text stringlengths 270 8.19k | meta dict |
|---|---|
derivative of g**3/3 + 2367*g. Let r(o) = 12159*o. What is r(q(v))?
24318*v
Let h(z) = 2*z. Let t(c) = 4*c - 5 + 3*c**2 + 8 + 1. Let j(u) = 0*u + 5 + 2*u**2 - 2*u + 2*u + 5*u. Let m(f) = -4*j(f) + 5*t(f). Determine h(m(p)).
14*p**2
Let m(l) = 32*l - 1. Let x(c) = 17*c - 25. Let k(g) = -986*g + 1445. Let j(u) = 5*k(u) ... | {
"pile_set_name": "DM Mathematics"
} |
27155 by -5085.
143
What is 322623 divided by -569?
-567
What is -28035 divided by 9?
-3115
7874 divided by -6
-3937/3
-110739 divided by -1
110739
-355806 divided by -99
3594
395316 divided by 948
417
Divide 26584 by 3323.
8
41496 divided by -228
-182
Calculate -8809 divided by -30.
8809/30
2487785 divided by 2
248778... | {
"pile_set_name": "DM Mathematics"
} |
d by 48.
17
What is the remainder when 197428 is divided by 16451?
16
What is the remainder when 520398 is divided by 415?
403
Calculate the remainder when 3590 is divided by 275.
15
Calculate the remainder when 390 is divided by 115.
45
What is the remainder when 1929 is divided by 184?
89
What is the remainder when 2... | {
"pile_set_name": "DM Mathematics"
} |
2*q + 3. Let z = 1432 + -1433. Calculate t(z).
63
Let j(y) = 26*y + 18*y + 133 - 156 - 64*y. What is j(3)?
-83
Suppose 22 = 4*y - 6*u + 7*u, -3*y + 13 = -u. Let h(a) = -2 + 4 + 1 - 7*a. Determine h(y).
-32
Let z = -196 + 197. Let j(a) = -a + 5. Let n(y) = -11*y + 14. Let t(g) = -2*j(g) + n(g). Determine t(z).
-5
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
127.
2
What is the remainder when 42970 is divided by 45?
40
Calculate the remainder when 3371534 is divided by 16.
14
What is the remainder when 5919 is divided by 848?
831
What is the remainder when 24752 is divided by 24727?
25
What is the remainder when 11373 is divided by 47?
46
What is the remainder when 3659 is ... | {
"pile_set_name": "DM Mathematics"
} |
d root of 15559 to the nearest integer?
25
What is the square root of 2469 to the nearest integer?
50
What is the seventh root of 616 to the nearest integer?
3
What is the fourth root of 2310 to the nearest integer?
7
What is the fourth root of 7426 to the nearest integer?
9
What is 117577 to the power of 1/2, to the n... | {
"pile_set_name": "DM Mathematics"
} |
ommon denominator of -31/22 and x.
22
What is the common denominator of ((-198)/220)/((-12)/(-130)) and -121/42?
84
Let o = 160 - 183. Suppose 0 = 3*q + 3 + 63. Let w = q - o. What is the least common multiple of 4 and w?
4
Calculate the common denominator of ((-168)/280)/((-28)/290 + 0) and 1/(-4)*(-670)/(-55).
154
Su... | {
"pile_set_name": "DM Mathematics"
} |
for n.
-5
Let m(z) = 160*z + 809. Let q be m(-5). Solve -42 - 12 = q*t for t.
-6
Suppose -95 = -5*s + 2*k - 4*k, 4*s - 99 = 3*k. Solve 17*g - s*g + 16 = 0 for g.
4
Let w be 987/11 + (-36)/(-132). Solve -29*h + 11*h = w for h.
-5
Suppose -46*c = -43*c - 23 + 11. Solve 58*x - 378 = c*x for x.
7
Suppose -68*a + 159*a - 49... | {
"pile_set_name": "DM Mathematics"
} |
-225*x + 2. Let g(t) = -4*c(t) - 6094*w(t). What is s(g(m))?
1108*m
Let f(n) = -3202*n. Let q(p) = -12*p + 3. Let w(k) = -49*k + 12. Let c(m) = 12*q(m) - 3*w(m). Give f(c(x)).
-9606*x
Let z(s) be the first derivative of -11*s**3/3 - 1. Let t(q) = -11*q + 220. Let k(p) = -7*p + 154. Let o(b) = -10*k(b) + 7*t(b). Give o... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 3*r + 10. Let z be x(-4). What is the greatest common factor of z and 126?
14
Let x be 3/6 + (-210)/(-12). Let r be 9*8 + 0/1. Calculate the highest common divisor of r and x.
18
Suppose 22 - 2 = 4*k. Let v(d) = 4*d + 11. Let u be v(k). What is the highest common divisor of u and 217?
31
Let q be 9/(-6)*20/(-6). ... | {
"pile_set_name": "DM Mathematics"
} |
11707.
256
Calculate the remainder when 264179 is divided by 16101.
6563
What is the remainder when 29267 is divided by 6657?
2639
Calculate the remainder when 20303371 is divided by 1437.
1435
What is the remainder when 2655313 is divided by 157?
129
Calculate the remainder when 39340447 is divided by 967.
953
What i... | {
"pile_set_name": "DM Mathematics"
} |
erm in -135, -119, -103, -87?
-71
What comes next: 3135, 3141, 3151, 3165, 3183, 3205?
3231
What is next in 86, 364, 834, 1502, 2374, 3456, 4754?
6274
What is next in 89, 172, 255, 338, 421?
504
What is next in -105, -421, -939, -1653, -2557?
-3645
What is the next term in -595, -1177, -1759?
-2341
What comes next: 28,... | {
"pile_set_name": "DM Mathematics"
} |
891393?
1
What is the units digit of 535937?
7
What is the tens digit of 1118234?
3
What is the tens digit of 8951849?
4
What is the hundreds digit of 3926961?
9
What is the thousands digit of 13198394?
8
What is the hundreds digit of 38483?
4
What is the thousands digit of 414282?
4
What is the millions digit of 16147... | {
"pile_set_name": "DM Mathematics"
} |
(g) = -g**3 + g**2 + g. Let x(s) = 2*a(s) - 18*u(s). Solve x(v) = 0.
