text stringlengths 270 8.19k | meta dict |
|---|---|
ed without replacement from {s: 15, z: 4}?
455/3876
Two letters picked without replacement from {d: 1, w: 2, q: 2}. Give prob of sequence dq.
1/10
Two letters picked without replacement from fqcorqrsrrfq. Give prob of sequence co.
1/132
What is prob of sequence ggv when three letters picked without replacement from gkn... | {
"pile_set_name": "DM Mathematics"
} |
0.
1/2770
Calculate -28044 divided by 36.
-779
-33671 divided by 8
-33671/8
What is -81 divided by -1847?
81/1847
-626007 divided by -2939
213
Divide -34 by -151.
34/151
What is -646505 divided by 129301?
-5
-1566807 divided by 19833
-79
Divide -22040 by -380.
58
-14 divided by -224
1/16
-1052725 divided by -17
61925
-... | {
"pile_set_name": "DM Mathematics"
} |
4
Let v(q) = q. Let y(k) = 814469*k. Calculate v(y(o)).
814469*o
Let m(n) = 4*n. Suppose 12 = -5*a - 5*g + 27, 0 = 5*a + 2*g - 12. Let i(w) be the third derivative of 0*w**3 + w**a + 0*w - 1/24*w**4 + 0. What is m(i(h))?
-4*h
Let n(h) = -3*h. Let k(r) = 153205*r. Determine n(k(f)).
-459615*f
Let g(a) = 9*a**2 + 16*a. L... | {
"pile_set_name": "DM Mathematics"
} |
6}. Give prob of sequence ggxr.
1/2040
Three letters picked without replacement from rrd. What is prob of sequence rrd?
1/3
Calculate prob of sequence ju when two letters picked without replacement from {o: 2, u: 1, j: 1, v: 1}.
1/20
Calculate prob of sequence ok when two letters picked without replacement from kkokko... | {
"pile_set_name": "DM Mathematics"
} |
of g and v.
4
Let j be (-4)/6 - (-1192)/6. Suppose 2990*k - 3094*k - 974 = -3262. Calculate the highest common divisor of j and k.
22
Let r(a) = 4*a - 10. Let l be r(8). Let d be (1 + -2)/(-14 + 164151/11726). What is the highest common divisor of d and l?
22
Let p(c) = 11*c**2 + c - 4. Suppose 10 = -3*z + z. Let y be... | {
"pile_set_name": "DM Mathematics"
} |
e 8, what is 0 - -163?
163
In base 11, what is -19a + -3?
-1a2
In base 8, what is -1035 - -1?
-1034
In base 10, what is -569 - 5?
-574
In base 14, what is -2c - 29a?
-2c8
In base 7, what is -15 - -31?
13
In base 6, what is 4 - 1141?
-1133
In base 13, what is -2 + -22?
-24
In base 3, what is 12 + 211010?
211022
In base ... | {
"pile_set_name": "DM Mathematics"
} |
ext in 12721, 12711, 12687, 12643, 12573, 12471?
12331
What comes next: 259, 328, 397, 466?
535
What is the next term in 26, 418, 1072, 1988?
3166
What is the next term in 6667, 13332, 19991, 26644, 33291?
39932
What is the next term in 362, 371, 390, 419?
458
What comes next: 3968, 3970, 3982, 4010, 4060?
4138
What is... | {
"pile_set_name": "DM Mathematics"
} |
p*m, 5*y - 3*m = 115003. Round y to the nearest ten thousand.
20000
Let o = 3.171851 - 3.175. What is o rounded to four dps?
-0.0031
Let h = -778480 + 279910. Round h to the nearest 100000.
-500000
Suppose 3*i + 0*i = 12, -k + 71 = 2*i. Suppose 4*c - 207 + k = 0. Let x be 9/c + 189999/4. What is x rounded to the neare... | {
"pile_set_name": "DM Mathematics"
} |
value in 4, -0.3, 1, 0.109, 2/7, 1/4, -3?
0.109
Which is the fourth smallest value? (a) -0.02 (b) -6/7 (c) -5 (d) 119/16
d
Which is the fourth biggest value? (a) -0.4 (b) 0.8 (c) 2 (d) -2280460
d
What is the biggest value in 3, 0, -5.113, -12, -9?
3
What is the third smallest value in 1, -139080/17, 58?
58
What... | {
"pile_set_name": "DM Mathematics"
} |
re there between 7:43 PM and 5:29 AM?
586
How many minutes are there between 5:38 PM and 6:31 PM?
53
How many minutes are there between 11:55 PM and 7:14 AM?
439
How many minutes are there between 2:02 PM and 8:15 PM?
373
What is 372 minutes after 5:49 PM?
12:01 AM
What is 493 minutes before 6:34 PM?
10:21 AM
What is 1... | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of -1/2*v**2 + 0*v**3 + 0 - 122*v + 1/4*v**4. Calculate s(-1).
2
Let c = -1643 + 1650. Let o(g) be the first derivative of -7/2*g**2 - 1 + 1/3*g**3 + 8*g. Determine o(c).
8
Suppose -35 = -5*j, j = 4*i + 720 - 669. Let p(t) = -t**3 - 12*t**2 - 12*t - 18. Calculate p(i).
-7
Let r be (4/2)/8 - 36/16. ... | {
"pile_set_name": "DM Mathematics"
} |
te y(l).
-3
Let g(p) = -p**3 + 12*p**2 - 13*p + 15. Let o(t) = -t + 1. Let a(f) = g(f) - o(f). Let z be a(11). Let c(x) = -x**2 - x + 4. Determine c(z).
-8
Let q(v) = -v**2 - 4*v - 1. Suppose -44 = -5*x + 11. Suppose -5 = x*c + 28. Give q(c).
2
Let p(b) = b**3 + 8*b**2 + 6*b + 8. Suppose -174 = 6*a - 132. Give p(a).
15... | {
"pile_set_name": "DM Mathematics"
} |
-6)**2.
sqrt(7)/6 + 2041200
Simplify 3 + 2 + (sqrt(1539)*5)**2*5 + (sqrt(1539) - (sqrt(1539) + 5)*-2).
27*sqrt(19) + 192390
Simplify (-1*sqrt(80) - (2 + -2 + sqrt(5)))**2 + (sqrt(3520)/sqrt(11) - (sqrt(5) - (sqrt(30)*2)/sqrt(6))).
9*sqrt(5) + 125
Simplify (sqrt(95) - -1*(((sqrt(95) - sqrt(95)*-1) + sqrt(95) - sqrt(95))... | {
"pile_set_name": "DM Mathematics"
} |
) = 3*v**3 - 3*v**2 + 6*v - 2. Determine y(4).
