text stringlengths 270 8.19k | meta dict |
|---|---|
*2 = 0 for o.
-1/4, 0
Let j = -191 - -191. Let r(x) be the third derivative of -1/90*x**5 + 0 + 2/9*x**3 - 1/36*x**4 + j*x - 2*x**2. Determine p so that r(p) = 0.
-2, 1
Let y(c) be the second derivative of -c**7/21 - 2*c**6/9 - 13*c**5/90 + 10*c**4/27 - 4*c**3/27 + 19*c. Factor y(b).
-2*b*(b + 2)**2*(3*b - 1)**2/9
Let ... | {
"pile_set_name": "DM Mathematics"
} |
he prime factors of r?
3
Suppose -3*w + 16 = w. Suppose -d - 9 = -w*d. List the prime factors of d.
3
Let y = -31 + 156. List the prime factors of y.
5
Suppose 3*n = q - 6*q + 569, -5*q + 767 = 4*n. What are the prime factors of n?
2, 3, 11
Let s(j) = 26*j**2 + 6*j - 5. What are the prime factors of s(3)?
13, 19
Let w ... | {
"pile_set_name": "DM Mathematics"
} |
4636*n**2 - 152796*n - 458496 = 0?
-3, -2, 2, 12736
Factor -3*d**3 + 564*d**2 - 6432*d + 16896.
-3*(d - 176)*(d - 8)*(d - 4)
Factor 4*t**5 - 31088*t**4 + 80340792*t**3 - 68523195440*t**2 - 1331157493148*t.
4*t*(t - 2597)**3*(t + 19)
Factor q**5/5 + 214*q**4/5 + 14257*q**3/5 + 303372*q**2/5.
q**2*(q + 53)**2*(q + 108)/5... | {
"pile_set_name": "DM Mathematics"
} |
st common factor of 557681446 and 196?
98
Calculate the highest common factor of 166842 and 3302616.
4278
Calculate the greatest common factor of 32 and 129587664.
16
What is the highest common factor of 3291 and 111458491?
1097
What is the highest common divisor of 19825444 and 1385?
277
What is the highest common fac... | {
"pile_set_name": "DM Mathematics"
} |
4 - q. Put 4, n, -2 in descending order.
4, -2, n
Suppose 0 = 6*d - 0*d. Put -1, 1, d, -2 in ascending order.
-2, -1, d, 1
Let u(k) = k**3 - 9*k**2 + 7*k + 10. Suppose 0 = 2*v - 11 - 5. Let b be u(v). Sort b, -5, 5.
-5, b, 5
Let f = 1.7 + -1.6. Put -4/7, 4, f in decreasing order.
4, f, -4/7
Suppose -24 = -4*n - 4*o - ... | {
"pile_set_name": "DM Mathematics"
} |
: 1, e: 2, y: 1}?
1/6
What is prob of picking 2 q, 1 x, and 1 o when four letters picked without replacement from {x: 1, o: 5, d: 1, q: 11, n: 2}?
55/969
Calculate prob of picking 1 p, 1 i, and 1 h when three letters picked without replacement from {w: 2, p: 2, h: 1, i: 1, s: 3, b: 3}.
1/110
Four letters picked without... | {
"pile_set_name": "DM Mathematics"
} |
*i + 4*u + 7 for i.
3
Let f be ((-21)/63)/((-2)/(-12)). Let p(z) = z**3 + 2*z**2 - 2*z - 2. Let k be p(f). Suppose -t + k = -3. Solve t*v + 24 = l, -3*v = -2*l - 6*v - 17 for l.
-1
Suppose 5*n - 17 = -7. Let m(z) = -11*z**n - 15*z + 8*z**2 + 17 - 10*z**2 + z**3. Let r be m(14). Solve -r*s + 12 = 4*v, 5*s + 7*v - 4*v - ... | {
"pile_set_name": "DM Mathematics"
} |
2)/((192/40)/4*(-15)/(-24))
5/9
Calculate (-680)/(-100)*1335/(-178).
-51
Evaluate (3/(-90)*4/(-6))/(((-66619)/434)/(-307)).
2/45
What is the value of ((-16)/54)/((-1100)/450)?
4/33
Evaluate (4355/(-310076))/((-10)/(-16)).
-2/89
What is the value of (((-440)/(-150))/22)/(((-19278)/(-105))/17)?
1/81
What is 7222/157*((-5... | {
"pile_set_name": "DM Mathematics"
} |
ermine f(-12).
11
Let u(a) be the first derivative of -3*a**2/2 + 51*a + 662. Calculate u(13).
12
Let f(v) = 981*v**2 - v**3 - 503*v**2 - 475*v**2 + v. Let i be (1 + 1/2)*2. Calculate f(i).
3
Let h(o) = -2*o**3 - 12*o**2 + 5*o + 10. Let z(w) = -w**3 - 13*w**2 + 7*w + 9. Let q(d) = 2*h(d) - 3*z(d). Determine q(14).
35
L... | {
"pile_set_name": "DM Mathematics"
} |
3 - 2023*n**2 + 2023*n. Let u(a) = 4034*a**3 - 6*a**2 + 6*a. Calculate -6*b(d) + 2023*u(d).
4046*d**3
Let g(x) be the first derivative of 0*x - 5/3*x**3 - 5/2*x**2 - 33. Let q(v) = v - 2. Let l(w) = -2*w + 3. Let a(n) = -2*l(n) - 3*q(n). What is -5*a(d) - g(d)?
5*d**2
Suppose -61 = -32*d + 3. Let o = -4 + 7. Let j(w) =... | {
"pile_set_name": "DM Mathematics"
} |
25 or 4034303?
4034303
Is -3 at most as big as 172.61886?
True
Is 5537 equal to 1608?
False
Which is smaller: 3858412 or 3858405?
3858405
Is -46617470 greater than or equal to -46617470?
True
Which is greater: 0.0738 or -51299?
0.0738
Which is smaller: -13020229 or -13020232?
-13020232
Is -521/782354 != 0?
True
Are 139... | {
"pile_set_name": "DM Mathematics"
} |
-7*2/(-1))/(5*34/(-51)).
-21/5
Evaluate (40 + 17367/(-420))/(3/5).
-9/4
2764/132 + (-61)/((-18117)/18)
21
Calculate (12/156*780/72)/((-1)/(-6)).
5
What is 4*(4/(-5) - 8910/(-2200))?
13
Evaluate (39 - 18) + (-1 - -4)*-2.
15
What is the value of 27/2 + 145/(725/(-60))?