-2, -1, 2/5
Let q(m) be the first derivative of 0*m - 1/5*m**5 + 0*m**2 + 1/2*m**4 - 1/3*m**3 - 2. Factor q(p).
-p**2*(p - 1)**2
Let w = 11 - 9. Factor -h**2 + 16*h**3 - 15*h**3 + w + 5*h + 5*h**2 + 0.
(h + 1)**2*(h + 2)
Let i = -167/8 + 21. Let k(m) ... | {
"pile_set_name": "DM Mathematics"
} |
2)/60*8/(96/10)?
-1/6
What is 16/(-12)*(6237/110)/27?
-14/5
What is the value of (2/1*3)/(29/((-870)/225))?
-4/5
What is the value of 30/(-650)*10/1?
-6/13
What is the value of (72/(-126))/((-12)/(-14))?
-2/3
Evaluate (5/(10/4)*(-36)/(-216))/(-1).
-1/3
What is the value of (((-64)/400)/(6/165))/((-2)/(-5))?
-11
What is... | {
"pile_set_name": "DM Mathematics"
} |
psis?
2/1485
What is prob of sequence qj when two letters picked without replacement from ryqvj?
1/20
Two letters picked without replacement from kcaaakwwa. Give prob of sequence ck.
1/36
Two letters picked without replacement from jnjj. What is prob of sequence jj?
1/2
Two letters picked without replacement from mimi... | {
"pile_set_name": "DM Mathematics"
} |
(b) 3 (c) -1 (d) -17/2
c
Which is the smallest value? (a) 4 (b) 0.3 (c) 2 (d) -0.14
d
Which is the second biggest value? (a) 91 (b) 3 (c) -1
b
Which is the fourth smallest value? (a) -58 (b) -1/4 (c) -7 (d) 1/6
d
What is the second smallest value in 0.5, 22, -0.09?
0.5
What is the fourth smallest value in... | {
"pile_set_name": "DM Mathematics"
} |
en 83 is divided by v.
5
Let x = 232 + -168. What is the remainder when x is divided by 33?
31
Let h = -12 + 9. Let b be h + (2*9)/3. Suppose b*x - 3*m - 35 = x, 3*m - 25 = -4*x. Calculate the remainder when 39 is divided by x.
9
Suppose -1 - 17 = 9*g. What is the remainder when 74 is divided by 90/8 + ((-9)/4 - g)?
8
... | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of n(-5)?
2
Let t be 920/22 - 10/(-55). Suppose t = 4*r - 18. What are the prime factors of r?
3, 5
Let c be (-5)/(-2)*2*-1. Let t = 1 - c. What are the prime factors of t?
2, 3
Suppose -3*j = -7*j. Suppose j*t - t = -44. Let y = t - 31. List the prime factors of y.
13
Let j = -248 + 581. What are the p... | {
"pile_set_name": "DM Mathematics"
} |
es 90 divide 175978980?
True
Is 42885852 a multiple of 2174?
False
Does 2 divide 12478858?
True
Is 5317 a factor of 248665456?
True
Does 31 divide 481175707?
True
Is 15 a factor of 6595432?
False
Does 117 divide 225053412?
False
Is 100492733 a multiple of 11?
True
Is 185236460 a multiple of 3260?
True
Does 49 divide 26... | {
"pile_set_name": "DM Mathematics"
} |
265/159)/(50/12). Which is the nearest to t? (a) -0.3 (b) 9 (c) -0.06
c
Let l = -90 - -269/3. Let y = -14/15 - l. What is the closest to 1/2 in 1, 1/6, y?
1/6
Let h = -6 - -5.9. Let q be 1*((-2)/(-3))/(-2). Let n = 24 - 23.9. Which is the closest to n? (a) 0 (b) h (c) q
a
Suppose 0 = 3*h - 243*n + 239*n - 10, 4*h... | {
"pile_set_name": "DM Mathematics"
} |
1, 171, -23 in descending order.
171, -1, -4, -5, -23
Put 4, -262994, 0 in increasing order.
-262994, 0, 4
Put 31194, -437, -4 in ascending order.
-437, -4, 31194
Sort -1/279, 0.5, -0.055, 3, 2/15.
-0.055, -1/279, 2/15, 0.5, 3
Put -2, -1608, 780 in increasing order.
-1608, -2, 780
Put -8, -0.9845, -11, 4 in descending ... | {
"pile_set_name": "DM Mathematics"
} |
at is -67.69 rounded to the nearest 10?
-70
What is -0.000007938 rounded to 6 dps?
-0.000008
Round -30514 to the nearest 1000.
-31000
Round -0.1878 to 1 dp.
-0.2
What is 4.895 rounded to the nearest integer?
5
What is 1.0115 rounded to two dps?
1.01
What is -0.0000040312 rounded to 7 dps?
-0.000004
Round -1545700 to th... | {
"pile_set_name": "DM Mathematics"
} |
of 136 and 1598?
34
What is the greatest common factor of 68 and 102?
34
Calculate the greatest common factor of 245 and 112.
7
What is the greatest common divisor of 288 and 324?
36
Calculate the highest common divisor of 31 and 155.
31
Calculate the highest common divisor of 12 and 68.
4
Calculate the highest common... | {
"pile_set_name": "DM Mathematics"
} |
) 0 (e) 0.4
b
Which is the third biggest value? (a) -4 (b) -37 (c) -3 (d) 0.1 (e) 0.2
c
What is the smallest value in 8, 0.3, -6.2, -4?
-6.2
What is the third biggest value in -3, -23, 5, -199/18, 0.5?
-3
Which is the third smallest value? (a) 0.1 (b) 117 (c) -1.8 (d) -4.1
a
What is the third biggest value in... | {
"pile_set_name": "DM Mathematics"
} |
94 in descending order.
20, 6, 4, 1, -2, -4, -1194
Sort 2, -2, -4, -554, -3, 4, 586 in descending order.
586, 4, 2, -2, -3, -4, -554
Sort -8937, -4, 7171 in descending order.
7171, -4, -8937
Put 315, -5, -3, -4/23, -2/7, 3 in increasing order.
-5, -3, -2/7, -4/23, 3, 315
Sort -145, 4, 0.1, -640/23 in decreasing order.
... | {
"pile_set_name": "DM Mathematics"
} |
6.
5
Suppose -32*u + 28*u + 160 = 0. Calculate the remainder when 119 is divided by u.
