text stringlengths 270 8.19k | meta dict |
|---|---|
litres to litres.
0.3428066
What is 3/8 of a milligram in micrograms?
375
How many minutes are there in twenty-one fifths of a week?
42336
Convert 1.8460266 months to centuries.
0.0015383555
Convert 4.057031cm to millimeters.
40.57031
How many seconds are there in twenty-nine sixths of a hour?
17400
What is 29/5 of a d... | {
"pile_set_name": "DM Mathematics"
} |
*o = -16 - 4 for o.
5
Suppose -d = -5*d + 20. Suppose 0 = 8*o - 13*o. Suppose -5*x = 2*k - 28, -16 = -3*k + 8*x - 9*x. Solve o = d*a - k*a for a.
0
Let t be (-5 + -1*1)*(-2550)/1700. Solve 27 + 18 = t*p for p.
5
Suppose 0 = -p - 6*p + 3255. Solve 486 = -7*j + p for j.
-3
Let v be 10/15 + 4/3. Let y be v/9 - 125/(-45). ... | {
"pile_set_name": "DM Mathematics"
} |
00
Round 1.6672 to 1 decimal place.
1.7
What is -0.000001832 rounded to 6 dps?
-0.000002
What is 54900 rounded to the nearest ten thousand?
50000
What is -113500 rounded to the nearest ten thousand?
-110000
Round -0.000335 to four decimal places.
-0.0003
What is 7414000 rounded to the nearest one million?
7000000
Round... | {
"pile_set_name": "DM Mathematics"
} |
, -277432, -332888?
z**3 + z**2 - 55558*z + 208
What is the l'th term of -1874550, -1874558, -1874566?
-8*l - 1874542
What is the o'th term of -5664, -5698, -5718, -5724, -5716?
7*o**2 - 55*o - 5616
What is the v'th term of 3030525, 3030527, 3030529, 3030531?
2*v + 3030523
What is the b'th term of 55161, 54970, 54647, ... | {
"pile_set_name": "DM Mathematics"
} |
- o) a prime number?
True
Let t = -28 - -81. Is t composite?
False
Let q(d) = -11*d - 2. Let m(g) = -5*g**3 - 4*g**2 + 7*g - 1. Let w(f) = -f**3 - f**2 + f. Let s(i) = m(i) - 4*w(i). Let t be s(2). Is q(t) a composite number?
False
Is ((-27)/(-30) + (-6)/15)*334 a composite number?
False
Let w = 3 - 5. Let p = 5 + w. ... | {
"pile_set_name": "DM Mathematics"
} |
1056
Simplify (-6*-1*sqrt(1440))/(-3*(sqrt(8) + sqrt(8)*2)*-6).
2*sqrt(5)/3
Simplify -5 + (2*(sqrt(1584) + (sqrt(1584) + 0 + sqrt(1584))*-4 + 4 + -2*sqrt(1584)*-6*6))**2.
24960*sqrt(11) + 26769659
Simplify -3*(6*(-5 + 3 + sqrt(68) - 1*sqrt(2448)*-4))**2 + 2.
-4590430 + 21600*sqrt(17)
Simplify -2 + ((-2*sqrt(343)*-1 - -... | {
"pile_set_name": "DM Mathematics"
} |
**4/24 + r**3/3 + 31*r**2 - 2. Let u(d) = 6*d**3 + 3*d**2 + 3*d - 1. Give -5*u(z) - 3*w(z).
6*z**3 - 1
Let k(b) = b + 2. Let g(w) = -w**3 + 2*w**2 - w + 4. Let j be g(2). Let p(x) = x**2 + x + 1. What is j*p(v) - k(v)?
2*v**2 + v
Let h(g) = g - 123. Let n(r) = -r + 120. Determine -5*h(u) - 6*n(u).
u - 105
Let q(n) = 43... | {
"pile_set_name": "DM Mathematics"
} |
our letters picked without replacement from ebebe?
3/5
What is prob of picking 2 g when two letters picked without replacement from {v: 5, j: 6, g: 4}?
2/35
What is prob of picking 2 k when two letters picked without replacement from vvkeek?
1/15
Three letters picked without replacement from {k: 3, o: 7}. Give prob of ... | {
"pile_set_name": "DM Mathematics"
} |
be the third derivative of o**4/12 + 7*o**3/6 - 129*o**2. Let j(n) = 2*n. What is q(j(z))?
4*z + 7
Let v(g) = -3*g**2 + 2449*g. Let j(p) = -2*p. Determine j(v(i)).
6*i**2 - 4898*i
Let m(n) = -3*n - 5*n + 4*n. Let j(o) = o**2 + 4*o - 10. Let y be j(-6). Let w(k) = y*k**2 + 3*k**2 + 2*k**2 - k**2. Determine w(m(i)).
96*i... | {
"pile_set_name": "DM Mathematics"
} |
*i)*i)/i*i)/i*i*i)/i**(-9)))**(-2/17) assuming i is positive.
i**(-1861/238)
Simplify (d/d**18)**(3/10)/(d**19/d)**(-26/7) assuming d is positive.
d**(4323/70)
Simplify ((s/(s**(-3/7)/s))**(-47)*s**(2/35)/(((s**(-2)/s)/s)/s))**(11/3) assuming s is positive.
s**(-41998/105)
Simplify (p/p**(-6))/(p*p**4)*(p**2)**(-7)*(p*... | {
"pile_set_name": "DM Mathematics"
} |
at is s(3)?
-3
Let k(f) = 2*f**3 + 10*f**2 - 50*f - 223. Calculate k(-4).
9
Let c(o) = -o**2 + 91*o - 1081. Give c(14).
-3
Let u(x) = x**3 - 67*x**2 - 438*x + 187. What is u(73)?
187
Let p(s) = -s**3 + 26*s**2 - 22*s - 84. Give p(25).
-9
Let d(t) = -9*t**2 + 6*t - 6. What is d(1)?
-9
Let b(s) = 12*s**2 + 543*s + 191. W... | {
"pile_set_name": "DM Mathematics"
} |
without replacement from uqquqqwuqhmqqquum. What is prob of sequence mmqw?
1/3570
Four letters picked without replacement from {r: 4, b: 2}. Give prob of sequence rrbr.
2/15
Calculate prob of sequence jii when three letters picked without replacement from {l: 2, f: 7, j: 1, i: 2}.
1/660
What is prob of sequence fuuu w... | {
"pile_set_name": "DM Mathematics"
} |
881 - -2.119. Which is greater: m or b?
b
Let r = 82.8 - 83. Which is smaller: r or 47?
r
Let a(q) = -2 + 3*q - 2 + 5*q - 7*q. Let r be a(-13). Is -17 less than or equal to r?
