text stringlengths 270 8.19k | meta dict |
|---|---|
Let w(m) = m**3 + 5*m**2 - 24*m - 98. Give w(-5).
22
Let d(o) = -3*o**2 - 61*o - 124. Calculate d(-19).
-48
Let p(d) = -d**3 - 11*d**2 - 6*d - 38. Determine p(-11).
28
Let h(u) = 15*u + 56. What is h(3)?
101
Let k(m) = -4*m**2 - 40*m + 12. What is k(-7)?
96
Let c(p) = p**3 + 7*p**2 + 13*p + 16. What is c(-8)?
-152
Let ... | {
"pile_set_name": "DM Mathematics"
} |
than -3?
True
Which is smaller: 23281 or 23283?
23281
Which is bigger: 2/6531 or 1?
1
Do 1/979 and -3/8 have the same value?
False
Is -19618 smaller than -19607?
True
Is 1 not equal to -64/15149?
True
Which is greater: -326835 or -326834?
-326834
Is 200504 not equal to 1002517/5?
True
Which is smaller: 0.4442 or -60/17... | {
"pile_set_name": "DM Mathematics"
} |
is the n'th term of -19189, -153495, -518065, -1228039, -2398557, -4144759, -6581785, -9824775?
-19190*n**3 + 8*n**2 - 7
What is the k'th term of -102315, -101323, -100331, -99339, -98347?
992*k - 103307
What is the f'th term of 83582, 167086, 250576, 334052, 417514, 500962, 584396?
-7*f**2 + 83525*f + 64
What is the q... | {
"pile_set_name": "DM Mathematics"
} |
-y + 0 + 2*q + 2 + 3 wrt q.
2
Let u(y) be the first derivative of 7*y**6/6 + 5*y**3/3 - 8. What is the third derivative of u(p) wrt p?
420*p**2
Let x(m) = -5*m**4 - 14*m**2 + 5*m - 5. Let j(t) = t - 1. Let q(r) = 5*j(r) - x(r). What is the third derivative of q(k) wrt k?
120*k
Let j(k) be the second derivative of k**5/... | {
"pile_set_name": "DM Mathematics"
} |
-1.
8*sqrt(7) + 1788
Simplify (sqrt(171) + sqrt(171) + 1 + sqrt(171) - (-1*sqrt(152))/sqrt(8) - (5 + 1*sqrt(475) + sqrt(475)))**2.
16
Simplify -3 + (1*((sqrt(3) - sqrt(75)) + 1))**2 - (sqrt(243)*-2*-3 + -3).
-62*sqrt(3) + 49
Simplify (sqrt(5) + sqrt(45)/(sqrt(9) + sqrt(18)/sqrt(2)) - (5 + sqrt(20)/sqrt(4)) - (sqrt(20)... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*u**3 - 3*u**3 - 3*u**2 + 30 + 32 - 2*u**4 + 27 to the form i + r*u**4 + w*u**2 + k*u + c*u**3 and give r.
-2
Express 45*z - 21*z + z**4 - 15*z**2 + 18*z**2 - 22*z + 48 in the form l*z**2 + y*z**3 + u*z + m + i*z**4 and give u.
2
Rearrange 34*u**3 - 132 - 117*u**3 + 85*u**3 to o*u**3 + k*u + l + r*u**2 and give l.
... | {
"pile_set_name": "DM Mathematics"
} |
qrt(99)*-1))/sqrt(9)) - (2 + (sqrt(560)*-5 - sqrt(35))/sqrt(7)*-3).
-54*sqrt(5) - 2
Simplify -3 + (((sqrt(1008) - (2 + (sqrt(1008) - (sqrt(1008) + sqrt(1008) + -1 - sqrt(1008))))) + (sqrt(1008) + 0 + sqrt(1008))*-2 + 3)*-3 + -1 + 1)**2.
81645
Simplify -4*(sqrt(1377) + -4*1*sqrt(1377) - (sqrt(1377) + (1 + sqrt(1377))*6)... | {
"pile_set_name": "DM Mathematics"
} |
3*w, 3*w - 2*t - h = 0 for w.
4
Let n be (-4)/18 + 8/36. Let v(b) be the first derivative of -b**3/3 + 2*b + 1. Let z be v(n). Solve -5*w + 25 = 5*g, -z*w - g + 5 = -0*w for w.
0
Let d(z) = -z**2 - 8*z + 4. Let a be d(-8). Suppose -1 = -v - 3*c, 1 = -0*v - v - a*c. Let b = v - 4. Solve 8*f = b*f - 5, -4*k = -5*f - 1 fo... | {
"pile_set_name": "DM Mathematics"
} |
nominator of w and (59/10)/((-14)/(-28)).
40
Let j = -6 + -1. Let l(k) = k**3 + 7*k**2 + 8. Let u = -1 + 4. Calculate the least common multiple of l(j) and u.
24
Suppose 0*a - 262 = -3*l + 2*a, -2*a + 82 = l. Suppose -3*b = -5*c + l, -18 = -2*c + 5*b + 24. Calculate the lowest common multiple of c and 20.
80
Let d(u) =... | {
"pile_set_name": "DM Mathematics"
} |
emainder when 6560 is divided by 1090.
20
What is the remainder when 4871 is divided by 47?
30
Calculate the remainder when 580 is divided by 87.
58
What is the remainder when 721 is divided by 56?
49
Calculate the remainder when 179 is divided by 52.
23
Calculate the remainder when 1419 is divided by 33.
0
Calculate t... | {
"pile_set_name": "DM Mathematics"
} |
e -4*v = 2*s + 10, -b*v + 5*s + 25 = -4*v for v.
0
Let a(f) be the first derivative of f**2 + f + 80. Let c be a(2). Solve -3*h - 16 = -2*l + 4, -c*l + 2*h + 28 = 0 for l.
4
Let r = -8851 - -8868. Solve 2*u - k - 9 = 0, 4*u + r = -4*k + 5 for u.
2
Let s be (-4)/6 - 34/(-6). Let p = -3059 + 3061. Solve -a + p*y - 12 = 0... | {
"pile_set_name": "DM Mathematics"
} |
s (c) 2 (d) -2/7
a
Let x be 55/(-132) - 2/24. What is the smallest value in 3/8, x, 0.5, 1/12?
x
Let q = -1097 - -1100. Let g = -4.9 + 5. What is the biggest value in g, q, 0.012?
q
Let i(w) = -w**2 - 16*w - 61. Let s = -52 - -45. Let o be i(s). Which is the second smallest value? (a) o (b) 0.1 (c) -23 (d) -5
d
... | {
"pile_set_name": "DM Mathematics"
} |
p = r - 31. What is p*i(t) - 5*o(t)?