39
Suppose -4*c = -0*c + n - 429, 0 = -3*c - 2*n + 328. What is the remainder when c is divided by 55?
51
What is the remainder when 54 is divided by (-1)/((-10)/(-11) - 1)?
10
Let o(w) = w - 10. Let i be o(6). Let k = i - -4. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
*(0 + 4/10). Which is smaller: r or f?
r
Suppose -3*d - d = 0. Suppose d = -8*y + 10*y - 8. Let p = -8 + 5. Which is bigger: y or p?
y
Suppose -5*a + g = -121, 4*a = -3*g + 160 - 48. Is 25 >= a?
True
Let y = -30 + 27. Let p be 32/14 - (-4)/(-14). Suppose 0*d - 2 = -p*d. Is y >= d?
False
Let g be (2/(-34))/(10/8). Suppo... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -34*f + 39 = -29*f + 4*h, -f - 5*h + 33 = 0. Solve 6*q = 5*k + f*q + 7, 5*q = -5 for k.
-2
Let n(l) = l**3 + 20*l**2 - 41*l + 68. Let c be n(-22). Suppose -c*a = -0*w + w - 4, -4*a + 4*w = -20. Solve -a*t + 2 = -g - 4*t, -4*g - 23 = -t for g.
-5
Let p = 5 - 2. Let y(a) be the first derivative of 2*a**3/3 + 9*a... | {
"pile_set_name": "DM Mathematics"
} |
b + 1074 = 0, -2153 = -4*q - b. What is the remainder when q is divided by 3?
1
Let o(u) = -u**3 - 6*u**2 + 3*u + 3. What is the remainder when o(-7) is divided by (-12)/78 + -85*(-77)/715?
4
Suppose -5*h = 18*y - 21*y + 960, y - 310 = 5*h. What is the remainder when y is divided by 97?
34
Let q = -42 - -48. Let l = 21... | {
"pile_set_name": "DM Mathematics"
} |
ater: t or x?
t
Suppose 0 = -3*x + 5*x - 8. Suppose 0 = -u - x*t - 6, 18 = -3*u + 2*t - 6*t. Let n be (u - -8) + (-8)/6. Are 0 and n non-equal?
True
Let g be -1 + (-786)/96 - -9. Which is greater: 0.4 or g?
0.4
Suppose y - 6*y = 0. Suppose z + q + 13 = y, -z - 3*z - 50 = 2*q. Let j be (1 - 1)/(z/(-4)). Which is smaller... | {
"pile_set_name": "DM Mathematics"
} |
e i(w).
1
Let v(b) be the second derivative of -5*b**4/24 - b**3/6 - b**2/2 + 2*b. Let m(s) be the first derivative of v(s). Let p be (-12)/5 - 14/(-35). Calculate m(p).
9
Let z(c) = c**3 + 2*c**2 - 5*c + 7. Let v(t) = t - 1. Let l(p) = 6*v(p) + z(p). Determine l(-1).
1
Suppose -2*h = 2*a + 2*a + 12, h = -4*a - 10. Let... | {
"pile_set_name": "DM Mathematics"
} |
d 345.752 to the nearest one hundred.
300
Round -356899 to the nearest ten thousand.
-360000
Round -1.40977 to one decimal place.
-1.4
What is 62211700 rounded to the nearest one million?
62000000
What is -0.0080330818 rounded to four decimal places?
-0.008
What is -0.0247556 rounded to 4 decimal places?
-0.0248
What i... | {
"pile_set_name": "DM Mathematics"
} |
*k + 3*k)*(-3 + 3*k**2 + 3) + (2*k - 5*k**2 - 2*k)*(-3*k + 0*k + 2*k).
-31*k**3
Expand (-4*q + q + 2*q)*(-q**2 + 9*q**2 - 2*q**2)*(-2 - 4 - 6).
72*q**3
Expand 45*k**2 - 51*k**2 + 7 - 5 + 11*k + 2*k**2 - 2*k**2 + 2*k**2 + (1 + 2*k - 1)*(-4*k + 6*k - 4*k) + 4*k - 4*k - 2*k**2 - k**2 + 0*k**2 + 3*k**2.
-8*k**2 + 11*k + 2
... | {
"pile_set_name": "DM Mathematics"
} |
= 0, h + 4*c = -21. Is h not equal to a?
True
Let c be (2/(-3))/(11/(-66)). Suppose 0 = 3*n - c*x - 49, 5*x - 128 = -5*n - 23. Which is bigger: n or 17?
n
Let f(v) = v**3 - 20*v**2 - 17*v - 22. Let i be ((-5)/(-20))/((-6)/8)*-63. Let t be f(i). Do t and 61 have different values?
True
Let u = 1046 - 1705. Is -659 at lea... | {
"pile_set_name": "DM Mathematics"
} |
12 a factor of (-870 - -38786)/(-6*(-4)/6)?
False
Suppose 2*d - 5*p = 12545, 4*d - 22*p = -21*p + 25063. Is d a multiple of 233?
False
Suppose 14*q = 8*q + 30. Let p = 12 - 7. Suppose 5*z - 27 = -q*b + 83, -22 = -z - p*b. Is 22 a factor of z?
True
Suppose 15*z - 9*z - 48924 = 0. Let b = z - 14119. Is 20 a factor of b/... | {
"pile_set_name": "DM Mathematics"
} |
of ((-136)/(-8) - 21)/((-276)/(-21) - (22 - 12))?
-14/11
What is the value of (36 + (-157687)/4384)*-3776?
-118
What is 4/3*(-48)/7808*-4?
2/61
((-4432)/(-96) + -47)/40
-1/48
70/(-84)*((-6)/(-27) - (-164)/(-252))
5/14
Calculate ((-592)/10)/(37937/6430) - -10.
-2/59
Evaluate (1 + (-16)/22)/(20570/(-226270)).
