text stringlengths 270 8.19k | meta dict |
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0*h**2 - h**2 - 2*h**2 + 0*h**2 - h**2 + 2*h**2 + (-11 + 7 + 8)*(3*h**2 + 2*h**2 - 6*h**2).
-6*h**2
Expand (48*q + 30*q - 111*q)*(1 + 0 + 1).
-66*q
Expand 3*c - 3*c - c**3 + (-1 + 1 + 7*c**3)*(-2 - 1 - 1).
-29*c**3
Expand (-t + 0*t + 2*t)*(4*t + 2 - 4*t + t).
t**2 + 2*t
Expand (2*q**2 + 0 + 0)*(-3*q + 2*q - q) + (0*q**2 - q**3 + 0*q**2)*(0 + 3 - 2) + 830*q + 15*q**3 - 830*q.
10*q**3
Expand -o + o - o**4 + (-5*o + 3*o + 3*o)*(-3*o**3 + 3*o**3 - 2*o**3) + (-o + 2*o - 2*o)*(5 - 3 - 1)*(-o**3 - 6*o**3 + 3*o**3).
o**4
Expand (-14*z**2 + 11*z**2 - 20*z**2)*(-3*z + 2*z + 0*z).
23*z**3
Expand (-3 + 0 + 1)*(-4*s - s**3 + 4*s) + (-s**2 + 2*s - 2*s)*(-2 + 3*s + 2).
-s**3
Expand -p + p + 2*p + (1 + 1 + 0)*(-4 + 4 + 7)*(-4*p + 3*p + 3*p).
30*p
Expand (n**3 - 3 + 3)*(1 + 0 - 2) + 8*n - 3*n**3 + 3*n**3 + 3*n**3.
2*n**3 + 8*n
Expand (0 - 17 - 11)*(-1 - 3 + 2)*(-2*l**2 + 3*l**2 - 3*l**2).
-112*l**2
Expand (-6*j - 6 + 6)*(0 + 0 + 2*j**2).
-12*j**3
Expand (r - 2*r + 0*r)*(-6 - 3 + 6 - 2*r).
2*r**2 + 3*r
Expand (-4*a**2 + 3*a**2 - 3*a**2)*(6 - 4 - 5).
12*a**2
Expand (-j**2 - 5*j**3 - j**2 - j**3)*(2*j**2 + 0*j + 0*j + (-3*j + 3*j - 3*j)*(-2*j + 4*j - j)) + 0 + 0 + 2*j**5.
8*j**5 + 2*j**4
Expand (0*d + 5*d + 0*d)*(-2*d**3 + 0*d**3 + 0*d**3).
-10*d**4
Expand (4*y + 11*y - 11*y)*(6 - 1 - 2).
12*y
Expand (2 - 2 - j)*(-2*j**2 + 23*j - 23*j + (-1 + 1 + j)*(j + 0 + 0)).
j**3
Expand (-12 + 12 - 5*v)*(-2 + 2 + 2).
-10*v
Expand (5*m + 2*m - 3*m)*(0*m**3 + 2*m**3 + 0*m**3) - 3 - m**4 + 3 + 2*m**4 + 0*m**3 + 0*m**3 - m**4 + 4*m**4 + 2*m - m**4.
11*m**4 + 2*m
Expand (o**2 - 3*o**2 - o**2)*(-4*o**3 + 0*o**3 - o**3).
15*o**5
Expand (-4*u + u + 5*u)*(-3 + 6 - 2) - 4*u - 10*u + 2*u.
-10*u
Expand (-f + 3*f - f + (-2 + 2 + f)*(-3 + 2 + 0) + 2*f - 5*f + f - 4*f + 3*f + 3*f + 0*f - f + 0*f)*(f + 2 + f - 3).
-2*f**2 + f
Expand (-1 - 1 + 0)*(-2 + 1 - 2)*(6*m - 5*m + m).
12*m
Expand 2 + 26*o - 2 + (0*o + 6*o - 4*o)*(0 + 3 - 4).
24*o
Expand (5*k**2 + 5*k**2 - 5*k**2)*(2 + 2 - 3)*(k**2 + 3*k**2 - 5*k**2).
-5*k**4
Expand (-3*h**2 + 2 - 2)*(3*h - h - 3*h) - 2*h**3 + 2*h**3 - h**3.
2*h**3
Expand i**4 - 3*i**4 + i**4 + (-3*i**3 + i**3 + i**3)*(i + 3 - 3) + 0*i**4 + 0*i**4 + 6*i**4 + (2 - i + 2*i**2 + i)*(3*i**2 - 6*i**2 - 4*i**2).
-10*i**4 - 14*i**2
Expand -3*w**3 + 5*w**3 + 2*w**3 + (6*w**3 - 55*w**2 + 55*w**2)*(1 - 4 + 1).
-8*w**3
Expand -5*y**3 + 4*y**3 - y**3 + (17 - 4*y - 17)*(3*y - 6*y**2 - 3*y) + (6*y**2 - 2*y**2 - 3*y**2)*(-2 + 2 - y).
21*y**3
Expand -4*m**2 + 0*m**2 + 3*m**2 + (1 + 1 - 4)*(-2*m**2 + 2*m**2 + m**2) + (5*m - 2*m - m)*(m - m + 2*m).
m**2
Expand (3*t**2 + 0*t**2 - t**2)*(t + 0*t - 4*t)*(8*t - 9*t - 3*t).
24*t**4
Expand (0*m**2 - 2*m**3 + 0*m**2)*(0 - 1 + 2) - 22*m**2 + 22*m**2 - 5*m**3.
-7*m**3
Expand (4*i - i - 5*i)*(-2*i**2 - 4 + 4)*(1 - 3 + 0).
-8*i**3
Expand 5*a - 3*a - 4*a - a**2 + (3 + 1 - 3)*(3*a**2 - a + a) + 11*a**2 - 15*a**2 - 8*a**2 + (-3*a - 2*a**2 + 3*a)*(-2 + 3 + 1) + 0*a + 0*a + 2*a**2.
-12*a**2 - 2*a
Expand (2 + 3 - 6)*(22 - 54 + 2*f + 11).
-2*f + 21
Expand (2*l**3 + l + 0*l - 3*l - 2*l**2)*(-5*l + 0*l + 2*l).
-6*l**4 + 6*l**3 + 6*l**2
Expand ((-2 + 4 - 3)*(4*c - 3*c - 3*c) - 3*c + 3*c + 2*c + c - 5*c + 2*c)*(-c**2 - 6*c**4 - 3*c**4 + 22*c**4).
26*c**5 - 2*c**3
Expand (3 - 4 - 1)*(-5 - 2*k + 5)*(1 + 1 - 5)*(-5 + 1 + 3).
12*k
Expand (d - d + 2*d**3)*(d**2 - 2*d + 2*d) + 6*d**5 - 30*d**5 + 53*d**5.
31*d**5
Expand (-1 - z**2 + 1)*(-2*z + 5*z - 5*z - 4).
2*z**3 + 4*z**2
Expand (-2*h + 7*h + 1 + 8*h)*(-5*h**3 + 3*h**3 - 3*h**3).
-65*h**4 - 5*h**3
Expand -12*i - 16*i + 19*i + (0 + 0 + i)*(-2 + 0 + 1).
-10*i
Expand (-4*r + 3*r + 5*r)*(-5*r + r + 3*r) + 0*r**2 - 4*r**2 + 3*r**2.
-5*r**2
Expand (2*v**2 + 0*v + 0*v)*(0*v**2 + v**2 + 0*v**2) - v**4 + v**4 - v**4 - v**4 + 0*v**4 - 6*v**4.
-6*v**4
Expand (1 - 1 - n**3)*(0 - 1 + 0) - 2*n**3 + 22*n**3 - 7*n**3.
14*n**3
Expand 1 + 3*f**4 - 1 + (-2*f**3 - 5*f**3 + 6*f**3)*(-5*f + 3*f + 3*f)*(1 - 1 + 2).
f**4
Expand (7*f + 2*f - 3*f)*(0 + 2 - 3)*(f**2 + 0*f + 0*f).
-6*f**3
Expand (6*h - 3*h - h)*(-2*h**2 - 3*h**2 + 3*h**2) + 5*h**3 - 3*h**3 + 8*h**3.
6*h**3
Expand (-22 + 18 + 13)*(0 + 3*c + 2 - 2*c).
9*c + 18
Expand (3*v - 2*v + 0*v)*(8 + 24*v - 8).
24*v**2
Expand (0*c - 4*c + 5*c)*(-6*c**4 + 3*c**4 + c**4) - 3*c**5 + 2*c**5 - c**5 + 2*c**5 - c + c - 8*c**5 + 22*c**5 + 6*c**5.
18*c**5
Expand (2*g + 4*g - 5*g)*(-1 + 1 - g) + 4*g**2 - 3*g**2 - 4*g**2 - 2*g**2 + g**2 + 2*g**2.
-3*g**2
Expand (-j + 2*j**2 + j)*(-201*j + 105*j + 223*j).
254*j**3
Expand (-3*x**2 - 4 + 2*x**2 + 3)*((2*x + 3*x - 4*x)*(2 + 2 - 2) - 14 + 14 + 23*x)*(x - 3*x + x).
25*x**4 + 25*x**2
Expand (-23*c - 26*c + c)*(2 + 1 - 1).
-96*c
Expand (83 - 27*s**3 - 83)*(-s - 2*s + 4*s).
-27*s**4
Expand -2*i**2 + 3*i**4 + 5*i**4 + 2*i**4 + (-2*i**2 + 2*i**2 + i**2)*(-3*i**2 + i**2 + 0*i**2).
8*i**4 - 2*i**2
Expand ((1 + 2*h - 1)*(8 - 3 - 2) + 2*h - 2*h - h + 2*h - 3*h + 0*h + h + 0*h - 2*h)*(-2*h + 0*h + 3*h + (2 - h - 2)*(-1 - 3 + 1)).
12*h**2
Expand 5*p - 2*p**5 - 5*p + (1 + 2 + 4)*(-9*p**5 - 2*p**5 + 2*p**5).
-65*p**5
Expand (-17 + 17 - 16*a**3)*(7*a - a - 4*a).
-32*a**4
Expand -4*d**2 + d**2 + 4*d**2 + (17*d + 16*d - 2*d)*(4*d - d - 2*d - 1).
32*d**2 - 31*d
Expand (16 - 5 + 0)*(-2*q + 0*q + 3*q).
11*q
Expand 9*b**3 + b**4 - 9*b**3 + 3*b**3 + b**4 - 3*b**3 - 5*b**4 + 2*b**3 - 2*b**3 + (-4 + 2 + 4)*(3*b**4 + b**4 - 3*b**4).
-b**4
Expand 3*p + 2*p - 4*p + (4 - 4 - p)*(2 - 3 - 1) - 17*p + 40 - 40.
-14*p
Expand 0*h**3 - 3*h**3 + 4*h**3 + (4 - 2*h - 4)*(h**2 - 3*h**2 + 0*h**2) - 2*h**3 + h**3 + 0*h**3.
4*h**3
Expand -5*r**2 + r**4 + 5*r**2 + (-r + r + r)*(-5*r**3 + 3*r**3 - 6*r**3) + 2*r**4 - 2 + 2.
-5*r**4
Expand -5*a**5 + 0*a**5 + 2*a**5 + (2*a + 2 - 2)*(2*a**4 - 3*a + 3*a) + 3 - a**5 - 3 - 2*a**5 + 0*a**5 + 4*a**5 - a**3 - 2*a**3 + 5*a**3 + a**5.
3*a**5 + 2*a**3
Expand (-6*n + 4*n + 0*n)*(2*n**3 + 7*n - 7*n) - 4*n**4 + 0*n**4 + 0*n**4.
-8*n**4
Expand (1 + 2 - 6)*(-5*j**3 + 3*j**3 + 0*j**3 + 3*j**2).
6*j**3 - 9*j**2
Expand (7*d - 2*d - 3*d)*(-3*d + 6 - 6) + d**2 - 3 + 3 + (4*d**2 + 4 - 4)*(5 - 1 - 2).
3*d**2
Expand -a**3 - a**3 + 3*a**3 + (-a - 2*a**3 + a)*(-3 + 0 + 5) + 3 - 3 + a**3 - 3*a + 3*a**3 + 3*a.
a**3
Expand (1 - 3 + 1)*(3*q - q - q)*(4 - 4 + 11)*(-5*q**2 + 4*q**2 + 2*q**2).
-11*q**3
Expand -2*u**2 + 0*u**2 + u**2 + (2*u - 3*u - u)*(-3 + 2*u + 3) - 3*u**2 + 5*u**2 - 3*u**2 + (-2*u**2 - 1 + 1)*(-4 + 0 + 2) - 5 + 5 - 9*u**2.
-11*u**2
Expand (-4*c - 5*c + 8*c)*(-3 + 2 - 1).
2*c
Expand (0 + 0 - 3*l - 2 + 2 - l + 0*l + 2*l + 0*l + (3*l - l - 4*l)*(1 - 1 - 1) - l - l + 0*l + 0*l - l + 2*l)*(2 - 2 + 2*l)*(-l + 0*l + 3*l).
-4*l**3
Expand (30*y - 4*y**2 - 30*y)*(2*y**2 + 3*y**2 - 3*y**2).
-8*y**4
Expand (-3*g + 3*g + 2*g)*(-5*g**3 + g**3 - 2*g**3) + 3*g**3 - 3*g**3 + 2*g**4.
-10*g**4
Expand (-5 + 5 + 6)*(5 - 9 + 10)*(u**2 - 3*u**2 + 3*u**2).
36*u**2
Expand -5 + 5 + 2*m + (0 + 0 + 2*m)*(3 + 1 - 2) + 4 - 4 + m - m + 5*m - 3*m + 1 - 1 + 2*m + (1 + 0 - 3)*(6*m + 0*m - 3*m) + 4*m + m - 4*m.
5*m
Expand -2*w**3 + 3 - 3 + (0*w**2 + w**3 + 0*w**2)*(0 - 4 + 0) - 3*w**3 + 7*w**3 - 2*w**3 + (-3*w**2 - 4*w**2 + 5*w**2)*(3*w + w - 2*w).
-8*w**3
Expand (5*f**2 - 2*f**4 - 5*f**2)*(3 + 1 - 5) + f**4 - 2*f**4 + 3*f**4 - f**4 + 4*f**4 - 8*f**4.
-f**4
Expand (1 + 0 + 1 + (-1 + 2 + 0)*(1 - 2 + 2))*(3*j - 10*j - 6*j).
-39*j
Expand (y**5 + 2*y**5 - 2*y**5)*(3 - 2 - 3) + (-3 + 8*y + 3)*(-y**2 + y**2 + y**4).
6*y**5
Expand 2*h**4 + 3 - 3 + (2*h**3 - 5*h**3 + 2*h**3)*(3*h - 2*h - 3*h) - 2*h**4 + 2*h**4 + h**4.
5*h**4
Expand (-5 + 0 - 4)*(-4*o - 2*o + o).
45*o
Expand (-4 + 12 + 3)*(-3*l**3 - l**3 + 2*l**3).
-22*l**3
Expand 9*u**5 - 2*u**5 + 0*u**5 + (-4*u**2 - 2*u**3 + 4*u**2)*(-6*u + 2*u + 3*u)*(-2 - 2*u + 2).
3*u**5
Expand (9*d**2 + d - 13*d**2 + 21*d**2)*(4 - 2*d - 4).
-34*d**3 - 2*d**2
Expand (o + 0*o - 3*o)*(0 + 0 - 1) + (-2 + 3 - 2)*(4*o - o - o) - 2*o - o + o + o + 0*o - 3*o - 4*o + 6*o - 4*o.
-6*o
Expand (-m - 4*m + 6*m + (m + 3 - 3)*(-4 + 2 + 0) - 3*m - m + 3*m)*(-5*m + 3*m + 0*m).
4*m**2
Expand (-4 + 4 + 2*g)*((0 + 0 + 2)*(0*g + 2*g + g) + (2*g - 6*g + g)*(-4 + 2 + 1)).
18*g**2
Expand (-r + 7*r - r)*(4 - 4 + 3*r**3) + 3*r**3 - r**4 + 2 - 7*r**2 + 7*r**2.
14*r**4 + 3*r**3 + 2
Expand ((0*s + s + 0*s)*(-1 + 1 - s**2) + 1 - 1 - 2*s**3 + 2*s**3 - 28 + 28)*(-2*s + 2*s - 2*s).
2*s**4
Ex | {
"pile_set_name": "DM Mathematics"
} |
1013.
71, 113, 131
What are the prime factors of 21040?
2, 5, 263
What are the prime factors of 710670?
2, 3, 5, 23689
What are the prime factors of 18084?
2, 3, 11, 137
What are the prime factors of 235018?
2, 7, 16787
List the prime factors of 36245617.
36245617
What are the prime factors of 68947?
68947
List the prime factors of 3036693.
3, 11, 17, 5413
List the prime factors of 1372960.
2, 5, 8581
What are the prime factors of 109887?
3, 36629
List the prime factors of 2717582.
2, 7, 194113
What are the prime factors of 97685?
5, 7, 2791
What are the prime factors of 289014?
2, 3, 11, 29, 151
What are the prime factors of 2892202?
2, 479, 3019
List the prime factors of 6091059.
3, 13, 47, 3323
List the prime factors of 209820.
2, 3, 5, 13, 269
List the prime factors of 192158.
2, 96079
What are the prime factors of 197827?
7, 59, 479
What are the prime factors of 29633703?
3, 11, 17, 101, 523
List the prime factors of 608613.
3, 37, 5483
List the prime factors of 971981.
971981
List the prime factors of 1645170.
2, 3, 5, 29, 31, 61
List the prime factors of 1003054.
2, 13, 173, 223
What are the prime factors of 5646050?
2, 5, 112921
List the prime factors of 20305.
5, 31, 131
List the prime factors of 149796.
2, 3, 19, 73
List the prime factors of 13631.
43, 317
What are the prime factors of 16683849?
3, 7, 13, 1567
List the prime factors of 6120012.
2, 3, 223, 2287
List the prime factors of 1230552.
2, 3, 211
List the prime factors of 439567.
439567
What are the prime factors of 287606?
2, 11, 17, 769
List the prime factors of 16668.
2, 3, 463
List the prime factors of 36975931.
283, 130657
What are the prime factors of 641757?
3, 213919
What are the prime factors of 296986?
2, 163, 911
List the prime factors of 149467.
137, 1091
List the prime factors of 6796484.
2, 1171, 1451
What are the prime factors of 1424939?
1424939
What are the prime factors of 96192?
2, 3, 167
List the prime factors of 9809068.
2, 17, 67, 2153
What are the prime factors of 28349037?
3, 29, 47, 2311
What are the prime factors of 1157193?
3, 42859
What are the prime factors of 41005?
5, 59, 139
What are the prime factors of 77886?
2, 3, 4327
What are the prime factors of 419214?
2, 3, 109, 641
What are the prime factors of 1968466?
2, 157, 6269
What are the prime factors of 51519?
3, 13, 1321
What are the prime factors of 961325?
5, 38453
List the prime factors of 5012572.
2, 97, 12919
What are the prime factors of 14540154?
2, 3, 2423359
List the prime factors of 6130691.
7, 97, 9029
What are the prime factors of 377552?
2, 7, 3371
What are the prime factors of 12772842?
2, 3, 113, 18839
List the prime factors of 15339209.
15339209
What are the prime factors of 9397240?
2, 5, 234931
List the prime factors of 1032598.
2, 7, 73757
What are the prime factors of 846722?
2, 23, 79, 233
List the prime factors of 7891775.
5, 315671
List the prime factors of 124989.
3, 61, 683
List the prime factors of 13727059.
13727059
List the prime factors of 645320.
2, 5, 13, 17, 73
List the prime factors of 18134606.
2, 7, 211, 877
What are the prime factors of 13732052?
2, 67, 51239
List the prime factors of 897071.
7, 128153
What are the prime factors of 852349?
41, 20789
List the prime factors of 246087.
3, 37, 739
What are the prime factors of 1809477?
3, 107, 1879
List the prime factors of 3470653.
3470653
What are the prime factors of 221479?
241, 919
List the prime factors of 770859.
3, 97, 883
What are the prime factors of 239618?
2, 119809
List the prime factors of 4333368.
2, 3, 13, 17, 19, 43
What are the prime factors of 601731?
3, 13, 37, 139
What are the prime factors of 1557351?
3, 173039
List the prime factors of 990607.
17, 58271
What are the prime factors of 2585329?
47, 67, 821
List the prime factors of 163385.
5, 41, 797
List the prime factors of 15396545.
5, 23, 5821
What are the prime factors of 804804?
2, 3, 7, 11, 13, 67
What are the prime factors of 5968?
2, 373
What are the prime factors of 1171374?
2, 3, 195229
What are the prime factors of 19014045?
3, 5, 307, 4129
What are the prime factors of 20009256?
2, 3, 833719
What are the prime factors of 162433?
127, 1279
List the prime factors of 1635529.
7, 31, 7537
List the prime factors of 8666233.
139, 62347
What are the prime factors of 255861?
3, 28429
List the prime factors of 105433.
59, 1787
What are the prime factors of 11960487?
3, 7, 11, 523
List the prime factors of 25423109.
17, 1495477
List the prime factors of 440869.
11, 13, 3083
What are the prime factors of 2302831?
1433, 1607
What are the prime factors of 6904636?
2, 1726159
What are the prime factors of 158545?
5, 37, 857
List the prime factors of 20717672.
2, 31, 139, 601
What are the prime factors of 648776?
2, 81097
What are the prime factors of 420931?
7, 60133
What are the prime factors of 844959?
3, 281653
What are the prime factors of 11378?
2, 5689
List the prime factors of 27368.
2, 11, 311
List the prime factors of 837772.
2, 13, 16111
What are the prime factors of 4424793?
3, 37, 39863
What are the prime factors of 5330659?
19, 280561
What are the prime factors of 1195089?
3, 7, 56909
List the prime factors of 123158.
2, 7, 19, 463
List the prime factors of 14507981.
149, 97369
List the prime factors of 85816.
2, 17, 631
List the prime factors of 730186.
2, 331, 1103
List the prime factors of 675859.
675859
What are the prime factors of 584428?
2, 13, 11239
List the prime factors of 4901151.
3, 17, 5653
List the prime factors of 11615564.
2, 653, 4447
What are the prime factors of 4006684?
2, 11, 41, 2221
What are the prime factors of 5322328?
2, 11, 31, 1951
What are the prime factors of 309567?
3, 19, 5431
What are the prime factors of 236170?
2, 5, 11, 19, 113
List the prime factors of 811506.
2, 3, 211, 641
List the prime factors of 581329.
7, 83047
What are the prime factors of 15562710?
2, 3, 5, 19, 479
List the prime factors of 1185998.
2, 11, 31, 37, 47
List the prime factors of 1051990.
2, 5, 105199
What are the prime factors of 19409393?
17, 19, 60091
List the prime factors of 2302432.
2, 11, 31, 211
What are the prime factors of 12895646?
2, 367, 17569
What are the prime factors of 2890120?
2, 5, 72253
List the prime factors of 639788.
2, 307, 521
What are the prime factors of 50636?
2, 12659
What are the prime factors of 2905033?
2905033
What are the prime factors of 7395357?
3, 17, 145007
What are the prime factors of 43124944?
2, 47, 57347
What are the prime factors of 586545?
3, 5, 39103
What are the prime factors of 1086469?
1086469
List the prime factors of 34485.
3, 5, 11, 19
List the prime factors of 8192999.
8192999
List the prime factors of 3766910.
2, 5, 7, 53813
List the prime factors of 120662.
2, 60331
List the prime factors of 12914183.
67, 192749
List the prime factors of 5187349.
313, 16573
What are the prime factors of 19502565?
3, 5, 31, 41941
List the prime factors of 4074952.
2, 7, 72767
List the prime factors of 252752.
2, 15797
What are the prime factors of 329181?
3, 179, 613
List the prime factors of 245513.
245513
What are the prime factors of 460798?
2, 13, 37, 479
List the prime factors of 7778863.
53, 317, 463
List the prime factors of 3869022.
2, 3, 644837
List the prime factors of 537388.
2, 37, 3631
What are the prime factors of 17767742?
2, 2161, 4111
What are the prime factors of 214230?
2, 3, 5, 37, 193
List the prime factors of 28376307.
3, 709, 4447
List the prime factors of 1438621.
863, 1667
List the prime factors of 11551739.
73, 158243
What are the prime factors of 1140566?
2, 7, 257, 317
What are the prime factors of 1125723?
3, 17, 22073
List the prime factors of 374230.
2, 5, 37423
What are the prime factors of 1982333?
977, 2029
What are the prime factors of 172710?
2, 3, 5, 19, 101
List the prime factors of 316561.
7, 41, 1103
What are the prime factors of 7543999?
67, 109, 1033
List the prime factors of 6086455.
5, 241, 5051
What are the prime factors of 2964374?
2, 7, 211741
What are the prime factors of 196614?
2, 3, 11, 331
What are the prime factors of 15769076?
2, 23, 171403
List the prime factors of 3783503.
17, 457, 487
What are the prime factors of 960163?
31, 47, 659
List the prime factors of 191772.
2, 3, 7, 761
List the prime factors of 2954092.
2, 738523
W | {
"pile_set_name": "DM Mathematics"
} |
2))*(-372*z - 7628*z + 243*z) to the form q*z**3 + y*z**2 + g + i*z and give q.
-7757
Express 3*q + 3*q**4 - 3*q + (51 - 61 - 28)*(-2 + 3*q**4 + 2) - 4*q**4 + 4*q**4 + 2*q**4 in the form u + w*q**3 + n*q + i*q**2 + y*q**4 and give y.
-109
Express (7640*l - 244997 + 244997)*(l + 0 + 0) in the form t + v*l + f*l**2 and give f.
7640
Express (-286644*g + 285582*g - 3 + 7)*(-1 + 0 + 3) as o*g + q and give q.
8
Express 3213*l**2 + 177*l - 151*l - 26*l in the form i*l + g + u*l**2 and give i.
0
Rearrange -27*v + 54 + 277*v**3 + 3*v**2 - 278*v**3 - 58 to n*v + y + h*v**2 + c*v**3 and give h.
3
Express -6*w**2 + w**2 - 1 - 375865*w**3 + 375843*w**3 - w in the form z*w + j + a*w**3 + m*w**2 and give m.
-5
Express -3*b - 285313*b**3 - 2*b + 283759*b**3 in the form c*b**2 + w*b**3 + y*b + s and give y.
-5
Rearrange -31 - 39 - 2*a - 35 + 162 - 46 - 21*a**2 to the form n*a + w + r*a**2 and give r.
-21
Express -313*o**3 - 48*o**2 + 152 + 319*o**3 + 43*o**2 - 9 in the form h*o + a*o**2 + d*o**3 + b and give b.
143
Rearrange (290 - 99970*a - 1133 + 283 + 270 + 290)*(0*a - 4*a + 6*a) to r*a + b*a**2 + s and give r.
0
Express -46 + 20 + 1298*u**2 + 19423*u**2 + 26 as p*u**2 + j*u + o and give p.
20721
Express (-132*f**3 + 257*f**3 - 137*f**3)*(4*f + 0*f - f) + (f - 1 + 1)*(5*f**3 - 4*f**3 + 0*f**3) as w*f**4 + i*f + y*f**3 + r*f**2 + k and give w.
-35
Rearrange 47*w**3 - 142638*w - 6*w**2 + 6*w**2 - 2*w**4 + 142599*w to h*w**4 + x + c*w**2 + g*w + o*w**3 and give h.
-2
Rearrange (-4 + 4 + 2*k)*(-2 + 2 - 4)*(6824*k**2 - 6814*k**2 + 950*k**3 - 951*k**3 - 756) to the form f*k**3 + y + v*k**2 + l*k**4 + w*k and give l.
8
Express -1 + 2*r**2 + 8*r + 169*r**4 + 5 + 3*r**3 + 2 - 165*r**4 - 17*r in the form y*r + f*r**3 + x*r**2 + v + u*r**4 and give v.
6
Rearrange (4313 - 10261 + 5264 - 7191 - 9593 - 10211)*(-1 + 1 - 3*o**2) to l*o + n*o**2 + u and give n.
83037
Express 1 - 2*i**3 - 231*i**4 - 26*i**4 + 19*i**2 - 729*i**4 + 90*i**4 - 21*i**2 as u*i + o*i**4 + d*i**3 + g*i**2 + y and give g.
-2
Rearrange -160*h - 399*h + 22*h - 404*h to f*h + t and give f.
-941
Express (-2*o**2 - 3*o + 3*o)*(-2 - 2*o + 2) + 9518*o**2 + 3*o**3 - 1050*o + 1051*o - 5154*o**2 as d*o**2 + q*o + i + f*o**3 and give f.
7
Express (6693*y - 676*y + 3778*y - 329*y)*(-4*y**2 - y**2 + 4*y**2) as g*y**2 + m*y + r*y**3 + h and give r.
-9466
Rearrange -59 + 60 - 1281*r**2 + 3033*r**2 to the form l + q*r + d*r**2 and give d.
1752
Express -185*w**2 + 9 + 7 + 39*w**2 - 150*w**2 - 138*w**2 in the form z*w**2 + q*w + b and give z.
-434
Express l**4 + 6*l**3 + l**2 + 2*l + 278645 - 3*l**3 - 278653 as m + o*l**4 + q*l + j*l**2 + d*l**3 and give d.
3
Express 1633*g**2 + 12429*g**2 - 3753*g**2 in the form k*g**2 + x + n*g and give k.
10309
Express 18960250*c - 18 - c**2 - 18960245*c - 33*c**2 in the form b*c**2 + q + n*c and give q.
-18
Rearrange (-34*q**3 + q + 29*q**3 + 2*q)*(80 - 80 + 180*q) to j*q + i*q**3 + w*q**2 + l + o*q**4 and give w.
540
Rearrange 27656*x**3 - 7 - 13830*x**3 - 13828*x**3 + 10*x + 3*x**4 - 5*x**2 to the form k*x**2 + q*x**4 + r + i*x + s*x**3 and give k.
-5
Rearrange -c - 31*c**3 + 13*c**4 - 40*c**3 - 32*c**3 + 108*c**3 - 2 to w*c**2 + g*c**3 + i*c**4 + f + t*c and give t.
-1
Express -10 - 12850*j**2 + 6467*j**2 + 6489*j**2 - j**3 in the form x*j**2 + f*j + g + h*j**3 and give g.
-10
Express 1222 + 996 + 0*s**2 - 2*s**2 - 527 as w*s**2 + k + z*s and give k.
1691
Express 29*o**2 + 2 - o + 33*o**2 + 66*o**3 - 1 - 48*o**3 + 0*o**2 as j*o**2 + c*o**3 + f + x*o and give f.
1
Express (-3 - 2*t + 3)*(7 - 4 + 0)*(178*t + 246*t + 75*t) as u*t**2 + z*t + h and give z.
0
Rearrange -6177*y - 444*y**2 + 3082*y + 3088*y to v + m*y**2 + c*y and give m.
-444
Express -2*f**2 - 285*f**3 + 6*f**2 + 3*f + 156*f**3 - 4*f + 155*f**3 - 3 as g*f + u + h*f**2 + n*f**3 and give n.
26
Express 13099*z**2 + 12372*z**2 - 323 + 323 as t*z**2 + g + w*z and give t.
25471
Rearrange -201*s**2 - 1506*s**2 - 1061*s**2 to p*s**2 + u*s + l and give p.
-2768
Rearrange y**2 + 120058*y + 120065*y - 240137*y - 24*y**3 to s*y + p*y**3 + i*y**2 + r and give p.
-24
Rearrange -2914*t**3 + 0 - 502*t**3 + 0 + 149*t**3 + (-3 + t + 3)*(11*t - 11*t + 13*t**2) to the form m*t**2 + f + s*t + z*t**3 and give z.
-3254
Express -4829*g**2 - 3457*g**2 + 1512*g**2 in the form l*g**2 + u*g + o and give l.
-6774
Express (-38*p + 130*p + 47*p)*(3*p**2 - 12*p**3 + 7*p**3 - p**2) in the form a*p + q*p**2 + c + m*p**4 + s*p**3 and give m.
-695
Rearrange 38*t**2 + 1818*t**2 + 3170*t**2 to the form q + g*t**2 + d*t and give g.
5026
Rearrange (-18*d + 18*d + 40*d**2)*(22 - 1308*d - 176 + 1307*d) to c + o*d**2 + h*d**3 + v*d and give h.
-40
Rearrange 10*q**4 - 7*q**3 + q**3 - 7 - 2*q**2 + 11 + 3*q**3 + 6*q**3 + 3*q to the form b*q**2 + l + p*q + i*q**4 + r*q**3 and give p.
3
Rearrange 728 + 165*k - 690 + 213*k + 0*k to the form z + u*k and give u.
378
Express -9152*n - 38*n**2 + 12*n**2 + 20*n**2 + 7*n**2 in the form u*n**2 + t*n + a and give u.
1
Rearrange 51*m + 54*m - 197*m + 56*m + 49*m + 121 to b*m + n and give b.
13
Rearrange -44 - 42 + 84 + 1268*j + 2 to q + b*j and give b.
1268
Express (-1381 - 2314 - 1813)*(-c + c + 3*c) as k + q*c and give q.
-16524
Rearrange -15*q - 32*q - q**3 + 23528364*q**2 + 2*q**3 - 2 - 23528433*q**2 to n*q**2 + g + h*q**3 + k*q and give h.
1
Rearrange 138739*o + 138738*o - 7372*o**2 - 277477*o to y*o + l + k*o**2 and give k.
-7372
Express -4804*n**2 + 1 - n**3 + 2421*n**2 + 4*n + 2382*n**2 + n**4 in the form a*n**4 + l*n**3 + r + o*n + w*n**2 and give a.
1
Express (t**2 + 0*t**2 - 2*t**2)*(-3720 + 3720 + 10263*t) in the form a + m*t**3 + i*t + p*t**2 and give m.
-10263
Express -301 + 24*n**2 + 463 - 160 as r*n**2 + a*n + y and give y.
2
Rearrange (243*q + 375*q + 38*q)*(-3 + 0 + 6)*(q - q - 3*q**2) to y*q**3 + g + h*q**2 + s*q and give y.
-5904
Rearrange 15*l**4 - l**2 + 2 + 23*l - 62*l**3 - 26*l - 16*l**4 - 151*l**3 to a + x*l**2 + o*l + t*l**3 + p*l**4 and give a.
2
Express 32*g**2 - 1074*g - 44*g**2 + 936*g + 52*g**2 + 11*g**2 in the form n*g**2 + k + p*g and give p.
-138
Rearrange (14*c**2 + 49*c**2 + 0*c**2)*(-c + 3*c + 0*c)*(-3 - 6 - 4) to r*c**2 + g + n*c**3 + o*c and give n.
-1638
Express (-4*b - 11*b + 7*b)*(-b**2 + 0*b + 0*b) - b**3 - 5*b**3 + 4*b**3 - 16*b**2 + 17*b**3 - 29*b**3 + 26*b**3 as g*b + p + n*b**2 + y*b**3 and give y.
20
Express -100*p + 76*p**2 + 100*p + 2 + 951*p**2 as o*p**2 + l + t*p and give l.
2
Express -45442*h + 87213*h - 31252*h as n + m*h and give n.
0
Express (-3 - 1 + 3)*(-3*i**3 - 3*i**3 + 5*i**3) + 501*i - 1082*i - 241*i**3 + 559*i as n*i + r + y*i**2 + z*i**3 and give n.
-22
Express -15*z**2 - 9725*z + 4861*z + 4862*z + 1 - 3*z**4 + z**3 in the form a*z + g*z**2 + l + n*z**4 + t*z**3 and give l.
1
Rearrange (0 - b + 0)*(3165*b**3 + 6897*b**3 + 10576*b**3 + 1824*b**3) to m*b + n*b**3 + q + k*b**2 + c*b**4 and give c.
-22462
Express (-3 + 2*l + 3)*(0 - 1 + 2)*(26*l**3 - 19*l**3 + 1216*l**3) as g*l**3 + q*l**2 + w + p*l**4 + m*l and give p.
2446
Rearrange -5*d**3 - 606*d + 6*d**3 - 432*d - 479*d - 196*d to the form i*d**3 + y + z*d**2 + b*d and give i.
1
Express -1615*n**3 + 11*n**2 - 11*n**2 + 14653 - 14651 in the form y*n**3 + d*n + b + s*n**2 and give y.
-1615
Rearrange 18 + 32*i + 2 - 13 + 39 to w*i + a and give a.
46
Express 4530 - 4*f**2 - 4710 + 2*f**2 as d*f + u*f**2 + r and give u.
-2
Rearrange (-9 + 1 + 1)*(1463 + 1954 + 700 + 2128)*(-2*u - 4 + 4) to k*u + c and give k.
87430
Rearrange -9*s + 628*s**3 + 80*s - 22*s - 20*s - 23*s to f*s + y*s**3 + t + n*s**2 and give f.
6
Rearrange (-4 - 5 + 1)*(232 - 458 + 2*o**2 + 230) to the form m + r*o + x*o**2 and give x.
-16
Express -4*w**4 - 1601522*w + 1601520*w + 30*w**3 + 9*w**4 + 10*w**4 - 3*w**4 in the form y*w**4 + j*w + x + f*w**2 + l*w**3 and give l.
30
Express -95*n + 324*n + 448*n as v*n + p and give p.
0
Express -d + 19 - 143 - 3*d**3 + 64 - 2*d**4 - 35 as m*d**3 + f*d + s*d**2 + p + i*d**4 and give m.
-3
Express -9*x**3 + 14944 - 3*x**2 + 5*x**3 + x - 14928 + 2*x**2 as i*x**2 + b + y*x + s*x**3 and give i.
-1
Rearrange (0*i + 0*i + i)*(762*i - 102 - 757*i - 23) + 2*i**2 - 4*i**2 + 3*i**2 to r*i**2 + s*i + j and give s.
-125
Express 10 - 21*u - 35*u + 53*u - 2*u**3 + u**2 as v*u**3 + a*u + y*u**2 + m and give y.
1
Rearra | {
"pile_set_name": "DM Mathematics"
} |
increasing order.
a, -3/2, -1/5
Let c = -164.38 - -164.18. Sort c, 37.3, -11 in increasing order.
-11, c, 37.3
Suppose 13*g + 22 = -251. Let k = g - -23. Sort k, 3, 7 in ascending order.
k, 3, 7
Suppose 0 = -5*n + 11 + 4. Let k be 14/12 - (-1)/n. Let f = 307.72 + -308.12. Sort k, -0.3, f in ascending order.
f, -0.3, k
Suppose -8*w - 9 = -3*w + 3*j, -4*w - 14 = -j. Let y be (w + 4)*3 - 2. Put 4, y, -4 in descending order.
4, y, -4
Suppose 0 = -2*k + 2*u - 12, -5*k + u + 28 = 54. Put -19, -9, 2, k in increasing order.
-19, -9, k, 2
Suppose -310920*b - 155 = -311075*b. Let x = 3 - -12. Suppose 2*u = 2*d + 14, -6*d - 5*u - x = -d. Sort 5, d, -6, b in increasing order.
-6, d, b, 5
Let f be 1 + 16 + 2 + -22. Sort f, -4, -2, -18.
-18, -4, f, -2
Let f = -1251 - -1243. Put -5, 2, f in descending order.
2, -5, f
Let t = -710269/67 - -10601. Put 0.2, t, 22 in decreasing order.
22, 0.2, t
Let a = 4623 - 4628. Put 0.01, a, 0.2 in increasing order.
a, 0.01, 0.2
Let m = 6766 + -7255. Put 4, m, 0 in descending order.
4, 0, m
Let b = -18355 + 18363. Sort b, -42/11, 1, 4 in descending order.
b, 4, 1, -42/11
Let f = -14.2 - -1.2. Let m = -179.1 + 179. Let w = 1.4 - -0.6. Put m, w, -0.5, f in decreasing order.
w, m, -0.5, f
Let t = -7.4 + 11. Let j = -3344 - -3347.2. Let x = t - j. Put x, 1/3, -2 in decreasing order.
x, 1/3, -2
Let g = 0.2228 - -0.2772. Let t be (-19)/(-6) + 12/(-18). Put 2/7, 4, t, g in increasing order.
2/7, g, t, 4
Let x = -7.282 + 6.782. Put 0, x, -2, -31/3 in descending order.
0, x, -2, -31/3
Let r = -33.7 + 30.9. Let v = -2.9 - r. Sort -2, -6, v.
-6, -2, v
Suppose 4178*y - 4193*y = 75. Put 187, 0, -2, y in descending order.
187, 0, -2, y
Let r = 3278 + -3277.5. Let s be 2 - 1 - 0 - -2. Let a = 1/46 - 13/69. Put r, s, a in increasing order.
a, r, s
Suppose 0 = 11*n - 2316 + 666. Suppose 4*g + 132 = -2*q, 0*g - 5*q + n = -5*g. Sort g, 0, -5 in increasing order.
g, -5, 0
Suppose -41*k + 33*k = -152. Let l(m) = 2*m - 38. Let c be l(21). Sort k, -2, c in increasing order.
-2, c, k
Let a = -25.751 - -25.551. Sort -24, a, -1, 6/11.
-24, -1, a, 6/11
Let r(y) = -y**3 + 14*y**2 - 13*y - 9. Let s be r(13). Let x = s + 9. Suppose -4*v = 2*k + 2, -3*v - 3*k - 9 = -x. Sort 3, v, 5 in increasing order.
v, 3, 5
Let b = 1150 - 1154. Let a = 40 - 24. Let r = 18 - a. Put b, r, -0.1, -3 in ascending order.
b, -3, -0.1, r
Let g(y) = -5*y + 87. Let c be g(26). Let r = 41 + c. Put r, -5, 6 in increasing order.
-5, r, 6
Let i be 178/(-801) - (-80)/(-6)*(-4)/150. Sort 4/9, -1/5, i, 7 in decreasing order.
7, 4/9, i, -1/5
Let m = 103 + -102.529. Let r = m - -0.049. Let j = r - 1.52. Sort j, 0.4, 3.
j, 0.4, 3
Suppose -m + 15 = 4*l, 3*l = -131*m + 126*m + 24. Suppose 4*u - 68 = -0*u. Sort -0.1, -1, u, l.
-1, -0.1, l, u
Let b be (3 + -4)/(352/1210 + 1/(-11)). Sort 5, b, 20, 16.
b, 5, 16, 20
Let t = 12 - -3. Let u = -123 - -145. Suppose 0 = -8*h - 2 - u. Put 2/9, h, t, 0.5 in descending order.
t, 0.5, 2/9, h
Let t = -0.0722 + 0.0722. Sort 2/3, -1/5, t, 34 in decreasing order.
34, 2/3, t, -1/5
Let d = -1 + 0. Let p = 106953791/221 - 483950. Let f = p - 51/13. Put -0.5, f, d in decreasing order.
f, -0.5, d
Let l be 2*(-72)/(-5) - 20/(-100). Suppose -3*i = -3*t + 27, -6*t + i + l = -t. Sort 4, t, 0, -53 in ascending order.
-53, 0, 4, t
Suppose c = 3*b - 24 + 15, 0 = 3*c - b - 5. Suppose 0 = 5*f - 5*m - 10, 0 = 5*f - 3*f + c*m - 19. Suppose -4 = -3*q + 2. Sort q, -5, -4, f in descending order.
f, q, -4, -5
Suppose -2*g = -5*u - 26, -4*u + 5*g + 3 = 34. Sort -1, 4, u, 2, 0.
u, -1, 0, 2, 4
Let t(y) = -3*y**2 - 15*y - 3. Let j be t(-5). Let f = -45.23 + 3.93. Let d = 41 + f. Put d, j, 2, -1/3 in decreasing order.
2, d, -1/3, j
Let g(f) = 33*f + 2307. Let u be g(-70). Put -25, -11, 5, u in ascending order.
-25, -11, u, 5
Let g = -2.6 + 0.55. Let r = g + 0.05. Let n = -40/123 - -446/615. Put n, 0.02, r in ascending order.
r, 0.02, n
Let l be (-68)/(-7) - 16/(-56). Suppose -2*j - 8 = 12. Let s be (-3)/5 + 14/j. Put s, l, -1 in descending order.
l, -1, s
Let g be ((-76)/(-20) + -3)*50/20. Put -30, 3, -1, g, -4 in ascending order.
-30, -4, -1, g, 3
Let a be ((-8)/9 - (-22)/99)*-6. Suppose 16 = a*g, 5*g - 10 = -0*q + 2*q. Let y be -4 + (-25)/q + 5. Sort y, 0, -9.
-9, y, 0
Let u(t) = -t**3 - 15*t**2 + 52*t + 604. Let v be u(-16). Sort -5, v, 5, -3 in descending order.
v, 5, -3, -5
Suppose 784 = 5*l + 44*l. Suppose -2*p + 3 = -u, 0 - 2 = -3*p + 2*u. Let q be l/(-10) + (p - (-102)/(-30)). Put -5, q, 1, 5 in increasing order.
-5, q, 1, 5
Let o(h) = h**2 - 25*h + 158. Let g be o(13). Put 1, -278, g in decreasing order.
g, 1, -278
Let u = 2/36487 - 72992/328383. Put 3/10, 166, u in ascending order.
u, 3/10, 166
Let q = -5/163 - -501/5705. Let l = 179/70 - q. Let a = 3.95 + 0.05. Put -10, 3, a, l in decreasing order.
a, 3, l, -10
Let q = 171 + -170.674. Let h = q + 0.174. Sort -6, -1/5, h in increasing order.
-6, -1/5, h
Let n = -127.634 + 127.334. Let g = 335.0544 + -0.0544. Sort g, n, 1 in increasing order.
n, 1, g
Let p(x) = 24*x - 37. Let o be p(2). Let z be 1/2*(13 - o). Sort -4, z, 5 in descending order.
5, z, -4
Let u = -2.7 - -0.7. Let w be (-24)/10*65/(-26). Let m = -12 - -13. Put w, 0, u, m in descending order.
w, m, 0, u
Suppose -4*l = -4*p + p + 14, 2*p + 4 = -4*l. Let a be ((-30)/(-4))/((-69)/(-6) + -12). Let w be (-9)/5 - 12/a. Put -5, p, w, -3 in ascending order.
-5, -3, w, p
Let g(m) = 28*m + 1313. Let o be g(-47). Let s(p) = -p**3 + 5*p**2 + p. Let z be s(5). Let y = z + -6. Sort o, 2, 5, y in increasing order.
o, y, 2, 5
Suppose 3 + 32 = 7*h. Let y = 3 - h. Let p be 4/(-18) - 2/(-9). Put p, y, 5, -4 in decreasing order.
5, p, y, -4
Suppose 2*t + 2 = 12. Let j = 556 + -557. Sort 4, j, -5, t.
-5, j, 4, t
Let j = -41358 + 41348. Put j, -5, 5, -2, -3 in decreasing order.
5, -2, -3, -5, j
Let s = -6874.8 + 6875. Put -1, s, 11/10, -2, 3 in ascending order.
-2, -1, s, 11/10, 3
Let n = -3221.869 - -3222. Sort 2, n, -0.4, -4/3, -1/6 in decreasing order.
2, n, -1/6, -0.4, -4/3
Let d = 0.749 - -0.251. Put 4, -42, d in decreasing order.
4, d, -42
Suppose -1 + 3 = 2*w. Suppose -5*n = -3*u - 21, n - u + w = 2*n. Let v be (-291)/(-194) - (-2 + (-9)/6). Put n, v, -6 in descending order.
v, n, -6
Let r be (-10 + (2 + -1)*-2)/(-2). Let n = 1.627 - 1.327. Put n, -8, r in increasing order.
-8, n, r
Let v = -6535 + 111147/17. Let g = -502/153 + v. Sort -2/5, g, -10/11.
-10/11, -2/5, g
Let j = -15.954 - -15.854. Put -3, -2/5, 0.04, j in ascending order.
-3, -2/5, j, 0.04
Suppose 5*k - 19 + 8 = 4*f, 0 = 4*f + 16. Let p = 13 + -9. Suppose 55 + 44 = -33*o. Sort o, k, 5, p in decreasing order.
5, p, k, o
Let w = 40 + -17. Let s = 23 - w. Let g = 1341/7 + -192. Sort g, 9, s in decreasing order.
9, s, g
Suppose 0 = 2*s - 8, -5*t + 5 + 9 = s. Suppose -56*j + 59*j = -15. Suppose 2*u + 15 = 3*u + 4*w, -u + 11 = 2*w. Sort u, t, j in descending order.
u, t, j
Let y = 0.4107 + 2.5893. Sort -2, 0.96, -0.5, y in descending order.
y, 0.96, -0.5, -2
Let a be 3375/108 + 6/8. Suppose 11*v + a*v = -43. Sort -2/23, 2/9, v in increasing order.
v, -2/23, 2/9
Let h(k) = -1165 - 16*k**2 - k**3 + 1150 - 78*k - 2*k**2. Let a be h(-11). Sort -3, a, 4 in descending order.
4, -3, a
Let i = 6 - 5.913. Let v = -19.913 - i. Let k = -22 - v. Sort 1, k, -5 in increasing order.
-5, k, 1
Let m = 117.234 + -111.2. Let c = -0.034 + m. Let v = -6.3 + 6.7. Sort c, v, 3, -4 in decreasing order.
c, 3, v, -4
Suppose -5*r = -3*j + 5, -4*j - 50 + 18 = 3*r. Let k be (-5 + -11)/(-2 + 0). Put 4, k, j in decreasing order.
k, 4, j
Let h be (-8)/((-8)/(-3)) - -4 - 3. Suppose -3*t - 4*o + 28 = 0, 12 = 5*o - 2*o. Let l = 0 - -5. Sort -4, h, t, l in descending order.
l, t, h, -4
Let p = 5407/16248 - -3/5416. Put 0.09, -5/6, p, -2, -0.06 in descending order.
p, 0.09, -0.06, -5/6, -2
Let k = 232 + -232.068. Let v = -4.068 - k. Let t(b) = b**2 + 2*b + 5. Let z be t(0). Sort z, v, -3, -2 in ascending order.
v, -3, -2, z
Let w(q) = 49*q - 302. Let k be w(14). Sort 3, k, 4 in descending order.
k, 4, 3
Let l be (75819/(-254))/(2/4). Put -5, 5, l in decreasing order.
5, -5, l
Let a = 1250 + -1251. Put -4, -3, a in decreasing order.
a, -3, -4
Let c = 10.1 + -9.2. Let u = c + -17.9. Sort u, 4, 3.
u, 3, 4
Let g(n) = n**3 + 50*n**2 - 160*n - 57. Let y be | {
"pile_set_name": "DM Mathematics"
} |
Find the first derivative of x(a) wrt a.
-72*a + 8
Let g(p) be the third derivative of -2/15*p**5 + 0*p**4 - 6*p**2 + 0*p**6 + 2/35*p**7 + 0*p + 0 + 0*p**3. What is the third derivative of g(f) wrt f?
288*f
Let l(g) be the third derivative of -g**6/48 - g**5/12 + g**4/4 - 14*g**2. Let p(m) be the second derivative of l(m). Find the first derivative of p(u) wrt u.
-15
Let f(l) be the third derivative of l**7/210 - 11*l**6/24 - l**5/20 + 25*l**4/8 - 3*l**2 - 2. Find the third derivative of f(t) wrt t.
24*t - 330
Let k(x) = 40*x**2 - 26*x + 576. Let p(u) = 8*u**2 - 5*u + 115. Let i(m) = -2*k(m) + 11*p(m). What is the derivative of i(o) wrt o?
16*o - 3
Let g(t) = -t**3 - 2. Let s be g(0). Let y be (3 + -5)/(s/3). Find the third derivative of -x**3 + x**2 - 7*x**2 + 0*x**y wrt x.
-6
Let c(x) be the second derivative of -x**6/180 - 5*x**4/24 + x**3/2 + 5*x. Let r(u) be the second derivative of c(u). Find the first derivative of r(w) wrt w.
-4*w
Suppose -12 = -2*m + d, 2*m - 20 = -2*d + 7*d. Let q(i) = i - 3. Let v be q(m). Find the third derivative of 7*b**2 - 16*b**v + 4*b**2 + b**6 wrt b.
120*b**3
Let u(a) be the third derivative of 17*a**9/168 + a**7/210 + a**5/30 - a**4/12 + a**2 + 20*a. What is the third derivative of u(q) wrt q?
6120*q**3 + 24*q
Let h(x) = 3*x**2 - 1. Let o(y) = -151*y**3 + 306*y**2 + 6. Let n(u) = 6*h(u) + o(u). What is the third derivative of n(m) wrt m?
-906
Let l = 9 + -9. Suppose 0 = -4*i - u + 13, l*i + 3*u = 2*i + 11. Find the second derivative of 3*y**3 + 15*y - 17*y + i*y**3 wrt y.
30*y
Find the second derivative of 276*y**3 - 2*y - 3*y + y + 172*y**3 - 178 + y wrt y.
2688*y
Let t(i) be the second derivative of -i**9/3024 + i**6/60 - 4*i**3/3 + 4*i. Let s(u) be the second derivative of t(u). Find the third derivative of s(l) wrt l.
-60*l**2
Let g(q) be the third derivative of 0 + 0*q**4 + 0*q**3 + 10*q**2 + 0*q**6 + 19/210*q**7 - 23/60*q**5 + 0*q. Find the third derivative of g(z) wrt z.
456*z
Let i be (2/(-7))/((-5)/70). Suppose i*y + 2 = 22. Find the first derivative of -2 + 0*o + y + 5*o wrt o.
5
Let n(r) = 43*r**2 - 2*r - 1. Let j be n(-1). Find the third derivative of -s**3 - 3*s**3 - j*s**2 + 2*s**3 + 4*s**6 - s**6 wrt s.
360*s**3 - 12
Let q(u) be the third derivative of -u**7/105 + 19*u**6/60 + 113*u**4/24 - 46*u**2. Find the second derivative of q(j) wrt j.
-24*j**2 + 228*j
Find the third derivative of 217*c**4 - 86*c**4 + 6*c**5 + 3 - 3*c**5 - 9*c**2 - 90*c**4 - 2*c**5 wrt c.
60*c**2 + 984*c
Let f(d) be the second derivative of d**6/2 + d**5/20 + 11*d**4/12 - 7*d**2/2 - 20*d. What is the third derivative of f(h) wrt h?
360*h + 6
Let n(v) = 875*v**3 + 5*v - 447. Let u(g) = -437*g**3 - 3*g + 224. Let h(j) = 3*n(j) + 5*u(j). Find the first derivative of h(s) wrt s.
1320*s**2
Let h(w) = -w**2 - w - 1. Let s(k) = -12*k**2 - 3*k - 8. Let r be 3/(6/(-8)) - 1. Let l(u) = r*s(u) + 40*h(u). Find the second derivative of l(v) wrt v.
40
Suppose 4*l - 4*j = 33 + 7, 44 = 5*l + j. Find the first derivative of 5*c**2 + 18 - 5*c**2 + 2*c**4 - l*c**4 wrt c.
-28*c**3
Let t be 2/2 - (-2 + 6 - 8). What is the second derivative of -6*c + 13*c - 26*c**t + 19*c wrt c?
-520*c**3
Let h(r) = -r**2 + r. Let l(x) = -325*x**2 + 344*x. Let q(i) = 6*h(i) - l(i). What is the second derivative of q(j) wrt j?
638
Suppose 0*l + 357 = -3*l. Let w = -53 - l. What is the derivative of -66*j + 8*j**2 + 10 + w*j wrt j?
16*j
Let d(m) = -2 + 3 + m**2 - 2 + 2*m. Let w be d(-4). Find the first derivative of w + 1 + 5*a**2 - 2 wrt a.
10*a
Find the first derivative of -262*r + 76*r - 23 - 52 + 128*r wrt r.
-58
Let n(j) be the second derivative of -23*j**2 + 16*j + 0*j**3 + 41/20*j**5 + 0*j**4 + 0. What is the derivative of n(o) wrt o?
123*o**2
Suppose 0*c - 4*b = -c + 36, c - 2*b = 38. Find the third derivative of -15*a**4 - c + 40 - 28*a**2 wrt a.
-360*a
Let w(x) be the third derivative of 27*x**2 + 2/15*x**5 + 1/60*x**6 + 1/2*x**3 + 0*x + 0 - 5/12*x**4. Find the second derivative of w(p) wrt p.
12*p + 16
What is the third derivative of -2223*r**4 - 113*r**2 + 2243*r**4 + 38*r**2 wrt r?
480*r
Let s(x) be the second derivative of 41*x**6/30 + 23*x**3/2 - 66*x. What is the second derivative of s(o) wrt o?
492*o**2
Let m be (-22)/99 - (-40)/18. Differentiate -6*n**2 + n**m - 8*n**2 + 3 with respect to n.
-26*n
Let x be (3/9)/(2/24) - 0. What is the first derivative of 2*q**4 + 2 - 9*q**x - 8 - 9*q**4 wrt q?
-64*q**3
Let g(c) be the third derivative of 0*c + 5*c**2 + 1/15*c**5 + 0*c**3 - 1/210*c**7 + 0*c**4 + 0 + 0*c**6. Find the third derivative of g(y) wrt y.
-24*y
Let d(u) be the first derivative of -245*u**6/6 + 2*u**3/3 - u**2 - 2*u - 1000. What is the second derivative of d(f) wrt f?
-4900*f**3 + 4
What is the first derivative of 25 - 67 - 80*s - 11 wrt s?
-80
Find the second derivative of -2 + 16*o**3 + 0*o**4 - o**4 - 79*o - 17*o + 10*o + 0*o**4 wrt o.
-12*o**2 + 96*o
Let n(z) = 10*z + 4. Let h be n(1). Find the first derivative of 11*r + 28 + h + 3 wrt r.
11
Suppose -3*m + 4 = q, 0 = 4*m - 0*q + q - 6. Find the second derivative of 5*w**4 - 12*w - m*w**4 + 5*w**4 wrt w.
96*w**2
Let p be -1 - 5/((-5)/6). Suppose -p*c - 5*g + 23 = -2*g, 5*c - 27 = -2*g. Find the first derivative of 2 - 3*k - 3*k + c*k wrt k.
1
Let r(h) be the first derivative of h**5/4 + 11*h**3/6 - 4*h + 6. Let a(f) be the first derivative of r(f). What is the second derivative of a(x) wrt x?
30*x
Let o(i) be the first derivative of 2*i**3/3 + i**2/2 - i + 1. Let z be o(1). What is the second derivative of -2*u**z + 2*u**2 + 4*u**2 - 3*u wrt u?
8
Let c(u) be the third derivative of 11*u**7/35 + u**6/60 + 74*u**3 + u**2 - 39*u. Differentiate c(n) wrt n.
264*n**3 + 6*n**2
Suppose -s = -c, -2*s + 6 = -c - 4*s. Let r be 4/(-3)*(c + -1). Differentiate -4 + k + 1 + r*k + 0*k wrt k.
5
Let u(q) be the first derivative of 3*q**2 + 1/2*q**3 + 0*q + 1 - 5/24*q**4. Let p(z) be the second derivative of u(z). What is the derivative of p(o) wrt o?
-5
Suppose 50 = 2*j + 3*j. Find the second derivative of -p - 2*p + j*p + p - 7*p**3 wrt p.
-42*p
Find the third derivative of -5*q**4 + 3*q**5 + 0*q**4 - 173*q**2 - 12*q**4 + 40*q**2 wrt q.
180*q**2 - 408*q
Find the second derivative of 575*i**2 + 133 - 25*i + 30 + 26*i + 33 wrt i.
1150
Let s(m) be the third derivative of -163*m**5/10 + 109*m**4/12 - 54*m**2. Find the second derivative of s(l) wrt l.
-1956
Let q(l) = 3*l**3 - 43*l**2 + 14*l + 5. Let n be q(14). Find the second derivative of -19*d - 9*d + 7*d - 14*d**n - 18*d wrt d.
-280*d**3
Let t = 365 - 263. Suppose -d + 2 = -0*d. Find the third derivative of -7*g**d + 102*g - 4*g**5 - t*g wrt g.
-240*g**2
Find the third derivative of 19*w**2 + 26*w**3 + 61*w**3 - 131 + 65 + 64 wrt w.
522
Let d(c) be the third derivative of -19*c**6/10 + 286*c**3/3 - c**2 - 212. Differentiate d(v) wrt v.
-684*v**2
What is the first derivative of -41*t**3 + 67*t**3 + 98 - 34*t**3 + 30 wrt t?
-24*t**2
Suppose -4*a - 6 = -18. Let n be 2 + 3 + -1 + 1. Differentiate -2*b - b - a + n*b wrt b.
2
Let l(d) be the second derivative of 0 + 0*d**5 + 17/2*d**2 - 8*d - 1/6*d**6 + 0*d**3 + 0*d**4. Find the first derivative of l(t) wrt t.
-20*t**3
Let a(t) be the first derivative of -84*t**5/5 + 87*t - 94. What is the derivative of a(h) wrt h?
-336*h**3
Suppose 4 + 11 = 3*o. What is the derivative of -7*d + o - 22*d - 33 + 0 wrt d?
-29
Let c(k) = -2*k - 9. Let x be c(-6). Let n be (-35)/(-4) - x/(-12). Find the second derivative of n*i**3 + 19*i**3 - 19*i**3 - 2*i wrt i.
54*i
Let m(g) = 9*g - 11*g**2 + 10*g**2 + 8 - 1 - 3. Let h be m(9). Find the third derivative of 14*z**h + 4*z**5 + 9*z**2 - 14*z**4 wrt z.
240*z**2
Find the third derivative of -537*f**2 - 118*f**3 + 275*f**2 + 420*f**2 wrt f.
-708
Suppose 2*n + 4 = 4*n. Suppose -5*q - 10 = -30. Find the third derivative of -21*g**4 + 4*g**n - 20*g**q + 46*g**4 wrt g.
120*g
Let m(y) = 199*y**2 - 337*y. Let b(i) = 3*i**2 + i. Let v(x) = -3*b(x) + m(x). Find the second derivative of v(p) wrt p.
380
Let v(r) be the second derivative of -67*r**7/42 - 2*r**3 - 62*r + 1. What is the second derivative of v(y) wrt y?
-1340*y**3
Let k(p) be the second derivative of -9*p**8/28 - p**7/14 + 67*p**4/6 - 3*p - 16. What is the third derivative of k(d) wrt d?
-2160*d**3 - 180*d**2
Let a(q) be | {
"pile_set_name": "DM Mathematics"
} |
24/(-16)*-8*3/144*42?
98
Calculate ((-125)/(-15))/(185/111)*-5.
-25
Evaluate (43/2580*-24)/(((-2)/1)/((-90)/3)).
-6
What is (3696/(-14))/(-22)*(-140)/120*(-9)/28?
9/2
Calculate (1/(-33))/((-1157)/(-267))*3/((-12)/(-8)).
-2/143
Evaluate (11/(-5500)*-50)/(((-3)/222)/(2/(-2))).
37/5
What is the value of ((-220)/120)/((-132)/80)?
10/9
What is 21/14*6392/170*(-10)/(-12)?
47
Evaluate (((-9)/6)/3)/(((-20)/(-224))/((-40)/196)).
8/7
(-598)/184*(((-56)/(-12))/7)/(1/(-24))
52
What is the value of 112/665*19*(-15)/6*4?
-32
What is 8547/77*(-6)/(-27)*-3?
-74
(-255)/(-3)*(-119)/(-595)
17
3*(-20)/(-15)*(-8)/112
-2/7
What is ((-48)/(-10))/(7425/(-825))?
-8/15
((-5)/(-532))/(14495/121758)
3/38
What is (69/9*6)/((-460)/690)?
-69
Evaluate (91/(-14))/(9/12)*(-4)/48*-4.
-26/9
What is ((-28)/(-126))/(4/(-42))*(-2)/70?
1/15
What is (32/(-24))/(12/(-54))*27*18/(-27)?
-108
Calculate 760/1026*-6*4/(-16).
10/9
Calculate (((-474)/90)/79)/(((-20)/(-30))/(4/(-3))).
2/15
What is the value of (135/((-297135)/(-3976)))/7?
8/31
-96*(-3222)/2685*1/9*5
64
What is 1/(((-45)/(-495))/(12/1012))*14/(-210)?
-1/115
Evaluate ((-10)/2)/((-26810)/493304).
92
Calculate (2*(-36)/(-22))/((120393/9702)/273).
72
(84/130)/(13783/(-19690))
-12/13
Calculate ((-5525)/130)/85*8.
-4
Evaluate -65*(-4)/208*(-672)/(-120).
7
What is the value of 38/(-665)*-3*295/59?
6/7
What is (168/315*-10)/(40/(-18))?
12/5
What is -95*(-126)/1596*(-5)/390*-4?
5/13
What is ((126/18)/(-7))/((-335)/(-201))?
-3/5
What is the value of (((615/(-35))/((-8)/28))/((-93)/(-62)))/1?
41
((-55)/45)/(5379/(-6357))
13/9
Calculate ((-36)/30)/((-228)/93100*-5).
-98
What is 2/(-4)*(-100)/(-200)*(-1)/(-5)?
-1/20
Evaluate 36/1112*(10332/(-567))/(-41).
2/139
What is the value of 6/((-24)/108*-27)*(-90)/1?
-90
Evaluate 370*112/(-140)*6/48.
-37
(1432/21838)/(13/(65/(-60)))*6
-2/61
Evaluate ((-15)/1)/((-496)/((-63984)/(-7353))).
5/19
What is (102176/2060)/((-5)/(25/(-18)))*(-18)/(-4)?
62
What is the value of (4/13)/((-7130)/1495)?
-2/31
What is the value of 615/(-2460)*(520/5)/(-2)?
13
Calculate ((-15)/(-9))/(4/(-4)*(-108)/(-2916)).
-45
What is -2*(-1)/(-20)*-4*(-525)/(-191520)*-38?
-1/24
Evaluate (-70*66/(-13475))/((-12)/28*(-15)/3).
4/25
Calculate ((-1)/15)/(97/907920*195).
-16/5
What is ((-73)/(2190/(-200)))/(((-1330)/21)/5)?
-10/19
What is the value of 75/7*327740/(-58525)?
-60
Calculate ((-160)/(-144)*651/155)/((-2)/3).
-7
What is the value of 25*43890/924*(-2)/(-25)?
95
Calculate (129/(3/1))/(((-21)/(-140))/(141/470)).
86
Evaluate ((-2532)/(-16247))/(42/49).
2/11
What is 979/178*56/(-70)?
-22/5
What is ((-3)/(-4))/((-10)/64)*(-170)/884*-13?
-12
Evaluate ((-11880)/378)/(-44)*(-49)/(-21).
5/3
((-3264)/24752)/((-12)/56)
8/13
What is (-9)/((-9)/132*-2)*(486/(-9))/108?
33
What is (-802)/2406*795/5?
-53
Calculate (7272/(-505))/36*(-325)/5.
26
What is ((-932)/(-699))/((1/(-24))/((-21)/(-12)))?
-56
Calculate ((-4)/(-26))/(96/(-2784)*(-29)/169).
26
(32/(-36))/(190/17955)
-84
What is ((-24255)/101871)/(90/28)?
-2/27
14/2*(((-42840)/84)/(-85))/(1*-7)
-6
What is the value of (14/((-1680)/125))/(91/546)?
-25/4
Calculate (3*6/45*-2)/(7/700).
-80
(-13728)/220*(-140)/224*3*(-1)/(-9)
13
Calculate ((-1596)/37240)/(2/40).
-6/7
Calculate ((-5)/(((-1)/1)/((-12)/(-15))))/((-61)/854).
-56
What is the value of (9/1)/((2/35)/(114/133)*3)?
45
8172/4540*10/4*-1*22
-99
Evaluate 30/(-14)*(-8)/(-50)*8*(-1020)/1088.
18/7
What is ((-12)/(-224))/(((-735)/(-140))/(-7))?
-1/14
What is ((-90)/35)/((-514)/(-5397))?
-27
Calculate ((-18)/40*(-85)/(-102))/((-14)/7).
3/16
What is 18*(189/(-405))/7*21/6*-1?
21/5
What is the value of (2*26/(-4)*2832/6608)/(9/(-42))?
26
(63/8)/(81/(-18))
-7/4
What is 45/6*-84*(-102)/2380?
27
(175/105)/((15/(-1))/495)
-55
What is ((-152076)/(-171))/(-116)*3?
-23
Calculate (-2*(-270)/(-150))/(-3)*(-7)/(-3).
14/5
What is the value of 3/((-9)/(13*1827/182))?
-87/2
(7/54)/((-17248)/(-9856))
2/27
What is the value of (-308)/(-1624)*(-204)/561?
-2/29
Calculate (-72)/(12*6/396*242/22).
-36
Calculate (2/5)/((204*41/(-3444))/((-5)/7)).
2/17
Evaluate ((-69464)/4570)/((-4)/(-10)).
-38
What is the value of 23/((-4370)/(-228))*28/(-42)?
-4/5
(12/(-84))/((-196)/(-1372))
-1
(2420/(-200))/(-11)*(-1278)/(-16401)
3/35
What is the value of ((-9)/12)/(405/(-17820))?
33
Evaluate (-6)/((1558/361)/(-41)).
57
What is (-178)/(-24)*2*(20055/(-10696))/(5/(-16))?
89
What is (-6)/(-1353)*2/(12*(-17)/374)?
-2/123
What is ((3330/(-660))/37)/((-24)/64)?
4/11
What is ((-147)/(-126))/(14931/(-474))?
-1/27
What is the value of (((-63)/(-540))/(952/6460))/((-5)/(-30))?
19/4
2401/28*5/(-210)*-24
49
Calculate (3267/(-396))/(14/(-4)*36/84).
11/2
Evaluate ((-38)/(-3))/((13568/(-318))/64).
-19
Calculate ((-3)/24)/(-49*1/(-490)).
-5/4
Evaluate 20/(-4)*(11808/2255)/96.
-3/11
(-766)/(-383)*(6/(-3))/(32/(-72))
9
Evaluate ((271/(-1897))/(2/420*-4))/(4/24).
45
Evaluate (-17)/(255/3720)*132/1056.
-31
What is the value of (31488/(-28864))/(3/(-88))?
32
(((-3485)/(-51))/41)/(21/1134*(-30)/(-2))
6
Calculate ((-18)/141)/(283/(-79806)).
36
What is ((-45)/(-27))/((-1)/2*(6360/(-36))/53)?
1
What is the value of ((-4)/4)/((-6)/(-312)*13*-308)?
1/77
What is -1060*10/(5000/(-25))?
53
Calculate ((-1)/((-882)/1656))/((-54)/189).
-46/7
What is the value of ((-31)/806*13)/(7/420*-17)?
30/17
Evaluate ((-12845)/136157)/((-5)/2).
2/53
-225*-12*(-18)/(-1080)
45
What is the value of (424/(-33920))/(2/32)*(-6)/(18/1095)?
73
Evaluate 10136/20272*(-36)/(-10).
9/5
What is (((-5400)/210)/30)/((-100)/490)?
21/5
What is 12/(-6)*((-564)/1880)/((-10)/(-5))?
3/10
What is the value of (-81)/29295*31*7/12?
-1/20
What is the value of 42/(-21)*38*(-2)/8?
19
What is the value of (-2)/(-12)*-14*376/7238*352/24?
-16/9
Calculate -2*(-46)/(-230)*(10/(-166))/(-1).
-2/83
Evaluate (5*(-20)/400)/(5/((-5740)/(-7))).
-41
Evaluate -598*(-20)/650*15/(-6).
-46
Evaluate (110/99*3/10)/(32/(-108)).
-9/8
-10*1022/1825*10/2
-28
Calculate ((-4)/(-4212)*6)/((-436)/1308).
-2/117
Evaluate (1/33)/((-18)/(-36)*20/(-30)).
-1/11
Calculate (1/(16/(-2)))/(25635/(-102540))*12/(-1).
-6
Evaluate (-540)/((-39)/(-273)*-140).
27
((-154)/1176)/(130/(-3640))
11/3
(1/25)/(60/100)*(-36)/(-42)
2/35
What is (-17)/14008*-104*(12/(-26))/(-3)?
2/103
Calculate ((-7)/(-2))/((-23989)/157642).
-23
Calculate ((20/(-2))/((-6296)/787))/((-215)/(-2)).
1/86
Evaluate 306/8*5460/(-4095)*(-4)/6.
34
What is (4/(-2)*20/(-50))/(693/6930)?
8
Evaluate ((145/10)/(-29))/((1*-7)/((-63)/(-7))).
9/14
Calculate (2/5*(-550)/(-1848))/((-1)/(75/(-125))).
1/14
Calculate 880/44*(-3129)/745.
-84
What is the value of -1*((-5)/420)/((-4)/24)*(-24)/6?
2/7
Evaluate ((-7550)/4530)/((-345)/(-18)).
-2/23
What is (-3)/9*(-4752)/(-396)*(-83)/4?
83
Evaluate ((-305)/244)/(22*11/968).
-5
What is (((-12)/15)/((-100)/(-7175)*7/(-10)))/(-2)?
-41
What is (-4675)/(-4250)*(64/(-462))/(-8)?
2/105
What is the value of (7065/1413)/(1/((-13)/1))?
-65
Evaluate (12912/(-86080))/((-4)/(-20)*-3).
1/4
Calculate ((85/17)/(-50))/(21/(-35))*118*3.
59
(913484/6388)/((-11)/5)
-65
-55*112/(-64)*2460/(-9471)
-25
Calculate ((-19)/76)/((-71)/(-5964)).
-21
Evaluate (-150)/(-2)*(540/(-1500))/((-12)/(-20)).
-45
What is 267/(-1157)*((-3)/(-5))/((-243)/(-90))?
-2/39
What is 399/7*(((-9184)/(-205))/28)/(12/10)?
76
Calculate 5/4*52/130*0*20/300.
0
What is the value of ((976/(-10))/((-114)/95))/(68/765*15)?
61
Evaluate ((-12)/(-12))/(((-108)/(-216))/((870/4)/3)).
145
What is ((-32)/28)/(2*9/(-126))?
8
What is (99/693)/(12/(-882)*2)?
-21/4
Calculate ((-66)/(-12))/(-11)*((-318)/(-212))/((-3)/(-124)).
-31
What is the value of ((-77)/(-6))/((-37488)/(-122688))?
42
Calculate ((-395)/17064*24)/((-5)/12).
4/3
Evaluate ((234/(-21))/(77/(60368/(-448))))/((-3)/22).
-143
Evaluate (-3)/38*(93/(-248))/((-477)/(-848)).
1/19
What is the value of 31/((-589)/95)*112/10?
-56
((-8694)/(-105))/(-23)*(-480)/192
9
Calculate (11200/39200)/(-1*1/((-14)/(-142))).
-2/71
(462/(-126))/(2/24*-22)*558/12
93
What is the value of (5835/3890)/(1*(9/(-6))/(-3))?
3
(20/((-1860)/217))/(35/(-18))
6/5
((-288)/2664)/(12/(-74))*((-16)/(-6))/4
4/9
Calculate (50860/(-7629))/(6*(64/396)/8).
-55
What is the value of ((86/(-129)*3/6)/(-1))/((-55)/(-3))?
1/55
What is the value of 375/10*(-81424)/72700?
-42
Evaluate (((-60)/32)/3)/((-23)/((-92)/10)).
-1/4
What is 16/188*(-79)/(-15 | {
"pile_set_name": "DM Mathematics"
} |
pose 10*n - 1031 = 24489. List the prime factors of n.
2, 11, 29
Suppose -767 = -3*f - 41. List the prime factors of f.
2, 11
Let f(k) = -7*k**2 - 31*k + 3 + 6*k**2 + 13*k. List the prime factors of f(-12).
3, 5
Let l(g) = -15*g**2 - 41*g - 31. Let p(s) = -5*s**2 - 14*s - 10. Let h(o) = -3*l(o) + 8*p(o). What are the prime factors of h(-6)?
127
Suppose 5*v - 5*y - 33 = -2*y, 3*y = 12. Suppose o - 182 = 4*l, 1 + v = -2*l. List the prime factors of o.
2, 3
Let g(k) be the first derivative of k**4/4 - 14*k**3/3 + 29*k**2/2 + 28*k - 29. What are the prime factors of g(13)?
2, 59
Suppose -5*q + 12 = 2. Suppose 73 = 3*v - 3*x + 13, v + q*x = 20. What are the prime factors of 30/((-45)/v - -3)?
2, 5
Let z = -161 + 194. List the prime factors of z.
3, 11
Suppose -6*l + 6270 = -13752. List the prime factors of l.
47, 71
Suppose 5*y - 6*s = -3*s + 3626, -5*y = s - 3618. What are the prime factors of y?
2, 181
Let k be ((-1)/(-3))/(8/72). Let z = 0 + k. Suppose 0 = 6*f - z*f - 6. List the prime factors of f.
2
Suppose -3*x = -2*h - 6*x + 14, -10 = 2*h - 3*x. Let t(n) = 22*n**2. Let c be t(h). Suppose -3*q + 4 + c = 4*y, -5*q = y - 15. What are the prime factors of q?
2
What are the prime factors of (-2246)/1*((-38)/4)/19?
1123
Let k(a) be the first derivative of a**2/2 - 7*a - 6. Let x be k(7). Suppose -4*v + 41 + 127 = x. What are the prime factors of v?
2, 3, 7
Suppose -2134 = -2*b + 434. What are the prime factors of b?
2, 3, 107
Let h = 103 + -61. Suppose l - 81 = -l - u, -l + h = -u. List the prime factors of l.
41
Let k be (-1169)/77 - (39/(-33) + 1). List the prime factors of (15/10 + 118/(-20))*k.
2, 3, 11
Let i be 5*((-222)/(-10) + 0). Let a(p) = p**3 - 10*p**2 - 10*p + 1. Let d be a(11). Suppose 0 = f - y - d - 14, 4*f + 3*y = i. What are the prime factors of f?
3
Let r(x) = -x**2 + 24*x - 1. Let b be r(19). Suppose -2*g + b = -z, -5*z - 259 = -5*g - 29. List the prime factors of g.
2, 3
Let s(a) = -6*a + 15. Let n be s(-9). Let x(u) = u**2 + 1. Let w be x(-2). Suppose 0 = w*t - m - 2*m - 129, 3*t = -m + n. What are the prime factors of t?
2, 3
Suppose -5*a + 2*a - 3 = 0. Let n be a/(-3) - (-6)/(-18). Suppose n = 6*k - 5*k - 8. List the prime factors of k.
2
Suppose 5*b + 3*y = -23, 0*y + 3*y - 47 = 5*b. Let i be (-2)/7 + (-2)/b. Let z(n) = -n**3 + n**2 - n + 25. List the prime factors of z(i).
5
Suppose 4*d + 2*q = 34, -q + 5*q - 50 = -5*d. Suppose z - d*b = -2*b + 6, -4*b + 14 = z. What are the prime factors of z?
2, 5
Suppose -4*l = 12 - 24. Suppose n + 16 = -l*n. List the prime factors of (-17 - -60) + 0 + n.
3, 13
Let d = 2254 - 1279. What are the prime factors of d?
3, 5, 13
Suppose 3*m = 5*m + 5*b + 31, 88 = -5*m - 2*b. Let s be ((-1)/3)/((-2)/m). Let i = 24 + s. List the prime factors of i.
3, 7
Let g(o) = o**3 + 1. Let s(l) = -2*l**3 - 3*l**2 - 3*l - 1. Let a(m) = -g(m) - s(m). Let h be a(-3). What are the prime factors of -5*(0 - h/(-15))?
3
Let f = 140 + 155. Suppose 0 = -3*w - 2*p + 256 + f, -912 = -5*w + 3*p. List the prime factors of w.
3, 61
Suppose 5*d - 12 = -2*v, -4*v = -d - 1 - 1. Let z(m) = 35*m - 1. List the prime factors of z(d).
3, 23
Suppose 0*k + 4*k - 12 = 0. Let r(g) = 1 - k*g**3 - 4*g**2 + 0*g + 2*g + 8*g**3 + 1. List the prime factors of r(2).
2, 3, 5
Suppose 5 = 4*s - n - 0, 2*s + 3 = -5*n. Let j(p) = -p + 1. Let h be j(s). Suppose 4*b - 52 = -h*b. List the prime factors of b.
13
Let o = -28 + 102. Suppose 1 = 5*z - o. What are the prime factors of z?
3, 5
Let u = 95 + 895. List the prime factors of u.
2, 3, 5, 11
Let d(c) = -9*c - 3. Let k be d(-21). Let f = k + -65. What are the prime factors of f?
11
Let b(o) = o + 2. Let w(m) = 2*m + 17. Let h be w(-8). Let d be b(h). Suppose -r = -0*r - d. List the prime factors of r.
3
Suppose 43*a + 0 = 344. List the prime factors of a.
2
Let j(b) = 4*b - 1. Let l be j(-8). Let y be l*(4/(-6))/(-2). Let v = 15 + y. List the prime factors of v.
2
Suppose 11*s - 2693 - 1201 = 0. List the prime factors of s.
2, 3, 59
Let h = -512 + 1156. What are the prime factors of h/8 - ((-3)/(-6) + -1)?
3
Let c(j) = -j**2 - 9*j + 3. Let o be c(-9). Suppose -q + k = -2*k + o, 4*q + 5*k = -29. Let u(g) = -g**2 - 11*g - 9. What are the prime factors of u(q)?
3, 7
What are the prime factors of (-34 - -878)/(3 - 1)?
2, 211
Suppose 0*b + 4 = 3*c + 2*b, 0 = 4*c - b + 2. Let y = c + -11. Let t(r) = r**3 + 12*r**2 + 9*r - 8. List the prime factors of t(y).
2, 7
Suppose -18*m + 14469 = -42771. List the prime factors of m.
2, 3, 5, 53
Let m(j) = -j**2 - 14*j - 13. Let o be m(-13). Suppose o = 4*k + 479 + 153. List the prime factors of k/(-8) + (-1)/(-4).
2, 5
Suppose 13*o - 673 = -2*z + 8*o, 4*z = -4*o + 1328. List the prime factors of z.
7, 47
Let c = 166 + 48. What are the prime factors of c?
2, 107
Let j = 11 - 104. Let q = j + 132. What are the prime factors of q?
3, 13
Let f = 6 - 5. List the prime factors of 0/(f*-1) - 736/(-16).
2, 23
Let l(j) = -j - 5. Let f be l(-12). Suppose -f*q = -83 - 323. What are the prime factors of q?
2, 29
Suppose -5*a - 4*w + 20 = 0, -3*a - w - 10 = -3*w. Let q(t) = t + 194. Let u be q(a). Suppose -5*b - 4*o = -u, b + 4*b + 5*o = 190. List the prime factors of b.
2, 3, 7
Let x(a) = 2*a - 7. Let k be x(5). Suppose -3*s - s - h - 1 = 0, -k*h - 3 = 2*s. Suppose -3*w + 96 = 3*b, -w - 4*b + s = -41. What are the prime factors of w?
29
Let j = 12 - 10. Suppose 0 = -j*p - 4*a + 56, 0*p - 3*p + 5*a = -128. List the prime factors of p.
2, 3
Let a = 104 + -86. Suppose -a*d - 1155 = -23*d. What are the prime factors of d?
3, 7, 11
List the prime factors of 908/4 + 1 + -9.
3, 73
Let g = -11 - 6. Let a(y) = -y**3 - 17*y**2 - 4*y + 1. List the prime factors of a(g).
3, 23
Suppose 4*d - 18 = -2*z, -z + 3*d + 0*d - 6 = 0. Suppose 8 = -z*h + 23. Suppose h*s + 31 - 11 = 0, s + 149 = 5*q. What are the prime factors of q?
29
Suppose -3*m = -2*r - 3461, -4*m + 3*r - 8*r = -4584. What are the prime factors of m?
1151
What are the prime factors of 2 + 390*1 - -2?
2, 197
Suppose 4*r = -x + 23, -2*x + 15 = r - 3. Let b = -4 + x. Suppose -i = -b - 4. What are the prime factors of i?
7
Let v(y) = 52*y**2 + 3*y. Let m = 123 - 125. List the prime factors of v(m).
2, 101
Let c(l) = 4*l + 6. Let h(i) = -2*i + 31. Let z be h(13). List the prime factors of c(z).
2, 13
Suppose j = -d + 19, -3*d + 3 = -2*d. Let x(c) = c**3 + 2*c**2 - 4*c + 3. Let p be x(2). Suppose -p*b - 325 = -j*b. What are the prime factors of b?
5, 13
Let g(u) = u**2 - 11*u - 71. What are the prime factors of g(23)?
5, 41
Let a be (2 - 4) + 4 + 13. Suppose -33 = a*h - 14*h. Let d = -3 - h. What are the prime factors of d?
2, 3, 5
Let j(y) = y**2 - 12*y - 11. Suppose -2*d + 0 - 2 = 0. Let p be ((39/1)/(-3))/d. What are the prime factors of j(p)?
2
Suppose -13*b = -18*b + 10. Suppose 10 = -5*s, -f - 12 = -b*f + s. List the prime factors of f.
2, 5
Suppose 6*b - 4*b = 108. Let u = 4 + -5. What are the prime factors of (1/u)/((-3)/b)?
2, 3
Suppose 273 = -3*s + 1926. What are the prime factors of s?
19, 29
Suppose -k = 2*k - 6. Suppose k*a = -3*a + 90. Let s = a - 5. What are the prime factors of s?
13
Suppose 5*d - 1 + 11 = 4*w, -d + 2*w - 2 = 0. List the prime factors of d/(-3) - 28/(-3).
2, 5
Let j = 26 + -14. Let o(d) = d**2 - 12*d + 2. Let g be o(j). Suppose 28 = g*i - 0*i. List the prime factors of i.
2, 7
Let f(u) = 3*u**2 - 8*u - 14. Let c be f(7). Suppose -81*v = -c*v - 532. What are the prime factors of v?
7, 19
List the prime factors of 75/2*(-5)/(75/(-36)).
2, 3, 5
Suppose 66 = n - 40. Suppose -4*b + 4*d - n = -1242, -5*b - 5*d + 1390 = 0. List the prime factors of b.
281
Suppose 4*t = -12*j + 15*j + 581, -3*j + 15 = 0. What are the prime factors of t?
149
Suppose 310 = -4*o - 0*x + 2*x, -5*o = 2*x + 410. Let v = 156 + o. What are the prime factors of v?
2, 19
Let c = 32 - 24. Let f = 57 + c. What are the prime factors of f?
5, 13
Let v(j) = -j**2 - 9*j - 14. Let t be v(-6). Suppose 4*p - t*d = 12, 2*p - 12 = -p + 4*d. Let u(s) = -s**3 - s**2 - s + 13. What are the prime factors of u(p)?
13
Let d(a) = 144*a + 15. Let z be d(3). Let n = z - 316. What are the prime factors of n?
131
Let m = -9 - -11. Suppose -6 = -m*z - l, 4*l - 7 = -3*z - 3. Suppose 4*u = 4*a - 36, 0 = z*a - 3*u - 41 + 10. List the prime factors of a.
| {
"pile_set_name": "DM Mathematics"
} |
nearest ten?
30
Suppose -8*w + 10 = -3*w. Suppose -5*a + 24604 = -w*n, 5*n + 14770 = 4*a - a. What is a rounded to the nearest 1000?
5000
Let a = -86 - -256. Let s = 176205.077 - 176035. Let f = s - a. Round f to 2 dps.
0.08
Let o = 428.9999693 + -429. What is o rounded to five decimal places?
-0.00003
Let f = 50 - 48. Suppose -6*p + 236 = -f*p. What is p rounded to the nearest ten?
60
Let g = 0.0335 + -4.3035. Let t = g - -8.05. Round t to 1 dp.
3.8
Let u be (480/(-70))/((-1)/7). Suppose -4*d + 3*y + 204 = y, -d - y = -u. Round d to the nearest ten.
50
Let y = -1.87 - 139.13. Let b = y - -141.000000103. What is b rounded to seven dps?
0.0000001
Let u be 5 - (-4 + -6*(-2)/(-4)). Let t be -56*(4*-875)/2. Suppose -14*q + t = -u*q. Round q to the nearest ten thousand.
50000
Let k(w) = -w**3 - 7*w**2 - 8*w - 4. Let z be k(-6). Suppose z*o + 150 = 13*o. Round o to the nearest one hundred.
0
Let j = -166.62 + 165. Round j to 0 decimal places.
-2
Let a be -1*0*(-1)/5. Suppose a = m + 902859 - 38102850. Suppose -4*j + 12 = 0, -r - r = -3*j - m. What is r rounded to the nearest 1000000?
19000000
Let x(z) = 29*z - 118*z + 20 + 10 + 6. Let s be x(14). Round s to the nearest 100.
-1200
Let x = 30245417147 + -30245416810.99999646. Let s = 336 - x. What is s rounded to seven dps?
-0.0000035
Let v = 171337 - 171348.3809. Let h = 11.130874 + v. Let w = h + 0.25. Round w to five dps.
-0.00003
Suppose -5*x + 25 = 0, 3*j = x + 58 - 0. Suppose 0 = -6*i + 10*i - 16. Let p be i/14 - 25200006/j. What is p rounded to the nearest one million?
-1000000
Suppose 3*o - 6 + 1 = 5*t, 15 = 5*o - 5*t. Suppose 33998 + 28002 = o*i. Suppose m + m = i. Round m to the nearest one thousand.
6000
Let j = 1345 + -911. What is j rounded to the nearest ten?
430
Let q = -73252 + 38452. What is q rounded to the nearest one thousand?
-35000
Let j(q) = -56*q**3 + 6*q**2 - 18*q + 8. Let n be 10 + 3*4/12. Let a be j(n). What is a rounded to the nearest ten thousand?
-70000
Suppose -6*i + 2*i = -844. Suppose -i = 5*d - 561. What is d rounded to the nearest 100?
100
Let u = 153 + -7.6. What is u rounded to the nearest ten?
150
Let d = 0.00934 - -0.0165. Let y = d - 0.026. What is y rounded to four dps?
-0.0002
Let a = 19 + -2. Let x = 0.0559 - -23.6441. Let w = x - a. Round w to the nearest integer.
7
Let f = -1.489 + 1.5. Let m = f - -0.035. Round m to 2 dps.
0.05
Let f be ((-3775)/2)/((-2)/4)*560. Suppose -f = -l + 8*l. What is l rounded to the nearest 10000?
-300000
Let h = 191.15 + -3343.95. Let u = -3126.7848 - h. Let y = -26 + u. Round y to 3 dps.
0.015
Let x = -6.91 + 0.486. What is x rounded to one dp?
-6.4
Let i = 0.184999757 + -0.185. Round i to seven decimal places.
-0.0000002
Let f = -2.33 + 2.32568. What is f rounded to 3 decimal places?
-0.004
Let j = -0.11824 - -0.0734. Let m = j - -0.048. Round m to four dps.
0.0032
Let j(y) = -126*y**2 + 51*y + 67. Let l be j(-31). Round l to the nearest 1000.
-123000
Let d = 32.026 + -0.026. Let a = 32.0000186 - d. What is a rounded to six decimal places?
0.000019
Let w(g) = -12*g. Let l be w(-1). Let u = -10 + l. Suppose -u*t + 3630000 = t. What is t rounded to the nearest 100000?
1200000
Let u = 69 + -70.75. Let v = 0.59 + u. What is v rounded to zero decimal places?
-1
Let n = -38856 - -26760. Let r = n - -12095.877118. Let t = r + 0.123. What is t rounded to 5 decimal places?
0.00012
Let v = -37 + -249. Let r = -22 - v. Round r to the nearest ten.
260
Let i = 0.4 - 0.8. Let g = i - -4.4. Let f = g + -4.0000016. What is f rounded to six decimal places?
-0.000002
Let f = 433 - 335.4. What is f rounded to the nearest 10?
100
Let s = -2409836 + 4793836. Round s to the nearest 100000.
2400000
Let f be (-1348604)/(-20) + (-4)/20. Round f to the nearest 10000.
70000
Let u = 76444 + -47904. Round u to the nearest ten thousand.
30000
Let g = -0.41 - -15.41. Let l = g - -20.5. Round l to 0 decimal places.
36
Let y = -470.001665 - -470. What is y rounded to 4 dps?
-0.0017
Let q = -360203 + 130889. Suppose 8*h + 69394 + 149118 = 0. Let b = q - h. What is b rounded to the nearest ten thousand?
-200000
Let v = -98.7926 - -98.7. What is v rounded to 3 dps?
-0.093
Let s = -12 - -31. Let u = -18.9994 + s. What is u rounded to three decimal places?
0.001
Let u = 319 - 318.999997182. Round u to six dps.
0.000003
Suppose 0 = 9*c + 2014263 + 2178837. Round c to the nearest ten thousand.
-470000
Let t = 72.9 + -72.8999919. Round t to 5 dps.
0.00001
Let b(h) = h**3 - h**2 + h + 476008. Let z be b(0). Let c be 4/7 - z/14. Round c to the nearest ten thousand.
-30000
Let a = -4415.0025172 - -4415. What is a rounded to five dps?
-0.00252
Let k = -0.02 + -1.38. Let o = k - -2.1. Let a = 0.70036 - o. Round a to 4 dps.
0.0004
Let y be 2/8 - (-50)/(-8). Let u(i) = -2*i**2 - 7 - 2*i - 950*i**3 + i**2 + 24*i**3 + 15. Let r be u(y). What is r rounded to the nearest one million?
0
Let d = 871 - 785.7. Round d to the nearest 10.
90
Let w(v) = -2*v**3 + 5*v**2 - 9*v + 1. Let i be w(6). Let y = 146 - 1. Let u = i - y. Round u to the nearest one hundred.
-500
Let u = 10.5 - 10.499959. Round u to five decimal places.
0.00004
Let q = -6901.9 - -7196. Let v = q - 320. Round v to the nearest integer.
-26
Let h(d) = -25*d**3 + 4*d**2 - 5*d + 5. Let p be h(2). Let x = -309 - p. What is x rounded to the nearest 100?
-100
Let c = -23507098.13204347 - -18451873.208043. Let s = -5055225 - c. Let q = s + 0.076. What is q rounded to seven decimal places?
0.0000005
Suppose 4*y + z = 203995, 22*z + 25 = 17*z. What is y rounded to the nearest 1000000?
0
Let b(t) = -4*t - 3. Let o be b(-3). Let j = o + -1. Suppose j*h = m + 3*h + 9120, 8 = 2*h. Round m to the nearest 1000.
-9000
Let z = 3 - -1. Suppose -z*v + 0*v = -24. Let c be (-103204)/24 - (-1)/v. What is c rounded to the nearest one thousand?
-4000
Let z = 172 + -247. Let v = 75.00000003 + z. Round v to 7 dps.
0
Let i = 4 - 1. Suppose x = 3*z - i - 8, 4*x - 1 = 3*z. Suppose -f = 2*o + 170, 11 + 327 = -x*o - f. What is o rounded to the nearest ten?
-80
Suppose 2*l + i = 335601, -431964 = -4*l - i + 239237. Round l to the nearest 100000.
200000
Suppose 4 = -i - 3*i. Let r be i/4 - 5440002/(-8). Round r to the nearest 1000000.
1000000
Suppose 0 = -5*j + 20, -15*j + 10*j = i + 2863. Round i to the nearest one hundred.
-2900
Suppose 0 = -2*z + z + 3. Suppose 15 = 4*c + z. Suppose -432002 = -c*p - f, p - 143992 = 3*f + f. Round p to the nearest ten thousand.
140000
Let i = 2870.5 + -2288. What is i rounded to the nearest 100?
600
Let i = -132 + 132.00002416. What is i rounded to five dps?
0.00002
Let y(a) = 4*a + 0 - 4 - a. Let j be y(-8). Let l be 4760004/(-14) - 8/j. What is l rounded to the nearest one hundred thousand?
-300000
Suppose -16 - 12 = 4*b. Let z(c) = -12*c**3 - c**2 + 6*c - 4. Let w be z(b). Suppose q - 1121 = -w. Round q to the nearest 1000.
-3000
Let r = -834.3 - -834.254051. Let y = -0.235809 + r. Let a = 0.282 + y. What is a rounded to five dps?
0.00024
Suppose 0 = -3*i - 2*c + 328264 - 2193974, -621926 = i - 5*c. Let x = -1181906 - i. What is x rounded to the nearest one hundred thousand?
-600000
Let y be 16*(9/(-12) + 1). Let o be (y*-120)/((-3)/(-8250)). Round o to the nearest 100000.
-1300000
Let s = -36 + 20. Let j = s - -17. Let q be (-268)/(j*-4) - 3. What is q rounded to the nearest ten?
60
Let a = 272 + -158. Let v = 751445130.99999947 + -751445245. Let d = a + v. What is d rounded to 7 decimal places?
-0.0000005
Let o = -1 + -20. Let f = 33 + o. Let u = f + -12.01. Round u to two decimal places.
-0.01
Let h = 4 + -31. Let u = 18.2 + h. Round u to the nearest integer.
-9
Let h(q) = -4*q**2 - q + 10. Let d be h(6). Let x = d - 24. Round x to the nearest ten.
-160
Let l(r) = -85767*r + 563. Let w be l(-11). What is w rounded to the nearest 10000?
940000
Let q = 20.328 + -32.3283. Let k = q + 12. Round k to three dps.
0
Let v = -762.367 - -762. Round v to 1 dp.
-0.4
Let c = -49.64466979 - -49.67667. Let o = -0.1 - -0.132. Let t = c - o. Round t to 7 dps.
0.0000002
Suppose 2*o - 2*a = a + 1838006, -2*a - 1838004 = -2*o. Round o to the nearest 100000.
900000
Let n = 41.4 - 39. Let z = 2.9 - n. Round z to the nearest integer.
1
Let k = -1071.7 - -1008. Round k to the nearest integer.
-64
Let l = 0.08166 - -0.0707. W | {
"pile_set_name": "DM Mathematics"
} |
*b*g*u
What is the second derivative of -102*b**2*f**2 - 68*b*f**2 - 1 wrt b?
-204*f**2
What is the second derivative of 816*h**2*j**2*y + 2*h**2*j + h*j + h*y + j*y wrt j?
1632*h**2*y
What is the derivative of 233*o**4 - 397 wrt o?
932*o**3
What is the second derivative of 41*b*s**2*v - b*s**2 + b*s*v - b*s - s**2 + s - 2*v wrt s?
82*b*v - 2*b - 2
Find the third derivative of -177*x**3 + 2*x**2 + 108 wrt x.
-1062
What is the third derivative of -1219*w**4 + 1058*w**2 wrt w?
-29256*w
What is the second derivative of -2877*f*j**2*r**2 + 203*f*j**2*r - 12*f*j - j**2*r**2 wrt r?
-5754*f*j**2 - 2*j**2
What is the second derivative of d*r**2 - 1445*d*r + 791*r**2 wrt r?
2*d + 1582
What is the second derivative of -39*l**5 - 3*l**3*v**3 + 228*l*v**3 wrt l?
-780*l**3 - 18*l*v**3
Find the first derivative of -693*j**4 - 1371.
-2772*j**3
What is the second derivative of -s**3 - 750*s**2 + s + 236?
-6*s - 1500
Differentiate -p**4 + 1203*p**3 + 6565 wrt p.
-4*p**3 + 3609*p**2
Find the first derivative of 243*o**4 + 6*o + 350 wrt o.
972*o**3 + 6
Differentiate -x*z**2 + 2090*x*z + z**2 + 3*z + 940 with respect to x.
-z**2 + 2090*z
Find the third derivative of -4*n*t**5 - 38*n*t**2 - 24*t**6 wrt t.
-240*n*t**2 - 2880*t**3
Find the second derivative of -83*j**4 + 2*j**3 - 14*j**2 - 107*j - 17.
-996*j**2 + 12*j - 28
Find the third derivative of -d**2*z**3 - 12*d**2 - 3*d*z**4 - 6*d*z**3 + 6*d*z**2 wrt z.
-6*d**2 - 72*d*z - 36*d
Differentiate -10*a*s*w**3 + 14*a*s*w + 7*a*w - 4497*s*w**3 + s*w**2 wrt a.
-10*s*w**3 + 14*s*w + 7*w
What is the derivative of -2*f*l**2*s + 83*f*l*s + 2*f*s + 58*l**2*s + 14*s wrt f?
-2*l**2*s + 83*l*s + 2*s
What is the derivative of -3056*s**3 - 1221 wrt s?
-9168*s**2
What is the first derivative of 5089*b**2 - 30066 wrt b?
10178*b
Find the third derivative of -2*b*g**4 - 88*b*g**3 + 30*b*g**2 - 24*g**4 - 14*g**2 - g wrt g.
-48*b*g - 528*b - 576*g
Differentiate -515*n - 687 wrt n.
-515
Find the third derivative of 120*l**2*m**3 + 2*l**2*m**2 + 789*l*m**2 - 2*m**3 wrt m.
720*l**2 - 12
What is the third derivative of -23*g**4*k*w - 10*g**4*w + g**3*k*w - g**2*w + 63*g*k*w + 3*g*w wrt g?
-552*g*k*w - 240*g*w + 6*k*w
What is the second derivative of 2*f**3*j - 4*f**3 + 2*f**2*j - 2*f + 7*j - 21 wrt f?
12*f*j - 24*f + 4*j
What is the third derivative of -29*f**3*n*x + 18*f**3*x**3 - 4*f**2*n**2*x - 3*f*n**2*x**3 + 2*n*x**3 - 7*x**2 - 1 wrt x?
108*f**3 - 18*f*n**2 + 12*n
What is the derivative of 113*w + 143?
113
What is the third derivative of -7*n**5*r + 15*n**5 + n**3*w - 5*n**2*r*w + n**2*r + 6*n**2*w - 11*n**2 wrt n?
-420*n**2*r + 900*n**2 + 6*w
Find the third derivative of -5*k*u**6 - 8*k*u**4 + 4*k*u**2 - 3*k + 3*u**2 wrt u.
-600*k*u**3 - 192*k*u
What is the first derivative of -q**2*x + 4*q**2 + 20*q + 15*x wrt x?
-q**2 + 15
What is the third derivative of 78*k**4*s + 3*k**3 + k**2 - 9*k*s + 2 wrt k?
1872*k*s + 18
What is the third derivative of -396*p**3*z**3 - 2*p**3 + 256*p*z**2 wrt z?
-2376*p**3
What is the second derivative of -51*k**2*s**2 + 3*k**2*s + k*s**2 + 111*k*s + 4*k + 4*s**2 wrt s?
-102*k**2 + 2*k + 8
Find the third derivative of -2*d*g**5 + 34*d + 16*g**5 - 3*g**4 - 10*g**2 - 2 wrt g.
-120*d*g**2 + 960*g**2 - 72*g
What is the third derivative of 2*j*o**4*s**2 - j*o**2*s**2 - 9*j*o*s + 159*o**4*s**2 + 12*s**2 wrt o?
48*j*o*s**2 + 3816*o*s**2
Find the third derivative of -739*f**3 - 855*f**2.
-4434
Find the second derivative of -2*a**3 - 618*a**2 - 2*a + 249.
-12*a - 1236
Find the first derivative of -5*b**2*k**3 - b**2*k*u - 20*b**2*k + 148*b*k**3*u wrt u.
-b**2*k + 148*b*k**3
What is the second derivative of 12*a**2*o*q**2 - a**2*o*q + a**2*q - 1025*a*o*q + 93*q**3 wrt q?
24*a**2*o + 558*q
What is the second derivative of -2*n**3*t**2 + 161*n**3*t - t**3 + t wrt t?
-4*n**3 - 6*t
What is the second derivative of -5*w**4 - 4*w**2 + 924*w wrt w?
-60*w**2 - 8
What is the third derivative of 70*j**4*q + 192*j**2*q + j**2 + j*q wrt j?
1680*j*q
Find the third derivative of 65*l**3*m - 2*l**3 - l**2*m - 3*l**2 + 3*m wrt l.
390*m - 12
What is the second derivative of -6163*a**3 - 2*a**2 - 24925*a?
-36978*a - 4
What is the third derivative of -141*v**5 - 227*v**2?
-8460*v**2
Find the third derivative of -57*h**3 - 100*h**2.
-342
Differentiate -9*l**4 + l**3 - 206 with respect to l.
-36*l**3 + 3*l**2
What is the second derivative of -273*h**3 + 2*h**2 + h + 21?
-1638*h + 4
Find the third derivative of -420*h**3*r**3 + 41*h**2*r**3 - 2 wrt h.
-2520*r**3
Differentiate -a*d*i - 45*a*d*n**2 - 6*a*i**2*n - 455*d*i**2*n**2 + 2*d*i**2*n + d*i*n - 2*d wrt a.
-d*i - 45*d*n**2 - 6*i**2*n
What is the second derivative of 1068*b*o**2 - 54*b*o + 2*o**2 + 2*o wrt o?
2136*b + 4
Find the third derivative of 8*m*u*w**3 - m*u*w**2 - 7*m*u*w - 2*m*u - 4*m*w**3 + u*w**3 wrt w.
48*m*u - 24*m + 6*u
What is the third derivative of -h**4*j**2 + h**3*j**3 - 403*h**3 + 39*h**2*j**2 - 112*h*j**3 wrt h?
-24*h*j**2 + 6*j**3 - 2418
What is the third derivative of r*x**4 - 2*r*x**3 - 18*r*x**2 - 566*r - 7*x**4 - 3*x**3 wrt x?
24*r*x - 12*r - 168*x - 18
Differentiate -n**4 + 18*n**2 - 56*n + 24433 wrt n.
-4*n**3 + 36*n - 56
Differentiate 545*z - 135.
545
What is the third derivative of -138*k**3*v**2 + 11*k**3*v - 2*k**3 + 437*k**2*v**2 - k**2*v + 2*v**2 - 5 wrt k?
-828*v**2 + 66*v - 12
Differentiate 2*p*s**2 - 9*p*s + 837*s**2 with respect to p.
2*s**2 - 9*s
Find the first derivative of -574*x**4 + 317.
-2296*x**3
Differentiate 72*u + 98.
72
Find the third derivative of 42*m**2*r*y**5 + 5*m**2*r*y - 2*m**2*y**2 + 5*m*r*y**3 - 4*m*r*y**2 wrt y.
2520*m**2*r*y**2 + 30*m*r
Differentiate -356*b*p**3 - b + p**3 - 423*p**2 with respect to b.
-356*p**3 - 1
What is the third derivative of 2*d**2*f**2*m**3 - 8*d**2*f**2*m - 14*d*f**2*m**3 - 2*d*f**2*m**2 - 3*d*f**2*m - 2*m wrt m?
12*d**2*f**2 - 84*d*f**2
Find the third derivative of -14027*t**3 + 2*t**2 - 29*t - 15 wrt t.
-84162
Differentiate -808*t*u*y**3 + t*y**3 + 85*t*y - y**3 with respect to u.
-808*t*y**3
Differentiate 158*t*w - 1947*w wrt t.
158*w
What is the second derivative of -510*s**4 + 2*s - 463 wrt s?
-6120*s**2
Find the second derivative of -i**2*t**2*x**2 + 4*i**2*t*x**3 - i**2*t*x + i*q**2*t*x**3 + 6*i*q**2 + 37*q**2*t**2*x**3 - q**2*t*x**2 wrt t.
-2*i**2*x**2 + 74*q**2*x**3
What is the third derivative of 11521*l**3*y - 2*l**2*y - 2895*l*y + 2*l wrt l?
69126*y
What is the third derivative of -2*z**5 - 41*z**4 - 27*z**3 - 23756*z**2 wrt z?
-120*z**2 - 984*z - 162
Find the third derivative of 104*r**5 - 908*r**2 + 2*r + 2 wrt r.
6240*r**2
What is the second derivative of -127*f**5 + f**2 + 2516*f?
-2540*f**3 + 2
Differentiate 5*v**2 + 11*v - 413 with respect to v.
10*v + 11
What is the first derivative of -1246*l**2 + l - 12890?
-2492*l + 1
Differentiate 304*d**4 - 309 with respect to d.
1216*d**3
Differentiate 1042*b*o**2 - b - 4135*o**2 wrt b.
1042*o**2 - 1
What is the third derivative of 246*t**3*w**3 - t**3 + 16*t**2*w**2 wrt w?
1476*t**3
Find the second derivative of -1996*w**5 - 4*w - 39 wrt w.
-39920*w**3
What is the second derivative of 292*r**4 + 14*r**3 - r**2 - 2*r + 17090?
3504*r**2 + 84*r - 2
What is the second derivative of 4*h**3 + 590*h**2 + 24*h - 16 wrt h?
24*h + 1180
Find the first derivative of -a*n**3*t - 4*a*n**2 + 8*a*n - 9*n**3*t + 91*n**3 - 26*n*t wrt t.
-a*n**3 - 9*n**3 - 26*n
Find the third derivative of 442*n**2*t**3 + 3*n**2*t**2 + 6*n**2 - 2*t**3 - 5*t wrt t.
2652*n**2 - 12
Find the second derivative of -3*f**3*p**3 + 39*f**3*p**2 + f**3 - f**2 - 4*f*p**3 + 14*f*p wrt p.
-18*f**3*p + 78*f**3 - 24*f*p
What is the second derivative of 2041*m**4 + 2582*m?
24492*m**2
What is the third derivative of m**2*o**4 + 60*m**2*o**3 - 3*m**2*o - o**4 - 551*o**2 wrt o?
24*m**2*o + 360*m**2 - 24*o
Find the second derivative of 3*q**3*r + 127*q**2*r + 16*q*r + 2*q - 11*r wrt q.
18*q*r + 254*r
Find the third derivative of -1812*r**6 - 582*r**2 - r wrt r.
-217440*r**3
What is the second derivative of 33*r*s**2 + 3*r + 8*s**2 + 20*s wrt s?
66*r + 16
Find the third derivative of 8*b**4*m - 2*b**3*m - 2*b**2*m - 2*b**2 + 42*m wrt b.
192*b*m - 12*m
What is the third derivative of -23*b*l**5 + 2*b*l**3 + 3*b*l**2 + l**2 wrt l?
-1380*b*l**2 + 12*b
Find the third derivative of -44*q**4*s**2 | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when 87 is divided by 2 - 3/2*(t + 16)?
2
Suppose 0 = 16*g - 182 - 458. Suppose 4 = 2*a, 4*a = -5*x - 0*a + 128. Suppose 4*t - g = x. What is the remainder when 29 is divided by t?
13
Suppose -3*u = 6, 4*s - 14 = -0*s + 3*u. Suppose -m = r + 2*r - 48, -172 = -5*m + s*r. What is the remainder when m is divided by (13 + -14)*3 - -26?
13
Suppose 0 = -14*d + 2150 - 218. Let v(k) = k**2 - 1. Let u be v(2). Suppose a - t = -2*t + 44, -u*t - d = -3*a. Calculate the remainder when a is divided by 16.
13
Let x be (-3)/12 - (-97)/4. Suppose r + x = 2*r. Suppose -2*h - 101 = -j, -j + 0*h + 5*h = -77. What is the remainder when j is divided by r?
21
Let q = 164 + -104. Let w(n) = 7*n - 32. Let o be w(5). Suppose -s + 0*t + 17 = -5*t, -5*s + o*t + 85 = 0. Calculate the remainder when q is divided by s.
9
Suppose -96*n + 3296 = -1408. Let a(h) = -22*h - 6. What is the remainder when a(-11) is divided by n?
40
Suppose -4*l + 11 = 7, 5*p - 5*l = -40. Let o(z) = 1 - 6 - 6*z - 2. Calculate the remainder when o(p) is divided by 10.
5
Suppose 3*n - 875 = 5*z, -n = 5*z - 36 - 249. Calculate the remainder when n is divided by 44.
26
Let l be (56/98)/(4/(-14)). Let p(k) = -6*k + 1. Calculate the remainder when ((-108)/3*l)/2 is divided by p(-3).
17
Let s(l) = l**3 + 10*l**2 - 14*l - 11. Let i be s(-11). Suppose 1181 = i*x - 1877. What is the remainder when x is divided by 9?
4
What is the remainder when (-9)/2*(208/(-216))/(9/702) is divided by 72?
50
Let j(u) = -58*u**3 + 7*u**2 + 24*u + 15. Let z(a) = 5*a**2 + 2*a - 3. What is the remainder when j(-1) is divided by z(2)?
14
Suppose 2*l - 3*a - 4416 = -3814, 4*a + 602 = 2*l. Calculate the remainder when l is divided by 18.
13
Suppose 2*x - i = 114, 0 = -154*x + 155*x - i - 58. What is the remainder when 413 is divided by x?
21
Let d(s) = 2*s**2 - 3*s + 2. Let p = -20 + 26. Suppose 2*k - p = 0, -5*k = -5*a - 4*k + 82. Calculate the remainder when d(-5) is divided by a.
16
Let b be (0/1)/((-12)/6). Suppose -3*q - 2*p + 62 = b, -4*q = -11*p + 9*p - 64. What is the remainder when 143 is divided by q?
17
Suppose -15 + 3 = -3*u, -5*g - u = 1. What is the remainder when 40 is divided by 9 + 4 + 1 + (g - -1)?
12
Let x = 138 + -135. Suppose 358 = x*z + 5*g, 4*z + g = 3*g + 434. Suppose 34 - z = -11*h. What is the remainder when 18 is divided by h?
4
Suppose -52*m - 11*m = 51*m - 79230. What is the remainder when m is divided by 69?
5
Let m be (8/28)/(8/7 + -1). Suppose -4 - 5 = c + 5*w, 5*c - 47 = -m*w. Suppose 3*z - 195 = -2*z. Calculate the remainder when z is divided by c.
6
Let g(b) = 4*b**2 - 173*b + 779. What is the remainder when g(5) is divided by -3*2*8/(-6)?
6
Suppose 65 = 16*t - 11*t + j, 75 = 5*t - j. What is the remainder when 68 is divided by t?
12
Suppose -737*f + p = -741*f + 2877, 0 = 5*p - 5. What is the remainder when f is divided by 60?
59
Let u be (5 + -3 - 2) + 0. Suppose -5*q - 67 + 1632 = u. What is the remainder when q is divided by 63?
61
Suppose -6 = -x - 2*r, -4*x + 9*x - 3*r + 9 = 0. Suppose x = 5*z + 55 - 130. What is the remainder when 37 is divided by z?
7
Suppose 0 = m + 3*m - 12. Suppose -4 - 185 = -m*d. Calculate the remainder when d is divided by 22 - ((-360)/(-63) - 4/(-14)).
15
Suppose -59 = 2*d - 5*g, 0 = -0*g + 2*g - 6. Let h = d - -26. Suppose -3*v + 3*j + 45 + 51 = 0, 0 = h*v + j - 113. What is the remainder when v is divided by 8?
5
What is the remainder when 2497 is divided by (9945/(-18))/(-13)*(-12)/(-10)?
49
Calculate the remainder when 7344 is divided by 41 - (1/(-12) - (-2783)/276).
28
Suppose 2*l + 264 = 242. Suppose -23 = -k + 12. Let j = l + k. Calculate the remainder when 90 is divided by j.
18
Suppose 4*y + 2*d - d - 429 = 0, -y + 123 = -2*d. What is the remainder when 353 is divided by y?
26
Let g = 92 + -86. Let z be (-2 + g - 77) + (-3)/(-1). Let s = -61 - z. Calculate the remainder when 124 is divided by s.
7
Let c(h) = -2*h + 7. Let g be c(-13). Let x = -30 + g. Suppose -3*m + x*k + 123 = 5*k, 192 = 5*m - k. What is the remainder when m is divided by 21?
18
Suppose 1 = i - r, -5*i + 3 = 2*r - 9. Let j(h) = -h**2 + 9*h - 11. What is the remainder when -1*(-6 - 4/i) is divided by j(2)?
2
Let g be -3*(2 + -1) + 8. Suppose 3*f + 46 = 5*f + 4*o, g*o = f - 2. Let u(j) = -j**3 + 33*j**2 - 30*j - 54. What is the remainder when f is divided by u(32)?
7
Let h(f) = 30*f + 4560. What is the remainder when h(-134) is divided by 133?
8
Let p(b) = -b**2 - 22*b - 89. What is the remainder when 3159 is divided by p(-12)?
28
Let m(l) be the second derivative of l**5/20 - l**4/6 - l**3/3 + 2*l**2 + 14*l - 2. Calculate the remainder when m(4) is divided by 17.
11
Suppose -5*m - 15 = 0, -7*m + 8*m - 25 = -4*r. Suppose -3*l + 209 + r = 0. Calculate the remainder when l is divided by 16.
8
Let m = 722 - 607. Let k(h) = -h**3 - 2*h**2 - 2*h. Calculate the remainder when m is divided by k(-4).
35
What is the remainder when (-130)/(-520) - 22422/(-8) is divided by 349?
11
Let m(t) = -t**3 + 23*t**2 + t. Let s(b) = -b**3 + 13*b**2 + 4*b - 38. What is the remainder when m(23) is divided by s(13)?
9
Let o = -160 + 166. Suppose -76 + o = -14*v. What is the remainder when 32 is divided by v?
2
Suppose -52*h + 249 = -15091. What is the remainder when h is divided by 187?
108
Suppose 23*z = -66*z + 3827. Calculate the remainder when z is divided by (-3)/18 - 628/(-24).
17
Let z = 3705 + -3634. Let s(b) = -2*b - 3. Calculate the remainder when z is divided by s(-9).
11
Let d(w) = 2*w - 102. Let i be d(-29). Let n = -136 - i. What is the remainder when 28 is divided by n?
4
Suppose 11*o + 124 = -20*o. Let c(u) = -u**3 - 2*u**2 - 8*u - 3. What is the remainder when c(o) is divided by 23?
15
Let h be 4/(-34) + ((-18)/(-51))/3. Suppose h = -c - 5 + 16. What is the remainder when 117 is divided by c?
7
Let o be (-15)/(-5) + (-2)/(-1). Suppose -3*g - 18 + 102 = -o*f, -f = -g + 28. Let k(q) = -q**2 + q + 8. What is the remainder when g is divided by k(0)?
4
Calculate the remainder when 993 is divided by (-13 - -1)/(374/(-9537)).
75
Let t(x) = -331*x - 3905. What is the remainder when 2879 is divided by t(-12)?
65
Let s(z) be the third derivative of 7*z**4/24 - 14*z**3 + 79*z**2. What is the remainder when 69 is divided by s(15)?
6
Suppose 0 = -l + g + 25, -3*l + 90 = -4*g + 16. What is the remainder when 8993 is divided by l?
23
Let u = 957 + -924. Suppose -5*p = -2*d - 1478, -p - 3*d + 168 = -131. Calculate the remainder when p is divided by u.
32
Let p be (-3 - -1) + -2 - -9. Suppose -5*y - p*q + 275 = 0, -2*q = -3*y + 7*y - 222. Let u = y + -48. What is the remainder when 22 is divided by u?
6
Let o = -1061 + 1503. Let m = -440 + o. Calculate the remainder when m is divided by 1.
0
Suppose 0 = -27*k - 339*k + 397476. Calculate the remainder when k is divided by 13.
7
Let v(y) be the first derivative of y**4/2 - 11*y**3/3 - 3*y**2/2 + 11*y - 73. What is the remainder when 112 is divided by v(6)?
25
Let l(f) = f**2 - 6*f - 12. Suppose -5*a + 5*u - 53 - 27 = 0, -18 = a - 3*u. Let y be (12/(-10))/((-3)/a). Calculate the remainder when l(y) is divided by 7.
4
Let h(s) = -s**2 + 16*s + 5664. What is the remainder when h(0) is divided by 11?
10
Let d be (-1 + -6)/(-14) - 1614/(-4). Let z = d + -328. What is the remainder when z is divided by 13?
11
Let a be 1 - (6 + 0) - -4. Let n(p) = 10*p**2 + 2*p + 2. What is the remainder when n(-1) is divided by (8/(-20)*a)/((-1)/(-5))?
0
Calculate the remainder when 179 is divided by (117 - -7) + (-2)/2*6.
61
Suppose 2*s - k = -s - 1029, -3 = -k. Suppose -5*c - 3*a + 152 = 0, 2*a - 11411 + 11403 = 0. What is the remainder when c is divided by 2/(-7) - s/21?
12
Let c = 6700 - 6679. What is the remainder when c is divided by (-1)/(-4) - 189/(-12)?
5
Let l = -881 + 893. What is the remainder when 14578 is divided by l?
10
What is the remainder when (-53212)/(-265) - (-1)/5 is divided by 68?
65
Let r(u) = 33*u**3 + u**2 + 225*u - 694. What is the remainder when r(3) is divided by 70?
41
Let k(r) = r**3 - 20*r**2 - 332*r - 67. Calculate the remainder when 647 is divided by k(31).
11
Suppose 0 = -x - 10, -5*h = 1375*x - 1370*x - 150. Let l = 153 - 74. Calculate the remainder when l is divided by h.
39
Let l(h) = 3*h**2 - 3*h - 4. Let c be ((-9)/(252/(-16 | {
"pile_set_name": "DM Mathematics"
} |
717 - 338. Let z = 0.683 + p. Which is the closest to 0? (a) -0.5 (b) 0.7 (c) z
c
Let b = 6.93 - 7. Let l = 3248 + -3248. What is the closest to l in -1/3, b, -0.1?
b
Let y = 0.058 + -0.303. Let j = 17 - 17.045. Let w = y - j. What is the nearest to w in 3, 4, -5?
3
Let a = 0.39175 + -0.29175. What is the nearest to a in -2, 1.02, -7?
1.02
Let a = -0.105 - -0.075. What is the nearest to -0.02 in -2/7, a, 3, -1?
a
Let w = -64 - -26. Let v = w + 28. Let b = 12 + v. What is the closest to 2 in -2, 2/11, b?
b
Let s be 15/(-5) - (-3 - (-16)/88). Suppose 6 = -q + 3. Which is the nearest to -1? (a) q (b) 3/7 (c) 27 (d) s
d
Let o = -33/4 - -8. Let a = 608 + -606. What is the nearest to 1 in o, 0.04, a?
0.04
Let z = 0.58 + 0.42. Which is the closest to 2? (a) 12 (b) -1 (c) z (d) 0.2
c
Suppose 5*w - 3*t = 26 - 27, t = 2*w. Which is the closest to w? (a) -0.4 (b) 8 (c) 3/2 (d) -4
c
Let h = 10.2 - 11. Let a = -0.4 - h. Let s = 0.216417 - 2.216417. What is the nearest to 2/7 in a, 3, s?
a
Suppose 0 = -21*r + 48*r. Let p = -2.9 + 3. What is the nearest to 2/5 in -3, p, r?
p
Let g = 39/4 + -269/28. Which is the closest to -2? (a) g (b) 0.3 (c) -0.053
c
Suppose -5*x + 58 = -4*w + 7*w, 2*x + 23 = 3*w. What is the closest to 1 in w, -4, -0.06?
-0.06
Let m = 13 - 16. Let u be -4 + (-152)/(-16) + (-2)/4. Suppose u*h - 3*h = 2. What is the nearest to 1 in -0.2, m, h?
h
Let k = 0.2021 - 3.4521. Which is the nearest to -0.2? (a) k (b) 1/6 (c) 1
b
Let t = 169 - 842/5. Let y = 0.3235 + -0.0235. Which is the closest to t? (a) y (b) -4/3 (c) 0.2
a
Let j be (-6 + 228/30)/((-2)/(-15)). Suppose 2*x - 16 = -j. Let q = -2 - 0. Which is the nearest to q? (a) -1/4 (b) -2 (c) x
b
Let j = -4.9 + 8.5. Let d = j - 2.7. Let n = 0.5 - d. Which is the closest to -0.2? (a) -3/2 (b) n (c) 1/4
b
Let s = 335 + -321. Suppose r = 8*r - s. What is the nearest to r in 1, -2/9, 0.2?
1
Let y = -0.2 + -0.3. Let n = 21291 - 21291.4. Which is the nearest to 1? (a) y (b) 0.4 (c) n
b
Let n = 4.132 - 4.1. Let u = -0.02 + n. Let a = 24.988 + u. What is the closest to 0.1 in a, 5, 4?
4
Let w = 42 - 42.5. Let x = -61 + 33. Let u = 25 + x. What is the closest to 0.2 in -2, w, u?
w
Let j = -2213 - -2213.4. Which is the closest to j? (a) -2/5 (b) -16/7 (c) -4/5
a
Let l = -49 - -48.5. What is the closest to l in -1, -3, 14?
-1
Let f(k) = 1070*k + 6420. Let n be f(-6). What is the nearest to -0.1 in -2/9, n, -6, -3?
n
Let y be 2/(-2) + 2250/18 - -6. Let i be (-832)/y + (7 - 1). Which is the nearest to i? (a) -2/13 (b) -0.07 (c) -4/7 (d) -0.4
d
Let q be 156/104*(-2)/69*2. Let k = -21 - -22. Which is the nearest to q? (a) 0.5 (b) -1/4 (c) k
b
Let o = -2119 - -2110. Let h be 19/5 - (-4)/20. Suppose -2 - 6 = -h*j. Which is the closest to 0? (a) o (b) j (c) 0.5
c
Let s = 62.46 + -61.46. What is the closest to s in -11.2, -4/3, -0.5, -2?
-0.5
Let m be (1 - 2)*((-8)/(-2) + -9). Suppose -m*h = 16 - 6. Let v be (14/21)/(-11*2/6). Which is the closest to h? (a) 1/7 (b) v (c) -1/3
c
Let w = -2.03 + 0.03. Let n be (15 - 132/8)*(-51)/9. Which is the nearest to 2/5? (a) 1/9 (b) n (c) w
a
Let m = 1.808 - -0.192. Let h = -5/21 + 4/7. Let v = -31.9 - -32.2. What is the nearest to h in m, 0.1, v?
v
Let b be (1/(-3))/(-10*(835/75 + -11)). Let o(r) = 3*r**3 - 3*r**2 - 2*r - 2. Let n be o(3). Let d = n + -136/3. What is the nearest to d in -0.3, 2, b?
b
Suppose 4*u - 3*u + 7 = 0. Let x be 2 - (19/u - 22/77). What is the nearest to 1 in 4, -2/5, x?
-2/5
Let f be (6/(-264))/(21/12 - 2). Let s be (13 + -4)/9 + 1. Which is the closest to f? (a) 2/5 (b) s (c) 3/2
a
Let f(w) = w**2 + 40*w + 196. Let r be f(-38). Let o be r/(-72) - (-16)/6. Let y = -0.1 + -0.1. What is the nearest to 0.05 in y, o, 2?
y
Suppose 24*v - 19*v + 5 = 2*m, 2*m + 5 = -5*v. Let p be -10*v/2 + 12/(-4). Let h = -0.4 - 0.1. Which is the nearest to 3? (a) h (b) -1 (c) p
c
Let m be 1/((5/(-2))/5). Let v be (-3)/(-30) + 1/m. Let y = -220226 - -1541584/7. Which is the closest to v? (a) y (b) -0.5 (c) 3
b
Let r = -10037/2 + 5014. Which is the nearest to 0? (a) 5 (b) r (c) 52
b
Let g = 1723/10554 - -6/1759. Which is the closest to 0? (a) -7 (b) 2/3 (c) -25 (d) g
d
Let l = 9577.94 - 9738. Let t = l + 160. Which is the nearest to 0.5? (a) -5 (b) t (c) -2/13
b
Let g = 5.38 + -5.58. Let h = -2158/11 + 196. What is the closest to 0 in h, g, -4.3, -3?
h
Let w = -13831 + 13836. What is the closest to -1 in -24, -3, w, -1?
-1
Let d be (106/(-15))/((-654)/60). Let f = -2/109 - d. Let m be 57/38*30/9. What is the nearest to -1/3 in f, m, 0.4?
f
Let t = 0.17309 + -0.27309. Let r = 0.1 + -0.5. Let z = r - 0. Which is the nearest to -1? (a) t (b) z (c) 2/7
b
Suppose j - 9 = -2*j. Let f be ((-2)/(-6))/(2/j). Let o = -12369 + 37111/3. What is the nearest to f in -3, o, -5?
o
Let m = -4080 + 142798/35. Which is the nearest to -2/5? (a) 3/7 (b) 6 (c) m (d) -0.3
d
Let z = -14 + 16. Let q be (3/z)/((-9)/12). Suppose 5*p + 0*p + 5 = 2*m, -5*m + 4 = -4*p. Which is the closest to p? (a) -0.3 (b) -0.2 (c) q
a
Suppose -25 = -5*k, -2*f - 11 = -37*k + 36*k. Let u be (-5)/2*(-3)/30. What is the closest to u in 0, -2/25, f?
0
Let x = 0.47 + 4.13. Let z = 0.6 - x. Let m = 8 + z. Which is the nearest to 2/5? (a) m (b) -2 (c) 0.3
c
Let d = 20 + -137. Let l = 113 + d. Let r = 17/33 - 2/11. Which is the nearest to r? (a) 2 (b) l (c) 0
c
Let u = 890795 + -890796. Let a = -143/20 - -37/5. Let g = -621/7 - -89. What is the nearest to g in a, u, -0.5?
a
Let k be (-4)/50 + 8528/(-400). Let j = -229/10 - k. Suppose 2*w = 2*o, 5*o - 2*w = -7*w + 30. Which is the nearest to 2? (a) j (b) 4/3 (c) o
b
Let z be -293 + 1 + (-5)/((-15)/(-6)). Let y be (-2)/(-20) + -8 + z/(-35). Which is the closest to 0.1? (a) 11 (b) y (c) -2/5
b
Let v = 11926 + -59626/5. Let c be (-5)/((-10)/(-4)) + 2. What is the nearest to c in v, 5, -1?
v
Let j = 34.95 - 35.95. Which is the nearest to -71? (a) j (b) 0.5 (c) 0.7
a
Let n = 343 + -344. Let r = 1101 - 1110. Let i = 0.7 - -0.3. Which is the closest to n? (a) r (b) i (c) -5
b
Let o = 0.9 + 0.1. Let a = -77/12 - -20/3. Suppose 3*z + t = -2, 9 = t + 8. What is the nearest to z in 3/2, a, o?
a
Let u = -2672/6349 - 7/907. What is the nearest to 1.3 in u, -2/3, 2/7, -0.2?
2/7
Suppose 1 = -f, -u - f - 2*f = 4. Let v be (-1)/(u/(-2) + 0)*-84. Let i be (-36)/(-35) + (-72)/v. What is the nearest to 2/3 in i, 0.3, -1?
i
Let j = -1594 + 7971/5. Let r = -4 + 5. Let s = -3 + r. What is the nearest to s in j, -3, 3?
-3
Let w be 1*((-11)/4 - -3). Let g be 15170/16280 + (-3)/4. What is the closest to 0.1 in w, 1/5, g?
g
Let n = 1 + 3. Let m = 57.2 + -59.2. What is the closest to 0 in n, m, 14?
m
Let q = -397 - -397.1. Let f = -9.74 + 10. Let u = 0.76 - f. Which is the nearest to 1? (a) -3 (b) q (c) u
c
Let o = -0.077 + -35.923. Let y = o - -6. Let z = y + 30.3. Which is the nearest to -5? (a) z (b) -5 (c) -0.2
b
Let u = -195 - -452. Let s = u - 251. What is the closest to s in 0.1, -5, -3?
0.1
Let z = 454 + -675. Let y = 210 + z. What is the closest to y in -2/3, 2/13, -3?
-3
Let x = -0.7 + -0.2. Let r be (398/10 - 5)/((-1)/(-10)). Let w = r + -343. What is the closest to -1 in x, 0.3, w?
x
Let w = 7.44 + -75.24. Let g = -66 - w. Which is the closest to 0? (a) -5 (b) g (c) 4
b
Let l = 5.1 - 5. Let y = -331/2 + 103. Let j = -63 - y. Which is the closest to l? (a) -12 (b) j (c) 3
b
Let j = -788.021 - -785. Let l = j + 0.021. What is the closest to -1/5 in l, 3, -2?
-2
Let i = -29034 + 29022.1. Which is the closest to 1? (a) i (b) -1/3 (c) 14
b
Let r(n) = 2*n**3 - 18*n**2 + 8*n - 78. Let f be r(9). Which is the closest to 1? (a) -90 (b) f (c) -4 (d) -5
c
Let s(c) = -c**2 - 5*c + 65. Let x be s(6). Let o be 31/105 - (-14)/((-1176)/36). What is the nearest to -1 in o, -2/3, x, -14?
x
Let a = -16387 + 16387. Let h be (-4)/(-6)*3/(-5). What is the closest to a in h, -5, 0.2?
0.2
Let q = 0.1585 - -0.0415. Let c = -4.6 - -4.6. What is the nearest to -2 in c, q, 5?
c
Let x be 16/7 + (-2527)/(-931). Which is the closest to -2? (a) x (b) 6 (c) -0.1
c
Suppose 4*m - 29 = 3*g + 12, 2*g = -4*m - 54. Which is the closest to 0.1? (a) 5 (b) g (c) 7
a
Let r be 1/(-9) - (-110)/(-792). Let l = | {
"pile_set_name": "DM Mathematics"
} |
704, -5034, -6564, -8312?
-10296
What is next in 33747, 33623, 33429, 33165, 32831, 32427, 31953?
31409
What comes next: -39723, -39881, -40147, -40521?
-41003
What is next in 8108, 5531, 2954, 377?
-2200
What comes next: -3652, -8076, -20084, -43468, -82020, -139532, -219796?
-326604
What is next in -144875, -289886, -434897?
-579908
What is next in 957874, 957843, 957796, 957733, 957654, 957559, 957448?
957321
What is next in -101310, -101364, -101432, -101496, -101538, -101540?
-101484
What is next in -230, -230, -136, 52, 334, 710?
1180
What comes next: 2295, 7372, 15843, 27714, 42991, 61680, 83787?
109318
What is next in 31866, 63153, 94440, 125727, 157014?
188301
What comes next: -643, 327, 1925, 4139, 6957, 10367, 14357?
18915
What comes next: -272, -181, 498, 1987, 4508?
8283
What is the next term in -24, -235, -488, -783, -1120, -1499, -1920?
-2383
What comes next: 3430, 13887, 31326, 55753, 87174?
125595
What is next in 1071, 2206, 3321, 4422, 5515?
6606
What comes next: 2955, 12190, 27563, 49068, 76699?
110450
What is next in -385218, -769712, -1154206, -1538700?
-1923194
What comes next: 1403, 9520, 31563, 74498, 145291?
250908
What comes next: 13510, 49273, 85036, 120799?
156562
What comes next: 12437, 26164, 39891, 53618, 67345?
81072
What comes next: -1224, -4000, -11668, -26718, -51640, -88924, -141060, -210538?
-299848
What is the next term in 42614226, 42614243, 42614272, 42614313, 42614366, 42614431, 42614508?
42614597
What comes next: 13815, 27624, 41431, 55236, 69039?
82840
What is the next term in 20961131, 41922254, 62883373, 83844488, 104805599, 125766706?
146727809
What is the next term in -4594399, -4594409, -4594419?
-4594429
What is next in 2525, 2514, 2485, 2414, 2277, 2050, 1709, 1230?
589
What is next in 2282, 2067, 1738, 1289, 714, 7, -838, -1827?
-2966
What comes next: -263540, -527718, -792534, -1057982, -1324056, -1590750, -1858058, -2125974?
-2394492
What is next in -908, -315, 3256, 11299, 25308, 46777, 77200, 118071?
170884
What is next in 2848, 7357, 11878, 16417, 20980, 25573, 30202?
34873
What comes next: 1851, 2005, 2203, 2397, 2539?
2581
What comes next: -1234488, -2469001, -3703526, -4938069, -6172636, -7407233, -8641866?
-9876541
What is next in -9550, -19091, -28636, -38185, -47738?
-57295
What is the next term in 18325297, 36650588, 54975879?
73301170
What is next in -14720, -29383, -43994, -58559, -73084?
-87575
What is the next term in 5641183, 5641190, 5641197?
5641204
What is the next term in 734, 1449, 2658, 4367, 6582, 9309, 12554, 16323?
20622
What is the next term in 1986, 4355, 7096, 10209, 13694?
17551
What is the next term in 74105, 142998, 211891, 280784, 349677?
418570
What comes next: -39617, -79396, -119175?
-158954
What comes next: 497065, 1988282, 4473651, 7953172, 12426845, 17894670?
24356647
What is the next term in -2821, -5927, -9043, -12169, -15305?
-18451
What comes next: -447, -2516, -7263, -15750, -29039?
-48192
What comes next: -24708, -98880, -222452, -395388, -617652, -889208, -1210020?
-1580052
What comes next: -1968530, -3937060, -5905590, -7874120, -9842650?
-11811180
What is the next term in 526339, 526647, 526955, 527263, 527571, 527879?
528187
What is next in 1193, 7649, 24581, 57221, 110801, 190553, 301709?
449501
What comes next: 19577, 19992, 20697, 21704, 23025, 24672, 26657, 28992?
31689
What comes next: -553035, -1105922, -1658809, -2211696, -2764583?
-3317470
What is next in -184061, -368199, -552337, -736475, -920613?
-1104751
What is the next term in -643, -2478, -5563, -9898?
-15483
What is the next term in -5558645, -11117283, -16675921, -22234559?
-27793197
What comes next: 19138351, 19138349, 19138347?
19138345
What is the next term in -120374, -120399, -120422, -120443, -120462, -120479?
-120494
What is next in -816054, -1632084, -2448076, -3264012, -4079874, -4895644, -5711304, -6526836?
-7342222
What is the next term in -106150, -106061, -105912, -105703, -105434, -105105, -104716?
-104267
What is next in 15253, 13396, 11539, 9682?
7825
What is the next term in 213320, 426672, 640088, 853598, 1067232, 1281020?
1494992
What is next in 335815, 335521, 335227?
334933
What is the next term in 13371, 12897, 12411, 11907, 11379, 10821?
10227
What comes next: 1407, 2772, 4181, 5634, 7131, 8672?
10257
What is the next term in 2291528, 2291593, 2291658, 2291723, 2291788, 2291853?
2291918
What is next in 53639, 53642, 53633, 53606, 53555, 53474, 53357, 53198?
52991
What is the next term in 217837, 435506, 653005, 870334, 1087493, 1304482?
1521301
What is the next term in 650545029, 650545030, 650545031, 650545032, 650545033, 650545034?
650545035
What is next in 10229124, 10229129, 10229136, 10229145, 10229156, 10229169, 10229184?
10229201
What is next in -10177, -20698, -31221, -41746, -52273, -62802?
-73333
What comes next: -1145, -9554, -32359, -76760, -149957, -259150?
-411539
What is next in 1235, 2370, 3443, 4442, 5355, 6170, 6875, 7458?
7907
What is the next term in 19916506, 19916505, 19916504, 19916503, 19916502?
19916501
What is the next term in -28193, -112439, -252837, -449381, -702065, -1010883, -1375829?
-1796897
What comes next: 279465, 558912, 838337, 1117728, 1397073, 1676360, 1955577?
2234712
What is next in 465798, 931515, 1397232, 1862949, 2328666, 2794383?
3260100
What is the next term in 3109500, 3109498, 3109496, 3109494, 3109492?
3109490
What is next in 2930375, 5860750, 8791125, 11721500?
14651875
What is the next term in 1586, 6214, 14322, 26234, 42274, 62766, 88034, 118402?
154194
What comes next: 92255, 92270, 92285, 92300?
92315
What comes next: 8947970, 8947974, 8947978, 8947982?
8947986
What is next in -38808, -77913, -117018, -156123, -195228?
-234333
What is the next term in -191834, -191856, -191880, -191906, -191934, -191964, -191996?
-192030
What comes next: 7353, 13950, 20545, 27138, 33729, 40318, 46905?
53490
What comes next: -88998, -179257, -269516, -359775?
-450034
What is next in -3022, -6029, -9018, -11989, -14942, -17877?
-20794
What comes next: 8616, 3102, -2398, -7878, -13332, -18754, -24138, -29478?
-34768
What is the next term in -8215, -32883, -73991, -131527, -205479, -295835, -402583, -525711?
-665207
What is next in -11895697, -23791325, -35686953, -47582581?
-59478209
What is next in 14570532, 14570531, 14570530, 14570529, 14570528?
14570527
What is the next term in 399, 828, 1267, 1722, 2199, 2704?
3243
What comes next: 52000, 109198, 166396?
223594
What is next in -13070484, -13070578, -13070734, -13070952, -13071232, -13071574, -13071978?
-13072444
What is the next term in -118260, -118036, -117418, -116208, -114208?
-111220
What is next in 362, 1439, 3912, 8459, 15758?
26487
What comes next: 2043, 4685, 8529, 14175, 22223, 33273, 47925, 66779?
90435
What is next in -7032, -7024, -7026, -7038, -7060, -7092?
-7134
What comes next: -751, -2959, -6599, -11635, -18031?
-25751
What is next in 589, 1340, 2407, 3958, 6161, 9184, 13195, 18362?
24853
What is next in 30679, 23551, 11671, -4961, -26345?
-52481
What is next in -7043554, -7043557, -7043560, -7043563?
-7043566
What is next in 866956, 866990, 867024, 867058, 867092, 867126?
867160
What comes next: -1349331, -1349328, -1349341, -1349370, -1349415?
-1349476
What is the next term in -118998, -237990, -356978, -475962, -594942?
-713918
What is next in 1406, -7980, -17370, -26770, -36186?
-45624
What comes next: 18417, 48470, 98559, 168684, 258845?
369042
What comes next: -23, -203, -591, -1307, -2471?
-4203
What is next in -3192, -3307, -3464, -3663, -3904?
-4187
What comes next: 599, 4729, 15979, 37907, 74071, 128029, 203339?
303559
What is the next term in 395271, 790576, 1185881, 1581186, 1976491, 2371796?
2767101
What is the next term in -185, 1089, 5271, 13813, 28167?
49785
What comes next: -787862163, -787862164, -787862165, -787862166, -787862167?
-787862168
What is the next term in -1540, -3786, -6006, -8200, -10368, -12510?
-14626
What is the next term in 3110, 6075, 8758, 11021, 12726, 13735, 13910?
13113
What comes next: -285, 1298, 5589, 13944, 27719, 48270, 76953, 115124?
164139
What is the next term in -1142172, -2284169, -3426166, -4568163, -5710160, -6852157?
-7994154
What is the next term in -6828, -54875, -185508, -440097, -860012, - | {
"pile_set_name": "DM Mathematics"
} |
ate the highest common factor of o and 117.
13
Suppose 5*h - 584 = 3*c, -2*c = 3*c - 2*h + 986. Let q = c - -486. Calculate the highest common factor of q and 32.
32
Suppose 2*s = 8, 2*i - 81 = s + 67. Suppose 5*l - 24 = i. What is the greatest common divisor of l and 5?
5
Let t be (1 + -2 + -1)*-1. Suppose 7*z = t*z + 85. Let n = z - 6. Calculate the greatest common divisor of 77 and n.
11
Suppose -2*m - 462 = -13*m. Calculate the greatest common divisor of 14 and m.
14
Let n(u) = 3 - 3 + 14*u + u. Let p be n(2). Let c(r) = 2*r**2 + 5*r - 2. Let w be c(-4). What is the highest common divisor of p and w?
10
Suppose -4*t - 4*b - 11 = -3, 0 = -2*t + 4*b + 14. What is the greatest common factor of 5 and t?
1
Suppose -3*f = 4*g - 1 + 4, 4*f + 20 = 0. Let r be 786/(-12) - 1/2. Let s be ((r/(-1))/2)/1. Calculate the greatest common factor of g and s.
3
Let i be 638/10 + (-17)/(-85). Let s(l) = -l + 1. Let r be s(-7). What is the highest common factor of r and i?
8
Suppose 0 = c + 3*c - 24. Suppose 9*w - c*w = 6. Let m be (-9)/(-2)*8/6. What is the highest common factor of m and w?
2
Let y be (40/6)/(2/18). Suppose 3*h + h = -y. Let v be 4/10 - 114/h. What is the greatest common divisor of 80 and v?
8
Let j(n) = 2*n**3 - n**2 - n - 2. Let p be j(2). What is the greatest common divisor of 4 and p?
4
Let q(g) = 2*g**2 - 8*g + 2. Let c be q(6). Suppose -3*m + 65 = 2*m. What is the greatest common factor of c and m?
13
Let p be (-483)/(-9) + (-12)/(-9). What is the highest common factor of p and 11?
11
Suppose -3*y = -4*y + 39. Let g = 69 - y. Suppose 3*l - 3*r - 45 = 0, -l - r = 3*r. Calculate the greatest common factor of l and g.
6
Let v = -67 - -257. Calculate the greatest common factor of v and 38.
38
Suppose -3*f = -3*d - 0 + 15, d = 5. Let h be f - 2*(-4 + 0). Let n(i) = 16*i**2 + 3*i - 3. Let p be n(1). What is the greatest common factor of h and p?
8
Let s be (-16)/(-6)*((-93)/(-6) - 5). What is the greatest common divisor of s and 4?
4
Let z be (-1)/1 - 1*-28. Let c = z + -6. Suppose -2*a + 50 = 4*x, 0*x + 3*a = 2*x - c. What is the highest common divisor of 12 and x?
12
Let y be 150/4*(-4)/(-3). Let k = y - 8. What is the highest common divisor of k and 6?
6
Let t(c) = -c - 1. Let h(y) = y**2 + 11*y - 4. Let p(v) = -h(v) - 4*t(v). Let a be p(-8). Let w = a - -1. Calculate the highest common divisor of 2 and w.
1
Let t = 1 - -1. Suppose -3 = -t*v + 1. Let q be -1 + 12 + 1 - v. Calculate the greatest common factor of q and 2.
2
Suppose 3*r - 5*p - 34 = 0, p - 7 = -6*r + 2*r. Calculate the highest common divisor of 1 and r.
1
Let l = 2 + -8. Let y(g) = -g**2 - 8*g - 9. Let q be y(l). Calculate the highest common divisor of q and 3.
3
Let b be 1 + 1*-3 - -41. Let i(c) = c**3 + 5*c**2 + 4*c + 13. Let o be i(-4). What is the greatest common divisor of b and o?
13
Let y be 1 + -1 + 22 + -7. Let g be (20/(-6))/((-8)/36). What is the highest common factor of g and y?
15
Let h(p) = 25*p - 1. Let z be h(1). What is the greatest common factor of 144 and z?
24
Let i = -3 + 1. Let f be i/(-12) + (-858)/(-36). Let p = -31 + 67. What is the greatest common divisor of p and f?
12
Let n be 2*(4 + -3) - -42. What is the greatest common factor of 11 and n?
11
Let c(i) = 84*i**2 + 1. Let h be c(-1). Calculate the highest common divisor of h and 17.
17
Let b = 41 - -85. Calculate the greatest common factor of b and 14.
14
Let f be (-18)/(-81) - (-86)/18. Suppose -a = -6*a - 3*c + 61, f*a = -5*c + 65. Calculate the greatest common divisor of 55 and a.
11
Let f(j) = 2*j + 1. Let k be f(2). Suppose -k = -4*z + 3. Suppose 0 = l + z*v - 14, -5*l + 88 = -0*v + 4*v. Calculate the highest common divisor of 30 and l.
10
Suppose -3*x - 8 = -x, 5*o + 5*x = 0. Suppose o*p - 312 = -72. Calculate the highest common divisor of p and 24.
12
Suppose -3*f = -73 - 14. Let w be 1*-1 - (3 + f). Let s be (-501)/w + (-2)/11. Calculate the greatest common factor of s and 165.
15
Let l be 1/(1*(-1)/(-25)). What is the greatest common divisor of l and 225?
25
Let q be 2 + 0 - (-1 - 0). Suppose 5*p + 3*t - 2*t = 11, 4*p - 5*t = 32. Calculate the highest common factor of p and q.
3
Let s(h) = -11*h + 68. Let a be s(5). Let f be (-47)/7 + 4/(-14). Let w = a + f. What is the greatest common factor of 66 and w?
6
Let a(s) = -6*s + 6. Let t be a(-7). What is the greatest common factor of 12 and t?
12
Let v(l) = 11*l - 2. Let a be v(4). Let k be (8/(-6))/(2/(-21)). Calculate the highest common factor of a and k.
14
Let d(f) = -2*f**2 + 3*f - 3. Let a be d(3). Let z(j) = -7*j - 18. Let c be z(a). Calculate the highest common factor of c and 6.
6
Let g(h) = h - 14. Let p be g(12). Let t = p + 27. What is the greatest common factor of 5 and t?
5
Let d(k) = -19*k + 1. Let x be d(-1). Let p(r) = -r**2 - 8*r - 9. Let j be p(-7). Let h be 122/4 - (-1)/j. Calculate the highest common factor of x and h.
10
Let p be -1 - (-3)/(9/120). Let z be ((-2)/(-1))/(-1) + 89. Suppose 3*d = -3*w + d + 72, -3*d = -3*w + z. What is the highest common factor of w and p?
13
Let n(a) = a**3 - 5*a**2 - 5*a - 7. Let y be 52/8 + 2/(-4). Let d be n(y). Let v be 46/4 - d/2. Calculate the greatest common factor of v and 18.
