text stringlengths 270 8.19k | meta dict |
|---|---|
pose 2*l = 12 + d. What are the prime factors of l?
3, 7
Suppose s + 1 = -q - 2, 5*q = s - 21. Suppose l - s = 1. List the prime factors of 4 + 2 + (l - 4).
2
What are the prime factors of 6 + -4 + 9/1?
11
Suppose 4*j + 78 = r + 2*r, -2*j = r - 16. What are the prime factors of r?
2, 11
Let d be 5/(-4)*60/15. Let a(b) ... | {
"pile_set_name": "DM Mathematics"
} |
2229341 (base 10) to base 16.
-22045d
Convert 2122533 (base 6) to base 11.
71410
Convert 574ad (base 15) to base 13.
995b3
Convert -93a452 (base 11) to base 16.
-16ffa1
What is -6338a07 (base 12) in base 5?
-14244134004
Convert -659475 (base 10) to base 5.
-132100400
97329 (base 15) to base 13
13a604
Convert -221256332... | {
"pile_set_name": "DM Mathematics"
} |
m) = -692*m. Let t(b) = -4*b**2 + 1. Give p(t(v)).
2768*v**2 - 692
Let j(o) = -384*o**2. Let b(c) = -c + 27. Let m(w) = -w + 18. Let v(d) = -2*b(d) + 3*m(d). What is v(j(p))?
384*p**2
Let u(y) = -2*y. Let j(n) = -23095*n + 11614*n + 12109*n. Determine j(u(x)).
-1256*x
Let p(b) = 2*b. Let r(q) = 1610*q + 11. Give p(r(y)... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 147*u**2 + 110*u**2 + 116*u**2 - 499*u**2.
-18*u**2
Collect the terms in 645*a**2 - 1258*a**2 - 609*a**2.
-1222*a**2
Collect the terms in -345397 + 216*v**3 + 345397.
216*v**3
Collect the terms in -36818632*s + 37794279*s - 70422359*s.
-69446712*s
Collect the terms in 1664 - 1671 + 2*x**3 + 7.
2*x**3
Collect the t... | {
"pile_set_name": "DM Mathematics"
} |
52.778 millilitres in litres?
1.052778
What is 2.313558 centimeters in nanometers?
23135580
What is 4/15 of a minute in seconds?
16
How many months are there in 21/2 of a year?
126
How many nanoseconds are there in 52519.4us?
52519400
How many tonnes are there in 97493.82ug?
0.00000009749382
How many millilitres are th... | {
"pile_set_name": "DM Mathematics"
} |
= 12*n + n - a*n. Let u(i) be the second derivative of i**4/6 - 5*i. Calculate u(p(v)).
32*v**2
Let q(y) = -43517*y. Let b(t) = 3*t. Give q(b(i)).
-130551*i
Let v(x) = -10*x. Let m be -3*(-4)/(-24)*-10. Suppose 7*b = -m*j + 3*b + 23, 2*j + 2*b = 10. Let k(s) = -4 + j*s + 7 - 3. What is k(v(y))?
-30*y
Let u(s) = -s**2 ... | {
"pile_set_name": "DM Mathematics"
} |
to two dps?
-1.2
What is -894128.7 rounded to the nearest ten thousand?
-890000
Round 249.96336 to the nearest 100.
200
What is 1586.305884 rounded to zero decimal places?
1586
What is 26140461.38 rounded to the nearest 1000?
26140000
What is -3368608.942 rounded to the nearest 1000?
-3369000
What is 317.893964 rounde... | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in 5*r**2 + 375*r**3 - 151214*r + 1945*r**3 - 5*r**2 + 151214*r.
2320*r**3
Collect the terms in -4018*c + 5 - 4022*c + 12034*c - 4006*c.
-12*c + 5
Collect the terms in 255920*o**3 - 127946*o**3 - 127948*o**3.
26*o**3
Collect the terms in -50 - 121*j**2 - 10*j**2 - 180*j + 129*j**2.
-2*j**2 - 180*j - 50
... | {
"pile_set_name": "DM Mathematics"
} |
m, 1 s, and 2 o when four letters picked without replacement from {d: 3, m: 6, q: 2, o: 3, s: 1, n: 5}?
6/1615
What is prob of picking 2 m and 1 j when three letters picked without replacement from {m: 6, j: 7, a: 4}?
21/136
Four letters picked without replacement from {a: 9, o: 7}. What is prob of picking 4 o?
1/52
Ca... | {
"pile_set_name": "DM Mathematics"
} |
Let q be 2/(-7) + 531/21. Let s = -22 + q. Solve -s*t - y = 16, -3*y = t - y + 7 for t.
-5
Let t be 2/8 + (-39)/(-4). Let s = 13 - 16. Let z be (2/(-4))/(s/12). Solve 0 = z*q - n + 5 - 19, 0 = 2*q + 5*n + t for q.
5
Suppose 0 = s - 4*s. Suppose 4*k - 5*c - 45 = 0, s = -k + c - 0*c + 10. Solve 0 = -4*z - 4*r + k - 1, -... | {
"pile_set_name": "DM Mathematics"
} |
2*f**5 - 2*f**5 + 2*f**5 + 0*f**2 + 0*f**2 + (5 - 5 + f)*(0*f**4 + 4*f**4 - 2*f**4).
2*f**5
Expand (16 - 14 + 20)*(2 - 2*i**3 - 2).
-44*i**3
Expand -u**2 + 5*u**2 - 3*u**2 + 3 - 3 + 2*u**2 + (2 - 4 + 0)*(-5*u**2 + 2*u**2 + u**2) - u**2 - 1 + 1 + 5*u**2 - 3*u**2 - 4*u**2.
4*u**2
Expand (-4 + 9 + 3)*(4 + 0 - 1)*(2*k**2 ... | {
"pile_set_name": "DM Mathematics"
} |
) -2/9 (c) 4
b
Which is the nearest to -1? (a) -0.2 (b) 155 (c) 1
a
Which is the closest to 1/3? (a) 5 (b) 0.9 (c) -1/6 (d) -4/7
c
Which is the nearest to -3? (a) 2 (b) -19/2 (c) 2/9 (d) 0.2
d
Which is the nearest to 0? (a) -0.2 (b) -35 (c) 5 (d) -5/3
a
What is the nearest to -0.28 in 1, -0.2, 3, 0.3?
-... | {
"pile_set_name": "DM Mathematics"
} |
ed by 12.
4
Let y(w) = w + 10. Let n be y(-8). Let u be (-3)/4*n*-2. Suppose -c - 3*k = -2 - 0, u*c - 4*k - 58 = 0. What is the remainder when 40 is divided by c?
12
Suppose -3*b - 938 = -2726. Calculate the remainder when b is divided by 24.
