text stringlengths 270 8.19k | meta dict |
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8. Let a(p) = 328*p**3 - 9*p**2 - 9*p + 18. Calculate 4*a(l) - 9*c(l).
-164*l**3
Let z(l) = 14*l**2 - 4*l - 5. Let j(i) = -31*i**2 + 8*i + 11. Give 4*j(u) + 9*z(u).
2*u**2 - 4*u - 1
Let s(r) = r**2 - r - 1. Let g(n) = -158*n**2 - 3*n - 3. Determine g(p) - 3*s(p).
-161*p**2
Let p(d) = -5*d**3 - 71*d. Let w(m) = -10*m**... | {
"pile_set_name": "DM Mathematics"
} |
ny minutes are there between 8:00 AM and 7:39 PM?
699
What is 707 minutes before 1:21 PM?
1:34 AM
What is 331 minutes before 10:49 AM?
5:18 AM
How many minutes are there between 8:09 PM and 6:20 AM?
611
What is 532 minutes before 5:01 PM?
8:09 AM
What is 691 minutes before 8:21 PM?
8:50 AM
What is 709 minutes after 12:... | {
"pile_set_name": "DM Mathematics"
} |
907/11. Which is the closest to l? (a) -0.1 (b) -4 (c) -1/3
a
Let o = 2 + -2.3. Let s = -0.18 - o. Let t = 0.22 - s. Which is the nearest to t? (a) 0.3 (b) -5 (c) -2
a
Let w = 874/3 - 2620/9. What is the closest to -1/3 in 0.3, w, 28, -0.4?
-0.4
Suppose 5*u - m = -20, 3*u = -3*m - 50 + 20. Which is the nearest to... | {
"pile_set_name": "DM Mathematics"
} |
w(m). Let h(i) = -83*i - 10. Let l(u) = -14*d(u) - 4*h(u). What is the tens digit of l(-1)?
5
Let j be 106/3*(-30)/(-20). Let t = j + -50. Suppose 0 = t*q + q - 636. What is the units digit of q?
9
What is the units digit of 11 + (-290556)/(-12) - -18?
2
Let s be -1*(1047 - (-5)/5). Let j be s/5*2*15/(-12). Suppose q -... | {
"pile_set_name": "DM Mathematics"
} |
h) = -25*h**2 - 3*h - 4. Let p(n) = 76*n**2 + 29*n + 12. Let r(z) = -6*d(z) - 2*p(z). Let c(a) be the first derivative of -a**2/2 - 1. Determine r(c(v)).
-2*v**2 + 40*v
Let n(x) = x**2. Let g be 3/(-2)*360/(-27). Let f = g + -15. Let b(l) = f*l**2 - 13*l**2 + 20*l**2 + 23*l**2. Give b(n(c)).
35*c**4
Let d(k) = -8480932... | {
"pile_set_name": "DM Mathematics"
} |
olve -5*m + 3*w - 21 + 58 = 0, -3*w - 17 = -m for m.
5
Solve 2*d - 26 = 0, 4*i + 187*d - 184*d = 31 for i.
-2
Solve -2018*u - 45 = -2019*u - 5*p, -36 = -4*p for u.
0
Solve 0 = g + 2*i + 7, 0 = -23*i + 24*i + 3 for g.
-1
Solve 15*x - 13*x - 6 = 2*y, -3*y - 57 = -15*x for x.
4
Solve 4*b + 3*k + 762 - 760 = 0, 0 = -5*b - ... | {
"pile_set_name": "DM Mathematics"
} |
*t**3 wrt j.
47*t**3 + 3*t
What is the derivative of -65*d**3*x**2 + 3*d**3*x - 693*d**3 + x wrt x?
-130*d**3*x + 3*d**3 + 1
Differentiate 52*n**2 + 9*n + 8223 wrt n.
104*n + 9
What is the third derivative of -226*v**5 + 709*v**2?
-13560*v**2
What is the derivative of -276*z**4 - 20360 wrt z?
-1104*z**3
Find the second... | {
"pile_set_name": "DM Mathematics"
} |
tive of -p**4/12 - 7*p + 1. Let b(g) be the first derivative of z(g). What is b(l(j))?
-4096*j**2
Let m(j) = -12*j - 17*j - 12*j + 45*j - 13*j. Let k(f) = -f**2. Calculate k(m(l)).
-81*l**2
Let v(m) = 4*m - 129. Let g(l) = -10*l. Let p(i) = 28*i. Let h(z) = -17*g(z) - 6*p(z). Give h(v(f)).
8*f - 258
Let l(z) = -150*z. ... | {
"pile_set_name": "DM Mathematics"
} |
-4, 1/3 in decreasing order.
h, 1/3, -13/6, -4
Suppose 2*s = 4*t - 16, 5*t + 5*s - 3*s - 11 = 0. Put 9, -5, t in increasing order.
-5, t, 9
Suppose -4*w + 4 + 40 = 0. Let t = w - 9. Suppose t = 2*d + 6. Sort d, -0.2, -5 in increasing order.
-5, d, -0.2
Let p = -0.3 + 0.8. Let n = 51 - 23. Let u be (n/49)/((-44)/(-14)).... | {
"pile_set_name": "DM Mathematics"
} |
-2*i + z. Find the second derivative of -i*c + 2*c + 4*c**2 + 0*c**2 + 3*c**2 wrt c.
14
Let p(y) = -5554*y**2 + 20*y - 310. Let m(q) = 2777*q**2 - 12*q + 155. Let u(j) = -5*m(j) - 3*p(j). Differentiate u(l) wrt l.
5554*l
Let t(q) = -3*q - 32. Let p be t(0). Let s be (-16)/p*4/(-2)*-3. What is the third derivative of -... | {
"pile_set_name": "DM Mathematics"
} |
682871.
3, 13, 113, 269953
What are the prime factors of 942449904?
2, 3, 11, 66109
List the prime factors of 512311168.
2, 4002431
What are the prime factors of 60898174?
2, 181, 168227
What are the prime factors of 1173277372?
2, 17, 17254079
What are the prime factors of 22484472?
2, 3, 17, 55109
List the prime fact... | {
"pile_set_name": "DM Mathematics"
} |
tive of x**7/120 + 13*x**6/360 - 4*x**3 - 6. Let o(b) be the third derivative of g(b). What is the third derivative of o(i) wrt i?
42
Let p = 107 - 99. What is the derivative of p - 9 - 73*z**2 + 52*z**2 wrt z?
-42*z
Let g(c) = -73*c**3 - 463*c**2 + 3*c + 3. Let f(s) = 215*s**3 + 1388*s**2 - 8*s - 8. Let l(a) = -3*f(a)... | {
"pile_set_name": "DM Mathematics"
} |
(-2))).
