text stringlengths 270 8.19k | meta dict |
|---|---|
smallest value in -0.3, n, 1/6?
1/6
Let u be (21/6)/(1/2). Let v = 1377 - 4129/3. Which is the second smallest value? (a) u (b) 1/3 (c) v (d) 0.4
d
Let s be 1614/840 + (-3)/(-12). Let j = s + -18/7. What is the third smallest value in 7, 5, j?
7
Let p(r) = r - 7. Let z = -9 - -14. Suppose 16 = 3*j - z. Let a be p(j... | {
"pile_set_name": "DM Mathematics"
} |
?
3
Suppose -3 = -i + 2. Suppose 12 = i*d + 2. Suppose 0*v + 12 = d*v. What is the units digit of v?
6
Suppose 0 = 2*k - 189 - 399. What is the hundreds digit of k?
2
Suppose 0 = -2*y + k + 28, -2*y + 76 = 3*y - k. Let c be (-30)/3 - 2/2. Let x = c + y. What is the units digit of x?
5
Suppose 0 = -3*l + 67 + 86. Let b ... | {
"pile_set_name": "DM Mathematics"
} |
87549*z
Find the second derivative of -5*m**5 + 48959150*m**3 - 1314096*m wrt m.
-100*m**3 + 293754900*m
Find the third derivative of -2*o**3*q**3 - 387046191*o**3*q + 29*o**2*q**3 - 3*o*q**3 + 2612*o*q wrt o.
-12*q**3 - 2322277146*q
Find the third derivative of -29004*o**5 - 219*o**3*q**3 - 62*o**2*q**3 + 125581*o**2*... | {
"pile_set_name": "DM Mathematics"
} |
**3.
-133*s**3
Collect the terms in -8613*i**2 + 110*i + 8625*i**2 - 55*i - 55*i.
12*i**2
Collect the terms in 46 + 154 + 153*d + 160*d - 311*d + 26.
2*d + 226
Collect the terms in 8 - 5 - s**3 + 78*s**3.
77*s**3 + 3
Collect the terms in 3*u**2 + 5*u**2 - 12746030*u**3 + 12746029*u**3 - 8*u**2.
-u**3
Collect the terms ... | {
"pile_set_name": "DM Mathematics"
} |
, 46/7, -8/5?
-8/5
Which is the third biggest value? (a) 378 (b) -3 (c) 73 (d) -4 (e) -6.9 (f) 4 (g) 3/2
f
What is the third biggest value in 3.4, -7/335, 0, 5?
0
What is the second smallest value in -0.1, -1, 5, -0.3, -46654, -0.5?
-1
What is the third smallest value in 0, -2, 1/22, 2/13, -611?
0
What is the se... | {
"pile_set_name": "DM Mathematics"
} |
te the greatest common divisor of 3731 and 91.
91
What is the greatest common factor of 481 and 26?
13
What is the highest common factor of 258 and 12?
6
Calculate the highest common divisor of 42 and 2758.
14
What is the highest common factor of 18 and 423?
9
What is the highest common divisor of 77 and 133?
7
Calcula... | {
"pile_set_name": "DM Mathematics"
} |
t i be (-1)/(-4)*o/(-305). Which is bigger: -2/5 or i?
i
Let z(d) = d**2 + 4*d + 4. Suppose 3*v = -4 - 8. Let q be z(v). Does 2 = q?
False
Suppose -3*l + 4 = l + c, 5*l + 2*c - 8 = 0. Is -6/13 bigger than l?
False
Let k be (-1)/3*(-12)/16. Let q = k - -1/4. Is q != -1/3?
True
Let u = 17 + -14. Let t = 0 - 0. Let a be (... | {
"pile_set_name": "DM Mathematics"
} |
0.
-8000
Let r = -22 - -23.8. Let g = r + -1.8. Let q = -1.8 + g. What is q rounded to 0 decimal places?
-2
Let q = 83.255 - 83.3. Let m = -0.013 + 0.0642. Let g = q + m. What is g rounded to three dps?
0.006
Let b = 9.3883839696 - -816893.6120260304. Let u = b - 816887. Let x = u + -16. What is x rounded to four dps?
... | {
"pile_set_name": "DM Mathematics"
} |
de -982080 by -1984.
495
Calculate -16 divided by -76.
4/19
Calculate -2869168 divided by -2.
1434584
What is -4086476 divided by -14389?
284
Divide -419709 by 13539.
-31
What is 42939 divided by -3303?
-13
What is -53950 divided by -10790?
5
3077600 divided by -384700
-8
Calculate -3 divided by 5082.
-1/1694
Calculate... | {
"pile_set_name": "DM Mathematics"
} |
ound p to four dps.
0.0001
Suppose 0*r = 8*r + 97504. Let h = 20728 + r. Round h to the nearest ten thousand.
10000
Let x = -1496.87862 + 21.22962. Let g = x + 1477. What is g rounded to 1 dp?
1.4
Let k = 26359 + -26358.997008. What is k rounded to two dps?
0
Let w = -4177 + 4160.87. Round w to the nearest 10.
-20
Let ... | {
"pile_set_name": "DM Mathematics"
} |
: 1, x: 2, r: 3, z: 4, k: 1}.
1/660
Two letters picked without replacement from wud. Give prob of sequence uw.
1/6
Three letters picked without replacement from xbbxbbxbbxbbxbbbbbb. Give prob of sequence bbb.
364/969
Four letters picked without replacement from ititctihiiiitzh. What is prob of sequence izii?
1/156
What... | {
"pile_set_name": "DM Mathematics"
} |
t is the smallest value in -70.2, 3, 0.4, -2/13?
-70.2
Which is the sixth biggest value? (a) 5 (b) 0 (c) -2/7 (d) -0.4 (e) -0.1 (f) 68
d
Which is the second biggest value? (a) 0.4 (b) 27 (c) -27759 (d) -2 (e) 0.5
e
What is the third smallest value in -3, -0.14, -0.1, 26121?
-0.1
What is the seventh biggest v... | {
"pile_set_name": "DM Mathematics"
} |
for x.
0
Suppose -130 = -35*q + 9*q. Solve 4*f + 5*p + 20 = 2*f, -4*f = q*p + 20 for f.
0
Let b be (15/6)/((-1)/26). Let q = b - -88. Solve 4*m + q = -3*t, 3*t = -5*m - 2*t - 30 for m.
-5
Let c be 104/78 - 1/3. Let s be 12/c*24/72. Solve 3*r + 0*r + 4 = 4*y, 2*r - s = -4*y for y.
