text stringlengths 270 8.19k | meta dict |
|---|---|
4, what is -2130 + 10130030?
10121300
In base 2, what is 110000010011101000001 - 10?
110000010011100111111
In base 7, what is -456 - 22404?
-23163
In base 11, what is 2 + 1a6539?
1a6540
In base 13, what is 158282 + -231?
158051
In base 6, what is -2301201 - 3053?
-2304254
In base 15, what is 1 - 23364c?
-23364b
In bas... | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {a: 4, f: 1, i: 1, t: 4}. What is prob of picking 2 a and 2 t?
6/35
What is prob of picking 1 y and 1 h when two letters picked without replacement from lylllllhlll?
1/55
Three letters picked without replacement from {v: 7, u: 3, c: 2}. What is prob of picking 3 v?
7/44
Two letters picked witho... | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -4*b - 5*r = z, -3*r = 3*b + r + 9. Is (10736/4 - -2) + b a composite number?
False
Let l(x) = -x**2 + 2*x + 257. Suppose 2*j - 4*a + 12 = -a, 0 = -a + 4. Is l(j) a composite number?
False
Let n = 1696 - -331. Is n a prime number?
True
Let l = -69 - -320. Is l a composite number?
False
Suppose -6*s - 297 = -1... | {
"pile_set_name": "DM Mathematics"
} |
sequence tz when two letters picked without replacement from llvzotfv.
1/56
What is prob of sequence yty when three letters picked without replacement from yylyyyyyyybytttmfb?
15/272
Two letters picked without replacement from {u: 2, x: 2, s: 3, y: 9}. What is prob of sequence uy?
3/40
Three letters picked without rep... | {
"pile_set_name": "DM Mathematics"
} |
minus 0.3?
-141.3
What is -35 less than -1201?
-1166
0.4 + 0.315
0.715
Put together 0.1039 and -86.
-85.8961
Calculate -0.715859 - 3.
-3.715859
What is 253 take away -1.3?
254.3
Calculate 0.49 - 0.03.
0.46
Put together -11 and -86.
-97
Add together -6.2 and -2.6.
-8.8
Subtract -699755 from 0.
699755
What is 1 less tha... | {
"pile_set_name": "DM Mathematics"
} |
wrt r.
-84*r**2
Let v(a) = a**3 - 2*a**2 - a + 2. Let b(u) = 3*u**3 - 5*u**2 - 3*u + 5. Let t(q) = -4*b(q) + 10*v(q). What is the second derivative of t(w) wrt w?
-12*w
Let c(b) be the second derivative of -3*b**2 + 0*b**3 - 4*b - 1/6*b**4 + 0. Find the first derivative of c(h) wrt h.
-4*h
Let c(b) be the third derivat... | {
"pile_set_name": "DM Mathematics"
} |
*m
Find the second derivative of 8976*f*s**2 + f*s + 39*s**2 + 695815*s wrt s.
17952*f + 78
Find the second derivative of 47462*a**3*s**2 - 9*a**3*s + 17*a**3 + 12*a**2*s**2 - 2*a**2 - 73*a + 35*s wrt s.
94924*a**3 + 24*a**2
What is the third derivative of -3*a*i**3*v**2 + 12845693*a*i**3*v + 261689*a*i**2*v + a*i**2 +... | {
"pile_set_name": "DM Mathematics"
} |
2, -4*j - 34 = b. Let c = b - -25. Let z = 27 + c. Solve 2*u + z = -3*u for u.
-2
Let f be -5*(4 + (-69)/15). Suppose 5*o + g - 13 = -0*g, 6 = -f*o + 4*g. Solve 4*b = 14 + o for b.
4
Let j(l) = 10*l - 17. Let w(n) = 7*n - 11. Let m(z) = -5*j(z) + 7*w(z). Let p be m(5). Solve 2*s + p = s for s.
-3
Let v(l) = l**3 - 8*l*... | {
"pile_set_name": "DM Mathematics"
} |
8185?
8157
In base 2, what is 1110001111010111000001001 - 11?
1110001111010111000000110
In base 14, what is -1b6622c + -2?
-1b66230
In base 14, what is -263b4b - -9?
-263b42
In base 10, what is -1 - 1403490?
-1403491
In base 8, what is 137 - -7277216?
7277355
In base 4, what is 1 - 1110103031310?
-1110103031303
In base... | {
"pile_set_name": "DM Mathematics"
} |
uppose 1081 + 1763 = -6*r. Let n = -330 - r. Suppose 0 = 4*z - z - 54. What is the highest common factor of z and n?
18
Let c = 833 + -752. Calculate the greatest common divisor of 297 and c.
27
Suppose -z + 0 = -30. Suppose -3*t = 1274 + 313. Let j be t/(-7) + (-4)/7. Calculate the highest common factor of z and j.
15... | {
"pile_set_name": "DM Mathematics"
} |
est common divisor of k and 405.
5
Let z = 138 + -138. Suppose -6*o + 0*o + 720 = z. Let a be 87/6 + 2/4. Calculate the highest common factor of a and o.
15
Let z = 235 + -177. Calculate the highest common divisor of z and 1537.
29
Suppose 5*f - 68 = -3*m, 4*m = -3*f + 74 + 35. Suppose 345 = 2*u + 2*i - 97, 3*u - 3*i =... | {
"pile_set_name": "DM Mathematics"
} |
qrt(288) - -4*4*sqrt(288)) + sqrt(288)) + 0 + 1*(sqrt(288) + -3) + 2).
-444*sqrt(2) + 1
Simplify (6*-3*sqrt(147)*4 - (((-2*sqrt(147) - sqrt(147)) + -5 - sqrt(147) - sqrt(147)) + sqrt(147) + sqrt(147) + -2 + 5))**2*-1.
-699871 + 1932*sqrt(3)
Simplify (4*(2 + (sqrt(100) + 2*sqrt(100)*1)/(sqrt(16)/(sqrt(56)/sqrt(7)))))**2... | {
"pile_set_name": "DM Mathematics"
} |
(-1 - 3*t + 1) - 12 + 12 + t in the form v + z*t and give z.
-1181
Rearrange (-573*d + 788 - 361*d - 1563 - 1026*d + 777)*(10 - 5 + 3) to l + i*d and give l.
16
Express 22*n - 44*n**2 - 17*n - 5*n - 51*n**4 + 38*n**2 + 4 as q*n + h + z*n**2 + s*n**3 + c*n**4 and give q.
0
Rearrange (30 + 4 + 8)*(-m - m**3 - 3 + 2*m - 1... | {
"pile_set_name": "DM Mathematics"
} |
aastsitaa.
