text stringlengths 270 8.19k | meta dict |
|---|---|
7?
True
Is 30 a factor of 228697?
False
Does 19 divide 865946?
False
Is 883599 a multiple of 171?
False
Does 18 divide 100690?
False
Is 326 a factor of 1911979?
False
Is 244662 a multiple of 43?
False
Does 6 divide 222336?
True
Is 13374848 a multiple of 128?
True
Is 48 a factor of 653493?
False
Is 202 a factor of 14101... | {
"pile_set_name": "DM Mathematics"
} |
st the prime factors of 106/k + 4/(-6).
17
Let m = -89 + 94. Suppose 5*q + m = 5*y + 30, 3*q + 34 = -4*y. List the prime factors of 2/y + 0 - 1480/(-35).
2, 3, 7
Let h be 16/4 + (-4)/1. Suppose -70 = -l - l + o, h = 4*o. Let v = 12 + l. What are the prime factors of v?
47
Let a = -46 + 46. Suppose -2*t + a*l = -l + 4, ... | {
"pile_set_name": "DM Mathematics"
} |
nder when t is divided by 43?
40
Let n(s) = 2*s**3 - 37*s**2 + 97*s - 201. Let m = -49 + 74. What is the remainder when n(16) is divided by m?
21
Suppose -2015 = -5*p - 5*l, p - 283 = 5*l + 102. Calculate the remainder when p is divided by 26.
10
Let b(t) = -t**3 - 13*t**2 + 4*t + 96. Suppose -4*g = -41*g - 481. Calcul... | {
"pile_set_name": "DM Mathematics"
} |
d(q) = 9*h(q) + 4*t(q). Differentiate d(j) wrt j.
-6
Let w(r) be the second derivative of -3*r**5/10 - 5*r**4/12 - r. Find the third derivative of w(y) wrt y.
-36
Let s = -3 - -5. What is the third derivative of 2 - 4*p**s - 2 + p**5 + p**2 wrt p?
60*p**2
Let n(t) be the third derivative of -31*t**7/210 + 19*t**4/24 - ... | {
"pile_set_name": "DM Mathematics"
} |
t q be (-6)/((-81)/(-9)*(-1)/(-6)). Let d = -0.01 + -0.01. Let k = d + -4.98. What is the third biggest value in q, 0.3, k?
k
Let f = 0.2 + 0. Let w = 2315 - 2316. Which is the smallest value? (a) -3/2 (b) w (c) f (d) 1
a
Let p = -13 - -3. Let y = p + 9.64. Let k = y + 0.06. What is the third smallest value in -2, ... | {
"pile_set_name": "DM Mathematics"
} |
- 4*q**3 + 20*q**3 + 831 - 4*q**3.
2*q**3 + 831
Collect the terms in 180*b**2 + 45*b**2 - 73*b**2.
152*b**2
Collect the terms in -4*i**2 - 2*i**3 + 16*i**2 - 22*i**2.
-2*i**3 - 10*i**2
Collect the terms in 10*y**2 - 13*y**2 + 3135*y**3 + 3*y**2.
3135*y**3
Collect the terms in -38*y**3 - 74*y - 11*y**3 - 68*y + 141*y + ... | {
"pile_set_name": "DM Mathematics"
} |
. Let d(i) = 2*i - 15. Let k be d(11). Let t = -5 + k. Let z(o) = -6*o + 2*o + o + t*o. Give z(a(g)).
-3*g
Let y(p) = -19327*p. Let c(l) = -17*l**2. Calculate c(y(h)).
-6350059793*h**2
Suppose 4*y = 5*f + 2*y - 12, -f - 2*y = 0. Let n(b) = 0*b**2 + 4*b**f - 6*b**2 + 4*b**2. Let m(a) = -4*a**2 - 3. What is m(n(q))?
-16*... | {
"pile_set_name": "DM Mathematics"
} |
191*m**2 + 349*m**2 - 155*m**2 + 2. Let h(q) = -2*q + 3*q - 1 - q**2 - 2*q. Determine z*f(x) + 2*h(x).
x**2
Let u(p) = p + 19. Let f(h) = -4*h + 343. Calculate f(v) + 3*u(v).
-v + 400
Let p(o) = -4*o + 1. Let r(b) = -23*b + 2. Let h(v) = -11*v + 1. Let z(s) = -9*h(s) + 4*r(s). Let f = 297 + -291. Determine f*z(d) + 11... | {
"pile_set_name": "DM Mathematics"
} |
iggest value in -2, 24, 20, 1?
20
What is the second smallest value in 8, -3.4, -1?
-1
What is the second smallest value in -86, -23, -3, 0.1, 1/2?
-23
Which is the third biggest value? (a) -0.7 (b) -9/8 (c) -0.1
b
Which is the fourth biggest value? (a) -1/5 (b) 8 (c) 1/7 (d) 2
a
Which is the fifth smallest valu... | {
"pile_set_name": "DM Mathematics"
} |
d) 2
c
Let t(j) = 2*j**3 + 16*j**2 + 4. Let o be t(-8). Suppose 7*k = o*k - 9. Which is the smallest value? (a) -0.4 (b) k (c) -1
b
Let p = 16.24 + -16.04. What is the second biggest value in 3, -0.04, -2, p?
p
Let h = -436/3 + 146. Which is the fourth biggest value? (a) h (b) 149 (c) -0.4 (d) 4
c
Let z be 10/6 ... | {
"pile_set_name": "DM Mathematics"
} |
ve of a**3*m**2 - 7*a**3*m - 69*a**2*m - 88742*a*m**3 + 3*a + 4*m**2 + 1 wrt m.
2*a**3 - 532452*a*m + 8
What is the second derivative of -283116689*m**2 + 194470858*m wrt m?
-566233378
Find the second derivative of -5674486*i**5 - 7139526*i.
-113489720*i**3
Find the first derivative of 7583673*m*v**3 + 56*m + v**3 + 50... | {
"pile_set_name": "DM Mathematics"
} |
y + n*w - 2 for y.
0
Suppose 0 = 18*a + 20*a - 190. Let j(y) = y**2 - 8*y + 6. Let q be j(8). Suppose 9*w = q*w. Solve w = 5*u - 3*f - 10, 4*f = a*u - 0 - 10 for u.
2
Let t be (-7 - -1) + (27 - 41 - -20). Let a(s) = -s - 3. Let d be a(-3). Solve t*u - i + 2 = u, d = i - 1 for u.