1
Let f(x) = 29*x + 29. Let t be f(-1).... | {
"pile_set_name": "DM Mathematics"
} |
h) in the form m + w*h**3 + u*h + c*h**2 and give m.
0
Rearrange -2*o**3 + 66 + o**2 - 2*o + o + o**4 - 120 + 68 to the form y*o**4 + z*o**3 + l + h*o**2 + n*o and give h.
1
Express -8 - 23*t**2 - 2 + 24*t**2 - t**3 as w + m*t**3 + s*t + n*t**2 and give w.
-10
Rearrange 6788 - 414*j - 6788 to the form h + z*j and give ... | {
"pile_set_name": "DM Mathematics"
} |
e
Suppose 0 = -8*n + 13*n - 10. Suppose 3*c + 5*v = 69809, 5*c - n*v - 116307 = -0*v. Suppose -m + 8261 = 2*p, -5*m = -4*p - 6706 + c. Is p composite?
False
Let w(d) = -2*d**2 + 7*d + 6. Let a be w(4). Suppose a*c + 4*o - 3*o = 371, -4*o - 760 = -4*c. Let z = c + -118. Is z composite?
True
Suppose 0 = 2*o - 0*b - 2*b +... | {
"pile_set_name": "DM Mathematics"
} |
*v**3*x + 206*u*v**3*z - 2*u*v**2 - 4*v**3 - 24*x with respect to z.
105*u*v**3*x + 206*u*v**3
What is the second derivative of 24992*k**4 - 13*k**2 - 1978311*k wrt k?
299904*k**2 - 26
Find the third derivative of 59*h*v**5 - 71*h*v**4 + h*v**3 - 178*h*v**2 + 2*h + 4*v**2 - 13*v wrt v.
3540*h*v**2 - 1704*h*v + 6*h
Diff... | {
"pile_set_name": "DM Mathematics"
} |
What is (112 - 209 - -6) + 132?
41
What is 3 + 2 + (17 - (-43 - -26))?
39
What is the value of -26 + (83 - -2 - 27) + 15?
47
What is 63 - (51 - -16 - -66)?
-70
Evaluate 12 + (-15 - (17 + -7)) - (-107 - 2) - -8.
104
Evaluate -81 + 7 - 25 - -51.
-48
-8 - (0 + 1 + -12 + (-21 - -25) + 7)
-8
-3 + 0 + -126 - (-7 - (8 - (-29 ... | {
"pile_set_name": "DM Mathematics"
} |
+ 13. Let o = l - h. What is the third smallest value in o, -0.1, -3?
o
Let l = 1787 + -5363/3. Which is the third smallest value? (a) -10 (b) -1.1 (c) 2 (d) l
d
Let s = 3543 + -3541. Which is the third smallest value? (a) -1 (b) 2/9 (c) -199 (d) s
b
Let a be (-240)/(-3740) + 2/(-11). Let i = -117 + 114. What i... | {
"pile_set_name": "DM Mathematics"
} |
one hundred?
-7800
What is -88762674.7 rounded to the nearest ten thousand?
-88760000
What is 0.00000546499531 rounded to 7 dps?
0.0000055
Round -4038396.2 to the nearest 10000.
-4040000
Round 0.000021580095382 to six decimal places.
0.000022
Round 0.00000080272786 to seven dps.
0.0000008
What is -0.00170778184 rounded... | {
"pile_set_name": "DM Mathematics"
} |
2*f = -80. Is o a composite number?
False
Let d be -54 - 4/8*-2. Let g = -46 - d. Let u = g + 50. Is u composite?
True
Let y be (-2 - 0) + 29271 - (7 + -6). Suppose 10*i = 7*i + y. Suppose 4*a = 4*h - 0*h - i, -h = -4*a - 2445. Is h a prime number?
True
Suppose 0 = -5*n + 4*i + 41423, -8287 = -4*n + 3*n + 2*i. Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
/(m*m*m/m**(-1/2))))/m*m)/(m/m**(-1/2))*(m**(2/21)*m)/(m/m**(3/5)) assuming m is positive.
m**(-98732/105)
Simplify (h**(-6)*h*h/h**(-1/5)*h)/((h*((h*h**4)/h*h)/h)/(h*h/(h/h**(3/2))))*(h/(h**(-5)/h))/(((h**9*h*h)/h)/h)*((h/h**(1/8))/h)/h**(-4) assuming h is positive.
h**(-137/40)
Simplify (m*m/(m*m*m*m**(-3/4)*m)*m*(m/... | {
"pile_set_name": "DM Mathematics"
} |
in descending order.
p, 3/5, 1/3, -2
Let p(y) = y**2 + 5*y + 2. Let r be p(-6). Suppose w + 2*d = r, 5*w = -2*d + 4*d + 52. Let f = w + -10. Sort -5, 1, f in ascending order.
-5, f, 1
Let l(n) = n + 8*n - 10*n + 14. Let w be l(11). Sort 9, 6, w in decreasing order.
9, 6, w
Let r be -33*4*(-3)/(-12). Let d = r + 29. Let... | {
"pile_set_name": "DM Mathematics"
} |
w many minutes are there between 9:18 PM and 3:31 AM?
373
How many minutes are there between 2:52 PM and 10:38 PM?
466
How many minutes are there between 6:25 AM and 5:47 PM?
682
What is 54 minutes after 10:08 PM?
11:02 PM
What is 337 minutes after 6:34 AM?
12:11 PM
How many minutes are there between 3:29 PM and 7:44 P... | {
"pile_set_name": "DM Mathematics"
} |
7*f**2.
9*f**2
Collect the terms in 1184*f + 2262 + 3463*f - 1131 - 1131.
4647*f
Collect the terms in -30*k**3 + 2 + 78*k - 2 - 132*k + 36*k**3 + 65*k.
6*k**3 + 11*k
Collect the terms in 43*j**3 + 33*j**3 + 38*j**3 + 32*j**3 - 151*j**3.
-5*j**3
Collect the terms in -171*n**3 + 439*n**3 + 218*n**3 + 3693 - 1847 - 1846.
... | {
"pile_set_name": "DM Mathematics"
} |
5*a + 0 = -4*p - 2, -4*p - 4 = 4*a. Suppose -5*g - 3*n - 20 + 73 = 0, -a*g + 10 = 4*n. Calculate the greatest common factor of g and 143.
13
Suppose 298*n = 300*n - 48. What is the greatest common factor of 680 and n?
