text stringlengths 270 8.19k | meta dict |
|---|---|
9)/d**(2/5)*d**(-4/3)/(d/(d*d*d**(7/5)*d)))**(-1/24) assuming d is positive.
d**(11/36)
Simplify (o**(-26/7)/o**32*o*o**(-13/3)*((o*o**(1/3))/o)/o)**(5/3) assuming o is positive.
o**(-1390/21)
Simplify ((f/(f*f**(-1)/f))/f**(-1/3)*f**(2/11)*f/f**(4/7))/((f*f/(((f/f**(-4))/f)/f))/f**(-6)*f**3*f**(-3)) assuming f is posi... | {
"pile_set_name": "DM Mathematics"
} |
2*y - 54. What is the remainder when 2272 is divided by y?
4
Suppose -t + 4*a + 289 = 30, -5*a + 1015 = 4*t. Calculate the remainder when t is divided by 46.
25
Let u = 16800 - -4549. What is the remainder when u is divided by 68?
65
Suppose 0 = -5*u - 5*q - 15, 57 = 40*u - 35*u - 4*q. What is the remainder when 180 is... | {
"pile_set_name": "DM Mathematics"
} |
of 32760 and 28924560?
376019280
What is the common denominator of 46/207123 and -10/10551?
728451591
What is the lowest common multiple of 3467325 and 100?
13869300
What is the least common multiple of 7784 and 226870?
126139720
What is the least common multiple of 462088 and 26789?
139088488
What is the smallest comm... | {
"pile_set_name": "DM Mathematics"
} |
pose -x = -u - 4. Calculate the lowest common multiple of u and 4.
28
Let h = 7 - 7. Suppose -25 = -s + 3*k, h*k + k + 83 = 5*s. What is the least common multiple of 8 and s?
16
Suppose -3*a + 0 + 9 = 0. Calculate the lowest common multiple of 7 and a.
21
Let o = 32653/20 + -1636. Find the common denominator of 1/2 and... | {
"pile_set_name": "DM Mathematics"
} |
of 105 and 754909449?
21
What is the greatest common factor of 148069 and 42788?
563
What is the greatest common factor of 6566 and 5503246?
938
What is the greatest common divisor of 12536152 and 186?
62
What is the greatest common factor of 875098 and 154?
14
What is the highest common factor of 18 and 33901860?
6
W... | {
"pile_set_name": "DM Mathematics"
} |
?
15
Calculate (-5 - -6 - 7) + 0 + -3 + 22.
13
6 + (25 - 30 - 14)
-13
What is the value of 1 + (13 - 3) - 12?
-1
What is the value of -413 + 409 - (1 - -16)?
-21
What is 12 + 9 + -7 + -16 + -10?
-12
Evaluate -1 - -29 - (-37 + -34 + 64).
35
What is 9 + (-2 - (-14 - -8)) + -8?
5
Calculate (-89 - -94) + (2 + -3 - (9 - 6))... | {
"pile_set_name": "DM Mathematics"
} |
-46*x - 14. Let n = -72 - -58. Does 35 divide f(n)?
True
Let g(l) be the first derivative of l**4/4 + 13*l**3/3 + 9*l**2/2 + 67*l + 77. Does 15 divide g(-11)?
True
Does 15 divide 30/10*(-202155)/(-15)?
False
Let u = -103 - -91. Let m = u - -28. Is 2/(-4)*2 + m + 1 a multiple of 2?
True
Suppose 47*j - 104167 = 42*j + r,... | {
"pile_set_name": "DM Mathematics"
} |
nd derivative of c**3/6 + 3*c**2/2 - 2*c. Let g = -4339 + 4335. Let f(w) = 4. Suppose 4 - 1 = l. What is g*q(v) + l*f(v)?
-4*v
Let m(r) = 15*r + 1. Let n(z) = 97*z + 6. Give -5*m(g) + n(g).
22*g + 1
Let f(i) = -7*i - 3. Suppose 0 = 3*l + 2*r - 5*r - 129, 5 = r. Let m be 5/((-2)/((-96)/20)). Suppose 4*h + l = -m*h. Let ... | {
"pile_set_name": "DM Mathematics"
} |
e?
625
What is 0.6899969l in millilitres?
689.9969
How many centimeters are there in 11/2 of a meter?
550
What is one sixteenth of a kilometer in centimeters?
6250
What is 4513.16754 minutes in weeks?
0.447734875
What is 21/4 of a week in minutes?
52920
Convert 0.5158962ug to milligrams.
0.0005158962
Convert 2.222751 m... | {
"pile_set_name": "DM Mathematics"
} |
0.37, 11 in ascending order.
-5, 0.07, 0.37, 0.5, 3, 11
Sort -10, -3, -29, -2, 2 in descending order.
2, -2, -3, -10, -29
Sort -3, 23896, -29.
-29, -3, 23896
Sort 8, 5, -1531 in ascending order.
-1531, 5, 8
Sort 0, 2/5, -2161 in descending order.
2/5, 0, -2161
Sort 4, 6, -1425, 3, -1.
-1425, -1, 3, 4, 6
Sort -244, 0, -... | {
"pile_set_name": "DM Mathematics"
} |
75000
What is 17/2 of a kilogram in grams?
8500
Convert 611.3589 kilograms to grams.
611358.9
Convert 802.7235t to kilograms.
802723.5
How many months are there in thirteen fifths of a century?
3120
Convert 61.26136 millilitres to litres.
0.06126136
How many nanometers are there in 0.2923934 centimeters?
2923934
Conver... | {
"pile_set_name": "DM Mathematics"
} |
(a) g (b) 1/5 (c) u
a
Let l = 1 + -1. Let o = -3.414 - -3.4. Let x = o + 0.214. Which is the nearest to l? (a) -3 (b) x (c) -0.5
b
Let h = -288 + 291. What is the closest to -1 in 0.5, h, -0.1?
-0.1
Let p = -0.1 + 3.1. Let f = -3.19 + p. Let d = f - -0.09. Which is the closest to -2? (a) -1 (b) d (c) 0.4
a
Let ... | {
"pile_set_name": "DM Mathematics"
} |
vg when four letters picked without replacement from ggggggggvgggvgvvgg?
91/765
Four letters picked without replacement from sfufssskkkskffkkks. Give prob of sequence sfks.
7/612
What is prob of sequence fnf when three letters picked without replacement from nvtcfcfn?
1/84
Two letters picked without replacement from {j... | {
"pile_set_name": "DM Mathematics"
} |
the x'th term of 163, 403, 641, 877, 1111, 1343, 1573?