6
Let d(l) = l**2 + 4*l + 3. Let v be d(-6). Suppose 5*y = -0*y + v. Calculate the greatest common factor of 33 and y.
3
Let y be ((-117)/(-6) - -4)*18. What is the greatest common divisor of 47 and y?
47
Let h(q) = -4*q**3 - 2*q**2 - q. Let i be h(-1). Let p = 90 - 57. What is the highest common factor of i and p?
3
Let q = -9 + 12. Calculate the greatest common factor of 6 and q.
3
Suppose -6*i + i = -20. What is the highest common divisor of i and 16?
4
Suppose 0 = -p - p + 6. Suppose -i = -1 - p. Suppose 0 = -i*m + y + 263, -2*y - 266 = m - 5*m. Calculate the greatest common divisor of m and 13.
13
Suppose 3*g + 2*g - 599 = -3*z, -2*g = -3*z + 613. Calculate the greatest common divisor of z and 29.
29
Let k(u) = 2*u - 6. Let h be k(-5). Let r be h/56 - 88/(-14). What is the highest common factor of r and 3?
3
Suppose -16 = -2*n - 2*n. Let v = 1 - -3. Let k = 24 - v. Calculate the greatest common divisor of k and n.
4
Let a(c) = 15*c**2 - c - 1. Let h be a(-1). Suppose r + 57 = 162. Calculate the highest common factor of r and h.
15
Let a = -10 + 17. Suppose -2*v - 5 = -a*v. Let n(k) = 2*k - 3. Let f be n(2). What is the greatest common factor of v and f?
1
Let r = 59 - 4. Let g be 12 - 6 - (-1)/(-1). Calculate the highest common divisor of g and r.
5
Suppose -5*u - 3*a = -388, a + 2*a - 3 = 0. Calculate the greatest common divisor of 7 and u.
7
Suppose -3*a + 30 = 2*a. Let i = 268 + -175. Suppose r = 5*o + 13, -6*o + i = 5*r - 3*o. Calculate the greatest common divisor of r and a.
6
Let p = -40 - -72. Calculate the greatest common divisor of p and 8.
8
Let b = -9 + 15. Let y = 2 - 2. Suppose -4*d + 5*t + 182 = 0, -10 = -y*t - 5*t. Calculate the highest common divisor of b and d.
6
Suppose -3*x - 2*x = -10. Let t be 99/(-45) + (-2)/(-10). Let u be 13/2 + 3/t. What is the highest common divisor of u and x?
1
Let s(h) = -12*h - 6. Let k be s(-6). What is the greatest common divisor of k and 44?
22
Let o = 159 - 42. Suppose -o = -6*v + 3*v. Calculate the highest common divisor of v and 13.
13
Let m = 5 + -1. Let d be (4/(-3))/(m/(-66)). Let f = 6 + -4. Calculate the greatest common divisor of f and d.
2
Suppose 4 = 2*v - 0. Suppose -m = -v*m + 3. What is the greatest common factor of 27 and m?
3
Let p(n) = -n**2 - 4*n - 6. Let a be p(-4). Let f be a/(-21) - 162/(-21). Suppose 0 = -y - y + 4, 3*y = -h + 38. What is the greatest common divisor of h and f?
8
Suppose 7*i = 72 + 320. Calculate the highest common factor of i and 84.
28
Suppose o - 4*v = -1, -4*v + v + 3 = 0. What is the highest common divisor of 48 and o?
3
Let c be (-44)/5*(-11 - -1). What is the greatest common divisor of c and 8?
8
Suppose 375 = 19*f - 4*f. What is the greatest common divisor of 200 and f?
25
Suppose -3*s = -8*s + 70. What is the greatest common factor of 154 and s?
14
Let x = -144 + 180. Let p = 5 - 1. Calculate the greatest common factor of x and p.
4
Let j = 42 + -31. What is the highest common divisor of j and 55?
11
Suppose 3*i = -5*n + 152, 0 = 4*i - 6 - 10. Let f(h) = h**2 - 5*h + 4. Let j be f(5). What is the highes | {
"pile_set_name": "DM Mathematics"
} |
t t = 31 + -21. Suppose u - 25 + t = 0. Solve -5*g = -0*g + u for g.
-3
Let d be (-3)/(-2*(-9)/(-12)). Solve -h = d*h for h.
0
Let j(o) = o - 13. Let h be j(13). Solve -3*r + 9 + 0 = h for r.
3
Suppose 60 = a + 2*a. Solve 3*h - a = -5 for h.
5
Let x = -4 + 7. Let a(j) = -1 + 3 + 7*j**2 - 4*j**3 + x*j**3 + 8*j. Let w be a(8). Solve w = -4*k + 3*k for k.
-2
Let b(z) = -z**2 + 10*z - 12. Let n = -4 - -12. Let h be b(n). Solve -2 = -2*j - h for j.
-1
Suppose -64 + 4 = -4*s. Solve -5*q - 5 = s for q.
-4
Let u(f) be the second derivative of -f**3/6 + 7*f**2/2 - 4*f. Let d be u(3). Solve -d = x - 0*x for x.
-4
Let z be 0 + (-1)/(0 - -1). Let u be (3 + z)*-1 - -10. Solve -3*g + 20 = -u*g for g.
-4
Let y(h) = 4*h + 44. Let s be y(-10). Solve g - 5*g = s for g.
-1
Let z be (2 - -2) + (-2 - -1). Let h(u) = -u**3 + 6*u**2 - 3*u - 5. Let b be 22/4 - (-5)/(-10). Let q be h(b). Solve 0 = z*r - q - 7 for r.
4
Let a be 0 - -3 - 6/(-2). Suppose 0 = 5*m + 6 - 16. Solve -m*i = -5*i + a for i.
2
Let w(u) = u**2 - 3*u - 1. Let a be w(3). Let c(t) = -t. Let j(l) = -4*l + 16. Let k(v) = a*j(v) + 6*c(v). Let m be k(-12). Solve i = -i - m for i.
-4
Suppose -5 = -2*b - 1. Suppose c + k - 3*k = 0, -4 = -c - b*k. Solve n = c*n - 2 for n.
2
Suppose -5 + 15 = -5*t - 2*k, -4*t = 3*k + 15. Suppose 0 = 2*f + 2*d + 2, -2*f - f + 5*d = -21. Let l be (t/4)/(f*-1). Solve l = 4*u + u for u.
0
Let k(c) = 2*c**2 - 17*c - 6. Let o be k(9). Solve -o*v = -6*v for v.
0
Let y(r) = -r**2 - 8*r + 9. Let o be y(-9). Let k(g) = -g + 4. Let p be k(o). Suppose -44 = -4*q + 4*v, -45 = -4*q + v + p*v. Solve l - q = -l for l.
5
Let m be 3/(-6) + (-21)/(-2). Let o = m + -5. Solve 7*x - o*x = 8 for x.
4
Let r = 6 - 2. Suppose 8*c + n - 34 = 3*c, 2*c - r*n - 18 = 0. Solve 2 = 3*v - c for v.
3
Let r(h) = -h**2 - 17*h + 16. Let q be r(-17). Solve -6*a = -2*a - q for a.
4
Suppose 2*w = -0*w - 5*q + 37, -4*w + 4*q = -4. Let p = 0 - -2. Suppose p*l - w*l = 0. Solve l*t = 4*t - 12 for t.
3
Suppose -4*h - u = -107, -2*h = -3*h - 5*u + 3. Solve 4*g = -8 + h for g.
5
Let d(i) = 2*i**2 + 1. Let p be d(1). Let x = 2 + p. Solve 6 = -x*s - 4 for s.
-2
Let p = -1 - -4. Suppose -2*d + p*i - 2 = 5*i, 0 = -i - 1. Suppose -2*r = -5*k + 14, -3*r + 7 = -2*k + 2*r. Solve t - k*t + 9 = d for t.
3
Let q = -10 - -8. Let i(k) = 0*k + 3*k - 2*k + 2. Let o be i(q). Solve -3*p + o*p + 15 = 0 for p.
5
Let a(f) = f**3 - 2*f**2 + 4*f - 3. Let i be a(2). Let c = -2 + 4. Suppose -c*q - q = 0. Solve q = i*m - 1 - 24 for m.
5
Suppose -5*c = -10*c + 40. Let f be (-69)/(-21) - 4/14. Suppose f*s - c = l, -2*l - 7 = -2*s + 1. Solve -2 - 6 = -s*g for g.
4
Let r = -5 + 8. Suppose -2*t - r*t = -25. Solve -4*l = l + t for l.
-1
Let o(i) = 0*i**2 - 3*i**2 + 5*i + 2*i**2 + 1 - 5. Let y be o(4). Solve 5*z - z = y for z.
0
Suppose -x + 13 = 3*k - 28, -5*x + 3*k = -223. Suppose -5*u - 9 + x = 0. Solve -2*w + u = -1 for w.
4
Let b be ((-6)/2)/(-2 + 1). Let i(o) = 2*o**2 - 4*o + 4. Let p be i(b). Let m = p - 6. Solve 0*y = y - m for y.
4
Let n(p) = -p**2 - 8*p + 10. Let i be n(-9). Solve -3 = o - i for o.
-2
Suppose 5*k - 4*f = k - 4, k = -2*f + 8. Suppose 3*z = 3 - 0. Solve k + z = -t for t.
-3
Let o = -31 + 15. Let m = -11 - o. Let i(r) = -r**3 + 4*r**2 - 2. Let n be i(3). Solve 13 = m*l - n for l.
4
Suppose 4*a - 17 = -3*k, 2*a - 18 + 2 = -4*k. Let c(p) = p**2 + 4*p - 6. Let f(x) = -x**2 - 7. Let y be f(0). Let v be c(y). Solve -a*q - v = q for q.
-5
Suppose -16 = -4*r - 0. Suppose -r*p = -0*p - 12. Suppose -7*n = -p*n. Solve n = 2*c + 4 for c.
-2
Let d(h) = h**3 - h**2 - 3*h - 4. Let y be d(3). Suppose 2*m - 4*k - 14 = m, k = -2*m - 17. Let u be (0 + -1)*1 - m. Solve -4*z = -y*z + u for z.
5
Let n be 4/30 - (-2368)/240. Solve -2*q = -0 - n for q.
5
Let y(h) = h**2 + 7*h + 7. Let m(n) = -n. Let a(l) = -4*l + 4. Let d(x) = a(x) - 2*m(x). Let f be d(5). Let u be y(f). Solve -t = -0*t + u for t.
-1
Let f be 1/12*-10*-6. Solve -f*q + 0 = 20 for q.
-4
Let i(r) = 5*r - 2*r - 3*r + r**2 + 1. Let x be i(0). Solve -x = -2*f + f for f.
1
Let m be (-1)/(2/(-6) + 0). Let g(y) = y**2 - 15. Let x be g(-7). Suppose -2*l - 13 = -v, -m*v = l - 6*l - x. Solve v*s - 13 = -1 for s.
4
Let f(i) = i**3 + 6*i**2 + 2*i + 7. Let a be f(-6). Let s be (1 + 1/(-2))*18. Let c = a + s. Solve c*w - 7*w = 15 for w.
-5
Suppose 0 = 3*f - f - 6, 4*w - 5*f = 5. Let j = w - 0. Solve j*b + 4 = -11 for b.
-3
Suppose 0 = -0*v + 2*v - o - 8, 0 = -3*v - 2*o + 19. Suppose 4*l - 5*k - 15 = 0, 2*k = v*l + 4 - 10. Solve l = w + w - 10 for w.
5
Let u be 25/6 + (-5)/30. Let m = -1 + u. Solve m*c + 12 + 0 = 0 for c.
-4
Suppose -5*t = 5, 0 = 4*g + t - 2*t - 57. Suppose i = 3*i - g. Let d be (-18)/(-4) + (-4 - 20/(-8)). Solve -d - i = -5*n for n.
2
Let r = -23 - -24. Solve -3*x - r + 4 = 0 for x.
1
Suppose 2*m = 31 - 7. Let d = -11 + m. Solve -7 = 3*u - d for u.
-2
Suppose u + 4*s - 23 = -s, 0 = -s + 3. Let n = 17 + -13. Solve 0 = -0*z - n*z + u for z.
2
Suppose 4*d + 5 = -3*y, 35 = 3*y - y - 5*d. Solve -y*o + o = -4 for o.
1
Let z be (27/18)/((-6)/(-8)). Solve -z*p - 3*p = 10 for p.
-2
Let i = 11 - 5. Suppose i*w - 60 = 2*w. Solve -10 - w = 5*h for h.
-5
Let i(n) = -11*n**2 - 16*n - 33. Let b(g) = 7*g**2 + 11*g + 22. Let f(y) = 8*b(y) + 5*i(y). Let r be f(-7). Solve -2*a = -r*a - 2 for a.
-1
Let g be (-3)/(0 - -3)*-1. Let c be (-13)/(-4) - 6/24. Let h be -2 - (-3)/(3/c). Solve -2*l + g = -h for l.
1
Suppose 2*t = t. Suppose -4*b - 36 = -5*q - 2*b, -5*q + 32 = -4*b. Suppose -m + 3*m - q = t. Solve -m*s = -8*s + 8 for s.
2
Let d = -9 - -15. Let z be d*(-2)/4 + 1. Let s be (-30)/12*z/1. Solve s*i + 7 = -13 for i.
-4
Let a = 13 - 24. Let n = a - -16. Solve 40 - 15 = -n*b for b.
-5
Let n = -3 + 8. Solve 0*b - 5 = n*b for b.
-1
Let j = -15 + 15. Solve -t + j*t = 1 for t.
-1
Suppose 0 = -3*q + 3*f, 0 - 2 = -2*f. Solve 4*r + q + 7 = 0 for r.
-2
Let q(g) = g**3 - 8*g**2 - 9*g + 2. Let j be q(9). Solve -x = x - j for x.
1
Let q(c) = -c**3 - 8*c**2 - 8*c - 7. Let t be q(-7). Solve 4*y + 7 + 1 = t for y.
-2
Suppose 0 = -k + 4 + 1. Solve -2 = -l - k for l.
-3
Suppose -8*j + 3*j - 34 = -3*r, 2*r + 5*j + 19 = 0. Solve -r*n - 3 = 3 for n.
-2
Suppose 3*g = -2 + 8. Let u = g + 0. Suppose 2*f = 9 - 1. Solve -f - 2 = -u*i for i.
3
Let l(w) = -2*w + 27. Let x be l(11). Solve x*p - 3*p = 0 for p.
0
Let n be 6/4*(-32)/(-6). Let y(z) = z**2 - 6*z + 4. Let l be y(n). Solve 0 = 2*k - 6*k + l for k.
5
Let v(h) = -h**2 - 4*h + 7. Let f be v(-5). Solve -2 = f*c - 0*c for c.
-1
Let s = 3 - 1. Suppose -2*i + s = q, -2*q = 2*q + 2*i - 2. Solve -5*h + 5 + q = 0 for h.
1
Let k(t) = -4 - t - 5*t**2 + 6*t**2 - 2*t. Let n be k(4). Suppose 2*a + 2*d - 12 = n, a + 3*d - d = 6. Solve -2*o = -a - 2 for o.
4
Suppose 5*v + 0*l + 2*l - 4 = 0, 2*l - 4 = -3*v. Solve n - 4*n + 15 = v for n.
5
Suppose h + 0*d = 5*d + 7, 5*d = -2*h - 1. Solve 0 = h*k - 3*k + 5 for k.
5
Suppose 6 = -3*s, 3*j + 2*s = -s + 6. Solve -j*c = -3*c + 2 for c.
-2
Let u = -39 + 16. Let p = 32 + u. Let k = 9 - p. Solve i + i = k for i.
0
Suppose 4*h - 2 = 5*z - 10*z, -z - h = 0. Solve 2*a + z - 6 = 0 for a.
2
Let a = -1 + 5. Let b = 5 - 2. Solve 11 = -a*l + b for l.
-2
Let h = 20 + -8. Let i be 33/h - (-1)/4. Solve 15 + 0 = -i*m for m.
-5
Let i = 16 + -9. Suppose 2*r - 11 = -3*h, -2*h + i = 4*r - 11. Let l be 7*(-1 + (-3)/(-1)). Solve 0 = 5*k + l + h for k.
-3
Let v = -5 + 11. Solve -2*c - v = -0*c for c.
-3
Suppose 9 = -5*z + 39. Solve -z*h + 25 = -h for h.
5
Suppose -15 = -3*n - 2*f, 5*n + f - 35 + 10 = 0. Solve n*v - 14 + 29 = 0 for v.
-3
Let l be -2*((-12)/3)/8. Solve 21 = -5*p + l for p.
-4
Let i(a) = -6*a + 13. Let c(n) = -7*n + 12. Let h(o) = -5*c(o) + 6*i(o). Let b be h(13). Solve -b*r + 4*r = 0 for r.
0
Let o = -5 + 5. Let b(t) = -t**2 - 5*t + 5*t + t**3 + 11. Let s be b(o). Solve 4*i - s = 9 for i.
5
Let n be (-12)/42 + 2/7. Solve -h + n*h = -1 for h.
1
Let r(f) be the third derivative of -f**4/8 + f**3/3 + 2*f**2. Let p be r(-5). Solve -2*d = -7 + p for d.
-5
Let k = -18 + 37. Suppose 9*j - 4*j - k = -3*w, -4*j = -3*w + 1. Solve j*q - 4 = -0 for q.
2
Let l = -3 - 0. Let z = l + 6. Solve j + 12 = -z*j for j.
-3
Let g be 2/(6/3) + 1. Suppose 0 = -g*m + m. Solve 4*v - 4 = -m for v.
1
Let a = -8 + 5. Let n be 0/a*2/(-4). Suppose -3*b = b. Solve -3*q + b*q + 12 | {
"pile_set_name": "DM Mathematics"
} |
e third derivative of -h**5/20 - h**2. What is c(s(m))?
6*m**2
Let u(x) be the first derivative of 2*x**2 + 1. Let p(g) = -g**3 - 3*g**2 - 2*g - 4. Let l be p(-3). Let k(z) = 4*z**l - z**2 - 4*z**2. Calculate u(k(n)).
-4*n**2
Let z(f) = -21*f. Let k(c) = -3*c. Give z(k(b)).
63*b
Let b(d) = 6*d**2. Let s(t) be the third derivative of t**5/30 - 7*t**2. Give b(s(x)).
24*x**4
Let c(m) = -5*m - 1. Let h(f) = -6*f. What is c(h(a))?
30*a - 1
Let s(w) = -4*w + 36. Let i(k) = -k**2. Give i(s(h)).
-16*h**2 + 288*h - 1296
Let l(o) = o**2. Let w(h) = 10 - 10 + 16*h**2. Give w(l(j)).
16*j**4
Let i(m) be the third derivative of m**5/20 + 7*m**2. Let r(g) = -g + 1. Let p(x) = -5*x + 6. Suppose -3 + 2 = n. Let z(t) = n*p(t) + 6*r(t). What is i(z(k))?
3*k**2
Let h(a) = 4*a. Let c(o) be the first derivative of o**2/2 + 8*o - 1. Let q be c(-6). Let u(l) = 0*l**2 - 2*l**2 + 4*l**q. Give u(h(n)).
32*n**2
Let b(p) be the third derivative of -7*p**6/720 - p**4/8 + 4*p**2. Let g(i) be the second derivative of b(i). Let z(d) = 2*d**2. Determine g(z(v)).
-14*v**2
Let u(d) = 6*d**2. Let l(w) be the first derivative of -w**3 + 1. What is l(u(p))?
-108*p**4
Let h(d) = -5*d. Let v(j) = 36*j. Let f(c) = 15*h(c) + 2*v(c). Let p(m) = m**2 - m**2 + 3*m**2 - 2*m**2. Calculate f(p(q)).
-3*q**2
Let i(s) = -s**2. Let g(m) = -m - 904. Calculate i(g(v)).
-v**2 - 1808*v - 817216
Let y(r) = 2*r. Let v(j) = 3*j + 74. Give y(v(s)).
6*s + 148
Suppose 3*s + 4*f - 35 = -0*s, 0 = 4*s + 3*f - 35. Let g = -2 + s. Let x(u) = 2*u**2 - 4*u + g*u + u. Let p(v) = -3*v**2. Calculate x(p(a)).
18*a**4
Let w(a) = a**2. Let t(k) = 15*k - 18. Determine t(w(n)).
15*n**2 - 18
Let d(m) = -3*m. Let t(r) = 313*r. Determine d(t(g)).
-939*g
Let p(z) = z. Let x(s) = -722 + 722 + 4*s. Give x(p(f)).
4*f
Suppose 2 = -c + 2*c, 4*c - 24 = -4*f. Suppose 21 = f*h - 4*q + 5*q, -16 = h - 4*q. Let u(z) = h - 2*z - 4. Let s(v) = 3*v**2. What is u(s(i))?
-6*i**2
Let g(m) be the second derivative of m**3/3 + m - 11. Let v(t) = 6*t - 1. Give g(v(h)).
12*h - 2
Let t(b) = -9*b**2. Let w(g) = 2*g - 3. Let s(c) = 1. Let d(q) = -3*s(q) - w(q). Give t(d(m)).
-36*m**2
Let q(u) = -105*u. Let p(i) be the third derivative of i**5/60 + 15*i**2. Determine p(q(t)).
11025*t**2
Suppose -2 = -j - 5. Let q be j + 3 + -2 - -4. Let o(d) = 0*d**2 - d**q - d**2. Let n(m) = -2*m**2. Determine o(n(c)).
-8*c**4
Let l(z) = -2*z. Let m(n) be the first derivative of 9*n**2/2 + 6*n + 3. Let y(g) = 26*g + 17. Let j(o) = 17*m(o) - 6*y(o). Give l(j(v)).
6*v
Suppose 4*f = -4 - 0. Let w be ((-8)/20)/(f/5). Let d(h) = 3*h**2 + h**2 - 3*h**w. Let r(i) = -i. What is d(r(m))?
m**2
Let v(z) = -z + 3. Let l(m) = -3*m + 8. Let s(d) = 4*l(d) - 11*v(d). Let n(a) = -a - 2. Let o(i) = 2*n(i) - 4*s(i). Let r(g) = 7*g**2. Give o(r(x)).
14*x**2
Let b(h) = 31*h. Let c(i) = -33*i. Give c(b(y)).
-1023*y
Let y(i) = 31*i**2. Let o(b) = 6*b**2. Determine o(y(k)).
5766*k**4
Let x(y) = -y**2 + 6*y + 6. Let m(t) = -t - 1. Let r(b) = -6*m(b) - x(b). Let s(w) = -32*w. Calculate s(r(c)).
-32*c**2
Let n(u) = 7524*u**2. Let l(w) = -5*w**2. Determine n(l(k)).
188100*k**4
Let g(d) = -17*d. Let h(k) = k**2 + 3. Let f(u) = -2. Let a be 3*(-1)/(5 - 4). Let v(n) = a*f(n) - 2*h(n). Determine g(v(t)).
34*t**2
Let a(t) = -t**2 + 3. Let q(c) = c**2 - 2. Let y(z) = -z - 1. Let w be y(1). Let x(p) = w*a(p) - 3*q(p). Let u(k) = -k. Determine u(x(h)).
h**2
Let w(q) = -q**2. Let j(h) be the second derivative of 0 - 5/6*h**3 + 0*h**2 + 4*h. Determine w(j(y)).
-25*y**2
Let d(l) = -647*l. Let m(v) = 35*v. What is d(m(b))?
-22645*b
Let v(m) = -m + 6. Let o(z) = 2*z - 13. Let w(g) = -6*o(g) - 13*v(g). Let l(x) = 2*x**2. Determine w(l(r)).
2*r**2
Let r(a) = -25*a + 3. Let p(d) be the first derivative of 2*d**3/3 - 20. Give r(p(x)).
-50*x**2 + 3
Let f(z) = 6*z - 9*z + 8*z + 9*z. Let x(n) = 2*n**2. Determine f(x(m)).
28*m**2
Let n(a) = -2*a**2. Let j = -9 - -12. Suppose 4*c = 10 + 2. Let k(q) = -j + c + 3*q. Calculate n(k(o)).
-18*o**2
Let a(n) = -3*n**2. Let j(p) be the second derivative of -p**3/3 - 6*p. Calculate j(a(z)).
6*z**2
Let j(t) = -4*t. Let o(l) = -3*l**2 - 5*l - 5. Let z(v) = -4*v**2 - 6*v - 6. Let g(n) = -6*o(n) + 5*z(n). Calculate j(g(u)).
8*u**2
Let f(u) = -21*u. Let m(w) = 31*w**2 + 2*w - 2*w - 29*w**2. Calculate f(m(i)).
-42*i**2
Let g(p) = -1820*p. Let d(l) = -2*l. Calculate d(g(u)).
3640*u
Let y(j) = 24*j. Let b(k) = -15*k**2. What is y(b(v))?
-360*v**2
Let v(o) be the third derivative of 2*o**2 - 1/6*o**4 + 0*o**3 + 0 + 0*o. Let p(n) be the second derivative of -n**3/6 + 2*n. Calculate v(p(g)).
4*g
Let t(q) = 5*q**2 - 3*q**2 - 4*q**2. Let s(v) be the second derivative of -v**4/24 + 3*v**2 - 2*v. Let y(l) be the first derivative of s(l). Calculate y(t(z)).
2*z**2
Let z(t) = -7*t. Suppose 0 = -h + 3*m + 14, 4*h + 1 + 7 = -4*m. Let q(v) = -13*v + 13*v - h*v**2. Determine q(z(n)).
-98*n**2
Let s(t) be the third derivative of -7*t**4/6 + 41*t**2. Let a(i) = -3*i**2. Give s(a(x)).
84*x**2
Let i(l) = -3*l**2 - 1. Let j(m) = 6*m**2. Determine i(j(n)).
-108*n**4 - 1
Suppose -3*f + 45 = 2*f. Let d(h) = -9 - 15*h - 4 + 13. Let b(r) = -8*r. Let g(c) = f*b(c) - 5*d(c). Let z(w) = w. What is z(g(u))?
3*u
Let w(z) = 1970*z**2. Let p(r) = -8*r**2. Calculate p(w(k)).
-31047200*k**4
Let l(v) = 25*v. Let m(k) = -60*k. Determine l(m(f)).
-1500*f
Let g(i) = -1. Let o(p) = -6*p**2 + 15. Let n(m) = 15*g(m) + o(m). Let u(j) = 9*j**2. Determine u(n(s)).
324*s**4
Let d(c) = 8*c**2. Let g(n) = -5*n**2 + 9*n + 9. Let v(b) = b**2 - 2*b - 2. Let s(u) = 4*g(u) + 18*v(u). Give s(d(q)).
-128*q**4
Let h(t) be the first derivative of -2*t**3/3 + 12. Let r(c) = 23*c. Give r(h(y)).
-46*y**2
Let i(y) = 3*y**2 + 4. Let m(s) = -s**2 - 1. Let t(p) = -i(p) - 4*m(p). Let r(g) = 41*g. Give r(t(v)).
41*v**2
Let l(h) = h. Let z(d) = -1. Let q(o) = -6. Let a(i) = 3*q(i) - 15*z(i). Let b = 18 - 14. Let k(f) = -f**2 + 4. Let u(t) = b*a(t) + 3*k(t). Give u(l(p)).
-3*p**2
Let q(j) = -12*j**2. Let d(h) = 2*h - 17. Determine q(d(g)).
-48*g**2 + 816*g - 3468
Let t(j) = 25*j**2. Let h(u) = 5*u. Determine t(h(x)).
625*x**2
Let z(j) be the first derivative of 2*j**3/3 + 1. Let a(s) be the second derivative of -1/4*s**4 + 0*s**3 + 4*s + 0*s**2 + 0. Give z(a(y)).
18*y**4
Let v(s) = -24*s**2 + 2. Let x(u) = 8*u**2 - 3. Give x(v(q)).
4608*q**4 - 768*q**2 + 29
Let c(k) = k. Let a(u) = 1234*u. Give a(c(s)).
1234*s
Let v(b) = -4*b**2 + b**2 - 4*b**2. Let p(t) be the second derivative of t**3/6 + 21*t. What is v(p(o))?
-7*o**2
Let l(z) = 5*z**2. Let b = 38 + -36. Let a(v) be the first derivative of b + 0*v**2 + 0*v - 1/3*v**3. Calculate l(a(q)).
5*q**4
Let q be 8/3*(-9)/(-6). Suppose -4*y - y + q*j + 4 = 0, 4*j = 3*y + 4. Let s(v) = 2*v**2 + y*v**2 + 2*v**2 - 5*v**2. Let c(p) = -3*p. Give s(c(w)).
27*w**2
Let c(t) = t**2. Let m(k) = -208 + 208 + 9*k. What is c(m(q))?
81*q**2
Let x(u) = 4*u**2. Suppose -2*c - c + 4*z + 6 = 0, 4*c = 5*z + 8. Let f(a) = a**2 + a**c - 2*a**2 - a**2. Calculate f(x(l)).
-16*l**4
Let a(g) = -5*g. Let n be a(-1). Let s(b) = 5 + 5*b - n + 0*b. Let r(h) = -h. Calculate r(s(p)).
-5*p
Let k(q) be the second derivative of q**3/2 + 25*q. Let t(x) = -12*x**2. What is t(k(n))?
-108*n**2
Let h(c) = -2*c. Let n(i) = -530*i. Calculate h(n(d)).
1060*d
Let h(n) = -n - 17. Let a(z) = 10*z**2 + z. What is h(a(r))?
-10*r**2 - r - 17
Let o(x) = x**2. Let q(n) be the first derivative of 2*n**2 + n**2 - 10 + 0. What is o(q(p))?
36*p**2
Let n(a) = -a. Let v(f) = 7*f + 5*f - 3*f - 2*f. Give n(v(d)).
-7*d
Let x(i) = i. Let c(z) = -z + 5. Suppose -3*p = -4*s - 27, 2*s + 0*s + 26 = 4*p. Let b(h) = h - 4. Let j(f) = p*b(f) + 4*c(f). Determine x(j(d)).
d
Let j(m) = -2*m. Let a(d) = -14*d**2 + 24*d**2 - 15*d**2. Calculate a(j(n)).
-20*n**2
Let c(p) be the third derivative of 3*p**2 + 0 + 0*p**3 - 1/24*p**4 + 0*p. Let d(g) = g**2. Calculate c(d(n)).
-n**2
Let n(r) = -2*r**2 - 5*r. Let f(g) = g**2 + 3*g. Let k(j) = 5*f(j) + 3*n(j). Let p(q) be the first derivative of -5*q**2/2 - 4. Give p(k(s)).
5*s**2
Let c(h) be the second derivative of -h**4/6 - 3*h. Let m(g) = 2*g**2. Give m(c(f)).
8*f**4
Let q(o) = -5*o - 2. Let d(p) = -119*p - 49. Let t(f) = -2*d(f) + 49*q(f). Let l(v) = -12 + 2*v**2 + 0*v**2 + 10 + 2. Give t(l(n)).
-14*n**2
Let s(f) be the t | {
"pile_set_name": "DM Mathematics"
} |
2*g + 6 = 3*g. Suppose 2*k + k + i = -19, 2*k - i + g = 0. Let y = -3 - k. Give d(y).
4
Suppose v + 2*v = 15. Let c(j) = 2*j - 3. Determine c(v).
7
Let w(s) = 3*s - 2*s + 2*s - s + 6. Calculate w(5).
16
Let c be 4/(-3)*(-3)/2. Let z(g) = -5*g - 3 + g**c - 2*g**2 - 2. What is z(-4)?
-1
Let m(k) = 4*k + k - k - 3*k + 4. What is m(-5)?
-1
Let x(j) be the third derivative of -j**9/30240 - j**5/12 - j**2. Let l(r) be the third derivative of x(r). Calculate l(1).
-2
Let m(x) be the third derivative of -x**6/120 + x**4/24 - x**3/3 - 29*x**2. Suppose o + 3*o = 0. What is m(o)?
-2
Let b(g) = -g**3 + 7*g**2 - 4*g - 6. Let h be b(6). Let l(y) = -h*y**2 - 3*y + 3 - 5*y + 5*y**2 + 4*y. Give l(-5).
-2
Let y(l) be the second derivative of -l**4/6 - l**3 - 2*l**2 + 2*l. Suppose 3*p = -p - 16. Calculate y(p).
-12
Let y(t) be the first derivative of t**4/4 + 4*t**3/3 + t**2 - t - 28. Suppose -3*q = -6*q - 12. Calculate y(q).
-9
Let o(f) = 7*f**3 - 3*f**2 + 4*f - 3. Let c(d) = -11*d**3 + 4*d**2 - 6*d + 4. Let x(p) = p**2 + 2*p - 7. Let a be x(-5). Let n(y) = a*o(y) + 5*c(y). Give n(4).
4
Let z(x) = x**2 - 7*x + 6. Let a(v) = v**2 - 2*v - 1. Let q be a(4). Let w = q - 3. What is z(w)?
-6
Let f(a) = a + 5. Let k(v) = v - 14. Let y(w) = w**3 + 6*w**2 + 6*w + 2. Let l(n) = n**2 + 6*n + 4. Let m be l(-4). Let h be y(m). Let g be k(h). Give f(g).
1
Let g(d) be the second derivative of d**5/5 + 37*d. What is g(-1)?
-4
Suppose -4*g - 4*k = 5 - 49, 3*g - 4*k + 2 = 0. Let i(u) = 3*u + 7. Let d(a) = 10*a + 22. Let l(v) = -2*d(v) + 7*i(v). Give l(g).
11
Let k(u) = -3*u**2 - 2*u. Let s(w) be the third derivative of -w**5/30 - w**4/24 - 3*w**2. Let q(z) = -3*k(z) + 5*s(z). What is q(3)?
-6
Let g be (-6)/4*4/3. Let z(b) be the third derivative of 1/3*b**3 + 2*b**2 - 1/30*b**5 + 0 + 0*b**4 + 0*b. Calculate z(g).
-6
Let s = -1 + 3. Let g(t) = -t + 1. Let c(u) = -u + 2. Let k(q) = -c(q) + 5*g(q). Calculate k(s).
-5
Let k(v) = v**2 - 5*v - 10. Let d be k(7). Suppose 0 = d*i - i + 12. Let m(f) = -2*f. Calculate m(i).
8
Let n(q) be the second derivative of -q**7/840 - q**6/72 + q**5/20 - q**4/6 - 4*q**3/3 + 4*q. Let w(r) be the second derivative of n(r). Calculate w(-6).
-4
Let q(l) = -l**3 + 4*l**2 + 2*l - 1. Suppose 3*b - 10 = 2*j - j, 2*j + 4 = -2*b. Determine q(b).
11
Let w = 2 - 0. Let f be w - 5/((-15)/6). Suppose -2*o = -f - 4. Let a(s) = s**3 - 4*s**2 - s - 2. Calculate a(o).
-6
Let i = 15 - 10. Let j = 0 + i. Let l(y) = -y**2 + 6*y. Determine l(j).
5
Let u(o) = -o**2 - 3*o - 2. Let z = 168 + -171. Determine u(z).
-2
Suppose w + 15 = 6*w, 2*w - 9 = -3*x. Let g(y) = 10*y**2 + 1. Determine g(x).
11
Let i(r) be the second derivative of r**5/60 - r**4/8 - r**3/2 + r**2/2 - r. Let p(w) be the first derivative of i(w). Calculate p(-2).
7
Let i(g) = 5*g - 1. Let k(j) = -5*j + 1. Let r(n) = -5*i(n) - 4*k(n). Determine r(4).
-19
Let p(h) be the second derivative of -h**3/6 - h**2/2 + h. Suppose -3*r = 9 - 0. Let w be p(r). Let c(l) = l**2 + l - 2. Give c(w).
4
Suppose -2*y + 3*a + 21 + 13 = 0, -2*a + 36 = 4*y. Let w be 2/y + (-2)/11. Let t(h) = h**2 + h - 9. Give t(w).
-9
Let o be 0/(-1)*(-1 - 0). Let l(g) be the second derivative of -g**4/12 + g**3/6 - 3*g**2/2 - 69*g. Calculate l(o).
-3
Let f(n) = -n**3 - 7*n**2 - 8*n - 5. Let o be -6*(-3)/(-6) + 6. Suppose -c + 2 + o = 0. Suppose 3*z - c*i + 1 = -2, -21 = 2*z + 3*i. What is f(z)?
7
Let w(d) = d**2 - 8*d + 3. Let u be w(7). Let z(i) be the first derivative of -i**2 - 3*i - 9. Give z(u).
5
Let b = 14 - 18. Let c(j) = -j**2 - 7*j - 3. Calculate c(b).
9
Let r(g) = g**2 + 10*g - 11. Let k be r(-11). Suppose k*j - 20 = -5*j. Let w(v) = 2*v**2 - 6*v + 1. Give w(j).
9
Let g(x) = -x**2 + 0*x - 2*x + 2 + 5*x + 2*x. Give g(5).
2
Let o(q) = 11*q + 6. Let i(n) = 24*n + 13. Let j(s) = -6*i(s) + 13*o(s). Let k be (-4)/14 + (-47)/7. What is j(k)?
7
Suppose 15 = 5*u - k, -4*k - 12 - 14 = -3*u. Let d(w) = 2*w - 4*w**u - 2*w**2 + 0 + 8 + 0*w**2 - w**3. Calculate d(-6).
-4
Let v(l) be the first derivative of -5*l**2 + 2*l + 49. Determine v(2).
-18
Let q(t) = -4*t + 10*t - 1 + 2 - 2. Give q(-2).
-13
Let y(i) = -3*i - i**3 + 7*i + 5*i + 17*i**2 - 5 - 23*i**2. Determine y(-7).
-19
Let w(q) = q**2 - 3*q - 4. Let c be 1 + (-1 + -2)/(-1). Calculate w(c).
0
Let w(k) = -k**2 - 5*k - 2. Let t = 8 + -21. Let d = -10 - -18. Let c = d + t. Determine w(c).
-2
Let w(c) = -2*c. Let v(a) be the first derivative of 3*a**2/2 + a - 5. Let q(r) = 3*v(r) + 4*w(r). Calculate q(6).
9
Let m(i) be the second derivative of -7*i**3/6 - i**2/2 + i. Let u(a) = -6*a - 1. Let p(g) = -5*m(g) + 6*u(g). Calculate p(-5).
4
Let z(s) = -3 + s + 0 + s**3 - 3 + 0. What is z(0)?
-6
Let i(t) = -t**3 + 5*t**2 + 6. Suppose 5*s = -0*s + 155. Let z = s - 26. Give i(z).
6
Let q(j) = 4*j + 3. Let h(s) = 2 + 2*s + 3*s - 2*s. Let b(z) = -5*h(z) + 4*q(z). Calculate b(6).
8
Let x(a) = 2*a**2 - 2*a - 1. Let q(z) = 3*z**2 - z - 2. Let d be ((-6)/4)/((-5)/(-10)). Let l(o) = d*q(o) + 4*x(o). Determine l(-5).
2
Let m(b) be the second derivative of -b**3/6 - b**2/2 - 17*b. Let q(t) = -2 - 2 - 7*t - 6. Let a(v) = 6*m(v) - q(v). Determine a(-5).
-1
Let k(n) be the first derivative of 2*n**2 + n - 45. Determine k(-2).
-7
Let g(y) = y. Suppose 5*p - 4*p + d = 4, 5*p + 20 = 5*d. Suppose -5*r + 4*n + 20 = -p*r, -3*r = -2*n - 10. What is g(r)?
0
Let c = 42 + -42. Let q(x) = -x + 5. Give q(c).
5
Let k(v) be the first derivative of v**6/12 + v**5/60 - v**3/6 + 3*v**2/2 - 3. Let u(r) be the second derivative of k(r). Calculate u(-1).
-10
Let t(y) = -5*y**2 - 23*y + 20. Let o(r) = r**3 + 4*r**2 - 7*r - 7. Let s be o(-5). Let n(u) = 2*u**2 + 8*u - 7. Let v(w) = s*t(w) + 8*n(w). Determine v(4).
0
Let a(d) = d**3 + 4*d**2 + d + 2. Let i(j) = 11*j**2 + 1. Let c be i(1). Let k = -18 + c. Let g be (3/1)/(k/8). Determine a(g).
-2
Let g(h) = 7*h - 6. Let n(m) = 15*m - 13. Let s(w) = 13*g(w) - 6*n(w). Give s(1).
1
Let p(f) = -f**3 + 4*f**2 + 2*f - 1. Let h be p(4). Let s(j) = j**2 - 9*j + 7. Determine s(h).
-7
Suppose 2*q = -3*q - 15. Suppose 6*n + 16 = 10*n. Let s(g) = 0*g**2 + g**3 + 1 + 2*g**2 + 3*g**2 + n*g. What is s(q)?
7
Let v(m) = 6*m - 2 + 3*m - m - 6*m - m**2. Give v(2).
-2
Suppose -15 = 2*k + 1. Let r = k - -4. Let w(d) = -d + 1. Let t(u) = -8*u + 2. Let l(j) = t(j) - 6*w(j). Give l(r).
4
Let q(l) = -l + 7. Let n = -2 - -4. Let o be 1 + (n + -1 - -3). Give q(o).
2
Let m(j) = 3*j + 12. Let s = -176 + 167. Give m(s).
-15
Let c(a) be the first derivative of a**4/4 - 2*a**3/3 - 3*a**2/2 + 3*a - 65. Determine c(2).
-3
Let b = -12 + 6. Let j = b + 12. Let l be -1*-10*(-3)/j. Let n(t) = t**3 + 4*t**2 - 6*t + 1. Calculate n(l).
6
Let x(s) be the first derivative of 4*s**2 - 1. Suppose -5*h - 13 = -5*z + 12, 4*z = 5*h + 21. Determine x(h).
-8
Let t(w) = 2*w**2 - 1 + 3*w + 2*w**2 - w**3 + 0 - 6*w**2. Suppose -m = 4*x, -x - 2*m = 3*x. Suppose x = -s - 3. Determine t(s).
-1
Suppose 3*w - 2*g - 26 = 0, 0*w + 4*g - 4 = -w. Suppose -6*m + m + y - w = 0, 5*y + 6 = 2*m. Let c(h) = 2*h - 1. What is c(m)?
-5
Let a(q) = q**3 + 6*q**2 + 2*q + 2. Let n be a(-5). Suppose n*j = 12*j - 15. Let w(s) = s**3 + 3*s**2 + 3*s + 4. Determine w(j).
-5
Let p(j) = -2*j + 5*j**2 + 0*j - 4*j**2 + 7 + 9*j. Determine p(-5).
-3
Suppose -2*m - 4*v = 8, -2*m + 2*v = -6*m - 4. Let f(k) = -k - 3*k**2 + 4*k**2 - 2 + k**3 - 2*k**3. What is f(m)?
-2
Let g(m) = 4*m**2 - 4*m + 2. Let n be g(2). Let q be n*(13/5 + -2). Let x(b) = -2*b - 2*b - b - 1 + q*b. Give x(2).
1
Let k(w) = -5*w**2 - w + 1. Let x = 4 - 2. Suppose x*b - 5*g - 11 = 11, 3*b - 3*g - 15 = 0. Give k(b).
-5
Let w(i) = -i + 1. Let g(m) = m**3 + 6*m**2 - 4*m + 23. Let v be g(-7). Calculate w(v).
-1
Let c(j) = j + 8*j**2 - 2*j**3 + j**3 + 4 - 6*j**2. What is c(3)?
-2
Suppose 6*i = 3*i - 6, 3 = j + 2*i. Let c(h) = -4 + h**2 + 6*h - j*h - 4*h. Determine c(3).
-10
Suppose -3*i = -8*t + 3*t - 10, 0 = -2*i - 4*t - 8. Let f(w) = i*w - 6 - 3*w**2 + 1 - 4*w + 2*w**2. Suppose 0 = -3*p - 0*p - 15. Calculate f(p).
-10
Let f(b) = -b**3 - 3*b**2 + 3*b - 1. Let q be f(-4). Let s be 4/(-12) - (-19)/q. Let n(u) = -u**2 + 6*u - 5. What is n(s)?
-5
Let v(m) = -m**3 + 9*m**2 + 5*m - 10. Let o(s) = -3*s**3 + 26*s**2 + 14*s - 29. Let l(w) = -4*o(w) + 11*v(w). Give l(5).
1
Let t(i) = -4*i + 1. Let s be t(-1). Let x(o) | {
"pile_set_name": "DM Mathematics"
} |
of 17 - u*l + 7*l**3 - 17 wrt l.
42*l
Let k(n) be the first derivative of 9*n**2 - 1/2*n**4 + 0*n**3 - 29*n + 10. Find the first derivative of k(p) wrt p.
-6*p**2 + 18
Let q(m) be the second derivative of 3*m**7/70 - 13*m**3/6 + 5*m**2/2 + 26*m. Let i(j) be the first derivative of q(j). Differentiate i(f) wrt f.
36*f**3
Let x be (24/9)/(40/(-12) - -4). Suppose -2*w = w - 15. What is the second derivative of -w*a - 5*a + x*a + 6*a**5 wrt a?
120*a**3
What is the third derivative of -24*q - 322*q**2 - 4*q + 18*q**5 + 31*q**5 + 28*q wrt q?
2940*q**2
Let s(d) = d + 1. Suppose -3 = -x - 2. Let o(a) = -8*a + 5. Let g(p) = x*o(p) + s(p). Differentiate g(k) with respect to k.
-7
Let q(x) be the second derivative of -x**7/21 - 7*x**4 + 7*x**3/6 - 5*x - 14. What is the second derivative of q(n) wrt n?
-40*n**3 - 168
Let n(i) = -2*i**2 - 12*i - 5. Suppose 3*r = -23 + 8. Let c be n(r). What is the third derivative of -1 - c*j**2 - 5*j**4 + 1 + 0*j**2 wrt j?
-120*j
Let s(u) be the third derivative of u**8/336 - u**5/30 - 7*u**3/3 - 15*u**2 - 4*u. Find the third derivative of s(l) wrt l.
60*l**2
Let m = -40 + 42. What is the first derivative of m - 31*b - 1 + 48*b wrt b?
17
Let p(w) = -w**3 - 9*w**2 + 10*w - 5. Let q be p(-10). Let g be q/2*(-12)/15. What is the derivative of 5*s**g + 0 - 2 - s**2 + 3*s**2 wrt s?
14*s
Suppose 3*g - 3*n = 81, -11*g + 12*g + 2*n = 12. What is the first derivative of g + 4*r - 9*r - r wrt r?
-6
Let k(b) be the second derivative of b**7/21 + 3*b**5/4 + 41*b**4/12 - b**3/6 - 2*b - 15. What is the third derivative of k(t) wrt t?
120*t**2 + 90
Let j(d) = -205*d**3 - 42*d**2 - 14*d - 2. Let f(x) = -102*x**3 - 21*x**2 - 8*x - 1. Let m(t) = -7*f(t) + 4*j(t). Find the third derivative of m(g) wrt g.
-636
Let f(c) be the first derivative of 17*c**4/12 - 2*c**3/3 - 18*c + 15. Let y(l) be the first derivative of f(l). What is the second derivative of y(r) wrt r?
34
Let t(p) = -25*p - 31. Let w(l) = 12*l + 16. Let n be (-13)/3 - (-16)/(-24). Let f(h) = n*w(h) - 2*t(h). What is the derivative of f(x) wrt x?
-10
Let i(h) be the first derivative of 12*h**4 - 2*h**3/3 + 55*h**2 + 89. What is the second derivative of i(y) wrt y?
288*y - 4
Let o(j) be the second derivative of 0 - 14*j + 1/6*j**3 + 1/2*j**2. Differentiate o(q) wrt q.
1
Let o(t) be the third derivative of -3*t**6/40 + t**5/10 - 38*t**3/3 + 27*t**2. Differentiate o(w) wrt w.
-27*w**2 + 12*w
Let s(a) = 2*a + 6*a**2 + 6*a**2 + 2 + 19 + 10*a**2. Let q(j) = -22*j**2 - 3*j - 22. Let u(m) = 2*q(m) + 3*s(m). Differentiate u(w) wrt w.
44*w
Let s be (-21)/3*(-12)/14. Let x be 7 + (-1)/(-6 - -5). Find the third derivative of -17*d**s + 7*d**6 + d**6 + x*d**2 + 10*d**6 wrt d.
120*d**3
Let a be (-1 + 3/9)*9. Let l be a/8 - (-286)/8. What is the second derivative of -5*r - 11*r**3 - 35 + l wrt r?
-66*r
Let m(w) = 5*w - 7. Let u(o) = -4*o + 7. Let q(p) = 3*m(p) + 4*u(p). Let x be q(4). Find the second derivative of -7*s + 0*s**2 - 4*s - 3*s**2 + x*s wrt s.
-6
Let v(w) be the first derivative of -w**6/18 - w**4/12 + 19*w**3/3 - 2. Let i(m) be the third derivative of v(m). Differentiate i(f) with respect to f.
-40*f
Let j(r) be the second derivative of 0*r**4 + 0*r**2 + 0 - 8*r + 3/20*r**5 - 11/6*r**3. What is the second derivative of j(g) wrt g?
18*g
Let t(v) = v**2 - 19*v - 18. Let q be t(20). What is the second derivative of -4*g - 225*g**2 + 225*g**q + 13*g**4 wrt g?
156*g**2
Let d be (-6)/4 + (-54)/(-12). Let b be d/(3 - 4 - -2). Find the third derivative of -9*z**2 - 10*z**b + 3*z**3 - 2*z**3 wrt z.
-54
What is the first derivative of 59*r**2 - 769 - 821 - 11*r**2 + 1680 wrt r?
96*r
What is the second derivative of -6*g**2 - 11*g**2 - 1 - 17*g + 6*g**2 - 3*g wrt g?
-22
What is the third derivative of -f**3 + 57*f**2 + 125*f**2 + 284*f**2 + 14*f**5 wrt f?
840*f**2 - 6
Suppose -12 - 24 = -6*y. Differentiate 2 + 10 + 7*c**4 - 2*c**4 + y*c**4 wrt c.
44*c**3
Let p(s) = -3*s**2 - 2. Let k(c) = 221*c**2 - 275. Let y(x) = k(x) - 3*p(x). Differentiate y(z) wrt z.
460*z
Let d(u) = 15*u**3 + 609*u. Let k(s) = -3*s**3 - 122*s. Let p(o) = -2*d(o) - 11*k(o). Find the second derivative of p(y) wrt y.
18*y
Let x(p) = -68*p**3 - 3*p**2 - 139. Let q(l) = -137*l**3 - 5*l**2 - 276. Let y(h) = -3*q(h) + 5*x(h). What is the derivative of y(b) wrt b?
213*b**2
Let q be 18/(2/1) - -1. Suppose -5*a = 4*u - 2*u - 3, 0 = 2*u - 2*a - q. Find the first derivative of 2 - 6*s**u - 7 + 0*s**4 wrt s.
-24*s**3
Let m be (4/5)/(8 + (-195)/25). Find the second derivative of 6 + m*q**5 + 4 + 11*q - 10 wrt q.
80*q**3
Let a(t) be the second derivative of -122*t**3/3 - 443*t**2/2 + 596*t. What is the first derivative of a(f) wrt f?
-244
Suppose 103 = -7*r + 103. Let q(f) be the third derivative of r*f + 8*f**2 + 0 + 13/24*f**4 + 4/3*f**3. What is the first derivative of q(p) wrt p?
13
Let g(p) = 5*p**4 + 6*p**3 + 3*p - 47. Let r(h) = -9*h**4 - 13*h**3 - 7*h + 95. Let q(u) = -7*g(u) - 3*r(u). What is the derivative of q(w) wrt w?
-32*w**3 - 9*w**2
Let d(m) = 22*m**3 - 3*m**2 + 38. Let p(f) = 43*f**3 - 5*f**2 + 77. Let l = -35 + 32. Let k(a) = l*p(a) + 5*d(a). What is the derivative of k(c) wrt c?
-57*c**2
Suppose -2*b + 2*l = -6, 2*l = 5*l + 3. Find the third derivative of -8*v + 9*v - 4*v**2 - 27*v**3 + 11*v**b + 2*v wrt v.
-162
Let p(r) = r**3 - r**2 - r + 7. Let d be p(0). Let q = 9 - d. What is the second derivative of w**3 + q*w**2 + 0*w - 2*w**2 + 5*w wrt w?
6*w
Let o(j) = 37*j**3 - 4*j**2 + 25*j - 4. Let m(p) = -112*p**3 + 11*p**2 - 76*p + 11. Let v(k) = -4*m(k) - 11*o(k). Find the second derivative of v(z) wrt z.
246*z
Let w(a) = 28*a - 1. Let d(n) = -16*n + 1. Let z(k) = -9*d(k) - 4*w(k). What is the first derivative of z(g) wrt g?
32
Suppose 11*v - 60 = 6*v. What is the second derivative of -13*c**2 - 8*c + 20*c + c + v*c wrt c?
-26
Let q(r) be the first derivative of -289*r**4/4 + r**3/3 + r**2/2 + 18*r + 132. Find the second derivative of q(n) wrt n.
-1734*n + 2
Let b be (18 - 7) + -1 + 1. Find the second derivative of -7*w - w + b*w + 18*w**2 - 2*w wrt w.
36
Let g(h) = -228*h + 40. Let d(w) = -114*w + 30. Let m(a) = -7*d(a) + 4*g(a). What is the first derivative of m(z) wrt z?
-114
Let w(m) = 149*m**2 + 20*m + 1. Let n(p) = -148*p**2 - 21*p - 1. Let z(v) = -5*n(v) - 6*w(v). What is the second derivative of z(o) wrt o?
-308
Let y(n) be the first derivative of -16/3*n**3 + 5/6*n**6 + 0*n**2 + 0*n + 0*n**4 + 0*n**5 + 12. Find the third derivative of y(u) wrt u.
300*u**2
Let o = 262 - 258. Let p(f) be the second derivative of 1/6*f**o - 5/2*f**2 + f + 0 + 0*f**3. Differentiate p(w) wrt w.
4*w
Let h(i) be the first derivative of -133*i**6/3 - 122*i**3 + 229. Find the third derivative of h(b) wrt b.
-15960*b**2
Find the third derivative of 51*v**3 - 25*v**2 + 1497 - 1497 wrt v.
306
Let l(r) = 121*r + 54. Let m(h) = -121*h - 53. Let b(x) = -4*l(x) - 3*m(x). Find the first derivative of b(g) wrt g.
-121
Let t(a) be the first derivative of 3*a**6/5 + 7*a**3/3 - 19*a - 12. Let y(h) be the first derivative of t(h). Find the second derivative of y(g) wrt g.
216*g**2
Let j(v) = -v**5 - v**4 - v**3 + 1. Let r(b) = 4*b**5 + b**4 + b**3 - b - 3. Let u(x) = -2*j(x) - 2*r(x). Find the second derivative of u(o) wrt o.
-120*o**3
Let w(f) = f**3 + 5*f**2. Let z be w(-5). Let a(n) = n**2 - n + 2. Let y be a(z). What is the second derivative of 3*m - 8*m + 3*m + y*m**2 wrt m?
4
Let k(x) be the third derivative of -x**7/70 - x**4/3 - 65*x**3/6 - 33*x**2 + x. Find the first derivative of k(l) wrt l.
-12*l**3 - 8
Suppose -q + 0*r + 14 = 2*r, 0 = -q - 4*r + 12. Find the first derivative of 16 - 13 + k + q + 14*k wrt k.
15
Let a(u) be the second derivative of 17*u**5/4 - 3*u**2 - 22*u + 1. What is the derivative of a(d) wrt d?
255*d**2
Let d(w) be the second derivative of 0 - 6*w**2 + 1/3*w**4 + 0*w**3 + 7*w. Differentiate d(b) wrt b.
8*b
Find the second derivative of -26 + 12*o**2 + o + o**2 - 3*o**5 + 5 + 36*o**2 wrt o.
-60*o**3 + 98
Let m(w) be the first derivative of -88*w**5/5 - 22*w**3/3 + 66. What is the third derivative of m(l) wrt l?
-2112*l
Let z(m) be the second derivative of -m**6/6 - 7*m**4/12 + m**3/6 - 28*m**2 - 113*m. Find the second derivative of z(u) wrt u.
-60*u**2 - 14
Let y(q) be the third derivative of 41/6*q**3 + 0*q**5 | {
"pile_set_name": "DM Mathematics"
} |
ob of picking 1 g and 1 y when two letters picked without replacement from {t: 1, y: 3, a: 4, h: 2, o: 1, g: 1}.
1/22
Calculate prob of picking 2 t and 1 s when three letters picked without replacement from ttst.
3/4
Calculate prob of picking 2 k when two letters picked without replacement from oukkuuoupkzukp.
6/91
Three letters picked without replacement from qeeeveq. What is prob of picking 1 e and 2 q?
4/35
Two letters picked without replacement from {a: 6, l: 2}. Give prob of picking 2 l.
1/28
Two letters picked without replacement from vixtxvv. What is prob of picking 2 v?
1/7
Four letters picked without replacement from {z: 6, n: 13}. Give prob of picking 4 z.
5/1292
Two letters picked without replacement from {q: 1, r: 1, l: 1, d: 2, s: 2, u: 1}. Give prob of picking 1 u and 1 s.
1/14
Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {i: 3, p: 2, a: 2, z: 3, k: 1, t: 1}.
1/33
Two letters picked without replacement from {e: 1, s: 2, c: 2, u: 1}. What is prob of picking 2 s?
1/15
Four letters picked without replacement from mgaggjxgtmtgmaagjg. What is prob of picking 2 t and 2 m?
1/1020
Calculate prob of picking 2 o when two letters picked without replacement from {s: 3, w: 4, j: 9, o: 2}.
1/153
Calculate prob of picking 2 u and 1 f when three letters picked without replacement from {f: 2, u: 2, s: 6, m: 6, i: 1}.
1/340
Four letters picked without replacement from dlldaadrllrrdllllll. What is prob of picking 1 a, 1 d, and 2 r?
2/323
Two letters picked without replacement from {e: 4, s: 2, y: 6}. Give prob of picking 2 s.
1/66
Two letters picked without replacement from {s: 2, l: 2, r: 1, y: 1, n: 4}. What is prob of picking 1 l and 1 r?
2/45
Three letters picked without replacement from {k: 5, u: 3, y: 1}. Give prob of picking 1 u and 2 k.
5/14
Three letters picked without replacement from eghtggghgkegtek. Give prob of picking 2 h and 1 t.
2/455
Two letters picked without replacement from zyyezeyezeyyzyz. What is prob of picking 1 z and 1 y?
2/7
Two letters picked without replacement from eppzphzmzm. Give prob of picking 1 z and 1 m.
2/15
Three letters picked without replacement from vmvjvvvmssvmivmvm. What is prob of picking 1 v and 2 s?
1/85
What is prob of picking 1 m and 1 d when two letters picked without replacement from {m: 1, d: 1, s: 1, z: 3, y: 6}?
1/66
What is prob of picking 1 r and 1 l when two letters picked without replacement from leler?
1/5
Three letters picked without replacement from qvqvv. Give prob of picking 3 v.
1/10
Two letters picked without replacement from bbbbbibbiiibbiibbb. Give prob of picking 2 i.
5/51
Calculate prob of picking 1 l, 1 c, and 1 j when three letters picked without replacement from {l: 1, g: 4, j: 1, c: 6, i: 2, m: 4}.
1/136
What is prob of picking 1 b, 1 j, and 2 o when four letters picked without replacement from {o: 1, b: 3, j: 1}?
0
Three letters picked without replacement from osggoon. Give prob of picking 1 o and 2 g.
3/35
Two letters picked without replacement from {h: 1, t: 6, v: 2, f: 5, l: 2}. What is prob of picking 1 t and 1 f?
1/4
Two letters picked without replacement from aaaaaooaa. What is prob of picking 2 o?
1/36
Two letters picked without replacement from vcvvvchvvsvovso. Give prob of picking 1 c and 1 o.
4/105
Two letters picked without replacement from rhrharqlrhhrrhhahgrh. What is prob of picking 1 r and 1 l?
7/190
Two letters picked without replacement from {n: 1, s: 2, a: 2, k: 8, c: 1, l: 3}. What is prob of picking 1 k and 1 s?
2/17
Calculate prob of picking 2 g and 2 q when four letters picked without replacement from {q: 8, g: 2}.
2/15
Calculate prob of picking 2 v and 1 j when three letters picked without replacement from jjjvjjjjvjjjvj.
33/364
Calculate prob of picking 3 w when three letters picked without replacement from uuuwuuwuuuwpuwuwuu.
5/408
Calculate prob of picking 1 l and 1 g when two letters picked without replacement from gllxxblylyggylyvyx.
5/51
Three letters picked without replacement from {z: 1, c: 2, x: 1, o: 2, n: 2, f: 1}. What is prob of picking 1 n and 2 z?
0
Calculate prob of picking 1 v, 1 m, and 1 g when three letters picked without replacement from {v: 2, m: 1, g: 1}.
1/2
Three letters picked without replacement from {e: 1, y: 4, h: 4, r: 7, g: 2}. Give prob of picking 1 e and 2 r.
7/272
What is prob of picking 1 x, 1 j, 1 l, and 1 d when four letters picked without replacement from {l: 1, p: 2, s: 1, d: 5, j: 3, x: 1}?
3/143
Two letters picked without replacement from yyyyyyy. What is prob of picking 2 y?
1
Calculate prob of picking 2 w and 2 r when four letters picked without replacement from mmrormrmwworomm.
2/455
Three letters picked without replacement from gbbnjjjjjgjjjjjjjgj. Give prob of picking 1 n, 1 g, and 1 j.
13/323
What is prob of picking 1 n and 3 z when four letters picked without replacement from zzznzzzzznznznnz?
165/364
Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 3, s: 2, k: 4, b: 6}.
4/35
Calculate prob of picking 3 r and 1 n when four letters picked without replacement from {r: 5, k: 1, n: 1, b: 3}.
1/21
What is prob of picking 1 f and 2 t when three letters picked without replacement from {w: 3, r: 6, t: 8, f: 2}?
56/969
Two letters picked without replacement from {m: 6, r: 1, p: 11}. Give prob of picking 2 m.
5/51
Calculate prob of picking 2 u, 1 o, and 1 b when four letters picked without replacement from {q: 1, o: 1, u: 2, b: 1, r: 2}.
1/35
Two letters picked without replacement from {v: 1, w: 1, g: 1, s: 1, c: 5, y: 10}. What is prob of picking 1 v and 1 y?
10/171
What is prob of picking 1 q and 1 c when two letters picked without replacement from qqjzcqjzzq?
4/45
Three letters picked without replacement from gtpptpgoioottp. What is prob of picking 1 g and 2 t?
3/91
Three letters picked without replacement from jwmhwwehmmmhwwjwmww. What is prob of picking 2 j and 1 h?
1/323
Two letters picked without replacement from uuauuuaauuuuuaauaua. What is prob of picking 2 u?
22/57
Two letters picked without replacement from {z: 2, i: 4, f: 1}. Give prob of picking 1 z and 1 f.
2/21
Three letters picked without replacement from llxxungxxlxxujxuugun. Give prob of picking 1 g, 1 j, and 1 n.
1/285
Two letters picked without replacement from eewcxgg. What is prob of picking 1 e and 1 x?
2/21
What is prob of picking 1 q and 1 h when two letters picked without replacement from {q: 5, h: 1, l: 1, o: 2, f: 2, u: 4}?
1/21
Four letters picked without replacement from ghuhhhuhheug. What is prob of picking 1 g, 2 h, and 1 u?
2/11
Three letters picked without replacement from tiitttitiiiti. What is prob of picking 2 t and 1 i?
105/286
Two letters picked without replacement from {y: 1, w: 2}. What is prob of picking 1 w and 1 y?
2/3
Two letters picked without replacement from {a: 1, j: 1, r: 2, k: 3, z: 4}. Give prob of picking 2 z.
6/55
Three letters picked without replacement from naxaaranaxan. Give prob of picking 2 x and 1 a.
3/110
Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {j: 5, p: 11, u: 1}.
11/136
Four letters picked without replacement from {h: 11, q: 2, b: 1, t: 5}. What is prob of picking 2 q and 2 h?
55/3876
Three letters picked without replacement from {b: 1, v: 1, g: 2}. What is prob of picking 2 g and 1 v?
1/4
Three letters picked without replacement from {w: 7, k: 7, g: 4}. What is prob of picking 1 g, 1 w, and 1 k?
49/204
Calculate prob of picking 4 m when four letters picked without replacement from {a: 1, m: 14}.
11/15
Calculate prob of picking 2 g and 1 d when three letters picked without replacement from {d: 5, g: 8, q: 3}.
1/4
Two letters picked without replacement from {u: 1, q: 1, o: 1, c: 1, v: 1}. Give prob of picking 1 o and 1 u.
1/10
Three letters picked without replacement from mmhwalxha. What is prob of picking 1 m, 1 x, and 1 h?
1/21
Three letters picked without replacement from ffbpfffsfspfbbp. Give prob of picking 2 f and 1 s.
6/65
Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {h: 4, r: 1, w: 1, v: 2, t: 1}.
1/36
Four letters picked without replacement from lppxxlxllplppxlllx. Give prob of picking 3 x and 1 p.
5/306
Two letters picked w | {
"pile_set_name": "DM Mathematics"
} |
w)*((-2 - 1 - 2)*(4*w - 3*w + 0*w) - 1 + 2*w + 0 + 3).
9*w**2 - 6*w
Expand (0*x + 11*x + 3*x)*(16*x**4 + 7*x**4 - 7*x**4) + (-x - 1 + 1)*(5*x**2 - 2*x**4 - 5*x**2).
226*x**5
Expand (8*f**2 - 5*f**2 + 2*f**2)*(31 + 5 + 48 - 7).
385*f**2
Expand (2 - 5 + 2)*(0 - 1 - 1)*(2*o**3 + 0*o**3 + 29*o - 2 + 3).
4*o**3 + 58*o + 2
Expand 0*g**5 + g**5 - 4*g**5 + (8*g**2 - 8*g**2 - 4*g**4)*(-g + 3 - 2*g - 5).
9*g**5 + 8*g**4
Expand (-2 + t + 2)*(4 - t**3 - 4) - 3*t - 1708*t**4 + 3*t - 268*t**4.
-1977*t**4
Expand (-4*k + 0*k + 3*k)*(0*k**2 - 9*k**2 - 4*k**2 + (6*k + 4*k - 3*k)*(2*k + 3*k - 4*k)).
6*k**3
Expand (2*k + 0*k - 5*k)*(-2 + 1 + 0) - 2*k - 2*k - k + (-2*k - 1 + 1)*(-5 + 1 + 2) + 3 + 2*k - 3.
4*k
Expand (0 + 2 - 5)*(-1 + 3*g + 1 + (6 - 6 + 2*g)*(1 + 3 - 1)).
-27*g
Expand (-t**2 + 1 - 1)*(2 + 1 + 2) - 4*t**2 + 0*t**2 + 3*t**2 + 2*t**2 + t - t + t - t**2 - t + (2 + 2*t - 2)*(6*t - 3*t - t).
-t**2
Expand (3 + 0 - 1)*(-2*q**3 + 3*q**3 + q**3 + (q**2 - q**2 + q**2)*(-q + 6*q - 3*q)).
8*q**3
Expand (-2 - 2 - 1)*(-1 - 1 - 3)*(3*q**3 - q**3 + q**3).
75*q**3
Expand 117*o + 34*o - 27*o + (2 - 5 + 1)*(3*o - 5*o + o).
126*o
Expand (-v**2 - 5 + 5)*(2*v + 0 + 0)*(112*v**2 + 913*v - 913*v).
-224*v**5
Expand (-2*u**2 - 5*u**2 + 5*u**2)*((0*u**2 + 2*u**2 - u**2)*(-2*u - 1 + 1) + 3*u**3 + 0*u**3 + 0*u**3 - 7*u**3 + 7*u**3 + 13*u**3).
-28*u**5
Expand 2*l**2 + 0*l + 0*l - 9*l + 9*l - 6*l**2 + 5*l**2 + 0*l**2 - 4*l**2 + (-7*l + 0*l + 4*l)*(-l + 0*l - l).
3*l**2
Expand (-9 + 43*b + 43*b - 89*b)*(2*b**2 + 0*b**2 - 3*b**2 + (-b**2 + b**2 + 2*b**2)*(5 - 3 - 4) - 2*b**2 + 3 - 3 + b**2 - 1 + 1 - b**2 - b**2 + b**2).
21*b**3 + 63*b**2
Expand (-49 + 103 + 87)*(-15 + 15 + 4*h - 4*h - h + 6*h + (h - 3*h + h)*(-1 - 2 + 1) + 2*h + 0*h + 0*h).
1269*h
Expand (4*r + 3*r - 5*r)*(7*r**2 + 7*r - 7*r) - 3*r**3 + 0*r**3 + 5*r**3.
16*r**3
Expand (-197 + 197 + 174*f + 220*f)*(1 - 4 + 6).
1182*f
Expand (-5*w**2 + 3*w**2 - 3*w**2)*(1 + 3 + 2)*(w + 0*w + w)*(-4 - 4 + 5).
180*w**3
Expand (5*c**3 - 3*c**3 - c**3)*(3*c**2 - 2*c**2 + 0*c**2) - 12*c**5 + 34*c**5 - c**5.
22*c**5
Expand -7*t + 3*t - 5*t + (-4 + 1 + 1)*(4*t + t - 3*t).
-13*t
Expand (3 + 0 - 5)*(0*w**3 + 3*w**3 - 4*w**3 + (-w + 3*w - w)*(-w**2 - 2*w**2 + w**2) + w**3 - 2*w**3 + 2*w**3 + 65 - 65 - 19*w**3).
42*w**3
Expand (4*s + 0*s - 3*s)*((21 + 23 + 6)*(3 + 3 - 5) - 1 + 2 + 1).
52*s
Expand -3*y + 5*y - 3*y + (0*y - 2*y + 4*y)*(0 + 0 - 13) - 3*y + 4*y - 5*y.
-31*y
Expand (0 + 0 - 4)*(1 - 1 - d**5) + d**5 + d**5 - d**5 + (-2*d**4 + 2*d**3 - 2*d**3)*(5*d - 5*d - 49*d).
103*d**5
Expand -9*s - 22 + 22 + (0 + 0 - 8)*(-5*s - s + s).
31*s
Expand (-2*q**3 - q**3 + 4*q**3)*(-3 + 14 + 10505*q - 10501*q)*(-1 + 2 - 3).
-8*q**4 - 22*q**3
Expand -5*f**3 + 3*f**3 + 0*f**3 + (-f + 4 + 2*f + 0)*(-19897 - 212*f**2 + 19897).
-214*f**3 - 848*f**2
Expand (-3 + 0 + 5)*(-l**4 + 2*l**4 + l**4)*(0*l + 5*l - 3*l + (4 - 2 - 3)*(l + 4*l - 3*l) - 5*l + 2*l + 4*l + 2*l + 0*l - l + 0 - l + 0)*(0 + 9 + 12).
84*l**5
Expand (-8*l + 0 - 1 + 9*l)*(-1 - 12 - 3).
-16*l + 16
Expand (3*x**2 - 2*x**5 - 3*x**2)*(-37 + 16 + 1) + (0 + 0 - x**3)*(-2*x - x**2 + 2*x).
41*x**5
Expand (-4*d - 4 + 4)*(2*d**2 - 2*d**2 + d**2) + 7*d**2 + 29*d**3 - 7*d**2 + 0*d**3 - 2*d**3 + 0*d**3.
23*d**3
Expand (-u + 0*u - u + (2*u + u - 5*u)*(0 + 1 + 1))*(1 - 2 + 0 + (-4 + 2 + 4)*(-45 + 48 - 126)).
1482*u
Expand (u + 4*u + 0*u)*(-5 + 2 - 2)*(0 + 0 - 2*u).
50*u**2
Expand (-l + 2*l**3 + l)*(269 - 213 - 147).
-182*l**3
Expand (0*o**3 + 0*o**3 + o**3)*(-77*o**2 + 95*o**2 + 246*o**2).
264*o**5
Expand (-17*t**2 + 50*t - 17*t - 33*t)*(-1 + 2 - 5).
68*t**2
Expand -c**3 + 3*c**3 + c**3 + (0 + 0 - 3)*(-3*c - 2*c**3 + 3*c) - 2*c**3 + 0*c**3 - 2*c**3.
5*c**3
Expand (4 - 1 - 1)*(-2*l**4 + l**4 + 2*l**4) - 4*l**4 + 6*l**4 + 3*l**4 + (-4*l - 4*l + 6*l)*(4*l**3 - 4*l**3 + 3*l**3).
l**4
Expand (-28*d + 142 - 142)*(1 + 1 + 0).
-56*d
Expand (-5 - 40*f + 4 - 1)*(1 - 1 + 8*f).
-320*f**2 - 16*f
Expand (6*o + 3*o + 0*o)*(o**2 - o**2 - 2*o**2 + (o - 5*o - o)*(1 + 2*o - 1) - 2*o**2 + 2*o**2 - o**2).
-117*o**3
Expand (0*l**2 + 0*l**2 + l**3 + l**2 - 2)*(36*l - 115 + 115 + 4*l - 3*l + 0*l + (-l + 0*l - l)*(-1 + 1 + 2) + 2*l - 2*l - 2*l) + 0*l + 0*l - l**4.
30*l**4 + 31*l**3 - 62*l
Expand 0*o**2 + o**2 - 4*o**2 + (2 - 3*o - 2)*(2*o - 7*o + 2*o).
6*o**2
Expand (-42*z**2 - 6*z**2 - 57*z**2 - 2*z**2 + 2*z**2 - 2*z**2 + (-z - z + z)*(-1 - 2*z + 1) - z + z + 2*z**2)*(-2 + 3 + 0 + (5 - 5 - 1)*(-4 + 5 - 3)).
-309*z**2
Expand (1 - 1 - 1)*(-1 + 1 + 4*y)*(-2 + 4 - 1) - 6*y + y + 4*y + (2*y + 0*y - y)*(1 - 1 - 2).
-7*y
Expand t + 2*t - 2*t + 2 - 2 + t + (0 + 2 - 3)*(-2*t - 2*t + 2*t) + 2*t + 3 - 3 + 1 + 2*t - 1 + 0*t + 4*t - 6*t - 14*t + 464*t + 417*t.
873*t
Expand (3 - 4 - 13)*(-4*k - 2*k - 10*k).
224*k
Expand -2*p + 2768 + 0*p - 2799 + (1 - 4 + 1)*(2 - 2 - 2*p).
2*p - 31
Expand (-w + 2*w + w)*(43237*w**2 - 21547*w**2 - 21416*w**2).
548*w**3
Expand (-2 + 3 + 6)*(0*u**5 - 5*u**5 - 3*u**5) + 0*u**5 + 4*u**5 - 3*u**5 + (-2 - u**4 + 2)*(u + 3*u - 2*u).
-57*u**5
Expand 10*f - 10*f - 5*f**2 + (-1018 + 26*f + 1018)*(f + 2*f - 5*f) - 5*f + 5*f - 2*f**2.
-59*f**2
Expand -2*x - x + 4*x - 3*x - x + 3*x + (0 - 2 + 4)*(-8*x - 2*x + 0*x).
-20*x
Expand (-6*m**2 + 5*m**2 - 4*m**2)*(3 + 0 - 1 + 0 + 3 - 4 + (0 - 3 + 1)*(3 + 2 - 3))*(18*m**2 - 5*m**2 - 3*m**2).
150*m**4
Expand (4*f - 60*f - 35*f)*((-1 + 1 + f)*(-4 + 6 - 4) + 5*f - f - f).
-91*f**2
Expand (1 + 2 + 5)*((1 + 4 - 6)*(6 - s - 6) + s - 4*s + 5*s + (0 + 0 - 2*s)*(-2 + 3 + 1) - 1 - s + 1 + 2*s + s - 5*s)*(-2*s**2 + 3*s**2 + s**2).
-64*s**3
Expand (-2*b + 0*b + b)*(3 - 8 + 39*b**2 + 2*b - 41*b**2).
2*b**3 - 2*b**2 + 5*b
Expand (1 + 1 - 1)*(28741 - 14370 - 14371 + 649*f**2).
649*f**2
Expand 32*x**2 - 15*x**2 - 15*x**2 - 101 + (-1 + 1 - 2*x)*(0 + 0 - 2*x) + 2*x - 2*x + 2*x**2.
8*x**2 - 101
Expand (w**2 + 3 - 3)*(2*w + w - 5*w) + (2 - 3 + 0)*(-5 + 5 + 3*w)*(-120 - 17*w**2 + 120).
49*w**3
Expand (1 + 55 - 316)*(-2*i + 5*i - 2*i).
-260*i
Expand (2 + 4 + 14)*(35 - 14*o - 35).
-280*o
Expand 7*b + b**2 - 7*b + 6 - 6 - 8*b**2 + (-3 - 2 + 3)*(-1 + 1 - 2*b**2) - 4*b**2 + 0*b**2 + 5*b**2 - 3*b + b**2 + 3*b.
-b**2
Expand -3*d + 61*d - 153*d + (2 + 2 - 6)*(-2 + 2 + 2*d).
-99*d
Expand (-38*y + 3756 - 3756)*(2*y**2 - y**2 - 2*y**2)*(-3 + 4 - 2) + 8*y**3 + 0 + 0.
-30*y**3
Expand (-108 - 10 - 2)*(3 + 1 - 3)*(-3 - j + 3).
120*j
Expand (1 + 1 - 1)*((4*n + 0*n - 2*n)*(0 - 1 + 2) - 78 + 78 + 112*n).
114*n
Expand (3*i + 0*i + 0*i + (6 - 2 - 2)*(-2 + 3*i + 2))*(-2 + 2 - 10*i).
-90*i**2
Expand (-4 + 4 - 5*x)*(-2 + 0 + 1)*(18454*x**2 - 18454*x**2 - 2*x**3 - 10*x).
-10*x**4 - 50*x**2
Expand 1 - 10*c - 1 + (0*c + 0*c - c)*(4 + 0 - 3) + 2*c + 0*c + 0*c + 4*c + 6 - 6 + c - c - 2*c.
-7*c
Expand (-27*u**4 - 141 + 141)*(1 - 1 + u)*(5 - 6 + 9) - 2*u**5 + u**4 - u**4.
-218*u**5
Expand 2*d**5 + 0*d**5 + 0*d**5 + (-21*d**2 + 1 - 110*d + 110*d)*(9*d**2 - 6*d**2 + 9*d**2)*(0 + 0 + d).
-250*d**5 + 12*d**3
Expand (2 - 1 - 3)*(-199*u**2 + 1760 - 1760).
398*u**2
Expand (-3 + 3 - 2 + 4 - 3 + 2 + 2 + 0 + 0 + (3 - 2 + 1)*(1 - 2 + 2) - 3 - 1 - 2)*(-1 + 4*z + 1).
-4*z
Expand (3*s + s - 6*s)*(2*s**2 - 3*s**2 - 5*s**2)*(1 - 2 + 2)*(4 - 2 - 1)*(0 + 0 + 2)*(-1 + 5 + 0).
96*s**3
Expand (-70*k - 935 + 935)*(3*k**3 - 3*k**3 - 4*k**4).
280*k**5
Expand (-2*v - 14*v + 6*v)*(3*v**3 + 3 - 3 - v**2)*(-3*v + 0*v + 4*v).
-30*v**5 + 10*v**4
Expand (r - 1 + 1)*(2 - 2 + r) - 3 + 4*r**2 + 3 + (-3 - 3 + 0)*(-2*r**2 + 2*r**2 - 3*r**2) + 1 + 4*r**2 - 1.
27*r**2
Expand ((-3*b + 0*b + 6*b)*(-b - 2*b + b) + 6*b**2 + 0*b**2 + 3*b**2)*(2 - 2*b**3 - 2 + 2*b**2).
-6*b**5 + 6*b**4
Expand (-2*c + 1 - 1)*(3*c**2 + 2*c**2 - 3*c**2) + 342*c**3 - 102*c**3 + 280*c**3.
516*c**3
Expand (-5 + 4 - 1 + (-3 + 2 - 1)*(0 + 0 + 2) + 1 - 4 + 1 + 7 - 7 + 6)*((5 + 0 - 4)*(2*f**3 - 9*f**3 - 4*f**3) + 2*f**3 - f**3 + f**3).
18*f**3
Expand (-4 - 1 + 3)*(-2 - 3*i + 2) + (-1 + 1 + i)*(1 + 0 - 2) + 0 + 2*i + 0 - 1241 + 91*i + 1241.
98*i
Expand (5 - 4 - 3)*((-3*y - y + 5*y)*(2 + 2 - 3) - 2*y + 9*y - 2*y) - 2*y + 0*y + 2 - 5*y.
-19*y + 2
Expand (-4*g - 2*g + g)*(-g - g + 4*g) + (-4*g + g + 2*g)*(-5*g + 6*g + 7*g).
-18*g**2
Expand (8*r + 14*r - 4*r)*(r + 0*r + 0*r) + 5*r**2 + 0*r**2 - 3*r**2 + (0*r + 0*r + 2*r**2)*(1 + 3 - 2).
24*r**2
Expand (-21 - 61*k + 9 + 10)*(-5 + 4 + 0 + (-3 - 1 - 3)*(2 + 0 - | {
"pile_set_name": "DM Mathematics"
} |
) be the second derivative of a**5/20 + 7*a**4/6 - a**3/3 - 15*a**2/2 - 5*a. What is the tens digit of i(-14)?
1
Let y(m) be the third derivative of -m**6/120 - m**5/10 - m**4/3 - 7*m**3/6 + 6*m**2. What is the units digit of y(-5)?
8
Let a(j) = j**3 + 2*j**2 + 2*j - 2. Let i(r) = 2*r**3 + 3*r**2 + 3*r - 3. Let s(x) = 7*a(x) - 4*i(x). What is the units digit of s(-2)?
0
Suppose -3*a - 2*k = -0*a - 35, -3*a - 3*k + 30 = 0. What is the tens digit of a?
1
Suppose n + 3 = -3*n - o, 2*n - 4*o = 12. Suppose h - 3*h + 4 = n. What is the units digit of 2/(2/6*h)?
3
Let b(s) = -s + 13. What is the tens digit of b(0)?
1
Let u = 7 + 0. What is the units digit of 4/1*u/2?
4
Let v = 17 + -15. What is the units digit of v?
2
Suppose 3*h - 30 = -2*h. Suppose -5*t = o - 24, -5*t + 26 = 3*o - h. Let x = o - 2. What is the units digit of x?
2
Let f be 6/9 + 20/6. Suppose 0 = 3*r - f - 65. What is the tens digit of r?
2
Let h(u) = -u + 6. Let w be h(4). Suppose -4*m - 7 = -a, w*m + 5 - 3 = 2*a. What is the units digit of -1 - (-2 - (m + 4))?
3
Let m(h) = -h + 6. Let w be m(10). Suppose -4*r = -3*r + 21. What is the units digit of 16/6*r/w?
4
Let d(s) be the third derivative of -3*s**6/10 - s**3/6 + s**2. Let h be d(-1). Suppose -3*c = 2*c - h. What is the units digit of c?
7
Let j be (12/5)/((-4)/(-20)). What is the tens digit of 126/(-6)*j/(-14)?
1
Let h(a) = 3*a**3 - 3*a**2 + a + 2. Let l be h(2). Suppose 2*t = -5*s - l + 1, 2*s = -2*t - 18. Let y(c) = -c. What is the units digit of y(t)?
0
Suppose 1 = o + 3*q - 14, 5*o + q - 47 = 0. Let h = -7 + o. What is the units digit of 14/4*(4 - h)?
7
Let i = 41 + -25. Suppose 0 = -q + 52 - i. What is the tens digit of q?
3
Let o be (1 - 2) + 4/4. Suppose o = 3*v + 13 + 8. Let p = 22 + v. What is the tens digit of p?
1
Suppose -3*v + 17 = 5*w - 5*v, 12 = 4*w - 2*v. Suppose 2*n - 4 = 0, w*u = -0*n + 5*n + 10. What is the units digit of u?
4
Let k(q) be the first derivative of -q**3/3 - 2*q**2 + q - 2. Let o be k(-4). What is the units digit of o/((-21)/(-9) + -2)?
3
Let c(n) = -n**3 + 4*n**2 + 11*n + 11. What is the units digit of c(6)?
5
Let g(k) = k**2 - k + 4. Let d(o) = o**2 - o. Let i be d(1). Let r be g(i). Suppose p - 5 = -r*p. What is the units digit of p?
1
Suppose -119*u + 115*u = -776. What is the hundreds digit of u?
1
Suppose 3*u = s - 59, -2*s - s + 3*u + 165 = 0. What is the units digit of s?
3
Let l be (-54)/(-10) - 10/25. Let t(s) = -s - 4. Let x be t(-9). Suppose -l*z - 4*f + 52 = 0, 7*z - 2*z + x*f = 55. What is the units digit of z?
8
Let d = 8 - 4. Suppose d*h = -4*z + 16, z - 4*h - 2 = -8. Suppose -z = -w + 5*p, w = -p - 0*p + 2. What is the units digit of w?
2
Let w = 6 + -4. Suppose 0*i + 2*i - 3*a - 10 = 0, 4*i + w*a - 20 = 0. Suppose i*m - 3*b = 60, -m - 4*b + 5 = 16. What is the units digit of m?
9
What is the units digit of -1 - -3 - (-3 - 20)?
5
Suppose 5*r = 0, -91 + 7 = -4*z + 2*r. What is the units digit of z?
1
Let y be ((-6)/10)/((-2)/10). Suppose 0 = u - q - 8, -u = 3*u - y*q - 30. Suppose -u*k - 15 = -9*k. What is the units digit of k?
5
Suppose 228 = -4*k + 96. What is the tens digit of 4/22 + (-555)/k?
1
What is the tens digit of (6 - -1)*(-240)/(-56)?
3
Let i = 20 - 4. Let k = 8 + i. What is the units digit of k?
4
Let p(a) = -46*a - 12. What is the tens digit of p(-7)?
1
Let u be (-2)/(-3 - -8 - 3). What is the units digit of -6*(-3 - (1 + u))?
8
Let q = 161 - 15. What is the tens digit of q?
4
Let i(x) be the third derivative of -x**4/24 - x**3 + 2*x**2. Let l be i(-5). Let v = 0 - l. What is the units digit of v?
1
Let i = -2 + 34. What is the units digit of i?
2
Let o(c) = -20*c - 2. Let k be (-4)/(-6) + 15/(-9). What is the tens digit of o(k)?
1
Let r(i) be the second derivative of -3*i**5/10 + i**4/6 + i**3/6 + 3*i. Let o be r(-1). Suppose 2*a - 1 - o = 0. What is the units digit of a?
4
Let q be (96/15 - 2)*5. Suppose h - q = -3*a, 0 = -4*a + 5*a - 4. Suppose 3*m - h = 8. What is the units digit of m?
6
Let z be 2/9 - (-48)/27. Suppose 0 = -0*a - z*a + 48. Suppose -4*j = 4*w + 4 - 56, -a = -2*j - w. What is the units digit of j?
1
Let g = -4 - -9. Suppose -g*a - 5*h + 135 = 0, -a - 2*a + 91 = -2*h. What is the tens digit of a?
2
Suppose -2*d - 2*g - 20 = 0, d - g + 14 = -2*d. Let m = d - -10. Let r = m - 3. What is the units digit of r?
1
Let h be 6/3 - 2 - 3. What is the units digit of h/12 - 387/(-12)?
2
Suppose 0 = -5*c + 10 + 5. Suppose 7 - 34 = -c*k. What is the units digit of k?
9
Suppose 0 = -2*h + 72 + 30. What is the units digit of h?
1
Suppose -2*d - 2 + 4 = 0. Let c(y) = 0 - 1 + 11*y + y. What is the units digit of c(d)?
1
Let z(j) = 2*j - 3. Let p be z(3). Let b be ((-1)/(p/12))/(-1). Let x = 11 + b. What is the units digit of x?
5
Let z = 120 + -79. What is the units digit of z?
1
What is the tens digit of -2 + 4 + 17 + 1?
2
Let t(r) be the second derivative of r**4/12 - 5*r**3/6 + 7*r**2/2 - 3*r. What is the units digit of t(6)?
3
Let h(s) = -s**2 - 7*s + 4. Let f be h(-7). Suppose 14 = -2*r + f*r. What is the units digit of r?
7
Let v be 1/2 + (-1)/2. What is the tens digit of 0 - (-1 - v)*13?
1
Let a(f) = 10*f**3 - f**2 - f + 1. Let u be a(1). Suppose -d + 5*b - 10 = -0*b, -3*d + 2*b - 4 = 0. Suppose t = -d + u. What is the units digit of t?
9
Let x(z) = 5*z - 8. What is the units digit of x(4)?
2
Suppose -f = f + 16. Let q = f - -17. What is the units digit of q?
9
Let b(i) = -i**2 + 28*i - 15. What is the units digit of b(14)?
1
What is the tens digit of 306/(-36)*(1 + -3)?
1
Suppose q = -q + 38. Let r(o) = -o**3 - 5*o**2 - o + 4. Let i be r(-4). Let g = i + q. What is the units digit of g?
1
Let h be ((-2)/4)/((-10)/260). Let m = 17 - h. What is the units digit of m?
4
Let p be (4/2)/(1/2). Let x = p - 1. Suppose 0*m + m + x = 0, -3*z = 4*m - 18. What is the units digit of z?
0
Let s(l) = -3*l**3 + l + 1. Suppose 2*c + 1 = u, -u = -c - 0*c. Let g be s(u). Suppose g - 9 = -w. What is the units digit of w?
6
Let d be -6*(1/(-2))/1. Let y be ((-6)/(-9))/(d/45). Suppose -20 = -c - v, 3*v + 20 = 3*c - y. What is the tens digit of c?
1
What is the units digit of (10 + -28)/((-6)/4)?
2
Let y(t) = -t**3 - 5*t**2 - t. Let k be y(-5). What is the units digit of ((-32)/k)/((-4)/30)?
8
Let t be ((-20)/(-6))/((-11)/33). Let w(k) = -5*k - 14. What is the units digit of w(t)?
6
Let d = -5 - -7. Suppose 0 = d*f + 1 - 11. Suppose 5*n - f*c - 70 = 0, -4*c + 9*c = -15. What is the units digit of n?
1
Suppose -4*v + 156 = -l, 4*v - l - 196 = -v. What is the tens digit of v?
4
Let i be (-1 - -2 - 0) + -1. Suppose -5*h = -4*a + 39, -5*h - 27 = -i*a - 2*a. What is the units digit of ((-45)/a)/5*-6?
9
Let w(r) = -r**3 - 19*r**2 - 38*r + 41. What is the hundreds digit of w(-17)?
1
Let f = -41 + 14. Let u(d) = -d**3 - d**2 + d + 328. Let l be u(0). What is the units digit of l/18 + 6/f?
8
Let p(j) = -j**3 - 5*j**2 + 5*j - 4. Let w be p(-6). Suppose -w*r + 38 = -36. What is the units digit of r?
7
Let u(g) = 15*g - 3. Let r(n) = -22*n + 5. Let d(q) = 5*r(q) + 7*u(q). What is the units digit of d(-3)?
9
Let f(r) be the second derivative of -r**3/3 - 2*r**2 + 7*r. What is the units digit of f(-4)?
4
Let j = -3 - -5. Suppose 4*y + j*y - 198 = 0. What is the units digit of y?
3
Suppose y + 13 = 4*z, -8 = -4*y + 5*z - z. Suppose -3*l + y = -5. Let n = l - -9. What is the tens digit of n?
1
Suppose -4*d + 3*l - 5*l + 42 = 0, 5*d - 65 = -5*l. Let c(u) = 8*u - 17*u + 2 - u**2 - d. What is the units digit of c(-5)?
4
Suppose 452 = 5*p - 4*r, p + 3*p = 4*r + 364. Suppose -m - 128 = -5*b, -3*b - p = -7*b - 4*m. What is the units digit of b?
5
Suppose 15 = 5*s, -6 = 2*y + y - 5*s. Suppose 0 = 3*o - 36 + y. Let d = o + -3. What is the units digit of d?
8
Let k(x) = x**3 - 9*x**2 + 10*x + 2. Let j be k(8). Suppose -l - j = 2*l. What is the units digit of 9 - (-4)/l*3?
7
Let t be 0 + -6*(-16)/12. Let d(l) = 3*l - 4. What is the tens digit of d(t)?
2
Let u = -8 + 7. Let d be (7*-2)/u + -3. Suppose 0 = -2*l + d + 13. What is the tens digit of l?
1
Suppose 134 = o + 2*l + 2*l, -5*l = 2*o - 253. What is the hundreds digit of o?
1
Let k(a) = -a + 21. What is the tens digit of k(9)?
1
Suppose -7*z + 0*z = -364. What is the tens digit of z?
5
Suppose -120 = -13*x + 8*x. Let l = x - 16. What is the un | {
"pile_set_name": "DM Mathematics"
} |
. Solve z = -2*k - k - 12 for k.
-4
Suppose -8*s - 5*o + 35 = -4*s, 33 = 3*s - 3*o. Solve 0 = 158*a - 163*a - s for a.
-2
Let v(u) = -9*u**2 + 20*u - 74. Let o be v(6). Let g = o - -281. Solve 0*w + 12 = -g*w for w.
-4
Suppose 0 = 3*w - 2*h - 488, -w + 5*h - 41 + 208 = 0. Let r be 164/18 + (-18)/w - 5. Solve 6 = -r*t + 2*t for t.
-3
Let v = 222 + -54. Suppose 0 = -6*j + 14*j - v. Solve 11*z + j = 4*z for z.
-3
Let m(v) = -v**2 - 2*v + 16. Let n be m(0). Suppose n*p = -6*p + 176. Solve p*i = 10*i for i.
0
Suppose 3 = -3*m, m - 24 = -4*w + 107. Suppose -5*l = -3*z - 635, w = 5*z + 8. Let k = 132 - l. Solve b + k = 1 for b.
-1
Let b(u) = -2*u**3 - 10*u**2 + 29*u - 38. Let v(s) = s**3 + 5*s**2 - 14*s + 19. Let z(c) = 2*b(c) + 5*v(c). Let f be z(-7). Solve 10*w - 5*w - f = 0 for w.
1
Let k(a) = -a - 1. Let x(j) = -21*j - 21. Let s(y) = 2*k(y) + x(y). Let b be s(-2). Solve -19 = v - b for v.
4
Suppose -5*r - 2*c - 307 + 1037 = 0, 0 = 4*r - 2*c - 584. Solve 157*h - r*h = 0 for h.
0
Suppose -6*a + 84 - 12 = 0. Suppose 8*u + 319 = a*u + p, -5*u - p = -398. Solve g - 75 = -u for g.
-4
Let r be (5 + -1)*168/(-224). Let c(x) = 2*x + 10. Let m be c(r). Solve -m = -4*v - 20 for v.
-4
Let j = -12665 - -12727. Solve -j*x - 88 = -84*x for x.
4
Let y(j) = -j**3 - 12*j**2 - 10*j + 14. Let r be y(-11). Suppose 3*f + 0*o - 25 = 4*o, f + r*o + 9 = 0. Solve -f*n - 1 = -2*n for n.
-1
Suppose -292*p + 295*p - 18 = 0, -24 = 2*f - 4*p. Solve -10*a + 5 + 45 = f for a.
5
Suppose -4*c - 70 = -2*n, 6*n + 4 = 2*n. Let l be 16/96 + (-231)/c. Solve -7*w + l*w = 30 for w.
5
Suppose -31*u - 35*u + 59*u = -28. Let d(x) = -x**3 + 3*x**2 + 2*x - 1. Let q be d(2). Let l = q - 4. Solve 0 = l*f - u*f for f.
0
Suppose -66*t + 908 = -2015 + 151. Solve 90*r = 97*r - t for r.
6
Suppose -4*v = 4*n - 7*n - 225, -4*v = 4*n + 300. Let a be ((-6)/10)/(15/n). Suppose 8*h - 7*h + 4*t = -20, a*t + 15 = -h. Solve -3*k = -h*k - 9 for k.
3
Let r(m) = -m**3 - 12*m**2 - 11*m - 12. Let b be r(-11). Let y be (3 - (-1245)/b) + 6/8. Let w be 10/(y/(-78)) - 1/(-5). Solve 5*i + w = -2 for i.
-2
Let x = 357 + 1227. Let y be 2/18 - x/(-324). Solve y + 0 = -s for s.
-5
Let l(c) = 2*c + 74. Let g be l(22). Suppose 2*r - 184 + 654 = 4*f, -f + r + g = 0. Let a = f - 117. Solve a*v = v for v.
0
Let a(n) = n**2 - 15*n - 15. Let z be a(16). Let i be 0/((-10)/5*(z + -2)). Solve i = 4*t - 2*t for t.
0
Let a = -152 - -471. Let u = a + -311. Solve -t = -u + 6 for t.
2
Let b = 2256 - 2123. Solve 0 = -7*o - 98 + b for o.
5
Let o be -2 + 2 + (1 - -7). Suppose -5*c = z + 74, -4*z - 201 = -0*c + c. Let v = 53 + z. Solve 0 = 2*l - v*l + o for l.
4
Let l(p) = 5*p + 16*p + 0*p**2 + p - 61 - 6*p - p**2. Let v be l(9). Solve -v*b = 6 - 14 for b.
4
Let u be (6/8 - (-21)/(-28))/1. Let c = -23 - -13. Let s = 12 + c. Solve u = 3*v + s*v for v.
0
Let r = 105 + -99. Suppose -r*a = a - 42. Solve a = 2*n + n for n.
2
Suppose 0 = 11*h - 2622 - 1206. Let m = h + -343. Solve -m*r + 9 = 4 for r.
1
Let x = -4913 - -5205. Solve 0 = -290*h + x*h + 2 for h.
-1
Let n be 0/(1 - 0/(-14)). Let f = 3 - -1. Suppose f*k + 16 = 8*k. Solve -l + k = -n for l.
4
Let c = 500 - 1235. Let q = -726 - c. Solve 9*d + 18 = -q for d.
-3
Let t = 26 + 44. Suppose -74*q = -t*q - 16. Solve 0 = 10*k - q*k - 6 for k.
1
Let q be -5*(3/5 - 1) + 3. Let m = q + 2. Suppose 23 = 4*w + m. Solve w*o - 2*o = -6 for o.
-3
Let j be ((-40)/15)/((-4)/288). Let p be (-4)/10 + j/80. Solve 0 = -7*i + p*i for i.
0
Let c be -5 + (10 - 8 - -3). Solve c = -6*n - 91 + 73 for n.
-3
Let m(o) = o**3 + 18*o**2 - 4. Let p be m(-18). Let x be p + 16/2 - (0 + -1). Solve x*a + 17 = 2 for a.
-3
Let z(t) = t**2 + 34*t - 94. Let x be z(-37). Suppose -12*c = x*c - 8*c. Solve -4*j = -c*j + 12 for j.
-3
Suppose 18*n = 14 + 40. Suppose 29 = 3*v - 5*m, n*m + 18 = 9*v - 7*v. Let p be 8*(1 + 0/(-3)). Solve s = -v*s - p for s.
-2
Let j = 1736 - 1731. Solve 10*a = -j*a + 15 for a.
1
Suppose 0 = -144*r + 147*r - 774. Let s = -252 + r. Solve s*c + 1 = -11 for c.
-2
Let m = 75 + -63. Let l(q) = -2*q**2 + 21*q + 41. Let u be l(m). Suppose 3*p + 2*d = 8 + u, p - 9 = -3*d. Solve -b + p*b - 8 = 0 for b.
4
Let t be -1*(-11 + 11)/3. Solve t = -186*u + 161*u for u.
0
Let d be -3*(-2)/(-3) - -4. Let f be d - 0 - 4/(-2). Let u = -618076 - -618076. Solve -a - a - f = u for a.
-2
Suppose -6*o + 42 = -3*l, 2*o + 0 = 5*l - 2. Solve 260*z + o = 263*z for z.
3
Let x = 12552 + -12552. Solve x = -57*k + 50*k - 14 for k.
-2
Suppose 0 = -m + s, s + 12 = 4*m - 0*s. Let c(l) = -7 + 1 + 37 - m*l. Let f be c(7). Solve -a = f*a + 4 for a.
-1
Suppose -47*t + 7*t = 8*t. Solve t = -137*w + 145*w + 32 for w.
-4
Suppose -5*v = u + 25 - 73, -5*v + 46 = 2*u. Let m be 7 + 30 - 3/((-6)/v). Solve 37*a = m*a - 10 for a.
2
Suppose -7*k + 1410 = 1207. Solve -56 - k = -17*f for f.
5
Let c(z) = 7*z**2 + 2*z + 6. Let a be 0 - 4/5*20/8. Let i be c(a). Let h be 664/i - ((-128)/(-60) + -2). Solve 4*y = h - 2 for y.
5
Let s(y) be the second derivative of -19*y**5/20 - y**3/6 - y**2/2 - 12*y. Let x be s(-1). Suppose -x*t - 15 = -24*t. Solve -z + t*z = -6 for z.
-3
Let d be (-1)/(-4) + 57/12. Let h be 34 + 6/(-2) + 1. Suppose -4*v = -4*u, -3*u + 11*v = 16*v - h. Solve -d*n = -3*n + u for n.
-2
Let g = 4708 + -4688. Suppose 3*t + t = 0. Solve -2*s - 3*s + g = t for s.
4
Let s = -70 + 118. Suppose 0*w = 6*w + s. Let k be -2 - -1 - (w + 3). Solve -l + 5*l = -k for l.
-1
Let m = 67 - 33. Let j = m + -32. Let t = 55 + -51. Solve -t*g = -j*g + 2 for g.
-1
Suppose 1 = f - 5*l + 24, 20 = 4*l. Let h be ((-2 + 3)*6)/f. Let w = -21 + 43. Solve 7 = h*z + w for z.
-5
Suppose -60*x - 1371 + 19 = -164*x. Solve 0 = x*f - 160 + 134 for f.
2
Let z(c) be the second derivative of 5*c**4/6 - 12*c. Let k be z(-1). Suppose a + y = 4*a - k, 4*a - 8 = 4*y. Solve -2 = -3*v + a for v.
2
Let d(h) be the second derivative of -7*h**3/2 - 101*h**2/2 - 99*h - 2. Let z be d(-5). Solve 2 = z*r + 14 for r.
-3
Suppose 2*l + 258 = -5*d, l + 664 = -4*l - 3*d. Let g = l + 137. Solve 0*f = -g*f for f.
0
Let v(b) = b**2 + 13*b + 78. Let f be v(-12). Solve 1279*a + f = 1301*a for a.
3
Let d(u) = u**2 - 13*u - 12. Let r be d(14). Suppose 3*f - r*x = 18, 2*f - 12 = -x - 3*x. Solve f*n + n = 0 for n.
0
Let w = 621 + -612. Solve -58 + 22 = w*l for l.
-4
Let t be ((-5860)/(-120))/((-3)/(-18)). Solve -57*m + t + 106 = 0 for m.
7
Suppose -1296 = 7*w + 356. Let y = -233 - w. Solve -y = u - 5 for u.
2
Let s = 1469 + -1469. Solve s = 17*m - 102 - 0 for m.
6
Suppose -2*r + 2*g + 4 = 2, 5*r + g + 1 = 0. Suppose r = 5*u - 2*b + 5*b - 29, -2*u + 14 = 2*b. Let y = -3 + 4. Solve -u = s - y for s.
-3
Let n(s) = -3*s + 210. Let r be n(4). Solve -335*p + 368*p = r for p.
6
Let j = -55 - -40. Let g be 1 + 0 - 15/j. Suppose -g*z + 11 = 7. Solve -d = z*d - 9 for d.
3
Suppose -i + 33 = j, 2*i = -i + j + 99. Let y = i + -29. Suppose 4*m = 3*m + y. Solve -2*k = -m*k - 6 for k.
-3
Suppose 4*j + 4 = 0, 0 = 15*z - 18*z - 3*j + 2172. Let t = -713 + z. Solve -2*k + 6*k = -t for k.
-3
Suppose -27 = -z - s + 5*s, 5*s + 25 = 0. Suppose z*g - 83 - 218 = 0. Solve g - 33 = 2*t for t.
5
Let g = -188 - -155. Let f be -4 + 3 + -1 - -41. Let r = f + g. Solve s - r = 3*s for s.
-3
Let t = -28382 - -28428. Let m(d) = d**3 - 5*d**2 + 5. Let u be m(5). Solve t = -u*n + 51 for n.
1
Suppose -12*h - 24*h = 109*h - 3*h. Solve h = 142*k - 152*k - 10 for k.
-1
Let s(l) = l**3 - 5*l + 7. Let z be s(-3). Let p be (-6)/z*(-265)/(-159). Solve 29 = p*o + 35 for o.
-3
Let y = 16350 + -16350. Solve 7*q - 36*q - 58 = y for q.
-2
Let f(l) = l**3 - 8*l**2 + 6*l + 6. Let p be f(7). Let n be 0*((-3)/p)/6. Solve n = -4*m - 16 - 4 for m.
-5
Suppose 29 = 19*n + 3 - 164. Solve 18 = -n*q + 48 for q.
3
Let l(i) = i + 17. Let h be l(-9). Let s = -12 + h. Let d be (s - (-12 - -4)) + -1. Solve m = d - 6 for m.
-3
Let i(o) = -13*o + 175. Let a be i(13). Suppose 19*m + a*m - 200 = 0. Solve 15 = m*d - 5*d for d.
5
Suppose -2*j - 2*j + 12 = 0. Suppose -4*y - 12 = -p, -j*p + 2 = 5*y - 0. Let x(m) = m**2 - 4*m + 4. Let c be x(4). Solve 0 = -c*i + 3*i - p for i.
-4
Suppose 0 = 8*s - 3*s - l - 188, -4*l + 8 = 0. Solve -17*o - 140 = -s for o.
-6
Suppose -53*b + 1662 - 284 = 0. Solve b = 16*p + 74 for p.
-3
Let x = -509 + 387. Let j = x + 130. Solve w = 5*w - j for w.
2
Let | {
"pile_set_name": "DM Mathematics"
} |
wwy when three letters picked without replacement from {w: 9, y: 11}?
11/95
What is prob of sequence olf when three letters picked without replacement from zkkkzzokqkqqklffoqkk?
1/1710
Two letters picked without replacement from qqajrqaqj. What is prob of sequence rq?
1/18
Two letters picked without replacement from ttkk. What is prob of sequence kt?
1/3
Four letters picked without replacement from {u: 2, w: 10}. Give prob of sequence wwuw.
4/33
Two letters picked without replacement from {z: 1, a: 2, y: 3, j: 6, s: 4, v: 4}. What is prob of sequence jj?
3/38
Calculate prob of sequence nly when three letters picked without replacement from {y: 2, c: 2, l: 1, n: 7, u: 4}.
1/240
Calculate prob of sequence nq when two letters picked without replacement from ppqppqn.
1/21
What is prob of sequence pp when two letters picked without replacement from {p: 2, n: 5}?
1/21
Four letters picked without replacement from {d: 2, t: 8, v: 4}. Give prob of sequence tdvd.
8/3003
Calculate prob of sequence al when two letters picked without replacement from {x: 1, e: 1, z: 3, a: 5, l: 1}.
1/22
Calculate prob of sequence jov when three letters picked without replacement from {j: 2, w: 1, o: 1, y: 4, v: 1}.
1/252
Two letters picked without replacement from {r: 14, i: 5}. What is prob of sequence ri?
35/171
Calculate prob of sequence azh when three letters picked without replacement from ezezeheazphhaea.
9/910
Four letters picked without replacement from {s: 1, h: 1, r: 1, p: 1, f: 2, c: 1}. Give prob of sequence fhcs.
1/420
What is prob of sequence rnch when four letters picked without replacement from {r: 2, c: 1, n: 1, h: 1}?
1/60
Calculate prob of sequence cc when two letters picked without replacement from crccccrcrcccrc.
45/91
Four letters picked without replacement from ojtttjddudxx. What is prob of sequence dxjj?
1/990
What is prob of sequence mqu when three letters picked without replacement from {u: 1, v: 3, w: 1, m: 4, o: 1, q: 2}?
1/165
Four letters picked without replacement from {j: 1, w: 6, g: 3, x: 4}. What is prob of sequence ggjx?
1/1001
Two letters picked without replacement from rrrgrvv. Give prob of sequence rv.
4/21
Four letters picked without replacement from {f: 1, v: 6, j: 1, h: 1}. Give prob of sequence jfvv.
5/504
What is prob of sequence uku when three letters picked without replacement from ukkuzzzuzkuu?
1/22
Four letters picked without replacement from eeohorheehoeo. Give prob of sequence eeeo.
2/143
What is prob of sequence sre when three letters picked without replacement from {s: 2, e: 2, r: 1, b: 4, o: 3, y: 2}?
1/546
Two letters picked without replacement from abtvttatvdaattt. Give prob of sequence tt.
1/5
Two letters picked without replacement from gggggg. What is prob of sequence gg?
1
Four letters picked without replacement from {u: 3, b: 2, d: 2, m: 1, h: 1, g: 3}. What is prob of sequence dggu?
1/330
What is prob of sequence gw when two letters picked without replacement from {w: 2, g: 11, h: 7}?
11/190
What is prob of sequence opop when four letters picked without replacement from oopppphoopoh?
10/297
Two letters picked without replacement from nchdlvd. What is prob of sequence dn?
1/21
Calculate prob of sequence rrzr when four letters picked without replacement from {r: 13, z: 5}.
143/1224
Two letters picked without replacement from dwmwdwjmdwjjmjmwjjw. Give prob of sequence jm.
4/57
Three letters picked without replacement from ggg. Give prob of sequence ggg.
1
Three letters picked without replacement from rqlrqbrrqjq. What is prob of sequence blq?
2/495
Calculate prob of sequence jj when two letters picked without replacement from llfjkfljljllklfklklk.
3/190
Calculate prob of sequence yyq when three letters picked without replacement from qllellqqyyyqyqy.
10/273
Calculate prob of sequence unns when four letters picked without replacement from {s: 2, u: 1, n: 2, x: 7}.
1/2970
Four letters picked without replacement from nhnhhhhhh. Give prob of sequence hnhn.
1/36
Two letters picked without replacement from qersa. What is prob of sequence es?
1/20
Calculate prob of sequence ga when two letters picked without replacement from {g: 2, a: 1}.
1/3
Two letters picked without replacement from gmyymgyzyyynym. What is prob of sequence gm?
3/91
Calculate prob of sequence ddxt when four letters picked without replacement from txddd.
1/20
Four letters picked without replacement from {h: 6, i: 2, v: 3, t: 8}. What is prob of sequence thvt?
7/646
What is prob of sequence gi when two letters picked without replacement from {r: 1, v: 2, i: 3, g: 6}?
3/22
Calculate prob of sequence ym when two letters picked without replacement from {y: 5, d: 2, w: 2, v: 4, m: 1}.
5/182
Three letters picked without replacement from ntntynytyttn. Give prob of sequence yyt.
1/44
Three letters picked without replacement from {o: 3, n: 3, k: 2, w: 5, u: 2}. Give prob of sequence wkw.
4/273
Four letters picked without replacement from {m: 5, a: 3, u: 2, c: 5, q: 4}. Give prob of sequence mqqc.
25/7752
What is prob of sequence eee when three letters picked without replacement from {e: 10}?
1
Calculate prob of sequence ziq when three letters picked without replacement from nfqzidqfqdiqfqzqn.
1/170
What is prob of sequence ttut when four letters picked without replacement from {t: 7, u: 1, k: 1, l: 6}?
1/156
What is prob of sequence vy when two letters picked without replacement from vhhkeeyf?
1/56
What is prob of sequence qqqq when four letters picked without replacement from {q: 9}?
1
Four letters picked without replacement from {n: 4, p: 3, j: 1, t: 3, e: 3, b: 2}. What is prob of sequence pbje?
3/7280
Three letters picked without replacement from {r: 1, i: 3}. What is prob of sequence rii?
1/4
Three letters picked without replacement from {n: 3, f: 1, k: 4, j: 5, l: 1, v: 3}. Give prob of sequence knk.
3/340
What is prob of sequence gg when two letters picked without replacement from {s: 1, x: 1, m: 2, g: 2}?
1/15
Three letters picked without replacement from rtuttut. Give prob of sequence tru.
4/105
Calculate prob of sequence rr when two letters picked without replacement from rrrrr.
1
Calculate prob of sequence tfy when three letters picked without replacement from yntfvnfvfvnvv.
1/572
Calculate prob of sequence jbr when three letters picked without replacement from buujjyjrjjjrljuj.
1/210
Two letters picked without replacement from {c: 3, h: 3}. Give prob of sequence cc.
1/5
Calculate prob of sequence sp when two letters picked without replacement from wsjlpwjln.
1/72
What is prob of sequence xxxx when four letters picked without replacement from {x: 10}?
1
Four letters picked without replacement from {d: 1, g: 2, f: 3, k: 3, u: 1, q: 1}. What is prob of sequence ugdq?
1/3960
Four letters picked without replacement from {z: 1, b: 9, o: 2, r: 1, t: 5}. What is prob of sequence trot?
1/1836
What is prob of sequence qt when two letters picked without replacement from {f: 1, t: 1, j: 1, r: 2, q: 1, e: 1}?
1/42
Four letters picked without replacement from {w: 6, a: 2}. What is prob of sequence wwww?
3/14
Three letters picked without replacement from tgjnmqm. What is prob of sequence qmt?
1/105
What is prob of sequence jqd when three letters picked without replacement from {f: 1, k: 1, q: 2, d: 1, e: 1, j: 2}?
1/84
Calculate prob of sequence micn when four letters picked without replacement from {m: 3, i: 1, c: 1, n: 4, o: 5}.
1/2002
Calculate prob of sequence qp when two letters picked without replacement from qxqqninqqp.
1/18
What is prob of sequence ewbi when four letters picked without replacement from {w: 2, e: 9, b: 4, i: 1}?
3/1820
Calculate prob of sequence jlos when four letters picked without replacement from {x: 1, s: 2, l: 2, k: 5, o: 2, j: 1}.
1/2145
Three letters picked without replacement from {l: 1, r: 5, y: 3, z: 1, h: 1, g: 3}. Give prob of sequence zrh.
5/2184
What is prob of sequence eqnq when four letters picked without replacement from {q: 2, y: 1, n: 7, e: 2, r: 6}?
7/18360
Four letters picked without replacement from {q: 6, w: 4, r: 4}. Give prob of sequence wwrw.
4/1001
Three letters picked without replacement from gqmugguugmjpqup. Give prob of sequence ppg.
4/1365
What is prob of sequence gii when three letters picked without replacem | {
"pile_set_name": "DM Mathematics"
} |
ose 0 = t - 5*t + 32. What is the remainder when t is divided by 5*(i + (4 - -1))?
3
Let o(p) = p**2 + 16*p + 2. Let x be o(-16). Suppose 19 = w - 3*q, 7*w - x*w - 55 = 5*q. What is the remainder when 19 is divided by w?
5
Suppose -14*q + 208 = 2*q. Suppose 180 = -9*m + q*m. What is the remainder when m is divided by 16?
13
Suppose 0 = 3*y - 5 - 25. Calculate the remainder when y - -1*(-8)/(-4) is divided by 7.
5
What is the remainder when -5 + (-2)/(-4)*(1623 - -25) is divided by 41?
40
Suppose 147 - 815 = -2*j. What is the remainder when j is divided by 67?
66
Suppose -9*b = -8*b. Suppose 0 = -b*a - 2*a + 80. Let r = a + -19. Calculate the remainder when r is divided by 6.
3
Let a = 247 - 240. Calculate the remainder when 123 is divided by a.
4
Suppose 7*j - 25737 = -16*j. Calculate the remainder when j is divided by 40.
39
Calculate the remainder when (-340)/25*(-11 + 6) + -2 is divided by 2/(-7) + 121/7.
15
Let u(l) = l**3 - 3*l**2 + 5*l + 6. Let s = -23 - -32. What is the remainder when u(4) is divided by s?
6
Let i = 21 + -13. Let a(h) = -h**2 + 20*h + 98. Let g be a(24). Suppose -g*s + 10 = 4. Calculate the remainder when i is divided by s.
2
Let w(u) = -2*u**2 + 84*u + 21. Calculate the remainder when w(39) is divided by 88.
79
Suppose 14*a = 11*a - i + 667, 4 = i. Calculate the remainder when a is divided by 62.
35
Calculate the remainder when 16 is divided by 15 - -3 - (1 + 4).
3
Suppose 3*o - 5*o = -62. Suppose 4*x - 57 = o. Suppose x = u - c, 0 = -c - 6 + 2. Calculate the remainder when u is divided by 10.
8
Let u = 131 - 118. Calculate the remainder when 70 is divided by u.
5
Suppose -3*a + 6 = -0*a. Let r be (4 + -16)*a/(-3). What is the remainder when 132/(r + -4) - -3 is divided by 13?
10
Suppose -5*b + 15 + 5 = 0. Suppose -4*d = -q, b*d = 3*q - 4*q + 32. Calculate the remainder when 77 is divided by q.
13
Let l(i) = -i + 1. Let z be l(-1). Calculate the remainder when 56 is divided by -2 + z + -1 - (-20 - -7).
8
Let l be 1/(-2) + 25/2. Let u = -37 + 22. Let c = l - u. Calculate the remainder when 80 is divided by c.
26
Suppose 0 = 2*r - r + 3, -3*r = -3*c + 63. Suppose -23*j + c*j = -135. Calculate the remainder when 107 is divided by j.
26
Suppose -r + 421 = -13*n + 15*n, -r = -n - 412. Calculate the remainder when r is divided by 26.
25
Let d be 18/(2*(-1 + 2))*39. Suppose d = 5*s + 4*s. Calculate the remainder when 154 is divided by s.
37
Suppose 48 = -3*z - 3*n, -7 = z - 5*n + 3. Let b(w) = w**3 + 16*w**2 + 14*w + 2. What is the remainder when b(z) is divided by 8?
1
Suppose -2*j + 5*n = -0*j - 34, 68 = 4*j - 5*n. Calculate the remainder when 66 is divided by j.
15
Let v(f) = 2*f - 1 + 6*f + 4 - f. Let r be v(5). Let b = r + -19. Calculate the remainder when 35 is divided by b.
16
Suppose -57 = -7*r + 6*r. Let h = r + 83. Calculate the remainder when h is divided by 29.
24
Suppose 33 = 8*s - 71. Calculate the remainder when (-2)/(-17) - ((-744)/34 + -3) is divided by s.
12
Let l = -181 + 96. Let v = -9 - l. What is the remainder when v is divided by 26?
24
Let n = 68 - 46. Let f(k) = 4*k**3 - 4*k**2 + 4*k. Calculate the remainder when f(3) is divided by n.
18
Suppose -3*m + 6 = -4*k, -4*k + 4 = 10*m - 8*m. Suppose -5*n + 13 + 27 = k. What is the remainder when n is divided by 3?
2
Let p(n) = n**3 - 6*n**2 - 5*n. Let x be p(7). Let y be ((-30)/45)/((-2)/15). Suppose -y*d = -x - 61. What is the remainder when d is divided by 8?
7
Let l be (-16 + -2)/((-4)/(-6)). Let n = l - -61. What is the remainder when 64 is divided by n?
30
Let x(p) = p**2 - 8*p + 7. Let u be x(6). Let k(d) = -14*d - 25. Calculate the remainder when k(u) is divided by 6.
3
Let l = -110 - -113. Suppose -2*v + 16 = -5*y, y + l*y - 4 = -4*v. What is the remainder when 13 is divided by v?
1
Suppose 5*f - 520 = 4*n, -2*f + 3*n + 140 = -75. Let z = -58 + f. Calculate the remainder when 167 is divided by z.
41
Let f(t) = t**2 + 26*t + 247. Calculate the remainder when f(-12) is divided by 26.
1
Let l = -7 + 6. Let m be (-2)/(4/2)*-25. Let w = m + l. What is the remainder when 93 is divided by w?
21
Let y = -10 + 14. Let h(k) = -4*k**2 + 4*k**2 + 5*k - k**2 + 0*k. What is the remainder when 14 is divided by h(y)?
2
Let t = 19 + -16. Let o = -8 + -4. What is the remainder when (-27)/o + 6/8 is divided by t?
0
Let j(h) = -2*h**2 - 4*h + 3. Let a be j(-3). Calculate the remainder when 26 is divided by (-84)/(-6) + (a - 1).
6
Suppose n + 181 = -m + 1284, 2*n - 2198 = -4*m. What is the remainder when 4/14 - n/(-21) is divided by 27?
26
Calculate the remainder when 113 is divided by -18*(66/(-18) + (-15)/(-9)).
5
Let q = 104 - 95. Calculate the remainder when 20 is divided by q.
2
Let s(k) = -19*k + 125. What is the remainder when 69 is divided by s(5)?
9
Let f(v) = v**2 + 12*v + 5. Let m be (12/(-15))/(3/45). Let b(x) = 2*x + 3. Calculate the remainder when b(2) is divided by f(m).
2
Suppose -781 - 69 = -25*i. Calculate the remainder when 80 is divided by i.
12
Let s = -2 - -13. Suppose -12 = 3*v + 30. Calculate the remainder when (v/(-4))/((-4)/(-48)) is divided by s.
9
Let d = -2 + 10. Let u = 120 - 14. Suppose -u*k = -111*k + 110. What is the remainder when k is divided by d?
6
Let i be 713/(-69) + (-2)/(-6). What is the remainder when (-36)/i - 8/(-20) is divided by 2?
0
Suppose 5*b = -5*d - 10, 2*b + 5*d + 4 = 3. What is the remainder when b*(5 - 64/3) is divided by 17?
15
Let w = 1 + -1. Suppose w = 4*m - 12, 2*m - 56 = 2*o - 7*o. What is the remainder when (7 + -8)/(3/111*-1) is divided by o?
7
Suppose -5*x + 4*m + 301 + 30 = 0, m + 67 = x. Suppose 0 = -5*u + 15, -2*s + s = -u - 30. What is the remainder when x is divided by s?
30
Let p(l) = 12*l + 507. Calculate the remainder when p(15) is divided by 13.
11
Let h = -1393 + 1407. What is the remainder when 153 is divided by h?
13
Suppose -5*t + 46 = -3*t + 4*h, t - 38 = -5*h. Suppose 157 + 287 = 3*g. Suppose -g = -0*z - 4*z. What is the remainder when z is divided by t?
11
What is the remainder when (266/21 + 0)/(5/615) is divided by 71?
67
Let m be 10/50 + ((-1924)/(-10))/(-2). Let r = m + 115. What is the remainder when 32/(-6)*21/(-2) is divided by r?
18
Calculate the remainder when (-1 - -45)/(11 + 126/(-12)) is divided by 15.
13
Suppose 30 = -4*n + 30. Suppose -4*a + 125 + 27 = n. What is the remainder when a is divided by 8?
6
Suppose 68*d - 76 = 64*d. Calculate the remainder when d is divided by (9/(-6))/((-3)/16).
3
Suppose -4*t - 171 = 2*y - 1211, 0 = 3*y. Calculate the remainder when t is divided by 87.
86
Let f = -1 - -5. What is the remainder when f is divided by (-6)/15*(-6 + 1)?
0
Suppose -2*f - 2*f - 4*z + 340 = 0, -2*f + 2*z + 190 = 0. Calculate the remainder when 99 is divided by f.
9
Suppose -1164 - 460 = -5*w - 4*k, -4*w - 6*k = -1302. Calculate the remainder when w is divided by 21.
9
Let t(q) = -q**3 + 12*q**2 + 11*q + 29. Let r be t(13). Suppose -r*i + 80 = i. Calculate the remainder when 117 is divided by i.
17
Let t(l) = -22*l - 139. Calculate the remainder when t(-16) is divided by 29.
10
Let b = 3 + -1. Suppose -b*i + 40 = 2*i. Let o(q) = -q**3 + 10*q**2 + 2*q - 10. What is the remainder when 27 is divided by o(i)?
7
Let y = -1997 + 2002. Suppose j + 5*w - 19 = 0, -j - 5*w + 37 = 2*j. What is the remainder when j is divided by y?
4
What is the remainder when (600/(-32))/(2 + (-82)/40) is divided by 42?
39
Suppose 42*g - 208 = 34*g. Calculate the remainder when 43 is divided by g.
17
Let o(x) be the second derivative of -x**4/12 - 3*x**3/2 + 8*x**2 + 11*x. Calculate the remainder when 117 is divided by o(-8).
21
Let h = 6 + 1. Calculate the remainder when (-280)/1820 - (-327)/13 is divided by h.
4
Suppose 761 - 5 = 6*w. Calculate the remainder when w is divided by 19.
12
Let d(g) = -g**3 - 5*g**2 + 3*g + 11. Let b = 20 + -26. Calculate the remainder when 86 is divided by d(b).
28
Let g(m) = -m**3 + 11*m**2 - 13*m - 12. What is the remainder when -1*28*(-8 - -1) is divided by g(9)?
31
Let c(r) = 13*r - 4. Let x be c(3). Suppose 250 = 19*q - x. Calculate the remainder when 27 is divided by q.
12
Let w = 50 + -22. Let y = 51 - w. What is the remainder when 67 is divided by y?
21
Suppose -3*j = 12, 4*x + 6*j - 9*j = 448. Calculate the remainder when 313 is divided by x.
95
Suppose 0 = | {
"pile_set_name": "DM Mathematics"
} |
re the prime factors of 389?
389
List the prime factors of 55694.
2, 27847
List the prime factors of 1167.
3, 389
List the prime factors of 3431.
47, 73
What are the prime factors of 1856?
2, 29
List the prime factors of 1914.
2, 3, 11, 29
What are the prime factors of 78523?
17, 31, 149
What are the prime factors of 1458?
2, 3
List the prime factors of 3009.
3, 17, 59
What are the prime factors of 2083?
2083
List the prime factors of 355.
5, 71
List the prime factors of 9944.
2, 11, 113
What are the prime factors of 1432?
2, 179
What are the prime factors of 5539?
29, 191
What are the prime factors of 934?
2, 467
What are the prime factors of 75290?
2, 5, 7529
What are the prime factors of 388?
2, 97
List the prime factors of 274.
2, 137
List the prime factors of 1513.
17, 89
What are the prime factors of 787?
787
What are the prime factors of 90?
2, 3, 5
What are the prime factors of 8576?
2, 67
List the prime factors of 234.
2, 3, 13
What are the prime factors of 917?
7, 131
List the prime factors of 16976.
2, 1061
List the prime factors of 2662.
2, 11
List the prime factors of 3757.
13, 17
What are the prime factors of 1559?
1559
List the prime factors of 31348.
2, 17, 461
What are the prime factors of 4178?
2, 2089
List the prime factors of 12891.
3, 4297
What are the prime factors of 14745?
3, 5, 983
List the prime factors of 3134.
2, 1567
List the prime factors of 25116.
2, 3, 7, 13, 23
List the prime factors of 7743.
3, 29, 89
List the prime factors of 17831.
11, 1621
What are the prime factors of 1546?
2, 773
List the prime factors of 3463.
3463
List the prime factors of 1311.
3, 19, 23
What are the prime factors of 162135?
3, 5, 1201
List the prime factors of 477.
3, 53
What are the prime factors of 2874?
2, 3, 479
List the prime factors of 25377.
3, 11, 769
What are the prime factors of 4765?
5, 953
List the prime factors of 3400.
2, 5, 17
List the prime factors of 1166.
2, 11, 53
What are the prime factors of 16404?
2, 3, 1367
List the prime factors of 36839.
11, 17, 197
What are the prime factors of 199?
199
What are the prime factors of 37782?
2, 3, 2099
What are the prime factors of 590?
2, 5, 59
What are the prime factors of 119533?
119533
List the prime factors of 16225.
5, 11, 59
List the prime factors of 1843.
19, 97
What are the prime factors of 48128?
2, 47
What are the prime factors of 5491?
17, 19
What are the prime factors of 455?
5, 7, 13
What are the prime factors of 2305?
5, 461
List the prime factors of 3660.
2, 3, 5, 61
List the prime factors of 3988.
2, 997
List the prime factors of 777.
3, 7, 37
What are the prime factors of 3300?
2, 3, 5, 11
List the prime factors of 81101.
81101
What are the prime factors of 93013?
47, 1979
List the prime factors of 98327.
98327
List the prime factors of 4730.
2, 5, 11, 43
List the prime factors of 2162.
2, 23, 47
What are the prime factors of 12188?
2, 11, 277
List the prime factors of 58322.
2, 11, 241
What are the prime factors of 2076?
2, 3, 173
What are the prime factors of 1078?
2, 7, 11
List the prime factors of 49516.
2, 12379
What are the prime factors of 33989?
41, 829
List the prime factors of 4900.
2, 5, 7
List the prime factors of 1476.
2, 3, 41
What are the prime factors of 21835?
5, 11, 397
What are the prime factors of 1958?
2, 11, 89
List the prime factors of 7134.
2, 3, 29, 41
List the prime factors of 86.
2, 43
List the prime factors of 734.
2, 367
List the prime factors of 112016.
2, 7001
List the prime factors of 7847.
7, 19, 59
What are the prime factors of 3555?
3, 5, 79
List the prime factors of 8648.
2, 23, 47
List the prime factors of 962.
2, 13, 37
What are the prime factors of 31742?
2, 59, 269
List the prime factors of 7280.
2, 5, 7, 13
List the prime factors of 3642.
2, 3, 607
What are the prime factors of 1852?
2, 463
What are the prime factors of 5610?
2, 3, 5, 11, 17
List the prime factors of 132659.
53, 2503
List the prime factors of 10729.
10729
List the prime factors of 590.
2, 5, 59
What are the prime factors of 23457?
3, 7, 1117
What are the prime factors of 4185?
3, 5, 31
What are the prime factors of 189?
3, 7
List the prime factors of 143008.
2, 41, 109
List the prime factors of 9085.
5, 23, 79
What are the prime factors of 2981?
11, 271
What are the prime factors of 4201?
4201
What are the prime factors of 59907?
3, 19, 1051
What are the prime factors of 4521?
3, 11, 137
List the prime factors of 42.
2, 3, 7
What are the prime factors of 900?
2, 3, 5
List the prime factors of 3103.
29, 107
What are the prime factors of 1097?
1097
List the prime factors of 18433.
18433
What are the prime factors of 13104?
2, 3, 7, 13
List the prime factors of 7514.
2, 13, 17
What are the prime factors of 1578?
2, 3, 263
What are the prime factors of 681?
3, 227
What are the prime factors of 1369?
37
What are the prime factors of 228?
2, 3, 19
List the prime factors of 12029.
23, 523
List the prime factors of 513.
3, 19
What are the prime factors of 13892?
2, 23, 151
What are the prime factors of 4973?
4973
What are the prime factors of 5601?
3, 1867
What are the prime factors of 1033?
1033
What are the prime factors of 1367?
1367
What are the prime factors of 24152?
2, 3019
What are the prime factors of 1955?
5, 17, 23
What are the prime factors of 552?
2, 3, 23
List the prime factors of 865.
5, 173
List the prime factors of 1253.
7, 179
What are the prime factors of 11540?
2, 5, 577
List the prime factors of 655.
5, 131
List the prime factors of 16810.
2, 5, 41
List the prime factors of 26188.
2, 6547
What are the prime factors of 7225?
5, 17
List the prime factors of 27339.
3, 13, 701
List the prime factors of 1299.
3, 433
List the prime factors of 1646.
2, 823
What are the prime factors of 27417?
3, 13, 19, 37
List the prime factors of 492.
2, 3, 41
List the prime factors of 23326.
2, 107, 109
What are the prime factors of 7487?
7487
List the prime factors of 179890.
2, 5, 17989
List the prime factors of 642.
2, 3, 107
List the prime factors of 70885.
5, 14177
List the prime factors of 773.
773
What are the prime factors of 56996?
2, 14249
What are the prime factors of 145118?
2, 72559
What are the prime factors of 43420?
2, 5, 13, 167
List the prime factors of 311.
311
What are the prime factors of 13344?
2, 3, 139
What are the prime factors of 20632?
2, 2579
What are the prime factors of 84044?
2, 21011
List the prime factors of 70552.
2, 8819
What are the prime factors of 17692?
2, 4423
List the prime factors of 47742.
2, 3, 73, 109
What are the prime factors of 34952?
2, 17, 257
List the prime factors of 3970.
2, 5, 397
List the prime factors of 1772.
2, 443
List the prime factors of 1252.
2, 313
What are the prime factors of 3913?
7, 13, 43
What are the prime factors of 2833?
2833
What are the prime factors of 925?
5, 37
What are the prime factors of 41388?
2, 3, 3449
What are the prime factors of 20957?
19, 1103
List the prime factors of 2644.
2, 661
What are the prime factors of 1986?
2, 3, 331
What are the prime factors of 22285?
5, 4457
List the prime factors of 12313.
7, 1759
List the prime factors of 8178.
2, 3, 29, 47
What are the prime factors of 4319?
7, 617
What are the prime factors of 119055?
3, 5, 7937
What are the prime factors of 1791?
3, 199
List the prime factors of 231.
3, 7, 11
What are the prime factors of 945?
3, 5, 7
List the prime factors of 4808.
2, 601
List the prime factors of 150.
2, 3, 5
List the prime factors of 60720.
2, 3, 5, 11, 23
List the prime factors of 26511.
3, 8837
List the prime factors of 207.
3, 23
List the prime factors of 322.
2, 7, 23
What are the prime factors of 67769?
13, 401
What are the prime factors of 88960?
2, 5, 139
What are the prime factors of 4813?
4813
What are the prime factors of 23346?
2, 3, 1297
What are the prime factors of 33347?
33347
List the prime factors of 6614.
2, 3307
What are the prime factors of 3200?
2, 5
List the prime factors of 4142.
2, 19, 109
List the prime factors of 960.
2, 3, 5
What are the prime factors of 20180?
2, 5, 1009
List the prime factors of 9028.
2, 37, 61
What are the prime factors of 409?
409
What are the prime factors of 3156?
2, 3, 263
What are the prime factors of 278?
2, 139
List the prime factors of 430.
2, 5, 43
What are the prime factors of 8 | {
"pile_set_name": "DM Mathematics"
} |
211l?
882.11
How many hours are there in twelve sevenths of a week?
288
How many grams are there in 995.6488mg?
0.9956488
What is six fifths of a hour in seconds?
4320
What is fifty-four fifths of a gram in milligrams?
10800
How many millilitres are there in thirteen fifths of a litre?
2600
How many kilograms are there in seven eighths of a tonne?
875
Convert 0.7473308 millilitres to litres.
0.0007473308
What is 4415.053um in kilometers?
0.000004415053
What is 1/4 of a day in hours?
6
What is 17/2 of a litre in millilitres?
8500
What is 21/5 of a centimeter in micrometers?
42000
What is twenty-seven quarters of a meter in millimeters?
6750
What is 3/10 of a litre in millilitres?
300
Convert 62731.06 weeks to seconds.
37939745088
How many centimeters are there in 4.924707um?
0.0004924707
How many micrometers are there in 1/4 of a millimeter?
250
Convert 816846.9 millennia to months.
9802162800
How many millilitres are there in one tenth of a litre?
100
How many decades are there in 0.0345757 years?
0.00345757
Convert 120.1287s to minutes.
2.002145
How many centuries are there in 0.7788659 millennia?
7.788659
How many centuries are there in 37906.55 years?
379.0655
How many microseconds are there in twenty-one halves of a millisecond?
10500
Convert 85398.32 hours to milliseconds.
307433952000
What is 935145.5l in millilitres?
935145500
Convert 140950.1km to meters.
140950100
How many grams are there in 45/2 of a kilogram?
22500
What is twenty-two ninths of a day in minutes?
3520
How many kilograms are there in 8338.86t?
8338860
Convert 6.347002l to millilitres.
6347.002
What is 1/100 of a millimeter in nanometers?
10000
How many months are there in 45/4 of a decade?
1350
What is 1/5 of a second in milliseconds?
200
Convert 4079.477 decades to millennia.
40.79477
How many microseconds are there in seventeen halves of a millisecond?
8500
What is 2/15 of a minute in milliseconds?
8000
What is 76.20974 centimeters in millimeters?
762.0974
What is 93.32102 millilitres in litres?
0.09332102
What is 6/5 of a litre in millilitres?
1200
What is 89112.12 decades in years?
891121.2
Convert 0.9926014 millilitres to litres.
0.0009926014
How many minutes are there in 2/105 of a week?
192
How many kilograms are there in 700664.7 grams?
700.6647
How many months are there in 11/2 of a millennium?
66000
How many millimeters are there in one tenth of a kilometer?
100000
What is 5.126313 milliseconds in seconds?
0.005126313
How many micrograms are there in 1506.26t?
1506260000000000
How many millimeters are there in thirty-seven halves of a meter?
18500
How many micrograms are there in 2.080794 nanograms?
0.002080794
How many millilitres are there in 61/4 of a litre?
15250
How many months are there in 0.8388157 years?
10.0657884
How many millilitres are there in twenty-seven quarters of a litre?
6750
What is 546972.6 litres in millilitres?
546972600
Convert 0.9826939mm to nanometers.
982693.9
How many litres are there in 0.4023202 millilitres?
0.0004023202
How many seconds are there in 129865.5ns?
0.0001298655
How many millilitres are there in 21/2 of a litre?
10500
How many years are there in sixty-nine halves of a millennium?
34500
Convert 940.1306ml to litres.
0.9401306
What is 3/40 of a gram in milligrams?
75
How many months are there in 25/8 of a century?
3750
How many micrometers are there in three sixteenths of a centimeter?
1875
What is 1/4 of a century in years?
25
What is 0.7370956 minutes in milliseconds?
44225.736
What is 818316.5g in kilograms?
818.3165
How many decades are there in six fifths of a century?
12
What is 146.9332nm in kilometers?
0.0000000001469332
What is 7/2 of a second in milliseconds?
3500
Convert 3.913032 millilitres to litres.
0.003913032
How many months are there in 3.54298 centuries?
4251.576
How many minutes are there in thirty-one fifths of a hour?
372
How many nanometers are there in 6238.149 meters?
6238149000000
How many millilitres are there in one tenth of a litre?
100
What is 6/25 of a centimeter in micrometers?
2400
Convert 4.46576ml to litres.
0.00446576
Convert 618.9736 litres to millilitres.
618973.6
What is 391082.4 years in decades?
39108.24
What is 665705.97 minutes in days?
462.2958125
How many millennia are there in 1896.534 months?
0.1580445
How many litres are there in 27446.71ml?
27.44671
How many months are there in one sixth of a millennium?
2000
What is 321.6581 meters in centimeters?
32165.81
How many micrograms are there in three tenths of a milligram?
300
How many nanograms are there in 11/4 of a microgram?
2750
What is thirteen quarters of a litre in millilitres?
3250
Convert 107.9682 meters to micrometers.
107968200
What is 949.6642kg in grams?
949664.2
What is 11/4 of a micrometer in nanometers?
2750
How many years are there in 1.567521 millennia?
1567.521
How many milligrams are there in one sixteenth of a kilogram?
62500
What is 6/5 of a centimeter in millimeters?
12
What is 179.7691266 milliseconds in weeks?
0.0000002972373125
What is 3/25 of a meter in millimeters?
120
How many millilitres are there in 3642.801 litres?
3642801
How many kilometers are there in 0.1937402mm?
0.0000001937402
What is 28722.1 centimeters in meters?
287.221
How many nanoseconds are there in 285066.8 weeks?
172408400640000000000
How many microseconds are there in 77582.37 days?
6703116768000000
What is 53/5 of a microsecond in nanoseconds?
10600
What is 7.83767l in millilitres?
7837.67
How many kilograms are there in 49943.16 micrograms?
0.00004994316
What is one quarter of a kilogram in grams?
250
Convert 3.430938l to millilitres.
3430.938
How many kilometers are there in 3693.612cm?
0.03693612
What is thirteen fifths of a microgram in nanograms?
2600
Convert 208843.02 minutes to hours.
3480.717
How many milliseconds are there in 7.0028 hours?
25210080
How many nanometers are there in 21/8 of a micrometer?
2625
How many millilitres are there in nine tenths of a litre?
900
What is thirty-two fifths of a litre in millilitres?
6400
How many nanograms are there in twenty-nine halves of a microgram?
14500
How many millennia are there in 294848.8 years?
294.8488
How many seconds are there in 9/10 of a day?
77760
How many micrograms are there in 27/4 of a milligram?
6750
What is four thirds of a hour in seconds?
4800
What is 1/5 of a microgram in nanograms?
200
What is 1/45 of a hour in milliseconds?
80000
How many millilitres are there in 1623.13 litres?
1623130
How many kilograms are there in 4675.455ng?
0.000000004675455
How many millilitres are there in 444.704l?
444704
What is eight fifteenths of a century in months?
640
What is 572.0836ug in nanograms?
572083.6
What is one fifth of a century in years?
20
How many hours are there in 58/3 of a week?
3248
How many micrometers are there in twenty-nine fifths of a centimeter?
58000
Convert 68.5087ns to milliseconds.
0.0000685087
What is 15332.004 months in centuries?
12.77667
What is 27/5 of a litre in millilitres?
5400
What is thirty-one halves of a micrometer in nanometers?
15500
What is one sixth of a millennium in months?
2000
What is 237.2 microseconds in milliseconds?
0.2372
What is 0.486488 kilometers in meters?
486.488
How many months are there in sixty-seven fifths of a century?
16080
What is 21/5 of a microgram in nanograms?
4200
What is fourty-five eighths of a millennium in months?
67500
How many years are there in 12/25 of a millennium?
480
What is one tenth of a millennium in years?
100
What is 0.1259961ug in tonnes?
0.0000000000001259961
How many months are there in 3.201987 years?
38.423844
What is 5/4 of a millimeter in micrometers?
1250
What is 68/9 of a day in minutes?
10880
How many meters are there in five quarters of a kilometer?
1250
What is 0.634043cm in nanometers?
6340430
How many months are there in thirty-one halves of a century?
18600
How many litres are there in 0.2979 millilitres?
0.0002979
What is 21/8 of a litre in millilitres?
2625
How many milligrams are there in 11/4 of a gram?
2750
How many decades are there in 3/10 of a century?
3
What is 5288.021 nanoseconds in microseconds?
5.288021
What is 177764.5 hours in minutes?
10665870
What is seven thirds of a hour in minutes?
140
What is 1/4 of a kilogram in grams?
250
What is 5/4 of a centu | {
"pile_set_name": "DM Mathematics"
} |
Do 2533/2 and 1267 have the same value?
False
Which is bigger: -270221 or -270223?
-270221
Is 673804 >= 673803?
True
Is 5.7 greater than or equal to 1795?
False
Is 126207 >= 126209?
False
Which is smaller: 11781 or 1/16?
1/16
Is -841 at least 2?
False
Which is smaller: -0.0587 or -2/717?
-0.0587
Which is smaller: 10/2167 or -0.116?
-0.116
Is -1 bigger than 1/389097?
False
Which is bigger: 0 or 9/197911?
9/197911
Is -3734 != -3723?
True
Which is smaller: -190/39 or 1/6?
-190/39
Is -12 less than or equal to 132222?
True
Which is smaller: -9580 or -9544?
-9580
Is 1/5 >= 2/273091?
True
Which is greater: -0.2 or 6964?
6964
Is 5941 at least as big as 5945?
False
Is -3/55 greater than or equal to -1531?
True
Is -31011 smaller than -31042?
False
Which is smaller: -57817 or -57819?
-57819
Which is smaller: -961 or -2032?
-2032
Which is greater: -2502 or -1385?
-1385
Is 1641/343 bigger than 5?
False
Which is bigger: 0 or -1/69583?
0
Is 101371 bigger than 101368?
True
Is 0.2 bigger than 35/42614?
True
Is 1 >= 344/5069?
True
Is 194 > 90?
True
Which is bigger: 1484 or 10382/7?
1484
Which is bigger: 3/112 or -800?
3/112
Which is smaller: 23102/185 or 124?
124
Is 30981 smaller than 30983?
True
Which is greater: 1714 or 1766?
1766
Which is greater: 802 or 25695/32?
25695/32
Does -145850 = -145849?
False
Is 99569 > 99570?
False
Are 9243 and 9245 equal?
False
Is -44306 smaller than -44303?
True
Which is smaller: 22651 or -4?
-4
Which is greater: 0 or -763/521?
0
Which is bigger: 30210 or 120835/4?
30210
Is 84/73223 not equal to 0?
True
Which is greater: -269167 or -269177?
-269167
Which is bigger: 3216/37 or 86?
3216/37
Which is greater: -54157 or -54156?
-54156
Is -464 greater than 6?
False
Is -2451 at least as big as -2451?
True
Which is greater: -1 or 1/77823?
1/77823
Which is smaller: -50 or 512?
-50
Is 78766/3 at least as big as 26255?
True
Is -25/1921 less than -1?
False
Which is bigger: 1008/5105 or -1?
1008/5105
Which is smaller: 1982325 or 3?
3
Are 0 and 11/50665 unequal?
True
Which is greater: 868 or -17?
868
Are 2/10730049 and 0 non-equal?
True
Which is smaller: -6127/674 or -9?
-6127/674
Which is bigger: -41 or -1283?
-41
Which is bigger: 40 or 15985/404?
40
Which is smaller: -47617 or -619024/13?
-619024/13
Is -203037 at least -203034?
False
Is 0 at least as big as 337/326?
False
Is 52/789 equal to 1?
False
Do 9012/29 and 312 have different values?
True
Do 0.057 and 295 have the same value?
False
Which is greater: -75799 or -75800?
-75799
Which is bigger: -0.14 or 3410?
3410
Which is smaller: 5/5931676 or -1?
-1
Is -1 less than 5/837577?
True
Is -29/132773 smaller than -1?
False
Which is greater: 2/69 or 4339?
4339
Is 20312 > 20322?
False
Is -1 > -4/65035?
False
Are -907 and -838 unequal?
True
Is 86089 smaller than 86089?
False
Is 3 bigger than 2116/1203?
True
Which is greater: 13716990 or 0?
13716990
Which is smaller: 120307/4 or 30077?
120307/4
Is -153635 greater than or equal to -153635?
True
Is -1 less than or equal to -62625/11?
False
Is -1/12 at most as big as -155.606?
False
Which is smaller: -20/474489 or 1?
-20/474489
Is 1548509 <= 1548509?
True
Which is smaller: 497 or 7?
7
Which is greater: -374227 or -374225?
-374225
Does 2547483 = 2547483?
True
Which is bigger: -36/86125 or 1?
1
Which is smaller: -1831 or -129972/71?
-1831
Which is smaller: 1749483 or 1749482?
1749482
Do 111255/8 and 13907 have the same value?
False
Which is smaller: -15/9899 or 1?
-15/9899
Is 0.1 < 14348579?
True
Is 59025 at most as big as 59025?
True
Which is smaller: 55544 or 388818/7?
55544
Is 3410 less than 3662?
True
Which is smaller: -73.0472 or 1/3?
-73.0472
Is 2 equal to 0.573?
False
Which is smaller: 22684 or 22685?
22684
Is 5470790 bigger than 5470790?
False
Is -9/690148 >= 1?
False
Are 1909 and 1943 non-equal?
True
Do -2512.1 and 4 have the same value?
False
Is 37440 equal to 112316/3?
False
Which is bigger: 1569 or -0.004?
1569
Which is smaller: 3 or -156370?
-156370
Is 160/1793 != -1?
True
Is 56708 greater than or equal to 56712?
False
Which is greater: -141768 or -141767?
-141767
Which is greater: -2/5 or 18139?
18139
Is 1543334 != 1543336?
True
Which is smaller: 923 or -2/331?
-2/331
Is 8709 > 8829?
False
Which is smaller: -7822 or -4?
-7822
Which is smaller: 10.5 or -152/241?
-152/241
Which is smaller: 499 or 298?
298
Are 3 and 1026/391 nonequal?
True
Which is smaller: 992 or 1843?
992
Which is smaller: -2/1702351 or 1?
-2/1702351
Which is greater: 1 or 17582?
17582
Is 1 at least 36556?
False
Which is greater: 5/63 or 1/2556?
5/63
Which is greater: 1 or -124/497?
1
Is -1 equal to -3/353512?
False
Is 1/5 at least as big as 11666/27?
False
Is -1/3921401 not equal to 0?
True
Is -907 smaller than -1058?
False
Is -0.1 <= 678368?
True
Is 14972 at least 44915/3?
True
Is 14.1843 <= 4/3?
False
Which is smaller: 492 or 17681/36?
17681/36
Is 11 > 821/66?
False
Is 296517 at least as big as 16?
True
Is -8782 smaller than -8781?
True
Is -12642/5 at most -0.1?
True
Which is smaller: -13/2419 or -1?
-1
Is -792 smaller than -737?
True
Which is smaller: -1877 or -357?
-1877
Which is bigger: -4/23 or 3/182?
3/182
Is 8775 <= 8385?
