text stringlengths 270 8.19k | meta dict |
|---|---|
2760707
What is -aecdd (base 15) in base 12?
-229bb4
-530524 (base 6) to base 12
-20a44
What is 6151022 (base 8) in base 12?
665416
934872 (base 16) to base 12
3295a16
What is 175cb4 (base 14) in base 8?
3107266
4476b0 (base 14) to base 16
237bfa
Convert 11e9e (base 16) to base 11.
50144
What is 1023400 (base 6) in bas... | {
"pile_set_name": "DM Mathematics"
} |
.
-0.299331
1 * 96.343
96.343
What is 1 times -284863?
-284863
Work out 5712611 * 1.
5712611
Calculate 19*470.5.
8939.5
What is the product of -15166 and 197?
-2987702
Product of -340 and -388.
131920
1 * -90601
-90601
Multiply 0.0443079 and -0.2.
-0.00886158
Multiply -1697.36 and -19.
32249.84
0 times 148837
0
Product... | {
"pile_set_name": "DM Mathematics"
} |
3. Let l = -0.12 + 5.12. Which is the second biggest value? (a) k (b) x (c) l
a
Let i = -0.04 - -0.44. Let p = 97225 + -1261726/13. Let z = -169 + p. Which is the third smallest value? (a) i (b) z (c) 0.2
a
Let y = 2.2 + -1.9. What is the second smallest value in y, 2/3, 0.2?
y
Let v = 8523374/28357 - 10/4051. Le... | {
"pile_set_name": "DM Mathematics"
} |
1377) - (sqrt(1377) + -2)) + -3 + sqrt(1377) - (0 + sqrt(1377) + -3*sqrt(1377) + 0)) + 5))**2.
559872*sqrt(17) + 16144272
Simplify (((-6*(-1 + -1*sqrt(684) + sqrt(684)) - (4*(sqrt(684)*-1 - sqrt(684)) + -5)) + 5)*6*3 + 0)**2.
497664*sqrt(19) + 14266368
Simplify 6*(-3*(sqrt(153) + sqrt(153) + -3 + sqrt(153) + -1 + sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
q**2 + 3*q - 8. Let j be l(-5). Is j at least as big as 8/13?
True
Let v = 126 - 120. Which is greater: 1/5 or v?
v
Let i = -29 + 18. Is -9 not equal to i?
True
Let d be 294/(-45) - 3/(-9). Suppose 3*a + 2*a - 15 = -5*c, -5*a = 3*c - 3. Let w = d + c. Is w equal to 1?
False
Suppose 3*v - 4 = -v. Let k = 0 + 5. Let i be... | {
"pile_set_name": "DM Mathematics"
} |
83 = 4*s, 44 = 4*s - 4*x. What is the lowest common multiple of 482 and s?
5302
Let m = 910 + -322. What is the common denominator of (-15)/(90/m)*1/(-4) and 62/5?
10
Suppose -5*i - 924 = -8*i. Calculate the common denominator of ((-96)/(-512))/(3*2/i) and -1/5.
40
Let h = 783/14 + -412/7. Calculate the common denomina... | {
"pile_set_name": "DM Mathematics"
} |
h is greater: 46 or 93508?
93508
Is 242275707 < 242275707?
False
Which is greater: 0.05 or 0.637766?
0.637766
Do -2244214 and -15709496/7 have the same value?
False
Is 0 greater than or equal to -407/343202?
True
Is 3767270 >= 6?
True
Which is greater: -59 or -2/3228639?
-2/3228639
Are -2220/779191 and 0 equal?
False
W... | {
"pile_set_name": "DM Mathematics"
} |
e
Does 23 divide 64?
False
Does 17 divide 1027?
False
Is 25 a factor of 875?
True
Is 24 a factor of 1128?
True
Is 486 a multiple of 9?
True
Is 7060 a multiple of 20?
True
Is 21870 a multiple of 135?
True
Does 11 divide 3003?
True
Is 988 a multiple of 76?
True
Is 57 a factor of 2950?
False
Is 136 a factor of 77092?
Fals... | {
"pile_set_name": "DM Mathematics"
} |
Three letters picked without replacement from {w: 2, v: 5, f: 6, q: 2, g: 3, l: 1}. Give prob of sequence fwg.
2/323
Four letters picked without replacement from pphpdqqqqqhhppppq. What is prob of sequence qpdh?
3/1360
Calculate prob of sequence wo when two letters picked without replacement from chwooctctoocwchooo.
7... | {
"pile_set_name": "DM Mathematics"
} |
2 + 112 + -3 + -5 + -4?
87
Calculate -42 - (20 + 34 + -99).
3
What is the value of -100 + (109 - -7) - 20?
-4
What is the value of 29 + (-70 - (-2 + -13))?
-26
Calculate -88 - (0 + -3) - (-32 - (-44 + 19)).
-78
What is the value of 53 + 11 - 75 - ((1 - 2) + -15)?
5
Evaluate 9 - (15 - 9) - (19 - -37) - -6.
-47
2 + -29 -... | {
"pile_set_name": "DM Mathematics"
} |
implify y**(-2/7)/(y**7*y)*((y/y**(1/4))/y)/(y/((y/(y**(-3)/y))/y))*(y**(-6)*((y**(-6)/y)/y)/y)**28 assuming y is positive.
y**(-11915/28)
Simplify u**(-6)*u**2*(u**1)**11*(u*u**(-6)*u**5)/(((u/(u**3*u))/u)/(u*u**(-2))) assuming u is positive.
u**10
Simplify (v**(1/4)/v**(-3)*v*v/(v**(-2/9)/v)*v*v/(v/(v*v**6/v*v)))/((v... | {
"pile_set_name": "DM Mathematics"
} |
b**2 + n and give y.
2716
Express -3*t + 2*t - 18870*t**3 + 2 + 18880*t**3 - t**2 + 5*t**4 - 3 in the form z*t + k*t**2 + r*t**4 + p*t**3 + y and give z.
-1
Rearrange (-g + 2 + 1 - 1)*(17589*g - 36730*g + 14589*g) to z + q*g**2 + u*g and give q.
4552
Rearrange -15*w**2 - 2*w**3 + 40422*w**4 - 20212*w**4 - 20180*w**4 - ... | {
"pile_set_name": "DM Mathematics"
} |
ement from iiiwpiiiipiwi.
3/26
What is prob of sequence top when three letters picked without replacement from {b: 3, o: 1, p: 3, t: 3, d: 3, h: 1}?
3/728
What is prob of sequence yo when two letters picked without replacement from meoyoom?
