text stringlengths 270 8.19k | meta dict |
|---|---|
t = -2664 - -2664. Factor -2/11*r**2 + t + 2/11*r.
-2*r*(r - 1)/11
Suppose 3*o - 24 = -3*b, 0*o - 4*o = 2*b - 26. Suppose v = -4*i - 4, 5*v - b*i - 43 = -2*i. Factor -v*q**3 - 6 + 9*q - 8*q**3 + 13*q**3.
-3*(q - 1)**2*(q + 2)
Let a(h) be the first derivative of h**6/45 + h**5/10 - h**4/9 - 4*h**3/3 - 8*h**2/3 - 23*h + ... | {
"pile_set_name": "DM Mathematics"
} |
- 5 + 3) + 2*q**2 - 5*q**2 - 38*q**2 to n + u*q**2 + l*q and give u.
-40
Rearrange -22*t + 64 - 64 to p*t + w and give p.
-22
Rearrange t**2 - 2 - 3*t**2 + 6*t**3 + t**2 + 0*t**2 to the form g*t**3 + s*t + q*t**2 + l and give q.
-1
Rearrange -2*k + 5*k**2 - 5*k**2 + 2*k**3 + 8*k to c + z*k + p*k**2 + j*k**3 and give z... | {
"pile_set_name": "DM Mathematics"
} |
0 - (-4)/1. Suppose -t*p - 238 + 974 = z. List the prime factors of p.
2, 23
Let d(g) = 14*g + 9*g - 22*g + 11. Let o be d(-7). Suppose -2*b + 212 - 64 = -o*x, -5*x = b - 74. List the prime factors of b.
2, 37
Suppose 0*y = 4*y - 20. Suppose 0*r - 5*f + 25 = 5*r, 20 = -y*r + 4*f. List the prime factors of 3 + (r - 3) ... | {
"pile_set_name": "DM Mathematics"
} |
ulate -25 + (3 - -2) + -31 + 6 + 21.
-24
What is the value of -4 + -7 + (58 - 41)?
6
27 - ((-10 - -17) + -13 - -18)
15
-1 + 26 + 0 + (26 - 25)
26
Evaluate (-1 + 3 - 0) + -9.
-7
Calculate (-8 - -3) + (-18 - -16 - -13).
6
Calculate 14 + -5 + -11 + 12.
10
Evaluate 23 + -8 + -50 + 34.
-1
Calculate -24 - (-21 + -7) - 3.
1
C... | {
"pile_set_name": "DM Mathematics"
} |
hich is the second smallest value? (a) -0.4 (b) j (c) 2
a
Let a(q) be the first derivative of q**4 + q**3/3 - q + 1. Let s be a(1). Let o = -3.2 + 3.1. What is the third smallest value in o, s, 0.4?
s
Let v = -8 + 4. Let q = 23 + -22.1. Let g = q - -0.1. Which is the second biggest value? (a) v (b) -1/7 (c) g
b
L... | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence rrk?
1/28
Two letters picked without replacement from {a: 7, q: 6, t: 1, s: 5}. Give prob of sequence ta.
7/342
Two letters picked without replacement from {x: 6, v: 4}. Give prob of sequence vv.
2/15
What is prob of sequence ol when two letters picked without replacement from ollxllrllxrlllelo... | {
"pile_set_name": "DM Mathematics"
} |
e 0 = 2*h + 4*o, 4*h + 4*o + a = 5. What is the first derivative of 0*y**4 - y**4 - y**4 - h + 7 wrt y?
-8*y**3
Let c(g) = -g + 18. Let s be c(-6). Differentiate -16*m + 56 - 23*m - 37*m + s*m wrt m.
-52
What is the second derivative of -8*h + 6*h + 254*h**2 - 126 + 240*h**2 - 11*h + 118 wrt h?
988
Find the second deri... | {
"pile_set_name": "DM Mathematics"
} |
- 9 = -0. What is the third derivative of 4*o**u + 4*o**2 - 39 + 39 wrt o?
24
Suppose 4*g + 5*u - 36 = 0, 16 = 3*g + 2*g - u. Suppose a = -4*d + 8*d - 12, -g*a + 15 = 5*d. What is the first derivative of -4 + 1 + 1 - 2*b + a wrt b?
-2
Let h(v) be the third derivative of v**6/120 - v**5/12 + 3*v**2. What is the third d... | {
"pile_set_name": "DM Mathematics"
} |
lennium?
21000
Convert 714.9496 millimeters to meters.
0.7149496
How many grams are there in twenty-one fifths of a kilogram?
4200
How many micrometers are there in 2848.837nm?
2.848837
What is 32.31113 millennia in decades?
3231.113
How many seconds are there in 610060.3 minutes?
36603618
What is five eighths of a gra... | {
"pile_set_name": "DM Mathematics"
} |
9
Suppose 7*i - 924 = -98. Let l = i + -26. What is the units digit of l?
2
Let t(i) = -2*i**3 + 19*i**2 + 37*i - 8. Let x be t(11). What is the hundreds digit of 10540/x + (-18)/(-81) - 4?
2
Let d = -209 - -187. Let k(q) = -26*q + 107. What is the tens digit of k(d)?
7
Suppose -4*n - 12 = d + 6, -4*n - 20 = 0. Suppose... | {
"pile_set_name": "DM Mathematics"
} |
-28 + 3639?
3611
In base 12, what is 2 + 696552a3?
696552a5
In base 12, what is a173 + -269?
9b06
In base 16, what is -5 - 2063af7?
-2063afc
In base 5, what is 131301 - -4420?
141221
In base 8, what is 1424547 - -74?
1424643
In base 8, what is -100304 + 5332?
-72752
In base 10, what is -20373268 - -2?
-20373266
In bas... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -2*x - 17 = -23. Suppose 8*q + 0 - 64 = 0. Solve 4*f = -2*u - q, 0 = -2*u + f + x*f - 8 for u.
-4
Let j = 66 + -50. Suppose -j*v + 18 = -15*v + 4*c, 5*v - 2*c = 24. Solve b + 3*g = -v, 4*b - 8 = g + 7 for b.
3
Suppose 5*i = 10*i - 9*i. Let w be (-91)/(-7) + 3 + i. Suppose -7*p + w = -12. Solve 4*a + 0 = 3*v - ... | {
"pile_set_name": "DM Mathematics"
} |
+ 13 = -b + 3*k. Suppose 0 = 5*f + 25, -21*r + 25*r - 4*f - 1348 = 0. Let z = -334 + r. Sort b, 6, z in ascending order.
b, z, 6
Let x = -0.63 - -0.6. Let w = -9/91 + -93/1820. Let a = w + -13/20. Sort a, x, -4 in decreasing order.
x, a, -4
Let m be (-56)/266*1/(-2). Let y be (1 + -2)*4/450. Let a = -233/900 - y. Sort ... | {
"pile_set_name": "DM Mathematics"
} |
and 0.6.
