text stringlengths 270 8.19k | meta dict |
|---|---|
Is 254451677 a composite number?
False
Is 14568821 composite?
True
Is 214958769 a composite number?
True
Is 1724903 a prime number?
False
Is 181182919 composite?
False
Is 21577211 composite?
False
Is 3208001 prime?
True
Is 48507769 a composite number?
False
Is 64255522 a composite number?
True
Is 516403 prime?
False
Is... | {
"pile_set_name": "DM Mathematics"
} |
a
Which is the second smallest value? (a) 123 (b) 3 (c) 5/6
b
What is the biggest value in 1/31, -8, -0.4?
1/31
What is the second smallest value in -2/7, -7, -120, -4, 0.5?
-7
Which is the fourth smallest value? (a) 0.1 (b) 1 (c) -1/4 (d) -2/17
b
Which is the third smallest value? (a) -0.3 (b) -19 (c) 7
c
W... | {
"pile_set_name": "DM Mathematics"
} |
08?
k + 802
What is the x'th term of -6, 2, 10?
8*x - 14
What is the v'th term of -32, -58, -82, -104, -124, -142, -158?
v**2 - 29*v - 4
What is the t'th term of 828, 1663, 2486, 3291, 4072, 4823, 5538?
-t**3 + 842*t - 13
What is the k'th term of -45, -60, -81, -108, -141, -180?
-3*k**2 - 6*k - 36
What is the f'th term... | {
"pile_set_name": "DM Mathematics"
} |
est value? (a) -0.1 (b) -1 (c) -0.2829 (d) 0.45 (e) -2/7 (f) 0.2 (g) -4
a
What is the third biggest value in -0.4, -0.3, 355625, 0.14, 0?
0
What is the seventh biggest value in -5, -59, 4.8, 0.2, 0, -2/3, -7?
-59
Which is the fifth smallest value? (a) 5 (b) -2/17 (c) 398 (d) -25.1 (e) -2/5 (f) -3
a
Which i... | {
"pile_set_name": "DM Mathematics"
} |
assuming j is positive.
j**(-94/7)
Simplify t**11/t*t/(t/(t/(t*t*t*t**(-2/23))*t))*t*t*t**(-5/4)/t*t**(2/3) assuming t is positive.
t**(2623/276)
Simplify ((l/(l**17/l))/l)/l**(5/8)*(l**(-4))**(32/9) assuming l is positive.
l**(-2221/72)
Simplify j**21*j*j**(-6/11)*j*(j**7)**(-13) assuming j is positive.
j**(-754/11)
... | {
"pile_set_name": "DM Mathematics"
} |
(s) wrt s?
7
Let o(z) be the first derivative of 0*z - 5 - 4/3*z**3 + 4*z**2. What is the second derivative of o(s) wrt s?
-8
Let s(u) = -150*u**2 - 30*u - 21. Let m(k) = 15*k**2 + 3*k + 2. Let o(b) = -21*m(b) - 2*s(b). Find the second derivative of o(y) wrt y.
-30
Let u = 11 + -5. Find the third derivative of -132*t +... | {
"pile_set_name": "DM Mathematics"
} |
0.5 - i. Let j = 0.23 + 0.17. Which is the closest to -0.1? (a) j (b) 5 (c) w
a
Let x = 1 + -3. Let s = -6.07 - -8.07. Which is the nearest to s? (a) -1/5 (b) x (c) -4
a
Let q = -3.3 - -0.3. Let j = -0.021 - -0.038. Let l = j + -0.217. Which is the nearest to l? (a) q (b) 3 (c) 1
c
Let k = -1.09 - -1.19. Let ... | {
"pile_set_name": "DM Mathematics"
} |
mmon denominator of -52/95 and 6/43.
4085
Calculate the common denominator of -70/171 and -2/27.
513
What is the least common multiple of 177 and 30?
1770
What is the lowest common multiple of 96 and 282?
4512
What is the common denominator of 55/128 and 117/320?
640
What is the lowest common multiple of 589 and 4?
235... | {
"pile_set_name": "DM Mathematics"
} |
0 (b) y (c) 3
a
Let s = 0.23 + -0.33. What is the nearest to 1 in s, 4, -3?
s
Let h = 16 + -16. Which is the closest to h? (a) 2/3 (b) -5 (c) -3
a
Let m = -0.48 + -3.52. What is the nearest to 0 in -5, -2, m?
-2
Let u(v) = v**2 + 7*v. Let m be u(-7). Which is the nearest to m? (a) -0.5 (b) -1/4 (c) -0.2
c
Let j... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(19) + 1439
Simplify ((sqrt(27) - -6*sqrt(27))/sqrt(9)*3)**2.
1323
Simplify (-3 + -2*sqrt(275)*-1 + -4)**2.
-140*sqrt(11) + 1149
Simplify -2 + (sqrt(3) + sqrt(3) + 4*sqrt(3) + 0 + -5)**2.
-60*sqrt(3) + 131
Simplify ((2 + sqrt(275) - sqrt(275)) + sqrt(275) + -3)**2.
-10*sqrt(11) + 276
Simplify (3*sqrt(117)*-1)/(sqrt... | {
"pile_set_name": "DM Mathematics"
} |
hat is the third derivative of -26*u**4 - 1075700*u**3 - 236546018*u**2 wrt u?
-624*u - 6454200
What is the derivative of -8911*i*v**3 + 434*i - 2*v**3 + 11*v**2 + 18224*v - 3 wrt i?
-8911*v**3 + 434
Differentiate o**2*u*w - 5*o**2*u + o**2*w + 1580*o**2 - 8*o*u*w - o*u + 4*u - 32216*w with respect to w.
o**2*u + o**2 ... | {
"pile_set_name": "DM Mathematics"
} |
rob of sequence sszd when four letters picked without replacement from {s: 3, z: 2, k: 1, h: 4, b: 1, d: 1}.
1/990
Two letters picked without replacement from sqqysskkkkekkyqy. What is prob of sequence yq?
3/80
What is prob of sequence jjl when three letters picked without replacement from xxxljxujug?
1/360
What is pro... | {
"pile_set_name": "DM Mathematics"
} |
comes next: -23778, -23528, -23276, -23022, -22766, -22508, -22248?
-21986
What is next in -13913, -13966, -14031, -14114, -14221?
-14358
What is next in 358359, 358341, 358313, 358269, 358203?
358109
What is next in -39757159, -39757161, -39757163, -39757165, -39757167, -39757169?
-39757171
What comes next: 7422, 1689... | {
"pile_set_name": "DM Mathematics"
} |
derivative of -586*t**3*x**2 - 142*t**3 + t**2 - t*x**4 - 3*x wrt x.
