text stringlengths 270 8.19k | meta dict |
|---|---|
he first derivative of 6109*q + 10346*q - 13444*q + 6445 wrt q.
3011
Let o(q) be the first derivative of 83*q - 57 - 29/3*q**3 + 0*q**2. Differentiate o(u) with respect to u.
-58*u
Let y(g) be the third derivative of 2767*g**6/120 + 1199*g**3/6 - 20*g**2 + 17*g. Differentiate y(c) with respect to c.
8301*c**2
Let n = 1... | {
"pile_set_name": "DM Mathematics"
} |
+ 27221 for o.
-32
Solve -93*p + 1441*p - 27922 = 12518 for p.
30
Solve -12113 + 8923 = 152*s - 9422 for s.
41
Solve 6065*p = 5999*p + 1122 for p.
17
Solve 130*j + 178268 - 173068 = 0 for j.
-40
Solve 210*w + 1277 + 3682 = -39*w - 3009 for w.
-32
Solve -9912 = 859*t + 18041 + 7266 for t.
-41
Solve 233*r + 78172 = -36*r... | {
"pile_set_name": "DM Mathematics"
} |
en 199133123 is divided by 4115?
43
What is the remainder when 2279696 is divided by 12453?
797
Calculate the remainder when 275757 is divided by 3535.
27
Calculate the remainder when 53639 is divided by 26720.
199
What is the remainder when 920259 is divided by 98?
39
Calculate the remainder when 925563 is divided by ... | {
"pile_set_name": "DM Mathematics"
} |
Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {u: 1, x: 1, v: 1, m: 2}.
1/10
Calculate prob of picking 4 d when four letters picked without replacement from {d: 5}.
1
What is prob of picking 1 f and 2 l when three letters picked without replacement from lnspsvsfplnnvssspnpl?
1/3... | {
"pile_set_name": "DM Mathematics"
} |
7422 (base 9) to base 14
929d2
94012 (base 11) to base 16
21792
What is 60d68a (base 15) in base 8?
21433405
7655854 (base 9) to base 3
21201212221211
234115 (base 14) to base 9
2231852
What is -1d554 (base 14) in base 5?
-4401032
What is 11448 (base 9) in base 7?
31220
Convert -2020101101221 (base 3) to base 2.
-10010... | {
"pile_set_name": "DM Mathematics"
} |
+ 152, g = -4*a + 56. Suppose 0 = 4*x + 4*v - 24, 2*x - 66 = -3*x + 4*v. Suppose 11*w - g = x*w. Is 7 a factor of w?
False
Suppose -15*y = -17*y + 280. Let l = -80 + y. Is 20 a factor of l?
True
Suppose -3*y + 24*y = 5313. Does 17 divide y?
False
Let c(u) = u**3 + 3*u + 3. Let o be c(-2). Let t(b) = -b**3 - 10*b**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
134
In base 10, what is 585556 + 5?
585561
In base 8, what is 3347 + 1435?
5004
In base 8, what is 257402277 + 11?
257402310
In base 3, what is -2211 + -22110022202020?
-22110022212001
In base 5, what is 11411 - -2342034?
2404000
In base 11, what is 5 + -6723871?
-6723867
In base 7, what is 5 + -3506425?
-3506420
In ba... | {
"pile_set_name": "DM Mathematics"
} |
he common denominator of -25/196 and 27/112?
784
What is the lowest common multiple of 90 and 9?
90
Calculate the smallest common multiple of 5 and 7460.
7460
Calculate the common denominator of -49/153 and -38/63.
1071
What is the common denominator of -63/46 and -167/2346?
2346
Find the common denominator of -29/80 a... | {
"pile_set_name": "DM Mathematics"
} |
- 20 = -f, 3*h = -3*f + 15. Solve s = -f*b + 15, -5*s = b + r*b - 9 for s.
0
Let d = -3 + 14. Let x(r) = 2*r - 2. Let u be x(3). Solve 4*q - 4*k = -5*k - 9, -3*k - d = -u*q for q.
-1
Let f be 11/(-22) - (-25)/2. Solve -4 = 2*b, -4*b + 1 - f = -3*r for r.
1
Suppose -5*f + n + 39 = 0, -4 - 4 = -4*f - 5*n. Let a = -4 + f... | {
"pile_set_name": "DM Mathematics"
} |
z: 2, i: 1}. What is prob of sequence qiqq?
1/126
Four letters picked without replacement from sczzccczs. Give prob of sequence sszz.
1/252
Calculate prob of sequence qfc when three letters picked without replacement from llclbqlff.
1/252
Calculate prob of sequence nzz when three letters picked without replacement from... | {
"pile_set_name": "DM Mathematics"
} |
07457, 4, 2, -33
Sort -100/189, 3, 70.
-100/189, 3, 70
Sort -592, -2, 0, 137 in descending order.
137, 0, -2, -592
Sort 5675673, 1, 4/7.
4/7, 1, 5675673
Sort 4645388, 1, -6, 3.
-6, 1, 3, 4645388
Put 1, -13, -4/23, -0.1, 9/167 in ascending order.
-13, -4/23, -0.1, 9/167, 1
Sort -392, 2, 5, 1492 in increasing order.
-392... | {
"pile_set_name": "DM Mathematics"
} |
n 3332 is divided by 115?
112
Calculate the remainder when 2418 is divided by 22.
20
What is the remainder when 11 is divided by 2?
1
Calculate the remainder when 370 is divided by 105.
55
What is the remainder when 979 is divided by 10?
9
What is the remainder when 3797 is divided by 190?
187
Calculate the remainder w... | {
"pile_set_name": "DM Mathematics"
} |
What is 5476.39216 rounded to the nearest ten?
5480
What is 191714.95 rounded to the nearest 100?
191700
What is -738.475088 rounded to the nearest 10?
-740
What is 12410988.85 rounded to the nearest one hundred thousand?
12400000
What is -648256.897 rounded to the nearest ten?
-648260
What is 32291.93823 rounded to t... | {
"pile_set_name": "DM Mathematics"
} |
= 0, 2*v + 3*m = -11 for v.
-4
Solve a = 2, 4*p - 4*a - 14 = -42 for p.
-5
Solve 9 = 3*x, 2*x + 0*x - 26 = -5*t for t.
4
Solve -4*t = b + 22, 4*t - 4*b - b + 10 = 0 for t.
-5
Solve 0 = -p + 1, 3*p - 3 + 2 = w for w.
2
Solve 4*s + 0*a + 8 = -a, 5*a = -20 for s.