10/143
Calculate prob of picking 2 g when two letters picked without replacement from ggygggyyggyyyyyy.
7/40
Four letters picked without replacement from {c: 6, u: 6, a: 1, h: 1, p: 4}. What is prob of picking 1 u, 2 c, and 1 p?
2/17
Calculate prob of picking 1 h and 1 b when two letters picked without repla... | {
"pile_set_name": "DM Mathematics"
} |
6*r. Determine i(b).
1
Suppose -4*b - k + 6 - 2 = 0, 0 = 5*b + 4*k + 6. Let l(r) = 7*r**2 - 7*r - 4*r**2 - 2*r**3 + 4*r**b - 1 + r**3. What is l(6)?
-7
Suppose 0 = 6*l - 2*l. Let b(n) = -n**2 - 1. Let k(t) = -t**3 - 5*t**2 - t + 2. Let s(a) = -6*b(a) + k(a). Determine s(l).
8
Suppose -5*c + 36 = 3*v - v, -9 = -3*v. Let... | {
"pile_set_name": "DM Mathematics"
} |
- 13 = -5*t. Solve 2*p - 3*p = -t for p.
4
Suppose t = -5*j - 3*t - 14, 5*j + 6 = 4*t. Let d = j + 4. Let z = 6 - d. Solve m - z = -m for m.
2
Suppose -10 = -3*i - 1. Let a be (-10)/(-6)*(i - 0). Suppose -1 - a = -2*h. Solve -q = -0*q - h for q.
3
Suppose 7 - 1 = 3*c. Solve c*h = -0*h + 2 for h.
1
Let s = -30 + 35. Sol... | {
"pile_set_name": "DM Mathematics"
} |
Give prob of sequence vvoo.
91/3060
Two letters picked without replacement from {e: 10, u: 3, o: 3, b: 4}. Give prob of sequence ee.
9/38
What is prob of sequence xhgx when four letters picked without replacement from {h: 7, x: 5, g: 8}?
28/2907
Three letters picked without replacement from mmmmemettimmmtssm. Give prob... | {
"pile_set_name": "DM Mathematics"
} |
ber?
False
Suppose -577040 = -5*o + 710205. Is o a composite number?
True
Suppose 5*u + m + 208 = -125, -3*m = -5*u - 321. Is 303998/34 + u/561 prime?
True
Suppose 5*w = -11 + 1, -5*w = q - 35659. Is q prime?
False
Let z be (-34)/(-187) - (-214267)/11. Suppose 0 = 5*f - r - 24354, 0 = -4*f + r + 4*r + z. Is f prime?
Tr... | {
"pile_set_name": "DM Mathematics"
} |
7744204 and -27/2382832?
30976816
Find the common denominator of 79/36127611 and -88/452403.
252893277
What is the smallest common multiple of 526706340 and 45060?
526706340
What is the least common multiple of 274922 and 47470?
64606670
Calculate the least common multiple of 1629320 and 36432.
29327760
Calculate the l... | {
"pile_set_name": "DM Mathematics"
} |
)/21)?
3
What is the value of 151/(-17) + (-8165)/(-391) + -21?
-9
Evaluate 39/2*96/208.
9
What is the value of -17 - 9*(-1148)/252?
24
What is (-140)/(-54) + (4 - (8228/459 + -14))?
8/3
(-39)/(-70) - 2906/50855
1/2
Calculate 1 - 2*(-14)/21*(-2)/(-16).
7/6
((-232)/(-174))/(2 + (-16)/9)
6
Calculate 960/(-2240) - -2*(-24... | {
"pile_set_name": "DM Mathematics"
} |
4*w**6 + 3*w**4 - 3*w**4 wrt w?
-240*w**3
Suppose 2*f + k - 21 = -0*f, 57 = 4*f - 3*k. Suppose -r - f = -5*r. What is the first derivative of 1 + r - 6*x + 4 - 1 wrt x?
-6
Let j(x) be the third derivative of 55*x**8/112 - x**7/210 - 5*x**4/2 - x**3/6 - 2*x**2 + 140*x. What is the second derivative of j(u) wrt u?
3300*... | {
"pile_set_name": "DM Mathematics"
} |
143305374 + l. Let f = y + -66. Round f to six decimal places.
0.000011
Suppose -5*u = u + 480000. Round u to the nearest one hundred thousand.
-100000
Let z(q) = -16*q**2 - 5*q + 10. Let x be z(7). Let r = 1149 + x. Round r to the nearest 100.
300
Let c = -68 + 68.00000145. Round c to seven decimal places.
0.0000015
... | {
"pile_set_name": "DM Mathematics"
} |
b**2 + 0 + 0) + 4*b**3 - 6*b**3 + b**3.
b**3
Expand (2 - 2 - 2)*(322 + 20*x - 322).
-40*x
Expand (-4 + 4 - 11*f)*(-2*f + 3 - 3)*(4 + 3 - 6) - 1 + 1 - f**2.
21*f**2
Expand (-3 + 3 - 2*c)*(2*c**4 - 2*c**4 + 2*c**4) + (-5*c**2 - 3*c**2 - 2*c**2)*((-1 + c**2 + 1)*(5*c - c - 3*c) - 3*c**2 + 9*c**3 + 3*c**2).
-104*c**5
Expan... | {
"pile_set_name": "DM Mathematics"
} |
, to the nearest integer?
28
What is the third root of 62100072 to the nearest integer?
396
What is the third root of 193976927 to the nearest integer?
579
What is the seventh root of 93474709 to the nearest integer?
14
What is 122574190 to the power of 1/5, to the nearest integer?
41
What is the cube root of 388250947... | {
"pile_set_name": "DM Mathematics"
} |
).
-1
Let d(q) = 2*q**3 - 4*q**2 + 2*q. Give d(2).
4
Let q(z) = -z**2 - 8*z - 17. Determine q(-3).
-2
Let w(j) = -j**2 - 7*j - 12. Give w(-8).
-20
Let p(d) = -d**3 + 2*d**2 - 14. Determine p(0).
-14
Let k(j) = j**3 - 10*j**2 - 12*j - 2. What is k(11)?
-13
Let r(k) = k**3 + 29*k**2 + 26*k - 61. Calculate r(-28).
-5
Let ... | {
"pile_set_name": "DM Mathematics"
} |
**(89/7)
Simplify (q/((q**11*q)/q))/((q/(q**(-1/2)/q*q))/q*q*q)*q**(2/31)/(q**(-8)/q) assuming q is positive.
q**(-213/62)
Simplify ((d*d/d**(-5))/d**(2/5))**2 assuming d is positive.
d**(66/5)
Simplify ((h**(-3)*h*h*h)**(-1/35))**0 assuming h is positive.
