text stringlengths 270 8.19k | meta dict |
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e
Let p(f) = 12*f**2 - f. Suppose -4*m - 6 = 6. Is p(m) a prime number?
False
Let v(f) = -f**2 - 2*f + 5. Let l be v(-4). Is 115/(1 + l + 3) prime?
False
Let d be (7 - 2) + -1*2. Suppose -5*i + 0 + 4 = d*p, -3*p + 4*i = -13. Suppose -2*w = 4*o - 4, -10 = -o + p*w + 5. Is o a composite number?
False
Let x(h) = -3*h**3 +... | {
"pile_set_name": "DM Mathematics"
} |
11691.95 centimeters to micrometers.
116919500
What is 0.834734 millennia in centuries?
8.34734
What is 27/4 of a centimeter in micrometers?
67500
What is 1/6 of a week in hours?
28
What is 13/5 of a meter in centimeters?
260
What is three tenths of a decade in years?
3
What is 81.3048um in centimeters?
0.00813048
What... | {
"pile_set_name": "DM Mathematics"
} |
for r.
-22
Solve 35*b = -7224 + 6664 for b.
-16
Solve 6*b - 369 = -0*b - 9*b + 6*b for b.
41
Solve 9*f = 437*f - 5494 - 39740 - 16398 for f.
144
Solve -180 = -102*c + 593 + 3523 + 702 for c.
49
Solve -1227*j - 1167*j = -296856 for j.
124
Solve 651 - 1962 = 80*t + 3169 for t.
-56
Solve 0 = 263483*g - 263323*g - 6720 for... | {
"pile_set_name": "DM Mathematics"
} |
t w = -88285749417859 + 88285765991014.0000044. Let b = -16573158 + w. Let o = b + 3. Round o to 6 dps.
0.000004
Let r = 4.4839 + -195.6379. Let l = r + 0.154. Let a = 190.891 + l. Round a to 2 dps.
-0.11
Let p = 0.8 - 8.9. Let q = -8.53 - p. Let t = q + 0.03. What is t rounded to the nearest integer?
0
Let m = 0.0595 ... | {
"pile_set_name": "DM Mathematics"
} |
4 + 2*p**2 - 4).
-54*p**3
Expand (4*j**5 - j**5 + 0*j**5)*(1 + 2 + 1).
12*j**5
Expand (-v**3 + 2*v**3 - 2*v**3)*(3*v**2 + 5*v**2 + 5*v**2) + 1 - 2*v**5 - 1 + (-5*v + 2*v**3 + 5*v)*(v**2 - 2*v**2 - v**2).
-19*v**5
Expand -3*b**2 + 2*b**2 + 8*b**2 + 2*b**2 - 2 + 2 + (-3*b - 3*b + 7*b)*(2*b + 5 - 5).
11*b**2
Expand ((-w**... | {
"pile_set_name": "DM Mathematics"
} |
ue in -4, -2, 4.6634633?
-4
What is the second biggest value in -0.01, -149, 0.2, 0.1, -13, 2, 39?
2
What is the fourth smallest value in -3, -2/767, 0.4, 0.3, 0.5, 2, -62?
0.3
Which is the third smallest value? (a) 430 (b) -75 (c) 163
a
What is the fifth biggest value in 2, 2/23, -0.3, -5, -3, 6/7, 0.0023?
-0.3
Wha... | {
"pile_set_name": "DM Mathematics"
} |
of z?
8
Let y = -10042 - -14937. What is the tens digit of y?
9
Let i(b) be the third derivative of -b**6/120 + b**5/15 + 7*b**4/24 - b**3 + 21*b**2. What is the units digit of i(-5)?
4
Let j(q) = 3*q**2 - 36*q - 303. What is the thousands digit of j(-31)?
3
Suppose 2*q = -5*p + 2770, -5*p = -24*q + 20*q - 2740. What i... | {
"pile_set_name": "DM Mathematics"
} |
, 5, 0.1?
-10/3
What is the closest to 1/3 in -6, -0.4, 4/23, -0.1?
4/23
What is the nearest to -3 in -1.3, -0.5, 0, -0.3?
-1.3
What is the closest to -0.5 in 0.1, -0.05, -0.8, 3?
-0.8
Which is the nearest to 0.1? (a) 2 (b) 5 (c) -3/2 (d) 0.2
d
What is the nearest to 0.1 in -0.4, -4/13, 0.5, 3?
0.5
Which is the nea... | {
"pile_set_name": "DM Mathematics"
} |
n base 12, what is a5 + 1a?
103
In base 16, what is 2 + 46?
48
In base 4, what is -1131 + -2?
-1133
In base 9, what is 260 + -60?
200
In base 4, what is 0 - -331?
331
In base 5, what is 1 + 101?
102
In base 9, what is 2 + -5?
-3
In base 8, what is 2 - -1721?
1723
In base 9, what is 26 + -45?
-18
In base 8, what is 5 - ... | {
"pile_set_name": "DM Mathematics"
} |
(g))?
-20*g**2
Let y(c) be the third derivative of c**5/30 + 3*c**2. Let n(p) be the third derivative of -9*p**2 - 1/30*p**5 + 0 + 0*p + 0*p**4 + 0*p**3. Give y(n(l)).
8*l**4
Let x(m) be the second derivative of 7*m**3/3 - 1524*m. Let i(h) = 10*h. Let l(q) = q. Let z(v) = -i(v) + 8*l(v). Give x(z(n)).
-28*n
Let y(m) = ... | {
"pile_set_name": "DM Mathematics"
} |
po. What is prob of picking 1 p and 1 s?
9/91
Two letters picked without replacement from mepkekj. What is prob of picking 1 m and 1 e?
2/21
What is prob of picking 1 e and 1 q when two letters picked without replacement from epwewqwepes?
4/55
What is prob of picking 1 v and 2 i when three letters picked without replac... | {
"pile_set_name": "DM Mathematics"
} |
c = 14. Let h(v) = -v**3 + 5*v**2 - 3*v + 4. Calculate h(n).
13
Let l be (214/642)/(-2*2/(-4)). Let j(s) be the third derivative of -1/120*s**6 + 0*s + 18*s**2 + l*s**3 + 0*s**5 + 0*s**4 + 0. Give j(0).
2
Let z(j) = 5*j**2 - 2*j + 2. Let u(v) = -48*v**2 + 18*v - 26. Let a(q) = u(q) + 10*z(q). Give a(-5).
54
Let s(c) = ... | {
"pile_set_name": "DM Mathematics"
} |
Differentiate -189*g + 1 + 189*g + n*g**3 with respect to g.