-715092141113.4
What is the distance between -1 and 298151017744?
298151017745
5519.4539309 - -0.08
5519.5339309
Calculate 38563871 + -11566943.
26996928
-12224138+-29352.66
-12253490.66
What is 52733742186 plus -0.35?
52733742185.65
What is the difference between -0.026702 and -10861188180?
10861188179.973298... | {
"pile_set_name": "DM Mathematics"
} |
(7). Solve 3 = -5*z + b for z.
1
Let f = 0 - 0. Suppose -4*b + 15 - 7 = f. Solve -b*h = -h + 4 for h.
-4
Suppose 2*z - 2*w = -z + 17, 4*w = 5*z - 29. Let k = 20 - 14. Solve 0 = -z*u + k - 1 for u.
1
Suppose g = 4*r - 2*g + 1, 3*r + 3 = 3*g. Suppose x - r*v + 7 = -7*v, 1 = 3*x + 4*v. Solve -x*b - 2*b - 20 = 0 for b.
-4
... | {
"pile_set_name": "DM Mathematics"
} |
- 44*m**3 - 4*m**2 + 44*m.
4*m*(m - 11)*(m - 1)*(m + 1)
Factor -5*o**5 + 10*o**4 - 10*o**2 + 5*o.
-5*o*(o - 1)**3*(o + 1)
Determine m, given that 4*m**2/5 - 34*m/5 - 18/5 = 0.
-1/2, 9
Find n, given that -2*n**4/15 - 22*n**3/15 - 2*n**2/5 + 406*n/15 + 392/15 = 0.
-7, -1, 4
Factor -3*g**4 - 12*g**3 - 3*g**2 + 18*g.
-3*g*... | {
"pile_set_name": "DM Mathematics"
} |
ithout replacement from ppppppwwpwwpw?
56/143
Three letters picked without replacement from gsgkkjsgeekk. Give prob of picking 2 s and 1 e.
1/110
Four letters picked without replacement from vddzztvdzddgtvdz. What is prob of picking 1 t, 1 z, and 2 d?
6/91
Three letters picked without replacement from ypycynfffppyfyyuu... | {
"pile_set_name": "DM Mathematics"
} |
at is prob of picking 1 i and 1 q?
28/57
Two letters picked without replacement from {t: 2, u: 2, p: 1}. Give prob of picking 1 u and 1 p.
1/5
What is prob of picking 2 z and 2 o when four letters picked without replacement from zoooozooooooozoozzo?
455/1938
Three letters picked without replacement from {f: 17, r: 2}. ... | {
"pile_set_name": "DM Mathematics"
} |
(a) -11.4 (b) 1/7 (c) 0.8 (d) -0.16 (e) 0.1
d
Which is the closest to 2? (a) 1.19 (b) 0.6 (c) 0.5 (d) -0.4 (e) 7/8 (f) 4
a
Which is the closest to -0.15? (a) -1216 (b) -2/13 (c) 5 (d) 4/3
b
What is the nearest to 1336 in -6, -0.5, -13/6, -4?
-0.5
What is the closest to -116060 in 0.2, -2, 5/2, 4/3, 8/5,... | {
"pile_set_name": "DM Mathematics"
} |
> 7996353?
False
Is 9584543 at most as big as 9584524?
False
Which is greater: 2 or 554.6959?
554.6959
Which is smaller: 3/89190020 or -1?
-1
Which is greater: -285117 or -115?
-115
Which is smaller: 0.1 or 0.1022696696?
0.1
Which is greater: -34324825 or -1?
-1
Do -13/84729591 and 1 have the same value?
False
Are -307... | {
"pile_set_name": "DM Mathematics"
} |
Solve -2*n = -n - f for n.
1
Let z be (-2)/(1 + 6/(-4)). Let h = 10 + 10. Solve -a + h = z*a for a.
4
Let f be 3 - (4 + 0)*-5. Solve -5*l = 3 - f for l.
4
Let o(l) = -l**2 - 6*l + 9. Let r be o(-7). Solve 2*z - 16 = -r*z for z.
4
Let h = -4 + 5. Let s be 1 + (-2 + h)*1. Suppose 4*u - 4*f - 12 = s, -u = -4*u + 5*f + 7. ... | {
"pile_set_name": "DM Mathematics"
} |
of -41/15150 and -79/34845?
348450
Calculate the lowest common multiple of 1680 and 1740.
48720
What is the common denominator of -17/153590 and -83/130?
1996670
What is the common denominator of 187/932010 and -37/12?
1864020
What is the common denominator of -3/18781 and -71/182444?
1277108
Find the common denominato... | {
"pile_set_name": "DM Mathematics"
} |
. Let g = -5 - -3. What is the nearest to g in s, -2/3, 0.1?
-2/3
Let u = 5356 + -5361. Let g = 0.3 + 4.7. Which is the nearest to 0.1? (a) u (b) g (c) 0.3
c
Let g(d) = -d**3 - 4*d**2 - 3*d - 1. Let l be g(-3). Suppose -u = -0 - 2. Which is the closest to l? (a) 0 (b) 1/8 (c) u
a
Let w = 12 + -13. Let u be (-78)/... | {
"pile_set_name": "DM Mathematics"
} |
160?
13
What is the remainder when 259 is divided by 20?
19
What is the remainder when 394 is divided by 125?
19
What is the remainder when 882 is divided by 295?
292
Calculate the remainder when 2044 is divided by 54.
46
What is the remainder when 137 is divided by 132?
5
Calculate the remainder when 1044 is divided b... | {
"pile_set_name": "DM Mathematics"
} |
e -r = -4*p - d, -2*r + 135 = 2*p - v. Is r a multiple of 10?
True
Let y = -9910 + 19995. Does 97 divide y?
False
Suppose -160*m = 155*m - 324*m + 66096. Is m a multiple of 17?
True
Let j = 18458 - 18340. Is j a multiple of 2?
True
Let n be (-52)/(-65) - 56/(-5). Let z be (147/(-6) + 3/n)*4. Let i = 190 + z. Is i a mul... | {
"pile_set_name": "DM Mathematics"
} |
= 2554/3 + -10259/12. Find the common denominator of o and m.
48
Let w = -48 - -564. Calculate the least common multiple of 4300 and w.
12900
Let w = -73/11 + 12703/1914. What is the common denominator of w and -127/54?
