text stringlengths 270 8.19k | meta dict |
|---|---|
4, 7, -1 in descending order.
64, 7, 2, 0, -1, -33
Put 22.978, -1/6, 4, 0.2 in increasing order.
-1/6, 0.2, 4, 22.978
Sort 0, -2, 8, -1/1278.
-2, -1/1278, 0, 8
Sort 0.091, -3.4, -3, 2/11, 2 in descending order.
2, 2/11, 0.091, -3, -3.4
Sort 16, 216, -14 in descending order.
216, 16, -14
Put -0.28, -0.4, 0.06, 2, 1.03, ... | {
"pile_set_name": "DM Mathematics"
} |
4*y for g.
-2
Suppose 5*u - 6*u = -29. Suppose 0 = -5*j + 6 + u. Suppose -j*h + 20 = -2*h. Solve -4*z + 2*x + 12 = -z, -2*z - h*x = -8 for z.
4
Suppose 6 - 4 = -2*y, 4*s - 3 = -y. Let v be (0 + s)/((-2)/(-14)). Solve 1 = -p, 0 = -2*u + 2*p - v*p - 1 for u.
2
Let v = 104 - 104. Suppose -2*p + 3*b + 37 = v, -2*p + 2*b +... | {
"pile_set_name": "DM Mathematics"
} |
mal places?
0.00028
Round -92985.7 to the nearest 1000.
-93000
What is 0.002260675 rounded to five decimal places?
0.00226
Round 247158000 to the nearest 1000000.
247000000
Round 124.960011 to two decimal places.
124.96
Round -0.09736186 to 2 decimal places.
-0.1
What is -0.00070657 rounded to 5 decimal places?
-0.0007... | {
"pile_set_name": "DM Mathematics"
} |
llest value? (a) -0.2 (b) -1.05 (c) 58/3
a
Which is the third biggest value? (a) -24 (b) 0.3 (c) -3 (d) -5
d
What is the third biggest value in 0.7, 1/291, 1/3, 0.3?
0.3
Which is the second biggest value? (a) -3 (b) -2/7 (c) 0 (d) -0.4
b
What is the third biggest value in 2, 0, -2?
-2
Which is the second big... | {
"pile_set_name": "DM Mathematics"
} |
d -0.000001370334793 to 6 dps.
-0.000001
What is -57.1314748 rounded to 0 decimal places?
-57
Round 3590.18327 to the nearest one thousand.
4000
What is 32.259923 rounded to 1 dp?
32.3
Round -909821.613 to the nearest ten thousand.
-910000
Round 0.06830964278 to 4 decimal places.
0.0683
Round 0.015910651 to two dps.
0.... | {
"pile_set_name": "DM Mathematics"
} |
by v(-12).
5
Let k(q) = 4*q**2 + 129*q + 38. What is the remainder when k(-37) is divided by 24?
21
Let n = -177 - -334. Calculate the remainder when n is divided by 53.
51
Let k(a) = 14*a - 18. What is the remainder when (-2 - -2 - -36) + 3 is divided by k(2)?
9
Let s = 11 + -7. Suppose 9*v - 15 = s*v. Suppose -4*g + ... | {
"pile_set_name": "DM Mathematics"
} |
16452?
True
Is 34 a factor of 55216?
True
Does 1372 divide 1743546?
False
Is 55 a factor of 617212?
False
Does 159 divide 269505?
True
Is 102638 a multiple of 88?
False
Is 14 a factor of 2735152?
True
Does 163 divide 32373?
False
Does 156 divide 1058460?
True
Is 776950 a multiple of 33?
False
Is 198463 a multiple of 17... | {
"pile_set_name": "DM Mathematics"
} |
19*b. Let c be u(1). Let a be (-36)/c + (-6)/(-10). Solve o = -a*o + 2 for o.
2
Let a(g) be the first derivative of 9*g**2 - 1/4*g**4 + 14 - 2*g**3 + 20*g. Let m be a(-8). Solve j + 0*j = m for j.
4
Let d(t) = t**3 + 1. Let i be d(1). Suppose -p - 5*k + 17 = -3*p, -2*p + 4*k - 16 = 0. Let h be (0*3/p)/(6 + -7). Solve ... | {
"pile_set_name": "DM Mathematics"
} |
th term of -305, -1120, -2447, -4286, -6637, -9500, -12875?
-256*w**2 - 47*w - 2
What is the j'th term of 1176, 1162, 1140, 1110, 1072, 1026?
-4*j**2 - 2*j + 1182
What is the h'th term of 12175, 24352, 36529?
12177*h - 2
What is the z'th term of 1364, 2651, 3932, 5207, 6476, 7739, 8996?
-3*z**2 + 1296*z + 71
What is th... | {
"pile_set_name": "DM Mathematics"
} |
1 + 3)) + (12 - 22).
0
What is the value of (-9 - -16) + (-14 - -3) - -2?
-2
Evaluate 11 - (-37 + 25 - (8 - 36)).
-5
What is the value of (18 + -33 - -25) + -22?
-12
-171 - -180 - (1 + 0)
8
Calculate (-1 + 13 - (4 + -2)) + -2 - 27.
-19
6 + 5 + -24 + -10 - -7
-16
Calculate (2 - (5 + (-5 - 1))) + -12.
-9
Calculate (43 - ... | {
"pile_set_name": "DM Mathematics"
} |
e -x = -k*x + 18. Determine u(x).
-4
Let c(g) = -45*g**3 - 13*g**2 + g - 1. Let q(k) = -14*k**3 - 4*k**2 + 1. Let d(h) = 5*c(h) - 16*q(h). Give d(3).
-42
Let t(v) = -15 + 36 - 22 - 4*v. Let n be (-1 + 0)/(((-10)/42)/5). Let m be (-12)/(-14) + 3/n. What is t(m)?
-5
Let y be ((-10)/6)/((-165)/1089). Let i be y/385*125 - ... | {
"pile_set_name": "DM Mathematics"
} |
j (c) -0.5
c
Let l = -12 + 12. Suppose l + 8 = 4*k. Let u = 46 - 49. Which is the smallest value? (a) k (b) u (c) -6
c
Let d be 3/(84/(-68)) - -3. Let a(b) = 8*b - 172. Let g be a(21). What is the second smallest value in -0.1, d, g?
-0.1
Let z = -2.129 + 0.019. Let w = 2.2 + z. Let j = 0.59 - w. What is the third... | {
"pile_set_name": "DM Mathematics"
} |
. Let c = -28 + 31. Suppose 5*f - c*y - 31 = 22, -5*f + 5*y + 45 = 0. Calculate the greatest common divisor of f and h.