1
Let g(f) = -4*f + 33. Let l be g(7). S... | {
"pile_set_name": "DM Mathematics"
} |
+ 10. Let b(k) = -26*k**3 + 6*k**2 + 38*k - 8. Let r(h) = 5*b(h) + 6*q(h). Let s(v) = v**3 - v + 1. Calculate r(i) - 20*s(i).
12*i**3
Let f(b) = 13*b**2 - 18*b - 1. Let o(h) = 7*h**2. Determine -f(d) + o(d).
-6*d**2 + 18*d + 1
Let j(q) = -2*q**3 - 4*q. Let d(k) = -4*k. Let y(s) = 3*s. Let n(m) = -4*d(m) - 5*y(m). Deter... | {
"pile_set_name": "DM Mathematics"
} |
r) = r. Give t(c(k)).
k**2
Let u(i) = 2*i. Let q(t) = -8*t**2 + 103. What is u(q(f))?
-16*f**2 + 206
Let w(c) = -c. Let o(h) = 7 + 4*h - 7 - 5*h. Calculate w(o(l)).
l
Let k(l) be the second derivative of 2*l + 0*l**2 - 1/6*l**3 + 0. Let g(p) be the second derivative of p**3/6 + p. Calculate k(g(d)).
-d
Let z(b) = -2*b*... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of 8 + 0*j**7 + 1/2*j**3 + 0*j**5 + 0*j**6 - 3/56*j**8 + 1/12*j**4 + 0*j + 2*j**2. What is the second derivative of s(o) wrt o?
-360*o**3
Let y be (2 + 147/(-35))*-5. Find the third derivative of t - t**6 - 11*t**4 - y*t**4 - 13*t**2 + 0*t + 46*t**4 wrt t.
-120*t**3 + 576*t
Let w(c) = -c**2 - 42*c - 16... | {
"pile_set_name": "DM Mathematics"
} |
.
-12*x**2
Suppose 0*r = -7*r + 42. Let l(q) be the first derivative of 2 + 0*q + 1/6*q**r - q**3 + 0*q**4 + 0*q**2 + 0*q**5. What is the third derivative of l(c) wrt c?
60*c**2
Find the second derivative of -1674*s + 7*s**4 + 5*s**4 + 1673*s wrt s.
144*s**2
Let p(k) be the first derivative of k**5/10 - 3*k**2/2 - k - ... | {
"pile_set_name": "DM Mathematics"
} |
s in -20*p**3 + 10*p**3 + 66*p**3.
56*p**3
Collect the terms in 68*d**2 + 5 - 5 + 11648*d - 11648*d.
68*d**2
Collect the terms in -9 + 8 - 2*y + 20 - 4*y.
-6*y + 19
Collect the terms in 32*n**2 + 33*n**2 + 35*n**2 - 100*n**2 + 72*n**3.
72*n**3
Collect the terms in -2 + 747*l**2 + 2*l - 693*l**2 + 1362*l**2 + 4.
1416*l*... | {
"pile_set_name": "DM Mathematics"
} |
68. Put p, 1/7, -3, 0 in decreasing order.
p, 1/7, 0, -3
Let q(f) = 34*f + 5. Let b be q(0). Sort 34, b, 4.
4, b, 34
Suppose -92 = t - 5*t. Let a = t - 19. Put a, 26, 1 in ascending order.
1, a, 26
Let s be (-3)/6 + 13/26. Let b(u) = u**3 - 3*u**2 + 3. Let c be b(3). Suppose 4*z + 4 = -0*z. Sort c, z, s.
z, s, c
Let a ... | {
"pile_set_name": "DM Mathematics"
} |
/3, -226.26?
-226.26
What is the fourth biggest value in -1, 2, 0.0224, 5, -1/2, 8?
0.0224
What is the smallest value in 0, -0.5, 18, -60, 2/9?
-60
Which is the biggest value? (a) -4/3 (b) 930 (c) 20 (d) 1/3
b
What is the smallest value in -23.98, -1/12, 0.5?
-23.98
Which is the third smallest value? (a) 27.9 (b)... | {
"pile_set_name": "DM Mathematics"
} |
d.
0
Solve 0 = 3*b - z + 32, -5*z + 2 = 7 for b.
-11
Solve 5*k + 9 = 3*r, 90*k - 3*r - 18 = 94*k for k.
-3
Solve 3*q - 30 = -l - 4, 4*q = -3*l + 33 for l.
-1
Solve 7*u - 4*a + 18 = 0, 5*u + 3*u = a - 17 for u.
-2
Solve l = -3*a + 166 - 170, 5*a + 30 = 3*l for l.
5
Solve l - 4*m = 27, -3*l + 1134*m - 1133*m = -26 for l.... | {
"pile_set_name": "DM Mathematics"
} |
((-8)/(-84)). Suppose 4*p + q = 7*p. What is the highest common divisor of s and p?
14
Let u = -6734 - -6741. Calculate the greatest common divisor of 497 and u.
7
Let o be 1406 - ((3 - -3) + (-14)/2). Calculate the greatest common divisor of o and 63.
21
Suppose 4*l + 253 = 4*h - 491, 0 = -4*l - 16. Calculate the grea... | {
"pile_set_name": "DM Mathematics"
} |
is 1662 take away 1?
1661
-9 - 20.3
-29.3
Add 66 and -7.7.
58.3
What is -1 - 43921?
-43922
Subtract -0.005 from -41.
-40.995
What is the difference between 4 and 4856?
4852
5+-0.75
4.25
What is -138151 - -4?
-138147
What is 26 + -0.21?
25.79
What is the distance between 5 and 419881?
419876
27162.1 + 0.2
27162.3
What ... | {
"pile_set_name": "DM Mathematics"
} |
four dps.
-0.0074
What is 42.99061 rounded to two dps?
42.99
What is 0.0003374259 rounded to 4 decimal places?
0.0003
What is -1.479711 rounded to three dps?
-1.48
Round -85.78305 to two dps.
-85.78
Round 0.00028591066 to seven dps.
0.0002859
Round -2476.141 to the nearest 1000.
-2000
Round -0.0211539 to 3 dps.
-0.021
... | {
"pile_set_name": "DM Mathematics"
} |
t(176)).
-sqrt(11) + 1585
Simplify (sqrt(99) + (sqrt(99) - (0 + sqrt(99))) + -5 + 1*(sqrt(99) - sqrt(99)*-2) + sqrt(99))**2.
-150*sqrt(11) + 2500
Simplify (sqrt(2) - sqrt(8)/sqrt(4))*3*3.
0
Simplify -2 + (sqrt(13) + sqrt(52) + -4 + 2)*1.