-x**2 + 243*x - 79
What is the j'th term of 217, 227, 241, 259, 281, 307, 337?
2*j**2 + 4*j + 211
What is the r'th term of -611, -1300, -2139, -3206, -4579, -6336?
-13*r**3 + 3*r**2 - 607*r + 6
What is the i'th term of 2, 27, 114, 299, 618, 1107, 1802, 2739?
6*i**3... | {
"pile_set_name": "DM Mathematics"
} |
1)/9
Let g = -77 - -81. Let 1/3*n**2 - 1/3*n**3 + 0 + 1/3*n - 1/3*n**g = 0. Calculate n.
-1, 0, 1
Let a(x) be the third derivative of 9*x**6/40 + 7*x**5/5 + 21*x**4/8 + x**3 + 5*x**2 - x. Determine r so that a(r) = 0.
-2, -1, -1/9
Let i be 46/(-161) + 68/42. Factor -i*p**2 - 7/6*p + 1/6*p**5 - 1/3 + 1/3*p**4 - 1/3*p**3... | {
"pile_set_name": "DM Mathematics"
} |
08 to the nearest integer?
75
What is 10520 to the power of 1/3, to the nearest integer?
22
What is 1770685 to the power of 1/3, to the nearest integer?
121
What is 276515 to the power of 1/10, to the nearest integer?
4
What is the cube root of 41857 to the nearest integer?
35
What is 483359 to the power of 1/2, to the... | {
"pile_set_name": "DM Mathematics"
} |
divided by 23.
21
Let q = 46 - -44. What is the remainder when q is divided by 14?
6
Let i be 1 + (1 + 3 - 33). What is the remainder when 17 is divided by (21/i)/(6/(-40))?
2
Let z(m) = -23*m + 3. Let v be z(3). Let u be v/(-14) + 16/56. Suppose u*o = 256 + 129. What is the remainder when o is divided by 20?
17
Let i... | {
"pile_set_name": "DM Mathematics"
} |
3749?
5174
What is the next term in 14400, 57519, 129360, 229905, 359136, 517035, 703584?
918765
What is the next term in 5108, 8082, 11018, 13898, 16704, 19418, 22022?
24498
What comes next: 264323145, 528646291, 792969437, 1057292583, 1321615729, 1585938875?
1850262021
What comes next: 27568, 27059, 25684, 23011, 186... | {
"pile_set_name": "DM Mathematics"
} |
3.
5*(d + 1)*(d + 5153)/3
Solve 4*a**2 + 5092*a - 77280 = 0.
-1288, 15
Find x such that -5*x**4/4 - 1665*x**3/4 + 82635*x**2/4 - 915515*x/4 - 499905/2 = 0.
-378, -1, 23
Factor -5*r**2 - 880*r - 24675.
-5*(r + 35)*(r + 141)
Factor m**2 + 258924*m + 16760409444.
(m + 129462)**2
Solve 5*b**3 + 1775*b**2 + 15660*b + 31140 ... | {
"pile_set_name": "DM Mathematics"
} |
c
Let c(z) = z - 15. Suppose 0 = 4*q + 5*s - 244, 3*q + 0*q - 160 = 2*s. Suppose 4*p = 8*p - q. Let m be c(p). Are 2/17 and m equal?
False
Suppose 12*u = -u - 13. Let y be ((-2092)/700 + 3)/u. Is -1 > y?
False
Let x = 0.315 - 0.26. Let g = -2.555 + x. Is -0.1 bigger than g?
True
Let l = 2 - -2. Let z(g) = g - 3. Let h... | {
"pile_set_name": "DM Mathematics"
} |
942 - 31726. Suppose 0 = 2*c + b - 55616. Round c to the nearest 10000.
20000
Let k = -547875 - -547877.19943. Let m = 26.2 - 24. Let d = m - k. Round d to four decimal places.
0.0006
Let q = 1.0176842 - 22.0176772. Let f = q + 21. What is f rounded to 5 decimal places?
0.00001
Let n = 58.623 + -58.9. What is n rounded... | {
"pile_set_name": "DM Mathematics"
} |
= -8*n. Solve 0 = n*u - s + 3 - k, 3*u + 3*s = 21 for u.
3
Let j = 5374 - 5364. Solve o - 2*r + 2 = 0, o - 8*r + j*r + 6 = 0 for o.
-4
Let h(n) = 5*n - 28. Let v be h(6). Suppose 2*j + 8 = 0, -4*x + x = v*j - 7. Solve x*q - 13 = 3*t + q, -2*t - 10 = -3*q for t.
1
Let b = 166 - 162. Suppose -s - 15 = -b*d, 6*s = 3*d + ... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 10*f + 9. Let u(a) = 7*a**3 - 2*a**2 + 2*a. Let g be u(1). Calculate t(g).
-12
Let g = 6 - 3. Suppose 5*c - 115 = -4*t - 30, -t + 30 = g*c. Let x(p) = -10 + 0*p**2 + p**3 - 6*p**2 + t. Calculate x(6).
5
Let z(c) be the third derivative of -c**4/24 - c**3/6 + 3*c**2. Let n(k) be the second derivative of k**3/6 + 2*... | {
"pile_set_name": "DM Mathematics"
} |
three letters picked without replacement from {h: 4, t: 3, v: 6, w: 2, r: 1, i: 3}.
1/969
Two letters picked without replacement from {p: 3, q: 1}. Give prob of sequence pp.
1/2
What is prob of sequence ur when two letters picked without replacement from jzdrdzddzdrzuzdu?
1/60
Four letters picked without replacement f... | {
"pile_set_name": "DM Mathematics"
} |
4)/(sqrt(12)/sqrt(2))))**2.
11881/6336
Simplify ((sqrt(17) - sqrt(34)/sqrt(2) - sqrt(17))*-2 + (sqrt(1377) + 1 + sqrt(17))**2)*-5 - ((sqrt(17)*-2*4)**2 + 2*(sqrt(51)/sqrt(3) - sqrt(17)))*-3.
-5241 - 110*sqrt(17)
Simplify ((5*(sqrt(10) + (sqrt(360) - -2*sqrt(360))))/(2*(sqrt(80) - sqrt(5))*3) + 2)**2.
190*sqrt(2)/9 + 96... | {
"pile_set_name": "DM Mathematics"
} |
t b(c) = 703*c**2 - 133*c + 133. Let m(a) = -13*a - 9*a**2 - 2*a - 3 - 7*a**2 + 18*a. Give -3*b(k) - 133*m(k).
19*k**2
Let t(r) = -35*r + 1. Let g(w) = 116*w - 5. Let n(h) = -4*g(h) - 14*t(h). Let o(b) = -728*b - 169. Calculate -169*n(v) - 6*o(v).