-3
Evaluate... | {
"pile_set_name": "DM Mathematics"
} |
((a**1*a)/a*a**(-1/6))/(a**0/(((a**(2/15)/a)/a*a)/a))) assuming a is positive.
a**(-6059/30)
Simplify (((y/(y/y**(1/5)*y)*y)/y)/(y/y**(2/11)))/((y*y*y/y**(-4)*y)/(y**(-5)*y))*((y**(1/3)*y)/y)/(y**(1/4)/y)*(y**(-1/2))**(12/5) assuming y is positive.
y**(-1813/132)
Simplify (q**(7/4)/q*((q*q**(-31)/q)/q)/q*q*(q/q**46)/(q... | {
"pile_set_name": "DM Mathematics"
} |
**4/6 - 128*j**3/3 - 84*j**2 + 287*j. Determine y, given that l(y) = 0.
-6, -1/2, 2, 7
Let s be (-16)/(-6)*(-24)/(-32). Let v(p) = 7*p**3 + 27*p**2 + 38*p + 20. Let c(u) = 15*u**3 + 55*u**2 + 75*u + 40. Let x(k) = s*c(k) - 5*v(k). Factor x(f).
-5*(f + 1)*(f + 2)**2
Let u(i) be the first derivative of 0*i + 6/5*i**2 + 1... | {
"pile_set_name": "DM Mathematics"
} |
0*q**5. Find h such that l(h) = 0.
-1, 0, 1
Suppose -4/11*v - 8/11*v**2 + 2/11*v**4 + 6/11 + 4/11*v**3 = 0. Calculate v.
-3, -1, 1
Let p(s) be the second derivative of -s**7/168 + s**6/60 + s**5/40 - s**4/6 + 7*s**3/24 - s**2/4 - 2*s. Determine j, given that p(j) = 0.
-2, 1
Let d(z) be the first derivative of -2*z**3/... | {
"pile_set_name": "DM Mathematics"
} |
hest common divisor of 20 and 1529260.
20
Calculate the greatest common divisor of 335088 and 432.
144
Calculate the highest common factor of 37 and 2810.
1
Calculate the greatest common factor of 2349 and 81891.
81
What is the greatest common divisor of 675 and 4925?
25
What is the greatest common divisor of 65225 and... | {
"pile_set_name": "DM Mathematics"
} |
tive.
k**(1920/203)
Simplify ((((k**(2/9)*k)/k)**(-6/29)/(k**(-3/4)*k*k)**47)**(-27/2))**(1/34) assuming k is positive.
k**(184149/7888)
Simplify (((i/(i/(((i/i**(1/36))/i)/i*i)*i))/i**(8/3))/((i**(2/11)*i)/i)**(1/29))**(-2/3) assuming i is positive.
i**(42499/17226)
Simplify ((g**(-4))**(-19)*(g**(4/3))**(-19))**(-35)... | {
"pile_set_name": "DM Mathematics"
} |
r of 144 and 10.
2
What is the greatest common divisor of 535 and 5671?
107
Calculate the highest common divisor of 1898 and 13.
13
Calculate the highest common factor of 88692 and 57.
57
Calculate the highest common divisor of 3576 and 24.
24
Calculate the highest common factor of 6844 and 232.
116
Calculate the great... | {
"pile_set_name": "DM Mathematics"
} |
ate the greatest common divisor of f and s.
6
Suppose -4*p - p - 5*k + 35 = 0, p = -2*k + 12. Suppose d - 83 = -3*z, 4*d + 0*z + p*z - 362 = 0. What is the greatest common divisor of d and 138?
46
Let u be (-2 - -5)/(-1 - -2). Let q be (42/10)/(6/450). Suppose 18*v - q - 279 = 0. Calculate the highest common factor of ... | {
"pile_set_name": "DM Mathematics"
} |
factor of 225 and c?
9
Suppose 4*r - 72 = 520. Suppose -5*v = -132 - r. Let k(g) = -g**3 - 11*g**2 - 19*g - 1. Let l be k(-9). What is the highest common divisor of l and v?
8
Suppose 128 = 3*q + 2*p, -4*q + 5*q = 4*p + 24. Suppose 120 = 15*a - 9*a. What is the greatest common divisor of a and q?
20
Suppose 0 = 5*u + 5... | {
"pile_set_name": "DM Mathematics"
} |
of 0 - 1/720*z**6 + 0*z**3 - 1/24*z**5 - 1/8*z**4 + z**2 + 0*z. Let w(r) be the second derivative of x(r). Give w(-4).
-1
Let q(s) be the third derivative of -s**4/4 + 2*s**3/3 + 2*s**2 + 5. Calculate q(5).
-26
Let k(y) = y + y**3 - 7 + y + 0*y**3 - 6*y**2 - y. Give k(6).
-1
Let n(p) be the second derivative of p**4/12... | {
"pile_set_name": "DM Mathematics"
} |
9?
True
Is 34 a factor of 1009774262?
True
Is 8581254 a multiple of 23?
True
Is 612024798 a multiple of 2037?
True
Is 584872428 a multiple of 2199?
True
Is 56 a factor of 7693234?
False
Is 28619415 a multiple of 45?
True
Does 28 divide 34457908?
False
Is 99671720 a multiple of 3130?
True
Is 48283928 a multiple of 2884?... | {
"pile_set_name": "DM Mathematics"
} |
1
Let f be (-1)/3 + 183/9. Let a be f/8*(-2 + -2). Let u = a - -16. Solve i = u*i + 2*m - 27, 3*m = 3 for i.
5
Let n(u) = u**2 - 7*u - 21. Let b be n(15). Let s = 102 - b. Solve 0 = -5*v + 4*r - 28, -v + 18 = -s*v + 5*r for v.
-4
Let n = -633 + 635. Solve -3*y = -4*u - 4*y - 4, u + 1 = n*y for u.
-1
Suppose 0 = -0*u +... | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence goig?
3/1001
Four letters picked without replacement from ycyywywywwaw. What is prob of sequence wacw?
1/594
What is prob of sequence hshs when four letters picked without replacement from sssssshsssssssssssh?
1/171
Calculate prob of sequence qqu when three letters picked without replacement f... | {
"pile_set_name": "DM Mathematics"
} |
1/2, to the nearest integer?
27172
What is the square root of 249524671 to the nearest integer?
15796
What is the square root of 35267811 to the nearest integer?
5939
What is 71079903 to the power of 1/4, to the nearest integer?
92
What is 197363720 to the power of 1/4, to the nearest integer?
119
What is the tenth roo... | {
"pile_set_name": "DM Mathematics"
} |
7?
3
What is the thousands digit of 8423897?
3
What is the thousands digit of 2238510?
8
What is the millions digit of 6556742?
6
What is the ten thousands digit of 384890?