-4 + 3*sqrt(13)
Simplify -5*(sqrt(17) - 1*(sqrt(17) + 1)).
5
Simplify 4 + sqrt(36)... | {
"pile_set_name": "DM Mathematics"
} |
- 0.11. Let q = -2.7 + y. What is the smallest value in q, -0.1, -5?
-5
Let z be (3/((-24)/(-16)))/(7/(-2)). Let k = -0.3 + 4.3. What is the smallest value in k, z, -3/5?
-3/5
Let v be (-1 + 3 + -2)/1. Suppose -t = -v*t. Let p be (5 - (-234)/(-42))*(-7)/6. What is the second biggest value in t, p, 4?
p
Let r = -0.1 - ... | {
"pile_set_name": "DM Mathematics"
} |
q = 3*l + 10 for l.
5
Suppose -236 + 446 = -78*u + 444. Solve o - 2*y - 2 = 0, 3*o - 6 = -u*y + y for o.
2
Let t(r) = -70*r - 3777. Let c be t(-54). Solve 4*l + 13 = -c*v - 5, -3*l = 0 for v.
-6
Suppose 0 = 2*l - l - 2. Let q(i) = i**3 - 92*i**2 + 894*i - 243. Let x be q(81). Solve 4*u + 8 = -4*n + l*u, x = n - u + 5 f... | {
"pile_set_name": "DM Mathematics"
} |
n 408589, 408587, 408585, 408583?
408581
What is the next term in -6, -63, -144, -249, -378, -531, -708?
-909
What is the next term in 69, -189, -875, -2199, -4371, -7601?
-12099
What is the next term in -4461, -8922, -13383, -17844?
-22305
What is the next term in -208, -871, -1980, -3535, -5536, -7983, -10876?
-14215... | {
"pile_set_name": "DM Mathematics"
} |
w - 4*v + 15 for w.
3
Solve -6*z + 1 = -5*z, 0 = v - 2*z + 2 for v.
0
Solve -10 = 4*l + l + 5*u, -4 = l + 3*u for l.
-1
Solve -3*s - 4*i - 7 = -2, 3*s = -5*i - 10 for s.
5
Solve 0 = l - f, 4*f - 10 = -l - 0 for l.
2
Solve 0 = 3*v - 2*h + 2, -657*v + 4 = -660*v + 4*h for v.
0
Solve 40 = 4*l - 12*f + 16*f, -5*l = 2*f - 3... | {
"pile_set_name": "DM Mathematics"
} |
(4) a multiple of 11?
False
Suppose -2*q + d + 36 = 8, 24 = q - 3*d. Is 2 a factor of q?
True
Suppose 12 = 5*v + 2*x, -v + 6 = 4*v - 4*x. Suppose 2*u + 50 = v*p, p - 40 = 5*u - 3. Does 7 divide p?
False
Suppose 0 = 3*g + 4*z + 7 + 5, 2*g + 4*z + 12 = 0. Suppose 2*c - 68 - 7 = -5*s, g = -4*s + 12. Does 16 divide c?
Fals... | {
"pile_set_name": "DM Mathematics"
} |
*a - 7. Suppose -4*f = -5*o - 85, 4*f - 2*f - 3*o = 41. Suppose -f = -4*b - 3*i - 2*i, 3*b - 4*i - 11 = 0. Determine l(b).
8
Suppose -4*v + 5 = v. Let h be (-1 - (0 + v)) + 0. Let u(f) = 0*f**2 + 3 - f**3 - 2*f - 6 - 4*f**2. Determine u(h).
-7
Let x(o) = -12*o + 7. Let c(y) = 11*y - 6. Let a(h) = 6*c(h) + 5*x(h). Let u... | {
"pile_set_name": "DM Mathematics"
} |
icked without replacement from votvvyvyyv.
1/15
Four letters picked without replacement from eeeneeeneeeeenennn. Give prob of sequence neee.
11/102
Two letters picked without replacement from {e: 1, c: 1, b: 1, z: 2}. What is prob of sequence eb?
1/20
Four letters picked without replacement from jjyjwyyyjzjyqyy. What i... | {
"pile_set_name": "DM Mathematics"
} |
f c?
False
Let x(w) = -2*w - 1. Let i be x(4). Let l = i - -25. Suppose l = v + v. Is 4 a factor of v?
True
Suppose 3*d = 5*d - k - 10, 5*d - 2*k = 24. Suppose 2*w - 16 = -d*b, -2*b - w + 12 = w. Suppose -9 = -b*s + 2*p + 31, -5*p = -s + 4. Is 8 a factor of s?
True
Let w be 8*(-1 + (-1)/(-4)). Suppose 0 = 3*x + 3*n + 3... | {
"pile_set_name": "DM Mathematics"
} |
2, d: 1, i: 1, g: 1, h: 1}. What is prob of picking 1 d and 1 e?
1/14
Three letters picked without replacement from {i: 1, p: 5, o: 1, r: 2, e: 1}. What is prob of picking 1 p, 1 o, and 1 r?
1/12
What is prob of picking 2 b and 2 m when four letters picked without replacement from {m: 3, b: 3}?
3/5
What is prob of pick... | {
"pile_set_name": "DM Mathematics"
} |
digit of f/4 + (0 - -8)?
1
Suppose 3*v + 6*v = 657. What is the tens digit of v?
7
Suppose -148 = -t + 6. What is the tens digit of t?
5
Let i be ((-27)/(-45))/((-2)/(-10)). Let b be (-3)/9*-1*9. What is the units digit of i/9 - (-5)/b?
2
Suppose 1 = q - 2*n + 3, 5*q - 2*n + 50 = 0. What is the tens digit of 7 - q/(-3... | {
"pile_set_name": "DM Mathematics"
} |
d give y.
-5014
Express (-m + 0*m - m)*(3 - 4 + 2)*(-m - 2*m - m) + (14*m**2 - 29*m**2 - 13*m**2)*(2 + 2 - 2) as p*m**2 + v + f*m and give p.
-48
Rearrange 6 + 3*s - 6 + ((3 - 2 + 0)*(2*s - 3*s - 2*s) - 13*s + 8*s + 2*s - s - 3*s + 9*s)*(-2 + 7 - 3) to the form w*s + c and give w.
1
Express 0*a + 2*a**4 - 453*a**3 + 45... | {
"pile_set_name": "DM Mathematics"
} |
rmine h so that x(h) = 0.
-314, -1, 0
Factor -162/7 - 159/7*g + 3/7*g**2.
3*(g - 54)*(g + 1)/7
Let x(f) be the third derivative of f**5/30 + 13*f**4/4 - 82*f**3/3 + 2*f**2 - 35. Factor x(u).