1/14
What is prob of sequence hh when two letters picked without replacement fr... | {
"pile_set_name": "DM Mathematics"
} |
common multiple of y and 12?
12
Let t(u) = -u + 1. Suppose -4*b - 2 = -30. What is the smallest common multiple of b and t(-5)?
42
Suppose t - o - 19 = 2*o, 8 = 4*t + 5*o. Let s = 31 + -22. Suppose m = -0*m + s. Calculate the least common multiple of t and m.
63
Let y be (-4)/(-20) + (-502)/1960. Let s = 591/196 - y. F... | {
"pile_set_name": "DM Mathematics"
} |
et j = 0.258 + 0.142. Let t = -6 + 1. Which is the nearest to 0.1? (a) 0 (b) j (c) t
a
Let m = -131.9 - -129.9. Which is the closest to 2? (a) m (b) 5 (c) -21
b
Let x be (-2 + 2)/((-4*1)/(-2)). Let h = 29/2 + -14. Which is the nearest to h? (a) 2 (b) x (c) -0.1
b
Let u = 128 - 900/7. Let t = 3.993 + 0.007. Whi... | {
"pile_set_name": "DM Mathematics"
} |
respect to v.
432091*p*s**2 - 3*p*t**3
What is the second derivative of 414*v**3 - 42359*v**2 + 1014571*v - 23 wrt v?
2484*v - 84718
What is the second derivative of -10*c**4 - 1800*c**3 + 5*c**2 + 56630929*c wrt c?
-120*c**2 - 10800*c + 10
Find the third derivative of 162557135*b**3 - 15*b**2 + 1642*b - 44 wrt b.
9753... | {
"pile_set_name": "DM Mathematics"
} |
ve 130*t - 28 = 2*b + 125*t, 376 = -96*b - 2*t for b.
-4
Solve -57*f + 55*f - 63 = -5*t, -3*t = 5*f - 13 for f.
-4
Solve 0 = 2*i + r + 10, 5*i - 3*r - 961 = -997 for i.
-6
Solve -62*m - 340 + 87 = -x, 3 = -x - 2*m for x.
5
Solve 4 = -2*r + 3*r - 2*z, -2*z = 5*r + 16 for r.
-2
Solve 0 = 3*s - 3, -5*v - 92 = s - 113 for ... | {
"pile_set_name": "DM Mathematics"
} |
the tens digit of a?
1
Let n(j) = -164*j + 53. What is the hundreds digit of n(-23)?
8
Let t(y) = y**2 + 4*y + 3. Let i be t(-6). Let v(o) = o**3 - 15*o**2 + 6. Let c be v(i). Let w(j) = -j**2 + 6*j + 10. What is the units digit of w(c)?
0
Let u = -28 + 6. Let n = 12 + u. Let r(a) = -5*a - 11. What is the units digit ... | {
"pile_set_name": "DM Mathematics"
} |
: 1, k: 1, r: 2}. What is prob of sequence yuk?
1/210
Three letters picked without replacement from aknggngnaaa. Give prob of sequence ang.
2/55
Calculate prob of sequence hvvh when four letters picked without replacement from hvvhhhvvhhhvvhhhhh.
11/204
Two letters picked without replacement from uugguuuuggu. What is p... | {
"pile_set_name": "DM Mathematics"
} |
831*p**3 + 3530*p**2 + 31 wrt p.
700986
Differentiate 7*h*p - 827*h*z**2 + 2*h*z - 13*h + 56323*p*z**2 - 5*z**2 wrt h.
7*p - 827*z**2 + 2*z - 13
Differentiate i**3*n - 100*i**3 + i**2*n - 135005*n with respect to i.
3*i**2*n - 300*i**2 + 2*i*n
What is the second derivative of 40887*y**2 + 77242*y wrt y?
81774
Find the ... | {
"pile_set_name": "DM Mathematics"
} |
se 10 = -2*f, 4*f = -2*l - 2 - 10. Suppose q + 11*v - 10*v = 4, 0 = -4*q + 5*v + 16. Solve -q*m = l + 16 for m.
-5
Suppose 4*a - 3 = -k, 5*k = -7*a + 2*a - 15. Let w(j) = -j - 5. Let r be w(k). Suppose 3*b - 8 - 52 = r. Solve 3*z - b = -z for z.
5
Let c(k) = k - 5*k + 2*k + k - 4. Let b be 9/((-189)/77) + (-1)/3. Let x... | {
"pile_set_name": "DM Mathematics"
} |
-4278, -7936, -12606, -18288, -24982?
-32688
What is next in 2662, 5404, 8146, 10888?
13630
What is the next term in -176080, -352164, -528248, -704332, -880416?
-1056500
What is next in 321, 2498, 8381, 19818, 38657?
66746
What is next in 7934, 31643, 71132, 126407, 197474?
284339
What is next in -102, -135, -190, -2... | {
"pile_set_name": "DM Mathematics"
} |
55832 - -0.3.
-28855831.7
What is 46010717 less than -0.08?
-46010717.08
Put together 1453.81 and 8.8.
1462.61
Subtract 1604894604 from -2.
-1604894606
What is the distance between -2544133.54 and -5.8?
2544127.74
-13.085579 + -24
-37.085579
Put together 4755941 and 0.02.
4755941.02
Work out -0.781137 - 140.
-140.78113... | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to 5/3 in -1/7, -0.9, 1?
1
Which is the nearest to -1? (a) -0.35 (b) -2/5 (c) -2/15
b
Which is the nearest to -119/5? (a) 1/6 (b) -24/11 (c) -2/17
b
Which is the closest to 2/15? (a) 2 (b) -4/13 (c) -1/5 (d) 4
c
Which is the closest to 1? (a) -15 (b) 5 (c) -0.1
c
What is the closest to 1 in... | {
"pile_set_name": "DM Mathematics"
} |
ainder when 964 is divided by 108?
100
Calculate the remainder when 865 is divided by 191.
101
Calculate the remainder when 27 is divided by 3.
0
What is the remainder when 3279 is divided by 81?
39
Calculate the remainder when 122 is divided by 41.
40
What is the remainder when 244 is divided by 81?
1
Calculate the re... | {
"pile_set_name": "DM Mathematics"
} |
by 256?
218
What is the remainder when 390683 is divided by 188?
19
Calculate the remainder when 280886 is divided by 697.
692
What is the remainder when 10787 is divided by 3590?
17
Calculate the remainder when 567 is divided by 169.
60
Calculate the remainder when 129311 is divided by 1724.
