppose 0 = 5*x - 3*x - a. Let m be (-1 - (-6)/x)/(-1). Which is bigger: 8 or m?
8
Let x = -0.48 - -0.3. Let s = x - -0.08. Is 0.2 at least as big as s?
True
Let u(w) = -5*w**3 + 4*w - 1. Let a(b) = b**3 + b**2 - b - 1. Let r(h) = -6*a(h) - u(h). Let y be r(-6). Are y and 0.1 non-equal?
True
Let j be 4/((-16)/66) + 2. Suppose -2*c - 55 = -5*u, c + c + 4*u = -10. Let x = c - j. Is -1/2 at most x?
True
Let k be (24/(-20))/(6/20). Let g be (-14)/k*(-16)/(-28). Suppose b = 3*b + g. Which is bigger: b or -1/2?
-1/2
Let q = 8571/10 - 858. Is q smaller than 0?
True
Suppose -8 + 4 = 4*t. Let b be 0 + (-3)/(1/t). Suppose -b*f = -4*o + 9, -4*o + 0*o + 15 = 3*f. Which is greater: 2/3 or f?
f
Suppose 3*r + 13 = l, r + 3*l = 5 - 16. Let d = r + 10. Suppose 2*h = 2*j - 3*j - 15, -45 = d*j + 4*h. Are -2/5 and j nonequal?
True
Let s = 10 + -14. Which is smaller: - | {
"pile_set_name": "DM Mathematics"
} |
k - 3. Let g(r) = m*j(r) + 5*y(r). Determine g(-8).
6
Suppose -6 = 3*y, -3*y - 47 + 53 = -4*t. Let j(g) = -g + 1. Let q(d) be the second derivative of -d**3/6 + 2*d**2 - d. Let l(v) = -2*j(v) + q(v). What is l(t)?
-1
Let k(o) = o**2 - 6*o - 11. Let n(h) = 2*h + 47. Let l be n(9). Suppose -8*w = 1 - l. Calculate k(w).
5
Let n(a) = 4*a**3 - 10*a**2 - 20*a + 18. Let x(p) = 9*p**3 - 19*p**2 - 49*p + 35. Let b(f) = -7*n(f) + 3*x(f). What is b(12)?
39
Let j(g) = -g**2 + 25*g + 20. Suppose 36 = 2740*z - 2739*z - 2*a, -3*a - 42 = -z. Determine j(z).
44
Let l(d) = d**2 - 8*d + 2. Let o(v) be the second derivative of 5*v**3/6 - 22*v**2 + 49*v - 2. Let b be o(10). Determine l(b).
-10
Let o = -47 - -43. Let c(z) be the first derivative of -z**4/4 + z**3/3 + z**2/2 + z + 8. Let d(k) = 7*k**3 - k - 9. Let n(x) = -6*c(x) - d(x). Calculate n(o).
-9
Let l(a) = a**2 + 4*a - 3. Let x(s) = 38*s**2 + 0*s**3 - s**3 - 23*s**2 + 11*s + 0*s**3 - 22*s**2 + 19. Let p be x(-8). Calculate l(p).
2
Suppose -2*k + 3*a = -24, 0 = 8*a - 7*a. Let r(j) = -4 + 13 - 3*j - k. What is r(-7)?
18
Let a(x) be the second derivative of -79*x - 5/3*x**3 + 2 - 3/2*x**2 - 1/12*x**4. Give a(-10).
-3
Let r(w) = -6*w - 67. Let y(t) = 2*t + 5 + 15 + 3 + 0. Let g(q) = -6*r(q) - 17*y(q). What is g(-5)?
1
Suppose 13039 = 21*w - 4*w. Let q(r) = -3*r - 767 + w. Calculate q(-2).
6
Let u(l) be the second derivative of l**3/2 + 63*l**2/2 + 66*l + 13. Give u(-23).
-6
Let b = 7 - 5. Suppose -5*r - 7 = -b. Let v(l) = 9 - 5 - 11*l - 4. Determine v(r).
11
Let b(r) = -3*r**2 + 2*r - 1. Suppose -310 + 367 = 19*x. Suppose x*j = 22 - 19. Determine b(j).
-2
Let p be (134 + -4 + 1)*-1*-1. Let i = -94 + p. Let m(l) = -l**2 + 41 + i - 83 + 5*l. What is m(5)?
-5
Let n be 2/((-6)/24*2). Let h = 0 + 1. Let u(t) = 15*t - 3*t - h - 13*t. Give u(n).
3
Let t be ((-5)/(-3))/(18/54) - -9. Let m(s) = 8*s - 117. Calculate m(t).
-5
Let j(d) = -d**3 + 10*d**2 + 22*d - 4. Let t be j(12). Let z be t/7 - (0 + 1) - 9. Let r(u) = -u**2 - 14*u - 12. Determine r(z).
-12
Let d(m) = -31*m + 315. Let s be d(10). Let x(l) = -l**3 - l + 1. Let f(n) = 2*n**3 + 4*n**2 + 7*n + 2. Let c(j) = f(j) + 3*x(j). Calculate c(s).
0
Let t(i) = -8*i - 111. Let k be t(-13). Let z(g) be the second derivative of -g**3/6 + g**2/2 + 8*g. What is z(k)?
8
Let z(r) = -2*r - 2. Suppose j = i - 3*j + 9, 0 = -5*i + j + 12. Suppose i*m = -5*t - 160, 0 = 3*m - 2 - 13. Let p = t - -37. Determine z(p).
-6
Let p(d) = -5*d + 2. Let u = -131 + 132. Suppose 3*v - u = -2*c - 3, -5 = 5*c - 2*v. Determine p(c).
7
Let z(y) = -3*y**2 + 6*y + 22. Let t(b) = -2*b**2 + 4*b + 20. Let k(a) = -4*t(a) + 3*z(a). Give k(0).
-14
Let l(p) = 3*p**2 - 2*p - 1. Let t be l(2). Suppose 0 = 2*z - t*z + 20. Let j(y) = -75*y + y**2 + 75*y - 5. Calculate j(z).
11
Let l be (178/534)/((-4)/(-180)). Let a(o) = 3*o - 79. Calculate a(l).
-34
Let b(x) = -x**3 + 13*x**2 - 33*x + 122. Let q be b(11). Let i(k) = -6*k**3 - 2*k**2 + 2. What is i(q)?
-6
Suppose 43*a = 1308 + 154. Let c(w) = -4*w + 27 + 6*w**2 - a + 6 - 5*w**2. What is c(6)?
11
Let x(s) = s**3 + s**2 + 18. Let v be (-575)/(-200) + ((-2)/1)/(-16). Suppose 8*m - 10*m = 5*r - 2, -v*r + 2*m = 2. Give x(r).
18
Let h(g) be the first derivative of 5*g**2/2 - 2*g + 2. Suppose 4*c + 3 = 3*c, 4*c = -3*p - 12. Suppose -i - 2 = -4*u, p = 2*i + 2*u + 2*u + 4. Determine h(i).
-12
Suppose 2*p + 123 = 5*p. Let m = p + 29. Let y = m - 71. Let w(z) = 8*z**2 - z. Determine w(y).
9
Let w(b) be the first derivative of 2*b**3 - b**2 + b - 288. Let r(i) = 5*i - 4. Let v be r(1). Give w(v).
5
Let j(d) = -5*d + 126. Let g(f) = -3*f - 1. Let n(i) = -4*g(i) - j(i). Let t be n(7). Let u(x) = -x**2 - 3*x. Calculate u(t).
0
Let v(j) = -j**3 - 7*j**2 + 21*j + 30. Suppose -295 = -150*y - 1645. What is v(y)?
3
Let k(h) = -3*h + 3. Let b be (15/(-6) + 2)/(2/4). Let v be k(b). Let l(o) = 10*o - 57. Let g be l(v). Let a(d) = 6*d + 1. What is a(g)?
19
Let p be ((-9)/4)/(2/8). Let f(d) = 4*d - 3 + 6*d - 11*d. Let u(c) = 4*c + 21. Let z(y) = 3*f(y) + u(y). Calculate z(p).
3
Let n(y) = 15*y - 19. Let i = -5284 + 5286. Determine n(i).
11
Suppose -6*i = -4*i + 4*t + 16, -t = 2*i + 1. Let l(b) = b + i*b**3 + 8*b**3 - 1 - 9*b**3 - 5. Calculate l(0).
-6
Let h(l) be the third derivative of 110*l**2 + 1/20*l**5 - 5/24*l**4 + 5/6*l**3 + 0*l - 1/120*l**6 + 0. Determine h(2).
-1
Let x(v) be the third derivative of v**4/24 + 13*v**3/3 + v**2 + 19. Let k be x(-21). Let w(t) = t - 2. Calculate w(k).
3
Let b be (2/4)/((-1)/(-4)). Suppose b*x + x - 12 = 0. Let y(p) be the first derivative of -p**2/2 + 4*p + 29. Calculate y(x).
0
Let t(p) = 6*p**3 + 15*p**2 - 2*p + 22. Let i(g) = 4*g**3. Let n(o) = 2*i(o) - t(o). Calculate n(7).
-57
Let w(l) be the first derivative of 7*l**4/24 + l**3/2 - 7*l**2/2 + 8*l - 49. Let f(d) be the second derivative of w(d). What is f(-3)?
-18
Let g = -313 + 316. Suppose 3*k - g*r + 12 = 0, -k + 0*k - r - 6 = 0. Let c(f) = -4*f - 7. What is c(k)?
13
Let r(h) = -h**3 - 8*h**2 - 18*h - 79. Suppose 2*k + 4*p = -14, -301*p + 305*p = 0. Determine r(k).
-2
Let v(f) = 30*f - 1. Let x(r) = 9*r**2 - 59*r - 24. Let c be x(7). Suppose 285*h = 289*h - c. Determine v(h).
29
Let w(j) = -j**3 + 3*j**2 - 2*j + 1. Let u(a) = -2*a**2 + a - 3. Let q be 16/(-12)*24/16. Let y(l) = q*u(l) + w(l). Determine y(6).
19
Let w be ((-3)/(3/2))/(1346/(-4711)). Let c(q) = 2*q**2 - 11*q + 23. Give c(w).
44
Let g(j) be the first derivative of 18 + 7*j**3 + 0*j + 0*j**2 + 7/24*j**4 + 1/120*j**5. Let f(s) be the third derivative of g(s). Give f(-7).
0
Let w(q) be the second derivative of -19*q**3/6 - 15*q**2/2 + 5278*q. Calculate w(1).
-34
Let v(u) be the third derivative of u**5/60 - 5*u**4/12 + 5*u**3/6 - 4*u**2. Let b be 14/(0/(-14) + (-2 - -4)). Give v(b).
-16
Let j(y) be the second derivative of -y**3/6 - y**2 + 3*y + 2. Let c(o) = 6*o + 11. Let w(x) = 6*c(x) + 33*j(x). Determine w(-2).
-6
Let f(z) be the second derivative of z**5/20 + 19*z**4/12 + z**3/6 + 21*z**2/2 + 41*z + 1. Calculate f(-19).
2
Let w(o) = -o**3 - 2*o**2 + o - 1. Let x(v) = -v**3 + 6*v**2 - 6*v + 7. Let l be x(2). Suppose l = -6*s - 13. Give w(s).
27
Let l(w) = 2*w**2 + 22*w + 36. Let t(u) = -7*u**2 + 111*u - 92. Let s be t(15). Give l(s).
0
Let y(z) = -z**2 - 15*z + 2. Let f be 44*2*(-17)/136. Calculate y(f).
46
Let q(d) be the second derivative of -d**4/12 + 5*d**3/3 - 17*d**2/2 + 3*d. Let l(p) = -p**3 - 39*p**2 + 167*p - 207. Let s be l(-43). Determine q(s).
-1
Let x(u) = -7*u + 19 + 3 - 3*u**2 - 22. Let z(s) = 2*s**2 + 7*s - 1. Let i(v) = 3*x(v) + 4*z(v). What is i(8)?
-12
Suppose -3*a = 438 - 444. Let s(t) = 16*t - 15. What is s(a)?
17
Let i(g) = g**3 - 7*g**2 + 11*g - 26. Let r be (0 - -1)/(145/870). Calculate i(r).
4
Let o(s) = -41 + 0*s**3 + 2*s + 5*s**2 + 0*s**2 + 36 - s**3. Give o(5).
5
Let q(n) = 91 + 6*n - 4*n - 44 - 31*n**2 + 30*n**2 + 9*n. Calculate q(-3).
5
Let t = 2378 - 2370. Let h(x) be the second derivative of x**4/12 - 3*x**3/2 - x**2/2 + 4*x. Calculate h(t).
-9
Let l(u) be the first derivative of 13*u**2 + 173*u + 6882. Give l(-7).
-9
Suppose -p + 1107 = 5*n + 310, -805 = -5*n - 5*p. Let s = 166 - n. Let g(a) = a. Calculate g(s).
7
Let c(o) = o**3 + 5*o**2 + 3*o + 6. Let k = 626 - 614. Suppose -70 + 130 = -k*w. Calculate c(w).
-9
Let v = -2327 + 2321. Let o(d) = -6*d - 46. Determine o(v).
-10
Let f(g) = 86*g - g**2 + 78*g - 344*g + 48*g + 125*g - 10. Suppose -4*z - 1 + 9 = 0, -z = a + 6. Calculate f(a).
-18
Let a(n) = 3*n**3 + 4*n**2 + 5*n - 6. Let z(t) be the first derivative of 2*t**4 + 11*t**3/3 + 7*t**2 - 18*t - 3. Let j(w) = -11*a(w) + 4*z(w). Calculate j(0).
-6
Let o(s) = -375*s + 10 + 390*s - 1 - 16 + 5. Determine o(-1).
-17
Let t = -286 - -180. Let n = t - -109. Let i(r) = 46 - 3*r**3 + 44 - n*r + 43 + 3*r**2 - 130. Give i(2).
-15
Let n(l) be the first derivative of l**4/4 + 3*l**3 + 9*l**2/2 + 12*l - 15663. Let o = -11 + 3. Determine n(o).
4
Let s(t) = t**3 - 6*t**2 + t - 7. Suppose 0 = x - 2, 0*d - d = -2*x + 7. Let l(b) = -6*b - 13. Let n be l(d). What is s(n)?
-27
Let c(t) be the third derivative of -7*t**4/12 + 149*t**3/3 + 3939*t**2. Determine c(21).
4
Suppose 24*a = 22*a + 12. Suppose -a*g = 3*c - g - 1203, 0 = 3*c + 2*g - 1194. Let v(u) = -c*u**2 + 8 + u - 8*u - u**3 + 388*u**2. Give v(-7) | {
"pile_set_name": "DM Mathematics"
} |
- 508. Give p(-64).
4
Let g(p) = -95*p + 759. Determine g(8).
-1
Let c(q) = 16*q**2 - q + 1. Calculate c(1).
16
Let x(i) = -i - 19. Determine x(-16).
-3
Let l(v) = -57*v + 349. Calculate l(6).
7
Let y(i) = i**2 - 22*i + 51. Give y(21).
30
Let m(u) = u**3 + 54*u**2 + 105*u + 54. Determine m(-52).
2
Let a(t) = -2*t**2 - 2*t + 5. Determine a(0).
5
Let z(m) = -m**2 - 19*m - 82. Determine z(-13).
-4
Let r(o) = -o**3 - 13*o**2 - 55*o - 366. Calculate r(-11).
-3
Let h(m) = m**3 + 3*m**2 + 2*m - 2. Give h(-4).
-26
Let f(y) = y**3 + 24*y**2 - 23*y + 47. Give f(-25).
-3
Let r(f) = f + 16. Give r(-13).
3
Let s(b) = -b**2 + 14*b - 13. What is s(6)?
35
Let g(p) = 8*p - 31. Give g(6).
17
Let o(w) = -2*w - 13. Give o(-12).
11
Let z(c) = 52*c - 525. Give z(10).
-5
Let g(w) = -4*w + 46. Calculate g(22).
-42
Let h(c) = -c + 8. Determine h(8).
0
Let v(y) = -y**3 + 7*y**2 + 8*y + 2. Determine v(8).
2
Let k(x) = 3*x + 35. Determine k(-12).
-1
Let c(r) = -r**3 + 5*r**2 + r - 2. Give c(4).
18
Let a(l) = l**3 - 15*l**2 - 16*l - 7. Give a(16).
-7
Let c(t) = 2*t + 6. Determine c(-12).
-18
Let b(l) = 3*l**3 + 3*l**2 + 3*l + 2. Calculate b(-2).
-16
Let w(j) = j**2 - 9*j - 4. Determine w(10).
6
Let m(h) = -5*h**2 + 119*h - 83. What is m(23)?
9
Let f(q) = q**3 + 6*q**2 + 9*q - 3. Calculate f(-5).
-23
Let j(m) = -2*m**3 + 6*m**2 + 2*m + 6. Determine j(4).
-18
Let u(a) = -2*a**3 + 4*a**2 - 10*a - 5. Determine u(5).
-205
Let f(l) = -l**2 + 7*l + 5. Give f(7).
5
Let o(h) = -h**3 + 3*h**2 - 4*h + 7. Calculate o(3).
-5
Let d(l) = l**3 - 5*l**2 + 7*l - 16. Give d(3).
-13
Let b(j) = -2*j - 2. Calculate b(-7).
12
Let g(f) = -f + 12. Calculate g(15).
-3
Let l(z) = -z**2 + 38. Give l(0).
38
Let t(w) = -18*w - 12. Give t(-7).
114
Let i(q) = -5*q**3 + 5*q - 2. Give i(-2).
28
Let k(o) = -o**3 + 2*o**2 - 2*o + 37. Calculate k(4).
-3
Let d(f) = f**3 - 22*f**2 + f - 27. Determine d(22).
-5
Let q(b) = -5*b + 11. What is q(6)?
-19
Let w(a) = -25*a + 151. Give w(5).
26
Let n(p) = -9*p - 5. What is n(-2)?
13
Let k(q) = q**3 - 6*q**2 - 15*q - 7. Determine k(8).
1
Let h(s) = -s**3 - 3*s**2 + 8*s + 8. Determine h(-5).
18
Let k(r) = -r**3 - 22*r**2 + 24*r - 38. Give k(-23).
-61
Let r(b) = -2*b + 24. Give r(12).
0
Let x(c) = c**3 - 6*c**2 - 13*c + 3. What is x(7)?
-39
Let m(o) = o**3 + 8*o**2 - 15*o - 9. Determine m(-9).
45
Let c(r) = r**3 - 8*r**2 - 28*r + 167. What is c(9)?
-4
Let i(l) = -l**2 + 7*l - 12. Give i(2).
-2
Let u(h) = -22*h - 1. Calculate u(4).
-89
Let t(z) = -z**2 + 13*z - 22. Calculate t(11).
0
Let z(u) = -u**2 + 3*u + 1. Give z(0).
1
Let d(n) = -n**3 - 28*n**2 + 29*n - 18. Give d(-29).
-18
Let g(s) = -s**3 + 10*s**2 - 28*s + 19. Determine g(6).
-5
Let t(f) = -33*f - 3. Calculate t(-1).
30
Let n(x) = x**3 - x**2 + x - 1. What is n(1)?
0
Let u(z) = 56*z - 1400. Give u(25).
0
Let l(f) = f**2 + 15*f + 10. Calculate l(-13).
-16
Let y(v) = -v**2 + 15*v + 6. Determine y(12).
42
Let t(z) = 6*z + 1. Calculate t(1).
7
Let p(x) = 17*x**2 + x + 1. Calculate p(-1).
17
Let f(s) = -s**2 + 5*s - 3. Determine f(-6).
-69
Let o(h) = 33*h + 268. What is o(-8)?
4
Let l(k) = k**2 + 11*k + 34. What is l(-8)?
10
Let k(w) = -w**2 - w + 32. Give k(-6).
2
Let p(f) = f**3 + 7*f**2 + 2*f - 5. What is p(-3)?
25
Let l(s) = s + 2. Calculate l(-13).
-11
Let h(p) = p**3 + 4*p**2 - 3*p - 8. Determine h(-4).
4
Let x(w) = -w**2 + 13*w + 7. What is x(17)?
-61
Let f(g) = g**2 - 15*g - 37. What is f(17)?
-3
Let j(y) = -2*y**3 + 18*y**2 + 2*y - 12. Determine j(9).
6
Let r(j) = -j**3 + 7*j**2 - 2*j - 2. Calculate r(5).
38
Let x(k) = k**2 - 4*k - 121. What is x(-9)?
-4
Let o(i) = -i**2 - 6*i - 5. Determine o(-6).
-5
Let b(j) = -j**3 + 15*j**2 - 16*j - 14. Give b(13).
116
Let i(k) = 2*k**2 + 13*k - 3. Determine i(-7).
4
Let x(p) = -p**2 - 12*p - 9. What is x(-8)?
23
Let s(l) = 2*l**2 + 2*l + 8. Determine s(-5).
48
Let d(r) = -r**3 - 15*r**2 - 15*r - 19. Give d(-14).
-5
Let k(c) = c**3 + 4*c**2 - 5*c - 25. Calculate k(-4).
-5
Let x(v) = -v**3 - 12*v**2 - 2*v - 15. What is x(-12)?
9
Let l(o) = -4*o**2 + 29*o - 9. Calculate l(6).
21
Let o(d) = 11*d**3 - 3*d**2 - 6*d - 3. Give o(-1).
-11
Let h(p) = p**3 - 8*p**2 + 3*p - 3. Calculate h(8).
21
Let o(k) = 13*k**2 + 4*k - 3. Determine o(2).
57
Let k(d) = 20*d - 236. Determine k(12).
4
Let w(u) = u**3 - 11*u**2 + 8*u + 9. Determine w(7).
-131
Let q(z) = -2*z - 21. Determine q(-10).
-1
Let d(c) = 3*c**3 - 4. Calculate d(-2).
-28
Let y(s) = -3*s + 60. Give y(20).
0
Let x(s) = s**2 - 10*s + 4. Give x(7).
-17
Let w(i) = -8*i - 8. What is w(-2)?
8
Let g(y) = -y**3 + 2*y**2 + 4*y - 7. Give g(3).
-4
Let r(a) = -a**2 + 3*a + 2. What is r(-2)?
-8
Let i(r) = r**3 - 18*r**2 + 7*r + 3. What is i(18)?
129
Let f(h) = -10*h - 145. Determine f(-15).
5
Let b(r) = -2*r + 45. Calculate b(7).
31
Let i(v) = -2*v + 16. What is i(10)?
-4
Let y(c) = 4*c**3 - 2*c + 1. Give y(2).
29
Let f(i) = -i**3 + 22*i**2 - 5*i + 102. Calculate f(22).
-8
Let q(b) = -3*b**2 - 10*b + 23. Give q(3).
-34
Let r(h) = h**3 - 12*h**2 + 14*h - 22. Calculate r(9).
-139
Let u(g) = -g - 7. Determine u(-10).
3
Let l(s) = -s**3 + 2*s**2 + 4*s - 3. What is l(3)?
0
Let f(v) = -v**2 + 21*v + 26. Give f(22).
4
Let f(w) = -w**2 - 12*w - 10. Calculate f(-9).
17
Let u(m) = -5*m**2 + 91*m - 22. Determine u(18).
-4
Let k(q) = -q**3 + 9*q**2 + 7. Calculate k(9).
7
Let p(m) = -m**2 + 3*m + 7. Give p(5).
-3
Let g(b) = b**2 - 4*b - 2. Calculate g(3).
-5
Let d(b) = -2*b**3 - 7*b**2 + 14*b. What is d(2)?
-16
Let d(f) = f**3 + 4*f**2 + f - 6. Calculate d(-2).
0
Let h(y) = y**2 - 18*y + 71. What is h(7)?
-6
Let a(z) = z - 46. Give a(0).
-46
Let y(d) = d**3 - 18*d**2 + 19*d - 4. Give y(17).
30
Let x(u) = u**3 + 4*u**2 - 5*u - 1. Determine x(-5).
-1
Let q(m) = -m**2 - 26. What is q(0)?
-26
Let s(w) = 12*w**3 + 2*w**2 - 1. Determine s(-1).
-11
Let w(f) = f**2 + 9*f - 5. Give w(-10).
5
Let f(u) = -u**2 + 13*u - 15. Give f(13).
-15
Let q(h) = 3*h - 52. Give q(20).
8
Let o(l) = -7*l**2 - 4*l. Give o(-3).
-51
Let h(q) = q**3 + 9*q**2 + 9*q - 3. Give h(-8).
-11
Let u(c) = 7*c - 83. What is u(11)?
-6
Let w(x) = x**3 - 15*x**2 - 15*x - 21. Give w(16).
-5
Let r(z) = 17*z - 22. What is r(7)?
97
Let u(v) = v**2 + v - 1. Calculate u(-8).
55
Let j(p) = 2*p**2 - 3*p - 6. What is j(3)?
3
Let q(a) = -a - 2. Calculate q(10).
-12
Let k(j) = -j**2 - 3*j + 4. Determine k(-6).
-14
Let y(s) = -13*s**2 - 7*s - 1. What is y(-1)?
-7
Let q(t) = -6*t**2 - t - 1. Calculate q(-1).
-6
Let j(z) = 4*z + 7. Determine j(11).
51
Let d(w) = w**3 + 6*w**2 + 16*w + 56. What is d(-5)?
1
Let o(p) = -p**2 + 5*p + 35. Determine o(8).
11
Let y(u) = -u**3 + 8*u**2 - 2*u - 2. Give y(8).
-18
Let t(h) = h**3 + 35*h**2 - 34*h + 80. Determine t(-36).
8
Let l(o) = -2*o**3 + 9*o**2 + 3*o + 12. What is l(6)?
-78
Let h(w) = w**3 + 8*w**2 + 12*w - 6. Determine h(-6).
-6
Let v(l) = -l + 18. What is v(-8)?
26
Let w(q) = 151*q + 1. What is w(1)?
152
Let q(x) = -47*x + 278. Determine q(6).
-4
Let p(s) = -s - 14. What is p(7)?
-21
Let b(f) = 6*f - 38. Calculate b(10).
22
Let t(o) = -19*o. What is t(-4)?
76
Let m(b) = 132*b + 4. Determine m(-1).
-128
Let w(t) = -2*t**2 - 14*t - 28. Calculate w(-3).
-4
Let z(p) = p**2 - 9*p + 27. Calculate z(4).
7
Let q(u) = -u**3 + 23*u**2 - 41*u - 21. Give q(21).
0
Let p(u) = -u**3 - 5*u**2 + u + 12. Determine p(-5).
7
Let g(p) = -p**3 + 25*p**2 - 145*p + 7. Determine g(9).
-2
Let s(j) = -4*j + 5. Determine s(-1).
9
Let u(w) = -w**2 - 9. Give u(0).
-9
Let p(d) = d**3 + 7*d**2 + 5*d - 16. Give p(-6).
-10
Let f(y) = y. Determine f(2).
2
Let g(d) = -16*d + 64. Give g(6).
-32
Let f(g) = 7*g**2 - g - 2. Give f(-1).
6
Let o(b) = b**2 - b - 1. What is o(2)?
1
Let w(a) = a**3 + 6*a**2 + 5*a + 2. Calculate w(-4).
14
Let y(f) = -f**3 - f**2 + 23*f + 54. Calculate y(-3).
3
Let a(d) = d + 4. Calculate a(-4).
0
Let z(x) = x + 9. Determine z(0).
9
Let z(f) = -2*f**2 - 27*f + 6. Calculate z(-14).
-8
Let u(z) = -13*z - 7. Determine u(3).
-46
Let k(w) = w + 15. Determine k(-7).
8
Let h(k) = 3*k - 16. Determine h(8).
8
Let d(v) = -v**2 + 3*v + 5. Calculate d(5).
-5
Let c(t) = 2*t + 16. Give c(-8).
0
Let y(l) = l**3 + 10*l**2 + 2*l + 3. Determine y(-10).
-17
Let u(x) = x**2 - 2*x - 10. What is u(6)?
14
Let c(t) = 2*t**3 + 12*t**2 - 4. Calculate c(-6).
-4
Let s(z) = 6*z. What is s(2)?
12
Let h | {
"pile_set_name": "DM Mathematics"
} |
sqrt(35)/sqrt(7)) + sqrt(40)/(sqrt(40)/sqrt(5)).
16*sqrt(5) + 133
Simplify (2 + (3 + 4 + 5 + -1*sqrt(833) + 2*(sqrt(833) - (1 + sqrt(833))))**2)*4.
-560*sqrt(17) + 3740
Simplify (-4*(0 + 5*sqrt(1458)) - ((sqrt(18) + -2)*1 - (-4 + sqrt(72))))**2.
2148*sqrt(2) + 576742
Simplify ((sqrt(1125) + (sqrt(1125)*-2 + sqrt(1125))*1 + sqrt(1125))*5)/(6*sqrt(324) - sqrt(27)/sqrt(3)*-4).
5*sqrt(5)/8
Simplify 6*5*(4 + -5*(-3*(sqrt(720) + 1)**2 - (2*sqrt(720) + -2))).
14400*sqrt(5) + 324270
Simplify (((5*(sqrt(13) - sqrt(65)/sqrt(5)) - sqrt(13)) + 4*4*sqrt(13) + -4*sqrt(52)*5*-1)*3 + -1)**2.
-330*sqrt(13) + 353926
Simplify (-6*(sqrt(272) + 1) - -2*(-2 + sqrt(272)) - (-1*(-3 + sqrt(272) + 0) + 4))**2.
408*sqrt(17) + 2737
Simplify ((-3 + (5 + -1*(sqrt(125) + -3)*-5)*-4 + -5)*-1)**2.
-6400*sqrt(5) + 51024
Simplify (((sqrt(1872) + -4)*-5 - sqrt(1872)) + (-2*sqrt(1872) - sqrt(1872))*-5 + 5 + (sqrt(1872) - 6*(sqrt(1872) + 2)) + 4)**2.
1632*sqrt(13) + 30241
Simplify (-2 + (sqrt(208) - (-5 + 4*sqrt(208))) + 5)**2 + (sqrt(208) - (5 + sqrt(208))*-4 - (1 + sqrt(208)*-1))**2.
720*sqrt(13) + 9785
Simplify (sqrt(420)/(5*sqrt(12)) + sqrt(35) - (sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175)*-1 + sqrt(175))/sqrt(5))/(6*3*sqrt(343)*6).
-sqrt(5)/420
Simplify (-6*sqrt(6)/sqrt(2) + (sqrt(66)/sqrt(2))/sqrt(11))**2*-2 + (sqrt(63)/sqrt(108))/(sqrt(77)/sqrt(99)).
-150 + sqrt(3)/2
Simplify -5*-5*((2*sqrt(567) + 3 - sqrt(567))**2 + (sqrt(567) + 3*sqrt(567)*5 - sqrt(567))**2) + 4.
1350*sqrt(7) + 3203779
Simplify 0 + (sqrt(49)/(sqrt(21)/sqrt(3)) - (sqrt(7) + (-2 + sqrt(7) + 3 - sqrt(7)))) + (6*(sqrt(7) - (sqrt(7) - (3 + sqrt(7)))) - sqrt(84)/(3*sqrt(12))).
17*sqrt(7)/3 + 17
Simplify (sqrt(336)/(sqrt(108) - sqrt(12))*-6 + 3*4*sqrt(28) + -4)*-5.
-90*sqrt(7) + 20
Simplify (sqrt(176) - (-3*sqrt(176) + 5)) + sqrt(176) + -1 + sqrt(176) + 4 - ((1*(sqrt(176) + -3*sqrt(176)*-2))**2 + 1).
-8627 + 24*sqrt(11)
Simplify 2*sqrt(1200)/sqrt(4) + (5 + 1*sqrt(432) - (-2 + 1*sqrt(432))**2).
-431 + 80*sqrt(3)
Simplify ((-2*sqrt(88) - sqrt(88))*2)/(sqrt(72)*4 - sqrt(8)) - (-5*((2*sqrt(99) + sqrt(99) + sqrt(99))*5)/sqrt(9))**2*-4.
-6*sqrt(11)/11 + 440000
Simplify ((sqrt(847) - (sqrt(847) + 3 + 0))*-4 + -1 + 0 + -3)**2*-1.
-64
Simplify ((2*sqrt(189))/sqrt(9) + 1*(sqrt(84)/sqrt(4) - sqrt(21)))/(sqrt(252)*-2).
-sqrt(3)/6
Simplify 3 + sqrt(1216) + (0 + sqrt(1216))**2 + ((1 + sqrt(1216))*4)**2 + -2*(4 + -6*sqrt(684))**2.
-28589 + 840*sqrt(19)
Simplify ((sqrt(112)*2 + -2)*5)**2 + 1 + 1 + sqrt(28) + sqrt(2800) + -1 + 5*(sqrt(28) - (-1 + sqrt(28) + sqrt(28))).
-788*sqrt(7) + 11306
Simplify (3*(-3*1*(1*(-1 + sqrt(272) - sqrt(272)) + -3) + -2))**2.
900
Simplify 3 + 0 + -1*(1*(sqrt(425)*-4 - sqrt(425)))**2 + (-4 + -2*sqrt(425))*-6.
-10598 + 60*sqrt(17)
Simplify ((sqrt(280)/(sqrt(7) - (sqrt(7) + sqrt(28)/sqrt(4))))/(sqrt(160)*-1))/(2*sqrt(126)/(sqrt(42)/sqrt(6))).
sqrt(2)/24
Simplify (3 + 5 + sqrt(539) + 0 + -3 + sqrt(539)*-3 + -1)**2 + -1.
-112*sqrt(11) + 2171
Simplify (((3*sqrt(133)*-2 - -6*sqrt(133)*2)*3)/((-2*(sqrt(35) + sqrt(105)/sqrt(3) - sqrt(35)))/(-6*sqrt(10)/sqrt(2))))**2.
55404
Simplify (-4*sqrt(726)*2*-4)/(sqrt(2)*-3*-4 - (sqrt(2) + (sqrt(50) - sqrt(450)))).
352*sqrt(3)/21
Simplify -4*((-2*(sqrt(6)/sqrt(2)*-6 + 0))**2 + (3*sqrt(192))**2*2*-5).
67392
Simplify (-5*3*(sqrt(1029) + 2*sqrt(1029)))/(4*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) - (sqrt(1008) + sqrt(1008)*1*5)) - sqrt(1008)))).
-35*sqrt(3)/32
Simplify (sqrt(21) - -6*sqrt(42)/sqrt(2))/sqrt(700) - (sqrt(108)*1*3 - (sqrt(108) + -6*(-2 + sqrt(108)))).
-473*sqrt(3)/10 + 12
Simplify ((-5 + 0 + -2*sqrt(243) + 0 + (-3 + -1 + sqrt(243) - (2 + sqrt(243) + -2)))*-3)**2.
2916*sqrt(3) + 9477
Simplify -5 + sqrt(3)*2 + (sqrt(6) - (sqrt(12)/sqrt(2) + sqrt(6)))/sqrt(2) - (sqrt(66)/(sqrt(11)*2))/(-4*sqrt(8)/sqrt(4)).
-5 + 9*sqrt(3)/8
Simplify -3*(-2*(1*-1*(-1 + sqrt(147)))**2 + -1)*-5.
-4455 + 420*sqrt(3)
Simplify (-6*(sqrt(2448) - (sqrt(2448)*-2 - sqrt(2448) - sqrt(2448))) - -1*(sqrt(2448) + -3))**2 + -2 + 4*sqrt(2448)*-1*-4.
2280*sqrt(17) + 2058775
Simplify (-3*sqrt(33)*-3*3)/(sqrt(147) + (3*sqrt(147) + sqrt(147))*4 - sqrt(147)).
27*sqrt(11)/112
Simplify (-5*(-4 + -3 + 5*((sqrt(1900) - (sqrt(1900) - (-1*sqrt(1900) - sqrt(1900)))) + 0 + (-2 + sqrt(1900))*6)*-4))**2.
-9320000*sqrt(19) + 305357225
Simplify 1 + ((-2 + 2*sqrt(891) - (-1*sqrt(891)*1 - sqrt(891))) + (3 + -2 + sqrt(891))*-2)**2.
-144*sqrt(11) + 3581
Simplify (4 + (2 + 4*(2*sqrt(8)*2)/((sqrt(4) + sqrt(64))*4))**2)*-6.
-1392/25 - 96*sqrt(2)/5
Simplify (sqrt(320) - 3*2*sqrt(320) - sqrt(320) - (sqrt(320) - (sqrt(320) - (sqrt(320) - (1 + sqrt(320) + 4))) - sqrt(320)) - (0 + -3*-5*sqrt(320)*-2))**2.
2000*sqrt(5) + 200025
Simplify ((4 + (sqrt(405)*-2 - sqrt(405)) - sqrt(405))**2 - sqrt(405)) + 4 + (-4*sqrt(405))**2 - (-1*sqrt(405) + 1 + sqrt(405) - (sqrt(405)*-4 + 1)).
-333*sqrt(5) + 12980
Simplify (-3*(1*sqrt(288)*1*1 + -6*-1*sqrt(288) + sqrt(288) + 0 + sqrt(288) + -2)*4)**2.
-62208*sqrt(2) + 3359808
Simplify (6*(-1 + sqrt(125)) - (sqrt(125) + 6*(sqrt(125) + -2*sqrt(125)) - sqrt(125)) - (1 + (sqrt(50) + (-6*-1*sqrt(50) - sqrt(50)))/sqrt(10)))**2.
-756*sqrt(5) + 14629
Simplify (((sqrt(125) - (sqrt(125) + 0 + 5))*-2 + 5 + -5)*2)**2 + 4 + 1.
405
Simplify (sqrt(88) + (sqrt(88) - 6*(-2*sqrt(88) - sqrt(88))) + sqrt(88) + (2*sqrt(88) - sqrt(88))*4)/(sqrt(200)*2*-3)*1.
-5*sqrt(11)/6
Simplify 1 + sqrt(60)/(sqrt(3) + sqrt(75) + sqrt(3)) - -6*-1*sqrt(500)*4.
-1678*sqrt(5)/7 + 1
Simplify 5*((sqrt(44) - sqrt(396)/(sqrt(9)*-2)) + (1*sqrt(308))/sqrt(7))/(sqrt(44)/(sqrt(44)/sqrt(64))).
25*sqrt(11)/8
Simplify ((sqrt(1344) + sqrt(1344)*-1 - 6*(sqrt(21) + sqrt(42)/sqrt(2)))*-2)/(3*3*(sqrt(18)/sqrt(2))/sqrt(3))*1.
8*sqrt(7)/3
Simplify (((sqrt(432) - (sqrt(432) + -1))**2 + sqrt(24)/(sqrt(8)*2 - sqrt(8)))*2 + ((sqrt(3) - sqrt(9)/sqrt(3))*5 - (-2 + sqrt(3) + -1)))*4.
4*sqrt(3) + 20
Simplify (sqrt(102)*2*5 - (sqrt(102) - (sqrt(102) + -2*sqrt(102)*1)))/(-1*(sqrt(294)*-2 + sqrt(294) + sqrt(726)*2))*-4.
32*sqrt(17)/15
Simplify (3*-6*5*6*((sqrt(325) - (2 + sqrt(325) - sqrt(325))) + -2 + 1*(sqrt(325)*1 + sqrt(325) - sqrt(325))))**2.
-23328000*sqrt(13) + 383745600
Simplify (3 + sqrt(1700)*1 + sqrt(1700) + sqrt(1700)*-3*-5 - (4*(-2 + sqrt(1700) + sqrt(1700)) - (-3 + -4*sqrt(1700))))**2.
800*sqrt(17) + 42564
Simplify -6*((-2 + 1 + sqrt(272) + 1 + 2)**2 + 3) + -4.
-1678 - 96*sqrt(17)
Simplify ((-1*-1*sqrt(100))/(sqrt(12)/(sqrt(12)/sqrt(2))))/(4*-3*1*sqrt(1210)).
-sqrt(5)/132
Simplify -1 + (-2*sqrt(2880) - ((sqrt(20) + sqrt(5))*-1 + 0 + sqrt(5) + -2)) + 3.
-46*sqrt(5) + 4
Simplify (-4*(sqrt(22) + sqrt(22) + (-1*sqrt(352) - sqrt(352)) - sqrt(2662)*-2))/((sqrt(242) - (sqrt(242) + 2*sqrt(242)*-1))*2).
-16*sqrt(11)/11
Simplify ((sqrt(1331) + -1)*-3 + (-1*sqrt(1331) + -1 + sqrt(1331) - sqrt(1331)) + (-3*sqrt(44) - sqrt(110)/sqrt(40)) + 2 + 0)**2.
-404*sqrt(11) + 112275/4
Simplify (-4*((sqrt(208) + sqrt(208)*1 + 3 - (sqrt(208)*2 + -1)) + ((sqrt(208)*-2 + sqrt(208))*-2 - -5*(sqrt(208) + sqrt(208) + -1 + sqrt(208))))*2)**2.
-8704*sqrt(13) + 3847232
Simplify (-6*-5*(-1*sqrt(315) + sqrt(315)))/(-1*(((sqrt(35) + sqrt(140))/sqrt(7) - sqrt(5)) + sqrt(5) + sqrt(5) - sqrt(30)/(sqrt(12)/sqrt(2)))).
0
Simplify ((-6*sqrt(187)*-1 - sqrt(187)) + -5*(sqrt(187)*-2 - sqrt(187)))/(3*(sqrt(66)*1)/sqrt(6)).
20*sqrt(17)/3
Simplify 4 + -1*((1 + sqrt(75) + 2*sqrt(75))**2 + 5 - (sqrt(75) - (sqrt(75) + -1*sqrt(75))**2*-4)*-3).
-677 - 45*sqrt(3)
Simplify ((1*sqrt(960)*-3)/(3*sqrt(18)/sqrt(6)*-4)*3)**2.
180
Simplify (4*((sqrt(125) - (sqrt(125) + -2 + sqrt(125) - sqrt(125))) + -5) + (sqrt(20)*3)/sqrt(4) + sqrt(60)/(-4*sqrt(12)))**2.
-66*sqrt(5) + 2909/16
Simplify ((3*(sqrt(77) - sqrt(77)*2)*3*3)/(2*(sqrt(1331) - (1*sqrt(1331) - sqrt(1331))*-5)))**2.
5103/484
Simplify (1*-6*(sqrt(1216) + 2*sqrt(1216)*-4 + 4 + -1 + sqrt(1216) + 3))**2 + 1.
-20736*sqrt(19) + 1577233
Simplify 3 + ((0 + sqrt(112) + -4 + 1*sqrt(112)*2 + (sqrt(112) - ((sqrt(112) + -2)*2 - sqrt(112)))*1)*-5)**2.
25203
Simplify ((sqrt(297)*1)/(sqrt(33)/sqrt(3)*-3 + sqrt(11)))**2 - 3*(sqrt(192) + -5*(sqrt(192) + -2))**2.
-38037/4 + 1920*sqrt(3)
Simplify (-4*(sqrt(4212) + (sqrt(4212) - -1*sqrt(4212)) + sqrt(4212)) + -1*sqrt(4212)*6 + sqrt(4212) + sqrt(4212))/((-2*sqrt(20)*1)/(sqrt(80)*1)).
360*sqrt(13)
Simplify (sqrt(189 | {
"pile_set_name": "DM Mathematics"
} |
dps?
-0.0002
Let y be (37201 - (2 + -1)) + -1. Suppose -17 = -3*i - 5. Suppose 3*m - 2*m + 2*d = -9298, i*m + y = -d. What is m rounded to the nearest one thousand?
-9000
Suppose 5*g - 902 = -6*g. What is g rounded to the nearest 10?
80
Let p = -2.67 - -0.27. Round p to the nearest integer.
-2
Let l = 411007 + 617000. Let v = 458007 - l. What is v rounded to the nearest 100000?
-600000
Let z be 2*1 + -7 + 6. Suppose -x + z = -0*x. Let b be 15000/9*24/x. Round b to the nearest one hundred thousand.
0
Let l = 0.04 + 0.02. Let x = 46 - 45.969. Let b = l - x. Round b to 2 dps.
0.03
Let b = 1.696 - 0.001. Let r = 0.045 - b. Round r to one decimal place.
-1.7
Suppose -5*b + 87510 = -2*o, 2*b + 2*b = -2*o - 87492. Let h be o/(-7)*1904/(-1). Round h to the nearest 1000000.
-12000000
Let q = 8 + -5. Suppose q*c + 470000 = 4*c. What is c rounded to the nearest one hundred thousand?
500000
Let v = 0.5 + -2. Let d = 1.3 + v. Round d to zero decimal places.
0
Let g(w) = 56*w**2 - 8*w - 10. Let p be g(5). Round p to the nearest 100.
1400
Suppose -5*c + 4*c - 340 = 0. Round c to the nearest 100.
-300
Let h = 8909 - 12609. What is h rounded to the nearest one thousand?
-4000
Let a = 28.999936 - 29. Round a to 5 decimal places.
-0.00006
Let v = -20 + 8.9. Let l = 27.4 + v. Round l to the nearest integer.
16
Let m = 0.361 - 0.32. Round m to two dps.
0.04
Suppose 4*x - m = m + 38, 2*x = -2*m + 4. Suppose 0 = -x*p + 4*p + 540. What is p rounded to the nearest 100?
200
Suppose 2*f = 487 + 329. Let k = f + 182. What is k rounded to the nearest 100?
600
Let t = 39341.163993 + -39339.26. Let v = t + -5.9039798. Let f = v - -4. Round f to 6 decimal places.
0.000013
Let p = -61622.973 - -61597. Let h = 26 + p. Round h to two decimal places.
0.03
Let u(a) = 26*a**2 + 24*a - 40. Let t be u(16). What is t rounded to the nearest 10000?
10000
Let j = -24 - -22. Let c = 7 - 4. Let f be (-153006)/(-9)*c + j. What is f rounded to the nearest 10000?
50000
Let d be 1 - 3 - (2 + -649). Let l = 55 + d. What is l rounded to the nearest one thousand?
1000
Suppose 4*b - 14 - 6 = 0. Suppose -g = -2*z - 20 + 115, b*z - 5*g - 250 = 0. What is z rounded to the nearest ten?
50
Let q(s) = -1999*s**3 - s**2. Let i be q(1). What is i rounded to the nearest ten thousand?
0
Let j = -160089526579.99908 + 160086614793. Let w = -2911844 - j. Let z = -57 - w. Round z to 4 dps.
0.0009
Let o = 14.452 - -0.048. Let m = -22 + o. What is m rounded to the nearest integer?
-8
Let w = -23.6 - -34.5. Round w to the nearest integer.
11
Suppose 4*g - 25 = -g. Suppose -a = -0*a - g. Suppose a*m = 0, q = -0*q - 3*m + 77. Round q to the nearest ten.
80
Let x be -2 - ((-3)/18 + 100800033/(-18)). Round x to the nearest one million.
6000000
Let k = -64.0007 + -0.1493. Let s = k + 1.15. Let w = 62.9961 + s. What is w rounded to 3 decimal places?
-0.004
Suppose 5*k + 31 = -2*z - 18, 5*z - k + 109 = 0. Let g = z + 12. Let a be 4000*25*g/2. What is a rounded to the nearest one million?
-1000000
Suppose -59 = -3*g + 178. Round g to the nearest ten.
80
Suppose 0 = 5*w + 3*d + d + 19400000, 0 = -5*d. What is w rounded to the nearest one million?
-4000000
Let m be (1984/40)/((-6)/75). Round m to the nearest one hundred.
-600
Let s = 41.9915 + -42. What is s rounded to 3 decimal places?
-0.009
Let l = -1.10065 + 1.1. Round l to 4 decimal places.
-0.0007
Let d = -1671 - -1671.10005. Let x = 8.1 + -8. Let c = d - x. What is c rounded to 5 dps?
0.00005
Suppose -445991 = 3*f - s - 1765992, 0 = f - 3*s - 440003. What is f rounded to the nearest one hundred thousand?
400000
Suppose 3*v - 36 = -v. What is v rounded to 0 decimal places?
9
Let m = 1832732.81 + -1832735.71000062. Let g = 2.9 + m. What is g rounded to seven decimal places?
-0.0000006
Let n = -1.66 + 1.659858. What is n rounded to five dps?
-0.00014
Suppose 3*q + 1 = 2*x, -4*x = -5*q - x. Suppose 0*g = q*g. Suppose g = -5*r - 16377 - 8123. What is r rounded to the nearest one thousand?
-5000
Let d = 322 + -323.41. Round d to 1 dp.
-1.4
Let y = 0.13 + -2.13. Let v = 2.0000052 + y. Round v to 6 decimal places.
0.000005
Let f = -227 - -162. Let c = 16065 + f. What is c rounded to the nearest ten thousand?
20000
Let t(o) be the second derivative of -232637*o**4/12 - o**3/2 + 2*o**2 + o. Let v be t(4). Let k = v + 1322200. What is k rounded to the nearest one million?
-2000000
Let f(b) = 263*b**3 - 5*b**2 + 4*b + 4. Let c be f(7). Suppose a - 5*v = -a - 35990, -c = 5*a - 2*v. Round a to the nearest 10000.
-20000
Suppose 1513 = 4*u + 237. Suppose 10 = t - 4*q - 146, q + u = 2*t. What is t rounded to the nearest one hundred?
200
Let m = -2 - -1.91. Let f = m - -0.08982. What is f rounded to 4 dps?
-0.0002
Let t = -2.2 + 2.19999948. What is t rounded to 7 decimal places?
-0.0000005
Let h = 18 - 13. Let o be 6/(1/(h/(-2))). Let k be 13494/o + 4/(-10). What is k rounded to the nearest 1000?
-1000
Let l = -0.049 - -0.049151. What is l rounded to five decimal places?
0.00015
Suppose 0 = -2*f - 2*s - 6, 4*s + 10 = -5*f - 0*f. Suppose 2*o - 14 = -f. Let h be (-116997)/(-18) - (-1)/o. What is h rounded to the nearest 1000?
7000
Let a = -1.09 - -12.29. Let r = -43.8 - a. Let m = -55.00066 - r. Round m to 4 dps.
-0.0007
Let x = -118.778 + 119. Round x to 2 decimal places.
0.22
Let r = 0.3 + 0. Let y = -0.2 + r. Let j = y - 0.100005. Round j to 6 decimal places.
-0.000005
Suppose 3*c - 424 - 293 = 0. Round c to the nearest 10.
240
Let i = 141 + -129.4. What is i rounded to the nearest ten?
10
Let j(z) = 6*z + 8. Let t(h) = h. Let q(f) = -j(f) - 3*t(f). Let c = -16 - -22. Let r be q(c). What is r rounded to the nearest ten?
-60
Let g = -5.34 + -0.16. Let c = -17.2 - g. Let y = 11.7094 + c. What is y rounded to three dps?
0.009
Let p = 29 - 28.81. Let v = p - 0.189993. What is v rounded to 5 dps?
0.00001
Let c = -0.5 - -0.50008. Round c to four decimal places.
0.0001
Let t = 8.6 + -8.6356. What is t rounded to 3 dps?
-0.036
Let h = -6862 + 13295. Suppose 0 = -5*a + 4*t + h + 8063, -2*a = 3*t - 5803. Round a to the nearest 1000.
3000
Let m = 484 + -484.00000343. Round m to 7 decimal places.
-0.0000034
Suppose 5*x + 4*l + l = 1560005, -l + 1 = 0. Suppose -3*r + 7*r = -x. What is r rounded to the nearest 10000?
-80000
Let p = 1007676.93000056 + -1007677. Let u = p - -0.07. Round u to seven decimal places.
0.0000006
Let g = 32342 - -171116. Suppose -5*u = -g - 331542. Round u to the nearest 10000.
110000
Let m = -6 + -13. Let w = -18.9999976 - m. Round w to 6 decimal places.
0.000002
Let k be (-2)/(-6) - (-184500003)/(-9). What is k rounded to the nearest one million?
-21000000
Let m = 4.86191072 - 3.612. Let a = m + -104.24981272. Let h = 103 + a. Round h to five dps.
0.0001
Let g be (-8 + 2)/(6/(-8)). Let d be (-1)/4 - 5118/g. Round d to the nearest 100.
-600
Let v = -24 + 24.011. Let s = v + -0.04. Round s to 2 decimal places.
-0.03
Let k = -0.12 - -0.1197. What is k rounded to 4 dps?
-0.0003
Let y = -705 - -705.1023. What is y rounded to two decimal places?
0.1
Let y = 3 + 10. Let w = -8 + y. Let o be (112*w)/(4/350). Round o to the nearest ten thousand.
50000
Let h = -10.4 + -41.6. Let c = -424111 + 424059.0094. Let p = c - h. What is p rounded to 3 decimal places?
0.009
Suppose -3*u + 3 = 981. Let o = -544 - u. Round o to the nearest ten.
-220
Let w = -13 - -12.965. Let z = 0.154 + -0.15. Let t = z - w. Round t to 2 decimal places.
0.04
Let j = 89 - 88.9931. What is j rounded to 3 decimal places?
0.007
Let m = 27619.253 - 27605. Let u = m + -14.304134. Let i = u - -0.051. What is i rounded to 5 dps?
-0.00013
Suppose -2*j + 22 = -j - 2*k, 3*j - 88 = -5*k. Suppose 4*a = -98 + j. What is a rounded to the nearest 10?
-20
Let c = 4522.3 - 4255. Let p = -257 + c. What is p rounded to the nearest integer?
10
Suppose 3*y = -v + 104, 0*y + 16 = -4*y. Round v to the nearest 10.
120
Suppose 0 = -l - 4, r + 0*l + 17 = -5*l. Suppose r*v - 12 = 0, 0 = -7*b + 3*b - 2*v + 8248. Round b to the nearest one hundred.
2100
Suppose 0 = 2*k + 8, 4*k = o + 2*o - 1887946. Suppose 3*h - o + 176256 = 0. Suppose -v - h = -7018. Round v to the nearest ten thousand.
-140000
Let m = 2509082501.00000046 - 2509082550. Let h = m + 49. Round h to 7 dps.
0.0000005
Let i = 0.047 - 0.0361. What is i rounded to three d | {
"pile_set_name": "DM Mathematics"
} |
, 8231
List the prime factors of 6986115.
3, 5, 51749
What are the prime factors of 2864966?
2, 13, 101, 1091
What are the prime factors of 203973?
3, 7, 11, 883
What are the prime factors of 14229027?
3, 97, 1811
List the prime factors of 354592.
2, 7, 1583
List the prime factors of 30737986.
2, 53, 409, 709
What are the prime factors of 148947?
3, 131, 379
List the prime factors of 68978.
2, 7, 13, 379
What are the prime factors of 9101350?
2, 5, 182027
List the prime factors of 896608.
2, 28019
What are the prime factors of 5858302?
2, 17, 53, 3251
What are the prime factors of 1601360?
2, 5, 37, 541
List the prime factors of 2058507.
3, 11, 29, 239
What are the prime factors of 21240304?
2, 223, 5953
What are the prime factors of 4061290?
2, 5, 103, 3943
What are the prime factors of 7422787?
19, 390673
List the prime factors of 3268941.
3, 13, 79, 1061
List the prime factors of 484514.
2, 242257
List the prime factors of 965339.
131, 7369
List the prime factors of 113348.
2, 43, 659
What are the prime factors of 64369?
59, 1091
What are the prime factors of 1426?
2, 23, 31
What are the prime factors of 2378262?
2, 3, 396377
List the prime factors of 7272837.
3, 11, 13, 5651
List the prime factors of 977583.
3, 325861
What are the prime factors of 24351078?
2, 3, 61, 66533
List the prime factors of 14777948.
2, 31, 37, 3221
List the prime factors of 431236.
2, 13, 8293
List the prime factors of 3612361.
523, 6907
List the prime factors of 1646733.
3, 11, 139, 359
List the prime factors of 13915297.
11, 67, 79, 239
What are the prime factors of 247634?
2, 123817
List the prime factors of 2214077.
2214077
List the prime factors of 188852.
2, 31, 1523
List the prime factors of 78753.
3, 26251
What are the prime factors of 5180440?
2, 5, 67, 1933
What are the prime factors of 1360355?
5, 73, 3727
List the prime factors of 2702912.
2, 157, 269
What are the prime factors of 33856601?
29, 1167469
List the prime factors of 764150.
2, 5, 17, 29, 31
What are the prime factors of 654909?
3, 199, 1097
What are the prime factors of 454646?
2, 31, 7333
List the prime factors of 36303.
3, 12101
What are the prime factors of 10718276?
2, 23, 113, 1031
List the prime factors of 1459165.
5, 291833
What are the prime factors of 1031813?
1031813
List the prime factors of 1423227.
3, 13, 36493
List the prime factors of 1665158.
2, 11, 75689
What are the prime factors of 171965?
5, 163, 211
List the prime factors of 18198530.
2, 5, 7, 499, 521
List the prime factors of 1574266.
2, 547, 1439
What are the prime factors of 1187196?
2, 3, 19, 41, 127
List the prime factors of 14978273.
443, 33811
List the prime factors of 16419460.
2, 5, 31, 71, 373
What are the prime factors of 2635312?
2, 164707
List the prime factors of 13811325.
3, 5, 11, 16741
List the prime factors of 528639.
3, 176213
What are the prime factors of 3123831?
3, 41, 109, 233
What are the prime factors of 8403463?
127, 66169
What are the prime factors of 23018329?
19, 37, 137, 239
List the prime factors of 2375434.
2, 1187717
What are the prime factors of 16354580?
2, 5, 11, 79, 941
What are the prime factors of 375592?
2, 7, 19, 353
What are the prime factors of 5169650?
2, 5, 103393
What are the prime factors of 1954632?
2, 3, 23, 3541
List the prime factors of 1582523.
61, 25943
List the prime factors of 10737186.
2, 3, 43, 41617
What are the prime factors of 68175?
3, 5, 101
What are the prime factors of 167661?
3, 13, 1433
What are the prime factors of 1233221?
11, 112111
What are the prime factors of 1667446?
2, 11, 75793
List the prime factors of 406997.
17, 89, 269
What are the prime factors of 265189?
509, 521
What are the prime factors of 562200?
2, 3, 5, 937
List the prime factors of 142282.
2, 7, 10163
List the prime factors of 4686819.
3, 73, 21401
List the prime factors of 1609534.
2, 804767
List the prime factors of 331191.
3, 7, 751
List the prime factors of 25582279.
23, 1112273
What are the prime factors of 280655?
5, 56131
What are the prime factors of 1070417?
1070417
List the prime factors of 6473815.
5, 29, 44647
List the prime factors of 1217330.
2, 5, 19, 43, 149
What are the prime factors of 7788559?
23, 29, 11677
List the prime factors of 8279450.
2, 5, 165589
What are the prime factors of 116460?
2, 3, 5, 647
What are the prime factors of 11187100?
2, 5, 111871
List the prime factors of 4331756.
2, 11, 13, 7573
What are the prime factors of 19900576?
2, 621893
What are the prime factors of 426004?
2, 106501
What are the prime factors of 510310?
2, 5, 51031
List the prime factors of 273259.
7, 103, 379
What are the prime factors of 30382141?
30382141
What are the prime factors of 10675644?
2, 3, 7, 19, 6689
List the prime factors of 288110.
2, 5, 47, 613
List the prime factors of 33598806.
2, 3, 103, 54367
What are the prime factors of 132212?
2, 33053
What are the prime factors of 465895?
5, 93179
What are the prime factors of 6486440?
2, 5, 31, 5231
List the prime factors of 251311.
17, 14783
What are the prime factors of 172664?
2, 113, 191
List the prime factors of 9010909.
29, 310721
List the prime factors of 10444140.
2, 3, 5, 7, 307
What are the prime factors of 3809648?
2, 238103
List the prime factors of 525431.
525431
List the prime factors of 8360628.
2, 3, 696719
List the prime factors of 1454173.
7, 59, 503
List the prime factors of 222593.
7, 31799
What are the prime factors of 2760048?
2, 3, 6389
What are the prime factors of 5606889?
3, 17, 29, 223
What are the prime factors of 26517226?
2, 13258613
What are the prime factors of 231280?
2, 5, 7, 59
What are the prime factors of 6394559?
6394559
List the prime factors of 101710.
2, 5, 7, 1453
What are the prime factors of 2882846?
2, 1441423
List the prime factors of 9745515.
3, 5, 13, 617
List the prime factors of 3862350.
2, 3, 5, 2861
What are the prime factors of 459910?
2, 5, 11, 37, 113
What are the prime factors of 4889646?
2, 3, 10061
What are the prime factors of 2250018?
2, 3, 17, 19, 43
List the prime factors of 282624.
2, 3, 23
List the prime factors of 686226.
2, 3, 114371
List the prime factors of 1089880.
2, 5, 11, 2477
What are the prime factors of 147202?
2, 11, 6691
What are the prime factors of 664398?
2, 3, 7, 5273
List the prime factors of 1186877.
61, 19457
List the prime factors of 9566573.
137, 69829
What are the prime factors of 4292716?
2, 751, 1429
What are the prime factors of 509801?
509801
List the prime factors of 10910369.
359, 30391
What are the prime factors of 2085469?
2085469
What are the prime factors of 882920?
2, 5, 22073
List the prime factors of 30313122.
2, 3, 7, 127, 5683
What are the prime factors of 359102?
2, 409, 439
What are the prime factors of 194404?
2, 7, 53, 131
What are the prime factors of 3644013?
3, 1214671
What are the prime factors of 1575795?
3, 5, 13, 8081
What are the prime factors of 9453488?
2, 11, 19, 257
What are the prime factors of 679933?
679933
List the prime factors of 135554.
2, 67777
What are the prime factors of 320901?
3, 7, 37, 59
What are the prime factors of 328672?
2, 10271
What are the prime factors of 3018698?
2, 1109, 1361
List the prime factors of 8527411.
23, 499, 743
What are the prime factors of 8857669?
8857669
What are the prime factors of 12191584?
2, 17, 73, 307
List the prime factors of 166427.
47, 3541
List the prime factors of 166187.
7, 23741
What are the prime factors of 15187917?
3, 41, 123479
What are the prime factors of 2823705?
3, 5, 131, 479
List the prime factors of 731552.
2, 22861
List the prime factors of 2482541.
241, 10301
What are the prime factors of 144382?
2, 7, 10313
List the prime factors of 4256327.
4256327
What are the prime factors of 2129545?
5, 11, 31, 1249
List the prime factors of 693366.
2, 3, 115561
List the prime factors of 1744654.
2, 53, 109, 151
List the prime factors of 17358654.
2, 3, 283, 10223
What are the prime factors of 2285072?
2, 17, 31, 271
What are the prime factors of 5101417?
5101417
List the prime factors of 9232337.
9232337
List the prime factors of 815297.
7, 116471
List the prime factors of 2726820.
2, 3, 5, 15149
List the prime factors of 1771455.
3, 5, 7, 16871
What are the prime factors of 113195?
5, 22639
List the prime factors of 432183.
3, 144061
What ar | {
"pile_set_name": "DM Mathematics"
} |
, -4*l + 3*i = -180034. Is l a composite number?
False
Let w(d) = 113170*d - 1023. Is w(7) composite?
True
Suppose 0 = 20*j - 8*j. Suppose j = -8*k + 17*k - 16155. Is k a composite number?
True
Let p = 133 + -2673. Let a = -1741 - p. Is a prime?
False
Let d be (2 - 27)*((-278)/10 + -5). Suppose -154 + d = 6*f. Let a = f - -932. Is a prime?
False
Let i = -5107 + 108690. Is i prime?
True
Let f = -40 + 41. Suppose -x - f = 2*w + 4*x, w - 7 = 5*x. Suppose -w*o - g + 160 = 14, g + 209 = 3*o. Is o a composite number?
False
Let u = -75 + 77. Suppose 2*q = 4, -3*v = u*v - 2*q + 4. Suppose -p + 5*w + 177 = 0, 5*p + 4*w - 8*w - 927 = v. Is p a prime number?
False
Suppose 7*g = -k + 3*g - 3, 5*g + 5 = -k. Is 908 - (k - (0 + 4)) a composite number?
False
Suppose 4*q = -5*a - 8, -2*q - q = -4*a + 6. Let f(z) = z**2 + 5*z + 3. Let t be f(a). Suppose t*b + 6665 = 3*o + 494, 5*o - 10291 = 2*b. Is o prime?
False
Let k = 237 + -26. Let r(a) = a**3 - 9*a**2 + 13*a + 3. Let g be r(7). Is (k/g)/((-12)/48) a prime number?
True
Let n(y) = -y**3 + 16*y**2 - 15*y + 9. Let x be n(15). Suppose -2*a = 4*i - 2942, x*i = 3*a + 14*i - 4413. Is a prime?
True
Let k be (4/10)/(8*8/640). Suppose 3*b + 2*q = k*q + 46, 3*b = -5*q + 11. Suppose b*t - 19811 = t. Is t composite?
False
Let d(u) = 249*u**3 + 15*u**2 - 10*u + 11. Let y(q) = 125*q**3 + 7*q**2 - 5*q + 5. Let l(c) = -2*d(c) + 5*y(c). Is l(4) a composite number?
False
Suppose -o + 2*b = 0, -14 = -3*o - 4*b + 3*b. Suppose 4*k = 4*t + 5408, 4*k - o*t - 5412 = t. Let f = -837 + k. Is f prime?
False
Let a = -33 + 37. Suppose -a*j = -22 + 10. Suppose 0 = -p + j*p - 794. Is p a composite number?
False
Suppose -s = s - 4. Let p = -160 - -169. Suppose h + s = p. Is h a composite number?
False
Suppose 2*c - 15785 = -5*m, 2*c - 300 = -m + 2857. Suppose 20*y = -11*y + 46562. Let f = m - y. Is f a prime number?
False
Suppose -5*r = 2*p - 124641, -34*p + 32*p + 124686 = -4*r. Is p a prime number?
False
Let h be ((-2)/(-10))/((-3)/15). Let w be 0 + 1 + (1 - 2)/h. Suppose p + 3*b + 2*b = 277, 5*b - 534 = -w*p. Is p a prime number?
True
Is (-1621784)/(-518) + (-1)/(-7) composite?
True
Let k(q) = 227*q - 3. Let d be 46/(-10) + (-2)/5. Let u be k(d). Let t = u - -2289. Is t composite?
False
Suppose -4*n = 7*n - 44. Suppose -3*q - q + 12901 = w, -12871 = -n*q + 5*w. Suppose -j = 5*i - q, -5*i = -14 - 11. Is j prime?
False
Let t(x) = -x**2 - 2*x + 15. Let f be -1*(12/3 - 4). Let s be t(f). Is 7986/10 + (-2)/s*-3 a prime number?
False
Let c(n) = -n**3 + 8*n**2 - 7*n + 7. Let w be c(7). Suppose -9*d = -w*d. Suppose -3*t + t + 314 = d. Is t composite?
False
Let j(z) = -2*z**3 - 15*z**2 - 2*z - 10. Let o be j(-11). Suppose -y - 3*c - 4 = 0, 0*c = -y + c + 12. Suppose -y*b + o = -829. Is b composite?
False
Let v(a) = 7*a**2 + 3*a - 20. Let q be v(-6). Let s be 4/(-6)*3 - 31. Let d = s + q. Is d a prime number?
True
Let k be 8*(1 - 15/20). Suppose 12 = 4*v - 4*d, d + k - 17 = -5*v. Suppose f = m - v*m + 2248, 9012 = 4*f + 4*m. Is f composite?
True
Let a(o) = -o**3 + 62*o**2 + 2*o - 422. Is a(57) composite?
False
Is -8*((-113102513)/(-136))/(-43) a composite number?
False
Let b = -119 + 131. Suppose 4*d + 5*x - 7403 = 0, b*d - 16*d + 5*x = -7373. Is d prime?
True
Suppose 3*x = 8*x + 2*k - 15514, 5*x - 2*k = 15506. Let j = 17 + -14. Suppose -3*z + x = j*z. Is z composite?
True
Let t(n) = -28016*n + 467. Is t(-7) a prime number?
True
Let f = -76943 - -261097. Is f composite?
True
Let p(w) = 9*w**2 - 1151*w - 11. Is p(-38) composite?
True
Suppose -115*w + 28320767 = -56*w. Is w a composite number?
False
Suppose 2082317 = -2246*y + 2299*y. Is y prime?
False
Suppose -6*j + 16 = -3*t - 7*j, -5*t = 3*j + 32. Is 65025/17 + 1*t a prime number?
True
Let a(x) = -161*x - 25. Let r be (375/10 - -2)*-2. Let m = r - -73. Is a(m) composite?
False
Suppose 2*n - 2*t + 5 = -5*t, -2*t = -6. Is n/((-7)/(-49094))*(-9)/18 a composite number?
False
Let r(j) = -j**3 + 6*j**2 + 7*j + 13. Let p be r(7). Suppose -26882 = p*a - 7733. Let n = -490 - a. Is n prime?
True
Let m(j) = j**3 + 21*j**2 - 18*j + 12. Let t(p) = -18*p + 2. Let a be t(1). Let b be m(a). Is (1 + -2)/((-4)/b) composite?
True
Let a(z) = z**2 + 7*z + 9151 - 10*z - 8*z. Is a(0) a prime number?
True
Let m(v) = 10350*v**3 + 37*v**2 - 9. Is m(2) composite?
False
Let l = -268 - -273. Suppose 24054 = -l*h + 11*h. Is h composite?
True
Suppose -9*i + 4*i - 165941 = -6*i. Is i a composite number?
False
Let p(m) be the second derivative of 27*m**5/10 - 11*m**4/12 - 5*m**3/6 + 17*m**2/2 - 207*m. Is p(8) a prime number?
True
Let w = -113 - -116. Suppose -4*r = -s + 337, -w*s + 2*r + 956 = r. Is s a composite number?
False
Let g be (1 - 2)*(0 - 3). Suppose 5 = 2*o + r - 3, g*r = -5*o + 21. Suppose 5*v = v - 4*b + 1792, -o*v - b + 1342 = 0. Is v prime?
False
Suppose 12 + 6 = 4*p + 5*z, -2*p + 2 = -z. Suppose -p*i = a + 2*a - 9, 0 = -5*i. Is a + (-1 - 0) - -485 a prime number?
True
Is -35 + 24 + 658049 + 10 + -5 a prime number?
True
Let i(b) = -66*b - 36. Let h be i(-10). Suppose -4*m + 630 = 5*o - 3*o, 4*m = 4*o + h. Is m prime?
True
Suppose 0 + 36 = 3*x. Suppose -x - 18 = -6*z. Suppose -z*j + 22223 = 1278. Is j a prime number?
False
Let q = 10808 + 4693. Is q a composite number?
True
Is 256 - (-98)/(-28)*-2 a composite number?
False
Let d(a) = 2991*a - 2534. Is d(11) a composite number?
False
Let g(u) = 1255*u**3 - 18*u**2 - 19*u - 23. Is g(9) a composite number?
True
Let f = -12138 - -2778. Let h = f - -17873. Is h composite?
False
Let v(t) = -328*t**3 + 8*t**2 + 166*t**3 - 8 + 70 + 161*t**3 + 9*t + 5*t**2. Is v(12) prime?
False
Let m be 4/(-6) - ((-2104)/24 + 5). Let p = 211 + m. Is p a composite number?
False
Let r(y) be the first derivative of -22 - 14/3*y**3 + 0*y**2 - 15*y + 1/2*y**4. Is r(11) prime?
True
Suppose 29*p - 424768 = 4010289. Is p a prime number?
False
Suppose 65*x = 2119925 + 864977 + 9943143. Is x a prime number?
False
Let w(q) = 476*q**2 + 47*q + 221. Is w(-4) composite?
False
Suppose -7*u + 24 = -3*u. Let n be u*(3 - -1)/8 - 1. Suppose -1899 = -11*t + n*t. Is t a prime number?
True
Let s(b) = -2*b**3 + 29*b**2 - 14*b. Let o be s(14). Suppose 3*q = i - 85, 3*i - q + 3*q - 277 = o. Is i prime?
False
Let p(w) = 117*w**2 + 5*w + 19 + 334*w**2 - 19*w + 154*w**2. Is p(2) composite?
False
Let b(o) = 17832*o**2 + 5*o - 9. Is b(4) a composite number?
True
Let o = 173 - 157. Let m(d) = 282*d - 119. Is m(o) a prime number?
False
Suppose -25 = -4*j + 215. Let o = -46 + j. Suppose o*d = 12*d + 314. Is d composite?
False
Suppose 5*p = 5*c - 184255, 4*c + 4*p - 147404 = 6*p. Suppose 0 = 3*t + 2*t - 4*h - c, 3*t - 4*h = 22117. Is t composite?
True
Let x(b) be the second derivative of 257*b**4/6 - 11*b**3/6 - 27*b**2/2 + 66*b. Is x(-2) composite?
True
Let z = 58960 - 4811. Is z composite?
True
Let r = -85 - -97. Let w = -9 + r. Is w/2*8380/30 prime?
True
Let c(h) = -418 + 864 + 586*h - 423. Is c(11) composite?
False
Let n be 31771 - (-3 - (12 + -8)). Suppose 0 = -45*p + 177967 + n. Is p prime?
False
Let c(p) be the third derivative of -85*p**4/24 + p**3 - 21*p**2 - p. Let z(m) = -m**2 + 2*m + 3. Let b be z(4). Is c(b) a composite number?
False
Suppose u - n = 23, -n - 91 = -5*u - 4*n. Suppose a = -3*a - u. Let k(q) = 19*q**2 + 3*q - 11. Is k(a) a prime number?
True
Suppose x - 504 = -2*x. Let p be -73 - (0/8 + 6). Let a = x + p. Is a a composite number?
False
Suppose -1 - 1 = -y. Let b be 175/140 - (-6)/8. Suppose 3466 = y*o + z, z + 8687 = 5*o - b*z. Is o a prime number?
False
Suppose 0 = -10*r + 11*r - 45. Is 2237/4*(-41 + r) prime?
True
Is (4 - (-44 + 2657))*(2 - 17 - 2) composite?
True
Suppose -8*v - 4708 = -12*v. Let z = 832 - v. Let j = 638 + z. Is j prime?
True
Suppose 23*s - 275 = 12*s. Suppose -1616 = 2*u + 5*n - 9283, -5*n = -s. Is u a composite number?
False
Let i = 19 - 9. Suppose -6*u + 12496 = i*u. Is u a composite number?
True
Is 1515112/10 + (4/50)/((-26)/65) a prime number?
False
Suppose 10329211 + 15080106 = 109*k. Is k prime?
True
Suppose 0 = -3*r + 2*r + 5*q - 15, q - 3 = -5*r. Suppose 4*u + 111 - 15579 = r. Suppose 2*g - 1938 = -5*i + i, i = 4*g - u. Is g prime?
True
Let b(o) = 140*o**2 + 23*o - 7. Let w(u) = 83*u**2 + 13*u - 3. Let f(h) = 3*b(h) - 5*w(h). Let z = -12 + 29. Is f(z) a composite | {
"pile_set_name": "DM Mathematics"
} |
value? (a) d (b) r (c) -2
a
Let g = 3/7 + 5/21. Let w = -16 - -47/3. What is the third smallest value in -4, g, w?
g
Let q = -0.4 + 0.2. Let u = -0.09 + -0.11. Let s = 0.1 + u. Which is the third biggest value? (a) q (b) s (c) 3
a
Let n be 5*(-1)/(-15) - (-2)/(-24). Which is the smallest value? (a) -40 (b) n (c) -1
a
Let x = 6 - 10. Suppose 2*j - 6 = 4*j. Which is the biggest value? (a) -5 (b) x (c) j
c
Let s = 34 + -31. Which is the third biggest value? (a) -0.3 (b) s (c) -5 (d) 0.2
a
Let r = 2897/14 - 207. What is the fourth smallest value in -3, r, 0.2, -0.3?
0.2
Let z be (-2)/(0 - -1) - 177. Let o = 1255/7 + z. What is the biggest value in -0.2, 1, o?
1
Let o = 1 + -0.7. Let i = -0.2 - -3.2. Let m = -7 - -6. What is the biggest value in m, o, i?
i
Let m = -42 + 45. Let o = 0.4 - 0. What is the second biggest value in o, 0, m?
o
Suppose 0 = y - 10 + 13. What is the biggest value in 6/5, y, 14?
14
Let v be (-5)/(-12)*43/15. Let r = 5/36 + v. What is the smallest value in 1/4, r, -5?
-5
Let r = -15 + 13. What is the biggest value in 4, -1, r?
4
Suppose 2*n - 11 = 3*t, n - 5*n - t + 15 = 0. Let x = -0.08 + -2.92. Let m = 1 - -2. Which is the second smallest value? (a) n (b) m (c) x
b
Let p = 27/70 + 4/35. Suppose 3*j = 5*t + 5, 0*j = 5*j - 25. Suppose -1 + t = -m. What is the third biggest value in m, p, 0?
m
Let h = 158.5 - 159. What is the third biggest value in 4, h, 6?
h
Let g = -3.3 - -0.3. Let r = 3 + -2. Let h = -1 + r. What is the biggest value in g, h, 0.4?
0.4
Let g = 0.014 - 0.214. What is the second biggest value in -1, 1, -0.3, g?
g
Let g = 3 - 5. Let f = g + 1.7. Let w = -3.9 + 4. Which is the smallest value? (a) w (b) f (c) -4/7
c
Let l = 1 - 1.4. Let w = -0.07 + -5.93. Let g = 7 + w. Which is the smallest value? (a) l (b) -3 (c) g
b
Let f = -0.4 - -0.8. Let z = -0.1 + f. Let m = 11.2 - 11. Which is the second smallest value? (a) z (b) m (c) -3
b
Suppose 2*g - 5*y + 23 = 0, 0 = -3*g + 5*y - 9 - 13. Let z be (-1 + -3)*(-2)/(-28). What is the third biggest value in -0.4, z, g?
-0.4
Let g = 0.3 + -0.7. Let q = -0.6 - -1.6. Which is the biggest value? (a) -5 (b) g (c) q
c
Suppose 3*l = 4*j - 12, 5*l + 7 + 13 = 0. Let x(g) = -g - 2. Let p be x(2). What is the third biggest value in j, -0.4, p?
p
Let a = -409/12 - -34. Suppose 3*y - 3 = 9. Let p = -53/45 + 7/9. What is the biggest value in p, y, a?
y
Suppose 3 = g + 1. Let t be 0/((1 - 0) + -2). Let j be g/(-3) - t/2. What is the second smallest value in -4, j, 0.2?
j
Let q(i) = -i**2 - 9*i - 9. Let x be q(-9). Let y = x - -13. What is the third smallest value in y, 3, -2/5?
y
Let n = 0.17 + 2.83. Which is the second smallest value? (a) n (b) -3 (c) 4
a
Let k be 1 + 2 - (-5 - -4). Let d(u) = 8 - 2 + 0*u + u. Let x be d(-6). What is the smallest value in 2/3, x, k?
x
Let d = 7/10 - 1/5. What is the third smallest value in d, 1/3, -5?
d
Let p = 142.6 + -143. What is the second biggest value in 0, 1, 0.6, p?
0.6
Let h = 1.7 + 0.3. Let n = 2.4 - h. What is the third smallest value in 2, n, -1?
2
Let t = 225 - 1121/5. Which is the biggest value? (a) 1/8 (b) t (c) -4
b
Let j = -65/73 + 3671/8468. Let b = 6/29 + j. What is the second biggest value in -5, b, -1/10?
b
Suppose 0 = 2*z - 38 + 10. Let u be ((-2)/(-3))/(z/6). Let p = 157/20 + -43/5. Which is the third biggest value? (a) p (b) u (c) 1
a
Let j = -33 + 101/3. Which is the third biggest value? (a) -1/2 (b) 3/2 (c) j
a
Suppose 7*k = 8*k - 3. Let q = -0.06 - -2.06. Which is the smallest value? (a) 1 (b) k (c) q
a
Let s = -4 + 2. Let b = -2.4 - s. What is the second biggest value in -4, b, 0?
b
Let w = 0.2 + 0.8. Which is the third biggest value? (a) 12 (b) 2/5 (c) w
b
Let s = 0.02 + 0.04. Which is the third smallest value? (a) 0.2 (b) s (c) 0.5
c
Let i = 24.3 - 29.3. Let t = 14212/23 + -618. Which is the second smallest value? (a) 5 (b) i (c) t
c
Let d = 6/5 + -8/5. Suppose -1 = -2*h - 11. What is the biggest value in 0, d, h?
0
Let a = -10.761 + -0.039. Let v = a + 11. What is the smallest value in v, 3/5, -2/9?
-2/9
Let x = 6 - 5.44. Let f = -0.06 + x. Which is the second biggest value? (a) f (b) -5 (c) -1
c
Let t = -105.4 - -105. Which is the smallest value? (a) -21 (b) 0.1 (c) -4 (d) t
a
Let r = 234 + -223.7. Let s = 10 - r. Which is the biggest value? (a) 3 (b) s (c) -4
a
Let o = 23.5 + -23. Suppose 0 = -d - 3*n + 8, 3*d + 5*n + 6 = 18. What is the second biggest value in 5/6, d, o?
o
Let j be (-4)/(108/93) + 3. Which is the third smallest value? (a) j (b) -2/7 (c) 0.2
c
Let q = 56 - 225/4. Which is the second biggest value? (a) -0.5 (b) 3 (c) q
c
Let q = -0.61 - -5.61. Which is the fourth biggest value? (a) -0.2 (b) -0.1 (c) 2/3 (d) q
a
Let g = -0.74 - -0.24. Let o = 312 - 310.03. Let r = o + 0.03. Which is the second smallest value? (a) r (b) 0.4 (c) g
b
Let s = -0.4 - 5.6. Let u = -3 + -2.5. Let d = s - u. What is the third smallest value in d, 0.3, 0.1?
0.3
Let q = 0.11 - 3.11. Which is the third biggest value? (a) -0.4 (b) q (c) 0.4
b
Let s = -28 + 33. Suppose -y = 3*k - 10, -2 = -2*k - k - s*y. Let p = 1 - 1. What is the smallest value in -1, p, k?
-1
Suppose 4*k - 40 = -4*u, 105 = 5*u - 4*k + 37. Let n be (-3)/u + (-53)/(-4). Let g = n + -8. Which is the smallest value? (a) 2/5 (b) 3/7 (c) g
a
Let n(g) = -5*g - 2. Let j be n(1). Which is the smallest value? (a) 3 (b) -2/7 (c) j
c
Let w = -0.01 + 0.06. Let p = 0.35 + w. What is the second smallest value in p, 1/6, -0.2?
1/6
Let q be ((-176)/(-33))/((-2)/12). Let g be 3 - -3*q/36. What is the smallest value in 0.5, g, 4?
g
Let a be 0/(-2) + (-2)/12. Let z = 593/17 - 35. What is the third biggest value in 0.5, z, a?
a
Let p = 0.01 + 0.29. Let o = 9 - 4. Let h = 1 - 0.5. Which is the biggest value? (a) p (b) o (c) h
b
Let x be -2 - (-205)/65 - 1. Which is the second smallest value? (a) x (b) 2 (c) -4/3
a
Let i = 11.8 - 4.8. What is the second smallest value in -5, 0.2, i?
0.2
Let r = -13/44 - -6/11. Which is the second biggest value? (a) 3 (b) r (c) -5
b
Let w be 2/(-4) - (-3)/2. Let c = -4.6 - -5. Let k = c - 0.7. What is the biggest value in k, 0.1, w?
w
Let a = -0.5 + 1. Let w = 208.03 - 204. Let x = w + -0.03. What is the smallest value in 0, a, x?
0
Let a be ((1 + 0)*-2)/1. Let b(s) = s**2 + 2. Let z be b(a). Let o be 60/27 - z/3. What is the smallest value in o, -4, -2/9?
-4
Let q be ((-68)/(-16) - 4)/(28/(-48)). Which is the third biggest value? (a) q (b) 1 (c) 0.2 (d) 0.3
c
Let u = 143 - 289/2. Which is the second smallest value? (a) 1/7 (b) 3 (c) u (d) -2
c
Let s be -1*(-4)/(-1) + 4. What is the third smallest value in s, 0.5, 2/9?
0.5
Let b = 10.15 + 0.35. Let y = 11 - b. What is the third biggest value in y, 2, 0.4?
0.4
Let z = -14.4 + 14. Let o = 0.8 + -1. What is the smallest value in -2, z, o?
-2
Let d = 0.6 - 1.6. Which is the second smallest value? (a) 2 (b) -1/5 (c) d
b
Let y = -359/15 + 73/3. Which is the third biggest value? (a) -2/11 (b) 2 (c) y (d) 0.1
d
Let i be 16/6 + (-4)/2. Let k = -65.5 + 66. What is the third smallest value in i, k, -4?
i
Let n = 55 - 58. Let l(a) = a**3 - a**2 - a + 3. Let t be l(0). What is the second smallest value in n, 4, t?
t
Let s = 2 + -1. Let y = 1 + s. Let h be (-6)/(-14) + 3/(-3). Which is the second smallest value? (a) 0.1 (b) y (c) h
a
Let f = 1768/15 - 118. Suppose -v + 4*d = -1 - 9, 5*d = 20. Let m = 26 - v. Which is the third biggest value? (a) f (b) -3 (c) m
b
Let j = -0.32 + 0.02. Let h = 1 - 0.7. What is the biggest value in -1, h, j?
h
Let t = -1.3 + -0.7. Let n = 7 + t. Which is the second biggest value? (a) -3 (b) 0.4 (c) n
b
Let s(n) = 2*n + 3. Let t be s(-8). Let w(q) = q**2 + 12*q - 11. Let h be w(t). What is the third smallest value in 1, 2/7, h?
h
Let g = 187/42 - 25/6. Which is the fourth smallest value? (a) -4 (b) g (c) -2 (d) 1/2
d
Let k(h) = -h + 3. Let y be k(7). Let l = 0.2 - 0.6. Which is the third smallest value? (a) l (b) y (c) -2/11
c
Let h = 0 - -4. Let d be (1/(-1)*12)/(-2). Suppose 0 = 2*j - d*j + 20. Which is the second smallest value? (a) j (b) 2/5 (c) h
c
Suppose -3*q + 5*x + 8 = 0, -q - 1 = -5*x - 7. What is the third biggest value in -3, -1/7, q?
-3
Let g = - | {
"pile_set_name": "DM Mathematics"
} |
= 6*o + 2. Suppose 2*u + 5*h = -2*u - 7, 2*u = -4*h - 8. Let d(c) = 16*c - 4*c + u - 7*c. Give 4*d(a) - 3*m(a).
2*a + 2
Let q(u) be the third derivative of u**5/12 - u**4/12 - u**3/3 + 944*u**2. Let z(k) = 11*k**2 - 4*k - 5. Give -7*q(m) + 3*z(m).
-2*m**2 + 2*m - 1
Let b(q) = -q**2 + 16*q - 22. Let k be b(14). Let y(a) = 8 - 8 - 4*a**2 - k*a**2 - 14. Let i(p) = -2*p**2 - 3. Determine 28*i(v) - 6*y(v).
4*v**2
Let g(x) = -20*x - 2. Let j(o) = 17*o. Determine 3*g(k) + 2*j(k).
-26*k - 6
Let n(m) = -262*m**2 + 9. Let a(y) = 131*y**2 - 5. What is 11*a(s) + 6*n(s)?
-131*s**2 - 1
Let v(u) = -4*u. Let m = 4 - 7. Let f(g) be the first derivative of g**2 - 31. Determine m*v(q) - 7*f(q).
-2*q
Let z(b) = -3*b - 5. Let s(r) = -r - 2. Let m(d) = -5*s(d) + 2*z(d). Let a(l) = 2*l + 3. Let w be (2 - 3) + (-15 - -17). What is w*a(o) + 4*m(o)?
-2*o + 3
Let i(f) = -17*f - 9. Let t(n) = -9*n - 5. Suppose 4*h + m = -46, -14 - 22 = 4*h - 4*m. Give h*t(q) + 6*i(q).
-3*q + 1
Let j(z) = 11*z - 28. Let b(c) = 4*c - 10. What is -17*b(f) + 6*j(f)?
-2*f + 2
Let f(r) = 5*r**2 - 5*r - 7. Let a(u) be the third derivative of 2*u**5/15 - 7*u**4/24 - 5*u**3/3 + u**2. Let y be 231/49 - 8/(-28). Calculate y*a(p) - 7*f(p).
5*p**2 - 1
Let m(i) = 7*i**2 - 5. Let g = -153 + 147. Let h(v) = 7*v**2 - 6. Calculate g*m(q) + 5*h(q).
-7*q**2
Let r(y) = 0 - 2*y + 4 - y**3 + 1 + 2*y + 7*y. Let d(o) = -o**3 + 4*o + 3. Give 7*d(t) - 4*r(t).
-3*t**3 + 1
Let w(s) be the third derivative of 3*s**5/20 - s**3/3 + 3*s**2 - 154. Let m(y) = -8*y**2 + 3. What is -2*m(g) - 3*w(g)?
-11*g**2
Let v(q) = -13*q**2 - 4*q + 8. Let b = 38 - 44. Let h(l) = 7*l**2 + 2*l - 4. Give b*v(j) - 11*h(j).
j**2 + 2*j - 4
Let k(d) = d**2 + 2. Let j(o) = -5*o**2 - 6*o - 11. What is j(w) + 6*k(w)?
w**2 - 6*w + 1
Let b(v) = -v**2 - v - 1. Let j(c) = -3*c**2 - 8*c - 4. Let u = -267 + 268. What is u*j(l) - 2*b(l)?
-l**2 - 6*l - 2
Let h(r) = 4*r**2 + 2*r + 3. Let x(l) be the first derivative of 2*l**3/3 + l**2/2 + l - 46. Determine -2*h(o) + 5*x(o).
2*o**2 + o - 1
Let u(n) = -9. Let b(w) = 2*w + 221. What is -b(x) + 4*u(x)?
-2*x - 257
Let i(h) = -h - 39. Let b(k) = -k - 48. Let y(m) = 4*b(m) - 5*i(m). Let a(s) be the second derivative of s**2/2 - s. Determine 3*a(g) - y(g).
-g
Let i(q) = 1 + q**2 + 8 - 8 - q. Let h(v) = -2*v**3 + 5*v**2 - 8*v + 6. Determine h(l) - 6*i(l).
-2*l**3 - l**2 - 2*l
Let s(y) = -10*y**2 + 4*y. Let q = 149 - 138. Let m(f) = -29*f**2 + 11*f. Calculate q*s(w) - 4*m(w).
6*w**2
Let u(n) = 3*n**2 - 3*n. Let m(i) = 7*i**2 - 7*i. Let b be 5/3 - (-9)/(21 - -6). What is b*m(y) - 5*u(y)?
-y**2 + y
Let g = 3609 + -3615. Let x(s) = -s**2 + 3. Let a = 24 + -11. Let p(y) = -2*y**2 + 6. Determine a*x(m) + g*p(m).
-m**2 + 3
Suppose -x = 4*x - 75. Suppose -x = 6*s - 9*s. Let g(o) = -6*o**3 - 2*o**2 + 5. Let n(k) = -5*k**3 - k**2 + 4. Calculate s*n(f) - 4*g(f).
-f**3 + 3*f**2
Let c(w) = -82*w**3 - 6*w - 6. Let k(m) = -81*m**3 - 7*m - 7. Give -7*c(p) + 6*k(p).
88*p**3
Let c(d) = -23*d - 8. Let z(i) = 23*i + 7. What is 6*c(t) + 7*z(t)?
23*t + 1
Let o(y) = -6*y**2 + 3*y - 1. Let f(r) = -2 - 5*r + 1 + 11*r**2 + 3. Suppose 2*z - 14 = -2*j, 11*j = 10*j - 5*z + 23. Calculate j*f(p) + 5*o(p).
3*p**2 + 1
Let o(z) = 22 + 8 - 34 - 2*z - z. Let j be 2*(3/2)/1. Let f(u) = 4*u + 5. Determine j*o(l) + 2*f(l).
-l - 2
Let y(t) = 7*t + 26. Let f(g) = 36*g + 132. Determine -4*f(z) + 21*y(z).
3*z + 18
Let w(i) = -3*i**2 - 18*i + 1. Let d(g) = 3*g**2 + 17*g - 1. What is 7*d(b) + 6*w(b)?
3*b**2 + 11*b - 1
Let p(y) = -4*y**2 - 4*y + 3. Let g(q) = 14*q**2 + 28*q - 36. Let j(c) = -15*c**2 - 27*c + 33. Let f(u) = -6*g(u) - 7*j(u). Give -2*f(x) - 11*p(x).
2*x**2 + 2*x - 3
Suppose -4*v - 7*l + 2*l = 35, -5*l - 15 = 0. Let w be (-2)/(-4)*-10*-1. Let h(s) = 16*s - w*s - 3*s - 6*s. Let o(q) = -6*q - 1. Calculate v*h(d) - 2*o(d).
2*d + 2
Let p = -6961 + 6955. Let q(a) = 2*a**3 + 6*a**2 + a. Let o(y) = y**2 + 4 - 4. Calculate p*o(k) + q(k).
2*k**3 + k
Let r(m) = 6*m**2 - m + 4. Let k = -2 - -1. Let u(i) be the second derivative of i**4/12 + i**2/2 + 21*i. Calculate k*r(q) + 5*u(q).
-q**2 + q + 1
Let l(o) = 4*o**3 - 7*o**2 + 13*o + 4. Suppose 5*n + 1607 = 1572. Let a(z) = -z**3 + 2*z**2 - 4*z - 1. What is n*a(u) - 2*l(u)?
-u**3 + 2*u - 1
Let m(n) = 2889*n + 20. Let d(p) = -65002*p - 448. Determine -5*d(g) - 112*m(g).
1442*g
Let y(j) = -j**3 - j**2 + j. Suppose -151*n - 4 = -153*n. Let o(v) = 6*v**3 + 3*v**2 - 3*v. Determine n*o(t) + 6*y(t).
6*t**3
Let l(c) = 55*c - 18. Let n(b) = 18*b - 6. Calculate 4*l(y) - 11*n(y).
22*y - 6
Let g(m) = 2*m + 57. Let a(c) = -c - 27. Give -5*a(x) - 2*g(x).
x + 21
Let y(u) = u. Let t(k) = 89*k**3 - 178*k. Calculate t(h) + 178*y(h).
89*h**3
Let i(c) = -c**3 - 5. Let x be -2*(-1)/(-12) - 299/6. Let m = x - -46. Let h(n) = -4. Determine m*i(t) + 5*h(t).
4*t**3
Let q(f) be the first derivative of f**2/2 + 3*f - 143. Let h(n) = -2*n - 2. What is -3*h(g) - 2*q(g)?
4*g
Let i(l) = 2*l - 1. Let s(w) = 109*w - 2. Determine -3*i(o) + s(o).
103*o + 1
Let m(t) = -t. Let h(u) = -2*u**2 + 21*u + 5. Calculate h(k) + 6*m(k).
-2*k**2 + 15*k + 5
Let t(d) = -2*d**2 - 4*d - 7. Let q(p) be the first derivative of 4*p**3/3 + 9*p**2/2 + 15*p - 77. Calculate 6*q(g) + 13*t(g).
-2*g**2 + 2*g - 1
Let a(y) = y**2 + 2. Let m = 17 + -14. Suppose -3*g - 14 = m*c + 1, 0 = 5*g - 5. Let p(u) = -6*u**2 - 13. Calculate c*p(n) - 39*a(n).
-3*n**2
Let p(l) = -9*l + 7. Let x = 398 + -395. Let q(i) be the first derivative of -4*i + 5/2*i**2 + x. Calculate -3*p(a) - 5*q(a).
2*a - 1
Let y(c) = 9*c + 2. Suppose 6 = -f + 4*m, m + 1 = f + 4. Let a(p) = 117*p + 27. Determine f*a(g) + 27*y(g).
9*g
Let u(j) = 429*j - 18. Let z(i) = -214*i + 8. What is -4*u(g) - 9*z(g)?
210*g
Let l(x) = -x**2 + 1. Let q(u) be the second derivative of u**4/4 - u**3/3 - u**2/2 + 89*u. What is -2*l(r) - q(r)?
-r**2 + 2*r - 1
Let k(i) = -8*i**3 - 2. Let p(r) = 4*r**3 + 1. Suppose 5*d - 2*s + 20 = 0, 8 = d + 3*s - 5. Determine d*k(w) - 5*p(w).
-4*w**3 - 1
Let w(q) = -7*q + 5. Let p(y) be the third derivative of y**4/8 - y**3/2 + 25*y**2. Determine 9*p(v) + 4*w(v).
-v - 7
Let f(b) = -2*b - 1. Let x(g) = -g**3 + 6*g**2 + 8*g + 2. Let t be x(-1). Let h(w) = w. What is t*h(k) + f(k)?
-k - 1
Let s(l) = -l**3 + l**2 + l - 2. Let f(a) = 7*a**3 + 8*a**2 - 6*a + 8. Determine -f(q) - 6*s(q).
-q**3 - 14*q**2 + 4
Let d(t) = 2*t**2 - 4*t - 1. Let g = 32 - 30. Let r(i) = 0*i + 1 + 2*i - 2*i**g + 8*i - 5*i. Let b be (-1)/(-2) + (-26)/(-4). Calculate b*d(h) + 6*r(h).
2*h**2 + 2*h - 1
Let s(u) = -7*u**3 - 2*u**2 - 5*u + 6. Let d(g) be the first derivative of -g**4/4 - g**2/2 + g - 204. Calculate -6*d(n) + s(n).
-n**3 - 2*n**2 + n
Suppose 0 = -5*u + 4*u + 6. Let w(p) = 25*p - 3 + 12 - 22 - 22. Let g(t) = 6*t - 9. Let l(z) = 9*g(z) - 2*w(z). Let d(f) = f - 3. Give u*l(r) - 22*d(r).
2*r
Let m(g) = g**3 + 5*g**2 - 14*g + 2. Let d be m(-7). Let t(h) = 3*h**3 - 2*h**2 - 7*h. Let b(x) = -x**3 + x**2 + x + 1. Give d*b(n) + t(n).
n**3 - 5*n + 2
Let y(t) = 3*t**2 + 5*t + 3. Let d(b) = 2*b**2 + 4*b + 3. Let j be 4 + 4/12 - 2/6. What is j*y(g) - 5*d(g)?
2*g**2 - 3
Let k(x) = -5*x. Suppose -123 = -27*b + 39. Let v(f) = f. What is b*k(d) + 39*v(d)?
9*d
Let j(d) = -5*d + 209. Let f(a) = -4*a + 209. Determine -3*f(p) + 2*j(p).
2*p - 209
Let g(y) = 74*y**2 + 740*y - 1110. Let f(v) = -2*v + 3. Determine 1110*f(t) + 3*g(t).
222*t**2
Let u(i) = 5*i**2 - 4*i + 8. Suppose 3 = -5*o - 2. Let m(k) = -k**2 + k - 1. Suppose -48 = -3*l + 42. Suppose -w = -6*w - l. Determine o*u(r) + w*m(r).
r**2 - 2*r - 2
Let l(x) = 3*x + 10. Let d(j) = 4*j + 10. Suppose -3*q - 6*a + 1 = -2*a, 3*a + 13 = -5*q. Determine q*l(k) + 4*d(k).
k - 10
Let t(c) = -449*c + 2. Let l(i) = 207*i - 1. Let m(n) = -13*l(n) - 6*t(n). Let x(r) = 3*r + 1. Let k be (-2)/(-3)*(10 - 1). Give k*x(u) - 7*m(u).
-3*u - 1
Let p(a) = 6*a**3 + 2*a**2 + 8*a + 20. Let b(k) = -7*k**3 - 3*k**2 - 10*k - 21. What is -5*b(x) - 6*p(x)?
-x**3 + 3*x**2 + 2*x - 15
Let s(a) be the third derivative of 7*a**5/60 + a**4/8 + 5*a**3/6 + 34*a**2 - 1. Let r(k) = -1 + 2*k**2 + k**2 - k - 4*k**2. What is 5*r(n) + s(n)?
2*n**2 - 2*n
Let g(f) = 7*f - 9. Let n(d) be the first derivative of d**2/2 - d + 465. Give g(c) - 5*n(c).
2*c - 4
Let g(a) = 325*a**3 + 4*a**2 - 4. Let p(t) = 974*t**3 + 11*t**2 - 11. | {
"pile_set_name": "DM Mathematics"
} |
2*n**3
Collect the terms in -31*c - 56*c - 3 - 2268*c**3 + 2265*c**3.
-3*c**3 - 87*c - 3
Collect the terms in -56336*b + 31247 + 56337*b - 31247.
b
Collect the terms in 294 - 233 - 237 + 5*v + 416 - 240.
5*v
Collect the terms in 3341*a - 1 - 3*a**2 - 3362*a - 13 + 14 + 4*a**2.
a**2 - 21*a
Collect the terms in 260*u**2 - 3 - 3*u - 4*u - 134*u**2 + u - 120*u**2.
6*u**2 - 6*u - 3
Collect the terms in -29968*i + 69551*i + 2*i**3 - 39583*i.
2*i**3
Collect the terms in 1960 - 3925 - 52*c**3 + 1970.
-52*c**3 + 5
Collect the terms in -24637 - 118*x**2 + 13324 + 11313.
-118*x**2
Collect the terms in -82*f + 198 + 81*f - 1176.
-f - 978
Collect the terms in 28*p**3 - 402*p**2 + 241*p**2 - 4*p + 37*p**2 + 4*p + 124*p**2.
28*p**3
Collect the terms in 378*y - 9*y**2 - 45*y**3 + 11*y**2 + 0*y**2.
-45*y**3 + 2*y**2 + 378*y
Collect the terms in -1 - 1074*c + 125*c - 1130*c + 7 + 151*c.
-1928*c + 6
Collect the terms in -5*q**2 - 1267466*q + 1267466*q + 443*q**3.
443*q**3 - 5*q**2
Collect the terms in -1576*a - 255*a - 174*a - 765*a - 403*a.
-3173*a
Collect the terms in 3857*u - 7557*u + 20213*u + 14474*u.
30987*u
Collect the terms in -6*g**2 - 11*g**2 + 13*g**2 + 2 - 638902*g.
-4*g**2 - 638902*g + 2
Collect the terms in -35*a**2 + 921*a**2 + 1429958 - 1429958.
886*a**2
Collect the terms in -2 + 1903*x**2 - 493*x**2 - 404*x**2 + 2007*x**2.
3013*x**2 - 2
Collect the terms in 23361*o**2 - 2 + 2*o**3 + 11775*o - 23226*o**2 - 11775*o + 2.
2*o**3 + 135*o**2
Collect the terms in -550*y**2 + 0 - 569*y**2 + 1123*y**2 + 2 - 2.
4*y**2
Collect the terms in 10186 - 1230*t**2 - 381*t**2 - 8637*t**2 - 10186.
-10248*t**2
Collect the terms in -4*t + 4993*t**3 + 4994*t**3 + 4*t + 4991*t**3 + 4986*t**3 - 19963*t**3.
t**3
Collect the terms in 554*x - 1175*x + 35 + 622*x.
x + 35
Collect the terms in -512*q**2 + 2423449 - 2423449.
-512*q**2
Collect the terms in -14637*c + 7322*c + 54 - c**3 - 72 + 7315*c.
-c**3 - 18
Collect the terms in 78*p**2 - 67*p**2 - 83 + 32*p - 81 + 164.
11*p**2 + 32*p
Collect the terms in -9129 + 3103 + 2985 + 17*p**3 - 2*p**2 + 3041.
17*p**3 - 2*p**2
Collect the terms in 2 - 297534*l**2 + 1 + 295102*l**2 - 1067163*l**2.
-1069595*l**2 + 3
Collect the terms in -2021 - 2027 - 2030 + 6078 - 899*f**2.
-899*f**2
Collect the terms in -421*c**3 + 336*c**3 + 136*c**3.
51*c**3
Collect the terms in 16*k - 107*k + 36 + 74*k - 71 + 35.
-17*k
Collect the terms in -111588*k + 37828*k + 36966*k + 43093*k.
6299*k
Collect the terms in 7 - 167*i**2 - 3*i**3 - 19 - 8*i**3 + 3.
-11*i**3 - 167*i**2 - 9
Collect the terms in 69650*c - 1343839 + 1343839.
69650*c
Collect the terms in 233*p**2 + 142*p**2 + 1 + 223*p**2.
598*p**2 + 1
Collect the terms in 435*x**2 + 505*x**2 + 4*x**3 - 899*x**2.
4*x**3 + 41*x**2
Collect the terms in 12 - 44940*y + 7 - 19.
-44940*y
Collect the terms in 4276*f**2 + 3384*f - 3384*f.
4276*f**2
Collect the terms in 3898*f**2 - 1378*f**2 - 1199*f**2 - 1362*f**2.
-41*f**2
Collect the terms in 4 - 171152*d + 171151*d + 8*d**2 - 4 - 4*d**2 + 51*d**2.
55*d**2 - d
Collect the terms in -2373028 + 2373029 - 8673*m + 8729*m.
56*m + 1
Collect the terms in -3204*u**3 - 2834*u**3 + 4790*u**3.
-1248*u**3
Collect the terms in -941*d**2 - 940*d**2 + 3769*d**2 - 938*d**2 - 927*d**2.
23*d**2
Collect the terms in -1575*s**2 + 30*s**3 + 788*s**2 + 372 + 787*s**2 - 2*s.
30*s**3 - 2*s + 372
Collect the terms in 10865*s + 10873*s + 10866*s - 1 + 10873*s - 65222*s + 10868*s + 10865*s.
-12*s - 1
Collect the terms in 310808*n**2 - 159466*n**2 - 151346*n**2.
-4*n**2
Collect the terms in -10779720 + 5389861 - 539*k + 5389859.
-539*k
Collect the terms in 505 + 520 + 0*h**2 + h**2 + 506 - 1893 + 362.
h**2
Collect the terms in -15*z**2 + 361759413866 - 361759413866.
-15*z**2
Collect the terms in -250*b - 15 - 150*b - 28*b + 27 - 14.
-428*b - 2
Collect the terms in -11*z**3 + 1270*z**2 - 1846*z**2 + 576*z**2.
-11*z**3
Collect the terms in 73063*u - 11161*u + 445512*u.
507414*u
Collect the terms in 4 - 11 - 63*x - 27*x + 23 + 3.
-90*x + 19
Collect the terms in 4 + 49623391727847*x + 3*x**3 - 49623391727847*x - 4.
3*x**3
Collect the terms in -18*l**2 + 259*l - 1850*l - 4*l**2.
-22*l**2 - 1591*l
Collect the terms in 2*p - 2*p + 394342*p**2 + 84237*p**2.
478579*p**2
Collect the terms in 1523402 - 1523402 + 7*a.
7*a
Collect the terms in 349*a - 160*a - 5*a**3 + 6*a**3 + 4*a**3 + a**3 - 189*a.
6*a**3
Collect the terms in 88126672*b + 125*b**2 - 88126672*b.
125*b**2
Collect the terms in -915*x**2 - 4006*x**2 + 5835*x**2 + 9*x**3 - 914*x**2.
9*x**3
Collect the terms in -1173*z + 1440*z - 3 + 1192*z - z**2.
-z**2 + 1459*z - 3
Collect the terms in -67 - 34762*r + 69465*r - 34681*r.
22*r - 67
Collect the terms in -274804*h**3 - 274787*h**3 + 1648787*h**3 - 274802*h**3 - 274798*h**3 - 274802*h**3 - 274796*h**3.
-2*h**3
Collect the terms in -6 + 989*g**2 - 1 - 1153*g**2 + 5 + 2.
-164*g**2
Collect the terms in -2*d**2 + 95336722*d + 0*d**2 - 95336722*d.
-2*d**2
Collect the terms in 14*m**2 - 112*m - 1903*m**3 + 952*m**3 + 949*m**3.
-2*m**3 + 14*m**2 - 112*m
Collect the terms in 6465344*p**2 - 12930624*p**2 + 6465288*p**2.
8*p**2
Collect the terms in -23 - 84559372*x**2 + 84559369*x**2 + 23.
-3*x**2
Collect the terms in 24 - 50*q**3 - 107 - 2*q + q**2 + 83.
-50*q**3 + q**2 - 2*q
Collect the terms in -3697643*f + 2472*f**2 + 3697643*f.
2472*f**2
Collect the terms in 406074*i - 345001 + 345001 - 406149*i.
-75*i
Collect the terms in -3 + 50*c**2 + 5 - 11*c**2 - 3*c**2 + 142*c**2.
178*c**2 + 2
Collect the terms in 15 + 5*t - 97 - 2*t - 265 - 107 + 454.
3*t
Collect the terms in 88 + 24*n - 144 - 59*n + 38*n + 56.
3*n
Collect the terms in 2572760*i - 87 + 87 + 314796*i.
2887556*i
Collect the terms in -8*q**3 - 2*q**3 - 355*q**3 + 6*q**3.
-359*q**3
Collect the terms in -2*w - 134 - 79 - 119 - 125 + 361.
-2*w - 96
Collect the terms in -495 + 864 + 30*j - 494 - 488 + 613.
30*j
Collect the terms in -59*z - 2*z**2 + 24 - 5 - 104*z.
-2*z**2 - 163*z + 19
Collect the terms in 923*p**2 + 924*p**2 - 1824*p**2.
23*p**2
Collect the terms in -517*x - 526*x - 529*x + 2131*x - 536*x.
23*x
Collect the terms in -436*v**3 - 4209*v - 510*v**3 + 4209*v.
-946*v**3
Collect the terms in -11 + 198*u**2 + 18 - 2 - 5.
198*u**2
Collect the terms in 89*t**2 + 55*t - 91*t**2 - 55*t - 14348*t**3.
-14348*t**3 - 2*t**2
Collect the terms in -96*l + 3*l**3 + 8667*l**2 + 8977*l**2 - 17644*l**2.
3*l**3 - 96*l
Collect the terms in -16*d + 2*d + 27*d - 6*d + 8*d**2 - 5*d - 2*d.
8*d**2
Collect the terms in -231 - 223 + 3*f**3 + 0*f**3 + 667 + 7 - 227.
3*f**3 - 7
Collect the terms in -309 - 139*x - 303 + 922 - 310 - 150*x.
-289*x
Collect the terms in 16*n**2 + 1971*n - 11*n**2 + 15*n**2 + 18*n**2 - 36*n**2.
2*n**2 + 1971*n
Collect the terms in -6 - 49*o - 3 + 22*o - 4 + 3.
-27*o - 10
Collect the terms in 30 + 91*w + 62 + 346 + 112.
91*w + 550
Collect the terms in 665*o - 23051 + 16453 + 6598.
665*o
Collect the terms in 7413789*z - 7413789*z + 20544*z**3.
20544*z**3
Collect the terms in 56 - 56 + 1272*o**2 - 9816*o**2.
-8544*o**2
Collect the terms in -8 + 9*f**3 - 26 + 6 + f - 25*f**2 + 17*f.
9*f**3 - 25*f**2 + 18*f - 28
Collect the terms in -3 - 9 - 3 + 343*s**3 - 113*s**3 - 111*s**3 - 121*s**3.
-2*s**3 - 15
Collect the terms in 4 - 2 - 7 + 3*x**2 - 5 - 14 + 24.
3*x**2
Collect the terms in 83787*a - 83785*a - 3063 + 2547 - 5157.
2*a - 5673
Collect the terms in 27 + 0*x - x + 43 + 69.
-x + 139
Collect the terms in -12*a**3 + 21863117*a - 107 - 21863117*a.
-12*a**3 - 107
Collect the terms in -393*n**2 + 100*n**2 + 288*n**2 + 6*n.
-5*n**2 + 6*n
Collect the terms in 116*h**2 + 70008865326 - 70008865326.
116*h**2
Collect the terms in -4*i**2 + 6*i**2 + 16986 + 18159 - 33444.
2*i**2 + 1701
Collect the terms in 1632068*a**2 - 816019*a**2 - 816033*a**2.
16*a**2
Collect the terms in -1 - 2615*k**2 + 768*k**2 + 1907*k**2.
60*k**2 - 1
Collect the terms in -1473 + 16*h**3 + 2951 - 7*h**3 - 5*h**3 - 2*h**3 - 1478.
2*h**3
Collect the terms in -6232*v**2 + 26662*v**2 + 38931*v**2 + 1124*v**2.
60485*v**2
Collect the terms in -69624*g - 69770*g + 139396*g.
2*g
Collect the terms in 4 + 12841977*s - 2 - 12841946*s.
31*s + 2
Collect the terms in 999 - 580 - 62*g**3 - 405.
-62*g**3 + 14
Collect the terms in -708*j**2 - 1101*j**2 - 883*j**2 + 3664*j**2.
972*j**2
C | {
"pile_set_name": "DM Mathematics"
} |
52, -42740?
x**2 + x - 42782
What is the q'th term of 288417, 576826, 865227, 1153620, 1442005, 1730382, 2018751?
-4*q**2 + 288421*q
What is the o'th term of -4030, -16109, -36244, -64435, -100682, -144985, -197344?
-4028*o**2 + 5*o - 7
What is the b'th term of 50, 121, 236, 395, 598?
22*b**2 + 5*b + 23
What is the f'th term of -473, -1023, -1571, -2117?
f**2 - 553*f + 79
What is the a'th term of -8162, -16331, -24492, -32639, -40766?
a**3 - 2*a**2 - 8170*a + 9
What is the w'th term of -48, -200, -590, -1338, -2564, -4388, -6930?
-20*w**3 + w**2 - 15*w - 14
What is the v'th term of 256, 548, 892, 1312, 1832?
4*v**3 + 2*v**2 + 258*v - 8
What is the n'th term of 485, 646, 915, 1292, 1777?
54*n**2 - n + 432
What is the g'th term of -4830, -4885, -4976, -5103, -5266, -5465?
-18*g**2 - g - 4811
What is the a'th term of -138743, -277489, -416235, -554981, -693727?
-138746*a + 3
What is the q'th term of 973, 1287, 1615, 1963, 2337?
q**3 + q**2 + 304*q + 667
What is the k'th term of 10522, 21211, 31900?
10689*k - 167
What is the k'th term of 294, 390, 490, 594, 702?
2*k**2 + 90*k + 202
What is the y'th term of -498, -741, -1144, -1707?
-80*y**2 - 3*y - 415
What is the o'th term of 3660, 7316, 10972, 14628, 18284?
3656*o + 4
What is the u'th term of -987, -1985, -2995, -4017, -5051, -6097, -7155?
-6*u**2 - 980*u - 1
What is the x'th term of -623, -1032, -1441, -1850, -2259?
-409*x - 214
What is the v'th term of 10089, 40296, 90641, 161124, 251745?
10069*v**2 + 20
What is the q'th term of -69, -81, -39, 57?
27*q**2 - 93*q - 3
What is the r'th term of 53, 22, -1, -16, -23, -22, -13?
4*r**2 - 43*r + 92
What is the c'th term of -293, -1131, -2515, -4445, -6921, -9943?
-273*c**2 - 19*c - 1
What is the d'th term of -60, -282, -678, -1248, -1992, -2910, -4002?
-87*d**2 + 39*d - 12
What is the r'th term of -78809, -157614, -236417, -315218, -394017, -472814?
r**2 - 78808*r - 2
What is the h'th term of -2582, -2608, -2654, -2726, -2830, -2972, -3158, -3394?
-h**3 - 4*h**2 - 7*h - 2570
What is the f'th term of 62574, 125183, 187806, 250449, 313118?
f**3 + f**2 + 62599*f - 27
What is the b'th term of -86412, -172826, -259240, -345654, -432068?
-86414*b + 2
What is the g'th term of -6354, -12663, -18972, -25281?
-6309*g - 45
What is the m'th term of -61, -212, -443, -736, -1073, -1436, -1807, -2168?
3*m**3 - 58*m**2 + 2*m - 8
What is the z'th term of 13, -297, -1157, -2843, -5631?
-46*z**3 + z**2 + 9*z + 49
What is the s'th term of 100, 396, 980, 1924, 3300, 5180, 7636?
12*s**3 + 72*s**2 - 4*s + 20
What is the a'th term of 2610, 2626, 2662, 2724, 2818?
a**3 + 4*a**2 - 3*a + 2608
What is the g'th term of 13382, 13389, 13396?
7*g + 13375
What is the i'th term of 155, 414, 673?
259*i - 104
What is the c'th term of -46870, -93741, -140612?
-46871*c + 1
What is the t'th term of 758, 1769, 3030, 4541, 6302, 8313, 10574?
125*t**2 + 636*t - 3
What is the r'th term of -27030, -54053, -81078, -108105, -135134?
-r**2 - 27020*r - 9
What is the g'th term of 24160, 24161, 24162, 24163, 24164?
g + 24159
What is the y'th term of 454, 844, 1494, 2404, 3574, 5004?
130*y**2 + 324
What is the f'th term of -15201, -15224, -15259, -15306, -15365, -15436, -15519?
-6*f**2 - 5*f - 15190
What is the l'th term of -1984, -3950, -5914, -7876, -9836?
l**2 - 1969*l - 16
What is the g'th term of -292, -524, -638, -574, -272, 328, 1286, 2662?
10*g**3 - g**2 - 299*g - 2
What is the s'th term of -73470, -73469, -73468?
s - 73471
What is the d'th term of -556856, -1113712, -1670568?
-556856*d
What is the p'th term of -59955, -119934, -179913?
-59979*p + 24
What is the r'th term of 21, -434, -1667, -4068, -8027, -13934, -22179, -33152?
-65*r**3 + r**2 - 3*r + 88
What is the d'th term of 130, 220, 310, 400, 490?
90*d + 40
What is the h'th term of -567, -2213, -4931, -8715, -13559, -19457?
h**3 - 542*h**2 - 27*h + 1
What is the m'th term of 9687, 19373, 29055, 38733?
-2*m**2 + 9692*m - 3
What is the h'th term of 13, 8, 7, 10?
2*h**2 - 11*h + 22
What is the l'th term of -281, -333, -411, -515, -645, -801, -983?
-13*l**2 - 13*l - 255
What is the x'th term of 5074, 40615, 137070, 324895, 634546, 1096479, 1741150?
5076*x**3 + x**2 + 6*x - 9
What is the d'th term of -29, -113, -231, -383, -569?
-17*d**2 - 33*d + 21
What is the l'th term of -237, -452, -667, -882, -1097, -1312?
-215*l - 22
What is the i'th term of 89, 44, -53, -226, -499, -896, -1441, -2158?
-4*i**3 - 2*i**2 - 11*i + 106
What is the c'th term of 3515, 3488, 3443, 3380, 3299, 3200, 3083?
-9*c**2 + 3524
What is the r'th term of -39, -213, -677, -1575, -3051, -5249?
-24*r**3 - r**2 - 3*r - 11
What is the c'th term of -157, -578, -1285, -2272, -3533, -5062, -6853, -8900?
c**3 - 149*c**2 + 19*c - 28
What is the y'th term of 920, 1912, 2988, 4154, 5416, 6780, 8252, 9838?
y**3 + 36*y**2 + 877*y + 6
What is the h'th term of 39705, 79418, 119139, 158874, 198629?
h**3 - 2*h**2 + 39712*h - 6
What is the q'th term of -3210, -6145, -9080, -12015, -14950?
-2935*q - 275
What is the j'th term of -119309, -119295, -119279, -119261?
j**2 + 11*j - 119321
What is the n'th term of 2472, 2821, 3170?
349*n + 2123
What is the w'th term of 5611, 11199, 16787, 22375?
5588*w + 23
What is the u'th term of 1199, 1218, 1159, 1016, 783, 454?
-u**3 - 33*u**2 + 125*u + 1108
What is the q'th term of -1078534, -1078540, -1078546?
-6*q - 1078528
What is the a'th term of 3653, 14167, 31691, 56225, 87769?
3505*a**2 - a + 149
What is the s'th term of -1318, -1554, -1778, -1990, -2190, -2378, -2554?
6*s**2 - 254*s - 1070
What is the r'th term of 173, 610, 1337, 2354, 3661, 5258?
145*r**2 + 2*r + 26
What is the u'th term of -2006, -2381, -2756, -3131?
-375*u - 1631
What is the x'th term of -82268, -82283, -82296, -82307, -82316, -82323?
x**2 - 18*x - 82251
What is the u'th term of -559, -545, -531, -517?
14*u - 573
What is the o'th term of -432, -1721, -3862, -6849, -10676, -15337, -20826, -27137?
o**3 - 432*o**2 - 1
What is the n'th term of 21527, 43056, 64585, 86114?
21529*n - 2
What is the q'th term of -7871, -7869, -7867?
2*q - 7873
What is the t'th term of -158163, -316325, -474487, -632649?
-158162*t - 1
What is the h'th term of -3853, -7855, -12003, -16297, -20737, -25323, -30055?
-73*h**2 - 3783*h + 3
What is the g'th term of -137, -490, -1055, -1838, -2845?
-g**3 - 100*g**2 - 46*g + 10
What is the b'th term of -84796, -84795, -84794?
b - 84797
What is the o'th term of 403, 528, 245, -440, -1521, -2992, -4847, -7080?
o**3 - 210*o**2 + 748*o - 136
What is the b'th term of -2352, -9418, -21200, -37704, -58936, -84902?
-b**3 - 2352*b**2 - 3*b + 4
What is the y'th term of -2570, -5133, -7696?
-2563*y - 7
What is the l'th term of 28, 52, 98, 160, 232, 308?
-l**3 + 17*l**2 - 20*l + 32
What is the z'th term of -5125, -5106, -5061, -4978, -4845, -4650, -4381?
2*z**3 + z**2 + 2*z - 5130
What is the x'th term of 551, 2237, 5051, 8993, 14063, 20261, 27587?
564*x**2 - 6*x - 7
What is the b'th term of 285, 579, 903, 1263, 1665?
b**3 + 9*b**2 + 260*b + 15
What is the h'th term of 103, 34, -35, -104, -173?
-69*h + 172
What is the l'th term of -282, -1036, -2264, -3966?
-237*l**2 - 43*l - 2
What is the c'th term of 188, 573, 1212, 2105, 3252, 4653, 6308?
127*c**2 + 4*c + 57
What is the i'th term of 15706, 15700, 15690, 15676, 15658, 15636?
-2*i**2 + 15708
What is the z'th term of -841, -1665, -2489?
-824*z - 17
What is the v'th term of -4365, -8751, -13157, -17595, -22077, -26615, -31221, -35907?
-2*v**3 + 2*v**2 - 4378*v + 13
What is the o'th term of -1416, -1482, -1542, -1596, -1644, -1686?
3*o**2 - 75*o - 1344
What is the f'th term of 289, 556, 833, 1126, 1441, 1784?
f**3 - f**2 + 263*f + 26
What is the q'th term of -227, -923, -1621, -2321?
-q**2 - 693*q + 467
What is the j'th term of 6, 57, 190, 453, 894, 1561?
8*j**3 - 7*j**2 + 16*j - 11
What is the m'th term of -1382, -2387, -3390, -4391?
m**2 - 1008*m - 375
What is the f'th term of 432, 1729, 3886, 6903, 10780, 15517?
430*f**2 + 7*f - 5
What is the o'th term of -5711, -11608, -17517, -23444, -29395, -35376?
-o**3 - 5890*o + 180
What is the u'th term of 842, 751, 666, 593, 538?
u**3 - 3*u**2 - 89*u + 933
What is the c'th term of -6141, -6118, -6097, -6078, -6061, -6046, -6033?
-c**2 + 26*c - 6166
What is the g'th term of -880, | {
"pile_set_name": "DM Mathematics"
} |
2/(-5) - 9/(-35). Let v = -11 + 22. Let a = -8 + v. What is the third smallest value in g, -0.5, a?
a
Let v(q) = q**2 - 8*q + 7. Let w be v(7). Let x = 1 + -0.6. Let m = 0.6 + x. Which is the second biggest value? (a) 2 (b) m (c) w
b
Let g be 2/(-5)*15/12. Let d = 9 - 4. What is the third biggest value in d, -1, g?
-1
Suppose 4 + 6 = 5*u. Let i be (-4)/(u + 9/(-6)). Let f be (-2)/i*(0 + -2). What is the third smallest value in 0.5, 1, f?
1
Let o = -163972 - -1309317/8. Let u = o - -307. Let q = 0.1 + 0.1. What is the third biggest value in u, -4/5, q?
-4/5
Let q = -30 + 84. Let j = -53/138 - -14941/276. Let t = q - j. What is the second biggest value in t, 1/7, 1?
t
Let m(w) = -5*w**2 - 4*w. Let g be m(-1). What is the fourth biggest value in 0.2, 2, -5, g?
-5
Suppose 2 + 0 = 3*f - 5*q, 5*f - 4*q - 12 = 0. Let k = -58/3 + 19. What is the third biggest value in k, 0, f?
k
Let m be 4/(-14)*(0 - 9). Let u = -15/7 + m. Which is the third smallest value? (a) -2/9 (b) u (c) -1
b
Let t = -322 - -1937/6. Let s = -17 - -12. What is the third biggest value in t, -2/23, s?
s
Let u = 0.7 - 5.7. Let f = u + 1. Let r = 7.8 + -9.8. What is the third smallest value in 0.4, r, f?
