text stringlengths 270 8.19k | meta dict |
|---|---|
= 5*u. What is u rounded to the nearest one thousand?
15000
Let h = 176 + -176.00003402. What is h rounded to 6 dps?
-0.000034
Let t = -112 - -318. Let j = -205.9857 + t. Round j to three decimal places.
0.014
Let z = -45947.12569 - -0.52569. Let b = z + 45951.19926. Let j = b - 4.6. Round j to four dps.
-0.0007
Let o... | {
"pile_set_name": "DM Mathematics"
} |
2*z + 4
Differentiate -32*z**2 + 12*z**2 + 19*z**2 - 706*z + 4752 - 242*z - 326 with respect to z.
-2*z - 948
Let w(i) be the third derivative of -515*i**4/6 - 574*i**3 + 2849*i**2. Find the first derivative of w(q) wrt q.
-2060
Let s(v) = 2*v**2 + 3*v + 2. Let j(y) = -y**3 + y**2 - y. Let g(u) = -j(u) - s(u). Let x be... | {
"pile_set_name": "DM Mathematics"
} |
o a multiple of 10?
True
Let x = 209 + -138. Is x a multiple of 4?
False
Is (124/12)/((-2)/(-6)) a multiple of 6?
False
Let i(x) = -x**2 - 9*x - 7. Suppose r - 3*r = 12. Is 11 a factor of i(r)?
True
Let g be (-1 + -2)*-2 - 3. Suppose w + 2*d + 30 = 2*w, -g*d - 6 = 0. Does 7 divide w?
False
Let y(v) = 2*v**2 - v + 176. ... | {
"pile_set_name": "DM Mathematics"
} |
- 8. Is y composite?
False
Suppose 0 = 2*v - 2, 2*v - 4*v = -3*n + 4. Let l be 0/1*(n - 1). Suppose l = -4*x - 0*x + 156. Is x composite?
True
Is -1 + 0 + 110 - 0 a composite number?
False
Suppose l = 6*l - 1865. Is l composite?
False
Suppose m - 74 = -4*o, 61 = -o + 4*o - 2*m. Let n = o + 18. Is n a composite number?... | {
"pile_set_name": "DM Mathematics"
} |
reasing order.
-3, -2/7, t
Let a = -7 + 15. Suppose 8*l - a = 12*l. Let y = 0.43 + -0.03. Sort 1/5, y, l.
l, 1/5, y
Let t(r) = -11 - r**2 + 9 - r - 3*r**2. Let o be t(-1). Sort 0, -3, o.
o, -3, 0
Suppose 22 = 2*p + 72. Suppose 0 = -3*o + 3 - 0. Let l be p/9 + 2 + o. Put 1, l, 2 in decreasing order.
2, 1, l
Suppose -2*h... | {
"pile_set_name": "DM Mathematics"
} |
38461429?
True
Is 42678925 a multiple of 425?
True
Does 14 divide 37612596?
True
Is 29 a factor of 2891017100?
False
Does 339 divide 58375643?
False
Is 116847326 a multiple of 2306?
True
Is 3208583509 a multiple of 998?
False
Is 42 a factor of 129695401?
False
Is 1093434183 a multiple of 271?
False
Is 4 a factor of 535... | {
"pile_set_name": "DM Mathematics"
} |
uppose 22*f = -k*f. Let g(y) = y**2 + 2*y - 3. Calculate g(f).
-3
Let o(q) = 9*q - 151. Let b be o(18). Let v(j) = -b + j - j + 7 + 3*j. Give v(2).
2
Let c(i) be the first derivative of i**6/120 - 3*i**5/20 - i**4/12 + 3*i**3 - 143*i**2/2 + 145. Let d(o) be the second derivative of c(o). What is d(9)?
0
Let j = -69 + 7... | {
"pile_set_name": "DM Mathematics"
} |
y -1 + (2*(2*sqrt(95)*-6 + (sqrt(95) - 5*-2*sqrt(95))))/(sqrt(405) + sqrt(405)*2*-6 + -3*-2*sqrt(405)).
-1 + 2*sqrt(19)/45
Simplify (-4*(sqrt(440)/sqrt(250)*-4 + 2*(6*sqrt(308)/sqrt(7) - sqrt(44))))**2.
1489664/25
Simplify 3*(sqrt(27) + sqrt(189)/(sqrt(7)*3) + sqrt(108)*2)/(sqrt(72)/((sqrt(40) - ((sqrt(40) - 2*sqrt(40)... | {
"pile_set_name": "DM Mathematics"
} |
3 - 4*a**2 - 458*a - 8
What is the l'th term of -615, -1142, -1665, -2184, -2699, -3210?
2*l**2 - 533*l - 84
What is the f'th term of 79, 465, 1533, 3631, 7107, 12309, 19585?
58*f**3 - 7*f**2 + f + 27
What is the r'th term of -946, -1895, -2858, -3835, -4826?
-7*r**2 - 928*r - 11
What is the u'th term of -23, 106, 365,... | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 27806.
2, 13903
List the prime factors of 12109.
12109
What are the prime factors of 56722?
2, 79, 359
What are the prime factors of 6058?
2, 13, 233
List the prime factors of 10751.
13, 827
List the prime factors of 32854.
2, 16427
What are the prime factors of 15010?
2, 5, 19, 79
List the prime fact... | {
"pile_set_name": "DM Mathematics"
} |
01. Let g be 4/3 - 3/9. Which is smaller: r or g?
r
Let j = -142 - -166. Let r be 2 + j + -24 + (0 - 1). Which is smaller: 2/205 or r?
2/205
Let c be -4*(-6)/(-48) + 27/6. Suppose 3*q + c*r - 546 = 969, 0 = r. Is q less than or equal to 505?
True
Suppose 0 = 5*r + 5*o - 10220, r + 2*o - 2152 = -104. Suppose -6*h = 28*h... | {
"pile_set_name": "DM Mathematics"
} |
(i) = -3*i**2 + 6*i - 6. Let m(d) = -6*b(d) + 5*o(d). Let z(y) = -13*y**2. What is m(z(t))?
-507*t**4
Let u(p) = -6*p**2. Let c(n) = n**2 + 4*n - 3*n**2 - 4*n. Calculate c(u(l)).
-72*l**4
Suppose 0 = -3*i + 12 + 39. Let b(w) = 17 + w**2 - i. Let p(y) be the second derivative of -y**4/12 + 9*y. Calculate b(p(d)).
d**4
L... | {
"pile_set_name": "DM Mathematics"
} |
picking 1 d and 1 g.
5/24
What is prob of picking 1 k, 1 u, 1 n, and 1 l when four letters picked without replacement from yyyykuuuufln?
