text stringlengths 270 8.19k | meta dict |
|---|---|
94*n + n**5 + 2*n**2 + 96*n.
n*(n - 2)*(n - 1)*(n + 1)**2
Suppose 4*h - 13 - 7 = 0. Suppose 0 = -u + h*u - 12. Factor 2/9*n**u + 0 - 2/9*n + 0*n**2.
2*n*(n - 1)*(n + 1)/9
Let d(j) be the second derivative of j**6/45 - j**4/18 - 9*j. What is o in d(o) = 0?
-1, 0, 1
Let s(o) = -2*o**2 - o. Let z(q) = -3*q**2 - 1. Let r(... | {
"pile_set_name": "DM Mathematics"
} |
*j, -5*j - 4 = -5*c - 2*j. Let k(l) = -6 + 2 + l**c - 4*l + 3*l. Determine k(3).
2
Let o(p) be the first derivative of p**3/3 + p**2/2 - 18. Determine o(-3).
6
Let r = 6 + -4. Let h(d) = 0*d**r + 2*d**2 - d + d**2. Let g be 2*2/(20/(-5)). Give h(g).
4
Let n be 3 - -4*(-5)/(-10). Let r(m) = -m + 9. Calculate r(n).
4
Let... | {
"pile_set_name": "DM Mathematics"
} |
(-5).
2, 53
List the prime factors of (-932 + 0)/(180/(-945)).
3, 7, 233
Let h = -110 + 110. What are the prime factors of h + (-494)/(-1) + 1?
3, 5, 11
What are the prime factors of 8/6 - (-412)/(-309) - -56482?
2, 31, 911
Let c = -259 - -58. Let d = 118 - c. List the prime factors of d.
11, 29
Let i(v) = 20*v - 69. L... | {
"pile_set_name": "DM Mathematics"
} |
. Give p*m(b) - 4*t(b).
-2*b**3
Let x(b) = -13*b**2 - 12*b + 1. Let j(k) = -3*k**2 - 3*k. Determine -9*j(u) + 2*x(u).
u**2 + 3*u + 2
Let d = -8 - -12. Let c(l) = -d - 1 + 6. Let i(p) = p + 5. What is -3*c(y) + i(y)?
y + 2
Let s(z) = -3 + 1 + 2 + z - 1 + z**2. Let c(u) = -u**3 + 2*u**2 - u + 1. What is -c(g) - s(g)?
g**... | {
"pile_set_name": "DM Mathematics"
} |
qrt(1331))*-1 + sqrt(1331) + (0 + sqrt(1331) - sqrt(1331))*4)**2 + 0 + 5.
9
Simplify ((5*sqrt(228)*1)/(1*sqrt(12)*5))**2 + -4.
15
Simplify ((-4*(sqrt(190) + -2*sqrt(190)*5))/(sqrt(100)/(sqrt(10) - sqrt(70)/(2*sqrt(7)))))**2.
6156
Simplify ((sqrt(150) + sqrt(150) + sqrt(150)*2)/sqrt(5) - (sqrt(270) + (sqrt(270) - (sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
f 53/44 and -2 + (-6 - s/64)?
176
Let o be (-5 - (0 - 6))/(2/20). Let c be (-16)/20 + 1 - (-278)/o. Suppose -14*m + c = -84. Calculate the smallest common multiple of m and 12.
24
Suppose -271*c = -273*c + 10. What is the smallest common multiple of -5 + (49 - c) + -7 and 20?
160
Let d be 13522 + 1 + 5 + -2. Let l = -1... | {
"pile_set_name": "DM Mathematics"
} |
k*h + 22, -2*f - f + 14 = 2*h. Let a(w) = -w**2 + 7*w - 5. Is a(f) a multiple of 7?
True
Suppose -2*n - 3*n = -5. Is (-19)/(-3 - -2) - n a multiple of 16?
False
Suppose 0*q = -q. Suppose -4*r + 14 - 2 = q. Suppose f + r*f = 48. Is f a multiple of 9?
False
Let m = -24 + 24. Let r = -52 - -93. Suppose 4*o + 3*a + 2*a - r... | {
"pile_set_name": "DM Mathematics"
} |
6*k**4 + 7*k + 0*k**2 + 0. Let b(q) = 8*q**2. Calculate y(b(d)).
-128*d**4
Let m(f) = 5*f + 18. Let t(p) = -4*p - 15. Let o(h) = -5*m(h) - 6*t(h). Let y(g) = 5*g**2 + 12*g. What is o(y(j))?
-5*j**2 - 12*j
Let d(r) = -r. Suppose -16*n - 60 = -12*n. Let u be (n/10)/((-3)/4). Let g(k) = 0 + 12*k**u + 0. Calculate d(g(w)).... | {
"pile_set_name": "DM Mathematics"
} |
in 2, -0.22, 1/2, -1, -1.48, 0.1?
-0.22
What is the nearest to -2 in -2, 0.1, -1/5, -18721.9?
-2
What is the nearest to -1 in -29, 22/25, 34?
22/25
What is the closest to -1/4 in -62497, 1/47, 0, -4?
0
Which is the nearest to -1/4? (a) 0 (b) 8 (c) -1/27 (d) -387 (e) 0.051
c
Which is the nearest to -2? (a) 0.05 (... | {
"pile_set_name": "DM Mathematics"
} |
z) = -z. What is c(r(n))?
-5*n
Let i(v) = -6*v. Let q(l) = -l**2 + 4*l**2 + 2*l**2 + 0*l**2. Give q(i(n)).
180*n**2
Let f(h) = -21*h. Let n be (-18)/4 - 8/(-16). Let g(v) = -10*v. Let b(j) = n*f(j) + 7*g(j). Let r(k) = k**2. Give r(b(z)).
196*z**2
Let v(t) = -t**2. Let h = 17 - 50/3. Let a(j) be the first derivative of... | {
"pile_set_name": "DM Mathematics"
} |
'th term of 295, 2357, 7993, 19003, 37187?
300*x**3 - 13*x**2 + x + 7
What is the f'th term of -182068, -364136, -546204, -728272?
-182068*f
What is the d'th term of 625, 1389, 2295, 3343, 4533, 5865?
71*d**2 + 551*d + 3
What is the u'th term of 62, 9, -146, -457, -978, -1763?
-9*u**3 + 3*u**2 + u + 67
What is the n'th... | {
"pile_set_name": "DM Mathematics"
} |
factor of 2403?
False
Is 399 a factor of 81665?
False
Is 230 a factor of 715760?
True
Does 23 divide 6288683?
True
Is 4 a factor of 124328?
True
Is 17 a factor of 1777588?
True
Does 98 divide 289492?
True
Does 260 divide 1260946?
False
Is 16 a factor of 136576?