True
Let g = -467 + 470.07. Let f = g + -0.07. Do f and 2/7 have the same value?
False
Let s = -0.9 + 1. Let q = 79/7 + 106/21. Let x = -17 + q.... | {
"pile_set_name": "DM Mathematics"
} |
- 7. What is j(7)?
-7
Let s(m) = 8*m**2 + 2*m - 5. Determine s(2).
31
Let t(a) = -a**3 - 2*a**2 + 25*a - 1. Give t(-6).
-7
Let x(c) = 28*c**3 + 1. Determine x(1).
29
Let w(k) = -2*k**3 + 46*k**2 - 2*k + 21. Give w(23).
-25
Let u(z) = -57*z**2 - 171*z + 2. Determine u(-3).
2
Let q(p) = 2*p**2 + 3*p - 2. Calculate q(6).
... | {
"pile_set_name": "DM Mathematics"
} |
of sequence ig when two letters picked without replacement from {g: 5, i: 2}.
5/21
Two letters picked without replacement from eeaeiaaaaaaeebe. What is prob of sequence aa?
1/5
Calculate prob of sequence znzn when four letters picked without replacement from {i: 4, n: 2, q: 4, b: 6, z: 4}.
1/4845
Calculate prob of sequ... | {
"pile_set_name": "DM Mathematics"
} |
5 = 2494965. Is r a composite number?
True
Let m(v) = 85*v**2 - 1941*v - 37. Is m(69) a composite number?
False
Let a(h) = -13*h**3 - 2*h**2 + 2*h + 12. Let g be a(4). Let c = 553 - g. Is c prime?
False
Is 8/(-20) + (-3 - ((-16565688)/20 - -4)) a prime number?
True
Suppose 0 = 57*p - 17*p - 6664237 - 7826283. Is p a pr... | {
"pile_set_name": "DM Mathematics"
} |
factor of 36 and r?
4
Suppose 58*c - 39*c = 1197. Calculate the highest common divisor of c and 168.
21
Let b(t) = -t - 18 + 5 + 1. Let f be b(-13). What is the greatest common factor of 4 and f?
1
Suppose -2*v = 3*s - 28 + 4, 5*v - 83 = 4*s. Calculate the greatest common factor of v and 1005.
15
Let v = 20 - 10. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
v(n) = 17*n**2 - 9*n - 4701*n**3 - 6*n**2 - 2*n + 10 + 0*n. Let t be v(10). Round t to the nearest one million.
-5000000
Let k = 21435304 + -21435322.00000168. Let v = k - -18. Round v to 7 decimal places.
-0.0000017
Let h = -149 + 149.00000087. Round h to 7 decimal places.
0.0000009
Let m = 4.022 + -4. What is m roun... | {
"pile_set_name": "DM Mathematics"
} |
43 AM?
9:42 PM
What is 102 minutes after 6:57 PM?
8:39 PM
What is 699 minutes after 6:04 PM?
5:43 AM
What is 38 minutes after 3:07 PM?
3:45 PM
What is 625 minutes after 8:10 PM?
6:35 AM
What is 704 minutes after 7:02 AM?
6:46 PM
How many minutes are there between 10:18 AM and 1:40 PM?
202
How many minutes are there bet... | {
"pile_set_name": "DM Mathematics"
} |
929630221. Let z = r + -105615. Let t = z + -7. Round t to five dps.
-0.00004
Let h(i) = -8422*i - 2. Let s be h(-1). What is s rounded to the nearest one thousand?
8000
Let i = 0.029 - 0.02900105. What is i rounded to 7 dps?
-0.0000011
Let i = -66670991435.309935 - -66671134300. Let g = i - 142865. Let k = 0.31 + g. W... | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 6698622?
2, 3, 7, 159491
List the prime factors of 13181878.
2, 6590939
What are the prime factors of 264527?
264527
List the prime factors of 3117844.
2, 43, 18127
What are the prime factors of 8767067?
8767067
List the prime factors of 4960287.
3, 551143
What are the prime factors of 10421757?
3, 385... | {
"pile_set_name": "DM Mathematics"
} |
closest to -5/2 in 4, 16/85, 2/7, -4/5?
-4/5
What is the nearest to 11 in 2, 0.3, -3, 1/11, 2/41?
2
Which is the nearest to -4? (a) 0.1 (b) -0.024 (c) 2 (d) -0.2
d
What is the nearest to 1/4 in 1/4, -4, -47/4?
1/4
Which is the nearest to -0.4? (a) 1/153 (b) 3/4 (c) 0.5 (d) -7
a
Which is the nearest to 1/3? (a)... | {
"pile_set_name": "DM Mathematics"
} |
m(-6). Let y be ((-8)/q)/((-11)/(-33)). Let h be (52*y)/((-8)/100000). What is h rounded to the nearest 1000000?
-3000000
Let x = 0.06968671 + -20.06960171. Let b = -20 - x. What is b rounded to five decimal places?
-0.00009
Let r = 126 - 113. Suppose 3*k = -o - 1740002, -r + 5 = 4*o. Round k to the nearest 100000.
-60... | {
"pile_set_name": "DM Mathematics"
} |
- 5 + 5 - 2*w to the form s*w + r and give r.
-2
Express -i**2 + 83 - 33 - i**2 in the form o*i**2 + z*i + f and give o.
-2
Express (-8*u - 11*u + 3*u)*(6 - 2 - 2)*(5 - 1 - 3) in the form s*u + j and give s.
-32
Rearrange -d**4 + 5*d**3 + 4*d + 3*d**3 - 7*d**3 + d**2 to the form l*d + z + g*d**3 + n*d**4 + f*d**2 and g... | {
"pile_set_name": "DM Mathematics"
} |
igit of d?
2
Let s(t) = -t**3 + 38*t**2 + 25*t + 20. What is the ten thousands digit of s(-17)?
1
Suppose 5*p + 5943 = -4*r + 1023, -5*p - 3*r = 4920. Let s = p - -2037. What is the tens digit of s?
5
Suppose -5*z - 91894 = -t, 4*t + 181*z - 367691 = 178*z. What is the units digit of t?
9
Let s be (-33)/2*2/(-3). Suppo... | {
"pile_set_name": "DM Mathematics"
} |
1 assuming v is positive.
v**(3885/31)
Simplify (a*a**(-11)*(a**(-5/4)*a)/a*a**(-2/5)*a/((a*a**9*a)/a))**43 assuming a is positive.
a**(-17759/20)
Simplify ((v*v/(v/(v/(v/(v*v/v**33)))))/((v**(-48)/v)/v*v))**(-15) assuming v is positive.
v**(-285)
Simplify (((((i**(-1/5)/i)/i)/i)/i)/i)**(-1/10)*(i**11/i)/i**(-7) assumi... | {
"pile_set_name": "DM Mathematics"
} |
late 4/(-1) + ((-1204)/(-168) - (-1)/(-6)).