20
Suppose -y - 3 = 0, -4*h - 2*y + 24 = 2. Let q = h + -5. What is the remai... | {
"pile_set_name": "DM Mathematics"
} |
e n(-4).
13
Let a(w) = w**2 - 2*w + 3. Let i be a(2). Let m(z) = z**3 + z**2 - 2. Let n be m(0). Let q be 14/i - n/(-3). Let o(h) = h**3 - 3*h**2 - 6*h + 3. Calculate o(q).
-5
Suppose 0*l + l = 5*d - 9, -2*l + 6 = 2*d. Let m(q) = 4*q**2 - q. Let x be m(-1). Let c(s) = -x*s**d - s + s. What is c(-1)?
-5
Let r(v) = -3*v ... | {
"pile_set_name": "DM Mathematics"
} |
ich is the second biggest value? (a) k (b) 1/7 (c) x
c
Suppose -23 - 2 = 5*m. Suppose 6 = 3*r, -5*c + 20 = -2*c + 4*r. Suppose c*o - 2*o + 8 = 0. What is the second biggest value in -0.3, o, m?
o
Let s = -8 + 18. Let h be (s/(-15))/((-1)/(-6)). Suppose 0 = -5*d + 2*j + 12 - 1, -2*j = d - 7. Which is the third smalle... | {
"pile_set_name": "DM Mathematics"
} |
ppose p = -3*p - 12, -3*l - p = -309. Suppose -4*m = m + 270. Let v = l + m. Calculate the greatest common factor of 5 and v.
5
Let h = -9 - -15. Suppose 16*z - 218*m + 217*m - 115 = 0, 3*z + 4*m = 76. What is the highest common factor of z and h?
2
Let m = 3487 + -3362. Calculate the highest common factor of m and 45.... | {
"pile_set_name": "DM Mathematics"
} |
).
-25*r**4 - 2530*r**2
Let b(j) = -5*j**2. Let t(i) = -5039798*i. What is t(b(p))?
25198990*p**2
Let q(f) = 30*f. Let j(x) = 13049*x**2 - 4*x. Determine j(q(o)).
11744100*o**2 - 120*o
Let w(c) = -94*c**2 + 48*c - 12. Let k(u) = -87*u**2 + 44*u - 11. Let p(r) = 12*k(r) - 11*w(r). Let d(b) = -4 + 4 - b. Determine d(p(y)... | {
"pile_set_name": "DM Mathematics"
} |
a - 43, 171*i - 512*i + 185*i + 184*i = -a - 43 for a.
13
Solve 0 = -3*r - 3*r - 4*m - 46, -8*r + 4*r - 196 = 13*m for r.
3
Solve -4*o = -3*l + 199, -105*l + 8 = -104*l - 0 - 57 for o.
-1
Solve 390*o - 228 = 382*o - 2*v - 2*v - 0*v, 4 = 4*v for o.
28
Solve l = -4*l - 41*i - 538, 16*l + 13*l + 18 = 24*l - i for l.
-1
So... | {
"pile_set_name": "DM Mathematics"
} |
value in b, 1/8, 5?
b
Suppose -4*x + 30 = -2*w, -2*x - w = w. Suppose -13 = -3*m - 2*d + 3, 0 = -x*m - 5*d + 30. Which is the biggest value? (a) m (b) -4/5 (c) -4
a
Let f(a) = a**3 + 5*a**2 + 5*a. Let r be f(-4). What is the fourth biggest value in r, -0.1, 2, 0.9?
r
Let j = 38 - 38.4. Which is the third biggest val... | {
"pile_set_name": "DM Mathematics"
} |
.1, 3, 1/6?
3
What is the nearest to 2/3 in 10, 5, 2/3?
2/3
What is the closest to 0.1 in -4, 4, 2/61, 0.1?
0.1
What is the nearest to -2/3 in -0.136, -0.1, 1/7?
-0.136
Which is the nearest to -2? (a) 2/39 (b) -5 (c) -25
a
Which is the nearest to -0.2? (a) 5 (b) 74 (c) -0.3 (d) -1/3
c
What is the nearest to 1/8 ... | {
"pile_set_name": "DM Mathematics"
} |
1/420
Two letters picked without replacement from {b: 1, t: 2}. Give prob of sequence bt.
1/3
Four letters picked without replacement from {g: 1, q: 1, a: 1, h: 2, e: 1, b: 1}. What is prob of sequence qhge?
1/420
Three letters picked without replacement from {l: 6, d: 2, u: 6, n: 4}. Give prob of sequence unu.
5/204
... | {
"pile_set_name": "DM Mathematics"
} |
.04 (c) 16 (d) 4 (e) -0.07 (f) 28
e
What is the biggest value in -2.2, 1/73, -65, 0.1?
0.1
Which is the third smallest value? (a) 0 (b) -4/7 (c) -0.01 (d) 0.611
a
What is the biggest value in -7, -1/3, 3, -15, 5?
5
Which is the third biggest value? (a) 2 (b) -0.4 (c) 77 (d) -45 (e) -1
b
What is the second ... | {
"pile_set_name": "DM Mathematics"
} |
)/4
Let u(a) be the second derivative of -7*a**6/60 + 19*a**5/40 + a**4/4 + a + 3. Find l, given that u(l) = 0.
-2/7, 0, 3
Solve -i**3 + 777 - 15*i - 771 - 2*i**3 + 12*i**2 = 0 for i.
1, 2
Factor -36*h - 24*h - h**2 - h**4 - 12*h**3 - 45*h**2 - 25.
-(h + 1)**2*(h + 5)**2
Factor -15*l - 5/4*l**4 + 10*l**2 + 5/4*l**3 + 0... | {
"pile_set_name": "DM Mathematics"
} |
the highest common divisor of 90 and s.
18
Let x be (13/26)/(1*(-1)/(-124)). Calculate the greatest common divisor of 310 and x.
62
Let f(y) = -y**2 + 7*y. Let b be f(3). Let j = -18 + 54. Calculate the greatest common divisor of j and b.
12
Suppose 2*t - 139 = 1. Let l = 3 + 2. Suppose -5*j = -l*h - t, 4*j + 2*h - 12 ... | {
"pile_set_name": "DM Mathematics"
} |
ds digit of 1841?
1
What is the ten thousands digit of 20502?
2
What is the units digit of 1142?
2
What is the tens digit of 1878?
7
What is the thousands digit of 1984?
1
What is the hundreds digit of 11394?
3
What is the units digit of 3823?
3
What is the hundreds digit of 1389?
3
What is the units digit of 2228?
8
W... | {
"pile_set_name": "DM Mathematics"
} |
1040*n for n.
13
Solve 651*f + 53556 = -6987 for f.
-93
Solve 4860*u + 35373 = -100707 for u.