17226
Let p = 70921/14 + -5068. Calculate the common denominator of p and ((-1378)/(-832))/(3/(-12)... | {
"pile_set_name": "DM Mathematics"
} |
of -2*p*s - 2737*p - 39273*s wrt p.
-2*s - 2737
Find the first derivative of -31378*c**2 - 10*c + 1942262.
-62756*c - 10
Differentiate 4*d**4 + 6*d**3 - 54*d**2 - 54466 wrt d.
16*d**3 + 18*d**2 - 108*d
Find the second derivative of -6*d**3*y**2 + 35*d**3*y + 678*d**2*y**3 - 78*d**2*y - 2*y + 2 wrt y.
-12*d**3 + 4068*d... | {
"pile_set_name": "DM Mathematics"
} |
w(h) = 6*h**2. Calculate z*i(l) + 6*w(l).
16*l**2
Suppose 5*c + 0*m + 5 = -m, 0 = 4*m. Let d(v) = -v**3. Let r(j) = -6*j**3 + j**2. Give c*r(k) + d(k).
5*k**3 - k**2
Let t(l) = 8*l + 11. Let k(w) = 205713*w + 3 - 205709*w + 2. Determine -13*k(z) + 6*t(z).
-4*z + 1
Let h(r) = -11 - 46*r - 2 + 13 + 32*r. Let a(i) = -i. ... | {
"pile_set_name": "DM Mathematics"
} |
500/(-6))/((-1)/(-5760)). Round r to the nearest 1000000.
-12000000
Let c = -1499.49892 - -14.76492. Let a = c + 1456.73389. Let p = a + 28. What is p rounded to 4 dps?
-0.0001
Let v = 14 + -14.2. Let m = v + 0.2000011. What is m rounded to seven dps?
0.0000011
Let b = 34 + -33.02. Let r = -0.9 + b. Let i = r + -0.0800... | {
"pile_set_name": "DM Mathematics"
} |
a**2 + 6 - a**3 + m*a - 2*a**2. Does 10 divide p(-5)?
True
Let q = -57 + 64. Let f(x) = 2*x + 1. Does 2 divide f(q)?
False
Suppose 1275 = -16*w + 33*w. Does 5 divide w?
True
Is 10 a factor of 392 + -1 + -8 + -3?
True
Suppose -2*t = 4, 3*w + 4*t - 19 = -3. Suppose 2*v + w = 194. Is v a multiple of 40?
False
Let c(r) = ... | {
"pile_set_name": "DM Mathematics"
} |
value? (a) -189 (b) 2 (c) w
c
Let l = 497.72 - 213.72. Which is the fourth biggest value? (a) l (b) -2 (c) -0.4 (d) 0
b
Let k = -147.58 - -146.58. What is the second biggest value in -3/5, -4, k, -350?
k
Let f be (3/(-5))/(-1 + 16/20). Let z be ((-3)/f - 14)*5/45. Which is the fourth smallest value? (a) z (b) ... | {
"pile_set_name": "DM Mathematics"
} |
a micrometer in nanometers?
4750
How many millilitres are there in thirty-four fifths of a litre?
6800
What is 27/2 of a century in decades?
135
How many milliseconds are there in 46362.34 hours?
166904424000
What is 25/8 of a day in minutes?
4500
What is 3/8 of a litre in millilitres?
375
How many minutes are there in... | {
"pile_set_name": "DM Mathematics"
} |
e y(3). Suppose -3*x + v = -2*x. Suppose 50 = 2*t + 4*q, -3*q - 85 = -2*t - 0*q. Calculate the remainder when t is divided by x.
11
Let i(b) = 8*b**2 + 4*b + 4. Let d(g) = g**2 + 1. Let c(h) = -5*d(h) + i(h). Suppose 0 = -7*s + 3*s + 20. Calculate the remainder when c(-3) is divided by s.
4
Let k(u) = 6*u - 30. Calcula... | {
"pile_set_name": "DM Mathematics"
} |
in decreasing order.
246/5, 262/7, -16
Sort 13, -5, 806, 156, 3 in ascending order.
-5, 3, 13, 156, 806
Sort 701, 62, 2, -7.
-7, 2, 62, 701
Put -0.1, 2/5, -2895, -17, -10 in decreasing order.
2/5, -0.1, -10, -17, -2895
Put -240, 0, -169, 3 in decreasing order.
3, 0, -169, -240
Sort 1, 4, -44, -5, 2, 2162 in descending ... | {
"pile_set_name": "DM Mathematics"
} |
he terms in 6089 + 3357 + 0*h - 5*h + 1266.
-5*h + 10712
Collect the terms in -2018*z + 7949*z - 1984*z - 1953*z + z**2 - 1994*z.
z**2
Collect the terms in 758876*g - 604353*g + 829160*g.
983683*g
Collect the terms in -11*h**3 + 5*h**3 + 3727*h**2 - 3723*h**2 + 41.
-6*h**3 + 4*h**2 + 41
Collect the terms in 6*h + 7*h -... | {
"pile_set_name": "DM Mathematics"
} |
3 in -0.001, 1172/7, 2, 0.05?
2
What is the nearest to 2 in 66938, 0, -526?
0
Which is the nearest to -1142? (a) 2 (b) -2/5 (c) 0.065 (d) -2/29
b
Which is the closest to -30? (a) -5/4 (b) 0.9 (c) -1263 (d) 4/9 (e) -1/7
a
Which is the nearest to 0? (a) 1.9 (b) 0.2 (c) -2/5 (d) -58/543
d
Which is the closest... | {
"pile_set_name": "DM Mathematics"
} |
et p = z + k. Round p to 2 dps.
0.28
Let b = 16361058379.640000359 + -16361059132.64. Let u = b - -753. Round u to seven decimal places.
0.0000004
Let t = -153 - -265. Let r = t - 112.074. Let n = r + 0.07215. What is n rounded to three decimal places?
-0.002
Suppose 0 = -4*z + 3*w + 189497, 5*w - 2*w + 94753 = 2*z. Le... | {
"pile_set_name": "DM Mathematics"
} |
0*m) - 5*m + 4*m - m - m + 1 - 1).
2*m
Expand (-3*q + 0*q - q)*(-6 - 1 + 4)*(0*q - 3*q + 5*q + (-2*q + 4 - 4)*(-4 + 2 + 0) - q + q + q).
84*q**2
Expand (2*k - 4*k + k**5 + 4*k)*(-4 + 3 + 0).
-k**5 - 2*k
Expand (-14 - 13 - 8*h + 25)*(h + 0 - 2 - 2).
