text stringlengths 270 8.19k | meta dict |
|---|---|
ctor of u and 35.
5
Let x be (-2 + 1 - -3) + 18. Suppose -148 + 768 = x*y. Calculate the highest common factor of y and 341.
31
Let f(v) = v**3 + 19*v**2 + 34*v - 4. Let u be f(-17). Let b be (-1*9)/((-22)/u + -7). Calculate the greatest common divisor of 20 and b.
2
Let l be (-2)/15 - (-6235)/75. Let m = 111 - l. What... | {
"pile_set_name": "DM Mathematics"
} |
3)/(sqrt(11) - sqrt(176)*-2).
2*sqrt(17)/3 + 7
Simplify (2 + 3*(-2 + 2 + 0 + sqrt(612)))**2.
72*sqrt(17) + 5512
Simplify 6*(-5 + sqrt(833) + -2 + 3*sqrt(833))**2*-6.
-481572 + 14112*sqrt(17)
Simplify 0 + ((sqrt(242)*2 + sqrt(242))*-2)**2 + 3 + -1 + sqrt(242) + 1.
11*sqrt(2) + 8715
Simplify (sqrt(64)*-1 - sqrt(16))/(sqr... | {
"pile_set_name": "DM Mathematics"
} |
2*g + 6 = 3*g. Suppose 2*k + k + i = -19, 2*k - i + g = 0. Let y = -3 - k. Give d(y).
4
Suppose v + 2*v = 15. Let c(j) = 2*j - 3. Determine c(v).
7
Let w(s) = 3*s - 2*s + 2*s - s + 6. Calculate w(5).
16
Let c be 4/(-3)*(-3)/2. Let z(g) = -5*g - 3 + g**c - 2*g**2 - 2. What is z(-4)?
-1
Let m(k) = 4*k + k - k - 3*k + 4. ... | {
"pile_set_name": "DM Mathematics"
} |
m. What is the units digit of q?
1
Suppose -4*y = -5*r - 310, 84 = y - 2*r + 4*r. Suppose 8*a - y = 3*a. What is the units digit of a?
6
Suppose 0 = n - 9 + 4. Suppose -4*j + n*t + 25 = -95, 2*t = 3*j - 83. Let f = 7 + j. What is the tens digit of f?
3
What is the hundreds digit of (2564 - -1) + (92 - 83)?
5
Let c(t) b... | {
"pile_set_name": "DM Mathematics"
} |
) + 11*i(k).
-3*k**3 + 5
Let x(i) = 11*i**2 + 11*i + 2. Let d(o) = -4*o**2 - 2 + 1 - 2*o**2 - 6*o. Suppose -3*u + 10*u = -28. Give u*x(h) - 7*d(h).
-2*h**2 - 2*h - 1
Let z(l) = -160*l - 17. Let c(v) = 53*v + 6. Determine 11*c(d) + 4*z(d).
-57*d - 2
Let j(q) = -4*q + 1. Let b(v) = -2*v - 1. Let s(t) = -t. Let c(m) = b(m... | {
"pile_set_name": "DM Mathematics"
} |
).
2, 3
Let h(r) = 4 + r**2 + 0*r**2 + 4*r + 0. Suppose 4*o - 20 = 0, -1 = 5*d + 3*o + 4. What are the prime factors of h(d)?
2
Let m(o) = -o - 2. Let d be m(-2). Suppose -3*b = 3*q, d*b - 5*b + 5*q = 0. Suppose b*j = -2*j + 24. List the prime factors of j.
2, 3
Let r be 27 + 3/(3/(-3)). Suppose w = j - 12, -5*w + 0 - ... | {
"pile_set_name": "DM Mathematics"
} |
))/(9/12)?
1/6
What is the value of (5/((-20)/(-3)))/((-12)/(-8))?
1/2
((-1)/(-4))/((-5)/(70/(-7)))
1/2
((-3)/5)/((-216)/80)
2/9
What is (-14)/2*215/(-301)?
5
What is (-8)/32*-6*2?
3
Calculate ((-2)/1)/(100/(-400)).
8
(-6*4/(-32))/(117/(-78))
-1/2
What is the value of 5/(-2)*(-6)/45*-6?
-2
Evaluate (24/324*-6)/(28/6).
... | {
"pile_set_name": "DM Mathematics"
} |
lculate -49668 divided by -12417.
4
What is -218602 divided by 3769?
-58
Calculate 17394 divided by 8697.
2
Divide 382855 by 11.
34805
Calculate 1980 divided by -60.
-33
Calculate 0 divided by -442909.
0
What is 84351 divided by -5?
-84351/5
Calculate -34485 divided by 6897.
-5
What is 3 divided by -4359?
-1/1453
Calcu... | {
"pile_set_name": "DM Mathematics"
} |
rder.
s, 5, -4
Let k(d) = 10*d. Let h(x) = -2*x. Let b(u) = 16*h(u) + 3*k(u). Let z be b(-3). Let n be 5/(-2)*z/(-10). Put n, -3, -1 in ascending order.
-3, -1, n
Let r = 158 - 142. Put 2, 4, 3, r in ascending order.
2, 3, 4, r
Suppose -5 = -3*t - 2. Let n be -4*t - (25 - 16). Sort -1, n, 3.
n, -1, 3
Let t = 51 + -51.4... | {
"pile_set_name": "DM Mathematics"
} |
-2610, -2515, -2382, -2205, -1978?
k**3 + 4*k**2 - 2*k - 2730
What is the l'th term of -102, 23, 174, 357, 578, 843?
l**3 + 7*l**2 + 97*l - 207
What is the n'th term of 1406, 5634, 12682, 22550, 35238, 50746, 69074?
1410*n**2 - 2*n - 2
What is the c'th term of -458, -491, -542, -617, -722, -863, -1046, -1277?
-c**3 - ... | {
"pile_set_name": "DM Mathematics"
} |
ulate -2*f(c) - 2*p(c).
1730*c**2 - 2*c
Suppose 3*y - 4*p + 9 = 32 - 5, 0 = 3*p + 27. Let m(q) = -6 + 7*q - 2*q - q. Let u(d) = 5*d - 7. Give y*m(v) + 5*u(v).
v + 1
Let f = 8 + -19. Let t(o) = 6*o - 2. Let j(b) = 39*b - 21. Let p(a) = -j(a) + 6*t(a). Let d(c) = 5*c - 17. Calculate f*p(k) - 6*d(k).
3*k + 3
Suppose 85*g ... | {
"pile_set_name": "DM Mathematics"
} |
*5/30 - 2*t**2. Calculate j(w(v)).
12*v**4
Let b(q) = -2*q**2. Let v(c) be the second derivative of c**3/3 + 10*c. Determine v(b(h)).