8
Let k = 2820 - 785. What is the greatest common factor of k and 220?
55
Let f be 6 + -1 - (-9 + 14)... | {
"pile_set_name": "DM Mathematics"
} |
res?
0.0173374
How many seconds are there in one fifteenth of a hour?
240
What is 21/2 of a milligram in micrograms?
10500
What is 77692.4cm in nanometers?
776924000000
What is fourty-nine quarters of a gram in milligrams?
12250
Convert 470.0721l to millilitres.
470072.1
What is 0.55429ml in litres?
0.00055429
What is ... | {
"pile_set_name": "DM Mathematics"
} |
f g and (-2 - -4) + (-3)/(-2).
20
Let b(p) = p + 10. Let u be b(0). Suppose -2 + u = q. What is the smallest common multiple of q and 3?
24
Suppose 0 = -4*p - 6 + 18. Suppose -p*l + y = -10, -l + 3*l = -2*y - 4. Calculate the least common multiple of 138/7 + l/7 and 20.
20
Let z be ((-5)/21)/(14/2268). Let s = -2234/63... | {
"pile_set_name": "DM Mathematics"
} |
j be f(-3). Suppose -4*a - 2*z + j = 0, -151 + 1 = -b*a + 3*z. Does 7 divide a?
False
Let z(r) = -r**2 - 13*r - 10. Let v be z(-11). Let a be 0 + v/(6 + -2). Suppose 0 = a*p - 54 - 45. Does 27 divide p?
False
Let q be (-15)/90 + (-50)/(-12). Is (-2)/q - (-1215)/30 a multiple of 9?
False
Let t be ((-2)/(-4))/((-8)/(-48)... | {
"pile_set_name": "DM Mathematics"
} |
+ 1. Give g(h).
8
Let v(p) be the second derivative of -p**3/6 + 3*p**2 - 7*p. Calculate v(6).
0
Suppose -21 = -0*m - 4*m - 3*k, 0 = 3*m - 3*k. Let a(r) = r**2 - 4*r**2 - 5 + 5*r - 8*r + r**m. Let n be a(4). Let h(z) = 4*z**3 - z**2 - z - 1. Determine h(n).
-5
Suppose 0 = 4*d - 0*t - t + 11, 2*t = -d - 5. Let j(c) = 3*... | {
"pile_set_name": "DM Mathematics"
} |
6 = 0, w - 1 = 2*s + 9. Suppose i + 0 = 5*n - 11, 2*n + 2*i - w = 0. What is the highest common divisor of n and 18?
2
Let v(u) = 13*u**2 + 2*u - 4. Let y be v(3). Let n = 37 - 56. Let d = -2 - n. Calculate the greatest common factor of d and y.
17
Let b(j) = -6*j**3 - 2*j**2 + 2*j + 3. Let r be b(-2). Suppose -4*m = ... | {
"pile_set_name": "DM Mathematics"
} |
= -80 + 77. Let h(x) = q*b(x) - 2*d(x). Determine h(-2).
0
Let r(m) = -4*m - 1. Let u(x) = 10*x + 9. Let n(z) = 3*r(z) + u(z). Give n(-8).
22
Let k(u) = -u**2 - 7*u - 8. Let a = -1592 - -1582. Calculate k(a).
-38
Let h(c) = c**3 + 18*c**2 + 16*c - 14. Let q be h(-17). Let m be -2 + (q - (-3 - 0)). Let p(b) = -b**3 + 4... | {
"pile_set_name": "DM Mathematics"
} |
Let p be ((-1)/(-2))/((-7)/(-126)). Suppose 0 = p*s - 170 - 208. What is the tens digit of s?
4
Suppose v + 2*h - 17 = 0, 1 + 7 = 4*h. Let x = 13 + v. Suppose 2*u = 26 + x. What is the units digit of u?
6
Let t(y) = 2*y - 7. Let j be t(6). What is the tens digit of (-20)/(-50) - (-193)/j?
3
Let c = -9 - 63. Let f = c ... | {
"pile_set_name": "DM Mathematics"
} |
ands digit of 44557574?
7
What is the ten thousands digit of 102099387?
9
What is the units digit of 52709879?
9
What is the hundreds digit of 17562564?
5
What is the millions digit of 2893153952?
3
What is the tens digit of 182900780?
8
What is the units digit of 173178591?
1
What is the millions digit of 53497864?
3
... | {
"pile_set_name": "DM Mathematics"
} |
27/91
Calculate prob of picking 2 m, 1 s, and 1 n when four letters picked without replacement from {s: 3, n: 2, m: 10, t: 4}.
45/646
Calculate prob of picking 2 k and 2 o when four letters picked without replacement from {k: 3, o: 11}.
15/91
What is prob of picking 1 a and 3 q when four letters picked without replacem... | {
"pile_set_name": "DM Mathematics"
} |
)*u)/((u*u*u**2/u*u*u*u)/u))/((u*u**(-3/5)*u*u)/u**(-1)) assuming u is positive.
u**(18/5)
Simplify ((g**1*g**(-1/4))/(g*g/(g*g*g/(g*((g/(g/(g/(g*g/(g/g**(-1))))))/g)/g)))**(-6))**(-11/4) assuming g is positive.
g**(231/16)
Simplify (s*s**21/s*s*(s**(-6)*s)/s)/(s*s*s**19*s**16) assuming s is positive.
s**(-21)
Simplify... | {
"pile_set_name": "DM Mathematics"
} |
sands digit of 43260?
4
What is the millions digit of 11322923?
1
What is the thousands digit of 441430?
1
What is the thousands digit of 952001?
2
What is the hundreds digit of 325100?
1
What is the thousands digit of 585190?
5
What is the tens digit of 27290870?
7
What is the units digit of 21915171?
1
What is the mi... | {
"pile_set_name": "DM Mathematics"
} |
+ (-4 + 1 + 2)*(1 - 1 + 3*a)*(-1 + 3 + 2)*(-6 + 2 + 1) in the form j + k*a and give j.
-1
Rearrange (-1 + 1 + 2)*(-1 - 2 - 1)*(-1 + 5 - 2)*(-85*r**4 - 51*r**3 + 35*r**4 + 48*r**4) to the form t*r**3 + g*r**4 + m*r + v*r**2 + z and give t.
816
Express -44 + 182*g**2 + 175*g**2 + 9 + 36 in the form p + r*g + s*g**2 and ... | {
"pile_set_name": "DM Mathematics"
} |
ters are there in 76/5 of a micrometer?