8
What is the hundred thousands digit of 214889?
2
What is the units digit of 618246?
6
What is the units digit of 1137981?
1
What is the hundred t... | {
"pile_set_name": "DM Mathematics"
} |
b) + 7*u(b).
b**2 - 13*b - 1
Let o(g) = -7*g**3 + 3*g**2 + 3*g - 39. Let x(p) = -5*p**3 + 3*p**2 + 2*p - 39. Give -2*o(f) + 3*x(f).
-f**3 + 3*f**2 - 39
Let d(l) = 666*l**3 - 444*l**2 + 444. Let b(i) = i**3 - i**2 + 1. Determine 444*b(q) - d(q).
-222*q**3
Let k(p) = -54*p + 5. Let v(a) = 55*a - 4. What is 3*k(s) + 4*v(s... | {
"pile_set_name": "DM Mathematics"
} |
g = -3. Let v(h) be the second derivative of 0 - 49/15*h**6 - 119/10*h**5 + 6*h + 0*h**2 - p*h**3 + 40/3*h**4. Factor v(s).
-2*s*(s + 3)*(7*s - 2)**2
Let l(b) be the third derivative of b**7/105 - b**6/6 + 37*b**5/30 - 5*b**4 + 12*b**3 + 6*b**2 - 8. Factor l(k).
2*(k - 3)**2*(k - 2)**2
Let l(f) be the second derivativ... | {
"pile_set_name": "DM Mathematics"
} |
3, what is 1102 + -2022111211?
-2022110102
In base 10, what is -31712 + -45?
-31757
In base 6, what is -3545140 + -3?
-3545143
In base 16, what is 44c1 + -6?
44bb
In base 10, what is 923 - -17?
940
In base 10, what is -912 + 2074?
1162
In base 8, what is 5766 + -4?
5762
In base 10, what is 9843 + -71?
9772
In base 5, w... | {
"pile_set_name": "DM Mathematics"
} |
t b(h) be the first derivative of -233*h**4/2 + 1384*h + 1151. What is the derivative of b(j) wrt j?
-1398*j**2
Let a be 14 + -5 + 1*5. Let c be (1 - (-3)/(-7))/(4/a). What is the second derivative of 65*r - 51*r - 17*r**2 - 37*r - 10*r**c wrt r?
-54
Let d(j) be the third derivative of 3*j**2 - 1/60*j**5 + 1/56*j**8 + ... | {
"pile_set_name": "DM Mathematics"
} |
73/153)
Simplify n**6*((n*n*n/n**(-4))/n)/n*n*n**(-4)/n**(-1/2)*(n**(-1/3))**(-46)/((n*n*n*n**(2/9)*n*n*n)/(n*n*n*(n/n**1)/n*n*n)) assuming n is positive.
n**(389/18)
Simplify ((h**(-1))**(3/8))**(3/28)/((h**(1/2))**(-16)*h/(h*h/(h/(h*h/(h*((h/((h**(-4/7)*h)/h))/h)/h)*h)*h)*h)*h*h*h**(2/7)*h) assuming h is positive.
h*... | {
"pile_set_name": "DM Mathematics"
} |
- 159 + 1001 for u.
-70
Solve -2391 - 328 - 515 = 102*c + 132 for c.
-33
Solve -12923 = -791*p + 18717 for p.
40
Solve -102 = -68775*y + 68673*y + 102 for y.
2
Solve -3409*p + 2356*p = -103194 for p.
98
Solve 0 = 9167*j + 275016 + 531680 for j.
-88
Solve 614*h + 250473 = 9251*h for h.
29
Solve -300*n + 20860 = 474*n -... | {
"pile_set_name": "DM Mathematics"
} |
wer of 1/2, to the nearest integer?
30
What is 101071 to the power of 1/3, to the nearest integer?
47
What is the square root of 4466 to the nearest integer?
67
What is the square root of 13579 to the nearest integer?
117
What is the cube root of 27785 to the nearest integer?
30
What is 5960 to the power of 1/3, to the... | {
"pile_set_name": "DM Mathematics"
} |
18.
14
Calculate the remainder when 17103 is divided by 1227.
1152
What is the remainder when 10734 is divided by 103?
22
What is the remainder when 5146 is divided by 178?
162
Calculate the remainder when 20589 is divided by 6860.
9
What is the remainder when 662455 is divided by 857?
851
Calculate the remainder when ... | {
"pile_set_name": "DM Mathematics"
} |
v**2 + 132*v**2 - 62*v**2.
v**2
Collect the terms in 5 + 108*q + 118*q - 214*q.
12*q + 5
Collect the terms in 8*t**2 + 103*t - 49*t - 54*t - 2*t**2.
6*t**2
Collect the terms in -87*z**3 - 84*z**3 - 84*z**3 + 260*z**3.
5*z**3
Collect the terms in q**3 - 3*q**3 + 5*q**3 - 2*q**3.
q**3
Collect the terms in 4*p**2 - p**2 +... | {
"pile_set_name": "DM Mathematics"
} |
889/5
-9065 divided by 1813
-5
What is -4857 divided by -175?
4857/175
Divide 603307 by 5339.
113
Calculate 0 divided by -5798.
0
Calculate 736506 divided by -3.
-245502
Calculate 7193 divided by -41.
-7193/41
4814478 divided by -2034
-2367
Divide -123278 by -2.
61639
101 divided by -4385
-101/4385
Calculate -18268 div... | {
"pile_set_name": "DM Mathematics"
} |
or of 30 and f.
6
Suppose -5*x + 1 = -4. Suppose 5*v + 0*v = 20. Suppose -v*k - k = -35. What is the greatest common factor of x and k?
1
Let y(t) = -81*t**3 - t. Let w be y(-1). Let k = w - 293. Let x = -139 - k. Calculate the highest common divisor of 8 and x.
8
Let z be -1 + (-5)/(10/(-18)). What is the highest comm... | {
"pile_set_name": "DM Mathematics"
} |
the nearest to s? (a) w (b) 2 (c) -2/5
c
Let m = -0.44 + -3.16. Let l = 1.4 - m. Let y = 0.159 - 0.169. What is the nearest to -1 in 2/15, y, l?
y
Let f = -9 - -9.3. Let u = -185 + 185.173. Let n = -1.173 + u. Which is the closest to 1? (a) f (b) -2 (c) n
a
Let l be (-1053)/297 + (-4 - -7). Let o = 7 + -6.9. Whi... | {
"pile_set_name": "DM Mathematics"
} |
c(b) = 22*b**2 - 3*b + 2. What is the remainder when 39 is divided by c(1)?