-4*h**2
Let f(p) = -p. Suppose -4*u = o - 4 - 6, 2*o = 3*u - 2. Let d(b) = 2*b**2 - 6*b**2 + 3*b**u. Give f(d(v)).
v**2
Let f(b) = 2*b**2. Let d(q) = -q**2 + 3*q - 3. Let s(x) = -x**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
uppose -4*y + l = j - 0*j, 0 = 3*y + j - 10. Does 4 divide y?
True
Suppose -2*u = 2*u - 144. Does 12 divide u?
True
Suppose p + 0*v - 4*v = 25, -5*p + 74 = -3*v. Is p a multiple of 13?
True
Suppose 101 = -6*m + 695. Is 11 a factor of m?
True
Let h(m) = m**2 - 13*m - 1. Is 2 a factor of h(14)?
False
Let k be (-1)/5 - 32... | {
"pile_set_name": "DM Mathematics"
} |
or s.
1
Suppose -5*a + 116 = -4*k, 9*k + 3*a = 4*k - 145. Let r = k + 36. Solve 5*x - f + 0 = 21, 5*f - r = -3*x for x.
4
Let s be (-2)/1*4/2. Let y be s/30 + (-64)/(-30). Solve -y*g - 1 = 5*i - 2*i, 5*i + 5 = -5*g for g.
-2
Let s(i) = -4*i + 131. Let d be s(32). Solve -j - 3*j + 11 = d*n, -3*j + 27 = -4*n for j.
5
Let... | {
"pile_set_name": "DM Mathematics"
} |
))*-5 + sqrt(208))**2).
-65*sqrt(13) + 243
Simplify ((sqrt(209) + (sqrt(209) - (sqrt(209) + 1*sqrt(209)*4)) + sqrt(209) + sqrt(209))/sqrt(11))**2 + 1*sqrt(1900) + -1.
18 + 10*sqrt(19)
Simplify -5*(-5*(5*3*sqrt(684) - (sqrt(684) - (-1 + sqrt(684) + sqrt(684) + 1*sqrt(684) + sqrt(684)))))**2.
-27702125 + 27000*sqrt(19)
S... | {
"pile_set_name": "DM Mathematics"
} |
Let f be 96/10*345/138. Let m = 35 + -38. Put m, f, 2, -5 in descending order.
f, 2, m, -5
Let i(d) = 7*d**2 + d - 2. Let z be i(-1). Suppose -m - 25 = -z*k, -m + 0*m = -3*k + 19. Suppose 8*c = k*c - 2. Sort 1, 3, c in increasing order.
c, 1, 3
Let h(o) = -o**3 + o**2 + o. Let g be h(0). Let k be g + 3 - (-16 + 26). Pu... | {
"pile_set_name": "DM Mathematics"
} |
26652100
321111322 (base 4) to base 3
102221012001
Convert -44525131 (base 7) to base 4.
-32231100133
Convert 101523363 (base 7) to base 15.
7ce973
What is 31bc953 (base 13) in base 12?
5108898
107097 (base 15) to base 9
1423237
Convert c243a2 (base 13) to base 11.
2609549
bc2672 (base 13) to base 9
8305161
33322203 (... | {
"pile_set_name": "DM Mathematics"
} |
t j be ((-4)/15)/(c/(-5)). Put u, j, 1/11 in decreasing order.
1/11, u, j
Suppose 5 + 7 = 6*g. Sort g, -5, -2 in increasing order.
-5, -2, g
Let n = 5 + -3. Suppose n*m + 1 = 3. Suppose -11 - m = 4*w. Put 2/9, -0.4, w in decreasing order.
2/9, -0.4, w
Let u = 52 - 52.3. Sort 3, 11, -5, u in increasing order.
-5, u, 3, ... | {
"pile_set_name": "DM Mathematics"
} |
base 8) to base 10.
4108
What is -aa70 (base 14) in base 2?
-111001100111010
-a95b (base 12) to base 16
-48d7
Convert -1122202121 (base 3) to base 5.
-2021012
What is -2242 (base 10) in base 11?
-1759
What is -2223222 (base 4) in base 9?
-16056
-612 (base 9) to base 12
-355
What is -414 (base 10) in base 9?
-510
Conver... | {
"pile_set_name": "DM Mathematics"
} |
= m**3 - 3*m**2 - 2*m - 1. Determine y(h).
7
Let q(j) = -3*j - 9. Let w be q(-3). Let z(n) = 4*n + 8. Let x(v) = v. Let g(p) = -3*x(p) + z(p). Determine g(w).
8
Let v(o) be the first derivative of -4/3*o**3 + 1/4*o**4 + 2 + 2*o - o**2. Suppose 3*r = 3*c - 9, 2*r + 3 = c + 2. What is v(r)?
-10
Suppose -3*y + 12 = 5*j -... | {
"pile_set_name": "DM Mathematics"
} |
h is the biggest value? (a) -3/2 (b) -5 (c) 0.6 (d) -2 (e) -2/23
c
Which is the second biggest value? (a) -3/5 (b) 0.3 (c) 0.01 (d) -12 (e) -1/3
c
What is the smallest value in -4/5, -1/3, -156.94?
-156.94
Which is the biggest value? (a) 1 (b) -1/11 (c) -4/93 (d) -0.14 (e) 1/8
a
Which is the fourth bigge... | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from oojjjoojlll. Give prob of picking 3 j and 1 o.
8/165
Three letters picked without replacement from jumruuutju. Give prob of picking 1 m, 1 j, and 1 r.
1/60
What is prob of picking 1 r and 2 m when three letters picked without replacement from qurmttuuuumuurmtuu?
1/136
Four letters pi... | {
"pile_set_name": "DM Mathematics"
} |
1099/2735 - 1/547. Solve b*o**5 - 4/5*o**4 + 2/5*o**3 + 0 + 0*o + 0*o**2 = 0 for o.
0, 1
Let u(g) be the first derivative of -g**4/6 - 4*g**3/9 - 10. What is b in u(b) = 0?
-2, 0
Find n such that 0 - 1/10*n**2 - 1/10*n**5 + 1/10*n**4 + 3/10*n**3 - 1/5*n = 0.
-1, 0, 1, 2
Let l(j) = j**2 - 3*j - 7. Let a be l(5). Determ... | {
"pile_set_name": "DM Mathematics"
} |
1
Suppose -4*u - 18 = -2*k, -3*u - 5*k = -k + 30. Let o(d) = -2*d - 7. Let x be o(u). Suppose x*s = 59 + 56. What is the tens digit of s?
2
Suppose -2*s - 3165 = j, -2*s + s - j = 1581. Let u = -2322 - s. What is the tens digit of (-4)/(-14) + u/(-14)?
