text stringlengths 2.35k 7.98k | meta dict |
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derivative of v(y) wrt y?
-66*y
Let r(u) be the third derivative of u**8/56 - u**5/12 - 5*u**2. Find the third derivative of r(d) wrt d.
360*d**2
Let b(h) = 2*h**2 + 43*h + 88. Let z(f) = f**2 + 22*f + 44. Let p(s) = -3*b(s) + 5*z(s). Differentiate p(u) wrt u.
-2*u - 19
Find the second derivative of -10*c**2 - 12*c + ... | {
"pile_set_name": "DM Mathematics"
} |
y**4 + 496566*y**2 - 31*y - 1 wrt y.
-8128925184*y
What is the derivative of 7116415*k*o**2 + 16062618*o**2 - 2*o - 1 wrt k?
7116415*o**2
What is the first derivative of 17807*a*o + 53*a + 23*o + 120914 wrt o?
17807*a + 23
Find the third derivative of -156913*h**4 - 17*h**3 + 50593352*h**2.
-3765912*h - 102
Differentia... | {
"pile_set_name": "DM Mathematics"
} |
2}?
3/182
What is prob of picking 1 c and 2 k when three letters picked without replacement from {e: 3, c: 1, i: 1, a: 1, f: 2, k: 4}?
3/110
Calculate prob of picking 1 f, 2 v, and 1 z when four letters picked without replacement from {i: 1, f: 3, v: 4, p: 4, z: 4, k: 1}.
18/595
Calculate prob of picking 2 g when two ... | {
"pile_set_name": "DM Mathematics"
} |
s the second derivative of 104850694*n**5 - 394*n + 108963?
2097013880*n**3
Find the third derivative of 488388389*h**3 - 1229*h**2 + h + 37262.
2930330334
What is the second derivative of 111325*p**5 - 222*p**2 - 9*p - 14245841 wrt p?
2226500*p**3 - 444
Find the second derivative of 29435594*h**5 - 3096*h - 1478 wrt h... | {
"pile_set_name": "DM Mathematics"
} |
ithout replacement from weahzpa. What is prob of sequence apa?
1/105
Calculate prob of sequence oz when two letters picked without replacement from {o: 12, z: 1}.
1/13
Calculate prob of sequence rr when two letters picked without replacement from {r: 7, s: 2, c: 9, k: 1}.
7/57
Two letters picked without replacement fro... | {
"pile_set_name": "DM Mathematics"
} |
) = -4*k**2 - 2*k - 2*k + 4*k. Let s(c) be the second derivative of -1/12*c**4 + 0 + 0*c**3 - 17*c + 0*c**2. Give s(p(x)).
-16*x**4
Let c(q) = -1375*q - 34*q - 78*q. Let l(u) = 2*u. Calculate c(l(v)).
-2974*v
Let l(u) = u**2 + u + 1. Let n(w) = 5*w + 0*w - 6 + 3*w - 14*w. Let q(g) = -6*l(g) - n(g). Let i(c) = c**2. Cal... | {
"pile_set_name": "DM Mathematics"
} |
8.
43730
72 (base 8) to base 14
42
What is -12521 (base 6) in base 7?
-5413
872 (base 11) to base 4
100113
-11712 (base 8) to base 16
-13ca
20000 (base 3) to base 6
430
What is -2322 (base 5) in base 3?
-110111
What is 2304 (base 5) in base 13?
1c4
What is -500e (base 16) in base 5?
-1123434
-313 (base 9) to base 4
-33... | {
"pile_set_name": "DM Mathematics"
} |
8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number?
True
Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number?
True
Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite numbe... | {
"pile_set_name": "DM Mathematics"
} |
*p**2 + 3*p + 39. Calculate the remainder when m(c) is divided by 7.
4
Let r(o) = 14*o - 177. Calculate the remainder when r(16) is divided by 12.
11
Calculate the remainder when (6/24)/(1/104) is divided by 21.
5
Suppose 9*v + 10 = 4*v. Let t(n) be the second derivative of n**4/3 - 5*n**3/6 - n**2 + 2*n. What is the r... | {
"pile_set_name": "DM Mathematics"
} |
93
What comes next: -76882, -153768, -230654, -307540, -384426, -461312?
-538198
What is next in -13, -66, -153, -274, -429?
-618
What is the next term in -641, -934, -1227, -1520?
-1813
What is the next term in -338, -558, -1154, -2312, -4218, -7058, -11018?
-16284
What is the next term in 173, 261, 267, 191, 33, -207... | {
"pile_set_name": "DM Mathematics"
} |
g'th term of 1000, 1024, 1086, 1204, 1396?
3*g**3 + g**2 + 996
What is the w'th term of -46, -158, -346, -610?
-38*w**2 + 2*w - 10
What is the f'th term of 199, 814, 1839, 3274, 5119, 7374, 10039?
205*f**2 - 6
What is the a'th term of -206, -428, -650?
-222*a + 16
What is the q'th term of -326, -318, -308, -296?
q**2 ... | {
"pile_set_name": "DM Mathematics"
} |
**2. Let t be m(8). Is (81 - t) + (-1 - 1) composite?
False
Let j(z) = -z**3 - 8*z**2 - 9*z + 7. Suppose 2*m + 0*r = -5*r - 9, 3*r = 3. Is j(m) prime?
False
Let k(b) = 6*b**2 - 51*b + 34. Is k(-23) a composite number?
True
Let v(t) = t - 1. Let q be v(6). Suppose 3*a - d + 6*d - 72 = 0, 0 = -5*a + q*d + 80. Is a a comp... | {
"pile_set_name": "DM Mathematics"
} |
, x: 4, t: 1}. Give prob of sequence qx.
2/33
Four letters picked without replacement from {y: 1, u: 2, k: 1, n: 2, l: 1}. Give prob of sequence knku.
0
What is prob of sequence zx when two letters picked without replacement from {c: 2, x: 1, z: 1}?
1/12
What is prob of sequence axxw when four letters picked without re... | {
"pile_set_name": "DM Mathematics"
} |
(9/(-20)). Is d <= -3?
False
Let x(n) = -2*n + 1. Let t be x(-2). Suppose -d - 4*v = t, -v - 6 = d + 4*v. Let b = d + 2. Are 0.03 and b non-equal?
True
Let a = 47/84 - -4/21. Let l = 32 - 31. Is a greater than or equal to l?
