text stringlengths 270 8.19k | meta dict |
|---|---|
ve prob of picking 1 v and 1 s.
1/3
Four letters picked without replacement from ttwwtfmmwtttwtmmwm. What is prob of picking 2 t, 1 w, and 1 m?
35/204
Calculate prob of picking 3 v when three letters picked without replacement from {r: 6, v: 4}.
1/30
Calculate prob of picking 2 z when two letters picked without replace... | {
"pile_set_name": "DM Mathematics"
} |
rs?
0.000000882774
What is 0.9313036 decades in millennia?
0.009313036
How many grams are there in 993.8172kg?
993817.2
What is 21/5 of a gram in milligrams?
4200
What is 1/5 of a minute in milliseconds?
12000
How many seconds are there in 92506.62ms?
92.50662
What is 18/5 of a litre in millilitres?
3600
What is thirty... | {
"pile_set_name": "DM Mathematics"
} |
y) be the first derivative of y**2 - 4*y - 2. Let b be h(3). Suppose b*v - v = 4. What is the greatest common factor of 20 and v?
4
Let w be (9 + 3)*(21/(-4))/(-7). Let b be 48/(-5) - (-4)/(-10). Let v = b + 19. What is the greatest common divisor of w and v?
9
Let y be (4/12)/(-3*2/(-180)). What is the highest common ... | {
"pile_set_name": "DM Mathematics"
} |
What is eight thirds of a week in minutes?
26880
What is eleven quarters of a litre in millilitres?
2750
How many years are there in twenty-nine fifths of a millennium?
5800
What is 3/40 of a day in seconds?
6480
Convert 6.550707 micrograms to nanograms.
6550.707
What is fourty-two fifths of a micrometer in nanometers?... | {
"pile_set_name": "DM Mathematics"
} |
at is the square root of 137503060 to the nearest integer?
11726
What is the tenth root of 78622272 to the nearest integer?
6
What is 185136186 to the power of 1/2, to the nearest integer?
13606
What is the fourth root of 1331720637 to the nearest integer?
191
What is the cube root of 28578538 to the nearest integer?
3... | {
"pile_set_name": "DM Mathematics"
} |
e factors of 139936.
2, 4373
What are the prime factors of 7914980?
2, 5, 395749
List the prime factors of 9770417.
43, 227219
List the prime factors of 5526770.
2, 5, 552677
List the prime factors of 2488586.
2, 1244293
What are the prime factors of 6572403?
3, 31, 23557
List the prime factors of 4087194.
2, 3, 727, 9... | {
"pile_set_name": "DM Mathematics"
} |
d derivative of -t**5/180 - t**4/12 - t**3/2 - 2*t**2. Factor n(d).
-(d + 3)**2/3
Let n(b) be the second derivative of b**5/50 + 12*b. Factor n(w).
2*w**3/5
Let u(f) be the third derivative of -5*f**6/56 + f**4/14 + 8*f**2. Factor u(c).
-3*c*(5*c - 2)*(5*c + 2)/7
Let g(p) be the third derivative of p**8/84 - 2*p**7/35 ... | {
"pile_set_name": "DM Mathematics"
} |
9
What is the units digit of 14189?
9
What is the hundreds digit of 741?
7
What is the hundreds digit of 273?
2
What is the tens digit of 17368?
6
What is the units digit of 6882?
2
What is the tens digit of 928?
2
What is the thousands digit of 18550?
8
What is the hundreds digit of 999?
9
What is the tens digit of 9... | {
"pile_set_name": "DM Mathematics"
} |
, -0.4, -8, -65
Let z = -1195 + 1506. Put z, 1, 5, 2, -2 in ascending order.
-2, 1, 2, 5, z
Let f = -190348 - -190343. Let r = 55 + -39. Put f, r, 5 in descending order.
r, 5, f
Let u be ((-140)/(-25))/7*-5 + (-1516)/(-4). Put -2, u, -3 in increasing order.
-3, -2, u
Let j(a) = -2*a - 7. Let t be j(-6). Let k = -38398 ... | {
"pile_set_name": "DM Mathematics"
} |
, g + 158 = -5*t + 204 for t.
10
Solve 2*g + 2*a - 10 = 0, -2*g = 4*a - 8 - 12 for g.
0
Solve 2*f - 12 = h - 14, 3*f + 3 = -4*h for h.
0
Solve w = 4*a - 14, -9*a + 11*a + 6 = 7*w for a.
4
Solve 3*c + 26*m - 28*m + 15 = 0, -25 = 5*c - 7*m for c.
-5
Solve -5*i + 7 = s, 2*s + 296*i = 301*i - 16 for s.
-3
Solve -s - 150 + ... | {
"pile_set_name": "DM Mathematics"
} |
4. Let x be r(-5). Let b = x - -15. Find the third derivative of 5*y**6 + 0*y**2 - 2*y**b - 4*y**2 wrt y.
360*y**3
Let d(a) be the first derivative of -a**6/6 + 5*a**2/2 - 4. Find the second derivative of d(c) wrt c.
-20*c**3
Let s(b) be the second derivative of b**8/112 + b**4/24 - 2*b**2 + 2*b. Let o(j) be the first... | {
"pile_set_name": "DM Mathematics"
} |
ve of -103051*k**3*l**3 - 9*k**2*l**3 - 516*k**2*l - k**2 - 4*l**3 wrt k?
-618306*l**3
What is the third derivative of 123381*t**4 + 80*t**2 + 487?
2961144*t
What is the derivative of 33*b*q + 453664*b - 24*q**3 - 30*q**2 wrt q?
33*b - 72*q**2 - 60*q
Find the first derivative of 50*f**4 - 373*f**2 - 106726.
200*f**3 - ... | {
"pile_set_name": "DM Mathematics"
} |
- -3 - (-95 - 0). Suppose w + u = 5*z - 0*w, 0 = 2*z - 3*w - q. What are the prime factors of z?
2, 5
Let i(w) = 3*w - 1. Let l(h) = -h. Let x(f) = -i(f) - l(f). What are the prime factors of x(-5)?
11
Let j(y) = -y**3 + 16*y**2 + 9*y + 14. List the prime factors of j(16).
2, 79
Let u be -14 + -4*2/(-4). Let x = 26 + ... | {
"pile_set_name": "DM Mathematics"
} |
6*t**2.
55*t**2
Collect the terms in -18150*c - 3*c**3 + c**3 + 5 + 18150*c.
-2*c**3 + 5
Collect the terms in -17*n - 47*n - 17*n.
-81*n
Collect the terms in -2669*n + 5340*n + 13*n**3 + 0*n**2 - 2671*n + 0*n**2.
13*n**3
Collect the terms in 67*g**3 + 65*g**3 - 201*g**3 + 59*g**3.