15200
What is twenty-one eighths of a litre in millilitres?
2625
What is 53.44365 millennia in years?
53443.65
What is 40566.32 micrometers in nanometers?
40566320
What is 919307.6km in centimeters?
91930760000
How many millilitres are there in three eighths of a litre?
375
How m... | {
"pile_set_name": "DM Mathematics"
} |
2 + 52*z - 116. Let b be j(-28). Give o(b).
38
Let u(v) = -v**3 - 20*v**2 + v + 11. Let a(o) = -o**3 + 47*o**2 - 55*o + 394. Let z be a(46). Calculate u(z).
-9
Let t be (3/(-1))/((-2)/474). Let l = t + -714. Let o(n) = n**3 - n**2 + 2. Calculate o(l).
-34
Let v(q) = -q**3 - 3. Let j = -20 - -13. Let d = j - -10. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
is 11 - 302030?
-302013
In base 10, what is 4 + -57?
-53
In base 15, what is -2 + -e?
-11
In base 5, what is -104 + -2?
-111
In base 7, what is -21 + 5?
-13
In base 12, what is -21 - 3?
-24
In base 16, what is 18 + -23?
-b
In base 16, what is 8 - 27e?
-276
In base 7, what is 123 - -2?
125
In base 9, what is 2 + 100?
10... | {
"pile_set_name": "DM Mathematics"
} |
10
Product of 4 and 16.
64
Product of -1086 and -8.
8688
Calculate 12*0.211.
2.532
What is the product of -39.2 and 2?
-78.4
-0.41*105
-43.05
What is -160 times 9?
-1440
Product of 30 and -0.1.
-3
-995 * -4
3980
What is the product of -1287 and -2?
2574
What is 0.2 times 50.6?
10.12
Work out -13 * 0.03.
-0.39
What is t... | {
"pile_set_name": "DM Mathematics"
} |
*h. Find r, given that p(r) = 0.
-1, 1, 211
Let m(q) = 35 - 3*q + 6*q - 48. Let y be m(6). Factor 12*c**y + 38*c**5 + 60*c**2 - 64*c**4 + 204*c**4 - 4*c**2 + 138*c**3 + 8*c.
2*c*(c + 1)**2*(5*c + 2)**2
Suppose -8*s = -36*s + 112. Let h(p) be the third derivative of 1/120*p**5 + 0 + 0*p + 4*p**2 - 1/3*p**3 + 1/16*p**s. ... | {
"pile_set_name": "DM Mathematics"
} |
281, 2803
What are the prime factors of 74282330?
2, 5, 71, 104623
What are the prime factors of 633791358?
2, 3, 23, 510299
What are the prime factors of 128928374?
2, 17, 29, 229, 571
What are the prime factors of 46381806?
2, 3, 2576767
List the prime factors of 1507661210.
2, 5, 11, 19, 65579
List the prime factor... | {
"pile_set_name": "DM Mathematics"
} |
g w is positive.
w**(-1811/315)
Simplify (((x/x**(-21/5)*x*x)/x)/x)/(x**(-14)/x) assuming x is positive.
x**(101/5)
Simplify ((f**(2/15)/f)/f**(-1))**(-18/11) assuming f is positive.
f**(-12/55)
Simplify n/n**(-1)*n/(n**3/n)*(n**1/n)**(-13) assuming n is positive.
n
Simplify (y*y/(y/(y**(-3)/y))*y*y*y*y*y**(1/4)*y)/(y*... | {
"pile_set_name": "DM Mathematics"
} |
029/13950)
Simplify ((j**5/j**(3/2)*j**(-4/7)/j*j**4*j)**(-2/39))**4 assuming j is positive.
j**(-388/273)
Simplify (((i/i**(-17))/i)**(-9/2)*(i*i**17/i)**(-10))**39 assuming i is positive.
i**(-19227/2)
Simplify (s/(s*s*s/s**(1/4)*s*s)*s/((s/(s/s**5))/s)*s**3/s**(2/7))**(2/9) assuming s is positive.
s**(-113/126)
Simp... | {
"pile_set_name": "DM Mathematics"
} |
be (-5)/((-45)/2) + 207208/(-34146). Let m = f + -3/271. Calculate the common denominator of -4*(-1)/(8/(-76)) and m.
7
Suppose -2*o - 24 = -5*i, -2*o = -3*o - 3*i + 21. Let u(h) = -h**3 - 10*h**2 + 9*h - 13. What is the lowest common multiple of u(-11) and o?
9
Let n(v) = -2*v**3 + 2*v. Let c(z) = 9*z**3 - 4*z**2 - 18... | {
"pile_set_name": "DM Mathematics"
} |
x*z + i*z**2 and give m.
3
Express -3*i**4 + 31*i**2 - 63*i**2 + 5*i**4 + 45 + 40*i**2 - i**4 as g*i**4 + t*i**2 + b*i + w + j*i**3 and give b.
0
Express (2*z - 2*z - 4*z)*(431*z + 81*z - 4639*z + 477*z - 1770*z - 4110*z) as h*z + j*z**2 + b and give h.
0
Rearrange -2516*h**2 - 1404*h**2 - 389*h**2 to the form v*h**2 ... | {
"pile_set_name": "DM Mathematics"
} |
alculate the greatest common divisor of 1666662 and 210222.
1374
Calculate the highest common factor of 840 and 4661720.
280
Calculate the highest common factor of 476354 and 2888052.
2494
Calculate the greatest common factor of 1799442158 and 1577.
1577
What is the highest common divisor of 22946 and 252483?
77
What i... | {
"pile_set_name": "DM Mathematics"
} |
- 7*z**2. Determine k(w(s)).
12*s**4
Let z(t) = -2*t**2. Let f(a) be the second derivative of 3*a**4/2 + 18*a. Calculate z(f(g)).
-648*g**4
Let z(k) = 2*k**2. Suppose 4*s - 1 = 11. Let g(h) = 2*h**2 + s - 1 - 2. Give z(g(y)).
8*y**4
Suppose -2*n = n. Let d(k) = k + k + n*k. Let o(p) = -p**2 - 4*p**2 + 6*p**2. What is d... | {
"pile_set_name": "DM Mathematics"
} |
/13)*x*x/x**(-3/11))*(x*x**(2/11)*x*x)/x**(3/4)*x*x**(-2/3)*x*x**(2/3) assuming x is positive.
x**(48623/572)
Simplify (y**1)**(-9/7)*(y*y**1)/y*y/y**(-4)*((y**(-2))**(-42))**(-3/29) assuming y is positive.
y**(-807/203)
Simplify ((u*u*u**0/u*u*u)/(u/u**(3/4)*u))**(-24)*((u**(-3/8)/u)/u*u*u**6)**(-18/11) assuming u is ... | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 1421936?