3*t**3
Let t = 224233 + -224237. Let d(n) = -6*n. Let a(p) be the third derivative of 5*p**4/24 + p**2. What is t*d(v) - 5*a(v)?
-v
Let v(b) be the third derivative of -b**4/8 + b**3/3 + 2*b**2. Let k = -16 - -18. Let w(o) = -30*o + 63*o - o**k - 1 - 34*o. Calculate v(a) - w(a).
a**... | {
"pile_set_name": "DM Mathematics"
} |
**2)*(2*o - 1 + 1 + (3 - 2 - 3)*(o + 4*o - 3*o) + 2 + o - 2).
3*o**3
Expand (2 - 2 - 6*q)*(-2*q**3 - 3*q**3 + 6*q**3) + 2*q**3 - 2 + 0*q**3 - 3*q**3 - 2*q**4.
-8*q**4 - q**3 - 2
Expand (1 - 1 + 2)*(-9 + 7*t + 9 + (-3 + 5 - 3)*(0*t + t - 3*t)).
18*t
Expand (0*r**3 + 5*r**3 + 0*r**3)*(4*r - 4*r - 2*r).
-10*r**4
Expand -3... | {
"pile_set_name": "DM Mathematics"
} |
site?
True
Let k(x) = -x**3 - 3*x**2 + 5*x - 14. Let a(d) = -2*d**3 - 9*d**2 + 14*d - 41. Let w(r) = -4*a(r) + 11*k(r). Let z be w(6). Let o = z - -795. Is o prime?
False
Suppose -13*h + 14742 = -19*h. Let b = 33428 - h. Is b prime?
False
Is ((-4)/((-32)/1105400) - 5) + 9 a composite number?
False
Suppose 5*y + u = 148... | {
"pile_set_name": "DM Mathematics"
} |
of 20120 and 60360?
60360
Calculate the smallest common multiple of 8 and 312206.
1248824
What is the common denominator of -107/16632 and -79/425040?
3825360
Calculate the smallest common multiple of 1248 and 17160.
68640
What is the smallest common multiple of 32550 and 4?
65100
Calculate the common denominator of 95... | {
"pile_set_name": "DM Mathematics"
} |
5*w - 67 for a.
-2
Solve 1012*q - 1008*q = -2*l + 6, -3*q - 4*l = -17 for q.
-1
Solve p - 4*s + 10 = 0, -14*p + 9*p + s + 19 = -7 for p.
6
Solve 861*m - 865*m = 2*v - 10, 0 = -3*m + v + 10 for m.
3
Solve w + 3*j = -11, -3*w + 19 - 40 = 5*j for w.
-2
Solve 5030*a - 5027*a - 14 = -q, 0 = -a - q + 8 for a.
3
Solve -f = -1... | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of 179*i**9/504 + 5*i**8/336 - i**7/70 - 27*i**5/4 + 25*i**2 + 2*i - 1. Find the third derivative of s(n) wrt n.
21480*n**3 + 300*n**2 - 72*n
Let d = 55 - 55. Suppose 0*z = -z + 1, -5*o - 2*z + 22 = d. Find the second derivative of 59 - g**o - 59 - 2*g + 11*g wrt g.
-12*g**2
Let d(h) be the third derivati... | {
"pile_set_name": "DM Mathematics"
} |
- 1 - d + 0*d + d**2. Let o(k) = -2*k**2 + 3*k - 2. Let y(n) = -4*g(n) + o(n). Let t(b) = -2*b**2 + b - 2. What is 2*t(f) + 3*y(f)?
2*f**2 - f + 2
Let o(q) = 3*q**3 + 4*q**2 - 5*q - 1. Suppose -5*h = -7 - 8. Let r = -29 - -39. Let f(w) = -r*w + 2*w**3 - 1 + 2*w + 4*w + 3*w**2. Calculate h*o(x) - 4*f(x).
x**3 + x + 1
Le... | {
"pile_set_name": "DM Mathematics"
} |
nd -1/840?
445200
What is the smallest common multiple of 102 and 43740?
743580
What is the smallest common multiple of 17721 and 9?
17721
What is the smallest common multiple of 17145 and 4445?
120015
Find the common denominator of 37/16 and -29/18332.
73328
Calculate the common denominator of 31/54 and 25/177288.
159... | {
"pile_set_name": "DM Mathematics"
} |
Solve d = p - 0*p for p.
5
Let q(t) = t**2 + 6*t + 7. Let w be q(-5). Suppose -w*c = c. Suppose 3 = u - c. Solve u*v - 2*v = -2 for v.
-2
Let h(b) = b + 8. Let a = -16 + 10. Let i be h(a). Solve v = -i*v + 6 for v.
2
Suppose p - 15 = -5*j, 5*p + j + 0*j - 75 = 0. Solve 0 = 3*z + 2*z - p for z.
3
Let k = 3 - 0. Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
4. Let o(f) = f - 1. Let x(c) = -4*o(c) - z(c). What is x(j(w))?
-w**2
Let i(g) = 90 - 90 + g. Let c(r) = -r**3 - 7*r**2 + 8*r + 4. Let w be c(-8). Let u(y) = y**2 + w*y - 4*y + 0*y**2. What is u(i(a))?
a**2
Let l(n) = -n. Let i(b) be the third derivative of 0*b**4 + 1/12*b**5 + 3*b**2 + 0*b + 0 + 0*b**3. What is i(l(... | {
"pile_set_name": "DM Mathematics"
} |
11*p**5/60 - p**3/6 + p**2. Let y = 458 - 438. Suppose -10*w + y = 10*w. Calculate k(w).
-12
Let m(g) be the third derivative of -1/24*g**4 - 20*g**2 + 1/60*g**5 + 0 + 0*g - 1/120*g**6 + 5/2*g**3. Suppose -9*n = 6*n. What is m(n)?
15
Let g(s) = 5*s + 44. Let p(y) = 14*y**2 - 349*y - 25. Let m be p(25). What is g(m)?
44... | {
"pile_set_name": "DM Mathematics"
} |
*t - 16 for t.
-3
Solve 3*m + 5*r + 7 = 26, -2*m - 5*r = -16 for m.
3
Solve 9 = 3*c - 4*u + 6, -5*u = 2*c - 2 for c.
1
Solve 0 = 5*w + 2*z - 1 - 18, 2*w - 2*z - 16 = 0 for w.
5
Solve -2*q + 4*m = -22, -11*q + 12 = -8*q + m for q.
5
Solve -51*t + 4*c - 8 = -56*t, -5*c - 15 = 0 for t.