-10*g**3
Collect the terms in -271*t ... | {
"pile_set_name": "DM Mathematics"
} |
lculate the remainder when 44 is divided by k(7).
14
Let j(w) = 2*w**2 + 5*w + 13. What is the remainder when j(-6) is divided by 29?
26
Suppose -7*a + 96 = -a. What is the remainder when 63 is divided by a?
15
Calculate the remainder when 167 is divided by (-4 - -1)/((-3)/34).
31
Suppose 11*f - 10 = 243. What is the r... | {
"pile_set_name": "DM Mathematics"
} |
e d(8). Let p be 0 - (f/(-2) - 495). Suppose -5*j + 2*j = 2*l - p, -4*l = -3*j - 941. Is l a composite number?
False
Is (1561544/12)/(56/84) a composite number?
False
Let q(a) be the second derivative of 3*a**3/2 - 7*a**2/2 + 4*a. Let x(b) = -8*b + 7. Let i(p) = 2*q(p) + 3*x(p). Is i(-5) prime?
True
Let k be (-12)/(-48... | {
"pile_set_name": "DM Mathematics"
} |
Which is the closest to r? (a) -2/13 (b) g (c) -4/5
a
Let u = -172 - -177. Let k = -16.86 - -17. Let p = -0.04 + k. Which is the closest to p? (a) 0.1 (b) u (c) 1
a
Let w = 63.01863 - 0.01863. What is the closest to -2/5 in -6/11, -0.1, w?
-6/11
Let u = 8189 + -8194. Let w = 0.034 - -72.966. Which is the closest... | {
"pile_set_name": "DM Mathematics"
} |
rms in 7*o + 6*o + 32*o**2 - 11*o + o**2.
33*o**2 + 2*o
Collect the terms in 6 + 0*i**2 - 15*i**3 + 0*i**2 + 2.
-15*i**3 + 8
Collect the terms in 3*k**3 - 11*k**3 + 9*k**3.
k**3
Collect the terms in -2 + 1 + 35*t**3 + 1.
35*t**3
Collect the terms in -5*x + 25 + 17 + 0*x + 4*x.
-x + 42
Collect the terms in 15*f**2 + 8*f... | {
"pile_set_name": "DM Mathematics"
} |
0 = -4*h + f + 10. Suppose -4*q + y - 2*y = -340, h*y = -4*q + 340. Is q a composite number?
True
Let u(k) = -3*k**2 + 10*k + 3. Let t(p) = 4*p**2 - 10*p - 3. Let s(z) = 2*t(z) + 3*u(z). Let y(h) = 4*h. Let r be y(2). Is s(r) prime?
True
Let u be ((-8)/12)/((-4)/(-294)). Suppose 5*y - 3*y + 36 = 0. Let i = y - u. Is i... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*g + 12 for g.
-3
Suppose -55584*n = -55589*n + 10. Suppose 4 + 2 = 3*v. Solve 8 = n*z - v for z.
5
Let c(m) = -3*m**3 - 168*m**2 + 219. Let s be c(-56). Solve s*u - 214*u = 10 for u.
2
Let u(b) = 2*b**2 + 853*b + 1705. Let j be u(-2). Let p = 10 - 4. Solve -j*y - p = -9*y for y.
3
Let d be (36/(-9) + -5)/(-6 + 3).... | {
"pile_set_name": "DM Mathematics"
} |
, z - 11 = -2*r - 0*z. Find the first derivative of -9 + 5*t - 28*t**2 + 0 - r*t wrt t.
-56*t
Let c(f) be the third derivative of -355*f**4 - 415*f**3/3 - 31*f**2 - 28. What is the first derivative of c(v) wrt v?
-8520
Let k(r) = -2*r - 4. Let s be k(-3). Suppose -p = s - 0, 0 = -5*d - 5*p + 370. What is the second der... | {
"pile_set_name": "DM Mathematics"
} |
1?
3
What is the tens digit of 834?
3
What is the hundreds digit of 24925?
9
What is the tens digit of 9107?
0
What is the thousands digit of 4276?
4
What is the ten thousands digit of 10329?
1
What is the units digit of 10462?
2
What is the ten thousands digit of 22518?
2
What is the thousands digit of 110802?
0
What ... | {
"pile_set_name": "DM Mathematics"
} |
015, 0.1, 1
Sort 0.7, 0.5, 2, -5.
-5, 0.5, 0.7, 2
Sort 0, -6, 3, -3.
-6, -3, 0, 3
Sort 0.5, -3/8, -1, -0.05, 11 in descending order.
11, 0.5, -0.05, -3/8, -1
Put 30, 1/18, 0.7 in ascending order.
1/18, 0.7, 30
Put -1, -0.2, 2/19, 1.1, 2 in decreasing order.
2, 1.1, 2/19, -0.2, -1
Put 3, -58, -1, -10 in decreasing order... | {
"pile_set_name": "DM Mathematics"
} |
*k - 2 + (3 + 4 - 6)*(-4*k + 2*k + 0*k))*(-20*k + 25*k - 19*k) to the form g*k**2 + r*k + z and give g.
70
Express 9 + 5*t + 3*t + 6*t - 22*t in the form k*t + i and give k.
-8
Express (-4 + 0 + 2)*(-m + m - m) + (-3*m - m + 2*m)*(4 - 10 - 12) as y + s*m and give s.
38
Express (2 + 3 - 6)*(0 + 2 + 0)*(m - 5*m - 5*m)*(0... | {
"pile_set_name": "DM Mathematics"
} |
cending order.
-3, n, 1/5, 1/4
Let z = 0.15 - -0.25. Sort 0.09, 2/13, z in decreasing order.
z, 2/13, 0.09
Let c be (3*1)/((-3)/(-5)). Suppose -2*q = -4*u - 22, 7*u = 2*u - 15. Let o(p) = -p**2 + 7*p - 7. Let h be o(q). Sort c, h, -5 in decreasing order.
c, h, -5
Suppose -4*k - 2*y + 114 = 0, -3*k + 79 = -0*k - 5*y. Le... | {
"pile_set_name": "DM Mathematics"
} |
- 6. Let l be v(-6). What is m(l)?
6
Let t(y) = y**2 - 3. Let l(x) = -3*x**2 + 8. Let d(j) = -3*l(j) - 8*t(j). Let w(s) = -s**2 - 3*s - 2. Let z = 1 + -4. Let p be w(z). Give d(p).
4
Suppose -a - 3 = -6. Let p = -8 + 1. Let f(t) = -4*t + 9. Let z(o) = -9*o + 17. Let u(g) = a*z(g) + p*f(g). Determine u(6).
-6
Let o(l) ... | {
"pile_set_name": "DM Mathematics"
} |
4.