166
Let y(d) = -d**3 - 8*d**2 + 7*d - 8. Give y(-6).
-122
Let f(n) = 5*n**3 - 42*n**2 - 36*n - 17. Calculate f(9).
-98
Let t(s) = -3*s**2 - 247*s + 1017. What is t(4)?
-19
Let h(w) = w**3 + 5*w**2 + 1130*w + 6811. Give h(-6).
-5
Let t(r) = 3*r**2 - 121*r - 155. Give t(41).... | {
"pile_set_name": "DM Mathematics"
} |
+ 4 - 1)*(1 - 1 - 1) - 1 + 0 - 1) to the form q*j**2 + l + y*j and give q.
-24
Express -4 + 58*i - 23*i - 29*i - 24*i in the form g*i + f and give g.
-18
Rearrange 205*z**3 + 12*z + 1 + 11*z - 46*z**3 - z**2 - 24*z to the form b*z**2 + u + n*z**3 + j*z and give u.
1
Rearrange -3 - 9*g**2 - 15*g**4 + 3*g**3 + 11*g**2 +... | {
"pile_set_name": "DM Mathematics"
} |
21.
-10, 0, 1, 21
Sort 1, 4, 12, 2.
1, 2, 4, 12
Sort 2/3, 5/6, 5/4, -1/7 in descending order.
5/4, 5/6, 2/3, -1/7
Put 3, -3, -2, -2567, -5 in descending order.
3, -2, -3, -5, -2567
Put 0.3, 1, 1/4, -0.06, -2 in decreasing order.
1, 0.3, 1/4, -0.06, -2
Put -5, -0.8, -0.6, 5, 0.1 in ascending order.
-5, -0.8, -0.6, 0.1, ... | {
"pile_set_name": "DM Mathematics"
} |
= -z**4 - 6*z**3 + 114*z - 179. Let q(a) = -3*a - 37. Let f be q(-12). Let c(j) = f*r(j) + 6*v(j). Differentiate c(h) wrt h.
4*h**3 - 102
Let u(w) be the first derivative of 17*w**7/42 - 29*w**3/6 + 24*w - 5. Let s(b) be the first derivative of u(b). What is the second derivative of s(r) wrt r?
340*r**3
Suppose 2*l + ... | {
"pile_set_name": "DM Mathematics"
} |
d the common denominator of (-15244)/927*1*(-3)/26 and 21/115.
4485
Suppose 29 = 3*v - o, -5*v + o = 3*o - 30. Find the common denominator of 2/39*244/v and 51/11.
429
Let t = 23/431 - 8851/36635. Calculate the common denominator of t and -93/272.
1360
Let t = -5 - -10. Let b be (53/3)/((-4)/(-12)). Suppose -6*s + b - ... | {
"pile_set_name": "DM Mathematics"
} |
millisecond?
250
How many months are there in fourty-one sixths of a millennium?
82000
How many nanoseconds are there in 85.21119 milliseconds?
85211190
How many nanoseconds are there in 7000.03 seconds?
7000030000000
Convert 8.330376 days to milliseconds.
719744486.4
What is 98739.63 days in microseconds?
853110403200... | {
"pile_set_name": "DM Mathematics"
} |
. Suppose 2*k = -2*t - 0*k, 5*k = -2*t - 15. Which is the second biggest value? (a) x (b) t (c) 9
b
Let q = -1.3 - -1.1. Let f = 1 - 0.7. Which is the second smallest value? (a) 2/7 (b) q (c) f
a
Let i = 2/109 + 212/327. Let w = -0.8 + -0.1. Let y = w + -1.1. What is the smallest value in 0, y, i?
y
Let d(m) = m*... | {
"pile_set_name": "DM Mathematics"
} |
1)*(-1 - 5 + 4)*(-d + 3*d - 3*d) to the form o*d**3 + z + x*d**2 + c*d and give o.
56
Rearrange (-220 + 412 - 210)*(r - r + 2*r) to t + n*r and give n.
-36
Rearrange (2*r**2 - r**2 + 2*r**2)*(-3*r + r + 4*r) - 331 - 331 + 992 - 7238*r**3 - 330 to the form m*r**3 + b*r + q*r**2 + o and give m.
-7232
Rearrange 6*i**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
n four letters picked without replacement from {x: 2, c: 1, k: 2, s: 1, t: 1, l: 1}.
1/840
Three letters picked without replacement from pppppgvvvpppppggvvg. Give prob of sequence gpg.
20/969
Three letters picked without replacement from yywlbbou. Give prob of sequence yby.
1/84
What is prob of sequence tx when two let... | {
"pile_set_name": "DM Mathematics"
} |
55, i, 10, -8, 0.4?
10
Let z = -314.2 + 314.208. Which is the biggest value? (a) 0.02 (b) 0.2 (c) -5 (d) z (e) -2/7
b
Let q = 0 + 0. Let t = -1284 - -1288. Let y be (-172)/22 - (-12)/(-66). Which is the second biggest value? (a) q (b) y (c) t
a
Let i = 21733 + -21733.2. What is the smallest value in 0.02, i, 0.... | {
"pile_set_name": "DM Mathematics"
} |
ist the prime factors of 40271.
7, 11, 523
List the prime factors of 73714.
2, 36857
List the prime factors of 376.
2, 47
What are the prime factors of 1242?
2, 3, 23
List the prime factors of 727.
727
What are the prime factors of 4038?
2, 3, 673
What are the prime factors of 930?
2, 3, 5, 31
List the prime factors of... | {
"pile_set_name": "DM Mathematics"
} |
ive of -3/7*d**2 - 7 + 4/7*d + 2/21*d**3. Factor b(o).
2*(o - 2)*(o - 1)/7
Let z(a) be the second derivative of 3/56*a**7 - 1/12*a**4 + 0 + 21*a + 3/8*a**3 + 1/60*a**6 + 1/4*a**2 - 9/40*a**5. Suppose z(h) = 0. What is h?
-1, -2/9, 1
Suppose -5 = -2*y - 1. Suppose 5*v = -3*j - y, -v - 3*j + 4*j = -6. Solve 7*t**2 - 2*t*... | {
"pile_set_name": "DM Mathematics"
} |
e 0 = 366*y + 289 - 1021. What is the fourth biggest value in y, -5, -0.01, d?
-5
Suppose -10*w + 6*w = 24. Let y = w - -74. Let r = y + -71. Which is the second biggest value? (a) -4 (b) r (c) 2/9
b
Let o be ((-78)/8)/((-6)/8). Suppose -12*f + o + 23 = 0. Which is the second smallest value? (a) -4 (b) 7 (c) f (... | {
"pile_set_name": "DM Mathematics"
} |
g)).