-1172*t**3 - 12*t*x**2
Find the third derivative of 5*a**2*c*q**3 - a**2*c*q - 2*a**2*q**4 - a*q**2 + 24*c*q**2 - q**4 + q**2 wrt q.
30*a**2*c - 48*a**2*q - 24*q
Find the first derivative of -27*q**3 + 3*q - 785 wrt q.
-81*q**2 + 3
Differentiate 2435*... | {
"pile_set_name": "DM Mathematics"
} |
1 and g?
11
Let b(v) = -17*v - 33. Let f(l) = -48*l - 99. Let c(i) = 17*b(i) - 6*f(i). Let j be c(9). Calculate the highest common divisor of j and 372.
12
Let w(d) = -2*d**2 + 90*d - 391. Let j be w(5). What is the highest common factor of 1467 and j?
9
Let j = 81 + 259. Suppose 2*c + c - 6 = 0, -3*z = 5*c - j. What i... | {
"pile_set_name": "DM Mathematics"
} |
4 divided by -14.
-212/7
-3938 divided by 22
-179
Divide 42498 by 1.
42498
-60 divided by -5
12
Calculate -1394 divided by 2.
-697
What is -798 divided by -19?
42
Calculate 527 divided by 1.
527
Calculate 15582 divided by -371.
-42
-48 divided by -4
12
Calculate -100 divided by -25.
4
Divide -2 by -235.
2/235
Divide -5... | {
"pile_set_name": "DM Mathematics"
} |
by 13.
12
Suppose 3*o - 33 = -3*w, 2*o = 4*w - 2*w + 42. Calculate the remainder when 62 is divided by o.
14
Let q be 166/10 + (-12)/20. Suppose 2*b - q = 6. Calculate the remainder when 41 is divided by b.
8
Let k = 3 + -1. Calculate the remainder when 5 is divided by k.
1
Let k(v) = -v**2 - 8*v - 4. Let w(s) = -s**2 ... | {
"pile_set_name": "DM Mathematics"
} |
e.
x**(106/21)
Simplify (g**(-32)/g)/g**(-31) assuming g is positive.
g**(-2)
Simplify ((x**(-4)*x)/(x*x**(-5)))/(x**(2/5)/(x/(x**1*x))) assuming x is positive.
x**(-2/5)
Simplify ((q**(1/3))**(-42))**(-22) assuming q is positive.
q**308
Simplify (i*i**8*i*(i*i*i*i**(-11)/i)/i)/(((i/i**8*i)/i)/(i*i/(i/(i**5/i))*i)) ass... | {
"pile_set_name": "DM Mathematics"
} |
he first derivative of 9*a**3 + 9*a**2 - 25 - 3 + 15*a - 8*a**3. Factor c(x).
3*(x + 1)*(x + 5)
Let 9/4*y - 2 - 1/4*y**2 = 0. Calculate y.
1, 8
What is j in 276*j + 120 - 2394/5*j**2 - 21/5*j**4 + 87*j**3 = 0?
-2/7, 1, 10
Suppose 354 = 47*g + 71*g. Solve 4/7*s**g + 4/7*s**2 - 4/7 - 4/7*s = 0 for s.
-1, 1
Let r(i) be th... | {
"pile_set_name": "DM Mathematics"
} |
2, 3, 61, 8147147
What are the prime factors of 5455631051?
13, 3727, 112601
List the prime factors of 113429117.
17, 6672301
What are the prime factors of 67426817?
67426817
What are the prime factors of 203131888?
2, 19, 691, 967
List the prime factors of 7350746.
2, 13, 29, 9749
What are the prime factors of 105430... | {
"pile_set_name": "DM Mathematics"
} |
41*q - 54. Calculate q*c(y) + 6*o(y).
2*y - 46
Let a = 14 - 8. Let q(z) = 15*z**2 + 11*z + 11. Suppose -8*g - 1000 = 424. Let x = g - -189. Let n(d) = -8*d**2 - 6*d - 6. What is a*q(k) + x*n(k)?
2*k**2
Let s be 10/75*-5*27/(-6). Let u(f) = 22*f**2 - 16*f. Let q(y) = -y**2 + y. Calculate s*u(g) + 48*q(g).
18*g**2
Let l(... | {
"pile_set_name": "DM Mathematics"
} |
029
Let q = -30 + 29.971. Let b = q - 1.671. Let u = 1.51 + b. Round u to 1 decimal place.
-0.2
Let l = -23967.9999978201 - -23968. What is l rounded to seven decimal places?
0.0000022
Let j = 49561.063 + -49691. Let o = j + -0.063. Let a = o - -129.9999931. Round a to 6 dps.
-0.000007
Let d = -591.977075362 + -9.02292... | {
"pile_set_name": "DM Mathematics"
} |
t is the greatest common factor of 6204 and 35534444?
2068
Calculate the greatest common factor of 90029728 and 736.
736
Calculate the greatest common divisor of 2376 and 23042448.
2376
Calculate the greatest common factor of 9548 and 3457740.
1364
What is the greatest common factor of 552 and 19075073?
23
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
, -2223, -3201?
-4357
What is the next term in -83, -167, -251, -335?
-419
What comes next: 15, 80, 189, 342, 539, 780?
1065
What is next in -29, -36, -57, -98, -165, -264, -401?
-582
What comes next: 110, 119, 140, 179, 242, 335?
464
What comes next: 2142, 2147, 2150, 2151, 2150, 2147, 2142?
2135
What is the next term... | {
"pile_set_name": "DM Mathematics"
} |
Is 10229 a prime number?
False
Is 1218959 prime?
False
Is 3194 a prime number?
False
Is 7901 composite?
False
Is 96601 a composite number?
False
Is 76899 a composite number?
True
Is 126979 a composite number?
True
Is 17551 a prime number?
True
Is 37397 a composite number?
False
Is 4083 a prime number?
False
Is 7111 a c... | {
"pile_set_name": "DM Mathematics"
} |
5741*l + 122 - 122 - 5741*l.
-53*l**3
Collect the terms in 95689 - 95689 + 4*j**2.
4*j**2
Collect the terms in 3*q + 30*q + 2 - 2 - 4*q - 9*q.
20*q
Collect the terms in -6*d**2 + 184*d**2 - 725*d**2 - 635*d**2.
-1182*d**2
Collect the terms in 65*c**2 - 128*c**2 + 68*c**2.
5*c**2
Collect the terms in -1 + 1 - 55*u**3 +... | {
"pile_set_name": "DM Mathematics"
} |
nator of 43/14569 and 3/17?
