text stringlengths 270 8.19k | meta dict |
|---|---|
(w). What is the derivative of y(f) wrt f?
175
Let t(j) be the third derivative of j**7/210 + 43*j**5/60 + j**4/12 - 5*j**3/2 + 130*j**2. What is the second derivative of t(b) wrt b?
12*b**2 + 86
Let c = 4 + 0. Let g(k) = k**2 - 7*k + 4. Let i be g(0). What is the second derivative of -17*l**c + 2*l - 4*l + 17*l**i + 4... | {
"pile_set_name": "DM Mathematics"
} |
3 wrt l.
168*b**2*l*m**2 - 57620*m**3
Differentiate 2*k*p**2 + 3190867*k*p + 879111*p**2 with respect to k.
2*p**2 + 3190867*p
What is the second derivative of 25*w**3 - 755*w**2 - 132443*w wrt w?
150*w - 1510
What is the first derivative of -54235*g**2*u + 18*g**2 + 3*u + 1825 wrt u?
-54235*g**2 + 3
Differentiate 1060... | {
"pile_set_name": "DM Mathematics"
} |
the nearest to -2/7 in 0, y, q?
q
Let b(f) = -f**2 - 6*f - 6. Let r be b(-4). Suppose r = a + 6. Let t = -686/3 + 228. What is the closest to 0 in t, a, -4/3?
t
Let g be (-10)/40 + (-147)/(-12). Let m = g - 82/7. What is the nearest to -90 in 1/3, -5, m, -4?
-5
Let m = 1 - 0.8. Let l = -527700 - -2110799/4. Which is th... | {
"pile_set_name": "DM Mathematics"
} |
xpand 0 + 0 + 2*y + (5 - 6 - 5)*(y + y + 2*y).
-22*y
Expand (2 - 1 + 1)*(f**2 - 1 + 1) - 4*f**2 + 0*f**2 - 4*f**2.
-6*f**2
Expand 2 + 2*o**4 - 2 - o**4 + o**4 + 2*o**4 + (-o**2 + o**2 - 2*o**2)*(-1 + 1 - 2*o**2) + (3*o - 6*o + 4*o)*(-o**3 + 0*o**2 + 0*o**2).
7*o**4
Expand (c**2 - 2*c**2 + 2*c**2)*(-3 + 3 + 4*c).
4*c**3... | {
"pile_set_name": "DM Mathematics"
} |
t is -115 - -53202?
53054
In base 8, what is 77636 - -4?
77642
In base 2, what is 0 + 100001100101101110?
100001100101101110
In base 4, what is 313323002 - 11?
313322331
In base 15, what is 2964b - 1?
2964a
In base 8, what is -274 + 1324?
1030
In base 10, what is -5 - -676653?
676648
In base 12, what is -49074 - 4?
-49... | {
"pile_set_name": "DM Mathematics"
} |
+ s**4 + (-2*s + 2*s + s**3)*(-3*s**2 + 3*s**2 + s**2) + (s**3 - 3*s**3 + 0*s**3)*(-46*s**2 - 47*s**2 - 42*s**2).
273*s**5
Expand (-1 + 1 + 2*w**2 + (0 + 1 - 3)*(w**2 - 1 + 1) + 3 - w**2 - 3)*((-w + 0*w + 2*w)*(-2 - 2*w + 2) + 4*w**2 - 4*w**2 - w**2).
3*w**4
Expand (25*y - 3*y + 5*y)*(0*y + 0*y - y)*(2*y + 0*y - 4*y).
... | {
"pile_set_name": "DM Mathematics"
} |
2 in decreasing order.
12, 5, 2
Sort 0.1, 1, 0, -0.08, -2 in decreasing order.
1, 0.1, 0, -0.08, -2
Sort 1/2, -101, 0.01, -4, -5 in decreasing order.
1/2, 0.01, -4, -5, -101
Sort -2, 3, -5, 1007 in ascending order.
-5, -2, 3, 1007
Sort -275, 5, -3, -5, 3.
-275, -5, -3, 3, 5
Put -1/5, -3/4, 0.5 in decreasing order.
0.5,... | {
"pile_set_name": "DM Mathematics"
} |
= j**2. Let o(y) = -3*y + 0*y**2 + 3*y + 22*y**2. Calculate o(m(g)).
22*g**4
Let g(x) = -29*x**2. Let f(d) = 12*d. Determine f(g(m)).
-348*m**2
Let h(z) = -4*z**2. Let x(q) = 3*q - 1062 + 1062. Determine x(h(f)).
-12*f**2
Let g(s) be the second derivative of s**3/6 - 2*s. Let w be (3/6)/((-1)/(-8)). Let d(m) = w*m**2 +... | {
"pile_set_name": "DM Mathematics"
} |
-5*t(u) + 3*x(u). What is the tens digit of i(-24)?
4
Suppose c - 8 + 8 = 0. Let j = -28 - -55. Suppose 0 = 2*o - 4*g - 34, j = o + 3*g - c*g. What is the tens digit of o?
2
Let b be 2 + 0 + -7 + 4. Let s = 4 + b. Suppose 0 = -s*x + 3*h + 23 + 40, x = -h + 25. What is the units digit of x?
3
Suppose d - 6937 = -4*b + ... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*a + 1 + 4. Let j be k(4). Let g be (0 - (-2)/1)*2. Sort -1, g, j.
j, -1, g
Let h = 9 + -7. Let c = h - 1.9. Sort -0.4, c, 1 in increasing order.
-0.4, c, 1
Let o = 0.4 - 1.4. Let y = -0.2 - -0.6. Sort y, o, -0.4 in increasing order.
o, -0.4, y
Let k(m) = -m + 7. Let h be k(7). Suppose z = -h*z - 2. Let n be 0 - ((... | {
"pile_set_name": "DM Mathematics"
} |
26?
-1526
Which is smaller: -1 or 1/515604?
-1
Which is greater: -69068 or -69076?
-69068
Which is bigger: 2777 or 10?
2777
Are -1021 and -1021 equal?
True
Which is smaller: -1 or 10/568323?
-1
Is -705 < -722?
False
Which is greater: -18944 or -18943?
-18943
Which is smaller: 0 or 32218/7?
0
Do 84 and 5196/61 have the ... | {
"pile_set_name": "DM Mathematics"
} |
timeter?
2000
Convert 721.029 hours to days.
30.042875
What is 8/3 of a year in months?
32
What is fifty-nine quarters of a litre in millilitres?
14750
What is 1/4 of a litre in millilitres?
250
How many years are there in 26/5 of a decade?
52
What is five quarters of a minute in milliseconds?
75000
How many months are... | {
"pile_set_name": "DM Mathematics"
} |
the closest to 1 in -33/8, -11, -2, -4/3, -3?
-4/3
What is the closest to 2/5 in -4, 5/17, 52/9?