-275*g**2
Let l(v) = -3*v**2. Let i(n) = 164*n**2 + n - 1. Let k(c) = -39*c**2 + 2*c + 1. Let f(g) = i(g) - k(g). Give f(l(u)).
1827*u**4 + 3*u**2 - 2
Let x(s) = -2*s. Let f(p) = -4 + 0 - 75*p - 59*p + 1. Determine f(x(j)).
268*j - 3
Let k(t) = -138*t. Let s(c) = 1390*c**2 - 10*c. What is s(k(q))?
26471160*q**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
e a + 2*a - 2*w - 6 = 0, 4*a - 5*w - 8 = 0. What is the common denominator of 10/8*(-302)/45 and (-1 - a)*67/(-30)?
90
Suppose 5*r = 5*x + 5, 3*x - 5*x + 5*r - 2 = 0. Find the common denominator of (x/(-3))/(48/(-1242)) and 151/6.
24
Let t(b) = 6*b - 19. Let m be t(5). Suppose -m = -h + 1. What is the smallest common m... | {
"pile_set_name": "DM Mathematics"
} |
t is -0.05964 rounded to 2 dps?
-0.06
Round 0.000027718 to five dps.
0.00003
What is 50.069 rounded to zero dps?
50
Round 42117 to the nearest ten thousand.
40000
What is -0.489949 rounded to 3 dps?
-0.49
Round 0.0029348 to five decimal places.
0.00293
What is -0.0023092 rounded to 4 dps?
-0.0023
Round 461.03 to the ne... | {
"pile_set_name": "DM Mathematics"
} |
-5 - -7)). Suppose 0*y - h = 2*y. Is y > v?
False
Let c = -148 + 1039/7. Let b = -12 - -12.8. Are c and b nonequal?
True
Let x(d) = -9*d**2 - 107*d + 13. Let c be x(-12). Is 2/997 bigger than c?
False
Let k = 4.1 - 4. Let z = -171 + 172.6. Which is greater: k or z?
z
Let k = -12 + -3. Let n be 3 - (1 + k/(-6)). Let y =... | {
"pile_set_name": "DM Mathematics"
} |
3
What is 2 + -3 - (-758 + 725)?
32
What is the value of 41 + -31 - (-18 - (6 + 1 + -9))?
26
Evaluate -36 - (2 + (23 - 7) + -25).
-29
Calculate 13 + (-9 - (-8 - -13)).
-1
16 + -19 + (28 - 4)
21
What is 4 + -2 + -31 + 17?
-12
Calculate (2 + (-2 - 2) - (40 - 34)) + 6.
-2
Evaluate 24 + (2 + (11 - (-3 - -10)) - 3).
27
13 +... | {
"pile_set_name": "DM Mathematics"
} |
2*d = -20, 3*x + 8 = -2*d + 4*d. Let h be y(x). Let v be 9 + -8 + (16 - h). What is the greatest common factor of v and 90?
18
Let l = 97 - 20. Suppose 72 = -8*v, 69*c + v = 66*c + 1608. Calculate the greatest common divisor of c and l.
77
Let p = 352 + -388. Let q be (3/6)/((-2)/p). Calculate the greatest common divis... | {
"pile_set_name": "DM Mathematics"
} |
= -902 - f. Calculate the greatest common divisor of z and 26.
26
Let r be (-6 - 13)/(-1 + 2). Let n(k) = k**3 + 19*k**2 - 8*k - 8. Let o be n(r). Calculate the highest common divisor of o and 18.
18
Suppose -162*n + 149*n + 130 = 0. Calculate the greatest common divisor of 850 and n.
10
Let p(w) = -w**3 - 2*w**2 + 2.... | {
"pile_set_name": "DM Mathematics"
} |
e 2?
1
6 (base 8) to base 9
6
What is e8 (base 15) in base 6?
1002
What is 10 (base 5) in base 3?
12
What is 4 (base 16) in base 3?
11
1 (base 12) to base 10
1
Convert -e (base 15) to base 9.
-15
What is -3 (base 14) in base 10?
-3
-2 (base 6) to base 15
-2
Convert -42 (base 12) to base 3.
-1212
1001110 (base 2) to bas... | {
"pile_set_name": "DM Mathematics"
} |
s for q.
-3
Let h(o) = -57 + 15*o + 26*o - 74*o + 21*o. Let d be h(-5). Solve 2*w = a + 4, d*w + 5*a = 2 + 17 for w.
3
Let x be (3/(-6))/1 - 95/(-2). Let l = x - 47. Suppose l = -5*p + 2*p + 9. Solve 22 = -5*a + a - 3*g, 0 = -3*a - p*g - 18 for a.
-4
Let o(j) be the first derivative of -3*j**4/4 - j**2/2 + 4*j - 78. Le... | {
"pile_set_name": "DM Mathematics"
} |
**2. Determine k(p(i)).
-96*i**4 + 8*i**2
Let q be (-174)/18 + 10/6. Let i(x) = 5 + 7*x**2 + 7*x**2 + 3. Let u(h) = 5*h**2 + 3. Let p(m) = q*u(m) + 3*i(m). Let z(t) = -6*t**2. Calculate p(z(v)).
72*v**4
Let s(p) = -2*p**2 - 4*p - 4. Let f(y) = -y - 1. Let t(v) = -4*f(v) + s(v). Let c be (-9)/6*482/(-3). Let m(r) = 241 ... | {
"pile_set_name": "DM Mathematics"
} |
9*y - 13. Let c = -7 - -1. Let d(z) = c*t(z) + v*b(z). Factor d(u).
-u*(5*u - 2)
Let k be (1 - -3) + (0 - 0). Let -3*u**k + 9*u**4 + 3*u**3 + u**5 + 2*u**5 = 0. Calculate u.
-1, 0
Factor 2/13*s**3 + 0*s - 2/13*s**5 + 0*s**2 + 0 + 0*s**4.
-2*s**3*(s - 1)*(s + 1)/13
Find p such that 4/5*p - 4 - 1/5*p**4 + 3*p**2 + 2/5*p*... | {
"pile_set_name": "DM Mathematics"
} |
u. Round l to one dp.
-0.2
Let b = -4 - -4. Let q be 3/((-3)/(-2) + b). Suppose q*n - 140 = 6*n. Round n to the nearest ten.
-40
Let l(f) = f + 6. Let j be l(0). Let g(x) = 2*x**3 + 2*x**2 - x**3 + 145*x - 4*x**2 - 151*x - 2*x**2 - 6. Let b be g(j). What is b rounded to the nearest 100?