-1
Solve -4 = m, m - 4 = -5*n - 18 for n.
-2
Solve -10 = 4*... | {
"pile_set_name": "DM Mathematics"
} |
-12
Which is the nearest to 2? (a) -0.3 (b) -14 (c) 0.1 (d) 23 (e) -8
c
Which is the nearest to 1/4? (a) 4.76 (b) 122 (c) -2/3 (d) 0.3
d
Which is the nearest to 2? (a) 217 (b) -2/11 (c) 0.5 (d) 4
c
What is the nearest to -1 in -5519, 0, -7?
0
Which is the closest to 2/9? (a) 328 (b) -1/3 (c) -0.4 (d) -... | {
"pile_set_name": "DM Mathematics"
} |
ime factors of v.
2
What are the prime factors of (57/(-6) + 1)*(-41 - -5)?
2, 3, 17
Suppose 0 = -0*i + i. Suppose -5*b + i*b - 15 = 0. What are the prime factors of (2/(-1))/(b/9)?
2, 3
Suppose 6 = 3*t - 3, n = -2*t + 53. List the prime factors of n.
47
Let r(n) = 7*n - 3. Let s(z) = -7*z + 4. Let i(l) = -3*r(l) - 2*s... | {
"pile_set_name": "DM Mathematics"
} |
fy ((i**(-4)*i*((i*i**7*i)/i)/i)/(i**(-1)/(i**(-7)/i)))/((i**(2/7))**(2/73)/(i**(-1/7)/i**(-2/11))) assuming i is positive.
i**(-2384/803)
Simplify ((d/(d*((d/(d**(1/9)*d))/d)/d))**(-18)/(d**(-7)/d*d/(d*d**(-25))))**(1/22) assuming d is positive.
d**(-5/2)
Simplify (j*j**(-1/4)*j*j**(-4)*j**1/j*j**(2/17))/((j**1/j)**(3... | {
"pile_set_name": "DM Mathematics"
} |
4
Put 115, -746, 51 in increasing order.
-746, 51, 115
Sort -5, 4, 33, -29, 3, -1, 1 in increasing order.
-29, -5, -1, 1, 3, 4, 33
Sort -1, -6, 219611.
-6, -1, 219611
Put -5, -2, -1, 475366 in decreasing order.
475366, -1, -2, -5
Sort 4/7, 1121, -0.171, 16.
-0.171, 4/7, 16, 1121
Sort 5, 1187, 1, 517.
1, 5, 517, 1187
Pu... | {
"pile_set_name": "DM Mathematics"
} |
ive k.
2
Express -p**2 + p - 4*p + 9*p - p - 54 - p as b*p**2 + s + o*p and give b.
-1
Express -37*s**4 - 1 + 20*s**3 + 21*s**4 + 2*s - 22*s**3 as i*s + k + p*s**4 + f*s**2 + y*s**3 and give k.
-1
Express (-27614*s + 27614*s - 4443*s**2)*(-3*s**2 + 4*s**2 - 3*s**2) in the form k*s**3 + r*s**4 + n*s + q + u*s**2 and giv... | {
"pile_set_name": "DM Mathematics"
} |
at is -27*c(z) + 2*g(z)?
-15*z**2
Let o(u) = -5*u + 32. Let h be o(6). Let z be 2/(-8)*h - (-52)/8. Let i(l) = -3*l + 3. Let f(p) = 4*p - 4. What is z*i(q) + 4*f(q)?
-2*q + 2
Let p(w) = -31*w**3 + 17*w**2 + 1054. Let t(d) = 11*d**3 - 6*d**2 - 351. Determine 6*p(a) + 17*t(a).
a**3 + 357
Let z(q) = -2971*q + 9. Let m(r) ... | {
"pile_set_name": "DM Mathematics"
} |
ference between -0.4 and 1211074437882?
1211074437882.4
What is the distance between 8.689 and -0.09806897916?
8.78706897916
Add -2717946711910 and 3.
-2717946711907
Calculate 27850834 - 0.04296676.
27850833.95703324
What is 56784429 minus -6655?
56791084
What is -0.044 - -298.737528806?
298.693528806
What is -2 less t... | {
"pile_set_name": "DM Mathematics"
} |
nce xa.
1/56
Two letters picked without replacement from {f: 1, j: 1, b: 1, v: 1, i: 1, s: 2}. Give prob of sequence vi.
1/42
What is prob of sequence yuhg when four letters picked without replacement from yguuwygwhywggw?
1/1001
Calculate prob of sequence nutn when four letters picked without replacement from {t: 2, h:... | {
"pile_set_name": "DM Mathematics"
} |
p?
-3
Let l be (-27)/91 - 4/(-26). What is the smallest value in l, 1, 0.3?
l
Let n = -69 + 69. Let d = 0.56 + -0.5. Let i = -2.06 + d. What is the second smallest value in 2/3, n, i?
n
Let u = 5.6 - 5. Let m = -0.9 + u. Which is the second biggest value? (a) -0.4 (b) 1 (c) m
c
Let o = -3 + 2. Let r = 6 - 6. Let s =... | {
"pile_set_name": "DM Mathematics"
} |
6*l**3 + 14*l + 6*l**2. Let q be n(7). What is q rounded to the nearest one hundred thousand?
0
Let t = 0.10705471 - -45.89295154. Let q = 46.25 - 0.25. Let f = q - t. Round f to 6 dps.
-0.000006
Let h = -181.8771 + -0.5829. Round h to the nearest integer.
-182
Let p = -312.1 + 5.1. Let h = -306.9702 - p. Round h to 3 ... | {
"pile_set_name": "DM Mathematics"
} |
e 3*u - g = -4*o + 8, 5*o = -3*u + 26. Calculate the remainder when o is divided by 3.
1
Let s(a) = -51*a - 17. Calculate the remainder when s(-25) is divided by 28.
26
Suppose -3*k = -5*g - 632, 2*k + 106 = -g - 23. Let f = -85 - g. Calculate the remainder when f is divided by 11.
9
Let u(c) be the first derivative of... | {
"pile_set_name": "DM Mathematics"
} |
?
2462
What is 692078 to the power of 1/3, to the nearest integer?
88
What is the cube root of 34099 to the nearest integer?
32
What is 363129 to the power of 1/2, to the nearest integer?
603
What is 893600 to the power of 1/5, to the nearest integer?
15
What is the square root of 1663588 to the nearest integer?
1290
W... | {
"pile_set_name": "DM Mathematics"
} |
1)**3
Let x(f) be the first derivative of f**6/3 + 6*f**5/5 - f**4/2 - 14*f**3/3 + 8*f + 137. Determine r so that x(r) = 0.