13
Let t be 46/(-5) + 4/(-5) + 1. Let z be 60/(-4 - t) + 1/1. Suppose 32 = -2*p + 214. Calculate the greatest common divisor of z and p.
13
Suppose -135 = 2*b - 159. Calculate the greatest common fact... | {
"pile_set_name": "DM Mathematics"
} |
-15935, -31854, -47775, -63698, -79623, -95550?
-111479
What comes next: -122729, -490896, -1104507, -1963562, -3068061, -4418004, -6013391?
-7854222
What is the next term in -375508, -375501, -375494, -375487, -375480, -375473?
-375466
What is the next term in 10037, 20071, 30105, 40139?
50173
What is next in -119194... | {
"pile_set_name": "DM Mathematics"
} |
1 + 142.321. Let r = 131 - b. Let j = -17 - -16. What is the nearest to r in -2, 0.2, j?
-2
Let m = 3.1 - 3. Let d(s) = -s**2 + 7*s - 20. Let u be d(4). Let g be (-18)/(-12)*u/42. What is the nearest to -1 in g, -0.5, m?
-0.5
Suppose -4*y = -q + 79, 6*y - 3*y - 259 = -4*q. Suppose -6*r - 91 + q = 0. What is the nearest... | {
"pile_set_name": "DM Mathematics"
} |
nd derivative of q(o) wrt o?
-8434
Let l(j) be the second derivative of -1831*j**6/10 - 17*j**4/12 - 49*j**3/3 - 157*j - 2. Find the third derivative of l(f) wrt f.
-131832*f
Suppose -8 = 302*k - 306*k. What is the third derivative of 79*a**5 + 126*a**k - 55*a + 55*a + 4*a**3 - 4*a**3 wrt a?
4740*a**2
Let v(i) be the s... | {
"pile_set_name": "DM Mathematics"
} |
7308 to the nearest integer?
62
What is the cube root of 3483959 to the nearest integer?
152
What is 8486221 to the power of 1/6, to the nearest integer?
14
What is the fifth root of 4175583 to the nearest integer?
21
What is the square root of 302542 to the nearest integer?
550
What is the cube root of 4006423 to the ... | {
"pile_set_name": "DM Mathematics"
} |
st common factor of w and 793.
13
Suppose 5*n - 4*c - 156 = n, 0 = -n + 4*c + 57. Let f be 691/7 - (-4)/14. What is the greatest common divisor of f and n?
33
Let f = 117 + -225. Let o = 111 + f. Suppose -q - 6 = -2*q. Calculate the highest common divisor of o and q.
3
Suppose 0 = -4*u + 383 + 13. What is the greatest ... | {
"pile_set_name": "DM Mathematics"
} |
se
Let x be 10 + -1*(-1 + 0). Suppose 145*o - 630 = 106*o - 123. Which is smaller: x or o?
x
Let a = 280 + -131. Which is greater: a or 151?
151
Let c be (-2)/((-22)/26 - -1). Suppose -4*w + 59 + 62 = -5*n, 0 = -2*n + 2*w - 50. Let t = c - n. Which is bigger: 10 or t?
10
Let x = 12 + -27. Let m be (-110)/x + 4/6. Let d... | {
"pile_set_name": "DM Mathematics"
} |
0/(-42). Suppose b = -5*v + 1, -2*b = -v + 5*v - 2. Let q = 7 + v. Calculate the greatest common factor of q and x.
7
Let q be (-1 + 5/3)*18. Let n(g) = 17*g**3 + g - 6. Let j be n(2). What is the highest common divisor of q and j?
12
Suppose 36 = 13*h - 4*h. Suppose -13*q = h*q - 272. Let o = 6 + -2. What is the great... | {
"pile_set_name": "DM Mathematics"
} |
e factors of 587973?
3, 195991
List the prime factors of 7499566.
2, 19, 151, 1307
What are the prime factors of 6851027?
1427, 4801
What are the prime factors of 2179377?
3, 103, 2351
What are the prime factors of 1686874?
2, 7, 2459
List the prime factors of 797708.
2, 17, 11731
What are the prime factors of 57438?
2... | {
"pile_set_name": "DM Mathematics"
} |
59. Determine b(w(s)).
-2500*s**2 - 5900*s - 3481
Let o(h) = -82*h + 153*h - 2*h**2 - 71*h. Let t(d) be the second derivative of -25*d**3/6 - d - 14. Calculate t(o(q)).
50*q**2
Let k(w) = 61*w - 9 + 42 - 16 - 17. Let h(c) = 15*c. Determine h(k(x)).
915*x
Let g(c) = -2*c**2. Let j(b) be the first derivative of -11*b**3... | {
"pile_set_name": "DM Mathematics"
} |
25436, 57024, 101196, 157958, 227316, 309276, 403844?
u**3 + 6283*u**2 + 154*u - 12
What is the x'th term of -2302, -3096, -3890, -4684, -5478?
-794*x - 1508
What is the x'th term of 250668, 501309, 751938, 1002561, 1253184, 1503813?
x**3 - 12*x**2 + 250670*x + 9
What is the x'th term of -8938894, -35755564, -80450008... | {
"pile_set_name": "DM Mathematics"
} |
:38 AM?
3:59 AM
What is 472 minutes after 6:48 PM?
2:40 AM
How many minutes are there between 11:17 PM and 7:22 AM?
485
How many minutes are there between 1:35 PM and 10:19 PM?
524
How many minutes are there between 11:51 AM and 2:12 PM?
141
How many minutes are there between 6:11 PM and 9:28 PM?
197
What is 644 minute... | {
"pile_set_name": "DM Mathematics"
} |
-g**2. What is w(j(k))?
-2*k**4
Let j(r) = -r. Let g(c) = 2*c**2 - 2*c**2 - c**2. What is j(g(t))?
t**2
Let n(f) = 35*f - 26. Let l(k) = -2*k. Give l(n(c)).
-70*c + 52
Let o(g) be the third derivative of -g**5/12 + 11*g**2. Let q(w) = -2*w. Determine q(o(c)).
10*c**2
Let i(u) be the first derivative of -2*u**3/3 - 17.... | {
"pile_set_name": "DM Mathematics"
} |
n(q) + y(q).
2*q**3 - 2*q
Let a(r) = 3*r**2 - 4*r - 5. Let t be (-21)/2 + 4/(-8). Let z(m) = 8*m**2 - 11*m - 14. What is t*a(u) + 4*z(u)?
-u**2 - 1
Let s(z) = -4*z**2 - 4*z. Let t(b) be the third derivative of -b**6/120 - b**5/60 - b**4/24 - 18*b**2. Calculate s(a) - 4*t(a).