5/17
Which is the nearest to 2/3? (a) -1/6 (b) -0.14 (c) 299
b
What is the nearest to -0.1 in 3/17, 4, -3/74, 0.3, 5?
-3/74
What is the nearest to 0 in -2, -0.5, -3, -201, 1/6?
1/6
What is the closest to -2/8749 in -2/9... | {
"pile_set_name": "DM Mathematics"
} |
3 - 2*t - t. What is n(5)?
-6
Let v(q) = -q**2 + q. Let x(n) = -4*n**2 + 11*n + 3. Let p(l) = -5*v(l) + x(l). Suppose o - b + 8 = 0, -3*o - 13 = 5*b - 5. Give p(o).
3
Let b be 6/(-5 + (-2)/(2/(-3))). Let j(m) = -m**2 - 4*m + 2. Determine j(b).
5
Let p(x) be the second derivative of -2*x**2 + x - 1/6*x**4 + 0 - 1/3*x**3... | {
"pile_set_name": "DM Mathematics"
} |
t is eleven eighths of a kilometer in meters?
1375
How many nanograms are there in 5/4 of a microgram?
1250
What is 35927.12 litres in millilitres?
35927120
Convert 155405.5 millennia to centuries.
1554055
How many months are there in 3.754926 years?
45.059112
What is 6/5 of a meter in millimeters?
1200
Convert 143.987... | {
"pile_set_name": "DM Mathematics"
} |
- 4*h for r.
-3
Suppose -322 = -5*w - 297. Solve -2*l - 4 = -2*j, 4*l = w*j - 5 - 6 for j.
3
Suppose -t = -j + 6*j - 17, 0 = 3*t - 2*j. Let y be 9 + -1 - (1 + -3). Solve 4*c + 3*u - y = 5*c, 5*u + t = -3*c for c.
-4
Suppose 0*u - u - 16 = -3*f, -u + 12 = 4*f. Suppose 5*c - 3*c - f*b - 8 = 0, -3*b = -5*c + 13. Solve 14... | {
"pile_set_name": "DM Mathematics"
} |
(-5 + sqrt(320) + 0 + sqrt(320) - (sqrt(320) + 0 + 3)) + 2)**2 + 0.
672*sqrt(5) + 15716
Simplify -2*(-6*sqrt(13)*-2 + 3 + sqrt(13) + (sqrt(156)/sqrt(108))**2 + (-2*sqrt(832))**2)*4.
-239936/9 - 104*sqrt(13)
Simplify (3*sqrt(200)*1*4)**2 + 4 + (sqrt(200) - (-5 + sqrt(200)*3) - sqrt(200) - (sqrt(200) - (sqrt(200) - ((3 ... | {
"pile_set_name": "DM Mathematics"
} |
*q**3/3 - 8*q**2 - 5*q - 1. Find v, given that j(v) = 0.
-6, 20
Let p = -5467 + 16403/3. Let u(t) be the first derivative of 0*t**4 - p*t**6 + 8/5*t**5 + 2*t**2 - 8/3*t**3 + 0*t - 2. Let u(a) = 0. What is a?
-1, 0, 1
Find t, given that -22*t**2 + 44*t**2 + 19*t**2 - 25*t**2 - 5250987 - 19*t**2 - 7938*t = 0.
-1323
Let p... | {
"pile_set_name": "DM Mathematics"
} |
2
Let f = -361 + 360. Which is the nearest to 2/9? (a) -4 (b) -1/4 (c) 2/9 (d) f
c
Let z = 3.5 - 3.51. Let r = 0.51 + z. Which is the nearest to -1? (a) -6 (b) -1/2 (c) r
b
Suppose 5*f - 22 = -3*m, -7 = 2*m - 5*m - 2*f. Which is the nearest to 0.02? (a) m (b) 2/9 (c) 7 (d) -0.3
b
Let j = 777/22 + -765/22. Su... | {
"pile_set_name": "DM Mathematics"
} |
in meters?
890.2918
What is eleven halves of a week in hours?
924
What is 6/5 of a century in years?
120
What is 793505.8 nanograms in tonnes?
0.0000000007935058
How many milliseconds are there in 9797.29s?
9797290
How many months are there in 6/5 of a millennium?
14400
What is five eighths of a decade in months?
75
Ho... | {
"pile_set_name": "DM Mathematics"
} |
09119
218.5 - 511070
-510851.5
Calculate 16.491 - -587116.
587132.491
Calculate 2907 - 177586.
-174679
Add -33311 and -613494.
-646805
Total of 50 and 6914530.
6914580
Total of -566739347 and 0.5.
-566739346.5
What is 8941 take away -100.7?
9041.7
Work out 735 - 8.46328.
726.53672
Work out 7708 - -2729.9.
10437.9
-260.... | {
"pile_set_name": "DM Mathematics"
} |
2)*-2*-3)/(sqrt(144) + sqrt(324)) + -2.
-2 + 14*sqrt(2)/5
Simplify -2 + (-3 + sqrt(245))**2 + -2 + (1*(2 + 4 + sqrt(605)))**2.
90*sqrt(5) + 891
Simplify (-3*((sqrt(77) - ((sqrt(77) - (-2*1*sqrt(77) - sqrt(77))) + sqrt(77))) + -3*-1*sqrt(77))/(5*(sqrt(44) + sqrt(132)/sqrt(3) + sqrt(44)))*-3)**2.
63/100
Simplify (1*sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
derivative of -14*t**2 + 2*t + 7. Let j be g(-8). What is the third derivative of j*n - 2*n**6 - 226*n - 14*n**2 wrt n?
-240*n**3
Let c(g) = 7267*g**2 - 21*g + 4059. Let w(q) = -29068*q**2 + 77*q - 16239. Let n(b) = -11*c(b) - 3*w(b). What is the derivative of n(k) wrt k?
14534*k
Let l be (6 - 60/6) + 19. Find the seco... | {
"pile_set_name": "DM Mathematics"
} |
AM
What is 159 minutes after 2:55 AM?
5:34 AM
How many minutes are there between 11:40 PM and 6:28 AM?
408
How many minutes are there between 12:09 PM and 3:31 PM?
202
How many minutes are there between 8:29 PM and 8:11 AM?
702
How many minutes are there between 10:57 PM and 3:50 AM?
293
What is 690 minutes after 5:42... | {
"pile_set_name": "DM Mathematics"
} |
to n + b*r and give b.
-21
Rearrange -i**2 + 47*i - 327 - 48*i + 12*i**2 + 5*i**4 + 331 - 3*i**4 to b*i**4 + c + s*i**3 + a*i + t*i**2 and give c.
4
Express (-21 - 20 - 6)*(-6*x**3 - 53*x + 53*x)*(0 + 0 + x) as r*x**4 + p*x**2 + i*x + d*x**3 + y and give r.