5
(-12)/(-10)*(2/(-3) + 1)
2/5
Evaluate 1/10 - (-440)/1600.
3/8
What is the value of (2*(-1)/(-9))/((-8)/12)?
-1/3
Evaluate (-6)/(-3) + 1 - 24/10.
3/5
What is the value of (-2*3/(-42))/((-17)/34)?
-2/7
Calculate 3/(-1) - 924/(-330).
-1/5
What is 9/11 + -1 + 15958/1738?
9
Evaluate 21/(-14)*(-4)/(-2).
-3
Evaluate... | {
"pile_set_name": "DM Mathematics"
} |
ose b(t) = 0. Calculate t.
-11, -1
Suppose 2*r + 360 = 4*h, 7*h - 2*h - 4*r = 456. Suppose -h*x + 2*x**2 + 30 + 26*x + 17*x + 29*x = 0. What is x?
3, 5
Let b(r) be the third derivative of -r**6/80 - 19*r**5/40 - 45*r**4/8 - 18*r**3 + 699*r**2. Determine v, given that b(v) = 0.
-12, -6, -1
Let r(l) be the first derivati... | {
"pile_set_name": "DM Mathematics"
} |
u - 12256 for u.
32
Solve 2222*f - 1632 + 6076 = 0 for f.
-2
Solve -2536*u + 79695 = 39849 - 170642 for u.
83
Solve -269*z - 106*z = -36*z - 19662 for z.
58
Solve 27*s + 60*s = 7*s + 814 - 1214 for s.
-5
Solve 248*f - 140*f - 78525 = -939*f for f.
75
Solve -5941 = 98*b - 8088 + 6263 for b.
-42
Solve 466554 = -9723*p + ... | {
"pile_set_name": "DM Mathematics"
} |
s for h.
5
Suppose 4*q + 45 = 351*d - 350*d, -2*d + 3*q = -40. Suppose 2*l + 2*v = l + 3, -6 = -l + v. Solve d*r - 5*g = 0, -r - l*g = r - 28 for r.
4
Let q(x) = x - 1. Let m be q(3). Suppose -2*y + 56 = -2*n, y - 81 = -2*y + m*n. Solve 5*f + y = -3*l, 3*f - 3*l + 4*l = -11 for f.
-2
Suppose -3*n - 12 = 3*v, 4*n + 5*v ... | {
"pile_set_name": "DM Mathematics"
} |
3/(f - -2) - -1. What is the greatest common factor of u and 22?
2
Let t = 13 - 9. Suppose 0 = t*g + 11 - 51. What is the greatest common factor of g and 4?
2
Suppose -365 = -5*b - 5*n, -3*b = -3*n + 2 - 251. Suppose -b = -2*u - 30. Calculate the highest common divisor of u and 8.
8
Suppose -9*n + 81 = -0. Calculate t... | {
"pile_set_name": "DM Mathematics"
} |
)?
2
Suppose -4*z = 5*k - 10, -10 - 12 = -2*k + 2*z. Let m be (-9)/1 + -1 + 2. Let x = -5 - m. What is the remainder when k is divided by x?
0
Suppose c + 36 = 4*y, 2*y - 130 = -3*c + 7*c. Let h(d) = 14*d**3 + d**2. Calculate the remainder when (-2 + 3)*(-4 - c) is divided by h(1).
13
Suppose p + o = 25, -5*o = 2*p + 2... | {
"pile_set_name": "DM Mathematics"
} |
0.979. Round r to two decimal places.
-0.08
Let b = 31926.947956 - 31927. What is b rounded to 2 dps?
-0.05
Suppose 2*w + 186 = -3*w + l, -2*l = -w - 30. Let k be (-4)/(-38) + (-12992)/w. What is k rounded to the nearest 10?
340
Let f = -57112 + 55215.05. What is f rounded to the nearest 100?
-1900
Suppose -14*o - 4720... | {
"pile_set_name": "DM Mathematics"
} |
Let k be 1/a*(-6 + 0). Let l(c) = 20*c**2 + 3*c - 3. Is l(k) a composite number?
False
Let r(t) = t**2 - 2*t + 191. Suppose 8*w = 10*w. Is r(w) a prime number?
True
Let a(z) = -z**3 + 15 - z + 7*z**2 + 4*z**2 - 3. Let u be a(11). Is 2 - 1 - (-25)/u composite?
True
Let t = -4 + 7. Let y(x) = -3*x + x**t - 4*x**2 + x**3 ... | {
"pile_set_name": "DM Mathematics"
} |
5, 30347
What are the prime factors of 332317?
332317
List the prime factors of 11156.
2, 2789
List the prime factors of 6929739.
3, 23, 11159
List the prime factors of 399434.
2, 7, 103, 277
What are the prime factors of 12291500?
2, 5, 13, 31, 61
List the prime factors of 17418961.
7, 83, 4283
What are the prime fac... | {
"pile_set_name": "DM Mathematics"
} |
18229100 rounded to the nearest 1000000?
118000000
Round -250782.47 to the nearest one hundred.
-250800
Round 75596.74 to the nearest one hundred.
75600
Round -0.00010539672 to 6 dps.
-0.000105
Round 0.00000855645 to 7 decimal places.
0.0000086
What is 14640.1 rounded to the nearest 100?
14600
What is -0.0000001937915 ... | {
"pile_set_name": "DM Mathematics"
} |
se 3*a + 3*y = -6, 5*y + 40 = 5*a - 0*y. Solve 6 = 2*h + 3*v, 0 = h - 0*v + 2*v - a for h.
3
Let l = -18 + 22. Solve 4*n - 6 = 3*h + 8, -4*h - 12 = -l*n for h.
2
Suppose 0 = 3*z - 0*z. Suppose l = 3*v + 4*l - 9, z = -2*v + 4*l + 12. Suppose -v*p = -16 - 0. Solve 0 = -3*h + 5*a - 19, 17 = -4*h + a + p*a for h.
2
Let t =... | {
"pile_set_name": "DM Mathematics"
} |
Let l be 1/(-2)*(u - -8). What is the closest to 1 in l, 2/5, 2/9?
2/5
Let g be 10 + 6 + -2 - (-1 - -6). Let w = -4.87 - 0.13. What is the nearest to 0 in w, 4, g?
4
Suppose 0 = -116*y + 101*y. Which is the closest to y? (a) -3 (b) -2 (c) -13
b
Let f = 211 - 216. Let b be (-2)/56 - (-18)/63. Let i = -2 + 2.2. What ... | {
"pile_set_name": "DM Mathematics"
} |
t -5, h, 0.