2*(u - 2)*(u + 41)
Let -142884/5 - 1512/5*t - 4/5*t**2 = 0. What is t?
-189
Suppose -3*a = -4*o - 1939, 4*o = 5*a - 3523 + 278. S... | {
"pile_set_name": "DM Mathematics"
} |
5*q)*(1 - 2 + 3).
24*q**2 - 2*q
Expand (-4*a - 13 + 0 + 3*a)*(-1 + 0 + 0 + (1 - 1 + 2)*(-1 + 2 - 3)).
5*a + 65
Expand 3*x**3 + x**5 - 3*x**3 + (x**3 - x**3 + 2*x**3)*(0*x**2 + 2*x**2 - 3*x**2) + 2*x**4 - 2*x**4 - x**5 + (-5 + 2 - 1)*(x - x - 3*x**5).
10*x**5
Expand -1 + 2*v**3 + 1 + (0*v**2 + 2*v**3 + 0*v**2)*(1 - 2 -... | {
"pile_set_name": "DM Mathematics"
} |
/35
What is prob of picking 2 t and 2 i when four letters picked without replacement from mimitttmmimimmmiimt?
15/646
Three letters picked without replacement from rzzhhzrrzrhhzr. What is prob of picking 3 z?
5/182
What is prob of picking 4 a when four letters picked without replacement from {f: 4, v: 5, h: 1, a: 2, s:... | {
"pile_set_name": "DM Mathematics"
} |
cking 1 x and 1 c when two letters picked without replacement from {a: 3, c: 1, x: 1}.
1/10
What is prob of picking 2 b when two letters picked without replacement from {g: 6, x: 1, b: 4}?
6/55
What is prob of picking 1 i and 1 u when two letters picked without replacement from {i: 2, x: 3, u: 4, g: 6, o: 2, e: 1}?
8/1... | {
"pile_set_name": "DM Mathematics"
} |
t z = 138 + b. Suppose -h + 100 = 4*x, -x + z*x + h - 75 = 0. Put x, -4, -2 in decreasing order.
x, -2, -4
Let n be 1 + 3*1*-18. Let p(z) = 19*z - 263. Suppose -399*y - 5*c = -398*y - 19, -5*y = -c - 69. Let u be p(y). Sort n, 0, u in ascending order.
n, 0, u
Suppose 0 = -25*d + 30*d - 200. Suppose -30*m + d = -26*m. L... | {
"pile_set_name": "DM Mathematics"
} |
s digit of 38057?
3
What is the hundreds digit of 551306?
3
What is the hundreds digit of 2025089?
0
What is the units digit of 41821?
1
What is the units digit of 2827886?
6
What is the hundreds digit of 1458279?
2
What is the tens digit of 254288?
8
What is the units digit of 5911969?
9
What is the ten millions digit... | {
"pile_set_name": "DM Mathematics"
} |
)*((r/(r*(r*r*r**2*r*r)/r*r))/r)**(-43) assuming r is positive.
r**(1292/7)
Simplify ((p/(p/(p**(3/4)/p)*p)*p**5)/(p**(1/4)*((p/((p*p*(p/(p**(8/5)*p))/p*p)/p)*p)/p*p)/p))**26 assuming p is positive.
p**(247/5)
Simplify (g**(-2)/((g**(-1/4)/g)/g)*g**(-6/5)/(g*g**(3/7)*g))/((g/g**(1/3))**(-6/23)*g**(-2/13)/(g/(g**(-1/12)... | {
"pile_set_name": "DM Mathematics"
} |
ase 8, what is -1 - 2127557?
-2127560
In base 3, what is -2002000002 - 210?
-2002000212
In base 10, what is 194211 + -8?
194203
In base 11, what is 4 + -358626?
-358622
In base 10, what is 255 - 90?
165
In base 14, what is 1 - -1091?
1092
In base 5, what is 10 - 1043133?
-1043123
In base 2, what is -100010001010 - -10?... | {
"pile_set_name": "DM Mathematics"
} |
2*f + f**2 - 3*f - 2*f**2 + p*f**2 wrt f.
14
Suppose 5*x - 8*x = 0. What is the second derivative of 0*v**2 + v**5 + v + 0*v**5 + x*v**2 wrt v?
20*v**3
Let y = -101/6 - -17. Let a(r) be the second derivative of -3*r + 0 - 1/2*r**2 + 0*r**3 + y*r**4. Differentiate a(i) with respect to i.
4*i
Let r(i) be the second deriv... | {
"pile_set_name": "DM Mathematics"
} |
ue
Which is greater: 288745 or -0.2?
288745
Is 39/80827 at least as big as -1?
True
Which is smaller: 26716 or 133584/5?
26716
Is -1 greater than or equal to -24/147887?
False
Which is smaller: -29/93200 or 0?
-29/93200
Is -784 >= -2353/3?
True
Is 3/8 greater than 0.33488?
True
Is 0.08055 at most as big as 2/17?
True
I... | {
"pile_set_name": "DM Mathematics"
} |
/(-12))/((-38)/(-18)))?
2, 19
Suppose -2*q = -0*q - v - 3, q - v = 3. Suppose -3*b - k + 2*k + 265 = q, -b - 4*k + 110 = 0. What are the prime factors of b?
2, 3, 5
List the prime factors of 16/(-28)*(-21)/(-6) + 700.
2, 349
Let w(t) = 8*t**2 + 1. Let s be 2/(-14) + (-242)/(-77). List the prime factors of w(s).
73
Let ... | {
"pile_set_name": "DM Mathematics"
} |
positive.
a**(-466/11)
Simplify i**(10/9)/i*(i*(i**(11/2)*i)/i)/i*i*(i**(4/5))**14 assuming i is positive.
i**(1603/90)
Simplify (i/i**13)**(-4/23)*i**(-11)/(i**13/i*i) assuming i is positive.
i**(-504/23)
Simplify ((t**(2/19)*t**(-2/11))**(-49))**(-34) assuming t is positive.
t**(-26656/209)
Simplify (((x/(x*x**(2/67)... | {
"pile_set_name": "DM Mathematics"
} |
*m - 2, 4*m + 4 = 3*n - 18. Suppose 5*o - 5 = o - 5*x, -n*x + 9 = 3*o. Suppose 4*k - 3 + 11 = 4*b, -o*k - 6 = -4*b. Does 4 divide b?
True
Suppose 5*s = l - 63, 0*l - 4*s = -l + 62. Suppose 7*g - l = -3*p + 2*g, 3*g = -5*p + 86. Does 8 divide p?