3
What is (-393 + 397)/(1/(-1))?
-4
(-221)/(-17) + (-184)/14
-1/7
Calculate (-2 + -1 + 4)/((-13)/91).
-7
((-154)/385)/((-1)/40)
16
Calculate 3 + ((-9)/(-30) - 3) - 39123/(-1890).
21
((-2)/(-14))/((-4812)/(-14035))
5/12
Calculate ((-208)/(-20))/(1572/5895).
39
Calculate -7 + (... | {
"pile_set_name": "DM Mathematics"
} |
-1))/((-6)/(-12)))?
-7
Calculate (-2)/2*7/49.
-1/7
What is the value of (-1*2/(-8))/(81/(-216))?
-2/3
What is the value of (-4*3/18)/(98/(-42))?
2/7
Evaluate 2*(-9)/(-40)*5/3.
3/4
What is (4*(-2)/88)/(7/(-14))?
2/11
What is -2*(-12)/(-18)*6/20?
-2/5
What is the value of ((-94)/(-1974))/(6/(-14))?
-1/9
Calculate (3/(-1)... | {
"pile_set_name": "DM Mathematics"
} |
((3 + sqrt(20) + sqrt(60)/sqrt(3) + sqrt(20) - sqrt(120)/(sqrt(6)*1) - (-2*sqrt(140)/sqrt(4))/(sqrt(7) + -6*(sqrt(7) - sqrt(7)*1))) + 5)**2.
96*sqrt(5) + 244
Simplify -1*((-5*(5*1*sqrt(130) + sqrt(130) - (sqrt(130) + 1*sqrt(130)*4 + sqrt(130) + sqrt(130))))/((sqrt(20)*-1*6)/((sqrt(8) + sqrt(2))*-1)))**2.
-325/4
Simplif... | {
"pile_set_name": "DM Mathematics"
} |
= -1353 - 297. Let n = q + 172. Solve 5*c - 4*j = 16, -n = 2*c - 3*c - 3*j for c.
4
Let d(m) = 86*m - 10. Let o be d(1). Let b = -74 + o. Solve -b*s = 5*y - 0*y - 19, 3*s + 19 = 2*y for s.
-3
Suppose 44 = -r - 2*v, 0*v = -5*v - 20. Let s be ((-4)/(-9))/((-8)/r). Solve -s*w = -0*w, -2*h + 2*w + 2 = 0 for h.
1
Let v(x) =... | {
"pile_set_name": "DM Mathematics"
} |
-5*i - a, -i + 3*a = -71 for i.
-4
Solve -3*b - 34 = -2*o, -534*b + 535*b - 62 = -6*o for o.
11
Solve -196 = -4*b - 53*m, 5*m + 0*m - 16 = -b for b.
-4
Solve -603*k + 605*k - 15 = -3*v, 3*v - 15 = 0 for k.
0
Solve -77964*l + 77963*l - 5*v = 8, -4*v = -3*l + 14 for l.
2
Solve m = 16*r - 20*r - 7, 4*r - 8 = -4*m for m.
5... | {
"pile_set_name": "DM Mathematics"
} |
ate prob of picking 3 k when three letters picked without replacement from kkvkvvkkkkkvkkvkkkk.
364/969
What is prob of picking 1 c and 1 x when two letters picked without replacement from {q: 2, x: 2, c: 4}?
2/7
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {f: 3, c: 4, s: 1, w... | {
"pile_set_name": "DM Mathematics"
} |
+ 15*o**5/17 - 115*o**4/51 + 155*o**3/51 - 39*o**2/17 - 304*o + 2. Factor t(c).
-2*(c - 1)**4*(c + 39)/17
Let i = 245 + -239. Let m(a) be the third derivative of 1/40*a**i + 0*a**4 + 0*a + 0 + 2*a**2 - 1/10*a**5 + 0*a**3. Factor m(q).
3*q**2*(q - 2)
Suppose 0*v**2 + 1/8*v + 1/8*v**5 - 1/4*v**3 + 0*v**4 + 0 = 0. What is... | {
"pile_set_name": "DM Mathematics"
} |
lse
Is 30 a factor of 20510?
False
Does 7 divide 36843?
False
Does 17 divide 2055?
False
Does 80 divide 21120?
True
Does 180 divide 6480?
True
Does 41 divide 1968?
True
Is 9300 a multiple of 3?
True
Does 9 divide 675?
True
Is 75 a factor of 1762?
False
Is 20 a factor of 400?
True
Does 12 divide 4308?
True
Is 360 a mult... | {
"pile_set_name": "DM Mathematics"
} |
m**2 + 10*m + 5. Suppose -3*c + 2*t - 5*t - 42 = 0, 4*c - 4*t + 32 = 0. What is the units digit of p(c)?
6
Suppose j = -2*j + g - 13, j = -4*g - 13. Let x = -2 - j. Suppose 0*n + 96 = x*n. What is the tens digit of n?
3
Let s(g) = 77*g - 59. What is the tens digit of s(4)?
4
Suppose -60*j - 2856 = -68*j. What is the un... | {
"pile_set_name": "DM Mathematics"
} |
8, 0 = -w + 2*y + 3*y + 2. Let p = 34 - 24. Suppose -p = -2*g - 3*g. Solve a - g*l + 5 = 6, -2*a + l = -w for a.
1
Suppose -g - 2*a = -4*a - 2, -2*a - 26 = -3*g. Suppose -4*d + d + g = 0. Solve -15 - 14 = -d*v - 5*u, 4*v + 1 = u for v.
1
Let y = -7570 + 7578. Suppose -10 = -2*x - 3*x. Solve -4 = u - v, 0 = -x*u - 0*v ... | {
"pile_set_name": "DM Mathematics"
} |
- 12. Which is the third biggest value? (a) 0.3 (b) u (c) 3/5
b
Let j = 0.402 - 0.002. Let z = 6.7 - 7. Let s = -0.8 - z. What is the third biggest value in -1, s, j?
-1
Let v = 43/21 + -5/7. What is the smallest value in 0.4, v, 0.1?
0.1
Let g = -2.982 + -0.018. What is the second smallest value in g, 1/9, -1/4, 1?... | {
"pile_set_name": "DM Mathematics"
} |
2*x**3 + 3*x
Let f(b) = -b**3 + b**2. Let j(y) = -y**3 + 2*y**2. Let l be (-2)/6*0 - (1 - 3). Determine l*f(v) - j(v).
-v**3
Let o(d) be the first derivative of -d**3 - 1. Let x(b) = 2*b - 1. Let q be x(4). Let j be (-1)/(-7) - 15/q. Let i(g) = -g**2. What is j*o(t) + 7*i(t)?