-21.96232
Product of 0.021 and 18.03.
0.37863
0.5 * 97497
48748.5
Multiply -12.776 and -0.3.
3.8328
Product of -110.8 and 0.1698.
-18.81384
-0.69 times 493
-340.17
What is the product of -0.5 and -259965?
129982.5
4818 times 193
929874
0.11942*-3
-0.35826
What is 40712 times 2?
81424
Calculate 1322*-0.82.
-1084.04
C... | {
"pile_set_name": "DM Mathematics"
} |
o 2/3 in g, h, 5?
h
Let f(q) = -q**3 - 8*q**2 - 5. Let l be f(-8). Let d = 3 - 0. Let t be -19*38/(-361) - 3/(6/4). Which is the closest to t? (a) l (b) d (c) 0
c
Suppose 3*r = 5*d - 4*d - 38, 4*r = -d - 60. Let z = r - -11. Suppose 3*s + 3*m = -9, s = 4*s - 4*m - 26. Which is the closest to s? (a) -2/11 (b) z (c... | {
"pile_set_name": "DM Mathematics"
} |
. Let q(s) = -k*s - 22 + 35*s - 2 - 3. What is the tens digit of q(-13)?
0
Suppose -286320 = -6*j - 1362. What is the units digit of (-10)/25 + j/45?
5
Let b = -91 + 104. Suppose -b*s + 4*s + 3375 = 0. What is the hundreds digit of s?
3
What is the hundreds digit of (-209148)/(-27) + (-76)/342?
7
Let a(b) = -4783*b - 2... | {
"pile_set_name": "DM Mathematics"
} |
of -c**5/480 + c**4/192 + c**3/24 + 53*c**2. Factor f(k).
-(k - 2)*(k + 1)/8
Let u(c) be the second derivative of -6/5*c**2 + 0 + 19*c + 2/5*c**4 + 1/10*c**5 - 11/15*c**3. Factor u(o).
2*(o - 1)*(o + 3)*(5*o + 2)/5
Let a(k) be the first derivative of 1/15*k**5 - 13 + 0*k**2 + 2*k**3 + 2/3*k**4 - 9*k. Find f such that a... | {
"pile_set_name": "DM Mathematics"
} |
/693)
Simplify ((y**(2/7))**(-7/4)*((y/y**(-2/9))/y)/(y/(y**3/y)))/((y/(y/(y*(y**(-2/19)/y*y)/y))*y)/y**(-1/12)*y**(-3/8)*y*y**3) assuming y is positive.
y**(-5309/1368)
Simplify (s**(6/11)/(s**(-6/7)/s))/(s/s**3*s/(s**(-2/19)*s))*(s**(1/2)*s)**(2/19)/(s**(-2/15)*s*s/s**4) assuming s is positive.
s**(144586/21945)
Simp... | {
"pile_set_name": "DM Mathematics"
} |
oes 118 divide 2015440?
True
Does 274 divide 8616478?
True
Does 2 divide 1256278?
True
Is 42 a factor of 754800?
False
Is 440568 a multiple of 8?
True
Is 10 a factor of 26577?
False
Does 59 divide 234513?
False
Is 7 a factor of 65519?
False
Is 21 a factor of 65455?
False
Is 465 a factor of 11012595?
True
Does 105 divid... | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from nknkknnnkknkk. What is prob of sequence knnk?
21/286
Four letters picked without replacement from {r: 3, b: 5, m: 1, n: 1, l: 2, p: 3}. What is prob of sequence bbbn?
1/546
What is prob of sequence qmqq when four letters picked without replacement from qnqqmnqnqnqqnmnqm?
3/170
Two letters pic... | {
"pile_set_name": "DM Mathematics"
} |
, d in decreasing order.
d, 1, -3
Suppose 0 = -5*x + 18 - 78. Let t be (-15)/(-10)*32/x. Suppose -m - 4*b - 7 = 0, 4*m + 3*b = 2*b + 17. Put -2, t, m in ascending order.
t, -2, m
Let v be (-2)/(-4)*6 + 1. Let f(s) = s**2 - s - 1. Let o be f(-1). Let m = o - 3. Put 2, v, m in decreasing order.
v, 2, m
Let o = 302.8 - 30... | {
"pile_set_name": "DM Mathematics"
} |
or -5*l**2 - 970*l + 2955.
-5*(l - 3)*(l + 197)
Factor -2*v**3/7 - 228*v**2/7 - 450*v/7 - 32.
-2*(v + 1)**2*(v + 112)/7
Factor 3376*g**4 - 121484*g**3 + 1456560*g**2 - 5811264*g - 89856.
4*(g - 12)**3*(844*g + 13)
What is t in -15*t**5 - 609295*t**4 - 6186019665*t**3 + 26814886815*t**2 - 26816918000*t + 6188660160 = 0?... | {
"pile_set_name": "DM Mathematics"
} |
)/(6/(-40)). Calculate the highest common factor of 32 and x.
8
Let p(d) = 5*d - 11. Let x be p(3). Suppose -4*j = 5*g - 179, j + j = -x*g + 142. What is the greatest common divisor of 14 and g?
7
Let x be (3/(-9))/((-7)/2688). Calculate the greatest common divisor of x and 8.
8
Let q(d) = 24*d - 919. Let w be q(41). W... | {
"pile_set_name": "DM Mathematics"
} |
- 328. Is 42 a factor of t?
False
Suppose 5*u - 8*u + 24 = 0. Let f = u + -5. Does 12 divide 1*-2 - (f - 41)?
True
Suppose -2*v = -55 - 341. Suppose 7*k - v = 4*k. Does 22 divide k?
True
Suppose 0*t = -t + 1972. Does 116 divide t?
True
Let z(i) = 46 - 23*i - 44 - 11*i. Is z(-1) a multiple of 9?
True
Let g(i) = -27*i - ... | {
"pile_set_name": "DM Mathematics"
} |
Calculate 4*-0.9.
-3.6
22041*-0.1
-2204.1
Calculate 0*-42.
0
What is the product of -0.81 and 0.23?
-0.1863
Work out 4 * -285.
-1140
-296*-15
4440
Product of 14 and 0.7.
9.8
3*-66
-198
3*0.092
0.276
What is 0.08 times -25?
-2
Product of -4 and -0.24.
0.96
Product of -0.19 and 100.
-19
8 times -4
-32
Calculate 1.2*0.05.... | {
"pile_set_name": "DM Mathematics"
} |
nds?
13250
How many nanometers are there in 5.309695m?
5309695000
How many micrograms are there in 4.603989 grams?
4603989
What is 285396.4 millilitres in litres?
285.3964
Convert 7.47587kg to grams.
7475.87
What is 83526.32 tonnes in kilograms?