True
Let y(b) = 2*b - 5. Let w be y(4). Suppose 0*c - 195 = w*c. Does 12 di... | {
"pile_set_name": "DM Mathematics"
} |
11*d**2 + 30*d + 26. Let p be s(-13). Is p smaller than -3?
True
Let d = 107212/77937 + -114/83. Which is smaller: 1 or d?
d
Let p = 96.03 + -96. Is 4 less than p?
False
Let l(f) = -f**3 - 34*f**2 + 31*f - 140. Let i be l(-35). Let c be 1/(-1010)*-4*-5. Which is smaller: i or c?
c
Suppose -4*x + 91 - 643 = 0. Which is... | {
"pile_set_name": "DM Mathematics"
} |
.
-17
Let k(q) = -6*q**2 + 46*q + 312. Calculate k(-8).
-440
Let q(p) = -p**3 + 127*p**2 + 2610*p - 2. Determine q(-18).
-2
Let r(t) = -52*t + 879. Give r(16).
47
Let y(r) = r**3 + 84*r**2 - 355*r + 13. Give y(4).
1
Let f(r) = -173*r**2 - 4824*r + 561. Calculate f(-28).
1
Let a(m) = m**3 - 4*m**2 + 8*m - 27. Give a(4).... | {
"pile_set_name": "DM Mathematics"
} |
s in litres?
0.02976092
What is thirty-three fifths of a kilogram in grams?
6600
What is 1.041598 millilitres in litres?
0.001041598
Convert 9.962268l to millilitres.
9962.268
What is 4767.372mg in micrograms?
4767372
Convert 41760.39 days to nanoseconds.
3608097696000000000
What is 1185.691 millilitres in litres?
1.18... | {
"pile_set_name": "DM Mathematics"
} |
Let n = 49 - 42. Let m = n - 6. What is the nearest to 2/5 in 4, m, 1/10?
1/10
Suppose 0 = 4*t - 16, 0 = 2*j + 26*t - 28*t + 6. What is the closest to 0.1 in 29/3, -0.4, j?
-0.4
Let n = -4.17 + 12.17. What is the nearest to 0.1 in 2, n, -1/2?
-1/2
Let l = 0.0331 - 0.1031. What is the nearest to l in 5, 3, 4, 1/7?
1/7
... | {
"pile_set_name": "DM Mathematics"
} |
by 12.
0
Calculate the remainder when 2718 is divided by 562.
470
What is the remainder when 29756 is divided by 2973?
26
What is the remainder when 73211 is divided by 71?
10
Calculate the remainder when 37547 is divided by 1126.
389
Calculate the remainder when 1321 is divided by 608.
105
Calculate the remainder whe... | {
"pile_set_name": "DM Mathematics"
} |
(c**6/((c/c**(-8))/c))/((c**(-1)*c*c)/c)**(-3/31) assuming c is positive.
c**(-2)
Simplify (y*y/(y**(-5)/y)*y**7/y)/((y*y*y*y*y**5)/(y*y**5*y)) assuming y is positive.
y**12
Simplify (v*v**(1/25))/v*v*v**(1/3) assuming v is positive.
v**(103/75)
Simplify (v**(-6)*v*v**(-2))/((v**(-1)/v)/(v*v/(v/v**(-2/5)))) assuming v ... | {
"pile_set_name": "DM Mathematics"
} |
0 rounded to the nearest one million?
-65000000
Round -0.0132266 to four decimal places.
-0.0132
What is 9.567 rounded to 0 decimal places?
10
What is -37.7906 rounded to the nearest integer?
-38
What is -0.0000133 rounded to six dps?
-0.000013
Round 1.22 to one dp.
1.2
What is -55.82 rounded to the nearest ten?
-60
Ro... | {
"pile_set_name": "DM Mathematics"
} |
ive of -2*y**2 + 0*y**3 + 4*y**n + 4*y**2 + 2*y**3 wrt y?
36
Let l(n) = 4*n - 3. Let o(y) = -y**2 + 5*y - 4. Let p(j) = -4*l(j) + 3*o(j). Find the second derivative of p(x) wrt x.
-6
Find the first derivative of v - 2*v + 1 + 7*v wrt v.
6
Let l = 14 + -12. Find the third derivative of 3*y**6 - l*y**6 + 0*y**6 + 7*y**2 ... | {
"pile_set_name": "DM Mathematics"
} |
-84) - -27)
9
(-4 - 104/(-32))/((-54)/24 + 1)
3/5
Calculate (-10)/77 - 213/(-781).
1/7
Evaluate (100/700)/(2/63).
9/2
Evaluate (18 - 2676/144)*32/(-42).
4/9
Evaluate 9/12 - 210/(-252)*996/(-40).
-20
What is (2/7)/(-5 - 256/(-112))?
-2/19
Evaluate 1/(-10)*2 + 16/(-20).
-1
Calculate (1258/(-185) + 10)/(-6).
-8/15
5*(-16)... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 2*b + 4
What is the s'th term of -48631, -48633, -48637, -48643, -48651, -48661, -48673?
-s**2 + s - 48631
What is the k'th term of 16479, 16507, 16535, 16563?
28*k + 16451
What is the l'th term of -5382, -10745, -16070, -21339, -26534, -31637, -36630?
3*l**3 + l**2 - 5387*l + 1
What is the g'th term of 64, 26, -2... | {
"pile_set_name": "DM Mathematics"
} |
0 - 840, 2*p = 5*p - 2*n - 26 for p.
2
Solve l - l - 11 = 25*z + 48 + 41, 0 = -8*l - 2*z for l.
1
Solve -m + z + 15 = 3*z, -5*z + 20 = 2*m - 16 for m.
3
Solve 2135*p - 2136*p + 3*o = 115, -3*o + 105 = -6*p for p.
2
Solve 5*a + 0*n + 2910 = 4*n + 2902, 0 = -a + 5*n - 4 - 6 for a.
0
Solve -5*w + 286 + 208 = -3*i + 424, 4... | {
"pile_set_name": "DM Mathematics"
} |
+ 23*m + 106. Let f be j(-4). Is (-47)/f + 121/2 a multiple of 6?
True
Let f be (-3)/4 - 6964/16. Let d = -376 - f. Does 12 divide d?
True
Let c be ((-3)/(-12) - 0)/((-2)/(-40)). Suppose c*w = -8 + 8. Suppose 16*a - 20*a + 60 = w. Is a a multiple of 3?
True
Suppose -4*v + 12194 = 5*d + 1065, -2*d + 2786 = v. Is 208 a ... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*y**2 - 2*y**2. What is z(k(r))?