-5, h, 0
Let u = -10 + 8. Put u, 0.5, -4 in ascending order.
-4, u, 0.5
Let q be (2/3)/((-4)/(-12)). Suppose 1 + 17 = -q*c - 5*t, -2*t = 5*c + 24. Sort 0, c, 8 in descending order.
8, 0, c
Let b be -4*3/(2*-3). Let w = -14 - -10. Suppose 0 = 3*l - 1 + 16. Sort w, b, l in descending order.
b, w, l
Let h = 5 ... | {
"pile_set_name": "DM Mathematics"
} |
nd 184.
14213448
Calculate the common denominator of 121/331800 and -149/1167936.
29198400
Find the common denominator of 1/30 and -55/245781573.
2457815730
What is the common denominator of -127/273126 and -83/7056?
6555024
Calculate the smallest common multiple of 390 and 266379282.
1331896410
Calculate the least com... | {
"pile_set_name": "DM Mathematics"
} |
. Calculate the highest common factor of q and 25.
25
Let c be 3 - -75 - (18 - 10 - 2). What is the highest common divisor of 32 and c?
8
Let l = 1245 + -765. What is the greatest common divisor of 24 and l?
24
Let f(j) be the first derivative of -24*j**2 - 4*j - 9. Let z be f(-1). Calculate the greatest common divisor... | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of 179780467.
179780467
What are the prime factors of 518537972?
2, 2549, 50857
List the prime factors of 38065280.
2, 5, 11, 5407
What are the prime factors of 1759164719?
13, 31, 613, 7121
List the prime factors of 65495361.
3, 21831787
List the prime factors of 1633683065.
5, 7, 46676659
What are the... | {
"pile_set_name": "DM Mathematics"
} |
k(d) = 3*d + 1 + 4*d + 17 - 5*d. Let x be k(-10). Let h be 1 + -1 + -2 - x. Solve 4*l + 5 + 7 = h for l.
-3
Suppose 0 = -13*w - 6265 - 1990. Let z = w + 637. Solve -2 = -z*y + 8 for y.
5
Let a be 50 + 8 + (-6 + -3)/3. Suppose 36*u = 25*u + a. Let s be (6/(-8))/((-2)/8). Solve s*w - u*w = -4 for w.
2
Let g = -3058 - -30... | {
"pile_set_name": "DM Mathematics"
} |
11))**34/((k*(k*k**(-10)*k)/k)/(k/(k*k**0/k))) assuming k is positive.
k**(439/11)
Simplify ((q**5/(q*q**(4/5)))**26)**(-44) assuming q is positive.
q**(-18304/5)
Simplify (u**(2/7)/(u/(u*((u*u*(u/(u/u**(-1/2)))/u)/u)/u)))/((u**(3/5)/u)/u)**(-21) assuming u is positive.
u**(-2143/70)
Simplify (i**(-4)*i**11)/(i**(2/33)... | {
"pile_set_name": "DM Mathematics"
} |
{v: 3, y: 1, x: 3}. Give prob of sequence xy.
1/14
Three letters picked without replacement from {a: 1, u: 1, q: 1, t: 1, x: 1, o: 2}. What is prob of sequence oux?
1/105
Two letters picked without replacement from {b: 6, g: 2, d: 2, a: 1, h: 1}. What is prob of sequence hd?
1/66
Calculate prob of sequence vvvj when fo... | {
"pile_set_name": "DM Mathematics"
} |
divide 5867370?
True
Does 19 divide 5305069306?
True
Is 1109 a factor of 846167?
True
Is 33625053 a multiple of 1203?
True
Is 286410588 a multiple of 2260?
False
Does 173 divide 20660525?
True
Does 40 divide 46683680?
True
Is 15 a factor of 6613040?
False
Is 156738940 a multiple of 10?
True
Is 29 a factor of 132800567... | {
"pile_set_name": "DM Mathematics"
} |
- 15 = -57. Suppose -76 = -a*p + 113. Calculate the highest common divisor of p and 9.
9
Let t be 9 + 57 - 2/1. Suppose 3*q + 0*z = -4*z + 300, z - 195 = -2*q. Calculate the greatest common divisor of q and t.
32
Let o be 1*3 + 1 + 0. Suppose -5*r + 6*j - 11*j = -195, -2*j - 10 = 0. What is the greatest common divisor ... | {
"pile_set_name": "DM Mathematics"
} |
ent from cfucaca.
1/7
Three letters picked without replacement from eeererrerceer. What is prob of sequence cre?
35/1716
Two letters picked without replacement from {a: 2, m: 1, w: 4, c: 1, i: 1, t: 3}. What is prob of sequence ct?
1/44
Two letters picked without replacement from {k: 3, s: 1, i: 1}. Give prob of sequen... | {
"pile_set_name": "DM Mathematics"
} |
osest to 2 in 0, 5, j, -0.047?
j
Let z = 32 + -12. Let r be (-2 - -26)*(-15)/z. Let u = r + 18. Which is the closest to 0? (a) u (b) 2/13 (c) 1/8
a
Suppose -18 = -3*p - n + 4*n, 4*p + 3*n = -4. Let x = -0.97 - -1.17. Let q = 2351 + -2350. Which is the closest to p? (a) q (b) 4 (c) x
a
Let i(w) = -12*w - 21. Let y... | {
"pile_set_name": "DM Mathematics"
} |
-98 + 51 + 47 - 55*h.
-55*h
Collect the terms in 49*j + 9*j + 6*j + 11*j - 93*j + 22*j.
4*j
Collect the terms in -2803*d**3 + 1405*d**3 + 1403*d**3.
5*d**3
Collect the terms in -n**3 + 5102285344170*n - 5102285344170*n.
-n**3
Collect the terms in -43 + 22 - 198*w - 32 + 197*w - 56.
-w - 109
Collect the terms in 877*r ... | {
"pile_set_name": "DM Mathematics"
} |
g'th term of 8591, 18770, 30535, 43886?
793*g**2 + 7800*g - 2
What is the z'th term of -89911, -179377, -268843, -358309, -447775, -537241?
-89466*z - 445
What is the h'th term of -56212, -56309, -56406?
-97*h - 56115
What is the i'th term of 106358, 106349, 106366, 106421, 106526?
2*i**3 + i**2 - 26*i + 106381
What is... | {
"pile_set_name": "DM Mathematics"
} |
70*k(a) + 2*r(a).
-274*a
Let v(s) = -8*s**2 - 7*s - 2. Let z = -1971 + 1964. Let r(u) = -6*u - 8*u**2 + 0 - 2 + u**2. Calculate z*r(t) + 6*v(t).
t**2 + 2
Let k(z) = 66*z**2 + 6 + 66*z**2 - 120*z**2. Let c(r) = -24*r**2 - 11. Calculate 6*c(v) + 11*k(v).