True
Is 4 a factor of 575804?
True
Does 58 divide 1095856... | {
"pile_set_name": "DM Mathematics"
} |
*3 - 19*r
Let g(n) = -32*n**2 - 16*n + 83. Let m(p) = -26*p**2 - 13*p + 83. What is -4*g(a) + 5*m(a)?
-2*a**2 - a + 83
Let l(x) = -5*x - 9242*x**2 + 4*x - 4 + 9231*x**2. Let r(u) = -u**2 - 1. Determine -l(d) + 4*r(d).
7*d**2 + d
Let n(v) = 15*v - 3764. Let r(z) = 19*z - 3760. What is 5*n(x) - 4*r(x)?
-x - 3780
Let q(u)... | {
"pile_set_name": "DM Mathematics"
} |
{b: 4, d: 2, q: 4, g: 1}. What is prob of sequence gd?
1/55
Two letters picked without replacement from {s: 1, y: 2, w: 1, m: 2, x: 1, k: 1}. Give prob of sequence kx.
1/56
Three letters picked without replacement from qrqaxeyyqaqexeeeyqe. What is prob of sequence qyq?
10/969
Three letters picked without replacement fr... | {
"pile_set_name": "DM Mathematics"
} |
in 0.2, -3, x?
0.2
Let i = 36265.8 + -36266. Let u be ((-22)/(-9))/2 + -1. Let s = 0.1 + 0. Which is the nearest to i? (a) 5 (b) s (c) u
b
Let p(a) = -3*a**3 - 8*a**2 - 3*a - 6. Let d be p(-3). Let q be (9*4/40)/(d/(-10)). Let j(z) = -z + 5. Let m be j(5). What is the nearest to m in 6/13, -0.5, q?
6/13
Let x = -61.... | {
"pile_set_name": "DM Mathematics"
} |
is 71.26998g in micrograms?
71269980
How many millilitres are there in 2.346494l?
2346.494
How many litres are there in 1187.521 millilitres?
1.187521
How many millilitres are there in 1/4 of a litre?
250
How many seconds are there in one sixth of a minute?
10
What is three tenths of a second in milliseconds?
300
What ... | {
"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"
} |
earest to s? (a) -2 (b) -6 (c) 2
c
Let i(o) = -o**2 + 7*o + 3. Let n be i(6). Let m be (-3)/n - (-10)/12. Which is the closest to 1? (a) m (b) 5 (c) -0.1
a
Let v = 2 + 1. Let q = 7 - v. Let h = -0.8 - -0.5. What is the closest to -0.1 in h, 0.2, q?
h
Let u = -3.4 - -3. What is the nearest to 2/3 in u, -11/2, 3/5?... | {
"pile_set_name": "DM Mathematics"
} |
5?
5937
Calculate 4984 divided by -1.
-4984
7 divided by -855
-7/855
What is 4878 divided by -18?
-271
What is 3 divided by -189?
-1/63
-4029 divided by 237
-17
Calculate -2064 divided by 24.
-86
-12 divided by 7
-12/7
-5 divided by 17
-5/17
Divide 57 by 19.
3
What is -6612 divided by 116?
-57
Divide 33 by -594.
-1/18
... | {
"pile_set_name": "DM Mathematics"
} |
vative of -57 + 106 + 872*w**2 - 592 + 780*w**2 - 315 wrt w.
3304*w
Let p(a) be the first derivative of 35*a + 13/4*a**4 + 77 + 0*a**3 - 1/2*a**2. Differentiate p(g) wrt g.
39*g**2 - 1
Let j(g) be the third derivative of 611*g**6/60 + 41*g**5/60 + 3*g**3 + 6*g**2 - 53*g. What is the third derivative of j(y) wrt y?
7332... | {
"pile_set_name": "DM Mathematics"
} |
-3
Let z = 5667 + -5658. Let g(u) = 7*u - 57. Determine g(z).
6
Let m(p) = -5*p - 6. Let i(a) = a**3 - 42*a**2 - 6*a + 258. Let d be i(42). What is m(d)?
-36
Suppose 40 = -f + 5*i, -160*f - 3*i = -165*f - 90. Let x(n) = 4*n + 48. Give x(f).
-12
Let b(m) = -37*m**3 - 5*m**2 - 39*m - 44. Let j(a) = -6*a**3 + 2*a**2 - 3*a... | {
"pile_set_name": "DM Mathematics"
} |
35. Let s = -199/240 + 73/80. Which is the closest to -1? (a) x (b) p (c) s
a
Let i = 5 - 0. Let f = 76385 - 76384.91. What is the nearest to -2/9 in f, i, -3?
f
Let q = 28686 - 28693. Let x = 0.5 - 0.5. Which is the closest to x? (a) -1/5 (b) -0.17 (c) q (d) -0.3
b
Let f = -12/85 + 121/255. What is the closest ... | {
"pile_set_name": "DM Mathematics"
} |
y 4
1331
Calculate -56 divided by -14.
4
What is 3 divided by 109?
3/109
What is -2 divided by -99?
2/99
Divide -12 by 9.
-4/3
Calculate 3250 divided by 125.
26
Divide -608 by 76.
-8
Calculate 300 divided by -5.
-60
Calculate -21 divided by -21.
1
What is -6720 divided by -240?
28
What is -12838 divided by -7?
1834
Wha... | {
"pile_set_name": "DM Mathematics"
} |
6, 4 = -4*m + 4*o. Determine s(m).
-5
Let k(n) = -21 + 0 + 4*n + 31 - n**2. Give k(8).
-22
Let p(r) = -6*r + 3. Let a = 12 + -7. Suppose 3 = 4*n - v - 9, a*n + v = 6. What is p(n)?
-9
Let t be (4 - 2) + -9 + 1. Let l = t + 5. Let j(x) be the second derivative of 3*x**5/20 + x**4/6 - x**2/2 + 2*x. What is j(l)?
-2
Let d... | {
"pile_set_name": "DM Mathematics"
} |
4*a = -5. Let j = 13 - z. Suppose j*f - 115 = 5*f. List the prime factors of f.
23
Let j = -2149 + 3441. What are the prime factors of j?
2, 17, 19
Let c = 18 - 15. Let p(x) = 27*x - 8. List the prime factors of p(c).
73
Suppose -8*s + 343 = 1111. List the prime factors of (s/(-18))/(((-6)/(-153))/1).
2, 17
Suppose -3*... | {
"pile_set_name": "DM Mathematics"
} |
e first derivative of 4*f**3 + 2*f**2 - 29. Let p(q) = -25*q**2 - 9*q - 1. What is 5*l(b) + 2*p(b)?