False
Let x = -11.5 - 36.5. Let b = x - -49.9. Let w = -2 + b. Which is smaller: -0.4 or w?
-0.... | {
"pile_set_name": "DM Mathematics"
} |
v a multiple of 24?
True
Let h = 68 - -4. Let d = h + -2. Is 5 a factor of d?
True
Let p(d) = -2*d**2 - 3*d + 2. Let h be p(0). Suppose -h*a = -7*a + 285. Is a a multiple of 4?
False
Let p(f) = -2*f + 10*f**2 + f**3 + 9*f - 19*f - 11. Is p(-10) a multiple of 24?
False
Let o = 58 - 4. Suppose -57*w + 540 = -o*w. Does 1... | {
"pile_set_name": "DM Mathematics"
} |
. Give 7*o(y) + 2*w(y).
y**3 - y
Suppose 5*r - 3*y + 27 = 0, 2*r + 4*y + 9 = 7*y. Let o(w) = 4*w**3 + w - 3. Let m(q) = 3*q**3 - 2. Calculate r*m(t) + 4*o(t).
-2*t**3 + 4*t
Let o(g) = 2*g**2 + g + 2. Suppose -1 = -2*x + 1. Let p = x - -1. Let z(m) = -1 + 0*m**p + m**2 - 2*m**2. Give 2*o(u) + 6*z(u).
-2*u**2 + 2*u - 2
L... | {
"pile_set_name": "DM Mathematics"
} |
(h) = -3*h**2 + 15*h + 6. Let w(f) = 3*g(f) - 2*l(f). What are the prime factors of w(17)?
2, 3
Let c = 4 - -8. Suppose 0 = f - 16 - c. Let g = 39 - f. What are the prime factors of g?
11
Let l(z) = z**3 - 11*z**2 - z + 13. Let u be l(11). Let g be 1 + -1 + (40 - u). Suppose 8 = 4*j, 4*f + j = -0*j + g. What are the pr... | {
"pile_set_name": "DM Mathematics"
} |
the common denominator of 69/3016 and 51/1856.
24128
Calculate the lowest common multiple of 12 and 3052.
9156
Calculate the lowest common multiple of 22528 and 16.
22528
What is the least common multiple of 1719 and 6876?
6876
Calculate the least common multiple of 75 and 296175.
296175
What is the smallest common mu... | {
"pile_set_name": "DM Mathematics"
} |
11/3 = 0?
-1/14, 22
Factor 4*g**3/5 - 1188*g**2/5 + 89964*g/5 - 259308/5.
4*(g - 147)**2*(g - 3)/5
Factor -2*s**3 - 1164*s**2 + 2334*s - 1168.
-2*(s - 1)**2*(s + 584)
Let 4*s**4 + 408*s**3 + 804*s**2 + 400*s = 0. What is s?
-100, -1, 0
Factor -2*b**2/3 - 88*b/3 + 30.
-2*(b - 1)*(b + 45)/3
Factor 2*q**5/13 - 270*q**3/13... | {
"pile_set_name": "DM Mathematics"
} |
d(4). Which is the nearest to p? (a) v (b) -2 (c) j
c
Let w = -10 - -10.2. Let s = w + -10.2. Let l = s - -10.2. Which is the nearest to 2/9? (a) l (b) -4 (c) -1
a
Let h = -3 + 4. Let q be 3 + (-9)/6*2. Which is the nearest to q? (a) h (b) -5/4 (c) 4/3
a
Let w = -1.1 + 5.1. Let j = -13.93 - -14. Let f = -0.13... | {
"pile_set_name": "DM Mathematics"
} |
j - 8)*(2*j**3 + 3 - 3) to the form b*j**3 + r*j**4 + c + o*j**2 + g*j and give r.
2048
Rearrange -12363*s**2 + 3*s**3 - 118 + 12363*s**2 + 2*s - 2*s to the form t*s**3 + n*s + c*s**2 + k and give t.
3
Rearrange -100*h - 49 + 53*h + 46 - h**4 + 47*h - 84*h**2 to the form y*h**4 + m*h**2 + o*h**3 + k*h + a and give y.
-... | {
"pile_set_name": "DM Mathematics"
} |
nd t?
17
Let g be (-4)/2 - 1*10. Let u be (1*9)/(g/(-72)). Calculate the highest common divisor of 6 and u.
6
Let f be ((-34)/8)/(55/(-440)). Calculate the greatest common divisor of f and 374.
34
Suppose v + 5*i = 3*i - 272, v = -3*i - 271. Let p be 36/(-306) - v/17. What is the highest common divisor of 40 and p?
8
S... | {
"pile_set_name": "DM Mathematics"
} |
est integer.
1
What is 42651.53 rounded to the nearest ten?
42650
Round -4312.526 to the nearest 10.
-4310
What is 11090.62 rounded to the nearest 100?
11100
Round 5442810 to the nearest ten thousand.
5440000
What is -0.0000039673956 rounded to 7 dps?
-0.000004
What is -0.00412741 rounded to 3 dps?
-0.004
What is -0.01... | {
"pile_set_name": "DM Mathematics"
} |
m upbuuptuuktuububbtbp. Give prob of picking 1 p and 2 t.
3/380
Two letters picked without replacement from {t: 3, k: 1, q: 1, y: 1, a: 1, o: 6}. What is prob of picking 1 k and 1 t?
1/26
Four letters picked without replacement from lrxbbrrrrblrxbrrl. Give prob of picking 1 b and 3 l.
1/595
What is prob of picking 1 e ... | {
"pile_set_name": "DM Mathematics"
} |
ppose 53*b - 57*b + 2*u + 620 = 0, -b = -2*u - 161. What is the remainder when 747 is divided by b?
135
Let c = -248 - -422. What is the remainder when (1 - (-4)/(-6))/(2/c) is divided by -1 + 7 + 2/1?
5
Suppose 0 = 146*o - 1549 - 2023 - 516. What is the remainder when 189 is divided by o?
21
Let f = 969 + -846. Calcul... | {
"pile_set_name": "DM Mathematics"
} |
square root of 196 to the nearest integer?
14
What is 51473 to the power of 1/2, to the nearest integer?
227
What is the ninth root of 202 to the nearest integer?
2
What is 75767 to the power of 1/2, to the nearest integer?
275
What is the square root of 22796 to the nearest integer?
151
What is the cube root of 4480 ... | {
"pile_set_name": "DM Mathematics"
} |
1, 2
Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n.