0
Let s = 902 + -902.649. What i... | {
"pile_set_name": "DM Mathematics"
} |
t k = 7 + q. Solve 2*g + 11 = k*r, 5 - 1 = -o*g + 2*r for g.
2
Let p be 0 + (-2 - -3 - -1). Suppose -2*c - 6 - 2 = -3*b, -8 = -b + p*c. Suppose b*x = 5*x. Solve x = -2*z - w + 3, -5*w - 5 = 5*z for z.
4
Suppose 28*w + 7*w - 25*w = 20. Solve -w = 2*d + 3*p, -6*d + 2 = -4*d + 5*p for d.
-4
Suppose 26 = 3*q - 2*m, 4*q - 5... | {
"pile_set_name": "DM Mathematics"
} |
664?
2664
In base 7, what is -1650 - 5?
-1655
In base 8, what is 1 - -703?
704
In base 5, what is 1002 - 1?
1001
In base 7, what is -50 + 106?
26
In base 3, what is 2020111 - 2?
2020102
In base 9, what is -14524 - 2?
-14526
In base 16, what is -3 + -37?
-3a
In base 13, what is -1 + a?
9
In base 14, what is -219 + -1?
-... | {
"pile_set_name": "DM Mathematics"
} |
*r. What is n(5)?
1
Let z(d) = -40*d**2 + 0*d**3 - d**3 + d + 1 + 35*d**2. Let f be -1 - -1 - 1 - -1. Let p be 1 + 2*-3 + f. Calculate z(p).
-4
Let p(g) be the second derivative of -g**5/20 + g**4/3 + 7*g**3/6 + g. Let f(h) = h**3 - 4*h**2 - 7*h + 1. Let i(t) = 5*f(t) + 4*p(t). What is i(5)?
-5
Let x be 3*6/(-9) - -11.... | {
"pile_set_name": "DM Mathematics"
} |
- 10) - 50?
-55
-11 + -3 + -16 - (0 - ((5 - 0) + -4))
-29
What is the value of -3 - 14 - (62 - 16 - 84)?
21
Calculate (0 + 14 - (-79 - -195)) + 17.
-85
What is (136 - (-19 - -27)) + -16 - (-6 - -2)?
116
Calculate -39 + 17 + -7 + 21.
-8
What is -1 + 9 - (93 + 14 + -27 + 12)?
-84
Evaluate 3 + 3 - (34 + -49).
21
Calculat... | {
"pile_set_name": "DM Mathematics"
} |
y (n**(2/23)*n)/(n**(-39)*n) assuming n is positive.
n**(899/23)
Simplify h**1/(h*h**(-3))*(h**1)**7 assuming h is positive.
h**10
Simplify (w/w**7*w/(w*w**(-10)))**(-5/6) assuming w is positive.
w**(-10/3)
Simplify p*p**(3/22)*p**2 assuming p is positive.
p**(69/22)
Simplify ((t**(2/7))**1)**(5/11) assuming t is posit... | {
"pile_set_name": "DM Mathematics"
} |
9 (base 10) in base 3?
220011010000
What is 53870 (base 12) in base 9?
177023
Convert 503606 (base 9) to base 4.
1020233010
Convert 1444065 (base 7) to base 9.
327646
Convert 2c9c3 (base 13) to base 10.
85166
Convert -1220322012 (base 4) to base 15.
-874bc
What is 6135a1 (base 11) in base 13?
286839
Convert 5774846 (ba... | {
"pile_set_name": "DM Mathematics"
} |
+ 7*l**3*u + 102*l**3 - 541*l**2*u + 354*u wrt l.
48*l*u - 24*l + 42*u + 612
Find the third derivative of 353066*x**3 - 436*x**2 - 969*x wrt x.
2118396
What is the third derivative of 546913*o**6 + 567790*o**2?
65629560*o**3
Find the second derivative of 3668486*x**2 + 91763*x - 12.
7336972
What is the second derivativ... | {
"pile_set_name": "DM Mathematics"
} |
e units digit of 8987?
7
What is the units digit of 456?
6
What is the thousands digit of 12071?
2
What is the thousands digit of 2023?
2
What is the hundreds digit of 802?
8
What is the units digit of 5104?
4
What is the units digit of 4204?
4
What is the hundreds digit of 702?
7
What is the thousands digit of 7062?
7... | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from {j: 7, l: 1}.
1/2
Two letters picked without replacement from swswfsswswf. What is prob of picking 2 f?
1/55
Calculate prob of picking 1 o, 1 b, and 1 l when three letters picked without replacement from {l: 2, o: 1, x: 12, z: 3, b: 2}.
1/285
Three letters picked without replacement from {... | {
"pile_set_name": "DM Mathematics"
} |
is bigger: 210/11707 or 0?
210/11707
Is -36412 < 0?
True
Which is bigger: -17/262 or 37?
37
Which is bigger: 665939 or 1?
665939
Are 42245 and 0 unequal?
True
Which is smaller: 3/78910 or 1?
3/78910
Which is greater: 95891 or 95889?
95891
Is 0 at most as big as -16/180421?
False
Is -325527 > -1/4?
False
Is -61/17650 a... | {
"pile_set_name": "DM Mathematics"
} |
at is i(c)?
2
Let i(t) be the second derivative of -t**5/20 + t**4/6 + t**3/6 - t**2/2 - 433*t. Let d(s) = -s - 3. Let n be d(-5). What is i(n)?
1
Let q(f) = -f**2 - 5*f - 4. Let i(b) = -b**2 - 17*b - 26. Let u(x) = -3*x**2 - 50*x - 77. Let o(n) = 17*i(n) - 6*u(n). Let j be o(-8). Calculate q(j).
0
Suppose -10*a - 23 =... | {
"pile_set_name": "DM Mathematics"
} |
376*b - 742*b - b**2 + 2 as z + h*b + o*b**4 + q*b**3 + a*b**2 and give z.
2
Rearrange (6*p - 50*p - 19*p)*(-5*p - p + 12*p) to s*p + f + o*p**2 and give s.
0
Rearrange -855*w + 4 - 4 - 830*w - 753*w to the form p + o*w and give o.
-2438
Rearrange (-10*j + 10*j - 10*j**2)*(1 + 0 + 0 + (-2 + 2 - 2)*(3 + 0 - 1) + 1 - 3 +... | {
"pile_set_name": "DM Mathematics"
} |
r q.
3
Suppose 15 = -6*d + 9*d. Suppose -k + d*k = 16. Solve -5*r - 5*x = 0, 3*r + k*x - 2 = -2*r for r.