11
Calculate the remainder... | {
"pile_set_name": "DM Mathematics"
} |
4*a**2. Calculate g*k(b) + s*o(b).
4*b**3
Let h(f) = 40*f - 114*f + 1 + 36*f + 39*f. Let n(x) = -x. Calculate -2*h(r) - 4*n(r).
2*r - 2
Let l(h) = -2559*h**2 - 5*h + 6 + 2592*h**2 - 6. Let t(n) = 280*n**2 - 42*n. What is 42*l(j) - 5*t(j)?
-14*j**2
Suppose r - 42 = -13*r. Let b(p) = 3*p**2 - 3 - p**3 - 1 + 2*p + 2. Let... | {
"pile_set_name": "DM Mathematics"
} |
8 + 2561.6492. Let k = f + -10549688.000017. Let o = k + -41. Round o to 5 decimal places.
-0.00002
Suppose 3*m - 2*m - 7 = 0. Let v = -3 + m. Suppose 3*u - 41806 = 6*f - v*f, 10 = 5*u. What is f rounded to the nearest 1000?
-21000
Let h = 168.9 + -128. Round h to the nearest ten.
40
Suppose -6*w = 2*n - w - 9, -n + 2*... | {
"pile_set_name": "DM Mathematics"
} |
in -449, 5, -4?
-4
Which is the closest to -25? (a) -3/5 (b) 501 (c) 2/17
a
Which is the nearest to 1? (a) 0.4 (b) 0.16 (c) -3 (d) -2/15 (e) -2/63
a
What is the closest to -0.1 in 0.2, -34/7, -0.0674, 4?
-0.0674
What is the closest to 40 in -4/23, 6, -4?
6
Which is the nearest to 3? (a) 4 (b) 267/4 (c) -2/9 ... | {
"pile_set_name": "DM Mathematics"
} |
= x + 1. Let t = 6 + -2. Let b be z(t). Give a(b).
6
Let v(u) be the second derivative of -u**3/3 - 2*u**2 - u. Let t = 155 + -152. Calculate v(t).
-10
Let v = 31 + -37. Let h(d) = -d**3 - 6*d**2 - 6. Calculate h(v).
-6
Let r(q) = -9*q**3 - q - 1. Let b be (6/9)/((-6)/(-27)). Suppose 4*h - b = -11. Let t = -3 - h. What... | {
"pile_set_name": "DM Mathematics"
} |
8*q - 1. Let r be p(-8). Let o be (0 + -3)*10/30. Which is the nearest to r? (a) -26 (b) 1 (c) o
c
Let l be (4/(-8) + (-11)/(-110))*5/2. Which is the nearest to -10/7? (a) -4 (b) 2 (c) 2.7 (d) l
d
Let d(v) = -v**3 + 4*v**2 + 2*v - 4. Let h be d(5). Let w be 0*(-20)/(2240/28). Which is the closest to 3/2? (a) h ... | {
"pile_set_name": "DM Mathematics"
} |
uppose -4 = p + 2*u, -3*p + 4*u + 22 = 2*p. Let l be p/8 + (-14)/(-8). Give a(l).
-3
Let k(y) = -y + 4. Let l = 758 + -761. Give k(l).
7
Let c be (-7)/((-35)/(-25)) + (6 - 1). Let i(d) = -d**2 + d + 2. Determine i(c).
2
Let t(r) = 4*r - 2. Let o(f) = 2*f - 4. Let l be o(5). Let i be (5 + -1)/(l/(-3)). Determine t(i).
-... | {
"pile_set_name": "DM Mathematics"
} |
30, 2371, 5186?
8771
What comes next: 353737, 706764, 1059791, 1412818?
1765845
What is the next term in -231986, -232848, -233708, -234566, -235422, -236276?
-237128
What is next in -2380, -2705, -3046, -3403, -3776?
-4165
What is next in -1, 605, 2431, 6095, 12215?
21409
What comes next: -2382697, -4765352, -7147983,... | {
"pile_set_name": "DM Mathematics"
} |
h: 3, m: 1}. What is prob of sequence pmz?
1/80
What is prob of sequence ow when two letters picked without replacement from {o: 4, u: 3, w: 10, r: 1, y: 1}?
20/171
What is prob of sequence aah when three letters picked without replacement from {a: 2, h: 9}?
1/55
Three letters picked without replacement from qwjejqqeq... | {
"pile_set_name": "DM Mathematics"
} |
n.
-51
Express -7380 + 7380 - 65*s + 2*s + 0*s + 0*s + (-3 + 0 + 4)*(-2 + s + 2) in the form x*s + y and give x.
-62
Rearrange -1768*t + 1768*t - 114*t**2 to the form d*t**2 + b*t + l and give d.
-114
Express 3 - p**2 + 4 + 2 + (1 + 2*p - 1)*(-4 + p + 4) in the form g + x*p + y*p**2 and give g.
9
Express d**3 - 3*d**4 ... | {
"pile_set_name": "DM Mathematics"
} |
ssuming f is positive.
f**(-8/959)
Simplify q/q**(1/2)*q**(4/9) assuming q is positive.
q**(17/18)
Simplify (u**(-6/7))**4 assuming u is positive.
u**(-24/7)
Simplify ((q**(2/5))**(-8/3))**(-42) assuming q is positive.
q**(224/5)
Simplify (l/l**(4/11)*l)/(((l/l**20)/l*l*l)/l) assuming l is positive.
l**(227/11)
Simplif... | {
"pile_set_name": "DM Mathematics"
} |
True
Which is smaller: -1/180 or -35?
-35
Which is smaller: 331 or 334?
331
Which is bigger: -14.5 or -1/2?
-1/2
Is 2/2173 > 1?
False
Which is smaller: -60/37 or -1?
-60/37
Which is smaller: -0.1 or -2.6265?
-2.6265
Which is smaller: 35/13 or 2?
2
Are -49 and 4/5 equal?
False
Which is bigger: -377 or -379?
-377
Which i... | {
"pile_set_name": "DM Mathematics"
} |
22?
6
What is the remainder when 1288061 is divided by 2618?
5
What is the remainder when 2963483 is divided by 246945?
143
Calculate the remainder when 76694 is divided by 14043.
6479
Calculate the remainder when 11931 is divided by 594.
51
Calculate the remainder when 107080 is divided by 595.
575
What is the remaind... | {
"pile_set_name": "DM Mathematics"
} |
in 536.5474 micrograms?
536547.4
What is 47925.08 hours in seconds?
172530288
Convert 4327.494ug to grams.
0.004327494
Convert 5526.683 micrograms to kilograms.