0.4
Let n = -31 + 11. Let y = 9 + n. Let x = y + 6. Which is the second smallest value? (a) 0.2 (b) -1/8 (c) x
b
Let r = -867 + 871.09. Let u = -0.09 + r. What is the biggest value in -1, u, 3?
u
Let i be 1*16/6 + -1. Let l = -44 + 48. Which is the smallest value? (a) -2/3 (b) i (c) l
a
Let t = -1.2 - -0.2. Let v = 1 + t. Let w = -0.4 - -0.8. What is the third biggest value in v, w, 1/2?
v
Suppose 5*q = -f + 6, 3*q - q = 5*f + 24. Let v be 1/4 - 17/4. Let s be v/14 + (-1)/(-28). Which is the third smallest value? (a) 2 (b) f (c) s
a
Let d = -2.39 - -1.42. Let x = 0.03 - d. Let g = 2.6 + -3. What is the second biggest value in 0.2, x, g?
0.2
Let u = -90 + 94.9. Let o = u - -1.1. Which is the third biggest value? (a) -1 (b) o (c) 2/3
a
Suppose -4*p - 35 = -4*f - 9*p, -f + 5*p = 10. Let r = 29 - 33. Which is the second biggest value? (a) -0.5 (b) f (c) r
a
Let n = 20 + -19.6. Which is the second biggest value? (a) n (b) 2 (c) -1
a
Let z = -0.22 + -0.18. Which is the second smallest value? (a) 0 (b) 4/5 (c) z
a
Let u = 2.8 + -2.7. What is the fourth smallest value in 1/9, -1/3, -2, u?
1/9
Let u = 0.17 + 3.83. What is the biggest value in 5, 0.1, 0.2, u?
5
Let k = 0.65 - -1.35. Which is the biggest value? (a) k (b) -1 (c) -1/10
a
Let q be 3/(-108) - 6/(-24). What is the smallest value in 4, q, -4?
-4
Let l = 0.03 - 0.53. Let k = l - 0. Suppose y + 0*d = 3*d - 12, 5*d - 37 = -4*y. Which is the biggest value? (a) 2/11 (b) k (c) y
c
Let k = -2.08 + 0.08. Let u = -4.02 - -0.02. Let g = u - k. What is the biggest value in -0.5, g, 2?
2
Let u = 21 + 7. Let g = u + -31. Let s = -37/55 + 3/11. Which is the smallest value? (a) g (b) -2 (c) s
a
Let l = -14.4 + 13.9. Which is the third smallest value? (a) l (b) 3 (c) -5
b
Let s be (54/(-48))/((-9)/6). Which is the third biggest value? (a) 3 (b) -3 (c) s
b
Let m = 2.4 + 9.6. Let i = 6 - m. Let c = 10 + i. What is the third biggest value in -2/7, c, 0.3?
-2/7
Let t = -10 + 9.6. What is the second smallest value in t, -0.2, -5?
t
Let o(f) = f**2 - 2*f - 8. Let t be o(6). Let s = 10 - t. Let p be (-2)/(-6)*s/10. Which is the second biggest value? (a) p (b) 3 (c) 0
c
Let g = -192 - -192. Which is the fourth smallest value? (a) g (b) 2 (c) -0.5 (d) -4
b
Suppose 5*i + 56 = 5*o + 6, -5*i + 76 = 4*o. What is the biggest value in -1, o, 3?
o
Suppose 3*h + 112 = -284. Let o be (-4)/14 - h/315. What is the smallest value in o, 5, 0.3?
o
Let j = -148 + 1481/10. Let y = -0.09 - 4.91. What is the third smallest value in 1/3, j, y?
1/3
Let k be ((-3)/(-12))/1*-1. Let s = 34/23 + 1094/69. Let d = 376/21 - s. What is the third biggest value in 4, d, k?
k
Let m = -0.5 + 0.6. Let y = 0 - 2. Let r = 2.5 - 0.5. Which is the third biggest value? (a) m (b) r (c) y
c
Let y be (-30)/8 - (-1)/(-4). Let l be (-2)/(y/((-8)/2)). Which is the second smallest value? (a) 1/2 (b) l (c) -0.3
c
Let p = 0.9 - 1.9. Let q = p - 4. Which is the smallest value? (a) 0.5 (b) q (c) -2/7
b
Suppose 11*y = 4*y + 28. Let w = 5.13 - 0.13. Let n(o) = o**3 + 2*o**2 - o - 1. Let q be n(-2). Which is the third smallest value? (a) q (b) w (c) y
b
Let j = -0.8 + 5.8. Suppose 2 = 2*k - 4*g, 4*k - 4*g = -3*g - 10. Let h = k + 4. Which is the biggest value? (a) 0.1 (b) h (c) j
c
Let m = 79 - 78.9. What is the smallest value in m, -1/2, 0.3?
-1/2
Let y = 21.2 + -16.2. Let m(g) = g + 2. Let u be m(-4). What is the third smallest value in y, u, -5?
y
Let r(j) = 46*j**3 + 2*j**2 + j. Let q be r(-1). Let z be 4/q*6/(-4). Let u be (-4)/(-10)*(-5)/(-4). What is the second smallest value in u, z, 1?
u
Let r = -0.04 + -4.96. Let s = 5.5 + r. Which is the second smallest value? (a) 5 (b) -5 (c) s
c
Let g = 1 + -0.7. Let n = -2/145 + 31/145. What is the smallest value in n, g, 1?
n
Let u = 5 - 2. Which is the third smallest value? (a) -4/3 (b) -5 (c) u (d) -4
a
Let i = -16 + 15. Which is the second smallest value? (a) 0 (b) 1/4 (c) i
a
Let m = 0.13 + -0.23. What is the third smallest value in m, -3, 3?
3
Let j = 22 - 22.9. Let q = -0.9 - j. Which is the third biggest value? (a) -4 (b) 5 (c) q
a
Let r = -148 + 158. What is the third biggest value in r, 1, -1, 2/7?
2/7
Let t = -13 + 16. Let p = -0.27 + -0.03. Let v = 0.2 - p. Which is the smallest value? (a) v (b) t (c) -0.5
c
Let l = 5.5 + -6. What is the smallest value in l, -4/7, 3?
-4/7
Let s = 2.1 + -2. Let q = -6.1 - -6. What is the third biggest value in q, -1, s?
-1
Suppose 29*n - 12 = 23*n. Which is the fourth smallest value? (a) n (b) -2/9 (c) -1/2 (d) -2/13
a
Let d be ((-2)/6)/((-5)/45). Let i be d/(-6) + 1/(-6). Which is the second smallest value? (a) -2/5 (b) -2 (c) i
c
Let k(o) = o + 8. Let n be k(-4). Let b be n/(-3) + 3 + -1. Let u = 0.2 - -3.8. What is the biggest value in b, -4, u?
u
Let f = -0.16 - -0.06. Let q = f + 0.6. What is the biggest value in 0, -0.5, q?
q
Let h = 11 - 15. Suppose 0*f = 2*f - 5*f. Which is the second smallest value? (a) 0.2 (b) f (c) h
b
Let u be (-2266)/(-1596) + -1 + 0. Let j = 1/114 + u. Which is the third biggest value? (a) 5 (b) -0.5 (c) j
b
Let f = -1.8 - -1.3. What is the smallest value in -3, f, -2/3?
-3
Let u = 7 - 13/2. What is the second biggest value in u, -3, 0.3?
0.3
Let u = -156/5 + 31. Which is the second biggest value? (a) -0.3 (b) u (c) -8
a
Let u = -39/76 + 5/19. Let h = 2.04 - 0.04. Let k = h - 5. What is the second biggest value in u, -0.1, k?
u
Let m(l) = 7*l - 23*l**2 - 6 + 14*l**2 + 8*l**2. Let j be (-2 + 1)*1*-6. Let r be m(j). Which is the third biggest value? (a) -1/5 (b) 4 (c) r
a
Let y(p) = -p**3 - 6*p**2 + 7*p + 7. Let h be y(-7). Let i be (-352)/(-140) + 2/h. Let s = 3 - i. Which is the biggest value? (a) 1 (b) -2 (c) s
a
Let v be (-3)/((-6)/4) - -4. Let m be -2 - (1 - v/4). Which is the second smallest value? (a) -2/5 (b) m (c) 1/5
a
Let k be ((6/(-4))/(-1))/(-9). Let s = -0.3 - 1.7. Which is the third biggest value? (a) 1 (b) k (c) s
c
Let z be (-8)/14*(0 + (-5)/10). What is the fourth smallest value in 0.3, 0.2, z, 3/5?
3/5
Suppose 0 = 8*h + 4*h. Let z = -3.96 - 0.04. Which is the third biggest value? (a) 1 (b) z (c) h
b
Let z be ((-2)/24)/((-9)/(-27)). Which is the smallest value? (a) 2 (b) z (c) -2 (d) -4
d
Let s be (4/3)/(2/3). Suppose -5*v + 2 - 22 = 0. Which is the second smallest value? (a) v (b) -1/9 (c) s
b
Let c = 24/13 - 203/117. What is the third smallest value in 2/3, c, -3/8, -0.3?
c
Let x be (7/3)/((-1)/9). Let f be 30/x*(-4)/10. Let g = 121/185 + -2/37. Which is the second biggest value? (a) g (b) f (c) 2/15
b
Let l = 54.1 + -57. Let j = l - 2.1. Which is the biggest value? (a) 0.5 (b) 0.4 (c) j
a
Let h = 931 + -623. Let f = 3390/11 - h. Let t = -117/5 - -23. Which is the second biggest value? (a) 0.3 (b) t (c) f
c
Let r = -6 - 1. Let a = -10 - r. What is the second biggest value in a, 0.2, -2?
-2
Let c = -5.53 + 5.93. Let b = 2 + -3. What is the second smallest value in -0.4, b, c?
-0.4
Let s = -0.95 - 1.05. Which is the fourth biggest value? (a) | {
"pile_set_name": "DM Mathematics"
} |
55
What is prob of picking 1 o and 2 y when three letters picked without replacement from dyoy?
1/4
What is prob of picking 1 t, 1 r, 1 l, and 1 s when four letters picked without replacement from {z: 2, r: 1, q: 2, t: 1, l: 2, s: 1}?
1/63
What is prob of picking 2 r, 1 n, and 1 i when four letters picked without replacement from {a: 2, h: 1, v: 2, n: 4, i: 3, r: 3}?
12/455
Two letters picked without replacement from {b: 1, h: 2, o: 3, p: 2, l: 6}. What is prob of picking 1 p and 1 h?
4/91
Calculate prob of picking 3 c when three letters picked without replacement from acuuccuuu.
1/84
Two letters picked without replacement from didddddedide. Give prob of picking 1 e and 1 i.
2/33
Four letters picked without replacement from {s: 9, f: 4, t: 1}. What is prob of picking 3 s and 1 t?
12/143
Calculate prob of picking 2 f when two letters picked without replacement from {z: 2, f: 3, y: 12, s: 3}.
3/190
What is prob of picking 1 s and 1 e when two letters picked without replacement from xrhseaxa?
1/28
Two letters picked without replacement from {v: 3, o: 2}. Give prob of picking 1 o and 1 v.
3/5
Calculate prob of picking 1 y and 1 z when two letters picked without replacement from zyytgttttytytzttt.
1/17
Three letters picked without replacement from zwwrhzwzwzu. What is prob of picking 1 z and 2 w?
8/55
Three letters picked without replacement from uubqtuoubq. Give prob of picking 2 q and 1 o.
1/120
Calculate prob of picking 2 l when two letters picked without replacement from {e: 11, l: 9}.
18/95
Calculate prob of picking 1 w and 2 u when three letters picked without replacement from uuuwwwuuwuuuwuuuwwww.
33/76
Three letters picked without replacement from tnsnoassaaasn. What is prob of picking 1 s and 2 n?
6/143
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from nnnndhchnncnhh.
4/13
What is prob of picking 2 a and 2 c when four letters picked without replacement from {c: 2, a: 7}?
1/6
Three letters picked without replacement from mummmmuu. Give prob of picking 2 u and 1 m.
15/56
Three letters picked without replacement from ckqcllt. Give prob of picking 1 l and 2 c.
2/35
Three letters picked without replacement from tltlllltllll. What is prob of picking 3 t?
1/220
Three letters picked without replacement from rqmqqmqurrrqqqruqqu. Give prob of picking 2 q and 1 r.
60/323
Four letters picked without replacement from ooooooiooooi. What is prob of picking 4 o?
14/33
Two letters picked without replacement from rtcyccctjczcjccj. Give prob of picking 2 j.
1/40
What is prob of picking 1 j and 1 p when two letters picked without replacement from {a: 1, j: 1, p: 1}?
1/3
Four letters picked without replacement from ttssdd. Give prob of picking 2 t and 2 s.
1/15
What is prob of picking 1 s and 3 g when four letters picked without replacement from {g: 9, w: 1, s: 1}?
14/55
What is prob of picking 2 x when two letters picked without replacement from wiwxwwwbxwwwwowqwwx?
1/57
Two letters picked without replacement from wfcxwececxhf. What is prob of picking 1 h and 1 c?
1/22
Three letters picked without replacement from {x: 2, w: 1, z: 10, g: 2, n: 1, f: 2}. What is prob of picking 2 f and 1 z?
5/408
Calculate prob of picking 1 e and 1 a when two letters picked without replacement from aajeo.
1/5
Calculate prob of picking 1 d and 2 z when three letters picked without replacement from dzzzzzzzzzzdzzzdzdz.
140/323
What is prob of picking 1 k and 1 h when two letters picked without replacement from bhkbkkkkhkhhhkk?
8/21
Three letters picked without replacement from sssaaasxaasb. Give prob of picking 2 s and 1 b.
1/22
Calculate prob of picking 1 q, 1 r, and 1 w when three letters picked without replacement from {q: 8, w: 1, r: 11}.
22/285
Four letters picked without replacement from {e: 1, u: 1, o: 1, a: 1, q: 5}. What is prob of picking 1 u and 3 q?
5/63
What is prob of picking 1 b, 1 y, and 2 f when four letters picked without replacement from bxbdxbbfsbdbyfbbbf?
3/340
What is prob of picking 2 p when two letters picked without replacement from {p: 2, a: 2}?
1/6
Calculate prob of picking 2 y when two letters picked without replacement from {w: 3, f: 1, y: 6, s: 4}.
15/91
Calculate prob of picking 1 s and 2 v when three letters picked without replacement from vvvvvsvv.
3/8
Three letters picked without replacement from fdddddhdl. Give prob of picking 1 d, 1 l, and 1 h.
1/14
Four letters picked without replacement from {a: 1, u: 6, p: 1, f: 9}. Give prob of picking 3 f and 1 p.
3/85
Three letters picked without replacement from {w: 4, h: 3}. What is prob of picking 3 w?
4/35
Two letters picked without replacement from jwmnmqmmqqqnmom. What is prob of picking 1 q and 1 w?
4/105
Three letters picked without replacement from gjxxxkkkkvngxxnvxv. What is prob of picking 1 n, 1 v, and 1 k?
1/34
What is prob of picking 4 f when four letters picked without replacement from qqqqqqffqq?
0
Two letters picked without replacement from adndnnannndnnannnnnd. Give prob of picking 1 a and 1 d.
6/95
Calculate prob of picking 1 l and 2 q when three letters picked without replacement from lqlqqqlyqqyl.
3/11
Four letters picked without replacement from {m: 2, d: 1, a: 2, e: 1, k: 1, i: 1}. What is prob of picking 2 a, 1 k, and 1 e?
1/70
Two letters picked without replacement from vvvvkuvkvkkkukkv. What is prob of picking 1 v and 1 k?
49/120
What is prob of picking 1 y, 1 m, and 2 w when four letters picked without replacement from {y: 7, n: 1, v: 2, m: 1, s: 2, w: 2}?
1/195
Three letters picked without replacement from {d: 6, a: 7}. What is prob of picking 3 d?
10/143
Calculate prob of picking 1 p and 3 b when four letters picked without replacement from rrjajbpbaaajbjaj.
1/1820
Four letters picked without replacement from {o: 7, l: 2}. Give prob of picking 2 l and 2 o.
1/6
Two letters picked without replacement from {q: 1, h: 2, v: 3, t: 3, p: 4, c: 3}. Give prob of picking 1 v and 1 q.
1/40
What is prob of picking 1 x, 1 b, and 2 d when four letters picked without replacement from {b: 3, d: 2, x: 3}?
9/70
Two letters picked without replacement from gbd. Give prob of picking 1 b and 1 d.
1/3
What is prob of picking 1 g and 1 f when two letters picked without replacement from fzzgoehoehehz?
1/78
Three letters picked without replacement from zbbzhzzbtbzb. What is prob of picking 2 z and 1 b?
5/22
Calculate prob of picking 1 k and 2 r when three letters picked without replacement from rkkjkkkjr.
5/84
Two letters picked without replacement from zjjaicjjcjizijzzjij. What is prob of picking 1 z and 1 a?
4/171
What is prob of picking 1 g, 1 q, and 1 b when three letters picked without replacement from {g: 2, b: 6, h: 2, s: 1, q: 4}?
48/455
Three letters picked without replacement from jjegjgjjljjegljjgg. What is prob of picking 3 j?
7/68
What is prob of picking 1 p and 2 i when three letters picked without replacement from pxxxwpiiiipi?
3/22
Three letters picked without replacement from {s: 3, x: 3, r: 7}. Give prob of picking 3 r.
35/286
Calculate prob of picking 2 o when two letters picked without replacement from cjjooojo.
3/14
Calculate prob of picking 2 j and 1 v when three letters picked without replacement from {v: 2, q: 1, j: 2, x: 1}.
1/10
Calculate prob of picking 1 f, 1 a, and 1 b when three letters picked without replacement from ajojbjjjjjjfbf.
1/91
Two letters picked without replacement from qsbke. Give prob of picking 1 e and 1 q.
1/10
What is prob of picking 1 z and 1 l when two letters picked without replacement from {v: 3, l: 3, p: 2, z: 3, o: 3}?
9/91
Calculate prob of picking 2 y when two letters picked without replacement from yyi.
1/3
What is prob of picking 2 e when two letters picked without replacement from eeceejeeceeeejecjee?
26/57
Three letters picked without replacement from wwqwwwwpqqwwwww. What is prob of picking 2 q and 1 p?
3/455
Four letters picked without replacement from ttfttffffxfff. What is prob of picking 2 t and 2 f?
168/715
Calculate prob of picking 2 x when two letters picked without replacement from ufffuuuubbfxxuufufu.
1/171
What is prob of picking 1 g and 1 k when two letters picked without replacement from ghhkh?
1/10
Two letters picked without replacement from frprprprprrrp. What is prob of picking 1 f and 1 | {
"pile_set_name": "DM Mathematics"
} |
(x).
-3*x**2 + x - 1
Let a(o) = -o**3 + 4*o**2 + 12*o - 400. Let h(z) = 2*z**3 - 5*z**2 - 15*z + 399. What is -5*a(y) - 4*h(y)?
-3*y**3 + 404
Let y(l) = -6682718*l**3 - 12950*l**2 + 64750*l + 12950. Let q(t) = -1548*t**3 - 3*t**2 + 15*t + 3. Calculate -25900*q(n) + 6*y(n).
-3108*n**3
Let y(h) = 333*h + 332*h - 672*h - 15 + 17. Let r(t) = -14*t + 5. Give 3*r(b) - 7*y(b).
7*b + 1
Let y(j) = 2*j**3 + 14*j**2 + 60*j + 54. Let s(n) = 2*n**3 + 14*n**2 + 75*n + 52. Give -4*s(b) + 5*y(b).
2*b**3 + 14*b**2 + 62
Let y(c) = -59305 - c - 2*c + 59306. Suppose -3*f = 3*l + 48, 2*f + 5*l + 32 = l. Let j = 27 + f. Let n(a) = -15*a + 6. Give j*y(r) - 2*n(r).
-3*r - 1
Let f(c) = c. Let i = 29822 - 29823. Let w(g) = -4*g + 4. Determine i*w(t) - 6*f(t).
-2*t - 4
Let t(l) = 45*l**2 + 2*l + 1. Let n(b) = 179*b**2 + 9*b + 5. Give 4*n(g) - 18*t(g).
-94*g**2 + 2
Let a(c) = -11*c**3 + 7*c**2 - 2*c - 7. Let l(r) = -51*r + 166*r + 3 + 5*r**3 - 59*r - 55*r - 4*r**2 + 1. Determine 4*a(o) + 7*l(o).
-9*o**3 - o
Let p(i) = i**3 - 11*i**2 + 9. Let o(g) = -5*g**2 + 4. Suppose 0 = -6*h + 5 + 19. Suppose 11*y - 7*y + 26 = 5*b, 5*y = -3*b - 51. Determine h*p(l) + y*o(l).
4*l**3 + l**2
Let a(j) = 50*j + 176. Let w(i) = -29*i - 87. Give 4*a(c) + 7*w(c).
-3*c + 95
Let l be (-7420)/(-795)*9/(-2). Let n(c) = 434*c. Let k(y) = -51*y. Determine l*k(j) - 5*n(j).
-28*j
Let w(k) be the second derivative of -k**4/12 - k**2 - 5*k. Let i(q) = -2*q**2 - 4. Suppose 2*c - 9*c = 0. Suppose c = 3*o - 7*o - 36. What is o*w(x) + 4*i(x)?
x**2 + 2
Let d(l) = 39*l + 6. Let t(k) = -23*k + 44. Let r(f) = -29*f + 51. Let a(p) = -6*r(p) + 7*t(p). Determine 8*a(u) - 3*d(u).
-13*u - 2
Let u(f) = f**3 - f**2 + 4*f + 1. Let x(z) = -15*z**3 + 8*z**2 - 85*z - 10. Calculate -8*u(l) - x(l).
7*l**3 + 53*l + 2
Let m(y) = y**3 - y**2 - y - 1. Let q(o) = -15*o**3 - 3*o**2 - o - 1. Let t = -3250 + 3251. Calculate t*m(f) - q(f).
16*f**3 + 2*f**2
Let w = -273 - -276. Suppose w*d = 3*u, -4*u = 5*d + 20 + 7. Let k(j) = -5*j + 13. Let a(f) = -2*f + 6. Determine d*k(q) + 7*a(q).
q + 3
Let s(a) = -993*a**2 + 12. Let m(h) = 992*h**2 - 9. Give 4*m(p) + 3*s(p).
989*p**2
Let j(u) = -5*u + 2. Let v = 22 - 16. Let g(d) = -4 - 8*d + 10 - v*d. Suppose 2*f - 4*k = -4, -6*f = -8*f + k - 10. What is f*g(b) + 17*j(b)?
-b - 2
Let q(f) = 9*f - 125. Let i(o) = -6864*o + 6860*o + 190 - 128. Calculate -7*i(x) - 3*q(x).
x - 59
Let v(d) = -886*d**2 + 9*d - 18. Let g(f) = 886*f**2 - 7*f + 15. What is -6*g(m) - 5*v(m)?
-886*m**2 - 3*m
Let p(m) = m**3 + 21*m**2 + 7*m - 6. Let w(u) = 4*u**3 + 41*u**2 + 17*u - 11. Determine 5*p(k) - 2*w(k).
-3*k**3 + 23*k**2 + k - 8
Let u(t) = -5*t**3 - 3*t**2 + 3*t - 48. Let n(r) = -17*r**3 - 8*r**2 + 8*r - 145. Determine 3*n(s) - 8*u(s).
-11*s**3 - 51
Let d(a) = -a**3. Let b(w) = -155*w**3 - 40*w**2 - 5. Let c(p) = 928*p**3 + 232*p**2 + 29. Let i(h) = -29*b(h) - 5*c(h). Give 174*d(o) - i(o).
-29*o**3
Let d(i) = -50*i - 11. Let q(g) = 17*g + 4. Suppose 0 = -3*a + 4*n - 28, -79*a + 75*a + 5*n = 36. Determine a*d(b) - 11*q(b).
13*b
Let y(t) = -1231*t**3 + 13*t**2 + 110*t + 11. Let m(w) = 308*w**3 - 3*w**2 - 30*w - 3. Give 11*m(s) + 3*y(s).
-305*s**3 + 6*s**2
Let p(x) = -4*x**3 + x**2 - 2*x - 1. Let h(c) = 35*c**3 + 3*c**2 - c - 1. Calculate -h(n) + 3*p(n).
-47*n**3 - 5*n - 2
Let v(o) = 3*o**3 - 525*o**2 - 9*o - 5. Let f(r) = r**3 - 262*r**2 - 5*r - 3. Determine -5*f(m) + 3*v(m).
4*m**3 - 265*m**2 - 2*m
Let g(i) = -6*i - 3. Let s be g(1). Suppose -3*f + 2*p + 8 = 0, 0*f + p + 4 = -4*f. Let k(t) = f*t + 8 - 5 - 1 - 2*t. Let u(x) = -4*x + 5. Give s*k(v) + 4*u(v).
2*v + 2
Let h(m) be the first derivative of 15*m**2/2 + 13*m - 647. Let d(a) = -7*a - 6. Calculate 9*d(q) + 4*h(q).
-3*q - 2
Let v(w) = -w**2 + 3*w. Let t(s) = -3*s**2 - 205*s. Give -t(d) - 3*v(d).
6*d**2 + 196*d
Let d(p) = 3*p + 1. Let o(j) = 6 + 12 - 14. Let u(f) = 7. Let b(c) = 2*o(c) - u(c). Determine -2*b(t) + d(t).
3*t - 1
Suppose 0 = 112*j - 201*j + 267. Let v(g) = -10*g - 6. Let r(i) = -2*i - 1. Determine j*v(p) - 16*r(p).
2*p - 2
Let m(v) = -149225*v + 5640. Let q(z) = 238*z - 9. Give 3*m(u) + 1880*q(u).
-235*u
Let n(g) = 5*g**3 - 12*g**2 + 2194. Let k(s) = -4*s**3 + 9*s**2 - 2188. Give 4*k(b) + 3*n(b).
-b**3 - 2170
Let r be 7/28 + (-97)/4. Let b be (-9)/(2 - (-66)/r). Let x(q) = -2*q**2 - 2*q. Let a(f) = f**2 + f. What is b*a(y) + 5*x(y)?
2*y**2 + 2*y
Let o(v) = 124*v**3 - 5*v**2 + 43*v + 30. Let g(l) = 62*l**3 - 3*l**2 + 22*l + 18. Determine -5*g(k) + 3*o(k).
62*k**3 + 19*k
Let v be ((-24)/(-30) - 0)/(2/(-40)). Let g be (-1*44/v + 0)*8. Let j(s) = -16*s**2 + 11. Let t(l) = 3*l**2 - 2. Determine g*t(a) + 4*j(a).
2*a**2
Let u(s) = 7*s**2 + 12*s + 3. Let z(l) = -21*l**2 - 39*l - 11. Calculate 19*u(j) + 6*z(j).
7*j**2 - 6*j - 9
Let p(d) = -1. Let t be (12/(-3) - -12) + 210. Let g = 219 - t. Let y(s) be the first derivative of s**2/2 + 2*s - 1. Determine g*y(m) + 6*p(m).
m - 4
Let n(s) = 3*s - 13. Suppose 0 = 20*t - 54 + 14. Let x(v) = v - 6. Calculate t*n(o) - 5*x(o).
o + 4
Let q(g) = -13*g - 3. Let z(x) = -22*x - 8. What is 5*q(v) - 2*z(v)?
-21*v + 1
Let d(b) = -11*b - 240. Let k(u) = 3*u + 7. Calculate -d(r) - 4*k(r).
-r + 212
Let f(i) be the first derivative of 15*i**2 + 3. Let d(s) = -6*s. Let b = -40 - -55. Suppose -3*x = -3 + b. Give x*f(z) - 21*d(z).
6*z
Let u(o) = 2*o**3 - 413*o**2 - 4*o - 3. Let s(m) = 6*m**3 - 1239*m**2 - 10*m - 8. Give 3*s(g) - 8*u(g).
2*g**3 - 413*g**2 + 2*g
Let s(m) = -4*m - 7. Let x(j) = -j - 2. Let o be ((-16)/(-200)*55)/(38/(-10) + 4). Give o*x(y) - 6*s(y).
2*y - 2
Let f(l) be the first derivative of -l**5/20 + l**3/6 + l**2/2 - 77*l + 4. Let n(o) be the first derivative of f(o). Let p(u) = -2*u - 4. What is 4*n(m) + p(m)?
-4*m**3 + 2*m
Let l(f) = -31*f - 49. Let h(s) = -76*s - 122. Give 5*h(g) - 12*l(g).
-8*g - 22
Let a(x) = 6*x - 14. Suppose 15*u - 14 = -31 - 103. Let r(c) = 4*c - 9. Calculate u*r(f) + 5*a(f).
-2*f + 2
Let y(r) = -r**3 - r. Let h(z) = 2*z**3 + 785*z**2 + 3*z. Determine h(i) + 3*y(i).
-i**3 + 785*i**2
Let c(n) = 10*n**3 - 133. Let s(k) = -8*k**3 + 134. Calculate 3*c(g) + 4*s(g).
-2*g**3 + 137
Let v(b) = -4*b**3 + 2*b**2 + 2*b. Let g = -104 + 106. Let q(s) = -103*s**g + 108*s**2 + 2*s**3 - 10*s**3 + 5*s. Calculate 2*q(z) - 5*v(z).
4*z**3
Let u(c) = -3*c - 4 + 2*c - 3*c. Suppose -v = -3*v - 2, 0 = 2*l + 4*v. Let t(r) = -8 + 14 - 1 + 3*r - l. Give 6*t(b) + 4*u(b).
2*b + 2
Let y(f) = -f + 2. Let p(b) = 4*b - 5. Suppose -937 = -6*x - 925. What is x*p(n) + 7*y(n)?
n + 4
Let a(q) be the third derivative of 0*q + 117*q**2 - 1/8*q**4 + 0 + 0*q**3. Let w(v) = -11*v + 1. Calculate 9*a(x) - 2*w(x).
-5*x - 2
Let h(x) = 2*x**3 - 5*x. Let d(z) = -299*z**3 + 30*z + 4. Give -d(u) - 6*h(u).
287*u**3 - 4
Suppose 7380*b = 7357*b - 92. Let p(d) = d**2. Let c(s) = 6*s**2 - 3*s - 4. Calculate b*p(g) + c(g).
2*g**2 - 3*g - 4
Suppose 3*c = -a + 4, -2 = a - 0. Let k be c + -5 + 1 + (-49)/7. Let o(l) = 2*l**3 - 2*l**2 + 3*l. Let f(g) = 5*g**3 - 5*g**2 + 7*g. What is k*o(h) + 4*f(h)?
2*h**3 - 2*h**2 + h
Let f(g) = 2290*g**2 - 2*g - 2280*g**2 + 2*g + 5. Let o(r) = 5*r**2 + 2. Let m be 310/75 + 4/(-30). Suppose v = -m*v - 10. Calculate v*f(h) + 5*o(h).
5*h**2
Let r(k) = 3*k**2 + 7*k - 1. Suppose 136*u - 83 + 349 = -550. Let b(f) = -7*f**2 - 15*f + 1. What is u*b(i) - 13*r(i)?
3*i**2 - i + 7
Suppose 12 = -4*j, j + 2*j + 34 = 5*l. Let a(b) = 4*b - 12. Let r(z) = 5*z - 13. Calculate l*r(s) - 6*a(s).
s + 7
Let p be (-9)/1 - ((-84)/(-6) + -20). Let l(c) = -c - 9. Let u(w) = w + 8. What is p*u(k) - 2*l(k)?
-k - 6
Let z(r) = -4*r**2 + 8*r - 5. Let a(y) = y**2 - y + 1. Let o(c) = -c**2 - 3*c - 1. Let g = 264 - 266. Let i be o(g). Determine i*z(f) + 5*a(f).
f**2 + 3*f
Let i(f) = f + 7. Let k(x) = -2*x - 22. Let p be ((-6)/12)/(1/2) + (-4)/4. What is p*k(g) - 7*i(g)?
-3*g - 5
Let r(z) = -6*z**3 + 623*z**2 + 14*z - 14. Let g(o) = -o**3 + 2*o - 2. What is -7*g(n) + r(n)?
n**3 + 623*n**2
Let g(m) = 2*m + 4. Suppose 179*j = 170*j + 27. Suppose p + 2*l = 5*l + 14, j*l + 15 = 0. Let s(a) = -1. Give p*g(v) - 2*s(v).
-2*v - 2
Suppose 18 = 4*h - 7*q, -3*h - 120*q + 30 = -117*q. Let j(a) = 4*a + 5. Let l(w) = 11*w + 15. Determine h*j(r) - 3*l(r).
-r - 5
Let x(c) = -28 + 8226*c - 12 - 8229*c. Let l(n) = 5*n + 80. Give -4*l(b) - 7*x(b).
b - 40
Let a(u | {
"pile_set_name": "DM Mathematics"
} |
the remainder when f is divided by h.
5
Let c(h) = 592*h**2 - 9*h - 8. Let w be c(-1). Suppose w - 221 = 31*m. Calculate the remainder when 45 is divided by m.
9
Suppose 6*o - 127 = 5. Suppose -o = 15*j - 187. Calculate the remainder when 19 is divided by j.
8
Let t = 186 - 183. Let x be 1 - 16/((-8)/2). Suppose t*m - m - 16 = 2*j, 2*m - x*j = 1. Calculate the remainder when 89 is divided by m.
11
Calculate the remainder when 1019/(0 + -1 - 12*25/(-200)) is divided by 66.
58
Let n = 4697 - 4575. What is the remainder when 361 is divided by n?
117
Suppose -3*l + 3*z = 6*z - 51, -5*l + 45 = -5*z. Suppose -2*s - 5*w + 51 = 0, 3*s - 1298 + 1309 = 5*w. What is the remainder when l is divided by s?
5
Suppose -3*m + 7 = -t - 1, 5*m = 4*t + 11. Suppose -10*a + 24*a = 168. Calculate the remainder when 282/(-90) + m + (-227)/(-15) is divided by a.
3
Let u = -4137 + 4939. What is the remainder when u is divided by 6?
4
Let b(p) = 208*p**3 - 6*p**2 + p - 12. Let k be b(-4). What is the remainder when (-4)/(-46) + (k/46)/(-2) is divided by 15?
11
Let f = 55 - 47. Let s be 6/f - (-1690)/40. Suppose -11*v = -10*v - s. Calculate the remainder when v is divided by 15.
13
Let b = -8506 + 9020. Calculate the remainder when b is divided by 14.
10
Suppose -1407 = -3*s + 5*k, -3*s - 4*k - 932 = -5*s. Calculate the remainder when 1502 is divided by s.
50
Let c(g) = g**3 + 2*g**2 - 2*g + 4. Let t be c(-3). Suppose -20 = -m - t. Let q = 6237 - 6230. What is the remainder when m is divided by q?
5
Let w(f) = 17*f - 12. Let s = -107 - -109. Calculate the remainder when w(11) is divided by 3 + (-41)/(-2)*(4 - s).
43
Suppose -20*z = -16*z - 4. Suppose -v + z + 2 = 0. Suppose -o - v*o = 5*j - 542, -4 = -2*j. What is the remainder when o is divided by 34?
31
Let z be (-2924)/(-34) - (-6)/(-2). Let g = z - 56. Calculate the remainder when 322 is divided by g.
25
Suppose -25*r - 32*r = 8*r - 214045. What is the remainder when r is divided by 165?
158
Suppose -l - 99 = 5*p, -l - 4*l = 2*p + 35. Let m = p + 26. Suppose m*r - 33 = 3*r. What is the remainder when 43 is divided by r?
10
Suppose -6*t = a - t - 144, -3*a = t - 418. Let n(v) = v**3 + 3*v**2 - 147*v + 208. Calculate the remainder when a is divided by n(10).
25
Suppose -3*z - 25 = -9*s + 14*s, 0 = 2*z + 5*s + 25. Suppose z - 6 = -2*g, 24 = 4*r - 4*g. What is the remainder when 114 is divided by r?
6
Let f(a) = a**2 + 19*a + 18. Let u be f(-12). Let h = u - -66. Let b = 7 + h. What is the remainder when 13 is divided by b?
6
Let f(p) be the first derivative of 2*p**3/3 + p**2 + 203*p - 39. What is the remainder when f(0) is divided by 34?
33
Suppose 1 = o, -3*m + 5*o + 58 = -21. Suppose -4*k + 29*b = m*b - 557, 266 = 2*k + 2*b. Calculate the remainder when k is divided by 38.
24
Suppose -560*k - 355*k + 282107 = -201*k + 623*k. What is the remainder when k is divided by (-3 - -2)*(-1 - 4)?
1
Suppose -2*v + 72 = v. Let i = 92 - v. Let u = 89 - i. Calculate the remainder when u is divided by 14.
7
Let z be (2/8)/(10/(-40))*39. Let i = 85 + -43. Let c = z + i. Calculate the remainder when 11 is divided by c.
2
Suppose 168 = -4*d + 28*d. What is the remainder when 294 is divided by (6 - d) + 14 + (-4)/2?
8
Suppose -283*n + 287*n = 32. Let a(g) = g**2 - 13. Let v be a(-13). Suppose 0*x = -3*x + 5*i + v, 2*i = 2*x - 100. What is the remainder when x is divided by n?
7
Suppose -o - 4807 = -3*s, 3*o - 3809 + 586 = -2*s. What is the remainder when s is divided by 1599?
5
Let g be -3 - (278/(-6) + 8/(-12)). Let d = -76 + g. Let z = d + 45. Calculate the remainder when z is divided by 4.
1
Suppose -2833 = -18*b + 2045. Let k = b + -209. Suppose -2*a = -a - 32. What is the remainder when k is divided by a?
30
Suppose 0 = -2*o - 32 + 62. Suppose 0 = 55*n - 58*n + o. Calculate the remainder when n/(-10)*-82 + 1 is divided by 11.
9
Suppose l + 522 = 4*i, 3*i - 2219*l + 2220*l = 381. What is the remainder when i is divided by (1 + -24)/(2/(-4))?
37
Let l(w) = 450*w**2 - 80*w - 142. What is the remainder when l(-2) is divided by 152?
146
Let q(t) be the third derivative of t**5/60 + 5*t**4/24 + t**3/2 + 6*t**2. Let o(c) = c**2 - 8*c - 9. What is the remainder when o(11) is divided by q(-6)?
6
Let o(t) = 122*t**2 - 42*t + 85. What is the remainder when o(3) is divided by 4?
1
Let n = -9 + 16. Let d(m) = -m**3 + 6*m**2 + 9*m - 9. Calculate the remainder when (11 - (-357)/(-34))*28 is divided by d(n).
4
Let f(z) be the third derivative of z**4/6 - z**3 - 7*z**2 - 2*z. Calculate the remainder when f(9) is divided by 8.
6
Suppose -3*t - 20 = -5*k, -3*k + 5 + 7 = -4*t. Suppose 0 = -12*f - t*f + 372. What is the remainder when f is divided by 8?
7
Let v(q) = 3*q + 35*q - 4*q - 56 + 3*q. What is the remainder when v(3) is divided by 15?
10
Suppose 0 = -4*v - 4*u - 36, -11*v = -8*v - 5*u + 35. Calculate the remainder when 114 is divided by 2*(v/(-40))/(2/116).
27
Suppose 4*q - 195 = -5*a, 10*q = -3*a + 14*q + 117. Calculate the remainder when 635 is divided by a.
11
Let g = 24 + 127. Let d(y) = 9*y - 25. What is the remainder when g is divided by d(7)?
37
Suppose 9*q + 404 = -287 + 871. Calculate the remainder when 21 is divided by q.
1
Suppose 33*j + 22*j - 70500 = -5*j. Calculate the remainder when j is divided by 31.
28
Let m(l) = 2 - 4 + 11*l + 1 + 0*l. Suppose -4*o - 22 = -7*o + 5*a, a + 2 = 0. What is the remainder when m(1) is divided by o?
2
Let x(a) = 160*a + 118. Let b be ((-45)/12)/(2/(-16)). Let t = b - 10. What is the remainder when x(0) is divided by t?
18
Suppose 5*j + 3*b - 1516 = 0, 6*j + 5*b = 2*j + 1218. Let m = j - 161. Suppose 12 = 5*x - 168. Calculate the remainder when m is divided by x.
33
Let o(j) = j**3 + 7*j**2 - 13*j - 3. Calculate the remainder when 7174 is divided by o(-8).
33
Let g(i) = 408*i**2 - 208*i + 824. What is the remainder when g(4) is divided by 233?
229
Let i = -8 + 52. Let m = i + 23. Suppose 21*n + 280 = 41*n. Calculate the remainder when m is divided by n.
11
Suppose -m + 5*s + 5 - 14 = 0, -2*s = -6. Let l(t) = 3*t - m + t + 13 - 3*t. Calculate the remainder when l(-5) is divided by 1.
0
Let n(g) = 5*g**3 - 13*g**2 + g - 3. Let w = 42 + -33. What is the remainder when n(3) is divided by w?
0
What is the remainder when 2010 is divided by 30*(2751/105 + -4)?
12
Let g(o) = o**3 + 48*o**2 + 85*o - 98. Let u be g(-46). Let p = -148 + u. What is the remainder when p is divided by 36?
4
Suppose -22*a - 9*a = -30*a - 1004. What is the remainder when a is divided by 34?
18
Calculate the remainder when 275 is divided by (225 - 236) + (-64)/(-6) - (-332)/6.
0
Let c = -11992 + 12624. What is the remainder when c is divided by 77?
16
Let u = 12 + -9. Suppose -l - 608 + 612 = 0. Suppose 0 = 4*t - u*p - 114, -l*p = -4*t + 6*t - 46. Calculate the remainder when t is divided by 14.
13
Let v = 11004 + -9584. Calculate the remainder when v is divided by 48.
28
Let t(l) = l**2 + 59*l + 926. Calculate the remainder when t(-39) is divided by 58.
30
Suppose -3*b - 391 = -370. Let a(s) = 3 - 29 - 5 - 16*s. Calculate the remainder when a(b) is divided by 28.
25
Suppose 5*k = 568 - 103. Let b = 212 - 116. Suppose -12*q + 8*q = -b. Calculate the remainder when k is divided by q.
21
Let v(y) = -49*y**2 + 9*y + 11. Let w be v(-2). Let k = w - -221. Calculate the remainder when 35 is divided by k.
17
Suppose -5*u + 3*h + 70 = 5*h, 22*h = 20*h. Calculate the remainder when 67 is divided by u.
11
Let u = -17 + 23. Let g(t) be the third derivative of -t**6/120 + 7*t**5/60 - t**4/4 + 11*t**3/6 - 3*t**2 - 8. What is the remainder when 30 is divided by g(u)?
8
Let a(p) = -p**3 + 7*p**2 - 5*p + 20. Let c be a(6). Let n = c - -28. Suppose 4*k + n = 5*k. Calculate the remainder when k is divided by 19.
16
Let k(v) = 229*v**2 - 895*v + 11. Calculate the remainder when 473 is divided by k(4).
93
Let q = 22 + -4. Let p = q + -9. Let t = -60750 - -60783. Calculate the remainder when t is divided by p.
6
Suppose 5*a + 16 + 4 = 0. Let c be (-1)/a - 23*1/(-4). Suppose 0 = 2*u - c*u + 96. Calculate the remainder when 95 is divided by u.
23
Let z(x) = x**2 - 210*x - 1283. Calculate the remainder when 1376 is divided by z(-6).
11
Let s = 4076 + -3958. What is the remainder when 226 is divided by s?
108
What is the remainder when 101/(-3)*5*132* | {
"pile_set_name": "DM Mathematics"
} |
}. Give prob of sequence qqq.
1
Two letters picked without replacement from {f: 7, b: 2, q: 7, p: 1, u: 2}. What is prob of sequence bu?
2/171
Four letters picked without replacement from uuuxkyxxyuuxykuxuh. Give prob of sequence uyuh.
7/4080
Calculate prob of sequence lll when three letters picked without replacement from lllllll.
1
Calculate prob of sequence di when two letters picked without replacement from iyxxmwd.
1/42
Three letters picked without replacement from oeoeooooo. What is prob of sequence oeo?
1/6
Calculate prob of sequence pq when two letters picked without replacement from {u: 1, c: 1, j: 1, q: 4, p: 1, k: 9}.
1/68
Three letters picked without replacement from {r: 1, j: 3, m: 3, c: 13}. Give prob of sequence jjr.
1/1140
Two letters picked without replacement from kkkkkkykkkkkkkk. Give prob of sequence ky.
1/15
Four letters picked without replacement from rqjaqmz. What is prob of sequence mqaq?
1/420
Calculate prob of sequence oh when two letters picked without replacement from owhhwrwhhhjw.
5/132
What is prob of sequence oss when three letters picked without replacement from {p: 2, s: 2, m: 2, o: 1, j: 4, u: 1}?
1/660
What is prob of sequence hpt when three letters picked without replacement from {t: 2, h: 6, s: 3, f: 1, p: 2}?
1/91
Calculate prob of sequence bbpe when four letters picked without replacement from {b: 2, p: 2, e: 1}.
1/30
Calculate prob of sequence fi when two letters picked without replacement from {c: 2, f: 2, m: 4, i: 3}.
3/55
Three letters picked without replacement from lkklkkklkulkukuu. Give prob of sequence kuk.
1/15
What is prob of sequence llo when three letters picked without replacement from {o: 4, l: 2, b: 1, g: 6, z: 3}?
1/420
Two letters picked without replacement from {m: 7, d: 2, h: 1, v: 4}. Give prob of sequence mv.
2/13
Calculate prob of sequence rakn when four letters picked without replacement from fnarank.
1/210
Three letters picked without replacement from mbbbmbbmbm. Give prob of sequence mmm.
1/30
Two letters picked without replacement from {n: 2, l: 2, o: 2, u: 4}. Give prob of sequence ou.
4/45
Calculate prob of sequence ezzz when four letters picked without replacement from eejjezeezeeeeeeezeee.
1/1292
Calculate prob of sequence yoly when four letters picked without replacement from {l: 1, z: 1, o: 1, y: 2}.
1/60
Four letters picked without replacement from {f: 2, u: 7, d: 2, i: 2, a: 4}. What is prob of sequence afai?
1/1190
Three letters picked without replacement from ggfgggggfg. What is prob of sequence ggf?
7/45
Three letters picked without replacement from {r: 2, l: 1, y: 5, c: 8, n: 2}. Give prob of sequence ccl.
7/612
Four letters picked without replacement from {y: 1, m: 2, x: 1, q: 4, g: 3}. Give prob of sequence gxqm.
1/330
Two letters picked without replacement from {b: 2, y: 2, v: 9}. Give prob of sequence bv.
3/26
Two letters picked without replacement from {g: 1, m: 1, y: 1, e: 4, f: 5, v: 5}. What is prob of sequence fe?
5/68
Calculate prob of sequence bb when two letters picked without replacement from {b: 2, m: 1}.
1/3
Calculate prob of sequence ze when two letters picked without replacement from {e: 17, z: 2}.
17/171
Two letters picked without replacement from {w: 5, z: 7}. Give prob of sequence zz.
7/22
Two letters picked without replacement from gillloglgolgl. Give prob of sequence lo.
1/13
Four letters picked without replacement from {x: 10, m: 2}. What is prob of sequence mxxm?
1/66
Calculate prob of sequence iiii when four letters picked without replacement from {i: 6}.
1
Calculate prob of sequence rz when two letters picked without replacement from {r: 5, x: 1, z: 3, y: 3}.
5/44
Four letters picked without replacement from {t: 1, i: 4, f: 1, x: 3, r: 2}. What is prob of sequence rxtx?
1/660
What is prob of sequence cn when two letters picked without replacement from {n: 5, c: 9}?
45/182
Calculate prob of sequence eo when two letters picked without replacement from {w: 3, i: 2, e: 1, o: 1}.
1/42
Calculate prob of sequence utfz when four letters picked without replacement from {u: 2, m: 1, t: 2, b: 1, z: 1, f: 2}.
1/378
Four letters picked without replacement from ikvnnvkkvvvavvviavv. What is prob of sequence nnkv?
5/7752
Four letters picked without replacement from {r: 2, z: 3, x: 6, j: 1}. What is prob of sequence rzxr?
1/330
Calculate prob of sequence wcw when three letters picked without replacement from {w: 11, y: 3, c: 1}.
11/273
Three letters picked without replacement from ezzjzvizezzzzzo. What is prob of sequence oiv?
1/2730
Three letters picked without replacement from {l: 2, o: 1, q: 2}. Give prob of sequence qoq.
1/30
Three letters picked without replacement from fxxffxxuux. What is prob of sequence uuf?
1/120
Two letters picked without replacement from rrkfrxkrkbb. Give prob of sequence rk.
6/55
Three letters picked without replacement from {c: 1, m: 6, f: 2, s: 2}. What is prob of sequence smf?
4/165
Four letters picked without replacement from dyydaiitilat. What is prob of sequence dyat?
2/1485
Three letters picked without replacement from {k: 2, d: 9}. Give prob of sequence ddd.
28/55
Calculate prob of sequence ajaj when four letters picked without replacement from aqjj.
0
Two letters picked without replacement from juwpjujpj. Give prob of sequence uj.
1/9
Two letters picked without replacement from {u: 1, n: 1, d: 5, t: 4, a: 1, h: 1}. What is prob of sequence tn?
1/39
Calculate prob of sequence vaa when three letters picked without replacement from {a: 4, v: 16}.
8/285
Four letters picked without replacement from {z: 11, l: 1}. Give prob of sequence zzzz.
2/3
Three letters picked without replacement from {h: 2, n: 14, x: 1}. Give prob of sequence nxh.
7/1020
Four letters picked without replacement from iiiiiiiiiiiniiiiiii. Give prob of sequence iiin.
1/19
Calculate prob of sequence wooh when four letters picked without replacement from {l: 2, h: 4, o: 2, w: 1}.
1/378
Calculate prob of sequence vo when two letters picked without replacement from wvlovvlwqww.
3/110
Three letters picked without replacement from {f: 12, a: 6}. Give prob of sequence ffa.
11/68
Calculate prob of sequence shf when three letters picked without replacement from {s: 2, q: 8, c: 1, e: 1, h: 3, f: 3}.
1/272
Two letters picked without replacement from pvvpvvvvv. Give prob of sequence pp.
1/36
What is prob of sequence fez when three letters picked without replacement from {x: 4, p: 1, f: 2, z: 10, e: 2}?
20/2907
Calculate prob of sequence in when two letters picked without replacement from {i: 14, o: 2, n: 1}.
7/136
Four letters picked without replacement from opoopeoepasoeaopog. Give prob of sequence esap.
1/3060
What is prob of sequence wf when two letters picked without replacement from {l: 2, d: 1, f: 1, w: 1}?
1/20
Three letters picked without replacement from {l: 6, x: 4}. What is prob of sequence xxx?
1/30
Calculate prob of sequence qbqb when four letters picked without replacement from cciqiccbccqtqbcii.
1/4760
Calculate prob of sequence uv when two letters picked without replacement from vuvvvvpvvvuvvvu.
11/70
What is prob of sequence kkqq when four letters picked without replacement from {b: 1, a: 8, k: 2, d: 5, q: 2}?
1/18360
Calculate prob of sequence osld when four letters picked without replacement from {d: 1, t: 2, o: 1, l: 1, s: 1, c: 1}.
1/840
Calculate prob of sequence tn when two letters picked without replacement from {c: 1, n: 1, t: 1}.
1/6
Three letters picked without replacement from {x: 9, m: 4, j: 3, k: 1, g: 1}. What is prob of sequence mjk?
1/408
Two letters picked without replacement from {p: 10, j: 10}. Give prob of sequence jj.
9/38
Two letters picked without replacement from jojaoajnoa. What is prob of sequence jo?
1/10
Calculate prob of sequence qq when two letters picked without replacement from qqv.
1/3
Three letters picked without replacement from zmmxxv. What is prob of sequence vzm?
1/60
Two letters picked without replacement from {p: 2, r: 3, z: 11, j: 3}. What is prob of sequence jr?
1/38
What is prob of sequence isc when three letters picked without replacement from {z: 1, c: 4, u: 1, s: 4, i: 4, o: 1}?
32/1365
Calculate prob of sequence pp when two letters picked without replacement from eppe.
1/6
Calculate prob of sequence ed | {
"pile_set_name": "DM Mathematics"
} |
= 8*w for q.
4
Suppose -3 = -r + 8. Let o = -5 + r. Suppose -2*f - 2*s + 24 = 26, 0 = -4*f - 5*s - 8. Solve -o*d + 5*d = 5*x + 16, 3*d = f*x + 24 for d.
4
Suppose 0 = -5*c - 5, 3*g = -2*g + 4*c + 84. Suppose -n - s + 9 = 0, 21*n - 23*n + 5*s + 39 = 0. Solve 0 = -3*i - 5*x - n, 3*x = 4*i - 2*x + g for i.
-4
Suppose 0 = -4*n + 35*a - 37*a + 86, -3*n + a = -82. Solve -n*d + 4 = -30*d - z, 0 = -3*z + 3 for d.
-1
Suppose -19 = -4*f + 3*f. Suppose 24 = -6*n - 72. Let u = f - n. Solve -o - o + 18 = -3*z, -5*o + u = -5*z for z.
-4
Let m = -3210 - -3219. Solve -3*i - 6 = -a, 0 = m*i - 13*i + a - 7 for i.
-1
Let d be 96/8*4/(-8) - -15. Solve t + 20 = -3*t, -3*h = -3*t - d for h.
-2
Let p = -14991 - -15005. Solve -4*x + 22 = -4*s - p, -5*s - 20 = 0 for x.
5
Suppose 0 = 7*o - 635 + 152. Let n = o + -65. Suppose 2*m = m + n. Solve -p = -m*t + 1 + 3, 4*p = -3*t + 22 for t.
2
Suppose 0 = -5*t - 15, 0 = -3*l + 15*t - 20*t - 15. Solve 3*u = 5*d - d + 4, l = 2*d + 4*u + 2 for d.
-1
Let k be (2/4)/(3*1/30). Suppose 0 = -2*g + k + 1. Solve -w + 3*w + 14 = 2*j, 0 = -g*j - 3*w + 9 for j.
5
Let i be 36/14*7*(-18)/(-27). Suppose -4*q = i, w = 9*q - 4*q + 16. Suppose 2*s - 14 = 5*z + w, -2*z = 5*s - 23. Solve 4*g - 9 = -o, s*o - 3*g + 0*g = -1 for o.
1
Let i(q) = 56*q - 37. Let u be i(1). Solve 4*v + l + l + 18 = 0, -l - u = 4*v for v.
-5
Let a = 587 + -579. Suppose -2*u + 10 = -0. Suppose a*k - u = 7*k. Solve k*o = 3*o + 5*q - 31, -2*o - 2*q + 4 = 0 for o.
-3
Let u = -7 - -11. Suppose -17*t + 18*t - 3 = 0. Suppose -5*o + 4 = -t*s - 1, 0 = o + 3*s - 19. Solve o = -u*z, 2*p + 1 = 3*z - 6 for p.
-5
Suppose 48*v - 24 = 46*v. Let f(z) = 2*z**2 - 24*z - 8. Let i be f(v). Let u be 2/(-3)*(i + 2). Solve 3*s - 5*l = u*s - 4, -5*l = -5*s + 20 for s.
4
Suppose -10*j + 13*j - 5*x - 119 = 0, 2*x = -4*j + 98. Solve -3*m + 8 - 2 = -3*g, -j = m + 4*g for m.
-4
Let n(v) = -4*v**3 + 48*v**2 - 12*v + 147. Let d be n(12). Solve 0 = -2*w - 4*c + 14, -5*w + d*c + 0*c - 30 = 0 for w.
-3
Let w(s) = -s**3 + 15*s**2 + 2*s + 31. Let h be w(15). Let t = h + -62. Let a = t - -4. Solve 2*q - 4*b + 6 = 0, 8*b = -2*q + a*b + 21 for q.
3
Let z(w) = 3*w**3 - 20*w**2 - 5*w - 17. Let h be z(7). Let m be h - 0 - (-7 + 1). Solve g - q = 0, m*q = -5*g + 7*q - 1 for g.
-1
Let v(x) = -8*x - 131. Let f be v(-17). Suppose f*l - 5*s = -5, -3*l - 1 = 5*s - 6. Solve -j - 3*z - 2 = l, -4*j + 0*z + z - 21 = 0 for j.
-5
Let m = 526 - 520. Solve -3*b + p = m, 4*b + 5 + 3 = -p for b.
-2
Suppose -11*l - 2120 = -2120. Solve 9 = 3*t + 3*z - l*z, -t + 4*z = 17 for t.
-1
Suppose 117*s - 115*s = -2*l + 30, -4*l + 60 = -4*s. Solve 0 = 2*c + 2*u + 4, -5*c + 4*u = 61 - l for c.
-6
Suppose -2*y + 0*y = -m + 97, -3*m = 4*y - 291. Let s = 75 + -168. Let g = s + m. Solve -2*v - v - g = -2*k, -11 = 3*k + 4*v for k.
-1
Let m(t) = t**3 + t**2 + 4. Let y be m(0). Suppose k + y*j + 13 = j, -4*j = 5*k + 10. Solve -2*n = z + 1, 6*n = k*n + 5*z - 23 for n.
-2
Let a(v) = -7*v - 93. Let w be a(-21). Suppose -g = 4*n - 4, 5*g + 3*n = -0*n + w. Solve -11 = q - 4*s, q - 3*s = 4*q - g for q.
1
Let f be 80/(-90)*(-45)/20. Solve 4*a + 10 = -f*l + 28, 2*a - 4*l - 4 = 0 for a.
4
Let k be (-2)/2 + 4 - (-1813)/37. Let t be (-21 - (0 - -1))*(-78)/k. Solve 4*s - x + t = 4*x, -3*s = -3*x + 21 for s.
-2
Let b(a) = a**2 + 82*a + 1324. Let h be b(-22). Solve -41 = h*s - 5*f, 0 = -3*s + 6*f - 7*f - 7 for s.
-4
Let s = -6530 + 6537. Solve 2*x - 14 = -4*b, 0 = 2*b - b + 4*x + s for b.
5
Let t(i) = -63*i**2 - 319*i - 15. Let z be t(-5). Solve -2*b + 12 = 3*v, -49*b + 44*b + 20 = z*v for v.
4
Let b = -4071 - -4074. Solve 0 = -p + f - 2*f + 2, p + 6 = b*f for p.
0
Let y(k) be the third derivative of 5*k**4/24 - 7*k**3/6 - k**2. Let j be y(2). Suppose j*g - 13 = -4. Solve -5*o + g*v - 6*v + 13 = 0, v - 16 = -4*o for o.
5
Let i be (-30)/(-1*(-9)/(-12)). Let g(h) = -h**2 + 692*h + 33180. Let s be g(-45). Solve -5*o + 2*z = -s, 3*o - 5*z + i = 6*o for o.
5
Suppose 6*k = 8 - 10 + 26. Solve -3*f + 4*y = -5*f, -k*y = -f + 12 for f.
4
Suppose u = v, -v - 4 + 0 = -3*u. Suppose 4*x - 8*x = 2*x. Suppose x*z + z = -3*t + 8, -4 = -4*t. Solve -4*b - 4*f = -5*b + 11, -z*b - u*f = 33 for b.
-5
Let x(y) be the third derivative of y**6/120 - y**5/5 - 3*y**4/8 - 8*y**3 - 175*y**2. Let d be x(13). Solve -4*s - d*i - 4 = 0, 8 = 7*i - 5*i for s.
-5
Suppose v + 48 = 2*h, h - 3*v = 44 - 15. Solve -3*m - 63 = -t - 49, 2*t - 5*m = h for t.
-1
Suppose -10*w = 20 - 70. Suppose -10 = j - 3*q, w*j + 2*q = -11 + 29. Solve -5*z = -4*n + 35, 0 = -4*z - j*n - 2 for z.
-3
Suppose -70*l + 648 = -16*l. Solve -v + 13 = -4*x, -3*v = 11*x - l*x - 6 for v.
1
Let q(y) = -y**3 + 8*y**2 - 6*y - 4. Let f be q(7). Let b = -1268 + 1282. Solve b = -4*z + f*n, z - 4 = -4*n + 2 for z.
-2
Let q = 145 + -142. Suppose -12 = -5*h - 2*w, -2*h - q*w = w - 8. Solve -4*c - 10 = -3*o + c, -h*o + 15 = -5*c for o.
-5
Suppose 741 = 235*o + 12*o. Solve -5*k - 25*x + 15 = -26*x, -x = o*k - 1 for k.
2
Suppose -2*i = -d + 8 - 9, 0 = d - 3. Solve 0*y + 3*y + 2 = -5*k, -i*k + 5*y + 24 = 0 for k.
2
Let u(k) be the first derivative of k**2/2 + 6*k + 7. Let h be u(-3). Let f be (1 + -2 + 0)*0/h. Solve f = 4*c + 3*i + 2*i + 25, 5*c = 4*i - 21 for c.
-5
Let y(u) = 338*u + 3045. Let v be y(-9). Suppose -3*g + 8*g = 20. Let h = 0 + g. Solve 0 = -4*q - 12, 0 = v*z - 0*z + h*q - 3 for z.
5
Suppose 0 = -63*m + 525 + 924. Solve 2*o + 28*y - m*y = 0, 0 = -5*o + 4*y for o.
0
Suppose s + 141 = -5*y + 173, -5*y = -5*s - 50. Solve 0 = -3*q - 3*a + 21, 4*q - y - 9 = 2*a for q.
5
Suppose -4*q + 10 = v, 27*q - 25*q = -3*v. Solve 0 = -q*m + 5*r + 20, r - 7 + 13 = m for m.
5
Let a(l) = 2*l**2 + 4*l - 235. Let b be a(-12). Solve 3*u + 15 = 3*q - 12, -5*q + b = 3*u for q.
4
Let q = -315 - -312. Let z be (-7)/((-28)/24) - (-12)/q. Solve -5*d - g + 25 = 0, 0 = -0*g - z*g for d.
5
Let w = -350487 + 350495. Let z(c) = -1 + 2*c + c**2 - 3*c + 0*c**2. Let y be z(3). Solve b - w + 29 = -y*i, 2*i - 5*b = -3 for i.
-4
Let a(y) be the third derivative of -y**4/8 - 23*y**3/2 - 83*y**2. Let s be a(-24). Solve -r + 3 = s*c - 3*r, 3*c = r for c.
-1
Suppose 0 = -2*c - 17 - 47. Let b(y) = -y**2 + 8*y + 342. Let t be b(-14). Let s = t + c. Solve -s*x = 2*u + x - 13, -u - x + 5 = 0 for u.
2
Suppose 0 = 2*j - 2*x - 18, -4*j - 4*x + 34 = 14. Solve 0 = 5*u + 5*t, 4 = -u + j*t - 9*t for u.
4
Suppose 2671*q + 37 + 82 = 2678*q. Solve 2*s = -2*v, v = -q*s + 18*s - 10 for v.
-5
Suppose 3*h + 6*b + 243 = b, -h = 3*b + 77. Let g = -84 - h. Suppose 4*k = 4*d + 20, -11 = -3*k + g*d - d. Solve 2*v - k = 4*v - 3*j, 3*v = -j + 1 for v.
0
Suppose -3*m = 13 - 22. Let o be (-8)/16 - ((-30)/4)/m. Suppose -4*q - 18 = -2*b - o*q, -3*b = 4*q + 8. Solve 3*k + 2*a = 11, 5*k + b*a = 7*a + 12 for k.
3
Suppose 54*z + 69 - 563 = 370. Solve -21*f + g - 11 = -z*f, -5*f - 3*g = 7 for f.
-2
Let z be ((-1 - -81)/(-4))/(-2). Suppose -2*n + q + z = -0*n, 5*n - 25 = -4*q. Solve -n*u = -y - 9, -2*u + y + 0*y + 6 = 0 for u.
1
Let m be (-1 - 8/(-16))/(3/(-18)). Let n = -3 + 6. Suppose -5 = -4*y + 4*k + m, n*k - 18 = -3*y. Solve 5*b = 4*x + 7, -y*b + 5*x = 1 - 3 for b.
3
Let f = -36 + 39. Suppose -5*g - 12 = f*y - 2*y, 0 = -4*g - 4*y - 16. Let k be 6 - ((-4)/(-12))/(g/(-18)). Solve 5*o + 2*s - 23 = 0, -s - 20 = -k*o + 4*s for o.
5
Let x(f) = 3*f**3 - 50*f**2 + 187*f + 1. Let c be x(11). Solve 3*y = -5*q - 1, -2*q - 5*y - c = 7 for q.
1
Let w be 0 + (2/(-5) - 20/(-50)). Suppose 5*t = -2 + 17. Suppose -t*g + 2*g + 2 = 0. Solve g*s + 8 = 4*s, w = k - 5*s + 17 for k.
3
Let n = -13292 + 13293. Solve o + 3*k = -3, -31*o + 26*o = -k - n for o.
0
Let n be 0 + (-3)/(-12) + (-189)/(-28). Suppose 0 = 5*p + l - 54, l + 2*l - 62 = -5*p. Let w = p - n. Solve u - 13 = -2*y, 0 = u + w - 6 for y.
5
Let a(m) be the second derivative of -m**5/10 + 23*m**4/6 + m**3/6 - 9*m**2 - 12*m. Let o be a(23). Solve 3*u - 18 = 3*r, o*u + 3*r - 2*r - 24 = 0 for u.
5
Let t be -12*(-5)/20 + 15. Solve -22*l + t*l + 16 = i, 0 = -3*i for l.
4
Let f(s) = 2*s + s**2 + 19 - 39 + 17 - 36 - 37. Let q be f(8). Solve -m + 4*i = -16, 7 - 1 = -q*m + 2*i for m.
-4
Suppose 0 = 2*n + 4, -46*r + 42*r = 4*n - 4. Solve -3*l + 7*s - 12*s = 11, -5*l - 7 = -r*s for l.
-2
Let l(m) = -6*m**2 - 47*m - 84. Let d be l(-3). Solve -2*o = -5*i + 21, -3*o = 5*i + o | {
"pile_set_name": "DM Mathematics"
} |
arest to 0.1? (a) 5/2 (b) 5 (c) s
a
Let j = 7 + -9. Let q = -2 - j. What is the closest to -2/31 in -0.3, q, -2?
q
Let y = 0.256 - 0.206. Let k be (2/(-24))/(4/(-12)). Which is the nearest to 2? (a) -5 (b) k (c) y
b
Let j = 30668/13 - 2360. What is the closest to 2/3 in j, -4, -2/5, -3?
-2/5
Let g = -342.41 - -344. Let m = g - -0.41. Which is the closest to m? (a) 1/5 (b) 2 (c) 5
b
Suppose 4 = -2*p + 4*p. Suppose -2 = -p*z + 10. Let t be 1/2*z/(-8). What is the closest to 2 in t, -4/3, 2/11?
2/11
Let l = -1.99 + -0.01. Let n = 4 + l. Let y be ((-3)/18)/((-68)/(-153)). Which is the closest to -0.4? (a) y (b) -0.4 (c) n
b
Let o = -37 + 22. Let f = o + 15. Which is the nearest to f? (a) 0.2 (b) 2 (c) 0.1
c
Suppose 0 = -120*i + 42 - 42. Which is the nearest to i? (a) 0.3 (b) -1 (c) -1/5 (d) 14
c
Let b(v) = -v**2 + 2*v + 5. Let t be b(4). Let f = 601/2 + -301. What is the closest to f in -3/8, t, -0.5?
-0.5
Let p(n) = n**2 - 19*n + 19. Let j be p(18). Let u = 0.04 + 1.96. Let k = -34 + 32. Which is the closest to 1? (a) j (b) u (c) k
a
Let x(n) = n**2 - 11*n + 30. Let o be x(4). Suppose -4*q = i + 6, 2*q = -3*q + o*i - 14. Let k = -2/73 + 79/219. What is the nearest to k in 0, 1, q?
0
Let p = 1.04 - 0.84. Let c = 0.12 + 12.18. Let u = -12 + c. What is the nearest to 0 in -2, u, p?
p
Let g = -0.216 + 0.116. Let z = 9 + -35/4. What is the nearest to z in 9, g, 0.1?
0.1
Let f = -7.8 + 7.5. Which is the nearest to f? (a) 1/4 (b) 3/4 (c) 3
a
Let s = -4 + 1. Suppose 5*m - 5 = 5*r, -4*r + 59 - 18 = 5*m. Suppose -x - g + m = -0*g, g = 4*x - 10. What is the closest to 1/3 in -1, x, s?
-1
Let c = 60 - 24. Let u = -35.27 + -0.73. Let g = u + c. What is the closest to g in -0.4, -5, -2?
-0.4
Let d be (-2 + (-4)/(-2))*(-13 - -14). Which is the nearest to 0? (a) -31 (b) d (c) -4
b
Let t = -981 + 4906/5. Suppose 0 = -0*f - 3*f - 6. What is the closest to 2/9 in -2/9, t, f?
t
Let j(d) = d**2 + 15*d - 31. Let k be j(-17). What is the nearest to -2/3 in -1, -0.1, k, 5?
-1
Let z = -146 + 103. What is the nearest to 0 in z, 3/2, 2?
3/2
Let g = 19.8 + -18. Let b = g + -1.6. Let k(j) = -j**3 + 5*j**2 - j. Let h be k(5). What is the closest to b in 3, h, -1/4?
-1/4
Let h = -1293 + 2585/2. Suppose 0*s = -3*s - 6. What is the nearest to 1/2 in s, 1, h?
1
Let w = -5.09 - -3.09. Let x = -2.06 + 0.06. What is the closest to x in -4, w, -0.3?
w
Let p(x) = -x**3 - 16*x**2 + 3*x + 20. Let q be p(-16). Let o = -52 - q. Let s be ((-3)/o)/(3/4). Which is the nearest to -3/2? (a) s (b) 5/3 (c) -2
c
Let j be ((-5)/(-1) - (38 + -35))/15. Which is the nearest to 0? (a) j (b) 11 (c) 2/5 (d) -2
a
Let l = -30 - -70.6. Let p = -41 + l. What is the closest to 0 in 3, p, 2/3?
p
Suppose -4*j - 39 = 3*p, -p = 3*j + 2*p + 33. Let z(g) = g + 10. Let h be z(j). Suppose -h = -4*s + 4. Which is the nearest to -3/11? (a) -1/3 (b) 5 (c) s
a
Let k(i) = i + 2. Let m be k(-3). Let v = 25/42 + -2/21. Which is the nearest to m? (a) 1.1 (b) v (c) 3
b
Let y(h) = -3*h - 9. Let w be y(-6). Let i be ((-2)/3)/((-8)/w). Let m = -3564 - -3565. Which is the nearest to m? (a) -0.04 (b) -3 (c) i
c
Let t = 0.5314 - 0.1314. Which is the nearest to -0.1? (a) t (b) -1/29 (c) 1 (d) 3
b
Let w = 175 + -1221/7. Suppose -9*n = -75 + 174. Which is the closest to n? (a) 2/3 (b) -1/3 (c) w
b
Let w = -368 - -1838/5. Which is the nearest to w? (a) -1/16 (b) 3/4 (c) -0.5 (d) 0.5
c
Let i = 3.6 - 4. Suppose -m + 489 - 485 = 0. Which is the nearest to 0.1? (a) i (b) m (c) -5/3
a
Let i = -2.09 - -1.89. Which is the nearest to -3? (a) 0.5 (b) 2/13 (c) i
c
Let l = 179.80606 - 0.04606. Let f = l + -197.7. Let j = -18 - f. Which is the closest to 1? (a) j (b) 0.4 (c) -2/5
b
Let h(k) = k**3 + 4*k**2 - 1. Let t be h(-4). Let u be (-5)/225 - 4/(-18). Which is the nearest to -1/3? (a) 0.3 (b) t (c) u
c
Let k = 29 + -28.66. Let g = 0.44 - k. Which is the nearest to -0.1? (a) -1/6 (b) g (c) 3
a
Let i = -254 - -223. Let y = -10 - -7. Which is the nearest to -1/3? (a) -5 (b) y (c) i
b
Let y = 1.97 + 0.03. Let x(w) = -5*w + 15. Let d be x(3). Which is the nearest to 0.2? (a) -2/3 (b) y (c) d
c
Let w = 0.8012 - 0.1012. Which is the nearest to 1? (a) -1 (b) 0.2 (c) w (d) 0.5
c
Let q = -937 + 958. What is the closest to 0.2 in -2/9, q, -3/4, -0.1?
-0.1
Let u = -1.183 - -6.183. Let s be (-2)/(-6) + (-8)/(-3). Which is the nearest to u? (a) 4 (b) 1 (c) s
a
Let v = -0.44 + -0.06. Let p = 0.07 + 0.33. Let k = 0.6 + p. What is the closest to -2/7 in v, 0, k?
v
Let c = 1237 + -1237.5. What is the nearest to -1/3 in c, 1/9, -22?
c
Let r = 725 + -734. Which is the closest to -2/13? (a) r (b) -1 (c) 0.1
c
Let r be (-2 + (-6)/(-4))*-12. Let v be (r/(-28))/(24/(-28)). Let n = -0.1 - -0.3. Which is the nearest to v? (a) n (b) 5 (c) -0.4
a
Let s = -0.38 + 0.91. Let k = 0.13 - s. Which is the nearest to k? (a) 5 (b) -0.2 (c) -1/2
c
Suppose -10 = -4*o + 2. Let q = -238 - -250. Let k = 11 - q. Which is the nearest to -3? (a) o (b) -3/4 (c) k
c
Let k be (16/(-12))/((-56)/(-12)). Let b be (-2)/18*3/2. What is the nearest to k in b, 4/5, -1?
b
Let g(m) = -m**3 - m**2 - m - 5. Let q be g(0). Let w be ((-6)/(-5))/3*q. What is the closest to 1 in 3, w, 5?
3
Let t = 1409 + -1408.6. Let z = -1.1 - -0.8. What is the nearest to 2 in t, -1, z?
t
Let n = 0.26 - -0.14. Let d be (-9)/3 + (-3 - -5). Let v = 7 + -3. What is the closest to d in v, 2, n?
n
Let w = -0.6 + 87.6. Let h = w + -105. Which is the closest to -2/7? (a) -2 (b) 0.1 (c) h
b
Let j = 1054.1 - 1054. Which is the closest to j? (a) -2/3 (b) -1 (c) -3/5 (d) 2.5
c
Let g = 4.4 - -0.6. Let q = g - 4.8. Let p = 1.3 - 1. What is the closest to -1 in 0.6, q, p?
q
Let v = -0.0286 + 0.0286. What is the nearest to v in 5, -4/5, -3/2?
-4/5
Let g = -0.736 + -0.264. Which is the nearest to g? (a) 1 (b) -1/3 (c) 0.02
b
Let q = 64 - 64.3. Let t be (70/15)/(-7)*-2. Which is the nearest to q? (a) 1 (b) t (c) -4
a
Let g = -801.2 - -801. What is the closest to g in -8, -0.2, 3?
-0.2
Let r = 3 - 50. Let g = r + 327/7. Let u = -43 - -257/6. Which is the nearest to -0.1? (a) -0.2 (b) u (c) g
b
Let o = -740/9 - -82. Suppose 16 = -2*a + 2*x, -2*a - 2*a - 20 = -x. Let z = 0.2 - 0.1. What is the closest to 0.1 in z, a, o?
z
Let z = -2 - 2. Let g = -22 - z. Let r = -17 - g. Which is the nearest to r? (a) -4 (b) -1 (c) -2
b
Let x = 0.61 - 15.01. Let f = x + 14. Let l = 9 - 7. What is the closest to 1 in l, -4, f?
l
Let h = -0.2 + 0. Let n = h + -0.7. Let y = 1 + n. Which is the nearest to 1? (a) y (b) 0 (c) -2
a
Let r = -1.889 - 0.111. What is the nearest to -2/13 in r, -5, -1?
-1
Let y be ((-408)/(-54) + -8)/(16/(-6)). Which is the closest to 15? (a) -3 (b) y (c) -1
b
Let h be -30 + 27 + 11 + 32/2. Which is the nearest to 4/9? (a) -4 (b) h (c) -2/5 (d) -5
c
Let i = 3 + -1.9. Let w = i - 2.1. Let f = 2.53 + -2.5. Which is the nearest to -1? (a) f (b) -0.3 (c) w
c
Let u = 19445 - 96906/5. Let o = u + -64. Which is the closest to o? (a) 0.03 (b) 3 (c) 0.4
a
Let f = -7.9 + 1.9. Let s = -274 + 273. What is the nearest to s in -0.1, f, 0.4?
-0.1
Let x be (8/25)/(58/(-145)). Which is the nearest to 1? (a) x (b) 69 (c) -0.3
c
Suppose 3*x = -3 - 0. Let k = -2.59 - -2.29. What is the closest to x in 2, -2/5, k?
-2/5
Suppose 2*m + 5*y + 14 = 0, -2*m - m + 25 = -4*y. Let c = -0.7197 - -0.9197. What is the nearest to 1 in m, -0.06, c?
c
Let b = -0.217 - 2.783. Let o be 1 - ((-22)/(-14) + 0). Let w be 1 + 1 + 3 + -5. What is the nearest to 2/7 in o, b, w?
w
Let v = -255 + 136. Let z = v - -115. Which is the closest to -1.3? (a) z (b) 0.1 (c) 3/2
b
Let o = -19.949 - 0.051. Let c = o - -15. Let g be 2/20*-4*1. What is the closest to -1 in c, -3, g?
g
Suppose -4*g = t - 1, 5*g + 133*t - 129*t = 15. Which is the closest to -3/4? (a) g (b) -3 (c) 4 (d) -29
a
Let u = 0.731 + -0.541. What is the nearest to -1 in 0, -3, u?
0
Let j = -189 + 188.5. Which is the closest to -2/3? (a) 0.27 (b) -2 (c) j
c
Let g = 0.549 - 0.249. Which is the nearest to -2/7? (a) g (b) -2/5 (c) 0.37
b
Let r = -701 + 715. Which is the nearest to 1? (a) -1 (b) -5 (c) r (d) -7
a
Let w = 7.27 + -5.27. What is the closest to -0.1 in -4, w, - | {
"pile_set_name": "DM Mathematics"
} |
j - 4. Let g be (-25)/7 + 3 + 1. Which is bigger: g or d?
g
Let s(d) = d - 13. Let p be s(-9). Which is smaller: -21 or p?
p
Suppose -4*r = -r + 21. Are r and -2 equal?
False
Suppose 2*h - 8 - 16 = 0. Let o = -25/2 + h. Is -2/5 greater than or equal to o?
True
Let z be (-2 - -1)*3/5. Suppose -4*i = 1 + 7. Which is smaller: z or i?
i
Let b = -38/63 - 4/63. Let t(f) = f**2 + 5*f - 5. Let o = -3 - 3. Let n be t(o). Which is smaller: b or n?
b
Let p = 2 - -1. Suppose -3*j = p*t - 5 - 4, -j = -5*t + 3. Let a be 3 - ((-12)/(-3) - j). Is 0.3 <= a?
True
Let c = 2 + -2.1. Let q = 4.1 + -4. Let a = q + c. Which is smaller: a or 0.1?
a
Let l be ((-240)/200)/((46/10)/(-1)). Do l and 0 have the same value?
False
Suppose -4*c + 5*c + 22 = 0. Let k = -12 - c. Is 9 at most as big as k?
True
Let q = -50.92 + 51. Is -2 less than q?
True
Let d = 20.46 + 0.54. Which is bigger: d or -0.1?
d
Let k(q) be the second derivative of 2/3*q**3 - 1/12*q**4 + q + 0 + 3*q**2. Let p be k(5). Which is smaller: 1/9 or p?
1/9
Let y = 2/45 + -124/765. Is y != 0?
True
Let p = -14817/10 + 1480. Which is smaller: -1 or p?
p
Let f = 248/7 - 36. Is -2 at least f?
False
Let h(s) = 2*s - 3. Let j be h(-4). Let i = j - -20. Is 8 <= i?
True
Suppose -3*u - 7*u = 120. Which is smaller: u or -11?
u
Let t be 2/(-3) - (-28)/6. Let l(z) = z**3 - 3*z**2 - 5*z + 3. Let p be l(t). Let x be p/4*4/6. Is 1 less than x?
False
Let z(n) = 2*n**2 - 2*n + 1. Let m = -21 - -23. Let f be z(m). Is f not equal to 5?
False
Let n = -761/7 - -109. Which is bigger: -0.3 or n?
n
Suppose 4*f = y + y - 6, 5*f = 4*y - 15. Let h be f + (-30)/8 + -1. Let v = h + 17/4. Which is greater: 0 or v?
v
Let q(v) = v**2 - 4*v - 6. Let j be q(5). Suppose 2*y + 9*c - 4*c = 20, -5*y = -5*c + 20. Suppose 5*s = -y - 10. Which is smaller: s or j?
s
Suppose -10 = 14*v - 9*v. Let d be ((-5)/4)/(4/(-32)). Suppose -4*q + 2*q = -w - d, 0 = -q + 4. Does w = v?
True
Let k be 12/18*3/140. Let i = k + -143/210. Let l = 0 + 0. Which is greater: i or l?
l
Let f = -12.3 + 12. Is f bigger than 1/3?
False
Let j be ((8 - 2) + -4)/2. Is j bigger than 11/6?
False
Let x(w) = -w**3 + 13*w**2 - 13*w + 10. Let u be x(12). Suppose 2*z = 2*d - 2, 4*d - 2*z + 6 = -3*z. Is d equal to u?
False
Let h(r) = r**3 + 6*r**2 - 6. Let w be h(-6). Which is greater: -2 or w?
-2
Suppose -3 + 1 = -2*r + o, -o = -r + 2. Suppose r*l = l. Are 0 and l non-equal?
False
Let d = 4 + -2. Suppose -w + 84 = w. Let u be (-12)/42 + 40/w. Is d equal to u?
False
Let w = 19309/1470 - 3546/245. Let u = 1/210 + w. Is -1 not equal to u?
True
Let a(d) = d**2 - 2*d + 3. Let x = 2 - -1. Let v be a(x). Is 6 != v?
False
Suppose -2*k + 11 = -3*c, -5*k + 15 = 3*c + 2*c. Let b be (4/9)/(2/c). Let a be 3 - (-2 + (2 - -2)). Is b less than a?
True
Let d(y) = y**2 - 8*y + 6. Let v be d(6). Let n be 6 + v - 3/(-10). Is n >= -1?
True
Let m = 10.1 - 10. Let v = -9 + 9.07. Is m <= v?
False
Suppose 4*n - 5*w + 11 = 0, 5*n + 3*w - 2*w - 8 = 0. Let k = -1 + n. Let p be 1*(-2)/(-2)*k. Is p bigger than -1/7?
True
Let u(b) = -3*b. Let d be u(-1). Is 4 greater than d?
True
Let k(v) = v**2 + 8*v - 2. Let q be k(-8). Let w = -9/10 - 3/5. Is w >= q?
True
Suppose 18*m - 5 = 19*m. Let i = m - -4. Is 2/21 greater than or equal to i?
True
Suppose -c - c = -4. Suppose c*w = -6 - 6. Let t be (1*-2)/((-21)/w). Are t and -2 nonequal?
True
Let k be (2/2)/(4/36). Let u(b) = -b + 12. Let n be u(k). Let o = 1/6 - 1/2. Which is greater: n or o?
n
Suppose -4*f = 2*l - 32, 6*l - 3*l + 8 = 2*f. Let k(d) = d**3 - 7*d**2 - d + 2. Let p be k(f). Which is bigger: -6 or p?
p
Let n(i) = i**3 - 7*i**2 - i + 4. Let t be n(7). Let c be -2*t/12*6. Let f = 11 + -8. Is c bigger than f?
False
Let z = 59 - 23. Suppose z = -w + 5*w. Is 10 at least as big as w?
True
Let z(i) = i**2 + 3*i - 5. Let h be z(-4). Which is bigger: -1/118 or h?
-1/118
Suppose 0 = 4*b - 4*v - 48, -3*v + 17 = 2*b - 7. Suppose -4*l + 16 = -2*f, 0*f + 2*f + 3*l = b. Let n be f + -4 + (-1 - -3). Are n and -3 nonequal?
True
Let w = 30 + -14. Is 17 greater than or equal to w?
True
Let p(o) = 2*o + 7. Let u be p(-5). Let g be 6/3*(-2 - u). Is g bigger than 1?
True
Let k = 65 - 65. Let u = 0.1 + 0. Let s = 0.3 - u. Is s less than or equal to k?
False
Let w be 2 + ((-120)/21)/2. Is w >= 2/7?
False
Suppose 18 = 3*b + 3*x, 3*x - 18 = -b - 2. Let d be -3 + 3 + 2 + b. Which is bigger: 5 or d?
5
Let r = -91 - -59. Is r greater than -33?
True
Let x(h) = -h + 13. Let o be x(9). Suppose 9 = -0*y + 3*y. Which is smaller: y or o?
y
Suppose -r = 3*r. Which is greater: r or -6?
r
Let f = -3 - -3.4. Does f = -0.2?
False
Let q = -0.02 - 0.08. Are -7 and q non-equal?
True
Suppose -75 = 4*j + 41. Let g = 21 + j. Let f = g - -14. Which is smaller: 5 or f?
5
Let o = 1 - 1. Let m = 19 + -12. Let n be 3/m + 3/21. Which is greater: n or o?
n
Let u be (-54)/(-10) + 2/(-5). Suppose -3*y = 2*y + 2*q + 417, -405 = 5*y + u*q. Let a be y/(-165) - 2/6. Which is bigger: a or 0?
a
Let h = -2 - -1. Let q(l) = l**2 - 2*l - 1. Let m be q(3). Let j = h + m. Is j >= 1?
True
Let s(h) = -h + 3. Let z be s(5). Suppose 0 = 4*g - 2*n - 8 + 26, 3*g + 2*n = -10. Is z greater than g?
True
Let n be -1 + -5 + (-606)/(-99). Are -1 and n unequal?
True
Let a = -0.2 + 0.3. Let u(q) = 9*q**2 - 1. Let k be u(-1). Let w = -11 + k. Is a less than w?
False
Let c = -38 + 37. Does c = 2.9?
False
Let n be 0 + (0 + -3)*1. Let o be (15/50)/(n/(-2)). Let c = -3 + 2. Which is bigger: c or o?
o
Let q = -0.7 + 0.4. Let k be 4/(-8)*6 + 3. Suppose 5*p - 5 + k = 0. Which is smaller: q or p?
q
Let n = 0.19 - -2.81. Do 0 and n have different values?
True
Suppose -2 = h - 11. Let w be 10*(h/6)/3. Suppose 10*d - w*d = -20. Is d < -5?
False
Let t(v) = -23*v**2 - v + 3 - 5 + 2. Let m be t(1). Let x be -2 + ((-3)/m - -2). Is x greater than or equal to -1?
True
Let h be (24/22)/1 - 1. Let x be (0 - -1)/((-176)/(-38)). Let k = x - h. Is -1 < k?
True
Let z be 14483/(-35)*(-7)/2. Let t = z + -2841/2. Let q = -28 + t. Is 1/2 less than q?
False
Let m be (2710/14)/(-1) - -2. Let y = m + 192. Which is bigger: y or -1?
y
Let l(a) = a**2 - 6*a - 27. Let u be l(9). Which is bigger: u or -2/111?
u
Let b = 7 + -11. Let u = b - -4. Are u and 7/5 equal?
False
Suppose 5*u = 2*r - 18, -2*u - 7 = -r - 0*u. Do r and 1/13 have the same value?
False
Let z = -7.05 - -7. Is 3 <= z?
False
Let f(z) = z**3 - z**2 + z - 3. Let g be f(0). Are -4 and g non-equal?
True
Suppose 0 = -2*b + 6*b + 16, n + 5 = -b. Let x be (n/(-2))/((-3)/(-18)). Let s be (-2*1 - -2)/x. Does s = 2?
False
Let z = 178 + -180. Is z equal to 28?
False
Let n = -47 + 46.95. Which is bigger: n or -6?
n
Let w = 11 - 13. Let a = -2 - 1. Let r = a - w. Is 3 != r?
True
Let a(f) = -4*f - 1. Let o be a(-4). Let n be 412/o - (-1)/3. Let z = -28 + n. Which is smaller: -1 or z?
-1
Let p be 34/5 + 2/10. Let y = -7 + p. Is 1/6 less than y?
False
Suppose 4*j - 15 = 45. Suppose -3*w = 2*w - j. Which is smaller: -1 or w?
-1
Let m be ((-3)/(-9))/((-2)/(-12)). Let f(n) = 5*n + 2. Let i be f(2). Let g be (-1)/((-1)/(i/9)). Is m equal to g?
False
Let c be 2 - (6/(-2) - -2). Suppose 6*i = c*i - 6. Which is smaller: -1 or i?
i
Suppose 5 = -i + 2*a, -6*a - 19 = 2*i - a. Let b(h) = h**2 + 8*h + 8. Let m be b(i). Let q = -1 - m. Which is bigger: -1/2 or q?
-1/2
Let q = 5 - 2. Let k = q - 3. Which is greater: 5/6 or k?
5/6
Suppose 4*o = 2 + 14. Suppose -18 = -2*f - 2*r, -24 = -4*f + 3*r - r. Suppose -2 + f = n. Which is greater: n or o?
n
Let x be (-2*2)/(1/(-2)). Let b be 2 + 1 + x + -2. Let j be 4/(-42) + (-3)/b. Which is greater: j or 0?
0
Let c be (-30)/26 + (1 - 0). Suppose 4*g = -g + 15. Suppose g*m = -m. Which is smaller: c or m?
c
Let z(i) = i. Let w be z(-2). Let y be 0/(6/(w - 1)). Which is smaller: y or -2/23?
-2/23
Suppose 3*c - v = v - 14, 0 = c + v - 2. Let k be 44/(-52) + c/(-2). Which is smaller: k or -1?
-1
Let w(s) = -s**3 + 2*s**2 + 2*s + 2. Let d = 3 + 0. Let n be w(d). Let k be 15/(-12) - n/(-4). Which is greater: k or -2?
k
Suppose 6 = 3*j + 21. Let o = 9 + -12. Let a = j - o. Is -3 > a?
False
Suppose s + 5*d + 6 = -s, 0 = 4*s + 2*d + 12. Let m be (-78)/(-36) + s + 1. Which is bigger: m or 0?
m
Suppose 2*l = -5*w + 12, 0 = w - 0*l - 4*l - 20. Suppose -w*m = -5*m - 5. Is m at most -5?
True
Let r = -0.3 - 0. | {
"pile_set_name": "DM Mathematics"
} |
?
True
Let t = -8 - 1. Let o(b) = b**2 - 4*b - 3. Let i be o(3). Is 3227/21 - i/t a multiple of 15?
False
Let l = 15699 - 8811. Is l a multiple of 14?
True
Suppose -81*x + 1053000 = 97*x - 151*x. Is 39 a factor of x?
True
Let q be -2 + 0 - 1563/(6/(-2)). Suppose 0*y = 3*o - 4*y - 366, -4*o + q = 5*y. Is 23 a factor of o?
False
Suppose 0 = -8*d - 1618 - 4902. Let k = 1714 + d. Is k a multiple of 43?
False
Suppose 3*i + 8*i = 39411 + 38799. Is i a multiple of 45?
True
Let s(r) = 12*r**2 + 56*r + 19. Does 28 divide s(-8)?
False
Let i(z) be the third derivative of z**5/30 + 5*z**4/12 - 10*z**3/3 - 58*z**2. Is i(-13) a multiple of 9?
False
Let m be (-6)/(-18)*-1 - 56/(-6). Suppose -m*b - 3*x - 2141 = -11*b, 2*b = -x + 2121. Is b a multiple of 67?
False
Let j be 14*(-44)/(-231)*(-3)/2. Is 0/j + -3 - -255 a multiple of 14?
True
Let a be (-119)/(-28) + 2/(-8)*1. Suppose -v - 11*m = -6*m - 86, -a*v = 3*m - 276. Is 22 a factor of v?
True
Let r(d) = 3*d**2. Let s be r(1). Let v(t) = t**2 - 9*t + 36. Is v(s) a multiple of 9?
True
Let m(s) = 12*s + 6. Let v be m(10). Let d be ((-11)/(-3) - 3)/((-3)/v). Let h = d - -48. Is h a multiple of 10?
True
Let o = 663 + -577. Let f(x) = 4*x**2 - x + 1. Let a be f(1). Let q = o + a. Is 15 a factor of q?
True
Suppose 4*l - 2 = -3*u - 0*l, 4*l = 4*u - 40. Suppose -68 + 338 = u*w. Is 39 a factor of w?
False
Let h = -22 - -29. Let v = 22 - h. Suppose v*z - 30 = 10*z. Is z a multiple of 3?
True
Let p(h) = 4*h - 201. Let q(i) = -2*i + 101. Let a(c) = 6*p(c) + 14*q(c). Is a(36) a multiple of 8?
True
Let a be (5/(-4))/((-3)/12). Let w be -24*a/20*-2. Let l = w + 114. Is l a multiple of 18?
True
Suppose 137 = -3*t + 41. Let r be (63/35)/(-2*(-12)/640). Does 21 divide 18*(3 + -1 + t/r)?
False
Let y = 18664 - 9680. Is y a multiple of 31?
False
Suppose -5*z = 5*q - 107070, 2*q + 84304 + 1322 = 4*z. Does 271 divide z?
True
Let z be (-3)/((-1 - -1) + 15/(-20)). Suppose -z*v = -0*v - 3*f + 152, -3*v - f = 114. Let s = 74 - v. Is s a multiple of 28?
True
Suppose 3*c = -0*c - a - 135, 2*c = -2*a - 94. Let p be -62 - 0*(-5)/(-20). Let h = c - p. Does 18 divide h?
True
Let j(c) = -5*c**3 + 2*c. Let s be j(-1). Is 53 a factor of (-72)/60*(-465)/s?
False
Let h be ((-400)/(-15))/((4 - 2)/(-6)). Let y = -38 - h. Is y a multiple of 10?
False
Suppose 0*j + 4*u = -j, u = -2*j + 21. Suppose 3*w - 3*q = j, q - 32 = -3*w - q. Suppose w*x + 239 = 1039. Does 16 divide x?
False
Suppose -1378 = -11*l + 3022. Suppose 7*h - l = 580. Is h a multiple of 10?
True
Suppose 21*l - 12*l = 0. Suppose -x - 21 = -2*u, u - 13 = 3*x + 10. Is 9 a factor of u/(-12)*(-109 + 1 + l)?
True
Let x(r) = -r**2 + 67*r - 69. Does 13 divide x(47)?
True
Suppose 4*t + 19 = 7*t + y, -5*y + 35 = 5*t. Is (-3)/(-18) + 1553/t + 3 a multiple of 13?
False
Suppose 5*g = 3*a + 10853, -3*g + 6514 = -6*a + 2*a. Is 31 a factor of g?
True
Let f = 36152 - 15876. Does 74 divide f?
True
Let h(n) = -n**2 + n + 10. Let g be h(-3). Let k be (g/10 - 1)*(-240)/72. Suppose m + 0*f - 19 = k*f, m - 5*f - 16 = 0. Is m a multiple of 4?
False
Let d(b) = b + 19. Let o be d(-10). Suppose 1122 = o*q - 1128. Let j = -172 + q. Is 13 a factor of j?
True
Suppose 0 = 155*s - 7795041 + 2830701. Is 20 a factor of s?
False
Suppose 49*f - 50*f = 4*p - 42293, -27 = -3*f. Is p a multiple of 135?
False
Let l(s) = s**3 - 20*s**2 + 20*s - 11. Let w = -63 + 82. Let c be l(w). Is 22 a factor of (-7)/(42/(-400)) + c/(-12)?
True
Let l(i) = -i**3 - 18*i**2 - 27*i - 165. Let v be l(-17). Is (v - -4 - 4)*(85 + 0) a multiple of 21?
False
Let b(g) = 479*g + 0*g**2 - 470*g + 12 + 82*g**2. Is 6 a factor of b(-2)?
False
Let g(l) = 67*l**2 - 13*l + 106. Does 30 divide g(-12)?
False
Suppose 0*x + 5*k + 9090 = 5*x, -x = -2*k - 1814. Let r = x - 1029. Does 61 divide r?
True
Let q(m) = m**3 + 11*m**2 + 8*m - 8. Let j be q(-10). Suppose 2*u = 2*b - j, -5*u + 6 = 3*b - 4. Suppose b*l + z = 83, -2*z - 1 = 3. Is 16 a factor of l?
False
Let a be (-2 + -1 - -8)*(5 + 5). Is ((-12)/(-15) + -2)/(a/(-2125)) a multiple of 2?
False
Let r(q) = 6 - 5*q + 7 + 3*q. Let s = 1120 - 1132. Is 3 a factor of r(s)?
False
Is 4 a factor of 64/72 + 2148482/342?
False
Let o = -30 + -5. Let b be (1/(-1))/(3/39). Let a = b - o. Is a a multiple of 9?
False
Let n = 268 - 263. Suppose -5*j = -i - 1496, -160 = -j + n*i + 144. Is j a multiple of 8?
False
Suppose -4*p = 3*r - 5 + 21, 4*p + 4 = 0. Let z = -109 - r. Is (84/z)/(2/(-10)) even?
True
Suppose 3*h = -4*h + 14. Suppose 3*x - 104 = -2*s - h*s, -3*x + 112 = -4*s. Suppose -k + x + 27 = 3*j, -k = -2*j - 53. Is k a multiple of 19?
True
Let i(m) = m**2 - 3*m - 12. Let q be i(6). Let r(u) = -u**2 + 6*u + 2. Let t be r(q). Suppose -h = -t*n - 27, -5*h + 9*h + 2*n = 118. Is 4 a factor of h?
False
Suppose -6 = 3*v + 6. Let o(b) = 4*b + 12. Let p be o(v). Is p/10 + 1731/15 + -3 a multiple of 16?
True
Let m(z) = z + 332. Is m(-47) a multiple of 34?
False
Let o = -33 - -40. Suppose o*y = -153 + 433. Suppose y = d + f, -4*d + 4*f + 167 = f. Is d a multiple of 41?
True
Suppose 0 = -4*x + 11 - 3. Let c = 34 - 34. Suppose x = -2*i + 2*z + 96, -4*z = c. Does 9 divide i?
False
Does 25 divide 5 + 3*9080/4?
False
Suppose -177535 = -5*o + 4*f, -o + 12*f + 35507 = 11*f. Is o a multiple of 261?
False
Suppose -156288 = -15591*r + 15580*r. Does 12 divide r?
True
Let w(m) = 4*m - 14. Suppose -25 - 31 = -14*r. Let d be w(r). Suppose -d*i - i = -2*y - 700, -4*y - 20 = 0. Is i a multiple of 46?
True
Let t(c) = -c**3 + c**2 + 1. Let u be t(1). Let g(z) = 158*z**3 - z**2 - z + 1. Is 21 a factor of g(u)?
False
Let w = -15 + 18. Suppose -w*h + 8*h = -160. Let s = h - -104. Does 24 divide s?
True
Let b be (1584/(-15))/(10/(-25)). Suppose 0 = o + 4*v - 80, -o - o - 4*v = -168. Suppose 11*f - o = b. Is 32 a factor of f?
True
Is 10 a factor of (-5 - 3913/(-21))/(26/195)?
True
Let t be 1/((-4)/(-29))*(47 - 39). Let u = -54 + t. Suppose 2*k - u*k = 5*q - 267, 2*k - 214 = -4*q. Is q a multiple of 47?
False
Suppose 441073 = 24*r + 31*r - 183507. Is 18 a factor of r?
False
Suppose 2*m + 500 = 798. Suppose n + m = 221. Does 24 divide n?
True
Suppose d - 266 = 1405. Let h = d - 1082. Is h a multiple of 13?
False
Suppose 3*s - 82 = -2*h - 2*h, 0 = 5*s + 3*h - 122. Suppose 6498 = -3*z + s*z. Is 19 a factor of z?
True
Let w = 189 - 369. Let z = 342 + w. Suppose -228 - z = -6*x. Does 10 divide x?
False
Let x(y) = -133*y + 4715. Is 183 a factor of x(-76)?
True
Suppose 0*i = -4*i + 3*n, 5*i - 3*n - 3 = 0. Suppose -5*r = i*x - 8*x + 855, 5*x + 3*r = 823. Let u = x - 86. Does 13 divide u?
False
Is 14 a factor of 3 + -8 + ((-122326)/(-8) - 287/164)?
False
Suppose -4362290 + 11668148 = 161*m. Is 325 a factor of m?
False
Does 20 divide 4143 + (-4 - -2*(-4 + (-18)/(-4)))?
True
Suppose -5*d = -4*f + 39 + 13, 12 = -3*d. Suppose 2*b = 2*y - f, 0 = -5*b - 26 + 1. Does 21 divide (-1*(6 - y))/(12/(-252))?
True
Let q(z) = -z**3 - 26*z**2 - 49*z - 18. Let m be q(-24). Let r = 399 - -11. Is (-6)/(-9) + r/m + 1 a multiple of 43?
False
Suppose 12*v - 51325 = 5*v + 14804. Is 67 a factor of v?
True
Suppose -5*h - 3*z + 7 = 4, 0 = -3*h - 2*z + 2. Suppose h = 4*l - o - 3036, l + 4*o = 385 + 374. Is 33 a factor of l?
True
Let y(u) = -19*u**2 + 43*u + 87. Let f(q) = 14*q**2 - 43*q - 86. Let a(m) = 4*f(m) + 3*y(m). Does 9 divide a(-24)?
False
Let v be 20 + -17 + (0 - 0). Suppose -v*m = 3*d + 207, -3*m - 2*d = -0*d + 202. Let g = 94 + m. Does 17 divide g?
False
Suppose 33981 = 3*z - 4*a + 5000, -3*z = 2*a - 28993. Does 25 divide z?
False
Is 7 a factor of (8/(-6))/(1 - 32781/32760)?
False
Is 20 a factor of (-1083584)/(-60) + (-212)/(-795)?
True
Let z(t) = 436*t + 3026. Does 305 divide z(19)?
False
Let h = -161 - -165. Is 10 a factor of h*233/2 - (1 - 5)?
True
Suppose i + i = 0. Let r be (-4)/14 + (-1680)/(-735). Suppose -4*o - 5*u + 661 = i, -r*o - u = 2*u - 329. Is 32 a factor of o?
False
Let p(k) = -k**3 + 13*k**2. Let d be p(13). Suppose u = -d*u + 12. Is u even?
True
Suppose 2*t - 5*i - 4895 = 0, 18*t - 17*t + i = 2451. Is 14 a factor of t?
True
Let k = -24542 + 25368. Is 59 a factor of k?
True
Let k(i) = 159*i - 67. Let v be k(12). Is ((-6)/(42/v))/(-1) a multiple of 13?
False
Let p = 10551 + -5526. Is p a multiple of 75?
True
Let u = -28306 - -30650. Is 15 a factor of u?
False
S | {
"pile_set_name": "DM Mathematics"
} |
). Round t to the nearest one hundred thousand.
-3300000
Let m = -518.081 + 5.981. Let t = m + 512.90004. Let s = 0.8 - t. Round s to four decimal places.
0
Let h = -644.6 - -641.8019. Let c = h + 2.8. Round c to 3 dps.
0.002
Let f(t) = 109999*t - 9. Let z be f(-9). What is z rounded to the nearest one hundred thousand?
-1000000
Let i(s) = 3*s**3 + 7*s**2 + s - 3. Let l be i(9). Round l to the nearest 100.
2800
Let c = -3.3355 - -3.3. Let j = c + 0.03311. What is j rounded to 4 decimal places?
-0.0024
Let w = -54 - -17.3. What is w rounded to the nearest integer?
-37
Suppose 0 = -3*h - 1271 + 5450. Suppose 3*q + 4153 - h = 0. Let v be ((q - 0)/(-2))/(-1). Round v to the nearest 100.
-500
Let a(t) = -t + 5. Let i be a(4). Let z be -638 - (0 + i)*2. Round z to the nearest 100.
-600
Let g be (-5543 + 1 - -1) + (15 - 14). What is g rounded to the nearest 1000?
-6000
Suppose -6 = h - 3*h. Suppose 2*n + h*w - 15312761 - 3687233 = 0, -2*n - 4*w = -18999992. What is n rounded to the nearest 1000000?
10000000
Suppose 0*q - 2*q - 2*f + 16 = 0, 3*q = 5*f + 8. Suppose r - 9000000 = q*r. Round r to the nearest 100000.
-1800000
Let u = 44 - 28. Let r = u + -15.46. Let k = -0.540087 + r. Round k to five dps.
-0.00009
Let q = 17942.5099966 + -17942.01. Let l = q + -0.5. What is l rounded to six decimal places?
-0.000003
Let s = -0.037095 + -0.053966. Let j = -0.091 - s. What is j rounded to five decimal places?
0.00006
Suppose 5*n = -l, -3*n = -4*l - l. Suppose -3*q = 2*s - 6*s - 34, -3*q - 3*s + 27 = n. Suppose -v + 1 + 1 = -5*d, 4*d = 5*v - q. Round v to the nearest 10.
0
Let c(v) = 6*v**2. Let j be c(-1). Let a(w) = 4*w**3 - 4*w**2 + 2*w. Let k be a(j). Let b = k + -1532. Round b to the nearest 1000.
-1000
Let j = -22 - -12. Let l = 11.7 + j. Round l to zero dps.
2
Let j = -54 + 33. Let f = j + 20.905. Let k = -0.1 - f. Round k to 2 dps.
-0.01
Let g = -504.99999451 - -505. Round g to six dps.
0.000005
Let b = -0.01001 + 0.01. Round b to five dps.
-0.00001
Let v = 148.742 - -0.258. Let i = -149.00000089 + v. Round i to seven dps.
-0.0000009
Suppose -4*w + 30 - 90 = 0. Let g = 56 + w. Round g to the nearest ten.
40
Let w = -15406697079.40074 - -15406954599. Let q = w + -257524. Let t = q - -4.4. What is t rounded to 4 dps?
-0.0007
Let p = 9026.67 + -8959. Let u = -68 + p. Let l = u + 0.3299914. Round l to 6 decimal places.
-0.000009
Let d be 1*-3 - (3 - 3102836). Let t(m) = 5102830*m. Let z be t(1). Let g = d - z. What is g rounded to the nearest 1000000?
-2000000
Let w = 13 - 12.99999896. Round w to seven decimal places.
0.000001
Let z = -54.6 + 10.6. Let r = z + 70. Let f = r - 26.0065. What is f rounded to 3 dps?
-0.007
Suppose -5*p + 3*k - 62499994 = 0, 3*k + 0*k = -4*p - 50000006. Round p to the nearest one million.
-13000000
Let c = -3.6 + 3. Let d = 0 - c. Let p = 0.60000012 - d. What is p rounded to seven decimal places?
0.0000001
Let t = 491938595619 - 491938970282.0999998. Let n = -374663 - t. Let r = n + -0.1. Round r to six dps.
0
Suppose 510 = -14*o + 19*o. Round o to the nearest ten.
100
Suppose -9*m = -4*m + 29000. What is m rounded to the nearest one thousand?
-6000
Let k = 29.206 - 0.006. Let y = 37 - k. What is y rounded to the nearest integer?
8
Let k = 9.599999587 + -9.6. Round k to 7 decimal places.
-0.0000004
Let w = -10 - -31. Let p be (-40)/((w/(-18))/7). Suppose o = -3*o - p. What is o rounded to the nearest 10?
-60
Let n = -95.3 - -91. Let m = -4.68 - n. Let f = m + -0.17. What is f rounded to one decimal place?
-0.6
Let n = 0.103 - 0.267. Round n to 2 decimal places.
-0.16
Let a(g) = 12419*g**3 - 2*g**2 + 4*g + 1. Let d be a(3). Let j = 235308 - d. What is j rounded to the nearest one million?
0
Let w = -238.55 - -2048.65. Let d = -1810.18839 + w. Let f = -0.088 - d. What is f rounded to 4 dps?
0.0004
Let h = -4.2295 - -4.14. What is h rounded to 3 dps?
-0.09
Let k(m) = 95615*m - 6. Let a be k(6). Suppose -l - a = -5*l. Suppose -l - 153579 = 3*v. What is v rounded to the nearest 10000?
-100000
Let r = 24.7 - 16.57. Let z = 0.13 - r. Let j = z - -7.97. Round j to 1 dp.
0
Let d = 85 + -84.9999926. What is d rounded to 6 decimal places?
0.000007
Let s = 0.64942 - 0.65. What is s rounded to four decimal places?
-0.0006
Let b = -1 + 0.4. Let z = b + 0.63. Let r = z + 0.032. Round r to two dps.
0.06
Let b = 5.33 + -0.63. Let j = 4.6958 - b. What is j rounded to three decimal places?
-0.004
Let p = 0.05 - 0.0499948. Round p to 6 decimal places.
0.000005
Let c = -45.00002 - -45. What is c rounded to 6 dps?
-0.00002
Let c = -2 - -2. Suppose -2*i = -8 - c. Suppose -3*q = i*d + 4480, -4*q + 0*d - 5985 = 3*d. What is q rounded to the nearest one thousand?
-2000
Let v = -25 - -33. Let a = 6410873.04999939 - 6410865.05. Let u = a - v. What is u rounded to seven decimal places?
-0.0000006
Let f be (8/6)/((-6)/(-9)). Suppose -f*g - 138 = -1338. Round g to the nearest one thousand.
1000
Let w(d) = -47*d**3 + d**2 + d. Let u be w(-1). Let n = 13 + u. Round n to the nearest 10.
60
Let s = -52.9976 + 53. Round s to four dps.
0.0024
Let b be (0 - 1)/(-1)*-12179. Let o = b + 6979. Round o to the nearest one thousand.
-5000
Let d = -45 - -130. Let q = -53 + d. Let v = q - 31.99958. What is v rounded to four decimal places?
0.0004
Let k = -3.0976 - -3.1. Round k to four decimal places.
0.0024
Let a = 912132.8 + -912175.800101. Let x = 43 + a. Round x to five dps.
-0.0001
Let h(m) = -22831*m - 14. Let d be h(6). What is d rounded to the nearest ten thousand?
-140000
Let z = -0.03 - 0.07. Let q = z + 3.1. Let j = -3.000064 + q. What is j rounded to 5 decimal places?
-0.00006
Let j be ((-360)/(-27))/(1/5250). Round j to the nearest ten thousand.
70000
Let f = -1515 + 1016. Suppose 0 = -2*u + 5*u - 6237. Let c = f + u. Round c to the nearest 100.
1600
Let o(l) = -7112*l**2 - 2*l + 2. Let g be o(-3). What is g rounded to the nearest ten thousand?
-60000
Suppose 0 = 6*f - 3*f + 975. Round f to the nearest 10.
-330
Let l = -2986826525 + 2986826496.90000129. Let v = 28.1 + l. Round v to 7 decimal places.
0.0000013
Let y = -10494378 + 4933799. Let h = y + 1560579. What is h rounded to the nearest 1000000?
-4000000
Let f = -17.2 - -9.6. What is f rounded to the nearest integer?
-8
Suppose 7*k - 3*k = 168. Round k to 0 decimal places.
42
Let k = 0.3 + -0.2. Let o = 0.09991 - k. What is o rounded to four dps?
-0.0001
Suppose 0 = -7*b + 3*b + 8. Let q = b - 0. Suppose 5*d + 360000 = q*d. Round d to the nearest 100000.
-100000
Let p = 9 - 9.8. Let r = 1.1 + p. Let a = 0.3084 - r. What is a rounded to 3 dps?
0.008
Suppose x - 176 = 14424. Suppose v = -v + x. What is v rounded to the nearest 1000?
7000
Let i = 404 - 403.999639. Round i to 5 dps.
0.00036
Suppose -3*m = 5*f + 15 + 10, f + 5 = -2*m. Let w(l) = 75*l + 5. Let g be w(f). What is g rounded to the nearest one hundred?
-400
Let n = 196 + -195.85014. Let x = -0.01 - -0.16. Let m = n - x. What is m rounded to 4 dps?
-0.0001
Let h = 41 - 41.0164. What is h rounded to 3 dps?
-0.016
Suppose 0 = -3*q + 4*s - 3*s - 40, 0 = -3*q + 5*s - 32. Let o be 6/q - (-3728)/(-7). Let a = 193 + o. Round a to the nearest 100.
-300
Let y(j) = 2*j**3 + 3*j**2 - 2. Let x be y(-2). Let i = x + 6. Suppose 3*a - 101578 - 36422 = i. What is a rounded to the nearest 10000?
50000
Let g(h) = 14*h**3 - 3*h**2. Let f be g(2). Let i be (f/(-12))/(2/2400). What is i rounded to the nearest 100000?
0
Let o = 111 - 134.8. Let i = o + 4.8. Let h = i - -18.99999915. What is h rounded to seven dps?
-0.0000009
Let o be (-2)/5 + ((-6300138)/30 - -5). Round o to the nearest 100000.
-200000
Let b = 138.0000166 + -138. Round b to 6 dps.
0.000017
Suppose -398523 + 2518523 = 4*w. What is w rounded to the nearest one hundred thousand?
500000
Let j = -813 + 780.1. Let w = 24 + j. Round w to the nearest integer.
-9
Suppose -2*z - 3*z - 10 = 0, 2*z = r - 10. Let y(x) = x - 6. Let q be y(r). Let s be 0 + q - -100000*21. Round s to the nearest one million.
2000000
Let u = -227492 - -323492. Suppose -3*d = -2*a - u, -d + 80087 = -2*a - 15913. Round a to the nearest ten thousand.
-50000
Suppose -2 = -u + 1. Suppose -u*k - 3 = 255. What is k rounded to the nearest 10?
-90
Let r = 6.3 + -7. Let d = r + 0.92. Let y = -0.229 + d. What is y rounded to 3 dps?
-0.009
Le | {
"pile_set_name": "DM Mathematics"
} |
. Round m to 5 decimal places.
0.00006
Let q = -29865.493 - -29879. Let f = -13.23 + -0.37. Let o = f + q. Round o to 2 decimal places.
-0.09
Let x be (-5)/(-1)*11798/85. Let a = x + 176. What is a rounded to the nearest 100?
900
Let t = -1 + 7. Let q(c) = -1399*c - 6. Let u be q(t). What is u rounded to the nearest 1000?
-8000
Let m = 0.129 - 0.0725. What is m rounded to three dps?
0.057
Let p = 3670 + -3667.683. Let h = -0.27 + 0.287. Let b = p - h. What is b rounded to the nearest integer?
2
Let k = 387.7341 + 71.0229. Let i = k + -459. Round i to two dps.
-0.24
Let i = -108.881 + -0.119. Let n = -109.000253 - i. What is n rounded to 4 decimal places?
-0.0003
Let m = 869 - 870.805. Let u = m + 1.9. What is u rounded to 2 decimal places?
0.1
Let f be (-3)/(-2 - 1726/(-860)). Let z = -130 - f. Round z to the nearest 10000.
0
Let s(n) = n**3 + 8*n**2 + 12*n + 5. Let q be s(-6). Let k(p) = -19985*p - 8501*p - 25514*p. Let u be k(q). Round u to the nearest 100000.
-300000
Suppose 0 = i - 2*c + 21, -c - 109 = 3*i - 25. What is i rounded to the nearest ten?
-30
Let p = 1.424 - 1.43. What is p rounded to 2 decimal places?
-0.01
Let k = -2387 - -2387.0000006516. Round k to 7 dps.
0.0000007
Let t = 1.5 - -13.3. Let b = -18142.835834 - -18157.636. Let v = t - b. Round v to five dps.
-0.00017
Let u(j) be the third derivative of 350*j**5/3 + j**4/12 + 10*j**3/3 - 30*j**2. Let c be u(-10). Round c to the nearest one hundred thousand.
700000
Suppose -3*z + 869 = 5981. Let g be z*25*(-40)/6*-25. Round g to the nearest one million.
-7000000
Suppose -2*a + 561255 = 153783. Suppose -p - 106988 = -4*h, h = -4*p - a - 224267. Round p to the nearest ten thousand.
-110000
Let n = -68 - -67.99548. Round n to 4 decimal places.
-0.0045
Let a(l) = 1191*l**2 - 6*l - 13. Let h be a(-6). Let r = h - 62999. Round r to the nearest 1000.
-20000
Let a = 2019208889 + -2019208676.4147267. Let q = 212.566 - a. Let y = q - -0.0193. What is y rounded to 6 decimal places?
0.000027
Let a = -13.56 + 42.91. Let o = a + -3.65. Round o to the nearest integer.
26
Let h = -0.37318 - -2.27315. Let i = h - 1.9. What is i rounded to four dps?
0
Let l = -43 - -22. Let v be 2 + 7/(l/30300006). What is v rounded to the nearest 1000000?
-10000000
Let o = -7 + 554. Let q = o + -548.745. Let m = -1.7 - q. Round m to two dps.
0.05
Let t(i) = 17*i**2 + 5*i. Let m be t(7). Suppose 0 = -f + 5*f - m. Suppose -323 = 3*n + f. What is n rounded to the nearest 100?
-200
Let q = 54.50402 + -54.5. What is q rounded to 4 dps?
0.004
Let x = -183 - -182.9999939. What is x rounded to 6 decimal places?
-0.000006
Let a = -15.5801276 - -15.58. What is a rounded to 6 dps?
-0.000128
Let v = 51778062 - -6121938. Round v to the nearest one million.
58000000
Let v = -0.65 - -14.65. Let y = 7.648 - 21.66. Let j = v + y. What is j rounded to two decimal places?
-0.01
Let u = 0.498 - -7.667. Let f = -8 + u. Round f to 2 decimal places.
0.17
Let p = 1.4 - 10.2. Let q = -51 - -60. Let k = p + q. Round k to zero dps.
0
Suppose 0 = -2*o - 5*t + 8132, -o + 4*t + 4092 = -0*o. Suppose -2*y - o + 276 = 0. Let m be ((-16)/(-10))/(8/y). Round m to the nearest one hundred.
-400
Let t be (4 - 8)/(-4)*1. Suppose -t - 3 = 4*f - 2*g, 3*f - 3*g = 0. What is f rounded to the nearest 10?
0
Let h = -1838.9 - -1976. Round h to the nearest 10.
140
Let x = 79 - 78.989. Let b = x - -0.032. What is b rounded to two decimal places?
0.04
Let c = 84.324059 - 84.32. What is c rounded to 4 dps?
0.0041
Let w = 17213 + -17212.983554. What is w rounded to three decimal places?
0.016
Let u = 10133193 + -5253193. What is u rounded to the nearest 100000?
4900000
Let x = 7.0000000429 + -7. Round x to seven dps.
0
Let s(o) = -93*o - 23. Let z be s(4). Let h = z - -131. Round h to the nearest ten.
-260
Let k = 0.72 + -0.73. Let u = k - -0.009706. What is u rounded to five decimal places?
-0.00029
Let c(v) be the first derivative of v**2/2 - 3*v + 2. Let t be c(5). Suppose t*d + 311 = 105. What is d rounded to the nearest 10?
-100
Let n = -0.4 + 0.4. Let r = 4 + -3.999983. Let i = r - n. What is i rounded to 6 decimal places?
0.000017
Let q = 242407311 + -242407216.9999892. Let s = 94 - q. Round s to 6 dps.
-0.000011
Let s = -391.2 + 439. Let h = -74.1 + s. Round h to zero dps.
-26
Let d = -6.57 + -1.13. Let v = 2.61 - 1.81. Let k = d + v. What is k rounded to the nearest integer?
-7
Suppose 0 = 2*q - 4, 2*b - 1804879 = -4*q + 555129. What is b rounded to the nearest 100000?
1200000
Let x = -65553906 - -26553906. Round x to the nearest 1000000.
-39000000
Let a = -774.88988123 - -724.8898798. Let s = a - -50. What is s rounded to seven dps?
-0.0000014
Suppose 0 = -7*w + 2*w + 10. Let p be (-43750)/w*(-16)/(-2). Round p to the nearest ten thousand.
-180000
Let y(k) = k**3 + 10*k**2 - 2*k - 91. Let s be y(-9). Round s to the nearest integer.
8
Let p = -0.42 + 191.42. Let i = 191.0000277 - p. What is i rounded to 5 decimal places?
0.00003
Let x = -1949 - -1970.89. Let a = 22 - x. Let g = 0.119 - a. Round g to three dps.
0.009
Let i = -4036.9 + 4036.799842. Let w = 0.1 + i. Round w to five dps.
-0.00016
Let q = -31 + -6. Let o = q - -27.6. What is o rounded to 0 decimal places?
-9
Let p = 80.9993 - 81. Round p to 4 decimal places.
-0.0007
Let c = -27.09 + 27.089998163. Round c to seven dps.
-0.0000018
Let t = 0.067 - 0.0179. Round t to 3 dps.
0.049
Let o = 0.24 + -34.24. Let g = o - -33.9999947. What is g rounded to 6 decimal places?
-0.000005
Let d be 7/(-42) - -118142*(-2)/(-24). What is d rounded to the nearest 1000?
10000
Let u = 227.74588 - 249.745882. Let d = u + 22. What is d rounded to five dps?
0
Let d = -157 - -155.813. Round d to one dp.
-1.2
Let c = -64 - -63.993. Let u = -0.00700023 - c. Round u to seven decimal places.
-0.0000002
Let d(g) = g**3 + 10*g**2 - 17*g - 16. Suppose -4*b + 8*j = 4*j + 60, 0 = -3*j + 6. Let m be d(b). What is m rounded to the nearest ten?
-300
Let p = -0.09 - 15.91. Let a = 1305734.00054 + -1305750. Let l = p - a. Round l to 4 dps.
-0.0005
Let x = 0.385 - 59.585. Let r = 16.8 - x. Let l = r + -76.0000033. What is l rounded to six decimal places?
-0.000003
Let f = 212 - 212.1132. Round f to three dps.
-0.113
Let i = -2889806 + 985806. What is i rounded to the nearest one hundred thousand?
-1900000
Let q = 2.03 - 2.02998987. What is q rounded to 6 decimal places?
0.00001
Let b = 5232 + -5231.9994511. Round b to 5 dps.
0.00055
Let m = 23.958 + -24. Let z = m + 0.042048. What is z rounded to five decimal places?
0.00005
Let n = -336074 - -336092.9981. Let c = -19 + n. What is c rounded to 3 dps?
-0.002
Let o = -0.09132396433 - -783747.09442396433. Let r = 783788 - o. Let f = 41 - r. Round f to three dps.
0.003
Let y = 2108.32 + -1920. Let q = 0.0545 + 184.9455. Let l = y - q. Round l to one dp.
3.3
Let i = 91 + -91.03. Let f = 2.17 - i. Round f to 1 dp.
2.2
Let s = -13.34 + 424.64. Let z = 434 - s. What is z rounded to 0 decimal places?
23
Let i = 316 + -315.9971. What is i rounded to four decimal places?
0.0029
Let x = -917285 - -917284.9110314. Let z = x - -0.089. What is z rounded to six decimal places?
0.000031
Suppose 95 = 2*z - 3*b - 378, 269 = z + 5*b. Suppose -3*i = 2*g + 142, 11*i = 16*i - 4*g + z. Round i to 0 dps.
-48
Let w(m) = 3*m + 2. Let c be w(1). Suppose s = c*y + 6790, 0 = 2*s + 2*s + 4*y - 27208. What is s rounded to the nearest one thousand?
7000
Let j = -11521 + 11520.985494. What is j rounded to 4 dps?
-0.0145
Let n = 1141.99998934 + -1142. What is n rounded to 6 dps?
-0.000011
Let i = -0.0421571 + 0.04278. Round i to 4 decimal places.
0.0006
Suppose -5*z = 2*h + 9966, -2*z - z + 24977 = -5*h. Round h to the nearest one thousand.
-5000
Suppose 1149 = 3*u - 3219. Suppose -v = 7*v - u. Round v to the nearest 10.
180
Suppose -h = -4, 4*w + h = -3*h + 44. Let a(c) = -c + 181. Let t be a(0). Suppose w*z = 1177 + t. What is z rounded to the nearest ten?
190
Let r = 179.34282003 - 17.34282074. Let n = r - 162. Round n to 7 decimal places.
-0.0000007
Let i = -155.652 - -156. Let o = i - 0.641. What is o rounded to 2 dps?
-0.29
Suppose -184000 = 6*w - 14*w. What is w rounded to the nearest 100000?
0
Let f = -61.55 - -61. Let u = 0.550123 + f. Round u to four decimal places.
0.0001
Let v = -123.447 + 126.9. Let | {
"pile_set_name": "DM Mathematics"
} |
4. Which is the closest to -8/3? (a) 0 (b) k (c) -4/3
c
Let r = 970 + -970. Which is the nearest to 2/9? (a) 2/19 (b) -4 (c) 0.2 (d) r
c
Let f = 0.4 - 0.1. Let x = -650 + 650. Let u be ((-9)/30)/(30/40). Which is the closest to u? (a) f (b) -3 (c) x
c
Let z = 155.2 - 185. Let b = -30 - z. What is the nearest to b in -5, -1, 1?