False
Which is bigger: 1 or -2/694875?
1
Does 1/28 = -0.02501?
False
Is 855 at most as big as 1/4?
False
Is 255/77233 less than -1?
False
Is 0 smaller than -21/588629?
False
Which is greater: -4627 or -23133/5?
-23133/5
Is -14130 > -14123?
False
Which is bigger: -1/95011 or 0?
0
Which is greater: -3/7917385 or -1?
-3/7917385
Do -1 and -2/414831 have the same value?
False
Which is bigger: 1054130 or 1054131?
1054131
Is 0 smaller than 294/701?
True
Which is smaller: -2/457 or -631?
-631
Which is greater: 2176 or 2503?
2503
Are -677667 and -677667 nonequal?
False
Is 127/3967 at least 0?
True
Which is smaller: -3/70 or -33?
-33
Is -2/8351 at least -2/37?
True
Are 2/15459 and 0 non-equal?
True
Which is smaller: 368 or 8075/22?
8075/22
Which is bigger: -2035/24 or -84?
-84
Is -947592 greater than or equal to 1/2?
False
Which is greater: -2/11 or 0.16571?
0.16571
Is -6513757 equal to -6513756?
False
Is 667 at least 510?
True
Which is smaller: 25/3739 or -1?
-1
Are -1 and -178/511 unequal?
True
Is -2/278643 greater than or equal to -1?
True
Which is smaller: 366413 or 366411?
366411
Do -3 and 17811 have the same value?
False
Do 14398 and 14391 have different values?
True
Are -898 and 13 equal?
False
Which is smaller: 343.716 or 3?
3
Is -0.2 less than or equal to -3112?
False
Is -10 greater than -3757/7?
True
Which is smaller: 1 or -182/22821?
-182/22821
Is 0.1 at most as big as -111280?
False
Which is bigger: -3508 or -2065?
-2065
Which is greater: 10.7 or 0.46?
10.7
Are 9252 and 0.1 nonequal?
True
Is -1655 > 72?
False
Which is bigger: 1 or 1909/7471?
1
Do -6312/1901 and -3 have the same value?
False
Is 50/468747 less than 0?
False
Which is smaller: -6172 or -6178?
-6178
Is 118233 != 236467/2?
True
Is 0.06497 less than -2/95?
False
Which is bigger: -631/9 or -69?
-69
Which is greater: -116492/5 or -23298?
-23298
Which is bigger: 298 or 10101/34?
298
Which is smaller: 0 or 6/511?
0
Which is smaller: -38219 or -38216?
-38219
Which is smaller: -1085/442 or 1?
-1085/442
Is 29717 > 1/2?
True
Which is smaller: -1 or 4/4523171?
-1
Are -144392 and 0 equal?
False
Which is greater: -1/4 or 174667?
174667
Which is greater: -31317 or -31318?
-31317
Are 5314 and 0.06 equal?
False
Is -12689/156 at most as big as -82?
False
Is 9640 greater than or equal to 9640?
True
Is -0.013 greater than or equal to 1149?
False
Is 2910 >= 4/21?
True
Are 493/93 and 6 equal?
False
Do 20/34847 and 1 have different values?
True
Do 3/26 and 1502 have the same value?
False
Is 3143 >= 3122?
True
Which is smaller: -2461223 or -2461221?
-2461223
Which is smaller: -0.1 or -1884856?
-1884856
Is -2 bigger than -12396?
True
Which is smaller: 1 or -9/117362?
-9/117362
Which is smaller: 232893 or 232895?
232893
Is 0.1 >= 7807?
False
Is 18/25517 at least -1?
True
Which is smaller: -975065 or -975063?
-975065
Is -8 greater than -1296/187?
False
Which is greater: -48718 or -48716?
-48716
Is 14618 greater than 33?
True
Is -2/123169 at least as big as -1?
True
Which is greater: 6674 or 6621?
6674
Which is greater: 29.9 or 79?
79
Which is greater: -14605 or -58425/4?
-14605
Which is smaller: -1964 | {
"pile_set_name": "DM Mathematics"
} |
272.
272
Calculate the highest common divisor of 175 and 88975.
25
What is the highest common divisor of 667544 and 8?
8
What is the greatest common divisor of 2160 and 11760?
240
What is the highest common divisor of 5228928 and 216?
216
Calculate the greatest common factor of 2246811 and 10185.
2037
What is the greatest common factor of 102899 and 43?
43
Calculate the greatest common divisor of 2312 and 115022.
578
Calculate the highest common factor of 383320 and 280.
280
What is the greatest common divisor of 2860 and 250780?
20
Calculate the highest common factor of 1310 and 50042.
262
Calculate the greatest common divisor of 299 and 12765.
23
Calculate the greatest common factor of 795 and 111565.
265
Calculate the greatest common factor of 61128 and 648.
216
Calculate the greatest common divisor of 179 and 398.
1
Calculate the greatest common factor of 63240 and 8959.
527
What is the highest common factor of 223328 and 3136?
224
What is the highest common divisor of 1353 and 1312?
41
Calculate the greatest common divisor of 39 and 1451151.
39
Calculate the highest common factor of 405 and 3916215.
135
What is the highest common divisor of 363 and 41140?
121
Calculate the greatest common factor of 2081 and 3385787.
2081
What is the greatest common factor of 21370 and 2590?
10
What is the greatest common factor of 414 and 4342722?
138
Calculate the highest common factor of 3675 and 13524.
147
What is the greatest common divisor of 776356 and 3029?
233
Calculate the greatest common factor of 119 and 48008.
17
What is the highest common factor of 498 and 308594?
166
Calculate the highest common divisor of 67 and 11658.
67
What is the greatest common factor of 15762 and 55500?
222
What is the greatest common divisor of 2755 and 440610?
95
Calculate the highest common divisor of 6030 and 4500.
90
What is the greatest common factor of 961 and 6944?
31
Calculate the greatest common divisor of 8 and 87910.
2
Calculate the highest common divisor of 464 and 35136.
16
What is the greatest common factor of 1617 and 69762?
231
Calculate the highest common factor of 3048 and 156.
12
Calculate the greatest common divisor of 880 and 19056.
16
Calculate the greatest common divisor of 18 and 264951.
9
Calculate the greatest common divisor of 14 and 46878.
2
Calculate the highest common divisor of 2184 and 39858.
546
What is the greatest common divisor of 3708 and 516?
12
What is the highest common divisor of 1940572 and 284?
284
Calculate the greatest common factor of 47276 and 6913.
223
Calculate the greatest common divisor of 1352540 and 10.
10
Calculate the highest common factor of 175548 and 60.
12
Calculate the highest common factor of 588 and 123284.
196
Calculate the highest common factor of 31655 and 156.
13
Calculate the highest common divisor of 1052973 and 118.
59
What is the greatest common factor of 6390 and 95140?
710
What is the highest common divisor of 58247 and 1484?
371
What is the highest common factor of 280 and 318500?
140
What is the greatest common factor of 328094 and 52?
26
Calculate the greatest common divisor of 2491 and 5452.
47
What is the greatest common factor of 3212 and 396?
44
What is the highest common factor of 71118 and 14310?
54
Calculate the highest common divisor of 5088 and 4992.
96
Calculate the greatest common factor of 201062 and 24503.
229
What is the greatest common divisor of 80 and 13860?
20
Calculate the greatest common factor of 48 and 277968.
48
Calculate the highest common divisor of 429000 and 228.
12
What is the greatest common factor of 1242 and 693?
9
What is the highest common factor of 113728 and 288?
32
Calculate the greatest common divisor of 374382 and 558.
18
What is the highest common divisor of 549340 and 11?
11
Calculate the greatest common divisor of 1518 and 363660.
66
Calculate the greatest common factor of 2183863 and 11.
11
Calculate the highest common divisor of 802587 and 408.
51
Calculate the greatest common divisor of 28 and 3114076.
28
What is the greatest common divisor of 44871 and 30?
3
Calculate the greatest common factor of 872965 and 230.
115
What is the highest common factor of 5 and 1145?
5
What is the greatest common divisor of 328041 and 882?
63
Calculate the highest common divisor of 202672 and 208.
16
What is the highest common factor of 1845 and 809135?
205
What is the highest common divisor of 632 and 61?
1
Calculate the highest common divisor of 1991 and 605.
11
Calculate the greatest common factor of 14768 and 112.
16
What is the greatest common divisor of 119760 and 240?
240
Calculate the highest common divisor of 2568 and 4006936.
856
What is the greatest common divisor of 9264 and 698274?
1158
What is the greatest common divisor of 16789075 and 106?
53
What is the highest common divisor of 73 and 3577?
73
What is the highest common factor of 924 and 12089?
77
What is the greatest common factor of 298 and 150341?
149
What is the greatest common divisor of 14379 and 81?
3
What is the greatest common factor of 431410 and 105?
35
Calculate the highest common divisor of 404 and 5.
1
Calculate the highest common factor of 16318 and 2747.
41
What is the highest common divisor of 64 and 232?
8
What is the greatest common factor of 5123851 and 17?
17
Calculate the greatest common factor of 8 and 419824.
8
What is the greatest common divisor of 364010 and 534?
178
Calculate the highest common divisor of 315742 and 266.
266
Calculate the highest common divisor of 173224 and 4012.
236
What is the highest common divisor of 5575 and 18050?
25
Calculate the greatest common divisor of 1113241 and 31.
31
Calculate the highest common factor of 44514 and 162.
18
Calculate the highest common divisor of 888 and 334036.
148
What is the greatest common divisor of 3995 and 1734?
17
What is the greatest common divisor of 176 and 18491?
11
What is the greatest common factor of 13 and 1194271?
13
What is the highest common factor of 455 and 55315?
65
Calculate the greatest common divisor of 243 and 8235.
27
What is the greatest common divisor of 1831310 and 10?
10
Calculate the greatest common factor of 5588687 and 13.
13
What is the highest common divisor of 1027 and 1391?
13
What is the highest common divisor of 30 and 1735815?
15
What is the highest common divisor of 5984 and 891?
11
Calculate the highest common divisor of 476907 and 213.
213
What is the highest common factor of 1426 and 21886?
62
What is the greatest common divisor of 13757 and 9?
1
What is the highest common divisor of 28480 and 10?
10
What is the greatest common factor of 87 and 2822686?
29
What is the greatest common factor of 216 and 20556?
36
Calculate the greatest common divisor of 282502 and 418.
22
Calculate the greatest common divisor of 6506 and 104.
2
Calculate the highest common divisor of 263887 and 9575.
383
What is the highest common factor of 406 and 3422?
58
What is the greatest common divisor of 46609 and 1468?
367
Calculate the highest common divisor of 149719 and 272.
17
What is the highest common factor of 4864 and 55296?
256
Calculate the highest common factor of 6766 and 124574.
398
Calculate the highest common divisor of 1225 and 16415.
245
What is the greatest common divisor of 1270152 and 138?
138
What is the highest common divisor of 10 and 333170?
10
Calculate the highest common divisor of 57729 and 21.
21
Calculate the greatest common divisor of 1584 and 172359.
99
What is the highest common divisor of 384 and 681984?
384
What is the highest common factor of 96 and 1356756?
12
Calculate the greatest common divisor of 3247 and 187.
17
What is the greatest common divisor of 65567 and 692?
173
Calculate the highest common factor of 1616 and 4498944.
1616
What is the highest common factor of 40368 and 288?
48
What is the greatest common divisor of 131588 and 804?
268
What is the greatest common divisor of 16315 and 351?
13
What is the greatest common factor of 61344 and 3195?
639
What is the greatest common divisor of 13 and 11141?
13
Calculate the greatest common divisor of 1544866 and 214.
214
What is the highest common factor of 45 and 3092031?
9
What is the highest common divisor of 2516 and 1887?
629
What is the greatest common divisor of 1225 and 18475?
25
What is the greatest comm | {
"pile_set_name": "DM Mathematics"
} |
?
True
Is -209 bigger than 2/7?
False
Are -2/5 and -0.1 nonequal?
True
Are 0 and -1/312 unequal?
True
Does 4801 = 4801?
True
Which is bigger: -4/771 or 0?
0
Which is smaller: -31 or -72?
-72
Which is smaller: -1661 or -1660?
-1661
Which is greater: 132/5 or -3?
132/5
Is 46 at most 57?
True
Which is smaller: -0.06 or -0.039?
-0.06
Which is smaller: 1023 or 4?
4
Is 1/2 not equal to -2/2869?
True
Is -2/427 <= 3.4?
True
Which is greater: -3/817 or 1?
1
Which is smaller: 7/450 or -1?
-1
Are 4 and 1/12 equal?
False
Is -439 at least -416?
False
Which is greater: -27 or -136/5?
-27
Which is smaller: 432 or 1729/4?
432
Are 3/44416 and 0 unequal?
True
Is 610/11 less than or equal to 54?
False
Is 1/183 bigger than 0.3?
False
Is 11 at least as big as 465/43?
True
Is 4/85 < 0?
False
Which is greater: -0.12402 or -1?
-0.12402
Does -3609/2 = -1804?
False
Which is smaller: -735 or 1?
-735
Is -393 at least as big as -390?
False
Which is bigger: -4381 or -4382?
-4381
Do 948 and 945 have the same value?
False
Which is bigger: 3536 or 3538?
3538
Is -200 less than -200?
False
Which is smaller: 1.7 or -18?
-18
Is 21106 <= 21106?
True
Which is bigger: -27 or -86?
-27
Does 1 = 10/473?
False
Which is smaller: 19 or -3/2?
-3/2
Is -24 >= -19?
False
Which is smaller: -44/85 or -2?
-2
Is 33 greater than -107?
True
Is 2/5869 equal to 1?
False
Which is bigger: -26 or -4?
-4
Is 1 != -2/971?
True
Is 102 != 1.9?
True
Is -18 at most as big as 1.3?
True
Is -15684 smaller than -15683?
True
Do -3900/23 and -170 have the same value?
False
Which is greater: 1494/19 or 78?
1494/19
Is -5740 <= -5740?
True
Are -1 and -5/602 equal?
False
Is 879 <= 1?
False
Is 76 at least 0.01?
True
Which is smaller: -0.1 or 19.4?
-0.1
Is -2201 > -2201?
False
Which is smaller: 157/2 or 80?
157/2
Is -6 smaller than -1/16?
True
Which is greater: -132 or -87?
-87
Which is bigger: 281 or 2809/10?
281
Does 0 = 3/766?
False
Are 453 and 454 non-equal?
True
Is 217 at most 1735/8?
False
Which is smaller: -14/13 or -2?
-2
Which is smaller: 21 or 218/11?
218/11
Are 301 and 1/4 equal?
False
Are -439 and -441 non-equal?
True
Is 287 greater than 3?
True
Which is smaller: -933 or -2?
-933
Which is smaller: -69/70 or -1?
-1
Which is greater: -3 or -85/24?
-3
Which is bigger: 1/999 or -1?
1/999
Is -37591 != -37591?
False
Which is bigger: 48/7 or 1.4?
48/7
Which is greater: 37 or 71?
71
Which is bigger: 131 or 118?
131
Which is smaller: 2.7 or 0.2?
0.2
Which is bigger: -78 or -0.2?
-0.2
Is -1 greater than -8/29?
False
Which is smaller: 931 or 932?
931
Is -56/237 != -1?
True
Which is bigger: 22774 or 22773?
22774
Which is greater: -44 or -2/379?
-2/379
Is -19/2 less than or equal to -9?
True
Is -1208 smaller than -1207?
True
Is -114/569 greater than 1?
False
Is -27 smaller than -0.03?
True
Does 9 = 95/12?
False
Is -590 less than -591?
False
Are 0.14117 and 0 equal?
False
Which is bigger: 0 or 2/8607?
2/8607
Which is smaller: 1009 or 1012?
1009
Is 48 less than 56?
True
Is 9 less than or equal to -0.0962?
False
Is -2499 > -2499?
False
Does 0 = -2/671?
False
Which is greater: 0 or -3/226?
0
Is -637 equal to -637?
True
Which is smaller: 105 or 104?
104
Is -1089 != -1091?
True
Is -636 at most -639?
False
Is -8 greater than -13?
True
Which is greater: 29 or 250/9?
29
Which is greater: -1 or 127/420?
127/420
Which is smaller: -25 or -38?
-38
Are 751 and 765 unequal?
True
Do -467 and -467 have the same value?
True
Is 231 at least as big as 232?
False
Which is smaller: 1044 or 1046?
1044
Is 6 at least as big as -198?
True
Is 41 <= 1/19?
False
Which is greater: -6446 or -6447?
-6446
Is 2 < -823/4?
False
Which is greater: -188 or -190?
-188
Is 1 at least -14?
True
Which is greater: 2 or 11/21?
2
Is -3147 smaller than -3147?
False
Which is smaller: 1 or -7/281?
-7/281
Is 77/83 at most 1?
True
Which is smaller: 3 or 1099?
3
Which is smaller: 2/29 or -10?
-10
Which is bigger: 1033 or -1/4?
1033
Is 0 bigger than -6972/23?
True
Is -1/3 equal to -17211?
False
Which is smaller: 12 or 3?
3
Which is smaller: -1/2 or 184.7?
-1/2
Do 0.1 and 1/72 have the same value?
False
Which is greater: -782 or -774?
-774
Is -109 != 9?
True
Which is smaller: -9/88 or 0?
-9/88
Which is smaller: 78 or 703/9?
78
Is -10/179 >= -1?
True
Is 0.1615 greater than or equal to 2/3?
False
Which is bigger: 0 or 14/41?
14/41
Which is greater: -169 or -20?
-20
Which is smaller: -3 or 4953?
-3
Is 2.6 >= -6?
True
Is 28 greater than 17?
True
Is -0.3 at least as big as 6/97?
False
Is -11 at least as big as 3?
False
Do -12 and -150/13 have the same value?
False
Is -62.9 less than 0.1?
True
Which is bigger: -2 or 307?
307
Is 37 greater than 34?
True
Is 6911 at least as big as 6910?
True
Are 1 and -377/3 non-equal?
True
Is 3341 bigger than 3341?
False
Which is smaller: 0 or -1/281?
-1/281
Is -277/49 less than -6?
False
Which is greater: -4/25975 or 1?
1
Which is greater: 121 or 28?
121
Is 0.15 >= 1.1?
False
Which is smaller: 0 or -1/11287?
-1/11287
Which is bigger: 967 or 10642/11?
10642/11
Are -1135 and 2/5 equal?
False
Which is smaller: 584 or 586?
584
Which is smaller: -0.1 or 0.39?
-0.1
Is 44/95 > -1?
True
Which is smaller: 2117 or 0?
0
Is 0.525 greater than 2/7?
True
Is 663 >= 664?
False
Which is smaller: -127/3 or 2?
-127/3
Is 5488 bigger than 5490?
False
Which is bigger: -4/21 or 0?
0
Which is bigger: 264 or 0.4?
264
Is -1 smaller than 142?
True
Is 2036 smaller than 4073/2?
True
Is 61/104 > 0?
True
Which is smaller: 1 or 19/4?
1
Is -4410 <= -0.2?
True
Which is smaller: -1899 or -1900?
-1900
Is 2867/3 greater than or equal to 957?
False
Is 42 < -21?
False
Which is smaller: 159/2 or 80?
159/2
Which is smaller: -1/5 or 2210?
-1/5
Do 210/19 and 11 have different values?
True
Which is bigger: -13449 or -13450?
-13449
Is -60/229 less than -1?
False
Is -3927 bigger than -3926?
False
Is 2 less than 7/8?
False
Which is smaller: 6483 or 6485?
6483
Is 1 smaller than 133.8?
True
Which is smaller: 10562 or 10563?
10562
Which is greater: 4467 or 4469?
4469
Which is bigger: 187/27 or 6?
187/27
Which is greater: 2/113 or 48.3?
48.3
Is 2/435 greater than or equal to 0?
True
Does -399 = -396?
False
Is -6 not equal to -20?
True
Which is greater: 11 or 48?
48
Is 0.7 bigger than -3/14?
True
Is 0.06 at most -0.44?
False
Which is smaller: 3 or 52?
3
Which is smaller: 6654 or 6651?
6651
Which is greater: 2 or 14313?
14313
Which is smaller: 40 or 327/8?
40
Is 7/64 less than -0.1?
False
Which is smaller: 10 or 98.7?
10
Do 5/2003 and 1 have the same value?
False
Which is smaller: -1/11300 or 0?
-1/11300
Is 207 less than 202?
False
Which is bigger: 16 or -44?
16
Does 748 = 748?
True
Which is smaller: 2/9 or 28.1?
2/9
Does -1.866 = 0.6?
False
Are 0 and 3/5350 nonequal?
True
Which is bigger: -1 or 67.6?
67.6
Is -1318/15 < -88?
False
Are 12355 and 12356 equal?
False
Which is greater: 712/5 or 4?
712/5
Is 2/7 > -12.284?
True
Which is greater: -12 or -67/5?
-12
Are -144 and -143 equal?
False
Which is smaller: -51 or -52?
-52
Does -1/350 = 1?
False
Which is bigger: -38 or -42?
-38
Which is greater: 1335 or 1338?
1338
Which is greater: -319 or -2?
-2
Is 0 equal to -9/245?
False
Which is greater: 41 or 34?
41
Is 1562 less than 1564?
True
Which is bigger: 1/109 or 1?
1
Does 7725 = 7725?
True
Which is smaller: -58/15 or -3?
-58/15
Are 289 and 216 equal?
False
Are 206 and 208 non-equal?
True
Is 194/29 > 7?
False
Which is greater: -1 or 22/405?
22/405
Is -11 greater than or equal to 27?
False
Which is bigger: -3 or -0.09?
-0.09
Which is smaller: 1609 or 1608?
1608
Which is smaller: -2972 or -2970?
-2972
Is -664 >= 2/5?
False
Which is bigger: 0 or -2/67?
0
Which is bigger: -1182 or -1180?
-1180
Is -611/12 > -52?
True
Which is greater: -2275/2 or -1138?
-2275/2
Which is smaller: 0 or -10.31?
-10.31
Which is smaller: 1 or -8/169?
-8/169
Are 31 and 121/4 unequal?
True
Do -525 and -525 have the same value?
True
Which is bigger: 0 or -44/51?
0
Is 0 less than 2/33093?
True
Is 508 at least 508?
True
Do -1317 and -1317 have different values?
False
Which is smaller: -5 or -0.6?
-5
Is -22/29 bigger than 0?
False
Which is smaller: 222 or 226?
222
Which is bigger: 2/7 or 1/157?
2/7
Is -120/11 less than -11?
False
Is 1345/4 at most as big as 336?
False
Which is greater: 72 or -5.3?
72
Which is smaller: 1939 or 1943?
1939 | {
"pile_set_name": "DM Mathematics"
} |
2
Sort -3, 1.44, -0.2, -2/3, 80, -0.4 in descending order.
80, 1.44, -0.2, -0.4, -2/3, -3
Put 3, 0, 24 in increasing order.
0, 3, 24
Put -0.3, -2/13, -273, -86, -0.04 in decreasing order.
-0.04, -2/13, -0.3, -86, -273
Sort -346, 19, -3, 5, 2 in ascending order.
-346, -3, 2, 5, 19
Put -4, -16, -1, -145, 2, -5 in decreasing order.
2, -1, -4, -5, -16, -145
Sort 0.2, -146, -1.2, 4, 1, -3/2 in increasing order.
-146, -3/2, -1.2, 0.2, 1, 4
Sort -30, -5, -2, 0, -4, -607 in decreasing order.
0, -2, -4, -5, -30, -607
Sort 1, 5, -7, 4, -8, -3 in decreasing order.
5, 4, 1, -3, -7, -8
Put -2/11, 37, -3/8, 0.2, 4 in ascending order.
-3/8, -2/11, 0.2, 4, 37
Sort 9, -276, 3, 5, -6 in ascending order.
-276, -6, 3, 5, 9
Sort -3, -1/5, 1, -2/299, 0, 0.2 in ascending order.
-3, -1/5, -2/299, 0, 0.2, 1
Sort 180, 5, -704, 2.
-704, 2, 5, 180
Put 0, 3, -2, -5, 1, -14 in increasing order.
-14, -5, -2, 0, 1, 3
Sort -14, 4, -1, -3/4, 309, 0.8 in ascending order.
-14, -1, -3/4, 0.8, 4, 309
Sort 0.13, 156, 63 in ascending order.
0.13, 63, 156
Put -42, 24, -0.1, 4/5 in descending order.
24, 4/5, -0.1, -42
Put 1, -8054, -1/12 in increasing order.
-8054, -1/12, 1
Sort -4, -2, 2, 240.
-4, -2, 2, 240
Sort 4, -5, -17, -3, -1, 61.
-17, -5, -3, -1, 4, 61
Put 14, 5, 3, -10 in descending order.
14, 5, 3, -10
Put 7, 3, 1, -135, 5 in decreasing order.
7, 5, 3, 1, -135
Sort -5, 2/35, 0, 447, 6.
-5, 0, 2/35, 6, 447
Put -5/32, -4, -32, -1 in descending order.
-5/32, -1, -4, -32
Put -0.24, -0.51, -46 in ascending order.
-46, -0.51, -0.24
Sort -1, -2/7, 764, -5, -3/4 in ascending order.
-5, -1, -3/4, -2/7, 764
Sort -0.3, 3, 4, 2, 110 in decreasing order.
110, 4, 3, 2, -0.3
Sort 449, 2, -437 in increasing order.
-437, 2, 449
Put -1, 493, 38, -4 in descending order.
493, 38, -1, -4
Put -4, -22/9, 0.3, 0, -0.3 in descending order.
0.3, 0, -0.3, -22/9, -4
Put -2, 1, -16, -113 in increasing order.
-113, -16, -2, 1
Sort 2/9, -293/5, -0.1, -1 in increasing order.
-293/5, -1, -0.1, 2/9
Put 0, -0.4, 0.4, 2/19, -25, -0.16 in decreasing order.
0.4, 2/19, 0, -0.16, -0.4, -25
Sort -0.4, -0.5, 2564, -0.2 in increasing order.
-0.5, -0.4, -0.2, 2564
Sort -4, 11, -19/6, 2 in decreasing order.
11, 2, -19/6, -4
Sort -3, -315, -4, -5, 5, 4 in descending order.
5, 4, -3, -4, -5, -315
Sort 1, 36816, -5 in increasing order.
-5, 1, 36816
Put -13, 5771, 4, 1, 5, -3 in decreasing order.
5771, 5, 4, 1, -3, -13
Put -201, -7, -46 in increasing order.
-201, -46, -7
Put 12, 0, 3, 1191, -0.5 in ascending order.
-0.5, 0, 3, 12, 1191
Put -1, 27, -5, 7 in decreasing order.
27, 7, -1, -5
Put 0.31, 0.5, 2/3, 18, 2/11 in ascending order.
2/11, 0.31, 0.5, 2/3, 18
Sort -3, -1, -18280 in increasing order.
-18280, -3, -1
Sort 4, 1, 1054, 0 in ascending order.
0, 1, 4, 1054
Sort 12, 4, 2/7, -4/25, -2 in decreasing order.
12, 4, 2/7, -4/25, -2
Sort -0.05, 2/23, -20, -14, -0.4.
-20, -14, -0.4, -0.05, 2/23
Sort 1/4, 41/11, -152.
-152, 1/4, 41/11
Sort 280519, -1, 0.5 in descending order.
280519, 0.5, -1
Sort -23, -456, 4 in decreasing order.
4, -23, -456
Put -1/4, -1.195, 0, 3, -1/8, -0.4 in increasing order.
-1.195, -0.4, -1/4, -1/8, 0, 3
Sort 3/13333, 6, 0.3 in ascending order.
3/13333, 0.3, 6
Put 2, 1750, -1, -5 in decreasing order.
1750, 2, -1, -5
Put 7, 5, -2/15, 0.4 in increasing order.
-2/15, 0.4, 5, 7
Sort -5, 64134, 0 in descending order.
64134, 0, -5
Sort 3, 4, 0, -1, -197, -5.
-197, -5, -1, 0, 3, 4
Put 3, -20, -5, -22224 in decreasing order.
3, -5, -20, -22224
Sort 29, 88.7, -4, 2, -5, 1 in increasing order.
-5, -4, 1, 2, 29, 88.7
Sort -39, 0, -29 in decreasing order.
0, -29, -39
Put 2/145, 1/25, -0.4 in decreasing order.
1/25, 2/145, -0.4
Sort -13413, -5, -151 in descending order.
-5, -151, -13413
Sort 4, -1, -2, 8, 31.
-2, -1, 4, 8, 31
Sort 1/634, -2, 5, 2/9, 0.4, 1/3.
-2, 1/634, 2/9, 1/3, 0.4, 5
Put -2/23, 3, 5, -0.5, -5, 2/13 in descending order.
5, 3, 2/13, -2/23, -0.5, -5
Put 5, 139, -1, 18, 2 in ascending order.
-1, 2, 5, 18, 139
Sort -5, 1, -2, -0.1195, -0.1.
-5, -2, -0.1195, -0.1, 1
Sort 18, -1, 1, 53, -5 in decreasing order.
53, 18, 1, -1, -5
Put -711, -0.3, 4/7, 2, 0 in descending order.
2, 4/7, 0, -0.3, -711
Sort 1, -5, -4, -14, 0, -6 in increasing order.
-14, -6, -5, -4, 0, 1
Sort 2/7, 3/5, -1/55, -259 in descending order.
3/5, 2/7, -1/55, -259
Put -20, 1, 5, 0, -867 in ascending order.
-867, -20, 0, 1, 5
Sort 55, 0, 2, -113, 3, 4 in decreasing order.
55, 4, 3, 2, 0, -113
Put -0.03, -3/5, -3, -15/4, -4/7 in decreasing order.
-0.03, -4/7, -3/5, -3, -15/4
Sort 35, -4, 5, -9, 2 in descending order.
35, 5, 2, -4, -9
Sort -5, 4, -0.19, 0.666.
-5, -0.19, 0.666, 4
Put -4, 0.08, 67817 in increasing order.
-4, 0.08, 67817
Put 5, -14, 189 in descending order.
189, 5, -14
Put 1, -77, -3, 139 in decreasing order.
139, 1, -3, -77
Sort 5, 724, -2 in descending order.
724, 5, -2
Sort 5, -135, -249 in descending order.
5, -135, -249
Sort -801, 14, 6, 4, 5 in descending order.
14, 6, 5, 4, -801
Sort 4, 48, -4, 45.
-4, 4, 45, 48
Sort 406, 2, -3/5, 0.13 in ascending order.
-3/5, 0.13, 2, 406
Sort -1, 3, -0.4, 315311.
-1, -0.4, 3, 315311
Put 7, -3, 671, -18 in increasing order.
-18, -3, 7, 671
Put -3, -64, 161, 4, 5 in increasing order.
-64, -3, 4, 5, 161
Put 5, -1/3, 0.00073, 4, -0.2 in descending order.
5, 4, 0.00073, -0.2, -1/3
Put 0, 3, -2/102563 in descending order.
3, 0, -2/102563
Sort -4, -36, 423 in increasing order.
-36, -4, 423
Put 1/90, 5, 1/6, 2, 2/15, 7/3 in decreasing order.
5, 7/3, 2, 1/6, 2/15, 1/90
Put 1/6, 1711, 393 in ascending order.
1/6, 393, 1711
Sort -263.1, -0.2, -0.062 in increasing order.
-263.1, -0.2, -0.062
Put -8, -32, -5, 12, 1 in decreasing order.
12, 1, -5, -8, -32
Sort -5, -1, 120, 17 in increasing order.
-5, -1, 17, 120
Sort 2, 60, 11, 17.
2, 11, 17, 60
Sort 5, 0, -1/13, 1/63 in descending order.
5, 1/63, 0, -1/13
Sort 82, 2, 4, 1, 3, -7 in descending order.
82, 4, 3, 2, 1, -7
Put 17/13, 0, 1, 5, -2, -3 in decreasing order.
5, 17/13, 1, 0, -2, -3
Sort 4285, -4, 1 in descending order.
4285, 1, -4
Sort -0.2, -47, -1/2, -2, 0 in ascending order.
-47, -2, -1/2, -0.2, 0
Sort 0.1, -69700, -2/7, 2/11 in decreasing order.
2/11, 0.1, -2/7, -69700
Put -13, 5, 4, -27, -5, 17 in decreasing order.
17, 5, 4, -5, -13, -27
Put -530, -17, 2 in decreasing order.
2, -17, -530
Sort 1, -4, -1/4, -1.028, -3 in descending order.
1, -1/4, -1.028, -3, -4
Sort 2/3, 3/10, 435/8, -1/4 in decreasing order.
435/8, 2/3, 3/10, -1/4
Sort 3, -19718, 5 in descending order.
5, 3, -19718
Sort 18, -1, -0.41403 in ascending order.
-1, -0.41403, 18
Sort -115, -4, 5, 3 in descending order.
5, 3, -4, -115
Put -0.2, -0.01, -0.171, 0, 4 in ascending order.
-0.2, -0.171, -0.01, 0, 4
Sort -4, 0.062, 0, 5, -0.3 in descending order.
5, 0.062, 0, -0.3, -4
Put 2/11, 54205, -5 in increasing order.
-5, 2/11, 54205
Put 62, 0, 829 in decreasing order.
829, 62, 0
Put 449, -1, 110/9 in descending order.
449, 110/9, -1
Sort 25, -160, 1/10, 0.4, -4, -3 in increasing order.
-160, -4, -3, 1/10, 0.4, 25
Put -1706, -1, 4, -3 in decreasing order.
4, -1, -3, -1706
Sort -4, 39, -42, -23, 5, 1 in decreasing order.
39, 5, 1, -4, -23, -42
Sort 5, 4, 3, -2224.
-2224, 3, 4, 5
Put -1, -344, -1/15, 4 in increasing order.
-344, -1, -1/15, 4
Put 312, 1, 6, -5, 2, -26 in descending order.
312, 6, 2, 1, -5, -26
Sort 5/3, 4, 1.73, -2/5, -2/9, -3 in descending order.
4, 1.73, 5/3, -2/9, -2/5, -3
Sort -11, 6, -200.
-200, -11, 6
Sort 3, 23, 120, -4, -18, 4 in increasing order.
-18, -4, 3, 4, 23, 120
Sort -54, -5, 2, 323, -1 in descending order.
323, 2, -1, -5, -54
Sort -1, 8, -150, 0.3, -2/7 in decreasing order.
8, 0.3, -2/7, -1, -150
Sort -2, 1, -55/2, 4 in decreasing order.
4, 1, -2, -55/2
Sort -4, -1/5, 12, 15/71, 2/3, -5 in decreasing order.
12, 2/3, 15/71, -1/5, -4, -5
Sort 32, -593, 2, -3 in decreasing order.
32, 2, -3, -593
Sort 10, -51.7, -1/2, -2, 3, -5/2 in ascending order.
-51.7, -5/2, -2, -1/2, 3, 10
Put 8, 2, 145, -549 in descending order.
145, 8, 2, -549
Sort 2, -6, 6, -13, 38.
-13, -6, 2, 6, 38
Put 7/3, -3/5, -1/20, 19 in decreasing order.
19, 7/3, -1/20, -3/5
Put -1, -3, -0.31, -15/4 in decreasing order.
-0.31, -1, -3, -15/4
Put -4, -40, -2227, -5 in increasing order.
-2227, -40, -5, -4
Sort 13/31, -288, -0.2, 3 in increasing order.
-288, -0.2, 13/31, 3
| {
"pile_set_name": "DM Mathematics"
} |
t(3)/42
Simplify sqrt(95)/sqrt(125) + (1 + sqrt(19))*3.
3 + 16*sqrt(19)/5
Simplify ((-1 + sqrt(288) - sqrt(288) - sqrt(288) - sqrt(288)) + -5)**2.
288*sqrt(2) + 1188
Simplify sqrt(5) + 1 + -3 + -1.
-3 + sqrt(5)
Simplify (-3 + (-3 + sqrt(2) + sqrt(8)/sqrt(4))*-5*-6)**2.
-11160*sqrt(2) + 15849
Simplify (-2 + sqrt(475) + sqrt(475) + -3)*-4.
-40*sqrt(19) + 20
Simplify (sqrt(385)/sqrt(112))/((sqrt(88)/sqrt(2))/sqrt(4)).
sqrt(5)/4
Simplify ((3*sqrt(88)/sqrt(4) + sqrt(22))/(2*sqrt(99) - sqrt(99) - sqrt(11)))**2*-5.
-40
Simplify (1 + sqrt(117) + 0 - ((sqrt(117) - (sqrt(117) + 0) - sqrt(117))*-1 + sqrt(117)))**2.
-6*sqrt(13) + 118
Simplify -2 + sqrt(2) + sqrt(2)*-5 - -3*sqrt(8)/sqrt(4).
-2 - sqrt(2)
Simplify 5*sqrt(171)/(-2*sqrt(9)).
-5*sqrt(19)/2
Simplify ((sqrt(1584) + (sqrt(1584)*4 - sqrt(1584)))*-2)**2 - sqrt(1584).
-12*sqrt(11) + 101376
Simplify (4*sqrt(156)*-2)/(sqrt(48)*1).
-4*sqrt(13)
Simplify (-2*(sqrt(171) + 1 + -1))**2.
684
Simplify (sqrt(1377) - (1 + (sqrt(1377) - 4*sqrt(1377) - sqrt(1377) - sqrt(1377)) + sqrt(1377)))**2.
-90*sqrt(17) + 34426
Simplify -3*sqrt(1088) - (-2 + sqrt(17))*-2.
-22*sqrt(17) - 4
Simplify (-6*sqrt(88)*3)/sqrt(8).
-18*sqrt(11)
Simplify -2*sqrt(931) + 5 + (6*(1*sqrt(19) + 4))**2.
274*sqrt(19) + 1265
Simplify ((sqrt(6) - (sqrt(216) + sqrt(6)))/sqrt(3))**2 - sqrt(4)/(2*sqrt(2) + sqrt(2)).
-sqrt(2)/3 + 72
Simplify (-3 + sqrt(500)*-2)*1.
-20*sqrt(5) - 3
Simplify ((-1 + sqrt(153) + 4)**2 - sqrt(153)) + 3.
15*sqrt(17) + 165
Simplify (sqrt(132) - 3*sqrt(132)*3)/((sqrt(132)*-3)/sqrt(11)).
8*sqrt(11)/3
Simplify sqrt(33)/(sqrt(48)*-3).
-sqrt(11)/12
Simplify -2*sqrt(675).
-30*sqrt(3)
Simplify -1 + ((1 + sqrt(7))*-5 - (sqrt(1008) - (sqrt(1008) + sqrt(1008) + -1 + sqrt(1008))))*5.
-31 + 95*sqrt(7)
Simplify -4*2*sqrt(720) + 4 + (sqrt(720) - (0 + sqrt(720)))**2 + -5.
-96*sqrt(5) - 1
Simplify (sqrt(75) - (-2*sqrt(75) + sqrt(75)))*5 - (2 + (sqrt(75) - (sqrt(75) + 0)))**2.
-4 + 50*sqrt(3)
Simplify (-4 + (sqrt(19) + sqrt(76)/sqrt(4))*6)*1.
-4 + 12*sqrt(19)
Simplify (sqrt(19) - (0 + sqrt(19)))*4 + -5.
-5
Simplify -3 + ((sqrt(242) + sqrt(242) + -1 + sqrt(242))*6 + sqrt(242))**2.
-2508*sqrt(2) + 87395
Simplify (sqrt(300) + 1)*-1.
-10*sqrt(3) - 1
Simplify (2*(sqrt(1216)*1 + 2))**2.
128*sqrt(19) + 4880
Simplify (sqrt(128) - -1*sqrt(128))/(sqrt(196)*1).
8*sqrt(2)/7
Simplify sqrt(21)/(4*sqrt(7)) + -5.
-5 + sqrt(3)/4
Simplify -3 + ((sqrt(275) + -2)**2 - sqrt(275))*-1.
-282 + 25*sqrt(11)
Simplify (1 + sqrt(432))*1 - (3 + sqrt(432) + 1 + sqrt(432)).
-12*sqrt(3) - 3
Simplify ((sqrt(68) + 2*sqrt(68)*-6)/(sqrt(4) + sqrt(4) + (sqrt(16)*1)/sqrt(4)))**2.
2057/9
Simplify (2 + sqrt(2299))*1 + (-2 + sqrt(2299) + sqrt(2299)*-2)**2.
55*sqrt(19) + 2305
Simplify -5 + (sqrt(130)/(sqrt(10)*-1) + 2)**2.
-4*sqrt(13) + 12
Simplify (-5*2*sqrt(104) + sqrt(104) + sqrt(104))/(2*sqrt(800)).
-2*sqrt(13)/5
Simplify (sqrt(6)/(sqrt(2) - sqrt(32))*-2)**2.
4/3
Simplify (sqrt(2112)*-2 - sqrt(2112))/((-2*sqrt(36) - sqrt(36))/sqrt(12)).
8*sqrt(11)
Simplify -1 + (sqrt(425)*-1)**2.
424
Simplify (-1*sqrt(252))/(sqrt(64)*1 + sqrt(4)).
-3*sqrt(7)/5
Simplify ((2*sqrt(228)*-6)/sqrt(12)*-1*-2)**2.
10944
Simplify ((sqrt(171) + (-3*(sqrt(171) + (sqrt(171) - sqrt(171)*-2)) - sqrt(171)))/((sqrt(36)*1)/sqrt(4)))**2.
2736
Simplify 3 + sqrt(60)/(sqrt(12) - sqrt(300)).
-sqrt(5)/4 + 3
Simplify (sqrt(300) + -3*sqrt(300) - sqrt(3))**2 + sqrt(3) + (sqrt(27) - sqrt(3)) + 1.
3*sqrt(3) + 1324
Simplify -4 + -5*(-1 + sqrt(833))**2 + 5.
-4169 + 70*sqrt(17)
Simplify sqrt(3) + 1 + sqrt(3) + 2 + sqrt(3) + -1.
2 + 3*sqrt(3)
Simplify (sqrt(24) + (sqrt(24) - sqrt(96)*-1))/(sqrt(8) - -4*(sqrt(8) - sqrt(8)*-2)).
4*sqrt(3)/13
Simplify ((-1*(sqrt(2) + 0) - (sqrt(12)/sqrt(6) + -3))*-2)**2.
-48*sqrt(2) + 68
Simplify 2 + ((sqrt(10) - -2*sqrt(10)) + sqrt(10))/sqrt(5).
2 + 4*sqrt(2)
Simplify ((1*sqrt(2695))/((sqrt(11) + sqrt(11)*-2)*5))**2.
49/5
Simplify -2 + sqrt(117) + 4.
2 + 3*sqrt(13)
Simplify (sqrt(132) - (sqrt(132) - -1*sqrt(132))*-4)/(sqrt(60)/sqrt(20)).
18*sqrt(11)
Simplify sqrt(1008) + (sqrt(1008) + sqrt(1008)*-1)*-3 + 1.
1 + 12*sqrt(7)
Simplify (sqrt(550)/sqrt(176))/((sqrt(10) - sqrt(40)/sqrt(4)*-6) + sqrt(10)).
sqrt(5)/32
Simplify ((sqrt(209) - (sqrt(209) - (3*sqrt(209) - sqrt(209) - sqrt(209)))) + sqrt(209))/sqrt(11)*5.
10*sqrt(19)
Simplify (sqrt(68)*-2 + sqrt(68) + -4)**2.
16*sqrt(17) + 84
Simplify -3 + (sqrt(891) - (1 + sqrt(891))) + -3.
-7
Simplify -3*(sqrt(11) + 2*sqrt(176)).
-27*sqrt(11)
Simplify (-2 + 1*sqrt(98) - sqrt(98))**2 + 2.
6
Simplify ((2*(0 + sqrt(13)) - (-1 + sqrt(1872)))*3 + 5)**2.
-480*sqrt(13) + 11764
Simplify 6*(3 + -1*sqrt(48))**2.
-144*sqrt(3) + 342
Simplify (sqrt(7)*1*1 + -1)**2.
-2*sqrt(7) + 8
Simplify sqrt(126)/sqrt(2) + 1.
1 + 3*sqrt(7)
Simplify (3*(sqrt(272) + -4 + (sqrt(272)*-2 - sqrt(272))))**2.
576*sqrt(17) + 9936
Simplify sqrt(325) + 1 + 1 - sqrt(325).
2
Simplify ((-1*(sqrt(65)*-2 - sqrt(65)) - sqrt(65)) + sqrt(65) + sqrt(65))/(sqrt(45)/(sqrt(36)/sqrt(4))).
4*sqrt(13)
Simplify (6*(sqrt(612)*2 + sqrt(612) + sqrt(612)))**2 + sqrt(170)/(sqrt(10)*-2) + -2.
-sqrt(17)/2 + 352510
Simplify sqrt(84)/sqrt(972) + (-5*(sqrt(7) + sqrt(7) + 3))**2 + sqrt(7).
2710*sqrt(7)/9 + 925
Simplify 1 + sqrt(19) + -2 + sqrt(2736)*1 + sqrt(19) - (4 + sqrt(76)/sqrt(4) + sqrt(1900)*1).
-5 + 3*sqrt(19)
Simplify -5*(sqrt(52) + 1) - (sqrt(52) + 5*sqrt(312)/sqrt(6)).
-22*sqrt(13) - 5
Simplify (2*sqrt(4)*-5 + sqrt(4))/(sqrt(288) - (-2*sqrt(288) - sqrt(288))).
-3*sqrt(2)/16
Simplify (3*(4 + sqrt(11) + sqrt(11)))**2 + sqrt(11) - (sqrt(11) + sqrt(396))*-3.
540 + 166*sqrt(11)
Simplify -1 + (sqrt(700) + 4 + sqrt(700) + 2)**2.
240*sqrt(7) + 2835
Simplify (sqrt(24)*2)/((sqrt(300)*-2 - sqrt(300) - sqrt(300)) + sqrt(300)).
-2*sqrt(2)/15
Simplify 6*(0 + sqrt(45))**2.
270
Simplify 3*(-3 + 5*(sqrt(13) + -1)).
-24 + 15*sqrt(13)
Simplify ((-2*sqrt(84)*1)/sqrt(12))**2 + -5.
23
Simplify sqrt(13)*3*-1*-6 + 2.
2 + 18*sqrt(13)
Simplify 1*((2*sqrt(119))/sqrt(7))**2.
68
Simplify (sqrt(104) + -5*2*sqrt(104))/((sqrt(64)*-1)/sqrt(8)).
9*sqrt(13)
Simplify (2*sqrt(363) - (1 + sqrt(147)))**2.
-30*sqrt(3) + 676
Simplify sqrt(45)/(sqrt(9) + (sqrt(27)/sqrt(3) - sqrt(9))) + (sqrt(10)/sqrt(2)*3)**2.
sqrt(5) + 45
Simplify ((sqrt(54)/sqrt(3))/sqrt(9))**2*-4.
-8
Simplify ((-3 + sqrt(1216) + sqrt(1216)*2 + sqrt(1216) - sqrt(1216)) + sqrt(1216))**2.
-192*sqrt(19) + 19465
Simplify 1 + (3 + -1 + sqrt(243))*3.
7 + 27*sqrt(3)
Simplify 4 + sqrt(1100) + 1.
5 + 10*sqrt(11)
Simplify (((-1*sqrt(550))/sqrt(10))/((sqrt(66)*-1)/sqrt(6)))**2.
5
Simplify (sqrt(2) + 0)*-3 - (sqrt(18) + 2*sqrt(18))/sqrt(9).
-6*sqrt(2)
Simplify (sqrt(396) + 2 + sqrt(396))*1.
2 + 12*sqrt(11)
Simplify (5 + sqrt(468) + 1*sqrt(468))**2.
120*sqrt(13) + 1897
Simplify (4*-1*sqrt(204))/(sqrt(84)/sqrt(63)).
-12*sqrt(17)
Simplify -4*(4 + sqrt(19) + sqrt(76))**2.
-748 - 96*sqrt(19)
Simplify (-5*sqrt(88)/sqrt(4))/sqrt(2).
-5*sqrt(11)
Simplify (1*sqrt(17) + -2)*5.
-10 + 5*sqrt(17)
Simplify ((-4 + sqrt(22)/sqrt(2))*4 + -4)**2.
-160*sqrt(11) + 576
Simplify ((sqrt(19) + sqrt(133)/(sqrt(7)*-1))*-1 + 3)*6.
18
Simplify -1 + 2*-4*sqrt(70)/(sqrt(20)/sqrt(2)).
-8*sqrt(7) - 1
Simplify 6*sqrt(396)*4.
144*sqrt(11)
Simplify (sqrt(2736) + 1 + sqrt(2736))**2 + sqrt(2736) + (0 + sqrt(1900) - sqrt(1900))**2.
60*sqrt(19) + 10945
Simplify -5*(sqrt(171) + 2)*-2.
20 + 30*sqrt(19)
Simplify (-1*sqrt(405)*4)**2.
6480
Simplify (-6*(-1*sqrt(102))/sqrt(6))**2.
612
Simplify (sqrt(168)/(-2*sqrt(8) + sqrt(8) - sqrt(8)))/(sqrt(252)*5 + sqrt(7) + sqrt(7)).
-sqrt(3)/64
Simplify (1*sqrt(300) + -2)**2 + -1.
-40*sqrt(3) + 303
Simplify ((sqrt(1053) + 2)*-3)**2*-4.
-38052 - 1296*sqrt(13)
Simplify sqrt(16)/(-3*sqrt(392)).
-sqrt(2)/21
Simplify (-2*sqrt(180) + -5 - (2*sqrt(180) + -3))**2.
96*sqrt(5) + 2884
Simplify (((sqrt(304) - (sqrt(304) + -1)) + sqrt(304))*3 + sqrt(304))**2.
96*sqrt(19) + 4873
Simplify -3 + (sqrt(17) - 3*sqrt(17)) - sqrt(17) - (sqrt(833) - (sqrt(833) + sqrt(833) + -3)).
-6 + 4*sqrt(17)
Simplify ((sqrt(288) - (-4*((sqrt(288) + 1 - sqrt(288)) + sqrt(288)) - sqrt(288))) + -5 + 1*sqrt(288))**2.
-168*sqrt(2) + 14113
Simplify (sqrt(54)/(1*sqrt(6)) + sqrt(9))/((sqrt(75) - sqrt(3))*5).
sqrt(3)/10
Simplify sqrt(121)/((sqrt(891) + sqrt(11))*3).
sqrt(11)/30
Simplify (sqrt(95) - ((sqrt(95) + sqrt(95)*-1)*-2 + sqrt(95)) | {
"pile_set_name": "DM Mathematics"
} |
inutes are there between 12:08 AM and 3:30 AM?
202
How many minutes are there between 4:41 PM and 10:06 PM?
325
What is 266 minutes after 3:30 PM?
7:56 PM
How many minutes are there between 10:52 AM and 7:40 PM?
528
What is 530 minutes after 7:45 AM?
4:35 PM
What is 697 minutes after 4:05 PM?
3:42 AM
How many minutes are there between 2:23 PM and 9:19 PM?
416
How many minutes are there between 3:46 AM and 12:07 PM?
501
How many minutes are there between 2:22 AM and 4:54 AM?
152
How many minutes are there between 7:54 PM and 12:07 AM?
253
What is 466 minutes after 6:12 AM?
1:58 PM
How many minutes are there between 1:52 AM and 1:56 AM?
4
How many minutes are there between 11:18 PM and 8:38 AM?
560
How many minutes are there between 9:35 PM and 2:53 AM?
318
How many minutes are there between 1:50 AM and 6:00 AM?
250
How many minutes are there between 10:18 AM and 12:34 PM?
136
What is 25 minutes before 11:06 AM?
10:41 AM
What is 410 minutes after 3:33 PM?
10:23 PM
What is 170 minutes after 9:50 AM?
12:40 PM
How many minutes are there between 3:16 PM and 11:32 PM?
496
What is 639 minutes after 7:41 AM?
6:20 PM
What is 639 minutes before 11:34 PM?
12:55 PM
How many minutes are there between 8:31 PM and 8:42 PM?
11
How many minutes are there between 4:39 PM and 2:26 AM?
587
How many minutes are there between 11:11 PM and 6:10 AM?
419
What is 678 minutes after 1:07 PM?
12:25 AM
What is 286 minutes after 9:54 PM?
2:40 AM
What is 568 minutes after 5:17 AM?
2:45 PM
How many minutes are there between 10:07 PM and 2:10 AM?
243
What is 472 minutes before 4:59 AM?
9:07 PM
How many minutes are there between 12:05 AM and 6:19 AM?
374
How many minutes are there between 2:06 AM and 9:53 AM?
467
How many minutes are there between 8:24 PM and 12:24 AM?
240
How many minutes are there between 8:29 AM and 1:15 PM?
286
What is 655 minutes after 11:28 PM?
10:23 AM
What is 160 minutes before 10:28 PM?
7:48 PM
How many minutes are there between 3:23 AM and 7:29 AM?
246
How many minutes are there between 2:05 AM and 9:44 AM?
459
What is 107 minutes after 10:05 AM?
11:52 AM
How many minutes are there between 5:12 PM and 1:06 AM?
474
What is 391 minutes after 4:58 AM?
11:29 AM
How many minutes are there between 12:12 PM and 2:57 PM?
165
How many minutes are there between 1:55 PM and 3:25 PM?
90
How many minutes are there between 8:20 PM and 6:59 AM?
639
What is 664 minutes after 10:41 AM?
9:45 PM
How many minutes are there between 9:55 PM and 6:53 AM?
538
How many minutes are there between 12:05 AM and 5:08 AM?
303
How many minutes are there between 10:04 PM and 5:43 AM?
459
What is 59 minutes after 7:09 AM?
8:08 AM
How many minutes are there between 6:18 AM and 6:06 PM?
708
What is 418 minutes after 2:34 AM?
9:32 AM
What is 643 minutes before 9:33 PM?
10:50 AM
What is 115 minutes after 3:31 AM?
5:26 AM
What is 173 minutes after 11:42 PM?
2:35 AM
What is 325 minutes before 1:16 AM?
7:51 PM
How many minutes are there between 10:45 PM and 2:55 AM?
250
What is 344 minutes after 4:15 AM?
9:59 AM
What is 67 minutes after 5:19 PM?
6:26 PM
How many minutes are there between 2:23 PM and 12:32 AM?
609
How many minutes are there between 5:33 PM and 7:23 PM?
110
What is 110 minutes after 8:13 AM?
10:03 AM
How many minutes are there between 12:25 PM and 5:52 PM?
327
What is 388 minutes before 3:22 PM?
8:54 AM
How many minutes are there between 6:53 PM and 12:11 AM?
318
How many minutes are there between 2:28 PM and 12:40 AM?
612
How many minutes are there between 10:26 PM and 8:51 AM?
625
How many minutes are there between 6:43 AM and 8:13 AM?
90
How many minutes are there between 6:44 AM and 6:30 PM?
706
How many minutes are there between 12:28 PM and 4:28 PM?
240
What is 467 minutes before 3:55 PM?
8:08 AM
What is 470 minutes before 4:54 AM?
9:04 PM
How many minutes are there between 3:32 AM and 10:55 AM?
443
How many minutes are there between 4:46 AM and 8:49 AM?
243
What is 657 minutes before 4:03 PM?
5:06 AM
What is 14 minutes before 6:04 AM?
5:50 AM
What is 643 minutes before 7:18 AM?
8:35 PM
What is 400 minutes before 11:08 PM?
4:28 PM
What is 592 minutes after 9:37 AM?
7:29 PM
What is 235 minutes after 8:38 AM?
12:33 PM
What is 154 minutes before 2:13 PM?
11:39 AM
What is 39 minutes before 1:34 AM?
12:55 AM
What is 401 minutes after 10:37 PM?
5:18 AM
What is 408 minutes after 10:34 AM?
5:22 PM
What is 260 minutes after 1:52 PM?
6:12 PM
How many minutes are there between 9:58 AM and 10:51 AM?
53
How many minutes are there between 5:21 PM and 8:36 PM?
195
How many minutes are there between 5:04 PM and 2:23 AM?
559
What is 492 minutes before 8:47 PM?
12:35 PM
What is 439 minutes after 2:44 PM?
10:03 PM
How many minutes are there between 5:17 AM and 2:55 PM?
578
How many minutes are there between 4:22 PM and 11:34 PM?
432
How many minutes are there between 11:33 AM and 2:34 PM?
181
What is 586 minutes after 5:27 AM?
3:13 PM
How many minutes are there between 8:27 PM and 3:26 AM?
419
What is 136 minutes before 12:55 AM?
10:39 PM
What is 627 minutes after 9:14 PM?
7:41 AM
How many minutes are there between 2:27 PM and 10:52 PM?
505
What is 582 minutes before 4:09 AM?
6:27 PM
How many minutes are there between 2:14 PM and 10:42 PM?
508
What is 313 minutes after 4:00 PM?
9:13 PM
How many minutes are there between 5:55 AM and 8:56 AM?
181
What is 526 minutes after 2:08 AM?
10:54 AM
How many minutes are there between 1:04 AM and 8:38 AM?
454
What is 691 minutes after 4:17 AM?
3:48 PM
How many minutes are there between 3:04 PM and 4:03 PM?
59
How many minutes are there between 9:28 PM and 12:59 AM?
211
How many minutes are there between 11:25 PM and 10:44 AM?
679
How many minutes are there between 9:14 PM and 11:20 PM?
126
What is 293 minutes before 9:08 PM?
4:15 PM
How many minutes are there between 1:16 PM and 6:16 PM?
300
How many minutes are there between 12:20 PM and 1:01 PM?
41
What is 655 minutes after 2:08 PM?
1:03 AM
How many minutes are there between 3:28 AM and 6:08 AM?
160
What is 539 minutes after 10:20 AM?
7:19 PM
What is 204 minutes after 2:31 AM?
5:55 AM
What is 543 minutes after 3:26 AM?
12:29 PM
How many minutes are there between 6:25 PM and 2:26 AM?
481
How many minutes are there between 12:03 AM and 9:55 AM?
592
How many minutes are there between 2:09 PM and 1:58 AM?
709
What is 244 minutes after 3:45 PM?
7:49 PM
How many minutes are there between 1:31 PM and 3:22 PM?
111
What is 286 minutes after 1:24 PM?
6:10 PM
What is 97 minutes before 9:43 AM?
8:06 AM
What is 254 minutes before 1:28 PM?
9:14 AM
What is 238 minutes after 11:54 AM?
3:52 PM
What is 466 minutes after 3:39 PM?
11:25 PM
How many minutes are there between 1:36 AM and 2:45 AM?
69
What is 394 minutes after 2:01 AM?
8:35 AM
How many minutes are there between 4:30 AM and 11:01 AM?
391
What is 443 minutes before 3:39 AM?
8:16 PM
How many minutes are there between 7:34 AM and 7:01 PM?
687
What is 145 minutes after 8:35 AM?
11:00 AM
What is 680 minutes after 3:13 AM?
2:33 PM
What is 332 minutes before 8:16 AM?
2:44 AM
What is 560 minutes after 2:09 AM?
11:29 AM
What is 103 minutes after 1:18 AM?
3:01 AM
How many minutes are there between 4:21 AM and 7:48 AM?
207
What is 501 minutes before 10:30 PM?
2:09 PM
What is 428 minutes before 8:21 AM?
1:13 AM
How many minutes are there between 2:44 AM and 6:11 AM?
207
How many minutes are there between 9:12 PM and 9:14 PM?
2
How many minutes are there between 6:36 PM and 2:22 AM?
466
What is 481 minutes before 4:01 AM?
8:00 PM
What is 137 minutes after 7:50 AM?
10:07 AM
What is 191 minutes before 3:42 PM?
12:31 PM
What is 488 minutes after 7:08 PM?
3:16 AM
What is 552 minutes before 7:45 AM?
10:33 PM
How many minutes are there between 1:58 AM and 11:30 AM?
572
What is 463 minutes after 11:54 PM?
7:37 AM
How many minutes are there between 10:39 PM and 9:57 AM?
678
How many minutes are there between 10:13 AM and 10:46 AM?
33
What is 90 minutes after 2:40 AM?
4:10 AM
What is 332 minutes before 5:58 AM?
12:26 AM
What is 289 minutes after 2:09 PM?
6:58 PM
What is 303 minutes before 3:17 PM?
10:14 AM
How many minutes are there between 12:38 PM and 7:19 PM?
401
How many minutes are there between 11:30 PM and 4:32 AM?
302
How many minutes are there between 4:44 AM and 3:2 | {
"pile_set_name": "DM Mathematics"
} |
080*v**2 wrt v.
-535877520*v
Find the third derivative of 452774*b**6 - 4361547*b**2.
54332880*b**3
Differentiate d*k**2 - 819*d*k - 4*d - 15303*k**2 - 30614120 wrt k.
2*d*k - 819*d - 30606*k
Find the third derivative of -578*n**4 + 800*n**3 - 11*n**2 - 258958*n wrt n.
-13872*n + 4800
What is the third derivative of 187560726*n**4*s + n**3*s**3 + 62768904*n**2*s**3 wrt n?
4501457424*n*s + 6*s**3
Find the second derivative of -8315889*g**3 - 14896062*g.
-49895334*g
What is the third derivative of -337*l**6 + 10385*l**4 + 3503439*l**2 wrt l?
-40440*l**3 + 249240*l
Find the second derivative of -10808031*p**2 - 73048796*p.
-21616062
What is the third derivative of -5241187*x**3 + 340347*x**2 wrt x?
-31447122
Find the first derivative of 6*q**3*r + 3*q**3*u*x + q**2*u*x + q**2 + 1800*q*r*u*x - 2*q*u*x + q*x + 952*r*u - 231*u*x - 5*u wrt r.
6*q**3 + 1800*q*u*x + 952*u
Find the second derivative of -2426323*b**2*g - 3*b**2 + 2193072*b - g wrt b.
-4852646*g - 6
What is the second derivative of -1632548*m**2 + 2073187*m wrt m?
-3265096
What is the derivative of -f**4 - 3882586*f**3 - 2*f**2 - 49417564 wrt f?
-4*f**3 - 11647758*f**2 - 4*f
What is the first derivative of -3*b**3 - 30224897*b**2 - 127641489 wrt b?
-9*b**2 - 60449794*b
What is the derivative of c**3 - 961*c**2 - 4587*c - 182877483 wrt c?
3*c**2 - 1922*c - 4587
Find the second derivative of -149009901*p**3 + 88492014*p wrt p.
-894059406*p
What is the derivative of -4227*c*h*n - 6*c*h*w - 5*c*h - 3*c*n*w - 406*h*n*w - 13729*h + 2*w wrt n?
-4227*c*h - 3*c*w - 406*h*w
What is the first derivative of 339267*q**3 + 2*q**2 - 9*q + 45430953?
1017801*q**2 + 4*q - 9
Find the first derivative of -7526461*p + 2013226.
-7526461
Find the first derivative of -9717783*s**2*t**3 - 2431304*s**2 - s - 4*t**3 wrt t.
-29153349*s**2*t**2 - 12*t**2
Find the second derivative of 30139844*c**3*z**2 - 3*c**3*z + c**2 - 27823*c*z - z wrt z.
60279688*c**3
Differentiate -213845738*d*w - 1206*w + 104079 wrt d.
-213845738*w
Find the first derivative of -909*u**4 + 3123*u**3 + 3*u**2 - 47907579.
-3636*u**3 + 9369*u**2 + 6*u
What is the first derivative of -542338884*f*m**2 - 7*m**2 + 2725*m - 5071 wrt f?
-542338884*m**2
What is the derivative of 4*j**4 + 293705*j**3 + j**2 - 472609489 wrt j?
16*j**3 + 881115*j**2 + 2*j
What is the third derivative of 1526306*t*w**3*y**2 - 2*t*w*y**2 - 23*t*y**2 - 14*w**3*y**2 - 28298*w**2*y**2 - 1 wrt w?
9157836*t*y**2 - 84*y**2
What is the second derivative of -33*t**4 - 1064140*t**2*w + 7*t*w + 24*t - 18*w - 32 wrt t?
-396*t**2 - 2128280*w
Find the first derivative of -9*s**2 + 125264*s + 103313666.
-18*s + 125264
What is the third derivative of 34*j**3*x**4 + 287*j**3*x - 1057*j**3 - 5539*j**2*x**5 + 6*j**2*x**2 wrt x?
816*j**3*x - 332340*j**2*x**2
What is the third derivative of -70245150*y**3 - 2*y**2 + 205*y + 27342?
-421470900
Find the first derivative of -14*w**4 + 6*w**2 + 1517284*w + 722916885.
-56*w**3 + 12*w + 1517284
What is the second derivative of -85078797*q**2 - 3875238*q - 7 wrt q?
-170157594
Differentiate -5*o**3 - 456079*o - 12532891.
-15*o**2 - 456079
What is the second derivative of -875617*h**2*v*z - 2*h**2*v + 7*h**2 + 6*h*v*z - 7*h*z + 4*v*z - 20720*v wrt h?
-1751234*v*z - 4*v + 14
Find the third derivative of 8*r**4 - 53182709*r**3 - 21934*r**2 + 404*r + 1.
192*r - 319096254
Find the third derivative of 16*j**2*n**3 + 2*j**2*n - 8*j*n**3 - 281895*j*n**2 - 50956*n**3 + n**2 + 2*n + 2 wrt n.
96*j**2 - 48*j - 305736
What is the derivative of 1271*a**3*x**2 - 1420*a**3 + x**2 + 899619 wrt a?
3813*a**2*x**2 - 4260*a**2
Find the second derivative of -2901*m**3 + 1438*m**2 - 3529099*m wrt m.
-17406*m + 2876
Find the second derivative of 10*c*v**2*z + 4041*c*v*z**3 - 342279*v**2*z**3 + 215*v*z**3 + v*z**2 wrt v.
20*c*z - 684558*z**3
Find the third derivative of 21503410*t**6 - 371001*t**2 - 2*t + 1.
2580409200*t**3
What is the derivative of -193079270*h + 142509304?
-193079270
Find the second derivative of -14*n**3*o**3 - 882627*n**3*o - n*o**3 + 10*o**3 + 1684*o**2 wrt n.
-84*n*o**3 - 5295762*n*o
What is the second derivative of 352986234*a**2 - 2*a + 215501195?
705972468
What is the third derivative of 2*k**4 + 6503727*k**3 + 2*k**2 + 94997949 wrt k?
48*k + 39022362
What is the second derivative of 57*i**3*x + 25651*i**2*x + 2*i**2 + 15336249*i*x wrt i?
342*i*x + 51302*x + 4
What is the third derivative of -4099787*b**3 + b**2 - 5326*b - 1487?
-24598722
What is the second derivative of -1261709*g**3 - 25329*g - 1583?
-7570254*g
What is the third derivative of -334856884*a**6 + 37651854*a**2?
-40182826080*a**3
Find the first derivative of 12043*r**2 - 941*r + 78156489 wrt r.
24086*r - 941
Find the third derivative of 102*s**3*w**3 + 2*s**3*w**2 + 3*s**3 + 308*s*w**2 + 178243*w**3 + w**2 - 12*w wrt w.
612*s**3 + 1069458
What is the third derivative of 8*g**5 + 19*g**4 - 115*g**3 + 437058*g**2 - 10?
480*g**2 + 456*g - 690
What is the third derivative of 2*d*w**3 + 3*d*w**2 + 8083*d*w - 4216852*w**3 - 11*w**2 wrt w?
12*d - 25301112
What is the third derivative of 106*y**5 - 31*y**4 + 8143*y**3 - 5*y**2 + 33*y + 192190?
6360*y**2 - 744*y + 48858
Differentiate -59829*g*k**3*t - 71*g*k - 2*k**3 + 11*k**2 + 75*t**2 - 674 wrt t.
-59829*g*k**3 + 150*t
What is the first derivative of -226693298*x + 65820659?
-226693298
Differentiate 3*a*z**2 - 2712*a*z - 56848235*a + 45*z**2 - 5*z with respect to z.
6*a*z - 2712*a + 90*z - 5
What is the derivative of 2*f**3 - 11467*f**2 - 60*f + 4191743 wrt f?
6*f**2 - 22934*f - 60
Find the third derivative of -918831103*s**3 - 725038874*s**2.
-5512986618
Differentiate -335743607*p + 172930684 with respect to p.
-335743607
Differentiate 7*z**4 - 312741*z - 3312952.
28*z**3 - 312741
Find the second derivative of 55*f**3 - 1499773*f**2 + 51316*f + 29 wrt f.
330*f - 2999546
Differentiate 9*m*q**2 + 6131*m*q - 7960660*m - q**2 + q wrt q.
18*m*q + 6131*m - 2*q + 1
What is the derivative of 781*y**3 + 58*y**2 + 2*y - 8979291 wrt y?
2343*y**2 + 116*y + 2
What is the second derivative of -19*f**2*g*l**2 - 604*f**2*g*l + f**2*l**2 + 2*f**2*l - 143*f*g + 17047*g*l**2 + 2*g*l wrt l?
-38*f**2*g + 2*f**2 + 34094*g
What is the second derivative of -109109710*a**2 + 56042412*a wrt a?
-218219420
What is the third derivative of 66978041*q**5 + 3*q**4 - 721736028*q**2?
4018682460*q**2 + 72*q
What is the second derivative of -88179123*t**3 + 3879884*t?
-529074738*t
Find the second derivative of 920484542*h**2 - 76541360*h - 3 wrt h.
1840969084
What is the second derivative of 1002*s**4 - 982*s**3 + 3880611*s?
12024*s**2 - 5892*s
Find the second derivative of 12*b**2*k*v**2 + 818*b**2*k*v - 141*b**2*k - 126866*b*k*v**2 - 3*b*v - k wrt v.
24*b**2*k - 253732*b*k
Find the first derivative of -68832442*h**3 - 62495707.
-206497326*h**2
What is the third derivative of 1667*w**6 - 8179*w**3 + 14*w**2 + 28577*w + 4?
200040*w**3 - 49074
What is the first derivative of -171329*n**3*r - 1539*n**3*s + 2*n**3 - 29*n**2*r*s - 5*r*s + 6*r wrt s?
-1539*n**3 - 29*n**2*r - 5*r
Differentiate 34825881*d**2 + 49405477 wrt d.
69651762*d
What is the first derivative of 706756771*q - 1194977952?
706756771
What is the second derivative of 62*i*w**3 + 4*i*w**2 + i + 9*w**3 - 24*w**2 - 5048989*w wrt w?
372*i*w + 8*i + 54*w - 48
Find the third derivative of -6215359*o**3 - 2336903*o**2 - 3*o.
-37292154
Differentiate 46986893*l*q + 78885*l - 315 with respect to q.
46986893*l
Find the third derivative of -771*o*z**3 + 2*o*z**2 - 621*o + 2283*z**4 - z**2 - 9*z - 10 wrt z.
-4626*o + 54792*z
Find the third derivative of 61*c**2*r**4 - 25*c**2*r + 4502*c*r**4 - 2*c*r**2 + 4*c - 406*r + 10 wrt r.
1464*c**2*r + 108048*c*r
Find the second derivative of -242400385*t**2 - 58*t - 4506213 wrt t.
-484800770
Find the second derivative of -3986877*d**4 + 5640375*d wrt d.
-47842524*d**2
What is the second derivative of -4409910*j**2 - 341564*j - 23 wrt j?
-8819820
Find the third derivative of -3339873*h**3*i**2 - 2*h**3 + 3*h**2*i**2 - 98032*h**2 + 18*h*i**2 wrt h.
-20039238*i**2 - 12
What is the third derivative of 142356296*q**5 - 604542760*q**2?
8541377760*q**2
Find the third derivative of 298322441*r**3 + 3446684*r**2 wrt r.
1789934646
Find the third derivative of 4257355*n**3 + 1265441*n**2 + 5.
25 | {
"pile_set_name": "DM Mathematics"
} |
2801809. Let k = l + 0.1025919. Let y = k - -0.29. Round y to 6 decimal places.
-0.000006
Suppose 2*v = 5*v - 6. Suppose 0 = 3*z + 6, 0 = -v*d - 3*d + 4*z + 718. What is d rounded to the nearest 10?
140
Let n(t) = -6*t**2 + 1. Let k be n(-1). Let g be (-2)/(-5) + 12000002/k. Round g to the nearest one million.
-2000000
Let y = -233 + 50. What is y rounded to the nearest 10?
-180
Let f = 0.8 + -0.747. Let x = -2.353 + f. Let d = x + 2.282. Round d to 2 dps.
-0.02
Suppose 0 = q + 3*q. Suppose 0*r - r + 20 = q. Let j be 5/r + (-31198)/(-8). What is j rounded to the nearest 1000?
4000
Let a = 1.2684 + -1.29. Round a to two decimal places.
-0.02
Let s = 0.1 - 1.1. Let h = s + 1.0000054. What is h rounded to six dps?
0.000005
Let m = 256 - -764. Round m to the nearest one hundred.
1000
Let m = 96274621 - 96274624.9999971. Let h = m - -4. What is h rounded to 6 dps?
0.000003
Let y(k) = 4 - 155*k**3 - 6 + k**2 - 3*k + 0*k + 16*k**3. Let q be y(-2). What is q rounded to the nearest one hundred?
1100
Let m = -1.1 + 1.062. Let v = m - -0.0196. What is v rounded to 3 decimal places?
-0.018
Let u = -23 - -23.18. Let x = 0 + u. Let z = x - 0.17956. Round z to four dps.
0.0004
Let p(u) = 8*u**2 + 3*u**2 + 7*u - 74*u**3 + 16 + 10*u. Let n be p(16). What is n rounded to the nearest one hundred thousand?
-300000
Let u = -8 + 7.86. Let b = u - -0.139951. Round b to 5 decimal places.
-0.00005
Let n(y) = -y. Let v be n(5). Let a(c) = -519*c**2 + 4*c - 5. Let k be a(v). What is k rounded to the nearest ten thousand?
-10000
Let z = 3415.4724053 + -3413.2115. Let g = -90.7385047 - z. Let k = 93 + g. Round k to four decimal places.
0.0006
Let t be -3 + 0 - 3/(-3). Let b(g) = -265001*g - 2. Let a be b(t). Round a to the nearest 100000.
500000
Let t = -3.7 + 3.70045. What is t rounded to 4 dps?
0.0005
Let b = 0.38575 + -0.2556. Let v = b - 0.13. What is v rounded to 4 dps?
0.0002
Let y = -751 + 443. Round y to the nearest 100.
-300
Let q(n) = 1. Let h(p) = 11499*p - 4. Let a(t) = h(t) + 2*q(t). Let l be a(-2). Round l to the nearest 10000.
-20000
Let q = -109.907 - -110. Let n = -0.09243 + q. What is n rounded to 4 decimal places?
0.0006
Let l = 142.96976561 - 141.919765. Let r = l + -1.05. Round r to 7 dps.
0.0000006
Let g = -2926.9 - -2927.200045. Let y = g + -0.3. What is y rounded to five dps?
0.00005
Let p = 0.014 - 0.014023. Round p to 5 dps.
-0.00002
Let d(j) = -27733716*j**3 - 2*j**2 - 2*j - 1. Let r = -5 - -4. Let b be d(r). Let s = b + -18333715. What is s rounded to the nearest one million?
9000000
Suppose -5*p - 5*z - 500 = 0, 3*p + 7*z = 2*z - 310. Round p to the nearest ten.
-100
Let x = 4 + 1.1. Let v = 0.9 + x. Let q = -5.999972 + v. Round q to 5 dps.
0.00003
Let w = -318416 + 818416. Round w to the nearest 1000000.
1000000
Let x(a) = -189001*a - 3. Let d(m) = 378002*m + 5. Let l(s) = -4*d(s) - 7*x(s). Let b be l(1). What is b rounded to the nearest 10000?
-190000
Let i = 0.02 - 0.024. Let w = i - 5.196. What is w rounded to the nearest integer?
-5
Let s(x) = 8198*x + 20. Let i be s(10). Round i to the nearest ten thousand.
80000
Let d(a) = a**3 + 5*a**2 + a - 3. Let l be 0*((-3)/6)/(-1). Suppose 4*s + 2*b + 6 = -l*b, 3*s - 3*b = -18. Let t be d(s). Round t to the nearest 10.
10
Let h = 0.899972 - 0.9. Round h to six dps.
-0.000028
Let w = -3.631203 - 5.668961. Let f = w + 9.3. What is f rounded to 5 dps?
-0.00016
Let t = 2.86 + -154.86. Let k = t - -152.000069. What is k rounded to 5 decimal places?
0.00007
Let v = -6.463983 - -6.5189. Let l = -26 - -25.945. Let f = v + l. Round f to five decimal places.
-0.00008
Let n(u) = -u**2 - 8*u - 4. Let i be n(-7). Suppose 4*t = 3*a - 16015, 0*a + 2*a = i*t + 12010. Round t to the nearest 10000.
0
Let w = -10.3 - -10.3000044. What is w rounded to 6 dps?
0.000004
Let n = 10 - 10.06. Let q = 0.05999988 + n. What is q rounded to seven dps?
-0.0000001
Let j be 3/(-9) + 151309/3. Suppose 2*g + 2*h + 2*h - j = 0, 2*h - 126122 = -5*g. Suppose -4*t - 4*i + 8406 = g, i + 5 = 0. Round t to the nearest one thousand.
-4000
Let x = -103.0297 + 103. What is x rounded to three decimal places?
-0.03
Let w = 1123793132 - 1123230048.00152. Let m = w + -563129. Let l = 45 + m. Round l to 4 decimal places.
-0.0015
Suppose 2*b = 10, 4*t + 20 = 3*b - 3. Suppose u = -u + 6. Let a be 9200000 - t - (u - 1). What is a rounded to the nearest one million?
9000000
Suppose -5*n - 20 = 5*d, -4*n = -5*d - 3*n - 2. Let y(p) = 3*p - 17. Let o be y(7). Let s be -1 - o/d - -72. Round s to the nearest ten.
80
Let m(y) = 28*y + 30. Let i be m(-13). What is i rounded to the nearest 10?
-330
Let p = -198 - -283. Let d = 84.59 - p. Let i = d + 3.31. What is i rounded to the nearest integer?
3
Let v be -6 - (-3 + -1 + 7). Let k = 1 - v. Round k to the nearest 100.
0
Let g(c) = 186*c**2 - 9*c + 3*c + 2 - 1. Let x be g(4). Let l = x - 6753. What is l rounded to the nearest one thousand?
-4000
Suppose -1405 - 170 = -5*a. Let h = 215 - a. Round h to the nearest 1000.
0
Let m = -4 - -2. Let f = 1.4 + m. Let n = 0.6000048 + f. What is n rounded to six decimal places?
0.000005
Let g = -2331838.00103 + 2331939. Let b = -0.11 + 101.11. Let m = b - g. What is m rounded to 4 dps?
0.001
Let s = 1.8 + -2. Let x = -0.1981 - s. What is x rounded to 3 decimal places?
0.002
Let h = -21.00000015 - -21. What is h rounded to 7 dps?
-0.0000002
Let p = -159 - -158.999405. What is p rounded to four decimal places?
-0.0006
Let f = 7.003999 - 6.934. Let w = f + -0.07. What is w rounded to five dps?
0
Let l(n) = 28616*n**2. Let t be l(1). Let s = t - 18516. Round s to the nearest one thousand.
10000
Let s = 490 + -490.0000347. Round s to 6 dps.
-0.000035
Let s = 13 - 20. Let a = 7.11 + s. What is a rounded to one dp?
0.1
Let r be 938/(-6) + (-2)/3. Let q = r + 265. Let f = -268 + q. Round f to the nearest 100.
-200
Let v = 24.00031 - 24. What is v rounded to 4 dps?
0.0003
Suppose 0 = -7*s - 1920123 - 627877. What is s rounded to the nearest ten thousand?
-360000
Let j = -17 + 12. Let q = -2 - j. Let m = q - 3.032. Round m to 2 decimal places.
-0.03
Let z = -82.000445 + 82. Round z to five dps.
-0.00045
Let r(d) = -d**3 + 6*d**2 + 14*d - 11. Let n be r(9). Round n to the nearest 10.
-130
Suppose -2*a + 2 = 4*t, -3*a = 3*t - a. Let k be t*((-243)/6)/(-3). What is k rounded to the nearest ten?
30
Let x(u) = -223*u**2 - 5*u - 1. Let y be x(-4). Let w = 1873 + y. Let v = w - -2476. Round v to the nearest one hundred.
800
Let w = 16 + 1. Suppose -2*u - 2 = -2*n - 0, 3*n + 4*u = w. What is n rounded to the nearest 10?
0
Let d = -33.8 + 30. Let o = d - -4. Let j = o - 0.19. What is j rounded to one dp?
0
Let f = -0.048 + -0.279. Round f to 2 dps.
-0.33
Let y = 17 - 16.9993. Round y to 4 dps.
0.0007
Suppose g + 1 + 8 = x, 3*x - 30 = 4*g. Let q be (0 - x)/3 - -6. Suppose 2*r + 126002 = -2*t, q*r + 4*t - 2*t = -252002. Round r to the nearest ten thousand.
-60000
Let l = 0.681 - 0.68100537. What is l rounded to 6 dps?
-0.000005
Let g be (-2642)/(-3) + (-2)/3. Suppose 2*i = i + g. What is i rounded to the nearest 100?
900
Let w = -4306662.5999991 + 4306660. Let x = -2.6 - w. Round x to 7 decimal places.
-0.0000009
Suppose 2*f - 110 = -14. Suppose -5*s - f - 22 = 0. Let y be (-836)/s + (-2)/(-7). What is y rounded to the nearest 100?
100
Let q = 16.09 - 16. Let k = -0.35 - q. Let x = 0.04 + k. Round x to zero decimal places.
0
Let x = -0.7 + 1.23. Let l = x + -0.21. What is l rounded to 1 dp?
0.3
Let z(d) = -d**2 - 6*d - 3. Let l be z(-5). Suppose 3*t + 13303 - 71803 = 0. Suppose c - t = -l*c. What is c rounded to the nearest one thousand?
7000
Let f = -44.942 + 56725.942. Let i = f + -56704.921. Let l = -24 - i. What is l rounded to two decimal places?
-0.08
Let n = 5026418 + -2926418. What is n rounded to the nearest one million?
2000000
Let m = -0.381 + 0.3307. Let k = m - -2.3803. Round k to 1 dp.
2.3
Suppose 3*j - 8*j + 22021 = -3*h, -3 = -h. Suppose 4*r - 394 = j. Round r to the nearest one thousand.
1000
Suppose 3860441 + 1651622 = k. Suppose 3*c - k = 7267937. Suppose -3*d + c = -6*d. What is d rounded to the nearest one hundred thousand?
-1400000
Let k = 3.154 + -3.99. What is k rounded to one decimal place?
-0.8
Let r = -3.30023 - -3.3. What is r rounded to four dps?
-0.0002
Le | {
"pile_set_name": "DM Mathematics"
} |
(1200)*-1) + sqrt(1200)).
sqrt(2)/10
Simplify (1*(sqrt(98) - -4*sqrt(98)*2)*-4)**2*-1.
-127008
Simplify (-2*-1*sqrt(133) + -2*sqrt(133)*-2)/(sqrt(21)/(sqrt(96)/sqrt(2))) + 1.
1 + 24*sqrt(19)
Simplify (sqrt(800)/sqrt(10) + (sqrt(45)/sqrt(9) - sqrt(5))*-4)*3.
12*sqrt(5)
Simplify ((sqrt(2000)*6)/(sqrt(4)*3*-2 - sqrt(4)))**2.
18000/49
Simplify -6*((sqrt(99) - sqrt(99)*4)*3)/(sqrt(324) - 3*sqrt(324)).
-9*sqrt(11)/2
Simplify ((sqrt(26) - (sqrt(26) + sqrt(104)/sqrt(4)*1))*4)/(-5*sqrt(48)/sqrt(6)).
2*sqrt(13)/5
Simplify ((sqrt(320)*-3 - sqrt(320)) + sqrt(5))*6 + ((sqrt(60)/sqrt(6))/sqrt(2))**2 + 5.
-186*sqrt(5) + 10
Simplify ((-2*sqrt(847) + sqrt(847))*3*6*-5*-5)**2.
171517500
Simplify ((sqrt(2268) + 3*sqrt(2268))/(sqrt(441)*-1 + sqrt(9)))**2.
112
Simplify (sqrt(162) + 3*(sqrt(162) - (sqrt(162) - (sqrt(162) + sqrt(162)*-2))) - (sqrt(162) - (-2*sqrt(162) + 5)))**2 - -2*4*(sqrt(162) + 0).
-378*sqrt(2) + 4075
Simplify (sqrt(2)*1 + 4)**2 + -2 + sqrt(8)/sqrt(4) - (-4 + sqrt(40)/sqrt(5))**2.
-8 + 25*sqrt(2)
Simplify (1*((sqrt(60)*-1)/sqrt(12) + 5*sqrt(5)*-2)*6)**2.
21780
Simplify 1 + ((6*1*sqrt(5))**2 - sqrt(45)*-2)*6.
36*sqrt(5) + 1081
Simplify (-5*(sqrt(22)/sqrt(2) + sqrt(11)) + sqrt(11) + (2*sqrt(99) - sqrt(99))/sqrt(9) + -6*-2*sqrt(539) + -1)**2.
-152*sqrt(11) + 63537
Simplify (sqrt(152) + 4*(sqrt(152) - -3*sqrt(152)))/(sqrt(128)*1 + sqrt(128)).
17*sqrt(19)/8
Simplify (sqrt(144)/sqrt(324))/(sqrt(512)*-3 - sqrt(8) - sqrt(8)).
-sqrt(2)/156
Simplify (-1 + -3*sqrt(5) - (sqrt(500)*4 - sqrt(500))) + 3.
-33*sqrt(5) + 2
Simplify -2*(sqrt(5) + sqrt(25)/(sqrt(5) + 3*sqrt(5)))**2 + (sqrt(5) - sqrt(40)/(sqrt(8)*-2)) + -1.
-133/8 + 3*sqrt(5)/2
Simplify ((2*sqrt(95)*2 + sqrt(95))/(sqrt(25)/sqrt(20))*-1)**2.
1900
Simplify (-4*(0 + sqrt(242))*5 - (-4 + 1*sqrt(242) + -4))**2.
-3696*sqrt(2) + 106786
Simplify (sqrt(65) - (sqrt(65) - -2*-1*sqrt(65)))/(-3*sqrt(5)*-1).
2*sqrt(13)/3
Simplify (-2 + (sqrt(22)/(sqrt(12)/sqrt(6)) - (0 + sqrt(1584))))**2.
44*sqrt(11) + 1335
Simplify (((2*sqrt(68) + sqrt(68) - sqrt(17)) + -3 + (0 + sqrt(425) - (sqrt(425) + 1 - sqrt(17))))*4)**2.
-768*sqrt(17) + 10048
Simplify (6*sqrt(405))/((sqrt(81)*2 + sqrt(81))/sqrt(9)) + -5.
-5 + 6*sqrt(5)
Simplify (4 + -5 + (sqrt(637)*-1 + -3)*3 + -3)**2.
546*sqrt(13) + 5902
Simplify (sqrt(52) - sqrt(208)*-5 - (1*sqrt(3328) + sqrt(3328)))/(-3*-2*sqrt(400)).
-sqrt(13)/12
Simplify (-3*(sqrt(192)*1 + 4 + -4))**2.
1728
Simplify -1 + ((1*sqrt(24))/sqrt(2) - 5*(2 + sqrt(3))*-4).
22*sqrt(3) + 39
Simplify (-2 + sqrt(931) - (sqrt(19) + sqrt(304) + -5)) + 0 + -1*sqrt(475).
-3*sqrt(19) + 3
Simplify (sqrt(112)/(sqrt(18)*-6))/((sqrt(800) - sqrt(800)*1*-5) + sqrt(800)).
-sqrt(7)/1260
Simplify ((sqrt(80) + 0)*1 + 1*sqrt(10)/sqrt(2) + 5)**2.
50*sqrt(5) + 150
Simplify 5 + sqrt(5)*3 + 2 - (sqrt(5)*2*4 - 3*-1*sqrt(5)).
-8*sqrt(5) + 7
Simplify (sqrt(2793) - (4*sqrt(2793) + sqrt(2793)) - sqrt(2793))/sqrt(3) + (-4*sqrt(2736))**2 + 3 + 1.
-35*sqrt(19) + 43780
Simplify ((2*(sqrt(315) + sqrt(315)*1 + sqrt(315)))/sqrt(7))/(2*(((sqrt(81) - sqrt(81)*2 - sqrt(81)) + sqrt(81) - sqrt(81)) + sqrt(81))).
-sqrt(5)
Simplify (2 + 3*sqrt(325)*-1)*-4*4.
-32 + 240*sqrt(13)
Simplify -4 + -2 + sqrt(7) + (sqrt(175) + -2 + sqrt(175) + sqrt(175))**2 - sqrt(14)/(sqrt(4)/sqrt(2)*3).
-178*sqrt(7)/3 + 1573
Simplify ((sqrt(312)/(2*sqrt(8) + sqrt(8)) + sqrt(39) - sqrt(39))/sqrt(3) - (sqrt(208) + 0 + sqrt(208)*-2 + sqrt(208))**2) + -2.
-2 + sqrt(13)/3
Simplify (-1 + (-1*sqrt(125))**2 + 3 + -2)*-6.
-750
Simplify (sqrt(55) - sqrt(440)/sqrt(288))/(-2*sqrt(11)*3)*-6.
5*sqrt(5)/6
Simplify ((sqrt(140)/sqrt(5)*4 + sqrt(28))*-5)/(-4*(sqrt(1296) - sqrt(36))).
5*sqrt(7)/12
Simplify 2*((sqrt(2400)*-1)/sqrt(12) + ((sqrt(8)*-1 - sqrt(8)) + 2)**2).
-52*sqrt(2) + 72
Simplify -1 + (sqrt(108)/sqrt(2)*-1)/((sqrt(32)/sqrt(2))/sqrt(8) + sqrt(2)).
-3*sqrt(3)/2 - 1
Simplify -4*1*5*(0 + sqrt(76) + 1).
-40*sqrt(19) - 20
Simplify -1 + (sqrt(18)/(sqrt(24)/sqrt(8)))/(3*sqrt(2)*-3).
-1 - sqrt(3)/9
Simplify 4 + -5 + 2*1*-2*sqrt(468)*4.
-96*sqrt(13) - 1
Simplify -5*(-4 + ((sqrt(5) - -1*sqrt(45)) + (1 + -3*sqrt(5) - sqrt(5)))**2).
15
Simplify (-3*sqrt(4455)*4 - sqrt(4455))/(-5*sqrt(180)).
39*sqrt(11)/10
Simplify (sqrt(18) + 1 + -4 - (5 + -2*sqrt(18)) - sqrt(54)/(5*sqrt(3)*-1))**2.
-768*sqrt(2)/5 + 6208/25
Simplify ((sqrt(54)/(sqrt(32) - sqrt(2)))/(1*sqrt(144)) + -3)**2.
-sqrt(3)/2 + 433/48
Simplify 2 + ((sqrt(125)*-3)**2*-2 - sqrt(125)) - (sqrt(125) + sqrt(125)*2*2 - ((sqrt(125)*2 - sqrt(125) - sqrt(125)) + -3))**2.
-5382 - 155*sqrt(5)
Simplify ((-2*(sqrt(1053) + 0 + sqrt(1053)))**2 - sqrt(78)/(6*(sqrt(6) + sqrt(12)/sqrt(2))))*1*3.
-sqrt(13)/4 + 50544
Simplify (-4*sqrt(560)*-1 + sqrt(560) - sqrt(560) - sqrt(560))/(sqrt(320) - -4*(sqrt(5) + sqrt(45) - sqrt(5))).
3*sqrt(7)/5
Simplify (sqrt(700)*3)**2 + (sqrt(7) + -4)**2*2 + 4.
-16*sqrt(7) + 6350
Simplify ((1 + -3 + 1 + (sqrt(1331) + -2)*-4)*5)**2.
-15400*sqrt(11) + 533625
Simplify (((sqrt(3136) - -1*sqrt(3136))*-2)/(sqrt(700) + -6*sqrt(700)*-1 + sqrt(700)) + -1)**2.
4*sqrt(7)/5 + 53/25
Simplify (sqrt(102) - (1*sqrt(102)*-3 - sqrt(102)))/((sqrt(600) - -1*sqrt(600)) + sqrt(600) + sqrt(600))*3.
3*sqrt(17)/8
Simplify (sqrt(28)*3*3)**2 + ((sqrt(700)*-3 - sqrt(700)) + (sqrt(70) + -3*sqrt(70) - sqrt(70))/sqrt(10))**2.
15211
Simplify (-3*(-1*sqrt(99) + -2 - (3 + sqrt(99)*-1)))**2.
225
Simplify (-5*4*(4 + sqrt(1377)*1) + 4)**2.
27360*sqrt(17) + 556576
Simplify ((sqrt(72) - (sqrt(72) + -2*1*sqrt(72)))/sqrt(4))/((sqrt(729) - -1*sqrt(729) - sqrt(729)) + (1*sqrt(1296) - sqrt(1296)))*-5.
-10*sqrt(2)/9
Simplify (5*(2*sqrt(1225) + sqrt(49))/sqrt(7) + -4 + 3)**2.
-110*sqrt(7) + 21176
Simplify (sqrt(8064) - (sqrt(8064) + (-2*2*sqrt(8064) - sqrt(8064)) + sqrt(8064)))/((sqrt(5760)*3)/sqrt(5)).
4*sqrt(7)/3
Simplify 5 + ((-1*(sqrt(2) + -2) - (1*sqrt(20))/sqrt(10))*5)**2.
-200*sqrt(2) + 305
Simplify (sqrt(19) - (sqrt(228)/sqrt(768))**2) + 0 - (-4*sqrt(304) + -2).
109/64 + 17*sqrt(19)
Simplify (-4 + sqrt(272) + sqrt(272) + -5 - (sqrt(272) - 4*(sqrt(272) - (sqrt(272) + -4) - sqrt(272) - sqrt(272))))**2.
-392*sqrt(17) + 13377
Simplify (((sqrt(102)*4 - sqrt(102))/sqrt(2))/(sqrt(75)*-4))**2.
153/400
Simplify (-4*(sqrt(4) + sqrt(12)/sqrt(3)) - -1*sqrt(400))/(sqrt(800) + (sqrt(800) - sqrt(800)*5)).
-sqrt(2)/30
Simplify (-1 + (2*2*sqrt(2))**2 + sqrt(24)/sqrt(3) + 5)*-6.
-216 - 12*sqrt(2)
Simplify (((sqrt(104) + sqrt(104) + sqrt(104) + -2*sqrt(104))*-6)/(2*sqrt(24)/sqrt(3) - sqrt(8)) + 5)**2.
-60*sqrt(13) + 493
Simplify (2 + sqrt(60)/(sqrt(768)*2) + 4 + -5)**2.
sqrt(5)/8 + 261/256
Simplify ((5 + -6*(-2 + sqrt(153))*3 + -4)*5)**2.
-99900*sqrt(17) + 1273525
Simplify -6*(3*(sqrt(160)/sqrt(5))**2 + (-1*sqrt(128)/sqrt(4))**2).
-768
Simplify -5 + (2*-4*(5 + -3 + sqrt(1377)*4 + sqrt(1377)))**2.
11520*sqrt(17) + 2203451
Simplify sqrt(1900) + ((-3 + sqrt(1900) + sqrt(1900))*-4)**2 - sqrt(95)/(sqrt(405)/sqrt(9)).
-5731*sqrt(19)/3 + 121744
Simplify 3 + (sqrt(119) - (sqrt(119) + (sqrt(119) - (1*sqrt(119)*4 - sqrt(119)))))/(-5*-1*sqrt(7)).
2*sqrt(17)/5 + 3
Simplify (-2*(2 + sqrt(68))**2 + sqrt(119)/((1*sqrt(35))/sqrt(5)))*-5.
75*sqrt(17) + 720
Simplify -6*(2 + sqrt(612) + (sqrt(612) - (-1 + sqrt(612))))**2 + ((sqrt(612) - (0 + sqrt(612)))*3 - (3 + sqrt(612) + 2*sqrt(612)))**2.
-108*sqrt(17) + 1791
Simplify ((-4*(sqrt(91) - (sqrt(91)*1 + sqrt(91)) - sqrt(91)) - sqrt(91))*-4)/(((sqrt(308)*-1)/sqrt(11))/sqrt(4)).
28*sqrt(13)
Simplify (((sqrt(684) - (sqrt(684)*-1 + -1)) + sqrt(684))**2 - sqrt(684)*-1*-5) + 4 + 0.
6*sqrt(19) + 6161
Simplify (4 + 2 + 2*sqrt(2057)*-1)**2*3.
-792*sqrt(17) + 24792
Simplify 4 + ((sqrt(1008) + -1)*-1)**2 + ((sqrt(112)/sqrt(4)*-1)/sqrt(4))**2.
-24*sqrt(7) + 1020
Simplify (-3*-5*(-6*(sqrt(1900) + -2) - (sqrt(1900) + -2)*1))**2.
-441000*sqrt(19) + 20991600
Simplify ((sqrt(120) + (sqrt(120) + sqrt(120) + 1*sqrt(120))*-6)/sqrt(12))/(((-1*sqrt(72) - sqrt(72)) + sqrt(2))*-4).
-17*sqrt(5)/44
Simplify (-3*(sqrt(171) + 4*(sqrt(171) + 2*sqrt(171))))/(4*sqrt(36)*6).
-13*sqrt(19)/16
Simplify ((2*sqrt(228)*-2*5)/((sqrt(12) + sqrt(12) + -2*sqrt(1728))*-1))**2 + 5.
2505/121
Simplify ((sqrt(44) - (sqrt(5324) - (2*sqrt(5324) - sqrt(5324))))/(sqrt(768)/sqrt(12)) + -2)*6.
-12 + 3*sqrt(11)/2
Simplify (-1 + 3*sqrt(147) + 4)**2 - (-4*sqrt(147)*1*1)**2.
-1020 + 126*sqrt(3)
Simplify | {
"pile_set_name": "DM Mathematics"
} |
of x and n.
44
Let q(m) be the third derivative of m**5/30 + 5*m**4/24 - m**3/3 - 3*m**2. Let u be q(-8). What is the smallest common multiple of 2/4 - u/(-4) and 12?
132
Let j(z) = -z**3 - 9*z**2 - 10*z - 8. Let y(m) = m**3 - 10*m**2 - 6. Let r be y(10). Let v(c) = -2*c - 4. What is the lowest common multiple of v(r) and j(-8)?
8
Suppose -3*q + 4*x = -4*q - 3, 0 = -2*q - x + 8. What is the smallest common multiple of ((-27)/(-1))/3 + -2 and q?
35
Let y = 7 - -17. Suppose -i + 4*i + y = 0. What is the lowest common multiple of 2 + 0 - (i - 1) and 4?
44
Let l be -1*3 + (-9)/3. Calculate the common denominator of (-101)/(-12) + (l - -4) and -113/20.
60
Let m(n) = 3*n - 6. What is the least common multiple of m(12) and 3?
30
Let z(p) = -p**3 - p**2 + p - 5. Let c be z(0). Let d(v) = v + 8. Calculate the smallest common multiple of d(c) and 6.
6
What is the common denominator of -59/5 and (-1 - 4)*(-42)/(-100)?
10
Find the common denominator of 19/4 and (-80)/(-12) - -2 - 3.
12
Let n(x) = -x + 2. Calculate the smallest common multiple of n(-8) and 7.
70
Let n(h) = -h**3 + 5*h**2 - 4*h + 6. Calculate the least common multiple of 12 and n(4).
12
Let d = 130/17 + 677/136. Find the common denominator of d and 17/10.
40
Let q = -33 - -61. What is the lowest common multiple of 12 and q?
84
Let c be 5*1/(-2)*-2. Suppose 3*r + 12 = 3*i, -i - 2*i - c*r = 20. Let t(l) = -l + 2. What is the lowest common multiple of 8 and t(i)?
8
Let h(q) = 7*q - 1. Let v be h(-1). Calculate the common denominator of -49/9 and ((-126)/(-75))/(v/(-30)).
90
Let u = 16441/112 - 1042/7. Calculate the common denominator of -71/2 and u.
16
Calculate the common denominator of ((-5406)/265)/(-1*2*1) and -25/8.
40
Let o(a) = a**3 - 17*a**2 + 1. Calculate the least common multiple of 1 and o(17).
1
Let v = -558 - -4455/8. Let u = -33053/15 + 272041/120. Let g = -483/8 + u. What is the common denominator of v and g?
40
Let u = -61/18 + 1/18. Find the common denominator of u and 4/5.
15
Let z = -175511/18 + 9755. Calculate the common denominator of 11/18 and z.
18
Calculate the common denominator of 170/(-2)*(-1)/(-12) and -71/10.
60
Let c = 346 - 509. Calculate the common denominator of 7/4 and 9/15 + c/(-45).
36
Calculate the common denominator of ((-52)/(-18))/(2/(-5)) and 49/9.
9
Let d = 32 + -46. Let y = 20 + d. Let n = 9 - 5. Calculate the lowest common multiple of n and y.
12
Suppose 4 + 16 = -4*b. Let x = b + 13. Calculate the smallest common multiple of (0 - (-10 - 1)) + -2 and x.
72
Calculate the common denominator of 267/(-42) - (-20)/(-35) and -51/8.
56
Let h be (2 - 0)*(-1)/(-1). Suppose j + 0 = h. Suppose -2 = -j*q + 2. Calculate the lowest common multiple of 9 and q.
18
Let u = 19 + -7. Calculate the lowest common multiple of u and 20.
60
Suppose -13 = -3*c + 14. What is the smallest common multiple of 19 and c?
171
Let h = 10 + 2. Let d = 6 + -22. What is the least common multiple of h and (-2)/4*0 - d?
48
Let g(k) = k**2 - 4. Let n be g(6). Suppose -5*f + n = -f. What is the lowest common multiple of f and 14?
56
Find the common denominator of -149/12 and 1 + -1 + 33/24.
24
Let k = 541/4 + -997/8. Calculate the common denominator of 18 and k.
8
Let y be 3 + -6 + 0 - 359. Let s = 2526/7 + y. Let w = -160 + 473/3. Find the common denominator of s and w.
21
Suppose 4 = -4*c + 44. Let n = -3441/2 + 1675. Calculate the common denominator of n and c/(-6)*102/16.
8
Suppose 2*r - 3*z - 111 = 3*r, 3*r = 3*z - 369. What is the common denominator of 99/2 and (-236)/r - (-1)/3?
10
Suppose -39 = -4*m + 33. Calculate the least common multiple of 16 and m.
144
What is the least common multiple of 20 and (-99)/(-4) + 1 + (-18)/24?
100
Let d = -42 - -75. What is the smallest common multiple of d and 10?
330
Suppose 0 = 5*t - 95 + 15. Suppose 0 = 3*d + 2*d + 35. Let b = d + 11. What is the smallest common multiple of b and t?
16
Let k(n) = n**3 + 4*n**2 - n + 1. Let a = -8 + 4. Let c(i) = 3*i - 5. Calculate the least common multiple of c(4) and k(a).
35
Suppose -4*n - n - 3*j - 7 = 0, 14 = -5*n + 4*j. Let y be n*2*318629/72. Let v = y - -17696. What is the common denominator of v and 7/8?
72
Let b = 105305/22 + -4784. Let c be 4/((-16)/(-57))*-4. Find the common denominator of b and c/(-10)*(-1)/3.
110
What is the common denominator of -19/8 and ((-10)/(-195))/(16/6)?
104
Suppose -4*a + 15 = -13. Calculate the least common multiple of a and 1.
7
Let y = 1087/26 + -82/13. Calculate the common denominator of y and 63/100.
100
Calculate the common denominator of 31/4 + (7 - 4) and 51/10.
20
Suppose 13 = 5*l - 42. Suppose l = 4*i - 3*i. What is the smallest common multiple of 2 and i?
22
Let d be ((-2)/(-6))/(1/39). Let t = -5 + d. What is the lowest common multiple of 10 and t?
40
Suppose -4*i = 5*k - 53, 10 = 2*i - i - 2*k. Suppose w - o = i + 4, -5*w + 40 = 5*o. Find the common denominator of (-33)/84 + (-3)/w and -63/22.
154
Let a = 5460 + -2156698/395. Let q = a + -16217/4345. What is the common denominator of 25/9 and q?
99
Suppose -4*v + 7 + 9 = 0. Let k(u) = v*u - u**2 + 5 + 2*u - 2*u. Calculate the smallest common multiple of k(4) and 5.
5
Suppose 2*b = -2*b + 20. Suppose -4*o - 13 - 35 = 0. Let t = 13 + o. What is the least common multiple of t and b?
5
Let n = 115 - 91. What is the lowest common multiple of n and 9?
72
Suppose -4*g + 9 = d, 2 = -2*g - 4*d + 10. Calculate the lowest common multiple of g and 25.
50
Suppose -5*h - 4*b - 6 = 0, 20 = 4*h - 2*h - 4*b. Suppose h = 2*g, 2*g + 9 = 2*j - g. Calculate the least common multiple of j and -24*(4 + -1)/(-6).
12
Let u = -17510/4861 - -53846812/4797807. Let w = u - 7/141. What is the common denominator of w and (2/(-6))/((-1)/55)?
21
Let l be (-2)/1*(-4)/(-8). Find the common denominator of 5/11 and l + 114/(-27) + 1.
99
Suppose 0*k = 5*k - 50. Let o = -3673/7 + 530. Find the common denominator of o and -1 - -3 - 124/k.
35
Let d = -5 - -3. Let b(z) = -5*z + 6*z - 2*z. Calculate the least common multiple of 6 and b(d).
6
Let z(q) = 12*q - 10. Let f be z(8). What is the least common multiple of 16 and 2/4 + f/4?
176
Suppose -10*h - 5*h = -60. Suppose 2*y - 32 = -2*y. What is the lowest common multiple of y and h?
8
Let u be 38/(-2 + 5 - 4). Calculate the common denominator of 73/22 and 12/(-112)*u + -1.
154
Find the common denominator of 87/16 and (-20)/(-30) - 37/(-30).
80
Find the common denominator of -17/7 and 4/6*(-10)/(-150).
315
Let z = 13 + -7. Calculate the lowest common multiple of z and 3 + (0 - 0)/3.
6
Find the common denominator of -121/20 and (-2)/40*(-72)/4.
20
Let d = 12 - 3. Suppose w = -t + d, -5*t + 2*w + 38 = -14. Calculate the smallest common multiple of 18 and t.
90
Let g(c) = 11*c - 3. Let v be g(9). Suppose 3*a - v = 258. Find the common denominator of -41/7 and 2/(-5)*a/(-4).
35
Let k = 31497/8 - 3932. What is the common denominator of 43/16 and k?
16
Let n = 7 - 3. Suppose -29*v + 27*v = -10. Calculate the smallest common multiple of n and v.
20
What is the lowest common multiple of 76/14 + (-42)/98 and 6?
30
Let t(d) = -d**2 - 10*d - 8. Let s be t(-6). Find the common denominator of (-1519)/(-372) + 1/((-6)/(-4)) and ((-92)/6)/(s/(-9)).
8
Let i(k) = -3*k**2 + k. Let n be i(-1). What is the smallest common multiple of (-11)/n*(-24)/(-3) and 2?
22
Suppose 244 - 901 = g. Let m = 6517/10 + g. Find the common denominator of m and -67/8.
40
Suppose -4*u = -3*l + 36, 0 = -2*l - 2*u + u + 24. Suppose -92 = -3*h - 32. Calculate the least common multiple of 448/h + (-6)/15 and l.
132
Let j(h) = -h**2 - 16*h - 10. Calculate the smallest common multiple of j(-15) and 3.
15
Suppose 2*m + m = 3. Suppose 7 + 9 = 8*l. Calculate the least common multiple of m and l.
2
Let x(f) = f**2 + 6*f - 6. Calculate the lowest common multiple of x(-7) and 7.
7
Calculate the least common multiple of 12 and 27*-2*1/(-6).
36
Let k = -264 - -1860/7. What is the common denominator of k and 10?
7
Let c = 1 - 1. Suppose 3*a + 2696 + 7003 = c. Let v = -12995/4 - a. What is the common denominator of 59/9 and v?
36
Suppose 0 = s - 4*s + 9. Suppose -1 = -p, -s*j + 3*p = 2*j - 12. Calculate the least common multiple of 4 and j.
12
Let h = -10965319/18310 - 54/1831. Let r = h - -597. Let k = -5277/10 + 530. What is the common denominator of r | {
"pile_set_name": "DM Mathematics"
} |
e number?
True
Let g be ((-34)/(-6))/(2/60). Suppose -34*u + 117 = -33*u. Let r = g - u. Is r a prime number?
True
Let s(n) = 22*n**2 - 1. Is s(1) a prime number?
False
Suppose 0 = 2*n + 14 - 126. Is -1 + 3 + n + 1 prime?
True
Suppose -n - 1970 = 4*n. Let k = n - -555. Is k prime?
False
Let m(f) = f**3 + 9*f**2 - 10*f - 2. Let x be m(-10). Is 5/((-15)/(-663)) - x prime?
True
Let t(l) = 5*l**2 - 23*l - 5. Is t(-13) a composite number?
True
Suppose -5*m + 10*m = -4*v + 5439, m = 4*v - 5445. Is v prime?
True
Let x be 3093/2 - (-11)/22. Suppose -5*d = -x - 348. Is d a prime number?
True
Let w(v) be the third derivative of v**4/24 + v**3/3 + 7*v**2. Is w(5) prime?
True
Let n(y) = -y**3 - 6*y**2 - 5*y - 8. Let h be n(-6). Let k = h - -91. Is k composite?
False
Suppose u - 1 = 1. Suppose 5*t = -4*v + 323, u*v + 10 = -3*t + 203. Suppose 0*i + 3*i + 4*o = 154, i - o - t = 0. Is i a composite number?
True
Let g(u) = u**2 + u**3 + 3*u**2 - 5*u - 2 + u**2. Is g(-5) a prime number?
True
Let h(f) = 2*f**2 - 3*f - 3. Let u(c) = -c**2 - 6*c + 6. Let v be u(-6). Is h(v) a composite number?
True
Let b be (104/(-13))/(2/(-118)). Is (-3)/((-12)/b) - -3 a prime number?
False
Suppose -2*r = -5*r + 6. Let i be 11/2 + r/(-4). Suppose -2*m + 3*m = -i*p + 476, 4*p + 5*m - 385 = 0. Is p prime?
False
Is -52*((-68)/16 - -3) a prime number?
False
Suppose -5*a + 8 = c, 0 = -2*c + a + 2 + 3. Suppose 104 = -c*u + 851. Is u composite?
True
Let i be ((-18)/8)/(2/8). Let g = 55 + i. Suppose g = 5*c - 409. Is c prime?
False
Suppose 4*c - 5*k - 80 = 0, 3*c - 5*k = 6*c - 60. Suppose c = x + x. Is x a composite number?
True
Let t = 68 + 2111. Is t a prime number?
True
Let f = 215 + -106. Is f prime?
True
Let f(u) = -u**3 + 2*u**2 - 9*u + 3. Let b be f(-9). Suppose 5*g - b = 5*m, 5*g = -m - 418 + 1387. Is g a composite number?
True
Let i(a) = 5*a**3 - 2*a**2 + a. Let r be i(1). Suppose 2*f - 108 = -5*v + r*f, f + 43 = 2*v. Is v a composite number?
True
Let u(v) = 4 + 0*v + 3*v - v**2 + 5*v**2 - 2*v. Is u(3) a prime number?
True
Let j be 4*(1 - 2) - 1829. Is j*(4 + 39/(-9)) composite?
True
Suppose 0 = 7*v - 568 - 853. Is v a composite number?
True
Let f(p) = p**2 + 3*p + 2. Let i be f(-2). Let v(m) = -m**2 + 46. Is v(i) composite?
True
Let w(o) be the third derivative of -11*o**4/24 - 11*o**3/6 - 3*o**2. Is w(-8) prime?
False
Let h = -250 - -553. Is h a prime number?
False
Suppose c = -0*c + 10. Is c prime?
False
Suppose -5*u + 28 - 3 = 0. Suppose -3*c + 611 = -z - z, 0 = -5*z - u. Is c prime?
False
Suppose -5*j - 13 = -3. Let w be 3*123/(-6)*j. Suppose -3*i + 59 = 2*v - 302, 0 = -i + 2*v + w. Is i composite?
True
Suppose 868 = 4*z + 2*h, 2*z + 4*h = -3*z + 1085. Let o = z + -126. Is o prime?
False
Let c(v) = 5*v**2 + 4*v + 3. Let h be c(-4). Suppose 94 = y - h. Is y a prime number?
False
Let q = -12 + 9. Let c(r) = -19*r**3 - 2*r**2 + 3*r + 1. Is c(q) a composite number?
False
Let h(d) = d**2 - 2*d + 7. Let b be h(7). Let z be (-1)/1*(-6)/2. Suppose z*r + 0*r = b. Is r prime?
False
Let y(c) = 5*c**3 + 3*c**2 + 10*c - 1. Let x(h) = 4*h**3 + 3*h**2 + 9*h - 1. Let a(p) = -6*x(p) + 5*y(p). Is a(7) a prime number?
False
Suppose 6*t - 35 = t. Suppose -46 - t = -l. Is l composite?
False
Let v = 57 - 39. Suppose 5*m - 3*t - 39 = 0, m - 3*t - t = v. Is 7*(-4)/m*-3 composite?
True
Let r = -7 - -11. Let k(o) = o**3 - 3*o**2 - 2*o + 6. Is k(r) a prime number?
False
Let r = -252 + 461. Let w = r + -78. Is w a composite number?
False
Let m(b) = 0*b + 1 + 2*b - 1 - 4. Let l be m(-4). Is (-4)/l - (-110)/3 prime?
True
Let p = 4 + -5. Let f = 8 + p. Is f a prime number?
True
Let j be (-5)/(2 + 1*-3). Let z = j + -5. Suppose -5*g + 183 = -4*c + 2*c, z = c - 1. Is g prime?
True
Suppose 0 = q - 5*q + 24. Let r(t) = t**3 - 6*t**2 + 4*t + 7. Is r(q) a prime number?
True
Is (-155)/25 + 6 - (-2096)/5 a composite number?
False
Suppose 5*l - 3*l - 3*p - 18 = 0, -3*p = 12. Let s(f) = -3*f**2 + 3 + 2*f**3 + 3*f**3 + f**l + 6*f - 5*f**3. Is s(5) composite?
False
Let w be ((-2)/4)/((-2)/(-8)*2). Let x = 18 + -13. Let a = x - w. Is a a prime number?
False
Suppose 3*o + 6 = 0, 0 = -4*s + 3*o - 2*o + 762. Is s/4 - (-3)/(-6) a prime number?
True
Let f = 0 - -1. Suppose s + 0 = v + f, -3*v = 3*s + 21. Let i(n) = 3*n**2 - 2*n + 4. Is i(s) a prime number?
True
Is ((-2384)/(-20))/((-6)/(-15)) prime?
False
Suppose -n = -3*n + 298. Is n a prime number?
True
Let u(s) = 3*s**2 - 10*s - 4. Suppose 0*p + 5*p - 45 = 0. Is u(p) composite?
False
Let v(s) = -3*s + 1. Let q be v(-1). Suppose 3*f + 85 = q*f. Is f a composite number?
True
Suppose 9*q - 406 = 7*q. Is q a prime number?
False
Let i(d) = -26*d - 25. Is i(-14) a prime number?
False
Let k = 53 + 17. Suppose 0 = -3*t + 2*x + 10, 5*t + 4*x = -4 + 50. Suppose t*q - q - k = 0. Is q prime?
False
Let v(f) = -f**3 - f + 12. Let t be v(0). Suppose -3*i = -5*i - 8, -t = -l + 3*i. Suppose -158 = -l*k - 2*k. Is k a composite number?
False
Suppose 0 = 4*y - 85 + 13. Let s be (-2)/(-3) - (-798)/y. Let x = s + 10. Is x a prime number?
False
Let t(o) = -2 + 0 - 3*o + 1. Is t(-5) a prime number?
False
Suppose 5*w = -4*c + 30, -w + 6 = 2*w. Let z(f) = 41*f + 5. Let r be z(c). Suppose r + 120 = 2*h - 5*g, 445 = 3*h + 5*g. Is h a prime number?
False
Let u = 3982 - 2765. Is u a prime number?
True
Let b(o) = -108*o - 41. Is b(-14) prime?
True
Let c = 2 - 2. Let s(g) = -g**3 - g + 33. Let q(d) = -1. Let h(v) = -2*q(v) + s(v). Is h(c) a composite number?
True
Let a = 0 - -2. Suppose -365 + 1139 = 5*n - 4*z, 5*n - 782 = a*z. Is n composite?
True
Suppose -2 = 3*a - 4*a. Is a/7 + (-18925)/(-35) a composite number?
False
Suppose -3*t = -6*t. Suppose 0 = 2*h + p - 63, -4*h - p + 4*p + 151 = t. Is h composite?
True
Let b = 2762 + -1855. Is b a composite number?
False
Suppose 10*x = 8*x + 298. Is x a prime number?
True
Let w = 1 - 1. Suppose w*f = -2*f + 66. Is f composite?
True
Let c(r) = -r**2 + r. Let n(p) = 5*p**2 + 3*p + 1. Let z(i) = -4*c(i) - n(i). Let u(h) be the first derivative of z(h). Is u(-7) composite?
False
Let c(q) = -q**3 - 6*q**2 - 3*q + 13. Let y be c(-6). Let s = 0 + 2. Suppose -y = -s*p + 251. Is p prime?
False
Let k = 0 + 2. Is 41/k - 1/(-2) prime?
False
Let q = 288 - 74. Is q a prime number?
False
Let o = -3 - -5. Suppose -5*p + 2*l + 4 = 4*l, 0 = -4*p - 3*l + 6. Suppose -o*a - a + 12 = p. Is a a prime number?
False
Suppose -2*x + 4 = -2*a + 20, 0 = -2*a + 5*x + 10. Suppose -2*p + a = -0*p. Let c(b) = b**3 - 5*b**2 + 3*b - 2. Is c(p) a prime number?
True
Suppose -3*m - d = -4*m + 14, -5*d = -2*m + 28. Let i = m - -7. Is i prime?
False
Let p = 9 - 4. Suppose p*y - 45 = -0*y. Is y a composite number?
True
Let m(w) = w - 6. Let q be m(9). Suppose 2*n + q*n = 1075. Is n prime?
False
Suppose -315 = -4*p - 19. Is p a composite number?
True
Let f be 0 + (-7 - -1)/(-2). Let q(y) = 2*y - 3. Let x be q(f). Suppose 2*s + x*j - 2*j = 39, 5*j - 24 = -s. Is s prime?
True
Suppose -6 = -5*d + 19. Suppose -d*t + 5*m + 35 = 0, -2*t - 5*m = -5*t + 27. Suppose -t = -4*a + 20. Is a prime?
False
Let g = 223 + -159. Let n = g + -9. Is n a prime number?
False
Suppose -3*f - x = 22, -4*f + 2*f - 15 = x. Let o(r) = r**3 + 7*r**2 - 7*r + 6. Is o(f) a composite number?
True
Suppose p - 340 = -3*p - 4*y, 2*y - 419 = -5*p. Is p a composite number?
False
Let q be (2/(-3))/(2/330). Let v = q - -223. Is v a prime number?
True
Let f(w) = w**3 + 4*w**2 + 3*w - 1. Let l be f(-3). Let o be 1*(-4 - -2)/2. Is -1 - o - (l + -18) prime?
True
Let u be 2/3 - (-57)/9. Suppose u*s = 2*s, -5*q + 4*s = -465. Is q prime?
False
Let a = 1460 - 581. Is a prime?
False
Let m(z) = -z**3 - z**2 - 7*z - 5. Is m(-4) a composite number?
False
Let y(c) = 6*c - 2. Let w be y(6). Let h = 57 - w. Is h prime?
True
Let t(r) = r**3 + r**3 + r**2 - 2*r**2 + 3 + 2*r - r**3. Is t(4) a prime number?
True
Suppose -i = 2*h - 383, 4*i - 1096 - 386 = 2*h. Is i composite?
False
Suppose 3*b - 12 = v - 2, -4*b + 10 = -3*v. Suppose -3*y + 2*y + 108 = v*w, 5*w = 3*y + 259. Is w a composite number?
False
Let l(k) be the third derivative of 11*k**4/12 - 2*k**2. Suppose -3*o + 11 = 5*p, p + o = 5*o - 7. Is l(p) a composite number?
True
Suppose s = 2*u + 201, 2*u = 6*u + s + 411. Let p = u + 187. Is p a prime number?
False
Suppose 7*t - 8*t = 1. Is (2/t)/( | {
"pile_set_name": "DM Mathematics"
} |
tor of p and 9?
9
Let o(k) = 41*k + 42. Let g be o(5). Let i = g - 169. What is the highest common factor of i and 104?
26
Let r(i) = -34*i + 2. Let x be r(-3). Let y(p) = -3*p**2 - 44*p - 52. Let o be y(-13). What is the highest common factor of o and x?
13
Suppose f - 85 = 5*w, -12 = 4*f + w - 289. Let q be (f/28)/((-2)/(-4)). What is the highest common factor of q and 60?
5
Let u be (-32)/8 + -1 + 4. Let j(p) = -p**2 - 4*p - 2. Let q be j(u). What is the greatest common divisor of q and 8?
1
Suppose 2*t = -5*p + 15, 0 = 5*t + 2*p + 2 - 8. Suppose t = -4*s + 42 - 10. Calculate the highest common divisor of s and 32.
8
Let h = -4867 - -4927. What is the greatest common factor of 4800 and h?
60
Let d(v) = -1. Let y(z) = -7*z + 27. Let q(w) = 3*d(w) - y(w). Let s be q(10). Suppose -8 = 3*h - 4*h. What is the highest common divisor of h and s?
8
Suppose -3*t = -282 - 3699. Suppose t = 6*a + 307. What is the highest common divisor of a and 10?
10
Suppose -5*s + 1638 = s - 3*s. Calculate the greatest common factor of s and 208.
26
Suppose 5*v - 265 = -3*q - 1, -q + v = -72. What is the greatest common factor of q and 507?
39
Let l = -541 + 560. What is the highest common divisor of l and 247?
19
Suppose 0 = -5*w + 28 + 37. Let z be -1 + (5 - -2) - 18. Let g be (-3)/z - 4568/(-32). What is the greatest common divisor of g and w?
13
Let d = 2156 - 1212. Suppose -r + 13*z + 948 = 9*z, r - d = 2*z. What is the highest common divisor of 47 and r?
47
Let n(j) = -63*j + 946. Let p be n(12). Let k = -350 + 825. Calculate the highest common divisor of p and k.
95
Let p(r) = 4*r**3 + 32*r**2 - 38*r - 346. Let c be p(-7). Calculate the highest common divisor of c and 820.
4
Let i be (-2)/6 + (-1168)/(-48). Suppose -5*d = l - 48, -2*l - i*d + 19*d = -106. Calculate the greatest common factor of l and 406.
58
Let o = -5033 - -5047. Calculate the highest common divisor of 1561 and o.
7
Let v(x) = x**3 - 3*x**2 - 5*x + 12. Let g(m) = 19*m - 90. Let r be g(5). Let q be v(r). Calculate the greatest common divisor of q and 2.
1
Let v = -230 + 230. Suppose -3*t - 11 = -u, v = 5*u + t - 2*t - 13. What is the highest common divisor of u and 6?
2
Let w = 2598 + -2210. What is the greatest common divisor of w and 97?
97
Let g(m) = -2*m**3 + 5*m**2 - 2*m + 1. Let u be g(5). Let c = -90 - u. Suppose -659*r + 36998 + 1347 = -5149. What is the greatest common factor of r and c?
22
Suppose -599 = -7*j + 5*h, -h + 241 = 22*j - 19*j. What is the greatest common divisor of 7585 and j?
41
Suppose 0*c + 6 = 2*c. Suppose -6*r + 2*r - 56 = 0. Let v(y) = y**3 + 16*y**2 + 27*y + 13. Let d be v(r). What is the highest common divisor of d and c?
3
Let s(m) = -2*m**3 - 2*m**2 + 29*m + 160. Let c be s(-5). What is the highest common factor of 301 and c?
43
Let z = 117 - 93. Suppose 5*l - 24 - 21 = 0. Let u be (-3)/l*-8*27. What is the greatest common factor of z and u?
24
Suppose 0 = -2*o + 5*x + 79, 7*o - x - 112 = 4*o. Let g = 48 - o. What is the greatest common divisor of 1 and g?
1
Let w(d) = d**3 + 8*d**2 - 11*d + 9. Let h be w(-9). Let f = h + 68. Let i = 43 - 24. Calculate the highest common divisor of i and f.
19
Let r = -108 - -113. Suppose -9 = 3*v, 9*s - 3*v + 716 = 14*s. What is the highest common factor of s and r?
5
Let a be (-164)/(-8) - 5/(-10). Suppose m + 4*r + a = -11, 5*r = 3*m + 79. Let v = m - -56. What is the greatest common divisor of v and 8?
4
Let h(p) = 24*p**2 - 45*p + 654. Let g be h(8). What is the highest common divisor of 130 and g?
10
Let f be (-12)/(-1)*(-21)/(-6). Let a(r) = 4*r**2 + 936*r + 20958. Let z be a(-24). What is the highest common divisor of f and z?
42
Let f(c) = c**3 - 8*c**2 + 4. Let v be f(8). Suppose -20 = -v*b + 4. Suppose s - 1 = b. Calculate the highest common factor of 7 and s.
7
Let v(a) = 4*a + 48. Let y be v(-11). Let g = 7 - 4. Let n be (1842/y)/g - 6/12. Calculate the greatest common factor of n and 17.
17
Suppose -16*g - 56 = -88. Let f = g - -412. Calculate the greatest common factor of 9 and f.
9
Suppose 104*n - 185380 = -26*n. What is the highest common divisor of n and 372?
62
Let c(n) = 680*n - 5371. Let w be c(8). Calculate the highest common factor of w and 5451.
69
Let a = 357 + -159. Suppose -172 = -11*v + 26. What is the greatest common factor of v and a?
18
Suppose -69 = -3*s - 5*q + 86, -139 = -4*s + 3*q. What is the greatest common factor of s and 2624?
8
Let x = 5777 + 3167. What is the greatest common factor of 208 and x?
208
Suppose -12*n + 55 = -257. Calculate the highest common factor of 1352 and n.
26
Let i(z) = 24*z - 12. Let k be i(3). Suppose 3132 = -k*v + 78*v. What is the highest common factor of v and 435?
87
Let l(h) = 2*h**2 + 126*h + 2820. Let f be l(-42). Calculate the highest common factor of f and 1419.
33
Let z be (2/3)/((-98)/(-12789)) + 5. Calculate the highest common divisor of 1219 and z.
23
Let d(r) = -23*r**3 + 4*r**2 - 2*r - 1. Let x be d(2). Let p = 582 - 860. Let f = x - p. Calculate the greatest common divisor of f and 15.
15
Suppose 3*o + 2320 = 8*o - 4*a, -2*o + 951 = 3*a. Let n(i) = i**3 - 56*i**2 - 140*i + 1410. Let b be n(58). What is the greatest common divisor of o and b?
18
Let v = 2976 - -2141. Calculate the highest common divisor of 85 and v.
17
Suppose 2*k + 2 = 8. Suppose 6 = 3*r, 2*a - 2 - 10 = k*r. Suppose -a*i + 6*i = -3. Calculate the highest common factor of i and 5.
1
Let l be 14 - (-13)/(208/9376). Calculate the highest common divisor of l and 850.
50
Let x be (210/27 - -1) + 68/(-18) + 4. Suppose -34 = -2*y - h + 3*h, 5*y = -h + 91. Calculate the greatest common divisor of x and y.
9
Suppose -8 = 4*a, 1590 = 9*j - 5*j - 3*a. What is the greatest common factor of j and 27?
9
Suppose 0 = -8*u + 65 + 207. Suppose u*a - 81 = 31*a. Suppose 1147 = 14*v + a. Calculate the greatest common factor of 32 and v.
16
Suppose 3*g - 65 - 85 = 12. What is the greatest common divisor of g and 2862?
54
Suppose 117*f + 62 = 119*f. Calculate the greatest common factor of 589 and f.
31
Let x be 38/(-14) - (-2)/(-7). Suppose -2150 = -54*p - 2*p - 30*p. Let t = x + p. Calculate the highest common factor of 22 and t.
22
Let a = -90 + 96. Suppose -a*f + 10*f + 272 = 0. Let r = f + 88. What is the greatest common factor of r and 30?
10
Suppose -6*c + 2 = 14. Let s be (0/(4/(c + -2)))/(-2). Suppose -44 = -o - s*o. What is the greatest common divisor of 396 and o?
44
Let z be (-13)/(14 + (-1206)/90 + (-8)/5). Let n = 225 + -134. Calculate the greatest common factor of z and n.
13
Suppose 0 = -14*r - 15*r + 29. Let i be ((12/21)/r)/(10/35). Let v(o) = 2*o - 5. Let s be v(5). Calculate the highest common factor of i and s.
1
Suppose -4997 + 1682 = -17*b. Let f = b - 89. Calculate the greatest common divisor of f and 106.
106
Let t be (18/(-10))/(1*18/(-60)) - 4. What is the highest common divisor of 2342 and t?
2
Let v(p) = 59*p + 303. Let o be v(-5). Suppose -y - 3*i + 46 = 0, -2*y + 3*i = y - 114. Calculate the highest common divisor of o and y.
8
Suppose 4*x - 237 = -p, -14*p + 9*p = -2*x + 135. What is the greatest common factor of x and 4240?
20
Let f be -1*(0 - (4 + -5)*-1). Let j(k) = 33*k - 19. Let p be j(f). Let o = 832 + -594. What is the highest common divisor of p and o?
14
Suppose -s + 255150 = 47*s - 6*s. Calculate the highest common factor of 3 and s.
3
Suppose 125*v - 172*v = -95598. What is the highest common factor of v and 18?
18
Suppose 559 = -34*y + 899. Calculate the highest common factor of y and 7295.
5
Let g = 4 - 111. Let j = -91 - g. Let b be 1*(-1 - -2)*8. What is the highest common factor of j and b?
8
Suppose -15*l = -12128 - 367. Calculate the greatest common divisor of l and 102.
17
Let k = -422 + 501. Suppose 3*j - k = -d, -d + 4*j = 3*d - 300. Calculate the highest common divisor of 57 and d.
19
Let p(l) = 4*l**2 + 187*l + 268. Let c be p(-48). Calculate the greatest common divisor of 7493 and c.
127
Let m(g) = 6756*g**2 + 12*g + 16. Let l be m(-1). What is the greatest common divisor of 104 and l?
104
Let s = -412 + 434. Suppose -6*u = s - 28. What is the greatest common factor of 2 and u?
1
Suppose 8 = 2*t + 2*d, 3*t + t - 5*d - 25 = 0. Suppose -44*i - 50*i = 0. Suppose i*k = -t*k + 30. What is the greatest common divisor of k and 12?
6
Let c(u) = -2*u**3 - | {
"pile_set_name": "DM Mathematics"
} |
51*n*t + 5 wrt n?
12*n*t - 24890544*n
What is the second derivative of -187932012*o**2*y**2 + o*y**2 + 4*o*y - 3*o - 5*y**2 - 12655*y - 33 wrt o?
-375864024*y**2
Find the third derivative of -821*j**2*w**3 + 2*j**2*w**2 + 67*j**2 - 12176*j*w**3 - 8*j*w**2 + j*w - w**2 + 31*w wrt w.
-4926*j**2 - 73056*j
Find the second derivative of -2164*h**2*n*p**2 + 305070*h**2*n*p - 21*h*n + 796*n*p**2 wrt p.
-4328*h**2*n + 1592*n
Differentiate 2*k**2*w - 6*k**2 - k*w + 3561*k + 5126187*w wrt k.
4*k*w - 12*k - w + 3561
Differentiate -98406742*s**3*x**2 - 53*s**3 + 718459*s**2 wrt x.
-196813484*s**3*x
Find the second derivative of -71697960*k**5 + 104448004*k wrt k.
-1433959200*k**3
Find the first derivative of -4*z**3 + 2*z**2 - 6466674*z - 65506253.
-12*z**2 + 4*z - 6466674
What is the derivative of -26491832*f*r + 1749*f*t + 311*r*t - 2*r + 24*t wrt t?
1749*f + 311*r + 24
What is the third derivative of 16312984*b**3*k*l**3*m + 3*b**3*k*l**2 - 2*b**3*l**2*m - 4*b**2*l**2 - 2161*b**2*l*m + b*k*l**3*m - 2*b*k*m - b*m wrt l?
97877904*b**3*k*m + 6*b*k*m
Find the first derivative of -1280615*a*p**3 - 2171*a - 222*p**3 - 23309 wrt p.
-3841845*a*p**2 - 666*p**2
Find the second derivative of 11*f*j**4 - 784*f*j + f - 509241*j**5 + 4*j - 42 wrt j.
132*f*j**2 - 10184820*j**3
What is the second derivative of -t**5 + 11819041*t**2 - 26217200*t wrt t?
-20*t**3 + 23638082
Find the first derivative of -1063*a*b**3*i - 9931*a*i**3 + 8155*b**3*i**2 + 208*b**2*i**3 wrt a.
-1063*b**3*i - 9931*i**3
What is the second derivative of -16*v*z**2 + 28663*v*z + 6*v - 168514*z**2 wrt z?
-32*v - 337028
What is the third derivative of 134498556*o**3 + 168349513*o**2?
806991336
Differentiate 98*b**2 + 113514*b + 39225977 wrt b.
196*b + 113514
What is the third derivative of -15462679*r**3 - 46*r**2 - r - 140136?
-92776074
What is the third derivative of -4053001*f**2*u**3 - 4*f**2*u**2 - 955*f**2 - 2*f*u**2 + f*u - 2*f - 52*u**2 wrt u?
-24318006*f**2
What is the third derivative of -12687509*m**3 - 32468*m**2 + 83*m?
-76125054
Find the third derivative of -24636138*c**5 - c**4 + 5*c**3 + 212*c**2 + 1870*c + 47 wrt c.
-1478168280*c**2 - 24*c + 30
Find the first derivative of 427926696*o**2 - 452836685.
855853392*o
Differentiate -43937*d**2 + 3884*d - 364477747 with respect to d.
-87874*d + 3884
Find the third derivative of 31620811*g**4 + 178*g**2 + 10724*g wrt g.
758899464*g
What is the third derivative of 48*c**3*f**2*m - 43619*c**3*f*m - c**2*f**2*m - 53*c**2*f**2 + c**2*f + 605*m wrt c?
288*f**2*m - 261714*f*m
What is the derivative of 570675675*q**4 - 868188277?
2282702700*q**3
Find the third derivative of 11961*b**4 + 186*b**3 + 10*b**2 - 17*b + 514 wrt b.
287064*b + 1116
Find the third derivative of -19827486*b**4 - 26983300*b**2 wrt b.
-475859664*b
Find the second derivative of 80*r*t**3*v - 8*r*t**2*v + 2*r*t*v - 39*r*t + 6*r*v + 3*r + 517*t**3*v - t*v + v wrt t.
480*r*t*v - 16*r*v + 3102*t*v
Find the first derivative of 1429*t*z**2 + 3*t*z - 53740*t + 36483205*z**2 + 11 wrt t.
1429*z**2 + 3*z - 53740
What is the third derivative of 3505*i**3*j**5 + 14207*i**3*j**3 - 4912445*i**3*j + i*j**2 wrt j?
210300*i**3*j**2 + 85242*i**3
What is the derivative of -217767112*m**3 + 296475675 wrt m?
-653301336*m**2
Differentiate 1064743*x**4 + 139*x**2 + 157174127 with respect to x.
4258972*x**3 + 278*x
Find the first derivative of 144*w**2 + 327468*w - 162314058.
288*w + 327468
What is the derivative of 364*o**3*y - 470*o**3 - 2*o**2*y + 337*o*y + 4*o + 3*y + 754 wrt y?
364*o**3 - 2*o**2 + 337*o + 3
Find the first derivative of -12117*o*y**3 + 7*o*y**2 - 92*y**3 + 2495*y wrt o.
-12117*y**3 + 7*y**2
Find the second derivative of 1320384*j**2*o**2 + 674138*j**2*o + 7*j**2 - 2*o**2 wrt o.
2640768*j**2 - 4
What is the third derivative of 2*h**5 + 3097189*h**4 + 8565899*h**2 + 4*h wrt h?
120*h**2 + 74332536*h
Find the first derivative of 46*p**2*y**4 + 140915*p**2*y - 2*p**2 + 1356985*p + 2 wrt y.
184*p**2*y**3 + 140915*p**2
Find the second derivative of -37577379*h**4 + 2*h + 197816 wrt h.
-450928548*h**2
What is the second derivative of -13692598*k**5 + 34*k**3 + 26314048*k - 17?
-273851960*k**3 + 204*k
Find the third derivative of 32340982*g**3*p**3 + 2*g**3*s + g**2*s + 11*g*p**3 - 51*g*p*s + 649*g + 2*p**2*s wrt g.
194045892*p**3 + 12*s
Find the second derivative of 1934*f*i**3 + 2*f*i**2 - 2*f*i + 3292*f + 4*i**3 - 2*i**2 + 1064 wrt i.
11604*f*i + 4*f + 24*i - 4
Find the second derivative of 3*d**3*q - 10*d**3 + 28*d**2*q + 36*d**2 + 5*d*q - 27*d - 2*q - 624 wrt d.
18*d*q - 60*d + 56*q + 72
Find the first derivative of 5090650*h + 879723 wrt h.
5090650
What is the second derivative of 16228636*b**2 - 9706278*b?
32457272
What is the third derivative of 30988714*l**6 - 3194880*l**2 + l wrt l?
3718645680*l**3
Find the second derivative of i**2*t**2 + 5*i**2*t + 71*i**2 - 33915*i*t**2 + 48*i*t + 2*i - 36*t**2 - 7*t wrt t.
2*i**2 - 67830*i - 72
What is the second derivative of 59904*i**3 + 59*i**2 + 12905026*i?
359424*i + 118
Find the first derivative of 214*t**3 + 6*t**2 + 87*t + 18134824.
642*t**2 + 12*t + 87
What is the second derivative of -11704117*o**5 - 50114415*o wrt o?
-234082340*o**3
What is the third derivative of -637567247*d**3*x**3 + 3*d**3*x - 59*d**3 + 5*d**2*x**2 - 953*d**2*x - 3*d - 2 wrt x?
-3825403482*d**3
Find the second derivative of -3*h**4 + 153102*h**3 + 9*h**2 - 13*h + 7325115 wrt h.
-36*h**2 + 918612*h + 18
What is the derivative of -19384381*r**4 + 68043166?
-77537524*r**3
What is the first derivative of 7179679*g + 38039487 wrt g?
7179679
What is the second derivative of -9*n**3 - 892298*n**2 + 19980787*n?
-54*n - 1784596
What is the second derivative of 24133*d**4 - 1765*d**2 - 17248703*d + 2?
289596*d**2 - 3530
Find the second derivative of -15176232*a**3*p**2 - a**3*p + 9*a - 3184*p + 21 wrt p.
-30352464*a**3
Find the second derivative of -575277819*n**3 - 743866545*n.
-3451666914*n
Find the third derivative of 754*q**6 - 317*q**4 + 2*q**3 - 1886279*q**2 - 2*q wrt q.
90480*q**3 - 7608*q + 12
What is the second derivative of 61*a**3*c**3 - 2*a**3 + 2*a**2*c + 262*a**2 + 136*c**4 - 3*c**3 - 1719*c wrt c?
366*a**3*c + 1632*c**2 - 18*c
Find the first derivative of -50*m*n**3 - 6598793*m*n*p + 760*n**3*p - 155215*n**2*p wrt m.
-50*n**3 - 6598793*n*p
Differentiate 1387259*f*x**2 + 7218581*x**2 with respect to f.
1387259*x**2
What is the first derivative of -910120314*d**4 - 452409988 wrt d?
-3640481256*d**3
Find the third derivative of -10465237*h**6 + 9*h**4 + 45938807*h**2 wrt h.
-1255828440*h**3 + 216*h
What is the first derivative of -n**3 - 33275981*n**2 + 65680210 wrt n?
-3*n**2 - 66551962*n
What is the first derivative of 102362215*t + 74426361 wrt t?
102362215
Differentiate 732966*h**3 - 3182606 with respect to h.
2198898*h**2
Find the second derivative of -5*q**5 + 32*q**4 - 11893*q**3 + 2444673*q + 3 wrt q.
-100*q**3 + 384*q**2 - 71358*q
Find the third derivative of -96565355*p**3*t - 58687*p**2 + 217*p*t wrt p.
-579392130*t
Differentiate 97254812*v - 313622181 wrt v.
97254812
Differentiate -1607*b**3*g - 18901*b**3*h + 63*b**2*h**2 - 3470*g*h**2 with respect to g.
-1607*b**3 - 3470*h**2
What is the second derivative of -3*s**5 - 2*s**3 + 167393*s**2 - 6641088*s?
-60*s**3 - 12*s + 334786
Find the first derivative of -459*b*c + 268*b*g**2 + 2*b - 13*c*g - c - 120*g**3 + 378 wrt g.
536*b*g - 13*c - 360*g**2
Differentiate -83013455*q + 32817019.
-83013455
Find the second derivative of -702657660*r*y**3 - r*y - 322530*r - 2*y + 44 wrt y.
-4215945960*r*y
Differentiate -102*z**4 + 9*z**2 - 284*z - 12886546 with respect to z.
-408*z**3 + 18*z - 284
What is the third derivative of 7814324*j**4*l**2 + 5*j**4*l - 205*j**2*l**2 - 3*j**2 - 57*j*l**2 + j*l + 15 wrt j?
187543776*j*l**2 + 120*j*l
Find the first derivative of -7*f**4 + 20*f**3 - 4420*f**2 + 10375754.
-28*f**3 + 60*f**2 - 8840*f
Find the third derivative of -60*h**4 + 892*h**3*u*v + 250*h**3*v - 66*h**2*v - 30*h**2 - h*u*v + 3431*h*v + 5*u*v wrt h.
-1440*h + 5352*u*v + 1500*v
What is the second derivative of 47129*u**2*z**4 + 14*u**2*z**3 - 879*u**2*z - u**2 + 27*u wrt z?
565548*u**2*z**2 + 84*u**2*z
Differentiate 1158*k*l**2 + 2*k*l + 49*k + 4*l**2 + 3*l - 188506 wrt l.
2316*k*l + 2*k + 8*l + 3
What i | {
"pile_set_name": "DM Mathematics"
} |
ange (-b**3 + 2 - 2)*(211 + 38*b + 97 - 39*b) to g*b + v*b**3 + s*b**4 + p + u*b**2 and give v.
-308
Rearrange (-1796 - 149*v**2 + 1796)*(3 - 3 + 2)*(-v + 2*v - 3*v) to s*v**3 + j*v**2 + w*v + d and give j.
0
Rearrange (-79 - 8 - 30 + 0)*(-3*k + 3*k - 7*k) to the form w*k + o and give w.
819
Express -4479*h - 2*h**3 + 4479*h - 72*h**2 as i*h**3 + d + y*h**2 + z*h and give d.
0
Express (1 + 1324*y + 1310*y - 2619*y)*(1 + 1 - 3) in the form w*y + v and give w.
-15
Rearrange m**3 + 0*m**2 + m**2 + 2*m**3 - 4*m - 16*m**3 to s*m**3 + d*m**2 + o + k*m and give d.
1
Express -54 - 50*r**2 + 48*r**2 - 82 in the form o*r**2 + d*r + m and give o.
-2
Rearrange -6049*w - 5836*w + 12628*w to y + v*w and give v.
743
Rearrange 9756*f**3 + 3*f**2 - 9511*f**3 - f**2 + 2 to the form j + i*f**3 + u*f + v*f**2 and give j.
2
Express -8*y + 28 + 19*y - 2*y**2 - 11*y - 2*y**3 in the form j*y**2 + q*y + u*y**3 + n and give j.
-2
Express (-108*n + 56*n + 125*n)*(0 + 3 - 2) in the form i*n + p and give i.
73
Rearrange -69 - 61*i - 69 + 138 to the form u*i + h and give u.
-61
Rearrange -2*z - 18 + 30 + 35 + 108 + 2*z**2 to the form c + g*z**2 + d*z and give d.
-2
Express -4*f + 3*f**3 + 7*f + 12*f + 4*f - f**2 in the form d + p*f**2 + y*f + u*f**3 and give u.
3
Express -19*q + 137*q + 75*q + 56*q in the form p*q + j and give p.
249
Express 16 - 11 + 6 - 407*k - 11 as h + y*k and give y.
-407
Rearrange 150*d - 28*d + 294*d to the form b*d + a and give b.
416
Rearrange (-2*w + 6*w - 2*w)*(4 - 2 - 1) + 2 - 2 + 2*w + 1 - 1 - 14*w + (-2 - 2*w + 2)*(0 + 3 - 2) - 4*w + w + 2*w + w - 1 + 1 to the form v*w + a and give v.
-12
Express (107 - 54 + 1034 - 235 + 1170)*(-r + 3*r - r) as s*r + a and give s.
2022
Express -5 - 4 - 4 + 13 - 1190*p in the form d*p + r and give r.
0
Express -3*k**2 + 47*k + 0*k**2 - 36*k - k**2 - 142*k as n*k + q + y*k**2 and give n.
-131
Express (-115 + 13*m - 11*m + 35)*(4*m - m + 6*m) as d + o*m**2 + l*m and give o.
18
Rearrange 3 - 424*p + 22 - 25 to z + f*p and give z.
0
Express (153 - 443 + 159)*(-2 + 4 + 0)*(3 + x - 3) in the form b*x + h and give b.
-262
Rearrange f + 0*f**2 + 50*f**4 - 51*f**4 - f**2 - 2*f to h + v*f**4 + g*f**3 + n*f + s*f**2 and give n.
-1
Rearrange (82 + 235 - 7)*(-l + 2*l - 2*l)*(-2 + 1 - 1) to g*l + a and give g.
620
Rearrange (-1 + 2 + 1)*(-3*j + j + 0*j) + 80 + 129 - j - 19 to the form c*j + u and give u.
190
Express s - 27*s**3 - 25*s**3 + 2*s**2 + 17*s**4 - 1 + 58*s**3 in the form l*s**3 + z + y*s**2 + u*s**4 + r*s and give y.
2
Rearrange 403*n - 65*n - 66*n + 403*n + 118*n to b*n + d and give b.
793
Rearrange 3 + a**3 - 259*a + 5*a**2 + 262*a + 0*a**3 + a**4 to the form s + k*a + h*a**4 + m*a**3 + c*a**2 and give h.
1
Rearrange j**2 + 13*j**3 + 3*j + 14*j**3 - 5*j - 25*j**3 + 22*j**4 to m*j + u + g*j**4 + l*j**3 + x*j**2 and give g.
22
Express (-g**3 - 4*g**3 + 4 + 4*g**3 + (-1 - 14 + 2)*(-2*g**3 + 0*g + 0*g))*(3*g + 2 - 7 + 4) as q*g**2 + c*g**3 + v*g**4 + k*g + l and give v.
75
Express 36 - 23 + l - 5*l - 6*l + 22 as z*l + s and give z.
-10
Rearrange -40 + 87 + v**2 + v - 34 to the form k*v**2 + i + o*v and give i.
13
Express (-6 + 14 + 10)*(-p**2 + 3*p - 3*p) - 4*p**2 - 19 + 19 in the form j + u*p**2 + m*p and give u.
-22
Express -4*y**2 + 6924*y**3 - 3455*y**3 - 3463*y**3 + 6 as p*y**2 + m*y**3 + x + i*y and give m.
6
Express (-296 + 571 - 314)*(0 + 1 + 1)*(2*q - 3*q + 0*q)*(1 - 3 + 4) as h*q + z and give h.
156
Rearrange (-1320*f + 4 - 4 - 2110*f - 528*f)*(2*f**3 - 4*f**3 + 3*f**3) to the form a*f**2 + k*f**4 + i + o*f**3 + q*f and give k.
-3958
Rearrange -53*a + 412 - 412 + 0*a + 0*a + a + (-3 + a + 3)*(1 + 2 - 1) - 4*a - a + 6*a to the form n*a + b and give n.
-49
Rearrange 1 + 220*a**3 - 670*a**3 + 229*a**3 + 18*a**4 - 2*a + 224*a**3 + 2*a**2 to o + u*a**3 + k*a**2 + l*a**4 + j*a and give j.
-2
Express 18 + 21 + 20 + 677*w**2 - 59 as l*w**2 + c*w + h and give h.
0
Rearrange m**3 - 28 - 37 + 2*m**4 + 25 to the form d*m**4 + r*m**3 + p + c*m + y*m**2 and give d.