83526320
How many micrometers are there in five quarters of a centimeter?
... | {
"pile_set_name": "DM Mathematics"
} |
out replacement from {f: 2, d: 1, q: 4, j: 4, k: 2, r: 1}.
1/546
What is prob of sequence xx when two letters picked without replacement from bbbxxxbbbb?
1/15
Four letters picked without replacement from {o: 2, d: 10, m: 6}. What is prob of sequence mmmm?
1/204
Calculate prob of sequence he when two letters picked with... | {
"pile_set_name": "DM Mathematics"
} |
Which is smaller: d or 1/3?
d
Let g = 412.81 + -409. Let n = -0.19 - g. Is n greater than or equal to -0.2?
False
Suppose 0 = 2*m, -5*m + 3 + 7 = 5*c. Let a = c - 4. Let g be (-1)/(a - (-3 + 2)). Which is greater: 6/11 or g?
g
Suppose g - 5 = 0, -4*w + 2*w + 5 = g. Suppose -c = -w*c - 3. Suppose 5*u = -5*v + 20, 6 - 1... | {
"pile_set_name": "DM Mathematics"
} |
+ j*p + 2*p = 2. Suppose 5*f - 103 = 4*z, 2*z = -0 - c. Is f a prime number?
True
Suppose 531 + 277 = -2*h. Let r = 733 + h. Is r composite?
True
Let k = -24 + 64. Let f be (k/(-12))/(4/(-6)). Suppose 2*v = -4*b + 28, 2*v + 32 = f*b + 3*v. Is b composite?
True
Suppose -3*t + 1009 = -13*v + 14*v, -t - 5*v = -327. Is t a... | {
"pile_set_name": "DM Mathematics"
} |
2
Calculate -2*(-1)/(((-9)/6)/(-3)).
4
What is the value of (-4)/(8/16*-2)?
4
What is 10/(2*2/2)?
5
((-4)/(-224)*4)/((-20)/(-35))
1/8
Calculate (5/((-75)/(-4))*-3)/2.
-2/5
Calculate 51/34*8*(-2)/(-12).
2
Evaluate 8/((-40)/(-15))*4/(-3).
-4
((-7)/21*-9)/((-1)/(-1))
3
20*(-6)/36*6/(-8)
5/2
4*(-5)/15*(-18)/(-16)
-3/2
0/(-... | {
"pile_set_name": "DM Mathematics"
} |
2*c**2*u**2*x - 42*f*u*x - 2*f*u - 2*u wrt x.
-7364*c**2*f*u - 62*c**2*u**2
What is the first derivative of -1225779*i**2 - 2576613 wrt i?
-2451558*i
What is the second derivative of -234*k**2*u**2 + 105198*k**2*u - k**2 - 2*k - u**5 - 418*u**2 wrt u?
-468*k**2 - 20*u**3 - 836
What is the derivative of 30*c*x + 210412... | {
"pile_set_name": "DM Mathematics"
} |
5 divide 83939?
False
Does 2 divide 338711?
False
Does 76 divide 9118860?
True
Does 635 divide 7807006?
False
Is 461760 a multiple of 16?
True
Is 176115 a multiple of 59?
True
Is 90 a factor of 28104?
False
Is 18 a factor of 549246?
False
Does 143 divide 124839?
True
Is 872372 a multiple of 34?
True
Is 6 a factor of 10... | {
"pile_set_name": "DM Mathematics"
} |
**2 + c. Let v be w(3). What is the biggest value in -1/8, v, b?
-1/8
Let y = 0.04 - -4.96. Let g = 7 - y. Which is the second biggest value? (a) g (b) 0.2 (c) -2/15
b
Let u(t) = t**3 + 14*t**2 - t - 16. Let w be u(-14). Which is the third biggest value? (a) 4 (b) w (c) -0.4
b
Let i = 112.41 - 121.3. Let r = i - ... | {
"pile_set_name": "DM Mathematics"
} |
What is the value of -21 + 47 + -21 + 17?
22
Calculate (18 - (-3 - -5)) + (15 - -6 - 21).
16
Evaluate -4 + 1 + -7 - -13 - (17 + 1).
-15
Evaluate 29 + (10 - 15) - 12.
12
Evaluate 33 + -7 - (0 - -12).
14
Evaluate (-1 - 4 - 0) + (-2 - 3).
-10
Evaluate 1 + (-3 - -1) + -7 + 28 + -28.
-8
Evaluate 14 - (12 - (-35 + 26)).
-7
E... | {
"pile_set_name": "DM Mathematics"
} |
and 297522.
18
What is the greatest common factor of 56 and 18949?
7
What is the greatest common factor of 10848 and 433242?
678
What is the highest common divisor of 6432 and 35912?
536
Calculate the greatest common divisor of 8154 and 378.
54
Calculate the highest common factor of 382140 and 8580.
660
What is the hig... | {
"pile_set_name": "DM Mathematics"
} |
4*j + 7. Which is smaller: j or -3/7?
-3/7
Let c(t) = t**3 - 6*t**2 - t - 8. Let y be c(6). Is -15 less than y?
True
Let w = 21 - 20.9. Is w less than -13?
False
Let t(s) = -5*s**2 - s + 1. Let m be t(1). Let d(f) = 0*f**2 - 1 + 3*f + 2*f + f**2. Let z be d(m). Which is smaller: z or -2?
-2
Let t be 68/(-10) + (-4)/20.... | {
"pile_set_name": "DM Mathematics"
} |
6, 0 = 2*v - 3*p - 35. What is the tens digit of v?
2
Let n(o) = 22*o - 3. What is the units digit of n(2)?
1
Let s = -104 - -185. What is the units digit of s?
1
Suppose -9 = 5*c - 29. Let s = c + 3. What is the units digit of s?
7
Let t(n) be the second derivative of n**4/6 - n**3 + 3*n**2/2 - n. What is the tens di... | {
"pile_set_name": "DM Mathematics"
} |
14 = -s for c.
4
Let r(o) = o - 1. Let c(m) = 4*m - 6. Let f(t) = -c(t) + 3*r(t). Let k be f(0). Suppose 16*s - 14 - 66 = 0. Solve -2*u + k = -s for u.
4
Let o(z) = z**3 - 35*z**2 + 35*z - 17. Let m be o(34). Solve 24*w - 41 = -m*w for w.
1
Let l(f) = -f - 19. Let m be l(-15). Let p be m*2*7/(5 - 12). Solve 5*u = 3 - ... | {
"pile_set_name": "DM Mathematics"
} |
order.
-9, -3, 0, 11
Sort 0, 499, -2 in ascending order.
-2, 0, 499
Sort 4, -9, -1, -4, -5.