10*b**2 + 2*b - 2
Let u be (-4 + 8)/(2 - 1). Let q(s) = 3*s - 2*s**2 + u*s**2 + 2*s**2 - 3*s**2. Suppose -3*i = i - 12. Let k(p) = p**2 + 2*p. Calculate i*k(m) - 2*q(m).
m**2
Let z(l) be the first derivative of -5*l**4/4... | {
"pile_set_name": "DM Mathematics"
} |
m**2 + 155*m**2 + 651*m**2 + 49*m**2.
796*m**2
Collect the terms in -4*g**2 - 80*g**3 + 64*g**3 + 5 + 4*g**2.
-16*g**3 + 5
Collect the terms in 579*j**2 + 537*j**2 - 126*j**2.
990*j**2
Collect the terms in -71234*s + 2 - 2 + 71233*s.
-s
Collect the terms in -14 + 2*j - j + 2*j - 5*j.
-2*j - 14
Collect the terms in 38 -... | {
"pile_set_name": "DM Mathematics"
} |
o - 3 = -4*j - 23. Let i(u) = -u**3 + 3*u**2 + 6*u - 3. Let h be i(4). Solve -h = -b - o for b.
3
Let c = -21 + 25. Solve c = -2*j - 0 for j.
-2
Let w(j) = -j**2 + 9*j + 6. Let u be w(9). Let f = u + -4. Solve 3*t = -f + 11 for t.
3
Let u = -33 + 38. Solve -4*g - g = u for g.
-1
Let l = -18 + 38. Let m(f) be the second... | {
"pile_set_name": "DM Mathematics"
} |
= b + 144/37. Suppose 60/7*g**2 + 8*g + i*g**3 + 16/7 = 0. What is g?
-2, -2/3
Let m(f) = 93*f + 3813. Let i be m(-41). What is o in 3/2*o**2 + 3/4*o**3 + i - 2*o - 1/4*o**4 = 0?
-2, 0, 1, 4
Let t(i) = -9*i**4 - 9*i**3 - 3*i**2 + 3*i - 12. Let g(k) = 19*k**4 + 19*k**3 + 8*k**2 - 6*k + 25. Let j(c) = 6*g(c) + 13*t(c). S... | {
"pile_set_name": "DM Mathematics"
} |
-15 + 121 + (-3 - -8)?
135
Evaluate (19 + -12 - (-2 - 6) - 12) + 60.
63
Evaluate -1 + (-1 - 16 - -22 - -39 - (-2 + -5)).
50
Calculate -40 + (91 - 48) + -7.
-4
What is -1726 + 1723 + -59 + -1 + -15?
-78
13 + 9 + (-40 - -16) + 16
14
Calculate -9 + 1 + (-20 - -7) + 23 - 2.
0
(1 - (64 - 1) - 0) + (-259 - -270)
-51
What is ... | {
"pile_set_name": "DM Mathematics"
} |
rmine u(-4).
18
Let g(i) = 22*i + 15. What is g(-4)?
-73
Let q(s) = -3*s - 3. Give q(16).
-51
Let t(x) = 4*x - 21. Determine t(11).
23
Let v(p) = p**2 - 6. What is v(0)?
-6
Let d(j) = j**2 + 9*j + 11. Determine d(-6).
-7
Let m(k) = k**3 - 2*k**2 - 4*k - 2. Determine m(4).
14
Let w(c) = -c. Determine w(6).
-6
Let z(x) =... | {
"pile_set_name": "DM Mathematics"
} |
- 35*x) to a*x + f + m*x**2 and give m.
74
Rearrange -v**2 + 0*v**3 - 42*v + 3*v**3 + 38*v to g*v**3 + n*v + m + h*v**2 and give g.
3
Express (-2*f + 3*f + f)*(-2 - 1 + 1)*(3*f + 4*f - 4*f) as i*f**2 + p*f + c and give i.
-12
Rearrange -6*a - 5*a - 7*a to n + v*a and give v.
-18
Rearrange -50*p + 9*p - 6*p - 37*p to th... | {
"pile_set_name": "DM Mathematics"
} |
e 15, what is -1 - -5?
4
In base 8, what is -16 + -72?
-110
In base 7, what is -1 - -310?
306
In base 5, what is -2 - -2423?
2421
In base 13, what is -3795 + 2?
-3793
In base 2, what is 100 + 111000100?
111001000
In base 5, what is 1113 + -4?
1104
In base 8, what is 1603 + 2?
1605
In base 2, what is 110011 + -100?
1011... | {
"pile_set_name": "DM Mathematics"
} |
95)
Simplify ((h**14*h**(15/8)/h)**(2/51))**20 assuming h is positive.
h**(35/3)
Simplify (s/s**(-1/10)*s*s**6/s)/(s**(1/2)*(s*s**(2/5))/s*s) assuming s is positive.
s**(26/5)
Simplify q/((q*(q*q**15*q)/q)/q)*q/q**(2/13)*q**16*q/q**(-18) assuming q is positive.
q**(271/13)
Simplify (x*x*x/(x/((x/(x**(-2/3)*x))/x*x)))**... | {
"pile_set_name": "DM Mathematics"
} |
rt(30)/(sqrt(40) + sqrt(10))).
-9*sqrt(17)/28
Simplify ((-6*((sqrt(2057)*-2 - sqrt(2057)) + -4 + -4)*1)**2 + -1)*-5.
-3343855 - 95040*sqrt(17)
Simplify 3*((-5 + sqrt(891) + (-5*(0 + sqrt(891)) - sqrt(891)))**2 - (sqrt(891) - ((sqrt(891) + -4)**2 + -2 - sqrt(891)))*-2).
1890*sqrt(11) + 61470
Simplify (-4 + -3 + sqrt(180... | {
"pile_set_name": "DM Mathematics"
} |
y d.
6
Let a = 54 + 12. Let z(i) = 5*i**2 + 2*i + 34. Let d be z(-8). Suppose 16*m - 30 = d. Calculate the remainder when a is divided by m.
20
Suppose 24 = n + 2*n. Suppose 8*w - 2 = 4*s + 42, s - 37 = -4*w. What is the remainder when w is divided by n?
0
Let j = 34 - 30. Suppose -3*g + g = -44. What is the remainder ... | {
"pile_set_name": "DM Mathematics"
} |
t(351)*4)/(sqrt(27)/sqrt(36)))**2 + -5*(-5*-1*sqrt(156))/sqrt(12)).
-44928 + 150*sqrt(13)
Simplify (4*(sqrt(84) + sqrt(84)*2)*6*-3)/((sqrt(144)/sqrt(6))/sqrt(2) - (-1*sqrt(1728) - sqrt(1728))).
-216*sqrt(7)/25
Simplify (-3 + -6*((4 + -2*sqrt(75) + sqrt(75) + 3*(sqrt(75) + sqrt(75)*1))*-6*-5)**2)*4.