-26*v
Let m(g) = -17*g + 4. Let o(p) = -108 + 34*p + 321 - 110 - 110. Wh... | {
"pile_set_name": "DM Mathematics"
} |
n 6.529153mm?
0.6529153
How many months are there in 65.68831 centuries?
78825.972
What is 4/75 of a minute in milliseconds?
3200
How many kilograms are there in 8460.704ng?
0.000000008460704
What is 45/8 of a litre in millilitres?
5625
What is thirteen quarters of a millisecond in microseconds?
3250
Convert 0.9472341 ... | {
"pile_set_name": "DM Mathematics"
} |
decimal places.
-0.000007
Let t = 131.67 + -710.46. Round t to the nearest 100.
-600
Suppose 0 = -4*a - 3*u + 16, -2*a + u - 4*u + 8 = 0. Let s = 22 + a. Suppose 21*g + 2000 = s*g. What is g rounded to the nearest 100?
400
Let t = -3853.07 + 3650. Round t to the nearest ten.
-200
Let b = 2 - -10.6. Let n = 58502641 + ... | {
"pile_set_name": "DM Mathematics"
} |
8 - 88 - 2*m**3 + 34*m.
-2*m**3 + 34*m
Collect the terms in -8*m**2 - 3*m**2 + 9*m**2.
-2*m**2
Collect the terms in -17190 - 2*m**2 + 17190.
-2*m**2
Collect the terms in -3 + 3 - 41*x + 2*x + 40*x.
x
Collect the terms in -298*v + 86*v - 627*v.
-839*v
Collect the terms in -20*q**2 - 4*q**2 + 11*q**2.
-13*q**2
Collect th... | {
"pile_set_name": "DM Mathematics"
} |
3*b - 5*b**2. Calculate -6*g(l) - 5*t(l).
-5*l**2
Let i(o) = 14*o**3 + o - 3. Let v(j) = 14*j**3 + j - 2. Give -2*i(c) + 3*v(c).
14*c**3 + c
Let s(k) = -21*k + 7 + 14*k - 1 + 8*k. Let r(i) = 5. Give -5*r(u) + 4*s(u).
4*u - 1
Let z(x) = -x**2 + x. Let i = 3 - -2. Let h(b) = -3*b**2 + 0*b**2 + i*b - b**2. Let l(q) = -q**... | {
"pile_set_name": "DM Mathematics"
} |
-59/156 and 71/5466.
142116
Calculate the least common multiple of 27968 and 2584.
475456
Calculate the common denominator of 37/96165 and -31/11.
1057815
Calculate the smallest common multiple of 42 and 33.
462
What is the lowest common multiple of 40394 and 9?
363546
Find the common denominator of 24/37807 and -39/31... | {
"pile_set_name": "DM Mathematics"
} |
k**3 + m*k**4 + w*k**2 + h*k and give j.
1
Rearrange i - 418*i**3 - 710755 + 710755 to the form g*i**2 + d*i**3 + s + x*i and give d.
-418
Express (740 + 489 + 2181 - 549 + 6129)*(o**2 - o**2 + 2*o**2 + (-o - o + 6*o)*(-2 + 2*o + 2)) in the form h + k*o + y*o**2 and give y.
89900
Rearrange 41*p - 1487 - 4*p**2 - 106*p ... | {
"pile_set_name": "DM Mathematics"
} |
et t(l) = 3*l. Let g(d) = 2*b(d) - 5*t(d). Let h be g(0). Let j be 1/(-4)*h*-8. Put -3, j, 1 in ascending order.
-3, 1, j
Let p be -1 + (-3 - (1 - 3)). Let q be p/9 + 8/36. Sort -5, q, 2 in decreasing order.
2, q, -5
Suppose 3*t = k + 9, 0*k - 4*k + 3 = t. Suppose -5*p + w = -12, 2*p + k*w - 12 = -2*w. Sort 5, p, 4 in ... | {
"pile_set_name": "DM Mathematics"
} |
+ z - 18
What is the y'th term of 935, 3778, 8523, 15170, 23719, 34170, 46523?
951*y**2 - 10*y - 6
What is the v'th term of 29339, 58813, 88433, 118199, 148111, 178169?
73*v**2 + 29255*v + 11
What is the k'th term of -1540, -965, 564, 3515, 8356, 15555, 25580?
78*k**3 + 9*k**2 + 2*k - 1629
What is the d'th term of 883... | {
"pile_set_name": "DM Mathematics"
} |
0, -0.5, 109, 0.08?
-0.5
What is the nearest to -1/3 in -3, 89, 3/5, 5, -37/7?
3/5
Which is the nearest to -2? (a) 0.4 (b) 96/5 (c) 0.1
c
What is the nearest to -25 in -3, 3236, -0.5?
-3
Which is the closest to 661? (a) 1/2 (b) -0.04 (c) 5 (d) -0.4 (e) -3
c
Which is the closest to 2/5? (a) 8 (b) 7 (c) 16
b
W... | {
"pile_set_name": "DM Mathematics"
} |
hat is l rounded to five decimal places?
0.00003
Let u = -1.4 - -0.44. Let b = u - -0.960082. What is b rounded to five decimal places?
0.00008
Suppose 3*y - t - 39763138 = 0, -y + 3*y - 26508757 = -t. Suppose -g - b = 10800003, -4*b - 19145633 = 3*g + y. What is g rounded to the nearest one million?
-11000000
Let x be... | {
"pile_set_name": "DM Mathematics"
} |
d(i) - 2*g(i). Let y(s) = s. Suppose t - 4 = 3*x, 5*t + x - 40 = -4. Calculate t*y(j) - 6*n(j).
j - 6
Let i(b) = -b**2 - b - 1. Let t(h) be the second derivative of -3*h**5/20 - h**4/4 - h**3/6 - 3*h**2/2 + 1850*h. Let x = -3 - -2. Calculate x*t(d) + 3*i(d).
3*d**3 - 2*d
Let p(g) = -g**2 + g + 47. Let q(l) = 1. Let u(n... | {
"pile_set_name": "DM Mathematics"
} |
olve 0 = -798*g - 81213 + 133083 for g.
65
Solve -6593*n = 253*n + 3431*n + 92493 for n.
-9
Solve -8903*z - 79082 = -1117*z - 155*z + 27752 for z.
-14
Solve 897*a = 41480 - 100682 for a.
-66
Solve 371*a = -171*a - 1938*a - 742*a + 170766 for a.
53
Solve -3646*h - 43805 = 72867 for h.