4
Solve 3*c = h - 6*h - 14, 4*h + 5*... | {
"pile_set_name": "DM Mathematics"
} |
as m*v + a + y*v**2 + q*v**3 + k*v**4 and give k.
9
Express -24*a - 6*a + a - 16*a as l*a + n and give l.
-45
Express -22*b + 8*b + 2 - 19*b as d + j*b and give d.
2
Rearrange (-11 + 5 + 30 + (-1 + 1 - 1)*(-1 - 4 + 3))*(3*i + i - 3*i) to the form n + h*i and give h.
26
Rearrange 2*t**3 + 6*t - 4*t**3 - 2*t to the form ... | {
"pile_set_name": "DM Mathematics"
} |
eplacement from cxxxzfxcsx. Give prob of sequence xf.
1/18
What is prob of sequence jx when two letters picked without replacement from jkxpjjkppkkkpk?
3/182
What is prob of sequence lw when two letters picked without replacement from ltggcclfw?
1/36
Calculate prob of sequence hkyk when four letters picked without repl... | {
"pile_set_name": "DM Mathematics"
} |
h + 20 = -f + 7*h. Put 14, 1, f in ascending order.
f, 1, 14
Let h be 2/6*(8 + -128)/(-10). Suppose 5*v + 24 = -3*w, 4*v - h*w + 9 = -3*w. Sort v, -12, -5.
-12, -5, v
Let p = 5 - 0. Let l = 32916 + -32903. Put l, p, 2, 0 in increasing order.
0, 2, p, l
Let b = -344 + 499. Let p = -159 + b. Put -9, -2, p in increasing o... | {
"pile_set_name": "DM Mathematics"
} |
(f) be the second derivative of -11*f**4/3 + 55*f**2/2 - 246*f + 1. Let u(p) = p**2 - 1. What is h(m) + 55*u(m)?
11*m**2
Let s(p) = 0*p + 2*p + 4 + 0*p - 7*p. Let q = 741 + -745. Let c(x) be the second derivative of -5*x**3/3 + 9*x**2/2 - 11*x. Give q*c(w) + 9*s(w).
-5*w
Let x(y) = -2*y**2 - 32 + 67 + 6*y - 8*y - 31. L... | {
"pile_set_name": "DM Mathematics"
} |
0.2, -5/2?
-11
What is the second biggest value in -0.24, 4, -3, 3?
3
What is the second biggest value in -2/3, 2.8, 5, 0?
2.8
What is the smallest value in -1, -414, -1/5?
-414
What is the biggest value in 0.2, -2/375, 0.1?
0.2
What is the second smallest value in -0.2, 1, 7, -3?
-0.2
Which is the fourth biggest value... | {
"pile_set_name": "DM Mathematics"
} |
-3, -9, -5.
-9, -5, -3, -2
Sort -0.16, -2.4, -1/3 in ascending order.
-2.4, -1/3, -0.16
Sort -11, -4, 16, 9 in ascending order.
-11, -4, 9, 16
Put -13.1, 4, 3, 2 in decreasing order.
4, 3, 2, -13.1
Put 3, -4, 56, 5 in increasing order.
-4, 3, 5, 56
Put 64/3, -2, 0 in decreasing order.
64/3, 0, -2
Sort -460, -5, -1.
-4... | {
"pile_set_name": "DM Mathematics"
} |
6 + 3429. Calculate the common denominator of (0 - 82/140)/(-1) and g.
210
Find the common denominator of 25/6 and 3 + -4 + -1 + 1287/405.
90
Let r = 155832/22915 - 2/4583. Calculate the common denominator of r and -11/8.
40
Suppose -4*w = -5*d - 65, 2*w + 0*w - 2*d = 32. What is the smallest common multiple of w*(20/2... | {
"pile_set_name": "DM Mathematics"
} |
o**2 + 6*o + 9. Suppose -3*z + z - 1 = 3*c, -5*z + 10 = 5*c. Let l be p(z). Solve -g + u + 25 = -3*u, -35 = -5*g + l*u for g.
5
Let r be -2 + 7 + (4 - 5). Suppose -r*o - 184 = -0*o. Let d be (42/(-4))/(23/o). Solve x - 3*j - j = -d, -5*j = 2*x - 23 for x.
-1
Suppose -4*z = 2*w - 23 - 1, -4*w + 32 = 4*z. Solve f + 3 = -... | {
"pile_set_name": "DM Mathematics"
} |
second derivative of -229*b**4/6 - 198*b - 1. Let y(k) = 3*k. What is d(y(c))?
-4122*c**2
Let m(c) = 37*c**2 + 6*c. Let j(g) = 2*g**2 + 7*g + 42. Let h(y) = y + 6. Let v(n) = 14*h(n) - 2*j(n). Give m(v(p)).
592*p**4 - 24*p**2
Let u(q) = 29420*q + 1. Let t(z) = z. What is u(t(v))?
29420*v + 1
Let t(s) = -11*s - 25. Let ... | {
"pile_set_name": "DM Mathematics"
} |
asing order.
-2, 0.4, 5, 43
Sort -4, -22, -0.05, 4 in decreasing order.
4, -0.05, -4, -22
Put 20, 0, -1, 5, 2 in ascending order.
-1, 0, 2, 5, 20
Sort 0, 472, 2, 3 in decreasing order.
472, 3, 2, 0
Put 3/8, 38, 0.5, 2/7 in descending order.
38, 0.5, 3/8, 2/7
Put 11, -0.5, 10, 3 in increasing order.
-0.5, 3, 10, 11
Sort... | {
"pile_set_name": "DM Mathematics"
} |
y. Let q(a) = 8*d(a) - 3*z(a). Find the second derivative of q(n) wrt n.
-8
Let d(o) be the second derivative of -o**5/15 + o**4/8 - 7*o**3/6 - 3*o. Let k(m) be the second derivative of d(m). Differentiate k(s) with respect to s.
-8
Let d(j) be the first derivative of 3*j**4/2 + 2*j**3/3 + 2. What is the third derivati... | {
"pile_set_name": "DM Mathematics"
} |
f(q) = q**2 + 7*q**2 + 11*q**2. Let n(r) = -2*r. Calculate f(n(g)).
76*g**2
Let d(q) = -24*q. Let v(t) = -9*t. Give v(d(p)).
216*p
Suppose 0 = 4*n - 4, 3*m - 2*n - 7 = -0. Let z(w) = 17 - 17 - m*w + 2*w. Let a(f) = -1. Let j(p) = p + 3. Let u(k) = 3*a(k) + j(k). Give z(u(v)).
-v
Let c(g) = -g. Let a(y) be the third der... | {
"pile_set_name": "DM Mathematics"
} |
5
What is 130 minutes after 9:46 PM?