0.000005526683
Convert 868.93155 minutes to days.
0.6034246875
Convert 0.7144583 grams to nanograms.
714458300
What is 5/8 of a kilogram in grams?
625
Convert ... | {
"pile_set_name": "DM Mathematics"
} |
s*h - 3*h for h.
-1
Suppose 48 = 3*b + 4*k, 6 = k + 3. Let u(r) = r**2. Let p be u(2). Suppose -t = -p*t + 6. Solve -t*m - b + 2 = 0 for m.
-5
Suppose 4*j = 4*g + 32, g + 4 = 4*j - 22. Solve 2*c = -4 - j for c.
-5
Suppose -s - 2*s + 2 = -2*n, -4*s + 3*n = -2. Solve 6 = 4*a - s for a.
2
Let j = 5 + -3. Let w = -26 - -28... | {
"pile_set_name": "DM Mathematics"
} |
to -8? (a) -12/13 (b) -2/9 (c) 0.1 (d) 2/3
a
What is the nearest to 2/9 in -9, 4, 0.004?
0.004
What is the closest to 2 in -3, 0, -5?
0
What is the nearest to 3/2 in 0.1, -1/3, 0.4, 0.06?
0.4
What is the nearest to -1.14 in 2, -8, -3?
-3
Which is the nearest to -0.1? (a) 5 (b) -2 (c) 0.022
c
Which is the nearest... | {
"pile_set_name": "DM Mathematics"
} |
Let -r**4/2 - 1310*r**3 - 2570*r**2 + 125520*r - 376992 = 0. What is r?
-2618, -12, 4, 6
Solve r**3/5 - 1357*r**2/5 + 236451*r/5 + 167370993/5 = 0.
-257, 807
Solve -4*i**3 - 32268*i**2 - 3133452*i - 76534276 = 0.
-7969, -49
Determine x so that -10*x**3 - 4164*x**2 + 2906376*x - 334756016 = 0.
-4102/5, 202
Let 2*v**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
0. Give f(-3).
-2
Let q(r) = -12*r - 3. Determine q(-2).
21
Let k(v) = -15*v**2 + 2*v - 1. Calculate k(1).
-14
Let s(o) = -o**2 + 4*o + 13. Determine s(7).
-8
Let r(y) = 40*y**2 + 3*y + 2. Give r(-1).
39
Let w(x) = x - 3. What is w(-2)?
-5
Let s(x) = -x**3 + 15*x**2 - 6*x - 29. Calculate s(15).
-119
Let q(i) = -3*i - 3... | {
"pile_set_name": "DM Mathematics"
} |
= r for x.
-4
Let v be (-4)/(8/(-5))*2. Let m = -12 - -17. Solve -r - 4*r = v, 9 = -2*y - m*r for y.
-2
Suppose 83 = -3*z + c, -c - 41 = -2*z - 97. Let y = z - -47. Suppose 5*l - 7 = -d, 3*l - 2 = d - 1. Solve 5*j - y = 5*o, 2*o + j - d = -2*j for o.
-2
Suppose -5*w = 4*g - 38, 0*w - 4*w - 5*g = -34. Let d be w/(-39) -... | {
"pile_set_name": "DM Mathematics"
} |
he power of 1/4, to the nearest integer?
20
What is the cube root of 10434 to the nearest integer?
22
What is the third root of 28224 to the nearest integer?
30
What is 23344 to the power of 1/2, to the nearest integer?
153
What is 579 to the power of 1/7, to the nearest integer?
2
What is 12954 to the power of 1/2, to... | {
"pile_set_name": "DM Mathematics"
} |
are there in 0.8550084 months?
0.0000712507
Convert 508357.3 weeks to seconds.
307454495040
How many millilitres are there in 438.146l?
438146
What is eleven quarters of a millennium in years?
2750
Convert 84948.98t to micrograms.
84948980000000000
What is 57968.69ml in litres?
57.96869
Convert 15.81573 millennia to d... | {
"pile_set_name": "DM Mathematics"
} |
+ 81)/13
Determine n, given that 68*n**3 - 138*n**2 - 200*n + 6 = 0.
-1, 1/34, 3
Find x, given that 2*x**2/11 + 358*x/11 - 724/11 = 0.
-181, 2
Factor d**2/3 + 176*d/3 + 7744/3.
(d + 88)**2/3
Factor 5*h**3 - 25*h**2 - 10*h + 120.
5*(h - 4)*(h - 3)*(h + 2)
Find l, given that 8*l**5 + 120*l**4 - 142*l**3 - 204*l**2 + 314... | {
"pile_set_name": "DM Mathematics"
} |
*q wrt q.
20*q**3
Differentiate -5 - 1 - 4*d**4 + 2 wrt d.
-16*d**3
Let p(k) be the first derivative of -k**8/84 - 5*k**4/12 + 5*k**2 - 11. Let f(h) be the second derivative of p(h). Find the second derivative of f(j) wrt j.
-80*j**3
Let x(t) = 27*t**3 - 7*t**2 - 4*t. Let f(w) = -w**3 - w**2 + w. Let h(c) = 4*f(c) + x(... | {
"pile_set_name": "DM Mathematics"
} |
to p? (a) 2 (b) 0.1 (c) -2/3
c
Let q = 348 + -353. What is the nearest to -2 in -4, 2/23, q?
-4
Let a = 0.5 - 0. Let u = 5.9086 + 0.0914. What is the closest to 1 in 0.3, u, a?
a
Let g = 28 - 27.8. What is the closest to -2 in -2/19, g, 0.4?
-2/19
Let i = 2 + -6. Let x = 0 - -1. Let u = 0.201 - 0.001. Which is the n... | {
"pile_set_name": "DM Mathematics"
} |
ound s to 1 decimal place.
-1.1
Let r = 3155879517492.999868 + -3155889535451. Let m = r + 10017990. Let s = m + -32. Round s to five decimal places.
-0.00013
Suppose 4*w = -2*q - 0*q + 58, w + 2*q = 22. Let b be 1/(w/(-15) + 1). Let i be (-1)/5 + (-31999999)/b. What is i rounded to the nearest one million?
-6000000
Le... | {
"pile_set_name": "DM Mathematics"
} |
o the nearest 1000000?
459000000
What is -0.000006491 rounded to 6 decimal places?
-0.000006
What is -67380 rounded to the nearest ten thousand?
-70000
What is 67907 rounded to the nearest one thousand?
68000
What is 0.00107818 rounded to 4 dps?
0.0011
Round 9125 to the nearest 100.