-9, -5, -4, -1, 4
Sort -4, -412, 2.
-412, -4, 2
Put 5, -185, 2/11, 1/6 in ascending order.
-185, 1/6, 2/11, 5
Sort 1.3, 7/6, -2/17.
-2/17, 7/6, 1.3
Sort 0, -1, 46, -10 in ascending order.
-10, -1, 0, 46
Sort 2, 1/6, 0.09, 6/7 in... | {
"pile_set_name": "DM Mathematics"
} |
z when two letters picked without replacement from zzizizzzzzzzz.
55/78
Three letters picked without replacement from punhptnhhtughuphhpn. What is prob of picking 1 u, 1 n, and 1 t?
6/323
What is prob of picking 1 m and 1 s when two letters picked without replacement from {m: 5, o: 2, e: 1, s: 1, r: 1}?
1/9
Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
5, 7, 29, 179, 389
List the prime factors of 1150694651.
1150694651
What are the prime factors of 736689422?
2, 7, 7517239
What are the prime factors of 1704304085?
5, 11, 19, 1630913
List the prime factors of 136897379.
17, 8052787
List the prime factors of 136804283.
7, 11, 757, 2347
List the prime factors of 4224310... | {
"pile_set_name": "DM Mathematics"
} |
) = k**2 + 1. Calculate -j(f) - 3*w(f).
-f**2 + f + 1
Let v = 26 - 19. Suppose 4*h - 9 = v. Let o(b) = 2*b - 3. Let z(n) = 5*n - 8. Determine h*z(j) - 11*o(j).
-2*j + 1
Let j(z) = -5*z**3 + 3*z. Let k(o) = -4*o**3 + 2*o. Let m = 17 + -14. Determine m*k(b) - 2*j(b).
-2*b**3
Let g(v) = -103*v - 3. Let q(f) = 69*f + 2. Ca... | {
"pile_set_name": "DM Mathematics"
} |
t(76)/((sqrt(12)*2)/sqrt(3)).
sqrt(19)/2
Simplify (-2 + sqrt(39)/sqrt(3) + 2*sqrt(65)/sqrt(5))**2 + -3.
-12*sqrt(13) + 118
Simplify (sqrt(1188)*1)/(sqrt(11)*1*-4).
-3*sqrt(3)/2
Simplify (sqrt(832) + -2 + sqrt(832) + 1 + 0 + 1 + sqrt(832))**2.
7488
Simplify (sqrt(300)/sqrt(4) + 1*sqrt(3)*1)**2.
108
Simplify 1 + (sqrt(11... | {
"pile_set_name": "DM Mathematics"
} |
(f) = f. Let n(k) = 2*k + 1 + 3*k - k. Let a = -485 - -763. Let z = a + -280. Give z*y(t) + n(t).
2*t + 1
Let c = 14 + 10. Let q(o) = -16*o + 41*o - c*o. Let g(i) = -8*i + 2. Give g(h) + 6*q(h).
-2*h + 2
Let w(r) = -27*r**3 + 94*r**2 + 2*r + 36. Let y(o) = -48*o**3 + 187*o**2 + 4*o + 64. What is -7*w(g) + 4*y(g)?
-3*g*... | {
"pile_set_name": "DM Mathematics"
} |
ng order.
5, 4, w
Suppose 2*b = b - 2. Let s be 4/((-32)/4)*b. Sort 5, -13, s in increasing order.
-13, s, 5
Let j(v) = v**2 - 6*v - 24. Let k be j(9). Sort -5, k, 0 in descending order.
k, 0, -5
Let z = 454 - 457. Put -1, 0, 1, z in decreasing order.
1, 0, -1, z
Suppose -14*p + 14 = -7*p. Sort -4, 20, p in ascending o... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 1896*u
Find the third derivative of 285*g**4 + 80*g**2 + g.
6840*g
Differentiate -72*f**2*k - 89*f**2 - f*k wrt k.
-72*f**2 - f
Find the third derivative of 67*g*o**3 + 5*g*o**2 - 13*g*o - 2*o**3 wrt o.
402*g - 12
Find the second derivative of -163*j**2*k**3 - 13*j*k**3 - k**3 wrt j.
-326*k**3
What is the second ... | {
"pile_set_name": "DM Mathematics"
} |
(-5 + 3)*48/96*-91417 composite?
True
Let z(d) = 13*d**3 + 42*d**2 - 536*d - 2. Is z(11) prime?
True
Suppose 50*w - 149*w = -38390913. Is w prime?
False
Let o be (2 - 8)/((-54)/27). Is (3/2)/(o/16778) a composite number?
False
Let x(j) = j - 13. Let p be x(17). Suppose 3*q - 2*q + p*i + 172 = 0, -2*q - 4*i = 328. Let d... | {
"pile_set_name": "DM Mathematics"
} |
der when 50 is divided by z(0).
24
Let w be 0/2 + 24/6. Suppose -a = 7*o - 2*o - 196, 4*o - w*a - 152 = 0. What is the remainder when o is divided by 14?
11
What is the remainder when 68 is divided by ((-3)/18*-8)/((-1)/(-18))?
20
Let p(w) = 2*w + 4. Let c be p(0). Suppose 8 = c*i - 116. What is the remainder when i is... | {
"pile_set_name": "DM Mathematics"
} |
to i? (a) 1/3 (b) t (c) x
a
Let s be (7 + (-78)/12)*(1 - 2). What is the closest to 0 in s, -0.05, 5, -1/7?
-0.05
Let h = 344 + -358. Which is the nearest to 0? (a) 0.5 (b) h (c) -3
a
Suppose -5*d - 54 = -3*d. Let t be 3 - 4/((-48)/d). What is the closest to -1 in 0.2, t, -1?
-1
Let n be (-13 - -31)/(2 + (-1)/2)... | {
"pile_set_name": "DM Mathematics"
} |
13 a factor of k?
False
Suppose 0 = 2*h + 2*b - 12, -3*h + 4*b + 0 = 10. Suppose 0 = 4*q - h*q - 30. Is q a multiple of 15?
True
Suppose 11*x - 2036 - 593 = 0. Is x a multiple of 18?
False
Let q(w) be the first derivative of -3/2*w**2 + 4*w - 2 - 1/3*w**3. Is q(-3) a multiple of 4?
True
Let o(u) = -u**3 - 5*u**2 - u - ... | {
"pile_set_name": "DM Mathematics"
} |
.
94380
Find the common denominator of -21/1993 and -83/18.
35874
Calculate the smallest common multiple of 7 and 248206.
248206
Find the common denominator of 79/669975 and 1/89330.
1339950
Find the common denominator of 14/81 and 11/170235.
510705
Calculate the least common multiple of 1008 and 24.