-2, -1, 1
Let s be -6 + 3 - 31409/(-91). Let d = s + -342. Suppose d*g**2 - 2/13*g**3 + 0*g + 0 = 0. What is g?
0, 1
Factor 1088/19*j - 147968/19 - 2/19*j**2.
-2*(j - 272)**2/19
Let z(n) be the f... | {
"pile_set_name": "DM Mathematics"
} |
ths of a litre in millilitres?
1200
How many micrometers are there in three tenths of a millimeter?
300
What is 53/4 of a kilogram in grams?
13250
How many grams are there in 0.3494799 milligrams?
0.0003494799
How many years are there in 67738.58 millennia?
67738580
How many years are there in 853439.5 decades?
8534395... | {
"pile_set_name": "DM Mathematics"
} |
e of 91 - -4 - (-2261 + 2333)?
23
Evaluate 90 + -80 + 31 - 16.
25
Evaluate (5 - (-62 - -34)) + -94.
-61
Evaluate (0 - 87) + 0 - (11 + (-17 - (-46 + 30))).
-97
-8 + (-19 - 1) + 12 + -4
-20
What is 54 + 1 - (14 - 4)?
45
What is -8 + -3 + (12 - 0) + (-3 - 7 - 0)?
-9
5 + 5 - ((-19 - 0) + -7 + -3)
39
(71 - (-49 - -87)) + 0
... | {
"pile_set_name": "DM Mathematics"
} |
s 2792 times -25?
-69800
What is 32.0348 times -0.4?
-12.81392
What is -0.08758 times -35?
3.0653
-4*144.712
-578.848
-0.3 times -487.219
146.1657
-1.201*136
-163.336
What is the product of -0.066904 and 2?
-0.133808
Multiply -3 and -12845.8.
38537.4
Multiply -1 and -2.8975.
2.8975
What is the product of 2 and -321865?... | {
"pile_set_name": "DM Mathematics"
} |
the nearest one hundred thousand?
100000
What is -0.00229 rounded to three dps?
-0.002
What is -380.71 rounded to the nearest ten?
-380
What is -0.00000703 rounded to 7 decimal places?
-0.000007
Round 0.00008477 to 6 decimal places.
0.000085
What is 161.3 rounded to the nearest 10?
160
Round -8750000 to the nearest on... | {
"pile_set_name": "DM Mathematics"
} |
x(7). Let k(o) = 14*o - 1. Let d be k(1). Is (d/(-2))/((-6)/g) composite?
True
Suppose 1835 = v - 2*r, -2*r + 1149 + 702 = v. Is v a composite number?
True
Let n(k) = -k**3 - 13*k**2 - 2*k - 19. Let w be n(-13). Let a = w - 3. Suppose -a*p + 337 = -3*q, -3*q = 3*p + q - 259. Is p composite?
True
Suppose 0 = -4*h - 4, ... | {
"pile_set_name": "DM Mathematics"
} |
Solve -12*q = -t*q + 45 for q.
-5
Let h(j) be the second derivative of -j**3/3 - j**2 + 78*j. Let o be h(-2). Solve -1 = -o*d + 3*d for d.
-1
Let k = -3865 + 3877. Solve -k*o + 92 = 20 for o.
6
Suppose 5 = -3*a - 2*a. Let u(s) = s**3 + 9*s**2 - 9*s + 8. Let h be u(-10). Let d = a - h. Solve -d = -i - 0 for i.
1
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
*3*p + 8441*p wrt p.
-2802228*m**3*p**2 + 108*m**3
Differentiate 5494491*d**3 - 7149883 with respect to d.
16483473*d**2
Find the second derivative of 104*r**4 - 2*r**3 + 812612*r**2 + 74159316*r.
1248*r**2 - 12*r + 1625224
What is the derivative of -25053890*f*s - 43*s - 77572 wrt f?
-25053890*s
What is the derivative... | {
"pile_set_name": "DM Mathematics"
} |
5043
What is the l'th term of 61032, 61058, 61100, 61158, 61232, 61322?
8*l**2 + 2*l + 61022
What is the k'th term of -45080, -90178, -135276?
-45098*k + 18
What is the b'th term of -1268, -1219, -1168, -1115, -1060, -1003?
b**2 + 46*b - 1315
What is the u'th term of 1081, 4084, 9089, 16096?
1001*u**2 + 80
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((u**(2/21))**(2/7)/(u**0)**18)**43 assuming u is positive.
u**(172/147)
Simplify ((z*z**(-2/13)/z*z*z*z*z**18)/(z**(-2/29)*z)**(-5/8))**(3/14) assuming z is positive.
z**(193881/42224)
Simplify (x**(-2)*((x/(x*x**(-2)))/x*x)/x)**12/((x/(x**(-1)*x)*x**(-1/8))/(x/(x/(x/(x*x*x*x**(-6))*x))*x*x**(1/4)/x)) assumin... | {
"pile_set_name": "DM Mathematics"
} |
t l(s) = -6*s + 275. Let k be l(45). Solve -5*r + 21 = -k*u + 16, -19 = 4*u + r for u.
-4
Suppose 5*m + 2*z - z - 14 = 0, 3*m = z + 2. Let x(o) = 0 - o**3 - 74*o**m - o + 51*o**2 - 3. Let y be x(-23). Solve -2*f = -3*k + 19, f - 2*f - y = -5*k for f.
-5
Let v(j) = -j**3 + 130*j**2 - 377*j - 504. Let u be v(127). Solve ... | {
"pile_set_name": "DM Mathematics"
} |
3)*(-g + 0 + 0) + 3*g + 0*g - 5*g.
-38*g
Expand -l**3 + 7*l**3 + 5*l**3 + (-l**2 - 3*l**2 + 6*l**2)*(-2*l - 1 + 1).
7*l**3
Expand (22*z + 34*z - 9*z)*(0*z**4 + z**4 - 2*z**4).
-47*z**5
Expand (2 - 2 + 2*x**2 + (x**2 - 2*x + 2*x)*(5 - 4 + 0))*(3 - 3 - 3*x).
-9*x**3
Expand 6*u + 7*u - u + u + 3 - 3 + (2 + 2 - 3)*(0*u + 3... | {
"pile_set_name": "DM Mathematics"
} |
ird derivative of y**4/24 + 5*y**3/3 - y**2. Suppose -5*n = t + 19, 7 + 32 = -3*n + 4*t. Determine p(n).