18*g**2
Let m(s) be the first derivative of -87/2*s**2 + 44 + 0*s**3 + 0*s + 121/2*s**4. Find the second derivative of m(o) wrt o.
1452*o
Let k(d) = 7175*d**2 - 6331. Let o(b) = 1793*b**2 - 1584. Let a(q) = 6*k(q) - 23*o(q). Find the first derivative of a(s)... | {
"pile_set_name": "DM Mathematics"
} |
Let w(i) = i**3 + 197*i**2 - 12954*i - 868. Calculate w(-249).
626
Let b(m) = -51875*m - 259408. Give b(-5).
-33
Let w(r) = r**3 - 546*r**2 + 52622*r + 1266. Calculate w(421).
3
Let m(f) = 18504*f + 11120908. What is m(-601)?
4
Let u(q) = -q**3 - 166*q**2 + 5515*q + 915507. What is u(-166)?
17
Let g(t) = -2*t**2 - 272*... | {
"pile_set_name": "DM Mathematics"
} |
as f?
True
Let z(o) = o + 4. Let k be z(-5). Which is smaller: -3/8 or k?
k
Let n(d) = -d - 8. Let y be n(-8). Is -1/17 != y?
True
Let h = -89.1 - -88. Which is greater: 0.06 or h?
0.06
Suppose 15 = d - 9. Is 20 smaller than d?
True
Let f be (284/10)/(18/(-75)*-5). Are 25 and f nonequal?
True
Suppose -1 - 3 = 2*h. Let... | {
"pile_set_name": "DM Mathematics"
} |
158661?
-110530158753
Work out -1 + -1759662644.
-1759662645
Sum 1.08 and -0.8383839177.
0.2416160823
Subtract -306499301 from 2.686.
306499303.686
Add together 0.08044367 and -41210.
-41209.91955633
What is 302692125 plus 862?
302692987
Sum -0.46617672673 and 0.0067.
-0.45947672673
Calculate -10927387682 - 25.
-109273... | {
"pile_set_name": "DM Mathematics"
} |
+ 4226 for b.
-15
Solve -4 + 45 = -25*p - 3 - 6 for p.
-2
Solve 151 + 122 = 1351*i - 1312*i for i.
7
Solve -167 + 7128 = 335*j - 744 for j.
23
Solve 200*f - 256 - 529 = 1255 + 360 for f.
12
Solve 0 = -450*y + 123351 - 113001 for y.
23
Solve 79268 + 7398 = -2281*q - 4574 for q.
-40
Solve -9425*v + 647852 = 11587*v - 717... | {
"pile_set_name": "DM Mathematics"
} |
?
352753
What are the prime factors of 1178155?
5, 11, 31, 691
What are the prime factors of 735866?
2, 139, 2647
What are the prime factors of 2373581?
7, 107, 3169
List the prime factors of 31819361.
7, 31, 331, 443
List the prime factors of 634023.
3, 13, 5419
What are the prime factors of 686998?
2, 13, 26423
What ... | {
"pile_set_name": "DM Mathematics"
} |
/x)**(2/41) assuming x is positive.
x**(1524/1435)
Simplify (v**17*v)/v*v**(-16)*(v**(-4))**(-39) assuming v is positive.
v**157
Simplify ((y/(y**(-2)/y))**(-2)*y**(-10)/y**(-2/7))**(4/3) assuming y is positive.
y**(-496/21)
Simplify (w**(-5)/w)**(-2/49)/(w*w**(-8/7)*w/w**(1/8)) assuming w is positive.
w**(-191/392)
Si... | {
"pile_set_name": "DM Mathematics"
} |
1/10 and 2/7 + 282/y.
10
Let j = 6 + 11. Suppose 4*p - 27 = j. Suppose 3*v + 3*r - 2*r - 23 = 0, -v - 2*r + 11 = 0. Calculate the smallest common multiple of v and p.
77
Let y be (-9)/(-6)*1*2. Calculate the common denominator of 19*2/((-36)/(-1)) and 226/24 + y/(-9).
36
Let d = 0 + 3. Let f be -2*d/(30/11069). Let a =... | {
"pile_set_name": "DM Mathematics"
} |
91*t**2 - 3*t - 1. What is f(-1)?
-89
Let k(i) = i**2 - 11*i + 8. Calculate k(7).
-20
Let d(o) = 7*o + 55. Determine d(-7).
6
Let p(s) = -169*s + 6. Give p(-1).
175
Let u(o) = -o**3 + 10*o**2 - 19*o + 3. What is u(3)?
9
Let m(b) = -b**3 - 9*b**2 - 10*b - 1. Calculate m(-8).
15
Let x(y) = 2*y**3 + 2*y**2 + 2*y - 2. What... | {
"pile_set_name": "DM Mathematics"
} |
u**2 - 8*u**5 + 10*u**2 + 6*u**x wrt u.
-120*u**2
Let k(u) = u**3 - 4*u**2 + 2*u + 3. Let t be k(3). Suppose t = -3*w + 1 + 5. Find the third derivative of -3*j**6 - j**2 - 4*j**w + 3*j**2 wrt j.
-360*j**3
Let i(z) = z. Let k(n) = -4*n - 1. Let b(l) = 6*i(l) + 2*k(l). Let s be b(-4). Find the third derivative of -5*o**... | {
"pile_set_name": "DM Mathematics"
} |
3
Solve 0 = -11*h - 105*h for h.
0
Solve 3 = 32*c - 35*c for c.
-1
Solve 0 = 4*q - 17 + 29 for q.
-3
Solve 8*b - 78 = -6 for b.
9
Solve 0 = 2*c - 4 + 8 for c.
-2
Solve 14 = -109*g + 102*g for g.
-2
Solve -421*f - 14 = -428*f for f.
2
Solve -1296*s + 1298*s = 4 for s.
2
Solve -12*w + 9*w = -15 for w.
5
Solve -32*w - 208... | {
"pile_set_name": "DM Mathematics"
} |
-31 + p for u.
5
Let u = 11 - 9. Suppose -3*l + 7*z = u*z + 16, -4*z = 5*l - 35. Let b be 3/l + 4 - 1. Solve -8 + b = 2*p for p.
-2
Suppose -3*h = m - 575, 14*h - 18*h - 2*m = -768. Solve 187 = -2*p + h for p.
2
Let q = -61 + 64. Suppose -q*d + 1 = 4*g, 0*d - 4*d = 20. Solve -g*s = s for s.
0
Let y = -71 - -26. Let l ... | {
"pile_set_name": "DM Mathematics"
} |
What is 20021211 (base 4) in base 7?