4/495
Calculate prob of picking 2 v and 2 k when four letters picked without replacement from vvkmvmmmvmmkk.
18/715
Four letters picked without replacement from {y: 3, c: 5, j: 7, l: ... | {
"pile_set_name": "DM Mathematics"
} |
value in 33, 0.2, -2/7, 0.3, 20.8, -2.16?
0.2
Which is the sixth smallest value? (a) 8 (b) -4 (c) 1 (d) 0.154 (e) 0.3 (f) -12
a
Which is the sixth smallest value? (a) 1.501 (b) -57 (c) -3 (d) 2 (e) 1 (f) -2/7 (g) 1/7
a
What is the third biggest value in 2.17, -2, -4/9, 2/19, -2/5, 1/2?
2/19
Which is the th... | {
"pile_set_name": "DM Mathematics"
} |
- 7 + 1 = 0. Suppose -t + 16 = t. Solve -5*g - y = t for g.
-2
Let v(f) = f**2 + 11*f + 15. Let a be v(-11). Solve -2*l - a = l for l.
-5
Let o be (3 + -2)*(-1 + 1). Suppose 5*r - r = o. Suppose b = -r*b. Solve -2*i + i + 1 = b for i.
1
Let x be (6/(-21))/(1/(-7)). Suppose -2*m + 4*c + 71 = m, 0 = x*c - 2. Suppose s =... | {
"pile_set_name": "DM Mathematics"
} |
27159121 prime?
False
Is 18471913 a composite number?
False
Is 488167 a composite number?
True
Is 110707769 a composite number?
False
Is 113103191 composite?
True
Is 214237867 prime?
False
Is 1371239 prime?
False
Is 23975261 a prime number?
True
Is 148241981 composite?
False
Is 411095999 prime?
True
Is 14715451 a prim... | {
"pile_set_name": "DM Mathematics"
} |
are the prime factors of 1667346?
2, 3, 277891
List the prime factors of 332939.
223, 1493
List the prime factors of 484696.
2, 43, 1409
List the prime factors of 3305119.
3305119
List the prime factors of 5272887.
3, 41, 163, 263
List the prime factors of 238432.
2, 7451
What are the prime factors of 26004611?
17, 152... | {
"pile_set_name": "DM Mathematics"
} |
/((-12)/18).
-6
Evaluate 7 - (-44)/(-12) - 2.
4/3
6/((-1 - (-14)/(-4))/3)
-4
What is the value of (-7)/((-28)/12) - (-25)/(-10)?
1/2
What is (44/55)/(24/(-20))?
-2/3
Calculate ((-9)/12)/((-3)/28).
7
Evaluate (-21)/6*-24*4/(-56).
-6
What is (4*24/(-112))/(-3 + 0)?
2/7
What is -553*3/(-126) + -13?
1/6
Evaluate ((-21)/(-2... | {
"pile_set_name": "DM Mathematics"
} |
-503 + 886. What is the units digit of j?
3
Let s = -121 + 231. What is the hundreds digit of s?
1
Suppose 0 = 8*w - 7*w - 1, -2*t + 1253 = w. What is the units digit of t?
6
Suppose 5*p - 8*t = -11*t + 7561, -4*p + 2*t + 6040 = 0. What is the thousands digit of p?
1
What is the tens digit of 1/(-2)*2464/(-22)?
5
Supp... | {
"pile_set_name": "DM Mathematics"
} |
= -3*c + c. What is the remainder when (5/5)/((-1)/d*3) is divided by c?
1
Suppose -5*h + 118 = 5*r - 92, 3*r - 134 = -5*h. What is the remainder when 265 is divided by r?
37
Suppose 48 = -4*w - 6*h + 188, h + 62 = 2*w. Calculate the remainder when 2205 is divided by w.
29
Suppose -2*y = -4*j + 34, 2*j - y - 3*y - 32 ... | {
"pile_set_name": "DM Mathematics"
} |
What is the l'th term of 2067, 2068, 2069, 2070, 2071, 2072?
l + 2066
What is the l'th term of -2, -2, 2, 10, 22?
2*l**2 - 6*l + 2
What is the w'th term of 170, 342, 514, 686, 858?
172*w - 2
What is the s'th term of -74, -89, -108, -131, -158, -189?
-2*s**2 - 9*s - 63
What is the b'th term of -2, 7, 0, -29, -86, -177, ... | {
"pile_set_name": "DM Mathematics"
} |
of 3028 and 3720655.
757
Calculate the highest common divisor of 7571 and 2960374.
113
What is the greatest common factor of 1746 and 21576098?
194
Calculate the highest common factor of 175 and 14858235.
35
Calculate the greatest common divisor of 4265024 and 144.
16
What is the highest common divisor of 199956130 and... | {
"pile_set_name": "DM Mathematics"
} |
ivisor of 4263 and 87116.
29
What is the highest common divisor of 53735367 and 382?
191
Calculate the greatest common factor of 455 and 44859850.
35
Calculate the highest common divisor of 222472 and 360.
8
Calculate the greatest common factor of 751781944 and 1576.
1576
Calculate the greatest common divisor of 399 an... | {
"pile_set_name": "DM Mathematics"
} |
-55 + 39. Let m = 6 - i. List the prime factors of m.
2, 11
Let t = 10 - -128. List the prime factors of t.
2, 3, 23
Suppose -2*c = -3*c. Suppose 0 = 3*l - c*l - 6. List the prime factors of l.
2
Let l = 7 - 10. Let r be (6/(-2))/l*5. Suppose -n + t + 16 = 3*n, 0 = r*n + t - 11. What are the prime factors of n?
3
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
1101111110
In base 6, what is 14410013 + -53?
14405520
In base 5, what is 410324333 - -4?
410324342
In base 15, what is 148ac42 + 7?
148ac49
In base 7, what is -1615 + -143321?
-145236
In base 6, what is 52244233 + 1412?
52250045
In base 11, what is -4 - 18462a4a?
-18462a53
In base 5, what is -31234 - 44201030?
-442323... | {
"pile_set_name": "DM Mathematics"
} |
q, 0, a in descending order.
a, 0, q
Let b = -5.6 + -34.4. Let j = b - -35. Put j, 5, -0.5 in decreasing order.
5, -0.5, j
Let b = -19.4 - -15.4. Let v(q) = q - 2. Let h be v(-3). Put 0.3, b, h, 2 in decreasing order.
2, 0.3, b, h
Let v = 52 - 51.7. Let n = -9 + 8.5. Put n, v, -0.3 in descending order.
v, -0.3, n
Let ... | {
"pile_set_name": "DM Mathematics"
} |
r(3).