1008
Calculate the... | {
"pile_set_name": "DM Mathematics"
} |
32))).
0
Simplify (-5 + (-3*((sqrt(190) + -1*sqrt(190))*-6 + 4*(-2*sqrt(190) - sqrt(190)) + sqrt(190)))/((sqrt(110) - 5*sqrt(110)*-1 - sqrt(110))/(6*sqrt(11)*2)))**2.
-792*sqrt(19) + 2980129/25
Simplify (-2 + sqrt(1053)*-2 + -1 + -2 + 3 + -3*sqrt(1053)*1*-4 + 4)**2.
360*sqrt(13) + 105304
Simplify ((1*1*sqrt(171) - sqrt... | {
"pile_set_name": "DM Mathematics"
} |
se 6*t - 3*i + 8 = 2*t, 2*i + 2 = -t. Let o be -2 - -2 - t - -3. Suppose 0 = -2*x - 4*p + 146 - 62, 0 = o*x - p - 210. What are the prime factors of x?
2, 3, 7
Suppose 3*i + 3*f = f + 1841, 0 = 4*f + 8. Suppose -y + 4*j + 146 = -157, 2*y = 5*j + i. What are the prime factors of y?
3, 5, 7
Let y be (-3585)/(-6) - 16/(-3... | {
"pile_set_name": "DM Mathematics"
} |
/45240)/(-1*4/(-180))?
15/8
What is (15/21)/(5/(-7)*(-18)/(9630/(-107)))?
-5
36/(-38)*(-89452)/(-3531)
-24
Calculate ((-16)/(-42))/((-16806)/176463)*((-3)/32)/3.
1/8
What is ((-638)/(-88))/(((-153)/17)/36)?
-29
Evaluate 7/((24/(-18))/(13*14/3003*11)).
-7/2
Calculate (-6)/48*8/(-38)*224/(616/(-22)).
-4/19
165/(-44)*(-6)... | {
"pile_set_name": "DM Mathematics"
} |
without replacement from vvvhvvhvvvhvvv?
55/91
What is prob of picking 1 d and 2 h when three letters picked without replacement from {d: 4, c: 2, a: 1, h: 7}?
3/13
Two letters picked without replacement from nonooswsnnooo. Give prob of picking 1 w and 1 s.
1/39
What is prob of picking 3 j when three letters picked wit... | {
"pile_set_name": "DM Mathematics"
} |
4 - 14/28. Let b be (2/2)/(w/117). Let t(a) = a**2 + 8*a + 3. Calculate the least common multiple of t(b) and 8.
24
Suppose -5*k + 32 = -3. Let o be 7*((-9)/k + 1). Find the common denominator of -53/18 and o + 1 + (-297)/(-220).
180
Find the common denominator of (3 + (-105)/36)*(-549)/(-6) and 272/110 - 2/10.
88
Let ... | {
"pile_set_name": "DM Mathematics"
} |
Let v(u) be the first derivative of 3*u**2/2 + 13*u + 9. Let f(l) = 2*l. Let h(q) = -2*f(q) + v(q). Give h(12).
1
Let q = 15 - 38. Let f be 117/(-7) + 4/(-14). Let j = q - f. Let c(m) = -m**3 - 5*m**2 + 7*m - 2. Calculate c(j).
-8
Suppose -13*o + 135 = -18*o. Let i be 3/(-9)*(o + -6). Let k(r) = 9*r + 6 + r**2 - i*r -... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -3*f + 0*f = -144. What is the remainder when f is divided by a?
23
Let d(v) = -v - 5. Let b be d(-7). Suppose 0 - 17 = -5*r - c, 0 = -4*r + 5*c + 2. Suppose r*f = -b*f + 110. What is the remainder when 42 is divided by f?
20
Let j = 19 - 3. Let r = -5 - -11. What is the remainder when j is divided by r?
4
Supp... | {
"pile_set_name": "DM Mathematics"
} |
(c) 2060
a
Which is the nearest to -2/5? (a) -22 (b) -2 (c) 0 (d) 4/45
c
Which is the nearest to 0.3? (a) -0.1 (b) 37 (c) 4/33
c
Which is the nearest to 2? (a) 0.01 (b) 4/13 (c) -5 (d) 3
d
What is the closest to 1 in -8/3, -7, 1/56, 2/11, -2/11?
2/11
What is the nearest to 1 in -28, 497, -1, -4, 2/17?
2/17... | {
"pile_set_name": "DM Mathematics"
} |
2*a**4 + 9 - a - 9 - 5*a**5.
-10*a**5 - a
Expand (2*m - 2*m + m)*(35*m**2 + 4 - m - 4).
35*m**3 - m**2
Expand (0*n**2 - 4*n**2 + 3*n**2)*(3 + 2 - 3) - 4*n + 4*n + n**2.
-n**2
Expand (1 + 1 - 3)*(-2*z + 2*z**5 + 2*z) + (-2 + 2 + z**5)*(2 + 2 - 6) + (-z**2 - z**2 + 0*z**2)*(-5*z**3 + 3*z**3 + 3*z**3) + z**5 + 0*z**2 + 0... | {
"pile_set_name": "DM Mathematics"
} |
l be n(0). Suppose 14 = -5*j + l. What is the units digit of (-9 - 1)*1/j?
5
Suppose -j - 4 = -3*d - 0*j, 10 = d + 4*j. Suppose -h = -2*l + 35, 61 = d*l - 2*h + 21. What is the units digit of l?
5
Let y(d) be the second derivative of d**3/6 + d**2/2 + 2*d. What is the units digit of y(5)?
6
Let m be 1 + -2 - -13*5. Wha... | {
"pile_set_name": "DM Mathematics"
} |
-4*z + g, 0 = z + y + 9 for z.
-4
Let n(m) = -m**2 + m + 31. Let r be n(0). Solve -5 = -2*y + 5, r = -2*k + 5*y for k.
-3
Let d be ((-15)/12)/(1/(-16)). Let s be (d/(-15))/(2/(-3)). Solve 4*h + 0 = 12, 9 = 5*j - s*h for j.
3
Let k be (36/(-30))/((-3)/10). Solve 0 = o + 5*y - 6, k*o - o + y = 4 for o.
1
Let i = -2 + 5.... | {
"pile_set_name": "DM Mathematics"
} |
f -39*d**3*g**2*p**2 - 7*d**3*p**2 + 2*d**2*g**2*p**3 + 2*d**2*g*p**2 + 3*g*p**3 wrt g.
-78*d**3*p**2 + 4*d**2*p**3
Find the second derivative of -321*i**3 + 3*i**2 - 4*i + 733.
-1926*i + 6
Differentiate 112*k*m**4 + 582*k + m**4 with respect to m.