4*a**3
Let z(a) = -a**2 + a. Suppose 0 = 4*y... | {
"pile_set_name": "DM Mathematics"
} |
1*c*m*x**2 - 4*m**3*x**2 + 12*m**2*x**2 wrt m.
1211166*c**3*x**2 - 24*x**2
Find the third derivative of -141937*d**6 + 33098*d**2.
-17032440*d**3
What is the second derivative of 13121*i**4 - 538*i + 13 wrt i?
157452*i**2
Differentiate -16*w**4 - 50*w**3 - 38*w**2 + w + 382871 wrt w.
-64*w**3 - 150*w**2 - 76*w + 1
Diff... | {
"pile_set_name": "DM Mathematics"
} |
4, -2, -1, 0, 23
Sort 1, 118, -22, 2865 in increasing order.
-22, 1, 118, 2865
Put 5, -3/100, -0.4, -9/4, -126, 3 in increasing order.
-126, -9/4, -0.4, -3/100, 3, 5
Sort -58, -1, -3, -5, -20, -4, -38.
-58, -38, -20, -5, -4, -3, -1
Put -1, -9474, 2, 565 in decreasing order.
565, 2, -1, -9474
Put 33, 1, -9, -3, -60 in a... | {
"pile_set_name": "DM Mathematics"
} |
40*s + 113. Let n(t) = 5*a(t) - 4*m(t). Calculate n(-4).
-19
Let o(w) = -2*w + 26*w**2 + 0*w**3 + w**3 - 92*w**2 + 21*w**2 + 39*w**2. Suppose -16*l - 20*l + 216 = 0. Calculate o(l).
-12
Let j = 112646 + -112649. Suppose 3*z + 2*n = 4, -4*z + z + 5*n = -11. Let p(o) = -2*o - z*o - 5*o**2 + 2*o - o**3. Determine p(j).
-1... | {
"pile_set_name": "DM Mathematics"
} |
80*b**2
Find the third derivative of 6*o**6 - 72*o**6 + 91*o**2 + 173*o**6 wrt o.
12840*o**3
Let l be 0 + (-1 + -1)*-1. Let m(w) = -w**2 + 13*w - 20. Let j be m(11). Find the second derivative of -2*b**2 + b**l - 2*b**2 - 2*b - b**j wrt b.
-8
Let x(n) = -885*n**2 + 14*n + 11. Let c(l) = 592*l**2 - 9*l - 7. Let m(i) = -... | {
"pile_set_name": "DM Mathematics"
} |
94 divided by 3?
-5543298
-257012956 divided by 4
-64253239
0 divided by 91586243
0
Calculate -42972546 divided by -192702.
223
Divide -138003294 by 86306.
-1599
What is 74790864 divided by -923344?
-81
Divide 1 by -83367520.
-1/83367520
-2167984 divided by 20846
-104
-4072442 divided by -2
2036221
What is 7895167 divi... | {
"pile_set_name": "DM Mathematics"
} |
32?
2, 3, 822139
What are the prime factors of 24543510?
2, 3, 5, 173, 4729
What are the prime factors of 25921119?
3, 7, 59, 20921
List the prime factors of 226747609.
11, 31, 664949
List the prime factors of 363778991.
2591, 140401
List the prime factors of 50030394.
2, 3, 29, 271, 1061
What are the prime factors of ... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(24)/sqrt(3))).
7*sqrt(19)
Simplify sqrt(19) + -3 + 2 + sqrt(19) + 1.
2*sqrt(19)
Simplify (3*sqrt(128)*-6)**2.
41472
Simplify (sqrt(160) + sqrt(10))/sqrt(2)*6 + sqrt(50)/(-1*sqrt(10))*-3.
33*sqrt(5)
Simplify -2*sqrt(20)/(sqrt(110)/(sqrt(55)/sqrt(5))).
-2*sqrt(2)
Simplify ((sqrt(1458) - (sqrt(1458) - sqrt(1458)*2)) ... | {
"pile_set_name": "DM Mathematics"
} |
222.00093. What is r rounded to four dps?
0.0009
Let m = 47 - 12. Let r = m - 34.05. Let d = r - 0.950101. Round d to 5 decimal places.
-0.0001
Let z = -184 + 185.33. Let p = -2360648.7 - -2360647.3700067. Let k = p + z. What is k rounded to six dps?
0.000007
Let n = -10 - -8.1. Let h = 1.9051 + n. What is h rounded t... | {
"pile_set_name": "DM Mathematics"
} |
2/29))**(-50) assuming n is positive.
n**(350/29)
Simplify (t**(2/7))**(16/7)/((t**(-3/4)*t)/t**16) assuming t is positive.
t**(3215/196)
Simplify ((i/i**(2/21))/(i/i**18))**3 assuming i is positive.
i**(376/7)
Simplify (z**26/z**(-9))/(z**(11/5)/(z**(-29)/z)) assuming z is positive.
z**(14/5)
Simplify (t**3)**2*t**(-4... | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {g: 5, r: 1, n: 3, q: 6, b: 2, j: 2}.
10/323
Calculate prob of picking 2 q and 1 o when three letters picked without replacement from {q: 2, z: 1, o: 1}.
1/4
Four letters picked without replacement from ppjjjjjjjppjjpjj. What is prob of picking 1 p and 3 j?
165/364
What is prob of picking 1 l ... | {
"pile_set_name": "DM Mathematics"
} |
lculate (-2*100/75)/((-8)/(-72)).
-24
Evaluate (2 - 258/15)*(-7090)/(-2836).
-38
What is the value of (1/(-3))/((-3627)/(-10530) - (-4)/(-10))?
6
What is the value of (-518 + 516)*(-1 - -8)?
-14
What is -3 - ((-15)/(-10) + (-57)/10)?
6/5
((-175)/(-20) - 639/(-284)) + 15
26
What is the value of (3 - -1)*(-2 - -17)/(-60)... | {
"pile_set_name": "DM Mathematics"
} |
are there in thirty-seven halves of a litre?
18500
How many millimeters are there in 523388.2 meters?
523388200
Convert 2521.276l to millilitres.
2521276
How many milliseconds are there in 57/5 of a second?
11400
What is 9/10 of a millimeter in micrometers?
900
How many millilitres are there in three tenths of a litre?... | {
"pile_set_name": "DM Mathematics"
} |
(d) 4
c
Which is the nearest to -4? (a) -0.5 (b) 2 (c) -5
c
What is the closest to 2/3 in 1, -3, -8?