14569
What is the common denominator of 133/3660 and -109/100?
18300
Calculate the least common multiple of 215576 and 24.
646728
What is the common denominator of -46/48561 and 107/97122?
97122
What is the lowest common multiple of 80154 and 6588?
480924
Calculate the least common multiple ... | {
"pile_set_name": "DM Mathematics"
} |
*v - 10653894*i + 11294*v wrt v?
-201*i + 11294
Differentiate 29*h**2*y**2 + 16*h**2 + 2315*h*y**2 + 6539377*y**2 + 6*y wrt h.
58*h*y**2 + 32*h + 2315*y**2
Differentiate -9200808*h*t - 97929*t wrt h.
-9200808*t
Find the third derivative of -719419654*b**6 + 5*b**2 + b + 14942188.
-86330358480*b**3
What is the first der... | {
"pile_set_name": "DM Mathematics"
} |
t m = 370 + r. Which is the closest to 0.1? (a) -1/4 (b) -5 (c) m (d) -4/5
c
Let p = 3579.1 + -3730. Let d = 151 + p. Let k = 7 + -7.3. Which is the nearest to d? (a) 2/3 (b) k (c) 2/11
c
Let k = 524 - 524.2. Let h = 58.9 + -9.9. Let t = 46 - h. What is the nearest to k in 0, 4, t?
0
Let t = -1145 + 756. Let q =... | {
"pile_set_name": "DM Mathematics"
} |
ulate the remainder when 59223 is divided by 11.
10
What is the remainder when 248 is divided by 42?
38
Calculate the remainder when 1054 is divided by 96.
94
Calculate the remainder when 118 is divided by 3.
1
What is the remainder when 8060 is divided by 18?
14
What is the remainder when 4892 is divided by 18?
14
Cal... | {
"pile_set_name": "DM Mathematics"
} |
9, -s*z = 5*c + z + 2 for c.
2
Suppose -3*r = 4*o + 30, 0*r + r - 28 = 5*o. Suppose -2*i + 4 = -6*i, f = -2*i. Let b be ((-3)/o)/(f/32). Solve -4*z - 4*p = -b, p - 4*p = -3*z - 18 for z.
-2
Let t(k) = -k**3 - 3*k**2 - 4. Let p be t(-4). Solve z = d - 4, d - 4*d + 2*z + p = 0 for d.
4
Let v = 18 + 9. Solve 4*p - 5*d = ... | {
"pile_set_name": "DM Mathematics"
} |
151?
1
Let n = -219 - -265. What is the units digit of n?
6
Let l(i) = -i**3 + 5*i**2 + 2*i - 7. Let s be 3/6*(9 + 1). Let t be l(s). Suppose t*p = 3 - 0. What is the units digit of p?
1
What is the tens digit of ((-5)/5)/(-1*1)*43?
4
Let c = 702 + -481. What is the units digit of c?
1
Let o = -49 - -83. What is the t... | {
"pile_set_name": "DM Mathematics"
} |
Let j(f) = -f**2 - 10*f - 9. Let v = 32 - 22. Let u = 3 - v. What is the tens digit of j(u)?
1
Let j(w) = -w**3 + 10 - 2 + 4*w + 5*w**2 + w. Let t be j(6). Suppose n + g - 13 = 0, 3*n - t*g = 8*n - 59. What is the tens digit of n?
1
Let f(b) = -2*b**2 + 7 - 2*b - 4*b**3 + 11*b**2 + 5*b**3. What is the hundreds digit of... | {
"pile_set_name": "DM Mathematics"
} |
. Let o(i) = w*r(i) + 4*l(i). Determine o(-5).
-1
Let d be 1/3 - 2/(-3). Let y(p) be the second derivative of 0*p**2 + p - 1/6*p**3 + 1/12*p**4 + 3/20*p**5 + 0. Calculate y(d).
3
Let r(c) = c**3 + 5*c**2 - 6*c - 3. Suppose -2*k - 54 = 7*k. What is r(k)?
-3
Let p(w) be the third derivative of w**4/6 + 2*w**3/3 + w**2. L... | {
"pile_set_name": "DM Mathematics"
} |
4 + -2). Let i be (-2)/5 - 2/(-5). Which is the nearest to n? (a) 5 (b) k (c) i
c
Let v = -0.388 - 6.672. Let f = v - -7. Let p = -0.04 + f. Which is the closest to p? (a) 0.2 (b) 1 (c) 0
c
Suppose -6 = b - 4*b. Suppose k = -b*k. What is the nearest to k in -2, -0.5, 4?
-0.5
Let y = 13.325 + -0.025. Let w = y + -... | {
"pile_set_name": "DM Mathematics"
} |
s 4/(-6) + 5207/f a prime number?
False
Suppose 1894*d = 1874*d + 180. Let v = -19 - -10. Is ((-339)/d)/(6/v)*2 composite?
False
Let k be ((-21)/(-6))/(-7)*0. Let v(h) = h. Let r(i) = 4*i - 95. Let u(j) = -r(j) + 6*v(j). Is u(k) a prime number?
False
Suppose 0 = 5*f - n + 41, -4*n - 12 = -2*f + 4*f. Let j be (-4 - 36/f... | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(68)*3 + -5))**2 + -1).
-12735 + 1200*sqrt(17)
Simplify (sqrt(28)/(sqrt(16)/sqrt(4)))**2 + (sqrt(7) + sqrt(56)/(sqrt(8) - sqrt(8)*-2))**2 + 0 - (4 + 6*sqrt(126)/sqrt(2)).
-18*sqrt(7) + 139/9
Simplify (sqrt(24) - 4*sqrt(72)/sqrt(3) - 5*sqrt(24)*-1)/(sqrt(3200) - sqrt(3200)*-1).
sqrt(3)/20
Simplify sqrt(684)*2*4 - 1... | {
"pile_set_name": "DM Mathematics"
} |
order.
3, y, -1, l
Let l = -2284 - -2287. Put -39, -2, l, -5 in decreasing order.
l, -2, -5, -39
Let n = -7 - -5. Let c = 111 + -111.2. Put n, -6/5, c in decreasing order.
c, -6/5, n
Suppose -49*r + 56*r = 49. Sort r, 0, -3, 4 in decreasing order.
r, 4, 0, -3
Let d = -167 - -163. Put 2, -6, -1, d in ascending order.
-... | {
"pile_set_name": "DM Mathematics"
} |
22.2?
1060.3522
Work out -0.2 * -75675.
15135
Work out 82337546 * -0.5.
-41168773
-29 times -1851407
53690803
8.5 times -20273
-172320.5
Multiply -1859722.38 and 3.