-13
Let r(n) = -n**2 + 23*n + 1. Let q(a) = -4*a**2 + 55*a - 19. Let c(z) = -q(z) + 3*r(z). Calculate c(-4).
-18
Let h(c) = 2 + c**3 + 6*c - 3*c**2 + 3*c + 9*c**2 - 13*c + 6*c. What is h(-5)?
17
Let i(x) = -x**3 + 9*x**2 - 9*x + 4. Let c(n) = -53*n - 6. Let o be c(-1). Let h = o - 39. What is i(h)?
-4
Let r(h) = ... | {
"pile_set_name": "DM Mathematics"
} |
e h(n(q)).
-7*q**2 - 2
Let p(c) = 36*c**2. Let i(y) = -260453*y**2. Calculate i(p(w)).
-337547088*w**4
Let y(t) = -2*t**2. Let g(x) be the first derivative of 13*x**3/6 - 313*x + 192. Let q(h) be the first derivative of g(h). Calculate y(q(f)).
-338*f**2
Let t = -533 - -537. Let a(u) = -131*u - t + 134*u + 4. Let q(n) ... | {
"pile_set_name": "DM Mathematics"
} |
r)?
True
Suppose -7*r = 1758 + 1595. Let w = r + 557. Is w a multiple of 3?
True
Let r(v) = 274*v + 1070. Is 13 a factor of r(23)?
False
Let r(s) = -s**2 - 13*s + 10. Let u = 61 + -70. Let h be r(u). Is (-207)/h*104/(-6) a multiple of 26?
True
Let t = -511 + 228. Is (1 - t) + 9/(-3)*-1 a multiple of 41?
True
Let d be (... | {
"pile_set_name": "DM Mathematics"
} |
2
Let x be (11/1)/((-3)/(-87)). Let i = x + -228. What are the prime factors of i?
7, 13
Suppose -b + 0*b - y = -6, -4*y - 4 = 0. Suppose -b*u = -4*u. Suppose u = -4*t - 0*t + 176. List the prime factors of t.
2, 11
Let i = 2357 - 870. What are the prime factors of i?
1487
List the prime factors of (-12)/(84/35) + 1167... | {
"pile_set_name": "DM Mathematics"
} |
Let f(b) = 3*b + 15. What is f(-9)?
-12
Let o(j) = -j**2 - 10*j - 16. Calculate o(-7).
5
Let d(n) = n**2 + 4*n - 6. What is d(-6)?
6
Let n(d) = d**3 - 6*d**2 - 4*d - 8. Determine n(6).
-32
Let g(c) = -4*c - 92. Determine g(-22).
-4
Let w(u) = u**3 + 10*u**2 + 8*u - 14. Determine w(-9).
-5
Let q(p) = -2*p - 38. Give q(... | {
"pile_set_name": "DM Mathematics"
} |
nding order.
-47, -3, -2, 7
Sort -35, -2, -4, -3 in ascending order.
-35, -4, -3, -2
Sort 2/13, -0.2557, 1, -0.5, 0.5 in increasing order.
-0.5, -0.2557, 2/13, 0.5, 1
Put 1, -72, 2, -4, 0 in ascending order.
-72, -4, 0, 1, 2
Sort -5, 6.7, 0, -3/2, 4/9 in descending order.
6.7, 4/9, 0, -3/2, -5
Put 1/4, 2/7, 6/5, -1/55,... | {
"pile_set_name": "DM Mathematics"
} |
is the closest to -1/5 in 0, 3/2, 3, 0.1?
0
Which is the nearest to 0? (a) 3 (b) 342 (c) -0.1 (d) -4
c
What is the nearest to 1 in -664, -4, 5, 0?
0
What is the nearest to 0.5 in -2, 8, -1?
-1
Which is the nearest to 26/11? (a) -1/4 (b) 2 (c) -0.3 (d) -3
b
Which is the nearest to -2/5? (a) -0.111 (b) 0.2 (c)... | {
"pile_set_name": "DM Mathematics"
} |
is positive.
r**(427/6)
Simplify (v*v**(-5/6)*v**(-1/10))**(-40)/((v**1*v)/(v/(v/v**1*v*v)))**(-4/15) assuming v is positive.
v**(-28/15)
Simplify (j/j**(3/2)*j**(1/4))**(1/8)*((j*j/(j*(j/(j**(-5)/j)*j)/j)*j)/j)/j**(-5)*(j*j/j**(1/9)*j)/j**(-3/7) assuming j is positive.
j**(4609/2016)
Simplify ((n**(-2)*n)/n*(((n*n**(-... | {
"pile_set_name": "DM Mathematics"
} |
)/(-578).
-2/17
What is 537/(-1790)*(-100)/(-345)?
-2/23
-5*(-1521)/(-195) - -10
-29
(-14)/(-36) - ((-4)/(-13))/((-2340)/(-1690))
1/6
Calculate (-3 + (-53)/(-18))/(((-130)/(-60))/(-13)).
1/3
What is the value of 675/725 + 14 + 4/58?
15
What is (-2 + (-8)/(-7))/(18/84*-1)?
4
((-3)/15)/(-1)*(-760)/(-608)
1/4
(123 - 109) ... | {
"pile_set_name": "DM Mathematics"
} |
3*k + 96. Let q be c(30). Suppose d = -2*s + q, -18 + 3 = -5*s + d. Solve -5*a - o = -18, -7*o + 3*o = s*a - 4 for a.
4
Suppose -30 = 27*q + 186. Let u be q*(-4)/(7 + -3) + 2. Solve 0*l = -p + 2*l - u, -10 = 3*p - l for p.
-2
Let y(o) = o**2 - 12*o - 11. Let w be y(13). Suppose 2*u - 112 = -d - 0*d, w*u = -4*d + 106. ... | {
"pile_set_name": "DM Mathematics"
} |
t from {q: 4, t: 7}. Give prob of sequence qttq.
7/110
What is prob of sequence jd when two letters picked without replacement from dddddddddddddjddjd?
16/153
Calculate prob of sequence uu when two letters picked without replacement from {u: 4, t: 2, q: 4, j: 1}.
6/55
What is prob of sequence adhe when four letters pic... | {
"pile_set_name": "DM Mathematics"
} |
34*b + 2*h = -0*h - 6, -3 = h - 0 for b.
0
Solve i = -3*n - 9, -66*n + 3*i = -70*n - 7 for n.
-4
Solve 3152*p - 3*l + 12 = 3153*p, 0 = 2*l - 6 for p.
3
Solve 3*v + 4*o - 10 = 0, 404*o - 5 = -v + 401*o for v.