-12*v**2
Let d(k) = 7*k**3 + 3*k**2 + 3*k. Let r(q) be the second d... | {
"pile_set_name": "DM Mathematics"
} |
- g = 3*a for d.
-5
Let h = -10 + 14. Suppose h*r - 8 = -0. Solve r*p - 10 = -2*i + 2, 0 = 5*p - 2*i - 9 for p.
3
Let p(g) = -9*g + 20. Let h be p(5). Let z be (h/(-3))/((-17)/(-51)). Suppose -a + 6*a = z. Solve 4*x - 2*i = -10, 21 = -a*i - 4 for x.
-5
Let r(y) be the second derivative of -y**3/3 - 21*y**2/2 + 11*y. Le... | {
"pile_set_name": "DM Mathematics"
} |
z
c
Let w = -1388.3 - -1452. Let q = -67 + w. Let s = -0.7 + q. Which is the closest to -0.2? (a) 2 (b) s (c) -0.5
c
Let a = 25 - 27. Let x be (77/(-22))/(a/8). Suppose 4*l + 2 = x. What is the closest to l in 2, -3, 3?
3
Let r = 214.4 - 159. Let q = -55 + r. Which is the closest to 1? (a) 5/3 (b) 1 (c) q
b
Let v... | {
"pile_set_name": "DM Mathematics"
} |
- 2*f(h). What is the units digit of l(3)?
1
Let o(t) = 2*t + 12. Let f be o(-6). Suppose -c + f*c = -3. What is the units digit of c?
3
Suppose -2*k = -4 + 2. Let n = k - -1. Suppose o = -n*o + 12. What is the units digit of o?
4
Suppose v + 0*v = -w - 3, -2*v = -3*w - 9. Let l be (4 + w)/((-1)/(-9)). Suppose j - 6 =... | {
"pile_set_name": "DM Mathematics"
} |
ppose -5*z + x*o + 60 = -83, 4*z - 108 = -4*o. What is the units digit of z?
8
Let h = -5208 + 8982. What is the tens digit of h?
7
Suppose -7*a + 22 = 4*a. What is the tens digit of (316 - a)/1 - 50/(-10)?
1
Suppose x - 1 = 10. Suppose x*j - 5*j - 744 = 0. Suppose -4*s + 60 = -j. What is the tens digit of s?
4
What is... | {
"pile_set_name": "DM Mathematics"
} |
u.
15
Let x be (-9)/(288/(-40))*4. Let g(m) = 2*m**3 - 4*m**2 + 3*m + 13. Calculate the remainder when g(x) is divided by 30.
28
Suppose -4*k = -4, 4*k = 4*j - 640 - 308. Suppose 6*u - j = 4*u. Let w = 10268 - 10244. What is the remainder when u is divided by w?
23
Suppose -4*x + 10 = -3*x. Let b(f) = 5*f**2 + 115*f +... | {
"pile_set_name": "DM Mathematics"
} |
6*q**2 - 2*q - 18
What is the n'th term of 1, 24, 69, 142, 249, 396, 589, 834?
n**3 + 5*n**2 + n - 6
What is the s'th term of 4596, 9200, 13804, 18408, 23012, 27616?
4604*s - 8
What is the u'th term of -996, -994, -982, -954, -904, -826?
u**3 - u**2 - 2*u - 994
What is the z'th term of 441, 881, 1321?
440*z + 1
What is... | {
"pile_set_name": "DM Mathematics"
} |
e nearest one million.
-106000000
Let h = 80 - 129. Let a = h - -48.666. Let m = a + 0.32. Round m to 3 dps.
-0.014
Let q = -175.1823 + 7.2003. Let l = q - -168. What is l rounded to three dps?
0.018
Let k(o) be the first derivative of 503*o**4/4 - o**3/3 + 3*o**2 - 2*o + 65. Let u be k(-3). Round u to the nearest 1000... | {
"pile_set_name": "DM Mathematics"
} |
xpand (-44*t**2 + 9*t + 139*t**2 - 3 - 134*t**2)*(-1 + 2*t + 1).
-78*t**3 + 18*t**2 - 6*t
Expand (-7*a**2 + 3*a**2 + 3*a**2)*(-3 + 4 + 0) - 18*a**2 - 23*a**2 - 19*a**2 + 3*a**2 - 8*a**2 + 0*a**2.
-66*a**2
Expand (a - 4*a - a**4 + a)*(-62 - 86 - 530).
678*a**4 + 1356*a
Expand (q + 7*q - 4*q)*(30*q - 315*q - 105*q)*(-3 -... | {
"pile_set_name": "DM Mathematics"
} |
= 64*i for i.
1
Solve 0 = 7*a - 17 - 11 for a.
4
Solve 10 = -9*h - 26 for h.
-4
Solve -13*p = -21*p - 40 for p.
-5
Solve 31*v - 53 = -22 for v.
1
Solve -8*k - 7 + 23 = 0 for k.
2
Solve -2 = 3*h + 13 for h.
-5
Solve -c + 182 = 187 for c.
-5
Solve 0 = 7*j + 19 + 16 for j.
-5
Solve 16*b = 21*b - 20 for b.
4
Solve 65 = 13... | {
"pile_set_name": "DM Mathematics"
} |
p = m + -1091. Is p composite?
True
Let w = -9466 - -101213. Is w composite?
True
Let i = -3796 - -8281. Suppose -3*j = -6492 - i. Is j a prime number?
True
Suppose -t + 18 = 13. Suppose -k + o = t, -3*k - 5*o + 17 = -0*o. Let r = 178 + k. Is r prime?
False
Suppose -4*o + 1871170 = 2*y, -5*y - 3*o + 3169960 = -1507951... | {
"pile_set_name": "DM Mathematics"
} |
0.
12*t
Collect the terms in 0*p**2 + 1049 - 1049 - 9*p**2.
-9*p**2
Collect the terms in 0*g**2 + 402*g - 801*g + 399*g + 2*g**2.
2*g**2
Collect the terms in -2*n + 27*n**2 + 2*n - 36*n**2.
-9*n**2
Collect the terms in 1 - 1075*q + 1076*q - 1.
q
Collect the terms in 38*w - 6*w - 8*w - 9*w - 13*w.
2*w
Collect the terms ... | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 17564?
2, 4391
List the prime factors of 46001.
157, 293
List the prime factors of 590.
2, 5, 59
List the prime factors of 698.
2, 349
What are the prime factors of 103132?
2, 19, 23, 59
List the prime factors of 1726.