448*k*m**3 + 4*m**3
Find the second derivative of -429*v**4 - 737*v.
-5... | {
"pile_set_name": "DM Mathematics"
} |
6*m. What is h(-1)?
-66
Let f(p) = p - 14. Give f(-10).
-24
Let a(d) = -7*d + 2. What is a(-8)?
58
Let k(c) = -4*c - 110. Calculate k(-27).
-2
Let q(o) = o - 6. Give q(5).
-1
Let s(t) = 20*t - 160. Determine s(8).
0
Let c(v) = 4*v + 5. Calculate c(-5).
-15
Let r(v) = 3*v**2 - v - 2. Determine r(3).
22
Let l(i) = i**3 -... | {
"pile_set_name": "DM Mathematics"
} |
. Suppose 4*m = -r - 13, -2*r + 6*r + 4*m + 28 = 0. Calculate r*g(j) - 2*s(j).
-2*j**3 - 3*j - 3
Let d(q) = q + 2. Let u(b) = -46. Let i(r) = -19. Let l(f) = -5*i(f) + 2*u(f). Give -3*d(a) + 2*l(a).
-3*a
Let a = 0 - -3. Let o = -51 + 53. Let c(p) = -5*p + 5*p**o + p**2 - a*p + p - 6. Let z(t) = -5*t**2 + 6*t + 5. Deter... | {
"pile_set_name": "DM Mathematics"
} |
is the closest to 1/2? (a) -4 (b) -3/2 (c) o
c
Let d = -0.1 + -0.1. Let i(n) = 67*n. Let g be i(-1). Let f be (-9)/(-12) + g/100. Which is the closest to -0.01? (a) d (b) f (c) 0.1
b
Let b be (-8)/(-30) + 7/21. Suppose 5*v + 4*x = -1 - 1, -6 = -3*x. What is the nearest to 0.1 in v, b, -4?
b
Let l = 69/2 - 33. Le... | {
"pile_set_name": "DM Mathematics"
} |
3*f - 11. Let l(p) = -187*p**2 - 2*p - 8. Calculate -5*l(t) + 4*n(t).
163*t**2 - 2*t - 4
Let n(i) = 4*i**2 + 4*i - 120. Let a(h) = 3*h**2 + 5*h - 119. Give 3*a(k) - 2*n(k).
k**2 + 7*k - 117
Let r(c) = 6*c**2 - 7. Let d = 38 + -32. Let f be (-56)/d + (-32)/48. Let k(h) be the second derivative of -h**4/12 + h**2/2 - 14... | {
"pile_set_name": "DM Mathematics"
} |
4 (base 9) in base 6?
-4
What is 4d (base 15) in base 10?
73
-4 (base 12) to base 10
-4
Convert -2 (base 15) to base 16.
-2
What is 3c (base 16) in base 6?
140
5b (base 13) to base 2
1001100
Convert -10 (base 11) to base 15.
-b
What is -3130 (base 4) in base 2?
-11011100
What is b9 (base 14) in base 10?
163
-22 (base 1... | {
"pile_set_name": "DM Mathematics"
} |
*x**2 + 33 = 0.
1/4, 4
Let k be ((-12)/5)/(-3*3/1440). Let s = -6526/17 + k. What is j in -2/17*j + s*j**2 - 4/17 = 0?
-1, 2
Let p = 1154 + -1154. Let g(d) be the second derivative of -1/9*d**3 + 0 + 4*d + p*d**2 - 1/18*d**4. Find k, given that g(k) = 0.
-1, 0
Let x(q) = -q**3 - q**2 + 2*q + 58. Let g be x(0). Factor g... | {
"pile_set_name": "DM Mathematics"
} |
**2 wrt m.
60*m**2 - 738
Let y(w) = -3*w**4 - 6*w**3 + 50*w**2 - 709*w + 6. Let l(p) = p**3 - 2*p - 1. Let n(s) = 6*l(s) + y(s). What is the second derivative of n(g) wrt g?
-36*g**2 + 100
Let c(y) be the third derivative of -83*y**9/504 - y**7/105 - y**5/60 - 5*y**3/6 - 4*y**2 - 8. Find the third derivative of c(r) wr... | {
"pile_set_name": "DM Mathematics"
} |
wwwwwcwcwwwwwwwwwc. Give prob of picking 2 c.
1/51
Two letters picked without replacement from {o: 2, k: 1, m: 1, j: 2}. Give prob of picking 1 k and 1 j.
2/15
Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 3, c: 4}.
4/7
Two letters picked without replacement from {x: 3, a: ... | {
"pile_set_name": "DM Mathematics"
} |
fy (sqrt(6)/sqrt(3) + -1 + -3*sqrt(2)*-2 - (-5 + sqrt(98) + 1))**2.
9
Simplify 6*(sqrt(500) - (-3 + sqrt(500))**2 - (-1 + sqrt(245))).
-3048 + 378*sqrt(5)
Simplify -5*(-4 + (3 + sqrt(1900) + -3 + 6*(sqrt(1900) + sqrt(1900) + (sqrt(1900) - (sqrt(1900) + sqrt(1900) + 3) - sqrt(1900)) + sqrt(1900)))**2).
-467100 + 12600*s... | {
"pile_set_name": "DM Mathematics"
} |
). What is the tens digit of (-26)/(-2) - n/(-16)?
1
Suppose 2*k + k = 3. Let h be 4 + -2 - (1 - k). Suppose -1 = h*p - 3. What is the units digit of p?
1
Suppose -y - h + 20 = -5*h, 0 = -5*h + 5. Suppose -o + y = -3. What is the units digit of o?
7
Let b = -7 - -4. Let w = 6 - b. Suppose 3*o = w + 6. What is the units... | {
"pile_set_name": "DM Mathematics"
} |
= -l*s for s.
5
Suppose 56 = 9*c - 16. Let i be 1 + 1 + c - -5. Solve -4*d + 6 = -3*x - 15, -3*x + 2*d = i for x.
-3
Let t = 91 + 29. Let f = -135 + 139. Suppose -f*k + t = -k. Solve 5*v = -0*z - z - 16, -5*v + 5*z = k for v.
-4
Let s = -14 - -14. Let w be 4/12*s - -5. Suppose 0 = w*m - 0*m. Solve 3*y - 4*z - 27 = -m*... | {
"pile_set_name": "DM Mathematics"
} |
v.
5
Let w = 146 - 142. Solve -x + 0*o - 4*o - 23 = 0, -w*x - 3*o - 27 = 0 for x.
-3
Suppose -2 = 107*y - 108*y. Solve n + y*j + 13 = -j, -3*j = 2*n + 14 for n.