11:56 PM
How many minutes are there between 9:34 PM and 5:16 AM?
462
What is 689 minutes after 6:47 PM?
6:16 AM
How many minutes are there between 12:38 PM and 2:25 PM?
107
What is 491 minutes before 11:45 PM?
3:34 PM
What is 592 minutes after 2:24 PM?
12:16 AM
How many minutes are ... | {
"pile_set_name": "DM Mathematics"
} |
or z.
7
Solve 2*k + 5*v = 13, -15*v - 25 = -3*k - 17*v for k.
9
Solve -2*k - 2*c = 4, -5*k = 4*c - 141 + 151 for k.
-2
Solve 3*t + r + 17 = 0, 179*t - 180*t = 2*r + 4 for t.
-6
Solve 204*k - 209*k + 20 = 5*c, 4*c + 5*k - 21 = 0 for c.
-1
Solve -p = 5*y + 53163 - 53084, -2*y + p - 33 = 0 for y.
-16
Solve -5*h = -2*q + 1... | {
"pile_set_name": "DM Mathematics"
} |
) = -16*t**2 + 91*t + 31. Let u(o) = o**2. Determine r(u(l)).
-16*l**4 + 91*l**2 + 31
Let t = -355 + 357. Let d(m) be the third derivative of 0*m + 0*m**3 + 0 + m**t - 19/24*m**4. Let w(c) = -2*c**2. Give w(d(k)).
-722*k**2
Let g(s) = 20*s**2 - 1 + 1 - 19*s**2 + 0. Let c(j) = 2*j**2 - 2*j**2 + 4*j**2. What is g(c(l))?
... | {
"pile_set_name": "DM Mathematics"
} |
, -5332, -7357?
-62*u**2 - 1591*u - 1
What is the z'th term of -79, -327, -831, -1669, -2919, -4659, -6967?
-13*z**3 - 50*z**2 - 7*z - 9
What is the c'th term of -3185, -8414, -15691, -25016, -36389, -49810, -65279?
-1024*c**2 - 2157*c - 4
What is the s'th term of -37306, -36984, -36446, -35692, -34722, -33536?
108*s**... | {
"pile_set_name": "DM Mathematics"
} |
05) and 84.
420
Let b be 2 + 0 + 2 + -1. Suppose -2*r + 13 = b*c, -10 = -4*c - 2*r + 6. What is the smallest common multiple of c and ((-24)/(-72))/(1/18)?
6
Let m = -134543/18 - -7479. Find the common denominator of (-99)/110*(-9)/2 and m.
180
Let s be (-27936)/(-378) + (-6)/(-14). Let t = 1549/21 - s. Let v = -229/77... | {
"pile_set_name": "DM Mathematics"
} |
.476.
747770138.482
What is the difference between -143 and 8522.20673?
8665.20673
2765.802013+-65775
-63009.197987
What is -197920.48 - -0.2497?
-197920.2303
-4.3523+10744.18003
10739.82773
-0.3+-328151525652
-328151525652.3
Sum -1010173 and -130.74548.
-1010303.74548
Put together -5468871.1181 and 2.
-5468869.1181
Wh... | {
"pile_set_name": "DM Mathematics"
} |
: 4}. What is prob of sequence hq?
2/33
Two letters picked without replacement from {w: 2, f: 3, l: 3}. What is prob of sequence wf?
3/28
Two letters picked without replacement from {q: 5, x: 3, a: 1, s: 4}. What is prob of sequence as?
1/39
Calculate prob of sequence wwjj when four letters picked without replacement f... | {
"pile_set_name": "DM Mathematics"
} |
p, 2*p = y - 26. Let v = -21 - -29. What is the highest common factor of v and y?
8
Let j = 9 + -5. Suppose -3*b - 192 = -j*b. What is the greatest common divisor of b and 24?
24
Let g(s) = s**3 - 2*s**2 + s + 2. Let c be g(3). Suppose -z = -4*z + 63. What is the highest common factor of z and c?
7
Let l = -167 + 95. L... | {
"pile_set_name": "DM Mathematics"
} |
iple of 30 and j?
60
Suppose -4*q = 5*v - 6627, 2114 = 4*v - 2*q - 3172. Suppose 139*t - 160*t = -v. What is the smallest common multiple of t and 9?
63
Calculate the smallest common multiple of 40 and 290/8*(-1616)/(-101).
1160
Let a(t) = 91*t**2 + 2*t + 1. Let d(v) = -8*v**3 - 97*v**2 - 21*v - 94. What is the lowest ... | {
"pile_set_name": "DM Mathematics"
} |
et o = -54 - -60. Let g be x(o). Suppose -20 = 5*u, 0*u + 20 = g*k + 5*u. Calculate the remainder when k is divided by 5.
0
Let v = 316 + -355. Let y = 58 + v. What is the remainder when 586 is divided by y?
16
Let l(j) = -5*j**2 - 23*j + 14. Let w be l(-5). Calculate the remainder when ((w - 1)/(-1))/(9/(-48)) is divi... | {
"pile_set_name": "DM Mathematics"
} |
of s(-9)?
5
Let t be (-1)/6 + (-26)/(-12). Let h = t - -2. Suppose 2*x = 2*v - 0*x - 14, h*v - 5*x = 31. What is the units digit of v?
4
Let l = -25 - -27. What is the units digit of l?
2
What is the units digit of 168/36*(7 + -1)?
8
Let d(f) = f**2 - 8*f - 6. Let r be d(9). Suppose r*x - 24 + 3 = 0. What is the units ... | {
"pile_set_name": "DM Mathematics"
} |
3 (base 16) to base 12
3
-4 (base 9) to base 15
-4
Convert -10101000 (base 2) to base 16.
-a8
201 (base 3) to base 15
14
Convert -10 (base 3) to base 2.
-11
What is -2 (base 6) in base 8?
-2
What is -36 (base 7) in base 2?
-11011
6 (base 10) to base 2
110
310 (base 7) to base 8
232
What is 22 (base 3) in base 7?
11
1 ... | {
"pile_set_name": "DM Mathematics"
} |
*28. Suppose 2*o = 2*g - y, 0*o + 4*o - 3*g = -7871. Round o to the nearest 100.
-2000
Let i(a) be the second derivative of -19*a**3/6 + 3*a**2/2 - 2*a. Let c be i(5). Round c to the nearest ten.
-90
Let m = -2215.92537 - -2196.927. Let v = m - -19. What is v rounded to 4 decimal places?
0.0016
Let w = -19224.87 - -191... | {
"pile_set_name": "DM Mathematics"
} |
(4*z - 3*z + z)*(-2 + 5 - 2)*(-24*z**2 + 181*z - 181*z) in the form a*z**2 + f + b*z**3 + t*z and give b.