2, 863
List the prime factors of 2841.
3, 947
List the prime factors of... | {
"pile_set_name": "DM Mathematics"
} |
33 AM?
2:35 AM
What is 54 minutes after 6:54 PM?
7:48 PM
What is 63 minutes after 9:51 PM?
10:54 PM
What is 468 minutes before 6:20 PM?
10:32 AM
What is 430 minutes after 1:07 PM?
8:17 PM
What is 543 minutes after 11:49 PM?
8:52 AM
How many minutes are there between 10:59 PM and 11:47 PM?
48
What is 286 minutes after 4... | {
"pile_set_name": "DM Mathematics"
} |
reatest common divisor of m and 105.
15
Let v = -10 + 17. Suppose -4*i - 2*q - q + 113 = 0, 5*q = -i + v. What is the highest common factor of i and 4?
4
Let r = -315 + 173. Let m be (-3)/(-6) + r/(-4). What is the highest common divisor of 4 and m?
4
Let x be (-266)/(-18) + (-2)/(-9). Let c be 3/(-12) + (-61)/(-4). Wh... | {
"pile_set_name": "DM Mathematics"
} |
l(0)?
25
Let z(a) = 4521*a + 4533. Give z(-1).
12
Let b(d) = -4*d**3 + 134*d**2 + 70*d - 40. Calculate b(34).
28
Let s(u) = -u**3 - 62*u**2 - 96*u - 2133. Determine s(-61).
2
Let l(c) = c**3 - 84*c**2 + 469*c - 69. Determine l(78).
9
Let v(q) = q**2 - 149*q + 2901. Calculate v(23).
3
Let k(y) = -y**2 + 32*y + 905. Wha... | {
"pile_set_name": "DM Mathematics"
} |
-c = -t + 3 for t.
3
Suppose 0*g = -5*g + 495. Suppose 0 = 3*p, 0 = -5*a + 4*p - 24 + g. Solve -5*j = -4*x + a, -5*x - 5 = j - 2 for j.
-3
Let i(l) = l**2 + 5*l. Let o be i(-5). Let j = 1 + 2. Solve j*u = 5*m - o - 12, -m + 5*u - 2 = 0 for m.
3
Suppose 5 = t - 5*g, 0 = -t - g - 1. Solve t = -2*n - 4*q + 4, -3*n + 4*q -... | {
"pile_set_name": "DM Mathematics"
} |
2840733?
3
What is the units digit of 481397?
7
What is the hundred thousands digit of 2436684?
4
What is the hundreds digit of 4868164?
1
What is the hundreds digit of 3842853?
8
What is the hundreds digit of 608029?
0
What is the ten thousands digit of 983530?
8
What is the tens digit of 1131021?
2
What is the ten th... | {
"pile_set_name": "DM Mathematics"
} |
2.
11010100000001111
What is 67369 (base 10) in base 2?
10000011100101001
Convert -3047504 (base 9) to base 8.
-6147737
What is -1241422140 (base 5) in base 2?
-1011101111000111000001
b5196 (base 12) to base 4
321313002
-4371043 (base 8) to base 7
-12665601
-112102111100 (base 3) to base 4
-1011110211
What is -3311111... | {
"pile_set_name": "DM Mathematics"
} |
smallest value? (a) -5 (b) s (c) -1
b
Let g(s) = -13*s - 23. Let r be g(7). Suppose -8*v + 3 - 3 = 0. Which is the third smallest value? (a) -0.2 (b) v (c) 0.3 (d) r
b
Let r = -0.53 - -0.13. Let q = 58 + -62. Let l(t) = t**3 - 3*t**2 + 2*t - 2. Let i be l(3). What is the third biggest value in 0.8, i, q, r?
r
L... | {
"pile_set_name": "DM Mathematics"
} |
*o, 0 = -4*k + 4. Let x(p) = -p**2 - 7*p - 3. Let g be x(-6). What is the remainder when g/((-1)/14*-2) is divided by o?
5
Let t = 4 - 2. Let l = -1 - t. Calculate the remainder when 55/4 + l/(-12) is divided by 5.
4
Suppose 0 = -0*g - g + 63. What is the remainder when g is divided by 22?
19
Let a = -86 - -102. Calcul... | {
"pile_set_name": "DM Mathematics"
} |
the power of 1/2, to the nearest integer?
13530
What is 240662400 to the power of 1/8, to the nearest integer?
11
What is the third root of 76931630 to the nearest integer?
425
What is the square root of 3601950551 to the nearest integer?
60016
What is 860892136 to the power of 1/5, to the nearest integer?
61
What is t... | {
"pile_set_name": "DM Mathematics"
} |
5
-3949 divided by 1463
-359/133
542 divided by 18712
271/9356
-8968020 divided by -1644
5455
-171 divided by 170205
-57/56735
Calculate -620900226 divided by -2.
310450113
Divide 0 by -88524878.
0
Calculate 280205 divided by 1.
280205
What is -17115182 divided by -1?
17115182
Calculate 96383275 divided by -5.
-1927665... | {
"pile_set_name": "DM Mathematics"
} |
*j
Collect the terms in -245 + 85 + 8 + 7*f + 61.
7*f - 91
Collect the terms in -11727*k**2 + k**3 - 10527*k**2 + 32782*k**2 - 10528*k**2.
k**3
Collect the terms in -29*h + 49836301 + 25*h - 241*h - 49836301.
-245*h
Collect the terms in 385 - 3*m - 1902 + 234.
-3*m - 1283
Collect the terms in 132 - 2325*v - 158 + 2327*... | {
"pile_set_name": "DM Mathematics"
} |
0 in increasing order.
-10, -8, -4, 2, 3
Sort 8, -2, 121 in decreasing order.
121, 8, -2
Sort 0, 21, -9 in ascending order.
-9, 0, 21
Sort 40, -25, -2.
-25, -2, 40
Sort -7, 12, 0.
-7, 0, 12
Put -9, 0, -2, -4 in decreasing order.
0, -2, -4, -9
Sort -0.3, 27, -0.4, 15.
-0.4, -0.3, 15, 27
Sort 2, 0.1, -3/2, -3/5 in ascend... | {
"pile_set_name": "DM Mathematics"
} |
+ d. Calculate the highest common divisor of u and 77.
11
Suppose -6*t = -8*t - 3*j + 75, 2*j = -6. Calculate the highest common factor of t and 1134.
42
Let x(v) = -19*v - 16. Let f be x(-3). What is the highest common factor of 164 and f?
41
Let o(p) = -p**2 + 9*p + 16. Let j be o(10). What is the greatest common fa... | {
"pile_set_name": "DM Mathematics"
} |
1*f**2
Collect the terms in 147*n**2 + 39078906*n - 39078906*n + 142*n**2 - 271*n**2.