-4*f*(f - 1)**3*(f + 1)
Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4.
2*n*(n - 1)**3*(n + 2)/3
Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y*... | {
"pile_set_name": "DM Mathematics"
} |
test common factor of i and j?
27
Let h = 15 + -41. Let y be (-273)/h*(-2)/(-3). Calculate the greatest common divisor of y and 77.
7
Suppose 1236 = -2*z + 4*x, -x - 1845 = 3*z + 2*x. Let r be z/(-63) + (-6)/(-27). What is the greatest common divisor of r and 90?
10
Let f(d) = d**2 + 12*d - 18. Let k be f(-14). What is... | {
"pile_set_name": "DM Mathematics"
} |
arest to -2/7? (a) -0.1 (b) z (c) -0.2
c
Suppose -5*m = 0, -2*u - 2*u + 2*m = 0. Let i = -2 + 2. Let q = 1.8 - -0.2. Which is the nearest to i? (a) q (b) 0.2 (c) u
c
Let y = 10 - 10. Let c(r) = r**2 - 4*r + 4. Let n be c(3). Let g be 2/(2 + 16/(-10)). What is the nearest to y in n, g, -0.3?
-0.3
Let w = 10.89 + -... | {
"pile_set_name": "DM Mathematics"
} |
138, -h - 4 = 7*j for j.
0
Solve -4*a = 2*h + 10, -100*a + 97*a - 8 = 2*h for h.
-1
Solve 0 = -3*y - n + 3, 2*y - 2*n + 3*n + 9*n = -26 for y.
2
Solve -x + 345 = b + 339, -3*x - 2*b + 14 = 0 for x.
2
Solve 3700*t + 4*i - 32 = 3699*t, -4*i = -28 for t.
4
Solve -1062*q + 1059*q + 2*p - 7 = 0, -p - 16 = 5*q for q.
-3
Solv... | {
"pile_set_name": "DM Mathematics"
} |
the units digit of s?
8
Let o = 247 - 140. What is the hundreds digit of o?
1
Suppose -m - 560 = -5*q - 6*m, -4*q = -4*m - 472. What is the units digit of q?
5
Suppose 7*g = 4*g + s + 14, -2*g + 3*s = -14. Let t(j) = j - 2. What is the units digit of t(g)?
2
Suppose -6 - 394 = -4*z. What is the tens digit of z?
0
Let ... | {
"pile_set_name": "DM Mathematics"
} |
ssuming d is positive.
d**(252/17)
Simplify ((s*(s**(-8)*s*s)/s*s)/(s*s*s**(1/5)*s))**(17/5) assuming s is positive.
s**(-697/25)
Simplify ((q/q**(-1))**(-22)*(q*q/(q/(q/(q*q/(q*q**1/q)*q)*q)))/q**(-3))**(-44) assuming q is positive.
q**1760
Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive... | {
"pile_set_name": "DM Mathematics"
} |
).
6592*o**2 - 3
Suppose 2*z - 6 + 2 = 0. Let c(s) = z*s + 5*s - 13*s + 5*s. Let n(k) be the third derivative of -k**5/3 - 3*k**2. Give c(n(f)).
20*f**2
Let p(k) = 2*k**2. Let u(n) = 14979665*n**2. Calculate p(u(v)).
448780727024450*v**4
Let i(b) = 25380*b**2 + 5922*b + 658. Let f(t) = -193*t**2 - 45*t - 5. Let x(p) = ... | {
"pile_set_name": "DM Mathematics"
} |
) 0.4 (c) -2/7 (d) 1/4
a
Suppose -3 = m + 2*v, 5*m + 25 = 2*m - 2*v. Let p = 2.41 + -2.11. Which is the closest to p? (a) m (b) 1 (c) -2/3 (d) 3
b
Suppose -19*y + 17*y = 508. Let d be (2/12*-1)/((-1)/y). Let z = d - -42. Which is the closest to z? (a) -0.4 (b) 11/5 (c) -5
a
Let n = -3611/2410 - 2/1205. What is... | {
"pile_set_name": "DM Mathematics"
} |
-28307.2 - -28307. Let l = 0.2 + -0.3. What is the third smallest value in 0.3, 0.9, u, l?
0.3
Let s = -4744 - -4745.2. Let m = 0.54 - 0.04. Which is the second biggest value? (a) m (b) s (c) -0.1 (d) -4
a
Let u = 57.812 - 58.212. Let w be 6 - 0 - (-2)/(-2). Let l be (-10)/6*2/w. What is the fourth biggest value i... | {
"pile_set_name": "DM Mathematics"
} |
2288160*f**3
What is the third derivative of 2727*y**5 - 18*y**4 + 3*y**3 - 4559802*y**2?
163620*y**2 - 432*y + 18
What is the third derivative of -c**6*p + 2*c**3*p**2 - 3806*c**3 - 2*c**2*p**2 + c**2*p - 12*c**2 - 1026*c*p**2 - 9*p**2 wrt c?
-120*c**3*p + 12*p**2 - 22836
What is the second derivative of 9*m**4 + 26*m... | {
"pile_set_name": "DM Mathematics"
} |
increasing order.
-53, -6, -4/3
Put -1/2, 5, -0.06, 48/7, -5 in descending order.
48/7, 5, -0.06, -1/2, -5
Sort -569, 1/4, 1.
-569, 1/4, 1
Sort -264, -5, -3, -1, -4 in descending order.
-1, -3, -4, -5, -264
Sort -7, 4, -2.
-7, -2, 4
Put 4, -6, -5, 0, 12 in ascending order.
-6, -5, 0, 4, 12
Put 2, -43, -10, -4, 1 in in... | {
"pile_set_name": "DM Mathematics"
} |
creasing order.
-4, r, 0.1, 1/5
Let l = 9 + 64. Let w = l + -76. Sort -20, w, 1/2.
-20, w, 1/2
Suppose 8*v + 24 = 4*v. Let u be (3 - 1)*v/20. Suppose -4*f + 4 = -0*f. Put f, 0.2, u in increasing order.
u, 0.2, f
Suppose 0 = -p + 2, 4*h + 64 = -5*p + 3*p. Let s = -14 - h. Put 5, 1, s in descending order.
5, s, 1
Let r =... | {
"pile_set_name": "DM Mathematics"
} |
h is the biggest value? (a) -1 (b) -17.3 (c) 0.3
c
What is the smallest value in 1/5, 0.05, 76, -0.1, -1?