2
Solve -76836*y + 76838*y - 1 = 3*d, -5*y + 2*d - 14 = 0 for y.
-4
Solve -77*m + 87*m = 2*a - 56, 0 = 2*m - 4*... | {
"pile_set_name": "DM Mathematics"
} |
3)?
1/2
Evaluate ((-4)/(-10))/(9/5).
2/9
What is the value of 6/(-55)*1*(6 - 11)?
6/11
What is the value of 1/2 - (10 - (-253)/(-22))?
2
What is (42/(-168))/(6/32)?
-4/3
Calculate (-9*(-14)/21)/(-7).
-6/7
Calculate 48/108 + -3 + (-14)/(-9).
-1
What is the value of (3*(-12)/243)/(102/153)?
-2/9
Evaluate 426/213*(-2)/(-6... | {
"pile_set_name": "DM Mathematics"
} |
lify -4*((sqrt(91)*-5 + sqrt(91))*-5*3)/(-5*sqrt(35)/(sqrt(5) + sqrt(5)*1 + sqrt(5))).
144*sqrt(13)
Simplify ((2*-1*sqrt(152) - -3*sqrt(152)*2)/(-3*(sqrt(96) + 1*(sqrt(96) - -1*sqrt(96) - sqrt(96)))/sqrt(12)))**2.
76/9
Simplify (sqrt(504) - (sqrt(504) - sqrt(504)*-2))/sqrt(2) + ((sqrt(7) + sqrt(448)*-1)*-2)**2 - -3*(1*... | {
"pile_set_name": "DM Mathematics"
} |
1
What is next in 25, 5, -29, -77, -139, -215, -305?
-409
What is the next term in -1, -23, -53, -85, -113, -131, -133?
-113
What comes next: 1669, 1671, 1673, 1675, 1677?
1679
What comes next: -143, -143, -147, -155?
-167
What is next in 33, 77, 121, 165?
209
What is next in 25, 70, 135, 220?
325
What is the next term... | {
"pile_set_name": "DM Mathematics"
} |
.193 and 5.
-0.965
What is -0.3 times 1.024?
-0.3072
Multiply -2503 and 5.
-12515
64 times -179
-11456
Multiply -3 and -210.
630
What is 8 times -26?
-208
-27 times -1.1
29.7
Multiply 1.93 and -4.
-7.72
Work out 0.126 * -46.
-5.796
-0.108*-5
0.54
4*11
44
12 * 0.024
0.288
Multiply 1153 and 0.3.
345.9
Work out -8 * 241.
... | {
"pile_set_name": "DM Mathematics"
} |
5520*t**2
Let o(i) be the first derivative of 49*i**6/30 - 17*i**2 - 53*i - 1. Let y(z) be the first derivative of o(z). Differentiate y(c) wrt c.
196*c**3
Find the second derivative of 364*b - 1344*b**3 + 581*b + 1343*b**3 + 170*b**2 - 233*b wrt b.
-6*b + 340
Let t = 48 + -39. Differentiate -2 + 2*b**2 + 7*b - t*b**4... | {
"pile_set_name": "DM Mathematics"
} |
ams?
103475900
How many months are there in fifty-nine fifths of a century?
14160
Convert 17760.17 millennia to centuries.
177601.7
How many millilitres are there in fourty-eight fifths of a litre?
9600
What is 1/10 of a week in seconds?
60480
What is seven quarters of a tonne in kilograms?
1750
What is three tenths of... | {
"pile_set_name": "DM Mathematics"
} |
01743
Round 0.0004354392368 to five decimal places.
0.00044
Round -14894.92432 to the nearest integer.
-14895
What is -0.0051453928 rounded to six dps?
-0.005145
What is 0.4641224473 rounded to three dps?
0.464
What is -0.001825512774 rounded to four decimal places?
-0.0018
Round -0.2472822903 to 4 dps.
-0.2473
Round -... | {
"pile_set_name": "DM Mathematics"
} |
is divided by 503.
5
Calculate the remainder when 63394 is divided by 1546.
8
What is the remainder when 186259 is divided by 145?
79
What is the remainder when 20112 is divided by 6670?
102
Calculate the remainder when 1209666 is divided by 17.
14
Calculate the remainder when 170806 is divided by 1501.
1193
Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
e q + 10 = -6*w + 2*w, -5*q = -w + 8. Which is the second smallest value? (a) -0.4 (b) k (c) q
a
Let i be 2 + (-26)/16 - (-70)/(-80). What is the second biggest value in 46, i, 1/4?
1/4
Let i = -0.317 + 3.317. What is the biggest value in -2/7, i, 5/3?
i
Suppose 2*p = 5*p - 12. Suppose o + p = 7. Suppose 0 = 9*x - 2... | {
"pile_set_name": "DM Mathematics"
} |
t w(z) = -19*z**3 - z**2 - 4*z - 2. Suppose -3*m = -5*t + 283, 240 = 6*t - 2*t + m. What is the remainder when t is divided by w(-1)?
19
Let q(w) = w**2 - 2*w - 12. Calculate the remainder when q(-6) is divided by 13.
10
Let k(i) = 13*i - 4 + 7 + 7 - 3*i**2 + 2*i**2. Suppose 0*c - 20 = -2*c. What is the remainder when ... | {
"pile_set_name": "DM Mathematics"
} |
13, 0*o - 2*o - 2*g = -14. Is r(o) composite?
True
Let l(j) = 3*j**3 + 2*j**2 + j + 1. Let x be l(3). Suppose i - x = -0*i. Suppose -y + 67 = 3*s - i, 0 = 4*y - s - 641. Is y prime?
False
Let f(a) be the second derivative of a**4/12 + a**3/2 - 17*a**2/2 - 4*a. Is f(-8) composite?
False
Let z = 3 - -16. Let h = z - -66.... | {
"pile_set_name": "DM Mathematics"
} |
he j'th term of 118, 509, 1158, 2065?
129*j**2 + 4*j - 15
What is the m'th term of 469, 2017, 4583, 8155, 12721, 18269, 24787?
-2*m**3 + 521*m**2 - m - 49
What is the r'th term of 5, 49, 153, 341, 637?
4*r**3 + 6*r**2 - 2*r - 3
What is the y'th term of -240, -227, -200, -159, -104, -35, 48?
7*y**2 - 8*y - 239
What is t... | {
"pile_set_name": "DM Mathematics"
} |
lse
Does 12 divide 310489?
False
Is 25 a factor of 20421?
False
Is 410283 a multiple of 39?
False
Does 29 divide 23746?
False
Is 6311097 a multiple of 247?
True
Is 756200 a multiple of 575?