3/2
What is the value of (-260 - -258)*38/4?
-19
Wha... | {
"pile_set_name": "DM Mathematics"
} |
ert 49697.307 seconds to days.
0.5752003125
What is 28.2559 millennia in decades?
2825.59
How many nanograms are there in 235220.2mg?
235220200000
How many millimeters are there in thirteen quarters of a meter?
3250
How many years are there in 1/10 of a millennium?
100
How many seconds are there in three fifths of a da... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*o + 359
What is the b'th term of 33, 16, -21, -84, -179, -312, -489, -716?
-b**3 - 4*b**2 + 2*b + 36
What is the o'th term of -166, -311, -454, -595, -734, -871?
o**2 - 148*o - 19
What is the o'th term of 49, 68, 107, 172, 269, 404, 583, 812?
o**3 + 4*o**2 + 44
What is the y'th term of 1479, 1499, 1553, 1659, 1835,... | {
"pile_set_name": "DM Mathematics"
} |
t is the smallest common multiple of b and 153?
1530
Suppose -49 - 41 = -18*m. Suppose m*y + 21 = 41, 0 = -4*z - y + 16. Calculate the lowest common multiple of (3/(-6))/((-1)/30) and z.
15
Suppose 0 = -d + 2*b + 36, 3*d = 8*d + 5*b - 120. Suppose -109*j = -115*j + 474. Let i = j - 76. Calculate the smallest common mul... | {
"pile_set_name": "DM Mathematics"
} |
+ 123 wrt o?
-1993956*o**2 - 2
What is the third derivative of -120866*r**4 + 4*r**2 - 2*r + 5025?
-2900784*r
Differentiate -454577*n*r + 248193*r with respect to n.
-454577*r
What is the second derivative of -14*r**2*y**3 + 2*r**2*y**2 + 51639*r**2*y + 156*r*y**2 wrt y?
-84*r**2*y + 4*r**2 + 312*r
Find the second deri... | {
"pile_set_name": "DM Mathematics"
} |
en 1170 is divided by 56?
50
What is the remainder when 234 is divided by 19?
6
What is the remainder when 94 is divided by 25?
19
What is the remainder when 1180 is divided by 119?
109
Calculate the remainder when 280 is divided by 83.
31
Calculate the remainder when 475 is divided by 5.
0
What is the remainder when 1... | {
"pile_set_name": "DM Mathematics"
} |
?
2, 3, 13, 139
What are the prime factors of 2619?
3, 97
What are the prime factors of 1047?
3, 349
List the prime factors of 12389.
13, 953
List the prime factors of 639.
3, 71
What are the prime factors of 9275?
5, 7, 53
What are the prime factors of 3942?
2, 3, 73
List the prime factors of 2075.
5, 83
List the prim... | {
"pile_set_name": "DM Mathematics"
} |
ithout replacement from lbslbbzzbjjbbzslsbzj. Give prob of picking 2 l and 1 j.
3/380
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {n: 1, y: 2, t: 1, w: 2}.
2/15
Two letters picked without replacement from {m: 13, j: 6}. What is prob of picking 1 m and 1 j?
26/57
What is prob o... | {
"pile_set_name": "DM Mathematics"
} |
of sequence ete when three letters picked without replacement from {e: 2, t: 2}.
1/6
Calculate prob of sequence rca when three letters picked without replacement from oofocfccfforka.
1/728
What is prob of sequence gf when two letters picked without replacement from ommofgoooogofgpofoo?
1/38
Two letters picked without r... | {
"pile_set_name": "DM Mathematics"
} |
es.
0.00011
What is -1352.549 rounded to 0 dps?
-1353
What is -12256.02 rounded to the nearest one hundred?
-12300
Round -1.0444046 to two dps.
-1.04
What is 1.9024993 rounded to zero decimal places?
2
Round 0.002259027 to six dps.
0.002259
Round -12690.426 to the nearest 10.
-12690
What is -7944.8 rounded to the neare... | {
"pile_set_name": "DM Mathematics"
} |
.
-30246*q**2
Let j(q) = 2*q**2 - 15470*q. Let r(k) = 2*k + 246. Calculate r(j(b)).
4*b**2 - 30940*b + 246
Let y(a) = 836*a**2 + 3*a + 5. Let r be y(-5). Let s(l) = -16*l**2 - r*l + 20890*l. Let f(p) = -p. What is s(f(j))?
-16*j**2
Let m(c) = c**2. Let t(o) = 29*o**2 + 82 - 8*o**2 - 85 + 68*o**2. Let u(b) = 22*b**2 - 1... | {
"pile_set_name": "DM Mathematics"
} |
7
Calculate prob of picking 1 c, 1 t, and 2 b when four letters picked without replacement from {t: 3, o: 1, s: 3, b: 3, p: 2, c: 1}.
9/715
Three letters picked without replacement from {y: 1, i: 3, f: 1, d: 3, e: 2, o: 9}. What is prob of picking 1 y, 1 f, and 1 d?
1/323
What is prob of picking 1 t and 1 v when two le... | {
"pile_set_name": "DM Mathematics"
} |
lify -3*2*sqrt(396) - (1*(sqrt(33)/sqrt(3))**2 + 1).
-36*sqrt(11) - 12
Simplify 2 + (sqrt(132) - (-6*(sqrt(132) - 2*sqrt(132)) - sqrt(132) - sqrt(132)) - sqrt(132))/sqrt(12) + 2 + sqrt(11)*-1*-5.
sqrt(11) + 4
Simplify (sqrt(704) + 0 + -1 + sqrt(704))*3 + 1*(-2 + (sqrt(704) - -1*sqrt(704))).
-5 + 64*sqrt(11)
Simplify sq... | {
"pile_set_name": "DM Mathematics"
} |
rob of picking 1 w and 1 j.
4/33
Two letters picked without replacement from {d: 10}. What is prob of picking 2 d?
1
Two letters picked without replacement from {p: 1, e: 3, q: 2, g: 2, m: 1, z: 3}. What is prob of picking 2 e?
1/22
Calculate prob of picking 1 x, 2 y, and 1 m when four letters picked without replacemen... | {
"pile_set_name": "DM Mathematics"
} |
sequence au.
5/21
Two letters picked without replacement from {t: 2, r: 4, x: 4}. What is prob of sequence rr?
2/15
Three letters picked without replacement from {w: 1, q: 7, s: 9, h: 2}. Give prob of sequence hwq.
7/2907
Three letters picked without replacement from {w: 5, h: 3}. Give prob of sequence www.