-1
What is the biggest value in -81, -0.1, 4?
4
What is the fourth smallest value in 0, -7, -87, 2/11?
2/11
Which is the third biggest value? (a) 0.5 (b) 1 (c) -0.08
c
Which is the fourth biggest value? (a) ... | {
"pile_set_name": "DM Mathematics"
} |
n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0.
-1, 43
Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c).
-2*(c - 144)*(5*c + 2)
Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j... | {
"pile_set_name": "DM Mathematics"
} |
e -8*u = -u + 483. Let s = u + -12. Let o = -66 - s. Solve 0*m + o = -5*m for m.
-3
Let w(j) = 94 - 41*j**2 + 12*j**2 + 5*j - 90. Let o be w(-1). Let r = o - -33. Solve 5 = -2*z - r*z for z.
-1
Let t be 102/30 - (2 - 24/15). Let i(l) = 3*l + 2*l - 5 - t*l**2 - 2*l**2 + l**2 + 2*l**3. Let g be i(2). Solve -4 = -g*x + x ... | {
"pile_set_name": "DM Mathematics"
} |
- 2*n**3 - 2*n**4 - 5*n**2 + 6*n**2 to the form h + p*n + g*n**2 + m*n**3 + s*n**4 and give p.
2
Rearrange -154*i**4 + 2*i**2 + i**3 + 156*i**4 + 4 + 0*i**3 to the form r*i**2 + w + q*i + h*i**4 + u*i**3 and give r.
2
Express (1 - 1 - 2*z)*(2 + 1 - 2)*(5 - 4 - 2) - z - 3*z + z in the form n + i*z and give i.
-1
Expres... | {
"pile_set_name": "DM Mathematics"
} |
- 76*i*x**3 + 13*i*x**2 - x**3 - 5*x**2 wrt i.
-312*i**2*x + 724*x**3
Find the second derivative of 39*h**4 + 9*h**3 - 11*h**2 - 47024*h.
468*h**2 + 54*h - 22
Differentiate 160*d*l**2 - 5503*d*l + 715257*d wrt l.
320*d*l - 5503*d
What is the third derivative of -889516*w**3 + 96*w**2 - 4652?
-5337096
Differentiate 2*c... | {
"pile_set_name": "DM Mathematics"
} |
*p + 12. Solve -t - 1 = -w for t.
2
Let q be 148/12 - (-1)/(-3). Let z = q + -7. Solve 0 = -z*b - 0*b for b.
0
Suppose -6 = -5*r + v, 1 = -4*r - 6*v + v. Suppose a + 2 = -4*b, 0*a - 5*a - 5*b + 20 = 0. Solve r = y + a for y.
-5
Let f be (-1 + 1)/(0 - 1). Suppose f = -a - a. Solve 0 = w - 5 - a for w.
5
Suppose 0 = -3*n... | {
"pile_set_name": "DM Mathematics"
} |
s digit of a?
8
Let x(c) = c**2 + 34*c + 206. What is the units digit of x(-29)?
1
Let f be (2536/16)/(2/4). Suppose 5*a - 315 = -5*v, -4*a = -4*v + f - 97. Let q = 37 + v. What is the tens digit of q?
9
Suppose -k - 4 = -x, 20 = 5*x + k - 4*k. What is the hundreds digit of 740/x + 2 - -3?
1
Let y(r) = 32*r**2 + r + 6 ... | {
"pile_set_name": "DM Mathematics"
} |
3
What is the t'th term of 382, 590, 572, 322, -166?
-t**3 - 107*t**2 + 536*t - 46
What is the p'th term of 6746, 51431, 171954, 406235, 792194, 1367751, 2170826, 3239339?
6320*p**3 - p**2 + 448*p - 21
What is the u'th term of -385904, -385946, -385988, -386030, -386072?
-42*u - 385862
What is the f'th term of 5520769,... | {
"pile_set_name": "DM Mathematics"
} |
5
Evaluate ((-18)/30)/((-36)/30)*-8.
-4
What is the value of (((-126)/(-27))/14)/((-1)/3)?
-1
What is (-20)/5*((-12)/2)/12?
2
Calculate (3*(-1)/(-9))/((-2)/18).
-3
Evaluate (6/((-12)/(-5)))/5*10.
5
What is 9/(-14)*20/30?
-3/7
Evaluate 4/(144/20)*12/10.
2/3
What is ((0/7)/5)/(1/1)?
0
What is 95/(-266)*8/10?
-2/7
Calcula... | {
"pile_set_name": "DM Mathematics"
} |
) = 2*u - 9. Let c be w(7). Suppose -h + 2*h + c = 0, -24 = -a + 4*h. What are the prime factors of a?
2
Let s be -3 - -3 - 5*1. Let h be 3/s + (-23)/(-5). Suppose h*i + i = 35. List the prime factors of i.
7
Suppose -u - 3*u = -20. Suppose -4*s - 17 = 5*z - 5, 0 = u*s + 5*z + 10. What are the prime factors of s?
2
Sup... | {
"pile_set_name": "DM Mathematics"
} |
2?
2276
In base 3, what is 10110112 + -2?
10110110
In base 2, what is -101 + 1100010100001?
1100010011100
In base 8, what is 151 - 3?
146
In base 16, what is 18 - -36?
4e
In base 3, what is 110 + 100122?
101002
In base 4, what is 23 - -32?
121
In base 12, what is -37 + 34?
-3
In base 14, what is 2 - -6b?
6d
In base 14,... | {
"pile_set_name": "DM Mathematics"
} |
4:55 PM
How many minutes are there between 4:16 PM and 6:49 PM?
153
How many minutes are there between 10:32 PM and 5:12 AM?
400
How many minutes are there between 3:42 AM and 9:48 AM?
366
What is 588 minutes before 9:17 PM?
11:29 AM
How many minutes are there between 3:41 PM and 6:20 PM?
159
How many minutes are ther... | {
"pile_set_name": "DM Mathematics"
} |
when c is divided by 15.
12
Let d = 1 - -10. What is the remainder when d is divided by 8?
3
Suppose n + 120 = 3*o - 271, 0 = -2*n + 4. What is the remainder when o is divided by 33?