2
Express 68*g**4 - 7*g**2 - 4*g - 70*g**4 + 2*g**3 + 0*g**3 + 1 + 4*g in the form d + y*g + u*g**2 + s*g**4 + t*g**3 and give s.
-2
Express -4*b**2 + 3*b**2 + 544713*b - 544715*b + 11*b**4 + 2 in the form k*b**3 + r*b + l*b**2 + n*b**4 + s and give r.
-2
Express -134*j**2 + 1 - 1418*j + 1418*j in the form c*j + r*j**2 + l and give r.
-134
Express 16*q - 60*q - 50*q + 10*q in the form y*q + f and give y.
-84
Express -2 + 1418*z - 60*z**2 + 9*z**3 - 1418*z as y + m*z + a*z**2 + j*z**3 and give y.
-2
Rearrange (0*h + 2*h**3 + 0*h)*(-1742 - 1873 + 2881) to t*h + s*h**3 + x + d*h**2 and give s.
-1468
Express -3*o**2 - 934 + 1856 + o**2 - 1022 as b*o**2 + y*o + i and give b.
-2
Rearrange 2 - 1165*v**2 + 1334*v**2 - 4 to q*v**2 + y*v + l and give q.
169
Rearrange 1 - 3*u**4 - 82*u**2 - 3*u**4 + 2*u**3 - 3*u + 81*u**2 to the form q*u + o*u**2 + w*u**4 + t + n*u**3 and give o.
-1
Rearrange -23*b**2 + 3*b - 3*b - 82*b**2 to m + f*b**2 + q*b and give m.
0
Express (9*i + 19*i + 141*i)*(5*i - 2*i - i)*(1 - 3 + 4) in the form r*i**2 + j*i + v and give r.
676
Rearrange (126 - 127 + 0*i - 2*i)*(-4*i + 5*i - 4 - 2) to the form r*i + j*i**2 + t and give j.
-2
Express -3 + 17 - 2*f**4 + 4*f**2 + 3*f**3 - 26*f - 2*f**3 + 24*f as z*f**3 + n + g*f**4 + b*f + k*f**2 and give g.
-2
Rearrange -3*q**3 + 6*q**3 - 4*q**3 + (q - 2 + 2)*(-2*q - 6 + 6)*(-q - 2 + 11 - 8) to the form x*q**2 + a*q + d + c*q**3 and give c.
1
Express 1376 - 2*s - 14*s - 1369 as h*s + q and give q.
7
Rearrange -23 - 1 + 77*b**3 - 72*b**3 + 194*b**2 - 193*b**2 to the form y*b**3 + c*b**2 + x*b + t and give c.
1
Express -39*q - 125 + 125 in the form b + z*q and give z.
-39
Express (2*j - 2*j + 3*j)*(34*j + 40*j + 44*j + 15*j - 6*j) as x + n*j + o*j**2 and give o.
381
Express -p**3 + 5*p**3 - 5*p**3 + (7*p**2 + 0*p**2 - 2*p**2)*(-30*p + 5 + 34*p - 4) as a*p + i + u*p**3 + t*p**2 and give a.
0
Rearrange 134*t - 90*t + 249*t to the form p + i*t and give i.
293
Rearrange (3*o - 3*o - 2*o)*(15*o + 11*o - 9*o + (13 + 2 + 3)*(2*o + 3*o - 3*o)) to z*o**2 + v + c*o and give z.
-106
Rearrange (-2*n**2 + 0*n**2 + 3*n**2)*(0*n + 2*n + 4*n)*(1 + 3 - 5) + 625*n - 625*n + 29*n**3 to c + y*n**2 + g*n + p*n**3 and give p.
23
Rearrange 940*l - 318*l + 137*l to q*l + s and give q.
759
Rearrange -33*w**2 + 0 + 22*w**2 + 2 - w**2 to the form d*w + x + t*w**2 and give x.
2
Express (4*s**2 + 4*s**2 - 5*s**2)*(66*s + 349 - 349) + 2*s**3 + 2*s**3 - 3*s**3 as n + i*s**2 + p*s**3 + x*s and give p.
199
Express 20*d**4 - 168 - d**3 - 12*d**2 + 168 - 64*d**4 in the form g*d**4 + b + q*d**3 + n*d + v*d**2 and give g.
-44
Express -3*n**4 - 4 + 9*n - 2*n**2 - n**3 - 2*n + 3*n**2 - 6*n + 0*n in the form b*n**4 + v + i*n + g*n**2 + l*n**3 and give i.
1
Rearrange -m - m + 3*m + 0*m + 3*m - 6*m - m + 4 - 4 + (0 + 0 - 2)*(-m + m - 2*m) - 5*m - 19*m - 4*m + 2*m - m - 2*m to k*m + h and give k.
-28
Express 4*y**3 - 29 - 25 - 274 - 2*y**3 - 74 in the form q*y**2 + s*y**3 + m*y + l and give l.
-402
Rearrange 4*s - 3*s - 3*s - 11428 + 9567 to the form r*s + b and give b.
-1861
Rearrange (-5*i - i + 0*i)*((4 + 2*i - 4)*(-3*i**2 + 2*i**2 - i**2) - 11*i**3 - 2*i**2 + 2*i**2) to the form p + z*i**2 + x*i**3 + y*i + v*i**4 and give v.
90
Rearrange 16 + 181*x - 181*x - 336*x**2 - 16 to d*x**2 + z*x + n and give d.
-336
Rearrange 196*p + 6*p**2 + 2 - 203*p - 363*p - 5*p**2 - 2*p**2 to j*p**2 + x*p + o and give o.
2
Rearrange (-4*s + 2*s + 0*s)*(-9 + 4 - 2) + (3 - s - 3)*(5 + 1 - 2) to x*s + k and give x.
10
Express (-8 + 0 + 22)*(-4 + 0 - 2)*(0*x + 2*x + 0*x) in the form v*x + s and give v.
-168
Express (-2006 + 416 - 1856)*(-2*o**2 - 5*o**2 + 5*o**2) in the form d*o**2 + i + k*o and give d.
6892
Rearrange 1 - 2*s**3 - s + 1 - 6*s**3 - 11*s**3 + 23*s**3 to the form o*s**3 + n*s + g*s**2 + m and give n.
-1
Rearrange (3 + 27382*d - 13623*d - 13106*d)*(0 + 0 - 3) to the form t + n*d and give n.
-1959
Rearrange -28 - 22*o**4 + 0*o**2 + 27 + 2*o**2 + 2*o + 0*o**2 + 9*o**4 to l*o**2 + t + x*o**3 + u*o**4 + v*o and give u.
-13
Express (-5*c - 48*c + 0*c)*(-1 - 2*c + 1) + (2*c - 2 + 2)*(0*c - 3*c + c) - 3*c**2 + 0*c**2 + 9*c**2 as u + m*c**2 + p*c and give m.
108
Express -623*q**3 + 516*q**3 + 420*q**3 - 2*q as b*q**2 + y*q**3 + n + o*q and give b.
0
Rearrange -7* | {
"pile_set_name": "DM Mathematics"
} |
5)*3 - sqrt(1225)) + sqrt(1225) - sqrt(1225)) + sqrt(1225)))/((sqrt(77)*1)/sqrt(11)).
-60*sqrt(7)
Simplify (5*(-5 + sqrt(11) + 0 + 0 + -3))**2*5*-1.
-9375 + 2000*sqrt(11)
Simplify (sqrt(117) - (0 + (2*sqrt(117))**2)) + 2*3*sqrt(117) + -3.
-471 + 21*sqrt(13)
Simplify -3 + (1 + sqrt(162)*1 - sqrt(162) - (-3 + 1 + sqrt(162))).
-9*sqrt(2)
Simplify (1 + (0 + sqrt(567) - sqrt(567)) + sqrt(567) + -3)**2 - ((-2*sqrt(175) - sqrt(175)) + 3 + -4).
-21*sqrt(7) + 572
Simplify (-2*sqrt(1134)*-2)/((-1*sqrt(28) - sqrt(28) - sqrt(28))*2).
-3*sqrt(2)
Simplify (sqrt(25)/(-2*sqrt(320)) - ((4 + sqrt(320) - sqrt(320)) + 0))**2.
sqrt(5)/2 + 4101/256
Simplify (-5*2*sqrt(102) + sqrt(102) + (sqrt(102)*-2 + sqrt(102))*-5)/(-6*(sqrt(6) - sqrt(24)/sqrt(4)*-3)).
sqrt(17)/6
Simplify -5*(1 + sqrt(637))*-4 - (0 + 1*sqrt(637) + 5).
15 + 133*sqrt(13)
Simplify -1*(-1*sqrt(8))**2*-3*3.
72
Simplify 4 + (5 + sqrt(5)*3 + 3)**2 + (-3*(sqrt(720)*4)**2 - sqrt(720)).
-34447 + 36*sqrt(5)
Simplify 4 + (2*(sqrt(99) + -2) - (6*1*sqrt(110))/sqrt(10))**2.
20
Simplify (5 + 4*(sqrt(1008) + (sqrt(1008) + 0)*6)*1)**2.
3360*sqrt(7) + 790297
Simplify (sqrt(2106) - (sqrt(2106) + 2*sqrt(2106)))/sqrt(2)*-1 + -1.
-1 + 18*sqrt(13)
Simplify -5*(-1*sqrt(98))**2 + (2 + sqrt(98) + 3)**2 + -2.
-369 + 70*sqrt(2)
Simplify -2*(-4*sqrt(143)*1 + sqrt(143) - sqrt(143) - (sqrt(143) - sqrt(143)*2)*-6)/(sqrt(44)/(1*sqrt(4)*2)).
40*sqrt(13)
Simplify ((sqrt(156) + sqrt(156) + (sqrt(156) - -2*sqrt(156)))*2 - sqrt(156)*2*-6)/(sqrt(60)/sqrt(45) + (sqrt(12) + (sqrt(12) - sqrt(192)) + sqrt(12))*-4).
66*sqrt(13)/13
Simplify (2*-3*-1*sqrt(17) - (2 + (sqrt(187) + 2*sqrt(187) + sqrt(187))/sqrt(11))**2) + 2 + 4.
-270 - 10*sqrt(17)
Simplify -2*((-1 + ((2*sqrt(13))**2 - sqrt(13)) - (sqrt(208) + 0)) + (-2*sqrt(468) + 1)**2).
-3848 + 58*sqrt(13)
Simplify (-6*-2*sqrt(72))**2 + -4 + ((-1*sqrt(80))/sqrt(4))/(1*sqrt(10)*6 + sqrt(10)).
-sqrt(2)/7 + 10364
Simplify -5*(sqrt(245) + sqrt(245) + -1) - (-3*sqrt(180) + -4)**2.
-1631 - 214*sqrt(5)
Simplify ((sqrt(352)/(sqrt(64)/sqrt(2)))/(sqrt(324)*1 - (sqrt(4) + -6*sqrt(36) - sqrt(4))))**2.
11/2916
Simplify (-3 + -3 + sqrt(500) + (-1 + sqrt(500) + sqrt(500) - sqrt(500)) + 5 + sqrt(500) + 1 + -4*sqrt(500))**2.
20*sqrt(5) + 501
Simplify (((sqrt(9) + sqrt(9)*-1*4 - sqrt(9))*-3)/((sqrt(15)*-1)/sqrt(5)*-4))**2.
27
Simplify ((5*(sqrt(8) - sqrt(288)))/(sqrt(8)/(-3*sqrt(2))) + 3)**2.
450*sqrt(2) + 11259
Simplify ((sqrt(1539) + sqrt(1539) + -1 + -4 - (-1 + sqrt(1539) + -1)) + 2)**2.
-18*sqrt(19) + 1540
Simplify ((1 + (4 + 0 + sqrt(432) + sqrt(432))*5)*-5)**2*6.
756000*sqrt(3) + 6546150
Simplify -1*(-2 + -2 + sqrt(612) + sqrt(612) - (sqrt(612) - (sqrt(612) + -1)*-6)**2).
-516*sqrt(17) + 30028
Simplify (4*sqrt(132)*-5)/((sqrt(12) - (sqrt(12) - sqrt(12)*-3))*1).
20*sqrt(11)/3
Simplify (-1*sqrt(132)*2)/sqrt(12) - (4 + (-1*sqrt(132))/sqrt(12)).
-4 - sqrt(11)
Simplify (-4*2*((sqrt(162) + sqrt(18))*-4)/sqrt(9))**2.
32768
Simplify ((sqrt(242) + 1*sqrt(242)*-3 - (-4 + 2 + sqrt(242)))*-2)**2.
-528*sqrt(2) + 8728
Simplify ((sqrt(117) + sqrt(117) + sqrt(117)*2 + sqrt(117))*-5)/sqrt(9) + (4 + sqrt(65)/sqrt(5) + 2)**2.
-13*sqrt(13) + 49
Simplify (sqrt(21)/(sqrt(21)/sqrt(3)) + (sqrt(300)*-2)**2)*-5.
-6000 - 5*sqrt(3)
Simplify ((2 + sqrt(396) - sqrt(11))**2 - (-4 + 1*sqrt(11))) + sqrt(1100)*5 + -4.
69*sqrt(11) + 279
Simplify 4 + (0 + sqrt(304))**2 - ((sqrt(304) + (sqrt(304)*-1 - sqrt(304)) + sqrt(304))**2 + 2) - ((5*sqrt(171))**2 + sqrt(228)/(sqrt(72)/sqrt(6))).
-3969 - sqrt(19)
Simplify (sqrt(12)/(sqrt(363)*3))/(1*sqrt(14)/(sqrt(42)/sqrt(6))).
sqrt(2)/33
Simplify (sqrt(14)/sqrt(2) + 0 + sqrt(7) + sqrt(1008)*-1)**2 - sqrt(84)/(2*sqrt(12)*4).
-sqrt(7)/8 + 700
Simplify (sqrt(250) + (sqrt(250) + (sqrt(250)*-3 - sqrt(250) - sqrt(250)))*-6)/((sqrt(5) - sqrt(10)/(-4*sqrt(2)))*-5).
-20*sqrt(2)
Simplify ((sqrt(72)*3 + sqrt(72) - sqrt(72))/((sqrt(400) - 1*sqrt(400) - sqrt(400)) + sqrt(4)))**2.
2
Simplify 5 + (sqrt(77)/sqrt(7) + -5)**2 - (sqrt(704) + 2)*4.
-42*sqrt(11) + 33
Simplify (5 + 4 + sqrt(612)*-3*-5)**2.
1620*sqrt(17) + 137781
Simplify (-5*sqrt(156)*1 + sqrt(156)*2*-2)/((sqrt(12) + sqrt(1728)*-3 + sqrt(12))*-3).
-3*sqrt(13)/34
Simplify (-3*(-3 + -1 + sqrt(19) + sqrt(19)) - -3*sqrt(228)/(sqrt(12) + sqrt(12) + sqrt(588)))**2.
-136*sqrt(19) + 6787/9
Simplify -3 + (sqrt(660)/(sqrt(110)/(1*sqrt(10))))/(-2*sqrt(12)*3 + (sqrt(972) - sqrt(972)*2)).
-3 - sqrt(5)/15
Simplify (sqrt(204) + (6*(-4*sqrt(204) - sqrt(204)) - sqrt(204)))/(sqrt(12) - (sqrt(144) - (sqrt(144) - (sqrt(144)*-3 + sqrt(144))))/sqrt(12)).
-10*sqrt(17)
Simplify (sqrt(152) + (sqrt(152) - (sqrt(152)*1 + sqrt(152)) - sqrt(152))*-1)/sqrt(8) + -4 + sqrt(1216) + -2.
-6 + 11*sqrt(19)
Simplify -2 + ((sqrt(88) + sqrt(88)*2*3 + sqrt(88))/sqrt(8) - (-1 + (-1*sqrt(11)*-4)**2)).
-177 + 8*sqrt(11)
Simplify (1 + -5*(1 + sqrt(50)) + -4 + 2 + sqrt(450)*1)**2.
120*sqrt(2) + 236
Simplify (sqrt(45) - (sqrt(720)*3 + sqrt(45)))/(sqrt(27)/sqrt(3)*-6) + -5.
-5 + 2*sqrt(5)
Simplify -4*(-4*(sqrt(21) + 1*sqrt(21)*1))/((-5*sqrt(7)*-1 - sqrt(7))*5).
8*sqrt(3)/5
Simplify 5 + (1*(-1 + sqrt(847)) + -5 + 0)**2.
-132*sqrt(7) + 888
Simplify ((sqrt(119)/(sqrt(28)/sqrt(4)) + -3 + sqrt(102)/(sqrt(72)/(sqrt(12)*2) + sqrt(6)))*3)**2*-2.
-1012 + 180*sqrt(17)
Simplify (6*(4 + -6*sqrt(72) - sqrt(72)*-6*2))**2.
10368*sqrt(2) + 93888
Simplify -1 + (-4*sqrt(320)*-1 + 4*(2*sqrt(320) + sqrt(320))**2)*2 + 5.
64*sqrt(5) + 23044
Simplify 1 + (sqrt(416)/(sqrt(72)*-2))/(sqrt(4) + -3*2*sqrt(4) + sqrt(16) + sqrt(16)*-2).
sqrt(13)/42 + 1
Simplify (0 + sqrt(125) + -3 + sqrt(125) - (0 + sqrt(125) + -1*sqrt(125)) - (2*sqrt(125)*-5 + (sqrt(125) - (1 + sqrt(125)) - sqrt(125)) + 4))**2.
-780*sqrt(5) + 21161
Simplify -4*(1 + sqrt(567) + sqrt(567) + sqrt(567))**2*-2 - (6*1*sqrt(70))/(sqrt(10) - ((sqrt(360) - sqrt(360)*-2) + sqrt(360))).
9942*sqrt(7)/23 + 40832
Simplify 4 + (sqrt(200) - (-1 + sqrt(200)))**2*6 + -1.
9
Simplify (4*(5 + sqrt(171)))**2 - (sqrt(171) + (sqrt(171) + sqrt(171) + (sqrt(171) + sqrt(171)*6 - sqrt(171)) + sqrt(171))**2*4).
-52268 + 477*sqrt(19)
Simplify (sqrt(152)*5)/(sqrt(2) + sqrt(6)/(sqrt(3)*-2)) + -6*(5 + sqrt(931) + 0).
-22*sqrt(19) - 30
Simplify -4 + 3 + (-6*(sqrt(18) + -1*sqrt(18)))/(sqrt(9) + sqrt(72)/sqrt(2))*2.
-1
Simplify (-3*(2 + sqrt(45) + (sqrt(45) + 1)*-3 + 2))**2.
-108*sqrt(5) + 1629
Simplify (sqrt(119) - -2*(sqrt(119) - (sqrt(119) + 1*sqrt(119))) - (sqrt(119) - -6*(sqrt(119)*-1 - sqrt(119))))/(-2*sqrt(84)/(-1*sqrt(12))).
5*sqrt(17)
Simplify (sqrt(15)*-2)/sqrt(5) - sqrt(33)/(2*sqrt(11)) - (5*sqrt(3)*-2 - ((sqrt(3) + 2)**2 + -5 + sqrt(3))).
2 + 25*sqrt(3)/2
Simplify (sqrt(2448) + 0)*5 - 1*(sqrt(1088) - 2*sqrt(1088)).
68*sqrt(17)
Simplify -2*(-1*(1 + sqrt(637))**2 + (4 + sqrt(13)*-1)**2*-3).
-20*sqrt(13) + 1450
Simplify 4*(3*sqrt(104)*-5)/(sqrt(96)/(sqrt(12)*-3)).
180*sqrt(13)
Simplify (sqrt(15)/(-1*sqrt(192)) - (-6*sqrt(180) + 1))**2.
-287*sqrt(5)/4 + 411909/64
Simplify 0 + sqrt(1250) + sqrt(50) - (4 + ((sqrt(2) - sqrt(8)) + 2)**2).
-10 + 34*sqrt(2)
Simplify (sqrt(240)/(sqrt(8) + 6*sqrt(64)/sqrt(8)))/(-3*(-2*sqrt(384) + sqrt(384)) - sqrt(384)).
sqrt(5)/112
Simplify (sqrt(156)*-1*5)/(sqrt(768) + -2*sqrt(768)) - (2 + 3*(1 + sqrt(325))**2).
-980 - 235*sqrt(13)/8
Simplify ((sqrt(250) + (sqrt(250) + -5*sqrt(250) + sqrt(250))*-5 + sqrt(250))/sqrt(5))/(sqrt(120)/(3*-1*sqrt(12))).
-51*sqrt(5)
Simplify ((2 + -3 + -3*sqrt(68))*-5)**2.
300*sqrt(17) + 15325
Simplify 1 + (4*(sqrt(28)/sqrt(4) + sqrt(7)) + (2*(sqrt(7) + -3) - sqrt(7)))**2.
-108*sqrt(7) + 604
Simplify (-4*(sqrt(45) + sqrt(45)*2)*-4)/((sqrt(9) - sqrt(882)/sqrt(2) - sqrt(9))*6).
-8*sqrt(5)/7
Simplify -3 + 6*((sqrt(125) - (sqrt(125)*2 + -4))*-2*-4)**2.
-15360*sqrt(5) + 54141
Simplify 3*(3 + sqrt(1872)*-1 + sqrt(13) + -5 + 1 + sqrt(13))**2.
60*sqrt(13) + 3903
Simplify (sqrt(210)/(sqrt(49)/(sqrt(7)*1)))/((2*sqrt(1000) - sqrt(1000))*-5 - sqrt(1000)).
-sqrt(3)/60
Simplify (-1 + -5*(sqrt(162) - (-3*(sqrt(162) + sqrt(162)*2) + sqrt(162))) + 5)**2.
-3240*sqrt(2) + 328066
Simplify (-2 + (sqrt(19) - 1*sqrt(931)) - (sqrt(76) - (-2*sqrt(76) + -3)))**2.
120*sqrt(19) + 2761
Simplify ((-1 + (-1 + (sqrt(242) - (sqrt(242) + -4*sqrt(242)*1)))*-1)*2)**2.
15488
Simplify -4 + -4 + (2*sqrt(132))/(1*sqrt(44))*1.
-8 + 2*sqrt(3)
Simplify ((sqrt(28) - sqrt(112)* | {
"pile_set_name": "DM Mathematics"
} |
- 1032. What is y(13)?
-161
Let r(q) = 2*q**3 + 189*q**2 - 7210*q + 1359. Calculate r(29).
-4
Let h(y) = -129579*y - 518313. Calculate h(-4).
3
Let g(v) = -v**3 + 22*v**2 - 124*v + 271. What is g(14)?
103
Let w(i) = -2*i**2 - 33*i - 507. Give w(-15).
-462
Let g(x) = -x**2 - 76*x + 116216. What is g(-381)?
11
Let g(z) = -103*z**3 + 828*z**2 + 101*z - 1086. Calculate g(8).
-22
Let z(l) = l**2 + 401*l + 8043. What is z(-21)?
63
Let w(v) = -188*v + 28506. Determine w(145).
1246
Let z(x) = 5*x**2 + 946*x - 6857. Give z(7).
10
Let f(d) = 226*d**2 - 438*d - 5. Determine f(2).
23
Let s(z) = 19*z**2 - 370*z + 2060. Determine s(10).
260
Let b(p) = -28614*p - 28612. What is b(-1)?
2
Let k(z) = -z**2 - 589487*z + 4715964. Give k(8).
4
Let g(s) = 97*s + 584. Determine g(-6).
2
Let o(f) = -4*f**2 - 78*f + 896. What is o(-42)?
-2884
Let q(b) = -4642*b - 5059. Determine q(-1).
-417
Let g(z) = 3*z**2 + 4707*z + 241042. What is g(-1516)?
-2
Let r(g) = -70*g**2 - 40241*g + 5345. Calculate r(-575).
170
Let v(t) = -4342*t - 8698. Calculate v(-2).
-14
Let u(t) = 3*t**3 + 17*t**2 - 53*t + 516. Calculate u(-12).
-1584
Let o(i) = -1466*i - 29053. Calculate o(-20).
267
Let f(a) = -a**3 - 11*a**2 + 4001*a + 40028. Give f(-10).
-82
Let q(u) = -4*u**2 + 510*u + 14876. Calculate q(152).
-20
Let j(c) = 7921*c + 7938. Calculate j(-1).
17
Let u(a) = -107*a + 35395. Calculate u(313).
1904
Let s(z) = 2*z**2 - 1306*z + 176412. Calculate s(462).
-72
Let a(o) = o**3 + 361*o**2 + 357*o - 1088. What is a(-360)?
-8
Let q(y) = -4*y**2 + 32*y - 179. Determine q(13).
-439
Let t(l) = 48765*l**2 + 438883*l - 24. Give t(-9).
-6
Let r(k) = -2*k**3 + 145*k**2 + 1739*k + 513. Calculate r(83).
181
Let q(p) = -4*p**2 + 53027*p - 159035. Give q(3).
10
Let p(k) = 6*k**2 + 544*k + 1386. Determine p(-88).
-22
Let p(w) = 53983*w + 539855. Give p(-10).
25
Let n(k) = -15675*k + 1285356. What is n(82)?
6
Let w(j) = -j**3 - 215*j**2 - 2624*j + 21. Give w(-13).
-5
Let v(u) = 13*u**2 + 9184*u + 9186. Give v(-1).
15
Let v(q) = 2176*q**3 + 23937*q**2 + 4*q - 81. Calculate v(-11).
-4
Let k(w) = w**2 + 2140*w + 858652. Determine k(-535).
-23
Let p(d) = -2956*d + 159633. Calculate p(54).
9
Let a(h) = -188*h**2 + 3512*h - 8. Calculate a(19).
-1148
Let w(v) = -43*v**2 - 296*v - 31. Give w(-7).
-66
Let v(o) = 16*o**3 + 9*o**2 + 1851*o - 1861. Give v(1).
15
Let v(q) = -q**3 + 72*q**2 - 931*q - 235. What is v(55)?
-15
Let y(l) = -3*l**3 + 899*l**2 + 344*l - 13358. Calculate y(300).
-158
Let g(c) = -2*c**2 + 400*c + 6269. Give g(-14).
277
Let z(u) = 2*u**2 + 173*u - 283. Determine z(-103).
3116
Let f(p) = -78*p + 17954. Give f(228).
170
Let f(u) = 62*u**2 - 1922*u - 19349. Calculate f(-8).
-5
Let q(c) = -125*c**2 - 464*c - 25. Calculate q(-5).
-830
Let w(g) = 14779*g - 7525. What is w(1)?
7254
Let f(z) = -9961*z**2 - z - 3. Determine f(0).
-3
Let y(b) = -b**2 - 2454*b - 29323. Give y(-12).
-19
Let n(b) = 121844*b**2 - 852915*b + 37. Give n(7).
-12
Let n(d) = -3*d**2 - 938*d - 73309. Determine n(-157).
10
Let f(g) = 2*g**3 - 6*g**2 - 248*g - 1502. Determine f(-6).
-662
Let o(j) = -j**3 - 13*j**2 + 401*j + 2616. Give o(-6).
-42
Let z(t) = -2*t**3 - 375*t**2 - 925*t + 4. Determine z(-185).
4
Let f(u) = -28*u**2 + 2271*u + 6859. What is f(84)?
55
Let b(s) = -3*s**2 - 340*s + 19554. Calculate b(42).
-18
Let b(d) = -3*d**2 - 15*d + 552. Determine b(17).
-570
Let w(q) = -1156*q + 7535. What is w(6)?
599
Let w(v) = v**2 - 3970*v + 506595. What is w(132)?
-21
Let t(g) = 8*g**2 + 864*g + 21046. Determine t(-71).
30
Let i(d) = -13*d**2 - 1304*d + 379. Determine i(-100).
779
Let g(p) = 403*p - 83730. Calculate g(209).
497
Let f(a) = 4862*a + 24410. Calculate f(-5).
100
Let d(s) = -s**3 - 208*s**2 - 9436*s - 96134. Calculate d(-149).
-29
Let d(n) = -161*n**2 - 21907*n - 1495. Calculate d(-136).
1
Let p(n) = -68714*n - 1099422. Give p(-16).
2
Let d(q) = 117*q - 11645. Determine d(101).
172
Let n(r) = -21*r**3 - 122*r**2 - 92*r + 63. What is n(-4)?
-177
Let h(j) = 7*j**3 + 5*j**2 - 10*j - 181. Give h(-6).
-1453
Let g(b) = 87*b + 16509. What is g(-225)?
-3066
Let u(b) = 2*b**2 - 194*b - 15505. Calculate u(-52).
-9
Let d(j) = 328*j + 19533. What is d(-61)?
-475
Let k(l) = -10431*l - 62548. What is k(-6)?
38
Let l(y) = -4905*y - 19581. Determine l(-4).
39
Let c(i) = -13*i - 1097. Give c(-61).
-304
Let r(u) = -u**3 + 10*u**2 + 201*u + 24. Give r(-10).
14
Let v(o) = 1358*o - 283811. Calculate v(209).
11
Let n(c) = 11*c**2 + 619*c - 365. Determine n(-58).
737
Let o(r) = 2003*r - 80009. Determine o(40).
111
Let g(l) = l**3 + 94*l**2 - 622*l - 41258. Calculate g(-96).
22
Let y(b) = 157*b - 28343. Calculate y(178).
-397
Let m(x) = x**3 - 420*x**2 - 6264*x + 81590. What is m(434)?
-2
Let i(h) = 3*h**3 - 105*h**2 + 93*h + 22. Give i(34).
-284
Let f(m) = 478*m - 214149. Determine f(448).
-5
Let g(j) = j**3 + 15*j**2 - 54*j + 16. What is g(-7)?
786
Let z(m) = 2*m**3 + 44*m**2 + 95*m + 7. Calculate z(-16).
1559
Let t(q) = q**2 + 53*q - 36186. Calculate t(-218).
-216
Let v(h) = -7*h**3 - 7*h**2 - 870*h + 3504. Determine v(4).
-536
Let m(j) = -1172*j + 141168. Calculate m(121).
-644
Let d(u) = -846*u - 8453. Give d(-10).
7
Let c(k) = 5018*k - 5035. What is c(1)?
-17
Let i(a) = -2*a**2 + 4208*a - 675154. Calculate i(175).
-4
Let m(w) = -26*w - 281. What is m(-16)?
135
Let g(z) = 4*z**2 - 1765*z + 68495. Give g(43).
-4
Let p(x) = -x**3 + 2211*x**2 + 40129*x - 58. Determine p(-18).
-184
Let k(g) = 3948*g + 209246. Determine k(-53).
2
Let r(j) = -3*j**2 - 612*j - 31077. Determine r(-97).
60
Let w(v) = -16*v**2 + 949*v - 1821. Give w(2).
13
Let k(z) = z**3 - 61*z**2 - 299*z + 10699. Calculate k(63).
-200
Let z(g) = -g**2 - 316*g - 10272. What is z(-276)?
768
Let k(p) = p**3 - 24*p**2 - 26*p - 723. Calculate k(26).
-47
Let x(t) = 8*t**2 + 1080*t - 13075. What is x(-146)?
-227
Let t(c) = -377*c**2 + 52024*c + 332. Calculate t(138).
56
Let g(f) = -2386*f - 7291. Calculate g(-3).
-133
Let u(d) = d**3 + 8*d**2 - 67*d - 283. What is u(10)?
847
Let g(w) = 2453*w + 2033550. What is g(-829)?
13
Let f(v) = 2*v**3 - 47*v**2 - 619*v + 506. Calculate f(-10).
-4
Let v(g) = -g**3 + 4*g**2 - 196451*g + 589349. Calculate v(3).
5
Let v(w) = -17*w**2 + 166754*w - 166753. Calculate v(1).
-16
Let b(h) = -h**3 + 234*h**2 - 499*h + 14798. What is b(232)?
6678
Let g(h) = -49*h**3 + 67*h**2 - 143*h - 7. Determine g(2).
-417
Let m(p) = -2*p**2 + 445*p - 15474. Determine m(35).
-2349
Let k(x) = -x**2 + 106*x + 9548. Calculate k(164).
36
Let i(x) = -1749*x + 4671. Calculate i(3).
-576
Let a(m) = 228*m**2 - 403*m - 3. Determine a(2).
103
Let r(y) = 16744*y - 267893. What is r(16)?
11
Let v(o) = 2*o**3 - o**2 + 713*o - 6777. Give v(10).
2253
Let i(p) = 4434*p - 660705. What is i(149)?
-39
Let d(f) = -2*f**2 - 41*f + 141. What is d(-19)?
198
Let v(x) = -x**3 - 71*x**2 - 941*x + 230. Calculate v(-18).
-4
Let m(f) = 44*f**3 - 5*f**2 - 6*f + 52. Give m(4).
2764
Let c(s) = 17*s**2 - 168*s - 490. Determine c(-3).
167
Let s(p) = 5214*p - 709073. Give s(136).
31
Let m(l) = 7*l**3 + 54*l**2 - 402*l - 2882. What is m(-9)?
7
Let o(y) = 6*y**2 - 150*y - 4349. Determine o(-25).
3151
Let v(w) = -5*w**3 - 752*w**2 - 1041*w + 518. Determine v(-149).
220
Let y(d) = 2*d**2 + 991*d + 8746. Determine y(-9).
-11
Let x(t) = -8*t**3 - 859*t**2 - 1187*t - 2220. What is x(-106)?
6
Let r(i) = -i**3 - 3*i**2 + 162*i + 1055. Determine r(-6).
191
Let b(j) = -3*j**3 + 12*j**2 - 24*j - 29. What is b(5)?
-224
Let j(p) = -473346*p + 9940267. Calculate j(21).
1
Let q(r) = 1860*r + 245522. What is q(-132)?
2
Let l(z) = z**3 + 36*z**2 + 360*z + 604. What is l(-19)?
-99
Let l(k) = 10376*k**2 + 259397*k - 71. Calculate l(-25).
4
Let c(l) = l**2 + 3075*l - 813398. Calculate c(245).
2
Let i(o) = 73*o - 5537. Determine i(56).
-1449
Let j(g) = -21*g**2 + 311*g + 2686. Calculate j(-9).
-1814
Let v(s) = -57645*s + 57636. What is v(1)?
-9
Let k(h) = 2027*h + 239242. What is k(-118)?
56
Let c(y) = y**3 - 69*y**2 + 18*y - 1264. Determine c(69).
-22
Let f(w) = -995*w + 26915. Calculate f(27).
50
Let h(i) = 2*i**2 - 4101*i - 95445. What is h(-23)?
-64
Let m(f) = 15866*f - 79058. What is m(5)?
272
Let m(c) = -c**3 + 157*c**2 + 886*c - 38966. Give m(161).
-4
Let m(i) = -18*i**3 - 1065*i**2 - 14161*i - 121. Determine m(-39).
3 | {
"pile_set_name": "DM Mathematics"
} |
0 + m**5/30 + 5*m**4/24 - m**3/6 + m**2 - 4. Let k(d) be the second derivative of i(d). Is 7 a factor of k(-3)?
False
Suppose 698*z + 300 = 703*z. Is 30 a factor of z?
True
Let w(a) = -a**3 + 15*a**2 - 19*a + 2. Does 39 divide w(10)?
True
Suppose 0 = -3*c + 452 - 140. Is c a multiple of 8?
True
Let a = -447 + 800. Is 23 a factor of a?
False
Let a(o) = -4*o**3 - 25*o**2 + 43*o - 31. Let x(r) = r**3 + 6*r**2 - 11*r + 8. Let q(z) = 2*a(z) + 9*x(z). Is q(-6) a multiple of 4?
True
Let w be (3 + -1)/((-6)/33). Let a = w - -21. Is 2 a factor of a?
True
Suppose -71*q = -15*q - 26152. Is q a multiple of 11?
False
Suppose -63*x + 1110 = -62*x. Does 20 divide x?
False
Let x = 1643 + 1677. Does 7 divide x?
False
Suppose 5*n = -4*b - 45, 2*b - 3*b - 4*n - 3 = 0. Let l = b - -37. Does 9 divide l?
False
Suppose 67*w - 228 = 63*w. Suppose w = 5*c + 12. Is 2 a factor of c?
False
Let r be ((-10)/15)/(4/114). Let k = -16 - r. Suppose 0 = 2*z - l + 1 - 14, -33 = -3*z - k*l. Is 4 a factor of z?
True
Does 91 divide (-1472)/(-240) + -6 + (-15883)/(-15)?
False
Let m(d) be the third derivative of -7*d**4/24 + d**3/6 + 13*d**2. Let q = -1 - 4. Does 12 divide m(q)?
True
Suppose 0 = -33*r + 34*r - 111. Does 22 divide r - (-2)/(-4)*8?
False
Is 61 a factor of (307 - 4/2) + -1 + 1?
True
Let d = 784 - 427. Does 22 divide d?
False
Let a(p) = -2*p**2 - 10*p + 9. Let w be a(7). Let b = 230 + w. Suppose 2*m - 79 = b. Does 19 divide m?
False
Suppose 409 = 5*v - 261. Let q be 3 - -2 - (-3 + 4 + 0). Suppose -5*g + f = -v, q*g + 0*f = -4*f + 88. Does 11 divide g?
False
Suppose -5*b = -3*s - 7944, -b = -3*b + 3*s + 3174. Does 15 divide b?
True
Let o(h) = 2*h**2 + 4*h. Suppose 0 = 4*x + 12, -4*v + 0 = 4*x + 24. Let t be o(v). Let q = t + -3. Does 3 divide q?
True
Let l(s) = -s**3 - 6*s**2 - 19*s - 47. Does 19 divide l(-12)?
True
Suppose 4*a + 4 = 3*h + 1, 0 = 5*a + 3*h - 3. Suppose -2*v - 99 + 459 = a. Suppose -5*n - 3*o + v = -0*n, -n = -3*o - 54. Does 13 divide n?
True
Suppose -6*n + 79464 = 78*n. Is n a multiple of 19?
False
Suppose -4*a + 22 = 2*c, -3*c + 37 = -5*a + 15. Suppose c*j - 24 = 3*j. Suppose -z + j*z - 81 = 0. Is 7 a factor of z?
False
Let z = -566 + 604. Does 38 divide z?
True
Let z = 7 - 47. Let k = z + 56. Is 4 a factor of k?
True
Suppose 2*k - 414 = -5*x, 3*k - 4*k = -4*x - 181. Is 10 a factor of k?
False
Suppose -2*m + 40 = 2*m. Suppose -14*i + 12 = -m*i. Suppose -4 = -i*c + 14. Is c even?
True
Suppose 58*p = 51*p + 15925. Does 61 divide p?
False
Suppose 11*i - 4 = 40. Suppose -67 + 7 = -i*y. Is y a multiple of 3?
True
Is 597 - -6*(-2)/4 a multiple of 11?
True
Suppose 45*f + 2899 = s + 44*f, -2*s + 5823 = 3*f. Does 12 divide s?
True
Suppose 2920 - 14440 = -6*m. Is m a multiple of 64?
True
Let x = 55 + 48. Let m = 7 + x. Is 11 a factor of m?
True
Let f = -420 - -960. Is 60 a factor of f?
True
Let v(p) = -2*p**2 - 6*p - 6. Let i(u) = -u**2 - 6*u - 7. Let h(r) = 3*i(r) - 2*v(r). Is h(12) a multiple of 9?
True
Let f be 82/(-4) + 2/4. Let w = 20 + f. Suppose 0*g + 4*g = -16, 2*b + 5*g - 64 = w. Is b a multiple of 6?
True
Let r be 11/(-33) + 14/6. Suppose r*l - 7*l = -135. Suppose -l = -5*m + 23. Does 10 divide m?
True
Suppose 2*u = -u - 18. Let o = -206 - -246. Let a = o + u. Is 9 a factor of a?
False
Suppose 0 = 4*g - 437 - 375. Let q = g + -123. Does 12 divide q?
False
Let d be (8/(-12))/(6/(-153)). Let n(i) = 57*i - d - 55*i - 6. Does 10 divide n(20)?
False
Suppose -2*s - 2*s = -4*i + 28, -4*s = -2*i + 18. Suppose -38 = i*v + 17. Let m(l) = l**2 + 8*l - 12. Is 8 a factor of m(v)?
False
Suppose 5*v + 25 = 0, -4*u + u + v + 5585 = 0. Suppose u = -5*t + 305. Is 26 a factor of t/(-4) - (-7)/28?
True
Let l be (52/(-12) - -1)*-57. Suppose -2*a = b - 6*b + 474, l = 2*b - a. Is 21 a factor of b?
False
Let j = 6 + -5. Let p be -3 + (-2 - -6) + j. Suppose -4*x - l + 318 = 0, 0*l + 4*l - 152 = -p*x. Is 20 a factor of x?
True
Let a(x) = 3*x**2 - 18*x + 10. Does 5 divide a(6)?
True
Let h = -66 - -69. Suppose -h*g + 3*s = -531, g - 5*s = -3*g + 705. Is g a multiple of 20?
True
Let b(f) = -2*f + 33. Let t be b(14). Suppose 0 = -4*p + 4, p + 50 = t*x - 299. Is 35 a factor of x?
True
Suppose 3*i = -3*p + 660, 6*i - 441 = 4*i - 3*p. Is 23 a factor of i?
False
Let j(u) = 2*u**2 - 3*u - 18. Suppose -28 = -5*g - 4*x, 3 + 9 = 3*g + 4*x. Let c be j(g). Suppose 3*h + 2*w - 3*w = c, 5*w = -h + 18. Is h a multiple of 8?
False
Suppose -2*n + 3*n + 4002 = 5*d, -d + n + 798 = 0. Is d a multiple of 56?
False
Let a(l) = l**2 - l. Let d(z) = -5 + 16*z + 10*z**3 + 11 + 12*z**2 + 11 - 11*z**3. Let k(p) = 2*a(p) + d(p). Is 2 a factor of k(15)?
True
Let a be -1 + 10/4 + 3/(-2). Is 15 a factor of 7/(3 + 4)*(a + 15)?
True
Suppose 0 = 3*m - 2*m - 4*d - 311, -5*m - 2*d = -1467. Is 6 a factor of m?
False
Let x be (-19166)/(-10) + (-4)/(-10). Suppose x = 15*m - 963. Is 14 a factor of m?
False
Let q(d) = -47*d - 362. Is 9 a factor of q(-19)?
True
Let p(i) = -10*i + 20. Let x be (-6)/15 - 252/45. Is 5 a factor of p(x)?
True
Let i = 12 + 33. Suppose -4*j = 4*m - j - i, -8 = -m - 4*j. Is m a multiple of 6?
True
Let v(r) = r**2 - 3*r + 3. Let n be v(3). Suppose 0 = -n*m - m - 36. Is 12 a factor of m*(32/(-3))/2?
True
Suppose 3*w - 6 = 6. Suppose -w*d - 3*t + 12 = 0, -2*t - 3*t = -2*d - 20. Suppose d*g - 15 = -3*g. Is g a multiple of 4?
False
Suppose -2*p - 2*p = 5*q - 28, 16 = 2*q + 4*p. Suppose d + 2*k - 3 = q*k, 3*d + k = -5. Is 7 + ((-2)/d - 4) a multiple of 5?
True
Let l = -116 + 296. Is 14 a factor of l?
False
Let q = -8 + 11. Suppose -57 = -3*g + q*d, 2*d + 47 = 3*g - 3*d. Is 4 a factor of g?
True
Let n = 3483 - 2484. Does 98 divide n?
False
Is 55/(-2)*(-11)/(-110)*-148 a multiple of 49?
False
Suppose 3*i - 3*w - 42 = -6*w, 0 = 4*i + w - 41. Let x = 30 + i. Let f = x + -3. Is f a multiple of 8?
False
Let k = -25 - -17. Let f be ((-24)/36)/(1/18). Is (k/f)/(3/72) a multiple of 8?
True
Let y(d) = d**2 + 6*d - 11. Let p be y(-8). Let r = -3 + 5. Suppose v + r*v - 227 = -p*g, -v + 75 = 2*g. Is v a multiple of 24?
False
Suppose 4*w - 8*w + 1772 = 4*x, 4*x - 2*w = 1754. Does 11 divide x?
True
Let s = 68 + -58. Suppose v + 4*v + j = 782, -s = -5*j. Is v a multiple of 8?
False
Let u be 3/6*-2*-2. Suppose -b = u*y - 160, 4*b - 6*y = -y + 679. Suppose -b = -4*o + 330. Is 31 a factor of o?
True
Suppose 41*t - 25*t - 9216 = 0. Is t a multiple of 8?
True
Let c(r) = 31 + 13*r - 17*r + 3*r. Let d be 115/9 + 6/27. Is c(d) a multiple of 9?
True
Let i(b) = b**3 + 6*b**2 - 2. Let k be (-2)/((-18)/(-15))*-3. Suppose -k*s + 35 = -5*j - 2*s, -2*j + 7 = 3*s. Is 10 a factor of i(j)?
True
Let z(c) = 13*c + 38. Let q(h) = -h. Let p(t) = -6*q(t) - z(t). Let l(m) = 4*m + 19. Let k(v) = -5*l(v) - 3*p(v). Does 9 divide k(-10)?
True
Let s = -844 - -1061. Is s a multiple of 15?
False
Suppose 0*z - 5*z = 10, z - 10 = -3*d. Is 52 a factor of (-299)/(d - 5) - -3?
False
Suppose 0 = -5*m - 12 - 108. Let s(d) = d + 80. Is 7 a factor of s(m)?
True
Let g(z) = 11*z**2 + z - 11. Let x(s) = -5*s**2 + 5. Let q(d) = -6*g(d) - 13*x(d). Let o be q(-5). Let i(m) = m**2 - 3*m + 5. Does 9 divide i(o)?
False
Is 12 a factor of (-2)/(-11) + (1736/11 - 2)?
True
Let j = -10 - -14. Suppose j*k - 148 - 16 = 3*q, 5*k - 194 = q. Is 19 a factor of k?
True
Let y(z) = z**3 - 8*z**2 - 10*z - 13. Let o be y(9). Let v = 24 + o. Is 2 a factor of (4/(-10))/(v/(-10))?
True
Let u(l) = l**2 + 4*l + 1. Let r be u(-3). Let y(v) = -5*v**3 - 4*v**2 + v + 2. Let h be y(r). Let a = h - -120. Does 30 divide a?
False
Let t = -17 + 23. Is 3 a factor of (-235)/(-15) + 2 + 2/t?
True
Let q(y) = -6*y**3 - 13*y**2 - 16*y + 13. Let g(o) = o**3 - 1. Let r(h) = 5*g(h) + q(h). Suppose 3*f + 40 = -2*j - 0*j, -66 = 5*f + 3*j. Does 28 divide r(f)?
True
Let j(k) = 3*k + 6. Let x(s) = s. Let f(t) = -j(t) + x(t). Let a be f(-4). Suppose n + 5*w - 2*w - 83 = 0, a*n - 166 = -w. Is n a multiple of 25?
False
Suppose -63*s + 6468 = -42*s. Does 77 divide s?
True
Suppose -42*q = 8846 - 23588. Is 39 a factor of q?
True
Suppose -c = 4 - 8. Let a be (c + -10)/(-1 + -1). Suppose 92 = i + a*i. Is i a multiple of 10?
False
Let u(r) be the second derivative of 21/2*r**2 + 0*r**3 + 1/12*r**4 + 0 + 5*r. Is 7 a factor of u(0)?
True
Suppose -5 + 8 = v. Let t(f) = -f**3 - 16*f**2 - 17*f - 18. Let r(x) = x**3 + 15 | {
"pile_set_name": "DM Mathematics"
} |
m = -14*m + 80. Let g(z) = -26*z - 40*z + 10*z + m*z. Let p(i) = -i. What is g(p(n))?
46*n
Let d(x) = -44303*x. Let q(h) = -135*h. What is q(d(w))?
5980905*w
Let s(d) = 3359 - 3359 + 3*d**2. Let i(h) = -h**2 + 1. Let r(v) = -7*v**2 + 6*v + 5. Let q(a) = 5*i(a) - r(a). Calculate q(s(l)).
18*l**4 - 18*l**2
Let r(u) = -u**2 + 3. Let f(h) = -1303087*h. What is r(f(q))?
-1698035729569*q**2 + 3
Let f(d) = -2*d**2 + 2*d - 5574. Let q(c) = -195*c. What is q(f(i))?
390*i**2 - 390*i + 1086930
Let m(k) = 6*k + 15. Let f be m(6). Let q(o) = 101*o - f*o - 39*o. Let l(w) = -12*w. Let z(d) = 5*l(d) + 4*q(d). Let b(h) = h**2. Calculate b(z(a)).
256*a**2
Let d(f) = -467*f. Let u(v) be the second derivative of v**3/6 + 472*v. Determine u(d(w)).
-467*w
Let s(c) = 4112665*c**2 - 2*c. Let a(l) = -l. Calculate s(a(r)).
4112665*r**2 + 2*r
Let f(l) = 63*l. Let d = -297 + 337. Let c(n) = n**2 + 21 + 19 - d. Give f(c(b)).
63*b**2
Suppose 10*h + 129 = 859. Let r(k) = -79*k + 152*k - h*k + 662*k**2. Let b(f) = f**2. Determine b(r(v)).
438244*v**4
Let x(s) = 3*s**2 + 29. Let v(u) = -12 + 25*u - 7 + 17 + 2*u. Determine v(x(p)).
81*p**2 + 781
Let f(l) = 2*l. Let j(g) = -g + 8. Let u be j(-16). Let n(z) = 2*z - 1 - u - z - 7. Determine n(f(q)).
2*q - 32
Let m(s) be the second derivative of 0*s**2 + 0 + 19*s + 0*s**3 - 1/12*s**4. Let b(l) be the first derivative of -17*l**2/2 - 10. Give m(b(t)).
-289*t**2
Let o(h) = 94*h**2 - h. Let g(k) be the second derivative of k**3/6 - 285*k. Give o(g(d)).
94*d**2 - d
Let h(j) = 3*j. Let a(v) be the third derivative of 13/8*v**4 + 0*v**3 + 1/20*v**5 + 161*v**2 + 0 + 0*v. What is a(h(q))?
27*q**2 + 117*q
Let k(g) = 35*g. Let o(i) = 1483981*i. Calculate o(k(n)).
51939335*n
Let d(i) be the second derivative of 0*i**3 - 20*i + 0*i**2 - 1/4*i**4 + 0. Let u(z) = 5*z**2 - z + z - 11*z**2. What is d(u(v))?
-108*v**4
Let f(r) = 22*r. Let u(i) = -651*i. Let n(b) = 61*b. Let c(g) = 21*n(g) + 2*u(g). Determine f(c(v)).
-462*v
Let w(l) = -175228*l**2. Let a(y) = 165*y. What is a(w(i))?
-28912620*i**2
Suppose -5*f + 4*j - 19 = -4*f, -3*f = -j + 2. Let g(h) = -f - 5*h**2 + 5*h**2 - 4*h**2 + 1. Let m(u) = 61*u. Give g(m(o)).
-14884*o**2
Let y = -253 + 254. Let t(v) = -v**2 + 30 - 29 - y. Let a(l) = 405*l**2. Give t(a(k)).
-164025*k**4
Let h(r) = 121*r - 1280. Let y(a) = -322*a + 3841. Let w(n) = 8*h(n) + 3*y(n). Let k(t) = 2*t**2. Calculate k(w(j)).
8*j**2 + 10264*j + 3292178
Let h(y) = -6*y. Let q(i) = 1305*i - 348. Let w(v) = -9*v + 2. Let r(l) = -q(l) - 174*w(l). Give r(h(z)).
-1566*z
Let u(r) = -381*r - 19. Let y(s) = -49*s + 1. Let p(h) = u(h) - 8*y(h). Let c(v) = -3*v. What is p(c(n))?
-33*n - 27
Let z(n) = 9*n**2. Let b(o) be the first derivative of 0*o**2 - 7/3*o**3 + 12 + 0*o. Calculate z(b(d)).
441*d**4
Let h(j) = 805*j**2 + 135*j - 45. Let k(r) = -73*r**2 - 12*r + 4. Let s(l) = -4*h(l) - 45*k(l). Let d(v) = -14*v. Give s(d(x)).
12740*x**2
Let d = -5722 - -5725. Let h(m) be the third derivative of 0*m - 17*m**2 - 1/6*m**4 + 0 + 0*m**d. Let i(b) = -7*b. Give h(i(n)).
28*n
Let a(j) be the first derivative of -2*j**3 - 1507. Let v(y) = -63*y**2 - 1. Calculate v(a(m)).
-2268*m**4 - 1
Let h(u) = u + 5. Let s(z) = -z + 3. Let j(f) = -3*h(f) + 5*s(f). Let g(r) be the first derivative of -16*r**2 - 58. Give g(j(l)).
256*l
Suppose -2*i + h + 8 = 0, i - 5*h - 12 = 5*i. Let a(u) = -4*u**2 + 6*u**i - u**2 + u**2. Let t(d) = -4*d**2 + 2*d**2 - 13*d**2 + 0*d**2. What is t(a(s))?
-60*s**4
Let x(w) = 66*w**2. Let t(s) = 1148*s**2 + 18*s - 1. Determine t(x(v)).
5000688*v**4 + 1188*v**2 - 1
Let g(a) = a. Let d(j) = 720 - j + 716 - 1435. Give g(d(b)).
-b + 1
Let i(v) = v**2 - v**2 - 2*v**2. Suppose 0 = 4*a + 12, -3*w - 5*a = -5*w + 63. Let u(d) = -53*d + 5*d + w*d - d. Give i(u(n)).
-1250*n**2
Let l(p) = 2080518*p. Let h(g) = -12*g. What is h(l(y))?
-24966216*y
Let h(g) = g**2 - 4*g - 369. Let c(q) = -9*q + 1. Calculate c(h(b)).
-9*b**2 + 36*b + 3322
Let j(i) = -2*i - 6. Let p(f) = 4. Let h(r) = 2*j(r) + 3*p(r). Let z(o) = -19*o**2. Let k(u) = -18*u**2. Let y(q) = -4*k(q) + 3*z(q). Calculate h(y(w)).
-60*w**2
Let t(i) = 320*i. Let o(h) = 74707*h. Determine o(t(s)).
23906240*s
Let m(g) = 6*g**2 - 4*g - 4. Let o(h) = 11*h**2 - 7*h - 7. Let a(x) = 7*m(x) - 4*o(x). Let b(f) be the second derivative of 29*f**4/3 - 15*f - 1. Give a(b(v)).
-26912*v**4
Let c be (-10)/3*((-30)/(-12) + -1). Let q(r) = 4*r - 5. Let k(v) = -6*v + 6. Let b(m) = c*k(m) - 6*q(m). Let t(j) = -j**2. Determine t(b(z)).
-36*z**2
Let j(u) be the first derivative of -17*u**2/2 + 6. Let i(f) = 5*f**2 - 135. Let h(r) = r**2 - 18. Let v(m) = -15*h(m) + 2*i(m). What is v(j(c))?
-1445*c**2
Let t(x) = 7 - 7 + 0 - 2*x**2 - 7*x**2. Let j = -7 - -13. Let i(g) = -5*g - j + 6. Determine i(t(q)).
45*q**2
Let w(i) = -21*i**2. Let b(y) = -2852*y + 5633*y - 2875*y. Determine b(w(j)).
1974*j**2
Let b(x) = -35*x - 4. Suppose 0 = 2*c - 8*c + 516. Let r(a) = -c*a - 82*a + 167*a + 1. Let m(o) = 3*b(o) + 12*r(o). Let p(n) = 2*n. Give m(p(s)).
-234*s
Let n(d) = -22*d. Let l(o) = 246*o**2 - 504*o**2 + 137*o**2. What is l(n(s))?
-58564*s**2
Let u(g) = 1639722*g. Let p(x) = -40*x**2. What is p(u(v))?
-107547529491360*v**2
Let g(w) be the first derivative of -11*w**2/2 + 5*w - 1404. Let u(p) = 38*p. Give g(u(h)).
-418*h + 5
Let p(z) = 49*z + 0 - 80*z + 0 + 28*z. Let i(a) = -114*a - 13. Determine p(i(o)).
342*o + 39
Let g(t) = 17*t**2 - 6*t. Let c(v) = 1378*v**2. What is g(c(b))?
32281028*b**4 - 8268*b**2
Let m(u) = 9 + 260*u + 4 - 17 - 22. Let c(d) be the first derivative of 29*d**2/2 - 3*d - 1. Let f(j) = -26*c(j) + 3*m(j). Let z(s) = s. Calculate z(f(g)).
26*g
Let f(q) = -q - 74. Let i(d) = 37. Let b(c) = -f(c) - 2*i(c). Let g(v) = -1591*v. Determine b(g(u)).
-1591*u
Let n(t) = 649*t**2. Let g(x) = -18290*x. Give g(n(y)).
-11870210*y**2
Let a(c) = 20671*c**2. Let u(s) be the second derivative of s**4/6 + 18*s - 50. Give a(u(l)).
82684*l**4
Let l(u) = 12*u + 90. Let h(c) = -13*c - 100. Let a(v) = 9*h(v) + 10*l(v). Let n(w) = -66*w - 2. What is a(n(q))?
-198*q - 6
Let y(n) = 49011*n**2. Let k(p) = -p - 8. Calculate k(y(m)).
-49011*m**2 - 8
Let p(l) = 2*l**2 - 6. Let i(f) = 10*f**2 - 40. Let u(j) = i(j) - 4*p(j). Let n(d) = -54*d**2 - d. Determine n(u(y)).
-216*y**4 + 3454*y**2 - 13808
Suppose -5*h - 2*b + 130 = -3*h, -b - 337 = -5*h. Let r(i) = 31 - 31 - 25*i - 30*i + h*i. Let o(w) = -6*w**2. What is r(o(t))?
-72*t**2
Let x(b) = 9*b + 7. Let d(y) = 4*y + 3. Let a(j) = 7*d(j) - 3*x(j). Let p(t) be the third derivative of 209*t**4/24 - 906*t**2 - 2. Calculate p(a(o)).
209*o
Let d(u) = u**2 - 6*u. Let t(l) be the first derivative of -152*l**3/3 - 9989. Give d(t(c)).
23104*c**4 + 912*c**2
Let v(j) = 1723214372*j. Let w(g) = -2*g. What is w(v(l))?
-3446428744*l
Let l(f) be the third derivative of f**5/20 - f**2. Let i = 212 - 210. Let b(z) = 2*z. Let v(a) = 63*a. Let o(c) = i*v(c) - 70*b(c). Calculate o(l(x)).
-42*x**2
Let d(o) = -6*o**2 + 2*o + 24. Let t(n) = 31*n**2 - 11*n - 132. Let w(q) = 11*d(q) + 2*t(q). Let b(m) = 241*m. Determine w(b(a)).
-232324*a**2
Let y(l) = -52*l**2 + 6. Let g(s) = -3*s**2 + 17*s - 8. Determine g(y(c)).
-8112*c**4 + 988*c**2 - 14
Let l(v) = 224*v**2. Let i(f) = 62524*f**2. Give i(l(r)).
3137204224*r**4
Let t(j) = -15*j + 51. Let m(n) = -325*n**2 - 2*n - 1. Give t(m(b)).
4875*b**2 + 30*b + 66
Let t(m) = -10239109*m. Let a(o) = -2*o**2. Determine t(a(r)).
20478218*r**2
Let u(d) = -2032948*d**2. Let n(y) = 4*y. Calculate n(u(j)).
-8131792*j**2
Let a(h) = 97*h - 5. Let f(b) = 136*b - 7. Let r(q) = -7*a(q) + 5*f(q). Let i(k) = 700*k. Determine r(i(o)).
700*o
Let b(r) = 4451*r. Let i(n) = -7*n. Let x(q) = -17*q. Let h(u) = -10*i(u) + 4*x(u). Calculate h(b(y)).
8902*y
Let y(i) = -5*i. Let d(b) be the second derivative of -1/3*b**3 - 5 + 11*b + 0*b**2. Determine d(y(l)).
10*l
Suppose -a = -4*q - 213 + 291, -5*a = 3*q - 93. Let r(y) be the first derivative of -13/2*y**2 + 0*y - q. Let f(v) = 2*v**2. Determine r(f(u)).
-26*u**2
Let l(m) = -m. Let a be ((-6)/4)/((-8)/80*-5). Let z(v) = 14*v**2 - 4*v. Let q(g) = -13*g**2 + 3*g. Let u(p) = a*z(p) - 4*q(p). Determine l(u(t)).
-10*t**2
Let w(o) = -10137 + 10137 - 70*o**2. Let u(d) be the second derivative of d**3/3 + 38*d. Calculate w(u(p)).
-280*p**2
Let z(k) | {
"pile_set_name": "DM Mathematics"
} |
arest to 1/2 in 4, q, i?
i
Let j = 18.87 - 19. Let h = j + -2.87. Which is the closest to 0.2? (a) -1/3 (b) h (c) 1
a
Let z = -1/41 + 44/123. Which is the closest to -2? (a) z (b) -3 (c) 0.3
b
Let h = 0 + -0.4. Let g = 131 + -913/7. Let z = -0.21 - 0.09. Which is the closest to -2/3? (a) h (b) g (c) z
a
Let t = 510/7 + -73. What is the nearest to 0 in 2/9, -4, t?
t
Let t = -607/5 + 121. Let n = -16 + 19. Which is the closest to t? (a) 5 (b) 0.4 (c) n
b
Suppose 4 = -16*v + 20. Suppose 9 = 3*t - 6. What is the nearest to v in -5, t, -0.3?
-0.3
Let s = 2.5 - 2.3. Let p be -1 - 3/((-18)/4). What is the nearest to -1/3 in s, 0, p?
p
Let u = 10 + -9.6. Which is the nearest to 3? (a) -3 (b) 3/7 (c) u
b
Let r = 9 + -8. Let i = 1.95 + 0.05. Let g = 23/11 + -229/99. Which is the nearest to r? (a) 0.1 (b) i (c) g
a
Let m = -0.06 + 0.16. Let y be 1/3*12/(-14). Let s = -2.01 - -0.01. What is the closest to y in s, m, 5/4?
m
Suppose 3*k = 3*o + 24, -5*o = -k - 3*k + 42. Let u = o - -16. Suppose 0 = -u*n + 2*n - 4. What is the closest to 2/5 in 1, n, -5?
1
Let q = -4 + 3. Let n = -2/653 - 2606/1959. Which is the closest to 2/5? (a) -0.2 (b) n (c) q
a
Let r = -7.4 + 7. Let i = 1.58 + 0.02. Let m = i - r. Which is the nearest to -0.1? (a) m (b) 0.4 (c) -0.3
c
Let v(s) = -s + 3. Let d be v(6). Which is the closest to 1? (a) -1/3 (b) d (c) -4
a
Suppose -2*d = 5*l - 2*l, l = 2*d. Suppose l = -4*s - 2051 + 639. Let p = s + 5297/15. Which is the closest to 0.1? (a) p (b) -0.3 (c) -0.1
a
Let f be (3/(-12))/((-4)/6). Let p = -4 + 3. Let n = 0.12 + -2.12. Which is the closest to n? (a) 0.4 (b) f (c) p
c
Let n = -0.28 - -0.3. Let j = 4.02 - n. Which is the nearest to 2/7? (a) j (b) 5 (c) 1/2
c
Let r = 2 + -1.1. Let f = r - -0.1. Let n = -2 - 0. Which is the closest to n? (a) -3 (b) 3/5 (c) f
a
Let x = -0.1 + 0.3. Let h = 867 - 866. What is the nearest to h in x, -0.1, -2?
x
Let v = -58 - -58.1. Which is the closest to 0.2? (a) v (b) 2/5 (c) -1/3
a
Let b = 0.2 - 0.3. Let k = -5.1 - b. What is the nearest to 1 in k, -1, 4?
-1
Let q = -4.9 + 7.9. Let y be 3*4/(-18)*-6. Which is the nearest to -1? (a) q (b) y (c) 1
c
Let k be 3/(-10)*(-20)/(-24). Let o(x) = -x + 16. Let u be o(16). Which is the closest to k? (a) u (b) 0.4 (c) -2
a
Let h = -6.8 + 7.8. What is the closest to h in 2/3, 1, 5?
1
Let c(f) = -f**3 - 9*f**2 - 6*f + 5. Let x be c(-8). Let q = -10 - x. What is the nearest to 2 in 0, 0.2, q?
q
Let k = -2/25 - -37/150. Let h = -5034/11 + 460228/1001. Let a = h - 24/13. What is the closest to a in 0.2, 4, k?
0.2
Let r = 8 - 7.7. Let l = -0.7 - r. Let n = -6 + 8. Which is the nearest to n? (a) -1/6 (b) 0.1 (c) l
b
Let x = 0.27 - -0.03. Let f = 0.16 + -0.06. Suppose 5*p = p - 16. Which is the closest to f? (a) 0.5 (b) x (c) p
b
Let w = 1432/13243 - 2/697. Which is the closest to -1? (a) 5 (b) -3/8 (c) w
b
Let u = -47/66 + 1/22. Let o = 0.03 - 0.43. What is the nearest to -1 in -4, o, u?
u
Let m = 2.04 + -0.04. Let g = -7.5 + 2.5. What is the nearest to m in g, -1/7, 5?
-1/7
Suppose 0*k = k. Let y = -0.2 - 0. Let l(u) = 3*u**2 - 9*u - 9. Let j be l(4). What is the nearest to 1 in k, j, y?
k
Let m = -35/2 + 17. Let z = 57/70 + -11/10. What is the closest to m in 6/7, z, 0.1?
z
Let o = 0.2 - 0.7. Let t = -2.131 - -0.031. Let d = 2 + t. Which is the closest to d? (a) 0 (b) o (c) -4
a
Let g = -71 + 69. Which is the nearest to -1? (a) -7 (b) g (c) 1
b
Let n(p) = -p**3 - p**2 + p - 1. Let i be n(-2). Let y = -6 - -8. Which is the nearest to i? (a) 1/4 (b) y (c) 2/3
c
Let u = 4.85 - -0.15. Let j = -23 + 23.2. What is the nearest to 2/3 in u, -1/4, j?
j
Let a be (-1 + 2)*2 + 0. Let l = 312/497 + -9293/9940. Let d = 2/35 + l. What is the nearest to d in -1/2, 3, a?
-1/2
Suppose -4*z - 8 = -4*k, 3*k - 4*z - 11 = -0*z. Let q = k - -11/4. Which is the nearest to 1? (a) 0.3 (b) -0.1 (c) q
a
Let h be 6/(-15)*20/(-8). Which is the nearest to h? (a) 2 (b) -1 (c) 2/9
c
Let x = -57 - -57. Let c = 1.5 - 1. What is the closest to x in -0.3, c, -0.4?
-0.3
Let y = -5.15 - -0.15. What is the nearest to -0.3 in 3, y, 3/2?
3/2
Let w = 0.4 + 0.1. Let l be (18/12)/(2/(-4)). Let b be l/(-4)*(-3 + 5). What is the closest to -0.1 in w, -2/7, b?
-2/7
Let m = -0.6 + 0.5. What is the closest to 0.4 in -2, 1/3, m?
1/3
Suppose -3*m - 3*p - 17 = 2*m, -3*p - 1 = m. What is the nearest to 0 in -7, m, 5?
m
Let r = -6 - -5. Let d = r - 0. What is the closest to d in -1, 0, -5/3?
-1
Suppose -3 = -d, 2*x + 2*d = -0*x - 2. Let n = 0.01 - -2.99. Let q = -4 + n. Which is the nearest to 0.1? (a) x (b) 1/4 (c) q
b
Let l = 2 + 0. Let t = 7.83 - -0.17. Let r = t + -4. What is the nearest to 2 in -2, l, r?
l
Let o = 0.013 - 3.013. What is the closest to -2 in o, 2, -4?
o
Let l = -77 + 86. Which is the closest to l? (a) 0 (b) -3/7 (c) 0.4
c
Let l = 221 - 309. Let d be (-6)/l - (-2)/(-8). What is the nearest to -0.1 in d, -3, -1?
d
Let h = 100/3 - 33. What is the closest to 2 in 5, h, 0?
h
Let z = -17 + 17. Which is the closest to 0? (a) -3/5 (b) 2/3 (c) z
c
Let w = 8.4 - 8. Let q = -0.36 - -0.01. Let x = -0.05 - q. Which is the closest to -1/4? (a) w (b) x (c) -2/13
c
Let h = 25 - 24.68. Let i = 0.02 - h. What is the closest to -2/7 in -3, i, 1?
i
Let g = 9 + -14. Let y be (-1)/1 + 5/g. What is the closest to y in 4, 3/4, 0.1?
0.1
Let d be ((5/(-6))/(-5))/(14/(-21)). What is the closest to 1/5 in d, -3/8, 0.1?
0.1
Let h = 0 + 0.2. Let w = -2 + 1. What is the nearest to w in -2, 0.1, h?
-2
Let l = 0.13 + 7.87. Let u = l - 8.4. What is the closest to -2/7 in u, -1/8, -5?
u
Let n = 119 + -123. Which is the nearest to -0.2? (a) -2 (b) 1/2 (c) n
b
Let m = 15/7 - 13/7. What is the nearest to 2 in -2, -4, m?
m
Suppose -4 = 4*s - 4*u, -2*u = -s - 5 + 6. What is the closest to 0 in 6, s, -4?
s
Let r be 3/(-2) + 4/(-8). What is the closest to 2/5 in r, 3, 1?
1
Let i(x) = x. Let k be i(-4). Let o be (1/2)/((-1)/k). Let w be (6/8)/(-1 - 1). What is the closest to 0 in w, -5, o?
w
Let g = -1.8 - -2.8. Which is the closest to 0? (a) -5 (b) -2 (c) g
c
Let t(w) = -w**2 - 9*w - 10. Let l be t(-7). Which is the nearest to -0.1? (a) -3 (b) 3/7 (c) l
b
Let b = -0.27 + -0.03. Suppose -3*u = 4*r - 17, -3*u + r + r = -5. What is the nearest to -1 in u, 1, b?
b
Let i be (-2)/4*(-2)/3. Let u = -5.4 - -5. Let q be (-42)/24 - 1*-2. Which is the closest to q? (a) 0.1 (b) i (c) u
b
Let s = -769 + 768.6. Let x = 6 + -4. Which is the nearest to -1/3? (a) x (b) s (c) -2/9
b
Let l = -7 - -6.9. Let h = 0.9 - l. What is the closest to 1 in -2, h, 5?
h
Let z = 73/12 + -41/6. Which is the closest to -1? (a) 2/9 (b) z (c) -1
c
Let j = 214/483 + -1/69. What is the closest to 1 in -4, j, -1?
j
Let q = 4 + -15/4. What is the closest to -2 in 4/3, 0, q?
0
Let w be -1*((-4)/(-7))/(-2). Let f be (-18)/24 + 2/(-8). Let q = -69.1 - -69. What is the nearest to q in f, 0, w?
0
Let y = 3.6 - 3.8. Which is the nearest to 0.2? (a) y (b) -0.4 (c) 3
a
Let f = 16 + -31/2. Let t = 0.5 + -0.3. Let s = 0.2 - t. Which is the closest to 1? (a) f (b) -0.3 (c) s
a
Let n = 8 + -12. Let g(k) = k**3 - 8*k**2 + 8*k + 1. Let z be g(7). Suppose 0 = 3*v - z*v. Which is the closest to v? (a) n (b) -1 (c) -3
b
Let y = 4/73 + 65/146. What is the nearest to 0.1 in 2/5, y, 11?
2/5
Let x = -8 - -9. Let m = -351 - -5267/15. Which is the closest to x? (a) 2/3 (b) -4 (c) m
a
Let y = -15 + 11. Let h = 0.04 - -4.46. Let f = h + y. What is the closest to -0.1 in f, -5/4, 2/9?
2/9
Let n be (-4)/14 + (-24)/14. Let p = -5.98 - -6. Let r = p + 0.98. Which is the nearest to -0.1? (a) n (b) r (c) 4
b
Let w = -1 - -0.8. Let t = 254 - 3812/15. Which is the nearest to -3? (a) t (b) w (c) -4
c
Let s = -1.1 - 0.9. Which is the nearest to 2/5? (a) 1 (b) 2 (c) s
a
Let q = 58 - 59. Which is the closest to q? (a) -0.4 (b) 0.5 (c) 19/5
a
Let v = -102 - -99. Which is the nearest to v? (a) -0.4 (b) -1/4 (c) 2/7
a
Let v = 2.9 + -3. Let f = 2 - 4. Let t = 1061/5 + -213. What is the nearest to v in t, 5, f?
t
Let t(m) = -m**2 + 12*m + 2. Let b be t(12). What is the nearest to 1 in b, -0.5, -3?
b
Let t be -2*(-92)/(-40) - 2/5. Which is the nearest to -0.1? (a) -1/5 (b) 1/4 (c) t
a
Let r | {
"pile_set_name": "DM Mathematics"
} |
39204/19 = 0.
-81, -11, 2/3
Factor -f**3/7 + 1203*f**2/7 - 51600*f - 51772.
-(f - 602)**2*(f + 1)/7
Factor 2*o**2 - 20*o - 48.
2*(o - 12)*(o + 2)
Factor 12*s**3 + 164*s**2 + 100*s - 52.
4*(s + 1)*(s + 13)*(3*s - 1)
Suppose -2*k**3/5 - 6*k**2 + 104*k/5 - 72/5 = 0. Calculate k.
-18, 1, 2
Factor 4*r**4/7 + 2*r**3 + 18*r**2/7 + 10*r/7 + 2/7.
2*(r + 1)**3*(2*r + 1)/7
Factor w**2/4 + 205*w + 42025.
(w + 410)**2/4
Find z such that -2*z**5/5 + 2*z**4/5 + 28*z**3/5 - 56*z**2/5 - 16*z/5 + 64/5 = 0.
-4, -1, 2
Find f, given that 4*f**4/3 - 556*f**3/3 - 376*f**2 = 0.
-2, 0, 141
Let -60*h**4 + 460*h**3 - 3545*h**2/3 + 1150*h - 375 = 0. Calculate h.
5/6, 3
Factor 2*h**4/5 - 6*h**3/5 + 6*h**2/5 - 2*h/5.
2*h*(h - 1)**3/5
Find g, given that 4*g**4 + 8*g**3 - 44*g**2 - 48*g = 0.
-4, -1, 0, 3
Factor 3*b**3 - 9*b**2 - 759*b + 765.
3*(b - 17)*(b - 1)*(b + 15)
What is b in -b**2/2 + 11*b/2 - 15 = 0?
5, 6
Factor 2*x**3 - 288*x**2 + 10368*x.
2*x*(x - 72)**2
Factor -q**2/2 - 164*q - 13448.
-(q + 164)**2/2
Factor -2*u**2/11 + 80*u/11.
-2*u*(u - 40)/11
Solve t**3/7 - 524*t**2/7 + 523*t/7 = 0.
0, 1, 523
Find f such that 2*f**3/5 - 26*f**2/5 + 72*f/5 = 0.
0, 4, 9
Factor -2*r**5 + 2*r**4 + 6*r**3 - 10*r**2 + 4*r.
-2*r*(r - 1)**3*(r + 2)
Solve 3*t**2 - 76*t + 25 = 0.
1/3, 25
Determine v so that -8*v**4/9 - 28*v**3/9 + 112*v**2/9 - 16*v/3 = 0.
-6, 0, 1/2, 2
Determine n so that -18*n**5 + 123*n**4 + 523*n**3 + 478*n**2 - 64*n - 160 = 0.
-4/3, -1, 1/2, 10
Factor 4*a**2/7 - 248*a/7 + 2820/7.
4*(a - 47)*(a - 15)/7
Suppose i**3/3 + 59*i**2/3 + 424*i/3 + 272 = 0. What is i?
-51, -4
Solve -2*x**3/21 + 374*x**2/21 + 36*x = 0 for x.
-2, 0, 189
Find m such that -m**3/4 + 97*m**2/4 - 47*m/2 - 48 = 0.
-1, 2, 96
Solve -3*m**4 + 2847*m**3 - 674025*m**2 - 676875*m = 0 for m.
-1, 0, 475
Determine v, given that 3*v**4 - 36*v**3 + 90*v**2 - 84*v + 27 = 0.
1, 9
Solve n**5 - 8*n**4 - 45*n**3 + 220*n**2 + 1024*n + 768 = 0.
-4, -3, -1, 8
Solve f**2/3 - 14*f/3 + 8 = 0.
2, 12
Find q such that 162*q**5 + 468*q**4 - 976*q**3 - 1088*q**2 - 256*q = 0.
-4, -4/9, 0, 2
Factor 2*s**2/3 - 61*s/2 - 72.
(s - 48)*(4*s + 9)/6
Solve -3*m**2/5 = 0.
0
Factor -3*l**3/8 + 351*l**2/8 - 13689*l/8 + 177957/8.
-3*(l - 39)**3/8
Solve m**3/2 + 4*m**2/5 - 13*m/10 = 0.
-13/5, 0, 1
Factor 2*b**3 - 2*b**2 - 32*b - 40.
2*(b - 5)*(b + 2)**2
Suppose 8*h**2/5 - 5378*h/5 + 1344/5 = 0. What is h?
1/4, 672
Factor -2*x**2/5 + 8*x + 192/5.
-2*(x - 24)*(x + 4)/5
Factor -p**4 + 21*p**2 + 20*p.
-p*(p - 5)*(p + 1)*(p + 4)
Factor 20*h**2 - 2492*h - 1000.
4*(h - 125)*(5*h + 2)
Determine m so that 5*m**5 + 30*m**4 + 55*m**3 + 10*m**2 - 60*m - 40 = 0.
-2, -1, 1
Solve -n**5/3 + n**4/3 + 5*n**3/3 + n**2 = 0.
-1, 0, 3
Determine h, given that -h**4/6 + 2*h**3 - 8*h**2 + 32*h/3 = 0.
0, 4
Factor -44521*j**2/4 + 211*j - 1.
-(211*j - 2)**2/4
Let -15*q**4/7 + 57*q**3/7 + 177*q**2/7 + 123*q/7 + 18/7 = 0. What is q?
-1, -1/5, 6
Factor -t**5/6 - 43*t**4/6 - 293*t**3/3 - 345*t**2 + 2025*t/2 - 1125/2.
-(t - 1)**2*(t + 15)**3/6
What is l in 3*l**5 + 21*l**4 - 51*l**3 + 27*l**2 = 0?
-9, 0, 1
Determine z so that -3*z**3/4 + 29*z**2/2 + 171*z/4 + 55/2 = 0.
-5/3, -1, 22
Factor 2*w**5 - 4*w**4 - 8*w**3 + 4*w**2 + 6*w.
2*w*(w - 3)*(w - 1)*(w + 1)**2
Find x such that 3*x**2/4 - 1131*x/4 - 1143 = 0.
-4, 381
Solve -2*j**5/9 + 10*j**4/9 - 4*j**3/9 - 28*j**2/9 + 2*j/3 + 2 = 0.
-1, 1, 3
Solve -9*d**4 + 147*d**3 - 42*d**2 - 96*d = 0 for d.
-2/3, 0, 1, 16
Determine x, given that 7*x**4 - 46*x**3 + 39*x**2 = 0.
0, 1, 39/7
Suppose -7*f**3/11 + 4*f**2 - 12*f/11 = 0. What is f?
0, 2/7, 6
Solve -2*g**2 + 266*g + 268 = 0.
-1, 134
Factor -15*y**2/2 - 51*y/2 - 9.
-3*(y + 3)*(5*y + 2)/2
Factor -7*r**4/4 - r**3 + 7*r**2 + 4*r.
-r*(r - 2)*(r + 2)*(7*r + 4)/4
Suppose -15*d**4 + 109*d**3 - 174*d**2 + 12*d + 40 = 0. Calculate d.
-2/5, 2/3, 2, 5
Factor o**5/5 - 28*o**4/5.
o**4*(o - 28)/5
Factor -3*w**5/2 + 87*w**4/2 - 489*w**3/2 - 2019*w**2/2 - 1104*w - 384.
-3*(w - 16)**2*(w + 1)**3/2
Factor 2*f**3/11 + 178*f**2/11 - 2*f/11 - 178/11.
2*(f - 1)*(f + 1)*(f + 89)/11
Determine u so that u**3 + 32*u**2 - 67*u + 34 = 0.
-34, 1
Let -g**3/8 - 3*g**2/4 - 3*g/2 - 1 = 0. Calculate g.
-2
Solve 4*g**5 + 692*g**4/5 + 940*g**3 - 22132*g**2/5 + 22496*g/5 - 5776/5 = 0 for g.
-19, 2/5, 1, 2
Suppose 71*b**4/5 - 43*b**3 + 6*b**2/5 = 0. What is b?
0, 2/71, 3
Find z such that z**3/4 + 3*z**2/2 - 15*z/4 - 25 = 0.
-5, 4
What is b in 2*b**4/7 + 2*b**3 - 8*b**2 + 40*b/7 = 0?
-10, 0, 1, 2
Determine q so that -6*q**5 - 4*q**4 + 6*q**3 + 4*q**2 = 0.
-1, -2/3, 0, 1
Solve 2*k**5/9 + 8*k**4/9 - 136*k**3/9 + 212*k**2/9 + 134*k/9 - 220/9 = 0.
-11, -1, 1, 2, 5
Solve 4*t**5 + 68*t**4 - 624*t**3 + 1168*t**2 + 320*t - 1536 = 0 for t.
-24, -1, 2, 4
Factor y**4/4 + 9*y**3/4 - 5*y**2/2.
y**2*(y - 1)*(y + 10)/4
What is z in -4*z**4 + 24*z**3 + 32*z**2 - 384*z + 512 = 0?
-4, 2, 4
Suppose -2*h**4 - 2*h**3 + 114*h**2 + 2*h - 112 = 0. Calculate h.
-8, -1, 1, 7
Determine q so that -q**3 + 507*q**2 - 85683*q + 4826809 = 0.
169
Solve 2*w**2/5 + 402*w/5 - 404/5 = 0 for w.
-202, 1
Let 4*m**4/5 + 121*m**3/5 + 146*m**2/5 + 29*m/5 = 0. Calculate m.
-29, -1, -1/4, 0
Factor -2*d**3/9 + 70*d**2/9 - 416*d/9 + 224/3.
-2*(d - 28)*(d - 4)*(d - 3)/9
Factor j**5/4 + 9*j**4/4 + 29*j**3/4 + 43*j**2/4 + 15*j/2 + 2.
(j + 1)**3*(j + 2)*(j + 4)/4
Suppose -20*v**2 + 815*v + 205 = 0. Calculate v.
-1/4, 41
Find y such that y**3/6 + 7007*y**2/6 + 12278015*y/6 + 12271009/6 = 0.
-3503, -1
Factor -4*l**3 + 352*l**2 + 732*l - 1080.
-4*(l - 90)*(l - 1)*(l + 3)
Factor v**3/8 + 11*v**2/4 - 288*v - 8100.
(v - 50)*(v + 36)**2/8
Factor -m**4/4 + 7*m**3/4 + 3*m**2/4 - 55*m/4 - 25/2.
-(m - 5)**2*(m + 1)*(m + 2)/4
Factor -2*y**2/3 + 158*y/3 + 108.
-2*(y - 81)*(y + 2)/3
Suppose -4*v**2/3 + 784/3 = 0. Calculate v.
-14, 14
Find x such that -36*x**3 - 10*x**2 + 4*x = 0.
-1/2, 0, 2/9
Factor -5*c**5 + 555*c**4 - 1635*c**3 + 1625*c**2 - 540*c.
-5*c*(c - 108)*(c - 1)**3
Suppose 10*m**4/3 - 244*m**3/21 + 46*m**2/7 + 244*m/21 - 208/21 = 0. What is m?
-1, 1, 52/35, 2
Factor -2*f**3 - 10*f**2 + 100*f.
-2*f*(f - 5)*(f + 10)
Let -6*f**4/17 - 20*f**3/17 - 18*f**2/17 - 4*f/17 = 0. What is f?
-2, -1, -1/3, 0
Factor -2*k**2 - 62*k + 444.
-2*(k - 6)*(k + 37)
Factor -o**5 + 9*o**4 + 22*o**3 + 2*o**2 - 21*o - 11.
-(o - 11)*(o - 1)*(o + 1)**3
Factor 5*y**2 - 1440*y + 103680.
5*(y - 144)**2
Factor -4*s**2/9 + 1160*s/9.
-4*s*(s - 290)/9
Let 11*g**4 - 83*g**3/7 - 128*g**2/7 - 4*g = 0. Calculate g.
-7/11, -2/7, 0, 2
What is h in 4*h**2 + 32*h - 192 = 0?
-12, 4
Suppose 147*p**5 - 6090*p**4 - 4104*p**3 + 23856*p**2 + 14064*p + 2016 = 0. What is p?
-2, -2/7, 2, 42
Factor 5*o**2 + 50*o - 280.
5*(o - 4)*(o + 14)
Factor 6*k**2/7 + 232*k/7 - 78/7.
2*(k + 39)*(3*k - 1)/7
Determine z, given that 21*z**4/2 - 87*z**3 + 321*z**2/2 - 102*z + 18 = 0.
2/7, 1, 6
Let 3*f**3/2 - 110*f**2 + 3959*f/2 + 1369 = 0. Calculate f.
-2/3, 37
Solve b**3 + 77*b**2 + 1443*b - 1521 = 0.
-39, 1
Factor p**5 - 2*p**3 + p.
p*(p - 1)**2*(p + 1)**2
Solve 2*g**4/3 - 2*g**3 - 244*g**2/3 - 280*g - 784/3 = 0.
-7, -2, 14
Suppose 2*j**2 - 540*j = 0. Calculate j.
0, 270
Determine g so that -6*g**3 - 328*g**2/3 + 216*g + 160/3 = 0.
-20, -2/9, 2
Solve -3*l**5 - 690*l**4 - 38274*l**3 + 160764*l**2 - 203931*l + 82134 = 0.
-117, 1, 2
What is h in -3*h**5 - 9*h**4 - 9*h**3 - 3*h**2 = 0?
-1, 0
Find x such that -3*x**2/7 + 2724*x/7 - 618348/7 = 0.
454
Determine g, given that 3*g**5 + 447*g**4 + 2610*g**3 + 5172*g**2 + 3432*g = 0.
-143, -2, 0
Determine q so that q**3 - 218*q**2 - 884*q - 888 = 0.
-2, 222
Let 4*n**4 - 72*n**3 + 404*n**2 - 768*n + 432 = 0. Calculate n.
1, 2, 6, 9
Factor 2*z**2/11 - 92*z/11 + 1058/11.
2*(z - 23)**2/11
Suppose -5*l**4 - 290*l**3 - 285*l**2 = 0. What is l?
-57, -1, 0
Factor 3*y**2 + 702*y + 41067.
3*(y + 117)**2
Factor 2*c**4/7 - 16*c**3/7 + 10*c**2/7 + 4*c.
2*c*(c - 7)*(c - 2)*(c + 1)/7
Factor -k**3/5 + k**2 + 8*k/5 - 12/5.
-(k - 6)*(k - 1)*(k + 2)/5
Solve 15*f**3 + 200*f**2 + 595*f - 490 = 0 for f.
-7, 2/3
Find w, given that -3*w**5 + 33*w**4 - 102*w**3 + 42*w**2 + 105*w - 75 = 0.
-1, 1, 5
Suppose 3*n**3 + 255*n**2 + 4089*n - 59643 = 0. What is n?
-47, 9
Factor 4*z**2 + 56*z.
4*z*(z + 14)
Factor 2*c**2/3 + 32*c - 200/3.
2*(c - 2)*(c + 50)/3
Let 5*k**4 + 220*k**3 + 815*k**2 - 6060*k + 7020 = 0. What is k?
-39, -9, | {
"pile_set_name": "DM Mathematics"
} |
t the prime factors of 2690440.
2, 5, 67261
What are the prime factors of 8896660?
2, 5, 444833
List the prime factors of 5026909.
5026909
List the prime factors of 8894508.
2, 3, 7, 19, 5573
List the prime factors of 21476390.
2, 5, 13, 165203
List the prime factors of 553170.
2, 3, 5, 18439
List the prime factors of 987704.
2, 331, 373
List the prime factors of 185652.
2, 3, 191
What are the prime factors of 875697?
3, 291899
List the prime factors of 233688.
2, 3, 7, 13, 107
What are the prime factors of 807321?
3, 439, 613
What are the prime factors of 209091?
3, 69697
What are the prime factors of 4844938?
2, 7, 271, 1277
List the prime factors of 10247274.
2, 3, 97, 5869
What are the prime factors of 399053?
41, 9733
What are the prime factors of 1946148?
2, 3, 127, 1277
List the prime factors of 1333615.
5, 109, 2447
What are the prime factors of 1479065?
5, 7, 6037
What are the prime factors of 580203?
3, 13, 19, 29
What are the prime factors of 2821178?
2, 29, 127, 383
What are the prime factors of 1951405?
5, 390281
What are the prime factors of 327348?
2, 3, 7, 433
What are the prime factors of 76815?
3, 5, 569
List the prime factors of 298036.
2, 74509
List the prime factors of 82190.
2, 5, 8219
What are the prime factors of 206853?
3, 19, 191
List the prime factors of 1068975.
3, 5, 4751
What are the prime factors of 796688?
2, 17, 29, 101
List the prime factors of 1749494.
2, 499, 1753
List the prime factors of 1196548.
2, 299137
List the prime factors of 742798.
2, 7, 17, 3121
List the prime factors of 859938.
2, 3, 331, 433
What are the prime factors of 8714576?
2, 13, 41897
What are the prime factors of 611655?
3, 5, 11, 337
What are the prime factors of 137747?
23, 53, 113
What are the prime factors of 4296890?
2, 5, 13, 33053
List the prime factors of 12598.
2, 6299
List the prime factors of 1067154.
2, 3, 11, 19, 23, 37
List the prime factors of 215406.
2, 3, 3989
What are the prime factors of 2914757?
659, 4423
List the prime factors of 101259.
3, 11251
List the prime factors of 2058234.
2, 3, 83, 4133
What are the prime factors of 4387335?
3, 5, 292489
List the prime factors of 5954161.
619, 9619
List the prime factors of 685799.
79, 8681
What are the prime factors of 389377?
41, 9497
What are the prime factors of 99662?
2, 49831
List the prime factors of 7125714.
2, 3, 395873
List the prime factors of 1559211.
3, 519737
List the prime factors of 18320834.
2, 7, 23, 56897
What are the prime factors of 1871085?
3, 5, 124739
What are the prime factors of 963501?
3, 7, 11, 43, 97
List the prime factors of 4116302.
2, 83, 137, 181
What are the prime factors of 354600?
2, 3, 5, 197
What are the prime factors of 629291?
13, 48407
List the prime factors of 819691.
819691
What are the prime factors of 217576?
2, 27197
What are the prime factors of 71008?
2, 7, 317
What are the prime factors of 7917270?
2, 3, 5, 263909
What are the prime factors of 1169222?
2, 19, 29, 1061
What are the prime factors of 47301?
3, 15767
List the prime factors of 390544.
2, 7, 11, 317
List the prime factors of 1012930.
2, 5, 101293
List the prime factors of 166412.
2, 41603
List the prime factors of 356867.
7, 7283
List the prime factors of 23430358.
2, 7, 31, 53987
What are the prime factors of 1427433?
3, 7, 101, 673
List the prime factors of 1576469.
29, 54361
What are the prime factors of 1577256?
2, 3, 65719
List the prime factors of 112419.
3, 12491
List the prime factors of 5055765.
3, 5, 11, 13, 2357
What are the prime factors of 3042736?
2, 19, 10009
What are the prime factors of 8312026?
2, 439, 9467
What are the prime factors of 869575?
5, 7, 4969
List the prime factors of 667013.
667013
What are the prime factors of 203877?
3, 839
What are the prime factors of 446001?
3, 148667
What are the prime factors of 207404?
2, 19, 2729
List the prime factors of 779137.
779137
List the prime factors of 198557.
181, 1097
What are the prime factors of 1404013?
13, 17, 6353
List the prime factors of 815517.
3, 31, 37, 79
List the prime factors of 10617095.
5, 17, 124907
What are the prime factors of 4073?
4073
What are the prime factors of 189115?
5, 109, 347
List the prime factors of 14996.
2, 23, 163
What are the prime factors of 151110?
2, 3, 5, 23, 73
What are the prime factors of 3849804?
2, 3, 7, 15277
List the prime factors of 746691.
3, 11, 17
List the prime factors of 10290089.
149, 69061
What are the prime factors of 177827?
13, 13679
List the prime factors of 149.
149
List the prime factors of 755909.
7, 11, 9817
List the prime factors of 18608203.
1301, 14303
List the prime factors of 1725580.
2, 5, 19, 239
List the prime factors of 163504.
2, 11, 929
What are the prime factors of 284494?
2, 7, 2903
What are the prime factors of 5236151?
41, 127711
List the prime factors of 1254538.
2, 627269
List the prime factors of 11955249.
3, 47, 9421
What are the prime factors of 745007?
499, 1493
What are the prime factors of 2149878?
2, 3, 358313
What are the prime factors of 2236650?
2, 3, 5, 13, 31, 37
List the prime factors of 140725.
5, 13, 433
List the prime factors of 380606.
2, 47, 4049
What are the prime factors of 576636?
2, 3, 29, 1657
What are the prime factors of 1351175?
5, 7, 1103
List the prime factors of 70768.
2, 4423
List the prime factors of 559742.
2, 17, 101, 163
What are the prime factors of 379323?
3, 7, 223
List the prime factors of 3414842.
2, 1707421
List the prime factors of 592914.
2, 3, 7, 19, 743
List the prime factors of 128118.
2, 3, 131, 163
What are the prime factors of 4504377?
3, 223, 6733
List the prime factors of 7677183.
3, 17, 150533
List the prime factors of 4482667.
7, 1867
What are the prime factors of 1397942?
2, 7, 13, 7681
List the prime factors of 362891.
41, 53, 167
What are the prime factors of 6944584?
2, 868073
What are the prime factors of 6511340?
2, 5, 11, 17, 1741
List the prime factors of 775020.
2, 3, 5, 12917
What are the prime factors of 1199428?
2, 299857
List the prime factors of 31253855.
5, 73, 85627
What are the prime factors of 1427334?
2, 3, 23, 10343
What are the prime factors of 303181?
137, 2213
What are the prime factors of 770901?
3, 256967
What are the prime factors of 3318067?
3318067
List the prime factors of 3078477.
3, 401, 853
List the prime factors of 714241.
11, 29, 2239
List the prime factors of 22931560.
2, 5, 573289
List the prime factors of 3922555.
5, 7, 13, 37, 233
What are the prime factors of 1555079?
1555079
What are the prime factors of 506308?
2, 11, 37, 311
What are the prime factors of 1367017?
1367017
List the prime factors of 5420130.
2, 3, 5, 19, 37, 257
What are the prime factors of 21618?
2, 3, 1201
What are the prime factors of 1245665?
5, 249133
What are the prime factors of 1275246?
2, 3, 7, 29, 349
List the prime factors of 9748313.
9748313
What are the prime factors of 203379?
3, 11, 6163
List the prime factors of 738321.
3, 19, 12953
List the prime factors of 9942647.
11, 13, 23, 3023
List the prime factors of 429603.
3, 89, 1609
List the prime factors of 765342.
2, 3, 14173
List the prime factors of 1572036.
2, 3, 269, 487
What are the prime factors of 7513392?
2, 3, 157, 997
What are the prime factors of 209052?
2, 3, 5807
List the prime factors of 175681.
11, 15971
What are the prime factors of 13350877?
13350877
List the prime factors of 1128203.
317, 3559
List the prime factors of 639016.
2, 7, 11411
What are the prime factors of 89375?
5, 11, 13
List the prime factors of 33004535.
5, 67, 83, 1187
List the prime factors of 2455293.
3, 17, 31, 1553
What are the prime factors of 12675227?
12675227
List the prime factors of 5175560.
2, 5, 13, 37, 269
List the prime factors of 671662.
2, 41, 8191
What are the prime factors of 12345309?
3, 37, 131, 283
List the prime factors of 4162369.
461, 9029
What are the prime factors of 3214073?
3214073
What are the prime factors of 448964?
2, 112241
List the prime factors of 1939717.
13, 17, 67, 131
List the prime factors of 2207373.
3, 7, 257, 409
List the prime factors of 1977756.
2, 3, 11, 14983
List the prime factors of 1810861.
13, 139297
What are the prime factors of 142711?
142711
List the prime factors of 4567149.
3, 507461
List the prime factors of 46613.
7, 6659
What are the prime factors of | {
"pile_set_name": "DM Mathematics"
} |
ne hundred thousand.
-200000
Round -35.1596261 to 3 decimal places.
-35.16
What is -11876.18889 rounded to the nearest 100?
-11900
Round 0.002324998818 to 3 dps.
0.002
What is -1.6805337 rounded to 1 dp?
-1.7
What is -9800.2535 rounded to the nearest integer?
-9800
What is 0.00103869733 rounded to 4 decimal places?
0.001
What is -0.485171425 rounded to four decimal places?
-0.4852
What is -150.912068 rounded to the nearest ten?
-150
Round 2.33036579 to 1 decimal place.
2.3
Round 1655213294 to the nearest one hundred thousand.
1655200000
What is -2289782.7706 rounded to the nearest 100?
-2289800
What is -32816.2247 rounded to the nearest ten?
-32820
Round 149.7480579 to the nearest 10.
150
What is 94951873.5 rounded to the nearest one million?
95000000
What is -0.0697906523 rounded to 3 decimal places?
-0.07
Round 2587565.92 to the nearest 100.
2587600
Round 2060233.26 to the nearest 1000000.
2000000
Round 139.57239614 to 2 decimal places.
139.57
What is 3419765.46 rounded to the nearest ten thousand?
3420000
Round 0.00000106240828 to 7 dps.
0.0000011
What is -635976.6 rounded to the nearest one million?
-1000000
What is -0.7384332279 rounded to 2 decimal places?
-0.74
Round 7863.9877 to the nearest one thousand.
8000
What is 0.00000641830792 rounded to 6 decimal places?
0.000006
What is 19131289.4 rounded to the nearest 100000?
19100000
What is -84409667.3 rounded to the nearest 100000?
-84400000
Round 116874916190 to the nearest one million.
116875000000
Round 0.0000455253286 to 7 dps.
0.0000455
Round -0.166996193 to five dps.
-0.167
Round 0.0001148471633 to 5 decimal places.
0.00011
What is 54145.01322 rounded to 0 dps?
54145
What is 12151.1552 rounded to the nearest ten thousand?
10000
Round -255272835.8 to the nearest ten thousand.
-255270000
Round -0.04469732 to one dp.
0
Round -4.18123015 to 4 dps.
-4.1812
Round -21221452.39 to the nearest one hundred thousand.
-21200000
Round 79.902842 to one decimal place.
79.9
Round -2494573920 to the nearest one hundred thousand.
-2494600000
What is 954.03045 rounded to zero dps?
954
What is -1630430090 rounded to the nearest 1000000?
-1630000000
What is 100.26951358 rounded to the nearest integer?
100
Round -14.145468 to the nearest one hundred.
0
What is -0.00003123709935 rounded to six decimal places?
-0.000031
What is 283.45755 rounded to the nearest 100?
300
What is 8.653063707 rounded to 1 decimal place?
8.7
What is -6.22238934 rounded to 2 dps?
-6.22
What is 41.2641052 rounded to the nearest ten?
40
What is -0.00178628939 rounded to 6 decimal places?
-0.001786
Round 8246.6607 to the nearest 100.
8200
What is -17406.4183 rounded to the nearest integer?
-17406
What is -0.0000017228226 rounded to 6 dps?
-0.000002
What is -6416.385198 rounded to the nearest integer?
-6416
Round 0.30714422 to 2 dps.
0.31
Round 80581120 to the nearest 100000.
80600000
Round 12790715810 to the nearest 1000000.
12791000000
Round -128608.844 to the nearest 1000.
-129000
What is 87933830.51 rounded to the nearest one million?
88000000
Round -0.0249937811 to five decimal places.
-0.02499
What is -4.94371519 rounded to two decimal places?
-4.94
Round -867.6622403 to one dp.
-867.7
Round -30907922.2 to the nearest one million.
-31000000
Round -13857403.84 to the nearest 100000.
-13900000
What is 0.803181396 rounded to 2 dps?
0.8
Round -0.00676168742 to four decimal places.
-0.0068
Round 7832594.01 to the nearest 1000.
7833000
Round 0.0578801599 to 2 decimal places.
0.06
Round -1.013854452 to 3 decimal places.
-1.014
Round 0.0224251869 to two decimal places.
0.02
Round 0.025800541 to four dps.
0.0258
Round 506688.94 to the nearest one thousand.
507000
What is 1974976.97 rounded to the nearest one million?
2000000
Round 1418422.182 to the nearest 100.
1418400
Round 0.74747502 to 3 dps.
0.747
Round 16158064.82 to the nearest one hundred thousand.
16200000
Round 0.175962033 to three decimal places.
0.176
Round -841937.95 to the nearest one million.
-1000000
Round 0.0001527882743 to 6 dps.
0.000153
Round 0.0001329820283 to 7 dps.
0.000133
What is -11.0539025 rounded to 2 decimal places?
-11.05
Round 0.0000057137985 to seven dps.
0.0000057
What is -7.13568698 rounded to one decimal place?
-7.1
What is 0.02971489529 rounded to four dps?
0.0297
Round 0.00000098522333 to seven dps.
0.000001
Round 0.0209660689 to 6 dps.
0.020966
What is -0.000000366795 rounded to six decimal places?
0
Round -1268208.879 to the nearest ten thousand.
-1270000
What is 350790.56 rounded to the nearest ten thousand?
350000
What is -0.0000109108256 rounded to 6 decimal places?
-0.000011
What is 0.59369032 rounded to 1 dp?
0.6
What is 2844.140251 rounded to 0 dps?
2844
What is 0.00273549409 rounded to four dps?
0.0027
What is -6293452200 rounded to the nearest 1000000?
-6293000000
Round 0.000163897786 to seven decimal places.
0.0001639
What is -42.33844334 rounded to 0 dps?
-42
Round 1562.253686 to the nearest 100.
1600
Round -0.357274317 to four dps.
-0.3573
What is 5.9506181 rounded to two decimal places?
5.95
Round -6092.43577 to the nearest integer.
-6092
Round 2528739.86 to the nearest 100000.
2500000
Round -0.001536668328 to 7 dps.
-0.0015367
What is -0.025296699 rounded to three dps?
-0.025
Round 0.01756350195 to 5 dps.
0.01756
What is -0.000000940398213 rounded to six decimal places?
-0.000001
What is -17245.903014 rounded to one dp?
-17245.9
Round -19905279.3 to the nearest one thousand.
-19905000
What is 147057.45 rounded to the nearest one hundred thousand?
100000
Round 17281.466335 to one decimal place.
17281.5
What is 595998.246 rounded to the nearest one thousand?
596000
Round 0.00024932076 to seven decimal places.
0.0002493
What is -0.15954369674 rounded to 6 decimal places?
-0.159544
What is 8854856.904 rounded to the nearest one hundred thousand?
8900000
What is -18620.05132 rounded to the nearest integer?
-18620
Round 0.0181402839 to three decimal places.
0.018
Round -17919.92374 to the nearest 100.
-17900
Round -0.0073331689 to 5 decimal places.
-0.00733
What is 126828.2222 rounded to the nearest one hundred?
126800
What is -0.00199650728 rounded to five dps?
-0.002
Round -1402831.54 to the nearest one hundred.
-1402800
What is -450412249 rounded to the nearest ten thousand?
-450410000
Round -1.0550241 to 2 dps.
-1.06
What is 3929.252455 rounded to 1 dp?
3929.3
Round 1263012.721 to the nearest 100000.
1300000
What is -0.00107370753 rounded to 5 dps?
-0.00107
Round -18942.64206 to the nearest one hundred.
-18900
Round 0.1051004739 to four decimal places.
0.1051
What is 2803.01619 rounded to the nearest 100?
2800
What is 26236731830 rounded to the nearest one million?
26237000000
What is -197.1341072 rounded to 2 decimal places?
-197.13
Round 2205174687 to the nearest 100000.
2205200000
What is 0.134783092 rounded to 3 dps?
0.135
What is 319.877598 rounded to one dp?
319.9
What is -154734.70479 rounded to the nearest one hundred?
-154700
Round 1323.619474 to one dp.
1323.6
What is 41.6170105 rounded to 2 dps?
41.62
Round 0.00027997559 to five dps.
0.00028
Round 0.15837186332 to 2 decimal places.
0.16
What is 50.7076245 rounded to three decimal places?
50.708
Round -4.12086168 to three decimal places.
-4.121
What is -217591.9561 rounded to the nearest 10000?
-220000
What is -669804.6 rounded to the nearest 10000?
-670000
Round -0.00237157336 to 5 dps.
-0.00237
What is 86098.6277 rounded to the nearest ten?
86100
Round 1341510365 to the nearest 10000.
1341510000
What is -0.02536630452 rounded to 4 dps?
-0.0254
What is -6789.192245 rounded to the nearest ten?
-6790
Round -8.8637556 to the nearest integer.
-9
Round 0.000346885385 to 4 dps.
0.0003
Round 0.067868261 to five dps.
0.06787
What is 0.00000853381 rounded to six decimal places?
0.000009
What is 9.944284 rounded to two dps?
9.94
Round -5337980.095 to the nearest 1000000.
-5000000
Round -0.0015488179077 to 6 decimal places.
-0.001549
What is -0.03530273678 rounded to 2 dps?
-0.04
What is -1948.4434 rounded to the nearest ten?
-1950
Round 812.73696 to the nearest one hundred.
800
Round -370.334397 to the nearest ten.
-370
Round 101735373 to the nearest 100000.
101700000
Round -7800.598 to the nearest 100.
-7800
Round -1.0292575449 to 4 decimal places.
-1.0293
Round -301.831337 to th | {
"pile_set_name": "DM Mathematics"
} |
1)).
20
What is the lowest common multiple of 6/(-15) - (-126)/15 and (2/(-3))/(-4 + (-520)/(-132))?
88
What is the least common multiple of 12 and 2 + 4 + 10 + 2?
36
Let m(u) = 3*u**2 - 2*u**2 - 2*u + 1 - 6. Calculate the least common multiple of 2 and m(5).
10
Let k = -250 + 1173. Let d be (-41)/6*134 + 2. Let p = d + k. Find the common denominator of 73/3 and p.
3
What is the common denominator of 2 + 63/(-112)*(-276)/9 and 1 + 0 + (-68)/22?
44
Suppose 5*a - 80 = -0*a. Let i be ((-9)/12)/((-2)/8). Calculate the smallest common multiple of a and (i + (-1 - 0))*5.
80
Suppose 0 = -3*g + 16 - 1. Calculate the least common multiple of g and 6.
30
Let g be (16/(-42))/((-6)/(-2226033)). Let z = g + 141714. Let v = 378 - z. Calculate the common denominator of 83/4 and v.
28
Suppose 3*s + 12 = 48. Let m(g) = 4*g**2 - 3*g. Let h be m(-3). Suppose -3*q + h = 3*x, -5*q + q + 4*x + 52 = 0. Calculate the least common multiple of q and s.
84
Let b(c) = -3*c - 1. Let u(l) = l. Let w(a) = 3*b(a) + 6*u(a). What is the least common multiple of 11 and w(-2)?
33
Let n(p) = -8*p**2. Let b be n(1). Let y be b/(-12) - 574/60. Let o = 483/20 + y. What is the common denominator of o and 19/5?
20
What is the lowest common multiple of 33 and (9/6 + -4)/(1/(-6))?
165
Let t = -3 + -33. Let y be 750674/t - (-5 - -2). Let z = y - -20841. What is the common denominator of -7/22 and z?
198
Let b(s) = -1999*s - 1. Let w be b(3). Let i = w + 120021/20. Calculate the common denominator of 79/12 and i.
60
Suppose -2*w + 6*w = -24. Calculate the smallest common multiple of ((-9)/w)/((-9)/(-24)) and 10.
20
What is the lowest common multiple of ((-1)/(-1) - 0)*2 and 4?
4
Calculate the lowest common multiple of 4 and (2 + -3)*(-2 - 1).
12
Let y = -4/895 + 9194/54595. Let h = 2004/427 + y. Let g = 1/741 + -7660/2223. What is the common denominator of h and g?
63
Let k(u) = -u**3 + 8*u**2 + u - 7. Let n be k(8). Suppose -2*h + n + 3 = 0. Calculate the least common multiple of h and 10.
10
Let v = 4 - -2. Let k = 24 + -17. Calculate the least common multiple of v and k.
42
Let p = 1381796 + -96748707/70. Let m = p - -2256/7. Calculate the common denominator of m and 5/3.
30
Let f = 312485/59934 - -2/4281. Calculate the common denominator of f and (115/105)/(6/35).
126
Let t = 3/8525 + -202907/34100. Calculate the common denominator of t and 61/22.
220
Suppose 8*j - 6 = 5*j. Calculate the lowest common multiple of 7 and j.
14
Let c = 37487/26 + -1442. Find the common denominator of 117/10 and c.
130
Let l(a) = -3177*a**3. Let y be l(-1). Let s = 22184/7 - y. Calculate the common denominator of s and 18/25*(-100)/30.
35
Let f = -7393 - -5110. Let y = 13757/6 + f. What is the common denominator of 0 + -2 + (-525)/(-28) and y?
12
Suppose 5*i = -4*m + 18, 4*i - 5*i = -m. Suppose -4*d + 0*d + 88 = 0. What is the smallest common multiple of d and m?
22
Calculate the common denominator of -139/6 and (-62)/45 - (19/3 - 6).
90
Let v(g) = 2*g**2 + 2*g. What is the least common multiple of 22 and v(-2)?
44
Let x(h) = -h - 2. Let v(l) = -l - 1. Let m(s) = 6*v(s) - 5*x(s). What is the smallest common multiple of 8 and m(-4)?
8
Let a(x) = x**2 - 4*x + 5. Let s be a(4). Suppose 4*c = -r + s, -5*r = 3*c - 2*r + 3. Let d = 6 - c. What is the least common multiple of d and 3?
12
Calculate the common denominator of (-16)/(-132) - (-8)/(-12) and -43/2.
22
Let h = 1/3266 + -7155/2034718. Let b = 19309/1246 - h. What is the common denominator of b and -19/14?
14
Calculate the common denominator of (32/8)/((-44)/(-30)) and 83/26.
286
Let x = -134/77 + -3/14. What is the common denominator of x and ((-4)/(-160))/((-1)/94)?
220
Find the common denominator of 1/(((-112)/220)/4) and -20/11.
77
Let i = -1994/349 - 2/2443. Let q = -508 - -2981/6. What is the common denominator of q and i?
42
Let k(s) = s**3 - s**2 - s - 16. Let v be k(0). Calculate the smallest common multiple of -8*5*4/v and 5.
10
Let u be 21/12 + 1/4. Calculate the least common multiple of 14 and (2 - 16)/(-1) - u.
84
What is the lowest common multiple of 7 + 2/6 + (-10)/(-6) and 19?
171
Let t = -5621/6 - -940. What is the common denominator of t and -1 - -1 - (-174)/(-20)?
30
Let l be (9/6)/(3/20). Let f = -6 - -11. Suppose -j - f*k + l + 4 = 0, 0 = -j - 3*k + 14. Calculate the lowest common multiple of 10 and j.
70
Let h(s) = 423*s**2 + 0 + 2*s - 1 + 2. Let f be h(-1). Let m = f + -1199/3. Find the common denominator of 52/9 and m.
9
Let a be (-72)/20*(-40)/6. Suppose 6*i - 3*i - a = 0. What is the least common multiple of i and 12/90 - (-148)/15?
40
Let p be (-6)/27 - (-108164)/12486. Let z = -8/2081 - p. Calculate the common denominator of z and 194/(-66) - 1/3.
99
Let w be 2/(-4) + 3285/(-6). Find the common denominator of -95/2 and w/(-3)*(-6)/(-48).
6
Let k = -2/57 + 5419/114. What is the common denominator of k and 29/134?
134
Let a(z) = -6*z - 11. Calculate the smallest common multiple of a(-5) and 1.
19
Let k(j) = -4*j + 1. Let a be 0 + 11 + 4 + -8. Let w(t) = t**2 - 4*t - 10. Calculate the lowest common multiple of w(a) and k(-2).
99
Suppose 166*d = 165*d + 14. Let k = -23 - -70. Let o = -31 + k. What is the lowest common multiple of d and o?
112
Suppose -r + 15 + 3 = 0. Calculate the smallest common multiple of r and 9.
18
Let g = -6 + 17. What is the smallest common multiple of 6 and g?
66
Suppose 2*n - 37 = -0*v + 3*v, 5*v = -25. Calculate the least common multiple of n and 5.
55
Let b = -2/1541 - -155677/27738. Calculate the common denominator of b and -93/10.
90
Suppose -2*v + 3 = -1. Suppose 4*i + 0 + 12 = 0. Calculate the lowest common multiple of v*(i + (-9)/(-2)) and 6.
6
Let h(c) = -2*c**3 + 5*c**2 - 2. Let o be h(5). Let p be (-1006)/16*(0 + 2). Let q = p - o. Find the common denominator of q and 27/2.
4
Let v = -1/6019 + -619917/240760. What is the common denominator of 58/35 and v?
280
Let u = -1 - -5. Let k = -3 + u. What is the lowest common multiple of 11 + k*(1 + -2) and 18?
90
Let u = 191650072679/37423980 + 5/1871199. Let v = u + -5118. What is the common denominator of -125/12 and v?
60
Suppose n + 0 - 14 = -4*z, -2*n + 28 = -3*z. What is the lowest common multiple of n and 6?
42
Suppose 20 = 4*d + 2*y, 4*d - 34 = -2*y + 7*y. Let w = 2 + 0. What is the smallest common multiple of d and w?
6
Suppose 13*l - 11*l - 22 = 0. Calculate the smallest common multiple of l and 1/(-4) - (-82)/8.
110
Suppose 240 = 4*j + 80. Let a = 4 + 0. Calculate the smallest common multiple of a and j/(-2)*(-4)/8.
20
Let w = -107277355/12 + 8945709. Let p = 5936 - w. Let k = 408359/72600 - -2/9075. Calculate the common denominator of k and p.
24
Let j = 161100 - 114960. Suppose -3*h = 2*h + j. Let t = -92189/10 - h. What is the common denominator of t and 27?
10
Let w = -50 + 62. Suppose 14 - 4 = n. What is the least common multiple of n and w?
60
Let r = 321/29 - 3723/580. What is the common denominator of r and -87/4?
20
Suppose 0*j = 2*j + g - 6, 0 = -j - 3*g - 2. What is the lowest common multiple of j and 6/10 + (-14)/(-10)?
4
Let z(u) = -u + 1. Let x be z(8). Let l = 1 - x. What is the lowest common multiple of 16 and l?
16
Let x be (-2 - -1)*(-23 - 5). Let q be x/(-720) + (-1 - -1). Let t = q + -5531/1260. Find the common denominator of t and -43/5.
35
Suppose 112 = 5*y + 2*i, -92 = -3*y - y - 4*i. Calculate the smallest common multiple of y and 44.
44
What is the common denominator of 68/9 and (-1)/11*100/6?
99
Let n = -9901 - -118963/12. Let q = -32922/1715 - 6/1715. Let o = 1229/70 + q. What is the common denominator of o and n?
84
Let s be (0 - 7) + (-1)/(-1). What is the common denominator of 1358/88 - (-2)/(-11) and (s/45)/((-16)/474)?
20
Suppose 0*s = 4*s + 20. Let v(c) = 2*c**3 - 4*c**2 - 4*c. Let m be v(s). What is the least common multiple of 2 and (-4)/(-14) - m/21?
16
Let t = 1 - 3. Calculate the lowest common multiple of 4/4 + (-14)/t and 6.
24
Suppose 2*a - 4*a - m = -4, 0 = 4*a + 4*m - 12. Let b = a - 2. What is the least common multiple of 3 and -2*(-5 - b)*1?
24
Suppose 61 = 4*q + 13. Let g = -1047 - -1069. Calculate the least common multiple of g and q.
132
Let c(o) = -6 - 1 - 5 + 2 + o. Let z be c(10). Suppose z*w + 5*w - 73 = -m, 0 = 4*w + 5*m - 71. What is the smallest common multiple of 12 and w?
84
Let b(q | {
"pile_set_name": "DM Mathematics"
} |
- 18 for x.
2
Suppose 3*n - 12 = -f, -4*f - 4 + 0 = -n. Solve n*o - 6 = c, -3*c = 5*o - 6*c - 4 for o.
2
Suppose 4*s + 21 = 113. Suppose 0 = 4*l + 3*n - 80, -6*l + 3*l + 4*n + 85 = 0. Let g = s - l. Solve g = -2*w - j - 5 - 2, -4*w - 9 = j for w.
-1
Suppose -2*j + 0*j = -28. Suppose -3*c + 4 + j = 0. Solve -2*v + 6 = -0*v + 5*l, -3*l = -c for v.
-2
Let r be (-25)/(-10)*-2*1*-4. Solve 0 = -4*l + 2*w + 10 + r, 4*l + w - 15 = 0 for l.
5
Suppose -125 = -37*b + 12*b. Solve -6*r + 4*r + 10 = -4*y, 0 = -b*r - 5 for y.
-3
Let c be (0*(-3 - -2))/1. Solve -2*p + 18 + 15 = 5*w, c = -p + w - 1 for p.
4
Suppose 14*t - 9*t = 15. Solve -3*c - l + 13 = t, 3*l - 10 = c for c.
2
Let w be 13/(-3 - (-1 + -1)). Let q(x) = x**2 + 12*x - 8. Let u be q(w). Let n(k) = k. Let y be n(5). Solve 0 = h - 0*h - f + u, 0 = -y*h + 2*f - 16 for h.
-2
Let f(d) = -2*d**2 - 5*d + 7. Let a be f(-5). Let q = a + 21. Solve -5*b + 9 = -2*y, 3*b + q*y - 6*y = 0 for b.
3
Let k(n) = n**3 + 6*n**2 - 7*n + 2. Let d = -14 - -17. Suppose 2*m - d*m = 7. Let l be k(m). Solve 5*v - 4*r = 4*v + l, 0 = -4*r - 4 for v.
-2
Let g = -2 - -7. Let v = 198 - 123. Suppose 3*n - v = -0*n. Solve -5*y - 5*j + n = 0, g*y + 0 + 15 = 3*j for y.
0
Let o = -82 + 90. Solve 2*u = f + o, 2*u - 3*f - 2*f = 24 for u.
2
Let w = 9 + -6. Suppose -j = 2*j - 6. Suppose -3 + 9 = j*m. Solve 0 = -0*f - 4*f + m*b - 7, -4*f + w = -b for f.
2
Suppose 0 = -5*d - s - 4, -3*s - 7 = -3*d + 5. Suppose 0 = -r - 5*o + 12, d = -r + 2*r - 5*o + 8. Solve -r*w = v - 3 + 9, 0 = 5*v + w + 12 for v.
-2
Suppose 15 = 3*g, 8*g + 2 = -w + 6*g. Let y be 3/w*(1 - 0)*-52. Solve -32 = -5*m - 4*c, 2*m = m - 3*c + y for m.
4
Let f = -8 - 32. Let q = 42 + f. Solve 5*z + 2*j + 15 = -0*j, 18 = q*z - 4*j for z.
-1
Let g be (-2 + (-5)/(-2))*22. Suppose 0 = j + 6 - g. Solve j*m + 10 = -v, -4*v - m - 6 + 4 = 0 for v.
0
Let t be ((-14)/(-21))/(((-3)/(-9))/1). Solve -3 = 5*l - 0*l - b, t*b = -3*l - 7 for l.
-1
Let h = -104 - -106. Let k(c) = 2*c - 2. Let r be k(3). Let n = 7 - r. Solve 0 = -4*a, -i = h*i - 3*a + n for i.
-1
Let s be (-54)/(-1*(3 + -2)). Suppose s = 5*a + 44. Solve 4*p - q - a = 15, -3*p = -5*q - 34 for p.
3
Let s(y) be the first derivative of y**3/3 - 3*y**2/2 - 5*y - 1. Let q be s(-2). Solve j - q*h = 17, -4*j + 3*h = -7*j - 3 for j.
2
Let v = -5 - -6. Let o = v - -3. Solve 0 = -o*z - 5*h - 35, 4*z + 5 + 12 = h for z.
-5
Let a = -23 - -26. Suppose 0 = a*o - 2*c - 13, 5 = c + 4*c. Solve 23 = o*d - 2, -5*d + 28 = -v for v.
-3
Suppose 4*o - 45 = 3*v - 2, 3*v = 2*o - 17. Suppose -60 = 2*b - 6*b. Solve x = -m - 3*x + o, m = -5*x + b for m.
5
Suppose 5*s - 28 = 107. Let o = s + -2. Solve o = 5*l, 3*d + 0*d = -4*l + 20 for d.
0
Suppose 41*y - 866 + 169 = 0. Solve 3*p + 6 = 2*c, -13*p + c = -8*p + y for p.
-4
Let y(c) = -8*c + 228. Let v be y(28). Solve 0 = v*z + w - 5 - 14, -3*z - 3*w + 21 = 0 for z.
4
Suppose -2*t + 48 = 22*t. Solve -t*n + 4*x = 16, -4*n - 2*x + 6 = -12 for n.
2
Suppose -4*x - a - 112 = 231, 3*x - 3*a = -276. Let q = 90 + x. Solve q*t + 6 = -3*b, 4*t - b + 3 = 5 for t.
0
Let h(z) = -z - 7. Let b be h(-9). Suppose -6*v + 2*v + 116 = 0. Let j = v + -29. Solve -l - 3*n = -b, -5*l + n + 19 + 7 = j for l.
5
Let q be 1*4*2*1. Let z be (-147 - -1) + 0 + 4. Let a = z - -145. Solve 4*r - 22 = 2*v, q*v + a*r = 3*v + 10 for v.
-1
Suppose 3*u = -u. Let n = u - -3. Let c be 4 + 3/(-6)*(-12)/(-3). Solve 7 = -5*f - 4*g - c, -n*f + 4*g - 31 = 0 for f.
-5
Let l = 3 - -3. Let o(m) = -m**2 + 50*m + 163. Let f be o(53). Solve f = -3*i - w, w + l = -5*i - 2 for i.
-2
Let l = -195 - -200. Solve -3*g + 4*g + l*z = 29, 2*g = -z + 13 for g.
4
Suppose 20*c - 53 + 13 = 0. Solve -4*d = -2*f - 4, 5*f + c = -2*d + 4*d for d.
1
Let p(u) = 3*u + 11. Let k be p(-3). Suppose -4 = -4*z + 4*h, 2*h - 22 = -k*z - h. Solve -z*q - 5*m = -30, -q - 3*m - m + 12 = 0 for q.
4
Let x = -81 - -134. Let f = 58 - x. Solve 0 = 3*u - 2*t + 10, -2*u - f*t = -5*u - 16 for u.
-2
Let w be (-15)/10*8/(-6). Suppose 3*p - g - 84 = 0, -5*p + 2*g = 7*g - 140. Solve -w*r - p = 2*r + 3*t, 24 = -2*r - 4*t for r.
-4
Suppose -2*r + 63 + 3 = 0. Let q = r + -31. Solve 3 = -a - q*d, 4*a - 8*d + 3*d = 14 for a.
1
Suppose -4*a = 4*j + 8, -9 = a - 4. Suppose -j*v + 0 + 12 = 0. Solve 1 = 3*u - 2*c, 5*c + 1 = 2*u + v*c for u.
1
Let o(w) = 6*w + 6. Let q be o(-3). Let m be q/9*(-3)/2. Suppose 5*t + m = 6*t. Solve t*g + 3*v = -9, -3*g = v - 2 + 12 for g.
-3
Suppose -67*k = -72*k + 25. Solve -k*j = -4*n - 3, 5*j + 1 - 2 = 3*n for n.
-2
Suppose -q - 4 = 3*a, 7*q - 10*q - 3*a = 0. Solve -y = 3*u - 2, -q*y + 0*y = 3*u - 4 for u.
0
Let d(a) = -a**2 - 35*a - 93. Let o be d(-32). Solve o*u + 12 = 3*p, 3*p = u + 3*u + 16 for p.
0
Suppose 198 = 53*s - 67. Solve -3*d - 4*p + 5 + 3 = 0, s*d - p + 25 = 0 for d.
-4
Suppose -6*r = -5*r - 5. Suppose -5*u - 4 = q, 2*q = u - 0 + 3. Solve -g = r*s + 19, -s = -4*g + 7 + q for g.
1
Suppose 7 - 45 = -f. Suppose -3*j + f = -25. Let k = 23 - j. Solve t - r = -t + 2, -3*t = k*r - 10 for t.
2
Suppose 0 = 2*b + 4*n - 22, n - 5 = -b + 8. Let h = 107 + -107. Let p = h + b. Solve 5*z = -p, -q + 8*z = 3*z - 10 for q.
-5
Let k be (2 - 3 - 3)/(-2). Let i(o) = 9 + o**k + 8 - 4*o - 12. Let c be i(2). Solve d = 5*j + 4, c - 17 = -4*d - 2*j for d.
4
Suppose 4*g - 15 = 5. Suppose -g*h + 4*k = 3*k - 28, -3*h = -k - 16. Solve -3*a - h = -2*a - j, -5*a - 3 = 4*j for a.
-3
Suppose 10 = -2*s + 7*s. Suppose -s*z = 4 - 22. Solve 3*k - 5*o - 9 = 0, -3*k + 4*o - 3 = -z for k.
-2
Suppose k = -5*s - 3, -3*k - 4 - 5 = -s. Let c(f) = f**3 + f**2 + 8. Let g be c(s). Solve -4*x + 0*m - 4*m - g = 0, -5*m - 12 = 4*x for x.
2
Let b be 14*(-20)/24*-3. Let p(r) = -13*r**3 + 1. Let v be p(-1). Let w be 4/v + 33/7. Solve 2*g - o + 9 = 0, -w*g = -o - 4*o + b for g.
-2
Suppose -8 = -5*c + 7. Solve 0*o = 3*d + 3*o - 18, -c*o - 14 = -5*d for d.
4
Let v be (-1155)/9 - (1 + 3/(-9)). Let t = -126 - v. Solve -2*s + c - 30 = 3*s, -10 = 5*s + t*c for s.
-5
Let s(j) = j**3 + 11*j**2 - 11*j + 14. Let k be s(-12). Solve 4*i - z - 1 = -14, 16 = k*i + 4*z for i.
-2
Let j be 5/1 - (4 + (12 - 16)). Solve 3*h = j*l - 4*l + 5, -4*h = 4*l - 28 for l.
4
Suppose -36 - 98 = 18*q - 206. Let k be 2/(-3) + (-8)/(-3). Let x be (8/10)/(3/15). Solve -k*i = -x*m - 8, 0*i + q*i = 4*m + 4 for i.
-2
Let w(p) = -23*p + 30*p + 12 - 29*p + 4*p**2. Let d be w(5). Solve 2*o - 20 = 4*n - 6, -d*o = 4*n + 26 for o.
-3
Let w(v) = -v. Let j(o) = 11*o - 25. Let n(p) = j(p) + 2*w(p). Let x be n(3). Solve 2 = -d + x*u - u, 2*u = d for d.
-4
Suppose 0 = -3*z - 3*q + 6, 3*q = 2*z + 8*q - 13. Let m be 2*z*(7 + -8). Solve 4*h - 5*o + m*o - 10 = 0, 4*h + o - 18 = 0 for h.
4
Let h(a) = -2*a**2 - 17*a - 34. Let i be h(-4). Solve -2*m - 4*w = -18, 0 = -4*m + i*w - 3*w + 1 for m.
-1
Suppose 3*n = -n. Let i = -281 + 284. Solve -c - i*y = -n*c + 5, 3*y + 6 = 0 for c.
1
Let l be 13 - 14/((-112)/(-40)). Solve 0 = f + 3*n - l*n - 16, 0 = f + 3*n + 8 for f.
1
Let l be (5/2)/(75/120). Solve 6*n = -5*k + 4*n - 10, -2*k - l = n for k.
-2
Let y be ((-19)/4 - -5) + 3/4. Let m(w) = -3*w + 1. Let d be m(-3). Let a be d - (y - (-3 - 0)). Solve i + 3 = n, 5*i - a = 2*n - 27 for n.
-2
Suppose 0 = 5*f - 5*o - 60, 45 = 4*f + 5*o - 6*o. Solve 0 = -4*i + 16, i - f = -3*t - i for t.
1
Let x(m) = -m**3 - 7*m**2 - 13*m + 4. Let h be x(-4). Suppose -5*w = 2*j - 22, -20 - h = -4*j - 2*w. Solve 5*u - 4*i + 4 = 2, 3*i + j = 0 for u.
-2
Suppose -92*g + 2393 - 553 = 0. Solve 20*w - 4*r - g = 16*w, -3*r - 15 = 3*w for w.
0
Suppose 0 = 3*o + o - 8. Let u be o/3 - (-174)/9. Suppose -8*s + u = -3*s. Solve 0 = 5*h - s*c, h + c = -4*h + 25 for h.
4
Suppose -f = 4*q - 9, 0 = -0*q + 2*q + 2*f. Let c = q + -2. Solve k - c = -4*u, 3 = -k - 3*u + 4 for k.
1
Suppose 117 = 5*b + 97. Solve -5*n - 4*c - c = 0, n = b*c for n.
0
Let d(s) = -s**3 + 6*s**2 + 7*s + 2. Let o(v) = -v**2 - 5*v + 13. Let t be o(-6). Let x be d(t). Solve x*w - 2*y = 2, 0 = -3*w - 3*y + 14 + 1 for w.
3
Let z be 52/6 - (-12)/(-18). Let w = z + -7. Let c be 0 + (-10 - w)/(-1). Solve c = -4*l - 3*k, 6*l = 2*l - k - 1 for l.
1
Let j(o) = -o**2 - 5*o + 38. Let r be j(-9). Let g be 0 - (2/(-2) + -2). Let d be 46/4 - (-1)/(-2). Solve -g*k - f + d = r, 13 = 5*k + f for k.
2
Let o(l) = l**3 - 19*l**2 + 94*l - 33. Let w be o(11). Solve -3*y | {
"pile_set_name": "DM Mathematics"
} |
alculate (0 - 0 - 0) + 3 + -37 + 24.
-10
What is 18 + -10 - 37 - -19?
-10
What is the value of 10 + -29 - (-2 - (1 + 2 + -1))?
-15
Calculate (-2 - -1) + (14 - 7 - 0).
6
Calculate 25 + -1 + (-61 - -21).
-16
What is 0 + (-2 - (-11 - 1))?
10
Calculate -16 + -4 - ((14 - 6 - 4) + -10).
-14
Calculate 1 + 19 + (-16 - -9) + -6 + -9.
-2
Calculate (-3 - 7 - (-3 + 0)) + -90 + 90.
-7
Calculate 89 - 82 - (16 + (-1 - 0)).
-8
Calculate -3 + (2 - (7 - 3)).
-5
29 + 2 - (-61 - -29 - -52)
11
What is the value of 10 + (-7 - (-12 + -5)) + -33?
-13
Calculate -20 - ((11 - (14 + 0)) + 1 + 6).
-24
Evaluate (-22 + 11 - -2 - -6) + 1 - 7.
-9
What is the value of 4 + (3 - 6 - 9) + 13?
5
What is the value of 18 + 10 + (-20 - 1)?
7
Evaluate -48 + 33 + 18 + -1 + 4.
6
What is the value of (-26 - -28) + 0 + (7 - (0 - -3))?
6
What is (21 - 41) + (2 - 4 - -2) - -8?
-12
What is 8 - (8 - (-6 - -3 - (-1 - 4)))?
2
Evaluate -1 + -7 + (1 - -9) + -1.
1
What is the value of 13 + (-7 + -10 + 7 - (2 - 10))?
11
31 + (0 - (-7 + 12)) + (0 - 10)
16
What is -15 - (-5 + -2 - (-2 + 1)) - 10?
-19
Evaluate (-7 - (-5 + -1 - 3)) + -14.
-12
Calculate (39 - 14) + -13 + 1 + -29.
-16
Calculate -1 + (-5 - 0 - -2).
-4
What is the value of 7 + -9 - (1 - (3 + 1 - 2))?
-1
Calculate -7 + -13 + 25 - (8 + 2).
-5
13 - (-6 + (-4 - -9))
14
What is the value of 2 + -9 + -2 + 9 + -16?
-16
What is (-1 - -2) + -5 + (1 - -2 - 3)?
-4
-1 + 17 + -23 + -9
-16
Evaluate -10 - -11 - (24 + -10).
-13
What is 6 + (9 - (0 - -7)) + -1?
7
What is the value of 27 - 27 - (33 - 15)?
-18
What is 28 - 0 - (-9 - (-9 + -19 + 14))?
23
What is the value of 3 - (12 + -3) - (-10 + (2 - -25))?
-23
Calculate 50 - 38 - (-3 + 3 + 1).
11
Evaluate 19 + 25 + -80 + 24.
-12
11 + -13 + -6 + 3
-5
What is the value of -2 + -1 - (110 - 96) - 0?
-17
What is the value of 1 + 20 + 4 - (3 - (-1 - -5))?
26
11 + -6 + -7 + 3
1
-5 + (3 - 3 - -14)
9
2 - 3 - (-8 + 6 + 9)
-8
Evaluate -17 - (1 + -2 + 7 + -9 + -3).
-11
Evaluate -3 - (-15 - (-2 + (-4 - (-6 - -4)))).
8
Calculate 10 + (-10 - -12) + -6.
6
What is the value of (52 + -39 - -7) + -35?
-15
Calculate 32 + (-13 + 9 - 14).
14
(-5 + -2 - -3) + (-1 - 4) + -22
-31
Calculate -14 - ((-8 - -5) + -5).
-6
Evaluate 31 - (59 + -23 + 2).
-7
What is -23 + 15 + 11 - -32?
35
Evaluate (-20 - -36) + -14 + 2 + 3.
7
Evaluate (7 + 12 - (8 + -3)) + -8.
6
Evaluate -18 - 1 - (56 + -69) - -11.
5
What is -5481 - -5498 - (0 - (-1 + 8))?
24
What is 3 + (17 - 32 - -18)?
6
What is the value of 42 + -38 + 2 + -34?
-28
Calculate 4 + (-7 - -8 - 7) + 7.
5
What is 43 - ((-13 - 16) + 34)?
38
Calculate -56 - -60 - ((3 - -2) + 5).
-6
Calculate 2 + (-21 - -20) + -10.
-9
((44 - (7 + -11)) + -9 - 6) + -12
21
What is 4 + -24 + -14 - (0 - -2)?
-36
What is the value of -22 + 16 + 18 - 27?
-15
What is -13 - (-17 + (-4 - -13))?
-5
Calculate 10 - (-4 - (-4 - (-2 - 0))) - -3.
15
17 + -83 + 25 + 31
-10
Calculate -12 - (-9 + (19 - 43)).
21
Evaluate -26 + 8 + 114 + -71.
25
Evaluate 0 + 12 + 9 + -11.
10
What is 1 - (-28 + -9) - (11 - 2)?
29
What is -10 + -3 + 11 - 1?
-3
What is the value of -1 - (-25 - (0 + -9))?
15
What is 0 + (-23 + 10 + 8 - (-3 - -26))?
-28
Evaluate (0 + 2 - (-11 - (-4 + -4))) + 0.
5
Evaluate -11 + (-95 - -97) + -1 + 0.
-10
Calculate -29 + -18 + 5 + 16.
-26
What is -2 - -10 - (-60 - -71) - (-8 - 1)?
6
Calculate 4 - (12 - ((10 - 21 - -18) + -1)).
-2
What is 27 + -37 + 23 + -24?
-11
-2 + (1 - 2) - (32 - 35) - -11
11
Evaluate (558 - 571) + (1 - 10).
-22
Evaluate -12 + 30 - 14 - (31 - (2 - 0)).
-25
Evaluate (102 - 108) + -9 + 2.
-13
What is 2 + -3 + 3 + (23 - 107 - -59)?
-23
19 + 37 + -25 + -11
20
What is 10 + 27 + -23 + -31?
-17
Evaluate -3 - ((-1 - -3) + 32 + -39).
2
What is 11 + 1 + -9 + 4?
7
-2 + 8 - (11 + -4)
-1
Evaluate -12 - -2 - (-9 + (-1 - -24)) - -8.
-16
(111 - 125) + -2 + 1
-15
(4 + -2 - 18) + (2 - 10)
-24
What is 1 - 1 - (-18 + 8 + 5) - -8?
13
What is 4 - (-12 + 8 + 11 + (3 - 4))?
-2
Evaluate 1 + (22 - ((-13 - -8) + 3 - 7)).
32
-47 + 15 + 32 + (-2 - 1)
-3
-1 + (-5 - (4 - -1 - 2))
-9
What is 537 + -524 + (-28 - 0)?
-15
Evaluate (-160 - -184) + 3 + -1.
26
What is (0 - 1) + 3 + (-9 - -12)?
5
0 - 4 - (15 + (-34 - -10)) - 1
4
Evaluate (-21 - -5) + 12 + 1.
-3
What is the value of (-9 - (-27 + 6)) + (4 - 20)?
-4
Calculate 24 - (-1 + -2 - (140 - 151)).
16
What is the value of (-20 - 0 - -2) + 453 + -440?
-5
What is the value of (0 - 0) + 252 + -263?
-11
Evaluate 30 + -46 + -5 - -36.
15
Evaluate (11 - (20 - (4 + 8))) + (-15 - -1).
-11
30 - (76 + -5) - -17
-24
What is (-15 - 0) + 7 - (-16 + 3)?
5
Evaluate 5 + 6 + -4 + 1 + 0 + -11.
-3
What is the value of (2 - 6) + -17 + 13?
-8
Calculate (70 - 79) + 17 + 0.
8
What is -3 - (-1 + 1 - (23 - 20) - -10)?
-10
Evaluate (-7 - 1 - (-3 - 0)) + (9 - -2).
6
Evaluate (2 - -19) + (31 + -23 + 18 - 19).
28
What is 14 - ((0 - -11) + 2 + -2)?
3
What is (1 - -10) + (6 + -12 - -6)?
11
Evaluate 18 + -22 + -3 + 17.
10
What is (-21 - (-24 + 14)) + 15 - (12 + 0)?
-8
What is (-27 - -14) + 11 + (6 - 2) + 5?
7
Calculate -34 - -32 - -3 - -9.
10
Evaluate 2 + (2 + -2 + 8 + -2 - 5).
3
What is the value of -11 + 4 + -5 + (5 - -3)?
-4
1 + -1 + 12 + -1 + 10 + -14
7
What is the value of (-3 + -2 - (7 + -12)) + (5 - -1)?
6
Evaluate (8 + -17 + 5 - (0 + 0)) + 0.
-4
Evaluate 8 + 12 + (-30 - 3).
-13
Evaluate 5 - (3 + (-3 - -8)).
-3
What is -3 + 12 + 0 + 135 + -126?
18
What is the value of (16 - 13 - -2 - (7 + -1)) + -13?
-14
What is 6 + (-1 - -43 - 15) + -16?
17
39 + 2 + (35 - 69)
7
What is 6 - (61 + -60 - (-15 + -1))?
-11
What is the value of -13 + -27 + 7 + 34?
1
Evaluate 0 - (0 - ((-4 - -4 - 1) + -5)).
-6
Calculate 1 + -7 + 39 + -40.
-7
What is the value of 5 + (0 + -7 - -7)?
5
Evaluate 2 - 1 - -21 - ((-17 - -15) + 10).
14
7 + (12 + -5 + -14 - -3)
3
What is the value of 9 - (0 + -4 + -183 + 193)?
3
-136 + 132 - (3 + (3 - 1) + -3)
-6
Evaluate (2 - 2 - 0) + (-11 - (-7 - 10)).
6
Calculate (-7 - -4) + (0 - 6) + 21 + -20.
-8
Evaluate 3 + (-2 - -5) + (14 - 8 - 10).
2
What is 43 - 36 - (-3 + 14)?
-4
What is the value of -6 + (-30 - (-22 - -1))?
-15
Calculate 17 + (2 - (-21 + 20)).
20
What is the value of (7 - (4 - (8 - 16))) + 9?
4
Calculate 49 + 1 - (-4 + (21 - -1)).
32
Evaluate 21 - (24 + 12 - -12).
-27
What is -3 + -1 + -2 + 0 - (113 + -107)?
-12
(6 - (3 + -2 + 10)) + 2
-3
What is the value of (5 - 16 - -8) + 9?
6
(4 - (11 + 4 + -8)) + (2 - 1)
-2
Evaluate (5 - 13) + 4 + -6 + 5.
-5
What is (-1 + 1 - 0) + -7 + 13?
6
What is the value of 17 - (11 + -13) - 4?
15
-6 - (1 + 0) - (-6 + 9)
-10
Calculate -3 + (-9 - -9) + (-4 - (-3 + 0)).
-4
What is -3 - (15 - -4 - 14) - 2?
-10
What is (-18 - -10 - 2) + 2 + -11?
-19
-28 - 8 - (-8 - 49)
21
Calculate 2 + (-1 - (-1 + -1)) + 625 + -617.
11
What is -3 + -9 - -15 - (-3 - -3)?
3
What is the value of -39 + 80 + 17 + -53?
5
-25 - 5 - -42 - (-1 + 3)
10
-13 - -6 - 4 - (0 - 24)
13
Calculate 89 + -73 - (-1 - (-4 + 3)).
16
What is (4 - 1) + (9 + -5 - 0) + 3?
10
What is the value of (29 - 28) + -3 + 1 - (27 - 23)?
-5
What is -16 + 13 + (-25 - -3)?
-25
3 + (2 - 2) - -11 - 15
-1
Evaluate 13 + (5 - (9 + -4 - -2)).
11
Evaluate (13 - 7 - -2) + -17 - (-2 - -4).
-11
What is -17 - (-2 + -2 + -12)?
-1
Calculate -4 - (-256 + 262 - (12 - (-2 - -1))).
3
Calculate -14 - (23 + -17 - 25) - -27.
32
0 + 5 - (51 + -45 - (-2 - -4))
1
-17 - -26 - -4 - (4 + -2 + -2)
13
What is 43 + (5 + 7 - 35)?
20
Calculate 7 + -15 + -4 + 4.
-8
What is the value of -1 + 6 - (8 - 0) - -4?
1
What is the value of -6 + (3 - (4 - 7)) + -7?
-7
Calculate 104 + -88 - (1 + 23).
-8
What is -2 - -12 - (-6 + (-22 - -35))?
3
3 + (1 - 10) + (15 - 12 - 12)
-15
Calculate -8 + (-8 - (-3 + 16 - 1) - 5).
-33
What is -33 - (23 - (-30 - -78))?
-8
Evaluate (-5 + 14 + -9 - 3) + 15 + -7.
5
What is 15 - (-83 + 81 - (0 + -10))?
7
What is the value of 11 + (18 - 4 - (3 + 8))?
14
Calculate 33 + (6 - 4 - (1 + 7)) - 8.
19
(-12 - -2) + (3 - -9) - (1 - -7)
-6
-409 + 395 - ((-3 - -21) + 3)
-35
What is 7 - (9 - (-7 + 8))?
-1
Evaluate -1 - (13 + (10 - 16)).
-8
Evaluate (-2 - -7) + (-21 + 5 - -8).
-3
What is the value of (-10 - (-1 - -10)) + 5?
-14
Calculate 9 + (5 - 17) + -2 + (-1 - -1).
-5
Evaluate (-9 - (-23 + 2)) + (-27 - -2).
-13
Calculate 9 + (-1 - 10) + 15 + -22.
-9
Calculate 17 + -11 + -3 + 18 + 7.
28
Calculate 6 - (-2 - 2 - (139 + -134)).
15
Calculate 1 + 0 + -1 + 0 | {
"pile_set_name": "DM Mathematics"
} |
ich is the third biggest value? (a) -1/22274 (b) -0.07 (c) -24 (d) -5 (e) -1 (f) 5 (g) 4
a
What is the fourth smallest value in -5, 0.1, 5, 2110.752?
2110.752
Which is the third biggest value? (a) 96 (b) 0.057 (c) -3223
c
Which is the third biggest value? (a) 0.005 (b) -124 (c) 0.386
b
What is the second biggest value in -6/7, 428612, 0.7?
0.7
What is the smallest value in -144873, 3/7, -14, -0.1?
-144873
What is the fifth smallest value in 0.01, -0.064904, -28, 0.4, -0.2?
0.4
What is the second biggest value in 223, -2/9, 0.088, -0.4, -1.2, -82?
0.088
Which is the fifth biggest value? (a) 0 (b) 3.922 (c) -6/5 (d) 1 (e) 0.4 (f) -2/5
f
Which is the second biggest value? (a) 3028/5 (b) 0 (c) -1433
b
Which is the second smallest value? (a) 18 (b) -173 (c) 3 (d) 2/7 (e) -10/7
e
What is the third smallest value in 353, 0.5, -8.47, -9, -4/5?
-4/5
Which is the biggest value? (a) 0.1 (b) -5561/327 (c) 0 (d) 1
d
What is the second smallest value in -3, 47.6, -1/3, -0.5, -4, 448?
-3
Which is the fourth biggest value? (a) -22 (b) -170 (c) -648 (d) 0 (e) 4 (f) 0.1
a
What is the sixth smallest value in 1.7, 12, 2, 0.0373, -1, -1/4, 0.4?
2
Which is the third smallest value? (a) 10 (b) -0.6 (c) 0 (d) -7 (e) 4 (f) 69
c
What is the third smallest value in 10, 57, -0.1, 43.5?
43.5
What is the sixth biggest value in -2/7, 4/7, 5/4, 32, 1, 0.64, 2?
4/7
Which is the third biggest value? (a) -5/2 (b) -18 (c) 23982
b
What is the sixth biggest value in -496, -4/3, 3, 0.3, -2/3, 6/65?
-496
What is the fifth biggest value in 1/3, -23, -4, 3, -247, 2/17?
-23
Which is the smallest value? (a) -0.13 (b) -1/38 (c) 18 (d) 369
a
Which is the biggest value? (a) -7 (b) 0.4569 (c) -0.01 (d) -2 (e) 2
e
Which is the smallest value? (a) -2 (b) -47/14 (c) 3/8 (d) -1.7 (e) -6 (f) 2/3 (g) 0.5
e
What is the fourth smallest value in 3, 9356, -0.03, -1?
9356
Which is the second smallest value? (a) 470 (b) 2/25 (c) 6 (d) -14/3
b
Which is the third smallest value? (a) 7 (b) 0.281639 (c) -5 (d) 0.5
d
Which is the third smallest value? (a) -12 (b) 3 (c) 5 (d) -0.048 (e) 2 (f) 1.1
f
What is the fifth smallest value in -156, -0.2, 5, 1, 2?
5
What is the smallest value in 15, -4/7, 1/12, -2/3, 2077, 2.52?
-2/3
Which is the smallest value? (a) -0.3 (b) 1/5 (c) -32 (d) 0.5 (e) -5 (f) -382.6
f
What is the third smallest value in 0.005, -10/597, 4, 1/17, -0.2?
0.005
Which is the third smallest value? (a) 0.17 (b) -30 (c) 2/11 (d) 3196
c
What is the second biggest value in -359.3, 2/217, -2?
-2
Which is the seventh biggest value? (a) 0.0283 (b) -4 (c) -2.6 (d) 5 (e) 4 (f) -3 (g) -2
b
What is the smallest value in 0.2, 12, 545, -0.5, 0.08?
-0.5
Which is the smallest value? (a) -2/9 (b) 7/4 (c) -4 (d) -3 (e) 1 (f) -1/2 (g) -309
g
What is the fourth smallest value in -4, -3/5119, 0.5, -1/1474?
0.5
What is the third smallest value in 4, 1/40, 3/4, 39.01?
4
What is the fourth biggest value in -2, 322, 2/9, -317, 0.1, -0.4, 4?
0.1
What is the second smallest value in -1597, 2/339, -6?
-6
Which is the second biggest value? (a) -0.027 (b) -2 (c) -1563 (d) -44
b
Which is the third smallest value? (a) 1 (b) -7979 (c) 27 (d) 9
d
Which is the fourth biggest value? (a) 24 (b) -40 (c) 31 (d) 1/33
b
Which is the fifth smallest value? (a) 14 (b) 1 (c) 134/13 (d) -2/5 (e) 5
a
What is the fourth biggest value in -5, 15837269, 5, -4?
-5
What is the fourth smallest value in -2/15, -0.3, -2/29, 2/11, -4, 0, 0.9?
-2/29
What is the smallest value in 3, 17744, -71, 1, 1/2?
-71
What is the second smallest value in -0.2993772, -2/3, 2/5?
-0.2993772
What is the fifth biggest value in 0.3, -2, 1, 17118, 0.05?
-2
Which is the fourth smallest value? (a) -101 (b) -2 (c) 148 (d) 36 (e) 1/6 (f) -10 (g) -3
b
What is the biggest value in 1, 0.4, -0.4, -11.599, -8, -3/4?
1
What is the biggest value in -2.4, 1, -2, -3/2, -388, 5?