5
Suppose -224 = -8*m + 10*m. Let p = m + 115. What is the units di... | {
"pile_set_name": "DM Mathematics"
} |
- z + 8 = -k, -z = 3*b - 17 for b.
4
Let c(g) = -g - 3. Let f(l) = l + 1. Let w(r) = -r. Let s be w(-1). Let x(u) = s*c(u) + 2*f(u). Let o be x(3). Solve 0 = -o*a - 4, 4*q = -0*q + a + 18 for q.
4
Let o = 30 + 1. Suppose -3*z - 5 + 20 = 0. Solve y - 11 = -3*h, 4 + o = 3*h - z*y for h.
5
Suppose 2*i - 15 = 1. Let r be i... | {
"pile_set_name": "DM Mathematics"
} |
l.
3
Let g(j) = -j**3 + 13*j**2 - 8*j + 18. Let k be g(12). Suppose -33*s + 35*s - k = 0. What are the prime factors of s?
3, 11
Let d = 27 - 29. What are the prime factors of (d/(-6))/((-15)/(-810))?
2, 3
Let s be (-2)/(45/(-10) + 4). Suppose -s*g + 5*t + 748 = 0, 4*t - 383 = -2*g - 9. What are the prime factors of g... | {
"pile_set_name": "DM Mathematics"
} |
et f be (-2 - -1)/(6/(-48)). Suppose -7*v + f = -3*v. Let i(u) = 0*u**2 + 7*u**v - 2*u**2 - u**2. Give i(o(k)).
16*k**2
Let i(v) = -2*v. Let d(b) = -19045*b + 62. Determine i(d(f)).
38090*f - 124
Let p(q) = 2*q. Let i(u) = 4443*u - 38. What is i(p(j))?
8886*j - 38
Let s(j) = 3*j**2. Let w(m) = -m**2 + 10*m - 8. Let q b... | {
"pile_set_name": "DM Mathematics"
} |
**5/60 - 6*u**2. Calculate n(y(d)).
4*d**2
Let g(f) = -2074 - 114*f**2 + 2074. Let w(k) = 2*k. Calculate g(w(d)).
-456*d**2
Let b(d) = d**2. Suppose h = -k + 8, -4*k + 3*k = -h + 2. Suppose -k*o - 12 = -6*o. Let q(j) = -4*j + o*j - j. Determine q(b(m)).
-m**2
Let g(d) be the second derivative of d**3/6 - 2*d. Let q(t) ... | {
"pile_set_name": "DM Mathematics"
} |
(j) = -6*j + 2. Let x(c) = c**2 + 3. Calculate the remainder when w(-3) is divided by x(-2).
6
Let c = -4 - -14. What is the remainder when 14 is divided by ((-16)/10)/(-4)*c?
2
What is the remainder when 55 is divided by (48/20)/((-12)/(-80))?
7
Let u = 91 - 81. What is the remainder when 13 is divided by u?
3
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
) = -133*i**2. Let s(b) = -200*b**2. Give 8*r(n) - 5*s(n).
-64*n**2
Let y(r) be the second derivative of -r**3/6 + r**2 + 17*r. Let a(c) = -c + c + 3 - c. Give 4*a(u) - 5*y(u).
u + 2
Let d = 12 - 22. Let v be d/(-45) + 168/(-27). Let n(k) = 5*k + 1. Let x(j) = -9*j - 2. Calculate v*x(l) - 11*n(l).
-l + 1
Let w(a) = -2*... | {
"pile_set_name": "DM Mathematics"
} |
*j - k*j**2 + 3*j + 0*j**2 - 28*j. Let r(y) = -4*y**2 - 2*y. Calculate -3*m(w) + 4*r(w).
-4*w**2 - 2*w
Let y(k) = -161*k**2 - 35*k. Let h(o) be the third derivative of -3*o**5/10 - o**4/6 - 373*o**2. What is -35*h(p) + 4*y(p)?
-14*p**2
Let u(b) be the first derivative of 3*b**3 + 5*b**2/2 - 5*b - 12. Suppose -3*j = 3*q... | {
"pile_set_name": "DM Mathematics"
} |
) = -50*p + 10. Let a be 8/(-6)*(-18)/12. Suppose -l = a*h - 21, 7*h - 58 = 2*h + 3*l. Let w be x(h). What is w rounded to the nearest 100?
-500
Let z = 0.0628741 + -543152.0628741. Let y = z - -543150.9999944. Let k = y - -1. What is k rounded to 6 decimal places?
-0.000006
Let y = 0.4 - 1. Let j = y + -2.4. Let k = j... | {
"pile_set_name": "DM Mathematics"
} |
divided by 54?
1
Calculate the remainder when 731 is divided by 240.
11
What is the remainder when 234 is divided by 85?
64
What is the remainder when 1630 is divided by 813?
4
Calculate the remainder when 209 is divided by 15.
14
What is the remainder when 225 is divided by 10?
5
Calculate the remainder when 2781 is d... | {
"pile_set_name": "DM Mathematics"
} |
+ 143. Let k(j) = 2*j**3 - 46*j**2 - j + 40. Let u be k(23). Calculate i(u).
-10
Let o(q) = 15 - 35 + 9 + 7 - 18*q**2 + 9 + 22*q - q**3. Calculate o(-19).
-52
Let b(i) be the first derivative of -i**3/3 - 35*i**2/2 - 236*i + 109. What is b(-26)?
-2
Suppose 4*q - 44 - 16 = -3*b, -4*b = -4*q - 108. Let n(d) = b - 16 + 2... | {
"pile_set_name": "DM Mathematics"
} |
7))/((-2)/(-60))?
3, 5, 43
List the prime factors of (1 - -1658) + (26/(-20) - (-36)/120).
2, 829
Let l(p) = 2*p**3 + p**2 - 6*p + 6. Suppose -2 = 2*h - 3*o - 8, h - 3 = -5*o. Let j be l(h). Let f = j - -49. What are the prime factors of f?
2, 5
Suppose 700 = -2*k - 2*k - 4*i, -2*k - 346 = 4*i. Let w = k - -437. Let n ... | {
"pile_set_name": "DM Mathematics"
} |
m = 479 + -294. What is the tens digit of m?
8
Let x(m) be the second derivative of 3*m - 3*m**2 + 1/6*m**3 + 0. What is the units digit of x(11)?
5
Let n(v) = 4*v - 14. Let l be n(4). Suppose 3*m + l*c - 5 = 13, -5*m = -5*c - 30. What is the units digit of m?
6
What is the tens digit of (-433)/(-2) - 8/16?
1
Let k(r) ... | {
"pile_set_name": "DM Mathematics"
} |
housand.