5/28
Calcu... | {
"pile_set_name": "DM Mathematics"
} |
s picked without replacement from eeeeeeemeememeer?
3/560
What is prob of picking 1 z and 3 m when four letters picked without replacement from nnmnnmtynnnnzzzmmtz?
4/969
What is prob of picking 4 v when four letters picked without replacement from {t: 2, u: 4, v: 7}?
7/143
Calculate prob of picking 1 s and 2 n when th... | {
"pile_set_name": "DM Mathematics"
} |
3. Let s be j(-12). Let x be (-6)/(-10) + s/60. Let d = x - -443/28. Which is the nearest to -2/7? (a) 1/4 (b) d (c) -0.2
c
Let x = -11 + 14. Suppose 6*t - 3*t + x = 0. Let o = -30.4 - -30. Which is the nearest to -1/2? (a) o (b) -3 (c) t
a
Suppose -4*d - w = 3, -2*d + 6*d + 5*w - 1 = 0. What is the nearest to d... | {
"pile_set_name": "DM Mathematics"
} |
*w + 1094. Let k be 30/(-9)*w/(-25). Let f(j) = -124 + 4*j**2 + k. Let g(q) = -4*q**2. Give f(g(s)).
64*s**4
Let p(t) = 19*t. Let u(h) = h**2 + 7*h**2 - 6*h**2. Determine p(u(q)).
38*q**2
Let r(v) = -v**2. Let x(i) be the second derivative of -70*i**4/3 - 341*i. What is x(r(u))?
-280*u**4
Let h(p) = p**2. Suppose -42 =... | {
"pile_set_name": "DM Mathematics"
} |
nd w, given that w**2 - 2222*w + 1234321 = 0.
1111
Factor 2*r**4/9 - 2*r**2/9.
2*r**2*(r - 1)*(r + 1)/9
Factor -3*o**3 + 339*o**2 - 10368*o + 43740.
-3*(o - 54)**2*(o - 5)
Suppose -5*m**5 - 45*m**4 - 100*m**3 + 80*m**2 + 480*m + 400 = 0. What is m?
-5, -2, 2
Factor -4*w**3 - 8*w**2 + 36*w + 72.
-4*(w - 3)*(w + 2)*(w + ... | {
"pile_set_name": "DM Mathematics"
} |
vert 306083.3 decades to millennia.
3060.833
Convert 701.2167 micrometers to centimeters.
0.07012167
How many grams are there in eleven halves of a kilogram?
5500
How many millilitres are there in 3/5 of a litre?
600
What is 0.4585076 micrometers in meters?
0.0000004585076
Convert 95964.79cm to meters.
959.6479
What is... | {
"pile_set_name": "DM Mathematics"
} |
ppose -d*c = 3*s - 17486, 0 = -4*s + 5*c + 16999 + 6357. Is s a prime number?
False
Suppose -3709349 = -44*c + 14194383. Is c prime?
False
Let c(w) = -w - 1. Let o(b) = -197*b + 86. Let a(q) = 4*c(q) + o(q). Is a(-11) a prime number?
True
Let o(f) = -4523*f**2 + 8*f - 23. Let a(l) = -1508*l**2 + 3*l - 8. Let s(m) = 11*... | {
"pile_set_name": "DM Mathematics"
} |
y 2345?
175
Calculate the remainder when 222221 is divided by 88.
21
What is the remainder when 6549168 is divided by 1209?
15
Calculate the remainder when 116686 is divided by 29148.
94
Calculate the remainder when 43086966 is divided by 5040.
6
Calculate the remainder when 18358 is divided by 16819.
1539
Calculate th... | {
"pile_set_name": "DM Mathematics"
} |
rst derivative of -7*d*g*k**3 + 3814*d*g*k + 74*d*k**3 - g*k**3 - g*k**2 - 71*g*k - 869*k**3 + 2*k**2 + 1 wrt d?
-7*g*k**3 + 3814*g*k + 74*k**3
What is the derivative of 124*k**3 + 59459*k**2 - 2*k - 5858466?
372*k**2 + 118918*k - 2
Find the third derivative of 53892761*x**4 - 33476807*x**2 wrt x.
1293426264*x
What is ... | {
"pile_set_name": "DM Mathematics"
} |
(-3 - (-2 + 1))
1
Evaluate 4 + -5 - (-2 + 1) - 2.
-2
What is the value of (-1 - -3) + -13 + 5 + 10?
4
-12 - (-26 - -2) - 2
10
Evaluate (-3 + -2 - -8) + 0.
3
0 + -3 + -4 + 9
2
Calculate 15 + (-8 - -6) + -7.
6
Evaluate -14 + (7 + -1 - (14 - 14)).
-8
Evaluate 3 - (7 - -8) - -9.
-3
What is the value of 14 + -6 - (16 + -6)?... | {
"pile_set_name": "DM Mathematics"
} |
: -490/151 or -2?
-2
Is 390 less than or equal to 389?
False
Which is bigger: 1 or 3/910?
1
Which is bigger: -1 or -2/48821?
-2/48821
Are -485 and -496 non-equal?
True
Is -1 < 8/2053?
True
Which is smaller: 0.9 or -399?
-399
Which is greater: 31 or -0.4?
31
Which is smaller: -1 or 34/351?
-1
Which is smaller: 1/285 or ... | {
"pile_set_name": "DM Mathematics"
} |
est integer?
2716
What is the square root of 13744828 to the nearest integer?
3707
What is 394577 to the power of 1/6, to the nearest integer?
9
What is the square root of 7184919 to the nearest integer?
2680
What is the third root of 3432946 to the nearest integer?
151
What is the cube root of 3999913 to the nearest i... | {
"pile_set_name": "DM Mathematics"
} |
What is the units digit of 4600008544?
4
What is the hundred thousands digit of 207672983?
6
What is the ten thousands digit of 47593148?
9
What is the ten thousands digit of 59155078?
5
What is the ten millions digit of 109802509?
0
What is the hundred millions digit of 2101713913?
1
What is the tens digit of 1926499... | {
"pile_set_name": "DM Mathematics"
} |
v**2 + c*v**4 + m*v + t + h*v**3 and give m.
-1
Express s**3 + 3 - 10*s**3 + 4*s**2 + 3*s**2 - s**2 + 8*s**3 as m*s + c + k*s**2 + u*s**3 and give u.
-1
Express 2 - 70088*d**2 + 1 + 70136*d**2 as t*d + j*d**2 + p and give p.
3
Express (405 + 4049 - 1178)*(3*r - 5*r + r + 4*r - 2*r - 4*r + (2 + 0 - 1)*(3*r + 2*r - 7*r) ... | {
"pile_set_name": "DM Mathematics"
} |
are there between 9:27 AM and 5:51 PM?