5
Suppose 0 = 2*h + 2, g - 3*h - 22 = -0. Let b(c) = -2*c + 16 + g - 33 + c**3 + 3*c**2. Give b(-4).
-6
Suppose 5*y - 5*x - 530 = 0, -4*y + 4*x = 3*x - 421. Let j(q) = -y - 2*q + 106 - 2*q + 5*q. Determine j(-6).
-5... | {
"pile_set_name": "DM Mathematics"
} |
te 0.5*143605.97.
71802.985
-27*738880
-19949760
-0.266428*267
-71.136276
Multiply 1447248 and 0.1.
144724.8
Calculate -80747*-3562.
287620814
Work out -3 * 16010.54.
-48031.62
Work out -2321.6 * -0.04921.
114.245936
104.9014 times -0.38
-39.862532
Calculate 6633.5*1291.
8563848.5
What is the product of -34132738.9 and... | {
"pile_set_name": "DM Mathematics"
} |
- 10*r**3 + 141*r**2. Let s(v) = -31*v**3 + v**2 - v + 3. Let d(m) = -2*a(m) - 3*s(m). Calculate d(-1).
-30
Let u(z) = -6*z**3 + z. Let j(f) = f + 1. Let c(q) = -2*q + 9. Let d(t) = -2*c(t) - 6*j(t). Let a be d(-6). Let l be 2/a + (-49)/(-42). Determine u(l).
-5
Suppose b - 12 = 5*n, 0 = -3*n + 2*b + 4. Let w(o) = -o**... | {
"pile_set_name": "DM Mathematics"
} |
15.92
Product of -0.06 and -821.
49.26
What is the product of 76 and -0.064?
-4.864
-0.1*22
-2.2
Product of -3.98 and 6.
-23.88
-0.02*3.6
-0.072
What is the product of -104 and 0.2?
-20.8
61.6 * -5
-308
Calculate 0.07*-1485.
-103.95
Calculate -0.25*14.
-3.5
What is -59 times 0.09?
-5.31
What is 7.5 times -0.13?
-0.975
... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*m**2 + 24*m - 25. Let i(g) be the first derivative of r(g). What is the tens digit of i(-2)?
6
Suppose -8*x + 687 = -8809. Suppose 1 = 11*g - x. What is the units digit of g?
8
Let m be (-14503)/3*90/(10 + 5). What is the tens digit of 70/525 + m/(-30)?
6
Let v = -10660 - -25030. What is the thousands digit of v?
... | {
"pile_set_name": "DM Mathematics"
} |
ive of -3*a**3*p**3 + 472043*a**3*p**2*s - 19063*a**2*p**2 + 3*a*p**3*s + 15*a*p**2*s wrt a?
-18*p**3 + 2832258*p**2*s
Find the third derivative of -268017*v**4 - 5*v**2 - 16034*v + 2.
-6432408*v
Find the second derivative of -232281*y**4 - 524396*y wrt y.
-2787372*y**2
What is the second derivative of 4106500*t**5 - 3... | {
"pile_set_name": "DM Mathematics"
} |
pose -9*b + 5306 = 5*b. What is the tens digit of b?
7
Suppose 0 = -33*w + 16193 + 16081. What is the units digit of w?
8
Let o = -45 + 125. Suppose 0 = -4*n + 4*y + 31 + 17, 4*y - o = -4*n. Let c = n - 4. What is the units digit of c?
2
Let q(y) = -11*y + 126. What is the units digit of q(0)?
6
Let o be (-2)/13 + (-11... | {
"pile_set_name": "DM Mathematics"
} |
Is 2005247 prime?
False
Is 9381997 a prime number?
True
Is 3965789 a composite number?
False
Is 50359019 a prime number?
True
Is 6634297 a prime number?
True
Is 265611211 composite?
False
Is 43890757 a composite number?
False
Is 100444439 prime?
True
Is 1656713 a composite number?
True
Is 5383867 prime?
False
Is 204483... | {
"pile_set_name": "DM Mathematics"
} |
9216363 a prime number?
False
Is 739431743 prime?
True
Is 25544593 a prime number?
False
Is 15640075727 prime?
True
Is 2430653 a composite number?
True
Is 4471435867 a composite number?
False
Is 74264199 composite?
True
Is 620172467 prime?
True
Is 48149537 prime?
True
Is 756201937 a composite number?
True
Is 3581569006... | {
"pile_set_name": "DM Mathematics"
} |
*3/3 - 3*r. Factor g(w).
w*(w - 1)**2*(w + 1)*(w + 2)
Let j(o) = o**3 - 4*o**2 - o - 6. Let z(r) = -r**3 + 5*r**2 + r + 7. Let g(a) = -6*j(a) - 5*z(a). Factor g(h).
-(h - 1)*(h + 1)**2
Let 9*h**2 - 4*h + 114*h**3 - 12 + 4*h - 117*h**3 = 0. Calculate h.
-1, 2
Let o be 44/20 + (-4 - (-38)/10). Suppose 0*d - 2/5*d**o + 2/... | {
"pile_set_name": "DM Mathematics"
} |
= -204 - h. Solve j = 3*m + 10 for m.
-3
Suppose -5*i + 21 = 26. Let t(z) = -23*z - 20. Let j be t(i). Solve 0 = -0*d - j*d + 15 for d.
5
Let m(r) = -10*r**2 - 62*r - 7. Let c be m(-6). Suppose 14*t - 9*t = c*g - 40, 16 = 5*g + t. Solve g*b - b = 9 for b.
3
Let h be 0/(4/16*-4). Let t(y) = y**3 - 11*y**2 + 10*y - 7. Le... | {
"pile_set_name": "DM Mathematics"
} |
x + 5*k - 131, k + 479 = 4*x. Let y = 118 - x. Let b = -4 + 1. Sort b, y, 2.
b, y, 2
Suppose -42 + 31 = -w. Suppose w*d - 8*d - 18 = 0. Sort 5, -2, d in decreasing order.
d, 5, -2
Let v be 35/(-20)*2 - (14 - 58/4). Let p = -2 - -3. Sort p, v, -1, -13.
-13, v, -1, p
Suppose -41*f = 5*q - 43*f - 45, f + 45 = 5*q. Sort 19... | {
"pile_set_name": "DM Mathematics"
} |
st to -0.1 in 0.4, -0.2, -1/3, -0.712?
-0.2
What is the nearest to 0 in 0, 2/7, -38?
0
Which is the nearest to 1? (a) -3 (b) 1 (c) 90
b
What is the closest to -4 in -0.43, 3/7, -2/3, -1?