-t**2
Let w(r) = 3*r - 2. Let c(a) be the s... | {
"pile_set_name": "DM Mathematics"
} |
/1292 and 91/34?
1292
Calculate the common denominator of 2/559 and 80/16341.
702663
What is the lowest common multiple of 42770 and 3760?
342160
Calculate the least common multiple of 765 and 10.
1530
What is the common denominator of 115/372 and -43/14640?
453840
Calculate the common denominator of -169/9576 and 173/... | {
"pile_set_name": "DM Mathematics"
} |
n + 6.056. Is s equal to 0.6?
False
Suppose -3 = -2*v + 5. Suppose v*q = 4*y, -12 + 2 = -3*q - 2*y. Suppose 0 = q*i - 3*i. Is 2 less than i?
False
Let h be 126/(-28) + 2/(-4). Let r(s) = s**2 + 8*s - 7. Let w be r(-9). Let b = w + -6. Which is greater: b or h?
b
Let a = 538 - 537. Which is smaller: -5/38 or a?
-5/38
S... | {
"pile_set_name": "DM Mathematics"
} |
- 508
What is the m'th term of 5, 19, 23, 11, -23, -85, -181, -317?
-m**3 + m**2 + 18*m - 13
What is the t'th term of -66, -456, -1508, -3552, -6918, -11936?
-55*t**3 - t**2 - 2*t - 8
What is the o'th term of 7, 32, 75, 136, 215?
9*o**2 - 2*o
What is the k'th term of -193, -224, -255, -286?
-31*k - 162
What is the r't... | {
"pile_set_name": "DM Mathematics"
} |
= 3*m + 1. Let c(l) = -3*o(l) - y(l). Let a(n) = -n**2. What is c(a(d))?
5*d**2 + 11
Let c(k) be the second derivative of k**4/8 + 53*k**2/2 + 52*k. Let y(z) be the first derivative of c(z). Let a(w) = 7*w. Determine y(a(l)).
21*l
Let r(a) = 12*a. Let j(i) = -9983*i**2 - 2*i. Determine r(j(d)).
-119796*d**2 - 24*d
Let ... | {
"pile_set_name": "DM Mathematics"
} |
t f = v + 5. What is the units digit of f?
9
Suppose 7*u - 2*u - 165 = 0. What is the tens digit of u?
3
Let g be 6/(-9) - 3/9. What is the tens digit of (g/(-1))/((-5)/(-145))?
2
Let t(z) = z**3 - 5*z**2 - 4*z - 4. Let u be t(6). Let v = u - 6. What is the units digit of (-20)/4*(1 - v)?
5
Let j = -12 - -18. Let y(i) ... | {
"pile_set_name": "DM Mathematics"
} |
third smallest value in 3/7, -0.1, z, m?
3/7
Let d = 17.73 + 0.27. Let t(v) = -v**3 - 3*v**2 + 36*v + 108. Let r be t(-3). Which is the third biggest value? (a) 5 (b) r (c) d
b
Let o(u) = 3*u**2 - 17*u + 4. Let z be o(7). Let r = z - 24. Let f be 90/8 - 2/r. Which is the third smallest value? (a) f (b) -4/3 (c) -... | {
"pile_set_name": "DM Mathematics"
} |
+ 2
Let h(a) = 7*a**2 - 3*a - 49. Let c(b) = 2*b**2 + b - 16. Give -3*c(m) + h(m).
m**2 - 6*m - 1
Let u(q) = 7*q - 5. Let z(b) = -b - 2. Let s(f) = 30*f + 51. Let j(x) = -2*s(x) - 54*z(x). Give -4*j(c) - 3*u(c).
3*c - 9
Let b(q) = 5*q**2 - 10*q**2 - 2 - 50*q**3 + 3*q**2 + 57*q**3. Let r(g) = 21*g**3 - 6*g**2 - 7. What... | {
"pile_set_name": "DM Mathematics"
} |
**2. Determine a(q(l)).
12500*l**2
Let q(c) = 2526*c**2. Let i(z) = -74*z. What is i(q(s))?
-186924*s**2
Let k(t) = -10*t. Let g(o) = 8*o + 376. Calculate g(k(m)).
-80*m + 376
Let q(t) = -t**3 + 3*t**2 + 4*t - 4. Let m be q(4). Let o = 34 - m. Let v(h) = h - o + 38. Let s(j) = -6*j**2. What is v(s(n))?
-6*n**2
Let y(f)... | {
"pile_set_name": "DM Mathematics"
} |
0, -1
Put -817, 4, 177, -4 in descending order.
177, 4, -4, -817
Sort 14, 48, -4, -5, 39 in increasing order.
-5, -4, 14, 39, 48
Sort -12277, 170, 3.
-12277, 3, 170
Put -4, 4, -1, 956713, -2, 1, 2 in descending order.
956713, 4, 2, 1, -1, -2, -4
Sort -1393, -28, -48.
-1393, -48, -28
Put -1, -709, -25, 1/8, -2 in incre... | {
"pile_set_name": "DM Mathematics"
} |
z - 10 = 2*w. Let k be 10/3 + -1 + 10/15. Solve z + k = -a for a.
-3
Suppose -7 = y + i + 3*i, y = i + 8. Solve 2*j - 7*j = -y for j.
1
Suppose f + 6 = -3*h + 4*f, -3*h + 6 = 3*f. Solve h = -m + 4 - 7 for m.
-3
Suppose -4*h - h + 20 = 0, -5*j - 21 = h. Let q = j - -10. Solve -2*r - q = 3*r for r.
-1
Let n = -117 + 77. ... | {
"pile_set_name": "DM Mathematics"
} |
- 7 = -4*v. Let r be (-23)/v + 13 + -10. What is the nearest to -0.1 in h, 1, r?
r
Let k = -43 + 47. Let l = -827/15 + 55. Which is the nearest to 2? (a) -2 (b) l (c) k
c
Let y = -117 - -117.2. Let b = 0.9 - -3.1. What is the nearest to 0.1 in -4, b, y?
y
Let s = -2.4 - -2.5. Let k = 0.67 + -0.27. What is the neare... | {
"pile_set_name": "DM Mathematics"
} |
5.82 + 10.08. Let f = -56.52 + 0.52. Let n = m + f. Which is the third biggest value? (a) -1/9 (b) n (c) 6
a
Let h = 414.83 - 383.8. Let n = 31 - h. Let t = -0.17 + n. Which is the fourth smallest value? (a) 2/7 (b) -0.3 (c) t (d) 2/5
d
Suppose 2*a - 198 = -82. Suppose -55 = -3*t - a. What is the second biggest ... | {
"pile_set_name": "DM Mathematics"
} |
9, what is 1048 - -5?