False
Is 47909 a multiple of 23?
True
Does 176 divide 6960331?
False
Is 3 a factor of 138583?
False
Is 113900 a multiple of 344?
F... | {
"pile_set_name": "DM Mathematics"
} |
Calculate the highest common divisor of k and o.
2
Let b = -38 + 40. Suppose -b*f = -3*f + 4*d + 11, 2*d + 23 = 3*f. Suppose -4*k + 39 = -45. Calculate the greatest common factor of k and f.
7
Suppose 2*u - 68 + 2 = 0. Let k = u - 18. Suppose 15 = -0*o + o. What is the highest common divisor of o and k?
15
Let m be -3 ... | {
"pile_set_name": "DM Mathematics"
} |
-4*k. Solve 0 = -v - k + 4 for v.
-1
Suppose 0 = -4*q - q + 15. Suppose 5*u - 10 = n + 2, 2*n - q = u. Solve -1 = -2*s - n for s.
-1
Let d = -10 + 14. Suppose 5*t - d*z = -9*z + 25, -2*z + 4 = -t. Suppose -5*g - 2*l = -17, 4*g = 2*l - 1 + 11. Solve 0 = g*s + t*s - 5 for s.
1
Suppose 5 = f, 2*s + 2*f = 3*s + 9. Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
litre in millilitres?
600
How many seconds are there in 29/5 of a hour?
20880
What is 165.3149mm in nanometers?
165314900
Convert 94080.73 millilitres to litres.
94.08073
How many nanoseconds are there in six fifths of a microsecond?
1200
How many months are there in 31/5 of a century?
7440
How many kilograms are ther... | {
"pile_set_name": "DM Mathematics"
} |
- 22*k + 37*k + 1 as u*k**3 + y*k + x*k**2 + d and give y.
10
Rearrange (2*t + 0*t - t)*(57 - 57 - 33*t) + (-2*t + 7*t + t)*(0*t + t + t) + t**2 - 2*t**2 + 0*t**2 to the form p*t**2 + o*t + i and give p.
-22
Express 4737 - 4737 - 25*k as o*k + f and give o.
-25
Express 5*q**3 + 0*q**3 - 3 - 3*q**3 as v*q + n*q**3 + s ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -90 = 20*r - 2*r. Determine s(r).
12
Let s(m) be the second derivative of -m**4/12 - 2*m**3/3 + m**2 + m. Let j be s(-4). Let a(f) = f + 2 + 2*f**j + f**3 + 0*f**3 + 0. Give a(-2).
0
Let y(z) = -z. Let o be y(6). Let h(n) = n**2 + 7*n + 7. Determine h(o).
1
Let h(g) be the second derivative of -1/6*g**3 - 1/12*... | {
"pile_set_name": "DM Mathematics"
} |
-1751592*u**2
What is the third derivative of 1048340*x**5 + 5*x**2 + 211975 wrt x?
62900400*x**2
What is the third derivative of 26048*t**6 + 2499*t**2 + t - 1 wrt t?
3125760*t**3
Differentiate -2*s**3 + s**2 - 240789*s - 309289 with respect to s.
-6*s**2 + 2*s - 240789
What is the derivative of -2*k**3*v + 141*k**3 ... | {
"pile_set_name": "DM Mathematics"
} |
h is the biggest value? (a) 6/11 (b) 4 (c) o
b
Let b be (2/8)/(26/16). Let l be ((-8)/20)/(6*91/210). What is the third biggest value in b, l, -1/9?
l
Let r be 0/((1 - 3)/(-2)). Let y = -369.6 - -419. Let p = -49 + y. Which is the second biggest value? (a) p (b) 1/6 (c) r
b
Let n be 40/18 + (-2)/9. Let w be n/(3/... | {
"pile_set_name": "DM Mathematics"
} |
Let h be (-35 - g)/(112/(-84)). Is 25 at most as big as h?
True
Let o = 33 + -31. Let d = o + -7. Let l be 2/((-2)/(-14) + (-88)/224). Are l and d unequal?
True
Let t be (1/4)/(19 - 1145/60). Which is smaller: 21 or t?
t
Let p be -6*(-56)/(-12) - 2. Let a = 28 + p. Let t be a*(-3 + 20/8). Are t and -1/7 unequal?
True
... | {
"pile_set_name": "DM Mathematics"
} |
omposite number?
False
Suppose w - o = 44, -3*o - 20 = o. Suppose -36*q - 2199 = -w*q. Is q a composite number?
False
Suppose 22*j - 17206 = 8*j. Is j prime?
True
Suppose -r - 5 = -2. Let n be (22*r + 4)/(-1). Suppose -2*q = -q - 3*p - n, -4*q = -2*p - 298. Is q a composite number?
True
Let k = -214 - -533. Suppose 0*h... | {
"pile_set_name": "DM Mathematics"
} |
5*p + 2*y = 284. Is p composite?
True
Let b be 12/(-16) - 35/(-20). Suppose -4*v + 41 = b. Is (-5 + v)/(3/411) a prime number?
False
Suppose -3262 = 14*c - 26936. Suppose -2*b = b - 5*l - c, 0 = -3*b + 3*l + 1683. Is b a composite number?
False
Let l(r) = -3*r**3 - r**2 + 3*r + 76. Let x(v) = -v**3 + v + 25. Let j(t) ... | {
"pile_set_name": "DM Mathematics"
} |
/x)/x*x/x**(-20/11)) assuming x is positive.
x**(-45811/1353)
Simplify o**(-5/4)/(((o*o/(o/(o/o**8)*o))/o)/o)*(o*o**9)**42 assuming o is positive.
o**(1711/4)
Simplify x**24/x**(-5/3)*x**0*x**(1/10) assuming x is positive.
x**(773/30)
Simplify ((d**(-4/7))**49)**(6/11) assuming d is positive.
d**(-168/11)
Simplify ((r*... | {
"pile_set_name": "DM Mathematics"
} |
(11). Let d = 4857 + -4852. Let i(r) = 4*r**2 + 2*r + 6. What is d*s(c) + v*i(c)?
4*c**2 + 2*c + 1
Let x(k) = 13*k**2 - 4*k + 2926. Let w(f) = 35*f**2 - 11*f + 8777. Determine -3*w(u) + 8*x(u).
-u**2 + u - 2923
Let t(d) = 2 + d**3 - 2*d**2 + 5*d - 4*d + 2*d - 5*d. Let n(v) = -9*v**2 + 1562*v - 387*v + 5*v**3 - 390*v - ... | {
"pile_set_name": "DM Mathematics"
} |
823.