18*n**2
Collect the terms in -942 - m + m + 970*m**2 + 1692*m**2 + 942.
2662*m**2
Collect the terms in -12220198 + 12220198 - 16*r**3.
-16*r**3
Collect the terms in 34*g - 7*g + 69*g + 84*g + 3*g - 74.
183*g - 74
Collect the terms in ... | {
"pile_set_name": "DM Mathematics"
} |
.95 - -0.15. Let b = o - 6.1. Sort 3, -6/7, b in increasing order.
b, -6/7, 3
Let y = 215 - 1077/5. Let u be -2 - 14/8*-1. Let l = 0.11 - -3.89. Sort y, u, l in descending order.
l, u, y
Let d = 37/196 + 3/49. Let y = 0.1 + -0.6. Sort d, y, -2/7.
y, -2/7, d
Let u be (15/9)/(2/(-6)). Let z(x) = 2*x**2 - 3*x + 3. Let i(k... | {
"pile_set_name": "DM Mathematics"
} |
pose 8*h - 3*h - 60 = 2*r, -3*h + 2*r = -36. What is the remainder when m/(-10) - (-3)/(-15) is divided by h?
10
Suppose 9 = 4*v - 7. Suppose 0 = v*k - 4*i - 56, -2*k - 26 = -5*k - 5*i. Suppose -6*l + 21 = -3*l. Calculate the remainder when k is divided by l.
5
Let w(c) = -c**3 + 7*c**2 + 8*c - 22. Suppose 2*x = 5*g + ... | {
"pile_set_name": "DM Mathematics"
} |
Solve 11 = -2*g + s, j = -2*g - 6*s + 4*s - 8 for g.
-5
Suppose -4*v + 26 = -2*s, -s = -6*s - 15. Solve -b + v*z - 32 = -5*b, 2*z = -4*b + 20 for b.
3
Let y = -88 - -185. Let a = y + -43. Let l = 84 - a. Solve 3*s = s - 10, -n = -5*s - l for n.
5
Let w = 2237 - 2217. Solve -5*x - w = -5*j, 5*x - 10*x = 5 for j.
3
Let ... | {
"pile_set_name": "DM Mathematics"
} |
-3288/12551 + 30/163. Which is smaller: a or b?
a
Suppose -3*u = 4*r + 3489, -20*u = -24*u - r - 4626. Are -1155 and u nonequal?
False
Let o = 4.67 - 472.67. Which is smaller: o or -2/5?
o
Let k(b) = -10*b + 861. Let n be k(86). Is n not equal to 2/5325?
True
Let t be 2 + 22/(((-8)/(-18))/(88/36)). Which is greater: 13... | {
"pile_set_name": "DM Mathematics"
} |
easing order.
4, 1/6, -0.01719, -2/5, -5
Sort 2, -2/13, -3, 6, -1, 0.1 in descending order.
6, 2, 0.1, -2/13, -1, -3
Put -3/2, -0.113, 1/32, 1 in ascending order.
-3/2, -0.113, 1/32, 1
Sort 1/7, 17.75, -1, 5/2, -6 in descending order.
17.75, 5/2, 1/7, -1, -6
Sort -68, -2342, -1, -4 in decreasing order.
-1, -4, -68, -23... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 2*r = 5*r - 15. Which is the nearest to 0? (a) x (b) r (c) g
c
Let z = 521 + -520. Which is the closest to 0.2? (a) z (b) 0.06 (c) -10
b
Let b be 0 - (2/(-4) - -1). Let o = -1716 + 1715.9. What is the closest to -0.1 in b, o, 1/3?
o
Let s = -0.037 + -0.263. Let z(r) = r**2 + 3*r - 6. Let y be z(-5). What ... | {
"pile_set_name": "DM Mathematics"
} |
(u - u - u**2)*(0*u**2 + 2*u**2 - u**2)*(19 + 1 - 4).
-16*u**4
Expand -2*m**3 + m**3 + 4*m**3 + (-2*m**2 - m**2 + 7*m**2)*(-3*m - m + 6*m).
11*m**3
Expand (2*u**2 + 0*u**2 - 3*u**2)*(0*u + u + 0*u).
-u**3
Expand 7*w**3 + 1 - w**3 - 4*w**3 + (3 - 3 + 3*w)*(3 - 3 - 2*w**2).
-4*w**3 + 1
Expand -2*a**5 + 5*a**5 - 4*a**5 + ... | {
"pile_set_name": "DM Mathematics"
} |
/10
Two letters picked without replacement from {o: 9, y: 7, b: 3}. What is prob of sequence bo?
3/38
Calculate prob of sequence ue when two letters picked without replacement from {u: 4, z: 3, m: 1, e: 1, f: 5}.
2/91
What is prob of sequence elo when three letters picked without replacement from {e: 1, l: 2, t: 1, o: ... | {
"pile_set_name": "DM Mathematics"
} |
me?
True
Is 893965057 prime?
True
Is 1868435329 a prime number?
True
Is 15028611911 a composite number?
True
Is 2746473187 composite?
True
Is 468061987 a prime number?
False
Is 27473084209 a composite number?
True
Is 76095038369 composite?
True
Is 408860623 prime?
True
Is 110934724421 a prime number?
True
Is 1939053203... | {
"pile_set_name": "DM Mathematics"
} |
t of l?
3
Suppose 5*u = -n + 69813, -6 = 4*n - 18. What is the tens digit of u?
6
Suppose 81903 = 5*p + 6*p - 25083. What is the tens digit of p?
2
What is the hundreds digit of (-1)/(-5) - (-17173568)/1160?
8
Suppose 1491 = 2*z - 259. Let q = -484 + z. Let g = q + -226. What is the units digit of g?
5
Let j(c) = 15*c ... | {
"pile_set_name": "DM Mathematics"
} |
fy 3*(sqrt(5) + -1 + 0 + -5 + ((sqrt(5) + -1)**2 + -3 - (sqrt(5) - (sqrt(80) + 2)))).
-3 + 6*sqrt(5)
Simplify 1 + -3 + 1 + sqrt(76) - (-1*sqrt(912) - sqrt(57))/(sqrt(147)*2).
-1 + 33*sqrt(19)/14
Simplify 5*(1 + sqrt(1100) + 3 + sqrt(1100) + 6*sqrt(1100)*-1)**2.
-1600*sqrt(11) + 88080
Simplify (5*-1*2*sqrt(209))/((sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
2)*(s + 2*s - 5*s) + (0*s**2 + 2*s**2 - s**2)*(s - 3*s + 0*s) + s**3 - s**3 + s**3.