-1
Suppose 8 = 5*b - 12. Let m(x) = -x**2 - 5*x + 11. Suppose -4*i = 3*o + 39, 3*o + 22 = -5*i - 23. Let z be m(i). Solve -u = z*p - 11, -b*p + u = -1 - 15 fo... | {
"pile_set_name": "DM Mathematics"
} |
et j = -83 - -89. Solve l - 11 = -4*v, -4*v = 2*l - 16 + j for l.
-1
Suppose -h = -6 + 3. Suppose 0 = 2*n + n - 9. Suppose -4*l + 2*c = -3*c - 27, -4*l = 2*c - 6. Solve -l*f + n*j = -8*f - 27, 21 = -3*f - h*j for f.
-3
Suppose -5*s + 2*k + 103 = 0, 0 = -4*s + k + 5 + 78. Let j be (-6)/21 - (-69)/s. Solve 3*a - f = 1, 4... | {
"pile_set_name": "DM Mathematics"
} |
olve -78*r = 4654 - 7852 for r.
41
Solve 879*x - 429*x - 468 = 432*x for x.
26
Solve 540 = -5*y + 65*y for y.
9
Solve 284*m + 508*m - 17919 = 249*m for m.
33
Solve -98*t + 50 = -141*t + 351 for t.
7
Solve 8*r + 237 = 261 for r.
3
Solve -1314231 + 1313496 = -35*z for z.
21
Solve 430 = 185*z - 310 for z.
4
Solve 0 = -133... | {
"pile_set_name": "DM Mathematics"
} |
Is 65563801 a composite number?
True
Is 665078689 prime?
False
Is 11738383 composite?
False
Is 21330601 a composite number?
True
Is 49598851 a prime number?
False
Is 189466943 a composite number?
False
Is 2748227 prime?
True
Is 73730837 a composite number?
False
Is 1400717 prime?
False
Is 20566409 composite?
False
Is 1... | {
"pile_set_name": "DM Mathematics"
} |
be i(6). Suppose -1496 = -3*q + 4*m, -4*q + h*m + 1996 = 4*m. Round q to the nearest one hundred.
500
Let k = 55.742 - 54.8. Let p = 0.04 - -0.96. Let c = p - k. What is c rounded to 2 decimal places?
0.06
Suppose 2*b - 5*b = -6. Let c(s) = -1679998*s - 4. Let u be c(b). What is u rounded to the nearest 1000000?
-3000... | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -29 = -3*w - 8. Solve 1 = -s, 3*s + v + w = 2*c for c.
2
Let x(l) = -l**2 - 3*l + 3. Let b be x(-3). Suppose b - 3 = -11*k. Solve -4 = -2*r - 5*y + 10, k = y - 2 for r.
2
Let l = -122 + 125. Let b(a) = -6*a**3 + a**2 - 3*a - 4. Let h be b(-1). Solve -2*z + h*p = p - 5, -4*p - 11 = -l*z for z.
5
Let t(i) = i**... | {
"pile_set_name": "DM Mathematics"
} |
7/5 of a centimeter?
54
What is 83228.472s in days?
0.9632925
How many nanometers are there in 6/25 of a micrometer?
240
How many millimeters are there in twenty-six fifths of a centimeter?
52
How many millilitres are there in twenty-seven quarters of a litre?
6750
What is 0.3725426 weeks in minutes?
3755.229408
How ma... | {
"pile_set_name": "DM Mathematics"
} |
*m(b) + p(b). Determine f(y(n)).
-2*n**2
Let g(o) = -o. Suppose -3*u - k + 7 = 0, 0*u + 2*u - 6 = -2*k. Let l(h) = -u*h - 2*h + 0*h - 2*h. Give g(l(j)).
6*j
Let x(i) = i**2. Suppose -2*b = -2*w + 3*b + 16, 0 = 3*w + 4*b - 1. Let v(d) = -6*d + d + w*d + 6*d. Calculate v(x(s)).
4*s**2
Let s(l) = 5*l. Let v(y) = 26*y**2. ... | {
"pile_set_name": "DM Mathematics"
} |
s = y + 101. Does 18 divide s?
False
Suppose 2*f - 4*p - 8 = 0, p = 2*f - 5 - 3. Is 16 a factor of 24/3*(f + -2)?
True
Let u = 107 - 0. Suppose -5*r + u = 2. Does 21 divide r?
True
Let k = 60 + -19. Is k a multiple of 7?
False
Let g be (-6)/(1/((-6)/9)). Suppose 2*d + 30 = g*d. Does 15 divide d?
True
Suppose 0*z - 3*z... | {
"pile_set_name": "DM Mathematics"
} |
*w + 36*g**2*w + 5892*g*w wrt g.
360*g**3*w + 72*w
What is the first derivative of 123*y**3 - 2*y + 208?
369*y**2 - 2
What is the third derivative of 274*g**3 - 61*g**2 - 2 wrt g?
1644
Find the second derivative of 509*o**5 - 245*o wrt o.
10180*o**3
Find the third derivative of 54*t**5*z - 2*t**3*z**2 + 28*t**2*z**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
late -4 + (-84)/63*2*-3.
4
Evaluate 4/14 - 999/189.
-5
What is the value of ((-2)/(-55))/((-59)/295)?
-2/11
(3 + 0)/(5/10) + 2
8
What is 10 + -2 + (-2070)/255?
-2/17
What is the value of 4 + (1/(-2) - 2/(-4))?
4
What is the value of 100/(-15) + 7*(-6)/(-63)?
-6
Evaluate (-1)/(-4)*(0 - -12)/3.
1
Evaluate ((15/9)/5)/(2/1... | {
"pile_set_name": "DM Mathematics"
} |
termine x(4).
-8
Let t(d) = -d - 3. Let l be (12/10)/((-6)/(-40)). Let p = l - 10. Let z(j) = 3*j + 1. Let r be z(p). What is t(r)?
2
Let k(o) = -6*o + 5. Let u(m) = m. Suppose -14 = 2*y + 5*s + 13, -3*y + 2*s + 7 = 0. Let i(l) = y*k(l) - 5*u(l). Suppose -n = 4*n + 20. What is i(n)?
-9
Let l(d) = d**2 - 8*d - 8. Let v(... | {
"pile_set_name": "DM Mathematics"
} |
1*t + 13715. Is t composite?
True
Let r(l) = 17*l + 21. Suppose 3*y - y = 4*z + 54, -3*y = -2*z - 85. Let s = y + -13. Is r(s) a prime number?
True
Let p(c) = 3*c**3 + 2*c**3 - 2 - 2*c**3 + 3*c**3 - c + c**2. Let j be p(2). Let a = j + 79. Is a a prime number?
True
Let v(s) = 76*s - 7. Let o be v(2). Is 6*-1*o/(-10) a ... | {
"pile_set_name": "DM Mathematics"
} |
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