166215
Convert -6a0283a (base 11) to base 14.
-18a9d13
What is -20410004 (base 6) in base 7?
-5014516
What is 11322323033 (base 4) in base 3?
2220212001102
What is 5d7b23 (base 16) in base 13?
1366694
-40d854 (base 16) to base 8
-20154124
Convert 3951915 (base 10) to base 11.
225a15... | {
"pile_set_name": "DM Mathematics"
} |
- 4. Suppose 0*p = t*p - 20. Let v be ((-5)/(-3))/(p/(-30)). Put 1, v, 5 in descending order.
5, 1, v
Let u be (12/(-3))/(-4)*12/(-3). Let p = 1 + 1. Suppose -5*s - p = -17. Sort s, u, -5 in descending order.
s, u, -5
Suppose 4*f = 19 + 1. Let l = -19 + 23. Suppose 0 = -f*j + v + 5, l*v = 5*j + v - 5. Sort j, 5, -5.
-... | {
"pile_set_name": "DM Mathematics"
} |
10*((-194)/(-10) - 2). Suppose -11*b + 17*b = k. Let h(s) = -4*s - 2. What is the remainder when b is divided by h(-2)?
5
Suppose -41*y = 13032 - 36689. What is the remainder when y is divided by 26?
5
Suppose -q + 14507 = 5*d, -3*d = -3*q - 0*q - 8715. What is the remainder when d is divided by 88?
86
Let q(z) = -z**2... | {
"pile_set_name": "DM Mathematics"
} |
er of 1/5, to the nearest integer?
10
What is 16137714 to the power of 1/2, to the nearest integer?
4017
What is the square root of 2379131 to the nearest integer?
1542
What is the third root of 13704511 to the nearest integer?
239
What is 453971 to the power of 1/2, to the nearest integer?
674
What is the cube root of... | {
"pile_set_name": "DM Mathematics"
} |
27) + -1 + sqrt(27)) - sqrt(27) - sqrt(27))**2))*-6.
-1488 + 90*sqrt(3)
Simplify (-2*sqrt(1980) - sqrt(1980))/sqrt(5) - (sqrt(22)/sqrt(2)*2 + 4).
-20*sqrt(11) - 4
Simplify (-4*(-4 + sqrt(8)*-3) + -2)**2.
672*sqrt(2) + 1348
Simplify ((sqrt(30) - -6*sqrt(30)*-2) + sqrt(30))/(-3*sqrt(10)*-1) + 5.
-10*sqrt(3)/3 + 5
Simplif... | {
"pile_set_name": "DM Mathematics"
} |
9, -1, 5?
-1
What is the closest to 0 in 747, -4, 1?
1
Which is the nearest to 2/13? (a) 5 (b) -1 (c) -3/5 (d) 2/17
d
Which is the nearest to 0? (a) 1.9 (b) 0.4 (c) -0.04
c
What is the nearest to -122 in 3, -1, -4, 4?
-4
What is the nearest to 1/2 in 0, -829, 3?
0
Which is the closest to -1? (a) 1 (b) 4 (c) -... | {
"pile_set_name": "DM Mathematics"
} |
- 26*b**2 - 3*b + 17
What is the i'th term of -91, -338, -751, -1330?
-83*i**2 + 2*i - 10
What is the y'th term of -27, -33, -43, -57, -75?
-2*y**2 - 25
What is the q'th term of 1885, 1880, 1875?
-5*q + 1890
What is the b'th term of -18, -47, -88, -141, -206?
-6*b**2 - 11*b - 1
What is the s'th term of 454, 456, 458?
2... | {
"pile_set_name": "DM Mathematics"
} |
/9 + 4/(-12). Suppose 0 = 9*w - c - 16. Factor w*f - 2/3 - 2*f**2 + 2/3*f**3.
2*(f - 1)**3/3
Let x(a) be the second derivative of a**4/36 + a**3/9 + a**2/6 - 8*a. Factor x(q).
(q + 1)**2/3
Let o be (1 + 1/(-2))*1. Factor -1/2*m**2 + 1/2*m**4 + 0*m + o*m**3 - 1/2*m**5 + 0.
-m**2*(m - 1)**2*(m + 1)/2
Let z(l) be the seco... | {
"pile_set_name": "DM Mathematics"
} |
7*h**2
Collect the terms in -g**2 + 0 - 1 + 3*g**2 - 22*g - 11.
2*g**2 - 22*g - 12
Collect the terms in -3*w + 2 + 3*w - 319*w**2 + 163*w**2.
-156*w**2 + 2
Collect the terms in -24*v + 3 + 8*v + 7*v + 12*v.
3*v + 3
Collect the terms in -4206*i - 4195*i + 8403*i.
2*i
Collect the terms in 2*v - 5*v - 19912*v**3 + 19828*v... | {
"pile_set_name": "DM Mathematics"
} |
(a) 0.1 (b) o (c) y
b
Let d be 22/8 + -6 + 147/28. Let y be (-3)/(21/d)*-1. What is the second biggest value in 1, 5, y, -1?
1
Let n = 209.3 + -209. Which is the biggest value? (a) 2/9 (b) n (c) -12/5
b
Let o = 176 + -175.8. What is the third smallest value in 5, o, 12?
12
Let j be ((-6)/63)/((-88)/154). What is ... | {
"pile_set_name": "DM Mathematics"
} |
189.4887362. Let g = -38 + b. What is g rounded to seven decimal places?
0.0000008
Suppose 11*n = -2*n - 16133. Round n to the nearest 10.
-1240
Suppose 280*t - 50670 = 271*t. Round t to the nearest one hundred.
5600
Let w = 8588 + -9041.7. Let n = w - -433. Round n to the nearest integer.
-21
Let x = -0.08 - -3.48. Le... | {
"pile_set_name": "DM Mathematics"
} |
+ 0) in the form u*s + y and give y.
3
Rearrange -195*m**2 + 43*m - 156*m + 2 + 58*m + 47*m to the form x*m + v + a*m**2 and give x.
-8
Express (3*v**3 - 81847 - 5*v - 81862 + 163732)*(-7 - 4*v + 8 + 3) as q*v**2 + r*v**4 + a*v**3 + k*v + n and give a.
12
Rearrange 26*x + 12*x + 258 - 12*x - 20*x + 58 to z*x + o and gi... | {
"pile_set_name": "DM Mathematics"
} |
common denominator of k and h.
12
Let c(b) = 2*b + 3. Let m = 81/11 + 197/33. Calculate the common denominator of m and c(-2).