-5*s**3
Expand -5*u**5 + 4*u**5 + 0*u**5 - 174*u**3 + 17*u**5 + 174*u**3 - u**5 - 2*u**4 + 2*u**4 + (3*u - 4*u + 3*u)*(-3*u**4 + 3*u**4 - 3*u**4).
9*u**5
Expand -5*o + 5*o - o**2 + 2*o**2 + o**2 - 4*o**2 + (-5 - 2*o + 5)*(4 - 4*o - 4).
... | {
"pile_set_name": "DM Mathematics"
} |
st common factor of 60 and a?
15
Let h be (21/(-9) + 5)/(11/165). Calculate the highest common divisor of h and 20.
20
Let l(x) = 56*x - 40. Let g be l(5). What is the highest common divisor of 45 and g?
15
Suppose -2*j = -10, -23*j + 20*j = 2*b - 31. Calculate the greatest common factor of 12 and b.
4
Suppose 0 = 2*b ... | {
"pile_set_name": "DM Mathematics"
} |
What is the t'th term of -767, -1270, -441, 2386, 7877, 16698, 29515?
111*t**3 - 1280*t + 402
What is the i'th term of 3187016, 3187002, 3186988, 3186974, 3186960?
-14*i + 3187030
What is the k'th term of -879985, -880008, -880031, -880054?
-23*k - 879962
What is the d'th term of 238239, 476485, 714731, 952977, 119122... | {
"pile_set_name": "DM Mathematics"
} |
y**2. Suppose -8 = -4*t - 0. Suppose 4*n + z = 4*z + 36, 0 = -n - 2*z - t. Let k(v) = n - v - 6. What is x(k(c))?
-c**2
Let c(b) = 2*b**2. Let m(z) = 10*z + 25 - 25. Calculate m(c(j)).
20*j**2
Let a = -32 + 55. Let g(h) = a + 4*h - 48 + 25. Let w(x) = 5*x**2. Determine w(g(z)).
80*z**2
Let z(l) = 4*l. Let r(w) be the s... | {
"pile_set_name": "DM Mathematics"
} |
erivative of f**3/6 + 8356*f. Let r(s) = -13*s + 77. Give r(b(m)).
-13*m + 77
Let t(u) = -5916*u. Let x(l) = -87*l. Let q(h) = -6*t(h) + 406*x(h). Let d(o) be the second derivative of -o**4/12 + 2822*o. What is d(q(c))?
-30276*c**2
Let f(n) = -2*n**2. Suppose -6*d - 8780 = -11*d. Let z(t) = 911*t**2 + 731*t**2 - d*t**2... | {
"pile_set_name": "DM Mathematics"
} |
6/39 - 6*v**5/65 - 5*v**4/13 + 8*v**3/3 - 72*v**2/13 + 64*v/13 + 263. Solve m(b) = 0.
-4, 1, 2
Suppose 660*k - 675*k = -60. Find d, given that -56/11*d**2 + k*d**3 + 34/11*d - 16/11*d**4 - 8/11 + 2/11*d**5 = 0.
1, 4
Let v(m) = -480*m**4 - 8616*m**3 - 386*m**2 + 594*m + 68. Let o(y) = 2*y**4 - 2*y**3 - y**2 + y. Let n(t... | {
"pile_set_name": "DM Mathematics"
} |
mon divisor of a and v?
40
Let y(k) = -k**3 - 33*k**2 + 276*k - 136. Let h be y(-40). Let g = -7 - -151. What is the greatest common divisor of g and h?
24
Let c(j) = j + 13. Let x(d) = -d**2 + 9*d - 2. Let w be x(10). Let u be c(w). Calculate the highest common factor of u and 4.
1
Let r = -227 + 229. What is the grea... | {
"pile_set_name": "DM Mathematics"
} |
2/7, -77, 1/3, -4?
-77
What is the third smallest value in -3, -14, -0.1, 0.3, 2?
-0.1
What is the fourth biggest value in 0.4, -10, 4, 2/23?
-10
What is the fourth smallest value in 375, 0, 4, 0.3?
375
Which is the second biggest value? (a) -161 (b) 1 (c) 161
b
What is the third smallest value in -0.2, 27, 3, 2/27?... | {
"pile_set_name": "DM Mathematics"
} |
et k(q) = 6*q**2. Let f(v) be the third derivative of v**5/12 - 6*v**2. Determine 3*f(l) - 2*k(l).
3*l**2
Let l(z) = 3*z - 17. Let x(s) = -s + 6. Let j be 2/(-5) + (-216)/60. Give j*l(r) - 11*x(r).
-r + 2
Let j(m) = 2*m**2 + 1. Let w(a) = -3*a**2 - 2. Let l be 0 - (-2 - -3) - -3. Let b = l - -3. Calculate b*w(i) + 8*j(... | {
"pile_set_name": "DM Mathematics"
} |
- 2881 = 0. What is the units digit of s?
7
Let w(q) = -113*q - 32. What is the units digit of w(-4)?
0
Suppose 4*l - 15 - 13 = 0. Suppose 0 = -4*m + 5*n + 252, 3*n - 56 = -m + l. What is the tens digit of m?
6
What is the hundreds digit of (-1748)/(-3)*177/236?
4
What is the tens digit of (-4)/36 + 213696/162?
1
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
y 16?
-346.1
Work out -0.65 + 1340.
1339.35
What is -0.4 minus 2.378?
-2.778
Work out -7057 - -4.
-7053
Work out -0.13 + 748.
747.87
526 - 41
485
Sum 2081 and -5.
2076
6.217+-0.08
6.137
What is the difference between 0.54 and -0.16426?
0.70426
What is -0.04 take away -0.042071?
0.002071
Put together -655 and -3.
-658
W... | {
"pile_set_name": "DM Mathematics"
} |
2 (c) -0.4 (d) 8
b
What is the closest to -19 in 75, 0.2, -2/5, -0.08?
-2/5
What is the nearest to -1 in -0.5, 1/3, -12610, 2/11, 0.4?
-0.5
What is the closest to -0.6 in -2, -5.8, 23, 1/4, 4?
1/4
What is the nearest to -35/2 in 5, -1.1, 2, -2?
-2
Which is the nearest to 3? (a) -0.1 (b) -1/6 (c) -4/5 (d) 10 (e) ... | {
"pile_set_name": "DM Mathematics"
} |
1/110
Four letters picked without replacement from {k: 2, j: 4, v: 2}. What is prob of sequence kkvv?
1/420
What is prob of sequence nns when three letters picked without replacement from nannsnrnnannannsbn?
55/1224
Two letters picked without replacement from botwtoyc. Give prob of sequence ct.