-28
Solve 32 = 204*h + 128 - 12 + 936 for h.
-5
Solve -133*d + 14 - 36 + 4 = -18 for d.
0
Solve 35*m = 1383 - 1879 - 1079 for m.
-45
Solve -17*n = -32 + 365 - 1217 for n.
52
Solve -12*h = h - 110028 + 109131 for h.
69
Solve -... | {
"pile_set_name": "DM Mathematics"
} |
6. Suppose -r*q = b + 8, 3*b + q + 10 = 3*q. Sort -2, o, b in decreasing order.
-2, o, b
Let l(b) = b**3 + 13*b**2 + 2. Let f be l(-13). Let h(p) = 2*p - 9. Let z be (-1)/(((-3)/21)/1). Let q be h(z). Put f, -5, q in increasing order.
-5, f, q
Let x = 0.819 + 0.181. Put -3/7, x, 25 in descending order.
25, x, -3/7
Let ... | {
"pile_set_name": "DM Mathematics"
} |
= 7*u + 5. Let o(z) = -10*z - 7. Let r(w) = -5*o(w) - 7*x(w). Suppose 2*n - 54 = -2*q, -2*n + 2*q + 38 + 20 = 0. Suppose 25*y = 32*y + n. What is r(y)?
-4
Let n(m) = -m + 1. Let d = -9 - -6. Let z(y) = 6*y + 24. Let u be z(d). Determine n(u).
-5
Let f(z) = -2*z**2 - 26*z + 33. Let y be f(-14). Let w(a) = 9*a - 3 - 3*a ... | {
"pile_set_name": "DM Mathematics"
} |
(2 - 1) + 0
-4
What is -4 + 1 - -3 - -6?
6
Calculate -4 + 3 + -8 + 9 + -1.
-1
-135 - -141 - (0 + (-4 - 1))
11
What is the value of -8 - (-9 - -8) - -2?
-5
What is -4 + -5 + 7 - (0 + -2)?
0
Calculate -1 + (1 + 2 - 5).
-3
Calculate (-7 - -1) + 0 + 1 - -4.
-1
Evaluate 4 - (-6 - 4 - -17).
-3
What is the value of -1 + (0 -... | {
"pile_set_name": "DM Mathematics"
} |
second derivative of -4*c**l - 4*c + 4*c + 8*c wrt c?
-8
Let j(l) be the first derivative of 2*l**8/7 + 11*l**4/3 - 7*l - 27. Let a(v) be the first derivative of j(v). Find the third derivative of a(g) wrt g.
1920*g**3
Let h(f) = -6*f**3 - 13*f**2 + 4. Let s(p) = -7*p**3 - 13*p**2 + 5. Let g = -44 + 48. Let w(x) = g*s(... | {
"pile_set_name": "DM Mathematics"
} |
+ 5*c + 9 = 20, 3*c = -h + 5. Is (5 + 1 + -579)/h a prime number?
False
Is (-402213488)/(-2616) + 1/(-3) prime?
False
Let x = -50181 - -72226. Is x a composite number?
True
Let r(t) = 107*t**3 - 4 - t**2 - t**2 - 3*t**2. Let i be r(4). Suppose 0 = -5*o + 3*f + i, -o - 4*f - 4065 = -4*o. Is o a prime number?
False
Let ... | {
"pile_set_name": "DM Mathematics"
} |
*3 - 79859008*i**2 - 657616896*i - 578617344 = 0. What is i?
-288, -218, -8, -1
Solve -9*z**4 - 1721793*z**3 + 894850935*z**2 - 116408532387*z + 77208486894 = 0.
-191829, 2/3, 259
Factor 4*z**2 - 1033066*z - 5681984.
2*(z - 258272)*(2*z + 11)
Find u such that u**2/2 - 3369987*u + 6739973/2 = 0.
1, 6739973
Solve -2*c**5... | {
"pile_set_name": "DM Mathematics"
} |
ich is the closest to w? (a) 1 (b) j (c) -2
b
Let s = 254 - 253. What is the nearest to -18.7 in s, -5, -2?
-5
Let h = -471 - -474. Let k = 3 + -2. Let q = -4 - k. Which is the closest to 0? (a) h (b) q (c) -2/13
c
Let q be (-2)/((-2)/(0 - 1)). Let p = q + 1. Let u be (4/(-30))/((-18)/54). Which is the nearest to... | {
"pile_set_name": "DM Mathematics"
} |
3337, -3338?
-3339
What is next in -79, -374, -877, -1594, -2531?
-3694
What comes next: -612, -590, -568, -546, -524, -502?
-480
What comes next: -582, -587, -604, -639, -698?
-787
What is next in 34, 72, 126, 190, 258, 324, 382?
426
What comes next: 55, 98, 139, 178, 215, 250, 283?
314
What comes next: 54, -10, -76, ... | {
"pile_set_name": "DM Mathematics"
} |
8*sqrt(7) + 9088
Simplify 0 + (-2*sqrt(100)*-2 - sqrt(100))/(sqrt(98) - sqrt(98)*3).
-15*sqrt(2)/14
Simplify 2*(sqrt(140)/sqrt(4)*-5)/sqrt(5) - (4*(sqrt(7) + 0) + sqrt(28)/(sqrt(8)/sqrt(2)) + -4).
-15*sqrt(7) + 4
Simplify (2 + sqrt(2299) + -1 + sqrt(2299) + -2 + 2*(0 + sqrt(2299)) + -3)**2.
-352*sqrt(19) + 36800
Simpli... | {
"pile_set_name": "DM Mathematics"
} |
3, 257069
What are the prime factors of 2544530143?
151, 16851193
List the prime factors of 159443387.
159443387
What are the prime factors of 19594470?
2, 3, 5, 7, 93307
What are the prime factors of 2339598697?
61, 38354077
What are the prime factors of 1165615195?
5, 1951, 119489
What are the prime factors of 10000... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 6*m + 12. Does 18 divide s(11)?
False
Let m = 1648 + -1141. Is m a multiple of 7?
False
Is 0*((3 - 0) + -4) - -1204 a multiple of 28?
True
Suppose 20*i - 46598 = -26*i. Is i a multiple of 19?
False
Let r = 53 + -53. Suppose -2*c + 19 + 247 = r. Does 25 divide c?
False
Let t be 10/45 - 600/27. Let m = t + 10. Let g... | {
"pile_set_name": "DM Mathematics"
} |
t l = 0 - 0.4. Which is the third biggest value? (a) 1 (b) l (c) 3/2
b
Let x = 1/5 - -1/5. Which is the second biggest value? (a) -4 (b) 0.2 (c) x (d) 0.3
d
Let s be 8/(-28) - 46/(-14). What is the second smallest value in -4/3, s, -0.5?