-1
Let k = 3817 - 3815. Let x be (-5)/(-3 + (-4)/(-2)). Which is the nearest to -1? (a) x (b) k (c) 0.1
c
Let j = 28957079/94269 + -358/4489. Let l(k) = 155*k + 3. Let m be l(-2). Let g = j + m. Which is the nearest to -0.1? (a) g (b) 5 (c) 2
a
Let d = 5.6 + -8.6. Let z be 2/(-3) + 814/6. Let f = 673/5 - z. What is the closest to -1 in f, 0.5, d?
f
Let l(o) = -6*o + 18. Let d be l(3). Suppose 0 + 6 = -3*x. Which is the closest to d? (a) -1 (b) x (c) -3
a
Suppose -21*s + 75 = 33. What is the closest to -0.2 in 5/4, -1/3, s?
-1/3
Let d = -137.7 - -138.7. Which is the closest to d? (a) 4 (b) -9.2 (c) 0.3
c
Let o = -22.021 + 0.021. Let y = 3.1 + -24.7. Let m = y - o. Which is the closest to 1/2? (a) m (b) -0.4 (c) -2/7
a
Let f = 4.07 - 4.08. What is the nearest to 2/5 in -6, -0.2, f?
f
Let d = 3361.5 + -3362. Let l = 2 + -1. What is the closest to l in -0.1, 4, d?
-0.1
Let y = 18.3 - 3.3. Let d = y + -15. Which is the nearest to 2? (a) d (b) 5 (c) 3
c
Let r = -1.97 - -2.17. Let z be 1/(3 - 4/(-8)). What is the nearest to z in 3/5, -3, r?
r
Let y = 2 - 1. Let m = -707 - -705. What is the closest to y in -4, m, 2/3?
2/3
Let j(v) be the second derivative of v**3/3 + 11*v**2/2 - 7*v. Let i be j(-5). Which is the closest to i? (a) 0.1 (b) 1 (c) -7
b
Let s = -1.84 + -0.06. Let i = 2 + s. Let v = -45 - -44.5. Which is the closest to i? (a) 5 (b) 7 (c) v
c
Suppose -2*t + t + 2*z = 110, 0 = 3*t + z + 323. Let i = -88 - t. Which is the nearest to -1? (a) i (b) -4 (c) -0.3
c
Let t(j) = j**2 - 15*j + 55. Let u be t(7). Which is the closest to u? (a) 21/2 (b) 4 (c) 0
c
Let q = -60 - -60.3. What is the closest to -1 in -4, 3, q?
q
Let m = -60 + 62. Let r = -1.9 + 2. What is the nearest to 2 in 1, m, r?
m
Let t = 5.81 - 2.81. Let d be 2*(-2 - (-16)/6). Let w be (-9)/15 + (-3)/(-15). What is the nearest to -0.05 in t, d, w?
w
Let s = -100 - -101. What is the nearest to -2 in 3, s, -2/5?
-2/5
Let y = 0.6 + -0.5. Let g = -1.1 + y. Let j = 0.13 - -0.87. What is the closest to j in -0.3, g, -2?
-0.3
Let i = 3 + -2.5. Let j = -12.2 + 8. Let y = -0.2 - j. Which is the nearest to 1/3? (a) y (b) 0 (c) i
c
Let w be -14 - (-11 - 21/12). Let q = 8 - 5. Let m(x) = -x - 1. Let i be m(0). What is the closest to i in q, -0.1, w?
w
Suppose t + 3*t + 253 = 5*j, 0 = 2*j - 10. Let q = t + 59. What is the closest to q in -2, -0.2, 4?
4
Let f = 1.69 - 1.59. Let z = -0.08 + -2.92. Which is the closest to f? (a) -0.4 (b) -2 (c) z
a
Let s = 235 + -233. Let d = -17/11 + 101/44. Which is the closest to -1/3? (a) d (b) 5 (c) s
a
Let n = 27 + -13. Let r be (-189)/14 - (-2)/4. Let w = r + n. What is the nearest to 1 in -0.5, 0.5, w?
w
Let f = -1/4 - -1/8. Let w = -4.1 + 4. Let a be (-2)/7 - 33/(-42). What is the closest to a in w, 3, f?
w
Suppose 0 = -h + 2*h + 3*l + 8, 2*h = -3*l - 16. Let v be (-22)/(-3)*24/h. Let w = 18 + v. Which is the closest to 0.2? (a) 2 (b) w (c) 5
a
Let q = 11 + -7. Let v = 18 - 19.4. Let m = -1.7 - v. What is the nearest to -2/5 in m, 0.3, q?
m
Let v = -50.9 + 53. Let i = -2 + v. Which is the closest to 3/2? (a) -3/2 (b) 2/7 (c) i
b
Let u be (0/(-1))/((-135)/9 + 16). Which is the nearest to -2/3? (a) 3 (b) -4 (c) u (d) 5
c
Let x = -22.3 + 17.3. Which is the nearest to 0.1? (a) -4 (b) 1/3 (c) x
b
Let l = 0.73 - 0.83. What is the closest to -1 in -3, l, -1/5?
-1/5
Let x = 0.8 - -12.2. Let h = -11 + 1. Let g = x + h. Which is the closest to -1/3? (a) -2 (b) g (c) -1/3
c
Let l = 322 - 324. Let d = -1 - -0.9. Let b be ((-4)/27)/((-2)/(-3)). What is the nearest to 0 in b, d, l?
d
Let s be (-18)/12 - (-5)/2. Let r = 0.14 - 0.24. Which is the nearest to r? (a) s (b) -20 (c) 4
a
Let l = 7 - -11. Let w = 55/3 - l. Let f = 1 + -0.7. What is the nearest to -0.1 in w, 3, f?
f
Let m = -1434 + 1434.1. Let d = -9.79 + -0.21. Which is the closest to 1? (a) m (b) -4/5 (c) d
a
Let w = 248.4 + -248. Let t = -12.3 + 12. What is the nearest to 0.3 in t, w, 0.1?
w
Suppose -182 = -3*c - 182. What is the nearest to 3/4 in c, 0.4, 1/2, -2/7?
1/2
Let c(k) = 1 + k**2 - k**2 - 2*k**2 + 3*k**2 - 3*k. Let x be c(4). What is the closest to 1 in 0, x, -2/3?
0
Let x = -384 + 306. Which is the nearest to -1? (a) x (b) 1/3 (c) 0
c
Let k = -10.864 - -0.064. Let j = k + 8.8. Let i = -4 + 4.1. What is the nearest to i in j, -0.3, 3/7?
3/7
Let v = -2.47 + 2.97. What is the nearest to -2/7 in v, -8, -0.5, 1?
-0.5
Let n = 8.8 + 40.2. Let i = 48.6 - n. Let f = -3.5 + 3. What is the closest to i in f, 1/8, 2/9?
f
Let u = 0.03 - -6.97. Let w = u - 7.1. Let r = -1.3 + -3.7. Which is the nearest to 3/2? (a) w (b) r (c) -0.2
a
Let t = 5356 - 37494/7. Let n = 7.7 - 8. What is the closest to t in 0.4, -4, n?
n
Let q be (1 - (-54)/(-52))*10/(-5). What is the closest to 0 in 0.5, 0.1, q, -0.2?
q
Let g be ((-32)/40)/((-3)/90). Let y be (-22)/g + (-18)/(-27). Let d = 2/33 - -95/66. Which is the nearest to y? (a) d (b) 1 (c) -2/15
c
Suppose 0 = -5*d + m + 10, 0*d + 4*m + 21 = d. Let h be 55/(-20) - -2*d. Let k be ((-6)/(-10))/(3/(-2)). Which is the closest to -1? (a) -2/13 (b) k (c) h
c
Let j be 16/(-24) - 31/12. Let t = j - -43/12. Which is the nearest to 1/7? (a) -1/4 (b) -2/15 (c) t
c
Let l = 561.6 - 562. Which is the closest to 8/3? (a) 3 (b) -0.3 (c) 0.2 (d) l
a
Suppose -10*k + 7*k - 3 = 0. Which is the closest to 0.1? (a) k (b) -43 (c) -3
a
Let s = 60 + -38.8. Let z = 38 + -59. Let h = z + s. What is the closest to h in -5, 0, 5?
0
Let s = 0.339 + -0.279. Which is the closest to 0.1? (a) 3 (b) 0 (c) s (d) 0.4
c
Let u = -5/18 - 7/18. What is the nearest to 0.3 in u, -0.1, 1/30?
1/30
Let s be (-112)/588 - (4/(-14) - (-39)/91). Let h = 47/24 - 21/8. What is the closest to 2 in s, h, -3?
s
Let d = -0.737 + 0.237. What is the nearest to 1/2 in d, -9/2, -5?
d
Let s = -968 + 6778/7. What is the closest to 4 in 12, -1, s, 3?
3
Let v(h) = -5*h + 4*h + h + h - 9. Let j be v(8). Which is the closest to j? (a) -3/2 (b) -1 (c) 1/3
b
Let r = -863/1140 + 2/285. Let s = 18.5 - 18.8. Which is the nearest to -2/5? (a) -3/2 (b) s (c) r
b
Let x = 3/236 + -251/1180. Let h = 0.08 - 4.08. What is the closest to 1 in h, 0, x?
0
Let i = 68/3 + -343/15. Which is the nearest to -1? (a) 0.01 (b) -5/3 (c) -13 (d) i
b
Let d = -6 + 6. Let z = -2 - 4.3. Let b = z + 5.3. What is the closest to b in -0.1, 4/3, d?
-0.1
Let a(y) = -y**2 - 18*y - 33. Let u be a(-16). Let t be (-8)/(-10)*(-6)/(-8). Let x = 13/42 - -1/42. What is the closest to u in t, x, -1?
-1
Suppose -4*f = -14 + 2. Let c = -0.237 + 0.037. What is the closest to 2/9 in f, c, 0.3?
0.3
Let w = -155/1038 - 3/173. Let b = 3.96 - -0.04. What is the nearest to w in b, -5, 5?
b
Let p = -1446.3 - -1447. Which is the nearest to 1? (a) p (b) 0.09 (c) 4
a
Let f = 0.74 - 0.84. Let p(q) = -q**2 - q. Let b be p(-2). Let v(i) = i - 1. Let l be v(3). What is the nearest to f in b, l, -1?
-1
Let m = -19.7 + 17.7. What is the nearest to -1 in -2/7, 3, m?
-2/7
Let h be 1 + 28/(-45) + 15/(-25). Which is the closest to 0? (a) 0.2 (b) h (c) 22
a
Let j be (-6)/(-21) - 64/126. Let w(m) = m - 21. Let g be w(26). Which is the closest to 1? (a) 0.1 (b) j (c) g
a
Suppose 20 = -5*y - c - 0, -4*y = 5*c + 37. Let p be (-12)/(-18)*y/(-6). What is the closest to p in -0.3, 0, -2?
0
Let o = -3/191 + 215/1528. Let q = -0.1 + 0.2. Let n = 0.2 - q. What is the closest to n in 0.4, 1, o?
o
Suppose 1070 - 1124 = -9*x. What is the closest to 0.1 in -5, x, -8/7?
-8/7
Suppose 3*p = -4*h + 20, -p + 2*h = -3*h + 25. Suppose p = -w - 13 - 27. Let s be w/(-50) - 2/(-10). Which is the nearest to 2/3? (a) s (b) 4 (c) -4
a
Let n be (-1)/6 + ((-21)/9 - -1). Let v = 16 - 15. Which is the nearest to 2/5? (a) v (b) n (c) -4
a
Let l = -0.3 + 1.3. Let f = -14.277 - -14.677. What is the nearest to -0.1 in l, 0.5, f?
f
Let u = 227 - 224. Which is the closest to -5? (a) u (b) -0.5 (c) 0
| {
"pile_set_name": "DM Mathematics"
} |
*(r + 1)*(r + 4)/3
Factor -2*h**2/9 - 736*h/9 - 46904/9.
-2*(h + 82)*(h + 286)/9
Factor -4*s**2 - 15760912*s - 15525396691984.
-4*(s + 1970114)**2
Determine o so that -2*o**2/11 + 4650868*o/11 - 2703821644178/11 = 0.
1162717
Let -2*r**3 - 18660*r**2 = 0. Calculate r.
-9330, 0
Find j such that 5*j**4/6 - 85*j**3/3 - 170*j**2 + 255*j + 2925/2 = 0.
-5, -3, 3, 39
Let 3*q**3 - 357*q**2 - 203928*q - 14169168 = 0. What is q?
-116, 351
Solve 3*u**3 + 1542*u**2 - 43821*u = 0 for u.
-541, 0, 27
Factor l**3/2 + 159*l**2/2 + 1932*l + 12838.
(l + 14)**2*(l + 131)/2
Determine t, given that -2*t**4/3 - 100*t**3/3 - 288*t**2 + 2700*t - 4554 = 0.
-33, -23, 3
Determine o, given that -309*o**5/7 + 354*o**4 + 108102*o**3/7 - 743700*o**2/7 - 842175*o + 114750/7 = 0.
-17, -5, 2/103, 15
Find w, given that -w**2/3 + 11746*w/3 - 34492129/3 = 0.
5873
Factor 3*t**4 + 63*t**3 + 348*t**2 + 288*t.
3*t*(t + 1)*(t + 8)*(t + 12)
What is o in -3*o**2 - 17298*o - 172680 = 0?
-5756, -10
Factor w**2/4 - 767577*w/2 + 589174450929/4.
(w - 767577)**2/4
Solve -21*z**4 - 38310*z**3 - 49185*z**2 + 65640*z + 21876 = 0.
-1823, -2, -2/7, 1
Let 5*d**4 + 19245*d**3 - 115590*d**2 + 231260*d - 154200 = 0. What is d?
-3855, 2
Determine u, given that 3*u**2 - 498891*u + 498888 = 0.
1, 166296
Find t such that -t**4/6 - 16611*t**3/2 - 49831*t**2/2 - 149491*t/6 - 8305 = 0.
-49830, -1
Determine n so that n**3 - 14224*n**2 - 199283*n - 697662 = 0.
-7, 14238
Factor m**2 - 361*m + 3850.
(m - 350)*(m - 11)
Suppose 9*b**5 + 178*b**4 - 720*b**3 - 1090*b**2 + 3111*b + 3312 = 0. Calculate b.
-23, -16/9, -1, 3
Factor -w**5/3 + 2*w**4/3 + 541*w**3 - 1624*w**2/3 - 659344*w/3.
-w*(w - 29)**2*(w + 28)**2/3
Determine w, given that -4*w**3/3 + 1736*w**2/3 + 256444*w/3 + 8275504/3 = 0.
-61, 556
Solve -5*l**3 - 1155*l**2 - 18100*l + 19260 = 0.
-214, -18, 1
Suppose -4*q**2/5 - 348*q/5 + 368 = 0. What is q?
-92, 5
Factor -b**2/3 + 11162*b/3 - 22312.
-(b - 11156)*(b - 6)/3
What is n in 2*n**2 - 290*n + 10292 = 0?
62, 83
Find i, given that -22*i**5/5 + 278*i**4/5 - 534*i**3/5 - 518*i**2/5 + 556*i/5 + 48 = 0.
-1, -4/11, 1, 3, 10
Factor -2*t**4/13 + 11836*t**3/13 - 11834*t**2/13.
-2*t**2*(t - 5917)*(t - 1)/13
Factor -2*x**2 + 120*x + 27000.
-2*(x - 150)*(x + 90)
Factor -2*k**2/7 + 5800*k/7 - 46272/7.
-2*(k - 2892)*(k - 8)/7
Factor -4*m**2/5 + 20768*m/5 + 20772/5.
-4*(m - 5193)*(m + 1)/5
Find v such that 4*v**4 - 430724*v**3 + 430720*v**2 = 0.
0, 1, 107680
Determine d, given that 3*d**3/5 - 1539*d**2/5 + 39933*d - 117045 = 0.
3, 255
Factor -4*x**3/7 - 40*x**2 - 5036*x/7 - 680.
-4*(x + 1)*(x + 34)*(x + 35)/7
Suppose 2*z**2 - 7058*z + 14108 = 0. Calculate z.
2, 3527
Factor -2*s**3 - 8468*s**2 - 9005568*s - 89210880.
-2*(s + 10)*(s + 2112)**2
Suppose -39*m**4 + 68292*m**3 - 29864589*m**2 - 27630792*m + 2302128 = 0. What is m?
-1, 1/13, 876
Find l such that -2*l**3/5 + 94886*l**2 - 28135715326*l/5 + 28135240898/5 = 0.
1, 118607
Factor 4*r**4 + 520*r**3 - 2188*r**2 - 5920*r - 3216.
4*(r - 6)*(r + 1)**2*(r + 134)
Find q such that 2*q**3/13 - 56*q**2 + 19208*q/13 - 131712/13 = 0.
14, 336
Find a such that 2*a**2 - 480*a - 4482 = 0.
-9, 249
Factor 3*m**2 + 155691*m + 155688.
3*(m + 1)*(m + 51896)
Let n**4/3 + 15*n**3 + 308*n**2/3 + 148*n = 0. What is n?
-37, -6, -2, 0
Factor 3*j**2/5 + 980916*j/5 + 80183016588/5.
3*(j + 163486)**2/5
Factor 3*o**2/5 + 9894*o/5.
3*o*(o + 3298)/5
Factor 20*w**3/3 - 1492*w**2/3 - 1760*w - 624.
4*(w - 78)*(w + 3)*(5*w + 2)/3
Determine g, given that -g**2 - 354*g - 8528 = 0.
-328, -26
Factor 3*m**3/7 - 12042*m**2/7 + 96192*m/7 - 192288/7.
3*(m - 4006)*(m - 4)**2/7
Let n**5 + 859*n**4 + 175248*n**3 - 3953140*n**2 + 24622400*n - 34848000 = 0. Calculate n.
-440, 2, 9, 10
Factor k**3/7 + 93*k**2/7 - 918*k/7.
k*(k - 9)*(k + 102)/7
Let -550*f**5 + 66020*f**4 + 2974398*f**3/11 - 108880*f**2/11 + 992*f/11 = 0. Calculate f.
-4, 0, 1/55, 124
Determine x, given that 12*x**5/5 + 22*x**4 - 522*x**3/5 - 1062*x**2/5 + 3726*x/5 + 648/5 = 0.
-12, -3, -1/6, 3
Factor o**2 + 16238*o - 16239.
(o - 1)*(o + 16239)
Suppose -9*w**3 - 91884*w**2 + 704913*w - 613020 = 0. Calculate w.
-10217, 1, 20/3
Factor 5*x**2 - 1575*x + 4680.
5*(x - 312)*(x - 3)
Suppose 2*q**2 + 366964*q + 16832822162 = 0. Calculate q.
-91741
Factor 2*g**2/9 + 100*g/3 + 1008.
2*(g + 42)*(g + 108)/9
What is m in m**4/4 - 21*m**3/2 + 597*m**2/4 - 803*m + 1089 = 0?
2, 11, 18
Let -4*x**3 - 1300*x**2 + 20704*x + 103360 = 0. What is x?
-340, -4, 19
Factor -3*q**2 + 1140*q - 11100.
-3*(q - 370)*(q - 10)
Determine g so that 2*g**5/5 - 5134*g**4/5 - 5138*g**3/5 + 5134*g**2/5 + 5136*g/5 = 0.
-1, 0, 1, 2568
Let 3*h**4/5 + 3429*h**3 + 171201*h**2/5 + 290979*h/5 + 27384 = 0. What is h?
-5705, -8, -1
What is f in 11*f**3/2 - 99251*f**2/2 - 58655*f - 9024 = 0?
-1, -2/11, 9024
Let -2*x**2/7 + 175328*x/7 + 175330/7 = 0. What is x?
-1, 87665
Factor 56*v**3 - 450*v**2 + 856*v - 30.
2*(v - 5)*(v - 3)*(28*v - 1)
Suppose 23*h**4 - 2049*h**3 + 11747*h**2 - 10551*h + 830 = 0. What is h?
2/23, 1, 5, 83
Suppose -2*n**3 - 1574*n**2 - 178480*n + 56285600 = 0. Calculate n.
-460, 133
Factor 2*g**4/9 + 24062*g**3/9 + 24058*g**2/3 + 72170*g/9 + 24056/9.
2*(g + 1)**3*(g + 12028)/9
Solve -17*c**3/4 + 63*c**2 + 7695*c/4 + 675/2 = 0 for c.
-15, -3/17, 30
Solve 8*j**2 + 250*j + 1488 = 0.
-93/4, -8
Factor -2*t**4/7 + 4784*t**3/7 - 2879904*t**2/7 + 22810112*t/7 - 45467648/7.
-2*(t - 1192)**2*(t - 4)**2/7
Factor -3*z**3 + 5472*z**2 - 16305*z - 152964.
-3*(z - 1821)*(z - 7)*(z + 4)
Determine w, given that -155*w**2 - 45*w + 110 = 0.
-1, 22/31
Solve 2*m**4/5 + 106*m**3/5 - 1970*m**2 + 9270*m = 0 for m.
-103, 0, 5, 45
Factor -o**3/3 + 8305*o**2/3 + 33232*o/3 + 33236/3.
-(o - 8309)*(o + 2)**2/3
Determine w so that 2*w**2 + 1282*w + 5096 = 0.
-637, -4
Solve -p**3/3 + 10*p**2/3 + 13*p/3 - 22/3 = 0.
-2, 1, 11
Let -3893*l**2/6 - 7789*l/12 - 1/4 = 0. Calculate l.
-1, -3/7786
Solve p**4 - 566*p**3 + 82320*p**2 - 631098*p + 1167615 = 0 for p.
3, 5, 279
Factor -d**2/7 + 339*d/7 - 2264.
-(d - 283)*(d - 56)/7
Solve -p**5 + 11*p**4 + 422*p**3 - 1242*p**2 - 60021*p - 263169 = 0 for p.
-9, 19
Determine q, given that -20*q**5 - 9952*q**4 - 1185156*q**3 + 13165496*q**2 - 32172656*q + 10838688 = 0.
-254, 2/5, 3, 7
What is u in -5*u**2/8 + 19059*u/4 + 1906 = 0?
-2/5, 7624
Solve 8*y**5 - 166*y**4 + 272*y**3 - 114*y**2 = 0 for y.
0, 3/4, 1, 19
Factor 4*n**3 + 940*n**2 + 29944*n.
4*n*(n + 38)*(n + 197)
Solve 5*x**4 + 2980*x**3 + 406820*x**2 - 11085600*x + 69192000 = 0 for x.
-310, 12
Determine o so that -o**5/2 + 7*o**4 + 855*o**3/2 - 28*o**2 - 1702*o = 0.
-23, -2, 0, 2, 37
Determine z, given that -4*z**5 - 308*z**4 - 2508*z**3 - 4108*z**2 - 1904*z = 0.
-68, -7, -1, 0
Suppose -3*g**2/8 + 8895*g/8 - 26631/4 = 0. What is g?
6, 2959
Suppose 14*h**4/9 + 4652*h**3/9 - 8360*h**2/9 - 114992*h/9 - 10688/3 = 0. What is h?
-334, -4, -2/7, 6
Determine w, given that 4*w**3/7 + 106452*w**2/7 = 0.
-26613, 0
Factor 5*d**2 - 23255*d + 830700.
5*(d - 4615)*(d - 36)
What is p in 3*p**2 - 903*p - 52650 = 0?
-50, 351
Suppose -3*f**2 - 283404*f - 283401 = 0. Calculate f.
-94467, -1
Factor -3*m**3/7 + 606*m**2/7 - 5397*m + 107016.
-3*(m - 104)*(m - 49)**2/7
Let -55*f**2 - 940670*f - 85515 = 0. What is f?
-17103, -1/11
Find c, given that 2*c**4/3 - 41452*c**3/3 - 235034*c**2 - 3318752*c/3 - 2655104/3 = 0.
-8, -1, 20743
Solve -125*o**5 - 5025*o**4 - 45795*o**3 + 94205*o**2 - 52080*o + 8820 = 0 for o.
-21, 2/5, 1
Determine p, given that -8*p**3/11 - 755154*p**2/11 - 154460*p - 377568/11 = 0.
-94392, -2, -1/4
Let 3*u**2 + 1848*u + 7344 = 0. What is u?
-612, -4
Let -2*u**3/5 - 214*u**2/5 - 4272*u/5 - 23904/5 = 0. What is u?
-83, -12
Find b such that -2*b**2 - 83040*b - 861955200 = 0.
-20760
Factor 1250*j**3/13 + 149900*j**2 + 1869888*j/13 + 448704/13.
2*(j + 1558)*(25*j + 12)**2/13
Solve 22*t**2/3 - 45604*t/3 = 0 for t.
0, 22802/11
What is a in 4359*a**2 + 4464*a + 105 = 0?
-1, -35/1453
Let 2*t**2/3 + 54560*t/3 + 436352/3 = 0. What is t?
-27272, -8
What is v in 2*v**2/5 - 6492*v + 713152/5 = 0?
22, 16208
Solve s**2/7 - 2404*s/7 + 101523/7 = 0 for s.
43, 2361
Factor -3*c**4 + 78*c**3 + 441*c**2 + 732*c + 372.
-3*(c - 31)*(c + 1)*(c + 2)**2
Suppose -27*n**5/2 - 3*n**4/2 + 906*n**3 + 126*n**2 - 2688*n - 1920 = 0. What is n?
-8, -10/9, -1, 2, 8
Fi | {
"pile_set_name": "DM Mathematics"
} |
hat is the closest to g in r, -2, 2/17?
-2
Let y(p) = -2*p - 8. Let o be y(-6). Let i be (-1)/2*o/(-10). What is the nearest to -1 in 1/3, 1, i?
i
Let m = 0.042 - -0.058. Which is the nearest to m? (a) 0 (b) 4/3 (c) -4/7
a
Let p be 4/6*(-3)/(-5). Let r = 57 + -57.2. What is the closest to p in r, 0, -1/4?
0
Let o be 51/(-126) - 2/21. What is the closest to o in -12, -3/4, 1?
-3/4
Let n be (-28)/24*(-12)/21. What is the closest to 1 in 0, n, 3/5?
n
Let x(l) = -4*l**2 + l + 1. Let k be x(-1). Let t = 8 - 8.1. Which is the closest to 0? (a) k (b) 0.5 (c) t
c
Let n = 16 - 15.91. Let h = n - -0.91. What is the closest to -2/7 in h, 0.4, -3?
0.4
Let c = 14 + -16. Let k = 0.05 - 2.05. Let s = k + -1. What is the nearest to 2 in 4, s, c?
4
Let d(l) = -l**3 + 6*l**2 + 6*l + 8. Let q be d(7). Let z = -55 + 50. Let k = 0.3 + -0.2. Which is the closest to k? (a) -4/3 (b) q (c) z
b
Let m = 1284/7 - 184. Which is the nearest to -0.1? (a) 0 (b) 0.2 (c) m
a
Let o be (-5)/3 - ((-949)/78 - -12). Let u = 1 - 1.5. What is the nearest to 0.2 in -3, u, o?
u
Let r = 0.153 + -0.153. Let s = 0.1 + -0.5. Which is the closest to r? (a) -0.5 (b) s (c) 5
b
Let g = -1.73 - 1.27. Let d = -2 - -5. Let t = d - -2. Which is the nearest to g? (a) t (b) 2/17 (c) 1
b
Let j = -5 + 5.2. Let w = j + 0. Which is the nearest to -0.1? (a) -2/7 (b) -5 (c) w
a
Let h = -0.3 + 0.16. Let b = h + -0.06. Let d = -2 + 1.7. What is the closest to -1 in 2/13, d, b?
d
Let u be -6*2/(-16) + -1. Let r = -81 + 84. What is the nearest to u in -0.1, 0, r?
-0.1
Let i = -6.14 + 0.14. Let y = -6 - i. What is the nearest to y in 1/2, -0.4, 0.2?
0.2
Let s = 0.2 - 0.2. Let j = -22.7 + 17. Let h = j + 6. Which is the nearest to -0.2? (a) s (b) -0.5 (c) h
a
Let h = -2 + 4. Let v = -1 - -0.9. Let r = 171 - 167. What is the nearest to v in r, -2/3, h?
-2/3
Let u = -28 + 28.4. Which is the closest to 0.1? (a) -1 (b) -3 (c) u
c
Let x = 0.06 + -0.26. What is the nearest to 1 in 1, 0, x?
1
Let i = 17 - 49/3. What is the closest to i in 0.7, -0.1, 4?
0.7
Let i = 2.3 - 1.54. Let n = i - -0.24. Let s = 4 - 8. Which is the nearest to 0.1? (a) n (b) s (c) -1/9
c
Let t = 3.9 - 0.9. Let p be (-1)/2*(-2)/8. Which is the closest to 2/11? (a) -4 (b) t (c) p
c
Let l = -7.3 + 7. Let p = l - -0.2. Let y = 0 + p. Which is the closest to 0? (a) -2 (b) y (c) 0.5
b
Let v be (-7)/(-30) - 20/50. Which is the closest to v? (a) 2/11 (b) 0 (c) 2/13
b
Let m(h) = -7*h**2 + 3*h + 6. Let p be m(-3). Let y be (p/15)/2 + 2. Let s = 0.1 + 0.1. Which is the nearest to -0.1? (a) -3/2 (b) s (c) y
c
Let u = 0.15 + -0.05. Let h = -0.17 + 0.17. What is the nearest to u in 3/4, h, -2?
h
Let p = -65 + 64. Let j = 1/27 - 61/189. Let b be -2*(-2)/12*2. What is the nearest to b in p, j, -4/3?
j
Let g = 147 + -147. Let k = -0.9 + 1. Which is the nearest to k? (a) 5 (b) g (c) -0.2
b
Let x = -5.12 + 0.12. Let u = x + 5.1. What is the closest to -4 in 3, -1/2, u?
-1/2
Let s = 97 - 97. Let t = 10 + -48/5. Which is the closest to t? (a) -4/9 (b) s (c) -3
b
Let x be (0 - (-1)/4*-2)*-8. What is the closest to -0.2 in -1/2, 3, x?
-1/2
Let l be ((-3)/1 + 0)*1. Which is the closest to 1? (a) 4 (b) l (c) 0.2
c
Let j = 10 + -1. Let z = j - 6. What is the closest to 1 in z, 0.4, -4/5?
0.4
Let v = -6 - -6. Let f = -0.36 + v. Let n = f + 0.06. What is the closest to 0.2 in 2, n, -3?
n
Let r = -7.2 + -1. Let m = 4 + r. Let y = m + 4. What is the nearest to y in 2, 4, -2?
-2
Let g = 0.08 - 0.38. Which is the nearest to 2/5? (a) -0.05 (b) g (c) 1/4
c
Let p = 0 - 1. Let i = -0.7 - p. What is the closest to 2 in i, -4, -0.5?
i
Let v = 0 - -1.5. Let q = -1.9 - -3.9. Let u = v - q. Which is the nearest to -1? (a) u (b) 0 (c) 0.4
a
Let g = -0.1 + 0.1. Let l = -2.1 - -1.97. Let d = l + -0.37. What is the nearest to -0.2 in d, g, -5?
g
Let o = 0.01 + 0.09. Suppose 2 - 6 = q. What is the closest to 1 in 1, o, q?
1
Let x be 8/9*12/16. Which is the nearest to x? (a) -2 (b) -0.2 (c) 3
b
Let s = 0.01 + 0.01. Which is the nearest to 1? (a) 0.5 (b) s (c) -0.2
a
Let g(w) = -w**2 - 6*w - 6. Let o be g(-4). Let a be (o - 3)*(2 - -1). What is the nearest to -5 in -1/3, a, 0.3?
a
Let k be 3/15*75/20. Let u = -0.1 - 0.3. Which is the nearest to -1? (a) u (b) k (c) -1
c
Let m = -199/95 - -11/5. Which is the nearest to 0.1? (a) -1 (b) -2.2 (c) m
c
Let z = 0.4 + -0.7. Let o = -5 + 5.4. Let w = o + z. What is the nearest to 1 in w, -4, -1?
w
Let s be ((-2)/4 + -1)*-6. Let d be (12/s - 2)*3. What is the closest to d in -2, 2/11, -1/3?
-2
Suppose -8 = 4*d - b, 20 = 2*d - 6*d + 4*b. Let v = 1.1 - -3.9. What is the nearest to d in v, 0.2, -5/4?
-5/4
Let t = -29 - -25.95. Let q = -3 - t. Let s = -3.05 + q. Which is the nearest to -1? (a) 4/5 (b) s (c) -4
a
Let z = 0.5 - 1. Let s = -3.964 - 0.036. Which is the closest to 0.1? (a) -0.1 (b) z (c) s
a
Let c = -5.01 - -0.01. Let r = -5.03 - c. Let z = r + -0.27. What is the closest to 0.2 in 3, z, 4/5?
z
Let q = -3.16 + 1.16. Which is the nearest to q? (a) 3/5 (b) 1 (c) 0.1
c
Let g = -6/13 - -5/39. Suppose 3*f - m = -1, 0*m + 4*m + 30 = -5*f. Which is the nearest to 1? (a) -1/7 (b) g (c) f
a
Let r = 73/4 - 18. Let m be (-55)/(-15) + (-2)/(-6). Let s be m*(42/44 - 1). What is the closest to s in r, -2/13, 2/3?
-2/13
Let r = 22 - 15. Suppose -r = 5*j + 3. Which is the closest to 1/2? (a) -1 (b) j (c) -0.1
c
Let y be (-133)/539 - (-6)/14. What is the nearest to -1 in y, -3/8, 2/7?
-3/8
Suppose -3*a = 5*q - 5, 2*a + 14 = -0*q + q. Suppose o - 7 = r, o + 24 = -q*r + 3*o. What is the nearest to -2 in 2/9, r, 0?
0
Let r = -1.4 - -1.7. Let f be 2/((-6)/(-2) + -12). Let y be ((2/2)/(-1))/(-1). What is the nearest to -2/3 in r, y, f?
f
Let r = 0.4 + -0.8. Let m = -0.1 + r. What is the closest to -1 in m, 2, 0?
m
Let z = -82.98 - -82. Let n = z + -0.02. Which is the closest to 1? (a) 5 (b) n (c) -4
b
Let b be -3*(-2)/6*(-2)/1. What is the closest to 1 in b, 2, -9?
2
Let r = -7 + 14. What is the closest to 0 in 1, r, 0?
0
Let j = 1.1 - 3.1. Let t be -3 - (-21)/27 - -2. What is the nearest to -3 in 2, j, t?
j
Let w = -0.9 + -0.1. Let z = w - -0.6. Which is the nearest to 2/3? (a) 1/2 (b) 0 (c) z
a
Let l = -1 - 0. Let b = -0.13 + 0.03. What is the closest to l in -2/7, -4, b?
-2/7
Let d = 1.1 - 0.1. What is the nearest to -7 in d, 4/5, -1/3?
-1/3
Let j be (0 + 3/78)/1. Let p = -55/78 + j. Which is the closest to -2/7? (a) 3/2 (b) p (c) 4
b
Suppose -5*j + 2*g + 19 = 3*g, 4*g - 28 = -4*j. Which is the nearest to -2/7? (a) -2/3 (b) -5 (c) j
a
Suppose 3*v = 3 + 3. Suppose 0*f + 2*f = 5*c + 18, v*f = 8. What is the closest to -0.1 in -5, c, -1/2?
-1/2
Let n = 6/119 + -40/119. Let w = 0.9 - -0.3. Let i = -1.6 + w. What is the closest to -2/5 in n, 5, i?
i
Let v = 0.1 + 0.4. What is the closest to -0.2 in v, 2/9, -2/7?
-2/7
Let m = -0.1 - -3.1. Let p = -3.2 + m. What is the nearest to -0.1 in -5, 2, p?
p
Let s = 14 - 16. Which is the nearest to -2/7? (a) s (b) -2/3 (c) 2/13
b
Let s = -17 + 17. Let g = 0 - 0.2. What is the nearest to 0.1 in s, g, -0.1?
s
Let t = -5.8 - -6. Let j be ((-20)/(-7))/((-6)/98). Let s = 47 + j. What is the nearest to s in t, 0, -4?
t
Let x be (-3)/(-2)*32/312. What is the nearest to -1/2 in 3, -5, x?
x
Let i be (-6)/(-10) + (-2)/(-5). Let k be (-1)/(-6) + i/2. Which is the nearest to -3? (a) 1 (b) -5 (c) k
b
Let k = 0.4 + -0.4. Let y = k - 0. Let d = -1/129 + -214/129. Which is the nearest to y? (a) d (b) -2/15 (c) 3
b
Suppose 4*x - 5*k + 7 = -4*k, -4*k = 4. Let o be x/(-4) + 1/(-2). Let l = o - 0. Which is the closest to 2/5? (a) 4 (b) l (c) 5
b
Let m = -24 - -6. Let h = -17 - m. What is the nearest to h in 0.3, -0.3, 0.4?
0.4
Let v = 43/204 - 5/17. Let r(t) = t**2 - 6*t - 45. Let y be r(-4). Which is the closest to -0.1? (a) y (b) v (c) -3
b
Let k be 4/(-10) - (18/20)/(-1). Which is the closest to 1? (a) k (b) -6 (c) 3
a
Let t = 20.21 + -20. Let d = t + -0.61. Suppose 4 = 2*u, -4*s = 6*u - u + 10. What is the nearest to -0.1 in d, 1, s?
d
Let h(q) = 15*q - 1. Let w be h(3). Suppose 5*s - 35 = 5*p, 0*p + w = 5*s - 2*p. Let j = -29/3 + s. Which is the closest to 0.1? (a) -0.1 (b) j (c) 2
a
Suppose 0 = -g - 4*l - 12, g = -4*l - l - | {
"pile_set_name": "DM Mathematics"
} |
)*z)))*z*z*z*z)/z*z*z)/z**8)**11 assuming z is positive.
z**(2453/45)
Simplify ((r**(3/34)*r/(r*r/r**(1/3)))/(r**(1/76)*r**14*r))**36 assuming r is positive.
r**(-181299/323)
Simplify (((s*s**(-2/3)*s)/(s**18*s))/(s**16/((s/s**(-1/25))/s)))**50 assuming s is positive.
s**(-5044/3)
Simplify (l**(1/2)/(l*l**(5/4)/l)*l/l**(-2/69)*l**(-14))**(13/3) assuming l is positive.
l**(-49231/828)
Simplify ((p**0)**(3/23))**35*((p/((p**3/p*p)/p))/(p/(p*p*p*p/p**(3/2)*p*p)))/(p**0*p)**(-19) assuming p is positive.
p**(43/2)
Simplify (((((k/k**1*k)/k)/k)/k**(-6))/(k*k/((k*k/k**(-7/5))/k*k))**(3/8))**(-23/3) assuming k is positive.
k**(-5083/120)
Simplify ((m**(2/13))**(1/43)/(m/m**(1/2)*m*m)**(2/55))**(-15/7) assuming m is positive.
m**(8055/43043)
Simplify (p**(-1/3)/(p*p**4))/(p**(-7)*p*p**(-2/11))*(p**1/p)**39*(p/((p*p**(-6)/p)/p)*p)/p**(-6) assuming p is positive.
p**(523/33)
Simplify (d**6/d**(1/3)*((d*d**1)/d)**(-2/87))/((d*d*d**(-1/4)*d)/(d*(d*d**5)/d))**(-7/6) assuming d is positive.
d**(1289/696)
Simplify ((y/(y**(-2/19)*y))/(y**(-4)*y))/(y**0*y)**(23/4)*(y*y**(-2)*y*((y/y**(-2/5))/y)/y)**(-39) assuming y is positive.
y**(7887/380)
Simplify (d/(d**(-2/5)*d))**18/((d*d**0*d)/d)**1*(d**0*d*d*(d**(-2/5)/d)/d*d)**(-19) assuming d is positive.
d**(-26/5)
Simplify (t**(-21)*t/(((t**(6/7)/t)/t)/t))/((t**20/t)/t)**(9/10) assuming t is positive.
t**(-1192/35)
Simplify (u*(u/(u**(1/9)*u))/u*u/(u**(-4)/u))**(-8/3)/(u**1*u*u**2*u**(-1/4)*u*u/(u**(-9)/u)) assuming u is positive.
u**(-3397/108)
Simplify ((u*u**(-2/7)/u)/(u*(u*u*u**(-2/15)*u*u)/u))**(-1/67)*(u/u**5*u/(u*u*u/((u**(-2)/u)/u)))/(u**(-4/7)/u**(-5)) assuming u is positive.
u**(-101069/7035)
Simplify k/(k**42/k)*k**(3/4)*k*k**5/k**(-1/13) assuming k is positive.
k**(-1725/52)
Simplify ((((x/x**1)/x*x)/x)**4*((x/((x**(-1/4)*x*x)/x)*x)/x)**36)/((x*x**(-1/3))/(x**(-3)*x))**(-22) assuming x is positive.
x**(191/3)
Simplify (l**(3/8)*l*l*l*l/(l/(l*l**(-5/4)*l*l))*l**(-20)/l**(-5))**(4/17) assuming l is positive.
l**(-79/34)
Simplify ((u**(-12)*u*u)**(-2/43)/((u*u**(2/27))/(u**(-2/25)/u*u*u)))**(5/8) assuming u is positive.
u**(2257/11610)
Simplify (b**(7/8)*b**(-15))/(b*b**(2/55)*b*b/b**(2/35)) assuming b is positive.
b**(-52681/3080)
Simplify (z**5/z*z*z**(1/3)*z*z)**(2/3)/(((z**(-6)*z)/z*z*z**0)/(z**(2/7)*z*z*z**5)) assuming z is positive.
z**(1082/63)
Simplify (j/(j*j*j/(j/(j*j/((j*j/(j/(j/(j*j**(4/5)))))/j)))*j)*j**(-2)*j**(9/5)*j**1*j)**(40/7) assuming j is positive.
j**(-120/7)
Simplify (u**(-2/7)*u*u**2)**(-40)/((u*u/u**(-9)*u)/(u**0*u))**(-5/6) assuming u is positive.
u**(-4175/42)
Simplify ((((o/(o*o/(o*o/(o/o**(1/14))*o*o)))**34)**(4/7))**10)**0 assuming o is positive.
1
Simplify (((m**(-6/11)/m)/(m*m*(m*m**(1/9)*m)/m))/(m*((m*m*m/m**(-2/5))/m)/m*m*m)**(-9))**34 assuming m is positive.
m**(588098/495)
Simplify (((z**(2/9)/(z/(z*z*z/(z/z**(1/7)))))**18)**36)**(-3/14) assuming z is positive.
z**(-9288/49)
Simplify o**(-46)/(o/(o/((o/(o*o**(-5/4))*o*o*o)/o*o)))*(o*o**(1/4)*o)/o**(-37) assuming o is positive.
o**(-11)
Simplify ((g**(-2/7))**(9/5)/(g**(-19))**22)**7 assuming g is positive.
g**(14612/5)
Simplify ((y**(-3))**9/((y/(y*y**12*y))/(y*y/y**7*y)))**(-49) assuming y is positive.
y**882
Simplify ((i*i*i**(-2))**(-42)/(i**(4/7))**(-15))**(3/20) assuming i is positive.
i**(9/7)
Simplify ((((i*i*(((i/i**(17/3))/i)/i)/i)/i*i)/(i**(-26)/i))**(-37))**(-1/26) assuming i is positive.
i**(1184/39)
Simplify ((l*l**(-13)/l)/(l*l*(l/l**(-2))/l))**(-1/2)/(l**(5/2)/((l*l**(2/7))/l)*(l/((l/(((l/l**9)/l)/l))/l))/(l/(l**(-1/5)/l))) assuming l is positive.
l**(612/35)
Simplify (((t*t/t**(-25))/((t/(t*t**(3/11)))/t*t))/(t**23/t)**(-1/39))**(-1/48) assuming t is positive.
t**(-5971/10296)
Simplify (c*c**(2/11)/c*c**(-1))/(c/(c*c**(-5)*c*c*c)*c*c**(2/27)*c*c)*(c**(-6/5)*c*c**(-2/7))**(1/68) assuming c is positive.
c**(-245297/41580)
Simplify ((o*o**9)/o*o**0/o)**(-20)*(o**(-1))**24/(o/o**(2/3)*o)**(-39) assuming o is positive.
o**(-132)
Simplify b/(b*b*b*b**(-5))*b**1*b*(((b/(b*b/b**(2/5)))/b)/b*b)**(11/4)*((b*b**(2/9))/(b*b*b**(-1/5)))/(b/((b**(-1)*b)/b))**(-6) assuming b is positive.
b**(541/45)
Simplify (d**(-5/3)*d*d**1)**(-18/5)/((d*d**(-1)*d)**(-5)/(d**(-1))**(4/3)) assuming d is positive.
d**(37/15)
Simplify ((q**(2/7))**38*(q**(5/2)/q)/(q*q**5))/(q**4*q*q**(-2)/q*q*q**(-5)*(q**(-2)/q)/q) assuming q is positive.
q**(173/14)
Simplify ((o**(-8)/o)/(o*o**(1/3)))**(-25/7)/((o*o*o**(1/6)/o*o*o*o*o**(-2/29))/(o*o*o/(o**4*o)*o/(o/(o*o**(-3/5))))) assuming o is positive.
o**(190051/6090)
Simplify ((j/(j/j**(-4/25)))/j)**(-46)/(j**(-41))**(-36) assuming j is positive.
j**(-35566/25)
Simplify ((j**(-2/17)*j/j**(-1/7))/(j**(-1)*j)**(-45))/(j**15/j**0)**(7/8) assuming j is positive.
j**(-11519/952)
Simplify ((h*h**(-7))/((h/(h**(-2)/h*h))/h)*(h*h**(-2))/((h/h**3)/h))/((h/(((h/(h**8*h))/h)/h))/h**(-1/10))**(-3) assuming h is positive.
h**(273/10)
Simplify ((k**(2/7))**(-11/7)*(((k**(-4)*k*k)/k)/k)/(k/(k**(2/13)/k)))/((k**(2/7))**0*(k**(-1/3)/k)**(-35)) assuming k is positive.
k**(-101210/1911)
Simplify (u**(-1/7)*u**(-1/4)/u*u)**0*(u**(-1))**(-3/17)*(u/u**(-2/5))**(3/2) assuming u is positive.
u**(387/170)
Simplify (p*p*p*p**21/p*p/(p**(-32)/p)*p)/(p/p**(-8/3))**(-12/7) assuming p is positive.
p**(450/7)
Simplify ((l**(-6/7)/l**5*((l*(l*l*l**2)/l*l*l)/l)**(-26))**44)**(-19) assuming l is positive.
l**(795036/7)
Simplify ((b**0)**(-11))**(-11)*(b**(-4)*b**6)**(-2/17) assuming b is positive.
b**(-4/17)
Simplify b**(1/12)*b**(-1/9)*b*b**(-3/34)*b**(18/11) assuming b is positive.
b**(16967/6732)
Simplify (((i/((i*i*i**(1/5))/i))/i)/((i*((i**25/i)/i)/i)/i))/(i/(i**31*i))**21 assuming i is positive.
i**(3139/5)
Simplify (((c/(c/((c*c**(-2/13))/c)*c))/c*c/(c**(1/12)/c))/(c*c**(3/11)*c*c/(c**(-17)*c)))**(1/7) assuming c is positive.
c**(-33479/12012)
Simplify (r**(-1/6)/r*r**1)**(-10/13)*(r**(2/3))**(7/5)*(r*(r*r**1)/r*r)**(-30) assuming r is positive.
r**(-5781/65)
Simplify ((y**7/y**(1/7))/(y/(y/(y/(y/(y/((y*y*y/(y/(y*y**0))*y)/y*y)))))*y)**(5/3))/(y/y**(2/15)*y**(-7)*((y/(y*y**(1/4)))/y)**5) assuming y is positive.
y**(9481/420)
Simplify ((((b*(b**(-4)/b)/b)/b)/(b**(1/3)*b*b))/(b**1*b)**(-5/3))/((b*b**(3/5)*b)/(b*b**(-6)*b)*(b*b**0)**49) assuming b is positive.
b**(-303/5)
Simplify (i*i/(i/i**0))**(7/5)/(i*i**(-1/3)*i)**(-13/4)*((i*i*i**(-2/11))/i**1)**(-3/26) assuming i is positive.
i**(57677/8580)
Simplify ((h**(-6)/h)/h*h*h**(-4))**(-8/3)*(h**(-6)*h**2)**(3/40) assuming h is positive.
h**(871/30)
Simplify (((g*g**(-7/6))/g)/(g**(-23)/g)*g**(-1/35)/((g**(-8/7)/g)/g*g))**(8/9) assuming g is positive.
g**(20956/945)
Simplify (x**(-4/9)/x*x/(x*x*x/(x/(x*x*x**(6/5)*x)))*x*x)**(-1/5)/(((((x/x**(5/2))/x)/x)/x)/(x*((x/x**2)/x)/x*x)*x**(-5)*(x*x**(3/4))/x) assuming x is positive.
x**(7811/900)
Simplify (a*a/(a/a**(1/4)*a))**(-5/9)*(a**1)**27*(a**(-1)*a)**22*(a*a/a**(2/7))**(3/14) assuming a is positive.
a**(48031/1764)
Simplify (k**(-2/9)/k*k/k**(-6))**9*(k*k*k/(k**(-1)/k))**(16/7)/(k*k**(2/17)*k/k**(-2/7)) assuming k is positive.
k**(7262/119)
Simplify (z**(-5)*z**(-7))/(z**(-1))**0*(z/((z*z**(-1/3))/z))**48*(z/z**4)/(z/(z*(z/z**(1/3)*z)/z*z)) assuming z is positive.
z**(152/3)
Simplify ((o**29)**(-45)*o**(-3)/o*o/(o/(o*o*o**(1/40)*o*o)))**(-13/7) assuming o is positive.
o**(96941/40)
Simplify (q*q/(q/q**(2/21))*q**5/q*(q/(q*q**(-1)*q)*q)/q**(5/3))/(((q*q**(-1)*q)/q**0)/(q**5*q*q/q**(-3/5)*q*q)) assuming q is positive.
q**(456/35)
Simplify (o*o**3*o/(o/o**(-8)))**(27/5)/(o**(-1/11)/(o/((o/o**(-8))/o)))**(-37) assuming o is positive.
o**(12872/55)
Simplify (r*(r/((r**(-4)/r)/r)*r)/r*r**(-1/9))**(-1/9)*((r*r**4)/(r/(r/(r/(r*(r**(2/7)*r)/r*r*r*r)))))/(r**(2/7))**(-23) assuming r is positive.
r**(7927/567)
Simplify ((m*m/(m/(m**12/m)))/((m/(m*m*m**(-10)*m))/m)*m**(2/17)*m*(m*m**(-2)*m*m)/m)**(7/3) assuming m is positive.
m**(728/51)
Simplify (((h*h*h/(h*h**(-4)))/h*h**0)/(h**1/h)**(-43))/((h*h**(1/4))/(h*h**(-5)/h*h)*(h**(-1/3))**6) assuming h is positive.
h**(7/4)
Simplify ((u**(1/2))**(-31)*u/u**2*((u/((u*u/(u*u/u**3*u*u))/u))/u)/u)/(u*u*u**(-2/5)*u*u**(3/4))**(-2/23) assuming u is positive.
u**(-1979/115)
Simplify ((c**(6/7)/(c/(c/(c*c**(4/7)))*c))**(-3/29))**(9/4) assuming c is positive.
c**(81/203)
Simplify ((l/(l*l**(-11))*l)/ | {
"pile_set_name": "DM Mathematics"
} |
ase 15, what is -44b16c2 - -2?
-44b16c0
In base 2, what is 1000000 + 101000001010111100001010?
101000001010111101001010
In base 6, what is -200442 + 3051?
-153351
In base 5, what is -11442144 + -12?
-11442211
In base 3, what is -20 - 10222021101221?
-10222021102011
In base 2, what is -1111010000111001 - -1111100?
-1111001110111101
In base 2, what is -1000011010111000100010001 + -1?
-1000011010111000100010010
In base 15, what is 1480 + -a0?
13d0
In base 5, what is -2120132013 + 342?
-2120131121
In base 4, what is 0 + 1030000332122?
1030000332122
In base 10, what is -6653344 - 5?
-6653349
In base 9, what is -2680661 + 16?
-2680644
In base 13, what is 132 + a7870?
a79a2
In base 8, what is -30111 + 130?
-27761
In base 16, what is -c43196f - 3?
-c431972
In base 3, what is 210202 + -112022110?
-111111201
In base 10, what is -66530 - 990?
-67520
In base 3, what is 102010 - -1022100?
1201110
In base 2, what is 10010010100110011011101101000 - 100?
10010010100110011011101100100
In base 5, what is -23033244 + 13?
-23033231
In base 9, what is -20251031 + -1?
-20251032
In base 10, what is 1467 + 191757?
193224
In base 12, what is 793a8b - 4?
793a87
In base 2, what is -11000110001111100101 + -1?
-11000110001111100110
In base 11, what is -1aa8a - -93?
-1a9a7
In base 12, what is -50 - aa362?
-aa3b2
In base 3, what is -11021222222 + -10102?
-11022010101
In base 10, what is 162626 - -1589?
164215
In base 16, what is 161 + -303f9?
-30298
In base 15, what is -13 - 224bc?
-224d0
In base 6, what is -54 + -24413340?
-24413434
In base 14, what is -2 + 552617?
552615
In base 14, what is 30 + -169947?
-169917
In base 10, what is 8975 + 1652?
10627
In base 13, what is -5772780b + 5?
-57727806
In base 7, what is 20335 - -25456?
46124
In base 3, what is 1220 + 10022200022101?
10022200101021
In base 6, what is -1133521 + 3?
-1133514
In base 11, what is 585807a3 - -1?
585807a4
In base 16, what is -5cbf - -120?
-5b9f
In base 13, what is 633532c0 + 2?
633532c2
In base 14, what is -1 - -3c737?
3c736
In base 8, what is 34142716 + -22?
34142674
In base 15, what is 10dbb8 + -52e?
10d689
In base 13, what is -1 + 5221b63?
5221b62
In base 16, what is -19808 + -181?
-19989
In base 14, what is -159749 - -59?
-1596d0
In base 9, what is -28 + -1737377?
-1737416
In base 11, what is -817982 - -36?
-817947
In base 13, what is 400 + 9782?
9b82
In base 8, what is -2647 + -252515?
-255364
In base 13, what is -c47ca - 7?
-c4804
In base 8, what is 602541 + -2?
602537
In base 16, what is -1a - b385?
-b39f
In base 2, what is -1000011111111 + -1100001000110100?
-1101001100110011
In base 13, what is -2928b4 + 21?
-292893
In base 10, what is 1330966 + 374?
1331340
In base 5, what is 3 - 333222042?
-333222034
In base 11, what is -a41a + 4082?
-6348
In base 12, what is 327126 - -30a?
327434
In base 12, what is 61 - 1581999?
-1581938
In base 7, what is 342 + 25620406?
25621051
In base 7, what is 40141 + -1062?
36046
In base 8, what is -2512376 + -2?
-2512400
In base 12, what is 2899 + 1316?
3bb3
In base 2, what is -110011110011 + 10011110111111001?
10011000100000110
In base 11, what is -147605 + 22?
-147593
In base 14, what is -4 - 42c3a5?
-42c3a9
In base 13, what is 2 + -1b0167?
-1b0165
In base 5, what is -30203102 - -30?
-30203022
In base 9, what is -10547 - 656?
-11314
In base 13, what is -2395 - -37ac?
1417
In base 6, what is 304 + 10045?
10353
In base 9, what is -2858 - 20860?
-23828
In base 12, what is -15 - -b102b?
b1016
In base 14, what is 10d07a + -6?
10d074
In base 15, what is -1 + -1dd01cd?
-1dd01ce
In base 16, what is 3 + -2053444?
-2053441
In base 2, what is 110 + 10001011011011000111?
10001011011011001101
In base 15, what is -1a - ed428?
-ed443
In base 3, what is -12 + -1200012000112221?
-1200012000120010
In base 14, what is -23 - -81465?
81442
In base 15, what is -2b - -48306?
482ca
In base 12, what is 7 - 66a4395?
-66a438a
In base 6, what is -4112 - 221513?
-230025
In base 10, what is -58 + -64535?
-64593
In base 4, what is 3003002 + 23?
3003031
In base 12, what is -41 + 75211?
75190
In base 4, what is 210333213 - 2101301?
202231312
In base 5, what is 0 - -21143323130?
21143323130
In base 2, what is 110101 + -111001000010010000101?
-111001000010001010000
In base 7, what is 43032001 + -22?
43031646
In base 11, what is -1a73 - 93655?
-95618
In base 14, what is b2 + 199bad?
199c81
In base 8, what is 2004206 - 2?
2004204
In base 3, what is 120120202 + 1011200?
121202102
In base 11, what is 7396046 + 1?
7396047
In base 6, what is -43 - 10002255?
-10002342
In base 2, what is 10010010110110001010 + 100?
10010010110110001110
In base 13, what is -9 + -3c37ab?
-3c37b7
In base 11, what is 9018191 + 12?
90181a3
In base 14, what is 3 - -116299?
11629c
In base 8, what is 26704 + -1002?
25702
In base 16, what is -4 + -38db92?
-38db96
In base 4, what is 122001120 + 30202?
122031322
In base 6, what is -4 - 25212223212?
-25212223220
In base 6, what is 5 - -35524444?
35524453
In base 5, what is -2 + -1204444224?
-1204444231
In base 5, what is -40303134 - 3432?
-40312121
In base 4, what is -213133 + 1302?
-211231
In base 12, what is -b - 289074?
-289083
In base 10, what is 155387 - -6?
155393
In base 6, what is -5235544 - -5152?
-5230352
In base 2, what is -111011 - -11000100111010001?
11000100110010110
In base 11, what is 15 + -1a73a8?
-1a7393
In base 12, what is 2004341 + 9?
200434a
In base 7, what is -11254200404 - 1?
-11254200405
In base 16, what is 12c4838 - 20?
12c4818
In base 2, what is 1010011100111 - -10111001000?
1101010101111
In base 15, what is -19dd + -349?
-1d37
In base 7, what is -14021656 + 304?
-14021352
In base 7, what is -232 + 644463?
644231
In base 9, what is 5 - -340853485?
340853501
In base 8, what is -325123162 - 1?
-325123163
In base 11, what is 8 + -9549a0?
-954993
In base 12, what is -16273 - 41?
-162b4
In base 12, what is -13 + -1547106?
-1547119
In base 2, what is 11100000010001101 + 111110?
11100000011001011
In base 12, what is -852 + -129448?
-12a09a
In base 12, what is -15 + 590131?
590118
In base 2, what is 110111001111000111011 - 110?
110111001111000110101
In base 9, what is 830100 + 156?
830256
In base 6, what is -35513222 - -1121?
-35512101
In base 8, what is 366750 - 2225?
364523
In base 2, what is -110001100010001 - 11?
-110001100010100
In base 16, what is 16a - -e8eb7?
e9021
In base 12, what is 253051a + -2?
2530518
In base 16, what is -1956ed - 6?
-1956f3
In base 11, what is -a831965 - 2?
-a831967
In base 8, what is 31 - -11123310?
11123341
In base 14, what is 5c + -19d79?
-19d1b
In base 16, what is -2f73d + -5b?
-2f798
In base 15, what is 20d2d - 19e?
20b7e
In base 8, what is 214110 - -12166?
226276
In base 11, what is 4a9a817 - 19?
4a9a7a9
In base 4, what is -21113121223 - -1?
-21113121222
In base 7, what is -2 - -11340320?
11340315
In base 2, what is -1 - 111100100111001101100?
-111100100111001101101
In base 15, what is 3 + 17c83d7?
17c83da
In base 10, what is -41 - -4224699?
4224658
In base 4, what is -132131232300 + 3?
-132131232231
In base 7, what is -5 + -11312013?
-11312021
In base 6, what is 251051 - -14141?
305232
In base 2, what is -100 + 10100001010110101011010110?
10100001010110101011010010
In base 9, what is -1304 + 2570?
1265
In base 9, what is -13 - -334514?
334501
In base 8, what is 13052 + -543?
12307
In base 3, what is -1201221111110210002 - 1?
-1201221111110210010
In base 16, what is -9 + -7f8?
-801
In base 8, what is 40162 - -1364?
41546
In base 13, what is 5453b50b + -4?
5453b507
In base 16, what is 12eeb + -3b4?
12b37
In base 13, what is -453593 + 17?
-453579
In base 4, what is 103330313000 + -1311?
103330311023
In base 6, what is 22035041 - -342?
22035423
In base 16, what is 1b - 1f3d33?
-1f3d18
In base 15, what is c857b194 + 2?
c857b196
In base 5, what is -4 + -1121302423?
-1121302432
In base 8, what is 330736 - -1516?
332454
In base 15, what is 951b + 1c?
9538
In base 5, what is -1101 + 1331?
230
In base 2, what is 110110010110101 - -10001100100000?
1000111111010101
In base 12, what is 11a917 - 0?
11a917
In base 16, what is -3c1f6 + 1f?
-3c1d7
In base 4, what is -233 - -100312133?
100311300
In base 8, what is 40416354 - -45?
40416421
In base 3, what is -10 - 120121021211002?
-120121021211012
In base 4, what is -31 + 302011?
301320
In ba | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of -103*l**2/2 + 226. Let c(d) = -3*d**2. What is w(c(s))?
309*s**2
Let y(g) = 8*g**2. Let r = 60 - 46. Let s(b) = -4 + 4 + 12*b - r*b. Give y(s(h)).
32*h**2
Let y(a) = 2*a. Let t(v) = 37*v**2 + 839. What is y(t(d))?
74*d**2 + 1678
Let l(t) = 5*t**2 - 1. Let v be l(1). Let c(m) = 2*m + v*m + m - 3*m. Let b(o) = -6*o**2. Calculate c(b(f)).
-24*f**2
Let x(o) = 4*o - 102. Let q(v) = 17*v. Determine q(x(i)).
68*i - 1734
Let o(d) = 2*d - 9883. Let r(b) = -b. Determine r(o(g)).
-2*g + 9883
Let w(x) = 2*x**2 - 31*x. Let n(s) be the first derivative of 5*s**2/2 + 711. Calculate n(w(v)).
10*v**2 - 155*v
Let w(t) = -2*t**2. Let m(f) be the first derivative of 29*f**2/2 - 17. Calculate w(m(z)).
-1682*z**2
Let m(w) be the second derivative of -w**3/6 + w. Let i(h) = -579*h - 579*h + 1166*h. Determine i(m(n)).
-8*n
Let o(y) = -14*y - 1994. Let i(p) = 2*p**2. Give i(o(z)).
392*z**2 + 111664*z + 7952072
Let g(o) = -3*o**2. Let q(x) = -14 - 7 - x**2 + 6*x**2 + 1 - 4*x**2. What is q(g(j))?
9*j**4 - 20
Let g(w) = -3*w**2 - 58*w. Let z(y) = 412*y. Determine g(z(u)).
-509232*u**2 - 23896*u
Let k(v) = -6*v**2. Let j(g) be the second derivative of 0 + 0*g**2 + 4*g + 1/6*g**3. Determine k(j(b)).
-6*b**2
Let u(z) = 4*z**2. Let w(c) = -14*c + 463. Determine u(w(t)).
784*t**2 - 51856*t + 857476
Let v(y) = -4*y**2. Let d = -4 - -9. Suppose 7*w + 10 = 9*w. Let s(z) = d*z - w*z + z**2 + 2*z**2. Give s(v(f)).
48*f**4
Let o(i) = -17*i**2 - 14*i**2 + 2*i**2 - 7*i**2. Let a(m) = -m. Let j(t) = -5*t. Let k(u) = 3*a(u) - j(u). Calculate k(o(p)).
-72*p**2
Let h(z) = -2*z**2. Let b(n) = 25*n**2 - 11*n**2 + n**2 + 27*n**2 - 2*n**2. What is h(b(q))?
-3200*q**4
Let u(s) = s. Let h(d) = 38056*d + 1. What is h(u(j))?
38056*j + 1
Let a(r) = 113*r - 1. Let d(h) = -166*h. Calculate a(d(g)).
-18758*g - 1
Let w(u) = -u**2. Let l(m) be the first derivative of -5*m**3/3 + 24. What is l(w(z))?
-5*z**4
Let v(g) = 551*g + 552*g - 1105*g. Let t(o) = 287*o**2. Give t(v(q)).
1148*q**2
Let n(o) = o**2 + 24422*o - 24422*o. Let u(v) = -136*v - 1. Determine n(u(y)).
18496*y**2 + 272*y + 1
Let s(p) = 22 + 2*p**2 + 5 - 36 + 9. Let n(r) = 960*r. Determine n(s(d)).
1920*d**2
Let a(y) = 973*y. Let p(h) = 4879*h**2 + 2. Determine p(a(i)).
4619090791*i**2 + 2
Let v(u) = -2*u**2. Let g(d) = -27340*d. Determine v(g(s)).
-1494951200*s**2
Let d(r) = 3*r**2. Let m(o) = -3272401*o. What is d(m(f))?
32125824914403*f**2
Let o = -4 + 8. Let k(h) = o*h - 7*h + h. Let j(c) = 135*c + 11*c**2 - 135*c. What is k(j(t))?
-22*t**2
Let q(k) = 6*k**2 - 2. Let m(l) = -1 + 0 - l - 2*l + 4*l. Let c(z) = 3*z - 2. Let d(v) = -2*c(v) + 4*m(v). What is d(q(b))?
-12*b**2 + 4
Let t(i) = -2*i. Let l(j) = 19*j. Let m(p) = 3*p - 14. Let q be m(8). Let x(k) = -58*k. Let z(s) = q*l(s) + 3*x(s). Calculate t(z(v)).
-32*v
Let c(h) = -19*h**2. Let y(g) = 3*g + 2. Let u be y(0). Let t(j) = -48*j**2 - 51*j**2 + 98*j**u. Give t(c(x)).
-361*x**4
Let o(z) = 8*z - 11*z + 4*z. Let c(t) = 64*t - 4. Let a(f) = -129*f + 9. Let b(w) = -2*a(w) - 5*c(w). Calculate o(b(u)).
-62*u + 2
Let f(z) = 9*z - 90. Let b(h) = h - 30. Let p(i) = 3*b(i) - f(i). Let c(v) = -2*v**2 - v**2 + 5*v**2. What is c(p(q))?
72*q**2
Let z be (-2)/(-7) - (3 + 114/(-42)). Let w(v) be the second derivative of 0*v**3 + v + z*v**2 + 1/6*v**4 + 0. Let r(i) = 4*i. What is r(w(l))?
8*l**2
Let s(z) = z**2. Suppose 0 = -3*p - 5*t - 16, 0*p - 2*p + 1 = t. Let u(g) be the first derivative of 2*g**3 + p + 2 - 7 + 12. Calculate u(s(v)).
6*v**4
Let n(w) = 4*w**2. Let t be 13/(-4) + 6/24 + 5. Let j(f) = -174*f - 2*f**t + 174*f. What is j(n(q))?
-32*q**4
Let r(u) = -4*u - 6074. Let k(l) = -6*l. Give r(k(f)).
24*f - 6074
Let u(j) be the second derivative of -5*j**4/12 - 37*j. Let l(z) = -21*z**2. What is l(u(v))?
-525*v**4
Let o(a) = 25*a + 40. Let r = -5 - -8. Let v(q) = -2*q - 3. Let u(w) = r*o(w) + 40*v(w). Let h(c) = 3*c. Calculate u(h(p)).
-15*p
Let v(x) = 4*x**2 - 2*x**2 + 0*x**2. Let t(l) be the third derivative of l**5/12 + 1064*l**2 + 2*l. What is t(v(f))?
20*f**4
Let q(c) be the first derivative of -13*c**2/2 + 3. Let y(m) = 4*m + 2. Let a(u) = 13*u + 7. Let f(x) = -2*a(x) + 7*y(x). What is f(q(d))?
-26*d
Let s(g) = 33*g**2 + 5*g. Let t(v) = 240*v. What is t(s(i))?
7920*i**2 + 1200*i
Let n(p) = -29*p + 8. Let j(q) = -554*q**2 - 2. What is n(j(t))?
16066*t**2 + 66
Let n(q) = -3*q. Let j(l) be the third derivative of l**7/1260 - 13*l**5/60 - 7*l**2. Let c(s) be the third derivative of j(s). Give n(c(h)).
-12*h
Let o(l) = l**2. Let p = -348 - -837. Let g(f) = -489*f - 3*f**2 + p*f - 53*f**2. Calculate o(g(j)).
3136*j**4
Let d(x) = 46*x**2 + 46*x**2 - 138*x**2 + 47*x**2. Let f(p) = 10*p**2 - 3. Let n(q) = -9*q**2 + 2. Let j(r) = 2*f(r) + 3*n(r). Give j(d(u)).
-7*u**4
Let u(x) be the first derivative of x**2 - 202. Let q(h) = 24*h**2. Determine u(q(f)).
48*f**2
Let s(v) = -8*v. Let r(q) = -q**2 + 52634*q - 1. Determine s(r(b)).
8*b**2 - 421072*b + 8
Let z(v) = 3*v. Let l(p) = 64342*p. Determine z(l(q)).
193026*q
Let b(d) = -12*d**2 - 9. Let k(z) = 3*z**2 + 2. Let x(p) = 2*b(p) + 9*k(p). Let r(t) = 89*t. Calculate x(r(m)).
23763*m**2
Let z(b) = 8 + 2*b + 2 - 5*b + 2 - 8. Let o(h) = 3*h**2. What is o(z(s))?
27*s**2 - 72*s + 48
Let w(f) = 15*f. Let y(i) = -9511 + 9511 + 8*i**2. What is w(y(s))?
120*s**2
Let f(n) be the first derivative of -33*n**2/2 - 71. Let j(o) = -4*o. What is j(f(c))?
132*c
Let b(x) = 2*x**2. Let u(h) = -585351*h**2. Determine b(u(i)).
685271586402*i**4
Let b(l) = -1 - 16*l**2 + 5*l**2 + 10*l**2 + 1. Let c(h) = -2*h + 14. Calculate c(b(j)).
2*j**2 + 14
Let h(a) = 10*a**2 + 6*a + 6. Let b(k) = -29*k**2 - 17*k - 17. Let u(p) = 6*b(p) + 17*h(p). Let d(q) = -73 + 73 + 3*q. Calculate d(u(y)).
-12*y**2
Let n(u) = 4*u. Let j(h) be the first derivative of 8*h**3 + 63. Determine n(j(p)).
96*p**2
Let d(k) = -17*k**2 - 1. Let g(b) = 4*b**2 + 6. Let h(o) = 6*o**2 + 10. Let c(w) = -5*g(w) + 3*h(w). What is c(d(s))?
-578*s**4 - 68*s**2 - 2
Let y(n) be the third derivative of n**5/30 + n**2. Let g(c) = 20*c**2 + c - 1. Let d be g(1). Let t(r) = 0 + 18*r**2 + 0 - d*r**2. What is y(t(b))?
8*b**4
Let f(b) be the second derivative of b + 0*b**2 + 0 + 2/3*b**3. Let l(s) be the third derivative of s**5/30 + 1667*s**2. Give l(f(n)).
32*n**2
Let x(l) = l**2. Let o(u) be the second derivative of 8*u + 1/3*u**4 + 0 + 0*u**3 + 0*u**2. What is o(x(q))?
4*q**4
Let t(d) be the second derivative of -d**6/720 - 13*d**4/12 + 3*d. Let g(p) be the third derivative of t(p). Let m(q) = 3*q. Determine m(g(o)).
-3*o
Let l(j) = -192*j**2 + 27*j**2 + 159*j**2. Let p(h) = -193*h**2. What is l(p(r))?
-223494*r**4
Let z(n) = -n**2 + 1359*n + 1358*n - 2717*n. Let g(d) = -23*d**2 + 2. Give z(g(p)).
-529*p**4 + 92*p**2 - 4
Let a = 96 - 91. Let s(p) = -p - 11*p - 2*p + a*p. Let h(d) = -d**2. What is s(h(f))?
9*f**2
Let n(z) = 187 + 8*z - 187. Let y(p) = -26*p**2. What is y(n(a))?
-1664*a**2
Let r(k) = 869276*k. Let c(j) = -3*j. What is r(c(i))?
-2607828*i
Let p(c) = 562893*c**2. Let y(m) = 2*m. What is p(y(k))?
2251572*k**2
Let f(x) = 6599*x. Let h(g) = -8*g**2. Determine f(h(j)).
-52792*j**2
Let a(k) be the second derivative of -5*k**4/12 - 433*k - 5. Let x(r) = -20*r - 22. Let m(b) = 3*b + 3. Let c(q) = -44*m(q) - 6*x(q). What is c(a(n))?
60*n**2
Let z(l) = -6*l. Let x = 1222 + -1220. Let b(s) be the first derivative of 0*s + 3/2*s**x + 4. Calculate b(z(g)).
-18*g
Let o(u) = -4*u. Let z(v) = 15*v**2 + 19*v**2 - 6*v**2 + v**2. Calculate z(o(p)).
464*p**2
Let d(n) = -9930*n. Let i(c) = 42*c**2 - 2. What is i(d(l))?
4141405800*l**2 - 2
Let t(m) = -5*m. Let v(g) = -g**2 + 3*g - 1. Let c(s) = -154*s**2 + 546*s - 182. Let z(q) = -2*c(q) + 364*v(q). What is t(z(d))?
280*d**2
Let b(c) = 232*c**2 - 2*c. Let q(i) = 11*i. Determine q(b(z)).
2552*z**2 - 22*z
Let z(i) = -4*i. Let m(u) be the first derivative of -23*u**2/2 - 3. Let r be (-33)/5 - 3/(-5). Let s(d) = r*m(d) + 34*z(d). Let g(v) = -2*v**2. Give s(g(f)).
-4*f**2
Let b(k) = 12*k**2. Let c(d) = -999*d**2. What is b(c(p))?
11976012*p**4
Let s(n) = -3*n + 2. Let q(a) = -14*a + 8. Let x(k) = -q(k) + 4*s(k). Let u(m) = 711*m. Calculate x(u(t)).
1422*t
Let k(w) = -w. Let y(q) = -21057 + 409*q + 21057. Determine y(k(u)).
-409*u
Suppose 1 + 1 = b. Let p(r) = 10 | {
"pile_set_name": "DM Mathematics"
} |
mainder when v is divided by 6.
4
Suppose 11*k = 10*k + 63. Suppose 3*j = k + 87. What is the remainder when j is divided by 26?
24
Suppose 4*v - 2*a = -0*a + 142, 2*v - 4*a = 74. What is the remainder when v is divided by 10?
5
Let w be 6*1/2 - -2. Suppose 0 = -b - 2*u + 14, 5*u - 3*u - 86 = -w*b. What is the remainder when b is divided by 5?
3
Suppose -2*j - 82 = -5*d, 3*d - 5*j - 12 = 22. Let k = -47 + 255. What is the remainder when 3/((-4)/(k/(-3))) is divided by d?
16
What is the remainder when (-3 - (-33)/9)*9 is divided by 5?
1
Let w = -179 + 272. Suppose -3*y + 3*f + 123 = 0, 5*y - 4*f - w = 112. Calculate the remainder when y is divided by 21.
20
Let p(b) = b**2 + 4*b**2 - 6 - 6*b**2 - 11 + 17*b. Suppose 0*f + 40 = 5*m - 4*f, 2*m - 19 = f. What is the remainder when p(13) is divided by m?
11
Suppose 2*o - 69 = 47. Suppose -3*m + 4*j = -o, 3*m - 40 = m + 4*j. What is the remainder when 33 is divided by m?
15
Let z(q) = 5*q**3 - 3*q + 2. Calculate the remainder when z(2) is divided by 2*(2 - 1) + 17.
17
Let u be (108/30)/((-9)/(-120)). Let h = -25 + u. Calculate the remainder when 67 is divided by h.
21
Let h = -9 + 71. What is the remainder when h is divided by 13?
10
What is the remainder when 4/(-22) - (-796)/22 is divided by 19?
17
Let d(c) = -8*c - 8. What is the remainder when 47 is divided by d(-4)?
23
Suppose -2*k - 3*k = 955. Let n = -105 - k. Calculate the remainder when n is divided by 29.
28
Let k(p) = 3*p - 39. Let n = -5 + 20. What is the remainder when n is divided by k(16)?
6
Suppose -4*s + 148 = -84. Calculate the remainder when 113 is divided by s.
55
Suppose 3*z - z + 2 = 0. Let s = z + 14. Let u = 34 + -29. What is the remainder when s is divided by u?
3
What is the remainder when ((-1)/(-4) - 1)/((-2)/232) is divided by 13?
9
Let s be -2 - 0 - 2/(-1). Let g(y) = -4*y + 3*y + 2 + s. What is the remainder when 19 is divided by g(-5)?
5
Let w = 24 - 22. Suppose -w*t = -15 - 7. What is the remainder when 31 is divided by t?
9
Let v be 10 - -2*3/2. Suppose v = u + 7*z - 3*z, 3*u - 7 = 4*z. Suppose 2*w - u*w = -27. What is the remainder when w is divided by 4?
1
Let g = -50 - -56. Let l = 169 - 120. Let h = l + -26. What is the remainder when h is divided by g?
5
Calculate the remainder when 54 is divided by 207/18 + (-6)/4 + 1.
10
Suppose 39 + 65 = 4*j. Let b(w) = -2*w - 4. Let q be b(-7). Let o = j - q. What is the remainder when 61 is divided by o?
13
Suppose 2 = -4*q + 3*g - 3, 0 = q + g + 10. What is the remainder when 6 is divided by (q - -4)/(1/(-4))?
2
Let m = 27 + -10. Calculate the remainder when 49 is divided by m.
15
Suppose 13 = -2*p + 7*p - 3*f, 4*f + 4 = 0. What is the remainder when (-4)/(-5)*10/4 is divided by p?
0
Let r(q) = 21*q**2 - 2*q - 1. Let c = -86 + 94. Calculate the remainder when r(-1) is divided by c.
6
Suppose 0 = -5*y + 5 + 15. Suppose -3 - 17 = -y*b. What is the remainder when (6/2)/((-1)/(-3)) is divided by b?
4
Let v = -51 + 94. Suppose -15 = -s + 2*l, l + 2 = -0. What is the remainder when v is divided by s?
10
Let f = -12 + 21. Calculate the remainder when f is divided by 3.
0
Let c be (4 + -2)*(-3)/(-2). Let f(s) = s**2 + 4*s + s**2 - s**3 - c*s - 1. Calculate the remainder when f(-3) is divided by 14.
13
Suppose 3*t = 212 - 17. Suppose 0 = 4*o - 5*o + 17. What is the remainder when t is divided by o?
14
Let l(y) = 4 - 4 + 2 + 6*y - 4*y. What is the remainder when 11 is divided by l(2)?
5
Suppose 94 = 11*w - 49. What is the remainder when 115 is divided by w?
11
Suppose -3*g = -5*c - 24 + 113, 4*c = 5*g + 79. What is the remainder when 29 is divided by c?
13
Let u(o) be the second derivative of -o**3/3 - 5*o**2 - 5*o. Calculate the remainder when 18 is divided by u(-10).
8
Suppose 0 = -4*v + 4*r + 28, 0 = -0*v + 4*v - 5*r - 27. Let g(f) = -7*f - 5. Calculate the remainder when g(-4) is divided by v.
7
Let h(w) = w**2 - 4. Let q be h(-5). Let s = 34 - q. Calculate the remainder when s is divided by 5.
3
Suppose -3 = -y + 17. Calculate the remainder when y is divided by (-2)/((-2)/(-22)*-2).
9
Let i = -176 + 308. What is the remainder when i is divided by 34?
30
Suppose -x = -5*x - 24. Calculate the remainder when 2/x + 134/6 is divided by (2 + 4)*5/((-15)/(-6)).
10
Let f = 2 + 1. Suppose -f*i + 2 = -1. Calculate the remainder when 1 is divided by i.
0
Suppose -2*s + 3*g + 1 = -6, -2*g = s. Suppose -3 = 3*v + 9, -3*b = s*v - 94. Calculate the remainder when b is divided by 9.
7
Let n(g) = 6*g. What is the remainder when n(9) is divided by 20?
14
Let a be (-4)/(-2) + 0 + 7. Let y(d) = d + 13. Calculate the remainder when y(a) is divided by 8.
6
Let o(r) = -r**2 - 11*r + 4. Let j be o(-11). Suppose -p = -2*p - j. What is the remainder when 28 is divided by 334/22 - p/(-22)?
13
Let j be 12/(-20) + (-264)/10. Let d = j + 39. Let n(p) = p**3 + 7*p**2 - 2*p - 7. Calculate the remainder when d is divided by n(-7).
5
Suppose 66 = 3*g + 4*i, 5*g - 99 = -5*i + 2*i. What is the remainder when (-3)/((-3)/17) - 2 is divided by (g/(-15))/(3/(-20))?
7
Calculate the remainder when (-12)/(-18) + 638/6 is divided by 36.
35
Let x = 54 - 26. What is the remainder when 82 is divided by x?
26
Let i(o) = -4*o - 5. Let v(n) = 0 + 1 - 4*n + 0*n + 5*n. Let z(w) = -i(w) - 6*v(w). Calculate the remainder when 18 is divided by z(-4).
4
Suppose 6 = z - 0. Calculate the remainder when z + 1*3/(-3) is divided by 2.
1
Let h(r) = 3*r. Calculate the remainder when 49 + (12 + 0)/(-4) is divided by h(8).
22
Let i = 4 - 1. Suppose -18 = -0*d - i*d. What is the remainder when 17 is divided by d?
5
Let n = -86 - -124. What is the remainder when n is divided by 13?
12
Let h(d) = 21*d - 22. What is the remainder when h(10) is divided by 38?
36
Let q(w) = -w**2 - 25*w + 16. Calculate the remainder when 109 is divided by q(-25).
13
Let f = 6 + -8. Let q = -3 - f. What is the remainder when 12 is divided by 9 - ((q - -2) + 1)?
5
Suppose -x = 4 - 15. Suppose w = 7 - 1. What is the remainder when x is divided by w?
5
Let b = 39 - 18. Let j = b - 12. What is the remainder when 33 is divided by j?
6
Let f be 3*((-2)/(-6))/1. Let g = 4 + f. Suppose -3*b + 2*q = -6 - g, 5*b - 21 = 2*q. Calculate the remainder when 9 is divided by b.
4
Let j be -5 - -3 - (-12)/3. Suppose y = -2*z + 1 + 5, 5*z + 48 = j*y. Calculate the remainder when 40 is divided by y.
12
Suppose -5*o = -132 + 27. Let d be 9/(-27) + (-38)/(-6). Suppose -2*j + d = 0, -j + 52 = -4*k + 293. Calculate the remainder when k is divided by o.
19
Let v = -4 - -6. Suppose 0 = -3*x - v*x + 65. Suppose -2*w = 2*k - 16, 0 = 3*k + 5*w - w - 28. Calculate the remainder when x is divided by k.
1
Suppose 0*s - 4*s - 136 = -2*t, 4*t - 48 = s. Calculate the remainder when 10 is divided by ((-4)/(-3))/(s/(-144)).
4
Suppose 2*d = 4*d - 18. What is the remainder when 41 is divided by d?
5
Let n = -216 - -394. What is the remainder when n is divided by 45?
43
Suppose 3*y = -3*b - y + 77, -4*b + 3*y + 61 = 0. Let r = 107 + -186. Let l = r + 115. What is the remainder when l is divided by b?
17
Let n = -6 + 14. Let v(o) = -o**2 - 11*o - 3. What is the remainder when v(-9) is divided by n?
7
Let t = 3 + 1. Suppose -l + 80 = t*l. Suppose 9*j - 279 = -0*j. Calculate the remainder when j is divided by l.
15
What is the remainder when 534/15 - 2/(-5) is divided by 114/(-4)*(-10)/15?
17
Suppose 3*s = -s - f + 87, 3*s = 2*f + 68. Calculate the remainder when 65 is divided by s.
21
Let k(d) = -d**2 + 12*d - 10. What is the remainder when k(5) is divided by 7?
4
Suppose 2*q - 19 = -3. Let s be (-63)/(-4)*8/3. Suppose -4*o + o = -s. What is the remainder when o is divided by q?
6
Suppose 4*h = d + d + 4, -10 = 5*d + 2*h. Let u = 1 + d. What is the remainder when 4 is divided by 2 - (-1 + 1)/u?
0
What is the remainder when 54 is divided by (-1120)/(-98) - ((-3)/(-7) + 0)?
10
Calculate the remainder when 54 is divided by (12/10)/((-36)/(-600)).
14
Suppose -2*w + 7*w + 4*p - 61 = 0, 3*p = -w + 21. Calculate the remainder when w is divided by ((-2)/3)/((-18)/135).
4
Let x = -40 + 73. What is the remainder when x is divided by (14/(-4))/((-1)/2)?
5
Let o(m) = 7*m - 12. Let n(y) = 11*y - 18. Let b(s) = -5*n(s) + 8*o(s). Calculate the remainder when 6 is divided by b(10).
2
Let s(n) = -n**3 + 3*n**2 + 2. Le | {
"pile_set_name": "DM Mathematics"
} |
from {k: 9, r: 3}. Give prob of picking 2 r.
1/22
Three letters picked without replacement from {i: 8, g: 6, d: 3, o: 2}. What is prob of picking 3 i?
56/969
Two letters picked without replacement from fpfppbppb. Give prob of picking 1 f and 1 b.
1/9
Three letters picked without replacement from {j: 2, p: 1}. Give prob of picking 1 p and 2 j.
1
Three letters picked without replacement from {i: 1, b: 1, g: 2, o: 1, s: 2, x: 1}. Give prob of picking 2 s and 1 o.
1/56
What is prob of picking 1 w, 1 z, and 1 a when three letters picked without replacement from auazzhwwl?
2/21
Calculate prob of picking 2 b when two letters picked without replacement from {d: 4, b: 2}.
1/15
Two letters picked without replacement from {e: 1, u: 1, k: 2, a: 1, q: 1, d: 1}. Give prob of picking 1 e and 1 u.
1/21
Two letters picked without replacement from nvobvnozvnvoonoonn. What is prob of picking 2 n?
5/51
Two letters picked without replacement from nsrsrss. What is prob of picking 1 s and 1 n?
4/21
Calculate prob of picking 1 r and 1 l when two letters picked without replacement from rrrlrnrrrnl.
14/55
What is prob of picking 1 q and 1 w when two letters picked without replacement from {q: 3, y: 1, w: 1, c: 1, u: 1}?
1/7
Three letters picked without replacement from {c: 5, w: 3, k: 4}. Give prob of picking 3 c.
1/22
What is prob of picking 2 n when two letters picked without replacement from {n: 4, g: 2}?
2/5
Four letters picked without replacement from {a: 7, d: 2, u: 7, j: 2}. Give prob of picking 1 a, 1 d, and 2 u.
49/510
Calculate prob of picking 2 z and 1 s when three letters picked without replacement from szsxzxxxxxxsxxxttsxx.
1/285
What is prob of picking 1 p and 1 u when two letters picked without replacement from qluqmpz?
1/21
Three letters picked without replacement from {x: 2, l: 3, s: 1, i: 4, a: 3, k: 4}. Give prob of picking 2 s and 1 a.
0
Three letters picked without replacement from {k: 4, f: 1, d: 3, q: 5}. What is prob of picking 1 k, 1 f, and 1 q?
10/143
Calculate prob of picking 2 t and 1 l when three letters picked without replacement from tdlqrlddtd.
1/60
Four letters picked without replacement from wyywwwyvyyyyvyvynwvv. What is prob of picking 3 w and 1 v?
10/969
Calculate prob of picking 3 z and 1 a when four letters picked without replacement from zxzzaazazxzxxaa.
20/273
What is prob of picking 1 n and 1 x when two letters picked without replacement from {l: 3, n: 3, x: 3, r: 3}?
3/22
Calculate prob of picking 1 p and 3 a when four letters picked without replacement from aleleeiealeeaeeepp.
1/1530
Two letters picked without replacement from {o: 3, g: 13, k: 1}. What is prob of picking 1 g and 1 o?
39/136
Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 1, u: 1, j: 6, w: 2, b: 9}.
1/19
Calculate prob of picking 2 r when two letters picked without replacement from {g: 1, r: 6, s: 8}.
1/7
Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, t: 3}.
1/5
Three letters picked without replacement from {e: 1, q: 1, v: 2, u: 2}. What is prob of picking 2 v and 1 q?
1/20
What is prob of picking 1 g and 1 v when two letters picked without replacement from {g: 1, o: 4, v: 3}?
3/28
Calculate prob of picking 1 c, 2 t, and 1 n when four letters picked without replacement from {t: 5, c: 13, n: 2}.
52/969
What is prob of picking 1 q and 1 b when two letters picked without replacement from nrxnbqnnr?
1/36
Two letters picked without replacement from wjjsgwjjgjdbgjbwwj. What is prob of picking 1 w and 1 j?
28/153
Four letters picked without replacement from vdudxjduddduunx. Give prob of picking 1 j, 1 v, 1 d, and 1 u.
8/455
Three letters picked without replacement from {s: 3, v: 1, x: 1, w: 2, h: 7}. What is prob of picking 2 s and 1 h?
3/52
Four letters picked without replacement from {b: 2, d: 6, a: 4}. What is prob of picking 1 a and 3 d?
16/99
Two letters picked without replacement from {q: 2, j: 1, n: 1}. Give prob of picking 1 q and 1 n.
1/3
What is prob of picking 2 y and 2 n when four letters picked without replacement from {y: 6, n: 2}?
3/14
Calculate prob of picking 1 j and 3 d when four letters picked without replacement from djmdmdddmmd.
2/33
Three letters picked without replacement from ohhhohoohooogoohff. What is prob of picking 1 h, 1 g, and 1 o?
9/136
Three letters picked without replacement from {u: 1, z: 3, m: 2, t: 5, n: 1}. Give prob of picking 1 t and 2 z.
3/44
Four letters picked without replacement from {p: 2, z: 3, n: 1, j: 2, d: 4, t: 3}. What is prob of picking 2 j, 1 z, and 1 d?
4/455
Calculate prob of picking 1 s and 2 q when three letters picked without replacement from bqgqvqsq.
3/28
Four letters picked without replacement from ipjjijrrjprjpqiiyr. What is prob of picking 1 p, 2 i, and 1 j?
1/34
Two letters picked without replacement from bflqvbmlvflqbfvl. Give prob of picking 2 b.
1/40
Two letters picked without replacement from {o: 5, b: 3}. Give prob of picking 1 b and 1 o.
15/28
Three letters picked without replacement from {o: 1, f: 4, h: 2}. Give prob of picking 1 o and 2 h.
1/35
What is prob of picking 1 g and 2 s when three letters picked without replacement from {s: 5, g: 9}?
45/182
Two letters picked without replacement from fdddfddddfldflfddfdf. Give prob of picking 2 d.
11/38
What is prob of picking 1 d, 1 o, 1 f, and 1 m when four letters picked without replacement from {f: 1, m: 1, u: 1, a: 2, o: 1, d: 1}?
1/35
Four letters picked without replacement from {i: 2, n: 1, y: 4, d: 9}. What is prob of picking 1 i and 3 y?
2/455
Calculate prob of picking 1 l and 2 p when three letters picked without replacement from {p: 3, l: 2, d: 4}.
1/14
Two letters picked without replacement from aaaaaaa. What is prob of picking 2 a?
1
What is prob of picking 1 d and 1 q when two letters picked without replacement from dqd?
2/3
Four letters picked without replacement from ccmcmclccc. Give prob of picking 1 m and 3 c.
1/3
Calculate prob of picking 3 z and 1 v when four letters picked without replacement from vzssvzvzvvvszvvvzzz.
105/1292
Calculate prob of picking 2 h when two letters picked without replacement from pdgppdhpgpdghhhdpp.
2/51
What is prob of picking 2 m when two letters picked without replacement from {m: 13, k: 5}?
26/51
Two letters picked without replacement from {r: 3, s: 1, b: 8, h: 2, m: 2, a: 4}. Give prob of picking 2 h.
1/190
Three letters picked without replacement from snsnjjjjlln. Give prob of picking 2 n and 1 l.
2/55
Calculate prob of picking 1 n and 1 s when two letters picked without replacement from ncsnsknnwwnns.
3/13
Four letters picked without replacement from {d: 3, w: 1, r: 2, c: 1}. Give prob of picking 2 d, 1 r, and 1 c.
6/35
Two letters picked without replacement from {f: 2, d: 10}. Give prob of picking 2 f.
1/66
Three letters picked without replacement from vdvgdgdfgdggvgdvdg. Give prob of picking 2 d and 1 v.
5/68
Calculate prob of picking 2 q and 1 r when three letters picked without replacement from mnmmrmmmqmnqmmmm.
1/560
Calculate prob of picking 2 a, 1 w, and 1 z when four letters picked without replacement from zzazzwgaaaa.
4/33
What is prob of picking 2 r, 1 b, and 1 y when four letters picked without replacement from {a: 1, r: 2, b: 1, y: 3}?
3/35
What is prob of picking 2 f and 1 y when three letters picked without replacement from {j: 5, y: 2, f: 2}?
1/42
Four letters picked without replacement from xxcffcffccfcxffccc. What is prob of picking 1 f and 3 c?
98/765
Three letters picked without replacement from {t: 2, d: 2, y: 4}. Give prob of picking 1 t and 2 y.
3/14
What is prob of picking 3 u and 1 i when four letters picked without replacement from uiuai?
0
Two letters picked without replacement from lroimvv. Give prob of picking 1 r and 1 l.
1/21
Two letters picked without replacement from jyyjppjppjppp. Give prob of picking 1 y and 1 j.
4/39
Three letters picked without replacement from lrrlrllrlrlrrrllrlr. Give prob of picking 3 r.
40/323
Calculate prob of picking 1 s and 1 z when two letters picked without replacement from hezszzeehhteetehtez.
4/171
Calculate prob of picking 2 g when two letters picked without replacement from egbhhg.
1/15
Three letters picked without replacement from {q: 3, o: 6, d: 1, m: | {
"pile_set_name": "DM Mathematics"
} |
late the common denominator of 62/5 and 18/59.
295
Calculate the least common multiple of 153 and 153.
153
What is the least common multiple of 3 and 3334?
10002
Calculate the least common multiple of 90 and 4.
180
Calculate the common denominator of -75/592 and 113/1332.
5328
Find the common denominator of 37/66 and -169/60.
660
Calculate the least common multiple of 15 and 51.
255
What is the least common multiple of 459 and 216?
3672
What is the common denominator of 97/102 and -101/58?
2958
Calculate the lowest common multiple of 90 and 297.
2970
What is the least common multiple of 12 and 2984?
8952
What is the lowest common multiple of 76 and 8?
152
Calculate the least common multiple of 108 and 654.
11772
Calculate the lowest common multiple of 310 and 100.
3100
What is the lowest common multiple of 2 and 3?
6
What is the common denominator of 97/2884 and 19/206?
2884
What is the common denominator of 12/5 and -10/1897?
9485
Calculate the common denominator of 21/10 and -33/98.
490
Calculate the smallest common multiple of 234 and 1560.
4680
What is the common denominator of -30/11 and 79/510?
5610
What is the common denominator of 113/120 and 89/2220?
4440
What is the least common multiple of 45 and 2620?
23580
What is the common denominator of -83/14 and -19/28?
28
Calculate the common denominator of -85/2088 and 26/27.
6264
Calculate the common denominator of 127/954 and -103/954.
954
Calculate the lowest common multiple of 88 and 14.
616
Calculate the least common multiple of 4124 and 16.
16496
What is the common denominator of -25/2684 and -17/22?
2684
What is the least common multiple of 8183 and 8183?
8183
Calculate the lowest common multiple of 117 and 104.
936
Calculate the common denominator of -115/24 and -43/88.
264
Calculate the least common multiple of 4 and 394.
788
Find the common denominator of 133/4770 and 101/106.
4770
Calculate the lowest common multiple of 24 and 4419.
35352
Calculate the smallest common multiple of 120 and 84.
840
What is the smallest common multiple of 580 and 1160?
1160
Calculate the common denominator of 51/25 and 109/450.
450
Find the common denominator of -99/152 and -157/456.
456
Calculate the common denominator of -67/2589 and -34/9.
7767
Calculate the common denominator of 59/4 and -19/2316.
2316
Calculate the common denominator of 81/16 and 143/426.
3408
What is the lowest common multiple of 1170 and 29?
33930
Calculate the lowest common multiple of 70 and 130.
910
Calculate the common denominator of -85/88 and -42/11.
88
What is the smallest common multiple of 3 and 54?
54
What is the least common multiple of 232 and 290?
1160
What is the least common multiple of 620 and 248?
1240
What is the common denominator of 69/20 and 17/3062?
30620
What is the lowest common multiple of 1923 and 6?
3846
What is the common denominator of -125/48 and 70/213?
3408
Calculate the common denominator of 25/68 and 11/16.
272
What is the common denominator of 7/10 and -29/768?
3840
What is the least common multiple of 2 and 360?
360
What is the common denominator of 113/800 and -59/320?
1600
What is the least common multiple of 1136 and 52?
14768
What is the common denominator of -32/15 and -127/6?
30
Calculate the common denominator of 23/3641 and -34/77.
25487
What is the least common multiple of 44 and 4632?
50952
What is the lowest common multiple of 9 and 3?
9
Calculate the common denominator of 76/9 and -89/162.
162
Calculate the least common multiple of 609 and 87.
609
Calculate the lowest common multiple of 18 and 510.
1530
Find the common denominator of -41/36 and -1/2852.
25668
Calculate the smallest common multiple of 246 and 36.
1476
Find the common denominator of 67/36 and -65/192.
576
What is the lowest common multiple of 2116 and 4761?
19044
Calculate the least common multiple of 6 and 280.
840
What is the common denominator of -119/10 and 13/34?
170
Find the common denominator of -77/228 and -65/912.
912
What is the lowest common multiple of 5 and 44?
220
Calculate the common denominator of 17/22 and -59/1254.
1254
Find the common denominator of 1/336 and -5/99.
11088
What is the lowest common multiple of 15 and 85?
255
What is the least common multiple of 612 and 64?
9792
Calculate the common denominator of -61/24 and 33/32.
96
Find the common denominator of -9/1034 and -85/188.
2068
Calculate the lowest common multiple of 45 and 54.
270
What is the smallest common multiple of 18 and 114?
342
Calculate the least common multiple of 60 and 4.
60
Calculate the lowest common multiple of 6 and 14.
42
What is the common denominator of 79/4 and 99/10?
20
Find the common denominator of 49/855 and 37/99.
9405
What is the common denominator of -43/8 and -29/23870?
95480
What is the smallest common multiple of 430 and 3?
1290
Find the common denominator of -97/156 and 179/60.
780
Find the common denominator of 33/8 and 53/64.
64
Calculate the common denominator of -151/342 and 27/418.
3762
What is the smallest common multiple of 1580 and 2?
1580
Calculate the least common multiple of 120 and 230.
2760
Find the common denominator of -41/12 and -53/74.
444
What is the common denominator of -26/11 and 23/196?
2156
Find the common denominator of 77/96 and 83/72.
288
Calculate the smallest common multiple of 10 and 781.
7810
Calculate the least common multiple of 2 and 9.
18
Calculate the common denominator of -107/20 and -89/758.
7580
What is the common denominator of -25/28 and -3/35?
140
Calculate the common denominator of -35/2 and 21/1438.
1438
What is the common denominator of -36/1093 and -97/4?
4372
What is the common denominator of -49/2 and 41/22?
22
Calculate the least common multiple of 38 and 14.
266
What is the common denominator of -137/12 and 107/360?
360
What is the common denominator of 37/21 and 137/468?
3276
What is the lowest common multiple of 282 and 10?
1410
Find the common denominator of -95/2 and -27/40.
40
What is the common denominator of -5/88 and 95/352?
352
What is the common denominator of 44/97 and -32/679?
679
Calculate the lowest common multiple of 698 and 20.
6980
What is the common denominator of 23/10 and -71/2812?
14060
What is the lowest common multiple of 8 and 922?
3688
What is the least common multiple of 11 and 200?
2200
Find the common denominator of 19/15 and 133/24.
120
Calculate the least common multiple of 240 and 80.
240
What is the lowest common multiple of 798 and 684?
4788
Find the common denominator of 83/21 and -71/75.
525
What is the common denominator of -149/42 and 7/1509?
21126
Find the common denominator of 59/96 and -107/96.
96
Calculate the lowest common multiple of 5505 and 2202.
11010
Find the common denominator of -23/156 and 53/48.
624
What is the common denominator of 67/385 and 10/441?
24255
Calculate the smallest common multiple of 143 and 132.
1716
What is the least common multiple of 286 and 3003?
6006
What is the smallest common multiple of 76 and 57?
228
Find the common denominator of -46/5 and 3/5.
5
What is the smallest common multiple of 48 and 112?
336
Calculate the smallest common multiple of 3 and 614.
1842
Calculate the least common multiple of 435 and 5.
435
Calculate the smallest common multiple of 78 and 927.
24102
Calculate the common denominator of 113/10 and -47/160.
160
Calculate the least common multiple of 16 and 20.
80
Find the common denominator of -97/36 and -109/336.
1008
What is the least common multiple of 16 and 52?
208
What is the least common multiple of 14 and 686?
686
Calculate the least common multiple of 33 and 6.
66
What is the smallest common multiple of 560 and 88?
6160
Calculate the lowest common multiple of 11 and 1.
11
What is the lowest common multiple of 6 and 53?
318
Calculate the common denominator of -39/352 and 9/10.
1760
What is the least common multiple of 135 and 1734?
78030
What is the common denominator of 45/8 and 59/52?
104
What is the least common multiple of 555 and 17205?
17205
Find the common denominator of 13/126 and 117/4816.
43344
What is the smallest common multiple of 32 and 228?
1824
What is the common denominator of -47/768 and 13/72?
2304
What is the common denominator of 145/408 and -161/60?
2040
What is the common denominator of 7/12 and -97/88?
264
Find the common deno | {
"pile_set_name": "DM Mathematics"
} |
5 of a kilometer in meters?
5800
How many litres are there in 228.4309ml?
0.2284309
What is 45040.01 weeks in days?
315280.07
How many millennia are there in 61451.7 centuries?
6145.17
What is 27/5 of a litre in millilitres?
5400
Convert 4.755032 millilitres to litres.
0.004755032
What is 23/8 of a litre in millilitres?
2875
How many micrometers are there in 0.2857534 centimeters?
2857.534
How many kilograms are there in 0.9625292 milligrams?
0.0000009625292
What is 14/9 of a hour in seconds?
5600
How many millilitres are there in 11/10 of a litre?
1100
Convert 5479.278t to kilograms.
5479278
Convert 8.8223 hours to seconds.
31760.28
What is 3.395283 months in centuries?
0.0028294025
How many centimeters are there in nineteen quarters of a meter?
475
How many nanometers are there in 310624.3km?
310624300000000000
Convert 998368.2l to millilitres.
998368200
Convert 26257.8564s to days.
0.303910375
Convert 76.59139 kilometers to micrometers.
76591390000
What is 2/21 of a week in minutes?
960
How many months are there in 312407.1 decades?
37488852
What is 43/4 of a kilogram in grams?
10750
How many seconds are there in fourty-three thirds of a hour?
51600
What is 1/4 of a meter in centimeters?
25
Convert 64962.78 millilitres to litres.
64.96278
How many months are there in 0.8072544 millennia?
9687.0528
How many millilitres are there in 3/25 of a litre?
120
How many millilitres are there in 3/40 of a litre?
75
How many minutes are there in 3.333033 milliseconds?
0.00005555055
How many micrometers are there in 41.18246cm?
411824.6
How many grams are there in 8747.654 micrograms?
0.008747654
How many millilitres are there in 11/2 of a litre?
5500
How many nanograms are there in 1/20 of a milligram?
50000
What is 900182.5 days in minutes?
1296262800
Convert 0.944105 nanograms to milligrams.
0.000000944105
How many years are there in 43/2 of a century?
2150
Convert 1792.624g to micrograms.
1792624000
What is three eighths of a litre in millilitres?
375
How many seconds are there in seven halves of a minute?
210
How many millilitres are there in six fifths of a litre?
1200
How many micrometers are there in 31/5 of a millimeter?
6200
How many months are there in 3/40 of a millennium?
900
How many kilograms are there in 0.3521518 micrograms?
0.0000000003521518
Convert 2829.62 days to microseconds.
244479168000000
Convert 25695.516 months to years.
2141.293
Convert 6.610113 centuries to millennia.
0.6610113
How many centuries are there in three tenths of a millennium?
3
How many grams are there in one twentieth of a tonne?
50000
How many milliseconds are there in 998985.5 microseconds?
998.9855
Convert 59.9801t to kilograms.
59980.1
What is 6484.462 kilometers in meters?
6484462
How many months are there in 5/4 of a year?
15
How many millilitres are there in 6/25 of a litre?
240
How many millilitres are there in twenty-one halves of a litre?
10500
How many decades are there in 222.70722 months?
1.8558935
How many years are there in eleven tenths of a century?
110
Convert 232251.8 litres to millilitres.
232251800
How many litres are there in 0.186467 millilitres?
0.000186467
How many kilograms are there in 26/5 of a tonne?
5200
What is 7268.3 kilometers in micrometers?
7268300000000
Convert 95.80767 kilometers to micrometers.
95807670000
How many months are there in 3/25 of a century?
144
Convert 728456.2 weeks to minutes.
7342838496
How many nanometers are there in 1/10 of a millimeter?
100000
What is 11/8 of a meter in millimeters?
1375
Convert 0.9537205ug to grams.
0.0000009537205
What is one tenth of a tonne in grams?
100000
What is 1.2666519 months in years?
0.105554325
What is one tenth of a milligram in micrograms?
100
How many kilograms are there in 3.651746 grams?
0.003651746
What is 19/10 of a decade in years?
19
What is thirty-one halves of a litre in millilitres?
15500
What is 159226.35ns in minutes?
0.0000026537725
What is 7.82857 hours in microseconds?
28182852000
What is five eighths of a litre in millilitres?
625
What is 52.12669m in kilometers?
0.05212669
What is 11/2 of a week in hours?
924
Convert 923.2131 decades to months.
110785.572
How many micrograms are there in 885.0191 kilograms?
885019100000
How many millilitres are there in 5428.287l?
5428287
How many micrometers are there in 11/10 of a millimeter?
1100
What is three tenths of a kilogram in grams?
300
How many kilograms are there in 12/25 of a tonne?
480
How many micrometers are there in 1/16 of a centimeter?
625
What is 25/2 of a milligram in micrograms?
12500
What is twenty-nine fifths of a century in decades?
58
What is 0.1214653 millilitres in litres?
0.0001214653
How many grams are there in thirty-one halves of a kilogram?
15500
What is 3/25 of a meter in millimeters?
120
Convert 5771.366 centimeters to meters.
57.71366
Convert 8.467905l to millilitres.
8467.905
Convert 833.199 nanograms to micrograms.
0.833199
What is 8/25 of a microgram in nanograms?
320
Convert 531.7645us to milliseconds.
0.5317645
How many months are there in 1/6 of a decade?
20
What is 2/125 of a kilogram in grams?
16
How many meters are there in 3/50 of a kilometer?
60
How many kilograms are there in 27/2 of a tonne?
13500
How many hours are there in three eighths of a day?
9
What is fifty-one quarters of a millennium in decades?
1275
What is 611.38935 nanoseconds in days?
0.000000000007076265625
How many millimeters are there in thirty-three tenths of a centimeter?
33
What is fifty-seven fifths of a century in years?
1140
What is twenty-one fifths of a day in minutes?
6048
What is fifty-one quarters of a gram in milligrams?
12750
What is 15888.51 litres in millilitres?
15888510
What is 6/5 of a tonne in kilograms?
1200
How many centuries are there in eleven halves of a millennium?
55
What is one fifth of a minute in milliseconds?
12000
How many meters are there in nine tenths of a kilometer?
900
Convert 3670.024 years to months.
44040.288
What is fifty-two fifths of a kilometer in meters?
10400
Convert 0.3653598 decades to years.
3.653598
What is fifty-four fifths of a day in minutes?
15552
How many centimeters are there in 0.3563735 meters?
35.63735
How many nanograms are there in 46/5 of a microgram?
9200
How many years are there in 221297.7 millennia?
221297700
How many nanometers are there in seventy-four fifths of a micrometer?
14800
What is 1/20 of a gram in milligrams?
50
How many centimeters are there in 930209.5km?
93020950000
How many decades are there in thirteen fifths of a millennium?
260
How many litres are there in 2063.748ml?
2.063748
Convert 13495.4127 seconds to weeks.
0.02231384375
What is 27/2 of a century in years?
1350
How many microseconds are there in 37/2 of a millisecond?
18500
What is four thirds of a day in hours?
32
How many millilitres are there in 21/4 of a litre?
5250
What is 3/10 of a litre in millilitres?
300
What is four fifteenths of a day in minutes?
384
What is 3/40 of a kilogram in milligrams?
75000
How many grams are there in 8933.21 milligrams?
8.93321
What is 1291.831 years in millennia?
1.291831
How many grams are there in 11/4 of a kilogram?
2750
How many micrograms are there in 0.0833897 milligrams?
83.3897
What is 4550.21154 minutes in weeks?
0.451409875
What is 3/8 of a gram in milligrams?
375
How many micrograms are there in seventy-six fifths of a milligram?
15200
How many kilograms are there in 3/40 of a tonne?
75
What is 28/3 of a week in minutes?
94080
How many milliseconds are there in eleven tenths of a minute?
66000
What is 75/2 of a litre in millilitres?
37500
What is 3/5 of a tonne in kilograms?
600
How many millimeters are there in 7.59499 micrometers?
0.00759499
What is twenty-seven halves of a decade in years?
135
How many years are there in fourty-one halves of a decade?
205
What is 38262.1 decades in years?
382621
What is 62584.91 litres in millilitres?
62584910
What is 1/5 of a century in decades?
2
How many kilometers are there in 0.1265276 micrometers?
0.0000000001265276
What is 12/25 of a minute in milliseconds?
28800
Convert 213568.9l to millilitres.
213568900
What is 5250.702 weeks in microseconds?
3175624569600000
How many seconds are there in 6/5 of a hour?
4320
How many meters are there in 3/25 of a kilometer?
120
How many | {
"pile_set_name": "DM Mathematics"
} |
9/5)
Simplify (h*h*(h/((h**(-4)/h)/h))/h*h)/(h*h**(-1/2))*(h/h**(-2))/(h**(2/21)/h) assuming h is positive.
h**(521/42)
Simplify (y**(2/7)/y**(-3/5))/((y**(-3/8)/y)/y**1) assuming y is positive.
y**(913/280)
Simplify ((d/((d/((d*d*d**2)/d))/d))/(d**(3/10)*d))/(d**(-2/5)*d)**(3/13) assuming d is positive.
d**(333/130)
Simplify u/(((u/(u*u*u/u**(-1)*u))/u)/u)*u**(-1)*(u**(-1))**(-23) assuming u is positive.
u**29
Simplify ((v**(3/7)/v)/(((v*v/(v**(1/10)*v))/v)/v))/(v**(-1/4))**(-2/41) assuming v is positive.
v**(741/1435)
Simplify (g/(g*g**(-1/4))*g)**(-50)*g**(-1/3)*g**(3/5) assuming g is positive.
g**(-1867/30)
Simplify (h/(h*h/(h/h**(-8)))*h*h/(h/(h**(-2/11)*h)))/(h**(2/3)*h**(4/5)) assuming h is positive.
h**(1378/165)
Simplify c**(-2/31)*c/c**(-19) assuming c is positive.
c**(618/31)
Simplify ((m/(m/(m**(1/11)*m)))/m)/(m/m**7)*m**7/(m*m*m*m*(m/m**(-8)*m)/m*m*m) assuming m is positive.
m**(-21/11)
Simplify (t*t/(((t*t/t**(-4))/t)/t))/t*t**3*t assuming t is positive.
t
Simplify (t**0)**(-12)*t*t/(t*t**(1/4)*t)*t*t**5*t assuming t is positive.
t**(27/4)
Simplify t*t*t**(-30)*t*t/(t**(1/5)/t) assuming t is positive.
t**(-126/5)
Simplify (f/(f/(f/(f/(f/(f*f**(2/3))))))*f)/(f**(8/5)*f) assuming f is positive.
f**(-34/15)
Simplify a*a**(-2/19)*a**(1/18) assuming a is positive.
a**(325/342)
Simplify (b**(2/11)*b**(-5/3))**30 assuming b is positive.
b**(-490/11)
Simplify (d/(d**(-2/41)*d))**12 assuming d is positive.
d**(24/41)
Simplify (u**(-3/10))**(1/72) assuming u is positive.
u**(-1/240)
Simplify (x**(-25)/x)/x**(-2/15) assuming x is positive.
x**(-388/15)
Simplify (r/(r/r**(1/4))*(r/(r**6/r))/r)/(r**1)**46 assuming r is positive.
r**(-203/4)
Simplify (v*v*(v/(v/(v/(v**0/v))))/v)**38*(v**(-4)*v)/(v/(v**1*v)) assuming v is positive.
v**112
Simplify ((x/x**1)**(-4))**(-1/4) assuming x is positive.
1
Simplify j**(12/5)/(j**21*j) assuming j is positive.
j**(-98/5)
Simplify (s**3/((s/(s/s**(-2/5)))/s))/((s**(-2/5)*s)/s**(2/5)) assuming s is positive.
s**(21/5)
Simplify ((i/i**(-13))/i)**(-35/6) assuming i is positive.
i**(-455/6)
Simplify (b**(-4)*(b**(-2/7)/b)/b)/(((b*b**(-2/3))/b)/((b*b**1)/b)) assuming b is positive.
b**(-97/21)
Simplify l/((l*l**(-4))/l*l)*l/(l/(l*l**(1/4)/l*l))*l*l*(l*l*l/(l/l**1*l)*l*l)**(40/7) assuming l is positive.
l**(843/28)
Simplify (f/f**7)**30 assuming f is positive.
f**(-180)
Simplify (t*t*t**(-5/8)/t)**(1/13) assuming t is positive.
t**(3/104)
Simplify (z*z/z**2)**49/(z/((z*z**8*z*z)/z*z)*(z*z*z*z/z**(-2)*z)/z*z) assuming z is positive.
z**3
Simplify k**(-1/6)/(k/(k*(k/(k*k/(k**(-3/13)*k)*k)*k)/k*k)*k) assuming k is positive.
k**(-109/78)
Simplify (i**(-1))**(-3/14) assuming i is positive.
i**(3/14)
Simplify f**(-8/7)*f*(f**(4/3)/f)/f*f assuming f is positive.
f**(4/21)
Simplify (((w/w**(4/3)*w)/w)/w)**(16/9) assuming w is positive.
w**(-64/27)
Simplify (n**(1/2)*n**7)**8 assuming n is positive.
n**60
Simplify ((w/w**(-8)*w)/(((w*(w*w*w**(-2/13))/w)/w)/w))/((((w/(w**(6/7)/w)*w)/w)/w*w)/w**1) assuming w is positive.
w**(911/91)
Simplify (u**(-1/34)/u)**36 assuming u is positive.
u**(-630/17)
Simplify ((m**(-2/9))**13)**(-9) assuming m is positive.
m**26
Simplify (i**(-2))**(7/3)*(i/i**2)**(16/5) assuming i is positive.
i**(-118/15)
Simplify ((s*s**(-1/4)*s)/(s/s**(-1/4)))**7 assuming s is positive.
s**(7/2)
Simplify (v**(-10/9)*v)/(v**(12/11)*v) assuming v is positive.
v**(-218/99)
Simplify ((a**(-7)*a)/(a/((a/a**5)/a)*a*a))**(-23/2) assuming a is positive.
a**161
Simplify ((u*u**6)/(u*u**(-2)))**(-2/139) assuming u is positive.
u**(-16/139)
Simplify (x*x/(x*x**(10/3)))/((x*(x*(x**(4/3)*x)/x*x)/x)/x*x) assuming x is positive.
x**(-17/3)
Simplify (h/h**(-26)*h)**19 assuming h is positive.
h**532
Simplify (t*t**32*t)/(t/(t**(-2/83)/t*t)) assuming t is positive.
t**(2737/83)
Simplify (i/i**(3/16))/i**(5/13) assuming i is positive.
i**(89/208)
Simplify s/(s/(s**25*s))*s**4 assuming s is positive.
s**30
Simplify j**5/j**9*(j*j*j/((j/((j**2/j)/j*j))/j))**(4/27) assuming j is positive.
j**(-92/27)
Simplify (l**(17/2)/l)/l*l*l**(-1/5) assuming l is positive.
l**(73/10)
Simplify v**(-2/3)/((v/v**(5/2))/v)*v*v**(-8)*v*v/(v/((v**7/v)/v)) assuming v is positive.
v**(5/6)
Simplify ((u*u/(u**(-2/5)/u))/(((u/(u*(u/(u*u**(-1/11)*u*u*u)*u)/u))/u*u)/u))/((u*u**0)/((u/u**1)/u)) assuming u is positive.
u**(-28/55)
Simplify g/((g/g**1)/g)*g**12 assuming g is positive.
g**14
Simplify ((h*h**(-1/4))/(h*h/((h/h**(-2))/h*h)))/(h**(-2/7))**(7/3) assuming h is positive.
h**(29/12)
Simplify (t*t**(1/3))**(1/6)/(((t**(-2/3)/t)/t)/t)**(-3/4) assuming t is positive.
t**(-91/36)
Simplify ((l**(2/21)/l)/(l**(-6)/l))**(-24) assuming l is positive.
l**(-1024/7)
Simplify (n/(n*n**5*n))/(((n**(6/5)*n)/n)/n) assuming n is positive.
n**(-31/5)
Simplify (h/h**(1/2))/(h/h**(1/2))*((h**(-1)*h*h)/h)**(1/5) assuming h is positive.
1
Simplify (a/((((a/a**21)/a)/a)/a*a*a))/a**(-17/4) assuming a is positive.
a**(105/4)
Simplify (o/(o**(-8)/o*o*o)*o**4/o)**(-10/7) assuming o is positive.
o**(-110/7)
Simplify k*k*k/(k/(k*k/(k*k**(1/2))))*k*k/k**(6/5)*(k/((k**6*k)/k))/k**(-2/9) assuming k is positive.
k**(-133/90)
Simplify (k**(2/7)*k*(k/(k*k**6))/k)/(k**(1/3)*k**(3/4)) assuming k is positive.
k**(-571/84)
Simplify (u**(2/7)/(u*u**(2/5)))/(u**(3/13)/(u/(u/(u**(1/2)/u)))) assuming u is positive.
u**(-1679/910)
Simplify (v**(-1/13)/v**(-6))**(-27) assuming v is positive.
v**(-2079/13)
Simplify l**(-39)/(((l/(l/l**(-9))*l)/l)/l) assuming l is positive.
l**(-29)
Simplify ((t**(-4/7)/t)/t**8)/(t/(t*t/(t*t**(1/2))*t))**(-47) assuming t is positive.
t**(-463/14)
Simplify ((m*m**(1/5))/((m**2/m)/m))/(m/(((((m/(m**(1/4)/m))/m)/m)/m)/m))**(28/9) assuming m is positive.
m**(-401/45)
Simplify (z**(-10)/(z**(2/11)/z))/(((z*z**(4/7))/z*z)/(z/(z*z**(-1/6)*z*z))) assuming z is positive.
z**(-5815/462)
Simplify ((c**(-2))**(-9))**(-30/13) assuming c is positive.
c**(-540/13)
Simplify (x**(-3)/x**(-7))/(x**1*x/x**0*x) assuming x is positive.
x
Simplify (a**(-14)*a)**(-16) assuming a is positive.
a**208
Simplify ((i/i**6*i*i)/i*i*i**7*i*i)**(2/21) assuming i is positive.
i**(4/7)
Simplify (p**(-1))**37*(p**(-2/5))**(-1/6) assuming p is positive.
p**(-554/15)
Simplify (c**(5/7)*c**17)**(32/5) assuming c is positive.
c**(3968/35)
Simplify (q**(1/3))**(-18/5)/((q**(-1/7)/q)/(q*q/q**(3/13))) assuming q is positive.
q**(779/455)
Simplify n**(-8/7)*n**(-3) assuming n is positive.
n**(-29/7)
Simplify u/(u*u**(-2/3)*u*u*u)*u/((u/(u/(((u/u**(-2/3))/u)/u))*u)/u)*u assuming u is positive.
1
Simplify (o**(-1/2))**26*(o/o**(2/5))/o**(-2) assuming o is positive.
o**(-52/5)
Simplify (l**6/l)**(-2/67) assuming l is positive.
l**(-10/67)
Simplify r**(-2/25)/(r*r/(r*(r/(r**(-3)*r))/r*r*r*r))*r**4/((r*r**(1/5))/r) assuming r is positive.
r**(193/25)
Simplify y**12/y**(-14/9) assuming y is positive.
y**(122/9)
Simplify (l**(-2/89)*l)/(l/(((l**16*l)/l)/l)) assuming l is positive.
l**(1333/89)
Simplify (y**(-8)/(y/y**1*y*y))**32 assuming y is positive.
y**(-320)
Simplify (h**15*h)/(h**25/h) assuming h is positive.
h**(-8)
Simplify v**(-2/3)*v**(-5)/v*((v**(1/2)/v)/v)**(1/50) assuming v is positive.
v**(-2009/300)
Simplify (h**0)**(-48) assuming h is positive.
1
Simplify (t**(-8)*t**2*t)/((t*t**(-5/3))/t**(-9)) assuming t is positive.
t**(-40/3)
Simplify (z**(-2/3))**(-18)*((z/z**(-3))/z*z)**(-41) assuming z is positive.
z**(-152)
Simplify (i/(i**(-2/9)/i))/i*i**(4/9)*i*i*(((i/i**(-2))/i*i*i)/i)/i*i**5/i assuming i is positive.
i**(29/3)
Simplify ((((z/((z/(z**6/z))/z))/z)/z)/(z*z**(-3)))/((z/z**(-6/7))/z**5) assuming z is positive.
z**(64/7)
Simplify x*x/(x*(x*x*x**9/x)/x)*x*x/((x/(x/x**(1/30)))/x) assuming x is positive.
x**(-151/30)
Simplify (j/(j*j/j**(-19))*j*j**(1/3))**(-1/12) assuming j is positive.
j**(14/9)
Simplify (t**(-15)*t)/t*t**(-2/43) assuming t is positive.
t**(-647/43)
Simplify (n**(4/5)*n/n**(-4/7))**(-22) assuming n is positive.
n**(-1826/35)
Simplify f**6*f**4*f*(f/((f/(f/(f*f*f**(2/7)*f)))/f))/(f**(-1/10)/f) assuming f is positive.
f**(757/70)
Simplify (l/l**(-3))**(6/5)*(l*l**(-2/5)/l*l)**(-8/9) assuming l is positive.
l**(64/15)
Simplify (z**0)**(2/77)*(z**1)**(-8/9) assuming z is positive.
z**(-8/9)
Simplify (f**(-4)*f)/f*f**(-2)*(f*f*f/(f/(f**(-4/7)/f))*f*f)/f*f*f**(2/5)/f assu | {
"pile_set_name": "DM Mathematics"
} |
7558?
16a5
In base 16, what is 115 - e232?
-e11d
In base 13, what is 106b94 + 53?
106c17
In base 5, what is -3131322 - 42?
-3131414
In base 5, what is 422342130 + -1020?
422341110
In base 7, what is -11651626 - 345?
-11652304
In base 4, what is 11 - -303002023?
303002100
In base 9, what is -1168 + -111878?
-113157
In base 9, what is 657333 + 26?
657360
In base 11, what is -117 + -12925a0?
-1292707
In base 6, what is -411011 + -50000?
-501011
In base 13, what is -1b6 - 399a?
-3b83
In base 2, what is 1011101010000000110101100 - 11?
1011101010000000110101001
In base 15, what is 2 + -4961c?
-4961a
In base 6, what is 123 - 32202225?
-32202102
In base 10, what is -1052 + -1618?
-2670
In base 13, what is 4 + 54a753a?
54a7541
In base 9, what is -21 + -6328032?
-6328053
In base 3, what is 10211020101212 - -11?
10211020102000
In base 14, what is 225a - 7910?
-5694
In base 2, what is -1011101100100111010110011 - -10?
-1011101100100111010110001
In base 11, what is 2293a38 + -4?
2293a34
In base 13, what is -104a005 - 1?
-104a006
In base 8, what is -2 + 5373171?
5373167
In base 13, what is 630 + a48b3?
a5213
In base 13, what is 1812 - -135c?
2b71
In base 11, what is -8464621 - 5?
-8464626
In base 8, what is 1175 - -32276?
33473
In base 11, what is 7 + 6079990?