2
Let r be (5 - -4) + (2 - 1). Suppose n = -n - 5*t - r, 0 = -4*n - 3*t - 6. Solve o = -n*o + 5*p - 15, 33 = -5*o + 4*p for o.
-5
Let q be 3/(21/6 - 2). Suppose -7 = -q*g + 5. Suppose 3*a - 56 = -14. Solve g*s = 2*s... | {
"pile_set_name": "DM Mathematics"
} |
206*l**2
Let q = 935 + -940. Suppose -15 + 76 = 5*k - x, -14 = -k + 2*x. Let t(o) = -15*o**3 + 12. Let w(l) = -6*l**3 + 5. Calculate k*w(z) + q*t(z).
3*z**3
Let o(d) = 5*d**3 - 3*d**2 + 7*d + 3. Let t(i) = 4*i**3 - 4*i**2 + 7*i + 4. Determine -4*o(h) + 3*t(h).
-8*h**3 - 7*h
Let m be 6/(-18) + (-83)/3. Let x = m - -34.... | {
"pile_set_name": "DM Mathematics"
} |
What is the hundreds digit of 365003?
0
What is the thousands digit of 10797453?
7
What is the hundred thousands digit of 465185?
4
What is the tens digit of 4691439?
3
What is the hundred thousands digit of 2334649?
3
What is the ten thousands digit of 16517002?
1
What is the units digit of 2512852?
2
What is the hun... | {
"pile_set_name": "DM Mathematics"
} |
factor of 9 and m.
9
Let w(v) = v**3 - 16*v**2 - 15*v - 7. Let c be w(17). Let k be (((-3)/9)/(1/18))/((-6)/621). Calculate the highest common divisor of c and k.
27
Suppose 23 + 1 = c. Suppose -14 = t - 5*v, 2*t - 2*v + 1 = 5. Suppose 3*k = -z + 9, 2*k - 8 + t = 0. What is the greatest common factor of c and z?
6
Sup... | {
"pile_set_name": "DM Mathematics"
} |
)**2
Let i be (37 - 40) + (-1 + 0)*-6. Determine v so that 2/13*v + 64/13*v**i - 20/13*v**2 - 64/13*v**4 + 0 = 0.
0, 1/4, 1/2
Let j(v) = 5*v**2 + 15*v + 10. Let r(i) = 26*i**2 + 74*i + 50. Let o(f) = 22*j(f) - 4*r(f). Find w, given that o(w) = 0.
-5, -2/3
Solve -1/2*c**2 + 0*c + 2 = 0 for c.
-2, 2
Let m(q) be the secon... | {
"pile_set_name": "DM Mathematics"
} |
and 2*s**3 + s**2 - s**2 + (s - s + 2*s**2)*(105*s - 54*s + 31*s) + 31 + 20*s**3 - 31.
186*s**3
Expand (-h + 10*h**2 - 2 - 12*h**2 + 4)*((4 - 2 - 3)*(-5*h - 7*h + 6*h) - 1 + 2*h + h + 0*h).
-18*h**3 - 7*h**2 + 19*h - 2
Expand (-1366 + 563*c**2 + 1366)*((-2 + 2 + 2)*(4 - 2 + 0) + 0 + 2 - 3 + 3 + 0 - 4 - 2 + 2 + 2).
2252... | {
"pile_set_name": "DM Mathematics"
} |
5 + z**5 + z**4/3 - 16*z**3/3 + 8*z**2 - 6*z. Factor g(w).
-4*(w - 1)**3*(w + 2)**2
Suppose 18 - 48 = -5*m. Let n(i) be the first derivative of -24/35*i**5 - 9/14*i**4 - 5/21*i**m + 0*i**2 + 0*i + 1 - 4/21*i**3. Factor n(b).
-2*b**2*(b + 1)**2*(5*b + 2)/7
Let i be (-9)/(-3) + (-7)/7. Suppose -1/4*a**i - 1/2*a + 0 = 0. ... | {
"pile_set_name": "DM Mathematics"
} |
95 divide 1112484?
False
Is 733858 a multiple of 6?
False
Does 46 divide 15171956?
False
Is 7 a factor of 40285?
True
Is 2232355 a multiple of 8?
False
Does 180 divide 259560?
True
Is 96 a factor of 261504?
True
Does 19 divide 1483252?
False
Does 53 divide 101442?
True
Is 978112 a multiple of 496?
True
Is 4 a factor o... | {
"pile_set_name": "DM Mathematics"
} |
t j = 0.29 + 0.01. Which is the nearest to 1? (a) v (b) j (c) 0.8
c
Suppose 5*r = -2*x + 31, x - 14 = r - 3*r. Suppose -y - 2*y = -39. Let o = x - y. What is the nearest to -0.1 in -2, o, 2/5?
2/5
Let t = 12 + -11. Let u = t - 1.1. Let r be (-4)/14 + (0 - 0). Which is the closest to u? (a) -0.1 (b) r (c) 3
a
Let ... | {
"pile_set_name": "DM Mathematics"
} |
3 and r(c)?
330
Let n(q) = 3*q**3 + 5*q**2 + 7*q + 9. Let i be n(7). Let p = -4046/3 + i. Find the common denominator of p and (-134)/(-4)*4/(-54).
27
Suppose -336*d - 32536 = -10*d + 66*d. Suppose l = 2*l - 5. What is the common denominator of l + (-1 - d/(-12)) and -19/72?
72
Suppose -3*y + 3 = -j + 2*y, 0 = -4*j - y... | {
"pile_set_name": "DM Mathematics"
} |
22105723?
False
Is 540 a factor of 13176829?
False
Is 108446637 a multiple of 80?
False
Is 1475930502 a multiple of 341?
False
Does 21 divide 219822435?
True
Is 26 a factor of 58064422?
True
Is 78345197 a multiple of 571?
True
Does 25 divide 408943950?
True
Does 392 divide 37632?
True
Is 15 a factor of 62229270?
True
I... | {
"pile_set_name": "DM Mathematics"
} |
f x*-17*1*(45 - 46)?
17, 43
Let a = -268 + 278. Suppose 6*s = -a*s + 6496. What are the prime factors of s?
2, 7, 29
Let l(g) be the third derivative of -g**6/120 - g**5/10 - 7*g**4/24 - 3*g**3 - g**2 - 15*g. List the prime factors of l(-12).
2, 3, 5, 31
Let o = -373 + 373. Suppose 0 = -o*s - 16*s + 9744. List the prim... | {
"pile_set_name": "DM Mathematics"
} |
t o(s) = 3*c(s) - 8*v(s). Let i be o(4). Let u be (-2)/(-14) + 240/i. Sort -3, 3, u in decreasing order.