282
Express 4*w - 4*w**3 - 1 - 20*w**2 + 8174*w**4 - 8175*w**... | {
"pile_set_name": "DM Mathematics"
} |
ulate the remainder when 14803 is divided by 124.
47
Calculate the remainder when 10220 is divided by 5074.
72
Calculate the remainder when 43083 is divided by 167.
164
What is the remainder when 18872 is divided by 786?
8
What is the remainder when 11941 is divided by 1483?
77
What is the remainder when 90164 is divid... | {
"pile_set_name": "DM Mathematics"
} |
5839. Let l = i - 0.4. Round l to four dps.
0
Let d = -9848 + 9848.0010413. Round d to four dps.
0.001
Let a = -9981 - -9981.0000013074. Round a to 7 dps.
0.0000013
Let i(p) = 35270*p**3 + 3*p**2 + 6*p + 3. Let v be i(-1). Round v to the nearest 1000.
-35000
Let a = 1297.90005741 + -1297.9. Round a to six dps.
0.000057... | {
"pile_set_name": "DM Mathematics"
} |
mainder when s(-10) is divided by z(-23).
20
Let a(p) be the third derivative of 0 + 0*p + 2/15*p**5 - 2/3*p**3 + 12*p**2 + 1/8*p**4. What is the remainder when a(3) is divided by 22?
11
Let v be (8 + -10)/((-4)/1898). Suppose k + v = 5*d, 2*k - 5*k = -3. Suppose -d = -2*a - 3*a. What is the remainder when 73 is divide... | {
"pile_set_name": "DM Mathematics"
} |
Let r(i) = -7*i + 29. Determine -6*l(f) + r(f).
-f + 23
Let o(v) = v - 1. Let s(l) = -l**3 - 10*l**2 - 4*l - 41. Let k be s(-10). Let c(z) = 5*z - 3. What is k*c(d) + 3*o(d)?
-2*d
Let l(d) be the third derivative of -5*d**4/24 + d**3/2 - 2*d**2. Suppose -3951*v + 3941*v = -30. Let m(t) = 0 - 2 + 8*t - 4*t. Calculate v... | {
"pile_set_name": "DM Mathematics"
} |
hh.
18/95
Calculate prob of sequence dh when two letters picked without replacement from {h: 3, d: 5}.
15/56
Three letters picked without replacement from {i: 4, a: 6, o: 4, e: 1, v: 1, j: 2}. Give prob of sequence eoo.
1/408
Three letters picked without replacement from vfffqfflqnfn. What is prob of sequence fln?
1/1... | {
"pile_set_name": "DM Mathematics"
} |
th term of 11754, 11698, 11644, 11592?
j**2 - 59*j + 11812
What is the k'th term of -35513, -35428, -35343, -35258, -35173?
85*k - 35598
What is the d'th term of 8718, 18002, 27836, 38220?
275*d**2 + 8459*d - 16
What is the x'th term of -1863184758, -1863184759, -1863184760?
-x - 1863184757
What is the p'th term of 105... | {
"pile_set_name": "DM Mathematics"
} |
t g(p) = 1746*p + 12219. What is g(-7)?
-3
Let l(p) = 133*p**2 + 4922*p + 32. Determine l(-37).
-5
Let t(u) = -u**3 + 3*u**2 - 61*u - 65. Determine t(-1).
0
Let u(g) = g**3 + 8*g**2 - 13*g - 82. What is u(-6)?
68
Let f(a) = -110*a - 867. Calculate f(-8).
13
Let w(c) = -2*c**3 - 6*c**2 + 6*c + 12. Give w(-3).
-6
Let u(b... | {
"pile_set_name": "DM Mathematics"
} |
*(-9)/2. Suppose c*s + 0*s - 12 = 0. What is the third derivative of 68*r**4 - 52*r**4 - 8*r**s + 3*r**2 wrt r?
384*r
Find the third derivative of -5*m**4 + 908*m + m**3 + 122*m**5 + 0*m**3 - 9614*m**2 + 1549*m**2 - 908*m wrt m.
7320*m**2 - 120*m + 6
Let q(u) = -9*u**3 - 231*u - 45*u**2 - 3*u**3 - 45*u**3 + 233*u. Let ... | {
"pile_set_name": "DM Mathematics"
} |
+ sqrt(539) + sqrt(539) + 3)**2.
-84*sqrt(11) + 2165
Simplify (1*sqrt(1573) + -2)**2 + -5.
-44*sqrt(13) + 1572
Simplify (sqrt(72) + sqrt(72)*-1 + sqrt(2) + 0)**2.
2
Simplify (sqrt(5) - (sqrt(20) + (sqrt(20) - sqrt(20)*2))**2) + 5.
sqrt(5) + 5
Simplify -3*(sqrt(180))**2 + -4.
-544
Simplify (sqrt(54)/sqrt(2)*-5 + 0)**2.... | {
"pile_set_name": "DM Mathematics"
} |
tive of -b**6/90 + b**3/3 - 2*b**2. Let i(j) be the first derivative of t(j). Determine i(m(q)).
-16*q**4
Let b(g) = 3*g**2. Let t(v) = 504*v**2. Let z(h) = 21*h**2. Let r(d) = 2*t(d) - 49*z(d). What is r(b(s))?
-189*s**4
Let l(d) = d. Let z(x) = -10*x. Let h(p) = 6*l(p) + z(p). Let s(r) = 2. Let u(c) = c + 3. Let b(m)... | {
"pile_set_name": "DM Mathematics"
} |
) be the third derivative of a(j). What is y(q(t))?
220*t**4
Let h(y) be the second derivative of -5*y**3/6 - 4*y. Let u(g) be the third derivative of 5*g**4/24 - 2*g**2 - 519*g - 4. Calculate h(u(v)).
-25*v
Let l(n) = -n. Let m(p) be the first derivative of 937*p**2 - 200. Determine m(l(v)).
-1874*v
Let g(n) = 7*n + 5... | {
"pile_set_name": "DM Mathematics"
} |
lify (((q**(1/3)*q**(-1/6))/(((q*q**(-3/7)/q)/q)/(q**(2/9)/q)))**45)**25 assuming q is positive.
q**(12875/14)
Simplify ((f**(-5))**(2/95)/(((f/(f/(f**9/f))*f*f)/f)/f*f/(f/(f*(f*f**2)/f*f))))**9 assuming f is positive.
f**(-2070/19)
Simplify (k**(-3/7)*k**43)/(k**(-11/3)/k**(1/47)) assuming k is positive.
k**(45658/987... | {
"pile_set_name": "DM Mathematics"
} |
are the prime factors of u?
2, 5
Let l(v) = v - 1. Let y(s) = -2*s**2 + 4*s - 7. Let j(c) = 6*l(c) - y(c). Let r be j(-2). Suppose -4*a = -7 - r. List the prime factors of a.