1/28
What is prob of seq... | {
"pile_set_name": "DM Mathematics"
} |
+ 1. Suppose v = -v - 4. Let w be p(v). Let r = 14 + -18. Sort w, -3, r in decreasing order.
w, -3, r
Let m = 0.24 - -0.06. Sort -5, 6, m in decreasing order.
6, m, -5
Suppose -q - 3 + 2 = 0. Sort 0, 17, q in ascending order.
q, 0, 17
Let t(g) = g - 4. Suppose 20 = 3*j + j. Let v be t(j). Let d be (9/12)/(v/(-4)). Sor... | {
"pile_set_name": "DM Mathematics"
} |
e (9/8)/((-24)/(-32)). Which is the nearest to j? (a) z (b) -1/4 (c) 0.3
c
Let o be (-50)/20*(-1 - (-24)/25). Let g = 0.49 + -27.49. Let c = 30 + g. What is the nearest to 2 in c, 0.5, o?
c
Let x = 303 - 307. Let u = 71894/7 - 10226. Let y = -44 + u. What is the nearest to 1/8 in y, -5, x?
y
Let y be (-12)/10*15/(-6... | {
"pile_set_name": "DM Mathematics"
} |
4507 a factor of 267598618?
True
Is 835986840 a multiple of 39?
True
Is 987849918 a multiple of 2313?
True
Is 150517874 a multiple of 3497?
True
Is 40 a factor of 2066763451?
False
Is 16 a factor of 7499152?
True
Is 2058275 a multiple of 2465?
True
Is 6987672 a multiple of 6?
True
Is 61 a factor of 3922423?
False
Does ... | {
"pile_set_name": "DM Mathematics"
} |
r**4 + 744*r**3 + 6*r**2
Let r(j) = -4*j + 1. Let p(h) = -477*h + 117. Let w(m) = 6*p(m) - 702*r(m). Let d(v) = -2*v**2. Determine w(d(t)).
108*t**2
Let x(r) = -4365*r. Let h(o) = 9*o + 1. What is h(x(q))?
-39285*q + 1
Let j(a) = -4*a - 2. Let q(l) be the first derivative of l**3 - 79. Give j(q(x)).
-12*x**2 - 2
Let l(... | {
"pile_set_name": "DM Mathematics"
} |
.4, -13/2.
-60, -10.4, -13/2
Sort 2, 5, 909, -809 in ascending order.
-809, 2, 5, 909
Sort 18, 1, -2, 3, 10 in descending order.
18, 10, 3, 1, -2
Put -11834, 5, 2, -5, 1 in decreasing order.
5, 2, 1, -5, -11834
Sort 5, 16, 0, -11, 24 in decreasing order.
24, 16, 5, 0, -11
Sort -5, 0.5, -0.02, -0.06, 77 in ascending ord... | {
"pile_set_name": "DM Mathematics"
} |
et r = 24 + -25. Which is the nearest to 0? (a) r (b) 6 (c) y
a
Let x(l) = -l**3 - 5*l**2 + 4*l - 5. Let s be x(-6). Let z = -2688 - -2679. Let t = s + z. Which is the closest to -0.1? (a) t (b) -0.4 (c) 4
b
Let d = 0.5 + -0.5. Let s = 0.41 - 0.01. Let y = -0.359 - -0.059. What is the closest to y in 4, s, d?
d
L... | {
"pile_set_name": "DM Mathematics"
} |
= -4*k(u) + 3*p(u). Give m(i) + r(i).
-i + 1
Let b(h) = -1. Let v(w) = 4*w - 20. Suppose 5*a - 2*s - 5 = -s, 0 = 2*a - 3*s + 11. Suppose k - 82 = 4*g, 2*g - 5*g - a*k = 56. Determine g*b(f) + v(f).
4*f
Let a(u) = -u - 1. Let v be 52/117 - 30/(-54). Let x(f) = 3*f - 14. Give v*x(z) + 5*a(z).
-2*z - 19
Let q(g) = -10*g**... | {
"pile_set_name": "DM Mathematics"
} |
b of picking 1 u and 2 q?
154/323
Two letters picked without replacement from uuuxxuuuuuuuuuuxuu. What is prob of picking 2 x?
1/51
What is prob of picking 2 o and 2 m when four letters picked without replacement from {m: 3, s: 5, o: 4}?
2/55
What is prob of picking 1 k and 1 u when two letters picked without replaceme... | {
"pile_set_name": "DM Mathematics"
} |
lve 7*a - 21*a - 84 = 0 for a.
-6
Solve -3 = -5*z + 7 for z.
2
Solve -13*t = 76 - 24 for t.
-4
Solve l = -4*l + l for l.
0
Solve -45 = 13*m + 20 for m.
-5
Solve 27*z + 48 = 19*z for z.
-6
Solve 0 = 219*a - 215*a - 4 for a.
1
Solve -163 - 250 = -59*k for k.
7
Solve -1473 = 168*x + 207 for x.
-10
Solve 3*k + 25 - 40 = 0 ... | {
"pile_set_name": "DM Mathematics"
} |
m of 210235, 209713, 209191, 208669?
-522*m + 210757
What is the q'th term of 44305861, 44305857, 44305851, 44305843, 44305833, 44305821?
-q**2 - q + 44305863
What is the w'th term of -267986, -535962, -803932, -1071896?
3*w**2 - 267985*w - 4
What is the u'th term of -16044, -28120, -40196, -52272, -64348?
-12076*u - 3... | {
"pile_set_name": "DM Mathematics"
} |
93*w - 3
Let h(g) = g + 5. Let n(c) = -c - 4. Let f(a) = -4*h(a) - 5*n(a). Let o(s) be the first derivative of 8*s**2 - 2*s - 57786. What is 12*f(t) - o(t)?
-4*t + 2
Let y(l) = -51*l**2 - 10*l + 6. Let z(s) = -56*s**2 - 10*s + 9. What is -4*y(c) + 3*z(c)?
36*c**2 + 10*c + 3
Let z(f) = -17315*f**3 - 2*f**2 + 2. Let h(c)... | {
"pile_set_name": "DM Mathematics"
} |
2
Find the first derivative of -75*o**3 + 146 wrt o.
-225*o**2
Find the first derivative of 4472*h**3*k**3 + 195*h**3*y + 5*h*y - k**3*y wrt y.
195*h**3 + 5*h - k**3
Differentiate -7*s**2 - 75*s - 4900 with respect to s.
-14*s - 75
Find the third derivative of 16*l**4 - 3*l**3*y**3 + 15*l**2*y - 2*y**3 wrt l.
384*l - 1... | {
"pile_set_name": "DM Mathematics"
} |
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