125434/823
105443312 divided by 2
52721656
Divide -237587601 by 6.
-79195867/2
25104061 divided by -3
-25104061/3
Divide -1082177334 by 6.
-180362889
What is -811 divided by 15722?
-811/15722
Calculate 24 divided by 1994670.
4/332445
Calculate 3983499 divided by -4563.
-873
Calculate 10244688 divided by -6.
-17074... | {
"pile_set_name": "DM Mathematics"
} |
, -11054, -13253, -15450?
o**2 - 2210*o - 29
What is the m'th term of -7, 3, -27, -97, -207, -357?
-20*m**2 + 70*m - 57
What is the t'th term of 81062, 162125, 243188, 324251, 405314, 486377?
81063*t - 1
What is the i'th term of 543, 1119, 1773, 2499, 3291, 4143?
-i**3 + 45*i**2 + 448*i + 51
What is the g'th term of 10... | {
"pile_set_name": "DM Mathematics"
} |
5 + 0 - 2*k + 0*k**2 - 1/3*k**3 + 1/6*k**4. Give h(-3).
-3
Let b(x) = 5*x**3 - 3*x**3 + 16*x**3. Determine b(-1).
-18
Let t(g) = g**2 - 7*g + 8. Let l be (2/4)/(2/24). Let x be t(l). Let v(z) be the third derivative of z**5/60 + 2*z**2. Give v(x).
4
Let l(o) be the third derivative of -o**5/60 - 7*o**4/24 + 4*o**3/3 - ... | {
"pile_set_name": "DM Mathematics"
} |
/4, -1, -4
Let m = -5.49 + 5.89. Let d be (-2)/6 - (-28)/3. Suppose j + d = -2*j. Sort m, -0.5, j in decreasing order.
m, -0.5, j
Let x(y) = -3*y - 11. Let p be x(-2). Put p, -2, -30, 2 in descending order.
2, -2, p, -30
Let g = 25 - 26. Let x be g/(0 - (-1 + 0)). Put x, -5, 2 in descending order.
2, x, -5
Let u = 1484... | {
"pile_set_name": "DM Mathematics"
} |
Two letters picked without replacement from kkbbkikp. What is prob of sequence kb?
1/7
Three letters picked without replacement from kxxxtxtkxkkxkxxxk. Give prob of sequence txt.
3/680
Four letters picked without replacement from {w: 2, l: 9}. What is prob of sequence wlll?
7/55
Two letters picked without replacement ... | {
"pile_set_name": "DM Mathematics"
} |
6*j**2. Let y(d) = 25*d - 1. Determine l(y(t)).
16250*t**2 - 1300*t + 26
Let s(u) = -2*u. Let p(v) = -8*v**2 - 21*v. What is p(s(l))?
-32*l**2 + 42*l
Let o(m) = 2*m**2. Let a(f) = -16*f**2 - 22*f. Give a(o(n)).
-64*n**4 - 44*n**2
Let s(b) = -7*b. Let d(o) = 6*o. Let v(n) = 6*d(n) + 5*s(n). Let y(l) = -26*l**2. Calculat... | {
"pile_set_name": "DM Mathematics"
} |
rs picked without replacement from {x: 7}.
1
What is prob of sequence qt when two letters picked without replacement from eeektektkltllkkellq?
1/114
Two letters picked without replacement from {a: 1, y: 1, t: 4, c: 3, r: 1, k: 2}. Give prob of sequence ay.
1/132
Two letters picked without replacement from {c: 1, s: 1, ... | {
"pile_set_name": "DM Mathematics"
} |
3
Suppose -3*q + 23 = 4*u, 12*u - 7*u - 30 = -4*q. Factor 2/7*t**4 + 0*t + 0 + 2/7*t**u - 4/7*t**3.
2*t**2*(t - 1)**2/7
Let i(z) be the first derivative of -z**4/30 - 62*z**3/45 + z**2/15 + 62*z/15 + 538. Determine v, given that i(v) = 0.
-31, -1, 1
Factor 2*p**3 + p + 652*p**4 + 8*p**2 + 6*p + 649*p**4 - p**5 + 2 - 13... | {
"pile_set_name": "DM Mathematics"
} |
he highest common divisor of 132 and 826848.
132
Calculate the highest common factor of 352 and 7264.
32
Calculate the highest common divisor of 49 and 784.
49
Calculate the greatest common factor of 855 and 33174.
171
Calculate the greatest common factor of 178 and 701498.
178
Calculate the highest common factor of 26... | {
"pile_set_name": "DM Mathematics"
} |
ime factors of 88974?
2, 3, 4943
List the prime factors of 7480418.
2, 11, 71, 4789
What are the prime factors of 81067?
7, 37, 313
List the prime factors of 1117777.
23, 2113
What are the prime factors of 894193?
894193
List the prime factors of 1059391.
43, 71, 347
What are the prime factors of 8879759?
7, 1268537
Wh... | {
"pile_set_name": "DM Mathematics"
} |
ide 157961 by -6.
-157961/6
Calculate 43344 divided by 5.
43344/5
Calculate 54572 divided by 4.
13643
-82836 divided by 4602
-18
Calculate 2862532 divided by -715633.
-4
What is 8749 divided by -2?
-8749/2
Calculate 1151540 divided by -4.
-287885
What is 0 divided by 51900?
0
Divide 89 by 3075.
89/3075
What is 401354 d... | {
"pile_set_name": "DM Mathematics"
} |
ive of 364928*c + 72618?
364928
What is the second derivative of -65519*r**5 - 59180*r wrt r?
-1310380*r**3
What is the second derivative of -2714654*r**3 - 322374*r + 1 wrt r?
-16287924*r
What is the first derivative of 11*n**2 - 18142*n - 607223?
22*n - 18142
Find the third derivative of 390560*u**3 + 34*u**2 - 33*u ... | {
"pile_set_name": "DM Mathematics"
} |
ch is greater: j or 0.13?
0.13
Let m be (-2)/(-3) - 190/15. Let b be 4/m - 1/(-3). Which is bigger: b or -2/13?
b
Suppose 4*m + 108 = -148. Let p = m - -255/4. Is p > 3?
False
Let n = -22 - 34. Is -55 >= n?
True
Let y = 144 + -72. Let k = -790/11 + y. Is k < -1?
False
Suppose -2*j = -7*j - 5*v - 175, 97 = -3*j + 5*v. I... | {
"pile_set_name": "DM Mathematics"
} |
-h*z + 12*z = 10. Solve 8 = 4*j - z*j for j.
4
Let m be (-266)/(-63) + 4/(-18). Suppose -10 = -m*j + 6. Suppose -d - 5*p - 16 = -2, -d = -2*p - 14. Solve -5*o + d = -j for o.