3
What are the prime factors of 2*(188/8 + 3)?
53
Let d(p) = -3*p**2 - 13*p + 6. Let c(b) = b**2 + 6*b - 3. Let v(g) = -7*c(g) - 3*d(g). Let i(z)... | {
"pile_set_name": "DM Mathematics"
} |
2 - 1/24*u**6 + 0*u + 0 + 0*u**3 + 1/30*u**5 + 0*u**4. Factor h(g).
-g**2*(5*g - 2)
Let f(q) be the first derivative of -4*q**3/3 - 116*q**2 + 236*q - 5. Factor f(a).
-4*(a - 1)*(a + 59)
Let m(d) be the first derivative of -d**5/4 + 5*d**3/6 + 20*d + 21. Let p(o) be the first derivative of m(o). Factor p(v).
-5*v*(v - ... | {
"pile_set_name": "DM Mathematics"
} |
.
35
What is the remainder when 294 is divided by 14?
0
What is the remainder when 151 is divided by 33?
19
What is the remainder when 306 is divided by 219?
87
What is the remainder when 2 is divided by 1?
0
Calculate the remainder when 465 is divided by 6.
3
What is the remainder when 1648 is divided by 241?
202
Calc... | {
"pile_set_name": "DM Mathematics"
} |
-5. Suppose 0 = -6*w - 0*w - 222. Let i = -30 - w. What is the least common multiple of i and b?
28
Let a = 2760 - 1883. Let k = 583 - a. Let m = k + 2335/8. Find the common denominator of m and -67/68.
136
Let r(j) = j**2 + 5*j + 1. Let t be r(-2). Let d = t + 10. Calculate the lowest common multiple of 30/4 + (-1 - -... | {
"pile_set_name": "DM Mathematics"
} |
+ 237000 = -r*v. What is v rounded to the nearest ten thousand?
80000
Let n = -1 + 22. Let t = 92 - 77.6. Let k = t - n. Round k to 0 decimal places.
-7
Let v = -0.1 - -0.7. Let z = v - -2.9. Let c = 4 - z. Round c to 1 dp.
0.5
Let v = -347 - -341.41. Let q = -3.56 - v. What is q rounded to one dp?
2
Let g(r) = r**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 0*y - 53. Determine z so that j(z) = 0.
-2/7, 0, 1/3
Suppose -8/3 - 49/6*a**3 + 67/6*a**2 + 7*a - 17/2*a**4 + 7/6*a**5 = 0. Calculate a.
-1, 2/7, 1, 8
Determine m, given that 9 + 1/4*m**2 + 5*m = 0.
-18, -2
Let m(i) be the second derivative of -i**8/80 + 3*i**7/70 - i**6/40 - i**5/20 - 2*i**3/3 + i**2 + 37*i. Let... | {
"pile_set_name": "DM Mathematics"
} |
ond smallest value in 0, -16, -3?
-3
What is the fourth biggest value in 12, -2/3, 4/7, 1, 2/3?
4/7
What is the smallest value in 0.5, -0.08, 1/4, -6?
-6
What is the fourth biggest value in 6, 0.3, 1/5, -5?
-5
What is the fourth biggest value in 15, 1/6, -1/29, -0.3, -2/9?
-2/9
Which is the third smallest value? (a) -... | {
"pile_set_name": "DM Mathematics"
} |
(((-44)/(-13))/(-2))/(-2). What is the closest to -0.1 in -0.5, -0.1, o?
-0.1
Let s = -25 + 35. Which is the nearest to -1? (a) s (b) -2/9 (c) 2/5
b
Let c be (-3)/2 - -3 - (-2)/4. Let h = 2 - 1. What is the nearest to 0 in c, -0.5, h?
-0.5
Let t = -8 + 8.3. Let g be 1 + -1 + (-3)/(-5). Let h = 7 + -3. Which is the c... | {
"pile_set_name": "DM Mathematics"
} |
e common denominator of -42/41977 and 37/1858?
77993266
What is the lowest common multiple of 231738150 and 10404570?
2549119650
What is the least common multiple of 54372 and 53568?
242716608
What is the smallest common multiple of 7918428 and 70?
39592140
What is the least common multiple of 25217715 and 15130629?
75... | {
"pile_set_name": "DM Mathematics"
} |
er?
875
What is 7/2 of a millennium in decades?
350
What is 55.2821 meters in millimeters?
55282.1
How many kilograms are there in one quarter of a tonne?
250
What is seven quarters of a week in minutes?
17640
What is three sixteenths of a kilometer in centimeters?
18750
How many minutes are there in two ninths of a we... | {
"pile_set_name": "DM Mathematics"
} |
- ((-5 - -14) + -5) - -20.
16
What is the value of -8 + (-1 - 14) + 53 - 8?
22
-16 - (7 + 0 + -8 - 4)
-11
What is the value of (47 - 44) + (-6 - 0)?
-3
Evaluate 11 - 15 - (7 - 2) - 5.
-14
Evaluate 2 - (-2 - 24) - (-103 - -98) - 9.
24
Evaluate 11 + (1 - 2) + -4 - -4.
10
Evaluate 1 + 15 + -1 + -32.
-17
What is 0 - -3 - (... | {
"pile_set_name": "DM Mathematics"
} |
- 15. Let a be (39/15 - 2)*5. Solve g*s - 4 = -4*j + 13, 3*s = -a*j + 12 for j.
3
Let j(h) = -h**3 - 4*h**2 + 4*h. Let f be j(-5). Solve f*r + 3*v = v + 33, -1 = -r + v for r.
5
Suppose 0 = 4*a - 3*b - 5, 3*a - 3*b + 5 = b. Suppose -a*l + 3 = -12. Solve -o + 0*o = l*s, 3*o = 0 for s.
0
Suppose -8 - 2 = -2*m. Suppose 4... | {
"pile_set_name": "DM Mathematics"
} |
6. Give m(7).
41
Let k(l) = l**3 - 6*l**2 + 8*l - 2. What is k(3)?
-5
Let z(o) = o**3 - 2*o**2 - o - 18. Calculate z(4).
10
Let w(q) = -q. Give w(-5).
5
Let t(f) = -f**3 + 19*f**2 + 87*f - 22. Calculate t(-4).
-2
Let r(z) = z**2 - 10*z + 15. Calculate r(4).
-9
Let q(j) = 12*j - 88. Give q(8).
8
Let v(d) = 6*d**2 - 2*d... | {
"pile_set_name": "DM Mathematics"
} |
*t + 4, -a = 5*t - 6 for t.
2
Solve 0 = -2*v + 3*w + 3, -2*w = 3*v - 5 - 6 for v.
3
Solve -5*i - 11 = -k - 5, -4*k - 1 = 5*i for k.