6079997
In base 3, what is -11011012001 + -21020100?
-11102102101
In base 13, what is -1968878 - 1?
-1968879
In base 10, what is -16906789 - 6?
-16906795
In base 13, what is 3a3a0aa + -20?
3a3a08a
In base 3, what is 122121101021100020 - 1?
122121101021100012
In base 11, what is 5a + 91864?
91913
In base 9, what is 1 + 3744675?
3744676
In base 10, what is 41 + 512282?
512323
In base 7, what is 3 - -51435552?
51435555
In base 10, what is 4 - -840845?
840849
In base 6, what is -343520525 + 4?
-343520521
In base 16, what is -1993e + -142d?
-1ad6b
In base 8, what is -46 - 147661?
-147727
In base 14, what is 399 - -9180c?
91ba7
In base 14, what is 320db2 - -7?
320db9
In base 12, what is 7 - -235459?
235464
In base 5, what is 240221 + 100023?
340244
In base 3, what is 2 - -212001012201002?
212001012201011
In base 4, what is -1033021321 - 312?
-1033022233
In base 3, what is 1 - 100210202012212110?
-100210202012212102
In base 5, what is 1000 + 1203400?
1204400
In base 11, what is 0 + -7265017?
-7265017
In base 16, what is 2 + -4de59a?
-4de598
In base 16, what is -266fdb3 - 5?
-266fdb8
In base 7, what is 0 + 20644220?
20644220
In base 6, what is 5 - -10055302350?
10055302355
In base 11, what is 111 + 3081?
3192
In base 11, what is 2501310 - 0?
2501310
In base 5, what is -2102 - -10002402?
10000300
In base 3, what is -11120120120010 - -222?
-11120120112011
In base 12, what is -2bba03 + 42?
-2bb981
In base 12, what is -8253 + -13715?
-1b968
In base 16, what is 8be1bb - -2?
8be1bd
In base 15, what is -40eb + -374?
-4470
In base 13, what is -64 - 5a941?
-5a9a5
In base 13, what is -3 + 74ac3cb?
74ac3c8
In base 7, what is 1106 + 4653?
6062
In base 12, what is 121 + 62b03b?
62b160
In base 16, what is 21 + d734f?
d7370
In base 8, what is -10304 + -36216?
-46522
In base 15, what is 64 + 336a89?
336aed
In base 13, what is -cba - -516?
-7a4
In base 6, what is 20000041232 - -1?
20000041233
In base 9, what is 0 - -332174167?
332174167
In base 13, what is 16051c5 + -3?
16051c2
In base 2, what is -11011111001100010010 + -100?
-11011111001100010110
In base 3, what is -1111111212002212120 + 1?
-1111111212002212112
In base 7, what is -2001123233 - -5?
-2001123225
In base 6, what is -1114 - 121351?
-122505
In base 8, what is 12775661 + -1?
12775660
In base 7, what is -113341226 - 6?
-113341235
In base 8, what is 2 + 1301747153?
1301747155
In base 6, what is -10 - -23112312030?
23112312020
In base 16, what is -7 - -131f83b?
131f834
In base 10, what is -103423000 + 4?
-103422996
In base 11, what is 4 + -7a91651?
-7a91648
In base 15, what is 44d + 7491?
78de
In base 15, what is -14b63 - 26d?
-14dd1
In base 8, what is 3430 + -5122?
-1472
In base 16, what is 307a - -511?
358b
In base 11, what is 477021 - -921?
477942
In base 14, what is -17 + 7621d?
76206
In base 15, what is 3 + -542830?
-54282c
In base 7, what is -2345 - 211142?
-213520
In base 13, what is -184 - 2764c?
-27803
In base 6, what is -3215344423 + -5?
-3215344432
In base 3, what is -10100021001 + 20111?
-10100000120
In base 16, what is -2 - 9add86?
-9add88
In base 14, what is -5 - -107a451?
107a44a
In base 5, what is -111 - 4201103?
-4201214
In base 9, what is -11323 - 1488?
-12822
In base 14, what is 236c86 - 8?
236c7c
In base 4, what is -23301133220 + 21?
-23301133133
In base 9, what is 453 - 2012404?
-2011841
In base 7, what is -643 - -44406?
43433
In base 16, what is -4015 - -50d5?
10c0
In base 16, what is 1 + -26166f?
-26166e
In base 8, what is -7 + -2721402?
-2721411
In base 14, what is -1502c - -31a?
-14b12
In base 7, what is -1353 + -53104?
-54460
In base 11, what is -598952 + -4?
-598956
In base 9, what is -434825 + 1020?
-433805
In base 5, what is 242 + 1031323123?
1031323420
In base 9, what is -87317243 + -11?
-87317254
In base 4, what is -2020113301 - 0?
-2020113301
In base 7, what is -123263245 + 66?
-123263146
In base 9, what is -6085 - -2548?
-3436
In base 5, what is -1141301024 + 2313?
-1141243211
In base 13, what is -8771 + -10?
-8781
In base 13, what is -4 - -71a0951?
71a094a
In base 8, what is 4 + -52123733?
-52123727
In base 8, what is -3 - -16126542?
16126537
In base 2, what is 11001110011011100 - -1000011?
11001110100011111
In base 12, what is -1 + -127a274?
-127a275
In base 2, what is -1 + 1000101101011010001?
1000101101011010000
In base 7, what is 410020 - -4014?
414034
In base 7, what is 34166053 + 300?
34166353
In base 16, what is 28c - a348?
-a0bc
In base 11, what is 2 - -2161287?
2161289
In base 2, what is 11 - -1011001110111010111111?
1011001110111011000010
In base 12, what is 4882790 - -3?
4882793
In base 8, what is -4 + -11456701?
-11456705
In base 2, what is -10110010101111110110000 - -1011?
-10110010101111110100101
In base 16, what is -9 + 9f9616?
9f960d
In base 6, what is -5145 + 131204?
122015
In base 16, what is 0 + a0669b?
a0669b
In base 2, what is -100101011111011101011 - 111101101?
-100101100000011011000
In base 5, what is -11423310 - 110004?
-12033314
In base 16, what is -14 - 48858?
-4886c
In base 2, what is -101111110011010001 - -1?
-101111110011010000
In base 8, what is -440021 - 462?
-440503
In base 9, what is -843 - 577307?
-578251
In base 2, what is -10100001 - -10011000111101011?
10011000101001010
In base 15, what is -1212 + -e590?
-107a2
In base 3, what is -211210022212001 - 2?
-211210022212010
In base 10, what is -1047 + 2172?
1125
In base 3, what is -10122 - 221102112?
-221120011
In base 9, what is -4 + -321083810?
-321083814
In base 7, what is -3 + -1045324330?
-1045324333
In base 14, what is 1b207 - 49?
1b19c
In base 11, what is -3187600 - -11?
-318759a
In base 6, what is 5215433 + 5?
5215442
In base 8, what is -1177316 - -65?
-1177231
In base 8, what is 106 + 21450?
21556
In base 8, what is 321376 + 105?
321503
In base 16, what is 0 + -2286?
-2286
In base 4, what is -103101221 - 2000?
-103103221
In base 2, what is 10111001010000110 + -111100111?
10111000010011111
In base 4, what is -30313102 + -3?
-30313111
In base 13, what is cc0b - 879?
c362
In base 9, what is 2 + -60561316?
-60561314
In base 12, what is 469811 + 1aa?
4699bb
In base 10, what is -1022 + -16423?
-17445
In base 9, what is 5 - 7251165?
-7251160
In base 9, what is -1370234 + 40?
-1370184
In base 6, what is 2540353 + 215?
2541012
In base 15, what is -461757d - 3?
-4617581
In base 9, what is 77174241 + -1?
77174240
In base 14, what is 16 - -35c2b?
35c43
In base 3, what is 10221 - 111201121022?
-111201110101
In base 4, what is 1011021 - 122103303?
-121032222
In base 8, what is -153 + 1052576?
1052423
In base 13, what is -617 - -5b4b0?
5ab96
In base 10, what is 6498491 - -132?
6498623
In base 11, what is -5 + 876032?
876028
In base 6, what is 1102 - 20554134?
-20553032
In base 8, what is 14036 + -44752?
-30714
In base 10, what is 1300839 - 38?
1300801
In base 3, what is 20 - 1001212100022?
-1001212100002
In base 12, what is -1 + 9300b20?
9300b1b
In base 13, what is 11 - -10b9366?
10b9377
In base 11, what is 76735 + -277?
76469
In base 4, what is 130 + -3 | {
"pile_set_name": "DM Mathematics"
} |
(d) 0
a
Let i be (-3)/(-4 + 100/(-8)). What is the smallest value in i, 0.5, 0.1?
0.1
Let l = -1.6 + 1.56. What is the third biggest value in l, 0, -2/13?
-2/13
Let u = 8.5 - 5.5. Let h = 1 + -2. What is the third biggest value in u, 1/3, h?
h
Let k = -72.5 + 73. What is the third smallest value in -3, -2, 0, k?
0
Let s = -0.04 + 4.04. Let a = -19/117 + 2/39. What is the third smallest value in a, 2/5, s?
s
Let w = -0.33 - 4.67. What is the smallest value in 0, w, -3?
w
Suppose -4*w - h - 11 = -2*h, 0 = w + 3*h - 7. Which is the third smallest value? (a) -10 (b) w (c) -0.2
c
Let d = 1.93 + 0.07. Let o = -0.1 - -0.2. What is the second biggest value in -5, o, d?
o
Let w = -97.8 + 98. What is the second biggest value in 11, 0, w?
w
Let l = 43933/910 + -483/10. Which is the fourth biggest value? (a) l (b) -0.3 (c) 0.2 (d) 1
b
Let p(n) = 3*n**3 + 2*n**2 + 2*n + 1. Let b be p(-1). Let i be (2 + 0)/(((-12)/9)/(-1)). What is the second smallest value in b, i, 2/11?
2/11
Let j be 0 - -2*(-4)/36. What is the smallest value in j, -5, 11/2?
-5
Let d(c) = c**2 - 3*c - 9. Let r be d(5). Suppose 3*q - 4*y - 12 = -r, -y = -2*q + 9. What is the second biggest value in -4, q, 3?
3
Let r = -71 + 71. Which is the biggest value? (a) -0.5 (b) -4/7 (c) r
c
Let a = 179 - 1079/6. Let i(f) be the second derivative of -f**4/12 + 2*f**3/3 - 4*f. Let n be i(5). What is the third smallest value in 1, n, a?
1
Let g = 1.9 + -2. Let u = g + 0. What is the third biggest value in u, 2/7, -1/4?
-1/4
Let m = -0.5 + -0.5. What is the smallest value in m, 1, -1/8?
m
Let j = 0.05 + 0.15. What is the smallest value in j, -1/10, 0.4?
-1/10
Let d = 42 + -53. Which is the second smallest value? (a) 5 (b) d (c) -0.3
c
Let m = -1.27 - 0.13. Let n = m + -0.6. Let q = 0 + 0.1. What is the second smallest value in q, n, -1/3?
-1/3
Let f = 6 - 6.3. Let x = -200 - -198. Which is the third biggest value? (a) f (b) x (c) -1
b
Let r(h) = -42 + 84 - 42 - 5*h. Let g be 2 - 2*1/2. Let s be r(g). Which is the biggest value? (a) 0.1 (b) 2/11 (c) s
b
Let i = -215 + 129. Let k = i - -1976/23. Which is the third biggest value? (a) -1/4 (b) 0 (c) k
a
Let l = -13 + 14. What is the second smallest value in l, -1/4, -3, 0.1?
-1/4
Let v = -1.2 - -1.6. What is the second biggest value in v, -4, -1/8?
-1/8
Let m(y) = y + 16. Let r be m(-17). Which is the second biggest value? (a) -3 (b) r (c) -2/13
b
Let v be (-1)/(-4) + (-225)/(-12). Suppose 0 = 4*g - 4*d + 16, -3*d = 5*g + v + 1. Let p = 0.1 - 0.2. Which is the biggest value? (a) 4 (b) g (c) p
a
Let d(g) = -7*g - 7. Let o be d(-3). Let y be (4/o)/(65/35). Which is the second smallest value? (a) y (b) 0 (c) -4/5
b
Let i = -7.56 + 13.62. Let w = 6 - i. Let q = 0.34 - w. What is the second smallest value in 1/5, 1, q?
q
Let z be 4/24 + (-69)/(-18). Let a = 0.3 - 0.4. What is the second biggest value in a, z, -5?
a
Let d = 0.39 - -1.61. What is the third biggest value in d, 1/4, 0.1, 0.17?
0.17
Let q be -5 - (-18 - 2)/5. What is the smallest value in 3, q, -2/11?
q
Let o be (-12)/10 + (-1 - -2). Let l be (-12)/9*(-18)/(-4). Let t be (-6)/(-36) - 11/l. What is the smallest value in o, 1, t?
o
Let j = 9.9 - 9.6. Let s = -2.2 - -2.31. What is the second biggest value in j, s, -1?
s
Let c = 242 + -154. Let y = c - 92.9. Let b = -0.1 + y. What is the second smallest value in -1, -2/3, b?
-1
Let a = 12 - 7. Let j be -3 + (195/12)/a. Let k = 0.1 - 0.1. What is the biggest value in j, k, -2/17?
j
Let j = 639.544 - 642. Let l = j + 0.446. Let o = 0.01 + l. Which is the third smallest value? (a) -1 (b) 0.4 (c) o
b
Let h(x) = -x**3 + 2*x**2 - 1. Let l be h(2). Let z = l - -6. Let r = z - 17/3. Which is the smallest value? (a) -0.05 (b) 0.2 (c) r
c
Let l = 0.035 - -0.965. Which is the fourth smallest value? (a) 5 (b) l (c) -2/3 (d) 0
a
Let n be 4/16*32/(-20). Which is the second smallest value? (a) -1/2 (b) 4 (c) n
c
Let f = -15.9 - -16. What is the second biggest value in 2/9, f, -8?
f
Let k = 7 - 4. Let u be ((-8)/(-20))/((-18)/10). What is the third biggest value in u, k, 5?
u
Suppose -5*x - 202 = -y + 201, 0 = -4*x - 12. Let h = 7374/19 - y. Which is the third biggest value? (a) -2/3 (b) h (c) 2/15
a
Suppose r - 5*r = -4*n - 88, 2*n = 0. What is the smallest value in 0.4, r, -0.1?
-0.1
Let v = 12 - 11.64. Let y = -0.04 - v. What is the biggest value in y, 3, 5?
5
Let r(t) = -t**3 + 2*t**2 + 3*t + 3. Let z be r(3). Let f = 4 + -5. Let v = f + 3. What is the second biggest value in v, z, -4?
v
Let s = 14 + -26. Let k = -7 - s. Which is the second biggest value? (a) k (b) 3/2 (c) -3
b
Let v = -26 + 40. Let b = v - 10. Let q = -3.8 + b. What is the second biggest value in q, -3/5, -3?
-3/5
Let h = 3.6 + -3.9. Which is the third biggest value? (a) -1/3 (b) h (c) 0.3
a
Let y = -0.8 + 1. Let w be (16/(-6) + 2)/((-13)/(-39)). What is the second smallest value in y, w, -4?
w
Let r = 188.2 + -188. Which is the biggest value? (a) -2/13 (b) -3 (c) r (d) 4/7
d
Let x = -6.94 - -7. Let m = x + -1.06. Let r = 0.03 + -2.03. Which is the third smallest value? (a) r (b) m (c) 1/2
c
Let g = 1.3 - 1.5. What is the third smallest value in 19, g, -4?
19
Suppose -8 = 2*h - 2*u, 2*u - 7 = -0*h + 3*h. What is the third biggest value in h, 2/5, -1/4?
-1/4
Let n = 1.3 + 3.7. Which is the smallest value? (a) -3 (b) -1 (c) -0.4 (d) n
a
Let p = -155/12 + 38/3. Let f(x) = -x**3 + 5*x**2 + 9*x - 8. Let y be f(8). Let t = y + 388/3. What is the smallest value in p, t, -1/3?
-1/3
Let g = -3.3 + 21.3. Let z = -17.6 + g. Which is the third smallest value? (a) z (b) 0.5 (c) -2/11
b
Let o = -10 + -5. Let a = o + 14.7. What is the smallest value in 1, -1, a?
-1
Let h = -1/41 - 31/410. Let b(q) = q - 1. Let n be b(-1). What is the second biggest value in h, n, -0.3?
-0.3
Let f = 59 + -56. What is the second smallest value in 2, 0, f?
2
Let r be ((-2)/6)/((-10)/6). Let z(j) = j**2 + 5*j + 3. Let w be z(-5). Which is the second smallest value? (a) 1/2 (b) r (c) w
a
Let i be (-4)/(-10) - 28/(-5). Let p be i/(-27) + (-64)/(-126). Let a = -1.3 - -1.2. What is the third biggest value in a, p, -1/4?
-1/4
Let i = -8.7 - -9.7. What is the second biggest value in 0, 0.1, -0.1, i?
0.1
Let i be -1*1 - (-6 - (-246)/48). Which is the fourth smallest value? (a) 4 (b) 0 (c) 5 (d) i
c
Let y = 1 - 0.8. Let f = 9 - 5. What is the second smallest value in f, 2, y?
2
Let k = -45 - -45. Which is the smallest value? (a) 3 (b) k (c) 5
b
Let a = 4.34 + -0.34. Let s = 7/12 - 3/4. What is the second smallest value in -4, s, a?
s
Let j(s) = -s**3 + s**2 + s + 4. Suppose 3*k = 7*k. Let b be j(k). Suppose 0*c = -4*c - b. What is the second biggest value in -4, c, 0.3?
c
Let k = 0.03 + 7.97. Let u = 7.8 - k. Which is the second smallest value? (a) -2/9 (b) -1/7 (c) u
c
Let r = -1.9 + 2. What is the second biggest value in r, 0.4, -4?
r
Let m = 3.5 + -3. Let i = -0.05 + 4.05. Let t(g) = -g - 3. Let f be t(-2). What is the second biggest value in i, f, m?
m
Let u = -107 + 961/9. Let t = -1.1 + 0.1. Let p = 38/3 + -13. Which is the third biggest value? (a) p (b) t (c) u
b
Let t = 4.59 - 0.59. Let q = -115/7 - -16. Which is the second biggest value? (a) -1 (b) q (c) t
b
Let u = -1.2 - -6.2. Let m = 17 + -18. What is the second smallest value in 0.1, m, u?
0.1
Let k = 5 - 2. Let w = 0 + -3. Let d = w - 2. Which is the third smallest value? (a) d (b) 2 (c) k
c
Let k(l) = l**3 + 11*l**2 - 5. Let w be k(-11). Let d be w + 7 - (2 - -4). Which is the second smallest value? (a) 4 (b) d (c) -0.2
c
Let q = -8 + 3. Let x = 4 + 0. Let o = -4.2 + x. What is the third smallest value in q, -0.4, o?
o
Let g = 7 + -8. Let w = -0.9 - g. Which is the second smallest value? (a) w (b) 5 (c) -3
a
Let r = 20 - 12. Let s = r + -3. What is the biggest value in s, 2/3, 2/15?
s
Suppose -o = -u - 5, 13*u - 7 = 18*u + 4*o. Let d = 4 - 7. Let v = 2.7 + d. What is the smallest value in u, v, 5?
u
Let t = 0.6 - 2.3. Let b = 1.8 + t. What is the third smallest value in 0.3, b, 3?
3
Suppose d = 117 + 25. Suppose -j + 22 = d. Let s be (-2)/(-6) + 25/j. Which is the second smallest value? (a) s (b) -4 (c) 0.5
a
Let y(w) = -w + 1. Let t be y(-3). Let v = -7 - -5. Let d be 14/t - | {
"pile_set_name": "DM Mathematics"
} |
e 0*n - 5*n + 10 = 0. Let c be y(n). Let z = c + -12. Is z a multiple of 8?
True
Let t be 296/56 - (-2)/(-7). Suppose t*n - 1 = -6. Is 17 a factor of n/2 + (-65)/(-2)?
False
Suppose 4*l + 40 + 4 = -4*a, -47 = 5*l - 3*a. Let v be (-4)/l + 63/5. Suppose 15*b - v*b - 108 = 0. Is 15 a factor of b?
False
Let n = 423 + 277. Is n a multiple of 69?
False
Let x = 33 + -23. Let v(k) = 6*k + 7. Let o(q) = -q**2. Let p(l) = -o(l) - v(l). Does 18 divide p(x)?
False
Let c(v) = -v**3 + 5*v**2 + 5*v + 1. Let f be c(6). Let b = -6 - f. Is -4 + (-19)/b + 1 a multiple of 7?
False
Suppose -w = -7*w + 24. Let x(a) = a**3 - 2*a**2 + 7*a + 8. Is 34 a factor of x(w)?
True
Let y(k) be the third derivative of 7*k**4/12 - 2*k**3/3 + 6*k**2. Does 26 divide y(4)?
True
Let q(t) = -138*t + 1. Let h be q(1). Let a = h + 297. Suppose -5*f = -3*i - 200, f - a = -3*f - i. Is f a multiple of 20?
True
Let n(g) = -5*g - 31. Let o be n(-7). Suppose o*w = f - 52, -3*f - w = -4*w - 129. Is 13 a factor of f?
False
Let b = 519 + 1. Does 26 divide b?
True
Suppose -2*r + r + 1000 = 4*v, -3*v + 2*r + 750 = 0. Is 10 a factor of v?
True
Suppose 420*x - 421*x + 402 = 0. Is 13 a factor of x?
False
Suppose 3*s = 2*l + 238, 0*s + 3*s - 4*l - 230 = 0. Does 6 divide s?
False
Does 37 divide (-3)/((-15)/14)*195/6?
False
Let v = -281 - -1353. Does 55 divide v?
False
Suppose 12 = 18*t - 14*t. Suppose 19 = t*b + 5*v, 2*v + 5 = -2*b + 15. Is 2 a factor of b?
False
Let m = -47 + 52. Let k(z) = 2*z**2 - 4*z + 9. Does 13 divide k(m)?
True
Suppose 4*c - 6520 = 2*a, -3*c + 5*a = -1647 - 3229. Does 17 divide c?
True
Let t = 5 + 50. Let c = t + -42. Is 4 a factor of c?
False
Let k(j) = 37*j**2 + 65*j + 693. Does 72 divide k(-11)?
False
Let r(k) = -1258*k - 55. Does 48 divide r(-2)?
False
Let w(k) be the first derivative of -k**2/2 + 12*k + 8. Let u be w(9). Suppose q + 163 = 2*f - 2*q, 0 = -u*f - 4*q + 236. Is f a multiple of 16?
True
Let k(b) = b. Let h(q) = -q**3 + q. Let i(n) = 3*h(n) - 4*k(n). Suppose -4*d - 2 - 2 = 0. Is i(d) a multiple of 2?
True
Suppose 5*f = 54 + 786. Suppose -j - f = -5*j. Does 14 divide ((-1)/(-1))/(3/j)?
True
Let n(k) = k**3 - 12*k**2 + 12*k - 7. Let o be n(11). Suppose -9 - 7 = o*l. Does 11 divide (-6)/l - 214/(-4)?
True
Let h(l) = l + 26. Let j(o) = -o**3 - 15*o**2 - 13*o + 4. Let t be j(-14). Is 8 a factor of h(t)?
True
Let a = 3 + 1. Suppose 345 = -o + a*o. Is o a multiple of 20?
False
Suppose p = 2*a + 134, 2*a + 48 + 86 = -p. Let i be 0 + (-1 - -54)*3. Let z = a + i. Does 23 divide z?
True
Suppose -1 = -2*b - 3*a + 72, -3*a = -5*b + 172. Let q = 50 - b. Let v = q + 10. Is v a multiple of 5?
True
Is ((-1008)/(-40))/(9/120) a multiple of 42?
True
Suppose -3*u + 6227 = 1103. Does 61 divide u?
True
Let v be (9 - 1)*8/16. Suppose -2*l + 7*l = 2*s + 135, -4*l + 96 = -v*s. Is l a multiple of 6?
False
Suppose m = -4*k + 6*m - 13, -3*k + 5*m = 16. Suppose -k*i + 5*b = -22, 5*b + 18 = -0*i + 2*i. Suppose 0 = -0*d - i*d + 44. Is d a multiple of 6?
False
Suppose 2*c - 3*g = -6*g + 947, -5*c = g - 2348. Is c a multiple of 7?
True
Let m = -3 + -13. Suppose 5*g - 5*h = 0, -5*g - 2*h - 33 = -5. Is 16 a factor of (35/g)/(4/m)?
False
Let m = 709 - 756. Let j(g) = 2*g**3 + 2*g**2 - 2*g + 2. Let n be j(-3). Let l = n - m. Does 19 divide l?
True
Let f be (((-1472)/(-20))/(-8))/((-4)/10). Suppose -2*c = -c - f. Does 10 divide c?
False
Suppose -12 - 38 = -5*t. Suppose -2*l + 5*p = 4, 3*l - p - t + 3 = 0. Let y = l - -9. Is y a multiple of 5?
False
Let a = -52 + -75. Let j = a + 179. Is 9 a factor of j?
False
Let r be (-3 + 0)/3 + 1. Suppose r = -7*b + 3*b. Suppose -5*x - i - 3*i + 59 = b, x = -2*i + 7. Is x a multiple of 5?
True
Let z = 16 + -13. Suppose -5*d - 10 = 4*i - 97, 4*d - z*i - 51 = 0. Is 3 a factor of d?
True
Suppose 7*g = 2*g + 20, -3*c = -4*g + 22. Let m(r) = -13*r - 5*r - 31*r - 5*r. Does 34 divide m(c)?
False
Let u(s) = 5*s + 266. Does 9 divide u(35)?
True
Let s = 119 - 117. Suppose 3465 = s*l + 13*l. Is l a multiple of 60?
False
Let n = 1703 - 1114. Does 35 divide n?
False
Suppose 17116 - 1870 = 33*u. Is 22 a factor of u?
True
Is 78/13 - (-1 - 205 - -2) a multiple of 21?
True
Suppose 41 = -5*n + 51. Suppose -4*x = -5*j + 152, -n*j + 5*x = -22 - 49. Is 14 a factor of j?
True
Suppose 255 = 33*g - 801. Is g a multiple of 4?
True
Let w(c) = 16*c + 2. Let v be w(5). Let s = -66 + v. Is s a multiple of 3?
False
Suppose -f - 5*c + 74 = 0, -f + 0*f = 3*c - 78. Let h(r) = 4*r**3 + r**2 + r - 1. Let p be h(1). Suppose f = -p*i + 354. Is 27 a factor of i?
True
Let d(q) = -515*q - 14. Does 11 divide d(-1)?
False
Let l(b) = -b**3 + 7*b**2 - 9*b + 2. Let w be l(6). Let p = -103 - -130. Let f = p + w. Is 11 a factor of f?
True
Let f be (-5564)/(-14) + 24/(-56). Suppose 57 = -4*x - 2*v + f, 2*v - 166 = -2*x. Is 29 a factor of x?
True
Let j(d) = -d**2 + 41*d + 373. Does 10 divide j(46)?
False
Let f(i) = -i**2 + 45*i - 365. Is 2 a factor of f(11)?
False
Suppose 0 = 14*d - 17*d + 1188. Is 11 a factor of d?
True
Let o(m) = m + 6*m + 2*m - 8*m + 19. Let w(f) = f**3 - 6*f**2 - f + 6. Let d be w(6). Does 11 divide o(d)?
False
Let z(g) = 3*g**3 + 3*g**2 + 3*g. Let r(q) = q**3 + q**2 + q. Let k(b) = -17*r(b) + 6*z(b). Let y be k(-2). Is 25 a factor of (-594)/(-21) + y/21?
False
Let t(f) = f**3 - f**2. Let a be t(1). Suppose -u - 2*u = a. Suppose u = -4*k + 5*s + 7, -5*k - 2*s - 1 = -18. Does 2 divide k?
False
Suppose -9*b - 2472 = -11*b. Is b a multiple of 40?
False
Let d(a) = -12*a + 48. Is d(-16) a multiple of 12?
True
Let u(w) = 2. Let o(d) = 1. Let l(n) = 5*o(n) - 2*u(n). Let t(g) = -12*g**2 + g - 1. Let m(f) = -2*l(f) - t(f). Is 12 a factor of m(2)?
False
Suppose 3*h = -l + 392, 5*h + 1483 = -l + 5*l. Is l a multiple of 20?
False
Suppose -3 - 13 = 4*c, 0 = -r + 3*c - 76. Let a be (-1)/4 + 1354/8. Let o = r + a. Does 14 divide o?
False
Suppose 3*p - 22 = -10. Suppose 4*j = p*q - 752, -3*j = 2*q - 4*q + 373. Does 13 divide q?
False
Suppose -15*y - 112 = -19*y. Suppose 196 = r + y. Is 42 a factor of r?
True
Let f = 434 - 308. Suppose -5*v + 276 + 300 = -2*n, v + 5*n - f = 0. Is 29 a factor of v?
True
Let t = 6 - -26. Let d(x) = -x**2 + 2*x - 2. Let z be d(3). Let a = z + t. Is a a multiple of 9?
True
Let s = -23 + 28. Suppose s*v + 2*m = 480, -17 - 79 = -v - 3*m. Is 25 a factor of v?
False
Let y(f) = -5*f**3 + 3*f**3 + 8 + f**3 - f - 7*f**2. Let c be 96/(-14) + 3/(-21). Is y(c) a multiple of 5?
True
Suppose -3 = 3*s + 6. Let r(q) = q**3 + 3*q**2 - q - 4. Let j be r(s). Let a(n) = -10*n**3 - n**2 - n. Is a(j) a multiple of 10?
True
Suppose -4*q = -5*t - 0*t - 104, 5*t + 3*q = -132. Let j = -10 - t. Is 1 + (j - 3) + -1 a multiple of 11?
True
Suppose -3*h + 2*o + 12 = 0, -4*o = 2*h - h - 18. Suppose -4*x - 5*s + 235 = 0, -2*s = -3*x - h*s + 176. Is 10 a factor of x?
True
Suppose -5*t = 2*v - 481, 4*t + 228 = 2*v - 280. Is 3 a factor of v?
False
Let t = 85 - 87. Is (t - (-3)/12)*-40 + -3 a multiple of 44?
False
Suppose -4*n = -4*w, -n - 28 = -6*n - 2*w. Suppose 3*c = 10 - n. Suppose 4*z - 2*t - 136 = 0, -z + 4*t = c*t - 31. Is z a multiple of 6?
False
Let l(y) = -1626*y + 6. Let f be l(2). Is 12 a factor of f/27*-1 - 2/9?
True
Let c(x) = -x**3 - 10*x**2 - 12*x - 21. Let b be c(-9). Suppose 0 = 5*i - 6 - 4. Is 4 a factor of b/(-12) + 29/i?
False
Suppose 0 = 4*a - 10 - 6. Suppose -h = -5*h + 16. Suppose -h*t = v + a*v - 317, -5*t + 370 = v. Is t a multiple of 17?
False
Let j = 45 - 1. Is 20 a factor of ((-34)/1)/(j/(-198))?
False
Let o = 45 + -39. Suppose 2*n - 102 + o = 0. Does 6 divide n?
True
Let q be 158/(-6) - (-16)/48. Let f = 41 + q. Does 5 divide f?
True
Suppose -2*k = -7*k - 3*j - 422, -3*j - 94 = k. Let f = k - -86. Does 3 divide f?
False
Suppose -w + 1 = 0, 0*d - 4*w = 3*d - 19. Is (-2)/d + (-102)/(-5) a multiple of 7?
False
Let k(h) be the third derivative of -4*h**4/3 + 3*h**3/2 + 39*h**2. Is 7 a factor of k(-3)?
True
Let l(x) = -x**3 + 7*x**2 - 7*x + 8. Let y be l(6). Suppose y*o - 51 = 49. Is o a multiple of 10?
True
Is (741/95)/(3/195) a multiple of 39?
True
Suppose 3*l = -4*r - 49, -4*r = 8 + 8. Let a be -2*(114/(-4))/3. Let i = l + a. Is 2 a factor of i?
True
Let j be (-2)/9 - (-636)/(-54). Let r be j/28 - (-120)/(-14). Let f = 31 + r. Does 14 divide f?
False
Suppose -76 + 1654 = 6*n. Doe | {
"pile_set_name": "DM Mathematics"
} |
and 1 z when two letters picked without replacement from {v: 1, u: 1, z: 1, m: 1, h: 2, c: 1}?
1/21
Calculate prob of picking 1 d, 1 p, and 1 o when three letters picked without replacement from oooptotoptoodt.
1/26
Two letters picked without replacement from {p: 1, i: 9, m: 9}. Give prob of picking 1 p and 1 i.
1/19
Two letters picked without replacement from rqjdd. Give prob of picking 1 r and 1 d.
1/5
Two letters picked without replacement from nnsggkssk. What is prob of picking 1 n and 1 k?
1/9
Two letters picked without replacement from zzgggngszngnngnnnn. Give prob of picking 2 g.
5/51
What is prob of picking 2 g when two letters picked without replacement from occccggclccg?
1/22
What is prob of picking 1 b, 1 a, and 1 v when three letters picked without replacement from vauaaabaauauuabxuu?
1/51
Two letters picked without replacement from wtatastjsaawakaas. Give prob of picking 1 s and 1 t.
9/136
Calculate prob of picking 2 w when two letters picked without replacement from {u: 17, w: 2}.
1/171
Three letters picked without replacement from qqqzqqqqqqzqqzzqqzqv. What is prob of picking 2 q and 1 v?
91/1140
Two letters picked without replacement from yzyzzyyy. What is prob of picking 1 y and 1 z?
15/28
What is prob of picking 1 v, 2 i, and 1 o when four letters picked without replacement from iooovovooooioovooooo?
3/323
Calculate prob of picking 1 r and 1 f when two letters picked without replacement from vfvr.
1/6
Four letters picked without replacement from qzmqggggzgmggqziggzq. Give prob of picking 2 z and 2 q.
12/1615
What is prob of picking 2 e when two letters picked without replacement from {f: 3, e: 4}?
2/7
Calculate prob of picking 3 u when three letters picked without replacement from utuutttttttt.
1/220
Calculate prob of picking 1 x and 1 u when two letters picked without replacement from {u: 2, x: 8}.
16/45
Four letters picked without replacement from kfxfffzxxkxfxuzzrkf. Give prob of picking 1 x, 2 f, and 1 r.
25/1292
Three letters picked without replacement from {z: 3, o: 1}. What is prob of picking 1 o and 2 z?
3/4
Four letters picked without replacement from {v: 14, w: 4}. Give prob of picking 3 w and 1 v.
14/765
What is prob of picking 4 s when four letters picked without replacement from {p: 6, s: 4}?
1/210
Two letters picked without replacement from ufefjyff. Give prob of picking 1 y and 1 e.
1/28
Two letters picked without replacement from copss. Give prob of picking 1 o and 1 c.
1/10
Four letters picked without replacement from nuuqueunnnuqqxo. Give prob of picking 2 q, 1 x, and 1 e.
1/455
Four letters picked without replacement from {f: 1, g: 5, h: 14}. Give prob of picking 1 f, 2 h, and 1 g.
91/969
What is prob of picking 1 g and 2 x when three letters picked without replacement from xyqjgxxxjxjjgjxqg?
9/136
Calculate prob of picking 2 a and 1 l when three letters picked without replacement from allaaaallaaaaaaaal.
65/136
What is prob of picking 1 q and 1 x when two letters picked without replacement from hcxcxccccqcnqc?
4/91
Two letters picked without replacement from {l: 9, g: 5}. Give prob of picking 1 l and 1 g.
45/91
Three letters picked without replacement from uufffffffufffuuffa. Give prob of picking 1 a and 2 u.
5/408
Calculate prob of picking 1 a, 1 t, 1 r, and 1 b when four letters picked without replacement from {a: 4, y: 3, u: 2, b: 3, r: 6, t: 1}.
6/323
What is prob of picking 1 o and 2 p when three letters picked without replacement from hollphphlphollhlpll?
4/323
What is prob of picking 1 k, 1 q, and 2 v when four letters picked without replacement from {k: 6, q: 1, n: 4, v: 4}?
12/455
Calculate prob of picking 2 k when two letters picked without replacement from {v: 1, z: 5, l: 5, k: 4, x: 4}.
2/57
Two letters picked without replacement from {m: 1, g: 2, s: 1, i: 2}. What is prob of picking 1 g and 1 i?
4/15
Calculate prob of picking 2 w and 1 v when three letters picked without replacement from pvvpvwppmvwwwwpw.
3/28
What is prob of picking 1 h, 1 v, and 2 q when four letters picked without replacement from {q: 4, v: 4, h: 8}?
48/455
Two letters picked without replacement from {w: 1, h: 1, e: 1}. What is prob of picking 1 h and 1 w?
1/3
Three letters picked without replacement from {g: 2, m: 2, t: 1, y: 14}. Give prob of picking 3 t.
0
What is prob of picking 3 l and 1 z when four letters picked without replacement from {d: 5, z: 2, k: 2, l: 3}?
2/495
What is prob of picking 2 w and 2 g when four letters picked without replacement from {g: 9, w: 8, c: 2, k: 1}?
336/1615
Two letters picked without replacement from ykd. What is prob of picking 1 d and 1 y?
1/3
Calculate prob of picking 3 u when three letters picked without replacement from auua.
0
Three letters picked without replacement from {s: 5, f: 15}. What is prob of picking 2 f and 1 s?
35/76
Three letters picked without replacement from {y: 6, k: 6}. What is prob of picking 1 k and 2 y?
9/22
Two letters picked without replacement from mfmmdmfcm. What is prob of picking 1 d and 1 m?
5/36
Three letters picked without replacement from {m: 2, u: 7, k: 2, f: 4, t: 1}. What is prob of picking 3 u?
1/16
Three letters picked without replacement from xxxxssssssxx. Give prob of picking 3 x.
1/11
What is prob of picking 4 g when four letters picked without replacement from gffggfffbffffggfff?
1/612
What is prob of picking 1 d and 2 o when three letters picked without replacement from {o: 2, x: 3, d: 12}?
3/170
Three letters picked without replacement from {w: 1, z: 11, s: 2, n: 2}. Give prob of picking 1 z and 2 n.
11/560
Calculate prob of picking 1 k and 2 u when three letters picked without replacement from yykukkkuuk.
1/8
What is prob of picking 1 f, 1 p, and 1 a when three letters picked without replacement from fatmrmrfpttmfpmtrmtm?
1/190
Calculate prob of picking 4 c when four letters picked without replacement from {j: 1, c: 9, l: 1}.
21/55
Calculate prob of picking 3 l when three letters picked without replacement from lllccgccg.
1/84
What is prob of picking 3 j and 1 p when four letters picked without replacement from {o: 2, f: 1, p: 1, g: 1, u: 1, j: 1}?
0
Two letters picked without replacement from xzzzzoozyoywbowoxwox. What is prob of picking 1 z and 1 b?
1/38
Calculate prob of picking 3 o and 1 i when four letters picked without replacement from xxoffxxooiiifoi.
16/1365
Calculate prob of picking 1 w and 1 e when two letters picked without replacement from eww.
2/3
What is prob of picking 2 j, 1 s, and 1 f when four letters picked without replacement from wsfjssjjjjjf?
2/11
What is prob of picking 4 w when four letters picked without replacement from {w: 8, x: 2}?
1/3
Two letters picked without replacement from {j: 16, a: 3, o: 1}. What is prob of picking 2 a?
3/190
Three letters picked without replacement from jjj. Give prob of picking 3 j.
1
Two letters picked without replacement from {l: 4, p: 4, b: 3, o: 3}. Give prob of picking 1 o and 1 l.
12/91
What is prob of picking 2 k when two letters picked without replacement from {m: 1, k: 7, y: 2, e: 2}?
7/22
What is prob of picking 2 s when two letters picked without replacement from sss?
1
What is prob of picking 2 k and 1 f when three letters picked without replacement from kfffkkfkfmkkk?
105/286
Four letters picked without replacement from {b: 1, f: 2, p: 2, w: 7}. Give prob of picking 1 w, 2 p, and 1 b.
7/495
What is prob of picking 1 g and 2 o when three letters picked without replacement from {k: 3, q: 6, g: 4, o: 3, u: 1, w: 1}?
1/68
Two letters picked without replacement from {s: 9, g: 3}. What is prob of picking 2 g?
1/22
Three letters picked without replacement from {y: 6, b: 6}. What is prob of picking 3 y?
1/11
Two letters picked without replacement from vdwwdvvvv. What is prob of picking 1 w and 1 v?
5/18
What is prob of picking 1 q, 1 r, and 1 z when three letters picked without replacement from qqqgqbqgzrqg?
3/110
Calculate prob of picking 3 s when three letters picked without replacement from spsspssss.
5/12
Two letters picked without replacement from ffbwabffcfcabffbca. What is prob of picking 1 a and 1 b?
4/51
Two letters picked without replacement from {y: 2, m: 6, h: 5, p: 3, t: 2}. Give prob of picking 2 h.
10/153
Two letters picked without replacement from {p: 1, w: 2 | {
"pile_set_name": "DM Mathematics"
} |
z = u + 30. Solve -5*o + 28 = -3*b + b, -o + 2*b + z = 0 for o.
4
Let c(g) = -2*g + 1. Let a be c(6). Let k = -5 - a. Suppose 5*x + 3*b - 11 = 0, -4*x - 4*b = -k*b - 22. Solve 0 = -3*m - 5*t - 8, -3*m + x*t + 32 = -t for m.
4
Let d = -255 + 257. Solve -4*p - 3*b = -d*b - 19, -4*b + 32 = 5*p for p.
4
Let h = 119 + -114. Solve 3*o = -h*d - 4 - 5, 3*d + 9 = -3*o for o.
-3
Let z be 2/(-4) - 26/(-4). Let o = -38 - -85. Let f = o - 43. Solve l = 3*i - 11, -i - f*l = -2 - z for i.
4
Suppose u = 2*l - 3*l + 25, 0 = l + 3*u - 25. Let s = l - 25. Solve -3*v = -r - 5*v + 12, -r - 3*v + 16 = s for r.
4
Suppose 3 - 13 = -s. Solve -17*q = -12*q + s, 1 = -h - q for h.
1
Suppose 31*b = 34*b - 9. Suppose -4*c - 8 = -9*c - 3*t, -5*t - 32 = -b*c. Solve 0 = f + 2, -2*s = 2*f - c for s.
4
Let r be 1/4 + (-1)/4. Let z = -54 - -39. Let s = z + 17. Solve -s*i - i + 6 = 3*m, r = 2*i - 6 for m.
-1
Let i(q) = -q**3 - 5*q**2 - 6*q - 4. Let o be i(-4). Solve 4*y + 2*r = -2*r + 8, 0 = -y + 5*r - o for y.
1
Suppose 0 = 2*z - 5*t + 17, -t - 1 = -6. Suppose -5*g = -2*l - 8, 3*l = g + z*g - 12. Solve -q + m - 3 = 0, -5*m + 15 = -4*q - g*m for q.
0
Let h(q) be the second derivative of -q**4/12 - 5*q**3/3 - 21*q**2/2 - 6*q. Let u be h(-6). Solve 4*n + 3*s - 8 = 2*s, -u*n = -s + 1 for n.
1
Let x = -70 - -90. Solve 4*u = 3*z + 7 + 5, 0 = u + 5*z + x for u.
0
Suppose -2*p - j + 4 = 0, 0 = -p + 2*j - 0*j + 12. Solve 0 = -3*q - 3*c - 3, -5*q + p*c = -0*c + 23 for q.
-3
Suppose -3*b = 19 + 173. Let x = -62 - b. Solve p = -3*i + 9, -4*p - i + 1 + x = 0 for p.
0
Suppose -2*h = n + 2*n - 19, 0 = -3*h + 5*n. Let z(o) = o**3 + 2*o**2 + o + 4. Let j be z(0). Solve -4*d + 4*g = j, 0*d + 3*g = h*d - 3 for d.
3
Let q(j) = j + 9. Let c be q(0). Let p be (-6)/c + (-2 - (-17)/3). Solve 4*f - p*d + 7 = 29, 4*f + d - 14 = 0 for f.
4
Suppose -6*m = m - 476. Solve 4*g + 10 = -2*w, -4*w + m = -5*g + 23 for w.
5
Let x(p) = -p**3 + 4*p - 6. Let a be x(-3). Solve 3*j + 10 = -a*h + 14*h, 0 = -5*j + h - 2 for j.
0
Let c be 82/(-10) - (3 + (-66)/30). Let l(q) = -q**3 - 11*q**2 - 19*q - 4. Let m be l(c). Solve 4*k - 20 = -m*i, -3*i - 2*k = -6*i - 10 for i.
0
Suppose -4*f + 5*f - j = 35, -5*j + 23 = f. Let g = -31 - -4. Let c = g - -29. Solve -3*k = -c*o - 9, -3 + f = 3*k + 5*o for k.
5
Let v be 6/9*18/4. Solve -v*r = 2*q + 2, 2*q + 2*r - 14 = 7*r for q.
2
Let y = -626 - -628. Solve -2*j = 0, y*k = -j - 2*j - 10 for k.
-5
Let a be 2/(-1) + (-4)/(-1). Let s be (-6)/15 + (-48)/(-120). Suppose -a*b - 2*b + 20 = s. Solve -w = 5*i + 5, -5*i - 5 = 2*w + b for i.
0
Suppose 994 = 6*p + 976. Solve n = 4*m + 12, 0 = 5*m + p*n - 2 for m.
-2
Suppose 4*c + 5*u = 2*c - 11, u = -3. Suppose 5*j - 16 = -0*y + c*y, -y - 9 = -3*j. Solve -3*q = -5*f + j*f, 2*q + 30 = -4*f for f.
-5
Let x be 6/(-9)*-3 - -1. Suppose -3*b + x = 0, b + b - 42 = 2*h. Let c be 8/h - (-4)/10. Solve r + c = -2, 5*n - r = 7 for n.
1
Let q(d) = d**3 - d**2 + 9. Let v be q(2). Solve 2*g - 20 = -4*a, -a - g + v = 2*a for a.
3
Let f be 28/(-3)*(-102)/68. Solve 3*b + f = 4*z, -b - 14 = -5*z + 9 for z.
5
Let g(d) = 6*d - 26*d + d**2 + 0*d - 18. Let a be g(21). Solve 0 = o + o - 2, 0 = a*z - 5*o - 1 for z.
2
Let c = 812 + -811. Solve g = -3*u - 2, c = -4*u + 4*g - 7 for u.
-1
Suppose 3*l + 20 = 4*l. Let c = 6 - l. Let k = -9 - c. Solve -k*r + 2*r - 24 = -3*i, -2*i + 4*r + 22 = 0 for i.
5
Let i(h) = 2*h**2 - 6. Let o be i(3). Let g be 15/2*o/5. Solve -2*f = -3*a + 15, -f + 2*a = -3*a + g for f.
-3
Let d(f) = 16 + 7*f**3 - 3*f**3 - 3*f**3 + 10*f - 5*f**2 - 3*f**2. Let b be d(6). Solve 5*o + i = -29, -b*o + 2*o - 30 = 5*i for o.
-5
Let s = 9 + -8. Let g be (2 + s + 0)/1. Let k be 8/2 - (-8 - -10). Solve 4*n + 6*j - 2*j + 20 = 0, g*n + k*j = -11 for n.
-1
Let z be (-4)/(2/(-4)*4). Suppose -8*d = -9*d + z. Solve -i - 2*i = y - 10, -3*y + 5*i + d = 0 for y.
4
Suppose -28 = -4*t + 3*c + 3, 4*t - 41 = 5*c. Solve y - f = -2*y + 19, 0 = -t*y - 5*f for y.
5
Suppose -69 = -2*g - 2*n - 55, 2*g + n = 10. Solve -20 = -2*r + 5*s - 16, s = g*r - 6 for r.
2
Suppose -31*c = 7*c - 76. Solve c*b = 7*b + 5*w + 20, 0 = -3*b - 5*w - 18 for b.
-1
Let x(d) = -83*d + 1081. Let n be x(13). Solve -5*u - 15 = -2*p, -2*p - 1 - n = u for p.
0
Suppose 22*q = 65*q - 215. Solve -q*h + 4*x - 5 = 10, -x = -3*h - 2 for h.
1
Let c = 502 + -350. Let p = -278 + c. Let z be 15/(-25) + p/(-10). Solve 0 = 4*y + 4*a - z, 2*y + 2 = 5*y - 4*a for y.
2
Let y = 105 - 79. Solve 5*n = 15, -8*x = -3*x + 2*n - y for x.
4
Let w(n) = -n**3 - 13*n**2 + 12*n - 16. Let y be w(-14). Let s be 1/(1 - y/15). Solve -5*a + 0 - 1 = -3*g, -s*g = -10 for a.
1
Let u be 3*((-2)/(-6))/(8/24). Solve -d + 30 = 2*k - 7*k, 0 = -u*k + 5*d - 40 for k.
-5
Let d(z) = 6*z + 16 - 16*z - 3*z + z**2. Let h be d(12). Solve -4*a + 5*m + 17 = -a, 17 = -a - h*m for a.
-1
Let g be 2/((-12)/(-3))*22. Suppose -g = -4*j + 9. Suppose -f = -4*n + 1, -4*n - f + 4 = j. Solve n = -v + 4*o - 0 - 5, -2*v - 2*o = 0 for v.
-1
Let z(j) = 4*j + 125 + 121 - 381 + 128. Let m be z(2). Suppose 5 = -5*x, 0 = 2*f - 3*f - 2*x. Solve 2*p - f*t = -13 + m, 4*t = -3*p + 10 for p.
-2
Let l be ((-6)/10)/(1/(-5)). Suppose l*c = 5*u + 8*c - 80, -3*u + 3*c = -36. Solve -5*g = -2*f - 0*f - 21, 2*f + 2*g - u = 0 for f.
2
Let k(t) = 14*t**2 - 38*t + 4. Let w be k(3). Solve -16 + 5 = 3*i - 2*o, -4*o = -w for i.
-1
Let n be -3*(6/2 - 2). Let y(c) = -5*c**2 + 5*c + 4. Let a be y(n). Let s be a/12*(-24)/28. Solve -5*k + 17 = 3*f, 5*f = -3*k + s*k + 19 for k.
1
Let i = 47 + -27. Suppose 0 = 4*l - 64 + i. Let k = l + -11. Solve -2*z - 4 = k, z - 3 = w + 3*z for w.
1
Let c(z) = -z**2 - 21*z + 107. Let d be c(4). Solve 4*b - 8*b + d = 5*k, 3*k - 1 = -4*b for k.
3
Suppose 6*k - 8 = 4*k + 4*z, 3*z - 8 = -2*k. Solve l = -l - 5*f - 29, -k*f = 20 for l.
-2
Let z be 8/(-2)*1/(-2). Let l(y) = 2*y**3 - y**2 + 2. Let o be l(-1). Let u be (-3 - o)*(-36)/24 - -10. Solve 5*d + 2 = -z*t - 9, -5*d = t + u for t.
2
Let s be (-66)/231 - (-88)/14. Let y be -5*(196/35 - s). Suppose 0 = -m - 0 + 3. Solve 2*d - m*z - 2*z = -16, -12 = y*d - 3*z for d.
-3
Suppose 6*j + 6 = 7*j. Let s = -4 + j. Solve s*k - 3 = 3*k, k + 6 = n for n.
3
Let c(f) = 5 + 8 - 20 - 2*f. Let h be c(-13). Solve -2*s - 5*y + 3 = 0, 0*y = 5*s + y - h for s.
4
Let g = -78 + 36. Let z = g - -44. Solve -2*a - t - 26 = 4*t, 0 = 2*a + z*t + 14 for a.
-3
Suppose u = -3*u + 8. Solve l - 5*m + u = 11, -l = 2*m - 2 for l.
4
Suppose 29*n = 16 + 71. Solve -3 - n = m - 2*k, -3*m + k = -2 for m.
2
Let m be 9 - (-2 + 3 - -1). Let g(t) = -3*t + 9. Let n be g(3). Solve q - 5*r = 0, n = -2*q + 2*r + r + m for q.
5
Suppose -5 + 26 = 3*u. Suppose -32 = 3*c - u*c. Solve 2*h - 16 = 4*q, -4*h = q + 3*q - c for q.
-2
Let v(c) = -7 - 2*c + c - 2 + 2*c. Let w be v(5). Let d be w/(8/(-6))*1. Solve 0*g = d*g - 12, 2*u = 3*g - 2 for u.
5
Suppose -6*x = -5*x + 2*x. Let a = 0 + x. Solve 3 = 3*b - 3*w, b + 4*b - 3*w + 3 = a for b.
-3
Let c = 45 + -36. Suppose -11 = -2*u + 2*i + 3*i, -2*u = -3*i - c. Solve -3*o - 5*f + 29 = 0, -u*o - 3*f + 7 = -14 for o.
3
Suppose 0*v = 3*v - 135. Suppose 10*z = 9*z - v. Let i be z/(-27) + 1/3. Solve 0 = -4*g + i*q - 14, 4*g = g - 5*q - 17 for g.
-4
Let y be (-9 - -4) + 11 - -5. Suppose -y*h = -37 + 4. Solve -h*r + z = 4, 3*r + 1 = 4*z + 3 for r.
-2
Let z = 15 + -6. Let m = z + -6. Solve 2*f + a = -10, m*f - 5*a + 0*a = -15 for f.
-5
Let a be 0/2 - (-211 + 193). Solve t + 6 = o, 0*o + 2*o = -4*t - a for t.
-5
Let w = 335 + -335. Solve 2*p = 4*q + 4*p, -5*p = w for q.
0
Suppose d + 0 = -13. Let q = d - -17. Solve -3*l - 18 = 3*a, -q*l - 1 = 19 for a.
-1
Suppose -5*k + c + 0*c + 135 = 0, k + 4*c = 6. Solve f - 2*v + 0 = -6, 3*f - k = -5*v for f.
2
Let a be (-17)/(-1) - (4 - 1). Let q = 16 - a. Solve -3*h + 5*s + 2 = 0, q = -5*h - s - 4 for h.
-1
Let i = 851 - 849. Solve 0 = 2*t - 4*h + 22, -2*t - 3*h - i = -2*h for t.
-3
Let z be 0 - (-5 - 8/(-4)). Suppose -z*h = -6*h + 6. Let s = h + 0. Solve 2*v + 2 - 4 = -g, -s*g = v - 4 for v.
0
Suppose -6*d + 192 = 12. Solve 2*o + 13 = -2*o + k, 0 = 5*o - 4*k + d for o.
-2
Let f be 52/14 + (-4)/(-14). Suppose -f*l - 340 = -9*l. Suppose 0 = -s + 5*s - l. Solve -v + 5*r - s = -0*v, -32 = -4*v - 5*r for v.
3
Suppose 2*z + 52 = 2*t, -4*t + 23 = z - 66. Solve -2*c = 5*o - 5 + t, -c = 4*o + 15 for c | {
"pile_set_name": "DM Mathematics"
} |
by 1732
1
Calculate 8 divided by -22.
-4/11
Divide -7668 by -6.
1278
Divide 787 by 2.
787/2
Calculate -372 divided by -93.
4
Divide -1857 by 3.
-619
8200 divided by -5
-1640
Divide -4 by 1524.
-1/381
Divide -3280 by -4.
820
What is 660 divided by -66?
-10
-1140 divided by 38
-30
Calculate -10 divided by -10.
1
Calculate -12358 divided by 3.
-12358/3
What is 5 divided by 722?
5/722
Divide -2499 by -1.
2499
What is -14 divided by 7?
-2
Calculate -146 divided by 3.
-146/3
Calculate -51 divided by -3.
17
-61 divided by 318
-61/318
2076 divided by -2
-1038
Calculate -572 divided by 52.
-11
What is -86 divided by 6?
-43/3
0 divided by -151
0
Calculate -140 divided by -10.
14
Calculate -2 divided by 48.
-1/24
Divide -14722 by 3.
-14722/3
Divide -13494 by 6.
-2249
Divide 198 by 2.
99
What is -47 divided by -3?
47/3
What is 6 divided by -23?
-6/23
What is -35 divided by 97?
-35/97
-819 divided by -91
9
24 divided by 168
1/7
Calculate 0 divided by 44.
0
0 divided by 794
0
6115 divided by -5
-1223
Divide 3 by 34.
3/34
Calculate 1120 divided by 1.
1120
Calculate 804 divided by -6.
-134
Divide 672 by -168.
-4
What is 5755 divided by -5?
-1151
What is -2 divided by -79?
2/79
What is -228 divided by -114?
2
Divide -14 by 8.
-7/4
What is -315 divided by 1?
-315
123 divided by 31
123/31
-7500 divided by 2500
-3
6 divided by 24
1/4
Calculate -382 divided by 5.
-382/5
-2360 divided by 4
-590
What is 9864 divided by -1096?
-9
What is 99 divided by -5?
-99/5
Divide -5 by 41.
-5/41
What is 14949 divided by -4983?
-3
Divide -156 by 24.
-13/2
254 divided by 17
254/17
Calculate -388 divided by -2.
194
Divide -287 by 6.
-287/6
-16 divided by -134
8/67
What is 2406 divided by -1203?
-2
24 divided by -8
-3
Divide -25286 by -2.
12643
Divide -3 by -390.
1/130
68 divided by 68
1
Divide 154 by -154.
-1
-96 divided by 48
-2
What is -204 divided by -34?
6
What is 7 divided by 20?
7/20
-10 divided by 5
-2
Calculate -3136 divided by -4.
784
Divide 23 by 5.
23/5
Calculate -169 divided by 17.
-169/17
What is 1976 divided by -2?
-988
Calculate -2310 divided by 7.
-330
Calculate 959 divided by -7.
-137
Divide 23 by -20.
-23/20
Calculate 159 divided by 6.
53/2
Divide 148 by -37.
-4
What is 26700 divided by -2670?
-10
850 divided by -3
-850/3
What is 2116 divided by -46?
-46
19 divided by -647
-19/647
15360 divided by 640
24
What is 2 divided by -13?
-2/13
Calculate -21 divided by 1.
-21
What is 853 divided by -1?
-853
Divide 21955 by 5.
4391
Divide 16 by 13.
16/13
365 divided by -2
-365/2
Divide -3520 by 64.
-55
-2 divided by -27
2/27
What is -270 divided by -45?
6
Divide 3 by 2927.
3/2927
Divide -78 by 1.
-78
Divide 25745 by 5.
5149
Calculate 0 divided by -375.
0
-153 divided by 3
-51
Calculate -882 divided by -3.
294
-4 divided by -336
1/84
-4 divided by -4770
2/2385
Calculate 2 divided by -76.
-1/38
4 divided by 27
4/27
Calculate -1545 divided by -5.
309
5022 divided by 93
54
Calculate -19015 divided by 5.
-3803
414 divided by -138
-3
609 divided by 4
609/4
What is 810 divided by -1?
-810
1312 divided by -656
-2
What is 237 divided by -5?
-237/5
-106 divided by 106
-1
260 divided by 26
10
10 divided by 50
1/5
What is 3700 divided by -5?
-740
What is -96 divided by -175?
96/175
Divide 3 by 310.
3/310
Calculate 4200 divided by -7.
-600
-86 divided by 108
-43/54
Divide -72 by -36.
2
-20 divided by 3
-20/3
Divide 438 by 73.
6
Divide 21888 by 6.
3648
What is 0 divided by -70?
0
Divide -11676 by 6.
-1946
What is -100 divided by -20?
5
Divide -138 by 3.
-46
510 divided by -102
-5
Calculate 402 divided by 134.
3
Divide -782 by 5.
-782/5
Calculate -10512 divided by -3504.
3
Divide -175 by 5.
-35
Calculate -398 divided by 199.
-2
698 divided by -10
-349/5
Divide -224 by 4.
-56
What is 340 divided by -20?
-17
Divide 31 by 478.
31/478
Calculate -11480 divided by -280.
41
Calculate 55 divided by 1.
55
Calculate -40 divided by -7.
40/7
2499 divided by -21
-119
What is -7353 divided by -3?
2451
Divide 13 by 542.
13/542
Divide -4 by 96.
-1/24
What is -841 divided by -841?
1
0 divided by -315
0
Divide 57063 by 3.
19021
Divide -3850 by 70.
-55
-2186 divided by 3
-2186/3
Calculate 1 divided by -5419.
-1/5419
335 divided by 1
335
Calculate 245 divided by 1.
245
-47 divided by 142
-47/142
Divide 514 by 2.
257
Divide -4053 by 1.
-4053
Calculate 27 divided by 3.
9
What is 12 divided by -3?
-4
6 divided by 88
3/44
What is 2 divided by -1012?
-1/506
-1115 divided by -223
5
-584 divided by 2
-292
3100 divided by -775
-4
Calculate 219 divided by -1.
-219
3 divided by -8324
-3/8324
-6088 divided by -4
1522
7 divided by 131
7/131
Calculate 1320 divided by 15.
88
What is -848 divided by 212?
-4
Calculate -7508 divided by 3.
-7508/3
What is 107320 divided by 4?
26830
Calculate -84 divided by -4.
21
What is -4 divided by -3106?
2/1553
Calculate 90 divided by -30.
-3
Divide -282 by 141.
-2
What is -2064 divided by -1?
2064
Divide -1965 by -393.
5
What is 1170 divided by -234?
-5
Calculate 2172 divided by 362.
6
-13160 divided by -5
2632
0 divided by 550
0
Divide 7602 by 181.
42
-192 divided by -2
96
What is 79 divided by -6?
-79/6
Divide 10958 by -2.
-5479
What is 391 divided by -391?
-1
Calculate 3 divided by -1.
-3
Divide 369 by -41.
-9
2 divided by -362
-1/181
88 divided by -11
-8
Divide 192 by -6.
-32
Divide -3916 by 89.
-44
What is -613 divided by 5?
-613/5
What is -2628 divided by 3?
-876
Calculate -5712 divided by -16.
357
What is -2 divided by -121?
2/121
Divide 4 by -9.
-4/9
Divide 324 by 108.
3
What is 210 divided by -6?
-35
Divide 2 by -347.
-2/347
Divide 28 by -5.
-28/5
Calculate 1770 divided by -3.
-590
Calculate 680 divided by -43.
-680/43
What is -87 divided by 4?
-87/4
Calculate -1515 divided by 5.
-303
Calculate -2 divided by 364.
-1/182
What is 4275 divided by -225?
-19
Calculate 3 divided by -1610.
-3/1610
Divide 1 by 2069.
1/2069
What is -1428 divided by 3?
-476
What is 54 divided by -54?
-1
60 divided by -12
-5
Divide 1252 by -4.
-313
-4 divided by -136
1/34
Calculate -2007 divided by -223.
9
What is 86 divided by 2?
43
What is -524 divided by -4?
131
4 divided by -219
-4/219
-2 divided by -1665
2/1665
Divide 17 by 53.
17/53
Divide -1535 by 5.
-307
-819 divided by 39
-21
-3 divided by 72
-1/24
-5698 divided by -2
2849
Divide -672 by -21.
32
What is -204 divided by -4?
51
What is 2613 divided by -39?
-67
-1916 divided by -2
958
279 divided by -10
-279/10
Calculate 12700 divided by 4.
3175
-687 divided by 687
-1
44 divided by -68
-11/17
Calculate -71547 divided by 3.
-23849
What is -3 divided by -411?
1/137
-5 divided by 2672
-5/2672
8 divided by 59
8/59
Divide 71 by 349.
71/349
Calculate -326 divided by -44.
163/22
What is 9807 divided by -1?
-9807
Calculate -1680 divided by 6.
-280
Calculate 58 divided by 1.
58
Divide 2054 by -6.
-1027/3
What is 716 divided by -3?
-716/3
What is 1 divided by 382?
1/382
Calculate 247 divided by 5.
247/5
What is 0 divided by -66?
0
-1342 divided by -1
1342
Calculate -21630 divided by -70.
309
What is 0 divided by -3631?
0
Divide -66 by 1.
-66
Divide 24 by -1.
-24
Divide 768 by -64.
-12
Divide -11448 by 3816.
-3
What is 115 divided by -41?
-115/41
Calculate 5385 divided by -1077.
-5
What is -4947 divided by 51?
-97
216 divided by 108
2
Calculate 9676 divided by 6.
4838/3
Divide 172 by 43.
4
5 divided by 2976
5/2976
Calculate 43 divided by -10.
-43/10
Divide 424 by -4.
-106
Divide 1908 by -2.
-954
What is 4 divided by 34?
2/17
What is -18477 divided by 3?
-6159
What is -4 divided by 83?
-4/83
What is -1608 divided by 4?
-402
Divide -2 by -45.
2/45
-1 divided by -19
1/19
-408 divided by -68
6
Divide -1359 by -453.
3
Calculate -58 divided by -2.
29
-414 divided by -6
69
1 divided by -15
-1/15
Calculate -148 divided by 1.
-148
What is 1 divided by -1466?
-1/1466
Divide -141 by -124.
141/124
What is -100 divided by 20?
-5
7 divided by -38
-7/38
56 divided by -14
-4
What is 424 divided by -212?
-2
175 divided by -25
-7
Calculate 56 divided by 28.
2
Divide -3 by -2150.
3/2150
What is -142 divided by 71?
-2
Calculate 17864 divided by 4.
4466
Calculate -42 divided by 651.
-2/31
Calculate 3432 divided by 13.
264
-3180 divided by 636
-5
Calculate -2145 divided by -39.
55
-5 divided by -452
5/452
Calculate -7174 divided by 2.
-3587
Calculate -42 divided by 60.
-7/10
Ca | {
"pile_set_name": "DM Mathematics"
} |
08) - sqrt(208)*2) + sqrt(143)/(sqrt(11) - sqrt(176)).
-13*sqrt(13)/3
Simplify -1 + (sqrt(1792)*2)**2.
7167
Simplify ((sqrt(63)/(1*sqrt(3)))/(sqrt(108) - sqrt(27)))**2.
7/9
Simplify ((sqrt(189) - (sqrt(189) - sqrt(189)*-2))/sqrt(9))/(sqrt(84)/(sqrt(36)/sqrt(3))).
-2*sqrt(3)
Simplify (5 + sqrt(34)/sqrt(2))**2 + sqrt(68)/(sqrt(4) + sqrt(64)).
42 + 51*sqrt(17)/5
Simplify -1 + sqrt(153)/(3*(sqrt(9) + sqrt(27)/sqrt(3))).
-1 + sqrt(17)/6
Simplify 2 + sqrt(15)/(sqrt(5)*-2).
-sqrt(3)/2 + 2
Simplify 4*(-3 + (-1*sqrt(2448) - sqrt(2448))**2 + -3).
39144
Simplify (sqrt(17)*4 + 0)**2*3.
816
Simplify sqrt(175)*1*4 + 4.
4 + 20*sqrt(7)
Simplify (5*sqrt(108))/((sqrt(150)/sqrt(5))/sqrt(5)).
15*sqrt(2)
Simplify -1*(1 + sqrt(1377) + -2).
-9*sqrt(17) + 1
Simplify -5*((-2*sqrt(98) - sqrt(98))*5 - sqrt(98)).
560*sqrt(2)
Simplify (sqrt(11) + (sqrt(33) + sqrt(297))/sqrt(3))**2*1 + -4.
271
Simplify -1 + sqrt(143)/((sqrt(132) + sqrt(132) + sqrt(132)*-1)/sqrt(12)).
-1 + sqrt(13)
Simplify (sqrt(19) + sqrt(209)/(sqrt(11) - (sqrt(11) - sqrt(55)/sqrt(5))) - (sqrt(19) + (1 + -2 + sqrt(19))**2)) + 2.
-18 + 3*sqrt(19)
Simplify (sqrt(95)*-1*3)/sqrt(5).
-3*sqrt(19)
Simplify 4*(-5 + sqrt(5) + sqrt(20)/sqrt(4))**2.
-80*sqrt(5) + 180
Simplify sqrt(33)/((sqrt(165)/sqrt(11) + sqrt(15))/sqrt(5)).
sqrt(11)/2
Simplify -5 + ((0 + sqrt(5))**2 - sqrt(5)) + sqrt(180) + 1 - (sqrt(4500) - -1*sqrt(4500))/sqrt(9).
-15*sqrt(5) + 1
Simplify ((2*sqrt(275))/sqrt(5))/(2*sqrt(1100)).
sqrt(5)/10
Simplify sqrt(56)/(sqrt(8)*1*-5).
-sqrt(7)/5
Simplify sqrt(49)/(4*sqrt(28)/sqrt(4)).
sqrt(7)/4
Simplify sqrt(88)/(sqrt(8) - (sqrt(8) - sqrt(32)*-2)).
-sqrt(11)/4
Simplify (-2*sqrt(700))**2 + (-1 + sqrt(7))*5 + ((sqrt(175) - (sqrt(175) + -1)) + sqrt(7))**2 + 1 + sqrt(7) + 4.
8*sqrt(7) + 2808
Simplify 2 + (5*2*sqrt(88) + sqrt(88))/(sqrt(8) - 4*sqrt(24)/sqrt(3)).
-11*sqrt(11)/3 + 2
Simplify (sqrt(55)/sqrt(5) + -4)**2 + sqrt(176) + 5.
-4*sqrt(11) + 32
Simplify (4 + sqrt(5)*-1 - (sqrt(125) + -3))**2*-4.
-916 + 336*sqrt(5)
Simplify sqrt(637)*-2 - sqrt(637)*-5.
21*sqrt(13)
Simplify sqrt(20)/(1*sqrt(10))*4.
4*sqrt(2)
Simplify ((-1*sqrt(416) + sqrt(416))/sqrt(8) - sqrt(52))/(sqrt(144)/sqrt(9)).
-sqrt(13)/2
Simplify (2 + sqrt(832) + -3)**2 + 2.
-16*sqrt(13) + 835
Simplify (sqrt(17)*-2 + sqrt(17))**2 + -3 + -1.
13
Simplify 2*sqrt(180)*-5.
-60*sqrt(5)
Simplify 3 + (-1*sqrt(22)/sqrt(2) - (2 + sqrt(44)))**2.
12*sqrt(11) + 106
Simplify 1*(sqrt(684) + (sqrt(684)*-3)**2)*-6.
-36936 - 36*sqrt(19)
Simplify -5*(sqrt(1872) + (sqrt(1872) + 1)**2*-1).
60*sqrt(13) + 9365
Simplify (-5 + sqrt(147)*-1 + 5)**2.
147
Simplify sqrt(228)/sqrt(3) + ((sqrt(684) + -2*sqrt(684))**2 - sqrt(684)).
-4*sqrt(19) + 684
Simplify -2 + sqrt(13) + sqrt(13) + (sqrt(52))**2 - (4 + sqrt(52)).
46
Simplify (sqrt(44) + -3)*6 - sqrt(44).
-18 + 10*sqrt(11)
Simplify (2*sqrt(2) + -2 + sqrt(2))*6.
-12 + 18*sqrt(2)
Simplify (sqrt(396)/(sqrt(36)/sqrt(4)*4))**2.
11/4
Simplify sqrt(180) + 3 + -1.
2 + 6*sqrt(5)
Simplify (sqrt(2) + (sqrt(2) - (-2 + sqrt(242) + sqrt(242))) - -2*sqrt(50))**2.
-40*sqrt(2) + 204
Simplify (-3 + sqrt(304))*6.
-18 + 24*sqrt(19)
Simplify (((sqrt(130) - (sqrt(130) + (sqrt(130)*1 - sqrt(130)) + sqrt(130))) + sqrt(130))/sqrt(5))/(-3*sqrt(8)).
0
Simplify 5 + 1*(sqrt(7) - (-1 + 1 + sqrt(7) + sqrt(7))**2).
-23 + sqrt(7)
Simplify (-4 + sqrt(7) + 1)**2*1.
-6*sqrt(7) + 16
Simplify (sqrt(363)*-4 - sqrt(363) - sqrt(363)) + -2 + -4.
-66*sqrt(3) - 6
Simplify -5*((2*sqrt(33) + sqrt(33))*-5)/(sqrt(6)/(2*sqrt(2))).
150*sqrt(11)
Simplify -1 + -2*(-4 + sqrt(21)/sqrt(3) + -2).
-2*sqrt(7) + 11
Simplify 1*sqrt(175)*-4*-4.
80*sqrt(7)
Simplify (-2*sqrt(2000) - sqrt(2000) - sqrt(20))/(2*(sqrt(4) - sqrt(36) - sqrt(4))).
31*sqrt(5)/6
Simplify (sqrt(1088)*3 + sqrt(1088) + sqrt(1088))**2*-2.
-54400
Simplify 1 + (-2 + sqrt(832)*-1)**2.
32*sqrt(13) + 837
Simplify (sqrt(14) - 2*(sqrt(14)*-3 + sqrt(14)))/sqrt(2).
5*sqrt(7)
Simplify (((sqrt(133)*-1)/sqrt(7) + sqrt(19))*2)**2.
0
Simplify (((sqrt(5) + (sqrt(5) - sqrt(80) - sqrt(5)) + sqrt(5) - sqrt(5))*2 - sqrt(320)) + 4)**2.
-112*sqrt(5) + 996
Simplify 6*(sqrt(10)/sqrt(2))**2 + ((sqrt(50)*1)/sqrt(10))**2.
35
Simplify sqrt(22)/(sqrt(2) + sqrt(64)/sqrt(2)).
sqrt(11)/5
Simplify sqrt(468)*3 + sqrt(468) + ((sqrt(52)*2 + sqrt(52))/sqrt(4) + sqrt(13))**2.
24*sqrt(13) + 208
Simplify ((sqrt(192) + -2)**2 - sqrt(3)) + -2.
-33*sqrt(3) + 194
Simplify (sqrt(720)*2 - sqrt(720))/sqrt(4).
6*sqrt(5)
Simplify ((-1 + sqrt(19) + -1 - (2*sqrt(171))/sqrt(9)) + 4)**2.
-4*sqrt(19) + 23
Simplify (-4*sqrt(4)/(sqrt(16)/(sqrt(8)*-3)))**2.
288
Simplify (sqrt(224)/(2*sqrt(4)))/(-1*sqrt(8)*3).
-sqrt(7)/6
Simplify sqrt(11) + sqrt(11) + sqrt(176) + 2*sqrt(176) + sqrt(11) + (sqrt(11) - (sqrt(22)/sqrt(2) - sqrt(11)))**2 + 1.
12 + 15*sqrt(11)
Simplify 2*((sqrt(272) + sqrt(272)*1)*2)**2.
8704
Simplify 3 + (sqrt(121)/sqrt(99))**2 + 2.
56/9
Simplify (sqrt(216)/((sqrt(40)*-2)/sqrt(5) + sqrt(8)))**2.
27
Simplify 2 + sqrt(300)*-2 - (3 + 0 + sqrt(300))**2.
-307 - 80*sqrt(3)
Simplify sqrt(204)/((sqrt(24) - (sqrt(144)/sqrt(6) - sqrt(24) - sqrt(24)))/sqrt(2))*1.
sqrt(17)/2
Simplify (-5 + 3*sqrt(100)/sqrt(5) + sqrt(20))**2.
-80*sqrt(5) + 345
Simplify ((sqrt(272) + 1)*-1 + sqrt(272)*-2*-3)**2.
-40*sqrt(17) + 6801
Simplify ((sqrt(125) - (sqrt(125) - (2 + sqrt(125)))) + 3 + 1*sqrt(125) + -5 + sqrt(125))**2.
1125
Simplify (5*-2*sqrt(114))/(sqrt(6)*2*-3 - sqrt(6)).
10*sqrt(19)/7
Simplify (1*sqrt(10)/sqrt(2)*3)**2 + -1.
44
Simplify sqrt(99) - (sqrt(99) + ((sqrt(99) - (sqrt(99) - -5*sqrt(99)*-1)) + sqrt(99))**2).
-3564
Simplify (sqrt(1400) - (sqrt(1400) + (sqrt(1400) - 3*sqrt(1400))))/sqrt(8).
10*sqrt(7)
Simplify 3 + ((sqrt(125) + 4 - sqrt(125)) + sqrt(125) + 3)**2.
70*sqrt(5) + 177
Simplify (-3*sqrt(24)/sqrt(4))/sqrt(2) + 4.
-3*sqrt(3) + 4
Simplify 1 + -5*(-1 + sqrt(17)) + 2 + 5.
-5*sqrt(17) + 13
Simplify sqrt(98) - (1 + sqrt(98) + -1)**2.
-98 + 7*sqrt(2)
Simplify sqrt(95)/(sqrt(180)*-3).
-sqrt(19)/18
Simplify -6*(-5*(sqrt(7) + -2)**2 - sqrt(7))*5.
-570*sqrt(7) + 1650
Simplify (sqrt(3)*-2*4 - sqrt(9)/(-3*sqrt(3)))**2.
529/3
Simplify ((sqrt(300)/sqrt(160))/(sqrt(10) + -1*sqrt(10)*-1))**2.
3/64
Simplify (-5 + 5 + (2*sqrt(700) + sqrt(700) - sqrt(700) - sqrt(700)) + -5 + sqrt(700)*-2 + sqrt(700))**2.
25
Simplify 5 + sqrt(832) + -1 + 0.
4 + 8*sqrt(13)
Simplify 5 + 3*sqrt(612).
5 + 18*sqrt(17)
Simplify 5 + (sqrt(448) + -1)**2 + 0 + (-1 + sqrt(448))**2.
-32*sqrt(7) + 903
Simplify 3*(-4 + sqrt(1088))**2.
-192*sqrt(17) + 3312
Simplify -3*(0 + sqrt(704)).
-24*sqrt(11)
Simplify ((4*(sqrt(60)*3 + sqrt(60)))/((sqrt(144)/sqrt(4))/sqrt(3)))**2.
1280
Simplify -6*sqrt(60)/(sqrt(12) - sqrt(12)*2).
6*sqrt(5)
Simplify (sqrt(102) - (sqrt(102) + sqrt(102)*1*3))/(sqrt(6) + (-3*sqrt(66))/sqrt(11)).
3*sqrt(17)/2
Simplify (sqrt(19) - (sqrt(19) + sqrt(304))) + 1 + -2*sqrt(304).
-12*sqrt(19) + 1
Simplify -2 + ((sqrt(9) - -1*(sqrt(9)*-4 - sqrt(9))) + sqrt(9))/sqrt(3).
-3*sqrt(3) - 2
Simplify 2 + sqrt(8)/(sqrt(20)/sqrt(5)).
sqrt(2) + 2
Simplify sqrt(7) + 2 + sqrt(112) + (-2 + (sqrt(28) - sqrt(7)))**2.
sqrt(7) + 13
Simplify -1 + (-1 + sqrt(14)/sqrt(2))*2.
-3 + 2*sqrt(7)
Simplify (sqrt(49) - sqrt(49)*-1)/sqrt(7) + (sqrt(77)*3)/sqrt(11).
5*sqrt(7)
Simplify -5*sqrt(4)/sqrt(2)*-2.
10*sqrt(2)
Simplify (sqrt(90)*-2)/(sqrt(20) - sqrt(80)).
3*sqrt(2)
Simplify 1*(sqrt(1792) - (sqrt(1792) + 0 + -2)).
2
Simplify (5 + 2*sqrt(3))*6.
12*sqrt(3) + 30
Simplify (sqrt(28) + sqrt(448) + -1*sqrt(448))/(sqrt(4) + (1*sqrt(4)*1 - sqrt(4))).
sqrt(7)
Simplify sqrt(99)/(sqrt(9) + sqrt(27)/sqrt(3)) - sqrt(22)/(sqrt(6)/sqrt(3)).
-sqrt(11)/2
Simplify 2*(sqrt(78)/(sqrt(6)*-2) + (-1 + sqrt(325))**2).
-21*sqrt(13) + 652
Simplify 5 + 4 + (2*sqrt(432))**2 + -2.
1735
Simplify ((sqrt(325) - sqrt(13))*-5*4)**2.
83200
Simplify -3 + sqrt(13) + (-1*sqrt(52)/sqrt(4))**2 + sqrt(104)/sqrt(2).
10 + 3*sqrt(13)
Simplify (sqrt(17) + 4*sqrt(17))*-4 - (sqrt(17) - sqrt(17)*-3*-1).
-18*sqrt(17)
Simplify sqrt(77)/(sqrt(44)/sqrt(4)) - sqrt(77)/(-1*sqrt(11)).
2*sqrt(7)
Simplify ((sqrt(2) + -2 + sqrt(242))*1)**2*-4.
-1168 + 192*sqrt(2)
Simplify sqrt(209)/(2*sqrt(11)) - (sqrt(19) - 3*sqrt(171)).
17*sqrt(19)/2
Simplify sqrt(8)/(sqrt(16)/sqrt(4)) + -3 - ((sqrt(8) - sqrt(72))*2)/sqrt(4).
-3 + 5*sqrt(2)
Simplify (sqrt(189)/sqrt(7) - sqrt(27))**2 - sqrt(3) - sqrt(3) - | {
"pile_set_name": "DM Mathematics"
} |
)/q)/q)/q)**(-25))**(-31) assuming q is positive.
q**(-3875)
Simplify (a*a**20)/a**(1/13) assuming a is positive.
a**(272/13)
Simplify (y**(1/3))**(-4/37) assuming y is positive.
y**(-4/111)
Simplify (l**(-7)/l)/(l**(-3)*l)*(l*((l**(1/4)/l)/l)/l)**(-35) assuming l is positive.
l**(221/4)
Simplify (h/(h**(-1/2)*h))**(3/29)/(h**(-1/3)*h*h**(-1/6)*h) assuming h is positive.
h**(-42/29)
Simplify c*c**(-13)/c*c**25 assuming c is positive.
c**12
Simplify (m**8*m**(-2)*m)/(m**(-1/3))**(2/3) assuming m is positive.
m**(65/9)
Simplify (s/(s/s**25)*s)/(s*s**(-18)*s) assuming s is positive.
s**42
Simplify ((w/(w**(2/9)/w))/w)**(-2/33)*(w*w/(w/(w*w*w/(w**(-2/9)/w)))*w*w*w)**17 assuming w is positive.
w**(41500/297)
Simplify (p**3)**(-22)*(p**3)**(-3/20) assuming p is positive.
p**(-1329/20)
Simplify (f*f**(13/7))/((f/((f**(-13/3)*f)/f))/f) assuming f is positive.
f**(-31/21)
Simplify (j*(j*j*j*j*(j/(j/(j/(j/j**17))*j))/j)/j)/(((j/(j**(-2/3)/j))/j)/j) assuming j is positive.
j**(55/3)
Simplify u*u**(-2)*u**1 assuming u is positive.
1
Simplify (g*((g*g/g**(-3/5))/g)/g)**(1/4) assuming g is positive.
g**(2/5)
Simplify (v/v**(-24))**(-14) assuming v is positive.
v**(-350)
Simplify (l*l**(-6))/(l*l/(l*l/(l**(-4)/l))*l)*l**(4/9)/(l/(l/(l**(-1)*l)*l)) assuming l is positive.
l**(4/9)
Simplify (k**(-7)*k**(2/17))**(50/9) assuming k is positive.
k**(-650/17)
Simplify ((b*b**(-3)/b)**(7/3))**(-37) assuming b is positive.
b**259
Simplify ((b*b**(1/3))/b)**(-19/2)*(b**(1/3)*b)**33 assuming b is positive.
b**(245/6)
Simplify s*s*s*s**(1/4)*s**(-10) assuming s is positive.
s**(-27/4)
Simplify (((g/((g/(g**2/g)*g)/g))/g)**(-12/19))**15 assuming g is positive.
1
Simplify ((o**(1/5))**(-3/2))**(-48) assuming o is positive.
o**(72/5)
Simplify (u**(-2/7)/((u/(u/(u*u**(3/10))))/u))**(-2) assuming u is positive.
u**(41/35)
Simplify ((f/f**(1/5)*f*f)/(f/f**(-3/20)))**(-45) assuming f is positive.
f**(-297/4)
Simplify ((c*c/c**(-7))/c)/c*c*c**(-8/3)*c assuming c is positive.
c**(19/3)
Simplify (m*m/((m**(-2)/m)/m))/(m*m/m**(3/8)*m)*(m**(1/3)/m*m)**37 assuming m is positive.
m**(377/24)
Simplify (i**(-2)*i*i**(-2/3)/i*i)/(i**(-8)/(i/(i/i**(-3)))) assuming i is positive.
i**(10/3)
Simplify z**2/(z**(-25)/z) assuming z is positive.
z**28
Simplify y**0*y*y*y**(1/8)*y**(-7)/y*y**2/y assuming y is positive.
y**(-39/8)
Simplify (h**3/h)**(-1/71) assuming h is positive.
h**(-2/71)
Simplify ((j*j**(-5)*j)/j**4)/(j**(-6)/(j**2*j)) assuming j is positive.
j**2
Simplify ((d/(d/(d**0*d)*d))/(d/(d*d**(-2/3))))/((d/(d/(d*d/(d*d/(d/(d*d/d**6*d*d)*d))*d)))/d**0) assuming d is positive.
d**(-17/3)
Simplify (h**(2/3))**(3/5) assuming h is positive.
h**(2/5)
Simplify ((a/a**(1/2))**(-5/2))**33 assuming a is positive.
a**(-165/4)
Simplify (((i**(-3/2)/i)/i)/i**(-2))**(-6/31) assuming i is positive.
i**(9/31)
Simplify (s/(s*((s*((s**(-1/4)*s)/s)/s)/s)/s*s))**(1/8) assuming s is positive.
s**(5/32)
Simplify (q**(-2/9))**(-1/4)*(q**(-2))**(-27) assuming q is positive.
q**(973/18)
Simplify (u/u**0)**(-1/27) assuming u is positive.
u**(-1/27)
Simplify (t*t**(3/16))**(3/5) assuming t is positive.
t**(57/80)
Simplify (v**(-1/3))**(-2/71) assuming v is positive.
v**(2/213)
Simplify ((a**(-2/3)/a)/a*a*a*a**(1/2)*a)/(a**(-2/17)*a**(-2/9)) assuming a is positive.
a**(359/306)
Simplify ((r*r/(r*r**(-6)))/(r/(((r**9*r)/r)/r)))/(r*r**(-2/11)*r/(r/r**(2/3))*r) assuming r is positive.
r**(380/33)
Simplify i**(-2/13)/i**(-6)*(i/(i/(i/i**(-1/4)))*i)/i*i*i**(1/2)/i assuming i is positive.
i**(395/52)
Simplify ((q*q*q/((q/q**(1/3)*q)/q))/q*q**(-3)/q)**(-26) assuming q is positive.
q**(208/3)
Simplify (s**(-19))**(-1/9) assuming s is positive.
s**(19/9)
Simplify o**(-1/6)/(o*(o/(o**(-4)*o))/o)*(o/o**(-6))/o*o**1 assuming o is positive.
o**(17/6)
Simplify ((u*u**(2/23))**(-11))**(-15/8) assuming u is positive.
u**(4125/184)
Simplify (u*u*u**(-11))/(u**(-6/13)*u) assuming u is positive.
u**(-124/13)
Simplify (((z**(-3)/z)/z)/z)/z**(-9) assuming z is positive.
z**3
Simplify (p/p**21)**1 assuming p is positive.
p**(-20)
Simplify s/(s*s**(-2)*s*s)*s**(-3)*s*s**5*(s**5/s)/s assuming s is positive.
s**6
Simplify y*y*y**2*y*y**13/y assuming y is positive.
y**17
Simplify (h**(2/7)*h)**(-5/8) assuming h is positive.
h**(-45/56)
Simplify ((y*y*y**(3/2)/y)/y)**31 assuming y is positive.
y**(93/2)
Simplify (y**(-2/9)*y)**(-47)/(y**(2/5)*y**(2/15)) assuming y is positive.
y**(-1669/45)
Simplify (s**(-4)*s**(-7)/s*s)/(s**0)**(-4/11) assuming s is positive.
s**(-11)
Simplify ((k**(-8))**(5/11))**(-23) assuming k is positive.
k**(920/11)
Simplify (o/(o*o*o/(o*o**(6/7)*o)))**(-3/35) assuming o is positive.
o**(-18/245)
Simplify r*r/(r/(((r/(r**(2/23)*r)*r)/r*r)/r))*(r*r/(r**(-3/5)*r))/r assuming r is positive.
r**(174/115)
Simplify u/((u/u**28*u*u)/u)*u/(u/(u/u**(-28/3)*u)) assuming u is positive.
u**(115/3)
Simplify l**32/l**20 assuming l is positive.
l**12
Simplify l**(-6/13)/l**38 assuming l is positive.
l**(-500/13)
Simplify (p*p*p/p**1*p**7)/((p/p**3)/(p/(p*p*p**(2/11)))) assuming p is positive.
p**(108/11)
Simplify (x/x**(-6))/(x*x/(x*x/x**(-2/15)))*x/(x*x/((x*x**(-7))/x))*x/(x*x*x**(2/11)/x*x) assuming x is positive.
x**(-338/165)
Simplify ((s/(s/(s/(s/(s*s**(-1/8))*s))*s)*s)/s**(-7))**(-2/153) assuming s is positive.
s**(-55/612)
Simplify (b*b**(1/3)*b**(1/9)*b)**28 assuming b is positive.
b**(616/9)
Simplify ((p**(-2/5))**32)**(1/24) assuming p is positive.
p**(-8/15)
Simplify (f*f/(f**(-8)*f))/f*f**(-1/5)*(f**(2/9))**(-2/49) assuming f is positive.
f**(17179/2205)
Simplify (s/s**(5/3))/(s*s*s**18/s*s*s) assuming s is positive.
s**(-65/3)
Simplify (w**(-5)/w**(6/5))/(w**1)**21 assuming w is positive.
w**(-136/5)
Simplify (r**(-2/15))**(-11) assuming r is positive.
r**(22/15)
Simplify (g**(-1/5)/(((g*g**(-5/6))/g*g)/g*g))**(-1/3) assuming g is positive.
g**(11/90)
Simplify ((g/(g*g**5))/g*g**(-4))**(1/3) assuming g is positive.
g**(-10/3)
Simplify (b**(-1))**(8/17)*(b**(2/7))**(-17) assuming b is positive.
b**(-634/119)
Simplify ((z**(2/19)/z*z)/z*z/(((z*z*z**(-2/3)/z*z*z*z)/z)/z)*z)**(2/9) assuming z is positive.
z**(-26/513)
Simplify j**(-8/7)*j/(j*j/(j**(-1/6)/j))*j**7/j**(1/10) assuming j is positive.
j**(377/105)
Simplify o/((o*o*o/(o**(-8)/o)*o)/o)*o**(-6)*(o**2*o)**(3/5) assuming o is positive.
o**(-76/5)
Simplify ((h**(7/5)*h)/h)/(h*h*h**(-11)*h*h*h) assuming h is positive.
h**(37/5)
Simplify c*c/(c*((c/(c/(c*c**(2/43)))*c)/c)/c)*c**29*c assuming c is positive.
c**(1331/43)
Simplify (o**(-22))**(-8/11) assuming o is positive.
o**16
Simplify (a**(-6)*a*a)/(((a**(-1)*a)/a)/a)*a*a/a**(-3)*a**(-2) assuming a is positive.
a
Simplify t**(2/41)/((t/(t**(-3/4)/t*t)*t)/t*t) assuming t is positive.
t**(-443/164)
Simplify (v**6*v)/(v/v**(-4/3)) assuming v is positive.
v**(14/3)
Simplify s**(1/19)/(s*s*s*s/s**(5/2)) assuming s is positive.
s**(-55/38)
Simplify ((g/(g/((g/(g**6*g))/g)))/g)**(-25) assuming g is positive.
g**200
Simplify (w**(-1/4))**49*(((w**(2/3)/w*w)/w)/w)**(-3) assuming w is positive.
w**(-33/4)
Simplify ((h**(2/7)*h)/h)/h*h**18 assuming h is positive.
h**(121/7)
Simplify (w/(w**(-10)/w)*(w/(w*w**(4/3))*w)/w)**4 assuming w is positive.
w**(128/3)
Simplify ((s**2)**(2/5))**(-4/15) assuming s is positive.
s**(-16/75)
Simplify v**(7/2)*v*v**(-3/7) assuming v is positive.
v**(57/14)
Simplify (n*n**(6/11)*n)/(n*n*(n/(n/(n*n**2/n)))/n) assuming n is positive.
n**(-5/11)
Simplify (i**(-2/11)*i**8)**(-1/21) assuming i is positive.
i**(-86/231)
Simplify (t**(-6/7)*t)**33 assuming t is positive.
t**(33/7)
Simplify (w**(-1))**(2/39)/(w**(-4)*w*w**(1/7)) assuming w is positive.
w**(766/273)
Simplify (d**9*d*d**(1/2))/(d**2*d**(1/3)) assuming d is positive.
d**(49/6)
Simplify (z**12/(z**(-1/6)*z))**(2/63) assuming z is positive.
z**(67/189)
Simplify (t**(-2)/t**7)/((t*t*t/(t/t**0))/t)**36 assuming t is positive.
t**(-45)
Simplify (((r*r/r**(2/3))/r)/(r**(4/7)*r))/(r**(-1/8)/(r*r**4/r)) assuming r is positive.
r**(485/168)
Simplify ((f*f*f/f**(4/7)*f*f)/f**(-9))**17 assuming f is positive.
f**(1598/7)
Simplify (n**(2/5))**(-49)/(n**0/n**(3/5)) assuming n is positive.
n**(-19)
Simplify t/((t/t**23)/t)*t/(t*t/(t/t**(6/19))*t) assuming t is positive.
t**(431/19)
Simplify (w*(w**2*w)/w)**(-12/7)*(w/(w/(w*w**(-2/7)/w)))**(-29) a | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -3*r + 2*j + d = 4*j, -3*r = -j - 29. List the prime factors of r.
3
Suppose 3*g - 5400 - 813 = 0. What are the prime factors of g?
19, 109
Suppose 4*y - 21 = f, 7*f - 26 = -4*y + 9*f. Suppose -2*p + 5*p + 711 = y*d, -2*d = -3*p - 357. List the prime factors of d.
3, 59
Let b(r) = r**2 + 12*r + 1. Let c be b(-11). Let o be c/(-10) - (0 + 1). Suppose -y + 2*y + f = 11, -y + 4*f + 21 = o. List the prime factors of y.
13
Let j be 1/(1 + 300/(-305)). Let m = -5 + j. What are the prime factors of m?
2, 7
Let y be -11 - 0/(-1) - 3. Let r be -1 - 7/(y/(-16)). Let k = 12 + r. What are the prime factors of k?
3
Let h(c) = -81*c - 27. Let k be h(-7). Let i = -354 + k. List the prime factors of i.
2, 3, 31
Let d = 82 - 105. Let f = d + 110. What are the prime factors of f?
3, 29
Suppose 0 = -5*o, -2*o = 2*l + 2*o + 332. Let z = -25 - l. What are the prime factors of z?
3, 47
Let p(b) = 604*b**2 - 2*b - 1. Let v be p(-1). Suppose 0*y - 5*y + v = 0. Suppose -3*i + y = -2. List the prime factors of i.
41
List the prime factors of ((-168)/32)/21 - (-4215)/12.
3, 13
Suppose -5 = 27*o - 28*o. Suppose a - 95 + 21 = -3*w, -390 = -5*a + o*w. List the prime factors of a.
7, 11
Suppose 4*u + 128 = -3*p, -66 = 4*p + 4*u + 110. What are the prime factors of 16/(-6)*822/p*6?
2, 137
Let q be (-6)/(-8) - (-21)/(-28). Suppose -3*y - 9 = q, 0 = 2*w - 0*y - y - 53. List the prime factors of w.
5
Let l be (-10)/45 - (-156)/(-27). Let z(s) be the first derivative of s**3/3 + s**2 - 12*s - 2. List the prime factors of z(l).
2, 3
Suppose 0 = 5*j + 5 - 25. Suppose -2*u + 0*r + 93 = r, -j*u + r = -183. What are the prime factors of u?
2, 23
Let p be 4 + -5 + 3 - (-520)/(-10). Let o(m) = -m + 8. Let k be o(0). Let b = k - p. What are the prime factors of b?
2, 29
Let t(z) = -z + 5. Let c be t(5). Let o be (20/12 - 2)*c. Let a = o + 25. List the prime factors of a.
5
Let h = -34 + 37. Suppose -3*f - 139 = -2*k, -h*k + 3*f + 180 = -27. List the prime factors of k.
2, 17
What are the prime factors of (-21)/(((-4)/(-10))/(2800/(-375)))?
2, 7
Let r be 6 + 6/(-3) + 0. Suppose 0*n + n + 2*h = -3, 5*n - r*h - 27 = 0. Let j(m) = 22*m - 8. List the prime factors of j(n).
2, 29
Let a be 1029/(-15) - (1 - 3/5). Let b = a - -95. List the prime factors of b.
2, 13
Let n(u) = 6*u - 30. Suppose 7*r - 39 = 108. List the prime factors of n(r).
2, 3
Let h(w) = 2*w**2 + 6*w - 18. Let b be h(-8). Suppose -3*f + 31 + b = 0. What are the prime factors of f?
31
What are the prime factors of 3693 - 8/(-6)*33/11?
3697
Suppose 2*a - 43 = -5*p, -6 = -a - 5*p + 8. Suppose -4*j = -3*u + 184, 0 = -u + j + 90 - a. List the prime factors of u.
2, 3, 5
List the prime factors of ((-5412)/(-88))/(1/18).
3, 41
Suppose -3192 = -5*p + 623. What are the prime factors of p?
7, 109
Let v be 36/9 - (-1 + 1). Let n(q) = v + 2 + 0*q**2 - q**2 + 8*q. What are the prime factors of n(5)?
3, 7
Let o be (-28)/(-8)*(-4)/(-7). Let q be (-2)/(-6) - 209/(-3). Suppose -o*p + 10 = -q. List the prime factors of p.
2, 5
Suppose 42*g - 43*g + 349 = 0. What are the prime factors of g?
349
Let z(s) = -s**2 + 14*s + 17. Let k be z(15). Suppose 2*g + 33 = 3*u - 0*g, k*u = -3*g + 35. Let c = u + -8. What are the prime factors of c?
5
Let u be (-3)/5 - (-36)/10. Suppose -o - 3*o = 4*f - 456, -346 = -u*o - 2*f. What are the prime factors of o?
2, 59
Suppose -2*w + j + 5450 = 0, -15*j + 13639 = 5*w - 14*j. List the prime factors of w.
3, 101
Let y = -419 - -747. What are the prime factors of y?
2, 41
Let m be (2/(-4))/(3/(-30)). Suppose -m*s + 5*r = -0*s - 15, -2 = -3*s - 4*r. What are the prime factors of 815/35 - s/7?
23
Let d(u) = u**2 + 13*u - 1. Let r = 33 + -46. Let n be d(r). What are the prime factors of (4 - 7) + 64 + n?
2, 3, 5
Let y(a) = 2*a**3 - 16*a**2 - 2*a + 3. List the prime factors of y(9).
3, 7
Let x = 3 + 1. Suppose -x*a + k = -27, 4*k - 3 - 1 = 2*a. Let s(i) = i + 10. List the prime factors of s(a).
2, 3
Suppose 0 = 5*c, -1020 = -i - 5*c + 3*c. Suppose 5*s - i = -3*l + 2*l, -5*s - 5*l = -1020. List the prime factors of s.
2, 3, 17
Suppose -4*c = -0*c + 5*d + 59, 0 = 5*d - 5. List the prime factors of (-232)/c + 2/(-4).
2, 7
Let s be 88/(-110) + (-2)/10. Let x(p) = -p**2 - p. Let w(v) = -7*v**2 - 21*v - 1. Let d(i) = s*w(i) + 5*x(i). List the prime factors of d(-11).
67
What are the prime factors of 8 + (-4*(-5)/(-4) - -3253)?
2, 11, 37
Suppose -64*h + 74*h - 5730 = 0. List the prime factors of h.
3, 191
Let i = 7850 - 4673. What are the prime factors of i?
3, 353
Let n be (-2)/(-7) + 66/14. Suppose x - 3*x + n*t = -45, -x - 2*t + 9 = 0. Let g = 53 - x. List the prime factors of g.
2, 19
Let b = 418 + 411. List the prime factors of b.
829
Suppose -7*t = 4*b - 10*t - 21, -12 = -b + 3*t. Suppose 3*l + b = 12. List the prime factors of l.
3
Let u = -25 + 211. What are the prime factors of u + (-2)/(-6)*3?
11, 17
Suppose 23*j - 26*j - 18 = 0. What are the prime factors of j/(-8) - (-12201)/84?
2, 73
Suppose 3*v = 5*k + 17, -v = 2*v + 5*k - 37. Suppose -3*t + v = -6. Suppose t*m = 7*m - 42. List the prime factors of m.
3, 7
Let z = 7059 + -3753. List the prime factors of z.
2, 3, 19, 29
What are the prime factors of 2257/3 - (-6)/126*-7?
2, 47
Suppose -18*z - 1491 = -21*z. What are the prime factors of z?
7, 71
Let a(g) = -g**2 - 73*g + 89. List the prime factors of a(-41).
3, 467
List the prime factors of (-17817)/(-33) - (-2)/22.
2, 3, 5
Suppose -14454 = -4*i - 18*i. What are the prime factors of i?
3, 73
Suppose -p = 4*t - 3 - 14, 2*p = -5*t + 22. List the prime factors of (t/(-6))/((-8)/708).
59
Suppose -5*s = -2*a - 2*s + 1, -5*a - 2*s - 7 = 0. Let i be 5 + a + (-39 - -2). Let j = i - -78. List the prime factors of j.
3, 5
Let y(g) = -2285*g - 9. List the prime factors of y(-1).
2, 569
Suppose 8*f = 13*f - 1625. Suppose 0 = -h - 4*h + f. What are the prime factors of h?
5, 13
Suppose 0 = 4*z - x - 3, 5*x - 26 = 5*z - 11. List the prime factors of ((-18)/(-27))/(z/27).
3
Let y = -27 - -24. What are the prime factors of (y/2)/((-9)/420)?
2, 5, 7
Let n(a) = 690*a - 24. List the prime factors of n(2).
2, 3, 113
Let s be ((-1)/(-1) - -16)*(-28 + 34). Let k = s + -56. What are the prime factors of k?
2, 23
Let p be (3 + -2 + -3)*1 - 27. Let g = p + 38. List the prime factors of g.
3
List the prime factors of (1568/(-140))/(1/(-35)).
2, 7
Suppose -7*i = -6*i - 11*i. What are the prime factors of 33*(0 - -1) + (-3 - i)?
2, 3, 5
Let f = -26 - -46. Suppose 5*w - w = -4*v + 296, -f = -4*v. Let l = -41 + w. What are the prime factors of l?
2, 7
Suppose 5*t + 3 = -2, 0 = -2*g + 5*t - 3. Let q(c) = -10*c - 1. What are the prime factors of q(g)?
3, 13
Let f(j) = -j**2 + 22*j - 7. Let a(y) = 6*y**2 - 3. Let x be a(2). What are the prime factors of f(x)?
2, 7
Suppose v + 48 = 2*n, 2*v + 98 = -0*n + 3*n. Let c = v - -104. List the prime factors of c.
2, 13
Let o(v) = -5*v**2 + 166*v - 26. What are the prime factors of o(29)?
11, 53
Let v = 3 + 17. Suppose -n + v = -3*n. List the prime factors of (45 + 3)/((-15)/n).
2
Let k be (-4 - 25/(-4))*4. Let r be (2 + (-30)/k)*-27. Suppose -34*j + r*j = 100. List the prime factors of j.
2, 5
Suppose 4*f + u = 9, 8*f = 3*f + 2*u + 21. Suppose 2*v = -h - 3*h + 130, -3*h + f = 0. What are the prime factors of v?
3, 7
Suppose a + 4*a = w - 5683, w = 3*a + 5673. What are the prime factors of w?
2, 3, 23, 41
Let b = -8 + 11. Let s = 40 - b. Suppose 3*a = 5*u - 95, -3*u + 20 = 2*a - s. What are the prime factors of u?
19
Let x = -16 - -32. Let b = 13 - x. List the prime factors of (16 + -1 - b) + -3.
3, 5
Suppose -8*a + 109 = 5. Let t = a + 10. List the prime factors of t.
23
Suppose 5*j - 2142 = 8048. What are the prime factors of j?
2, 1019
Let x(n) be the first derivative of n**3/3 + 4*n**2 + 4*n - 2. Let a be x(-8). Suppose -148 = -5*u - a*p + 2*p, 4 = p. What are the prime factors of u?
2, 7
Let m(t) = 2*t**2 + 5*t + 2. Let v be m(-3). Suppose 126 + 444 = v*s. What are the prime factors of s?
2, 3, 19
Suppose s - 79 = 41. Let q = s + -14. Suppose -5*f + 14 = -q. List the prime factors of f.
2, 3
Let y(c) = 48*c - 36. What are the prime factors of y(7)?
2, 3, 5
Let i = 7676 + -3377. List the prime factors of i.
3, 1433
Suppose 0 = -4*f + 6 + 2, 0 = -5*y + 2*f + 21. Let u(z) = 16*z + 6. List th | {
"pile_set_name": "DM Mathematics"
} |
What is the remainder when h is divided by l?
14
Suppose -2*o + 56 = 2*v, -9*v + 4*v + 156 = o. Let n = 0 + 1. Suppose v = f + n. Calculate the remainder when 215 is divided by f.
29
Suppose -1133 + 107 = -6*a. Suppose -134 = -173*g + a*g. What is the remainder when 328 is divided by g?
60
Suppose -3*k + 100 = -z, k + 3*k - z = 133. Let c = -65 + 289. What is the remainder when c is divided by k?
26
Let a = 6338 - 6319. Calculate the remainder when 696 is divided by a.
12
Let l(p) = 3*p**2 - 59*p - 190. Let z be l(-3). Let s = -19 - -189. Suppose z - s = -2*f. Calculate the remainder when f is divided by 20.
18
Suppose 116*n - 37565 = 333519. Calculate the remainder when n is divided by 80.
79
Let j be 30/(-70) + 1/((-7)/(-2642)). Let m = j + -238. Calculate the remainder when m is divided by 72.
67
Let l = -765 - -2634. Suppose -17*x = 4*x - l. What is the remainder when x is divided by 46?
43
Suppose o - 11 = 1. Let h = 47862 + -47760. Calculate the remainder when h is divided by o.
6
Let i = 17 + -17. Suppose 4*m + 2 = 3*p + 19, -2*m = -3*p - 7. What is the remainder when 10 + -2 + -2 + i + m is divided by 5?
1
Let p(t) = 3*t**3 - t**2 + 21*t - 35. Let k be p(7). Suppose -k = -46*f + 4*f. Calculate the remainder when 413 is divided by f.
23
Suppose 64*t - 71*t + 553 = 0. What is the remainder when 207 is divided by t?
49
Let l(k) = -4*k**2 + 977*k - 9 - 993*k + 1. Let p be l(-8). Let y = -75 - p. Calculate the remainder when y is divided by 21.
19
Let s = -24 + 38. Suppose 0 = -s*q + 270 + 1158. Calculate the remainder when q is divided by 27.
21
Let k = 1514 - 1503. What is the remainder when 2878 is divided by k?
7
Let g = 5172 - 5104. Calculate the remainder when 241 is divided by g.
37
Let o = -25604 - -25910. What is the remainder when 3084 is divided by o?
24
Suppose 4*i - 4 = -2*j, -5*i + 20 = -0*i - 5*j. Suppose 0*y + i*y - 160 = 0. What is the remainder when y is divided by 33 - 0 - (23 + (37 - 54))?
26
Suppose 4*p - 32 = -4*o, o + 9 - 37 = -5*p. Suppose 5*k = 10, p*k - 74 = h - 313. Calculate the remainder when h is divided by 50.
49
Let l(m) = 29*m**2 + 5*m + 24. Let p be l(-8). What is the remainder when p/30*(-27)/(-4) is divided by 106?
96
Suppose -3*a = -u + 2*a + 129, 5*u - 2*a - 760 = 0. Suppose -4*r = 2*j - u, 29 + 79 = 3*r - j. What is the remainder when 107 is divided by r?
33
Let u = 193 - -2964. Calculate the remainder when u is divided by 316.
313
Let y(z) = -44*z**2 - 23*z + 5. Let x(g) = 22*g**2 + 13*g - 3. Let q(b) = -7*x(b) - 4*y(b). Calculate the remainder when q(3) is divided by 53.
43
Suppose -4*r + 13*r - 1152 = 0. Let b = r + -110. What is the remainder when b is divided by 12?
6
Suppose -10*h - 10*h = -340. Suppose 5*t = -2*c + 25, 3*t - 32 + h = -5*c. What is the remainder when 36 is divided by t?
1
Suppose -1232 = -3*o + 3*x + 1342, -5*x = -2*o + 1713. Calculate the remainder when o is divided by 417.
25
Suppose 0 = 4*z - 9*z. Suppose z = 17*r - 21*r. Suppose r*h = 2*h - 108. Calculate the remainder when h is divided by 15.
9
Let z(h) = -h**3 - 7*h**2 + 37*h + 212. Calculate the remainder when 158 is divided by z(-9).
35
Suppose 382*l - 311*l = 264475. Calculate the remainder when l is divided by 48.
29
Let x = 73 - 36. Let v = 45 - 40. Suppose 0 = 4*f + f - v*k - 90, -2*k = 3*f - 64. What is the remainder when x is divided by f?
17
Suppose -4 = -2*w - 0. Let z be (1 + (-9)/6)*(w - 2). Suppose -18*t + 10*t + 456 = z. Calculate the remainder when t is divided by 6.
3
Let v = -5146 + 5182. What is the remainder when 2767 is divided by v?
31
Let h = -3 + 6. Suppose -3032 + 832 = -25*j. Suppose 4*o - j = r, h*o + 3*r = r + 77. Calculate the remainder when o is divided by 3.
2
Let g(i) = 10*i**3 + 162*i**2 + 25*i - 101. What is the remainder when 702 is divided by g(-16)?
9
Suppose 3203 = 9*a + 890. What is the remainder when a is divided by (-1)/(-1 + 3) - (-105)/2?
49
Suppose 18*f - 13*f = -g + 175, -21*g = 4*f - 140. What is the remainder when f is divided by 6?
5
Let z be (14 + (-1)/(-1))*2/6. Suppose -7 = -z*q + 133. Suppose i = -4*k, 2*k + 10 = -2*i + q. What is the remainder when 45 is divided by i?
9
Let t = -196 + 275. Suppose n - 13 = t. Suppose 2*u = 5*b - 391, b + u = 6*u + n. What is the remainder when b is divided by 26?
25
Suppose 4*w + 22*r - 2493 = 25*r, -3*w - 3*r = -1896. Calculate the remainder when w is divided by 41.
12
Let n(j) = -j**2 - 26*j + 772. What is the remainder when 357 is divided by n(17)?
29
Let g(v) = 17*v**2 - 10*v + 1. What is the remainder when g(4) is divided by 82?
69
Suppose 0 = -5*f - 33 + 8, -2*i = 3*f - 403. What is the remainder when i is divided by 109?
100
Let g(i) = -2*i**3 + 286*i**2 - 10*i + 1438. What is the remainder when 26255 is divided by g(143)?
7
Let k(r) be the first derivative of -r**3/3 + 9*r + 2. Calculate the remainder when (((-115)/(-10) + -4)/(-2))/((-9)/72) is divided by k(0).
3
Let y(g) = -350*g + 1906. Calculate the remainder when y(-12) is divided by 197.
196
Let c = -165 - -2996. What is the remainder when c is divided by 16?
15
Suppose 310726 - 168735 = 206*l - 232929. Calculate the remainder when l is divided by 41.
16
Let d(y) = y**3 - 40*y**2 - 157*y - 54. What is the remainder when d(44) is divided by 54?
26
Suppose 4*o + l = 17, o - 4*l - 2 = -19. Suppose -4*d = -5*q + 59, -3*q = 8*d - o*d - 28. Let s = 142 - 78. What is the remainder when s is divided by q?
9
Suppose 4*p = -2*o - 342, 4*o + 6*p + 684 = 2*p. What is the remainder when 24*2*o/(-38) is divided by 57?
45
Let y(f) = 2*f**2 + 87*f - 48. Let a be y(-36). Let u = a + 704. Calculate the remainder when u is divided by 24.
20
Suppose 3*u - 65 = 292. What is the remainder when u is divided by 41?
37
Suppose -73 - 95 = -8*t. Calculate the remainder when 158 is divided by t.
11
Calculate the remainder when 498 is divided by -50*((-2)/5 - 47/470).
23
Let z be 76/20 + 12/(-15). Let g(f) = f**3 - f**2 - 2*f - 7. Let v be g(z). What is the remainder when 22 is divided by (-7 + v)*2/((-8)/10)?
2
Suppose -10 = -4*q - 66. Calculate the remainder when ((-4)/(-3))/((-4)/(-66)) is divided by (-5 + 2/q)*35/(-10).
4
Calculate the remainder when 2200/(-2750)*(2 - 74/2) is divided by 17 + 2/(-2 - 0).
12
Let b be (10/20)/((-1)/8). Calculate the remainder when (-6 - b) + 116 + 1 is divided by 40.
35
Let g be (0 + -1)*3 + 325. Let o = g + -297. What is the remainder when o is divided by (-7*1)/((-1)/2)?
11
Calculate the remainder when (289499/11 - (-6)/(-66)) + -16 + 7 is divided by 23.
20
Suppose 11*y - 2 = -2. Suppose y*i = 10*i - 30. Let g = i - -45. What is the remainder when g is divided by 7?
6
Suppose 2*s = -18*s + 900. Let j = s - 32. Calculate the remainder when 38 is divided by j.
12
Suppose 2 = x - 39. Suppose -149 + x = -3*v. What is the remainder when (36 - (109 + -72))*((-215)/3 - 4/(-6)) is divided by v?
35
What is the remainder when 749 is divided by 208/117*18/4?
5
Let l(k) = 52*k + 60. Let a be l(-7). Calculate the remainder when 211 is divided by (-16144)/a + (-2)/19.
52
Suppose 2*u + 3*g - 247 = 0, -9*u - 3*g + 366 = -6*u. What is the remainder when 221 is divided by u?
102
What is the remainder when 468 is divided by 120/180*(-285)/(-2)?
88
Let r(y) = -2*y**2 - 19*y - 24. Let b be r(-8). Suppose 9*z - 39 + 3 = b. Calculate the remainder when 10 is divided by z.
2
Suppose 0 = 8*o - 1788 + 1580. Calculate the remainder when 5978 is divided by o.
24
Let x be ((-72)/(-45) - 2) + (-34)/(-10). Suppose 3*p + v - 7 = 38, -4*p - x*v + 60 = 0. What is the remainder when 24 is divided by p?
9
Let u = -4105 - -7664. Calculate the remainder when u is divided by 36.
31
Let v(n) = -4*n + 25. Let h be v(0). Suppose -13 = -w - h. What is the remainder when 66 is divided by 3/w + (-685)/(-20)?
32
Let s = -237 + 239. What is the remainder when 43 is divided by 45/s + -6 + 33/6?
21
Let c be (-10)/(-6 + 2 + 2). Suppose -74 = -5*p + p - 5*f, -74 = -c*p + 3*f. Let b(h) = 7*h**3 + 2*h - 2. Calculate the remainder when p is divided by b(1).
2
Let c(g) = 18*g**2 - 5*g + 3. What is the remainder when 424 is divided by c(-1)?
8
Let n be 61/2 + (-5)/(-12 + 2). Let p = n - 15. What is the remainder when p is divided by 3?
1
Let m = 0 + 3. Suppose 0 = w - m*w + 194. Let k = -50442 + 50475. What is the r | {
"pile_set_name": "DM Mathematics"
} |
2 and give q.
2
Express 5*j**3 - 4*j**2 - 109 + 110 + 4*j**2 - j as s + p*j**2 + a*j**3 + q*j and give s.
1
Rearrange 3*h - 2 + h**4 + 3*h**3 + h**4 - 4*h**4 to the form b*h**2 + t*h**3 + y + v*h**4 + u*h and give u.
3
Rearrange 2*j**4 + 6*j**3 - 1 + 0*j**2 - 7*j**3 + 0*j**2 to o*j**3 + x*j**4 + k*j**2 + z + i*j and give o.
-1
Express (-28 - 20 + 17)*(-1 + 3 + 0)*(4*p + 0*p - 3*p)*(-2*p**2 + p**2 - p**2) as a*p**3 + c*p + q*p**2 + u and give u.
0
Express (-4*l + 2*l + l)*(-1 + 2 - 4)*((2*l - l + l)*(-4 + 2*l + 4) + 3*l**2 + 4*l**2 - 5*l**2) in the form j + p*l**3 + b*l + i*l**2 and give p.
18
Rearrange -n + 19 - 19 - 19*n to the form h*n + m and give m.
0
Rearrange (0 - 3 + 0)*(-4 + d + 4)*(d - 3*d + 0*d) to the form n*d**2 + z*d + p and give n.
6
Rearrange 17 - 35 - 3*u + 18 - 5*u**2 + 2*u**3 to the form q*u + k*u**3 + i*u**2 + j and give k.
2
Express -3*s + 3*s**2 + 7*s**2 - 4*s**2 + s**2 in the form w + z*s**2 + v*s and give z.
7
Express (18*a + 79 - 79)*(3*a**3 - a**3 - 5*a**3) in the form i*a**3 + p*a**2 + c*a**4 + z + t*a and give c.
-54
Express -5 - 63*h + 5 in the form o*h + a and give o.
-63
Rearrange (-2*s**3 + 3*s**3 + s**3)*(3 + 23 + 12 + 1) to the form x*s + h + w*s**2 + j*s**3 and give j.
78
Express 5*j + 10*j + 5*j as w*j + k and give k.
0
Rearrange (2 + 0 + 1)*(5*j + 0*j + 0*j + (5 + 0 - 3)*(2*j + 0*j + 0*j)) to the form q*j + g and give q.
27
Rearrange (135*u - 67*u**4 - 135*u)*(2 - 6 + 3) to the form i*u**3 + b*u**2 + x*u**4 + w + c*u and give x.
67
Express 11*t**3 - 5*t + t**2 + 15*t**3 - 28*t**3 + 2 as a*t**3 + c*t**2 + d*t + z and give d.
-5
Express -2 + 3*g - 6*g**3 + 6*g**3 - 4*g + g**3 in the form p*g + m*g**3 + z + t*g**2 and give p.
-1
Express 201 - 201 - 184*h in the form t*h + s and give t.
-184
Rearrange (3 - 3 - 8*h)*(3 - 2*h**2 - 3) - 3*h - 5*h**3 + 3*h to v*h**3 + p + t*h + z*h**2 and give v.
11
Express -3 + 68*v**3 + 1 - 63*v**3 + 2*v in the form o*v**3 + w*v**2 + n + x*v and give x.
2
Express -4*c**2 - 3*c**4 + 9*c**2 + c**3 + 4*c**4 in the form o + a*c**4 + z*c**3 + p*c + r*c**2 and give a.
1
Express x**3 + 5*x**3 - 7*x**3 + x**4 - 4 - x**3 - x**2 as c*x + b*x**2 + f + p*x**3 + t*x**4 and give t.
1
Express 11*u**3 + u - 5*u + 2*u + 2*u**3 as r*u**3 + j + g*u**2 + c*u and give r.
13
Express (0*y - y + 0*y)*(-2*y + y + 3*y) + 12*y**2 - 8*y**2 - 11*y**2 in the form v*y**2 + w + n*y and give n.
0
Express y**2 + 0*y**2 - 4*y**2 as m*y**2 + a*y + k and give m.
-3
Rearrange -10 - 5*n - 23 + 3*n - 2*n**2 - 15 to t*n**2 + v*n + b and give t.
-2
Rearrange 3 - 34*c**3 - c**4 + 32*c**3 + 2*c - 5 to the form v*c**2 + x*c + u*c**3 + w + j*c**4 and give j.
-1
Rearrange -118*d - 9 - 4 + 122*d to b + y*d and give b.
-13
Express (4 - 4 + l)*(3 - 2 + 0) - 3*l + 5*l - 4*l - 44*l - 74*l + 27*l - 3 + 3 - 2*l as u*l + h and give u.
-94
Rearrange 3*c**2 + 0*c**2 - c**4 + 21 - 24 to j*c**2 + k + y*c**3 + s*c + d*c**4 and give d.
-1
Rearrange 134*o - 9 - 137*o + 11 + 4*o**2 to h*o**2 + c + b*o and give h.
4
Rearrange 2*l**2 + 2*l**3 + l + 16*l**3 - 9*l**3 to j*l**3 + m + v*l**2 + h*l and give j.
9
Rearrange 3*r**2 + 0*r**2 - 2*r**2 + (24*r - 45 + 45)*(0*r - 3*r + 2*r) to k + t*r + z*r**2 and give z.
-23
Rearrange (0 + c + 0)*(-26 + 9 + 13)*(2 - 1 - 2) to the form x*c + a and give x.
4
Express 168*t - 168*t + 31*t**2 in the form n*t**2 + i*t + h and give n.
31
Rearrange (0*l + l - 2*l)*(-1 + 2*l**2 + 1) + 4*l**3 + 0*l**3 - 3*l**3 + (0*l + l**2 + 0*l)*(-120 + 120 - 3*l) to o*l**2 + t*l + c*l**3 + n and give c.
-4
Express -4*i**3 + 11*i**3 - 4*i**3 - 3*i**2 as z*i**2 + u + m*i + r*i**3 and give z.
-3
Rearrange -f**2 - 13*f**4 + 2*f + 8*f**4 + 6*f**4 to a*f**4 + b + r*f**2 + z*f + m*f**3 and give r.
-1
Express (1 + d - 1)*(-132*d**2 - 303 + 471*d**2 + 303) as q*d**2 + o + u*d + x*d**3 and give x.
339
Express (-9*g**2 + 11 - 11)*(-4 - g + 5 - 2)*(1 - 1 - g) in the form c*g**3 + n*g**4 + y + v*g**2 + l*g and give c.
-9
Rearrange (-1 + 1 - 2*m)*(4 + 1 - 2)*(53 - 53 - 6*m**3) to the form u*m + n*m**3 + y + k*m**2 + r*m**4 and give r.
36
Express (-16*z**2 + 2*z - 329 + 329)*(z - z**2 - z) as h*z**4 + f*z**3 + b + c*z**2 + r*z and give h.
16
Express -a + 0*a + 21*a in the form u*a + b and give b.
0
Rearrange -6*p + 6*p - 2*p**2 + 6*p**4 + p**4 + 2*p**3 to x*p**3 + o*p**2 + h*p + n*p**4 + j and give o.
-2
Express l + 7*l - l + 6*l in the form d*l + o and give d.
13
Rearrange g**4 + 7*g**2 + 1 + 38*g - 38*g to d*g**3 + o*g**2 + p + u*g**4 + x*g and give x.
0
Express -7 + 5 - 32*f + 2 as c*f + b and give c.
-32
Express (-107*a**2 + 324*a**2 - 131*a**2)*(-a + 1 - 1) - 8 + 8 - a**3 as g*a + z*a**2 + n + j*a**3 and give j.
-87
Rearrange 2*m + 3*m - 3*m - 2*m**4 + 2*m**3 to c + b*m + j*m**2 + u*m**4 + i*m**3 and give b.
2
Express -14 + 15 + 2*o**3 + 0*o**2 + 0*o**2 - 5*o as d*o**3 + i + t*o + v*o**2 and give d.
2
Express 2*m + 3*m**4 - 3*m - 6*m**2 - 2 - m as z*m**3 + g + y*m**2 + l*m + d*m**4 and give l.
-2
Rearrange (0 - 3 + 0)*(2*g**2 - 2*g**2 + 2*g**2)*(9 + 0 + 1) to the form f*g**2 + o*g + l and give f.
-60
Express 12*i + 0*i - 4*i + 5*i as g*i + b and give g.
13
Rearrange (j**4 - j**4 - j**4)*(-3 + 2 + 3) - 21*j**3 - 2*j**4 + 22*j**3 + 37*j**3 to q + i*j**4 + n*j + c*j**3 + g*j**2 and give i.
-4
Express (-16*h - 8*h**2 + 16*h)*(5*h - 6*h + 6*h + 5*h) in the form u*h**3 + n*h**2 + m*h + b and give u.
-80
Rearrange -7 + 1 - 69*k + 6 to the form y + s*k and give s.
-69
Express 0 - 1 + k**2 - 7 - 4*k**2 in the form t*k**2 + n + l*k and give t.
-3
Rearrange 3 - t**3 + 2 + 2*t - 1309*t**4 + 2*t**2 - 4*t + 1308*t**4 to l + z*t + s*t**3 + i*t**4 + c*t**2 and give s.
-1
Express (7*u**3 - 10*u**2 + 10*u**2)*(0 + 6 - 5 + 12*u) + 2*u - u**4 - 2*u in the form b*u**2 + n + m*u**4 + h*u + j*u**3 and give j.