9100
Round -0.00030408 to 5 decimal ... | {
"pile_set_name": "DM Mathematics"
} |
rivative of p**5/60 - p**4/12 + p**3/3 + p**2/2 - p. Let l(c) be the first derivative of t(c). Is l(7) composite?
False
Suppose 7961 - 1034 = 3*x. Is x prime?
True
Let d(p) = 2*p + 1171. Is d(0) prime?
True
Let y(t) = -6*t + 13. Let n be y(11). Is 5 - (3 - 0) - n composite?
True
Let r(t) = 418*t**2 - 2*t - 1. Suppose 4... | {
"pile_set_name": "DM Mathematics"
} |
s = 0.2 + -1.2. Let m = s - -4. Let t = -1 + 1. Which is the closest to 1? (a) -5 (b) t (c) m
b
Let n = 18.89 - 19. Let w = 3.89 - n. Let p be 2 - 1 - 4/(-1). Which is the closest to -2/3? (a) w (b) p (c) -3/5
c
Let j = -36 - -36. What is the closest to -0.17 in -1/6, j, 5?
-1/6
Let b = 90 + -47. Let x = b - 29. ... | {
"pile_set_name": "DM Mathematics"
} |
s divided by (-18)/h - 3/(-15).
0
Let m(a) = -9 + a - 3*a**2 + 2*a**2 + 5*a + 2. Let t be m(6). Let z = t - -8. Calculate the remainder when z is divided by 1.
0
Suppose 2*a - 8 = -2, -5*g + 2*a + 119 = 0. Suppose -6*c + g = -c. What is the remainder when c is divided by (2/(-3))/((-4)/18)?
2
Let r(z) be the second der... | {
"pile_set_name": "DM Mathematics"
} |
))/v*v)**(-14)*(v/((v*v**11)/v)*v)**33 assuming v is positive.
v**151
Simplify (((((h*h**(1/5))/h)/h)**(-3/25)*h**(2/7)/h**8)**(-28))**(5/3) assuming h is positive.
h**(8888/25)
Simplify ((r*(r*r**(-4)/r*r)/r*r)**10*(r*r**(2/29))/(r*r**(-2/9)*r))**(-8) assuming r is positive.
r**(43240/261)
Simplify ((((u/u**(-2/21))/(... | {
"pile_set_name": "DM Mathematics"
} |
)/((t*t/(t*t**1*t))**(-36/7))**(-26) assuming t is positive.
t**(2840/21)
Simplify (w*w*w**(-2/3)*(w**4/w)/w*(w/w**(-4/7))/w*(w/w**4)/w)/((w**(-2/7))**(-20)*w**(-7)/w**(-7)) assuming w is positive.
w**(-122/21)
Simplify (((m*m**0/m*m)**(-22)*m**(-9)/m**(-1/9))**44)**46 assuming m is positive.
m**(-562672/9)
Simplify (g... | {
"pile_set_name": "DM Mathematics"
} |
2 + o + 2. Let r be w(6). Suppose 2*d + 5*h = 6*d - 28, r = -2*h. Sort -1, z, d in descending order.
d, z, -1
Let h be 0 + (-2 - 0) + 7. Let w = -6 + 4. Put w, h, -5 in descending order.
h, w, -5
Let h = -7 - -3. Let d = -244/357 + 2/119. Let n = 0 + 3. Put n, d, h in decreasing order.
n, d, h
Suppose -4*k + 14 = -2*c,... | {
"pile_set_name": "DM Mathematics"
} |
2*c = -10 for a.
2
Suppose 4*z - 8 = 12, 4*a + 2*z + 62 = 0. Let q = a - -15. Let s be ((-3)/4)/(q/(-2))*-16. Solve -h - s = -4*f, -3*f + 6*f = 5*h + 6 for f.
2
Let t(f) = f**3 - 6*f**2 - 52*f + 286. Let g be t(5). Solve -4*r - 3*x = -g, 6*r + 5 = 7*r - 4*x for r.
1
Let y be -5 + 9 - (3 + 0). Let r be (-4)/y + (-1 - (-... | {
"pile_set_name": "DM Mathematics"
} |
*3.
2*p**2*(2*p + 1)/3
Let k(t) be the second derivative of 0 - 1/10*t**5 + 1/3*t**4 + 1/3*t**3 - 6*t - 2*t**2. Suppose k(d) = 0. Calculate d.
-1, 1, 2
Let r(m) = m**3 + 6*m - 4*m**2 - 2*m**3 - 5 - 2*m. Let t be r(-5). Factor -2/7*l**4 + 2/7*l**3 + 0*l + t + 0*l**2.
-2*l**3*(l - 1)/7
Let h = -121 + 487/4. Factor -3/4*c... | {
"pile_set_name": "DM Mathematics"
} |
104 for z.
-4
Solve 165301*g - 5*i = 165304*g - 6, 0 = -2*g + 4*i + 4 for g.
2
Solve 3*v - 8*i = -431*i + 861, 0 = -3*v - i + 17 for v.
5
Solve 85049 = 5*f - 4*b + 85035, 70 = 13*f - 2*b for f.
6
Solve -9*h - 5*h - 79 = -18*h + 5*a, -372 = -2*h + 20*a for h.
-4
Solve -t - 21*c + 45 = 3*t, 40*c - 36*c + 8 = 64*t - 62*t ... | {
"pile_set_name": "DM Mathematics"
} |
-1ac (base 15) to base 6.
-1443
Convert 2375 (base 8) to base 15.
5a2
12763 (base 8) to base 16
15f3
What is 7e65 (base 15) in base 8?
64366
-110220 (base 3) to base 7
-1005
Convert 414320 (base 5) to base 2.
11010110001110
1656 (base 10) to base 11
1276
What is -1770 (base 12) in base 13?
-138c
What is 306 (base 12) ... | {
"pile_set_name": "DM Mathematics"
} |
lylyyy. Give prob of sequence lyle.
7/520
Calculate prob of sequence uyy when three letters picked without replacement from yyyuyuyuyuuuu.
35/286
Calculate prob of sequence nn when two letters picked without replacement from rsssrsnnsssn.
1/22
Four letters picked without replacement from {s: 3, e: 3, w: 5}. Give prob o... | {
"pile_set_name": "DM Mathematics"
} |
*y + 20*y - 86*y + 24*y.
-8*y
Collect the terms in -228 + 457 - 18*y - 229.
-18*y
Collect the terms in -168*z + 260*z - 190*z.
-98*z
Collect the terms in 3 + 21*k + 21*k - 4 + 5.