1054
In base 13, what is 3 - -5a0?
5a3
In base 7, what is -2 + -103?
-105
In base 13, what is -c66 + 4?
-c62
In base 10, what is -20 + 79?
59
In base 15, what is -a - 2?
-c
In base 5, what is -10 - -14003?
13443
In base 12, what is -2 + 605?
603
In base 2, what is -101 + -1001010?
-1001111
In base... | {
"pile_set_name": "DM Mathematics"
} |
) - 3*r(x)?
91*x + 3
Let g(y) = -2*y**2 + 7*y + 4. Suppose 68*t + 35 = 61*t. Let z(w) = w**2 - 4*w - 2. What is t*z(f) - 3*g(f)?
f**2 - f - 2
Let w(j) = -2*j + 2. Let n = -19 + 23. Suppose -n = -5*o + 6. Let q(r) = -2*r + 3. Give o*q(v) - 3*w(v).
2*v
Let w = 34 + -9. Suppose 3 = 4*j - w. Let c(t) = j*t + 2*t**2 - 8*t -... | {
"pile_set_name": "DM Mathematics"
} |
- -2 - 2 - (0 - 12))?
46
What is the value of 50 - (81 + -22) - (32 - 6)?
-35
12 + -1 - (2 - (0 - -19 - (-62 + 9)))
81
Calculate (-86 - (-55 - 68)) + -115.
-78
What is the value of -3 - (-2 - -2 - (11 - 24))?
-16
Evaluate 46 + (-21 - (66 - 34)).
-7
Evaluate (42 - 14) + -11 + -32 + 0.
-15
Evaluate -70 + (-65 - -122) - ... | {
"pile_set_name": "DM Mathematics"
} |
e form r + n*y and give n.
12
Rearrange -4 + 9*j**2 + 1 + 4 to g + a*j**2 + h*j and give g.
1
Express (2*s - 24 + 26 - 13*s)*(4 + 2*s**2 - 4) in the form f*s**3 + b*s**2 + t*s + l and give b.
4
Express (-4 + 3 - 1)*(3*z + 7*z - 25*z) in the form r + p*z and give p.
30
Rearrange (-6 + 4 + 0)*(-2*x + 0*x + 0*x + (33*x - ... | {
"pile_set_name": "DM Mathematics"
} |
= 0 + 2*p + 1 + 0 - 3*p. Let z(v) = -2*h(v) - 4*j(v). Let a(b) = 2*b**2. Determine z(a(q)).
-4*q**2
Let t(g) = -g**2. Let y = 0 - -2. Let h be ((-3)/2)/(14/(-28)). Let b(d) = -y*d - d - h*d. What is b(t(a))?
6*a**2
Let g(n) = 2*n**2 - 3*n. Let x(i) = -2*i**2 + 4*i. Let w(f) = -4*g(f) - 3*x(f). Let d(r) = -2*r**2. Deter... | {
"pile_set_name": "DM Mathematics"
} |
+ z*f and give d.
2
Express 21 - 3 + o + 2 + 27 as k + u*o and give u.
1
Rearrange 4*t**2 - 4*t**2 - 2*t**3 + (-2 - 1 + 2)*(-7 + 2 + 2)*(-2*t + 5*t - t)*(2*t + 6*t**2 - 2*t) to k*t + x*t**3 + m*t**2 + j and give x.
34
Rearrange 245*p**3 - p - 249*p**3 + 0*p to the form a*p**3 + x + b*p**2 + j*p and give j.
-1
Rearrange... | {
"pile_set_name": "DM Mathematics"
} |
-70. What is the remainder when 7046 is divided by u?
90
Let y(b) = -3 + b - 5*b + 3*b - 6*b - 2*b**2. Let u be y(-3). Suppose u = 5*v + 5*v - 80. What is the remainder when 20 is divided by v?
4
Suppose -2378 + 623 = 13*k. Calculate the remainder when 107 is divided by 2/9 - 3615/k.
26
Let h(w) = -2*w**2 + 3*w + 75. ... | {
"pile_set_name": "DM Mathematics"
} |
iple of 17?
True
Is 2234 a multiple of 7?
False
Is 57 a factor of 7296?
True
Is 20 a factor of 2740?
True
Does 51 divide 10259?
False
Is 90067 a multiple of 230?
False
Is 17538 a multiple of 3?
True
Is 1610 a multiple of 23?
True
Is 46 a factor of 34960?
True
Is 30296 a multiple of 28?
True
Is 22038 a multiple of 56?
F... | {
"pile_set_name": "DM Mathematics"
} |
.
-19200*sqrt(2) + 54796
Simplify -1*(-2 + 3*-6*sqrt(175)*3 + -1).
3 + 270*sqrt(7)
Simplify (6*(-1 + -2 + ((-1*(1 + sqrt(76) + sqrt(76)) - sqrt(76) - sqrt(76)) + -3)*3) + -4)**2.
27072*sqrt(19) + 402820
Simplify 3*-2*sqrt(96)/sqrt(3)*-5 - (sqrt(50) - (sqrt(800) - 2*sqrt(800)) - (-1 + sqrt(50) + sqrt(50))*-1)**2.
-2451 ... | {
"pile_set_name": "DM Mathematics"
} |
= 4*m + 9, m + 0*x - x = -3. Suppose m = g - 3*g - 10. Let z be (-1)/((15/9)/g). Solve -18 = 5*w + t - z*t, -5*w = -t + 19 for w.
-4
Let c(y) = y + 16. Let k be c(-13). Solve k*s = 4*s - o + 1, 0 = -s + 2*o - 1 for s.
-1
Let q(j) = -j + 12. Let z(f) = f**2 + f + 6. Let d be z(0). Let l be q(d). Let p = 6 - l. Solve p =... | {
"pile_set_name": "DM Mathematics"
} |
equal to p?
True
Let p(x) = x**3 + 5*x**2 - 2*x + 83. Let c be p(-7). Let s be 51/(-84) + (-2)/(-8). Which is bigger: s or c?
s
Let o be (-2)/((18/(-4))/(-9)). Let l be 3*-13 + o/(8/(-6)). Is l at most as big as -2/5?
True
Let i be (2 + -2)*(-5)/10. Let p = 0 - i. Suppose -6*r = -p*r. Which is greater: -2/5 or r?
r
Le... | {
"pile_set_name": "DM Mathematics"
} |
h respect to l.
1
Let o be (0/4)/(-2) + 3. What is the second derivative of 2*a**o - 2*a + 2*a**3 - 3*a wrt a?
24*a
Let i(y) be the first derivative of -19*y**7/7 - 22*y**3/3 + 47. What is the third derivative of i(j) wrt j?