7
Express (3*b - b - b)*(2*b - 7*b - 2*b) - b**2 - 2*b + 2*b + (2*b + 0*b - 3*b)*(5*b - 2*b - 9*b) as i*b**2 + a*b + f and give a.
0
Rearrange (131*m - 43*m**2 - 131*m)*(-2 + 2 - 2*m) to f*m**3 + d*m + b + z*m**2 and give f.
86
Express (0*c + 3*c - c)*(c**2 + c**2 - 3*c**2) + 2*c**2 - 2*c**2 + 3*c**3 + 6*c**3 + 0*c**3 - 4*c**3 as k + d*c**3 + r*c**2 + j*c and give d.
3
Express -88*d + 29*d + 37*d + (-6*d + 3*d + d)*(3 - 2 + 1) in the form n*d + f and give n.
-26
Rearrange 3*g + 4*g + 8*g + 3 - 6*g to the form f*g + s and give f.
9
Rearrange (0*p + 4*p - 3*p)*(1 + 2*p - 1)*(3*p - 2*p - 2*p) - 2 - 2*p**3 + 2 - p + 2*p**3 + p to the form f*p + n*p**2 + b*p**3 + a and give n.
0
Rearrange 2 + 2*t - 5*t**4 + 0*t + 2*t**2 - 2*t to y + d*t + a*t**2 + q*t**3 + m*t**4 and give y.
2
Express 0*q**2 - 2*q**2 - 6 - 2*q**2 + 5*q**2 in the form v*q + r*q**2 + a and give a.
-6
Rearrange -4*q**4 - 4*q**4 - q**4 - 14*q - 1 + 8*q**4 to s*q**3 + r*q**2 + w*q**4 + o*q + k and give k.
-1
Rearrange 5*y - 2*y**2 - 3*y**3 + 2*y**4 - 2 + 4*y**3 - 4*y - 2*y**3 to the form b + s*y + g*y**3 + t*y**4 + m*y**2 and give b.
-2
Express -109*o + 88 - 88 as b*o + f and give b.
-109
Express 4 + 122*q + 38 - 120*q as x + o*q and give o.
2
Express (2 - 2 + 2*g)*(-2 + 0 + 0) - 6*g + 2*g + 6 - 5 + (2 - 1 - 3)*(2*g + g - g) - 1 + 1 - g as z + i*g and give z.
1
Rearrange -1 + 1 + 2*x**3 + (-3*x - 1 + 1)*(x**2 + 3*x**2 - x**2) to the form l*x + c*x**2 + a + m*x**3 and give m.
-7
Express a**2 + 2*a**2 - 1 + 5 - 2 in the form h*a + w*a**2 + o and give o.
2
Express 2*s**3 - 4*s**3 + s**4 + 0*s**3 - 2*s**4 - 3 in the form r*s**2 + u*s + t*s**3 + z*s**4 + h and give z.
-1
Rearrange -12*b**3 + 2*b**3 + 12*b**3 + (b - 3*b + b)*(-b**2 + 6*b**2 - 2*b**2) + 4*b**3 + 2*b**3 - 4*b**3 to the form s + m*b + v*b**2 + g*b**3 and give g.
1
Rearrange (-r - 3*r**3 + 7017 + r**3 - 7116)*(-5*r - 2*r + 6*r) to the form j*r + g*r**4 + n + c*r**3 + k*r**2 and give k.
1
Rearrange -4*l**3 + l**3 + l**3 + (-3*l**3 + l**3 + 0*l**3)*(0 - 4 + 2) + (-2*l**2 + 8*l**2 - 2*l**2)*(0*l + l - 3*l) to f*l + y + a*l**2 + i*l**3 and give i.
-6
Rearrange -1 + 7*h + 1 - 9*h to the form p + s*h and give p.
0
Rearrange (s**2 - 5*s**2 + 3*s**2)*(-1 - 2 + 5) + 3*s**2 - 3*s**2 - 2*s**2 + (s - s + 2*s**2)*(-244 - 66 - 39) to h + a*s**2 + x*s and give a.
-702
Rearrange -15*h + 12*h + 5*h + 18 to a*h + b and give a.
2
Rearrange (-32*h - 20*h + 57*h)*(-1 - 2 + 5) + (3 - 2 + 1)*(2*h + 1 - 1) - 2*h - 3*h + 7*h + 2*h + 2 - 2 to the form r + f*h and | {
"pile_set_name": "DM Mathematics"
} |
)/12*a/2. Suppose -3*r - r + o = 0. Calculate the remainder when r is divided by 2.
1
Suppose 16 = 2*z + 3*s - 4, -2*s = z - 12. Suppose -4*k + h + 236 = -247, -z*k = 2*h - 498. What is the remainder when k is divided by 41?
40
Let m(z) = z**3 + 8*z**2 - 11*z - 5. Let v = 8 - 17. Let f = 1 - -7. Calculate the remainder when m(v) is divided by f.
5
Let d(u) = u**3 - 7*u**2 + 22*u + 1. Calculate the remainder when d(7) is divided by 8.
3
Let h(t) = t**2 - 10*t - 113. Calculate the remainder when 30 is divided by h(17).
0
Let d(k) = 3*k**2 - 63*k - 10. Calculate the remainder when d(22) is divided by 35.
21
Let k(h) be the third derivative of -h**4/12 + 7*h**3 + 9*h**2. Calculate the remainder when k(-10) is divided by 21.
20
Let d be (-82)/((-50)/(-15) - 4). Suppose 9 - d = -u. What is the remainder when u is divided by 29?
27
Suppose 0 = -2*m - 4*o + 164, 4*o = 2*m - 0*o - 172. Suppose -61 = -3*v - 9*p + 11*p, p - 12 = -v. What is the remainder when m is divided by v?
16
Suppose -4 = -u + 15. What is the remainder when ((-30)/(-3 + 28/10))/2 is divided by u?
18
Suppose w + 0*w = 3*t + 698, 3*t + 706 = -w. Let r = -84 - t. What is the remainder when (-1 - (-5 + 1)) + r is divided by 39?
36
Let f(t) = 3*t + 29. Let z be f(-10). What is the remainder when 25 is divided by (8 - 9/(-3)) + z?
5
Let q(k) = -k**2 + 20*k - 86. Let g be q(13). Let c(r) = 2*r**2 + 7*r - 1 + 0*r - r**3 + 2*r**2. Calculate the remainder when 15 is divided by c(g).
6
Suppose 0 = -3*a - a + 2*w + 22, 3*a - 4*w - 14 = 0. Suppose 0 = -a*n + 134 - 50. What is the remainder when n is divided by 3?
2
Let t = 645 + -612. What is the remainder when 65 is divided by t?
32
Suppose 0 = 5*n - 10 - 0. Suppose -4*h - l + 257 = 0, -h - n*l = l - 56. Calculate the remainder when h is divided by 17.
14
Suppose 2*o + 124 = 3*y + 766, -4*o + 1268 = 2*y. Calculate the remainder when o is divided by 108.
102
Let u = 8 + -1. Calculate the remainder when u is divided by (-2)/(-3) + 754/174.
2
Let t = -1052 - -1242. What is the remainder when t is divided by 18?
10
Let n(d) be the first derivative of -5*d**2/2 - 4*d - 1. Calculate the remainder when 39 is divided by n(-5).
18
Suppose -h + 2*v = -3*v - 38, -4*v - 41 = -h. Suppose 0 = -h*f + 49*f + 52. Calculate the remainder when 38 is divided by f.
12
Suppose 0 = -2*y + 3*w + 174, 5*y - 3*y + 3*w - 150 = 0. Calculate the remainder when y is divided by 7.
4
Suppose -4*y = -4*s + 4, -4*y = -2*s - 4 - 2. Suppose -y*l + 36 + 288 = 0. Calculate the remainder when l is divided by 6.
3
Let j = 1265 + -897. What is the remainder when j is divided by 94?
86
Let p(l) = -l - 4. Suppose 3*u = 2*k - k - 32, -4*u = -4*k + 32. Calculate the remainder when ((-2)/3)/(4/(-138)) is divided by p(u).
7
Suppose -74*v - 45*v + 2499 = 0. What is the remainder when 146 is divided by v?
20
Suppose -r - d - 1 = 0, d = 4*r - 2 + 1. Suppose -4*l = 2*x, -2*x + r*l + 12 = -2*l. Calculate the remainder when 38 is divided by x.
2
Let d = -298 + 535. Calculate the remainder when d is divided by 14.
13
Let a(l) = l**2 - 40*l + 284. Calculate the remainder when a(33) is divided by 18.
17
Suppose -m + 30 - 118 = 0. What is the remainder when (-27)/12*m/3 is divided by 23?
20
Let l(x) = -113*x**3 - x**2 - 2*x - 2. Let o be l(-1). Let a = -23 + o. What is the remainder when a is divided by 18?
17
Let u(t) = t**3 + 10*t**2 + 7*t - 14. Let a be u(-7). Calculate the remainder when 2 + -2*a/(-4) is divided by 15.
14
Suppose 0 = 2*s + 4*x - 188, 5*s - 5 = -2*x + 457. What is the remainder when s is divided by 14?
8
Let l = -5 - -9. Suppose 17*z - 3*i + 89 = 21*z, 37 = 2*z - i. What is the remainder when z is divided by 43/l + (-2)/(-8)?
9
Let r = 228 + -92. Calculate the remainder when r is divided by 32/5 + (-58)/145 - -8.
10
Let n = -5 + 5. Suppose n = -3*y + 10 + 8. Suppose 197 - 97 = 5*c. What is the remainder when c is divided by y?
2
Let q(t) = 4*t - 6. Suppose 5*i + 4*o - 332 + 261 = 0, -5*o = -5*i + 125. What is the remainder when i is divided by q(4)?
9
Suppose 48 = 5*i - 507. Let s = i - 47. What is the remainder when s is divided by 33?
31
Suppose -25*w - 16 = -21*w. Let s be w/(-18) + (-770)/63. Calculate the remainder when (-590)/(-15) + 4/s is divided by 10.
9
Let t(m) = -2*m**2 - 118*m - 865. Calculate the remainder when t(-49) is divided by (116/(-6))/(4/(-6)).
28
Let y = 21 + 2. Let n(p) = -7*p - 2. What is the remainder when y is divided by n(-2)?
11
Let p be (-1 - 43)*6/(-8). Suppose 2*i = p + 5. Calculate the remainder when (56/(-6))/((-1)/6) is divided by i.
18
What is the remainder when (-6 - (-56)/5)*(2 + 8) is divided by (-6)/(-15) - (-212)/20?
8
Let i = 151 - 148. What is the remainder when 50 is divided by i?
2
Let z = 51 + -26. Let t(g) = -2*g**2 - g + 8. Let k(n) = -2*n**2 - 2*n + 7. Let v(p) = -4*k(p) + 3*t(p). Calculate the remainder when v(4) is divided by z.
23
Suppose -6*c + 30 = 9*c. Suppose 9*u - 5*f - 34 = 7*u, -40 = -3*u + c*f. Let s(b) = 5*b - 7. Calculate the remainder when s(6) is divided by u.
11
Suppose 2 = -4*h - 3*a + 547, -5*h = a - 684. Suppose -9*w - 56 = -11*w. Calculate the remainder when h is divided by w.
25
Let g be 1*20*((-46)/(-10) - 5). Let n = 40 - g. What is the remainder when n is divided by 17?
14
Let d be (-2 + -2)*(-2)/4. Suppose -d*q + 76 = -0. Suppose -2*t + 50 = 3*t. What is the remainder when q is divided by t?
8
Let s = -735 + 869. What is the remainder when 931 is divided by s?
127
Suppose -5*k + 2*b = -686, 3*k + 4*b - 457 = -61. Let z be (1/2)/(2/k). Suppose 0 = 3*d - 8 - z. What is the remainder when d is divided by 8?
6
Let o be (-4)/12 - 43/(-3). Let h = o + -19. Calculate the remainder when 14 + 2/1 + h is divided by 4.
3
Suppose -7*o + 10*o = 1146. Calculate the remainder when o is divided by 77.
74
Let x be -10*(12/(-5) + 0). Suppose -3*u - 6 = -x. Let z(g) = 11*g + 33. What is the remainder when z(-2) is divided by u?
5
Let m(b) = 6*b + 3. What is the remainder when (-130)/1*(2/(-5))/1 is divided by m(4)?
25
Let j(u) = 3*u**2 - 4*u + 3. Calculate the remainder when j(-6) is divided by 47.
41
Let b = 2260 - 1906. Calculate the remainder when b is divided by 17.
14
Let y(r) = -13*r + 66. What is the remainder when 80 is divided by y(4)?
10
Let z(q) = -2*q - 8. Suppose 0 = -4*p + 3*p + 13. Suppose -11 = -p*o + 12*o. Calculate the remainder when o is divided by z(-7).
5
Suppose c - 4 = -17. Let z = c + 45. Suppose 0 = -5*w - 2*r + 63, -5*w + 2*r + 59 = 3*r. What is the remainder when z is divided by w?
10
Suppose 5*f + j = -j + 45, 3*f = j + 27. Let s(t) = 3*t - 4. Let b be s(f). Let q = -15 + b. What is the remainder when 13 is divided by q?
5
Let r(v) = -170*v - 210. What is the remainder when r(-3) is divided by 18?
12
Suppose 5*x - 145 = 235. Suppose -460 + x = -6*g. Calculate the remainder when g is divided by 22.
20
Let t = 2290 + -2081. What is the remainder when t is divided by 21?
20
Suppose -6*d = -0*d + 12. Let z = d - -8. Calculate the remainder when 33 is divided by z.
3
Suppose p + 5*a = 72, 18*p - 19*p + 2*a + 65 = 0. Let u(o) = 7*o. Calculate the remainder when p is divided by u(2).
11
Calculate the remainder when 5/((-2)/(-10)*(-14)/(-42)) is divided by 26.
23
Suppose -141 = -4*q + x, 54*q + 72 = 56*q - 2*x. Calculate the remainder when 148 is divided by q.
8
Let y = 78 + -23. Let d = 0 - 15. What is the remainder when 20 is divided by (y/d - -4)*33?
9
Suppose -5*i = 2*x + 52, 0 = 2*x - 4*i - 11 + 81. Let l(v) = 3*v**2 - 2*v + 13. Let m be l(3). Let s = m + x. What is the remainder when 13 is divided by s?
1
Let b = 268 + -44. What is the remainder when b is divided by 21?
14
Let i(u) be the third derivative of -5*u**4/2 - u**2. Let a be i(-1). Suppose -8 - a = -4*z. Calculate the remainder when 50 is divided by z.
16
Suppose -d + 5*r = 0, -4*d - 2*r = r. Suppose -3*n = -d*n - 81. Let c = n + -19. What is the remainder when 21 is divided by c?
5
Suppose -2*d + 7*d - 45 = 0. Let m = d - 3. Let p = -332 - -360. Calculate the remainder when p is divided by m.
4
Suppose -15*b = -597 - 1218. What is the remainder when b is divided by 104?
17
Suppose -119 = -3*p - 4*u, 3*p - 127 = -5*u + 9*u. What is the remainder when 64 is divided by p?
23
Suppose -5*w = 48 - 208. Let l = 275 + -181. Calculate the remai | {
"pile_set_name": "DM Mathematics"
} |
n millimeters?
0.00000940856
What is 70268.26 micrometers in meters?
0.07026826
How many micrograms are there in 72066.15kg?
72066150000000
How many millilitres are there in eleven eighths of a litre?
1375
What is 47.66782 millilitres in litres?
0.04766782
Convert 209920.167us to days.
0.0000024296315625
What is 49/5 of a litre in millilitres?
9800
What is 380161.5 millennia in months?
4561938000
Convert 6.485601 nanograms to micrograms.
0.006485601
How many micrometers are there in three eighths of a centimeter?
3750
How many centuries are there in 7/2 of a millennium?
35
Convert 0.5883911 nanometers to millimeters.
0.0000005883911
Convert 67.53386um to meters.
0.00006753386
How many millilitres are there in 5/4 of a litre?
1250
What is 129545.4 litres in millilitres?
129545400
What is four sevenths of a week in hours?
96
How many meters are there in 9630.093 kilometers?
9630093
Convert 921.4295 centuries to months.
1105715.4
What is 1/10 of a kilogram in milligrams?
100000
What is twenty-seven halves of a litre in millilitres?
13500
What is fifteen quarters of a milligram in micrograms?
3750
Convert 3406.497 years to centuries.
34.06497
Convert 357.5552 millennia to years.
357555.2
How many micrometers are there in 7/8 of a millimeter?
875
What is three eighths of a kilometer in meters?
375
How many years are there in 3/10 of a millennium?
300
What is 339.0071 seconds in milliseconds?
339007.1
How many centuries are there in sixty-four fifths of a millennium?
128
How many grams are there in 4088.163 kilograms?
4088163
What is 1.90391ml in litres?
0.00190391
How many months are there in 499963.6 millennia?
5999563200
How many microseconds are there in 131617.7 hours?
473823720000000
How many seconds are there in 2/15 of a minute?
8
What is 6/5 of a microgram in nanograms?
1200
Convert 275754.8mg to nanograms.
275754800000
What is 1/5 of a litre in millilitres?
200
How many millennia are there in 199926.18 months?
16.660515
What is thirty-seven halves of a millimeter in micrometers?
18500
How many nanograms are there in 0.5313141 grams?
531314100
What is 9/10 of a century in months?
1080
What is 87.0866ng in milligrams?
0.0000870866
How many micrometers are there in thirty-four fifths of a millimeter?
6800
What is 346367.6 tonnes in micrograms?
346367600000000000
How many months are there in 1/24 of a millennium?
500
What is fourty-one halves of a day in hours?
492
How many nanoseconds are there in 40.07359 weeks?
24236507232000000
What is 7/3 of a day in hours?
56
Convert 39.89737 nanometers to meters.
0.00000003989737
How many years are there in 6/5 of a century?
120
How many months are there in 7.820306 decades?
938.43672
Convert 0.1955576t to kilograms.
195.5576
What is 1/4 of a millennium in months?
3000
What is 1088.884l in millilitres?
1088884
What is 799634.7 kilograms in micrograms?
799634700000000
What is 554108.1 kilograms in tonnes?
554.1081
What is 0.8410457t in milligrams?
841045700
What is 52.15066 meters in millimeters?
52150.66
How many microseconds are there in 6.330155 days?
546925392000
What is 96.65623 centuries in years?
9665.623
What is 3/5 of a century in years?
60
What is 18/5 of a centimeter in millimeters?
36
How many millilitres are there in 1897.157l?
1897157
How many nanometers are there in 2519.489 millimeters?
2519489000
How many millilitres are there in one quarter of a litre?
250
How many milligrams are there in 1/16 of a kilogram?
62500
How many kilometers are there in 528.1837 meters?
0.5281837
What is ninety-one quarters of a century in years?
2275
How many milligrams are there in one tenth of a kilogram?
100000
What is seven fifteenths of a week in minutes?
4704
What is 9499.11ml in litres?
9.49911
Convert 3.024308 weeks to milliseconds.
1829101478.4
What is 293991.1cm in millimeters?
2939911
Convert 563.6025 nanograms to micrograms.
0.5636025
How many milliseconds are there in 72.08894 minutes?
4325336.4
What is 0.4418321 centimeters in meters?
0.004418321
What is 0.1437555 decades in years?
1.437555
What is 1/10 of a kilogram in milligrams?
100000
What is 393.5563 litres in millilitres?
393556.3
How many hours are there in 5/24 of a day?
5
How many years are there in one fifth of a century?
20
How many millennia are there in 42.90258 decades?
0.4290258
How many milligrams are there in 17/2 of a gram?
8500
What is 6/25 of a meter in millimeters?
240
What is 74.86305 months in years?
6.2385875
How many kilometers are there in 791726.2 millimeters?
0.7917262
How many millilitres are there in twenty-one halves of a litre?
10500
Convert 3.751862 centimeters to micrometers.
37518.62
What is 3/10 of a week in minutes?
3024
What is 336662.8 weeks in microseconds?
203613661440000000
What is 5/4 of a litre in millilitres?
1250
Convert 491.3039 years to decades.
49.13039
What is 66.60177 millennia in centuries?
666.0177
What is one fifth of a litre in millilitres?
200
What is 11/8 of a kilogram in grams?
1375
How many centimeters are there in 4.49741mm?
0.449741
What is one quarter of a millennium in decades?
25
Convert 109.8816516 milliseconds to weeks.
0.000000181682625
How many minutes are there in 1.440936us?
0.0000000240156
How many kilometers are there in 112.4507 millimeters?
0.0001124507
How many millilitres are there in 7/8 of a litre?
875
What is 7/25 of a kilogram in grams?
280
How many grams are there in 5/4 of a kilogram?
1250
Convert 164863.7 litres to millilitres.
164863700
Convert 2817.701kg to grams.
2817701
Convert 606337.893 microseconds to weeks.
0.0000010025428125
How many kilograms are there in 3/8 of a tonne?
375
How many grams are there in 85.1909t?
85190900
Convert 72754.95cm to nanometers.
727549500000
How many millilitres are there in 0.6323264 litres?
632.3264
What is 6278.065 litres in millilitres?
6278065
How many months are there in 5/6 of a century?
1000
How many minutes are there in 22/9 of a week?
24640
What is seventeen quarters of a micrometer in nanometers?
4250
How many grams are there in 0.5236597 nanograms?
0.0000000005236597
Convert 9.126072 decades to centuries.
0.9126072
Convert 2432969.1s to hours.
675.82475
How many millilitres are there in 6/25 of a litre?
240
How many millilitres are there in 3/40 of a litre?
75
What is 16.43514l in millilitres?
16435.14
What is five quarters of a gram in milligrams?
1250
How many tonnes are there in 7.798013 kilograms?
0.007798013
What is 22/9 of a day in minutes?
3520
Convert 61334.7 tonnes to grams.
61334700000
What is 0.909269ml in litres?
0.000909269
What is 5116.565 millennia in centuries?
51165.65
How many nanoseconds are there in 28479.46 weeks?
17224377408000000000
What is 9/10 of a century in months?
1080
What is fifty-nine thirds of a hour in seconds?
70800
What is 7/2 of a kilogram in grams?
3500
What is 0.1159258 minutes in milliseconds?
6955.548
What is 153095.2 centimeters in kilometers?
1.530952
How many grams are there in 37/5 of a kilogram?
7400
Convert 76343.48 millennia to years.
76343480
What is 7/8 of a century in months?
1050
How many nanograms are there in seven quarters of a microgram?
1750
Convert 3688.018 litres to millilitres.
3688018
How many months are there in 45/4 of a decade?
1350
How many centimeters are there in 34.28149mm?
3.428149
What is 868433.7m in millimeters?
868433700
What is 0.0247607 weeks in seconds?
14975.27136
How many weeks are there in 11888748.27 nanoseconds?
0.000000019657321875
How many minutes are there in 23423.253 microseconds?
0.00039038755
Convert 357590.7g to milligrams.
357590700
How many millilitres are there in 591.8182l?
591818.2
What is 33/5 of a meter in millimeters?
6600
How many millilitres are there in eighteen fifths of a litre?
3600
What is 3571.82 meters in centimeters?
357182
What is 59/4 of a minute in seconds?
885
What is 354781.9 meters in millimeters?
354781900
What is five quarters of a millennium in decades?
125
What is 3/32 of a millimeter in nanometers?
93750
What is 5124.4kg in micrograms?
5124400000000
How many hours are there in 278468.13 minutes?
4641.1355
How many meters are there in 8.964789cm?
0.08964789
What is 52.15308 litres in millilitres?
52153.08
How many decades are there in 9285.101 centuries?
92851.01
What is 3.816901 centimeters in kil | {
"pile_set_name": "DM Mathematics"
} |
in -4, -1/4, w?
w
Let r = 16 - 23. Let y be (-1)/r - 54/84. What is the nearest to -1 in 2, -0.3, y?
y
Let s = -4.09 + 0.09. Let l = 1 + s. Which is the closest to -0.1? (a) 2/11 (b) -5 (c) l
a
Let q = -0.2 - -0.1. Let x = -80 + 84. Which is the closest to q? (a) 0.1 (b) -1 (c) x
a
Let a be ((-2)/3)/((-1)/3). Suppose 2 = -a*v - 0. Let g(s) = -s**3 + 14*s**2 - 13*s - 3. Let o be g(13). What is the nearest to v in 0.3, -0.3, o?
-0.3
Let h = -1 + 5. Let f = -1 - -0.95. Let x = f - -5.05. Which is the nearest to 1/3? (a) x (b) 1/3 (c) h
b
Let q be (0/(-3))/1*-1. Let l be q - -5 - 52/13. Which is the nearest to -2/7? (a) -3 (b) l (c) 5
b
Let r = 125.2 + -124. Which is the closest to r? (a) -0.4 (b) -0.3 (c) 1/4
c
Let k = 1.3 - 1.7. What is the nearest to 1/5 in k, 4, 5?
k
Let h = 1 + 3. Let f = -1.8 - -1.9. Let m be 0 + -2 - 5*-1. Which is the closest to f? (a) m (b) h (c) 1
c
Let u = -394.5 + 395. Suppose t + 5*i = 5 - 0, 0 = -3*t + 4*i - 4. What is the nearest to 0 in t, u, 5?
t
Let k(v) = v**2 + 2*v + 2. Let u be k(-2). Suppose o + 2 + u = 0. Which is the closest to -2/7? (a) o (b) 0.5 (c) -2
b
Let s = 7 - 12. Let r = 0.01 + 2.99. Suppose 0 = -5*c - 0*c - 15. What is the closest to -0.1 in c, s, r?
c
Let h = 0.4 + 0. What is the nearest to 2/7 in -2/11, 1/2, h?
h
Let y = -1.6 - -2. Let l = -16 + 14. What is the closest to 1/4 in y, l, -2/11?
y
Let i = -8.9 + 9. Let u = -6.4 - -7. Let g = u + 1.4. What is the closest to 0.1 in i, g, 0.4?
i
Let d(x) = x**3 + 15*x**2 + 2*x + 27. Let t be d(-15). Which is the nearest to 22? (a) -2/11 (b) -0.2 (c) t
a
Let g = 1/58 + -89/116. Let t = -1116/7085 + 2/545. Let h = 3 + -6. Which is the closest to -0.1? (a) h (b) g (c) t
c
Let b = -0.05 - -2.15. Let a = b - 2. Let i = 1 + -5. What is the closest to a in i, -2/5, 2?
-2/5
Let s = -9 - -9.2. Which is the closest to s? (a) -2 (b) 2 (c) -0.1
c
Let h = -3.11 + 0.11. Let p = 2 - 2.1. What is the nearest to h in 1/2, p, -1?
-1
Let u = -3103/15 + 207. What is the nearest to 1 in 0.02, 0.1, u?
u
Let o = -2 - 2. Let g = 9 + o. Let n = 0.3 + -0.1. Which is the nearest to 0.1? (a) g (b) -2/7 (c) n
c
Suppose 3*j - 4*p - 12 = 0, -4*p + 6*p = -2*j - 6. What is the closest to 0 in -0.03, j, 0.4?
j
Let j = -3 - -3.3. Let o = -178/473 - -24/43. What is the nearest to -1 in 0, o, j?
0
Let u = -6.84 - -7. Let w = u - -0.04. Let d = 1 - 0.6. Which is the closest to 2/3? (a) -0.3 (b) d (c) w
b
Let n = -262 + 261.7. Let r = 0.2 + -0.1. Which is the nearest to r? (a) n (b) -1/8 (c) 2/5
b
Let z be 3 - ((-116)/(-36))/1. Which is the closest to 14? (a) -0.5 (b) z (c) 4
c
Suppose -q + 2*q + 5*a = -11, 3*q = -3*a - 9. Let m be (-2)/q + 2 - -1. Let y = -2.8 - -3. What is the nearest to -0.1 in m, y, -3?
y
Let n = -26 + 27. What is the closest to n in -1/3, -4, -0.5?
-1/3
Let i = 0.3 + -0.1. Let k = -1822/45 + 82/45. Let x = 39 + k. Which is the closest to -1/4? (a) x (b) i (c) 1
b
Let i = -12 + 15.3. Let o = -0.7 - i. Which is the nearest to 0? (a) 5 (b) -0.3 (c) o
b
Suppose -3*q + 0*q + 6 = 0. Which is the nearest to 3? (a) -5 (b) q (c) -2
b
Suppose 2 = 2*n - 0. Suppose -n = 5*j + 19. Which is the closest to 2? (a) j (b) 1 (c) -5
b
Let g = 6.8 + -5.8. What is the closest to 0 in g, -2/5, 2?
-2/5
Let c = 0.15 + -0.05. Let k = -0.28 - 0.02. Let v = k + -0.2. What is the nearest to 0.4 in -2, c, v?
c
Let q = 9/5 - 13/10. Let p = -0.3 - 1.7. Let t = 12.3 - 12. Which is the nearest to q? (a) -3 (b) p (c) t
c
Let w = 7 + -5.9. Let u = -1 + w. Let m be (-9)/(-20) + 2/(-8). Which is the nearest to u? (a) 3/4 (b) -2 (c) m
c
Let o(n) = n - 4. Let l = 4 + 0. Let t be o(l). Which is the nearest to t? (a) -3 (b) 5 (c) 0.4
c
Let s = -16 + 15. Let l = -0.3 - 0.7. Which is the closest to s? (a) 1 (b) 2/11 (c) l
c
Suppose 3*q = -4*p + 28 + 30, 5*q + 3*p = 82. Suppose 0 = 4*g - t + 18, -t + 0*t + q = -3*g. Suppose -3*i - 8 = -11. What is the nearest to 1 in 1/10, g, i?
i
Let z = -0.8 + 1.1. Let v = 313/9 - 35. What is the closest to -2 in 2/5, v, z?
v
Let n be ((-86)/(-38) - 2)*12/30. Let g(z) = z. Let u be g(-2). Which is the nearest to u? (a) 4 (b) n (c) 1/9
b
Let n = 3 + -4. Let d = 0.27 + -0.57. What is the closest to -0.1 in 0.4, d, n?
d
Let y = -5.12 + 0.12. Which is the closest to 0? (a) -1/5 (b) 3 (c) y
a
Suppose 0 = -7*v + 4*v + 15. Let i(d) = d + 16. Let o be i(-21). Which is the nearest to -1? (a) v (b) -0.4 (c) o
b
Let v = 42 + -32. Suppose -2*u - 18 = -4*i + u, u = 2. Let y be (i/v)/((-3)/(-2)). Which is the closest to y? (a) 0 (b) -1 (c) 1
a
Let w = -5 + 4. Let o be w - (8/(-10))/1. What is the closest to -0.1 in 2, 0.5, o?
o
Let s = 6.2 + -6. What is the closest to 2 in -5, s, 2?
2
Let r = 0.5 + -0.4. Let v = -0.1 - -0.08. Let a = -0.02 - v. What is the closest to r in a, -1/2, -0.3?
a
Let g = -2.6 + 2.4. What is the nearest to g in -3, -1/7, -2?
-1/7
Let b = 18.1 - 18. What is the nearest to b in -2/3, 0.2, 0.3?
0.2
Let s = 53 + -54. Which is the closest to 3? (a) 5 (b) s (c) -4
a
Let o = 222 + -222. Let p = -0.1 + 3.1. Let z = p + -1. Which is the closest to o? (a) -5 (b) z (c) -0.4
c
Let i = -85.3 + 85. Which is the nearest to 0.2? (a) 2 (b) i (c) 1/25
c
Let a = 6.3 - 1.3. What is the nearest to -1/3 in 2, a, -1/2?
-1/2
Let p = 30 + -36. Let u = 0.14 - 6.14. Let b = p - u. What is the nearest to -0.1 in 3/5, -3, b?
b
Let w = -2.1 + 2. Let k(x) = x**2 - 10*x - 9. Let c(l) = -l**2 + 9*l + 8. Let a(z) = 6*c(z) + 5*k(z). Let i be a(4). What is the closest to w in 5, i, 2/5?
2/5
Let c = 5.7 - 6. Let z = 29.7 - 31. Let p = c - z. What is the nearest to 0 in 4, -0.4, p?
-0.4
Let z = -0.16 + 0.16. What is the closest to z in -0.1, 0.5, 0.2?
-0.1
Let a be 1/(-5) - 7809908/(-68265). Let m = a + 25/1517. Let x = 114 - m. What is the closest to -1 in -0.4, -0.2, x?
-0.4
Let s = 136 + -132. Let i(q) = q - 5. Let k be i(0). What is the nearest to 0.1 in s, 5, k?
s
Let f = -4 + 22. Let p = f + -17. Which is the closest to 0.1? (a) 2 (b) 3 (c) p
c
Let v be 15/12 + 2 + -3. Let w = -0.3 + -0.7. Which is the nearest to w? (a) v (b) 0.1 (c) -1
c
Suppose -y + 5 = -6*y. Let g = 3 + -2. Let j = 1/171 - -853/342. Which is the closest to g? (a) y (b) j (c) -0.4
c
Let q = -11 - -8. What is the closest to q in -1/3, 0.1, 0.4?
-1/3
Let d = 2 + 3. Suppose 4*x - 7 = -23. Let t = 6 - 13/2. Which is the nearest to t? (a) x (b) d (c) 1/3
c
Let n = 38/215 - -1/43. Suppose t + 0 = -5*f - 3, 5*f - 9 = 3*t. What is the closest to 1/5 in t, -1, n?
n
Let f = 0.1 - 0.4. Let i(o) = -3*o - 53. Let c be i(-16). What is the nearest to 0.1 in c, f, -3/8?
f
Let c = -0.8 + 0.7. What is the closest to c in 4, -4/3, 0.2?
0.2
Let o = 2.3 + -2.3. Which is the closest to o? (a) 1/4 (b) 0 (c) -2
b
Let n = -42 + 47. Which is the nearest to 2? (a) n (b) 2/13 (c) -2/13
b
Let j = -16 + 11. Suppose -2*q - 4*o + 8 = -4*q, 4*o - 16 = 0. What is the nearest to -0.1 in 3/8, j, q?
3/8
Let m = -0.2 - -0.1. Let b = m + 0.6. Let y = -6 + 6.4. What is the closest to -0.1 in b, 2/15, y?
2/15
Let i = -7 - -9. Which is the nearest to 0? (a) 4 (b) i (c) 1/2
c
Let k = -12.09 - -12. Let j = k + 0.09. Which is the closest to 1? (a) 4 (b) j (c) -0.5
b
Let u = 0.2 - 0.3. Let z = u - -0.2. Let s = 0.71 - 0.21. What is the nearest to 0 in 3, s, z?
z
Let v = -5.7 + 6. Let i = 0.2 - v. Let r = 16/7 - 2. What is the closest to r in -0.5, 2, i?
i
Let k = 87 + -433/5. Suppose 2*o = 4*i - 16, -i - o + 10 - 3 = 0. Which is the closest to k? (a) -0.5 (b) 0 (c) i
b
Let j = -15 - -11. Which is the closest to j? (a) -2 (b) -1 (c) 1
a
Let k be (-2)/5*(-11 - -1). Let c = k + -2. Let l be (-2)/(-8) - 3/2. What is the nearest to 1/4 in c, -1, l?
-1
Let o = 787/5 - 158. Let t(u) = -u + 6. Let f be t(6). Let r(z) = -z - 5. Let i be r(0). What is the closest to f in i, o, 0.2?
0.2
Let w = 0.5 - -5. Let n = w + -5. What is the nearest to -1 in 5, -4/3, n?
-4/3
Let s = 6.6 - 7. Let x = -0.02 - -0.02. Let j = 6.8 - 7. What is the nearest to x in -1/3, j, s?
j
Let z = 34 + -304/9. Which is the nearest to 1/2? (a) 2 (b) -2/15 (c) z
c
Suppose -2*c + 5*c = 0. What is the closest to 0 in -0.1, c, -1?
c
Suppose -4*v - 4 = 5*x - 0*v, x + 5*v + 5 = 0. Let b be (4 + - | {
"pile_set_name": "DM Mathematics"
} |
uence yx.
2/33
What is prob of sequence jmn when three letters picked without replacement from ccnnnnunmmucncmjhn?
7/1632
Two letters picked without replacement from phzlhwzhh. Give prob of sequence hw.
1/18
Calculate prob of sequence dd when two letters picked without replacement from vkdkvvvkkdvd.
1/22
Calculate prob of sequence yyy when three letters picked without replacement from hyhhhyyh.
1/56
What is prob of sequence kd when two letters picked without replacement from blpkdhlb?
1/56
Three letters picked without replacement from {q: 3, u: 7, s: 2, x: 3, n: 3}. What is prob of sequence nux?
7/544
Calculate prob of sequence tt when two letters picked without replacement from {t: 4, f: 6}.
2/15
Three letters picked without replacement from olgoolglololl. What is prob of sequence lol?
25/286
Calculate prob of sequence gll when three letters picked without replacement from gglglll.
6/35
What is prob of sequence etn when three letters picked without replacement from {d: 1, e: 1, g: 1, n: 1, t: 1}?
1/60
Calculate prob of sequence gemm when four letters picked without replacement from {g: 2, m: 5, u: 2, k: 8, p: 2, e: 1}.
1/2907
Three letters picked without replacement from uttttntttnttttttd. What is prob of sequence dnn?
1/2040
Calculate prob of sequence jx when two letters picked without replacement from hiiiiijhiiiixihhiih.
1/342
Two letters picked without replacement from {j: 3, m: 2, p: 4, k: 1, a: 2}. What is prob of sequence mj?
1/22
Two letters picked without replacement from hahhhhhhhhahahhh. What is prob of sequence ha?
13/80
Four letters picked without replacement from lllllylyl. Give prob of sequence llyl.
5/36
What is prob of sequence ebbb when four letters picked without replacement from {b: 3, e: 3}?
1/20
Three letters picked without replacement from {e: 5, x: 5, r: 1}. What is prob of sequence rxe?
5/198
Calculate prob of sequence vnr when three letters picked without replacement from nnxrcvrcnncxnrnr.
1/140
Two letters picked without replacement from {f: 4, w: 2}. What is prob of sequence ww?
1/15
What is prob of sequence oo when two letters picked without replacement from ooukuuouuokk?
1/11
Calculate prob of sequence oc when two letters picked without replacement from {p: 5, c: 8, o: 2, q: 4}.
8/171
Two letters picked without replacement from adkkd. What is prob of sequence dd?
1/10
What is prob of sequence yu when two letters picked without replacement from buy?
1/6
What is prob of sequence vvrr when four letters picked without replacement from vvrvvdrddd?
1/210
Calculate prob of sequence df when two letters picked without replacement from {m: 3, d: 1, f: 1}.
1/20
Calculate prob of sequence hhz when three letters picked without replacement from {h: 2, z: 1}.
1/3
Four letters picked without replacement from {b: 7, h: 9}. What is prob of sequence hhhb?
21/260
Two letters picked without replacement from {x: 5, d: 2, u: 1, i: 1, y: 8}. What is prob of sequence ud?
1/136
What is prob of sequence gqg when three letters picked without replacement from gdggdgq?
2/35
What is prob of sequence hns when three letters picked without replacement from ccsssnhhschscsnccscn?
7/760
Four letters picked without replacement from {z: 2, k: 1, x: 2, h: 1}. What is prob of sequence xxkh?
1/180
Four letters picked without replacement from {o: 13, b: 5}. What is prob of sequence boob?
13/306
What is prob of sequence cczz when four letters picked without replacement from zccz?
1/6
Four letters picked without replacement from twwwwwwwwwwwwwwwwwtw. What is prob of sequence twtw?
1/190
What is prob of sequence gj when two letters picked without replacement from {j: 1, g: 4, v: 10, b: 5}?
1/95
What is prob of sequence qjg when three letters picked without replacement from {j: 8, g: 5, q: 4}?
2/51
Three letters picked without replacement from {d: 2, n: 7, y: 1, s: 3, i: 1, e: 3}. What is prob of sequence nde?
7/680
Three letters picked without replacement from {y: 1, g: 3, d: 1, o: 1, f: 4, w: 4}. Give prob of sequence wdy.
1/546
What is prob of sequence qzz when three letters picked without replacement from zqqzz?
1/5
Two letters picked without replacement from {s: 2, z: 1, m: 1, q: 1}. Give prob of sequence sz.
1/10
What is prob of sequence dd when two letters picked without replacement from {z: 1, t: 2, i: 4, s: 4, d: 7, n: 2}?
21/190
Two letters picked without replacement from ycyefae. What is prob of sequence yc?
1/21
Two letters picked without replacement from ghpkxlkg. Give prob of sequence xp.
1/56
Two letters picked without replacement from zzyzhyyzyzz. What is prob of sequence zy?
12/55
Two letters picked without replacement from cpplpgbglbqqcbb. What is prob of sequence cg?
2/105
Two letters picked without replacement from kiikikii. Give prob of sequence kk.
3/28
Calculate prob of sequence ejej when four letters picked without replacement from {j: 7, e: 4}.
7/110
Calculate prob of sequence ggn when three letters picked without replacement from {n: 4, f: 8, g: 2}.
1/273
What is prob of sequence zzjm when four letters picked without replacement from zjjjjmjzzjzm?
2/165
Calculate prob of sequence cu when two letters picked without replacement from dcddcuddcg.
1/30
Calculate prob of sequence ua when two letters picked without replacement from maxaaxxxaaxxaaaxu.
1/34
Four letters picked without replacement from jtjtjrjrtrjjtjtr. Give prob of sequence tttt.
1/364
Calculate prob of sequence rrj when three letters picked without replacement from bjbrbbbbbbrbbjrbbrr.
20/2907
What is prob of sequence dqq when three letters picked without replacement from ddddqddddqdd?
1/66
Calculate prob of sequence nd when two letters picked without replacement from bmaanbdaadaba.
1/78
Three letters picked without replacement from axqmaqammxxmaxaxm. Give prob of sequence xqm.
5/408
Three letters picked without replacement from {e: 2, o: 6}. What is prob of sequence eoe?
1/28
Four letters picked without replacement from {i: 1, r: 1, d: 1, x: 1, u: 3}. What is prob of sequence irud?
1/280
What is prob of sequence ds when two letters picked without replacement from hpzsppphdppzpphk?
1/240
Three letters picked without replacement from agangfrgfngrggnkan. What is prob of sequence gfr?
1/204
What is prob of sequence sxx when three letters picked without replacement from xsxp?
1/12
Two letters picked without replacement from {o: 8, u: 2}. Give prob of sequence oo.
28/45
Four letters picked without replacement from {k: 7, n: 1, b: 8, y: 4}. Give prob of sequence kbkn.
14/4845
Four letters picked without replacement from kkkggg. Give prob of sequence kkkg.
1/20
Three letters picked without replacement from hhonhnnn. Give prob of sequence non.
1/28
Calculate prob of sequence ttbe when four letters picked without replacement from {e: 6, t: 3, x: 2, b: 2}.
3/715
Four letters picked without replacement from {z: 9}. Give prob of sequence zzzz.
1
Two letters picked without replacement from vzrbzzvrvzvrvvrvzrv. Give prob of sequence vb.
4/171
Calculate prob of sequence www when three letters picked without replacement from iiwiiiww.
1/56
Three letters picked without replacement from ffqfqfqffqfqqfqqqf. Give prob of sequence fqq.
9/68
What is prob of sequence ee when two letters picked without replacement from eeeeqeeqeqqqeeqeeee?
26/57
Two letters picked without replacement from tttyyym. Give prob of sequence mt.
1/14
Calculate prob of sequence id when two letters picked without replacement from {i: 1, a: 6, s: 1, d: 9}.
9/272
Calculate prob of sequence cw when two letters picked without replacement from {w: 8, c: 3}.
12/55
Calculate prob of sequence nnju when four letters picked without replacement from {y: 4, n: 4, j: 1, u: 2, g: 1, v: 2}.
1/1001
Four letters picked without replacement from {d: 5, r: 3, e: 3, p: 2}. Give prob of sequence eded.
1/143
Four letters picked without replacement from wjwwwwwwwwjwwdjjjwww. What is prob of sequence wwdj?
91/11628
What is prob of sequence bis when three letters picked without replacement from sbissbib?
3/56
What is prob of sequence xww when three letters picked without replacement from {g: 1, x: 9, w: 10}?
9/76
Two letters picked without replacement from {r: 3, a: 11}. What is prob of sequence aa?
55/91
What is prob of sequence lplw when fou | {
"pile_set_name": "DM Mathematics"
} |
p(l) = -2*l + l - k*l. Let r(c) = c. Give p(r(s)).
-3*s
Let u(z) be the third derivative of 3*z**5/20 - 30*z**2. Let j(p) = -p**2. Give j(u(i)).
-81*i**4
Let w(n) be the third derivative of 7*n**5/60 + 2*n**2. Let t(r) = -3*r + 2*r - r - 3*r + 5 - r**2. Let y(a) = a - 1. Let p(d) = t(d) + 5*y(d). What is w(p(m))?
7*m**4
Let c(f) = f. Let t(q) = -165*q**2. Calculate c(t(z)).
-165*z**2
Let d(q) = 0*q**2 + 0*q**2 - 3*q**2 + q**2. Let h(f) = 3*f**2 - 4 + 4. What is h(d(j))?
12*j**4
Let l(v) = -v**2. Let x(z) = -2*z + 4. Let k be x(3). Let c be (-3)/(-6)*(8 + k). Let o(a) = c*a + 6*a - 5*a. Determine o(l(n)).
-4*n**2
Let h(a) = -2*a - 14. Let r(i) = -52*i**2 + 3. Calculate r(h(t)).
-208*t**2 - 2912*t - 10189
Let w(h) = 46*h**2. Let v(s) = -3*s**2. Calculate v(w(o)).
-6348*o**4
Let l(k) be the third derivative of 11*k**5/60 + 5*k**2. Let v(n) = 2*n. Calculate l(v(q)).
44*q**2
Let t(v) = 4*v + 7. Let b(o) = -9*o**2. What is b(t(f))?
-144*f**2 - 504*f - 441
Let a(p) be the second derivative of p**4/4 - 16*p. Let b(g) = g - 8. Let y(t) = -1. Let f(h) = -3*b(h) + 24*y(h). What is a(f(o))?
27*o**2
Let v(o) be the second derivative of 4*o + 0*o**2 + 7/12*o**4 + 0*o**3 + 0. Let n(g) = -g**2. What is n(v(c))?
-49*c**4
Let c(a) be the first derivative of 2*a**2 - 1 + 0 - a**2 - 2*a**2. Let r(u) = u**2. Calculate c(r(l)).
-2*l**2
Let o(s) = -29*s - 21. Let c(i) = i**2. What is c(o(p))?
841*p**2 + 1218*p + 441
Let x(a) = 2*a**2. Let w(u) = 2*u. Give w(x(z)).
4*z**2
Let z(v) = -181*v. Let r(g) = g. Determine z(r(f)).
-181*f
Let q(f) = 2*f. Let p(d) = 9*d**2 + 7*d. Let n(a) = -5*a**2 - 4*a. Let i be 33/9 - 1/(-3). Let c(x) = i*p(x) + 7*n(x). What is c(q(k))?
4*k**2
Let l(o) = -5*o. Let g(a) = -4*a**2 + 22. Determine l(g(h)).
20*h**2 - 110
Let v(d) be the second derivative of -d**6/72 - 5*d**3/3 + 2*d. Let p(a) be the second derivative of v(a). Let s(n) = -n**2. Calculate p(s(f)).
-5*f**4
Let o be 1 - ((-1)/1)/1. Let p(s) = 2*s**2 + 2*s**o - 5*s**2. Let m(l) be the second derivative of l**4/3 + l. Determine p(m(y)).
-16*y**4
Let x(l) = -l**2. Let f be (2 - 9/6)*8. Suppose -t + f*t = 6. Let s(d) = 0*d**2 + d**t - 3*d**2. Determine x(s(j)).
-4*j**4
Let p(h) be the second derivative of -h**4 - 32*h. Let o(f) = 2*f**2. Give p(o(z)).
-48*z**4
Let y(s) be the third derivative of s**5/20 + 22*s**2. Let r(z) = 2*z**2. What is y(r(k))?
12*k**4
Let w(c) = 2*c + 3*c + 7*c**2 - 4*c**2. Let z(y) = -2*y**2 - 3*y. Let t(p) = -3*w(p) - 5*z(p). Let h(s) = s**2. Give t(h(o)).
o**4
Let c(f) be the second derivative of f**4/6 + f - 42. Let i(z) = -12*z. What is i(c(p))?
-24*p**2
Let h(n) = -n**2. Let a(i) be the second derivative of 29*i**3/6 - 3*i. Determine h(a(j)).
-841*j**2
Let n be 3 - 0 - (1 + 0). Let r(k) = -k - k - n + 2. Let z(w) be the third derivative of w**4/12 + w**2. Calculate z(r(b)).
-4*b
Let m(f) = -3*f. Let z(a) = 3 + 2 + 7*a + 2 + 3*a**2. Let j(n) = -n**2 - 2*n - 2. Let l(w) = -14*j(w) - 4*z(w). Give m(l(q)).
-6*q**2
Let h = -1 + 3. Let a(k) = 2*k**2 - 2*k**2 - k**h + 0*k**2. Let l(d) = -3*d. Give l(a(o)).
3*o**2
Suppose 2*o - 5 = -1. Let s(n) = 3*n**o - 4*n + 4*n. Let l(t) = -5*t + 2*t + 4*t + t. Calculate l(s(c)).
6*c**2
Let b(d) = -4*d. Let m(s) be the third derivative of 3*s**2 + 0*s + 0*s**3 + 1/12*s**4 + 0. Calculate m(b(g)).
-8*g
Let b(n) = -5*n + 6. Let q(p) = 6*p - 7. Let m(s) = 7*b(s) + 6*q(s). Let g(t) = 23*t. Calculate g(m(u)).
23*u
Let o(g) = g**2. Let w(f) = 84*f**2 - 21*f. Let v(q) = -17*q**2 + 4*q. Let s(x) = -21*v(x) - 4*w(x). What is s(o(c))?
21*c**4
Let i(x) = x - 5. Let v be i(-5). Let j be (-32)/v - (-2)/(-10). Let z(h) = -5*h - j*h + 5*h. Let d(c) = -c. What is d(z(n))?
3*n
Let q(g) be the second derivative of 4*g**3/3 - 16*g. Let l(m) = 3*m**2. Give q(l(d)).
24*d**2
Let k(r) = -r**2. Let z(m) = 25*m**2. What is z(k(l))?
25*l**4
Let o(q) = -2*q. Let h be 2/6*3 + 2. Let k(r) = -68 + 68 + h*r. What is o(k(a))?
-6*a
Let f(b) = 5*b**2. Let k(n) = -3187*n**2. Calculate k(f(j)).
-79675*j**4
Let z(i) = 24*i - 66. Let b(y) = -3*y + 8. Let p(a) = -33*b(a) - 4*z(a). Let o(u) = u. What is p(o(s))?
3*s
Let c(k) = 3*k**2 - 2*k. Let x(b) = 16*b**2 - 11*b. Let n(t) = -22*c(t) + 4*x(t). Let p(r) = 5*r - r - 2*r. Give n(p(a)).
-8*a**2
Let y(m) be the first derivative of m**3/3 - 1. Let w(g) = 4*g**2 - 17*g + 36*g - 19*g. What is w(y(l))?
4*l**4
Let q(h) = -154*h**2. Let y(v) = -3*v**2. What is q(y(t))?
-1386*t**4
Let m(d) = 94*d. Let i(a) = 2*a. What is m(i(o))?
188*o
Let f(y) = 2*y**2. Let b(p) = -145*p + 2. Determine f(b(s)).
42050*s**2 - 1160*s + 8
Let d(v) = -12 - 17 + 29 - 2*v. Let r(t) = -11*t**2. Determine d(r(f)).
22*f**2
Let q(x) = -x**2. Let b(r) = 348*r**2 + 1. Determine b(q(z)).
348*z**4 + 1
Let g(x) = -17*x. Let q(i) = -3*i - 10. Determine g(q(z)).
51*z + 170
Let p(l) = -12*l. Let y(u) = u + 2. Let v(g) = 6*g + 11. Let w(x) = -2*v(x) + 11*y(x). Let d(n) = 2*p(n) - 28*w(n). Let s(m) = m**2. What is s(d(h))?
16*h**2
Let o(t) = t - 1. Let h(w) = -3*w + 2. Let i(j) = -h(j) - 2*o(j). Let v(c) = c - 5. Let l be v(7). Let r(g) = 6*g**2 - 2*g**2 + 0*g**l. Give r(i(s)).
4*s**2
Let u(x) = -6*x**2. Let i(a) be the third derivative of a**6/360 + a**3/3 - 3*a**2. Let f(k) be the first derivative of i(k). Give u(f(g)).
-6*g**4
Let d(q) = 20*q**2. Let n(s) = -23*s**2. Determine n(d(h)).
-9200*h**4
Let u(x) = 4*x. Let p = -2831/24 + 118. Let w(z) be the third derivative of 0*z + 0 + 0*z**3 - p*z**4 + z**2. Determine w(u(a)).
-4*a
Let r(u) = -u**2 - 3*u + 3. Let y(j) = -2*j**2 - 4*j + 4. Let a(p) = -4*r(p) + 3*y(p). Let h(w) = 19*w. Determine a(h(i)).
-722*i**2
Let w(c) = -5*c. Let h(s) = -8986 + 8986 + 5*s**2. Calculate h(w(k)).
125*k**2
Let z(d) = d. Let o(m) = 4*m**2 - 5*m**2 + 7*m**2. What is z(o(q))?
6*q**2
Let p = 95 - 93. Let l(b) be the second derivative of 0*b**3 + 0 - 1/2*b**4 + 0*b**p + b. Let c(n) = -2*n. Calculate l(c(m)).
-24*m**2
Let l(x) = 5*x**2. Let n(q) be the second derivative of -q**7/1260 + q**4/2 - 2*q. Let j(a) be the third derivative of n(a). Determine l(j(p)).
20*p**4
Let v(q) = -14*q. Let k = -14 + 13. Let m(j) = -j**2 + j - 1. Let x(p) = -4*p**2 + 2*p - 2. Let b(o) = k*x(o) + 2*m(o). Determine b(v(a)).
392*a**2
Let o(g) = -g. Let q(b) = -747*b. Determine o(q(v)).
747*v
Let t(r) = r**2. Let a(v) = 142*v + 144*v - 281*v. Calculate t(a(n)).
25*n**2
Let s be (-46)/(-14) - 4/14. Suppose 4*d + 4*i - 38 = 14, d - 15 = -s*i. Let o(p) = 5*p - d + 12. Let v(r) = 2*r. Determine o(v(w)).
10*w
Let m(c) = -2*c. Let g(v) = v - 1452. Give g(m(l)).
-2*l - 1452
Suppose 0 = 4*a - 2*a - 2. Let z be a - 1/((-2)/6). Let s(u) = -3*u + u + 5*u - z*u. Let d(i) = -7*i. Give s(d(c)).
7*c
Let a(w) = 16*w - 6. Let h(v) = -2*v. What is h(a(c))?
-32*c + 12
Let d = 7 - 7. Let r(k) be the first derivative of d*k + 0*k**2 - 1/3*k**3 - 1. Let l(g) = -g**2. What is l(r(s))?
-s**4
Let v(m) = -m**2. Let r(t) = 2*t - 1257. Determine r(v(p)).
-2*p**2 - 1257
Let p(i) = i**2 - 3*i. Let a(k) = 2*k**2 - 7*k. Let o(m) = 3*a(m) - 7*p(m). Let t(s) = 3*s - 2*s + 0*s. Let w(f) = -f. Let u(x) = t(x) - w(x). What is u(o(d))?
-2*d**2
Let k(a) = a**2. Let i = -1 + -6. Let w(m) = 3*m + 3. Let r(z) = -z**2 - 7*z - 7. Let d(v) = i*w(v) - 3*r(v). What is d(k(h))?
3*h**4
Let a(w) be the first derivative of w**4/12 + 2*w**2 - 2. Let j(p) be the second derivative of a(p). Let v(f) = 4*f. Give v(j(k)).
8*k
Let n(z) = 12*z. Let s(j) = -8*j**2 + 1. Calculate s(n(c)).
-1152*c**2 + 1
Let q(a) = 2*a**2 + 40. Let p(v) = -6*v - 8. Let h(l) = -4*l - 5. Let n(s) = 8*h(s) - 5*p(s). Determine q(n(g)).
8*g**2 + 40
Let n(p) be the first derivative of 3*p**2/2 + 9. Let w(i) = -20*i**2. What is w(n(h))?
-180*h**2
Let s(o) be the third derivative of o**5/60 - o**2. Let i(x) = -32*x**2 + 14*x**2 + 17*x**2. Give i(s(h)).
-h**4
Let w(q) be the second derivative of -5*q**3/6 + 2*q. Let d(l) be the second derivative of -2*l + 1/6*l**3 + 0 + 0*l**2. Calculate w(d(r)).
-5*r
Let c(j) be the third derivative of -1/12*j**4 + 0*j**3 + j**2 + 0*j + 0. Let u(o) = -3*o. Give c(u(k)).
6*k
Let p(w) = 506*w. Let s(m) = -2*m. Determine p(s(j)).
-1012*j
Let w(z) = 4*z**2. Let c(r) = 88*r. Give c(w(x)).
352*x**2
Let s(p) = 28*p + 1. Let j(g) = 3*g. Determine j(s(x)).
84*x + 3
Let r(q) = -4*q + 6*q**2 - 8*q + 12*q. Let t(n) = | {
"pile_set_name": "DM Mathematics"
} |
Let f = b + 32. Is f not equal to -1/5?
False
Let f(h) = 5*h - 25. Let i be f(10). Let j = i - 23. Does j = 0.1?
False
Let o = -9 + 8. Let k be 1*(o - (-15 + 1)). Is 12 less than k?
True
Suppose -2*k - k + 4*m + 12 = 0, 4 = k - 2*m. Suppose -k*z + 5*p = 25, -8 = -4*z - 4*p + 12. Let q be (-6 - (-3 - z)) + 0. Is -1 < q?
False
Let u(x) = -x**3 - 5*x**2 + 8*x + 8. Let y be u(-6). Let p be 6/y - (-27)/18. Is -2/63 equal to p?
False
Let b be ((-4)/16*-4)/(-1). Which is smaller: b or 1/14?
b
Suppose 0 = 3*x - 6, -4*i + 2*x + 2 = 6. Suppose i = k - 3*k. Which is bigger: -8/9 or k?
k
Let v be (1 - 2) + -4 + (-54)/(-12). Is 3/4 at most as big as v?
False
Let c = -1.5 - -1.1. Let n = 7.6 - 7. Let h = c + n. Which is greater: 1 or h?
1
Let g(l) = l**2 + 4*l + 11. Let b be g(-4). Is b <= 9?
False
Let u(g) = -g**3 - 3*g**2 + 3*g + 4. Let f be u(-3). Let b be 90/12*(-1)/f. Suppose -3*l - 3 = -6*l. Is b at most l?
False
Let q be 2 + 461/20*-2. Let b = q - -87/2. Let f be (-2)/(-9) - 11/9. Is f at least b?
False
Let n = -46.9 - -47. Which is smaller: n or -4?
-4
Let i(c) = 10*c. Let p be i(2). Let k be p/6*(-6 + 3). Which is greater: k or -9?
-9
Let j(x) = -x**3 - 2*x**2 - 2*x. Let i be j(-3). Let l = i - 2. Let d = l - 27/2. Do 0 and d have different values?
True
Suppose -5*l - 71 = 3*y + 109, 5*y = l - 328. Which is smaller: -66 or y?
-66
Suppose 0 = 3*v + 3, -4*u + 9*u - 2 = 2*v. Suppose 2*w + u = 20. Which is smaller: w or 11?
w
Suppose 4*j - 3*j - 21 = 0. Let d be 5/j - (-4)/(-6). Let c = 4 - 5. Is c != d?
True
Let x be -1 + (-1 - 6/(-4)). Let d(z) = -2*z**2. Let y be d(-1). Which is bigger: y or x?
x
Suppose 0 = u - 4*f - 22, -4*u + 5*f = -45 + 12. Suppose -2*j + 8 = -5*d, -4*d + 3*j = u*j + 4. Let v = -1 + d. Is v at least 0?
False
Let p = -15 + 14. Let b = 0 - 1. Does p = b?
True
Let d = -1 + 4. Suppose 3*i + k - 4*k - d = 0, 2 = 2*i + 5*k. Let m be i - -1*(-1)/3. Is m at most as big as 2?
True
Let q be ((-9)/114)/(0 + 0 + 1). Is -1 greater than or equal to q?
False
Suppose -8*c = -3*c - 95. Is 1 smaller than c?
True
Let z be 1 - (2 - (-1 + 4)). Suppose -z + 8 = 3*f. Suppose -5*a + 12 = -0*a + 4*d, -6 = -f*a - 2*d. Which is greater: a or -3?
a
Suppose 3*g + 0*g = 0. Let c = -1 + g. Let l = 0 + -2. Is l at most as big as c?
True
Let z(p) = -2*p**3 - p**2 - p. Let u be z(-1). Suppose -2*y = 3*m - 8, -5*m + 3 = -3*y - 4. Suppose -u*s + 0 = m. Are s and 1 unequal?
True
Suppose 0*z = -4*z, 5*z = -4*s. Is s less than 3/11?
True
Let u(p) = p**2 + p. Let v be u(3). Suppose -3*b + v = -5*b. Let z(s) = s**3 + 7*s**2 + 6*s. Let d be z(b). Is 0 != d?
False
Let t(z) = z**2 - 2*z + 1. Let k be t(2). Suppose k = -0*d + d. Let x(l) = -l**2 - 2*l + 2. Let f be x(-2). Is f greater than or equal to d?
True
Let u(b) = -b**3 + 6*b**2 - 5*b - 1. Let c be u(5). Is c less than or equal to 1/5?
True
Let f = -2 + 5. Suppose -4*h + f*h = 0. Suppose h = -0*j - 5*j - 10. Is j bigger than -2/7?
False
Let u = 3558/13 - 274. Which is smaller: u or 1?
u
Suppose 0 = -3*p + 3 + 12. Suppose -p*t = 6*l - 2*l - 51, 2*l = t + 1. Which is smaller: t or 5?
5
Let o be -4*3/(24/(-10)). Let w = 84 + -21. Let y be (6/(-9))/((-12)/w). Which is smaller: o or y?
y
Let h = 42 - 67. Is -24 not equal to h?
True
Let b(j) = -5*j**2 - j + 8. Let z be b(-9). Let r be (z/(-12))/(686/6). Let i = r + 1/343. Which is greater: -1 or i?
i
Let d(v) = v**3 + 2*v**2 - 5*v - 4. Let m be d(-3). Suppose -3*g = -m + 5. Is g at most as big as -3?
False
Let v = -3 - -7. Let d = v + -3. Let t be 3/(-6) - (-6)/(-12). Which is greater: d or t?
d
Let k = 7 - -25. Is 32 greater than or equal to k?
True
Suppose 4*b = 7*b - 12. Suppose 0 = c - 4 - 0. Is c less than or equal to b?
True
Let p be ((-6)/(-5))/(2/(-10)). Suppose 0*h = -3*a + 5*h - 10, -5*a = -5*h + 20. Is a >= p?
True
Suppose i = -4, -i = -2*d - 3*i - 2. Suppose -d*f = -0*k + k + 7, k = -2*f - 6. Which is smaller: f or -1/4?
f
Let s be 3/6*(-4 + 4). Let t = 8 + -14. Let y(p) = p**2 + 7*p + 9. Let j be y(t). Is j greater than s?
True
Let t(s) = 3*s + 1. Let p be t(-2). Let o = 188 - 192. Which is smaller: p or o?
p
Let a = -15.4 + 14. Let h = -0.4 - a. Is -0.2 less than or equal to h?
True
Let t = -3.4 + -0.6. Let r = 82 - 82.2. Which is smaller: r or t?
t
Let v be (-2)/(-7) + 1124/(-1435). Let x be 24/(-82)*(-1)/3. Let m = v + x. Which is bigger: -2/3 or m?
m
Let n = 21 + -14. Let h = -5 + -3. Let x be (h/20)/((-1)/15). Which is smaller: x or n?
x
Let h(p) = -5*p**2 + 2*p + 1. Let n be h(-1). Let b be ((-4)/n)/((-4)/(-9)). Let c = 0.1 - 0.2. Is c at most b?
True
Suppose -7 = f + 3*a - 19, f - 4*a + 23 = 0. Let h be (-2)/(-12)*(2 + f). Let x = -5/6 - h. Which is bigger: 0 or x?
0
Let u = -5 - -15. Suppose 2*j - 5*o - u = 0, -3*j + 2 - 12 = 5*o. Suppose 0*d = 5*d, 4*h - 3*d - 8 = 0. Is h less than j?
False
Let d = 0.8 + -1. Let n = 17 + -17.08. Let h = 0.12 - n. Is h greater than d?
True
Let d = -0.05 + -0.05. Suppose 3*o - 1 = 3*r + 14, r = -5*o + 1. Let m be (2/(-35))/(o/(-5)). Is m bigger than d?
True
Let g = 74 - 82. Is g at most as big as -10?
False
Let s(a) = -a**3 + 4*a**2 + a - 2. Let m be s(4). Suppose q = -5*j - 14, -2*q + 17 = -m*j - 3*j. Let c be (1 - 3)/(39/3). Is q at most as big as c?
False
Let u = -64 + 63. Are u and 1/4 nonequal?
True
Let b(f) = 2*f - 2. Let z be b(-4). Let n be 4/(-20) + (-2)/z. Which is greater: -1/5 or n?
n
Suppose -4*v + 3 = -f, 0 = 4*v - 9*f + 4*f + 1. Let u = -6 - -6. Are v and u equal?
False
Let x = 78 - 141. Is -64 bigger than x?
False
Let o = 18890/579 - -8/193. Let n = o + -33. Which is bigger: -0.1 or n?
-0.1
Let j = 1.92 - 2. Let p be 7 + -10 - (-15)/6. Which is greater: j or p?
j
Let q = 14 + -18. Let b be (-24)/9*1/q. Which is greater: 1 or b?
1
Let o(m) = m - 4. Let h be o(6). Let b be 2/(-112) + h/14. Is b <= 1?
True
Suppose -o = 3*o + 4. Let d = o + 1. Which is bigger: 2 or d?
2
Suppose -4*k - 16 = 2*n, -3*n - n - 29 = 5*k. Which is bigger: -5 or n?
-5
Let q = -191/15 + 37/3. Which is bigger: 3 or q?
3
Let t = 0.67 - -0.13. Let u = -0.2 - t. Let b be 2 - ((-130)/(-12))/5. Is u <= b?
True
Let a(j) = -j**2 + 4*j - 4. Let k be a(3). Suppose 3*s + s = 72. Let p be 2/(-6) + 3/s. Is p smaller than k?
False
Let n be (-460)/126*30/40. Let s = n - -5/21. Let j(f) = -f**3 - 5*f**2 + f + 3. Let l be j(-5). Which is smaller: s or l?
s
Let s = 0.3 + -0.4. Let p(z) = 18*z - 25. Let y be p(1). Which is greater: y or s?
s
Let y = -1.9 - -2.04. Let k = y - 0.06. Which is smaller: k or -1?
-1
Let a be (-1)/4 - (-26)/(-88). Let l(f) = f**2 + 5*f + 4. Let g be l(-4). Which is bigger: g or a?
g
Let f(w) = -w**3 + 6*w**2 + 8*w - 5. Let y be f(7). Suppose 21 + 11 = -3*g - 4*s, y*g + 2*s = -18. Let d = -4 - g. Which is smaller: d or 1/2?
d
Let j(z) = z + 6. Let b be j(-6). Let y be (-2)/7 + (-120)/756. Is y > b?
False
Suppose 2*z - 10 = -2. Suppose 0 = -0*g - 4*g + z. Let s be 12*(g + (-2)/3). Which is smaller: 3 or s?
3
Let l(x) = -8*x**2 + 8 - 11*x + 9*x**2 + 3*x. Let h be l(6). Suppose -5*z - 22 = -z + 2*q, 2*z = 2*q - 2. Is z smaller than h?
False
Let s = 25.6 - 23. Let m = s + -3. Let v = -198 - -196. Which is smaller: v or m?
v
Let d = -5.5 + 5. Let x = d + -3.5. Let c = x - -4.1. Which is smaller: c or -1?
-1
Let j = 9 + -6. Suppose -2*a - a - j*r = -9, -2*r = 0. Which is bigger: a or 0?
a
Suppose 0 = 5*p - 27 - 3. Suppose -h + 5 = -p*h. Let d be (h/2)/((-1)/4). Is d smaller than 0?
False
Let j(s) = s**2 - 6*s + 3. Let g be j(5). Let n = -8 + g. Let a be (6/n)/(2/(-10)). Is a equal to 4?
False
Let b = -1897/39729 + -1/969. Is b not equal to 1?
True
Suppose 4*m - 3*m - 5 = 0. Let n(s) = -6*s + 3*s + m + 2*s. Let c be n(6). Is -1 <= c?
True
Let p = -2 + 3. Let i be p - (-1)/(-1)*2. Let k = 55 + -55. Is i greater than k?
False
Let i = 8 - 54/7. Are 10 and i unequal?
True
Let z be 2/(-6)*(3 + -6). Let h(j) = -j**2 - j + 1. Let u be h(z). Which is smaller: u or -1/6?
u
Let w be 21/15 - 3/(-5). Suppose 0*d = w*d. Is d at least -3?
True
Let y = 137 + -1237/9. Let j = -1 - 0. Is j smaller than y?
True
Let m = 0.07 + 4.93. Let f = -7 - -4. Let v = m + f. Is 2/7 at least v?
False
Let r = 0.07 - 0.67. Let v = r - -0.6. Is v bigger than -2/3?
True
Suppose 0*q - 108 = 2*q. Let c be 8/198 - (-12)/q. Which is bigger: c or 0?
0
Let j = 39 + -15 | {
"pile_set_name": "DM Mathematics"
} |
of 25/8*r**2 - 35 + 5/2*r - 35/12*r**3. Factor u(q).
-5*(q - 1)*(7*q + 2)/4
Factor -3/2*t**3 + 6*t + 1/2*t**4 - t**2 - 4.
(t - 2)**2*(t - 1)*(t + 2)/2
Let s be (-126)/(-24) - (-1)/(-4). Let 15*w + 41*w**3 - 43*w + 21*w**4 + 12 - 24*w**2 - 9*w**4 - 28*w**s + 15*w**3 = 0. What is w?
-1, 3/7, 1
Let l(o) be the third derivative of 0*o**3 - 3/16*o**8 - o**4 - 83/70*o**7 - 53/20*o**6 + 2*o**2 + 4 - 13/5*o**5 + 0*o. Let l(f) = 0. What is f?
-2, -1, -2/3, -2/7, 0
Suppose -176*d + 92*d = 0. Suppose -1/4*j**2 + d*j + 0 = 0. What is j?
0
Suppose 0 = 2*g + 2*g - 3*t + 40, 3*t = -g - 25. Let p = -9 - g. Solve -4*u**4 + 0*u**2 - 2*u**2 + 0*u**p - 5*u**3 - u**5 = 0.
-2, -1, 0
Solve 710*b - 670*b**3 - 815*b**2 + 2034 + 2*b**4 - 2154 - 107*b**4 = 0 for b.
-4, -3, 2/7, 1/3
Let u(r) = -40*r**4 + 188*r**3 + 20*r**2 - 300*r + 204. Let i(d) = -8*d**4 + 38*d**3 + 4*d**2 - 60*d + 41. Let v(p) = 24*i(p) - 5*u(p). Factor v(c).
4*(c - 3)*(c - 1)**2*(2*c + 3)
Let w(g) = 22*g. Let h be w(1). Let t be 48/h + 22/(-121). What is x in x**t + 2*x**3 - 1 - x**3 + x - 2*x**3 = 0?
-1, 1
Let n be 10/5 - 10 - (-19 - -6). Solve -1/3 + 1/3*o**n - 1/2*o + 5/6*o**2 + 3/2*o**4 + 13/6*o**3 = 0 for o.
-2, -1, 1/2
Let v(d) = 12*d**2 + 96*d + 188. Let p(y) = 10*y**2 + 97*y + 187. Let m(n) = -4*p(n) + 3*v(n). Suppose m(g) = 0. What is g?
-23, -2
Let w(h) = h**3 + 6*h**2 - 16*h - 7. Let r be w(-7). Let c = 58 - r. Factor 0 - 2/7*m**c + 0*m.
-2*m**2/7
Let g be ((-10)/(-4))/((-45)/216*-6). Suppose -16/5*c**3 + 16/5*c + 4/5*c**g - 4/5 = 0. Calculate c.
-1, 1/4, 1
Suppose -6*c = -3*c + 33. Let v(g) = g**2 + 11*g + 2. Let s be v(c). Determine n so that 2*n**2 + 5*n + n**3 + 0*n**2 + 2 + s*n**2 = 0.
-2, -1
Let i(r) = r**2 - r + 2. Let u be i(6). Let j = -30 + u. Factor 1/5*d**j - 2/5*d + 1/5.
(d - 1)**2/5
Let l = -28 + 22. Let d be 8/l*(0 + -3). Determine a so that 0*a + 8*a**4 + 0*a + 99*a**5 - d*a**3 - 87*a**5 = 0.
-1, 0, 1/3
Determine f, given that -1/5*f**2 + 44/5*f - 484/5 = 0.
22
Let b(v) be the first derivative of -v**4/6 + 164*v**3/9 - 1760*v**2/3 + 6400*v/3 + 696. Factor b(f).
-2*(f - 40)**2*(f - 2)/3
Let s be -3 + 19/228 + (-177)/(-36). Let -4/7*y**s + 4/7*y**5 + 0 + 12/7*y**3 + 0*y - 12/7*y**4 = 0. What is y?
0, 1
Factor 22 + 46 - 68 + 2*a**4 - 8*a**3.
2*a**3*(a - 4)
Let g(i) = 15*i**5 - 81*i**4 + 134*i**3 - 79*i**2 + 16*i. Let b(w) = -w**5 - w**4 + 2*w**3 + w**2. Let v(d) = b(d) - g(d). Factor v(y).
-4*y*(y - 2)**2*(2*y - 1)**2
Let b(c) = -c**3 + 3*c**2 + 9*c - 5. Let g(w) = -4*w**2 - 8*w + 4. Suppose -13 = u - 10. Let t(f) = u*g(f) - 4*b(f). Suppose t(z) = 0. What is z?
-2, 1
Solve 32*b**3 - 2*b**4 + 17 - 47*b**2 - 40 - 45*b**2 - 288*b - 139 = 0.
-1, 9
Let q(d) = -2*d**3 + 21*d**2 + 9*d + 25. Let z be q(11). Let r be (z/(-4))/(15/(-8)). Find h such that -r*h**2 + 2*h - 8/5 = 0.
1, 4
Suppose 2*j + 5*h - 19 = 0, 2*h + 105 = 111. Suppose 1/6*q**3 + 0 - 1/6*q**5 + 0*q + 1/6*q**4 - 1/6*q**j = 0. Calculate q.
-1, 0, 1
Let d(y) be the first derivative of 8*y**3/3 + 60*y**2 + 450*y + 470. Factor d(l).
2*(2*l + 15)**2
Find x such that -27/4*x**3 + 33/4 - 201/4*x + 315/4*x**2 = 0.
1/3, 11
Factor 0 - 3/4*q + 1/4*q**4 - 5/4*q**3 + 7/4*q**2.
q*(q - 3)*(q - 1)**2/4
Let g(d) be the third derivative of 1/20*d**5 + 0*d**3 - 1/4*d**4 + 2*d**2 + 0 + 0*d. Suppose g(j) = 0. Calculate j.
0, 2
Let p(j) be the third derivative of 1/36*j**4 + 0*j**3 + 0*j + 0 + 26*j**2 + 0*j**5 - 1/180*j**6. Factor p(h).
-2*h*(h - 1)*(h + 1)/3
Let r be 4485/(-105) + -2*(-2)/(-14). Let x = r + 43. Determine i, given that x*i - 2/3*i**4 - 2/3*i**3 + 0*i**2 + 0 = 0.
-1, 0
Suppose -31 = -3*d + 5*a, -d = 4*d + 5*a + 15. Let r(l) be the first derivative of 16*l + 4/3*l**3 + 8*l**d + 6. Factor r(t).
4*(t + 2)**2
Let h be 6/45 - (-3)/(90/(-244)). Let k be (-2)/8*(h - 4). Factor 1/5 + 1/5*w**k - 1/5*w - 1/5*w**2.
(w - 1)**2*(w + 1)/5
Let a = 2618 - 2616. Factor 0 - 2/5*t**2 - a*t.
-2*t*(t + 5)/5
Let o(y) = -4*y**5 + 6*y**4 - 18*y**3 + 10*y**2. Let m(g) = -7*g**5 + 14*g**4 - 37*g**3 + 20*g**2. Let p(z) = 6*m(z) - 10*o(z). Let p(b) = 0. What is b?
0, 1, 10
Let s(t) be the first derivative of 1/12*t**3 + 3*t - 1/18*t**4 - 1 + 0*t**2. Let x(p) be the first derivative of s(p). Find c such that x(c) = 0.
0, 3/4
Suppose -11*o - n = -9*o, 0 = -4*n - 16. Let y(s) be the first derivative of s**3 + o + 9/2*s**2 + 6*s. Factor y(v).
3*(v + 1)*(v + 2)
Let u(p) be the second derivative of p**5/10 - p**4 - 7*p**3/3 - 264*p. Factor u(w).
2*w*(w - 7)*(w + 1)
Let a(y) = -4*y**4 - 6*y**3 + 8*y + 2. Let b(r) = r**4 - r**2 - r + 1. Suppose 3*l - 13 = -1. Let d(i) = l*b(i) + 2*a(i). Factor d(j).
-4*(j - 1)*(j + 1)**2*(j + 2)
Factor -4/7*o + 16/7 - 2/7*o**2.
-2*(o - 2)*(o + 4)/7
Let g(m) = -15*m**2 + 95*m - 210. Let y(d) = -8*d**2 + 47*d - 105. Let j(k) = -3*g(k) + 5*y(k). Factor j(v).
5*(v - 7)*(v - 3)
Factor 18*x**3 - 27/5*x**4 + 99/5*x - 138/5*x**2 - 27/5 + 3/5*x**5.
3*(x - 3)**2*(x - 1)**3/5
Let z(d) be the third derivative of 0 + 1/2016*d**8 + 1/144*d**4 + 0*d**7 + 0*d**3 + 0*d - 1/360*d**6 - 13*d**2 + 0*d**5. Factor z(l).
l*(l - 1)**2*(l + 1)**2/6
Let l(r) be the third derivative of 0 - 9/40*r**5 + 0*r**3 + 3/80*r**6 + 0*r + 9/16*r**4 - 1/420*r**7 - 5*r**2. Determine q, given that l(q) = 0.
0, 3
Factor 29*n**5 + 212*n + 232*n**3 - 52*n**5 + 27*n**5 - 23*n**4 - 45*n**4 - 328*n**2 - 52.
4*(n - 13)*(n - 1)**4
Let w = 14/83 + 124/249. Find b such that 2/3*b + 0 + 2/3*b**2 - w*b**3 - 2/3*b**4 = 0.
-1, 0, 1
Suppose -4*z + 3*h = -62 + 2, 4*z + 2*h - 80 = 0. Solve 20*v + v**2 - 40*v + z*v = 0.
0, 2
Suppose 15*x + r = 11*x + 10, -4*r - 14 = -2*x. Solve -1/2*z**4 + 3/2*z - 7/2*z**2 + 5/2*z**x + 0 = 0 for z.
0, 1, 3
Let i(c) be the second derivative of c**5/100 - c**4/15 - c**3/10 + 9*c**2/5 - 3*c - 45. Factor i(f).
(f - 3)**2*(f + 2)/5
Suppose -19*d + 15*d + 8 = 0. Factor -7100*m**2 + 7100*m**d - 32*m - m**4 + 6*m**3.
-m*(m - 4)**2*(m + 2)
Let p be (-1)/(-4) + (5157/1884 - 3). Let u = 952/785 + p. Let 22/5*t**2 - 4/5 - 22/5*t**3 + u*t**4 - 2/5*t = 0. What is t?
-1/3, 1, 2
Let c(l) be the third derivative of -l**7/420 + l**5/15 - 8*l**3/3 + 6*l**2. Let g(i) be the first derivative of c(i). Factor g(z).
-2*z*(z - 2)*(z + 2)
Let t be (-586)/(-7911) - (-266)/54. Factor 2/5*h - 2/5*h**4 - 2/5 + 4/5*h**2 + 2/5*h**t - 4/5*h**3.
2*(h - 1)**3*(h + 1)**2/5
Let q(h) be the first derivative of -21/2*h**2 + 6*h - 3/2*h**4 + 8*h**3 - 6/5*h**5 + 1/2*h**6 - 4. Find p, given that q(p) = 0.
-2, 1
Let q be ((-1)/2 + 2)/(39/104). Suppose -q*l + 46 - 38 = 0. Solve 4/5 - 2/5*s - 2/5*s**l = 0 for s.
-2, 1
Let n(q) = -3*q**4 + 3*q**3 - 13*q**2 - 22*q + 2. Let s(f) = 2*f**4 - 2*f**3 + 6*f**2 + 11*f - 2. Let w(c) = -3*n(c) - 5*s(c). Find l, given that w(l) = 0.
-1, 4
Let v(h) = -h**3 - 13*h**2 + 28*h - 28. Let c be v(-15). Suppose -x + 3*m + 5 = -13, -c*x - 9 = 3*m. Find q such that 0 + 2/17*q**x + 2/17*q - 4/17*q**2 = 0.
0, 1
Suppose -4*d + 2*v - 5*v + 2 = 0, -4*d = 4*v. Let o = 264 + -261. What is g in 0*g**o + 8/7*g**d + 4/7*g - 8/7*g**4 - 4/7*g**5 + 0 = 0?
-1, 0, 1
Determine q so that 86/23*q**2 - 8/23 + 30/23*q**3 + 48/23*q = 0.
-2, -1, 2/15
Let p = 485/18 + -53/2. Determine n so that 0 + 4/9*n - 2/3*n**2 - p*n**3 = 0.
-2, 0, 1/2
Let n(z) be the second derivative of -z**7/168 - z**6/12 + 3*z**5/10 - z**4/24 - 23*z**3/24 + 3*z**2/2 + 5*z - 1. Factor n(m).
-(m - 1)**3*(m + 1)*(m + 12)/4
Let v(c) be the third derivative of -c**5/15 - 2*c**4/3 - 8*c**3/3 - c**2 - 47*c. Find q such that v(q) = 0.
-2
Factor 1/2*c**3 - 73/2*c**2 + 608*c + 2166.
(c - 38)**2*(c + 3)/2
Suppose -8*b - 18 = -14*b. Factor -6*i**b + 1238*i**2 - 1235*i**2 - i + 3*i + 7*i.
-3*i*(i + 1)*(2*i - 3)
Let w(d) be the third derivative of -d**7/735 + d**6/210 + d**5/42 - d**4/14 - 76*d**2 + 2*d. Factor w(l).
-2*l*(l - 3)*(l - 1)*(l + 2)/7
Let n(x) be the second derivative of x + 0*x**2 + 0*x**3 - 1/60*x**4 + 0. Factor n(u).
-u**2/5
Let x = 7 + -5. What is o in -5*o**x + 13 + 28 + 5*o - 31 = 0?
-1, 2
Let 117 - 20*y - 65*y**2 + 95*y**3 + 119 - 216 - 30*y**4 = 0. Calculate y.
-1/2, 2/3, 1, 2
Let y(c) be the third derivative of 5*c**8/588 + 44*c**7/735 + 11*c**6/70 + 4*c**5/21 + 2*c**4/21 - 288*c**2. Find j such that y(j) = 0.
-2, -1, -2/5, 0
Let r(v) be the second derivative of -v**4/10 + 6*v**3/5 - 3*v**2 + 8*v - 7. Sup | {
"pile_set_name": "DM Mathematics"
} |
(k) = 30*k**3 + 2*k**2 - k. Let x = 1 - 0. What is the tens digit of y(x)?
3
Let f(y) = -3 + 3*y**3 + 2 + 8*y**2 + 2 - 4*y**3 - 5*y. What is the tens digit of f(7)?
1
Let r = -41 + 78. What is the tens digit of r?
3
Suppose 4*c + c - 30 = 0. Let n = 9 - c. Suppose n*o = -i - o - 7, o - 2 = -i. What is the units digit of i?
5
Suppose 5*i = -3*z - 4 + 21, -2*i + 6 = z. Let k(q) = 3*q - 4. Let p be k(z). Suppose -s + 3*s = p. What is the units digit of s?
4
Let h be -3*(-3 + (-6)/(-3)). Let b(x) = 2*x**3 - 5*x**2 + 4*x - 3. What is the units digit of b(h)?
8
Let y = 7 - 2. Let s be 6 - y - (-3 + 1). Suppose 4*h + 0*g = -s*g + 59, -h + 2*g = -1. What is the tens digit of h?
1
Suppose 3*d = -v + 204 + 95, -121 = -d + 5*v. What is the tens digit of d?
0
Let y(g) = 2*g**2 + 7*g + 5. Let s be y(-5). Suppose -5*q + 30 = 5*n, 3*q + 7*n - 2*n = s. What is the units digit of q?
5
Suppose -11 = -5*t - s, 8 = 2*t + 2*t + s. Suppose -t*p = -25 - 83. What is the units digit of p?
6
Suppose 0 = -7*l + 4*l + 1167. What is the hundreds digit of l?
3
Let n(k) = 10*k + 1. What is the tens digit of n(3)?
3
Let i = -6 - -40. What is the units digit of i?
4
Suppose -y - 50 = 3*c, 4*y - y - 3 = 0. Let o = c + 29. What is the tens digit of o?
1
Suppose -r + 4*c + 64 = 3*r, -2*r - 4*c = -32. Suppose r = q - 14. What is the tens digit of q?
3
Suppose -l = 4*l + 30. Let z(o) = -o - 6. Let s be z(l). Suppose s*g - 2*g = -8. What is the units digit of g?
4
Let y(g) = g**2 - 11*g + 6. Let p be y(-6). Suppose 0 = 2*r - 5*r + p. What is the tens digit of r?
3
Let y = 56 + -53. What is the units digit of y?
3
Let j(n) = n**3 - n**2 - n + 3. What is the tens digit of j(4)?
4
Suppose 134 = 4*b - 3*h, 0*b + 5*b - 5*h - 170 = 0. What is the units digit of b?
2
Let f = 1 - 2. Let s(w) = 46*w**2 - 2*w - 1. What is the tens digit of s(f)?
4
Let y be (3/(-3))/((-1)/13). Let d = y + -7. What is the units digit of d?
6
Let m = -14 - -17. What is the units digit of m?
3
Suppose -5*i + 4*r + 255 = 0, -26 = 5*i + 2*r - 311. What is the tens digit of i?
5
Let r(l) = -17*l**3 + 6*l**2 + 7*l - 6. Let n(d) = -d**2 - d + 1. Let j(v) = -6*n(v) - r(v). What is the units digit of j(1)?
6
What is the units digit of ((-6)/4)/(9/(-1320))?
0
Suppose -4*a + 17 - 1 = 0, 5*b + a = 49. Suppose -2*o - 11 = -n - 2, -3*n = 3*o - b. What is the tens digit of (-22)/(-4)*(0 - o)?
1
Suppose -4*n = 4*q - 1392, q + 3*n - 4*n = 344. What is the hundreds digit of q?
3
Let n(w) be the third derivative of -w**7/1680 - 7*w**6/720 - w**5/60 + 4*w**2. Let y(x) be the third derivative of n(x). What is the tens digit of y(-7)?
1
Suppose -13 = -h - 5. Suppose 0 = 4*r - h - 8. What is the units digit of r?
4
What is the units digit of (0 + 7/(-14))/(2/(-556))?
9
Suppose 3*a + 5*d = 64, 5*a - 60 = 2*d - d. Let k = 15 - a. What is the units digit of k?
2
Let z be (6/8)/(2/8). Let r be 6 - (6/z - 0). Suppose -r*l = -w - 0*l - 9, -24 = -3*w - 5*l. What is the units digit of w?
3
Let w(o) = o**3 - 3*o**2 - 14*o - 2. What is the tens digit of w(6)?
2
Suppose 3*n - 2*q = -3*q - 31, 2*n + 15 = 5*q. Let u(x) = x**2 + 8*x + 13. What is the tens digit of u(n)?
3
Suppose 11 = 2*g - 21. Suppose 3*s = d - 36, 2*s - g = -0*d - d. What is the units digit of d?
4
Suppose 5*i = -2*h - 4, 5 = -2*h - 3*i - 3. Let u be (-4)/12 - h/3. Suppose 6*l - 3*l = 2*p + 17, -u*p + 18 = 2*l. What is the units digit of l?
7
Let f = -4 - -1. Let u(o) = -o - 3. Let t be u(f). Let c = 5 + t. What is the units digit of c?
5
Let t be (-4 + -8)/(1 - 3). Let g = 19 - t. What is the units digit of g?
3
Let f(l) = -l**2 + 9*l - 5. Let g = 18 - 13. What is the tens digit of f(g)?
1
Let p(g) be the second derivative of -g**3/6 - 3*g**2 + 2*g. Let v be p(-8). Let n = v - 1. What is the units digit of n?
1
Let v be 37 + 4/(-8)*8. Suppose -o = -3*h + 14 + 6, 0 = -3*h + 2*o + 25. Suppose 0 = -h*x + 2 + v. What is the units digit of x?
7
Let c = -29 - -135. What is the units digit of c?
6
Suppose 0 = -4*a - a. Suppose -5*g + a*t = t - 27, 18 = 2*g - 2*t. Let p = g + -1. What is the units digit of p?
5
Let q be 6 - (-3 - -6) - 5. What is the tens digit of 4*(q + 46/8)?
1
Suppose -5*x + 90 = 245. Let s = -19 - x. What is the units digit of s?
2
Let v(p) = p**3 + 10*p**2 - 10*p + 12. Let z be v(-11). What is the units digit of (z - -1)/(2 + 0)?
1
Let u(k) = -18*k - 4. What is the units digit of u(-2)?
2
Suppose 3 = -5*d + 3*j - 6, -4*d - 4*j = -12. Suppose d = -3*z + 6 - 0. What is the units digit of z/3 - (-25)/3?
9
Let t be 6/21 + 480/35. Let q = t - -7. What is the units digit of q?
1
Suppose y = -3*y + 32. Suppose -y = -p + 2*w + 2, -38 = -5*p - 2*w. What is the units digit of p?
8
Suppose -4*l = -3*g + 586 + 219, -3*l + 1090 = 4*g. What is the units digit of g?
1
What is the units digit of ((-4)/6)/(2/(-168))?
6
Suppose -q + 3*i + 3 = 4*i, 2*q = 2*i + 26. What is the units digit of q?
8
Let m = -22 + 53. Suppose -33 = -4*x + m. What is the units digit of x?
6
Suppose -2*k = -v - 92, 4*v - 27 = -k + 28. What is the units digit of k?
7
Let x(c) = c**3 - 3*c**2 + 6*c - 8. What is the tens digit of x(4)?
3
Suppose 14*s - 19*s + 475 = 0. What is the tens digit of s?
9
Let a(g) be the first derivative of 8*g**3/3 + g**2/2 + g - 2. What is the units digit of a(-1)?
8
Let m = 65 - 26. What is the units digit of m?
9
Suppose -204 = -3*x - x. What is the tens digit of x?
5
Let z = 5 - 1. Suppose -12 = 2*l - z*l. What is the units digit of l?
6
Suppose 2*b + 2*u + 7 = 5*b, -4*u + 13 = 3*b. What is the units digit of 21*3*1/b?
1
What is the units digit of (3*6/27)/((-2)/(-381))?
7
Suppose -3*s + 123 = -42. What is the units digit of s?
5
Let c be (16/(-20))/((-4)/10). Let s(l) = -7*l - 2*l**2 + 0 + 4*l**2 - c. What is the tens digit of s(5)?
1
Let y(u) = 15*u + 4. What is the units digit of y(2)?
4
Let h(z) = -2*z**3 - 15*z**2 + 5*z - 17. Let q = -14 - -23. Let x(u) = -u**3 - 8*u**2 + 2*u - 9. Let k(w) = q*x(w) - 4*h(w). What is the units digit of k(-12)?
1
Let z(w) be the third derivative of w**5/60 - w**4/3 + w**3/3 - 5*w**2. What is the units digit of z(9)?
1
Let v(h) = h**3 - 8*h**2 + 6. Let l be v(8). Let n(w) = w**2 - 7*w - 7. Let u be n(l). Let b = u - -26. What is the tens digit of b?
1
Suppose -6 = -3*p + 6. Suppose 5*x + 4*i = i + 189, -2*i = p. What is the tens digit of x?
3
Suppose 5*c + 40 = -5*s, 5*s = -0*s - 3*c - 36. Let n = 4 - s. What is the tens digit of n?
1
Let d be 148 - (-5)/((-15)/(-9)). Suppose -3*w - 34 = -d. What is the units digit of w?
9
Let u(q) = -5*q - 3. Let x = 5 + -11. What is the units digit of u(x)?
7
Let b(l) = l**2 + 8*l + 2. Let s be b(-10). Let a = s - 7. What is the tens digit of a?
1
What is the tens digit of (-5)/(-3) + 20/(-30) + 134?
3
Let t(l) = l**2 + l - 3. Let f be (-2 + 1)/((-4)/(-44)). Let c = f - -7. What is the units digit of t(c)?
9
Let p be (-1 - -2)/((-3)/(-9)). Let f = p - 1. Suppose -i = 3*s - 21, 4*s + 7*i = f*i + 39. What is the units digit of s?
6
Let y = -90 - -206. What is the tens digit of y?
1
Suppose -p = 3*p - 4. Let w(m) be the first derivative of 19*m**2/2 - m - 3. What is the units digit of w(p)?
8
Let q(s) = s**2 - s - 16. What is the hundreds digit of q(-12)?
1
Let r = 52 - 16. What is the units digit of r?
6
Let u(d) = -45*d + 12. What is the tens digit of u(-4)?
9
Let t be (1/3)/(1/9). Suppose 3*g - 39 = t*k - 5*k, 0 = 4*g - 3*k - 35. What is the units digit of g?
1
Suppose l + g - 10 = 0, 4*g = -l + 5 + 11. Suppose -l*k + k = -273. What is the tens digit of k?
3
Let v = 11 + 4. Suppose 0 = -t - 4*t + 5*i + 125, -5*i - v = 0. What is the units digit of t?
2
Suppose 3*n - 4*l - 370 = -109, 0 = n + 2*l - 77. What is the tens digit of n?
8
What is the tens digit of (-1)/4 + (-173)/(-4)?
4
Let m(y) = -3*y + y + 7 + 0 + 1. What is the units digit of m(-9)?
6
Suppose 4*s - 360 = -4*c, -5*c = 4*s - 79 - 371. What is the units digit of c?
0
Suppose -4*c + c = 0. Suppose 0 = -4*t + 5*p + 23, c*t = -3*t - 3*p - 3. Suppose -t = -b - b. What is the units digit of b?
1
Suppose -4*l + 20 + 0 = 0. Suppose -50 = -l*w - 10. What is the units digit of w?
8
Suppose 5*w + 2*b = 470, 2*w + 188 = 4*w - 3*b. What is the tens digit of w?
9
Suppose -2*u + 3*q + 13 = 0, 3*u + 0*u - 17 = 2*q. What is the tens digit of (-122)/(-5) + | {
"pile_set_name": "DM Mathematics"
} |
4 - 348340533 wrt o?
-1498724748*o**3
Find the first derivative of 546*j**2*s + 9129536*j**2 + 2975*s wrt s.
546*j**2 + 2975
What is the second derivative of 63562573*w**4 + 215410519*w?
762750876*w**2
What is the third derivative of 3916533*l**3 - 1403*l**2 - 103*l wrt l?
23499198
Find the second derivative of -553*i**2*m**3 + 341*i**2*m**2*x + 28*i**2 - 284*i*m**3 - 53354*i*m - m**3*x wrt i.
-1106*m**3 + 682*m**2*x + 56
What is the third derivative of -1458*r**5 - 25*r**4 - 66*r**3 + 3*r**2 + 741565 wrt r?
-87480*r**2 - 600*r - 396
What is the first derivative of 2*a**4 - 131328*a**2 - 73971483?
8*a**3 - 262656*a
What is the second derivative of 1074*d**3 + 13286*d**2 + 125626027*d wrt d?
6444*d + 26572
Find the third derivative of -14470082*v**4 + 17948*v**2 + 23*v - 1 wrt v.
-347281968*v
What is the second derivative of -22*g**2*k + 7823690*g**2 + 15183*g*k + 39*g + 4*k - 8 wrt g?
-44*k + 15647380
What is the first derivative of 2702*v**3 + 11244*v**2 + v + 85803732?
8106*v**2 + 22488*v + 1
Find the second derivative of -4*i**2*q**2 + 2*i**2 - 23465165*i*q**2 - 14361*i*q - 2712*q wrt q.
-8*i**2 - 46930330*i
Find the second derivative of 1977959*d**5 - 95578*d - 537 wrt d.
39559180*d**3
Find the third derivative of 1835053*g*h**3*q - 50*g*h**3 + 17*g*h**2 + 3*g*h*q + 324*h**2*q + 7*h**2 + 28 wrt h.
11010318*g*q - 300*g
Find the first derivative of 5017914*d**4 - 1518060.
20071656*d**3
Find the third derivative of 462537302*b*g*z**3 + 2*b*g*z - 7034*b*g - 2*b*z**3 - 3*b*z**2 - g - 5*z**2 wrt z.
2775223812*b*g - 12*b
Find the second derivative of 1295*r**4 + 2716*r**3 - 3*r**2 - 87018349*r wrt r.
15540*r**2 + 16296*r - 6
Find the second derivative of 1603*r*t**2 + 183*r*t + 2*r - 3106*t**2 - 2*t + 9863 wrt t.
3206*r - 6212
What is the derivative of 20*n**4 + 145*n**3 + 2*n**2 - 143*n + 15590152 wrt n?
80*n**3 + 435*n**2 + 4*n - 143
What is the derivative of -4*l**3 + 950*l**2 + 3991*l - 19048178?
-12*l**2 + 1900*l + 3991
What is the third derivative of 7944814*s**6 - s**2 - 7*s - 354540 wrt s?
953377680*s**3
What is the second derivative of 259641205*v**4 + 117747012*v wrt v?
3115694460*v**2
Differentiate -1981*a**4 - a**3 + 151*a + 12576467.
-7924*a**3 - 3*a**2 + 151
What is the third derivative of -1599*d**5 - 5855*d**4 + 16637299*d**2?
-95940*d**2 - 140520*d
What is the second derivative of -325*j*y**4 + 87822116*j*y + 127822*y**4 wrt y?
-3900*j*y**2 + 1533864*y**2
What is the second derivative of 177126297*w**2 + 788556800*w wrt w?
354252594
Find the second derivative of -31*y**3 - 1227289*y**2 - 65700053*y wrt y.
-186*y - 2454578
Find the third derivative of -292772894*j**3 + 98146*j**2 + 2*j + 410 wrt j.
-1756637364
Find the second derivative of -109*i*q**5*t - 909395*i*q**2*t + 3*i*q*t + 2*i*t - 88*i + 13*q*t - q + 55*t wrt q.
-2180*i*q**3*t - 1818790*i*t
Find the second derivative of -82160693*x**2 - 23*x - 254212 wrt x.
-164321386
What is the third derivative of -14906802*q**3*x**2 + q**2*x**2 - 8*q**2*x - 48461*q*x - 2*q wrt q?
-89440812*x**2
Find the third derivative of -31*a*b**4 + 36*a*b**2 - 1570472*b**4 + 4*b**2 + 3334*b wrt b.
-744*a*b - 37691328*b
Differentiate 35273*a**2 + 80*a - 7814397.
70546*a + 80
What is the second derivative of 282587692*f**4 - 3*f + 61955562?
3391052304*f**2
What is the derivative of 22*x**3 + 4766*x**2 - x + 10043213?
66*x**2 + 9532*x - 1
What is the second derivative of -52637485*a**2 + 59163789*a wrt a?
-105274970
Find the third derivative of 2*y**2*z**3 + 33109886*y**2*z**2 + 12401*y*z**3 + y*z**2 - 480*z**3 wrt z.
12*y**2 + 74406*y - 2880
Find the second derivative of g**3*r**2 - 243457*g**3*r + 2458217*g*r**2 wrt g.
6*g*r**2 - 1460742*g*r
Find the second derivative of -24156964*n**2 - 89372194*n.
-48313928
What is the first derivative of -990154*c**3*k*n**2 + 531*c**3*n - 2*c**3 + 3064*c**2*n**2 - 4*c**2 - 2*c*n**2 + 112*k*n**2 wrt k?
-990154*c**3*n**2 + 112*n**2
Find the third derivative of -791*r**5 - 4247*r**4 - 3*r**2 + 869*r - 28.
-47460*r**2 - 101928*r
What is the third derivative of 83274364*z**4 - 86476351*z**2?
1998584736*z
What is the derivative of -49*p**2 + 114798*p - 38850853 wrt p?
-98*p + 114798
Find the second derivative of 145*m**3 - 31787*m**2 + 37461214*m.
870*m - 63574
Find the third derivative of -3244064*a**5 + 3*a**3 + 41*a**2 + 2*a + 7452.
-194643840*a**2 + 18
Find the first derivative of -25287729*k**2 + 18932661 wrt k.
-50575458*k
Find the third derivative of 61095060*x**3 - 58077892*x**2 wrt x.
366570360
Find the third derivative of 4044*f**5 - 787*f**3 + 198*f**2 + 7986.
242640*f**2 - 4722
What is the first derivative of 4547152*n**2*x**3 - 29*x**3 - 19369 wrt n?
9094304*n*x**3
Find the third derivative of -11891638*u**4 - u**2 + 229*u - 28993 wrt u.
-285399312*u
Differentiate 3*a**3 + 4*a**2 + 163830*a + 31870495 with respect to a.
9*a**2 + 8*a + 163830
Find the second derivative of o**4*v - 359816645*o**3*v - 4*o*v - 2266*o - 8461*v wrt o.
12*o**2*v - 2158899870*o*v
What is the second derivative of 197596531*m**2 + 15713*m + 8205?
395193062
What is the second derivative of 8*a**2*b**3 - 4*a**2*b - a*b - 9559*a - b**4 - 1217441*b**2 - 2 wrt b?
48*a**2*b - 12*b**2 - 2434882
What is the derivative of -6400*i**2 - 51*i + 14513308 wrt i?
-12800*i - 51
Find the second derivative of 14481389*o**2 + 2*o + 1784360 wrt o.
28962778
What is the second derivative of 15968256*s**5 - 2*s**4 + 2351595*s - 47 wrt s?
319365120*s**3 - 24*s**2
What is the third derivative of 286*n**3*w**2 + 3326*n**3 + 53*n**2*w - 110606*n*w**2 - n wrt n?
1716*w**2 + 19956
Find the second derivative of -119*f**2*s**2*v**2 + 990*f**2*s**2 + f**2*v - 2*f*s - 3*f - s**2 - 37*s*v**2 - 1007*s*v wrt s.
-238*f**2*v**2 + 1980*f**2 - 2
Differentiate 7969119*m**3 - 46245370 with respect to m.
23907357*m**2
What is the second derivative of 61559273*d**2 + 1446*d + 4517 wrt d?
123118546
What is the first derivative of f**3 + 24*f**2 + 16753*f - 70054772?
3*f**2 + 48*f + 16753
Find the third derivative of -94269860*l**3 - 35571505*l**2.
-565619160
Find the third derivative of 133700806*y**5 + 2161*y**2 + 16968 wrt y.
8022048360*y**2
What is the second derivative of 5394*l**5 - 5*l**3 + 2369*l**2 - 524728862*l wrt l?
107880*l**3 - 30*l + 4738
Find the first derivative of -4*k**4 - 32729015*k**2 - 54364201 wrt k.
-16*k**3 - 65458030*k
Find the second derivative of -124*t**3 + 74457*t**2 + 101*t - 209662 wrt t.
-744*t + 148914
What is the second derivative of 1966047*o**4 + 3775793*o wrt o?
23592564*o**2
Find the third derivative of 197511960*u**3 + 28168311*u**2 wrt u.
1185071760
Differentiate 90270504*k**3 + 14003404 with respect to k.
270811512*k**2
What is the third derivative of 395451760*f**4 + 1338*f**2 + 33647*f?
9490842240*f
What is the third derivative of -14129470*p**4 + 12815372*p**2 wrt p?
-339107280*p
What is the second derivative of 4*l**4*t**2 + 335505*l**3*t**2 - 1350619*l*t - 2*t**2 wrt l?
48*l**2*t**2 + 2013030*l*t**2
What is the second derivative of -41497486*o**4 - 90371017*o?
-497969832*o**2
What is the second derivative of 1138*g**3*j**2*q + 47*g**3*j*q + 56*g**3*q + 2*g**3 - 4*g**2*j*q + 550*g*j**2*q - 5*g*q + 2*j**2*q wrt j?
2276*g**3*q + 1100*g*q + 4*q
What is the first derivative of 182*l**2 + 2207*l - 9336616?
364*l + 2207
Find the second derivative of 2*c*l**2*y + c*l**2 + 2*c*l + 5*c*y - 1528*c - 739*l**2*y + 2959*l**2 - 2*l*y + l - 8*y - 6 wrt l.
4*c*y + 2*c - 1478*y + 5918
Differentiate -63886457*b - 216027689.
-63886457
Differentiate -78578*d*x + 112*d - 1411*x - 68527 with respect to x.
-78578*d - 1411
What is the second derivative of 3866*k**2*r*s**2 - k**2*s**2 - 3*k**2 + 14419*r*s**2 + 90785681*r*s wrt s?
7732*k**2*r - 2*k**2 + 28838*r
What is the second derivative of 4404458*j**2 - 17191734*j?
8808916
Find the third derivative of 41423670*n**5 - n**3 - 17*n**2 - 127706*n + 3 wrt n.
2485420200*n**2 - 6
What is the second derivative of 471792*q**5*v**3 + q**2*v**3 + 207769*q*v**2 - 7*v**3 wrt q?
9435840*q**3*v**3 + 2*v**3
Find the first derivative of 31211*o**2 + 270*o - 7214335 wrt o.
62422*o + 270
What is the third derivative of -4689972*g**3*p**2 + 1036*g**2*p + 5*p**2 + 454 wrt g?
-28139832*p**2
Find the first derivative of 347675806*g + 162719875 wrt g.
347675806
Find the | {
"pile_set_name": "DM Mathematics"
} |
re the prime factors of 5/(-15) + 98/6?
2
List the prime factors of (-2)/(-3) + 21/9.
3
Suppose 0*j - 16 = -j. Suppose -4*t + 2*b = 0, -2*t - 3*b + j = -0*t. Suppose 0 = m - 5*r - t, -4*m - 2 = -5*m + 3*r. What are the prime factors of m?
2
Let s(m) = 55*m**2 + m. What are the prime factors of s(-1)?
2, 3
Let x be 3 + 0 - 2 - -113. Suppose -x = 4*s + 2*b, -2*s - s - 4*b = 98. Let r = s - -38. List the prime factors of r.
2, 3
List the prime factors of 822/14 + 26/91.
59
Suppose 4 = -4*u + 12. Suppose u*p = 11 + 11. List the prime factors of p.
11
Let l = 18 - 24. What are the prime factors of (-21)/l*12/14?
3
Let f be 2/(-9) + 1540/45. Let k be f/10 + (-6)/15. Let m(g) = g**3 - 4*g**2 + 5*g - 2. What are the prime factors of m(k)?
2
Let z be (6/15)/(2/10). Let f be (z - 2)*(-3)/3. Suppose s - 7 = 4*t - 3*t, f = 2*s - 3*t - 9. List the prime factors of s.
2, 3
Let p(a) = 2*a**2 + 8*a - 6. List the prime factors of p(-7).
2, 3
Let x(y) = 3*y**2 + y - 1. Suppose 234 = -4*n - 2*u + 16, -2*n + u - 115 = 0. Let h be n/(-26) - (-2)/(-13). List the prime factors of x(h).
13
Suppose -4*y - 1 = -5*v, -2*v - 3*y = -4 + 22. List the prime factors of (6 - 22)*v/4.
2, 3
Let z(o) = 3*o + 24. What are the prime factors of z(9)?
3, 17
Let l(c) = 2*c - 15. Let s be l(10). Suppose s*t - 148 = -58. List the prime factors of t.
2, 3
Suppose 20 = -5*o - 0*o. List the prime factors of (6/o)/(9/(-12)).
2
Suppose 4*m = 2*m - w + 108, -3*m + 171 = -3*w. Let i(h) = -h**3 - 3*h**2 - 2*h - 3. Let c be i(-3). Suppose c = -4*a + m. What are the prime factors of a?
13
Let n = -11 + 8. Let o be ((-1)/n)/((-2)/(-12)). Suppose -u = o*u - 42. List the prime factors of u.
2, 7
Suppose 3*c + 1 = 7, -3*d + 97 = 5*c. List the prime factors of d.
29
Suppose 65 = -2*l - o, 0 = 3*l + 4*o + o + 108. Let i = l + 45. List the prime factors of i.
2, 7
Let a = 75 + 21. What are the prime factors of a?
2, 3
Let u(z) = -2*z**3 - 3*z**2. Let h be u(-2). Suppose 0*o = -h*o + 68. What are the prime factors of o?
17
Suppose 3*v + 48 = -4*z, -2*v + 8 = -0. List the prime factors of z/(-10) + 39/2.
3, 7
Let i = 9 + 13. What are the prime factors of i?
2, 11
Suppose 0 = 3*m - 33 + 120. What are the prime factors of 2 + -1 + (-7 - m)?
23
Suppose -46 = -4*z + 6. List the prime factors of z.
13
What are the prime factors of (-23)/(-2) - (-3)/(-6)?
11
Suppose 0 = -3*v - s + 23, -4*s + 4 + 11 = v. Let g = 2 + -1. Let z = v + g. List the prime factors of z.
2
Let x = -41 - -104. List the prime factors of x.
3, 7
Suppose 4*f + 278 = 4*p - 678, -5*p - f + 1195 = 0. List the prime factors of p.
239
Suppose -6*v + 4*v = 4. What are the prime factors of (4*-7 + 0)/v?
2, 7
Let q = 11 - 5. Let d = q + -1. What are the prime factors of d?
5
Let k(i) = -2*i - 4. Let n be k(-2). Suppose 2*b - 36 = -n*b. What are the prime factors of b?
2, 3
Let c(q) = -q - 6. Let z be c(-8). Suppose -2*o + o = -z. What are the prime factors of o?
2
Suppose -56 = -3*p - 14. Let b = -4 + p. List the prime factors of b.
2, 5
Let s = -14 - -13. List the prime factors of s*(-39 + -3)/2.
3, 7
Let o(i) be the third derivative of i**6/120 - i**5/15 - i**4/8 - i**3/3 - i**2. Let b = -10 + 15. List the prime factors of o(b).
2
Let r = 191 + -59. What are the prime factors of r?
2, 3, 11
Let f be 0/(9/(-3)) + -32. Let d = 50 + f. List the prime factors of d.
2, 3
Suppose -2*b + 4 = 0, n + 4*b - 69 + 13 = 0. What are the prime factors of n?
2, 3
Let p(u) = 5*u**2 - 7*u - 11. List the prime factors of p(5).
79
Let g = 13 + -7. Suppose -g = -5*r - v, -3 = -r - 3*v + 1. List the prime factors of 264/16 - r/(-2).
17
Let f(s) = s**3 + 3*s**2 + 2. Let n be f(-3). Suppose 0 = -n*h - h + 15. List the prime factors of h*(-1 + (1 - -1)).
5
Let i(o) = -50*o**3 - o - 1. Let r be i(-1). Let a = r - 29. What are the prime factors of a?
3, 7
Suppose 5*i = 2*y + 3*y + 80, 68 = 4*i - 5*y. Suppose -g = -i - 5. What are the prime factors of g?
17
Let n be (-4)/18 + (-38)/(-9). Suppose 0 = -5*z + 4*q + 47, -z - n*z + 3*q = -49. What are the prime factors of z?
11
Let z(f) = f**2 - 4*f - 2. Suppose 4*o = -i + 10, 2*i - 5*i + 2*o + 16 = 0. What are the prime factors of z(i)?
2, 5
Let t(w) = -11*w + 8. List the prime factors of t(-6).
2, 37
Let h(g) = g**3 + 7*g**2 - g. Let t = -29 + 23. What are the prime factors of h(t)?
2, 3, 7
Let b be (1 - 3)*(-2 + 1). Suppose b = -5*s + 6*s. What are the prime factors of s*-2*(-3)/6?
2
Let s = -5 - -9. Suppose b = 2*v - 16, -5*b + 60 = -0*v + s*v. List the prime factors of v.
2, 5
Let m(z) = z**2 - 5*z + 3. Let i be m(5). Suppose i*s - 30 = -2*s. Let y = s + 2. List the prime factors of y.
2
List the prime factors of 9/(4 + (-562)/142).
3, 71
Let h = -5 + 8. Let g(k) = 3*k - 2. List the prime factors of g(h).
7
Suppose m = 4*p - 131, -3*p = -p + 2*m - 68. Suppose 3*i - 12 = p. What are the prime factors of i?
3, 5
Suppose -q - 3*o + 36 = 2*o, 4*q + o - 49 = 0. List the prime factors of q.
11
Let l(s) = -s**3 - 5*s**2 - 3*s - 2. Suppose -5*c - 3 = 17. Let b be l(c). Let u(x) = x**3 + 7*x**2 + 7*x + 9. What are the prime factors of u(b)?
3
Suppose -63 = -3*d - 3*z, -3*d - 4*z = -d - 32. Let v be ((-30)/9)/(4/(-6)). Suppose v*t = h + h + d, 5*h = 10. List the prime factors of t.
2, 3
List the prime factors of -1*(-25)/(-10) - (-1034)/4.
2
Suppose 4*y = 3*y. Suppose 32 = 4*f - 2*u - 94, y = -3*f - u + 102. What are the prime factors of f?
3, 11
What are the prime factors of 2 + -7 - (-14 - -5)?
2
Let x(l) = l - l - 8*l - 4 - l**2. List the prime factors of x(-6).
2
Let q = 6 + -4. Suppose 0 = q*r + 2 - 26. List the prime factors of r.
2, 3
Suppose 10*d - 40 = 5*d. Let v = d + -13. Let p = 7 + v. What are the prime factors of p?
2
Let l(r) = r**3 + 6*r**2 + 5*r + 3. Let c be (6 - (-2 - -2))/(-2). What are the prime factors of l(c)?
3, 5
Suppose 46 = -f - f. Let z = f + 34. What are the prime factors of z?
11
Let p(u) be the first derivative of u**3/3 + 3*u**2 + 10*u - 1. What are the prime factors of p(-7)?
17
Let s be ((-2)/8)/(1/(-12)). Let u(r) = 2*r**3 - 3*r**2 + 2*r - 4. Let y be u(s). Suppose -w + 49 = 3*h, h + 4*w + 9 = y. What are the prime factors of h?
2
Let w be ((-2)/1)/((-2)/3). Suppose w*i = -5*j + 17, j + 0*j = 1. What are the prime factors of i?
2
Suppose -3*z - 3*a - 6 = 0, 3*z + 18 = -5*a + 2. List the prime factors of z.
3
Let p(k) = 6. Let m(y) = -y - 7. Let n(o) = -2*m(o) - 3*p(o). What are the prime factors of n(5)?
2, 3
Let k(d) = -d**2 + 43*d + 8. What are the prime factors of k(7)?
2, 5, 13
What are the prime factors of -1 + 1 + 0 + 76?
2, 19
Suppose 5*f + 20 = -4*v + 2*f, 44 = -3*v + 5*f. Let u = 11 + v. List the prime factors of u.
3
Let i(t) = t + 1. What are the prime factors of i(6)?
7
Let f be 4 - (12/(-3))/4. Suppose 2*n - 46 + 0 = f*x, 5*n - 94 = 2*x. List the prime factors of n.
2, 3
Suppose d = 31 + 4. Let r = d - 9. What are the prime factors of r?
2, 13
Suppose 0 = -d + 16 - 3. List the prime factors of d.
13
Suppose -5*k = -4 - 21. Let b = 12 - k. List the prime factors of b.
7
Let n(a) = -a**3 + 9*a**2 + 7*a - 10. List the prime factors of n(9).
53
What are the prime factors of 1/(-4) + 6325/20?
2, 79
Let t be 1 + 4 + 1/(-1). Let y = t - 1. List the prime factors of (-2 + y)/1 + 11.
2, 3
Let b = 4 + 2. Let n = 0 + b. List the prime factors of n.
2, 3
Let t(s) = s - 1. Suppose 2*j + 1 = 3*x, -j = 2*x - 0*j + 4. Let v(w) = 7*w - 16. Let y(p) = x*v(p) + 6*t(p). List the prime factors of y(0).
2, 5
Let f = -77 + 153. What are the prime factors of f?
2, 19
Let f(k) = k**2 + 5*k + 6. Let z(o) = o**2 + 5*o + 7. Let n(r) = 5*f(r) - 4*z(r). List the prime factors of n(-5).
2
Suppose -84 = -d + 5*d. Let p = d + -6. Let r = p + 38. List the prime factors of r.
11
List the prime factors of ((-24)/(-42))/((-6)/(-1113)).
2, 53
Suppose -3*o + 27 = -0*o. Suppose 6*m + 2*g = 3*m + 59, 4*m - 5*g - 94 = 0. Let f = m - o. What are the prime factors of f?
2, 3
Suppose -4*j + n + 0*n = 15, -2*n = -2*j. Let h = 3 + j. What are the prime factors of 1/1 - (0 + h)?
3
What are the prime factors of (34/4)/(10/20)?
17
Suppose 0 = -3*l + 4*j + 104, -5*l + 3*j = -l - 148. List the prime factors of l.
2, 5
Suppose 6 = 3*x - 0. What are the prime factors of x?
2
Let v(u) be the second derivative of -u**5/20 - u**4/3 + u* | {
"pile_set_name": "DM Mathematics"
} |
Let o be z(-9). Let d be 1/(-3)*(-63)/o. Calculate l(d).
-3
Suppose -5*x = -2*s + 7*s, 2*x = 3*s. Let p(g) = g**2 + 5. What is p(x)?
5
Let x(s) = -s**2 + 2*s + 5. Let j(i) = -12*i**2 - 6*i - 10. Let k(r) = -j(r) - 2*x(r). Calculate k(-1).
12
Let m(n) = -2*n + 3. Let u be 114/27 + (-6)/27. Let w be -2 - (196/u - 1). Let l be w/18 - 10/45. Give m(l).
9
Let y(w) = 27*w + 29. Let x(l) = 14*l + 17. Let k(z) = 11*x(z) - 6*y(z). Determine k(4).
-19
Let c(o) be the second derivative of -o**3/6 - o**2/2 + 27*o. Let r(w) = 2*w**3 - 5*w + 4*w**2 - w + 1 - w**3 - 2. Let s be r(-5). Determine c(s).
-5
Let r(b) = b**2 - 2*b - 3. Suppose 2*h - 16 = -3*h - 2*x, 0 = -5*h + 5*x - 5. Let k(u) = u**2 - 3*u - 2. Let q(w) = h*k(w) - 3*r(w). Give q(4).
-11
Let i(v) be the second derivative of -v**4/12 + v**3/2 + v**2 + 3*v. Suppose 4*c - 46 = -r - 5, 60 = 5*c + 3*r. Let n = c + -5. Calculate i(n).
-2
Let h = -11 + 15. Suppose 0 = -4*w + 5*d - 6 - 8, 4*w + 12 = h*d. Let i be -9*2/6*w. Let t(g) = g**2 - 2*g + 1. What is t(i)?
4
Suppose -14 = 3*y + 2*i, 0*y = -y + 2*i - 2. Let s(t) = -t**2 + t + 16. Calculate s(y).
-4
Suppose 0*q - 8 = 2*q. Let n(i) = 114 - i - 64 - 55. Calculate n(q).
-1
Suppose 2*b + 2*y - 6 = 0, -4*b + 0*y + 4 = -4*y. Let r(j) = 2 - b*j**2 + 4*j**2 + 2*j + 1 + 2*j**3 + 0*j**2. Calculate r(-2).
-9
Let g(u) = 2*u - 4 - 2*u - u - u**2. Suppose 0 = 5*h + 16 - 76. Suppose 5*r - 4*z = -h, r - z = 4*z - 15. What is g(r)?
-4
Let k(m) = 6*m - 6. Let s be k(2). Let r(p) = -p - 4*p + 2*p + 2*p + 6 + 6. Give r(s).
6
Let d(o) = o**2 - 8*o + 28. Let z(c) = -3*c**2 + 14*c - 57. Let h(f) = 5*d(f) + 2*z(f). Determine h(-14).
-2
Let k(l) be the third derivative of -7*l**5/30 + 33*l**2. What is k(-1)?
-14
Let t = -1 - -5. Let y(p) = -4 + t*p**2 + 4*p - 1 + p**3 + 4. Let i = -110 - -107. Calculate y(i).
-4
Let o(c) = 8 - 26 + 4*c + 19. Determine o(2).
9
Let m(u) be the second derivative of -u**4/12 + 13*u**3/6 - 12*u**2 - 4*u. Let i be m(11). Let v(t) = t**2 + 5*t + 1. Give v(i).
-5
Suppose 4*l + 12 - 69 = 5*b, -l + 12 = -b. Let w be (3 - (b - -1))*1. Suppose 14 = p - 5*n, -n + 3 + w = 4*p. Let i(x) = -x**2 + 4*x - 5. Determine i(p).
-5
Let s be ((-7)/3)/((-50)/150). Let v(o) = o**2 - 10*o - 9. Determine v(s).
-30
Let j(b) = 2*b - 5 + 6 + 0. Let u(r) = 7*r + 9. Let l(n) = 4*j(n) - u(n). Let w = 10 - 6. Give l(w).
-1
Let b(h) be the second derivative of h**3/6 - 5*h**2/2 + 9*h - 1. Let k = 4 + -8. Calculate b(k).
-9
Let s(w) = -w**3 - w**2 - w - 4. Let f(p) = 2*p**3 + p**2 + 2*p + 9. Let z = 2 + -5. Let j(o) = z*f(o) - 7*s(o). What is j(-3)?
7
Let f(h) = 7*h**2 - 1 - 6*h + 2*h**3 + 7*h**2 - 1 - 9*h**2 - h**3. What is f(-6)?
-2
Let k(y) be the third derivative of y**6/720 - y**5/30 + y**4/8 + 17*y**2. Let j(x) be the second derivative of k(x). What is j(9)?
5
Let j(m) = m**3 - m**2 + 4*m + 3. Let b = -42 - -27. Let w be (-4)/(-10)*b/3. What is j(w)?
-17
Let l(j) = j + 7. Let b = 1 - 1. Let t(r) = -r + 7. Let x be t(3). Suppose b = -4*c + x*u - 28, -3*c - 3*u + u = 11. Calculate l(c).
2
Let b be (18/(-15))/(4/((-200)/15)). Let v(w) = -15*w. Determine v(b).
-60
Let w(u) = u**2 - 5*u - 2. Let b be w(4). Suppose -3*o - 4*q + 47 = -40, -4*o + 85 = -5*q. Let k(a) = o + a + a - 8 - 8. Give k(b).
-3
Let r be -11 - (-8 + (-9)/(-3)). Let t(c) = c**3 + 5*c**2 - 9*c - 6. Calculate t(r).
12
Let f be 276/322*(-7)/1. Let l(u) = -u**2 - 10*u - 7. Give l(f).
17
Let y(b) = 21 - 95*b**2 - 24 + 185*b**2 - 96*b**2 + 3*b. Let t(h) = h**2 + 6*h + 7. Let q be t(-5). Give y(q).
-21
Let n(q) = q**3 - 7*q**2 - 8*q + 9. Suppose 3*z = 2*z + 8. Give n(z).
9
Let i(o) = -30*o - 10. Let v(m) = -4*m - 1. Let w(d) = i(d) - 8*v(d). Suppose -2*u + 3*u = -2. Determine w(u).
-6
Let r(l) = -7*l + 2. Let o = -71 + 73. What is r(o)?
-12
Let v(y) = 2*y**2 - 3*y. Let h be (4/(-2))/(-2) - -7 - 4. What is v(h)?
20
Let g(q) = -9*q - 2. Let z(x) = x - 1. Let n(b) = -g(b) - 5*z(b). What is n(-5)?
-13
Suppose -2*r + 27 = 3*h, 5*h = -r - 10 + 27. Let k(j) = -6*j**2 + 7*j - r*j - 3 + 4*j + 4. Give k(1).
-6
Let t(v) = -v - 15. Let z(b) = -4*b**3 - 4*b**2 + 4*b - 1. Let q be z(1). Determine t(q).