5
Which is the second smallest value? (a) 1597 (b) 2 (c) -2 (d) 4 (e) 11 (f) 4/3
f
Which is the third smallest value? (a) -3/7 (b) 0.02 (c) 180 (d) 313 (e) -1/7
b
What is the fourth smallest value in -0.07, -2/11, -3.5566, 0?
0
What is the smallest value in -1510, 1/58, -10, 0.1, -1/9, -2/9?
-1510
Which is the third smallest value? (a) 16.3 (b) -27 (c) -2.9 (d) 2/13 (e) 3 (f) 5 (g) -3/5
g
What is the third biggest value in -1/2, 0.4, 38094130, -5?
-1/2
What is the fourth smallest value in 2, 47, 0.1, -1/10, 5, -75?
2
Which is the smallest value? (a) -14 (b) 34 (c) -4 (d) 1/5 (e) 0.086 (f) 1.5 (g) -1
a
Which is the third smallest value? (a) -0.5 (b) 0.04089 (c) -0.4 (d) -4 (e) -3
a
Which is the third smallest value? (a) 523 (b) -30816 (c) 0.07
a
Which is the third smallest value? (a) -1/9 (b) 2 (c) -0.07 (d) -1514 (e) -7/4
a
Which is the sixth biggest value? (a) 598/5 (b) 0 (c) 2/15 (d) -5 (e) 2/53 (f) -4 (g) -31
d
Which is the third biggest value? (a) -0.2 (b) 0.069 (c) 4/5 (d) -103 (e) 27.3
b
What is the fourth biggest value in 0.3, 1, -331, -0.00283?
-331
What is the fourth biggest value in 47, 5, -4, -0.0343895?
-4
Which is the fourth smallest value? (a) -2 (b) -0.107 (c) 0.4 (d) -5 (e) 327 (f) 15
c
Which is the seventh biggest value? (a) -4/3 (b) -0.51 (c) -2 (d) -456 (e) 1/5 (f) -4 (g) 5
d
Which is the smallest value? (a) -2/3 (b) 28 (c) -3 (d) -1050
d
What is the fourth biggest value in -1, -2.3029, 2/11, 628, 2/9?
-1
Which is the second biggest value? (a) -38 (b) -2 (c) 1/546 (d) -0.3 (e) -3/5 (f) -3 (g) 4
c
What is the biggest value in -96825, -1.1, 0.8?
0.8
Which is the seventh biggest value? (a) 31 (b) -4 (c) 0 (d) 1/2 (e) 25 (f) -0.3 (g) -82
g
Which is the fourth biggest value? (a) 228.19 (b) -0.2 (c) 0 (d) -3/7 (e) -0.4
e
Which is the second biggest value? (a) 0.4 (b) 1/3 (c) 1678/13 (d) -0.94 (e) 7
e
What is the seventh smallest value in -3/5, -2/37, -2/3, -5, 0.3, 0.94, 1/9?
0.94
Which is the second smallest value? (a) 1/19 (b) 1/6411 (c) 0.1 (d) 0 (e) 34
b
Which is the second smallest value? (a) -0.3 (b) -475 (c) -0.5 (d) 12 (e) 1 (f) 19 (g) 2
c
Which is the fourth biggest value? (a) 0.007 (b) 5 (c) -5/41 (d) -0.2 (e) -0.06
c
Which is the smallest value? (a) -10 (b) 24 (c) 2/11 (d) -1 (e) -4 (f) -3/2
a
What is the smallest value in 0.5, -4, -780460, 2/11?
-780460
What is the fifth smallest value in 0.27, -0.166, -3, -12, -2/5?
0.27
Which is the second smallest value? (a) -8300 (b) -182 (c) 0.3
b
What is the fourth smallest value in -13, 9/8, 3.994, -1/3, 2?
2
Which is the second smallest value? (a) -53 (b) 0.1 (c) 1 (d) 6 (e) -2 (f) 28 (g) -3/2
e
Which is the third smallest value? (a) 2100703 (b) 35 (c) -2/3 (d) 1
b
What is the third smallest value in 0.2, 4, -6/5, -8, 1, 5, -2/13361?
-2/13361
Which is the smallest value? (a) 1/6757 (b) -4 (c) -17147
c
Which is the seventh smallest value? (a) -20 (b) 0 (c) -3 (d) -2 (e) -2974/7 (f) 0.3 (g) -0.1
f
What is the sixth smallest value in -0.023, -6, 2/3, -1/2, -4, -0.07?
2/3
Which is the biggest value? (a) -0.00726 (b) 35 (c) -275
b
Which is the fifth smallest value? (a) 0.5 (b) 0.1 (c) 76 (d) 140 (e) 0.2 (f) 1/6 (g) 17
g
What is the fifth smallest value in 4, -12/17, -0.07, -0.5, 0.016, 10/19?
10/19
What is the third smallest value in -819, 4, 2621?
2621
What is the third smallest value in -2.3, -5, -10251, 1?
-2.3
Which is the third smallest value? (a) 73/16 (b) -2 (c) 0.33 (d) -2/5
c
Which is the second biggest value? (a) 0.1 (b) -1698289 (c) -16
c
Which is the smallest value? (a) -1 (b) 0.2169 (c) 43 (d) 52
a
What is the third biggest value in 11, -1.82, 4, 0.32, 0.4, 3?
3
What is the second biggest value in 4567, 4, -3/94, -2/15?
4
Which is the second biggest value? (a) -0.56 (b) -34/5 (c) -3/7 (d) -10 (e) 0 (f) -1/2 (g) -2/3
c
What is the seventh smallest value in 2/7, 0.5, -2, -7155, 1.83, 4, 0.4?
4
Which is the second biggest value? (a) -3 (b) 5 (c) 897/10 (d) -0.36 (e) -5
b
What is the third smallest value in 0, -125/6, -278, -2/9?
-2/9
Which is the third smallest value? (a) -10 (b) -395/11 (c) 1/7 (d) 4 (e) 3 (f) 16 (g) 1/4
c
What is the se | {
"pile_set_name": "DM Mathematics"
} |
*5
Expand (-2*l + 0*l + 3*l + (0*l + 0*l - 2*l)*(2 - 1 + 1))*(-3*l + 5*l + 0*l) + 1 - 1 + 2*l**2 + (3 - 4 + 0)*(4*l**2 + 3*l**2 - 6*l**2).
-5*l**2
Expand (0 - 5 + 1 - 2 + 6 - 3 + (5 - 2 - 2)*(-1 - 3 + 6) - 3 + 2 + 0)*(h + 0*h + h).
-4*h
Expand (1 + 2 - 5)*(0*u**3 - u**3 + 0*u**3) + 2*u**3 + u**3 - u**3 + (0*u**2 + 0*u**2 - 3*u**2)*(-2*u + 0*u + u).
7*u**3
Expand (3 - 3 + 2*i + i - 3*i + 0*i + (0 + 1 + 1)*(-i + 2*i - 2*i))*(i**2 + i**3 - i**2).
-2*i**4
Expand (0*t + 0*t + 3*t**3)*(-4 - 6 + 2 + (0 - 1 + 2)*(-1 - 3 + 3) + 1 + 1 - 3) - 3*t**2 + 3*t**2 + t**3.
-29*t**3
Expand (2*i**3 - 2*i**3 - 4*i**3)*(2 - 1 + 1)*(-3 - 3 + 5).
8*i**3
Expand q**2 + 0*q**2 - 3*q**2 + (44 - 44 - 3*q)*(-4*q + 4*q - q).
q**2
Expand (-3*t + 3*t - t)*(3*t**3 - 3*t**3 - t**4) - 7 - 8*t**5 + 7.
-7*t**5
Expand (0*w**2 + 0*w**2 + w**3)*((5 - 5 - 2*w)*(w + w + 0*w) + 4*w**2 - 3*w**2 + 0*w**2 + w - w - 3*w**2) + 2*w**5 + 6*w**3 - 6*w**3.
-4*w**5
Expand (-n**2 + 2*n**2 - 3*n**2)*(-3*n**2 + 3*n**2 + n**2) - 1203*n + 1188*n - 2*n**4 + n**4.
-3*n**4 - 15*n
Expand ((2*y - y + y)*(2*y + 3*y - 4*y) + y**2 - 4*y**2 + 0*y**2)*(0*y**2 - y + 4*y**2 - 6*y**2).
2*y**4 + y**3
Expand 5 - 4 - 6*p + 3*p - p + 4*p - 5*p - 2*p - 4*p + 4*p + 2*p + 1 - 1 + (5 - 4 - 2)*(-4*p + 5*p - 3*p) - 3*p + 5*p - 3*p + 3 - 3 + 2*p.
-2*p + 1
Expand (w**3 + 2*w - 2*w)*(-w + w - 2*w) + 16*w**4 - 3*w**4 + 1 + 0.
11*w**4 + 1
Expand (0*m**2 + 4*m**2 - 3*m**2)*(2*m + 2*m - 5*m) + 2*m**2 + 3*m**3 - 2*m**2.
2*m**3
Expand 2 + 2 - 2 - 2*u + (3*u - u - u)*(3 + 0 - 5) - 3*u - u + 11*u + (3*u + u - 3*u)*(1 + 1 + 0).
5*u + 2
Expand (a**3 - 3*a**3 - a**3)*(1 + 0 + 1 + a**2).
-3*a**5 - 6*a**3
Expand (2*d - d + 0*d)*(6*d + 4*d + 0*d) + (-d + 0*d + 0*d)*(-2*d + 0 + 0).
12*d**2
Expand (6*n - n - 3*n)*(-40 - 6*n + 3*n + 5*n).
4*n**2 - 80*n
Expand (-5*k - 5*k - 7*k)*(-3*k**2 + 4 + 2*k**2 - 3).
17*k**3 - 17*k
Expand (o - 3*o + 4*o)*(0*o**2 + 4*o**2 - 2*o**2) - 4*o - 2*o**3 + 4*o + (o - o - o)*(-5*o**2 - 5 + 4*o**2 + 2).
3*o**3 + 3*o
Expand (1 - 1 - 2)*(1662 + 41*i - 1662).
-82*i
Expand (-15*w**3 + 15*w**3 - 9*w**4)*(2 - 2 + w)*(1 + 0 + 0).
-9*w**5
Expand (-3 - 1 + 5)*(-h**2 + 2*h**2 + h**2)*(2 - 2*h**3 - 2) - 3*h**5 + 11*h**5 + 0*h**5.
4*h**5
Expand (z**4 + 0*z**3 + 0*z**3 + 0*z**4 + 3*z**4 - 5*z**4 + (0*z + 0*z + 2*z**4)*(-1 - 3 + 6))*(3 + 2 - 2).
9*z**4
Expand (0*g + g - 2*g)*(-2*g + g + 0*g) + 2*g + 2*g**2 - 2*g + 2*g**2 - 2*g**2 + g**2 + 0*g**2 - 3*g**2 + g**2 + (7*g - 4*g - g)*(2*g + 3*g - 4*g).
4*g**2
Expand -t + 2*t + 0*t + (1 - 1 + 4*t)*(5 - 5 - 2) + 1 - 1 - 2*t - 3*t - 4*t + 10*t.
-6*t
Expand ((1 + 1 - 4)*(2 - 1 - 3) + 3 - 3 - 1 + 0 - 4 + 2)*(3*f - 5*f + f).
-f
Expand (3*k + k + 0*k)*(k + 3*k - 2*k).
8*k**2
Expand (-31*t**2 + 23 - 23)*(2*t - 2*t - t).
31*t**3
Expand -202*o - 195*o + 338*o + (o + o - 4*o)*(0 - 4 + 2).
-55*o
Expand 4*i**4 - i**4 - 5*i**4 + (2*i**3 - 4*i**3 - i**3)*(i - i + 2*i).
-8*i**4
Expand (-9 + 9 + 4*a**2 + (-5*a - a + 4*a)*(-3 + a + 3))*(0*a**2 - 4*a**2 + 5*a**2).
2*a**4
Expand (0*s**2 + s**2 + s**2)*(-2 - 5 + 3)*(-2*s**3 + 2*s**3 + s**3).
-8*s**5
Expand (18*o - 33*o + 2 + 12*o)*(-2*o + o - o).
6*o**2 - 4*o
Expand (1 + 1 - 1)*(2 - x**3 - 2)*(8*x**2 + 0*x**2 - 2*x**2).
-6*x**5
Expand (2*k - k - 2*k + k + 4*k - 4*k + (0*k + 2*k - k)*(1 - 1 + 2))*(-4 + 3 + 9).
16*k
Expand (z**3 - 5*z**3 + 6*z**3)*(z - 2 + 2) + (3*z**2 - 4*z + 4*z)*(-4 + 3*z**2 + 4).
11*z**4
Expand (-2 - 2 + 2)*(-2*k**4 - 7*k**4 + k**3 - 4*k**4).
26*k**4 - 2*k**3
Expand (4*f + f - 4 - 3*f)*(-6*f - 3*f + 4*f - 1).
-10*f**2 + 18*f + 4
Expand (42 - 27 - 44)*(2*i + i - 2*i).
-29*i
Expand (6*h - 4*h - h)*(-h + h + h**2) + 3*h**3 - 3*h**3 + 2*h**3 + (7*h**2 - 5*h**2 + 4*h**2)*(-4*h - h + 1 + 4*h).
-3*h**3 + 6*h**2
Expand (0 + 3*m + 2 - 2*m)*(-6*m**2 + 0 + 11*m**2 - 1).
5*m**3 + 10*m**2 - m - 2
Expand (-4*f + 11*f - 8*f)*(-f + f - 5*f**2).
5*f**3
Expand -2*z**3 + 4*z**3 + 0*z**3 + 13 + 8*z**3 - 13 + (-2*z + z - z)*(z**2 - z**2 + 2*z**2) - 5*z**3 + 3*z**3 + 3*z**3 - 2*z**3 - 2*z**3 + 3*z**3.
6*z**3
Expand (0*v**3 + 2*v - 3*v**3 - v)*(-v**2 - 2*v**2 + 5*v**2).
-6*v**5 + 2*v**3
Expand (3 + o - 3)*(-4*o - 5*o + 4*o)*(-2 + 2 - 2).
10*o**2
Expand (-1 - l**2 + 1)*(6*l - 3*l - 2*l) + (2*l**2 - 2*l**2 + l**2)*(4 - l - 4) + (-l**2 + l**3 + l**2)*(-5 + 0 + 3) - 3*l**3 - 4*l**3 + 5*l**3.
-6*l**3
Expand (x + 2*x**2 - x)*(2*x - 3*x - x) + (-x**2 + x**2 - x**2)*(5*x - 6 + 6).
-9*x**3
Expand (0 + 1 + 1)*(-4 + 1 + 2)*(17*p**3 - 7*p**2 + 7*p**2).
-34*p**3
Expand (-3*u**2 + 3*u**2 - 2*u**3)*(8 - 2 + 10).
-32*u**3
Expand ((-f**3 + 4*f**3 - 4*f**3)*(-f - 2*f + 4*f) + 9*f**4 - 8*f**4 - 4*f**4)*(-f + f + f) + f**5 - f**3 + f**3.
-3*f**5
Expand -f + 2*f + 0*f + (-f - f + f)*(-1 - 2 - 1) + 2 - 2 - 2*f + f - f + f + (1 - 4 + 1)*(3*f - 2*f - 2*f) + 0 - 3*f + 0.
3*f
Expand (-2*z**2 - 3 + 3)*(7 - 3 + 1) + 6*z**2 - 2*z**2 - 2*z**2 - z**2 - z**2 + 0*z**2 - 4*z**2 - z**2 + 3*z**2 - 6*z**2 + 3*z**2 + 2*z**2.
-13*z**2
Expand (0 - 3 + 1)*(2 + 2 - 5)*(5*p - 2*p - p).
4*p
Expand (b**2 + 0*b**2 + 0*b**2)*(b + 0*b + 0*b) + b**3 - 4*b**3 - b**3 + 0 + 0 - 2*b**3.
-5*b**3
Expand (-5 + 5 - 19)*(-6*q**4 + 3*q**4 + q**4) + 3*q**4 - 5*q**4 + 0*q**4.
36*q**4
Expand i**5 - 4*i**5 + 4*i**5 + (4*i**2 + 0*i**2 - 2*i**2)*(-2*i**3 + i - i) - 4*i**5 + 3*i**5 - 2*i**5 - i**2 + 0*i**2 + 2*i**2 - 2*i**5.
-8*i**5 + i**2
Expand 0*o + 3*o + o + (0*o + o - 2*o)*(-5 + 4 + 2) - 1 + 1 + 5*o.
8*o
Expand 0*b + 0*b - b**3 + (-b**2 + 0*b**2 - b**2 + (-4*b + 0*b + 2*b)*(1 + b - 1) + 4*b - b**2 - 4*b)*(-4 + 2 + 0)*(-2*b - 2*b + 0*b).
-41*b**3
Expand (-4 + 2*q**2 + 4)*(3*q - 2*q + q + (-q + 2*q - 2*q)*(-1 + 0 - 1)).
8*q**3
Expand (q - q + 2*q**2)*(0 + 0 + q) + q**3 - 2*q**3 + 13*q**3.
14*q**3
Expand 5 + v**2 - 5 + (-45*v - 3*v**2 + 45*v)*(-2 - 3 + 6) - v**2 - v**2 - 2*v**2.
-6*v**2
Expand (3*v - 3*v - 2*v)*(-2*v**4 + 4*v**4 - v**4).
-2*v**5
Expand -1216 + 1216 + 6*l + (-5*l + 5*l - 2*l)*(0 - 4 + 3).
8*l
Expand (0*m + 0*m - m)*(m**2 + m**2 - m**2) - m**3 + 4 - 5*m**3 + 5*m**3 + (-2*m - m + m)*(5*m**2 - 3*m**2 + 0*m**2) + 0*m**2 + 0*m**2 - 2*m**3.
-8*m**3 + 4
Expand (k**2 + 0*k**2 + 2*k**2)*(24 - 24 - 6*k**2).
-18*k**4
Expand (-l**3 + 0*l**3 - l**3)*(10 + l - 10) + 0*l**4 - 2*l**4 + 3*l**4 + 2*l**4 - 7*l**4 + 3*l**4 + l**4 - 5*l**4 + l**4.
-6*l**4
Expand j - j - 5*j + (-2 - 2*j + 2)*(-3 + 0 + 2) + 3 - 4*j - 3.
-7*j
Expand -s**2 + s**2 + s**2 + (0 + 0 + 1)*(-s**2 - 3*s + 3*s) + s**2 + s**2 + 0*s**2 + 2*s**2 - 3*s**2 - 2*s**2.
-s**2
Expand (563 + 20*y - 563)*(-4*y**2 - 3*y**2 + 6*y**2 - 2*y).
-20*y**3 - 40*y**2
Expand (1 - 2 + 4)*(-6*z**5 + 0*z**5 + 3*z**5 + (-2*z + z - z)*(-z**4 - z**3 + z**3)).
-3*z**5
Expand 3 + 5*m - 3 + (-4 + 3 + 3)*(9*m + 2*m + m).
29*m
Expand (-26*t + 4*t + 12*t)*(2*t**3 + 0*t**3 - 3*t**3).
10*t**4
Expand (-4 + 4 - 2*c)*(-5*c + 12 - 12)*(-c - 3*c + 6*c)*(4*c - 3*c**2 - 4*c).
-60*c**5
Expand (4 - 3 + 2)*(-4*p + 4*p - p)*(2*p - p - 3*p)*(0*p + p - 4*p).
-18*p**3
Expand (-26*r + 29*r + r**3 + 2*r**2 - 2*r**3)*(4*r**2 - 2*r**2 - 4*r**2).
2*r**5 - 4*r**4 - 6*r**3
Expand 0*l + 0*l + l**2 + (0*l**2 - 4*l**2 + 3*l**2)*(-1 - 3 + 2) + (8 + 2 - 5)*(-2*l**2 + 0*l**2 - 3*l**2).
-22*l**2
Expand (0 - m + 0)*(68 - 68 - 6*m**2) + 4*m**3 + 0*m**3 - 5*m**3.
5*m**3
Expand (2*s - 2 + 2)*(10*s + 2 - 6 - 13*s).
-6*s**2 - 8*s
Expand (-c - 6*c + 2*c)*(2 - 2 + 1 - 5*c).
25*c**2 - 5*c
Expand -3*v**2 - 2*v**4 + 3*v**2 + (-4 - 26*v + 4)*(-3*v**3 + 3*v**3 + v**3) + (3*v - 5*v + 0*v)*(0*v**2 + 2*v**3 + 0*v**2).
-32*v**4
Expand 38*i**4 - 76*i**4 - 84*i**4 + (-2*i + 1 - 1)*(2*i**3 - 2*i**3 - i**3).
-120*i**4
Expand (3*o - 5*o + o)*(0 + o + 0)*(375 - 80*o - 375).
80*o**3
Expand (4 + 14 - 16)*(-p**2 + 2*p**2 + 2*p**2).
6*p**2
Expand (-g**3 + g**3 + 2*g**3)*(-2 - g**2 + 0*g**2 + 0).
-2*g**5 - 4*g**3
Expand 26*x + 16 - 16 + (2*x + 3 - 3)*(-1 - 1 + 0).
22*x
Expand -4*c**3 + 2*c**3 + 3*c**3 + (2*c**2 - c**2 + c**2)*(-c + 3*c + c) + (0*c - 4*c - 2*c)*(c - c - 2*c**2).
19*c**3
Expand 2*d**2 + 2*d - 2*d + (-d + d + d)*(4*d - 2*d - 5*d) + (d**2 + 53*d - 53*d)*(3 - 2 + 1).
d**2
Expand (-2*g + 2*g - g)*(4*g**2 - 3*g**3 - 2*g**2 + 7*g**3).
-4*g**4 - 2*g**3
Expand (12*s - 3*s - 4*s)*(3 - 2*s - 3).
-10*s**2
Expand (5*z**3 - 4*z**3 + 0*z**3)*(-26*z - 17*z - 27*z + 15*z).
-55*z**4
Expand (1 - 1 - 2*l)*(3*l**2 + l**3 - 3*l**2) - l**4 + 4*l**4 | {
"pile_set_name": "DM Mathematics"
} |
hen two letters picked without replacement from {w: 2, k: 1}.
1/3
What is prob of picking 1 j and 2 y when three letters picked without replacement from {y: 6, j: 7}?
105/286
What is prob of picking 2 o when two letters picked without replacement from {p: 3, q: 2, o: 10}?
3/7
Four letters picked without replacement from {x: 5, g: 7}. What is prob of picking 3 x and 1 g?
14/99
Two letters picked without replacement from wjssjwufwj. Give prob of picking 1 s and 1 f.
2/45
Four letters picked without replacement from {c: 4, u: 14}. Give prob of picking 4 u.
1001/3060
What is prob of picking 1 r, 1 g, and 1 w when three letters picked without replacement from {w: 3, r: 4, g: 4}?
16/55
Three letters picked without replacement from rssv. Give prob of picking 2 s and 1 r.
1/4
What is prob of picking 1 x, 2 s, and 1 c when four letters picked without replacement from cszxu?
0
What is prob of picking 3 t and 1 x when four letters picked without replacement from xrrtgxgrrttrt?
8/715
What is prob of picking 2 t and 1 d when three letters picked without replacement from qtztqqzqzbddbtqqwz?
1/136
What is prob of picking 3 v and 1 j when four letters picked without replacement from {v: 5, t: 5, j: 4}?
40/1001
Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jwjwjjjwjjjjww.
45/91
Four letters picked without replacement from {o: 2, i: 2, j: 7, h: 1}. Give prob of picking 1 h, 1 o, and 2 j.
14/165
Calculate prob of picking 1 y, 1 s, and 2 r when four letters picked without replacement from {s: 2, n: 8, r: 3, y: 3}.
9/910
What is prob of picking 2 p when two letters picked without replacement from {p: 10}?
1
Two letters picked without replacement from rcpcpccwcpwwcccrcc. Give prob of picking 1 w and 1 p.
1/17
Three letters picked without replacement from igigigigggigiiggggg. What is prob of picking 1 i and 2 g?
154/323
Calculate prob of picking 1 r and 2 f when three letters picked without replacement from iiiirffirii.
2/165
What is prob of picking 3 b when three letters picked without replacement from {b: 7}?
1
What is prob of picking 1 o, 2 x, and 1 q when four letters picked without replacement from qxqoqzxlzzz?
1/110
Two letters picked without replacement from {w: 2, o: 2}. Give prob of picking 2 o.
1/6
Two letters picked without replacement from btmmccamqqbm. What is prob of picking 1 c and 1 a?
1/33
Two letters picked without replacement from {l: 2, k: 1, r: 2, h: 1}. Give prob of picking 1 r and 1 k.
2/15
Two letters picked without replacement from jhaajhhajhhjaa. What is prob of picking 2 j?
6/91
What is prob of picking 3 d and 1 h when four letters picked without replacement from ooobhhhdhoddduzodddh?
35/969
Calculate prob of picking 2 a, 1 n, and 1 l when four letters picked without replacement from lalallallan.
6/55
Four letters picked without replacement from {f: 2, l: 1, n: 4, b: 1, z: 1}. Give prob of picking 2 f, 1 l, and 1 n.
2/63
Two letters picked without replacement from {b: 1, m: 2, o: 5, h: 1, c: 3, d: 1}. Give prob of picking 1 m and 1 c.
1/13
Two letters picked without replacement from smmmszsmissasimsm. What is prob of picking 1 a and 1 s?
7/136
Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {v: 4, h: 1, w: 1, c: 2, q: 3}.
4/55
Calculate prob of picking 2 h when two letters picked without replacement from {z: 1, f: 3, i: 4, h: 4, u: 1}.
1/13
What is prob of picking 2 d when two letters picked without replacement from {a: 3, n: 9, d: 4}?
1/20
Calculate prob of picking 2 z and 1 r when three letters picked without replacement from {j: 4, x: 4, m: 2, d: 3, z: 3, r: 1}.
3/680
Calculate prob of picking 1 q and 1 j when two letters picked without replacement from qqqqjqqqqqqhqqlqj.
13/68
What is prob of picking 2 z, 1 g, and 1 f when four letters picked without replacement from zfezeggfwegegfge?
3/364
What is prob of picking 1 d and 2 o when three letters picked without replacement from wdiiono?
1/35
Three letters picked without replacement from {v: 2, z: 8, x: 2, r: 2, t: 2, e: 1}. Give prob of picking 2 z and 1 v.
7/85
Four letters picked without replacement from cqqjcjcc. Give prob of picking 1 j, 1 c, and 2 q.
4/35
What is prob of picking 1 i, 1 m, and 1 y when three letters picked without replacement from {k: 2, m: 2, q: 2, y: 2, i: 5}?
10/143
Two letters picked without replacement from uoguouoouuuuouo. Give prob of picking 1 o and 1 u.
16/35
Two letters picked without replacement from {q: 2, d: 9, p: 4, f: 1, s: 1}. What is prob of picking 2 q?
1/136
Two letters picked without replacement from oovv. What is prob of picking 2 o?
1/6
What is prob of picking 2 p, 1 e, and 1 u when four letters picked without replacement from {e: 4, u: 7, v: 4, m: 1, p: 4}?
56/1615
What is prob of picking 1 k and 2 q when three letters picked without replacement from ktktywgkkqqyyky?
1/91
Four letters picked without replacement from {q: 2, r: 1, w: 2, l: 3, j: 7, g: 5}. Give prob of picking 1 g, 2 r, and 1 j.
0
Three letters picked without replacement from seseregresesseee. What is prob of picking 1 e and 2 r?
1/70
What is prob of picking 2 i and 1 m when three letters picked without replacement from {z: 1, b: 2, m: 3, k: 1, d: 1, i: 4}?
9/110
Calculate prob of picking 2 p when two letters picked without replacement from {p: 7}.
1
Two letters picked without replacement from {u: 11, j: 5}. Give prob of picking 2 j.
1/12
Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, d: 1, z: 1, b: 2, f: 3}.
1/15
What is prob of picking 1 c, 1 m, and 1 d when three letters picked without replacement from {p: 2, m: 1, c: 4, d: 1}?
1/14
What is prob of picking 1 d, 2 t, and 1 i when four letters picked without replacement from {h: 8, t: 7, i: 1, d: 2}?
7/510
What is prob of picking 1 r, 1 i, and 1 q when three letters picked without replacement from qqqrqrrqqeji?
9/110
Four letters picked without replacement from {d: 4, v: 10}. What is prob of picking 2 d and 2 v?
270/1001
What is prob of picking 3 h when three letters picked without replacement from {h: 7, d: 6}?
35/286
What is prob of picking 1 s and 1 k when two letters picked without replacement from {g: 1, k: 5, a: 5, s: 4}?
4/21
What is prob of picking 2 n when two letters picked without replacement from {q: 2, r: 2, n: 3, m: 2}?
1/12
What is prob of picking 2 i and 1 z when three letters picked without replacement from {e: 8, i: 6, z: 3}?
9/136
Four letters picked without replacement from {o: 6}. Give prob of picking 4 o.
1
What is prob of picking 3 m and 1 b when four letters picked without replacement from mmbmbbmbbbmbbbbbbb?
13/306
What is prob of picking 3 a when three letters picked without replacement from {y: 1, m: 2, a: 3, x: 4}?
1/120
Three letters picked without replacement from fggllglgf. Give prob of picking 1 g and 2 f.
1/21
What is prob of picking 2 u when two letters picked without replacement from {u: 3, f: 9, z: 2, j: 3}?
3/136
Three letters picked without replacement from dwwwdmdmddwdwd. Give prob of picking 1 m and 2 d.
3/26
Two letters picked without replacement from {n: 3, x: 1, w: 6, f: 1, z: 4}. What is prob of picking 1 w and 1 n?
6/35
What is prob of picking 3 a and 1 e when four letters picked without replacement from {e: 4, a: 6, o: 7}?
4/119
What is prob of picking 1 r and 2 x when three letters picked without replacement from {r: 2, x: 5}?
4/7
Three letters picked without replacement from oazsupazazus. What is prob of picking 1 p and 2 s?
1/220
Calculate prob of picking 2 b and 2 v when four letters picked without replacement from {v: 2, b: 6}.
3/14
What is prob of picking 2 s and 1 a when three letters picked without replacement from {s: 2, a: 3}?
3/10
What is prob of picking 3 r and 1 z when four letters picked without replacement from {z: 10, r: 9}?
70/323
Three letters picked without replacement from {k: 1, p: 4, g: 1, o: 1, u: 1}. Give prob of picking 1 o and 2 p.
3/28
Two letters picked without replacement from rfrwrwffufurxfk. Give prob of picking 1 k and 1 u.
2/105
Four letters picked without replacement from iiisnisiiqyinnsiiiq. What is prob of picking 3 i and 1 n?
30/323
Two letters picked without replacement from {f: 1, z: 7, i: 1, q: 5}. What is prob of picking 1 | {
"pile_set_name": "DM Mathematics"
} |
r**4 + y*r and give f.
-4
Express 0 + 2*u**2 - 7 + 14*u + 3 - 8*u + 5 in the form z + k*u + h*u**2 and give z.
1
Express -3*s**2 - 2*s + 2*s**2 - 2 + 2*s as t*s**2 + i + v*s and give i.
-2
Rearrange (-a**2 - a + a)*(2 - 2 - 6) + a - 135*a**2 - 12883 + 12883 + (-a**2 + 1 - 1)*(2 - 4 + 1) + a**2 + 2 - 2 to the form w + t*a**2 + f*a and give t.
-127
Rearrange 9*h + 2*h**2 - 3*h**2 - 3*h + 1 - 43*h - 4*h to u + v*h + w*h**2 and give u.
1
Express (1 + 0 + 1 + (6 - 5 + 1)*(1 + 4 - 3) + 3 + 3 + 0)*(0 + 0 + 2)*(0*z - z + 0*z) in the form t + b*z and give b.
-24
Rearrange 29*t**3 + 41*t**3 + 2*t**2 + 37 - t**2 + 15*t**3 - 39 to k*t + j*t**3 + y*t**2 + h and give h.
-2
Rearrange 19*r**2 - 3*r + 2 + 2*r + 2003*r**4 - 2004*r**4 to z + t*r**3 + p*r + b*r**2 + i*r**4 and give i.
-1
Express -30*g + 65*g + 78*g in the form d + j*g and give j.
113
Rearrange (-9 - 13*m + 9)*(13 - 2 + 7) + (0 + 0 - 2)*(-m - 5*m + 10*m) + (-4 + 1 + 2)*(2 - 2 + 2*m) to the form l + o*m and give o.
-244
Rearrange -61073 + 61073 + 6*o**3 - 8*o - 2*o**2 to the form m + n*o**3 + z*o**2 + w*o and give w.
-8
Rearrange -1857*a**3 + 6 - 7*a**2 + 1852*a**3 - 23*a**2 - 5 to u*a**3 + b + r*a + m*a**2 and give m.
-30
Rearrange o**3 + o**3 - 11 - 101 + o - o**4 - 3*o - o**4 to the form b*o**3 + l + k*o**4 + i*o + z*o**2 and give l.
-112
Express -2*m**4 - 5627*m**3 - 3 + 5628*m**3 - 14*m + 5*m**4 in the form w*m + h*m**2 + t + b*m**3 + r*m**4 and give r.
3
Rearrange 512*b - 279*b + 1248*b to g*b + x and give x.
0
Express -3*k**2 - k**3 - 5152 - 3*k**3 + 2*k + 5152 as r*k + f*k**2 + y*k**3 + d and give r.
2
Express -2*x**3 - 18850*x**2 - 14*x + 2*x**4 + 18851*x**2 + 3*x in the form n*x**2 + w*x**3 + j + m*x**4 + d*x and give w.
-2
Rearrange -4*w**2 + w**4 + 2173 - 3*w + w**3 + 2*w - 2185 to the form s*w + d*w**4 + a + z*w**3 + c*w**2 and give a.
-12
Express -b + 21*b**4 + 6*b - 4*b - 51*b**4 - 2*b**3 + b**2 + 1 in the form h + d*b**2 + n*b**3 + j*b**4 + f*b and give h.
1
Express 2*f**2 + 15*f**3 - 39*f**3 + 0 + 10*f**4 + 12*f**3 + 9*f**3 - 4*f - 2 as y*f**2 + g*f**3 + j*f + p*f**4 + w and give p.
10
Express 4 - 241*x - 20 + 16 as f*x + c and give f.
-241
Rearrange 276*f**2 - 9*f - 274*f**2 + 166*f to a*f + t*f**2 + n and give t.
2
Express 12*t**2 - t**4 + 6 + 12*t**2 - 21*t**2 - 4 - t**3 - 2*t as b*t**3 + x + r*t + k*t**2 + y*t**4 and give b.
-1
Express -25*y**2 + 0*y**3 + 1 + y**4 + 26*y**2 - 6*y**3 as a*y**2 + q*y + l + b*y**3 + s*y**4 and give b.
-6
Rearrange 4*t**2 - 13 + 20 + 3*t - 1 to the form x + g*t**2 + c*t and give g.
4
Express 3*w**2 + w**2 - 3*w**2 + ((w + w - w)*(3 + 17 + 7) + (1 + 2 - 1)*(w - 4 + 4))*(9 - 2*w - 9) in the form j*w**2 + u*w + h and give j.
-57
Express -2*x**4 - 3*x**3 + 7927 - 7947 + 4*x**3 + x in the form d*x**2 + f*x**3 + z + k*x**4 + t*x and give z.
-20
Rearrange (-2*y**2 - 8*y**3 + 10*y**3 + 2 + 11*y**2)*(4*y + 4 - 4) to the form l*y**3 + i*y**4 + a*y + t + h*y**2 and give l.
36
Express (-3*p + p + 4*p)*(-p + 1 - 1) - 9*p**2 + 7*p**2 + 9*p**2 in the form d*p**2 + b*p + v and give d.
5
Rearrange 424*q**2 + 1 - 1 - 404*q**2 to i + x*q + p*q**2 and give p.
20
Express 22 + 5*o - o**2 - o + 3*o**2 - 14*o**4 + 13*o**4 - o**4 as c*o**4 + j*o**2 + w*o + y*o**3 + z and give c.
-2
Rearrange 281 - 362*m + 362*m - 2*m**2 to a*m**2 + v*m + r and give r.
281
Rearrange -53*k + 34*k - 36*k - 8 + 8 + 5*k + (-2 - k + 2)*(-1 + 2 + 1) - 5*k + 3*k + 3*k to the form f + r*k and give r.
-51
Rearrange (5*v - 3*v**2 - 5*v)*(2 - 3 + 3) + 3*v**2 - 3*v**2 - v**2 + 0*v + 0*v - 3*v**2 to the form x + w*v**2 + n*v and give w.
-10
Rearrange (-3*h**2 - h**2 + 11*h**2)*(26*h - 69*h + 28*h)*(0 - 1 - 1) to the form n*h**2 + q*h + i + m*h**3 and give m.
210
Express -47*v - 2 - 3 + 2 - 20*v as r + k*v and give k.
-67
Express (-j - 2*j + j)*(384*j + 2 - 596*j - 573*j) as c*j + s*j**2 + d and give c.
-4
Rearrange (3*r + 2*r**2 - 6 - 11 + 10)*(-31 - 56 + 24) to p*r**2 + a + l*r and give a.
441
Express -30*c**3 + 2*c - 38*c**3 - 19 + 17 as w + s*c + m*c**2 + d*c**3 and give s.
2
Rearrange (2*y - 2*y - y)*(4640 + 2*y - 8159 + 4687) to the form j*y**2 + g*y + m and give j.
-2
Rearrange 359*q**2 - 198*q**2 - 200*q**2 - q to d*q + c*q**2 + f and give c.
-39
Express 2*j + 19 + 18 + 5 as p + i*j and give i.
2
Express 6 - 4 + 2*b - 4*b**2 + 3*b**2 - b as c*b + a + w*b**2 and give a.
2
Rearrange -1289 + 2760 - 1244 - 1232 + 2*h to r + u*h and give r.
-1005
Rearrange 612*j**3 - 182*j**3 - 230*j**3 + 2*j + j to u*j + q*j**2 + f*j**3 + v and give u.
3
Express 45*j - 42*j + 7 - 2*j**2 + 7*j**3 - 8 in the form g*j**2 + v*j + q*j**3 + i and give v.
3
Rearrange -2*a - 724*a**2 + 730*a**2 - 144 + 2*a to s*a + g + d*a**2 and give g.
-144
Express (-1 - t + 1)*(-2 - 2*t + 2) + 2*t**2 + 1 - 1 - 548*t**2 - 593*t**2 - 468*t**2 + 592*t**2 as h*t + k + r*t**2 and give r.
-1013
Rearrange 6*s**2 + 224*s**2 + 59*s**2 to u*s + h*s**2 + d and give h.
289
Express 588*w - 590*w + 9*w**2 - w**3 - 7 + 3 in the form c*w**2 + f*w + t*w**3 + x and give x.
-4
Express (o + 3 - 3)*(-38 + 19 + 48)*(3 - 6 + 4) in the form m*o + a and give m.
29
Express 0*l + l**4 + 0*l**4 + 3*l + (21752 + 162*l - 21752)*(-4*l**3 + 4*l**3 + 2*l**3) as d*l**4 + q*l**2 + c*l + t*l**3 + o and give d.
325
Express (-d**2 + d**2 + 2*d**2)*(-1 + 1 - 2*d) + 85*d + 462*d - 9*d**2 - 538*d - 3*d**3 + 1 in the form m*d + s + x*d**2 + y*d**3 and give s.
1
Rearrange (-26 - 2*o**3 + 4 + o**3)*(-o - 4*o - 3*o) to x*o**2 + l*o**3 + c + q*o**4 + u*o and give q.
8
Express (-24 - 88 + 25)*(1 - 4 + 1)*(2*t**2 - 2*t**2 - t**2)*(3 - 3 + 2*t) in the form c + n*t + k*t**2 + w*t**3 and give w.
-348
Express 130 + 3*v + 111 - 5*v - 10 in the form g*v + o and give o.
231
Express (2*d - 4*d + 0*d)*(26 - 17 + 22 + (-2 + 0 + 4)*(4 + 0 - 3) - 4 + 2 + 1) as u*d + r and give r.
0
Rearrange -670*f**2 + f + 1050*f**2 - f to the form v + m*f**2 + h*f and give m.
380
Express ((0 + 1 + 0)*(-2 - 7 - 8) - 3 - 1 + 2 + (-2 - 3 + 4)*(-4 + 1 + 2) + 3 - 3 + 1)*(3*s + 2 - 3 - s) as n + l*s and give n.
17
Rearrange -5*o**2 - 7*o**2 + 15*o + 21*o**2 - 14*o**2 - 2 to the form f*o**2 + t + x*o and give f.
-5
Express 25 - 2 - 5*n + 6*n + 9 in the form r*n + u and give u.
32
Rearrange 973*m - 753*m + 0 - 1 + 1 to the form q*m + u and give q.
220
Express -2*v - 2 - 14*v**4 - v + 5*v**4 + 4*v in the form m*v**4 + i*v**2 + a + f*v**3 + q*v and give m.
-9
Rearrange 17 + 72*k**2 - 993*k**2 - 17 to the form z*k**2 + y + d*k and give z.
-921
Rearrange (24 - 2*d - 24)*(2*d + 2*d - d)*(-d + 1 - 6*d + 5*d) + d**3 + 16 - 16 to c + s*d + a*d**2 + h*d**3 and give s.
0
Rearrange 46*m**2 + 26*m - 3*m - 48*m**2 to the form i*m + h + d*m**2 and give i.
23
Rearrange -240*y + 428*y - 284*y - 382*y to the form h + v*y and give v.
-478
Express 256*m**2 - 11775*m**3 + 11774*m**3 + 2 - 2 as p*m**3 + l*m**2 + i*m + n and give p.
-1
Express (-37*z + 11*z - 3 - 8*z + 6*z)*(z**2 + 0*z**2 + 2*z**2) in the form t + h*z**3 + i*z + b*z**2 and give h.
-84
Express (-3*r + 0*r + 7*r)*(-41 + 41 - 3*r)*(0 + 1 - 4) in the form a + m*r + i*r**2 and give i.
36
Express 2*y**2 - 219*y**3 - 68*y**3 - 21*y**3 in the form u*y**3 + a*y**2 + w*y + k and give u.
-308
Rearrange (-n + 2*n - 5*n)*(-n - n**3 + n) + (43*n - 7*n + 22*n)*(-n**3 - 3 + 3) to the form a*n**4 + v*n**3 + p*n + y*n**2 + u and give a.
-54
Rearrange 4 - 4 + 1 - 1 - 52*b to the form n + w*b and give w.
-52
Rearrange 109*r**2 - 82*r**4 + 1 - 30*r**2 + 81*r**4 to the form a*r**3 + f + v*r**4 + s*r**2 + b*r and give f.
1
Rearrange -50225 + 50224 - 75*t - 3*t to q + k*t and give q.
-1
Express -34 - 93*v**2 - 95*v**2 + 11 + 286*v**2 - 95*v**2 as c*v**2 + j*v + r and give c.
3
Rearrange (-2145 + 2145 + 330*a)*(3*a**2 - 5*a**2 + 3*a**2) + 3*a**3 - 2*a**3 + a**3 + a**3 - a**3 - 3*a**3 to k*a**3 + m*a**2 + x + f*a and give k.
329
Express -22*w - w**2 + 2*w**3 - 27*w + 10*w - 2*w - 3*w**2 in the form m + n*w + k*w**2 + z*w**3 and give k.
-4
Express -81 - 3*d - 81 - 2*d**2 + 243 - 85 in the form c*d + y*d**2 + h and give y.
-2
Express 862*y**2 + 42*y**2 + 619*y**2 - 2*y**2 - 40*y**2 in the form b + q*y + g*y**2 and give g.
1481
Rearrange (5*p**3 - 5*p**3 + 4*p**3)*(-2*p - 1 + 1)*(-32 + 16 + 61) to the form g + i*p + k*p**4 + m*p**2 + h*p**3 and give g.
0
Express (0*f + 3*f - f)*(1 + 27 - 3)*(0*f**2 | {
"pile_set_name": "DM Mathematics"
} |
g k is positive.
k**(-106/175)
Simplify (m/m**1)**(-32)*m**(-2/11)*(m**(-3/2)*m)/m*(m*m/m**(1/2)*m**(6/5)*m)**(-21) assuming m is positive.
m**(-4366/55)
Simplify ((a*(a/(a*(a**(1/53)*a)/a))/a)**(5/14)/(a/(a*a/(a/(a**8/a*a))))**(-1/38))**(1/15) assuming a is positive.
a**(-1021/70490)
Simplify (r**(-2/21)/(r*(r*r**(-2/23))/r))**(-24/7)*r**4*r/r**8*(r/r**(-1)*r*r)/(r*r**(-8)/r) assuming r is positive.
r**(14039/1127)
Simplify ((c**(-2/13)*(c/(c**2*c))/c)/(c/(c/c**0)*c/((c*c**(-3)*c)/c)))/((c**0)**(2/39)*c/c**3*c*c**6) assuming c is positive.
c**(-145/13)
Simplify (s**14*(s**(-4/5)*s*s)/s)**(1/23)/(((s*s**(-4/3))/s*s)/(s/s**(-16)))**(-2/93) assuming s is positive.
s**(7849/32085)
Simplify (a**(-38)*a*(a*a**(-5)*a)/a)/(a**(-29)/(a/(a*a**(-14/9)/a)*a)) assuming a is positive.
a**(-76/9)
Simplify ((t**(-2/7)*t)/(t*t*t*t**(2/13)*t)*t**(-2/19)/(t/t**(1/2)))/((t**(-2)/t)**(17/4)*(t**(-1/3)/t)/(t/(t*t*t/(t**0*t)))) assuming t is positive.
t**(187531/20748)
Simplify ((l/l**4)/l)/(l**(2/9)*l)*(l/(l/l**(-1/6))*l)/(l/l**(-5))*((l**1)**(20/7))**(20/7) assuming l is positive.
l**(-1963/882)
Simplify (r**1)**(-12)*(r**(-2/3))**(-30)*(r/r**1)**24/(r**1)**(-1/16) assuming r is positive.
r**(129/16)
Simplify (((c**(-5)*c*c)/c**(-2/9))/(c**3*((c*c**(-2))/c)/c))/(((c**0/c*c)/(c*c**(3/4)*c))/(c/c**(1/4))**(2/19)) assuming c is positive.
c**(35/684)
Simplify ((v**(-2))**(-17))**(-37)*((v*v**(1/4))**(-7))**(-1) assuming v is positive.
v**(-4997/4)
Simplify (c**(-2/3)/c)**(-42)*(c*c**(-1/3)/c*c)/(c*c*c*c/c**4*c)*((c/(c*c**(-2/5)))**(-35))**(-49) assuming c is positive.
c**(2267/3)
Simplify (((w/w**(-18))/w)/(w*w**9))/(w/w**(-4/13)*w**(-38)) assuming w is positive.
w**(581/13)
Simplify (q**30)**(-3/4)/(q**(-1/6)*q*(q**36/q)/q) assuming q is positive.
q**(-172/3)
Simplify ((g*g*g*g**(2/7)/g)**(-9/5))**(2/61)/((g/(g**(2/5)/g))/g*g*(g/((g*g**1/g)/g))/g*g**3*g*g**0*g) assuming g is positive.
g**(-14379/2135)
Simplify ((z**(1/5)*z)**(-2/9))**(12/17)*(z**(-4)/z*z**(1/18))**(-24) assuming z is positive.
z**(30212/255)
Simplify (n/((n*(n/(n/(n*n/n**(-5)*n*n))*n)/n)/n)*n*n/n**3*n)/((n/(n*n/(n*n*n**(2/7)*n*n)))/(n/(n**2*n)))*((n**1)**(-13))**(18/7) assuming n is positive.
n**(-327/7)
Simplify ((((h**(-1)/h)/h)/h)/h**4)**(-31)/(((h/(h/(h/(h*(h/(h**(-2/23)/h))/h))*h))/h)/(h/(h**(-3/8)*h)*h))**(-2/15) assuming h is positive.
h**(341419/1380)
Simplify (t*t/(t*t/t**(-1)*t))**31/(t**(2/5)*t/(t/(t**(-4/7)*t)*t))*t**(-8)/(t/t**(-2/25))*(t**2)**(-7) assuming t is positive.
t**(-14859/175)
Simplify (w*w**(-1/2)/w*w**(3/2)*w)/((w**(-1/2)*w)/((w**(1/4)/w)/w*w*w))*w**2/((w/((w/(w*w**(-5)/w*w))/w)*w)/w)*w**(2/3)/(w**(-7)/w) assuming w is positive.
w**(185/12)
Simplify ((l**(1/4)*l)/(l/(l*l**(1/2)/l))*(((l*l*l**(2/3)*l)/l)/l)**(2/55))/((l/l**(3/5))/l*l**(-5))**(-3/11) assuming l is positive.
l**(-43/60)
Simplify (o**10/(o/((o*o**(-1/3)*o)/o))*(o**(-3))**(12/11))**7 assuming o is positive.
o**(1477/33)
Simplify ((v/v**1)/(v*v/((v*v/v**(-6/7)*v)/v)*v*v)*v**0/v**0)/(((v*v**(2/9))/v)/v*v/v**(1/3))**(-16) assuming v is positive.
v**(-184/63)
Simplify ((s*s**(-17)*s*s**(-10))/(s**(5/7)*s*s*s*s**(-2/47)))**(20/7) assuming s is positive.
s**(-188660/2303)
Simplify (q**(1/3))**(20/3)*((q*q**(1/6)*q)/q)/(q*q*q**(1/5)*q)*(q**(-6)/(q**5/q*q))/((q**(-2/3)/q*q)/q**(3/7)) assuming q is positive.
q**(-6121/630)
Simplify ((k**(-1)/(k*k/(k*k**(-1/3))*k)*(k*k*k**0)**(-7))**(-4/11))**(1/46) assuming k is positive.
k**(104/759)
Simplify ((m/m**(-4))/m**(-2/27))**3/(((m/(m**(2/17)/m))/((m**(-3/2)/m)/m))/((m**(-1)*m)/(m*(m*m/m**4)/m*m))) assuming m is positive.
m**(3317/306)
Simplify (((f**(-1)*f)**(1/4)/((f*f**6)/f**(-3/2)))**(-38))**(10/9) assuming f is positive.
f**(3230/9)
Simplify ((c*((((c/c**2*c)/c)/c)/c)/c*c**(-1/9)*c)/((c**11/c)/c)**15)**28 assuming c is positive.
c**(-34552/9)
Simplify ((b**(-1)*b)**39)**(-30)/((b**1)**(1/3)*(b/(((b*b**(2/5)*b)/b)/b))/b**5) assuming b is positive.
b**(61/15)
Simplify ((n/n**(19/4)*n)**(-50)*n**19*n*n**38)**13 assuming n is positive.
n**(5083/2)
Simplify ((z*(z/z**(-10)*z)/z*z)/z**(-8))**(-17)/((z/z**(-3/4))/(z/(z**(-5)*z))*(z**2)**(3/31)) assuming z is positive.
z**(-43889/124)
Simplify ((n**(-5)/n*n)**(3/13)*(n*n**(-1/4)*n)**(-1/27))**42 assuming n is positive.
n**(-11977/234)
Simplify (((c/(c*c/(c**12/c)*c*c))/(c/(c**(-1/25)/c)))**(-2/41))**(-2/5) assuming c is positive.
c**(596/5125)
Simplify (h**(-16)/h**(-5/6)*h**0/((h**(2/9)*h)/h))**(6/7) assuming h is positive.
h**(-277/21)
Simplify (s**1)**(14/3)/((s*s*s**(6/11)*s*s)/s**(2/11))*(s/s**(-2)*s)**(-7/5)*(s/(s/s**(-2/3)))**14 assuming s is positive.
s**(-2414/165)
Simplify ((j**0*j**(-1/2)*(j*j**0)**(-11/6))**(-1/39))**(-4/7) assuming j is positive.
j**(-4/117)
Simplify ((r**(-19/6)/(r/(r*r*r**16)))/(r**(-32)*r*(r*r**11*r)/r*r))**(-21) assuming r is positive.
r**(-1337/2)
Simplify (((((v/(v/v**(-13))*v)/v)/v)/v**2)/(v*v/(v/(v/((v*v**(2/49))/v)))*v*v**6))**(2/3) assuming v is positive.
v**(-2446/147)
Simplify (z*z**0)**(1/52)/(z*z**(-1))**(-5/18)*(z**3/(z**6/z))/(z*z*z**(1/2)*z)**(-3/37) assuming z is positive.
z**(-3265/1924)
Simplify ((z*z*z**2)**40)**(2/9)/((z/(z*z**4))**(4/17))**(-1/2) assuming z is positive.
z**(5368/153)
Simplify ((x**(-3/2)*x)**4)**(2/55)*(x**(-9)*x**6/x)**11 assuming x is positive.
x**(-2424/55)
Simplify (i*i**6*(i**9*i)/i*i*i)**(-2/35)/(i*i*i/(i/(i/i**3))*i*i**1*i*(i*i**(-2/5)*i)**(-4/9)) assuming i is positive.
i**(-209/63)
Simplify ((r/(r/r**0)*r)**3/(r**(2/3)*(r*r**(5/4))/r))/(r**(-2/13)*r*r/(r*r**(1/4)*r*r*r)*((r**1/r)/r)**(-1/2)) assuming r is positive.
r**(233/78)
Simplify ((m**6*m**(-2/9)*m)/(m**(-2)/m**(2/11)))/((m**4/m)**(1/5))**(-34) assuming m is positive.
m**(14533/495)
Simplify ((o**(2/23)/o**(-10))/(o/(o**(1/14)/o)*(o*(o*o/(o/(o/(o/o**(3/22)))*o*o))/o)/o))**(-1) assuming o is positive.
o**(-17749/1771)
Simplify (((j/(j*(j/j**(-12))/j))/((j*j**(1/22))/j*j))/(j**(-3/13)*j*j*j**(-7)/j))**(13/5) assuming j is positive.
j**(-1949/110)
Simplify ((s*s**(1/3)*s*s*(s/(s/(s**(-3/10)*s)*s*s))/s)/(s/(s*s*s*s**(-1/13))*s/s**(-8)))/((s/s**(-1/3)*s)/(s*s**(1/12)))**29 assuming s is positive.
s**(-32989/780)
Simplify (v/(v/(v*v**(-1/2)))*v**2*v*(v*v/v**(1/2))**1)/((v**(-1/2)/v)/v*v**11)**33 assuming v is positive.
v**(-551/2)
Simplify ((n/(n/n**10))/((n*n**(-10)*n)/n*n))/(n**(-22)*n**(-37)) assuming n is positive.
n**77
Simplify (a**(-2/3))**(2/15)*a**(-2/5)*a**(2/5)*((a/(a/a**4))/(a/((a/(((a/a**(-2/13))/a)/a))/a)))/((a/(a*a*a/a**6))/a**5) assuming a is positive.
a**(2783/585)
Simplify (((o/(o/(o**(2/5)/o)*o*o))/o**(2/5)*(o*o*o**(-1/3))**(-3/22))**(-1/5))**(25/6) assuming o is positive.
o**(355/132)
Simplify z/z**11*z**(16/9)*z**(-2/49)/z**(2/51) assuming z is positive.
z**(-62242/7497)
Simplify (r**(-2)*r*r**(-2)/r*(r*r**(1/2)/r)/(r*r/r**5))/((r*r*r*r**(3/2)/r*r*r**(-2))/((r/((r*r*r**(2/3)*r*r)/r)*r)/(r**5/r))) assuming r is positive.
r**(-26/3)
Simplify ((((f**(2/9)*f)/f)/f)/f)/((f**8/f)/f)*(f*f*(f/(f**(-1/4)*f))/f)**(-1/10)*(f/(f*f**(-2)*f)*f)**(19/6)/((f**0/f)/(f/f**(-1))) assuming f is positive.
f**(103/72)
Simplify ((x**(-1/4))**1/(x**(-18)/x)**21)**50 assuming x is positive.
x**(39875/2)
Simplify ((q/q**(1/2))**43*(q/q**0)**(-42))/((q**(1/4))**(-6))**3 assuming q is positive.
q**(-16)
Simplify ((h**(-3/5)/h)**8/(h**(-2/13))**(1/12))**(5/3) assuming h is positive.
h**(-4987/234)
Simplify ((q**(-1/2))**(-6/23))**(2/5)*q**(-5/4)/(q**0/q*q)*q**(-3/5)/q*q*q/q**(-2/9) assuming q is positive.
q**(-2383/4140)
Simplify ((o/o**(-39)*o)/((o**(-20)/o)/o*o)*o/((o**(2/105)*o)/o*o)*o*o*o*o/(o**(-17/2)/o))**(-5/6) assuming o is positive.
o**(-15851/252)
Simplify ((j*j*(j*j**(-1/4))/j*j*j*j*j*(j/j**(-1))/j)/(j**1)**(19/4))/((j/(j/((j*j**(3/5))/j*j)))/(j/j**(-2/19)))**(-13) assuming j is positive.
j**(801/95)
Simplify ((n/(n*((n**(-1/5)*n)/n)/n))/(n/n**(-1/4)))/(n**1)**(3/11) assuming n is positive.
n**(-71/220)
Simplify (((s**(-33)*s)/s)/s)/s*s**27/s*(s*s*s**(-1/8))/(s/s**32) assuming s is positive.
s**(191/8)
Simplify ((z**(-31)*z*z**(-20/7))/(z/z**(-1/16)*z*(z**(-25)/z)/z))**(-23) assuming z is positive.
z**(20401/112)
Simplify (((g**(-1/5)*g**(2/19))/(g**1)**(-1/19))**43)**46 assuming g is positive.
g**(-7912/95)
Simplify (g**(-3/4)/g**40)/(g*g**0)**(2/109) assuming g is positive.
g**(-17775/436)
Si | {
"pile_set_name": "DM Mathematics"
} |
/7*l + 4/7*l**5 + 48 - 132/7*l**3 - 4/7*l**4 = 0. Calculate l.
-3, -2, 1, 7
Let l(f) be the first derivative of -3*f**2 + 11/3*f**3 + 94 + 1/5*f**5 - 3/2*f**4 + 0*f. Find j, given that l(j) = 0.
0, 1, 2, 3
Let n(l) = l**2 - 3*l - 25. Let y be n(7). Find s such that 6*s - y*s**2 + 41 + 171*s - 68 - 23 - 124 = 0.
1, 58
Let h(o) = 6*o + 8. Let s be h(-4). Let a = -1 - s. Suppose -2*u**4 + 5 - a*u - u + 1 + 12*u**2 = 0. Calculate u.
-3, 1
Let x(s) be the third derivative of -s**5/30 + s**4 + 13*s**3/3 + 7*s**2. Let z be x(13). Factor z*c**4 + 12*c**3 - 6*c**4 + 6*c - 15*c**2 + 3*c**4.
-3*c*(c - 2)*(c - 1)**2
Let r be -20 + -15 + 18 - (1 + (-1500)/78). Factor 2/13*c**2 - 66/13 - r*c.
2*(c - 11)*(c + 3)/13
Let f(a) be the third derivative of -a**6/60 - 2107*a**5/10 - 4439449*a**4/4 - 9353919043*a**3/3 + 1141*a**2. Factor f(t).
-2*(t + 2107)**3
Let g(i) = -95*i**3 - 5725*i**2 - 240800*i - 672060. Let k(y) = -14*y**3 - 818*y**2 - 34400*y - 96009. Let n(d) = 3*g(d) - 20*k(d). Suppose n(x) = 0. What is x?
-80, -3
Factor 1/4*u**2 + 42 - 17/2*u.
(u - 28)*(u - 6)/4
Suppose 10*a + 330 = -1420. Let c = 179 + a. Factor -6*q - 2/3*q**3 + 0 - c*q**2.
-2*q*(q + 3)**2/3
Find o such that -2/5*o**3 + 0 + 128/5*o - 126/5*o**2 = 0.
-64, 0, 1
Suppose 0 = i + 5*p - 269, 4*i + i - 5*p - 1195 = 0. Let f be (12/(-14))/2*i/(-183). Let 0 + 2/7*y**2 - f*y = 0. Calculate y.
0, 2
Let x(t) be the second derivative of t**4/84 - 3*t**3/14 - 1191*t. Factor x(a).
a*(a - 9)/7
Factor 2/11*d**3 + 2*d**2 - 400/11 - 20/11*d.
2*(d - 4)*(d + 5)*(d + 10)/11
Let g(d) be the third derivative of -2*d**7/105 - 14*d**6/3 + d**5/15 + 70*d**4/3 - 1074*d**2. Factor g(p).
-4*p*(p - 1)*(p + 1)*(p + 140)
Let 6037/2*l**2 - 2687/2*l**3 + 19/2*l**4 + 7/2*l**5 + 374 - 2062*l = 0. Calculate l.
-22, 2/7, 1, 17
Factor 89 - 156*c**2 - 87 + 202 - 2*c**3 + 122 + 326*c + 154.
-2*(c - 3)*(c + 1)*(c + 80)
Let a be (-23120)/1232 + 19 + (-14 + 10)/44. Factor 12/7*m**2 - a*m**4 - 4/7*m**3 + 0*m + 0.
-m**2*(m - 2)*(m + 6)/7
Suppose 2196 - 1774 = 211*c. Solve -1/2*x - 1 + 1/2*x**c = 0.
-1, 2
Determine z so that -164/9*z - 18 - 2/9*z**2 = 0.
-81, -1
Factor -31301 - 139*r**2 - 193*r**2 + 7*r**4 + 31301 - 1160*r**3.
r**2*(r - 166)*(7*r + 2)
Let f(p) be the second derivative of 0 + 9*p**2 + 39/5*p**5 - 11/2*p**3 - 16*p - 7*p**4. Factor f(b).
3*(2*b - 1)**2*(13*b + 6)
Let f be 4*(6 - 5*(7 - 6)). What is v in 5 + f*v**2 + 7*v**2 - 4*v - 15*v**2 + 3 = 0?
-2, 1
Let c(v) be the second derivative of v**4/48 + 766*v**3/3 + 1173512*v**2 + 2750*v + 1. Factor c(a).
(a + 3064)**2/4
Let q = -1339 - -1341. Let r(n) be the first derivative of -18*n**6 + 0*n + 256/3*n**3 + 0*n**5 + 32*n**q + 72*n**4 - 13. Let r(a) = 0. Calculate a.
-2/3, 0, 2
Let h(k) = 32*k - 441. Let w be h(14). Factor -8*p**2 + 16*p + 22*p**3 - p**5 - w*p**4 + 16 - 74*p**3 + 36*p**3.
-(p - 1)*(p + 2)**4
Let p(f) be the second derivative of 243*f**7/56 + 27*f**6/8 + 9*f**5/8 + 5*f**4/24 - 3*f**3 - 6*f - 10. Let d(x) be the second derivative of p(x). Factor d(v).
5*(9*v + 1)**3
Suppose 2*a - 41 = -21. Suppose -3*x - 140 = -a*x. Factor -y + 8*y**3 - x*y**3 + 8*y**3 + 5*y.
-4*y*(y - 1)*(y + 1)
Factor 5*b - 169*b**2 + 2*b - 6*b + 169 - 48*b**3 + 97*b**3 - 50*b**3.
-(b - 1)*(b + 1)*(b + 169)
Let f(l) = 112*l**3 - 792*l**2 + 564*l - 148. Let i(p) = -p**3 + p**2 + p + 3. Let j(g) = f(g) + 12*i(g). Let j(t) = 0. What is t?
2/5, 7
Let -2*s**3 - 18/11*s**4 - 4/11*s**2 + 0 + 0*s = 0. What is s?
-1, -2/9, 0
Let q(w) be the first derivative of 2/15*w**5 + 11/9*w**3 + 14*w + 2/3*w**2 + 12 + 13/18*w**4. Let i(a) be the first derivative of q(a). Factor i(s).
2*(s + 1)*(s + 2)*(4*s + 1)/3
Let p = -35/281 - -1545/1124. Let a(v) be the second derivative of 0 - 4*v**3 + 2*v - p*v**4 + 6*v**2. Factor a(k).
-3*(k + 2)*(5*k - 2)
Let u(f) be the third derivative of -f**6/30 - 2*f**5/3 + 53*f**4/6 - 28*f**3 - 2585*f**2. Factor u(l).
-4*(l - 3)*(l - 1)*(l + 14)
Factor -1497/2*n**3 + 248751*n**2 + 3/4*n**4 - 110778111/4 - 54890055/2*n.
3*(n - 333)**3*(n + 1)/4
Let b = -29279/18 + 14644/9. Factor 1/6*y**4 + 0 + b*y**2 - 1/2*y**3 - 1/6*y.
y*(y - 1)**3/6
Let t(n) be the third derivative of n**6/420 - 37*n**5/14 + 6394*n**4/7 + 77284*n**3/21 - 3424*n**2. Solve t(s) = 0 for s.
-1, 278
Let y(r) be the first derivative of -r**4/2 + 80*r**3/3 + 271*r**2 + 460*r + 12115. Factor y(g).
-2*(g - 46)*(g + 1)*(g + 5)
Let y(o) be the third derivative of -1/360*o**6 - 2/9*o**5 - 7/3*o**3 - 48*o**2 + 3*o + 83/72*o**4 + 0. Let y(l) = 0. What is l?
-42, 1
Let p(a) = a**2 - 12*a + 14. Let h be p(11). Suppose -6*n**h + 3*n**3 - 175 + 2*n**3 + 177 + 3*n = 0. What is n?
-1, 2
Let z(h) be the first derivative of 3*h**5/40 + 9*h**4/8 + 9*h**3/4 - 57*h**2/4 + 135*h/8 + 1737. Determine t, given that z(t) = 0.
-9, -5, 1
Let q be 3 - 4 - 6/(-2). Suppose 0 = q*b - v - 5, -b = 4*v + 8 - 24. Suppose -2 - b*n**3 - 278*n**2 - 3*n + 290*n**2 - 3*n**3 = 0. What is n?
-2/7, 1
Let d = -966799 + 966802. Factor 1/4*k**d + 31/2*k**2 - 31/2 - 1/4*k.
(k - 1)*(k + 1)*(k + 62)/4
Let j = 28 - 26. Factor -5*i + 17*i + 12*i**j - 14*i**2 - 64 + 24*i.
-2*(i - 16)*(i - 2)
Let x(h) be the second derivative of h**4/36 + 22*h**3/3 + 129*h**2/2 + 7*h - 33. Find z, given that x(z) = 0.
-129, -3
Let v(f) = -8*f**4 - 30*f**3 + 176*f**2 - 168*f + 7. Let a(c) = 7*c**4 + 29*c**3 - 170*c**2 + 168*c - 6. Let n(u) = -7*a(u) - 6*v(u). Factor n(o).
-o*(o - 3)*(o - 2)*(o + 28)
Let r be 22/10 + 1/(-5). Let 27*i**2 + 20*i - 14 + 2 - 31*i**r - 4 = 0. Calculate i.
1, 4
Let q(n) be the second derivative of -3*n**5/20 + 5*n**4/2 + 400*n**3 - 18000*n**2 - 261*n + 1. Factor q(o).
-3*(o - 20)**2*(o + 30)
Suppose r + 6 = j, 0 = 3*r - r + 8. Let -6*p**2 + 350*p**3 + 0*p**j - 347*p**3 = 0. What is p?
0, 2
What is a in -152/5*a**2 + 32/5*a**4 - 26/5*a**3 + 0 - 93/5*a - 1/5*a**5 = 0?
-1, 0, 3, 31
Let u = -797 - -817. Suppose -4*n + 4*f = -u, 4*n - 11 = -f - 1. What is r in -2/3*r**n - 2/9*r - 2/3*r**2 - 2/9*r**4 + 0 = 0?
-1, 0
Let r(c) be the second derivative of 0*c**3 + 0 + 12*c - 1/40*c**4 + 17/2*c**2 + 1/100*c**5. Let l(f) be the first derivative of r(f). Factor l(h).
3*h*(h - 1)/5
Let u(b) = 84*b + 1. Let k be u(-1). Let n = -83 - k. Suppose 1/2*l**4 + n - l**3 + 1/2*l**2 + 0*l = 0. Calculate l.
0, 1
Let u(j) be the first derivative of 1/4*j**6 + 85/6*j**3 + 65/8*j**4 + 6*j + 13*j**2 - 41 + 23/10*j**5. Find t such that u(t) = 0.
-3, -2, -1, -2/3
Let z(f) = -4*f**3 + 483*f**2 - 19200*f + 256003. Let v(c) = -10*c**2 - 20*c**2 + 1 + 31*c**2. Let r(g) = 3*v(g) - z(g). Factor r(h).
4*(h - 40)**3
Suppose -87*i = 19463 + 17773. Let f = i - -2579/6. Suppose 0*r**2 + 0 + 0*r - f*r**4 - r**3 - 1/2*r**5 = 0. Calculate r.
-3, -2/3, 0
Find o, given that 20*o**5 + 29*o**4 - 210*o**3 - 374*o**4 - 140*o**3 + 90*o**2 + 75*o**3 = 0.
-1, 0, 1/4, 18
Suppose -4776*u**5 - 9000 - 14700*u - 3918*u**2 + 4771*u**5 - 180*u**4 - 2085*u**3 - 4672*u**2 = 0. What is u?
-15, -2
Let u(c) = -11*c**2 + 904*c + 921. Let t(h) = -h**2 - h + 1. Let o(y) = -6*t(y) + u(y). Suppose o(x) = 0. What is x?
-1, 183
Suppose -13*x = -148 + 41 - 309. Let k(v) = -v. Let r be k(-2). Let -x*i - 42*i**3 - 20*i**r + 0*i**2 - 39*i**3 + 77*i**3 - 16 = 0. What is i?
-2, -1
Let v = -863204/7 + 123316. Solve -16*l - 94/7*l**2 + 104/7*l**3 + 62/7*l**4 + v*l**5 + 32/7 = 0 for l.
-4, -1, 1/4, 1
Let f = 306 + -282. Suppose -1 - 22*g**3 + f*g**3 + 0*g + 1 + 10*g**2 + 8*g = 0. What is g?
-4, -1, 0
Let a = -11 + 12. Let w = a + 4. Determine y, given that 3 + 15*y**3 + 2 + w*y - 6*y**2 - y**2 - 18*y**2 = 0.
-1/3, 1
Let b(g) be the second derivative of 10/27*g**3 + 16/9*g**2 - 5 + 2*g + 1/54*g**4. Factor b(o).
2*(o + 2)*(o + 8)/9
Let z(m) be the second derivative of 5*m**4/12 - 9500*m**3/3 + 9025000*m**2 - 1156*m. Solve z(h) = 0.
1900
Let b = -415 - -417. Determine q, given that -108 + 56*q**2 - 200*q**b - 139*q**4 + 216*q + 135*q**4 + 40*q**3 = 0.
1, 3
Let p(d) be the third derivative of d**8/4032 - d**7/252 - d**6/12 + 33*d**5/20 + 23*d**2. Let k(h) be the third derivative of p(h). Factor k(w).
5*(w - 6)*(w + 2)
Factor -320226/5*m + 22896/5*m**2 - 446631 - 462/5*m**3 + 3/5*m**4.
3*(m - 53)**3*(m + 5)/5
Let h(g) be the second derivative of -5*g**7/84 - 9*g**6/20 - 27*g**5/40 + 47*g**4/24 + 4*g**3 - 9*g**2 - 9652*g. Find v, given th | {
"pile_set_name": "DM Mathematics"
} |
-5*k - 39. Let j be i(-15). Let g = 28 + -47. Let n = g + 31. Calculate the greatest common divisor of j and n.
12
Suppose -5*j - 15 = -0*j. Let l be j*(-10)/2*1. Calculate the greatest common divisor of l and 9.
3
Let a(n) = -n**3 - 4*n**2 - 7*n + 2. Let s be a(-3). Let u be (12/s)/(276/(-56) - -5). Calculate the highest common divisor of 8 and u.
4
Let g = 2728 - 1753. What is the highest common factor of g and 13?
13
Suppose -27 + 30 = r. Calculate the highest common factor of r and 177.
3
Let x(r) = 8*r**2 - 7*r - 12. Let g be x(-3). Calculate the highest common factor of 54 and g.
27
Let v(d) = 5*d**2 + 93*d - 28. Let l be v(-19). Suppose 3*k + k - 160 = -2*q, -2*k = -2*q - 80. Calculate the greatest common divisor of k and l.
10
Suppose 83*j - 1989 = 66*j. Calculate the highest common divisor of 104 and j.
13
Let c = -15 + 22. Suppose -c*f + 176 = -5*f. Let a(r) = 3*r**2 + r + 1. Let m be a(-2). Calculate the highest common factor of m and f.
11
Let k = -50 - -55. Suppose 35 = 3*l + k. Let x = 10 + -5. Calculate the greatest common factor of x and l.
5
Let q = 125 + -73. What is the greatest common factor of q and 572?
52
Let b(g) = 6*g**2 + 12*g + 12. Let l be b(7). What is the highest common factor of 30 and l?
30
Suppose -q + 4*q + 2*b - 38 = 0, 0 = -4*q - b + 44. Let l be 4/22 - (1176/22)/(-14). Calculate the highest common divisor of q and l.
2
Let k(p) = -2*p + p - 1 + 3*p**2 - p + 0*p**2. Let z be k(2). Suppose 0 = z*a - 5*a - 2. Calculate the greatest common divisor of a and 10.
1
Let c(g) = g**3 + 11*g**2 - 16*g - 8. Let q be c(-11). Suppose -42 = 124*v - 126*v. Calculate the greatest common factor of q and v.
21
Let c = -77 + 183. Let i = c - 72. What is the greatest common divisor of 306 and i?
34
Let h = -35 + 43. Let w be (40/(-15))/h - 13/(-3). Suppose 2*d + 0*d = 24. What is the highest common factor of w and d?
4
Let f be 3*(1 + 0) - (26 - 27). Suppose -i + 195 = 4*v, i + 78 = f*v - 111. Calculate the highest common factor of v and 6.
6
Let y be (-2)/5 + (-76)/10. Let r(j) = -j**2 - 7*j - 9. Let v be r(y). Let p = 27 + v. What is the greatest common factor of 20 and p?
10
Suppose 3*h = 5*y - 154, -10*h + 5*h = y - 14. What is the highest common factor of 319 and y?
29
Suppose 4*b = u - 361, -1167 - 345 = -4*u - b. What is the highest common divisor of u and 58?
29
Suppose u + 8 = -3*u. Let i be (u/(-4))/(1/2). Suppose -i = -s + 6. Calculate the highest common factor of s and 63.
7
Suppose 4*w - w = 60. Suppose 2*p = -58 - w. Let v = p + 60. What is the highest common divisor of v and 3?
3
Let k(l) be the first derivative of 2*l**3/3 + 5*l**2 - 4*l - 14. Let o be k(-8). Calculate the greatest common factor of 4 and o.
4
Let v = -206 + 530. Calculate the greatest common divisor of 36 and v.
36
Suppose 148 - 52 = s. Calculate the highest common factor of 32 and s.
32
Suppose 0 = 2*q - 0*q + 4. Let b be 3*q/4*-10. Calculate the highest common factor of b and 30.
15
Suppose -62*l = -64*l + 68. What is the highest common factor of l and 136?
34
Suppose -4*s = -3*s + 9. Let z = -7 - s. Suppose 5*y - 30 = -u, z*y + 2*y = 3*u - 52. Calculate the highest common factor of u and 4.
4
Let p(q) = 3*q**2 - 6*q + 55. Let w be p(-13). What is the highest common divisor of 30 and w?
10
Let k = -444 + 563. Calculate the highest common divisor of 51 and k.
17
Let l = 511 - -308. What is the highest common divisor of l and 63?
63
Suppose 55*b = 54*b + 446. Calculate the greatest common divisor of 4 and b.
2
Let h be ((-104)/(-22))/(50/275). Let o be 2/8 - (-1)/(-4). Suppose -n + 3*n - 260 = o. What is the highest common divisor of h and n?
26
Let i = 24 - 24. Let v = 2 - i. Suppose -v - 2 = -y. What is the highest common divisor of y and 2?
2
Suppose -4*x = -d - 33, 4*d - x = -5*x - 52. Let k = d - -19. Let r be (4 - -1)/(k/6). Calculate the highest common divisor of 6 and r.
3
Let o be (3/(-6))/(2/24). Let r(y) = -y - 3. Let n be r(o). Suppose -5*w - 4*h + 167 = -953, -5*h - 672 = -n*w. What is the greatest common divisor of 28 and w?
28
Suppose -4*d - 4873 = -18313. What is the highest common factor of d and 60?
60
Let i be 1/(-2) - 37/(-2). Let g = i - -6. Suppose 4*m - 12 = g. What is the greatest common divisor of m and 3?
3
Suppose r - 9 = -4*x - 0*r, 2*x + r - 5 = 0. Let t = -9 + 8. Let l be ((-10)/(-4))/(t/(-2)). What is the greatest common divisor of l and x?
1
Let m = 0 + 19. Let v(s) = s - 5. Let a be v(0). Let t be (-4)/(1 + a)*209. What is the highest common divisor of t and m?
19
Let b(m) = -m + 5. Let n be b(6). Let u be n*(0 + 13)*-1. Let j(y) = y**2 - 11*y + 13. Let k be j(0). Calculate the greatest common divisor of u and k.
13
Let k = 421 + -297. Calculate the greatest common divisor of 93 and k.
31
Let q be -3 + (3 - (-16 - 1)). Suppose -3*x + 32 = 5*i - q, -i + 5 = 0. Let j = x - -104. What is the greatest common divisor of 16 and j?
16
Let s be (1/(-2))/((-2)/8)*1. Let h be (s + -7 - -4)/(2/(-20)). Calculate the greatest common factor of 10 and h.
10
Let v = -211 + 255. Let w be ((-8)/(-10))/(1/5). Calculate the greatest common factor of w and v.
4
Suppose -117*v = -116*v - 195. Calculate the highest common factor of v and 13.
13
Let d = -1048 + 1113. Calculate the highest common factor of 117 and d.
13
Let m(p) = -p + 130. Let f be m(20). Calculate the greatest common divisor of 1265 and f.
55
Let a(b) = -2*b**2 - 2*b - 4. Let c be a(3). Let m = -18 - c. Calculate the highest common factor of 25 and m.
5
Suppose -k - 2 = -12. Let v(h) = -7*h + 4. Let u be v(-3). Calculate the highest common divisor of u and k.
5
Let o be 10320/1204*(2 - 100/(-6)). Calculate the greatest common divisor of o and 704.
32
Let t be 3 - -3*2/6. Let b be 6/(t/((-440)/(-15))). What is the greatest common factor of 110 and b?
22
Suppose -3*k + 5*k = 2*q - 74, -5*k = 4*q - 139. Suppose 5*v = 5*n + 920, -7*n - 188 = -v - 5*n. Calculate the highest common factor of q and v.
36
Let r = 5 + 0. Let j = 72 + -67. What is the greatest common factor of j and r?
5
Let a be 72 + (-2)/(-4)*0. Let t be -4 + 7 + -3*9. Let m = t + 42. What is the greatest common divisor of a and m?
18
Let c be ((-145)/87)/((-2)/144). Calculate the highest common factor of c and 1320.
120
Let y(b) = -116*b**3. Let l be y(-1). Suppose l = 4*p + 4*i, p - 2*i = 2*i + 49. What is the greatest common factor of p and 22?
11
Let q(a) = -382*a - 222. Let l be q(-1). Suppose -2*k = 3*w - 90, -3*w + w + 67 = -k. What is the highest common divisor of w and l?
32
Let k = -65 + -55. Let q be 34/((-8)/10 - -1). Let w = k + q. What is the highest common divisor of w and 25?
25
Let o = -253 + 254. What is the greatest common factor of o and 11?
1
Let j = -2 - -10. Suppose 5*t + 9 = 5*u - 6, -3*t = 5*u + 17. Let w = t + j. Calculate the highest common factor of w and 32.
4
Suppose 574 = -4*m + 3006. What is the greatest common divisor of m and 8?
8
Let j be (26/(-4))/((-12)/24). What is the greatest common factor of 416 and j?
13
Let v = 21 - 17. Let d be (v - 10)*2*-10. Suppose 6*i - 4*i - d = 0. Calculate the highest common factor of i and 15.
15
Let f(z) = 11*z + 11. Let h be f(9). Let w be (-9)/(-2 - 1) + 4. Suppose 5*p = -20, -2*a + 2*p = -w*a + 47. What is the highest common factor of a and h?
11
Let y(q) = 19*q**3 - 2*q**2. Let c be y(2). Let v = -60 + c. Suppose f - v = -3*f. Calculate the highest common divisor of 14 and f.
7
Let l(b) = -654*b - 214. Let k be l(-3). Calculate the highest common divisor of 92 and k.
92
Let i be 6 + 2*(2 - 3). Suppose -43 = -3*n + d + d, 4*n - 56 = 4*d. Suppose -5*o = n - 95. Calculate the greatest common divisor of i and o.
4
Let i(v) = -126 - 2*v + 99 - 3*v + 68. Let w be i(0). What is the greatest common factor of w and 41?
41
Suppose 0 = -110*s + 102*s + 1664. Calculate the greatest common divisor of 364 and s.
52
Suppose 0 = -2*t + 2 + 4. Suppose -6*d + 40 = -d - 5*w, 0 = t*w + 12. Calculate the highest common factor of 4 and d.
4
Let i be 16/136 + (-270)/(-17). What is the greatest common divisor of i and 108?
4
Let l be 1/(-4) - 131/4. Let b = -3088 + 3123. Let a = l + b. Calculate the greatest common factor of a and 8.
2
Let w = -1396 - -1452. Calculate the highest common factor of 154 and w.
14
Let r be 3*((-175)/(-30) - (-3)/2). Let c be ( | {
"pile_set_name": "DM Mathematics"
} |
(n(g))?
-240*g**4 - 2*g**2
Let s(f) = 84*f. Let l(w) = 8*w. Give s(l(d)).
672*d
Let y(a) = -2*a**2. Let q(z) be the third derivative of -z**2 + 0*z + 0 + 0*z**3 + 1/6*z**4. What is q(y(m))?
-8*m**2
Let z(i) = 18*i**2. Let n(j) be the second derivative of j**3/6 - 2*j. Give z(n(o)).
18*o**2
Let w(g) = 8*g - 11*g + g. Let t(k) = -12*k. Give w(t(y)).
24*y
Let r(l) = 4*l. Let f(k) be the first derivative of -15*k**2/2 + 55. Calculate r(f(q)).
-60*q
Let y(n) = 5*n**2. Let c(h) = -4*h**2 - 45*h. Determine c(y(a)).
-100*a**4 - 225*a**2
Let l(j) = -20*j**2. Let i(u) = 60*u**2. Let p(z) = -3*i(z) - 8*l(z). Let n(s) = 4*s**2. Let b(w) = -14*n(w) - 3*p(w). Let h(y) = -2*y. Calculate h(b(o)).
-8*o**2
Let a(j) = 6*j + 21. Let b(k) = k + 4. Let q(i) = -4*a(i) + 21*b(i). Let x(y) be the first derivative of y**2/2 - 2. Calculate q(x(t)).
-3*t
Let s(k) = 4*k + 4. Let n(m) = -1. Let z(v) = 4*n(v) + s(v). Let w(x) be the first derivative of x**2 - 1. What is w(z(g))?
8*g
Let u(y) = 6*y**2. Let q(f) = -f**3 - 9*f**2 - 10*f - 12. Let h be q(-8). Let z(p) = 0*p - h*p + 3*p + 3*p. Give z(u(n)).
12*n**2
Let p(j) = 2*j. Let k(x) be the third derivative of x**4/12 + 4*x**2 + 5. What is p(k(i))?
4*i
Let r(i) = -2*i**2. Let j(b) = -b + 1. Let g be j(2). Let u(v) = v - 1. Let a(y) = -3*y**2 - 9*y + 9. Let k(c) = g*a(c) - 9*u(c). Calculate r(k(m)).
-18*m**4
Let p(n) = 4*n**2 + 11*n**2 - n**2. Let d(h) = 2*h. What is d(p(y))?
28*y**2
Suppose -m = 3*m. Let t(j) be the second derivative of 0*j**3 + 2*j + 0 + m*j**2 - 1/12*j**4. Let l(k) = -2*k**2. What is l(t(y))?
-2*y**4
Let b(s) = s**2. Suppose 0 = a - 1. Suppose -2 = -4*h + 2. Let n(g) = -h + a + g. Calculate b(n(d)).
d**2
Let y(p) = 27*p + 4. Let z(f) = 26*f + 5. Let j(c) = 3*y(c) - 2*z(c). Let b(x) = 2*x. Give j(b(r)).
58*r + 2
Let u(d) = -d**2. Let p(z) = -4*z. Let s = 1 - 2. Let m(l) be the second derivative of l**3/6 + l. Let i(k) = s*p(k) - 6*m(k). Calculate u(i(y)).
-4*y**2
Let v(w) = w + 1. Let n(y) = -10*y - 7. Let a(q) = -2*n(q) - 14*v(q). Let p(j) = -j. What is p(a(r))?
-6*r
Let h(y) = -2*y. Let z(s) be the first derivative of -s**5/60 - 2*s**3 + 2. Let a(m) be the third derivative of z(m). Give h(a(p)).
4*p
Let a(j) = -108*j**2 - 56*j**2 + 129*j**2. Let g(z) = -3*z. What is a(g(t))?
-315*t**2
Let w(r) = -4 - 2*r - 6 + 10. Let f(h) = 6*h**2. What is w(f(a))?
-12*a**2
Let r(z) = 2258*z**2. Let x(i) = 2*i**2. What is r(x(a))?
9032*a**4
Let k(d) = 6*d**2 + 3*d. Let a(c) = 19*c**2 + 8*c. Let v(i) = -3*a(i) + 8*k(i). Let w(p) = 2*p. Determine w(v(z)).
-18*z**2
Let y(k) = k. Let p = -16 - -15. Let h(j) = -6*j. Let o(g) = p*h(g) - 2*y(g). Let n(l) = -2*l**2. Calculate o(n(r)).
-8*r**2
Let r(u) = 18*u + 4*u**2 - 18*u - 2*u**2. Let l(s) = -2*s. Determine l(r(d)).
-4*d**2
Let m(f) = f**2. Let a(j) = -2*j + 2. What is m(a(b))?
4*b**2 - 8*b + 4
Let d(z) = -15*z. Let w(g) be the third derivative of g**5/60 + 16*g**2. Calculate d(w(h)).
-15*h**2
Let z(t) = 105*t. Let n(s) = 35*s. Let p(x) = -17*n(x) + 6*z(x). Let h(d) = -d. Calculate p(h(u)).
-35*u
Let w = 2 - 0. Let k(v) = -w*v + 0*v + 3*v. Let r(c) = -3*c**2 + 3*c**2 + 2*c**2. Give r(k(a)).
2*a**2
Let l(i) be the second derivative of i**3/3 - 3*i. Let h(r) = -r. Calculate l(h(t)).
-2*t
Let c(r) = -r**2 - 3*r - 3. Let m(d) = d + 1. Let i(l) = -2*c(l) - 6*m(l). Let s(k) be the second derivative of k**4/6 - 2*k. Determine s(i(x)).
8*x**4
Let h(f) = f**2. Let c(v) = -3*v**2 + 2*v. Determine h(c(n)).
9*n**4 - 12*n**3 + 4*n**2
Let g(w) be the third derivative of w**4/8 - w**2. Let a(y) = -y - 4*y + 3*y. Give a(g(l)).
-6*l
Let n(t) = t**2. Let h(a) = 24*a - 12. Give n(h(k)).
576*k**2 - 576*k + 144
Let j(k) be the second derivative of -k**3/6 + 2*k + 15. Let b(z) = 2*z**2 + 3*z**2 - 2*z**2. What is j(b(q))?
-3*q**2
Let a(v) = 24*v**2. Let n(w) = -2*w. What is n(a(r))?
-48*r**2
Let b(x) = 0*x**2 + 2*x**2 - 2*x**2 - 4*x**2. Let l(y) be the second derivative of -y**3/2 + 4*y. Determine l(b(j)).
12*j**2
Suppose 0*o - 3*o = 15, -8 = 3*g + 4*o. Let u(a) = 30*a + 4 - 31*a - g. Let f(j) = -j**2. Determine f(u(w)).
-w**2
Let w(l) = -8*l**2. Let x(c) = -41*c. Calculate w(x(a)).
-13448*a**2
Let s(o) = 39*o**2. Let t(f) = -3*f. Give s(t(q)).
351*q**2
Let b(d) = 10*d**2 - 1. Let y(h) = h**2. Give y(b(o)).
100*o**4 - 20*o**2 + 1
Let y(k) = -16*k**2 - 2*k. Let l(r) = -13*r. What is l(y(o))?
208*o**2 + 26*o
Let q(k) = 2*k**2. Let d(v) be the first derivative of 5*v**2/2 - 13. Give q(d(l)).
50*l**2
Let o(q) = 4*q + 4. Let r(z) = 4*z + 6. Let k(w) = -3*o(w) + 2*r(w). Let h(j) = 3*j. What is h(k(g))?
-12*g
Let g(a) be the first derivative of 7*a**3/3 + 8. Let n(b) be the second derivative of -b**4/12 - b. Give g(n(o)).
7*o**4
Let t(v) = -3*v**2. Let b(x) = -130*x. Calculate t(b(a)).
-50700*a**2
Let v be (2/(-4) + 1)*0. Let c(p) = v*p + 4*p - 2*p. Let k(l) = 3*l**2 - 2*l**2 + 6 - 6. What is c(k(z))?
2*z**2
Let x(d) = -47*d. Let s(v) = -58*v. Calculate s(x(r)).
2726*r
Let f(d) = d. Let s(q) = 2115*q. What is f(s(t))?
2115*t
Let u(l) = -l + 7 - 7. Let n(i) be the second derivative of 0*i**2 + 0 + 0*i**3 + 1/4*i**4 - 2*i. Determine u(n(f)).
-3*f**2
Let u(y) be the first derivative of -2*y**3/3 - 32. Let a(x) = -15*x**2 + 2. Determine u(a(o)).
-450*o**4 + 120*o**2 - 8
Let o(m) be the second derivative of m**3/3 - 16*m. Let z(w) = w**2. What is z(o(x))?
4*x**2
Let j(n) be the first derivative of -n**2 + 1 - 2 - 4. Let t(v) = 5*v. Determine j(t(z)).
-10*z
Let o(b) = -10 + 22 - 28*b**2 - 12. Let q(d) = -2*d. Determine q(o(a)).
56*a**2
Let p(i) = 4*i - 6*i + 0*i - 7*i. Let l(k) be the second derivative of -k**3/6 + 2*k. What is p(l(c))?
9*c
Let f(g) be the second derivative of -g**5/60 - 5*g**3/6 + 3*g. Let m(q) be the second derivative of f(q). Let w(x) = -2*x**2. What is m(w(j))?
4*j**2
Suppose 4*u + 25 = 2*o + o, -u = 5*o - 11. Let g = o + 1. Let n(a) = 6*a**2 - 13*a**2 + g*a**2. Let h(b) = -3*b**2. Give n(h(q)).
-27*q**4
Let c(n) = 8*n**2 - 5. Let h(k) = k**2 + 4*k. Let b be h(-5). Let m(v) = 12*v**2 - 7. Let s(g) = b*m(g) - 7*c(g). Let o(u) = 0 + u + 0. Give s(o(w)).
4*w**2
Let b(l) = -l**2. Let v(p) = -1936*p**2. Calculate b(v(d)).
-3748096*d**4
Let k(q) = -2*q**2. Let h(f) = -4*f**2 + 5*f. Let y(p) = 5*p**2 + 4 - 5*p - p - 4. Let i(n) = 6*h(n) + 5*y(n). What is k(i(x))?
-2*x**4
Let t(x) = 2*x**2. Suppose 2*c + q = -3*q + 4, 4*q = -4. Suppose -2*r = -0*r - c. Let i(w) = w**r - 8 + 8. Give i(t(z)).
4*z**4
Let q(h) = -h**2. Let l(d) = d**3 - 6*d**2 - 6*d - 5. Let i be l(7). Suppose -i = -3*r + 7. Let n(z) = 4*z - z - z - r*z. Calculate q(n(o)).
-o**2
Let s(i) be the second derivative of -i**4/4 - 2*i. Let w(k) = -9 + 14 - 5 + 3*k**2. What is w(s(u))?
27*u**4
Let u(w) = 0*w + 0*w + 2*w**2. Let s(b) be the second derivative of 5*b**3/6 + 3*b. Let m(p) = -14*p. Let z(x) = 6*m(x) + 17*s(x). Determine z(u(q)).
2*q**2
Let j(c) = 22*c**2. Let r(s) = -14*s**2. What is r(j(a))?
-6776*a**4
Let d(a) be the second derivative of a**3/3 + 3*a. Let j(b) = 2*b. Give j(d(g)).
4*g
Let g(m) = -m. Let d(c) = -21*c**2 + 23*c**2 + 11*c**2. Give d(g(a)).
13*a**2
Let n(g) = -115*g + 23. Let q(s) = -29*s + 6. Let j(y) = -6*n(y) + 23*q(y). Let v(z) = -2*z. Give j(v(w)).
-46*w
Let a be (0 + 0)*(-3 + 2). Let p(r) = 6*r + r + a*r. Let t(u) = -2*u**2. Calculate t(p(n)).
-98*n**2
Let n(q) = 409*q. Let y(r) = -3*r. Give y(n(b)).
-1227*b
Let s(z) = -45*z**2 - 1. Let o(j) = 3*j**2. Determine o(s(g)).
6075*g**4 + 270*g**2 + 3
Let y(z) be the first derivative of -1/12*z**4 + 5 + 0*z + 0*z**3 - 1/2*z**2. Let g(v) be the second derivative of y(v). Let h(i) = -6*i**2. Give h(g(d)).
-24*d**2
Let k(l) be the third derivative of -l**7/1260 - l**4/24 + l**2. Let h(a) be the second derivative of k(a). Let j(r) = 3*r**2. Calculate h(j(n)).
-18*n**4
Let d(z) = z**2. Let o(w) = 29*w**2 - 6*w - 6. Let t(y) = -58*y**2 + 13*y + 13. Let h(i) = 13*o(i) + 6*t(i). Calculate h(d(q)).
29*q**4
Let o(b) = 3*b. Let u(m) = -m - 6. Let h be u(-10). Let x(s) = s + h*s - 4*s. What is o(x(v))?
3*v
Let g(v) = 2*v - 171. Let u(s) = -3*s**2. Give u(g(t)).
-12*t**2 + 2052*t - 87723
Let x(l) = 3*l. Let q(t) be the third derivative of 0 + 0*t**3 + 6*t**2 - 5/24*t**4 + 0*t. Determine x(q(b)).
-15*b
Let h(v) = 39*v**2 - 8. Let a(l) = 26*l**2 - 5. Let u(b) = 8*a(b) - 5*h( | {
"pile_set_name": "DM Mathematics"
} |
z?
True
Suppose 0 = -4*y - 2*z - 882, 5*y + z - 542 = -1637. Does 7 divide (5 - y) + 2 + -1?
True
Let l(i) = 7*i**3 + 4*i**2 - 6*i - 8. Let g be l(5). Let h = g - -55. Does 62 divide h?
True
Let c = 11801 + -3584. Does 15 divide c?
False
Let y(k) = 14*k**2 + k - 6. Let m be y(3). Let w = m - 69. Does 9 divide w?
True
Let x = -24262 + 55500. Is x a multiple of 34?
False
Suppose 4*a - 2109 = 3*q - 25858, 5*a + 39575 = 5*q. Does 9 divide q?
True
Let w be (-4530)/(-9) + (-12)/(-18). Suppose -5*h + h - 4*m + w = 0, 0 = -5*m. Is 18 a factor of h?
True
Let z = -54 - -101. Suppose -4*u + z = 6*p - 3*p, -u = -5*p + 17. Is u even?
True
Let i(r) = r**3 - 20*r**2 - 19*r - 28. Let s be i(21). Suppose -s*z = -4131 - 769. Does 32 divide z?
False
Let x be 3/(-9) + (-35)/(-15). Suppose 20 = u + x. Let s = u + 40. Is s a multiple of 21?
False
Let f(q) = 3*q - 16. Let l(r) = 17*r**2 + r - 1. Let u be l(1). Let y be f(u). Suppose 2*k - 122 = -5*o, -y = -3*k + 2*k + 4*o. Is k a multiple of 11?
False
Let g(h) = -h**3 + 20*h**2 - 3*h + 1. Does 2 divide g(18)?
False
Let a(h) = 608*h**2 - 211*h - 38. Does 3 divide a(-4)?
False
Let u(n) be the third derivative of -n**4/8 + 21*n**3/2 + 19*n**2 - 12*n. Let o = 1 - 1. Is u(o) a multiple of 14?
False
Let l = -13645 - -26318. Is l a multiple of 14?
False
Let z(u) = 15*u**3 - 4*u**2 - 31*u + 48. Is z(6) a multiple of 29?
True
Let o = -709 - -729. Let g(l) = 7*l**3 + 3*l**2 + 2*l. Let m be g(-2). Is (m/o + 2)/(1/(-90)) a multiple of 9?
True
Suppose -4*l - 20 = 5*t, -8*t = l - 13*t - 20. Suppose -5*g + 7*k - 11*k = -3566, l = -g + 4*k + 694. Is 37 a factor of g?
False
Let m(i) = -40*i - 87. Let d be m(-3). Does 14 divide (d/(-6))/1*178*-1?
False
Let z be (95/190)/(0 + 1/94). Suppose z = 4*q + 2343. Is 8 a factor of q/(-8) + 22/88?
True
Let r = 3837 + 196. Is r a multiple of 37?
True
Suppose 5*o - 1 = 9. Let u(d) = -1 + 25*d + d**3 - 4*d - 14 - 20*d**o. Is 6 a factor of u(19)?
False
Let f be (637/(-65))/(1/(-5)). Suppose -4*v = n - f + 14, 4*v - 20 = 0. Is 7 a factor of n?
False
Let g be (1 - 3) + 25 + -25. Is 81 a factor of g/5*-15 - -966?
True
Suppose 5*p = -4*i + 134, -6*i + 2*p + 222 = -p. Does 2 divide i?
True
Is (-3)/3 + 7/(119/26027) a multiple of 25?
False
Suppose -286*v + 1465398 = -565488. Does 18 divide v?
False
Let l(z) = z**2 - z + 1. Let a be l(3). Let q(u) = -u**2 + 3*u + 13. Let v be q(a). Is -2*5/15*v a multiple of 10?
True
Suppose -2*o = -2*x + 98, 3*x - 4*o = x + 94. Let b = x + 73. Suppose -3*t + 4*n + b + 237 = 0, 0 = -5*n + 10. Does 8 divide t?
False
Let q(x) = -x**3 + 25*x**2 + 51*x + 47. Let y be q(27). Is (-1)/2 + (-14161)/y a multiple of 16?
True
Suppose -2*k - 17*r = -18*r - 877, -2*k + 5*r + 865 = 0. Does 88 divide k?
True
Does 32 divide (8392/(-6))/(33/(-792))?
True
Suppose 7*u + 5*v + 8090 = 11*u, -2*u + 4040 = -5*v. Is u a multiple of 5?
True
Suppose -5*s = 5*k + 120, 0*k = 3*s + 4*k + 74. Let b = -18 - s. Suppose 3*f = -2*f - 5, 0 = -2*g + b*f + 304. Does 35 divide g?
False
Let q be -4*1/(12/(-2721)). Let z = q - 600. Let a = z - 216. Is 18 a factor of a?
False
Suppose -17*k - 49*k - 5*k + 961695 = 0. Does 35 divide k?
True
Let i(m) = -2*m**3 + 2*m - 12. Let k(g) = -3*g**3 + g**2 + 5*g - 25. Let d(q) = -5*i(q) + 2*k(q). Let l = -614 - -617. Does 17 divide d(l)?
True
Let f(i) = -68*i**3 + 2*i**2 - 10*i - 32. Is 6 a factor of f(-4)?
True
Let k = 14 + -9. Let r(o) = -o**2 + k*o**2 - 2*o**2 + 8*o**2 + 3. Is 10 a factor of r(-2)?
False
Let j be 1/(4*((-234)/48 - -5)). Suppose j*k - 179 = -c, -3*k = -5*c + 7*c - 361. Does 4 divide c?
False
Let g(r) = r**3 - 23*r**2 + 72*r - 36. Let d be (-42)/(-10)*17/(68/20). Does 33 divide g(d)?
True
Let q be -3*1/(-6)*0. Let s(x) = -x**2 + 8*x - 3. Let h be s(7). Suppose h*j - 142 - 54 = q. Is j a multiple of 10?
False
Let l be 408/66 + 2/(-11). Let u(k) = 86*k - 129. Is u(l) a multiple of 65?
False
Let z be 1/4 - (-5)/(-20). Suppose z = 10*g - 17*g + 1050. Does 15 divide g?
True
Does 15 divide (-15314380)/(-665) + (-5)/35*1?
False
Let a(v) = -v**2 + 9*v - 166. Let d be a(32). Let k = -823 - d. Is 6 a factor of k?
False
Is -9 + 323 + 24 - (-1 + -1 + 4) a multiple of 28?
True
Let u(k) = 6*k**2 + 148*k + 219. Does 11 divide u(-56)?
True
Is 135 a factor of (-64*60)/(91/117 + -1)?
True
Let y(k) = -253*k + 17. Let r be y(-4). Let a = r + -537. Is a a multiple of 27?
False
Let d(b) = -b**3 - 12*b**2 - b - 1. Let z be d(-12). Let o be (z/(-2))/((-12)/(-672)). Let p = -165 - o. Is p a multiple of 17?
False
Is ((3200/(-24))/10)/((-23)/12144) a multiple of 352?
True
Let n = 14060 - 13630. Is 5 a factor of n?
True
Let l be (-1)/(-6)*4 - 5/(-15). Let q be (2 + -2*18)/l. Let z = q - -39. Does 5 divide z?
True
Suppose -51*y - 115*y = -4009232. Is 18 a factor of y?
False
Suppose -12528568 = -407*b + 5827539. Is 9 a factor of b?
False
Is 16 a factor of (-134)/4489 - (-1277166)/402?
False
Suppose -3*w = -2*a + 680, -5*w - 2*a - 1160 = -0*w. Let i = w + 370. Suppose 36 = y - k - 0*k, i = 5*y + 5*k. Is y a multiple of 8?
True
Suppose -70 = -8*s + 7*s. Suppose d + 4*d = -s. Does 16 divide -2 - -2 - (d - 2)?
True
Let c(m) = 18*m**2 - m**3 - 6 - 14 + 12 + 11*m. Does 36 divide c(18)?
False
Suppose -87*m + 82*m - 10 = 0, 0 = g + 2*m - 6524. Is g a multiple of 34?
True
Suppose 364 - 353 = t. Does 12 divide 313/(-5 - ((-242)/4)/t)?
False
Let m(i) be the second derivative of 7*i**4/12 + i**3 + 3*i**2/2 + 2*i. Let o = 362 - 358. Does 18 divide m(o)?
False
Let u(q) = -q**3 - 9*q**2 - q - 6. Let r be u(-9). Suppose 4*g + i - 4 = -i, -r*g = -3*i + 6. Suppose 30*k - 27*k - 540 = g. Is k a multiple of 36?
True
Let r be (-2 + 1)/((-3)/(-27)). Let i be -3*r/(54/4). Suppose 8*s - i*t = 3*s + 252, -4*s + 3*t = -203. Does 7 divide s?
False
Let s be (-5 + 5)/(-3) - -4. Does 14 divide 398844/276 + s/(-46)?
False
Let s be 2 + 6*48/(-9). Does 4 divide (-471)/(-6) - (-75)/s?
True
Suppose 2795 = 4*s - 5*k, s - 5*k + 2105 = 4*s. Suppose -r = -6*r + s. Is 35 a factor of r?
True
Let q = 112 - 71. Let j be 4/(4/3) + 1. Let w = q + j. Is w a multiple of 15?
True
Let u(i) = 2*i - 10. Let a be u(6). Suppose 3*q + 288 = 4*d, -4*d + 3*q = a*q - 288. Is d a multiple of 8?
True
Suppose 0 = 4*f - 3*o - 58, -f - 2*o - 1 + 10 = 0. Suppose f*x - 580 = -7*x. Is 24 a factor of x?
False
Suppose 2 = -5*u - 18, -5568 = -2*v - 4*u. Does 159 divide v?
False
Is 53 a factor of (6/(-8))/(((-162)/(-20640))/(-27))?
False
Let n(g) = 520*g - 41. Suppose 4*j - 19 = -5*u, 4 - 3 = -2*j + u. Is 22 a factor of n(j)?
False
Suppose 60 = 20*m - 26*m. Does 46 divide 8/(-40) + -1 + (-1102)/m?
False
Let m(i) = -i + 23. Let f be m(24). Let w be (1 - -1)*f/(-1). Suppose w*z - 135 = -3*z. Is 5 a factor of z?
False
Let z(p) = -30*p + 60. Let c be z(2). Suppose 2*q - 4*q + 2*h + 542 = c, 0 = q - 3*h - 273. Is q a multiple of 11?
False
Suppose 2*l = -2*i + l + 18, 4*i - 2*l - 52 = 0. Suppose 6*r + 720 = i*r. Is 18 a factor of r?
True
Let j(k) be the third derivative of k**5/60 + k**4/3 + 74*k**2. Does 13 divide j(-38)?
False
Is -14*15/(-315)*7023 a multiple of 8?
False
Let m(d) = -3*d**2 - 6*d + 20. Let f be m(0). Is (-1716)/(-8) + 50/f a multiple of 7?
True
Let y(k) = 206*k**2 - 11*k - 6. Let q be (-5)/((-7)/((-112)/40)). Does 31 divide y(q)?
False
Let m = 179 - 179. Suppose m = -6*g + 156 - 48. Does 7 divide g?
False
Let k(y) = y**2 - 2*y + 120. Suppose 0 = -2*x + 5*c + 26, 0 = -c - 4 + 2. Suppose -x*u = -2*u - 0*u. Is 12 a factor of k(u)?
True
Suppose 5*c + 105 = 4*p - 3*p, -5*p + 441 = 3*c. Let y = p + -75. Is y a multiple of 3?
True
Let g(i) = 26*i + 8. Let j(y) = -29 - 19 - 2 + 8 - 131*y. Let l(d) = -11*g(d) - 2*j(d). Is l(-8) a multiple of 24?
False
Let z(j) = j**2 + 15*j + 36. Let i be z(-12). Suppose -b + i + 52 = 0. Let t = b - -26. Is t a multiple of 14?
False
Let f be -3 + (-54)/(-15) + 408/120. Let p(i) = 5*i**3 + 11*i**2 - 2*i + 19. Is 37 a factor of p(f)?
False
Let d(b) = 180*b + 2. Let o be 6/(-8)*22/33*-4. Suppose 2 + 0 = o*y. Is d(y) a multiple of 14?
True
Suppose u + 2985 = 4*f - 50743, 0 = 4*f + 2*u - 53704. Is 17 a factor of f?
True
Suppose 1293 = -3*w + 3*q, 0*q + 2163 = -5*w + 3*q. Suppose 5*d + 25 = -5*m, -3*m + d - 23 = -4. Does 8 divide w/(-6) - (-3)/m?
True
Let j = 5204 + -2671. Is j a multiple of 7?
False
Suppose -7*y - 2 | {
"pile_set_name": "DM Mathematics"
} |
548 + 2842 for w.
-97
Solve 3717*w = 2068*w + 6596 for w.
4
Solve 128*m = 37*m - 140*m for m.
0
Solve 9255 = -637*h + 20*h for h.
-15
Solve -1251*q - 847 = 26905 + 9778 for q.
-30
Solve 32*m - 2895 = -687 for m.
69
Solve 4*l - 2*l + 98*l = -2100 for l.
-21
Solve 0 = 1322*f - 15624 + 3726 for f.
9
Solve -581*u - 665*u = -328*u + 37638 for u.
-41
Solve -345*h + 3898*h = 11774 + 8729 + 815 for h.
6
Solve 170163 - 80313 + 190049 + 357709 = 6856*c for c.
93
Solve 0 = 787*k - 388*k + 802*k - 60498 + 8855 for k.
43
Solve -4163 - 35365 = 1464*b for b.
-27
Solve 33*d - 8*d + 60 = 8*d + 485 for d.
25
Solve 118170 = 1205*j + 1421*j for j.
45
Solve -16831*n + 3675 = -16726*n for n.
35
Solve -63*l + 3869 = 1428 - 1213 for l.
58
Solve 99*u - 141*u + 25480 = -679*u for u.
-40
Solve -1226*s + 18176 = -14842 - 130040 for s.
133
Solve -19*k + 43*k - 2613 + 195 = -69*k for k.
26
Solve 18*r + 73*r - 23*r = -3285 - 1543 for r.
-71
Solve 568*d - 5964 = -12621 - 12655 for d.
-34
Solve -1421*z - 458*z - 48*z = 853*z + 172360 for z.
-62
Solve -2219637 = 21093*c - 4404*c for c.
-133
Solve 19532 = -1179*y - 1690 for y.
-18
Solve 909*v + 23377 + 23443 = 554 - 11910 for v.
-64
Solve 243016 = 235*t - 72*t + 263391 for t.
-125
Solve -74*a - 1075 + 164 - 1012 = 1481 for a.
-46
Solve -29*d + 55*d + 22*d - 804 - 2460 = 0 for d.
68
Solve -2316*u + 1191*u = 1340*u - 160225 for u.
65
Solve -84621 = 10367*m - 2351*m - 165285 - 239976 for m.
40
Solve -7627 = -560*b + 297*b for b.
29
Solve 48245621*b + 1396 = 48245558*b - 3455 for b.
-77
Solve -5238*p + 4488*p = 77250 for p.
-103
Solve 20*k + 107 + 945 = 92 for k.
-48
Solve 44*p + 30*p + 34*p = 8*p + 5400 for p.
54
Solve -459*v - 6012 = 3944 - 2153 for v.
-17
Solve 7937*w = 6102*w - 121110 for w.
-66
Solve 84*c + 4*c + 17*c - 1050 = -70*c for c.
6
Solve -124589 = -31*f - 123194 for f.
45
Solve 20*w = -4*w - 302*w - 20*w + 18684 for w.
54
Solve 2028*z - 17822 = 802*z - 61958 for z.
-36
Solve -833*y + 567788 = 2663*y + 975*y + 183*y for y.
122
Solve -3941*w = -640*w - 14687 - 180072 for w.
59
Solve -639*r + 23734 + 10699 - 4638 + 1516 = 0 for r.
49
Solve -4714*n + 19751 = -23172 + 552035 for n.
-108
Solve -1613*a = -1670*a + 228 for a.
4
Solve 1787*h + 135717 + 61380 = -49509 for h.
-138
Solve -251091 + 176075 = 5746*g + 263998 for g.
-59
Solve -931*r + 1249 - 41449 = 303*r + 56052 for r.
-78
Solve -385*y - 71*y + 8392 = 593*y for y.
8
Solve 194*f = -16374 + 550 + 1856 for f.
-72
Solve -57*j + 412*j - 385 = -30*j for j.
1
Solve 192*o + 1346 - 64 + 1790 = 0 for o.
-16
Solve 29*m + 43*m + 2184 = 16*m + 112*m for m.
39
Solve -21*f + 100393 = 110*f + 101441 for f.
-8
Solve -124*a - 3741 - 591 = 3616 - 1500 for a.
-52
Solve 1837*p = -1849*p - 241*p + 479094 for p.
122
Solve 603*d - 53668 - 144162 = 3313*d for d.
-73
Solve -906*n - 816*n + 365*n = -120009 - 23833 for n.
106
Solve 2817 + 3174 = -118*b - 3083 + 2938 for b.
-52
Solve -964*d + 4393 = -76*d + 23099 + 31022 for d.
-56
Solve 61*v = 19786 - 21555 for v.
-29
Solve -373*s + 5888*s - 181579 = -2367*s + 669677 for s.
108
Solve 1936 = -82*n - 18*n - 9*n - 2097 for n.
-37
Solve -29126*z + 96 = -29128*z for z.
-48
Solve 9179 + 253 = 76*s + 67*s + 1567 for s.
55
Solve -34878*a + 33114*a - 104076 = 0 for a.
-59
Solve -389*h = 4359*h - 85184 + 139259 + 131097 for h.
-39
Solve 27131 = -997*v - 14743 for v.
-42
Solve -255*c - 274*c - 8464 = 0 for c.
-16
Solve 4087 = 2549*x + 8740 + 20837 for x.
-10
Solve 254 + 321 = -15*z - 401 + 226 for z.
-50
Solve -603*u - 68952 = 2805 for u.
-119
Solve 3903 - 1051 = 417*r - 1735 for r.
11
Solve -11*w + 180 - 250 = -125 for w.
5
Solve -695*w - 11007 = 4755*w - 125457 for w.
21
Solve -4680*w - 171900 - 90564 = 23016 for w.
-61
Solve -1927728*x - 86 = -1927771*x for x.
2
Solve 246 + 294 = 540*j for j.
1
Solve 2015*q - 384*q - 23153 - 53504 = 0 for q.
47
Solve 5853*t = 5788*t + 1659 + 8286 for t.
153
Solve 0 = -716*d + 288*d + 10523*d - 84228 + 23658 for d.
6
Solve -54903 = -6191*v - 482082 for v.
-69
Solve -9059*p + 7185 + 682044 = 1228*p for p.
67
Solve 17*t + 7222 = -68*t + 18*t - 818 for t.
-120
Solve 2340 = -186*x + 303*x for x.
20
Solve 9*k - 33*k + 476 = 10*k for k.
14
Solve -1071 - 1594 = -93*k - 4*k - 10619 for k.
-82
Solve -3774 = 2204538*k - 2204436*k for k.
-37
Solve -31373 - 37726 = 2229*m for m.
-31
Solve -1509*b - 83036 = -16640 for b.
-44
Solve 6184*r - 71625 = 663*r + 91352 + 129636 for r.
53
Solve 3431*m - 3067*m - 3945 = 10979 for m.
41
Solve 48*f - 11620 = -78*f - 26*f + 12*f for f.
83
Solve 13904*a - 1719*a = -11320*a + 154*a + 186808 for a.
8
Solve -25794*x = 25786*x - 51558*x - 1166 for x.
53
Solve 29427 - 9555 = 363*f - 1191*f for f.
-24
Solve 21270*i + 18148 = 21619*i for i.
52
Solve 4151 = -2832*v + 4629 + 33506 for v.
12
Solve 24*a - 1598655 + 1599975 = 0 for a.
-55
Solve -75636*i - 232456 = -71485*i for i.
-56
Solve -194299*j = -194322*j + 184 for j.
8
Solve 0 = 42*c + 32*c + 137 - 2213 - 70 for c.
29
Solve 782*f + 731*f = -353*f + 106362 for f.
57
Solve 111*w - 398 = -1336 - 1133 + 184 for w.
-17
Solve 4291 = -218*s + 9778 + 4977 for s.
48
Solve -2425*w + 76 = 42 + 34 for w.
0
Solve -199*q - 2913 = 1188 + 41 + 435 for q.
-23
Solve -316*s - 75715 = 552*s - 71*s for s.
-95
Solve -4*g - 14*g - 4706 = -5498 for g.
44
Solve 8006*r + 33683 = -169403 - 285280 for r.
-61
Solve -145*o - 16120 - 14877 = 840*o + 32043 for o.
-64
Solve 0 = 9006*z + 4280*z - 1222312 for z.
92
Solve -764*a + 1062*a = 839*a + 15689 for a.
-29
Solve 427955*p - 427839*p = 2204 for p.
19
Solve 961*p - 1955*p + 953*p = 984 for p.
-24
Solve 2256*x - 3559*x = 67756 for x.
-52
Solve 16520*x - 50 = 16518*x + 30 for x.
40
Solve -10284 + 2832 = -257*k - 19*k for k.
27
Solve 1949*k = 103557 - 35342 for k.
35
Solve 0 = 184*u + 184*u + 431*u + 37553 for u.
-47
Solve 98*o + 117*o + 845 = 49*o - 483 for o.
-8
Solve 580*r + 32*r - 20*r + 558*r + 47150 = 0 for r.
-41
Solve 0 = -664*h + 597 - 597 for h.
0
Solve 34967 = -3661*a - 93168 for a.
-35
Solve -224*d + 1789 + 92 = -167*d for d.
33
Solve 12405 + 47355 = -1045*s - 947*s for s.
-30
Solve 724*o - 12032 = -780*o for o.
8
Solve 682613*b - 682680*b + 1474 = 0 for b.
22
Solve 9822*f + 24272 = 20175*f - 9697*f for f.
37
Solve 491*u + 138*u + 232*u + 5*u = 31176 for u.
36
Solve 421*g + 415*g = 724*g - 4480 for g.
-40
Solve 34 - 1471 = 52*u + 487 for u.
-37
Solve 3269 = 162*h + 370 - 2123 for h.
31
Solve -90*m - 21*m = 31*m + 2982 for m.
-21
Solve -774*f + 967*f - 608*f - 17015 = 0 for f.
-41
Solve -389*t - 433*t + 915*t + 1023 = 0 for t.
-11
Solve 1413*m - 63256 = -14744 + 17899 for m.
47
Solve 1541*y + 11092 = 28043 for y.
11
Solve 1006*j - 3602*j - 4318*j - 1082774 = 5252*j for j.
-89
Solve -362*u - 1460*u + 49008 = 1593*u - 9047 for u.
17
Solve 118*n - 21570 + 4864 = -532*n + 13844 for n.
47
Solve 269*y - 219*y = -524*y - 21238 for y.
-37
Solve -489*a + 2070 = -934*a + 560*a for a.
18
Solve 116*x - 22435 - 20061 = -1212*x for x.
32
Solve 0 = 46*o - 12 - 218 for o.
5
Solve -136582 = -2394*n + 157880 for n.
123
Solve 27813*l - 33195*l = -435942 for l.
81
Solve 132*i - 51*i = 43*i + 114 for i.
3
Solve 152*i = -148*i + 10200 for i.
34
Solve 342*b - 29376 = 1074*b + 84*b for b.
-36
Solve -4104*u = 68*u + 310*u - 537840 for u.
120
Solve -256506 = -2548*j + 56898 for j.
123
Solve 5712 - 1484 = -24*v + 115*v + 60*v for v.
28
Solve -2750*b + 764024 = -11634*b for b.
-86
Solve -32*j + 85*j + 105*j - 4328 - 2150 = 0 for j.
41
Solve -89329 - 101147 = -2886*m for m.
66
Solve -3654*n - 3610*n + 7307*n - 86 = 0 for n.
2
Solve 471*x - 1000*x + 2306 = -354*x - 9244 for x.
66
Solve 33353*g - 12240 = 33183*g for g.
72
Solve 154*a = -138*a + 402*a + 9680 for a.
-88
Solve 0 = 21665*n - 22042*n + 2639 for n.
7
Solve 411*t - 139186 = -125212 for t.
34
Solve -1505*v - 19 = -1513*v + 29 for v.
6
Solve -9343*w + 612233 = -41777 for w.
70
Solve 0 = -894*d + 808*d + 1892 for d.
22
Solve 502*w = 765*w + 10520 for w.
-40
Solve 3264*i + 27926 + 79434 = 580*i for i.
-40
Solve -1925*x - 2224*x - 197725 = -122871 - 622522 for x.
132
Solve 1954*v = -88981 - 39672 - 17897 for v.
-75
Solve 1887*n + 65865 = -32259 for n.
-52
Solve -1478 - 8054 = -1338*h + 18566 for h.
21
Solve 101104 = -1829*b - 81023 - 53405 + 47145 for b.
-103
Solve 134*u = 222*u + 125*u + 234 | {
"pile_set_name": "DM Mathematics"
} |
t is the nearest to -1 in 0.3, 2/9, 465, -1?
-1
What is the closest to 2/3 in 0.1, -0.2, -8, -12, -68?
0.1
Which is the nearest to 7? (a) -14 (b) -2/3 (c) 3/5
c
Which is the closest to -0.15? (a) -52 (b) -30.4 (c) -3
c
Which is the nearest to 0? (a) -0.01 (b) 106 (c) 2.8
a
What is the nearest to 0.5 in -0.2, -14/5, 5, -11/6?
-0.2
What is the nearest to 1/4 in -0.249, 2/3, 203?
2/3
What is the nearest to 2 in -0.2, 7, 2, 2/7, 3/8?
2
What is the nearest to 101 in -1, 1/5, -2, 1?
1
What is the nearest to -3 in 0.3, 8, 2/7, 4?
2/7
What is the nearest to 0.2 in 0.5173, 3/5, -13?
0.5173
What is the nearest to -1 in 0.1, -0.499, 36, -1/5, 0.4?
-0.499
Which is the nearest to -2/381? (a) 2 (b) 2/7 (c) -2 (d) -1
b
What is the closest to -7/9 in 0.2, -3, -6?
0.2
Which is the nearest to 4? (a) -6/217 (b) 3 (c) 1/2
b
Which is the nearest to -0.41? (a) 0 (b) -2.1 (c) -2
a
What is the closest to -4 in 2/9, -1264, -1?
-1
What is the nearest to 2221 in -0.1, -0.4, 0.1, -2?
0.1
Which is the nearest to -2? (a) 321 (b) 5 (c) 7 (d) -0.2
d
What is the nearest to 9.79 in 52, -10, -0.3?
-0.3
Which is the closest to -76? (a) 5 (b) 39/4 (c) 1 (d) -0.3
d
Which is the closest to -0.2? (a) 16 (b) 0.1 (c) -0.4 (d) -0.66
c
What is the closest to 1/4 in 13.5, -1/5, 3, -6?
-1/5
What is the closest to 7 in 4, -15, 5.2?
5.2
Which is the closest to -14? (a) -2/7 (b) -2 (c) 315/8 (d) 3
b
What is the nearest to -164.8 in -2, 3/7, -0.01, 2/11, 1?
-2
What is the closest to 6/11 in 5, 88/9, -1/11, -0.3?
-1/11
What is the closest to 1/4 in 3, 12, 81093, 2/5?
2/5
What is the nearest to 0 in 3/4, -5, -1, 0.303?
0.303
Which is the nearest to -1/4? (a) 0.5 (b) 0 (c) 7/52
b
What is the closest to 1 in 1260, 1, 1/3, -1, 2/15?
1
What is the closest to -0.1 in 293.1, 1.4, -2, -0.3?
-0.3
What is the nearest to 0 in 1.4, 4394, -3?
1.4
Which is the closest to -47? (a) 2/5 (b) 0.5 (c) -32
c
What is the nearest to -1 in -7, 473, 0.4, 3/5?
0.4
What is the closest to -0.09 in 4, -2526, 0.2, 6?
0.2
Which is the nearest to 2? (a) -1.025 (b) -1 (c) -2/17 (d) -4 (e) -7
c
What is the nearest to 1/481 in -2/9, 22, 0.2?
0.2
Which is the nearest to 0? (a) -17 (b) -12 (c) -3.5 (d) -1/3 (e) -0.3
e
Which is the nearest to -3/40? (a) 8 (b) -0.6 (c) 3 (d) -3/4
b
Which is the nearest to 1? (a) 2/3 (b) 0.13 (c) -7/69
a
Which is the closest to 2? (a) 4 (b) -6/7 (c) -25 (d) 9
a
What is the closest to 1/4 in 3/40, 100, -3?
3/40
Which is the nearest to -2? (a) -2/7 (b) -3/56 (c) 12.7
a
Which is the closest to 59? (a) 1 (b) -0.3 (c) 816
a
What is the closest to 0.1 in 0, 3, 1/2, -65?
0
What is the closest to -2 in 0.1, -1/21, -0.2, 2/7?
-0.2
Which is the closest to 0? (a) 9.97 (b) -2/15 (c) -10 (d) -2/13
b
Which is the closest to 0? (a) 2 (b) -3.13 (c) -1.1
c
Which is the nearest to 2? (a) -1 (b) -2 (c) -0.0725 (d) 3
d
Which is the closest to 1? (a) 3 (b) 4 (c) 0.12 (d) 116 (e) -0.8
c
What is the closest to -0.1 in -6/13, 5, -0.5, -4053?
-6/13
Which is the closest to -11/51? (a) -5 (b) -2/3 (c) 4 (d) 0.4
b
What is the nearest to -2 in -22, -25.2, 4?
4
Which is the closest to -1? (a) 195 (b) -1/87 (c) 0.3
b
What is the closest to -3/2 in 8, -0.4, -0.6?
-0.6
What is the closest to -14/25 in -4, -1.7, 1/3?
1/3
What is the nearest to -0.049 in -3, 8/13, 4?
8/13
Which is the closest to 65? (a) 0 (b) 4/7 (c) 46 (d) 0.5
c
Which is the nearest to -376? (a) 0.9 (b) -3 (c) -0.9
b
What is the closest to -3 in 1, 0.2, 412, 0?
0
What is the closest to -0.07 in -4, 1/3, -2, 10, 2/11?
2/11
Which is the closest to -2/3? (a) 7 (b) -4 (c) -5 (d) -231
b
What is the closest to -16.6 in 4, 0, 15/2, 1, -4?
-4
Which is the nearest to 990? (a) -2/17 (b) 252 (c) -1
b
Which is the closest to 0.1? (a) -1247 (b) 2/9 (c) -3.3
b
What is the closest to -1 in -1.52, -1, -0.15, -2/11?
-1
Which is the nearest to 1? (a) 1/9 (b) 1 (c) -60015
b
What is the closest to 6/13 in -1, -1/7, -6, -0.4?
-1/7
What is the closest to -37 in 0.4, -15, -0.08?
-15
What is the closest to 0.2 in -5/13, -3, 610?
-5/13
What is the closest to 1 in 151.071, -0.4, 1/3?
1/3
What is the closest to 0 in -3, 1/10, 5, 2/7, 888?
1/10
What is the closest to 2/7 in -1, 34, -33, 2/11, 7?
2/11
Which is the closest to 15076? (a) 0.1 (b) -0.2 (c) 5
c
Which is the nearest to -2? (a) 0.4 (b) 0.1 (c) -0.6 (d) -3/94
c
Which is the nearest to -17? (a) -25/3 (b) 2/25 (c) 1
a
What is the nearest to 193849 in 5, 1, -3?
5
Which is the nearest to -7/2? (a) 2 (b) -3 (c) -51 (d) 10 (e) -2
b
What is the closest to 2 in 30, -19, -2?
-2
What is the closest to -0.1 in -64, -0.2, -2/15, -2/17, -0.571?
-2/17
What is the nearest to 0.2 in -64.6, -4, -0.5?
-0.5
What is the closest to 3/31 in -0.39, 3, 0, -2?
0
Which is the nearest to 11? (a) 0.1 (b) 4 (c) 11/21
b
What is the closest to -0.11 in 2, -3/8, 5, -0.08?
-0.08
Which is the closest to 0? (a) 13 (b) 9 (c) 188
b
Which is the nearest to 2? (a) 0.066 (b) 2/7 (c) 1.72
c
What is the nearest to 3/4 in 2/5, -3, 3/8, -2/11?
2/5
What is the nearest to 58 in 2, -158, 1/5, -0.3?
2
Which is the nearest to 2/19? (a) 4 (b) 1/3 (c) -0.5 (d) -1.6 (e) -4
b
Which is the nearest to 1? (a) -0.4 (b) 101 (c) 2/9 (d) -2 (e) -26
c
Which is the closest to -0.3? (a) -1 (b) -2 (c) -3/5 (d) 170/3
c
Which is the closest to -25? (a) 2/15 (b) 0.06 (c) 12/13
b
What is the nearest to -1.8 in 5, -239, 0, -4?
0
Which is the closest to 2? (a) 19/24 (b) 0.2 (c) 3 (d) 1/6
c
Which is the closest to 1? (a) 0.5 (b) 4 (c) 41/3 (d) 1/13
a
What is the closest to 0.172 in 1, -15, 0.07, -0.4?
0.07
What is the nearest to -35 in -10, -3, -13?
-13
What is the closest to 2 in -2/377, 1/9, -0.2, -5, -0.3?
1/9
What is the closest to -1437 in 3/4, 2/5, -2?
-2
Which is the nearest to -74.1? (a) 1.6 (b) 3 (c) 0.4
c
What is the nearest to -2/7 in -0.003, 2/7, 0, 0.11?
-0.003
What is the nearest to 0.1 in 4, 2, 6/11, -1/5?
-1/5
What is the closest to 0.3 in -0.073, -0.24, 8?
-0.073
Which is the nearest to -2/253? (a) -3 (b) 2/5 (c) 0.2 (d) 0.5
c
What is the closest to 0 in -0.5, 7, -0.4, 4, 35?
-0.4
What is the closest to 1 in -20, -13, 0.079?
0.079
What is the nearest to -8 in 0.3, 23, -5/4, -1/5?
-5/4
Which is the closest to -17/3? (a) -0.4 (b) 1 (c) -138.47 (d) -2
d
What is the closest to -2/5 in -41, -2/11, -988, 1/4?
-2/11
What is the closest to -0.1 in 2, 0.322, 57, -5?
0.322
What is the nearest to -9.9 in 3, 5, 22, -1.5?
-1.5
What is the nearest to 2 in -1/3, 2.5, 0, 4/7, -0.2?
2.5
What is the closest to 2 in 4, -1234, 3/2, -5?
3/2
Which is the closest to 0.28? (a) 5 (b) 0.4 (c) -4
b
What is the closest to 14 in 2, 0.2, 83, -2, 0.1?
2
Which is the closest to 1? (a) -2/5 (b) -19 (c) 2/39 (d) -1/2 (e) 5
c
What is the nearest to 1 in -5, -1/2, 2/37, 381, 0?
2/37
Which is the nearest to 3/34? (a) -1/24 (b) 2 (c) -9 (d) -0.4
a
What is the closest to 1 in 3, -0.4, 4/5, 0.5, 14?
4/5
What is the closest to -7 in 30, -1, 3/7, 0.09?
-1
Which is the closest to -7? (a) 1 (b) 1/6 (c) 1/8 (d) -23
c
Which is the closest to 428340/13? (a) 2/9 (b) -1 (c) 0.3
c
What is the closest to -0.1 in 0.1, 16, 1/4, 0, -5?
0
Which is the closest to 6/55? (a) 0.1 (b) -1/14 (c) -5
a
Which is the closest to 4? (a) 1/11 (b) -0.4 (c) -0.5 (d) 262.58
a
What is the closest to 1 in 460, 1, 4/5, 2, 5?
1
Which is the nearest to 2? (a) 0.08 (b) 8 (c) 2 (d) -1 (e) -9
c
Which is the nearest to -1/2? (a) -3 (b) -27 (c) -9 (d) 0 (e) -4
d
Which is the closest to 3/5? (a) -2/5 (b) 2.11 (c) 4/7 (d) -1/6
c
What is the nearest to 1/2 in 9, 56, -0.3, -4?
-0.3
Which is the closest to -331.4? (a) 5 (b) 1 (c) 2
b
What is the nearest to 2 in 2/3, 20, -28, 0.4?
2/3
What is the nearest to -30 in 1/3, -2/5, 26, 4?
-2/5
Which is the closest to -42/13? (a) 6.3 (b) 70 (c) -0.2
c
Which is the nearest to -1.8? (a) -2 (b) 2 (c) 1 (d) -4 (e) -107
a
Which is the closest to 3? (a) -25/29 (b) -1/3 (c) 2/3 (d) -2
c
Which is the closest to 0.6? (a) 1/4 (b) 0.1 (c) -2/9
a
Which is the closest to 6? (a) -2 (b) -3 (c) 2/5 (d) 0.6 (e) 5
e
Which is the closest to 64? (a) -0.01 (b) 4 (c) -0.1 (d) 1/7
b
Which is the nearest to -0.52? ( | {
"pile_set_name": "DM Mathematics"
} |
e 7, what is -6 + -20?
-26
In base 10, what is -3 - -1053?
1050
In base 12, what is -2b - -32?
3
In base 6, what is 5 + 4?
13
In base 11, what is 3 - 2574?
-2571
In base 3, what is 1202021 - 2?
1202012
In base 9, what is -2 - 615?
-617
In base 10, what is 83 + 8?
91
In base 6, what is 15 + 22?
41
In base 4, what is 0 + 222113?
222113
In base 2, what is -100111100 + 100?
-100111000
In base 4, what is 10 + 11313?
11323
In base 3, what is 1000200 - 11?
1000112
In base 3, what is 0 + 22021?
22021
In base 7, what is -10 + -30?
-40
In base 3, what is 1 - -10020?
10021
In base 10, what is 0 - 295?
-295
In base 4, what is 0 - -203112?
203112
In base 7, what is 633 - -26?
662
In base 11, what is 0 - 64?
-64
In base 9, what is -1 - -5238?
5237
In base 11, what is -176 - 179?
-344
In base 8, what is -13 - -136?
123
In base 15, what is -4 - c5?
-c9
In base 8, what is -676 + -3?
-701
In base 15, what is 29c - 4?
298
In base 8, what is -26012 - 4?
-26016
In base 4, what is -31 - 112?
-203
In base 6, what is 5 - 22403?
-22354
In base 4, what is 2 - -301?
303
In base 12, what is 5 - -48?
51
In base 13, what is -3 - -2221?
221b
In base 6, what is -13 - 301?
-314
In base 15, what is -61 + 51?
-10
In base 10, what is 0 + -47?
-47
In base 10, what is 802 + -5?
797
In base 12, what is -1 - 432?
-433
In base 5, what is -1 + 104?
103
In base 14, what is db + -2d?
ac
In base 6, what is -105325 + -2?
-105331
In base 8, what is -6 - 0?
-6
In base 12, what is -3 - a5?
-a8
In base 16, what is 39 - -4?
3d
In base 7, what is -53 + 6?
-44
In base 5, what is -100 - -140?
40
In base 7, what is -13122 - 0?
-13122
In base 13, what is 50 + -5?
48
In base 5, what is 431440 - 3?
431432
In base 15, what is 3 + -31?
-2d
In base 8, what is -14 + -354?
-370
In base 3, what is 22100 + 122?
22222
In base 8, what is -2 + 126?
124
In base 4, what is 11 - 2130?
-2113
In base 3, what is -121001 + -1?
-121002
In base 9, what is 1 - 21?
-20
In base 15, what is -5 + -463?
-468
In base 13, what is -2 - 83?
-85
In base 7, what is 142 + -10?
132
In base 7, what is -5 + 543?
535
In base 8, what is 3 + -13?
-10
In base 8, what is 3 + -7102?
-7077
In base 7, what is -14 + -352?
-366
In base 4, what is -10 - 131?
-201
In base 16, what is -5 - 6fb?
-700
In base 14, what is 5c0 - 4?
5ba
In base 8, what is -242 + 3?
-237
In base 5, what is -31 + 1132?
1101
In base 10, what is -31 - -41?
10
In base 7, what is 15 + 3?
21
In base 7, what is -4 + 655?
651
In base 14, what is -2 - -b7?
b5
In base 6, what is 4 + -1022?
-1014
In base 4, what is 21 - 223?
-202
In base 11, what is -316 + a?
-307
In base 4, what is 132 + -12?
120
In base 10, what is 2947 + 5?
2952
In base 14, what is -5 - 124b?
-1252
In base 2, what is 10000 - -1000001?
1010001
In base 12, what is -45 - -6?
-3b
In base 8, what is 6 + 20?
26
In base 4, what is -12 + 1233?
1221
In base 13, what is 31 - 1c1?
-190
In base 3, what is -10 + 1000010?
1000000
In base 14, what is 4 + ca?
d0
In base 15, what is 4 - 50?
-4b
In base 10, what is -4 + -65?
-69
In base 5, what is 1320 - -103?
1423
In base 12, what is 2 + 4b8?
4ba
In base 13, what is 4 + -1349?
-1345
In base 3, what is -11000 + 21202?
10202
In base 5, what is -33203 + -3?
-33211
In base 8, what is -2 - -116?
114
In base 14, what is 740 + 4?
744
In base 9, what is 4 - -18?
23
In base 5, what is 4 + -13030?
-13021
In base 15, what is -520 - 0?
-520
In base 15, what is -4 + -5?
-9
In base 14, what is 4 - -1a?
20
In base 14, what is 99 - -4?
9d
In base 10, what is 12 + 2?
14
In base 2, what is -11111001100 - 10?
-11111001110
In base 14, what is 328 - 4?
324
In base 7, what is 5 - 15?
-10
In base 13, what is 1 - 13?
-12
In base 7, what is 22 - -151?
203
In base 8, what is 7 + 45?
54
In base 5, what is -114 + -12?
-131
In base 16, what is 0 + 15?
15
In base 13, what is -4 + 804?
800
In base 6, what is 5144 - 3?
5141
In base 11, what is -5 + 186?
181
In base 3, what is 101 + 1120?
1221
In base 5, what is -1432 - 4?
-1441
In base 7, what is -4 + -1356?
-1363
In base 12, what is 12 - 31?
-1b
In base 5, what is 22 - 20?
2
In base 8, what is -10 + 14?
4
In base 3, what is -211010002 + 10?
-211002222
In base 14, what is 589 + b?
596
In base 2, what is -110110 + -100100?
-1011010
In base 6, what is 5 - 212?
-203
In base 7, what is -3266 + -1?
-3300
In base 13, what is -10 - -a?
-3
In base 3, what is -1221012 + 2?
-1221010
In base 10, what is -4 + -96?
-100
In base 8, what is 224 - 36?
166
In base 14, what is -81 - -5?
-7a
In base 13, what is 0 + 8?
8
In base 8, what is 0 - 216?
-216
In base 8, what is -40 + 16?
-22
In base 15, what is -52 - -4?
-4d
In base 16, what is -1c - -21?
5
In base 9, what is 133 + -5?
127
In base 11, what is -3 + -86?
-89
In base 6, what is -1015 - 0?
-1015
In base 7, what is -116 + -2?
-121
In base 6, what is -2 - 45?
-51
In base 4, what is -33 + 3123?
3030
In base 13, what is -2277 - 3?
-227a
In base 11, what is 17 - -48?
64
In base 7, what is -16 + -3?
-22
In base 7, what is -62 - -61?
-1
In base 7, what is -4366 - 3?
-4402
In base 11, what is -a - 2?
-11
In base 6, what is 541 + 2?
543
In base 6, what is 34 - -221?
255
In base 2, what is 101010 + -100010?
1000
In base 6, what is 233 - -22?
255
In base 11, what is -11 - 25?
-36
In base 6, what is -5 + 23?
14
In base 10, what is -451 + 2?
-449
In base 10, what is 1758 + -5?
1753
In base 8, what is 632 + 2?
634
In base 11, what is 17 + -10?
7
In base 9, what is 4 + 3?
7
In base 14, what is 1c0a + -5?
1c05
In base 7, what is -2255 - 0?
-2255
In base 12, what is -b - -56?
47
In base 3, what is -21 + -11?
-102
In base 2, what is 11 + -11000001?
-10111110
In base 12, what is -13 + -21?
-34
In base 12, what is -2 - -133?
131
In base 16, what is 2 + -12?
-10
In base 6, what is -2 - 52410?
-52412
In base 4, what is 2 - 102?
-100
In base 11, what is -301 + -4?
-305
In base 16, what is 4 + -7?
-3
In base 8, what is 33 - -3?
36
In base 10, what is 42 - 0?
42
In base 9, what is -2 + 6?
4
In base 13, what is -8 - 385?
-390
In base 2, what is 1010000 - 10?
1001110
In base 11, what is 0 - a56?
-a56
In base 2, what is -111010011 + -1010001?
-1000100100
In base 3, what is 112 + 110000?
110112
In base 2, what is 101 + -10000011?
-1111110
In base 4, what is 3011 + -1?
3010
In base 16, what is -736 - 4?
-73a
In base 15, what is 1 - 4?
-3
In base 16, what is 3 - -439?
43c
In base 7, what is 234 - 3?
231
In base 9, what is -1 - -2?
1
In base 3, what is 12 + 212?
1001
In base 3, what is -201212 + -1?
-201220
In base 3, what is -12202201 - 11?
-12202212
In base 15, what is c4 - -5?
c9
In base 8, what is 13 - 0?
13
In base 8, what is 10 - 167?
-157
In base 7, what is -61 + -135?
-226
In base 9, what is 5 - 170?
-164
In base 9, what is 5 - 1457?
-1452
In base 16, what is -58 - -8?
-50
In base 12, what is -53 - -4?
-4b
In base 4, what is 22133 - -1?
22200
In base 2, what is -1100000 + 1000?
-1011000
In base 12, what is -25 - -b?
-16
In base 4, what is 321111 + 1?
321112
In base 5, what is -121 + -44?
-220
In base 11, what is 2 + 1526?
1528
In base 7, what is 5 - 15?
-10
In base 13, what is a2 - b?
94
In base 13, what is 11b2 + -5?
11aa
In base 14, what is 0 + -1509?
-1509
In base 7, what is 153 - 10?
143
In base 6, what is 1335434 - 3?
1335431
In base 13, what is -18 + 2?
-16
In base 5, what is 1044 + -2?
1042
In base 5, what is 41 - -1211?
1302
In base 14, what is 0 + 1b?
1b
In base 12, what is 4 + -6?
-2
In base 5, what is -13 - 14?
-32
In base 14, what is -4 - 0?
-4
In base 12, what is 81 - -4?
85
In base 15, what is -4d8 - -3?
-4d5
In base 15, what is -1 - 58?
-59
In base 8, what is -2123 + -4?
-2127
In base 16, what is -7 - -20?
19
In base 10, what is 3 + -65?
-62
In base 2, what is 10 - -10100?
10110
In base 10, what is -3400 + 1?
-3399
In base 7, what is 545 - 0?
545
In base 9, what is 1 - 146?
-145
In base 4, what is -1203 - -10?
-1133
In base 3, what is 1 - -111102?
111110
In base 16, what is 16 + -3?
13
In base 12, what is 58 - 2?
56
In base 7, what is -1462 + -2?
-1464
In base 10, what is 1512 + 1?
1513
In base 12, what is a + 26?
34
In base 11, what is -14 - 2?
-16
In base 14, what is -5 + -287?
-28c
In base 15, what is -2d4 + -4?
-2d8
In base 8, what is 54 - 10?
44
In base 12, what is -2 - -bb6?
bb4
In base 10, what is 72 + 5?
77
In base 5, | {
"pile_set_name": "DM Mathematics"
} |
1723
-3244748 * -10
32447480
Calculate 9.863*-1656.
-16333.128
16986 * -10711
-181937046
What is -6919 times 19536?
-135169584
What is the product of -211813.0175 and -0.3?
63543.90525
Product of -0.51875 and 100.
-51.875
Work out -63.5436 * 195.
-12391.002
What is the product of -206656 and 3.19?
-659232.64
Product of 73961.1 and 31.
2292794.1
Product of -0.6 and 348653.
-209191.8
What is 3 times -0.06007076?
-0.18021228
Work out -9950.7 * -44.
437830.8
311192*33
10269336
Multiply 36.95272 and -1.4.
-51.733808
-129.76599 * 1
-129.76599
289.2 * 0.0569
16.45548
What is the product of -381.2498 and -81?
30881.2338
Work out -1 * -4040.59.
4040.59
Multiply 0.0337 and -0.125034.
-0.0042136458
Calculate -276773.1*-3.
830319.3
Product of -7651 and 0.3013.
-2305.2463
924 times 162872
150493728
-0.8 * -27923520
22338816
Product of 2177 and -2040.3.
-4441733.1
-99219 * -206
20439114
Multiply 2 and 2.0012822.
4.0025644
-184 times -0.78221
143.92664
What is -0.13 times 20875?
-2713.75
What is 5 times -2.9414?
-14.707
14005 * 15
210075
Product of 2 and 2230992.
4461984
Product of 210 and -3.224974.
-677.24454
Work out -1542 * -10333.
15933486
-43289 * -1.212
52466.268
What is the product of -0.04 and 574774?
-22990.96
What is the product of 1210432 and 0.12?
145251.84
What is the product of -0.17 and 11868.64?
-2017.6688
-0.14 times -6534729
914862.06
What is the product of -2678 and 0.3339?
-894.1842
Calculate -75*1639.32.
-122949
Product of 43451 and -568.
-24680168
What is 54407.0873 times -1?
-54407.0873
Product of -0.4 and 3555499.
-1422199.6
0.15597 times 220.3
34.360191
Multiply 2.044 and -200724.
-410279.856
130461823 * -6
-782770938
Product of 336.01 and -0.003.
-1.00803
What is 3162 times -35342?
-111751404
504.7 times 146.6
73989.02
Calculate -1*17394094.
-17394094
Product of 56548211 and 0.5.
28274105.5
Calculate -4*-80207143.
320828572
Multiply -0.49 and 1272.078.
-623.31822
106730 * -27
-2881710
6.7675*15.8
106.9265
-0.3 times 144851999
-43455599.7
What is -32.61 times 13.5?
-440.235
26 times -6031.6
-156821.6
-0.055*1275.87
-70.17285
-3*102118
-306354
2.8 * -0.936724
-2.6228272
-8934565 * -0.4
3573826
Product of -26160 and -307.
8031120
Multiply 470582 and -334.
-157174388
Multiply -466109 and 53.
-24703777
9 times 73918934
665270406
Work out 108384568 * 0.
0
What is the product of -0.154176 and -8.97?
1.38295872
What is the product of 0.363312 and 39?
14.169168
0.3 * -130.2526
-39.07578
What is -0.0872568 times -34?
2.9667312
Calculate -56591*-0.113.
6394.783
Multiply -436306323 and -0.4.
174522529.2
Product of 0.4 and -1.63737851.
-0.654951404
Product of 7.01 and -0.399348.
-2.79942948
Work out -32132.56 * -0.13.
4177.2328
Work out -123.4 * 34899.
-4306536.6
Work out -160 * 593.1642.
-94906.272
-5650084*-173
977464532
Product of -1.3 and -2689960.
3496948
4101444 * 6
24608664
What is the product of -1918363 and 0.57?
-1093466.91
Work out 945.5 * -5.
-4727.5
What is -3 times -13694432?
41083296
-16066.82*3
-48200.46
Product of -24106 and -0.7353.
17725.1418
Product of -203.392 and -0.1622.
32.9901824
20 * 154824
3096480
Calculate 0.0579*8114.
469.8006
What is the product of -132055 and -714?
94287270
29.048 times 20329
590516.792
What is -0.1 times -10.640126?
1.0640126
-1.87209 * -0.01
0.0187209
What is the product of 16501292 and -0.24?
-3960310.08
25 times 41559
1038975
What is the product of -0.049 and 12017.8?
-588.8722
What is the product of 42007 and -5?
-210035
-1.0180534*1.1
-1.11985874
Work out 48.95083 * -0.83.
-40.6291889
What is -0.11 times -0.294093?
0.03235023
381*18768
7150608
1176 * -0.9292
-1092.7392
-21.259986 times 4
-85.039944
What is the product of 29852929 and 5?
149264645
What is 195 times 594.232?
115875.24
Calculate 103.7*-48426.
-5021776.2
3*-25650.4
-76951.2
Work out 16640430 * -0.1.
-1664043
What is -8086 times -2.239?
18104.554
Multiply 155.081434 and 0.
0
Work out 7158.6 * -1080.
-7731288
Product of 6894579 and -2.
-13789158
Product of -0.06035 and -2707.5.
163.397625
-28 * -0.12914
3.61592
Work out 35058349 * 0.11.
3856418.39
-0.5 times 450102
-225051
-1 * 0.14789615
-0.14789615
Multiply 0 and 90.10806.
0
0 * -162.8552
0
What is 135 times 514797?
69497595
Multiply 124459.7 and -0.4.
-49783.88
What is -3.1052 times 0.951?
-2.9530452
103825324.3 * 3
311475972.9
Multiply -1 and 1955.7808.
-1955.7808
-10547*22402
-236273894
2*-0.4091866
-0.8183732
1121660*0.65
729079
Product of -27 and 24441.
-659907
What is -25 times -860.42?
21510.5
Product of 2741.15867 and 0.3.
822.347601
Product of -14643 and 2798.
-40971114
712319 * -56
-39889864
What is the product of -627 and 46953?
-29439531
Multiply -83329 and 1063.
-88578727
What is -0.03771 times 7437?
-280.44927
-1 * -253285337
253285337
Calculate -8.5*-2016.81.
17142.885
Multiply 283781 and -0.5.
-141890.5
Multiply -1725.0974 and -9.
15525.8766
What is -306045 times -0.28?
85692.6
What is the product of -0.647838 and -0.01?
0.00647838
Work out 1.98 * 0.57487.
1.1382426
What is -0.4 times -29161617?
11664646.8
-1529.7 * -22.18
33928.746
What is the product of -0.0447 and 9711?
-434.0817
-2*-90918870
181837740
What is -0.11 times 2094094?
-230350.34
Work out -21 * -23416.
491736
-578596 * -0.43
248796.28
Multiply -0.1921 and -0.006843.