2, 181, 491
List the prime factors of 13862881.
13862881
What are the prime factors of 818712?
2, 3, 83, 137
What are the prime factors of 19243058?
2, 1091, 8819
What are the prime factors of 1187222?
2, 277, 2143
What are the prime factors of 3675196?
2, 7, 17, 1103
What are th... | {
"pile_set_name": "DM Mathematics"
} |
alculate the remainder when 108 is divided by a/(-286) - i/(-13).
34
Suppose 0 = -3*m + 3*a + 1092, -3*m - 6*a = -7*a - 1104. Calculate the remainder when m is divided by 56.
34
Suppose -16*v + 1269 + 587 = 0. What is the remainder when 118 is divided by v?
2
Let m = 18 + -9. Calculate the remainder when 81 + (2 + 1 + ... | {
"pile_set_name": "DM Mathematics"
} |
2 - 1. Let d be ((-6)/2)/(11 + -14). Give y(d).
6
Let v(d) be the third derivative of d**5/12 + d**4/24 - d**3/6 - 8*d**2 - 18*d. Let z be -1 + -1 - (3 + -9). Suppose 3*c + c = z. Give v(c).
5
Let o(n) = 11*n**3 - 21*n**2 + 27*n - 22. Let i(d) = 3*d**3 - 7*d**2 + 9*d - 7. Let s(g) = -7*i(g) + 2*o(g). Give s(-8).
13
Let... | {
"pile_set_name": "DM Mathematics"
} |
*d - 372 = -3*t, -2*t + 222 = -8*d + 11*d. Solve d*s + 55 + 335 = 0 for s.
-5
Suppose 556*n - 555*n - 122 = -5*j, -5*j + 162 = -4*n. Solve 0 = 6*x + 4*x + j*x for x.
0
Let o(h) = h**2 - 5*h + 11. Let b be o(13). Let i = 162 - b. Let l = i - 35. Solve l = -f - 2*f for f.
-4
Let c = -26 + 20. Let f(p) = -p**2 - 5*p + 10.... | {
"pile_set_name": "DM Mathematics"
} |
7. Suppose o*s - 44 = 32*s. Solve 6*n - s = -5 for n.
1
Let p be ((-4)/3)/((-14)/(-21)). Let s(q) = 8*q + 27. Let t be s(-4). Let b = p - t. Solve -b*f = f - 4 for f.
1
Let l = 332 + -332. Suppose 59*t - 48*t - 132 = l. Solve -9*p + t = -5*p for p.
3
Let a(z) = z**2 + z - 75. Let v be a(-12). Let s = v + -54. Solve -8 ... | {
"pile_set_name": "DM Mathematics"
} |
he next term in 1, -3, -19, -47, -87?
-139
What is the next term in 79, 181, 349, 583?
883
What is next in 59973, 119893, 179813?
239733
What is next in -140904, -140905, -140906?
-140907
What comes next: 364, 720, 1072, 1420, 1764, 2104, 2440?
2772
What comes next: 16, 128, 424, 988, 1904, 3256, 5128, 7604?
10768
What... | {
"pile_set_name": "DM Mathematics"
} |
7060*i**3
Collect the terms in 58498*i - 29247*i - 27*i**2 - 29251*i.
-27*i**2
Collect the terms in 60*t + 133*t + 156*t - 18*t + 26*t**3.
26*t**3 + 331*t
Collect the terms in 29*f + 103*f - 1289 + 47198 - 25*f.
107*f + 45909
Collect the terms in 5343*t - 4388*t + 1043*t + 2166*t.
4164*t
Collect the terms in 82830*w**2... | {
"pile_set_name": "DM Mathematics"
} |
i(-3). Let y be 1/4 + 6/8. List the prime factors of (0 + f + 13)*y.
11
Suppose 2*y - 5*a = -4*a, 0 = -4*y - 2*a. Suppose y*f + 2*f + 19 = -s, 3*s - 15 = 2*f. Let h = 21 + f. List the prime factors of h.
2, 3
Suppose 0 = -2*x + 3*f + 75, 2*x - 165 = -2*x + 3*f. Suppose x = -4*t - 27. Let w = 26 + t. List the prime fact... | {
"pile_set_name": "DM Mathematics"
} |
?
45185712
What is the least common multiple of 672 and 1152?
8064
What is the common denominator of 23/106353 and 71/4434102?
57643326
What is the lowest common multiple of 265086080 and 24851820?
795258240
Find the common denominator of -2/33183 and 37/2569839.
23128551
Calculate the least common multiple of 1536 and... | {
"pile_set_name": "DM Mathematics"
} |
- 3*p. Determine y(q(g)).
12*g + 3
Let f(c) be the third derivative of -c**5/60 - c**2. Let x(l) be the third derivative of -l**4/12 - 2*l**2. What is x(f(u))?
2*u**2
Let h(z) = 9*z. Let j(y) = -5*y. Let k(a) = 3*h(a) + 5*j(a). Let m(p) = -42 - 34 - p + 76. Determine k(m(r)).
-2*r
Let s(o) = 0 + 2*o**2 + 0. Let p(m) b... | {
"pile_set_name": "DM Mathematics"
} |
847 and 284977.
3134747
Find the common denominator of -53/168 and 83/756.
1512
Calculate the least common multiple of 35 and 106585.
746095
Calculate the common denominator of -79/567 and -143/2268.
2268
What is the smallest common multiple of 66 and 1000032?
1000032
Find the common denominator of -139/18096 and -1/5... | {
"pile_set_name": "DM Mathematics"
} |
the common denominator of 19/112 and 1/206.
11536
Calculate the lowest common multiple of 166518 and 5.
832590
What is the lowest common multiple of 165 and 132?
660
Find the common denominator of -109/15435 and 16.
15435
Calculate the lowest common multiple of 4761 and 1587.
4761
What is the smallest common multiple o... | {
"pile_set_name": "DM Mathematics"
} |
100?
-94*n**2 + 199*n + 90
What is the b'th term of 10004859, 10004857, 10004855, 10004853, 10004851, 10004849?
-2*b + 10004861
What is the o'th term of -97994, -196426, -294858, -393290, -491722, -590154?