-10
Let n(k) = k**3 - 3*k**2 - 4*k - 2. Suppose -44 = 7*l - 79. Calculate n(l).
28
Let o(r) = -r - r - 9 + 3 - 2*r. Let m = -71 + 67. Calculate o(m).
10
Let w = 1882 + -1876. Let r(c) = 9*c - 11. Calculate r(w).
43
Let t(f) = 2*f - 5 + 1 - 6. Let l be 1/((-4)/(-468)*-3). Let o = 46 + l. Determine t(o).
4
Let o(k) = 4*k - 3*k - 3 - 9. Suppose -4*m - 18 = -2*t, 6 = 6*t - t + 3*m. Suppose 5*p = -5*h + 15, 5*p + 0*p - t*h = 31. Calculate o(p).
-7
Let b = -718 + 738. Let q(n) = n**3 - 19*n**2 - 18*n - 33. Give q(b).
7
Let b(f) = -2*f + 6. Let v(m) = -6 + m - 10 + 23. Let r be v(-7). Let q = r - -4. Determine b(q).
-2
Let h(g) = -g + 3. Let r(x) = -5*x**2 + 18*x - 22. Let b be r(2). Give h(b).
9
Suppose 5*a - 5*j = 45, -2*a - a + 4*j + 32 = 0. Let b(f) = 6*f - 2 + f**3 + 14*f - 23*f - 3*f**2. What is b(a)?
2
Suppose 2*w + 5*r = 3 + 7, 4 = -4*w - 4*r. Let l be (-50)/w*(1 + 6/(-4)). Let h(b) = b**2 + 3*b - 7. Determine h(l).
3
Let p(o) be the second derivative of -o + 0 + o**2 + 1/6*o**3 - 1/12*o**4. Let f be (12/8)/((-1)/(-2)). Give p(f).
-4
Let r(y) = -380*y**3 + 5 + 6*y**2 + 190*y**3 + 189*y**3 - y + 0*y. Give r(5).
25
Let i(r) = -r - 6. Let b be i(-3). Let y = -10 - b. Let x(p) = p**2 + 10*p - 1. What is x(y)?
-22
Let u(a) be the second derivative of a**4/12 - a**3/2 + 7*a**2/2 - 2*a + 32. Calculate u(7).
35
Let m(z) = z**2 + 10*z + 6. Let b = -66 - -58. Calculate m(b).
-10
Let c be 80/30*(-9)/(-4). Let y be (-69)/(-2)*c/9. Suppose -4*x = 3*o + y, -x - 4 = 3*o + 4. Let m(z) = -4*z - 5. Determine m(x).
15
Let c(o) = -o**3 + 7*o**2 - 7*o + 1. Let i be (-2)/(-4) - 3/(-2). Let h be 4/1 - i - (-20 - -16). Calculate c(h).
-5
Suppose 5*g + 0*x = -x - 14, -4 = -4*x. Let q(b) = -b**2 - 9*b + 8. Let n(f) = -2*f**2 - 17*f + 16. Let i(t) = g*n(t) + 5*q(t). Determine i(-8).
8
Let h(s) = -s**3 - 8*s**2 - 2*s + 10. Suppose -29*y = -16*y + 91. Determine h(y).
-25
Let n(m) = 32649*m - 32650*m + 5 - 9. Give n(-1).
-3
Let c(p) = -p**3 + 7*p**2 - 6*p - 1. Suppose 13*a - 48 = 5*a. Give c(a).
-1
Suppose 20 = -2*a - 2*a. Let k(v) be the first derivative of -v**4/4 - 2*v**3 - v**2 + 2*v - 126. Give k(a).
-13
Let i be (-48)/40*(-15)/9. Let a(n) = 4*n - 3*n**2 - 6*n - i*n**2 + 0*n**2 - n**3. Determine a(-5).
10
Let s(r) = 183 + 176 - 358 - r. Give s(8).
-7
Let h(n) be the second derivative of n**5/20 + n**4/3 - n**3 - n**2 - n. Let y be (-7)/(-15)*-3*-5. Suppose y*f = 3*f - 20. Determine h(f).
3
Suppose -37 - 51 = -4*w. Let j = -9 + w. Let a(d) = d**2 - 5 + 3*d - 5 + j. Determine a(-3).
3
Let p(g) = 1. Let y(d) = 2*d + 1. Let j(r) = 1. Let a(k) = k - 1. Let n(i) = a(i) - 2*j(i). Let l be n(2). Let o(f) = l*y(f) + 4*p(f). Calculate o(-6).
15
Let q(j) = -j**3 + 7*j**2 - 10*j + 2. Let g be q(5). Let t(r) = r + 0*r**2 + 0*r**2 + 0*r**g - 10*r**2. Give t(1).
-9
Let x(m) = 3*m**2 + 7*m + 2. Let w(p) = 5*p**2 + 10*p + 3. Let s(j) = -5*w(j) + 8*x(j). What is s(4)?
9
Suppose 0 = 2*t - 3*k - 27, 2*t + t - 40 = 4*k. Suppose -2*m + t = -4*m. Let n be 0 + 9/((-27)/m). Let d(b) = -b**3 + 3*b**2 - 4*b + 2. Calculate d(n).
-2
Let o(x) = -644*x + 644*x - 2*x**2. What is o(3)?
-18
Let n be ((-3)/6)/((-21)/(-42)). Let h(i) = 5*i**2 - 2*i + 1 + 3*i + 0*i. What is h(n)?
5
Let a(j) = 4*j**2 - j - 1. Suppose -3*x = -2*c + 17, 2*c - 5*x - 7 = -4*x. What is a(c)?
2
Let b(v) be the first derivative of 1/3*v**3 - 12 + v**2 - 5*v. What is b(-3)?
-2
Let m(v) be the first derivative of v**3/3 - v**2 - 10*v + 8. Let i(q) be the first derivative of m(q). Let u be (24/(-9))/((-6)/(-9)). What is i(u)?
-10
Let t(b) = 35 - 4*b**2 + 4*b + 15*b - 28*b - b**3 + 12*b - 9*b**2. What is t(-13)?
-4
Let z(f) be the first derivative of -f**3/3 + 4*f**2 - 4*f - 200. Give z(3).
11
Let y(s) = -s**3 - 3*s**2 + 3*s. Let m = 24 + -28. What is y(m)?
4
Suppose g - 2*k = k + 5, g + 2*k = 0. Let p(x) = x + 6. Let w(j) = 2*j + 12. Let z(r) = g*w(r) - 5*p(r). Calculate z(-5).
-1
Suppose 0 = 5*n - 2*y - 10, -2 = -n - y - 0. Let q(s) = -1 - s + n + 1. Suppose 9*b - 4*b + 30 = 0. Calculate q(b).
8
Let h(u) = u - 8. Let x(c) = c**3 + 22*c**2 + 21*c - 5. Let f be x(-21). Determine h(f).
-13
Let i(z) = -z**3 + 4*z**2 | {
"pile_set_name": "DM Mathematics"
} |
186?
-3*x**2 + 3*x + 222
What is the a'th term of -40, -124, -264, -460, -712, -1020?
-28*a**2 - 12
What is the z'th term of 137, 131, 105, 47, -55, -213?
-2*z**3 + 2*z**2 + 2*z + 135
What is the z'th term of -8, 2, 12, 22?
10*z - 18
What is the z'th term of 263, 278, 275, 242, 167?
-2*z**3 + 3*z**2 + 20*z + 242
What is the f'th term of 548, 545, 542?
-3*f + 551
What is the p'th term of -1, -11, -43, -109, -221?
-2*p**3 + p**2 + p - 1
What is the v'th term of 111, 172, 233?
61*v + 50
What is the d'th term of 662, 1363, 2064?
701*d - 39
What is the m'th term of -305, -295, -269, -221, -145, -35, 115, 311?
m**3 + 2*m**2 - 3*m - 305
What is the m'th term of 650, 652, 656, 662, 670?
m**2 - m + 650
What is the b'th term of -1013, -1008, -1003, -998?
5*b - 1018
What is the b'th term of 116, 126, 148, 188, 252?
b**3 + 3*b + 112
What is the r'th term of -121, -328, -621, -1000, -1465?
-43*r**2 - 78*r
What is the j'th term of 26, 29, 32, 35, 38?
3*j + 23
What is the s'th term of 26, 26, 20, 2, -34?
-s**3 + 3*s**2 - 2*s + 26
What is the a'th term of 1313, 2625, 3937, 5249, 6561, 7873?
1312*a + 1
What is the z'th term of 6, 21, 34, 39, 30, 1?
-z**3 + 5*z**2 + 7*z - 5
What is the x'th term of 183, 138, 71, -12, -105?
x**3 - 17*x**2 - x + 200
What is the n'th term of -5859, -5865, -5873, -5883, -5895?
-n**2 - 3*n - 5855
What is the f'th term of 297, 301, 305, 309?
4*f + 293
What is the w'th term of 615, 612, 607, 600?
-w**2 + 616
What is the b'th term of -16, -52, -112, -196, -304?
-12*b**2 - 4
What is the h'th term of 49, 91, 161, 259, 385?
14*h**2 + 35
What is the m'th term of 29, 15, -13, -61, -135, -241?
-m**3 - m**2 - 4*m + 35
What is the r'th term of -1, -10, -41, -106, -217, -386?
-2*r**3 + r**2 + 2*r - 2
What is the j'th term of -977, -976, -975, -974?
j - 978
What is the f'th term of -319, -617, -915?
-298*f - 21
What is the l'th term of 29, 54, 91, 140, 201?
6*l**2 + 7*l + 16
What is the l'th term of 14, 28, 66, 140, 262, 444, 698, 1036?
2*l**3 + 12
What is the k'th term of 2875, 2867, 2859, 2851?
-8*k + 2883
What is the g'th term of 46, 179, 400, 709?
44*g**2 + g + 1
What is the s'th term of -843, -838, -833, -828, -823, -818?
5*s - 848
What is the a'th term of -84, -61, -38, -15, 8, 31?
23*a - 107
What is the s'th term of -173, -184, -201, -224?
-3*s**2 - 2*s - 168
What is the x'th term of 27, 16, -1, -18, -29, -28, -9?
x**3 - 9*x**2 + 9*x + 26
What is the a'th term of -27, -61, -97, -135, -175?
-a**2 - 31*a + 5
What is the y'th term of -647, -652, -657, -662, -667?
-5*y - 642
What is the v'th term of 29, 29, 31, 35, 41, 49, 59?
v**2 - 3*v + 31
What is the f'th term of 98, 162, 270, 422, 618?
22*f**2 - 2*f + 78
What is the l'th term of -434, -435, -432, -419, -390, -339, -260, -147?
l**3 - 4*l**2 + 4*l - 435
What is the j'th term of -31, -42, -53, -64?
-11*j - 20
What is the g'th term of 16, 57, 126, 223?
14*g**2 - g + 3
What is the j'th term of -5942, -5941, -5940?
j - 5943
What is the i'th term of 29, 116, 265, 476, 749, 1084, 1481?
31*i**2 - 6*i + 4
What is the n'th term of 48, 116, 228, 384, 584?
22*n**2 + 2*n + 24
What is the k'th term of 66, 93, 108, 99, 54, -39, -192, -417?
-2*k**3 + 6*k**2 + 23*k + 39
What is the v'th term of 19380, 19382, 19386, 19392?
v**2 - v + 19380
What is the d'th term of 4025, 4033, 4043, 4055, 4069?
d**2 + 5*d + 4019
What is the r'th term of -11, -11, 3, 43, 121, 249, 439, 703?
2*r**3 - 5*r**2 + r - 9
What is the w'th term of 4, 20, 58, 130, 248, 424, 670, 998?
2*w**3 - w**2 + 5*w - 2
What is the z'th term of -49, -113, -193, -295, -425, -589, -793, -1043?
-z**3 - 2*z**2 - 51*z + 5
What is the b'th term of 235, 225, 215, 205, 195, 185?
-10*b + 245
What is the x'th term of 14, 74, 240, 566, 1106, 1914, 3044, 4550?
9*x**3 - x**2 + 6
What is the o'th term of -112, -230, -350, -472, -596, -722?
-o**2 - 115*o + 4
What is the s'th term of -737, -1314, -1879, -2426, -2949, -3442, -3899?
s**3 - 584*s - 154
What is the i'th term of -56, -71, -86?
-15*i - 41
What is the d'th term of -465, -468, -451, -402, -309, -160?
2*d**3 - 2*d**2 - 11*d - 454
What is the d'th term of 3, 9, 19, 33, 51, 73?
2*d**2 + 1
What is the b'th term of 603, 604, 607, 612, 619?
b**2 - 2*b + 604
What is the x'th term of 52, 99, 146, 193?
47*x + 5
What is the h'th term of 619, 618, 615, 610?
-h**2 + 2*h + 618
What is the v'th term of -41, -58, -85, -122, -169?
-5*v**2 - 2*v - 34
What is the p'th term of -77, -146, -215?
-69*p - 8
What is the v'th term of -1224, -1227, -1232, -1239, -1248, -1259?
-v**2 - 1223
What is the q'th term of 12, 14, 8, -6, -28, -58?
-4*q**2 + 14*q + 2
What is the x'th term of 6, 9, 8, 3, -6, -19?
-2*x**2 + 9*x - 1
What is the s'th term of -206, -411, -616?
-205*s - 1
What is the t'th term of -73463, -73462, -73461, -73460, -73459, -73458?
t - 73464
What is the d'th term of -7705, -7707, -7709, -7711, -7713?
-2*d - 7703
What is the m'th term of 5, -4, -15, -28, -43, -60?
-m**2 - 6*m + 12
What is the r'th term of 1347, 2692, 4039, 5388, 6739, 8092?
r**2 + 1342*r + 4
What is the m'th term of -8, 10, 62, 166, 340, 602?
3*m**3 - m**2 - 10
What is the w'th term of -3, 29, 113, 273, 533?
4*w**3 + 2*w**2 - 2*w - 7
What is the c'th term of 198, 200, 202, 204?
2*c + 196
What is the d'th term of -52, -109, -166?
-57*d + 5
What is the h'th term of 39, 21, 5, -9, -21?
h**2 - 21*h + 59
What is the k'th term of -9, -24, -55, -108, -189, -304, -459?
-k**3 - 2*k**2 - 2*k - 4
What is the r'th term of 46, 70, 94, 118?
24*r + 22
What is the o'th term of -720, -710, -686, -642, -572?
o**3 + o**2 - 722
What is the h'th term of 44, 134, 290, 518, 824, 1214, 1694, 2270?
h**3 + 27*h**2 + 2*h + 14
What is the m'th term of 4, -16, -40, -62, -76, -76, -56, -10?
m**3 - 8*m**2 - 3*m + 14
What is the y'th term of 418, 835, 1254, 1675?
y**2 + 414*y + 3
What is the c'th term of -20, -22, -24?
-2*c - 18
What is the l'th term of 11, 13, 17, 23, 31, 41, 53?
l**2 - l + 11
What is the v'th term of 7598, 7599, 7600, 7601, 7602?
v + 7597
What is the u'th term of -1942, -1946, -1950, -1954, -1958, -1962?
-4*u - 1938
What is the i'th term of -211, -216, -233, -268, -327, -416, -541?
-i**3 + 2*i - 212
What is the m'th term of -57, -172, -287, -402, -517?
-115*m + 58
What is the v'th term of 814, 1630, 2446, 3262?
816*v - 2
What is the b'th term of 231, 229, 239, 267, 319, 401, 519, 679?
b**3 - 9*b + 239
What is the x'th term of -130, -133, -138, -145, -154?
-x**2 - 129
What is the o'th term of 63, -30, -123?
-93*o + 156
What is the h'th term of 31, 64, 97, 130?
33*h - 2
What is the h'th term of -125, -140, -179, -254, -377, -560, -815?
-2*h**3 - h - 122
What is the y'th term of -12, -163, -568, -1353, -2644, -4567?
-21*y**3 - y**2 - y + 11
What is the q'th term of 98, 197, 296, 395?
99*q - 1
What is the r'th term of 20, 64, 140, 248?
16*r**2 - 4*r + 8
What is the t'th term of 43, 45, 47, 49?
2*t + 41
What is the b'th term of 22630, 22636, 22652, 22684, 22738, 22820, 22936?
b**3 - b**2 + 2*b + 22628
What is the m'th term of -26, -13, 0, 13, 26, 39?
13*m - 39
What is the s'th term of 95, 87, 69, 35, -21, -105, -223?
-s**3 + s**2 - 4*s + 99
What is the z'th term of 1163, 1157, 1141, 1109, 1055, 973?
-z**3 + z**2 - 2*z + 1165
What is the q'th term of 55, 102, 163, 244, 351, 490, 667?
q**3 + q**2 + 37*q + 16
What is the x'th term of -57, -210, -465, -828, -1305, -1902, -2625?
-x**3 - 45*x**2 - 11*x
What is the i'th term of 64, 154, 236, 304, 352, 374?
-i**3 + 2*i**2 + 91*i - 28
What is the p'th term of 733, 731, 727, 721?
-p**2 + p + 733
What is the r'th term of -130, -524, -1180, -2098, -3278?
-131*r**2 - r + 2
What is the w'th term of -147, -140, -137, -144, -167, -212, -285, -392?
-w**3 + 4*w**2 + 2*w - 152
What is the t'th term of -206, -398, -592, -788, -986?
-t**2 - 189*t - 16
What is the a'th term of 25, 16, 9, 4, 1, 0?
a**2 - 12*a + 36
What is the h'th term of 122, 228, 312, 362, 366, 312, 188?
-2*h**3 + h**2 + 117*h + 6
What is the s'th term of -14, 1, 26, 67, 130, 221, 346, 511?
s**3 - s**2 + 11*s - 25
What is the o'th term of -47, -216, -503, -908, -1431?
-59*o**2 + 8*o + 4
What is the m'th term of 3, -9, -37, -87, -165, -277?
-m**3 - 2*m**2 + m + 5
What is the l'th term of 4, 21, 38, 55, 72, 89?
17*l - 13
What is the o'th term of -11634, -11635, -11646, | {
"pile_set_name": "DM Mathematics"
} |
+ 5*r - k for h.
4
Let a = 1607 + -1602. Solve -2*b + 12 = 3*j, 0 = -2*b + 2*j - a - 3 for b.
0
Suppose -4*j = -y - 6*j + 7, 3*y + 3*j - 18 = 0. Solve 0 = -4*p + 2*t + 2, 6*t = -y*p + t - 5 for p.
0
Suppose 0*o = 3*g - o - 13, -g - 4*o = 0. Let k = g + 1. Let n be (0/((-28)/(-2)))/(1 + 0). Solve j - 3*j - 8 = b, k*b - 10 = n for j.
-5
Suppose -2*h - 2*h = 2*k - 12, -3*k - 4*h + 16 = 0. Suppose 2*b - 5*g = 7 + 5, 47 = 5*b - k*g. Solve -4*x = 2*i - x + b, -2*x - 10 = 0 for i.
2
Let p = 117 + -117. Solve -5*q = 5*f + 50, -15 = 2*f - p*f + q for f.
-5
Let a(s) = s**3 - 2*s**2 + s + 1. Let o be a(2). Suppose 3*w + 0 = -2*v - 2, 5*w + 12 = v. Solve u + r + v = 0, 0 = -4*u + r - o*r - 2 for u.
1
Let w = -793 - -796. Solve 4*p - 6 = -d + 14, 2*p = -w*d + 10 for d.
0
Suppose -5*h - 21 + 29 = 2*q, h = -2*q. Let d(p) = -p**3 - 3*p**2 - 3. Let g be d(-3). Let c be 0*(-1 - 0) - g. Solve -h*r + 2*u = 10 + 2, c*r + u = -2 for r.
-2
Let o(z) = 3*z**2 - 15*z - 12. Let q be (-62)/(-8) - (-2)/8*-3. Let d be o(q). Solve -2*u - 3*u + d = -5*k, -10 = 5*u + 3*k for u.
1
Suppose -2*o + 4*d + 4 = 0, 9 = -2*o - 5*d + 4. Solve -2*w + h - 3 = 0, o*w - 4*w = 3*h + 31 for w.
-4
Let l(k) be the first derivative of 2*k**3/3 - 13*k**2/2 + 8*k - 24. Let i be l(6). Solve -i*y = 3*t - 11 - 5, 0 = -t - 3*y + 10 for t.
4
Let o be (-21)/35 + 2/(-5). Let k be ((-8)/(-6))/(o/3). Let d be 1/k + (-85)/(-4). Solve 5*h - u + d = 0, -15 = 3*h - 3*u - 0 for h.
-4
Let u be 4/(-10) + (216/10)/9. Solve 4*r + 5 = u*a - 13, -5*a - 30 = 5*r for r.
-5
Suppose -16 = v - 7. Let f = v + 7. Let o = 0 - f. Solve 4*d = -k - 6, 4*d + 2*k = d - o for d.
-2
Suppose 68*o = 28*o + 160. Solve 4*i - 20 = o*s, 2*s = -2*s - 20 for i.
0
Let k(u) = 2*u**3 - 3*u**2 - 7*u - 1. Let q be k(3). Solve m + o + q = -2*o, -2*m - 10 = -3*o for m.
-5
Let f(q) = 23*q - 138. Let p be f(6). Solve 4*a - 5*k + 8 = p, 0 = -3*a + 5*k - 1 - 5 for a.
-2
Let c = -113 + 114. Solve -5*v - 2*g - c + 0 = 0, -5*g = -5*v - 15 for v.
-1
Let z(h) = -6*h - 234. Let a be z(-39). Solve a = -s - 0*y - 2*y + 3, 2*s - 4*y = 6 for s.
3
Let s(p) = p**2 - 6*p - 6. Let a be s(-6). Let n = -47 + a. Solve -l - 5*z = -23, 5*l + 3*z = 2*z + n for l.
3
Let m = 13 + -8. Suppose -34 = -2*h - 2*v + 4*v, -65 = -m*h + v. Let b be 63/h + 2/(-8). Solve -y - 3 = 2*i - 7, 4*y + 10 = b*i for y.
0
Let c be (21/(-7) + 4)*3. Solve 3*w + 2*a - 21 = 0, -7 = -c*w + w + a for w.
5
Let f(g) = -14*g**3 + g**2. Let h be f(-1). Let m(z) = z**2 - 15*z + 5. Let r be m(h). Solve 0*d + r*v - 17 = d, -3 = -v for d.
-2
Suppose -34*g + 33*g + 63 = 0. Let p = g - 61. Solve 0 = -0*h - h - 4*z + 5, 5*z = 3*h + p for h.
1
Let h = -44 - -30. Let f = h - -20. Suppose 19 = -u + f*u - 2*m, u = -m + 1. Solve 0 = -6*p + p - u*c + 25, 3 = -p + c for p.
2
Let y = 82 - 79. Solve -2*x = -y*o - 15, -6*x + 6 = -4*x for o.
-3
Let k be 194/(-2231) - (-188)/46. Suppose -2*r - 8 = -l, 4*l + 2*r = 2*l + 28. Solve 2 = 2*f - 5*t + k, f + 4*t = l for f.
4
Let f be ((-54)/(-9))/(3/2). Let h be 0*(2 - (-3 + f)). Solve s + 21 = -5*y, h = 2*y + 2*s + 10 for y.
-4
Let x be 18/(-45) - (-4)/10. Suppose -4*p - 3*l = l - 16, x = 3*l + 12. Suppose 2*j - p = -2*j. Solve -j*w = -3*q - 16 - 6, -6 = 2*w + 4*q for w.
5
Suppose 0 = 5*h - 5*z + 70 + 75, -63 = 3*h + 3*z. Let r = 10 + h. Let i = 15 + r. Solve -k + 14 = -3*g, -2*k + i*g + 13 = -g for k.
5
Let b(q) = 5*q**2 + 12*q - 6 - 4*q**2 + 1. Let a be b(-13). Let p be (a - 1/1) + -2. Solve -l = 4 - 5, -p*m + 3*l - 28 = 0 for m.
-5
Suppose -5*d = -5*l + 25, 2*l + 4 - 5 = -d. Solve -y + 3 = -3*q, -l*q - 3 = 1 for y.
-3
Let j = -658 + 658. Solve z + 10 = -2*l - j, 5*l = 4*z - 25 for l.
-5
Let k(u) be the first derivative of -u**3/3 + 3*u**2/2 + 10*u - 1. Let t = 238 - 238. Let s be k(t). Solve 3*j - 5*j - 2*p = -8, 0 = 2*p - s for j.
-1
Suppose 23*g + 24 = 29*g. Solve 5*t + 10 = -3*d, d + 4*t = -4 - g for d.
0
Suppose 0 = -5*b - 2*n + n - 17, 4*b - 5*n + 31 = 0. Let y = b - -8. Solve -3*l - 1 = -0*l + 2*w, 0 = 4*l + y*w + 4 for l.
1
Let n = 49 + -47. Let u be (2/(-4))/(1/2). Let d be (-4 + n + -1)/u. Solve -d*r = 6, z = 2*z - 5*r - 12 for z.
2
Suppose -53 = -z - 29. Suppose 4*f = -0*u - 2*u + z, 3*u - 11 = -f. Solve -u*s = -k - 3, 3*s + 2*k - 3*k - 2 = 0 for s.
-1
Let z be -1 + (4 + 2)/6. Let r = 14 - 9. Let v be r/((-5)/(-2)) - -1. Solve -v*x + 1 = 5*i - 1, z = 4*x - 2*i - 20 for x.
4
Suppose -4*d - 6*x + 52 = -4*x, -d - 4*x = 1. Let y = -70 + 70. Solve 3*q = c - d, y*c + 26 = -5*q + 2*c for q.
-4
Suppose 0 = -2*i + 6*i. Let z = 275 + -270. Solve i = -5*p - 4*s + z, 0*p - 4 = -4*p + s for p.
1
Suppose -9*q - 12 = -15*q. Suppose -n - 2*b - 5 = 0, q*n + n - b = 20. Solve -3*j = -n*c - 29, -3*j - 5*c + 5 = -4*c for j.
3
Suppose -10 = 5*g, 8 = -m - 0*m - 4*g. Let r(o) = 5 + 1 - 2 + o**2. Let h be r(m). Solve -h*y = d - 20 + 3, 0 = -5*y - 3*d + 30 for y.
3
Suppose 2*x = -2*x - 4*z, -2*z + 3 = 3*x. Let y(v) = -2*v**2 + 6*v + 2. Let h be y(x). Solve -h = -n - 3*d, 3*n - 6 = d - 6*d for n.
2
Let a(x) = 16*x**2 - x. Let v be a(1). Let d(z) = -2*z + 21. Let h be d(9). Let o be 2 - (12/h - 2). Solve o*b = -3*b + 3*j + v, -4*b - 5 = j for b.
0
Let c be (1 + (-3)/5)/((-9)/45). Let g be c + (2 - 0)/((-4)/(-8)). Solve -u - 4*u - 11 = -3*w, -g*u = -2*w + 2 for u.
-4
Suppose 4 = -8*a + 3 + 25. Let v be (-6)/3 + 0/(-2). Let o be ((-3)/v)/(5/10). Solve -2*d + o = -3*r, 4 = a*d - 6*r + r for d.
3
Let t = 55 + -30. Let f(x) = -x**2 + 24*x + 28. Let z be f(t). Solve -z*l = -2*u + 1, -4*l = -4*u - 0*l for u.
-1
Suppose -2*c - 10 = 3*d, -3*c - 15 = -0*c. Let v = 15 + -10. Suppose d = -3*s + 13 + v. Solve -3*x - i = 14, s*i = -2*x + 3*i - 14 for x.
-4
Let z = -438 - -442. Solve -5*q + 6 = 5*m - 6*m, z*m + 4*q = 0 for m.
-1
Let g be 2/24 + (-418)/(-456). Let w = -8 - -12. Solve -5*y = 2*i - 3, 5*i + 0*i = -w*y - g for i.
-1
Let y be (-50)/(-15)*(-3)/(-5). Suppose -o - y*x - 9 = 3*x, -3*o = 5*x - 3. Solve -5*z + o*u - 4*u + 20 = 0, 5*u + 8 = 2*z for z.
4
Let m be 4/18 - (-1 + 628/(-9)). Suppose j + 51 = m. Solve -5*i = o + j, -i + o = -o + 15 for i.
-5
Let y(q) = q + 16. Let j be y(-16). Suppose j = -z - 4 + 9. Solve 2*a + 2*a = -3*p + 7, 3*p = -z*a + 5 for p.
5
Suppose -12*r + 24 = 5*k - 11*r, -3*r = -3*k + 18. Solve -4*s + i = 12, -3*s - 3*i = -k*i + 9 for s.
-3
Let n(d) = -d - 7. Suppose -5*o = 40 + 5. Let x be n(o). Suppose -q = x*q. Solve q = 4*s - a - 11, 21 = 4*s + a + 8 for s.
3
Let s = -235 - -240. Solve -l + s*y = -2, -2*l - 8 = -6*l + 5*y for l.
2
Let p be (1/(-2))/((-1)/4). Let s = -153 + 159. Suppose p*d = 4*d - s. Solve 4*v = -x + v + 3, 4*x + 3 = d*v for x.
0
Let a be (30/(-8))/(-5)*(-16)/(-6). Suppose 9 = -z - 3*s, 0 = 2*z - 0*z + s - a. Solve -4*c + 2*d + 18 = 0, -5*d = z + 2 for c.
4
Let k be 616/252 + 4/(-9). Let m = 6 + -1. Solve -m*g - r + 12 = 0, -g - 3*r + k - 8 = 0 for g.
3
Let l(d) = -4*d**2 + d. Let g be l(-1). Let b = -5 - g. Solve 12 = f - b*i - 3*i, 10 = -2*i for f.
-3
Suppose 5*y = a + 22, -2*a - 20 = -3*y + 2*a. Suppose -44 = -10*l - y. Solve -l*n = 3*w - 7, 0 = -4*n + w + w + 2 for n.
1
Let z = 70 + -67. Solve -3*w = z, q - 1 = 4*q - 5*w for q.
-2
Let j be 3/2 - 12/8. Let m = j + 4. Suppose -m = -2*o + 3*k + 11, -2*k - 6 = 0. Solve o*y - p = -11, 0 = -y - 2*y + 2*p - 13 for y.
-3
Let f = 283 + -281. Solve f*c + 3*d + 3 = 0, 0*d = 4*c - 2*d - 18 for c.
3
Let b(j) = -j**2 + 11*j - 16. Let y be b(9). Suppose -t + y = -3. Suppose -2*k - 5*v - 12 = -v, 0 = 4*k + 2*v. Solve 3*m = k*f + 1, 2*f = 3*m + t*f - 6 for m.
1
Let b(j) = -j**2 + 41*j - 176. Let s be b(5). Solve -7*l = -11*l + s*g + 16, 2*l + 2*g = 0 for l.
2
Let r be 1 + 101 + 3 - 0. Let g be r/28 + 1/4. Let c(k) = 30*k. Let b be c(1). Solve -4*m - g*p = 0, 3*m - 5*p + b = 2*m for m.
-5
Let b be (11 - 4) + (3*-2 - -1). Let q(c) = c**3 - c**2 + 4*c - 3. Let v be -1*(-3)/(6/4). Let n be q(v). Solve n = -3*m - b*l + 20, -3 = 5*m - 2*l for m.
1
Let g be -8 + 3 + 14/2. Solve g*i - 4*i = 3*u + 5, i + u + 3 = 0 for i.
-4
Let m = 12 + -8. Suppose -m*t - 5*v = -63, t - 2*t + v + 9 = 0. Solve -3*l + 3*k = 0, 2*l - 3*k + t = 2*k for l.
4
Suppose -2*r + 659 = -5*v, 680 = -5*v - 2*r - 3*r. Let y be 4/(-14) - 703/v. Solve 2*n - 20 = 4*t, -5*t - 25 = -n + y*n for t.
-5
Let x(g) = -g**2 - 3*g + 9. Let m(t) = 4*t**2 + 11*t - 36. | {
"pile_set_name": "DM Mathematics"
} |
172953722360 to the nearest 1000000.
172954000000
What is 13.13675384 rounded to three decimal places?
13.137
Round 20249464300 to the nearest 1000000.
20249000000
Round -6562.81982 to 0 decimal places.
-6563
Round -23008996.61 to the nearest 100000.
-23000000
Round 288.380344 to the nearest 10.
290
Round -7301157.222 to the nearest 100000.
-7300000
What is -0.3876973959 rounded to 3 dps?
-0.388
Round 5.597069013 to four decimal places.
5.5971
Round 15.482672 to 2 dps.
15.48
What is -97623.031 rounded to the nearest ten?
-97620
Round -0.000270331429 to seven decimal places.
-0.0002703
Round 139634.413 to the nearest ten.
139630
What is 0.01420968643 rounded to four decimal places?
0.0142
Round 6862.246895 to the nearest one thousand.
7000
What is 0.005119077 rounded to four decimal places?
0.0051
Round 0.06251253 to 4 dps.
0.0625
Round -0.002139513998 to 4 dps.
-0.0021
What is -0.6414244204 rounded to one dp?
-0.6
Round -84295030 to the nearest one million.
-84000000
Round -869999.338 to the nearest one hundred.
-870000
What is -0.02128034899 rounded to six decimal places?
-0.02128
What is 1.22326604 rounded to four decimal places?
1.2233
Round 387988038 to the nearest one hundred thousand.
388000000
Round 362113.4461 to the nearest ten.
362110
Round -2441249.01 to the nearest one million.
-2000000
What is 641085.8 rounded to the nearest 10000?
640000
Round 1870827.86 to the nearest ten thousand.
1870000
Round 3870631.7 to the nearest 10000.
3870000
What is 5391.783639 rounded to 0 decimal places?
5392
Round -12.28139327 to 1 dp.
-12.3
What is 148.0419999 rounded to the nearest integer?
148
What is -0.000002320530053 rounded to 6 dps?
-0.000002
Round 0.000001385356627 to 7 dps.
0.0000014
What is -0.87380026 rounded to one decimal place?
-0.9
What is -0.00054970586 rounded to 6 dps?
-0.00055
What is 0.00000215908526 rounded to 7 decimal places?
0.0000022
What is -0.1300069236 rounded to 4 decimal places?
-0.13
What is -17070.10423 rounded to the nearest 10?
-17070
What is 1.114549148 rounded to 3 dps?
1.115
What is -4.5080275 rounded to 1 dp?
-4.5
What is 0.04165461181 rounded to 4 dps?
0.0417
What is -84863550 rounded to the nearest 100000?
-84900000
What is -0.00034901602 rounded to 6 dps?
-0.000349
What is 33417.42093 rounded to the nearest integer?
33417
Round 100.2684138 to the nearest integer.
100
Round 0.171652924 to five dps.
0.17165
What is 0.124079632 rounded to four dps?
0.1241
Round -508960460 to the nearest ten thousand.
-508960000
Round 2136.60029 to one decimal place.
2136.6
Round 14680.1685 to zero decimal places.
14680
Round 0.000175173028 to 6 dps.
0.000175
Round -13798.9564 to the nearest one hundred.
-13800
Round -0.0372574546 to 3 decimal places.
-0.037
Round 0.00000271224588 to 6 decimal places.
0.000003
Round 0.00090792832 to four decimal places.
0.0009
Round -0.0000072481433 to 6 dps.
-0.000007
Round 0.00009501250258 to 5 decimal places.
0.0001
Round 13267577.631 to the nearest 1000.
13268000
What is 0.0001690115005 rounded to 5 decimal places?
0.00017
What is -0.0000842387903 rounded to 5 dps?
-0.00008
Round -348.685455 to one decimal place.
-348.7
What is -0.004282214137 rounded to seven dps?
-0.0042822
What is 158029446.76 rounded to the nearest 10000?
158030000
Round -600.32984 to 0 decimal places.
-600
What is 38255423.72 rounded to the nearest 1000000?
38000000
What is -0.00073874432 rounded to five dps?
-0.00074
What is 263331.2303 rounded to the nearest one thousand?
263000
Round -0.0004554972 to 6 decimal places.
-0.000455
Round -674565.6 to the nearest ten thousand.
-670000
What is -0.00055991215 rounded to 6 dps?
-0.00056
What is 1121496241 rounded to the nearest ten thousand?
1121500000
What is 0.2363069526 rounded to four dps?
0.2363
Round -25468996510 to the nearest one million.
-25469000000
What is -74.668164 rounded to the nearest ten?
-70
Round -0.000034718679 to six decimal places.
-0.000035
What is -0.052819165 rounded to 4 dps?
-0.0528
Round 0.012645648632 to three decimal places.
0.013
Round -95.8721503 to one dp.
-95.9
What is -1.6555828 rounded to zero dps?
-2
What is -0.0237400179 rounded to five decimal places?
-0.02374
What is 2.4352029 rounded to zero decimal places?
2
What is 0.23441094 rounded to three decimal places?
0.234
What is 1.620955278 rounded to three decimal places?
1.621
What is 10562254.8 rounded to the nearest one thousand?
10562000
Round 287534818 to the nearest one million.
288000000
Round 2596435160 to the nearest one million.
2596000000
What is 0.0320687293 rounded to four decimal places?
0.0321
What is 1.12749182 rounded to 1 dp?
1.1
Round -2349930960 to the nearest 100000.
-2349900000
Round -0.000004356615231 to seven decimal places.
-0.0000044
What is -2.29044697 rounded to three decimal places?
-2.29
Round 495345.1929 to the nearest 10000.
500000
Round 0.000002541749343 to 7 dps.
0.0000025
What is -19.587611 rounded to the nearest integer?
-20
What is 0.0009555204 rounded to five dps?
0.00096
Round -1495958.729 to the nearest one hundred.
-1496000
What is 0.7552389634 rounded to 2 decimal places?
0.76
Round 1437959.249 to the nearest 100.
1438000
What is 0.0219269016 rounded to four dps?
0.0219
Round -19410432.92 to the nearest one hundred thousand.
-19400000
What is 0.0000005596011525 rounded to 7 dps?
0.0000006
What is -30901.79186 rounded to the nearest 1000?
-31000
Round 900514.86 to the nearest 1000.
901000
What is 1579918.875 rounded to the nearest one hundred?
1579900
What is -0.00695228343 rounded to three dps?
-0.007
Round 960.347815 to zero decimal places.
960
What is 0.057596528 rounded to one dp?
0.1
What is 0.284086739 rounded to two dps?
0.28
Round 0.163980557 to three decimal places.
0.164
What is 0.0008448179868 rounded to 7 decimal places?
0.0008448
Round -1771764.292 to the nearest ten thousand.
-1770000
Round 0.0096246884 to six decimal places.
0.009625
Round 7.187449 to the nearest 100.
0
Round -1.4380104182 to four decimal places.
-1.438
What is 264847296 rounded to the nearest 1000000?
265000000
Round -0.003989231693 to four decimal places.
-0.004
What is -1775672.745 rounded to the nearest one hundred thousand?
-1800000
Round -51582.292 to the nearest 100000.
-100000
Round -37.3107 to the nearest 100.
0
Round 0.005654769452 to 7 dps.
0.0056548
Round 0.04718770015 to 5 decimal places.
0.04719
Round -2.8033677 to three dps.
-2.803
Round 0.000263196745 to seven dps.
0.0002632
What is -4.8043896 rounded to 2 dps?
-4.8
Round 0.720381795 to 4 decimal places.
0.7204
What is -53727.59498 rounded to the nearest 1000?
-54000
Round 0.0919908759 to 2 dps.
0.09
Round -0.2828696614 to 4 decimal places.
-0.2829
Round 2.3952551 to 1 decimal place.
2.4
What is -0.0044154227 rounded to 5 dps?
-0.00442
Round 27833.6368 to the nearest ten.
27830
What is 20530.70389 rounded to the nearest ten thousand?
20000
Round 428978777 to the nearest one hundred thousand.
429000000
Round 0.0717344293 to 2 dps.
0.07
What is 13718.99044 rounded to the nearest ten?
13720
Round 0.433132563 to 2 decimal places.
0.43
What is 0.00812738225 rounded to 4 decimal places?
0.0081
Round 0.067636602 to 5 decimal places.
0.06764
What is -0.00160495946 rounded to 5 dps?
-0.0016
What is -43435483.9 rounded to the nearest one hundred thousand?
-43400000
What is 0.474042884 rounded to 3 dps?
0.474
Round 194052729 to the nearest 1000000.
194000000
What is -3198.59694 rounded to 1 dp?
-3198.6
Round -0.88149555 to four decimal places.
-0.8815
What is 0.0184107919 rounded to two dps?
0.02
Round 0.00000173272004 to seven decimal places.
0.0000017
What is 0.219321917 rounded to 5 decimal places?
0.21932
Round 0.00761932308 to 3 dps.
0.008
What is -10366467.4 rounded to the nearest 1000?
-10366000
What is 30.0061111 rounded to the nearest integer?
30
Round -0.00004336296289 to 6 dps.
-0.000043
Round -754.973155 to two dps.
-754.97
What is -0.02091047663 rounded to three decimal places?
-0.021
Round 267030.841 to the nearest one hundred.
267000
Round -3039.50201 to the nearest 1000.
-3000
Round 307682.0443 to the nearest one hundred.
307700
Round 0.536587693 to five dps.
0.53659
What is 280932.6356 rounded to the nearest 1000?
281000
What is 0.000427233906 rounded to seven decimal places?
0.0004272
Roun | {
"pile_set_name": "DM Mathematics"
} |
(-11 - -14)*(-2)/(-2). Suppose v - 202 = -3*h, -2*v - s*h = v - 582. What is the tens digit of v?
9
Let y(d) = d**3 - 13*d**2 - 37*d + 49. Suppose 0 = 17*n - 209 - 63. What is the units digit of y(n)?
5
Suppose w + 248 = 5*q, w - 19 = -q + 33. What is the hundreds digit of -7 + q/6 - 6108/(-9)?
6
Let n(k) = -19*k + 243. Let p be n(-6). Suppose -2*d + 0*d + 40 = 0. Suppose p + d = 3*s - i, 3*i = -3*s + 357. What is the units digit of s?
4
Let z(d) = -4207*d + 7517. What is the hundreds digit of z(-12)?
0
Let c(w) be the second derivative of 5*w**4/6 - 11*w**3/6 - 34*w - 2. What is the units digit of c(-4)?
4
Suppose 17 + 22 = 13*j. Suppose 466 = -j*c - 341. What is the tens digit of 1/5 - (c/5 + -2)?
5
Let a(y) = y**3 - 27*y**2 + 24*y + 48. Let i be a(26). Let z be 2/i + 1/2. Suppose z = -5*k - 3*k + 1064. What is the tens digit of k?
3
Let u(z) be the first derivative of -159*z**2/2 - 15*z - 40. What is the units digit of u(-2)?
3
Let x be (13/(-26))/(0 - 2/8). Suppose 3*w = -3*l + 3399, 1010 = 2*w - x*l - 1276. What is the units digit of w?
8
Let m(h) be the first derivative of 145*h**3/3 + h**2/2 - 2*h - 54. Let v be 2*(0 + (-1)/(-2)). What is the tens digit of m(v)?
4
Let h(o) = 2*o**2 + 36*o + 1. Let j(z) = -z**2 - 18*z. Let t(c) = 2*h(c) + 5*j(c). Let r be t(-18). What is the tens digit of (12/8 + -3)*r - -22?
1
Suppose 5*q - 25 = 0, 4*r + r - 45 = -5*q. Let u(o) = 156*o - 38. What is the tens digit of u(r)?
8
Suppose -2*c - 7 = -r, 0 = -3*c + 5*r + 10 - 38. Let y be -3*(c - -2)*(-126)/27. Suppose y*u + 60 = 16*u. What is the tens digit of u?
3
Let g(n) = -1610*n - 408. What is the units digit of g(-7)?
2
Suppose -3*m - 28 = -3*j - j, -4*m + 3*j - 42 = 0. What is the tens digit of m/90*-6 - (-2226)/5?
4
Suppose -4*d - 4*y = 182 + 78, 2*d + y + 128 = 0. Let g = 64 + d. What is the tens digit of (-219 + -8)*(-1)/1*g?
2
Let a be (((-1)/(-1) + -1)/(-4))/(-1). What is the tens digit of (223 - a)/((-7)/(-14))?
4
What is the ten thousands digit of (6880/(-200))/(8/(-15180))?
6
Suppose -2*m - 116 = p, -m + 2*p = m + 116. Let r = 315 + m. What is the units digit of r?
7
Let p(q) be the second derivative of -5*q**3 + 7*q**2 + 6*q + 1. What is the units digit of p(-13)?
4
Suppose -230*g + 19376 = -216*g. What is the hundreds digit of g?
3
Let c = 31911 - 10879. What is the thousands digit of c?
1
Suppose 11155164 = 269*l + 190186. What is the units digit of l?
2
Suppose 2*a + 4*h = -4 - 10, 35 = -5*a + 3*h. What is the hundreds digit of 12061/28 - (14/8)/a?
4
Let f be -1001 - ((2 - 0) + -2). Let a = -556 - f. Suppose -4*d = d - a. What is the units digit of d?
9
Let d = -1497 - -31987. What is the hundreds digit of d?
4
Let f(d) be the second derivative of d**5/10 - 17*d**4/12 - 11*d**3/3 + 8*d**2 - 3*d - 34. What is the units digit of f(10)?
6
Let i = -20178 - -35522. What is the units digit of i?
4
Let g(b) = -4*b + 0*b - 9 + 3 - 2*b**3 - 5*b**2 - 8*b**3. Let a be g(-3). Let i = a - 142. What is the units digit of i?
9
Suppose -m - 5*v = -40747 + 13364, -4*m = -3*v - 109624. What is the thousands digit of m?
7
Let a(v) = v**2 - 11*v + 7. Let y be a(7). Let u = 23 + y. Suppose -6*t + u*t + 444 = 0. What is the hundreds digit of t?
1
Suppose 0 = -4*u - 4, 1481 = 4*j - 3*u - 2*u. What is the hundreds digit of j?
3
Suppose 4004204 = -182*l + 298*l. What is the units digit of l?
9
Suppose -722 = 3*x - 5*t, -x - 2*t + 1216 = -6*x. Let a = -21 - x. What is the hundreds digit of a?
2
Let n(j) be the first derivative of j**3/3 - 5*j**2/2 - 26*j + 3. Let l be n(8). Let s = 68 - l. What is the tens digit of s?
7
Let o be (0/(9 + -2))/(-4). Suppose -x - 257 + 1011 = o. What is the units digit of x?
4
Suppose -3*r + y = -158 - 125, 3*y = -3*r + 267. Let i = 195 - r. Let t = i - -79. What is the tens digit of t?
8
Let z(v) = -6*v - 285. Let k be z(-17). Let u = k - -766. What is the units digit of u?
3
Let g(k) = -955*k + 264. What is the ten thousands digit of g(-19)?
1
Suppose 3*a = -4*i - 3393, 3*i - 4*a + 914 = -1662. Let u = 2360 + i. What is the tens digit of u?
0
Suppose -3*k = 22 - 832. Let o = 140 + k. What is the hundreds digit of o?
4
Suppose 8*x + 4*s = 7*x + 7993, 3*x + 3*s = 24006. What is the tens digit of x?
0
What is the thousands digit of -8*(-247128)/192*5?
1
Suppose 2*c = -2*b - 2*b - 14, 0 = 4*c - 4*b - 8. What is the tens digit of 453 - -6*c/3?
5
Let x(w) = -11*w**3 - 30*w**2 - 251*w - 8. What is the thousands digit of x(-7)?
4
What is the thousands digit of (-253)/138 - -1 - (-600910)/12?
0
Suppose 3*t + 3*a + 994 = 2*a, 3*t - a + 992 = 0. Let y(d) = 3*d + 3. Let m be y(-4). What is the units digit of (-4)/(-18) - -1*t/m?
7
Suppose 3*m - 4686 - 13572 = 1368. What is the units digit of m?
2
Suppose n = 78 + 31. Let p = 203 - 198. Suppose 0 = -p*f + 481 + n. What is the hundreds digit of f?
1
Let i(t) = 45*t**2 + 120*t - 131. What is the ten thousands digit of i(-25)?
2
Let b = 60 + -52. Suppose -2*g + 4*f = 3 - 7, -2*f + b = 4*g. Suppose 0 = -g*m - 5*r + 77, -3*r + 102 = 3*m - 9. What is the units digit of m?
6
Suppose 0 = -4*v - 22 + 10, -11381 = -4*r - 5*v. What is the thousands digit of r?
2
Let p be 8470/6 + 34/(-51). Suppose 0 = 11*g - p - 1570. What is the tens digit of g?
7
Let k = 39396 + -25779. What is the hundreds digit of k?
6
Suppose 2*a = 4*x - 266506, -216080 - 50433 = -4*x + 3*a. What is the ten thousands digit of x?
6
Let a(x) be the second derivative of -x**5/20 - 7*x**4/4 - x**3/2 + 49*x**2/2 - 16*x. What is the tens digit of a(-21)?
1
Let t = 325 + 219. Let q = 2188 - t. What is the thousands digit of q?
1
Let m(j) = -j**3 + 51*j**2 + 107*j - 66. What is the hundreds digit of m(48)?
9
Let q = -98092 + 141012. What is the ten thousands digit of q?
4
Let f = 13092 + -7728. What is the tens digit of f/15 - (-11)/((-275)/(-10))?
5
Let o(f) = f**3 + 8*f**2 + 16*f + 14. Suppose 4*p - 13 + 37 = 0. Let x be o(p). Let a = x - -117. What is the units digit of a?
7
Suppose 10*w + 4*o = 7*w + 1375, -5*w + 2*o + 2309 = 0. What is the hundreds digit of w?
4
What is the thousands digit of ((-13190)/3)/((-27)/(1053/26))?
6
What is the tens digit of ((-10032)/(-60))/(27/4320)?
5
Let z(y) be the second derivative of y**4/3 - 13*y**3/6 + 13*y**2/2 - 10*y. What is the hundreds digit of z(-5)?
1
Let h(m) = 2*m**3 - 18*m**2 - 5*m - 39. Let g be h(10). Suppose 109*q + 2864 = g*q. What is the hundreds digit of q?
4
What is the ten thousands digit of ((-103305)/9 + (-70)/(-10))/(14/(-21))?
1
Suppose 52 + 107 = -4*m + c, -5*m - 210 = c. Let z = m + 46. Suppose -34 - z = -o. What is the tens digit of o?
3
Let r be (-3)/3*-331 + (-1 - -5). Suppose p + 345 = m, -2*m - p = -m - r. What is the units digit of m?
0
Let w(n) = 34*n**3 + 15*n**2 - 105*n + 602. What is the tens digit of w(6)?
5
Let n = 70 + -76. Let s be 3/n - 3244/(-8). Suppose -813 - s = -6*r. What is the tens digit of r?
0
Suppose 5*n + 5 = -0*n. Let g(m) = 20*m - 20*m + 35*m**2 - 4*m - 3 + 25*m**2 + 6*m**2. What is the tens digit of g(n)?
6
Let w = 6600 + -4861. What is the thousands digit of w?
1
Let v(k) = k**2 - 10*k. Let m be v(12). Suppose -m*i = -22*i - 210. Suppose 3*d - i = 2*d - 4*j, 0 = -3*d - j + 260. What is the tens digit of d?
8
Let v be (-5 + 4)/(-4) - (-6)/8. Let o = v - -2. What is the units digit of (-2 - -1)*(-198)/o?
6
Suppose 8*w = -13*w + 14721. Let q = w - 16. What is the tens digit of q?
8
Let v = -651 + 401. Let z = -73 - v. What is the tens digit of z?
7
Let y = 56 + -47. Suppose 5*b = -16 - y. Let o(d) = -14*d - 19. What is the tens digit of o(b)?
5
Let r be 33/30*2*(3 - -2). What is the tens digit of r/(33/9) - -551?
5
Suppose -226742 = -4*i + 5*j, -4*i - 5*j - 40487 = -267289. What is the tens digit of i?
9
Let l be 0 - 0 - (-1732)/4. Let a be 2/(-1) + 1 + l. What is the hundreds digit of (36/16)/(6/a)?
1
What is the units digit of (238 + -116)/((-6)/(-1107))?
9
Let g(x) = 29*x - 15*x - 8*x - 7*x + 565*x**2. What is the hundreds digit of g(1)?
5
Let q(w) = -377*w + 380. What is the units digit of q(-78)?
6
Let k = -1523 + 3502. What is the hundreds digit of k?
9
Suppose 0 = h - 4, 0 = 3*d - 4*h + 3*h - 53495. Suppose d = 15*n + 2*n. What is the hundreds digit of n?
0
Suppose -7*d + 4177 = -933. Suppose -7*o + 390 = -d. What is the tens digit of o?
6
L | {
"pile_set_name": "DM Mathematics"
} |
*z*z*z*z)**(2/27) assuming z is positive.
z**(193/477)
Simplify (r**(-6))**(-1/34) assuming r is positive.
r**(3/17)
Simplify ((f*f**4)/f*(f*(f**(-3/4)/f)/f)/f)/(f**(-1/2))**(5/8) assuming f is positive.
f**(25/16)
Simplify (w**(-5)*w*w*(w/(w/(((w**(3/8)*w)/w)/w)*w))/w)/((w/w**(-2/7))/w)**(-47) assuming w is positive.
w**(437/56)
Simplify ((p/p**(-11))/(p**(-4/5)/p))**40 assuming p is positive.
p**552
Simplify (q**39*q)/(q/q**(1/10)) assuming q is positive.
q**(391/10)
Simplify (p**(2/5)*p*p)**35*p*p**(3/4)*(p**(1/7)*p)/p assuming p is positive.
p**(2405/28)
Simplify ((k**8/k)/k**(-1))**(8/9) assuming k is positive.
k**(64/9)
Simplify ((j*j*j/(((j*j*j**3/j)/j)/j*j))/((j/j**(-5/3))/j))**(2/5) assuming j is positive.
j**(-2/3)
Simplify t**9/(t**(-3)*t)*(t/t**(-2/9))/(t*t**(-8/3)) assuming t is positive.
t**(125/9)
Simplify q*(q/q**(-22))/q*q**(-16) assuming q is positive.
q**7
Simplify (b**(-2/3))**2/(b**(5/4)*(b/(b**8/b))/b) assuming b is positive.
b**(53/12)
Simplify (m**(4/21)*m)/((m/(m*m**12))/m) assuming m is positive.
m**(298/21)
Simplify (i*i**(11/2))**(-14/9) assuming i is positive.
i**(-91/9)
Simplify (s/((s*s**(-26)*s)/s))/(s/(s*s**(-5)*s)*s) assuming s is positive.
s**21
Simplify a**(-9)/a*a**(-4) assuming a is positive.
a**(-14)
Simplify ((o/(o*(o/(o/o**21))/o))/o)/o**16 assuming o is positive.
o**(-37)
Simplify (o/((o*o**(3/14))/o))/(o/o**5) assuming o is positive.
o**(67/14)
Simplify d**(2/13)*d*d*d/(d/(((d**6*d)/d)/d))*d*(d*d**0*d)**(-25) assuming d is positive.
d**(-544/13)
Simplify ((z**(-2/5))**(2/49))**(5/6) assuming z is positive.
z**(-2/147)
Simplify ((s/(s/s**11))/s)**(17/3) assuming s is positive.
s**(170/3)
Simplify (d*d**12/d)/d**(2/13) assuming d is positive.
d**(154/13)
Simplify ((u*u**(-9)*u)/(u*u**1*u))**(-34) assuming u is positive.
u**340
Simplify m**19*m*m**(-3/8)/m assuming m is positive.
m**(149/8)
Simplify ((r/(r*r**(-28)))/r*r*r)/(r/r**12) assuming r is positive.
r**40
Simplify s**(1/12)/(s**(-1/2)*s) assuming s is positive.
s**(-5/12)
Simplify (m**2/(m/m**(1/5)*m))/(m**(1/4)/m*m**(2/11)) assuming m is positive.
m**(169/220)
Simplify (i**0*i)**(-6)*i**(-7)/(i/(i/i**(-2))) assuming i is positive.
i**(-11)
Simplify ((a/((a**(-2)/a)/a))/a)**(3/14)/(a**(2/9))**(2/25) assuming a is positive.
a**(1322/1575)
Simplify (j**0/(((j*j**2)/j)/j))**39 assuming j is positive.
j**(-39)
Simplify (n**1)**(-31)*n**(1/2)/n**(-1) assuming n is positive.
n**(-59/2)
Simplify (r/r**(2/11))**8 assuming r is positive.
r**(72/11)
Simplify (z/(z*z*z**(-2/7)*z))**(-7/3)*((z/(z/z**0*z))/z)**(-3/10) assuming z is positive.
z**(23/5)
Simplify (m**(-1/6)*m*m*m*m**(2/15)/m*m)/(m/m**0*m**(-1/2)) assuming m is positive.
m**(37/15)
Simplify (a**8*a)/((a*a/a**(-3))/a)*((a*a**(-1/2))/a)/(a*a**(-1/3)) assuming a is positive.
a**(23/6)
Simplify g*g**(8/3)/g*g*(g*g/g**(-6/11))/g assuming g is positive.
g**(172/33)
Simplify (f*f**6/f*f**(2/11))**(6/5) assuming f is positive.
f**(408/55)
Simplify (g**(-13)/g)**(-46) assuming g is positive.
g**644
Simplify (k**(2/11)*k*k)/(k**(3/2)/k) assuming k is positive.
k**(37/22)
Simplify ((o**(2/7)*o)/o)**(-5/3)*(o/(o*o**5/o*o))/o*o/((o**(3/5)/o)/o)*o assuming o is positive.
o**(-323/105)
Simplify (h*h/(h/(h**(2/3)*h*h))*(h/h**(1/4))/h)**4 assuming h is positive.
h**(41/3)
Simplify (r*r/((r*r**(-2))/r))**(-11/6) assuming r is positive.
r**(-22/3)
Simplify b**1*b**(1/4)*(b**4*b)/b**(-1/7) assuming b is positive.
b**(179/28)
Simplify (y/((y*y**33*y*y)/y))/((y*y**(-2/17))/y) assuming y is positive.
y**(-576/17)
Simplify n**(-11/5)*n**(1/3) assuming n is positive.
n**(-28/15)
Simplify q/q**2*q*q*(q*q**(2/21)/q)/q*(q/((q/(q**(-2/7)/q*q)*q)/q))**(-19) assuming q is positive.
q**(116/21)
Simplify ((t**1/t*t)/(t**(3/7)/t))**(-21) assuming t is positive.
t**(-33)
Simplify a**(2/11)/a*a**(-9/8)/a assuming a is positive.
a**(-259/88)
Simplify (f**(-2/93)/f)**(-33) assuming f is positive.
f**(1045/31)
Simplify (i**4*i)/(i**(-1/4)*i)*i**(2/11)*(i/i**(-4))/i assuming i is positive.
i**(371/44)
Simplify (u**(-3))**(2/23)/(u**2/(u/u**(3/5))) assuming u is positive.
u**(-214/115)
Simplify ((m**1/m)/m)**(2/27)*m**(-2/7)*m*m**7*m assuming m is positive.
m**(1633/189)
Simplify (g*g**0)**34 assuming g is positive.
g**34
Simplify (l/(((l*l**(-1/19))/l)/l*l))/l**(5/3) assuming l is positive.
l**(-35/57)
Simplify ((x**(-1/3)*x*x*x)/(x/x**(2/19)))**(5/7) assuming x is positive.
x**(505/399)
Simplify z**(-4)*z**(-7)*z*(z/(z/z**(-2/25)*z))/(z**3*z) assuming z is positive.
z**(-377/25)
Simplify (n**(-4/11)*n**15/n*n)**28 assuming n is positive.
n**(4508/11)
Simplify ((d/(d**(5/6)/d)*d)/d)**(16/7) assuming d is positive.
d**(8/3)
Simplify (l**(-2/5))**12*(l**(2/5))**(-48) assuming l is positive.
l**(-24)
Simplify ((a*a/(a/((a/(a**(-2)/a))/a)))/(a**(3/5)*a*a*a))/(a*a**0/a)**(-6/25) assuming a is positive.
a**(2/5)
Simplify (n*n**(3/7))/(n*n*(n**(-6)*n)/n)*(n**2/n)**(6/17) assuming n is positive.
n**(688/119)
Simplify (f**(5/3)*(f**(-3)/f)/f)**(-4) assuming f is positive.
f**(40/3)
Simplify (i/(i*i**6/i)*i)/i**6*(i/(((i/i**(-1/6))/i)/i))/i**(-5) assuming i is positive.
i**(-19/6)
Simplify h**6*h*h**(-1/5)*(h**(1/4))**7 assuming h is positive.
h**(171/20)
Simplify (l*((l**(-5)/l*l)/l*l)/l)/(l**(2/7)/l)*(l/(l**(-1)*l*l)*l*l)**(2/93) assuming l is positive.
l**(-2762/651)
Simplify h/(h**13/h*h)*h**(-10)/h*h assuming h is positive.
h**(-22)
Simplify (u**(-17))**(-24) assuming u is positive.
u**408
Simplify (m/(m**(-3/7)/m)*m)/(m**(-1/5)/m*m) assuming m is positive.
m**(127/35)
Simplify f**7*f*f**(-5)*(f**0)**(-1) assuming f is positive.
f**3
Simplify (a/a**(1/12))/((a*(a/a**(2/15))/a)/a*a) assuming a is positive.
a**(1/20)
Simplify (m/m**(-12))/(((m*m**25)/m)/m) assuming m is positive.
m**(-11)
Simplify (t*t*t**(-7)/t*(t/(t*t*t*t/((t*t/(t*t/t**(-2/5)))/t*t)*t))/t)/(t**(-3)*t*t**(4/3)) assuming t is positive.
t**(-161/15)
Simplify ((((n*n**(-7/5))/n)/n)/n)**(2/43) assuming n is positive.
n**(-34/215)
Simplify ((d**1)**(2/47))**29 assuming d is positive.
d**(58/47)
Simplify (((g*g**(-1)/g)/g)**(-1/4))**(-10/7) assuming g is positive.
g**(-5/7)
Simplify (x*x**(-1)*x)/(((x*(x**(-24)/x)/x)/x)/x) assuming x is positive.
x**28
Simplify (d/(d*d/d**15*d))/d*d**(1/3) assuming d is positive.
d**(37/3)
Simplify (n**2/n)/(n/((n**(-2/9)*n*n)/n))*(n**(-1/3))**(-32) assuming n is positive.
n**(103/9)
Simplify ((((l**13*l)/l)/l)/(l/l**(-1/5)))**(-7) assuming l is positive.
l**(-378/5)
Simplify ((x*x*x/(x*x**(3/4)))/x**(-6))/(x**(-1/6)*x/(x*x/(x/((x/(x**(1/3)*x))/x*x)))) assuming x is positive.
x**(85/12)
Simplify ((a/((a/(a/(a**(-1/6)*a)))/a))/a)**(-8/11) assuming a is positive.
a**(-4/33)
Simplify (y**15)**32 assuming y is positive.
y**480
Simplify (x*x**(-1)*x*x)/x*x**(4/3)*x**(-4)*x*x**(-9)/x assuming x is positive.
x**(-32/3)
Simplify (y**11*y*y)**(2/45) assuming y is positive.
y**(26/45)
Simplify (y*y**10*y*y*y**4)**(-18) assuming y is positive.
y**(-306)
Simplify (i/i**9)/(i*i*i**(-8)*i) assuming i is positive.
i**(-3)
Simplify ((n*n**(-10)/n)/(n*n/(n/((n/(n/(n/n**(-11)))*n)/n))*n))**(-2/9) assuming n is positive.
n**(16/3)
Simplify (x**(2/23)/x**(-5))**(-45) assuming x is positive.
x**(-5265/23)
Simplify (k**(-2/9)*k)**(12/17) assuming k is positive.
k**(28/51)
Simplify (j**(-2))**1/(j*j*j**(-1/3)*j)**(11/2) assuming j is positive.
j**(-50/3)
Simplify (a/(a/(a**0/a)*a))**(-2/85)/(a**0/(a/a**(-5))) assuming a is positive.
a**(514/85)
Simplify ((c**(-1/2)*c)/(c/c**(-4)*c))**(17/6) assuming c is positive.
c**(-187/12)
Simplify (d**3*d)**21 assuming d is positive.
d**84
Simplify (r**9)**46 assuming r is positive.
r**414
Simplify ((w/w**0)/w)**(-27)*w**(2/7)*w*w**(-1/4) assuming w is positive.
w**(29/28)
Simplify (u*u/(u**(-4)/u))/u**19 assuming u is positive.
u**(-12)
Simplify a**(-5)/(a/((a*a/a**(3/8)*a)/a)) assuming a is positive.
a**(-35/8)
Simplify (u**0/u)**8/((((u/(u*u**(2/9)*u)*u)/u)/u)/(u*u**0/u)) assuming u is positive.
u**(-52/9)
Simplify ((q**5/q)/q*q*(q*q/q**(2/23))/q)**24 assuming q is positive.
q**(2712/23)
Simplify (h**(1/5)/h**(6/13))/((h**(1/3)/h)/h*h**2) assuming h is positive.
h**(-116/195)
Simplify (w*w/w**0)**(8/15)/(w**0*w*w/((w**(-4/7)/w)/w)*w) assuming w is positive.
w**(-473/105)
Simplify (k*k**(1/7)*k*k**7/k)/((k/k**1)/(k/k**(1/3)) | {
"pile_set_name": "DM Mathematics"
} |
4.57 - -10090. What is p rounded to the nearest 10?
-210
Let m = -180177.68863185 - 2112.82189715. Let i = 182290 + m. Let b = i - -0.511. What is b rounded to four decimal places?
0.0005
Suppose v + 854933 = -2*n, 41275 = -v - 4*n - 813656. Let f = -1485935 - v. Round f to the nearest one hundred thousand.
-600000
Let w = 126087707 + -126087805.3000112. Let a = -98.3 - w. What is a rounded to 6 dps?
0.000011
Let w = 4118168687 + -4118168963.6888403. Let l = -0.0401597 + w. Let a = l - -277. Round a to two decimal places.
0.27
Let i(u) = -2766*u - 1932. Let s be i(-32). What is s rounded to the nearest 100?
86600
Let a = 270.70439 + -11958468.70439. Let q = a + 11958048.00122. Let j = q - -150. Round j to four decimal places.
0.0012
Let z = 857259 - 861701.646. Let a = -4438 - z. Round a to the nearest integer.
5
Let u = -15837 - -15836.9984954. What is u rounded to five dps?
-0.0015
Suppose -4*b + 5*b + 4*u = 4057, 3*u = -4*b + 16228. Let k = -847 + b. What is k rounded to the nearest one thousand?
3000
Suppose -3*s + 2*q + 575924 = 0, -3*q = -s - 0*q + 191977. Let x = s + -66974. Suppose -r = 4*r + x. Round r to the nearest ten thousand.
-30000
Let d = 69.84004483 - 69.84. What is d rounded to 6 dps?
0.000045
Let m = -0.476 + 407.482. Let y = -0.006 + m. Let u = 404.37 - y. Round u to 1 decimal place.
-2.6
Let n be (-45)/(-3)*6/18. Let g(o) = 25 + 0*o - 27111*o**2 - n - 3*o. Let j be g(15). Round j to the nearest one million.
-6000000
Suppose 52*g + 306 - 14742 - 38656 = 0. Round g to the nearest 1000.
1000
Let l = 32.403 - 32.4079014. Round l to four dps.
-0.0049
Let z = 990.3 + -990.29797. Round z to 2 decimal places.
0
Let j = -52670 + 52669.600255. Let y = -0.4 - j. What is y rounded to 5 dps?
-0.00026
Let h = 520.790575 + 0.079425. Let c = 523 - h. Round c to 1 dp.
2.1
Let n = 6769 - 3229. Round n to the nearest 1000.
4000
Let x = -3162.618 + 3163. Round x to two dps.
0.38
Let j = 1655.9999999469 + -1656. Round j to seven decimal places.
-0.0000001
Let s = -3.1 + 11.1. Let f = s + 17. Let i = f + -24.2. Round i to 0 decimal places.
1
Let d = 0.08349 - 0.071272. Round d to four decimal places.
0.0122
Let p = 50.96 + -50. Let a = 23.96 - p. Let o = 23.00009 - a. What is o rounded to five decimal places?
0.00009
Let m = -645 - -412. Let s = 232.99614 + m. Round s to three decimal places.
-0.004
Let f = -6125 - -6124.5583. What is f rounded to 1 decimal place?
-0.4
Let l = 40 - 36. Let y be 1 - l - (613*-6)/(-6). Let z = y - -4616. Round z to the nearest 10000.
0
Let a = 183 - 82.9. Let r = -101.2 + a. What is r rounded to two decimal places?
-1.1
Let j = 4.63 - 3.86. Let a = 0.770894 - j. Round a to four dps.
0.0009
Let c = -132.219 + 188.602. Round c to the nearest 10.
60
Let o = 831 + -831.766. Let v = -0.7 - o. Let j = v + -0.036. What is j rounded to 2 dps?
0.03
Suppose 0 = 12*m - 13*m + 3*v + 63056997, 2*m - 126113999 = v. What is m rounded to the nearest one million?
63000000
Let k = 1216 - -303654. Let u = 304821.0038 - k. Let n = -49 - u. What is n rounded to 3 decimal places?
-0.004
Let q = -449.303 + 449. Let b = 3.843 + q. What is b rounded to one dp?
3.5
Let v = -8.28 + 342.28. Let f = v - 334.0000015. What is f rounded to 6 dps?
-0.000002
Let u(r) = -4*r + 25. Let t be u(15). Let g = -37 - t. Let i be (-4)/6 - ((-19649960)/(-15) - g). Round i to the nearest 100000.
-1300000
Let q = 110 + 73. Let n = q + -182.99999997. Round n to six decimal places.
0
Suppose 6*p - 8244000 = -24*p + 12*p. What is p rounded to the nearest 10000?
460000
Let h = 434 - 265. Let p = h - 168.99999436. What is p rounded to seven dps?
0.0000056
Let p = -19.4 - -24. Let c = p + -4.39. Let s = c + -0.048. Round s to 2 dps.
0.16
Let y = 520.8 - 596. Let m = 75.20000842 + y. Round m to six decimal places.
0.000008
Let w = 52196904844 - 52196908711.00006718. Let z = w + 3867. What is z rounded to five dps?
-0.00007
Let l = -9738915 + 25182965. Suppose 9*q = -7181950 - l. Round q to the nearest one hundred thousand.
-2500000
Let b = -814.3785 + -6.8515. What is b rounded to the nearest ten?
-820
Let s = -634.80787982 - -635.176. Let c = s + -46.36809678. Let v = c + 46. What is v rounded to 6 dps?
0.000023
Let y = 529 - 528.9514. Let i = y - 0.048599589. Round i to seven dps.
0.0000004
Let i = 2473.97906 - 2474. Round i to two decimal places.
-0.02
Let f(k) = 152890*k - 25. Let t be f(-11). Let u = 1026815 + t. What is u rounded to the nearest 10000?
-660000
Let h = 0.05069 + -0.67439. Round h to 2 decimal places.
-0.62
Let g = 261080356.9999902 - 261080251. Let q = -105.3041 + -0.6959. Let v = g + q. What is v rounded to 6 dps?
-0.00001
Suppose 5 = 3*h + d, 6*h = h + 2*d - 10. Suppose 5*v - 17545 = j, h = -7*j + 4*j - 2*v - 52618. What is j rounded to the nearest one thousand?
-18000
Let l = -98.6115 + 96.39. Round l to 1 dp.
-2.2
Suppose 12865970 = -3095*c + 3118*c. What is c rounded to the nearest ten thousand?
560000
Let t = -0.0443 + -26.7557. Let q = -26.800995 - t. Round q to five decimal places.
-0.001
Let v = -0.09 + 8.09. Let c = -1215111 + 1215118.999974. Let i = v - c. What is i rounded to 5 decimal places?
0.00003
Let u = -6.222 - -6.222003239. What is u rounded to seven decimal places?
0.0000032
Suppose -5*n + 3*q + 4474 = 0, 3*n = 13*q - 16*q + 2694. What is n rounded to the nearest 1000?
1000
Let a = 248.3 - 304. Let s = 54 + a. Let m = 7 + s. What is m rounded to zero dps?
5
Let v = -1830 + 1917. Let i = 14.3908 - 101.2298. Let k = v + i. Round k to two dps.
0.16
Let g(c) = -56336*c. Let s be g(25). Round s to the nearest 1000000.
-1000000
Let l(n) = -n**2 - 21*n. Let m be l(-21). Suppose 2*d - d + 2*i + 21 = m, 2*d = -i - 30. Round d to the nearest ten.
-10
Let h = -41829.949 + 41712. Let d = -58 - -176. Let q = d + h. Round q to two dps.
0.05
Let p = -25.96 - 5550.04. Let x = 5227.1 + p. Round x to the nearest ten.
-350
Let l = 359.195 + -359. Let w = -0.885 - l. Round w to one decimal place.
-1.1
Let v = -6149.2572 - -6149. Round v to one dp.
-0.3
Let p = -81324 - -69521.4. Round p to the nearest 100.
-11800
Let k = 3594 + -6272. Let i = -2678.002762 - k. What is i rounded to 4 dps?
-0.0028
Let d = -0.0191196 + 0.01816. What is d rounded to four decimal places?
-0.001
Let v = 5 - 7. Let s be 6546/(-18)*18/v. Suppose 6*z + 489 - s = 0. What is z rounded to the nearest 100?
500
Let d = 30.928 - -1.252. What is d rounded to the nearest ten?
30
Let c = 3600.1 + -3434. Let x = 166.0998499 - c. What is x rounded to five decimal places?
-0.00015
Let d = 29548 - 29533.299. Let i = d + -0.021. Let z = i + -20.8. What is z rounded to zero decimal places?
-6
Let b = -103.0327 + 103.87270125. Let s = b - 0.84. What is s rounded to 7 decimal places?
0.0000013
Let g = 469 + -1040. Let h = -91992708 - -91993279.00297. Let s = g + h. What is s rounded to 4 dps?
0.003
Let o = 359.7472 + -358.4. Round o to 1 dp.
1.3
Let w = 579332371.9997808 + -579332869. Let k = 497 + w. What is k rounded to five dps?
-0.00022
Let y(o) = 8*o**2 + 27*o + 15. Let m = -26 - -7. Let a be y(m). Suppose 0*n - n + a = 0. What is n rounded to the nearest 100?
2400
Let j = 876475.5119 + -449689.4837. Let m = j - 426831. Let t = -45 - m. What is t rounded to 2 dps?
-0.03
Let k = -524.2877763 + 524.29. Round k to 4 decimal places.
0.0022
Let a = 27337.181554 - 27646.1816. Let x = a - -309. What is x rounded to 5 dps?
-0.00005
Let s = -42 + 56. Let t be (-3)/(-3) - s/(-7). Suppose -5*y = -t*m - 1784, 2*y - m = y + 356. Round y to the nearest 10.
360
Let w = -15.4085 + 21.209. Let g = w - 5.8. What is g rounded to four dps?
0.0005
Let k be (16/24 + 14/(-12))*-6. Let w(c) = c**2 + 4*c + 4. Let y be w(k). Let f be (14547/(-9) + 2/6)*y. Round f to the nearest one thousand.
-40000
Let f = -0.55 - -11.47. Let q = f + -1.96. What is q rounded to the nearest integer?
9
Let g = 205.32 + -209. Let t = g - -0.08. Let l = -4.1 - t. Round l to the nearest integer.
-1
Suppose 2*t - 29872006 = -2*r, r - 14858335 - 77689 = -8*t. What is r rounded to the nearest one million?
15000000
Let z = -4 - -4. Let p = 200 - 193. Suppose z = -y - 2, -p*m + 5*m + y = 6338. Round m to the nearest one hundred.
-3200
Let t = -1083800 - -1083804.98747. Let c = 893 + -897.99. Let o = t + c. Round o to four decim | {
"pile_set_name": "DM Mathematics"
} |
-2*q + 18 = -3*a + 2*a, -q + 4*a + 2 = 0. Suppose -s - o - 1 = 0, -2*o = -0*o + q. Solve -2*x - 2*i = -s*i + 12, 4*x = i - 9 for x.
-1
Let f be (-44)/(-5) - (-3)/15. Suppose -17*g = -10*g - 28. Let s be g - 1 - (-4)/8*2. Solve 5*n = -f*t + s*t + 40, -5*n = 3*t - 30 for n.
3
Suppose 3*f - 6*x - 19 = 11, -4*x + 78 = 5*f. Solve -2*a = -4*h - f, 15 = -235*h + 230*h for a.
1
Suppose -118*o = -b - 113*o - 24, 2*b + 2*o = 36. Solve -3*a + 6 = 0, -38*s + 4*a = -35*s + b for s.
-1
Let p(v) = -v**3 + 18*v**2 - 19*v + 39. Let t be (-106)/(-6) + (-3 - 21/(-9)). Let a be p(t). Solve -a*b - 1 = 4*u - 5, -b - 2*u + 2 = 0 for b.
0
Let s(a) = -a**2 + 5*a + 14. Let t be s(7). Let i = 254 - 247. Suppose u + 3 = i. Solve -3 = u*w - x, t*x - 5 = 5*x for w.
-1
Let s be (-44)/(-7) - 22/77. Suppose -s*b + 12 = -12. Let i be (-4)/((-5)/(-5)) - -4. Solve 2*w + 20 = -b*y, i = 5*w - 2*w - 2*y - 2 for w.
-2
Let b(x) = -13*x + 81. Let r be b(6). Suppose 3*k + 1 - r = u, 4*u = -5*k + 26. Solve 0 = i + k*t + 3 + 12, -3*i = -3*t for i.
-5
Let j = 68 + -66. Suppose -129 = -4*x - 97. Solve -4*g - j = -r, 2*g + 2*g = -2*r - x for g.
-1
Let b = 222 + -142. Suppose 0 = -q - q - b. Let s = -20 - q. Solve -4*j + 2*y - s = 0, 5*j + 3*y + y = -25 for j.
-5
Let n(y) = -5*y**2 - 7*y - 1. Let m(r) = r + 20. Let q be m(-21). Let t be n(q). Solve 2*p + 1 = -u - 1, t = p + u for p.
-3
Let m = 14 + -12. Let u(g) = -2*g**2 + 6*g - 7. Let r be u(m). Let q(o) = -o + 4. Let s be q(r). Solve 3*a - h = s, -8*a + h = -3*a - 9 for a.
1
Let j = -2813 + 2816. Solve -2 = -2*v, -j*o + 4*v - 4 = -9 for o.
3
Suppose -5*o = z - 433, 3*o = -0*o + 5*z + 299. Solve 2*c = -l + 1, -4*l + 86*c - 14 = o*c for l.
-5
Let y be (25 + 6552/(-264))*11. Solve 3 = -5*d - 2*h - 4, 0 = -3*d + y*h - 17 for d.
-3
Let x = 58 + -24. Suppose -2*i + i = x. Let t = i + 38. Solve t = h + 2*n, 3*n - 28 = 4*h - 0*n for h.
-4
Let o(j) = 4*j**2 - 8*j + 13. Suppose -10 = -19*d + 14*d. Let q be o(d). Let m = q + -1. Solve -3*y = -9, -6*r = -5*r - 4*y + m for r.
0
Let y be 331/7 - (-32)/(-112). Let b = 51 - y. Solve b*s - 2*a = -16, 4 = -4*s - 2*a - 12 for s.
-4
Suppose 0*l + 4*l + 17 = h, l = -3*h + 25. Suppose -33*u + h*u = -48. Solve -2*q + 8 = f + f, -2*f + u = -q for f.
2
Let n = 5960 - 5941. Solve 4*r + 6 = -2*j, 4*j = -20*r + 19*r - n for r.
1
Let o = 24650 + -24638. Solve 2*i = -3*l + 4, -17*i + 4*l = -o*i + 36 for i.
-4
Let g(r) = -23*r**2 + 3*r - 2. Let q be g(2). Let s = -76 - q. Solve -h + s = -4*h, 4*t = -2*h - 28 for t.
-5
Let d = -8052 + 8057. Solve 40 = -3*p - d*v, 0 = 7*p - 6*p + 4*v + 25 for p.
-5
Let r = -13285 + 13293. Solve 0 = -5*v - i - 3, 2*v + 9 = 5*i - r*i for v.
0
Suppose 7*h - 3*h + 20 = -n, -2*n = -3*h - 4. Let p be h + 5/5 - -3. Suppose 7 = 3*f - 11. Solve 2 = -r + f*t - 4*t, 4*r + t + 17 = p for r.
-4
Suppose 4*r - 1 + 15 = -z, 3*r = -2*z - 3. Let x(m) = m**3 - 2*m**2 - 21*m - 13. Let a be x(z). Solve -a*c = 2*j - 7 + 29, -2*j = 2 for c.
-4
Let a be -6*(-4)/8*1. Suppose 5*w = -3*z + 31, 2*w + a*w = z + 23. Suppose 0 = -21*b + 4 + 17. Solve 2*g = p + 5*g + 4, z*p - b = 3*g for p.
-1
Let k(d) = -65*d**2 - 139*d - 5. Let s be k(-2). Solve -5*v - 7 = -2*l - 12, 2*l + s = -3*v for v.
-1
Suppose 180*r - 185*r = -2*g - 55, -2*g + 23 = r. Solve 9 = -s - 4*p - r, -15 = 3*p for s.
-2
Let y(v) = -3*v**2 + 107*v - 163. Let x be y(34). Solve s + 4*s + 2*m - x = 0, 0 = 4*s - 5*m + 1 for s.
1
Suppose -5*u = -10*u + 4*o, 0 = 5*u + 2*o - 30. Suppose n + s = 11, 2*n - u*s + 7 = 53. Let j = 175 - 172. Solve 4*r - n + 2 = -5*y, 5*r - 7 = j*y for r.
2
Let c be 24295/6215 - 8/(-44)*1/2. Solve 3*b - c = 4*z, -3*b + 31*z + 5 = 26*z for b.
0
Let z = -2 - -4. Let i = 4157 - 4157. Solve 0*u + y - 2 = u, i = -z*u - 2*y + 12 for u.
2
Suppose 0 = -8*i + 204 - 4. Suppose 10*w = 5*w + i. Solve -s - 37 = -5*s + w*y, -10 = -5*s - y for s.
3
Suppose 3*m - 2*t = -3*t + 120, -m - 5*t = -40. Suppose 7*s + 5 = m. Suppose -7*i + s*i + 6 = 0. Solve r - 1 = -i*v, r - 14 = 3*r - 2*v for r.
-5
Suppose 8 = 2*b, m + 3*m - 3*b + 20 = 0. Let c(y) = 5*y**2. Let k be c(m). Solve 5*n + 20 = 0, -6*u = -u + 5*n + k for u.
0
Let m be 210 + -201 + 1*-4. Solve -4*h = q, 5 = -m*q + h - 16 for q.
-4
Let n = -19 + 22. Suppose -2*x + 2 = 4*h, -n*x = -4*h + 9*h - 7. Suppose -6*q = -9*q + 6. Solve -q*r - 10 = 2*m, 5*r + m = 2*r - x for r.
-2
Let o(x) = x + 3. Let l be o(0). Suppose -l*z + 17 = p + p, -5*p - 4*z + 32 = 0. Suppose 38*m + 99*m = 3*m. Solve p*u - 7*v + 7 = -2*v, m = 5*u - 2*v - 4 for u.
2
Let w(s) = -66*s + 17. Let j be w(3). Let y = 189 + j. Solve 0 = 4*o - y, -4*b - o - 4*o = -18 for b.
2
Suppose -341*p + 334*p = 0. Solve -4*f - 20 + 29 = -5*z, p = -2*f + 4*z for f.
6
Let t = -93 + 96. Suppose 5*s + 2*r - 33 = 0, t + 3 = 2*s - r. Solve -2*i + 2 = -3*j, 2*j + 0*j - 5*i = -s for j.
0
Let h(q) = -3*q - 10. Let s(j) = 8*j + 19. Let t(u) = 7*h(u) + 3*s(u). Let o be t(5). Solve 0 = r + 5*y + 25, o*y + 4 = r - 6 for r.
0
Suppose 0*u - 2*w - 158 = -5*u, -162 = -5*u + 3*w. Let a = -142 - -146. Let b be a + (-2 - 1) + 2. Solve -u = -q + 5*p, -b = p + 2 for q.
5
Suppose -7*g + 128 = 88 - 86. Solve -2*r - 18 = -4*w, 3*w + 13*r - g*r - 10 = 0 for w.
5
Let k be -9 + 0 + 44/4. Solve -3*o = -4*v - 20, o + k*o = 0 for v.
-5
Suppose -14*l - 3*f = -10*l - 540, l - 2*f - 135 = 0. Let u = l + -132. Solve -3*q = -4*h + 2, u*q - 5*q - 5 = h for h.
-1
Suppose 0*t = 2*t + 66. Let z(u) = 74*u - 366. Let v be z(5). Let q be t/(-3) + (7 - v). Solve 3*h + 4*b = 35, -3*b + 21 = 4*h - q for h.
5
Suppose 2*y - 18 = -t, -5*y + 5*t + 44 = 8*t. Let v(b) = 9*b - 87. Let o be v(y). Solve 2*g - 4 = -o*q, 3*g - 5 = q + 1 for q.
0
Suppose -4*o + 22 = a, 51*a - 15 = 56*a - 5*o. Suppose -2*i = l - 2, 0 = -2*i + 3*i + 2. Solve -v + a = 3*m - 0, -m = 3*v - l for v.
2
Let d(y) = y**2 + 5*y - 29. Let l be d(4). Suppose 18 = -l*j + 13*j. Solve -4*n - 8 = -3*z, 2*n = -j - 1 for z.
0
Suppose -26 = -2*v - j, 332*j = 3*v + 334*j - 40. Solve -5*n + 18 + v = 5*g, -2*g = -4*n for g.
4
Let v(x) = -9*x - 4. Let r(q) = -2*q. Let i(l) = -6*r(l) + v(l). Let n be i(3). Solve 0 = -p - 3*w - 1 + 6, -n*p + 5*w = 35 for p.
-4
Let m = 1716 - 1712. Solve 4*z + 3*v + 10 - 8 = 0, 4*z = -m*v for z.
-2
Suppose t = 2*b - 102, 5*b + 3*t = 82 + 151. Suppose 0 = n + v - b, n + 8*v - 37 = 4*v. Let p = n - 48. Solve 0 = -2*g + p*g + 2*h + 8, 3*g + 2 = -5*h for g.
-4
Suppose -91*u - 150*u = -191*u - 1950. Solve -5*p - 3*k + u = 37, 0 = -2*p + k - 8 for p.
-2
Suppose -3*l + 6*l = -5*a - 148, 0 = -5*l + 5*a - 180. Let i = l - -51. Let u be (2/10)/(i/250). Solve 2*j + 2 = 4*s - 3*s, 0 = -u*s + 5*j - 5 for s.
-4
Let h be (-32)/208 - 134/(-26). Suppose -4*q + h + 29 = 5*z, 0 = -q - 3*z + 5. Let c = q - 7. Solve 0 = -2*s - s - 3*x + 21, -5*x + 32 = c*s for s.
3
Let y = -4068 - -4083. Solve 3*k = 2*h - 6, 5*h + 0*h - y = 4*k for k.
0
Let g = -10558 - -10632. Solve -g = -p - 76, -2*x + 4 = -p for x.
1
Suppose 0 = -0*v + 5*v. Suppose -62*h + 2928 = -68*h. Let t = h + 492. Solve -z = -2*k - t*z + 15, v = -4*k + z - 5 for k.
0
Let c be ((-4)/(-3))/(70/(-375))*(-189)/54. Solve c - 29 = -2*h, 30 = 4*s + 5*h for s.
5
Let q be -3 + (20 + -5 - 4). Let n(k) = k**2 - 7*k - 4. Let i be n(q). Solve -z + i + 8 = -3*t, 2*z - 2*t = 4 for z.
-3
Let j(k) = k**3 + 4*k**2 - 11*k + 11. Let i(h) = -h**2 + 7*h - 18. Let g be i(3). Let d be j(g). Solve -10 = -4*m + d*n + 4, -7 = -3*m + 2*n for m.
1
Let r(j) = -8*j - 28. Let w be r(-4). Let o be 17/w - 21/(-28). Solve -o*p - 4 = m + 2*m, -3*m = 4*p + 2 for p.
-2
Let q(p) = -2*p + 7. Let v be (-5 + -4)/((-3)/(-3)). Let j be q(v). Suppose -j = -6*k + k. Solve 8 = -2*n, -k*z + 3*n = -22 - 0 for z.
2
Let i be (38/5510*58)/(((-2)/(-80))/1). Solve 5*p - 2*w + 3*w = i, 5*p + 4*w = 34 for p.
2
Let r = -5 + 9. Suppose r*u - 4 = 3*u. Solve 17 = j - u*q, 2*j - 2*q + 31 = -7*q for j.
-3
Let f = 5678 - 5678. Let q = -23 + 26. Solve 3*p = -f*p, q*m = 4*p + 3 for m.
1
Suppose -21*k = 5*k + 13*k - 468. Solve k*t - 16*t = 5*j - 20, 4 = 5*t + j for t.
0
Let c be 34/14 - 80/(-140). Suppose -10*t = -12*t + 8. Suppose -3*u - 4*d = -5*u, t*d = -5*u + 28. Solve -18 = 3*s + u*z, c*z + z + 16 = -2*s for s.
-2
Suppose 16*v - 8*v = -v - 9*v. Solve v = -5*s - 2*m - 12, -3*m + 4 = -8 for s.
-4
Let b = 1351 + -962. Solve -2*v = -g + b | {
"pile_set_name": "DM Mathematics"
} |
(a) 1/6 (b) -0.1 (c) p
a
Let f = -190 - -189. What is the fourth biggest value in f, 0.2, -4, -6.6?
-6.6
Let w be -3*(-1)/(-12) - 0/(-1). Let h = -0.88 - -3.02. Let x = h - 0.14. What is the second smallest value in w, 0.4, x?
0.4
Let k = 147.664 + -147. Let p = k - 0.164. Let d = -25 - -20. What is the fourth smallest value in -2, d, p, -0.5?
p
Let o = 3758 - 3756.95. What is the biggest value in 4, o, 3/8?
4
Let g = 1454.3 - 1451.3. What is the third smallest value in g, 5, 0.3, 1/2, 58?
g
Let n = -310.18 - -310. Let f = -0.48 - n. What is the biggest value in -2/9, 2/9, f?
2/9
Let i = 1.503 + -1.237. What is the fourth smallest value in 2/5, -2/13, 0, i?
2/5
Let h = -0.2 - -0.35. Let w = 953333/7 + -136190. What is the third biggest value in h, 1, w?
h
Let g(w) = 23*w**2 + 303*w + 15. Let x be g(-13). Which is the smallest value? (a) 4 (b) x (c) 7
b
Let n = -24896 - -99583/4. Which is the third smallest value? (a) -0.5 (b) n (c) 4 (d) -5/2 (e) -28
a
Let v = -415.019 - 8.981. Which is the second biggest value? (a) v (b) 1 (c) 2/11
c
Let d = 2998 + -2998.1251. Let q = d - -0.0251. What is the second biggest value in -1.1, 1, q?
q
Let v = 832/3753 + 2/3753. Let l = -11 + 0. Let g = l - -16. Which is the third biggest value? (a) v (b) -3/2 (c) g (d) 0.5
a
Let r = -1.7 - -6.7. What is the third biggest value in r, 24, 0.1?
0.1
Let g = 4021.5 - 4021. Which is the second smallest value? (a) -1/65 (b) -2 (c) -3 (d) g
b
Let m = -15615 + 47944/3. Let d = 366 - m. What is the biggest value in d, -2/13, 0.1?
0.1
Let j = 4960 + -4737. What is the biggest value in -1, 0.3, j, 4?
j
Let t = -310 - -306.13. Let n = 0.13 - t. Let r = -2892 - -2892.5. What is the second smallest value in n, r, -0.2?
r
Let h = 211.03 - 211.09. Which is the third biggest value? (a) -4.5 (b) 1/4 (c) -7 (d) h
a
Let w = 15944.7 - 15945. Let k = 0.06 - -1.94. Let a = k + -2.1. What is the fourth biggest value in 2/13, w, -2, a?
-2
Let u = 117.523 + -117.44. Which is the fifth smallest value? (a) -1 (b) 0.2 (c) -0.3 (d) u (e) 0.5
e
Suppose -2*p + 3*b - 4 = 0, 0 = -0*p + 3*p - b + 6. Let g(s) = -4*s**3 - 2 - 1 + 0*s**2 - 2*s**2. Let x be g(p). What is the third biggest value in -5, x, -0.1?
-5
Let j = 6 + -6.4. Let w(p) = 16 - p - 34*p**2 + 13*p**2 - 7*p + 22*p**2 - 5. Let d be w(6). What is the fourth biggest value in 1, d, 1/7, j?
d
Let t = 4.597 + -3.597. What is the third smallest value in -32, 2/27, t?
t
Let y = 7198 - 7197.9. Which is the second biggest value? (a) -5 (b) -2/13 (c) -2/29 (d) y (e) 2/9
d
Let j be (14/8)/(2*(-7)/56). Let f be 1412/52 - j/((-182)/4). Let y be (-3)/(f/8)*34/136. Which is the fourth smallest value? (a) y (b) 2/13 (c) -5/3 (d) -5
b
Let u = 0.17911 + -0.16911. Which is the third biggest value? (a) -4 (b) 234 (c) u
a
Let z = -18499.0133 - -18513. Let g = z - -0.0133. Which is the smallest value? (a) g (b) 4 (c) -1/5 (d) -1/4
d
Let t = -1952 + 1949. Let g = -6 + 8. What is the second biggest value in -0.1, -2, t, g?
-0.1
Let v = -74 + 279. Let q = v - 202. Which is the second biggest value? (a) 0.8 (b) -2/5 (c) q (d) -6/5
a
Let r = -54/133 - 3/133. Let z = -1715 + 15437/9. Which is the third biggest value? (a) r (b) z (c) 2
a
Let d be 2 + (14 - 13) + -8. What is the second smallest value in d, -0.4, 0.5, 2/279?
-0.4
Let w be (-4)/(-15) + (-16)/24. Let t = 816.9 + -817. What is the smallest value in t, w, 1, 0.3?
w
Let n = 855 - 850. What is the fourth biggest value in -4, n, 0.3, -7?
-7
Suppose -3*h - h + 20 = 0, -3*h + 5 = -y. Let t = -2.2 + -27.9. Let m = -30 - t. Which is the second smallest value? (a) 0.4 (b) m (c) 4 (d) y
a
Let w(f) = 27*f - 131. Let s be w(5). Let h = -17 + 12. Which is the second biggest value? (a) 10 (b) h (c) s
c
Let w = 9.91 - 8.91. What is the biggest value in w, -3/10, -1/5?
w
Let q = 2371 + -2368. Let o = -1.315 - -0.245. Let u = -0.07 - o. What is the smallest value in 7/6, u, q?
u
Let g = -5087.87 - -5088. Which is the third biggest value? (a) g (b) 6 (c) -0.3 (d) -2/13 (e) -0.2
d
Let c = 25 + -22.54. Let d = c - 7.46. What is the fourth smallest value in d, -10, -0.3, 1?
1
Let w be (-2 + 1)/((14 - 1) + -26). Let o = 135 + -130. Which is the smallest value? (a) -3/13 (b) w (c) o
a
Let y be ((-63)/54 - 1/(-3))/(30/(-27)). Which is the third biggest value? (a) -2/9 (b) 1/7 (c) -0.13 (d) y
c
Let s = -5467 + 5499. Let h = 32.054 - 0.054. Let r = s - h. What is the second biggest value in 0.2, 3, -0.1, r?
0.2
Let u = -5 + 2. Suppose -5*f = -2*k + 38, 6*f = 3*f. Suppose -p + 1 = -w, 16*w - k*w - 5 = -p. What is the biggest value in u, p, -1/9?
-1/9
Let s = -4.3 + 4. Let v = -1.67 + 0.14. Let q = v + 2.53. Which is the fourth smallest value? (a) q (b) s (c) 5 (d) -3/4
c
Let y = -116/3 + 39. Let d = 17087 - 17118. What is the third biggest value in d, y, -1?
d
Let b = 34425/4 - 8607. Suppose 5*i + 0*i + 5 = 0. What is the third biggest value in -17, b, -1/2, i?
i
Let h = -24232 - -47858201/1975. Which is the second biggest value? (a) h (b) -2 (c) 4/9
a
Let i = 3130.6 - 3131. Which is the third smallest value? (a) 0.3 (b) -2/3 (c) -1 (d) i (e) -0.11
d
Let o(i) be the second derivative of i**3 + 37*i**2/2 - 30*i. Let n be o(2). Which is the second biggest value? (a) -3/7 (b) n (c) -0.3
c
Let o = -1 - -1.4. Let h = o - -0.1. Let w = 0.085382 - -0.014618. What is the third smallest value in h, w, 4?
4
Let t = -2.25 + 2.2873. Let f = t + -0.2373. What is the third smallest value in 0.5, -7.7, f?
0.5
Let z = 4155 - 4159. What is the biggest value in -7, -3, -1/2, z?
-1/2
Let l = -2 + -3. Let u(s) = s**3 - 9*s**2 - 10*s + 12. Let i be u(10). Let d be (-6)/(i - 6)*1/(-3). Which is the third biggest value? (a) -0.3 (b) d (c) l
c
Let t = 350 + -317.2. Let k = t - 32.3. Let i = -313/1120 - 1/160. Which is the third biggest value? (a) k (b) i (c) -1/2 (d) -2/3
c
Let v = -2815 - -2815.1. Which is the fourth smallest value? (a) -0.3 (b) -12 (c) 12 (d) v
c
Let d = 8227 - 8313. What is the third biggest value in 1/4, -2, -3, d?
-3
Let h = 6.4 - 7. Let z = 0.8 + h. Let m = -30839 - -30834. What is the smallest value in -0.1, m, 2, z?
m
Let y = 82 + -73.9. Let b = y + -86.1. Let o = b + 77.76. What is the smallest value in o, 1, -3?
-3
Let i = 2520.7 - 2711. Let x = 199 + i. Let n = x - 4.7. Which is the biggest value? (a) 2/11 (b) 4/3 (c) n (d) -5
c
Suppose -112*f = -845 + 621. What is the fifth biggest value in 0.011, f, -0.02, -0.5, 1/2?
-0.5
Let f(p) = -225*p + 3371. Let g be f(15). Which is the fifth biggest value? (a) 2 (b) 3 (c) -0.2 (d) g (e) 1
d
Let n = 21193 + -21194. What is the third smallest value in -24, n, 18, -5, -1/5?
n
Let w = -402.1006 + 0.1006. Let n = -402.1 - w. Let t = 0.1 + -2.1. What is the smallest value in -2/13, n, t?
t
Let p be (-2)/4 + 3/9. Let i(k) = 584*k - 595. Let u be i(1). Which is the biggest value? (a) u (b) p (c) -5 (d) 0
d
Let i = -52267/165 + 1584/5. Which is the third smallest value? (a) -0.5 (b) -1 (c) 2/7 (d) i (e) 2/5
d
Let r(j) = -879*j - 5272. Let y be r(-6). Let g = -15 - -19. What is the biggest value in y, -2, 0, g?
g
Let b be 3 + 0 + (-93)/33. Let z = 0.05 + -3.05. Let n = 670.3 - 670. What is the third biggest value in -0.3, z, b, n?
-0.3
Let x = -0.2833 - 0.1167. Which is the biggest value? (a) 35 (b) 0.3 (c) -2 (d) x (e) -3
a
Let i = -3858 + 3859. Let b = 0.8 - 0.3. Let m = -23 - -95/4. What is the smallest value in -3/2, m, b, i?
-3/2
Let l = -0.37 + -0.13. Let p = 6689 + -6694. Let k = -2 + 2.4. Which is the second smallest value? (a) -6 (b) p (c) k (d) l
b
Let j = 9 + -7. Let m = -4426.9 - -4426. Which is the second smallest value? (a) m (b) -5 (c) j
a
Let r = -842 + 566. Let t = 261 + r. What is the second biggest value in -4, -0.6, 3, t?
-0.6
Let t = -32.877 + 32.82. What is the third biggest value in -0.4, -12, t?
-12
Let u = 13670 + -13673. Let p = 6781/17 + -399. What is the third biggest value in 7, u, p?
u
Let h = -53/2 + 155/6. Let k = 13.8437 + 0.1563. Which is the third biggest value? (a) k (b) h (c) -3/2
c
Let d be 589/589 + 6*(-2)/9. Let q = -2 + 1.5. What is the smallest value in -0.1, d, 0.4, q?
q
Let x = 1946 + -1946.3. Which is the biggest v | {
"pile_set_name": "DM Mathematics"
} |
ort n, 0, s.
s, 0, n
Suppose 0 = 3*p + c - 18, 2*p - 4 = 6*c - 4*c. Let s be 3 + p + (0 - 0). Let y be ((-2)/20)/(s/(-20)). Sort y, 1, -1 in increasing order.
-1, y, 1
Suppose 43 + 11 = -3*f. Let z be f/(-4)*(-2)/(-12). Let h = 0.3 - -0.1. Sort 3, h, z in descending order.
3, z, h
Let z = -3 + 0. Put 11, z, 1 in descending order.
11, 1, z
Suppose 2*p = 7*p - 1065. Let q = 2016269/153 - 120520/9. Let r = p + q. Sort 0.3, r, -2/19 in ascending order.
-2/19, r, 0.3
Suppose -2*q = -q - 5. Suppose 0*x - x - 2*s + 7 = 0, -22 = -4*x - q*s. Suppose -x*a - 2 = -5. Put 3/5, a, 5 in decreasing order.
5, a, 3/5
Let u = 88 + -260/3. Sort -4, 1, u in increasing order.
-4, 1, u
Let w = -0.02 - 3.98. Let z = -1 + -2. Let u = z - w. Sort u, 5, -4 in decreasing order.
5, u, -4
Let m(s) be the second derivative of -s**3/3 - 5*s**2 - s. Let t be m(-8). Suppose 3*r + t = 5*r. Put -5, r, 5 in decreasing order.
5, r, -5
Let f(p) = -p + 6. Let s be f(5). Let j be -6*(-2)/(-12)*3. Sort j, -2, s in decreasing order.
s, -2, j
Let t(g) = -g**3 - 2*g**2 + 3*g + 4. Let y be t(-2). Sort -1, y, -5 in increasing order.
-5, y, -1
Let p = 8 + -9. Let r be 0 + 2 - (-4 - -6). Sort r, p, 1.
p, r, 1
Let u = -2 + 1.7. Let p = 6 - 6.1. Sort u, p, -3 in decreasing order.
p, u, -3
Suppose -2*m - 3*q = -q + 2, -5 = 5*m + q. Sort 2, m, 5 in increasing order.
m, 2, 5
Suppose 6*c - 13*c = -168. Sort 4, c, 1.
1, 4, c
Let v be (-6)/8*1*-1. Let j = -0.8 + 5.8. Put j, v, -2/9 in descending order.
j, v, -2/9
Let r = -40 - -27. Let m = -8 - r. Sort m, 0, -3 in descending order.
m, 0, -3
Suppose 0*v - 5*v + 9 = -4*z, -3*v + 3 = -3*z. Suppose -6 = v*o - 3*o. Let j = o + 0. Put 2, j, -4 in ascending order.
-4, j, 2
Let y(v) = -v**2 + 3*v + 6. Let c be y(5). Sort 0, -5, c in ascending order.
-5, c, 0
Let z(f) = f**2 - 2*f - 2. Let w be z(-2). Let a = 5 - w. Put -1/5, a, -3 in decreasing order.
-1/5, a, -3
Let s be (0 - 0) + (-20)/(-4). Suppose 4 = 2*j + 4*u, -u - 15 = -s*j - 6*u. Let a = 1.06 + -0.06. Sort 2/17, j, a in descending order.
j, a, 2/17
Let w = 1.63 - 1.13. Sort -3/2, 11, w in increasing order.
-3/2, w, 11
Let q = 6 + -6.06. Put -0.2, -2/3, q in decreasing order.
q, -0.2, -2/3
Suppose -3*b = 19 - 10. Put b, -5, 4, -1 in decreasing order.
4, -1, b, -5
Suppose -3*i + 3 + 0 = 0. Put i, -3, -8 in ascending order.
-8, -3, i
Suppose g + 3*g + 16 = 0. Suppose 5*d + 45 = -5*a + 15, -3*d + 5*a + 14 = 0. Sort g, 2, d in ascending order.
g, d, 2
Suppose 3*m = -2*h - 11, -4*m - 7 + 0 = -5*h. Put 5, 2/15, h in descending order.
5, 2/15, h
Let t = 70 - 493/7. Let c be (-44)/208*-4 - 1. Sort t, c, 1 in descending order.
1, c, t
Let q be -5 + (392/52 - 3). Sort q, 5, -0.5.
-0.5, q, 5
Let u = -452 - -453. Let q = -0.02 + 0.32. Sort u, 4, q in descending order.
4, u, q
Let q be 2 - (4 - (-1 - -1)). Let g(d) = -2*d. Let m be g(2). Sort m, q, 5.
m, q, 5
Suppose -3*w + 8 = -16. Suppose -5*m + 3 = -d, 3 = 5*m + 3*d - w. Let i be -3 - (m + (-1)/(-1)). Sort 5, i, -1 in decreasing order.
5, -1, i
Let a be 3 - 2 - (-1 + 400/204). Put 1/8, a, 2 in increasing order.
a, 1/8, 2
Suppose 4*d = 4*q + 4, 0 = -2*d + 7*d - 15. Let a = -4 + q. Let n be (-3)/(a - 10/(-8)). Sort 2, n, 1 in descending order.
n, 2, 1
Suppose -u - 10 = 4*m, -u - 5*m - 13 = -0*u. Suppose 0 = u*l + 3*l + 15. Suppose -3*i + 5*q - 37 = 0, i - 3*q = 9 - 28. Sort l, 0, i in decreasing order.
0, l, i
Let t = -15 + 15. Put -4, t, -0.2 in descending order.
t, -0.2, -4
Suppose 4*i + 6 = i. Sort i, -4, -3.
-4, -3, i
Let n be (-1)/(-1) + 5/(-1). Let z(p) = 6*p - 29. Let y be z(5). Put 2, n, y in increasing order.
n, y, 2
Let y = 7/30 + 4/15. Let q be ((-10)/4)/(18/(-12)). Sort q, -1/2, y in descending order.
q, y, -1/2
Let k be (-105)/12 + 30/40. Sort -0.4, -1/3, k, -3/7 in decreasing order.
-1/3, -0.4, -3/7, k
Suppose 0 = -0*t - 2*t - 8, -w - 4 = 2*t. Put 2, 1, -3, w in descending order.
w, 2, 1, -3
Let d = -27 - -12. Let r = d - -15. Sort 4, -2, r in decreasing order.
4, r, -2
Let i = 2/235 + -719/1645. Let w = i + 4/7. Sort w, -0.1, -4/3 in descending order.
w, -0.1, -4/3
Let h(c) = -c - 1. Let s be h(0). Put -2/9, s, -12 in increasing order.
-12, s, -2/9
Let k = 285 + -3133/11. Let x = 0.2 - -3.8. Let b = 6 - 1. Sort x, b, k in decreasing order.
b, x, k
Let w(u) = -u**2 + 14. Let a be w(4). Sort -17, 3, a in ascending order.
-17, a, 3
Let w = -25 - -24. Sort 1, 4, w in descending order.
4, 1, w
Let g = 4/3 + -23/15. Let z = -9 + 4. Let j(m) = m**2 + 9*m - 3. Let a be j(-9). Sort z, a, g in ascending order.
z, a, g
Let b(l) = -l**3 + 4*l**2 + 7*l - 8. Let y be b(5). Sort 6, y, -2, 3 in descending order.
6, 3, y, -2
Suppose 2*w - 12 = 2*y, 13 = -5*y + 4*w - 13. Sort 5, -4, y in descending order.
5, y, -4
Let z be (-1 - -1) + -5 + 354. Let t = -2439/7 + z. Sort -1/3, -3, t.
-3, -1/3, t
Let l(i) = 5*i - 15. Let r be l(2). Put 1, 13, r in descending order.
13, 1, r
Let m = 0.18 + -0.29. Let o = -0.1 - m. Let a = o + 2.99. Sort a, -2, -4/5 in decreasing order.
a, -4/5, -2
Suppose -26*x = -34*x - 120. Sort x, 1, 4.
x, 1, 4
Let s = -58 + 463/8. Sort s, -3/7, 0, 1/2.
-3/7, s, 0, 1/2
Let i(o) = -2 + 2*o - 1 + 0. Let l be i(4). Suppose p + l = x, p - 3*p - x = -5. Sort 1, 5, p.
p, 1, 5
Let s = -37 - -42. Suppose 0*g + 10 = 5*g. Let a = 1 - g. Put s, a, 3 in descending order.
s, 3, a
Suppose 3*s - 8 = -s. Let c be 1*(2 - 0)/2. Let g be (-8)/2*(c - 2). Sort s, -5, g.
-5, s, g
Let z be 10/6 - (-2)/(-3). Let m = 3 - z. Suppose -p + 3*p - m = 0. Sort p, 5, -2/9 in descending order.
5, p, -2/9
Suppose 0 = 4*t + 2*v - 14, -2*t + 3 = 3*v - 2. Let n be 2/1 + (1 - 2). Let q = -5 + n. Sort q, t, 2 in increasing order.
q, 2, t
Let c = 14 - 13. Sort c, -4, 0 in increasing order.
-4, 0, c
Let j = -4 - -3.8. Sort -5, -2, j in descending order.
j, -2, -5
Suppose -n = 2 - 5. Put -0.04, 4, n in decreasing order.
4, n, -0.04
Suppose -3*w + 15 = 0, -5*w = -3*r - 0*w + 261509. Let v = r - 13338487/153. Let s = v + -2/153. Sort s, 0.5, -1 in increasing order.
s, -1, 0.5
Suppose -7*r + 3*r = -8. Suppose g + 3 + r = 0. Sort 2/5, 3, g in descending order.
3, 2/5, g
Suppose -5*m = -3*m + 28. Let g = -10 - m. Put 1, -2, g in decreasing order.
g, 1, -2
Let i(u) = -2*u - 5. Let j be i(-4). Suppose -8 + 2 = -j*d. Let y(v) = -v + 3. Let h be y(5). Put h, d, 0 in increasing order.
h, 0, d
Let t = 20 - 22. Sort -0.5, -1, t in descending order.
-0.5, -1, t
Let m(u) = -2*u + 6. Let b be m(2). Sort 4, 3, b in increasing order.
b, 3, 4
Let s be (1*-2)/(2/2). Let l be (s - -3) + (-3)/(-6). Let f = -0.2 - -0.4. Put 0, l, f in descending order.
l, f, 0
Let x = -0.028 + 0.528. Sort 1/7, x, 4, -0.5 in descending order.
4, x, 1/7, -0.5
Let r = -41 - -42. Let p be (1*-3)/(3/2). Sort r, p, 3.
p, r, 3
Let u = -14.24 - -0.24. Let c = u + 14.5. Put c, -4/3, 0.2 in decreasing order.
c, 0.2, -4/3
Suppose -7*n + 6 = -29. Sort -5, n, -4, 3 in increasing order.
-5, -4, 3, n
Let w be (-4)/(-10) - 46/(-10). Put -2, 1, w in increasing order.
-2, 1, w
Let u(f) = -f**3 - 12*f**2. Let b be u(-12). Suppose 0 = 3*s - 5*h - 27, 4*s = -b*h - 5*h + 1. Let p = 3.4 - 3. Put s, p, -2/9 in increasing order.
-2/9, p, s
Suppose 10 = -2*b, t - 2*b - 21 + 6 = 0. Put t, 0, -21 in increasing order.
-21, 0, t
Suppose -9 - 7 = -4*c. Sort c, -1, 5 in increasing order.
-1, c, 5
Let a = -15 + 13. Put 2, -3, a in decreasing order.
2, a, -3
Let m = 2 + 2. Suppose -3*v + 12 = 0, -4*w = w - m*v + 31. Suppose -s + 1 = -2*s. Sort -4, s, w.
-4, w, s
Let f = -7 - -11. Suppose 6 = 2*w - 0. Suppose -w*m + 4*s = 0, 3*s = 2*m - s. Sort -2, f, m in ascending order.
-2, m, f
Let z be 0*(1/2)/1. Let v(i) = -i**3 - i**2 - 1. Let c be v(z). Put c, 1, 5 in ascending order.
c, 1, 5
Suppose f + 4 = -4*d, d + 4 = -f + 3*d. Let i be (6/f)/(3/4). Let x be (-7)/((-364)/(-221)) - (-10)/8. Sort i, 2, x.
x, i, 2
Let o(w) = 12 + 1 + 12*w - 2*w + w**2 + 0. Suppose -4*u = -3*d + 4*d + 34, -49 = 5*u - 2*d. Let j be o(u). Sort 1, -2, j in descending order.
j, 1, -2
Let l = -0.21 + -0.29. Sort -8, 4/5, l, 4 in ascending order.
-8, l, 4/5, 4
Suppose 5*m + 6*s + 15 = s, -3*m - 2*s = 6. Sort -5, -0.3, m.
-5, -0.3, m
Let c = 37 - 33. Put -3, 0, c in descending order.
c, 0, -3
Suppose 0 = -0*d + 4*d - 36. Sort 2, 1, d.
1, 2, d
Let b = 12 + -17. Let q = -0.23 - -0.13. Sort q | {
"pile_set_name": "DM Mathematics"
} |
- 479, -g + 5*g + h - 608 = 0. List the prime factors of g.
3, 17
Suppose 36*z + 69 = 39*z. List the prime factors of z.
23
Let c = 2 + -6. List the prime factors of ((-204)/48)/(1/c).
17
Let k(b) = b**3 + 12*b**2 - 2*b - 15. List the prime factors of k(-12).
3
Let z = 15 + -4. List the prime factors of z.
11
Suppose 0 = 281*s - 278*s - 648. What are the prime factors of s?
2, 3
Suppose 3*f = 3 - 12. What are the prime factors of 102/8 + f/(-12)?
13
Let b be 2/(-6) - (-65)/15. Suppose 7 = -b*r - 3*u - 0, r + 4*u = -18. Suppose 14 = -s + r*s. What are the prime factors of s?
2, 7
Let z(c) = -c**2 + 3*c + 8. Let x(k) = 5*k**2 - 15*k - 41. Let d(l) = -2*x(l) - 11*z(l). List the prime factors of d(5).
2
Suppose 3*k + 2 = -2*d, -k - d - 4 = -2. List the prime factors of k.
2
Let r(u) = -u - 3. Suppose -o - 1 + 4 = 0. Let f be r(o). List the prime factors of (14/f)/((-1)/3).
7
Suppose -7*q = 2*u - 2*q - 72, 80 = 2*u + q. List the prime factors of u.
41
Let m be (-369)/117 + (-4)/(-26). List the prime factors of -3*(m + 124/(-12)).
2, 5
Suppose a - 2*a = 3, -5*t + 231 = 3*a. Suppose -4*w = -w + 3*s - t, 5*w + 2*s = 68. What are the prime factors of w?
2, 3
Suppose 4*g - 6 = 18. Suppose -4*i - g - 46 = 0. What are the prime factors of (i/2)/((-2)/4)?
13
Let g be (-2)/(-7) + (-206)/(-14). Suppose 4*t = -t. Suppose -5*h + t + g = 3*y, -y = 0. What are the prime factors of h?
3
Let q be 50 - -1 - 8/(-8). Let y = q + -33. List the prime factors of y.
19
Let p = 610 - 293. List the prime factors of p.
317
Let n(k) = -k**3 - 2*k**2 + k + 4. What are the prime factors of n(-5)?
2, 37
Let s = -8 + 11. Let w = 3 - s. Suppose w = i - 5 - 4. What are the prime factors of i?
3
Suppose -5 = -l, 5*x - 4*l + 6*l + 30 = 0. Let f = 5 - x. What are the prime factors of f?
13
Suppose 0 = 11*b - 8*b - 282. List the prime factors of b.
2, 47
Let u(d) be the third derivative of -1/8*d**4 - 2*d**2 + 0*d + 0 + 0*d**3. What are the prime factors of u(-5)?
3, 5
Let a be (-21)/(-2) - 6/(-4). Suppose -a + 16 = l. List the prime factors of l.
2
List the prime factors of (-3 + (-26)/4)*-2.
19
Suppose -2*b + 15 = b + 5*k, 52 = 4*b - 4*k. List the prime factors of b.
2, 5
Let j = -10 - 0. Let o(m) = -m**3 - 9*m**2 + 8*m - 2. What are the prime factors of o(j)?
2, 3
Let f(c) be the second derivative of -c**5/60 - c**4/3 - 2*c**3/3 + c**2/2 + 2*c. Let o(k) be the first derivative of f(k). List the prime factors of o(-4).
2, 3
Suppose 0 = 4*x - 4 - 0. Suppose x = -2*p + 3*r, -2*p - 3*r - 27 - 4 = 0. Let u(t) = -t**3 - 8*t**2 - t + 7. What are the prime factors of u(p)?
3, 5
Let k(z) = z**3 - 8*z**2 + 9*z - 3. Suppose 12 = 4*a + 3*g, a - 12 = -3*a + 5*g. Let b be 7/2*6/a. List the prime factors of k(b).
11
Let k(f) = 30*f**3 + f**2 - 2*f + 1. Let t be k(1). Suppose -4*q + t = -2*q. List the prime factors of q.
3, 5
Suppose -q + 2 - 3 = 0. Let v(n) = -n - 4*n - 3*n. What are the prime factors of v(q)?
2
Let f be ((-50)/4)/1*-6. What are the prime factors of 3/12 - f/(-4)?
19
Suppose 0 - 22 = -3*f - 5*x, -5*x + 10 = 0. Suppose 8*m - 40 = f*m. What are the prime factors of m?
2, 5
Suppose 2*i - 2*p = 22, 0 = -2*i - 2*i - 2*p + 14. What are the prime factors of i?
2, 3
Let d(n) = n**2 + 5*n - 1. Let h be d(4). Suppose h = -6*t + 11*t. What are the prime factors of t?
7
Suppose 33 = l + 5*x, 5*l + 2*x - 7 - 273 = 0. What are the prime factors of l?
2, 29
Suppose 6*r = -8*r + 4144. What are the prime factors of r?
2, 37
Let r be -3*(-1)/(-2)*-2. Suppose 4*q + 0*n - 5*n - r = 0, 1 = 2*q - 3*n. Suppose q*h + 2*h = 8. What are the prime factors of h?
2
Let w(j) = -j**2 + 5*j - 4. Let g = -5 - -9. Let k be w(g). Suppose 39 + k = 3*c. What are the prime factors of c?
13
Let t(j) be the third derivative of -7/24*j**4 + 0*j - 4*j**2 + 1/12*j**5 - 2/3*j**3 + 1/120*j**6 + 0. List the prime factors of t(-6).
2
Let h(d) = 10*d**3 + d**2 + 4. List the prime factors of h(2).
2, 11
Suppose 0 = 3*d - 2*o + 30, 54 = -3*d - 5*o + 3. Let g = 26 + d. What are the prime factors of (6/7)/(2/g)?
2, 3
Let i(r) = -r**2 + 5*r + 7. Let g be ((-4)/3)/(2/(-9)). Let n be i(g). What are the prime factors of (3 - n)/((-1)/(-4))?
2
Let x = -4 - -7. Suppose -3*w - 2*w + x*u + 45 = 0, 5*w - 25 = -u. What are the prime factors of w?
2, 3
Suppose 0 = 4*b - 4, 4*b = -4*m. Let r(c) = 4*c**2 - 1. Let v be r(m). Let i(j) = j**2 - 2*j + 1. What are the prime factors of i(v)?
2
Suppose 0 - 2 = -t. Let f be (-4)/(-6) + t/(-3). Let z = f - -9. What are the prime factors of z?
3
Suppose -54 = -7*v + 4*v. What are the prime factors of v?
2, 3
Let v(w) = -w**2 + 4*w - 2. Let n be v(4). List the prime factors of 7 + ((-6)/(-1))/n.
2
Suppose 0 = -o - 2*o. Suppose o = 2*f + 3*f - 40. List the prime factors of f.
2
Suppose -2*y + 198 = 4*f, -5*f - 2*y + 253 = -5*y. Suppose 3*a - f = -2*a. What are the prime factors of a?
2, 5
Let l be 2/(-1) + -11 + 0. Let a = -3 - l. What are the prime factors of a?
2, 5
Suppose 0 = 3*c - 22 - 11. What are the prime factors of c?
11
Suppose 3*c + 2 - 104 = 0. What are the prime factors of c?
2, 17
Suppose 5*i = -c + 3*c - 11, 16 = 5*c - i. Suppose -2*p = -1 - c. List the prime factors of p.
2
Let d(c) be the second derivative of 5*c**4/12 - c**3/3 + c**2/2 - 5*c. List the prime factors of d(-2).
5
Let a be (-5)/(15/6) + 14. Suppose a = -0*p + 4*p. List the prime factors of p.
3
Let k = -48 - -94. List the prime factors of k.
2, 23
Let m = -8 + 11. Suppose 8*v - 35 = m*v. What are the prime factors of 114/v + 2/(-7)?
2
Suppose 5*i = -5*v + 30, -5*i = -3*v + v - 23. Let r = v - -3. Suppose 2*b - 22 = -2*o, r*o - 7*o - b = -31. List the prime factors of o.
2, 5
Let b(t) = 4*t - 8. Suppose -3*v + 5*h + 25 = h, -4*h = 4. List the prime factors of b(v).
2, 5
Suppose c + 13 = 2*c. Let t = 29 - c. List the prime factors of t.
2
Let d be ((-4)/6)/((-4)/(-12)). Let n = d - -6. List the prime factors of (-14)/n*(-3 + 1).
7
Let c(g) = g**3 - g**2 - g + 2. Let x be c(2). Suppose x*f = 75 - 15. What are the prime factors of f?
3, 5
Let d(a) = -a + 6. Let j be ((-3)/3)/(1/(-4)). What are the prime factors of d(j)?
2
Let o = 22 + 30. List the prime factors of o.
2, 13
Suppose -2*d + 2 = -d. Suppose -k - d*k + 60 = 0. Suppose 2*l + k = -3*l, -3*s - 5*l + 1 = 0. List the prime factors of s.
7
Suppose 4*q - 5 = 3*s, -2*q + s - 3 = -8. What are the prime factors of q?
5
Let p(a) be the first derivative of a**5/20 - 2*a**4/3 + 4*a**3/3 + a**2/2 - a - 2. Let n(j) be the first derivative of p(j). List the prime factors of n(7).
2
Suppose 35 = 5*y + 5*w, -11 = 4*y - y - 5*w. Let j = -1 + y. Suppose 0 = -j*p - p + 21. List the prime factors of p.
7
What are the prime factors of (-8)/(-44) - (2 + (-2016)/44)?
2, 11
Let b(i) = -i + 4. Let u be b(-3). Suppose -4*f = -u*f + 9. List the prime factors of f.
3
Let k(g) = 115*g**3 + 9*g**2 + 4*g + 7. Let a(m) = 57*m**3 + 4*m**2 + 2*m + 3. Let b(t) = -5*a(t) + 2*k(t). What are the prime factors of b(-1)?
2, 3
Let g be (-1561)/28 - (-6)/8. List the prime factors of 4/10 + (-638)/g.
2, 3
Suppose 4*d = 3*s - 342, -4*s + 5*d + 594 - 139 = 0. What are the prime factors of s?
2, 5, 11
Let p be (-158)/(-4) + 3/(-6). Suppose 3*i - 35 = -5*m, -4*i = 2*m - 3*m - p. Let k = 0 + i. List the prime factors of k.
2, 5
Let d(i) = i**3 + 4*i**2 - 2*i - 2. Let z be d(2). Suppose 5*g - 27 = -3*w - w, -2*w = 4*g - z. What are the prime factors of w?
3
Let z(w) = 14*w - 3. Let v(t) = 27*t - 5. Let m(g) = -6*v(g) + 11*z(g). List the prime factors of m(-2).
13
Let g(k) = 7*k - 2. Let c be g(1). Suppose c*f + x = 5*x + 109, 5*x + 110 = 5*f. List the prime factors of f.
3, 7
Let p(l) = -l**3 - 11*l**2 - 9*l. Let j be p(-10). Let n(b) = -b**2 - 10*b + 6. List the prime factors of n(j).
2, 3
Let p(f) = 6*f**3 - f**2 + f - 1. Let n be p(1). Let i(q) = 2 + 6*q**2 - 2*q - q - q**3 - q. What are the prime factors of i(n)?
7
Suppose -3*j = -3*l - 522, 5*j + l = -0*l + 852. List the prime factors of j.
3, 19
Let r = 8 - 4. Suppose r*a + 13 = 109. Suppose 4*q + 0*m - a = -m, -m - 32 = -4*q. List the prime factors of q.