0.0013145403
Product of 0.1 and -6419173.
-641917.3
Multiply -1.1 and 1219015.
-1340916.5
35560 times 0.078
2773.68
-0.13752842*-0.16
0.0220045472
Multiply 0.4 and 1166013.1.
466405.24
What is the product of -155.7 and -0.71753?
111.719421
-1.805285*-181
326.756585
What is the product of 0.4 and -935.284?
-374.1136
85.12 times -2781
-236718.72
Work out 5.83 * -0.7054.
-4.112482
Multiply 5420 and -3006.
-16292520
What is the product of -29980 and 129?
-3867420
Multiply 1220.71 and -0.082.
-100.09822
Work out 909.9 * 23385.
21278011.5
Work out 9490070 * -0.04.
-379602.8
Multiply 0.06923 and -0.7655.
-0.052995565
3.0765*-0.454
-1.396731
-0.959 * 0.13905
-0.13334895
Calculate 0.083*-127458.
-10579.014
-11 * -173415
1907565
108.65 * 494.43
53719.8195
Multiply 547939 and 9.
4931451
What is -39.537573 times -29?
1146.589617
0.35 * -587250
-205537.5
What is the product of 1.990567 and 72?
143.320824
0.0749 * -2538.8
-190.15612
0.3*-1800.2866
-540.08598
0.5 times -1019577
-509788.5
56663.97 * -1.5
-84995.955
2697 * 96.89
261312.33
Calculate -0.2*647735.8.
-129547.16
What is the product of 2 and 1.693034?
3.386068
Product of -11.76 and -3.382.
39.77232
-2610 * 263.57
-687917.7
Calculate 5077992*0.1.
507799.2
Multiply -5 and 1385834.
-6929170
Product of -14.93 and 13469.
-201092.17
What is the product of -4429.614 and 6.7?
-29678.4138
Work out 3.9 * 1783096.
6954074.4
Work out -14 * 1.380594.
-19.328316
What is the product of 0.0017172 and -191.5?
-0.3288438
1820.975 times -1.7
-3095.6575
-124214 times 14.2
-1763838.8
Multiply 7105407 and -52.
-369481164
Multiply -1113 and 0.0547084.
-60.8904492
Work out -15 * -35294532.
529417980
-2*77.3353
-154.6706
Work out -482715.77 * -5.
2413578.85
6949033*-4
-27796132
Multiply -2749075 and -5.
13745375
0.82144017*-0.3
-0.246432051
Calculate -33*4.1114.
-135.6762
Calculate -3*155883150.
-467649450
Multiply -38.85748 and -0.1.
3.885748
4 times 99.347
397.388
0.135 times -18419.52
-2486.6352
-163783872 times -0.5
81891936
Calculate 79313*4504.
357225752
Product of -5 and -3641666.
18208330
Work out -840 * 32.12.
-26980.8
Work out 2 * -117242.7.
-234485.4
Product of 16327611 and 6.
97965666
Calculate 4.76*3159.
15036.84
Work out 14464.46 * 30.
433933.8
What is -0.4 times 70783?
-28313.2
0 times -3056102
0
-3*129586
-388758
Work out -6350341 * -16.
101605456
3 times -101.37475
-304.12425
Product of 2 and -633.1151.
-1266.2302
17 times 19766248
336026216
Multiply 0.4 and -2057379.
-822951.6
-44.916 * -147.9
6643.0764
What is the product of -4191187 and -23?
96397301
Multiply 0.105197 and 0.26.
0.02735122
What is -2359 times 6133?
-14467747
What is the product of 581 and 8834?
5132554
-0.3 times 19307760
-5792328
What is -15738521 times 0.3?
-4721556.3
What is the product of -0.15 and -13331373?
1999705.95
3*-2501811.43
-7505434.29
Calculate -56485090*-0.3.
16945527
-0.1 * -13470408
1347040.8
Calculate -4301*-30.63.
131739.63
Work out 60.72659 * 59.
3582.86881
What is the product of 1005 and -4.19?
-4210.95
M | {
"pile_set_name": "DM Mathematics"
} |
2*sqrt(500)*-2 + -5.
-5 + 40*sqrt(5)
Simplify -3*(-4 + sqrt(171))**2.
-561 + 72*sqrt(19)
Simplify (sqrt(304) + 3 + sqrt(304) + 1)**2 + 4.
64*sqrt(19) + 1236
Simplify -6*sqrt(52)/sqrt(1296).
-sqrt(13)/3
Simplify (-6*(sqrt(19) + -5*(sqrt(19) + sqrt(57)/sqrt(3)) + 0 + sqrt(19)*-2))**2.
82764
Simplify -2*sqrt(25)/sqrt(5)*-4.
8*sqrt(5)
Simplify (sqrt(45) + -5)*-5.
-15*sqrt(5) + 25
Simplify 2*((sqrt(5082) + sqrt(5082)*3)/sqrt(6))**2.
27104
Simplify (sqrt(63)/((2*sqrt(81) - sqrt(81)) + sqrt(81) - sqrt(81)))**2.
7/9
Simplify ((sqrt(125) - (-4 + 0 + sqrt(125))) + -4)**2.
0
Simplify (sqrt(11) - (sqrt(11) + (-2*sqrt(99))/sqrt(9))**2) + sqrt(176)*6 + -5.
-16 + 25*sqrt(11)
Simplify 1 + -2 + sqrt(252) + sqrt(252) + 1.
12*sqrt(7)
Simplify 3 + sqrt(12)/sqrt(4) - 4*sqrt(15)/sqrt(5).
-3*sqrt(3) + 3
Simplify -3 + ((sqrt(153)*-2 - sqrt(153)) + sqrt(153) - sqrt(153)) + sqrt(153).
-6*sqrt(17) - 3
Simplify (0 + sqrt(153) + 3 + sqrt(153))**2.
36*sqrt(17) + 621
Simplify ((sqrt(56) - sqrt(56)*-1)*-3)/(sqrt(288)*-1).
sqrt(7)
Simplify -1 + (-1*sqrt(66))/sqrt(6)*-5.
-1 + 5*sqrt(11)
Simplify -3*(-2 + (sqrt(39)/sqrt(3) - sqrt(13)) + sqrt(208)*-1).
6 + 12*sqrt(13)
Simplify 4 + sqrt(768) + sqrt(768)*3.
4 + 64*sqrt(3)
Simplify sqrt(135)/sqrt(5) - (sqrt(18)/((sqrt(24)/sqrt(4) - sqrt(6)) + sqrt(6)) - sqrt(3)).
3*sqrt(3)
Simplify sqrt(567)*2*6.
108*sqrt(7)
Simplify (sqrt(3) + sqrt(21)/sqrt(252) - (-3 + -1 + sqrt(3)))**2.
4*sqrt(3)/3 + 193/12
Simplify (5 + -1*(sqrt(171) + -1) + 5)**2.
-66*sqrt(19) + 292
Simplify (3*sqrt(12)/sqrt(4) + (sqrt(192)*-1)**2)*3.
9*sqrt(3) + 576
Simplify ((sqrt(200) + -1 + sqrt(200))**2 - sqrt(2)) + 5.
-41*sqrt(2) + 806
Simplify (sqrt(84)*-2 + sqrt(84))/sqrt(12) - (sqrt(7) - (sqrt(224)/sqrt(4))/sqrt(8))**2.
-sqrt(7)
Simplify (sqrt(288) + -4*(sqrt(288) + 2))**2*-5.
-13280 - 2880*sqrt(2)
Simplify 1 + 1 + sqrt(34)/sqrt(2).
2 + sqrt(17)
Simplify (sqrt(380)/(sqrt(10)*2))/(sqrt(288)/sqrt(9)).
sqrt(19)/8
Simplify 3*(3 + sqrt(13) + -4).
-3 + 3*sqrt(13)
Simplify ((sqrt(21)*2 + sqrt(21))*-3)/(sqrt(84)/(2*sqrt(12))).
-18*sqrt(3)
Simplify -2 + (sqrt(3) + (sqrt(3) - sqrt(6)/sqrt(2)))**2 + 5 + sqrt(432).
6 + 12*sqrt(3)
Simplify sqrt(3)*-5*1*-6.
30*sqrt(3)
Simplify -2*sqrt(63)/(sqrt(9) + (sqrt(9) - sqrt(18)/sqrt(2)*-1) + sqrt(9)).
-sqrt(7)/2
Simplify ((sqrt(180) - 1*sqrt(180))/sqrt(3))/((1*sqrt(24))/sqrt(2)).
0
Simplify (2*(sqrt(245) + 0))**2.
980
Simplify -5 + sqrt(176) + -5 + sqrt(176) + -4.
-14 + 8*sqrt(11)
Simplify sqrt(7) + (sqrt(14)/sqrt(2) + sqrt(7))**2 + -3 + sqrt(63)/(sqrt(9)*3 - sqrt(9)).
3*sqrt(7)/2 + 25
Simplify (sqrt(891) + sqrt(891)*1 + -5)**2 + sqrt(891).
-171*sqrt(11) + 3589
Simplify (4*sqrt(153)*2*-4 + 1)**2.
-192*sqrt(17) + 156673
Simplify sqrt(264)/sqrt(6) + (sqrt(11) + -1 + 3)**2.
15 + 6*sqrt(11)
Simplify (2 + (sqrt(200)/sqrt(360))/sqrt(10))**2.
2*sqrt(2)/3 + 73/18
Simplify 3 + sqrt(75) + 3.
6 + 5*sqrt(3)
Simplify (-2 + (-2*sqrt(2299)*6 - sqrt(2299)))**2 + -1.
572*sqrt(19) + 388534
Simplify (0 + -1 + -2 + sqrt(1008))**2.
-72*sqrt(7) + 1017
Simplify (sqrt(133)*-1*5)/(-2*sqrt(847) + sqrt(847)).
5*sqrt(19)/11
Simplify (sqrt(3744)*2)/(sqrt(12)/(sqrt(12)/sqrt(2) + sqrt(6) + sqrt(6))) + -3.
-3 + 72*sqrt(13)
Simplify -1 + sqrt(720) + -3.
-4 + 12*sqrt(5)
Simplify (sqrt(171) + (sqrt(171) - (2 + sqrt(171)))*-3 - sqrt(171))**2.
36
Simplify (sqrt(39)/(-6*(sqrt(243) + sqrt(3) + sqrt(3))))**2.
13/4356
Simplify -2*(-3 + sqrt(20)).
-4*sqrt(5) + 6
Simplify -2*(sqrt(5) - -1*sqrt(45) - sqrt(5)*-1*3)**2.
-490
Simplify (6*sqrt(11)*1 - (-1 + sqrt(99)))**2.
6*sqrt(11) + 100
Simplify sqrt(11)*1 + sqrt(11) + 5 - -6*sqrt(176).
5 + 26*sqrt(11)
Simplify sqrt(11) + sqrt(99)/(2*sqrt(9)) - (-2*sqrt(11) + 5).
-5 + 7*sqrt(11)/2
Simplify ((1*sqrt(121)*-5)/sqrt(11) - (2*sqrt(99))/sqrt(9)*-6)**2.
539
Simplify (5 + sqrt(80) + (sqrt(5) + sqrt(80))*2)**2.
140*sqrt(5) + 1005
Simplify (1 + 2 + sqrt(76)*1)**2.
12*sqrt(19) + 85
Simplify (-6*3*sqrt(112) + sqrt(112) - (-4*(sqrt(112) + -3) + sqrt(112)))**2.
1344*sqrt(7) + 22096
Simplify -1 + (1 + sqrt(68) - sqrt(153)*-2)**2.
16*sqrt(17) + 1088
Simplify ((-2*sqrt(168))/sqrt(8))/(sqrt(432)*1).
-sqrt(7)/6
Simplify (-3 + (1 + sqrt(720) + sqrt(720) - sqrt(720))*-1 + sqrt(720) + (-1 + sqrt(720) + sqrt(720))*-1 + sqrt(720))**2.
72*sqrt(5) + 729
Simplify (sqrt(612) - (0 + sqrt(612) + 5) - sqrt(612))**2.
60*sqrt(17) + 637
Simplify 2*sqrt(20) + 1.
1 + 4*sqrt(5)
Simplify (sqrt(36)/sqrt(3)*-5)/sqrt(4).
-5*sqrt(3)
Simplify 2*((0 + 2*sqrt(704))*4)**2.
90112
Simplify (6*sqrt(912))/sqrt(3) - ((sqrt(19) - (sqrt(19) + 1))**2*6 - (sqrt(57)/sqrt(3) + sqrt(19) + 4)).
-2 + 26*sqrt(19)
Simplify (sqrt(1800)*2 - sqrt(1800))/(sqrt(9) + sqrt(54)/sqrt(6)*-3).
-5*sqrt(2)
Simplify sqrt(27)*2*2.
12*sqrt(3)
Simplify (-2*((1 + sqrt(847) + sqrt(847))*-5 - (1*sqrt(847) + -4)))**2.
968*sqrt(7) + 409952
Simplify -5 + 1*sqrt(5) + sqrt(5) + sqrt(25)/sqrt(5) + 3.
-2 + 3*sqrt(5)
Simplify (sqrt(28) + 2 + sqrt(567)*-1 + sqrt(567))**2.
8*sqrt(7) + 32
Simplify sqrt(170)/(sqrt(10)*-1) - (sqrt(153) - (sqrt(153) + -1))**2 - ((sqrt(68) - (-2*sqrt(68) - sqrt(68))*4) + sqrt(68))**2.
-13329 - sqrt(17)
Simplify (((-2*sqrt(108) - sqrt(3)) + (sqrt(9)*-1)/sqrt(3))*-3)**2.
5292
Simplify sqrt(68) + 1 + 1*sqrt(34)/sqrt(2).
1 + 3*sqrt(17)
Simplify (sqrt(170) + (sqrt(170) - (sqrt(170)*1 + sqrt(170)))*-4 + sqrt(170))/(-5*(sqrt(160) - sqrt(10))).
-2*sqrt(17)/5
Simplify sqrt(14)/(2*sqrt(200)).
sqrt(7)/20
Simplify (-5 + 3 + sqrt(14)/sqrt(162))**2.
-4*sqrt(7)/9 + 331/81
Simplify (sqrt(44) + sqrt(176)/(sqrt(4) - (sqrt(8)/sqrt(2) + sqrt(4)) - sqrt(4)))/(sqrt(28)/(-2*sqrt(7) - sqrt(7))).
-3*sqrt(11)/2
Simplify 4*(sqrt(1900)*2)**2*-2*-3.
182400
Simplify -1*(sqrt(125) - (-6*(sqrt(125) + ((sqrt(125) + -1)**2 - sqrt(125))) - sqrt(125))).
-756 + 50*sqrt(5)
Simplify (((sqrt(224) - sqrt(224)*-1) + sqrt(224))/sqrt(7)*4)**2.
4608
Simplify (2*(sqrt(833) - (sqrt(833) - (sqrt(833) - -2*(-1 + sqrt(833)))))*1)**2.
-336*sqrt(17) + 30004
Simplify sqrt(70)/sqrt(640) + 5.
sqrt(7)/8 + 5
Simplify -6*-2*sqrt(3) + (sqrt(48))**2.
12*sqrt(3) + 48
Simplify (sqrt(7) + -5 + sqrt(7) + 5 + 5 + sqrt(7) + 5)**2.
60*sqrt(7) + 163
Simplify ((-2*sqrt(300))/(sqrt(12)/(sqrt(12)/sqrt(4))))**2 + 1.
301
Simplify sqrt(72) + ((-5 + sqrt(72)*-1)**2 - sqrt(72)) + 2.
60*sqrt(2) + 99
Simplify (sqrt(153) + -4*sqrt(153)*2)/(((1*sqrt(99) - sqrt(99)) + sqrt(99))/sqrt(11)).
-7*sqrt(17)
Simplify (3*-6*sqrt(2)*-1*-3)**2.
5832
Simplify ((sqrt(150) + sqrt(6))*-1)/(sqrt(3)*-3*-5).
-2*sqrt(2)/5
Simplify (5*-4*-2*1*sqrt(1900))**2.
3040000
Simplify (sqrt(50)*-2)**2 + 1 + (sqrt(2) + sqrt(2)*2)**2.
219
Simplify sqrt(143)/(sqrt(11) + sqrt(121)/(sqrt(11) + sqrt(99)))*-4.
-16*sqrt(13)/5
Simplify (4 + -5*sqrt(1088)*3)**2.
-960*sqrt(17) + 244816
Simplify ((sqrt(864) - sqrt(864)*-1)/((sqrt(2) + sqrt(2)*2)*1))**2.
192
Simplify -3 + sqrt(13) + sqrt(13) + sqrt(78)/sqrt(150).
-3 + 11*sqrt(13)/5
Simplify (6*(sqrt(363) + sqrt(363) + 1 + (sqrt(3) - sqrt(24)/(sqrt(16)/sqrt(2)))))**2.
1584*sqrt(3) + 52308
Simplify (5*2*sqrt(85) + sqrt(85))/sqrt(5).
11*sqrt(17)
Simplify ((sqrt(44) + sqrt(2156))/sqrt(2))/((sqrt(2) + (sqrt(50) - sqrt(2)))*6).
4*sqrt(11)/15
Simplify ((sqrt(14) + -1*sqrt(14))/sqrt(7) - sqrt(72)*2)**2.
288
Simplify sqrt(152)/(sqrt(8) + (sqrt(32)/sqrt(4) - sqrt(8)))*-5.
-5*sqrt(19)
Simplify ((-3 + sqrt(13)*-2)*-1)**2 + 5.
12*sqrt(13) + 66
Simplify (-2*sqrt(171)*-2)/sqrt(9).
4*sqrt(19)
Simplify (sqrt(30)/sqrt(3))/sqrt(2)*-5.
-5*sqrt(5)
Simplify (sqrt(21)*2)/sqrt(3)*4*-6.
-48*sqrt(7)
Simplify (sqrt(24)*-1)/(sqrt(243)/sqrt(9)).
-2*sqrt(2)/3
Simplify -4 + sqrt(567) + -1 + 1 + 5 + (sqrt(567) - -1*sqrt(567))**2.
9*sqrt(7) + 2269
Simplify -4 + 0 + -6*(sqrt(19)*-2)**2.
-460
Simplify (1*(-1 + 2*sqrt(112)))**2*1.
-16*sqrt(7) + 449
Simplify (sqrt(25) + sqrt(50)/sqrt(2) - sqrt(25))/sqrt(5) + (sqrt(90)/sqrt(3))/sqrt(6) + (-5 + -1 + sqrt(180))**2.
-70*sqrt(5) + 216
Simplify sqrt(3)*-2 + 5 + 4 - (2*sqrt(27)*1)**2.
-99 - 2*sqrt(3)
Simplify 2*((-5*(sqrt(66) + sqrt(66)*-1 + sqrt(66)) - sqrt(66))/(sqrt(6) - (sqrt(216)*1 - sqrt(216))))**2.
792
Simplify 5*-4*(sqrt(19)*1*2 - sqrt(19) - sqrt(209)/(sqrt(11) + sqrt(33)/sqrt(3))).
-10*sqrt(19)
Simplify (sqrt(76) - -6*(sqrt(76) + 1))**2*-4.
-15040 - 672*sqrt(19)
Simplify (-4 + sqrt(475) + 0)*-4.
-20*sqrt(19) + 16
Simplify -1 + (-5*(sqrt(77) - (-2*s | {
"pile_set_name": "DM Mathematics"
} |
?
2, 19, 103
List the prime factors of 2756.
2, 13, 53
What are the prime factors of 99201?
3, 43, 769
What are the prime factors of 866?
2, 433
List the prime factors of 2646.
2, 3, 7
What are the prime factors of 7611?
3, 43, 59
What are the prime factors of 434?
2, 7, 31
What are the prime factors of 52?
2, 13
What are the prime factors of 154113?
3, 47, 1093
List the prime factors of 96697.
96697
List the prime factors of 127375.
5, 1019
What are the prime factors of 976?
2, 61
List the prime factors of 687.
3, 229
List the prime factors of 672.
2, 3, 7
List the prime factors of 59855.
5, 11971
List the prime factors of 28867.
28867
List the prime factors of 1726.
2, 863
What are the prime factors of 30997?
139, 223
What are the prime factors of 11721?
3, 3907
List the prime factors of 1840.
2, 5, 23
List the prime factors of 68604.
2, 3, 5717
What are the prime factors of 8134?
2, 7, 83
What are the prime factors of 84449?
84449
What are the prime factors of 57?
3, 19
List the prime factors of 2554.
2, 1277
What are the prime factors of 3997?
7, 571
List the prime factors of 4738.
2, 23, 103
List the prime factors of 8442.
2, 3, 7, 67
What are the prime factors of 3481?
59
List the prime factors of 12131.
7, 1733
What are the prime factors of 36628?
2, 9157
What are the prime factors of 3909?
3, 1303
List the prime factors of 551.
19, 29
List the prime factors of 1100.
2, 5, 11
What are the prime factors of 63964?
2, 15991
What are the prime factors of 8951?
8951
List the prime factors of 1692.
2, 3, 47
What are the prime factors of 439?
439
List the prime factors of 10524.
2, 3, 877
List the prime factors of 42866.
2, 21433
What are the prime factors of 11185?
5, 2237
List the prime factors of 2681.
7, 383
What are the prime factors of 23908?
2, 43, 139
List the prime factors of 3726.
2, 3, 23
List the prime factors of 452.
2, 113
List the prime factors of 39196.
2, 41, 239
What are the prime factors of 54568?
2, 19, 359
List the prime factors of 29417.
23, 1279
What are the prime factors of 13672?
2, 1709
What are the prime factors of 143526?
2, 3, 19, 1259
List the prime factors of 1517.
37, 41
List the prime factors of 2276.
2, 569
List the prime factors of 1068.
2, 3, 89
List the prime factors of 63458.
2, 31729
List the prime factors of 2190.
2, 3, 5, 73
What are the prime factors of 2604?
2, 3, 7, 31
What are the prime factors of 13765?
5, 2753
What are the prime factors of 5502?
2, 3, 7, 131
List the prime factors of 76674.
2, 3, 13, 983
What are the prime factors of 6307?
7, 17, 53
List the prime factors of 691.
691
List the prime factors of 36747.
3, 1361
What are the prime factors of 2879?
2879
What are the prime factors of 4584?
2, 3, 191
What are the prime factors of 7389?
3, 821
What are the prime factors of 3743?
19, 197
What are the prime factors of 15428?
2, 7, 19, 29
List the prime factors of 15038.
2, 73, 103
What are the prime factors of 16604?
2, 7, 593
What are the prime factors of 132194?
2, 157, 421
List the prime factors of 788.
2, 197
What are the prime factors of 8340?
2, 3, 5, 139
List the prime factors of 1235.
5, 13, 19
List the prime factors of 402.
2, 3, 67
What are the prime factors of 1627?
1627
What are the prime factors of 788?
2, 197
List the prime factors of 3515.
5, 19, 37
List the prime factors of 580.
2, 5, 29
List the prime factors of 55419.
3, 7, 13, 29
What are the prime factors of 1241?
17, 73
List the prime factors of 6120.
2, 3, 5, 17
What are the prime factors of 26684?
2, 7, 953
List the prime factors of 77553.
3, 7, 1231
What are the prime factors of 1999?
1999
What are the prime factors of 4471?
17, 263
List the prime factors of 478.
2, 239
List the prime factors of 1169.
7, 167
List the prime factors of 1561.
7, 223
What are the prime factors of 22?
2, 11
What are the prime factors of 5571?
3, 619
What are the prime factors of 7903?
7, 1129
What are the prime factors of 4352?
2, 17
List the prime factors of 1406.
2, 19, 37
What are the prime factors of 885?
3, 5, 59
What are the prime factors of 11402?
2, 5701
What are the prime factors of 2422?
2, 7, 173
What are the prime factors of 49748?
2, 12437
List the prime factors of 2354.
2, 11, 107
List the prime factors of 25299.
3, 937
What are the prime factors of 164?
2, 41
List the prime factors of 153802.
2, 11, 6991
List the prime factors of 47906.
2, 17, 1409
What are the prime factors of 7442?
2, 61
What are the prime factors of 1752?
2, 3, 73
What are the prime factors of 1145?
5, 229
List the prime factors of 6527.
61, 107
What are the prime factors of 15323?
7, 11, 199
What are the prime factors of 7226?
2, 3613
List the prime factors of 17739.
3, 73
List the prime factors of 3170.
2, 5, 317
List the prime factors of 6836.
2, 1709
What are the prime factors of 33942?
2, 3, 5657
What are the prime factors of 8898?
2, 3, 1483
List the prime factors of 1153.
1153
List the prime factors of 1860.
2, 3, 5, 31
What are the prime factors of 299?
13, 23
What are the prime factors of 11422?
2, 5711
What are the prime factors of 1075?
5, 43
What are the prime factors of 5317?
13, 409
List the prime factors of 1504.
2, 47
List the prime factors of 10881.
3, 13, 31
What are the prime factors of 32443?
32443
List the prime factors of 1066.
2, 13, 41
List the prime factors of 7802.
2, 47, 83
List the prime factors of 32842.
2, 16421
List the prime factors of 18662.
2, 7, 31, 43
List the prime factors of 36737.
17, 2161
What are the prime factors of 1439?
1439
List the prime factors of 32.
2
List the prime factors of 526.
2, 263
What are the prime factors of 2283?
3, 761
What are the prime factors of 39385?
5, 7877
List the prime factors of 70135.
5, 13, 83
List the prime factors of 1158.
2, 3, 193
List the prime factors of 353.
353
List the prime factors of 81772.
2, 20443
What are the prime factors of 2803?
2803
List the prime factors of 2613.
3, 13, 67
List the prime factors of 9094.
2, 4547
List the prime factors of 1695.
3, 5, 113
List the prime factors of 2566.
2, 1283
What are the prime factors of 12598?
2, 6299
What are the prime factors of 5900?
2, 5, 59
What are the prime factors of 35425?
5, 13, 109
List the prime factors of 5790.
2, 3, 5, 193
What are the prime factors of 27093?
3, 11, 821
List the prime factors of 11066.
2, 11, 503
What are the prime factors of 814?
2, 11, 37
List the prime factors of 11204.
2, 2801
What are the prime factors of 5951?
11, 541
What are the prime factors of 1423?
1423
What are the prime factors of 2285?
5, 457
List the prime factors of 16245.
3, 5, 19
What are the prime factors of 69547?
17, 4091
List the prime factors of 50792.
2, 7, 907
List the prime factors of 21036.
2, 3, 1753
List the prime factors of 911.
911
List the prime factors of 659.
659
What are the prime factors of 2067?
3, 13, 53
What are the prime factors of 36961?
23, 1607
What are the prime factors of 8042?
2, 4021
List the prime factors of 926.
2, 463
List the prime factors of 32218.
2, 89, 181
List the prime factors of 1604.
2, 401
What are the prime factors of 1319?
1319
What are the prime factors of 20657?
7, 13, 227
What are the prime factors of 107971?
107971
What are the prime factors of 10648?
2, 11
What are the prime factors of 252?
2, 3, 7
What are the prime factors of 32483?
11, 2953
What are the prime factors of 134577?
3, 19, 787
List the prime factors of 976.
2, 61
List the prime factors of 113059.
167, 677
What are the prime factors of 494?
2, 13, 19
What are the prime factors of 172000?
2, 5, 43
List the prime factors of 18619.
43, 433
What are the prime factors of 3330?
2, 3, 5, 37
What are the prime factors of 35862?
2, 3, 43, 139
What are the prime factors of 1151?
1151
What are the prime factors of 2826?
2, 3, 157
List the prime factors of 3386.
2, 1693
List the prime factors of 6664.
2, 7, 17
What are the prime factors of 18002?
2, 9001
What are the prime factors of 1759?
1759
What are the prime factors of 5628?
2, 3, 7, 67
List the prime factors of 11588.
2, 2897
What are the prime factors of 3166?
2, 1583
List the prime factors of 213.
3, 71
List the prime factors of 979.
11, 89
List the prime factors of 56028.
2, 3, 7, 23, 29
List the prime factors of 6031.
37, 163
List the prime factors of 668.
2, 167
Lis | {
"pile_set_name": "DM Mathematics"
} |
-12*m**3
Collect the terms in 2*w**3 - 16212528 + 16212528.
2*w**3
Collect the terms in -1 - 14*g**2 + 36*g + 14*g + 107*g**2.
93*g**2 + 50*g - 1
Collect the terms in -5014885082 + 4*z + 5014885082.
4*z
Collect the terms in -49*v + 49*v + 15950*v**3.
15950*v**3
Collect the terms in 7 + 10*r**2 - 4*r - 19*r + 7*r**2 - 52*r.
17*r**2 - 75*r + 7
Collect the terms in 16816*x - 2195*x**2 - 16816*x.
-2195*x**2
Collect the terms in -84*w**2 - 1 + 265*w**2 + 1 + 222*w**2.
403*w**2
Collect the terms in -379 + 758 - 379 - 92*u.
-92*u
Collect the terms in -20 + 20 - 945*j**2 + 959*j**2.
14*j**2
Collect the terms in 17*f**2 + 2*f**2 + 49*f**3 - 19*f**2 + 51*f**3.
100*f**3
Collect the terms in 268*i**3 - 542*i**3 + 266*i**3.
-8*i**3
Collect the terms in -7*g - 68*g**2 + 6*g - 27*g**2 - 5*g.
-95*g**2 - 6*g
Collect the terms in -3*f + 2*f + 34 - 4*f - 292 + 3*f.
-2*f - 258
Collect the terms in 10*i**3 - 32*i**3 + 9*i**3 + 0*i**3 + 8*i**3.
-5*i**3
Collect the terms in -3196*d + 6402*d - 3199*d.
7*d
Collect the terms in -28*v**3 - 2418*v**2 + 809*v**2 + 807*v**2 + 802*v**2.
-28*v**3
Collect the terms in -355 + 355 + 24187*v**3.
24187*v**3
Collect the terms in -185*r - 96*r - 43 + 44 + 47*r.
-234*r + 1
Collect the terms in 69*a**2 + 1241*a - 2474*a + 1233*a.
69*a**2
Collect the terms in 4*g**2 - 159*g + 159*g - 3*g**2 + 4809*g**3 - 2.
4809*g**3 + g**2 - 2
Collect the terms in -491*h**2 - h + h + 6579*h**2.
6088*h**2
Collect the terms in 2005*h**3 - 15 - 1998*h**3 + 15.
7*h**3
Collect the terms in -24*g**3 - 122 - 118 + 240.
-24*g**3
Collect the terms in -6*w**2 + 6*w**2 - 55*w**3 + 296 + 25*w**3 + 28*w**3.
-2*w**3 + 296
Collect the terms in 10064*d - 10064*d + 40 - 4*d**2 - 40.
-4*d**2
Collect the terms in -18*i + 1 + 4 - 10 - 5.
-18*i - 10
Collect the terms in 1042*v**3 - 2161*v**3 + 1124*v**3.
5*v**3
Collect the terms in -p**3 - 98*p - 224*p + 322*p + 3*p**3.
2*p**3
Collect the terms in v + 1869*v**3 - v + 2304*v**3 - 4178*v**3.
-5*v**3
Collect the terms in -37*g**2 - 37*g**2 + 80*g**2 - 42*g**2.
-36*g**2
Collect the terms in -10*t**3 - 7*t**3 + 184*t**3.
167*t**3
Collect the terms in 109168*a**2 + 107803*a**2 - 61945*a**2.
155026*a**2
Collect the terms in -14 - 10 - 4*k**2 + 35 - 37*k**2.
-41*k**2 + 11
Collect the terms in -10 + 20 - 625*z + 14.
-625*z + 24
Collect the terms in 23*m**2 - 53*m - m**2 - 31*m + 84*m.
22*m**2
Collect the terms in -1820 + 1819 + 447*r - 136*r.
311*r - 1
Collect the terms in -62 + 8*u + 24 + 2*u**3 - 8*u + 38.
2*u**3
Collect the terms in 325 + 295 - 7*q + 4*q - 610.
-3*q + 10
Collect the terms in 8*t**2 - 88*t + 9*t**2 - 5*t**2 + 88*t - 17*t**2.
-5*t**2
Collect the terms in -82*g + 82*g - 6*g**3 - 12*g**3 + 3*g**3 - 8*g**3.
-23*g**3
Collect the terms in -172*c**2 + 31 + 338*c**2 - 167*c**2.
-c**2 + 31
Collect the terms in -6*l**2 - 73*l**2 + 59*l**2.
-20*l**2
Collect the terms in -52 + 116*k**2 - 88 - 116*k**2 + 140 - 2*k**3.
-2*k**3
Collect the terms in 65*j**3 + 14*j**3 - 532 - 38*j**3 - 44*j**3.
-3*j**3 - 532
Collect the terms in -1545*z + 27*z + 100*z.
-1418*z
Collect the terms in -10*f + 25 + 8*f - f - 2*f + 4*f.
-f + 25
Collect the terms in 191*b**2 - 191*b**2 + 475*b**3.
475*b**3
Collect the terms in y**2 + 16 + 35*y**3 - 12*y**3 - 76*y**3.
-53*y**3 + y**2 + 16
Collect the terms in -27*f - 28*f - 17*f + 68*f.
-4*f
Collect the terms in -8*u + 50 - 11 - 21 - 18.
-8*u
Collect the terms in 10 - 1 - 30233404*v + v**3 - 9 + 30233404*v.
v**3
Collect the terms in -173*i**3 - 3*i**2 - 6 + 7*i**2 + 1 + 4.
-173*i**3 + 4*i**2 - 1
Collect the terms in -106*m + 23 + m**3 - 22 + 106*m - 3*m**3 + 0*m**3.
-2*m**3 + 1
Collect the terms in 37*l + 121*l + 14 - 14 - 36*l.
122*l
Collect the terms in -12224147*m + 12224147*m - m**2.
-m**2
Collect the terms in -2692*x**2 - 6*x**3 - 5*x**3 + 2692*x**2 - 3*x**3.
-14*x**3
Collect the terms in -701*u**2 - 724*u**2 - 116*u**2 + 279*u**2.
-1262*u**2
Collect the terms in 10*o**3 + 0*o**3 + 9*o**3 - 6*o**3 + 7*o**3 - 15*o**3.
5*o**3
Collect the terms in 3 - 3 + 1375*i**3 - 638*i**3 - 615*i**3 - 143*i**3.
-21*i**3
Collect the terms in 33*y**3 - 1935 + 1935.
33*y**3
Collect the terms in 4 - 16 + 12 + 27*o**2 + 13*o**3 - 35*o**2.
13*o**3 - 8*o**2
Collect the terms in 11114*s**2 - 22225*s**2 + 7 + 11115*s**2.
4*s**2 + 7
Collect the terms in -4654*b**2 + 2404*b**2 + 2893*b**2.
643*b**2
Collect the terms in -45*h**3 - 5*h + 2*h - 102*h**3 + 3*h.
-147*h**3
Collect the terms in -3947*s + 73*s + 79*s.
-3795*s
Collect the terms in -17*g + 57*g - 20*g - 4*g**3 - 13*g - 7*g.
-4*g**3
Collect the terms in -449765 + 449765 - 35*u**2.
-35*u**2
Collect the terms in -259356 + 259356 - 53*v**2.
-53*v**2
Collect the terms in 50*o**3 - 313*o**2 + 313*o**2.
50*o**3
Collect the terms in -107*y**3 + 1 - 1 - 3*y**3 + 20*y**3.
-90*y**3
Collect the terms in b - b + 10007295 + 13*b**2 - 10007295.
13*b**2
Collect the terms in 480*v + 4*v**2 - 239*v - 9*v**2 - 241*v.
-5*v**2
Collect the terms in -11 - 4*n - 8 + 19.
-4*n
Collect the terms in 194*m**3 + 935*m**3 - 132*m**3 - m.
997*m**3 - m
Collect the terms in 22 - 3*l + 149 + 47 + 178.
-3*l + 396
Collect the terms in 14*v + 20*v - 8*v + 5*v + 0*v.
31*v
Collect the terms in -3003*s**3 + 1601*s**3 + 1396*s**3.
-6*s**3
Collect the terms in -21 + 41*u**3 - 150*u**3 + 21.
-109*u**3
Collect the terms in -2*d - 5*d**2 + 2*d - 35*d**2.
-40*d**2
Collect the terms in -16*c - 23*c - 7*c + 47*c - 8*c - 12*c.
-19*c
Collect the terms in 149 - 149 - 1113*x**2.
-1113*x**2
Collect the terms in 1 - 29157*k - 1 + 29153*k.
-4*k
Collect the terms in -10*m**3 + 15*m**3 + 247*m**2 + 2*m**3 - 247*m**2 - 41.
7*m**3 - 41
Collect the terms in -28*s - 32*s - 258 + 259.
-60*s + 1
Collect the terms in -437*y**2 - 443*y**2 + 879*y**2.
-y**2
Collect the terms in -960*j + 126 + 78 + 964*j.
4*j + 204
Collect the terms in 2396 + 18*n + 2393 - 7180 + 2391.
18*n
Collect the terms in 241*v + 59*v + 275*v - 372*v.
203*v
Collect the terms in -2 - 125*w**2 - 4346*w**3 + 3 + 125*w**2.
-4346*w**3 + 1
Collect the terms in -448*t**2 + 1807*t**2 - 448*t**2 - 452*t**2 - 466*t**2.
-7*t**2
Collect the terms in 115*b**2 - 181*b**2 - 220*b**2.
-286*b**2
Collect the terms in 70*k**3 - 810*k**3 - 116*k**3.
-856*k**3
Collect the terms in 2972*w**2 - 1475*w**2 - 1501*w**2.
-4*w**2
Collect the terms in -1011*c**2 + 3 - 2 + 1061*c**2.
50*c**2 + 1
Collect the terms in -77*l**3 + 8*l**3 + 67*l**3.
-2*l**3
Collect the terms in -31*n - 98*n + 0 - 27*n - n - 1.
-157*n - 1
Collect the terms in 41 - q**2 - 2*q + 44 - 85.
-q**2 - 2*q
Collect the terms in -66*s - 53*s**3 + 47*s + 19*s.
-53*s**3
Collect the terms in 8*a**2 - 5*a**2 - 11*a**2 - 5*a**2 - 3*a**2 - 9*a**2.
-25*a**2
Collect the terms in -48 + 22 + 17 + 19 - j + 2.
-j + 12
Collect the terms in -17*i + 1 - 67*i - 133*i.
-217*i + 1
Collect the terms in 601 - 107*g + 608 - 1210.
-107*g - 1
Collect the terms in -70*z - 73*z + 5 + 225*z - 77*z.
5*z + 5
Collect the terms in 17 + 40 + 44 - 101 - 6*m**2.
-6*m**2
Collect the terms in -2424*w + 2413*w + 25 - 25.
-11*w
Collect the terms in -4*m**2 + 54 - 19*m**3 + m**2 + 17*m**3.
-2*m**3 - 3*m**2 + 54
Collect the terms in 11*j**2 - 4*j**2 + 37*j**3 - 7*j**2 - 98*j**3.
-61*j**3
Collect the terms in 1465*f**3 + 1414*f**3 - 4348*f**3 + 1464*f**3.
-5*f**3
Collect the terms in -2755*v + 1417*v + 1353*v.
15*v
Collect the terms in -291*z + 134*z + 142*z.
-15*z
Collect the terms in 13 + 0*o**3 + 5*o**3 + 12.
5*o**3 + 25
Collect the terms in -8*z**2 + 691 + 6*z**3 - 1419 + 8*z**2 + 728.
6*z**3
Collect the terms in -11*b**2 + 2*b**2 - 2*b**2 - 6*b**2 - 5*b**2 + 19*b**2.
-3*b**2
Collect the terms in 4113 - 5*t**3 - 4113.
-5*t**3
Collect the terms in -89*l**3 - 44*l**3 + 47*l**3 + 34*l**3 - 88*l**3.
-140*l**3
Collect the terms in -5*r + 15*r - 38*r**2 + 16*r**2 - 8*r.
-22*r**2 + 2*r
Collect the terms in 692*g + 563*g - 319*g.
936*g
Collect the terms in 8*s + 623*s**2 - 8*s - 589*s**2.
34*s**2
Collect the terms in -65280*s**2 + 65280*s**2 + 271*s**3.
271*s**3
Collect the terms in -15821*t + 14 - 19374*t - 14.
-35195*t
Collect the terms in 687*i - 1295*i - 8*i**2 + 694*i.
-8*i**2 + 86*i
Collect the terms in 14*h**2 - 18*h**2 + 15*h**2 - 21*h**2.
-10*h**2
Collect the terms in 132*u - 52*u + 139*u.
219*u
Collect the terms in -35*v - 144*v - 38*v - 32*v.
-249*v
C | {
"pile_set_name": "DM Mathematics"
} |
) - 33*i(m).
11*m**2
Let w be (-112)/(-24)*((-45)/6)/5. Let u(g) = -26*g**3 + 7*g + 13. Let k(m) = 13*m**3 - 3*m - 6. Give w*k(s) - 3*u(s).
-13*s**3 + 3
Let b(o) = 28*o - 741. Let i(f) = 12*f - 247. Determine -3*b(y) + 8*i(y).
12*y + 247
Let k(x) = 145469*x**3 - 204*x**2 - 102*x + 102. Let d(f) = -7096*f**3 + 10*f**2 + 5*f - 5. Give 102*d(w) + 5*k(w).
3553*w**3
Let h(o) = 1. Let j(a) = 39*a**2 - 3. Let y(g) = -g**3 - 23*g**2 - 39*g - 375. Let b be y(-22). Calculate b*j(q) - 3*h(q).
-39*q**2
Let q(h) = -4889626*h**3 + 30947*h**2 - 8842*h. Let r(a) = 4425*a**3 - 28*a**2 + 8*a. What is -4*q(x) - 4421*r(x)?
-4421*x**3
Let b = -248 + 253. Let m(k) = -6*k + 7. Suppose 2*o + 12 = 6. Let q be (-6)/(-15) - o/5. Let v(f) = f - 1. Give b*v(h) + q*m(h).
-h + 2
Let h(x) be the first derivative of -x**2/2 - x + 1. Let b(n) = -253*n + 28. Let p be b(-4). Let w = p + -1035. Let y(o) = 4*o + 3. Determine w*h(z) + y(z).
-z - 2
Let t be 4*2*(-9)/24. Let g(h) = -6*h**2 - 3*h. Let b(w) = 7*w**2 + 4*w - 1. Let o be -7 - (-5)/(20/13) - (-5)/(-20). Give o*g(x) + t*b(x).
3*x**2 + 3
Let q(i) = i**3 - i - 1. Let c(v) = v**3 - 3*v - 3. Let h be ((-16)/(-10))/(18/1035). Suppose -26*z = -3*z + h. Calculate z*q(x) + c(x).
-3*x**3 + x + 1
Let s(w) = 11*w**3 + 7*w**2 - 4*w + 1. Let x(r) be the third derivative of -r**6/12 - r**5/10 + r**4/8 - r**3/6 - 1278*r**2. Calculate -3*s(v) - 4*x(v).
7*v**3 + 3*v**2 + 1
Let t(v) = -434*v - 50. Let s(u) = -36*u + 1. Give -12*s(b) + t(b).
-2*b - 62
Let p(t) = t**3 + 7*t + 6. Let w be 27/(-15) - (-231)/(-55). Let q(x) = 6*x + 5. Give w*p(a) + 7*q(a).
-6*a**3 - 1
Let d(t) = -72*t**3 - 10*t**2 - 26*t + 140. Let w(o) = 24*o**3 + 3*o**2 + 9*o - 40. What is -2*d(p) - 7*w(p)?
-24*p**3 - p**2 - 11*p
Let d(q) = q. Suppose -a + 4*t = -13, -t - 1944 + 1940 = -a. Let v(o) = -8*o**2 - 6*o. What is a*v(h) + 2*d(h)?
-8*h**2 - 4*h
Let c(l) = l + 1. Let b(t) = -t + 0*t - 12 + 15 - 5 - 6. Give -b(n) - 6*c(n).
-5*n + 2
Let d(i) = 3*i**3 - 6*i**2 - 5*i. Let v(z) = -z**3 + 3*z**2 + 2*z. Let x = -5252 + 5247. Calculate x*v(a) - 2*d(a).
-a**3 - 3*a**2
Let b(u) = 7*u**3 + 10*u**2 + 1. Let z(j) = 3*j**3 + 5*j**2. Let g = -344 + 355. Suppose -o - 22 = 4*i, g*o - 7*o - 2*i - 2 = 0. Determine o*b(f) + 5*z(f).
f**3 + 5*f**2 - 2
Let j(z) = -z**2 - 16*z + 52. Let u be j(-19). Let t(c) = c - 1. Let a(h) = -4*h + 19. Determine u*t(r) - a(r).
-r - 14
Let o(g) = 1935*g + 60. Let v(d) = -644*d - 17. Determine 2*o(a) + 7*v(a).
-638*a + 1
Let f(m) = -3*m**3 - 17*m**2. Let z(u) = 4*u**3 + 17*u**2. Let n = -1674 + 1678. What is n*z(o) + 5*f(o)?
o**3 - 17*o**2
Let l(r) be the third derivative of r**6/40 - 139*r**5/60 + 17*r**3/6 + 991*r**2. Let g(d) = -d**3 + 46*d**2 - 6. What is 17*g(p) + 6*l(p)?
p**3 - 52*p**2
Let p(k) = -3*k**2 + 0*k**2 + 7*k**2. Let o(s) = 2*s**2 - 2. Let l(z) = 95*z**2 - 90. Let i(h) = l(h) - 45*o(h). Let n = 25 + -31. What is n*p(f) + 5*i(f)?
f**2
Let k(y) be the third derivative of -y**4/6 + y**3 + 3*y**2. Let p(s) = -43141 + 21566 + 21572 + 2*s. Calculate -4*k(b) - 9*p(b).
-2*b + 3
Let h = -134 + 129. Let j(l) = -l - 4. Let x(a) be the third derivative of -a**3/2 + 36*a**2. What is h*j(k) + 6*x(k)?
5*k + 2
Let j(k) = 11*k**3 - 371*k**2 - 13*k + 7. Let i(a) = -30*a**3 + 990*a**2 + 34*a - 19. Calculate 7*i(y) + 19*j(y).
-y**3 - 119*y**2 - 9*y
Let m(t) = -t - 5. Let d(h) = 1170 + h**2 - 593 + h - 571. Give 2*d(l) + 3*m(l).
2*l**2 - l - 3
Suppose -p = -2*n - 9, -n - 18*p = -22*p - 13. Let d(x) = 2*x**3 - 5*x**2 - 4*x - 7. Let c(u) = 3*u**3 - 9*u**2 - 7*u - 13. Calculate n*d(q) + 4*c(q).
-2*q**3 - q**2 - 3
Let q(p) = 307*p**3 + 4*p**2 + 2. Let w(j) = -615*j**3 - 9*j**2 - 5. Calculate 9*q(r) + 4*w(r).
303*r**3 - 2
Let o(y) = -5*y**2 + 11*y. Let j = 32 + -31. Suppose -u - 31 = 3*d, j = 2*u - 3. Let r(i) = 38*i + 3*i**2 - 19*i - 25*i. Give d*r(g) - 6*o(g).
-3*g**2
Let g = -101770 + 101759. Let c(q) be the first derivative of q**3 + q**2/2 - 2*q - 2. Let b(p) = -9*p**2 - 3*p + 6. What is g*c(o) - 4*b(o)?
3*o**2 + o - 2
Let z(w) be the first derivative of w**3/3 - w**2/2 + w - 2404. Let c(y) = -4*y**2 - 3*y + 3. Let p = -5 + 4. Determine p*c(a) + 3*z(a).
7*a**2
Let p(r) = 7*r**3 + 12*r**2 - 75*r + 2. Let k(x) = 4*x**3 + 8*x**2 - 75*x + 1. What is 3*k(y) - 2*p(y)?
-2*y**3 - 75*y - 1
Let w be (-15)/(-21) + -1 + 153/119. Let h be ((w/(-2))/1)/((-21)/(-210)). Let i(x) = -1 + 0 + x - 2 + 9. Let y(a) = -a - 7. Give h*y(c) - 6*i(c).
-c - 1
Let j(l) = -2*l**2 - 9*l - 15. Let f(u) = 3*u**2 - 263*u + 28. Let a(z) = -9*z**2 + 743*z - 83. Let s(m) = -6*a(m) - 17*f(m). Calculate 7*j(d) + 5*s(d).
d**2 + 2*d + 5
Let c(g) = 53*g - 2 + 26*g - 80*g. Let s = 41 - 38. Let y(m) = m + 2. What is s*y(d) + 4*c(d)?
-d - 2
Let v(x) = 37*x**2 - 13*x - 3. Let j(s) = -12*s**2 + 2*s - 1. Let w(d) = 3*j(d) + v(d). Let r(q) = 2*q**2 - 15*q - 13. Determine 3*r(m) - 7*w(m).
-m**2 + 4*m + 3
Suppose 9 = -3*c - 5*t, -2*c - 2*t = 2*c - 2. Suppose p = 3*j + 33, 9 = c*p - 5*p. Let g(h) = -h + 1. Let a(w) = -12. Determine j*g(l) - a(l).
12*l
Let m(x) = -x. Let c(j) = 225*j**2 + 205*j**2 + 1 + 5*j - 421*j**2. Determine -c(v) - 5*m(v).
-9*v**2 - 1
Let g(k) = 2*k - 1. Let r(u) = u**2 + 7*u - 1. Let x(p) = 7*g(p) - 2*r(p). Let n(l) = -l**2 - l + 1. What is n(h) + x(h)?
-3*h**2 - h - 4
Let s = -4 - 2. Let k(m) = 3*m**2 + 14*m - 11. Let w(q) = 5*q + 7*q**2 + 3*q**2 - 25*q**2 + 16*q**2 - 4. What is s*k(z) + 17*w(z)?
-z**2 + z - 2
Let d(n) = -12*n. Suppose 0 = -2*h + 3*a - 2, -2*a + 2 = -2. Let z(q) = -q**3 - 7*q**2 + 7*q - 1. Let s be z(-8). Let j(l) = -s - l + 7. Give h*d(k) - 20*j(k).
-4*k
Let q(t) = 126*t + 22. Let u(k) = -188*k - 31. Give -7*q(c) - 5*u(c).
58*c + 1
Let n(z) = 109*z - 58. Let t(m) = 108*m - 78. Determine -4*n(l) + 3*t(l).
-112*l - 2
Let q(r) = -2*r - 6. Let u(t) = -167*t + 33. Determine 5*q(y) + u(y).
-177*y + 3
Let x(c) = -5*c + 72. Let r(u) = -10*u + 148. Determine -5*r(q) + 11*x(q).
-5*q + 52
Let x(k) = -k**2 + 1. Let l(s) = -7*s**3 + 21*s**2 - 21. Suppose -4*m = -2*b + 374, -2*m = -5*m + 3. Suppose b = -8*h + 17*h. What is h*x(p) + l(p)?
-7*p**3
Let s(t) = 13*t - 4. Suppose 4*c - 45 = -c. Suppose -3 = 5*j + 17. Let l(m) = -2346*m - 2321*m + 9358*m - 2342*m - 2 - 2343*m. What is c*l(n) + j*s(n)?
2*n - 2
Let n(c) = -1. Let g(l) = -28*l - 39*l + 147*l - 36*l - 8 - 29*l. Determine g(b) - 5*n(b).
15*b - 3
Let l(c) = -744*c - 5. Let j(a) = -447*a - 3. What is 13*j(r) - 8*l(r)?
141*r + 1
Let i(v) = 5*v - 6. Let j(d) = 3*d - 1. Let n(y) = -i(y) + 3*j(y). Let c(b) = -3*b - 3. Let z = 326 - 331. What is z*c(q) - 4*n(q)?
-q + 3
Let k(h) = 224793724*h**3 + 403953*h**2 - 73446*h + 36723. Let v(q) = 12243*q**3 + 22*q**2 - 4*q + 2. What is -2*k(n) + 36723*v(n)?
12241*n**3
Let h(r) = -15*r**2 - 12*r + 29. Let y(g) = -17*g**2 - 14*g + 33. Determine -10*h(x) + 9*y(x).
-3*x**2 - 6*x + 7
Let m(x) = -76*x + 32. Let b(k) = -78*k + 27. What is -4*b(v) + 3*m(v)?
84*v - 12
Let z(x) = -17040*x**2 + 17047*x**2 - 11 + 3*x**3 + 4 - 12*x**3. Let c(s) = -5*s**3 + 3*s**2 - 3. Give 7*c(l) - 3*z(l).
-8*l**3
Let o(z) = 3*z**3 - 2*z - 4. Let j(f) = -f - 1. Let n be (-3)/((-40)/16 - (3 - (-38)/(-8))). What is n*j(c) - o(c)?
-3*c**3 - 2*c
Let n be 4/((-20)/15) - -5. Let i(k) = 1 - 3237*k + k**2 - 8*k**n + 3232*k. Let f = 8 - 14. Let t(o) = 8*o**2 + 6*o - 1. Give f*i(d) - 5*t(d).
2*d**2 - 1
Let h(r) = 3*r. Let z(u) = -12*u + 1. Suppose -x + 17 = 4*a, -a + 2*x + 2 = -0*x. Suppose -9*f + a*f = -10. Calculate f*z(i) + 9*h(i).
3*i + 2
Let r(t) be the second derivative of 0*t**2 + 0*t**4 + 7/20*t**5 + 13*t + 0 + 5/6*t**3. Let s(g) = -3*g**3 - 2*g. Calculate 2*r(i) + 5*s(i).
-i**3
Suppose x - 7 = 3*t, -2*x + 50 = 3*t + 9. Suppose -2*p + x - 8 = 0. Let r(s) = s**3 - 5*s. Let j(b) = b**3 - 6*b. Give p*j(f) - 5*r(f).
-f**3 + f
Let l(q) = 34400*q**3 + 256*q**2 - 512*q + 256. Let f(i) = 800*i**3 + 6*i**2 - 12*i + 6. Calculate -128*f(o) + 3*l(o).
800*o**3
Let o = 673 + -678. Let d(f) = 22*f**2 - 8*f - 56. Let j(v) = 15*v**2 - 5*v - 37. Let u(n) = 5*d(n) - 8*j(n). Let s(t) = -3*t**2 + 5. Give o*u(x) + 16*s(x).
2*x**2
Let u(i) = 29*i - 4. Let n(f) = 4 - 16*f + 4*f + 4*f - 3 + 7*f. Calculate 4*n(z) + u(z).
25*z
Let u(h) = 18850*h + 220. Let z(a) = -2693*a - 33. Give 3*u(b) + 20*z(b).
2690*b
Let k(o) = 3*o**2 + 12*o. Let p(u) = -u**3 - | {
"pile_set_name": "DM Mathematics"
} |
+ 1582 for u.
-30
Solve -15*w + 215 = 65 for w.
10
Solve 16490*b - 5301 = 16319*b for b.
31
Solve 28*b + 336 = -84*b for b.
-3
Solve -2*h + 33*h = 7*h + 288 for h.
12
Solve -16*d - 309*d + 8788 = 13*d for d.
26
Solve -4*m + 67 + 1 + 0 = 0 for m.
17
Solve -151*a + 15 = 75 + 91 for a.
-1
Solve 1741 = 120*f - 164*f + 25 for f.
-39
Solve 74*a - 426*a - 9504 = 0 for a.
-27
Solve -2149 = 6*u - 4381 + 2184 for u.
8
Solve -760*i + 867*i + 1819 = 0 for i.
-17
Solve -5*g - 230 = -13*g - 2*g for g.
23
Solve -20 - 221 = 230*j + 11*j for j.
-1
Solve -61*r = -248*r - 43*r + 3220 for r.
14
Solve -29*x + 54*x + 275 = 0 for x.
-11
Solve -67*y + 183 = -85 for y.
4
Solve -59 = 432*x + 226*x + 1257 for x.
-2
Solve -925*g + 898*g = 216 for g.
-8
Solve m - 14 + 13 + 23 = 0 for m.
-22
Solve 144*a - 1936 = -321 + 401 for a.
14
Solve -87*v - 112*v - 585 = -244*v for v.
13
Solve -9*p - 9*p + 39*p = 210 for p.
10
Solve 75*s + 41 = 37*s + 155 for s.
3
Solve 417 = -18*q + 129 for q.
-16
Solve -224*f - 444 - 287 = -267*f for f.
17
Solve -51*r + 438 = 14*r + 8*r for r.
6
Solve -529*v + 506*v = -10 + 148 for v.
-6
Solve -210*u + 48*u = -3906 - 1116 for u.
31
Solve -5571 = -488*f - 19235 for f.
-28
Solve 302*l - 608*l = -316*l + 10 for l.
1
Solve -153*l - 12*l = 2145 for l.
-13
Solve -45*r + 46 = -134 for r.
4
Solve -564*x = -544*x + 82 + 58 for x.
-7
Solve 296 - 8 = -123*g - 327 for g.
-5
Solve -19*h - 85 - 43 - 81 = 0 for h.
-11
Solve 92 = -96*j + 50*j for j.
-2
Solve 44 + 156 = 25*a for a.
8
Solve b + 35 = 63 - 33 for b.
-5
Solve 22*m - 76 = 562 for m.
29
Solve 0 = 2038*m - 2025*m + 247 for m.
-19
Solve 192 = 35*j - 40 + 57 for j.
5
Solve 676*u - 1033 - 331 - 664 = 0 for u.
3
Solve 215 - 9035 = -420*b for b.
21
Solve -13*d + 144 = 298 - 375 for d.
17
Solve -578*h + 498*h - 240 = 0 for h.
-3
Solve -327 = -645*u + 536*u for u.
3
Solve -1312 = 84*y + 19*y + 61*y for y.
-8
Solve -22*p - 108*p - 1512 = -4*p for p.
-12
Solve -153*f - 1566 + 160 = 583 for f.
-13
Solve -210 = 120*i + 1212 + 1578 for i.
-25
Solve 0 = -3573*w + 3604*w + 279 for w.
-9
Solve 14128*d + 564 = 14081*d for d.
-12
Solve -12*d + 39 = 21*d - 20*d for d.
3
Solve 69*a = -452*a + 5987 - 2340 for a.
7
Solve 102*a = -20 + 20 for a.
0
Solve 32*u - 39*u - 3180 = -113*u for u.
30
Solve -24784 = -3*q - 24796 for q.
-4
Solve 0 = 4*a + 7*a - 110 for a.
10
Solve -5 = 14*i - 1 + 24 for i.
-2
Solve -447*x - 393*x = -903*x - 630 for x.
-10
Solve -454 - 1562 = -712*o + 640*o for o.
28
Solve 20 - 138 + 64 = 9*h for h.
-6
Solve -244*r + 171*r = 1013 + 301 for r.
-18
Solve -447 = 9*y - 285 - 270 for y.
12
Solve -175*d + 115*d = -720 for d.
12
Solve 63*d - 3 = 64*d for d.
-3
Solve 201 - 96 = -4*a + 89 for a.
-4
Solve -1753*o - 24 = -1755*o for o.
12
Solve 36 = -21222*k + 21216*k for k.
-6
Solve 212*u - 344*u = -264 for u.
2
Solve -232*t - 28768 = -36*t + 703*t for t.
-32
Solve -21339 = 3*x - 21300 for x.
-13
Solve 1505*a + 10871 = 336 for a.
-7
Solve 2*j - 68 - 64 = -130 for j.
1
Solve 110*m - 212 = 1328 for m.
14
Solve 28*q + 260 - 38 = -114 for q.
-12
Solve 869 = -165*d + 3344 for d.
15
Solve -615*p + 6464 = 1455 - 9136 for p.
23
Solve -60 = 103*o - 68*o - 50*o for o.
4
Solve 4*c - 73*c = 0 for c.
0
Solve -31663 + 30963 = 20*b for b.
-35
Solve -44*j - 13*j - 224 = -j for j.
-4
Solve -1526*y + 506*y - 3619 - 1481 = 0 for y.
-5
Solve 141*t - t = -592 - 808 for t.
-10
Solve s + 14*s = -147 + 57 for s.
-6
Solve 0 = 132*n + 81*n - 7*n - 206 for n.
1
Solve 0 = 115*j - 150 + 1990 for j.
-16
Solve -4804 = 204*p - 796 + 1296 for p.
-26
Solve -62*g + 946 = 636 for g.
5
Solve 205198 - 205120 = -13*a for a.
-6
Solve -232*l = 44 - 49 + 237 for l.
-1
Solve 0 = 676*o + 134 - 12978 for o.
19
Solve 336*f + 286 = 362*f for f.
11
Solve 121167*v + 102 = 121201*v for v.
3
Solve 35*f + 401 + 234 = 145 for f.
-14
Solve 0 = -31*v + 18*v - 78 for v.
-6
Solve 0 = -11484*l + 11473*l - 99 for l.
-9
Solve 1609 = 505*k - 182 + 276 for k.
3
Solve 6357 - 5847 = 15*n for n.
34
Solve -83*p + 206 = 123*p for p.
1
Solve 25650 = -1112*o + 257*o for o.
-30
Solve -245*b + 3908 = 9543 for b.
-23
Solve -965*g = -5081 - 709 for g.
6
Solve -458 = b - 237 - 236 for b.
15
Solve -596*j + 386*j = -299*j - 3382 for j.
-38
Solve 0 = -24*r + 12 + 32 - 68 for r.
-1
Solve 9*u - 182 - 52 = -9*u for u.
13
Solve 4*q - q = 8*q - 70 for q.
14
Solve -13472*y + 13340*y = 2772 for y.
-21
Solve -24*w + 53*w - 150 = 14*w for w.
10
Solve 0 = -1704*d + 1746*d - 1428 for d.
34
Solve -3*o = o + 88 - 120 for o.
8
Solve -8184 = -248*v - 434*v for v.
12
Solve 78*d - 136 = 22*d + 39*d for d.
8
Solve 145 = -163*i - 21 - 160 for i.
-2
Solve 103*i + 2181 = 636 for i.
-15
Solve 190 - 324 = -58*b - 1816 for b.
-29
Solve 7*k - 7 = -2*k + 2*k for k.
1
Solve -10 = 52*g - 30*g - 32*g for g.
1
Solve -214*d + 639 = -285*d for d.
-9
Solve -78*x - 89*x = 703*x + 32190 for x.
-37
Solve -564*i = -455*i - 1038 - 1796 for i.
26
Solve -7*j = -7*j - 2*j - 12 for j.
-6
Solve -150*h + 198*h = 816 for h.
17
Solve -273*g + 153*g - 156*g + 2484 = 0 for g.
9
Solve -124 = -19*m - 5*m + 68 for m.
8
Solve -3*n - 8*n - 9*n = 200 for n.
-10
Solve -131*z - 1592 = 2202 - 1043 for z.
-21
Solve -10272 = -241*l - 641*l + 26*l for l.
12
Solve -5*b - 43*b + 10*b = -418 for b.
11
Solve 561 - 525 = -4*y for y.
-9
Solve -264*k - 197 + 743 + 774 = 0 for k.
5
Solve -1045 = 265888*g - 265943*g for g.
19
Solve 497 = -20*v + 85*v + 6*v for v.
7
Solve -2259*m + 2241*m = 162 for m.
-9
Solve 248*t - 263*t = 75 for t.
-5
Solve -425*h - 9490 = -60*h for h.
-26
Solve -90*k = -58*k - 256 for k.
8
Solve 43*v - 108 = 31*v for v.
9
Solve 113 + 592 = 47*g for g.
15
Solve 62*o = -55*o + 153*o - 396 for o.
11
Solve -1600 = -126*a + 777 - 361 for a.
16
Solve 54*z = 65*z - 55 for z.
5
Solve 366 = 4369*q - 4308*q for q.
6
Solve -10 - 34 = -5*r + 16 for r.
12
Solve -991*n = -877*n - 684 for n.
6
Solve 32*w - 251 = 213 + 144 for w.
19
Solve 391*l = -1884 - 7891 for l.
-25
Solve 0 = -62*n - 166*n + 456 for n.
2
Solve 4148*g = 4132*g - 32 for g.
-2
Solve -101*q + 73*q = 224 for q.
-8
Solve 37*k + 0 + 137 = -122 for k.
-7
Solve 1770 = -142*w + 24*w for w.
-15
Solve 0*f - 54 = 6*f + 36 for f.
-15
Solve -163 = 3*l - 139 for l.
-8
Solve 55*n - 885 = -7*n + 3*n for n.
15
Solve -19*t - 416 = -227*t for t.
2
Solve 0 = -13*k + 13 + 61 + 95 for k.
13
Solve -124750 = 15*g - 125035 for g.
19
Solve 7*r + 22 - 39 = 18 for r.
5
Solve 55*d - 443*d - 1552 = 0 for d.
-4
Solve -399*k = -395*k - 48 for k.
12
Solve -249*j + 186*j - 552 = 1338 for j.
-30
Solve 313 = -14*j + 411 for j.
7
Solve -4569 = 368*x + 1579 - 1364 for x.
-13
Solve -211 = -53*i - 66 + 226 for i.
7
Solve -17*s = 51*s + 20*s + 2200 for s.
-25
Solve 200 = -51099*n + 51119*n for n.
10
Solve -71*b + 352 = -287 for b.
9
Solve 131 = 112*u - 343 - 86 for u.
5
Solve 1986 - 8836 = 685*v for v.
-10
Solve -352 = 18*d - 31*d - 9*d for d.
16
Solve 0 = 5*l + 160 - 120 for l.
-8
Solve -10*w + 4*w = 44*w for w.
0
Solve -1423 = 17*s - 1321 for s.
-6
Solve -6409 + 1740 = -1453*g + 4049 for g.
6
Solve -585 = -742*q + 625*q for q.
5
Solve -170*h - 1244 - 1088 = -462 for h.
-11
Solve -991*x = -1038*x - 940 for x.
-20
Solve -83*l - 2056 = 431*l for l.
-4
Solve 55*c - 923 = -152*c + 2389 for c.
16
Solve 4*g - 14*g = 14*g + 504 for g.
-21
Solve 252*j - 1316 = 700 for j.
8
Solve 0 = 195*v + 701*v - 36140 + 9260 for v.
30
Solve -240 = -316*s + 151*s + 175*s for s.
-24
Solve 326*a - 287*a - 118 = 38 for a.
4
Solve 114*z = 111*z + 6 for z.
2
Solve 70 - 24 = -29*x + 17 for x.
-1
Solve 4*c = 3*c + 3 for c.
3
Solve -35*u - 37*u + 801 = 17*u for u.
9
Solve 48*d + 13*d - 1944 = -20*d for d.
24
Solve 62*t + 293 + 199 = 21*t for t.
-12
Solve -970*h = 685*h - 384*h + 5084 for h.
-4
Solve 0 = -360*h - 2184 + 402 - 378 for h.
-6
Solve 95*i + 4950 = -197*i + 17*i for i.
-18
Solve -102*a + 22 = -88*a - 20 for a.
3
Solve -33*w - 379 = -412*w for w.
1
Solve -28*m + 975 - 947 = 0 for m.
1
Solve -15*l = 31*l - 368 for l.
8
Solve 3*x - 9 + 15 = -30 for x.
-12
Solve -183 + 86 = -f - 85 for f.
12
Solve -1740 = -3467*x + 3380*x for x.
20
Solve 13*d + 93 - 22 = -20 for d.
-7
Solve 0 = -5*y - 41268 + 41208 for y.
-12
Solve 3904 = 361*l + 11124 for l.
-20
Solve 3710 = -41*b + 75*b + 72*b for b.
35
Solve -34493*c + 34509*c + 64 = 0 for c.
-4
Solve 59*t | {
"pile_set_name": "DM Mathematics"
} |
n**2 + 51*n - 54.
3*(n - 1)*(n + 18)
Find b, given that -5*b**3 - 55*b**2 - 95*b - 45 = 0.
-9, -1
Solve -3*i**4/5 - 9*i**3/5 + 3*i**2 + 9*i/5 - 12/5 = 0 for i.
-4, -1, 1
Factor -w**4/3 - 5*w**3/3 - 4*w**2/3.
-w**2*(w + 1)*(w + 4)/3
Factor -3*p**2 + 846*p - 59643.
-3*(p - 141)**2
Factor 3*p**3/5 - 9*p/5 + 6/5.
3*(p - 1)**2*(p + 2)/5
Factor -243*l**4 - 540*l**3 - 111*l**2 - 6*l.
-3*l*(l + 2)*(9*l + 1)**2
Find a such that a**4/3 - 484*a**3/3 + 26082*a**2 - 4251044*a/3 + 4173281/3 = 0.
1, 161
Factor -k**2 - 119*k.
-k*(k + 119)
Find k, given that -4*k**5 + 40*k**4 - 148*k**3 + 256*k**2 - 208*k + 64 = 0.
1, 2, 4
Factor -m**5/9 + 2*m**4/9 + 4*m**3/3 - 40*m**2/9 + 32*m/9.
-m*(m - 2)**3*(m + 4)/9
Factor 6*g**3 - 159*g**2 - 81*g.
3*g*(g - 27)*(2*g + 1)
Factor -2*h**4 - 12*h**3 - 8*h**2 + 48*h + 64.
-2*(h - 2)*(h + 2)**2*(h + 4)
Factor -3*i**2 - 21*i + 90.
-3*(i - 3)*(i + 10)
Suppose 2*n**2 - 164*n + 320 = 0. What is n?
2, 80
Factor 3*c**5/4 + 555*c**4 + 308025*c**3/2 + 18994875*c**2 + 3514051875*c/4.
3*c*(c + 185)**4/4
Suppose -2*o**3/9 + 50*o**2/9 - 136*o/9 + 88/9 = 0. What is o?
1, 2, 22
Suppose 6*d**3 - 80*d**2/7 - 134*d/7 - 12/7 = 0. What is d?
-1, -2/21, 3
Factor -7*s**3/5 - 211*s**2/5 - 233*s/5 - 29/5.
-(s + 1)*(s + 29)*(7*s + 1)/5
Factor s**3 + 45*s**2 + 528*s + 484.
(s + 1)*(s + 22)**2
Factor -2*v**5 - 22*v**4 - 86*v**3 - 146*v**2 - 112*v - 32.
-2*(v + 1)**3*(v + 4)**2
What is l in -3*l**2/5 - 99*l/5 + 102/5 = 0?
-34, 1
Determine k, given that k**4/2 + 5*k**3/2 - 3*k**2/2 - 13*k/2 + 5 = 0.
-5, -2, 1
Factor -q**2 + 238*q - 14161.
-(q - 119)**2
Factor 50*j**3/13 + 1760*j**2/13 - 1432*j/13 + 288/13.
2*(j + 36)*(5*j - 2)**2/13
Solve -3*r**3 - 387*r**2 - 14040*r - 97200 = 0 for r.
-60, -9
Factor -9*t**3 - 41*t**2 - 34*t + 24.
-(t + 2)*(t + 3)*(9*t - 4)
Find i such that -63001*i**2 + 8032*i - 256 = 0.
16/251
Find u such that -2*u**4/3 - 8*u**3 - 38*u**2/3 + 8*u + 40/3 = 0.
-10, -2, -1, 1
Let 5*q**5 - 20*q**4 - 35*q**3 + 170*q**2 - 120*q = 0. Calculate q.
-3, 0, 1, 2, 4
Suppose -2*v**3/9 + 10*v**2 - 58*v/3 + 86/9 = 0. Calculate v.
1, 43
Factor x**4/8 + 3*x**3/4 - 27*x**2/2 - 115*x/4 - 117/8.
(x - 9)*(x + 1)**2*(x + 13)/8
Solve 16*v**5/15 + 10*v**4/3 - 14*v**3/5 - 182*v**2/15 - 118*v/15 - 4/5 = 0.
-3, -1, -1/8, 2
Solve -5*n**3 - 7885*n**2 - 3120455*n - 9290535 = 0.
-787, -3
Factor -4*x**3 + 272*x**2 - 4624*x.
-4*x*(x - 34)**2
Factor -2*t**2 - 48*t - 46.
-2*(t + 1)*(t + 23)
Let 4*y**2 + 584*y + 21316 = 0. What is y?
-73
Let -f**3 - 72*f**2 - 528*f - 1024 = 0. Calculate f.
-64, -4
Factor 2*f**5/15 - 142*f**4/3 - 1450*f**3/3 - 3650*f**2/3.
2*f**2*(f - 365)*(f + 5)**2/15
Determine k, given that -5*k**4 + 45*k**3 + 710*k**2 + 1740*k + 1080 = 0.
-6, -2, -1, 18
Find t, given that -2*t**2/11 - 128*t/11 - 2048/11 = 0.
-32
Factor -s**3/5 - 24*s**2/5 - 31*s - 60.
-(s + 4)*(s + 5)*(s + 15)/5
Factor -3*t**3 + 828*t**2 - 56295*t - 115926.
-3*(t - 139)**2*(t + 2)
Solve 5*c**3 - 90*c**2 - 420*c - 440 = 0.
-2, 22
Find b, given that 27*b**5 - 79*b**4 + 21*b**3 + 83*b**2 - 48*b - 4 = 0.
-1, -2/27, 1, 2
Factor b**2/3 - 19*b + 56/3.
(b - 56)*(b - 1)/3
Find o, given that -32*o**3/5 + 2224*o**2/5 - 1106*o/5 + 138/5 = 0.
1/4, 69
Determine c, given that -c**2/2 + 39*c/2 - 19 = 0.
1, 38
Solve 3*h**2/4 - 75*h/2 + 1875/4 = 0.
25
Let -p**3 - p**2 + 16*p - 20 = 0. Calculate p.
-5, 2
Suppose -3*o**4 + 276*o**3 + 2034*o**2 + 4428*o + 2673 = 0. Calculate o.
-3, -1, 99
Factor 2197845*z**2 + 13260*z + 20.
5*(663*z + 2)**2
Determine w, given that w**4 + 62*w**3 + 513*w**2 - 14060*w + 43808 = 0.
-37, 4, 8
Factor -5*x**3 + 35*x**2 - 70*x + 40.
-5*(x - 4)*(x - 2)*(x - 1)
Factor -2*n**3/11 + 2*n**2/11 + 10*n/11 + 6/11.
-2*(n - 3)*(n + 1)**2/11
Let 18*o**5 + 1866*o**4/7 - 2368*o**3/7 + 520*o**2/7 + 128*o/7 = 0. Calculate o.
-16, -1/7, 0, 2/3
Factor -2*y**2 - 204*y + 206.
-2*(y - 1)*(y + 103)
Suppose 6*p**5 + 104*p**4 - 96*p**3 - 416*p**2 + 288*p = 0. Calculate p.
-18, -2, 0, 2/3, 2
Factor 5*d**3 + 145*d**2 + 1400*d + 4500.
5*(d + 9)*(d + 10)**2
Let 8*o**3 + 138*o**2 + 454*o - 600 = 0. What is o?
-12, -25/4, 1
Factor 5*l**4 - 510*l**3 - 515*l**2.
5*l**2*(l - 103)*(l + 1)
Suppose 3*k**4 + 171*k**3 - 177*k**2 - 171*k + 174 = 0. What is k?
-58, -1, 1
Factor f**4/3 + 5*f**3 - 37*f**2/3 - 17*f.
f*(f - 3)*(f + 1)*(f + 17)/3
Factor n**5 + 1068*n**4 + 284085*n**3 - 572450*n**2.
n**2*(n - 2)*(n + 535)**2
Factor 5*r**2 + 1140*r.
5*r*(r + 228)
Determine m, given that -18*m**5/5 - 32*m**4/5 - 2*m**3 + 4*m**2/5 = 0.
-1, 0, 2/9
Factor 3*p**2/4 + 111*p/4 + 120.
3*(p + 5)*(p + 32)/4
Factor -w**5/4 + 13*w**4/4 - 11*w**3/2 - 63*w**2 + 162*w + 216.
-(w - 6)**3*(w + 1)*(w + 4)/4
Factor -4*k**4 - 8*k**3 + 192*k**2 - 504*k + 324.
-4*(k - 3)**2*(k - 1)*(k + 9)
Factor m**5/2 + m**4 - 3*m**3 - 2*m**2 + 13*m/2 - 3.
(m - 1)**3*(m + 2)*(m + 3)/2
What is z in -2*z**2/3 - 30*z + 92/3 = 0?
-46, 1
What is h in -h**2/7 + 502*h/7 + 503/7 = 0?
-1, 503
Let -12*c**5 + 32*c**4 + 68*c**3 - 152*c**2 - 80*c + 96 = 0. What is c?
-2, -1, 2/3, 2, 3
Find q such that -q**4/4 + 99*q**3/2 - 9601*q**2/4 - 4950*q - 2500 = 0.
-1, 100
Factor -z**2/4 - 197*z - 38809.
-(z + 394)**2/4
Solve 3*r**4 - 12*r**3 + 9*r**2 + 12*r - 12 = 0.
-1, 1, 2
Suppose 3*t**2 - 1026*t - 1029 = 0. What is t?
-1, 343
Factor -d**2/2 - 3*d/2 + 377.
-(d - 26)*(d + 29)/2
Factor -2*l**4/9 - 454*l**3/9 - 25990*l**2/9 - 25538*l/9.
-2*l*(l + 1)*(l + 113)**2/9
Find a such that 9*a**3/8 + 1785*a**2/8 - 1193*a/8 + 199/8 = 0.
-199, 1/3
Let -2*y**5/5 + 24*y**4/5 + 2*y**3/5 - 24*y**2/5 = 0. What is y?
-1, 0, 1, 12
Let 4*t**2 - 2340*t + 2336 = 0. What is t?
1, 584
Suppose -k**4/2 + 12*k**3 - 83*k**2/2 + 30*k = 0. Calculate k.
0, 1, 3, 20
Factor -2*c**3/13 - 10*c**2/13 - 4*c/13 + 16/13.
-2*(c - 1)*(c + 2)*(c + 4)/13
What is n in -4*n**2/9 - 800*n/3 - 40000 = 0?
-300
Factor -55*y**2 - 19685*y + 1790.
-5*(y + 358)*(11*y - 1)
Factor 5*q**3 - 6555*q**2 + 2145120*q + 2151680.
5*(q - 656)**2*(q + 1)
What is z in 2*z**4/5 - 303*z**3/5 + 1891*z**2/5 - 174*z = 0?
0, 1/2, 6, 145
Factor 3*z**4 + 9*z**3 - 60*z**2 - 144*z + 192.
3*(z - 4)*(z - 1)*(z + 4)**2
What is c in -64*c**5/7 - 416*c**4/7 + 1788*c**3/7 + 3272*c**2/7 + 1276*c/7 + 144/7 = 0?
-9, -1, -1/4, 4
Factor -2*s**2/3 + 64*s/3 + 152.
-2*(s - 38)*(s + 6)/3
Let 3*s**2 + 438*s = 0. Calculate s.
-146, 0
Let 3*v**3 - 2061*v**2 + 2058*v = 0. Calculate v.
0, 1, 686
Factor -4*d**2 - 12*d + 40.
-4*(d - 2)*(d + 5)
What is m in -m**5 - 7*m**4 - 15*m**3 - 13*m**2 - 4*m = 0?
-4, -1, 0
Find k such that -8*k**2 - 86*k/3 - 20/3 = 0.
-10/3, -1/4
Solve 5*l**5 + 35*l**4 + 90*l**3 + 100*l**2 + 40*l = 0 for l.
-2, -1, 0
Factor -2*x**2 + 120*x - 118.
-2*(x - 59)*(x - 1)
Factor -3*s**2/2 - 96*s + 2475/2.
-3*(s - 11)*(s + 75)/2
Factor u**5 - 5*u**4 - 7*u**3 + 5*u**2 + 6*u.
u*(u - 6)*(u - 1)*(u + 1)**2
Suppose -2*s**2/13 - 662*s/13 + 1332/13 = 0. Calculate s.
-333, 2
Find w such that -w**3 - 13*w**2 - 35*w + 49 = 0.
-7, 1
Find t, given that -6*t**3 + 128*t**2 + 538*t + 300 = 0.
-3, -2/3, 25
What is s in -s**2/5 - 64*s/5 = 0?
-64, 0
Solve -9*f**4 + 21*f**3 - 6*f**2 = 0.
0, 1/3, 2
Let 2*c**2/13 + 668*c/13 - 3390/13 = 0. What is c?
-339, 5
Let -a**2 + 1609*a = 0. Calculate a.
0, 1609
Factor -3*i**3 - 10890*i**2 - 21771*i - 10884.
-3*(i + 1)**2*(i + 3628)
Let z**4/7 - 20*z**3 - 429*z**2/7 - 4*z/7 + 572/7 = 0. Calculate z.
-2, 1, 143
Find d such that d**4/7 - 8*d**3/7 + 9*d**2/7 + 18*d/7 = 0.
-1, 0, 3, 6
Factor 3*u**3/2 - 309*u**2/2 + 153*u.
3*u*(u - 102)*(u - 1)/2
Let 5*f**3 + 40*f**2 + 80*f = 0. What is f?
-4, 0
Find u, given that -u**2/5 + 132*u/5 - 4356/5 = 0.
66
Determine s so that 2*s**2 + 7084*s + 6272882 = 0.
-1771
Let -2*a**2/7 + 52*a/7 + 310/7 = 0. What is a?
-5, 31
Factor -2*p**2/3 - 1126*p - 3376/3.
-2*(p + 1)*(p + 1688)/3
Determine y, given that -3*y**3/8 + 315*y**2/2 - 22050*y + 1029000 = 0.
140
Factor -4*o**2 - 1660*o - 3304.
-4*(o + 2)*(o + 413)
Solve 27*n**4 - 36*n**3 + 12*n**2 = 0 for n.
0, 2/3
Factor 2*c**3/7 + 52*c**2/7 + 384*c/7 + 576/7.
2*(c + 2)*(c + 12)**2/7
Suppose -26*f**3/7 + 4*f**2/7 + 104*f/7 - 16/7 = 0. Calculate f.
-2, 2/13, 2
Factor y**3/3 + 10*y**2/3 + 31*y/3 + 10.
(y + 2)*(y + 3)*(y + 5)/3
Factor 3*i**5 - 21*i**4 + 30*i**3 + 6*i**2 - 33*i + 15.
3*(i - 5)*(i - 1)**3*(i + 1)
Determine m, given that m**3 + 30*m**2 - 99*m = 0.
-33, 0, | {
"pile_set_name": "DM Mathematics"
} |
- 1)*(o + 1)**2
Let r(q) be the first derivative of -4 - 18/7*q + 6/7*q**2 - 2/21*q**3. Let r(v) = 0. Calculate v.
3
Let s(b) be the second derivative of 0*b**2 + 0 - 3*b - 7/20*b**4 - 1/5*b**3. Suppose s(r) = 0. What is r?
-2/7, 0
Let s = -20 - -23. Let w(k) be the second derivative of 0*k**2 + 0*k**4 + 0 + 1/30*k**6 + 0*k**s - k + 1/20*k**5. Factor w(z).
z**3*(z + 1)
Factor 28*u**2 - 31*u**2 - u**3 - 8*u**3.
-3*u**2*(3*u + 1)
Let 0 + 0*x**3 - 1/8*x**5 + 1/8*x + 1/4*x**4 - 1/4*x**2 = 0. Calculate x.
-1, 0, 1
Let q be ((-12)/(-3))/(-2 + 3). Factor 2 + 3 - 4*z - 7 - 9*z**q + 2*z**2 + 1 + 12*z**3.
-(z - 1)**2*(3*z + 1)**2
Let w(i) be the second derivative of i**5/20 - i**4/12 + i**3/6 + 3*i**2/2 - 3*i. Let b be w(0). Find p such that -p**3 - 6*p**2 - p**3 - 5 + b - 6*p = 0.
-1
Let l(x) be the first derivative of -1/16*x**4 + 1/12*x**3 + 4 + 1/8*x**2 - 1/4*x. Factor l(i).
-(i - 1)**2*(i + 1)/4
Let 16/7 - 12/7*n**2 + 8/7*n - 10/7*n**3 - 2/7*n**4 = 0. What is n?
-2, 1
Let v(i) = 3*i. Let n be v(-1). Let d be n/(-18) + 1/3. Solve 0 + 0*z - d*z**4 + z**3 - 1/2*z**2 = 0.
0, 1
Let w(n) be the first derivative of 2*n**3/21 + 2*n**2 + 14*n + 43. Factor w(h).
2*(h + 7)**2/7
Let m(p) be the third derivative of -7*p**5/12 - 15*p**4/8 - 5*p**3/3 - 6*p**2. Suppose m(q) = 0. Calculate q.
-1, -2/7
Let w(y) be the second derivative of 2*y**7/49 + 10*y**6/21 + 71*y**5/35 + 29*y**4/7 + 92*y**3/21 + 16*y**2/7 - 17*y + 1. Find f, given that w(f) = 0.
-4, -2, -1, -1/3
Let g(n) be the first derivative of -n**4/2 + 10*n**3/3 - 8*n**2 + 8*n - 17. Factor g(w).
-2*(w - 2)**2*(w - 1)
Let p be (0 - 0)/(-2 - -1). Suppose p*t = -2*t - 4*r + 26, 25 = 5*t + 2*r. Suppose -k**2 + 6*k - 3*k**t + 2*k**3 - 3*k - k = 0. Calculate k.
-2, 0, 1
Let m be 1*(2 + (-3 - -1)). Factor 0 + 1/3*p**3 - 1/3*p**2 + m*p.
p**2*(p - 1)/3
Let r(y) = 6*y. Let b be r(1). Factor -b*q + q**2 + 4*q**2 - 2*q**2.
3*q*(q - 2)
Let d be 126/27 + 2/(-3). Let q be (-3)/(1/d*-6). Factor 0*w**4 + 0 + 0*w**q + 4/3*w**3 - 2/3*w**5 - 2/3*w.
-2*w*(w - 1)**2*(w + 1)**2/3
Let f = 18 + -18. Let n(p) be the second derivative of 1/21*p**4 - 2/105*p**6 - 2*p - 1/21*p**3 + 1/147*p**7 + 0*p**5 + f + 0*p**2. Suppose n(d) = 0. What is d?
-1, 0, 1
Solve -3/5*a + 3/5*a**3 - 9/5*a**2 + 9/5 = 0 for a.
-1, 1, 3
Suppose 8 = -3*t - t, 0 = -2*h - 2*t. Let k(f) be the second derivative of 0*f**h - 2*f + 1/42*f**4 - 1/21*f**3 + 0. Let k(y) = 0. Calculate y.
0, 1
Let q be 2/6*(174/(-42) + 5). Factor q - 6/7*u + 6/7*u**2 - 2/7*u**3.
-2*(u - 1)**3/7
Let f(k) be the second derivative of -5*k + 0 + 1/6*k**2 + 1/4*k**3 + 1/18*k**4. Solve f(w) = 0 for w.
-2, -1/4
Let n be -2 - 16/6*-1. Factor n*l + 1/3*l**2 + 1/3.
(l + 1)**2/3
Suppose 0 = 5*m - p - 15, 0 = 4*m + m + 2*p. Let w(n) be the first derivative of 2*n - 2/3*n**3 - 1/4*n**4 + 3 + 1/2*n**m. Factor w(v).
-(v - 1)*(v + 1)*(v + 2)
Let w = -2 + 2. Factor 5*r**4 + 2 - 3*r**4 + w - 4*r**2.
2*(r - 1)**2*(r + 1)**2
Let x(a) = 15*a**2 - 325*a + 2565. Let g(o) = -22*o**2 + 487*o - 3847. Let f(v) = 5*g(v) + 7*x(v). Find u, given that f(u) = 0.
16
Find z such that 24*z**3 + 16*z**2 + 16*z**4 + 2074 - 2074 + 4*z + 4*z**5 = 0.
-1, 0
Let d(f) be the third derivative of 0*f**3 + 1/600*f**6 + 0*f**4 + 1/1050*f**7 - 1/1680*f**8 + 0 + 0*f + 3*f**2 - 1/300*f**5. Let d(o) = 0. Calculate o.
-1, 0, 1
Let q(c) be the second derivative of c**5/20 + c**4/3 + 2*c**3/3 + 13*c. Factor q(d).
d*(d + 2)**2
Let u(q) be the first derivative of -7/12*q**6 + 8 - 5/8*q**2 + 19/16*q**4 + 13/12*q**3 - 1/2*q - 11/20*q**5. Determine r, given that u(r) = 0.
-1, -2/7, 1/2, 1
Solve 12*z - 4*z**3 + 2*z**4 + 2*z - 2 - 10*z = 0 for z.
-1, 1
Let j(v) be the third derivative of -v**7/5040 - v**6/480 - v**5/120 + v**4/8 - 2*v**2. Let q(w) be the second derivative of j(w). Factor q(p).
-(p + 1)*(p + 2)/2
Let q(o) = 2*o**3 + 13*o**2 - 23*o + 14. Let s(k) = 8*k**3 + 53*k**2 - 91*k + 56. Let z(n) = 26*q(n) - 6*s(n). Find t, given that z(t) = 0.
-7, 1
Factor 0 + 4/7*n**3 - 2/7*n**2 + 2/7*n**4 - 4/7*n.
2*n*(n - 1)*(n + 1)*(n + 2)/7
Let u(l) be the second derivative of -7/30*l**5 + 0 + 4*l + 2/3*l**2 + 1/6*l**4 + 7/9*l**3 - 1/9*l**6. Solve u(r) = 0 for r.
-1, -2/5, 1
Let a(k) be the second derivative of -25*k**7/126 + 11*k**6/18 + 14*k**5/15 + k**4/3 - 10*k. Determine z, given that a(z) = 0.
-2/5, 0, 3
Suppose 0*n = 3*n - 27. Let r = n + -7. Factor 4/5*m**r + 2/5*m**3 + 0 + 0*m.
2*m**2*(m + 2)/5
Let r(s) = -s - 2. Let w be r(-8). Let l = -3 + w. Solve -b**5 - 3*b + l*b**4 - 3*b**3 + 3*b + b**2 = 0.
0, 1
Let s be 1 - (-3)/(-6)*4/(-2). Factor 27/7*c - 27/7 - 9/7*c**s + 1/7*c**3.
(c - 3)**3/7
Let r(w) = w**2 - w + 5. Let m = -3 - -3. Let l be r(m). Determine p, given that -2*p**l - 2*p**3 + 5*p**3 - p**3 = 0.
-1, 0, 1
Let x be -2 - (-7 + 5) - (-2 + -1). Factor 2/3*z**4 - 2*z**2 - 10/3*z - 4/3 + 2/3*z**x.
2*(z - 2)*(z + 1)**3/3
Let j(v) be the third derivative of 0*v + 0*v**4 + 0*v**5 - 5/1008*v**8 + 0*v**3 - 1/210*v**7 + 1/180*v**6 + 0 - 2*v**2. Suppose j(g) = 0. Calculate g.
-1, 0, 2/5
Let s be (9/2)/9*(-4)/(-30). Let i(y) be the third derivative of 2*y**2 + 0 + 0*y + s*y**4 + 1/60*y**5 - 2/15*y**3. Factor i(h).
(h + 2)*(5*h - 2)/5
Let k be 0 - 9/72*(-5 - 1). Solve 0 + k*j**3 + 0*j + 1/4*j**5 - 3/4*j**4 - 1/4*j**2 = 0.
0, 1
Let w(d) be the second derivative of -d**6/120 + d**4/8 - 2*d**3/3 - 2*d. Let b(l) be the second derivative of w(l). Determine q so that b(q) = 0.
-1, 1
Let t(q) be the first derivative of -2*q**3/21 + 2*q**2 - 14*q + 5. Let t(b) = 0. What is b?
7
Let -5/2*s + 5/2*s**2 - 5/6*s**3 + 5/6 = 0. What is s?
1
Factor -4/5*k**2 + 0 + 1/10*k**3 + 8/5*k.
k*(k - 4)**2/10
Let z(j) be the third derivative of -j**7/1260 - j**6/360 + j**5/360 + j**4/72 + 5*j**2. Factor z(v).
-v*(v - 1)*(v + 1)*(v + 2)/6
Let k(a) be the third derivative of -a**7/840 + a**6/360 + a**5/120 + a**4/8 + 3*a**2. Let w(n) be the second derivative of k(n). Determine s so that w(s) = 0.
-1/3, 1
Let y = -17 + 17. Determine i so that -12 - 9*i**3 - 21*i - 24*i**2 + y + 6 = 0.
-1, -2/3
Let t be (4 + -6)/(-2*(-3)/(-2)). Factor t*n**2 + 2/3 + 4/3*n.
2*(n + 1)**2/3
Factor 4/5*j**4 - 4/5*j**2 + 0 - 4/5*j + 4/5*j**3.
4*j*(j - 1)*(j + 1)**2/5
Let p(v) be the second derivative of -v**4/4 + v**3 - 3*v**2/2 + 3*v. Determine g so that p(g) = 0.
1
Let z(r) be the third derivative of -r**9/17280 - r**8/4480 - r**7/5040 - r**5/30 - 8*r**2. Let p(o) be the third derivative of z(o). Factor p(v).
-v*(v + 1)*(7*v + 2)/2
What is w in 1/2*w**2 - 1 + 1/2*w = 0?
-2, 1
Let x(h) = 62*h**3 - 152*h**2 + 100*h - 4. Let t(r) = r**3 - r**2 + r + 1. Let k(g) = 12*t(g) - x(g). Solve k(m) = 0.
2/5, 2
Let m(y) be the second derivative of y**6/45 - y**5/10 + y**4/6 - y**3/9 - 6*y. Factor m(x).
2*x*(x - 1)**3/3
Let z = -1/1343 - -1427/112812. Let n(v) be the third derivative of 0 - v**2 + 0*v**3 + 1/210*v**5 + z*v**4 + 0*v. Factor n(l).
2*l*(l + 1)/7
Suppose 5*x = 4*r + 2, 2*x + 0*x = -5*r + 14. Determine p, given that -13*p - 6 + 20*p**r + 3 + 5 = 0.
1/4, 2/5
Let w(s) = -25*s - 1. Let o be w(-2). Let u = 345/7 - o. Factor -4/7 - 6/7*y - u*y**2.
-2*(y + 1)*(y + 2)/7
Suppose 4*v - 6*v = -40. Let u be (-92)/v + 2 + 3. Solve -4/5*j**2 + 0*j + 2/5*j**4 + u + 0*j**3 = 0 for j.
-1, 1
Suppose -2*l - 9 + 49 = -4*r, 88 = 5*l - 4*r. Factor l*f**2 - 3*f**2 - 28*f**4 + 6*f**3 + 7*f**3 - 3*f + 5*f.
-f*(f - 1)*(4*f + 1)*(7*f + 2)
Let m be (2 + 3/1)*2. Let r be (-4)/m - 282/(-30). Determine k, given that -2*k**2 + 0*k**2 + r - 7 = 0.
-1, 1
Let u(d) = -4*d**3 - 2. Let m(t) = -t**3 - t**2 + t - 1. Let y = 10 + -12. Let l(a) = y*u(a) + 6*m(a). Factor l(i).
2*(i - 1)**3
Let r = 112 - 109. Determine y so that -3/4*y**3 + 21/4*y**2 - r + 0*y - 9/4*y**4 + 3/4*y**5 = 0.
-1, 1, 2
Let o(w) be the first derivative of w**3/3 - 3*w**2/2 + 2*w + 27. Factor o(p).
(p - 2)*(p - 1)
Let h = -11/6 + 13/6. Let k(s) be the first derivative of 2/3*s**4 + 1 - 4/3*s**3 - h*s**2 - 1/3*s**6 + 4/3*s + 8/15*s**5. Suppose k(b) = 0. Calculate b.
-1, -2/3, 1
Let t(o) be the first derivative of -o**4/2 + 64*o**3/3 - 256*o**2 + 53. Factor t(s).
-2*s*(s - 16)**2
Let h = -5/117 + 2/13. Let j(f) be the third derivative of -h*f**3 - 1/360*f**6 + 1/24*f**4 + 2*f**2 + 0 + 0*f + 0*f**5. Suppose j(l) = 0. Calculate l.
-2, 1
Let g be (-30)/72*16/(-30). Sol | {
"pile_set_name": "DM Mathematics"
} |
(c) 3/4 (d) 17/3 (e) n
d
Let q = 2400/7 - 62421/182. Which is the second biggest value? (a) -2/183 (b) q (c) -1/2
b
Let o = -0.4 + 0.1. Let p = 547 - 189. Let q = 2863/8 - p. Which is the biggest value? (a) 4 (b) q (c) o (d) 0.3
a
Let y be ((-2)/4)/1 + 21/6. Suppose -y*w + 0*w = 12. Let r be 146/(-30) + (-6)/(-30) - w. What is the second biggest value in -4, r, 4, -14?
r
Let o(l) = -3*l**2 - 63*l - 169. Let z be o(-3). Which is the biggest value? (a) z (b) -1 (c) 7 (d) 2/7 (e) -3
c
Let u be 1*-3 - (122 - 61). Which is the second smallest value? (a) 3/4 (b) -0.5 (c) 1/6 (d) u
b
Let j = -1 + -1. Let g = -10 + j. Let q be 10/8*1288/(-5635). Which is the third biggest value? (a) -4/9 (b) g (c) q
b
Let y = -4840 - -4835. Let g = 2.02 + -0.02. Let b = -27.2 + 28. What is the second smallest value in g, y, b?
b
Let n = -4386 - -4390. Which is the third smallest value? (a) 6 (b) 0 (c) 7 (d) 2/13 (e) n
e
Let z = 12.45 - 11.45. Which is the smallest value? (a) -3 (b) 4 (c) -1/2 (d) z (e) -0.06
a
Suppose 0*n = -4*n - 16. Let f = -285.2 - -285. What is the third biggest value in f, n, 2.4?
n
Let z = 4669/1698 + 1/3396. What is the third smallest value in z, -2/5, 16?
16
Let f = -275 - -383. Let u = -108.4 + f. What is the second smallest value in u, 0.23, -0.3?
-0.3
Let p = 1081/6 - 179. Let n be (-2 + -8)*(36/(-30))/3. Suppose w + n = 4*f, 5*f = 2*w + 2*w + 16. Which is the third biggest value? (a) p (b) w (c) -2/7
b
Let i = -2 - 3. Let f = -120.871 + 58.871. Which is the biggest value? (a) 3 (b) f (c) i
a
Let l = -2420.19 - -2445. Let t = -25 + l. Let i = -1.19 - t. Which is the third smallest value? (a) i (b) 54 (c) -4
b
Suppose 134*t - 30 + 26 = 398. Which is the biggest value? (a) -0.162 (b) -2 (c) t
c
Let k = 8 + -6. Let x(q) = -q**3 + 35*q**2 + 38*q - 73. Suppose 30*m - 1019 = 61. Let s be x(m). Which is the second smallest value? (a) s (b) 0 (c) k
b
Let t = 14 + -12.8. Let d = t + -11.8. Let f = -11 - d. What is the second biggest value in f, 5, 0.3?
0.3
Let p be 8/116 + 507/(-12818). Let n be 0 - ((-14)/10 - -1). Which is the second biggest value? (a) -0.3 (b) 1 (c) n (d) p
c
Let r be 256/792 - 2/(-9). Let b(p) = p**2 - 63*p + 177. Let m be b(3). What is the smallest value in r, -1/10, m?
m
Let x = 0.8 + -4.8. Let r = -14 + 20. Suppose -5*q + z = 22, -129*q + 36 = -134*q + 3*z. Which is the third biggest value? (a) x (b) -0.3 (c) r (d) q
d
Let o = 778 + -310. Let i = -465 + o. Let v = -1.4 + 1. What is the second smallest value in i, v, 4?
i
Let w(i) = 4*i**2 - i - 1. Let a be w(-1). Let o = 111343 - 111354. What is the smallest value in o, 0.2, a?
o
Let j = 9196 - 9196.1. What is the fourth biggest value in j, 12, -2, -1/4, 0.3?
-1/4
Let v = -216.1 - -24.1. Let l = 196 + v. Which is the smallest value? (a) 2/13 (b) -3/2 (c) l
b
Let r = -1606.6 - -1606.7. Which is the fourth biggest value? (a) -5 (b) -19 (c) r (d) -1
b
Let k = 0.87 - -552.13. Let w = k + -528. What is the second smallest value in w, 10, -0.1, 1?
1
Let x = -4.632 - -4.932. Which is the fifth smallest value? (a) -11 (b) x (c) -0.3 (d) -1/3 (e) 5/4
e
Let t = 2 - 38. Let s = -2 + t. Let r = 37.7 + s. What is the third smallest value in 7, 5, r, -5?
5
Let p = -0.25 - 0.15. Let t be (-155)/2*2/4*4. Let a = t + 1087/7. What is the smallest value in -3, p, -2, a?
-3
Let s = 6429 - 6488. Which is the fourth biggest value? (a) -3 (b) -0.9 (c) s (d) 5
c
Let j = 0.48 - -0.02. Let f(t) = -t - 2. Let s be f(2). Let h = -11549.81 + 11550. Which is the biggest value? (a) s (b) h (c) j
c
Let x = 0.11664 - -0.28336. What is the fourth smallest value in 0.1, -3, 58, x?
58
Let g be (-17)/(-680)*20982/1. Let p = g + -2859/5. Let m = -47 - p. Which is the biggest value? (a) 5 (b) 0.7 (c) m (d) 0
a
Let s = -432/43 - -1685/172. Let q be 0/(-2) - 3/(-30). Which is the second biggest value? (a) -7 (b) 4/5 (c) s (d) q
d
Let i = 5.687 + -5.287. Which is the fourth smallest value? (a) i (b) 3/34 (c) -0.1 (d) 5
d
Let f(q) = -q**3 + 63*q**2 + 201*q - 142. Let y be f(66). Which is the second smallest value? (a) -3 (b) -0.1 (c) y
b
Let z = 79124 - 79127. Let a = 3 - 12. What is the third biggest value in a, -5, z, 4?
-5
Let i(l) = l**2 + 47*l + 90. Let o be i(-46). Which is the smallest value? (a) -0.07 (b) o (c) 6
a
Let f = 339 + -338.9. Let r be -3 + 12/(-8)*78/(-45). Which is the third biggest value? (a) r (b) 5 (c) f (d) 13
c
Let h = -9458 + 9457.9. Which is the second biggest value? (a) -1 (b) 1 (c) 2 (d) h
b
Let q = 6.34 + -6.2931. Let f = 0.1269 - q. What is the smallest value in -3, -15, f?
-15
Let s be (-80)/(-319) + (-12)/66. Which is the third smallest value? (a) -1/9 (b) s (c) -8
b
Let k = 1078 - 55. Let x = -1079.3 + k. Let r = x + 54. Which is the third biggest value? (a) r (b) 3 (c) -3/2
a
Let x = 157 - -68. Let z = 230 - x. What is the smallest value in -2/9, z, 1/7, -2/23?
-2/9
Let q = -138 - -140. Which is the fourth biggest value? (a) -2/11 (b) -7 (c) q (d) 3
b
Let l = 16.6 + 9. Let r = 26 - l. Which is the smallest value? (a) -70 (b) -2 (c) r
a
Let m(t) be the third derivative of t**4/24 - 5*t**3/6 + 9*t**2. Let o be m(5). Suppose -4*n - n - 10 = o. What is the third smallest value in n, -6, -0.3?
-0.3
Suppose -286*f + 270*f = -64. Let y = 30/7 + -125/21. Let k be (-15)/14 + (-2)/(-4). Which is the smallest value? (a) k (b) y (c) 1 (d) f
b
Let i be 12/(-66) + (-10)/(-11220)*138. What is the biggest value in 85, i, -1/4?
85
Let w = 2.9284 + 0.0716. Which is the third smallest value? (a) 40/7 (b) 0.5 (c) w (d) -5
c
Let l = -7326 - -7321. Which is the third biggest value? (a) -2/15 (b) -3 (c) l (d) -0.5 (e) 22/3
d
Suppose 0 = -w - n - 3 - 6, -4*w + 9 = -n. Which is the fourth smallest value? (a) 5 (b) -2/111 (c) w (d) 0.5 (e) 0.1
d
Let r = 0.136 - 0.18. Let f = 109.976 + -110.02. Let n = f - r. Which is the second smallest value? (a) n (b) 18 (c) -2
a
Let q = -2 + 0.97. Let k = q - 19.97. Let l = 0.05 + -3.05. Which is the second smallest value? (a) 2 (b) k (c) l
c
Let z = 231.31 + -230.31. Let k = 9.3 - 0.3. Let q = -18 + 53/3. Which is the third biggest value? (a) q (b) z (c) -5 (d) k
a
Let t = 0.16 + 2.84. Let b = 0.5422 + -0.5022. What is the smallest value in -5, t, b, 1/6?
-5
Let a = 3104 + -3103.8. What is the smallest value in -4, a, -0.37?
-4
Suppose 0 = 4*h + 2*r + 1582, 7*h + 396 = 6*h - r. Let v = h - -5137/13. Which is the third smallest value? (a) 1/6 (b) -2/65 (c) v
a
Let m = 2.813 + -2.513. What is the second biggest value in 3/11, 29, m?
m
Let n = -2/795 + -524/2385. Let c = 544.5 - 545. What is the second smallest value in n, 0.1, -4, c?
c
Let y = -0.145 + -0.155. Suppose x - 2 - 6 = 0. Let h be 3 - (10/x + 1). Which is the fourth smallest value? (a) -2/5 (b) 0 (c) h (d) y
c
Let t = -92622 - -92623. Suppose -3*x = k + 6, 0*k + 5*x = 2*k + 1. What is the fourth biggest value in t, -1, -15, k?
-15
Let n = -118 - -118.2. Let z be -5 + (-2 - 2)/(-2). Let l = 136 - 136.4. What is the smallest value in z, l, n?
z
Let t = 0.7976 + 0.2024. Which is the third smallest value? (a) t (b) 4 (c) -64/11 (d) -3/5
a
Let k = -0.34 + -0.06. Let y be -30 + 0 + 3077/102. Which is the second smallest value? (a) y (b) -4 (c) -0.7 (d) k
c
Let t = -9125.775543 + 12.662543. Let y = t - -9107. Let f = y + 0.113. Which is the third smallest value? (a) 3 (b) f (c) -1
a
Let a = -0.17 - -0.29. Let o = -68.12 + 66. Let f = o + a. What is the second biggest value in -14, -0.4, f?
f
Let s(u) = -8*u + 11. Let q be s(2). Let f be q - -5 - 16/(-88). Which is the fourth smallest value? (a) -2 (b) -0.2 (c) f (d) -4
c
Let i = 301 - 105. Let j = 191 - i. What is the second biggest value in -4, j, 6, -0.5?
-0.5
Let h = -38.89 + 36.89. What is the second biggest value in 7, -6, -2/13, h?
-2/13
Let t(d) = -d**2 + 23*d - 118. Let u be t(15). Suppose u*z + 29 = -3*k, 2*k = -3*k - z - 46. What is the biggest value in 5, k, 1?
5
Let l = 19.28 - 51.28. Which is the fifth smallest value? (a) 5 (b) -0.2 (c) 4 (d) l (e) 0.03
a
Suppose 17*r - 2*r - 20640 = 0. Let g(z) = -2*z**2 + z**2 - 61 + r*z - 1398*z. Let w be g(-19). Which is the third smallest value? (a) | {
"pile_set_name": "DM Mathematics"
} |
descending order.
6, 5, 4, 3, -7
Put -4, 3, -3, 38, -5 in descending order.
38, 3, -3, -4, -5
Put -1, 3, 184 in increasing order.
-1, 3, 184
Sort -1, 0, -58.
-58, -1, 0
Sort -5, -47, -1 in ascending order.
-47, -5, -1
Sort -1, 0, -8, 2.
-8, -1, 0, 2
Put -12, 32, 0 in descending order.
32, 0, -12
Sort -2, 4, -1, -14 in decreasing order.
4, -1, -2, -14
Sort 0, 2, -33, -0.2 in ascending order.
-33, -0.2, 0, 2
Sort -23, -4, 20 in increasing order.
-23, -4, 20
Sort 1, 53, 0, -5 in ascending order.
-5, 0, 1, 53
Sort 12/5, 2/13, 33.
2/13, 12/5, 33
Put -21, 5, 0, -6 in decreasing order.
5, 0, -6, -21
Put -5/3, -4, 5/2 in increasing order.
-4, -5/3, 5/2
Sort -1/3, -3/11, 1 in decreasing order.
1, -3/11, -1/3
Sort 4, -2/11, 3/5, -2/5 in descending order.
4, 3/5, -2/11, -2/5
Put 4, -1/6, -121/2, -5, 1/8 in increasing order.
-121/2, -5, -1/6, 1/8, 4
Sort 0.5, -5, 40.
-5, 0.5, 40
Sort 0, 1, 9, 22, -2 in descending order.
22, 9, 1, 0, -2
Sort -6, -18, -1.
-18, -6, -1
Put 0, -1, 54, 1 in decreasing order.
54, 1, 0, -1
Put -2, 105, 4 in descending order.
105, 4, -2
Sort -5, 119, 1, 75 in decreasing order.
119, 75, 1, -5
Sort 1.6, -1/7, 4, 2.3 in descending order.
4, 2.3, 1.6, -1/7
Put 177, 3, -106 in ascending order.
-106, 3, 177
Put -2/17, 4, -0.3, -5, 1 in decreasing order.
4, 1, -2/17, -0.3, -5
Sort -113, 2, -4, 0, 1 in ascending order.
-113, -4, 0, 1, 2
Sort 3, -249/4, -3 in ascending order.
-249/4, -3, 3
Sort -0.17, -2/11, -4 in decreasing order.
-0.17, -2/11, -4
Sort -4, -2, -0.04, 18.
-4, -2, -0.04, 18
Sort 38, 2, 0 in decreasing order.
38, 2, 0
Sort -8.4, 0.1, -0.4, 5 in descending order.
5, 0.1, -0.4, -8.4
Sort 112, -1, 0 in decreasing order.
112, 0, -1
Put 4, 7, -13, 3 in descending order.
7, 4, 3, -13
Put 1, 29, 0 in decreasing order.
29, 1, 0
Put 4, 0.4, 2/35, 2 in descending order.
4, 2, 0.4, 2/35
Sort 119, 4, -5 in descending order.
119, 4, -5
Put 4, -0.085, 3 in decreasing order.
4, 3, -0.085
Sort -14, 20, -3, 1 in increasing order.
-14, -3, 1, 20
Put 2341, -2, 5 in increasing order.
-2, 5, 2341
Put -4, 7, -9 in decreasing order.
7, -4, -9
Sort 3/16, -0.2, -1/4, 0 in ascending order.
-1/4, -0.2, 0, 3/16
Sort -0.4, 2/45, -1/4.
-0.4, -1/4, 2/45
Put -2, 306, -7 in descending order.
306, -2, -7
Sort -9, 153, 0.1 in descending order.
153, 0.1, -9
Sort -2, -1, 3, -0.3 in increasing order.
-2, -1, -0.3, 3
Put -92, 3, -1, 1, -3 in increasing order.
-92, -3, -1, 1, 3
Sort 1, -14, 5, -1 in ascending order.
-14, -1, 1, 5
Sort 0, 7, 9 in increasing order.
0, 7, 9
Sort -5, 0, 1/2253.
-5, 0, 1/2253
Put -9, -0.1, -104 in descending order.
-0.1, -9, -104
Put -4, 1, -5, 5 in ascending order.
-5, -4, 1, 5
Put 3, 15, 4, -3 in increasing order.
-3, 3, 4, 15
Sort -3, -0.04, -9, 1/2 in increasing order.
-9, -3, -0.04, 1/2
Put -2, 115, 1 in ascending order.
-2, 1, 115
Sort -6, 1, 5, 85 in decreasing order.
85, 5, 1, -6
Sort -3, -21, -48, -1 in ascending order.
-48, -21, -3, -1
Sort -28, 18, 4, -4 in decreasing order.
18, 4, -4, -28
Put 2, 0, -2, -31, 1 in ascending order.
-31, -2, 0, 1, 2
Put 206, -3, -5 in decreasing order.
206, -3, -5
Put 14, -2, 12 in descending order.
14, 12, -2
Put -11, 3, -42 in increasing order.
-42, -11, 3
Put 5, -143, -4 in increasing order.
-143, -4, 5
Sort 0.03, 1/2, 0.4 in increasing order.
0.03, 0.4, 1/2
Sort 4, -3, -247, -1.
-247, -3, -1, 4
Sort -5, 4, -6, -3, 66 in descending order.
66, 4, -3, -5, -6
Put -6, -2, 2, -27 in decreasing order.
2, -2, -6, -27
Sort -383, 2, 4, 1/5 in decreasing order.
4, 2, 1/5, -383
Sort 0, -1, 1 in ascending order.
-1, 0, 1
Sort -2, -0.1, 16/7 in ascending order.
-2, -0.1, 16/7
Put -36, -1/2, -4/3, 2/9 in ascending order.
-36, -4/3, -1/2, 2/9
Sort -3, 5, 367, -1, -5 in ascending order.
-5, -3, -1, 5, 367
Sort -11, -2, 4, 1/11 in decreasing order.
4, 1/11, -2, -11
Sort 22, 0, 1 in increasing order.
0, 1, 22
Sort 1, 0.2, -2/3, -5 in ascending order.
-5, -2/3, 0.2, 1
Sort 11, -4, 4, 7 in ascending order.
-4, 4, 7, 11
Put -4, 1, -1179 in decreasing order.
1, -4, -1179
Put 22, 3, -1, 5 in decreasing order.
22, 5, 3, -1
Sort 5/2, 1/6, 1, 2/7 in ascending order.
1/6, 2/7, 1, 5/2
Sort -1, 25, 28, 1 in descending order.
28, 25, 1, -1
Put -4, 3, -309, 0 in decreasing order.
3, 0, -4, -309
Sort -7, 1, 3 in descending order.
3, 1, -7
Sort 1, -2, 4, -46 in increasing order.
-46, -2, 1, 4
Sort -5, -3, -61, 6, 5 in descending order.
6, 5, -3, -5, -61
Put 28, -1/16, -1, -4, 3/2 in descending order.
28, 3/2, -1/16, -1, -4
Sort 5, 0, -5, 10.
-5, 0, 5, 10
Put 5, -7, -11, -4 in ascending order.
-11, -7, -4, 5
Put -3/2, -0.2, -0.156 in ascending order.
-3/2, -0.2, -0.156
Sort 3, 4, -120 in increasing order.
-120, 3, 4
Sort -39, 4, 3 in decreasing order.
4, 3, -39
Put 4, -83, 1, 2 in ascending order.
-83, 1, 2, 4
Put -0.5, -5, 1/35, -1/4 in descending order.
1/35, -1/4, -0.5, -5
Sort 5, -13, 9, -1, -2 in decreasing order.
9, 5, -1, -2, -13
Sort 3, -195, -5 in decreasing order.
3, -5, -195
Sort -2, 0.2, -4 in descending order.
0.2, -2, -4
Sort 5, -5, 2 in decreasing order.
5, 2, -5
Sort 1, -6, 0.4, 0.3.
-6, 0.3, 0.4, 1
Put 15, 0, -3, -17 in increasing order.
-17, -3, 0, 15
Put 4, -19, 8, -2, 2 in decreasing order.
8, 4, 2, -2, -19
Sort -333, 3, -2 in increasing order.
-333, -2, 3
Sort 67, 1, -4, 4, 1/2.
-4, 1/2, 1, 4, 67
Put 21, 3, 4, 8, 1 in decreasing order.
21, 8, 4, 3, 1
Sort -3, 4, -47 in increasing order.
-47, -3, 4
Put -2, 69, 4, -5, 0 in descending order.
69, 4, 0, -2, -5
Sort -2, 5, 4, 8, -3 in increasing order.
-3, -2, 4, 5, 8
Sort -3, 0, -2, 3 in increasing order.
-3, -2, 0, 3
Put -219, -5, 0, 1 in decreasing order.
1, 0, -5, -219
Put -25, -1, -11 in ascending order.
-25, -11, -1
Sort -53, -0.2, 6 in increasing order.
-53, -0.2, 6
Sort 5, -2/13, -10, 2.
-10, -2/13, 2, 5
Sort -4, -3, 55, -79, 0 in decreasing order.
55, 0, -3, -4, -79
Sort 0.2, -990, 2/17 in ascending order.
-990, 2/17, 0.2
Sort 2/5, 7/2, 2, 4.
2/5, 2, 7/2, 4
Put 0.3, -3/7, -1, 2.3 in decreasing order.
2.3, 0.3, -3/7, -1
Sort 1, 0, -169, -1 in ascending order.
-169, -1, 0, 1
Sort -9, 6, -8, 4 in descending order.
6, 4, -8, -9
Put 6, 66, -4 in descending order.
66, 6, -4
Put -7, -125, 4 in descending order.
4, -7, -125
Sort 0.1, 1/7, 9, 0.2, -20 in increasing order.
-20, 0.1, 1/7, 0.2, 9
Sort 1/7, 3/4, -2, 0.4 in increasing order.
-2, 1/7, 0.4, 3/4
Put 0, 0.4, -1/26 in descending order.
0.4, 0, -1/26
Put 5, 4, 8, -2 in increasing order.
-2, 4, 5, 8
Put -1, -3, -20, -2, 5 in descending order.
5, -1, -2, -3, -20
Put 1.9, -1/17, 29 in ascending order.
-1/17, 1.9, 29
Sort 2.2, -2/3, 4, -4/7 in ascending order.
-2/3, -4/7, 2.2, 4
Sort 0.6, -4, 37.
-4, 0.6, 37
Put -3, -40, 5, 0 in descending order.
5, 0, -3, -40
Put -4, -27, -3, -5 in decreasing order.
-3, -4, -5, -27
Sort 1, 0, 9.
0, 1, 9
Sort 23, -1, 2, 5 in descending order.
23, 5, 2, -1
Sort -5, 2, -58 in ascending order.
-58, -5, 2
Sort -1, 16, 2, 1, 3 in decreasing order.
16, 3, 2, 1, -1
Sort -11, 5, -1, -3, 6 in increasing order.
-11, -3, -1, 5, 6
Sort 7, 2, 1, -22.5 in increasing order.
-22.5, 1, 2, 7
Put 3, 927, -2 in ascending order.
-2, 3, 927
Sort -1, 2/7, 5, -0.104 in descending order.
5, 2/7, -0.104, -1
Sort -7, -6, -2/7, 5 in increasing order.
-7, -6, -2/7, 5
Sort -3, 155, 18 in increasing order.
-3, 18, 155
Sort -0.3, 0.4, 0.3, 0.002, -3 in decreasing order.
0.4, 0.3, 0.002, -0.3, -3
Sort 77, -2, -55.
-55, -2, 77
Sort -4, 2, -2, 31.
-4, -2, 2, 31
Put 23, 0, 3, 14, -3 in decreasing order.
23, 14, 3, 0, -3
Sort 2/17, 4/7, -1.3 in decreasing order.
4/7, 2/17, -1.3
Sort 15, -1, 8.
-1, 8, 15
Sort -4, 0, -1000.
-1000, -4, 0
Sort -0.64, -2, 2 in decreasing order.
2, -0.64, -2
Put -3, -2, -41, 20 in ascending order.
-41, -3, -2, 20
Sort 3, 0, -3560 in decreasing order.
3, 0, -3560
Sort -2, 0.3, -0.08, -6 in decreasing order.
0.3, -0.08, -2, -6
Sort 7/2, 0, -1/2, 3.
-1/2, 0, 3, 7/2
Sort -6, -2/3, -1/10, 3/8 in descending order.
3/8, -1/10, -2/3, -6
Sort 1/4, 29/6, -2, -1.
-2, -1, 1/4, 29/6
Sort 0, -9, 42.
-9, 0, 42
Sort -12, -3, 4.
-12, -3, 4
Sort -3, 4, -2, -27 in descending order.
4, -2, -3, -27
Put -2, -5277, 4 in ascending order.
-5277, -2, 4
Sort -0.2, -3, 0.237, 0.
-3, -0.2, 0, 0.237
Sort -5, 16, 76 in decreasing order.
76, 16, -5
Sort -6, -1/5, 2.
-6, -1/5, 2
Put 36, 0.55, -5 in decreasing | {
"pile_set_name": "DM Mathematics"
} |
**3*i + 373*b**2*i**2 wrt b.
-24*b*i - 1260*i**2 - 12*i
Find the third derivative of 41*g**6 + 7*g**2 + 2*g.
4920*g**3
Find the third derivative of a**4 - 57*a**2 wrt a.
24*a
Find the second derivative of 21186*z**2 - 881*z + 12.
42372
Find the second derivative of 137*a**4 - 4*a + 9.
1644*a**2
Find the second derivative of 2*j**3*z**2 - j**3*z - j**2*z**2 - 4*j**2 + 15*j*z + 13*z**2 wrt j.
12*j*z**2 - 6*j*z - 2*z**2 - 8
What is the second derivative of 674*x**4 + 120*x - 2 wrt x?
8088*x**2
What is the third derivative of -2529*o**6 + 54*o**2 + 15?
-303480*o**3
What is the third derivative of -877*p**5 + 1586*p**2?
-52620*p**2
Find the third derivative of 110*l**3 + 564*l**2 wrt l.
660
Find the second derivative of -216*t**5 - 13*t**2 + 12789*t + 2 wrt t.
-4320*t**3 - 26
What is the first derivative of -135*b**3 - 186?
-405*b**2
Differentiate h**2*v**2 - 25*h**2 + 4*v**2 - 5*v wrt h.
2*h*v**2 - 50*h
Find the third derivative of -1043*n**4 + 2*n**2 + 522 wrt n.
-25032*n
What is the second derivative of -1038*s**4 - 468*s wrt s?
-12456*s**2
Find the first derivative of -2*j**2 - 8*j + 415 wrt j.
-4*j - 8
Find the second derivative of 65*a*r**2 - 1403*a*r + 10*r**2 wrt r.
130*a + 20
What is the second derivative of 1760*s**2 + 684*s - 1?
3520
What is the first derivative of -61*t*v + t - 25*v + 5 wrt t?
-61*v + 1
Find the second derivative of 5*d**4*w + 6*d**4 + d*w - 27*w wrt d.
60*d**2*w + 72*d**2
What is the derivative of -814*r + 1482?
-814
What is the second derivative of k*n**4 + 8*k*n - 3*k - 126*n**4 + 1 wrt n?
12*k*n**2 - 1512*n**2
Differentiate -7*o**3*x**3 + 605*o**3 - 9*x**3 wrt x.
-21*o**3*x**2 - 27*x**2
Find the second derivative of -5522*u**2 + 382*u - 1.
-11044
Find the first derivative of -7*j**3*x**3 - j**3 - 129*x**3 wrt j.
-21*j**2*x**3 - 3*j**2
What is the second derivative of 1437*g**5 - 2845*g?
28740*g**3
Find the second derivative of -27*g**2 - 149*g wrt g.
-54
Find the second derivative of 209*g**2 + 2*g - 2 wrt g.
418
What is the first derivative of s**3 + 5*s + 213?
3*s**2 + 5
What is the second derivative of -13*j**2*q**3 - 6*j**2 + j*q**3 - 21*j + 3*q**3 wrt j?
-26*q**3 - 12
Find the third derivative of -159*f**3 - 155*f**2.
-954
What is the third derivative of -27*i**3*n**3*z + 2*i**3*n**3 - 21*i**3*n**2*z - i**3*z - 2*i**2*n**2*z + 3*i*n**3*z wrt n?
-162*i**3*z + 12*i**3 + 18*i*z
What is the second derivative of 199*h*w**2 - 51*h*w + 2*w wrt w?
398*h
Differentiate 37*f**2*m**3 - 2*f**2*m + 135*f**2 with respect to m.
111*f**2*m**2 - 2*f**2
Find the second derivative of -2*d**4*h**3 - 5*d**3*h**3 + d*h + 187*h**3 wrt d.
-24*d**2*h**3 - 30*d*h**3
What is the first derivative of -27*q**3*x - 2*q**3 + q*x**4 + q*x wrt x?
-27*q**3 + 4*q*x**3 + q
What is the third derivative of -301*d**4 + d**3 - 1541*d**2 wrt d?
-7224*d + 6
What is the second derivative of -10*h**3 + 300*h**2*l - 4*h*l - 36*h + 2*l wrt h?
-60*h + 600*l
What is the third derivative of 16*h**2*m**3 - h**2*m**2 + 4*h**2*m + h*m**5 - 11*h*m**3 + 24*h*m - m**2 wrt m?
96*h**2 + 60*h*m**2 - 66*h
Find the third derivative of -12238*a*k**3 + a*k - 111*k**2 - 2*k - 5 wrt k.
-73428*a
Find the third derivative of 9*k**5 - 3*k**4*z - 2*k**2*z - 134*k*z - z wrt k.
540*k**2 - 72*k*z
Find the second derivative of 1414*f**3 - 81*f + 7 wrt f.
8484*f
Find the second derivative of -138*d**2*y**2 + 615*d**2*y + 2*d**2 + 5*y**5 wrt y.
-276*d**2 + 100*y**3
What is the third derivative of -52*r**3*s**3 - 3*r**3*s**2 + 3*r**2*s**2 + 3*r*s**3 wrt s?
-312*r**3 + 18*r
Find the first derivative of -223*m**4 - 62.
-892*m**3
What is the first derivative of -1291*l - 25?
-1291
Find the third derivative of -443*m**6 + 2*m**2 - 72 wrt m.
-53160*m**3
Differentiate -51*b*y**3 - b*y**2 - b + 15 with respect to y.
-153*b*y**2 - 2*b*y
Find the third derivative of -g**2*t**3*z + 10*g**2*t**2 + 2*g**2*t*z + g*t**2*z - 100*t**3*z wrt t.
-6*g**2*z - 600*z
Find the third derivative of 394*d**4 - 123*d**2 - 9*d.
9456*d
Find the second derivative of -148*t**4 + 2*t**2 + 5*t - 5.
-1776*t**2 + 4
Find the third derivative of -382*f**3 - 529*f**2.
-2292
What is the second derivative of -87*q**2 + 3*q + 30 wrt q?
-174
What is the first derivative of d**3 + d**2 - 284*d + 79?
3*d**2 + 2*d - 284
Find the second derivative of -377*l**4*y**3 - 2*l*y**3 + 183*y**3 - 2 wrt l.
-4524*l**2*y**3
What is the second derivative of -26*n**5 - 6*n**3 + 2*n - 12076 wrt n?
-520*n**3 - 36*n
Find the third derivative of -12*c*o**3*x - c*o**3 + 4*c*o**2*x - 11*c*o**2 - c*x + 10*o**3*x + 3*o**2*x wrt o.
-72*c*x - 6*c + 60*x
What is the first derivative of 17717*b**3 + 6831 wrt b?
53151*b**2
Find the second derivative of -2*t**2*u**2*y**2 - 2*t**2*u**2 - 2*t**2*y + 89*t*u*y + 2*u**3*y**2 + u**3 + 178*y**2 wrt y.
-4*t**2*u**2 + 4*u**3 + 356
Differentiate 78*p*r**2*u**3 - p*u**3 - 3*r**2*u**2 + 532*u**3 wrt p.
78*r**2*u**3 - u**3
What is the second derivative of -d**5 + 242*d**4 - 21*d - 2 wrt d?
-20*d**3 + 2904*d**2
Find the second derivative of 30*d*i*o**2 - 98*d*i + 2*d*o + 2*i*o**2 + 3*i + 4*o**2 wrt o.
60*d*i + 4*i + 8
Find the third derivative of -z**4 + 5581*z**3 - 6822*z**2 wrt z.
-24*z + 33486
What is the first derivative of 304*i + 530?
304
Find the second derivative of 5662*a**2*b**2 - a**2*b - 1914*a**2 - 3*b**2 wrt b.
11324*a**2 - 6
Find the second derivative of -13*f**5*j - 8*f**5 + f**2*j - 2*f*j + f + 2093*j wrt f.
-260*f**3*j - 160*f**3 + 2*j
What is the first derivative of 11*w**2*x**2 + 124*w**2 - 15*w*x**3 + 2 wrt x?
22*w**2*x - 45*w*x**2
What is the third derivative of -741*o**6 + 336*o**2 - 3?
-88920*o**3
What is the third derivative of -9*f**6 - 29*f**3 - 2543*f**2?
-1080*f**3 - 174
Find the third derivative of -4965*l**4 - 2*l**3 + 3*l**2 - 659*l.
-119160*l - 12
Find the first derivative of -1063*g**2*n - 2187*g**2 wrt n.
-1063*g**2
Find the third derivative of -g**4 - 54*g**3 - 624*g**2.
-24*g - 324
Find the second derivative of 2*z**4 + 86*z**3 + 20*z + 5 wrt z.
24*z**2 + 516*z
What is the third derivative of -2*i**2*k**4 + i**2 + 3*i*k**3 - 3*k**6 + k**2 + 53 wrt k?
-48*i**2*k + 18*i - 360*k**3
Find the first derivative of -7*d**3*l - 3*d**2*l**2 - 3*d - 3*l**2 + 31 wrt d.
-21*d**2*l - 6*d*l**2 - 3
Differentiate 8*k**4*w - 30*k**3*w**2 + 608*w**2 wrt k.
32*k**3*w - 90*k**2*w**2
Find the second derivative of -546*a**3 - a**2 + 4*a + 2 wrt a.
-3276*a - 2
What is the third derivative of 705*d*p**3*t**3 - 5*d*p**3*t**2 + 27*d*p**2 + 2*d*t**2 - 2*p*t**2 + 10*t**3 wrt p?
4230*d*t**3 - 30*d*t**2
What is the first derivative of k**3*w*z - k**3 + k*w*z**2 - 2*w*z**4 + 6*w + 1 wrt z?
k**3*w + 2*k*w*z - 8*w*z**3
What is the second derivative of 41*g**5*x**3 - 10*g**5 + 4*g*x**3 - 6*g*x + 10*x**3 wrt g?
820*g**3*x**3 - 200*g**3
What is the third derivative of -1942*m**3 - 9*m**2 + 2*m + 5 wrt m?
-11652
Find the third derivative of -g**5*z - 2704*g**4*z - 85*g**2 + 3*z - 2 wrt g.
-60*g**2*z - 64896*g*z
What is the first derivative of -296*q**2*x**2 - 150*q**2 + q*x**4 - 2 wrt x?
-592*q**2*x + 4*q*x**3
Find the third derivative of -12*r**5 - 9*r**4 + r**3 - 1857*r**2 + r - 1.
-720*r**2 - 216*r + 6
What is the third derivative of -116*r**3 - r**2 - 32?
-696
What is the derivative of 68*p + 12835 wrt p?
68
What is the derivative of 732*t**4 - 572 wrt t?
2928*t**3
Find the third derivative of -888*o**3*v**3 - o**3*v**2 - 3*o**3*v + 76*o**2*v wrt v.
-5328*o**3
Differentiate 41*d**2*l**2 - d**2*l - 630*d**2 - 4*d*l**3 wrt l.
82*d**2*l - d**2 - 12*d*l**2
Differentiate -4*u**3*w*z - 28*u*w**2 + 2*u*z - 37*w**2 - 3*z - 2 with respect to u.
-12*u**2*w*z - 28*w**2 + 2*z
Find the first derivative of -2921*v - 9695.
-2921
Find the third derivative of 2*g**5 + 12*g**3 - 18*g**2 - 2*g.
120*g**2 + 72
What is the third derivative of -11*l*z**5 - 2*l*z**3 - 37*l*z**2 - l - 3*z**4 + z**2 wrt z?
-660*l*z**2 - 12*l - 72*z
Differentiate 42*w**2 + w + 1753.
84*w + 1
What is the second derivative of 525*b**2 - 747*b?
1050
What is the first derivative of -2*q*u**2 + 40*q*u + 127*q wrt u?
-4*q*u + 40*q
Find the third derivative of -2*r**6*s + 491*r**3*s**2 - 14*r**2*s**2 - 5*r**2*s wrt r.
-240*r**3*s + 2946*s**2
Find the second derivative of 46*g*w**2 + 6*g*w - 3*g - 3*w**2 + 6*w wrt w.
92*g - 6
What is the second derivative of 132*m* | {
"pile_set_name": "DM Mathematics"
} |
-0.003
Let x = -0.06859 + -1.31891. Round x to 1 dp.
-1.4
Let u be (1/3)/(13/156). Suppose 4*v = -5*q + 213, -q - u*q - 72 = -v. Suppose v*c = 52*c - 1360. What is c rounded to the nearest 10?
-270
Let t = 3069 - 3146.49. Round t to the nearest ten.
-80
Suppose 1517*n = 1528*n - 5874. Let j be (38*1)/((-1)/10). Let h = n + j. What is h rounded to the nearest 10?
150
Let v = -72626.0265 + 72717. Let d = 70.4 + 20.6. Let q = d - v. What is q rounded to three dps?
0.027
Let h = -9659 - -15178. Suppose h = -4*c + 4*o - 1025, -4*c - 3*o = 6558. Round c to the nearest one hundred.
-1600
Let b = -32.0000432 - 62.9999626. Let k = -121 + 216. Let x = b + k. Round x to 6 dps.
-0.000006
Let h = 2.465 + 0.035. Let d = h + -2.484. Let k = d - -0.056. Round k to 2 dps.
0.07
Let b = 53 - 173. Let f = 1229 + -1285.9. Let z = b - f. What is z rounded to 0 decimal places?
-63
Let b = 1.03 - 25.43. Let u = 12.8 - b. Round u to 0 decimal places.
37
Let u = -1515.75 + 1515.851409. Round u to 3 decimal places.
0.101
Let c = -452503.5 + 65798.5. Let k = -386705.1099802 - c. Let b = 0.11 + k. What is b rounded to six decimal places?
0.00002
Let i = -4080890.2299588 + 4080889. Let g = i + 1.23. What is g rounded to five decimal places?
0.00004
Let l = -42 + 37. Let u(j) = -7960*j**2 - 2*j - 10. Let z be u(l). Round z to the nearest 100000.
-200000
Suppose -16*a + f - 6149 = -14*a, 5*a + 15375 = 5*f. Round a to the nearest one thousand.
-3000
Let m = 7113.8 + -6569. What is m rounded to the nearest 100?
500
Let r = -2386 + 2255.946. Let t = 0.054 + r. Let q = t - -129.99286. What is q rounded to three decimal places?
-0.007
Let q = 0.073 + -0.131. Let c = 1.1 - 1.0525. Let l = c + q. What is l rounded to three decimal places?
-0.011
Suppose 0 = 79*k - 80*k - t - 54302, -2*t = -k - 54296. What is k rounded to the nearest ten thousand?
-50000
Let k = -25889 - -25889.026142. What is k rounded to 3 dps?
0.026
Let b = 71.5116 - -0.0884. Let n = b - 27.8. Round n to the nearest 10.
40
Let l be 108/(-3) + 0 - -6. Let g be (-11 - l/5)*8140. What is g rounded to the nearest ten thousand?
-40000
Let f = 0.027 + -0.557. Let b = f + -0.04. Let v = -0.570043 - b. Round v to four dps.
0
Let u = -27.78 - -27.78000054062. What is u rounded to seven dps?
0.0000005
Let h = 728161.3590334 - 728232.359. Let j = 71 + h. What is j rounded to 6 decimal places?
0.000033
Suppose 3*m = b + 14 + 2, -2*m = 5*b + 12. Let o be m + -990006 + 0 + 2. Round o to the nearest one hundred thousand.
-1000000
Let a = -99778.0000078617 - -99778. What is a rounded to 6 dps?
-0.000008
Suppose 2*s - 4*s - 911227 = 5*p, -5*p = -3*s - 1366778. Let x = -262301 - s. Round x to the nearest ten thousand.
190000
Let h = -293.847 + -73.543. What is h rounded to the nearest one hundred?
-400
Let x = -466243585.55237421 + 2.55237421. Let h = -466243515.0000047 - x. Let d = 68 - h. What is d rounded to six dps?
0.000005
Suppose 10*m + 15 = 7*m, -3*m = c + 5. Let d = c + -8. Suppose -d*x + 5*x = -11910000. What is x rounded to the nearest 100000?
-4000000
Let r(j) = -844*j**3 + 5*j**2 - 13*j - 28. Let c be r(6). What is c rounded to the nearest ten thousand?
-180000
Let j = -77269.9 + 70165. What is j rounded to the nearest one thousand?
-7000
Let b = 317.27 - 317.2639178. What is b rounded to 4 dps?
0.0061
Let d = -32 - -57. Suppose d*b = -12372607 - 8102393. Round b to the nearest 100000.
-800000
Let j = 19 + -27.6. Let g = -0.055 - -9.055. Let x = g + j. What is x rounded to the nearest integer?
0
Suppose 381*t - 194*t - 262420000 = 192*t. Round t to the nearest one hundred thousand.
-52500000
Suppose -7*v + 14 = -0*v. Suppose -6*g + v*g = -20. Let w be 21450/(-9)*(1 + g). Round w to the nearest one thousand.
-14000
Let d = -738172 - -738237.2073. Let z = -65.2 + d. What is z rounded to 3 dps?
0.007
Let z = 19.7 - 10.55. Let m = -131.9 - -123. Let d = z + m. Round d to one decimal place.
0.3
Let r = -16872 - -16884.481. Let y = 9.884 + 1.826. Let b = r - y. Round b to one dp.
0.8
Suppose 4*r - 5 = -w - 1, -3*w = 3*r - 12. Let p be (-39 - (-2 + 0))*7027. Let s be (-2)/8 + p/w. Round s to the nearest 10000.
-70000
Let q = 6976.65 + -6712. Round q to the nearest integer.
265
Let q = -7882050.892999425 - -7882145.893. Let b = -6.5 + -88.5. Let i = q + b. What is i rounded to 7 dps?
0.0000006
Let n = -3792 + 3791.99999954375. What is n rounded to seven decimal places?
-0.0000005
Let m be (9/(-6))/((-1)/12). Let r(c) = -c + 23. Let i be r(m). Suppose 0*b = -3*s - 2*b + 8159994, -i*b = 2*s - 5439985. Round s to the nearest 100000.
2700000
Let z = -7226462.209 + 7222001. Let m = z + 4461.0150141. Let k = -0.194 - m. What is k rounded to 6 dps?
-0.000014
Let q be 36/(-54) - 88/(-6). Suppose -40 = q*y - 9*y. Let h be (y - -28)*(-21*21 + 1). Round h to the nearest 1000.
-9000
Let x = 37.1275 + 1531.7825. Let p = -1578 + x. Round p to the nearest integer.
-9
Let j = 22731.8 - 25687. What is j rounded to the nearest ten?
-2960
Suppose -6*y = -4*y - 85306. Let f(j) = 1887*j - 116803*j - 2 + y*j - 189735*j. Let l be f(1). What is l rounded to the nearest ten thousand?
-260000
Let j(o) = 45000*o**2 - 4*o - 8. Let z = -90 + 88. Let m be j(z). Round m to the nearest 10000.
180000
Let h = 0.5203 - 0.5230956. What is h rounded to 5 decimal places?
-0.0028
Let w = -513 - 449. Let s = 961.998822 + w. Round s to 4 decimal places.
-0.0012
Suppose 51*r - 21184391 = -30291021 - 48880370. Round r to the nearest 1000000.
-1000000
Let c = 658 + -472. Let n = c + -185.999415. Round n to four decimal places.
0.0006
Suppose 3 + 0 = 3*g. Let s(o) = -23502*o**2 - g + 0*o - 1 - 3*o - 2*o. Let t be s(-2). Round t to the nearest ten thousand.
-90000
Suppose 33*a - 70492878 - 61177287 = 0. Suppose 26*c - a = 5*i + 21*c, -5*i + 4*c - 3990004 = 0. What is i rounded to the nearest 10000?
-800000
Let i = -102.1778 + 103.26. Let o = 0.98 - i. What is o rounded to two decimal places?
-0.1
Let n = -0.056 - -0.0578825. What is n rounded to four dps?
0.0019
Suppose -4*n = -10*n + 135312. Let f = n - 13062. What is f rounded to the nearest 1000?
9000
Let g = 405079.09635 + -405237.1. Let v = g + 158. Round v to three decimal places.
-0.004
Suppose 0 = 41*b + 209639 + 1323966. Let u = b - -65635. What is u rounded to the nearest one thousand?
28000
Let y = 35542.408 - 35419. Let l = y - 123. Round l to one dp.
0.4
Let x = -18205.00092953 - -18205. What is x rounded to five decimal places?
-0.00093
Let t = 33382.24 + -33685. What is t rounded to the nearest integer?
-303
Let y = -37219574 - -25420274. What is y rounded to the nearest one million?
-12000000
Let p = -2590.99999884 - -2591. What is p rounded to seven dps?
0.0000012
Let b = -52 - -52.51. Let o = -32.95 + 32. Let j = o + b. Round j to one decimal place.
-0.4
Let m = -0.028 - -0.1278. Let h = -13.4302 - m. What is h rounded to zero dps?
-14
Let o = -2732 + 2504.1. Let x = -261.19 - o. Let v = 33 + x. What is v rounded to one decimal place?
-0.3
Let a(v) = 1 - 3*v**2 + v**2 - v + v**2 + 0*v. Let z(h) = -4400003*h**2 - 4*h + 3. Let c(p) = -4*a(p) + z(p). Let r be c(-1). Round r to the nearest 1000000.
-4000000
Let c = -2005826.850228 - -2006194.85. Let n = c - 368. Round n to four dps.
-0.0002
Let b = -1374.705339 + 0.295339. Let a = b + 1382. What is a rounded to 1 dp?
7.6
Suppose 0*g + 2*g - 9444212 = 0. Let v = g - 1082106. Round v to the nearest 1000000.
4000000
Let s be (-55 + -2)*(-2)/6. Suppose -1 = -k + 3*o, o - 4 = 2*k - 31. Suppose s*b - k*b = 1980000. What is b rounded to the nearest 100000?
700000
Let u = 2 + -17. Let f = 8.2 + u. Let s = f - -7.78. What is s rounded to one decimal place?
1
Let z = 44879.3 - 48827.79. Let t = 3930 + z. Round t to 0 dps.
-18
Let x = -1.247363 - -1.312. Round x to two dps.
0.06
Let i = 7.11 + -69.91. Let q = -696 - -754.17. Let u = i + q. Round u to 1 dp.
-4.6
Let s = -4978 + 4977.99996556. What is s rounded to six dps?
-0.000034
Let b = -489 - -490. Let f be -1 - 2578/(3 - b). What is f rounded to the nearest 1000?
-1000
Let z = -88672.61 + 89400. What is z rounded to 0 decimal places?
727
Let w = 38187485.6698909 + -38187484. Let n = w - 1.67. What is n rounded to 6 dps?
-0.000109
Let f = -3449 - -3478.67. Let v = f + 4.13. Let d = 34 - v. What is d rounded to | {
"pile_set_name": "DM Mathematics"
} |
121232
Product of 217 and -187.
-40579
-0.11 * 1.6498
-0.181478
11962 times 0.14
1674.68
-455 * -62
28210
Calculate -0.05*-478467.
23923.35
Product of 9 and -71022.
-639198
Multiply -36928 and -0.02.
738.56
2 * 0.66
1.32
Product of -1 and 11788.
-11788
What is the product of -0.66172 and -0.3?
0.198516
Multiply -0.01 and 12827.
-128.27
Product of -1.49 and 15.033.
-22.39917
Product of -413 and 100.
-41300
Calculate -3*-41672.
125016
Calculate -88193*-0.4.
35277.2
Multiply -13541 and -2.
27082
0.013 * -1008
-13.104
-4.4 * 1.277
-5.6188
-0.8 times 9002
-7201.6
Multiply -25.1226 and -0.1.
2.51226
0.05*0.2116
0.01058
14.72 * 0.928
13.66016
Multiply 120 and -14386.
-1726320
-558*-21
11718
560.65*-0.31
-173.8015
41.367*-0.4
-16.5468
-805035*-0.2
161007
Calculate 2.059*-740.
-1523.66
-119 * 54
-6426
What is 0.5 times 10104?
5052
-0.2*-148112
29622.4
-1865904 times 2
-3731808
-1038 * -13
13494
Calculate 3.5*-123.5.
-432.25
Multiply -0.6 and -6155.
3693
What is 0.077 times 0.153?
0.011781
Calculate -0.452*0.232.
-0.104864
-10078*0.25
-2519.5
-3.8 times -0.2533
0.96254
-0.01*0.39257
-0.0039257
What is -2188.61 times 0.5?
-1094.305
Calculate 4*-9019.
-36076
0.4 * -194185
-77674
1.9*8288
15747.2
Calculate -360*-19.
6840
159 * 587
93333
Product of 0.1098 and 2.7.
0.29646
Calculate -7*-0.0911.
0.6377
What is the product of 42 and -0.4645?
-19.509
-9238 times 0.4
-3695.2
What is the product of -0.37 and -20480?
7577.6
Work out -0.0319 * -20.
0.638
Multiply -438.9 and 54.
-23700.6
Calculate -1.79*0.02467.
-0.0441593
-1 times 1.15911
-1.15911
What is 0.4 times 101551?
40620.4
1669 times 6.9
11516.1
2708.6 times -8
-21668.8
What is 332 times 4469?
1483708
-11.16*6
-66.96
What is the product of -184780 and -0.4?
73912
Multiply -11 and -25731.
283041
What is the product of 1 and -1.7677?
-1.7677
What is the product of 206 and -6.636?
-1367.016
Work out 1014.022 * 2.
2028.044
What is the product of 5481 and 224?
1227744
What is -3 times 8006?
-24018
-1014555 times 1
-1014555
0.0428 * -0.004
-0.0001712
-2*-1.1313
2.2626
Multiply -68555 and -3.
205665
What is the product of 2 and 32550?
65100
What is 3 times 14534?
43602
Work out 0.037797 * 0.3.
0.0113391
Work out -17002 * -0.8.
13601.6
What is the product of 733166 and -0.4?
-293266.4
Multiply -0.106 and -9.089.
0.963434
Calculate -107558*1.
-107558
Product of 0.3 and -12891.
-3867.3
Multiply -0.4 and -90.49.
36.196
Calculate 0.1*234.9.
23.49
What is the product of 2 and 327718?
655436
Calculate 30*-2342.
-70260
Product of -6.36 and -6.
38.16
-271*-11.194
3033.574
Multiply -0.41 and 25778.
-10568.98
Calculate 121.05*-4.
-484.2
-13.89 * 142
-1972.38
255964*9
2303676
Work out -2054 * 461.
-946894
-44.88 times -3.4
152.592
Product of -74949 and 0.2.
-14989.8
158962 times -2
-317924
Multiply -25.14 and 23.
-578.22
Work out 161865 * 10.
1618650
Multiply 350238 and 0.1.
35023.8
Multiply -0.0326 and -20.7.
0.67482
What is the product of 2.436 and 0.107?
0.260652
Multiply 1076875 and -3.
-3230625
-7*-0.010363
0.072541
What is 35 times -192.8?
-6748
Work out -412 * -775.2.
319382.4
What is the product of 0.4 and -295505?
-118202
Work out -31.9001 * 0.5.
-15.95005
Calculate -0.104*2876.
-299.104
What is -23913 times 0.3?
-7173.9
Product of -0.4 and -0.782.
0.3128
Multiply 0.1 and -803.
-80.3
Multiply -0.3 and 2210.
-663
Multiply 0.05 and -5.16348.
-0.258174
What is the product of -79 and -211.43?
16702.97
Work out -15.77425 * 0.4.
-6.3097
Multiply -5 and 17782.
-88910
Calculate 2311*-13.
-30043
What is the product of 2 and -15.2815?
-30.563
23 times 0.303
6.969
What is the product of 52809 and -0.3?
-15842.7
-32.58 times -3.1
100.998
453558 times -0.06
-27213.48
0.3*-7725.59
-2317.677
5 times -315202
-1576010
-34.6 times 4257
-147292.2
1869 times 0.158
295.302
Calculate -3*-27124.
81372
-2.3 times 0.2264
-0.52072
Work out 0.26 * -18715.
-4865.9
-0.32268*1.4
-0.451752
-1.1 * 1.3049
-1.43539
0.1*-33834
-3383.4
What is the product of -23 and -9200?
211600
Product of 0.06519 and -0.2.
-0.013038
Multiply 10.74 and 0.13.
1.3962
Calculate 1*17604.
17604
Work out -19 * -0.25095.
4.76805
What is -0.045 times 0.03?
-0.00135
42*1462
61404
Work out -13312 * 0.5.
-6656
Calculate 298*-0.11256.
-33.54288
100200*-39
-3907800
-4*-0.0276761
0.1107044
What is the product of -4 and 3287.33?
-13149.32
Work out -3.87865 * -3.
11.63595
26 times -12562
-326612
Product of 7705 and -6.8.
-52394
-14342 * 0.01
-143.42
0.1997*-0.1502
-0.02999494
Calculate -2.748*-0.002.
0.005496
9 times 13552
121968
-703554*-2
1407108
Calculate -104*-196.
20384
-270.674 * 0
0
Product of -0.0385 and -0.115.
0.0044275
What is the product of 0.41 and -0.0314?
-0.012874
-0.007*2.1708
-0.0151956
Work out -1.2 * -2709.