1
Simplify (n**1)**12*(n/((n*n/(n*n**5)*n)/n))/n**2 assuming n ... | {
"pile_set_name": "DM Mathematics"
} |
32*n + 22. Let f be s(10). Solve -f*l = 5*v - 28, -4*l - 41 + 67 = 5*v for v.
6
Suppose -12*s + 10 + 33 = -89. Solve -5*g - 12 = -s*c + 9*c, 3*c = 3*g for g.
-4
Suppose 3390*u - 3358*u = 0. Suppose 0*y - 4 = y, 4*x = 3*y + 64. Solve -3*p + u*p + x = i, -3*i - 5 = -2*p for i.
1
Let p(o) be the first derivative of -o**4/... | {
"pile_set_name": "DM Mathematics"
} |
l) = -529*l - 20. Let a(i) = -176*i - 7. Let z(c) = 8*a(c) - 3*v(c). Is z(b) prime?
True
Suppose -55017 = -7*q + 26162. Is q a prime number?
True
Is -6 - (5/1 + -2932) a prime number?
False
Suppose 7*u - 8*u + 30483 = 4*r, 4*r = 4*u + 30488. Is r composite?
False
Let g(a) = -2*a**3 + 9*a**2 - 2*a - 12. Let i be g(4). I... | {
"pile_set_name": "DM Mathematics"
} |
ate the highest common factor of 21 and 357.
21
What is the greatest common divisor of 3 and 12?
3
What is the highest common divisor of 3 and 537?
3
What is the greatest common divisor of 17693 and 65?
13
Calculate the highest common divisor of 26 and 325.
13
Calculate the greatest common divisor of 44 and 462.
22
Wha... | {
"pile_set_name": "DM Mathematics"
} |
3 - 7*n**2 - 2*n - 5*n. What is p(7)?
-59
Let t(p) = -56*p + 515. Let z(j) = j + 111. Let k(v) = t(v) - z(v). Determine k(7).
5
Let f be 3*1*(-3)/(-2)*50/225. Let t(n) be the first derivative of -n**2 + n + 7. Calculate t(f).
-1
Let t(i) = 19*i + 3 - 57*i + 0*i**2 + 16*i + 18*i + 3*i**2. Let s be (-64)/(-36) + 2/9. Cal... | {
"pile_set_name": "DM Mathematics"
} |
*z + 1. Let p(l) be the first derivative of g(l). Factor p(v).
-2*v*(v + 1)**2/7
Let j be (-7 - 3)*(-1)/(-2) - -5. Factor 2/9*r**3 + 0 - 2/9*r + j*r**2.
2*r*(r - 1)*(r + 1)/9
Find l, given that 6*l**3 + 10*l**2 - 10*l**4 - 6*l - l**2 + l**4 = 0.
-1, 0, 2/3, 1
Let i = 20 - 17. Factor -2*v + 0 + 2*v**2 - 1/2*v**i.
-v*(v ... | {
"pile_set_name": "DM Mathematics"
} |
((-272)/10)/4*5. Let j = m + 60. Does 8 divide (-212)/(-7) + j/(-91)?
False
Let a = -1692 + 2722. Suppose -5*w = -4*s - a, -5*w = 2*s - 5*s - 1035. Is 15 a factor of w?
True
Suppose 9*o = 6*o + 12. Suppose -22 = -s + b, b = o*s + 24 - 124. Is 13 a factor of s?
True
Suppose 3*i = -4*a + 420, 0*i - 4*i + 560 = 4*a. Is i... | {
"pile_set_name": "DM Mathematics"
} |
).
-5*j**2
Let l(i) = i - 1. Let r be (5 - (-23)/(-5))/(2/(-20)). Let b(k) = -3*k + 3. What is r*b(v) - 11*l(v)?
v - 1
Suppose -5*h + h = 16. Let a be 3/(-2)*(-8)/h. Let u(l) = -4*l - 5. Let i(v) = -5*v - 6. Give a*i(z) + 4*u(z).
-z - 2
Suppose 0 = 3*t + 10 + 2. Let u(o) = -5*o - 1. Suppose -5*j - 4*v - 30 = -9*v, 4*j ... | {
"pile_set_name": "DM Mathematics"
} |
divisor of 8 and s?
8
Let z be (5 - 4) + (-3 - 0). Let k be z/(-4)*(11 - -1). Let j be (-340)/(-14) - (-2)/(-7). Calculate the greatest common divisor of k and j.
6
Suppose 2*a + 47 = 4*z - a, -3 = 3*a. What is the greatest common factor of 44 and z?
11
Let g(h) = h**3 - 6*h**2 - 5*h - 9. Let z be g(7). Suppose -z*y +... | {
"pile_set_name": "DM Mathematics"
} |
h*(-1 + (-7)/(-2))?
40
Suppose 33 = 5*k - 4*u, 0*u + 18 = 2*k - 4*u. Suppose -5*r + 102 = -3*d, k*r - 78 = -4*d + d. What is the smallest common multiple of r and 18?
18
Let c = -47 - -84. Let i = -16383 + 327567/20. Calculate the common denominator of i and c/(-12) - 6/(-9).
60
Let c be 9/(-6)*1*10. Let g = -10 - c. ... | {
"pile_set_name": "DM Mathematics"
} |
9840 - -9229/421511548. Let c = a - -9/7495. Calculate the common denominator of c and 83/22.
3696
Let m be (0 - (-14)/63) + (-2275)/(-9). Let u = -245 + m. Calculate the smallest common multiple of u and 10.
40
Suppose -8*q + 14 = 102. Let x = 66901/8 + -8374. What is the common denominator of q/((-924)/(-24)) - (-974... | {
"pile_set_name": "DM Mathematics"
} |
415, 585, 755, 925?
170*w + 75
What is the v'th term of -102, -195, -286, -375, -462, -547, -630?
v**2 - 96*v - 7
What is the u'th term of 41, 398, 993, 1826, 2897, 4206?
119*u**2 - 78
What is the y'th term of -313, -583, -853, -1123?
-270*y - 43
What is the l'th term of -9889, -9892, -9895, -9898, -9901, -9904?
-3*l ... | {
"pile_set_name": "DM Mathematics"
} |
-183. List the prime factors of h.
2, 3, 7
Let h = 145 - 73. Let o = 39 + -35. Suppose h = 7*l - o*l. What are the prime factors of l?
2, 3
Let i be 2 - (-1 + 0 - -20). Let g = i - -33. What are the prime factors of g?
2
Let y(b) = b**2 + 1. Let x be y(2). Suppose 0 = -x*u - 4*w + 189, w = 2*u + 5*w - 66. What are the... | {
"pile_set_name": "DM Mathematics"
} |
t l.