-32
Solve -629*v + 12365 + 3428 + 1... | {
"pile_set_name": "DM Mathematics"
} |
picking 3 h when three letters picked without replacement from {h: 3, u: 2}.
1/10
Three letters picked without replacement from ikkollyyf. Give prob of picking 1 f, 1 l, and 1 i.
1/42
Calculate prob of picking 1 x and 1 t when two letters picked without replacement from twaqhax.
1/21
What is prob of picking 3 c when t... | {
"pile_set_name": "DM Mathematics"
} |
3). Which is the closest to 30? (a) 2 (b) s (c) 5
c
Let f = 243 - 754/3. Let d = -98 + 97.9. Which is the nearest to f? (a) d (b) 2 (c) 5
a
Let c(r) = -3*r**2 + 12*r + 1. Let n(q) = -7*q**2 + 23*q + 1. Let w(f) = 9*c(f) - 4*n(f). Let g be w(0). What is the nearest to 0 in -17, -1, g?
-1
Let i = 109 + -109.1. Let ... | {
"pile_set_name": "DM Mathematics"
} |
nearest 1000000.
26000000
Round -7065.41 to the nearest ten.
-7070
What is 12731515 rounded to the nearest one thousand?
12732000
Round 0.000000188433 to 7 decimal places.
0.0000002
Round 17.750543 to one dp.
17.8
What is -0.000003496001 rounded to 7 decimal places?
-0.0000035
Round 0.006507259 to 4 dps.
0.0065
What is... | {
"pile_set_name": "DM Mathematics"
} |
e lowest common multiple of a and 11.
33
Let s be -2 - (21 + -2) - -2. Let u = -9 - s. Let z = -6 + 8. What is the least common multiple of z and u?
10
Let q(o) = o**3 - 6*o**2 + 8*o - 14. Calculate the smallest common multiple of q(6) and 4.
68
Suppose 0 = f + 3*l - 3, -2*f + 0*f = 3*l. Calculate the common denominato... | {
"pile_set_name": "DM Mathematics"
} |
s the units digit of n?
3
Let r(v) be the third derivative of -v**6/120 + v**5/5 - 13*v**4/24 + 11*v**3/6 - 15*v**2. What is the units digit of r(8)?
3
Let c be (-1 - 75/(-20))/((-2)/8). What is the hundreds digit of (6 + c)*((-103)/5 + -2)?
1
Let a = -16 + 28. Suppose -a*y + 108 = -8*y. What is the tens digit of y?
2
... | {
"pile_set_name": "DM Mathematics"
} |
2125/28)
Simplify (r*r**(-5)/r)**(-18)*(r**(-12)*r*r)**(5/2) assuming r is positive.
r**65
Simplify o**(-5/8)*o*((o**(-9/2)*o)/o)/o*(o**(-27))**(1/28) assuming o is positive.
o**(-341/56)
Simplify ((r/(r/(r*r/r**(-1/9))))/r*r**(-4)*r)/(r**(-1/2)*r/(r/(r*r*r*(r/(r/(r**(2/45)/r))*r)/r*r))*r) assuming r is positive.
r**(-... | {
"pile_set_name": "DM Mathematics"
} |
- h**3/3 - h**2 - 12*h. Calculate l(-4).
2
Let o(s) = s + 4. Let g(r) = -8*r**3 + r. Let l be g(-1). Suppose -l*y + 4*y = 18. Give o(y).
-2
Let m(x) = -x**3 - 6*x**2 - 3*x + 5. Let v be (-2 + 5 - -12) + 0. Suppose -2*w + 40 = -7*w - 3*b, -w - v = 2*b. What is m(w)?
-5
Let u be -1*1 - -3*6. Suppose -4*n - 5*a - u = 0, ... | {
"pile_set_name": "DM Mathematics"
} |
, -4, z?
-0.04
Let i = -3 + 3.1. Suppose 0 = 5*w - 2*v - 10, -5*v - 25 = 4*w - w. Which is the third smallest value? (a) w (b) -2 (c) i
c
Let i be (-60)/(-75) + (-2)/5. What is the fourth smallest value in i, -1/23, 0, -3?
i
Suppose -3*u - 9 = -2*u. Let j be u*(-4)/32 + -1. Let z = 0.4 - 0.5. Which is the third bigg... | {
"pile_set_name": "DM Mathematics"
} |
t 28, y, 2 in decreasing order.
28, 2, y
Let i = -4 - -9. Let o = 91 + -76.8. Let d = o + -14. Sort i, -2, d in descending order.
i, d, -2
Suppose 4*v = 26 + 2. Let n(s) = s**2 - 7*s + 8. Let p(a) = -a + 1. Let i(u) = -n(u) - p(u). Let l be i(v). Put 2, -3, l in descending order.
2, l, -3
Suppose 23*q + 180 = 59*q. Put... | {
"pile_set_name": "DM Mathematics"
} |
3 + 41*a**2 - 68*a + 34. What is the thousands digit of i(38)?
1
Suppose 5*a + 0*a = 2035. What is the units digit of a?
7
Suppose 4*j - 860 = -2*d, -7*j + 4 = -10. What is the hundreds digit of d?
4
Suppose 2*r + 4*m = 72, -r = -2*r + 4*m + 30. Let s = r - 9. Suppose -11 = -4*i + s. What is the units digit of i?
9
Let... | {
"pile_set_name": "DM Mathematics"
} |
ate the greatest common divisor of 9 and x.
3
Let y be 54/2*(-2)/(-6). Let o(t) = 2*t + 2. Let q(n) = n + 1. Let x(b) = -6*o(b) + 11*q(b). Let z be x(-4). Calculate the highest common factor of z and y.
3
Let c = 146 - 102. Calculate the greatest common divisor of 4 and c.
4
Let i(n) = -4 + 3*n**2 - 2*n**2 + 0*n**2 + 2... | {
"pile_set_name": "DM Mathematics"
} |
rivative of 5 - w**y - 2 + 0*w**4 wrt w?
-4*w**3
Suppose -5*f - 20 = -t - 2*f, -24 = -4*t - 2*f. Find the second derivative of -2*z - t*z + 12*z + 4*z**2 wrt z.
8
Let y(l) be the second derivative of -3*l**6/10 - 5*l**4/12 - 4*l. What is the third derivative of y(p) wrt p?
-216*p
Let n(a) be the third derivative of a**... | {
"pile_set_name": "DM Mathematics"
} |
- 72505*z**2.
240*z**3 - 127704*z + 12
What is the third derivative of 43*d**3*x**2 + 105*d**3*x - 2*d**3 - 3*d**2*x - 1836*d*x**2 wrt d?