-5*r**4
Let z(o) = -o. Let i(h) = h - 157. What is z(i(d))?
-d + 157
Let j(w) = 3*w**2. Let t(q) = -309*q**2. Determine t(j(a)).
-2781*a**4
Let a(d) be the second derivative of -d**4/12 - 4*d. Let k = 4 + -3. Let p(b) = -k + 1 - 2*b. Give a(p(r)).
-4*r**2
Let f(j) = 8*j + j - 2*j - 3... | {
"pile_set_name": "DM Mathematics"
} |
is (-3*10/285)/((-316)/129086)?
43
Evaluate 10/36*182490/(-27650).
-11/6
What is 4/(12*-2)*1664/(-128)?
13/6
Calculate (5/(-8))/(((-75)/45)/((-30)/(-60))).
3/16
What is the value of (365700/(-207))/212*66/10?
-55
Evaluate ((-2024)/(-660))/((-421314)/(-1290)).
2/213
(237/(-790))/(5/(-150))
9
What is the value of -56*310... | {
"pile_set_name": "DM Mathematics"
} |
84 - 63/36)?
-28/5
(-1533)/(-3)*((-4)/12)/(420/360)
-146
What is 2328/(-111) - (35 - (-38 - -94))?
1/37
What is the value of (6798/(-1815)*-11)/((-996)/60 - -17)?
103
Calculate 26*(3 - 5)/6*16/(16896/288).
-26/11
What is (204/(-90) - 180/(-108))/(((-8)/5)/4)?
3/2
2*((-855)/18 - (-41 + 3))
-19
Calculate (320 - 284)*15/(... | {
"pile_set_name": "DM Mathematics"
} |
replacement from {z: 4, x: 7, s: 1, v: 1, i: 4}.
3/340
Two letters picked without replacement from {e: 2, u: 2, c: 6, i: 2, d: 3}. Give prob of picking 1 e and 1 c.
4/35
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {l: 1, s: 1, x: 1, t: 2, h: 1, d: 1}.
1/21
Four letters picked ... | {
"pile_set_name": "DM Mathematics"
} |
3
What is the tens digit of 5347?
4
What is the hundreds digit of 22145?
1
What is the tens digit of 1037?
3
What is the tens digit of 2218?
1
What is the hundreds digit of 40397?
3
What is the tens digit of 5014?
1
What is the tens digit of 1037?
3
What is the tens digit of 4001?
0
What is the units digit of 83767?
7
... | {
"pile_set_name": "DM Mathematics"
} |
. What are the prime factors of v?
3, 17, 103
Suppose -5*g + 8*g = -3*y + 35751, 5*y - 59621 = 4*g. List the prime factors of y.
7, 13, 131
Suppose 35*i - 33*i - 1464 = 0. Suppose 63*b = 57*b + i. List the prime factors of b.
2, 61
Let j = -189 - -191. What are the prime factors of j/6 - (-18456)/36?
3, 19
Let r be 13 ... | {
"pile_set_name": "DM Mathematics"
} |
tens digit of p?
0
Suppose a - n = -a + 19, 0 = 4*a + 2*n - 26. Let q(w) = -a*w**2 - 1 + 2 + w**3 + 6 + 7*w. What is the units digit of q(7)?
7
Let l(q) = -189*q**3 - 2*q - 1. Let a be l(-1). Suppose 5*x - 760 + a = 0. Suppose -w - 4*g = -34, -w - 5*g = 3*w - x. What is the units digit of w?
6
Let r be 1/2*(1 + -1). L... | {
"pile_set_name": "DM Mathematics"
} |
1
54 (base 12) to base 10
64
Convert -34 (base 8) to base 5.
-103
5 (base 8) to base 14
5
Convert -1 (base 12) to base 10.
-1
Convert -3 (base 5) to base 9.
-3
What is -23 (base 7) in base 11?
-16
-78 (base 10) to base 6
-210
71 (base 10) to base 12
5b
-3 (base 4) to base 11
-3
-7 (base 11) to base 13
-7
What is -16 (b... | {
"pile_set_name": "DM Mathematics"
} |
c.
2
Solve -22*t = 1 - 23 for t.
1
Solve 6*u = 61 - 79 for u.
-3
Solve -50*m - 12 = -62 for m.
1
Solve -1905*m - 120 = -1890*m for m.
-8
Solve -6*j + 49 = 31 for j.
3
Solve -33*p = 118 - 19 for p.
-3
Solve -24*h = -27*h - 6 for h.
-2
Solve -28 = 78*r - 184 for r.
2
Solve -12*r = 12*r + 48 for r.
-2
Solve 0 = 1442*i - ... | {
"pile_set_name": "DM Mathematics"
} |
6 = 2*j + 2*j, 0 = 4*u + 5*j - 32. What is the remainder when 26 is divided by b(u)?
6
Let j(r) = r**2 - 5*r - 9. What is the remainder when 106 is divided by j(9)?
25
Let y = -294 + 569. Calculate the remainder when y is divided by 46.
45
Suppose 3*z = -z - 240. Let k = -28 - z. What is the remainder when k is divided... | {
"pile_set_name": "DM Mathematics"
} |
= -163*j. Let k(b) = 1286*b - 9. Determine k(g(r)).
-209618*r - 9
Let b(d) = 0*d**2 - 5 - 5*d - d + 3 - d**2. Let g be b(-4). Let h(j) = -g*j + 11*j + 2*j. Let u(m) = -m**2. Calculate h(u(v)).
-7*v**2
Let r(b) = -4*b**2 - 140. Let i(o) = -1070*o. Calculate i(r(w)).
4280*w**2 + 149800
Let h(r) = 2*r**2. Let p(g) = -1532... | {
"pile_set_name": "DM Mathematics"
} |
alculate l*r(q) - 4*g(q).
q**3 - 5*q**2
Let x(a) = -5*a**2 - 3*a - 2. Let m(h) = -h. Determine -5*m(d) + x(d).
-5*d**2 + 2*d - 2
Let x be (-1 - 0) + (-84)/(-3). Suppose 3*g - x = 3*j, 4*g - 2*g - 26 = 4*j. Let m(z) = z**2 - 9*z. Let n(b) = 4*b. What is g*n(i) + 2*m(i)?
2*i**2 + 2*i
Let z(x) = 6*x**3 + 3*x**2 + 4. Let r... | {
"pile_set_name": "DM Mathematics"
} |
r?
True
Suppose -9*j = -4*o - 5*j - 14876, -3*j = 3. Let p = 7085 + o. Is p a prime number?