-239592*l
Differentiate 2*p**3*y - 480*p**3 - 2*p**2*y - 5*p**2 + 276*y wrt y.
2*p**3 - 2*p**2 + 276
Find the second derivative of -2142767*w**4 - 936*w - 1461.
-25713204*w**2
Find the first derivative of 65*a*y**2 + 8*a*y - 36*a - 62*y**2 - 2872*y wrt a.
65*y**2 + 8*y - 36
Find the first derivative of -5856021*p ... | {
"pile_set_name": "DM Mathematics"
} |
*t - 16*t**2 in the form j*t**2 + a*t + u and give j.
-16
Express -311*f - 306*f + 617*f + 1 + 56*f**2 + 94*f**2 as g*f + b + p*f**2 and give b.
1
Express -2*n**3 + 740999 + 2*n + 731*n**2 - 740999 as r*n + m + k*n**2 + h*n**3 and give r.
2
Rearrange (-1519 - 196 - 245 - 301)*(-4*o**3 + 4*o**3 - 3*o**3) to the form z*o... | {
"pile_set_name": "DM Mathematics"
} |
+ 1 + 1, f*y - 3*b - j = 0 for y.
3
Suppose 0 = -h - 0 + 5. Solve -3*g = -h*z - 31, -3*z + 2*g - 23 = -2*g for z.
-5
Suppose -p + 20 = 4*p. Solve -2*v - 3*n = -2, 3*v - p*n = -n - 27 for v.
-5
Suppose 27*o = 26*o. Suppose -2*m + 9 = m. Solve -m*w + 6 = o, 5*j + 23 = w - 2*w for j.
-5
Let x = -2 - -2. Let m(b) = b - 2. ... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*b - 3. Is v(l) composite?
False
Let x = -3191 - -8172. Is x a prime number?
False
Let s(v) = 1169*v**2 + 4*v - 2. Let b be (-6)/(-4)*(-12)/(-18). Is s(b) prime?
True
Suppose -12*w = -6*w - 9906. Is w composite?
True
Let c(h) = 131*h**2 + 41. Is c(14) a composite number?
False
Let o be (-12579)/(-35) + (-2)/5. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when 564 is divided by s(6)?
4
Suppose 318 = 8*p + 238. Let d(l) = -3*l**3 + 32*l**2 - 3*l - 5. What is the remainder when d(p) is divided by 21?
18
Suppose -5*l - l - 1170 = 0. Let s = 315 + l. What is the remainder when s is divided by 32?
24
Let u(b) = -18*b - 286. Calculate the remainder when 38 is... | {
"pile_set_name": "DM Mathematics"
} |
55*v - 6*o for v.
-5
Solve -6*q - 2*k - 8 = 0, 48*q - k + 12 = 43*q for q.
-2
Solve -217 = k + 4*a - 237, k - 5*a = 2 - 9 for k.
8
Solve 0 = -4*z - 5*q + 14, -23 + 47 = -0*q + 4*q for z.
-4
Solve 4*w = 4*b - 56 + 8, 0 = -4*w + 5*b - 58 for w.
-2
Solve -25 = -4*r + 2*g - 33, -4*g = -24 for r.
1
Solve -4*k + 7*k + 47 = -... | {
"pile_set_name": "DM Mathematics"
} |
-7*q = -4*q. Suppose -4 = 2*j + 4*x, q = -2*x - 2 - 2. Let r(v) = v**2 + 51*v - 4041. What is the lowest common multiple of r(43) and j?
2
Let m = 1494 - 1025. Let v = 490 - m. Let z(f) = f**3 - 3*f**2 - f. What is the lowest common multiple of v and z(4)?
84
Let a(g) = 19 - 35 + 12*g + 22. Let f be a(3). Suppose -51*... | {
"pile_set_name": "DM Mathematics"
} |
). Suppose 2*v - 3 = 3*v. Let x(d) = d**3 + 4*d**2 + 3*d + 1. Let i be x(v). Solve u + f + i = -3, p = 4*u - 2*f for u.
1
Let v be (1 - (0 - 2)) + 1. Suppose 0 = v*m + 4, 0 = -4*i + 7*m - 3*m + 48. Let f = i - 7. Solve -4*x + 5*r = -15, -r = f*x - 2*r - 19 for x.
5
Suppose l - 39 = -37. Solve -3*j + 4*x + 3 = 0, 0*j + ... | {
"pile_set_name": "DM Mathematics"
} |
1/5
Sort -3, -109, 1, -1 in increasing order.
-109, -3, -1, 1
Sort 5, -13, -27 in ascending order.
-27, -13, 5
Put -0.5, 2, 2/9, 8, -3 in ascending order.
-3, -0.5, 2/9, 2, 8
Sort 7, -4, 4, -5 in decreasing order.
7, 4, -4, -5
Put -6, 0, -0.11 in descending order.
0, -0.11, -6
Put -1, 0, -3, 238, -2 in descending order... | {
"pile_set_name": "DM Mathematics"
} |
d?
4750
How many millilitres are there in 44/5 of a litre?
8800
What is 3/25 of a tonne in kilograms?
120
How many millilitres are there in 32222.2 litres?
32222200
What is 49/4 of a decade in months?
1470
What is 8/15 of a decade in months?
64
What is 13/5 of a litre in millilitres?
2600
How many decades are there in ... | {
"pile_set_name": "DM Mathematics"
} |
9006?
4
What is the tens digit of 294318?
1
What is the units digit of 24539?
9
What is the hundred thousands digit of 1067321?
0
What is the tens digit of 4454885?
8
What is the hundred thousands digit of 207656?
2
What is the units digit of 5142873?
3
What is the hundred thousands digit of 418836?
4
What is the milli... | {
"pile_set_name": "DM Mathematics"
} |
from {i: 1, q: 1, n: 2, g: 2, t: 2, k: 1}.
1/72
What is prob of sequence ve when two letters picked without replacement from aveaombm?
1/56
Two letters picked without replacement from {w: 1, n: 2, b: 2, c: 2, l: 1}. Give prob of sequence ln.
1/28
Calculate prob of sequence qqcu when four letters picked without replacem... | {
"pile_set_name": "DM Mathematics"
} |
rs picked without replacement from leshe.
1/30
What is prob of sequence pg when two letters picked without replacement from {t: 2, g: 2, v: 3, p: 4}?
4/55
Calculate prob of sequence pn when two letters picked without replacement from pppfpppnfnfpffhpnp.