-50
Rearrange 29*r + 49 + 35*r - 49 to s*r + w and give s.
64
Express (-3*g - 2*g + 4*g)*((-2 + 1 + 2)*(-5*g + 1 - 1) - 2*g + g + 4*g) as c*g + w + s*g**2 and give s.
2
Rearrange 5*n + 1 - 2 - 4 + 6 to the form m ... | {
"pile_set_name": "DM Mathematics"
} |
4, 2, -3, -4
Put 1, 39, 2, 5, -2 in descending order.
39, 5, 2, 1, -2
Sort -0.014, 1/11, -2/9, -0.4 in increasing order.
-0.4, -2/9, -0.014, 1/11
Put 1, -1, -4, 6, -5/4 in ascending order.
-4, -5/4, -1, 1, 6
Put -67, -1/7, 53/4 in decreasing order.
53/4, -1/7, -67
Sort -6, 0, -12.
-12, -6, 0
Put 3/5, 145/3, -4, 4/5, 3 ... | {
"pile_set_name": "DM Mathematics"
} |
hat is the next term in -7186, -30335, -68912, -122911, -192326, -277151?
-377380
What is the next term in -364714, -729432, -1094150?
-1458868
What is next in -1535, -1755, -2347, -3497, -5391, -8215, -12155?
-17397
What is next in 80115, 160262, 240409, 320556?
400703
What is next in -2947, -6419, -9901, -13399, -169... | {
"pile_set_name": "DM Mathematics"
} |
*28/105*3
-4
Calculate 6/9*30/(-8)*-2.
5
(1/1)/(-5*3/(-45))
3
(-18)/4*4/(-6)
3
Calculate ((-9)/(-12))/((-17)/68).
-3
(-5)/(-10*14/28)
1
What is (6/(-8))/(-6*1/16)?
2
(2/(-6))/((-9)/(216/(-16)))
-1/2
What is ((-3)/1)/(((-6)/3)/(-2))?
-3
((-8)/(-12))/((-5)/3)
-2/5
Calculate (-3*(-2)/(-2))/(1092/(-104)).
2/7
Evaluate (126... | {
"pile_set_name": "DM Mathematics"
} |
2. Let z(g) be the third derivative of n(g). Let r(p) = -p. Calculate z(r(h)).
3*h
Let u(o) = -o**2. Let i(y) = -304765*y. Determine i(u(d)).
304765*d**2
Let f(r) = -10*r**2. Let o(u) be the first derivative of u**4/6 - 3*u - 5. Let y(g) be the first derivative of o(g). What is f(y(p))?
-40*p**4
Let t be 30/(-180)*(-66... | {
"pile_set_name": "DM Mathematics"
} |
= b*x(i) + 11*h(i). Determine m(-5).
9
Suppose -4*g = -12 - 4. Let t(x) = -x**2 + 3*x + 5. Determine t(g).
1
Let v(u) = u**2 + 1. Let q(y) = 2*y**2 - 3*y. Let h(i) = q(i) - v(i). Let j = 3 - 0. Give h(j).
-1
Let x = -11 - -14. Let v(b) = -x*b + 1 + 2 + 0*b. Give v(2).
-3
Let d(j) = 3*j - 7. Let i(y) = y**2 + 2*y - 3. ... | {
"pile_set_name": "DM Mathematics"
} |
11*j(o). Solve p(r) = 0 for r.
-3
Let q(u) be the second derivative of u**6/105 - 3*u**5/70 + u**4/14 - u**3/21 - 17*u. Suppose q(l) = 0. What is l?
0, 1
Let z(k) be the first derivative of 1/5*k**2 - 1/5*k**3 + 1/10*k**4 - 2*k - 1/50*k**5 + 1. Let g(f) be the first derivative of z(f). Factor g(t).
-2*(t - 1)**3/5
Dete... | {
"pile_set_name": "DM Mathematics"
} |
1?
True
Is 282157284 a multiple of 23?
True
Does 8162 divide 934951060?
False
Is 66 a factor of 50804886?
True
Is 461532078 a multiple of 15?
False
Does 13 divide 21200645?
False
Is 1986 a factor of 68590221?
False
Is 63300791 a multiple of 13?
False
Does 10 divide 35506000?
True
Is 16 a factor of 101244624?
True
Does ... | {
"pile_set_name": "DM Mathematics"
} |
less than or equal to 61266?
True
Which is bigger: 10731784 or -0.1?
10731784
Which is smaller: -129500.5 or 2/5?
-129500.5
Which is smaller: 2/7 or -50.98611?
-50.98611
Which is smaller: 0 or -4113/7811?
-4113/7811
Do -767921 and -767932 have the same value?
False
Is 119639/1607 equal to 73?
False
Which is greater: 1/... | {
"pile_set_name": "DM Mathematics"
} |
-0.1?
-442
What is the third biggest value in -1/3, 0.2, 0.26, -2/31?
-2/31
What is the third biggest value in -0.5, 5/4, 104, -37?
-0.5
Which is the fifth smallest value? (a) 1 (b) -7 (c) 2/7 (d) -1 (e) 3 (f) -7282
a
What is the biggest value in -2/9, 382, 13/2?
382
What is the fourth biggest value in -4, -2/13... | {
"pile_set_name": "DM Mathematics"
} |
l**2 + 96*l + 269. Let v be z(-3). Let m(h) = -h**2 - 51*h - 236. Give m(v).
-6
Let d(h) be the third derivative of 0 - 54*h**2 + 1/6*h**4 + 7/3*h**3 + 0*h. Determine d(-6).
-10
Let c(g) = 434 - 435 - 7*g**2 - 5*g**2. Let f be c(-1). Let a(n) = -n**3 - 12*n**2 + 14*n + 13. What is a(f)?
0
Let k(j) = j - 5. Let f(v) = -... | {
"pile_set_name": "DM Mathematics"
} |
1161, 1525, 1877, 2217?
-6*h**2 + 406*h - 3
What is the x'th term of -182, -266, -334, -380, -398?
x**3 + 2*x**2 - 97*x - 88
What is the p'th term of -1015, -1179, -1343, -1507?
-164*p - 851
What is the m'th term of 50974, 101945, 152916, 203887, 254858?
50971*m + 3
What is the j'th term of -10962, -10999, -11026, -110... | {
"pile_set_name": "DM Mathematics"
} |
e
Is 83813 composite?
False
Is 27865 a prime number?
False
Is 6047 a prime number?
True
Is 10265 a prime number?
False
Is 21863 a prime number?
True
Is 74234 a prime number?
False
Is 9353 a composite number?
True
Is 53299 prime?