-5579167.14
Multiply 5.098106 and 4.
20.392424
-83286024 times 0.5
-41643012
-518 * 27742.3
-14370511.4
-8766*65
-569790
What is 1.8749 times -1149?
-2154.... | {
"pile_set_name": "DM Mathematics"
} |
ve -245*z = -x - 249*z - 2, -8 = -3*x + 2*z for x.
2
Solve -2*c - 34 = -4*s, 601 = 3*s + c + 593 for s.
5
Solve 2*k - 3*j = 5, -3*k - 120*j = -121*j - 11 for k.
4
Solve -240*s = -236*s + m - 14, -5*s = -m - 31 for s.
5
Solve 2*z - 2*d = 4, 29 = -3*z - 23*d + 19*d for z.
-3
Solve 5*a - 1 = -j, -5*a = 2*j + 8581 - 8568 f... | {
"pile_set_name": "DM Mathematics"
} |
ivative of -301*b**4 + 9109*b**2 - 9043*b**2 + 1527*b**4 wrt b.
29424*b
Let c(r) = -r - 11. Let d be c(-13). Suppose z - 3*i - 1 = 2*z, -d*i = 2*z - 6. Find the second derivative of 14*k**z - 3*k - 16*k + 6*k wrt k.
280*k**3
What is the third derivative of 1385*u**5 - 100*u - 18154 + 5*u**2 + 2*u**4 + 18154 wrt u?
8310... | {
"pile_set_name": "DM Mathematics"
} |
rivative of 112*m**2 + 40345*m + 13384469?
224*m + 40345
Find the third derivative of -2049*k**3*r**3 - 6*k**3*r**2 + 37*k**3 - 51*k**2*r**2 - 26*k**2 + 21*k*r**3 + 280*r**3 wrt k.
-12294*r**3 - 36*r**2 + 222
What is the second derivative of -33*y**4 - 7*y**3 - 2966*y**2 - 839101792*y?
-396*y**2 - 42*y - 5932
Find the ... | {
"pile_set_name": "DM Mathematics"
} |
Let t = 20 - 4. Solve 0*l = 2*l - 4*q - t, -l - 13 = 5*q for l.
2
Suppose -4*x + 8*x - 4*m = 36, -x = 3*m + 3. Let w = -6 + x. Solve 4*v + w + 1 = -5*k, v - 11 = -5*k for v.
-4
Let r(y) be the third derivative of y**5/60 + y**4/3 + 2*y**3/3 - 3*y**2. Let n be r(-8). Solve l = f + 4*f + 21, 0 = -n*l + 2*f + 12 for l.
1
... | {
"pile_set_name": "DM Mathematics"
} |
ween 12:45 PM and 3:40 PM?
175
What is 313 minutes after 5:40 PM?
10:53 PM
How many minutes are there between 12:21 PM and 11:54 PM?
693
How many minutes are there between 5:49 AM and 3:27 PM?
578
What is 646 minutes before 8:53 AM?
10:07 PM
How many minutes are there between 11:53 PM and 2:25 AM?
152
What is 121 minut... | {
"pile_set_name": "DM Mathematics"
} |
(p) = -217*p**2 + p + 2. Let o(b) = 224*b**2 - b - 1. Determine -5*a(k) - 6*o(k).
-259*k**2 + k - 4
Let l(r) = -r**2 - 2*r - 4. Let x(m) = 9*m**2 + 13*m - 31. Let a(p) = 4*p**2 + 6*p - 11. Let o(n) = 5*a(n) - 2*x(n). Give 5*l(c) + 2*o(c).
-c**2 - 2*c - 6
Let j(u) = -4. Let s = 22 - 15. Let n(i) = 1. Let g(l) = s*n(l) +... | {
"pile_set_name": "DM Mathematics"
} |
.5 + 68.1. Round f to the nearest 10.
60
Let u = -0.6 + 0.66. Let v = u + -0.05907. Round v to 4 dps.
0.0009
Let s = 2414.00001587 - 2414. What is s rounded to 6 decimal places?
0.000016
Suppose -2*b + 5*a - 893725 = -3431740, -5*a - 1269015 = -b. What is b rounded to the nearest one hundred thousand?
1300000
Let w = -... | {
"pile_set_name": "DM Mathematics"
} |
be v(-1). Let j(d) = -2*d - 10. Let r be j(-6). Factor n*t**3 + t + t**r - 8*t**3 - t**4 + 0*t**2.
-t*(t - 1)*(t + 1)**2
Let i(h) = -h**2 + 11*h - 8. Let c be i(10). What is f in -2*f**c - f**4 + 2*f**4 + 3*f**3 - 2*f**3 = 0?
-2, 0, 1
Let g(t) = -4*t**2 - 8*t - 6. Let d(i) = 17*i**2 + 32*i + 23. Let u(c) = -2*d(c) - 9... | {
"pile_set_name": "DM Mathematics"
} |
+ 1
Expand (-2 + 2 - 53*c)*(-4 + 2 - 3)*(3*c + 3*c - 4*c).
530*c**2
Expand (-4 + 0 + 2 + (7 - 4 - 1)*(0 + 3 - 4))*(15*q**2 - 5*q**2 + 3*q**2).
-52*q**2
Expand (-1 + 0 + 3)*(0*u**4 + 0*u**4 - u**4) + 2416*u**4 - 770*u**4 - 640*u**4.
1004*u**4
Expand (0*u**2 - 4*u**2 + 2*u**2)*(-5*u + 9*u + 8*u)*(1 + 4 - 4)*(-2 + 1 + 0).... | {
"pile_set_name": "DM Mathematics"
} |
/70 - 13*d**5/30 - 769*d**2. What is the third derivative of a(b) wrt b?
23832*b
Let q(n) be the third derivative of 1037*n**4/12 + 428*n**3 + 538*n**2. Differentiate q(x) with respect to x.
2074
Let k(j) be the first derivative of 5*j**4 + 5*j**3/3 - 679*j + 57. What is the derivative of k(s) wrt s?
60*s**2 + 10*s
Let... | {
"pile_set_name": "DM Mathematics"
} |
when 7197388 is divided by 38.
36
What is the remainder when 11734 is divided by 97?
94
What is the remainder when 4889 is divided by 39?
14
What is the remainder when 1760 is divided by 1472?
288
What is the remainder when 119442 is divided by 26?
24
What is the remainder when 257927 is divided by 257916?
11
Calculat... | {
"pile_set_name": "DM Mathematics"
} |
Let o be (-28)/(-6) - u/(-15). Suppose -2*x + 12 = -o*x. Sort 0, 1, x in descending order.