3/34
Four letters picked without replacement from {y: 1, o: 3, w: ... | {
"pile_set_name": "DM Mathematics"
} |
2 - 35*w**2 - 36536*w**4 - 6*w - 1 in the form m*w**3 + p*w**2 + a + h*w + i*w**4 and give a.
1
Express 2*h + 109053 - 111782 - 4*h in the form o*h + f and give f.
-2729
Express -10*l**2 + 3*l + 5978*l**3 - l - 5558*l**3 + 8*l**2 in the form q*l**2 + c + g*l + k*l**3 and give g.
2
Rearrange 12759 - 12779 - 55*q - 6*q t... | {
"pile_set_name": "DM Mathematics"
} |
- 4074*u + 4077*u - 3 = 0 for z.
-3
Solve -132*x + 135*x - 9 + 0 = -3*z - 3, 0 = -3*x + 6 for z.
0
Solve 24*i = 180514*k - 180518*k, -4*k = 0 for i.
0
Solve l - 11 = 105*d - 104*d, 3*d = 4*l - 51 + 5 for d.
2
Solve 3*h + 3*g - 10030 = -h - 10129, 0 = h + 21*g + 612 for h.
-3
Solve 43652*b - 43653*b - 5*n = 10, -6 = 3*... | {
"pile_set_name": "DM Mathematics"
} |
y**(-17384/455)
Simplify ((i**(2/5)*i*i)**(4/13)/(i**(-20/3)/(i*i*((i/((i/i**(1/17))/i*i*i*i))/i)/i)))**(-48) assuming i is positive.
i**(-289808/1105)
Simplify ((r/r**2)/(r/r**(-1/4)))**(-25)*(r**(2/7))**(2/47)*(r**(1/4)*r)/(((r/((r/(r/r**(6/7))*r)/r))/r)/r) assuming r is positive.
r**(39065/658)
Simplify (d*d*d**13/d... | {
"pile_set_name": "DM Mathematics"
} |
5.801912ml?
0.005801912
What is thirteen fifths of a micrometer in nanometers?
2600
How many milligrams are there in 6.398651ng?
0.000006398651
How many millimeters are there in 7/8 of a meter?
875
What is one tenth of a kilometer in centimeters?
10000
What is 6/25 of a century in years?
24
How many hours are there in ... | {
"pile_set_name": "DM Mathematics"
} |
ghest common factor of 6 and p?
6
Let r = 29 + 6. Calculate the greatest common factor of 14 and r.
7
Let g = 8 - 6. Suppose 2*s + g*x = 4*x + 158, 5*s = x + 399. Let h be s/6*9/6. Calculate the highest common divisor of h and 4.
4
Let s be (-1)/(-2)*(0 - -10). Let z = -2 + s. Suppose -z - 7 = -i. Calculate the highest... | {
"pile_set_name": "DM Mathematics"
} |
b = n + 27, 4*b + a = 5*n. Is n a composite number?
False
Suppose 0 = o + o - 4. Let q(f) = -o*f**2 - 33*f**3 + 0*f**2 + 2 - 1 - f. Is q(-2) a composite number?
True
Let l be (-2)/(-5) - (-88)/5. Suppose -2*d + l + 8 = 0. Is d prime?
True
Suppose 0 = 5*d - b - 54, 5*b = 6*b + 4. Suppose d = 2*u - 12. Is u prime?
True
S... | {
"pile_set_name": "DM Mathematics"
} |
e 15 - ((3 - -6) + 5 + -7).
8
Calculate -8 + 12 + (-12 - -12).
4
-8 + 8 - 4 - (0 - -2)
-6
Calculate -3 + 3 + (2 - 2) + -3.
-3
What is -3 - (-7 - (2 - (-10 - -6)))?
10
Evaluate 8 + -4 + -6 + -1.
-3
115 + -113 - (0 + 1 + -3)
4
What is the value of -3 - (6 - (2 + -3) - 0)?
-10
1 - 7 - (-16 - (7 + -20))
-3
Evaluate (-42 - ... | {
"pile_set_name": "DM Mathematics"
} |
33 (base 12) to base 13.
30
Convert -23 (base 4) to base 11.
-10
Convert 13 (base 16) to base 15.
14
What is -2200 (base 3) in base 13?
-57
-1111 (base 2) to base 14
-11
Convert 7 (base 10) to base 16.
7
-36 (base 7) to base 12
-23
Convert -13 (base 8) to base 16.
-b
Convert 13 (base 16) to base 9.
21
-200 (base 4) to ... | {
"pile_set_name": "DM Mathematics"
} |
4 - (-5 + 13 + -6))?
1
(-25 - -26) + -1 + 2
2
What is -2 + (-4 - (3 + (-5 - 1)))?
-3
What is the value of 10 + (-12 - -2 - -8)?
8
What is the value of (8 - (5 + -4)) + 0?
7
What is (0 - (5 - 5)) + -3?
-3
What is the value of (0 - 3) + 20 + -16?
1
Calculate -3 + -1 + 6 + -2.
0
What is the value of (-5 - 3) + 3 + 4?
-1
W... | {
"pile_set_name": "DM Mathematics"
} |
se v + 3 = 3*q. What is the remainder when 0 + 4 + (-7 - -4) is divided by q?
0
Suppose 5*a + 2*d + 100 = 6*a, -d + 467 = 5*a. Suppose 2*o = -o - 4*y + 45, -4*y - 88 = -4*o. Calculate the remainder when a is divided by o.
18
Let g = -60 - -38. Let q = g - -38. Suppose 51 = 7*s + q. Calculate the remainder when 18 is di... | {
"pile_set_name": "DM Mathematics"
} |
next term in -104904, -104467, -104030?
-103593
What is next in 92262088, 184524184, 276786280, 369048376, 461310472, 553572568?
645834664
What is next in 8906, 8869, 8794, 8663, 8458, 8161, 7754, 7219?
6538
What comes next: 31870, 33384, 34898, 36412, 37926?
39440
What comes next: -5275, -5121, -4897, -4573, -4119, -... | {
"pile_set_name": "DM Mathematics"
} |
u) = 2*u + 3. Calculate n(y).
-7
Let y(z) = z**2 + 11*z + 1. Let k(g) = g. Let c(w) = 5*k(w) - y(w). Determine c(-6).
-1
Let c(x) = -2*x**3 + x**2 + 2*x - 1. Let w = -7 - -9. Determine c(w).
-9
Let f(s) = 11 + 2*s + 13 - 21. What is f(-3)?
-3
Let z(y) = y**2 + 5*y - 1. Let o be (-1 - (-68)/(-20)) + 2/5. Give z(o).
-5
L... | {
"pile_set_name": "DM Mathematics"
} |
6)?