-1
Which is the closest to -1/3? (a) 3 (b) 0.5 (c) 0.1
c
What is the nearest to 0.3 in 4, -0.5, -1424?
-0.5
Which is the neares... | {
"pile_set_name": "DM Mathematics"
} |
thousands digit of 219765?
2
What is the units digit of 8951323?
3
What is the millions digit of 1253940?
1
What is the thousands digit of 2014067?
4
What is the ten thousands digit of 10600840?
0
What is the tens digit of 2365492?
9
What is the hundred thousands digit of 235161?
2
What is the hundreds digit of 5122971... | {
"pile_set_name": "DM Mathematics"
} |
-2924
What is the second derivative of 808*q**2 - 44*q + 1 wrt q?
1616
What is the second derivative of -2*l**4 + 9*l**3 + 17*l**2 + 361*l + 10?
-24*l**2 + 54*l + 34
Find the second derivative of -2*m**2*n*p - 11*m**2*n*s + 4*m**2*p*s**2 + 3*m*n*p*s + 8*m*n*s**2 - m*n*s + 2*m*p*s + 2*m*p + 4*p*s**2 wrt s.
8*m**2*p + 1... | {
"pile_set_name": "DM Mathematics"
} |
culate the smallest common multiple of 8 and 3200.
3200
Calculate the common denominator of 28/5181 and -71/942.
10362
Calculate the lowest common multiple of 27 and 3111.
27999
Find the common denominator of -19/352 and 77/248.
10912
What is the least common multiple of 4278 and 48?
34224
What is the common denominato... | {
"pile_set_name": "DM Mathematics"
} |
nd 6?
6
What is the greatest common divisor of 3558540 and 2286?
762
What is the greatest common divisor of 128 and 53740?
4
What is the greatest common factor of 2016 and 3312?
144
What is the greatest common divisor of 94 and 540641?
47
What is the highest common factor of 63961 and 4843?
167
What is the greatest com... | {
"pile_set_name": "DM Mathematics"
} |
t t be (1 + -49)*14/(-8). Suppose -3*c + 6*c - t = 0. Suppose -3*p - 29 = -5*j, 0 = j + 5*p - 10 - 7. What is the greatest common divisor of j and c?
7
Let u(i) = i**3 - 26*i**2 + 53*i - 76. Let f be u(24). What is the greatest common divisor of 12 and f?
4
Let a be ((-2)/(-6))/(26/234). Suppose 3*j = 15, s = j + a + 2... | {
"pile_set_name": "DM Mathematics"
} |
Let c(l) = -l**2 + l - 141. Let i be c(0). Let u = -72 - i. Is u a prime number?
False
Is (12/(-8))/3 + 9286/4 a composite number?
True
Let q(v) be the second derivative of -v**5/20 - 11*v**4/12 + 3*v**2 + 4*v. Let r be q(-11). Let j = 53 - r. Is j composite?
False
Let b be (-6)/9*(2 + -5). Is b + (2 + 139 - 0) prime?
... | {
"pile_set_name": "DM Mathematics"
} |
)))**(-17) assuming r is positive.
r**(12087/76)
Simplify (((t/(t*t**(2/5)))**(1/2))**12)**(3/13) assuming t is positive.
t**(-36/65)
Simplify (d**(2/31)/d*d)**(16/5)*(d*d*d**(3/4)*d)**(-19) assuming d is positive.
d**(-44047/620)
Simplify ((f**(3/8)*f**1*f*f)/(f**(-3/4)*f**(-1/2)))**(-5) assuming f is positive.
f**(-1... | {
"pile_set_name": "DM Mathematics"
} |
, -23850, -42396, -66240?
-95382
What comes next: -700, -899, -1098, -1297?
-1496
What comes next: -48439, -193750, -435935, -774994, -1210927?
-1743734
What is the next term in -20212, -40422, -60634, -80848?
-101064
What is next in 139, 576, 1303, 2320, 3627, 5224?
7111
What is next in 665, 2760, 6287, 11246, 17637?
... | {
"pile_set_name": "DM Mathematics"
} |
ecreasing order.
705, 113, 9, 2, -1, -4
Sort 442, -1/8, -1, 2/5, 78 in descending order.
442, 78, 2/5, -1/8, -1
Sort -3, 0.1, 5, 0.15, -4/21, 10 in increasing order.
-3, -4/21, 0.1, 0.15, 5, 10
Sort -10195, 3, 10, 27, -4, -2, 4 in descending order.
27, 10, 4, 3, -2, -4, -10195
Sort 5, 4, -84779, -2/11, -0.5, 0 in incre... | {
"pile_set_name": "DM Mathematics"
} |
ird derivative of 2*b**5 - 2*b**3 + 21*b**2 wrt b?
120*b**2 - 12
What is the second derivative of -130*c**3 + 9*c**2*s**2 + 2324*c*s**2 wrt c?
-780*c + 18*s**2
Differentiate -796*y**2 - 2*y + 693.
-1592*y - 2
What is the third derivative of -10*i**4*t + 4*i**4 - 223*i**2*t - 2*t wrt i?
-240*i*t + 96*i
What is the deriv... | {
"pile_set_name": "DM Mathematics"
} |
t k(x) be the first derivative of 2*x**3 - 21 + 9/4*x**4 + 1/2*x**2 + 0*x + 4/5*x**5. What is w in k(w) = 0?
-1, -1/4, 0
Let t(n) be the third derivative of n**6/30 + 2*n**5/15 - 4*n**4 + 2*n**2 + 131*n. Factor t(v).
4*v*(v - 4)*(v + 6)
Let h(o) be the first derivative of -o**5/15 - 7*o**4/12 - 14*o**3/9 - 4*o**2/3 + 6... | {
"pile_set_name": "DM Mathematics"
} |
t n(t) = -296*t + 33794. Determine n(115).
-246
Let g(u) = 5*u**2 - 739*u - 318283. Give g(-189).
-7
Let p(o) = 8201*o - 2558740. Give p(312).
-28
Let g(n) = -2122*n + 1035426. What is g(488)?
-110
Let r(z) = 26*z - 625. Determine r(-28).
-1353
Let g(d) = 1140*d - 1957. What is g(2)?
323
Let s(t) = 632798*t - 54420614.... | {
"pile_set_name": "DM Mathematics"
} |
placement from {f: 2, h: 2, r: 4}. What is prob of sequence rhfr?
1/35
Two letters picked without replacement from {h: 3, x: 2, g: 3}. Give prob of sequence xg.