-40845612 - 4320000*... | {
"pile_set_name": "DM Mathematics"
} |
n base 8, what is -24203 + 177?
-24004
In base 7, what is 4345613 - 1315?
4344265
In base 9, what is -5435 - 624?
-6160
In base 3, what is 221210100112 + -2012?
221210021100
In base 10, what is -3763 + -128?
-3891
In base 15, what is -176e8 + a?
-176dd
In base 4, what is 1331203013132 + 0?
1331203013132
In base 14, wha... | {
"pile_set_name": "DM Mathematics"
} |
-2/1155, 89/4, -1?
-4/5
What is the smallest value in -0.3, -6072, -7368/5, 0.5?
-6072
What is the second smallest value in -1396, 8589, 0.5?
0.5
Which is the fifth smallest value? (a) -5/3 (b) 5 (c) 1.3 (d) 0.6 (e) -31 (f) -37/4 (g) 0.1
d
What is the second biggest value in 4/13, 11/5, -9, -88?
4/13
Which is t... | {
"pile_set_name": "DM Mathematics"
} |
5
c
What is the nearest to -9 in 0.5, -1, -2/784325, -1/9?
-1
What is the closest to 1/7 in 36, 27, -10, -2/13?
-2/13
Which is the nearest to 0.4? (a) 4 (b) 1804 (c) 3/5 (d) -3/19 (e) 3
c
What is the nearest to -3 in 7, -1164, -1.2?
-1.2
What is the nearest to -0.5 in 0.2, 2.84, 1.7, -0.7, 4?
-0.7
What is the clos... | {
"pile_set_name": "DM Mathematics"
} |
s be m(-1). Suppose -30 = -5*p - o, -p - 3*p - s*o + 35 = 0. What is the third derivative of -n**5 - n**2 + 0*n**p + 0*n**2 wrt n?
-60*n**2
Suppose -3*t - 5*m + 4*m + 13 = 0, -3*t + 4*m = 7. Find the second derivative of v**3 - 2*v - v**t - v**3 wrt v.
-6*v
What is the third derivative of -10*u**3 - 54*u**2 + 25*u**2 +... | {
"pile_set_name": "DM Mathematics"
} |
- 7. Let h be a(-9). Calculate the remainder when t(h) is divided by 4.
2
Let w = 12 - 1. Suppose 3*j - 3*u - 6 = 0, -u - 27 = -5*j - 1. What is the remainder when w is divided by j?
5
Let d = 10 - -11. What is the remainder when ((-27)/(-4))/(1/12) is divided by d?
18
Calculate the remainder when 27 is divided by (-2... | {
"pile_set_name": "DM Mathematics"
} |
**0)**34) assuming j is positive.
j**(-33)
Simplify ((w*w*w**(-1))**(-20)*w**(2/9)*w**(-8))/(((w/w**(-4))/w**3)/(w**(1/3)*w)**(-3/8)) assuming w is positive.
w**(-545/18)
Simplify (c**7/(c/c**5))/(c**(-1/3))**(-18)*(c/c**(2/5))**(1/43)/(c**(-2/23)*c*c*c*c*c**(1/3)*c) assuming c is positive.
c**(-3448/14835)
Simplify (v... | {
"pile_set_name": "DM Mathematics"
} |
*(b - 1)**3*(b + 1)**2/15
Let r(o) be the first derivative of o**3/8 + 3*o**2/16 - 27*o - 496. Suppose r(j) = 0. Calculate j.
-9, 8
Let i(t) be the second derivative of -1/6*t**4 + 0 - 16*t + 1/20*t**5 + 0*t**2 + 1/6*t**3. Suppose i(s) = 0. Calculate s.
0, 1
Let u be (-792)/240*(-2)/3 + -2. Factor -1/5*l**3 + u*l + 0 +... | {
"pile_set_name": "DM Mathematics"
} |
= 3*b(l) + 10*v(l). Calculate o(3).
-12
Let f(t) = -t**2 + 4*t - 1. Suppose -90 = b - 92. Give f(b).
3
Let b(d) = -d**3 + 3*d - 3. Let v = -126 - -67. Let t = 61 + v. Calculate b(t).
-5
Let k be ((-19 - -18)/(-1))/(1/4). Suppose 0 = -3*w - 4*f + 34, 2*w + f - 2 - 14 = 0. Let i(u) = w*u + 0*u - 5*u - 9. What is i(k)?
-... | {
"pile_set_name": "DM Mathematics"
} |
v**2 + 95693 - 95693 to g + n*v**2 + i*v and give n.
-2
Express (3*f**2 - 6*f**2 + 2*f**2)*(779*f - 593*f + 2752*f)*(0 + 0 - 5) as p*f**3 + n*f**2 + z*f + c and give p.
14690
Rearrange 38 - 50 - 2*j + 13 + j**2 - 1620*j**3 + 398*j**3 - 4*j**2 to the form s + c*j**2 + m*j + g*j**3 and give m.
-2
Express 519*l + 431*l - ... | {
"pile_set_name": "DM Mathematics"
} |
m. Let b be u(6). Let x be (-2)/18*-3*b. Let z(y) = 2*y - 3. Calculate z(x).
5
Let z(d) = -21*d**2 + 11*d - 28. Let y(p) = 25*p**2 - 11*p + 27. Let q(a) = 6*y(a) + 7*z(a). Calculate q(-6).
8
Let o(y) be the first derivative of -3*y**6/10 + y**3/6 - 3*y**2 - 6*y + 30. Let v(s) be the second derivative of o(s). Determine... | {
"pile_set_name": "DM Mathematics"
} |
(3*k + 0*k - k) + k + 2*k - 5*k - 3*k + 0*k + 6*k.
8*k
Expand (h + 1 - 1)*(0 + 0 + 2)*(-5 - 3 + 2).
-12*h
Expand (2*a - 2*a + 3*a**3)*(184 - 49 - 27 + 37).
435*a**3
Expand (-2*j + 2*j + j)*(j - 4*j + 2*j)*(-2 - 1 + 4).
-j**2
Expand (2 - 2 - 6)*(2*x**4 + 3*x**4 - 7*x**4) - 4*x**4 + 2*x**4 + 3*x**4.
13*x**4
Expand (5*c +... | {
"pile_set_name": "DM Mathematics"
} |
e 0 = p*t - t - 15. Solve -v = -t + 1 for v.
2
Let h = -6 - -9. Let v(c) = 2*c - 22. Let q be v(15). Suppose 5*s - j = 10, -3*s + q*j + 6 = 3*j. Solve -s - 1 = h*w for w.
-1
Let s(i) = i + 8. Let u be s(-6). Solve 0 = u*c - 5 + 15 for c.