-8*h**2 + 30*h + 8
Expand (-59 + 27 + 8*s + 37)*(-4*s**2 + 0*s**2 + 2*s... | {
"pile_set_name": "DM Mathematics"
} |
/((-2)/(-14)).
18
Suppose 0 = -3*w - w + 32. Suppose 3*q = -5*z + 8, -5*q + z + 4*z = -40. Calculate the smallest common multiple of q and w.
24
Let s(b) = b**3 - b**2 - 9. Let r be s(-8). Calculate the common denominator of r/(-70)*14/12 and -61/12.
12
Suppose 3*d + 42 = 5*d + k, -4*d - k + 82 = 0. Suppose 4*m + 28 = ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 3 = -5*k + 18. Let w = k - 2. Solve 0 = 4*m - 2*b - w - 5, u = 5*m - 2*b for m.
3
Suppose -p = 3*q + 96, q = -2*p + 6*q - 159. Let j = 171 + p. Suppose 4*b + j = 8*b. Solve v + 5 = -0*v, 4*g + b = -v for g.
-4
Let d be 0*(13/(-18) + 80/360). Solve -q + 5*y = 9, y + d*y = -q + 3 for q.
1
Let h(b) = -7*b - 21. Le... | {
"pile_set_name": "DM Mathematics"
} |
+ 14. Let a(m) = -142*m**2 + 160. Let x(g) = 3*a(g) - 34*t(g). Let s(p) = -15*p**2 - 5. Give -4*s(r) - 5*x(r).
-20*r**2
Suppose -270 = -129*z - 6*z. Let c(g) = 3*g - 3. Let h(m) = 11*m - 12. Calculate z*h(k) - 9*c(k).
-5*k + 3
Let s(k) = 6*k**3 + k**2 + k. Let h(n) = -25*n**3 - 4*n**2 - 4*n + 1153. Determine h(b) + 4*... | {
"pile_set_name": "DM Mathematics"
} |
v) be the second derivative of v**4/12 - v**3/6 - 3*v**2 - 2*v. Determine s(w).
24
Let q(u) = 2*u - 9. Let j(h) = h**3 + 27*h**2 - 56*h + 56. Let g be j(-29). Suppose -2*l - 36 = -6*l. Let r be 28/(-21)*l/g. What is q(r)?
3
Let t(o) = -o + 5. Let r(u) = -u**2 - 1. Let q be r(1). Let j be q + -1 - (-135)/5. Suppose -f +... | {
"pile_set_name": "DM Mathematics"
} |
red.
-300
Round 9.594 to 0 dps.
10
Round 29.1 to the nearest 100.
0
Round 0.00042857 to five dps.
0.00043
What is 15487100 rounded to the nearest 10000?
15490000
What is 1113970 rounded to the nearest 100000?
1100000
Round -21350 to the nearest one hundred.
-21400
What is -6793.6 rounded to the nearest 1000?
-7000
What... | {
"pile_set_name": "DM Mathematics"
} |
x rounded to 7 decimal places?
-0.0000021
Let r = -8789702452 + 8789702053.00000378. Let n = 399 + r. Round n to seven dps.
0.0000038
Let h = -1862.7988357 + 1862.8. Round h to five dps.
0.00116
Let w = 1.39 + -1.88. What is w rounded to the nearest integer?
0
Suppose 0 = 2*z + 9*m - 12*m, -3*z + 15 = 3*m. Suppose 4*a... | {
"pile_set_name": "DM Mathematics"
} |
is bigger: 13 or w?
13
Let z = 1438/9 - 160. Let b(l) = -l**3 - 3*l**2 - 4*l. Let k be b(-2). Let a be (k/(-10))/(1/((-10)/(-14))). Does a = z?
False
Let j(y) = -y - 4. Let n(z) = -6*z - 19. Let q(c) = -11*j(c) + 2*n(c). Let u be q(5). Let w be ((-4)/36)/(2/(-6)). Which is greater: w or u?
u
Let l be 3/(-2)*12/1359. Le... | {
"pile_set_name": "DM Mathematics"
} |
0617 to 2 decimal places.
198.02
What is 29216209000 rounded to the nearest one million?
29216000000
What is -36257.1 rounded to the nearest 1000?
-36000
What is 2.58771029 rounded to one decimal place?
2.6
Round -5371123.36 to the nearest ten thousand.
-5370000
Round 0.62312941 to 1 decimal place.
0.6
Round 3050934.45... | {
"pile_set_name": "DM Mathematics"
} |
((sqrt(140)/((sqrt(256) - -3*sqrt(256)) + sqrt(256)))/((sqrt(50) - 3*sqrt(200)/sqrt(4))/sqrt(10)))**2.
7/6400
Simplify (-2*(-5*4*sqrt(88) - sqrt(88) - sqrt(88)))/(-3*(sqrt(40)/sqrt(5) - sqrt(8)) - sqrt(1200)/sqrt(6)).
-44*sqrt(11)/5
Simplify (3 + (sqrt(24)/(sqrt(12) + sqrt(192)) - (sqrt(10)/sqrt(5) + sqrt(2))*2) + 0)**... | {
"pile_set_name": "DM Mathematics"
} |
d biggest value in r, f, -2/3, 1/6?
-2/3
Let g be 643/152 + 32/(-304) + -4. Let w be (136/(-16) + 8)*-4. What is the second biggest value in g, 0.5, w, 3?
w
Let m = 1481/8862 + -2/4431. Which is the third biggest value? (a) 1/4 (b) 4/9 (c) 19 (d) m
a
Suppose 59 - 63 = -2*n. Suppose 0 = 3*q - 3*x - 3, 0 = 4*q + x + ... | {
"pile_set_name": "DM Mathematics"
} |
1 wrt u?
20256*c*u - 144*u
Find the third derivative of 2*c*g**4 + 4*c*g**2*o**2 - 102*c*g**2 + 20*g**5*o - g**3*o**3 - g**2*o**3 wrt g.
48*c*g + 1200*g**2*o - 6*o**3
What is the third derivative of -210*q**3*u**2 + 6*q**3*u*v - q**2*u**2*v - q**2*u + 53*q**2*v + q*u*v wrt q?
-1260*u**2 + 36*u*v
What is the third deriv... | {
"pile_set_name": "DM Mathematics"
} |
e jw when two letters picked without replacement from wwwjwjjwjwwjwwww.
11/48
Three letters picked without replacement from llgllchhllhchclclgh. Give prob of sequence glg.
8/2907
Four letters picked without replacement from {c: 2, s: 1, k: 1, n: 2, y: 1}. Give prob of sequence ckyc.