3250.8
188 times 2643
496884
What is the product of 190 and -8.9?
-1691
What is -0.5 times -192136?
96068
Calculate -618*2.04.
-1260.72
Calculate -0.79*4.19.
-3.3101
6.1*1324
8076.4
-34020 * -0.85
28917
Work out -549 * 66.
-36234
What is -5 times -10.9806?
54.903
Multiply 130 and -129.
-16770
Multiply -6580 and -3.
19740
1929.2 times -5
-9646
Multiply -610.36 and -54.
32959.44
-27038 * -2
54076
What is the product of -4 and -19979?
79916
Product of 0.4 and 1415.695.
566.278
What is 0.436 times 1670?
728.12
10952 times -0.5
-5476
-12*-1.1305
13.566
Multiply 8.613 and 30.
258.39
-0.4 * 1.800686
-0.7202744
0.045912*0.033
0.001515096
-10 * -0.356
3.56
What is the product of 0.8956 and 0.2?
0.17912
Work out -3 * -29.5716.
88.7148
Product of -0.3 and -24512.
7353.6
What is the product of -23.3691 and 4?
-93.4764
Multiply 4 and 6.536.
26.144
Product of -761350 and 0.3.
-228405
Calculate -1463*-0.366.
535.458
-0.1*0.0866
-0.00866
What is the product of -1.8 and 94.81?
-170.658
Calculate -38770*-0.16.
6203.2
Calculate 0.1*16270.
1627
-1.1 times 3.953
-4.3483
-8 * -20.45
163.6
Work out 2126 * -669.
-1422294
Work out 4 * -8455.
-33820
1219.5 * 0.057
69.5115
Product of 99650 and 0.2.
19930
Multiply 0.2 and -1676.
-335.2
Calculate 635536*0.5.
317768
What is -5743 times -7.32?
42038.76
-2.20879 * -0.5
1.104395
Multiply -0.06 and 2073.
-124.38
What is -5.29205 times -0.4?
2.11682
-15.52*-0.64
9.9328
Product of 27 and 30880.
833760
Calculate -2*27489.
-54978
Multiply 0.04 and -1681.8.
-67.272
Product of -2 and -3847.1.
7694.2
Calculate -15*34298.
-514470
Calculate 9*2871.
25839
Multiply -8 and -0.005371.
0.042968
Calculate 21591*17.
367047
Multiply 190.958 and 0.
0
-805682 * 0.1
-80568.2
Work out 0.03 * -82125.
-2463.75
What is 0.1 times -38719?
-3871.9
7.59 * 184
1396.56
What is 102 times -6.08?
-620.16
-1.6*13153
-21044.8
956*8
7648
Product of -1647.3 and 116.
-191086.8
98.1*-0.54
-52.974
What is the product of -820082 and 0?
0
75.4*25
1885
3 times 0.0035527
0.0106581
What is -510 times 2?
-1020
What is the product of -1956.4 and 4.1?
-8021.24
Multiply -0.05 and -6239.
311.95
Calculate -3*20728.
-62184
Product of 15.1 and -664.
-10026.4
Product of -2.5 and -1.5476.
3.869
Work out -9 * -7296.
65664
Multiply 2630 and 37.1.
97573
Calculate 24*4583.
109992
What is the product of -3.5 and 149739?
-524086.5
1479.3*12.2
18047.46
Work out 0.1 * -1.88783.
-0.188783
What is the product of -4222 and -1?
4222
Work out -20011 * 1.85.
-37020.35
Multiply 5 and -0.883.
-4.415
What is the product of 0.03 and 72348?
2170.44
Multiply -4.5779 and 1.
-4.5779
-6 times 82056
-492336
12543*-1
-12543
-65 * -0.0116
0.754
Calculate -0.49*282.
-138.18
-4*0.1372
-0.5488
-0.0492 * -9.18
0.451656
Calculate 0.3982*20.
7.964
0.3*-0.89495
-0.268485
-121.4 times -26
3156.4
What is -4.2 times 0.066743?
-0.2803206
4180 times 0.097
405.46
-27584*3
-82752
Work out -13 * -764.
9932
What is the product of -85222 and 6?
-511332
139.58 * -3
-418.74
Calculate -5*400907.
-2004535
Work out -38 * -583.
22154
Multiply 289 and -37.
-10693
Work out 154 * -181.
-27874
38*1780
67640
121 * -1461
-176781
-3328 times -1.2
3993.6
-92469 * -0.7
64728.3
What is 3489 times -16?
-55824
Work out -2375 * -14.
33250
-91655.8 * 0.3
-27496.74
What is -2.8 times 34.45?
-96.46
-1 times -242.543
242.543
2 * -1176380
-2352760
What is the product of -1223 and -0.35?
428.05
-0.55 * 8971
-4934.05
Product of -2654964 and -0.3.
796489.2
Work out -25 * 2085.
-52125
Multiply -3.5354 and 0.05.
-0.17677
0.5 * -31.5922
-15.7961
Product of -0.6128 | {
"pile_set_name": "DM Mathematics"
} |
39213?
False
Is 136802 a multiple of 5?
False
Is 22 a factor of 29896592?
True
Is 9028458 a multiple of 18?
True
Is 10622364 a multiple of 2082?
True
Is 242 a factor of 125226?
False
Is 32 a factor of 585370?
False
Does 1023 divide 19650807?
True
Is 423968 a multiple of 32?
True
Is 16199280 a multiple of 1510?
True
Does 38 divide 1716364?
False
Does 290 divide 3020753?
False
Is 354386 a multiple of 37?
True
Is 364389 a multiple of 2?
False
Does 3 divide 4568?
False
Is 1192640 a multiple of 320?
True
Is 242 a factor of 2765576?
True
Is 142 a factor of 1787087?
False
Is 39 a factor of 1169457?
False
Is 337516 a multiple of 69?
False
Is 1040820 a multiple of 95?
True
Is 535 a factor of 39055?
True
Is 9 a factor of 58383?
True
Is 3656822 a multiple of 26?
True
Is 692682 a multiple of 3?
True
Does 913 divide 1878590?
False
Is 129 a factor of 85928?
False
Is 3147408 a multiple of 528?
True
Does 13 divide 95263?
False
Is 9 a factor of 386928?
True
Does 230 divide 305545?
False
Does 16 divide 91700?
False
Is 8417 a multiple of 28?
False
Does 62 divide 139373?
False
Does 1715 divide 7882140?
True
Is 39 a factor of 8853?
True
Is 673 a factor of 1658272?
True
Is 69 a factor of 554202?
False
Does 154 divide 4168164?
True
Is 16 a factor of 64652?
False
Is 338472 a multiple of 12?
True
Is 39 a factor of 134518?
False
Is 914 a factor of 822834?
False
Does 178 divide 3487732?
True
Does 141 divide 382591?
False
Is 109 a factor of 45288?
False
Is 23 a factor of 189944?
False
Is 152 a factor of 102904?
True
Is 7 a factor of 1629194?
True
Is 3012933 a multiple of 33?
True
Is 19 a factor of 983945?
False
Is 45 a factor of 33885?
True
Does 15 divide 2406705?
True
Does 8 divide 556358?
False
Does 111 divide 65255?
False
Is 71760 a multiple of 230?
True
Is 5593508 a multiple of 51?
False
Does 13 divide 29250?
True
Is 162 a factor of 255176?
False
Does 1085 divide 8172220?
True
Is 81 a factor of 3696597?
True
Is 15784 a multiple of 20?
False
Does 55 divide 312215?
False
Is 33567 a multiple of 351?
False
Is 25 a factor of 176867?
False
Does 17 divide 1789790?
False
Is 52 a factor of 691184?
True
Is 74871 a multiple of 300?
False
Does 14 divide 170492?
True
Is 38 a factor of 506996?
True
Is 20 a factor of 122783?
False
Does 244 divide 281401?
False
Is 13311 a multiple of 17?
True
Is 706734 a multiple of 39?
False
Does 160 divide 137973?
False
Does 45 divide 283980?
False
Does 652 divide 8967113?
False
Is 7 a factor of 1366743?
True
Is 19 a factor of 78166?
True
Does 17 divide 188292?
True
Does 20 divide 104280?
True
Is 50 a factor of 428250?
True
Is 475956 a multiple of 156?
True
Is 1594005 a multiple of 595?
True
Is 381 a factor of 21045268?
False
Is 826147 a multiple of 1103?
True
Is 418 a factor of 2738243?
False
Is 153331 a multiple of 16?
False
Does 40 divide 208560?
True
Does 15 divide 475440?
True
Does 83 divide 6474?
True
Is 4 a factor of 4310?
False
Does 17 divide 2001871?
False
Is 1836 a factor of 8651663?
False
Is 38 a factor of 1748853?
False
Is 391893 a multiple of 455?
False
Is 11520 a multiple of 36?
True
Is 143472 a multiple of 21?
True
Does 46 divide 2469510?
True
Is 251291 a multiple of 5?
False
Is 187365 a multiple of 2?
False
Does 871 divide 19850090?
True
Does 8 divide 599048?
True
Is 4 a factor of 962149?
False
Does 350 divide 1996881?
False
Is 355610 a multiple of 62?
False
Is 1996615 a multiple of 2?
False
Is 9 a factor of 113735?
False
Is 26 a factor of 813353?
False
Is 30 a factor of 713610?
True
Is 611488 a multiple of 8?
True
Is 654977 a multiple of 33?
False
Is 5712234 a multiple of 1166?
True
Is 10924256 a multiple of 32?
True
Does 19 divide 1005157?
True
Does 47 divide 4263041?
True
Is 107 a factor of 135609?
False
Is 382 a factor of 202297?
False
Does 44 divide 361464?
False
Does 599 divide 722993?
True
Does 64 divide 66993?
False
Does 15 divide 1341241?
False
Is 3 a factor of 20373?
True
Is 23 a factor of 573706?
False
Is 1631205 a multiple of 27?
True
Does 71 divide 791443?
False
Is 30798 a multiple of 2?
True
Is 6 a factor of 1970242?
False
Is 1252 a factor of 931488?
True
Is 1908848 a multiple of 149?
False
Is 242 a factor of 395670?
True
Is 160 a factor of 515040?
True
Does 22 divide 9477586?
False
Is 597 a factor of 491815?
False
Is 57385 a multiple of 176?
False
Does 2 divide 12639?
False
Is 2780821 a multiple of 19?
True
Is 88819 a multiple of 210?
False
Is 249250 a multiple of 1994?
True
Does 86 divide 37960?
False
Is 172790 a multiple of 18?
False
Is 7953 even?
False
Does 18 divide 724594?
False
Does 70 divide 112185?
False
Is 241 a factor of 1199457?
True
Is 149047 a multiple of 132?
False
Is 197 a factor of 22458?
True
Is 255 a factor of 3688439?
False
Does 76 divide 521411?
False
Does 53 divide 681783?
False
Is 4275162 a multiple of 53?
False
Does 180 divide 108180?
True
Is 12 a factor of 221429?
False
Does 11 divide 254276?
True
Is 550914 a multiple of 162?
False
Is 9 a factor of 94456?
False
Is 14 a factor of 1237502?
True
Is 1975899 a multiple of 91?
False
Is 4270954 a multiple of 11?
False
Is 365421 a multiple of 8?
False
Does 194 divide 155306?
False
Does 4 divide 509568?
True
Does 1098 divide 557784?
True
Does 9 divide 100629?
True
Does 59 divide 51591?
False
Is 246561 a multiple of 21?
True
Is 1069446 a multiple of 14?
True
Does 38 divide 8866616?
True
Does 19 divide 970026?
True
Does 306 divide 132162?
False
Does 12 divide 3017388?
True
Is 3137039 a multiple of 4?
False
Is 4044096 a multiple of 714?
True
Is 170 a factor of 7987248?
False
Does 148 divide 1043079?
False
Does 259 divide 319282?
False
Is 35 a factor of 935935?
True
Is 199507 a multiple of 96?
False
Is 524460 a multiple of 15?
True
Does 71 divide 141148?
True
Is 1325 a multiple of 2?
False
Does 37 divide 2006660?
False
Is 105679 a multiple of 9?
False
Is 88107 a multiple of 24?
False
Is 741299 a multiple of 13?
True
Does 12 divide 86360?
False
Does 31 divide 1563068?
False
Is 44071 a multiple of 3?
False
Does 251 divide 1496298?
False
Does 71 divide 636930?
False
Does 68 divide 352929?
False
Is 168 a factor of 2510199?
False
Does 1304 divide 3472389?
False
Is 9 a factor of 60226?
False
Is 61 a factor of 534030?
False
Does 88 divide 932272?
True
Is 116656 a multiple of 317?
True
Is 13127101 a multiple of 1651?
True
Does 10 divide 48290?
True
Is 537 a factor of 580497?
True
Is 416 a factor of 4560811?
False
Is 780864 a multiple of 52?
False
Is 1157 a factor of 2625977?
False
Does 31 divide 402411?
True
Is 108394 a multiple of 379?
True
Is 117 a factor of 506935?
False
Does 216 divide 5281?
False
Is 4914 a multiple of 172?
False
Does 168 divide 3842496?
True
Is 1576 a factor of 19302848?
True
Is 825536 a multiple of 13?
False
Does 708 divide 28320?
True
Does 10 divide 250990?
True
Is 11443436 a multiple of 31?
False
Is 92 a factor of 60913?
False
Is 13 a factor of 202769?
False
Is 40 a factor of 85160?
True
Does 21 divide 37323821?
False
Does 226 divide 249005?
False
Is 127 a factor of 10909850?
False
Is 257427 a multiple of 61?
False
Does 11 divide 770693?
True
Is 169 a factor of 687591?
False
Does 18 divide 791118?
True
Does 37 divide 348518?
False
Is 47796 a multiple of 28?
True
Is 2150385 a multiple of 44?
False
Does 386 divide 399804?
False
Does 58 divide 316075?
False
Is 3320384 a multiple of 58?
True
Does 145 divide 164140?
True
Is 341 a factor of 2437752?
False
Is 144714 a multiple of 534?
True
Does 9 divide 375545?
False
Is 7 a factor of 81256?
True
Does 57 divide 1718493?
True
Is 90 a factor of 180089?
False
Is 1068921 a multiple of 7?
True
Is 16245 a multiple of 5?
True
Is 243 a factor of 2297322?
True
Does 5 divide 69910?
True
Is 21 a factor of 2181970?
False
Is 451 a factor of 4447505?
False
Is 816 a multiple of 24?
True
Is 7848 a multiple of 18?
True
Is 34136 a multiple of 34?
True
Is 4768308 a multiple of 54?
True
Is 26034 a multiple of 3?
True
Is 23421 a multiple of 25?
False
Does 19 divide 57817?
True
Is 2 a factor of 269590?
True
Is 153987 a multiple of 18?
False
Is 34 a factor of 807024?
True
Does 30 divide 3425940?
True
Is 1633699 a multiple of 43?
True
Is 17 a factor of 30498?
True
Does 25 divide 131175?
True
Is 96579 a multiple of 27?
True
Does 27 divide 9460395?
True
Is 3209412 a multiple of 6?
True
Does 5 divide 5233100?
True
Does | {
"pile_set_name": "DM Mathematics"
} |
sequence ccxx.
1/21
Two letters picked without replacement from psqq. Give prob of sequence ps.
1/12
What is prob of sequence rrt when three letters picked without replacement from krtkrtkt?
1/56
What is prob of sequence pbx when three letters picked without replacement from pthbhttbpxpttptbt?
1/340
What is prob of sequence vu when two letters picked without replacement from vum?
1/6
What is prob of sequence bjy when three letters picked without replacement from {y: 2, b: 1, a: 1, k: 5, j: 1}?
1/360
Four letters picked without replacement from eneeeeesjujnjsjes. Give prob of sequence nens.
1/1360
What is prob of sequence gss when three letters picked without replacement from jggsssbgssbgs?
10/143
Three letters picked without replacement from bbbeebbttt. What is prob of sequence eet?
1/120
Calculate prob of sequence vlv when three letters picked without replacement from vsxvxxvxsxlxlsvyvyvl.
1/76
Calculate prob of sequence kqkk when four letters picked without replacement from kmsqlkklgqqmm.
3/2860
What is prob of sequence epee when four letters picked without replacement from eessespeeepsepeeeep?
55/1292
What is prob of sequence tw when two letters picked without replacement from wwwttww?
5/21
What is prob of sequence zz when two letters picked without replacement from {x: 3, q: 7, g: 5, z: 2}?
1/136
Calculate prob of sequence xbv when three letters picked without replacement from {x: 8, m: 1, q: 2, v: 1, b: 1, c: 1}.
1/273
Calculate prob of sequence dyyy when four letters picked without replacement from {d: 1, y: 3}.
1/4
What is prob of sequence cxc when three letters picked without replacement from cycyccyccyyxyyyccxy?
56/2907
What is prob of sequence iwwv when four letters picked without replacement from {i: 3, m: 3, v: 2, u: 3, z: 1, w: 2}?
1/2002
Calculate prob of sequence uzh when three letters picked without replacement from ushueshsudssuzs.
4/1365
What is prob of sequence xxkk when four letters picked without replacement from cxxcckkk?
1/140
Three letters picked without replacement from tttottto. What is prob of sequence too?
1/28
Calculate prob of sequence sves when four letters picked without replacement from {v: 1, w: 3, e: 1, i: 3, s: 2}.
1/2520
Calculate prob of sequence ra when two letters picked without replacement from {r: 1, q: 1, a: 3, v: 6, u: 6}.
3/272
What is prob of sequence zqm when three letters picked without replacement from qzqqqdjqzmzdq?
3/286
Three letters picked without replacement from {p: 3, o: 4}. Give prob of sequence opp.
4/35
Three letters picked without replacement from {e: 2, s: 1}. Give prob of sequence eee.
0
Four letters picked without replacement from {h: 3, j: 1, n: 3, y: 2, q: 1, z: 3}. Give prob of sequence hnyq.
3/2860
What is prob of sequence lb when two letters picked without replacement from elbblbeeeebee?
2/39
Four letters picked without replacement from zoszosfsoo. Give prob of sequence zsfo.
1/210
Four letters picked without replacement from lmlwwwqmwq. Give prob of sequence wwwq.
1/105
What is prob of sequence tq when two letters picked without replacement from ttgttttgtgtgtttttgqt?
7/190
Four letters picked without replacement from yvvbvbbvvnyyvybb. Give prob of sequence byvb.
1/91
Calculate prob of sequence fdd when three letters picked without replacement from {f: 3, c: 4, d: 6}.
15/286
Four letters picked without replacement from yyyygyhhh. What is prob of sequence hhyy?
5/126
Calculate prob of sequence eu when two letters picked without replacement from {u: 9, e: 7}.
21/80
Calculate prob of sequence pll when three letters picked without replacement from {p: 2, y: 1, l: 2}.
1/15
Four letters picked without replacement from xxcmmc. What is prob of sequence cmcm?
1/90
Calculate prob of sequence vvvv when four letters picked without replacement from {v: 7}.
1
Two letters picked without replacement from xgwgixwwwiww. What is prob of sequence gx?
1/33
Two letters picked without replacement from {k: 1, e: 3, f: 4, t: 3}. Give prob of sequence fe.
6/55
Four letters picked without replacement from {a: 4, o: 7, f: 1, b: 2}. What is prob of sequence oaoo?
5/143
What is prob of sequence dg when two letters picked without replacement from {a: 2, b: 1, d: 1, h: 1, g: 2, r: 1}?
1/28
What is prob of sequence tt when two letters picked without replacement from {p: 15, t: 3}?
1/51
What is prob of sequence gz when two letters picked without replacement from zznggngnzzz?
3/22
What is prob of sequence rbrb when four letters picked without replacement from {n: 1, r: 2, q: 2, t: 10, z: 2, b: 1}?
0
Four letters picked without replacement from {e: 1, i: 4, a: 6}. What is prob of sequence iiee?
0
Calculate prob of sequence ywz when three letters picked without replacement from wyrozrwww.
1/126
What is prob of sequence kkw when three letters picked without replacement from kkwkpwpkkkwkwkpk?
3/35
Calculate prob of sequence tka when three letters picked without replacement from kkktkgakkgggggk.
1/390
Calculate prob of sequence mm when two letters picked without replacement from mgggmggmggmggg.
6/91
Four letters picked without replacement from {o: 5, g: 3, b: 8, q: 1, y: 3}. What is prob of sequence gboo?
4/969
What is prob of sequence rs when two letters picked without replacement from {s: 1, r: 19}?
1/20
Three letters picked without replacement from ygngggnofgnx. What is prob of sequence goy?
1/264
Calculate prob of sequence qyyi when four letters picked without replacement from iqyddyaydi.
1/420
Two letters picked without replacement from jyyjyjnyy. Give prob of sequence yy.
5/18
Four letters picked without replacement from ddddhdddyzyz. Give prob of sequence ddzh.
7/990
Two letters picked without replacement from {s: 8, f: 9, d: 1, r: 1}. What is prob of sequence ds?
4/171
Calculate prob of sequence qm when two letters picked without replacement from jqxmquqqqqqqxxxutuju.
2/95
What is prob of sequence lf when two letters picked without replacement from {l: 4, u: 4, n: 1, f: 6, w: 2, v: 1}?
4/51
Calculate prob of sequence jjxl when four letters picked without replacement from xjlxjlxll.
1/126
What is prob of sequence qb when two letters picked without replacement from {b: 1, q: 1, x: 2}?
1/12
Four letters picked without replacement from {o: 3, j: 3, q: 1, f: 2, n: 2, h: 1}. What is prob of sequence hfoo?
1/990
Calculate prob of sequence lxx when three letters picked without replacement from aaalllxnax.
1/120
What is prob of sequence zpbn when four letters picked without replacement from pibnnnppppnbpbzppzb?
8/2907
What is prob of sequence ju when two letters picked without replacement from {q: 2, u: 2, a: 1, h: 1, j: 8, i: 1}?
8/105
What is prob of sequence jc when two letters picked without replacement from jjjjjjjcjjjjjjjjjcjj?
9/95
Calculate prob of sequence qq when two letters picked without replacement from qdtlttttttqqdztlt.
3/136
Four letters picked without replacement from vyyvvyyyyvy. Give prob of sequence yvyy.
7/66
Two letters picked without replacement from dsspdjdsdpdpsdudsudx. Give prob of sequence sp.
3/76
What is prob of sequence vqq when three letters picked without replacement from {q: 4, v: 2}?
1/5
Calculate prob of sequence yt when two letters picked without replacement from {o: 6, d: 1, l: 1, y: 3, t: 1, i: 4}.
1/80
Two letters picked without replacement from {s: 1, u: 1, b: 1, c: 1, h: 2, e: 1}. What is prob of sequence cu?
1/42
Three letters picked without replacement from bpbphhqqbqqhqmhqqm. What is prob of sequence hph?
1/204
What is prob of sequence tt when two letters picked without replacement from nqqtnnqqntnnnqnqnq?
1/153
What is prob of sequence ub when two letters picked without replacement from {b: 2, a: 1, g: 1, p: 2, u: 1}?
1/21
Calculate prob of sequence uuuu when four letters picked without replacement from {u: 6}.
1
Two letters picked without replacement from {j: 2, l: 1, f: 2, x: 1, q: 1}. What is prob of sequence fl?
1/21
Three letters picked without replacement from {q: 7, t: 6, j: 1}. What is prob of sequence qjq?
1/52
What is prob of sequence wq when two letters picked without replacement from {q: 2, y: 1, w: 4}?
4/21
Two letters picked without replacement from ftftfffutfftt. What is prob of sequence ft?
35/156
Calculate prob of sequence ra when two letters picked | {
"pile_set_name": "DM Mathematics"
} |
8*i - 2. Let y(b) = -j(b) - 6*k(b). Let d(u) = -4*u**2 + 9 - 4 - 4*u**2 - 5*u + u**2. What is 6*d(t) - 15*y(t)?
3*t**2
Let p(m) = -m**2 - 4*m + 5. Let b(d) = -3*d**2 - 9*d + 10. Give -3*b(x) + 7*p(x).
2*x**2 - x + 5
Let v(p) = -p**2 + p + 1. Let c(k) = k**2 + 2*k - 7. Give -c(h) + 2*v(h).
-3*h**2 + 9
Let c(f) = -7*f**3 + 5*f**2 + 6*f - 7. Let t(x) = -20*x**3 + 16*x**2 + 17*x - 20. Give 17*c(b) - 6*t(b).
b**3 - 11*b**2 + 1
Suppose 8*q = 4*q. Let d(t) = -t + 0*t + q*t + 4 + 1. Let w(j) = 1. Determine -d(h) + 5*w(h).
h
Let i(s) = -7*s + 1. Let m(g) = -13*g + 1. Calculate 11*i(r) - 6*m(r).
r + 5
Let d(k) = -8*k**3 + k - 3. Let l(i) = 9*i**3 - i + 4. What is 4*d(x) + 3*l(x)?
-5*x**3 + x
Let d(l) = -10*l**2 + 6*l - 11. Let x(g) = -2*g**2 + g - 2. Let b = 21 - 19. What is b*d(n) - 11*x(n)?
2*n**2 + n
Let s(c) = 19*c**2 + 3*c. Let d(o) = o**2 + o. Calculate 4*d(m) - s(m).
-15*m**2 + m
Let b(p) = 4*p**2 + 9. Let v(u) = -2*u**2 + u**2 - 4 - u**2 + 0*u**2. What is 4*b(x) + 9*v(x)?
-2*x**2
Let b(o) = 2*o**2 + 5*o + 2. Let f(h) = -9*h**2 - 25*h - 11. Give -11*b(r) - 2*f(r).
-4*r**2 - 5*r
Let j(n) = 7*n**3 - 4*n**2 + 10*n. Let m(g) = -6*g**3 + 3*g**2 - 9*g. Determine 5*j(f) + 6*m(f).
-f**3 - 2*f**2 - 4*f
Let x(l) = 34*l**2 - 16*l + 16. Let i(g) = -23*g**2 + 11*g - 11. Let q(b) = 8*i(b) + 5*x(b). Let y(j) = -9*j**2 + 5*j - 5. What is 5*q(o) - 8*y(o)?
2*o**2
Let u be 4*(2/(-1) + 0). Let p = u + 4. Let m(f) = -5*f + 6. Let i(b) = 20*b - 15. Let h(o) = -7*o + 5. Let g(s) = 8*h(s) + 3*i(s). What is p*g(z) - 3*m(z)?
-z + 2
Let a(m) = m. Let k(x) = 4*x + 2. Let b(u) = -1 - 3*u - 1 - 6*u. Let h be b(-3). Suppose -3*c + 3*y - 7 = -h, 0 = 5*c + 4*y - 3. Calculate c*a(p) - k(p).
-p - 2
Let a(c) = -15*c**2 + 9*c. Let r(y) = -11*y**2 + 15*y**2 + 4*y - 11*y**2. Give 4*a(k) - 9*r(k).
3*k**2
Let i(p) be the second derivative of p**4/12 + p**3/6 + 2*p. Let m(f) = 6*f**2 + 4*f + 1. Give 5*i(x) - m(x).
-x**2 + x - 1
Let s(f) = -3*f**3 + 4*f**2 - 5*f + 2. Let i(l) be the first derivative of -5*l**4/4 + 2*l**3 - 4*l**2 + 3*l + 3. Calculate -5*i(h) + 8*s(h).
h**3 + 2*h**2 + 1
Let v(m) = -3*m**2 - 5*m + 3. Let d(y) = -6*y**2 - 11*y + 6. What is -3*d(w) + 7*v(w)?
-3*w**2 - 2*w + 3
Let d(o) = -o + 9. Let j(l) = 2*l - 26. Calculate 17*d(f) + 6*j(f).
-5*f - 3
Suppose 8 = -4*l + 5*l - 2*w, 4*l - 2*w = 26. Suppose 1 = -3*d + 2*d. Let z(a) = 4*a**2 - 6*a. Let g(q) = q**2 - q. Calculate d*z(u) + l*g(u).
2*u**2
Suppose 2*j = -5*m + 59, -2*j + 14 = -3*m - 5. Suppose 16 = -3*p - j. Let t(d) = 7*d + 8. Let k(v) = 1 - 2 - 7 - 13*v - 7. Give p*t(f) - 6*k(f).
f + 2
Let c(a) = -a - 1. Let d(h) = h + 8. Let f(x) = 2*c(x) + d(x). Let s(j) = j - 5. Give -2*f(o) - 3*s(o).
-o + 3
Let b(d) = d**2 - 1. Let t = 7 - 15. Let u(f) = 10*f**2 + 2*f - 8. Calculate t*b(z) + u(z).
2*z**2 + 2*z
Let l(p) = 15*p**2. Let m = -174 - -179. Let c(u) = -u**3 + 8*u**2 - 10*u + 9. Let v be c(7). Let t(g) = 6*g**2. What is m*l(f) + v*t(f)?
3*f**2
Suppose -5*b - 35 = 5. Let a be 19/(-4) + 2/b. Let n(g) = -6*g. Let d(v) = -3*v. Calculate a*n(z) + 9*d(z).
3*z
Let s(l) be the second derivative of l**6/30 + l**2/2 - 2*l. Let k(n) be the first derivative of s(n). Let w = -7 + 4. Let g(x) = -x**3. Give w*g(f) - k(f).
-f**3
Let m(w) = -5*w**3 + 2*w**2 + 19*w - 4. Let i(j) = -11*j**3 + 4*j**2 + 37*j - 9. Give -4*i(q) + 9*m(q).
-q**3 + 2*q**2 + 23*q
Let y(g) = -11*g + 8. Suppose -i + 5 = 3*j, i - 6 - 7 = 5*j. Let a(f) be the second derivative of -7*f**3/6 + 5*f**2/2 - 2*f. Give i*a(o) - 5*y(o).
-o
Let j(s) = -16*s + 2. Let l(p) = 49*p - 6. What is -17*j(a) - 6*l(a)?
-22*a + 2
Let k(p) = p. Let s(c) = c + 2. Let t(f) = f**2 + 2*f - 4. Let n be t(-3). Let q(u) = n*s(u) - 4*k(u). Let i(v) = 3*v + 1. Give 11*i(h) + 6*q(h).
3*h - 1
Let p(t) = -16*t + 3. Let l(d) = 47*d - 9. Determine 6*l(b) + 17*p(b).
10*b - 3
Let h(q) = q**2 - q - 3. Let r(b) = -b**2 + 4. Calculate -6*h(j) - 5*r(j).
-j**2 + 6*j - 2
Let d(w) = w**3 + w**2. Let y(p) = -6*p**3 + 20*p**2 + 1. Calculate 5*d(c) + y(c).
-c**3 + 25*c**2 + 1
Let h(q) = 33*q. Let k(r) = r. What is h(t) - 12*k(t)?
21*t
Let i(p) = p. Let o(n) be the third derivative of 7*n**4/24 + n**3/2 - 8*n**2. Suppose 8 = m + 3*a, -2*m - m + 4*a - 15 = 0. What is m*o(f) + 5*i(f)?
-2*f - 3
Let v(p) = 2*p**2 + 3*p + 3. Let u = -6 - -9. Let h(w) = -2*w**2 + w**2 - 2*w**2 - 4 - 4*w. Determine u*h(s) + 4*v(s).
-s**2
Suppose -20 = -5*p + 2*a, -3*a = 2*p - 5*a - 14. Let r(o) = 2*o + 3*o**2 - 4*o - 5*o**p + 6*o**2. Let h(u) = -2*u**2 + u. Calculate -5*h(v) - 2*r(v).
2*v**2 - v
Let f(l) = -l. Let u(c) = 6*c - 1. Suppose -25 = -5*m - 0*m. Calculate m*f(r) + u(r).
r - 1
Let i be (-11)/(-2) - 3/(-2). Let f(g) = -6*g + g - i - g. Let c(x) = -7*x - 8. Give 5*c(l) - 6*f(l).
l + 2
Let k(h) = -66*h**3 + 8*h**2 - 6*h. Let a(c) = 44*c**3 - 5*c**2 + 4*c. Calculate 8*a(x) + 5*k(x).
22*x**3 + 2*x
Let h(b) = -3*b**2 + 91*b. Let n(x) = x**2 - 30*x. Give -4*h(f) - 11*n(f).
f**2 - 34*f
Let y(j) = -4*j + 3. Let b(a) = 3*a - 2. Give 6*b(i) + 4*y(i).
2*i
Let j(o) = -6*o**3 + 4*o**2 - 4*o - 6. Let i(u) = 3*u**2 - 7*u - 2 - 3 + 9*u - 5*u - 5*u**3. Calculate -4*i(f) + 3*j(f).
2*f**3 + 2
Let h(y) = 7*y - 9. Let f(q) = 10*q - 13. Suppose 0 = 6*o - 5 + 113. Let m = o + 11. Determine m*h(i) + 5*f(i).
i - 2
Let n(v) = -2*v**3 + 6*v**2 - 4*v - 8. Suppose 2*d - 12 = -d. Let r(a) = -4*a + a**2 + 0 + d*a - a - 1. Let k = -12 + 6. Give k*r(x) + n(x).
-2*x**3 + 2*x - 2
Let x(b) = -6*b**2 - 2*b + 4. Let c(n) = 6*n**2 + 3*n - 5. Give -4*c(j) - 5*x(j).
6*j**2 - 2*j
Let q(p) = 3*p**2 - 3. Let t(u) = u**2 - 2. Give -3*q(h) + 5*t(h).
-4*h**2 - 1
Let n(z) = 15*z + 1. Let o(k) = 7*k. What is 6*n(x) - 13*o(x)?
-x + 6
Suppose j - 1 = 5. Suppose -2*o + 52 = -j*o. Let w(n) = -15*n**3 - 2*n**2 + 13*n + 4. Let b(c) = -7*c**3 - c**2 + 6*c + 2. Give o*b(r) + 6*w(r).
r**3 + r**2 - 2
Let q(h) = -6*h**2 - 5*h - 1. Let x(m) = -3*m**2 - 3*m - 1. Suppose -5*r = -3*t + 40, 5*t - r = 4*t + 10. What is t*x(c) - 3*q(c)?
3*c**2 - 2
Let x(t) = -t - 1. Let g = -30 - -29. Let a(y) = -2*y - 6. Give g*a(k) + 5*x(k).
-3*k + 1
Let d(m) = -m**2 - 9*m - 15. Let k be d(-5). Let t(u) = u**2 - 2*u + 2. Let y(p) = 3*p**2 - 5*p + 5. What is k*t(b) - 2*y(b)?
-b**2
Let q(s) be the third derivative of -s**5/30 + s**4/6 + 2*s**3/3 + 8*s**2. Let z(k) = -4 - 11*k - 7 + 3 - 3 + 5*k**2. Calculate 11*q(m) + 4*z(m).
-2*m**2
Let w(g) be the third derivative of -g**5/20 + g**4/12 - g**3/2 + 5*g**2. Let z(v) = -13*v**2 + 9*v - 12. What is 9*w(s) - 2*z(s)?
-s**2 - 3
Let i(p) = -4*p + 5 - 3 - 7*p. Let r = 1 + 8. Let y(v) = -5*v + 1. What is r*y(b) - 4*i(b)?
-b + 1
Let m(t) = -t + 3. Let r(p) = -p - 1. Let f(w) = -w - 1. Let a(j) = -f(j) + 2*r(j). What is a(b) + m(b)?
-2*b + 2
Let b = -5 + 2. Let v(i) = -i**3 + 2. Let x(j) = j**3 - j**2 - j + 2*j + 0 - 4 + 1. What is b*v(o) - 2*x(o)?
o**3 + 2*o**2 - 2*o
Let a(x) = 8*x**3 - 6*x**2 + 8*x - 6. Let i(q) = 17*q**3 - 11*q**2 + 15*q - 11. Determine 11*a(n) - 6*i(n).
-14*n**3 - 2*n
Let s(z) = -z**2 + 9*z - 1. Let g(m) = -m**2 + 13*m - 1. Suppose -5 + 3 = 2*d. Let j = d - -8. What is j*s(f) - 5*g(f)?
-2*f**2 - 2*f - 2
Let p(n) = 33 - 4*n**3 - 7*n**3 - 33*n**2 - 2*n**3 - 11*n**3. Suppose 56 = 3*a - 43. Let z(w) = -3*w**3 - 4*w**2 + 4. Determine a*z(h) - 4*p(h).
-3*h**3
Let v(a) be the second derivative of 0 + 1/6*a**4 - 1/20*a**5 + 2*a**2 - 2*a + 0*a**3. Let l(g) = 2*g**3 + g**3 - g**3 - 5 - 2*g**2. Give -3*l(y) - 4*v(y).
-2*y**3 - 2*y**2 - 1
Let p(f) = -3*f - 2. Let x(o) = -10*o - 7. Suppose 0 = -2*n + 4*n. Suppose y - 6*y + 70 = n. Suppose 0 = -5*a + 2 - 22. What is a*x(w) + y*p(w)?
-2*w
Let z(a) = a**3 + 3*a**2 - a. Let m(l) = l**2 - l + 1. Let t(c) = c**3 + 3*c**2 - 2*c + 9. Let s be t(-4). What is s*m(i) - z(i)?
-i**3 - 2*i**2 + 1
Let l(b) = 2*b**3 - 3*b**2 + 3*b. Let w(i) = -i**2 + i. Let j be 6/(-3) + (-1 - -4). Determine j*l(m) - 2*w(m).
2*m**3 - m**2 + m
Let u(i) = -2*i**2 - 12*i. Let v(x) = -11*x**2 - 71*x. Determine 34*u(g) - 6*v(g).
-2*g**2 + 18*g
Let h be 1 + -2 + 0 + 0/2. Let j(t) = -t**2 - 2*t - 3. Let s(k) = -k**3 - k - 1. Calculate h*j(m) + 3*s(m).
-3*m**3 + m**2 - m
Let w(u) = 7*u + 4. Let h(l) = -7*l - 3. Give -4*h(z) - 3*w(z).
7*z
Let j(g) = g - 1. Let a(q) = -3*q + 4. Determine -5*a(k) - 20*j(k).
-5*k
Let k(f) = f**3 + f**2 + 1. Let l(j) = 3 | {
"pile_set_name": "DM Mathematics"
} |
*s)/s)/s**(1/5)*s*(s*s**(-1))/s*s/(s/(s/(s*s*s**9))) assuming s is positive.
s**(-76/5)
Simplify (g/(g/g**0*g))**(-31)/(g**0)**35 assuming g is positive.
g**31
Simplify w*(w/(w/(w/w**(1/5)*w)))/w*w/(w/(w/(w/((w**(13/4)*w)/w))*w))*(w**(1/4))**(1/7) assuming w is positive.
w**(213/35)
Simplify (((p*p**(2/9)*p)/p)/((p**(-8)*p)/p))/(p/(p/(p**(9/7)/p*p)))**(3/8) assuming p is positive.
p**(4405/504)
Simplify (((x/(x**(-1/2)/x))/x)/x*(x/x**(-7))/x*x*x)/(x**(-2/23)/(x**(-3/8)/x*x)) assuming x is positive.
x**(1695/184)
Simplify (x*x/(x/x**(-2)))/(x/(x**(-3/4)/x))*(x**(-2/15))**(-4/5) assuming x is positive.
x**(-1093/300)
Simplify ((i/((i*(i/(i**(-4/3)*i))/i)/i)*i)/(i*i**(-6)))/(i**(5/2)*i)**(-2) assuming i is positive.
i**(41/3)
Simplify ((c*c**(-2)*c)/c*c*c**(-2)*(c*c*c**(-7)*c*c)/(c/c**(-13)))**(-24) assuming c is positive.
c**456
Simplify (t**(-2/11))**(-28)*(t**(1/25)/t)**(-8) assuming t is positive.
t**(3512/275)
Simplify ((y**(4/7)/(y**(-7)/y))**(-2/83))**(-28) assuming y is positive.
y**(480/83)
Simplify (d**10/(d/d**(3/11)))/(d**(-2)*d**4) assuming d is positive.
d**(80/11)
Simplify (f*f*f/(f*f**(-24)/f)*f**(4/9))**(18/7) assuming f is positive.
f**(494/7)
Simplify (r**(5/7)*r/(r/r**(-1/3)*r*r)*r)/(r**(-2/55)*r*r*r**(-19)) assuming r is positive.
r**(18962/1155)
Simplify (z**(1/10)/z)**(15/7)*(z*(z/((z**2*z)/z))/z)**24 assuming z is positive.
z**(-363/14)
Simplify ((q*q**30)**(-39))**(1/15) assuming q is positive.
q**(-403/5)
Simplify (i/(i/(i*(i**5/i*i)/i))*i/(i**(-1/3)*i)*(i**(-1/3)*i*i)**(-6/13))**(2/37) assuming i is positive.
i**(356/1443)
Simplify (d**(-3/5)/d)**(-24)/((d/((d**22*d)/d))/d**(1/6)) assuming d is positive.
d**(1787/30)
Simplify (l*l**(-19))/((l**(-2/3)*l)/l)*l**(-3/14)*l*l*(l**(-2/17)/l*l)/l*l assuming l is positive.
l**(-11185/714)
Simplify (((m*m/(m*m**(-4/5)*m*m))/(m/(m*m**1*m)))/(m**(-2/5)/m**(-6)))**(10/11) assuming m is positive.
m**(-38/11)
Simplify (g**3*g)/(g/(g/g**(3/14)))*(g**(-2/9))**27 assuming g is positive.
g**(-31/14)
Simplify ((g**(-3)/(g/g**0))/((g**(1/2)/g)/g**6))**(-30) assuming g is positive.
g**(-75)
Simplify (j*j*j/j**7*j*j**(-4))/(j*(j*j/j**(3/5))/j*j*j**(7/5)) assuming j is positive.
j**(-54/5)
Simplify (l**(-15)/l*l*l**(3/2))/(l**(-14)/(l*l**(3/4))) assuming l is positive.
l**(9/4)
Simplify (s/s**(4/9)*s**(6/11))/(s**(3/2)/s**(-2/11)) assuming s is positive.
s**(-115/198)
Simplify (w/(w*w/w**(-8)))**(-1/30)*(w/w**(-1/2))/w**(2/41) assuming w is positive.
w**(359/205)
Simplify (h*h*h**(3/8)*h*h)/(h/((h*(h/(h**(-23)*h*h))/h*h)/h))*(h/((h/(h/(h*h**8)*h))/h))**(2/29) assuming h is positive.
h**(5791/232)
Simplify (d**(-3)*d*d**(1/45))**9 assuming d is positive.
d**(-89/5)
Simplify ((d**0/(d**(-3)*d))**36)**(-35/2) assuming d is positive.
d**(-1260)
Simplify ((b/(b*b**(-1/5)))**(-8/7)/(b*b**10*b/(b**(-1/8)*b*b)*b))**(12/5) assuming b is positive.
b**(-9537/350)
Simplify ((n**(-1/2)/n**(-3/2))/((n**6/n)/n**(3/5)))**(13/7) assuming n is positive.
n**(-221/35)
Simplify (n/n**(-11)*n*n)**(-38)/(n**(-2/41))**(-7/2) assuming n is positive.
n**(-21819/41)
Simplify (w**(-16)*w**(2/7)*w)**10 assuming w is positive.
w**(-1030/7)
Simplify (c**(-25)/c**(-1/38))**(-6/11) assuming c is positive.
c**(2847/209)
Simplify (o**(-1/11))**(-27)/(((o*o**(1/11)*o)/o)/(o**(1/13)/o)) assuming o is positive.
o**(63/143)
Simplify ((y**(-1/2))**23*y*y/y**(-1/3)*y*y*y**(-5/2))**(3/32) assuming y is positive.
y**(-29/32)
Simplify (z**(-2/15))**(-16)*((z/z**(-2))/z*z)**(-42) assuming z is positive.
z**(-1858/15)
Simplify (d**17/((d*d**(-3/10)/d)/d*d))/(d/d**(-2/5))**(-1/14) assuming d is positive.
d**(87/5)
Simplify ((q**(1/4)*q)**(1/36)/(q*q**1*q)**(30/7))**(-3/10) assuming q is positive.
q**(2585/672)
Simplify (d**(1/38)/(d*d/d**(-22)))**(-13/6) assuming d is positive.
d**(11843/228)
Simplify (a*a**2*a)**(10/7)*((a*a**(2/3))/a)**(-12) assuming a is positive.
a**(-16/7)
Simplify ((((((v*v/(v/(v*v**6)))/v)/v)/v)/(v/v**6))**(-30/11))**(2/25) assuming v is positive.
v**(-24/11)
Simplify (((p*p*p*p**(-17/3)*p)/(p**(2/5)*p))**(-4/13))**(1/26) assuming p is positive.
p**(92/2535)
Simplify (v/v**(2/3))/v*v**20*v*v**(2/7)*v*v*v**7/v*v*v*v*v*v assuming v is positive.
v**(706/21)
Simplify (b**(1/6))**(-35)/(b**(-2/5)/b)**(27/2) assuming b is positive.
b**(196/15)
Simplify r**3/r*r/(r/(r**23*r))*(r/(r/((r**(-4/17)*r)/r)))**21 assuming r is positive.
r**(358/17)
Simplify (m**22*m*m/(m*m/m**20))/(m**(-1/2))**(-3/17) assuming m is positive.
m**(1425/34)
Simplify (l**26/(l*l*((l*l**(-2/81)*l)/l)/l))/(l*l/l**28*(l**(-3/10)*l)/l) assuming l is positive.
l**(40763/810)
Simplify (s**(-4))**(19/2)*(s**(-11/2)*s)/(s*s*(s/s**(-2/21)*s)/s*s*s) assuming s is positive.
s**(-1999/42)
Simplify (x**14/x**5)/(x/(x**2/x*x))**(10/13) assuming x is positive.
x**(127/13)
Simplify n*n*n/((n*(n/((n*n/(n**(-12/11)*n))/n))/n)/n)*(n*n**(-15))/n*n**(-8)/(n*n*n*n/(n/(n**(-2/17)/n))*n) assuming n is positive.
n**(-4075/187)
Simplify (a**1/((a*(a*a**(-2/19))/a*a*a)/a*a))/((a**(-2/7)/a)/a*a/((a/(a**(2/17)/a))/a)) assuming a is positive.
a**(618/2261)
Simplify (v*v*v*(v/v**(4/5))/v*v)**(-6/17)*v/v**(-9)*v*(v**(1/12)*v)/v assuming v is positive.
v**(10153/1020)
Simplify (s*s*s*s**18*s*s)/s*s**(-3/7)*(s/s**(-11))/s**(-2/35) assuming s is positive.
s**(1177/35)
Simplify w**(-1/4)/(w**(-4/9)*w)*w**15/w*w*w**13 assuming w is positive.
w**(979/36)
Simplify z**(-4)/(z**(1/14)*z)*(z**(-1/11)/z*z)**(-24/5) assuming z is positive.
z**(-3569/770)
Simplify ((t**(-2)/t*t**(5/4))**(-4/35))**(21/2) assuming t is positive.
t**(21/10)
Simplify w*w/w**19*w**25*(((w*w**5/w)/w)/w)/w**(-26) assuming w is positive.
w**37
Simplify (((m/(m*m/m**(17/2)))/m*m)/m**(8/5))/(m/(m**(1/7)/m))**(3/5) assuming m is positive.
m**(67/14)
Simplify (((n/n**(-1)*n)/n)**9*n**(2/9)*n**1)**(-14) assuming n is positive.
n**(-2422/9)
Simplify ((h/(h*h**(-4)*h))/h**2)/(h**(-3))**(-35) assuming h is positive.
h**(-104)
Simplify o**(6/5)/o**(1/19)*(o*o**(-4/3))**(-10/3) assuming o is positive.
o**(1931/855)
Simplify (y/(y/(y*y**(5/2)/y))*y**(-32))/(y**1/y**11) assuming y is positive.
y**(-39/2)
Simplify (((d/d**11*d)/d*d)/(d*d/d**(-10)))/((d/(d*d*d/(d*d*(d*d**13)/d*d*d*d*d)*d*d))/(d*d/d**(1/5))) assuming d is positive.
d**(-171/5)
Simplify (o*o**(-15)*o/(o/(((o/(o/(o*o*o**12*o))*o)/o*o)/o)*o))/(o**26*o**(-12/5)) assuming o is positive.
o**(-118/5)
Simplify (g**2*g)**(-37)/(g**2)**(-6/25) assuming g is positive.
g**(-2763/25)
Simplify ((y/(y/y**(-3/4))*y)/(y*(y/y**(1/2)*y)/y))/(y**1/y*y**6) assuming y is positive.
y**(-29/4)
Simplify ((d*d**(18/7))**36)**(-18/11) assuming d is positive.
d**(-16200/77)
Simplify ((p**(-16)*p)/p)**(-1)/(p*p*p**(9/2)*p*p/(p**(1/16)/p)) assuming p is positive.
p**(105/16)
Simplify w/w**6*w*w**(-5/3)*(w**(-6/7)/w)/(w*w/(w/w**10)*w*w) assuming w is positive.
w**(-431/21)
Simplify ((n/((n*n**(-26))/n*n))**(-30))**(-18/5) assuming n is positive.
n**2808
Simplify w/w**(-9)*w**11*(w/w**(-2/3))/w**9 assuming w is positive.
w**(41/3)
Simplify (l/((((l**(1/25)/l*l)/l)/l)/l))/(l/(l/l**(-8/3)))*((l*(l*l**3/l)/l*l)/l)/l*l*l**(-22/5)/l assuming l is positive.
l**(317/75)
Simplify (((f**(-2/3))**19)**(10/7))**(-14) assuming f is positive.
f**(760/3)
Simplify ((p/(p/((p/p**13)/p))*p*p)/(((p/p**9)/p)/p))/((p**(-2/3)*p)/p**(-9)) assuming p is positive.
p**(-31/3)
Simplify o/(o/(o/((o**14/o)/o))*o)*(o*(o*o**(-1/11)/o*o)/o*o)/o*o**3/(o*o/(o/(((o**17/o*o)/o)/o)*o*o*o*o)) assuming o is positive.
o**(-221/11)
Simplify ((k/(k**1/k))**47/(k**(-1/3)/k)**(-4/5))**23 assuming k is positive.
k**(15847/15)
Simplify (k**(2/7)*k**(-6)*k*k**(-9)*k**(-5))**(2/97) assuming k is positive.
k**(-262/679)
Simplify ((w**(-1/2)*w)/w*w*w**(-16))/((w*w/(w*w**(-2/9))*w)/(w*w/w**16)) assuming w is positive.
w**(-571/18)
Simplify (j**(2/11)/j**(-9))/((j*j**(3/8))/(j*j*j**(2/5))) assuming j is positive.
j**(4491/440)
Simplify (q**29/(q/(q*q/(q*q**24)*q*q)))/(q**0*q/(q*q**17/q)) assuming q is positive.
q**23
Simplify (j*j/(j/(j/(j*j**(-13))*j)*j)*j*j**(2/13))/(j*j/(j*j**(-5))*j*j)**(-35) assuming j is positive.
j**(3837/13)
Simplify ((i**5)**(25/3))**(-8/5) assuming i is positive.
i**(-200/3)
Simplify (s**8)**(-18)*(s*s**4*s)/(s/(s*s*s/(s*s/(s/(s**(1/28)*s)))*s*s)) assuming s is positive.
s**(-3809/28)
Simplify ((v/(v/v**(-2/7)*v)*v) | {
"pile_set_name": "DM Mathematics"
} |
7/6 of a hour in seconds?
4200
What is 995831.8km in micrometers?
995831800000000
What is seven halves of a kilometer in meters?
3500
What is 917.8045cm in millimeters?
9178.045
What is twenty-seven quarters of a gram in milligrams?
6750
How many millilitres are there in 44/5 of a litre?
8800
What is 13/5 of a day in minutes?
3744
Convert 989.8213 centimeters to millimeters.
9898.213
How many millilitres are there in one quarter of a litre?
250
What is 50699.64 litres in millilitres?
50699640
How many seconds are there in one sixth of a day?
14400
What is 28/3 of a hour in minutes?
560
How many minutes are there in four sevenths of a week?
5760
How many millilitres are there in three tenths of a litre?
300
What is 5/4 of a kilometer in meters?
1250
What is 46/5 of a century in decades?
92
What is 1209.869 nanometers in millimeters?
0.001209869
What is 3/50 of a week in seconds?
36288
What is 2/15 of a hour in minutes?
8
What is 27.77286 months in years?
2.314405
What is 5/4 of a microgram in nanograms?
1250
What is fourty-eight fifths of a litre in millilitres?
9600
Convert 465082.6 micrograms to kilograms.
0.0004650826
What is 75553.25 millennia in months?
906639000
What is 310.6493 weeks in seconds?
187880696.64
What is twenty-one halves of a meter in centimeters?
1050
What is 1/6 of a minute in seconds?
10
What is 27/5 of a microgram in nanograms?
5400
What is 1/4 of a tonne in kilograms?
250
How many litres are there in 4.574439 millilitres?
0.004574439
What is 477.4466 milligrams in kilograms?
0.0004774466
Convert 6.619871 milligrams to micrograms.
6619.871
Convert 0.806358 kilometers to micrometers.
806358000
What is sixty-seven thirds of a year in months?
268
What is 4.6548 tonnes in nanograms?
4654800000000000
How many millennia are there in 153.6873 years?
0.1536873
What is 9.99636 litres in millilitres?
9996.36
How many grams are there in 91170.15t?
91170150000
What is ten sevenths of a week in minutes?
14400
How many centimeters are there in 20616.43 meters?
2061643
How many days are there in 239031.3 weeks?
1673219.1
Convert 7.984057 millilitres to litres.
0.007984057
How many kilograms are there in 49/4 of a tonne?
12250
What is 35181.29km in meters?
35181290
How many litres are there in 39.27908 millilitres?
0.03927908
How many minutes are there in 62.4837 milliseconds?
0.001041395
What is 10/3 of a millennium in months?
40000
Convert 2.940787 years to centuries.
0.02940787
How many decades are there in twenty-one quarters of a millennium?
525
How many months are there in 1/10 of a century?
120
How many grams are there in seventy-two fifths of a kilogram?
14400
How many milligrams are there in 3479.8 nanograms?
0.0034798
How many millilitres are there in 3/50 of a litre?
60
Convert 76768.38ug to tonnes.
0.00000007676838
How many kilograms are there in 1/10 of a tonne?
100
Convert 7.213163g to milligrams.
7213.163
What is 85367.31 days in microseconds?
7375735584000000
What is thirty-seven halves of a millisecond in microseconds?
18500
How many millilitres are there in thirty-two fifths of a litre?
6400
Convert 393923.4ns to minutes.
0.00000656539
How many meters are there in three fifths of a kilometer?
600
How many centimeters are there in one fifth of a meter?
20
What is 41.09546 micrograms in milligrams?
0.04109546
How many seconds are there in five sixths of a hour?
3000
How many tonnes are there in 9.87682 milligrams?
0.00000000987682
How many grams are there in 6/5 of a kilogram?
1200
How many milligrams are there in 29/5 of a gram?
5800
What is 21/2 of a milligram in micrograms?
10500
How many millennia are there in 947019.2 centuries?
94701.92
What is 4815396.6 days in weeks?
687913.8
How many kilograms are there in sixty-one quarters of a tonne?
15250
What is four thirds of a minute in milliseconds?
80000
How many minutes are there in seven thirds of a hour?
140
What is 19/4 of a litre in millilitres?
4750
How many millennia are there in 0.025457 decades?
0.00025457
Convert 3.665083 nanometers to micrometers.
0.003665083
What is 588.9765l in millilitres?
588976.5
How many nanometers are there in 12/25 of a micrometer?
480
What is 21/4 of a litre in millilitres?
5250
What is 3/40 of a meter in millimeters?
75
What is fifty-one quarters of a millimeter in micrometers?
12750
How many millilitres are there in fourty-one halves of a litre?
20500
Convert 274.2497um to millimeters.
0.2742497
What is 55.95584ml in litres?
0.05595584
What is 2.977773km in meters?
2977.773
What is 1/4 of a century in years?
25
What is five sixths of a century in months?
1000
How many years are there in thirteen fifths of a decade?
26
How many years are there in 3/5 of a century?
60
What is 27/4 of a litre in millilitres?
6750
How many micrometers are there in eleven halves of a millimeter?
5500
What is 2869.87 millennia in months?
34438440
How many millennia are there in 213594.9 months?
17.799575
What is sixty-one quarters of a hour in minutes?
915
How many months are there in 32/5 of a century?
7680
What is 7/4 of a kilogram in grams?
1750
What is 61.85192 kilometers in millimeters?
61851920
Convert 15189.08nm to micrometers.
15.18908
What is 57.80734 millilitres in litres?
0.05780734
What is 9780.592 kilometers in centimeters?
978059200
How many kilometers are there in 8164.02 nanometers?
0.00000000816402
Convert 14629.227 months to centuries.
12.1910225
How many years are there in twenty-one halves of a millennium?
10500
How many days are there in 15280.5393ns?
0.00000000017685809375
Convert 57.69 months to decades.
0.48075
How many micrometers are there in 15/4 of a millimeter?
3750
What is 5/4 of a litre in millilitres?
1250
How many millilitres are there in seven halves of a litre?
3500
What is eighteen fifths of a millennium in years?
3600
Convert 230182.7 hours to microseconds.
828657720000000
Convert 0.6918683 years to months.
8.3024196
What is twenty-one quarters of a year in months?
63
Convert 89101.51ml to litres.
89.10151
Convert 79.53183 nanograms to tonnes.
0.00000000000007953183
How many nanoseconds are there in one tenth of a millisecond?
100000
What is 1.959508 litres in millilitres?
1959.508
Convert 658.7449 millimeters to kilometers.
0.0006587449
Convert 99219.08 micrograms to kilograms.
0.00009921908
What is twenty-one fifths of a millimeter in micrometers?
4200
What is 7375.833 months in centuries?
6.1465275
How many nanometers are there in 0.6467197 centimeters?
6467197
How many microseconds are there in 32.77653 weeks?
19823245344000
What is twenty-six fifths of a millisecond in microseconds?
5200
What is three eighths of a gram in milligrams?
375
Convert 801.6811s to microseconds.
801681100
What is seventeen quarters of a meter in centimeters?
425
Convert 0.3438331 years to millennia.
0.0003438331
What is seventeen sixths of a day in minutes?
4080
How many years are there in 27/4 of a millennium?
6750
What is fifty-eight thirds of a year in months?
232
How many micrograms are there in twenty-five quarters of a milligram?
6250
What is 660125.3 centuries in months?
792150360
What is fourty-two fifths of a century in decades?
84
Convert 28.57884nm to millimeters.
0.00002857884
How many weeks are there in 93149.9352s?
0.15401775
How many millennia are there in 490.2469 decades?
4.902469
How many grams are there in sixty-seven quarters of a kilogram?
16750
What is three fifths of a kilometer in meters?
600
What is 0.404489 meters in millimeters?
404.489
How many years are there in 18/5 of a decade?
36
How many millilitres are there in one twentieth of a litre?
50
Convert 388.2169 micrometers to millimeters.
0.3882169
How many millilitres are there in 252.5838 litres?
252583.8
What is 94.3255 hours in milliseconds?
339571800
What is 655.1769mm in micrometers?
655176.9
What is 2/9 of a hour in seconds?
800
How many decades are there in 32/5 of a century?
64
How many millilitres are there in 13/4 of a litre?
3250
What is eleven quarters of a litre in millilitres?
2750
Convert 6026.22 millilitres to litres.
6.02622
How many millilitres are there in eighty-seven quarters of a litre?
21750
What is 78018.38ml in litres?
78.01838
How many micrograms are there in 14.74284mg?
14742.84
Convert 8504.819 litres to millilitres.
8504819 | {
"pile_set_name": "DM Mathematics"
} |
)?
5
Let q(p) = -99*p**3 + 2*p**2 + 2*p + 1. Calculate q(-1).
100
Let m(l) = 2*l**3 + 4*l**2 + 3*l. Determine m(-3).
-27
Let c(p) = p**2 + 22*p - 40. What is c(-24)?
8
Let i(y) = -2*y**2 + 55*y - 312. What is i(8)?
0
Let c(z) = -z**3 - 6*z**2 - 10*z - 3. What is c(-4)?
5
Let b(l) = l**3 + 6*l**2 - 10*l - 18. Calculate b(-7).
3
Let r(b) = -7*b**3 + 2*b**2 - 4*b + 3. Calculate r(1).
-6
Let u(q) = -q**3 - 13*q**2 + 11*q - 2. What is u(-14)?
40
Let x(q) = 14*q - 212. Determine x(15).
-2
Let m(n) = n**2 + n - 15. Give m(-9).
57
Let x(f) = 5*f - 20. What is x(14)?
50
Let o(b) = -b**3 + 11*b**2 + 11*b + 6. Give o(12).
-6
Let i(j) = j**3 - 8*j**2 - 8*j + 9. Determine i(9).
18
Let p(d) = -8*d + 15. Calculate p(-9).
87
Let x(s) = -2*s - 3. Give x(10).
-23
Let z(h) = 22*h - 212. Determine z(10).
8
Let c(n) = -n**2 + 27*n - 32. Determine c(26).
-6
Let t(o) = 2*o**3 - 14*o**2 + 3*o - 2. Give t(7).
19
Let y(d) = -8*d + 197. Give y(25).
-3
Let w(n) = -47*n**3 - 2*n**2 + n. Give w(1).
-48
Let i(z) = z**2 - 13*z + 27. Determine i(11).
5
Let w(r) = -4*r**2 - 2*r + 4. Calculate w(0).
4
Let q(g) = -g**2 + 8*g + 5. Calculate q(4).
21
Let w(x) = -3*x**3 - 4*x**2 - 5*x - 7. Determine w(-3).
53
Let m(a) = 3*a - 26. Determine m(13).
13
Let l(f) = f**3 - 13*f**2 - 29*f - 12. Determine l(15).
3
Let r(l) = l**2 + 17*l - 107. Determine r(-22).
3
Let n(w) = w**2 - 24*w - 171. What is n(29)?
-26
Let u(x) = -12*x + 72. Give u(6).
0
Let l(q) = -q - 13. What is l(-19)?
6
Let t(j) = j**3 - 5*j**2 + 3*j + 1. What is t(5)?
16
Let w(u) = 6*u + 25. Determine w(-3).
7
Let u(j) = -7*j + 3. Give u(-1).
10
Let r(s) = 13*s + 2. Determine r(-1).
-11
Let b(l) = l**3 + 12*l**2 - 19*l - 3. What is b(-13)?
75
Let o(a) = -a**2 + 4*a + 16. What is o(7)?
-5
Let q(c) = 19*c - 7. Determine q(8).
145
Let p(k) = -k**3 - 13*k**2 - 2*k - 6. Give p(-13).
20
Let p(h) = h**3 - 20*h**2 - 2*h - 57. What is p(20)?
-97
Let w(v) = 2*v**2 - 7*v - 7. What is w(9)?
92
Let k(n) = -n**2 - 7*n + 8. Determine k(-6).
14
Let y(c) = c + 3. Determine y(-9).
-6
Let s(v) = v**3 + 8*v**2 + 11*v + 5. Give s(-7).
-23
Let q(x) = x**3 - 2*x**2 - 3*x + 6. Determine q(3).
6
Let u(t) = t**3 - 6*t**2 - 8*t - 4. Calculate u(7).
-11
Let l(o) = -10*o - 12. What is l(9)?
-102
Let f(x) = -2*x**2 + 15*x - 9. Give f(7).
-2
Let n(f) = f**2 - 7*f - 92. What is n(14)?
6
Let j(h) = 2*h**3 + 4*h**2 + 2*h + 6. Determine j(-2).
2
Let g(z) = 4*z - 11. Give g(4).
5
Let q(s) = -3*s**2 - 2*s + 2. What is q(3)?
-31
Let w(k) = k**2 + 14*k + 25. What is w(-11)?
-8
Let y(a) = -a**3 + 5*a**2 - 3*a - 6. Determine y(4).
-2
Let i(t) = -21*t + 113. What is i(5)?
8
Let r(x) = x**2 - 41*x - 128. Give r(44).
4
Let w(j) = -3*j**2 + 37*j + 1. Determine w(12).
13
Let r(z) = -z**2 - 15*z - 31. Determine r(-9).
23
Let w(r) = -7*r + 3. Calculate w(-2).
17
Let i(x) = 2*x**2 + 35*x - 6. What is i(-18)?
12
Let d(q) = -27*q - 3. What is d(0)?
-3
Let m(a) = 5*a + 48. Calculate m(-8).
8
Let l(m) = -39*m**2 - 1131*m + 6. Determine l(-29).
6
Let x(o) = o**2 - 12*o + 19. Give x(8).
-13
Let r(f) = 2*f**3 + 4*f**2 - f - 2. What is r(1)?
3
Let w(i) = i**2 - 3*i - 1. What is w(7)?
27
Let m(i) = 6*i - 1. Calculate m(-2).
-13
Let x(a) = a**2 + 22*a - 12. Give x(-26).
92
Let t(r) = -4*r - 6. Give t(-4).
10
Let z(s) = s**2 + 5*s - 46. Determine z(-14).
80
Let j(d) = d**3 - 11*d**2 - 22*d - 50. Give j(13).
2
Let b(p) = -p**3 - 4*p**2 + 30*p + 9. Calculate b(4).
1
Let t(u) = -9*u**2 + 90*u - 3. Calculate t(10).
-3
Let o(g) = 3*g**2 - 181*g - 129. Determine o(61).
-7
Let x(n) = 3*n**3 + 2*n**2 - 3*n - 2. What is x(-2)?
-12
Let v(j) = -j**3 + 7*j**2 - 3*j + 5. Give v(7).
-16
Let q(s) = -s**3 + 3*s**2 - 4*s + 4. Give q(3).
-8
Let m(w) = w**3 + 3*w**2 - 5*w + 5. Give m(-5).
-20
Let g(y) = -y**2 + 2*y + 41. Determine g(6).
17
Let g(l) = 4*l + 42. Determine g(-11).
-2
Let m(x) = -25*x**3 + 2*x**2 - 3*x + 4. Determine m(2).
-194
Let q(v) = v**2 + 19*v + 8. Determine q(0).
8
Let d(f) = -f**3 - 3*f**2 - 2*f - 8. Give d(-6).
112
Let b(s) = s**3 + 4*s**2 - 45*s - 202. Calculate b(-5).
-2
Let c(a) = -2*a**2 - 35*a - 11. Calculate c(-15).
64
Let t(b) = 12*b**2 - b - 2. What is t(-2)?
48
Let g(f) = -2*f**2 - 4*f + 5. Determine g(-6).
-43
Let l(z) = z**3 + 4*z**2 - 10*z - 7. Determine l(-6).
-19
Let j(g) = -104*g + 940. Determine j(9).
4
Let f(x) = -x**2 - 19*x + 14. Give f(-20).
-6
Let z(f) = -17*f + 76. Calculate z(5).
-9
Let k(c) = -9*c + 13. Give k(-2).
31
Let c(o) = o - 12. Determine c(3).
-9
Let h(i) = -i**2 + 11*i - 12. Calculate h(10).
-2
Let k(y) = y**3 - 10*y**2 - 28*y + 50. What is k(12)?
2
Let z(j) = 3*j**2 - 102*j + 10. Calculate z(34).
10
Let h(n) = -n**3 - 11*n**2 - 12*n - 15. Calculate h(-10).
5
Let f(q) = q**2 - 11*q + 18. Determine f(2).
0
Let r(v) = -20*v + 20. Give r(1).
0
Let w(l) = l**2 + 6*l - 6. What is w(-6)?
-6
Let m(w) = w + 11. Calculate m(-14).
-3
Let s(m) = -m**2 + 25*m - 20. What is s(24)?
4
Let w(n) = -9*n - 472. What is w(-53)?
5
Let b(k) = -9*k - 19. Calculate b(-8).
53
Let z(i) = i**2 + 27*i + 181. What is z(-15)?
1
Let g(a) = -2*a + 25. Calculate g(11).
3
Let v(s) = -s**2 + 3*s + 78. Calculate v(-8).
-10
Let p(v) = v**2 - 12*v + 17. What is p(13)?
30
Let o(t) = 29*t**3 - 1. What is o(1)?
28
Let r(i) = -i - 23. Give r(0).
-23
Let u(z) = z**2 + 17*z + 50. Give u(-12).
-10
Let u(c) = 12*c + 65. Give u(-6).
-7
Let x(c) = c**2 + 4*c + 3. Determine x(-4).
3
Let a(z) = -z**2 - 17*z + 12. Calculate a(-17).
12
Let g(m) = m**2 - 11*m + 23. Give g(0).
23
Let a(s) = s**3 + 2*s**2 - 5*s + 4. What is a(-5)?
-46
Let n(z) = 3*z - 24. Determine n(6).
-6
Let w(v) = 4*v**2 + 35*v + 12. What is w(-8)?
-12
Let g(x) = -5*x - 11. Calculate g(-3).
4
Let q(w) = 21*w + 44. Give q(0).
44
Let x(f) = -14*f - 7. Give x(4).
-63
Let p(u) = 3*u**2 + 12*u - 18. Give p(2).
18
Let f(r) = -r**2 + 40*r + 169. Calculate f(44).
-7
Let p(a) = 5*a + 18. Calculate p(6).
48
Let d(m) = -4*m + 18. Calculate d(-25).
118
Let o(w) = w - 5. Calculate o(1).
-4
Let a(y) = y**3 + 5*y**2 + y - 3. Determine a(-4).
9
Let c(l) = 37*l - 226. What is c(6)?
-4
Let g(y) = -14*y - 1. Give g(1).
-15
Let u(t) = -36*t + 169. Give u(6).
-47
Let s(q) = 2*q**2 + 10*q + 5. Give s(-4).
-3
Let g(d) = 6*d**3 + 3*d**2 + 3*d + 3. Determine g(-2).
-39
Let z(r) = -r**3 - 14*r**2 - 10*r + 5. Give z(-13).
-34
Let d(h) = -6*h + 37. Calculate d(6).
1
Let v(k) = 2*k + 2. What is v(-4)?
-6
Let d(q) = 5*q**2 + 104*q - 31. Give d(-21).
-10
Let r(d) = 17*d + 29. Determine r(-8).
-107
Let m(i) = -3*i**2 - 17*i. Give m(-7).
-28
Let z(l) = 2*l**3 - 68*l**2 + 2*l - 58. What is z(34)?
10
Let b(j) = -8*j + 37. What is b(4)?
5
Let v(f) = f**3 + 2*f**2 - 25*f + 4. Calculate v(-6).
10
Let s(t) = t**2 - 26*t - 3. Calculate s(26).
-3
Let f(o) = -7*o + 15. Determine f(6).
-27
Let s(p) = 2*p**2 + 23*p + 11. What is s(-11)?
0
Let g(f) = -3*f**2 - 55*f + 43. What is g(-19)?
5
Let j(n) = n**2 + n - 8. Give j(-8).
48
Let j(k) = -2*k**2 + 4*k + 4. What is j(4)?
-12
Let c(y) = 7*y**2 + 1. Determine c(1).
8
Let c(g) = -6*g + 97. Determine c(14).
13
Let i(t) = 6*t - 2. What is i(-1)?
-8
Let h(d) = -2*d**2 - 13*d + 5. Give h(-7).
-2
Let w(f) = -f**2 + 4. Give w(4).
-12
Let t(o) = -3*o**3 - 4*o**2 - 2*o. Calculate t(-2).
12
Let m(y) = -6*y**2 - 17*y - 11. Calculate m(-2).
-1
Let f(q) = -q**2 - 13*q + 9. What is f(-5)?
49
Let d(r) = 2*r**3 + r + 1. Calculate d(-1).
-2
Let g(w) = 2*w**3 - 4*w**2 + w - 3. Give g(2).
-1
Let l(q) = q**3 + 6*q**2 + 5*q + 10. Determine l(-5).
10
Let s(q) = -12*q - 28. What is s(-1)?
-16
Let r(l) = -l**3 + 16*l**2 - 13*l - 30. What is r(15)?
0
Let n(a) = -a**3 + 15*a**2 + 20*a - 73. What is n(16)?
-9
Let b(f) = -6*f**3 + 14*f**2 - 3*f + 1. What is b(3)?
-44
Let k(g) = g**3 - 10*g**2 - 7*g + 54. Determine k(10).
-16
Let k(t) = -t**3 + 6*t**2 - 7*t. Calculate k(5).
-10
Let y(s) = -7*s + 49. What is y(11)?
-28
Let b(c) = 10*c - 19. Give b(7).
51
Let q(u) = -25*u**3 - u**2 + 1. Give q(-1).
25
Let x(i) = -2*i - 3. What is x(-6)?
9
Let w(q) = -q**3 - 6*q**2 + 2*q - 5. Determine w(-6).
-17
Let v(f) = -10*f + 22. Determine v(1).
12
Let w(v) = 2*v - 4. What is w(7)?
10
Let m(v) = v**3 - 10*v**2 + 16*v + 7. Calculate m(7).
-28
Let s(d) = -3*d**2 - 4*d + 6. Determine s(1).
-1
Let d(w) = -w + 11. Calculate d(6).
5
Let o(d) = d**3 - 2*d**2 - d - 10. G | {
"pile_set_name": "DM Mathematics"
} |
s in ascending order.
-3/5, -0.1, s
Suppose -5*r - 6*a + 15 = -a, 2*r - 3 = -5*a. Suppose 3*i + 6 = q - 0*q, -r = q + 2*i. Sort q, 5, 2 in ascending order.
q, 2, 5
Suppose 3*n = -n - 8. Let t be (-3)/1 - (-2 - n). Sort -4, 5, t in increasing order.
-4, t, 5
Suppose -c = 2 - 0. Sort 3, c, -4 in decreasing order.
3, c, -4
Suppose 2 = -b + 4. Let z = b - 4. Sort z, -5, 5 in ascending order.
-5, z, 5
Let j = 168 - 163. Suppose -5*y - 8 = -2*w, -2*w - 3*y - 16 = -6*w. Put j, w, 1 in descending order.
j, w, 1
Let b be (-80)/192 - 2/(-8). Let t = 0 - 0.2. Put -4, b, t in decreasing order.
b, t, -4
Let l = -35282/49 - -720. Let q = -45/98 + l. Let s = -85 - -337/4. Put q, s, 1/3 in decreasing order.
1/3, q, s
Let u(n) = -2*n**2 - 15*n - 9. Let l be u(-7). Sort 1, l, 2.
l, 1, 2
Let v(k) = -k**2 - 8*k + 3. Let l be v(-8). Suppose l*f - 10 = -2*f. Sort f, 0, -1 in decreasing order.
f, 0, -1
Let t be (-1)/(44/2)*2. Sort t, 1.5, -2.
-2, t, 1.5
Let m = -1.94 - 0.06. Let b be 5*4/12 - 1. Sort 1, b, m.
m, b, 1
Let p = 4 - 6. Let f be 0/((-2 - -2) + 2). Suppose -v - v = f. Sort v, 4, p in ascending order.
p, v, 4
Suppose 388 = 2*p - 2*o, -4*p - 2*o + 756 = -o. Let w be 1/5 - p/(-50). Put -4, -2, w in ascending order.
-4, -2, w
Suppose 3*d - 38 = -4*i - 2*d, 2*i = -d + 16. Sort -3, 2, 3, i in descending order.
i, 3, 2, -3
Suppose 4 - 1 = 2*a + l, -1 = -l. Let y be 135/60 - (-1)/(-4). Sort a, y, 5 in decreasing order.
5, y, a
Let z = -4 + 3. Let m be ((-6)/45)/((-4)/(-100)) + 4. Put m, 0.1, z in descending order.
m, 0.1, z
Let b = -53 + 54. Sort b, 2, -3, -5.
-5, -3, b, 2
Let n = 9 + -8. Let b = n - 0.6. Let f = b - -0.6. Sort f, -0.3, -0.1 in decreasing order.
f, -0.1, -0.3
Let m = 13 + -15. Sort m, 0, -0.2 in increasing order.
m, -0.2, 0
Let y = -6.9 - -6.7. Put -4, y, -5, 0.2 in decreasing order.
0.2, y, -4, -5
Let h = -2 + -2. Let p = -2 - h. Sort p, 5, 3 in decreasing order.
5, 3, p
Let w be (-2)/(-5) + 18/(-45). Let q be w/((-2)/(-2 - -1)). Put q, -4, 4 in ascending order.
-4, q, 4
Let p be (-9)/(-18) + (-1)/(-2). Sort 0.4, -2/7, p in ascending order.
-2/7, 0.4, p
Let l = -11 - -1. Let a = -6 - l. Let d(c) = 4*c**3 + 2*c**2 - 1. Let g be d(1). Sort g, a, 3.
3, a, g
Let v(z) = -z**2 - 9*z + 5. Let q be v(-9). Sort 2, q, 1 in decreasing order.
q, 2, 1
Suppose -b = 2*x + 4, -3*b - 10 = -x + 5*x. Put b, 2, 4 in descending order.
4, 2, b
Let z(l) = 12*l - 58. Let d be z(5). Sort 15, 4, d, -3 in increasing order.
-3, d, 4, 15
Suppose -3*m = -m + 2. Put 4, 0, m in ascending order.
m, 0, 4
Suppose -g + 5*f - 16 = 12, 3*f = -3*g - 12. Let t(c) = -c**2 + 5*c + 5. Let x be t(5). Put -5, x, g in increasing order.
g, -5, x
Let b = 87.3 + -87. Sort -0.5, b, 0.7 in increasing order.
-0.5, b, 0.7
Let x be 10/4 - (1 + 1). Suppose -4*k = -3*k - 3. Let d = 2 - k. Sort d, x, -0.1 in ascending order.
d, -0.1, x
Let p(c) = -3*c + 9. Let q be p(4). Sort q, -2, -4 in descending order.
-2, q, -4
Suppose 5*a + 4*s = 2*a + 7, 3*a + 2 = 5*s. Suppose 3*z - 4*v - 11 = 8*z, 5*z + 13 = -2*v. Put a, 5, z in ascending order.
z, a, 5
Suppose 9 = -3*u - 4*f, 5*u = -0*f - f - 15. Sort u, 5, -5.
-5, u, 5
Let r be (1/(-44))/((-1)/(-6)). Let s = -1/88 - r. Put -3, -2/57, s in ascending order.
-3, -2/57, s
Suppose -88 - 12 = 2*p - 4*r, 4*p + 3*r + 167 = 0. Let v be p/36 - (-2)/2. Put -0.2, v, -5 in decreasing order.
-0.2, v, -5
Let m = -1/88 + 281/1496. Let f = m - -8/51. Let q = -0.2 + 0.4. Put q, f, 2 in increasing order.
q, f, 2
Suppose -2*p - 208 = 2*p. Let d = p - -209/4. Let s be ((-4)/(-21))/(42/49). Sort -2, d, s in decreasing order.
d, s, -2
Suppose 2 + 6 = -2*f. Let k = 7 + f. Sort k, 5, 1 in decreasing order.
5, k, 1
Let h = -2 - -1.5. Let t = 3.01 - 0.01. Let n = t + -3.4. Sort n, 0.4, h in descending order.
0.4, n, h
Let y = 2/3 - 22/15. Sort y, 0, 4, 0.5 in descending order.
4, 0.5, 0, y
Suppose 2*x + 1 = -9. Sort -4, 4, x.
x, -4, 4
Suppose m + 4 = -3*m. Let s(c) = 180 - 180 - c + 0*c + 2*c**2. Let z be s(m). Put z, -4, -3 in decreasing order.
z, -3, -4
Suppose -5*t + 6*t + 4 = 0. Sort -25, 4, t.
-25, t, 4
Let p be (4/7)/((-18)/(-63)). Sort p, -4, 3.
-4, p, 3
Let p = 0.15 - -0.29. Let n = 0.04 - p. Let c = -0.3 - n. Put c, 2/17, 1 in descending order.
1, 2/17, c
Suppose 5*g - 15 = 0, 2*r - 2 = -g - 3. Let d = -0.4 - -0.6. Put 0, r, d in descending order.
d, 0, r
Let c be ((-252)/(-3465))/(2/45*3). Sort -2/5, 2/5, -0.1, c in descending order.
c, 2/5, -0.1, -2/5
Let k(f) = f**3 - f**2 + 2. Let x be k(2). Suppose -2*q - q - x = 0. Sort q, -6, -3 in ascending order.
-6, -3, q
Let i = -0.2 - -0.4. Let b = -0.3 + 0.4. Let x be 4/(-12) + (-7)/(-30). Sort x, b, i.
x, b, i
Let l be (-4)/18 - 16/90. Let s = 16 - 15. Let z be -1 - 0 - (s + -3). Put 2, l, z in decreasing order.
2, z, l
Suppose 0 = 2*n + 2*n - 16. Suppose 0 = a - q + 4, -2*a + 7 = n*q - 3. Let j = -6 + 6. Put j, a, 3 in descending order.
3, j, a
Let t = -219/1144 + 1/104. Let f = 9 + 1. Let y = 15 - f. Put -0.2, t, y in decreasing order.
y, t, -0.2
Suppose m + 0*m - 4 = 0. Sort m, -1, 3 in decreasing order.
m, 3, -1
Let n = -3.59 - 0.41. Sort n, -11, 5, -2/17.
-11, n, -2/17, 5
Suppose 4*y + 0*y = 0. Sort y, 6, -4 in decreasing order.
6, y, -4
Let m(f) = f**3 + f**2 + f - 4. Let b be m(0). Suppose -15 = -5*a - 2*u, 0 = a + 2*a + 2*u - 9. Let w = -6 - -11. Sort w, b, a in increasing order.
b, a, w
Let d be ((-4)/(-6))/((-6)/(-9)). Suppose -2*h + 5*p = -9, -3*p = -d + 10. Sort 2, 3, h.
h, 2, 3
Suppose -4*w + 18 = -c, 0 = -5*c - 0*c - 10. Let l(r) = -2*r + 5. Let m be l(4). Put m, w, -1 in increasing order.
m, -1, w
Let c = -41 + 45. Sort -1/9, c, 3/8, -2 in increasing order.
-2, -1/9, 3/8, c
Let r be -2 + ((-3 - -3)*-1)/(-1). Put 1, -8, r in decreasing order.
1, r, -8
Let w be 40/(-18) - 4/(-18). Let f(z) = z - 11. Let t be f(10). Sort -5, w, t in descending order.
t, w, -5
Let d = -1.6 - -0.5. Let s = -0.1 - d. Let a = 4 + s. Sort a, 1/5, -2 in decreasing order.
a, 1/5, -2
Suppose -o + 5*o = 8, -2*o = n + 1. Sort n, -3, -4, 2 in descending order.
2, -3, -4, n
Let n = 0.4 + 3.6. Sort 0.4, -1/4, n in ascending order.
-1/4, 0.4, n
Suppose 2*c = -3*c - 5*h + 10, -5*h + 18 = -3*c. Let r = c - -4. Sort -2/7, r, 0.5 in decreasing order.
r, 0.5, -2/7
Suppose 4*n = -2*x - 16, x + 0*x = -5*n - 14. Put -1, -10, x in increasing order.
-10, x, -1
Suppose 2 = -4*g + 2*g. Put -3, -6, g in descending order.
g, -3, -6
Let f = 0.2 + -0.2. Suppose 5*m - 8 = m. Suppose 0 = 3*q - m - 10. Sort f, q, -2/5 in ascending order.
-2/5, f, q
Let r be ((-4)/(-30))/((-12)/15). Sort 1, -5, r in descending order.
1, r, -5
Let f = 86/11 + -893/110. Let t = -727/21 - -103/3. Sort f, -3, t.
-3, f, t
Let k(y) = -y**2 - 8*y. Let c be k(-9). Let z = c + 14. Put -3, z, -5 in increasing order.
-5, -3, z
Let d be 8/(-6)*(-12)/8. Suppose 6*v - 4*v = d. Sort -5, -2, v in descending order.
v, -2, -5
Let x be (-8)/(-4) - (-3)/1. Suppose -7*s - 6 = -x*s. Suppose -3*c + 4*v - 6 = 0, 0 = -2*c + c + 2*v - 4. Sort s, c, -4 in decreasing order.
c, s, -4
Suppose 4*d - 7 = 5. Sort -3, -2, d, -1.
-3, -2, -1, d
Let l = 0.5 - 4.5. Let m = -3.98 - l. Let f = -0.12 + m. Put f, -2, 2/9 in ascending order.
-2, f, 2/9
Suppose -3*a = -6*a - 9. Let h be (2 + -1)*-1 + a. Sort -1, 4, h in decreasing order.
4, -1, h
Let j(c) = -4 - 3*c + 15 + 5*c. Let k be j(-5). Suppose -2*n - b + 3 = 0, 2*n = 4*b + 7 + 1. Put -1/3, k, n in descending order.
n, k, -1/3
Let m be (-4)/(-6) - 8/(-6). Let b be 2/3*m/4. Let w = -28/15 + 19/15. Put -0.2, b, w in descending order.
b, -0.2, w
Let m be (-215)/(-20) - (-1)/4. Let v = -9 + m. Let r = -1 + -2. Sort v, r, -4 in decreasing order.
v, r, -4
Let g = 17 - 219/13. Put -15, -0.5, g, 1/3 in decreasing order.
1/3, g, -0.5, -15
Suppose 2*w + 19 = 4*n + n, -2*w + 11 = n. Suppose -w*v = 3 - 18. Let c = -4 + v. Put -5, c, 4 in ascending order.
-5, c, 4
Let q = 0.31 + -0.01. Let z = 23.6 + -24. Sort q, z, -1 in ascending order.
-1, z, q
Let m = -11 - -16. Let y = 12 + -15. Sort 0.3, m, y in ascending order.
y, 0.3, m
Suppose -6*o + 18 = -2*o + 5*p, 5*o - 14 = -2*p. Let m(n) = -n**3 - 4*n**2 - 3*n - 2. Let v be m(-3). Sort v, 3, o in descending order.
3, o, v
Let w = -51 - -53. Put 1, w, 0.3 in ascending order.
0.3, 1, w
Let t = 0.5 + -0.3. Let b = t - -0.1. Suppose 2 | {
"pile_set_name": "DM Mathematics"
} |
qrt(8) + sqrt(8) + sqrt(80)/(sqrt(20)/sqrt(2))) - (5*sqrt(24)/sqrt(2))**2.
-300 + sqrt(3)/3
Simplify (3*(4 + -1*(sqrt(187) + (2*sqrt(187) - sqrt(187)))/sqrt(11)))**2.
-144*sqrt(17) + 756
Simplify (sqrt(208)/(sqrt(24)/sqrt(3)) + (1*sqrt(130) - sqrt(130))/sqrt(5) + sqrt(26))/(-2*sqrt(162)*-4).
sqrt(13)/36
Simplify 1*sqrt(98) + -2 + (sqrt(98) + 0 + sqrt(98)*-1)**2 - (-1 + -2*sqrt(98) + sqrt(98) + sqrt(98) + (sqrt(98) + 0)**2 + 1).
-100 + 7*sqrt(2)
Simplify (6*(-1*sqrt(85) - sqrt(85)) + (sqrt(85) - -1*-2*sqrt(85) - sqrt(85)))/(-2*sqrt(20)/sqrt(4) - sqrt(50)/(-1*sqrt(10))).
14*sqrt(17)
Simplify (-4 + (sqrt(125) + sqrt(125)*3*-2)*5 + 4)**2.
78125
Simplify (sqrt(32)/sqrt(2) + sqrt(4) + sqrt(4))/(sqrt(24)/sqrt(108)) + ((sqrt(20)/(sqrt(40)/sqrt(4)) + 5*(sqrt(2) + 1))*5)**2.
1512*sqrt(2) + 2425
Simplify ((-6*(-1 + sqrt(3) + sqrt(3)) + 2 - (-1*sqrt(27) - 4*(1 + sqrt(3))))*3)**2.
-1080*sqrt(3) + 1971
Simplify (-2 + 3*sqrt(48) + 3)**2 + -1.
24*sqrt(3) + 432
Simplify 6*(sqrt(48)*-2)**2 + -2 - (3*sqrt(108) - (sqrt(75) + 2 + sqrt(75))).
-8*sqrt(3) + 1152
Simplify 5 + (0 + 0 + sqrt(108))**2 - (-5 + (-5*(sqrt(108) - -2*sqrt(108)))**2).
-24182
Simplify (-3 + (sqrt(6)/sqrt(2) + -1 + 1)**2 + -3 + -5)*-5.
40
Simplify -1*(-1 + 2 + -1 + (sqrt(1539) + 0 - sqrt(1539)) + 5)**2.
-25
Simplify ((2*sqrt(216)*5)/sqrt(12))/(2*(sqrt(9) - sqrt(27)/sqrt(3)) + (sqrt(108)*-1)/sqrt(12)).
-10*sqrt(2)
Simplify -2*((sqrt(288) + 3)*-3 + 1 + (sqrt(2) - (0 + sqrt(18)) - sqrt(2)))**2.
-6212 - 1248*sqrt(2)
Simplify 5*(sqrt(7) - (2 + sqrt(847))) + (sqrt(343)*3 + 0 + sqrt(343))**2.
-50*sqrt(7) + 5478
Simplify (sqrt(7920)*-4)/((-2*sqrt(22))/sqrt(2) + sqrt(11)).
48*sqrt(5)
Simplify 4*((sqrt(36)/(-2*sqrt(3)) - sqrt(12))**2 - (sqrt(27) + 1 + -1)).
-12*sqrt(3) + 108
Simplify (((sqrt(18)*5 + sqrt(18))/sqrt(6) + (sqrt(3) - (2 + -3*sqrt(3))))*6)**2.
-1440*sqrt(3) + 10944
Simplify (-2*sqrt(2178)*5)/(-2*sqrt(576) - sqrt(900)*2).
55*sqrt(2)/18
Simplify 0 + ((-1 + (sqrt(7) - sqrt(28)))**2 + sqrt(7) + 4 + sqrt(7)*3)*3.
36 + 18*sqrt(7)
Simplify -5*(-2 + sqrt(847) + 2 + (sqrt(847) - sqrt(847)*-2)*6)**2.
-1528835
Simplify ((1*2*sqrt(66))/(sqrt(150)*2))**2 - (-2*(sqrt(110)/sqrt(2))/sqrt(5))**2*3.
-3289/25
Simplify -2*(3 + (-2 + 5 + sqrt(1300))**2).
-2624 - 120*sqrt(13)
Simplify (sqrt(68)*-2*1 - sqrt(68)*-2*6)/((sqrt(4) - (sqrt(8)/sqrt(2)*1 + sqrt(4)))*-2).
5*sqrt(17)
Simplify 5*(sqrt(40)/(-3*sqrt(4) - sqrt(4)) - sqrt(10))/(-5*(3*sqrt(5) + sqrt(5) + sqrt(5) + sqrt(5))).
5*sqrt(2)/24
Simplify sqrt(153) - (-4 + (-3*sqrt(153))**2) - (-3 + (sqrt(17)*3 - sqrt(17))*2).
-1370 - sqrt(17)
Simplify -2*-6*(1 + (-4*-2*sqrt(500) - sqrt(500))**2).
294012
Simplify (6*((sqrt(5) + -2 + sqrt(5) + sqrt(20) - (3 + sqrt(5) + 4)) + -1)*2)**2.
-8640*sqrt(5) + 20880
Simplify 1*((sqrt(1053) + 1)*-3)**2 + 2 + -4.
162*sqrt(13) + 9484
Simplify 0 + ((sqrt(300)/sqrt(6))/sqrt(10))**2*-2 + 2 + 1*sqrt(5)*-3.
-8 - 3*sqrt(5)
Simplify -6*(1 + 1 + sqrt(5) - sqrt(245)*-2 - (1*sqrt(45) + 2)).
-72*sqrt(5)
Simplify ((sqrt(136) + sqrt(136)*1)*2*6)/(-1*(sqrt(72)*2 - sqrt(72))).
-8*sqrt(17)
Simplify 5*((sqrt(98) + 0)*5 - (0 + ((1*sqrt(98))**2 - sqrt(98))) - (-3*sqrt(98)*1 + (-1*(2*sqrt(98) + sqrt(98)))**2)).
-4900 + 315*sqrt(2)
Simplify (-5*(sqrt(65) - -1*sqrt(65) - sqrt(65)))/sqrt(5) + (sqrt(624)*-3)/sqrt(3).
-17*sqrt(13)
Simplify (sqrt(216)/(sqrt(12)*2*5))/(2*sqrt(576)*4) + 4.
sqrt(2)/640 + 4
Simplify (sqrt(2880) + 3*sqrt(2880)*-2)/((sqrt(1440)*2 - sqrt(1440))*-6).
5*sqrt(2)/6
Simplify (-1 + 4*(((sqrt(15) + 2*sqrt(15))/sqrt(3) - ((sqrt(5) - sqrt(30)/sqrt(54)) + sqrt(5))) + -5))**2.
-224*sqrt(5) + 5249/9
Simplify (((sqrt(48) - sqrt(3))*-4 + sqrt(3))*-1 + -1)*-5.
-55*sqrt(3) + 5
Simplify (4 + ((0 + sqrt(567) + -1)*-2)**2 + -3)*1.
-72*sqrt(7) + 2273
Simplify (sqrt(3) - (-2*sqrt(15))/sqrt(5)) + sqrt(3) + -2*sqrt(3)*4 + (sqrt(363)*2)**2 + 4.
-4*sqrt(3) + 1456
Simplify (-5*(sqrt(1053) + sqrt(1053) + 2 + sqrt(1053)*2) + (0 + sqrt(1053) + 0)*-4)**2.
4320*sqrt(13) + 606628
Simplify -3*(sqrt(304) + 4*sqrt(304)*-1)**2 - ((sqrt(304) + (-2*(sqrt(304)*2 + sqrt(304)) - sqrt(304)))*-2)**2.
-51984
Simplify (1*(sqrt(77) + sqrt(77)*-1)*-5)/((4*sqrt(1512))/sqrt(6)).
0
Simplify (((sqrt(208) + 0 + sqrt(208))*-2 - sqrt(208)) + -4)*-1.
4 + 20*sqrt(13)
Simplify ((sqrt(600)*4*3)/sqrt(10))/(sqrt(108)/sqrt(225) - (sqrt(972)*2 + sqrt(972) + sqrt(972))).
-60*sqrt(5)/179
Simplify 2 + 1 + sqrt(304)*-4 + -2*(0 + sqrt(19)).
-18*sqrt(19) + 3
Simplify -3 + -4 + (sqrt(28) - (-4*sqrt(280))/sqrt(10)).
-7 + 10*sqrt(7)
Simplify (-3*(sqrt(405) + 0))**2*-2 + 2.
-7288
Simplify -6*5*sqrt(21)/sqrt(112)*1 + 5 + -3.
-15*sqrt(3)/2 + 2
Simplify -3 + sqrt(156)/(sqrt(3) - sqrt(27)) - (sqrt(52)*-1*1 - (sqrt(52) - ((sqrt(52) - (-1 + sqrt(52))) + 2))).
-6 + 3*sqrt(13)
Simplify ((sqrt(204) - (sqrt(204) + sqrt(204) + sqrt(204)*-5*3)) + sqrt(204) + sqrt(204) + sqrt(204))/(sqrt(1728)*4).
17*sqrt(17)/48
Simplify 2 + -5*sqrt(2)*2 + sqrt(96)/sqrt(3) + 3.
-6*sqrt(2) + 5
Simplify ((5 + 1 + sqrt(1539) + (sqrt(1539) - (sqrt(1539) - 2*(0 + sqrt(1539)))))*-3)**2*1.
2916*sqrt(19) + 124983
Simplify -2*-1*(3*sqrt(38)/sqrt(72))**2.
19/2
Simplify (sqrt(210)/sqrt(28))/sqrt(10) - ((sqrt(48)/sqrt(4))/sqrt(4) + ((3*sqrt(48) + sqrt(3))**2 - sqrt(3))).
-507 + sqrt(3)/2
Simplify ((sqrt(147) + 4*sqrt(147))/sqrt(7) - sqrt(21))/(sqrt(252)*3).
2*sqrt(3)/9
Simplify (-3*(sqrt(272) + 0)*6 + 2 + -2*sqrt(272) + -3)**2.
160*sqrt(17) + 108801
Simplify 2*(-2*(-4 + (sqrt(15)/sqrt(5)*3)**2*2) + -1).
-202
Simplify (2*(-2*(1 + sqrt(1331)) - sqrt(1331)))**2 + (-2 + (sqrt(99) - (sqrt(99) - 1*sqrt(99))) + 0)**2.
516*sqrt(11) + 48035
Simplify (-6*2*((sqrt(684)*-3 - sqrt(684)) + 4)*-5)**2.
-691200*sqrt(19) + 39456000
Simplify (-5 + 4*(2 + sqrt(208) + (sqrt(208)*1 - sqrt(208)) - sqrt(208)*2*-6) + 1)**2.
1664*sqrt(13) + 562448
Simplify (-4*(sqrt(192)/(1*sqrt(8)))/sqrt(2) + -1)*5.
-40*sqrt(3) - 5
Simplify sqrt(57)/(((sqrt(12) - sqrt(3)) + sqrt(3))*4) + -1 + ((-2*-1*sqrt(19))**2 + sqrt(19) - (sqrt(1539) + 1 - sqrt(1539))).
9*sqrt(19)/8 + 74
Simplify (2*((2 + (sqrt(2448)*1 - sqrt(2448)) - sqrt(2448)) + 3*-1*sqrt(2448)))**2.
-768*sqrt(17) + 156688
Simplify ((sqrt(105)/(sqrt(20)/sqrt(4)))/sqrt(7) + sqrt(192) + -1 + -3)**2.
-72*sqrt(3) + 259
Simplify 3*(-3 + sqrt(700) + (1 + sqrt(700))**2 + sqrt(28)*4 + (sqrt(112) + sqrt(7))**2*-5 + (sqrt(70)/sqrt(2))/sqrt(5)).
-531 + 117*sqrt(7)
Simplify (sqrt(13) - (-1 + sqrt(13) + -3))*-5 + ((1*sqrt(13) - sqrt(13))*-6)**2 + -5.
-25
Simplify 3*(((sqrt(704) + sqrt(704) + 0 + sqrt(704) - sqrt(704))*4 + sqrt(704) + (1*sqrt(704) - sqrt(704)) + 2)**2 + -1 + -4).
864*sqrt(11) + 171069
Simplify 2*(sqrt(147) + (-2 + sqrt(147) - sqrt(147))**2 + sqrt(147) + 4 - (3 + sqrt(147)*1)).
10 + 14*sqrt(3)
Simplify (((sqrt(80) + 4 + -3 - sqrt(80)) + (sqrt(80) - (-2 + sqrt(80) + 0)))*-5)**2.
225
Simplify (sqrt(1584) + sqrt(1584) + 0 + (sqrt(1584) - -2*sqrt(1584) - sqrt(1584)))**2*5 + (sqrt(1584) + 1 + -1)*-5.
-60*sqrt(11) + 126720
Simplify (2*-2*sqrt(700) - sqrt(700)) + 1 + 0 + sqrt(700) - (-2 + sqrt(700) + -1 + (-2*sqrt(700)*-1)**2).
-2796 - 50*sqrt(7)
Simplify (sqrt(63)/sqrt(36) - ((sqrt(567) - sqrt(567)*1)**2 - sqrt(7))) + ((sqrt(385) + sqrt(385)*-1)/sqrt(11))/(2*sqrt(45) + sqrt(5)).
3*sqrt(7)/2
Simplify (-3 + (1 + sqrt(2))**2)*-1 - (4*sqrt(8)/sqrt(4) + -4).
-6*sqrt(2) + 4
Simplify (5*(sqrt(1872) + sqrt(1872)*-1 + sqrt(1872) + sqrt(1872)))/(sqrt(8)/sqrt(2)*2 + sqrt(20)/sqrt(5)*5).
60*sqrt(13)/7
Simplify (-4*-1*(5*(sqrt(252) + 0) + 4))**2*-4.
-404224 - 15360*sqrt(7)
Simplify -6*(-6*(3*sqrt(176)*-1 + -4))**2.
-345600 - 20736*sqrt(11)
Simplify ((0 + sqrt(475) + (sqrt(475) + -3)*6 + sqrt(475) + sqrt(475) + (sqrt(475) - (0 + sqrt(475))) + 0)*6)**2.
-58320*sqrt(19) + 1396764
Simplify (-3 + (-1 + (sqrt(768) - sqrt(48)))*-3)**2.
3888
Simplify ((sqrt(931) + 2)*3 + 2)**2 + 2.
336*sqrt(19) + 8445
Simplify (-4 + sqrt(637) + (sqrt(637)*-1 - sqrt(637)))**2 + (3 + sqrt(637)*2 - sqrt(637))**2.
98*sqrt(13) + 1299
Simplify (4 + (sqrt(117)/((sqrt(9) + sqrt(576))*1))**2)*6.
674/27
Simplify (2 + (2*(sqrt(68)*-2 + 3 + sqrt(68)) - 5*(-1*sqrt(68) + 2)))**2.
-24*sqrt(17) + 616
Simplify (sqrt(130) - 2*sqrt(130)*-1)/(sqrt(490)*-6) + -1.
-1 - sqrt(13)/14
Simplify (sqrt(19) + sqrt(57)/(sqrt(3)*1))*6 + -3 - (-1 + (1 + sqrt(684))*2).
-4
Simplify (-2 + (-2*sqrt(4114 | {
"pile_set_name": "DM Mathematics"
} |
a and -54/7?
35
Let i(t) = -t + 13. Calculate the smallest common multiple of i(12) and 10.
10
Calculate the common denominator of -23/8 and 23/45 - -2 - (24 + -22).
360
Let s(j) = 2*j - 25. Calculate the common denominator of 113/6 and s(10).
6
Calculate the common denominator of ((-39)/130)/(288/(-100)) and -31/66.
528
Let c = -7982/9 - -884. Let z = -16993/1332 - -58/333. What is the common denominator of c and z?
36
Suppose 2*d = 6*b - 7*b - 81, 122 = -3*d - 2*b. What is the common denominator of 3*(-59)/(-27)*1 and d?
9
Suppose 30 = u + 2*u. Let o be 5/u*(1 - 1). Suppose 10*f - 14*f + 32 = o. Calculate the smallest common multiple of 10 and f.
40
What is the common denominator of 50/36 - (40 + -38) and 61/54?
54
What is the common denominator of 77/38 and 186/(-465) + (-44)/90?
342
Let a = 37375/90117 + -9/527. What is the common denominator of a and -10/57?
171
Suppose -5*o = 2*u - 31, 43 = 5*u + 5*o - 4*o. Let w be ((-15794)/30)/(u/(-20)). Let z = w + -1309. Calculate the common denominator of z and 3/22.
66
Suppose 201 = 28*m - 247. Suppose 4*f + 10 - 2 = 0, 22 = -2*w - 5*f. Let i = w - -20. Calculate the least common multiple of i and m.
112
Let k(m) = m**2 - 5*m + 6. Let g be k(5). Suppose -g*p + 1540 = -p. Calculate the common denominator of 39/4 and 2 - (1 - p/(-12)).
12
Suppose -i = 3*x - 20, 4*x + 13 = -i + 38. Suppose -5*r + 1195 = i*n, 0 = -4*r - 2*n + 5*n + 977. Calculate the smallest common multiple of r and 2.
242
Suppose -7*s + 184 = -5*s. Let x be s/10*25/185. Let k = -3017/222 - x. Calculate the common denominator of k and 19/12.
12
Calculate the lowest common multiple of 5 and 884/(-6)*((-27)/(-2))/(-9).
1105
What is the common denominator of (-4)/(-18) - 2098/(-360) and 264/143 + -2 + 3122/(-156)?
60
Suppose -3*d = -z + 1 + 1, z - 5*d = 0. Suppose -z*l = -0*l. Suppose -36 = -l*v - 3*v. Calculate the lowest common multiple of 2 and v.
12
Let l = -40/589 - -25891/42997. Calculate the common denominator of l and 20/3.
219
Let q(w) = -49370*w + 4. Let d be q(2). Let z be 4 - ((-436276)/d - -4). Let k = z - -4/2057. Find the common denominator of k and -43/8.
24
Suppose -22*j + 210 = -12*j. Calculate the least common multiple of j and 33.
231
Let k = -21969/14 - -1574. Calculate the common denominator of k and 19/230.
1610
Suppose -4*i - 34 = 3*b - 43, 0 = 2*i + 2*b - 4. What is the lowest common multiple of i and 21?
21
Let h be 2*5/(-2)*-1. Suppose -h*z - 122 = 118. What is the common denominator of -81/50 and (23/5)/(z/(-20))?
300
Let d be (-6)/(-3) + 18766487034/(-1352). Let k = -13880541 - d. Let b = k - -1/338. What is the common denominator of b and -29/4?
4
Suppose -4*o - 21 = -3*v, -v = -3*v + 2*o + 14. What is the smallest common multiple of 41 and v?
287
Suppose -2*m - 8 + 20 = 0. Let w = 1029 - 6143/6. Calculate the common denominator of w and (-424)/(-44)*(m/4 + -1).
66
Let t = -296/665 - 12/95. What is the common denominator of -37/66 and t?
462
Let w(q) = -12*q**2 + 14*q. Let x be w(8). Let k be (-4)/4*x/62. Let t = k - -21/124. Calculate the common denominator of t and -97/2.
4
Let z be ((-6)/2)/12 + (-3)/4. Find the common denominator of -39/20 and (-306)/220 + z/5.
220
Suppose 16*d - 2 = 15*d. Let w = -63 - -69. What is the least common multiple of d and w?
6
Let x = 80 - 52. Calculate the lowest common multiple of x and 42.
84
Suppose 4*y + 8 = 0, -2*y - 8 = -2*g - 4*y. Let x(a) = -a**3 + a - 8. Calculate the smallest common multiple of x(-3) and g.
48
Let k(c) = 3*c + 2. Let g be k(3). Let a = 19 - g. Calculate the smallest common multiple of a and 27.
216
Let j(d) = -d**3 - 2*d**2 - 3*d + 4. Suppose -6*y = -8*y - 6. What is the smallest common multiple of j(y) and 26?
286
Suppose -5*n - 4*g = -98, -9*n + 12*n - 48 = 3*g. Calculate the lowest common multiple of n and 180.
180
Let a = 92279/736 + -2952/23. What is the common denominator of a and 41/44?
352
Find the common denominator of 107/22 and (-265)/6210 - (-18)/(-207).
594
Find the common denominator of (-5)/4 - 16786/(-8712) and -151/36.
396
Let s = -6132 - -3323. Let h = 1659 + s. Find the common denominator of (-3)/15*h/12 and 103/6.
6
Suppose -4*h = -6*h - 3*r - 35, 3*r - 97 = 4*h. Let p be (1/2)/(4/(-8)). What is the common denominator of h and (-2 - p/6) + -2?
6
Let t(r) = -2*r**2 + 3*r - 18. Let x(m) = -5*m**2 + 10*m - 54. Let d(o) = -8*t(o) + 3*x(o). What is the smallest common multiple of d(-9) and 1?
9
Suppose 2*q = q + 2*v + 4, 4*q + v = -20. Let z be (-1)/9*(-4047 + q). Let m = z - 451. Find the common denominator of m and -61/10.
90
Suppose 3*j - 7*j = -48. Calculate the smallest common multiple of 6 and -4 + (-8)/j*-12.
12
Find the common denominator of 65/14 and 4/40 + 6/9.
210
Let f(y) = -y + 8. Let o(l) = l**2 + 5*l + 5. What is the smallest common multiple of o(-5) and f(-3)?
55
Let p = -7498 + 45125/6. Calculate the common denominator of 65/24 and p.
24
Let i = -44 - -62. Let z be (-22)/3 - 1/(-3). Find the common denominator of 4 and (12/i)/(z/(-36)).
7
Suppose 0 = -37*r + 39*r - 8. What is the smallest common multiple of 24 and r?
24
Let p = -50074/5301 + 1/589. Let z = -6012/23 + 104053/414. Let y = p + z. Calculate the common denominator of y and 57/2.
2
Let t(g) = -g + 7. Let f be t(5). Suppose 329 = -f*p - 4*v - 6941, -2*p - 3*v - 7269 = 0. Let m = -61718/17 - p. What is the common denominator of m and -34/9?
153
Let h be 20/5 + 0/(-1) + 24. Suppose 3*z - 2*x = 5*z, -5*z = -2*x - h. What is the lowest common multiple of 29/3 + (-1)/(-3) and z?
20
Let z(k) = -k**2 + 1. Suppose 0 = 5*x, -5*c + 4*x - 3 = 2. Let w be z(c). Suppose w = -3*l + l + 38. What is the least common multiple of l and 7?
133
Let l = 20/699 + -61933/39144. What is the common denominator of l and -37/154?
616
Suppose z + 11021 = -3*a, 3*z + 7 = -8. Let g = -404598/7 - -4167645/77. Let m = g - a. What is the common denominator of m and 79/4?
44
Suppose -3*l - 2*i - 118 = -6*l, -3*l + 5*i + 106 = 0. What is the lowest common multiple of l and 24?
168
Let s = 56881335/328 + -173419. What is the common denominator of -25/12 and s?
984
Calculate the common denominator of 1 + (5 - 4045/715) and 22/91.
1001
Suppose -3*t - 54 = 3*t. Let i = 18 + t. What is the least common multiple of 30 and i?
90
Let l = -4 + 24. Suppose 882 - 816 = 4*q + 2*x, q - 2*x - 4 = 0. Calculate the lowest common multiple of q and l.
140
Suppose 2*y + 0*y - 4 = 0. Suppose -4*k + 2*r - 24 = -90, 4*r - 48 = -y*k. Let x(w) = -2*w**3 - 3*w + 2. What is the lowest common multiple of x(0) and k?
18
Let i(r) = r + 16. Let b be i(-7). Suppose b + 39 = 8*j. What is the least common multiple of 6 and j?
6
Let d be (-1288)/(-40) + (-1)/5. Suppose -35 = -4*p + 2*b - 9, -3*p + d = -4*b. What is the lowest common multiple of 10 and p?
20
Let b = 301 - 277. What is the least common multiple of b and 96?
96
Let v = 2/373 + -16051/2238. What is the common denominator of 91/110 and v?
330
Let i(q) = 23*q - 103. Calculate the smallest common multiple of 12 and i(7).
348
Suppose 2*l - 3*b - 3 = 9, -2*l + 12 = -5*b. Find the common denominator of 71/6 and -3 + 42/(-16) - l/(-3).
24
Let w(n) = -4*n**3 - 9. Let g be w(-3). Suppose -3*r - g = -6*r. What is the smallest common multiple of 24 and r?
264
Let o = 23/238 + -140015/119. Let i = o - -1140. Find the common denominator of i and ((-82)/6)/(8/(-3)).
8
Let w = 133399/33 - 4043. Let g = 100307/49224 + 8/2051. Find the common denominator of w and g.
264
Let k = 9628/1309 + -13/187. Find the common denominator of k and 41/124.
868
Let o = -6242 + 87309/14. Find the common denominator of 59/16 and o.
112
Let d = -33269/22 - -1512. Find the common denominator of d and 23/(2 - (0 - 0)).
22
Suppose 0*f = -2*f + 42. What is the least common multiple of (-6 + 21/(-7))*-1 and f?
63
Suppose -9*u + 256 = 76. Calculate the smallest common multiple of 618 and u.
6180
Let r(h) = h**2 - 18*h + 7. Let i be r(8). Let j be (-2*3)/((-2)/i). Find the common denominator of 1/8 and (-2)/60*j + -2.
40
Let n be (0 - 2) + 80799/(-226688). Let g = -1/1408 + n. Let p = 2623/44 + -444/11. What is the common denominator of p and g?
28
Suppose 82 = -3*r - 2*o, -4*r + o = -2*o + 132. Let c(z) = z**3 - 7*z**2 - 25*z + 7. Let h be c(9). Calculate the common denominator of -99/2 and 42/h | {
"pile_set_name": "DM Mathematics"
} |
w - q*f + 37 = 0. Is 11 a factor of w?
False
Let h(o) = -2*o + 6. Let l be h(7). Let m(u) = -u + 1. Is m(l) a multiple of 9?
True
Suppose 3*w - 5*w + 68 = -4*s, -w - 2*s + 22 = 0. Does 14 divide w?
True
Let l = 30 - 66. Let w = l + 50. Is w a multiple of 7?
True
Let p(w) be the second derivative of 7/6*w**3 + 0 + 1/2*w**2 - w. Is 15 a factor of p(2)?
True
Let l(j) = -25*j + 5. Is 5 a factor of l(-1)?
True
Let q = -109 - -216. Is 30 a factor of q?
False
Suppose 2*q - 5*q = -168. Does 18 divide q?
False
Let v = 552 + -387. Is v a multiple of 26?
False
Let o(d) = d**3 - 7*d**2 - 7*d + 3. Does 11 divide o(8)?
True
Is 7 a factor of (-8 - -16)*(-5)/(-2)?
False
Let d(y) = -17*y. Let u be d(-8). Let j = 204 - u. Is j a multiple of 25?
False
Let k(l) be the third derivative of -l**6/120 - l**5/60 + l**4/3 + l**3/2 + 3*l**2. Is k(-5) a multiple of 21?
True
Suppose 0 = -3*g + 5*r + 327, -3*r - r - 444 = -4*g. Suppose -2*i = 4*h - 4*i - g, 0 = 3*h - 3*i - 84. Suppose 3*k = h - 5. Is k a multiple of 8?
True
Is 10 + -3 + -4 + 143*1 a multiple of 26?
False
Let w = 0 + -1. Let f = 0 + w. Is ((-6)/(-3) + -27)/f a multiple of 12?
False
Let w(v) = 5*v**3 + 6*v**2 - v + 1. Let u(g) = 11*g**3 + 13*g**2 - g + 2. Let b(c) = 4*u(c) - 9*w(c). Is b(-4) a multiple of 11?
True
Suppose -4*c - 439 = -8*c - 3*x, -3*c - 3*x = -327. Is c a multiple of 19?
False
Let y(w) = w**2 - 9*w + 12. Does 12 divide y(9)?
True
Let c(w) = -4*w**2 - 19*w + 2. Let k(j) = 2*j**2 + 9*j - 1. Let z(g) = 6*c(g) + 13*k(g). Is z(-5) a multiple of 13?
False
Let p be (-1)/4 + (-316)/16. Let x be ((-15)/p)/((-2)/8). Is x/(-6)*(31 + 1) a multiple of 8?
True
Let c = 102 + -72. Does 12 divide c?
False
Let n = 33 + -18. Is n a multiple of 3?
True
Let j(x) = 2*x - 7. Let i be j(5). Let a be (-4)/i*(-3)/2. Suppose -a*d - 2*d = -52. Is d a multiple of 4?
False
Is ((-3)/1)/(-3) - -59 a multiple of 15?
True
Suppose 5*u = -0 - 15. Is ((-24)/4)/(u/28) a multiple of 11?
False
Suppose 25 + 60 = f. Is 17 a factor of f?
True
Let a(d) = d + 7. Let f be a(-13). Is (f + -2)*(-10)/4 a multiple of 10?
True
Let l = -108 + -2. Let w = l + 177. Does 25 divide w?
False
Let v(a) = -a + 1. Let y be (-1)/(-4) + (-246)/(-8). Suppose -4*o - y - 13 = 0. Is 6 a factor of v(o)?
True
Suppose -4*l = -9*l - 35. Let f(k) = -k**3 - 7*k**2 - 2*k + 3. Is f(l) a multiple of 5?
False
Let b be (5 - 9)*(1 + -33). Suppose 0 = w + 52 - b. Does 19 divide w?
True
Suppose c = -c + 5*y + 34, -2*c + 74 = 5*y. Let h = c + -23. Is 3 a factor of h?
False
Let m(o) = -1 - 4*o - o - o**2 + 3*o. Let f be m(-1). Suppose f = -6*p + p + 30. Is 2 a factor of p?
True
Let b(s) = s**2 + 10*s + 13. Let n be b(-9). Suppose -5*w + 16 = -n. Is w a multiple of 4?
True
Let s be 10/6 + 2/6. Suppose -3*z + d - 2*d = -2, 3*z - 6 = -3*d. Suppose z*p - p - 3*m = 3, s*p - 4 = -4*m. Is p a multiple of 7?
False
Suppose 3*h = 27 - 9. Let j(u) = -u**3 + 5*u**2 + 9*u - 5. Does 13 divide j(h)?
True
Let s = 1 + -1. Let g be s + -1*(2 - 7). Suppose g = d - 13. Does 9 divide d?
True
Let k(w) = 7*w + 1. Let z be k(-1). Let m be (z/(-1))/2 - 1. Suppose -n + m*v + 25 = 0, -n - n - 3*v + 85 = 0. Does 13 divide n?
False
Is 19 a factor of 3/21 - (-795)/21?
True
Is 6 a factor of (18*1/(-8))/(6/(-80))?
True
Suppose 0 = -x - 0*n - 5*n - 19, 4*x - 3*n = -30. Is 8 a factor of (x/6 - -2)*46?
False
Let k be (10/8)/(2/8). Suppose -k*q = -q - 44. Suppose -z + q = 1. Is z a multiple of 3?
False
Let l = -1 + 1. Suppose l*c + 4*c - 56 = 0. Does 7 divide c?
True
Let c(d) = 46*d - 1. Does 29 divide c(1)?
False
Let o(c) = -2*c + 3. Is 4 a factor of o(-4)?
False
Let t = -33 - -53. Is 12 a factor of t?
False
Suppose 0*d + d - 5 = 0. Suppose 4*f = d*f - 16. Let b = 3 + f. Is b a multiple of 9?
False
Let k = 6 - 3. Suppose 2*o + 11 = k*o. Does 11 divide o?
True
Let c = -5 + 5. Suppose n + 23 = -c*g - g, 4*g = 2*n - 68. Let p = -1 - g. Is 6 a factor of p?
True
Is 8/28 - 477/(-21) a multiple of 11?
False
Let k(j) = -j**2 + 2*j - 3. Let v be k(3). Let f be 82 - 4*3/v. Suppose f = n + n. Does 21 divide n?
True
Suppose 4*a - 11 = 1. Suppose -14 = a*t - 5*t. Is 7 a factor of t?
True
Let m(n) = -n**2 + 12*n + 3. Is m(10) a multiple of 2?
False
Let s be (6 + -3)/(-3)*0. Suppose -h + 2 = -s, -k - h = -13. Does 11 divide k?
True
Let y(x) be the third derivative of x**5/30 + 2*x**3/3 - 3*x**2. Does 13 divide y(-4)?
False
Suppose 2*z - 5*z - 16 = 5*b, -b - 3*z = -4. Is 8 a factor of -15*b/((-50)/(-16))?
True
Is 39 a factor of ((-6)/9)/((-1)/234 - 0)?
True
Let y = 157 - 46. Suppose 2*a = -39 + y. Is a a multiple of 12?
True
Let b be (4/7)/((-5)/(-35)). Suppose b*a + 2*d - 4*d = 170, 145 = 3*a - 5*d. Is a a multiple of 22?
False
Is (9/(-3))/3 - -191 a multiple of 62?
False
Suppose 2*o - 9 = -7*o. Let g be 4/(-5)*1*5. Does 11 divide -22*o/g*2?
True
Suppose 3*f - 122 = -h + 272, -2*h = f - 133. Does 15 divide f?
False
Suppose 2*d - 2*v - 182 = 0, 4*d - 464 = -d - 4*v. Does 23 divide d?
True
Let n(x) = 6*x**2 - 4*x + 3. Let q = 2 - 2. Suppose 3*i + 0*i - 6 = q. Does 8 divide n(i)?
False
Suppose 11*k = 7*k + 232. Does 10 divide k?
False
Suppose 5*s = 3*s + 180. Is s a multiple of 30?
True
Suppose 7*v = 4*v + 228. Is 15 a factor of v?
False
Suppose -56 = 5*r + m + 79, -5*m - 59 = 3*r. Let o = -12 - r. Is 16 a factor of o?
True
Let w = -9 + 13. Let r be (-505)/(-15) + w/(-6). Is 9 a factor of -1*2*r/(-6)?
False
Let w = 21 - 30. Let g(v) be the third derivative of v**6/120 + v**5/6 + v**4/6 - 2*v**3 + 14*v**2. Is g(w) a multiple of 11?
True
Let s(n) = 2*n**2 - 2*n - 1. Let y be s(2). Suppose -y*d = -57 - 9. Is d a multiple of 11?
True
Suppose 7*y - 2*y = -2*o + 285, -4*o = -20. Is y a multiple of 5?
True
Let s(y) = y**3 + 7*y**2 + 6*y + 3. Let g be s(-6). Suppose -3*k = -g*f - 21, -f = -2*f + 3. Is 5 a factor of k?
True
Suppose 0*i - 8 = i + 4*u, -2*i = u + 16. Is (-406)/i + 1/4 a multiple of 13?
False
Let x(j) = 8*j - 2. Let i be x(2). Suppose i + 46 = 5*q. Is q a multiple of 6?
True
Let s(j) = -5*j + 0*j - 4 + 4. Let n be s(-1). Suppose 175 = n*z - 5*p, 0 = 2*p - 0 - 4. Is z a multiple of 12?
False
Let a(k) = 6*k + 4. Let j(o) = -o**2 - 9*o + 3. Let u be j(-9). Does 22 divide a(u)?
True
Let f be (-4)/6 + (-212)/(-12). Does 8 divide (-4)/(-2) + -2 + f?
False
Suppose -2*r - 4*y + 110 = 0, 2*r + 3*y + 2*y - 109 = 0. Is 13 a factor of r?
False
Does 37 divide (888/(-36))/(2/(-6))?
True
Let h(b) = 3*b**2 + 2*b + 1. Let x(k) = -k**3 + 7*k**2 - 8*k + 9. Let a be x(6). Is h(a) a multiple of 5?
False
Suppose 2*k - 10 = -3*k. Is ((-9)/(-2))/(1/k) a multiple of 9?
True
Let u be 0 - 4*2/4. Does 14 divide (-3)/u*56/3?
True
Suppose w - 12 = 5*w. Let f be -47 - (w/(-1))/3. Is (1/(-2))/(4/f) a multiple of 3?
True
Let t(z) be the second derivative of z**5/120 - 5*z**4/24 + z**3/3 - z. Let j(b) be the second derivative of t(b). Is 3 a factor of j(8)?
True
Let x(y) = 6 - 2*y - 2*y + 2*y + y. Is 7 a factor of x(-7)?
False
Suppose 0 = 2*m - c - 14, -5*m + 2*c + 38 = 1. Suppose 7*r + 20 = 2*r + 3*u, -4*u + 17 = 3*r. Is (m/(-15))/(r/5) a multiple of 3?
True
Suppose 3*d + 4*t + 9 - 135 = 0, -3*t = 0. Is d a multiple of 3?
True
Suppose 3*y = -151 + 448. Is 20 a factor of y?
False
Let f = -27 + 241. Is 12 a factor of f?
False
Let u(x) = 90*x - 2. Does 14 divide u(1)?
False
Let z(k) = 27*k - 36. Does 39 divide z(10)?
True
Let x = 16 - -6. Let r be 1 + -1 + x/(-2). Let i = r + 35. Is i a multiple of 8?
True
Let p = -10 + 28. Let m = p - 12. Is 4 a factor of m?
False
Let q(o) = -o**2 - 5*o + 2. Let g be q(-5). Suppose -g*k + 12 = k. Does 4 divide k?
True
Suppose 2*u + 5 = c - 0*u, 0 = -3*c + u + 40. Is 5 a factor of c?
True
Suppose p + 1 - 11 = 0. Let v = -1 + 6. Let o = v + p. Is 10 a factor of o?
False
Suppose 5*j = 2*y + 61, 2*y = -2*j + 8 + 22. Is j a multiple of 5?
False
Let s = -2 + 5. Let t be s*(4/(-6) - -2). Suppose t*f - 3*z - 136 = 2*z, -100 = -4*f - 4*z. Is 18 a factor of f?
False
Let o be 2/(-3) + (-325)/(-15). Is (-346)/(-14) - (-6)/o a multiple of 8?
False
Let v be 6/4*(-920)/30. Let d = v + 88. Does 14 divide d?
True
Suppose -40 = -14*b + 10*b. Is 5 a factor of b?
True
Let g(r) = 23*r**3 + 2*r**2 - 2. Let u be g(2). Suppose u + 140 = 3*m. Suppose -m = d - 6*d. Does 11 divide d?
True
Let o(i) = -i**3 + 13*i**2 + i + 31. Is o(13) a multip | {
"pile_set_name": "DM Mathematics"
} |
**2 - 629290*w - 1
Let z(k) = 2*k**2. Let y(j) be the second derivative of -6 - 1/2*j**2 + 8/3*j**3 - 15*j. Calculate y(z(m)).
32*m**2 - 1
Let j(n) = 12*n - 3. Let o(m) be the second derivative of -m - 2/3*m**3 + 0*m**2 + 132. Determine o(j(g)).
-48*g + 12
Let u(s) be the second derivative of 9*s**3/2 - 3*s**2/2 - 85314*s. Let w(r) = 6*r - 4*r + 0*r. Give u(w(a)).
54*a - 3
Let d(t) = 130*t**2 + 21 + 0*t + 207*t**2 - 21 + 2*t. Let n(s) = -2*s. What is d(n(g))?
1348*g**2 - 4*g
Suppose 0 = -15*x + 44*x - 34829. Let r(j) = -x*j + 2405*j - 1239*j. Let s(i) = 3*i. What is r(s(o))?
-105*o
Let p(u) = u**2. Let k(a) be the first derivative of -2024*a**3/3 + 1717. Determine k(p(s)).
-2024*s**4
Let n(k) = -2*k**2. Let u(z) = 18488591*z**2. Give u(n(p)).
73954364*p**4
Let w(y) be the second derivative of y**4/12 + 7*y + 1. Let c be (1 - (0 - 0))*2. Let t(f) = -2*f**2 - 3*f**2 + 4*f**c. Calculate t(w(i)).
-i**4
Let h(p) = -8*p**2. Let f(a) be the second derivative of 0 - 11/6*a**3 - 9*a + 0*a**2. Calculate f(h(g)).
88*g**2
Let f(l) = 2*l**2. Let m(d) = 1384*d**2 + 49610*d. What is m(f(w))?
5536*w**4 + 99220*w**2
Let y(l) = -71884*l. Let r(d) = 80*d. Give r(y(v)).
-5750720*v
Let t(u) = -u**2 + 9*u. Let l(s) = 5*s + 4011. Calculate t(l(y)).
-25*y**2 - 40065*y - 16052022
Let a(v) = -75*v. Let c(k) be the third derivative of k**8/10080 - 2*k**5/3 - 2*k**3/3 - 154*k**2. Let g(p) be the third derivative of c(p). Calculate g(a(x)).
11250*x**2
Let x(v) = -2*v. Let s(a) = -2*a - 19. Let h be s(-21). Let i(w) = -43*w + h*w - 29*w. Give x(i(j)).
98*j
Let v(y) = -11*y**2 + 2. Let g(k) = 39*k**2 - 9. Let r(j) = -2*g(j) - 9*v(j). Let s(x) = -27*x + 3. What is s(r(h))?
-567*h**2 + 3
Let r(n) = 12451*n - 15000*n - 8199*n. Let f(o) = -2*o. Give r(f(v)).
21496*v
Let w(a) = 8*a**2. Let i(g) be the first derivative of -22*g**3 - 23*g**3 + 41 + 43*g**3. Calculate i(w(z)).
-384*z**4
Let w(c) = 2*c**2. Let x(u) be the first derivative of -5/3*u**3 - 235 + 0*u + 0*u**2. Calculate x(w(p)).
-20*p**4
Let c(q) = -20*q - 1339. Let v(f) = 9*f + 618. Let s(o) = -6*c(o) - 13*v(o). Let b(m) = 0*m - 27 + m - 3*m. What is s(b(y))?
-6*y - 81
Let r(l) = -6492*l**2. Let u(s) be the second derivative of -s**4/12 - 4741*s. Determine r(u(o)).
-6492*o**4
Let m(p) = 3*p**2 + 14*p. Suppose 1366 = 10*r + 466. Let s(k) = -r - 3*k + 186 - 96. Give s(m(n)).
-9*n**2 - 42*n
Let y = 37 - 20. Let p(w) = 12*w + 4*w - y*w. Let d(o) be the third derivative of -o**5/30 + o**4/8 - 2*o**2. What is p(d(t))?
2*t**2 - 3*t
Let f(v) = -5*v**2. Let h(r) = -r**2 + 4*r. Let z(a) = 7*a**2 - 20*a. Let u(o) = -5*h(o) - z(o). Give u(f(k)).
-50*k**4
Let b be 1/((-2)/5) + 2/(-4). Let q be (2 - -1)*b*5/(-45). Let c(h) = 2 - 7*h + q - 3. Let k(w) = 2*w**2. What is k(c(n))?
98*n**2
Let g(o) be the second derivative of 187*o**4/8 - 4*o**2 - 3*o. Let h(i) be the first derivative of g(i). Let p(y) = 2*y**2. Give p(h(m)).
629442*m**2
Let m(x) be the third derivative of 0*x**3 + 1/20*x**5 + 1/24*x**4 + 0 - 4*x**2 - 3*x. Let y(a) = -2*a. Determine y(m(o)).
-6*o**2 - 2*o
Let p(v) = -2*v - 240236. Let g(r) = 3*r**2 + 7. What is p(g(w))?
-6*w**2 - 240250
Let u(w) = 2 - 379*w - 2 + 189*w + 192*w. Let b(z) be the third derivative of 0*z**3 + 0 + 0*z**4 + 0*z + 1/30*z**5 + 2*z**2. Calculate u(b(j)).
4*j**2
Let k(x) = -197*x - 1. Let w(q) be the first derivative of -3*q**2 + 69. What is k(w(b))?
1182*b - 1
Let t(g) = -g**2 - g**2 - 7*g**2. Let u be (-72)/18 - -6*1. Let c(r) = -87 + 87 + 2*r + u*r. Calculate c(t(v)).
-36*v**2
Let s(o) = 3*o - 3*o + 2*o. Let c(r) be the second derivative of -2*r**2 - 42 + 3/2*r**3 - r. Give s(c(m)).
18*m - 8
Let d(z) = -1. Let f(x) = x + 1. Let l(h) = d(h) - 3*f(h). Let g(c) be the second derivative of 0*c**2 - 1 + 43*c - 1/3*c**3. Calculate g(l(j)).
6*j + 8
Let k(p) be the third derivative of 11*p**8/20160 - 32*p**5/15 - 2*p**2 - 10*p. Let t(m) be the third derivative of k(m). Let u(d) = 3*d. Determine u(t(r)).
33*r**2
Let g(r) = r. Let t be 12/3 - (-2 - 13 - -9). Let z(a) be the third derivative of 0 + 0*a**4 + 1/20*a**5 + 0*a + 0*a**3 - t*a**2. Calculate z(g(i)).
3*i**2
Let b(h) = -4*h**2. Let c(m) = -577*m + 1797*m - 613*m - 869*m. Determine b(c(z)).
-274576*z**2
Let r(f) = 180*f - 95. Let s(v) = -27*v - 3. What is r(s(y))?
-4860*y - 635
Suppose -4*o - 3*i + 72 = 0, o + 0*o - 5*i = -5. Let q(d) = 7 - 8*d**2 - 7 + o*d**2. Let c(l) be the third derivative of -l**5/30 - 17*l**2. Give q(c(v)).
28*v**4
Let v(p) = 9*p**2. Let b(h) = -11*h + 30. Let m(o) = -17*o + 32. Let c(k) = -3*b(k) + 2*m(k). Determine c(v(y)).
-9*y**2 - 26
Let y(t) = -8*t**2 + 3*t + 42. Let p(v) = 7*v**2 - 2*v - 28. Let m(h) = 6*p(h) + 4*y(h). Let w(c) = 58*c**2. Determine m(w(x)).
33640*x**4
Let v(f) = 0 + 0 + 69*f + 40*f. Let i(w) = -51*w**2 - 28*w**2 - 25*w**2 + 102*w**2. What is i(v(k))?
-23762*k**2
Let b(z) = -145*z. Let s(t) be the third derivative of 0*t**3 - 1/24*t**4 + 0 - 103*t**2 + 0*t. Calculate s(b(d)).
145*d
Let i(r) = -13*r. Let h(z) = -37*z**2 - 9763*z + 7. Give i(h(y)).
481*y**2 + 126919*y - 91
Let a(f) = -19*f. Let s(v) = 43868840*v**2. Calculate s(a(n)).
15836651240*n**2
Let k(n) = -7775*n. Let s(a) = -3*a + 10. Give k(s(u)).
23325*u - 77750
Let m(h) = 121480110*h**2. Let u(b) = 2*b. Determine u(m(k)).
242960220*k**2
Let w(d) = -943*d**2. Let u(a) be the second derivative of 2*a**3 + 5543*a. What is u(w(r))?
-11316*r**2
Let r(i) = 33971*i. Let o(n) = 994*n**2. Give r(o(b)).
33767174*b**2
Let b(x) be the first derivative of -10*x**3/3 + 2525. Let m(v) = v**2 - v. Give m(b(p)).
100*p**4 + 10*p**2
Let f(j) = 22*j**2 - j - 6*j**2 + j. Let y(s) = s - 2. Let g(x) = -1. Suppose 36*k - 5 = 31*k. Let u(a) = k*y(a) - 2*g(a). Give u(f(c)).
16*c**2
Let a(c) = -2*c. Let d(s) = 842285960*s. What is a(d(i))?
-1684571920*i
Let p(n) = 79225*n. Let d(z) = 136*z**2. Give p(d(v)).
10774600*v**2
Let y(f) = -9*f**2 + 8*f. Let j(t) = -t**2 + t. Let c(h) = -40*j(h) + 5*y(h). Let v(s) = -1068*s + 271*s + 264*s + 266*s + 263*s. Give v(c(k)).
20*k**2
Let a(k) = 143767*k + 20. Let x(i) = 2*i**2. Calculate a(x(j)).
287534*j**2 + 20
Let l(w) = w**2 - 514*w. Let o(r) = r**2 - 1950420*r + 1950420*r. Determine o(l(y)).
y**4 - 1028*y**3 + 264196*y**2
Let x(h) = -3*h**2 + 3 - 4 + 0 + 3. Let k(w) = -2434*w - 2421*w - 1 + 4856*w + 1. Calculate x(k(u)).
-3*u**2 + 2
Let m(d) = 5*d - 71 + 150 - 72 + 0*d. Let v(l) = -l. Calculate v(m(a)).
-5*a - 7
Let p(s) = -9*s. Let b(u) = 1831363*u. What is b(p(i))?
-16482267*i
Let q(i) = -835*i**2. Let r(m) = -42*m - 4. Let b(z) = 74*z + 7. Let t(s) = -4*b(s) - 7*r(s). What is t(q(c))?
1670*c**2
Let t(i) be the first derivative of 0*i**2 - 134 - 2/3*i**3 + 0*i. Let y(w) = 2*w**2 - 27*w. Calculate y(t(f)).
8*f**4 + 54*f**2
Let i(l) = 7*l + 1 - 3 + 2. Let z(p) = 4*p + 3. Let n(o) = 11*o + 8. Suppose 5*f + 37 = 4*w - 20, -4*w + 17 = 3*f. Let q(c) = w*z(c) - 3*n(c). What is i(q(y))?
-7*y
Let j(t) = 7*t**2. Let d be 448/6272 + (-1)/14. Let i(a) be the first derivative of 19 - 5/2*a**2 + d*a. Determine i(j(q)).
-35*q**2
Let t(h) = 31*h. Let b(u) = -22216*u. Calculate t(b(l)).
-688696*l
Let l(o) = -4*o**2. Let w(x) be the first derivative of -240*x**2 - 2*x - 4878. Calculate l(w(a)).
-921600*a**2 - 7680*a - 16
Let t(c) be the first derivative of c**2 - 31*c - 129133. Let f(a) be the second derivative of a**3/6 - a. What is f(t(k))?
2*k - 31
Let g(p) = 33 - 4*p + 2*p + p. Let o(v) = -10785 + 43129 - 10776 - 10786 + v - 10782. Calculate g(o(d)).
-d + 33
Let f(k) = -27*k. Let t(i) be the second derivative of -43*i**4/12 + i**3/6 + 7757*i. Determine f(t(m)).
1161*m**2 - 27*m
Let f be 36/(-84) - (-1)/((-7)/(-3)). Let x(u) = -u + 12 + f - 12. Let n(m) = -4 + 8*m - 1 + 2 + 15*m. Give x(n(g)).
-23*g + 3
Let j(m) = -2*m. Let o(q) be the first derivative of -q**4/3 + 3*q**3/2 - 41*q**2 - 21. Let t(n) be the second derivative of o(n). Calculate t(j(d)).
16*d + 9
Let u(y) = 778*y**2 - 5*y - 10. Let v(k) = 310*k**2 - 2*k - 4. Let b(o) = -2*u(o) + 5*v(o). Let h(x) = 2*x - 2*x + 6*x. What is b(h(p))?
-216*p**2
Let p(a) = -a**2 + 16. Let t(n) = -6*n - 4. Let u(d) = -10*d - 7. Suppose 4*q = -2*i - 9 + 27, -3*q - 32 = -5*i. Let j(r) = i*t(r) - 4*u(r). Calculate j(p(k)).
2*k**2 - 32
Let t(g) = -46*g**2 + 6*g**2 + 5*g**2 + 7*g - 5*g. Let k(x) = -4* | {
"pile_set_name": "DM Mathematics"
} |
9
What is the v'th term of -292119861, -292119860, -292119859, -292119858, -292119857?
v - 292119862
What is the g'th term of -307518, -307504, -307490, -307482, -307486, -307508?
-g**3 + 6*g**2 + 3*g - 307526
What is the s'th term of 75383, 75294, 75223, 75176, 75159, 75178?
s**3 + 3*s**2 - 105*s + 75484
What is the g'th term of -7201035, -14402068, -21603101, -28804134, -36005167?
-7201033*g - 2
What is the y'th term of -29976107, -29976112, -29976117, -29976122, -29976127?
-5*y - 29976102
What is the n'th term of 101371, 103947, 106523?
2576*n + 98795
What is the x'th term of -3572272, -3572281, -3572290, -3572299?
-9*x - 3572263
What is the s'th term of 88917, 176417, 263917?
87500*s + 1417
What is the o'th term of -344266, -1376981, -3098146, -5507761, -8605826, -12392341, -16867306?
-344225*o**2 - 40*o - 1
What is the i'th term of -7136772, -14273559, -21410346, -28547133, -35683920?
-7136787*i + 15
What is the b'th term of -2000, -2432, -3152, -4160, -5456?
-144*b**2 - 1856
What is the y'th term of -33704, -31693, -29684, -27677, -25672, -23669, -21668?
-y**2 + 2014*y - 35717
What is the p'th term of 921415036, 921415032, 921415026, 921415018?
-p**2 - p + 921415038
What is the b'th term of 3441, 3511, 3585, 3663?
2*b**2 + 64*b + 3375
What is the z'th term of -4190, -3293, -1798, 295, 2986?
299*z**2 - 4489
What is the j'th term of 129, 804, 2631, 6186, 12045?
96*j**3 + 3*j + 30
What is the d'th term of -11666494, -23332988, -34999482, -46665976, -58332470?
-11666494*d
What is the f'th term of -5553761, -5553776, -5553801, -5553836?
-5*f**2 - 5553756
What is the k'th term of 396521, 793075, 1189629, 1586183, 1982737, 2379291?
396554*k - 33
What is the j'th term of -1748231, -3496435, -5244651, -6992885, -8741143, -10489431, -12237755, -13986121?
-j**3 - 1748197*j - 33
What is the r'th term of -1674191, -1674190, -1674189, -1674188?
r - 1674192
What is the g'th term of -50426, -201514, -453326, -805862?
-50362*g**2 - 2*g - 62
What is the l'th term of -68528, -274087, -616674, -1096289, -1712932, -2466603?
-68514*l**2 - 17*l + 3
What is the m'th term of -613181, -1226348, -1839517, -2452688, -3065861, -3679036, -4292213?
-m**2 - 613164*m - 16
What is the j'th term of 37467, 39902, 42337, 44772, 47207, 49642?
2435*j + 35032
What is the z'th term of -942, -973, -1024, -1095, -1186?
-10*z**2 - z - 931
What is the b'th term of 2444, 10171, 23048, 41075?
2575*b**2 + 2*b - 133
What is the q'th term of -72827240, -72827238, -72827236, -72827234?
2*q - 72827242
What is the r'th term of -12628, -33785, -54942?
-21157*r + 8529
What is the n'th term of 42972, 42888, 42754, 42570, 42336?
-25*n**2 - 9*n + 43006
What is the n'th term of 4441614, 4441619, 4441624?
5*n + 4441609
What is the o'th term of -54069, -108132, -162187, -216234?
4*o**2 - 54075*o + 2
What is the c'th term of -516, 2718, 8110, 15666, 25392, 37294, 51378?
c**3 + 1073*c**2 + 8*c - 1598
What is the o'th term of 31624, 114879, 253644, 447925, 697728?
o**3 + 27749*o**2 + o + 3873
What is the a'th term of 1059, -29685, -60415, -91125, -121809?
a**3 + a**2 - 30754*a + 31811
What is the w'th term of 4395537, 4395545, 4395553?
8*w + 4395529
What is the i'th term of 67968, 135888, 203808, 271728, 339648, 407568?
67920*i + 48
What is the a'th term of 54812092, 109624184, 164436276, 219248368, 274060460?
54812092*a
What is the f'th term of 1261947, 2523898, 3785855, 5047824, 6309811, 7571822, 8833863?
f**3 - 3*f**2 + 1261953*f - 4
What is the d'th term of -99009, -198089, -297169, -396249, -495329?
-99080*d + 71
What is the r'th term of 276452617, 276452619, 276452621, 276452623?
2*r + 276452615
What is the o'th term of -605, -5050, -17357, -41534, -81589, -141530, -225365?
-668*o**3 + 77*o**2 - 14
What is the y'th term of -3006304, -6012539, -9018774, -12025009, -15031244?
-3006235*y - 69
What is the u'th term of -370, -269, 724, 3029, 7066?
70*u**3 + 26*u**2 - 467*u + 1
What is the h'th term of -58209, -56263, -54327, -52407, -50509, -48639, -46803, -45007?
-h**3 + h**2 + 1950*h - 60159
What is the n'th term of 7450, 61753, 209754, 498301, 974242?
7808*n**3 + n**2 - 356*n - 3
What is the w'th term of -297228, -1189018, -2675318, -4756122, -7431424, -10701218, -14565498?
w**3 - 297261*w**2 - 14*w + 46
What is the s'th term of -138834, -138885, -138938, -138993, -139050, -139109, -139170?
-s**2 - 48*s - 138785
What is the j'th term of -1434980, -2869944, -4304908, -5739872, -7174836?
-1434964*j - 16
What is the f'th term of -418647929, -837295857, -1255943785, -1674591713?
-418647928*f - 1
What is the s'th term of 60789, 243112, 546983, 972402?
60774*s**2 + s + 14
What is the o'th term of 294, 153, -56, -333, -678, -1091, -1572?
-34*o**2 - 39*o + 367
What is the g'th term of -2326, -4976, -7652, -10354, -13082, -15836?
-13*g**2 - 2611*g + 298
What is the z'th term of 660, 4592, 14688, 33846, 64964, 110940?
483*z**3 + 184*z**2 - z - 6
What is the p'th term of 132, -392, -1624, -3858, -7388, -12508, -19512?
-49*p**3 - 60*p**2 - p + 242
What is the m'th term of -71919, -143838, -215737, -287604, -359427?
2*m**3 - 2*m**2 - 71927*m + 8
What is the t'th term of -41765, -165433, -371007, -658487, -1027873, -1479165, -2012363?
-40953*t**2 - 809*t - 3
What is the j'th term of -1855, 883, 5451, 11849, 20077?
915*j**2 - 7*j - 2763
What is the d'th term of 22, -523, -1068, -1613, -2158, -2703?
-545*d + 567
What is the p'th term of -26134, -47180, -68228, -89278, -110330, -131384, -152440?
-p**2 - 21043*p - 5090
What is the j'th term of -1735172, -3469524, -5203888, -6938270, -8672676, -10407112?
-j**3 - 1734345*j - 826
What is the u'th term of -68808975, -68808977, -68808979, -68808981, -68808983, -68808985?
-2*u - 68808973
What is the g'th term of 1788, 3963, 6510, 9429?
186*g**2 + 1617*g - 15
What is the h'th term of 1132, 3307, 5476, 7639?
-3*h**2 + 2184*h - 1049
What is the q'th term of 68021, 67189, 66357, 65525?
-832*q + 68853
What is the t'th term of 11120909, 11120908, 11120907, 11120906, 11120905, 11120904?
-t + 11120910
What is the g'th term of -71169, -284875, -641115, -1139889, -1781197, -2565039?
-71267*g**2 + 95*g + 3
What is the q'th term of -219972913, -439945827, -659918741, -879891655?
-219972914*q + 1
What is the w'th term of 40413, 40364, 40315, 40266?
-49*w + 40462
What is the x'th term of 280681, 1122763, 2526225, 4491061, 7017265, 10104831, 13753753?
-x**3 + 280696*x**2 + x - 15
What is the t'th term of -11785, -18577, -25369, -32161, -38953, -45745?
-6792*t - 4993
What is the f'th term of 128909, 515703, 1160385, 2062955, 3223413, 4641759, 6317993?
128944*f**2 - 38*f + 3
What is the l'th term of 4494, 9024, 13544, 18042, 22506, 26924, 31284?
-2*l**3 + 7*l**2 + 4523*l - 34
What is the c'th term of -483692667, -483692668, -483692669, -483692670, -483692671, -483692672?
-c - 483692666
What is the i'th term of 226, -278, -1128, -2330, -3890, -5814, -8108?
-i**3 - 167*i**2 + 4*i + 390
What is the g'th term of -179, 114, 873, 2332, 4725, 8286, 13249?
39*g**3 - g**2 + 23*g - 240
What is the z'th term of 10225, 10178, 10063, 9850, 9509, 9010, 8323, 7418?
-5*z**3 - 4*z**2 + 10234
What is the p'th term of 69257254, 138514509, 207771764, 277029019, 346286274, 415543529?
69257255*p - 1
What is the y'th term of 47407, 47522, 47827, 48418, 49391, 50842, 52867, 55562?
16*y**3 - y**2 + 6*y + 47386
What is the g'th term of 8948, 35445, 79610, 141443, 220944, 318113?
8834*g**2 - 5*g + 119
What is the d'th term of 5164, 7207, 9288, 11425, 13636, 15939?
3*d**3 + d**2 + 2019*d + 3141
What is the w'th term of -237, -1223, -2773, -4863, -7469, -10567?
4*w**3 - 306*w**2 - 96*w + 161
What is the y'th term of 488, 3199, 10254, 23825, 46084?
362*y**3 + 177*y - 51
What is the f'th term of -14325, -15536, -16747, -17958?
-1211*f - 13114
What is the i'th term of -25652, -52062, -78472, -104882?
-26410*i + 758
What is the p'th term of -264111, -1055574, -2374679, -4221426, -6595815?
-263821*p**2 - 290
What is the t'th term of -149150766, -298301532, -447452298, -596603064, -745753830, -894904596?
-149150766*t
What is the d'th term of 19829951, 39659895, 59489839?
19829944*d + 7
What is the k'th term of 367, 631, 775, 787, 655, 367, -89, -725?