-5
Let k = -51 - -51. Solve -r + k*r + 1 = 0 for r.
1
Let r(y) = 4*y**3 + 6*y**2 +... | {
"pile_set_name": "DM Mathematics"
} |
u) = -122*u**3 + 15*u**2 + 5*u - 9. Determine t(-1).
123
Let z(m) = 2*m**3 - 95*m**2 + 49*m - 169. Give z(47).
-75
Let s(q) = -2*q**3 + 40*q**2 - 192*q + 5. Determine s(8).
5
Let j(v) = 3*v**3 + 36*v**2 - 39*v - 1. Calculate j(-13).
-1
Let g(y) = 2*y**2 + 58*y - 194. Give g(-32).
-2
Let n(w) = w**3 + 46*w**2 + 297*w - ... | {
"pile_set_name": "DM Mathematics"
} |
818
Calculate the highest common divisor of 368 and 1467952.
368
What is the greatest common factor of 25425 and 6300?
225
What is the greatest common divisor of 833 and 1105?
17
Calculate the highest common factor of 78 and 660.
6
What is the greatest common factor of 987 and 161?
7
Calculate the highest common diviso... | {
"pile_set_name": "DM Mathematics"
} |
omposite number?
True
Suppose 0*d + 41750 = 5*d - 5*h, -2*d + h + 16703 = 0. Is d composite?
False
Let k = 216985 - 138294. Is k a prime number?
True
Let n be 22*(-3)/6*4. Let g be (-8)/n + (-140)/44. Let d(f) = 94*f**2 + 4*f + 5. Is d(g) composite?
False
Let k be (-135)/(-25) - 2/5. Suppose 3*q + 27 = 2*q - 5*s, k = -... | {
"pile_set_name": "DM Mathematics"
} |
t -2*z**2/3 + 1374422*z/3 + 916284 = 0.
-2, 687213
Solve -7*r**5/9 + 1780*r**4/9 + 5057*r**3/9 - 44206*r**2/9 - 131744*r/9 + 41120/9 = 0.
-4, 2/7, 5, 257
Determine s so that s**3/6 + 445*s**2/3 - 58847*s/6 + 28084 = 0.
-952, 3, 59
Factor h**2 + 196440*h + 9647168400.
(h + 98220)**2
Factor -4*n**2/3 - 39644*n - 118928/3... | {
"pile_set_name": "DM Mathematics"
} |
when two letters picked without replacement from {l: 2, w: 10, x: 6}?
20/51
Three letters picked without replacement from {m: 1, f: 1, w: 1, b: 1, q: 1, r: 2}. Give prob of picking 2 r and 1 f.
1/35
What is prob of picking 1 n, 1 q, and 1 l when three letters picked without replacement from {p: 1, q: 1, n: 2, l: 1}?
1/... | {
"pile_set_name": "DM Mathematics"
} |
-56775*v**3 + 214436*v.
-340650*v
Find the third derivative of 33*b**4*t**3 - 2*b**4*t**2 - 82*b**3*t - 27021*b**2*t**2 - 2*b**2*t - 3*b*t**3 wrt b.
792*b*t**3 - 48*b*t**2 - 492*t
Find the third derivative of 11*b**2*q**3 - 2*b**2*q**2 + 187910*q**5*u - 6903*q**2*u + 21*u wrt q.
66*b**2 + 11274600*q**2*u
Differentiate... | {
"pile_set_name": "DM Mathematics"
} |
+ 51*a - 33215
What is the q'th term of -7178467, -7178382, -7178297, -7178212, -7178127?
85*q - 7178552
What is the i'th term of -134887, -269772, -404657, -539542, -674427?
-134885*i - 2
What is the d'th term of 1213114090, 1213114088, 1213114086, 1213114084, 1213114082?
-2*d + 1213114092
What is the n'th term of 12... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*j = -3 + 2. Calculate the highest common divisor of u and 56.
7
Let t = 23 - 18. Let w be (-2)/(7*16/24*(-3)/7). Calculate the highest common factor of t and w.
1
Suppose -104 = 10*h - 294. Calculate the highest common factor of h and 7201.
19
Let z(h) = -h**3 + 7*h**2 - 4*h + 13. Let w be z(6). Calculate the grea... | {
"pile_set_name": "DM Mathematics"
} |
is the common denominator of t and -97/12?
60
Let m be (-6)/(-33) + 744/22. Suppose 0 = -5*s + 2*a + 36, 4*s + 5*a = s + m. Calculate the least common multiple of s and 12.
24
Suppose -2*z + 3970 + 1436 = -3*d, -8112 = -3*z + 3*d. Let t = -18909/7 + z. Find the common denominator of ((-106)/24)/(1/3) and t.
28
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
osite?
False
Let p be 1*(1 + 3 - 27). Let m = 55 - p. Suppose 0 = 5*o - 137 - m. Is o a composite number?
False
Let v = 197 - 522. Let m = v + 568. Let k = m + -40. Is k a prime number?
False
Let x(y) = -y**3 - 11*y**2 - 17*y + 8. Let v be x(-9). Is ((-3)/9)/(5/11805*v) a composite number?
False
Suppose -46 = -20*c + 3... | {
"pile_set_name": "DM Mathematics"
} |
lculate the greatest common factor of 595 and 68.
17
What is the highest common divisor of 984 and 216?
24
Calculate the greatest common divisor of 18 and 4.
2
Calculate the greatest common factor of 59 and 16048.
59
What is the greatest common divisor of 65 and 26?
13
Calculate the greatest common factor of 2585 and 1... | {
"pile_set_name": "DM Mathematics"
} |
). Give 2*d(x) - j(x).
x**3 + x + 1
Let n(q) = -9 - 4 + 2*q - 5*q + q**2 - 4*q**2. Let a be (-10)/7 + (-20)/35. Let l(o) = o**2 + o + 4. Determine a*n(c) - 7*l(c).
-c**2 - c - 2
Let h(z) = 3. Let j(s) = s - 7. Let u(l) = -5*h(l) - 2*j(l). Let k(p) = -3*p + 4*p + 3*p + 6 - 4. What is -2*k(g) - 5*u(g)?
2*g + 1
Let a = 35... | {
"pile_set_name": "DM Mathematics"
} |
) = -27*z - 1. Suppose 5*y = -j + 38, -5*j + j = 5*y - 92. Let i be j/(-63) - (-5)/(-7). List the prime factors of k(i).
2, 13
Let s(i) = i**2 - 19*i - 531. What are the prime factors of s(-51)?
3, 1013
Suppose -5*x = -2*t - 52, 0 = x + 4*t - 2*t - 8. Suppose -2*h = -h - x. Suppose w + w - h = 0. List the prime factors... | {
"pile_set_name": "DM Mathematics"
} |
s in ascending order.