1/420
Calculate prob of sequence vi ... | {
"pile_set_name": "DM Mathematics"
} |
30. Let w be (2 + (-1)/1)*-5. Let z(y) = -4*y**2 + 7*y + 4. Determine m*z(h) + w*q(h).
-2*h**2 + h + 2
Let c(p) = 3*p + 9. Let u(a) = -a - 1. Calculate -c(d) - 6*u(d).
3*d - 3
Let c(a) = -5*a**2 + 12*a - 4. Let p(x) = x**2 - 2*x. Let d(s) = c(s) + 6*p(s). Let g(n) = -1. Determine -d(l) + 6*g(l).
-l**2 - 2
Let m(p) = 3*... | {
"pile_set_name": "DM Mathematics"
} |
e highest common divisor of 2 and o.
2
Suppose -6*x + 3*x = -39. Let v = 14 - x. Calculate the highest common divisor of 1 and v.
1
Suppose 5*r + 126 = 156. Calculate the highest common divisor of 21 and r.
3
Suppose 80*z = 84*z - 104. Let u(p) = 5*p**2 - 2*p + 1. Let y be u(-3). Calculate the greatest common factor of... | {
"pile_set_name": "DM Mathematics"
} |
= 131*n - 74*n + 513. Let t(l) = 3*l**3 + 2*l**2 - l + 4. What is n*t(v) + 4*p(v)?
-3*v**3 + 2*v**2 + v
Let x(l) = -4*l**3 + 6*l**2 + 6. Let f(t) = -t**3 + t**2 + 1. Let o = -4 - -12. Let s(d) = -d**3 + 7*d**2 + 14*d - 42. Let u be s(o). Determine u*f(h) - x(h).
-2*h**3
Suppose 12 = 697*i - 691*i. Let z(f) = -1 - 3*f +... | {
"pile_set_name": "DM Mathematics"
} |
Let c(n) = -n**3 - 104*n**2 + 13337*n + 267931. Determine c(-18).
1
Let d(j) = -27*j + 622. Determine d(17).
163
Let f(n) = -n**3 - 34*n**2 - 84*n - 35. What is f(-2)?
5
Let h(j) = 20*j**2 + 1034*j - 12096. Calculate h(10).
244
Let b(l) = -l**3 + 8*l**2 + 97*l - 759. Calculate b(9).
33
Let m(j) = j**3 - 11*j**2 - 40*j ... | {
"pile_set_name": "DM Mathematics"
} |
) = j*y(u) - 2*m(u). Let n(a) = 6*a**2. Determine t(n(z)).
144*z**4
Let d(g) = 39674*g - 19827*g - 10*g**2 - 19739*g. Let q(c) = c**2. What is d(q(x))?
-10*x**4 + 108*x**2
Let z(h) = 18*h**2. Let f(y) = 9750*y. Determine f(z(t)).
175500*t**2
Let t(j) = 6*j. Let p(s) be the first derivative of -30*s**2 + 166. What is t(... | {
"pile_set_name": "DM Mathematics"
} |
dred.
-900
What is 0.1039079 rounded to 3 dps?
0.104
Round 0.0135597 to three dps.
0.014
What is -12116800 rounded to the nearest one hundred thousand?
-12100000
Round -55.98441 to the nearest integer.
-56
Round -0.000063687065 to 6 dps.
-0.000064
Round 1445599 to the nearest 10000.
1450000
What is 1034770 rounded to t... | {
"pile_set_name": "DM Mathematics"
} |
by g.
4
Suppose 17*l = 19*l - 52. Calculate the remainder when l is divided by 14.
12
Suppose 0 = -4*a - 85 - 71. What is the remainder when a/(-6)*24/3 is divided by 18?
16
What is the remainder when ((-205)/(-10) - -3)*2 is divided by 7?
5
Suppose -2*c + 116 = 2*m, -1 - 4 = 5*m. What is the remainder when c is divide... | {
"pile_set_name": "DM Mathematics"
} |
e i*x(m) - 11*d(m).
2*m**2 - m - 2
Let x(p) = 4. Let u = 5391 + -5386. Let t(s) = s - 1. Give u*t(o) + x(o).
5*o - 1
Let b be 6/(-9) - 1/3. Let s = 1137 - 1141. Let z(t) be the first derivative of t**3/3 + 2*t**2 - 29. Let v(y) = -y**2 - y. Determine b*z(o) + s*v(o).
3*o**2
Let g(q) = -1999759*q**3 + 7746*q**2 + 7746*q... | {
"pile_set_name": "DM Mathematics"
} |
5?
-7*n + 376
What is the v'th term of -34, -125, -372, -853, -1646, -2829?
-13*v**3 - 21
What is the x'th term of -235, -234, -233, -232, -231, -230?
x - 236
What is the r'th term of -948, -955, -962, -969, -976?
-7*r - 941
What is the x'th term of -14, -32, -76, -158, -290, -484, -752?
-2*x**3 - x**2 - x - 10
What is... | {
"pile_set_name": "DM Mathematics"
} |
s 13 (base 4) in base 14?
7
Convert 11 (base 11) to base 5.
22
4 (base 13) to base 9
4
Convert 30 (base 4) to base 14.
c
-35 (base 6) to base 16
-17
What is 1 (base 3) in base 6?
1
Convert -9 (base 12) to base 13.
-9
Convert 7 (base 9) to base 5.
12
4 (base 15) to base 10
4
Convert 2 (base 16) to base 12.
2
100 (base 2... | {
"pile_set_name": "DM Mathematics"
} |
om {l: 8, b: 2}.
8/45
What is prob of sequence hc when two letters picked without replacement from {c: 3, j: 2, e: 2, h: 2, w: 1, t: 2}?
1/22
What is prob of sequence lbl when three letters picked without replacement from llzzzzbzbbblbbbbbzz?
3/323
Four letters picked without replacement from eeyyppseypepesyyp. Give pr... | {
"pile_set_name": "DM Mathematics"
} |
*r**3 + x*r + p*r**2 + s and give s.
9
Express 2*q - 2*q + q**3 + q - q - 2*q**3 + (1 - q**2 - 1)*(2*q - q + 0*q) + 71*q**3 + 4 + 0 - 80*q**3 as g*q**2 + o*q**3 + l + n*q and give o.
-11
Rearrange -v**3 + 27 + 2*v**2 - 7*v**2 - 27 to b*v + g + u*v**2 + y*v**3 and give y.
-1
Rearrange -2*r**4 + 3*r**2 - r**2 + 3*r**4 - ... | {
"pile_set_name": "DM Mathematics"
} |
(-340)/(-55) - o/(-11). Is -21 != v?