3/28
Calculate prob of sequence ls when two letters picked without replacement from {l: 2, s: 1, g: 1}.
1/6
Calculate prob of sequence hye when three letters p... | {
"pile_set_name": "DM Mathematics"
} |
et t = 665 + z. What is the third smallest value in 0.2, 5, -1, t?
t
Let g be (-7)/15*-18*18/54. Which is the smallest value? (a) 4 (b) -4 (c) g (d) -2/17 (e) 3/2
b
Let w = 1311/4 + -655/2. What is the smallest value in -1/2, -18.2, -1, w, 3/4?
-18.2
Let z = -7/642 - 50/321. Which is the fifth biggest value? (a) ... | {
"pile_set_name": "DM Mathematics"
} |
y -2*(1*sqrt(1700) - sqrt(1700))**2*5*-1 + 0.
0
Simplify ((-2 + sqrt(475))*-5 - (sqrt(95)/(sqrt(10)/sqrt(2)) - (0 + sqrt(76))))**2.
-480*sqrt(19) + 11044
Simplify (4*(-4 + ((sqrt(108) - -1*sqrt(108))*4)/sqrt(9)))**2.
-2048*sqrt(3) + 12544
Simplify ((sqrt(110) + sqrt(110) + -1*sqrt(110))/sqrt(10) + 1)**2 - (4 + sqrt(11)... | {
"pile_set_name": "DM Mathematics"
} |
h that l**4/2 - 20112113*l**3 = 0.
0, 40224226
Suppose -3*q**4 + 17226*q**3 - 24916608*q**2 + 541500960*q - 2355724800 = 0. What is q?
6, 16, 2860
What is i in -7442*i**4 - 27067042*i**3 + 52388012*i**2 + 3522568*i + 58224 = 0?
-3639, -2/61, 2
Suppose -225*x**2 + 180510*x - 36204289 = 0. What is x?
6017/15
Factor -3*x*... | {
"pile_set_name": "DM Mathematics"
} |
h(o) be the first derivative of 15/2*o**2 + 25/3*o**3 + 5/4*o**4 - 5 - 45*o. Factor h(d).
5*(d - 1)*(d + 3)**2
Let j(z) be the third derivative of -z**7/560 - 31*z**6/480 - z**5/8 - 7*z**4/8 - 4*z**2 - 12. Let k(d) be the second derivative of j(d). Factor k(f).
-3*(f + 10)*(3*f + 1)/2
Let u = 6931 - 6929. Let n(m) be t... | {
"pile_set_name": "DM Mathematics"
} |
-2*k**3 + 17*k**2 - 12*k + 37. Suppose -47 + 39 = -w. Let c be q(w). Let d(o) = o**3 - 6*o**2 + 6*o - 7. What is d(c)?
-2
Let f(p) be the second derivative of -p**4/12 + 23*p**3/6 - 34*p**2 + 6*p - 518. Give f(4).
8
Let y(b) be the first derivative of b**4 + b**3/3 - b - 2500. Determine y(1).
4
Let s(m) = -7*m + 7*m - ... | {
"pile_set_name": "DM Mathematics"
} |
vided by 1
556389
-33748894 divided by 1088674
-31
What is 8245370 divided by -35?
-235582
What is 23522215 divided by -1?
-23522215
Calculate -1304120 divided by 20.
-65206
538100201 divided by -14263
-37727
Calculate 1661 divided by 14645.
1661/14645
Divide -100956451 by 5.
-100956451/5
Calculate -53386 divided by -6... | {
"pile_set_name": "DM Mathematics"
} |
for n.
-2
Solve -38 = -17*p - 2*p for p.
2
Solve 2*k - 40 = -36 for k.
2
Solve 2*z = -4*z - 30 for z.
-5
Solve 33 = -7*s + 54 for s.
3
Solve 3 = 4*w + 7 for w.
-1
Solve 0 = -3*k + 3 - 0 for k.
1
Solve 10*p + p - 22 = 0 for p.
2
Solve 15*m - 6 = 12*m for m.
2
Solve -3*c - 716 + 725 = 0 for c.
3
Solve 254*q - 249*q = -1... | {
"pile_set_name": "DM Mathematics"
} |
1? (a) y (b) -2/19 (c) f
b
Let k be (32/12)/(2/3). Let j = -2 + 3. What is the nearest to j in k, 2/9, -2/7?
2/9
Let l = 0.31 + -0.01. Which is the closest to 5? (a) 0 (b) l (c) 1/3
c
Let y be (51/(-34))/(1/2). What is the nearest to -1/6 in 0.5, -1, y?
0.5
Let l = -10 - -6. Let k be 5/(-2)*l/(-15). Let w = -67/1... | {
"pile_set_name": "DM Mathematics"
} |
= -6*b + b + 48. Find the common denominator of 17/6 and b/(-96) + (-38)/(-4).
24
Let n be (9/(-2))/(6 + (-137560)/22928). Let r = n + 631920/49. Calculate the common denominator of r and 38/3.
147
Let j = 1072921/7655481 - 2/36983. Calculate the common denominator of j and -67/3.
207
Calculate the lowest common multip... | {
"pile_set_name": "DM Mathematics"
} |
be the first derivative of 3*c**6/2 - c**2/2 - 2. Find the second derivative of a(j) wrt j.
180*j**3
Let l(g) be the first derivative of -1/2*g**6 + 0*g - 1/3*g**3 + 0*g**5 + 1 + 0*g**4 + 0*g**2. What is the third derivative of l(k) wrt k?
-180*k**2
Let q(a) = a - 3. Let l(d) = -5*d + 3*d - 7 + 4*d. Let i = 0 - 2. Let ... | {
"pile_set_name": "DM Mathematics"
} |
(a) 0.2 (b) -5/3 (c) -0.3 (d) -0.0368 (e) 1/2
b
What is the smallest value in -2/3, 25, -3, -1/6?
-3
What is the smallest value in -5, 21, -0.4?
-5
What is the smallest value in -0.1, -2/3, -44?
-44
Which is the fourth smallest value? (a) -2/7 (b) 0.7 (c) 4/31 (d) -2
b
What is the second smallest value in -0.4... | {
"pile_set_name": "DM Mathematics"
} |
513117 - -270876. Let y = b - -135241. Round y to the nearest 10000.
-110000
Let d = -140 - -142. Suppose 2*t - 2*j = -32199996, -t - d*j - 17976861 = -1876857. What is t rounded to the nearest 1000000?