-3/5, -0.1, s
Suppose -5*r - 6*a + 15 = -a, 2*r - 3 = -5*a. Suppose 3*i + 6 = q - 0*q, -r = q + 2*i. Sort q, 5, 2 in ascending order.
q, 2, 5
Suppose 3*n = -n - 8. Let t be (-3)/1 - (-2 - n). Sort -4, 5, t in increasing order.
-4, t, 5
Suppose -c = 2 - 0. Sort 3, c, -4 in decreasing order.
3, c, -... | {
"pile_set_name": "DM Mathematics"
} |
- 243. Let k be w(t). Solve 7 = 5*m - k for m.
4
Let d = 8 - -55. Let b = 76 - d. Suppose b*f - 84 = f. Solve -f*j - 8 = -3*j for j.
-2
Let l be (40/50)/(4/10). Suppose -s - 3*k = 3, -l*s + 4*k = -k - 16. Solve 2 = 5*m - s for m.
1
Suppose 2758 = -18*q + 40*q + 558. Solve 17*h + q - 15 = 0 for h.
-5
Let m = -93 + 65. S... | {
"pile_set_name": "DM Mathematics"
} |
ose -4*k = -3*k. Suppose -2*l + 3*l = 2*z, k = -3*z - 5*l + 26. Solve -4 = -5*c - z*x, -x = 2*c + 2*c - i for c.
0
Suppose -3*j + 48 = 3*d - 6*d, -4*d - 16 = 0. Solve -3*l + 1 = -k, 0*l + j = 2*l + 5*k for l.
1
Let o = 27 + -27. Solve 2*s - 3*q = 0, 0*s - 3*s + 3*q = o for s.
0
Suppose -4*j - 2 = -l - 7*j, -l + 3*j = -... | {
"pile_set_name": "DM Mathematics"
} |
implify (1 + sqrt(5)*-1 + (sqrt(200)/sqrt(4))/sqrt(10))**2.
1
Simplify ((sqrt(17) - (sqrt(17) + sqrt(17) + -1)) + 1)*1.
-sqrt(17) + 2
Simplify 2 + -2*sqrt(637).
-14*sqrt(13) + 2
Simplify (3 + sqrt(108) + 0 - (-5 + sqrt(108)*-2))**2.
288*sqrt(3) + 1036
Simplify (sqrt(52) + -1)**2 - (sqrt(143)/(sqrt(11)*3))**2.
-4*sqrt(1... | {
"pile_set_name": "DM Mathematics"
} |
m {n: 2, w: 11, l: 1}.
55/91
Four letters picked without replacement from ooooo. What is prob of picking 4 o?
1
What is prob of picking 4 c when four letters picked without replacement from nnncnncnccnc?
1/99
Three letters picked without replacement from {x: 7, b: 6, a: 6}. Give prob of picking 2 b and 1 a.
30/323
What... | {
"pile_set_name": "DM Mathematics"
} |
1).
13*w**3
Expand (2*i + 0*i + 0*i)*(-4*i + 3*i + 4*i)*(6*i - 6*i - 8*i)*(5*i + 0*i - 4*i).
-48*i**4
Expand (-v + v - 2*v)*(2*v**3 + 8*v**3 + 8*v**3)*(5 - 3 - 3).
36*v**4
Expand (-j + 0*j + 0*j)*(0*j**3 + 0*j**3 + 2*j**3)*(4*j + j + 5*j).
-20*j**5
Expand -a**2 + 4*a**2 - 2*a**2 - 2*a**2 + a**2 + 2*a**2 + (-3*a**2 - a... | {
"pile_set_name": "DM Mathematics"
} |
= 5*g + 4*l - t*l + 7. Sort g, 4, 3 in descending order.
4, 3, g
Suppose -4*p = 3*q - 5, p + 2*q - 9 + 4 = 0. Sort -3, p, 1 in descending order.
1, p, -3
Let x be ((-4)/(-18))/((-2)/(-3)). Let q = -0.2 - 0.3. Put 1/10, q, x in ascending order.
q, 1/10, x
Let y = -835/7 - -119. Let j = -2.12 + 0.12. Put y, j, 3 in ascen... | {
"pile_set_name": "DM Mathematics"
} |
es are there in 0.0669707ml?
0.0000669707
What is 1/5 of a tonne in kilograms?
200
Convert 5223.965 weeks to days.
36567.755
How many minutes are there in twenty ninths of a day?
3200
How many months are there in 75/4 of a decade?
2250
How many millilitres are there in 21/8 of a litre?
2625
How many micrometers are the... | {
"pile_set_name": "DM Mathematics"
} |
is the second biggest value in i, -0.2, 1/9?
i
Let d be (-3)/(-8)*220/66. Which is the biggest value? (a) d (b) -6 (c) -1/2
a
Let m = -21.4 + 23.4. Which is the third biggest value? (a) 0.3 (b) 5 (c) m (d) 4
c
Let n = -0.2 + 0.24. Let l = -2.04 + n. Let m = 8377/2 - 4187. Which is the second smallest value? (a... | {
"pile_set_name": "DM Mathematics"
} |
+ d + 2. Let v(k) = 2*a(k) + p(k). What is the third derivative of v(i) wrt i?
3558
Let u(n) = -n**2 + 50*n - 179. Let i be u(46). What is the third derivative of 53*y**3 - 53*y**i - 13*y**3 - 116*y**2 - 19*y**3 - 21*y**3 wrt y?
-3180*y**2
Let b(g) be the first derivative of -3*g**7/7 - 129*g**5 + 419*g**3 - g**2 - 316... | {
"pile_set_name": "DM Mathematics"
} |
base 11, what is 72 + -4?
69
In base 6, what is 5 - 250?
-241
In base 7, what is -2 - -6?
4
In base 16, what is 404a - -2?
404c
In base 3, what is 22 + 20010?
20102
In base 8, what is -2 - -47?
45
In base 4, what is 0 + -1001030?
-1001030
In base 13, what is 6 - 75?
-6c
In base 12, what is 3ab - 0?
3ab
In base 6, what ... | {
"pile_set_name": "DM Mathematics"
} |
ere in fourty-nine fifths of a century?
980
What is 2502.376mg in micrograms?
2502376
What is three tenths of a centimeter in millimeters?
3
How many meters are there in 5.194281um?
0.000005194281
What is 21/4 of a hour in seconds?
18900
What is twenty-nine fifths of a tonne in kilograms?
5800
What is 46.15767 decades ... | {
"pile_set_name": "DM Mathematics"
} |
k(g(n))?