True
Suppose -t = -y + 4, -3*t - 3*y + 6 = -0*t. Let m = -10680/64883 - 8/713. Is t less than m?
True
Suppose -110*r + 53 = -57*r. Which is smaller: r or -7/7884?
-7/7884
Let h = 18 - 14. Let m be (-19)/(114/(-36))*h/3. Suppose -20 = -3*n + m*n. Is 14 smaller than n?
False
Let y be... | {
"pile_set_name": "DM Mathematics"
} |
e the common denominator of m and 25.
181
Let x = 5102953/10122 - 19/10122. Let f = x + -502. What is the common denominator of f and -35/2?
14
Let a(z) = z**3 - z**2 + 16. Let w be a(0). Suppose -2*u - 2*u + w = 2*r, 3*u + 53 = 5*r. Let y = -25 + 43. Calculate the lowest common multiple of r and y.
90
Suppose -2*r = -... | {
"pile_set_name": "DM Mathematics"
} |
u).
9*u
Let v(u) be the first derivative of u**4/2 + u**2 + u - 4647. Let q(j) = -j - 1. Give q(d) + v(d).
2*d**3 + d
Let p(s) = 120*s**3 + 50*s - 50. Let n(x) = -3*x**3 + 12*x**2 - 2*x + 5. Let v be n(4). Let k(z) = -7*z**3 - 3*z + 3. Calculate v*p(d) - 50*k(d).
-10*d**3
Let o(c) = 96*c**3 + 32*c**2 - 11*c - 16. Let z... | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from {o: 1, j: 1, g: 1, z: 2, c: 1, t: 1}. Give prob of picking 1 g, 1 z, and 1 c.
2/35
Calculate prob of picking 2 q when two letters picked without replacement from gggqggggggq.
1/55
Three letters picked without replacement from {v: 3, g: 12, y: 2, k: 3}. Give prob of picking 2 k and 1 y.
1/190
... | {
"pile_set_name": "DM Mathematics"
} |
- 1/6*r**3 + 1/2*r**2. Let u = 1 - -1. What is n(u)?
-1
Suppose -1284 = -46*x + 34*x. Let u(h) = 102*h**2 - 208*h**2 + x*h**2 - 13 - 1 + 11*h. Calculate u(-11).
-14
Let t(r) = -14*r**3 + r**2 + 13*r - 4. Let y(a) = -3*a + 1. Let q(z) = -t(z) - 4*y(z). Calculate q(-1).
-14
Suppose -6 = 3*h - 5*h. Let r(x) = 3*x**2 - 1 ... | {
"pile_set_name": "DM Mathematics"
} |
ich is greater: -1 or 13/54?
13/54
Is 2 smaller than 51/38?
False
Is 1408 greater than 1407?
True
Which is bigger: -47 or -51?
-47
Which is bigger: 6/127 or -1?
6/127
Is 78 less than or equal to 78?
True
Which is smaller: -25 or -23?
-25
Which is greater: 391 or 392?
392
Is 2189 bigger than 2189?
False
Which is bigger:... | {
"pile_set_name": "DM Mathematics"
} |
Let p = 0.0206 + -0.0206. Suppose c = -4*d - 50, -2*d - 22 - 10 = -3*c. Let m = 21/10 - 167/70. What is the biggest value in p, m, d?
p
Let l = 2618.2 + -2618. What is the third smallest value in 0, 5, l, 820?
5
Let y = -705 + 378. Let w = y - -324. Let n = 6 - 5.4. What is the biggest value in w, -2, n?
n
Let f be ((... | {
"pile_set_name": "DM Mathematics"
} |
7734*c**2 - 2*c wrt c.
-799568340*c**2
What is the third derivative of 5*f**4*g**2 + 128712*f**4 + f**3 - f**2*g**2 + 10*f**2*g - 2*f**2 + 27703*f*g - 5*g wrt f?
120*f*g**2 + 3089088*f + 6
What is the first derivative of -6848952*q + 8199270 wrt q?
-6848952
Find the third derivative of -155530*s**5 - 6*s**4 + 100*s**3 ... | {
"pile_set_name": "DM Mathematics"
} |
greatest common divisor of o and i.
25
Suppose 4*n - 32 = 4*t, 4*t - t = -4*n + 25. Suppose g - c + n - 291 = 0, g + 3*c = 268. Calculate the highest common divisor of g and 28.
28
Let q(c) = 8*c**2 - 48*c - 14. Let n be q(7). Let x = -14 - -20. Calculate the highest common divisor of x and n.
6
Let x(n) = n**3 - 2*n**... | {
"pile_set_name": "DM Mathematics"
} |
of 71283244?
7
What is the millions digit of 218631247?
8
What is the thousands digit of 1255001376?
1
What is the millions digit of 131789679?
1
What is the units digit of 3170082134?
4
What is the billions digit of 1013763566?
1
What is the billions digit of 2201131861?
2
What is the ten thousands digit of 802831489?... | {
"pile_set_name": "DM Mathematics"
} |
1
c
Let i = 7 + -47/7. What is the closest to 0.2 in 0.5, 3, i?
i
Let y = -16/45 - 4/9. Let q = 60 - 61. Which is the closest to q? (a) -5 (b) y (c) 5
b
Suppose 2*z = -0 - 2. Let f = -100 - -104. Which is the nearest to 0.3? (a) f (b) -0.5 (c) z
b
Let q = -10 - -8. Let w be (-2)/(-6) - (-2)/3. Which is the neares... | {
"pile_set_name": "DM Mathematics"
} |
centuries.
0.2120642
What is 35513.5l in millilitres?
35513500
What is 0.5641223ns in microseconds?
0.0005641223
How many years are there in 0.0662886 decades?
0.662886
How many microseconds are there in 6746.353 weeks?
4080194294400000
What is 1/30 of a week in seconds?
20160
Convert 49.96508 millilitres to litres.
0... | {
"pile_set_name": "DM Mathematics"
} |
multiple of 9?
True
Let h(y) = -y**2 - 2*y - 6. Let x(g) = -g**2 - 2*g - 6. Let u(j) = -7*h(j) + 6*x(j). Let t be u(-5). Suppose t - 120 = -3*r. Does 11 divide r?
True
Does 11 divide 5*-2 + 2184/4?
False
Let l = -10 - -8. Let z be (-2 - -1) + (l - -6). Suppose 5*v = 5*k - 0*v - 70, 34 = z*k - v. Does 3 divide k?
False... | {
"pile_set_name": "DM Mathematics"
} |
6416.
2, 7, 11, 13
What are the prime factors of 12909066?