3/11
(-2)/(-4)*7*(-456)/27132*782
-46
Calculate ((85/(-544))/((-2)/(-8)))/(6/21*-35).
1/16
((-2)/(-8))/(((-45)/1590)/(564/(-47)))
106
(-1233)/137*(340/(-20))/((-9)/3)
-51
What is the value of 36/608*32/(-21)*-7?
12/19
What is the value of (-65)/((-3575)/22)*(-65)/4?
-13/2
What is ((-5248)/(-512))/((64/(-8))/32)?
-4... | {
"pile_set_name": "DM Mathematics"
} |
0)/9 - -4)*-6 - -3596. Let i = y - 2279. Is i a composite number?
True
Suppose 5*f + 5*j = 731955, -131*f = -126*f - 4*j - 732027. Is f composite?
True
Suppose -22*u - 53 + 141 = 0. Let q(y) = 431*y**2 - 2*y + 25. Is q(u) prime?
False
Let a(g) = 746*g**2 - g - 17. Is a(6) a composite number?
False
Let q = 293 + -202. L... | {
"pile_set_name": "DM Mathematics"
} |
*g + 2*g - 36 = 0. Suppose 0 = -h + 4*h - g. Solve 9 = -h*d - 0*d for d.
-3
Suppose -4*d - 3*q - 60 = 0, -5 = d + 3*q + 1. Let u be d/(-15)*80/6. Solve 5*j - j = u for j.
4
Suppose y = -2*b + 78, 2*b - 68 = -0*b + 4*y. Let c = b + -3. Let s = c - 13. Solve -4*i + s = 2 for i.
5
Suppose -5*n = -3*o - 29, 2*n = -3*n - o ... | {
"pile_set_name": "DM Mathematics"
} |
520)/(-108). Let q = u + 506. What is the hundreds digit of q?
3
Let c(g) = 232*g + 82. Let i be c(9). Let w = -1154 + i. What is the tens digit of w?
1
What is the units digit of (10233/(-4 - -7))/1?
1
Suppose 9*s = -y + 5*s + 6414, 5*y + 4*s - 32054 = 0. What is the tens digit of y?
1
What is the units digit of 0 - -... | {
"pile_set_name": "DM Mathematics"
} |
8/(-12)*-15*40/50. Suppose 0 = -2*q - l - i, 0 = 2*a + 3*q - 226. Is a a prime number?
False
Let g be 1 - (-1 + 3)/(-2). Suppose -4*l + 3 = g*x + 1, x - 16 = -5*l. Let h(o) = 5*o**2 + 10*o - 16. Is h(x) a composite number?
True
Let u = 6685 + -1592. Is u composite?
True
Suppose 0*l + 3*k = -l + 15, 4*l = -2*k + 20. Sup... | {
"pile_set_name": "DM Mathematics"
} |
Collect the terms in 2180*l**2 - 4704*l**2 + 2570*l**2.
46*l**2
Collect the terms in 32557*q**2 + 32517*q**2 - 97586*q**2 + 32516*q**2.
4*q**2
Collect the terms in 21 - 2 + 190*c**2 - 15 - 4.
190*c**2
Collect the terms in -8 - 3*l**3 + 0*l**3 + 13.
-3*l**3 + 5
Collect the terms in -552786 - 12*n**3 + 552786.
-12*n**3
... | {
"pile_set_name": "DM Mathematics"
} |
+ -13 + -3)/((-2)/10) a multiple of 40?
True
Let q be 7/2 + 10/(-20). Let t(r) = 10*r**2 - r - 10. Is 7 a factor of t(q)?
True
Let o be -6 + (-7)/(42/4404). Let k = o + 1196. Is 9 a factor of k?
False
Let g(z) = 10*z**2 + 11*z - 113. Is g(-10) a multiple of 22?
False
Let t = 365 - 124. Let o = t - 115. Is 8 a factor of... | {
"pile_set_name": "DM Mathematics"
} |
6860.
2, 5, 61, 151, 1613
List the prime factors of 2876499017.
7, 3329, 123439
What are the prime factors of 1439051821?
1439051821
What are the prime factors of 474921972?
2, 3, 7, 1884611
What are the prime factors of 32526707?
727, 44741
What are the prime factors of 345328099?
89, 3880091
List the prime factors of... | {
"pile_set_name": "DM Mathematics"
} |
+ 61*g)*(-1 + 1 - 1)*(6 + 1 - 5).
-424*g
Expand -150 + 150 + 24*x**2 + (-1 + 1 + 3*x)*(-2*x - 1 + 1) + 2*x**2 + 4*x**2 - 5*x**2.
19*x**2
Expand (0*w**2 + 4*w**2 - 2*w**2)*(2 - 2*w - 2) - w - w**3 + w - 2*w**3 + w**2 - w**2 - 3*w**3 + 2*w**3 + 2*w**3 - 12*w**3 + 11*w**3 - 239*w + 0*w.
-7*w**3 - 239*w
Expand (108*k + 89*... | {
"pile_set_name": "DM Mathematics"
} |
w - 178 + 67*w**2 - 262*w**2 as j*w + f*w**2 + h and give f.
-195
Express 15*u**4 - 12*u**4 - 222*u - u**4 + 76*u - 2 - 3*u**4 as t*u**2 + q*u**4 + m + k*u**3 + v*u and give m.
-2
Rearrange (4 + 11 + 22)*(r + 5*r - 4*r)*(-3 + 3 + 3*r) to g*r**2 + u*r + c and give g.
222
Rearrange 29*m**3 + 351*m**2 - 121*m**2 - 116*m**... | {
"pile_set_name": "DM Mathematics"
} |
-582 + 68*sqrt(2)
Simplify (sqrt(6)/(sqrt(128)*-2)*5 - (sqrt(270) - 5*(sqrt(270) + sqrt(270)*-2))/sqrt(10)) + 5.
-293*sqrt(3)/16 + 5
Simplify ((sqrt(77) - 3*sqrt(77)*2)*-2*-3)/((-1*sqrt(66)*-1)/(sqrt(96)*3)).
-360*sqrt(7)
Simplify (-5 + ((1 + sqrt(72))*-4 - sqrt(72)) + 1 + (sqrt(72) + (sqrt(72) - (sqrt(72) + -1*(0 + s... | {
"pile_set_name": "DM Mathematics"
} |
i - 8, -i + 4*i - 2 = -5*v. What are the prime factors of 1/y - 33/v?
2
Suppose 0 = 3*t - 7143 + 2637. Let o = t - 999. List the prime factors of o.
503
Let y(p) = -3*p - 9. Let q(m) = -35*m + 35*m - m**2 - 1. Let i be q(2). List the prime factors of y(i).