1, 0, x
Let m(t) = -t**3 - 4*t**2 - 4*t + 1. Let a be m(-3). Let f = 7 + -4. Sort f, a, -2 in decreasing order.
a, f, -2
Let i be (-3 - -2)*(1 - -2). Let b be (3 + i)/(2/1). Sort 3, 2, b in increasing order.
b, 2, 3
Suppose 2*q =... | {
"pile_set_name": "DM Mathematics"
} |
5 + 3)*(-2*c**2 + 0*c + 0*c) - 402 + 4*c**2 + 402.
2*c**2
Expand (-3*y + y + y)*(42*y - 111*y + 57*y).
12*y**2
Expand (3*w**2 + 4*w**2 - 5*w**2)*(6720*w**2 - 3061*w**2 - 2950*w**2).
1418*w**4
Expand (-b + 7323*b**2 + 8 + 6*b - 7319*b**2)*(b - 4*b + 2*b).
-4*b**3 - 5*b**2 - 8*b
Expand (96*a**2 - 212*a**2 + 63*a**2)*(a*... | {
"pile_set_name": "DM Mathematics"
} |
e prob of sequence vx.
3/110
Two letters picked without replacement from {w: 7, c: 4, j: 2, d: 1, p: 1}. Give prob of sequence cp.
2/105
Calculate prob of sequence jsj when three letters picked without replacement from snjjjnnnnnnjn.
1/143
Two letters picked without replacement from {v: 6, k: 1, q: 1, c: 2, s: 3}. What... | {
"pile_set_name": "DM Mathematics"
} |
rder.
-396, -141, 32
Sort -2, 66, -101855 in ascending order.
-101855, -2, 66
Put -0.1, -0.3, 0.4, -18.21, 2 in decreasing order.
2, 0.4, -0.1, -0.3, -18.21
Put -7, -5, 644, 1 in ascending order.
-7, -5, 1, 644
Sort 5, -2790565, -0.5 in increasing order.
-2790565, -0.5, 5
Sort -410, -2, 3, -38, -1, -171, -3 in descendi... | {
"pile_set_name": "DM Mathematics"
} |
*3 and give n.
-6
Rearrange 0*q + q**3 + 0*q - q + (11*q**2 + q**2 - q**2)*(-7*q + 5*q - 5*q) to h*q**2 + y*q**3 + d*q + z and give d.
-1
Rearrange (-4 + 7 + 3)*(1 - 1 - 6)*(0*f**2 - f**2 + 0*f**2) to the form r*f**2 + x + y*f and give r.
36
Rearrange -16*a**2 + 47*a**2 - 15*a**2 + (-3*a + 2*a + 0*a)*(-3*a + 3*a - 2*a)... | {
"pile_set_name": "DM Mathematics"
} |
2*s + 3*s - 6 = 0, -h + s + 2 = 0. Let g = -0.6 - -1. Which is the closest to h? (a) -0.4 (b) 1 (c) g
b
Let a = -5.1127 + 0.1127. Let w = -4/45 + -38/45. Let s = w - -3/5. What is the nearest to -2/7 in -2/7, a, s?
-2/7
Suppose -4*m = -b + 6, -4*b = 13*m - 12*m - 58. Let y = -2.2 - -0.2. What is the closest to 2/3 i... | {
"pile_set_name": "DM Mathematics"
} |
5515?
5726
What comes next: -7261, -7199, -7137, -7075, -7013?
-6951
What is next in 1461, 218, -3159, -9738, -20587?
-36774
What comes next: 13677, 13679, 13681, 13683, 13685, 13687?
13689
What is next in 308, 379, 492, 641, 820, 1023, 1244?
1477
What comes next: 7973, 15959, 23945?
31931
What is the next term in -183... | {
"pile_set_name": "DM Mathematics"
} |
is the second derivative of -4*h + 3*h + 2*h - 2*h**z wrt h?
-12*h
Let f(p) = 2*p**2 + 11*p + 3. Let k(w) = w**2 + w. Let r(m) = -f(m) + 3*k(m). Let q be r(9). Differentiate -6*d - 1 + q*d - 2*d**3 wrt d.
-6*d**2
Let w(o) be the third derivative of 2*o**5/15 - o**3/6 + 2*o**2. What is the first derivative of w(l) wrt l... | {
"pile_set_name": "DM Mathematics"
} |
is 1100101101001101001 + -10101011?
1100101100110111110
In base 8, what is 17 + -76303062?
-76303043
In base 4, what is 0 - 1201313012?
-1201313012
In base 3, what is 10 + 111211002210120?
111211002210200
In base 9, what is 8 + 80421473?
80421482
In base 12, what is 1a3199a - -b?
1a319a9
In base 12, what is a723 - -40?... | {
"pile_set_name": "DM Mathematics"
} |
*(h*h/(h/h**(-27)))/h*h)**(-7)/(h**21*h*h)**(-47) assuming h is positive.
h**1256
Simplify (x**(-5)/x*x**(-2)*x)**(-3)/((x**1)**(-4/3)*(x**(-2/7))**34) assuming x is positive.
x**(673/21)
Simplify ((m**(-3/2)*m)/m**(-5/3))**(-49)/((m**(-2/13)/m**(-1/4))/((m*m*m**(-2/7))/(m/(m*m**(-2/9))))) assuming m is positive.
m**(-... | {
"pile_set_name": "DM Mathematics"
} |
= -s for o.
1
Solve 0 = -3*p + b - 19, p + 3*b - 2*b = -1 for p.
-5
Solve 22 = 4*s - 2*k, -s + 9 = -2*k - 4 for s.
3
Solve y + 4 = 0, 10*p - 5*p + 2*y - 2 = 0 for p.
2
Solve -5*d - 13 = 2*v - 33, -2*v + 12 = d for d.
2
Solve 8 = -d + 3*k, 102*d - 2*k = 100*d for d.
4
Solve g = 4, 4*x = -4*g + 9*g - 12 for x.
2
Solve 4... | {
"pile_set_name": "DM Mathematics"
} |
or x?
x
Let y be ((-24)/(-42))/(2/1). Let s = -145 - -139. Which is bigger: y or s?
y
Let k = -728/3641 + 6/331. Which is greater: 0.46 or k?
0.46
Let y be (-16)/10*105/(-2). Let u = 165/2 - y. Which is greater: -1 or u?
-1
Let k = -2 - -1.9. Let x = 0.1854 - 7.1854. Is x bigger than k?
False
Let i = 289 + -288.95. Is ... | {
"pile_set_name": "DM Mathematics"
} |
t common factor of 1300 and 3100.