1
What is the nearest to -5/4 in -3, 0.3, 0.4?
0.3
What is the closest to -1 in -141, -3, -2/3, 1/5?
-2/3
Which is the nearest to 29? (a) -0.3 (b) -5 (c) 6/11 (d) -2/13
c
What is the closest to -2/5 in 4, 3, -0.... | {
"pile_set_name": "DM Mathematics"
} |
the l'th term of 2706, 5457, 8216, 10983, 13758, 16541?
4*l**2 + 2739*l - 37
What is the p'th term of -1703, -3407, -5113, -6821, -8531?
-p**2 - 1701*p - 1
What is the h'th term of 231, 217, 177, 99, -29, -219, -483?
-2*h**3 - h**2 + 3*h + 231
What is the v'th term of -37, -200, -363, -526, -689, -852?
-163*v + 126
Wha... | {
"pile_set_name": "DM Mathematics"
} |
**3 - 7*c + 4. Give g(6).
-2
Let u(q) = -8*q. Let c be (-2 - (-15)/6)*0. Suppose c = 4*t - 0 + 8. What is u(t)?
16
Let v = 7 - 4. Let c(s) = s**2 - 2*s - 1. Let j be c(v). Suppose -j*b + 0*b + 6 = 0. Let q(z) = 2*z - 2. Give q(b).
4
Let v(y) = 4*y**2 - 6*y - 8. Let b(g) = -5*g**2 + 7*g + 9. Let u(q) = 5*b(q) + 6*v(q). ... | {
"pile_set_name": "DM Mathematics"
} |
is -229 + -4b?
-276
In base 16, what is 502f + 1?
5030
In base 4, what is 0 - 202113?
-202113
In base 13, what is 4780 + -3?
477a
In base 2, what is -1101100000100 + 10?
-1101100000010
In base 14, what is 676 - -c6?
75c
In base 8, what is 33 + -131607?
-131554
In base 16, what is eac + -48?
e64
In base 2, what is -1011... | {
"pile_set_name": "DM Mathematics"
} |
1 (e) -5
b
Which is the seventh biggest value? (a) -0.4 (b) -52 (c) 2/149 (d) -2/11 (e) -4 (f) -2/97 (g) 1
b
What is the fourth smallest value in -34.73, 0.4, 1/4, 6032?
6032
Which is the third biggest value? (a) -4/3 (b) -0.5 (c) -1.65 (d) 3/8 (e) 1/3 (f) -5 (g) -7
b
What is the fourth smallest value in... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(7) + sqrt(10))).
-3*sqrt(2)/5
Simplify (0 + (-1 + sqrt(1584) + 3 - sqrt(1584)) + sqrt(1584)*1 + 0)**2 - -6*(4 + -1 + sqrt(1584) + sqrt(1584) + sqrt(1584) - 3*(sqrt(1584) + 1))**2.
48*sqrt(11) + 1588
Simplify -4*(4 + sqrt(63) - 3*sqrt(21)/sqrt(3))*-4*-5*2.
-640
Simplify ((-4*(sqrt(448) + (sqrt(448) + sqrt(448) + (s... | {
"pile_set_name": "DM Mathematics"
} |
x**4 + 4*x**3 + 31339*x**2 + 99 wrt x?
-842391768*x + 24
What is the second derivative of -45820*a**4 - 364*a**3 - 2*a**2 - 101215099*a wrt a?
-549840*a**2 - 2184*a - 4
What is the second derivative of 123867997*s**2 + 81392*s - 88?
247735994
What is the first derivative of -570253299*x**3 - 23081394 wrt x?
-1710759897... | {
"pile_set_name": "DM Mathematics"
} |
19 - 2/7).
408
Suppose -8 = -2*o - 4*m + 44, -3*m + 47 = 2*o. Suppose 2*h - 10 = 14. What is the smallest common multiple of 5*(-7)/((-70)/h) and o?
48
Suppose -2*l + 4*l - 32 = 0. What is the lowest common multiple of l and 18?
144
Find the common denominator of 3*(-3)/(-12) - (-392)/(-144) and 77/36.
36
Suppose -2*l ... | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of -1/2*r**2 + r - 1/4*r**4 - 5/3*r**3 + 1. Let z = -39 - -34. What is w(z)?
6
Let t = 13 + -6. Let z(o) = 5*o**2 + 11. Suppose 0*m + 25 = 5*m - 4*s, m - s - 5 = 0. Let q(w) = -4*w**2 - w - 10. Let p(r) = m*z(r) + 6*q(r). Determine p(t).
2
Let u(v) be the first derivative of -48 - 3*v + 3/2*v**2. ... | {
"pile_set_name": "DM Mathematics"
} |
-6
Calculate ((-255)/(-12))/17*(-248)/155.
-2
Evaluate 3/(-70)*1528/1146.
-2/35
Calculate ((-34)/(-102))/(24/(-936)).
-13
(-12)/96*6*-4
3
Evaluate 5*-2*5/150*33.
-11
Evaluate (176/132)/(24/162).
9
Evaluate ((-48)/72)/((-20)/42).
7/5
(5/(-26))/((-1305)/3132)
6/13
Evaluate (-40)/(-24)*(-972)/(-2700).
3/5
Evaluate 12*((-... | {
"pile_set_name": "DM Mathematics"
} |
(base 4) to base 12
-34582
Convert 111122323 (base 4) to base 8.
253273
What is 3011014342 (base 5) in base 9?
12174741
What is -844452 (base 9) in base 14?
-d0cb9
Convert 1810199 (base 10) to base 12.
73369b
9378013 (base 10) to base 3
122122110012211
What is 352a (base 16) in base 15?
4075
What is 11112003031 (base ... | {
"pile_set_name": "DM Mathematics"
} |
t is prob of picking 2 t and 1 m when three letters picked without replacement from tttdm?
3/10
What is prob of picking 1 c, 1 x, and 1 p when three letters picked without replacement from xcbpxxcxb?
2/21
Two letters picked without replacement from {i: 1, g: 1, q: 1, n: 1, a: 1}. What is prob of picking 1 g and 1 q?
1/... | {
"pile_set_name": "DM Mathematics"
} |
be 42/189 - 10708/(-9). Let m = c + -743. Does 16 divide m?
False
Let z(f) = 2*f**2 + 98*f + 156. Does 10 divide z(-103)?
True
Suppose 0 = 4*d + i - 6355 + 392, -i = -2*d + 2989. Is (d/20)/((-4)/(-20)) a multiple of 76?
False
Let r = 6418 - 3275. Is r a multiple of 52?