2, 3
Let z(h) = -2*h**2 + 20*h - 32. Let t be z(13). Let v = -1... | {
"pile_set_name": "DM Mathematics"
} |
q and 5?
605
Let z = -34 + 59. What is the common denominator of z/(-10)*(-4)/45*37 and 46/17?
153
Find the common denominator of 65/18 and 22/(-55)*(-85)/(-132).
198
Let y = -1552 + 31027/20. Suppose 306 = 14*f - 11*f. Calculate the common denominator of f/(-34) + (-1)/((-2)/(-79)) and y.
20
Let u be (1691*1567)/((-3... | {
"pile_set_name": "DM Mathematics"
} |
2 to the power of 1/5, to the nearest integer?
11
What is 2106672 to the power of 1/3, to the nearest integer?
128
What is the square root of 983691 to the nearest integer?
992
What is the cube root of 71334 to the nearest integer?
41
What is the sixth root of 34264 to the nearest integer?
6
What is the cube root of 25... | {
"pile_set_name": "DM Mathematics"
} |
06, -3832, -4366, -5002?
y**3 - 66*y**2 - y - 2836
What is the a'th term of 1625, 3238, 4795, 6296, 7741?
-28*a**2 + 1697*a - 44
What is the x'th term of 253, 562, 1471, 3280, 6289?
50*x**3 - 41*x + 244
What is the k'th term of 10458976, 10458988, 10459000, 10459012, 10459024?
12*k + 10458964
What is the w'th term of -... | {
"pile_set_name": "DM Mathematics"
} |
-f - 22 - 113 = 0. Let a be (-2 - -22)/(6/f). Let q = a - 190. What is q rounded to the nearest 100?
-600
Let v = 39 - -161. Round v to the nearest one hundred.
200
Let i = -77.31664497 + 79.316645. Let y = 2 - i. What is y rounded to seven dps?
0
Let a = 0.0467 - -0.4223. Let f = -34 + 34.061. Let u = a + f. Round u ... | {
"pile_set_name": "DM Mathematics"
} |
f 56408 to the nearest integer?
238
What is 53035 to the power of 1/2, to the nearest integer?
230
What is 642 to the power of 1/4, to the nearest integer?
5
What is the fifth root of 1620 to the nearest integer?
4
What is the third root of 68986 to the nearest integer?
41
What is the square root of 547 to the nearest ... | {
"pile_set_name": "DM Mathematics"
} |
quence zl?
4/91
What is prob of sequence tmtq when four letters picked without replacement from {t: 5, q: 1, p: 2, d: 2, m: 4}?
10/3003
Calculate prob of sequence gtga when four letters picked without replacement from {g: 2, t: 1, p: 2, b: 1, a: 13, z: 1}.
13/58140
Three letters picked without replacement from xqrqkjxj... | {
"pile_set_name": "DM Mathematics"
} |
66/14 + (-10)/(-35). Let q(x) = 19*x - 1. Let s(c) = -37*c + 2. Let o(h) = i*q(h) + 3*s(h). Suppose -3*v - 12 + 15 = 0. Calculate o(v).
-15
Let q(k) = 5*k**2 - 30*k - 22. Let f(y) = 2*y**2 - 10*y - 7. Let j(h) = 8*f(h) - 3*q(h). Let t(n) = -327*n + 1300. Let z be t(4). Determine j(z).
-6
Suppose a = -3*c - c + 9, -a - ... | {
"pile_set_name": "DM Mathematics"
} |
*y - 14. Let v = 0.66 - 1.07. Let d = v - -0.33. Which is the third biggest value? (a) d (b) 0.1 (c) y
c
Suppose -16*g = -13*g - 42. Let y(s) = s**3 - 13*s**2 - 16*s - 2. Let d be y(g). Let w be 2/(-12)*d/20. Which is the biggest value? (a) w (b) 1 (c) 4
c
Let b = -5 + 8. Let h be 5 + (-1)/(5/60*4). Suppose 0 = h... | {
"pile_set_name": "DM Mathematics"
} |
7, m: 6, g: 4}. Give prob of picking 2 e, 1 m, and 1 g.
18/85
Four letters picked without replacement from frdrrfrfrrrrdfrr. Give prob of picking 2 r, 1 d, and 1 f.
18/91
Three letters picked without replacement from idiiwsiiwdxiitid. What is prob of picking 1 w and 2 d?
3/280
Three letters picked without replacement f... | {
"pile_set_name": "DM Mathematics"
} |
*3 - l with respect to c.
-6*c**2
Let w be (-1)/(-1 + 8/6). Let p be -2 + 5*(w - -4). Find the third derivative of 4*k**4 + 4*k**2 - k**2 - 2*k**2 + p*k**2 wrt k.
96*k
Let m = 20 - 10. Suppose 0 = -c + 5, -c = -5*z + m. What is the third derivative of -2*b**3 + 3*b**2 + 2*b**z + b**3 wrt b?
6
Let a(b) = 17*b**2 - 27*b ... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -v**5/60 - 7*v**4/24 - 5*v**3/6 + 2*v**2. Let i be l(-6). Let t(o) = -6*o - 1. What is t(i)?
-7
Suppose l + 8 = 3*o, -o + 14 + 2 = 3*l. Suppose o*b = 1 + 11. Let c(z) = -z**3 + 3*z**2 - 3*z. Determine c(b).
-9
Suppose h = 3*h. Suppose h = -4*u + 5 + 11. Let a(m) = -m - 2*m + u + 0*m + 6*m. Calculate... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*c)*(27 - 14 - 14) - 2 + 2 - 2*c).
-6*c**3 - 15*c
Expand -3*f**2 + 0*f**2 - 13*f**2 + (-5*f + 33*f - 4*f)*(2*f - f - 4*f + (-2*f - f + f)*(3 - 1 - 1)) - 3*f**2 - 2*f**2 + 6*f**2.
-135*f**2
Expand (z**2 - 2*z + 2*z)*(20709*z**2 - 25306*z**2 + 189 - 32108*z**2 - 189 - 26699*z**2).
-63404*z**4
Expand (-3 + 3 + 4 - n)*(... | {
"pile_set_name": "DM Mathematics"
} |
False
Suppose 0 = -5*x - 2*j - 35, -25 = x + 5*j - j. Let n(u) = u**3 - 11*u**2 - 13*u + 10. Let m be n(12). Let q = m - x. Is 5 < q?
False
Let b = -0.143 - -0.043. Which is bigger: b or -1?
b
Let q = 125.1 - 110. Let v = 15 - q. Is 0 <= v?