False
Suppose -1736 = -206*x + 199*x. Let y = 135 + -52. Let h = x + y. Is h a composite number?
False
Let i = 42160 - 25907. Is i composite?
False
Let s be 2/(1 + 1) + (-8703)/9. Let i = -637 - s. Is i a prime number?
False
Let... | {
"pile_set_name": "DM Mathematics"
} |
True
Which is greater: 1 or -132/1035871?
1
Are -2924762 and -2924743 nonequal?
True
Is 0 > 109/8070525?
False
Which is bigger: -94056 or -10063996/107?
-94056
Which is smaller: -3/138995069 or -1?
-1
Is 866.5585 greater than or equal to -1/5?
True
Is 1174309291 at least as big as 1174309290?
True
Which is smaller: -1/... | {
"pile_set_name": "DM Mathematics"
} |
is divided by t.
8
Suppose 128 = 5*d - n, -59 = -2*d + 7*n - 4*n. Let f(b) = 277*b - 783. Calculate the remainder when f(3) is divided by d.
23
Let b(g) = g**2 - 4*g**2 + 6*g**2 - g**2 + 29 + 0*g**2 - 21*g. What is the remainder when b(14) is divided by 32?
31
Suppose -2*b - 2 = -3*m + 6, 4*b = m - 6. Let r(j) = 11*j*... | {
"pile_set_name": "DM Mathematics"
} |
:20 PM
What is 485 minutes after 12:52 PM?
8:57 PM
How many minutes are there between 4:27 AM and 2:50 PM?
623
What is 376 minutes after 5:56 PM?
12:12 AM
What is 126 minutes after 12:41 AM?
2:47 AM
How many minutes are there between 12:33 PM and 5:28 PM?
295
How many minutes are there between 4:29 AM and 8:12 AM?
223
... | {
"pile_set_name": "DM Mathematics"
} |
placement from {q: 4, j: 6, o: 7, z: 1, h: 2}. Give prob of sequence jz.
3/190
Three letters picked without replacement from ymymwwfmydwdfd. Give prob of sequence wym.
9/728
Two letters picked without replacement from miimippprpiiii. What is prob of sequence pi?
2/13
Three letters picked without replacement from oodbob... | {
"pile_set_name": "DM Mathematics"
} |
8 + 26746 for x.
28
Solve -2701*f + 14008 = 43719 for f.
-11
Solve 5278*y + 53213 - 269573 = 1672*y for y.
60
Solve -12*m - 3*m + m = 43*m - 2508 for m.
44
Solve 137 + 829 = 133*b - 50*b - 196 for b.
14
Solve 53*c = 326*c - 2890 + 16267 for c.
-49
Solve 146*c - 5184 = -10148 for c.
-34
Solve -132*o + 626*o + 74760 = -1... | {
"pile_set_name": "DM Mathematics"
} |
1153*g.
5748*g**3
Collect the terms in 1418 + 106*i + 67*i - 174*i - 857 + 1370.
-i + 1931
Collect the terms in 8194*s**2 + 114*s**3 + 5101*s**2 - 13295*s**2.
114*s**3
Collect the terms in -2 + 3 + 23 - 22 - 30*k.
-30*k + 2
Collect the terms in -1188 - 725 + 2107 - o**2 - 1630 + 2*o**2.
o**2 - 1436
Collect the terms i... | {
"pile_set_name": "DM Mathematics"
} |
c be (2 - 4) + 8*1. Let p = c - 4. Suppose p*y = 7*y - 15. What is the greatest common factor of y and 6?
3
Suppose 3*l + 2 = 5*v, 5*v - 6 = -3*l + 2*l. Let j = -1 - -2. What is the highest common divisor of v and j?
1
Suppose -4*r = -r - 6. Suppose 0 = 5*t - t + r*a - 34, 4*a = -5*t + 35. Calculate the greatest commo... | {
"pile_set_name": "DM Mathematics"
} |
27 PM?
5:41 AM
What is 481 minutes before 3:10 PM?
7:09 AM
How many minutes are there between 1:30 AM and 3:46 AM?
136
How many minutes are there between 11:05 AM and 5:49 PM?
404
How many minutes are there between 1:19 PM and 6:15 PM?
296
What is 171 minutes before 6:52 PM?
4:01 PM
How many minutes are there between 1... | {
"pile_set_name": "DM Mathematics"
} |
1 = 5*a, -u*x - 4*a + 2 = -6. What is the second derivative of -2*i + 11*i**x - 8*i + 17*i**4 - 5*i**4 wrt i?
276*i**2
Let k(t) be the second derivative of -2947*t**5/20 - 1017*t**3/2 + 2701*t. What is the second derivative of k(a) wrt a?
-17682*a
Let t(g) = g**4 - 3*g**2 - g - 2. Let x(j) = 5*j**4 - 936*j**2 - 5*j - 3... | {
"pile_set_name": "DM Mathematics"
} |
d 11322?
222
Calculate the highest common divisor of 2419 and 348867.
59
What is the greatest common factor of 30 and 9450?
30
What is the highest common factor of 13 and 297804?
13
Calculate the highest common factor of 13343 and 11.
11
Calculate the highest common factor of 27731 and 10835.
11
What is the greatest co... | {
"pile_set_name": "DM Mathematics"
} |
om {f: 1, w: 3, i: 1, d: 1, c: 1}. Give prob of picking 2 c and 1 f.
0
Three letters picked without replacement from {u: 3, v: 2, y: 7}. What is prob of picking 2 y and 1 v?
21/110
Three letters picked without replacement from kkkktkuiitikeii. What is prob of picking 1 i, 1 u, and 1 k?
6/91
Three letters picked without... | {
"pile_set_name": "DM Mathematics"
} |
?
-901540
What comes next: -1164, -2337, -3512, -4689, -5868, -7049, -8232?
-9417
What is the next term in 15381, 15382, 15391, 15414, 15457?
15526
What is next in -110, -270, -498, -812, -1230, -1770?
-2450
What comes next: 567, 590, 635, 708, 815, 962, 1155, 1400?
1703
What comes next: 106, -76, -378, -800, -1342, -2... | {
"pile_set_name": "DM Mathematics"
} |
+ l*p**2 + u*p and give l.
143
Rearrange (3*c - 3*c - 2*c)*(-1 + 1 - 1 + (3 - 1 - 3)*(1 + 1 + 0) + 23 - 9 + 24 + 5 - 1 - 3) to the form h + w*c and give w.
-72
Rearrange -40*k**2 + 154*k**2 - 60*k**2 to the form h*k**2 + s + w*k and give h.