True
Is 34249 a composite number?
True
Is 5447 prime?
False
Is 69973 prime?
False
Is 90787 ... | {
"pile_set_name": "DM Mathematics"
} |
*n + 13 - 6 - 6. Let j = -2 + 2. Suppose 2*m - 8 = -2*q, j*q = -2*q + 10. Let w(o) = 7*o + 4. What is m*w(p) + 6*s(p)?
-p + 2
Let x(o) = -o + 1. Let s(w) = -w**3 + 2*w**2 - w - 2. Let u(d) = -4*d**2 - 79*d - 56. Let v be u(-19). Calculate v*s(m) - x(m).
-m**3 + 2*m**2 - 3
Let u(l) = -l**2 - 3*l - 5. Let z(b) = -6 - 57*... | {
"pile_set_name": "DM Mathematics"
} |
-0.0000011619 rounded to seven dps?
-0.0000012
Round -0.004162 to three dps.
-0.004
What is 0.6 rounded to the nearest ten?
0
Round 0.0408 to three dps.
0.041
What is 693 rounded to the nearest 10?
690
Round -67800 to the nearest 1000.
-68000
Round -0.006313 to four dps.
-0.0063
What is 14906800 rounded to the nearest ... | {
"pile_set_name": "DM Mathematics"
} |
4:09 PM and 1:52 AM?
583
How many minutes are there between 12:25 AM and 12:14 PM?
709
What is 419 minutes after 11:37 PM?
6:36 AM
How many minutes are there between 4:22 PM and 2:47 AM?
625
What is 156 minutes after 5:44 AM?
8:20 AM
How many minutes are there between 9:27 AM and 10:15 AM?
48
How many minutes are there... | {
"pile_set_name": "DM Mathematics"
} |
, 3062, 4634, 6264, 7970, 9770, 11682?
3*d**3 + 2*d**2 + 1505*d + 20
What is the k'th term of -9673756, -9673758, -9673760, -9673762?
-2*k - 9673754
What is the u'th term of 169, 657, 1465, 2593?
160*u**2 + 8*u + 1
What is the m'th term of 3583, 7169, 10755, 14341, 17927?
3586*m - 3
What is the x'th term of -9713, -193... | {
"pile_set_name": "DM Mathematics"
} |
000
What is the lowest common multiple of 160 and 3596760?
14387040
Calculate the common denominator of -179/966 and -11/8157.
2626554
What is the least common multiple of 80 and 1725548?
34510960
Calculate the least common multiple of 84740397 and 169608.
677923176
What is the least common multiple of 318 and 437462?
... | {
"pile_set_name": "DM Mathematics"
} |
Factor w(r).
(r - 1)**2*(r + 4)**2
Let k(v) be the second derivative of -v**5/240 + v**4/24 - v**3/6 - v**2 + 2*v. Let t(b) be the first derivative of k(b). Let t(c) = 0. Calculate c.
2
Factor 1/3*v**3 - 2/3*v**2 + 1/3*v + 0.
v*(v - 1)**2/3
Let c(m) be the third derivative of -1/6*m**3 + m**2 + 0 + 1/1080*m**6 + 1/360*... | {
"pile_set_name": "DM Mathematics"
} |
et q be w(-7). Let t = q + -11. Sort t, 3, 4 in increasing order.
t, 3, 4
Suppose -2*z + 24 = 4*l - 0*z, -2*l + z = -4. Suppose 0*k - 12 = l*k. Let p = -456 + 459. Sort p, k, 0 in descending order.
p, 0, k
Suppose 0 = 3*g + 4*v + 7 + 3, 4*g - 3*v = -55. Let d be 666/g + (-3 - -2). Let i = d + 68. Sort 1/4, -4, i in dec... | {
"pile_set_name": "DM Mathematics"
} |
8 = 0. List the prime factors of 9/x + 7 + 0.
2, 5
Let p = 3 - 1. Suppose 0 = p*r + 2*r - 84. Suppose 5*z + n - r = 0, 2*z + 2 = 3*n + 7. List the prime factors of z.
2
Let y = -32 + 116. List the prime factors of y.
2, 3, 7
Let a(i) = -i + 1. Let y be a(-2). What are the prime factors of 40 + (-3)/y + 0?
3, 13
Let b(i... | {
"pile_set_name": "DM Mathematics"
} |
b) -0.2 (c) -25 (d) 1/6 (e) -5 (f) 32 (g) 0.2
d
What is the third biggest value in 4/5, 0.101, 0.1, 9/886?
0.1
What is the fourth biggest value in 2, 8, -1/17, -5.224?
-5.224
What is the second biggest value in 3/4, -61/2, 71, -1, 4028?
71
What is the fifth smallest value in -13, -30, -11, -10, 0?
0
What is the th... | {
"pile_set_name": "DM Mathematics"
} |
replacement from {o: 3, d: 3, v: 2, s: 2, y: 1, j: 1}. What is prob of sequence oyjv?
1/1980
Two letters picked without replacement from {j: 4, o: 2}. Give prob of sequence jo.
4/15
Two letters picked without replacement from ccyyyycyyyy. Give prob of sequence yy.
28/55
Three letters picked without replacement from {y... | {
"pile_set_name": "DM Mathematics"
} |
0.
-3, 1
Suppose 3*p**3/2 - 9*p**2/2 + 3*p = 0. What is p?
0, 1, 2
Find r such that 4*r**3/3 + 104*r**2/3 + 556*r/3 + 152 = 0.
-19, -6, -1
Factor -2*g**2 + 32*g - 78.
-2*(g - 13)*(g - 3)
Let -5*u**3/3 - 35*u**2/3 - 80*u/3 - 20 = 0. Calculate u.
-3, -2
Factor -2*n**2 + 10*n - 12.
-2*(n - 3)*(n - 2)
Solve 5*w**5/3 + 49*w... | {
"pile_set_name": "DM Mathematics"
} |
-100111001001011101 (base 2) to base 14.
-42617
What is -144380 (base 9) in base 8?
-254714
What is 78c0 (base 16) in base 5?
1442122
What is -50070 (base 13) in base 5?
-14033041
Convert -3854549 (base 11) to base 6.
-355120250
213368 (base 9) to base 5
13032101
250345313 (base 6) to base 10
4788621
What is 471148 (b... | {
"pile_set_name": "DM Mathematics"
} |
-5*y, 4*t - 39 = 2*y + y. Let x(u) = u + 8 + 8*u**2 - 4 - u**3 + 8*u**2 + 0. Calculate the lowest common multiple of t and x(16).
60
Let k be (-765)/(-256) - (-9 - -12). Let m = -3791/1280 - k. What is the common denominator of 5/18 and m?