7
Suppose 5*b + 4*o - 31 = 0, 3*o - 5*o = -5*b + 37. Suppose -b + 35 = 2*n. List the prime factors of n.
2, 7
Suppose 106 = q + f, q - 3*q = -f - 218. What are the prime factors of q?
2, 3
List the prime | {
"pile_set_name": "DM Mathematics"
} |
e h(-10)?
True
Let g = -4 - -14. Let o = g + -4. Suppose 144 = o*c - 2*c. Is c a multiple of 13?
False
Let p = 12 + -8. Let o = -92 + 208. Suppose -3*j - 41 = -5*v + 64, -p*j + o = 4*v. Is 5 a factor of v?
False
Let j(y) = 4*y**3 + 2*y**2 + 2*y + 2. Let s be j(3). Suppose s = -g - g. Let d = g - -125. Is d a multiple of 13?
False
Suppose -5*i + 5 + 20 = 5*w, w = 4*i. Let h be (-2 + 3)*(-12 - i). Does 9 divide (-4)/(1 + 15/h)?
False
Let q be 0*(-1)/(4 + -3). Let i(p) = -p - 1 + 10*p - 4 + q*p. Is 12 a factor of i(7)?
False
Let g be (-1562)/(-7) + 2/(-14). Suppose -g - 673 = -4*x. Does 43 divide x?
False
Let m(y) = y**2 - 6*y + 2. Let u be m(6). Let p(q) = 28*q**2 - 3*q - 4. Does 25 divide p(u)?
False
Suppose -5*q - 140 = -2*h, -218 = -3*h - q + 9. Does 5 divide h?
True
Suppose 0*y - y + 192 = 3*m, 5*y = -4*m + 245. Let n = -95 + m. Let r = -19 - n. Is r a multiple of 11?
True
Suppose -3*i - 7 = -4*l, 2*l - 4*l + i + 3 = 0. Suppose 0 = 11*w + 84 + 169. Let j = l - w. Is 6 a factor of j?
True
Suppose 6*s - 8*s + 364 = 0. Is s a multiple of 13?
True
Suppose -z + m - 8 = 0, 4 = -4*z - m - 3. Is 6 a factor of 42*(-4)/(-6) + z?
False
Let k = 2961 - 555. Is 69 a factor of k?
False
Suppose -2*c + 5*c - 1452 = 0. Let a be (-14)/35 + c/10. Suppose -2*l - a = -5*l. Is l a multiple of 9?
False
Let h(y) = -y**3 + 3*y**2 + 6*y - 4. Let m be ((-6)/3 - -4) + 2. Let f be h(m). Suppose d - f - 19 = -c, 5*c + 3*d - 113 = 0. Is c a multiple of 5?
False
Let n be 5 + -4 - (1 - 4). Let d = -6 + n. Let v(x) = 12*x**2 - 2*x - 1. Is 15 a factor of v(d)?
False
Let y = -90 + 242. Let p = y - 88. Is p a multiple of 26?
False
Let r be 2*(-2 - -1) + 7. Suppose -2*l = -3*c - 6, -15 = -4*l + 5*c - r. Suppose l = -g + 3 + 1. Is g a multiple of 3?
False
Suppose -261*g - 1017 = -262*g. Does 22 divide g?
False
Let j(q) = -q**3 + 7*q**2 + 12*q - 4. Suppose -9*w + 11*w = 16. Is 19 a factor of j(w)?
False
Suppose 0 = 5*b - 4*t - 1826, 13*b + 4*t - 346 = 12*b. Is b a multiple of 4?
False
Let s(v) = -v**3 + 12*v**2 + 2*v + 3. Let f be s(12). Suppose f*i - 280 = 23*i. Does 4 divide i?
False
Let c(z) = z**2 - 5*z + 6. Let o be c(4). Suppose -o*l + g + g - 28 = 0, g - 3 = 0. Let p = 23 + l. Is p a multiple of 2?
True
Is 20 a factor of (6 + 3080/11)/((-1)/(-2))?
False
Let w be (-3 - -2) + (8 - 5). Suppose 4*p = 0, -w*p = -2*y - y + 243. Does 10 divide y?
False
Suppose 5*a + 114 = 2*b, -2*a + 2*b - 9 = 33. Let s be 132/a*(-9 - -1). Suppose -h = h - s. Does 16 divide h?
False
Suppose -675 = -2*w + v, -2*v = -w - v + 336. Let y = w - 81. Is y a multiple of 43?
True
Suppose 0 = 3*k + 21 - 27. Let c = 5 - k. Suppose h - 3*h = -2, -c*n = -2*h - 13. Is 5 a factor of n?
True
Suppose -563 = -5*s + 1492. Does 24 divide s?
False
Is 73 a factor of ((-1314)/(-21))/(35/490)?
True
Suppose 0 = -3*a + 3*k + 3, 5*a = a - 4*k - 20. Let s = -13 - a. Let q = 48 + s. Is q a multiple of 11?
False
Let i(o) = 3*o**2 - 12*o + 23. Let g(p) = -5*p**2 + 18*p - 34. Let y(r) = 5*g(r) + 8*i(r). Is 7 a factor of y(-7)?
True
Let w(x) = 72*x + 207. Is w(23) a multiple of 12?
False
Let v be 1*5/(15/1053). Suppose 433 = 7*q - v. Is q a multiple of 24?
False
Let r be ((-21)/(-7))/3 + 2*2. Suppose r*q - 841 - 314 = 0. Is 11 a factor of q?
True
Let l(s) = 1 - 4*s + 0*s + 3 - 2*s. Is 5 a factor of l(-6)?
True
Let v(k) be the third derivative of k**4/24 - 5*k**3/6 + 6*k**2. Let q be v(5). Let t(g) = g**3 + g + 66. Is t(q) a multiple of 22?
True
Suppose -40*c + 3900 = -27*c. Does 6 divide c?
True
Suppose -9*n + 585 = -4*n. Suppose 10*c = c + n. Is c a multiple of 2?
False
Suppose i = 6*i - 20. Suppose -i*h - 2*h = 402. Let q = h - -122. Is 27 a factor of q?
False
Let v(t) = -47*t + 539. Is 15 a factor of v(0)?
False
Let j(f) be the third derivative of -f**4/12 - 2*f**3/3 - 4*f**2. Let n be j(4). Is (-7 - (2 + -5))*n a multiple of 16?
True
Let v(b) = b**3 + b + 8. Let u be v(0). Let o = u + -11. Does 23 divide 41 - (-3 - o - 0)?
False
Suppose -1233 + 441 = -9*w. Suppose -u + 463 = 5*c, -c - 11 = -5*u - w. Is c a multiple of 21?
False
Suppose 36 = -3*r + 6. Let u = 15 + r. Does 3 divide u?
False
Let v(o) = -3*o - 7 + o**2 + 5*o**2 + 0 + 5. Does 7 divide v(-2)?
True
Suppose 0 = -2*c - 190 - 102. Let x = 282 + c. Does 34 divide x?
True
Let t(a) = a**3 + 6*a**2 + 5*a. Let i be t(-6). Does 14 divide (-5)/i + (-166)/(-12)?
True
Let z(n) = -543*n**3 - n**2 - 4 + 561*n**3 - 1 + 4*n. Is z(2) a multiple of 11?
True
Let f = -45 + -10. Let y = -107 - f. Does 19 divide y*(0 + (-12)/8)?
False
Let y(a) = -a**3 + 13*a**2 + 8*a - 4. Let j be y(10). Suppose 0 = -o + 3*n + 113, -5*o + 229 = 5*n - j. Is 27 a factor of o?
False
Suppose 5*t - 41 = 139. Is t a multiple of 4?
True
Let g = -1120 - -1610. Does 7 divide g?
True
Suppose -k = -0*k - 4. Suppose -5*s + 5*a = -30, s + 6*a + 6 = k*a. Is 25 a factor of (-27*s)/(3 + -5)?
False
Let f be 1 + (-3 - -3) + 92. Let h = f - 52. Is h a multiple of 15?
False
Let o(d) = 15*d + 261. Is o(5) a multiple of 48?
True
Suppose -5*n + 6561 = 4*b - 7*b, 0 = -5*n - 4*b + 6582. Is 4 a factor of n/54 + (-2)/6?
True
Let r(b) = 5*b**2 + 162*b - 8. Is r(-37) a multiple of 2?
False
Let f(a) = -a + 4. Let t be f(2). Suppose 3 = t*l - 3*l. Is 16 a factor of 36*-4*1/l?
True
Let c = 306 - 108. Is 8 a factor of c?
False
Let h(t) = -3*t + 15. Suppose -y - 5*r - 5 - 3 = 0, -y + 4*r - 17 = 0. Does 19 divide h(y)?
False
Let o = -59 - -34. Let m = -23 - o. Suppose a + m*a = 156. Is a a multiple of 8?
False
Suppose 5*z + g = -611, 138 = -5*z - 5*g - 457. Let l = 133 + z. Does 5 divide l?
True
Let q(p) = 8*p**2 + 8*p + 3 + 3*p**2 - 10*p**2 + 14. Is q(-8) a multiple of 17?
True
Let n(j) = 2*j**3 - 11*j**2 - 24*j + 17. Is 10 a factor of n(10)?
False
Let t = 1036 + -452. Is 15 a factor of t?
False
Suppose 29*z - 13*z - 8528 = 0. Is 14 a factor of z?
False
Let j = 70 + -43. Suppose -v + j = -141. Is 14 a factor of v?
True
Suppose 3*k = 2*h + 3, 6*k = 3*k - 2*h + 15. Suppose 6*m + k = -3. Let r = m - -27. Is r a multiple of 6?
False
Let i = -159 - -160. Suppose -4 = 5*d + 6. Does 6 divide 19 + i - d/2?
False
Suppose -25*x = -74000 + 6500. Does 100 divide x?
True
Let k = 1494 - 1242. Is k a multiple of 3?
True
Suppose 3*l = 4*l - 304. Suppose -5*u + 31 + l = 0. Does 37 divide u?
False
Let y(k) = -48*k - 2. Let s be y(-1). Suppose 3*h + 2*c - s = 0, 0 = 3*h - 5*h + 3*c + 35. Does 4 divide h?
True
Let r be (2 - -1) + (13 - 11). Suppose 2*f - 5*c - r = -0*f, 0 = -5*f + c + 24. Suppose m - 5*h - 10 = -3*h, 0 = f*h. Is 10 a factor of m?
True
Let v = 30 - 27. Suppose 0 = v*u - 135 - 201. Does 28 divide u?
True
Let c be (3 + 1)*(-18)/8. Let z = 730 - 704. Let u = c + z. Does 17 divide u?
True
Does 77 divide 8/(16/21)*(-264)/(-4)?
True
Let c = -698 - -1367. Does 14 divide c?
False
Let r(w) = 4*w**2 - 4*w + 4. Let u be r(1). Suppose -u*y - y + 350 = 0. Is 10 a factor of y?
True
Let v be ((-1)/2)/(3/(-3738)). Suppose 498 = 4*h + y, -5*h = y - 0*y - v. Let w = -55 + h. Is w a multiple of 12?
False
Suppose 0 = 7*w + 402 + 1341. Does 29 divide -3 - (-3 + w)/3?
False
Suppose 12*c = 7*c - 20, 5*b + 3*c = 5108. Does 32 divide b?
True
Let q(r) = r**2 - 7*r + 10. Let h be q(8). Is 7 a factor of h/4*(-14)/(-3)?
True
Suppose 0 = -2*c + 3*x + 6, -4*x = -4*c + 7 + 1. Suppose 36 = -2*y - c*y. Let f = y - -36. Does 6 divide f?
True
Let b(s) = -19*s**3 + 2*s**2 + 2*s + 6. Let w = 81 + -83. Does 18 divide b(w)?
True
Suppose 4*h = -3*x + 97, 5*h - 7*x + 2*x - 130 = 0. Suppose 129 - h = 4*l. Is 3 a factor of l?
False
Suppose -4 + 14 = 2*t. Suppose -4*c - q + 4 = -5, -15 = t*q. Suppose c*v + 175 = 3*x + 37, 0 = -2*x + v + 91. Is 24 a factor of x?
False
Suppose z = -2*y - 3*z + 160, z + 135 = 2*y. Let m = y + -52. Does 2 divide m?
True
Suppose -4*z - 4 = -16. Suppose -46 = -3*w - 2*s, z*s = -2*w - 2*s + 27. Is w a multiple of 16?
True
Suppose -f = w - 5, -3*f - w = -4*f - 3. Suppose -10 = -2*m - 3*m. Is 9 a factor of (f - 11)/(m/(-4))?
False
Suppose 2*g = 36*g - 18598. Is 5 a factor of g?
False
Let o(p) = p + p**2 - 5*p**2 + 5*p**2 + 1. Is o(-3) a multiple of 6?
False
Let n(p) = 7*p**3 - 3*p**2 + 8*p - 12. Is n(3) a multiple of 26?
False
Suppose 4*s - 93 - 303 = 0. Suppose b - 4*b = -s. Is b a multiple of 6?
False
Suppose 73*c - 39864 = 49*c. Is c a multiple of 23?
Fa | {
"pile_set_name": "DM Mathematics"
} |
-4*h, h - 4*g + 4 = 0. Differentiate -25*d**h - 101 - 48 + 0 with respect to d.
-100*d**3
Suppose -12*o + 100 = -2*o. Let h be 164/o + (-6)/15. Differentiate 5 - 6 - 5 + h*l**4 with respect to l.
64*l**3
Let f(h) = h**3 + 33*h**2 - 36*h - 54. Let b be f(-34). Differentiate -155*s**2 + 76 - 158*s**2 + 315*s**2 - b*s with respect to s.
4*s - 14
Let p(j) = 5135*j**5 + 16*j**4 - 10368*j**2. Let s(v) = -1712*v**5 - 6*v**4 + 3456*v**2. Let f(w) = 3*p(w) + 8*s(w). What is the third derivative of f(u) wrt u?
102540*u**2
Let m be 2 - (3 - 20/8)*0. Suppose 4*i = -3*r + 191, -m*r - 2*r + 208 = -4*i. What is the derivative of 0*a + r + 2*a**3 + 0*a - 71 wrt a?
6*a**2
Let n(f) be the first derivative of 7436*f**5/5 - 2531*f - 3079. What is the derivative of n(j) wrt j?
29744*j**3
Find the third derivative of -122 - 2*d + 498 - 7001*d**3 - 130 - 127 - 121 + 568*d**2 wrt d.
-42006
Suppose 42*t - 329 + 77 = 0. Let i(j) be the third derivative of 0*j - t*j**2 + 3*j**3 + 0 + 41/24*j**4. What is the derivative of i(k) wrt k?
41
Let f = -384 - -466. What is the derivative of -13 - 10*o + 19 - 176*o + 69 + f wrt o?
-186
Suppose 2*d - 2 = -2*b, 0 = -4*d - d - 5. Let v = 99 - 50. Differentiate 3*h**2 + 13 - v - 10*h**b - 13*h**2 with respect to h.
-40*h
Find the first derivative of -531*w**2 - w - 1446*w**2 - 212*w**2 + 633 wrt w.
-4378*w - 1
Differentiate -2416 + 1292 + 1649*w**4 - 1761 wrt w.
6596*w**3
What is the second derivative of 3 - 32695*f + 36458*f + 1161*f**2 - 3 wrt f?
2322
Let u(b) = -29*b - 85. Let p be u(-3). Differentiate -10 - 42 - 303*k**p - 6 wrt k.
-606*k
Let q = -5275 + 10194. What is the first derivative of -4919*m**2 + 16*m**3 + 54 + q*m**2 wrt m?
48*m**2
Let c(u) = -4*u**3 + 24*u**2 + 92. Let a(v) = v**3 - v**2 - 2. Suppose -5*p + 35 = 2*p. Let s(r) = p*a(r) + c(r). What is the first derivative of s(d) wrt d?
3*d**2 + 38*d
Find the second derivative of 1325*s**5 - 2931*s**5 - 1783*s - 1831*s**5 + 230*s - 1491*s**5 wrt s.
-98560*s**3
Let o(a) = -17*a + 66. Let w be o(-13). Find the second derivative of -w*u**2 + 276*u**2 + 0 + 3 - 3*u wrt u.
-22
Let d(l) be the first derivative of 4790*l**3/3 + 4*l**2 - 488*l - 11478. Find the second derivative of d(v) wrt v.
9580
Let b(d) be the third derivative of -848*d**4/3 + 182*d**3 + 17*d**2 - 173. Differentiate b(j) wrt j.
-6784
Let f be (2 - 3 - -2)*2. Let l be (-4 - -2)/(-2) + f. What is the derivative of 13*w**3 - 19 - 3*w**l + 6 + 4*w**3 wrt w?
42*w**2
Suppose -130*f + 110*f = 0. Let j(u) be the second derivative of 0*u**3 + u + 0*u**4 + f + 6*u**2 + 3/5*u**5. Differentiate j(b) with respect to b.
36*b**2
Find the second derivative of -510*t**2 + 257*t**2 + 228*t**2 - 161*t wrt t.
-50
Differentiate 168*x + 461*x - 5855 + 103*x + 171 + 2765*x wrt x.
3497
Let l = -58 + 60. Let g(p) = -p**3 + 2*p**2 + p + 1. Let n be g(l). Differentiate -7*s**n + 46 - 10*s**3 - 44 with respect to s.
-51*s**2
Let n(k) be the second derivative of -4/3*k**7 + 0*k**3 + 80 + 0*k**5 - 59/12*k**4 + 0*k**2 + 0*k**6 + 2*k. Find the third derivative of n(c) wrt c.
-3360*c**2
Let r(g) be the third derivative of 2/3*g**6 + 1/3*g**3 + 0*g**5 - 48*g**2 + 0 - 35/12*g**4 + 0*g. What is the second derivative of r(n) wrt n?
480*n
Let i(r) = -2*r + 45. Let k be i(21). Differentiate 63*v - 11*v - 2 - k + v**3 - 10 wrt v.
3*v**2 + 52
What is the second derivative of -16*s**2 - s**5 - 142*s**2 - 58*s**5 + 61*s**5 - 889*s wrt s?
40*s**3 - 316
Let b be ((-48)/(-18))/(((-112)/24)/(-7)). Let k(i) be the first derivative of 0*i**2 - 3*i + 1/4*i**b - 11 + 0*i**3. Differentiate k(z) wrt z.
3*z**2
Suppose 0 = -6*u - 187 + 151. Let t(c) = -69*c + 107. Let f(r) = 205*r - 322. Let l(s) = u*f(s) - 19*t(s). What is the derivative of l(a) wrt a?
81
Let r(q) be the third derivative of 12*q**2 - 52/105*q**7 + 0*q**6 + 0*q**5 + 0*q**3 + 43/12*q**4 + 0*q + 0. Find the second derivative of r(h) wrt h.
-1248*h**2
Let l(y) = 3*y + 19. Let f be l(-5). Suppose -4 - f = -k. What is the derivative of -11 - 13 + k*d**3 + 6*d**3 wrt d?
42*d**2
Let p(z) = -1098*z**3 + 3*z**2 - 1337. Let i(h) = 2194*h**3 - 7*h**2 + 2672. Let g(a) = 3*i(a) + 7*p(a). What is the derivative of g(o) wrt o?
-3312*o**2
Let v(o) = -o**3 + 9*o**2 - 3. Let a be v(-3). Find the second derivative of -2*r**2 + 175*r - 35*r**5 + 113*r + r**2 - a*r - r**2 wrt r.
-700*r**3 - 4
Let z = -32 + 45. Let c be (2*6/(-18))/(6/(-243)). Find the second derivative of z*v**3 + c*v - 10*v - 13*v wrt v.
78*v
Let i(p) be the third derivative of -5*p**8/168 - 4*p**7/15 - p**6/60 + p**5/12 - 55*p**4/24 + 129*p**2. Find the third derivative of i(u) wrt u.
-600*u**2 - 1344*u - 12
Suppose -15*k + 65 = -2*k. Suppose k*j = 2*q + 67, 2*j = 2*q - 3 + 25. Find the second derivative of 20*i + 8*i + j*i**3 + 10*i**3 wrt i.
150*i
Let x be 4 + (-7 - -1) - -29. Let w = x + -23. Find the third derivative of -14*c**w - 4*c**2 + c**4 + 7*c**2 + 42*c**2 wrt c.
-312*c
Let s(b) = -1348*b**3 - 7100*b**2 - 36*b + 9. Let j(u) = 3*u**2 - 4*u + 1. Let o(r) = 9*j(r) - s(r). What is the third derivative of o(p) wrt p?
8088
Let r(x) = x**3 + 13*x**2 + 26*x - 9. Let b be 3*20*(-2)/(-12)*-1. Let w be r(b). Find the second derivative of -18*g - 8*g**3 - 9*g**3 + w*g wrt g.
-102*g
Let a be (-44)/(-10) + -1 + 14/(-35). Suppose a*r + 84 = 2*g, 2*r - 40 = -4*g + 96. What is the second derivative of 31*d - 40*d**3 + g*d - 34*d wrt d?
-240*d
Let m(u) be the first derivative of -1/2*u**2 + 0*u**4 - 8/5*u**5 + 0*u + 0*u**6 + 20/3*u**3 - 14 - 1/7*u**7. Find the third derivative of m(p) wrt p.
-120*p**3 - 192*p
What is the second derivative of -17*u**2 + 15 - 311*u**4 + u - 556*u**4 + 604*u**4 - 3*u wrt u?
-3156*u**2 - 34
Let n(i) be the third derivative of -4/3*i**3 + 0 + 0*i**6 - 56*i**2 - 1/20*i**5 + 0*i**4 + 0*i + 13/210*i**7. Differentiate n(h) with respect to h.
52*h**3 - 6*h
Suppose 0 = 71*d + 71*d - 284. Let p(b) be the first derivative of 0*b**4 + 3*b**3 - 14/5*b**5 + 0*b - 12 + 0*b**d. Find the third derivative of p(w) wrt w.
-336*w
Find the third derivative of 75*d**5 + 2*d + 2397*d**2 - 396*d**2 + 3451*d**2 + 2271*d**4 - 2273*d**4 + 30*d**5 + 1 wrt d.
6300*d**2 - 48*d
Let d(k) = 4*k**2 + 2*k - 11. Let g be d(8). Find the second derivative of 2*o - 11 + 242*o**4 - g*o**4 - 6*o wrt o.
-228*o**2
Let i(w) = -w**2 - 7*w - 6. Let q = 13 - 17. Let b be i(q). What is the third derivative of 33*r**3 - 33*r**3 - b*r**6 - 6*r**2 wrt r?
-720*r**3
Let p = -122 + 128. Find the third derivative of 156*b**6 + 150*b**6 + 77*b**2 - 332*b**p wrt b.
-3120*b**3
Let t = 240 - 139. Find the first derivative of -127 - 47*w + 59*w - 9*w + t*w wrt w.
104
Find the third derivative of -1849*l**2 - 2157*l**2 - 1111*l**2 - 1384*l**4 + 175*l**4 wrt l.
-29016*l
What is the third derivative of -83*r**6 - 185*r**2 + 2 - 2 - 180*r**6 + 3*r**3 wrt r?
-31560*r**3 + 18
Let u be 5/(-10)*9/(18/28). Let j = 67 + u. Find the first derivative of 25 - j*q**4 - q**3 + q**3 + 38*q**4 wrt q.
-88*q**3
Let u(x) be the second derivative of -11*x**4/3 + 32*x**3/3 - 4341*x**2 - 3599*x. Find the first derivative of u(y) wrt y.
-88*y + 64
Let b(g) be the first derivative of 7876*g**3/3 + 3622*g + 8606. Find the first derivative of b(z) wrt z.
15752*z
Suppose 5*o = -n + 20, -2*n - 1 = 3*o - 13. What is the derivative of -94*a**4 + 6 - o + 29 wrt a?
-376*a**3
What is the derivative of 5853*t**3 - 212344051*t**2 + 212344051*t**2 + 6111 wrt t?
17559*t**2
What is the third derivative of -129*l**3 + 374*l**3 - 5 + 58*l**2 + 275*l**3 + 26*l**2 wrt l?
3120
Let y(b) be the first derivative of -112/3*b**3 + 0*b**2 - 8/3*b**6 - 49 - 2/5*b**5 + 0*b**4 + 0*b. Find the third derivative of y(f) wrt f.
-960*f**2 - 48*f
Let w = 18 - 36. Let p = 25 + w. What is the derivative of -p - 1 + 7 - 2*m**4 wrt m?
-8*m**3
What is the third derivative of 257*c**4 + 206*c**4 - 384*c**4 + 4*c**3 + 236*c**4 - 727*c**2 wrt c?
7560*c + 24
Let o(b) be the third derivative of -409*b**9/56 + b**5/60 - 161*b**4/3 - b**2 - 72*b - 7. Find the third derivative of o(x) wrt x.
-441720*x**3
Differentiate -17755 + 17655 + 6*u**3 - 938*u**3 wrt u.
-2796*u**2
Let t(u) be the first derivative of -19*u**6/10 + 21*u**4/4 + 18*u - 69. Let x(a) be the first derivative of t(a). What is the third derivative of x(l) wrt l?
-1368*l
Let a(w) be t | {
"pile_set_name": "DM Mathematics"
} |
/13
75/20*4/(-30)
-1/2
What is (2780/(-126) + 22)*9/6?
-2/21
What is the value of (-112 + -19 + 97)*(-1)/(-2)?
-17
2/(-21) - 3944/(-17850)*-5
-6/5
(0 - -1)/((-15)/9)*180/(-648)
1/6
Calculate (-5)/1 - -3*(-228)/(-133).
1/7
Calculate (3 - 6)/((-74)/222).
9
Evaluate (693/14)/(-11) + (-23 - -20).
-15/2
What is 158730/(-5850) + (-4)/(-30)?
-27
Calculate -3*(-5*12/90 + 1 + 4).
-13
What is (-2061)/14427 + 67/(-21) + 0?
-10/3
Evaluate (-4)/(-14) - ((-185)/(-35) + (-12)/(-4)).
-8
Evaluate (-3)/18*1*(-988)/(-741).
-2/9
Calculate 120/660 - (-32)/(-55).
-2/5
Evaluate ((-10)/7 + 2)/(20460/14322).
2/5
Evaluate 1 + (4 - 13) + 374/(8 + 9).
14
What is the value of (-1)/(-4)*(-124 - 6)/5*-2?
13
What is ((-243)/36)/(-6 - 792/(-128))?
-36
Evaluate (-675)/(-45) + (3 - 9) - 39.
-30
What is (1548/(-2150))/((-12)/200)?
12
What is -11 + (-6 - 6) + 3/1 + 2?
-18
Evaluate -11 + (-9)/(297/(-308)).
-5/3
-2 + (-48)/(-56)*(-14)/3
-6
Evaluate 11*-3*(5170/(-165))/47.
22
What is the value of 15/(2760/(-1219)) + 6?
-5/8
Evaluate (3/207)/((-95)/(-570)).
2/23
What is (-693)/231 + (2/12)/((-6)/(-124))?
4/9
What is (-88)/(-198)*-10 - (-4)/9?
-4
Calculate (30510/(-2712))/(5/(-12)).
27
What is the value of 11/(-12)*4*-1*3?
11
What is the value of (3 - 32) + 23 + 122/31 + 2?
-2/31
Evaluate (-3)/(-180)*202 - 2035/555.
-3/10
What is the value of -3 - (882/135)/(-2)?
4/15
What is the value of (-5)/(-4)*(-486)/(-1620)?
3/8
Calculate 7/98 - 990/3276.
-3/13
What is the value of (-4 + (-435)/(-75))*-1?
-9/5
Evaluate (-95 - -92)*10/6.
-5
((-3)/(18/(-21)) - 5)*16/88
-3/11
What is the value of ((-1)/(2/(-4)))/(-44 - -49)?
2/5
Calculate 76/2 + 300/(-12).
13
What is the value of (-146)/9 - (-172)/774?
-16
130 + -147 + (9/(-3))/((-3)/4)
-13
Evaluate (-208)/4576 - 1323/(-66).
20
What is 366/(-60) + (-13)/(-130)?
-6
Calculate 41/((-19680)/(-3328)) + (-1 - 32/(-30)).
7
Calculate ((-315)/75)/((-2)/(-10))*(-4)/(-6).
-14
Calculate ((-60)/(-75))/((-88)/(-110)).
1
What is the value of ((-14)/(-42))/(18830/(-1344) + 14)?
-32
17 - 0 - (6 + 4)
7
What is the value of ((-26)/104)/(((-4)/48)/(-1))?
-3
What is the value of -18 + 27 - 15 - 0/1?
-6
Evaluate 390/104 + -13 - (-18)/8.
-7
Calculate ((-4)/(-7) - (-16)/56)/(18/9).
3/7
Evaluate (-81)/(-6) + ((-132)/(-8))/(-33).
13
2 + ((-550)/(-20))/11
9/2
What is 2 - (6/(-39) + (-4 - (-201)/39))?
1
(3/(-63))/((-21)/126)
2/7
Calculate ((-13)/143)/((-56)/154).
1/4
What is the value of 48/20*6/4 + -3 + 2?
13/5
What is the value of ((-30)/(-153))/(48/216) + -1?
-2/17
What is 34/1 + 19 - 44?
9
(392/35)/7*(-170)/(-306)
8/9
Calculate ((-74400)/1581 - -47)*(-4)/(2 + 0).
2/17
(-7 + 8 - 172/(-20)) + 4/10
10
What is (-2)/(-3)*41531/4886?
17/3
What is the value of 2/4*(5 + -19)?
-7
What is (-12*(-11)/396)/((-17)/(-357))?
7
(-24)/4 + ((-3)/(-5))/(31/155)
-3
What is the value of (-34 - 3234/(-99))/((-188)/6)?
2/47
What is ((-170)/1020)/(-1 - ((-8)/(-12) + -1))?
1/4
What is 0 + (1320/1056)/((-2)/24)?
-15
What is (1 - 6)/(-665)*(-26 + 900/40)?
-1/38
What is the value of (-10)/(9 - 2 - 6)?
-10
What is the value of 532/152 + ((-122)/72)/(1/2)?
1/9
Evaluate ((-12)/(-14))/((-414)/(-69)).
1/7
Calculate (-32)/168*30/20.
-2/7
What is the value of (-24)/9 + 65/26?
-1/6
Calculate ((-80)/(-200) - 618/45)*3/2.
-20
Calculate 31/105 - (-342)/2565.
3/7
Calculate (34 + 1136/(-32))*22.
-33
Evaluate (-123)/(-533) + (-168)/(-117).
5/3
What is the value of 4/(-135)*(85/68)/((-15)/(-18))?
-2/45
Evaluate (0 + -3 + -3)*(6 - 208/24).
16
((-841)/29)/29 - (3 - 12)*-3
-28
What is the value of (-2)/(-10) - (636/(-60) + 11)?
-1/5
((-16)/1)/(-4) - (24 + 6 - 27)
1
Evaluate 2/6*(-4 + -38 - -39).
-1
What is 1683/264 - ((-3 + -1)/2 + 8)?
3/8
Calculate (9 + -7)/((-28)/(-476)).
34
What is (584/(-48) + 12)*0 - 17?
-17
(-319)/22 + 14 + 0
-1/2
What is (4/6 - -2)/(20 - 1778/84)?
-16/7
What is ((-234)/(-42))/((450/400)/((-42)/(-8)))?
26
2827/1285 - 43/15
-2/3
((-237)/3634)/(3/4) - 67/23
-3
What is the value of 3*(5916/840 + -7)/(27/15)?
1/14
What is (264/(-36))/((-20)/(-30))?
-11
What is (2 - 2) + -1 + (-703)/222 + 4?
-1/6
Evaluate ((-1)/((-20)/(-16)))/(6/(-60)*22).
4/11
What is the value of 1/((-221)/(-6838)) + -31?
-1/17
What is (-170)/(-10) + -16 + (21/(-11))/3?
4/11
Calculate ((-224)/1120)/(3/21).
-7/5
Calculate (-2*(2 + 0))/((-36)/(-54)).
-6
-1 + 18 + 5808/(-336)
-2/7
Evaluate (9/15)/(-82 - -83).
3/5
(6 - (-1818)/(-198)) + 3
-2/11
Calculate ((0 - -8) + (2 - (-352)/(-55)))/3.
6/5
Calculate 32 - (-396)/(-5 + -13).
10
Calculate 1/(-9) - (-4)/(-72)*(-664 - 4).
37
12/(-486) - 332/(-324)
1
What is the value of 16 - -24*16/(-96)?
12
What is 3/12 + ((-108)/8 - -16)?
11/4
What is the value of (190/(-20) - -2)*(192/(-30) + 8)?
-12
2573/747 - (-12)/(-27)
3
What is the value of (52/(-91) + 10/(-7))*(-22)/308?
1/7
What is (-9)/27*39 - (-12 + 21)?
-22
Evaluate 12 - 51 - (-63)/3.
-18
What is the value of 11/(-990)*-12*4/(24/81)?
9/5
Calculate 4/(-46) + 164*(-5)/6440.
-3/14
Calculate (5/(-3))/(-5) + -1.
-2/3
What is the value of -2 - -1 - (-105)/168?
-3/8
Calculate 3 + 876/(-48) + 17.
7/4
What is the value of ((-38)/76)/(((-1)/(-3))/((-12)/(-5)))?
-18/5
Calculate (-52)/12 - -3 - ((-1680)/(-18))/(-10).
8
What is the value of (1/(-14))/((-54)/756)?
1
Evaluate 2171/(-835) - 51/15.
-6
Evaluate 75/250 - ((-7432)/(-1840) + -4).
6/23
What is the value of 11882/5941 + (8/(-10))/(8/(-100))?
12
Evaluate (-64)/(-2464)*-33 + 94/126.
-1/9
(5520/132)/(-10) + 6/33
-4
Evaluate 0 - ((-296)/(-255) - (-52)/1326).
-6/5
Evaluate (24/(-6))/((-76)/(-8) + 80/(-10)).
-8/3
What is (36/(-33))/((-5238)/2134)?
4/9
42/(-70)*65/104
-3/8
What is the value of (1 + ((-12)/2)/2)*(-14)/252?
1/9
What is the value of 3 - ((-290)/522)/((-1)/(-3))?
14/3
Evaluate ((-7)/((-504)/(-4)))/((-68)/153).
1/8
(-1881)/660 + 104/32
2/5
What is the value of (-9)/12 - (20/(-168))/((-106)/(-1855))?
4/3
Calculate (-33)/44*(-12)/(-162).
-1/18
What is -3*(-204)/72*(0 - 2)?
-17
Calculate 477/(-1749) + 2/(-11)*-51.
9
What is -6 + 321/15 - 15?
2/5
What is the value of 3904/(-352) - -14 - (1 + (0 - -1))?
10/11
Evaluate 3*((-4040)/160 + 25).
-3/4
Evaluate (-49 + 48)*(-2)/(20/28 - 1).
-7
What is the value of ((-1)/(-5))/((-4)/700*-5) - -4?
11
Evaluate (-4)/(-128)*12 - 1164/32.
-36
((-4)/(432/45) - -2) + 3/(-12)
4/3
Evaluate (20/14)/((81/(-756))/(3/(-72))).
5/9
What is -37 + 25 + 17 + (8 - 13)?
0
Evaluate (-168)/(-4992) - (-2)/13.
3/16
What is (-6)/(-16) - (32 + (-930)/80)?
-20
What is (-4500)/100*(24/10 + -3)?
27
Calculate (25 - 4248/168) + (-248)/14.
-18
((-324)/24 + 14)*10 - 31*1
-26
What is -446*(2 + ((-3642)/732 - -3)) - -11?
2/61
Calculate ((-8366)/(-445))/(-94)*((-1)/(-3) + -1).
2/15
Calculate (6/(-44))/((-16 + 15)/(2/6)).
1/22
Evaluate 13/5 + (25 - (-4788)/(-175)).
6/25
Calculate (-87 - -90)/(6/10).
5
Evaluate (-16 + (-2922)/(-183))*1.
-2/61
Evaluate (99/54*-2)/(68/12 + -6).
11
What is the value of (6 + (-1 - -6))*(-1 - (-2)/1)?
11
What is -1*16 - (1518 + -1551)?
17
(15 - (-1323)/(-90))/(12/20)
1/2
What is 144/30 + 40/(-50) + -4?
0
-6 - (-4 + (-3 - (-17 - -8)))
-8
(21 - -119*(-32)/168) + (-53)/(-12)
11/4
Calculate (-33720)/(-1160) - (-48)/(-696).
29
Calculate 25/1*((-2198)/105 - -21).
5/3
Calculate ((-448)/(-1232))/((-54)/(-33)).
2/9
Evaluate (95 + 23018/(-238))/(1 - 33/35).
-30
Calculate ((10/(-35))/((-5)/21))/((-84)/560).
-8
(12/(-10) + 0)/((308/80)/(-77))
24
What is the value of 583/231 + -6 + (0 - 2/(-14))?
-10/3
Calculate 10/(-180)*(-9)/2.
1/4
Calculate (-1 + 2)*27/((-567)/(-231)).
11
What is the value of (7 - 595/84)*1?
-1/12
4/(-60) + 1582/(-1470)*-14
15
Evaluate 4 - (-5)/2*((-96)/7)/12.
8/7
What is the value of ((-15)/(-6))/5*-12?
-6
(-208)/(-130) - (-440)/100
6
(-4)/(1*-2) + -494 + 467 - -8
-17
What is the value of (-242)/42 - (-3)/(-12)*(-320)/(-140)?
-19/3
What is 1197/2470 - 39/(-338)?
3/5
Evaluate 1*(-4 - -2) + (-559)/52 + 12.
-3/4
What is ((-2)/(-14))/(-14 + 540/40)?
-2/7
What is the value of 8 - 20 - 7 - 26235/(-1375)?
2/25
9/(36/56)*288/(-192)
-21
What is the value of (138/230)/((0 - -4)/(-2) + 3)?
3/5
Evaluate ((-61)/5 - -14)/(6/(-20)).
-6
(-65)/(-26) - (-184)/(-16)
-9
Evaluate 544/140 - 3 - (88/(-20) + 5).
2/7
Calculate ((-445)/3560)/((-2)/(-40)).
-5/2
Evaluate ((-56)/6)/((-1974)/846).
4
Calculate -25*((-462)/70)/11.
15
What is (50/(-5) - -7)*(7/(-3) - 0)?
7
What is (1 | {
"pile_set_name": "DM Mathematics"
} |
thout replacement from {s: 5, h: 7}.
35/66
What is prob of picking 1 c and 1 a when two letters picked without replacement from {n: 1, k: 1, l: 3, c: 7, a: 4}?
7/30
Calculate prob of picking 1 z, 1 d, and 2 b when four letters picked without replacement from nnzdbdbzd.
1/21
Four letters picked without replacement from kkkxkxxxxxkxxx. Give prob of picking 4 k.
5/1001
What is prob of picking 1 e, 1 x, and 1 q when three letters picked without replacement from vixvqev?
1/35
Two letters picked without replacement from jcpphpphrp. What is prob of picking 2 p?
2/9
Two letters picked without replacement from {t: 6, h: 2}. What is prob of picking 2 t?
15/28
What is prob of picking 1 g and 1 p when two letters picked without replacement from {g: 2, x: 1, q: 13, p: 3}?
2/57
Four letters picked without replacement from lpkpklplkpkllllk. Give prob of picking 1 p and 3 k.
2/91
Three letters picked without replacement from {u: 1, v: 1, s: 7, k: 2, o: 2, j: 1}. What is prob of picking 3 s?
5/52
What is prob of picking 2 c and 2 q when four letters picked without replacement from qqqqccch?
9/35
What is prob of picking 1 c and 1 e when two letters picked without replacement from {m: 5, c: 3, e: 2}?
2/15
Three letters picked without replacement from rjqqojqjqdj. What is prob of picking 1 d, 1 r, and 1 j?
4/165
Calculate prob of picking 1 s and 1 k when two letters picked without replacement from settfkcks.
1/9
Two letters picked without replacement from nissni. Give prob of picking 2 n.
1/15
Two letters picked without replacement from {k: 1, e: 3, s: 2, u: 2, l: 8, q: 4}. What is prob of picking 1 q and 1 e?
6/95
What is prob of picking 3 s and 1 a when four letters picked without replacement from ssssssaaasss?
28/55
What is prob of picking 1 j and 1 r when two letters picked without replacement from {t: 1, r: 6, j: 4}?
24/55
Calculate prob of picking 1 s and 1 l when two letters picked without replacement from sslslsss.
3/7
Calculate prob of picking 1 f and 1 a when two letters picked without replacement from tafaattt.
3/28
What is prob of picking 1 n and 2 l when three letters picked without replacement from lwzyluzzyynww?
1/286
What is prob of picking 2 b when two letters picked without replacement from bbwbwbbwbbbbbwbbwb?
26/51
Calculate prob of picking 1 y, 2 e, and 1 a when four letters picked without replacement from {e: 4, a: 3, o: 1, y: 4, w: 1}.
72/715
Calculate prob of picking 1 g, 1 a, and 1 d when three letters picked without replacement from ggldaolooo.
1/60
Calculate prob of picking 3 o and 1 m when four letters picked without replacement from {m: 3, o: 3, r: 1}.
3/35
Calculate prob of picking 2 q when two letters picked without replacement from qqqq.
1
Calculate prob of picking 3 p and 1 w when four letters picked without replacement from rpwwwppgppwpppwwrpw.
49/323
Two letters picked without replacement from {f: 3, y: 12, q: 2}. What is prob of picking 1 y and 1 f?
9/34
What is prob of picking 3 k and 1 t when four letters picked without replacement from kpkkkktkvkkkp?
84/715
Calculate prob of picking 1 i and 2 u when three letters picked without replacement from urubrruuuurirurzr.
21/680
Three letters picked without replacement from {m: 7, u: 5}. Give prob of picking 1 m and 2 u.
7/22
Three letters picked without replacement from hhyyyyyyyy. Give prob of picking 1 y and 2 h.
1/15
Four letters picked without replacement from {u: 3, j: 2, b: 3, k: 10}. What is prob of picking 1 b and 3 k?
2/17
What is prob of picking 1 d and 3 f when four letters picked without replacement from {d: 3, f: 8}?
28/55
What is prob of picking 2 b and 1 r when three letters picked without replacement from {i: 1, q: 1, b: 2, r: 2}?
1/10
What is prob of picking 1 e and 1 k when two letters picked without replacement from {s: 8, k: 1, u: 1, g: 2, e: 6, w: 2}?
3/95
Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {p: 17, j: 1}.
1/9
Calculate prob of picking 1 l and 1 r when two letters picked without replacement from strxrxrssvtltrrxslxx.
1/19
What is prob of picking 1 u and 1 p when two letters picked without replacement from ppuppupppp?
16/45
What is prob of picking 3 h when three letters picked without replacement from {h: 17, y: 2}?
40/57
Three letters picked without replacement from ananana. Give prob of picking 1 n and 2 a.
18/35
Calculate prob of picking 1 b and 1 i when two letters picked without replacement from tdiidiidstsibd.
5/91
Three letters picked without replacement from {z: 1, k: 1, p: 1, m: 1, j: 1}. Give prob of picking 1 p, 1 z, and 1 k.
1/10
What is prob of picking 2 c and 1 r when three letters picked without replacement from {c: 2, r: 1, b: 1, u: 1}?
1/10
Four letters picked without replacement from oaaiwilwoalaowiowlo. What is prob of picking 2 i, 1 a, and 1 w?
4/323
What is prob of picking 1 h and 1 b when two letters picked without replacement from {g: 1, b: 1, i: 1, d: 1, h: 2, f: 1}?
2/21
Two letters picked without replacement from {d: 5, h: 3, z: 1, e: 1, c: 3, v: 1}. Give prob of picking 1 h and 1 z.
3/91
Three letters picked without replacement from lmkkkhlqkmqkkkfflkkm. What is prob of picking 1 l and 2 k?
9/95
What is prob of picking 3 u when three letters picked without replacement from kkguggugkkkuuuuu?
1/16
Calculate prob of picking 4 h when four letters picked without replacement from {p: 1, x: 1, h: 7, v: 6}.
1/39
What is prob of picking 2 g when two letters picked without replacement from {e: 3, s: 2, g: 7, r: 7}?
7/57
Two letters picked without replacement from rve. Give prob of picking 2 r.
0
What is prob of picking 1 k and 1 q when two letters picked without replacement from qqqqkqqkqkkqqqqqkkq?
26/57
What is prob of picking 1 f and 1 j when two letters picked without replacement from {p: 1, f: 1, d: 1, h: 1, j: 1}?
1/10
Four letters picked without replacement from fzwfzwwf. What is prob of picking 1 f and 3 w?
3/70
Two letters picked without replacement from eigeblbl. Give prob of picking 1 e and 1 g.
1/14
Three letters picked without replacement from ckkdfkcddkdkkkkdkkk. Give prob of picking 1 k and 2 c.
11/969
Three letters picked without replacement from {k: 2, u: 9, r: 8}. What is prob of picking 3 r?
56/969
Two letters picked without replacement from csssfgasshs. What is prob of picking 1 h and 1 a?
1/55
Three letters picked without replacement from wjmmwbmmd. What is prob of picking 2 m and 1 d?
1/14
Calculate prob of picking 1 r, 2 k, and 1 l when four letters picked without replacement from {k: 5, l: 5, b: 1, r: 7}.
35/306
What is prob of picking 2 x when two letters picked without replacement from xxxv?
1/2
Three letters picked without replacement from dssdssssssddds. What is prob of picking 2 s and 1 d?
45/91
Two letters picked without replacement from {q: 1, b: 8, t: 3, h: 5, w: 3}. What is prob of picking 1 h and 1 q?
1/38
What is prob of picking 3 s when three letters picked without replacement from {w: 2, s: 1, k: 1, y: 2}?
0
Calculate prob of picking 1 c, 1 t, 1 a, and 1 j when four letters picked without replacement from ackjaajjjacjatjcjaj.
12/323
What is prob of picking 1 q, 1 u, 1 x, and 1 s when four letters picked without replacement from {q: 4, l: 2, u: 2, x: 1, s: 2, e: 3}?
16/1001
What is prob of picking 3 j when three letters picked without replacement from jjjjjj?
1
Three letters picked without replacement from uqssqupsns. What is prob of picking 1 q and 2 u?
1/60
Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, y: 1}.
1/2
Calculate prob of picking 3 l when three letters picked without replacement from {l: 17, y: 3}.
34/57
Four letters picked without replacement from hhhbqnhjqnhuhbjh. What is prob of picking 1 n and 3 h?
1/26
Calculate prob of picking 1 k, 2 a, and 1 z when four letters picked without replacement from {b: 6, a: 4, k: 2, i: 3, z: 3}.
1/85
Two letters picked without replacement from {u: 2, i: 1, g: 1}. What is prob of picking 1 u and 1 i?
1/3
Two letters picked without replacement from ubsds. Give prob of picking 1 b and 1 s.
1/5
Calculate prob of picking 1 e, 1 h, and 2 l when four letters picked without replacement from ljkhjlllhdkdhke.
6/455
Four letters picked without replacement from aaassssgsas. Give prob | {
"pile_set_name": "DM Mathematics"
} |
rest 1000000?
4000000
Suppose -3*h - o + 24 = 0, 3*h - 3*o = -h + 19. Let f be h/(-14) - (-20800002)/4. What is f rounded to the nearest 1000000?
5000000
Let v = -33.49999723 + 33.5. Round v to six dps.
0.000003
Suppose -4*r - 7482 = -2*q, -3743 = 2*r - 12*q + 9*q. What is r rounded to the nearest 100?
-1900
Let d = -0.0522 + 348.0522. Let k = 348.00000985 - d. What is k rounded to six decimal places?
0.00001
Suppose -2*z + 22 = -20. Let h(q) = -q**3 - 6*q**2 + 4*q + 6. Let s be h(-6). Let k = z + s. Round k to the nearest ten.
0
Suppose 3*j - 1113724 - 1884282 = -4*b, 5*b = 5*j + 3747490. What is b rounded to the nearest one hundred thousand?
700000
Suppose 9*a - 34 - 38 = 0. Let x(h) = -12*h + 10. Let t be x(a). Round t to the nearest ten.
-90
Suppose 6397591 - 2452585 = -5*x + 2*f, 2*x + 1577994 = -2*f. What is x rounded to the nearest one hundred thousand?
-800000
Let w = -7.5 + 7.521. Let p = w - 0.02100038. Round p to 7 dps.
-0.0000004
Let b = -1109.00001112 + 1109. What is b rounded to 6 decimal places?
-0.000011
Let t = 72290274 - 72290268.0000006. Let h = 5.965 - -0.035. Let k = h - t. Round k to six dps.
0.000001
Let b = 1588.47561 + -0.17561. Let t = b - 1508. What is t rounded to the nearest ten?
80
Let y = -49.1432 + -0.0368. What is y rounded to zero dps?
-49
Let n be (-8)/2 + 4 + 7806. Suppose -3*k + 70803 = -3*x + n, 5*k - 105003 = -3*x. Round k to the nearest 1000.
21000
Let y = 19791 - 11782. Let p = 7791 + y. What is p rounded to the nearest one thousand?
16000
Let s = 142 + -7. Let l = s - 135.117. Round l to 2 decimal places.
-0.12
Suppose -5*p = -0*p - 10. Suppose -k + 948 = -5*k - 2*j, 0 = p*k + 3*j + 466. Round k to the nearest ten.
-240
Let h = 24108 + -24096.979. Let k = -68 + 79. Let d = h - k. What is d rounded to three dps?
0.021
Suppose 0 = 4*o + 6 + 2, 10 = 3*u - 5*o. Suppose 2*i = u, 0*z + 6000000 = -3*z + 2*i. Round z to the nearest 100000.
-2000000
Let h = -26.969 + -0.291. Let i = -21.3 + -5.7. Let f = h - i. What is f rounded to one dp?
-0.3
Let v = -147.35 - 148.2. Let s = -302 - v. Let i = s + -0.65. What is i rounded to the nearest integer?
-7
Let q be 24/(-16)*(1585 - -3). Round q to the nearest one hundred.
-2400
Let w = 0.04 + -0.0496. Let l = w - -0.019. What is l rounded to three decimal places?
0.009
Let a = 4 - -71. Let q = a - 136. Let s = q + 60.9921. Round s to 3 dps.
-0.008
Let u(c) = 0*c - 250 - 4038 + 47388 + 2*c. Let m be u(0). Round m to the nearest one thousand.
43000
Let t be 87 - (9/(9/2) + 3). Let o(w) = w**3 + 7*w**2 + 5*w - 6. Let u be o(-6). Suppose -3*h + t - 403 = u. Round h to the nearest ten.
-110
Suppose -3*v - 1 = 2. Let u be (-11)/(-2*v/(-998)). Let p = 21289 - u. What is p rounded to the nearest 1000?
16000
Let o = 13123 + 5892. Suppose v - 5*u = -o, 5*v - 4*u + 31111 = -63901. What is v rounded to the nearest one hundred thousand?
0
Let g(i) = -i**3 - 8*i**2 - i - 7. Let r be g(-8). Let p be r - (9/1)/(-3). Suppose 0 = -0*f + 2*f - p*q - 1736, -5*f - 5*q = -4280. Round f to the nearest 100.
900
Let g = -120473390 + 48273390. What is g rounded to the nearest one million?
-72000000
Let s = -22.700000418 + 22.7. Round s to seven dps.
-0.0000004
Let w = -503 + 503.0099. Round w to 4 decimal places.
0.0099
Let u be (-41366)/52*4/(-2). What is u rounded to the nearest one hundred?
1600
Let d = -982 - -981.9306. Round d to 3 dps.
-0.069
Suppose -3362 = -11*u + 2468. Round u to the nearest 1000.
1000
Let v = -344 - -347.19. What is v rounded to one decimal place?
3.2
Let p(x) = 19*x + 2. Let q be p(1). Let y = -19 + q. Suppose 0 = -0*z + z - 2*a + 60, y*z = 5*a - 120. Round z to the nearest 100.
-100
Let y = 12 + -10. Suppose y*b + 3*b = 24252160. Suppose -3*w + 2349568 = -b. Round w to the nearest 1000000.
2000000
Let p = 5.4 - 0.7. Let v = -4.6673 + p. What is v rounded to two dps?
0.03
Let h = 151203366.01104772 + -151203390. Let i = h + 22.888953. Let z = i - -1.1. What is z rounded to seven decimal places?
0.0000007
Let x(b) = -b**2 - 3*b. Let s be x(-1). Suppose 2*m - 2*i = 72, 0*m - s*i = -4*m + 138. Round m to the nearest ten.
30
Let w = 20 + -26.8. Let z = w - -6.79966. What is z rounded to four dps?
-0.0003
Let k = 76.176 - 0.176. Let s = k - 75.836. Round s to two decimal places.
0.16
Let y = -0.298 + 0.527. Let z = y - 0.22899829. Round z to 7 decimal places.
0.0000017
Let w = -18.6059 + 18.46. Round w to two dps.
-0.15
Let w(l) = -2*l + 5. Let g be w(5). Let j be 30007*1 + (g - -1). Suppose 5*m + 17985 = 3*i - 6*i, -5*i + m = j. What is i rounded to the nearest one thousand?
-6000
Let r(u) = u**2 + 50. Let m be r(0). Let f = -75 + m. Let c = f + -4. Round c to the nearest 10.
-30
Let n = -144.3775 + 0.0775. Let s = 171.8 - 20.8. Let w = s + n. Round w to 0 decimal places.
7
Suppose -28 = 2*b + 2. Let w be 4 + (b/5 - -6199999). Round w to the nearest 1000000.
6000000
Let x = -357.77 - 116.33. Round x to the nearest 10.
-470
Let u = 23322.986 + -23303. Let j = -20 + u. Let t = -0.1 - j. What is t rounded to 2 decimal places?
-0.09
Let r = -160.8 - -180. Let d = -19 + r. Let k = 2.6 + d. Round k to 0 dps.
3
Let v = -52 - -181. Let s = -128.9999983 + v. Round s to seven dps.
0.0000017
Let z = -154.5 - -262.2. What is z rounded to the nearest ten?
110
Let g = 1.749999973 + -1.75. What is g rounded to 7 dps?
0
Let q(v) = -3875001*v**2 - 10*v - 16. Let a be q(-2). What is a rounded to the nearest 1000000?
-16000000
Let j = 228.452 + 0.548. Let w = -228.9999753 + j. What is w rounded to six dps?
0.000025
Let x = 232 - 232.0027. What is x rounded to 3 dps?
-0.003
Suppose v - 5 = -0. Suppose 3*u = 2*w - u + 6, 5*w = -v*u - 15. Let p(x) = -8*x - 4. Let l be p(w). Round l to the nearest ten.
20
Let h = 14 + -13.9999434. Round h to 6 decimal places.
0.000057
Let a be (-4)/(5/(-5) - -3). Let s(p) = -12050001*p - 2. Let q be s(a). Round q to the nearest one million.
24000000
Suppose 3*n = 3*u + 19089, -6*n + 10*n - 25416 = -5*u. Round n to the nearest one thousand.
6000
Let w = -9.5 - 28.5. Let v = -38.00064 - w. What is v rounded to four dps?
-0.0006
Let s = 97.3207 - 0.0207. Let l = s + -103. What is l rounded to zero dps?
-6
Let k = -1295.499 - -1289. Round k to 1 dp.
-6.5
Let i = 423.9 + -53.9. Let g = -386.7 + i. Let m = 12 + g. Round m to 0 dps.
-5
Suppose 5*g = 9*g - 20. Suppose -3*v - 12249997 = 5*p, 2*v - 12250001 = g*p + v. Round p to the nearest one hundred thousand.
-2500000
Let c = 14686247.3904622 + -14686259.3. Let i = 19.0904615 - c. Let g = 31 - i. Round g to 6 dps.
0.000001
Let q = 274 + -348.5. What is q rounded to the nearest ten?
-70
Let g = -26176 + 6493. Let i = 19692.1306 + g. Let d = i - 9.1. What is d rounded to three dps?
0.031
Let z = -13480.97 - -13265. Let l = -215 - z. What is l rounded to one decimal place?
1
Let m = -34112 - -7714. Let u = -8098 - m. Round u to the nearest one thousand.
18000
Let x = -0.12249059 - 0.09651456. Let q = 0.219 + x. Round q to 7 dps.
-0.0000052
Let k = 767.2005 - 817.2. Let d = k + 50. Round d to four dps.
0.0005
Let r = 360 - 302.4. Let w = r - 14.1. Round w to 0 decimal places.
44
Let s = 0.3918 - 0.39182183. What is s rounded to 6 decimal places?
-0.000022
Suppose -2054 = -31*k - 12067. What is k rounded to the nearest one hundred?
-300
Let m = -0.1818 + 0.3549. Let n = -11.5 + 11.33. Let s = m + n. Round s to three dps.
0.003
Let r = -2796 + 3151.9. Round r to the nearest one hundred.
400
Let k = -144.3059 - 0.0941. Round k to the nearest 10.
-140
Let w = -7.82 - 0.18. Let o = -70937.9942 + 70930. Let x = o - w. Round x to 3 dps.
0.006
Suppose 24 = -7*t + 3*t. Let s(y) = 15*y - 10. Let f be s(t). Round f to the nearest 1000.
0
Let p(n) be the third derivative of -n**5/60 + n**4/3 - n**3 + 10*n**2. Let h be p(6). Let i be (-6115)/55 + h/33. What is i rounded to the nearest 10?
-110
Let x be (-7 - -9) + 3862004/(-2) + 0. Round x to the nearest 100000.
-1900000
Let p = -9.39999314 + 9.4. Round p to six decimal places.
0.000007
Suppose -5*h = -1021369 - 1452131. What is h rounded to the nearest 100000?
500000
Let p = -176 - -176.03584. What is p rounded to three decimal places?
0.036
Let u be 3/(-4)*(-13216)/126*90. Suppose m = -2*p + u, -1039 = -p + 3*m + 2501. What is p rounded to the nearest 100?
3500
Suppose -10*q | {
"pile_set_name": "DM Mathematics"
} |
first derivative of -11*o**3/3 - 39. Let s(j) = -13*j**2. What is z(s(b))?
-1859*b**4
Let o(x) = 32*x + 63. Let h(z) = 14*z**2 - 6*z. What is o(h(q))?
448*q**2 - 192*q + 63
Let f(c) = -7*c + 5*c + 2*c + 4*c. Let y(b) = -27 - 24 + 11*b**2 + 51. Determine f(y(u)).
44*u**2
Let n(v) = 72803*v. Let u(l) = l. Determine n(u(o)).
72803*o
Let k(v) = -v**2. Let l(i) = 18558*i**2. What is l(k(f))?
18558*f**4
Let n(a) = -105*a. Let g(b) = 10 + 108*b**2 - 10 - 106*b**2. Determine g(n(f)).
22050*f**2
Let q(c) = -5*c**2. Let w(z) = z. Suppose 0 = -d + 2*v + 2*v + 15, -d - 4*v - 25 = 0. Let n(b) = 2*b. Let u(m) = d*w(m) + 2*n(m). What is u(q(h))?
5*h**2
Let z(q) be the third derivative of q**4/8 - q**3/2 + 9*q**2. Let n(b) = 6*b - 5. Let x(m) = 3*n(m) - 5*z(m). Let v(o) = -3*o + 2 - 2. What is x(v(c))?
-9*c
Let z(p) = -52*p. Let g(i) be the second derivative of 3*i**4/4 + 5*i**3/6 + 32*i. Let k(a) = 13*a**2 + 7*a. Let y(l) = -7*g(l) + 5*k(l). What is z(y(x))?
-104*x**2
Let s(d) be the second derivative of -d**3/6 + 3*d**2/2 - d - 1. Let a(w) = -4*w + 11. Let o(u) = -6*a(u) + 22*s(u). Let t(z) = -3 + 3 - 8*z. Determine o(t(i)).
-16*i
Let x(w) = -2694*w**2 - 24*w. Let s(r) = -4*r. Determine x(s(y)).
-43104*y**2 + 96*y
Let y(k) be the third derivative of 5*k**4/8 - k**2. Let s(u) be the third derivative of -u**4/12 - 51*u**2 + 2. Calculate y(s(w)).
-30*w
Let g(o) = 84426*o. Let m(n) = 4*n. What is g(m(d))?
337704*d
Let w(u) = -17*u. Let z(k) = -1743*k**2. Give w(z(c)).
29631*c**2
Let h(d) = 4*d - 17. Let x(a) = -46*a**2 + 2*a**2 + 32*a**2 + 6*a**2. Give x(h(o)).
-96*o**2 + 816*o - 1734
Suppose 2*i = 2*n + 2*n - 52, 0 = -2*n - i + 30. Let b(j) = -n - j + 14. Let l(o) = -7*o**2 + 3. Let q(r) = 1. Let p(c) = 2*l(c) - 6*q(c). Calculate b(p(a)).
14*a**2
Let r(m) = 12*m + 32*m - 42*m. Let s(d) = 247*d**2. Calculate s(r(f)).
988*f**2
Let n(c) = -2*c**2. Suppose -8*q - 8 = -10*q. Suppose -q*w + 13 = -7. Let p(r) = w*r - 2*r - 4*r + 3*r. Determine n(p(y)).
-8*y**2
Let i(s) = 17*s**2 + s. Let g(a) = -28*a + 1. Give g(i(d)).
-476*d**2 - 28*d + 1
Let t(z) = 22*z**2 - 8*z - 9. Let o(w) = -11*w**2 + 4*w + 4. Let a(b) = -9*o(b) - 4*t(b). Let q(c) = 6*c. Determine q(a(l)).
66*l**2 - 24*l
Let r(m) = 81*m. Let j(g) be the first derivative of -g**2/2 + 41. Calculate j(r(s)).
-81*s
Let h(n) = -2*n**2. Suppose 0*o - 60 = -5*o. Let m(b) = 319 + 2*b - o*b - 319. Calculate m(h(q)).
20*q**2
Let o(n) = -4*n**2 - 3*n. Suppose -4*b - 1 = 3*t - 22, 4*b = t + 9. Let l(z) = 9*z**2 + 7*z. Let v(r) = b*l(r) + 7*o(r). Let a(f) = 26*f**2 + 1. Give a(v(c)).
26*c**4 + 1
Let k(o) = -1787*o**2. Let w(t) = 78*t**2. What is k(w(y))?
-10872108*y**4
Let p(o) be the first derivative of 3*o**2 - 4*o + 3. Let k(x) = -7*x + 5. Let b(d) = -4*k(d) - 5*p(d). Let h(u) = -25*u + 3*u**2 + 25*u. Determine b(h(w)).
-6*w**2
Let l(m) = 0*m**2 + m**2 + m**2 - 3*m**2. Let n(s) = 5*s**2 - 2*s**2 + 3*s**2 - 5*s**2. Give l(n(o)).
-o**4
Let l be (2 + 44/(-12))*(-12)/10. Let j(k) be the second derivative of 1/12*k**4 + 5*k + 0*k**3 + 0*k**l + 0. Let y(v) = v. Determine j(y(b)).
b**2
Suppose -3*l + 10 = 2*l. Let t(j) = l*j - 4*j + j - 6*j. Let p(w) = 2*w**2 - w**2 + 0*w**2. Calculate p(t(g)).
49*g**2
Let d(b) = -7*b - 2*b + 11*b - 3*b. Let p(v) = 5*v - 4*v - 4*v. What is p(d(n))?
3*n
Let k(n) = -12*n. Let f(i) = -4*i + 10. Let t(r) = 5*r - 12. Let h(c) = 6*f(c) + 5*t(c). What is k(h(b))?
-12*b
Let r(u) = u + 12. Let x(y) = -3*y**2 + 52. Give x(r(j)).
-3*j**2 - 72*j - 380
Let p(f) be the second derivative of f**4/3 + 5*f. Let v(r) be the third derivative of 4*r**2 + 0*r + 1/12*r**4 + 0*r**3 + 0. What is v(p(j))?
8*j**2
Let l(o) = -2*o**2 + 7*o - 3. Let c be l(4). Let t = 10 + c. Let x(v) = t*v**2 + v**2 - v**2. Let y(h) = 4*h. Give x(y(k)).
48*k**2
Suppose -2*q - 6 = -3*q + 4*g, 2*g = q - 4. Let h(n) = -5*n**2 - q*n**2 + 6*n**2. Let i(s) = -s**2. What is i(h(k))?
-k**4
Let t(u) = 2*u**2 + 2. Let w(a) = -6*a**2 + 6. Let f(v) = 6*t(v) - 2*w(v). Let i(y) = 2*y**2. Determine i(f(m)).
1152*m**4
Let m(n) = -9*n**2. Let w(f) = -29*f - 4. Let c(d) = -117*d - 18. Let g(b) = 2*c(b) - 9*w(b). Calculate g(m(z)).
-243*z**2
Let v(y) = -1355*y**2 + 0 + 1352*y**2 + 0. Suppose 5*h + 4*d = 14, 4*d + 2 = 2*h + h. Let g(k) = 4 - 4 - h*k**2. Determine v(g(b)).
-12*b**4
Let i(j) = -16*j**2. Let z(h) = -61*h**2 - 9*h - 108. Let m(b) = 15*b**2 + 2*b + 24. Let g(l) = 9*m(l) + 2*z(l). Calculate g(i(t)).
3328*t**4
Let w(q) be the third derivative of 0 - 1/24*q**4 + 0*q + 0*q**3 - q**2. Let y(d) = -2*d - 2*d + 9*d. Give y(w(v)).
-5*v
Let j(y) = y. Let z(p) be the third derivative of -5*p**4/6 + 6*p**2 + p. Give z(j(w)).
-20*w
Let w(o) = -49*o. Let h(n) be the second derivative of 2*n**3/3 + 67*n. Give w(h(p)).
-196*p
Let g(n) = -1555*n + 3. Let q(b) = -b**2. Determine q(g(p)).
-2418025*p**2 + 9330*p - 9
Suppose 0 = 3*c - 0*c - 6. Let n(u) = -c*u + 5*u - u. Let s(z) be the first derivative of 5*z**2/2 + 11. What is s(n(h))?
10*h
Let c(t) = 6*t. Let n(j) = -37*j. Let q(l) = -39*c(l) - 6*n(l). Let p(i) be the first derivative of -i**3/3 + 164. What is p(q(k))?
-144*k**2
Let j(r) = 7*r - r - 9*r - 7*r + 8*r. Let w(h) = -11*h + 8*h - 34*h. What is j(w(p))?
74*p
Let y(j) = 2*j**2 + 9*j - 3. Let z(a) = -7*a**2 - 33*a + 11. Let g(n) = 22*y(n) + 6*z(n). Let w(x) = 3*x + 1. Determine g(w(s)).
18*s**2 + 12*s + 2
Let j(g) = g**2 - 706. Let c(z) = 178*z. Determine j(c(t)).
31684*t**2 - 706
Let r(n) = -2*n. Let f(z) be the second derivative of -z**3/6 - z. Let x = -73 + 85. Let h(o) = 2*o. Let t(g) = x*f(g) + 5*h(g). Determine t(r(u)).
4*u
Let b(o) = 12*o. Let w(z) = 37*z + 19. What is w(b(f))?
444*f + 19
Let j(r) be the third derivative of r**4/24 + 11*r**2. Let p(q) = 2*q**2 + 17*q. Determine j(p(m)).
2*m**2 + 17*m
Let h(d) = -3*d**2. Let n(w) be the first derivative of 26*w**3/3 + 17. Determine h(n(i)).
-2028*i**4
Let b(k) = -9123*k - k**2 + 9123*k. Let w(y) = -4*y - 3 + 3. Determine w(b(j)).
4*j**2
Let j(o) = -2*o**2. Let q(g) = -g**2 - g - 3. Let b(l) = -30*l**2 - 11*l - 33. Let k(x) = 4*b(x) - 44*q(x). Determine k(j(d)).
-304*d**4
Let a(l) = -26279*l**2. Let z(k) = -11*k**2. What is a(z(o))?
-3179759*o**4
Let m(n) = 47*n**2 + 7. Let d(j) = -j**2. Determine d(m(z)).
-2209*z**4 - 658*z**2 - 49
Let l(h) = 3*h. Let u(n) be the first derivative of 0*n - 1/3*n**3 + 1 + 0*n**2. Give l(u(j)).
-3*j**2
Let q(p) be the first derivative of -p**6/60 + p**3 + 7. Let f(t) be the third derivative of q(t). Let a(l) = 4*l. Determine f(a(x)).
-96*x**2
Let b(w) = -45*w. Let m(c) be the first derivative of -c**3 - 426. Give b(m(x)).
135*x**2
Let y(v) = -165*v - 450. Let h(s) = 15*s + 40. Let r(g) = 45*h(g) + 4*y(g). Let m(n) = n**2. Give m(r(t)).
225*t**2
Let q(w) = -18*w**2. Let m(r) = -2282*r**2. Give q(m(y)).
-93735432*y**4
Let f(h) = 2*h - 3*h - h + 0*h. Let c(r) = -49*r + 9 - 9 + 24*r. Calculate f(c(w)).
50*w
Let l(q) = 3*q. Let t(m) = -140570*m. Calculate l(t(u)).
-421710*u
Suppose 2*u + 4 = -2*r, 2*r + 11 - 4 = -3*u. Let s = u - -8. Let c(k) = 4*k + 0*k - s*k + 2*k. Let i(t) = -15*t**2. Determine c(i(a)).
-15*a**2
Let o(j) = 228*j. Let y(k) = -263*k**2. Determine y(o(v)).
-13671792*v**2
Let t(h) = 35*h**2 + 20*h - 20. Let d(s) = -5*s**2 - 3*s + 3. Let y = -64 - -44. Let p(j) = y*d(j) - 3*t(j). Let o(x) = -x - 3*x**2 + x. Give o(p(f)).
-75*f**4
Let i(s) = 5*s - 11. Let a(w) = 2*w - 4. Let v(b) = -11*a(b) + 4*i(b). Let p(u) be the third derivative of -17*u**5/60 + u**2 + 1576*u. Give v(p(m)).
34*m**2
Let k(z) be the second derivative of -5*z**3/3 - z**2/2 - 490*z. Let t(w) = 4*w**2. Determine k(t(a)).
-40*a**2 - 1
Let n(o) = o**2 + 36*o. Let z(q) be the first derivative of q**3/3 - 69. Calculate z(n(u)).
u**4 + 72*u**3 + 1296*u**2
Let c(w) = 2*w**2 + 5*w. Let t(q) = q**2 + 2*q. Let r(k) = 2*c(k) - 5*t(k). Let u(j) = -10*j**2 - 4*j. Determine r(u(l)).
-100*l**4 - 80*l**3 - 16*l**2
Let n(j) be the third derivative of j**7/280 - 2*j**4/3 - 14*j**2. Let x(b) be the second derivative of n(b). Let f(o) = 3*o**2. What is f(x(c))?
243*c**4
Let b(a) be the second derivative of -a**6/120 - 13*a**3/6 + 7*a. Let w(h) be the second derivative of b(h). Let f(o) = 2*o. What is w(f(i))?
-12*i**2
Suppose -6*y - 38 = -50. Let l(b) = -11942 - 2*b**y + 11942. Let d(n) = -5*n. Give l(d(v)).
- | {
"pile_set_name": "DM Mathematics"
} |
0259 not equal to f?
True
Let r = -17 - -12. Let g = 21 - 18. Let t be g + -6 + (-46)/(-14). Is t greater than r?
True
Let y = 28321/7655 - -1/3062. Let k(i) = 10*i + 44. Let t be k(-4). Which is smaller: y or t?
y
Let v be 30/(-14)*(-2)/18. Let f be (-1)/5*(-532 - -532). Which is greater: f or v?
v
Suppose 4*k = -4*b + 4 + 4, -2*k - 20 = -4*b. Let c = 8.19 + -0.19. Let l = c - 11. Is l less than k?
True
Let v be -1 - -3*2*(-545)/(-10). Let u = v - 326. Which is smaller: u or -2/117?
-2/117
Suppose 159*x = 156*x - 3*t + 1539, -3*t - 991 = -2*x. Is 492 less than or equal to x?
True
Suppose -75*m = -60*m - 113190. Let u = 324457/43 - m. Is u greater than or equal to 0?
False
Let k be -6 + -4 - (-48 + -801). Which is smaller: k or 840?
k
Let n(f) = 17*f**2 + 504*f + 318. Let j be n(-29). Let u = 157397/7 - 22399. Let b = u + -4225/49. Which is bigger: j or b?
b
Let z = 7989 - 12138. Are z and -4147 non-equal?
True
Suppose -2*f + 253 = -3*m, 3*f = 10*m - 142 + 494. Which is smaller: f or -14?
-14
Let q = -2/779 + 33509/4674. Let g = 79/11 - q. Suppose -8*i = 37 - 29. Which is greater: i or g?
g
Let l = -14989.4 - -15019. Which is greater: l or 0.49?
l
Suppose 150 = 3*j + 2*j. Let z = 326508 + -326506. Is j > z?
True
Let n = -201/4 - -50. Let s be (-76750)/1000 + (-2)/8. Is s equal to n?
False
Suppose 12 = 4*w, 0*y - 5*w = -5*y - 10. Let i be 2 - (-56)/(-20) - 9/(-5). Let q be 1/(-4)*i/(-27)*-8. Which is smaller: y or q?
q
Suppose 8*x - 3*f + 3899 = 0, f + 316 - 1291 = 2*x. Suppose 4*g - 5*d = -1957, -3*g + 0*d = -d + 1465. Is g <= x?
True
Let l be 47627/(-388) - -2*(-6)/(-16). Let d = -131 - l. Is -9 equal to d?
True
Let v = 351 + -203. Suppose -5*n = p + p + v, 5*n = -3*p - 152. Let d = 13.95 + -14.95. Is n at least d?
False
Suppose 5*p = 2*p - 16*p - 3515. Is -172 greater than p?
True
Let v be 18/63 - 8*6/21. Let p be (18 + -6)*(-1)/v. Let z be ((-31)/(-2))/1*(8 - p). Is z not equal to 30?
True
Suppose -z = 3*q + 6, -6*z + z = -q - 2. Are -13/85 and z equal?
False
Let x be (10 + 441/(-45))/((-9154)/575). Are x and 0 equal?
False
Let v = 5828 + -5382. Which is bigger: v or 893/2?
893/2
Let u(m) = -6*m + 16. Let c be u(2). Let k be (c/3 - 2) + (-322)/(-420). Are 3 and k equal?
False
Let y = -1434 + 1434.17. Let w = 37 + -82. Let n be (-10)/w - 2/(-72). Are y and n non-equal?
True
Let v(m) = -4*m**3 - 138*m**2 + 69*m - 33. Let g be v(-35). Which is bigger: g or 94/83?
g
Let r be 3 + (-5)/((-225)/8995). Let m = r + -12044/63. Is 11 at most as big as m?
True
Let j(q) = 114*q + 1938. Let c be j(-17). Which is smaller: c or 248?
c
Suppose -2*d - 2*c = -8730, 27*c = -2*d + 24*c + 8731. Which is bigger: d or 4365?
4365
Let z(l) = -3*l**3 - 38*l**2 - 21*l + 52. Let h be z(-12). Which is smaller: 402/25 or h?
h
Suppose 2*v = 2*j - 16, -v + 12 = 3*j + 2*v. Suppose 11*z = j*z - 215. Let p = -466/11 - z. Does p = 0?
False
Let g = -22 + 17. Let h be 178*g/910 - (-2 - -1). Let o = 7 + -6. Is o equal to h?
False
Suppose 4*f + f - 30 = 0. Let b = -0.11 - 0.25. Let s = -0.04 + b. Which is smaller: s or f?
s
Suppose 5*n - 40 = n + 5*w, 5*n - 2*w = 33. Suppose n*p = -2*m + 11, 14 = 2*p + 4*m - 0. Let g = 62009/237 - 785/3. Is g >= p?
False
Let c = -85 - -43. Suppose -51*a = -10323 + 10170. Let t be (a/(-30))/((-3)/c). Is -2 at least as big as t?
False
Suppose -j - 443 = 5*h, 16*h = -5*j + 14*h - 2192. Let i = 1364/3 + j. Is 16 smaller than i?
True
Let c = -231671/71 - -3263. Is c < 0?
False
Let m(o) = -533*o - 23096. Let y be m(-43). Suppose 4*h - 13 + 711 = -2*i, -5*i - 170 = h. Which is smaller: y or h?
y
Suppose 30*k = 30, 22*z + 24 = 25*z - 3*k. Is 331/34 less than or equal to z?
False
Let i be 24/(-60)*(1 + -191). Let f(v) = 2*v**3 - 129*v**2 - 54*v - 645. Let r be f(65). Which is smaller: r or i?
r
Let y(s) = -s**2 + 7*s + 12. Let l be y(9). Let t be 5/(1 - (-8)/l). Let z be -1 + (-7 + 0)*2. Is z at least as big as t?
True
Let m = -0.96 + 1. Let g be (0/3 - 0)/((-7)/(-21)*-3). Is g at most as big as m?
True
Let i be (0 + (-1)/(-1))*1. Let a = -46.56 - -46. Let r = 0.44 - a. Is r at most as big as i?
True
Let k be (-4)/(-16)*2*2. Let q be (30/(-2))/(-3) + -1 - k. Suppose -2*n - 31 = q*n - z, -3*n = z + 17. Is -10 less than n?
True
Let t = 23.93 + -23. Let h = 1.799 - 1.799. Which is bigger: t or h?
t
Let w be (18/(-72))/(277/(-108)). Which is bigger: w or -1?
w
Let l = 329194/68774769 - 10771641699971/1986215328720. Let u = l - 11/17328. Let x = -62/15 - u. Is x not equal to 2?
True
Let k = -13457 + 53817/4. Let n be (-2)/((1 + 0)/(-3)). Let m be (3/(-6))/(1/n). Which is smaller: m or k?
m
Let v = -21 - -15. Let b(o) = -o**3 - 6*o**2 - 8*o - 6. Let f be b(v). Let r = f + 54. Is 95 at least as big as r?
False
Let z = -2.032 + -0.118. Let h = z + 118.15. Let r = -116 + h. Which is smaller: r or -28?
-28
Let k(p) = 19*p + 212. Let c be k(-11). Suppose 4*v - 7*n = -9*n + 116, -c*v + 4*n + 87 = 0. Which is greater: 30 or v?
30
Let k = 78 - -60. Let u = -3750 + 3889. Are k and u unequal?
True
Let c be 4/(-22) - (-3038)/(-1078). Let j be 4 + -1 - c/(48/(-44)). Which is bigger: j or 555/4?
555/4
Let v(t) be the first derivative of 671*t**2/2 + t - 17. Let m be v(1). Let i = m + -7402/11. Is i at least -1?
True
Suppose -2*r + 164 = 5*a, 0 = 12*r - 14*r + 4. Suppose 4154 = g - a*g. Is g greater than -134?
False
Let l = -7622.59 + 7623. Do l and 218 have different values?
True
Let x = -15.67 + 15.67. Let f = -15881/18 - -882. Which is smaller: x or f?
f
Let m be 40/(-75)*66/(-22). Which is bigger: -4 or m?
m
Let n(s) = -46*s**3 - s**2 - s + 1. Let u be n(1). Let x = -60 - u. Let f = 2234/7 + -11597/35. Which is smaller: x or f?
x
Let n be 2/(-10) + 188331/(-2145). Is n <= -72?
True
Let d(h) = 4*h**2 - 33*h - 142. Let w be d(13). Is 107 greater than w?
True
Let h be 3/15 + 2468/10. Let t = 244 - h. Do -2/27 and t have the same value?
False
Suppose -2*m - 27 = m. Let k be 4/(-3) + 2 + 2/m. Suppose 5*o - 92 + 96 = -4*u, -2*o = -u - 1. Are k and u nonequal?
True
Suppose 5*m - 2*o - 544 = -1664, -5*o = 5*m + 1155. Let s = 1128/5 + m. Is s smaller than 1.9?
True
Let l = -104 + 105. Is l != 499?
True
Let o = -1632 + 1709. Which is bigger: -1/4 or o?
o
Let k = -21361 + 22071. Do 711 and k have the same value?
False
Let z(i) = -i**2 + i + 4. Let t be z(3). Let p = 17572/3 + -5885. Is p smaller than t?
True
Let l = 26 + -32. Let d be 1*l/(6/1). Is 5/41 greater than or equal to d?
True
Suppose -d + z - 4 = 17, -5*z = 4*d + 102. Let o(p) = -12*p - 8. Let q be o(-1). Is q greater than d?
True
Let i = 2.16 - 0.16. Let h = -652 - -651.94. Which is smaller: h or i?
h
Let a = -23121 - -577882/25. Is -6 at most as big as a?
True
Let y = -7.76 + 482.76. Let n = 521.1 - y. Let v = n - 46. Is v bigger than -1/7?
True
Suppose -5*m - 143 = -z + 186, z = -5*m - 331. Let o be (m - -28)/(4/6). Which is smaller: -113/2 or o?
o
Suppose -18*u + 22*u - 4 = 0. Let m be (5 - 9) + (1 - ((-2910)/(-63))/(-10)). Do u and m have different values?
True
Let u = 8247 - 22192. Is u equal to -13946?
False
Suppose 3*q + 1015 = 78*q - 1085. Which is greater: q or 98?
98
Let w(z) = 2*z**2 - 3*z - 63. Let m be w(-5). Let g be (-1)/(m/(-39))*1980/(-135). Do -287 and g have the same value?
False
Let f = -13229.955 - -13202. Let m = 186 - 185.955. Let j = m - f. Which is bigger: -2 or j?
j
Let m(w) = w**3 + 40*w**2 + 9*w - 163. Let x be m(-43). Which is smaller: -6096 or x?
x
Suppose -2*m - 74 = -4*r + r, -37 = m - 2*r. Let a = -42 - m. Let c be (a - -6)/(3/(-3)). Which is smaller: c or -8/9?
c
Let c(y) = 15*y**2 - 11*y + 21. Let x be c(-7). Let g be (1/x)/(2/(-6)). Is g greater than 1?
False
Let i be (-8620)/2150 - (-7 + 3). Let o(n) = 3*n**2 + 10*n + 8. Let l be o(-1). Which is smaller: i or l?
i
Let u be 88 + (7/(-7))/((-5)/(-20)). Suppose -97*m - 11492 = -u*m. Which is smaller: -883 or m?
m
Let k = 0.17 - -175.83. Let d = 175 - k. Which is smaller: -0.224 or d?
d
Let v(n) = -338*n - 720. Let z be v(-6). Is z at most as big as 1310?
True
Suppose 0 = 3*i - 5*z + 12, -5*z = -2*i - 34 + 16. Suppose 2 + 2 = 2*c. Suppose 1 = 3*s - 2*k - 13, 2*s - 8 = c*k. Is s equal to i?
True
Suppose f = 6*f - 5. Let r(m) = -16*m**3 + 6*m**2 + 5*m + 3. Let x be r(-3). Let z be (-44)/11 + x/120. Which is bigger: z or f?
f
Suppose 0 = | {
"pile_set_name": "DM Mathematics"
} |
c(s) = 11*a(s) - 6*n(s). Calculate c(4).
0
Let i(w) = 3*w**2 - 31*w - 34. Let p(f) = -2*f**2 + 21*f + 23. Let x(q) = 5*i(q) + 7*p(q). Let u(o) = -110*o - 101. Let y be u(-1). Calculate x(y).
0
Let r(l) be the third derivative of l**6/360 + 7*l**5/120 - l**4/8 - 2*l**3 - l**2. Let i(c) be the first derivative of r(c). Give i(-6).
-9
Let r(b) = 3*b**2 - 158*b - 57. Let g be r(53). Let f(k) = -10*k - 35. Determine f(g).
5
Let f(x) = -x + 9. Let v(n) be the first derivative of -2*n**3/3 - 13*n**2/2 + 11*n - 50. Let o be v(-7). Give f(o).
5
Let h be -2 - 160/(-6) - (-2)/6. Let v(m) = m**3 + h - 34 + 25. Calculate v(0).
16
Let a(l) be the third derivative of -l**6/120 + l**5/15 - l**4/8 - l**3/3 - 5*l**2. Let i(b) = -b - 4*b + 4*b. Let t be i(-3). Calculate a(t).
-2
Let j(z) = -z**2 + 6*z. Let w be j(5). Let l(g) be the first derivative of g**3/6 + 3*g**2/2 - 34*g - 2. Let d(h) be the first derivative of l(h). Give d(w).
8
Let l(d) = -d + 11. Suppose -11*q = 72 + 38. Determine l(q).
21
Let c(b) = b**2 + 4*b - 3. Let p = 53 - 53. Suppose k + 1 = p, 2*q + 13 - 5 = -2*k. Calculate c(q).
-6
Suppose 0 = 23*h + 8 + 1 - 9. Let t(p) be the first derivative of p**3/3 - p**2/2 - p + 1. Calculate t(h).
-1
Suppose -3*y + 10 = 2*y + h, -y + 2 = 5*h. Let r be ((-6)/(-1))/y + 0. Suppose 0 = -r*z + 8*z - 20. Let d(a) = -a - 2. Determine d(z).
-6
Let j(c) be the second derivative of -c**5/20 + c**4/6 - 3*c**2/2 - c. Let q(o) = 2*o**2 - 20*o + 51. Let k be q(6). Determine j(k).
-12
Let s(l) be the third derivative of l**7/5040 + 7*l**6/720 - l**5/3 - 9*l**2. Let r(i) be the third derivative of s(i). What is r(7)?
14
Let l(z) = -3*z**3 - 2*z**2 + 1. Let r(c) = -3*c**3 + 24*c**2 - 10*c + 81. Let d be r(8). Determine l(d).
-4
Let q = -1342 - -1349. Let d(k) = 9*k - 66. Determine d(q).
-3
Let n(a) = -a + 9. Let y be 518/35 + 2 + 14/(-5). Calculate n(y).
-5
Let l(w) = -2 + 2*w - 8 - 4. Let v be 2/((-55)/(-25) - 2). Calculate l(v).
6
Let m(q) = 12*q - 23. Let w(c) = 10*c - 21. Let h(f) = -6*m(f) + 7*w(f). Determine h(7).
-23
Suppose 510 = 5*t + 75. Let h = t - 83. Let a(z) = -z**3 + 5*z**2 - 3*z - 5. Determine a(h).
-1
Suppose -4*c + 35 = 3*g, 2*c - 3 = -3*g + 22. Suppose -y - 19 = 3*u - c, 2*u = -6. Let b(w) = -w**2 - 7*w - 3. Determine b(y).
7
Let m(v) = -4*v**2 + 3*v. Let o(c) = 3*c**2 - 4*c + 3. Let g be o(1). Suppose -6*t = -5*t - g. Determine m(t).
-10
Let h be -3 + 6 + 1 + -1. Let x be 4/(h - -1) + 1. Let b(t) = -5*t**2 + x*t**2 - 2*t**2 + t**3 - 8*t + 4 + 3. Give b(6).
-5
Let j(a) = -5*a - 46. Let d be j(-11). Let y(v) = -v + 12. Give y(d).
3
Let l(c) = 15*c - 7. Let x(b) = 42*b - 20. Let r(k) = -17*l(k) + 6*x(k). Give r(-5).
14
Let h(x) be the third derivative of -x**6/24 + x**5/20 - x**4/8 - 5*x**2 - 4*x. What is h(2)?
-34
Suppose 5*l = -x + 10, 3*x + 2*x + 2 = l. Let a(p) = 11*p - 3*p**l + 3*p - 4*p - 10 + 2*p**2. What is a(8)?
6
Let k(y) = 10 - 6 + 5*y - y - 2*y - 3*y. Let o = 12 - 9. What is k(o)?
1
Suppose -5*d + 14 = -21. Suppose -5*j + d*j = 726. Let b(g) = j + 0*g - 361 - g. Calculate b(0).
2
Suppose 5*d = 10, 4*k = 3*d - 0*d + 2. Suppose 5*a - 4*b - 21 = 0, -25 = -4*a + k*b - 7*b. Let f be (3 + (-17)/a)*15. Let u(z) = z**2 + 5*z - 5. Give u(f).
1
Let p(i) = i - 9. Suppose 0*x - 4*x + 253 = -b, 5*x - 312 = -3*b. Let n be 8/12*x/6. Give p(n).
-2
Let d be (-2)/3*18/(-12). Let g be (-4 + 3)*(d - -2). Let n(h) = 3 + 2*h**2 + 5*h - h**2 + h**2. What is n(g)?
6
Let x(i) = -i**3 + 7*i**2 - i - 3. Let r(y) = -y**3 + 3*y**2 + 18*y + 7. Let w be r(6). Determine x(w).
-10
Let j(u) = 7*u + 40*u**2 + 5 - 4*u**2 - 10*u**2 - 9*u**2 - 16*u**2. Give j(-9).
23
Let u(f) be the third derivative of 7*f**5/60 - 7*f**4/24 - 3*f**3 + 6*f**2. Let h(b) = -3*b**2 + 4*b + 9. Let c(j) = 5*h(j) + 2*u(j). Calculate c(7).
2
Let t(y) = 3*y**2 - 2*y + 1. Suppose 3*c + v - 6*v - 3 = 0, 3*v = 3*c - 3. Give t(c).
2
Let v(w) = -3 + 80*w - 82*w + 5 + 1. Determine v(-7).
17
Suppose 7*j + 11 + 10 = 0. Let o(a) = -2 + 1 - 3*a + 2 + 4*a. Calculate o(j).
-2
Let b(t) be the first derivative of -3*t**2 + 2*t + 555. Calculate b(-4).
26
Let d(z) = z**2 - 9*z + 19. Let n be d(2). Let o(j) = -j + 2. What is o(n)?
-3
Let g(p) = 5*p**2 + 2*p - 2. Suppose 186*d - 179*d = 7. Determine g(d).
5
Let m = 32 - 29. Let s(g) = 5 - 4 - g**m - g - 1 - 5*g**2 + 1. Let r = 7 - 11. What is s(r)?
-11
Suppose 4*f = u + 7, 0 = -5*u + f + f + 1. Let d(s) = 39*s**2 + s. Give d(u).
40
Let k be (-11)/((-968)/(-16)) - (-4)/22. Let z(s) = s**2 - s - 26. Determine z(k).
-26
Let t(g) be the second derivative of -g**3 + 3*g**2/2 - 33*g + 9. Give t(-6).
39
Let l = 10 - 6. Let j(b) = -b + 71 - 181 + 59 + 54. Calculate j(l).
-1
Let q(d) = d**2 - 12*d - 7. Let u = 212 - 202. Determine q(u).
-27
Let m(x) = 8*x**3 + 2*x**2 - 2*x + 1. Let g = 4 - 4. Let h(p) = 5 + g - p + 3*p - p. Let j be h(-4). What is m(j)?
9
Let w be 2/(-13) - (580/(-390) + -1). Let o(d) be the first derivative of -1/4*d**4 + w*d**3 - 3*d**2 + 8 + 0*d. Calculate o(6).
0
Suppose 123*f + 527 = 106*f. Let h(d) = -d**2 - 27*d + 118. Determine h(f).
-6
Let j = 2 - 5. Let d(m) = 2*m**3 - 3*m**2 - 8*m - 4. Let p(l) = l**3 - l. Suppose -5*i + 6*i - 4 = 0, 4*i - 21 = -5*x. Let q(n) = x*d(n) - 3*p(n). What is q(j)?
11
Suppose -4*k = 2*d - 2, 0 = -0*d - 2*d - 10. Suppose -17*t = -12*t - 15. Let r(b) = -3*b**k - 6*b**2 - 5*b + 4*b**t - 2*b**3 - 3. What is r(-4)?
-15
Suppose 32 = -2*g + 266. Let j(p) = g - p + 4*p**3 + 0*p**2 - 116 + p**2. Calculate j(1).
5
Let t(p) = p**2 - 8*p + 9. Let d be t(7). Let v(u) = -u**d - u + 7 - 7*u - 1 + 9*u. Let x be (20/(-6))/(2/(-3)). What is v(x)?
-14
Let x = 1 - 1. Let q = 163 + -161. Let l(w) = -3 + 4 - 7 - w**3 + 2*w**q - 3*w**2. Determine l(x).
-6
Let b(s) = s**3 - 14*s**2 + 28*s + 9. Let c be b(12). Let a(t) = 44*t - 40*t - c + 61. Determine a(-3).
-8
Let d(f) = -2*f**2 + 6*f. Suppose 0*a - 21 = -7*a. Suppose -3*u + a*o + 14 = 5*o, 5*u - 22 = -2*o. Determine d(u).
-8
Suppose 105 = 4*x + 5*d, 5*x - 213 = -d - 66. Suppose -10 = -5*n - x. Let v be ((-15)/(-6))/(n/(-8)). Let y(z) = -z - 4. Give y(v).
-9
Let d be (-7 - -13)*4/6. Let c(v) be the first derivative of -1 - d*v + 1/3*v**3 + 2*v**2. Calculate c(-4).
-4
Let k(g) = g**2 + 12*g + 8. Let l(x) = -x**3 + 15*x**2 + 19*x - 56. Let i be l(16). Calculate k(i).
-24
Let f = 11 + -3. Let y(t) = t**3 - 7*t**2 - 7*t - 6. Determine y(f).
2
Suppose -3*l - 14 = h, 2*l + 2*l = 3*h - 10. Let f = l - -6. Suppose x = -f*x + 6. Let q(z) = -z**2 + 2*z - 3. What is q(x)?
-3
Let q(a) be the second derivative of -a**5/20 - 5*a**4/12 - a**3/6 + 3*a**2/2 - 57*a. Calculate q(-3).
-12
Let x be 2 - (4 - 5) - 0. Suppose -4*n - p = p - 12, x*n + p = 10. Let i(u) = -6*u**2 + 5*u + 7 + n*u**2 + u**2. Determine i(6).
1
Let p(z) = -2*z**3 + 2*z + 3. Suppose 3*x = -2 + 14. Let m be ((-10)/4 - -3)*-12. Let s = x + m. Calculate p(s).
15
Suppose -3*z - 14 = -5*z. Let c(k) be the third derivative of -k**4/24 + 2*k**3/3 - 16*k**2. Let n be c(z). Let f(g) = 4*g + 1. Determine f(n).
-11
Let d be -1*((-6)/1)/2. Suppose 4*u - 2 = -0*u - 2*a, -a = d*u - 4. Let j(p) = 2*p**2 - 2*p + 1. Calculate j(u).
13
Let x(r) = -19 - 6*r - 4*r - r**2 - 21 - 5*r. Let m be x(-11). Let f(b) = -b + 9. What is f(m)?
5
Let g(s) = 5*s**3 + 3*s**2 - 8*s - 5. Let n(x) = -17*x**3 - 9*x**2 + 24*x + 15. Let l(z) = 7*g(z) + 2*n(z). Give l(-5).
-15
Suppose -12*c + 9*c = -9. Suppose 4*h - c*h - 17 = 0. Let n = h + -18. Let s(o) = 20*o**2 - o. Calculate s(n).
21
Let w(l) be the third derivative of l**6/120 - l**5/20 + l**4/8 - 2*l**3/3 - l**2. Suppose -z - 698 = -5*d, -708 = -5*d + 2*z - 6*z. Let t = 143 - d. Give w(t).
5
Let i = -70 + 76. Let p(t) = -1 + i*t + 38*t**3 - 3*t - 39*t**3 + t**2. Determine p(3).
-10
Suppose 4*t - 17 = -5, -2*t = g - 3. Let w(r) = -2*r**2 - 9*r - 6. Give w(g).
3
Let y(h) be the second derivative of h**5/20 - 5*h**4/12 + h**3/6 + 5*h**2/2 + 288*h. Calculate y(4).
-7
Let f(c) = -2*c - 9. Let u(n) = 30*n + 291. Let q be u(-10). Give f(q).
9
Let u(n) = -1. Let j(f) = f**2 - 5. Let v(c) = 2*j(c) - 11*u(c). Let o(a) = 152*a + 454. Let p be o(-3). Calculate v(p).
9
Let c(m) be the third derivative of -7*m**4/24 - 5*m**3/3 - 200*m**2. Give c(-7).
39
Let m(w) be the third derivative of w**5/60 - w**4/24 - 2*w**3/3 - 2*w**2 + 77. Determine | {
"pile_set_name": "DM Mathematics"
} |
/(g*g**1*g)**(-3))**(-17))**(5/3) assuming g is positive.
g**(-442)
Simplify y**(-8)*y*y**(-8)*(y**(-8)/y)/(y*y**4*y)*((y/(y**(-1)*y))**(-16))**(1/20) assuming y is positive.
y**(-154/5)
Simplify (m**(1/8)*m*m*m**(-5))**(7/3)/((m*m/(m**0/m))**41*m**(-6)/((m*m**(-1))/m)) assuming m is positive.
m**(-2993/24)
Simplify ((j/j**(4/7))/(j/(j**(-2/7)*j)))/((j*j**(1/4)*j*j)/j)**(-42)*((j/j**(-2/5))/j*j*j*j**(-5/4))**(-2/107) assuming j is positive.
j**(354357/3745)
Simplify ((v**(-10)*v)/(v/v**3)*v**(-12)/(v/v**(2/15)*v))**(5/7) assuming v is positive.
v**(-313/21)
Simplify ((((t/t**4)/t**(-3/2))**(-2/27))**20)**4 assuming t is positive.
t**(80/9)
Simplify ((r**(-5/4)*r)/r*r*(r*r**(-1/11))/r)**(-2/61)*((r**(-2)*r*r*r)/(r**1*r))/(r**(3/4)/(r*r**(3/2)*r)) assuming r is positive.
r**(4727/2684)
Simplify u**(-25/4)*(u**(-2/41)*u)/u*(u**31*u*u)/u**(-1/57) assuming u is positive.
u**(249767/9348)
Simplify ((k**(-6/13))**(-11/4)/(((k*k**(-32))/k)/(k/(k*k/(k*k**(-18))))))**(-8/11) assuming k is positive.
k**(-1588/143)
Simplify ((i*i**(-4/7))/i**(1/5)*(i/i**0)**24)/((i/(i/(i**0/i)))**(6/11)/(i**(-2/9)*(i/(i**(-6)*i*i))/i*i*i)) assuming i is positive.
i**(105862/3465)
Simplify ((y**(-2))**(2/7))**(17/4)/((y**(-1/3)*y)**(-17/5))**19 assuming y is positive.
y**(4267/105)
Simplify (m*(m/(m**(2/5)/m))/m)**10/((m*m**(-2))/((m/(m/m**(-5)*m))/m))*((m**(1/10)*m)/(m/(m*m**(-3/2)/m)))**33 assuming m is positive.
m**(-181/5)
Simplify (q/(q**(-6)*q))/(q/(q*q*q**0/q)*q*q)*(q*q**4)/(q**(1/2)*q)*((q*(q**(-4)/q)/q)/q*q*q*q**6*q*q)/((q*q*q**6)/((q**(-2)/q)/q)) assuming q is positive.
1/sqrt(q)
Simplify ((g**(-8/3))**(-38)*g**(-5)*g*g**10)**(-42) assuming g is positive.
g**(-4508)
Simplify (q/(q*(q**(-21/5)*q)/q)*q*q)**43/((q/(q/q**34))/q)**50 assuming q is positive.
q**(-6917/5)
Simplify ((d**(-1))**(2/51)*d**(9/2)*d**16)**(-15) assuming d is positive.
d**(-10435/34)
Simplify ((b**(-1/9)*b**2)/((b**(-2/11)*b)/b**(-1/5)))/(b**(2/5)*b**1*((b**(1/2)*b)/b)/(b/(b*b**8/b))) assuming b is positive.
b**(-7949/990)
Simplify (q**1)**(3/2)/(q/q**(-1/12)*q*q**(-3/2))*((q/(q/(q**(-7)*q)*q))/q*q*q*q**(-1/13)*q*q*q)**13 assuming q is positive.
q**(-469/12)
Simplify (x**0/x*x/(x/(x/(x*(x/x**(-1/3))/x))))/((x*x**(-1/4))/(x/x**(-1/6)))*(x**(-7)*(x/x**(-2))/x)/(x*(x/(x/(x*x**0)))/x)**(5/6) assuming x is positive.
x**(-27/4)
Simplify ((p**1*p)**(-7/4)/(p**1*p*p**(-1)))/((p/(p/(p**0/p)))**(-47))**28 assuming p is positive.
p**(-2641/2)
Simplify (((((s/(s*s**(1/12)))/s)/s*s)/(s*s/s**(-2)))**(-13))**(4/15) assuming s is positive.
s**(793/45)
Simplify s**(-1/5)/s**(-2/11)*(s**(-2/3)*s*s)**37*((s*s/(s/s**8)*s)/(s**(-5)/s))**25 assuming s is positive.
s**(74137/165)
Simplify ((r/(r/(r/r**(-4/5)))*r*r**5)/(r*r**(-1/3))**(2/7))/(((r*r*r**2*r)/r**(-2/11))/(r/(r*r**(-1))*r/(r**4*r))) assuming r is positive.
r**(-661/1155)
Simplify ((y**(1/72)/y*y*y/(y*y/((y*y**(-3/4))/y)*y*y))/(y/(y/y**(-1/21))*y**(3/2)))**(1/17) assuming y is positive.
y**(-2615/8568)
Simplify ((m**(-2))**(-2/29))**41/((m**(-2/3)*m*m)**4/((m/((m/((m/(m/(m/m**(-5))))/m*m))/m*m))/(m/(m/(m/(m**(-2/7)/m)))))) assuming m is positive.
m**(2458/609)
Simplify (((n**(2/9)/n)**(3/40)*n**(-9)/((n**(-9)*n)/n))**(-44/5))**(4/13) assuming n is positive.
n**(154/975)
Simplify (b**(-41)*b)/((b**(-21)*b)/b)*b**(-32/3)*(b**(3/4)/b)/b assuming b is positive.
b**(-371/12)
Simplify ((i**(-4))**(1/40))**(12/13)/((i**(3/10)*i)/(i/(i**(-2/7)/i)))**(-11/6) assuming i is positive.
i**(-3457/1820)
Simplify (i**(12/11)*i)**(-24)/(i**(-2))**(-6/5) assuming i is positive.
i**(-2892/55)
Simplify (l*l/l**5*l**(-2)*l)/(l/(l**1/l))**(-15)*(((l/l**1*l)/l)/(l/l**(3/2)))/(l/(l*l/((l/((l**(-4)/l)/l))/l)*l)*l/(l**1*l)) assuming l is positive.
l**(17/2)
Simplify (g*g**(-3/5)*g*g*g*g**(2/17)*g*g**(-4)/g*g*g*g**(1/7))/(((g/g**11*g)/g*g)/g**10)**(-5) assuming g is positive.
g**(-55537/595)
Simplify (n**(-2/13)/(n*n**(2/11)*n))**(-13)*((n/(n/((n/((n*n/((n*n**(-2/5))/n))/n))/n))*n)**(-39))**(-7/3) assuming n is positive.
n**(-332/55)
Simplify ((r**(2/125)*r*r**(3/8))/(r/(r*r/r**24)*r**13))**(-2/71) assuming r is positive.
r**(34609/35500)
Simplify ((y**(1/2))**(-11/4)/(y**(-4)*y**(2/21)*y))/((y*y**5)/((y**(-4/3)/y)/y*y)*y*y**(-2)*y**(-1)) assuming y is positive.
y**(-269/56)
Simplify (((n**18*n)/n**(-10))/(n*n**11/n)**(13/5))**(-2/27) assuming n is positive.
n**(-4/135)
Simplify ((s**(-5)*s**0)/((s/(s**(-2/3)*s*s))/(s/s**(-3))))/((s*s**5*s)/(s/s**(-4/11)))**44 assuming s is positive.
s**(-746/3)
Simplify (o/(o**(1/27)*o)*o/o**19)/(o**43*o*(o/(o**(-41)*o*o))/o) assuming o is positive.
o**(-2728/27)
Simplify (j**(-2/3))**(12/7)/(j**(-2)*j**(-6))*j/j**(1/2)*j**(4/5)*j*(j**0/j)**(2/35) assuming j is positive.
j**(91/10)
Simplify z**(-6)/z**(3/7)*(z*z/z**6*z*z)/(z*z**(2/3)/z)*((z*z**(-4))/(z*z*z**5))**(-44) assuming z is positive.
z**(9049/21)
Simplify (((h**(-1/7)*h)**(-25)*(h*h**2/h)/(h**0*h))**(-3/22))**(1/77) assuming h is positive.
h**(39/1078)
Simplify ((d*d/d**(1/6))/d**(-2))/(d**(4/9)*d**(-5/4))*(d**(-9)*d/((d*d**5)/d))**14 assuming d is positive.
d**(-6385/36)
Simplify (((w/(w/(w/(w**(-15)/w))))/w*w**(-2/7)/w)**20)**(-50) assuming w is positive.
w**(-103000/7)
Simplify (l/((l/l**(-3/5))/l))**(13/5)/(l/(l**(-1/28)/l))**(5/2) assuming l is positive.
l**(-5669/1400)
Simplify (((d*d**(-40)*d)/d)/d**(2/83))/(((d*d**49)/d)/(d/(d*d*(d**44/d)/d))) assuming d is positive.
d**(-10875/83)
Simplify ((z*z*z/((z**18/z)/z))/(z*z**(10/9)))/(z/z**(-1/30)*z)**(-3/32) assuming z is positive.
z**(-42971/2880)
Simplify (((d*d**(-1/5)/d*d)**(-19)/(d**0)**(-18))**(-1/32))**(-2/9) assuming d is positive.
d**(-19/180)
Simplify ((((z/(z/(z**8/z*z)))/z)/(z*z*z*z*z**(-6)*z*z))/(z**(-3)*(z**(2/9)*z*z)/z))/(((z/z**(2/3)*z)/z)**(3/16))**(-1/89) assuming z is positive.
z**(112505/12816)
Simplify (o**(-2/29)*o*o*o**6*o/(o*o*o**(-2)/o*o)*o/(o/(o**(-15)*o)))**(-9/5) assuming o is positive.
o**(1323/145)
Simplify ((a/((a**0/a)/a)*a**(2/7)*a**(-1/2)*a*a/a**(3/2)*a*a)**(-44))**(-7) assuming a is positive.
a**1628
Simplify (c**(-15/2)/(c*c/((c**(-7)*c)/c))*(c/(c/(c*c/((c*c/(c*c*c**(-17)))/c))))**(9/7))**(3/13) assuming c is positive.
c**(-207/26)
Simplify ((t*t**(-1/2))/(t/(t/t**(-9))))/((t/(t**8/t))/(t*t/t**(-4)))*((t/(t/t**(-5)))**(1/10))**(-46) assuming t is positive.
t**(89/2)
Simplify (l**(-2/17))**(2/9)*(l/l**2)/(((l**(4/5)/l*l)/l)/l) assuming l is positive.
l**(133/765)
Simplify (t/(t*t**(-2/5)*t))/t*t*t*t/(t/t**(2/7))*t*(t*t**(-1/3)/t*t)/t**6*(t**0*t)**47*t**(1/7)/t*t**(-3) assuming t is positive.
t**(4147/105)
Simplify (((m**1/m)/m)**(-9/7))**(-27)*(m**1)**(-8)/(m/((m/(m*((((m*m**(-2)*m)/m)/m)/m)/m))/m)*m/(m*m**(-3/7)/m)) assuming m is positive.
m**(-295/7)
Simplify (p**(-3)*p)/p**0*p*p**(-2/15)*p*(p/p**0)/p*((p*p**(2/27)*p*p)/(p/(p/((p/((p/(p/(((p*p**4)/p)/p)))/p))/p*p))))**1 assuming p is positive.
p**(532/135)
Simplify (m/((m**(2/5)*m*m)/m)*m**(-4/3)*m/(m**(-2/3)*m)*m**1*m)/((m**1)**19)**(-38) assuming m is positive.
m**(10844/15)
Simplify (u*u**(-2/25)*u**(-6/23)*(((u/u**(-16))/u)/u)/u**(-3))**(15/7) assuming u is positive.
u**(32187/805)
Simplify (((l**1*l)/l**(-3/8))/(l**3*l**1))/(l**(-1)/l**2)**(-32/3) assuming l is positive.
l**(-269/8)
Simplify ((l**(-5)/l**(-4/9))**27)**(1/11) assuming l is positive.
l**(-123/11)
Simplify ((r**(-5/3))**(-40/9)*r**(2/27)*r*r**8)**(-1/32) assuming r is positive.
r**(-445/864)
Simplify ((f/f**(-46))**(16/3)*f**(2/75)*f*f*f/(f/((f/(f/f**43))/f)*f)*f)**(-2/59) assuming f is positive.
f**(-44204/4425)
Simplify (((l*l**(-2))/((l*l/((l/l**(-3))/l))/l*l))/(l**(-2/9)*l*l**0))/((l**(2/7)/l)**47*(l/l**0)**(-1/61)) assuming l is positive.
l**(126089/3843)
Simplify ((h**(-6)/(h/(h**(-2/11)/h)*h))/(h*h**(3/4)*h/(h/h**(-1))))/((h**(-3)*(h*h**0)/h*h)/((h/(h/(h*h**(2/11))))/(h*(h/h**(4/7))/h))) assuming h is positive.
h**(-201/28)
Simplify o*o*o**(-2/39)*o/o**(4/29)*o*(o**(3/7))**(-5/4) assuming o is positive.
o**(103715/31668)
Simplify ((v/((((v**(2/11)/v)/v*v)/v)/v))/v**(2/11))/(v**(-1/4))**(-7)*(v**(-1/10)/(v*v*v*v/(v**(-2/17)*v*v)))**11 assuming v is positive.
v**(-84179/3740)
Simplify ((s*s**(2/25)*s*s**(-6))/(s**(2/27)*s*s*s**(2/5)))/(((s/(s*s*s/(s/(s*s/(s**3*s)))))/s)/(s/(s**(-4)*s)))**(2/43) assuming s is positive.
s**(-180188/29025)
Simplify h**(8/5)/h*h**(-1/29)/h*h*( | {
"pile_set_name": "DM Mathematics"
} |
) = -2*f(u) + 20*r(u). Let o(p) = 2*p. What is t(o(n))?
16*n**2
Let h(d) = -2331*d. Let s(l) = 7*l. Give h(s(j)).
-16317*j
Let p(c) = -6*c**2 + 3*c**2 + 2*c**2. Let b(k) = 7*k**2. What is b(p(y))?
7*y**4
Let t(m) = -3*m**2. Let z = 0 - -4. Let n be (10/z)/(3/6). Let q(c) = 4 + 1 - 2*c - n. What is t(q(s))?
-12*s**2
Let u(a) = 13*a**2 - 2*a - 2. Let x(t) = 132*t**2 - 21*t - 21. Let k(g) = 21*u(g) - 2*x(g). Let h(o) = -5*o. Give k(h(b)).
225*b**2
Let u(k) be the third derivative of 0*k**4 - 1/30*k**5 + 0*k + 4*k**2 + 0*k**3 + 0. Let v(q) = 8*q**2 - 3*q**2 - 3*q**2. Calculate v(u(w)).
8*w**4
Let z(t) = 3*t. Let k(s) = 3*s. Let a(n) = 2*n. Let h(r) = -8*a(r) + 5*k(r). What is h(z(x))?
-3*x
Let s(r) be the second derivative of r**4/6 + 9*r. Let z(d) = 19*d**2. Give z(s(k)).
76*k**4
Let a(n) be the second derivative of 2*n**3/3 - n. Suppose -3*y - 4*l + 26 = 0, -5*y + 19 = 3*l - 6. Let g(x) = -2*x - y + 2. Give g(a(h)).
-8*h
Let h(k) = -11*k. Let g(n) = 36*n. Give g(h(j)).
-396*j
Let q(i) = -i**2. Let r(b) be the first derivative of 5*b**4/12 + 5*b + 6. Let n(x) be the first derivative of r(x). Give n(q(y)).
5*y**4
Let a(j) = j. Let y(u) be the second derivative of u**7/2520 - u**4/6 - 2*u. Let o(d) be the third derivative of y(d). What is a(o(n))?
n**2
Suppose 3*h + 3 = -3. Let r be (1/2)/(h/(-12)). Let v(p) = 0*p + r*p - 4*p. Let b(x) = -2*x**2. Give b(v(f)).
-2*f**2
Let r(y) = 4*y**2. Let i(a) = -627*a**2. Give r(i(d)).
1572516*d**4
Let k(g) be the first derivative of -2*g**2 + 9. Let v(j) = 3*j**2. Determine k(v(n)).
-12*n**2
Let q(a) = 3*a**2. Let b(z) = 3*z**2 - 2*z. Let s(m) = -m. Let j(g) = b(g) - 2*s(g). Determine q(j(f)).
27*f**4
Let n(y) = 2*y + 61. Let x(t) = -3*t**2. Calculate n(x(u)).
-6*u**2 + 61
Let c(l) = l**2 + 5*l + 1. Let q be c(-5). Let m be (1 - (-2 - q)) + -2. Let g(o) = -2*o**2 + 0*o**2 - m*o**2. Let s(p) = p. Calculate g(s(j)).
-4*j**2
Let w(u) = -u**2. Let c(a) be the first derivative of -5*a**3 + 1. Calculate c(w(i)).
-15*i**4
Let s(p) = -20*p - 9. Let k(j) = -5*j - 2. Let z(x) = 9*k(x) - 2*s(x). Let n(d) = -2*d. Give z(n(t)).
10*t
Let l(a) = -a - 7. Let b(y) = -y - 3. Let p(g) = -14*b(g) + 6*l(g). Let m(r) = -r**2. Determine m(p(h)).
-64*h**2
Let y(u) = 2*u**2. Let d(v) = v. Let a(q) = -28*q. Let r(h) = a(h) + 3*d(h). Give y(r(f)).
1250*f**2
Let f(g) = -7 + 2*g + 5*g - g. Let k(y) = -5*y + 6. Let c(p) = -6*f(p) - 7*k(p). Let w(r) be the second derivative of r**3/6 + 2*r. What is w(c(i))?
-i
Let d(q) = -50*q**2. Let t(l) = 1. Let y(f) = f - 3. Let x(g) = 3*t(g) + y(g). Give x(d(u)).
-50*u**2
Let p(d) = -d**2. Let v(x) = 21579*x - 1. Determine v(p(f)).
-21579*f**2 - 1
Let g(n) = -n**2. Let r(w) = -3*w + 2. Let x(d) be the first derivative of 8*d**2 - 11*d + 5. Let k = -6 + 17. Let u(l) = k*r(l) + 2*x(l). Determine g(u(b)).
-b**2
Let r(p) = 3*p**2. Let n(j) = -j**2 + 85*j. Determine n(r(t)).
-9*t**4 + 255*t**2
Let c(y) = 3*y**2. Suppose 2*o + 21 = 5*o. Let v(w) = o*w - 7*w - w**2. Give v(c(a)).
-9*a**4
Let s(n) be the third derivative of 0*n**4 + 1/30*n**5 + 0 + 2*n**2 + 0*n + 0*n**3. Let v(q) = 10*q**2. Calculate v(s(w)).
40*w**4
Let r(c) = -2*c**2. Let j(y) = 2*y - 3. Let v be j(2). Let w be (3/(-3) + v)/1. Let o(t) = -t + w*t + t - 2*t. Give r(o(b)).
-8*b**2
Let o(g) = -271*g. Let u(q) = -q**2. Give u(o(k)).
-73441*k**2
Let l(j) = -2*j - 1527. Let u(w) = w**2. What is l(u(s))?
-2*s**2 - 1527
Let i(p) = 6*p**2. Let r(l) = -21*l**2. Give i(r(j)).
2646*j**4
Let j(w) = 8*w. Let y(z) be the second derivative of -1/3*z**3 - 4*z + 0 + 0*z**2. Determine j(y(u)).
-16*u
Let u(r) = 3*r**2. Let d(b) be the first derivative of b**4/12 + 2*b - 7. Let j(k) be the first derivative of d(k). Determine u(j(t)).
3*t**4
Let p be 1 - (-3 - (-2 + 1)). Let c(n) = 1 - 1 - p*n. Let o(h) = -h**2. What is o(c(k))?
-9*k**2
Let d(y) = 2*y. Suppose -4*u = -3 - 1. Let m(k) = 20*k**2 + 24. Let z(x) = x**2 + 1. Let w(l) = u*m(l) - 24*z(l). Give w(d(q)).
-16*q**2
Let m(u) = u. Let k(s) = s + 440. What is m(k(d))?
d + 440
Let p(a) = -597*a + 1. Let l(q) = -q**2. What is p(l(u))?
597*u**2 + 1
Let p(y) = 2*y. Let f(m) = 4*m**2 - 34*m**2 + 12*m**2 - m**2. Give f(p(q)).
-76*q**2
Let m(j) be the second derivative of -j**3/6 + j. Let w(z) = -8*z. Let u = -4 + 3. Let t(i) = u*w(i) + 6*m(i). Let k(x) = x**2. What is k(t(h))?
4*h**2
Let i(q) = -10*q. Let m(d) = -2*d. Let r(c) = -3*i(c) + 16*m(c). Let p(l) = l**2 + 8. Give p(r(v)).
4*v**2 + 8
Let i(t) = -4*t**2. Let y(g) be the third derivative of -13*g**5/60 + 35*g**2. What is y(i(c))?
-208*c**4
Let t(k) be the first derivative of -k**4/12 - 3*k - 3. Let z(n) be the first derivative of t(n). Let y(q) = -3*q**2. What is y(z(d))?
-3*d**4
Let i(m) = -m. Let c(s) = -3*s. Let v(g) = 6*c(g) - 17*i(g). Let k(a) = a**2 - 5*a - 1. Let r be k(6). Let u(z) = -5*z + r*z + 5*z**2. What is v(u(n))?
-5*n**2
Let u(w) = w**2. Let r(y) be the second derivative of -13*y**5/120 + y**3/3 + y. Let a(s) be the second derivative of r(s). Give a(u(b)).
-13*b**2
Let w(z) = -z. Suppose 3*d = 12 - 3. Suppose -2*n - 1 = -d. Let t(y) = n - 1 + y. What is w(t(v))?
-v
Let m(q) = 6*q**2. Let a(w) = -904*w. What is m(a(v))?
4903296*v**2
Let b(f) = -2*f**2. Let k(x) = x + 7. Let z = -3 - 2. Let t be k(z). Let r(h) = -t*h - 3*h + 4*h - 3*h. Determine b(r(y)).
-32*y**2
Let u(f) = -22*f. Let l(y) = -2*y**2. Give u(l(a)).
44*a**2
Suppose 7*a - 22 = 2*a + 2*s, 4*s + 16 = 3*a. Let d(t) = a*t + 3*t - 10*t. Let f(i) = 4*i**2 - 3*i**2 + i**2. Give f(d(q)).
18*q**2
Let z(g) = -2*g**2 - 511. Let r(j) = 2*j**2. Determine r(z(o)).
8*o**4 + 4088*o**2 + 522242
Let k(z) = 6*z - 6. Let l(t) = -5*t + 5. Let h(d) = -6*k(d) - 7*l(d). Let i(c) = -4*c + 6. Let n(v) = 6*h(v) - i(v). Let b(a) = 6*a. Calculate b(n(q)).
-12*q
Let r = -12 - -14. Let m(g) = 3*g - r*g + 7*g. Let p(x) = x**2. What is m(p(n))?
8*n**2
Let o(y) = 2*y. Let x(w) = -10*w**2 - 539. Calculate o(x(a)).
-20*a**2 - 1078
Let v(n) be the third derivative of n**5/30 - 3*n**2. Let i = -2 - -4. Let m(g) = 1 + 8*g**i - 11*g**2 - 1. What is v(m(l))?
18*l**4
Let s(w) = 11*w**2. Let t(z) = 2*z**2 + 16. Determine s(t(g)).
44*g**4 + 704*g**2 + 2816
Suppose 5 + 1 = 3*s. Let y(m) = 2. Let n(h) = h + 2. Let a = 3 - 5. Let p(q) = a*n(q) + s*y(q). Let t(z) = -2*z. Give p(t(i)).
4*i
Suppose -3*l = 1 - 7. Let b(m) = -l*m + 8 - 8. Let c(k) = -2*k**2. Give c(b(r)).
-8*r**2
Let s(p) = 66*p**2 - 27*p. Let a(t) = -6*t + 3*t + 5*t + 5*t**2 - 4*t. Let u(r) = -27*a(r) + 2*s(r). Let d(o) = 2*o. Give d(u(c)).
-6*c**2
Let j(q) be the third derivative of -q**6/180 + q**4/12 - 3*q**2. Let l(z) be the second derivative of j(z). Let k(s) = 2*s. What is k(l(f))?
-8*f
Let i(g) = 2*g. Let l(z) = 6*z**2 - 11*z - 11. Let t(k) = -k**2 + 2*k + 2. Let h(a) = -6*l(a) - 33*t(a). What is i(h(j))?
-6*j**2
Let n(w) = -2*w**2. Let v(u) = -3142*u**2. What is v(n(q))?
-12568*q**4
Let c(q) = -12 - q + 12. Let x(p) = -25*p. Calculate c(x(z)).
25*z
Let g(w) = 26*w. Let l(t) = -292*t. Give l(g(d)).
-7592*d
Let k(r) = -2*r. Let x(a) = 26*a**2 + 4*a + 4. Let i(u) = 26*u**2 + 3*u + 3. Let m(o) = -4*i(o) + 3*x(o). Calculate k(m(l)).
52*l**2
Let x(u) = -2*u. Let q(n) = -63*n. Let b(r) = 4*r. Let y(o) = 49*b(o) + 3*q(o). What is y(x(s))?
-14*s
Let q(x) = x**2. Let n = -1 - -2. Let c(u) = -6*u + 4*u - n + 1. Calculate c(q(y)).
-2*y**2
Let h(x) = x - 1. Let a(t) = 3*t + 4. Let b(l) = -a(l) - 4*h(l). Let p(n) = 11*n + 8. Let w(i) = 7*i + 5. Let z(y) = -5*p(y) + 8*w(y). Calculate b(z(q)).
-7*q
Suppose 6*j - 12 = 2*j. Let l(v) = j*v + 15*v**2 - 18*v**2 - 3*v. Let u(o) be the third derivative of -o**5/30 + 2*o**2. Determine l(u(h)).
-12*h**4
Let b(v) = -v - 2*v + 0*v. Let o(t) = 3*t + 107 - 107. Give o(b(i)).
-9*i
Let c(p) = -9354*p. Let g(j) = -j**2. What is g(c(r))?
-87497316*r**2
Let z(k) = 135*k + 1. Let s(d) = -d**2. Determine s(z(x)).
-18225*x**2 - 270*x - 1
Let l(x) = -2*x. Suppose 35 = 3*h + 2*h. Suppose 2 = 2*j - 2*p, -2 = -4*j - p + h. Let f(y) = -1 - j*y + 1. Give l(f(t)).
4*t
Let j(g) = 2*g**2. Let s(m) = 4*m + 5. Let n(t) = 2*t + 2. Let i(k) = 5*n(k) - 2*s(k). What is j(i(b))?
8*b**2
Let o(x) = -3*x. Let i(r) be the first derivative of -3 + 5 - 7*r + 7*r - r**2. Calculate o(i(h)).
6*h
Let o(u) be the second derivative of 1/3*u**3 - u + 0 + 0*u**2. Let v | {
"pile_set_name": "DM Mathematics"
} |
2330?
3
What is the hundreds digit of 2455?
4
What is the units digit of 6091?
1
What is the tens digit of 107?
0
What is the units digit of 14106?
6
What is the units digit of 1399?
9
What is the thousands digit of 8236?
8
What is the ten thousands digit of 25981?
2
What is the hundreds digit of 844?
8
What is the thousands digit of 14514?
4
What is the thousands digit of 7559?
7
What is the thousands digit of 7114?
7
What is the units digit of 222?
2
What is the hundreds digit of 2639?
6
What is the hundreds digit of 2397?
3
What is the tens digit of 195?
9
What is the hundreds digit of 45371?
3
What is the tens digit of 2118?
1
What is the hundreds digit of 2219?
2
What is the tens digit of 10030?
3
What is the units digit of 27249?
9
What is the ten thousands digit of 40536?
4
What is the units digit of 916?
6
What is the units digit of 893?
3
What is the hundreds digit of 1457?
4
What is the units digit of 83971?
1
What is the thousands digit of 2039?
2
What is the hundreds digit of 3040?
0
What is the hundreds digit of 757?
7
What is the thousands digit of 2245?
2
What is the thousands digit of 1587?
1
What is the hundreds digit of 13880?
8
What is the tens digit of 7352?
5
What is the tens digit of 158?
5
What is the tens digit of 1889?
8
What is the units digit of 8563?
3
What is the tens digit of 3147?
4
What is the units digit of 3526?
6
What is the hundreds digit of 178?
1
What is the units digit of 133307?
7
What is the thousands digit of 3795?
3
What is the thousands digit of 27259?
7
What is the units digit of 852?
2
What is the units digit of 44003?
3
What is the thousands digit of 23891?
3
What is the units digit of 81238?
8
What is the tens digit of 30632?