32
Let l be 2/(-10) - 4/(-20). Let m(g) = g + 12. Let f be m(-6). Suppose 4*c + f - 22 = l. Calculate the remainder when c is divided by ... | {
"pile_set_name": "DM Mathematics"
} |
+ a/(-14). Suppose -k*o = 1 - 10. Which is bigger: o or -2/17?
o
Let y(n) = -n**3 - n**2 + 4*n - 1. Let x be y(-3). Suppose -x*u = 2*u. Suppose u = 4*w - 21 - 7. Is 4 less than or equal to w?
True
Let c be (-69)/(-138) - (-1 - (-2 - 447/(-1446))). Which is smaller: 0 or c?
c
Suppose 5*c + s + 730 = 0, 2*c = 10*s - 9*s ... | {
"pile_set_name": "DM Mathematics"
} |
me?
False
Let z = 8 + -15. Is (-256 - z)/(-1 - (1 + -1)) a prime number?
False
Let y(k) = 1821*k**2 + 5*k + 39. Is y(-3) prime?
False
Let q(k) = k**2 - 10*k + 6. Let l be q(11). Let c = 19 - l. Is (c + -2)/(-3) + 177 composite?
True
Is ((-148311)/108)/((-3)/4) prime?
True
Let z(b) be the second derivative of 5*b**4/8 +... | {
"pile_set_name": "DM Mathematics"
} |
- 5*r**2*y + 8*r**2 - 2*r*y**3 - 4037*r*y**2 - 70*r wrt y.
12*r**3*y - 12*r*y - 8074*r
Find the third derivative of 806755*l**3 - 674571*l**2 wrt l.
4840530
What is the second derivative of 227282*f**4 - 544954*f?
2727384*f**2
What is the second derivative of 32150*v**5 + 28915*v wrt v?
643000*v**3
Find the third deriv... | {
"pile_set_name": "DM Mathematics"
} |
p*q + 15 = r, -m = 2*q - r - 3*r for q.
-4
Let h = -75 - -78. Suppose -6*c - 2753 + 2831 = 0. Solve -17 = 5*w - 2*g, 5*w + c - h = -5*g for w.
-3
Let p(c) = -4*c**3 - c - 2. Let t be p(-1). Suppose 4*h = 3*r - 5, h = t*r - 1 - 7. Let i be -3*(-2 - -3) - -3. Solve 2 = z - r, l - z = i for l.
5
Let l = -1 + 4. Suppose -1... | {
"pile_set_name": "DM Mathematics"
} |
he closest to a in f, -9, 5?
f
Let p = 0.1 - -0.9. Let w = 91 + -458/5. Let s = -132.7 - -128.7. Which is the nearest to 1/2? (a) p (b) w (c) s
a
Let g = 8.03314 - 0.03314. Which is the closest to g? (a) 1.2 (b) -1 (c) 4
c
Let i = -10.9 + -3.1. Let w = -63673 + 63673.1. Which is the closest to 0.1? (a) w (b) i ... | {
"pile_set_name": "DM Mathematics"
} |
-100001010000001010110001 (base 2) to base 16.
-8502b1
Convert -276c75 (base 13) to base 15.
-13dbe9
Convert -149e7a (base 15) to base 13.
-28b181
-123212122 (base 4) to base 13
-3c5c2
Convert -2521030 (base 6) to base 14.
-372c2
What is 15135605 (base 7) in base 6?
50452312
What is -100110101100000110 (base 2) in bas... | {
"pile_set_name": "DM Mathematics"
} |
t for q.
-1
Suppose -12 = 2*i + 4*y, -3*i + 2*y = -8*i + 10. Suppose -1593*l + i = -1592*l. Solve -5*k - 13 = l*b, -2*k - 5*b = -0*b + 12 for k.
-1
Let d(a) = a**2 + 8*a + 18. Let o = -62 + 72. Suppose -p - o = p. Let z be d(p). Solve -s - z*s = -5*h - 3, -5*h - 4*s = 27 for h.
-3
Suppose 4*k = -20 + 4. Let h be k*(-10... | {
"pile_set_name": "DM Mathematics"
} |
158887?
False
Which is smaller: -45479 or -45481?
-45481
Which is smaller: -2/48951 or -1/4?
-1/4
Is 322/41 at least as big as 2/19?
True
Which is bigger: -25857 or -51713/2?
-51713/2
Which is greater: 22057 or 352933/16?
352933/16
Is -2873 > -2901?
True
Do -615700 and -615700 have the same value?
True
Which is smaller... | {
"pile_set_name": "DM Mathematics"
} |
+ v - 1. Let y be u(p). Suppose -4*d + 98 = 2*w, -3*d = -3*w - 2*w - y. Does 15 divide d?
False
Let p(j) = 7*j**2 - j + 2. Let x be p(1). Let r be (-1)/(x/(-1950)) - (-3)/12. Let w = 420 - r. Does 22 divide w?
True
Suppose -2730*q - 70268 = -2732*q - 4*b, -5*q - 3*b + 175628 = 0. Is q a multiple of 17?
True
Let p be (3... | {
"pile_set_name": "DM Mathematics"
} |
2*l - 1. Suppose 20 + 4 = -l*i. Let y be m(i). Solve y = 3*c + r + 5 + 2, 4*c = 2*r - 6 for c.
-2
Let d(n) = n**3 + 7*n**2 + 5. Let a be d(-7). Suppose 0*y + 33 = 3*y - 3*f, -2*y + 5*f = -25. Let o = y - a. Solve -o*r + 3*s - 9 = -3*r, 4*r + 8 = -4*s for r.
-3
Let x = 12 - 8. Let s = -16 - -26. Let j = s - 4. Solve -3*... | {
"pile_set_name": "DM Mathematics"
} |
8 + 0 + (23 - 32). Sort -2, g, -5, -26.
-26, -5, -2, g
Suppose 344*b - 277*b = 1072. Put 4, b, -7, -4, 2 in descending order.
b, 4, 2, -4, -7
Suppose -12 = -3*m - 2*j, 5*m - 12 = -41*j + 39*j. Let z be 6/24*76/(-5). Put z, m, -2/17 in descending order.
m, -2/17, z
Let u = 3 - 6.4. Let y = u - -0.4. Let t = 23 + -19. So... | {
"pile_set_name": "DM Mathematics"
} |
f**3 + c**3*f**2 - 2124*c**3*f + 3*c**3 + 2*f + 1 wrt f?
-12064542*c**3
What is the first derivative of -536029*q - 288622 wrt q?