-0.5
Suppose d - 3 = -1. Let j = 11 + -10.6. What is the second biggest val... | {
"pile_set_name": "DM Mathematics"
} |
= 412 + -729. Let o = 35866682420.00000318 - 35866682737. Let b = i - o. Round b to seven decimal places.
-0.0000032
Let q = 128751406 + -73569507. Let b = q + -55181898.950400803. Let g = b - 0.0496. What is g rounded to seven decimal places?
-0.0000008
Let d = -19477.956826 + 19478. Round d to three decimal places.
0... | {
"pile_set_name": "DM Mathematics"
} |
487
What are the prime factors of 19825?
5, 13, 61
What are the prime factors of 421506?
2, 3, 23417
List the prime factors of 202579.
13, 15583
What are the prime factors of 25978579?
11, 43, 4993
List the prime factors of 8829045.
3, 5, 196201
List the prime factors of 72028.
2, 11, 1637
What are the prime factors of... | {
"pile_set_name": "DM Mathematics"
} |
l*q + h and give l.
2
Rearrange (c - 4*c + 2*c)*(-29 + 12 + 11 + (-1 + 4 - 5)*(2 + 2 - 5) - 3 + 4 + 1) to the form m*c + d and give d.
0
Express 136 + 2*m**2 - 4*m**2 - 138 + m**3 in the form j*m**2 + f*m**3 + o*m + u and give j.
-2
Express (p + 2*p**2 - p)*(-3 + p + 3) + (3 - 2 - 2)*(-19*p**3 - 10*p**3 + 19*p**3) in t... | {
"pile_set_name": "DM Mathematics"
} |
l places.
-976
Round -962680.42 to the nearest one million.
-1000000
What is -33874.87972 rounded to the nearest one thousand?
-34000
Round 0.00124876949 to seven decimal places.
0.0012488
What is 0.00322345041 rounded to five decimal places?
0.00322
Round 3.49133197 to the nearest integer.
3
Round -7690322.8 to the ne... | {
"pile_set_name": "DM Mathematics"
} |
ime factors of 828?
2, 3, 23
List the prime factors of 562.
2, 281
List the prime factors of 15091.
15091
What are the prime factors of 3457?
3457
List the prime factors of 34522.
2, 41, 421
What are the prime factors of 15820?
2, 5, 7, 113
List the prime factors of 1167.
3, 389
What are the prime factors of 79337?
793... | {
"pile_set_name": "DM Mathematics"
} |
ple of 27?
False
Is 16 a factor of 662?
False
Is 13618 a multiple of 69?
False
Does 59 divide 295?
True
Does 19 divide 11388?
False
Does 34 divide 2176?
True
Does 45 divide 2579?
False
Is 19 a factor of 4598?
True
Is 17 a factor of 6120?
True
Does 38 divide 1226?
False
Does 32 divide 160?
True
Does 38 divide 30970?
Tru... | {
"pile_set_name": "DM Mathematics"
} |
e the first derivative of i(w). Find the third derivative of h(c) wrt c.
-24*c
Let p(l) be the second derivative of 22*l**6/15 + 7*l**3/3 + l - 18. What is the second derivative of p(d) wrt d?
528*d**2
Let g(v) = -9*v - 7. Let z(a) = 4*a + 3. Let h(x) = 2*g(x) + 5*z(x). Find the first derivative of h(r) wrt r.
2
Find t... | {
"pile_set_name": "DM Mathematics"
} |
+ 20 for s.
5
Suppose 49*q = -49*q + 22932. Solve q*k + 8 = 230*k for k.
-2
Suppose 34*r = 44*r - 150. Let t be 0 - -2 - (-4)/4. Suppose 2*a - 5*h + 25 = a, -a = -t*h + r. Solve a = u + 1 + 1 for u.
-2
Suppose 0 = 2*o - 640*b + 635*b - 19, 3*o - 54 = -b. Solve 0 = -a - o + 14 for a.
-3
Let c = 4383 - 4377. Let o = 33 ... | {
"pile_set_name": "DM Mathematics"
} |
m - 4*h - 1578, -5*m + h + 2895 = 0. What is the remainder when m is divided by 20?
18
Let j(q) = 62*q - 36. What is the remainder when j(1) is divided by 10?
6
Let y = -1287 - -737. Let b = y - -851. Suppose -z = -8*z + b. Calculate the remainder when z is divided by 11.
10
Calculate the remainder when 151 is divided ... | {
"pile_set_name": "DM Mathematics"
} |
f) wrt f?
48*f**2
Let r = -3 + 13. Suppose 4*z - 2 = r. Find the second derivative of -f + 2*f - z*f**4 + 0*f wrt f.
-36*f**2
Suppose 14 + 2 = 4*d. Find the first derivative of 0*a - d + 7 - 2*a - a wrt a.
-3
Let h be (5/3)/5*18. What is the derivative of -2*z + 7*z + h + 3*z - 2*z wrt z?
6
Let t = 19 - 13. What is the... | {
"pile_set_name": "DM Mathematics"
} |
k - 3*i = -a*i + 20 for k.
-1
Suppose -4*a - 15 = 5*k, -16 = -4*k + 3*a + 3. Suppose 3*p + 0*r = -4*r, -k = -p - r. Suppose -3*t + p*t = 4. Solve -3*z = t*u, -5*z - u - 23 = -10*z for z.
4
Let i be (-8)/6*9/(-4). Solve 2*t - i*a = -11, 4*t = -t + 3*a - 5 for t.
2
Suppose -3*d + 86 + 10 = 0. Suppose -5*v + 8 = -3*a + 3,... | {
"pile_set_name": "DM Mathematics"
} |
at least as big as -3/61?
True
Suppose -33 + 163 = -10*n. Suppose 5*j - j + 4 = 5*o, -5*o - 50 = 5*j. Is n less than j?
True
Suppose 0*r + r - 5*w = 88, -2*r = -4*w - 182. Let k = 20 + r. Let p = 123 - k. Which is smaller: 2 or p?
2
Let l be 4 - ((-2)/(-2 - 0) + -49). Suppose -l - 88 = -3*o + a, -4*o - 5*a = -174. Whic... | {
"pile_set_name": "DM Mathematics"
} |
(y) = -y**3 - 6*y**2 - 3*y + 4. Let l be c(-2). Let x(p) = -9*p + 19. Calculate l*x(v) + 11*n(v).
-v - 4
Let q(c) = 4*c**2 + 14*c + 9. Suppose 2*p - 5 = -3*y - 26, 3*p + 24 = -3*y. Let t(w) = -2*w**2 - 7*w - 4. What is y*t(h) - 2*q(h)?
2*h**2 + 7*h + 2
Let w(z) = -160*z - 13. Let j(s) = -40*s - 3. Give 18*j(c) - 4*w(c)... | {
"pile_set_name": "DM Mathematics"
} |
is p(f(u))?