18
Calculate the remainder when 65 is divided by (-78)/(-3) + (3 - 7).
21
Let s(d) = d**2 + 7*d. Let k be s(-7). Suppose 4 = -2*g, -42 = -4*p - 3*g - k*g. Let m = 130 - 108. What is the remainder when m is divided by p?
10
Calculate the remaind... | {
"pile_set_name": "DM Mathematics"
} |
the highest common divisor of m and 36?
18
Suppose -77*s = 1207 - 3594. What is the greatest common divisor of 3503 and s?
31
Suppose 8*p - 312 = -5*p. Calculate the greatest common factor of p and 588.
12
Let g = 52 - 47. Suppose -2*p + 25 = -g*k - 8, -4*p = 3*k - 27. What is the highest common divisor of 45 and p?
9
... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*o**3. Solve q(x) = 0.
0, 1
Suppose 4*o + g = 2 + 9, 2*o = -3*g + 13. Let u(c) = 2*c**4 - c**3 - 2*c - 2. Let y(b) = b**4 - b**3 + b**2 - b - 2. Let p(k) = o*u(k) - 3*y(k). Factor p(h).
(h - 1)**2*(h + 1)*(h + 2)
Let r(t) be the third derivative of -3*t**7/70 + 7*t**6/120 + t**5/30 + 8*t**2. What is v in r(v) = 0?
-... | {
"pile_set_name": "DM Mathematics"
} |
e d(v(w)).
10*w
Let k(m) = m. Suppose 7 = -5*b + 2. Let i be (2 - 0) + b - 0. Let s(z) = -i + 1 + 3*z**2. Give s(k(j)).
3*j**2
Suppose -2*j + 4*u = -u - 27, -3*u = 2*j - 3. Let s(g) = -g - 14*g + j*g + 5*g. Let o(n) be the third derivative of -n**5/60 - 3*n**2. What is o(s(x))?
-16*x**2
Let w(y) be the second derivativ... | {
"pile_set_name": "DM Mathematics"
} |
fy (-4*2*sqrt(49)*-2)/(6*sqrt(28)*-2 + sqrt(28)) + 0.
-8*sqrt(7)/11
Simplify 2*(5 + sqrt(1008) + ((1 + sqrt(1008))*1)**2 + (1 + sqrt(1008) - sqrt(1008))**2 + -3 + -4).
72*sqrt(7) + 2016
Simplify (-2 + sqrt(245) + 3 - (sqrt(245) + sqrt(245)*3 + -4)) + 0 + (1 + sqrt(245))*-3 + 2 + -2.
-42*sqrt(5) + 2
Simplify (3 + ((0 + ... | {
"pile_set_name": "DM Mathematics"
} |
olve -395*t + 2974 = -8481 for t.
29
Solve 83*j + 656 = -30*j + 72*j for j.
-16
Solve 0 = -8*i - 1 + 6 + 19 for i.
3
Solve 17*u - 28 = -0*u - 11*u for u.
1
Solve -14*a - 20*a = 10*a - 88 for a.
2
Solve -1198*w = -1177*w + 315 for w.
-15
Solve -134*h - 142*h = -78*h + 990 for h.
-5
Solve 38 = -24*w + 89 + 93 for w.
6
So... | {
"pile_set_name": "DM Mathematics"
} |
o = -f + 376, -o - 1958 = -f - 4*f. Is f composite?
True
Suppose 2370 = h + 3*x, 6*h = 3*h - 5*x + 7098. Is h a composite number?
True
Suppose 3*p = -3*y + 48, -5*y + 97 = -3*p + 25. Let n be 1 + 1 + -4 + y. Suppose -152 = -4*x - 4*a, x - 2*a = 2*a + n. Is x composite?
True
Let j(r) = r**3 + 4*r**2 - r - 3. Let w be j(... | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of 12 and 3774156?
12
Calculate the highest common divisor of 408 and 1340.
4
What is the greatest common factor of 165 and 1900195?
55
Calculate the greatest common divisor of 118 and 666877.
59
What is the greatest common factor of 32 and 39784?
8
What is the highest common divisor of 2894 and 2157477?
1... | {
"pile_set_name": "DM Mathematics"
} |
. Find f such that d(f) = 0.
-1, 15
Suppose 0 + 0*b - 1/5*b**5 - 2/5*b**4 - 1/5*b**3 + 0*b**2 = 0. Calculate b.
-1, 0
Factor -1/2*v**3 - 3/2*v**2 - 3/2*v - 1/2.
-(v + 1)**3/2
Let u(p) be the first derivative of 32*p + 18 - 7 + 24*p**2 + 4*p**4 + 8*p**3 - 3*p**4 + 0*p**3. Factor u(y).
4*(y + 2)**3
Suppose -3*w + 11*w = ... | {
"pile_set_name": "DM Mathematics"
} |
*k*k*k)/k*k*k**(-6)))/(k**(1/7)/k**(-1/10)*(((k**0*k)/k)/k)**(6/23)) assuming k is positive.
k**(6469/1610)
Simplify (((w*w*w**(1/4)/w*w)/w)**(-45)/(w**(-3/5)/w**6))/(w*(w*((w*w**(2/11))/w)/w)/w*w*w*w**2*(w/(w*w**2))/w**(-8)) assuming w is positive.
w**(-13163/220)
Simplify (o*o**(-2/7)/o)/(o*o/(o**(-5)*o)*o)*(o*o*o*o*... | {
"pile_set_name": "DM Mathematics"
} |
5 PM and 9:20 PM?
265
How many minutes are there between 5:11 PM and 6:14 PM?
63
How many minutes are there between 12:29 PM and 1:05 PM?
36
How many minutes are there between 2:36 PM and 6:31 PM?
235
What is 67 minutes before 6:00 PM?
4:53 PM
How many minutes are there between 4:45 AM and 5:20 AM?
35
How many minutes ... | {
"pile_set_name": "DM Mathematics"
} |
prime number?
False
Is 35591 a prime number?
True
Is 1065629 a composite number?
False
Is 591263 composite?
True
Is 192697 composite?