False
Suppose -4*c + 3 + 11 = -2*l, -12 = -3*c. Do 4/27 and l have the same val... | {
"pile_set_name": "DM Mathematics"
} |
x*t + d and give x.
85
Express 5 - p + 8 - 4 + 2*p**3 in the form x*p**3 + c*p + l*p**2 + j and give l.
0
Express (-s + 0*s + 2*s + (s - s + 2*s)*(4 + 2 - 5) + 0*s + 2*s - 4*s)*(0 - 5 + 3) in the form q*s + x and give q.
-2
Rearrange 2*g**3 + 2 - 321*g**2 + 319*g**2 + g**4 - 4*g**3 to p*g**2 + m*g**4 + r + t*g + h*g**3... | {
"pile_set_name": "DM Mathematics"
} |
5/60 + d**4 - 107*d**3/6 - 39*d**2 - 2*d. Let v be r(4). Solve -17*s - v = -18*s for s.
5
Let i = -16133 + 16448. Solve -61*r = 2*r - i for r.
5
Suppose 5*v = g - 42, 2*v + 3*v = -5*g - 30. Let m be (v/6)/(8/(-12)). Solve 10 = -m*r + 16 for r.
3
Let d = -7093 + 7133. Solve -5*a - d = 35*a for a.
-1
Suppose 4*i - 9*i - ... | {
"pile_set_name": "DM Mathematics"
} |
8572
-51.7188572
What is the distance between -308124 and 6642?
314766
Calculate 11974 - -139451.
151425
What is -0.08 + 18.29345?
18.21345
Subtract 318 from 33165.
32847
-32.844 - -3.688
-29.156
What is the difference between -0.6 and 0.0713413261?
0.6713413261
Total of 52 and -172411.
-172359
What is the distance bet... | {
"pile_set_name": "DM Mathematics"
} |
e ((-5)/(-15))/((-1)/(-90)). Calculate the greatest common divisor of o and 15.
15
Let w(v) = 3*v**2 + 2*v - 2. Let y be w(-3). What is the highest common divisor of y and 57?
19
Suppose 0 = -21*t + 16383 - 6177. What is the greatest common factor of t and 54?
54
Let z = 5 - 2. Suppose -48 + 0 = -z*c. Suppose -3*m - 71... | {
"pile_set_name": "DM Mathematics"
} |
*h
Expand (o + o - 4*o)*(o**2 + o**2 - 3*o**2) + (4*o - 4*o + o**2)*(-3*o + o + o).
o**3
Expand (1 - 5*b + 0 + 0)*(3*b**4 + 0*b**4 + 0*b**4).
-15*b**5 + 3*b**4
Expand (4*q - 4*q - 2*q)*(-357 - 145 + 330).
344*q
Expand -2*y**2 + 0*y**2 + 0*y**2 + (-2*y + 0*y + 0*y)*(3*y + 2 - 2).
-8*y**2
Expand (-1 - 2*q + 1)*(-62*q + 6... | {
"pile_set_name": "DM Mathematics"
} |
= l + 8 for d.
-4
Let z = 29500 + -29482. Solve -2*o - z = -5*n, 4*n + 20*o - 23 = 13*o for n.
4
Let j be (182/169)/(20/130). Solve -5*a - 23 = 2*f + 10, 3*f = a - j for a.
-5
Suppose 0 = -4*z - 5*h + 769, 3*h + 50 = 65. Let k = 199 - z. Solve -3*j - k = 4*v, -j = -3*v - 19 + 6 for v.
-4
Let s be (-90)/(-22) + (-40)/44... | {
"pile_set_name": "DM Mathematics"
} |
the form o*d**3 + g*d + u*d**2 + r + p*d**4 and give p.
6
Express -2 + 5 - 134*m - 2 - 3 + 0 as d*m + y and give y.
-2
Express -4*i**2 + 26 - 861*i + 861*i + 11*i**2 + 36 in the form r*i + f*i**2 + o and give f.
7
Express ((1 + 2*w - 1)*(0 + 1 - 3) - 2*w - 28*w - 28*w)*(-2*w**2 + w**2 + 3*w**2) as o + q*w + u*w**2 + m*... | {
"pile_set_name": "DM Mathematics"
} |
olve 2*w**2/5 - 4*w/5 - 6/5 = 0 for w.
-1, 3
Determine w so that 2*w**4/5 + 146*w**3/15 + 62*w**2/5 + 46*w/15 = 0.
-23, -1, -1/3, 0
Let -2*s**4/9 - 8*s**3/9 - 2*s**2/3 + 8*s/9 + 8/9 = 0. What is s?
-2, -1, 1
What is j in 2*j**3 - 6*j**2 + 4*j = 0?
0, 1, 2
Determine u, given that 4*u**5 + 40*u**4 + 44*u**3 - 328*u**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
cement from {z: 1, y: 1, v: 2, q: 2, m: 2, l: 4}.
1/165
What is prob of sequence lma when three letters picked without replacement from {l: 1, a: 1, m: 1}?
1/6
Calculate prob of sequence qcca when four letters picked without replacement from cqccqqcqaq.
1/84
Three letters picked without replacement from {w: 7, d: 2}. W... | {
"pile_set_name": "DM Mathematics"
} |
: 2, j: 6, p: 4}. What is prob of picking 1 p and 2 d?
1/170
Four letters picked without replacement from {n: 1, z: 2, j: 1, f: 3}. What is prob of picking 1 j and 3 f?
1/35
Calculate prob of picking 3 a and 1 f when four letters picked without replacement from {f: 6, a: 4, h: 2}.
8/165
Four letters picked without repl... | {
"pile_set_name": "DM Mathematics"
} |
-1000
Let h(o) = -o + 1. Let c be h(1). Suppose c = -4*t - 125471 - 194529. What is t rounded to the nearest 10000?
-80000
Let c be (4 + 1375 - -1)*50. What is c rounded to the nearest ten thousand?
70000
Let q = 0.09 + -0.91. Let v = q - -2.31. Round v to one dp.
1.5
Let p = -169 + 168.99999726. Round p to six dps.
-0... | {
"pile_set_name": "DM Mathematics"
} |
3*x - 39. Let w be 1 - -1 - -1*(6 + -4). Solve w*a = -a + x for a.
3
Suppose -69 = -8*v - 15*v. Solve 4*q + v*q = -35 for q.
-5
Let o(a) = -a**2 - 53*a. Let g be o(0). Solve 16*n - 7*n + 36 = g for n.
-4
Let t(q) = -q**2 - 7*q - 6. Let x be t(-5). Suppose x*u = -u. Let l = 292 + -292. Solve l = -2*y - u*y - 6 for y.
-3... | {
"pile_set_name": "DM Mathematics"
} |
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