-98432*o + 438
What is the w'th term of 258265, 516551, 774861, 1033195?
12*w**2 + 258250*w + 3
What is the b'th t... | {
"pile_set_name": "DM Mathematics"
} |
s is divided by k?
12
Suppose -556 = 2*n + 1810. Let y = -556 - n. What is the remainder when y is divided by 105?
102
Let o = -237670 - -237691. Let a = -441 - -619. Suppose a = 3*p - 197. Calculate the remainder when p is divided by o.
20
Suppose 3*l - 1 - 11 = 0. Let k(o) = 100*o - 18. What is the remainder when k(... | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {c: 5, s: 1, p: 2, q: 3, b: 1}.
5/44
Two letters picked without replacement from spfru. What is prob of sequence ff?
0
What is prob of sequence ix when two letters picked without replacement from xjiaaiy?
1/21
Three letters picked without replacement from {j: 2, t: 2, a: 1}. What is prob of seq... | {
"pile_set_name": "DM Mathematics"
} |
Is 3 a factor of 481?
False
Is 23 a factor of 1473?
False
Is 6 a factor of 244?
False
Does 4 divide 392?
True
Is 641 a multiple of 14?
False
Is 13 a factor of 397?
False
Does 12 divide 1188?
True
Is 302 a factor of 27170?
False
Does 22 divide 1470?
False
Is 109 a factor of 29648?
True
Is 14 a factor of 1787?
False
Does... | {
"pile_set_name": "DM Mathematics"
} |
and 15?
105
Let w(k) = -102*k**2 - 3*k. Let g be w(4). Calculate the common denominator of g/(-16)*(-4)/18 and -77/2.
6
Let o = 35 + 19. Find the common denominator of (-449)/360 + 12/o and -43/10.
40
Let z = 6 + 2. Let j = -3 + 14. What is the lowest common multiple of j and z?
88
Let c be ((-24)/9)/((-427)/3). Let x... | {
"pile_set_name": "DM Mathematics"
} |
at is the closest to 1 in -2, 3, 6, -1/8?
-1/8
What is the nearest to -0.1 in 0.3, -0.3, -5, 15?
-0.3
What is the closest to -1/5 in -2, 2/9, 0, -0.3?
-0.3
What is the nearest to -1/4 in 0.2, 10, 3, -16?
0.2
What is the nearest to -5 in 4, 2/7, 0.3?
2/7
Which is the closest to 0.2? (a) -1/7 (b) 5 (c) 169
a
What is t... | {
"pile_set_name": "DM Mathematics"
} |
5
What is the value of 8/(0 - (-3)/((-9)/(-6)))?
4
100/15*(-6)/(-8)
5
What is the value of (-7 - (-93)/15)/(156/(-10))?
2/39
4*150/(-80)*(-4)/(-5)
-6
Evaluate (-144)/1188*(-6)/4.
2/11
Evaluate 2/5 + (-24)/90.
2/15
What is the value of 3 + (-23)/(-21) + (-100)/25?
2/21
Calculate (61/183)/(1/(-6) - 0).
-2
(3 - -1) + -4*(... | {
"pile_set_name": "DM Mathematics"
} |
12?
6
Calculate the remainder when 140 is divided by 67.
6
Calculate the remainder when 155 is divided by 34.
19
What is the remainder when 137 is divided by 24?
17
What is the remainder when 51 is divided by 12?
3
What is the remainder when 198 is divided by 68?
62
Calculate the remainder when 66 is divided by 22.
0
... | {
"pile_set_name": "DM Mathematics"
} |
5*x**2 - 5*x - 2. Suppose -5*q + 11 = -19. Let r be a(q). Give v(r).
-3
Let y(j) = j + 8. Suppose -7*v = -9*v - 12. Give y(v).
2
Let w(z) be the second derivative of 3*z + 0 - 1/6*z**4 + 0*z**2 + 1/2*z**3. What is w(3)?
-9
Suppose 3*b + 18 = -2*d, -3*d + 7 = -4*b - 0*b. Let f(n) = -n**3 - 3*n**2 - 4. Determine f(b).
12... | {
"pile_set_name": "DM Mathematics"
} |
11*m + 6*m**2 - 6 - m**3. What is the units digit of v(y)?
2
Let u(z) = -33*z + 3. What is the tens digit of u(-1)?
3
Suppose -10 = -5*i - 0. Suppose i*s + 3*r + 0*r = 31, 71 = 4*s + 3*r. What is the units digit of s?
0
Suppose -23 + 105 = 2*r. Suppose 6 = 5*b + r. Let t(p) = -p**3 - 7*p**2 - p - 6. What is the units d... | {
"pile_set_name": "DM Mathematics"
} |
utes are there between 2:46 PM and 4:28 PM?
102
How many minutes are there between 2:34 PM and 9:30 PM?
416
How many minutes are there between 12:28 AM and 7:56 AM?
448
How many minutes are there between 9:48 AM and 7:00 PM?
552
How many minutes are there between 5:11 AM and 5:59 AM?
48
How many minutes are there betwe... | {
"pile_set_name": "DM Mathematics"
} |
closest to -58? (a) 2/13 (b) 0.2 (c) m
c
Let h(b) = -2*b - 46. Let x be h(-25). What is the closest to -0.2 in x, -3/4, -9/4?
-3/4
Let g be 2358/(-7995) - 2/13. Let p = 2/41 + g. What is the closest to p in -3, -4, -5?
-3
Let z = 3.08 - 0.08. Let m = 11 + -13. What is the closest to 2/9 in -1, z, m?
-1
Let u = 4.3 -... | {
"pile_set_name": "DM Mathematics"
} |
9326 for t.
55
Solve -2548*g + 17039 = -19490 - 27171 for g.
25
Solve 775*p - 3003 + 464 = -1530 + 14491 for p.
20
Solve -168*r + 414*r - 687*r = 547*r - 37544 for r.
38
Solve -285*k = 393*k + 330*k - 915 + 8979 for k.
-8
Solve -718*a - 505*a - 110168 = 120*a - 171*a for a.
-94
Solve 35805 = 139*g + 40670 for g.
-35
So... | {
"pile_set_name": "DM Mathematics"
} |
s the z'th term of -2918, -4154, -6218, -9104, -12806, -17318, -22634, -28748?
z**3 - 420*z**2 + 17*z - 2516
What is the g'th term of 34, -141, -658, -1685, -3390, -5941, -9506, -14253?