False
Suppose 0 = 15*j - 7 - 38. Suppose 0 = -11*... | {
"pile_set_name": "DM Mathematics"
} |
*-1*-5. Suppose -2*l + 6*l - 3*b - p = 0, 5*l = -4*b + 45. Let v(a) = -a**3 + 7*a**2 - 3*a - 3. Is v(l) a multiple of 16?
True
Let f(c) = c**3 + 9*c**2 - 19*c + 17. Let v = -82 - -72. Is 10 a factor of f(v)?
False
Let b(d) = 6*d**2 + 1. Let x be b(-1). Suppose -k = -4*o + 13, 4*o - 4*k - x = -k. Suppose 68 = o*c - 20. ... | {
"pile_set_name": "DM Mathematics"
} |
= 0 for l.
3
Solve -437*b + 435*b = 4*q + 12, 12 = 3*b for q.
-5
Solve 6*h - 4*j - 4 = 0, -4*h = 540*j - 536*j + 24 for h.
-2
Solve 4*i + 10 = -5*t, -3722*t + 3 = -3*i - 3728*t for i.
-5
Solve 77 - 79 = -k - w, 9*k = w - 22 for k.
-2
Solve -4*h - 77 - 31 = 24*b, 5*b = -2*h - 19 for h.
3
Solve 0 = -2*u - 2*p + 18, 4*p ... | {
"pile_set_name": "DM Mathematics"
} |
rmine j(r(a)).
2209*a**2
Let h(j) = 324*j - 167*j - 158*j. Let m(g) = -3*g - 9. Give m(h(u)).
3*u - 9
Let t(m) = 2*m**2. Let k(b) = 717*b. Let r(a) = -181*a. Let q(i) = -4*k(i) - 18*r(i). Determine q(t(c)).
780*c**2
Let w(c) = -6*c + 9. Let f(k) = 3*k - 5. Let r(v) = -9*f(v) - 5*w(v). Let h(j) be the first derivative o... | {
"pile_set_name": "DM Mathematics"
} |
254, 373?
514
What is the next term in 686, 1219, 1752?
2285
What is the next term in 1296, 1261, 1226, 1191, 1156?
1121
What is the next term in 1252, 2499, 3740, 4975, 6204, 7427, 8644?
9855
What comes next: -130, -858, -2708, -6202, -11862, -20210?
-31768
What comes next: 2720095, 2720094, 2720093, 2720092, 2720091... | {
"pile_set_name": "DM Mathematics"
} |
39095 + 0.24198. What is r rounded to two decimal places?
-0.1
Let j = -4.6982 + 4.70819532. Let h = -0.01 + j. Round h to 7 decimal places.
-0.0000047
Let g be 4/(4 + -6)*(-7)/7. Suppose 16*m - 1022400000 = -g*m. Round m to the nearest 1000000.
57000000
Let l = 105 - 105.25. Let n = l - -0.2500032. What is n rounded t... | {
"pile_set_name": "DM Mathematics"
} |
+ 2 + 3) + 5*d - 4*d - 3*d.
380*d
Expand 81*b + 40*b + 210*b + (-4*b + 1 - 1)*(0 + 1 + 0) + (4 + 3 - 2)*(-1 - b + 1).
322*b
Expand (-370 - 141 - 200)*(j - 2 + 2) + 4 - 993*j + 956*j - 4.
-748*j
Expand (1 + 1 + 0)*(186 - 12*a**2 - 186) + 11*a**2 - 6*a**2 - 29*a**2.
-48*a**2
Expand (-1 + 0 + 0)*(-61094*a**3 - 1 + 61094*... | {
"pile_set_name": "DM Mathematics"
} |
of j**3 + 17*j**2/2 + j + 3. Is i(q) composite?
True
Let d = 8948 - 3976. Suppose 0 = a + 3*h - 12563, 4*h = 2*a - 20174 - d. Is a prime?
True
Suppose -2*f = -3*c - 37162, 3*f = f - 4*c + 37190. Let q = f + 4910. Is q a composite number?
False
Let d = 57 + -43. Suppose 5*i - m = 34, i + 5*m - d = -2. Suppose 0 = -8*u ... | {
"pile_set_name": "DM Mathematics"
} |
c**3 - 2 - 6*c**2 in the form a*c + i*c**3 + g*c**2 + f and give i.
1
Rearrange -1 + 3 + 6*s - 3*s**2 - 1 - 8*s to the form q + u*s**2 + r*s and give u.
-3
Rearrange ((36*t**2 - 19*t**2 + 22*t**2)*(-t**2 + 2*t**2 - 2*t**2) + t**3 - t**3 + t**2 - 2*t**4)*(-2 + 0 + 0) to u*t**4 + j*t + p + v*t**2 + x*t**3 and give u.
82
... | {
"pile_set_name": "DM Mathematics"
} |
/2*i**4 + 7/3*i**3 - 3*i + 1/2*i**5 + 2*i**2. Factor p(f).
2*(f + 1)**3*(f + 2)
Solve r**5 - 46*r**3 + 3*r**5 + 44*r**4 - 424*r**2 - 196 + 532*r + 86*r**3 = 0.
-7, 1
Let v(g) = -23*g**2 + 5*g + 17. Let o(h) = -4*h**2 + h + 3. Let l(y) = 34*o(y) - 6*v(y). Suppose l(m) = 0. Calculate m.
-2, 0
Let y be ((-1)/(-3))/((-11)/... | {
"pile_set_name": "DM Mathematics"
} |
Let x(a) = -7*a + 3. Let r(c) = -6*g(c) - x(c). Let m(l) = -5 - 4 + 5 + 5. Suppose 5*y + 5*k = 0, 2*y - 3*k - 7 = -2*y. Determine y*m(h) + r(h).
h - 2
Let b(s) = s**2 + s - 3. Let n(x) = 4*x**2 + 46*x - 24. Calculate -24*b(u) + 3*n(u).
-12*u**2 + 114*u
Let z(k) = -16742 + 2*k - 16765 + 33506. Let a(d) be the third deri... | {
"pile_set_name": "DM Mathematics"
} |
of 15 and 2215.
5
What is the highest common factor of 44 and 36?
4
What is the highest common factor of 1230 and 30?
30
What is the highest common factor of 2040 and 120?
120
Calculate the greatest common factor of 48 and 1548.
12
What is the highest common divisor of 43 and 86?
43
What is the highest common divisor ... | {
"pile_set_name": "DM Mathematics"
} |
nearest to -1 in z, 0.2, 0.5?
0.2
Let k = -16752 - -16752.7. What is the closest to k in -5, 5, -0.1, 1/5?