3, u, -3
Let b(g) = -4*g + 4. Suppose -3*n = 5*v - 0*n + 5, 3*n + 15 = 0. Let j be b(v). Sort -5, 3, j in descending order.
3, j, -5
Suppose 0 = 3*m + 3. Let a(u) = 5*u + 9. Let x(l) = 14*l + 26. Let k(r) = -11*a(r)... | {
"pile_set_name": "DM Mathematics"
} |
0. Calculate the lowest common multiple of f and w.
924
Let h = 2665 - 13262/5. What is the common denominator of h and 8723/183 + (-2)/12?
10
Calculate the least common multiple of ((-8)/(-20))/(3 + 3096/(-1035)) and 69.
138
Let j(t) = -136*t**3 + 3*t + 2. Let h be j(2). Calculate the smallest common multiple of 10 an... | {
"pile_set_name": "DM Mathematics"
} |
test common factor of 560 and 4130?
70
What is the highest common factor of 798 and 182658?
42
What is the highest common factor of 1 and 65191?
1
What is the highest common factor of 801 and 12345279?
267
What is the highest common divisor of 5 and 4447865?
5
Calculate the highest common factor of 168 and 43896.
24
Wh... | {
"pile_set_name": "DM Mathematics"
} |
by 2666?
311
What is the remainder when 9430 is divided by 2571?
1717
Calculate the remainder when 1168666 is divided by 707.
702
Calculate the remainder when 1170 is divided by 113.
40
Calculate the remainder when 2127 is divided by 307.
285
Calculate the remainder when 7064 is divided by 436.
88
What is the remainder... | {
"pile_set_name": "DM Mathematics"
} |
2*z(k).
2*k + 4
Let x(r) = -11*r**2 + 50*r - 5. Let a(q) = -6*q**2 + 25*q - 3. Calculate 7*a(w) - 4*x(w).
2*w**2 - 25*w - 1
Let w(m) = 9*m**2 - 2 - 10*m**2 + 0*m**2. Let l(d) = d. Give l(j) + w(j).
-j**2 + j - 2
Let d(p) = -30*p**2 + 20*p - 5. Let i(n) = 31*n**2 - 19*n + 7. Let h(z) = -4*d(z) - 5*i(z). Let x(a) = 5*a*... | {
"pile_set_name": "DM Mathematics"
} |
z(w)).
15*w**2
Let i(t) = -t**2. Let s(f) = -191*f. Calculate s(i(a)).
191*a**2
Let c(q) = -2*q**2. Let x(p) = -12*p**2 - 4*p**2 - 27*p**2 + 0*p**2. Give x(c(g)).
-172*g**4
Let r(s) = -s**2. Let w(i) = -i**3 - 7*i**2 + 8*i + 3. Let b be w(-8). Let m be 7*(b + -1) - -3. Let t(a) = 7*a**2 - m*a + 17*a. Give t(r(f)).
7*f*... | {
"pile_set_name": "DM Mathematics"
} |
b) -69/5 (c) -0.3 (d) -1
d
Which is the closest to -1/2? (a) 160 (b) 4 (c) -2 (d) -3/4
d
What is the closest to 11 in 58, -4, 1/4, 0.3?
0.3
Which is the nearest to -4/3? (a) 0.2 (b) -3 (c) 84
a
What is the closest to 1/5 in 1, 198, 0.07, -1?
0.07
What is the nearest to -17 in 4, -2, -7, 3?
-7
What is the close... | {
"pile_set_name": "DM Mathematics"
} |
d**4 - 12*d**4 - 5*d**2 - 6*d**i wrt d.
-432*d
Let w(o) = -659*o**2 + 456*o - 5. Let d(v) = v + 1. Let y(p) = 5*d(p) + w(p). What is the second derivative of y(h) wrt h?
-1318
Suppose -5*u = -o - 0*o - 24, -3*o = 3*u. What is the first derivative of 9*p**3 - u - 24*p**3 - 2*p**3 wrt p?
-51*p**2
What is the third deriva... | {
"pile_set_name": "DM Mathematics"
} |
1). Let c = y - -344. What is the remainder when 150 is divided by c?
46
Suppose 14*c - 27 = 5*c. Calculate the remainder when 90 is divided by ((-2)/(-4 + c))/((-4)/(-46)).
21
Let z(n) = n**2 + 9*n + 1. Let c be z(4). Let w(b) = -5 + 0*b + 0 + 5*b + b + c*b**2. Calculate the remainder when w(2) is divided by 55.
54
Su... | {
"pile_set_name": "DM Mathematics"
} |
u(i) = -50 - 10*i - 174 + 86. Let y be u(-14). Which is the nearest to -2? (a) y (b) d (c) -0.2
c
Let p = -509 + 509. Let g = 13 - 7. Let z be (g/10)/(9/20). Which is the nearest to p? (a) 2/7 (b) z (c) 4
a
Let n = 165 - 233. Let y be (-3*(-2)/4)/((-34)/n). Which is the closest to 0? (a) 5 (b) 2/15 (c) y (d) ... | {
"pile_set_name": "DM Mathematics"
} |
of w and -48/41.
164
Suppose 4 = 3*q - 2. Suppose q*p = p + 1. Let l = 17 + p. What is the smallest common multiple of l and 16?
144
Suppose 16*f - 5 = 15*f, 3*f - 33 = -a. Calculate the least common multiple of 276 and a.
828
Suppose r = 14 - 8. What is the least common multiple of r + 7 + (-4 - 0) and (-2)/(-3) - 2/... | {
"pile_set_name": "DM Mathematics"
} |
7, -7363, -9111?
-10799
What comes next: 61079, 61077, 61075, 61073, 61071?
61069
What is the next term in -3497, -13996, -31493, -55988, -87481?
-125972
What is the next term in 1997, 2998, 4667, 7004, 10009, 13682, 18023?
23032
What comes next: -1465, -3114, -5863, -9712, -14661, -20710, -27859?
-36108
What is the ne... | {
"pile_set_name": "DM Mathematics"
} |
en 9:52 PM and 9:23 AM?
691
What is 104 minutes before 9:27 PM?
7:43 PM
What is 324 minutes after 7:48 AM?
1:12 PM
What is 488 minutes after 3:22 PM?
11:30 PM
What is 592 minutes after 5:54 PM?
3:46 AM
What is 298 minutes after 8:54 AM?
1:52 PM
What is 135 minutes after 11:14 PM?
1:29 AM
How many minutes are there betw... | {
"pile_set_name": "DM Mathematics"
} |
e prob of sequence eec when three letters picked without replacement from eecaaeca.
1/28
What is prob of sequence yge when three letters picked without replacement from yccegejyvvvg?