-290000
Round -6970.84 to the nearest 100.
-7000
Round 18073.4 to the nearest one hundred.
18100
Round 0.005371281 to 5 decimal places.
0.00537
What is -85466200 rounded to the nearest 100000?
-85500000
What is 2.48504 rounded to one dp?
2.5
What is -0.501871 rounded to 1 decimal place?
-0.5
Round 265197000 to... | {
"pile_set_name": "DM Mathematics"
} |
38*r**2 + 2*r. What is m(d(g))?
-418*g**2 - 22*g - 34
Let q(f) = -9*f. Let b(c) = -2*c**2 + 8829*c + 1. Calculate b(q(h)).
-162*h**2 - 79461*h + 1
Suppose -2*g + 6 = 2. Let s(z) = -g*z**2 + 0*z**2 + 0*z**2. Let j(b) = -8*b**2. Calculate j(s(y)).
-32*y**4
Let i be (-2)/(-4) + (-105)/(-14). Let z(p) = -8*p + 16*p - i*p -... | {
"pile_set_name": "DM Mathematics"
} |
te prob of picking 3 e when three letters picked without replacement from weecwew.
1/35
Four letters picked without replacement from {o: 3, v: 2, b: 2, f: 4}. Give prob of picking 1 b, 2 f, and 1 v.
4/55
Two letters picked without replacement from nageemageag. Give prob of picking 2 g.
3/55
What is prob of picking 2 c ... | {
"pile_set_name": "DM Mathematics"
} |
culate the greatest common divisor of 42 and 2688.
42
What is the highest common divisor of 430 and 2537?
43
Calculate the highest common factor of 24 and 1272.
24
Calculate the greatest common divisor of 78 and 6.
6
Calculate the highest common factor of 15 and 810.
15
What is the highest common factor of 21 and 119?
... | {
"pile_set_name": "DM Mathematics"
} |
de 81?
False
Does 120 divide 1453?
False
Is 928 a multiple of 3?
False
Is 2544 a multiple of 79?
False
Is 967 a multiple of 5?
False
Does 75 divide 16844?
False
Is 18 a factor of 864?
True
Is 45 a factor of 315?
True
Is 1769 a multiple of 29?
True
Is 118482 a multiple of 9?
False
Is 23760 a multiple of 72?
True
Does 13... | {
"pile_set_name": "DM Mathematics"
} |
eds digit of h(t)?
1
Let d(m) = -m**3 + 4*m**2 + 2*m - 4. Let b be d(4). Suppose u - 1127 = -b*l + 4*u, 2*l - 3*u = 571. What is the units digit of l?
8
What is the tens digit of (-5*(-6)/(-150))/(10/(-356350))?
2
Suppose y = 0, 2*r = 7*r - 2*y - 92415. What is the hundreds digit of r?
4
Let w = 4087 + -4132. Let f = -... | {
"pile_set_name": "DM Mathematics"
} |
z). Factor m(l).
-2*l**2*(l - 1)*(l + 1)
Let s be ((-2)/(-4))/(7/6). Let g be 54*((-2466)/3402)/(-137). Suppose 0 + s*x**2 + 0*x**3 + g*x - 1/7*x**4 = 0. Calculate x.
-1, 0, 2
Determine s, given that 421*s**3 + 20*s**2 - 224*s - 419*s**3 - 128*s**2 = 0.
-2, 0, 56
Let f = -428/7 + 432/7. Let n(z) be the second derivativ... | {
"pile_set_name": "DM Mathematics"
} |
0, -556, -392, -228, -64, 100?
164*w - 884
What is the w'th term of -533, -1293, -2561, -4337?
-254*w**2 + 2*w - 281
What is the f'th term of -1032179, -2064356, -3096533?
-1032177*f - 2
What is the o'th term of 557094, 557096, 557098, 557100?
2*o + 557092
What is the d'th term of 49, -287, -1405, -3695, -7547, -13351?... | {
"pile_set_name": "DM Mathematics"
} |
between 5:53 PM and 4:57 AM?
664
What is 204 minutes before 12:37 PM?
9:13 AM
What is 155 minutes before 10:24 AM?
7:49 AM
What is 376 minutes after 2:54 PM?
9:10 PM
What is 408 minutes before 7:58 AM?
1:10 AM
What is 98 minutes after 7:07 AM?
8:45 AM
How many minutes are there between 5:11 PM and 1:32 AM?
501
What is ... | {
"pile_set_name": "DM Mathematics"
} |
from {z: 4, v: 1, h: 4, c: 2}?
2/165
Calculate prob of sequence dnmm when four letters picked without replacement from {d: 6, m: 2, n: 1, g: 3, c: 2}.
1/2002
Four letters picked without replacement from mmmbmmb. What is prob of sequence mbbm?
1/21
Three letters picked without replacement from uepnmntu. What is prob of ... | {
"pile_set_name": "DM Mathematics"
} |
the square root of 4420 to the nearest integer?
66
What is 24514 to the power of 1/2, to the nearest integer?
157
What is the square root of 6370 to the nearest integer?
80
What is 19526 to the power of 1/8, to the nearest integer?
3
What is the square root of 49676 to the nearest integer?
223
What is 13782 to the pow... | {
"pile_set_name": "DM Mathematics"
} |
(-2/3)*d*d**(-3))**(-7/4) assuming d is positive.
d**(-35/12)
Simplify (j**(1/4)*j**(-6)*j)/(j**(2/5)*j**(-8)) assuming j is positive.
j**(57/20)
Simplify a**15/a*(a/(a/(a/a**(3/31)*a)))/a*a*a assuming a is positive.
a**(524/31)
Simplify (k/(k/(k*k/(k/(k*k**1)*k)*k))*k**0/k)/(k/k**(-7)*k**(-3/5)/k) assuming k is positi... | {
"pile_set_name": "DM Mathematics"
} |
g rounded to five dps?
0.00041
Let f be ((-1)/3)/(10/570). Let y = f - -18. Let c be -3*16/y + 4. What is c rounded to the nearest 10?
50
Let k = 305.15948 + 75.82162. Let r = k - 381. What is r rounded to two dps?
-0.02
Let s = -26231 - -48731. What is s rounded to the nearest 100?
22500
Let g = -990892 - 1380108. Wha... | {
"pile_set_name": "DM Mathematics"
} |
14830, 14798, 14722, 14584, 14366, 14050?
-3*p**3 - 4*p**2 + p + 14836
What is the m'th term of 4412, 4908, 5424, 5972, 6564, 7212, 7928?
2*m**3 - 2*m**2 + 488*m + 3924
What is the f'th term of 42898, 343388, 1159062, 2747512, 5366330?