504
What is 373 minutes after 11:42 PM?
5:55 AM
How many minutes are there between 9:08 PM and 7:18 AM?
610
What is 599 minutes before 2:52 PM?
4:53 AM
What is 10 minutes after 8:18 PM?
8:28 PM
What is 9 minutes before 12:01 AM?
11:52 PM
What is 115 minutes before 9:08 AM?
7:13 AM... | {
"pile_set_name": "DM Mathematics"
} |
25454
What is 16719430 divided by -1286110?
-13
What is 431 divided by -58581?
-431/58581
What is 3965460 divided by -396546?
-10
Calculate 315488118 divided by 318.
992101
Divide 40 by 1081828.
10/270457
Divide 20 by -9626915.
-4/1925383
Divide -105966686 by -398371.
266
172414543 divided by 172414543
1
237 divided by... | {
"pile_set_name": "DM Mathematics"
} |
38/5)
Simplify (y**(2/5))**35/((y/y**(-2/3))/y)**(2/15) assuming y is positive.
y**(626/45)
Simplify (m/m**(2/7))**(8/9) assuming m is positive.
m**(40/63)
Simplify (k*k**(-1/4)*k)/(k**(-5)/k*k)*((k**(-1/4)/k*k)/k*k)/k*k*k**(-1/2) assuming k is positive.
k**6
Simplify ((z**(-2)*z)/(z/(z**8*z)))**(-30) assuming z is pos... | {
"pile_set_name": "DM Mathematics"
} |
4716*b**2?
-16728*b - 1227618
Find the third derivative of 33710896*u**3 + 2*u**2 + 3852570 wrt u.
202265376
Find the third derivative of -44771584*g**4 - 4*g**2 + 18*g + 102637 wrt g.
-1074518016*g
Find the third derivative of 510*b**6*h**3 - 1195*b**3*h**3 - 46*b**2*h**3 - 2*h**3 - 561*h wrt b.
61200*b**3*h**3 - 7170... | {
"pile_set_name": "DM Mathematics"
} |
two letters picked without replacement from fjjfefaecefdca?
4/91
What is prob of sequence xj when two letters picked without replacement from aiaxamhjamixajajhm?
1/51
Calculate prob of sequence hhmh when four letters picked without replacement from hdhxdmhdihhmu.
1/143
Calculate prob of sequence xzo when three letters ... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*u - 6*u) + 5*u - 5*u + 2*u + (-3 + 4 - 3)*(-u + 0*u + 3*u) to l*u + k and give l.
-74
Express -d**3 + d**3 + 3*d**3 + (-4 - 3*d**3 + 4 + (d**3 + d**3 + 0*d**3)*(-4 + 3 + 3))*(3 - 6 + 2) in the form k + n*d**3 + f*d + t*d**2 and give n.
2
Rearrange (1 - 2*g + 2*g - g)*(-2 - 3 + 0 + (-2 + 2 + 1)*(-3 - 3 + 4)) to the... | {
"pile_set_name": "DM Mathematics"
} |
- 47 - -20?
-7
Evaluate (2 - 11) + (-10 - (-9 + (-2 - -2))).
-10
Evaluate (10 - (6 + -1)) + (-2 - 8) + -8.
-13
What is (-10 - 5) + 3 - (-1 + 0 - 1)?
-10
Calculate 1 + 1 - (-169 + 164).
7
What is the value of (8 - 13) + 25 + -15?
5
Evaluate -7 + -5 + (19 - (-5 - -11)) + 0.
1
What is 6 + -16 - (-6 + 7 - 0)?
-11
What is -... | {
"pile_set_name": "DM Mathematics"
} |
of 1/9, to the nearest integer?
4
What is the sixth root of 248481 to the nearest integer?
8
What is 904686 to the power of 1/3, to the nearest integer?
97
What is 690879 to the power of 1/6, to the nearest integer?
9
What is the eighth root of 106939 to the nearest integer?
4
What is the cube root of 136327 to the ne... | {
"pile_set_name": "DM Mathematics"
} |
-877*l - 194. Let t(a) = -14*d(a) - 11*z(a). Is t(v) prime?
True
Let f(x) = -133*x + 49. Let h be f(-6). Suppose -2*n + h + 889 = 2*t, 2 = -2*n. Is t composite?
True
Let d be 2 + (2 + -1)*-1 + 2. Let k be d*(1 + 0 + 0)/3. Let z(i) = 185*i**2 + 5*i - 5. Is z(k) a composite number?
True
Suppose 2*p + 3*f = 14, 6*p = 7*p... | {
"pile_set_name": "DM Mathematics"
} |
-12). Suppose -a*x - 6 = 0, -47 = -3*p + 3*x - 14. Suppose -135 = -16*g + 11*g. What is the highest common divisor of g and p?
9
Let y(m) = 25*m - 140. Let d be y(8). Let a(b) = b**2 - 3*b + 9. Let u be a(6). Let o = u + -15. What is the greatest common divisor of d and o?
12
Let v = -31 + 79. Suppose -80 = v*q - 53*q.... | {
"pile_set_name": "DM Mathematics"
} |
form r + z*n + s*n**2 + x*n**4 + w*n**3 and give w.
50
Express -8*a**3 - 3847 - 3*a**2 + 4*a**3 + 3843 in the form w*a**2 + u*a + x*a**3 + h and give h.
-4
Rearrange -140 + 7*s**2 - 2*s**2 + 136 to i*s**2 + v*s + x and give i.
5
Express (4 + 5*r - 4)*(10 - 1 - 2 + (1 - 4 + 4)*(-3 - 2 + 2)) + (r + 4*r - 3*r)*(-1 + 4 - ... | {
"pile_set_name": "DM Mathematics"
} |
= b**2 - 1650*b + 651075. Calculate i(653).
34
Let h(i) = -43*i**3 + 3*i**2 - 6*i - 2. Give h(3).
-1154
Let p(h) = -41*h**3 + 736*h**2 + 37*h - 15. What is p(18)?
3
Let v(g) = 635*g**2 + 49*g. Calculate v(1).
684
Let x(t) = 47*t + 3967. Determine x(-74).
489
Let i(b) = 3981*b - 8261. Give i(2).
-299
Let w(l) = l**3 - ... | {
"pile_set_name": "DM Mathematics"
} |
i(m) + 4*u(m)?
m + 2
Let i(d) = -44*d**3 + 18*d**2 - 3. Let t(j) = -484*j**3 + 196*j**2 - 32. Determine 32*i(w) - 3*t(w).