-2280*j**3
Let o(c) = 14*c - 12. Let h(k) = 28*k - 24. Let x(r) = -2*h(r) + 5*o(r). What is the... | {
"pile_set_name": "DM Mathematics"
} |
- 774*v**3.
-18*v**3
Collect the terms in -3*w + 20899*w**2 + 3*w - 20901*w**2.
-2*w**2
Collect the terms in 1107 - 385 - 6*j + 3111 + 2*j.
-4*j + 3833
Collect the terms in -n**2 - 68*n**2 + 8 - 8.
-69*n**2
Collect the terms in -156807*n**3 + 39205*n**3 + 39200*n**3 + 39199*n**3 + 39206*n**3.
3*n**3
Collect the terms ... | {
"pile_set_name": "DM Mathematics"
} |
*q - 34, 0 = 2*g + q - 31 for g.
13
Solve 5*f = -8*w + 16 - 15, -3*f + 18*w - 40 - 5 = 0 for f.
-3
Solve 2*k + 178*y - 182*y - 34 = 0, -11*y - 101 = -1304*k + 1301*k for k.
-3
Solve y - 3*y = 4*m - 12 + 22, -18*y = -4*m - 30 for m.
-3
Solve -5937*a = -6*h - 5942*a - 83, h - 3*a + 33 = 0 for h.
-18
Solve -2*h + 2*l = -1... | {
"pile_set_name": "DM Mathematics"
} |
t of 2079839 to the nearest integer?
11
What is 12886644 to the power of 1/7, to the nearest integer?
10
What is the fifth root of 9134030 to the nearest integer?
25
What is the cube root of 31742 to the nearest integer?
32
What is 261477 to the power of 1/10, to the nearest integer?
3
What is the cube root of 864579 t... | {
"pile_set_name": "DM Mathematics"
} |
0 = j - 1. Calculate the highest common factor of c and 2074.
34
Suppose -3 + 7 = 2*w + 2*y, 2*w - 2*y = 20. Suppose 0 = -25*s + 22*s + w. What is the greatest common divisor of s and 2?
2
Let g(x) = 7*x + 47. Let i be g(-6). Suppose 159 = d + 3*d + i*b, 2*b = d - 30. Calculate the greatest common divisor of d and 6.
6... | {
"pile_set_name": "DM Mathematics"
} |
-6*g(y) - 11*n(y). Let x(p) = 3 + p - 3. Determine x(j(w)).
-w**2
Let l(t) = -331*t - t**2 + 665*t - 334*t. Let n(g) = 2*g**2 - 13. Give l(n(q)).
-4*q**4 + 52*q**2 - 169
Let h(p) be the first derivative of 13*p**2/2 - 9*p - 5. Let i(y) = 3*y - 2. Let c(f) = 2*h(f) - 9*i(f). Let u(k) = 10*k. What is u(c(r))?
-10*r
Let ... | {
"pile_set_name": "DM Mathematics"
} |
ppose 51*d - 262 - 809 = 0. Solve -10*t - 44 = -d*t for t.
4
Let a(o) = -6*o**2 - o + 3. Let c(y) = -12*y**2 - y + 6. Let q(p) = -7*a(p) + 3*c(p). Let w be q(3). Let f = -58 + w. Solve -h + f = -2*h for h.
-5
Let b be -12*((-756)/(-1764) + 82/(-28)). Solve -b + 55 = -5*v for v.
-5
Let p = 20531 - 19972. Solve -6*x - 59... | {
"pile_set_name": "DM Mathematics"
} |
there in 43196.52 millennia?
518358240
How many micrograms are there in thirteen eighths of a milligram?
1625
How many microseconds are there in 82.39861 nanoseconds?
0.08239861
How many nanometers are there in 7/2 of a micrometer?
3500
How many years are there in 4.615785 decades?
46.15785
What is thirty-four fifths o... | {
"pile_set_name": "DM Mathematics"
} |
5*1*(sqrt(180)*1 + sqrt(180))/sqrt(9))/(3*(sqrt(180)/(sqrt(20)/sqrt(4)))/sqrt(9)).
-10*sqrt(5)/3
Simplify (((sqrt(80) - (sqrt(80)*-1 + -1)) + sqrt(80))**2 - ((2*sqrt(180))/sqrt(4))**2) + 1 + (sqrt(60) - sqrt(240)/sqrt(4)*3)/(1*sqrt(1452)).
262*sqrt(5)/11 + 542
Simplify (((4 + (sqrt(320)*-1 - sqrt(320)) - sqrt(320))**2 ... | {
"pile_set_name": "DM Mathematics"
} |
5. Let d(z) = p*v(z) + 8*i(z). Calculate d(b(h)).
-4*h**2
Let y(c) = -c**2. Let l(q) be the second derivative of -q**5/60 + q**3/6 - 3*q. Let a(j) be the second derivative of l(j). Give y(a(k)).
-4*k**2
Let q(f) = 3*f**2. Let t(p) = -3. Let o(s) = -s - 5. Let z(i) = 3*o(i) - 5*t(i). Calculate z(q(m)).
-9*m**2
Let x(o) ... | {
"pile_set_name": "DM Mathematics"
} |
ator of ((-15)/25)/((-8)/z) and (5*4/420)/((-6)/729).
140
Calculate the common denominator of 3 - (-21)/(-9) - (-420)/(-306) and (6 - 4)*2/40.
170
Let w = 1288 - 903. Calculate the lowest common multiple of 105 and w.
1155
Let v(r) = 20*r**2 - r + 1. Let p be v(1). Suppose 0*o + o - p = 0. What is the smallest common m... | {
"pile_set_name": "DM Mathematics"
} |
(p*p**(-1/6)*p*p*p**6*p)*((p*p*p**(-5))/(p*((p/(p**0*p))/p)/p*p*p))/(p/p**(-2)*p*p*p/p**(2/11)) assuming p is positive.
p**(-4597/66)
Simplify ((c/((c/(((c**(-1)*c)/c*c)/c))/c))/c)**(2/15)/((c*c*c*c**(-1))/c*c*c**(4/7))*c**(-1/4)/(c**(4/3)*c)*(c/(c*c**(-1/3)))**(-24) assuming c is positive.
c**(-5581/420)
Simplify (w**... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 1 + 1 - 3 to u*d + a*d**2 + x and give u.
2
Rearrange -18*h + 10*h + 6*h to the form n + v*h and give v.
-2
Rearrange 6*y - 6*y + 5*y to the form d*y + k and give d.
5
Express -3*d - 5*d + 0*d in the form w + p*d and give p.
-8
Express 2*n + 4*n**3 - 6 - n**3 - 4*n**3 - 2*n**4 in the form h*n**3 + r*n + m + y*n**2... | {
"pile_set_name": "DM Mathematics"
} |
(-3*(4*sqrt(96)/sqrt(3) + sqrt(288) + -1 + -1*(-1 + sqrt(2))))**2.