10*n**2
Let o(v) = 7*v**2. Let z(y) be the first derivative of -1/3*y**3 + 0*y**2 + 0*y - 1. Calculate z(o(l)).
-49*l**4
Let f(u) be the second derivative of u**3/3 + 3*u. Let k(n) = 3*n. Determine f(k(b)).
6*b
Let s(p) = -4*p**2. Let c(k) = 7*k + 5. Let l(i) = -4*i - 3. Let x(r) = 6*c(r) + 10*l(r). Give x(s(y... | {
"pile_set_name": "DM Mathematics"
} |
6961/7?
False
Suppose -864 = -3*a - 3*a. Let i = 1806 - 1661. Is i at least a?
True
Suppose -36*c + 43*c - 14 = 0. Let z = -27 - -15. Let i be -2 + 0*3/z. Which is smaller: i or c?
i
Let f = 215 + -138. Let b = -79 + f. Let r = 0.81 - 1.21. Which is bigger: b or r?
r
Let p = -267061 - -1339826/5. Let j = -910 + p. Whic... | {
"pile_set_name": "DM Mathematics"
} |
What is the second derivative of j(n) wrt n?
-6174
Suppose -r + 3 = 0, 0 = 2*k + 4*r + 4 - 22. Suppose 2 = -k*y + 5*y. What is the derivative of -4 - 4 + 8*m**2 - y wrt m?
16*m
Let u = -468 - -470. What is the third derivative of 90*f**6 - 63*f**6 + 27*f**u - 23*f**6 + 35*f**4 + f wrt f?
480*f**3 + 840*f
Let l(m) be th... | {
"pile_set_name": "DM Mathematics"
} |
, 3, 5, 14411
What are the prime factors of 10914635?
5, 31, 67, 1051
What are the prime factors of 539760?
2, 3, 5, 13, 173
What are the prime factors of 1445486?
2, 7, 223, 463
What are the prime factors of 383040?
2, 3, 5, 7, 19
List the prime factors of 368034.
2, 3, 61339
List the prime factors of 979119.
3, 10879... | {
"pile_set_name": "DM Mathematics"
} |
ne m(11).
7
Let j be (4/(-10))/(1/(-5)). Suppose -j*u + 8 = 0, 2*y - y + u = 26. Let i be (-384)/66 + (-4)/y. Let z(w) = w**3 + 5*w**2 - 7*w - 5. Give z(i).
1
Let l(t) = -4*t**2 - 128*t**3 + 2*t + 61*t**3 + t**2 - t + 66*t**3. Suppose 4*u = -0*u - 16. Calculate l(u).
12
Suppose -6*u + 22 = -4*u. Let m(x) = 9*x + x**3 +... | {
"pile_set_name": "DM Mathematics"
} |
itres in litres?
0.0002169226
What is 5/4 of a litre in millilitres?
1250
Convert 35.02931 litres to millilitres.
35029.31
What is three tenths of a millennium in years?
300
What is 81/2 of a second in milliseconds?
40500
Convert 0.4243052 millennia to years.
424.3052
What is three eighths of a millimeter in micrometer... | {
"pile_set_name": "DM Mathematics"
} |
Let x = -25 - -30. Solve 0 - x = -u for u.
5
Let q be (3 - 1)*10/4. Suppose 0*c = -q*c + 15. Suppose 28 = s - 4*y, 4*s + 2*y = c*s + 16. Solve 3*h + 2*h - s = 0 for h.
4
Let s be 4/(3 + -1) + 4. Suppose 5*t - 36 = -26. Solve t*b = s*b for b.
0
Let z(t) = t**3 - 8*t**2 + 8*t - 2. Let l be z(7). Solve 0 = 2*m - l*m + 6 ... | {
"pile_set_name": "DM Mathematics"
} |
(1/5))**(-26) assuming s is positive.
s**(129/70)
Simplify ((((t*t**15)/t)/(t**19*t))/(t*t*t**(-3/10)*t/t**(-2/21)*t))**(2/23) assuming t is positive.
t**(-1847/2415)
Simplify (g**(-3)/(g/g**(2/13)))**(1/56)/((g**(1/4)*g**0)/(g*g/(g*g**(2/3)))**(-33)) assuming g is positive.
g**(-1030/91)
Simplify (((x**1/x)/x)**46*(x/... | {
"pile_set_name": "DM Mathematics"
} |
3, 536, 529, 522?
-7*j + 557
What is the v'th term of 4592, 9185, 13782, 18383, 22988, 27597?
2*v**2 + 4587*v + 3
What is the y'th term of -18, 21, 62, 105, 150?
y**2 + 36*y - 55
What is the t'th term of 73, 77, 81, 85, 89?
4*t + 69
What is the s'th term of -390, -781, -1172, -1563, -1954, -2345?
-391*s + 1
What is the... | {
"pile_set_name": "DM Mathematics"
} |
ors of 29231505?
3, 5, 23, 61, 463
List the prime factors of 938214.
2, 3, 47, 1109
What are the prime factors of 73797?
3, 17, 1447
What are the prime factors of 331255?
5, 97, 683
List the prime factors of 695083.
23, 47, 643
What are the prime factors of 79955?
5, 15991
What are the prime factors of 869677?
53, 61, ... | {
"pile_set_name": "DM Mathematics"
} |
23
Three letters picked without replacement from cycaclcl. What is prob of picking 2 c and 1 a?
3/28
Two letters picked without replacement from ytrtybbysyytyr. Give prob of picking 2 r.
1/91
Three letters picked without replacement from sjuysrsyuu. What is prob of picking 1 r, 1 j, and 1 y?
1/60
Two letters picked wit... | {
"pile_set_name": "DM Mathematics"
} |
1/1980
Three letters picked without replacement from {m: 1, y: 1, z: 2, w: 1}. What is prob of sequence zyy?
0
Two letters picked without replacement from mmwwmmmmrmwwrwwwrw. Give prob of sequence rw.
4/51
Three letters picked without replacement from {x: 4, i: 10, m: 2}. Give prob of sequence iix.
3/28
Calculate prob... | {
"pile_set_name": "DM Mathematics"
} |
t s(y) = -7*y**2 + y. Let i(c) = k(c) + 6*s(c). What is the second derivative of i(q) wrt q?
404
Let k(b) be the second derivative of -b**5/20 + 481*b**4/12 + 185*b**3/6 + 3*b + 99. Find the second derivative of k(v) wrt v.
-6*v + 962
Let d(a) be the third derivative of -29*a**8/336 + 7*a**4/8 + 20*a**2. What is the se... | {
"pile_set_name": "DM Mathematics"
} |
9. Let i be p(16). Suppose q + 4*a - 16 = -i*q, 0 = -3*q - 4*a + 11. Sort q, 0, 0.4 in descending order.
q, 0.4, 0
Let i be (-1)/7*14/(-4). Let s be ((-8)/6)/(10/105*7). Put i, s, 3 in decreasing order.