1/5
Let k = 628.5 - 628.6. What is the closest to k in -0.1, 6, -0.57?
-0.1
Let f be (4/10)/(9 - 1078/110). Let w = 0 - 3. What is the nearest to f in 0.1, 0, w?
0
Let j = -10434 + 41735/4. Let m = 1143 + -712. Le... | {
"pile_set_name": "DM Mathematics"
} |
Give c(r(h)).
-h**4
Suppose -v + 9 = 3*w, 0 = -0*v - 4*v + 12. Let r(z) = -4*z + 6*z**w + 4*z. Let f(m) = -m**2 - 3*m**2 + 2*m**2. Give f(r(u)).
-72*u**4
Let d(p) = -3*p. Let x(k) = 159*k**2. Give d(x(n)).
-477*n**2
Let j(n) = -2137*n**2. Let u(a) = 2*a. What is u(j(x))?
-4274*x**2
Let t(r) = 2 - 2 + 2*r. Let g(y) be t... | {
"pile_set_name": "DM Mathematics"
} |
(a) k (b) h (c) 0.2
a
Let g be -8*((-9)/(-42))/(-3). Let p be 2 + (-20)/6 + 1. Which is the second biggest value? (a) p (b) -3 (c) g
a
Let n = -6 - -18. Let u be 1 - (-1 - (-26)/n). What is the second smallest value in -0.2, u, 0.3?
u
Let y = -125.2 + 125. Let x(w) = w**2 - 2*w + 1. Let j be x(3). Which is the sm... | {
"pile_set_name": "DM Mathematics"
} |
he greatest common factor of 2732 and 56?
4
What is the highest common factor of 126 and 69342?
42
What is the greatest common divisor of 27888 and 24153?
249
What is the highest common factor of 594 and 239814?
54
What is the greatest common factor of 12520 and 113306?
626
Calculate the greatest common divisor of 2898... | {
"pile_set_name": "DM Mathematics"
} |
in -5*w + 12*w - 7*w - 2172*w**2.
-2172*w**2
Collect the terms in q + 8*q + 2*q + 0*q.
11*q
Collect the terms in 12*z - 25*z - 12*z - 20*z.
-45*z
Collect the terms in -1331*z + 681*z + 664*z.
14*z
Collect the terms in 39*a**2 - 12*a**2 + 13*a**2.
40*a**2
Collect the terms in 3*c**3 + 3*c**3 - 3 + 3 + c**2.
6*c**3 + c**... | {
"pile_set_name": "DM Mathematics"
} |
terms in 2*s**3 - 26 + 0*s**3 - 13*s**2 + 26.
2*s**3 - 13*s**2
Collect the terms in 2*z + 93 - 16 - 14 - 63.
2*z
Collect the terms in 27*u**2 - 174*u**2 - 223*u**2.
-370*u**2
Collect the terms in 2*r**3 - 2139*r + 2139*r.
2*r**3
Collect the terms in 21042*i - 13*i**3 - 21042*i.
-13*i**3
Collect the terms in -262*z + 52... | {
"pile_set_name": "DM Mathematics"
} |
= -52 - g. What is the units digit of f?
2
Let y(b) = -6*b**3 - 2*b**2 - 9*b - 5. Let k be y(-1). Suppose 5*j - 2780 = -5*r, 4*j = k*r - 7*r - 551. What is the hundreds digit of r?
5
Suppose -3*l = -2*l + 5*f - 25, 2*l + 4*f = 26. Suppose 30*q - 15085 = -l*q. What is the hundreds digit of q?
4
Suppose 2*t = t + 1. Let ... | {
"pile_set_name": "DM Mathematics"
} |
0*g - 2*g).
-73*g**2 - 2*g
Expand 16*n**5 + 8*n**5 + 25*n**3 + n**4 - 22*n**5 + (-3*n**2 + n - n)*(-4*n**3 + n**3 + 5*n**3) + 0*n**5 + 0*n**5 - n**5.
-5*n**5 + n**4 + 25*n**3
Expand (-40*l**2 + 32 - 32)*((2*l**2 - 5*l**2 + 5*l**2)*(-1 + 2 + 0) + 3*l**2 - 2*l**2 + 2*l**2 - 2*l + l**2 + l**2 + 0*l**2) - 4 + 4 - 2*l**4.
-... | {
"pile_set_name": "DM Mathematics"
} |
o) = -g(o) - 6*u(o). Factor i(w).
3*(w - 14)*(w - 6)
Let q = 175 - 177. Let c(w) = -8*w**2 + 6*w - 2. Let g(v) = -11*v**2 + 7*v - 3. Let j(f) = q*g(f) + 3*c(f). Factor j(z).
-2*z*(z - 2)
Determine f, given that 27/5*f**3 + 87/5*f**2 - 108/5*f - 12/5*f**4 - 156/5 = 0.
-2, -1, 2, 13/4
Suppose 4*k = -3967 + 3975, -k - 1 =... | {
"pile_set_name": "DM Mathematics"
} |
Let i(d) = 70*d + 3. Calculate the remainder when i(1) is divided by 19.
16
Suppose 0 = 2*m - 1 - 5. Suppose 0 = 2*z + z. Suppose z = 5*o - s - 37, -4*o + 3*o + 3*s = 1. What is the remainder when o is divided by m?
2
Let w = 33 + -18. Let i = w - 9. What is the remainder when i is divided by 4?
2
Let v(w) = 6*w + 1. ... | {
"pile_set_name": "DM Mathematics"
} |
(a) -4.4 (b) -0.2 (c) -11679
b
Which is the fourth biggest value? (a) 5 (b) 2 (c) 7.167 (d) -2/11
d
Which is the second biggest value? (a) -1967 (b) 0.6 (c) 5/2 (d) -0.1 (e) 1/13
b
What is the third smallest value in -1, 5, 43, -30, 3?
3
Which is the third smallest value? (a) -5 (b) -2/17 (c) 0.16 (d) ... | {
"pile_set_name": "DM Mathematics"
} |
of sequence avt when three letters picked without replacement from rrvtfatvbvvfvbvbbfrb?
1/570
Four letters picked without replacement from kakwbwakwkwkwkkk. What is prob of sequence wbww?
1/728
Three letters picked without replacement from rgrffggfrgfgg. What is prob of sequence rrr?
1/286
Calculate prob of sequence a... | {
"pile_set_name": "DM Mathematics"
} |
-4, -3
Suppose 21*y = 14*y + 175. Factor 36 + 10*d - 15*d - 9*d**2 - y*d - 18*d.