13122
Simplify (sqrt(56)/(sqrt(4)*-2))/sqrt(7) - (sqrt(6)/(sqrt(3) - sqrt(27)) - sqrt(128)).
8*sqrt(2)
Simplify sqrt(192)/(sqrt(24) + sqrt(6) - sqrt(6)) - (2 + sqrt(160)/sqrt(5)).
-2*sqrt(2) - 2
Simplify sqrt(60)/(sqrt(72)/sqrt(6) + sqrt(12)) + -2 - (s... | {
"pile_set_name": "DM Mathematics"
} |
Let h(y) = y**2 + 3*y. Let l(c) = -3*c**2 + 27*c + 63. Let n be l(11). Give h(n).
0
Let b(g) = 13*g + 2. Let i be ((-550)/33)/(-5)*30/25. Determine b(i).
54
Let q(k) = -4*k - 9. Let g be q(-8). Let w = g - 16. Let u be 17 + -15 + -1*w. Let m(d) = -d - 6. Calculate m(u).
-1
Let g(x) = -5*x**2 + 75*x - 268. Let r(q) = 2*... | {
"pile_set_name": "DM Mathematics"
} |
-12/3191
167 divided by -66
-167/66
Calculate 526488 divided by -8.
-65811
What is -3959150 divided by 791830?
-5
Calculate 467870 divided by 5.
93574
What is 15 divided by 9705?
1/647
What is -7997 divided by 1?
-7997
-17656 divided by 4414
-4
Divide -116 by 2696.
-29/674
94 divided by -217
-94/217
Divide 82863 by 9.
... | {
"pile_set_name": "DM Mathematics"
} |
- 2*r - r = -60. Calculate the least common multiple of w and g.
40
Calculate the common denominator of (27/21)/((-40)/(-364)) and -38/9.
90
Let i be ((-32)/(-10))/(6/30). Let m = i + -1. Let v = m - 8. What is the smallest common multiple of v and 9?
63
Let u = -15/1408 - -44749/4224. Let l(q) = -6*q + 3. Let c be l(5... | {
"pile_set_name": "DM Mathematics"
} |
(c) -2/7 (d) -0.08
d
What is the fourth biggest value in -3, -2, 2/25, -0.3?
-3
What is the second smallest value in 4, -6, 2/7, -1/9?
-1/9
What is the smallest value in -505, -4, -0.5?
-505
What is the second smallest value in -5, -4/3, -66, 8/11, 1/2?
-5
What is the smallest value in 5, -5, -4, -73, -0.5?
-73
What i... | {
"pile_set_name": "DM Mathematics"
} |
at are the prime factors of s?
53
Let x(o) = 2*o + 1. Let q be -6*2/(-6)*1. List the prime factors of x(q).
5
Let k(w) = -22*w + 1. Let l be k(1). What are the prime factors of (-1)/((3/l)/1)?
7
Suppose -4*d = d - 35. Let b(m) = 2*m**2 + 2*m - 2. Let v be b(-2). Suppose 3*p - 5*r = 40, v*r = 5*p + d*r. What are the pri... | {
"pile_set_name": "DM Mathematics"
} |
5*m - 9*m - 7*m + 4*m - 10. Let c be i(-8). Suppose -4*k = -k - c. Is k a multiple of 7?
True
Let i(c) = 2*c**2 - 31*c + 12. Let b(m) = 7*m**2 - 123*m + 48. Let o(d) = -2*b(d) + 9*i(d). Does 19 divide o(11)?
True
Let x = 387 + -290. Is 4 a factor of x?
False
Let y = 21 - 0. Let j = -7 + y. Suppose -4*t + x - 2 = -7, 4*... | {
"pile_set_name": "DM Mathematics"
} |
f(3). Solve c*b = 3*b for b.
0
Suppose 2*n + n = 2*a - 2, -5*a = -5. Suppose y = -n*y. Solve -6*s + 2*s + 16 = y for s.
4
Let b = 3 + 0. Suppose 6*l + 5 = 7*l. Let n be 6 - -1 - (-4 + l). Solve b*y - 5*y + n = 0 for y.
3
Let a be ((-180)/1)/(-2) - -2. Suppose 4*d + a = 8*d. Suppose 0*n - 12 = -3*n. Solve n*o = -d + 7 ... | {
"pile_set_name": "DM Mathematics"
} |
5, c, 1
Suppose -3*c - 3*h + 0*h = 0, 3*c + 4*h = -3. Suppose v = -2 - c. Sort v, -3, -0.4 in descending order.
-0.4, -3, v
Let v = 10 - 6. Let o = 61 + -56.1. Let q = o + 0.1. Put -2, v, q in descending order.
q, v, -2
Let j be (-68)/(-20) - (-3)/5. Let w(u) = u**3 - 2*u**2 - 2*u + 3. Let b be w(2). Let y = 1/79 - -7... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of b(i) wrt i.
-25854
Let n(r) be the third derivative of 0*r**3 - 27*r + 0 + 0*r**7 + 0*r**6 + 2*r**2 + 0*r**5 - 13/8*r**4 - 1/16*r**8. Find the second derivative of n(p) wrt p.
-420*p**3
Let d(r) be the first derivative of -2682*r**2 + 4607*r - 7014. What is the first derivative of d(v) wrt v?
-5364... | {
"pile_set_name": "DM Mathematics"
} |
624*n - 450. What is the remainder when 894 is divided by v?
18
Suppose -2*s = -s. Suppose -2*v = -3*y + 17, 3*y + s*y - v - 16 = 0. What is the remainder when (2 + 1)/(-12) - 343/(-28) is divided by y?
2
Suppose 2*z + 4*t - 869 = -183, 0 = -z + 2*t + 327. Suppose u - w + z = 5*u, -u = 2*w - 82. What is the remainder ... | {
"pile_set_name": "DM Mathematics"
} |
*v = -t - 13*v + 47. What is the remainder when 49 is divided by t?
22
Suppose -m + 10*m = 108. Calculate the remainder when 6*(-1)/2*(-11 + -16) is divided by m.
9
Let m be -6 + 13 + -1 - 9. What is the remainder when 17 is divided by ((-396)/8)/11*6/m?
8
Suppose -3*a + 2*x + 8995 - 894 = 0, -5*x = a - 2672. Calculate... | {
"pile_set_name": "DM Mathematics"
} |
re in 6/5 of a millennium?
1200
Convert 0.546521g to tonnes.
0.000000546521
How many centimeters are there in 1/4 of a meter?
25
Convert 177598.1214 microseconds to weeks.
0.0000002936476875
What is eighteen fifths of a centimeter in micrometers?
36000
What is 1/5 of a millennium in decades?