44*w**3 - 12*w**2
Let s(d) = -4*d + 1. Let b(f) = 5*f - 1. Let u = 102 + -105. What is u*s(w) - 2*b(w)?
2*w - 1
Let n = -1104 - -1101. Let m(v) = -2*v**3 + 3*v**2 - 5*v - 2. Let f(u) = -u**3 + u**2 ... | {
"pile_set_name": "DM Mathematics"
} |
he same value?
False
Suppose 84 = -5*m + 24. Let j = 81 - 66. Let k = m + j. Which is smaller: k or 18/5?
k
Let f = 0.28 + -32.28. Let m = f + 34.6. Let y = 2 - m. Does -2/5 = y?
False
Suppose 591 + 434 = 5*o. Let i = 2133/5 - 221. Let f = i - o. Which is smaller: f or -0.1?
-0.1
Suppose 3*m = -3*d - 486, 0 = -3*d + d ... | {
"pile_set_name": "DM Mathematics"
} |
*5/20 + k**4/24 - k**3/6 - 116*k**2. What is y(2)?
13
Let u(k) be the third derivative of 0 + 1/24*k**4 - 5*k**2 + 1/6*k**3 + 0*k. What is u(-7)?
-6
Suppose 5 = -5*p + 5*g - 0, 3*p + 4*g = 18. Suppose -a = p + 3. Let j(i) = -17*i**2 - 4*i + 7*i**2 - 3 + 9*i**2. Give j(a).
-8
Suppose -s = -3*g + 25, -s - g - g = 25. Let... | {
"pile_set_name": "DM Mathematics"
} |
n(f) = 13*f**2 + 6*f. Give u(n(i)).
6181539*i**2 + 2853018*i
Let s(v) be the second derivative of v**3/6 + v. Suppose 0 = 4*j + 9 - 17. Let h(p) = 27*p**j + 10 - 10. Determine s(h(a)).
27*a**2
Let f(m) be the third derivative of m**5/15 + 531423*m**2. Let v(d) = 0 - 6*d + 0. What is f(v(l))?
144*l**2
Let t(d) = -664 + ... | {
"pile_set_name": "DM Mathematics"
} |
-5*g(y) - 7*l(y).
-3*y - 1
Let o(y) = 471*y - 129. Let c(d) = -235*d + 59. Let g(u) = 9*c(u) + 4*o(u). Let l(v) = -33*v + 2. Give 2*g(b) - 15*l(b).
33*b
Let w(s) = -3*s - 32 - 3*s - s**2 - 34 + 62 + 2*s**3. Let r(o) = -2*o**3 + 7*o + 5. Give -6*r(m) - 7*w(m).
-2*m**3 + 7*m**2 - 2
Let o(y) = -29*y**2 + 7*y + 3. Let b(z... | {
"pile_set_name": "DM Mathematics"
} |
y is positive.
y**(-5/3)
Simplify (y*y/(y**(1/27)/y))/y**(1/7)*y**(-9/8)/(y/y**(-3/5)) assuming y is positive.
y**(719/7560)
Simplify (i**2/i)**(-20/3)*(i**(2/5))**(-50)*((((i**7/i)/i)/i)/i**(-3))/(i**(5/6)*i*i*(i**(2/3)*i*i)/i) assuming i is positive.
i**(-145/6)
Simplify (q/((q/(q**13*q))/q)*(q/q**(-17))/q*((q/(q**(-... | {
"pile_set_name": "DM Mathematics"
} |
u(4). What is the nearest to z in v, -3/5, 1/6?
-3/5
Let j = -4 - -3. What is the closest to j in 3, 3/7, -3?
3/7
Let w be ((-3)/(-18))/((-2)/(-9)). Which is the closest to 3/5? (a) 4 (b) w (c) 2/11
b
Let t = 30 + -29. Let r = 2.5 - 3. Which is the closest to 1? (a) t (b) r (c) -3
a
Let l = -16 - -16.9. Let d = ... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 31386705.
3, 5, 7, 42703
What are the prime factors of 945766362?
2, 3, 157627727
What are the prime factors of 1651575508?
2, 11, 37535807
List the prime factors of 93094393.
7, 109, 122011
What are the prime factors of 27622646?
2, 37, 53, 7043
What are the prime factors of 1171110352?
2, 59, 71... | {
"pile_set_name": "DM Mathematics"
} |
463)/2
Factor 7*c**3/3 + c**2 - 7*c/3 - 1.
(c - 1)*(c + 1)*(7*c + 3)/3
Solve -2*k**3 - 244*k**2 - 7442*k = 0.
-61, 0
Determine q so that q**3/6 + 7*q**2/2 + 15*q = 0.
-15, -6, 0
Determine p so that 3*p**5/4 - 45*p**4/2 + 597*p**3/4 - 801*p**2/2 + 471*p - 198 = 0.
1, 2, 3, 22
Find y, given that -3*y**2 + 48 = 0.
-4, 4
F... | {
"pile_set_name": "DM Mathematics"
} |
t y be -24 + 4053/168 - 70/(-16). Let a(g) be the first derivative of -3/2*g**2 + 3/2*g**6 + 0*g - 24/5*g**5 + 0*g**3 + y*g**4 + 2. Factor a(z).
3*z*(z - 1)**3*(3*z + 1)
Let w(u) be the first derivative of -1/8*u**4 - 143748*u - 3267*u**2 + 139 - 33*u**3. Find o such that w(o) = 0.
-66
Let 12*y**3 + 9*y**4 - 24*y + 106... | {
"pile_set_name": "DM Mathematics"
} |
31*x + 44835*x for x.
-8
Solve 5*r - p + 17 = 0, -37223*r - 45 = -37214*r + 3*p for r.
-4
Solve 3*u + 14 - 4 + 41 = 0, -4*f + 170 = u + 3*u - 14*u for f.
0
Solve -52*f - i + 116 = -9, -f - 4*i = -3*i - 23 for f.
2
Solve -11678*h + 5*p - 53 = -11676*h, 6*h - 2*p = -94 for h.
-14
Solve -2*z = 3*m - 70, 119*m - 224*m - 5*... | {
"pile_set_name": "DM Mathematics"
} |
3*o**n - 13/3*o**4 + 1/3*o**2 + 0 + 2/3*o - 5/3*o**5.
-o*(o + 1)**3*(5*o - 2)/3
Factor -7*l - 5 - 2*l**2 - l + 6 - 9.