53248*u**4 + 32*u**2
Let m(i) = -2*i**2. Let h(d) = -14*d + 10 - 10 + 2*d. Determine h(m(c)).
24*c**2
Let t(m) be the second derivative of m**4/4 + 15*m. Let n(p) = -p**2. Calculate n(t(i)).
-9*i**4
Let s(v) = -963*v. Let y(b) = b**2. Give s(y(u)).
-963*u**2
Let l(q) = -11*q + 19*q - 9*q. Let n(p) = -24*p.... | {
"pile_set_name": "DM Mathematics"
} |
What is the lowest common multiple of 30 and n(-40)?
810
What is the lowest common multiple of (-1)/(-3) - (-196)/6 and (18 - (-31 - -58)) + 1 + 32?
264
Let i(c) = 90*c + 1632. What is the lowest common multiple of 1656 and i(-12)?
1656
Let q = -2751 + 4623. What is the smallest common multiple of 432 and q?
5616
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
on multiple of (-16)/2*(-6)/3 and i?
112
Suppose -l = 4*s - 16, 0 = 2*s - 5*l + 3*l - 8. Calculate the smallest common multiple of 94 and s.
188
Let z(i) = -5*i**2 + 2*i - 3. Let n be z(2). Let s = 5 + n. Let l = s + 24. What is the lowest common multiple of l and 5?
10
Calculate the common denominator of -52/7 and ((-... | {
"pile_set_name": "DM Mathematics"
} |
108.
-3*(x - 6)**2*(x - 1)
Factor -10*z**3/9 - 76*z**2/9 - 88*z/9 + 16/3.
-2*(z + 2)*(z + 6)*(5*z - 2)/9
Solve -2*j**3/3 + 56*j**2/3 - 256*j/3 - 2048/3 = 0.
-4, 16
Determine r, given that -r**5 + 5*r**4/3 + 11*r**3/3 + r**2 = 0.
-1, -1/3, 0, 3
Find o, given that 4*o**3/3 - 364*o**2/3 + 120*o = 0.
0, 1, 90
Factor 2*u**... | {
"pile_set_name": "DM Mathematics"
} |
0187*d + 54780189*d + 11, 27 = -4*d - 3*l for d.
-3
Solve -4*l = 25*a + 60, 46*l + a + 75 = 22*l + 19*l for l.
-15
Solve 0 = 2*v + 78, -2*o - 115 = -628*v + 631*v for o.
1
Solve -18*z + 15*z + 0*d + 28 = -2*d - 110, -14*d = -z + 966 for z.
0
Solve 5*d = 13*m + 602 + 60, -225 = 5*m - 29*d + 33*d for m.
-49
Solve -27*o +... | {
"pile_set_name": "DM Mathematics"
} |
ive of -84*v**4 - 3*v**3 + v**2 + 13*v - 1?
-2016*v - 18
Find the first derivative of -64*g + 94.
-64
Find the first derivative of -7*d**3*l + 2*d**2*l**2 + 40*l**2 wrt d.
-21*d**2*l + 4*d*l**2
What is the derivative of -q**3 - 7*q + 87 wrt q?
-3*q**2 - 7
Find the third derivative of 126*d**4*f - 9*d**4 + d**3*f**3 + 5... | {
"pile_set_name": "DM Mathematics"
} |
-14)). Suppose 2 + 8 = -5*c. What is c*u(d) + q*v(d)?
2*d**2 + 2*d + 2
Let i(q) = -3*q**3 + 3*q**2 - 3*q**3 + 5*q**3 + q + 0*q**3. Let z(x) = x**3 - 4*x**2 - 2*x. Calculate 4*i(s) + 3*z(s).
-s**3 - 2*s
Let c(r) = 2*r**2 - 3*r - 4. Let t(i) = 4*i**2 - 7*i - 9. Calculate -5*c(u) + 2*t(u).
-2*u**2 + u + 2
Let y(m) = m**3 ... | {
"pile_set_name": "DM Mathematics"
} |
35*k + 196 + 82 for k.
-9
Solve 249*l - 56*l = -386 for l.
-2
Solve 280*z = -273*z + 544*z + 99 for z.
11
Solve -11*d + 62 + 16 = 1 for d.
7
Solve 641*d - 34 = 624*d for d.
2
Solve 454 = 250*o + 3454 for o.
-12
Solve -1959 = 4*d - 962 - 925 for d.
-18
Solve -169 - 471 = -40*l for l.
16
Solve -38*l = -110*l - 1152 for l... | {
"pile_set_name": "DM Mathematics"
} |
s - 37 = 0, -2*i - 2*i = s - 130. Calculate the highest common factor of i and 297.
33
Let h = -70 - -118. Suppose -5*d = 2*p - 6*p - 62, -3*p = 3*d - h. Suppose -2*i + 5*i - 63 = 0. Calculate the greatest common divisor of i and d.
7
Let j(b) = -b**3 - 18*b**2 - 17*b + 29. Let k be j(-17). What is the highest common d... | {
"pile_set_name": "DM Mathematics"
} |
from {u: 1, j: 2, t: 3, g: 6, r: 6}. Give prob of sequence gt.
1/17
What is prob of sequence zz when two letters picked without replacement from {z: 6}?
1
What is prob of sequence xjxy when four letters picked without replacement from {j: 4, y: 2, f: 1, u: 1, x: 2, m: 2}?
2/1485
Calculate prob of sequence ddvd when fo... | {
"pile_set_name": "DM Mathematics"
} |
**p. Let r be i(9). Solve r*d + 2 = -g, d + 2*d = -5*g - 10 for d.
0
Let b(f) = 2*f**2 - 3*f + 2. Let r be b(2). Let w = 12 + r. Solve w = u - 5*u, 0 = 4*l + u - 8 for l.
3
Let d(u) = -u**2 + 16*u - 26. Let y be d(2). Solve -4*l = 3*n - 0*l + 6, y*l = 5*n - 16 for n.
2
Suppose -104 = -21*q + 8*q. Let o = 0 - 0. Suppose... | {
"pile_set_name": "DM Mathematics"
} |
*-3*((sqrt(832)*-2 + -2 + -5*(sqrt(832) + 0) + sqrt(832))*1 + -3)**2*-6.
-2158344 - 34560*sqrt(13)
Simplify (sqrt(171)*2*-2)/sqrt(9)*-5 + ((sqrt(304) - (0 + sqrt(304))) + -3 + -5 + (sqrt(304) - sqrt(304)*-1))**2.
-108*sqrt(19) + 1280
Simplify ((3*(sqrt(3888) + 1 + -2) - (-2 + (sqrt(3888) - 1*sqrt(3888)) + -2))*-5)**2.