-16000000
Let t = -392330.2197 + 392731.5. Let h = t + -140.27913. Let y = h - 261. What is y rounded to 4 decimal pl... | {
"pile_set_name": "DM Mathematics"
} |
factors of 48349.
7, 6907
List the prime factors of 22098.
2, 3, 29, 127
List the prime factors of 7013.
7013
List the prime factors of 4270.
2, 5, 7, 61
What are the prime factors of 16561?
16561
List the prime factors of 1732.
2, 433
What are the prime factors of 5644?
2, 17, 83
What are the prime factors of 649?
11... | {
"pile_set_name": "DM Mathematics"
} |
h is greater: b or a?
a
Let z(k) = -10*k**3 + 4*k**2 - 4*k + 6. Let a(m) = m**3 + m**2. Let g(x) = -a(x) + z(x). Let c be g(2). Is -78 != c?
False
Let s be (147/(-7) - -5)/(12/(-9)). Which is smaller: 2100 or s?
s
Let b = -359/169 - -1943/676. Let s(a) be the second derivative of -a**3/6 - a**2 - a. Let q be s(6). Whic... | {
"pile_set_name": "DM Mathematics"
} |
ob of picking 2 d and 2 q?
7/340
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {s: 3, b: 4, l: 8, f: 3, i: 1}.
8/57
What is prob of picking 1 m and 2 n when three letters picked without replacement from njlnlnnnjnnnlmnjjjnn?
11/228
What is prob of picking 1 w, 1 t, and 1 k when ... | {
"pile_set_name": "DM Mathematics"
} |
ur letters picked without replacement from {f: 2, j: 1, p: 3, g: 1, d: 7}?
1/4004
Two letters picked without replacement from qqpvvprppqpqkvvvqqqf. Give prob of sequence fq.
7/380
Three letters picked without replacement from {k: 5, q: 9, g: 1, s: 3}. What is prob of sequence skk?
5/408
Four letters picked without repl... | {
"pile_set_name": "DM Mathematics"
} |
+ c*o**2 + a + m*o and give a.
-2
Express (-8*l + 162 - 162)*(-5 - 6 + 0) in the form u*l + b and give u.
88
Rearrange -50 + 50 - 51*h**2 to w*h**2 + r*h + b and give w.
-51
Express -3*h**4 - 167*h**2 - 4*h**4 + 6*h**4 + 157*h**2 - 1 - 2*h**3 as g*h + v*h**4 + k + d*h**3 + t*h**2 and give k.
-1
Express (17 - 17 - 12*u... | {
"pile_set_name": "DM Mathematics"
} |
(a).
7
Let k be (-25296)/(-68) + 0 + 1. Suppose -k*f - 4 = -371*f. Let u(l) = 4*l**2 + l**3 - 2 - 3*l + 5*l + 0. What is u(f)?
2
Let x(c) be the second derivative of c**4/12 - 11*c**3/6 - 3*c**2/2 + 36*c. Let s be ((-186)/36 - -7)/((-2)/(-12)). What is x(s)?
-3
Let x(w) = 6*w**2 - 7*w**2 + 912 - 876 - 13*w. Determine x... | {
"pile_set_name": "DM Mathematics"
} |
22, 0.
-11, -0.17, 0, 22
Sort -490, -158, -5 in decreasing order.
-5, -158, -490
Put -16.8, 4, -0.2, 35, -2 in descending order.
35, 4, -0.2, -2, -16.8
Sort 1/4, -4, -6/5, 5, -4495 in decreasing order.
5, 1/4, -6/5, -4, -4495
Sort -3, 22450, -28 in increasing order.
-28, -3, 22450
Sort -1/19, 0.0458, -0.1.
-0.1, -1/19... | {
"pile_set_name": "DM Mathematics"
} |
+ 2. Solve -4*s + c*r - 21 = 0, -s + 3*r = s + 15 for s.
-3
Suppose 102 = 3*d + 1080*c - 1085*c, -64 = -d + 5*c. Solve d*x = 20*x - g - 7, -6 = 2*g for x.
4
Suppose 2*o - 25 = 4851*b - 4854*b, 2*b = -4*o + 30. Solve -b*h = -5*q + 10, 2*q + 1 = -4*h - 13 for q.
-1
Suppose 3*g + 16 = -4*t, -2*g + 0*g = 2*t + 12. Let l(c... | {
"pile_set_name": "DM Mathematics"
} |
between 10:44 AM and 12:01 PM?
77
What is 121 minutes after 12:41 AM?
2:42 AM
What is 644 minutes after 10:48 AM?
9:32 PM
What is 586 minutes before 10:37 AM?
12:51 AM
How many minutes are there between 3:24 AM and 8:52 AM?
328
What is 38 minutes after 6:20 PM?
6:58 PM
How many minutes are there between 3:03 PM and 3:... | {
"pile_set_name": "DM Mathematics"
} |
late (336/100)/((-249)/(-415)).
28/5
Evaluate (38/57)/((-298)/(-12516)).
28
What is the value of 8*112/(-32)*(11/(-11))/(-2)?
-14
(-368)/(-690)*2160/1280
9/10
Evaluate 175*((-502)/1004)/(14/4).
-25
What is the value of ((60/14)/(-6)*(-24)/(-180))/(270/(-4410))?
14/9
What is (((-2)/(-22))/(51/(-153)))/((32/4)/(-3784))?
... | {
"pile_set_name": "DM Mathematics"
} |
= 2*j, -6 = -2*r - 3*j. Suppose -4*g - r + 29 = 0. Let h be n(g). Solve h*x - 7*x = 4 for x.
-1
Suppose 3*i - 2*v = 22, i + v - 3*v - 2 = 0. Let g(y) be the second derivative of y**4/3 + 3*y**2/2 - 44*y. Let o be g(-1). Solve -o*c - i = -2*c for c.
-2
Let q = 278 + -273. Suppose 12 = 3*b, 3*l - q*b + b = 32. Solve -25... | {
"pile_set_name": "DM Mathematics"
} |
ive w.
8
Rearrange 49 - 3*f - 15 - f**3 + 0*f**3 + f - 31 to g + h*f + l*f**2 + k*f**3 and give g.
3
Express 116*k**3 - 2*k**2 + 5*k**4 - 7839*k + 7839*k in the form x + i*k**4 + u*k**3 + z*k**2 + s*k and give i.