42932*f**3 - 34*f
What is the t'th term of -45562906, -182251616, -410066140, -72900... | {
"pile_set_name": "DM Mathematics"
} |
hat is the units digit of 401199786?
6
What is the millions digit of 8512005?
8
What is the hundreds digit of 263651092?
0
What is the ten thousands digit of 153500192?
0
What is the ten millions digit of 444709866?
4
What is the hundreds digit of 63418588?
5
What is the ten millions digit of 650039179?
5
What is the u... | {
"pile_set_name": "DM Mathematics"
} |
4*w - 29. Let m(a) = 7*s(a) - 5*v(a). Is 9 a factor of m(z)?
False
Let s = -84 - -90. Let f be 64/(-6) + 5 + 4/s. Let r(p) = -26*p - 25. Is r(f) a multiple of 21?
True
Suppose 5*f - 35174 = 3*y, -y + 3*y = 4. Is 86 a factor of f?
False
Let a be (-10)/(-75) - 1352/15. Let p be (a - 0)*(-1)/4*6. Let y = p - 49. Does 4 d... | {
"pile_set_name": "DM Mathematics"
} |
9 less than 0.28979557?
9.28979557
-2727 - 278.30425
-3005.30425
Add together 1.579 and 21711.
21712.579
What is the distance between -0.049 and -15.241795?
15.192795
Work out -82 - -142121.
142039
Work out -603.461 + 24796.
24192.539
Add together -114 and 127785.
127671
What is -0.419192707 + -1?
-1.419192707
Sum 0.1 ... | {
"pile_set_name": "DM Mathematics"
} |
-5). Solve 0 = 2*i + a - 0 for i.
-4
Let p = 7146 + -7086. Solve -18*s = -30*s - p for s.
-5
Let x = 1316 + -1310. Solve 0 = x*j + 3*j + 45 for j.
-5
Suppose -3*u - 1230 = -9*u. Let v = u + -201. Solve 2*p = v*p for p.
0
Let f(l) = 15*l**2 + 90*l + 2. Let k(n) = 3*n**3 + 15*n**2 + 2*n + 4. Let m be k(-5). Let c be f(m)... | {
"pile_set_name": "DM Mathematics"
} |
1, w: 3, r: 10}.
1/60
Two letters picked without replacement from {n: 3, f: 6, l: 1, i: 9}. What is prob of picking 2 n?
1/57
Two letters picked without replacement from {x: 1, t: 2}. Give prob of picking 1 x and 1 t.
2/3
Four letters picked without replacement from ellelefelelfl. Give prob of picking 1 e and 3 l.
20/... | {
"pile_set_name": "DM Mathematics"
} |
1200590*p**2 - 180176443216*p + 180177643808.
-2*(p - 1)*(p + 300148)**2
Determine a, given that a**2 + 12497*a + 49972 = 0.
-12493, -4
Determine w so that -5976*w**2 + 71764*w - 624 = 0.
13/1494, 12
Factor b**5/2 + 385*b**4 + 149753*b**3/2 + 293378*b**2.
b**2*(b + 4)*(b + 383)**2/2
Let 3*t**4 - 45*t**3 - 576*t**2 - 1... | {
"pile_set_name": "DM Mathematics"
} |
Let t be 0/(g + -4 + -3). Solve -s - 4*s = t for s.
0
Let w = -12 + 17. Suppose -3*v = -1 - w. Let u(d) = d**2 - 2*d + 3. Let p be u(2). Solve p*m = -10 - v for m.
-4
Let z(f) = f**3 - 3*f**2 + f + 2. Let h be z(3). Suppose 2*s + 14 = -h*j, 2*s - 3*s + 4*j = -19. Suppose 4*a + a = 0. Solve a*q = s*q for q.
0
Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
List the prime factors of 1406539.
1406539
What are the prime factors of 2070798?
2, 3, 345133
List the prime factors of 6935124.
2, 3, 7, 82561
What are the prime factors of 2161138?
2, 7, 29, 5323
What are the prime factors of 1129860?
2, 3, 5, 6277
What are the prime factors of 13069?
7, 1867
What are the prime fac... | {
"pile_set_name": "DM Mathematics"
} |
**(-4/7))**(-3/14)*((x/((((x*x*(x*x**(-2/3)/x)/x)/x)/x)/x))/x)**(13/2)/(x**(1/4)/(x*(x/(x/((x*(x**(-1)/x)/x)/x)*x))/x)) assuming x is positive.
x**(7513/588)
Simplify a**(-1)/((a/(a*a/((a**(-8)/a)/a)*a)*a)/a)*(a/(a*a**(2/5))*a)/a**(-7) assuming a is positive.
a**(93/5)
Simplify ((o*o**(1/3))**10)**(1/13)*(o**5*o/(o*o*o... | {
"pile_set_name": "DM Mathematics"
} |
c*a(g) + v*j(g).
-g - 1
Let w(b) = b + 4. Suppose -20 = -4*j - 4. Let u(n) = -j + 0 + 3 + 2. Let k(y) = 1228*y - 7370. Let q be k(6). Give q*w(s) + 6*u(s).
-2*s - 2
Let c(z) = 8*z**2 - 3*z + 1. Let i(w) be the second derivative of 3*w**4/4 - w**3/3 + w**2/2 - 124*w. What is 4*c(r) - 5*i(r)?
-13*r**2 - 2*r - 1
Let k(n) ... | {
"pile_set_name": "DM Mathematics"
} |
se v(z) = 0. What is z?
-1, 0
Let r(y) be the second derivative of -y**7/1260 + y**6/360 - y**5/360 - 3*y**2/2 + 15*y. Let q(j) be the first derivative of r(j). Factor q(z).
-z**2*(z - 1)**2/6
Let q(g) = g**3 - g + 1. Suppose h + 3*h - 4 = 0, 5*w = 2*h + 18. Let f(t) = -12*t**2 - 16*t. Let k(v) = w*q(v) - f(v). Suppose... | {
"pile_set_name": "DM Mathematics"
} |
r = -14 - -16. Calculate the greatest common divisor of r and i.
1
Let m(f) = -f**3 - f**2. Let i(o) = 3*o**3 + 2*o**2 + 2*o + 16. Let b(j) = i(j) + 2*m(j). Let g be b(0). What is the greatest common factor of g and 112?
16
Suppose 0 = 15*s - 14*s - 208. Calculate the highest common divisor of 26 and s.