1
Solve -14*p = -2*v - 13*p + 4, 3*v - 9 = 3*p for v.
1
Solve 26*o - 23 = 5*k + 28*o, 4*k + 5*o = -15 for k.
-5
Solve 5*a - 15 = -4*y + 3*y, 3*a - 11 = -y for a.
2
Solve 0 = 4*z - 2*x - 16... | {
"pile_set_name": "DM Mathematics"
} |
n?
n
Suppose p - 3 + 5 = 0. Which is smaller: p or -5?
-5
Suppose 3*b + 2*q - 8 = 0, 3*b + 5*q - 17 - 3 = 0. Is -1/21 at most b?
True
Let y = 74/21 - 6/7. Which is greater: y or -1?
y
Let r = -36 + 25. Let o = -9 + 9. Is r > o?
False
Let a = -1/107 + -211/321. Is a at least -7?
True
Suppose 38 - 88 = -5*k + 3*d, -3*d ... | {
"pile_set_name": "DM Mathematics"
} |
- 11. Let s(x) = 7*x**2 - 4*x - 10. What is j*t(l) + 3*s(l)?
-3*l**2 + 14
Let v(i) = -507*i**2 - 4*i + 2. Let x(b) = -504*b**2 - 5*b + 3. Calculate 5*v(y) - 4*x(y).
-519*y**2 - 2
Let q = -310 - -309. Let u(s) = 0 - 3 + s + 4. Let h(a) = a**2 - a + 1. Let r(v) = -8*v**2 + 16*v - 2. Let c(p) = 10*h(p) + r(p). What is q*c... | {
"pile_set_name": "DM Mathematics"
} |
33*c + 19. Let r(s) = 14*s**3 + 6*s**2 - 19*s + 10. Determine -4*k(a) + 7*r(a).
-18*a**3 - 2*a**2 - a - 6
Let u(c) = -2*c + 6. Suppose -3*h + 18 = 24*l - 28*l, -9 = 3*h + 5*l. Let p(q) = -7 + 4*q - h - 2. What is -4*p(j) - 7*u(j)?
-2*j + 2
Let l(x) = 5*x**3 + 6*x + 2 - 4*x + 0. Let r = -16924 + 16923. Let d(j) = j**3 ... | {
"pile_set_name": "DM Mathematics"
} |
eplacement from {m: 1, t: 2, r: 3, y: 1, k: 1, d: 4}. Give prob of sequence ymk.
1/1320
What is prob of sequence qe when two letters picked without replacement from {g: 3, e: 1, t: 2, q: 4}?
2/45
Four letters picked without replacement from {i: 6, c: 3, o: 1, e: 3, l: 1, p: 1}. Give prob of sequence pcic.
1/910
Two let... | {
"pile_set_name": "DM Mathematics"
} |
11*q**3 + 17*q**2 + 32. What is 6*d(s) + 17*u(s)?
2*s**3 + 5
Let n(p) = -2. Let o(b) = b + 9. Calculate -18*n(y) - 4*o(y).
-4*y
Let f(j) = j**2 + 1. Let l(z) = 30*z**2 + 9. Give 18*f(a) - 2*l(a).
-42*a**2
Let k(t) be the second derivative of t**5/20 - t**4/6 - t**2 - 2*t. Let a be (-4)/(-6) - 10/6. Let f(n) = 1 + n**2 ... | {
"pile_set_name": "DM Mathematics"
} |
t c(y) = 2*y**2 + 10*y - 10. Let q be c(1). Suppose q*h = -7*h - 27. Let t(w) = -3*w - 3. Give t(h).
6
Suppose 1292 = -159*o + 338. Let s(v) = v**3 + 7*v**2 + 6*v + 8. What is s(o)?
8
Let h(q) = -q**3 + 3*q**2 + 10*q - 9. Suppose 0 = -y - 4, 5*w - 7*y + 3*y = 46. Determine h(w).
-57
Let m(h) = -19*h - 20 - 164*h**2 + 2... | {
"pile_set_name": "DM Mathematics"
} |
0.
0, 1
Let y(d) be the third derivative of 0 + 0*d**5 + 0*d + 1/70*d**7 + 2*d**2 + 0*d**3 - 1/80*d**8 + 1/100*d**6 + 0*d**4. Factor y(j).
-3*j**3*(j - 1)*(7*j + 2)/5
Let p be (3/2)/((-24)/(-32)). Factor 0*h + h**3 + 2 - 1 - p - h + h**2.
(h - 1)*(h + 1)**2
Suppose -2*z + 614*z**4 + 4*z**3 - 2*z**5 - 614*z**4 = 0. Wha... | {
"pile_set_name": "DM Mathematics"
} |
he nearest to x in l, -0.2, -12?
-0.2
Let m = 0.3428 - -0.0572. Which is the nearest to 0.1? (a) -1/7 (b) 4 (c) -2/227 (d) m
c
Let q = -743/12 + 247/4. What is the closest to 1/4 in 3, -1/4, 5, q?
q
Let j = 1353 + -1352. Suppose 64 = 2*l + 2*l. Suppose -3*p = p - l. What is the closest to j in -0.3, p, 0.3?
0.3
Let... | {
"pile_set_name": "DM Mathematics"
} |
+ 185 - 81 = 0. Which is smaller: h or g?
g
Suppose -28*z + 26*z + 2*y - 6 = 0, -y = -3. Let s be 1/3 - 8/(-3). Is s less than z?
False
Suppose 0 = -45*m + 976 + 599. Is m equal to -1/7?
False
Suppose -3*v - v + 22 = 3*m, -m + 5*v = 18. Suppose -3*j + 13 = -2*d, 3*d + 9 = m*j - 8. Let w = -2/17 + 25/357. Is j greater t... | {
"pile_set_name": "DM Mathematics"
} |
d derivative of -6*f**3*j**3 + 9695*f**3*k**2 + 4*f**2 + 7*f*j**3*k + 10*j**3 - 4*j**2 + 4*j*k**2 wrt f.
-36*j**3 + 58170*k**2
Find the second derivative of -2*o*u**2*z**2 - 2*o*u**2*z - 516*o*u*z**2 - 2082*o - 5*u**2*z**2 wrt z.
-4*o*u**2 - 1032*o*u - 10*u**2
Differentiate -27878*j**4*y**2 - 19*y**2 + 26*y + 13 with r... | {
"pile_set_name": "DM Mathematics"
} |
d**3 - 2*d**3).
285*d**5 - 2*d**4
Expand (-41*d**5 + 23*d**5 - 42*d**5)*(89 - 15 + 92 + 64).
-13800*d**5
Expand (-1110466 + 1110466 + 1578*m)*(m + 0*m**2 + m - m**2).
-1578*m**3 + 3156*m**2
Expand (-5*n**2 + n**2 + 3*n**2)*(-170 - 111 - 9)*(2*n**2 + 49*n - 49*n - 2).