... | {
"pile_set_name": "DM Mathematics"
} |
from {h: 3, w: 4, d: 1, z: 4, b: 4, g: 1}. What is prob of sequence dwwb?
1/1190
Three letters picked without replacement from {t: 9, i: 9}. Give prob of sequence tii.
9/68
Four letters picked without replacement from xohnxxxxonhnoli. What is prob of sequence oxlx?
1/546
Calculate prob of sequence mfft when four lette... | {
"pile_set_name": "DM Mathematics"
} |
0.1
c
Let l = -130 - -131. Which is the nearest to l? (a) -1/2 (b) -4 (c) 1 (d) 10
c
Let l = -2/677 + -1348/2031. Which is the closest to 2/27? (a) l (b) 0 (c) 1/2
b
Let n = -571/4 + 143. What is the nearest to 2 in -5, -0.3, n?
n
Let c = -1.7 - -2. Let k = 1921 + -1921. What is the closest to k in -37, c, -0.1... | {
"pile_set_name": "DM Mathematics"
} |
and give m.
-7
Express 0*f - f - 30555 + 33223 - 4*f in the form w*f + o and give w.
-5
Rearrange -3*z**4 + 5563 + 38*z**2 + 291*z**2 - z - 5562 to v*z**3 + t + u*z**4 + j*z**2 + r*z and give t.
1
Rearrange 126 - 12183*s - 126 - 857*s to the form i*s + k and give i.
-13040
Express -274*n**2 + 144 + 203 - 349 as u*n + ... | {
"pile_set_name": "DM Mathematics"
} |
- 2 - s. What is f*v(y) - w(y)?
-y**2
Let x(s) = 6*s - 10. Let v(k) = -10*k + 2. Let d(o) = -17*o + 3. Let b(t) = 3*d(t) - 5*v(t). Determine 10*b(n) - x(n).
-16*n
Let u(z) = -8*z**2 - 39*z + 4. Let b(t) = 11*t**2 + 42*t - 5. Determine 2*b(r) + 3*u(r).
-2*r**2 - 33*r + 2
Let p(n) = 29*n + 4. Let q(b) = -7*b - 1. Give 2... | {
"pile_set_name": "DM Mathematics"
} |
he nearest 100000?
11700000
What is -10.428351 rounded to zero dps?
-10
What is -449.98 rounded to the nearest 100?
-400
What is 6.59534 rounded to two decimal places?
6.6
What is 1.0786898 rounded to the nearest integer?
1
What is 0.005974959 rounded to 6 dps?
0.005975
What is -0.02374848 rounded to two decimal places... | {
"pile_set_name": "DM Mathematics"
} |
- 673*p/3.
p*(p + 673)*(4*p - 1)/3
Factor -k**2/6 + 2*k/3 - 2/3.
-(k - 2)**2/6
Factor -5*n**2 + 26510*n - 35139005.
-5*(n - 2651)**2
Factor -5*t**3 - 750*t**2 - 28125*t.
-5*t*(t + 75)**2
Determine a so that a**4/2 - 292*a**3 + 42632*a**2 = 0.
0, 292
Suppose -100*w**5/3 - 120*w**4 + 164*w**3 + 3232*w**2/3 + 1168*w + 192... | {
"pile_set_name": "DM Mathematics"
} |
28 = -169*l + 373*l for l.
7
Solve 0 = -313*p - 243 - 696 for p.
-3
Solve 7587 + 1181 = 274*n for n.
32
Solve 414 = -130*o - 180 - 1096 for o.
-13
Solve -6367 + 6223 = -18*q for q.
8
Solve 1129 + 1831 = -103*d + 76 for d.
-28
Solve 23 = -20*x - 30 - 27 for x.
-4
Solve 142*g = 10*g + 396 for g.
3
Solve -46*u + 254 + 120... | {
"pile_set_name": "DM Mathematics"
} |
ob of picking 2 h when two letters picked without replacement from uuuuhuhuu.
1/36
Two letters picked without replacement from ddd. What is prob of picking 2 d?
1
Four letters picked without replacement from {e: 15, c: 4}. Give prob of picking 2 e and 2 c.
105/646
Four letters picked without replacement from {e: 2, a: ... | {
"pile_set_name": "DM Mathematics"
} |
xpress -6*u - u**2 + 4*u - u + (3*u - 3*u - u)*(2*u - 5*u + 0*u) as d*u**2 + w + o*u and give o.
-3
Rearrange (b - 2*b + 0*b)*(4*b + b - 3*b) + 2*b**2 - 2*b**2 - 2*b**2 + 3 - b**2 - 3 - 130*b**2 + 21*b - 21*b to the form m + c*b**2 + o*b and give c.
-135
Rearrange -462*t**3 + t + 462*t**3 - t**2 - 4*t**4 to m*t + z*t**... | {
"pile_set_name": "DM Mathematics"
} |
78 = 0. Solve 0 = 26*j - i + 60 for j.
-1
Let q = 105 - 175. Let a be -56*(-1)/(16/20). Let g = a + q. Solve 15 = -g*x + 5*x for x.
3
Let j be (-20)/(-2*((-9)/6)/(84/(-8))). Solve -j = -61*l + 71*l for l.
-7
Suppose 2*j + 5*i = -240 + 1030, -2*i + 12 = 0. Solve 0 = 43*l - 119*l - j for l.
-5
Let o = 1563 - 1561. Solve ... | {
"pile_set_name": "DM Mathematics"
} |
- 1
Let p(u) = 10*u - 1. Let y(j) = 12*j - 1. Give -6*p(i) + 4*y(i).
-12*i + 2
Let g(a) = -5 - 3*a**2 + 0*a**2 - 6 - 8*a**2. Let s(n) = n**2 + 18*n. Let l(y) = 18*y - 1. Let d(z) = -2*l(z) + 2*s(z). What is -34*d(r) - 6*g(r)?
-2*r**2 - 2
Let r(j) = -163*j - 15. Let s(o) = 258*o + 23. Let l(x) = 8*r(x) + 5*s(x). Let z(... | {
"pile_set_name": "DM Mathematics"
} |
6)*m)/m))/m*m)*m*m**0)/(m**1)**(32/3) assuming m is positive.
m**(-2/3)
Simplify (d*d/((d**21/d)/d*d)*d)**(-49) assuming d is positive.
d**833
Simplify t/t**(-43)*(t/t**(2/61))/t assuming t is positive.
t**(2682/61)
Simplify n*n/(n/(n**(3/8)*n))*n**(-3)*n*n**0*n**(3/5)*n assuming n is positive.
n**(79/40)
Simplify ((i/... | {
"pile_set_name": "DM Mathematics"
} |
?