3
Let m be 5/(2*3/6). Let p be 15/m + (-64474)/(-110). Let f = 2962/5 - p. What is the common denominator of f and 47/3?
33
Let a = -30 - -58. Calculate the common denominator of 76/3 and (a/(-... | {
"pile_set_name": "DM Mathematics"
} |
- 2*r - 2*r)*(-2 + 0 + 0) + r + 2 - 2.
5*r
Expand (-2*a**2 + 0 + 0)*(-5*a**2 + 3*a**2 + 3*a**2) + (4 - 1 - 1)*(0 - 2*a**4 + a**4 + 2).
-4*a**4 + 4
Expand (-3*q**3 + q**3 + q**3)*(2*q - 3*q + 2*q) + 0*q**3 - 2*q**4 + 0*q**3 + (-2*q + q + 0*q)*(q**3 + 0*q**3 - 4*q**3) - 3*q**4 + 7*q**4 + 0*q**4.
4*q**4
Expand 4*n - 3*n -... | {
"pile_set_name": "DM Mathematics"
} |
*b - 5*q. Suppose 3*z - 86 = -2*j, -4*z = 5*j - b + 57. Is 13 a factor of j?
False
Let m be (-74)/(-4) + (-2)/4. Suppose -f + m = -0*f. Is f a multiple of 9?
True
Let w(c) = c**3 + 7*c**2 - 4*c. Let k be (7/(-2))/(1/2). Is w(k) a multiple of 9?
False
Let f be (2/(-5))/((-1)/(-10)). Let g be (2/f)/(1/(-4)). Let m(h) = 2... | {
"pile_set_name": "DM Mathematics"
} |
*n**3
Let z be (2/(-6))/(6/(-18)). Suppose 0 = -2*d + z + 3. Find the third derivative of 3*n**2 - 3*n**2 - d*n**2 + n**3 - 2*n**3 wrt n.
-6
Suppose 14*i + 20 = 4*i. Let c(m) = 47*m**3 - 3. Let x(l) = -49*l**3 + 2. Let w(q) = i*x(q) - 3*c(q). What is the first derivative of w(d) wrt d?
-129*d**2
Let x(z) = -z**3 - 10*z... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 2*n**2 + 4*n. Give 3*m(r) + 12*z(r).
54*r**3 + 6*r**2
Let i be (((-5)/(-3))/((-10)/30))/1. Let x(l) = -8*l. Let p(o) = -3*o - 6. Let t(n) = -4*n - 5. Let s(c) = -5*p(c) + 6*t(c). Give i*x(d) + 4*s(d).
4*d
Let q(i) = -60*i**2 + 3 + 124*i**2 - 65*i**2 - 2 - 4*i. Let r(h) = 5*h - 2. Give -3*q(x) - 2*r(x).
3*x**2 + 2... | {
"pile_set_name": "DM Mathematics"
} |
increasing order.
-4, 1, 267, 137577
Sort 3, -1/118070, 7 in increasing order.
-1/118070, 3, 7
Put 0.1, 199, 6.7 in ascending order.
0.1, 6.7, 199
Put 1, -623.15, 0.68, 0.5 in increasing order.
-623.15, 0.5, 0.68, 1
Sort 8, -45082, -7, 1 in increasing order.
-45082, -7, 1, 8
Put 4, -0.3, 1150, 4/9, 3/7 in increasing or... | {
"pile_set_name": "DM Mathematics"
} |
o(x)?
-7*x
Let o(z) = 81*z**3 - 51*z**2 + 21*z + 21. Let p(j) = 8*j**3 - 5*j**2 + 2*j + 2. Let s = 5832 - 5834. Determine s*o(l) + 21*p(l).
6*l**3 - 3*l**2
Let n(d) = -18*d**2 + 47*d - 26. Let q(u) = 13*u**2 - 47*u + 24. What is -3*n(c) - 4*q(c)?
2*c**2 + 47*c - 18
Let g(p) = -p. Let t be 26/(-39) - (-10)/6. Let y(c) =... | {
"pile_set_name": "DM Mathematics"
} |
c = 0.
-5, 0
Suppose -28*i**5 + 132*i**4 - 23*i**3 - 200*i**2 - 108*i - 16 = 0. Calculate i.
-1/2, -2/7, 2, 4
Let 4*b**4 + 216*b**3 + 2448*b**2 - 12760*b + 10092 = 0. What is b?
-29, 1, 3
Solve 4*r**3 + 524*r**2 + 16896*r - 17424 = 0 for r.
-66, 1
Factor -5*m**4 + 5*m**3 + 30*m**2.
-5*m**2*(m - 3)*(m + 2)
Factor -w**4/... | {
"pile_set_name": "DM Mathematics"
} |
2 - 4*c**2. Find the second derivative of h(n) wrt n.
140*n**3
Differentiate -13 - y**2 + 112*y**3 + y**2 - 99*y**3 with respect to y.
39*y**2
Let d(i) = -i**3 + 7*i**2 - 4*i + 2. Let k be (36/15)/((-6)/(-15)). Let p be d(k). Differentiate p*b**2 - 3 - 14*b**2 + 3*b**4 with respect to b.
12*b**3
What is the derivative ... | {
"pile_set_name": "DM Mathematics"
} |
1/6*o**4 + 0 + 0*o**3 + n*o. What is the third derivative of k(m) wrt m?
30
Let x(o) = 1667*o**4 + 10*o**2 + 26*o + 33. Let h(g) = 833*g**4 + 4*g**2 + 14*g + 16. Let q(y) = -5*h(y) + 2*x(y). What is the second derivative of q(c) wrt c?
-9972*c**2
Suppose 1 = m - 2. Let g = m + -1. What is the third derivative of 23*i -... | {
"pile_set_name": "DM Mathematics"
} |
v. Give prob of sequence qzv.
1/35
Four letters picked without replacement from {x: 3, i: 1, h: 2, j: 1}. Give prob of sequence jxih.
1/140
Four letters picked without replacement from {y: 4, d: 3}. What is prob of sequence dydd?
1/35
Calculate prob of sequence tq when two letters picked without replacement from {q: 3,... | {
"pile_set_name": "DM Mathematics"
} |
51*n**2. Let p(c) = c**3 + 3*c**2 + 2*c. Let j be p(2). Suppose 2*k - 18 = j. Give k*h(i) + 2*g(i).
-3*i**2
Let y(v) = -21*v + 11. Let w(o) = -8*o + 11. Let z(l) = -4*l + 6. Let m(x) = -4*w(x) + 7*z(x). Let i be 10/(-8) - (-8)/32 - 1. Determine i*y(j) - 11*m(j).