42*k + 4
Collect the terms in 2351*p**3 + 1157*p**3 + 4320*p**3.
7828*p**3
Collect the terms in 464 - 1403 + 466 + 473 + 4*r.
4*r
Collect the... | {
"pile_set_name": "DM Mathematics"
} |
biggest value in 2, -2, -1112, 3/11, 2/7, -92?
-2
What is the smallest value in 281, -2, -3, 2/3, 26, -0.3?
-3
What is the fourth biggest value in 0.07, -58272, -13, 3?
-58272
Which is the smallest value? (a) -1/3 (b) 21/839 (c) -14 (d) -21 (e) -4
d
What is the smallest value in 0.1, -1/8, -12/29, -1/3, -4/9?
-4/9... | {
"pile_set_name": "DM Mathematics"
} |
(b) -0.5 (c) w (d) 3
a
Let n = 0.7081 - 0.9081. Let v = -1.25 + 0.15. Let l = 0.8 + v. What is the nearest to n in -1/4, 3, l?
-1/4
Let f(p) = -p. Let s be f(-2). Let q be 0*5/(150/(-5)). Let n be (q/s)/(-3 + 4). Which is the nearest to 2/9? (a) -5 (b) -2/3 (c) n
c
Let v = -1 + 0.6. Let x = 0.01 + -5.01. Let r be ... | {
"pile_set_name": "DM Mathematics"
} |
*r, 7*r = 4*t + 5*r - 298. Calculate the highest common divisor of 16 and t.
8
Let j(p) = p**2 + 251*p - 4553. Let a be j(17). Suppose -2*t = -7*t + 75. Calculate the greatest common factor of t and a.
3
Let x be (-10)/(4/(-42)*1). Suppose 4*v + 2*a - 83 - 5 = 0, 29 = v + 4*a. What is the highest common factor of x and... | {
"pile_set_name": "DM Mathematics"
} |
Rearrange 7*a**3 + 3*a - 1 - a**4 + a**3 + 3*a**4 + 2*a**3 to the form d*a**3 + z*a + u*a**4 + h + t*a**2 and give h.
-1
Rearrange (w - 6*w + 2*w)*(-6 - 13 - 3) + (-w + 2 - 2)*(1 + 0 + 0) to x + o*w and give o.
65
Rearrange 8*t**3 - 8 - 6 + 3*t**4 - t**4 - 3*t**3 to z + a*t**3 + c*t**4 + s*t + p*t**2 and give z.
-14
Re... | {
"pile_set_name": "DM Mathematics"
} |
**3 - y**2.
181*y**3 - y**2
Collect the terms in 113538 + 114039 - 227577 + d.
d
Collect the terms in -712 + 1396*b**3 + 133*b**3 + 712 - 359*b**3.
1170*b**3
Collect the terms in -350*t - 204 + 75 + 71 + 57.
-350*t - 1
Collect the terms in 2132*g - 20190*g - 2743*g.
-20801*g
Collect the terms in 206*z**3 + 181*z**3 + 1... | {
"pile_set_name": "DM Mathematics"
} |
u - 63*u - 828. What is the remainder when u is divided by 9?
3
Let n = -115 + 153. Let y be (1 - -45)/((-4)/(-2)). Let u = n - y. What is the remainder when 43 is divided by u?
13
Suppose -42 = -30*t + 23*t. Suppose 0 = 2*v - 5*i + t*i - 19, 0 = 5*v + 5*i - 35. Let a = 235 + -165. Calculate the remainder when a is div... | {
"pile_set_name": "DM Mathematics"
} |
= -0.1576 - 747.8424. Let x = l + 747.99997415. What is x rounded to 6 dps?
-0.000026
Let o = -0.622357497 + 0.29565993. Let m = o - -0.3267. Round m to 6 dps.
0.000002
Let q = -0.2214 - -77.1294. Let x = q - 77. Let m = x - -0.1315. What is m rounded to three decimal places?
0.04
Let c = 16 - 44. Let x = 3 - c. Let s ... | {
"pile_set_name": "DM Mathematics"
} |
c*x - 12600. Round x to the nearest one thousand.
1000
Let z = 84924 + -84754.692. Let x = z - 170. Let h = x + 0.122. What is h rounded to one decimal place?
-0.6
Let b = 4827.08 + -4918. Let t = 90.3 + b. Round t to two decimal places.
-0.62
Let o = 838 + -837.98926. What is o rounded to two decimal places?
0.01
Let... | {
"pile_set_name": "DM Mathematics"
} |
x**2 + c**3*x - 3*c**2*x**2 + 52*c*i*x**2 + 2*c*i + 443*x wrt x?
-2*c**3*i - 6*c**2 + 104*c*i
What is the third derivative of 494*j**2*n**3*r + 2*j**2*n - j*n*r + n**2 wrt n?
2964*j**2*r
Find the second derivative of -c**5 + 2222*c**4 + 2*c - 200 wrt c.
-20*c**3 + 26664*c**2
Find the third derivative of d**2*u**3 + 273... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 838353*z**2 + (z**2 - 1 + 1)*(-3*z + 4 - 4) to j + f*z**2 + l*z**3 + u*z and give l.
-393
Rearrange -6*k**2 + 5*k**2 - 5*k**2 - 132*k - 47*k + 4*k**2 to the form m + f*k + y*k**2 and give f.
-179
Express -s**2 + 27*s**4 - s - 2 + 5882*s**3 - 5883*s**3 - 28*s**4 as p*s**4 + b*s + g*s**3 + j*s**2 + n and give g.
-1... | {
"pile_set_name": "DM Mathematics"
} |
is the o'th term of -48545, -48514, -48485, -48458, -48433, -48410?
-o**2 + 34*o - 48578
What is the h'th term of 1793, 14302, 48255, 114374, 223381, 385998?
1787*h**3 + 6
What is the l'th term of -110111, -110120, -110129, -110138, -110147, -110156?
-9*l - 110102
What is the x'th term of -3411, -6807, -10203?
-3396*x ... | {
"pile_set_name": "DM Mathematics"
} |
108))?
-6
Evaluate -2 + 2004/1320 - 8/(-44).
-3/10
Evaluate 3/(-4) - (-8541)/876.
9
What is 99/(-88)*(2 + 12/(-9))?
-3/4
(6/5)/((-25)/(-125)) - 2
4
What is the value of -5 + 9/(-3) - (1 + -4)?
-5
What is the value of (-6)/(-3 + ((-45)/(-2))/5)?
-4
Calculate ((-450)/(-525))/(4/(-14)).