-2*(l + 2)**2
Let j(p) = -10*p**3 + 28*p**2 - 26*p + 2. Let t(u) = -u**2 + u - 1. Let d(c) = -2*j(c) + 12*t(c). Factor d(z).
4*(z - 2)*(z - 1)*(5*z - 2)
Let z(n) be the third derivative of 0*n + n**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
**(-25) assuming g is positive.
g**(-80850)
Simplify (l/(l*l**(-2/3)))**(-2/149)*l*l/(l**(-8)*l)*l*l**(-1/10) assuming l is positive.
l**(44213/4470)
Simplify (x**(2/5))**(29/2)*((x*x**(1/6)*x*x)/x)/(x/x**(-12)) assuming x is positive.
x**(-151/30)
Simplify ((h*h**(-13))/(h**10/h))/(h/h**(-2)*h*h)**(-2/11) assuming h i... | {
"pile_set_name": "DM Mathematics"
} |
Let z(j) be the first derivative of j**3/3 - 5*j - 102. Suppose 3*f + 3 = -4*u + 6, 2 = -5*u + 2*f. Determine z(u).
-5
Let l(s) = -6*s**3 - 5*s**2 + 7*s**3 - 5*s + 1321 - 1322. Let m be (-8)/(-10)*(-45)/(-6). Give l(m).
5
Let j be ((-4 - -9) + -336)*(1 - 2). Let u(q) = 4*q - j*q**3 - q + 6*q**2 + 3 - 2*q + 332*q**3. D... | {
"pile_set_name": "DM Mathematics"
} |
be the first derivative of 11*x**3 - 100. Give f(y(a)).
1089*a**4
Let q(c) be the first derivative of -11/3*c**3 + 0*c**2 + 76 + 0*c. Let p(h) = -8*h**2. What is q(p(t))?
-704*t**4
Let m(z) = z. Let c(n) = n**2 + 102*n - 9. Let k(o) = o**2 + 108*o - 9. Let p(a) = -5*c(a) + 6*k(a). What is p(m(y))?
y**2 + 138*y - 9
Let... | {
"pile_set_name": "DM Mathematics"
} |
n -605 - 2281288*a**3 + 605 + 1140646*a**3 + 1140643*a**3.
a**3
Collect the terms in -585*m**3 + 2926*m + 2147*m**3 - 2926*m.
1562*m**3
Collect the terms in 109*j**2 - 56*j**2 + 137*j**2 - 49*j**2 - 74*j**2 - 68*j**2.
-j**2
Collect the terms in 3319*u**2 + 15958*u**2 - 6969*u**2.
12308*u**2
Collect the terms in -18981*... | {
"pile_set_name": "DM Mathematics"
} |
n descending order.
i, 13, -3
Let f = 4.1755 - 3.8755. Put 0.1, 3, f, -869 in decreasing order.
3, f, 0.1, -869
Suppose j + 10 = 5*k, -4*k + 5*j + 42 = 34. Put 72, 48, k in descending order.
72, 48, k
Suppose -4*k - 58 = 6*f, -3*f + 5 - 42 = -2*k. Let p = -0.17 - -0.27. Sort f, 4, p, 2/7.
f, p, 2/7, 4
Suppose 0 = 117*s... | {
"pile_set_name": "DM Mathematics"
} |
. What is the units digit of d/(-14) + (-174)/(-21)?
8
Suppose -12 = 4*j, -j = -5*q + 4*q + 13. Suppose q = -0*k + k + 5*c, 8 = -k + c. What is the units digit of 3/15 + (-19)/k?
4
Let r(y) = -31*y + 5. What is the tens digit of r(-11)?
4
Suppose -12*j + 219 = -9*j. What is the units digit of j?
3
Let w(x) = -6*x**3 - ... | {
"pile_set_name": "DM Mathematics"
} |
*3 + 2*j**2 - 3*j - 3. Let p(a) = -a**2 + 1. Let i be p(-2). Let u be g(i). Let y(s) = s**2 - 5*s - 1. Let c(m) = -m - 1. Calculate u*c(x) + y(x).
x**2 - 2*x + 2
Let n be 2*2/(-8)*-2. Let f be (n*-2)/(2/1). Let j(t) = 14*t - 12. Let d(k) be the first derivative of -k**2/2 + k + 2. What is f*j(l) - 12*d(l)?
-2*l
Let p(q... | {
"pile_set_name": "DM Mathematics"
} |
erm of -803, -1631, -2459, -3287?
-828*w + 25
What is the g'th term of 3070740, 6141483, 9212228, 12282975, 15353724, 18424475, 21495228?
g**2 + 3070740*g - 1
What is the x'th term of -156, -158, -160, -162, -164, -166?
-2*x - 154
What is the i'th term of 320, 361, 426, 527, 676, 885, 1166, 1531?
2*i**3 + 27*i + 291
Wh... | {
"pile_set_name": "DM Mathematics"
} |
l**2)*(-2 + 2 + 2)).
-25*l**3
Expand (23*i**5 - 9*i**2 + 9*i**2)*(1 - 4 - 3) + 4*i**5 + i**5 - 2*i**5 + 3*i**4 + 6*i**5 - 14*i**5 + 5*i**5.
-138*i**5 + 3*i**4
Expand (15 - 26*x - 26*x + 49*x)*(60*x**3 - x**3 - x**3).
-174*x**4 + 870*x**3
Expand (h - 8 + 8)*(h - 3*h + h + (-3*h + 0*h + h)*(-4 + 4 + 2) + (-117 + 57 + 59)... | {
"pile_set_name": "DM Mathematics"
} |
t replacement from taatatttaqna.
5/264
Calculate prob of sequence wwo when three letters picked without replacement from {o: 3, w: 4, h: 6}.
3/143
What is prob of sequence twfp when four letters picked without replacement from tufplwwl?
1/840
Three letters picked without replacement from {j: 1, s: 4, u: 1, g: 1, n: 1}.... | {
"pile_set_name": "DM Mathematics"
} |
-13*x**5/30 + 23*x**2 + x. Determine y(g(n)).
-104*n**2
Let i(f) = -17*f**2. Let l(x) = -6*x + 5. Let g(w) = -6*w + 17. Let j(c) = 3*c - 9. Let n(v) = -6*g(v) - 11*j(v). Let m(q) = 3*l(q) + 5*n(q). Give m(i(p)).
51*p**2
Let y(c) = 7*c**2 - 5*c + 5. Let m(l) = -4*l**2 + 3*l - 3. Suppose -19 = -5*i + 6. Let s(v) = i*m(v)... | {
"pile_set_name": "DM Mathematics"
} |
2/3
((-8)/(-434))/((-19)/((-266)/4))
2/31
What is 6*3/(-6)*-1?