2
Let b = 89 + -22. Solve -b + 87 = -5*h for h.
-4
Let c = -34 - -35. Suppose 5*z + 2*f - 25 + 9 = 0, 5*z - 3*f = c. Solve 0 = -6*w + z*w for w.
... | {
"pile_set_name": "DM Mathematics"
} |
u be m(0). Let x(t) = t**3 + 2*t - 90. Give x(u).
-90
Suppose -7*x = 566 + 4348. Let v = 704 + x. Let w(i) = 4*i - 2. Let r(f) = 4*f - 2. Let t(b) = 3*r(b) - 4*w(b). What is t(v)?
-6
Suppose -24*c = -19*c + 1420. Let d = c - -281. Let w(a) = 4*a**2 + 3*a - 4. Give w(d).
23
Let l(f) = -2*f**2 + 24*f - 29. Let u be 6 + 1... | {
"pile_set_name": "DM Mathematics"
} |
What is the nearest to x in 5, o, 0.4?
0.4
Let n = -48 + 49. What is the nearest to n in -1, 0.3, 1, -3/4?
1
Let o be ((-1)/(-4))/(3/4). Let d = 1/1499 + 1495/5996. Which is the nearest to o? (a) 0.3 (b) 3 (c) d
a
Let t = 568.1 + -567.7. Let z = -0.2 - -0.4. What is the closest to -0.1 in t, z, -1/3?
-1/3
Let t = -... | {
"pile_set_name": "DM Mathematics"
} |
3955836 and 12?
4
Calculate the highest common factor of 1475318537 and 22.
11
Calculate the greatest common divisor of 333450 and 244998.
702
What is the highest common factor of 554775 and 351?
39
Calculate the highest common divisor of 22311331 and 2933.
2933
Calculate the highest common divisor of 230 and 23597310.... | {
"pile_set_name": "DM Mathematics"
} |
+ f. What is the closest to m in 1, -0.4, 1/3?
-0.4
Let q(i) = 2*i**3 + 16*i**2 + i + 4. Let w = 1 - 9. Let u be q(w). Which is the closest to 0.1? (a) u (b) 1 (c) 2/11
c
Suppose 0 = -2*f + f + 3. Suppose 73*o = 70*o + f. Let i = 1/21 + -47/105. What is the nearest to o in -0.1, i, 1/7?
1/7
Let t = 45813.91 - 46206... | {
"pile_set_name": "DM Mathematics"
} |
t/(t*t**(-3)*t*t)) assuming t is positive.
t**(-45/2)
Simplify ((c**4*(c**(-5/3)*c)/c)/(c**(-1/4)*c*c*c**(2/7)))**(-28/5) assuming c is positive.
c**(-5/3)
Simplify (y*((y**5/y*y)/y)/y*y)**(3/13)/(y**5)**(10/17) assuming y is positive.
y**(-395/221)
Simplify z**(8/9)*z*z**(-14)*(z/z**(-24))/z*z/(z*(z*z**(5/6))/z)*z ass... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*x**3)*(0*x + 3*x - 2*x).
-6*x**4
Expand (-4 - 2*p**3 + 4)*(-3*p - p + 2*p) + 3 - 2*p**4 - 3 + (p**4 + 2 - 2)*(-1 + 3 - 4) + p**4 + 0*p**4 - 2*p**4 + 11*p**4 - 10*p**4 - 12*p**4.
-12*p**4
Expand (2*w**3 - 4*w**3 + w**3 + 2*w)*(5*w + 3*w - 4*w).
-4*w**4 + 8*w**2
Expand (3 - 2 - 2)*(2*i + 0 + 0 + 3*i + 0*i - 2*i + (-... | {
"pile_set_name": "DM Mathematics"
} |
(b) 2/5 (c) 0.179 (d) 1/5 (e) 0 (f) 4
e
What is the closest to 1 in 13, -0.102, -2/11, 0, 138?
0
Which is the closest to 0? (a) -3 (b) 4 (c) -13 (d) -0.04 (e) -284 (f) 1/7
d
Which is the nearest to 1.461? (a) 4/9 (b) -0.735 (c) 0.5
c
Which is the closest to -0.1? (a) -15 (b) 1 (c) -11944/21 (d) -1
d
Wh... | {
"pile_set_name": "DM Mathematics"
} |
r + 2*r**2. Let u be -2 + 15 + -1 + 1. Let s(k) = -u + 13 - 21*k. Determine s(v(o)).
-42*o**2
Let z(a) = -3*a - 4. Let m(p) = -4*p - 5. Let l(k) = -2*m(k) + 3*z(k). Let b(t) = t + 1. Let u(q) = 2*b(q) + l(q). Let j(s) = -21*s**2. Give u(j(w)).
-21*w**2
Let s(w) = 41*w**2 - w + 6. Let p(n) = 2*n - 11. Calculate s(p(j)).... | {
"pile_set_name": "DM Mathematics"
} |
be (-5)/r + 9/(-5). Which is the closest to z? (a) 1/9 (b) 2/17 (c) -2/11
c
Let j = 0.13 + 0.17. Let z = 5.2 + -1.2. Which is the closest to 1? (a) z (b) -1 (c) j
c
Let c = 0.19 - -0.01. Let k = c - -0.2. Suppose l = a - 6, -22 = 3*a + 6*l - l. What is the nearest to a in -4, k, 2/9?
k
Let z = 1.48 + 0.22. Let g ... | {
"pile_set_name": "DM Mathematics"
} |
16 = 0 for g.
-4
Solve -4*d + 0 = 16 for d.
-4
Solve 7*i + 18 - 4 = 0 for i.
-2
Solve 0 = -37*q + 42*q for q.
0
Solve -36*i - 46 = 26 for i.
-2
Solve 27*o - 20 = 31*o for o.
-5
Solve 0 = 53*o + 266 + 105 for o.
-7
Solve -2 = -7*k - 9 for k.
-1
Solve 2*l - 7 = -7 for l.
0
Solve 275 - 267 = 4*q for q.
2
Solve -47*s = -3... | {
"pile_set_name": "DM Mathematics"
} |
m - 602158, m - 602174 = -2*y. Is y composite?
True
Let b(r) be the second derivative of 11*r**4/6 + 19*r**3/3 + 73*r**2 + 3*r + 1. Is b(-24) a prime number?
False
Let t(a) be the first derivative of 169*a**2/2 + 310*a + 75. Is t(15) composite?