100
What is the highest common divisor of 294 and 336?
42
What is the greatest common factor of 2688 and 140?
28
Calculate the greatest common factor of 99 and 66.
33
Calculate the highest common divisor of 477 and 486.
9
What is the greatest common divisor of 123 and 410?
41
Calculate... | {
"pile_set_name": "DM Mathematics"
} |
- 14. Calculate the highest common factor of 4 and j.
4
Let c = -44 - -30. Let v be 610/35 - 8/c. Calculate the greatest common divisor of v and 108.
18
Let z = -924 - -958. Calculate the greatest common factor of z and 2108.
34
Suppose 82*s - 77*s - 575 = 0. Suppose -f - 95 = n - 2*n, -s = -n + 5*f. What is the greate... | {
"pile_set_name": "DM Mathematics"
} |
Let w(l) = -l**2 - 3*l + 1. Let g be w(-4). Let z be -1*g/2*2. Suppose -z*s + 38 = 8. What is the highest common divisor of 90 and s?
10
Let w be -30*((-20)/6)/5. Let k = -50 + w. Let n = k + 44. What is the greatest common factor of 28 and n?
14
Let y(t) = -t**2 - t + 348. Let i be y(0). Let c = 501 - i. Calculate the... | {
"pile_set_name": "DM Mathematics"
} |
? (a) f (b) -2 (c) 3
c
Let a = 53/85 + -11977/19890. Let m = 22723/1170 - a. Let d = 20 - m. What is the third smallest value in 6/7, 0.2, d?
6/7
Let k = -455 + 451. What is the second smallest value in k, -0.2, -7, -10?
-7
Let x = 1/239 - 965/2151. Which is the third smallest value? (a) x (b) 5 (c) 2/19
b
Suppos... | {
"pile_set_name": "DM Mathematics"
} |
in ascending order.
-10, -2, a
Let y(k) = -k**3 + 6*k**2 + 5. Let p be y(6). Suppose 4180 = 28*m - 39*m. Let d be (-2)/(-10) + (-10184)/m. Put -3, d, p in ascending order.
-3, p, d
Let v = 5.524 - 0.524. Let y = -7 + -1.4. Let u = y - -3.4. Sort v, u, -0.05 in decreasing order.
v, -0.05, u
Suppose -19 = 229*h - 228*h -... | {
"pile_set_name": "DM Mathematics"
} |
rt(5)
Simplify -3*((2 + -2*3*sqrt(343) + -1)**2 + 1).
-37050 + 252*sqrt(7)
Simplify (-6*5*(sqrt(2025) + sqrt(2025)*3))/((sqrt(1080) - sqrt(1080)*-2 - sqrt(1080))/(4*sqrt(54))).
-1080*sqrt(5)
Simplify (2 + sqrt(1053)*2 + (-6*sqrt(208) - (sqrt(208) + -1 + sqrt(208) + sqrt(208))) + 3 + 3)**2.
-324*sqrt(13) + 4293
Simplify... | {
"pile_set_name": "DM Mathematics"
} |
common denominator of -29/1736 and -29/645296?
4517072
What is the smallest common multiple of 716960 and 53772?
2150880
What is the least common multiple of 16944 and 19062?
152496
What is the lowest common multiple of 121845 and 194952?
974760
What is the lowest common multiple of 3384 and 83472?
250416
Calculate th... | {
"pile_set_name": "DM Mathematics"
} |
36. Suppose 51803 = v*w - 20197. Let l be (8/10)/(8/w). Round l to the nearest one thousand.
1000
Let s = -0.444 + -0.086. Let y = s + 0.404. What is y rounded to two decimal places?
-0.13
Let q = -5.27 + 4.76. Round q to the nearest integer.
-1
Let p = -19.7 - -18. Let j = p - -1.662. What is j rounded to 2 dps?
-0.04... | {
"pile_set_name": "DM Mathematics"
} |
5/270662006
Calculate 459162942 divided by -153054314.
-3
Calculate 155757840 divided by 3045.
51152
-138684572 divided by -18668
7429
-4424572 divided by -146
2212286/73
What is 116 divided by -1688360?
-29/422090
-1758 divided by 99348
-293/16558
Calculate -56780834 divided by -56780834.
1
Calculate -5127960 divided... | {
"pile_set_name": "DM Mathematics"
} |
d 5.
5
Let n be ((-18)/12)/(2/(-76)). Suppose -z - 2*z = -n. Calculate the highest common divisor of z and 57.
19
Let u(a) = -a + 15. Let y be u(0). What is the highest common divisor of 15 and y?
15
Let l = -4 + 4. Suppose -3*o - 12 = l, 4*o + 19 = 2*z - 57. Let m = -16 + z. What is the greatest common factor of 98 an... | {
"pile_set_name": "DM Mathematics"
} |
) be the second derivative of 5*x**3/6 + 8*x. Let f(m) = -2*m**2. What is f(j(s))?
-50*s**2
Let h(g) = 7*g**2 + 3*g. Let q(l) = -20*l**2 - 8*l. Let f(z) = -8*h(z) - 3*q(z). Let a(t) be the second derivative of -t**3/3 + t. Calculate f(a(o)).
16*o**2
Let k(v) = -2*v**2 + 9. Let l(b) = 686*b**2. Calculate l(k(s)).
2744*s... | {
"pile_set_name": "DM Mathematics"
} |
ose l = -3*t - 8. Let z be n(t). Determine p(z).
-6
Let z(u) = u + 11. Suppose -12*s + 0*s = s. Calculate z(s).
11
Let q(f) be the first derivative of f**2 + 2*f - 11. Give q(-5).
-8
Suppose i + 5 = 2*i. Suppose i*a + 5 + 15 = 0. Let s(f) = -f**2 - 4*f - 3. Calculate s(a).
-3
Let z(n) = -n**2 - 8*n + 1. Let c be z(-8).... | {
"pile_set_name": "DM Mathematics"
} |
)**2*(t - 1)**2/11
Determine r, given that 12/5*r**4 + 9312/5*r**3 + 4638/5 + 5571*r**2 + 20877/5*r = 0.
-773, -2, -1/2
Let k(q) be the first derivative of q**6/9 + 176*q**5/15 + 1097*q**4/6 + 9196*q**3/9 + 2084*q**2 + 1776*q + 1792. Suppose k(u) = 0. What is u?
-74, -6, -1
Let i(c) = c - 18. Let u be i(24). Let z(b) b... | {
"pile_set_name": "DM Mathematics"
} |
00005
Let h = -42 + 86. Let z = 41.1 - h. Let v = z + 2.14. Round v to one decimal place.