5
Rearrange -382*g**2 + 60*g + g**3 - 26*g**4 + 381*g**2 - 57*g to y*g**4 + t*g + x*g**2 + c*g**3 + s and g... | {
"pile_set_name": "DM Mathematics"
} |
= 19*t**4 + 4*t**2 + 72*t - 4. Let o(i) = -56*i**4 - 11*i**2 - 217*i + 11. Let c(k) = -11*h(k) - 4*o(k). Find the second derivative of c(f) wrt f.
180*f**2
Let k be 1/(1 - 15/20). What is the second derivative of -g**4 - 5*g**4 + 6*g**4 + 23*g + 12*g**k wrt g?
144*g**2
Let s(w) be the second derivative of -w**5/20 - 2*... | {
"pile_set_name": "DM Mathematics"
} |
tive.
x**(539/15)
Simplify (w/(w*w**(-1/6)*w)*w*w)**1/((w*w**6*w)/(w/w**(-10/9))) assuming w is positive.
w**(-85/18)
Simplify (i/(i/(i**(8/5)/i)*i)*i*i)/((i*(i/(i*i/(i**(-2/19)/i)))/i)/i)*i**(-1/14)*i*i**(-8)*i assuming i is positive.
i**(-1817/1330)
Simplify (i**6*i)**(-40)*i*i**(-1/16)*i**(3/8) assuming i is positiv... | {
"pile_set_name": "DM Mathematics"
} |
rime?
True
Suppose 2*c + 2 = -2*b, -12 = b + 5*c + 9. Suppose b*w - 53 = 3. Let o(h) = 12*h + 17. Is o(w) composite?
True
Let d(j) be the second derivative of -13*j**5/10 - j**4/12 - j**3/6 + 5*j**2/2 + 15*j. Is d(-3) a prime number?
True
Suppose 0 = -20*w + 6*w + 3485734. Is w a prime number?
True
Let d = 67 + -63. Su... | {
"pile_set_name": "DM Mathematics"
} |
g(c) = 13*c - 3. Is 7 a factor of g(f)?
False
Let w be -1 + 4/2 - -7. Suppose 0 = -2*s - 4 + w. Let t(v) = 10*v + 1. Is 12 a factor of t(s)?
False
Let q = 280 - -35. Does 45 divide q?
True
Let w(x) = x**2 + 11*x - 18. Is 14 a factor of w(-17)?
True
Suppose 0 = 3*d + 4*z - 56, 7*d - 4*z = 3*d + 28. Is d a multiple of 1... | {
"pile_set_name": "DM Mathematics"
} |
36*x**2 + 32*x + 19. Give c(-35).
124
Let n(t) = 18*t**2 + 36*t - 207. Determine n(-4).
-63
Let o(j) = -2*j**2 - 48*j - 170. Give o(-20).
-10
Let i(k) = -3*k**2 + 423*k + 5506. Give i(153).
-2
Let g(p) = 3*p**2 - 7*p - 7. Determine g(3).
-1
Let h(f) = -f**3 - 2*f**2 + 85*f + 5. Determine h(0).
5
Let b(d) = d**2 + 54*d ... | {
"pile_set_name": "DM Mathematics"
} |
b(4). What is x(d)?
1
Suppose 3*p = -5*l - 167, -2*l - 23 = -l - 2*p. Suppose -5*x + 4*t = 149, -141 = 3*x + t - 55. Let w = l - x. Let g(o) = 7*o + 3. Give g(w).
-11
Let b(s) = 22 + 28 - 2*s - 8 - 2. What is b(0)?
40
Let x(h) = h**2 - 8*h - 11. Let d be (-3)/(-6) + 172/8. Suppose -d*z + 222 = 24. Determine x(z).
-2
L... | {
"pile_set_name": "DM Mathematics"
} |
t g be (i/(-10))/((-4)/20). Is g > -3?
True
Let h(j) = -j + 3. Let k be h(0). Which is smaller: 1 or k?
1
Let o = 17129202 - 39208744999/2289. Let a = 2/327 - o. Which is greater: 1 or a?
1
Suppose 6*s - 4*s - 2 = 0. Let l be -3 + 13/((-39)/(-14)). Is s at least l?
False
Suppose -s + 8 = -5*s. Let k be ((-2)/16)/(s/(-1... | {
"pile_set_name": "DM Mathematics"
} |
53
Suppose 80555 = 34*z - 17*z - 12*z. List the prime factors of z.
16111
Let w = -24 + 23. Let u be w/(-7) + (-902)/(-154). Suppose -85 = -u*z + 407. What are the prime factors of z?
2, 41
Let t be (0*2/10)/(-2). Suppose t*j = -j - 5*y + 391, 20 = 4*y. List the prime factors of j.
2, 3, 61
Let u = -3550 + 4768. List t... | {
"pile_set_name": "DM Mathematics"
} |
True
Does 301 divide 31304?
True
Does 30 divide 361950?
True
Does 40 divide 43754?
False
Is 6 a factor of 639630?
True
Is 315 a factor of 6087060?
True
Is 20 a factor of 349830?
False
Does 688 divide 146544?
True
Is 42 a factor of 1884414?
True
Is 4 a factor of 52232?
True
Is 880 a factor of 297440?
True
Is 577556 a m... | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence rt?
14/153
What is prob of sequence cddd when four letters picked without replacement from dcdddcdddddddddddd?
14/153
What is prob of sequence rr when two letters picked without replacement from {d: 1, i: 2, r: 2, n: 1, h: 2, o: 4}?
1/66
What is prob of sequence www when three letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
t t be z(m). Solve 3*s = -4*d + 35, 3*d - t*s = -4*s for d.
5
Suppose 5*u + 43 - 278 = 0. Let t = 50 - u. Solve 4*x - 33 = -5*j, 3*j + 0*x - 21 = -t*x for j.
5
Let a be -6 + (17 - (18 + -9)). Solve 0*z - 2*z + a*j + 2 = 0, -5*j - 25 = 0 for z.
-4
Let j(x) be the second derivative of x**5/20 + x**4 + 3*x**3/2 - 9*x**2/2... | {
"pile_set_name": "DM Mathematics"
} |
Let y be d(-1). Suppose -p - 6 + 22 = -y*z, p = -z - 4. Solve p = -5*x + 4*x + n - 1, 5*n - 25 = 0 for x.
4
Let f(g) = 4 + 1 - 17*g + 2*g - g**2. Let l be f(-15). Solve -5*w + 45 = -l*d, -5*d + 3*d - w = 6 for d.
-5
Let x be (-2)/4 + 52/8. Let t(z) = -z**2 - 13*z - 6. Let n be t(-12). Let f = 1 + n. Solve -s + 2*o + f ... | {
"pile_set_name": "DM Mathematics"
} |
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