1/165
Four letters picked without replacement from {f: 4, d: 6, q: 4, u: 1}. What is prob of sequence fudf?
1/455
Two letters picked with... | {
"pile_set_name": "DM Mathematics"
} |
g**7/10080 - g**4/3 - 2*g. Let d(b) be the third derivative of p(b). Factor d(v).
v**2*(v - 1)**2*(2*v - 1)/4
Let n = 18 + -13. What is f in 3*f + 9 - 3*f**2 - n - 7*f = 0?
-2, 2/3
Let y(w) be the first derivative of w**5/10 - w**4 + 11*w**3/3 - 6*w**2 + 9*w/2 + 4. Factor y(d).
(d - 3)**2*(d - 1)**2/2
Let m(d) be the s... | {
"pile_set_name": "DM Mathematics"
} |
). Solve s - 3 = 2*i, q*s - 5*s = -3*i - 3 for i.
-3
Let x(z) = -z**2 + 23*z - 58. Let j be x(20). Solve -j*b = -3*t + 7, 0 = b - 2*b - 2*t + 7 for b.
1
Let b = -265 - -269. Solve 3*k - 10 = 2*v - 0*v, -5*v = 3*k + b for k.
2
Let z(w) = 2*w**3 - 21*w**2 + 11*w. Let u be z(10). Solve -4*h - q - 5 = 12, 5*h = -5*q - u fo... | {
"pile_set_name": "DM Mathematics"
} |
kilograms are there in 612956.1 micrograms?
0.0006129561
What is 3.010535nm in meters?
0.000000003010535
What is 0.0722379 decades in centuries?
0.00722379
Convert 39.9755 decades to years.
399.755
What is 76/5 of a litre in millilitres?
15200
How many years are there in 29/5 of a millennium?
5800
What is fifteen quart... | {
"pile_set_name": "DM Mathematics"
} |
7144 and 273409.
373
Calculate the greatest common factor of 29001936 and 1887408.
12336
Calculate the highest common factor of 4023 and 7443.
9
What is the highest common divisor of 8555 and 987365?
295
What is the greatest common divisor of 35717 and 52921?
187
Calculate the highest common factor of 1930905 and 1080.... | {
"pile_set_name": "DM Mathematics"
} |
3*j - 96 = 0. Suppose 0 = 7*h - 2*h + 4*l - 116, 2*h + 2*l = f. List the prime factors of h.
2, 3
Let l = -6 - -5. What are the prime factors of (-1 + l)/(2/(-10))?
2, 5
Let h = 198 - 125. List the prime factors of h.
73
Let l be -1 + (0 - -1) - -6. Let z(r) = -2*r**2 - 5*r - 4. Let x(i) = 3*i**2 + 4*i + 5. Let p(c) = ... | {
"pile_set_name": "DM Mathematics"
} |
ate -19 + 41 + 28 + -46 - (1 - -95 - -2).
-94
What is 192 + -130 + -225 + (36 - 1)?
-128
Evaluate -33 + -25 + 26 + 14 + -108.
-126
Evaluate (40 - (3 - -25)) + (2 - -1) - (-56 - -1).
70
Evaluate -45 + 15 - (91 + -6 + 7).
-122
What is the value of -74 + -76 + 9 + 111?
-30
What is the value of 20 - 19 - (3 + -1 - -22)?
-2... | {
"pile_set_name": "DM Mathematics"
} |
nding order.
h, g, 0.1
Let w = -783.6 + 784. Sort -0.047, w, 0 in increasing order.
-0.047, 0, w
Let k = 1520 - 1520.2. Sort -1, k, -3 in ascending order.
-3, -1, k
Suppose 0 = 99*d - 106*d + 14. Suppose -3*x = 2*n - 4*n - 59, 0 = -2*n - d. Put 2, 5, x, 0 in increasing order.
0, 2, 5, x
Suppose -p + 2*t - 5*t - 21 = 0,... | {
"pile_set_name": "DM Mathematics"
} |
e -125*c - 270 = 67*c - 78. Suppose j = f - 9, -5*j - 3*f = 47 + 38. Let h be (-24)/(-14) - 4/j. Put 3, c, h in descending order.
3, h, c
Let t = 1 + 1. Let p be -3 - -6 - 2 - (-2 + -2). Let w = -149.3 - -150. Sort t, w, 0.2, p in descending order.
p, t, w, 0.2
Let o = -36158/7 - -5165. Sort o, 17, -3/4, -0.2, 4.
-3/4,... | {
"pile_set_name": "DM Mathematics"
} |
*u + 2*a - 68, 4*u + 21 = 5*a for u.
-4
Solve 4*n + 16 = -4*j + 2*j, -2 = n for j.
-4
Solve -206*f + 201*f + 5*k - 50 = 0, k - 5 = 0 for f.
-5
Solve -2*r - 6 = 0, 2*r + 823 - 801 = 2*j for j.
8
Solve -3*c - 250*s + 254*s + 8 = 0, -5*c + 22 = 2*s for c.
4
Solve -5*o = 5*c - 35, 12*o - 17*o - 4*c + 28 = 0 for o.
0
Solve ... | {
"pile_set_name": "DM Mathematics"
} |
ed by 19.
17
Suppose -75 = 4*q + q. Let l be q/20*4/(-3). Calculate the remainder when l/((-4)/(-64)*4) is divided by 3.
1
Let k(s) = s**3 + 5*s**2 + 4*s. Let t be k(-4). Let h = t - -12. Suppose -3*r + h = -12. What is the remainder when 39 is divided by r?
7
Let k(w) = -w**3 - 10*w**2 + 12*w + 12. Let n be k(-11). Su... | {
"pile_set_name": "DM Mathematics"
} |
Simplify j*j/j**8*j**(12/13)/j assuming j is positive.
j**(-79/13)
Simplify f*(f/f**(-18)*f*f)/f*f*f**(16/9)/f assuming f is positive.
f**(205/9)
Simplify (t/(t*t**(1/6)))/t**(1/22) assuming t is positive.
t**(-7/33)
Simplify (u/(u/(u**2/u)*u))**(16/3)/(u**3)**(-6/13) assuming u is positive.
u**(18/13)
Simplify (d*d**(... | {
"pile_set_name": "DM Mathematics"
} |
?
w
Let g = 0.14 - 0.24. Which is smaller: g or 15/2?
g
Let i = 10/9 - -214/99. Which is smaller: 2 or i?
2
Suppose -5*m = -3*m - 64. Suppose 2*i + i = -5*q + 37, -4*q = 3*i - m. Let d(h) = -h**3 + 5*h**2 - 4*h + 6. Let j be d(i). Is j at least 5?