-536029
Find the third derivative of -113632*m**6 - 114088*m**2 wrt m.
-13635840*m**3
Differentiate 5*n**3 + n**2 - 1439*n + 187645 with respect to n.
15*n**2 + 2*n - 1439
Find the third der... | {
"pile_set_name": "DM Mathematics"
} |
*3 and give t.
0
Express (2*x - 4*x - 2*x)*(-29*x**2 + 26*x**2 - 1168*x**3 + 872*x + 1166*x**3) in the form f + m*x**4 + r*x + p*x**3 + b*x**2 and give m.
8
Express -71466*z + 35737*z - 2 + 35729*z + 711*z**2 as a*z**2 + o*z + k and give a.
711
Rearrange -a**2 - 19 - 14*a - 28 + 12 - 9*a + 21*a to the form k*a**2 + m*a... | {
"pile_set_name": "DM Mathematics"
} |
g: 1, a: 2}. What is prob of picking 1 y and 1 l?
16/153
Three letters picked without replacement from uuqeuuquvyuuuuueyuuq. What is prob of picking 2 u and 1 q?
33/190
Three letters picked without replacement from {b: 2, a: 1, l: 1, g: 2}. What is prob of picking 1 b and 2 g?
1/10
Three letters picked without replace... | {
"pile_set_name": "DM Mathematics"
} |
What is the remainder when g(b) is divided by 5?
3
Let u(w) = w**3 + 19*w**2 - 20*w + 2. Let y be u(-20). Suppose -4*z + y*t = -16, 3*t + 5 = -7. Calculate the remainder when z is divided by 1.
0
Let v(q) = -9*q - 12. Let w(m) = 5*m + 6. Let g(f) = -6*v(f) - 11*w(f). Let l be g(4). Suppose z - l = -z. Calculate the re... | {
"pile_set_name": "DM Mathematics"
} |
64
Simplify (-2*(-2 + sqrt(3)*-3) + (sqrt(108)/sqrt(3))/sqrt(12) + -5)**2.
-14*sqrt(3) + 148
Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2).
-1585 + 8*sqrt(5)
Simplify (-5*1*(sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)) - sqrt(133)))/(2*sqrt(77)/(sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
3*t + 36 = -2*f + 96. List the prime factors of t.
2, 11
Suppose -2*q + 4 + 0 = -x, 0 = x - 2. Suppose 0 = 5*m - h - 159, -q*m - 5*h = -0*h - 101. What are the prime factors of m?
2
Suppose 0 = 7*h - 8600 - 640. List the prime factors of h.
2, 3, 5, 11
Let x be -15*4/(-15)*-3. Let t(a) = -a**3 - 12*a**2 - 3*a - 5. Let... | {
"pile_set_name": "DM Mathematics"
} |
rt(468))) + 1)**2.
168*sqrt(13) + 1921
Simplify (6*(sqrt(15) + sqrt(30)/sqrt(2)))/(sqrt(30)/(sqrt(12)/sqrt(2))).
12*sqrt(3)
Simplify sqrt(1008)*4 + -2 - ((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + sqrt(1008))**2) + 0).
36*sqrt(7) + 9070
Simplify (-5 + sqrt(425) + sqrt(17) + sqrt(17) + (-1*sqrt(204))/sqrt(12) - (sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
(l) = -l**3 - 10*l**2 - 2*l. Let p be o(n). What is the highest common factor of 180 and p?
20
Let d = -36 + 48. Let z(y) = -y**2 + 15*y - 13. Let p be z(d). Suppose 462 = 4*l + 3*s - 2*s, -l + 107 = -4*s. What is the highest common factor of l and p?
23
Suppose -9*b + 31 = -14. Suppose b*k + 0*k - 55 = 0. What is the ... | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from {a: 2, s: 4, o: 7}. What is prob of picking 1 a and 2 o?
21/143
Calculate prob of picking 1 b and 1 x when two letters picked without replacement from uxxuwxwwwufbw.
1/26
Two letters picked without replacement from wwwwwwwwowww. Give prob of picking 2 w.
5/6
Two letters picked without replac... | {
"pile_set_name": "DM Mathematics"
} |
Sort 12, -2, -2/5, 2/3 in increasing order.
-2, -2/5, 2/3, 12
Put 92, -3, -5, -14 in descending order.
92, -3, -5, -14
Sort 7, 5, -5, -1.
-5, -1, 5, 7
Sort -28, 1/16, 2 in ascending order.
-28, 1/16, 2
Sort -0.16, 2, 5/12, -3.
-3, -0.16, 5/12, 2
Sort -3, 9, -64, -1.
-64, -3, -1, 9
Sort 0, 12, 5.
0, 5, 12
Put -24/5, -0... | {
"pile_set_name": "DM Mathematics"
} |
-3*u + s - 26 = 0. Is z + 6 + (u - -9) a multiple of 5?
False
Let f(v) = -25*v - 7. Does 21 divide f(-7)?
True
Let u(m) = 11*m**3 - 4*m + 1. Let w(j) = -21*j**3 + 7*j - 2. Let t(h) = 11*u(h) + 6*w(h). Is 6 a factor of t(-1)?
True
Suppose 5 = 5*z, -138 = 4*w + 3*z + 95. Let v = w + 159. Is 11 a factor of v?
False
Let n... | {
"pile_set_name": "DM Mathematics"
} |
)*-5)**2*4.
300
Simplify (sqrt(60)/(sqrt(120)/(sqrt(10) - (sqrt(40)/sqrt(4) - sqrt(10)))))**2.
5
Simplify -2 + (sqrt(11) + -2)*-3.
-3*sqrt(11) + 4
Simplify sqrt(17)*-1 + 5 - (sqrt(68) + sqrt(17) - sqrt(17))*-4.
5 + 7*sqrt(17)
Simplify (((sqrt(156) + (sqrt(156) - -1*sqrt(156)))*-3 - sqrt(156) - sqrt(156)) + sqrt(156) + ... | {
"pile_set_name": "DM Mathematics"
} |
is the units digit of n?
6
Let i = -6 + 0. Let k(n) = n**2 + 4*n - 7. Let d be k(i). Let l = 9 - d. What is the units digit of l?
4
Let a(p) = -p**3 + 4*p**2 + 4*p + 5. Suppose q - 3 = 2. Let f be a(q). Suppose 6 = 3*t - f. What is the units digit of t?
2
Let z = 1219 - 782. What is the hundreds digit of z?