26
Let s = 31 -... | {
"pile_set_name": "DM Mathematics"
} |
4/3)*i)/(i**(2/51)/i))/(i**12*i*i/i**(6/5)) assuming i is positive.
i**(-2849/255)
Simplify (s*s**20*s*(s**(-2/19)/s*s)/s)**(-2/35) assuming s is positive.
s**(-794/665)
Simplify ((y*y/(y/(y**11/y)))/(y/(y*(y/y**(-3))/y)*y))/(y**(2/19)*y/(y/y**(-4))*y) assuming y is positive.
y**(302/19)
Simplify (((f/((f/f**17)/f))/f)... | {
"pile_set_name": "DM Mathematics"
} |
ded by -5567
-224/5567
What is 3136 divided by 16?
196
Divide 339647 by -7.
-48521
Calculate 1340312 divided by -335078.
-4
Calculate -3899 divided by 35.
-557/5
-757 divided by 183
-757/183
Calculate -557928 divided by 4.
-139482
-5 divided by -1143
5/1143
What is -354 divided by -9113?
354/9113
-1957500 divided by -1... | {
"pile_set_name": "DM Mathematics"
} |
3 + -0.7. Let q = -0.99 - -0.89. Which is the closest to q? (a) -0.1 (b) -4/5 (c) v
a
Let g be (-1)/(9/34) - -4. Let b = 4.6 + 0.4. Let r = 0 - 0.1. What is the nearest to r in -3, b, g?
g
Let n be (-3)/(-15) + 3/(-3). Let v = -0.22 - -0.22. What is the closest to -2/7 in n, 1/4, v?
v
Let j = -3 + 2. Let p = -1.5 + ... | {
"pile_set_name": "DM Mathematics"
} |
ime factors of (-3)/((-154)/51 + 3)?
3, 17
Let h(z) = -z**3 - 2*z**2 + 2*z + 2. Let s be h(2). What are the prime factors of (-4)/s - 369/(-15)?
5
Suppose -2*b = 8, -2*c + 5*b - 31 = -3*c. What are the prime factors of c?
3, 17
Let w = 1 + -45. Let j = -24 - w. What are the prime factors of j?
2, 5
Let c = 12 + -10. Su... | {
"pile_set_name": "DM Mathematics"
} |
10/55980117
What is 3747 divided by 58082?
3747/58082
Calculate 141995 divided by 1544.
141995/1544
What is 45 divided by 220731?
15/73577
-613 divided by 34966
-613/34966
What is 74275112 divided by -6269?
-11848
Calculate -4940001600 divided by 2.
-2470000800
47126789 divided by 181
260369
10224 divided by 22205
1022... | {
"pile_set_name": "DM Mathematics"
} |
- 17 - d = 0 for k.
-4
Let u(l) = l**2 - 7*l + 2. Let g be u(8). Solve -5*y + g = -0 for y.
2
Let x = -116 - -119. Solve -4 = -x*u + 2*u for u.
4
Suppose 0*u - 8 = 2*u. Let g be (-711)/(-63) + u/14. Let n(q) = -2*q - 1. Let a be n(-2). Solve -4*t = g - a for t.
-2
Let b be ((-16)/(-8))/((-1)/(-2)). Let c(l) = l**3 - 3*... | {
"pile_set_name": "DM Mathematics"
} |
o + 40*o - 3*o**3 + 47*o + 8*o**3.
5*o**3
Collect the terms in 3454234 - 3454234 + 4*n**2.
4*n**2
Collect the terms in -784*m - 806*m + 1587*m.
-3*m
Collect the terms in -20*d**2 + 0*d**2 + 37*d**2.
17*d**2
Collect the terms in 5*i - 343*i**2 - 3*i + 0*i - i.
-343*i**2 + i
Collect the terms in 392*l**2 + 363*l**2 + 373... | {
"pile_set_name": "DM Mathematics"
} |
tor of p(r)?
True
Let v = 4261 + -1677. Is 19 a factor of v?
True
Let b(r) be the first derivative of r**3/3 - 7*r**2/2 + 3*r - 13. Let d be b(6). Is 14 a factor of (-134)/(-10) + ((-27)/15)/d?
True
Let f(l) = 2*l**2 - 127*l - 138. Is 12 a factor of f(67)?
False
Suppose 6*l - 2*n - 230 = 2*l, 4*l - 5*n - 227 = 0. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
+ 1)*(3*g + 1)
Let c(x) be the third derivative of x**7/1260 + x**6/720 - x**5/20 - 13*x**4/36 - 10*x**3/9 - 219*x**2. Factor c(a).
(a - 5)*(a + 2)**3/6
Suppose -2*l - 3*j + 4 = 0, 2*l - 10 = -3*l + 3*j. Let c(w) be the first derivative of 3 - w**l - 1/3*w**3 + 0*w. Solve c(b) = 0 for b.
-2, 0
Let 2/7*p**5 + 2/7*p**4 -... | {
"pile_set_name": "DM Mathematics"
} |
-0.4 (c) v
c
Let j be (-2)/(3/12*-2). Let x = 42.1 + -42. Which is the closest to -0.02? (a) -0.5 (b) x (c) j
b
Let t = -0.25 + 0.35. Which is the nearest to -0.3? (a) -2 (b) 5 (c) t
c
Let d = -2 - 4. Which is the closest to -0.1? (a) d (b) 0.3 (c) -3
b
Let u = 2.1 - 2. Let h = -55 - -54. Which is the closest... | {
"pile_set_name": "DM Mathematics"
} |
0897/6
Which is greater: -3082858 or -3082860?
-3082858
Which is greater: -8/719329273 or 1?
1
Is -15/2 > 16262.7?
False
Which is greater: 3134914 or 3134900?
3134914
Which is greater: 10722938 or 10722974?
10722974
Which is bigger: 22 or -3944217?
22
Is 19308963 less than 19308963?
False
Which is bigger: 405785142/13 ... | {
"pile_set_name": "DM Mathematics"
} |
1235
What is the tenth root of 17262473 to the nearest integer?
5
What is 2792219 to the power of 1/7, to the nearest integer?
8
What is the cube root of 24624532 to the nearest integer?
291
What is 71805 to the power of 1/4, to the nearest integer?
16
What is the third root of 2426116 to the nearest integer?
134
What... | {
"pile_set_name": "DM Mathematics"
} |
- 13*y + 4. Let k be l(13). Solve k*g + 3 + 1 = 0 for g.
-1
Suppose -4*b + 3*u + 7 = -11, b - 8 = -u. Solve -w - w = -b for w.
3
Let z be 1/1 + -3 + 2. Suppose 0*t + t = -10. Let m = t + 15. Solve -m*x + 0 - 15 = z for x.
-3
Suppose -j - 2*j - 35 = -b, 3*j + 29 = -2*b. Let h = 13 + j. Solve 0 = 4*d - 5*d + h for d.
2
S... | {
"pile_set_name": "DM Mathematics"
} |
Let w(f) = y*n(f) - 6*j(f). What is the derivative of w(k) wrt k?