2, 3, 2151511
List the prime factors of 12409275.
3, 5, 165457
What are the prime factors of 223950?
2, 3, 5, 1493
What are the prime factors of 501627?
3, 7, 23887
What are the prime factors of 274675?
5, 10987
List the prime factors of 7140601.
13, 41, 13397
... | {
"pile_set_name": "DM Mathematics"
} |
.
-3
Express 128 - 72*u**2 - 3*u**4 - 91 + 100*u**2 + 5*u**4 as k*u + s + f*u**2 + v*u**3 + l*u**4 and give l.
2
Rearrange (0 - 3 - 3)*(616*o - 325 + 330 + 623*o - 1211*o) to j + c*o and give c.
-168
Rearrange (2*u**2 - 5*u**2 - 5*u**2)*(-246*u + 295*u - 1380*u) to d + w*u + s*u**2 + k*u**3 and give k.
10648
Rearrange ... | {
"pile_set_name": "DM Mathematics"
} |
ommon divisor of 63 and o?
9
Let a be (19/(-4))/((-2)/8). Calculate the greatest common factor of a and 19.
19
Suppose -120 = -u - 2*u. Let k = 19 - 14. Calculate the highest common divisor of u and k.
5
Let a(g) = 6*g**2 + 4*g - 9. Let x be a(-7). Let c = x + -179. Let n be (-518)/(-10) - (-3)/15. What is the highest ... | {
"pile_set_name": "DM Mathematics"
} |
ate ((-2)/(-10))/(128/(-480)).
-3/4
What is the value of ((-5)/2 + 3)/(17/(-4))?
-2/17
13 + -13 + 1/14
1/14
Calculate ((-10)/35)/((-3)/42).
4
9/4*(-1344)/(-1008)
3
What is the value of 0/((-42)/12*4/7)?
0
Evaluate (2 - 12)*(-14)/28.
5
What is the value of (57/38)/(3/(-2))?
-1
What is (-4 - 133/(-28))/(9/24)?
2
(-2 - 8/... | {
"pile_set_name": "DM Mathematics"
} |
is the value of (-6 - (13 - 8)) + -1?
-12
What is -16 + 27 - -12 - 0?
23
Calculate -4 + 15 + (6 - (52 - 10)).
-25
Evaluate -8 - (15 + -12) - (1 - -8).
-20
Calculate (1 - -11) + -351 + 329.
-10
-8 + (12 - 3 - (2 - (-4 + 3)))
-2
What is the value of (-13 + 4 + 16 - 14) + 33?
26
Evaluate 44 + -42 + (24 - (4 + -1)) + -6.
... | {
"pile_set_name": "DM Mathematics"
} |
tes after 3:15 AM?
2:46 PM
What is 585 minutes before 4:45 PM?
7:00 AM
How many minutes are there between 8:31 AM and 4:21 PM?
470
What is 191 minutes after 8:15 AM?
11:26 AM
How many minutes are there between 10:37 PM and 12:47 AM?
130
What is 136 minutes after 12:56 PM?
3:12 PM
What is 244 minutes before 10:21 AM?
6:... | {
"pile_set_name": "DM Mathematics"
} |
b of sequence eeke?
11/728
Three letters picked without replacement from wcvvwcwwvcwv. Give prob of sequence vwc.
1/22
Calculate prob of sequence tt when two letters picked without replacement from {m: 7, x: 3, h: 2, t: 7}.
7/57
Three letters picked without replacement from izzzxyxytizs. What is prob of sequence tiy?
1... | {
"pile_set_name": "DM Mathematics"
} |
x) = 0*x**2 - 5*x + 14 - 2*x - x**3 + 6*x - x**2. Give l(0).
14
Suppose -5*l = -3*l + 5*l. Let v(h) be the third derivative of 1/6*h**4 + 1/6*h**3 + l*h + 0 + 3*h**2. What is v(1)?
5
Let n(a) = a + 4. Let q(v) = -v - 5. Let i(u) = -3*n(u) - 4*q(u). Let l(y) = -y**2 - 3*y + 3. Let b be l(-3). Let f be 16/(-6)*b/2. Calcu... | {
"pile_set_name": "DM Mathematics"
} |
(-99)/(-6) + p/4.
17
Let v(y) = y**2 + y. Let i(d) = d**3 - d**2 - 5*d + 2. Let z(k) = -i(k) + 4*v(k). List the prime factors of z(6).
2
Let u(r) = -13*r - 9. List the prime factors of u(-4).
43
Let w = -46 - -226. What are the prime factors of w?
2, 3, 5
Suppose 17 = -n - 3. Let h be (-201)/(-15) - (-8)/n. Suppose -5... | {
"pile_set_name": "DM Mathematics"
} |
9.
-2*r - 41
Collect the terms in 17 - 55 + 12 + 32*c**2 + 15 + 13.
32*c**2 + 2
Collect the terms in -7*k + 30642721 - 30642721.
-7*k
Collect the terms in -90*l + 90*l + 9624264*l**3 - 9625154*l**3.
-890*l**3
Collect the terms in 18*c**2 - 2599*c + 1307*c + 1317*c - 4*c**2.
14*c**2 + 25*c
Collect the terms in 23*z + 25... | {
"pile_set_name": "DM Mathematics"
} |
n 2/9, -0.069, 34/11, 4?
2/9
Which is the second biggest value? (a) 9 (b) -12/23 (c) 4/3
c
What is the smallest value in 95800, -2, 5?
-2
What is the second smallest value in 4, -2/5, -232, 3, 2?
-2/5
What is the fourth biggest value in 2/9, -1/6, 3/8, -1625/17?
-1625/17
What is the smallest value in 26, -3, 8, 0, 3... | {
"pile_set_name": "DM Mathematics"
} |
n millions digit of 470026459?
7
What is the tens digit of 144138677?
7
What is the tens digit of 3961347399?
9
What is the units digit of 421860501?
1
What is the ten thousands digit of 79849787?
4
What is the ten millions digit of 97875526?
9
What is the ten millions digit of 99014633?
9
What is the units digit of 22... | {
"pile_set_name": "DM Mathematics"
} |
/b) assuming b is positive.
b**(613/31)
Simplify (x**(2/7)/x)**(-7)*((x*x**(-2/67))/x*x)/x*x/x**(-1/12)*x assuming x is positive.
x**(5671/804)
Simplify (((r/(r*(r**(-8)*r)/r))/r**(-1/2))/((r*r*r*r/r**(1/3)*r*r)/r)**(1/7))**(-40) assuming r is positive.
r**(-940/3)
Simplify (((w*w**(2/9))**(-42))**0)**(2/79) assuming w... | {
"pile_set_name": "DM Mathematics"
} |
What is 530 minutes after 8:08 AM?