-3*(d + 6)*(3*d - 2)
Suppose 0 = 33*n - 32*n - 4. Let z be ((-576)/(-560))/(-6) - (-32)/56. Suppose -4/15*c - 16/15*c**3 + z*c**n + 0 + 14/15*c**2 = 0. Calculate c.
0, 2/3, 1
Let z(a) be the first derivative of a**7/70 - a**6/40 - a**5/5 +... | {
"pile_set_name": "DM Mathematics"
} |
56. Let p = 5552 - 5564. Calculate f(p).
8
Let f(l) = 5*l + 7. Let o(c) = -31*c - 69. Let x(h) = 10*h + 23. Let a(p) = 6*o(p) + 17*x(p). Let v(m) = -2*a(m) - 7*f(m). Calculate v(-4).
9
Let o(j) = -j + 3. Let n be 21*(26/(-6) + 1). Suppose -113*h + 119*h - 345 = 45. Let x = n + h. What is o(x)?
8
Let j(d) = -39*d**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
45, -1, 13?
-1
What is the closest to -0.46 in -136, 1, 1/6, 506, 4?
1/6
What is the closest to -13 in 1, -0.1, 1/135133?
-0.1
Which is the nearest to 1.7? (a) -2946 (b) 1687 (c) 5
c
What is the nearest to -0.0608 in 64/5, 20, -5?
-5
Which is the nearest to 0? (a) -19 (b) -50068 (c) 0.2 (d) 1
c
What is the clos... | {
"pile_set_name": "DM Mathematics"
} |
and give u.
21
Rearrange 11 - 11 - r**2 + 11 to the form a + f*r**2 + d*r and give a.
11
Rearrange -1 - 5*m**2 + 2 + 15*m**2 - 4*m**2 to the form j*m**2 + p + i*m and give p.
1
Rearrange 67*a + 6*a**2 - 67*a to j*a + q*a**2 + r and give q.
6
Rearrange (-4 - 280*g - 3*g**2 + 280*g)*(0 + 4 - 5)*(-2*g - 3 + 3) to o + s*g... | {
"pile_set_name": "DM Mathematics"
} |
t common divisor of 115 and 5060.
115
Calculate the highest common divisor of 117 and 637.
13
What is the highest common divisor of 85 and 10?
5
Calculate the highest common factor of 2358 and 12.
6
What is the greatest common divisor of 12 and 417?
3
What is the highest common factor of 63 and 2331?
63
What is the gre... | {
"pile_set_name": "DM Mathematics"
} |
120 - 5*z**4/24 + 5*z**3/6 - 12*z**2. Let j(s) be the first derivative of c(s). Is j(8) prime?
False
Suppose 19*f + 18 = 25*f. Suppose x - f*n - 963 = -2*x, -5*n + 297 = x. Is x a composite number?
False
Let o(g) = 136*g - 913. Let b be o(-25). Let m(p) = 1015*p + 2. Let y be m(6). Let l = y + b. Is l a prime number?
F... | {
"pile_set_name": "DM Mathematics"
} |
aluate (66/(-15))/((528/33)/(-80)).
22
Evaluate ((-17)/((-510)/(-50)))/5.
-1/3
What is the value of ((-4)/15)/((-48)/90*(-5)/2)?
-1/5
What is -10*((-9)/66)/((-735)/(-196))?
4/11
What is the value of (13/(13/3))/9*-36?
-12
56/420*375*(-2)/20*4
-20
Evaluate ((-45)/(-2))/(-5)*(-47)/((-846)/40).
-10
What is (16/(-6))/(9/27... | {
"pile_set_name": "DM Mathematics"
} |
35
Let v be 20/(-3)*30/(-8). Calculate the least common multiple of ((-10)/v)/((-1)/10) and 10.
20
Let r be 9/2*8/(-6). Let l be 0/2*(-3)/r. Suppose j - 57 = -4*m, 3*j = -4*m - l*j + 59. Calculate the least common multiple of 12 and m.
84
Suppose -2*r + 1137 = -a, r + 4*r = -5*a - 5745. Let m be 2/3 - a/(-3). Calculat... | {
"pile_set_name": "DM Mathematics"
} |
rob of picking 1 s and 2 q?
7/136
What is prob of picking 3 y when three letters picked without replacement from {s: 2, g: 1, r: 1, j: 1, y: 3, t: 3}?
1/165
Three letters picked without replacement from ccccmcicccmiiimi. What is prob of picking 1 i, 1 c, and 1 m?
3/14
What is prob of picking 4 p when four letters picke... | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {u: 6, d: 3, r: 6, h: 2, s: 3}.
3/95
What is prob of sequence iiii when four letters picked without replacement from iiqi?
0
Calculate prob of sequence erb when three letters picked without replacement from {r: 4, u: 1, e: 4, b: 1}.
1/45
Calculate prob of sequence uu when two letters picked wit... | {
"pile_set_name": "DM Mathematics"
} |
5*v(t).
4*t**2 - 2*t
Let l(c) = -11*c**2 + 3*c + 3. Let y(v) = 11*v**2 - 2*v - 3. Calculate 4*l(f) + 5*y(f).
11*f**2 + 2*f - 3
Let j(t) = 3. Suppose 3*r = 4*o + 10 + 3, 0 = -o - 1. Let x(b) = -r*b + 10*b + 2 - 6*b. Give 2*j(w) - 3*x(w).
-3*w
Let o(g) be the third derivative of 5/24*g**4 + 0*g - 2/3*g**3 + 0 - 31*g**2.... | {
"pile_set_name": "DM Mathematics"
} |
of picking 1 f, 2 r, and 1 g when four letters picked without replacement from {f: 3, g: 1, t: 1, w: 2, r: 3}.
3/70
Two letters picked without replacement from {p: 2, j: 1, a: 2, i: 4}. What is prob of picking 1 p and 1 a?
1/9
Three letters picked without replacement from {h: 4, n: 3, a: 5}. Give prob of picking 1 h, 1... | {
"pile_set_name": "DM Mathematics"
} |
False
Does 47 divide 1024?
False
Is 665 a multiple of 6?
False
Does 17 divide 1224?
True
Does 32 divide 1984?
True
Is 21 a factor of 6425?
False
Does 3 divide 60?
True
Is 44 a factor of 450?
False
Is 6 a factor of 160?
False
Does 19 divide 399?
True
Does 12 divide 120?
True
Is 4979 a multiple of 140?
False
Is 266 a mu... | {
"pile_set_name": "DM Mathematics"
} |
t(2)) - -4*-3*sqrt(17)*1*-3.
249*sqrt(17)/7
Simplify -2 + ((sqrt(68) + 2 + 4)*-6*1)**2 + 1.