580*n**4 - 580*n**2
Expand ((-3*m**3 + 61*m - 61*m)*... | {
"pile_set_name": "DM Mathematics"
} |
32 and 498?
2
Calculate the highest common divisor of 64469 and 92.
23
Calculate the highest common factor of 90 and 272970.
90
What is the highest common divisor of 58 and 370939?
29
What is the highest common factor of 12940 and 265917?
647
Calculate the greatest common divisor of 128 and 527488.
128
What is the gre... | {
"pile_set_name": "DM Mathematics"
} |
2 + (-5 + 1 + 0)*(-4*d + d + 2*d) in the form y + m*d and give m.
14
Rearrange -3876 + t**4 - 5*t**4 + 18*t**3 - 2*t + 3873 - 2*t**2 to the form f*t**4 + w + c*t**2 + o*t + l*t**3 and give f.
-4
Rearrange 8*w**4 + 2*w**3 + 7*w**3 - 10*w**3 - 70*w**2 + 94*w**2 - 389*w**2 to the form c + l*w + k*w**2 + d*w**3 + x*w**4 an... | {
"pile_set_name": "DM Mathematics"
} |
Let k be f(23). Let w(g) be the third derivative of 0*g + 3*g**2 + 5/24*g**k - g**3 + 1/60*g**5 + 0. Determine w(-5).
-6
Let p(u) = -9*u**2 - 17*u + 1. Let g be p(-2). Let v(w) = -14*w + 1. Calculate v(g).
15
Let y(j) = -5*j**2 + 20*j - 20. Let w(q) = -2*q**2 + 7*q - 7. Let g(u) = 17*w(u) - 6*y(u). Let d(i) be the firs... | {
"pile_set_name": "DM Mathematics"
} |
6. Determine k*f(o) + 6*p(o).
-3*o**3
Let b(q) = 5*q - 6 + 1 + 2. Let v be 10/15*21/2. Let p(d) = -1. Let n(w) = -9*w + 1. Let z(m) = n(m) - 4*p(m). What is v*b(l) + 4*z(l)?
-l - 1
Let u(p) = 5*p - 11. Suppose -r + 5*a - 1 - 7 = 0, 8 = -r + 2*a. Let m(s) = 2*s - 4. Determine r*m(g) + 3*u(g).
-g - 1
Let y(p) = -2*p**3 +... | {
"pile_set_name": "DM Mathematics"
} |
-1/2, 3, -5, -1?
-1/2
Let z = -7 + 10. Suppose 4*p - 18 = j + z, -5*j = 25. Let b = 309.3 + -309. What is the nearest to 0 in p, b, 0.4?
b
Let g = 3.534 - 0.534. Let u be (-1 - 15/(-18))/(-1). What is the nearest to -2/7 in g, u, -2/7?
-2/7
Let y = 0.107 + -0.207. Which is the closest to -5? (a) 2 (b) y (c) -2/21
b... | {
"pile_set_name": "DM Mathematics"
} |
+ 215*m**3 - 611*m**3 + (-2*m + 4*m - 3*m)*(2*m**2 - 3*m**2 + 2*m**2) as f*m**2 + p*m**3 + j*m + r and give p.
-635
Rearrange -3*p + p**2 + 21*p**2 + 69*p**2 to x*p + t*p**2 + u and give t.
91
Express 2154*a**2 - 2152*a**2 + 4*a - 5*a - 4*a in the form k*a**2 + o*a + u and give o.
-5
Express -370*i + 210*i + 1345*i + 4... | {
"pile_set_name": "DM Mathematics"
} |
vative of 281*u**2*w**2 - u**2*w + u**2 + 11*w wrt w?
562*u**2
Differentiate 96*k**3 - k**2 + 36.
288*k**2 - 2*k
What is the second derivative of -d**5*o**3 + 275*d**4*o**3 - 19*d*o**3 + 3*d*o**2 + 2*d*o wrt d?
-20*d**3*o**3 + 3300*d**2*o**3
What is the second derivative of -c**4*z - 2*c**3 + 8*c**2*z + c*z - 123*z wrt... | {
"pile_set_name": "DM Mathematics"
} |
rder.
-15, j, 0.4, 1
Let c = 357 - 360. Sort -4, c, 1 in decreasing order.
1, c, -4
Suppose 3*f = -3*c + 6, -26*c + 23*c = -2*f + 19. Put -398, -5, c in decreasing order.
c, -5, -398
Suppose -4*u - 24 = -o, -4*o - 3*u = -0*o - 1. Suppose m - 63*a - 27 = -58*a, -3*m - 4*a = 14. Sort -3, o, m, 0.
-3, 0, m, o
Suppose -3*n... | {
"pile_set_name": "DM Mathematics"
} |
)**2 + -5 + 4 + sqrt(1573).
-5734 + 11*sqrt(13)
Simplify (1*(sqrt(72) - (sqrt(72) + 0)*-6 - sqrt(72)))**2 - 6*(1*sqrt(72) - sqrt(72))**2*2.
2592
Simplify -3 + (sqrt(117) - (-1 + sqrt(117) - sqrt(117)))*4 + sqrt(117) + -2 + (1*sqrt(117))**2 + ((sqrt(117)*-2)**2 - sqrt(117))*5.
2456
Simplify (-4 + ((1*sqrt(384) + sqrt(38... | {
"pile_set_name": "DM Mathematics"
} |
rrange (-q + 8*q - 2*q)*(-273 + 102 + 65)*(-2 + 4 + 4) to v + z*q and give z.
-3180
Rearrange 310750*y**2 - 3*y + 0*y - 321946*y**2 + 3*y to the form q + z*y**2 + m*y and give q.
0
Express 3*k**4 - 5*k**4 + k**2 + 0*k**2 - k + 32 - 2*k**3 - 34 in the form j*k + v + s*k**2 + z*k**3 + h*k**4 and give j.
-1
Express (-7 - ... | {
"pile_set_name": "DM Mathematics"
} |
v: 2, w: 5, r: 9}.
3/40
Calculate prob of sequence zj when two letters picked without replacement from {z: 3, u: 16, j: 1}.
3/380
Four letters picked without replacement from ususamausaamaasaa. Give prob of sequence umuu.
1/4760
What is prob of sequence gggg when four letters picked without replacement from {n: 3, p: 4... | {
"pile_set_name": "DM Mathematics"
} |
nd the third derivative of 1027*g**3*z**3 - g**3*z - 2*g*z**2 + 4 wrt z.
6162*g**3
What is the second derivative of -6*k**2*w**5 + 17*k**2*w + k**2 - 19*k*w**5 - 8*w wrt w?
-120*k**2*w**3 - 380*k*w**3
Find the second derivative of 6110*k*o**3 - k*o - 9*k - 3*o - 4 wrt o.