4:58 PM
How many minutes are there between 12:59 AM and 2:37 AM?
98
What is 394 minutes after 8:38 AM?
3:12 PM
How many minutes are there between 7:01 PM and 7:12 PM?
11
What is 481 minutes after 11:36 AM?
7:37 PM
What is 502 minutes after 2:21 PM?
10:43 PM
How many minutes are there... | {
"pile_set_name": "DM Mathematics"
} |
or p.
-5
Solve 0 = -3*v - 12, 0 = 4*p + 3*v + v for p.
4
Solve -5*b + 3*r - 14 = 0, 4*b + 5*r + 150 = 161 for b.
-1
Solve 2*y - 24 = -5*t, 7 = 2*y + t - 1 for y.
2
Solve 2*r = 5*y - 16, -3*y - 5*r = -7*r - 8 for y.
4
Solve 3*k + 5 - 17 = 0, k - 14 = -5*t for t.
2
Solve -4*h + 9*h = 2*x + 22, -2*x - 5*h = -18 for x.
-1
... | {
"pile_set_name": "DM Mathematics"
} |
+ 238354. Let d = y + j. What is d rounded to the nearest 10000?
-90000
Let p = 8610.90002 - 8611. Let c = -0.1 - p. Round c to five dps.
-0.00002
Let x = -11.22 - -0.22. Let h = 11.000056 + x. Round h to five dps.
0.00006
Let c be (-30)/(-9) - (-4)/6. Suppose 5*q + c*m - 16763 = -4450, 5*q = 3*m + 12334. Suppose 4*z +... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 2*j - 6. Let i be -2 - (1 + 0)*5. What is i*b(g) - 4*x(g)?
2*g**2 - 2*g - 2
Let f(k) = k. Let m(s) be the second derivative of -5*s**3/6 - s**2/2 - s. Let z(p) = p**2 + 5*p + 2. Let y be z(-2). Give y*f(q) - m(q).
q + 1
Let b(a) = a + 1. Let x be b(-4). Let c(d) = 3*d + 6. Let n(z) = 6 - z - 1 + 3*z. Calculate x*... | {
"pile_set_name": "DM Mathematics"
} |
of f(-11)?
True
Does 13 divide -3*1/(-3) + 4327?
False
Suppose 136*c = 156*c - 212780. Is c a multiple of 19?
False
Let c(o) = 1569*o + 262. Is 79 a factor of c(1)?
False
Let l(b) = -451*b + 222. Does 5 divide l(-13)?
True
Let g = 1297 - 85. Let q = -665 + g. Suppose y + 4*d - 122 = 0, 6*y = y + d + q. Does 22 divide ... | {
"pile_set_name": "DM Mathematics"
} |
ve of -5*m**7/7 - m**5/10 + 419*m**4/12 + m**3/6 + 2195*m. Find the third derivative of w(t) wrt t.
-1800*t**2 - 12
Let w(a) = a**2 - a. Suppose 0 = 5*c + 2 + 18. Let v(x) = -53*x**5 - 4*x**2 - 50*x. Let m(l) = c*w(l) - v(l). What is the second derivative of m(u) wrt u?
1060*u**3
Let l be (-16 + 12)/((-32)/72). Let a(z... | {
"pile_set_name": "DM Mathematics"
} |
-3.82. Let h = x - q. Round h to the nearest integer.
-1
Let k = -0.004407 - -10.008907. Let u = -9.76 - 0.24. Let q = k + u. What is q rounded to three dps?
0.005
Suppose -2*y = -h + 34, -2*h - 67 = 2*y + 3*y. Let f be (-7199997)/y - (-2)/10. Round f to the nearest 100000.
500000
Let l = 1780645.01096 + -1780713. Let ... | {
"pile_set_name": "DM Mathematics"
} |
llest value in 2/5, 0.05, 1.61, 2/17, -0.3, -5?
0.05
Which is the fourth smallest value? (a) -6.43 (b) -1 (c) -3 (d) 1
d
What is the second biggest value in 0.2056, -2/39, -0.1?
-2/39
What is the second biggest value in 0.2, -52.661, 1/2?
0.2
What is the biggest value in -3/1459, 6.1, -0.3, 5, -0.2, -2?
6.1
What is... | {
"pile_set_name": "DM Mathematics"
} |
derivative of f(g) wrt g?
186*g - 2
Let z(d) be the first derivative of -47*d**4/4 + 12*d**2 + 97. What is the second derivative of z(u) wrt u?
-282*u
Let f(z) = 8*z**2 - 3*z - 2. Let m(w) = 0 + 2 - 9*w**2 + 43*w - 41*w. Let q(a) = -2*f(a) - 3*m(a). Differentiate q(t) wrt t.
22*t
Find the third derivative of 7*x**4 - ... | {
"pile_set_name": "DM Mathematics"
} |
quence ldd?
1/2448
Calculate prob of sequence uus when three letters picked without replacement from {s: 1, u: 11}.
1/12
Calculate prob of sequence qmz when three letters picked without replacement from {q: 6, m: 4, z: 1}.
4/165
Two letters picked without replacement from onnnnsonnnnonnzjnns. What is prob of sequence n... | {
"pile_set_name": "DM Mathematics"
} |
).
4*t**3
Expand (17*u**2 + 4*u + 9*u - 15*u)*(1 - 8*u - u + 8*u).
-17*u**3 + 19*u**2 - 2*u
Expand (-10*g**2 + 5*g**2 + 0*g**2 - g + (1 + 5 - 5)*(-2 + 2 - g**2) + 2*g - g**2 - 2*g)*(2*g - 3*g + 0*g).
7*g**3 + g**2
Expand (15*l + 7*l - 5*l)*(1 - 4 - 1).
-68*l
Expand 2*x + 2*x + 2*x + (-2*x + x + 2*x)*(-2 - 2 + 3) - 4*x ... | {
"pile_set_name": "DM Mathematics"
} |
hat is d(i(n))?
161940440*n
Let f(l) = -10*l**2. Let q be 0 + 7 + -4 + 387. Suppose 4*w = -w + q. Let a(x) = -w*x - 81*x + 158*x. Determine f(a(h)).
-10*h**2
Let v(h) = 1839*h - 320. Let s(x) = -306*x + 55. Let w(o) = -35*s(o) - 6*v(o). Let i(g) = -g**2. Determine w(i(q)).
324*q**2 - 5
Let s(m) = 18*m + 307. Let d be s... | {
"pile_set_name": "DM Mathematics"
} |
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