-0.8
Let u = 4614.82 + -4667. Let i = u + 53. Round i to 1 dp.
0.8
Let t = -23 + 18. Let b = -4.99992 - t. What is b rounded to four decimal places?
0.0001
Let i = 17 + -17.000004. Round i to 5 decimal places.
0
Let x = -1.77 - -0... | {
"pile_set_name": "DM Mathematics"
} |
mber?
False
Is 7981 prime?
False
Is 3043 a prime number?
False
Is 121645 a composite number?
True
Is 3281581 a prime number?
False
Is 133997 a composite number?
True
Is 1756707 a prime number?
False
Is 20089 prime?
True
Is 1207447 a composite number?
False
Is 232873 a composite number?
True
Is 123049 a composite number... | {
"pile_set_name": "DM Mathematics"
} |
4*d**2 - 16*d + 22. Let w be n(5). Is 41 > w?
False
Let g = 3271/9 - 363. Suppose 3*n - 3*s = 6, 5*n - s - 1 = -5*s. Are g and n equal?
False
Let q = 553.08 - 553. Suppose 3*l - l = 4. Is q != l?
True
Let o = 32 - 80. Let u be ((-50)/90)/((-46)/o - 1). Is u equal to 2/7?
False
Let z be (0 + 1)/(4/12). Suppose -5*l = z*... | {
"pile_set_name": "DM Mathematics"
} |
dreds digit of i(-15)?
7
Suppose 6*s + 4*s = 30. Suppose -920 = -s*j - 89. Suppose 0*h + 549 = 4*k + h, h - j = -2*k. What is the hundreds digit of k?
1
Suppose -3495 = -9*i + 9870. Suppose -36*t + i = -33*t. What is the tens digit of t?
9
Let l(y) = y**3 + 34*y**2 + 5*y - 26. What is the thousands digit of l(-26)?
5
L... | {
"pile_set_name": "DM Mathematics"
} |
ferent values?
True
Suppose 3*r + r = 36. Suppose 5*j - r = 4*a, -2*a - 2*a = 4. Which is smaller: -1/6 or j?
-1/6
Let o = -0.227 - -1.227. Is o greater than -2/9?
True
Let u(z) = 1 - z**2 + 0*z**2 + 0*z - z. Let r be u(-2). Let l be (-315)/(-329) - (1 - 0). Which is greater: l or r?
l
Suppose -9*r = -2*u - 4*r - 1711,... | {
"pile_set_name": "DM Mathematics"
} |
= 0.
-4, -3, 10/27
Let y(w) be the first derivative of w**6/3 - 12*w**4 - 128*w**3/3 - 48*w**2 - 369. Factor y(u).
2*u*(u - 6)*(u + 2)**3
Factor 2*o**3 + 117 - o**4 - 16*o**2 + 10*o**3 + 48*o**2 - 48*o - 261 + 2*o**4.
(o - 2)*(o + 2)*(o + 6)**2
Find c, given that 8*c**4 + 476*c**2 + 13075 - 13075 - 124*c**3 - 360*c = ... | {
"pile_set_name": "DM Mathematics"
} |
rivative of -2*j**5/15 + 2*j**2. Let k be 1 + (-5)/(-5) + 21. Let b(g) = -k*g + 20*g + 3 - 3. Determine b(u(x)).
24*x**2
Let h(l) be the second derivative of 0 + 0*l**2 - 43/12*l**4 + 0*l**3 + 34*l. Let z(t) = 2*t. Give z(h(k)).
-86*k**2
Let a(o) be the first derivative of o**3/3 + o - 14. Let h(r) be the first derivat... | {
"pile_set_name": "DM Mathematics"
} |
9, -718535, -958065, -1197615?
-w**3 + 2*w**2 - 239507*w - 5
What is the o'th term of -247955704, -247955705, -247955706, -247955707, -247955708, -247955709?
-o - 247955703
What is the x'th term of 68781, 137577, 206373, 275169, 343965, 412761?
68796*x - 15
What is the l'th term of -79436355, -158872701, -238309033, -3... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 2*j. Let d(b) = b**3 - 6*b**2 - 8*b + 3. Let k be d(7). Let o be i(k). What is the highest common divisor of o and 32?
8
Let j = -461 - -869. Suppose 5*y - j + 133 = 0. Suppose 3*x + 66 = 6*x. What is the greatest common divisor of y and x?
11
Let j be (1400/21)/8 - (-2)/3. Calculate the greatest common divisor o... | {
"pile_set_name": "DM Mathematics"
} |
-2*b**2 - 18*b - 41. Let o be 1*(90/(-16) + 6 - 54/16). Give k(o).
-5
Let f = -4188 + 4152. Let b(j) = -j**2 - 37*j - 41. Give b(f).
-5
Suppose 5*w = -m - 9 + 65, 2*m - w = 101. Let t = -48 + m. Let p(y) = 4*y + 0*y + 3 - y + t*y**2 - y**3. Give p(4).
-1
Let j(h) be the third derivative of h**6/120 + h**5/60 - h**4/12 ... | {
"pile_set_name": "DM Mathematics"
} |
s the nearest to 0.2? (a) 1526 (b) 4 (c) -1 (d) 9
c
Which is the closest to -0.2? (a) 0.025 (b) 4 (c) -6
a
What is the closest to -19 in 2, -3, 66?
-3
What is the closest to -34835 in 1/2, 2, -1?
-1
What is the nearest to 1/127 in 0.5, -7/3, -4, 1.3?
0.5
What is the nearest to -2 in -7, 0.6, 4, -1, -3.6?
-1
What... | {
"pile_set_name": "DM Mathematics"
} |
(m) = 5*m**3 + m**2 - m + 13. Let w(j) = -j**3 + j**2 - 1. Let d(c) = -l(c) - 6*w(c). Determine d(7).
0
Let x(b) be the first derivative of 2*b**2 + 5*b + 18. Calculate x(-5).
-15
Let u(d) = -2*d - 5. Let p be u(-10). Suppose 0 = -5*g + 15 + p. Let j(l) = -10 + 6*l**3 - 2*l**2 - g + l + 16. What is j(1)?
5
Let g = 39 -... | {
"pile_set_name": "DM Mathematics"
} |
2/51
Which is the nearest to 0.73? (a) -1 (b) 0 (c) 5 (d) 2/3 (e) -2/3
d
Which is the nearest to 1? (a) -1/2 (b) 0.4538 (c) 2/13
b
Which is the nearest to -5? (a) 0.01 (b) 0 (c) 19/5
b
Which is the closest to 2/245? (a) 2/3 (b) 1/2 (c) 5 (d) -0.2
d
Which is the nearest to 0.06? (a) 799 (b) -4 (c) 5 (... | {
"pile_set_name": "DM Mathematics"
} |
+ 2. Suppose 0*f - 12 = -2*f. Let o be -3*(2 - (-8)/f). Let v be ((-2)/4)/(1/o). Let k(n) = 4*n - 2. What is v*q(m) + 6*k(m)?