226
Suppose 4*o = 2*o + 4. Suppose 255 = -6*y + 267. What is the first derivative of -50*n + 5 + 50*n - 5*n**2 - o*n**y wrt n?
-14*n
Let o(r) = r**2 - 7*r - 4. Let n be o(8). What is the second derivative of -1 - 60*y**4 - 179*y - 26*y**n + 173*y wrt y?
... | {
"pile_set_name": "DM Mathematics"
} |
a**4 as t + i*a + k*a**2 + n*a**4 + z*a**3 and give i.
0
Express 21*z**3 + 44*z**3 - 44*z**3 + (-3*z + z + z)*(-3*z + 3*z - z**2) in the form v + x*z**3 + g*z**2 + j*z and give x.
22
Rearrange -3*b**3 + 2*b**3 - 3*b + 4*b + 2*b**4 - 1 to the form g*b + j + p*b**3 + l*b**2 + i*b**4 and give g.
1
Express -5 + 2 + 69*s**2... | {
"pile_set_name": "DM Mathematics"
} |
or a.
4
Let t be (-14)/(-3)*12/8. Suppose -2*x - 12 = -4*x. Let d be (t/(-14))/((-1)/x). Solve -3*r = -f + 10, -d*f - 14 = -2*r + 4*r for r.
-4
Let r(a) = -4*a**3 - 4*a**2 - 2*a + 1. Let c be r(-1). Solve 9 - 27 = -5*t - 3*q, -t = -c*q for t.
3
Let r(n) = -n**3 + 5*n**2 + 10*n - 6. Let l be r(4). Suppose 0 = 6*x - l + ... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 383. Find l such that u(l) = 0.
0, 1, 6
Let w be 2 + (348/(-48) - -6). Factor 3/4*q + w*q**2 + 0.
3*q*(q + 1)/4
Let w(z) be the second derivative of -z**6/720 - z**5/180 + z**4/48 - 4*z**2 - 10*z. Let o(a) be the first derivative of w(a). Factor o(p).
-p*(p - 1)*(p + 3)/6
Let b be 1 - (0 + 2 - 2). Suppose -v + b =... | {
"pile_set_name": "DM Mathematics"
} |
2 + 362659?
362467
In base 9, what is 44470814 - -4?
44470818
In base 2, what is -101 - 1100100100000111110010010?
-1100100100000111110010111
In base 6, what is -31414 + -21005?
-52423
In base 6, what is -403 + 3002425?
3002022
In base 11, what is -3 + -a0a264?
-a0a267
In base 14, what is 3 - 78625d?
-78625a
In base 2,... | {
"pile_set_name": "DM Mathematics"
} |
ve of f**5/30 + 2*f**4/3 + 8125*f**2. Let u(n) = 65*n. What is c(u(o))?
8450*o**2 + 1040*o
Let x(y) be the third derivative of -11/24*y**4 - 134*y**2 + 0*y**3 + 0*y + 0. Let q(t) = -6*t. Calculate q(x(g)).
66*g
Let i(n) = -236*n. Let t(x) = -44*x. Let v(z) = 3*i(z) - 16*t(z). Let g(y) = -553*y. Determine g(v(p)).
2212*... | {
"pile_set_name": "DM Mathematics"
} |
d derivative of o(p) wrt p.
72
Let m(n) be the second derivative of 13/2*n**2 - n**3 + 0 - 24*n. What is the derivative of m(l) wrt l?
-6
Let r(h) = -h**3 + h**2. Let f(p) = -7*p**3 - 160*p**2 + 25*p - 3. Let i(l) = -f(l) + 5*r(l). What is the second derivative of i(z) wrt z?
12*z + 330
Suppose 4*g - 5 = 15. Suppose -2... | {
"pile_set_name": "DM Mathematics"
} |
w(y) = y + 1. Let n(z) = 2*z. Let p(m) = -n(m) + 3*w(m). Let h be p(-7). Let o be 56/24 + (1 - 2). Which is the smallest value? (a) o (b) 1 (c) h
c
Let k(h) = h**2 + 6*h - 50. Let r be k(5). What is the biggest value in r, -2/27, 0, -5?
r
Let t = 113.3 - 113. Let y = 75 - 78.1. Let k = y - -3. Which is the third sm... | {
"pile_set_name": "DM Mathematics"
} |
, 0 = -j - 3*i + 45. Let t = j + g. Is t a multiple of 7?
False
Let u(m) = 2*m**3 + 7*m**2 - 5*m + 1. Let c be u(4). Suppose -g = -4*s - 61, 6*g - c = g - s. Does 11 divide g?
False
Let z(u) = -2*u**3 - 5*u**2 + u + 5. Let q be 4/16 + 17/(-4). Let d be z(q). Suppose -b + 1 + 31 = -3*m, -2*b + 3*m = -d. Is b a multiple ... | {
"pile_set_name": "DM Mathematics"
} |
e
Suppose 2*k - 2*a - 2 = -0*a, 4*k - 18 = -3*a. Suppose 8*c - 143 - 81 = 0. Suppose 0 = 3*y - 4*x - 28, k*x = 2*y + 5*x - c. Is y a multiple of 9?
False
Let i(n) = -n**3 - n**2 - n - 7. Does 6 divide i(-5)?
False
Suppose -3*z - m = -367, -4*m - 11 - 120 = -z. Is 37 a factor of z?
False
Let q(r) = 145*r**3 + r. Is q(1)... | {
"pile_set_name": "DM Mathematics"
} |
(d) = d**2 - 4*d - 8. Let f be p(6). Suppose -6*k = -2*k - f. Solve o - 4 = -k for o.
3
Let q be 2/(-8) - 10/(-8). Let h = -9 - -3. Let w be (0 - 1) + (-18)/h. Solve -q = -w*l - 5 for l.
-2
Let v = 1 + -18. Let u = -11 - v. Solve -4*f + u*f + 8 = 0 for f.
-4
Suppose 7*c = 10*c. Let d(n) = n + 2. Let f be d(c). Solve f*... | {
"pile_set_name": "DM Mathematics"
} |
undreds digit of 1060648688?
6
What is the units digit of 965957152?
2
What is the millions digit of 6979664953?
9
What is the hundred millions digit of 485183999?
4
What is the billions digit of 5183933380?
5
What is the units digit of 636193085?
5
What is the tens digit of 1224247215?