-28*g**3 - 3*g**2 + 30*g + 35
What is the f'th term of -1167, -4164, -7165, -10170?
-2*f**2 - 2991*f + 1826
What is the j'th term of 6... | {
"pile_set_name": "DM Mathematics"
} |
Collect the terms in -3444*p - 398*p**2 + 6894*p - 5 + 5 - 3450*p.
-398*p**2
Collect the terms in 865 + 334 - 15499*a - 60 + 15501*a.
2*a + 1139
Collect the terms in -3390*h - 3904*h - 3 + 3 + 6714*h.
-580*h
Collect the terms in 2129*l - 21*l**2 + 2135*l - 4264*l + 1203*l**3.
1203*l**3 - 21*l**2
Collect the terms in -4... | {
"pile_set_name": "DM Mathematics"
} |
*24/(-5). Suppose x = 14*q + 6*q. Solve -7 = 2*w - 6*m + m, -q*w - 2*m = -22 for w.
4
Suppose 8*t - 70 - 90 = 0. Let j be ((-4)/5)/((-4)/10). Solve 4*a = -j*q + t, a - 8 = q - 3*a for q.
4
Let u(l) = 96*l - 3835. Let i be u(40). Let k = -1 - -4. Solve -c + 1 = 0, k*p + i*c - 2 = -0*p for p.
-1
Suppose -70*v + 192 = -22... | {
"pile_set_name": "DM Mathematics"
} |
3 + 8*k**3 - 7*k - 6 + 0. Calculate b(-4).
7
Let i(c) = c**2 - c - 1. Let w be i(3). Let s(u) = u - 7. Let p be s(w). Let h(k) = k**3 - 2*k. Determine h(p).
-4
Suppose 4*m - 4*f = -m + 7, 4*f = -5*m + 23. Let a(s) = -s**3 + 3*s**2 + 1. Determine a(m).
1
Suppose 0 = -2*p + 19 - 23. Let b(i) = 4*i**2 - 1. What is b(p)?
1... | {
"pile_set_name": "DM Mathematics"
} |
). Let d = t - 237. What is the hundreds digit of d?
2
Suppose 14*p - 18*p = -20. Suppose -7*n + p = -6*n. Suppose -4*j + 16 = 0, -n*v - j + 396 = 3*j. What is the units digit of v?
6
Let g be (1*(-6)/15)/((-3)/(-90)). What is the hundreds digit of (-24)/(-144) + (-5302)/g?
4
Suppose -12*c + 65744 + 97492 = 0. What is ... | {
"pile_set_name": "DM Mathematics"
} |
ivative of p**3/3 - 2*p**2 + 4*p - 1. Let t be f(5). Let k(q) = q + 34. Calculate the remainder when 124 is divided by k(t).
38
Suppose 3*z + 63 - 205 = -k, -2*k = -3*z - 302. What is the remainder when 454 is divided by k?
10
What is the remainder when 5656 is divided by 2/(-11) - 12245520/(-10835)?
6
Let v = 2886 - -... | {
"pile_set_name": "DM Mathematics"
} |
Express 1462*y - 8650 - 8654 + 17304 as q*y + z and give q.
1462
Express (5*l - 4 - 7 - 3)*((-8 + 3 + 2)*(-5*l**2 - 2*l**2 + 5*l**2) + (-2*l + 2*l + 2*l)*(-7*l + 2*l + 3*l)) as k + t*l**3 + w*l + q*l**2 and give q.
-28
Express -1051*h**2 + 3410*h**2 - 2*h**3 - 2*h + 7159*h**2 + 2305*h**2 as b*h**2 + o*h**3 + k + z*h an... | {
"pile_set_name": "DM Mathematics"
} |
95). Solve -4*m = -5*m + p*d + 27, 5*d = -m - 23 for m.
2
Suppose 0 = 2*y + y - 54. Let s = -2 + y. Solve -h = -4*q + 2*q - 8, h + s = -4*q for q.
-4
Let o = 1 + 4. Let b(y) = y - 3. Let d be b(o). Solve d*m = s - 2, -3*s - 6*m = -4*m - 6 for s.
2
Let a(h) = h + 7. Let o be a(-5). Suppose -r = -3*t - 77, t + 32 - 8 = o... | {
"pile_set_name": "DM Mathematics"
} |
*(-18*(-4)/216)/(-1)?
26
What is the value of 44025/(-7044)*(-12)/(-45)?
-5/3
What is (15 - (-1258)/(-85)) + (-68)/(-6) + 363/(-33)?
8/15
What is ((-8)/56*7 - (-12)/2) + 18156/(-3672)?
1/18
(136/19788*97)/(6/(-1215)*-3)
45
Calculate ((-658)/42 - -16)/(39/(-54)*-2).
3/13
(59/(-25))/(-1479*119/(-30345)) + (-1)/(-5)
-6/29... | {
"pile_set_name": "DM Mathematics"
} |
mainder when 12446 is divided by 249.
245
Calculate the remainder when 66184 is divided by 33010.
164
What is the remainder when 7939 is divided by 991?
11
What is the remainder when 4972 is divided by 568?
428
Calculate the remainder when 54622 is divided by 241.
156
What is the remainder when 3110 is divided by 278?
... | {
"pile_set_name": "DM Mathematics"
} |
69
Sort -11, 3, -3, -20, 96, 5, 0.
-20, -11, -3, 0, 3, 5, 96
Sort -7, 715, 584, 2, -4, 5, 1 in ascending order.
-7, -4, 1, 2, 5, 584, 715
Put 28, 4/9, 3, 0.3, -2/11, 10 in increasing order.
-2/11, 0.3, 4/9, 3, 10, 28
Sort 1, -2/649, 15, 2, -1, 2.6 in ascending order.
-1, -2/649, 1, 2, 2.6, 15
Sort 5, -13, -1, 712, 4, -... | {
"pile_set_name": "DM Mathematics"
} |
e form l*c**2 + p*c + r*c**3 + s and give l.
1
Express (-3 + 3 - 4*n)*(52 - 544 + 165 - 190 - 147) in the form t*n + l and give l.
0
Express -59*s**4 + s + 1 - 26*s**2 + 27*s**2 - s + 10*s**3 + 64*s**4 as v*s**3 + z*s**4 + k + y*s**2 + f*s and give v.
10
Express 327*r**4 - 6*r + 2*r - 3 - 335*r**4 - r**3 in the form b ... | {
"pile_set_name": "DM Mathematics"
} |
y + 15981
What is the d'th term of -147, -565, -1243, -2193, -3427, -4957, -6795, -8953?