180
Let d(p) = -8*p - 22. What is the lowest common multiple of d(-4) and 8?
40... | {
"pile_set_name": "DM Mathematics"
} |
?
-1000
Let j(b) be the first derivative of 36875*b**2 + 1. Suppose 3*m + 22 = 3*t - 8, -34 = 5*m + 3*t. Let y be j(m). What is y rounded to the nearest 100000?
-600000
Let j = 1 - 7. Let s = 7 + j. Let d = -1.000006 + s. Round d to five dps.
-0.00001
Let q = -0.6209 - 0.1101. Round q to one dp.
-0.7
Suppose 5*m + 1738... | {
"pile_set_name": "DM Mathematics"
} |
n divisor of b and 2709.
9
Let s(c) = -56*c + 2453. Let p be s(35). What is the greatest common factor of p and 29?
29
Let s be -83 - -74 - (-665)/1. Suppose 4*k - 58 = 106. What is the highest common factor of s and k?
41
Let x be (-7)/49 + 338/14. Suppose -4*n - 5 + 13 = 0. Suppose -8 = n*c - 20. What is the greatest... | {
"pile_set_name": "DM Mathematics"
} |
nds digit of 613273?
1
What is the ten thousands digit of 1725727?
2
What is the hundred thousands digit of 286897?
2
What is the thousands digit of 2627863?
7
What is the hundred thousands digit of 2278028?
2
What is the tens digit of 11791456?
5
What is the tens digit of 4217362?
6
What is the hundred thousands digit... | {
"pile_set_name": "DM Mathematics"
} |
fy (y*y**(-2/5)/y*y*((y/y**(1/12))/y)/y)**(1/19)/((y/y**(-2/5)*y**(-1/7)*y*y)/(y*y**(-6)*y**(-7/5))) assuming y is positive.
y**(-77267/7980)
Simplify n**(-3/5)*n/(n*n*n**(4/7))*n*n**4*n*n/n**(3/2)*n*n**7*(n*n**(2/15))/n*n/(n*n**(1/11))*n/(n**(-2)/n) assuming n is positive.
n**(35507/2310)
Simplify (j*(j/(j*j**(-6/25))... | {
"pile_set_name": "DM Mathematics"
} |
n factor of 1556 and 25504396.
1556
Calculate the highest common divisor of 7095 and 10792785.
645
What is the highest common factor of 3363199 and 2337746?
7171
What is the highest common factor of 355248834 and 1506?
1506
Calculate the highest common factor of 20676 and 11064.
12
What is the highest common divisor of... | {
"pile_set_name": "DM Mathematics"
} |
alculate the highest common divisor of 155 and 95.
5
What is the greatest common divisor of 484280 and 140?
20
Calculate the greatest common factor of 108 and 17136.
36
What is the highest common factor of 6107 and 3546?
197
What is the greatest common factor of 5775 and 30?
15
Calculate the highest common factor of 13... | {
"pile_set_name": "DM Mathematics"
} |
**2 + (-5 + sqrt(176) - (1*sqrt(1100))**2).
-441989/400 + 4*sqrt(11)
Simplify 2 + (sqrt(726) + sqrt(726)*3 + sqrt(726))/sqrt(3).
2 + 55*sqrt(2)
Simplify (sqrt(2) - (-1*sqrt(24))/sqrt(12)) + -3.
-3 + 2*sqrt(2)
Simplify -2*(1 + sqrt(38)/sqrt(2))*-1*6.
12 + 12*sqrt(19)
Simplify (0 + -2*sqrt(1700) + sqrt(1700) + sqrt(1700)... | {
"pile_set_name": "DM Mathematics"
} |
/(-2). Let n = 0.2 - 0.1. What is the third smallest value in -0.2, b, n?
n
Let d = -371/330 - -16/55. What is the biggest value in d, 3, 4?
4
Let w = 148.1 - 148. Let r = 2 - 1. Let i = r - 2. What is the third biggest value in i, 4, w?
i
Let n = -7.031 + 0.031. What is the second smallest value in 8, -2/11, n?
-2/11
... | {
"pile_set_name": "DM Mathematics"
} |
= -298*z - 214*z + 19440 for z.
72
Solve 1983*a - 69092 = 481*a for a.
46
Solve -20529*y = -20515*y + 224 for y.
-16
Solve -30420 = 2311009*p - 2311516*p for p.
60
Solve 17*k + 197 + 92 + 1088 = -255 for k.
-96
Solve -576*t - 324*t + 211*t = -16536 for t.
24
Solve -92*h + 3076 + 3414 = 96*h - 70*h for h.
55
Solve 24*n... | {
"pile_set_name": "DM Mathematics"
} |
What is one quarter of a millimeter in micrometers?
250
What is 3700412.1s in hours?
1027.89225
What is 561525.3 months in centuries?
467.93775
Convert 900027.3 hours to nanoseconds.
3240098280000000000
How many microseconds are there in 51/2 of a millisecond?
25500
How many minutes are there in 13964.577 milliseconds?... | {
"pile_set_name": "DM Mathematics"
} |
+ -3 + 0.
-12
Calculate 13 + (-17 + 7 + 4 - (28 + -8)).
-13
What is (131 - 73) + -4 + -46?
8
What is the value of 3 + -17 + (6 - 0) - (-22 + 0 - -1)?
13
Evaluate -36 - -121 - (203 - 42).
-76
What is -63 - (-25 + 64 - 44)?
-58
(-23 - -30 - (7 - ((7 - 10) + -9))) + 19
7
-4 + 40 - (-98 - -91)
43
Evaluate 4 + 9 + -1 + (7 ... | {
"pile_set_name": "DM Mathematics"
} |
e the lowest common multiple of 300 and 405.
8100
Calculate the common denominator of 77/15 and 53/27.
135
What is the common denominator of -5/32 and -79/7712?
7712
What is the common denominator of 86/957 and 127/696?
7656
What is the lowest common multiple of 171 and 2?
342
Calculate the lowest common multiple of 5 ... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*i, 0 = -5*m + 2*i + 20 for m.
2
Solve -14 = -4*v - 3*t, -v + 13*t - 11*t = 2 for v.
2
Solve 3*r + 30*k - 29*k = 11, -8 = 2*k for r.
5
Solve 17*c = 3*d + 13*c + 14, 2*d = -2*c + 14 for d.
2
Solve 4*s = 5*f + 5, -3*f + s = -4*s + 3 for f.
-1
Solve 5*d - 3*a = -25, -4*d = 7*a - 4*a - 7 for d.
-2
Solve 4*n = 4*u, 2 + 0... | {
"pile_set_name": "DM Mathematics"
} |
lest common multiple of 586470/1243 - 4/(-22) and 88?