4
Let w = -... | {
"pile_set_name": "DM Mathematics"
} |
2 - 2*x - 20. Let g(v) = -3*c(v) - 5*q(v). Is 5 a factor of g(5)?
True
Does 37 divide 3/(-1*3*(-1)/74)?
True
Suppose 5*a + 10 = 10*a. Suppose a*r = r + 114. Is 19 a factor of r?
True
Is (-3734)/(-18) - 32/72 a multiple of 9?
True
Let h(l) = -4*l**2 - 8*l + 6*l**2 + 8 - 3*l**2 + 2*l**2. Is 8 a factor of h(8)?
True
Does ... | {
"pile_set_name": "DM Mathematics"
} |
j - 7, a = -4*f + 3*j + 13. Calculate the remainder when 18 is divided by f.
2
Let h(n) be the first derivative of n**4/4 - 8*n**3/3 + 4*n**2 - 8*n + 20. Let r be h(7). Let f = 14 - r. What is the remainder when 72 is divided by f?
12
Let z(f) = 5*f**2 - 678*f - 254. Suppose 0*h - 2191 = -4*h - 5*y, -5*h + 2760 = 2*y.... | {
"pile_set_name": "DM Mathematics"
} |
1/2))/h*h)**(10/7) assuming h is positive.
h**(-31/63)
Simplify ((h**(-1/5))**(-4/15)/((h*h**(-13/3))/(h*h*h**(-9))))**(-37) assuming h is positive.
h**(10027/75)
Simplify h**(3/7)/(h*h*h**7)*(h**(-1/2)/h)**(-45)*((h/(h/h**(-2/5)))/h**(-7))/(h**2/((h**(3/8)*h)/h)) assuming h is positive.
h**(17893/280)
Simplify ((i**(-... | {
"pile_set_name": "DM Mathematics"
} |
+ 2 = -2*l. Let t = 5 + l. Solve 0 = -5*v + t*v for v.
0
Let v(g) = -3*g - 6. Let j be v(-4). Solve -j*o = -3*o + 15 for o.
-5
Let i be -2 + 0 - (3 + -1). Let d be i/(-2 + 4/3). Suppose 3 = 5*p - 7. Solve w = -p*w + d for w.
2
Let r be 4/(12/(-15)) + 2. Let f be ((-2)/3)/(2/(-3)). Let a = f - r. Solve 0 = -a*k + 2 + 2 ... | {
"pile_set_name": "DM Mathematics"
} |
e next term in 149, 1247, 4239, 10073, 19697, 34059, 54107, 80789?
115053
What is the next term in -7, -5, -3, -1, 1, 3?
5
What is the next term in -67980, -135960, -203938, -271914, -339888?
-407860
What comes next: 46, -55, -334, -881, -1786, -3139, -5030, -7549?
-10786
What comes next: -6813, -6844, -6923, -7074, -7... | {
"pile_set_name": "DM Mathematics"
} |
hours.
0.0000000016021395
What is three eighths of a gram in milligrams?
375
How many millilitres are there in fourty-four fifths of a litre?
8800
How many kilograms are there in 3/8 of a tonne?
375
How many minutes are there in twenty-three sixths of a day?
5520
Convert 578355.2 tonnes to nanograms.
57835520000000000... | {
"pile_set_name": "DM Mathematics"
} |
thout replacement from {k: 3}.
1
Calculate prob of sequence kkgd when four letters picked without replacement from gdgdkdkggggggddddg.
7/4080
Two letters picked without replacement from pppppp. Give prob of sequence pp.
1
Three letters picked without replacement from {i: 4, b: 1, s: 3}. Give prob of sequence sss.
1/56
... | {
"pile_set_name": "DM Mathematics"
} |
at is the remainder when 268863 is divided by 17924?
3
Calculate the remainder when 186670 is divided by 18667.
0
Calculate the remainder when 12515 is divided by 12449.
66
What is the remainder when 4987 is divided by 249?
7
Calculate the remainder when 46244 is divided by 670.
14
What is the remainder when 28043 is d... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 840*k**2
What is the second derivative of d**2*m**4 + 95892*d**2*m**3 + 42898*d**2*m - 2*d**2 wrt m?
12*d**2*m**2 + 575352*d**2*m
Find the third derivative of 28480*o**3 - 4*o**2 - 1978*o wrt o.
170880
Find the second derivative of -h**3 + 50316*h**2 + 15*h + 17214 wrt h.
-6*h + 100632
What is the third derivative... | {
"pile_set_name": "DM Mathematics"
} |
be s(15). Suppose 6*r + 1314 = n. Round r to the nearest ten.
-140
Let k = 1262064709 + -1262051054.955845. Let p = k - 13654. Let t = p + -0.044. Round t to five dps.
0.00016
Let f = 447.586 - 448. Let q = -0.41399668 - f. Round q to 6 dps.
0.000003
Suppose 2*v + 4501 = -5*z, 11*v - 10*v + 2288 = 5*z. Let h be -3 - (... | {
"pile_set_name": "DM Mathematics"
} |
and 1 u?
4/91
Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {w: 2, m: 1, y: 2, s: 1, l: 2}.
1/14
Three letters picked without replacement from yzymzmmmmmm. Give prob of picking 2 y and 1 z.
2/165
What is prob of picking 2 y when two letters picked without replacement from yllyly... | {
"pile_set_name": "DM Mathematics"
} |
z*s**3 + n + w*s + k*s**2 and give z.
-3
Rearrange 2*f**3 + f**4 - 1 - 4*f**3 - 5*f**2 + 6*f**2 to the form r + g*f**3 + n*f**2 + i*f + p*f**4 and give r.
-1
Express (3*s**2 + 4*s**2 + 0*s**2)*(-3*s + 3*s + 10*s**2)*(1 + 1 - 5) as f*s**2 + q*s + z + b*s**4 + h*s**3 and give b.
-210
Rearrange (-34*j + 251*j + 10*j)*(-2... | {
"pile_set_name": "DM Mathematics"
} |
133))/sqrt(7) - 2*sqrt(304))**2.
-7296
Simplify (-4*sqrt(816))/(sqrt(3) + sqrt(9)/(sqrt(12)/sqrt(4))) + -4.
-8*sqrt(17) - 4
Simplify (-3 + sqrt(243)*2 + 2)**2 + 1 + sqrt(48) + 3 + sqrt(30)/(2*sqrt(10)).