3, i, s
Let i be 4/6*(-18)/(-12)*3. Suppose 3*m - 5 = 2*m. Sort i, 2, m in decreasing order.
m, i, 2
Let v(q) = 2*q**... | {
"pile_set_name": "DM Mathematics"
} |
59
-5901438/59
What is 50302195 divided by -2?
-50302195/2
Calculate -909019920 divided by -222799.
4080
Calculate 104157963 divided by 9.
11573107
Calculate -269119052 divided by -848956.
317
212896756 divided by 1
212896756
Divide 25261335 by 33.
765495
-17177880 divided by -572596
30
Divide 209626924 by 722.
290342
... | {
"pile_set_name": "DM Mathematics"
} |
-544*l + 6599 + 473 for l.
13
Solve -17*k + 9*k - 26*k = -476 for k.
14
Solve 27*s + 54 + 220 = 4 for s.
-10
Solve 7*x + 248 = -16*x - 8*x for x.
-8
Solve -270*v + 234*v = 288 for v.
-8
Solve 609*d - 1455 = 512*d for d.
15
Solve -1043 + 419 = -84*b - 456 for b.
2
Solve 0 = -29*w + w - 284 + 60 for w.
-8
Solve 242*i - ... | {
"pile_set_name": "DM Mathematics"
} |
when 77882536 is divided by 157?
17
Calculate the remainder when 2322841 is divided by 774225.
166
Calculate the remainder when 20836088 is divided by 372.
368
What is the remainder when 27827978 is divided by 2427?
2423
Calculate the remainder when 6869340 is divided by 58712.
36
What is the remainder when 10375250 is... | {
"pile_set_name": "DM Mathematics"
} |
- 6 - 12*l + 2 + l**2. Let i be c(10). Let w = 38 + i. Does 3 divide w?
False
Let j(n) = -n**2 + 4*n**2 - n + 0*n**2 + 0*n**2. Let h be j(1). Suppose 0 = 2*l - 2*t - 22, h*t = -0 - 2. Is l a multiple of 5?
True
Suppose -5*f = 2*p - 509, -2*p + 4 = -0*p. Is 60 a factor of f?
False
Let h = -1 + 4. Suppose -8*s = -h*s - 3... | {
"pile_set_name": "DM Mathematics"
} |
) = 30*r - 20. Let w(b) = 30*b - 19. Let u(h) = -2*t(h) + 3*w(h). Let p be u(10). Let g = p + -195. What is the highest common divisor of g and 8?
8
Suppose -7*p + 72 = -68. Suppose -p*v + 15*v = -85. What is the greatest common factor of v and 187?
17
Let t(a) = 3*a**2 + 8*a - 5. Let s be t(7). Let u(j) = 20*j - 62. L... | {
"pile_set_name": "DM Mathematics"
} |
What is the units digit of 411?
1
What is the ten thousands digit of 10092?
1
What is the units digit of 16360?
0
What is the thousands digit of 1621?
1
What is the hundreds digit of 6966?
9
What is the hundreds digit of 5214?
2
What is the hundreds digit of 999?
9
What is the thousands digit of 2676?
2
What is the th... | {
"pile_set_name": "DM Mathematics"
} |
erms in 2972 - 2972 - 30*z**3.
-30*z**3
Collect the terms in -4 - 4*a**2 + 4 + a + a.
-4*a**2 + 2*a
Collect the terms in 6*j - j - 6*j.
-j
Collect the terms in -8*b**2 - 4*b + 0*b + 4*b.
-8*b**2
Collect the terms in -98*b + 35*b + 32*b + 35*b.
4*b
Collect the terms in 14 - 27*m**2 - 14.
-27*m**2
Collect the terms in -2... | {
"pile_set_name": "DM Mathematics"
} |
h - 2*t for h.
-2
Let y(u) = u**2 + 16*u + 15. Let l be y(-15). Solve l = 3*h + 5*k + 13 + 6, 5*h + k = 5 for h.
2
Let o(z) be the first derivative of z**2/2 + 7*z + 2. Let g be o(-4). Let s be ((-6)/10)/((-8)/40). Solve g*h - 3 = -h + l, 12 = s*h - 4*l for h.
0
Suppose -3*j = 2 - 11. Suppose j*f + 8 = 4*f. Solve -a = ... | {
"pile_set_name": "DM Mathematics"
} |
212*t**2 + t**3 - 10*t + 528 + 538 as i*t + x + o*t**3 + f*t**2 and give x.
1
Express (-5*x + 5*x + x**3)*(x - 3*x - x) - 2*x**4 + 2*x**3 + 0*x**3 - 2 + 0 in the form l*x**3 + q + y*x**4 + t*x + m*x**2 and give y.
-5
Rearrange (4*b - 13*b - 16*b)*(2 + 3 - 1 + 2*b**2) to v*b**3 + f + q*b**2 + o*b and give f.
0
Rearrange... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*q.
4*q
Collect the terms in 4*n**3 + 66*n**3 - 1718*n**3.
-1648*n**3
Collect the terms in 12 + 2*o**3 - 14 + 2.
2*o**3
Collect the terms in -4*w**3 + 7*w**3 + 4*w**3.
7*w**3
Collect the terms in 5*p**2 + 19*p - 19*p.
5*p**2
Collect the terms in 205*h + 229*h - 90*h.
344*h
Collect the terms in -m**3 - 3*m + 0*m + 3... | {
"pile_set_name": "DM Mathematics"
} |
t(5)
Simplify ((sqrt(80) - (sqrt(80) + 2*sqrt(80)))/sqrt(8))/((sqrt(162) - sqrt(162)*2) + sqrt(162) + sqrt(162)).
-2*sqrt(5)/9
Simplify (-1*1*sqrt(5) + sqrt(45) + 2)**2.
8*sqrt(5) + 24
Simplify (sqrt(34) + sqrt(102)/sqrt(3))/sqrt(2) + -4 - -4*((sqrt(17) - sqrt(17)*-1)*4)**2.
2*sqrt(17) + 4348
Simplify 3*(sqrt(64)/sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
earest ten thousand?
50000
Let i = -35.0000024 - -35. Round i to six dps.
-0.000002
Let r = 55.6 + 0.4. Let c = -10835.59 - -10779. Let l = c + r. What is l rounded to 1 dp?
-0.6
Let a = -0.074 - -17.274. Let y = a - 20. What is y rounded to zero dps?
-3
Suppose -2*u = -4*h - 1395316, 5*h + 0*h - 3*u = -1744147. Let i ... | {
"pile_set_name": "DM Mathematics"
} |
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