4
Suppose 4 = 5*x - 1, -15 = 4*f + x. Let t(u) = u**3 + 5*u**2 + 2*u - 1. Suppose 75 = 4*r - r. Calculate the remainder when r is divided by t(f).
4
Let x = -9 + 20. Calculate the remainder when 19 is divided by x.
8
Let z(j) = 4*j**2 + 8*j - 9. Let x be z(-7). Calculate the remainder when 6/(-9) + x/3 is divided by ... | {
"pile_set_name": "DM Mathematics"
} |
)*-10*2/(-4). Let s = g + -39. Let k be (-126)/s + 3 + -1. What is the second biggest value in k, 0.5, 3/5, -3/10?
0.5
Let s = -0.00147 + 0.00147. What is the third biggest value in s, -0.4, -0.001, 13?
-0.001
Let z = -5 - -3. Let v = -23 - -45/2. Let f be 4/10*((-835)/(-90) + -9). Which is the smallest value? (a) z ... | {
"pile_set_name": "DM Mathematics"
} |
= 4*f, -293062 = 4*n + 2*f - 293118 for n.
5
Solve -114599 = -y - 114600, f + 5*y + 16 = 0 for f.
-11
Solve 24*l - u = 23*l - 6, 5*u - 2*u - 20 = 2*l - 0*u for l.
2
Solve -4*b + 22 = s, 2*b - 6*s - 16509 = -16511 for b.
5
Solve 13*h + 11*k = 9*h - 9, 5*h = -k - 38 + 14 for h.
-5
Solve -588*w + 10 = -2*l - 586*w, -4*w +... | {
"pile_set_name": "DM Mathematics"
} |
ve n = 2*q + 4*c + 20, -2*q = -2*c - c - 15 for q.
0
Let m = 23 - 16. Let p(k) be the first derivative of -k**3/3 + 7*k**2/2 + 6*k - 1. Let v be p(m). Solve 4*h - 3*b - 3 = -7, h - v = -b for h.
2
Let f be (-2)/(2 + 15/(-6)). Let n = -6 + 9. Solve 0 = 2*l + w - 6, 17 + 5 = f*l - n*w for l.
4
Let x be (-1 + -3)*(1 + 13)... | {
"pile_set_name": "DM Mathematics"
} |
28) + -30 + 23?
-18
Calculate -13 + 22 + -26 - -19.
2
2 + 1 - (13 - (2 - -11))
3
Calculate -15 - (-7 - (10 - (-7 + 13))).
-4
What is 1 + (2 - -8) - -4 - (-2 + -5)?
22
What is 4 + -2 + 10 + -17 - (15 + 0)?
-20
21 + (9 - (5 - (-15 - -7)))
17
What is the value of -8 + 4 + 3 - -1?
0
Evaluate (2 - (-3 - (-2 - (-5 - 0)))) +... | {
"pile_set_name": "DM Mathematics"
} |
5000068 + -42655939187. Let g = f - 25058.96. Let d = 0.54 - g. What is d rounded to six decimal places?
-0.000007
Suppose 28*k - 33*k + 20 = 0. Suppose -4*s - 79399988 = -2*f, 2*f + 2*s = k*s + 79399994. Round f to the nearest one million.
40000000
Let t = -161.3 + 146.56. Let j = 14.73993847 + t. Round j to 5 decimal... | {
"pile_set_name": "DM Mathematics"
} |
(7 - 5) - (3 + -5)
4
0 + (2 - -2) + -1
3
3 - (-1 + (-1 - (-3 + -4)))
-2
What is the value of (-7 - 0 - -12) + -2?
3
-8 + 4 - -4 - (-8 - -3)
5
Evaluate (3 - 1 - 0) + -4 + -2.
-4
What is 5 + -7 + (2 + -2 - 2)?
-4
Calculate (-2 - -2) + -2 - (-6 - -3).
1
Calculate -1 + 2 + -7 - (209 - 211).
-4
Evaluate (-4 - -2) + 4 - 4.
... | {
"pile_set_name": "DM Mathematics"
} |
hich is the nearest to -3? (a) -2/5 (b) 2 (c) t
a
Let q = 76 - 82.8. Let o = q - -3.8. What is the closest to -1 in 5, -0.08, o?
-0.08
Suppose 0*h - 4 = j - h, 2*j = -3*h + 2. Let o be 10 + (-38)/10 - 7. What is the closest to -2/5 in -5, j, o?
o
Let q = 2020 - 18170/9. Which is the nearest to -7? (a) 2/5 (b) q (... | {
"pile_set_name": "DM Mathematics"
} |
-21*q**2
Let k(c) = c**2. Let d be ((-5)/70*12)/((-1)/7). Let j(y) = -14*y + 6. Let w(x) = 28*x - 13. Let a(b) = d*w(b) + 13*j(b). Calculate a(k(h)).
-14*h**2
Let b(r) = 4*r. Let t(l) = -3*l**2 + 20*l - 105. Let a(u) = -2*u**2 + 12*u - 53. Let d(f) = -5*a(f) + 3*t(f). Determine d(b(y)).
16*y**2 - 50
Let c(o) = 266*o**2... | {
"pile_set_name": "DM Mathematics"
} |
0 - n. Let a be (-3 - 0)*y/3. Is -2 less than a?
False
Let y = 18 - 11. Let p = -9 + y. Which is smaller: p or -1?
p
Let d = 1949/3 - 649. Let a = 11 - 5. Let j = -3 + a. Which is greater: j or d?
j
Let o be (-2 + 5/3)*(-153)/(-3). Which is greater: o or -19?
o
Let r(s) = s**3 + 6*s**2 - 7*s + 9. Let m be r(-7). Let w... | {
"pile_set_name": "DM Mathematics"
} |
by 75629562.
-1/12604927
What is 9738 divided by -1203?
-3246/401
Divide -31 by 691621.
-31/691621
Calculate 147 divided by 159240.
49/53080
What is -446674866 divided by 223337433?
-2
What is -605168256 divided by -18568?
32592
151466936 divided by 75733468
2
Calculate 24 divided by -4858334.
-12/2429167
Divide 12958 ... | {
"pile_set_name": "DM Mathematics"
} |
) = -5*m(s) + 6*w(s). Calculate f(0).
-6
Suppose 0 = -3*a + 2*a + 2. Let y(z) = 2*z - 1. Give y(a).
3
Let b(d) = -2*d + 1. Let m(f) = f - 1. Let o(c) = 7*c - 6. Let a(l) = 6*m(l) - o(l). Let r(g) = 5*a(g) - b(g). Calculate r(-1).
2
Let h(o) be the third derivative of -o**6/120 + o**5/20 - o**4/8 + o**3/2 + 12*o**2. Let... | {
"pile_set_name": "DM Mathematics"
} |
845.
5, 709, 14741
What are the prime factors of 128641546?
2, 11, 79, 74017
List the prime factors of 21922481.