-63*sqrt(3)/2 + 977
Simplify ((sqrt(187) - (sqrt(187) + sqrt(187) + -1*(sqrt(187) + 1*sqrt(187))))/((-1*sqrt(88))/sqr... | {
"pile_set_name": "DM Mathematics"
} |
- -33))?
0
-14 + -8 - -18 - 20
-24
What is the value of -10 + -7 + -12 + 56 + 1?
28
Calculate (0 - 1) + 3 + 2 - (-1075 + 1069).
10
7 - (75 + -22 + -30)
-16
Calculate (-2 - 27) + 5 + -4 + (6 - 5).
-27
Calculate 8 + 1 + -2 + (-22 - -12 - 5).
-8
Evaluate (-6 - (-4 + 15)) + 10 - 5.
-12
What is the value of (8 - (6 + 2 - (... | {
"pile_set_name": "DM Mathematics"
} |
v(l) = -159*l. Calculate v(j(i)).
-159*i
Let q(n) = 7*n + 5. Let c(w) = -4*w - 3. Suppose -3*l + 2 + 0 = k, -2*l + 3 = k. Let t(z) = k*c(z) + 3*q(z). Let b(d) = -d. Give b(t(v)).
-v
Suppose -5*q + 40 = 3*b, -q - 2*b = -3*b. Let o(g) = 2*g + q*g - 5*g. Let n(k) be the second derivative of k**4/12 + k. What is n(o(l))?
4... | {
"pile_set_name": "DM Mathematics"
} |
715/8 + -89. Put b, 0.3, -4, 0.5 in decreasing order.
0.5, b, 0.3, -4
Suppose 5*w + 4*p - 64 = 0, 0*w + 2*p - 14 = -w. Let v = w + -14. Put 3, -3, v in increasing order.
-3, v, 3
Let g = 13.1 - 15. Let a = 1.4 + g. Put -3/5, a, 1 in ascending order.
-3/5, a, 1
Let c = 0 + 0. Suppose c*z - 4*z + 5*w + 22 = 0, -5*z + 2*... | {
"pile_set_name": "DM Mathematics"
} |
6 * -0.006
-2943.996
Work out -1622 * -13011.
21103842
What is -26.08 times 1052?
-27436.16
674 times 123
82902
Multiply -139.5 and -295068.
41161986
What is -12642460 times 4?
-50569840
Calculate 6943*302.
2096786
What is -1496566 times 213?
-318768558
0.3 * 0.4337478
0.13012434
-18.29 times -53808
984148.32
-8.3 time... | {
"pile_set_name": "DM Mathematics"
} |
(f) = n*l(f) - 120*v(f). Give p(o(g)).
30*g**2
Let t(q) = -5*q - 225. Let m(h) = -9. Let y(x) = 25*m(x) - t(x). Let r(z) = 542*z**2 - 2. What is r(y(f))?
13550*f**2 - 2
Let z(c) = -11*c. Let g(p) = 108*p - 32 - 203*p + 0 + 103*p. Determine z(g(m)).
-88*m + 352
Let r = 12 + -12. Let s(c) = 73*c + 0 + r - 74*c. Let n(a) ... | {
"pile_set_name": "DM Mathematics"
} |
mainder when x(1) is divided by 10?
9
Let v = 27 + -73. Suppose -82*o = -86*o + 284. Let a = v + o. What is the remainder when 74 is divided by a?
24
Let i be 2/6*-8*-3. Let d = 11 - i. What is the remainder when 4 is divided by d?
1
Let x = -13 - -29. Let z(i) = 8*i**2 - i - 3. Calculate the remainder when z(-2) is di... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 0 + 6/5*d = 0.
0, 1, 2
Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0.
-1, 2/7, 1
Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h.
-1, 0, 1/2, 6/5
Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z... | {
"pile_set_name": "DM Mathematics"
} |
se j - o = -w*j. Is j a multiple of 12?
True
Let a(z) = -z**3 + 16*z**2 + 17*z + 20. Is 7 a factor of a(15)?
False
Suppose 5*w + 3*u - 1085 = 159, 1003 = 4*w + 5*u. Does 14 divide w?
False
Let g(u) = 6*u - 1. Suppose -3*j = -0*j + 4*h - 19, 3*j - h = -1. Let v be g(j). Suppose -v*y + 270 = -0*y. Does 27 divide y?
True
... | {
"pile_set_name": "DM Mathematics"
} |
e the prime factors of b(1)?
3, 1787
Suppose 45*h = -21*h + 91*h - 268725. List the prime factors of h.
3, 3583
Suppose -o - 4 = 0, -2*h + 232 = -o + 16. Suppose -t - 6 = t, q - h = -5*t. List the prime factors of q.
11
Let c(k) = -19*k**3 - 9*k**2 - 9*k - 19. Let b be c(-6). Suppose -6*u = -1711 - b. List the prime fa... | {
"pile_set_name": "DM Mathematics"
} |
rom amgxf. Give prob of picking 1 a, 1 x, 1 f, and 1 g.
1/5
What is prob of picking 3 m when three letters picked without replacement from qmqqmmmqmqqqmqqmmqmq?
7/95
What is prob of picking 1 l and 1 m when two letters picked without replacement from {x: 2, m: 4, l: 5}?
4/11
Three letters picked without replacement fro... | {
"pile_set_name": "DM Mathematics"
} |
*d - 14 + 104 = 0. Solve -p*k + 15 = -d*k for k.
-5
Suppose -u - 9 = 2*z - 5*z, -3*z - 4*u + 24 = 0. Let b = 39 - 39. Suppose 6*t - t - 10 = b. Solve -z*n = -t*n + 8 for n.
-4
Let n = -26 - -31. Let b(t) = -9*t + n*t - 21 - t. Let v be b(-5). Solve -v = -2*q - 2*q for q.
1
Let i(w) = w - 4. Let j be i(4). Let o = 753 +... | {
"pile_set_name": "DM Mathematics"
} |
Put together -0.192 and -920322024764.
-920322024764.192
Put together -0.51 and 34615850.13.
34615849.62
Subtract -3 from 11219290.35965.
11219293.35965
Calculate 519437849 + -59035.
519378814
What is the distance between 5.298 and 224113315?
224113309.702
Subtract -5 from -509083577066.
-509083577061
1376344480991 + 0... | {
"pile_set_name": "DM Mathematics"
} |
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