864*sqrt(17) + 3743
Simplify (sqrt(162) + -2 + -1)**2 - (sqrt(10) - (sqrt(10) + sqrt(60)/sqrt(6)*3) - sqrt(10))/sqrt(5).
-50*sqrt(2) + 171
Simplify (2*sqrt(931) + 3 - 3*sqrt(931)*-2)**2 + 5*(0 + sqrt(931))*-3.
231*sqrt(19) + 595... | {
"pile_set_name": "DM Mathematics"
} |
2 + 2*w - 3. Let c be d(-5). Suppose -44 = -18*q + 7*q. What is the second derivative of 9*t - 5*t**q - 16*t**4 + c*t**4 wrt t?
-108*t**2
Let y(l) be the first derivative of -5/12*l**4 + l**2 + 0*l**3 + 2 + 2*l. Let z(i) be the first derivative of y(i). Find the first derivative of z(u) wrt u.
-10*u
Let d(b) be the thi... | {
"pile_set_name": "DM Mathematics"
} |
nt from {z: 3, c: 1, n: 11, y: 4}. What is prob of picking 3 n and 1 c?
55/1292
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {e: 1, q: 2, b: 1, t: 5, l: 2, z: 2}.
5/39
Two letters picked without replacement from {w: 1, t: 1, z: 1, k: 2}. What is prob of picking 1 k and 1 w?
1/5... | {
"pile_set_name": "DM Mathematics"
} |
Let z = -19 - -9. Put p, 2, z in descending order.
p, 2, z
Let p be -4 + (162/26)/(39/26). Sort -5, -1, p, -2/3 in ascending order.
-5, -1, -2/3, p
Let i be (-1 - 1)/2 + 0. Let y = -5980 - -5977. Sort y, 2, i, 3.
y, i, 2, 3
Let a be 2/(-13) + (168/78)/1. Suppose 3*j + a = 4*v, -3*v - 1 = -2*j - 3. Put -1, v, 5, 1 in d... | {
"pile_set_name": "DM Mathematics"
} |
te?
True
Is 44167 a prime number?
False
Is 117389 prime?
True
Is 20993 a prime number?
False
Is 39607 a prime number?
True
Is 43919 a composite number?
True
Is 12689 a composite number?
False
Is 210331 composite?
True
Is 5179 a prime number?
True
Is 49493 a composite number?
True
Is 1657 prime?
True
Is 36103 a composit... | {
"pile_set_name": "DM Mathematics"
} |
be j(v). Is h < -12?
False
Let d be 45/(-6)*8/(-10). Let q = -4 + d. Suppose q = -v + m, -6*v - 2*m = -2*v + 2. Does v = -1/3?
False
Let s(w) = 4 - w + w**2 + 3 - 5. Let n be s(2). Suppose -n*t + 0 = 4. Which is smaller: t or 0?
t
Let m = 17 - 9. Let l = m + -15/2. Is 4/11 not equal to l?
True
Let s(y) = y**3 + 11*y**2... | {
"pile_set_name": "DM Mathematics"
} |
r?
6
What is the square root of 24284 to the nearest integer?
156
What is 578 to the power of 1/2, to the nearest integer?
24
What is the fifth root of 943 to the nearest integer?
4
What is the third root of 847 to the nearest integer?
9
What is the third root of 98684 to the nearest integer?
46
What is the third root ... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*h**2 - 3*h + 4. What is -8*g(d) - 3*t(d)?
-2*d**3 + 1
Let y(o) = 5*o - 6. Suppose -n + 0*n = 4. Let x(w) = 4*w - 5. Let z(p) = n*x(p) + 3*y(p). Let r(a) = 3*a - 7. What is 2*r(q) + 7*z(q)?
-q
Let f(l) = -1311*l**3 + 247. Let o(i) = 16*i**3 - 3. Calculate -6*f(q) - 494*o(q).
-38*q**3
Let y(a) = 3*a. Let z(r) = -r. S... | {
"pile_set_name": "DM Mathematics"
} |
/175 - 3*k**6/50 + 615*k**2 - k - 4. Factor q(p).
3*p**3*(p - 2)*(p + 6)/5
Let j(i) be the third derivative of 0*i + 0*i**3 + 2 + 1/90*i**6 + 4/9*i**4 + 23*i**2 + 2/15*i**5. Let j(a) = 0. Calculate a.
-4, -2, 0
Let v(i) = -3*i**4 + i**2. Let c(a) = -16*a**4 + 500*a**3 - 14844*a**2 - 49152*a. Let o(x) = -c(x) + 4*v(x). ... | {
"pile_set_name": "DM Mathematics"
} |
e
Let u(f) = -15*f**3 + 6*f + 25. Is u(-6) a prime number?
True
Let d(r) = 253*r + 45. Is d(6) composite?
True
Suppose 3*d - d - 3*s = 15, -3*d + 21 = -5*s. Is 15/(-10)*(-296)/d a composite number?
False
Let h be (-238)/4*-32 - 4. Suppose -3008 = -4*g + h. Is g composite?
True
Suppose -v = 2*p - 12481, 3*p - 8140 = 3*v... | {
"pile_set_name": "DM Mathematics"
} |
5*v - 32. Calculate the smallest common multiple of a and 2.
14
Let r(b) = b**3 - 8*b**2 + 7*b. Let q be r(7). Suppose q = -5*y + 24 + 196. Suppose -y - 22 = -3*z. Calculate the least common multiple of 14 and z.
154
Let l(z) = -z - 21. Let j be l(0). What is the least common multiple of -3 + j/(-4 + 1) and 126/8 - 1/(... | {
"pile_set_name": "DM Mathematics"
} |
2291, -2842?
-3399
What is next in -210, -816, -1774, -3042, -4578, -6340, -8286, -10374?
-12562
What is next in 2278, 9164, 20640, 36706, 57362, 82608?
112444
What comes next: 106031, 106030, 106035, 106052, 106087, 106146, 106235?
106360
What comes next: -612, -1235, -1876, -2541, -3236, -3967, -4740, -5561?
-6436
Wh... | {
"pile_set_name": "DM Mathematics"
} |
- 2616, -3*k - h*n + 2619 = 0. Suppose u + 361 = 5*o - 493, 5*o = 5*u + k. What is the units digit of o?
0
Let m be -1 + (-2)/(4/(-10)). Let c(p) = 13*p + 27. Let l(z) = 36*z + 75. Let s(g) = -11*c(g) + 4*l(g). What is the units digit of s(m)?
7
Suppose 174*u + 41496 = 187*u. What is the thousands digit of u?
3
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
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