-2*j
Let l(x) = 2*x - 1. Let v(t) = 171*t - 99. Determine... | {
"pile_set_name": "DM Mathematics"
} |
p = -25/4 + 167/28. Let l = 4.2 - 4. Which is the closest to l? (a) 0.2 (b) 0.1 (c) p
a
Let i be 609/(-18) - (-1)/3. Let o = 33 + i. Which is the closest to -0.1? (a) 3 (b) 0.2 (c) o
b
Let q = -12/13 + 59/78. What is the closest to -2 in -0.3, q, 0?
-0.3
Let i(r) = -6*r**2 + 2*r + 2. Let a be i(2). Let d = -13 - ... | {
"pile_set_name": "DM Mathematics"
} |
-1) + -7 + (-8 - -10)?
5
Evaluate 88/(-484)*22/(-4).
1
Calculate 3/(36/8)*(-9)/(-42).
1/7
Calculate 221/728 + (-2)/(-16).
3/7
What is -6 + 6 + ((-18)/(-15))/3?
2/5
1 - 4/2 - (-80 - -82)
-3
Calculate 19 - 16 - (-26)/(-8).
-1/4
(14/6 + -2)*(-2 + -1)
-1
Calculate (3 - (-7 - -9))*-3.
-3
Evaluate 3/(-6)*(-6)/(-3).
-1
10*(9/... | {
"pile_set_name": "DM Mathematics"
} |
and a?
60
Suppose 3*t - 308 = 2*t. Suppose -28*v - t = -35*v. Calculate the lowest common multiple of v and 32.
352
Suppose 5*z + 18 + 7 = 2*h, 5*h - z = 97. Let p(g) = 11*g + 19. Let y be p(-8). Let v = y + 73. Calculate the lowest common multiple of h and v.
20
Calculate the least common multiple of (-57 - 3)/(-2)*6/... | {
"pile_set_name": "DM Mathematics"
} |
est integer?
6
What is 9659224 to the power of 1/3, to the nearest integer?
213
What is 265400 to the power of 1/3, to the nearest integer?
64
What is 18807445 to the power of 1/3, to the nearest integer?
266
What is 4137125 to the power of 1/2, to the nearest integer?
2034
What is the square root of 17618479 to the ne... | {
"pile_set_name": "DM Mathematics"
} |
+ 1263*r**3 - 5*r**2 - 3834*r**3 + 11*r. Let l be -20*(-1)/(-6)*(-9)/(-3). Let p be j(l). Round p to the nearest one hundred thousand.
2600000
Let a = 1640.9998731 - 1641. What is a rounded to five dps?
-0.00013
Let q = 27 - -10. Let a = -3.5 - q. Let j = -32 - a. What is j rounded to the nearest integer?
9
Let d = 6 ... | {
"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"
} |
) to w + g*u and give g.
-201
Rearrange 23*o - 117 - 118 + 236 to l*o + d and give l.
23
Rearrange 2 + r**4 - 185841*r - 11*r**2 - 12*r**3 + 185841*r to the form j*r**3 + p*r + i*r**2 + x*r**4 + o and give p.
0
Express 206*m - 40*m + 100*m + 57*m in the form i + p*m and give p.
323
Rearrange -3*b - 118 + 118 + 24*b**3 ... | {
"pile_set_name": "DM Mathematics"
} |
**(13/2)*g)*g*g**(2/41)*g)**(-1/31) assuming g is positive.
g**(89713/22878)
Simplify ((z/(z/(z/z**(-3))))/(z*z**(-3)/z*z))**20*((z*z**3)/((z**(-3/5)*z*z*z)/z))**(-3) assuming z is positive.
z**(561/5)
Simplify ((m/(((m*m**(-27))/m)/m))/m**1*(m/((m*m/(m/(m/m**(7/4)))*m)/m))**(4/39))**(-20) assuming m is positive.
m**(-... | {
"pile_set_name": "DM Mathematics"
} |
rime factors of 348122?
2, 174061
List the prime factors of 141283.
141283
What are the prime factors of 12346765?
5, 919, 2687
What are the prime factors of 964169?
887, 1087
What are the prime factors of 332669?
79, 4211
List the prime factors of 3386150.
2, 5, 67723
What are the prime factors of 31609395?
3, 5, 7024... | {
"pile_set_name": "DM Mathematics"
} |
= s. Is v composite?
False
Let d be ((-4)/(-6))/(2/12). Suppose 0 = 4*f + s - 2109, -f - d*s = 159 - 690. Is f a prime number?
False
Let b(d) = 457*d - 25. Let g be b(8). Suppose -4*y - 4*u = -3616, y - 5*y + u = -g. Suppose 5*l - y = 4*l. Is l a composite number?
False
Let v(i) = 4*i + 2. Let l be v(-2). Let n(j) = -1... | {
"pile_set_name": "DM Mathematics"
} |
27. Suppose -y*j + 2*j = -66. What is the units digit of j?
3
Let z(b) = -2*b**2 - 30*b - 5. Let n be z(-14). Let m = 74 - n. What is the units digit of m?
1
Suppose 9*l - 10*l = -16. Suppose 5*c - l = -2*y, 0 = -y - 2. Suppose 4*n - 757 = -5*t, c*n - 163 - 288 = -3*t. What is the hundreds digit of t?
1
Let d(f) be the... | {
"pile_set_name": "DM Mathematics"
} |
3))*-6?
9
Let q = -32 + 7. Let p = 36 + q. What is the tens digit of p?
1
Let x = 4 + -4. Let m be x + (6 + 1 - -2). What is the units digit of 0 + -3*(-6)/m?
2
Suppose -153 = -3*x + 5*a + 251, a = 2. What is the units digit of x?
8
Let o(u) = -12*u + 1. What is the units digit of o(-3)?
7
Let r(a) = -a + 2. Suppose -2... | {
"pile_set_name": "DM Mathematics"
} |
grams are there in six fifths of a gram?
1200
How many millilitres are there in 3/40 of a litre?
75
Convert 522289.6km to micrometers.
522289600000000
Convert 32588.9l to millilitres.
32588900
What is 31/5 of a century in years?
620
How many months are there in 31/2 of a century?
18600
How many meters are there in seve... | {
"pile_set_name": "DM Mathematics"
} |
- 75*i**2 + 9628*i)*(0*i + i + i) + 0*i**3 + 3*i**3 - 5*i**3 - 3*i**3 + i - i to p + g*i**3 + z*i**2 + d*i and give g.