False
Is 2559691 a composite number?
False
Is 2847661 a prime number?
True
Is 50191 composite?
True
Is 41533 prime?
False
Is 37717 a prime number?
True
Is 28961 a prime number?
True
Is 4... | {
"pile_set_name": "DM Mathematics"
} |
the highest common factor of 4675 and 649.
11
Calculate the greatest common factor of 19900 and 300.
100
What is the highest common divisor of 3367 and 6097?
91
What is the highest common factor of 26754 and 246?
6
What is the greatest common divisor of 116038 and 3562?
26
What is the highest common divisor of 527 and ... | {
"pile_set_name": "DM Mathematics"
} |
48 PM?
9:21 AM
How many minutes are there between 6:08 PM and 2:53 AM?
525
How many minutes are there between 3:08 AM and 5:40 AM?
152
How many minutes are there between 7:37 PM and 6:34 AM?
657
How many minutes are there between 11:18 PM and 8:13 AM?
535
What is 491 minutes before 4:48 AM?
8:37 PM
What is 120 minutes ... | {
"pile_set_name": "DM Mathematics"
} |
89
What is 273974 (base 13) in base 3?
1210022010212
What is -2238 (base 16) in base 10?
-8760
Convert 1342120 (base 5) to base 8.
66211
Convert 304bea (base 16) to base 12.
1087836
What is -675698 (base 10) in base 4?
-2210331302
What is 923454 (base 12) in base 11?
1322105
Convert 10223231121 (base 4) to base 12.
4b2... | {
"pile_set_name": "DM Mathematics"
} |
osite?
False
Suppose -3 = 3*u + 3. Let w = u + 17. Is w a composite number?
True
Let g(c) = 8*c + 1. Let b be g(-5). Let x = 244 + b. Let w = 362 - x. Is w composite?
False
Let g(u) = u**2 - 5*u + 3. Let s be g(-5). Let b = -32 + s. Suppose 5*m = 4*m + b. Is m composite?
True
Let g(t) = -11*t**2 + 2. Let m be g(-3). Le... | {
"pile_set_name": "DM Mathematics"
} |
Let k be (2/(-1 + -3))/(10/4). What is the second smallest value in -5, k, v?
v
Let n = -0.092 + 0.175. Let f = n - 3.083. Which is the third smallest value? (a) f (b) 4 (c) 0.03
b
Let t = -4.375 - 0.625. Which is the third biggest value? (a) -3 (b) 0.7 (c) t
c
Let v = 1690 + -204487/121. Let o = v - 281/1573. Wh... | {
"pile_set_name": "DM Mathematics"
} |
d(-11).
33
Let f(w) = -w + 27. What is f(9)?
18
Let k(d) = -d**2 + 15*d + 37. Determine k(18).
-17
Let m(h) = h**2 + 9*h - 23. What is m(-8)?
-31
Let n(f) = 58*f - 238. Determine n(4).
-6
Let p(k) = 11*k**2 - 77*k + 14. What is p(7)?
14
Let p(y) = 2*y**3 - 13*y**2 - 6*y + 17. What is p(6)?
-55
Let c(l) = -5*l**2 + 5*l ... | {
"pile_set_name": "DM Mathematics"
} |
ate the common denominator of (-8)/52 + (-2979)/(-858) and a.
22
Suppose 0 = z - 3*d - 286, d + 435 = z + 149. Calculate the lowest common multiple of 7 and z.
2002
Suppose -36*c + 34*c = -44. What is the common denominator of 19/54 and (11 + 1)/(2 - c/20)?
54
Suppose 13 = 5*z - 2. Suppose 44 = 7*p - z*p. Calculate the... | {
"pile_set_name": "DM Mathematics"
} |
+ 2 + 0)*(-r + 3*r - r) + r - 2*r + 3*r) - 2*r - 3*r + 7*r.
66*r
Expand 3*y**2 - 3*y**2 - y**4 + (11*y - 7 + 7)*(-165 + 165 + 2*y**3 + 8*y).
21*y**4 + 88*y**2
Expand (-34*w - 6 + 2 - 17*w)*(4 - 4 + 2*w) - 3*w**2 + 3*w - 3*w.
-105*w**2 - 8*w
Expand (-27*t - 69*t + 128*t**2 - 130*t**2)*(3*t**2 - t**3 - 4*t**2 + 2*t**3).... | {
"pile_set_name": "DM Mathematics"
} |
first derivative of 271*a**3 - 209*a**2/2 + 600. Find the second derivative of c(i) wrt i.
1626
Let a = 545 - 541. Let g(d) be the first derivative of 0*d - 15 + a*d**2 - 28/3*d**3. Find the second derivative of g(f) wrt f.
-56
Let j(x) be the first derivative of -3421*x**7/7 - x**3 + 27*x**2/2 + 59. What is the third ... | {
"pile_set_name": "DM Mathematics"
} |
ppose -4*k + 5 = -5*k - l, 0 = -5*k + 3*l + 15. Suppose -2*s - 2*z = z - 19, 2*s + z - 9 = k. Suppose 30 = s*j + 3*j. List the prime factors of j.
2, 3
Suppose 0 = -3*q - 0*q + 48. What are the prime factors of q?
2
Let t = 78 - -153. What are the prime factors of t?
3, 7, 11
Suppose -118 - 66 = -2*y + 2*l, -440 = -5*y... | {
"pile_set_name": "DM Mathematics"
} |
1, 2637?
2815
What is next in -975, -3897, -8769, -15591, -24363, -35085?
-47757
What comes next: -98, -174, -250, -326?
-402
What comes next: 13, 32, 51?
70
What is the next term in -5, 15, 65, 145?
255
What is next in -182, -217, -274, -353, -454, -577?
-722
What is the next term in -441, -1724, -3853, -6822, -10625,... | {
"pile_set_name": "DM Mathematics"
} |
y to four decimal places.
0
Let o = -0.41 + -949.09. Round o to the nearest ten.
-950
Suppose 15*x = 61*x - 158884000. What is x rounded to the nearest one million?
3000000
Let l = 0.046 + 11.954. Let p = l + -11.9999916. Round p to six decimal places.
0.000008
Let z = -0.282 + 0.219. What is z rounded to 2 dps?
-0.06... | {
"pile_set_name": "DM Mathematics"
} |
the hundreds digit of 338909725?