-m - 2
Let d(r) = -14*r**3 + 4*r**2 - 4*r - 6. Let z(n) = n**3 - n**2 + n + 1. Give -d(k) - 4*z(k).
10*k**3 + 2
Let b(m) = m**2. Suppose 4*g - 25 = 23. Let v be (2/3)/(g/18). Let f(x) = x**2. G... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*t**4)*(-47*t + 11*t - 68*t - 25*t).
-258*t**5
Expand (0*m**2 - m**2 + 12 - 10)*(7*m + 14*m - 8*m).
-13*m**3 + 26*m
Expand (2*l + 4 - 4)*(3 + l - 5 + 0*l).
2*l**2 - 4*l
Expand (1008*o + 3659*o + 798*o + 4026*o - 1975*o)*(5 - 2 - 4).
-7516*o
Expand (1 - 8*m - 10*m + 32*m)*(1 - 1 + 1).
14*m + 1
Expand (1 - 3 + 3)*(8 +... | {
"pile_set_name": "DM Mathematics"
} |
, 116, 2, -1 in ascending order.
-529, -1, 2, 7, 116
Put -4, -2, -3, -146, -9, 19, 3 in descending order.
19, 3, -2, -3, -4, -9, -146
Sort -1, 4749260, 0 in decreasing order.
4749260, 0, -1
Put 431, -2, -1751 in descending order.
431, -2, -1751
Put 5, 6, 0, -4, -1, 441, 211 in descending order.
441, 211, 6, 5, 0, -1, -... | {
"pile_set_name": "DM Mathematics"
} |
648*q + 18
Let v(g) = g. Let z(r) = 39*r**2 - 175*r - 330. Give v(z(c)).
39*c**2 - 175*c - 330
Let j(x) = 8*x**2 - x - 3. Let q(t) = 8*t - 62. Calculate q(j(u)).
64*u**2 - 8*u - 86
Let i(p) = 131*p**2. Let a(g) be the third derivative of -5*g**4/24 + g**2 - 1. Calculate i(a(r)).
3275*r**2
Let o(c) = 6*c**2 - 48. Let g(... | {
"pile_set_name": "DM Mathematics"
} |
-0.3, 1/4?
1/4
Which is the third smallest value? (a) -2/13 (b) -17 (c) -3/4 (d) -11
c
What is the third biggest value in -2, -3/4, -149?
-149
What is the biggest value in 0.5, -0.01, 0.4?
0.5
Which is the second smallest value? (a) 2/13 (b) 4 (c) -2/2673 (d) -0.3
c
What is the second biggest value in 11, -0.5,... | {
"pile_set_name": "DM Mathematics"
} |
u + 42, -4163*u = 2*y - 4164*u + 14 for y.
-7
Solve 3*b - 4*t = -19, -905*t = -900*t - 20 for b.
-1
Solve -5*y = -5*p + 60, 0 = -2*p - 4*y - 0*y + 24 for p.
12
Solve -42 = -3*m - 3*s, -59*m + 6*s - 64 = -63*m for m.
10
Solve v - u + 7 = 0, 5*v - 7*v = 4*u - 10 for v.
-3
Solve 5*b - s = -13, 4*b + s - 36 = -50 for b.
-3... | {
"pile_set_name": "DM Mathematics"
} |
8
What is the highest common divisor of 38622 and 1413?
471
Calculate the highest common factor of 120 and 14610.
30
What is the highest common factor of 63 and 39081?
21
Calculate the greatest common factor of 56 and 18732.
28
Calculate the highest common factor of 27897 and 663.
51
Calculate the greatest common fact... | {
"pile_set_name": "DM Mathematics"
} |
8516766 a multiple of 17?
False
Is 2367494580 a multiple of 1005?
True
Does 2251 divide 132378331?
False
Is 739356735 a multiple of 171?
False
Does 139 divide 315332298?
False
Is 149 a factor of 356610580?
False
Is 2749337496 a multiple of 67?
True
Is 1155574 a multiple of 59?
True
Is 7 a factor of 9888711?
True
Is 658... | {
"pile_set_name": "DM Mathematics"
} |
culate prob of picking 1 b and 1 a when two letters picked without replacement from {a: 11, b: 3, q: 1, n: 4}.
11/57
Three letters picked without replacement from {o: 1, d: 2, n: 3, l: 4}. Give prob of picking 1 o, 1 d, and 1 l.
1/15
Three letters picked without replacement from {g: 2, o: 1, e: 3, t: 1, v: 4, c: 4}. Gi... | {
"pile_set_name": "DM Mathematics"
} |
at least t?
False
Let a be (-1226)/(-40) - 2/5. Let c = -30 + a. Let l = 5 + -5.1. Is c < l?
False
Suppose 0 = -5*q + 2*q. Let a be 1 + ((-10)/4 - q). Let x(i) = -i**3 + 5*i**2 + i - 4. Let t be x(5). Is t at least a?
True
Let b = -15461 + 9446673/611. Which is smaller: b or 0?
0
Let p = 5 + -2. Suppose -f + 6 = 4, 3*... | {
"pile_set_name": "DM Mathematics"
} |
ve of -397165*o**2*w**2 + 2*o**2*w - o**2 + 39*o*w + 2*o - 21*w**2 + 565*w + 48 wrt w?
-794330*o**2 - 42
Find the second derivative of -1593060*l**2*m**2*z**2 + l**2*z**2 + 102*l*m*z**2 + 2*l*m + l*z + 18*m**2*z + 11*m**2 + 3*m*z**2 wrt l.
-3186120*m**2*z**2 + 2*z**2
Find the second derivative of 4653755*g**2 - 1390816... | {
"pile_set_name": "DM Mathematics"
} |
b) -0.124 (c) 5/2 (d) 15
b
Which is the nearest to -2? (a) 0 (b) -4/37 (c) 4 (d) -1.323
d
Which is the closest to -2? (a) 0.15 (b) 1304 (c) -69
a
What is the nearest to 0.1 in 8, -5/11, -8, 16, -5?
-5/11
What is the nearest to -0.1 in -1/4, -223, -13655?
-1/4
Which is the closest to -0.1? (a) -9 (b) -0.4 (c... | {
"pile_set_name": "DM Mathematics"
} |
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