-155
Rearrange 43 + 42 + 107*o + 134*o - 85 to the form y + n*o and give n.
241
Express -23 - 10 + 55 - 22 - 285*k**2 in the form g*k**2 + u*k + l and give g.
-285
Express 1 + 114*y**4 + 124*y**4 - 23... | {
"pile_set_name": "DM Mathematics"
} |
atest common divisor of r and g.
8
Let x(i) = -6*i - 21. Let q be x(-8). What is the highest common divisor of 3 and q?
3
Suppose 6*v - 473 = -41. What is the highest common divisor of 24 and v?
24
Let l(z) = 21*z + 2. Let w be l(2). Let g be 200/11 + (-8)/w. Calculate the highest common factor of g and 2.
2
Suppose 4*... | {
"pile_set_name": "DM Mathematics"
} |
ulate prob of sequence fmf when three letters picked without replacement from {f: 4, m: 3}.
6/35
Two letters picked without replacement from bbeebiqqiiibbqiip. Give prob of sequence be.
5/136
Three letters picked without replacement from hhfeclkk. Give prob of sequence hck.
1/84
Calculate prob of sequence tb when two l... | {
"pile_set_name": "DM Mathematics"
} |
1034181 to 4 dps.
0.1034
What is -0.0032738347 rounded to 5 dps?
-0.00327
Round 1016.222 to the nearest 100.
1000
What is 0.950636 rounded to 2 decimal places?
0.95
What is 4.413059 rounded to two dps?
4.41
What is -0.0005134944 rounded to four dps?
-0.0005
Round 3485273 to the nearest 100000.
3500000
Round 965318 to t... | {
"pile_set_name": "DM Mathematics"
} |
1601
What are the prime factors of 5722?
2, 2861
List the prime factors of 146625.
3, 5, 17, 23
What are the prime factors of 1607?
1607
List the prime factors of 10621.
13, 19, 43
List the prime factors of 1197.
3, 7, 19
List the prime factors of 83.
83
List the prime factors of 67527.
3, 41, 61
List the prime factors... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 28*y + 29.
-(y - 1)*(y + 29)
What is t in -t**3/3 + 16*t**2/3 + t/3 - 16/3 = 0?
-1, 1, 16
What is w in w**3/6 - 10*w**2/3 + 37*w/6 - 3 = 0?
1, 18
Factor -2*h**3/7 - 6292*h**2/7 - 4948658*h/7.
-2*h*(h + 1573)**2/7
Solve 3*h**3/4 - 21*h**2 + 357*h/4 - 69 = 0 for h.
1, 4, 23
What is p in -p**5 + 6*p**4 + 43*p**3 - 20... | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(441) - (-2*sqrt(441)*6 - sqrt(441))))*4)/(-5*sqrt(315)/sqrt(5)).
52*sqrt(7)/5
Simplify (sqrt(108)*1*4)**2*2 + -2*sqrt(3)*-4 + sqrt(3) + sqrt(192) + sqrt(192) + -2.
25*sqrt(3) + 3454
Simplify 6*sqrt(931)*-2 - ((sqrt(190) + sqrt(190) + -2*sqrt(190))/sqrt(10) + (sqrt(19)*1 + 0 - sqrt(19))).
-84*sqrt(19)
Simplify (-... | {
"pile_set_name": "DM Mathematics"
} |
vative of -3*m**4/8 - m**3/3 + 1108*m**2. Let j(a) = a. Calculate d(p) + 6*j(p).
-3*p - 2
Suppose 2*t = -2*v - 6 - 8, -4*t - v = 22. Let h(a) = -2*a**3 + 5. Let r(f) = 1 + 4*f**3 - 8*f**3 - 2 + 5*f**3. Calculate t*r(b) - h(b).
-3*b**3
Let b(y) = 1692005*y. Let u(k) = 13869*k. Give -2*b(w) + 245*u(w).
13895*w
Let r(q) =... | {
"pile_set_name": "DM Mathematics"
} |
t h?
111720*h**2
Let t(z) be the first derivative of -2168*z**3/3 - 9*z**2/2 - 149*z + 2008. What is the second derivative of t(o) wrt o?
-4336
Let s(l) be the first derivative of -204 - 17*l**3 - 209*l + 11*l**3 + 33*l**3 - 5. What is the derivative of s(f) wrt f?
162*f
Let c(f) be the third derivative of 17/6*f**5 + ... | {
"pile_set_name": "DM Mathematics"
} |
mmon divisor of u and 132?
6
Let y = -129 + 129. Let w be (1*(y - 1))/(10/(-110)). What is the highest common factor of w and 11?
11
Suppose s = 6*s - 440. Let p be (-6)/(-15) + 76/10. Calculate the highest common divisor of p and s.
8
Let b = 28 + 57. Let l(i) = 4*i**3 + 117*i - 232. Let v be l(2). What is the greates... | {
"pile_set_name": "DM Mathematics"
} |
-5514*j**5 - 3*j**3 + 1536*j - 2 wrt j.
-110280*j**3 - 18*j
What is the third derivative of -456*n*s**3*x + 21862*n*s**2*x + 281*s**3*x - 4*s**2 wrt s?
-2736*n*x + 1686*x
What is the third derivative of 150263*t**3 - t**2 - 46*t + 94?
901578
What is the third derivative of 4702*r**5 - 4*r**3 - r**2 + 16667*r wrt r?
282... | {
"pile_set_name": "DM Mathematics"
} |
4*h**2/5 + 3*h/2 - 27/5.
-(h - 9)*(h - 2)*(h + 3)/10
Determine f, given that 4*f**5 + 36*f**4 + 76*f**3 + 12*f**2 - 80*f - 48 = 0.
-6, -2, -1, 1
Factor 5*c**3 - 730*c**2 + 27360*c - 51840.
5*(c - 72)**2*(c - 2)
Factor -4*m**3 + 28*m**2 + 376*m - 832.
-4*(m - 13)*(m - 2)*(m + 8)
What is k in -k**3/4 + 13*k**2/2 + 52*k -... | {
"pile_set_name": "DM Mathematics"
} |
at is the n'th term of 1775, 1786, 1813, 1868, 1963, 2110, 2321, 2608?
2*n**3 - 4*n**2 + 9*n + 1768
What is the c'th term of -28231396, -56462792, -84694188, -112925584, -141156980, -169388376?
-28231396*c
What is the d'th term of -9688268, -9688267, -9688266?
d - 9688269
What is the h'th term of 943431, 943298, 943163... | {
"pile_set_name": "DM Mathematics"
} |
by 1638.