True
Let j be (-3)/(1 - -2) - 12. Which is bigger: j or 0?
0
Let z be (1... | {
"pile_set_name": "DM Mathematics"
} |
rest one hundred thousand?
800000
Let p = -9.76 + -0.24. Let q = p + -2.7. Let b = q - -7.1. Round b to the nearest integer.
-6
Let d = 70.3 + -67. Let t = -3.30000027 + d. Round t to 7 dps.
-0.0000003
Let t = -2.59 + 2.5901754. Round t to 5 decimal places.
0.00018
Let w = 356 + -352.255. Let v = -4.85 + w. Round v to ... | {
"pile_set_name": "DM Mathematics"
} |
vided by -51696.
41/51696
Divide -23870749 by -7.
3410107
238254487 divided by 1
238254487
What is 23129714 divided by -11564857?
-2
What is 0 divided by 16554852?
0
Calculate -13106058 divided by 194.
-67557
Divide -843188 by 14.
-421594/7
-3789557 divided by -199
19043
Calculate -72 divided by 17205.
-24/5735
-886 di... | {
"pile_set_name": "DM Mathematics"
} |
t(119))/sqrt(7) - ((sqrt(17) - (sqrt(17)*-1 + 3)) + sqrt(17)).
-sqrt(17) + 3
Simplify (1*sqrt(57)/sqrt(3) + (sqrt(133)/(sqrt(7) + sqrt(35)/sqrt(5)) - sqrt(19)))**2.
19/4
Simplify ((sqrt(190)/sqrt(5)*2)/(sqrt(320)/sqrt(10)))**2.
19/4
Simplify (sqrt(99)*-1)/sqrt(9) + -1.
-sqrt(11) - 1
Simplify (sqrt(200) + sqrt(200) + 2*... | {
"pile_set_name": "DM Mathematics"
} |
-898*x for x.
11
Solve 0 = 9563*y - 11149*y + 141154 for y.
89
Solve -140*m - 5040 = 177*m + 4*m + 15*m for m.
-15
Solve 683 - 7868 = -79*q - 944 for q.
79
Solve -1159*f + 1178*f - 63 - 89 = 0 for f.
8
Solve -221985 - 476797 = 15187*z + 201*z + 332214 for z.
-67
Solve -243*j - 512*j + 5516 = 624*j for j.
4
Solve -59*d... | {
"pile_set_name": "DM Mathematics"
} |
72*m + 24
Find the first derivative of 689*l + 457*l + 851*l + 63*l**3 - 1782 - 65*l**3 wrt l.
-6*l**2 + 1997
Let w(y) = -1922*y**2 - 21*y + 1574. Let n(x) = 1921*x**2 + 28*x - 1574. Let k(b) = 3*n(b) + 4*w(b). Differentiate k(a) with respect to a.
-3850*a
Let c(f) be the first derivative of -151*f**4/12 - 183*f**2/2 +... | {
"pile_set_name": "DM Mathematics"
} |
5). Suppose -q*b - 4*h = -0*b - 16, 0 = 3*h - 12. Is b greater than 3/5?
False
Let x = -33 - -30. Is x at least as big as -4?
True
Let b(h) = h**3 + 6*h**2 + h - 3. Let v be b(-3). Let p = v - 30. Are -9 and p nonequal?
False
Let r be (-2)/(-54)*(4 + 11). Which is smaller: 0 or r?
0
Let a = -47 + 233/5. Let m = 3 + 5. ... | {
"pile_set_name": "DM Mathematics"
} |
r of 1 and s.
1
Let v = 30 + -24. Suppose 3*o = -h + 28, -o - 4 = -v. What is the greatest common divisor of 55 and h?
11
Let m be 1 - 206/(-6) - (-20)/(-60). Let o(i) = i + 7. Let v be o(0). Calculate the greatest common divisor of m and v.
7
Let p = 883 - 663. Calculate the highest common divisor of p and 352.
44
Let... | {
"pile_set_name": "DM Mathematics"
} |
) = y**2 - 28*y + 1. Let c(k) = 3*a(k) - p(k). Calculate o(c(w)).
-132*w**2 + 264*w
Let b(w) be the first derivative of -1/3*w**3 + 63 + 0*w + 0*w**2. Let f(l) = 0*l - 2*l - 3*l. Give b(f(c)).
-25*c**2
Let d(s) be the third derivative of -s**5/20 - s**2. Let p(h) = -40*h + 80*h + 5*h - 22*h**2 - 45*h. What is d(p(r))?
... | {
"pile_set_name": "DM Mathematics"
} |
given that 5*n**2 - 20*n - 60 = 0.
-2, 6
Factor y**3/5 + 151*y**2/5 + 1155*y + 1125.
(y + 1)*(y + 75)**2/5
Solve 5*h**5/2 - 70*h**4 + 65*h**3 + 70*h**2 - 135*h/2 = 0.
-1, 0, 1, 27
Find b, given that -4*b**5 + 96*b**4 - 500*b**3 - 296*b**2 + 1728*b - 1024 = 0.
-2, 1, 8, 16
Suppose -2*v**5/3 + 4*v**4/3 + 18*v**3 - 8*v**... | {
"pile_set_name": "DM Mathematics"
} |
?
False
Let j be (483/(-35))/(1/(-5)). Suppose 3*o + 237 = 3*v, -4*o = 2*v - v - j. Is v composite?
True
Let w = -3 - -4. Suppose j = -2 + w, 4*j = -5*m + 21. Suppose 260 = m*g - g. Is g composite?
True
Suppose 0*q = 2*q - 156. Suppose -4*i = -3*t + 181, 2*t = -2*i + 38 + q. Is t composite?
False
Let t be (-30510)/(-63... | {
"pile_set_name": "DM Mathematics"
} |
many millennia are there in 89973.3 months?
7.497775
How many months are there in three fifths of a decade?
72
How many minutes are there in seven eighteenths of a day?
560
How many centuries are there in 34.45244 decades?
3.445244
How many micrometers are there in 9.111313mm?
9111.313
What is 185113.5 months in years?... | {
"pile_set_name": "DM Mathematics"
} |
e first derivative of -18*f**3 - 9*f + 78. Find the first derivative of l(t) wrt t.
-108*t
Let u(g) be the third derivative of g**8/168 + 3*g**7/35 + g**5/4 - 22*g**2. What is the third derivative of u(t) wrt t?
120*t**2 + 432*t
Let o(z) be the first derivative of 28*z**5/5 + z**4/2 - 23*z + 95. Differentiate o(u) wrt ... | {
"pile_set_name": "DM Mathematics"
} |
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