258*x**2 + 630*x - 12
What is the second derivative of -716364*p**5 - 3*p**3 - 5*p - 281015?
-14327280*p**3 - 18*p
What is the second derivative of 100*g*u**2 - 25*g*u + 1134*g - 31... | {
"pile_set_name": "DM Mathematics"
} |
+ -20223?
-1212210323
In base 6, what is 144 - 2200520?
-2200332
In base 5, what is -3 + -2013332043?
-2013332101
In base 10, what is -52 - -843926?
843874
In base 8, what is 124264 + -1022?
123242
In base 5, what is 2130133 + 1231?
2131414
In base 13, what is -2980 - 24?
-29a4
In base 8, what is 125763 + 63?
126046
I... | {
"pile_set_name": "DM Mathematics"
} |
t(147))/sqrt(7) - sqrt(21))/(sqrt(24)/sqrt(8)*4) + -5 + (-1 + sqrt(567) - ((0 + sqrt(7))*-2)**2) + 3.
-31 + 39*sqrt(7)/4
Simplify (-6*(-4*sqrt(6292) - sqrt(6292))*2)/(5*(sqrt(324) + (sqrt(324) - (sqrt(324) + 4*sqrt(324) + sqrt(324))))*3).
-11*sqrt(13)/9
Simplify -3*(-4*((sqrt(192) + (sqrt(192) + (sqrt(192)*1 - sqrt(192... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 4*w + 8. Is o(-4) a multiple of 11?
False
Let k(x) = -x - 3 - 19*x**2 + 6*x**2 + 14*x**2 - 10*x. Is k(13) a multiple of 8?
False
Let o = 1350 - 1056. Is 3 a factor of o?
True
Let p = 1506 - 957. Does 9 divide p?
True
Let q(y) = -y - 2. Let m be -30*8/20*(-3)/(-3). Is 5 a factor of q(m)?
True
Suppose -23*r + 5538 =... | {
"pile_set_name": "DM Mathematics"
} |
2
What is the billions digit of 1985693820?
1
What is the millions digit of 225022583?
5
What is the tens digit of 207602434?
3
What is the tens digit of 2263787128?
2
What is the ten thousands digit of 1354612723?
1
What is the tens digit of 214850959?
5
What is the millions digit of 34296655?
4
What is the ten thousa... | {
"pile_set_name": "DM Mathematics"
} |
3?
-2011
What comes next: -12, -22, -34, -48, -64, -82?
-102
What comes next: -11, -85, -281, -659, -1279, -2201, -3485, -5191?
-7379
What comes next: -84, -14, 56, 126?
196
What is the next term in -861, -1725, -2591, -3459, -4329?
-5201
What comes next: 154, 152, 140, 112, 62?
-16
What comes next: -225, -222, -209, -... | {
"pile_set_name": "DM Mathematics"
} |
237 - 216 = 7*o for o.
3
Solve -242*l - 128*l - 12767 = 381*l for l.
-17
Solve 0 = -149*l - 5*l - l for l.
0
Solve -14*f - 791 = -945 + 462 for f.
-22
Solve 44*t + 169 = 169 for t.
0
Solve 27012*h - 26954*h - 754 = 0 for h.
13
Solve 44*r + 386 - 237 = -731 for r.
-20
Solve -45*q = 171 + 369 for q.
-12
Solve -117*d + 39... | {
"pile_set_name": "DM Mathematics"
} |
*(1/17)*(l*l**(-23))/l))**(-10) assuming l is positive.
l**(-1925/8)
Simplify (x**(2/7)/x*x*x*x*x**(-5)*(x**(1/4)/x)**(-1/9))/(((x*x**1/x)/x*x)**(18/7)/(x**(-1)/x*x*x)**9) assuming x is positive.
x**(-437/84)
Simplify (l/l**(-6)*l**(1/2))**17/((l**(-1/3))**(-11))**32 assuming l is positive.
l**(61/6)
Simplify (((q**(2/... | {
"pile_set_name": "DM Mathematics"
} |
484 + 777 for l.
-6
Solve -596*g + 15203 + 46700 = 698*g + 12731 for g.
38
Solve 0 = -169*z - 11569822 + 11551232 for z.
-110
Solve -3008*q - 429125 - 142015 = -675*q + 4013*q for q.
-90
Solve 619*z - 3595 + 4083 - 17201 = 0 for z.
27
Solve -64394*z + 7421 = -64213*z for z.
41
Solve 0 = -39*d + 372 + 847 - 634 for d.
... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 2.
23887*l**2 + 4
Collect the terms in 1883*h**2 - 3764*h**2 + 1886*h**2.
5*h**2
Collect the terms in -91*n**2 + 15550 - 15550 + 3*n - 3*n + n**3.
n**3 - 91*n**2
Collect the terms in 9*o**2 + 4*o**2 - 34*o**3 - 13*o**2 + 342*o**3.
308*o**3
Collect the terms in -223 - 2*o - 936 - 479.
-2*o - 1638
Collect the terms ... | {
"pile_set_name": "DM Mathematics"
} |
n
Let c = -48.991 + 49. Do 0 and c have different values?
True
Let d be (64/(-6))/(3/(-9)). Let q be d/20*(-5)/(-2). Is q at most as big as 5?
True
Let r = 10055/7909 + 1/719. Let n = r - 64/33. Let s = 23/60 - 1/20. Which is smaller: n or s?
n
Let d = -1 - -14. Does 14 = d?
False
Suppose -3*x = -8*x + 5. Is x greater... | {
"pile_set_name": "DM Mathematics"
} |
n in increasing order.
d, n, 1, 3
Let f = -0.99 + 0.63. Let j = 0.14 - f. Sort 12, j, 0.3, 2/17 in decreasing order.
12, j, 0.3, 2/17
Suppose -9*t + 518 = 554. Put 2/5, 4, -0.038, t in descending order.
4, 2/5, -0.038, t
Suppose -14 = b - 5*l, -3*b + 45 = 5*l + 147. Put b, -0.5, 0 in descending order.
0, -0.5, b
Let s ... | {
"pile_set_name": "DM Mathematics"
} |
uppose -10*l + 15 = -7*l. Let a be (l/15)/((-8)/(-6)). Put -2/15, a, 2/3 in ascending order.
-2/15, a, 2/3
Let y be 32/6 - (-1)/(-3). Let l = 15.7 + -15.7. Sort l, y, -1 in descending order.
y, l, -1
Let d = -51248066/315 + 162692. Let t = 7/45 - d. Let v = 5 + -4. Sort t, v, -0.5 in decreasing order.
v, t, -0.5
Let r ... | {
"pile_set_name": "DM Mathematics"
} |
5 bigger than -166?