-3
What is the value of (-7176)/(-8... | {
"pile_set_name": "DM Mathematics"
} |
- a, -2*m + 2*a = -16. Let h = z + m. Does 2 divide h?
True
Let f(w) = 2*w**2 - 8*w. Let z be f(6). Does 12 divide (-9)/2*(-128)/z?
True
Let y(l) = l**3 + l**2 - 17. Let i be y(0). Let v = 8 - i. Does 13 divide v?
False
Let u(w) = 25*w - 19. Is 37 a factor of u(9)?
False
Let l(i) = -2 - 2 - 3*i + 5. Is l(-3) a multiple... | {
"pile_set_name": "DM Mathematics"
} |
2 + o + t*k and give w.
8
Rearrange 12*v**4 + 2659*v**3 - 18*v**4 + 7 - 2660*v**3 + 3*v**2 - 4 to z*v**2 + f*v**4 + w*v**3 + x + d*v and give x.
3
Rearrange (3 + 0 + 0)*(2*j**3 - 2*j**3 + 2*j**3) + (1 - 1 - 1)*(-3*j + j**3 + 3*j) - 111*j + 111*j + 19*j**3 to the form r*j**3 + l*j + a*j**2 + x and give r.
24
Rearrange (... | {
"pile_set_name": "DM Mathematics"
} |
) = 35*r**2 + 1. Let z be i(q). What is the highest common factor of x and z?
18
Let p be (-2)/(-7) - 96/(-7). Suppose 27 = c - 1. Calculate the highest common divisor of p and c.
14
Let w(u) = 12*u - 10. Let h be w(10). Let f = 0 + 10. What is the greatest common factor of h and f?
10
Suppose -21*x = -17*x - 12. Let w... | {
"pile_set_name": "DM Mathematics"
} |
0*z. Give t(j(y)).
-9*y**2 - 3*y
Let r(k) be the third derivative of 10*k**4/3 + 9*k**2 - 44. Let h(m) = 6*m**2. Give h(r(n)).
38400*n**2
Let t(y) = -2445466943*y. Let z(q) = -q**2. Calculate z(t(f)).
-5980308569305765249*f**2
Let t(i) = -23 + 13 + 3 + 2*i + 4 + 5. Suppose 4*d + 4 - 16 = 0. Let l(u) = 0 + 0 - 2*u + d*u... | {
"pile_set_name": "DM Mathematics"
} |
is x rounded to the nearest one hundred?
-600
Let q = 32677 + -149790. Let l = 117114.000024 + q. Let f = l - 1. What is f rounded to 5 dps?
0.00002
Let d = -56165246 - -28065246. What is d rounded to the nearest 1000000?
-28000000
Let d = 23000671 - 23027532.9892. Let l = -26902 - d. Let w = 40 + l. Round w to three ... | {
"pile_set_name": "DM Mathematics"
} |
g + 3500?
1967304
Find the second derivative of -2*t**4 + 3*t**3 + 5448*t**2 + 48499*t.
-24*t**2 + 18*t + 10896
Find the second derivative of 540*y**4 + 12*y**3 - 18*y + 265 wrt y.
6480*y**2 + 72*y
What is the derivative of 2059641*k + 282094?
2059641
What is the second derivative of -1466*c**5 - 6*c**4 - 18*c**2 + 283... | {
"pile_set_name": "DM Mathematics"
} |
prime?
True
Let f = 556 - 67. Is f a composite number?
True
Let q(z) = 332*z - 5. Is q(2) a composite number?
False
Suppose 12*c - 6734 - 48718 = 0. Is c a composite number?
False
Let u(s) = s + 10. Let n be u(-7). Is 1/n + (-1424)/(-12) a prime number?
False
Suppose 3*x + 5*j - 3550 = -1303, 2*j = 0. Is x composite?
... | {
"pile_set_name": "DM Mathematics"
} |
hat is the smallest value in -8/9, -4/3, 0.4, 32?
-4/3
What is the third biggest value in 4, 0.1, -1.9, 1?
0.1
What is the third smallest value in -0.2, 0.04, 17?
17
Which is the biggest value? (a) 0.7 (b) 14 (c) -0.2
b
What is the second biggest value in -40, -0.5, 0?
-0.5
What is the fourth smallest value in -38, ... | {
"pile_set_name": "DM Mathematics"
} |
4).
-1
What is the value of 39/15 + (-3)/5?
2
Calculate 12/15*(3 + -13 + 15).
4
(-1 - 3) + 55/15
-1/3
Calculate 14/84*(-4)/2.
-1/3
(8/(-2))/(-17 - -3)
2/7
What is 3 - ((-258)/(-18) - 42/18)?
-9
What is the value of (-2)/16*(3 + -13 - -4)?
3/4
Calculate 2/(-14)*11/(33/(-6)).
2/7
-4 + (7 - (-250)/(-90))
2/9
What is 2/(-2... | {
"pile_set_name": "DM Mathematics"
} |
*6/160 - i**5/40 + 3*i**2. Factor b(c).
-3*c**2*(c + 1)*(c + 2)/4
Let i be 139/(-4) + 4 + -2. Let z = i - -33. Let -1/4 - 1/2*a - z*a**2 = 0. What is a?
-1
Solve -3/2*q - 3/4*q**2 - 1 - 1/8*q**3 = 0.
-2
Let p(v) be the second derivative of -v**8/448 + v**7/280 + v**6/160 - v**5/80 - v**2 - 2*v. Let k(l) be the first de... | {
"pile_set_name": "DM Mathematics"
} |
- 16*sqrt(7)
Simplify (4*(-6*(sqrt(1584) + 3 + sqrt(1584))*4 + (4 + sqrt(1584))*-3 + 2 + -1))**2.
1625472*sqrt(11) + 66029968
Simplify (6*3*sqrt(175)*-1)**2 + (-4*(sqrt(112) - (sqrt(112) + 1*sqrt(112))) + sqrt(112) + 2)**2.
80*sqrt(7) + 59504
Simplify -6*(((sqrt(363) + 2*sqrt(363) + -4)*-1)**2 + (0 + 0 + sqrt(363) + -... | {
"pile_set_name": "DM Mathematics"
} |
1/3, to the nearest integer?
96
What is 497987 to the power of 1/9, to the nearest integer?
4
What is the square root of 59726 to the nearest integer?
244
What is 352730 to the power of 1/2, to the nearest integer?
594
What is the cube root of 499752 to the nearest integer?
79
What is the third root of 8315156 to the n... | {
"pile_set_name": "DM Mathematics"
} |
-2)/6609) a composite number?