36660*k*o
What is the second derivative of -8*a*... | {
"pile_set_name": "DM Mathematics"
} |
and (f**2 + 2*f - 2*f)*(3 + 1 - 5)*(-3*f - f + 2*f + (-2*f + 0 + 0)*(4 + 1 - 4) - f + 4 - 4 + 0*f + 4*f - 7*f).
8*f**3
Expand (-3*f + f + 1 + 1)*(0 + 0 - 1)*(-2 + 0 + 6).
8*f - 8
Expand (2*x - 8*x + 0*x)*(0 - 1 + 0)*(-2*x + 2*x + 13*x) + (0 - x + 0)*(x + 0*x - 2*x).
79*x**2
Expand (-3*y**2 + 2*y**2 - y**2)*(y + 2 - 2) ... | {
"pile_set_name": "DM Mathematics"
} |
2*u for g.
-4
Solve 0 = -5*g - 20, 12*g + 36*g + 212 = 4*z for z.
5
Solve -p - 14 = -7*u, -35*p = -34*p + 2*u + 5 for p.
-7
Solve a = -2*k, -92 = 4*a + 4*k - 76 for a.
-8
Solve -5*c + 13 = -61*y + 57*y, 5*c + y - 3 = 0 for c.
1
Solve 5*l = -5*i + 349 - 384, -2*l + 5*i = 0 for l.
-5
Solve 3*k = 3*x + 48, 4*x + 79 - 11 =... | {
"pile_set_name": "DM Mathematics"
} |
7 + 23. Let q = l + 47. Let d = q - 2.9999721. What is d rounded to six decimal places?
0.000028
Let f = 81.209918 + -0.005918. Let u = f + -0.204. Let x = u - 81.00122. Round x to 4 decimal places.
-0.0012
Let s = -16636 + 16728.99. Let h = s - 92. Let q = h + -0.98999969. What is q rounded to seven dps?
0.0000003
Let... | {
"pile_set_name": "DM Mathematics"
} |
20111 + 1587 = 0 for g.
-19
Solve -615*q + 627*q + 84 = 0 for q.
-7
Solve -237*w - 2120 = -343*w for w.
20
Solve 1202 = 184*t + 2169 + 2345 for t.
-18
Solve 139*c - 120 = 113*c + 218 for c.
13
Solve -63*b = -110*b - 109*b + 468 for b.
3
Solve -196 = 739*t + 492 + 1529 for t.
-3
Solve 11*g + 182016 = 182280 for g.
24
S... | {
"pile_set_name": "DM Mathematics"
} |
= -13 + 14. Let p = b + 1. Suppose -p*o - 5*w = -58, o - 4*w + 0*w = 42. List the prime factors of o.
2, 17
Let c(b) = 3*b - 2. Let p be c(2). Let o(g) = 4*g**2 - g - 4. What are the prime factors of o(p)?
2, 7
Suppose 0 = z + z + 30. Let b = z + 15. Suppose b = -2*k + 7*k - 45. What are the prime factors of k?
3
Let ... | {
"pile_set_name": "DM Mathematics"
} |
e s(-94).
7
Let p(d) = 18337*d + 146668. Give p(-8).
-28
Let v(u) = -7*u**2 + 1627*u - 89653. Determine v(90).
77
Let o(u) = -u**3 + 398*u**2 - 9666*u - 152. Give o(26).
4
Let i(w) = 2*w**3 - 309*w**2 - 766*w - 2822. Determine i(157).
161
Let j(y) = -2*y**2 - 297*y - 7663. Give j(-28).
-915
Let r(m) = -m**3 + 2071*m**2... | {
"pile_set_name": "DM Mathematics"
} |
er.
v, 0, -0.2
Suppose 11*b - 2 = -2. Sort -4, b, 1, 8 in decreasing order.
8, 1, b, -4
Let i = 1329 + -1347. Sort 3, i, -1 in descending order.
3, -1, i
Let c = 7 + 11. Let t = 17 - c. Sort t, 0.5, -5 in decreasing order.
0.5, t, -5
Suppose 11*s - 12*s + 1 = 0. Suppose 22 = 3*f - 5*f + 4*x, -5 = -5*f - 5*x. Let b = 5 ... | {
"pile_set_name": "DM Mathematics"
} |
(9). Suppose -564 = -3*w - b*w. What is the tens digit of w?
9
Suppose 0 = -679*u + 683*u - 8372. Let c = u - 1087. What is the tens digit of c?
0
Let h(s) = -s**2 + 6*s + 4. Let g(l) = -l**2 + 2*l + 6. Let c be g(-2). Let i be h(c). What is the hundreds digit of 5*i*(-92)/40?
1
Let v(l) = -2*l**2 - 12*l + 27. Let k be... | {
"pile_set_name": "DM Mathematics"
} |
2*f(k) + 3*z(k). Let r(c) be the first derivative of -4*c**3/3 - 2. What is y(r(p))?
-240*p**4
Let b(t) = -t**2 + t**2 - 2*t**2. Let v(u) = -u + 8. Let q(z) = -6*z - 16. Let a(p) = q(p) + 2*v(p). Determine b(a(m)).
-128*m**2
Let c(t) be the first derivative of -12*t**2 - 3. Let r(a) = -a + 6*a - 8*a + 2*a. Determine r(... | {
"pile_set_name": "DM Mathematics"
} |
f a week in seconds?
57600
What is 1/5 of a micrometer in nanometers?
200
How many litres are there in 787.4943 millilitres?
0.7874943
What is 3/8 of a litre in millilitres?
375
How many litres are there in 5.184587ml?
0.005184587
What is 49295.42mg in tonnes?
0.00004929542
Convert 4.109097mm to centimeters.
0.4109097
... | {
"pile_set_name": "DM Mathematics"
} |
aipdabab. What is prob of picking 1 d and 1 a?
1/26
Two letters picked without replacement from llccl. Give prob of picking 2 c.
1/10
What is prob of picking 1 w and 1 s when two letters picked without replacement from skwop?
1/10
What is prob of picking 4 c when four letters picked without replacement from cccccc?
1
C... | {
"pile_set_name": "DM Mathematics"
} |
: 1}. Give prob of picking 2 b.
5/6
Four letters picked without replacement from {c: 1, n: 8, f: 4}. What is prob of picking 2 f and 2 n?
168/715
Two letters picked without replacement from lmqmmllmm. Give prob of picking 2 l.
1/12
What is prob of picking 2 v and 1 o when three letters picked without replacement from {... | {
"pile_set_name": "DM Mathematics"
} |
Let y(n) = 5*n - 4. Let w(i) = 4*r(i) + y(i). Suppose -3*k - 10 = -79. Let h(x) = 6*x**2 - 23 + k. Determine h(w(f)).