True
Is -2/23 greater than or equal to 1?
False
Is 1163/19 smaller than 60?
False
Is 0.1 >= -2/39?
True
Which is bigger: 1022 or 1020?
1022
Which is smaller: -15/16 or -1?
-1
Is -35064 <= -35065?
False
Which is smaller: -1 or -4/1801?
-1
Which is smaller: -476 or -467?
-476
Is 2 bigger than 273?
Fal... | {
"pile_set_name": "DM Mathematics"
} |
Which is the closest to j? (a) 5 (b) -5 (c) w
c
Let u = 187 - 1307/7. Let g = -11 - -10. Which is the nearest to -0.1? (a) 5 (b) u (c) g
b
Suppose 2*m + 1 = 3*m. Let h = 14 + -14.3. What is the closest to m in 5, -4, h?
h
Let j = 517/3 - 174. Which is the closest to -1? (a) j (b) -2/5 (c) -2
b
Suppose -4*y - 4... | {
"pile_set_name": "DM Mathematics"
} |
o**4 and give h.
-13
Express -3*k - 2*k - 14 + 6*k as x*k + s and give x.
1
Rearrange -10 + 13 - 8*h**3 - h**2 + h**2 to j + a*h**3 + l*h + o*h**2 and give a.
-8
Rearrange -32*b + 14*b + 13*b to the form f + w*b and give w.
-5
Express -5*q**2 + 3*q**2 + q**2 + (6*q - 3*q - 2*q)*(15*q + 6*q + 11*q) in the form h*q + m +... | {
"pile_set_name": "DM Mathematics"
} |
+ 6*x(g)?
3*g
Let f(j) = -j**3 + j**2 + j + 1. Let o(g) = 2*g**3 + 5*g**2 + 11*g + 6. What is -6*f(z) + o(z)?
8*z**3 - z**2 + 5*z
Let q(p) = 5*p + 2. Let a = -25 - -27. Suppose t + 3 = a*t. Let z(g) = 9*g + 3. Determine t*z(x) - 5*q(x).
2*x - 1
Let t(n) = 7979*n + 303. Let j(z) = 105*z + 4. Determine 303*j(p) - 4*t(p)... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 2*d + 2
Let i(h) = 34*h**3 + 6*h**2 + 6. Let q(r) = -r**3 + r**2 + 1. What is i(a) - 6*q(a)?
40*a**3
Let p(g) = -g + 1. Let z(n) = 6*n - 3*n + 8 - 6*n - 9*n. Give 8*p(r) - z(r).
4*r
Let r(f) = 5*f**2 + 2*f + 1. Let u be r(-1). Let g(j) = -u - j**2 - 4 + 4 - 1. Let y(v) = -2*v**2 - 9. Let p be -1 - (-20)/(-2*1). D... | {
"pile_set_name": "DM Mathematics"
} |
, 5, 12 in decreasing order.
12, 5, y
Let u(o) = o**3 + 18*o**2 - 8*o - 148. Let h be u(-18). Sort h, 2, 31.
h, 2, 31
Let d be ((-3)/(-2))/((-219)/(-72) - 3). Suppose -d*c + 32*c - 4 = 0. Sort c, 3, 17, -4 in descending order.
17, 3, c, -4
Suppose -5*d - o - 66 = 0, -3*d = -0*o + 4*o + 43. Let p = -12 - d. Sort 4, p, -... | {
"pile_set_name": "DM Mathematics"
} |
= 1.54 - 0.14. Let n = 2.8 - j. Let m = 1.39999987 - n. What is m rounded to 7 dps?
-0.0000001
Let g = -48.85 - -47. Let k = g + 1.757. Round k to 2 decimal places.
-0.09
Let x = 37.0000344 - 37. What is x rounded to 5 decimal places?
0.00003
Let k = -0.46 + 0.373. Round k to 2 dps.
-0.09
Let o = 10.4 + -4. What is o r... | {
"pile_set_name": "DM Mathematics"
} |
places?
-0.003
Let i = -3070345.0318 + 3070632. Let o = -286.874 + -0.126. Let z = o + i. What is z rounded to three dps?
-0.032
Let j(u) = -4*u + 24. Let z be j(6). Suppose 413887 - 21891 = -4*v - 2*n, 4*v - n + 392002 = z. Round v to the nearest 100000.
-100000
Let u = -1334.68 - -1530.1. What is u rounded to the ne... | {
"pile_set_name": "DM Mathematics"
} |
nd derivative of -56862*v**5 + v**3 - 36*v - 124 wrt v.
-1137240*v**3 + 6*v
What is the third derivative of 25497*c**6 - 64*c**4 - 3823862*c**2 wrt c?
3059640*c**3 - 1536*c
Find the first derivative of -v**3 + 10*v**2 - 54975*v + 463219 wrt v.
-3*v**2 + 20*v - 54975
Differentiate 109681*i + 827096 wrt i.
109681
Find th... | {
"pile_set_name": "DM Mathematics"
} |
s the units digit of y(-17)?
9
Let r = 6 + -10. Let a(m) = -m**3 - 3*m**2 + 6*m + 3. Let z be a(r). What is the units digit of (-8)/20 - 112/z?
2
Suppose -3*m + 1598 = -a, 0 = -20*a + 15*a + 5. What is the hundreds digit of m?
5
Suppose -4*v - y - 36 = 17, -v = y + 14. Let b(c) be the first derivative of c**2/2 + 14*c ... | {
"pile_set_name": "DM Mathematics"
} |
+ 59 + 83. What are the prime factors of c?
71
Suppose -4*x = -8*x + 648. Suppose -3*f + 3*t = -x, -f - f = -5*t - 96. What are the prime factors of f?
2, 29
Suppose 4*s + 2*w + 7 = -1, 5*s + 4*w + 4 = 0. Let d be 21 + -15 + s + 0. Suppose -78 = -3*k - 4*p + 76, k - 52 = -d*p. List the prime factors of k.
2, 5
Let l be... | {
"pile_set_name": "DM Mathematics"
} |
1879
What are the prime factors of 800951?
29, 71, 389
What are the prime factors of 171301?
13, 13177
List the prime factors of 1847455.
5, 369491
What are the prime factors of 107536?
2, 11, 13, 47
List the prime factors of 797268.
2, 3, 29, 79
List the prime factors of 4044822.
2, 3, 389, 1733
What are the prime fac... | {
"pile_set_name": "DM Mathematics"
} |
e second derivative of 1485*p**3 + 2385*p**2 - 1425031*p wrt p?