12
What is the remainder when 1224 is divided by 7?
6
Calculate the remainder when 398 is divided by 198.
2
Calculate the remainder when 3919 is divided by 98.
97
Calculate the remainder when 857 is divided by 51.
41
Calculate the remainder when 765 is divided by 194.
183
Calculate the remainder when 182 is di... | {
"pile_set_name": "DM Mathematics"
} |
1 + 5. Let m(i) be the third derivative of -i**4/24 - i**3/6 - 58*i**2. Let q(n) = d(n) + 4*m(n). Differentiate q(g) wrt g.
16
What is the second derivative of 4535*d**4 - 10 + 654*d + 2857*d + 1854*d**4 + 9 + 574*d**4 wrt d?
83556*d**2
Let n = -359 + 364. Find the third derivative of 5*f**5 - n*f**3 - 10*f**2 - 3 - 3*... | {
"pile_set_name": "DM Mathematics"
} |
of -257, -513, -765, -1013, -1257, -1497?
2*a**2 - 262*a + 3
What is the b'th term of -964, -954, -930, -886, -816, -714, -574?
b**3 + b**2 - 966
What is the m'th term of 279, 324, 379, 450, 543, 664, 819, 1014?
m**3 - m**2 + 41*m + 238
What is the w'th term of -419, -415, -397, -359, -295?
w**3 + w**2 - 6*w - 415
What... | {
"pile_set_name": "DM Mathematics"
} |
4. Let o be 0 + 4 + -2 + -5. Calculate o*l(i) + 7*b(i).
-2*i + 1
Let c(b) be the first derivative of -11*b**2 + 12*b + 1. Let h(n) = -27*n + 22. Let d(a) = -9*a + 7. Let f(o) = 7*d(o) - 2*h(o). Calculate 5*c(g) - 12*f(g).
-2*g
Suppose -2*j = 8, j = 5*r + 15 - 99. Let w be r/24 - (-8)/6. Let p(u) = -4 - 2 + w*u + 0*u +... | {
"pile_set_name": "DM Mathematics"
} |
.
645*a**2
Collect the terms in -13*b - 16*b - 17*b + 63*b - 14 - 16*b.
b - 14
Collect the terms in -22*l + 36*l - 6 + 0*l - 9*l.
5*l - 6
Collect the terms in 735*r**2 + 741*r**2 + 12 - 1472*r**2.
4*r**2 + 12
Collect the terms in 17 - 17 + 3518*u.
3518*u
Collect the terms in -94*u + 413*u - 116 - 2*u**2 + 116.
-2*u**2 ... | {
"pile_set_name": "DM Mathematics"
} |
= 23.34 + -21.6. Let x = -2.004 + 0.337. Let a = x + y. What is a rounded to 2 dps?
0.07
Let z be (-40050)/7*(-588)/9. What is z rounded to the nearest 10000?
370000
Suppose -2*a = -3*a + 2. Suppose n + a = 7. Let q(u) = 12*u**2 - 12*u. Let h be q(n). What is h rounded to the nearest 100?
200
Let w = -391561.99 - -4085... | {
"pile_set_name": "DM Mathematics"
} |
483.
-1/1483
5 divided by 3665
1/733
Calculate 1271 divided by -6.
-1271/6
Divide -756 by 2.
-378
What is 899 divided by -2?
-899/2
Divide -1021 by -3.
1021/3
Calculate -18 divided by -1.
18
-6 divided by 895
-6/895
Divide 74 by -32.
-37/16
Divide -32605 by -5.
6521
Divide 0 by -83.
0
Calculate -6 divided by 23.
-6/23
... | {
"pile_set_name": "DM Mathematics"
} |
17 - -302.8. Round d to 3 decimal places.
0.03
Let y be ((-20)/4 + 4)/((-1)/1). Let t be (-1*1335)/((15/50000)/y). What is t rounded to the nearest one hundred thousand?
-4500000
Let f = 3156 - 2967.9. Let r = -198 + f. What is r rounded to 0 decimal places?
-10
Let s = 93979028.999971 + -93979092. Let f = s + 63. Roun... | {
"pile_set_name": "DM Mathematics"
} |
and 26583?
3
Calculate the highest common divisor of 34370 and 17038.
14
What is the highest common factor of 648 and 1940409?
27
Calculate the highest common divisor of 289029 and 13689.
39
What is the highest common factor of 53050 and 2775?
25
Calculate the highest common divisor of 3738992 and 80.
16
Calculate the... | {
"pile_set_name": "DM Mathematics"
} |
e 9) to base 12.
17196
What is -246 (base 10) in base 4?
-3312
Convert -474 (base 12) to base 16.
-298
What is -24023 (base 5) in base 6?
-12055
Convert -1211212 (base 3) to base 16.
-542
-1112302 (base 4) to base 8
-12662
What is 1845 (base 11) in base 3?
10012222
-14964 (base 10) to base 8
-35164
Convert -100002 (bas... | {
"pile_set_name": "DM Mathematics"
} |
((-59)/10 - 11/110). Solve -20*l - 34 = -n for l.
4
Let a(s) = -s**2 + 26*s - 102. Let g be a(14). Let k = -61 + g. Solve k*r + 8 + 12 = 0 for r.
-4
Let k(o) = -6*o + 24. Let u be k(4). Let t(m) = -2*m**2 + 8*m + 3. Let d be t(4). Solve -b = -u - d for b.
3
Suppose 0 = 5*l - m - 24, -2*m - 9 + 1 = 0. Suppose 0 = l*z - ... | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(108)).
-27*sqrt(11)/8 + 3
Simplify ((sqrt(750)*1)/((sqrt(120) + 1*sqrt(120))/sqrt(12)))**2.
75/4
Simplify -5 + 0 + sqrt(1216) - ((sqrt(684) + sqrt(684)*1 + sqrt(19) - sqrt(19))**2 + 3).
-2744 + 8*sqrt(19)
Simplify 2*(-2 + -3*sqrt(180) - ((sqrt(80)*4 - sqrt(5) - sqrt(5)) + (-3*(sqrt(5) + -2*sqrt(5)))**2)).
-64*sqr... | {
"pile_set_name": "DM Mathematics"
} |
pose -62*h + 92*h - 33480 = 0. Is h a multiple of 36?
True
Suppose 5*p - 15 = 2*p, f - 5*p + 22 = 0. Suppose f*i - 111 = -2*b, 0*b - 5*b - 93 = -2*i. Does 13 divide i?