1
What is the hundred thousands ... | {
"pile_set_name": "DM Mathematics"
} |
w*w**0)**(-1/62)*(w**(-2/5)*w)/(w*w*w**(-6))) assuming w is positive.
w**(-52189/465)
Simplify (l/(l*l*l*l/(l/(l*l**(2/3)))*l*l)*l**39*(l*l**(3/8)*l)**(-13))**(2/27) assuming l is positive.
l**(59/324)
Simplify (l**(-5)*(l**(-1)/l)/l)**(-23)/(l**(-3)/(((l*l**5)/l)/l)*(l*l**(-1))**(3/32)) assuming l is positive.
l**191
... | {
"pile_set_name": "DM Mathematics"
} |
i))/i*i*i**(-6/5)))**(-11) assuming i is positive.
i**(-407/5)
Simplify (c**(3/2))**(-31)*c**(-2/19)*c/(c*c**(2/13)) assuming c is positive.
c**(-23099/494)
Simplify c/c**(-13)*c/((c*(c/(c*c**(-2/69)*c))/c*c)/c)*(c/((((c/(c**(-11)/c))/c*c)/c)/c*c))**26 assuming c is positive.
c**(-18632/69)
Simplify (r**14*r/(r/(r/(r/(... | {
"pile_set_name": "DM Mathematics"
} |
-2*i - 2
Let l(k) = k + 4. Suppose -2*a - 3*b - 2*b = 6, -3*b = 4*a - 16. Let m(d) = -d - 5. Suppose -c - 12 = -3*c. Determine a*l(z) + c*m(z).
z - 2
Let d(w) = 3*w**3 + 2*w**2 + 2*w. Let l(i) = 16*i**3 + 9*i**2 + 11*i. Suppose -2*x - 2 = 0, 86*x + 5 = -a + 85*x. Calculate a*l(z) + 22*d(z).
2*z**3 + 8*z**2
Let s(h) = -... | {
"pile_set_name": "DM Mathematics"
} |
4158?
-3*o**2 - 35675*o
What is the i'th term of 9500, 9498, 9496, 9494?
-2*i + 9502
What is the k'th term of 967, 964, 955, 940?
-3*k**2 + 6*k + 964
What is the y'th term of -231750, -463495, -695238, -926979, -1158718, -1390455?
y**2 - 231748*y - 3
What is the u'th term of 41, 27, -15, -85?
-14*u**2 + 28*u + 27
What ... | {
"pile_set_name": "DM Mathematics"
} |
e 6) in base 13?
347c9
Convert -17ba64 (base 12) to base 14.
-ab0ba
What is 1d6ad (base 16) in base 6?
2325501
Convert -10578a (base 11) to base 4.
-221023023
5d7313 (base 14) to base 13
884436
What is 10cd1 (base 14) in base 15?
c201
What is 883504 (base 10) in base 13?
24c1ab
-aa154 (base 12) to base 13
-7b460
What i... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*k + 2*k) + 5*k**2 + k**2 - 4*k**2 - k**2 + 2*k - 2*k + 5*k**2 - 5*k**2 + k**2).
-12*k**3
Expand (-920*f + 71*f**3 + 920*f)*(-10 - 7 - 2*f + 0*f + 0*f).
-142*f**4 - 1207*f**3
Expand (2 - 2*y - 2 + 3)*(-8*y - 6*y + 3*y + (12 - 5 + 9)*(3*y - 2*y - 2*y)).
54*y**2 - 81*y
Expand y + 3*y - 2*y + (-3*y + 2*y + 2*y)*(-4 + ... | {
"pile_set_name": "DM Mathematics"
} |
e of 49 and 17514.
122598
What is the least common multiple of 32768 and 46?
753664
Calculate the common denominator of 19/128184 and 39/213640.
640920
Calculate the smallest common multiple of 89316 and 56236.
1518372
Calculate the smallest common multiple of 9 and 8366.
75294
Calculate the common denominator of 105/2... | {
"pile_set_name": "DM Mathematics"
} |
decimal places?
11
What is 7555812 rounded to the nearest one million?
8000000
What is -460945 rounded to the nearest one hundred thousand?
-500000
What is -1652.88 rounded to the nearest 10?
-1650
Round 0.00000073366 to seven decimal places.
0.0000007
Round -1191.494 to the nearest 10.
-1190
What is -0.0000019553 roun... | {
"pile_set_name": "DM Mathematics"
} |
alculate the remainder when d is divided by h.
16
Let h(s) = 78*s**2 - 3*s + 2. Calculate the remainder when h(1) is divided by 27.
23
Suppose 5*a - 10 = 0, 2*a + 2*a = k - 3. Calculate the remainder when 42 is divided by k.
9
Suppose -4*t - t + 65 = 0. Calculate the remainder when 25 is divided by t.
12
Let q = -17 + ... | {
"pile_set_name": "DM Mathematics"
} |
.
o**3 - 3*o**2 + 2
Let c(x) = 13*x + 4. Let d(a) = -12*a - 8*a - 6*a + 27*a - 5 - 13*a. Determine 4*c(b) + 3*d(b).
16*b + 1
Let j(l) be the second derivative of -l**4/12 + 2*l + 690. Let x(o) = -6*o**2. Give 45*j(a) - 6*x(a).
-9*a**2
Suppose 0*d - 4*j = d + 14, -3*d = 2*j + 2. Let w(o) = 0 - 2 - 416*o + 1 - o**d + 417... | {
"pile_set_name": "DM Mathematics"
} |
3*b - 5*u - 78 = -u, 7 = -b + 5*u. What are the prime factors of (-1 - (-1)/2)*b?
11
Suppose g + 6 = 3*g. Suppose g*t - 72 + 23 = 4*z, -4*t = -3*z - 77. What are the prime factors of t?
23
Let s = 4 - -1. Suppose -s*u - 12 = -3*u. Let z = u - -12. List the prime factors of z.
2, 3
Let i(g) = -g + 61. What are the prime... | {
"pile_set_name": "DM Mathematics"
} |
+ -5131. What are the prime factors of o?
2, 3, 43
Let b be (-54)/(-36)*(-8)/(-6)*2. Suppose -2*d = 4*c - 450, 9*c = -b*d + 6*c + 880. List the prime factors of d.
7, 31
Let y(i) = -639*i + 6171. What are the prime factors of y(-18)?
3, 43, 137
List the prime factors of 7 + 12 + -11 + 27346.
2, 3, 47, 97
Suppose -25*f ... | {
"pile_set_name": "DM Mathematics"
} |
2*v - 9*v. What is the tens digit of h(-5)?
3
Let k = 10 + 6. What is the units digit of k?
6
Suppose t = -0*t + 58. What is the units digit of t?
8
Let t = -5 - -10. Suppose -t*z + 37 = -33. What is the tens digit of z?
1
Let j = -2 + 0. What is the units digit of (j/(-3))/(1/6)?
4
Suppose -3*z + 355 = 4*j - 78, 741 =... | {
"pile_set_name": "DM Mathematics"
} |
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