8910*p + 4770
What is the first derivative of -248776348*f**3 + 2*f - 310794383?
-746329044*f**2 + 2
Differentiate 2*y**4 + 1854*y**3 + 41178*y**2 + 695835919 with respect to y.
8*y**3 + 5562*y**2 + 82356*y
Find the third derivative of -10*i**2*m**5 + 1179... | {
"pile_set_name": "DM Mathematics"
} |
(a) 0.1 (b) n (c) -2
a
Let r = -4 - -8. Let b = r + -4.1. Let g = 1.95 - -0.05. What is the nearest to b in g, 1/8, -0.1?
-0.1
Suppose 0*d + d = -5, -3*d = -4*l + 3. Let q = 52867 - 368875/7. Let b = -171 + q. What is the nearest to -3/5 in 1/3, l, b?
b
Let s = 4/31 + 42/155. Which is the nearest to s? (a) -5 (b)... | {
"pile_set_name": "DM Mathematics"
} |
-2*(i + (-2)/4). Let d be (2/(-38))/(c/(-2)). Are 0 and d unequal?
True
Let g = -23/33 - 7/11. Suppose 5 = -2*c - 5*n, 1 = 5*c - 4*n - 3. Which is greater: c or g?
c
Let u = 13988 - 1007525/72. Let k = u + 45/8. Let i = 1.3 - 1.4. Is i at least as big as k?
False
Let f be 4/(-1*(-2)/3). Let z be 2/3 + 26/f. Suppose 3*... | {
"pile_set_name": "DM Mathematics"
} |
0*n**4.
-5*n**4 - 10*n**2 - 2
Expand (3*p**2 + 2*p**2 + 0*p**2)*(-342 + 8*p**3 + 342) + 0*p**5 + 5*p**5 - 4*p**5.
41*p**5
Expand (0*v - 2*v + 0*v)*(-58*v + 14*v**2 + 58*v) - 2 - 3*v**3 - v - 7*v**3 + 9*v**3 + 5*v**2.
-29*v**3 + 5*v**2 - v - 2
Expand (-10*q + 25*q + 3*q + 38*q)*(-4*q - 3*q**2 + 4*q).
-168*q**3
Expand 2... | {
"pile_set_name": "DM Mathematics"
} |
= 3*c - 7*c + 136. Suppose -c + 54 = 4*x. Sort x, 1, -2, 3.
-2, 1, 3, x
Let w(g) = g**3 - 11*g**2 + 10*g - 2. Let o be w(10). Suppose s + 32 - 12 = -5*x, -4*s - 5*x = 20. Put -34, s, o in ascending order.
-34, o, s
Let l = 0.1 - 12.1. Let t = -18 - l. Let p = 5.9 + t. Sort p, -2, -1.
-2, -1, p
Suppose -164 = 2*x - 166... | {
"pile_set_name": "DM Mathematics"
} |
.
2, 7
Let r be 2/(-17) - (-252)/119. Let n(f) = f - 2*f + 5*f**2 - 4*f**r. What are the prime factors of n(6)?
2, 3, 5
Suppose 0 = -5*q + 4*u - 5, -19 = 4*q - 2*q - 5*u. Suppose 11 = q*j - 214. What are the prime factors of j?
3, 5
Let o(i) = -i**3 - 14*i**2 - 14*i - 12. Let u be o(-13). Let d be (21/35)/(u/(-5)). Wha... | {
"pile_set_name": "DM Mathematics"
} |
t y = -0.259 + r. What is y rounded to two dps?
-0.21
Let x = -989 - -988.419. Round x to 1 dp.
-0.6
Let o(h) = -7*h**3 - 5*h**2 + 9*h + 8. Let d be o(-5). What is d rounded to the nearest 100?
700
Let m = 35.71995091 + -35.72. What is m rounded to six decimal places?
-0.000049
Let k be (2 - 5) + (3 - -10). Suppose -p ... | {
"pile_set_name": "DM Mathematics"
} |
34
-5 (base 9) to base 16
-5
What is -85 (base 10) in base 13?
-67
What is 6 (base 8) in base 4?
12
What is -174 (base 8) in base 10?
-124
What is -17 (base 16) in base 7?
-32
What is 1303 (base 4) in base 13?
8b
What is 1152 (base 6) in base 9?
345
What is -50 (base 10) in base 16?
-32
Convert 11 (base 7) to base 2.
1... | {
"pile_set_name": "DM Mathematics"
} |
le of j/n + 1176/39 and 2?
30
Let x = 319876477/468 + -683497. What is the common denominator of -127/2600 and x?
23400
Let y = -98 + 99. Let g(f) = 22*f**2 - 4*f - 2. Calculate the least common multiple of g(y) and 399/5 + 1/5.
80
Let m = -5545 + 94229/17. Find the common denominator of m and 95/(-260)*(-6)/(-6).
884
... | {
"pile_set_name": "DM Mathematics"
} |
is -8990a + -3?
-8990d
In base 6, what is -1420 + -2405011?
-2410431
In base 13, what is -19 - -9347411?
93473c5
In base 6, what is -32550013 + -50?
-32550103
In base 15, what is 1ee317d - 2?
1ee317b
In base 8, what is 22 - 67565?
-67543
In base 14, what is -5 - -2b5872?
2b586b
In base 5, what is 201421021043 - 4?
2014... | {
"pile_set_name": "DM Mathematics"
} |
ig as 42.1?
False
Is 0.7 at most as big as -1/75?
False
Is 2 != 7814?
True
Which is greater: -2 or -4?
-2
Which is bigger: 288 or 0.5?
288
Which is greater: -12 or 22?
22
Do 2/15 and 0.057 have the same value?
False
Which is bigger: 5889 or 5890?
5890
Is -378/5 greater than or equal to -77?
True
Which is smaller: -2984... | {
"pile_set_name": "DM Mathematics"
} |
5, o: 3, e: 4}?
8/273
Two letters picked without replacement from {x: 11, u: 3}. What is prob of picking 1 x and 1 u?
33/91
What is prob of picking 1 t and 2 f when three letters picked without replacement from tffttt?
1/5
Three letters picked without replacement from {x: 3, q: 6, z: 1, d: 7}. Give prob of picking 3 x... | {
"pile_set_name": "DM Mathematics"
} |
/7, 2, 9
Find y, given that -25*y**5 + 640*y**4 - 5040*y**3 + 11630*y**2 - 3575*y - 3630 = 0.
-2/5, 1, 3, 11
Factor -2*h**3/5 - 726*h**2/5 - 13104*h + 66248/5.