6*f**2
Let l(h) = 3*h**2. Let x(n) = -5*n**2. What is l(x(p))?
75*p**4
Let s(x) = 8*x. Let i(f) be the first derivative of -f**2/2 - 3. Determine i(s(q)).
-8*q
Let n(i) = -4*i**2. Let q(a) = 38*a**2. Ca... | {
"pile_set_name": "DM Mathematics"
} |
= -2*c, 153 = c + 5*l. Suppose 2*d + d = c. Is d a composite number?
True
Let m(n) = -25*n - 1. Let i be m(-3). Suppose -u - 2*o = -i, -3*u + 7*u - 296 = 5*o. Is u a composite number?
True
Let f(k) be the second derivative of 11*k**5/20 - k**3/2 + k**2/2 + 2*k. Let w be -1*3*2/(-3). Is f(w) composite?
False
Is 5*(-37)/... | {
"pile_set_name": "DM Mathematics"
} |
21
39/1421
-56 divided by 985
-56/985
-472368 divided by 472368
-1
Calculate 2369885 divided by -17.
-139405
-164 divided by 514
-82/257
19890 divided by 234
85
271 divided by 1656
271/1656
0 divided by -2093
0
Divide -12 by -3074.
6/1537
Divide -85 by 309.
-85/309
Calculate 5697 divided by 211.
27
Divide 40923 by 6.
1... | {
"pile_set_name": "DM Mathematics"
} |
= -855, 4*u - u = -2*c + y. List the prime factors of c.
2, 5, 11
Let u be (-4)/6 - 44/(-12). Let q(a) = -3*a**2 + 3*a - 1. Let b be q(u). Let l(p) = -p**2 - 20*p + 21. What are the prime factors of l(b)?
2, 5
Suppose -4*o + m + 0*m + 3 = 0, o + 2*m = 12. Suppose -o*x - 4 = -2*u, -x + 16 = 4*u + 3*x. Suppose -37 = -u*... | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from {o: 1, i: 1, j: 1, b: 2, t: 2}. What is prob of picking 1 o, 1 i, and 1 t?
2/35
What is prob of picking 1 w and 2 g when three letters picked without replacement from pwygggggp?
5/42
Calculate prob of picking 1 t and 2 q when three letters picked without replacement from {t: 5, q: 7}.
21/4... | {
"pile_set_name": "DM Mathematics"
} |
91
Two letters picked without replacement from {p: 6, m: 1, o: 2, k: 4}. What is prob of sequence pk?
2/13
What is prob of sequence yjjj when four letters picked without replacement from yjyzjyzjyjyyzyzzzyjz?
4/969
Four letters picked without replacement from {p: 2, a: 4, u: 1, i: 6}. Give prob of sequence apii.
2/143
... | {
"pile_set_name": "DM Mathematics"
} |
What is the nearest to h in -0.3, u, 4/9?
4/9
Let v = 12 + -18. Let x = v + 6. What is the nearest to -1 in -2/9, x, 0.3?
-2/9
Let w(s) be the second derivative of -s**3/6 + 2*s**2 + 3*s. Let d be w(3). Which is the closest to d? (a) 0.5 (b) 1/3 (c) -1
a
Let l = -0.5 - 2.5. Let d = l + 2.9. Which is the closest to ... | {
"pile_set_name": "DM Mathematics"
} |
1
Let i be (3 - 1)/(-2 + (-43)/(-21)). Let k = i - 66. Let q = k - -29. Solve 0 = -0*x + 5*x - q for x.
1
Let g = 2814 + -2801. Solve 0 = g*l - 26 for l.
2
Let u(c) = -c**3 - 10*c**2 + 2. Let j = 19 - 41. Let q = 12 + j. Let z be u(q). Solve -2*o = -o - z for o.
2
Suppose 5*w + 4*c = 3*c + 387, w + 2*c - 81 = 0. Let t ... | {
"pile_set_name": "DM Mathematics"
} |
ple of 1498?
True
Is 299320477 a multiple of 137?
True
Is 19260942 a multiple of 4?
False
Is 1291864 a multiple of 68?
True
Does 63 divide 40087934?
False
Is 89789481 a multiple of 9?
True
Does 6 divide 24354207?
False
Does 748 divide 246049383?
False
Is 122 a factor of 686450568?
True
Is 64 a factor of 152163712?
True... | {
"pile_set_name": "DM Mathematics"
} |
Divide -895716 by 4.
-223929
What is -2990064 divided by -44?
67956
Calculate -27776 divided by -62.
448
Divide 1748524 by 31.
56404
Calculate 9912 divided by -1416.
-7
What is -2 divided by -14752?
1/7376
Calculate -233 divided by 17.
-233/17
Calculate 1220 divided by 209.
1220/209
What is 20195 divided by -18?
-2019... | {
"pile_set_name": "DM Mathematics"
} |
4. Suppose -5*x = -4*z + 12, 4*z - 2*x = 8*z - 12. Let f(u) = -2*u**3 + 10*u**2 + 3. Calculate z*q(k) + 4*f(k).
k**3 + 7*k**2
Let d(g) = -5*g. Let k be 2 - 4 - (-11 - -1). Let a(r) = -2*r. Let s(u) = 6 - 7*u - u**3 - 2 + 6*u**2 + 4 - 1. Let i be s(5). Calculate i*d(j) + k*a(j).
-j
Let y(o) = 10*o - 1279 + 1243 - 10*o*... | {
"pile_set_name": "DM Mathematics"
} |
of 1/7, to the nearest integer?
2
What is 3366 to the power of 1/3, to the nearest integer?
15
What is the fifth root of 507 to the nearest integer?
3
What is the third root of 39720 to the nearest integer?
34
What is 32003 to the power of 1/4, to the nearest integer?
13
What is the third root of 1300 to the nearest i... | {
"pile_set_name": "DM Mathematics"
} |
(-221)/(-3))/((-2)/a) a composite number?
True
Let u(c) be the first derivative of -c**3/3 + 7*c**2/2 + 2. Let i be u(7). Suppose 2*a + a - 39 = i. Is a composite?
False
Suppose u + x - 18 = 0, -x = -u + x + 15. Let i be 0 + 0 + 2 + 29. Let g = i - u. Is g prime?
False
Is (27/6 + -4)*1814 a prime number?
True
Let d = -... | {
"pile_set_name": "DM Mathematics"
} |
ecimal places.
-3.67
What is 54.158 rounded to the nearest ten?
50
Round -37220 to the nearest ten thousand.
-40000
Round -11045100 to the nearest ten thousand.
-11050000
What is -96230 rounded to the nearest one thousand?
-96000
Round 34.72 to the nearest 10.
30
Round 0.0000022 to 4 decimal places.
0
Round 491700 to t... | {
"pile_set_name": "DM Mathematics"
} |
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