-2*d**3 - 118*d**2 - 50*d + 23
What is the w'th term of -147587969, -147587967, -147587965, -147587963?
2*w - 147587971
What is the n'th term of 106663, 213140, 319617, 426094?
106477*n + 186
What is the i'th term of 26240, 104763,... | {
"pile_set_name": "DM Mathematics"
} |
4. Let j be v(-4). Is (j/12)/((-1)/(-75)) a prime number?
False
Let r(s) = s**2 - 2*s - 4. Let x be r(3). Let p = 3 + x. Is p composite?
False
Suppose 4*o + 5*u = 7, 0*u = -3*o - 2*u + 7. Let q = o + 16. Is q composite?
False
Suppose 5*s = 2*l - 8203, 7*l - 2*s - 16430 = 3*l. Is l prime?
False
Suppose 3*p - 271 = -5*x ... | {
"pile_set_name": "DM Mathematics"
} |
-39 (d) 1/6 (e) -0.3
b
What is the fourth biggest value in -5, 323, -12, -7/5?
-12
Which is the fifth smallest value? (a) -2 (b) 0.6 (c) -2/19 (d) -5 (e) -0.05 (f) -5/14
e
What is the second smallest value in -0.8, -8792, 1/8?
-0.8
Which is the smallest value? (a) 15 (b) 17 (c) 0.07
c
What is the biggest val... | {
"pile_set_name": "DM Mathematics"
} |
6.85
Convert 4944.764 tonnes to kilograms.
4944764
How many meters are there in twenty-one fifths of a kilometer?
4200
What is 8360.755km in meters?
8360755
Convert 121130.58ns to minutes.
0.000002018843
How many millilitres are there in fifteen quarters of a litre?
3750
How many micrometers are there in 52/5 of a mill... | {
"pile_set_name": "DM Mathematics"
} |
. Let p = s + l. Calculate the remainder when p is divided by 14.
7
Let k = 13262 - 11422. What is the remainder when k is divided by 905?
30
Suppose -8*d = -11*d + 12. Suppose -96 = -d*s - u - 8, -3*u + 96 = 4*s. Suppose 9*k = 3*k + 228. Calculate the remainder when k is divided by s.
17
Let r(i) be the second derivat... | {
"pile_set_name": "DM Mathematics"
} |
{h: 2, j: 10, p: 1, m: 5, s: 2}.
1/684
Two letters picked without replacement from kyvbvyliykkk. What is prob of sequence vy?
1/22
Four letters picked without replacement from {k: 3, p: 1, z: 12}. What is prob of sequence kkpk?
1/7280
Four letters picked without replacement from caaaacmcaaavaaccc. Give prob of sequence... | {
"pile_set_name": "DM Mathematics"
} |
) = -3*l**3 - 3*l**2 - 2*l. Let g be 3/15 + (-22)/10. Let f be -2 - (-1)/g*6. Let b(m) = 7*m**3 + 7*m**2 + 5*m. Let q(i) = f*c(i) - 2*b(i). Factor q(p).
p**2*(p + 1)
Let s(r) = -17*r**3 + 7*r**2 - r + 5. Let v(o) = o**3 - 1. Let z(j) = -s(j) - 5*v(j). Suppose z(x) = 0. Calculate x.
0, 1/4, 1/3
Let p be -5*5/(20/(-4)). ... | {
"pile_set_name": "DM Mathematics"
} |
s.
-2563
Let v(y) be the second derivative of 0*y**6 - 181/12*y**4 + 0*y**2 + 0 + 1/42*y**7 - 87*y + 0*y**3 - 2/5*y**5. Find the third derivative of v(r) wrt r.
60*r**2 - 48
What is the third derivative of -14*m**5 + 97*m - 1661*m**4 + 3324*m**4 + 26*m**6 - 2*m**2 - 1661*m**4 + 313*m + 5 wrt m?
3120*m**3 - 840*m**2 + 4... | {
"pile_set_name": "DM Mathematics"
} |
-28972031*b - 7
What is the w'th term of -2035491, -4070982, -6106473, -8141964, -10177455?
-2035491*w
What is the u'th term of 42732, 85655, 128574, 171489?
-2*u**2 + 42929*u - 195
What is the t'th term of -2643204, -2643205, -2643206, -2643207, -2643208, -2643209?
-t - 2643203
What is the d'th term of -485082, -48823... | {
"pile_set_name": "DM Mathematics"
} |
p - 8 = 0. Calculate the highest common factor of 11 and s.
1
Let s be 42/15 - 8/10. Suppose -s*h - 66 = -88. What is the highest common divisor of 55 and h?
11
Let m(y) = -10*y - 6. Let h be m(-4). Let o = 108 - h. Suppose o = 5*s - 21. Calculate the highest common divisor of s and 19.
19
Suppose 0 = s + 2 - 1, -11 = ... | {
"pile_set_name": "DM Mathematics"
} |
- 192, 4*t + 108 = g + 7*t. List the prime factors of g.
3, 11
Let x(v) = -v**2 - 74*v - 595. What are the prime factors of x(-30)?
5, 29
Suppose 5*w = 2*n - 1249, 11*w = -4*n + 14*w + 2533. Let f = 1534 - n. List the prime factors of f.
3, 13, 23
Suppose -d = -5*t + 183, 3*d = t - 0*t - 31. Let f be (-4)/10 + t/5. Su... | {
"pile_set_name": "DM Mathematics"
} |
85900.
273132*z**3
Find the second derivative of -5277*d*y**4 - 102721*d*y - 2*d + 63*y**5 wrt y.
-63324*d*y**2 + 1260*y**3
What is the third derivative of 82253*c**4 - 2*c**2 - c - 2338 wrt c?
1974072*c
What is the second derivative of -5464*q**4 - 2*q**3 - 22769*q?
-65568*q**2 - 12*q
What is the first derivative of -... | {
"pile_set_name": "DM Mathematics"
} |
ppose 7*u - 42 = -0*u. Is (u - 2) + (3037 - 0) a prime number?
True
Suppose -168*k - 21 = -175*k. Suppose k*w - 6051 = 2*m, -11*w - 8070 = -15*w + 2*m. Is w prime?
False
Let n = 33428 - 13375. Is n composite?
True
Let j(k) = -k**3 + 2*k**2 - 5*k - 25. Suppose 366 = -26*y + 54. Is j(y) a composite number?
True
Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
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