True
Suppose 4*c - u - 414 = u, 0 = 5*c + 4*u - 511. Let f(m) = -2*m**3 - 44*m**2 - 44*m - 39. Let s be f(-21). Suppose s*z = 104 + c. Is 27 a factor of... | {
"pile_set_name": "DM Mathematics"
} |
Collect the terms in 242 - 30*i**2 - 136 - 50 + 3*i + 3*i - 6*i - 53.
-30*i**2 + 3
Collect the terms in -78761*p**2 + 156901*p**2 - 78138*p**2.
2*p**2
Collect the terms in -3*w + 2 - 13*w**3 + 10*w - 3 + 4 - 2.
-13*w**3 + 7*w + 1
Collect the terms in -98*o**2 - 1589511708 + 1589511708.
-98*o**2
Collect the terms in -25... | {
"pile_set_name": "DM Mathematics"
} |
3889 or -2/11?
-2/11
Is 273/19 less than 13?
False
Are 116.64 and -2 unequal?
True
Which is smaller: -347 or -354?
-354
Which is smaller: 3047 or 3046?
3046
Which is greater: -123 or -5?
-5
Which is smaller: 9 or 3329?
9
Which is smaller: -10 or -14?
-14
Which is smaller: 1/3 or 2/181?
2/181
Is 4/829 at least 1?
False
... | {
"pile_set_name": "DM Mathematics"
} |
5345/1089 - -7/363. Let d = -23393/6 + 3908. What is the common denominator of a and d?
18
Find the common denominator of 62/21 and (14/21)/(3*22/(-147)).
231
Suppose -7 - 47 = -2*d. Suppose 3*l = 6*l - d. What is the lowest common multiple of l and 11?
99
Let f(u) = -11*u - 1. What is the lowest common multiple of f(-... | {
"pile_set_name": "DM Mathematics"
} |
et w = 19.8 - 20.8. What is the closest to w in -5, 2/13, h?
h
Suppose -3*d - 6 = -4*o + 8*o, 4*o = d + 2. Let k be (d/21)/(-9 + 60/7). What is the closest to 0.1 in -5/11, 1, k?
k
Let x = -42965 + 300757/7. Suppose -3 = -5*t + 7. Suppose 3*b = t*b - 1. What is the nearest to b in -1, 0.5, x?
-1
Let n = -1743/5 + 350. ... | {
"pile_set_name": "DM Mathematics"
} |
14}. Give prob of picking 3 r.
1/204
Four letters picked without replacement from {u: 1, g: 1, d: 2, z: 2, b: 2, q: 1}. Give prob of picking 1 b, 1 u, and 2 z.
1/63
Two letters picked without replacement from sssrssrrrssssk. What is prob of picking 1 r and 1 k?
4/91
Calculate prob of picking 1 a, 1 g, and 1 i when thre... | {
"pile_set_name": "DM Mathematics"
} |
ed?
168800
Round -206.413205 to 1 dp.
-206.4
Round 0.000453491231 to six dps.
0.000453
What is -403.23827 rounded to the nearest ten?
-400
What is -533.85075 rounded to the nearest ten?
-530
What is 0.0160742434 rounded to 6 decimal places?
0.016074
Round -0.075837317 to 2 dps.
-0.08
What is -6343200 rounded to the nea... | {
"pile_set_name": "DM Mathematics"
} |
54 a multiple of 8?
False
Is 120 a multiple of 29?
False
Is 3237 a multiple of 14?
False
Does 10 divide 24830?
True
Is 278 a multiple of 56?
False
Is 22 a factor of 792?
True
Does 12 divide 60?
True
Does 22 divide 1166?
True
Does 93 divide 4304?
False
Is 264 a multiple of 12?
True
Is 3 a factor of 333?
True
Is 25 a fac... | {
"pile_set_name": "DM Mathematics"
} |
)/2632). Let k = v - 127. Is k a composite number?
False
Suppose -6*t - 823 = -5*s - 4*t, -2*s = -t - 330. Suppose 162*y - s*y = -19. Is y composite?
False
Suppose 15461575 = 280*j - 27814790 + 781045. Is j a prime number?
True
Suppose 3*x = -2*s + 9, 32*x = 31*x - 4*s + 3. Suppose 5*c = -3*h + 58551, 13*h - x*c - 3903... | {
"pile_set_name": "DM Mathematics"
} |
/2?
-27/2
Does 8620 = 8621?
False
Is 7 less than or equal to -0.26?
False
Is -233 smaller than -233?
False
Is 73 equal to 73?
True
Which is bigger: -77/10 or -7?
-7
Which is bigger: -0.426 or 0?
0
Is 147 bigger than 134?
True
Is 0 greater than -1/103?
True
Which is smaller: 6939 or 6942?
6939
Which is smaller: -45 or 0... | {
"pile_set_name": "DM Mathematics"
} |
1289 a multiple of 7?
False
Does 16 divide 37777?
False
Does 29 divide 4321?
True
Does 41 divide 6109?
True
Is 7052 a multiple of 41?
True
Does 4 divide 388?
True
Is 833 a multiple of 49?
True
Is 21191 a multiple of 26?
False
Is 4473 a multiple of 10?
False
Is 14972 a multiple of 94?
False
Is 397 a factor of 54933?
Fa... | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from zzzezeeezn. Give prob of sequence ezzz.
1/21
What is prob of sequence so when two letters picked without replacement from zssszsooooszsgz?
4/35
Three letters picked without replacement from ifrmh. What is prob of sequence fmh?
1/60
Three letters picked without replacement from dnenxgkg. What ... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of w.
2
Let b(j) = j**3 + 11*j**2 + 9*j - 3. Suppose 1 = -2*k - 1. Let f = -9 + k. List the prime factors of b(f).
7
Let x(a) = -20*a + 12. What are the prime factors of x(-4)?
2, 23
Suppose 4*h = a + 7, -4*a + 0*a - 5*h + 14 = 0. List the prime factors of a*5*(-85)/(-25).
17
Let i(t) = -4*t - 22. Lis... | {
"pile_set_name": "DM Mathematics"
} |
4. Let o be j(3). Let n = 20 - o. Let b(t) = -t**2 - n + 7. Let l(x) = x**2. What is l(b(z))?
z**4
Suppose -5*d - 18 + 3 = 0. Let u(x) = x**2 + x - 1. Let h(a) = 2*a**2 + 3*a - 3. Let v(f) = d*u(f) + h(f). Let q(m) = m. What is v(q(z))?
-z**2
Let f(s) = 0*s - s**2 + 0*s. Let u(k) be the first derivative of k**3/3 - 5*k... | {
"pile_set_name": "DM Mathematics"
} |
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