3
What is the ten thousands digit of 17777?
1
What is the thousands digit of 1049?
1
What is the ten thousands digit of 53531?
5
What is the tens digit of 64144?
4
What is the hundreds digit of 846?
8
What is the hundreds digit of 1228?
2
What is the tens digit of 9281?
8
What is the units digit of 2807?
7
What is the tens digit of 458?
5
What is the ten thousands digit of 29146?
2
What is the hundreds digit of 2790?
7
What is the units digit of 4045?
5
What is the tens digit of 3933?
3
What is the units digit of 4030?
0
What is the tens digit of 7901?
0
What is the units digit of 45715?
5
What is the thousands digit of 36117?
6
What is the units digit of 12564?
4
What is the tens digit of 39191?
9
What is the units digit of 532?
2
What is the hundreds digit of 922?
9
What is the thousands digit of 29586?
9
What is the thousands digit of 49303?
9
What is the units digit of 1481?
1
What is the thousands digit of 57445?
7
What is the units digit of 1191?
1
What is the tens digit of 176?
7
What is the tens digit of 926?
2
What is the hundreds digit of 9667?
6
What is the units digit of 22257?
7
What is the tens digit of 14092?
9
What is the units digit of 354?
4
What is the hundreds digit of 2930?
9
What is the thousands digit of 24632?
4
What is the tens digit of 7498?
9
What is the hundreds digit of 4710?
7
What is the tens digit of 45?
4
What is the thousands digit of 42978?
2
What is the units digit of 30158?
8
What is the thousands digit of 1095?
1
What is the ten thousands digit of 10197?
1
What is the tens digit of 772?
7
What is the ten thousands digit of 171230?
7
What is the thousands digit of 2646?
2
What is the thousands digit of 4567?
4
What is the units digit of 543?
3
What is the hundreds digit of 16262?
2
What is the tens digit of 731?
3
What is the hundreds digit of 3073?
0
What is the tens digit of 564?
6
What is the ten thousands digit of 12992?
1
What is the tens digit of 39?
3
What is the units digit of 5015?
5
What is the tens digit of 585?
8
What is the tens digit of 300?
0
What is the thousands digit of 1554?
1
What is the units digit of 2189?
9
What is the tens digit of 1402?
0
What is the units digit of 125250?
0
What is the units digit of 22920?
0
What is the units digit of 874?
4
What is the units digit of 112?
2
What is the units digit of 387?
7
What is the units digit of 1031?
1
What is the units digit of 4540?
0
What is the thousands digit of 6465?
6
What is the thousands digit of 168311?
8
What is the tens digit of 967?
6
What is the units digit of 5353?
3
What is the hundreds digit of 1041?
0
What is the hundreds digit of 1854?
8
What is the units digit of 33885?
5
What is the units digit of 8645?
5
What is the units digit of 26136?
6
What is the thousands digit of 23461?
3
What is the hundreds digit of 13494?
4
What is the thousands digit of 1693?
1
What is the units digit of 451?
1
What is the thousands digit of 96215?
6
What is the thousands digit of 26995?
6
What is the thousands digit of 8755?
8
What is the hundreds digit of 17587?
5
What is the tens digit of 8395?
9
What is the thousands digit of 1516?
1
What is the thousands digit of 8644?
8
What is the thousands digit of 15740?
5
What is the hundreds digit of 899?
8
What is the hundreds digit of 19783?
7
What is the units digit of 8742?
2
What is the tens digit of 653?
5
What is the tens digit of 16084?
8
What is the hundred thousands digit of 101098?
1
What is the units digit of 2248?
8
What is the ten thousands digit of 18861?
1
What is the thousands digit of 1946?
1
What is the tens digit of 32054?
5
What is the units digit of 4763?
3
What is the units digit of 34537?
7
What is the units digit of 198?
8
What is the tens digit of 32768?
6
What is the units digit of 9567?
7
What is the hundreds digit of 58653?
6
What is the units digit of 1086?
6
What is the hundreds digit of 246?
2
What is the thousands digit of 7700?
7
What is the tens digit of 46122?
2
What is the tens digit of 76?
7
What is the units digit of 318?
8
What is the tens digit of 586?
8
What is the tens digit of 18992?
9
What is the hundreds digit of 11161?
1
What is the hundreds digit of 1576?
5
What is the thousands digit of 17648?
7
What is the units digit of 2056?
6
What is the units digit of 704?
4
What is the thousands digit of 6000?
6
What is the units digit of 1578?
8
What is the tens digit of 595?
9
What is the thousands digit of 3002?
3
What is the thousands digit of 96032?
6
What is the tens digit of 9045?
4
What is the thousands digit of 73693?
3
What is the thousands digit of 6976?
6
What is the units digit of 1883?
3
What is the hundreds digit of 116800?
8
What is the units digit of 1889?
9
What is the tens digit of 3674?
7
What is the thousands digit of 22973?
2
What is the thousands digit of 69089?
9
What is the thousands digit of 6229?
6
What is the tens digit of 2721?
2
What is the tens digit of 649?
4
What is the tens digit of 11854?
5
What is the hundreds digit of 6663?
6
What is the units digit of 92054?
4
What is the hundreds digit of 8243?
2
What is the ten thousands digit of 18023?
1
What is the units digit of 58380?
0
What is the ten thousands digit of 127586?
2
What is the ten thousands digit of 15601?
1
What is the tens digit of 10851?
5
What is the tens digit of 1585?
8
What is the hundreds digit of 592?
5
What is the tens digit of 1235?
3
What is the hundreds digit of 148473?
4
What is the thousands digit of 6636?
6
What is the hundreds digit of 461?
4
What is the tens digit of 659?
5
What is the hundreds digit of 680?
6
What is the hundreds digit of 7194?
1
What is the tens digit of 32586?
8
What is the thousands digit of 59984?
9
What is the thousands digit of 9066?
9
What is the thousands digit of 5322?
5
What is the thousands digit of 20489?
0
What is the units digit of 4?
4
What is the hundreds digit of 2973?
9
What is the thousands digit of 3985?
3
What is the tens digit of 1237?
3
What is the units digit of 72?
2
What is the thousands digit of 6967?
6
What is the hundreds digit of 4978?
9
What is the units digit of 4866?
6
What is the hundreds digit of 876?
8
What is the units digit of 64767?
7
What is the thousands digit of 21841?
1
What is the units digit of 4106?
6
What is the ten thousands digit of 33438?
3
What is the tens digit of 7599?
9
What is the hundreds digit of 8847?
8
What is the tens digit of 91044?
4
What is the tens digit of 1591?
9
What is the thousands digit of 37230?
7
What is the hundreds digit of 1351?
3
What is the units digit of 1636?
6
What is the units di | {
"pile_set_name": "DM Mathematics"
} |
e j(0). Let f be (8/10)/((-2)/(-45)). Suppose f + 12 = 2*r. Solve o*t - r - 5 = 0 for t.
4
Suppose 34*y - 37*y + 18 = 0. Solve 0 = -5*b - y + 26 for b.
4
Suppose 0 = -s + 1 + 1. Suppose 0 = -h + 5*l - 19, s*l = -3*h + l + 23. Solve -q + h = q for q.
3
Let l(k) = k + 11. Let g be l(-8). Suppose 5*w + c = 4*c - g, -5*c = -5*w - 5. Solve 1 = o - w*o for o.
1
Let h be (8/(-16))/(2/8) - -5. Solve h = 3*u + 18 for u.
-5
Suppose -3*q + 6 = -0*q. Let x = 14 + -8. Solve q*m = -m + x for m.
2
Let i(u) = u**3 - u**2 + 1. Let j be i(2). Let l(g) be the third derivative of -g**4/24 + 7*g**3/6 - 13*g**2. Let a be l(j). Solve 2 = a*r + 6 for r.
-2
Let i(k) = k**2 + k + 1. Let d be i(-4). Let o = -8 + d. Solve 0 = -2*z - 3 - o for z.
-4
Let y(w) = -3*w + 11 - 2*w + 4*w. Let b be y(6). Let p(n) = -3*n**3 - 1. Let a be p(-1). Solve b*o + 12 = a*o for o.
-4
Suppose -g = -4*f + 14, 5*g + 7 = -f - 0*g. Let m = -298 - -300. Solve m + 7 = f*b for b.
3
Suppose p = -0*p. Let u(t) = 29*t. Let h be u(1). Suppose -3*b - 21 = -6*b - 3*k, -5*k + h = 2*b. Solve -3*v - b + 11 = p for v.
3
Let q be 5/(2/(2 + 0)). Suppose 4*h + q = -5*r - 5, -3*h = 15. Solve -r*j + 5*j = 0 for j.
0
Let r = -14 + -1. Let z = r + 19. Suppose 2 = 2*y - 3*o, -o - 37 = -3*y - 5*o. Solve z*i + 1 = -y for i.
-2
Let x be 13/(26/(-6))*(-5)/3. Solve x*z + 11 = -4 for z.
-3
Suppose 0*l + 3*l = 0. Suppose l = -2*h - 3 + 7. Solve 6 = h*f - 4 for f.
5
Suppose -13 + 1 = -4*d. Solve d*n - n = 0 for n.
0
Let a = 140 + -140. Solve a = -4*k - 4 for k.
-1
Suppose 2*w = 5*w - 12. Suppose 0 = w*a - 5*a + 1. Suppose m = a + 1. Solve 1 = -m*f - 5 for f.
-3
Suppose -3*a = 4*b - 12, 0*a + 2*a - 6 = -2*b. Suppose -k + b = 2*k. Solve 0*o = o + k for o.
-1
Let o = -75 + 110. Suppose -6*v = -v - o. Let x be (-68)/(-6) - (-4)/6. Solve -3*f + x = -v*f for f.
-3
Let q be 9/6 - 1/2. Let o = 3 + q. Suppose 5*z - 2*m = 12, -3*z - o*m = -4 - 24. Solve 2 + 14 = -z*d for d.
-4
Let o(y) = y**2 - 4*y - 17. Let r be o(7). Solve 2*t - 10 = -r for t.
3
Let c be (1/2)/((-1)/(-86)). Let w = c + -31. Solve 2*a = 6*a + w for a.
-3
Let t be (-3)/6*2*-5. Suppose -d + 1 + 0 = 0. Solve -t*l + 4 + d = 0 for l.
1
Suppose 3*d = -2*d + 15. Suppose -4*i + d = -v, 5*i - 5*v + 11 = -4. Solve 2 = i*f + 8 for f.
-3
Suppose 4*l + 2 = -3*g + 17, l + 5*g - 25 = 0. Suppose 0 = -4*t, 0*b - 2*b - 2*t = -12. Let r = -4 + b. Solve 0*v - r*v = l for v.
0
Suppose 13*f = 20 - 7. Solve -3*t - f = -7 for t.
2
Let p be -1 + 0 + 1 - -3. Suppose -p*q + 5*k = -14 - 15, -k = 4*q - 8. Solve q*d = 4 + 5 for d.
3
Let a(v) = 0*v + v - 4*v**3 + 5*v**2 + 3*v**3. Let y be a(5). Solve -2*z + y*z = -6 for z.
-2
Let b(l) = -l**2 + 10*l - 7. Let o be b(9). Solve 3*m = -o + 5 for m.
1
Let h = 0 + 3. Suppose w - 4 = -h*o - w, 2*w = -o + 8. Let v = o + 3. Solve -1 = -2*c + v for c.
1
Let p(r) be the second derivative of r**5/120 + 7*r**4/24 - r**3/3 + 3*r. Let z(g) be the second derivative of p(g). Let n be z(-5). Solve -n = w + 3 for w.
-5
Let u be (-1 + 4 + -7)/(-2). Solve -2 = -s + u for s.
4
Let m(a) = a + 2*a - 2*a + a**2 - 2*a. Let s be m(1). Suppose s = 2*u - 2 - 14. Solve b + b = -u for b.
-4
Let h(d) = -d**2 - 19*d - 13. Let o be h(-18). Solve -c = -o*c + 4 for c.
1
Let x = 13 - 1. Let s(z) = -3*z**2 + 14*z + 2. Let w(q) = -10*q**2 + 43*q + 7. Let n(c) = -7*s(c) + 2*w(c). Let k be n(x). Solve 3 = -k*b + b for b.
3
Let h be 8/6 + (-2)/(-3). Let v(o) = -o + o**h - o**2 + 0*o + o**2. Let l be v(3). Solve -l - 2 = 2*t for t.
-4
Let f(g) = 3*g - 12. Let p be f(5). Solve -p*d = -4*d + 1 for d.
1
Let h(z) = -z**2 - 10*z - 3. Let b be h(-7). Let w be 3/b - (-82)/12. Solve w = -s + 2 for s.
-5
Suppose 17 - 65 = -4*q. Solve 0*d + 3*d - q = 0 for d.
4
Suppose 3*p + 1 = -u + 22, -5*u + 40 = 2*p. Solve -u*j - 10 = -j for j.
-2
Let k(w) = w**2 - 2*w + 3. Let v be k(2). Let y(l) = l**3 - 6*l**2. Let d be y(6). Solve -s - v*s = d for s.
0
Let z(a) = -a**3 + 9*a**2 - 10*a + 1. Let k be z(8). Let q = k + 35. Solve 4*b = -b - q for b.
-4
Let t(o) = -o**3 - 6*o**2 - 8*o + 4. Let x be t(-4). Solve -13 = -x*y + 3 for y.
4
Let r = -20 - -22. Solve -2*g = -4 - r for g.
3
Suppose -3*f + 5*w = 15, 5*f - 2*f - 12 = -4*w. Let l = 14 - 9. Suppose -3*g = -10 - l. Solve f*a = -g*a for a.
0
Suppose 2*s = -4*y + 24, -2*s - y + 5 = -4. Solve 0 = -s*r - 2*r - 12 for r.
-3
Suppose -4*b = 3*z + 17, -6*z - 4*b = -5*z + 11. Let i = z + 5. Solve 0 = -3*f - i + 8 for f.
2
Suppose -4*a + 3*j = -59, -5*a - j = -39 - 30. Let v = a + -9. Solve -n + 2 = v for n.
-3
Suppose 2*n - 4*q - 119 = -n, 2*q = 2*n - 80. Solve 0 = -5*c - n + 16 for c.
-5
Let v = -1 - -3. Suppose 0 = 3*g + 5*f - 39, 2*g - v*f - 2*f - 4 = 0. Solve -5*n = -n + g for n.
-2
Suppose 7 = b + 4*a - 19, -4*a = 5*b - 50. Let j = -1 - 3. Let n = j + 6. Solve -b = -q - n*q for q.
2
Let b = 65 + -62. Solve -w - b = -2 for w.
-1
Let r be -4*9/(-12) + 4. Solve 2*i = r*i for i.
0
Let p(y) = y + 7. Let t be p(-5). Suppose 0 = t*k - 1 - 3. Let d = k - 2. Solve -4 = 4*l - d for l.
-1
Suppose -3*p + 2*p + 4 = 0. Suppose -p*y + 2 = -2*y + 4*k, -5*y - 4*k + 5 = 0. Solve -5*w = y + 9 for w.
-2
Let a(b) be the second derivative of -b**4/12 + 4*b**3/3 - 2*b**2 + 2*b. Let i be a(8). Let q be (-2)/i*0 - 0. Solve 0*y - 5*y = q for y.
0
Suppose 0*v - 4 = -v + 2*j, -j = 4*v - 7. Let z be ((-1)/v)/((-2)/4). Solve -2*i + z = -9 for i.
5
Suppose 0 = 2*j + 2*s, 2*j - 5*s - 18 = -2*j. Let g(k) = -3 + 5*k + k**2 + 0 - 5*k**2 + 5*k**j. Let w be g(-6). Solve w*y - 10 = 2 for y.
4
Suppose 0 = -3*c - 3*d + 3, 2*d = -2*c - d + 1. Suppose w = 4*b - c*w - 16, 0 = 2*w. Suppose 0 = -b*n - 4*f - 12, -4*n = 3*f - 2*f. Solve -n = -j - 0 for j.
1
Let d(m) = -m**3 - 7*m**2 + 8*m + 4. Let o be d(-8). Suppose 0*i + o = i + 2*f, -5*f = -5. Solve 0*v - i*v = 0 for v.
0
Let w(b) = b**3 + 9*b**2 - b - 6. Let q be w(-9). Solve p = -q*p for p.
0
Let b(y) = 4*y - 2. Let l be b(4). Let o = 26 - l. Solve -z = 2*z + o for z.
-4
Let c(q) = 10. Let u(d) = d + 11. Let l = -13 + 6. Let p(g) = l*c(g) + 6*u(g). Let t be p(4). Solve -5*m - t = -0*m for m.
-4
Let z(b) = b**2 - 6*b. Let k be z(6). Suppose -3 = -4*g + 5. Suppose 2*y + g - 10 = 0. Solve k*r + y = r for r.
4
Let h be ((-2)/(-5) + -2)/(20/(-50)). Solve 0*p - h = p for p.
-4
Let f = 1 - -1. Let k be ((-72)/(-40))/(3/10). Let u = 8 - k. Solve -u = -f*t + t for t.
2
Let n = -37 + 43. Let q(c) = c**3 + 1 - 1 + c**2. Let f be q(0). Solve 2*h = -f*h + n for h.
3
Suppose 3*b = -2*b - 25. Let v(x) = -x**3 - 6*x**2 - 6*x - 1. Let t be v(b). Solve t*l + 4 = 3*l for l.
-4
Let y = -56 + 57. Solve 0*s = s - y for s.
1
Let k(f) = -f**3 - 3*f**2 + 4*f - 1. Let r be k(-4). Let x(j) = -3*j - 1. Let y be x(r). Suppose -3*o - y*o = -10. Solve o = -4*u - 10 for u.
-3
Let j(h) = h + 9. Let a be j(-7). Let z(t) = 7*t**2 - 2*t**a - 1 + 0. Let i be z(1). Solve 0*n + 4 = i*n for n.
1
Let n(z) = -8*z - 14. Let w be n(-3). Solve 15*t - 17*t - w = 0 for t.
-5
Suppose 4*l + u - 13 = 0, -4*u = l - 7*u. Solve 5*w - l - 7 = 0 for w.
2
Suppose -2*j - 3*j = -25. Suppose -5*o + 0*o + 3 = -r, -j*r - 2*o = -39. Solve 0 = -2*s + r*s - 5 for s.
1
Suppose 11 = -5*s + 61. Let d = 12 - 4. Let u = s - d. Solve -u = -z + 1 for z.
3
Let k(i) = -2*i - 1. Let h(l) = l + 1. Let q(v) = 7*h(v) + 4*k(v). Let w be q(5). Let o = w + 6. Solve -4*g = 16 - o for g.
-3
Let f be 26/5 + (-11)/55. Solve -5*a + 20 = -f for a.
5
Let v(h) = -h**3 - 8*h**2 + 8*h - 7. Let w be v(-9). Solve -w*b + 8 = 2*b for b.
2
Suppose -u - 3*u + 21 = 5*o, -17 = 3*o - 5*u. Let q be (3 - 2) + (o - 0). Solve 0 = -q*r - 0*r - 4 for r.
-2
Suppose 134 = -5*q + 34. Let v be q/(-6) - (-8)/(-24). Suppose -2*s + v*s = 0. Solve 5*k + 5 + 0 = s for k.
-1
Let q be 6 + (-3 - (-4 - -3)). Suppose -g + q - 2 = 0. Solve -2 = 4*d + g for d.
-1
Let i(r) = r**2 - 7*r - 6. Let x be i(8). Suppose s + s = x. Solve 0 = 2*u - s - 1 for u.
1
Let i = -7 - -9. Suppose -i*b = -7*b. Solve -g + 3*g = b for g.
0
Let q be (5 - 28/8)*2. Solve -q = z - 1 for z.
-2
Let o(m) = m. Let b be o(4). Solve b*l = -l for l.
0
Let u be 6/2 + -12 + 11. Solve 0 = u*b + 6 for b.
-3
Let j(t) = -t**3 - t + 5. Let a be j(0). Solve -4 = -g + a*g for g.
-1
Let f(q) = q**2 - 5*q - 4. Let x be f(6). Let r = -4 + 4. Suppose y = -r*y + 2. Solve -12 + x = -y*i for i.
5
Suppose 0 = 4*l - | {
"pile_set_name": "DM Mathematics"
} |
next term in -2721388, -5442742, -8164096, -10885450, -13606804?
-16328158
What is next in 58987, 59340, 59693?
60046
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28159
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635225
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-7422
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86708
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3849
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432179987
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3961785
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28774965
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-5014
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8048
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-1494024625
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8829
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-461828
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665638819
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164813
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3051148
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-198
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2109299
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-1440328729
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-10855122
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10903861
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86902454
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-239852
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2678933
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-1309
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-36064
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-178393
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-88157
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-120037
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37129
What is next in 1610786, 1610788, 1610790?
1610792
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-2426
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-7538
What comes next: -1430, -10470, -34740, -81854, -159426, -275070, -436400, -651030?
-926574
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1865
What comes next: 317127, 317134, 317141?
317148
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-32820
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-2824538
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-1532119
What is the next term in -855099, -854801, -854503, -854205?
-853907
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-233231
What comes next: -179592, -359142, -538692, -718242, -897792, -1077342?
-1256892
What is the next term in -318, -1312, -2924, -5154, -8002, -11468, -15552?
-20254
What comes next: 16384, 23495, 35346, 51937, 73268, 99339?
130150
What is next in -35140, -44176, -53214, -62254, -71296, -80340?
-89386
What is next in -39828, -159096, -357784, -635892?
-993420
What is next in -9870, -18751, -27632, -36513?
-45394
What is the next term in 20922, 41920, 62930, 83958, 105010, 126092, 147210?
168370
What is the next term in -66989, -67007, -67025?
-67043
What is the next term in 73424, 146832, 220244, 293660, 367080, 440504?
513932
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55633
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13805
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5689940
What comes next: 1879, 2037, 2173, 2275, 2331, 2329, 2257, 2103?
1855
What is the next term in -19566333, -19566338, -19566343, -19566348?
-19566353
What comes next: 36, 910, 3284, 7902, 15508, 26846, 42660?
63694
What is the next term in 4745, 37925, 127979, 303341, 592445, 1023725?
1625615
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64432
What is the next term in 1844, 2199, 2762, 3527, 4488?
5639
What comes next: 30202, 35618, 41034, 46450, 51866, 57282?
62698
What is the next term in 46029, 92243, 138457, 184671, 230885?
277099
What is next in 152603, 153029, 153459, 153893, 154331?
154773
What is next in -177034, -176716, -176400, -176086, -175774?
-175464
What is next in -1703, -3386, -5045, -6686, -8315, -9938, -11561?
-13190
What is the next term in -68219983, -68219978, -68219973, -68219968?
-68219963
What is the next term in 1832, 5263, 8694, 12125, 15556?
18987
What is the next term in -157830, -315470, -473112, -630756, -788402, -946050, -1103700?
-1261352
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-651951
What comes next: -72771, -73911, -75047, -76179, -77307, -78431, -79551?
-80667
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9690
What is next in 603, 2721, 6241, 11151, 17439, 25093, 34101?
44451
What is next in -24889581, -49779158, -74668735, -99558312, -124447889, -149337466?
-174227043
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-78349
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-3739
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-2632537
What is next in -22209, -22221, -22251, -22299, -22365, -22449, -22551?
-22671
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-177167
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6604673
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-98776236
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-734473
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56340
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-2847
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-14094
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-233693
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11919
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-25782
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-20493
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8531
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4941272
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78666
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106505
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-280824
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-8710
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-337157446
What comes next: -64577225, -64577226, -64577227, -64577228, -64577229?
-64577230
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462033
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-2036
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1215242
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101
What comes next: -497, -422, -247, 28, 403?
878
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3353952
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61978
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-80282
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-27055412
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707653793
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-452188085
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97385311
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-15181
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5866026
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9013320
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46434
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42511246
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17591
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-153941
What comes next: 253273 | {
"pile_set_name": "DM Mathematics"
} |
t is the t'th term of 209, 413, 615, 815?
-t**2 + 207*t + 3
What is the m'th term of -757, -1518, -2277, -3034, -3789, -4542?
m**2 - 764*m + 6
What is the o'th term of -81, -96, -113, -132, -153?
-o**2 - 12*o - 68
What is the z'th term of -26, -70, -136, -218, -310, -406?
z**3 - 17*z**2 - 10
What is the v'th term of 9, 18, 43, 90, 165, 274, 423, 618?
v**3 + 2*v**2 - 4*v + 10
What is the r'th term of -317, -630, -941, -1250, -1557, -1862, -2165?
r**2 - 316*r - 2
What is the p'th term of 612, 1203, 1806, 2427, 3072, 3747, 4458?
p**3 + 584*p + 27
What is the j'th term of -378, -382, -394, -420, -466?
-j**3 + 2*j**2 - 3*j - 376
What is the w'th term of -1702, -3407, -5112?
-1705*w + 3
What is the h'th term of 3708, 3701, 3694, 3687, 3680?
-7*h + 3715
What is the w'th term of 50, 91, 132, 173, 214?
41*w + 9
What is the f'th term of 39, 87, 131, 171, 207?
-2*f**2 + 54*f - 13
What is the v'th term of -141, -302, -463, -624?
-161*v + 20
What is the c'th term of -3348, -3352, -3358, -3366?
-c**2 - c - 3346
What is the c'th term of -32, -78, -160, -284, -456, -682?
-c**3 - 12*c**2 - 3*c - 16
What is the x'th term of 118, 196, 290, 406, 550, 728?
x**3 + 2*x**2 + 65*x + 50
What is the m'th term of -329, -330, -331, -332?
-m - 328
What is the y'th term of 155, 315, 475?
160*y - 5
What is the s'th term of 2037, 4073, 6113, 8157, 10205, 12257, 14313?
2*s**2 + 2030*s + 5
What is the l'th term of 16, 34, 60, 100, 160, 246, 364?
l**3 - 2*l**2 + 17*l
What is the k'th term of -655, -657, -661, -667, -675?
-k**2 + k - 655
What is the l'th term of 135, 269, 403, 537, 671?
134*l + 1
What is the g'th term of 341, 328, 305, 266, 205, 116, -7?
-g**3 + g**2 - 9*g + 350
What is the j'th term of 596, 2349, 5276, 9383, 14676, 21161, 28844?
j**3 + 581*j**2 + 3*j + 11
What is the s'th term of 100, 101, 102, 103, 104?
s + 99
What is the s'th term of 8, 8, 18, 44, 92?
s**3 - s**2 - 4*s + 12
What is the x'th term of -8414, -8423, -8446, -8489, -8558, -8659?
-x**3 - x**2 + x - 8413
What is the m'th term of -595, -591, -585, -577, -567, -555, -541?
m**2 + m - 597
What is the c'th term of 81, 144, 199, 240, 261, 256, 219?
-c**3 + 2*c**2 + 64*c + 16
What is the k'th term of 169, 170, 171, 172?
k + 168
What is the a'th term of 34, 67, 104, 145?
2*a**2 + 27*a + 5
What is the z'th term of -82, -84, -96, -124, -174, -252?
-z**3 + z**2 + 2*z - 84
What is the r'th term of 27, 80, 133, 186, 239?
53*r - 26
What is the r'th term of 51, 186, 405, 702, 1071, 1506?
-r**3 + 48*r**2 - 2*r + 6
What is the l'th term of 83, 151, 219?
68*l + 15
What is the r'th term of -410, -404, -396, -386?
r**2 + 3*r - 414
What is the i'th term of 777, 1552, 2327?
775*i + 2
What is the g'th term of 0, 0, -2, -6?
-g**2 + 3*g - 2
What is the u'th term of -64, -59, -52, -43, -32?
u**2 + 2*u - 67
What is the s'th term of -23, -43, -63, -83?
-20*s - 3
What is the l'th term of 106, 81, 50, 13?
-3*l**2 - 16*l + 125
What is the r'th term of 143, 285, 429, 575, 723?
r**2 + 139*r + 3
What is the a'th term of -33, -112, -237, -402, -601, -828?
a**3 - 29*a**2 + a - 6
What is the u'th term of 9, 37, 81, 141, 217, 309, 417?
8*u**2 + 4*u - 3
What is the k'th term of 10, -4, -24, -50, -82, -120?
-3*k**2 - 5*k + 18
What is the h'th term of 81, 208, 381, 600, 865, 1176, 1533?
23*h**2 + 58*h
What is the c'th term of 21, 39, 69, 111, 165, 231?
6*c**2 + 15
What is the c'th term of -23, -29, -25, -5, 37?
c**3 - c**2 - 10*c - 13
What is the l'th term of 12, 160, 560, 1338, 2620, 4532?
21*l**3 + l - 10
What is the s'th term of 20, 21, 30, 47?
4*s**2 - 11*s + 27
What is the m'th term of 8, 20, 36, 56, 80?
2*m**2 + 6*m
What is the k'th term of 121, 114, 107, 100?
-7*k + 128
What is the j'th term of -137, -135, -133, -131?
2*j - 139
What is the m'th term of 33, 60, 101, 156, 225, 308?
7*m**2 + 6*m + 20
What is the s'th term of 44, 84, 122, 158, 192, 224?
-s**2 + 43*s + 2
What is the s'th term of 23, 61, 121, 215, 355?
2*s**3 - s**2 + 27*s - 5
What is the x'th term of 2767, 2772, 2779, 2788?
x**2 + 2*x + 2764
What is the v'th term of 60, 75, 90, 105, 120, 135?
15*v + 45
What is the m'th term of -58, -172, -286, -400, -514?
-114*m + 56
What is the i'th term of -31, -42, -65, -106, -171?
-i**3 - 4*i - 26
What is the r'th term of -6, -9, -2, 21, 66, 139?
r**3 - r**2 - 7*r + 1
What is the j'th term of 51, 45, 39, 33?
-6*j + 57
What is the p'th term of -165, -349, -531, -711, -889, -1065, -1239?
p**2 - 187*p + 21
What is the a'th term of -44, -110, -184, -266, -356, -454, -560?
-4*a**2 - 54*a + 14
What is the l'th term of -3203, -6411, -9621, -12833, -16047, -19263, -22481?
-l**2 - 3205*l + 3
What is the n'th term of 717, 2851, 6409, 11391?
712*n**2 - 2*n + 7
What is the u'th term of -44, -51, -62, -77, -96?
-2*u**2 - u - 41
What is the q'th term of -12, -132, -472, -1146, -2268?
-19*q**3 + 4*q**2 + q + 2
What is the c'th term of 49, 87, 125, 163?
38*c + 11
What is the a'th term of -23, -77, -161, -269, -395, -533, -677, -821?
a**3 - 21*a**2 + 2*a - 5
What is the z'th term of 9, 20, 35, 54, 77, 104?
2*z**2 + 5*z + 2
What is the a'th term of -1, 10, 37, 86, 163, 274?
a**3 + 2*a**2 - 2*a - 2
What is the t'th term of 16214, 16202, 16176, 16130, 16058?
-t**3 - t**2 - 2*t + 16218
What is the h'th term of 3079, 3080, 3081, 3082, 3083?
h + 3078
What is the l'th term of -106, -152, -230, -340, -482?
-16*l**2 + 2*l - 92
What is the q'th term of -119, -248, -377, -506, -635?
-129*q + 10
What is the w'th term of -31, 8, 79, 188, 341, 544?
w**3 + 10*w**2 + 2*w - 44
What is the s'th term of -8, -110, -392, -944, -1856, -3218, -5120?
-15*s**3 + 3*s + 4
What is the u'th term of -171, -181, -191, -201, -211?
-10*u - 161
What is the q'th term of -16, -78, -182, -328, -516, -746?
-21*q**2 + q + 4
What is the c'th term of 200, 404, 610, 818, 1028, 1240, 1454?
c**2 + 201*c - 2
What is the u'th term of 2668, 2670, 2674, 2680, 2688, 2698, 2710?
u**2 - u + 2668
What is the c'th term of 1386, 1382, 1374, 1362?
-2*c**2 + 2*c + 1386
What is the o'th term of -131, -130, -125, -110, -79, -26, 55?
o**3 - 4*o**2 + 6*o - 134
What is the a'th term of -59, -56, -51, -44, -35, -24, -11?
a**2 - 60
What is the j'th term of 5, -2, -23, -64, -131, -230, -367, -548?
-j**3 - j**2 + 3*j + 4
What is the c'th term of 647, 1296, 1945, 2594?
649*c - 2
What is the f'th term of 151, 145, 127, 91, 31, -59, -185?
-f**3 + f + 151
What is the o'th term of 11, 25, 57, 113, 199, 321, 485, 697?
o**3 + 3*o**2 - 2*o + 9
What is the k'th term of 169, 335, 501, 667?
166*k + 3
What is the l'th term of 14, 72, 234, 554, 1086?
9*l**3 - 2*l**2 + l + 6
What is the y'th term of 2987, 2986, 2985, 2984, 2983?
-y + 2988
What is the k'th term of 26, 69, 112, 155, 198?
43*k - 17
What is the u'th term of -46, 20, 196, 536, 1094, 1924?
9*u**3 + u**2 - 56
What is the s'th term of -948, -1899, -2850, -3801?
-951*s + 3
What is the w'th term of 1019, 1017, 1015, 1013?
-2*w + 1021
What is the i'th term of 57, 114, 171?
57*i
What is the d'th term of 15, 40, 67, 96, 127, 160, 195?
d**2 + 22*d - 8
What is the t'th term of 217, 318, 417, 514?
-t**2 + 104*t + 114
What is the q'th term of -10, 21, 52, 83, 114?
31*q - 41
What is the x'th term of -4166, -4159, -4150, -4139, -4126, -4111, -4094?
x**2 + 4*x - 4171
What is the a'th term of -4, 2, 12, 26, 44, 66?
2*a**2 - 6
What is the j'th term of 36, 64, 96, 132?
2*j**2 + 22*j + 12
What is the l'th term of 143, 591, 1337, 2381, 3723?
149*l**2 + l - 7
What is the h'th term of 72, 126, 184, 246, 312, 382, 456?
2*h**2 + 48*h + 22
What is the l'th term of 190, 177, 154, 115, 54, -35, -158?
-l**3 + l**2 - 9*l + 199
What is the d'th term of 50, 105, 196, 341, 558, 865, 1280, 1821?
3*d**3 + 34*d + 13
What is the r'th term of -16, -162, -558, -1330, -2604, -4506, -7162?
-21*r**3 + r**2 - 2*r + 6
What is the z'th term of 217, 429, 631, 817, 981, 1117?
-z**3 + z**2 + 216*z + 1
What is the v'th term of 2781, 2779, 2775, 2769, 2761, 2751, 2739?
-v**2 + v + 2781
What is the z'th term of -2, 5, 12?
7*z - 9
What is the g'th term of -195, -380, -563, -744?
g**2 - 188*g - 8
What is the d'th term of -11, -15, -19, -23?
-4*d - 7
What is the w'th term of 56, 106, 156?
50*w + 6
What is the h'th term of 8718, 8713, 8704, 8691, 8674?
-2*h**2 + h + 8719
What is the c'th term of 29, 61, 115, 191?
11 | {
"pile_set_name": "DM Mathematics"
} |
s = -3 - -2.7. Let i = 563 - 564. Let o be i + (-11)/(-13) + 34/52. Sort s, o, 1.
s, o, 1
Let l = 10177 - 10144.072. Let h = l - -0.072. Let i = h + -32.9. Sort 0.3, -1/8, i in ascending order.
-1/8, i, 0.3
Let j = 81 + -72. Suppose -k = -5*b - 6, -2*b - 16 = -0*k + 3*k. Put b, j, -1, 0 in descending order.
j, 0, -1, b
Let n = -73.3 + 73.237. Let d(f) = -f**2 + 2*f + 200. Let t be d(15). Sort 3, t, n.
n, 3, t
Suppose -100*x + 100 = -300. Sort 1.3, 82, x in descending order.
82, x, 1.3
Suppose 3*a - 16*a = 10*a. Let t(f) = f**3 - 10*f**2 - 10*f - 10. Let k be t(11). Suppose -k + 19 = -3*u. Sort 5, a, u in descending order.
5, a, u
Let r = 24 + -21. Suppose 0 = 5*n + 3*m - 12, r*m = 2*n + 11 + 1. Let x = 5 - 2. Put -4, n, -5, x in decreasing order.
x, n, -4, -5
Let i = 640/7 - 2857/35. Sort -2/5, -1.2, i, 1/9 in increasing order.
-1.2, -2/5, 1/9, i
Let m(x) = -x**2 - 10*x - 13. Let z be m(-8). Suppose z*y - 163 = f, 4*y + 15 - 3 = 0. Let k = f + 2578/15. Sort 0, 1, k, -3 in descending order.
1, 0, k, -3
Let d = 0.033 + 779.967. Let l = d + -785. Sort l, -3/4, 2/3.
l, -3/4, 2/3
Let k be (-4)/(-72)*88/(-198)*9/2. Put k, 0.05, 38 in ascending order.
k, 0.05, 38
Let y(m) = -367*m - 8072. Let u be y(-22). Sort 3, u, -40, -5 in decreasing order.
3, u, -5, -40
Let d = 0.6352 - 0.8352. Put d, 3, -257 in decreasing order.
3, d, -257
Let t(s) = 11*s - 48. Let z be t(6). Suppose -4 = -c - 2, 4*i - 5*c + z = 0. Let w be (4 + 0 + -1)*1. Put i, -4, w, -3 in descending order.
w, i, -3, -4
Let z(m) = -m**3 + 47*m**2 + 5. Let p be z(0). Sort p, -2, -2/3 in descending order.
p, -2/3, -2
Let t(l) = l**3 + 211*l**2 - 871*l - 2357. Let y be t(-215). Let r = 0 - -1. Put y, r, 3 in increasing order.
r, 3, y
Let l = 0.9246 - 0.9046. Put 1/3, l, -1/23 in ascending order.
-1/23, l, 1/3
Let a = -857 + 983. Suppose -14*v + 0*v = -a. Sort 4, -3, v, -0.3 in ascending order.
-3, -0.3, 4, v
Suppose a + 13 = -5*h, -10 = 925*h - 926*h + 4*a. Sort 0, 4, 3, -4, h in descending order.
4, 3, 0, h, -4
Let s be 13/(234/(-10))*22/55. Let t = -1 + 1.5. Put -0.1, s, t, -4 in decreasing order.
t, -0.1, s, -4
Let v = 7.99 - 10.99. Let s be 4/12*9*(-2)/4. Put s, -4, 3, v in decreasing order.
3, s, v, -4
Let w = -184 - -12. Let x = -171 - w. Put 5, x, -10 in increasing order.
-10, x, 5
Let b = -38730253/285 + 135896. Let i = b + -4/95. Put i, 1, 2/3, 0.05 in descending order.
1, 2/3, i, 0.05
Suppose 0 = -3*i + 2 + 1. Let x be i/(-4)*(-8)/6. Let s = 450.35 + -450.85. Sort x, -4, 3/7, s.
-4, s, x, 3/7
Let l = -34 - -19. Let m = l + 10.9. Let z = 4.03 + m. Sort 1/6, z, -1 in descending order.
1/6, z, -1
Let d(b) = -2*b**2 - 120*b + 2617. Let h be d(17). Put -31, h, 0, 5, -2 in increasing order.
-31, -2, h, 0, 5
Let i(r) = -r**3 + 5*r**2 - 3*r - 5. Let f be i(4). Suppose 47*l - 578 + 672 = 0. Put l, -3, f, -11 in ascending order.
-11, -3, l, f
Let m = 2089 + -902449/432. Sort -5, -1, m in decreasing order.
m, -1, -5
Let j = 8.7 + -8.9. Let h be ((-3)/(-21))/((-2)/(-7)). Sort h, 2/127, j in decreasing order.
h, 2/127, j
Suppose -i + 482 = 4*g, 2*g - 712 = -2*i + 234. Let p be (i/75 + -6)*(-2)/4. Sort p, -0.3, -2/7 in ascending order.
-0.3, -2/7, p
Let m(w) = -308*w + 6457. Let l be m(21). Put -3, -1, -4, -6, l in decreasing order.
-1, -3, -4, -6, l
Suppose -4*b + 23 + 10 = -x, -3*x = 3. Suppose 4*i - b - 4 = 0. Suppose 2*p - i = 3*p. Sort p, -2, -1.
p, -2, -1
Let u = -12637.3 + 12637. Sort 1/4, 1, u, 17 in decreasing order.
17, 1, 1/4, u
Let h be (1 - 6)*216/360. Suppose -4*u + 2*a = -0*u + 18, a = 5. Put u, -1, h, 3 in descending order.
3, -1, u, h
Let n = 122.62 + -122. Let y = n - -0.3. Put y, -1/6, 0 in descending order.
y, 0, -1/6
Let j = 3205 - 3179. Let h = -44 - -47. Put 0, j, h in increasing order.
0, h, j
Let c = -12276 + 12274. Put -1, 0, 1, c, 41 in increasing order.
c, -1, 0, 1, 41
Suppose 4*u + 56 = -24. Suppose -10*a + a + 45 = 0. Suppose a*m - 6 = 3*m. Sort u, 0, 5, m in ascending order.
u, 0, m, 5
Suppose -4*w - 3*f + 15 + 0 = 0, 5*w + 3*f - 15 = 0. Let r be w + -2 + 0 + 0. Sort -5, -1, r in decreasing order.
-1, r, -5
Suppose -15 - 5 = -2*g - 3*d, 0 = -g - 4*d + 10. Suppose 0 = -g*p + 9*p + 4*o - 47, -4*p = -5*o + 199. Sort p, -2, -1, 1 in ascending order.
p, -2, -1, 1
Let o(i) = 65*i - 845. Let x be o(13). Suppose 6*r - 15 = r. Sort 45, r, x.
x, r, 45
Let h = 39777/4 - 9939. Sort h, 1/4, -5 in ascending order.
-5, 1/4, h
Let c = 0.005 + 2.785. Let z = c + 0.21. Let i = -0.11 - -5.11. Sort z, i, -1/2, -2.
-2, -1/2, z, i
Let r = -5 - -8. Suppose -19 = 6*j - 19. Put r, 2, j, 1 in decreasing order.
r, 2, 1, j
Let l = -12974 - -12976. Put -3, 6, l, 5, 13 in decreasing order.
13, 6, 5, l, -3
Let t(z) = -14*z**3 + 111*z**2 + 6*z + 12. Let f be t(8). Put f, -2, -32 in decreasing order.
-2, f, -32
Suppose -3*c = -3*h - 126, 0 = -4*c - 3*h - 1 + 134. Suppose 4*o = -3*i + 126, -3*i - c = -o - i. Suppose -5*w - 13 = -o. Sort -3, w, 0.
-3, 0, w
Suppose 4*t - 358 = 3*v, 137*v - 132*v - 4*t = -610. Let z be ((-4)/14)/((-1854)/v - 15). Let h be 2/6 - 10/3. Sort 3, h, z in decreasing order.
3, z, h
Let d = -1700 + 8473/5. Put -1, d, -0.2 in ascending order.
d, -1, -0.2
Suppose 436*h + 661 = -647. Sort -120, h, -20.
-120, -20, h
Let s = -0.1013 - 5.8987. Let t = 5.2 + -4.7. Put s, 4, t, -2 in increasing order.
s, -2, t, 4
Let u = -1.63 - -1.7. Let m = -36.098 - -36.298. Put u, 0.6, m, -5 in decreasing order.
0.6, m, u, -5
Let f = 0 + 1. Let v = -3911/9 - -435. Let c be ((-27192)/825 + 33)*-10. Put c, 0, f, v in ascending order.
c, 0, v, f
Suppose 2*a = 12*s + 4, s + 2*a - 6 = -a. Put 3, 2, 39, s in decreasing order.
39, 3, 2, s
Let i = -431.8 - -514. Let u = 82 - i. Let l be (-2)/9 + (-33)/(-27). Sort u, -4/11, l in ascending order.
-4/11, u, l
Let s(h) = 19*h + 12. Let t be s(-3). Let y = 49 + t. Suppose y*c + 0*c + 26 = -2*p, -31 = 4*c + 3*p. Sort 2, -3, c in descending order.
2, -3, c
Suppose -4*w - 12 = -4*c - 32, 10 = -4*c + 2*w. Let n be 9/(54/12) + 11. Sort 1, n, -3, c in increasing order.
-3, c, 1, n
Let z be (-24)/(-40)*(-10)/6. Let i = -0.3 - 29.7. Put i, z, 0.5, 1 in descending order.
1, 0.5, z, i
Let b = 2.9312 - 0.0362. Let w = b - -0.105. Let f = -0.05 + -2.95. Sort w, -0.2, f in increasing order.
f, -0.2, w
Suppose 24 = 5*v + v. Let u = 5452 - 5456. Sort v, 0.02, -1, u in ascending order.
u, -1, 0.02, v
Let w be (-18)/(-45)*(-10)/(-4)*88. Sort -3, w, 2, 0, -2 in decreasing order.
w, 2, 0, -2, -3
Let k = -10 + 6. Suppose -w - 3*i - 2*i = 15, 4*w + 14 = 3*i. Let t(l) = 5*l + 30. Let b be t(w). Sort k, -5, b in ascending order.
-5, k, b
Suppose 0 = r + 6*r - 91. Suppose r*i = 9*i + 140. Let q be (-3)/9 + i/(-84). Sort 5, q, 1 in decreasing order.
5, 1, q
Suppose -6*a + 2*a = 36. Let d = 22 + a. Suppose 5*x - 2*b - 29 = b, -b = 4*x - d. Sort -3, x, 0, 3 in decreasing order.
x, 3, 0, -3
Suppose 0 = -8*g + 3*g + 10. Let w = -72573 + 798965/11. Let z = 60 - w. Sort g, -0.5, 0.5, z.
-0.5, z, 0.5, g
Let o = -76.0299 - -0.0299. Put -0.2, o, 1/2 in decreasing order.
1/2, -0.2, o
Let p = -3 - -4. Let f = 25 - -35. Let i = f + -62. Put -4, i, p in decreasing order.
p, i, -4
Suppose 5*a = 40 + 37 - 97. Let x(r) = -r**3 - 4*r**2 + r + 3. Let t be x(-4). Sort a, 5, -3, t.
a, -3, t, 5
Let t = 0.03 - 1.03. Let p = -206 - -157.5. Let o = -48 - p. Sort t, 0, o in descending order.
o, 0, t
Let w = 0.314 - -10.566. Let t = 14.4 - w. Let a = t + 0.48. Put 1, a, -7 in decreasing order.
a, 1, -7
Let a = 25012 - 25009. Sort 4, -32, 0, a in ascending order.
-32, 0, a, 4
Let a = -128.8 - -123.8. Let v = -23.3 - -3.3. Let l = v + 19.98. Sort -4/3, l, a, 1.
a, -4/3, l, 1
Let c = 3857.29 - 3857. Let m = 1.19 - 0.4. Let k = c - m. Put -5, -1/8, k in decreasing order.
-1/8, k, -5
Suppose d - k + 1 = 3, 4*k = -d + 7. Let c(v) = -v**3 + 5*v**2 + 7*v - 2. Let z be c(6). Put 1, z, d, -5 in decreasing order.
z, d, 1, -5
Suppose 42*p = 54*p - 228. Let h be 2 - (4 + 1 + -10)/(-1). Sort -2, h, p in decreasing order.
p, -2, h
Let d = -304248103 + 158817458159/522. Let x = d + 1223/58. Let s = x - -78. Sort 3, -0.4, s, -9 in decreasing order.
3, s, -0.4, -9
Let s be 55/25 - (-2911)/(-355). Let m be (-1)/(-3)*3 - 2. Sort 2/5, s, 0.5, m in ascending order.
s, m, 2/5, 0.5
Let o = 206.3 - 231.3. Sort -2, -8/5, o in desce | {
"pile_set_name": "DM Mathematics"
} |
s the third derivative of x(k) wrt k?
456
Let h(r) be the first derivative of -3*r**8/14 + 10*r**4/3 + r + 41. Let n(p) be the first derivative of h(p). Find the third derivative of n(x) wrt x.
-1440*x**3
Let j(u) = 6*u**3 - 9*u**2 + 18*u - 1. Let w(c) = -13*c**3 + 17*c**2 - 35*c + 2. Let t(k) = -5*j(k) - 2*w(k). Find the second derivative of t(y) wrt y.
-24*y + 22
Let g = 61 - 24. Suppose 0 = i + 2*i - 5*q - 49, -3*i - q = -g. Differentiate 13*t**2 - 2 - t**4 + 0 - i*t**2 wrt t.
-4*t**3
Let m be ((-1 + -1)/2)/((-11)/22). Let j(f) = -20*f - 48. Let l(s) = 5*s + 12. Let o(z) = m*j(z) + 9*l(z). Differentiate o(k) with respect to k.
5
Let b(v) be the third derivative of v**7/210 + v**6/8 - 83*v**3/3 - 5*v**2 + 18. Find the first derivative of b(r) wrt r.
4*r**3 + 45*r**2
Let w(z) be the second derivative of -59*z**3/3 - 76*z**2 + 10*z + 6. Find the first derivative of w(a) wrt a.
-118
Let o(a) be the third derivative of a**7/210 + a**5/3 + 28*a**3 - a**2 - 26*a. Find the first derivative of o(m) wrt m.
4*m**3 + 40*m
Let h(k) be the first derivative of k**3 + 3 + 0*k + 5/2*k**2 - 1/4*k**4. Let n(u) be the second derivative of h(u). What is the first derivative of n(y) wrt y?
-6
Let p(q) be the first derivative of 16*q**4 - 2*q**3/3 + 11*q**2 - 42. What is the third derivative of p(o) wrt o?
384
Let y(z) = 6*z**4 - 5*z**3 + 6*z**2 + 31*z. Let s(l) = 8*l**4 - 4*l**3 + 9*l**2 + 32*l. Let r(c) = 2*s(c) - 3*y(c). What is the second derivative of r(d) wrt d?
-24*d**2 + 42*d
Suppose 4*r - 2*r + 3*c = 9, -3*r - 5*c + 14 = 0. What is the second derivative of -7*m**3 - 8*m + m + 6*m**3 - 3*m**r wrt m?
-24*m
Let t(a) be the second derivative of 124*a**5/5 + a**3/6 + 178*a**2 + 36*a - 1. Find the second derivative of t(j) wrt j.
2976*j
Let r(m) be the first derivative of -9/5*m**5 + 6*m + 0*m**4 - 11 + 0*m**3 + 0*m**2. What is the derivative of r(c) wrt c?
-36*c**3
Suppose 19 = 6*i + 7. What is the second derivative of -17*l - 2*l**i + 2*l**2 - 8*l**3 + 0*l wrt l?
-48*l
Let q(d) be the first derivative of 11*d**5/5 + d**4 + 162*d - 94. Find the first derivative of q(s) wrt s.
44*s**3 + 12*s**2
Find the second derivative of 5 - 122*g - 985*g**3 - 15 + 9 + 1 wrt g.
-5910*g
Suppose 4*h - 143 = f, 2*h - 2*f - 64 = -0*f. Differentiate 7*d**3 - 5 - 37*d + h*d wrt d.
21*d**2
Let l(s) be the first derivative of -s**6/360 - 3*s**5/20 - 5*s**3/3 + 21. Let p(h) be the third derivative of l(h). Find the second derivative of p(o) wrt o.
-2
Let h = 3 - -1. Let s be h/(-22) - (-264)/121. What is the derivative of -4 + s + 3 + 5*i wrt i?
5
Let b(q) = -q**3 + 23*q**2 - 20*q + 28. Let g be b(18). What is the second derivative of 3*l - 1253*l**3 + g*l**3 + l wrt l?
210*l
Let d(h) = 63*h**2 + 3*h - 7. Let i(c) = -102*c**2 - c + 81*c**2 + 5 - 3. Let s(w) = 2*d(w) + 7*i(w). What is the second derivative of s(x) wrt x?
-42
Let s = 0 - -1. What is the derivative of s + 28 + p**4 + 15*p**4 wrt p?
64*p**3
Let p(o) be the first derivative of -309*o**2/2 + 69*o + 258. Find the first derivative of p(z) wrt z.
-309
Let n = 82 + -72. What is the second derivative of 66*t - 141*t + n*t**4 + 41*t wrt t?
120*t**2
Let a(n) be the third derivative of n**8/336 + 19*n**5/60 + n**4/8 - 68*n**3/3 + 2*n**2 + 30*n. What is the second derivative of a(u) wrt u?
20*u**3 + 38
Let x(i) be the second derivative of 0*i**6 + 0*i**5 + 0*i**2 + 13/6*i**3 + 0 + 5/42*i**7 + 2*i + 0*i**4. Find the second derivative of x(n) wrt n.
100*n**3
Suppose -3*z = -z - 6. Let u(i) = 3*i**2 - i - 1. Let a be u(-1). Find the second derivative of 3*w**3 + z*w**3 + 2*w + a*w**3 - 2*w**3 wrt w.
42*w
Let z = 134 + -96. What is the derivative of -y**2 - 59*y + 11*y**2 - z + 59*y wrt y?
20*y
Let n(c) be the third derivative of -37*c**2 + 35/6*c**3 + 0*c**4 + 1/2*c**5 + 0 + 0*c. Differentiate n(k) wrt k.
60*k
Let g = 21 + -19. What is the third derivative of x**4 - 4*x**g + x**6 - 2*x**4 + 6*x**2 + 7 + x**2 wrt x?
120*x**3 - 24*x
Let t(i) = i**3 - i**2 - 5*i + 2. Let c be t(3). Let u be c - 3 - (1 + -2). Find the third derivative of -s**2 + 2*s**2 - 4*s**u + 3*s**3 + 0*s**3 wrt s.
-6
Let t(n) be the second derivative of n**6/2 - n**4/3 + 9*n**3 + 142*n. Find the second derivative of t(x) wrt x.
180*x**2 - 8
Let i be 16/(-5)*(-15)/6. Let t be (1*-8)/(i/(-40)). Find the second derivative of 19*l - t*l + 15*l + 4*l**3 wrt l.
24*l
Let f = -77 + 79. What is the third derivative of -57*k**2 + 2 - 2 - 13*k**4 + 56*k**f wrt k?
-312*k
Let f(n) be the second derivative of 0*n**2 - 24*n + 5/6*n**3 + 11/6*n**4 + 0. Find the second derivative of f(o) wrt o.
44
Let l(g) be the third derivative of -34*g**7/35 + 13*g**5/10 - 18*g**2. What is the third derivative of l(s) wrt s?
-4896*s
Let k(p) be the second derivative of 2*p**7/3 - 2*p**3/3 - 9*p**2 - 76*p. What is the second derivative of k(b) wrt b?
560*b**3
Let b(d) be the first derivative of 0*d**4 + 12/5*d**5 - 25 + 0*d**3 + 0*d - 10*d**2. Find the second derivative of b(r) wrt r.
144*r**2
Suppose 0 = 10*n - 6*n. Suppose 2*r + 2*r - 8 = n. Find the second derivative of 2 - v**r - 2 - 6*v + 7*v**2 wrt v.
12
Differentiate -14*n**3 - 346 + 25*n**3 - 120*n**4 - 59*n**4 - 11*n**3 wrt n.
-716*n**3
Let t(j) be the third derivative of j**6/30 + 11*j**5/20 - 299*j**4/24 - j**3/3 - 29*j**2 + 3. Find the second derivative of t(m) wrt m.
24*m + 66
Find the second derivative of -324*o + 166*o - 3*o**2 - o**3 + 159*o - 34 wrt o.
-6*o - 6
Let q = 11 + -8. Let l be (-2 + -1 - -2) + q. Find the second derivative of -3*k**3 + 1 - l + 2*k + 1 wrt k.
-18*k
Let u(c) be the first derivative of 23*c**6/60 + c**3/2 - c**2/2 + 14*c - 18. Let f(o) be the second derivative of u(o). What is the derivative of f(w) wrt w?
138*w**2
Let n(s) = -79*s**3 - 5*s**2 + 161*s - 4. Let x(g) = 119*g**3 + 7*g**2 - 242*g + 6. Let p(v) = -7*n(v) - 5*x(v). What is the second derivative of p(r) wrt r?
-252*r
Let p = -2 - 6. Let z = p + 7. Let d(l) = -l**2 + 2. Let u(t) = t**2 - t + 1. Let q(x) = z*d(x) + 2*u(x). Find the second derivative of q(j) wrt j.
6
Suppose 2*n + 4 = 2*r, 6 = -n + 5*r - 4. Let v(j) be the second derivative of -1/12*j**4 + n + 4*j + 0*j**3 + 3/2*j**2. Differentiate v(t) wrt t.
-2*t
Suppose -4*x - 20 + 28 = 0. What is the derivative of -3*y**2 + 3*y**2 + 252 + 2*y - 220 - y**x wrt y?
-2*y + 2
Let s(f) be the second derivative of 4/3*f**4 + 0*f**3 + 0 + 11*f + 0*f**6 - 1/14*f**7 + 0*f**5 + 0*f**2. What is the third derivative of s(h) wrt h?
-180*h**2
Let c(x) = 15*x**2 - 5*x + 52. Let h(a) = -13*a**2 + 5*a - 54. Let s(o) = 6*c(o) + 7*h(o). Find the first derivative of s(j) wrt j.
-2*j + 5
Suppose -3*o - 4 = -4*o. Suppose 8*h - 4*h - 36 = 0. What is the first derivative of 5*a**o - a + a - h*a**4 + 2 wrt a?
-16*a**3
Find the first derivative of -206*a**4 - 7*a**2 + 6*a**2 + 65 + 194*a**4 wrt a.
-48*a**3 - 2*a
Let x = -42 - -42. Let y(i) be the third derivative of -4*i**2 + x*i + 0 + 0*i**5 + 0*i**3 + 1/6*i**4 - 1/120*i**6. Find the second derivative of y(z) wrt z.
-6*z
Let f = -236 + 239. Let b(r) be the second derivative of 1/2*r**f + 0 - 7*r - 5/2*r**2. Differentiate b(m) wrt m.
3
Let v = 31 - 29. What is the third derivative of -22*n**4 + 14*n**4 + v*n**2 - 21*n**4 wrt n?
-696*n
Let l = -3 + 5. Let f be 8/(-10)*(-15)/l. What is the first derivative of -5*t - 2 + 9*t - f*t wrt t?
-2
Let s(t) be the third derivative of 3 + 0*t**3 + 4/15*t**6 + t**4 + 5*t**2 + 0*t + 0*t**5. What is the second derivative of s(f) wrt f?
192*f
Let o(l) be the second derivative of -99*l**4/4 - 461*l**2/2 + 2*l + 8. Find the first derivative of o(j) wrt j.
-594*j
Let y(h) be the third derivative of -83*h**7/105 + 185*h**3/3 - 170*h**2. Find the first derivative of y(x) wrt x.
-664*x**3
Find the third derivative of 25 - 60*p**3 - 2 + p**3 - 2*p**2 - 3 wrt p.
-354
Suppose 4 = q + q. What is the third derivative of -3*j**4 + 3*j**4 + 3*j**5 - 11*j**q + 34*j**2 wrt j?
180*j**2
Let k(n) be the third derivative of 1/15*n**5 + 0*n**4 + 0*n**7 - 9*n**2 + 0*n**6 + 0*n**3 + 0*n + 0 + 1/336*n**8. What is the third derivative of k(m) wrt m?
60*m**2
Let i(s) be the first derivative of 29*s**3/6 + 2*s**2 - 38*s - 36. Let a(u) be the first derivative of i(u). What is the first derivative of a(p) wrt p?
29
Let u(r) be the third derivative of r**7/42 - | {
"pile_set_name": "DM Mathematics"
} |
*k - 4. Let y(l) = -5*a(l) - 7*t(l). Let z = -5 - -12. Is y(z) a prime number?
False
Let p(h) = 3*h**3 - 4*h**2 - 2*h + 2. Let r = 43 - 36. Is p(r) a composite number?
False
Let n = -101 - -105. Suppose 0 = 4*o + 5*b - 552, 0*b = b + n. Is o a prime number?
False
Let g = 13827 - 6020. Is g a prime number?
False
Let h = 402 - -1747. Is h prime?
False
Let d(r) = -r**2 - 10*r. Let t be d(-9). Let f be (1 + 0 + t)*-10. Let j = f - -549. Is j a prime number?
True
Suppose 0 = -12*n + 92*n - 1951760. Is n composite?
True
Let i = 4 - -14. Suppose -i = -a + z + 24, -86 = -3*a - 5*z. Is a composite?
False
Suppose -6*x + 34057 + 162569 = 0. Is x composite?
False
Let a(c) = 4*c - 14*c + 12*c + 2*c**2 - 2 + 1. Let i be a(-2). Suppose 135 = i*o + 57. Is o prime?
False
Let p be 1*(0 + 0)*-1. Suppose -s - 4*s = p. Is 6/3 - -44 - s a composite number?
True
Let q(h) = 201*h - 1. Let s = 4 + -1. Let b be q(s). Is b/3 + 1/3 composite?
True
Suppose -w - 365 = -6*w. Let k = 38 + w. Let d = k - 64. Is d composite?
False
Suppose 3*x = n - 53, 4*n = -3*x + 6*x + 68. Is ((-8)/x)/(1/(-4)) - -87 a prime number?
False
Suppose -3*f = -r - 4*r - 22, -2*r - 20 = -4*f. Let b be (r + 4 - 1) + 1335. Let d = b - 705. Is d a prime number?
True
Let g(d) = 40*d**2 - 25*d + 122. Is g(9) a composite number?
False
Let d = -3618 - -2063. Let r = -384 - d. Is r a composite number?
False
Let g = 8437 - 4650. Is g composite?
True
Suppose 397314 + 121212 = 18*b. Is b a composite number?
False
Suppose 5*l - 671 = 2*l + k, 0 = -l + 4*k + 242. Suppose l - 21 = 3*x. Is x a composite number?
False
Let s = 180 + -22. Let j be -4*(1 - 2)*-1. Is s/3 + j/(-12) a composite number?
False
Let a = 673 - 312. Suppose -52 = 16*z + 2188. Let r = z + a. Is r a prime number?
False
Suppose -4*w - 3*h + 2280 = 0, 2636 = 3*w + 4*h + 926. Let l = 1189 + w. Is l a composite number?
False
Let a be (-470 - 0)/((-4)/8). Suppose 5*r - 286 = -2*v + a, 3*v - 1889 = 5*r. Is v a composite number?
True
Let f = -46 - -53. Let v(n) = 9*n**3 - 8*n**2 + 5*n - 11. Is v(f) composite?
False
Let i = -7136 - -12103. Is i a prime number?
True
Suppose -1695 = -5*b + 890. Is b a prime number?
False
Let s be 4*(-1)/3*-3. Suppose -5*y = 3*b - 112, 5*y + 134 = s*b + 4*y. Let d = b + 77. Is d a prime number?
False
Is -3 - (8892130/(-338) - 1/(-13)) a prime number?
False
Suppose d + d = 2, 5*o - 498448 = -3*d. Is o composite?
False
Let p = 4472 - 3141. Let h = 38 + -34. Suppose 326 = 4*v - 3*v + 3*l, 3*l = -h*v + p. Is v a prime number?
False
Let p(u) = 154*u**3 + 1. Let t be p(1). Let c(r) = 63*r + 25. Let x be c(5). Let y = x - t. Is y a prime number?
False
Let l be ((-6)/5)/(-1 - (-7)/10). Is ((-477)/(-6) - -2)*l/2 a composite number?
False
Let x = 28800 - 19033. Is x a composite number?
False
Let q(f) = -4*f - 3*f**3 + 3*f - 9*f**2 + 3 + 2*f**3 + 4*f**2. Let g be q(-5). Is (34 - 1) + (8 - g) a prime number?
False
Let v(d) be the first derivative of -d**3/3 - 7*d**2/2 + 6*d + 1. Let r be v(-6). Is 154*-2*(-3)/r a composite number?
True
Let l(z) = 1230*z + 83. Is l(4) a prime number?
True
Suppose 20424 = y + 3*y. Suppose y = l + l + 4*t, -5*l + 2*t = -12777. Suppose w - 6*w = -l. Is w prime?
False
Let s be (-4)/(-6) - (-35)/(-3). Let k = 21 - -21. Let x = s + k. Is x composite?
False
Suppose -2*n + 3*n = 2. Suppose 6*m = 4*m + n. Is m + (-3)/(-3) + 411 a prime number?
False
Suppose 0 = -2*h - 4*i + 5538, -69*h = -72*h - i + 8327. Is h prime?
True
Is 91497*((-65)/(-60) - 6/8) a prime number?
False
Let x = -14 + 15. Let i be ((-2)/(-4))/(x/1146). Suppose -4*y + i - 191 = 2*k, k - 3*y - 181 = 0. Is k composite?
True
Suppose -5*i + 4433 = 633. Let s = -149 + -354. Let a = i + s. Is a prime?
True
Let m = -59329 - -96606. Is m a prime number?
True
Let q(f) = 8*f**2 + 24*f - 1. Is q(-38) a composite number?
False
Let o = -14 + 15. Let t be (-1)/(2/4*o). Is t + 3 - (-334 - -4) a prime number?
True
Suppose 7*t - 2*t - 120 = 0. Let g(f) = -f**2 - 17*f + 20. Let d be g(-15). Suppose 0 = x - d - t. Is x composite?
True
Let a(b) = b**2 - b - 17. Let p be a(5). Is ((-825)/10 + p)*-2 a prime number?
False
Let a = 43 + -18. Let y = a - 19. Suppose 1190 = 5*n + 5*d, -3*n - 2*d = -y*n + 699. Is n a prime number?
False
Let j(x) = -2 + 6 - 3 - x. Let n be j(0). Let f(q) = 150*q**3 - q. Is f(n) prime?
True
Let m be -23 + -2 + 3 + -4. Let u = m + 44. Suppose 129 = 3*q - u. Is q a prime number?
False
Let c = 1065 - 726. Is c/(-5*(-12)/40) a composite number?
True
Suppose -13 + 9 = -m. Suppose 0 = m*h - 10 + 102. Let g = h + 150. Is g prime?
True
Let x(b) = 21*b**3 + b**2 - 2*b - 2. Let j be (-4)/(-2)*2/(-4). Let k be x(j). Is 5/(k/(-436))*1 a composite number?
False
Let x = 93 - 88. Suppose -3618 = -4*g - x*o - 0*o, 4*g - 5*o = 3638. Is g a composite number?
False
Let h be 12/30 - (-28346)/10. Let c be 2 - (2 - 1 - h). Suppose i + 0*x + x = 703, 0 = 4*i - 2*x - c. Is i prime?
False
Let k = 12 + -12. Suppose k = -8*j + 15105 + 4183. Is j prime?
True
Is ((-10)/(-6))/(40/434040) a composite number?
True
Let x = 157 + 38. Suppose x = 4*o - 7*o. Let h = o - -150. Is h a composite number?
True
Suppose 77*b - 33*b = 8653964. Is b a composite number?
False
Let k(t) = t**3 - 5*t**2 + 4*t - 12. Let c be k(5). Let r(m) = 15*m**2 - 5*m - 13. Is r(c) composite?
False
Suppose 4*g + 10040 = v, 4*v = -4*g + 5*g + 2495. Let l = -1360 - g. Is l composite?
False
Let v be (1/2)/((-2)/(-12)). Suppose 15 = -v*x + 8*x - 5*l, l - 12 = -4*x. Suppose -21 = -x*p + 78. Is p composite?
True
Let c = 13592 - -5247. Is c a composite number?
False
Let y(c) = -6*c**3 - c**2 - 5*c - 3. Let h be y(-2). Let b be 10/4 + (-1)/2. Let v = h - b. Is v composite?
True
Suppose 2399 = 3*z + 728. Is z a prime number?
True
Let c be 3 + -3 + 18 + 1. Is 797/4 + c/(-76) a prime number?
True
Let v = -5038 + 25045. Is v/26 + (-1)/2 composite?
False
Suppose -5*o = -3*x + 4 - 10, x - 6 = -o. Suppose -2*l = -x*p + 8025, -6*p + 3*p + l = -8025. Suppose 5*b - p + 444 = j, 0 = -2*j + 8. Is b prime?
False
Let n be (12/10)/(66/220). Suppose -3*g = -15, 0 = 5*v + g - 0*g - 3445. Suppose b = 3*o + v, -b + o + 670 = n*o. Is b composite?
True
Let m(h) = h**2 + 4*h + 10. Suppose -3*z + w = -14, -3*z - w + 13 = -3*w. Is m(z) prime?
False
Let o = 3277 - 932. Suppose 5*j + 910 = o. Is j a prime number?
False
Let x = -74621 - -120564. Is x prime?
True
Suppose -3*l - 5 + 23 = 2*v, -v + 5*l - 17 = 0. Suppose -v*h = -3*a + 5460, 3*a + 4*h = 4636 + 845. Is a a composite number?
False
Is (0 + 1)/(24/37416) composite?
False
Let p = 5621 - -6740. Is p prime?
False
Let o = 12124 - 1226. Is o composite?
True
Let t = 351 + 4435. Suppose c + n = 2393, -t = -2*c - 2*n + n. Is c composite?
False
Let h = 642 - 191. Suppose 12*r - h - 1073 = 0. Is r a prime number?
True
Suppose -19*u = 26568 - 91966. Is u composite?
True
Let h = 28130 + -13945. Is h composite?
True
Let l(u) = -33*u**2 + 32*u**2 - 67 + 198. Let n = 0 + 0. Is l(n) prime?
True
Is 3798 + -1 + (-3 - (-18)/6) prime?
True
Suppose 17*a - 18 = 15*a. Let u(r) = -r**3 + 19*r**2 - 7*r - 8. Is u(a) prime?
True
Let g(y) = -y**3 + 3*y**2 - 3*y + 2. Let n be g(2). Suppose n = 7*h - 21954 - 47101. Is h a prime number?
False
Let x be (-5)/(6 + 4)*-2. Is 4592/8 - (2 - x) a composite number?
True
Let r(z) = 17*z + 2. Suppose -k + 9 = 2*k. Suppose k*j - 5 = 4. Is r(j) prime?
True
Let k(i) = i. Suppose m + 2*m = -6. Let s be k(m). Is 1315/25 + s/(-5) a prime number?
True
Let b(f) = 47536*f**3 + 11*f - 10. Is b(1) composite?
True
Let n(z) = 155*z**3 - 2*z**2 + z + 1. Let s be -1 + ((-3)/(-3))/(2/4). Is n(s) a composite number?
True
Suppose -3*r - 4*p + 1919 = 0, -5*r - p + 4*p + 3208 = 0. Is r prime?
True
Suppose 3*s - 6 = 9. Suppose -i + 20 = s*w, w = -i + 3*i + 15. Suppose -w*n - 645 = -8*n. Is n composite?
True
Let m(a) = -a**3 + 2*a**2 + 14*a - 5. Let o be m(-9). Let g(r) = -r**2 + 7*r - 4. Let p be g(6). Suppose f + o = 4*q, -p*q - 2*f - 4 = -394. Is q prime?
True
Let d(h) be the third derivative of 17*h**5/20 - h**3/6 + 33*h**2. Let z be 3/(-1 - -2) + -1. Is d(z) prime?
False
Let y(j) = -j**3 - 5*j**2 + 7*j + 7. Let i be y(-6). Let a = 2 - i. Let f(z) = 210*z + 1. Is f(a) prime?
True
Suppose 0 = -5*b + 7538 + 13447. Let c(o) = o**2 - 16*o + 33. Let l be c(14). Suppose s - 2061 = -s + l | {
"pile_set_name": "DM Mathematics"
} |
-2*w**4 + 4*w**2. Let t = 66 + -77. Let f(v) = 6*v**4 - v**3 - 11*v**2. Let h(d) = t*b(d) - 4*f(d). Determine y so that h(y) = 0.
0, 2
Find q, given that -157*q**2 - 37*q**3 + 88*q + 323*q**4 - 161*q**4 - 164*q**4 = 0.
-11, -8, 0, 1/2
Suppose -10*f + 9*f - 9 = -3*y, 2*f = 2*y - 2. Let m be 3*(-6)/42*(-21)/18. Let 0 + m*c - 3/4*c**2 + 0*c**f + 1/4*c**4 = 0. Calculate c.
-2, 0, 1
Let d(o) be the first derivative of -11/10*o**4 + 24/5*o**2 + 33 - 8/5*o - 6/5*o**3. Let d(c) = 0. Calculate c.
-2, 2/11, 1
Factor 1516/25*y + 2/25*y**3 + 1008/25 + 102/5*y**2.
2*(y + 1)*(y + 2)*(y + 252)/25
Let z(n) be the third derivative of -n**6/480 + 61*n**5/80 - 121*n**4/32 + 181*n**3/24 - 2002*n**2. Factor z(s).
-(s - 181)*(s - 1)**2/4
Let d be (-16)/(-72)*(13 + -4). Let w(o) be the second derivative of -21*o - 1/42*o**4 - 4/7*o**3 + 0 - 36/7*o**d. Factor w(y).
-2*(y + 6)**2/7
Let m(z) be the first derivative of -2*z**3/9 + 148*z**2/3 - 10952*z/3 - 134. Solve m(j) = 0 for j.
74
Let p(u) be the second derivative of -u**6/180 + 7*u**5/30 - 49*u**4/12 + 2*u**3/3 - u**2 - 6*u. Let r(o) be the second derivative of p(o). Factor r(l).
-2*(l - 7)**2
Let f(j) be the first derivative of -7/2*j**4 + 7/5*j**5 - 9*j - 128 + 2/3*j**3 - 1/6*j**6 + 15/2*j**2. Factor f(l).
-(l - 3)**2*(l - 1)**2*(l + 1)
Let w(v) = -3 + 5 - 1. Let t(l) = 2*l**2 + 4*l - 9. Suppose -4*i = -5*s + 7, s + 3 = -3*i + 12. Let d(c) = i*t(c) + 22*w(c). Factor d(a).
4*(a + 1)**2
Let b(u) be the third derivative of -u**7/140 - 33*u**6/20 - 89*u**5/4 - 471*u**4/4 - 1125*u**3/4 + 12157*u**2. Solve b(n) = 0 for n.
-125, -3, -1
Let v(k) = k**2 + 14*k + 27. Let w be v(-12). Let i be (-12684)/(-6795)*9/4. Factor 0 + i*o**2 - 3/5*o**w - 18/5*o.
-3*o*(o - 6)*(o - 1)/5
Let y = 650 - 648. Let -2*c**2 + 72 - 12*c**y + 95*c**4 + 9*c - 8*c**2 + 15*c - 4*c**3 - 93*c**4 = 0. What is c?
-2, 3
Let t(q) be the third derivative of q**5/40 - 25*q**3 + q**2 + 1075. Factor t(y).
3*(y - 10)*(y + 10)/2
Let j(v) be the third derivative of -v**7/70 + 26*v**6/5 - 2704*v**5/5 + 103*v**2. Find d, given that j(d) = 0.
0, 104
Let j be 3*(-1)/3*-1 + 4. Suppose 4*t = 20, j = 8*z - 5*z + t. Solve 5/2*r**2 + 15/2*r + z = 0 for r.
-3, 0
Let j(n) = -12*n**2 + 55*n - 27. Suppose 0*g + 5*i = -g + 45, g = -i + 25. Let c(a) = g - 12*a**2 + 25*a**2 - 55*a + 8. Let h(z) = 3*c(z) + 2*j(z). Factor h(l).
5*(l - 3)*(3*l - 2)
Let c be (-5)/(-7 + (-115)/(-20)). Let z be (c/(24/(-21)))/(50/(-60)). Find j, given that 27/5*j**2 + 3*j**3 - 6/5 - 3*j - z*j**4 = 0.
-1, -2/7, 1
Suppose 3836 = 135*q - 131*q. Let n = -3833/4 + q. Let n*f**2 - 3/4*f + 0 = 0. What is f?
0, 1
Let w(c) = c**2 - 234*c + 243. Let j(r) = -2*r**2 + 350*r - 364. Let a(k) = 5*j(k) + 8*w(k). Factor a(l).
-2*(l - 1)*(l + 62)
Let t = -110659 - -331981/3. Let 1/3*p**3 - 2*p**2 + 16/3 - t*p + 1/6*p**4 = 0. Calculate p.
-4, -2, 2
Let x = -2411/2 + 50635/42. Let u(q) be the first derivative of 1 - 16/7*q + x*q**3 + q**2. Factor u(f).
2*(f - 1)*(f + 8)/7
Let j(q) be the second derivative of 34/21*q**3 + 3*q + 6*q**2 - 45 - 5/21*q**4 - 1/35*q**5. Factor j(x).
-4*(x - 3)*(x + 1)*(x + 7)/7
Let -1/5*l**4 + 32/5*l + 17/5*l**3 - 78/5*l**2 + 128/5 = 0. Calculate l.
-1, 2, 8
Factor -269/10*n - 267/5 - 1/10*n**2.
-(n + 2)*(n + 267)/10
Suppose -7 = 2*o - t, 11941 = 4*o - 5*t + 11988. Let d be (-2 - -6) + (-3 - -2). Factor -1/2*p**o + d - 5/2*p.
-(p - 1)*(p + 6)/2
Let o(c) be the third derivative of 16*c**6/135 - 4*c**5/15 + c**4/4 - 14*c**3/3 - 79*c**2. Let y(f) be the first derivative of o(f). Factor y(s).
2*(8*s - 3)**2/3
Let l(h) = 2*h**2 + 43*h + 198. Let o be l(-15). Let g = -20 + 24. Suppose 0 + 5/2*m**o - 5/6*m**g - 5/2*m**2 + 5/6*m = 0. What is m?
0, 1
Suppose 0 = -74*c - 47*c. Let m(l) be the first derivative of 0*l + c*l**2 + 1/3*l**3 - 13. Suppose m(p) = 0. Calculate p.
0
Let n(s) = 78*s**2 + 339*s + 306. Let l(h) = -h**3 - 250*h**2 - 1017*h - 918. Let j(c) = 3*l(c) + 10*n(c). What is d in j(d) = 0?
-6, -1, 17
Suppose -796*z + 2625 = -803*z. Let g = z + 378. Factor 2/5*k**g + 14*k + 98/5 - 26/5*k**2.
2*(k - 7)**2*(k + 1)/5
Let y(l) be the second derivative of -7*l**6/30 + 117*l**5/20 + 17*l**4/6 - 339*l. Factor y(s).
-s**2*(s - 17)*(7*s + 2)
Let s(k) be the first derivative of 1/36*k**6 + 108 + 0*k**5 + 0*k**3 + 0*k - 1/12*k**4 + 1/12*k**2. Factor s(a).
a*(a - 1)**2*(a + 1)**2/6
Let r(x) be the second derivative of 1 + 5/33*x**3 - 4/11*x**2 + 1/22*x**4 + 1/165*x**6 - 1/22*x**5 - 10*x. Let r(l) = 0. What is l?
-1, 1, 4
Find x, given that 268 + 412*x - 2*x**2 - 868 - 79*x**2 - 122*x**2 - 4*x**3 + 395*x**2 = 0.
-3, 1, 50
Suppose -821 = -8*i - 805. Suppose -11 = 10*q - 15*q - 2*h, 8 = 4*q + i*h. Factor 8/9*d + 0 + 8/9*d**2 + 2/9*d**q.
2*d*(d + 2)**2/9
Let q(b) = -308*b**4 + 4*b**3 - 100*b**2 + 64*b - 34. Let v(t) = -9*t**4 - t**3 - 1. Let f(s) = -2*q(s) + 68*v(s). Factor f(r).
4*r*(r - 16)*(r - 2)*(r - 1)
Let l = -88 + 93. Let h(b) be the third derivative of 0 + 1/12*b**l + 10/3*b**4 + 19*b**2 + 160/3*b**3 + 0*b. Determine y so that h(y) = 0.
-8
Let c(k) = 3*k**2 + 4*k - 20. Let h be c(-5). Let u(l) be the third derivative of 0 - 4/3*l**3 + 0*l + 2/15*l**5 - 1/48*l**6 - 1/12*l**4 - h*l**2. Factor u(o).
-(o - 2)**2*(5*o + 4)/2
Let w(p) be the first derivative of 1805*p**4/12 - 190*p**3/3 + 10*p**2 + 6*p + 72. Let c(n) be the first derivative of w(n). Factor c(z).
5*(19*z - 2)**2
Let w(k) = -72*k + 2. Let v be w(1). Let u be -1*99/(-21) + (-20)/v. Suppose u*c**4 + 30*c**3 + 45*c**2 + 57*c**2 - 40 - 30*c - 67*c**2 = 0. What is c?
-4, -2, -1, 1
Let o(z) = -20*z**3 - 11250*z**2 - 1596075*z - 2368830. Let i(q) = 30*q**3 + 16873*q**2 + 2394112*q + 3553245. Let d(c) = -5*i(c) - 8*o(c). Factor d(b).
5*(b + 281)**2*(2*b + 3)
Let j = -47 - -184. Let n = 140 - j. Factor -3*k - 4 - 12*k - 16 + 2*k**2 + n*k**2.
5*(k - 4)*(k + 1)
Let x be -48*2/(-8)*55. Let p = x + -660. Determine j so that p*j**2 + 0 + 2/5*j - 2/5*j**3 = 0.
-1, 0, 1
Let h(m) be the first derivative of -17 - 25/26*m**4 - 10*m**3 - 144/13*m**2 - 56/13*m. Factor h(u).
-2*(u + 7)*(5*u + 2)**2/13
Let b(s) be the third derivative of -s**8/2688 - 43*s**7/1680 - 13*s**6/24 - 299*s**5/120 + 5*s**4/6 + 100*s**3/3 - s**2 - 710. Determine j so that b(j) = 0.
-20, -2, 1
Let d(c) be the third derivative of -c**7/945 + 7*c**6/270 - 11*c**5/90 - 28*c**4/27 - 64*c**3/27 + 12036*c**2. Factor d(n).
-2*(n - 8)**2*(n + 1)**2/9
Let s(q) be the first derivative of -q**6/15 + 2*q**5/25 + q**4/2 - 2*q**3/3 - 4*q**2/5 + 8*q/5 - 2611. Find p such that s(p) = 0.
-2, -1, 1, 2
Let n(q) be the first derivative of 2*q**5/5 + 20*q**4 + 50*q**3 - 40*q**2 - 152*q + 12578. Let n(r) = 0. What is r?
-38, -2, -1, 1
Let j = 36959/9060 + -392/151. Let g = 33/20 - j. Factor g*a**4 - 3/2 + a**3 + 4/3*a**2 - a.
(a - 1)*(a + 1)*(a + 3)**2/6
Let v(l) be the first derivative of l**6/1800 - l**5/150 + l**4/40 - 10*l**3/3 - l + 14. Let r(t) be the third derivative of v(t). Factor r(i).
(i - 3)*(i - 1)/5
Let n(s) be the first derivative of -2*s**2 + 20/21*s**3 - 90 - 1/7*s**4 + 12/7*s. Factor n(j).
-4*(j - 3)*(j - 1)**2/7
Let o(g) be the second derivative of -g**4/3 - 74*g**3/3 - 140*g**2 - 307*g + 7. Solve o(n) = 0.
-35, -2
Let b = 137199 + -137196. Factor 5/3*k**b + 0*k**2 + 0*k - 1/3*k**4 + 0.
-k**3*(k - 5)/3
Suppose -7*t - 1 = -1. Suppose -5*b + t = -25. Factor 5*l**3 + 0*l + b*l**2 - 16*l**4 + 11*l**4 - 5*l.
-5*l*(l - 1)**2*(l + 1)
Let n(v) be the second derivative of 0 + 5/21*v**3 - 4/7*v**2 - 177*v - 1/42*v**4. Determine l, given that n(l) = 0.
1, 4
Let z be 986/10353*(-72 - 0)*-6. Let 2/7*r**3 - z + 46/7*r**2 + 240/7*r = 0. Calculate r.
-12, 1
Let u(y) be the second derivative of y**7/1575 + y**6/300 + y**5/225 - 59*y**2 + 9*y. Let c(i) be the first derivative of u(i). Find l such that c(l) = 0.
-2, -1, 0
Let c(h) be the second derivative of -2/5*h**2 + 0 + 11/15*h**3 + 7/50*h**5 - 8/15*h**4 + 55*h. Factor c(v).
2*(v - 1)**2*(7*v - 2)/5
Let x(p) be the third derivative of -p**6/96 - 161*p**5/24 - 3205*p**4/96 - 200*p**3/3 - 144*p**2 - 1. Find i such that x(i) = 0.
-320, -1
Let j(l) be the first derivative of l**6/720 + 37*l**5/120 + 1369*l**4/48 - 16*l**3/3 + 6*l - 155. Let q(r) be the third derivative of j(r). Factor q(z).
(z + 37)**2/2
Suppose -16*z - 96 = -22*z. Suppose 0 = -26*l + | {
"pile_set_name": "DM Mathematics"
} |
uppubppipzuzzbzuzu. What is prob of picking 1 u, 1 i, 1 q, and 1 p?
2/323
Four letters picked without replacement from jqjjqjjjjjjj. Give prob of picking 3 j and 1 q.
16/33
Three letters picked without replacement from {r: 1, n: 2, y: 1, o: 1, q: 2, t: 1}. Give prob of picking 1 t, 1 y, and 1 r.
1/56
Four letters picked without replacement from {m: 2, t: 4, p: 6}. What is prob of picking 4 t?
1/495
Two letters picked without replacement from {j: 2, a: 1}. What is prob of picking 1 a and 1 j?
2/3
What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 15, a: 2, l: 3}?
3/19
Four letters picked without replacement from ffllvaqaaili. Give prob of picking 2 l, 1 v, and 1 i.
2/165
Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {q: 2, d: 1, x: 9, j: 4, n: 4}.
1/190
Three letters picked without replacement from {b: 2, z: 18}. What is prob of picking 2 z and 1 b?
51/190
Three letters picked without replacement from {j: 10, z: 3, u: 2, c: 2, h: 2}. What is prob of picking 1 h and 2 c?
2/969
Two letters picked without replacement from {w: 1, s: 5, y: 2, t: 2, f: 2, l: 1}. Give prob of picking 2 y.
1/78
Four letters picked without replacement from aappapaapappa. What is prob of picking 3 p and 1 a?
28/143
What is prob of picking 1 y and 2 s when three letters picked without replacement from syynseyelynevnsnnln?
4/323
Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {z: 1, p: 5, j: 5}.
5/33
Calculate prob of picking 1 e and 2 x when three letters picked without replacement from {i: 5, e: 6, m: 1, x: 7}.
42/323
Two letters picked without replacement from ixiixxiixiixixxiixxx. What is prob of picking 2 i?
9/38
What is prob of picking 1 r and 2 e when three letters picked without replacement from arararearrerrarraaa?
3/323
Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {n: 2, x: 1, h: 1}.
1/4
Three letters picked without replacement from aatae. What is prob of picking 1 e, 1 a, and 1 t?
3/10
Two letters picked without replacement from yhqwhdhhydddwu. What is prob of picking 2 h?
6/91
Calculate prob of picking 2 l when two letters picked without replacement from {r: 15, l: 4}.
2/57
What is prob of picking 1 v and 1 x when two letters picked without replacement from {v: 1, f: 1, u: 1, x: 1, k: 1}?
1/10
Calculate prob of picking 1 q and 2 x when three letters picked without replacement from qqqqxqxqqqq.
3/55
Two letters picked without replacement from ttttttttmmt. What is prob of picking 1 m and 1 t?
18/55
What is prob of picking 2 o when two letters picked without replacement from {g: 1, j: 2, o: 5, r: 8, h: 2, x: 2}?
1/19
Four letters picked without replacement from {j: 6, n: 1, v: 1, p: 4, i: 3}. What is prob of picking 2 j, 1 p, and 1 v?
4/91
Three letters picked without replacement from {b: 2, o: 3, j: 4, k: 4, s: 1, w: 1}. What is prob of picking 1 b, 1 w, and 1 o?
6/455
What is prob of picking 4 y when four letters picked without replacement from yysnyyynynynssnsn?
1/68
Calculate prob of picking 2 s and 1 z when three letters picked without replacement from hszbsrhshahbshbbb.
3/340
What is prob of picking 2 x and 2 z when four letters picked without replacement from {x: 2, z: 4}?
2/5
What is prob of picking 2 o when two letters picked without replacement from {o: 3, g: 1}?
1/2
Four letters picked without replacement from zzuozsoz. What is prob of picking 3 z and 1 u?
2/35
Calculate prob of picking 1 w, 1 m, and 2 o when four letters picked without replacement from fefofffmofffoofwowdf.
4/969
Calculate prob of picking 2 w and 1 q when three letters picked without replacement from wxwqwwx.
6/35
Calculate prob of picking 1 b and 3 p when four letters picked without replacement from {e: 1, b: 1, a: 3, p: 9}.
12/143
Four letters picked without replacement from {z: 3, i: 8, u: 7}. What is prob of picking 1 z and 3 i?
14/255
Two letters picked without replacement from {e: 7, m: 5}. Give prob of picking 2 e.
7/22
Calculate prob of picking 2 x and 1 c when three letters picked without replacement from {g: 2, x: 9, c: 5}.
9/28
What is prob of picking 1 d and 1 y when two letters picked without replacement from {y: 4, d: 7, g: 1, j: 3, f: 1, w: 2}?
28/153
Three letters picked without replacement from {h: 1, e: 2, w: 4, a: 1, p: 1}. What is prob of picking 1 w, 1 e, and 1 p?
2/21
Four letters picked without replacement from {r: 6, o: 4, w: 4}. Give prob of picking 4 w.
1/1001
Calculate prob of picking 3 s and 1 i when four letters picked without replacement from jsbjiisibjbjgissis.
5/306
What is prob of picking 1 h, 2 x, and 1 l when four letters picked without replacement from xlxhhl?
4/15
Calculate prob of picking 3 f and 1 s when four letters picked without replacement from {f: 14, s: 4}.
364/765
Calculate prob of picking 1 y and 1 k when two letters picked without replacement from mgkmgym.
1/21
Calculate prob of picking 1 i and 1 q when two letters picked without replacement from ifiiaiaagqagiiiqg.
7/68
Three letters picked without replacement from yyyyyyyyy. Give prob of picking 3 y.
1
What is prob of picking 1 w and 1 s when two letters picked without replacement from fwsfsssf?
1/7
Calculate prob of picking 2 k when two letters picked without replacement from kzzzdzzzdzzzzkzzzzkz.
3/190
Four letters picked without replacement from {d: 2, f: 1, h: 1, m: 2, x: 1, q: 1}. Give prob of picking 2 d, 1 h, and 1 m.
1/35
Two letters picked without replacement from cccaqccqcqttqaqaqa. Give prob of picking 2 t.
1/153
Calculate prob of picking 1 o, 1 r, and 2 y when four letters picked without replacement from yorooooooororoyohro.
4/323
Four letters picked without replacement from {v: 3, h: 3}. What is prob of picking 2 v and 2 h?
3/5
Two letters picked without replacement from qcqqcqq. Give prob of picking 2 c.
1/21
Two letters picked without replacement from {b: 2, k: 1, x: 1, g: 1}. What is prob of picking 1 k and 1 b?
1/5
Three letters picked without replacement from droddddddrrdoordodd. Give prob of picking 3 o.
4/969
Calculate prob of picking 1 y, 1 b, and 1 q when three letters picked without replacement from miqbmbbqibbbbbbmyim.
6/323
Two letters picked without replacement from lffffqffllqqfqqfeq. Give prob of picking 1 q and 1 f.
16/51
Two letters picked without replacement from {b: 1, s: 7}. What is prob of picking 2 s?
3/4
Three letters picked without replacement from {f: 2, z: 5}. What is prob of picking 1 f and 2 z?
4/7
Two letters picked without replacement from {z: 2, p: 6}. Give prob of picking 2 z.
1/28
Three letters picked without replacement from vvfsvavvqmv. What is prob of picking 1 q, 1 f, and 1 a?
1/165
Four letters picked without replacement from {s: 7, y: 6}. What is prob of picking 1 y and 3 s?
42/143
Three letters picked without replacement from {h: 2, e: 5}. What is prob of picking 1 e and 2 h?
1/7
What is prob of picking 4 k when four letters picked without replacement from {k: 10, v: 2}?
14/33
Three letters picked without replacement from hujnaubunnubnj. Give prob of picking 1 j, 1 b, and 1 n.
4/91
What is prob of picking 1 b, 1 l, 1 h, and 1 p when four letters picked without replacement from {p: 1, q: 4, h: 2, v: 2, b: 2, l: 1}?
4/495
Calculate prob of picking 2 y and 1 p when three letters picked without replacement from pppyypppyyp.
14/55
Two letters picked without replacement from soogogd. What is prob of picking 2 g?
1/21
Four letters picked without replacement from {n: 1, e: 4, a: 2, j: 6, k: 2, w: 4}. What is prob of picking 1 e, 1 w, 1 k, and 1 n?
8/969
What is prob of picking 2 a and 1 g when three letters picked without replacement from aabagba?
6/35
Calculate prob of picking 1 n, 1 o, and 2 l when four letters picked without replacement from {q: 4, l: 2, n: 1, r: 4, o: 5}.
1/364
Three letters picked without replacement from {s: 1, o: 2, h: 1, m: 6, t: 7}. What is prob of picking 2 t and 1 m?
63/340
What is prob of picking 2 w, 1 x, and 1 q when four letters picked without replacement from {x: 1, q: 2, w: 2}?
2/5
Two letters picked without replacement from {c: 9, m: 9, z: 1}. What is prob of picking 1 c and 1 m?
9/19
Calculate prob of picking 1 y, 1 b, and 1 v when three let | {
"pile_set_name": "DM Mathematics"
} |
1. Let h be c(4). Let q = h + -8. Suppose f + 5*m + 4 = -19, -f + q = -m. What is the greatest common factor of 14 and f?
2
Let t = 15 - 41. Let x = t + 33. Calculate the greatest common divisor of x and 56.
7
Suppose a + 39 = 4*a. Let l(n) = -n**2 + n + 143. Let p be l(0). What is the greatest common divisor of a and p?
13
Let a(m) = -m**3 - 9*m**2 + 10*m + 2. Let g be a(-10). Suppose 2*i = 4*i - 4. What is the greatest common divisor of g and i?
2
Let d = 7 - 5. Let t be 35 - ((-8)/(-2))/d. Suppose 4*k + b - 3*b - 48 = 0, -8 = 4*b. Calculate the highest common divisor of t and k.
11
Suppose 6*r = 5*r + 319. What is the highest common factor of r and 29?
29
Suppose 108 = 5*k - 2*k. Let n be 8/k + 266/18. What is the greatest common factor of 3 and n?
3
Suppose 0 = 4*v - v + m - 35, -3*v = -2*m - 20. Let u = v + -7. What is the greatest common factor of 12 and u?
3
Let g(v) = -2*v + 16. Let l be g(0). Calculate the highest common factor of l and 32.
16
Suppose 2*f - 4*z = 44, -3*f - 3*z = z - 76. Suppose 4*j + 0*j - f = 0. What is the highest common divisor of 4 and j?
2
Let o(p) = 5*p - 6. Let f(h) = -14*h + 19. Let v(y) = 4*f(y) + 11*o(y). Let x be v(7). Let l be (-2)/4*0 + 1. What is the highest common factor of l and x?
1
Let l = 27 + -15. Suppose -1 = 4*y - 5*a, -y - 31 = -2*y - 5*a. Calculate the greatest common factor of l and y.
6
Let u(t) = -t**2 - 10*t - 8. Let d be u(-6). Let s be 1*-48*2/(-6). Calculate the highest common divisor of s and d.
16
Let j be 2/(-6) - (-492)/18. Suppose 3*o = 6*o - j. What is the greatest common factor of 63 and o?
9
Suppose -7*g + 93 = -2*g + 4*n, 4*g = 4*n + 60. Calculate the greatest common factor of g and 153.
17
Let u be (-405)/(-10) - ((-10)/(-4) - 2). Calculate the greatest common factor of 4 and u.
4
Let l(j) = -3*j**2 + 2*j - 1. Let p be l(2). Let k be p*(2 + -3)*1. Let v(f) = 2*f + 1. Let h be v(4). Calculate the greatest common factor of h and k.
9
Let g be (7 - 2) + -2 - -1. Suppose g*p - 393 - 87 = 0. Suppose r - 12 = -0*r. What is the highest common divisor of r and p?
12
Let s be (-5)/10 + 226/4. What is the highest common divisor of 7 and s?
7
Suppose -m = -10 + 4. Suppose 0 = 3*x - 0*x - 126. Calculate the highest common divisor of x and m.
6
Suppose -4*g + 1 - 17 = 0. Let h be g/(-1)*(-1)/(-2). Suppose 0 = 2*p - 3*u - 78, h*u - 140 = -4*p - 0*u. Calculate the highest common divisor of 24 and p.
12
Let x(w) = 10*w**2. Let j be x(2). Suppose 3*c - 6 = u + 4*u, 3*u + 8 = 4*c. Let r be c/(-5) - 156/(-15). What is the highest common factor of j and r?
10
Let w(g) = g**2 + 5*g + 6. Let m be w(-4). Suppose -3*s = 15, 8*h - 3*h - 35 = m*s. Let r = 14 - h. What is the greatest common divisor of r and 3?
3
Let f be ((-6)/3)/((-10)/25). Suppose 36 = l + l - f*j, -64 = -2*l - 2*j. What is the greatest common factor of 4 and l?
4
Let d be (-6)/4 - (-20)/8. Let m be (-1 - -44) + -3 - d. What is the greatest common divisor of 26 and m?
13
Let l = -1 - -4. Let f(b) = 9*b**3 + b**2 - b - 7*b**3 + b - 3. Let a be f(l). Calculate the greatest common factor of 15 and a.
15
Let u be 8718/36 + 2/(-12). Calculate the greatest common factor of 22 and u.
22
Suppose 20*c - 4411 = 489. Calculate the highest common factor of c and 98.
49
Suppose 5*g = 4*g + 4. Let t be ((-3)/(-9))/(3/(-45)). Let w(o) = o**3 + 6*o**2 + 5*o + 4. Let n be w(t). Calculate the greatest common divisor of n and g.
4
Suppose -3*v = -j + 24, 3*j = -2*v + 4*v + 86. Calculate the highest common divisor of j and 50.
10
Suppose 0 = 4*g + g - 65. Suppose -3*l + 102 + 249 = 0. What is the highest common divisor of g and l?
13
Let g be -3 + 11 - 1 - 2. Let r = g - -3. Calculate the greatest common divisor of 32 and r.
8
Let p = -2 + 19. Calculate the greatest common factor of 119 and p.
17
Let s(n) = n**2 + n + 7. Let y(t) = -t**3 + 4*t**2. Let m be y(4). Let a be s(m). Suppose -2*l + 150 - 52 = 0. Calculate the greatest common factor of a and l.
7
Let b be (-1)/2 + 27/6. Calculate the highest common divisor of b and 4.
4
Suppose y + 27 = -3*q - 2*q, y - 5*q - 3 = 0. Let v(j) = -6*j - 2. Let u be v(y). Calculate the highest common divisor of u and 10.
10
Let z be (2/(-12))/(9/(-54)). What is the greatest common factor of 11 and z?
1
Let f(o) = -32*o. Let l be f(-1). Let g = -6 - -8. Suppose -3*s + 44 = 6*z - 2*z, -5*s + 78 = g*z. Calculate the highest common factor of s and l.
16
Suppose 0 = -4*c - 3*w - 9, -4*w - 12 = -5*c + c. Let d be -56*(c + 4/(-8)). What is the greatest common factor of d and 7?
7
Suppose -4*v + 3*u + 88 = 0, 5*v - u - 110 = -0*u. What is the highest common divisor of 110 and v?
22
Let w = -83 + 86. What is the greatest common factor of w and 3?
3
Suppose -4*y + 2*y + 4 = 0. Let t(i) = 3*i - 3. Let p be t(3). Let m be 16/(y*3/p). Calculate the highest common factor of m and 8.
8
Suppose 4*b - 9 = -1. Suppose 4 + 0 = b*j. What is the highest common factor of j and 10?
2
Let z(r) = -6*r - 4*r - 6 + 2 + r**2 + 0*r. Let d be z(12). Calculate the highest common divisor of d and 20.
20
Let g be (5 - -1)*(-3)/(-9). Suppose -4*c - 155 = -4*b - 39, -5*c = -g*b + 73. What is the greatest common divisor of 12 and b?
12
Let o be 3*-1*(21/(-7) + -63). What is the highest common divisor of 18 and o?
18
Let p be (-4)/(-4)*-4 + 284. Suppose 12*k = 16*k - p. What is the greatest common divisor of 28 and k?
14
Suppose s - 3*y + 5 = 2*y, -2*s + 12 = y. Let a = -5 + s. Suppose -4 = -w + f + 8, a = -3*f. What is the greatest common factor of w and 6?
6
Let m = -38 + 66. Let z be (-4)/1 - m/(-2). What is the highest common divisor of 70 and z?
10
Let j be (-2)/4 - 1188/(-8). Let n = -41 + j. Suppose u + 3*w = -4*u + 86, -5*u + n = -4*w. Calculate the highest common factor of u and 19.
19
Suppose -5*k - 7 = 13. Let w(x) = -x**3 - 2*x**2 + 3*x - 4. Let p be w(k). Calculate the highest common divisor of 80 and p.
16
Let a be (2 + -1)/((-4)/(-16)). Suppose 0 = a*x - 6 - 2. Let v be (-39)/(3*x/(-4)). Calculate the greatest common factor of 13 and v.
13
Suppose 6 = s + 4. Suppose 4*w = -3*a - 0*a + 16, -19 = -s*a - w. Suppose -4*p = 8 - 56. Calculate the greatest common factor of p and a.
12
Let g be (-7)/(-2)*12/6. Let y be g/(-28) - 442/(-8). What is the greatest common divisor of 22 and y?
11
Let u = -62 - -38. Let l = -11 - u. What is the greatest common factor of l and 39?
13
Let a = 111 + -7. Let l(r) be the first derivative of r**2/2 + 3*r - 1. Let g be l(10). What is the highest common divisor of a and g?
13
Let l = 149 + -138. Calculate the highest common factor of l and 99.
11
Let m(x) = 33*x**2 - 4. Suppose d + 5*i - 8 = 0, 5*d - i = 6*d. Let z be m(d). Calculate the greatest common divisor of z and 16.
16
Let f be (-385)/(-21) - (-2)/(-6). Let x be (-90)/(-7)*84/f. What is the greatest common factor of x and 10?
10
Let w be 2/8 - 42/8. Let i(p) = 3*p**2 + 4*p - 7. Let m be i(w). What is the greatest common factor of 16 and m?
16
Suppose 394 + 101 = 5*r. Suppose -2*f + 3*f = -29. Let o = f - -40. What is the greatest common divisor of o and r?
11
Suppose -2*t + 7*t + 4*g - 40 = 0, 3*g = 0. Suppose t*m + 74 = 9*m. What is the greatest common divisor of 37 and m?
37
Let o be 4*(2/4 - 0). Suppose -o*n - 5*q + 10 = -0*q, -5*q = 4*n - 40. What is the greatest common divisor of 30 and n?
15
Let o(m) = 3*m**2 - 3*m + 1. Let y be 23/5 - (-8)/20. Suppose -y*k = l - 4 - 12, k - 32 = -5*l. Let s be o(l). What is the highest common divisor of 13 and s?
13
Suppose 4*c + 0*w = 4*w + 260, 3*c + w = 175. What is the greatest common divisor of c and 24?
12
Suppose -i - 4*f + 7*f = -11, -4*i + 5*f = -37. What is the highest common factor of 72 and i?
8
Let o = 2 - -1. What is the highest common factor of 39 and o?
3
Let n be 7*(-1 - -2) - 0. What is the greatest common factor of 7 and n?
7
Let w = -45 + 68. What is the highest common factor of w and 23?
23
Suppose 0 = 5*b - 0 - 5. Let i(z) = z**3 - 13*z**2 + 7. Let f be i(13). What is the greatest common divisor of f and b?
1
Let v(h) = -h**2 - 5*h - 3. Let d be v(-2). Let l = 35 - 24. Let k = l - 5. What is the greatest common factor of d and k?
3
Let d be 0 - (-1 - -14)*-1. Let m(w) = d*w - 12*w**2 + 11*w**2 - 7 - 4. Let l be m(11). Calculate the highest common factor of l and 66.
11
Let c = -128 - - | {
"pile_set_name": "DM Mathematics"
} |
349372
In base 14, what is 318 + -12450d?
-1241d5
In base 15, what is 2 - -751a67?
751a69
In base 9, what is 442828 + 54?
442883
In base 7, what is -204126304 - 20?
-204126324
In base 16, what is 143b47 - 65?
143ae2
In base 14, what is -5 - 2176a6?
-2176ab
In base 3, what is 0 - 22010111010020?
-22010111010020
In base 9, what is 3060 + 33085?
36155
In base 12, what is 17 + -469117?
-469100
In base 4, what is 310112 + 1000201?
1310313
In base 2, what is -11100010000000001001101 - -1?
-11100010000000001001100
In base 10, what is 8171366 - -4?
8171370
In base 3, what is 10212212001021102 - -2?
10212212001021111
In base 10, what is -1 - 978453?
-978454
In base 8, what is 2 + 65132456?
65132460
In base 10, what is -1046 + 84050?
83004
In base 7, what is -211052 - 13?
-211065
In base 11, what is -3506a1 + 5?
-350697
In base 3, what is -11112102 + -20202022?
-102021201
In base 4, what is 3000210000 + -1221?
3000202113
In base 12, what is -7 + -704570?
-704577
In base 11, what is 880440 + 5?
880445
In base 2, what is 10 - 100101001111111000100100?
-100101001111111000100010
In base 9, what is 2 + 15515113?
15515115
In base 4, what is 123001 + 21321?
210322
In base 7, what is -2000 - 43205?
-45205
In base 13, what is 27b3 - -3626?
6109
In base 10, what is 182183 - -673?
182856
In base 16, what is 143 - 19b426?
-19b2e3
In base 8, what is 47767 + 1326?
51315
In base 7, what is -10 - 5141111?
-5141121
In base 11, what is 268 - -121871?
122029
In base 4, what is 201100 + -102230?
32210
In base 14, what is -2846 - 25149?
-27991
In base 8, what is -2 + 2216372?
2216370
In base 4, what is 300023310033232 - -11?
300023310033303
In base 14, what is 93a7b - 471?
9360a
In base 4, what is -23112203 + -22030?
-23200233
In base 14, what is -2ca + 1a8120?
1a7c34
In base 2, what is -11001001 - 1101100000111?
-1101111010000
In base 16, what is -8cc821 - -1?
-8cc820
In base 7, what is 3535 + 246512?
253350
In base 7, what is 12 + 146635216?
146635231
In base 11, what is -678523 + -8?
-678530
In base 11, what is 1783899 + -5?
1783894
In base 6, what is 5533300 - -20?
5533320
In base 16, what is -41 - 2e09?
-2e4a
In base 13, what is -82b + 140b13?
1402b5
In base 5, what is -10 + 2030032114?
2030032104
In base 11, what is 0 - 3a6a9777?
-3a6a9777
In base 7, what is -220323250 + -4?
-220323254
In base 6, what is 241440 - -25150?
311030
In base 5, what is -4 + 34221143?
34221134
In base 10, what is 5000 + -1186?
3814
In base 9, what is 3045001 - 5?
3044885
In base 11, what is -25a10225 + -2?
-25a10227
In base 4, what is 0 - -100233332301?
100233332301
In base 14, what is 55 - -41c11?
41c66
In base 14, what is -91d0 + 277?
-8d57
In base 10, what is -61834892 + -1?
-61834893
In base 3, what is 10212010100100 - 2?
10212010100021
In base 13, what is 282 - -13c28?
141aa
In base 14, what is -4 + 6061678?
6061674
In base 10, what is -1 - 7067726?
-7067727
In base 13, what is -19a + 4a99a?
4a800
In base 9, what is 10450615 - 5?
10450610
In base 11, what is -512 - -657a?
6068
In base 13, what is -3 + -cb5606?
-cb5609
In base 4, what is 20120 - 3022033?
-3001313
In base 3, what is 11202 + 10002112000?
10002200202
In base 12, what is -3 - 8a9bb524?
-8a9bb527
In base 2, what is 1001100011010000111111 + -100?
1001100011010000111011
In base 15, what is 8204 - -68?
826c
In base 5, what is 1443410210 - 1?
1443410204
In base 5, what is 104 - -312041124?
312041233
In base 5, what is -323243 - 23040?
-401333
In base 16, what is 592 - -8240?
87d2
In base 6, what is -5344 + -3135412?
-3145200
In base 9, what is -17 - 304282?
-304310
In base 4, what is -30202012 - 113113?
-30321131
In base 8, what is 233 - -312145?
312400
In base 9, what is -676 + -60542?
-61328
In base 8, what is -2 + 454631462?
454631460
In base 9, what is 112 - -5471387?
5471510
In base 14, what is -4c + 57c?
530
In base 3, what is 22021020001120212 - 0?
22021020001120212
In base 15, what is -3c3 + -1569e?
-15a72
In base 2, what is -11 - -1001100111110110100111?
1001100111110110100100
In base 12, what is 69631841 - -5?
69631846
In base 11, what is -22a051 - -182?
-22997a
In base 8, what is 60604631 - 11?
60604620
In base 11, what is -1aa2 + 28a2?
900
In base 2, what is 11101000110110010100010 - -101?
11101000110110010100111
In base 8, what is -5 + -715707021?
-715707026
In base 10, what is -138411567 - -4?
-138411563
In base 11, what is -6695057 - -10?
-6695047
In base 9, what is -34126013 - 26?
-34126040
In base 7, what is -326415340 + 6?
-326415331
In base 11, what is -28010907 + -4?
-28010910
In base 9, what is 16885737 + -5?
16885732
In base 3, what is 112101220 - 21120?
112010100
In base 16, what is 39 - -2ddc69?
2ddca2
In base 11, what is -1051425 + 51?
-1051384
In base 3, what is 10 - 21021021201202112?
-21021021201202102
In base 6, what is -34 - 214221232?
-214221310
In base 12, what is -1962aa - 30?
-19631a
In base 15, what is -11c26ca + -2?
-11c26cc
In base 4, what is -3312303 - 2131?
-3321100
In base 14, what is 1 - -3323dc?
3323dd
In base 4, what is -1 + 1023303220102?
1023303220101
In base 10, what is -162 + -3879687?
-3879849
In base 5, what is -1121 + -1132222334?
-1132224010
In base 6, what is 3425534 - 5532?
3420002
In base 4, what is -2101 + 11321300031?
11321231330
In base 4, what is -23002210333 - -13?
-23002210320
In base 16, what is -68 + -7227?
-728f
In base 8, what is 4 - -3373752?
3373756
In base 11, what is -53 + -815628?
-815680
In base 14, what is 2a + 7a088?
7a0b4
In base 7, what is 21603 + -3606?
14664
In base 12, what is -b28 - -29b6?
1a8a
In base 10, what is 3 + 1699296?
1699299
In base 14, what is -321568 + 21?
-321547
In base 14, what is -3424 + 5a97?
2673
In base 5, what is -10 + 2032121201?
2032121141
In base 7, what is -6611525 - 15?
-6611543
In base 12, what is -16 - 394b0?
-39506
In base 7, what is 5504622365 - 5?
5504622360
In base 7, what is 2 + 211615250?
211615252
In base 5, what is 1 + 201023022?
201023023
In base 10, what is -92 + 458190?
458098
In base 16, what is -37 - 25c6b?
-25ca2
In base 12, what is -66 - 50?
-b6
In base 4, what is 210002 - 2012122?
-1202120
In base 2, what is -100110111000101 - 100110101?
-100111011111010
In base 7, what is 66 + -5543543?
-5543444
In base 4, what is 23 - -102212023230?
102212023313
In base 10, what is 1872130 + 449?
1872579
In base 7, what is -2 + -1266021545?
-1266021550
In base 12, what is -3558946b + -4?
-35589473
In base 6, what is 1423012513 - 2?
1423012511
In base 7, what is 114343 + 226631?
344304
In base 15, what is c - 40c7b8d?
-40c7b81
In base 12, what is -78a - -1386?
7b8
In base 12, what is 5a + 2b972?
2ba10
In base 16, what is ae6f + a?
ae79
In base 10, what is -4174 + 6156?
1982
In base 14, what is 3582499b + -5?
35824996
In base 14, what is 155 + 186?
2db
In base 2, what is -100111011101 - -110010010100?
1010110111
In base 12, what is -168 + -14097?
-14243
In base 8, what is 471324406 + 4?
471324412
In base 5, what is 23123 + -2211441?
-2133313
In base 14, what is 13220c - 27d?
131d6d
In base 2, what is -10111110100011101001 - 10?
-10111110100011101011
In base 15, what is -285a6a + -18?
-285a83
In base 8, what is -16 + 173016247?
173016231
In base 14, what is -c76a23 - -5?
-c76a1c
In base 10, what is -14 - -191306?
191292
In base 16, what is -13c027 + -2?
-13c029
In base 7, what is 0 - -2036465550?
2036465550
In base 8, what is 1 - -44307011?
44307012
In base 6, what is 3133501 + -102?
3133355
In base 8, what is -54615143 - -67?
-54615054
In base 2, what is 101011 + 100111001011101000?
100111001100010011
In base 15, what is -25 + 613ad?
61388
In base 7, what is -4535 + 40255?
32420
In base 15, what is 5 - -184ae951?
184ae956
In base 12, what is 23a0 - 4aaa?
-270a
In base 12, what is 211383b - 68?
2113793
In base 9, what is -2073460507 - 5?
-2073460513
In base 4, what is -3230 - -112303021?
112233131
In base 15, what is -3c - -c55c0?
c5583
In base 9, what is -234435 - -2338?
-232086
In base 14, what is 3ba + -91bd?
-8c03
In base 5, what is -3433 - 2001133?
-2010121
In base 10, what is 2 - 3081950?
-3081948
In base 14, what is -12c + -27771?
-2789d
In base 7, what is -1426203 + -10?
-1426213
In base 2, what is 101 - -10011000000111011110101?
10011000000111011111010
In base 11, what is -6670 + -174?
-6834
In base 7, what is 123 | {
"pile_set_name": "DM Mathematics"
} |
s bigger: -97 or -95?
-95
Which is smaller: 1 or -2207/5?
-2207/5
Which is greater: -1 or -17/440?
-17/440
Which is smaller: 122 or 123?
122
Which is bigger: 60 or 654/11?
60
Which is smaller: -1/4333 or 1?
-1/4333
Is 1 greater than 5/139?
True
Which is smaller: -1.57 or 17?
-1.57
Are 0.1 and -599 unequal?
True
Do -15 and 10 have different values?
True
Are -196.6 and 0.2 nonequal?
True
Are 1853/8 and 233 nonequal?
True
Are 44/7 and 5 equal?
False
Which is greater: 1 or 3/610?
1
Are -0.04 and 40/3 nonequal?
True
Which is bigger: -5/158 or 1?
1
Is -4538 <= -4538?
True
Are -94 and -104 unequal?
True
Which is smaller: 0 or -8/211?
-8/211
Is 18753 at most 18753?
True
Which is greater: -2 or 17?
17
Which is greater: 0 or 26/81?
26/81
Which is smaller: -9 or -407/49?
-9
Do -0.501 and -2/9 have the same value?
False
Which is greater: -35 or -31?
-31
Is 475 bigger than 474?
True
Which is smaller: -1/455 or 0?
-1/455
Is 231 >= 230?
True
Is -830/9 at least as big as -91?
False
Which is smaller: -53 or -52?
-53
Which is smaller: -779 or -781?
-781
Which is smaller: -1 or 1/1185?
-1
Which is smaller: 7/243 or 1?
7/243
Which is smaller: -4 or -241.8?
-241.8
Which is greater: -85 or -93?
-85
Is -19 at most -0.98?
True
Which is smaller: 0.27 or -231?
-231
Is -32 at least -185/6?
False
Is 0.1 >= 87?
False
Which is bigger: 1025 or 1027?
1027
Is 1 <= 1/166?
False
Is -0.006 at most as big as 6?
True
Which is smaller: -8484/5 or -1697?
-1697
Which is smaller: 2 or 14/11?
14/11
Which is greater: -86 or 16?
16
Are 22 and 14 unequal?
True
Which is greater: 0.3 or 1032?
1032
Which is bigger: 8/169 or 1?
1
Is 737 not equal to 6622/9?
True
Is 1/1015 != 0?
True
Is -0.07 less than -3/29?
False
Which is smaller: -17 or -4/3?
-17
Does -1 = 6426?
False
Is 16586 >= 16586?
True
Is -13 >= -77/6?
False
Is -405 equal to -404?
False
Is 17/7 != 2?
True
Which is bigger: 950 or 951?
951
Is 82 at least as big as 86?
False
Which is greater: -3.8 or -9?
-3.8
Is -0.0841 less than -1?
False
Which is bigger: -7/120 or 0?
0
Which is bigger: -57 or -56?
-56
Is -11.1 >= 4?
False
Which is smaller: -34 or 3?
-34
Is 728 less than 728?
False
Which is bigger: -155.07 or 1?
1
Which is smaller: -8/7 or -231/13?
-231/13
Which is greater: -7/34 or -1?
-7/34
Which is smaller: 0 or 3/1931?
0
Is 538 bigger than 7/2?
True
Which is smaller: 0.0055 or -1?
-1
Is 10951 not equal to -1/4?
True
Which is greater: 1/6 or 0.2?
0.2
Which is bigger: 0 or 6/2561?
6/2561
Are -1335 and -1335 nonequal?
False
Is -1609 smaller than 17?
True
Which is smaller: -65 or -702/11?
-65
Do -189 and -951/5 have the same value?
False
Which is smaller: 1 or -5723?
-5723
Is 54 less than 4?
False
Is -437 < -432?
True
Which is smaller: -235 or -234?
-235
Is -47 at most -45?
True
Which is greater: -93 or -58?
-58
Is -1105 at least as big as -1104?
False
Which is greater: -2/605 or 10?
10
Is 4.57 less than or equal to 1?
False
Which is bigger: 1016 or 0.02?
1016
Is 18/11 > -1/2?
True
Are -71/199 and 0 unequal?
True
Which is bigger: 178 or 0.2?
178
Which is smaller: 8/1155 or -1?
-1
Is 660 greater than 660?
False
Is 7/54 at most 0?
False
Which is bigger: -4896 or -0.1?
-0.1
Which is smaller: 400 or 1/2?
1/2
Is 2/273 >= 2/13?
False
Which is smaller: -0.08 or -3/2?
-3/2
Which is bigger: 1 or 93/505?
1
Is 4 >= -670?
True
Are -19790/7 and -2828 non-equal?
True
Is 2/443 greater than 1?
False
Are -126/19 and -7 unequal?
True
Which is bigger: -2212 or -2211?
-2211
Is 2187 > 2187?
False
Do -4303 and -4306 have the same value?
False
Is 1810 less than or equal to -2?
False
Do 2/132425 and 0 have different values?
True
Do -587/2 and -293 have the same value?
False
Is -56 > -44?
False
Is -1/5057 >= -1?
True
Which is bigger: 1136 or 1135?
1136
Is -77 greater than -73?
False
Which is smaller: 1/9623 or -1?
-1
Which is greater: 1439 or 1440?
1440
Is -1 at most as big as -1/301?
True
Which is smaller: 976 or 975?
975
Which is bigger: 1369 or 1373?
1373
Which is greater: 1766 or 2?
1766
Which is greater: 0 or -2/2799?
0
Is 59/9 at most 7?
True
Does 31/8 = 3?
False
Is 28 less than or equal to 5/7?
False
Which is smaller: -0.729 or 1?
-0.729
Which is smaller: 80 or -36?
-36
Which is smaller: -164 or -93?
-164
Is 235 equal to 235?
True
Which is greater: -687 or 0.2?
0.2
Which is smaller: -15 or -19?
-19
Which is smaller: -66703 or -66704?
-66704
Does 157 = 164?
False
Is -0.2 bigger than -1/599?
False
Which is greater: 1 or -98?
1
Is -0.2 greater than or equal to 268/3?
False
Is -1 greater than 195/2?
False
Is 6 >= -26.3?
True
Does 152/37 = 5?
False
Which is bigger: 104 or 3013/29?
104
Is 20 != 153?
True
Which is smaller: -263 or -265?
-265
Which is smaller: 1 or 2?
1
Which is greater: -10274 or -10271?
-10271
Which is smaller: 3/25 or -723?
-723
Which is bigger: 139 or 129?
139
Which is bigger: 200/31 or 7?
7
Which is smaller: -9/23 or 0?
-9/23
Is -170 equal to 12?
False
Which is smaller: 106 or 45?
45
Are -1842 and -1847 unequal?
True
Which is bigger: -300 or -299?
-299
Is -2/3 smaller than -2/2561?
True
Is 2380 at least as big as 2379?
True
Is -18/731 < 0?
True
Which is smaller: -50063 or -50064?
-50064
Are 25 and 24 unequal?
True
Which is smaller: -31 or -1?
-31
Which is smaller: 385 or 384?
384
Which is bigger: -70 or -1/6?
-1/6
Is 0.1 less than 1/10?
False
Is -19 less than or equal to -351?
False
Which is bigger: -153 or -177?
-153
Which is greater: 7 or -9?
7
Is 0 >= 6/3175?
False
Which is smaller: 15943 or -0.1?
-0.1
Are -56 and 4 unequal?
True
Which is bigger: -328 or 2?
2
Which is smaller: 0 or 17/127?
0
Which is greater: 2/5 or 1325?
1325
Which is greater: 24/41 or 1?
1
Which is smaller: -1656 or -1654?
-1656
Which is smaller: -507 or -1525/3?
-1525/3
Which is bigger: -1 or 22?
22
Which is bigger: -1063 or -1064?
-1063
Which is bigger: 1/3 or 2/27?
1/3
Which is bigger: -284 or -569/2?
-284
Do 149 and 149 have different values?
False
Which is smaller: 146/29 or 4?
4
Is 2/3 smaller than 24?
True
Is -3663 bigger than -3663?
False
Which is smaller: -1021 or -1018?
-1021
Are 57 and 58 equal?
False
Is -1 greater than 1/1381?
False
Is 0.1 <= 4/9?
True
Is 1155 greater than or equal to 1154?
True
Are 1 and -23/7 equal?
False
Is 18/7747 less than 1?
True
Is 1/590 <= -1?
False
Is -36/3503 less than 0?
True
Is -6 bigger than 1.23?
False
Which is smaller: 628 or 3134/5?
3134/5
Which is bigger: 4/97 or -1?
4/97
Which is smaller: -13 or -20?
-20
Is -0.76 > -81?
True
Are 2539 and 2538 equal?
False
Is -3/365 >= -1?
True
Which is smaller: -3583 or -3577?
-3583
Do -8895 and -8895 have different values?
False
Are 56 and 2472/43 non-equal?
True
Which is bigger: 393 or 1/7?
393
Is -3836 not equal to -3833?
True
Is -2/419 less than 0?
True
Are -404 and -405 nonequal?
True
Are 53/4 and -1 unequal?
True
Which is greater: 43 or 38?
43
Which is smaller: 9687 or 9685?
9685
Is 170 greater than 170?
False
Which is smaller: 150 or 155?
150
Which is bigger: 192 or 2?
192
Which is smaller: -1 or -34/49?
-1
Which is greater: 19 or 17?
19
Does -8 = -14?
False
Which is bigger: -10 or -15?
-10
Which is smaller: -0.963 or -7?
-7
Is 647 at most as big as 647?
True
Which is bigger: 7/374 or -1?
7/374
Do 24 and 446 have the same value?
False
Does 3569 = 3568?
False
Are -848/9 and -93 equal?
False
Is 26/5 equal to 4?
False
Is 1/4 equal to 0.619?
False
Do -1/17 and 2/11 have the same value?
False
Do 6/499 and 0 have the same value?
False
Which is smaller: -1/4 or 1054?
-1/4
Do 119 and 113 have the same value?
False
Which is bigger: 353/27 or 14?
14
Is 43 less than or equal to 50?
True
Are 0.56 and 0.1 unequal?
True
Which is bigger: 0 or -11/37?
0
Which is smaller: 24 or -91?
-91
Which is bigger: 2/5 or 15985?
15985
Are -886 and -886 equal?
True
Is -3/50 < -239?
False
Which is greater: 99 or 3?
99
Which is smaller: -119 or -356/3?
-119
Is -796 smaller than -796?
False
Is -16/87 equal to -1?
False
Which is bigger: 7 or 90/11?
90/11
Is 206/45 at least 4?
True
Does -3 = -48.4?
False
Is -1378 equal to -1378?
True
Which is greater: -1174 or -1175?
-1174
Is -2/825 <= 0?
True
Is -4 != -1133?
True
Which is smaller: -518 or -516?
-518
Which is bigger: -0.08 or 19?
19
Which is greater: -1/12 or 1?
1
Is -270 greater than -1/9?
False
Which is smaller: 6 or 785?
6
Which is bigger: -32 or -29?
-29
Whi | {
"pile_set_name": "DM Mathematics"
} |
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