7, 107, 29269
List the prime factors of 105916184.
2, 11, 19, 63347
List the prime factors of 341316498.
2, 3, 79, 563, 1279
List the prime factors of 309380219.
41, 2621, 2879
List the prime factors of 2570... | {
"pile_set_name": "DM Mathematics"
} |
smallest common multiple of 4182 and 88?
184008
What is the lowest common multiple of 88 and 56?
616
Find the common denominator of -53/76 and -17/95.
380
Find the common denominator of -23/210 and -30.
210
Calculate the lowest common multiple of 490 and 18.
4410
Find the common denominator of 69/16 and 101/256.
256
Ca... | {
"pile_set_name": "DM Mathematics"
} |
- (-17)/3. Suppose u*l - 176 = 2*l. Let t = -29 + l. What is the tens digit of t?
1
Suppose 11*z + 15 = 14*z. Suppose -z*b + 225 = -220. What is the units digit of b?
9
Suppose -1072 = -23*y + 15*y. Let v = -19 + y. What is the hundreds digit of v?
1
Let w(o) = 5*o**3 - 2*o**2 - 11*o + 11. What is the units digit of w... | {
"pile_set_name": "DM Mathematics"
} |
388?
-10*p**2 - 4*p - 4
What is the y'th term of -201, -402, -603, -804?
-201*y
What is the n'th term of 1039, 1043, 1047, 1051, 1055, 1059?
4*n + 1035
What is the l'th term of 9946, 9944, 9942, 9940, 9938, 9936?
-2*l + 9948
What is the o'th term of -30, -126, -286, -510?
-32*o**2 + 2
What is the v'th term of 7, 34, 89... | {
"pile_set_name": "DM Mathematics"
} |
14397*j for j.
-109
Solve -1591 = -185*v + 7659 for v.
50
Solve 52842 = 6155*h - 3290 - 30038 for h.
14
Solve -6886461*b = -6886475*b + 784 for b.
56
Solve 749454*r = 749304*r - 1350 for r.
-9
Solve 682 + 1457 = 130*c - 1186 + 335 for c.
23
Solve 1835 = 2090*j - 3048*j - 90133 for j.
-96
Solve 119362*w - 119431*w = -3... | {
"pile_set_name": "DM Mathematics"
} |
8. Let l(o) = -2*o + 2. Let c(h) = -b(h) + 4*l(h). Let r be c(-8). Which is smaller: 103 or r?
103
Suppose 0 = -3*r - 0*r - 5*c + 12, 0 = 2*c. Suppose -i + r = 0, -5*i + 200 = 2*x - 0*i. Is 90 at least x?
True
Let z = 236.52 - 0.52. Let j = -236.72 + z. Is j bigger than 3?
False
Let u be 748/(-14) + (-292)/511. Let z(l... | {
"pile_set_name": "DM Mathematics"
} |
m of -611, -1238, -1875, -2528, -3203, -3906?
-f**3 + f**2 - 623*f + 12
What is the i'th term of 266, 348, 430?
82*i + 184
What is the w'th term of -20, -59, -178, -419, -824, -1435?
-7*w**3 + 2*w**2 + 4*w - 19
What is the k'th term of -495591, -991184, -1486777, -1982370?
-495593*k + 2
What is the a'th term of -2713, ... | {
"pile_set_name": "DM Mathematics"
} |
*b + 6*y = y, 4*b - 5*y - 45 = l for b.
5
Suppose 2*y - 1 - 5 = q, 0 = -2*y - 5*q + 30. Let k = -2 + y. Solve -f = 2*h - 7, 5*h + 0*f = k*f + 23 for h.
4
Let i(t) = -t + 10. Let b be i(8). Solve -8 = 3*d + 5*q, d = b*d - 2*q - 1 for d.
-1
Let s be (-76)/(-18) - (-2 + 20/9). Solve -5*l - s*y + 9 + 32 = 0, 2*l - 6 = y fo... | {
"pile_set_name": "DM Mathematics"
} |
of -780512*o**3 - 243262*o wrt o.
-4683072*o
What is the second derivative of -2207*s**5 - 12*s**2 + 297266*s wrt s?
-44140*s**3 - 24
What is the third derivative of -3480323*s**2*z**3 - 898*s**2*z + 5*s**2 + 9*s*z**2 - z wrt z?
-20881938*s**2
Differentiate -142*m**2*x - 3*m*x**2 - 2*m*x + 143741*x**2 wrt m.
-284*m*x ... | {
"pile_set_name": "DM Mathematics"
} |
5
b
Let o = 2.5 + -0.5. Let i be (-1)/(-18) - (-1)/6. Which is the nearest to i? (a) 0 (b) 4 (c) o
a
Let d = 0.044 - 0.344. What is the closest to 2/3 in -3/11, d, -0.2?
-0.2
Let g = -37 + 111. Let l = 74.53 - g. Let t = -0.03 + l. Which is the closest to 2/3? (a) -5 (b) -2/13 (c) t
c
Let r = -71 - -70. Which is ... | {
"pile_set_name": "DM Mathematics"
} |
k**(3/5)) assuming k is positive.
k**(298/5)
Simplify (a/(a**(4/9)/a)*a*a/a**3*a*a)/(a**8/(a**(-3/2)/a)) assuming a is positive.
a**(-143/18)
Simplify (s**(-18)/s)**(4/7) assuming s is positive.
s**(-76/7)
Simplify p**(-4/9)*p**12 assuming p is positive.
p**(104/9)
Simplify q**(-2/53)*q*q/(q*q/(q*q*q*q**1*q*q)*q) assum... | {
"pile_set_name": "DM Mathematics"
} |
= q - j. Is s composite?
False
Let c(a) = a**3 - 2*a + 1. Let q be c(1). Let z = q + 2. Is (-2440)/(-15) - z/(-6) prime?
True
Suppose 0 = -3*d + 327 + 16269. Let l = d + -2927. Is l prime?
False
Let v(c) = -c**3 + 14*c**2 - 13*c - 4. Let r be v(13). Let j be 9/36 - 19/r. Suppose -495 = -j*n + 1040. Is n prime?
True
Let... | {
"pile_set_name": "DM Mathematics"
} |
prime factors of v(a)?
3
Let z(w) = w + 17. Let n(a) = a + 0*a - 7*a**2 - a**2. Let k be n(1). List the prime factors of z(k).
2, 5
Let p(f) = -f**3 - 3*f**2 + 5*f. Let m be p(-5). Let b = m - 18. List the prime factors of b.
7
Let n(k) = -3*k + 4*k**2 + 0*k**3 - 2*k**3 + k**3. Let z be n(2). Suppose g - 4*s = 4*g - 16... | {
"pile_set_name": "DM Mathematics"
} |
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