-2*(h - 1)*(h + 182)**2/5
What is j in -30*j**3 + 4805*j**2 + 4030*j - 805 = 0?
-1, 1/6, 161
Let 4*p**5/7 - 24*p**4/7 + 12*p**3/7 + 40*p**2/7 = 0. What is p?
-1... | {
"pile_set_name": "DM Mathematics"
} |
j/5 - 1104 = 0. What is j?
-23, -8, 5, 12
Factor 2*a**2 + 526764*a - 526766.
2*(a - 1)*(a + 263383)
What is g in -4*g**2 - 348*g + 2232 = 0?
-93, 6
Suppose -3*d**2/5 + 37869*d + 378702/5 = 0. What is d?
-2, 63117
Factor -2*g**2 - 1214*g + 40896.
-2*(g - 32)*(g + 639)
Find t such that 114*t**5/7 + 794*t**4/7 + 884*t**3/... | {
"pile_set_name": "DM Mathematics"
} |
(c) -1/349
a
Which is the second smallest value? (a) 5 (b) 0.1 (c) 234 (d) 1/7 (e) 10
d
Which is the third biggest value? (a) -1/8 (b) 3 (c) -4/5
c
Which is the fourth smallest value? (a) -4 (b) -3 (c) -7 (d) -3/8
d
What is the second smallest value in -1, -0.5, -5, 6?
-1
Which is the smallest value? (a) ... | {
"pile_set_name": "DM Mathematics"
} |
+ (-1911)/(-84) - -10653*(-1)/(-4)?
False
Let i(q) = 11*q + 18*q - 31*q + 2 + q**3 - 3*q**2. Let w be i(4). Suppose -w*s = -13*s + 168. Is 41 a factor of s?
False
Suppose 0 = -24*f + 21*f - 144. Let x = f + 53. Suppose 0 = 3*o + 5*d - 75, -x*d + 30 = -5*o + 195. Is 6 a factor of o?
True
Let n be (-1 - (-9)/6)*(-12)/(-3... | {
"pile_set_name": "DM Mathematics"
} |
3.66434
Convert 47670.75mg to kilograms.
0.04767075
Convert 176939.154 milliseconds to weeks.
0.000292558125
How many months are there in twenty-one fifths of a century?
5040
What is 37/5 of a millennium in decades?
740
How many grams are there in one quarter of a kilogram?
250
What is 26.92431 centuries in decades?
26... | {
"pile_set_name": "DM Mathematics"
} |
*4 + 0 + 0 + (v**3 - v**3 + v**4)*(-1 - 1 + 5) to h*v**3 + m*v + n*v**2 + g + c*v**4 and give c.
-93
Rearrange (5 - 1 + 3)*(3 + 0 - 1)*(-2 + 2 - 1)*(-5 + 11 - 8)*(1 - 1 + 2*i**3) to y + r*i**2 + d*i + o*i**3 and give y.
0
Express -4*k + 0*k + 10*k**2 + 2*k + 3*k - k**2 - 10 as m + u*k + d*k**2 and give m.
-10
Express -... | {
"pile_set_name": "DM Mathematics"
} |
se 10?
-5
-15 (base 7) to base 4
-30
Convert -3 (base 9) to base 8.
-3
170 (base 11) to base 14
102
Convert 2 (base 6) to base 2.
10
1000 (base 3) to base 4
123
-1 (base 4) to base 16
-1
24 (base 6) to base 15
11
Convert -4a (base 12) to base 9.
-64
Convert 101100 (base 2) to base 15.
2e
Convert 143 (base 5) to base 12... | {
"pile_set_name": "DM Mathematics"
} |
n 374*t + 361*t + 301*t - 1048*t.
-12*t
Collect the terms in 45*r + 44*r + 47*r - 125*r.
11*r
Collect the terms in -7679*h + 7641*h + 3 - 3 + h**2.
h**2 - 38*h
Collect the terms in 503238523*q**2 - 503238523*q**2 - 3*q**3.
-3*q**3
Collect the terms in 4*r**2 + 4312 + 1907 - 6219.
4*r**2
Collect the terms in 2*k**2 - 3*... | {
"pile_set_name": "DM Mathematics"
} |
/20 and 73/7112.
35560
Calculate the least common multiple of 489 and 9.
1467
What is the smallest common multiple of 36 and 15?
180
What is the smallest common multiple of 20 and 48?
240
What is the least common multiple of 2770 and 6?
8310
Calculate the smallest common multiple of 88 and 48.
528
Calculate the least c... | {
"pile_set_name": "DM Mathematics"
} |
1/195*x**6 + 0 + 0*x**3 + 0*x. Factor f(g).
2*g*(g - 1)*(g + 1)*(g + 4)/13
Let t(h) be the second derivative of 1 - 49/15*h**3 - 7/15*h**4 - 5*h + 0*h**2 - 1/50*h**5. Factor t(f).
-2*f*(f + 7)**2/5
Let b(a) be the third derivative of -a**6/20 - a**4/24 - a**3/3 - 2*a**2. Let q be b(-1). Factor -3*d**2 + 4*d**4 - d**3 +... | {
"pile_set_name": "DM Mathematics"
} |
= u + -175. What is the units digit of m?
5
Suppose m - 7*m + 6 = 0. Let a(s) = -s - 1. Let h(t) = t**2 - 8*t - 12. Let n(r) = m*h(r) - 3*a(r). What is the tens digit of n(9)?
2
Suppose 5*x + 3*r = 401, x + x + 3*r - 164 = 0. Let c = 67 - x. What is the units digit of (-4)/((-32)/c)*-130?
5
Suppose 18*n - 2352 = 11*n. ... | {
"pile_set_name": "DM Mathematics"
} |
119
Let i(n) = 194*n - 1214. What is i(6)?
-50
Let g(c) = c**3 - 47*c**2 - 67*c + 1002. Determine g(48).
90
Let z(d) = 85*d + 1061. What is z(-12)?
41
Let r(m) = m**2 - 13*m + 53. Give r(14).
67
Let p(v) = v**3 + 28*v**2 + 69*v - 140. Calculate p(-25).
10
Let a(f) = f**2 + 12*f - 42. What is a(-11)?
-53
Let h(x) = -x*... | {
"pile_set_name": "DM Mathematics"
} |
001
Four letters picked without replacement from ddbaddddaaaadaddb. Give prob of sequence dadb.
9/595
Calculate prob of sequence wow when three letters picked without replacement from {o: 9, w: 11}.
11/76
Calculate prob of sequence xd when two letters picked without replacement from {d: 1, y: 2, x: 1, v: 2, g: 1}.
1/42... | {
"pile_set_name": "DM Mathematics"
} |
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