3
Calculate ((80/(-8))/(-40))/((-1)/(-4)).
1
What is (-5)/(-22)*11/((-110)/(-8))?
2/11
4/((16/4)/(-4))
-4
What is the value of 3/(30/(-40)*5)?
-4/5
What is the value of (48/(-18))/(2/3)?
-4
Evaluate (-7)/(7/(-6))*(-42)/(-36).
7
What is ((-1)/(-3))/(5/15)?
... | {
"pile_set_name": "DM Mathematics"
} |
5
Solve 44*t = -5*s + 278, 31*t - 64*t = -s - 38*t + 48 for s.
38
Solve -4*s + 49 = -3*p + 34, 3*p = 70*s - 11*s + 150 for p.
-9
Solve 106*m + 1272 = 4*i, -18 = 5*m - 3*i + 32 + 10 for m.
-12
Solve 6*j + 19*n = 16*n - 12, 7*j = 381*n - 375*n + 5 for j.
-1
Solve -4*x - 2*a + 8 = -5*x + 2*x + 4, 25*x + 84 = -4*a for x.
-... | {
"pile_set_name": "DM Mathematics"
} |
+ 1 - -1 - 11) + -1).
-10
(151 - 139 - (11 - 2)) + -7
-4
What is (19 - 4) + -8 + (2 - 1)?
8
Evaluate -11 + -1 - (11 - 14 - (-8 - -5)).
-12
Calculate 18 + (-14 - -2) + -2.
4
What is the value of (40 - 5 - -5) + -26?
14
What is (12 - -10) + -16 - (1 + 8)?
-3
Calculate -11 - (-2 - -3) - (30 - 23).
-19
What is the value o... | {
"pile_set_name": "DM Mathematics"
} |
115/1716?
5148
What is the common denominator of -101/75160 and 41/12?
225480
Calculate the common denominator of -1/44748 and -41/44.
44748
Calculate the common denominator of 95/15912 and 12/455.
556920
Calculate the smallest common multiple of 8 and 128609.
1028872
Calculate the smallest common multiple of 21372 and... | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in 14854 - 14854 - 802604*u**2.
-802604*u**2
Collect the terms in -4 - 53138*l + 4 + 54185*l.
1047*l
Collect the terms in -3 + 3 + 295466642*s**2 - 295466654*s**2.
-12*s**2
Collect the terms in -149940898*v**2 - 149940890*v**2 + 299881775*v**2.
-13*v**2
Collect the terms in 4*l + 14303979*l**2 - 10*l + 6*... | {
"pile_set_name": "DM Mathematics"
} |
+ b - 1. Let i(h) = -5*h. Give z*i(f) - 3*j(f).
2*f - 3
Let m(o) = 2*o**3 + 2*o**2 + 4 - 2*o**2. Let d(z) = -z**3 - 1. Suppose -v + 4*u = -0*v + 40, 0 = -3*v - 5*u - 86. Let f = v - -33. Calculate f*m(k) + 4*d(k).
-2*k**3
Let h(w) = -107*w - 7. Let o(z) = -106*z - 8. Determine -7*h(g) + 6*o(g).
113*g + 1
Let i(h) = -3... | {
"pile_set_name": "DM Mathematics"
} |
568?
7
What is the thousands digit of 4039367?
9
What is the millions digit of 3220524?
3
What is the millions digit of 2456890?
2
What is the thousands digit of 10092184?
2
What is the thousands digit of 614613?
4
What is the hundred thousands digit of 708017?
7
What is the thousands digit of 10588909?
8
What is the t... | {
"pile_set_name": "DM Mathematics"
} |
multiple of 68?
True
Is 172319070 a multiple of 76?
False
Is 43008027 a multiple of 145?
False
Is 280 a factor of 85164569?
False
Is 94 a factor of 37192510?
True
Is 218 a factor of 2966318067?
False
Is 46433303 a multiple of 5107?
False
Does 11 divide 9102116?
False
Is 277344030 a multiple of 50?
False
Is 128310956 a... | {
"pile_set_name": "DM Mathematics"
} |
, 5?
-0.2
What is the closest to -1.4 in -0.3, -2, 2?
-2
What is the closest to 0.3 in -6, 14, 3?
3
Which is the closest to 63? (a) -4 (b) -0.5 (c) -0.02
c
Which is the closest to -7? (a) -151 (b) -5 (c) 1/6
b
Which is the nearest to 3? (a) 0 (b) -0.5 (c) 1/5 (d) -4
c
What is the nearest to -1 in -0.2, 1.5, 4... | {
"pile_set_name": "DM Mathematics"
} |
+ 0.050583. What is m rounded to 3 decimal places?
-0.045
Let f = 16226 + -16226.00000036724. Round f to seven dps.
-0.0000004
Let y = -133789 + 133788.9914367. What is y rounded to 4 dps?
-0.0086
Let n = 2376 + -2375.99999997076. Round n to seven dps.
0
Let d = 0.42297043 + -3496.52941043. Let r = 3496 + d. Let x = r ... | {
"pile_set_name": "DM Mathematics"
} |
ions digit of 390163266?
0
What is the units digit of 2734043509?
9
What is the units digit of 8535625?
5
What is the ten thousands digit of 269598426?
9
What is the units digit of 459091576?
6
What is the hundreds digit of 118861705?
7
What is the hundred millions digit of 151381417?
1
What is the ten thousands digit ... | {
"pile_set_name": "DM Mathematics"
} |
ten millions digit of 65909445?
6
What is the hundred thousands digit of 218968922?
9
What is the millions digit of 309866148?
9
What is the ten thousands digit of 26953710?
5
What is the ten thousands digit of 171314807?
1
What is the ten thousands digit of 3532655434?
5
What is the billions digit of 7090799185?
7
Wh... | {
"pile_set_name": "DM Mathematics"
} |
15*k + 2 for c.
0
Solve -4*k + 68*l - 53 = 77*l, 3 = 4*k - l + 86 for k.
-20
Solve -4*x + 5*g = 90, 508*x = 498*x - 5*g + 90 for x.
0
Solve v = 3*z + 61, -1420 = -2*v + z - 1318 for v.
49
Solve -3*y - y + 21*p = -16*p + 34*p + 96, -5*y - 5*p + 125 = 0 for y.
-3
Solve 845*y - 137 = 2*a + 848*y, -23*y - 117 = 2*a for a.