5192
Let h be -19*((8 - 1) + -2). Let i = h - -111. Suppose 2*f + 2*f - 3*l - 72 = 0, 3*f + 3*l = 54. What is the smallest common multiple of i and f?
144
Suppose 9 = -4*q + 3*h, -5*q - 9 = -h - 2*h. Suppose 4*g + 5*s - 138 - 208 = 0, q = 5*g - 2*s - 416. Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
-2)?
-39
Evaluate (-50)/(-20)*264/(-990)*(28 + 5).
-22
What is 21/(-112) - 123475/(-7184)?
17
Calculate (5688/(-252) - -26)/((-9)/(-189)*12/20).
120
Evaluate 2074/1281*-21 - 9.
-43
What is (-75)/30*(-312)/(-30)?
-26
What is ((-77340)/20624)/(2/20*(-6)/8)?
50
Evaluate 6342/42 - 81 - (10 + (-2 - 2)).
64
Calculate ((-2011... | {
"pile_set_name": "DM Mathematics"
} |
ctor of 50 and l.
10
Suppose 2*k - 3*q = 171, -3*k - 2*q - 86 = -4*k. Let s be k/(-35)*(-2 + -3). Let w = 216 + -132. Calculate the greatest common factor of s and w.
12
Suppose -q + 4*q - 72 = 0. Suppose s = 4*m - 2*m - 20, -2*s + m - 25 = 0. Let b = q + s. What is the greatest common divisor of 7 and b?
7
Let d(g) = ... | {
"pile_set_name": "DM Mathematics"
} |
False
Suppose 3*x - 206 = 64. Suppose -m = -6*m - x. Is (-1642)/m - (-2)/(-9) prime?
False
Is (201880/44 - 5) + (-2)/11 composite?
False
Let q = 275 + 290. Suppose -2*r = -3*r + q. Suppose 6*c - r = c. Is c a prime number?
True
Let c(u) = -10*u + 1. Is c(-3) a prime number?
True
Let b = 794 + -508. Suppose b = 4*j - 4... | {
"pile_set_name": "DM Mathematics"
} |
4. Solve 4 = -k*f + c*f for f.
1
Let u = -16 - -18. Solve -u*q - 5 = -1 for q.
-2
Let z be ((-2)/2 - -1) + 7. Let i be 2/7 + 54/z. Solve -5*f = -f - i for f.
2
Suppose 0 = -4*a + 3*v + 20, -3*v = -2*v + 4. Solve -3*y - a*y - 5 = 0 for y.
-1
Suppose 33 = 2*l + t, -2*l + 5*t - 3*t + 18 = 0. Solve -l = 5*v + 11 for v.
-5
... | {
"pile_set_name": "DM Mathematics"
} |
7. Calculate k(-9).
0
Let t(b) = -b**2 - 9*b - 3. Calculate t(-9).
-3
Let x(d) = -21*d + 4. Determine x(1).
-17
Let a(k) = k**3 + 20*k**2 - 22*k + 7. Determine a(-21).
28
Let s(p) = p**3 - p**2 + p + 2. Determine s(-2).
-12
Let s(n) = 22*n - 411. Determine s(20).
29
Let c(z) = z**2 + 5*z + 12. What is c(-8)?
36
Let f(d... | {
"pile_set_name": "DM Mathematics"
} |
hest common factor of 1102 and 89177494.
58
Calculate the highest common divisor of 17051 and 1577129.
59
What is the greatest common divisor of 27020 and 74992080?
3860
What is the greatest common divisor of 339696824 and 752?
376
What is the highest common divisor of 238 and 2000164138?
238
What is the greatest commo... | {
"pile_set_name": "DM Mathematics"
} |
+ (-1 - -1))*1/(-3). Let y(w) = 2*w - 6. Calculate y(h).
-6
Let w(g) = -2*g**2 - 5*g + 12. Suppose 4*y + 16 - 6 = 5*m, 0 = 4*m - 5*y + 1. Let l(d) = d**2 + 3*d - 6. Let p(k) = m*w(k) + 11*l(k). Determine p(6).
-12
Let g(p) = -3 - 1 + 6 + 6*p**2 - 4 + p**3. Let n = 15 + -21. Give g(n).
-2
Let a(c) = 3*c + 1. Let q(l) =... | {
"pile_set_name": "DM Mathematics"
} |
e 8*w - 3*w - d = 0. Is w composite?
True
Let i(s) = 2*s**2 - 8*s + 4. Let b be (-23)/(-5) + (-8)/(-20). Let n be i(b). Is (4 + -1)*n/2 prime?
False
Suppose 0 = 10*w - 5*w - 1445. Is w prime?
False
Let y = 2558 + -1234. Suppose 5*l + y = 9*l. Is l composite?
False
Let c = 22 - 0. Is c a composite number?
True
Let s = -... | {
"pile_set_name": "DM Mathematics"
} |
-6). Suppose -341 = -6*p - y. Calculate the highest common divisor of p and 2.
1
Let a = 99 - 233. Let z = 50 - a. Calculate the highest common divisor of z and 23.
23
Let h(i) = -i**3 - 7*i**2 + 19*i + 17. Let v be h(-9). Suppose -y - v = -34. Let t = 20 - -6. Calculate the highest common factor of t and y.
26
Let q b... | {
"pile_set_name": "DM Mathematics"
} |
- 11
Simplify (sqrt(24)/sqrt(2)*-6)/sqrt(4) + (sqrt(54)/sqrt(3)*-3)/sqrt(6).
-9*sqrt(3)
Simplify -4*(sqrt(38) - (-6*(sqrt(38) - (sqrt(152)/sqrt(4) + sqrt(38))) - sqrt(38)))/(-2*sqrt(200))*-2.
8*sqrt(19)/5
Simplify ((3*sqrt(168)/sqrt(3))/(sqrt(4)/(sqrt(20)/sqrt(160) - sqrt(2))))**2.
567/4
Simplify (2*(sqrt(66) - sqrt(6... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(25) + sqrt(25))/(2*sqrt(80)).
sqrt(5)/4 + 2
Simplify (((sqrt(189) - (sqrt(189) + (6*sqrt(189) - sqrt(189)))) + sqrt(189))/sqrt(9))/sqrt(7).
-4*sqrt(3)
Simplify (2 + sqrt(1300))*-6.
-60*sqrt(13) - 12
Simplify ((sqrt(121) + (sqrt(121) + 2*sqrt(121))*-4 - sqrt(121))/sqrt(11) - (3 + sqrt(891) + -1))**2.
84*sqrt(11) +... | {
"pile_set_name": "DM Mathematics"
} |
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