7
What is the ten millions digit of 1235565306?
3
What is the ten millions digit of 944303345?
4
What is the units digit of 2103969949?
9
What is the ten millions digit of 175411470?
7
What is the tens digit of 70304563?
6
What is the ten millions digit of 3969906974?
6
What is the hun... | {
"pile_set_name": "DM Mathematics"
} |
*3 - 821 - 130 + 175 wrt y?
12*y**2 + 212*y
Let f be (0 + 1)/(9/657) - 4. What is the first derivative of 8*o - o - 9*o**3 - f - 2*o + 2*o wrt o?
-27*o**2 + 7
Let w(p) be the third derivative of -p**7/210 + 737*p**6/60 - p**5/15 + 17*p**4/24 + 2*p**3/3 + p**2 - 429. Find the third derivative of w(l) wrt l.
-24*l + 8844... | {
"pile_set_name": "DM Mathematics"
} |
nd -93/8.
40
What is the common denominator of 15/583 and 45/53?
583
What is the least common multiple of 33 and 57?
627
What is the smallest common multiple of 4 and 5388?
5388
What is the common denominator of 79/4 and -13/4?
4
Calculate the lowest common multiple of 33 and 207.
2277
Calculate the least common multip... | {
"pile_set_name": "DM Mathematics"
} |
98732 - w. What is p rounded to 7 dps?
-0.0000013
Let m = 287.4000002355 - 287.4. Round m to 7 decimal places.
0.0000002
Let s = -413 - -680. Let g = s - 267.001136. What is g rounded to 4 dps?
-0.0011
Let w = -176 + 34. Let y = w + 140.95. Round y to 0 dps.
-1
Let o = -28900.46 - -29175. Round o to the nearest one hun... | {
"pile_set_name": "DM Mathematics"
} |
qaqq.
5/36
Calculate prob of sequence nn when two letters picked without replacement from {l: 3, v: 5, n: 2}.
1/45
Three letters picked without replacement from {y: 5, k: 7}. What is prob of sequence yyk?
7/66
Calculate prob of sequence ng when two letters picked without replacement from xnggxnxxgnxxnx.
6/91
Two letter... | {
"pile_set_name": "DM Mathematics"
} |
= 4*n**2 + 25*n - 4. What is the units digit of j(-17)?
7
Let a be -3 - (54/(-3))/3. Suppose -5*n - a*q = 27, -2*q = -3*n + 3*q - 23. Let z = n + 19. What is the tens digit of z?
1
Suppose -5*d = 4*f - 0*f - 12, -3*d = 0. Suppose -471 = -2*v + 2*y + 3*y, f*v = 2*y + 690. What is the units digit of v?
8
Let c(w) = -w**3... | {
"pile_set_name": "DM Mathematics"
} |
rest integer?
10
What is the third root of 17624 to the nearest integer?
26
What is 2242 to the power of 1/4, to the nearest integer?
7
What is 557 to the power of 1/10, to the nearest integer?
2
What is the eighth root of 323 to the nearest integer?
2
What is 4490 to the power of 1/3, to the nearest integer?
16
What i... | {
"pile_set_name": "DM Mathematics"
} |
= 14*g - 25. Calculate -2*m(t) + 3*y(t).
11*t - 10
Let t(s) = -11*s**3 + 14*s**2 + 8851*s - 7. Let a(v) = 6*v**3 - 8*v**2 - 4424*v + 4. Give -7*a(f) - 4*t(f).
2*f**3 - 4436*f
Let z(k) = 1414*k - 15. Let x(o) = 2826*o - 27. Calculate 5*x(g) - 9*z(g).
1404*g
Let y(p) = -85*p**2 - 125*p + 41. Let k(f) = 30*f**2 + 42*f - ... | {
"pile_set_name": "DM Mathematics"
} |
((-40)/(-230)) - (2 - -8)?
3/25
Evaluate 81 + 7704/(-96) + (-35)/10.
-11/4
Evaluate (1 + 1)/((-20)/(-40)) - (-152 - -92).
64
141 + (55734480/(-4200))/94
-6/35
Evaluate (-17 - (-208)/12)*(-861)/(-7).
41
Calculate 12/(-3) + 30*(-1014)/(-9360).
-3/4
Calculate (16/(-9) - 10/(-5))/(254/(-1905)).
-5/3
Evaluate (-87)/(-3) + (... | {
"pile_set_name": "DM Mathematics"
} |
gto.
1/110
Four letters picked without replacement from eurlerrjeerlrebb. Give prob of picking 2 l and 2 e.
1/182
What is prob of picking 2 r when two letters picked without replacement from {v: 1, r: 3, m: 1}?
3/10
Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {z: 1, j: 2, w: 7... | {
"pile_set_name": "DM Mathematics"
} |
sand?
-3040000
What is 422977633.3 rounded to the nearest 10000?
422980000
What is -20017037.81 rounded to the nearest ten thousand?
-20020000
What is -0.0102827 rounded to 1 decimal place?
0
What is -537703.1701 rounded to the nearest 10000?
-540000
Round -6413.17121 to the nearest ten.
-6410
Round 58555306 to the nea... | {
"pile_set_name": "DM Mathematics"
} |
8*b. Suppose 0 = 2*m - 2, 5*m + b = 5*n. Is n composite?
False
Let b = 303 - 788. Let u be b/7 - (-6)/21. Let h = u - -152. Is h prime?
True
Suppose -8*s = 9*s - 153. Let q(a) = 7*a + 0*a - s*a + 1 + 260*a**2 - 2*a. Is q(1) prime?
True
Let d(q) = q**3 + 14*q**2 - q + 0*q**3 + 1 - 5*q**2 - 5. Let l be d(-9). Is (-4190)/... | {
"pile_set_name": "DM Mathematics"
} |
ultiple of -1 - 19/(1*(0 - 1)) and 3?
18
Suppose -1 - 7 = -2*r. Let k = 3 - -11. Suppose 2*p = -p - 6, k = 4*i - 3*p. What is the least common multiple of i and r?
4
Suppose 45 = 4*g + g. Suppose -11 - g = -5*a. Suppose 4*l - 2*r - 44 = 0, -a*r - 14 = 2. Calculate the smallest common multiple of 3 and l.
9
Let j = 9320... | {
"pile_set_name": "DM Mathematics"
} |
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