... | {
"pile_set_name": "DM Mathematics"
} |
+ 2)*(2 + f - 2) - f - f + 4*f)*(-4 + 2 + 4)*(3 - 1 + 3).
30*f
Expand (-3*p**2 - p**2 + 2*p**2)*(9*p - 20*p + 9*p - 1).
4*p**3 + 2*p**2
Expand (0*s**3 + 0*s**3 - s**3)*(3 + s - 3) + 160 - 160 - 6*s**4 + (-s**3 - s**3 + 0*s**3)*(0*s + 2*s - s).
-9*s**4
Expand (m**3 - 4*m**3 + 5*m**3)*(2*m + 4*m - 4*m) - 2*m**4 - 2*m**4 ... | {
"pile_set_name": "DM Mathematics"
} |
6*z - 119. Let j be q(22). Give s(j).
9
Let y(r) = 2*r**2 - 13*r + 10. Suppose 4*v - 3*w = 31, 23*w - 22*w = 2*v - 15. Give y(v).
17
Let h(c) = -2*c**2 + 3*c + 3. Let o(z) = -z**2 - 18*z + 90. Let v be o(-22). Let r be (-8)/(-12)*-2*3/v. What is h(r)?
-11
Let a(x) = x**2 + 11*x - 126. Suppose -6*j - 73*j - 64*j = 2717.... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 10*g + 631135
What is the f'th term of -7810, -7694, -7514, -7258, -6914, -6470, -5914, -5234?
2*f**3 + 20*f**2 + 42*f - 7874
What is the n'th term of -994, -1028, -1080, -1150, -1238, -1344?
-9*n**2 - 7*n - 978
What is the n'th term of 9544, 12233, 14934, 17653, 20396?
n**3 + 2682*n + 6861
What is the s'th term o... | {
"pile_set_name": "DM Mathematics"
} |
05.
7340605
Find the common denominator of 109/5088 and -113/2513896.
30166752
What is the common denominator of 79/11213196 and 107/36?
33639588
Calculate the common denominator of 23/55359786 and 49/50.
1383994650
What is the common denominator of 16/8009883 and 121/103662?
208256958
Calculate the lowest common multi... | {
"pile_set_name": "DM Mathematics"
} |
i: 2, a: 1, j: 1, m: 4}. What is prob of sequence mjai?
1/378
Three letters picked without replacement from {j: 7, e: 5}. Give prob of sequence jjj.
7/44
What is prob of sequence ho when two letters picked without replacement from {h: 1, k: 1, f: 1, o: 1, g: 1}?
1/20
What is prob of sequence ggqq when four letters pic... | {
"pile_set_name": "DM Mathematics"
} |
)**(2/11)/((q/(q/(q*q/((q*(q*q*q/(q**30*q*q*q))/q)/q)*q*q)))/q**(-12/11)) assuming q is positive.
q**(-445/11)
Simplify ((((p**(-6)/p)**16)**(3/28))**20)**(2/15) assuming p is positive.
p**(-32)
Simplify ((t**(2/7))**(9/8)*(t**(-2/3))**(-30))/((t*t**0*t)**(1/13)*t**0/t**(-1/3)) assuming t is positive.
t**(21659/1092)
S... | {
"pile_set_name": "DM Mathematics"
} |
a and 1 j.
16/153
What is prob of picking 1 d and 2 l when three letters picked without replacement from {d: 5, l: 7, y: 7}?
35/323
Two letters picked without replacement from vaoavbaaaoa. Give prob of picking 1 v and 1 a.
12/55
What is prob of picking 1 k, 1 d, 1 c, and 1 o when four letters picked without replacemen... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 195210.
2, 3, 5, 241
What are the prime factors of 886294?
2, 443147
List the prime factors of 300021.
3, 97, 1031
What are the prime factors of 13031810?
2, 5, 11, 118471
List the prime factors of 201326.
2, 43, 2341
List the prime factors of 733952.
2, 47, 61
List the prime factors of 35600.
2, ... | {
"pile_set_name": "DM Mathematics"
} |
culate v(-107).
-9
Let s(j) = -j**3 - 37*j**2 + 208*j + 9. Give s(5).
-1
Let w(j) = -121*j**3 - 13*j**2 - 11*j + 3. Calculate w(-1).
122
Let r(u) = -2*u**3 + 11*u + 3. Determine r(-3).
24
Let w(r) = r**3 + 6*r + 90. Determine w(0).
90
Let c(n) = n**3 - 73*n**2 - 172. Determine c(73).
-172
Let b(w) = -2*w**3 + 178*w**2 ... | {
"pile_set_name": "DM Mathematics"
} |
common multiple of 1935 and 675?
29025
What is the lowest common multiple of 594 and 18216?
54648
What is the common denominator of -53/14 and 1/6652?
46564
Calculate the least common multiple of 111664 and 79760.
558320
Find the common denominator of 93/2750 and -73/550.
2750
Find the common denominator of 10/69 and ... | {
"pile_set_name": "DM Mathematics"
} |
2)/v and m.
264
Let y = 37647686/69 + -545630. Let q = y - -25801/2208. What is the common denominator of q and 53/240?
480
Let o = 4 + 2. Let z(i) = -387*i**2 - 8*i - 7. Let m be z(-1). Let l = 392 + m. What is the lowest common multiple of o and l?
6
Let x = 5/277 + -19677/554. Let c = -1189 - -1117. What is the comm... | {
"pile_set_name": "DM Mathematics"
} |
*r**2 - 4*r**3 - 7*r**3 + r**2.
-7*r**3 - r**2
Collect the terms in -10*y - 8*y + 11*y + 11*y + 3*y.
7*y
Collect the terms in -533 + 533 + 37*d**2.
37*d**2
Collect the terms in -21*k + 6*k - k.
-16*k
Collect the terms in 3160*f**2 - 1579*f**2 - 1582*f**2.
-f**2
Collect the terms in 179*c**3 - 356*c**3 + 192*c**3.
15*c*... | {
"pile_set_name": "DM Mathematics"
} |
Let s(v) = v - 1. Let w(y) = -p(y) - 6*s(y). Differentiate w(j) wrt j.
-1
Let g(r) = -r**3 + 3*r**2 + 2*r + 4. Let w be g(4). Let f = 8 + w. Find the second derivative of -f*p + 3*p - 2*p**4 + p**4 wrt p.
-12*p**2
What is the second derivative of 20*o**2 + 58*o - 70*o - 7*o**2 wrt o?
26
Let o(j) be the first derivativ... | {
"pile_set_name": "DM Mathematics"
} |
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