True
Let i(z) = z**2 - 23*z + 43. Let t be i(21). Let j(a) = 6*a - 2. Let y... | {
"pile_set_name": "DM Mathematics"
} |
ing 1 i, 1 j, and 1 m when three letters picked without replacement from {y: 2, j: 3, c: 3, z: 4, m: 6, i: 1}?
6/323
Four letters picked without replacement from {m: 1, z: 6, e: 1, n: 4, t: 3, v: 3}. What is prob of picking 2 z, 1 m, and 1 n?
1/51
Calculate prob of picking 1 i, 1 g, and 1 u when three letters picked wi... | {
"pile_set_name": "DM Mathematics"
} |
**(-3/2))/(r*r**(-5)))/((((r*r**(-3/5)*r)/r)/r)/(r*r/((r*r**(-6))/r))) assuming r is positive.
r**(121/10)
Simplify (k*(k**(-13)/k)/k)/(k*k**(-17)*k*k*k*k*k) assuming k is positive.
k**(-3)
Simplify (t/t**(-5)*t/t**(-1/9))/(t*t**(2/7)*t**1/t*t) assuming t is positive.
t**(304/63)
Simplify (d**(1/6)*d*d**(-7/5))/(d/(d**... | {
"pile_set_name": "DM Mathematics"
} |
, w*j - 2*k = -x for j.
-5
Let t(u) = -u**3 + 10*u**2 - 23*u + 59. Let v be t(8). Solve 0 = -5*p + v*i + i + 23, -3*p + 15 = -3*i for p.
3
Let h = 138 - 128. Let t(w) = -w + 38. Let m be t(h). Let q(u) = -2*u - 2. Let z be q(-3). Solve -5*j + 0*y = -y - 16, 3*y = -z*j + m for j.
4
Suppose 3*t + 57 = 5*v, -3*v = 5*t - 1... | {
"pile_set_name": "DM Mathematics"
} |
t(w))?
-27*w
Let j(r) = -2*r + 20*r + 12*r + 19*r + 55*r - 7*r. Let k(p) = p + 4. Let a(l) = 1. Let t(z) = -4*a(z) + k(z). Determine t(j(s)).
97*s
Let w(a) = 8*a**2. Let v(h) = -117 + 89 - 6*h + 28. Calculate w(v(g)).
288*g**2
Let s(t) = 1877300*t. Let g(l) = 3*l**2. What is g(s(f))?
10572765870000*f**2
Let r(i) = 832*... | {
"pile_set_name": "DM Mathematics"
} |
2, -2*x - t = -533. List the prime factors of x.
2, 3, 11
Let h = -32 + 34. What are the prime factors of h/(-4) - 1710/(-36)?
47
Suppose -25 = 5*g, 2*l - 7 = 6*l + 3*g. Suppose -4*o - k + 39 = -0*o, 24 = l*o - 4*k. List the prime factors of -3 + (2 + -1)*o.
7
Let l(u) = -u**2 - 13*u + 8. Let m be l(-7). Let o be 8/36 ... | {
"pile_set_name": "DM Mathematics"
} |
+ v. Is p a prime number?
True
Is (-262108)/(-16) + 18/(-24)*1 a prime number?
True
Let p be (10/(-4) + 2)*(346 + -2). Let l = p - -299. Is l prime?
True
Let c = -278 - -523. Suppose 0*v - v = 0. Suppose 2*t = -7*g + 3*g + 944, g + 5*t - c = v. Is g prime?
False
Suppose -18*v + 68950 = -8*v. Suppose v = 11*g - 4*g. Is... | {
"pile_set_name": "DM Mathematics"
} |
ime factors of 550946167.
31, 17772457
What are the prime factors of 189556376?
2, 23694547
List the prime factors of 93792401.
47, 1995583
List the prime factors of 1855083671.
7, 173, 1531861
What are the prime factors of 88165889?
7, 12595127
List the prime factors of 133223847.
3, 43, 193, 5351
List the prime facto... | {
"pile_set_name": "DM Mathematics"
} |
3 - 36. What is a(6)?
-6
Let u(x) = 0 + 1 + 3 - 2*x. Let k(w) = -3*w**3 + 108*w**2 + 229*w + 7. Let s be k(-2). Determine u(s).
-6
Let d(u) be the third derivative of -1/24*u**4 + 7*u**2 + 0*u + 0 - 5/6*u**3. Suppose 0 = 2*n + 2*n + 24. Determine d(n).
1
Let f(x) be the second derivative of -x**3/3 - 95*x**2/2 + 94*x -... | {
"pile_set_name": "DM Mathematics"
} |
ming m is positive.
m**(-806/21)
Simplify ((o*o**(-1/7))/o**(-15))/(o**(-1/15)/(o**12/o)) assuming o is positive.
o**(2827/105)
Simplify (((x**(-7)*x)/x*x*x**(2/23)*x)**21)**(-44) assuming x is positive.
x**(104412/23)
Simplify v*(v*v**(4/3))/v*v*v*(v**16/v)/v*v*(v*v**16*v)/(v**(-4)/v) assuming v is positive.
v**(127/3... | {
"pile_set_name": "DM Mathematics"
} |
-2*r. Does 17 divide 2 - (j - -3 - 113)?
False
Suppose 15*l = 14*l - z + 2, 3*l - 4*z = 13. Suppose 0 = 5*c - l*k - 1122 - 178, 5*c - 1300 = 2*k. Is c a multiple of 10?
True
Suppose 35*j = 299118 - 71828. Does 44 divide j?
False
Let y be ((-3)/(-4))/(1/(-180)). Does 29 divide (-2)/(-6) + (-62595)/y?
True
Let s be (-21... | {
"pile_set_name": "DM Mathematics"
} |
4059?
False
Is -4468 greater than or equal to 69767?
False
Which is smaller: -2187486 or -4374973/2?
-4374973/2
Which is smaller: 0 or 9/4534520?
0
Which is bigger: 0 or -1/89533730?
0
Which is greater: -576624 or 146/7?
146/7
Is 178078 <= 1352?
False
Which is smaller: 700/892443 or -1?
-1
Is 914743/10 at most as big a... | {
"pile_set_name": "DM Mathematics"
} |
z**3 - 6*z**2 - 8*z + 27. Let p(j) = 2*a(j) - 11*d(j). Let s be p(6). Solve 4*f - s = -31 for f.
-5
Let w = -15577 - -15581. Let v = -3 + 9. Suppose 5*n - v = -5*h + n, 4*h + 4*n = 4. Solve -10 - h = w*d for d.
-3
Let o be ((-3538)/305)/((-2)/5). Solve -o*j - 15 = 188 for j.
-7
Let k(v) be the third derivative of v**5/... | {
"pile_set_name": "DM Mathematics"
} |
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