-2*k**3 - 48*k**2 + 422*k - 5
What is the n'th term of -161495, -1 | {
"pile_set_name": "DM Mathematics"
} |
a*a*a/a**23*(a**(-7/5)*a*a)**(-40) assuming a is positive.
a**(-721/16)
Simplify (g*g**(-6)/g*g)**0/(g**(-13)/((((g**(1/8)*g)/g)/g)/g)) assuming g is positive.
g**(89/8)
Simplify (r*(r**33*r*r*r)/r*(((r/(r/r**(-3/8)))/r)/r)/r)/(((r/r**(-9/5))/r)/(r/(r*r*r**(-6/11)))) assuming r is positive.
r**(13363/440)
Simplify ((((s*s*s**2)/s)/s**(5/4))/((s/(s/((s*s/(s/(s**(-4)/s)))/s*s)*s))/s**7))**33 assuming s is positive.
s**(1815/4)
Simplify (c**(1/9)/c*(c**(-13)/c)/c)**(-2/13) assuming c is positive.
c**(22/9)
Simplify ((f/(f/(f*f/(f**0*f))))**(-50)/(f/f**0*f*f**(2/15)*f))**(4/9) assuming f is positive.
f**(-3188/135)
Simplify (((h*h**(3/5))/h**1)**48)**(-48) assuming h is positive.
h**(-6912/5)
Simplify (t**(-2/5)*t*(t**(-2/11)*t)/t*t)**23 assuming t is positive.
t**(1794/55)
Simplify o**14*o**(4/11)*(o/(o/o**(-2/17)))**(4/11) assuming o is positive.
o**(2678/187)
Simplify (j*j/j**(2/23))/((j**12*j)/j)*j*j**17*j*j*j**(2/3)/j assuming j is positive.
j**(661/69)
Simplify k**(-2)*k**2*(k**(-1)/k)**(-17) assuming k is positive.
k**34
Simplify (r/(r/(r*r**(8/7)*r)*r))**(-7/12)/(r**(3/13))**11 assuming r is positive.
r**(-197/52)
Simplify (n**(11/5)/n**(-9))/(n/n**(-3)*n*(n/(((n**(-4)*n)/n*n)/n))/n) assuming n is positive.
n**(11/5)
Simplify (r*r*r**(-2/5)*r/(r/r**(2/5))*((r*r/((r*r*r*r**(4/3)/r*r)/r))/r)/r**1)**(-36) assuming r is positive.
r**48
Simplify (b**9)**45/(b**(7/5))**(2/117) assuming b is positive.
b**(236911/585)
Simplify (y**(-13)/(y**(-2/9)*y))/(y/(y*y*y/((y*y*y**(-1/3)/y)/y)))**(-44) assuming y is positive.
y**(-1048/9)
Simplify (((v/(v*v*v*v**(-1/6)/v*v*v*v))/v*v/(v/(v/v**(-3))))**27)**(5/3) assuming v is positive.
v**(-75/2)
Simplify ((g**(-1/23)*g)/(g**17*g*g))**(-6/7) assuming g is positive.
g**(2490/161)
Simplify (v/(v*v**6*v))/(v**(-1/3)*v)*((v/(v/(v**2/v))*v*v)/v)**47 assuming v is positive.
v**(259/3)
Simplify (z/((((z/((z**(1/13)*z)/z)*z)/z)/z)/z*z)*z/((z*z**(-7)*z*z*z*z)/z)*z)/((z/z**(-8))/((z**(6/13)/z)/z)) assuming z is positive.
z**(-58/13)
Simplify (r**2)**(1/20)/(r/(r**(-2/5)/r*r*r*r))**(3/29) assuming r is positive.
r**(47/290)
Simplify ((a**(-4/7)*(a/a**(-3))/a)**36)**(2/65) assuming a is positive.
a**(1224/455)
Simplify ((x/(x*x**(-11/4)*x))/x*x**(-31))/(x**(-21)/x)**(-12/11) assuming x is positive.
x**(-217/4)
Simplify ((l**(1/2))**(-15)*(((l/(l**(-2/3)*l))/l)/l)/(l**(5/2)*l*l))**50 assuming l is positive.
l**(-2000/3)
Simplify (g/((g**(-2/5)*g)/g*g))**30*(g*g**(2/7)/g*g*g)**(-21/4) assuming g is positive.
1
Simplify h**(1/6)*h*h**22*h*(h**11/h*h)/(h/(h*h/(h**(3/11)*h))) assuming h is positive.
h**(2303/66)
Simplify (y**(-1)*y*y**(-14))/(y**(2/7))**22 assuming y is positive.
y**(-142/7)
Simplify h**(2/5)*h**(2/9)/h*((h**(-4)/h)/h)/h**13 assuming h is positive.
h**(-872/45)
Simplify (x**(-2/7))**31*(x*x*x/x**5)**(-3) assuming x is positive.
x**(-20/7)
Simplify (u/(u**(-2/15)/u))/u**(-11)*u**(4/11)/u**11 assuming u is positive.
u**(412/165)
Simplify ((t**(-4)/(t*t**(-3)))**20)**(-14) assuming t is positive.
t**560
Simplify (r**8*r**(-3/19))**(-2/51) assuming r is positive.
r**(-298/969)
Simplify (b/(b/((((b*b**(-1/4)/b*b*b*b)/b*b)/b)/b)))**(4/9)*b**(-7)/(b*b*(b/(b*b*((b*b**(-1/10))/b)/b*b*b))/b*b) assuming b is positive.
b**(-203/30)
Simplify (((m**(-8)*m)/(m*m/(m*m**2)*m*m))**(-13))**(-9) assuming m is positive.
m**(-936)
Simplify h/(h*h**(3/2))*h**(-11)*h**9/h**(2/11) assuming h is positive.
h**(-81/22)
Simplify (d**(-1/9)*d*d*d*(d**6/d)/d*d*d*d)/(d**(-18/7)/d**7) assuming d is positive.
d**(1226/63)
Simplify q**(5/4)/q**(1/35)*q**31/((q/(q**(-23)*q*q*q))/q*q) assuming q is positive.
q**(1571/140)
Simplify (o**(-9)*o/(o/(o*(o**(-1/3)/o)/o*o))*o)/(o**(-5/6)*(o*o/(o*o**(1/8)))/o) assuming o is positive.
o**(-59/8)
Simplify (j**(3/2)/(j/j**(-2/5)))/(j**(-4/7)/j*j*j*j**(-2/7)/j*j) assuming j is positive.
j**(-3/70)
Simplify (n/(n*n/(n/(n/n**(-1)))))**(-4)*(n*(n*n**(8/7)*n)/n)/n*(n*n**(-12)*n*n)/n*n assuming n is positive.
n**(8/7)
Simplify z**(-4/3)*z*z**(-6/5)*(z**(1/3))**(-5/4) assuming z is positive.
z**(-39/20)
Simplify ((k/(k/(k*k/((k**(1/13)/k)/k))))/((k*k**(-1/2))/k))**(-1/30) assuming k is positive.
k**(-23/156)
Simplify (((t/(t/t**(2/13)))/t**(-4))/(((t/(t**6/t*t)*t)/t)/((t*t/(t/(t*t**(2/5)*t)))/t)))**(-25/6) assuming t is positive.
t**(-3755/78)
Simplify ((l**(-1/5)*l*l)/(l*l/l**(-2/115)))**(-33) assuming l is positive.
l**(165/23)
Simplify (((b**(-14)*b)/b)**(-2/15))**(-2/51) assuming b is positive.
b**(-56/765)
Simplify (m**(-11)*m/(m**(-10)*m))/(m**6*m*m*m/(m*m/(m/(m*m**(-10)))*m)*m) assuming m is positive.
m**(-18)
Simplify (c**9*(c/(c/c**(-2/5))*c)/c)/(((c/(c/(c/((c/(c/(c*c*c/c**(-17)*c)))/c)))*c)/c)/c*c*c**21/c) assuming c is positive.
c**(38/5)
Simplify v**(-8)/(v/(v*v/(((v/v**5)/v)/v*v)))*((v/(v**(-3/2)*v)*v)/v*v)/(v/(v/(((v/v**(-7))/v)/v*v))) assuming v is positive.
v**(-13/2)
Simplify ((k**(-5)*k**(-4/3))/(k**(-2/7))**(-25))**(2/39) assuming k is positive.
k**(-566/819)
Simplify ((h**(-4)*h*h/(h*h/h**2)*h)**14)**33 assuming h is positive.
h**(-462)
Simplify (l/(l**20/l))**(-15)/(l*l**(-16))**40 assuming l is positive.
l**870
Simplify (j*j/(j**6*j))**3/(j**(-22))**19 assuming j is positive.
j**403
Simplify (g**8*g*g*g*g**(2/9)*g)/(g**(-3/5)*g*g**(5/4)*g) assuming g is positive.
g**(1723/180)
Simplify (((y**38*y)/y*y*y)/y*y**(3/32)*y)**(42/5) assuming y is positive.
y**(26943/80)
Simplify (s**(2/33)*s)**(-2/77)*s**(1/4)*s*s/(s*s**(-1/4)) assuming s is positive.
s**(1069/726)
Simplify (i*i**(-4/7)*i)**(-31)*(i*((i**1/i)/i)/i)**(-1/20) assuming i is positive.
i**(-6193/140)
Simplify (i**(-2)/i*i**(1/33)*i)/(i**(-1/8)/i**8) assuming i is positive.
i**(1625/264)
Simplify (i**(1/9))**(2/65)/((i/(i/((i**(-7/2)*i*i)/i*i)*i*i))/i*i**13) assuming i is positive.
i**(-9941/1170)
Simplify q**3*q*q/(q*q*q**19*q*q)*q/(q/(q*q/((q/(q/(q*(q**(1/27)/q)/q*q)))/q)))*q*q/((q**(-2/41)*q)/q) assuming q is positive.
q**(-14378/1107)
Simplify (g**(-11)/(g*g**(-3/2)))**(1/3) assuming g is positive.
g**(-7/2)
Simplify (w**(1/13)*w**(4/7))/(w**(3/2)/w**0) assuming w is positive.
w**(-155/182)
Simplify (q/(q**(-1/2)/q)*q**10*q*q)/(q/(q/q**(2/13)))**31 assuming q is positive.
q**(253/26)
Simplify (((g**(-5/6))**(1/6))**45)**13 assuming g is positive.
g**(-325/4)
Simplify n**(-1/5)/(n*n**(-4)*n)*n**(-5/6)/n*n/(n**(2/9)/n) assuming n is positive.
n**(157/90)
Simplify ((w**(2/11))**(-1)/((w/w**9)/w*w/(w/(w/(w*w**0)))))**(2/151) assuming w is positive.
w**(194/1661)
Simplify ((i**(-1/3))**(2/109)/(i/i**(-1/4))**(-16))**19 assuming i is positive.
i**(124222/327)
Simplify (j*j/((j*j*(j*j**3)/j*j)/j*j*j))/j**(-3)*(j*j*j/(((j/(j*(j*(j*j/(j*j/(j**(-1/9)*j*j)))/j*j)/j)*j)/j*j)/j))**35 assuming j is positive.
j**(1522/9)
Simplify h*h**(-9/8)/h*((h/(h*h*h**15*h)*h)/h)/h*((h*h**9)/h)/h**3 assuming h is positive.
h**(-105/8)
Simplify (k*k**(-35))/k**(-2/21)*(k**(-23))**(10/9) assuming k is positive.
k**(-3746/63)
Simplify ((a/(a/(a/a**(-6)))*a)/(((a/(a*a/(a/a**(-8))))/a)/a))/(a/(a**(-7)*a)*a/(a**(-1/5)/a)) assuming a is positive.
a**(-36/5)
Simplify (z/z**(-4/9))/(z**11/z)*z*z**(3/8)*(z/(z**(-9)*z*z))/z assuming z is positive.
z**(-13/72)
Simplify ((n/(n/((n**(1/3)*n)/n))*n)/(n/(n*n**(-6))))/(n**16*(n/n**(-1/19))/n) assuming n is positive.
n**(-1181/57)
Simplify (n/((n/(n*n**(-10)*n))/n))**34/(n/n**8*n*n*n*n*n*n/n**5) assuming n is positive.
n**(-232)
Simplify (m/m**(-1/6))/(m**(-11)*m)*(m**(-2/5)/m)**(-2/105) assuming m is positive.
m**(1679/150)
Simplify (s*(((s/s**(-3/2))/s)/s)/s)**(1/2)*(s*s/((s*(s*s/(s*(s*s**(-9/7)*s)/s)*s)/s)/s))/s**1 assuming s is positive.
s**(-1/28)
Simplify h**(3/11)*h*h*h/(h**(-4)/h)*h*h**6*h**(3/14)/h assuming h is positive.
h**(2231/154)
Simplify ((o/(o/o**15)*o)/o*o*o**11/o)**(1/19) assuming o is positive.
o**(26/19)
Simplify (s*(s/(s/s**29*s))/s)/(s*s/((s*s/(s*s**16)*s*s)/s))*s**16*s*(((s**(-6)*s)/s*s)/s)/s assuming s is positive.
s**22
Simplify ((c/(c*c/c**(-24)))/(c**(-1/2)*c))/(c/c**(-13)*c**7) assuming c is positive.
c**(-93/2)
Simplify ((f/(((f*(((f/f**(-1))/f)/f)/f)/f*f*f)/f*f)*f)**43*((f**(1/3)/f)/f)/(f**(-10)*f))**(-1/10) assuming f is positive.
f**(-151/30)
Simplify d**32/(d/(d/((d*d**(-2/117))/d)))*d*d/(d/(d*d**(-2/7)))*d**(-14)/d*d assuming d is positive.
d**(16160/819)
Simplify ((h*h/((h**(-3/2)*h)/h)* | {
"pile_set_name": "DM Mathematics"
} |
-g*m - 10 = 10 for m.
-4
Let b(j) = 36*j - 164. Let y be b(6). Solve -w = 12*w - y for w.
4
Suppose -3*p = -9*p. Let j = -11 - -15. Let c be (j - 4)*(-1 + 2). Solve c = -p*z - z - 2 for z.
-2
Let f = -4 + 9. Suppose -5*b = -2*b - x - 13, 4*b - 2*x - 16 = 0. Suppose b*z = -5*d + 55, 2*d + 0*z - 32 = -4*z. Solve f*r + 14 = -d for r.
-4
Let u be (42/8)/((-30)/(-80)). Solve -5*j = 11 + u for j.
-5
Suppose -7*o = -40 + 12. Solve o*b + 1 = 9 for b.
2
Suppose -82 = -3*m + 5*n - 5, n = -4. Solve 6 + m = 5*v for v.
5
Let i be -9 - (7 + -5 - 13). Solve -4*x - i*x = -x for x.
0
Let m = 9 + -6. Solve -13 = -m*n - 7 for n.
2
Suppose 4*z + 14 = 2*m, -4*m + 0 = -2*z - 4. Let b(s) = -s**3 - 2*s**2 - 3*s - 1. Let q be b(m). Suppose -5*n - 1 = 4*h, -n = 3*n + 4. Solve h + q = o for o.
2
Suppose -3*h - 55 = -6*h - w, 30 = 2*h + 2*w. Suppose -h = -21*q + 16*q. Solve -q*z = -2*z for z.
0
Let g be -1*2/(-1) + 2. Suppose -14 = -g*t + 2. Suppose 24 = -t*i + 8*i. Solve -2*s + i = 2 for s.
2
Let u be 3*3/27*33. Let z(j) = 17 + 6*j + 6*j - u*j. Let p be z(-11). Solve -p*n = -4*n for n.
0
Let o be (-3)/(30/4) + (-17)/(-5). Suppose 2*g + 5 = o*r, -2*g = 2*r - 0*g. Solve 3 + r = -s for s.
-4
Let c(g) be the second derivative of g**5/20 - g**4/2 + 5*g**3/6 + g**2 + 8*g. Let v be c(6). Let m be v/(-24)*(0 + -3). Solve -m*o - 1 = -17 for o.
4
Suppose -12 = -n - 3*x, 0*n + x = -3*n + 20. Suppose 0 = d + 4*d. Suppose 3*s - 4*z = n, 5*z = -3*s - d + 6. Solve 0*w - w - s = 0 for w.
-2
Let a be (-3)/(1 + 0) + (5 - 4). Let o be a*(-3 - 15/(-10)). Solve 3 = o*u - 0 for u.
1
Suppose 6*t = -2*d + 5*t - 4, -3*d - 12 = 3*t. Let q(l) = l**3 + 2*l**2 - 4*l - 1. Let w be q(-3). Suppose 6*j = 5*j + w. Solve j*c + c = d for c.
0
Let a(v) = 2*v**3 - 26*v**2 + 48*v + 20. Let c be a(11). Solve -j - c = -17*j for j.
4
Let s(z) be the first derivative of -z**3/3 + 6*z**2 - 11*z + 2. Let o be s(9). Let x be 0 + 0 + -2 + 6. Solve x*h - o = -0*h for h.
4
Suppose 2*b + 11 + 13 = 0. Suppose -4*u - 2*g + 0*g = 58, 10 = -u - 5*g. Let t = b - u. Solve -t*k - 3 = 6 for k.
-3
Suppose -x + 4*x = 66. Let q = 20 - x. Let u be (-1)/q*-6 - -10. Solve 20 = 2*y - u*y for y.
-4
Let b be (10*(-2)/(-12))/(1/3). Solve -6*d + b = -d for d.
1
Let l(f) = -18*f**2 - 4*f. Let h(r) = 12*r**2 + 3*r. Let n(m) = 7*h(m) + 5*l(m). Let c be n(-1). Let k be (1 + -11)*c/14. Solve 0 = -k*b + 25 - 5 for b.
4
Let u be 10/(-4)*40/(-25). Let a(q) = 2*q - 2. Let h(p) = 3*p - 5. Let o(y) = -5*a(y) + 3*h(y). Let d be o(-5). Solve d = -0*i - u*i + 16 for i.
4
Let k be 1 + 1/1 - -2. Let t(b) = 9*b**2 - 52*b - 68. Let g be t(7). Solve -f - k = -g for f.
5
Let l(g) = 2*g**2 - 151*g + 367. Let b be l(73). Let o = 1 - -2. Let n = 9 - o. Solve -b*t - t = -n for t.
2
Let r be (-2)/(-8)*-1*(7 - 15). Solve r*y = 2 - 4 for y.
-1
Let d(h) = 0*h + 0*h + 3 - 3*h**3 + 2*h**3. Let i be d(0). Let a be ((-60)/20)/(6/(-8)). Solve i*z = a*z for z.
0
Let s = 18 - 16. Suppose -10 = -5*p, -38 = -0*c - s*c - 4*p. Let b = 0 + 2. Solve h + b*h = c for h.
5
Let f be 12/3 - (-8 - -10). Solve 0 = i + f*i for i.
0
Let s be 3/1 + 0/(49/(-7)). Suppose 5*j = 47 + 18. Solve j - s = 5*l for l.
2
Let i = 22 - 17. Let p(t) = -t**3 + 2*t + 1. Let n be p(-1). Suppose -4*c + 5*u = n, 0*c = -2*c + 3*u. Solve c = i*x - 3*x + 6 for x.
-3
Let j be ((-3)/3)/(2/(-10)). Suppose 2*m = 2*t + 7*m + 14, 5*t - 27 = 3*m. Suppose i = -t*i. Solve 0 = -i*r + r - j for r.
5
Let i = 32 + -29. Suppose 5*m - i = -0*w + 3*w, -2*m = -3*w - 3. Let z(s) = s**3 + 5*s**2 + 3*s + 1. Let n be z(-4). Solve n*g = -m*g for g.
0
Let i(m) be the third derivative of -1/120*m**6 + 0*m + 0*m**5 + 6*m**2 + 1/2*m**3 + 0*m**4 + 0. Let p be i(0). Solve p*j = -0*j for j.
0
Suppose 49 = 3*z + 5*s, s + 4 = -0. Solve -3 + z = -4*v for v.
-5
Let t(o) = -o**3 - 8*o**2 - 17*o - 42. Let j be t(-7). Solve j = q + 32 for q.
-4
Let m(l) = -2*l**2 + 3 + 5*l**2 - 4. Let b be m(1). Suppose 12 = 4*x, -32 - b = -5*j - 3*x. Solve j*h - 6 = 14 for h.
4
Let g(k) = k**3 - 9*k**2 + 5. Let d be g(9). Let p(u) = 2*u - 7. Let q be p(d). Let c = 1 - -2. Solve 0 = c*y + q + 6 for y.
-3
Let p be ((-18)/4)/(2/4). Let k be (-2)/p*3*3. Suppose k*z = -z. Solve -u + 4 = -z*u for u.
4
Suppose 4*t - 4*m + 342 = -6*m, -5*m = -t - 58. Let c = t + 87. Solve c*o = 11 + 1 for o.
3
Let l(q) = q**3 - 5*q**2 + 6*q - 4. Let t be l(4). Solve -3*y + 5 = -t*y for y.
-5
Let x(b) = 16*b + 658. Let g be x(-41). Let u = -1 + 2. Solve u = g*z - 7 for z.
4
Let g be (67 - 69)*6/(-1). Solve -1 = -g*k + 59 for k.
5
Let h = -37 + -47. Let b be h/(-7) - 3 - (-1 + 2). Solve -2*j = -0*j + b for j.
-4
Let f be (-6)/(-8) + 45/(-12) + 48. Let i = f - 43. Solve -i*s = -7*s + 10 for s.
2
Suppose 5*a - 3*a = 20. Suppose -26 = -3*h + a. Suppose h = 4*c - z, -3*c + 28 = c + 3*z. Solve 0 = -c*i - 2 - 6 for i.
-2
Let n be (0 - -1) + (-5)/(-5). Let y be (21/2)/(9/12). Suppose -4*g = -y + 6. Solve g = n*c + 12 for c.
-5
Suppose 27*j - 74 = 88. Solve -3 = -t - j for t.
-3
Let s(w) = 3*w - 3*w**2 + 0*w - w**3 + 3 - 1. Let c be s(-3). Let h = c - -11. Solve y + y + h = 0 for y.
-2
Let k = 3 - 2. Let f(o) = 31*o**2 + 495*o - 12. Let q be f(-16). Solve -i - k = q for i.
-5
Let j(p) be the third derivative of p**5/120 - p**4/12 - p**3/3 - 4*p**2. Let o(y) be the first derivative of j(y). Let z be o(5). Solve 16 - 4 = z*h for h.
4
Let w be (1 + 6/(-3))/(4/(-20)). Let j be -15*(-5 + (-3)/(-1))/w. Solve x + x = j for x.
3
Let y(l) = -l**2 + 17*l + 14. Let w be y(0). Solve w*a = 16*a + 2 for a.
-1
Let f(s) = -s**2 - 23*s - 57. Let g be f(-20). Solve -5*q = -g*q + 6 for q.
-3
Let s be (74 - 51)/(1 - 0). Solve 6*r + 5 = s for r.
3
Suppose j + 7 = -3*i, -j + 0*j - 1 = -3*i. Let d be ((1 - -2) + 7)/i. Let p be ((-9)/(-6))/(-3)*d. Solve -23 = -p*u - 3 for u.
4
Let n = -730 - -730. Solve n = 14*i + 10 + 4 for i.
-1
Let c(i) = 11*i**2 + 1. Let y be c(-1). Let s be y/9*(-21)/(-14). Solve -4 = s*v + 2*v for v.
-1
Suppose -15 = -11*n + 6*n, 0 = -5*i - 5*n + 30. Let c be (-25)/(-4) + i/(-12). Solve 3*o = 6 + c for o.
4
Let l = 20 - 20. Suppose 8 = b - k, -2 = -b - l*b - k. Solve 0 = -b*c + 2*c + 6 for c.
2
Let o = 15 - 10. Let g = -2 + o. Suppose g*x = -3*x. Solve n - 2 = -x for n.
2
Let j(f) = f**2 - 7*f + 13. Let g be j(3). Solve -2*d - 3 = -g for d.
-1
Let p(w) = -2*w + 14. Let l(d) = -d - 1. Let v(x) = l(x) - p(x). Let z be v(11). Let s be 42/5 - z/(-10). Solve -s = -4*g + 4 for g.
3
Let o(p) = -p**3 - 3*p**2 + 8*p + 3. Let m be o(-5). Let x(a) = 26 - 4 + 2 - a. Let j be x(17). Solve -j - m = -5*b for b.
4
Suppose -4*p - 2*m - 10 = 0, -2*p + 2*m = 3*p + 8. Let u be 3/(p - (0/4 - 3)). Solve 5*r + u - 18 = 0 for r.
3
Let u = 2 - -5. Let p be 5/20*6*(-8)/(-2). Solve p = 4*t - u*t for t.
-2
Let y(v) be the third derivative of -v**5/60 + 5*v**4/12 + 4*v**3/3 - 12*v**2. Let r be y(10). Suppose -1 = g - r. Solve -g*b + 3*b - 4 = 0 for b.
-1
Suppose -12*l - 49 = -19*l. Solve 0 = l*b - 4 + 18 for b.
-2
Suppose -w + 4*b = -32, -2*w + w = 4*b + 8. Suppose 12 = 8*u - w. Solve u*v - 6*v - 15 = 0 for v.
-5
Let f = -64 - -34. Let o = -53 - -84. Let k = o + f. Solve j - 2 = -k for j.
1
Let b = 58 - 55. Solve -2*p = b*p + 15 for p.
-3
Let d(n) = n + 9. Let p be d(-7). Let b be 3 + -2 + p + (-3 - 0). Solve -4*j - j = b for j.
0
Let t = 436 - 434. Solve -4*s + 6 = t for s.
1
Let b = 63 - 59. Suppose 5*k - b = 16. Solve 25 = -k*y - y for y.
-5
Let b be -1*(48/(-4) + 3). Suppose 0 = 6*o - b + 3. Solve -q + o = -3 for q.
4
Suppose 5*m + 2*m = 217. Let b = -23 + m. Solve -4*j + 0 = b for j.
-2
Suppose -2*f - 3*f + 59 = g, 0 = -f + 3*g + 15. Let r be 1*f*(-1)/(-2). Suppose -l + 3*l - r = 0. Solve 0 = -u + l*u - 8 for u.
4
Let d = -151 + 244. Let f = d + -90. Solve 2 = -5*u - f for u.
-1
Let h = -22 - -8. Let b = h + 17. Suppose 4*s = 6*g - 2*g, 3 = 4*s - b*g. Solve -2*r = s - 1 for r.
-1
Let l(q) = -q**3 - q**2 + q + 1. Let b(f) = -4*f**3 - 10*f**2 + 5*f + 11. Let m(t) = b(t) - 5*l(t). Let v be m(5). Solve -c + v = -3*c for c.
-3
Let v = 1 - -4. Suppose -13*w + 17*w + 12 = 2*t, 5*t + 3 = -w. Solve -v + t = f for f.
-5
Let o be (-5)/2*(-4)/5. Suppose 2*v + 117*b - 10 = 112*b, 2*v - 10 = 5*b. Solve -7*l = -o*l + v for l.
-1
Let l(p) = p**2 + 10*p. Let f be l(6). Suppose -f = 5*m - m. Let d = m - -30. Solve -n = n + d for n. | {
"pile_set_name": "DM Mathematics"
} |
y rounded to the nearest 1000000?
0
Let f = 231 + -294. Let b = -110236986.000057 - -110237049. Let i = b + f. What is i rounded to 5 decimal places?
-0.00006
Let j = 600.9997264 - 601. What is j rounded to six decimal places?
-0.000274
Suppose -32*q + 34*q + 3*y = 456194, 4*q + y = 912398. Round q to the nearest 1000.
228000
Let y = 191 - 190.9998822. What is y rounded to 6 dps?
0.000118
Let o(i) = -39481*i - 114. Let y be o(6). Round y to the nearest one million.
0
Suppose 0 = -7*q + 3*q + 2*q. Suppose q*s + 42000 = -6*s. What is s rounded to the nearest 1000?
-7000
Let m = -0.579998516 - -0.58. Round m to seven dps.
0.0000015
Suppose 0 = -19*v + 18*v + 19. Let c = 26 - v. Round c to the nearest integer.
7
Let p = 25 - 25.55. Let m = 0.55 + -1.26. Let w = p + m. Round w to 1 dp.
-1.3
Let h = 1.3607 - -1.6438. Let q = -0.0345 + h. What is q rounded to one decimal place?
3
Let a = 3434 - 9154. Round a to the nearest one hundred.
-5700
Suppose 5*s - 4*h - 417 = 0, 3*h = 2*s + 6*h - 153. Suppose 5*g + 18 = 3*v - s, -3*v + 87 = -g. What is v rounded to the nearest 10?
30
Let b = 3.944 + -3.99438. What is b rounded to three decimal places?
-0.05
Let q = 0.02138 + -3830.02138. Let h = -3825.994 - q. Let j = h + -4. Round j to 2 decimal places.
0.01
Let h(y) = -y**3 - 22*y**2 - 21*y + 2. Let m be h(-21). Suppose 5400 = -m*x - x. What is x rounded to the nearest one thousand?
-2000
Let h = -4.259 - -0.229. Round h to 0 decimal places.
-4
Let d = 7.033 - 4.87. What is d rounded to one dp?
2.2
Let v = -2000.98817 + 2001. What is v rounded to two dps?
0.01
Let x = -36827129.00233 + 36826804. Let a = x - -325. What is a rounded to four dps?
-0.0023
Let k(j) = 51498*j**2 - 24*j - 40. Let h be k(-10). What is h rounded to the nearest 100000?
5200000
Let v = 355231659.249219 - 355231376. Let d = 300.64929 - v. Let n = 17.4 - d. Round n to five dps.
-0.00007
Let p = 8.3 - 8. Let z = -10.7461762 - -10.44617. Let y = p + z. Round y to 6 decimal places.
-0.000006
Let x = -96.899229 + 96.9. Round x to four decimal places.
0.0008
Let w = 1.266 + -0.066. Let x = -0.3 - 1. Let h = x + w. What is h rounded to 0 dps?
0
Suppose 0*k + 2*y = -5*k - 4, 5*y + 10 = -k. Let z be k + 4/1 + -560004. Round z to the nearest 100000.
-600000
Let b = 25699.87 + -25852. Round b to 0 decimal places.
-152
Let d = -0.0936 - -0.14. Let g = d + -0.042. Round g to 3 dps.
0.004
Let r = 54 + -51. Suppose 48100000 = r*n + 10*n. Round n to the nearest 100000.
3700000
Let g = 166.0909 + 1.2491. Let x = g - 165. What is x rounded to 1 dp?
2.3
Let l = -0.057 + -50.943. Let j = 51.0083 + l. What is j rounded to 3 dps?
0.008
Let t(h) = -6 - 4*h - 2 - 4*h**2 + 22*h**3 + 8*h**3 + 9*h**3. Let r be t(-8). What is r rounded to the nearest 1000?
-20000
Let u = 1.131685 + -0.79162. Let w = 19 - 18.66. Let g = w - u. What is g rounded to 5 decimal places?
-0.00007
Suppose -611*p + 601*p - 240700 = 0. What is p rounded to the nearest 1000?
-24000
Let b be (-68)/10 - (-5)/(-25). Let w = 12 + b. Suppose -94012 = -2*m + 3*q, -w*q + 46980 = 2*m - m. What is m rounded to the nearest ten thousand?
50000
Let c = 69 + -68.899. Let b = 0.1010087 - c. Round b to 6 decimal places.
0.000009
Let q = 67.88 - 69. Let u = q - -1.11999939. Round u to 7 dps.
-0.0000006
Let c = -8391 + 8390.91651. Round c to two dps.
-0.08
Suppose -5*f + 8 = 4*s, -f = -2*s - 0*s - 10. Let u be 1*(s - (852012/1)/(-4)). Round u to the nearest ten thousand.
210000
Suppose 5*u - 551 = 3*y + 1215, 2*y + 1199 = -u. What is y rounded to the nearest one hundred?
-600
Let j = -1469 + 1469.0019074. What is j rounded to five decimal places?
0.00191
Let l = 332.6 + -373. Round l to the nearest ten.
-40
Let f(z) = -253*z**2 - 11*z - 36. Let c be f(11). What is c rounded to the nearest one thousand?
-31000
Let s = -187.5025301147 - -3.3025291117. Let n = -184.2 - s. Round n to 7 dps.
0.000001
Let m = 116.106 + -116. Let g = 0.937 - 1. Let j = g + m. Round j to two dps.
0.04
Let k be -1007 + -6*(-5)/15. Let t = -2095 + k. Round t to the nearest 1000.
-3000
Suppose -2*n = -4*r + 40, n = 2*r + 3*n - 8. Let g be (-1659)/(-12) - 2/r. Round g to the nearest 10.
140
Let k(l) = l**3 + 2*l**2 - l + 1. Let v be k(-3). Let i = 9 + v. Suppose p = 4*p - 3*h - 10199991, i*p + h = 13600003. What is p rounded to the nearest 1000000?
3000000
Let w = 68321675.000073 - 68321555. Let v = -120 + w. Round v to five decimal places.
0.00007
Let p = 66 + -64.96. Let n = 0.944 - p. Round n to two decimal places.
-0.1
Let h = -912.478 - -910. Round h to 1 decimal place.
-2.5
Let k(q) = -q**2. Let c(t) = 532*t**2 + 2*t. Let d(g) = -c(g) + 6*k(g). Let m be d(-4). Round m to the nearest one thousand.
-9000
Let d(s) = 18*s**3 - 2*s**2 + 1. Let a be d(1). Suppose -18*z - 900 = -a*z. What is z rounded to the nearest 100?
-900
Let j = -1.3599287 + 1.36. Round j to 6 decimal places.
0.000071
Let l(b) = b**2 + 15*b - 7. Let p be l(-16). Let n be (-1753)/p - 2/9. What is n rounded to the nearest ten?
-200
Let i = 288 - 288.000000216. Round i to 7 decimal places.
-0.0000002
Suppose 0 = 8*y - 174489 - 247911. Round y to the nearest one thousand.
53000
Let m = 292784648.2000303 - 292784602. Let b = m - 46.2. Round b to 6 decimal places.
0.00003
Let t = 67753.48915 + 207284.19995. Let a = t + -275015. Let c = -22.7 + a. Round c to three decimal places.
-0.011
Let m = 64.994 - 0.394. Let l = m + -72. What is l rounded to zero dps?
-7
Let k = 18480 - 18480.10341. What is k rounded to 2 decimal places?
-0.1
Let n = -3598 - -3598.011544. What is n rounded to 4 decimal places?
0.0115
Let w = -4.5187 - -4.045. What is w rounded to two dps?
-0.47
Let d = -5.285 + 5.6. Let z = d + 1.715. What is z rounded to one decimal place?
2
Let l = 1365961.9839 - 1365725. Let q = -237 + l. What is q rounded to 3 decimal places?
-0.016
Let k(j) = 943*j**3 - 21*j**2 - 26*j + 38. Let i be k(19). What is i rounded to the nearest 1000000?
6000000
Let a = -19.2 - -19.199999971. What is a rounded to seven decimal places?
0
Let p = -2235.02187 + 2235. What is p rounded to four decimal places?
-0.0219
Let d = 17665874 - 17822886.573. Let n = 157008.57299897 + d. Let o = n + 4. Round o to 7 decimal places.
-0.000001
Let i(n) = n**2 + 8*n - 14. Let q be i(-10). Let u be 131982/q + (0 - -3). Round u to the nearest 10000.
20000
Suppose -16*n = -20*n. Suppose -4*d = -4*k - 6040, -d + 3020 = -n*k - 2*k. What is k rounded to the nearest 100?
-1500
Let w be (2/(-4))/(1/(-8)). Suppose -5*v - 11000025 = -0*n + 2*n, -5*v = w*n + 22000025. What is n rounded to the nearest 1000000?
-6000000
Let f = 85.9 - 85.900001497. Round f to seven decimal places.
-0.0000015
Suppose c - 4 - 27 = -5*t, -5*t = -c + 1. Suppose 15*n + 44600000 = c*n. What is n rounded to the nearest 1000000?
45000000
Let v = 23 + 3. Let g = v - 26.014. Round g to 2 dps.
-0.01
Let l = 70 + -29. Let x = -40.994 + l. Round x to three decimal places.
0.006
Let l = 7 + -11. Let z be (l + 12)*7/2. Let v be 2 + z/4*-34286. Round v to the nearest 100000.
-200000
Suppose 0*o + 4*o + 3*g - 3 = 0, 2*g = -6. Suppose 5*f + 33003 = -q, f + q + 6594 = o*q. What is f rounded to the nearest 1000?
-7000
Suppose 0 = -c + 2*c - 6. Let v be (1 + (-1078)/c)*600/(-32). What is v rounded to the nearest 100?
3400
Let w = 524 + -241. Suppose t - o - 3*o = -w, 0 = -4*t + 4*o - 1096. What is t rounded to the nearest ten?
-270
Let s = 30487.12837 + -30487. Let o = 0.001602 + s. Let k = o + -0.13. Round k to 5 dps.
-0.00003
Let p(i) = -3*i**2 - 11*i - 6. Let r be p(-4). Let c be (-6)/r + 94491/15. Round c to the nearest one thousand.
6000
Suppose 0 = 17*c - 65489471 - 249180529. Round c to the nearest one hundred thousand.
18500000
Let y = -100 - -111. Suppose 3011769 = -y*d - 3368231. Round d to the nearest 100000.
-600000
Let o = 14994960 - 14994966.0000006. Let g = -6.11 + 0.11. Let p = o - g. What is p rounded to 6 dps?
-0.000001
Let f = 1873.79 - 1865. Let p = f + 0.81. Round p to the nearest integer.
10
Let k(z) = -962*z + 4. Let n(i) = -963*i + 4. Let t(g) = -3*k(g) + 4*n(g). Suppose 33 - 15 = -3*m. Let r be t(m). What is r rounded to the nearest one thousand?
6000
Let q = -17.03 + 43.37. What is q rounded to the nearest 10?
30
Let p(v) = -5842854*v - 22. Let d be p(7). Round d to the n | {
"pile_set_name": "DM Mathematics"
} |
)/(-75)). Solve 0 = -u*z - 110 + 130 for z.
1
Suppose -3*x + 4*a = 2*x + 37, -3*a = 4*x + 11. Let y(h) = 2*h + 11. Let p be y(x). Solve -u + 0 = p for u.
-1
Let q = -6416 - -6438. Solve -q - 34 = 14*i for i.
-4
Suppose -2814 = 5*t + 16*t. Let f = -131 - t. Let i be ((-7)/(-3))/(2/6). Solve -i = -2*y - f for y.
2
Let l = 173 + -164. Suppose 0 = -l*a + 7*a. Solve a - 1 = k for k.
-1
Suppose 3*m + 1753*r = 1750*r + 93, 3 = 3*r. Solve -m = -119*s + 124*s for s.
-6
Suppose 0 = -4*n - 3*v + 249, -2*n + 4*v = v - 147. Solve 0 = -48*f + 59*f + n for f.
-6
Let h = -8776 + 8794. Solve 31*c = 22*c + h for c.
2
Suppose 0 = -4*i - 3 - 21, -5*b = 2*i - 73. Solve 0 = -24*n + b*n + 21 for n.
3
Let x(l) be the first derivative of -37*l**2/2 - 140*l + 175. Let m be x(-4). Solve 0 = m*f - 13*f - 5 for f.
-1
Let k(z) be the third derivative of 2*z**4/3 - 46*z**3/3 + 111*z**2 + 2*z. Let i be k(6). Solve 0 = -2*x - i*x for x.
0
Let f = 83 + -75. Let q be (f/6 + 10/(-12))*0. Suppose 1 = 3*u - 2, -3*i - 5*u + 20 = q. Solve 3*k = -2*k + i for k.
1
Suppose -1635 = -116*u + 1729. Solve -20 + u = -3*a for a.
-3
Let a be 4/(-7) - (-26390)/1421. Solve m = a - 21 for m.
-3
Suppose -5*b + 400 = u, 99 = 4*b + 5*u - 221. Solve 0 = b*w - 77*w + 6 for w.
-2
Suppose r - 4218 = 5*y, 0 = -2*r + 5*r + 2*y - 12552. Solve -4193*a = -r*a + 30 for a.
-6
Let p(n) = -n**3 + 12*n**2 + 2*n - 20. Let t be p(12). Suppose 94 = -t*z + 126. Solve 49*w + z = 47*w for w.
-4
Suppose 108*i - 658 - 62 = -72*i. Suppose 0*s + 4*x + 23 = -3*s, 0 = x + 5. Let t = s - -1. Solve -i = d - t for d.
-4
Let d = -5540 - -5595. Solve d = 70*n - 59*n for n.
5
Let p be (-2 - (-126)/8)*-4. Let h be 0 - ((1/(-1) - -3) + 9). Let k be 16/5 - h/p. Solve -k*n + 4 = n for n.
1
Suppose 110 = 3*r - 2*n, 5*r - 200 = -n - 8. Solve 0 = r*m - 33*m + 25 for m.
-5
Suppose 8*c + 115 = 6*c + 7*c. Solve 2 = c*a - 25*a for a.
-1
Let f be 139 - -4*(-22)/(-8). Solve -65 = 163*t - f*t for t.
-5
Let g(b) = -b**3 + 8*b**2 + 2*b + 1. Let c be g(8). Let q be -3735*67/(-30150) + (26/(-20) - -1). Solve 23 = -q*o - c for o.
-5
Suppose -65*z + 3094251 - 3093991 = 0. Let r(v) = v**2 - 2*v - 2. Let p be r(4). Solve z*q + p*q = -20 for q.
-2
Let m be 84/252*(3 + 31 + 2). Suppose 0 = i + 3*i - 20. Solve 2*c = i*c - m for c.
4
Let i(j) = -8*j + 54. Let v be i(6). Solve -14*q - v*q = 120 for q.
-6
Let n(o) = -o**2 - 5*o - 3. Let x be n(-2). Suppose -3*g - 9 = -x*v, -2*v - 2*g = 3*v - 22. Solve 7*i = 8*i + v for i.
-4
Let o(w) = 3*w**3 - 26*w**2 + 11*w - 164. Let a be o(9). Solve a*k + 91 = 29*k for k.
7
Let z = -969 - -984. Solve -7*a - 29 + z = 0 for a.
-2
Let b = 8293 + -8166. Solve 0 = -14*p - 43 + b for p.
6
Let g(t) = -t**3 + 24*t**2 + 17. Let r be g(24). Suppose 0 = -4*a - 9 + r. Let m(w) = w - 6. Let c be m(18). Solve a*z + 2*z = c for z.
3
Let l be 4 + 2 + 84 + (4 - 0). Solve -l = -11*k - 39 for k.
5
Let c be 136/(-10) + (1 - 7/5). Let u(q) = -q - 26. Let w be u(c). Let y = -12 - w. Solve y = 3*v + 2*v - 5 for v.
1
Let k = 31819 + -31443. Solve k = 31*d + 16*d for d.
8
Let y = 155 - 153. Suppose -c + s = -17, -2*c = y*s - 14 - 4. Solve 0 = 2*i + 3 - c for i.
5
Suppose 10*h - 3 = 17. Suppose 0 = w + 4*a, -h*w - a = -w - 9. Suppose w*x - 4*x - 32 = 0. Solve x*l - 2*l = -6 for l.
-3
Let h = 212 - 194. Suppose -s = -h - 7. Solve 7*q = 2*q - s for q.
-5
Suppose d + 4*b - 45 = 0, -d - 60 = 3*b - 100. Solve -d*g = 8*g + 264 for g.
-8
Let x(k) = 3*k**3 + k**2 + 10. Let j = 78 + -75. Let n be x(j). Suppose 2*y - n = -8*y. Solve 4*h + y = 2*h for h.
-5
Let t(b) = -2*b**2 - 67*b + 108. Let v be t(-35). Let n = -16 + 24. Let l(p) = p**2 + 37*p + 7. Let x be l(0). Solve x*h = n*h + v for h.
-3
Suppose -3*v - 4*j + 55 = 0, -3*j = -v + 19 + 21. Solve -31*f - 12 = -v*f for f.
-2
Suppose 5*u - 3 = -8, 0 = -2*v - u + 2257. Suppose -v = -12*t - 1105. Let k be 1/3 - (-3)/(-9). Solve -t*c - 8 = -k for c.
-4
Let l = -8450 - -8453. Solve -2*t - l + 7 = 0 for t.
2
Suppose 4*h - 5*h = 2*o - 6, 2*h = 5*o - 33. Suppose 0 = -2*z + q - 1, -z + 6*q - o*q - 1 = 0. Suppose z = 2*x + 2*x - 12. Solve x*s = 5*s for s.
0
Let v(q) = -9*q - 31. Let z be v(12). Let g = z - -142. Solve -m + g*m - 8 = 0 for m.
4
Suppose n - 97 = -15. Let u = 971 - 1051. Let k = u + n. Solve 0*j + 6 = k*j for j.
3
Suppose -2*a - 5*k = -3*a, 3*a - 5*k = 0. Let o be 10 + (a + -2 - 1). Suppose -3*u + 8 - 19 = c, 2*u = -3*c + 2. Solve o = -c*d + 27 for d.
5
Let m(h) = h**3 + 6*h**2 + 8. Let y be m(-3). Let x be (-126)/y*(40/(-3))/1. Let a = -31 + x. Solve 4*p - a = -1 for p.
4
Let s(j) = 21 + 4 - j + j + j. Let q be s(0). Suppose -29*g + q*g = -20. Solve 6 = -g*c + 3*c for c.
-3
Let w be (1 + 27)/(-7) + 33. Solve 0 = 21*k + 8 - w for k.
1
Suppose 0 = -21*b + 15*b + 36. Suppose 4*y - b = 3*y. Solve 9*k + 9 = y*k for k.
-3
Let a(p) = -p**2 + 10*p - 8. Let m be a(7). Suppose g - 4*b = m, -5*b - 26 = g - 3*g. Suppose 5*w - 32 = z, z + 109*w - 115*w = -39. Solve z*o - g = -4 for o.
3
Let h be (1/(-2))/(1/2)*-3. Suppose 4*o + l = 4*l + 10, -4*l + 8 = 0. Suppose 2*j + 3 = -o*r + 5*j, 0 = -4*r - 3*j + 27. Solve -2*p + r = -h for p.
3
Let j be ((-5)/4)/(1/(-4)). Suppose -835 = -u - 804. Suppose -2 - 3 = 5*r - 3*y, 5*y = -3*r + u. Solve -r*v - 12 = -j*v for v.
4
Let h be 9 + (-9)/(63/(-14)). Suppose 0 = h*c + c - 192. Solve 6*k = 2*k - c for k.
-4
Let g = 117 + -115. Suppose a + 3 = -g. Let j(i) = 5*i + 30. Let s be j(a). Solve s*u + 3 = 23 for u.
4
Suppose -q - 4*p - 171 = 0, -3*q - 4*p - 531 = -p. Let d = q - -221. Solve 3*i + 57 - d = 0 for i.
-5
Let f(x) = -31*x + 168. Let q be f(5). Let c be ((-13)/q)/((-2)/20). Solve 14*n - c*n - 12 = 0 for n.
3
Let l = -71 - -72. Let z(g) = 15*g + 3. Let u be z(l). Let d be ((-8)/12)/(2/(-15)). Solve d*s - u = 2 for s.
4
Let v be 24/15 + -2 - 46/(-115). Let u be (-24)/(-9)*(-3 + 2 + 4). Solve v = -13*y + u*y - 10 for y.
-2
Suppose -23*y = -22*y - 50*y + 19404. Solve 52*c + y = 8*c for c.
-9
Let s(w) = w**3 - 26*w**2 - 30*w + 90. Let l = -370 - -397. Let f be s(l). Solve -1 = f*b + 8 for b.
-1
Let n be 5 + (-4)/1 - (11 - 25). Let r be (30/9)/((-10)/15). Let a be 4/(60/(-9))*r. Solve 0*s = -a*s + n for s.
5
Suppose -3*j = -2*j - 5. Suppose 0 = -r + j*r. Suppose 2*t - 4*u + 3 = -3*u, r = t - 2*u + 6. Solve t = -f - f + 10 for f.
5
Let a(f) = f**2 + 4*f + 14. Suppose -t - c - 2 = 0, 2 = -2*t - 2*t - c. Let z be a(t). Solve 29 - z = -5*v for v.
-3
Let r(l) = l**2 - 11*l + 5. Let j be r(16). Suppose -j*m + 69*m = -96. Solve 3*a - m*a = 2*a for a.
0
Suppose 0 = z - 4*z - 12, -l - 2*z = 2. Let h(c) = c - 4. Let j(t) = 3*t**2 + t - 4. Let f be j(2). Let v be h(f). Solve -v = 4*a - l*a for a.
3
Let h(q) = 4*q + 509. Let b be h(-101). Solve -480*r + 465*r = b for r.
-7
Suppose -20 = 2*w + 28. Let c be (w/30 - -1) + (-27)/(-15). Let o(t) = -t**3 + t**2 + 2*t + 1. Let b be o(2). Solve 5 = c*l + b for l.
2
Suppose 3*k = 2*p + k + 156, -3*p = -4*k + 239. Let a(f) = -76*f**3 + f**2 - 1. Let w be a(-1). Let o = w + p. Solve 0 = 3*t - 6*t - o for t.
-1
Let q = -422 + 438. Suppose -5*l - 3*t + 4 = 0, -17*t = -4*l - 13*t + q. Solve 0 = -l*n - 2 - 6 for n.
-4
Suppose -o + 4*j + 23 = 0, 8*o + 2*j = 3*o + 5. Suppose -2*k - 12 = -5*x, 2*k - 3*x + 16 = o*k. Let i be -12*(9/(-12))/1. Solve -y = -k*y + i for y.
3
Let s be 14/(-119) + 516/51. Suppose 5*h = 15 + s. Suppose 31 = 9*u - 41. Solve h*j + 17 = -u for j.
-5
Let m = 192 - 143. Let g be (-42)/m + 450/35. Solve k = 4*k + g for k.
-4
Let y = 4 - 1. Suppose -4*b = 2*v + 8, -b + 7 = 2*v + y. Solve 2 = -v*f - 10 for f.
-3
Let q(l) = l**2 - 17*l + 38. Let o be q(23). Let k = -170 + o. Solve -2*b - k + 0 = 0 for b.
-3
Let s = -790 + 546. Let g = s - -247. Solve 0 = -g*k + 5*k + 8 for k.
-4
Suppose 80 - 10 = -5*t - 20. Let y(b) = b**3 + 3*b**2 - 5*b. Let n be y(-4). Let p be t*(n/(-2))/(-1 - -4). Solve 3*f = -f + p for f.
3
Let f(h) = h**3 - 9*h**2 - 7*h - 35. Let a be f(12). Suppose -28 = -11*u + a. Solve 32*t = u*t + 5 for t.
5
Let s(j) = j - 1. Let l = 16 + -11. Let p be s(l). Let i be (-35 + 35)/((-2 - -3)*3). Solve p*y - y = i for y.
0
Suppose 0 = 4*h - 3*c - 0*c + 211, 186 = -4*h - 2*c. Let a = h + 85. Suppose 4*k + 12 = a. Solve -k*p - 6 = -4*p for p.
-3
Suppose 4*c + m + 2 + 2 = 0, -c - 16 = 4*m. Solve -3*f + c*f - 9 = 0 for f.
-3
Let j = | {
"pile_set_name": "DM Mathematics"
} |
t(r) be the first derivative of -r**4/18 + 8*r**3/27 + 19*r**2/9 + 28*r/9 - 162. What is j in t(j) = 0?
-2, -1, 7
Suppose 264*q - 75/2*q**4 - 312*q**2 + 3*q**5 - 72 + 162*q**3 = 0. What is q?
1/2, 2, 6
Let s(x) be the first derivative of -5*x**6/2 + 141*x**5/5 - 207*x**4/2 + 128*x**3 - 48*x**2 - 639. What is l in s(l) = 0?
0, 2/5, 1, 4
Let q be ((-26)/(-3))/((12/109)/(-3)). Let j = 237 + q. Factor -j*y**3 + 1/3 - 3/2*y + 2*y**2.
-(y - 1)**2*(5*y - 2)/6
Let v(u) be the third derivative of u**5/210 - 31*u**4/42 + 961*u**3/21 - 142*u**2. Factor v(h).
2*(h - 31)**2/7
Let g = 11885/26088 + 3/1087. Let x = 7/8 + g. Factor -x*t**3 + 2*t**2 + 1/3 - 4/3*t + 1/3*t**4.
(t - 1)**4/3
Let c(j) be the second derivative of -j**4/12 - 9*j**3 + 55*j**2/2 - 81*j. Factor c(r).
-(r - 1)*(r + 55)
Suppose -6 = -p + 4. Factor 17*k - 2*k**3 - 15*k - p*k - 10*k**2.
-2*k*(k + 1)*(k + 4)
Let q(g) = -2*g + 33. Let v be q(14). What is k in 10*k**2 + k - 3*k - 2*k - 18*k**2 + 8*k**4 + 4*k**v = 0?
-1, 0, 1
Let n(l) be the third derivative of l**5/60 + 25*l**4/24 - 13*l**3/3 - 2*l**2 + 30*l. Find r, given that n(r) = 0.
-26, 1
Let d = -23308/9 + 2590. Find q such that 0*q**2 + d*q**4 + 0*q + 0*q**3 + 0 = 0.
0
Let o(m) be the third derivative of 1/8*m**4 + 0 + 0*m + 0*m**3 + 1/10*m**5 + 1/40*m**6 + 8*m**2. Factor o(y).
3*y*(y + 1)**2
Solve 12998*v**4 - 24*v + 6*v**3 + 1 - 12996*v**4 - 1 - 8*v**2 = 0 for v.
-3, -2, 0, 2
Let j(c) be the second derivative of -2*c**2 + 2*c**3 + 0 - c**4 + 23*c + 1/5*c**5. Factor j(q).
4*(q - 1)**3
Let o be (-2)/(-8) + (1 - (-552)/(-448)). Let f(y) be the second derivative of -o*y**7 + 0 - 6*y + 0*y**2 + 0*y**5 + 0*y**4 + 0*y**3 + 1/20*y**6. Factor f(p).
-3*p**4*(p - 2)/4
Let o = -2416 - -2416. Factor 2/3*f**3 - 5/3*f**4 + 0*f + o*f**2 + 0.
-f**3*(5*f - 2)/3
Suppose -11*h - 120 = -120. Let h + 1/4*o**2 - 1/4*o = 0. Calculate o.
0, 1
Let k be (-1 + 1)/(216/(-54)). Factor v + k - 1/2*v**2.
-v*(v - 2)/2
Let x(h) be the first derivative of 0*h**2 - 1/16*h**4 + 52 + 0*h - 1/4*h**3. Factor x(k).
-k**2*(k + 3)/4
Let u(x) be the first derivative of -x**3/4 - 39*x**2/8 - 27*x + 394. Let u(q) = 0. What is q?
-9, -4
Let m(c) be the second derivative of -c**3/6 + 15*c**2/2 + 12*c. Let u be m(15). Factor -3/7 + u*t + 3/7*t**2.
3*(t - 1)*(t + 1)/7
Let y(t) = 12*t + 4*t**3 - 5*t**3 - 4*t**3 + 29*t**2 - 8 - 2*t. Let x(r) = -3*r**3 + 19*r**2 + 7*r - 5. Let a(p) = -8*x(p) + 5*y(p). Factor a(z).
-z*(z + 1)*(z + 6)
Let j(n) = n**3 - n**2 - 1. Let a = -33 + 12. Let x = 23 + a. Let z(d) = -10*d**3 + 11*d**2 - d + 11. Let c(m) = x*z(m) + 22*j(m). Factor c(r).
2*r*(r - 1)*(r + 1)
Let t(s) be the second derivative of s**4 - 35*s**3/2 + 201*s**2/2 - 2*s. Let k(p) = -3*p**2 + 26*p - 50. Let n(b) = -9*k(b) - 2*t(b). Solve n(u) = 0 for u.
4
Let w(h) be the third derivative of 0*h**4 + 0 - 1/1050*h**7 - 7*h**2 + 0*h**3 + 0*h**6 + 1/300*h**5 + 0*h. Find g such that w(g) = 0.
-1, 0, 1
Factor 0*j + 18633*j**2 + 0*j - 2*j**3 - 18581*j**2.
-2*j**2*(j - 26)
Let k(a) = -41*a**2 + 527*a - 15571. Let y(q) = 13*q**2 - 174*q + 5190. Let d(b) = -6*k(b) - 19*y(b). Factor d(f).
-(f - 72)**2
Let v(j) be the first derivative of 0*j**2 - j**4 + 2/5*j**5 + 0*j**3 - 19 + 0*j. Factor v(a).
2*a**3*(a - 2)
Let h(m) be the first derivative of -10*m**2 + 5/4*m**4 + m**5 + 40*m + 12 - 10*m**3. Factor h(g).
5*(g - 2)*(g - 1)*(g + 2)**2
Factor -63*j**2 - 117*j**2 + 378*j**3 - 12*j + 18*j + 18*j - 147*j**4.
-3*j*(j - 2)*(7*j - 2)**2
Let x = -83 + 47. Let d = x + 145/4. Factor -1/4*b + d*b**3 + 0 + 0*b**2.
b*(b - 1)*(b + 1)/4
Suppose 13*f = 30*f. Let u(x) be the third derivative of 1/24*x**4 + f - 1/30*x**5 + 0*x**3 - 2*x**2 + 0*x + 1/120*x**6. Let u(t) = 0. What is t?
0, 1
Suppose 21 = j + 2*j - 3*d, 0 = 3*j + 5*d - 13. Factor -8*v - j*v + 6*v - 5 - 2*v - 5*v**2.
-5*(v + 1)**2
Let n(w) be the first derivative of 15*w**3 + 9*w**4 + 6*w**2 - 12/5*w**5 - 2 + 0*w. Factor n(h).
-3*h*(h - 4)*(2*h + 1)**2
Let c be 3/(6/16) + -45 + 2233/58. Suppose 0 = -6*v + 4*v. Factor v - c*p + 9/4*p**2.
3*p*(3*p - 2)/4
Let f be (-2)/(-5)*(-2 - 203). Let c = 250/3 + f. Factor 1/3*w**2 + c*w + 4/3.
(w + 2)**2/3
Suppose 0*b = 3*b - 2*l - 2, -b + 10 = 4*l. Factor 8*q**b - 4*q**3 - 10*q**2 + 0*q**2 + 3*q + q**5 + 0*q**3 + 2.
(q - 2)*(q - 1)*(q + 1)**3
Find w such that 23*w**2 + 20*w**2 + 16*w - 39*w**2 = 0.
-4, 0
Suppose -2*u + 9 = -1. Find g such that u + 32*g + 2*g**2 + 8*g**2 + 54*g**2 - 1 = 0.
-1/4
Let k be (3 - (-88)/(0 + -8))/(14/(-12)). Solve -k*y**4 + 0 + 3/7*y - 24/7*y**2 + 54/7*y**3 + 15/7*y**5 = 0 for y.
0, 1/5, 1
Let b(c) be the first derivative of -2/21*c**3 + 1/35*c**5 + 9/7*c - 6/7*c**2 - 4 + 1/7*c**4. Let b(j) = 0. Calculate j.
-3, 1
Let -23/5*z**2 + 71/10*z**3 + 1/10*z**5 + 0*z + 0 - 13/5*z**4 = 0. Calculate z.
0, 1, 2, 23
Suppose -98*p + 1689 = 1689. Suppose -1/4*t**3 - 3/4*t**2 + p - 1/2*t = 0. Calculate t.
-2, -1, 0
Factor -2*o**2 + 355 - 10*o + 4*o**2 - 347.
2*(o - 4)*(o - 1)
Let y(l) be the second derivative of 3*l**5/10 + 31*l**4/4 + 43*l**3/2 + 21*l**2 - 505*l. Solve y(n) = 0 for n.
-14, -1, -1/2
Let n(i) be the first derivative of i**3/9 + i**2/2 - 4*i/3 - 18. Factor n(g).
(g - 1)*(g + 4)/3
Let b(d) = 2*d**2 + 2*d - 1. Let n(p) = 11*p**2 + 6*p + 10. Let i(m) = 6*b(m) - n(m). Factor i(j).
(j - 2)*(j + 8)
Let r(p) be the first derivative of -3*p**5/160 + p**3/16 - 7*p - 10. Let n(z) be the first derivative of r(z). Solve n(b) = 0.
-1, 0, 1
Factor -44/9 + 2/9*h**2 - 2*h.
2*(h - 11)*(h + 2)/9
Let k = -6206 + 12413/2. Solve -3/2*d + k*d**2 + 1 = 0.
1, 2
Let t(i) be the third derivative of 363*i**5/40 + 77*i**4/4 + 49*i**3/3 - 338*i**2. Factor t(b).
(33*b + 14)**2/2
Factor 3*a + 5214*a**2 - 2609*a**2 + a - 2607*a**2.
-2*a*(a - 2)
Let k(b) be the second derivative of b**7/84 - b**6/20 + b**5/20 - 127*b. Solve k(s) = 0 for s.
0, 1, 2
Let h be ((-6)/9)/((-12)/(-18)). Let a be (1 + 15/(-12))*h. Factor 0 + 1/2*v - a*v**2 - 1/4*v**3.
-v*(v - 1)*(v + 2)/4
Suppose -133/2*q**2 - 38*q**3 + 3/2*q**4 + 0 - 27*q = 0. What is q?
-1, -2/3, 0, 27
Let z be -27*(-9)/(-108)*11/(-21). Let m = z + -3/7. Factor 0*d - d**2 + m*d**4 + 0 - 1/4*d**5 + 0*d**3.
-d**2*(d - 2)**2*(d + 1)/4
Suppose 5*p = a - 15, 0 = -2*a + 3*p + p + 60. Let g be -2 + a/15 - 0. Factor 2*j**4 + g*j**5 + 2*j**3 + 0 + 0*j + 2/3*j**2.
2*j**2*(j + 1)**3/3
Suppose 4 + 2 = 3*s. Let t be (-61)/(-671) + (-1327)/(-44). Determine a, given that -9/4*a - 1/2 - 6*a**4 + 13/2*a**s + t*a**3 - 28*a**5 = 0.
-1, -1/4, 2/7, 1
Let b(t) be the second derivative of -t**9/52920 - t**8/11760 - t**7/8820 - t**4/6 - 12*t. Let m(j) be the third derivative of b(j). Factor m(y).
-2*y**2*(y + 1)**2/7
Let d(n) be the first derivative of -n**5/90 + n**4/9 + 11*n**2/2 - 13. Let m(c) be the second derivative of d(c). Factor m(r).
-2*r*(r - 4)/3
Let f be 210/45*(-3*(-185)/315 - 1). Factor 16/9*q + 2/9*q**2 + f.
2*(q + 4)**2/9
Let s be ((-30)/28)/(18/(-7)). Let m(k) be the second derivative of s*k**3 - 2*k - 1/6*k**4 - 1/4*k**2 + 0. Suppose m(z) = 0. Calculate z.
1/4, 1
Suppose 0*t + 8 = -j - 4*t, t + 2 = 4*j. Factor 8*r**2 - 16*r - 4*r**3 + j*r**2 + 12*r.
-4*r*(r - 1)**2
Let k be -1 - (-11)/2 - (-2 + 5). Let p(t) be the first derivative of k*t + 1 + 1/6*t**3 + t**2. Factor p(d).
(d + 1)*(d + 3)/2
Let g(r) be the second derivative of -r**6/315 - 2*r**5/105 - r**4/63 + 4*r**3/63 + r**2/7 + 44*r. What is s in g(s) = 0?
-3, -1, 1
Suppose 4*j**3 + 0 + 2/3*j**5 + 2/3*j + 8/3*j**2 + 8/3*j**4 = 0. Calculate j.
-1, 0
Suppose -985*c + 1967*c = 949*c + 66. Factor 3/2*b**c + 2*b**3 + 1/2*b**4 - 2 - 2*b.
(b - 1)*(b + 1)*(b + 2)**2/2
Let s(t) be the third derivative of -t**6/540 + t**5/27 - t**4/4 + 2*t**3/3 + 5*t**2. Suppose s(x) = 0. What is x?
1, 3, 6
Suppose -7 = -10*l + 3*l. Suppose -3*u + 1 = l. Solve 3/7*h**4 + 3/7*h**3 + u*h**2 + 0*h + 0 = 0 for h.
-1, 0
Let w(z) be the second derivative of z**6/480 + z**5/120 + z**4/96 + 4*z**2 - 17*z. Let x(q) be the first derivative of w(q). Factor x(h).
h*(h + 1)**2/4
Suppose -4*t + 24 = 0, 2*t = s - 3 + 13. Factor -3/7*b**3 + 3/7*b**s + 0 + 6/7*b.
-3*b*(b - 2)*(b + 1)/7
Determine t, given that -3*t**3 - 11*t**3 - 9*t**3 - 310*t - 145*t**2 + 29*t**3 - t**3 = 0.
-2, 0, 31
Solve -152*a**2 - 7 + 7 + 148*a**2 - 20*a = 0.
-5, 0
Let z(a) be the second derivative o | {
"pile_set_name": "DM Mathematics"
} |
36889, -36892?
-36895
What is next in -40129, -40130, -40131?
-40132
What is the next term in 147, 673, 1511, 2655, 4099, 5837, 7863?
10171
What is next in -124, -74, 4, 122, 292, 526, 836?
1234
What comes next: -3681, -7367, -11053, -14739, -18425, -22111?
-25797
What comes next: -5415, -21648, -48703, -86580, -135279, -194800?
-265143
What comes next: 622, 592, 502, 322, 22, -428, -1058?
-1898
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-922
What is next in 3756, 3758, 3760, 3762, 3764?
3766
What is next in 4350, 17398, 39148, 69600, 108754, 156610, 213168?
278428
What is next in -648, -727, -930, -1317, -1948, -2883?
-4182
What is next in 1393, 1859, 2325, 2791, 3257, 3723?
4189
What comes next: -2369, -2476, -2617, -2810, -3073, -3424?
-3881
What comes next: -188951, -188953, -188955, -188957, -188959?
-188961
What is next in 185, 723, 1577, 2741, 4209, 5975?
8033
What comes next: -424, -1706, -3854, -6874, -10772?
-15554
What is next in 2095, 8213, 18361, 32545, 50771, 73045, 99373, 129761?
164215
What is next in -434, -600, -766, -932?
-1098
What comes next: 812, 3250, 7312, 12998, 20308?
29242
What is the next term in -3597465, -7194930, -10792395, -14389860?
-17987325
What is the next term in -2736, -10951, -24644, -43815, -68464, -98591?
-134196
What is next in 11195, 11244, 11309, 11396, 11511, 11660, 11849?
12084
What is next in 87, 162, 237, 312, 387?
462
What is the next term in 318, 1379, 3148, 5625, 8810?
12703
What comes next: 3715, 3721, 3727, 3733, 3739, 3745?
3751
What is next in -1374529, -1374528, -1374527, -1374526, -1374525?
-1374524
What is next in 3518, 3564, 3664, 3836, 4098?
4468
What is next in 68890, 551028, 1859690, 4408138, 8609634, 14877440?
23624818
What comes next: -7255, -7196, -7029, -6700, -6155, -5340?
-4201
What is the next term in 317563, 317572, 317583, 317596, 317611?
317628
What is the next term in 127, -228, -1543, -4298, -8973, -16048, -26003?
-39318
What is next in 263744, 263746, 263748, 263750, 263752?
263754
What is the next term in -476161, -476164, -476167, -476170, -476173?
-476176
What comes next: 48087, 96173, 144259, 192345, 240431?
288517
What is the next term in -16693, -16701, -16711, -16723?
-16737
What comes next: -12545, -12533, -12515, -12491?
-12461
What comes next: 538, 1169, 1822, 2497, 3194, 3913?
4654
What is next in -87, -61, -61, -99, -187, -337, -561, -871?
-1279
What comes next: -60249, -60253, -60257, -60261, -60265?
-60269
What comes next: 8, 142, 284, 434, 592, 758?
932
What is next in 183, 737, 1659, 2949?
4607
What is the next term in -5491, -10978, -16455, -21916, -27355, -32766, -38143?
-43480
What is the next term in -2067, -8362, -18855, -33546?
-52435
What is the next term in 101, 187, 269, 347, 421?
491
What is next in -109095, -436379, -981843, -1745481, -2727287, -3927255?
-5345379
What comes next: -18193, -17880, -17553, -17206, -16833, -16428, -15985?
-15498
What comes next: 1397, 11249, 37995, 90083, 175961, 304077?
482879
What comes next: -551437, -551434, -551429, -551422?
-551413
What is next in -3, -9, 49, 225, 573?
1147
What comes next: 4014, 6864, 9714, 12564, 15414?
18264
What is next in 7959, 7918, 7877, 7836, 7795, 7754?
7713
What is the next term in -21435, -42858, -64273, -85680?
-107079
What is next in 2931, 2914, 2897?
2880
What is the next term in -7620, -7556, -7510, -7488, -7496, -7540, -7626?
-7760
What is the next term in -4942, -19783, -44522, -79159, -123694?
-178127
What is the next term in -4261, -8513, -12765?
-17017
What comes next: -896, -3563, -8014, -14249, -22268, -32071, -43658?
-57029
What comes next: 521, 995, 1431, 1823, 2165, 2451?
2675
What is the next term in -360, -676, -898, -978, -868, -520?
114
What is next in 2287982, 4575961, 6863940?
9151919
What is next in -19019, -19009, -18999?
-18989
What comes next: -395, -466, -367, -14, 677, 1790, 3409?
5618
What is the next term in 674, 455, 236, 17, -202?
-421
What comes next: -172, -147, -106, -49, 24?
113
What comes next: 1326097, 2652192, 3978287?
5304382
What is next in -597, -594, -591, -588, -585?
-582
What is next in 2, 62, 166, 314?
506
What comes next: -71, -185, -349, -569, -851, -1201, -1625, -2129?
-2719
What is the next term in -1171, -2341, -3511?
-4681
What comes next: -643, -690, -737, -784, -831, -878?
-925
What comes next: 49286, 49417, 49548?
49679
What is next in -517, -1058, -1609, -2170, -2741, -3322, -3913?
-4514
What is next in 35, -132, -309, -496?
-693
What comes next: -24139, -24154, -24185, -24238, -24319?
-24434
What is next in -3738, -14895, -33492, -59529?
-93006
What is the next term in -724, -447, 320, 1823, 4308, 8021, 13208, 20115?
28988
What is next in 112897, 112899, 112905, 112915, 112929, 112947, 112969?
112995
What is next in -36, -321, -798, -1461, -2304, -3321, -4506, -5853?
-7356
What is next in -4241, -4258, -4293, -4352, -4441, -4566, -4733?
-4948
What is next in 1, 4, 3, 4, 13?
36
What is the next term in -1915, -1912, -1909, -1906?
-1903
What is the next term in 228304, 228303, 228302, 228301, 228300, 228299?
228298
What is the next term in -819, -6484, -21867, -51828, -101227, -174924, -277779, -414652?
-590403
What comes next: 191822, 191820, 191818?
191816
What is the next term in 5661, 11318, 16981, 22650?
28325
What is next in 20256, 40461, 60648, 80811, 100944, 121041, 141096, 161103?
181056
What comes next: -7096, -14192, -21286, -28378, -35468, -42556, -49642?
-56726
What is next in 30320, 30359, 30424, 30515, 30632?
30775
What is the next term in 320, 748, 1484, 2546, 3952, 5720, 7868, 10414?
13376
What comes next: -1105, -2185, -3255, -4309, -5341?
-6345
What is next in -18242, -36674, -55108, -73544, -91982?
-110422
What is the next term in -161709, -323456, -485203, -646950?
-808697
What is the next term in 1108, 1866, 2278, 2344, 2064, 1438?
466
What is next in -260, -1152, -2652, -4772, -7524?
-10920
What comes next: -66, -24, 22, 72, 126, 184, 246?
312
What is the next term in -284, -2330, -7890, -18722, -36584, -63234, -100430, -149930?
-213492
What is next in 4071, 32622, 110121, 261042, 509859, 881046?
1399077
What is next in 66, 64, 56, 42, 22?
-4
What is the next term in -7294, -7268, -7208, -7096, -6914, -6644, -6268, -5768?
-5126
What comes next: 12607, 25213, 37819, 50425, 63031, 75637?
88243
What is the next term in 360120, 360130, 360154, 360198, 360268, 360370, 360510?
360694
What is the next term in 197252, 394502, 591752, 789002, 986252?
1183502
What is next in 206762, 206754, 206742, 206726, 206706, 206682, 206654?
206622
What is next in 6672801, 6672802, 6672803, 6672804, 6672805, 6672806?
6672807
What is the next term in 72, 20, -100, -318, -664, -1168?
-1860
What is the next term in -1724, -7012, -15826, -28166, -44032?
-63424
What is next in -248, -555, -860, -1163, -1464, -1763, -2060?
-2355
What comes next: 100, 604, 1926, 4474, 8656, 14880?
23554
What comes next: 143, 403, 815, 1361, 2023, 2783, 3623, 4525?
5471
What is the next term in 1451, 5801, 13047, 23189, 36227?
52161
What comes next: -213, -472, -859, -1338, -1873, -2428?
-2967
What is next in -4983, -4978, -4973, -4968, -4963, -4958?
-4953
What is the next term in -178, -213, -274, -361, -474?
-613
What comes next: 26044, 52205, 78366, 104527, 130688, 156849?
183010
What is the next term in -1680, -1098, -516, 66, 648, 1230?
1812
What comes next: 46, 52, 64, 82, 106, 136, 172?
214
What comes next: 711, 149, -779, -2067, -3709, -5699?
-8031
What is next in 971, 1789, 2607, 3425, 4243?
5061
What is next in -1256523, -2513049, -3769575, -5026101, -6282627, -7539153?
-8795679
What comes next: -51, -357, -1183, -2787, -5427?
-9361
What comes next: -80, -67, -54, -41?
-28
What is the next term in 78247, 156493, 234737, 312979?
391219
What is the next term in 4190, 4247, 4342, 4475, 4646?
4855
What is next in 138, -26, -190, -354?
-518
What is next in -54, -143, -268, -429?
-626
What is the next term in 392, 975, 1554, 2129, 2700, 3267?
3830
What comes next: -440, -442, -436, -416, -376, -310?
-212
What is the next term in -218, -101, 28, 163, 298, 427, 544, 643?
718
What is next in -56740, -56742, -56744?
-56746
What is the next term in 2375, 2307, 2239, 2171, 2103, 2035?
1967
What is next in 1026, 1056, 1094, 1128, 1146, 1136?
10 | {
"pile_set_name": "DM Mathematics"
} |
2 + 20*t + 2
What is the x'th term of -7431, -7430, -7429, -7428, -7427, -7426?
x - 7432
What is the s'th term of -42, -82, -122, -162?
-40*s - 2
What is the o'th term of -29, -22, -13, -2, 11?
o**2 + 4*o - 34
What is the l'th term of -8696, -8694, -8690, -8684, -8676, -8666, -8654?
l**2 - l - 8696
What is the r'th term of -20694, -20695, -20696, -20697, -20698?
-r - 20693
What is the a'th term of 137, 140, 141, 140, 137, 132?
-a**2 + 6*a + 132
What is the r'th term of 64, 133, 202?
69*r - 5
What is the t'th term of -3, -16, -29, -42, -55, -68?
-13*t + 10
What is the k'th term of -12, -15, -24, -45, -84?
-k**3 + 3*k**2 - 5*k - 9
What is the d'th term of 666, 661, 652, 639?
-2*d**2 + d + 667
What is the b'th term of -4, 8, 34, 80, 152?
b**3 + b**2 + 2*b - 8
What is the k'th term of -3033, -6065, -9097, -12129?
-3032*k - 1
What is the l'th term of -1536, -1541, -1548, -1557?
-l**2 - 2*l - 1533
What is the q'th term of 122, 123, 124, 125?
q + 121
What is the y'th term of -368, -295, -224, -155, -88?
-y**2 + 76*y - 443
What is the f'th term of 967, 1934, 2901, 3868, 4835, 5802?
967*f
What is the m'th term of -23, -23, -13, 13, 61, 137, 247, 397?
m**3 - m**2 - 4*m - 19
What is the c'th term of -41, -46, -51?
-5*c - 36
What is the w'th term of -135, -138, -143, -150, -159?
-w**2 - 134
What is the f'th term of -737, -725, -705, -677, -641, -597, -545?
4*f**2 - 741
What is the o'th term of 210, 198, 174, 132, 66, -30?
-o**3 - 5*o + 216
What is the f'th term of -80, -78, -76, -74?
2*f - 82
What is the q'th term of -109, -111, -113, -115?
-2*q - 107
What is the n'th term of 285, 551, 807, 1047, 1265, 1455, 1611?
-n**3 + n**2 + 270*n + 15
What is the d'th term of 20, 102, 310, 704, 1344, 2290, 3602, 5340?
10*d**3 + 3*d**2 + 3*d + 4
What is the h'th term of -12, -49, -110, -195, -304?
-12*h**2 - h + 1
What is the h'th term of -130, -163, -196, -229, -262?
-33*h - 97
What is the r'th term of -22, -37, -52, -67, -82, -97?
-15*r - 7
What is the r'th term of -759, -1510, -2265, -3030, -3811, -4614, -5445?
-r**3 + 4*r**2 - 756*r - 6
What is the m'th term of -18289, -36576, -54863, -73150?
-18287*m - 2
What is the d'th term of 55, 112, 177, 256, 355?
d**3 - 2*d**2 + 56*d
What is the n'th term of -1102, -2206, -3310, -4414, -5518, -6622?
-1104*n + 2
What is the d'th term of 35, 65, 95, 125?
30*d + 5
What is the c'th term of 260, 508, 756, 1004, 1252, 1500?
248*c + 12
What is the d'th term of -112, -124, -152, -202, -280?
-d**3 - 2*d**2 + d - 110
What is the u'th term of 4199, 4198, 4197, 4196, 4195?
-u + 4200
What is the q'th term of -52, -68, -80, -88, -92?
2*q**2 - 22*q - 32
What is the o'th term of -925, -1845, -2763, -3679, -4593?
o**2 - 923*o - 3
What is the y'th term of 47, 66, 85?
19*y + 28
What is the t'th term of -5, -9, -9, -5, 3, 15?
2*t**2 - 10*t + 3
What is the u'th term of 28593, 28594, 28595, 28596, 28597, 28598?
u + 28592
What is the r'th term of -95, -442, -1019, -1826, -2863, -4130?
-115*r**2 - 2*r + 22
What is the n'th term of -8, -15, -30, -53, -84, -123, -170?
-4*n**2 + 5*n - 9
What is the a'th term of -6, -61, -120, -183, -250, -321, -396?
-2*a**2 - 49*a + 45
What is the o'th term of -23, -18, 1, 40, 105?
o**3 + o**2 - 5*o - 20
What is the m'th term of 167, 289, 411, 533, 655?
122*m + 45
What is the f'th term of -96, -489, -1136, -2031, -3168, -4541?
f**3 - 133*f**2 - f + 37
What is the a'th term of 0, 1, -4, -21, -56, -115, -204, -329?
-a**3 + 3*a**2 - a - 1
What is the o'th term of 174, 348, 522, 696?
174*o
What is the j'th term of 14, -13, -40, -67, -94, -121?
-27*j + 41
What is the i'th term of 3660, 7319, 10974, 14625?
-2*i**2 + 3665*i - 3
What is the f'th term of 841, 844, 847, 850, 853?
3*f + 838
What is the z'th term of 201, 202, 203, 204, 205, 206?
z + 200
What is the l'th term of -1055, -2108, -3161, -4214?
-1053*l - 2
What is the d'th term of -45, -86, -127, -168, -209?
-41*d - 4
What is the b'th term of 14, 50, 124, 248, 434, 694, 1040?
2*b**3 + 7*b**2 + b + 4
What is the h'th term of -17, -10, -3, 4, 11?
7*h - 24
What is the t'th term of -67, -62, -53, -40?
2*t**2 - t - 68
What is the n'th term of -9, -11, -11, -9, -5, 1, 9?
n**2 - 5*n - 5
What is the o'th term of -645, -651, -667, -699, -753, -835, -951?
-o**3 + o**2 - 2*o - 643
What is the f'th term of 17, -4, -47, -118, -223?
-f**3 - 5*f**2 + f + 22
What is the l'th term of 287, 376, 465, 554, 643?
89*l + 198
What is the v'th term of -2, 3, 12, 25, 42, 63, 88?
2*v**2 - v - 3
What is the c'th term of 42, 40, 38, 36?
-2*c + 44
What is the x'th term of 304, 344, 446, 640, 956, 1424?
5*x**3 + x**2 + 2*x + 296
What is the t'th term of 5277, 10555, 15833, 21111, 26389?
5278*t - 1
What is the n'th term of -262, -254, -230, -184, -110?
n**3 + 2*n**2 - 5*n - 260
What is the y'th term of -54, -60, -66, -72, -78?
-6*y - 48
What is the y'th term of 4, -15, -60, -143, -276, -471?
-2*y**3 - y**2 - 2*y + 9
What is the v'th term of -15, -5, 5?
10*v - 25
What is the i'th term of -193, -211, -257, -343, -481?
-2*i**3 - 2*i**2 + 2*i - 191
What is the l'th term of -189, -216, -243?
-27*l - 162
What is the u'th term of 116, 194, 276, 362, 452?
2*u**2 + 72*u + 42
What is the f'th term of 100, 102, 106, 112, 120?
f**2 - f + 100
What is the l'th term of 368, 724, 1080, 1436?
356*l + 12
What is the p'th term of -308, -320, -354, -422, -536?
-2*p**3 + p**2 - p - 306
What is the c'th term of 29, 30, 19, -10, -63, -146, -265?
-c**3 + 8*c + 22
What is the b'th term of 175, 349, 523?
174*b + 1
What is the c'th term of 106, 411, 920, 1633, 2550, 3671?
102*c**2 - c + 5
What is the l'th term of -1, 16, 33, 50?
17*l - 18
What is the f'th term of -117, -100, -71, -30, 23, 88, 165?
6*f**2 - f - 122
What is the d'th term of -38, -30, -22, -14, -6?
8*d - 46
What is the h'th term of 30, 60, 90, 120, 150?
30*h
What is the z'th term of 840, 1703, 2566?
863*z - 23
What is the d'th term of 36, 56, 76, 96, 116?
20*d + 16
What is the p'th term of 33, 138, 319, 576, 909, 1318, 1803?
38*p**2 - 9*p + 4
What is the n'th term of -33, -54, -75, -96?
-21*n - 12
What is the x'th term of -3495, -3489, -3481, -3471?
x**2 + 3*x - 3499
What is the n'th term of -153, -153, -163, -189, -237, -313, -423?
-n**3 + n**2 + 4*n - 157
What is the n'th term of -47, -46, -47, -50?
-n**2 + 4*n - 50
What is the o'th term of 231, 239, 251, 267, 287?
2*o**2 + 2*o + 227
What is the i'th term of 68, 182, 308, 452, 620, 818, 1052, 1328?
i**3 + 107*i - 40
What is the l'th term of 17, 34, 67, 122, 205?
l**3 + 2*l**2 + 4*l + 10
What is the z'th term of -4269, -4267, -4265, -4263?
2*z - 4271
What is the p'th term of 0, 6, 16, 30, 48, 70, 96?
2*p**2 - 2
What is the s'th term of 55, 118, 201, 310, 451?
s**3 + 4*s**2 + 44*s + 6
What is the n'th term of 2220, 4440, 6660, 8880?
2220*n
What is the c'th term of 317, 309, 297, 281, 261?
-2*c**2 - 2*c + 321
What is the p'th term of 2386, 2391, 2406, 2437, 2490, 2571?
p**3 - p**2 + p + 2385
What is the x'th term of -287, -294, -299, -302, -303, -302?
x**2 - 10*x - 278
What is the p'th term of -536, -2140, -4814, -8558, -13372?
-535*p**2 + p - 2
What is the m'th term of 379, 383, 387, 391, 395?
4*m + 375
What is the g'th term of 248, 200, 152, 104, 56, 8?
-48*g + 296
What is the g'th term of -58, -48, -32, -10, 18, 52?
3*g**2 + g - 62
What is the x'th term of 55, 44, 19, -26, -97, -200, -341?
-x**3 - x**2 - x + 58
What is the m'th term of 47, 49, 51, 53, 55?
2*m + 45
What is the i'th term of -20, -74, -224, -518, -1004?
-8*i**3 + 2*i - 14
What is the z'th term of -143, -305, -479, -671, -887?
-z**3 - 155*z + 13
What is the o'th term of 345, 688, 1031, 1374, 1717, 2060?
343*o + 2
What is the i'th term of 68, 77, 80, 71, 44, -7?
-i**3 + 3*i**2 + 7*i + 59
What is the v'th term of 31, 81, 163, 295, 495, 781, 1171, 1683?
3*v**3 - 2*v**2 + 35*v - 5
What is the n'th term of -596, -1187, -1792, -2417, -3068, -3751, -4472?
-n**3 - n**2 - 581*n - 13
What is the w'th term of 144, 209, 128, -171, -760, -1711?
-12*w**3 - w**2 + 152*w + 5
What is the f'th term of -206, -200, -190, -176, -158?
2*f**2 - 208
What is the m'th term of 2321, 2330, 2329, 2312, 2273, 2206?
-m**3 + m**2 + 13*m + 2308
What is the k'th term of -170, -159, -148, -143, -150, -175, -224, -303?
-k**3 + 6*k**2 - 175
What is the l'th term of -564, -573, - | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 21311?
101, 211
What are the prime factors of 2316?
2, 3, 193
List the prime factors of 38026.
2, 19013
List the prime factors of 43267.
7, 883
List the prime factors of 15397.
89, 173
List the prime factors of 6643.
7, 13, 73
What are the prime factors of 124?
2, 31
What are the prime factors of 1764?
2, 3, 7
What are the prime factors of 3839?
11, 349
List the prime factors of 744.
2, 3, 31
What are the prime factors of 3423?
3, 7, 163
What are the prime factors of 1533?
3, 7, 73
List the prime factors of 62221.
43, 1447
List the prime factors of 3730.
2, 5, 373
What are the prime factors of 1041?
3, 347
List the prime factors of 3025.
5, 11
List the prime factors of 199.
199
What are the prime factors of 1183?
7, 13
What are the prime factors of 7317?
3, 271
List the prime factors of 21540.
2, 3, 5, 359
What are the prime factors of 5107?
5107
List the prime factors of 6763.
6763
List the prime factors of 1281.
3, 7, 61
List the prime factors of 14534.
2, 13, 43
What are the prime factors of 2640?
2, 3, 5, 11
What are the prime factors of 355?
5, 71
List the prime factors of 4578.
2, 3, 7, 109
List the prime factors of 13609.
31, 439
List the prime factors of 2607.
3, 11, 79
List the prime factors of 16752.
2, 3, 349
List the prime factors of 1891.
31, 61
List the prime factors of 1016.
2, 127
List the prime factors of 316.
2, 79
What are the prime factors of 5552?
2, 347
List the prime factors of 45323.
61, 743
List the prime factors of 105192.
2, 3, 487
List the prime factors of 2878.
2, 1439
What are the prime factors of 28640?
2, 5, 179
What are the prime factors of 22153?
22153
What are the prime factors of 6386?
2, 31, 103
What are the prime factors of 6627?
3, 47
What are the prime factors of 2087?
2087
List the prime factors of 36679.
43, 853
What are the prime factors of 792?
2, 3, 11
What are the prime factors of 364?
2, 7, 13
List the prime factors of 463.
463
What are the prime factors of 9298?
2, 4649
List the prime factors of 2887.
2887
List the prime factors of 2928.
2, 3, 61
List the prime factors of 58896.
2, 3, 409
List the prime factors of 30302.
2, 109, 139
What are the prime factors of 13823?
23, 601
List the prime factors of 4575.
3, 5, 61
What are the prime factors of 140745?
3, 5, 11, 853
List the prime factors of 63680.
2, 5, 199
What are the prime factors of 3857?
7, 19, 29
List the prime factors of 465.
3, 5, 31
What are the prime factors of 32299?
32299
What are the prime factors of 877?
877
What are the prime factors of 1364?
2, 11, 31
List the prime factors of 81534.
2, 3, 107, 127
What are the prime factors of 941?
941
What are the prime factors of 172371?
3, 57457
What are the prime factors of 410?
2, 5, 41
List the prime factors of 11888.
2, 743
What are the prime factors of 360?
2, 3, 5
What are the prime factors of 1482?
2, 3, 13, 19
List the prime factors of 15779.
31, 509
What are the prime factors of 3464?
2, 433
List the prime factors of 1749.
3, 11, 53
List the prime factors of 7131.
3, 2377
List the prime factors of 19114.
2, 19, 503
What are the prime factors of 664?
2, 83
What are the prime factors of 4200?
2, 3, 5, 7
What are the prime factors of 1046?
2, 523
What are the prime factors of 7662?
2, 3, 1277
What are the prime factors of 821?
821
What are the prime factors of 5985?
3, 5, 7, 19
List the prime factors of 18830.
2, 5, 7, 269
What are the prime factors of 14442?
2, 3, 29, 83
List the prime factors of 860.
2, 5, 43
What are the prime factors of 28947?
3, 9649
List the prime factors of 10853.
10853
List the prime factors of 2648.
2, 331
What are the prime factors of 1516?
2, 379
List the prime factors of 5606.
2, 2803
What are the prime factors of 278?
2, 139
What are the prime factors of 904?
2, 113
List the prime factors of 3709.
3709
What are the prime factors of 82647?
3, 3061
What are the prime factors of 11560?
2, 5, 17
List the prime factors of 10870.
2, 5, 1087
List the prime factors of 48113.
13, 3701
What are the prime factors of 7074?
2, 3, 131
What are the prime factors of 944?
2, 59
List the prime factors of 2250.
2, 3, 5
List the prime factors of 54075.
3, 5, 7, 103
List the prime factors of 529.
23
List the prime factors of 30226.
2, 7, 17, 127
What are the prime factors of 4073?
4073
What are the prime factors of 1145?
5, 229
What are the prime factors of 113565?
3, 5, 67, 113
List the prime factors of 10015.
5, 2003
What are the prime factors of 2000?
2, 5
What are the prime factors of 933?
3, 311
List the prime factors of 724.
2, 181
What are the prime factors of 20352?
2, 3, 53
What are the prime factors of 745?
5, 149
List the prime factors of 24124.
2, 37, 163
What are the prime factors of 138298?
2, 69149
List the prime factors of 22664.
2, 2833
List the prime factors of 60515.
5, 7, 13, 19
What are the prime factors of 9767?
9767
What are the prime factors of 5567?
19, 293
What are the prime factors of 12832?
2, 401
What are the prime factors of 145693?
89, 1637
List the prime factors of 138602.
2, 37, 1873
List the prime factors of 49001.
19, 2579
List the prime factors of 466.
2, 233
What are the prime factors of 123233?
11, 17, 659
What are the prime factors of 5053?
31, 163
What are the prime factors of 2110?
2, 5, 211
List the prime factors of 29002.
2, 17, 853
What are the prime factors of 1356?
2, 3, 113
List the prime factors of 7025.
5, 281
What are the prime factors of 45525?
3, 5, 607
List the prime factors of 13095.
3, 5, 97
What are the prime factors of 40962?
2, 3, 6827
What are the prime factors of 2787?
3, 929
What are the prime factors of 3053?
43, 71
List the prime factors of 123991.
7, 17713
List the prime factors of 63791.
7, 13, 701
List the prime factors of 14443.
11, 13, 101
List the prime factors of 3618.
2, 3, 67
What are the prime factors of 144389?
7, 20627
List the prime factors of 85811.
11, 29, 269
What are the prime factors of 10908?
2, 3, 101
What are the prime factors of 4421?
4421
List the prime factors of 9294.
2, 3, 1549
List the prime factors of 1942.
2, 971
What are the prime factors of 1483?
1483
What are the prime factors of 33531?
3, 11177
List the prime factors of 5832.
2, 3
What are the prime factors of 152042?
2, 11, 6911
List the prime factors of 1103.
1103
What are the prime factors of 59286?
2, 3, 41, 241
What are the prime factors of 8455?
5, 19, 89
List the prime factors of 705.
3, 5, 47
What are the prime factors of 8423?
8423
What are the prime factors of 43434?
2, 3, 19, 127
List the prime factors of 16933.
7, 41, 59
What are the prime factors of 672?
2, 3, 7
List the prime factors of 36744.
2, 3, 1531
List the prime factors of 2245.
5, 449
List the prime factors of 58598.
2, 83, 353
What are the prime factors of 50328?
2, 3, 233
List the prime factors of 38613.
3, 61, 211
List the prime factors of 1484.
2, 7, 53
List the prime factors of 139344.
2, 3, 2903
List the prime factors of 5167.
5167
List the prime factors of 22317.
3, 43, 173
What are the prime factors of 26424?
2, 3, 367
List the prime factors of 411.
3, 137
List the prime factors of 111794.
2, 55897
List the prime factors of 29564.
2, 19, 389
What are the prime factors of 7022?
2, 3511
List the prime factors of 705.
3, 5, 47
What are the prime factors of 63082?
2, 31541
What are the prime factors of 12720?
2, 3, 5, 53
List the prime factors of 4155.
3, 5, 277
What are the prime factors of 10679?
59, 181
List the prime factors of 129.
3, 43
What are the prime factors of 1006?
2, 503
List the prime factors of 3672.
2, 3, 17
What are the prime factors of 15298?
2, 7649
List the prime factors of 57743.
7, 73, 113
List the prime factors of 82235.
5, 16447
What are the prime factors of 65985?
3, 5, 53, 83
What are the prime factors of 1386?
2, 3, 7, 11
List the prime factors of 5953.
5953
List the prime factors of 686.
2, 7
What are the prime factors of 12784?
2, 17, 47
List the prime factors of 70747.
263, 269
What are the prime factors of 4709?
17, 277
What are the prime factors of 1601?
1601
What are the prime factors of 4914?
2, 3, 7, 13
What are the prime factors of 5360?
2, 5, 67
List the prime factors of 27452.
2, 6863
What are the prime factors of 126172?
2, 31543
What are the prime factors of 30708?
2, 3, 853
What a | {
"pile_set_name": "DM Mathematics"
} |
et n = j - -70. Suppose n*g - 788 = -t, -682 = -5*g - 5*t + 118. List the prime factors of g.
157
Let v(f) = 185*f**2 + 48*f + 704. List the prime factors of v(20).
2, 4729
Suppose 2*b - 2*a - a = -8, 10 = -5*a. Let c(m) = 5*m + 38. Let h be c(b). Suppose o + z - 71 = 0, -h*o + 135 = -4*z - 113. What are the prime factors of o?
2, 19
Let x = 2111 + 5196. What are the prime factors of x?
7307
Suppose 0 = c - o - 15, -3*c = -6*o + 4*o - 41. Suppose c*u - 734 = 421. What are the prime factors of u?
3, 5, 7
Suppose 481*h - 12354905 - 12894709 = 0. What are the prime factors of h?
2, 3, 13, 673
Suppose 29*r + 5382 = 23*r. Let k = -507 - r. What are the prime factors of k?
2, 3, 5, 13
Suppose 26 = 5*a - 3*a + 5*r, 3*a - 2*r = 1. Let z(l) = -22*l**2 - 2*l - 1. Let j be z(-2). What are the prime factors of j/(-3)*a - (-9)/3?
2, 11
Suppose 4*n + n + 47090 = 4*p, 5*p - 58848 = -n. Suppose 73*j - 83*j + p = 0. What are the prime factors of j?
11, 107
Suppose -2*b + 5*b - 2193 = -2*s, -2*s + 3*b + 2175 = 0. Suppose -3*y - 4*n + 1068 = -0*n, -3*y + 4*n = -s. Let q = -205 + y. List the prime factors of q.
5, 31
Let u(q) = 9 - 15*q - 10 + 18*q - 3 + 46*q**2. Suppose -m - 4*m + 5 = 0. List the prime factors of u(m).
3, 5
Let i(k) = k**3 + 11*k**2 + k - 31. Let l be i(-8). List the prime factors of -48*(34/l - 32/9).
2, 5
Let r(s) = 68*s + 1719. List the prime factors of r(29).
3691
Let s = -158 + 188. Suppose 95*f = s*f + 17680. What are the prime factors of f?
2, 17
Suppose 2*o = 8, 4*o = 3*x - 4*x + 14744. List the prime factors of x.
2, 7, 263
Let w(h) be the first derivative of h**4/2 + h**3/3 - 7*h**2 + 19*h - 20. What are the prime factors of w(6)?
13, 31
Suppose 4*v - 2*c = 164, -3*c = -0*v - 5*v + 206. Suppose -2*h + v = -0. What are the prime factors of (-274)/(-8) + h/(-16)?
3, 11
Suppose -135936 - 91599 = -33*j. List the prime factors of j.
5, 7, 197
Suppose j - 26 = -5*g, -4*j + 95 = -2*g - 53. Suppose -14*b + 17*b = j. List the prime factors of b/(-30) - ((-1928)/(-10))/(-2).
2, 3
List the prime factors of (1 - 0)/((-1)/(-5797)).
11, 17, 31
Let i = 17892 - 7389. What are the prime factors of i?
3, 389
Let u = -3794 + 5549. List the prime factors of u.
3, 5, 13
Suppose -y + 19 = 90. Let o = 68 + y. List the prime factors of (-7 - -4)/(o/169).
13
Let f = 29 - -39. Let n = f - 70. What are the prime factors of ((-1)/n)/((-2931)/(-732) + -4)?
2, 61
Suppose 0 = 3*x - 9 - 0. Suppose 8*d = x*d. Suppose 0*m - 5*m + 200 = d. List the prime factors of m.
2, 5
Let c = -278 - -510. Suppose 0 = 7*f - 3*f + 20, 0 = -q + 4*f - 135. Let a = q + c. What are the prime factors of a?
7, 11
Let q = 523 + -504. Suppose -q*l = 496 - 2852. What are the prime factors of l?
2, 31
Suppose 49438 = 4*m - 2*g, -39*m = -43*m + 4*g + 49448. What are the prime factors of m?
3, 1373
Suppose -27*x + 264795 = 83192 - 117503. List the prime factors of x.
2, 29, 191
Suppose 3*c - 2476 = -577. Let t be c/(2 + (-9)/6). Suppose 13*a - 7*a = t. What are the prime factors of a?
211
What are the prime factors of 4641 - (1 + 4) - (-8 + 14)?
2, 5, 463
List the prime factors of (291 - 247)*(-3)/(-12)*2707.
11, 2707
Suppose -30 = -8*y + 2. Suppose -y*k - 3 = 97. What are the prime factors of (-10)/k - 366/(-10)?
37
Let j = -8397 - -28298. List the prime factors of j.
7, 2843
Let j = 496 + -477. Suppose 2612 = -17*c + j*c. List the prime factors of c.
2, 653
Suppose -21060 = -32*c + 22*c. List the prime factors of 96/(-24)*(c/(-8) - -1).
1049
Let d be 333/(-74)*4/(-9). Suppose -3*i - 4*m + 1774 = -d*m, -i + 593 = -m. What are the prime factors of i?
2, 37
Suppose -30702 = -5*r + 10628. What are the prime factors of r?
2, 4133
Let f(v) = 3*v**3 - v**2 - 70. Let b be f(0). List the prime factors of (-1)/(-10) + 9*(-3647)/b.
7, 67
Let l = -126 - -74. List the prime factors of (12558/l)/(4/((-32)/6)).
2, 7, 23
Let d(u) = u**3 + 11*u**2 - 6*u + 19. Let i(b) = -4*b - 3. Let g(h) = -5*h - 3. Let l(v) = -3*g(v) + 2*i(v). Let r be l(-2). What are the prime factors of d(r)?
5, 17
Let f(o) = 3*o**2 - 347*o - 287. List the prime factors of f(147).
7, 1933
Suppose -127844 - 189127 = -41*l. What are the prime factors of l?
3, 859
Let w be 3/15 - 57/(-15). Suppose w*s = -o - 40, 4*s = -11*o + 9*o - 88. List the prime factors of (-1 + 138/(-8))/(o/192).
73
Let q(j) = -22*j - 16 + 14*j**2 + 0 + 19*j. What are the prime factors of q(-5)?
349
Suppose -4*z + 12 = 4*d, 4 = d - 2*z + 1. Suppose -10*s + 6*s + 2*m = -2550, 5*s + d*m = 3160. List the prime factors of s.
5, 127
Suppose 0 = a - 11*a - 100. Let t(j) = j**2 + 4*j - 23. Let r be t(a). Let g = r + 12. List the prime factors of g.
7
Let v = 2142 + 406. Suppose 0 = -5*z + 3617 + v. List the prime factors of z.
3, 137
Suppose -52*g = -127974 - 210026. Suppose 4*i + 6502 = 2*t + 3*t, -5*t + 5*i = -g. What are the prime factors of t?
2, 3, 7, 31
Let h(k) = -k**3 + 7*k**2 - 4*k - 9. Let i be h(6). Suppose -15 = y + 4*w, -5*y - 6 - i = -2*w. Let c = 47 + y. What are the prime factors of c?
2, 11
List the prime factors of (-510572)/(-11) - (-3816)/(-2332).
2, 23, 1009
Let r = -837 - -1177. What are the prime factors of r?
2, 5, 17
Let u = -171 - -157. Let i(r) = -74*r - 114. What are the prime factors of i(u)?
2, 461
Suppose -6*t + 106*t = 584300. List the prime factors of t.
5843
Suppose 6*n = -2825 + 38579. What are the prime factors of n?
59, 101
List the prime factors of (27 - 29)*(325584/(-10) + (-12)/(-30)).
2, 73, 223
Let y(z) = -2*z + 19. Let u be y(8). Suppose -u*p + 237 = -0*p. Let s = p + 2. List the prime factors of s.
3
Let v = 306 + -302. Suppose v*k = 146 + 694. List the prime factors of k.
2, 3, 5, 7
Let l = 55 + -54. Suppose 4*f - 3 = 2*h - l, f = -4*h + 5. What are the prime factors of 240/3*h - (1 - 1)?
2, 5
Suppose -45*u = -41*u - 4960. Suppose -u + 85 = -5*s. What are the prime factors of s?
3, 7, 11
Let n(x) = 1 - 8*x - 6*x**3 - 31*x**2 - x**3 - 6*x + 4 + 22*x**2. List the prime factors of n(-5).
5, 29
Let b(d) = -d**3 + 3*d**2 - 3*d + 1. Let k be b(3). List the prime factors of k/(-1 + 3) + 31.
3
Let x be 28/(-70) - (-4)/10. Suppose s + x*t - 116 = 3*t, -4*t = 3*s - 400. Let g = s + -92. List the prime factors of g.
2, 3
Suppose -205*c + 95358 = -67*c. List the prime factors of c.
691
Suppose 316 = 18*v - 80. Suppose 21*t + v*t - 39818 = 0. List the prime factors of t.
2, 463
Suppose -w = -2*n - 5829, -107*w = -108*w + n + 5825. What are the prime factors of w?
5821
Let a(v) = 6*v + 2. Let d be a(1). Suppose -6034 = d*s - 15642. List the prime factors of s.
1201
Suppose 3*x - n - 2090 = 0, -2*x + 3*n + 1127 = -278. Suppose -4*m + 9*m = x. List the prime factors of m.
139
Suppose 5*r - 25 = -2*c, 0*r - 77 = -4*c - r. List the prime factors of (-24)/c - (-6962)/10.
5, 139
Suppose 5*w - 2 = 2*t, -3*t - 8*w = -3*w - 22. Suppose 3*l = -4*d + 507, -t*l - 192 = -2*d + 34. What are the prime factors of d?
3, 41
Let h be (1*(0 + -2))/(8/424). Let m = -101 - h. Suppose -4*u - 2*p = -218, 0*p - m*p = 4*u - 209. What are the prime factors of u?
2, 7
Let t(u) = u**3 - 6*u**2 - 3*u + 9. Let i(w) = w**3 - 5*w**2 - 12*w - 8. Let y be i(7). Let s be t(y). What are the prime factors of (78/s - 1)/(5/(-45))?
3, 29
List the prime factors of 6745321/1179 - (-4)/(-18).
3, 1907
Suppose -1124060 = -75*r + 26*r. What are the prime factors of r?
2, 5, 31, 37
Suppose 27010 + 9146 = 5*q + 3686. What are the prime factors of q?
2, 17, 191
Let l(d) = -d**3 - 15*d**2 + 36*d + 45. Let v be l(-17). Suppose 0*k + 99 = 3*k. Let f = v + k. List the prime factors of f.
2, 11
Suppose -5*q + 2*b + b + 1872 = 0, -749 = -2*q + b. Suppose -4*n + 817 = -q. List the prime factors of n.
2, 149
Let n = 136 + -133. Suppose 0 = -3*y - 2*c - n*c + 2918, 2*y = -3*c + 1946. List the prime factors of y.
2, 61
Suppose 4*c - 80 = -c - 5*n, -5*c + 3*n + 40 = 0. Suppose 12*h - 432 = c*h. What are the prime factors of h?
2, 3
Suppose -21*o + 49 = -35. Suppose -5*m + m + 788 = o*b, -4*m - 207 = -b. List the prime factors of b.
199
Suppose 3*w = n + 7, 0 = 2*w - 3*n - 2 + 9. Suppose -29 = h - y, w*h - h + 3*y = -63. What are the prime factors of 164/10 + 10/h?
2
Let i be (-18)/(-4)*4236/18. Let u = i + -514. Suppose -3*x = l - 335, 0*x - 5*l + u = 5*x. What are the prime factors of x?
113
Suppose | {
"pile_set_name": "DM Mathematics"
} |
Calculate k(-4).
56
Let u(y) = 1161*y + 2326. Calculate u(-2).
4
Let b(t) = -31*t - 307. Give b(-8).
-59
Let q(b) = -4*b**2 - 71*b - 50. Determine q(-17).
1
Let k(o) = 1138*o + 14800. Calculate k(-13).
6
Let l(v) = -369*v + 2962. Give l(8).
10
Let a(f) = f**3 + 15*f**2 - 33*f + 33. What is a(-17)?
16
Let t(m) = -41*m - 50. Determine t(-2).
32
Let n(f) = -649*f**2 + 1298*f - 1. Give n(2).
-1
Let q(v) = 3*v**3 - 32*v**2 + 15*v + 60. Calculate q(10).
10
Let a(p) = -p**3 + 16*p**2 - 38*p - 34. Give a(16).
-642
Let n(k) = 2*k**3 - 278*k**2 + 282*k - 858. Determine n(138).
-30
Let c(f) = -f**3 + 34*f**2 - 100*f + 197. What is c(31)?
-20
Let s(a) = -1937*a + 1932. What is s(1)?
-5
Let o(t) = -9*t**3 - 64*t**2 - 32*t - 184. Determine o(-7).
-9
Let a(p) = 14*p**2 - 98*p - 198. Determine a(-2).
54
Let l(n) = n**2 + 1371*n + 350546. Determine l(-340).
6
Let s(x) = 3*x**3 + 24*x**2 + 12*x + 20. What is s(-7)?
83
Let g(m) = -24*m**2 - 118*m + 361. What is g(3)?
-209
Let l(h) = -2*h**3 - 8*h**2 + 12*h - 63. What is l(-7)?
147
Let m(k) = -k**3 + 41*k**2 - 109*k - 199. What is m(38)?
-9
Let y(i) = -4*i**3 + 892*i**2 + 5494*i + 458. Determine y(229).
0
Let t(w) = 63*w + 10912. Calculate t(-173).
13
Let g(u) = -75*u - 2333. What is g(-30)?
-83
Let b(f) = f**3 - 70*f**2 + 499*f - 202. Calculate b(62).
-16
Let u(c) = c**2 - 130. Give u(12).
14
Let v(d) = -d**3 + 35*d**2 + 112*d + 77. Give v(38).
1
Let t(i) = i**2 + 164*i + 6478. Give t(-67).
-21
Let k(j) = 10616*j - 53047. What is k(5)?
33
Let a(w) = 6*w - 61. Determine a(-7).
-103
Let v(t) = t**2 + 36*t + 224. What is v(-13)?
-75
Let z(f) = 2*f**3 + 2*f**2 + 30*f + 123. Give z(-3).
-3
Let y(n) = -n**2 + 39*n + 602. What is y(-12)?
-10
Let x(f) = -2*f**3 - 98*f**2 - 2*f - 107. Give x(-49).
-9
Let s(x) = -3*x**2 - 69*x - 389. Calculate s(-10).
1
Let f(o) = -2*o**2 - 131*o - 12. Give f(0).
-12
Let p(o) = 22*o**3 - 8*o**2 - 18*o + 8. What is p(-2)?
-164
Let q(w) = 321*w**2 + 28*w + 27. What is q(-1)?
320
Let b(a) = a - 88. Give b(-8).
-96
Let a(w) = 30*w**2 - 116*w - 3. Give a(4).
13
Let y(p) = -31*p - 295. Determine y(-17).
232
Let u(n) = -507*n - 166296. Determine u(-328).
0
Let n(u) = -u**3 - 28*u**2 - 39*u + 15. Determine n(-27).
339
Let l(n) = n**3 + 8*n**2 - 42*n + 90. What is l(-12)?
18
Let s(p) = p**3 + 28*p**2 - 429*p - 7. Give s(-39).
-7
Let p(z) = -41*z**2 - 21*z - 12. What is p(-6)?
-1362
Let y(n) = -3*n**2 + 43*n - 17. Determine y(13).
35
Let k(i) = 2*i**3 + 34*i**2 + 49*i + 226. Give k(-16).
-46
Let g(i) = i**3 + 62*i**2 + 180*i + 178. Give g(-59).
1
Let k(b) = 7*b + 466. What is k(-58)?
60
Let p(b) = -3*b**2 + 4*b - 83. Give p(11).
-402
Let y(v) = -v**3 - 3*v**2 + 89*v - 4. What is y(8)?
4
Let o(r) = 4*r**2 - 37*r + 71. Calculate o(6).
-7
Let k(j) = -j**2 + 112*j + 657. Calculate k(-5).
72
Let m(z) = -z**3 - 8*z**2 + 16*z + 145. What is m(-8)?
17
Let p(g) = g**3 + 4*g**2 - 3*g - 7. What is p(2)?
11
Let u(f) = f**3 + 18*f**2 + 19*f + 23. Determine u(-17).
-11
Let u(p) = -p**2 + 3*p - 212. Give u(11).
-300
Let d(z) = -z**2 + 221*z - 12059. Calculate d(101).
61
Let z(p) = -39*p - 415. What is z(-5)?
-220
Let y(q) = -q**3 - 11*q**2 - 20*q - 17. Determine y(-10).
83
Let z(n) = n**3 - 10*n**2 + 10*n - 39. Determine z(4).
-95
Let h(u) = -10*u**2 + 754*u - 308. Give h(75).
-8
Let k(t) = -2*t**3 - 35*t**2 - 18*t. Determine k(-17).
17
Let g(x) = x**3 - 26*x**2 - 153*x - 63. Calculate g(31).
-1
Let n(o) = o**2 + 24*o - 344. Determine n(10).
-4
Let o(b) = 3*b**3 - 20*b**2 - b + 30. Calculate o(8).
278
Let w(m) = -5*m**2 + 465*m - 3011. Give w(86).
-1
Let l(b) = -1101*b**2 - 2204*b + 3. Give l(-2).
7
Let f(d) = -27*d + 624. Give f(23).
3
Let q(x) = x**3 + 7*x**2 - 235*x + 80. Give q(12).
-4
Let k(j) = -12147*j - 60707. What is k(-5)?
28
Let i(a) = 239*a - 467. Calculate i(2).
11
Let j(t) = -239*t + 2848. Calculate j(12).
-20
Let j(g) = -2*g**2 - 26*g + 186. Give j(-18).
6
Let v(r) = -r**3 - 6*r**2 - 6*r - 4. Give v(-4).
-12
Let x(a) = 77*a**2 + 221*a + 151. Give x(-1).
7
Let v(m) = -m**3 + 23*m**2 - 97*m - 87. Determine v(17).
-2
Let x(l) = l**3 + 14*l**2 + 78. Determine x(-14).
78
Let p(t) = 458*t - 37559. Calculate p(82).
-3
Let x(p) = -2*p**3 - 96*p**2 - 9*p - 399. Give x(-48).
33
Let j(v) = 6*v**2 + 103*v + 385. Calculate j(-12).
13
Let i(f) = 11*f**2 - 320*f + 63. What is i(29)?
34
Let u(v) = -v**2 + 16*v + 406. Determine u(23).
245
Let o(t) = t**3 - 18*t**2 - 170*t + 38. Determine o(-7).
3
Let i(a) = -78*a + 8341. Calculate i(107).
-5
Let d(h) = -h**2 - 40*h - 371. Calculate d(-18).
25
Let p(w) = 47*w + 3608. What is p(-76)?
36
Let v(y) = 5*y + 310. What is v(-36)?
130
Let s(a) = -205*a + 4294. What is s(21)?
-11
Let b(f) = -f**2 - 102*f + 205. Determine b(2).
-3
Let d(h) = -h**3 - 93*h**2 + 1027*h - 320. Give d(-103).
-11
Let f(p) = p**3 - 4*p - 45. Determine f(0).
-45
Let n(x) = -67*x**2 + 17*x + 3. Determine n(-2).
-299
Let o(h) = 5*h + 95. Determine o(-13).
30
Let d(k) = -19*k**3 + 2*k**2 + 3*k + 5. Determine d(-2).
159
Let x(o) = 10783*o + 53905. Calculate x(-5).
-10
Let c(m) = m**2 - 32*m + 118. Give c(24).
-74
Let y(k) = 2*k**2 + 39*k + 280. What is y(-10)?
90
Let q(z) = 6*z**2 + 11*z + 48. Give q(-5).
143
Let l(m) = 2*m**2 + 251*m + 5256. Calculate l(-99).
9
Let k(x) = -x**3 + 12*x**2 + 88*x - 150. Calculate k(17).
-99
Let x(d) = -d**3 - 174*d**2 - 2098*d - 72. Calculate x(-13).
-7
Let b(l) = 138*l**2 + l - 2. Determine b(2).
552
Let g(n) = -10*n**2 + 10*n + 2. Determine g(-1).
-18
Let q(p) = -1868*p - 11211. Calculate q(-6).
-3
Let m(h) = 2*h**3 + 25*h**2 - 12*h - 23. Determine m(-13).
-36
Let t(c) = -6*c + 213. Give t(17).
111
Let y(d) = -47*d + 651. Give y(10).
181
Let h(w) = 2*w**3 - 106*w**2 - 224*w + 18. Calculate h(55).
-202
Let w(p) = p**3 + 3*p**2 - 30*p + 14. Calculate w(-7).
28
Let w(o) = -51*o + 3460. Calculate w(67).
43
Let t(n) = n**3 - 33*n**2 + 138*n + 17. What is t(5)?
7
Let s(j) = -209*j + 1062. Determine s(7).
-401
Let t(i) = -i**2 - 63*i + 725. Give t(-73).
-5
Let y(p) = 2134*p + 4251. What is y(-2)?
-17
Let h(y) = -150*y - 2137. Give h(-14).
-37
Let d(k) = 1932*k - 1886. What is d(1)?
46
Let u(g) = -33*g - 5. Calculate u(-2).
61
Let w(c) = 651*c + 7806. Give w(-12).
-6
Let c(n) = n**2 + 8*n - 110. Calculate c(-19).
99
Let y(f) = f**3 - 48*f**2 - 58*f + 269. Calculate y(49).
-172
Let h(t) = -t**3 - 11*t**2 + t + 149. Give h(-12).
281
Let k(b) = -19*b**2 + 79*b + 9. Calculate k(5).
-71
Let l(q) = 5*q**2 + 165*q - 52. Calculate l(-33).
-52
Let b(v) = 1556*v + 4673. Determine b(-3).
5
Let y(j) = j**2 - 40*j - 1815. Give y(67).
-6
Let h(t) = 109*t + 64. Determine h(-3).
-263
Let i(w) = 2*w**3 + 23*w**2 - 76*w - 68. Calculate i(-14).
16
Let i(h) = 95*h**2 + 3*h + 13. Determine i(-1).
105
Let s(t) = -t**2 + 29*t + 49. What is s(29)?
49
Let m(z) = z**2 + 11*z + 135. What is m(-8)?
111
Let p(d) = -2*d**3 - 89*d**2 - 832*d + 69. Determine p(-31).
-86
Let n(g) = -24*g**3 - 4*g**2 - 7*g - 3. What is n(-2)?
187
Let t(v) = v**3 - 14*v**2 - 25*v + 52. What is t(15)?
-98
Let c(w) = -w**3 + 151*w**2 - 3168*w + 2263. Calculate c(126).
-5
Let w(f) = -f**2 - 3274*f + 42724. What is w(13)?
-7
Let b(y) = y**3 - 25*y**2 - 270*y + 7310. Calculate b(23).
42
Let b(y) = y**2 - y - 148. Determine b(9).
-76
Let h(r) = 11*r + 207. Determine h(-18).
9
Let v(h) = 38*h**3 - 51*h + 53. Give v(1).
40
Let f(u) = -11*u**2 - u + 101. Determine f(3).
-1
Let n(j) = 13*j + 1030. What is n(-83)?
-49
Let m(f) = 1261*f - 18921. Determine m(15).
-6
Let j(c) = c**2 + 35*c + 254. Determine j(-8).
38
Let o(t) = -t**3 - 8*t**2 - 8*t - 13. What is o(-6)?
-37
Let c(y) = y**2 - 40*y - 390. What is c(51)?
171
Let p(z) = -5*z**2 + 203*z - 27. What is p(40)?
93
Let m(q) = 4*q**3 + 2*q**2 - 3*q - 1. Give m(1).
2
Let o(r) = -r**3 + 21*r + 23. Determine o(-3).
-13
Let f(j) = -20*j + 675. Calculate f(31).
55
Let u(x) = 31*x**2 + 401*x - 21. Determine u(-13).
5
Let r(n) = 100*n - 108. Give r(3).
192
Let w(l) = -l**2 - 51*l - 408. Give w(-9).
-30
Let a(g) = -4*g**3 + 35*g**2 - 26*g + 34. Give a(8).
18
Let n(i) = i**3 - 116*i**2 - 63*i - 6309. Give n(117).
9
Let u(k) = k**2 + 3991*k - 177545. Give u(44).
-5
Let g(t) = -t**3 + 15*t**2 - 4*t - 146. Calculate g(14).
-6
Let a(d) = -d**2 - 38*d + 372. Calculate a(8).
4
Let o(v) = 328*v + 2 | {
"pile_set_name": "DM Mathematics"
} |
g(k)?
-7
Let c(l) = l**2 + 6. Let o(s) be the second derivative of -s**3/3 - 3*s. Let n be o(-2). Suppose -n*y = -y. Determine c(y).
6
Let t(h) = h**3 + 8*h**2 + 2. Let o be t(-8). Suppose 11 = 3*b + 3*x + 2, -2*b = -o*x - 6. Let l(q) = -3*q. Give l(b).
-9
Let t(u) = -37*u + 20*u - 4 - 5 + u**3 + 8*u + 5*u**2. Determine t(-6).
9
Let r(n) be the third derivative of n**3/6 - 2*n**2. Suppose -2*a + 20 = -2*w, 18 = a - w - 2*w. Let b(k) = -k**2 + k. Let t(c) = a*r(c) - b(c). Give t(0).
6
Let r(d) = 29*d + 27*d - 55*d + 5. Calculate r(5).
10
Let a(r) = r**2 - 5. Let o(g) = -g**3 + 3*g**2 + 5*g - 4. Let v be o(4). What is a(v)?
-5
Let y(p) = 5*p**3 + 2*p**2 - 2*p + 8. Let c(f) = 11*f**3 + 5*f**2 - 4*f + 17. Let l(b) = 6*c(b) - 13*y(b). Determine l(-2).
2
Let o(z) = -z - 1. Let s = -4 - -10. Suppose -3*r + s = -0*r. Let m be ((-3)/(-3))/(r/(-6)). What is o(m)?
2
Let h(u) be the second derivative of 4*u - 2/3*u**3 + 0 + 3*u**2 - 1/12*u**4. Determine h(-5).
1
Let i(x) = 6*x**2 + 8*x + 7. Let m(u) = 7*u**2 + 8*u + 8. Let t(s) = 6*i(s) - 5*m(s). Let n be t(-7). Let j(b) = -b - 8. Give j(n).
-3
Let g(z) be the third derivative of -z**5/60 - z**4/12 - z**3/3 + 2*z**2. Let w = 1 - 2. Let o be (-18)/6 - 0/w. Calculate g(o).
-5
Let t(o) = -15*o + 4 - 4 - 1 + 5*o. What is t(1)?
-11
Let r(n) be the second derivative of -1/6*n**3 - 1/6*n**4 - 6*n + 0*n**2 + 1/20*n**5 + 0. Give r(-1).
-2
Let i(h) = 2*h + 7. Let t = -7 + 9. Let f be 1 + (t - 2) + -6. Give i(f).
-3
Let h(m) = m - 7. Let p be h(6). Let c = 3 - 2. Let o(n) = c - n - n - 2. Give o(p).
1
Let k be (-4)/(-12)*3 + -8. Let s = -3 - k. Let o(p) = p**3 - 4*p**2 + p - 5. What is o(s)?
-1
Let r(l) = -2*l + 2 - 3 - 3. Determine r(4).
-12
Suppose 5*w = -0 - 5. Let g(o) = -o**2 + 1. What is g(w)?
0
Let k(b) be the third derivative of b**7/840 + b**5/120 + b**4/12 + b**3/2 + b**2. Let r(u) be the first derivative of k(u). Give r(2).
12
Let i(o) = -11*o**2 + o. Let b(j) = -3*j + 2*j + 2*j + 3*j**2 - 15*j**2. Let n(f) = 5*b(f) - 4*i(f). Calculate n(-1).
-17
Let i be ((-3)/(-2))/((-2)/(-4)). Let p = -3 + i. Suppose p*u + 3*u = -12. Let b(r) = -r**3 - 5*r**2 - 2*r - 3. Give b(u).
-11
Let t(u) be the first derivative of u**2 + 10. Give t(-1).
-2
Let g be (-54)/(-36)*10/(-3). Let d(x) be the first derivative of x**2/2 - 6*x + 1. What is d(g)?
-11
Let o(r) = r**2 + 3*r + 3. Suppose -q - 2 = -2*q + 3*h, 5*q + 4*h = -28. Determine o(q).
7
Let c(i) = -4*i + 3. Let m be c(-5). Let s(k) = -m*k + 17*k - 2*k**2 + k**2 + 7. Determine s(-6).
7
Suppose -9 = 3*m + c + 9, 4*m + 4*c + 24 = 0. Let b(v) = -2*v - 5. Calculate b(m).
7
Let i = 1 - 1. Let z(l) be the first derivative of 1/3*l**3 - 1/4*l**4 + 4*l + 7 + 0*l**2. Determine z(i).
4
Suppose 3*o = o + 6. Let h(b) = -3*b**2 - 2*b**o - b**2 + 3*b**3 + 5 + 2*b - 5*b. Determine h(4).
-7
Suppose 36 = 3*p - 3*q, 5*p + 3*q + 2*q - 10 = 0. Suppose -u - 15 = -3*j, -5*j = -2*u - 0*j - 25. Let b(l) = -l + u*l + p - 13. Calculate b(0).
-6
Let z(r) = -6*r - 2. Let a(w) = -12*w - 5. Let k(l) = -3*a(l) + 7*z(l). What is k(1)?
-5
Let z(b) = -11 + b**3 + 13 + 3*b**2 - b + 0*b - 2*b. Determine z(-4).
-2
Let m(i) = 3*i**2 - 2*i + 7. Let p(l) = l**2 - l + 1. Let b(x) = m(x) - 4*p(x). Determine b(-2).
-5
Suppose -5*o - 1 = -3*z - 0, -z + 3*o = 1. Suppose -1 = -z*l + 3. Let w(f) = -2*f + f + f**3 + 5*f**l - 6 + 0*f. What is w(-5)?
-1
Let i(z) be the first derivative of z**4/2 - z**2/2 + z + 1. Let a be ((-2)/8)/((-3)/12). What is i(a)?
2
Let c = 0 + 9. Let q be 21/(-9) - (-3)/c. Let i(g) = -4*g**2 - g + 2. What is i(q)?
-12
Let f(y) = 0 + 7*y + 2*y + 1. Let n = 0 + -1. Let j = n + 0. Give f(j).
-8
Let q(p) be the first derivative of -p**2/2 - 5*p + 11. Give q(0).
-5
Let h(r) = r**3 + 6*r**2 + r + 6. Let s(o) = o**3 + 11*o**2 - 9*o + 30. Let y be s(-12). Give h(y).
0
Suppose 0 = -7*k + 9*k - 4. Let p(c) = -2 - c - k*c + 4*c - 4. What is p(6)?
0
Suppose -4*a + 8 = -0. Suppose -3*d + 2 = 5. Let y(s) = s**3 + 2*s**2 - 4*s. Let b(k) = -1. Let q(z) = d*y(z) + 2*b(z). Give q(a).
-10
Let l(f) = -6 + 1 + 2 + f + f**2 + 2. Give l(2).
5
Let v(i) = -1 - 2 + i + 0 + 4 - 5*i**2 - i**3. Suppose -4*s = -4, -5*s + 4*s = 3*x + 14. Give v(x).
-4
Suppose -3*x + 4*t - 10 = 0, -2*t - 2 = 2*x - 14. Let z(b) = 22*b**2 - b**3 - 22*b**x. Let q(r) = -r**2 - r + 1. Let o be q(-2). Calculate z(o).
1
Let g(b) = -3*b + 1 + 12 - 6 - 6. What is g(3)?
-8
Let c(u) = 0 + u + 0 - 5 - 1. Suppose -1 = -n + 4. Determine c(n).
-1
Suppose 5*u = 2*u. Let z(p) = -2*p + u*p + 3*p + 2. Calculate z(5).
7
Let z(q) be the third derivative of q**6/120 - 2*q**5/15 + q**4/3 - 5*q**3/3 - 4*q**2. What is z(7)?
-3
Let b be (-96)/(-42) - (-4)/(-14). Let r(p) = -b*p + 1 + 1 + p + 2*p. Calculate r(-1).
1
Let k(f) be the third derivative of 1/12*f**4 + 0*f**3 + 1/60*f**5 + 0 + 2*f**2 + 0*f. Give k(-2).
0
Let i(s) = -s**2. Let g(x) be the second derivative of -5*x**4/12 + x**3/6 + 3*x**2/2 + 2*x. Let t(o) = -g(o) + 6*i(o). What is t(0)?
-3
Let n be (-8 + -2)*3/6. Let z(j) = j**3 + 5*j**2 + 7. Calculate z(n).
7
Let w(l) = l. Let i = -2 + 1. Let z(y) = -2*y**3 + y**2 + 2*y + 1. Let b be z(i). Give w(b).
2
Suppose -2 = p + 1. Let z be -2 + 2 - 0 - p. Let m(b) = 3*b**2 - 3*b**2 + z*b**2 - 4*b**2 - 3 - 2*b. Calculate m(-2).
-3
Let d(y) be the second derivative of -y**5/20 + 5*y**4/12 - 7*y**2/2 - 5*y. Suppose -4*h - 19 = -3*k, 3*k = -2*h + 4 + 9. Calculate d(k).
-7
Let k(v) = v**3 + 4*v**2 + 3*v - 4. Suppose 3*o + 0 = 6, 0 = -t + 3*o - 2. Suppose -5*i + 0*c = t*c - 31, i + 4*c = 19. Suppose i*u + 0*u = -9. Determine k(u).
-4
Let z(h) = -h**3 - 2*h**2 - 5*h + 6*h - 7*h + 3 - 4*h**2. What is z(-5)?
8
Let j(g) be the first derivative of g**4/4 + 5*g**3/3 - 4*g**2 - 9*g + 38. Calculate j(-6).
3
Let g(f) = f**3 - 3*f - 41*f**2 - 3 + 46*f**2 + 5*f + 1. What is g(-4)?
6
Let j(m) = 692*m**3 - 11*m - 11*m**2 - 4 - 693*m**3 - 6. Determine j(-10).
0
Let j(l) = l**3 - 6*l**2 + 6*l + 7. Suppose 5*k - 44 = -19. Give j(k).
12
Let b(w) = -w**3 + 5*w**2 + 6*w - 1. Let s(t) = -2*t**2 + 9*t + 2. Let p be s(4). Calculate b(p).
-1
Suppose 0 = n + 5*v - 5, 2*v - 4*v = -2. Let t(z) be the third derivative of 1/3*z**3 + 2*z**2 + n*z + 0 - 1/60*z**5 + 1/8*z**4. What is t(3)?
2
Let t be (-4)/18 + (-232)/(-72). Suppose m - 12 = -0*m. Let j be t*3*(-4)/m. Let k(y) = y**3 + 3*y**2 + 2*y - 1. Give k(j).
-7
Let k(a) be the third derivative of -3*a**2 - 1/20*a**5 + 2/3*a**3 + 0 + 1/120*a**6 + 0*a + 0*a**4. Determine k(3).
4
Let o(w) be the first derivative of -8*w**3/3 - w**2/2 - 1. What is o(1)?
-9
Let c(v) = 17*v**3 - 14*v**2 + 14*v - 17. Let n(l) = -6*l**3 + 5*l**2 - 5*l + 6. Let w(o) = -4*c(o) - 11*n(o). Let f be (-2 + 0)*(1 + -2). Give w(f).
-12
Suppose -6*z = -9*z. Let u(g) = g**2 - g - 4. Determine u(z).
-4
Let l = 1 + 2. Let j(n) = n**3 - 5*n**2 + 2*n - 1. What is j(l)?
-13
Let t(a) = -14*a**3 - 3*a**2 + 14*a + 3. Let r(y) = 5*y**3 + y**2 - 5*y - 1. Let c(o) = 17*r(o) + 6*t(o). Calculate c(1).
0
Let y(f) = 5*f**3 + f**2 - 2*f + 1. Suppose 0 = -3*q + 4*x - 14, 3*x - 3 = -3*q + 18. Suppose 4*t + q = 6. What is y(t)?
5
Let d = 19 + -13. Suppose 2*q - d = -0*q. Let o(m) be the first derivative of -m**3/3 + m**2 - 4*m - 1. Determine o(q).
-7
Let u(v) = 21*v + 11*v**2 - 1 - 5*v - 14*v - 2*v**2. What is u(1)?
10
Let a(k) = -k**3 + 4*k**2 - k - 1. Suppose 12 = -2*x + 5*x. Give a(x).
-5
Let v(b) be the second derivative of 0*b**2 - 2*b - 1/6*b**4 - 1/40*b**5 + 0 + 0*b**3 - 1/720*b**6. Let t(u) be the third derivative of v(u). Determine t(-5).
2
Let h(q) = -15*q**3 + 7*q**2 - 3*q + 11. Let c(w) = 7*w**3 - 3*w**2 + w - 5. Let t(p) = -13*c(p) - 6*h(p). Determine t(-4).
-5
Let q be (-16)/(-12)*(-12)/(-8). Suppose -6*t - 28 = q. Let g(x) = x**2 + 5*x. What is g(t)?
0
Let d(u) = u**2 - 2*u - 1. Let f be 5 + -5 + 3 + 3. Let b be f - (3 + -1 + 1). Determine d(b).
2
Suppose 0 = -0*j + 4*j - 8. Let b(y) = 0 + y**3 - y + 0*y + 0 + 1 - y**j. What is b(2)?
3
Let f(x) be the second derivative of 5*x**4/12 + x**3/3 + x**2/2 - 18*x. Give f(-1).
4
Let i(h) = -h. Suppose -6*g + 3*g = 2*j + 11, -10 = j + 3*g. What is i(j)?
1
Let k(w) be the second derivative of -w**3/6 - 4*w**2 + 10*w. Determine k(-4).
-4
Let a be (-3)/(-1*(0 - 1)). Let b = 6 + 1. Let q(h) = -6 - h + 9 - b. Calculate q(a).
-1
Let m(k) = -k**2 | {
"pile_set_name": "DM Mathematics"
} |
is prob of picking 1 s and 1 b when two letters picked without replacement from vvbzvsbvssvvmv?
6/91
Calculate prob of picking 2 p when two letters picked without replacement from ppp.
1
Three letters picked without replacement from {h: 6}. What is prob of picking 3 h?
1
Two letters picked without replacement from osoyddsyoso. What is prob of picking 1 d and 1 s?
6/55
What is prob of picking 1 g, 2 u, and 1 w when four letters picked without replacement from wueugvvk?
1/70
Calculate prob of picking 1 i and 1 r when two letters picked without replacement from rrrrrrrirrrirrrrrr.
32/153
Calculate prob of picking 1 s and 3 e when four letters picked without replacement from eeeseeeseee.
28/55
Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {k: 1, m: 11, d: 2, p: 2, v: 3}.
1/57
Two letters picked without replacement from xdxxdrdxdrxxrrd. Give prob of picking 2 d.
2/21
What is prob of picking 1 t and 1 a when two letters picked without replacement from {r: 1, t: 1, a: 1}?
1/3
Calculate prob of picking 1 o and 1 x when two letters picked without replacement from ohjorjxorrrh.
1/22
What is prob of picking 1 j and 1 c when two letters picked without replacement from {c: 2, j: 3, p: 4, i: 1, e: 4, x: 1}?
2/35
Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, h: 2}.
1/6
What is prob of picking 1 g and 2 a when three letters picked without replacement from rgrxaxggargxggx?
6/455
What is prob of picking 1 k and 1 a when two letters picked without replacement from {v: 6, k: 4, a: 2}?
4/33
What is prob of picking 2 a when two letters picked without replacement from llllllllallllaalll?
1/51
Calculate prob of picking 1 j and 2 z when three letters picked without replacement from {j: 12, z: 7}.
84/323
What is prob of picking 3 n when three letters picked without replacement from {n: 9, k: 3}?
21/55
Four letters picked without replacement from icciiiiciciccc. Give prob of picking 2 c and 2 i.
63/143
What is prob of picking 1 i and 1 o when two letters picked without replacement from yoyooydyyyldoddyiog?
5/171
Calculate prob of picking 3 k when three letters picked without replacement from {k: 4, v: 10, e: 6}.
1/285
Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {z: 4, u: 2, l: 2, v: 7, j: 2, k: 2}.
7/969
Two letters picked without replacement from jttttttttjttttttjttt. Give prob of picking 2 j.
3/190
Two letters picked without replacement from {b: 2, y: 2, r: 1, h: 9}. Give prob of picking 2 y.
1/91
Three letters picked without replacement from zjkczcz. What is prob of picking 1 z, 1 c, and 1 j?
6/35
What is prob of picking 1 g and 1 u when two letters picked without replacement from {g: 2, c: 1, s: 4, u: 8}?
16/105
Two letters picked without replacement from {r: 5, o: 2, d: 7}. Give prob of picking 1 r and 1 d.
5/13
Calculate prob of picking 1 m and 1 y when two letters picked without replacement from myttaem.
2/21
Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {g: 1, q: 1, e: 2, y: 6, z: 5}.
3/91
What is prob of picking 1 r and 1 p when two letters picked without replacement from {p: 7, c: 7, r: 2, k: 3}?
14/171
Calculate prob of picking 2 p when two letters picked without replacement from {p: 10, c: 4}.
45/91
What is prob of picking 2 l when two letters picked without replacement from {z: 4, a: 6, x: 1, l: 3}?
3/91
Calculate prob of picking 2 w when two letters picked without replacement from {w: 4, g: 1, s: 5}.
2/15
Three letters picked without replacement from {v: 2, c: 1, e: 2, p: 1, g: 1}. What is prob of picking 1 e, 1 g, and 1 c?
2/35
Four letters picked without replacement from {n: 5, s: 1, h: 2, z: 1}. What is prob of picking 2 z and 2 s?
0
What is prob of picking 1 a and 3 d when four letters picked without replacement from {j: 1, d: 3, a: 1}?
1/5
Two letters picked without replacement from wwjpjppwjwwwjwawwa. What is prob of picking 1 a and 1 p?
2/51
What is prob of picking 1 o and 1 n when two letters picked without replacement from {o: 8, m: 2, n: 6, u: 3}?
16/57
Calculate prob of picking 1 n and 2 j when three letters picked without replacement from ctnjjjjjtnnj.
9/44
Two letters picked without replacement from xsjxjjjjjj. Give prob of picking 2 x.
1/45
Two letters picked without replacement from {u: 1, g: 1, t: 1, o: 3, z: 1}. Give prob of picking 1 z and 1 t.
1/21
Two letters picked without replacement from {y: 17, i: 1}. What is prob of picking 2 y?
8/9
Two letters picked without replacement from {x: 1, i: 12, e: 1, j: 1}. Give prob of picking 1 x and 1 j.
1/105
Three letters picked without replacement from sjmmsmjskg. What is prob of picking 3 m?
1/120
Calculate prob of picking 1 j and 1 t when two letters picked without replacement from itujogtijti.
6/55
What is prob of picking 1 n and 1 s when two letters picked without replacement from smmmnhmn?
1/14
Three letters picked without replacement from ynxwxnwxwywwwwwywxxw. What is prob of picking 1 w and 2 x?
5/57
What is prob of picking 2 t when two letters picked without replacement from ktkkkt?
1/15
What is prob of picking 2 k when two letters picked without replacement from {k: 8, x: 2, t: 3, i: 1, u: 5, w: 1}?
14/95
Three letters picked without replacement from iiimoicmaaia. Give prob of picking 2 a and 1 m.
3/110
What is prob of picking 2 r and 2 q when four letters picked without replacement from rgrfqfqrgr?
1/35
Two letters picked without replacement from {x: 4, s: 11, u: 3}. What is prob of picking 1 x and 1 s?
44/153
What is prob of picking 1 b and 2 x when three letters picked without replacement from eeeexebxxexeebeeeex?
20/969
Four letters picked without replacement from {d: 16, c: 4}. Give prob of picking 4 d.
364/969
Three letters picked without replacement from {x: 3, k: 8}. Give prob of picking 3 x.
1/165
Calculate prob of picking 1 i and 1 f when two letters picked without replacement from fiwfifwww.
1/6
What is prob of picking 2 b and 2 u when four letters picked without replacement from uobuuvvooubbov?
18/1001
Three letters picked without replacement from {o: 1, g: 1, d: 1, s: 2}. What is prob of picking 1 g and 2 s?
1/10
Calculate prob of picking 2 q and 1 m when three letters picked without replacement from qqmqqqm.
4/7
Calculate prob of picking 3 m when three letters picked without replacement from aaammaaaaammmmma.
1/16
Three letters picked without replacement from {j: 1, m: 1, o: 1, c: 1, v: 1}. What is prob of picking 1 o, 1 v, and 1 c?
1/10
What is prob of picking 3 h when three letters picked without replacement from {h: 4, m: 3}?
4/35
What is prob of picking 1 f, 1 u, and 2 s when four letters picked without replacement from {f: 2, u: 3, s: 2, g: 4, d: 2}?
6/715
Four letters picked without replacement from {u: 4, x: 3, q: 2}. Give prob of picking 3 u and 1 q.
4/63
Three letters picked without replacement from {l: 4, r: 2}. What is prob of picking 1 l and 2 r?
1/5
What is prob of picking 1 j and 1 u when two letters picked without replacement from jujjjjujjujuju?
45/91
Two letters picked without replacement from {o: 1, t: 3, n: 2, s: 2, p: 4}. Give prob of picking 1 p and 1 o.
2/33
Calculate prob of picking 2 a and 1 u when three letters picked without replacement from {u: 2, a: 3, r: 1, j: 1, d: 4}.
2/55
What is prob of picking 2 q when two letters picked without replacement from {l: 1, q: 3, k: 1}?
3/10
What is prob of picking 1 h and 1 e when two letters picked without replacement from {o: 3, h: 2, u: 1, e: 1}?
2/21
Calculate prob of picking 2 m when two letters picked without replacement from qnmmnnnmmmqmnmm.
4/15
Three letters picked without replacement from {g: 5, z: 3, k: 2}. What is prob of picking 1 z, 1 g, and 1 k?
1/4
What is prob of picking 2 y and 1 e when three letters picked without replacement from eeyeeeyyee?
7/40
Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {h: 1, b: 1, t: 1}.
1/3
Three letters picked without replacement from {z: 3, k: 12}. Give prob of picking 2 k and 1 z.
198/455
Three letters picked without replacement from {p: 9, a: 7}. What is prob of picking 3 p?
3/20
Two letters picked without replacement from {o: 5, m: 3, i: 2, j: 2, k: 1 | {
"pile_set_name": "DM Mathematics"
} |
alse
Do 0 and -44200460/3 have the same value?
False
Which is bigger: -18178 or -18218?
-18178
Which is smaller: 70278781 or 351393902/5?
351393902/5
Is -37 bigger than 519298?
False
Which is smaller: 4/187997 or 1?
4/187997
Is 0 less than or equal to -17/1172033?
False
Which is smaller: 8303990/3 or 2767996?
2767996
Do -1427247/2 and -0.01 have the same value?
False
Which is smaller: -32 or -20417/618?
-20417/618
Is 3/14 >= -9417202?
True
Which is smaller: -216562.9 or 9/7?
-216562.9
Is 4240 equal to 63187?
False
Which is smaller: 7/6453768 or -2?
-2
Which is smaller: 2280864 or 2280866?
2280864
Which is smaller: 45344768 or 45344765?
45344765
Is -8/77149 less than -0.11?
False
Which is bigger: 10852632 or 10852636?
10852636
Is 169186 != 169186?
False
Which is greater: 1834/3153 or 2?
2
Is -937654/2137 greater than -438?
False
Is -1 smaller than 2/236892345?
True
Is -0.3 at most -2875648?
False
Is 345958 at least 346047?
False
Is -7778699 <= -7778699?
True
Which is smaller: -103604 or -102362?
-103604
Is -17494365 at most -17494365?
True
Which is smaller: -3/1038287024 or 1?
-3/1038287024
Are -11.453 and 67351 nonequal?
True
Which is smaller: 362588 or 362652?
362588
Which is smaller: -0.1 or -12.2956448?
-12.2956448
Which is bigger: -5183 or -17432?
-5183
Which is greater: -197/2238579 or -1?
-197/2238579
Is 0 at most -15/28622617?
False
Do 108272 and 108380 have different values?
True
Which is smaller: 0 or -1/29133730?
-1/29133730
Which is bigger: -175425 or -174623?
-174623
Do -7117767 and -7117767 have the same value?
True
Which is bigger: -1 or -4201/5778?
-4201/5778
Which is bigger: -2169/6268 or -1?
-2169/6268
Is 593843 bigger than 593834?
True
Which is greater: -34530821 or -1?
-1
Which is bigger: 5347561 or 5347544?
5347561
Which is greater: -2797 or 1991.6?
1991.6
Is -105 equal to -196604/1881?
False
Which is smaller: -94721451 or -94721454?
-94721454
Do -10077574 and 16 have the same value?
False
Which is smaller: -348.5 or 1/162?
-348.5
Which is bigger: -25/102 or -2114/17?
-25/102
Which is greater: 22 or -920.1479?
22
Is 372 less than or equal to 16195.6?
True
Is -16557060 >= -1?
False
Which is greater: 0 or -1029/3287920?
0
Is 337/21268 greater than 1?
False
Which is smaller: 1/26012 or -0.1317?
-0.1317
Which is greater: -6007048 or -6007052?
-6007048
Which is smaller: 1762/32741 or -1?
-1
Does 227 = 102446/449?
False
Is 45999 at most as big as -142?
False
Is 70981743 at most as big as 70981743?
True
Do 80 and -647/227 have the same value?
False
Is -2693364 bigger than -10773459/4?
True
Does 16/2113055 = 0?
False
Which is smaller: 1 or -1648/79781?
-1648/79781
Which is smaller: -2870 or -2885?
-2885
Which is smaller: -15/1139 or 11031?
-15/1139
Is -557/12375 < 1?
True
Which is bigger: 775231/518 or 1496?
775231/518
Do 1639.023 and -0.007 have the same value?
False
Is -26954815 at least as big as -26954815?
True
Do 3983963 and 3983962 have the same value?
False
Are 26869 and 4/625 equal?
False
Which is greater: 65475360 or 65475356?
65475360
Are 76261/8574 and 8 non-equal?
True
Which is smaller: 57/706687 or 0?
0
Is 11 at most as big as -1215865.6?
False
Is -23518834 greater than -23518834?
False
Do 0 and -3/1537127717 have different values?
True
Which is greater: -80219523 or -80219528?
-80219523
Which is greater: 1 or 179/446?
1
Which is greater: -2179 or 1296?
1296
Which is greater: -3/35422 or -1048?
-3/35422
Are 1168 and -128144 non-equal?
True
Is 189 != -19089?
True
Which is bigger: 47352 or 1336?
47352
Is -5703147 >= -5703113?
False
Is 71955 greater than or equal to 71892?
True
Which is smaller: -1 or -793/38021?
-1
Do 2/26147629 and 1 have different values?
True
Is 9852 not equal to -410/169?
True
Is -5104169 at most -5104168?
True
Which is smaller: 3127422 or 15?
15
Are 1449531 and 1449550 equal?
False
Is 9478 greater than 7833?
True
Is -78099 greater than or equal to -77566?
False
Which is bigger: 2 or 28584/11485?
28584/11485
Which is greater: 41579 or -1.5?
41579
Which is greater: 0 or 19960/55741?
19960/55741
Is 389032 bigger than 389191?
False
Is 105104933 bigger than 105104935?
False
Is -1/708007322 >= 1?
False
Do 140938 and 841 have different values?
True
Which is smaller: 26101623/11 or 2372874?
2372874
Is -133997 less than -43?
True
Are -8.204 and 93758 non-equal?
True
Are -19/41725 and 2/5 nonequal?
True
Which is greater: 591998 or 593147?
593147
Is 521163 greater than 521406?
False
Which is bigger: -1562850/7 or -223264?
-223264
Does -1528327 = -1528328?
False
Is -4740439 at most -4740439?
True
Is 621958 greater than or equal to 622174?
False
Which is bigger: 1/320345090 or 1?
1
Which is greater: -91794 or 3590?
3590
Is 15 smaller than -58886109?
False
Which is bigger: 30891 or 28183?
30891
Which is greater: 7 or -823449?
7
Which is smaller: 63100125 or 63100126?
63100125
Is -3.57 smaller than -13341?
False
Are -5282 and -5108510/967 equal?
False
Are -80835 and 69/40 nonequal?
True
Is -17571436 smaller than -17571434?
True
Is -92018 greater than -2852596/31?
True
Which is bigger: 8103 or 494347/61?
494347/61
Is 0 at least 6/46531?
False
Which is smaller: 137602628 or 137602626?
137602626
Which is smaller: -37481640 or -37481627?
-37481640
Which is greater: -341 or -2/4886779?
-2/4886779
Is -250811465/2 at least -125405732?
False
Is 0 < -120/17026277?
False
Which is bigger: 1454 or 275893?
275893
Which is smaller: 187223/85 or 0.1?
0.1
Which is smaller: -47600/1247 or 0.048?
-47600/1247
Which is greater: 0 or 2178/53081?
2178/53081
Does 664.29 = -18?
False
Is 1082009 less than or equal to 1081988?
False
Is -164493406 smaller than -164493406?
False
Which is greater: 620 or 28485?
28485
Which is bigger: 1 or -49/175073?
1
Which is greater: 23438/51983 or 1?
1
Which is bigger: 20914136 or -3?
20914136
Which is bigger: -86 or 8213?
8213
Is 2654/29299 at most as big as 1?
True
Which is smaller: -30703176 or -30703175?
-30703176
Which is greater: 4502303 or 13506905/3?
4502303
Which is smaller: 10691 or 14971?
10691
Do -7468 and -7365 have the same value?
False
Are -1 and -1167/34213 nonequal?
True
Which is greater: -1 or 32/5098151?
32/5098151
Is -177842878 >= -177842880?
True
Is 1512677/8 bigger than 189084?
True
Is 1 at least -3/6771418?
True
Is 2/156068755 <= 1?
True
Is -903/833342 > 0?
False
Which is bigger: -1 or 7/274770?
7/274770
Which is smaller: -5580 or -5662?
-5662
Which is bigger: -2/3 or 15075670?
15075670
Is 2082627634 < 2082627634?
False
Which is bigger: 29239545 or 29239542?
29239545
Which is smaller: -9841/3689 or -4?
-4
Do 3120 and 189 have the same value?
False
Is 1 at least -2/654642833?
True
Is 22/7 bigger than 46603/11?
False
Which is greater: -210054829 or 2/3?
2/3
Which is smaller: -56237 or 1564?
-56237
Which is smaller: -4181323 or -4181335?
-4181335
Is -1 <= 3/1831036?
True
Is -0.11 smaller than -4133928?
False
Which is smaller: 287029 or 82?
82
Which is smaller: -5/108813 or -2.97?
-2.97
Which is smaller: 1843.698 or -5?
-5
Is 19313302/9 >= 2145921?
True
Which is smaller: -23641475 or -23641472?
-23641475
Is 4/341106715 smaller than 0?
False
Is -4993097 greater than -4993097?
False
Which is smaller: 94028 or 93927?
93927
Is -7075/414 at least as big as -18?
True
Is 5/113842819 at least as big as 0?
True
Is -5827135 <= -5827152?
False
Which is smaller: 131348 or 1372?
1372
Which is smaller: -719541866/7 or -102791695?
-719541866/7
Is -2558377 smaller than -2558362?
True
Are -8259.8 and -609 unequal?
True
Is -315181/13 at most -24246?
False
Which is bigger: 11/6090101 or 0?
11/6090101
Which is greater: -16586 or -16320?
-16320
Do -1188279 and -1188276 have the same value?
False
Which is bigger: -48/11 or -1939768?
-48/11
Is 70204/371 at least 189?
True
Which is smaller: 0 or 2/1671890887?
0
Does -2676581/6 = -446098?
False
Is 5000 smaller than 724939/145?
False
Which is greater: 9338/99349 or -1?
9338/99349
Are 231 and 587950 unequal?
True
Does 365719/54 = 6772?
False
Is 0.4 > 2798547?
False
Which is bigger: 1/82176963 or 0?
1/82176963
Is 330 at most as big as 20059/61?
False
Is 122383 greater than 122399?
False
Is -4.3 not equal to -543958?
True
Is -1 < -2/105217347?
True
Is 1571062 less than or equal to 1571632?
True
Which is greater: 0.013888 or 2051?
2051
Which is smaller: 1234187 | {
"pile_set_name": "DM Mathematics"
} |
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