False
Suppose -3*x = 110 - 116. Is 26631/15 + x + 2/(-5) composite?
False
Let m = -11 + 8. Let t = -1 - m. Suppose 2*k = 5*j + 5, 3*k - t*k = 5*j - 5. Is k prime?
False
Let k(u) = u**2 - 9*u + 49. Let i(a) = 15*a**2 - 2*a - 2. Let w be i(-1). Is k(w) a prime number?
True
Suppose -5*c + 114... | {
"pile_set_name": "DM Mathematics"
} |
divided by o?
11
Suppose -q + 0*q + 67 = 4*a, -3*q + 5*a + 235 = 0. Calculate the remainder when q is divided by 19.
18
Suppose -4*t + 3*v - 4*v + 380 = 0, 0 = -5*t + 5*v + 450. Calculate the remainder when t is divided by 14.
10
Suppose l - 2*z = -4, -3*l - 6*z = -8*z - 4. Let b(n) = 20*n**2 - 2*n + 1. What is the re... | {
"pile_set_name": "DM Mathematics"
} |
n divisor of 98 and 4655?
49
What is the highest common factor of 135 and 81?
27
What is the greatest common divisor of 220 and 40?
20
Calculate the highest common divisor of 132 and 11748.
132
Calculate the greatest common divisor of 336 and 714.
42
Calculate the highest common divisor of 594 and 3402.
54
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
/10
Let q = -27693 - -27876. Which is smaller: q or 2746/15?
q
Suppose 4*a - 48*n = -53*n + 30, 3*a = -5*n + 30. Which is bigger: 13/49 or a?
13/49
Suppose 0 = 5*k + 125*x - 128*x + 4110, -5*x = 5*k + 4070. Is k at most -822?
False
Suppose 0 = 4*b + 3*x - 4*x, -3*b + x = 1. Let q be (10/5 + 0)/b. Suppose i = -2*r - 21,... | {
"pile_set_name": "DM Mathematics"
} |
Let m = 25.11 - x. Let i = m + -0.33. What is i rounded to the nearest integer?
21
Let a = 2272764 + -1065889. Let v = a - 1206869.40689. Let g = v - 5.6. Round g to 3 decimal places.
-0.007
Let p = 34296.000036394 - 34296. What is p rounded to 7 dps?
0.0000364
Let q = -1352 + 755.3. Let b = q - -565. Let s = -31.7002... | {
"pile_set_name": "DM Mathematics"
} |
Which is the closest to -1/3? (a) -0.3 (b) -3/8 (c) -5 (d) 13/10
a
Which is the nearest to 0.1? (a) -19/10 (b) 0.3 (c) 0.4 (d) 3/8
b
What is the closest to 2 in 0.1, 5, -8.9?
0.1
What is the nearest to -6 in 7, -1/4, 3/2, 2?
-1/4
Which is the closest to 2/5? (a) -10 (b) 0.5 (c) 15
b
What is the nearest to 0... | {
"pile_set_name": "DM Mathematics"
} |
the common denominator of -37/32 and 15/8.
32
What is the least common multiple of 1624 and 1015?
8120
Calculate the lowest common multiple of 21 and 939.
6573
What is the lowest common multiple of 203 and 1044?
7308
Calculate the common denominator of 73/32 and 45/16.
32
Calculate the lowest common multiple of 140 and... | {
"pile_set_name": "DM Mathematics"
} |
.
1/30
What is prob of picking 2 e, 1 j, and 1 n when four letters picked without replacement from {n: 2, j: 1, y: 1, u: 4, e: 2, c: 2}?
2/495
Two letters picked without replacement from {h: 2, k: 2, p: 3, a: 6, w: 4}. What is prob of picking 1 p and 1 k?
3/68
Four letters picked without replacement from fffcjjcccf. Gi... | {
"pile_set_name": "DM Mathematics"
} |
hat are the prime factors of (j/(-2))/(2/(-4))?
13
Suppose -3*z - 4*o + 63 = -o, -2*z + 5*o = -70. What are the prime factors of z?
5
Let a = -6 - -3. Let u be 1/(((-3)/a)/(-7)). List the prime factors of (u/(-21))/(1/39).
13
Suppose -61 = -5*k - 2*c, 4*k = -4*c - 12 + 68. Suppose 3*b - 16 = m + k, -b + 4*m + 20 = 0. S... | {
"pile_set_name": "DM Mathematics"
} |
**2 wrt t.
2*j**2 - 316
Differentiate 120*r**2 - 2*r - 30.
240*r - 2
Find the third derivative of -8*a**2*i**6 + 91*a**2*i**2 + a**2 - 25*a*i**6 wrt i.
-960*a**2*i**3 - 3000*a*i**3
Find the third derivative of 351*q**3*u - q**2*u - 6*q**2 - 6 wrt q.
2106*u
What is the third derivative of 3*g**3*m*v**3 + 5*g**3*m*v**2 -... | {
"pile_set_name": "DM Mathematics"
} |
f sequence teex?
1/252
What is prob of sequence ffo when three letters picked without replacement from {o: 1, f: 5, a: 1, y: 2}?
5/126
Calculate prob of sequence hooh when four letters picked without replacement from hohhhhohhhhhhhoh.
3/140
Two letters picked without replacement from {p: 2, b: 7, u: 3, j: 4, n: 3}. Giv... | {
"pile_set_name": "DM Mathematics"
} |
-6*j - 50 = 25*j + 105. Is -166 at least j?
False
Suppose 0 = -3*m + 2*g + 1, m - 7 = -g - 0*g. Let v be -1 + ((-1048)/16)/((-2)/(-4)). Let s = 138 + v. Which is smaller: s or m?
m
Let z be (-2 + 2533/2)*(-84)/(-18). Let w = 2944597/499 - z. Does 1 = w?
False
Let y(o) = -12*o**2 + 9*o - 9. Let i be y(1). Let a be (-3*2... | {
"pile_set_name": "DM Mathematics"
} |
1860 = -45*m. Suppose 19*w - 8 = m. Determine l so that 0 + 4/9*l + 2/9*l**w = 0.
-2, 0
Let j = -198 + 347. Suppose -18*v + 13 = -j. Factor 3 + v*a - 21/4*a**3 - 27/4*a**2.
-3*(a - 1)*(a + 2)*(7*a + 2)/4
Let u(v) = 2*v**3 + v**2 - 2*v - 3. Let d(m) = -9*m**3 - 76*m**2 - 1357*m - 2438. Let f(t) = -d(t) - 4*u(t). Solve f... | {
"pile_set_name": "DM Mathematics"
} |
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