20
What is one twentieth of... | {
"pile_set_name": "DM Mathematics"
} |
511
What is 300069 to the power of 1/2, to the nearest integer?
548
What is the fifth root of 218596 to the nearest integer?
12
What is the fifth root of 6288105 to the nearest integer?
23
What is 7119473 to the power of 1/2, to the nearest integer?
2668
What is 856946 to the power of 1/2, to the nearest integer?
926
... | {
"pile_set_name": "DM Mathematics"
} |
= 9 + -8.93. Let p = -1.83 - o. Let w = p - -2. Is w < 8?
True
Let t be (-4)/34 + (-7 - (-1244)/170). Suppose 0 = 4*g + 4*y, 0*y + 3*y = 3*g - 6. Which is greater: t or g?
g
Let g(i) = 11 - 7 + 2*i - 2*i + i**3 + i**2. Let d be g(0). Suppose 0 = -d*w + 3*l - 10 - 3, -4*l = 3*w - 9. Is -0.2 at most w?
False
Let r(h) = ... | {
"pile_set_name": "DM Mathematics"
} |
)/7)?
6/11
Calculate 2/12*(-3813)/(-10168).
1/16
Evaluate 10*-33*8/(-176).
15
What is -6*2/(-21)*(-2282)/(-1467)?
8/9
What is 26*(((-42)/8)/7)/((-6)/(-4))?
-13
16/(-68)*(-35)/(-70)
-2/17
(((-15)/(-21))/(-1))/(13*(-3)/(-273))
-5
What is the value of 102/136*28/21?
1
What is the value of ((-4)/(-7))/((-8)/140)?
-10
18/(-... | {
"pile_set_name": "DM Mathematics"
} |
/(-3) - 1/3 is divided by t?
25
Let p(r) = -2*r**3 - 2*r**2 - 8*r - 5. What is the remainder when p(-2) is divided by 14?
5
Suppose -3*g + 368 = -x, -16*g + 18*g + 5*x - 234 = 0. What is the remainder when g is divided by 21?
17
Suppose 17*b - 264 + 128 = 0. Calculate the remainder when 1390 is divided by b.
6
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from {r: 8, v: 8, a: 1}?
8/85
Calculate prob of picking 1 n and 2 k when three letters picked without replacement from {n: 7, k: 4}.
14/55
What is prob of picking 4 o when four letters picked without replacement from {o: 7, f: 1}?
1/2
Three letters picked without replacement from fcccccf. What is... | {
"pile_set_name": "DM Mathematics"
} |
(b) 0.05 (c) 2/3 (d) -8
b
Let r = -74524 + 6707267/90. Let x = -7/18 + r. What is the nearest to -1 in -3, 0.1, x?
0.1
Let m be -2 - (0 + 24/(-15)). Let t = -0.21 - -0.31. Let p = 0.8 - -0.2. What is the nearest to t in m, 3, p?
m
Let v = 454 + -1363/3. Which is the closest to 137? (a) v (b) 1 (c) -2/9 (d) -3
b
L... | {
"pile_set_name": "DM Mathematics"
} |
lse
Is 3716 a multiple of 15?
False
Is 1184 a multiple of 3?
False
Does 70 divide 2030?
True
Is 8840 a multiple of 5?
True
Is 1872 a multiple of 8?
True
Does 5 divide 415?
True
Is 14 a factor of 4482?
False
Is 16 a factor of 297?
False
Is 33 a factor of 21428?
False
Does 116 divide 54130?
False
Is 12280 a multiple of 7... | {
"pile_set_name": "DM Mathematics"
} |
respect to q.
12*q**3
What is the third derivative of 368 + 7*q**4 + q**2 + 955*q**4 - 368 wrt q?
23088*q
Let j(x) be the third derivative of 7/12*x**4 + 0 - 15*x**2 - 1/6*x**3 + 0*x. Find the first derivative of j(i) wrt i.
14
Let n = 148 - -118. Find the second derivative of n*r**2 - 266*r**2 - 8*r**4 - 4*r**4 + 7*r... | {
"pile_set_name": "DM Mathematics"
} |
2 + 2*x**3 + x**j + 1. What is o*m(t) + f(t)?
t**3
Let k(a) = -a**2 - a - 1. Let o(v) = -v**2 - v - 1. Let z = 22 + -20. Let j = -2 - 2. Calculate j*o(c) + z*k(c).
2*c**2 + 2*c + 2
Let b(l) = 3*l + 2. Let r(k) = k**3 + 11*k**2 + 5. Let m be r(-11). Let f(z) = 7*z + 5. Determine m*b(d) - 2*f(d).
d
Let t(u) = -5*u**2 - 7... | {
"pile_set_name": "DM Mathematics"
} |
. What is the remainder when 37 is divided by j(-3)?
11
Let p(l) = -7*l + 11. What is the remainder when p(-3) is divided by 11?
10
Let g(a) = 5*a**2. Calculate the remainder when g(2) is divided by 11.
9
Calculate the remainder when 83 is divided by (1 - (-125)/(-20))*-4.
20
Let j(a) = -5*a - 2. Let q be j(-2). Calcul... | {
"pile_set_name": "DM Mathematics"
} |
3*k**2 - 3*k. Let i(z) = j(z) - 5*n(z). Find the second derivative of i(h) wrt h.
4
Let q(c) be the second derivative of 5*c**6/6 + 2*c**4 + 36*c. Find the third derivative of q(r) wrt r.
600*r
Let w(t) be the second derivative of t**5/2 + 4*t**2 - 30*t. Differentiate w(a) with respect to a.
30*a**2
Let t(c) = 11*c**4 ... | {
"pile_set_name": "DM Mathematics"
} |
2/21 (d) -0.5 (e) 0.1
a
What is the third smallest value in -37.19, 1/9, 2?
2
Which is the fifth smallest value? (a) 1/8 (b) -63/95 (c) 1/3 (d) -23 (e) 0.2 (f) 2 (g) 4/9
c
What is the fourth smallest value in -5, 7, -0.3, -7, -0.9, 1/2?
-0.3
Which is the second smallest value? (a) -3 (b) 2/11 (c) 17/9 (d)... | {
"pile_set_name": "DM Mathematics"
} |
5. Suppose 2*j - 1013 = -l*z, -108 = 5*z + j - 1787. Is z a composite number?
True
Let t = 289 + -286. Let p be (-34)/((1/(-2))/(-1)). Is (-1 + t/(-4))*p a composite number?
True
Let v(i) = 39 - 43 - 7*i**2 - i**3 - 2*i**2. Let y be v(-9). Is 2589*((-26)/(-6) + y) a prime number?
True
Is (-9)/(-6)*(3 - 4614/(-18)) prim... | {
"pile_set_name": "DM Mathematics"
} |
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