54
Express (5*f - 4*f - 3*f)*(-1 + 3 - 4)*(-4*f + f - f) as k + n*f + s*f**2 an... | {
"pile_set_name": "DM Mathematics"
} |
= p - 6, -p + 2*c = -11. Let m = -9 + p. Suppose 0*i + 2 = -j + 2*i, m = 2*j - i. What is the units digit of j?
2
What is the units digit of -2617*4/24*42/(-7)?
7
Let v(w) = 80*w - 18. Let k be v(2). Let t = -38 + k. What is the units digit of t?
4
Let k = -5 - -5. Let f = k + 5. Suppose -2*h = 3*v - 34, f - 1 = -2*v.... | {
"pile_set_name": "DM Mathematics"
} |
ent from wqqpvwvvpwqwppqi. What is prob of sequence vv?
1/40
Calculate prob of sequence pwww when four letters picked without replacement from kpwrfww.
1/140
Calculate prob of sequence qu when two letters picked without replacement from uuqqqqqqqqqqquq.
6/35
Calculate prob of sequence vb when two letters picked without... | {
"pile_set_name": "DM Mathematics"
} |
7. Let c(h) = -41*h**2 + 4*h - 16. Give -2*c(i) - 5*n(i).
-18*i**2 + 2*i - 3
Suppose 5*k = -3*i - 7, 4*k + 1 = i - 8. Let s(f) = -f - 3. Let l(u) = -u - 1. Let g(n) = 2*l(n) - s(n). Let h(c) = -3 + 14 - c - 11. What is i*g(p) - 2*h(p)?
p + 1
Let j(o) = 4*o**2 - 2*o - 4. Let c(m) = 21*m**2 + 1 + 25*m**2 + 21*m**2 + 22*... | {
"pile_set_name": "DM Mathematics"
} |
the highest common factor of v and r?
10
Let q(l) = 3*l - 5. Let g be q(7). Let w be 40/70 - 2232/(-14). Calculate the highest common factor of g and w.
16
Suppose 19*m - 23*m = -88. What is the greatest common factor of m and 33?
11
Let x(f) = 3*f + 26. Let z be x(10). Suppose i + i = z. Calculate the highest common ... | {
"pile_set_name": "DM Mathematics"
} |
(g) = -2*g**2 - 1. Give -s(l) + 4*x(l).
70*l**2 + 6*l
Let o(g) be the third derivative of -7*g**5/60 - g**2. Let p(q) be the first derivative of -12*q**3 + 5. What is 11*o(f) - 2*p(f)?
-5*f**2
Let s(r) = r - 3. Let w(i) = -5*i - 6 + 2 + i + 5*i. Let a be ((1 - 1)*-1)/2. Let l = -4 + a. Determine l*s(n) + 3*w(n).
-n
Let... | {
"pile_set_name": "DM Mathematics"
} |
What is the value of (-14)/77 - 272/(-44)?
6
Calculate -1*(-8)/(-4)*3/36.
-1/6
Calculate (-2 + 1)/((-5)/(-10)).
-2
152/(-28) - (1 - 3 - 4)
4/7
Evaluate 6/7 + (-12)/14.
0
What is (-5)/(-10)*6 + (-14)/5?
1/5
What is the value of (0 + (-2)/(-5))/(1364/620)?
2/11
Calculate (4/(-6))/(-9 + (-175)/(-15)).
-1/4
-9*-1*(-5)/(-15... | {
"pile_set_name": "DM Mathematics"
} |
7, 20125?
5028*v + 13
What is the o'th term of 5513, 11121, 16719, 22301, 27861, 33393, 38891?
-o**3 + o**2 + 5612*o - 99
What is the q'th term of 2362, 2338, 2314, 2290, 2266, 2242?
-24*q + 2386
What is the t'th term of 42, 66, 96, 132, 174, 222, 276?
3*t**2 + 15*t + 24
What is the q'th term of 395, 612, 829, 1046, 12... | {
"pile_set_name": "DM Mathematics"
} |
Solve -3*h + t - 2 = 0, -491*t = h - 486*t + 54 for h.
-4
Solve 112*n - 117*n = -f + 22, 3*f - 11 = 4*n for f.
-3
Solve 6*y - j + 17 = 33, -2*j = 4*y - 16 for y.
3
Solve -3 + 8 = k - 4*b, -4*k = 5*b + 22 for k.
-3
Solve -p + 6 = 4*v, -3*v - 4543*p + 4544*p + 1 = 0 for v.
1
Solve -3*b + g + 771 = 756, 25 = 5*b - g for ... | {
"pile_set_name": "DM Mathematics"
} |
e
Let v be (0 - -2) + 6/(-2). Let o be 66/55 - v/(-5). Is o less than 7/6?
True
Let t = -11.4 + 11. Is 3 <= t?
False
Let b be (3/(-46))/(-3)*-4. Let q = 21 - 16. Suppose q*j = 10 - 15. Which is smaller: b or j?
j
Let g be ((-2)/(-10)*-53)/(132/(-660)). Is 51 greater than or equal to g?
False
Let t(o) = -o**3 + 95*o**2 ... | {
"pile_set_name": "DM Mathematics"
} |
20 - p. Is 3 a factor of h?
False
Let d(x) be the second derivative of -x**4/12 + 5*x**3/3 - x**2/2 + 150*x. Let q = 12 - 3. Is 2 a factor of d(q)?
True
Suppose -33*k = -29*k - 152. Let y be 0/(3/(3/(-2))). Suppose y = -w - w + k. Is w a multiple of 13?
False
Let f(r) be the first derivative of r**2 + 22*r + 12. Is f(... | {
"pile_set_name": "DM Mathematics"
} |
91*d + 40*d**2 + 42 - 74*d**2 + 39*d**2 - 1511*d.
5*d**2 - 20*d + 42
Collect the terms in 239 - 237 - 344*y**3 + 191*y**3.
-153*y**3 + 2
Collect the terms in -1076*y**2 + 1815*y**2 + 1 + 156*y**2 + 1 - 2.
895*y**2
Collect the terms in -9738 - 161*x - 9734 + 19470.
-161*x - 2
Collect the terms in -3501 - 12667*o**2 + 12... | {
"pile_set_name": "DM Mathematics"
} |
0, 3*r - 6*j + 5*j = 59. Which is greater: 20 or r?
r
Let x(d) = -d**3 - 4*d**2 + 5*d + 15. Let o be x(-4). Is 4 at most as big as o?
False
Let b be 3 + (-1 + 6/9)*94. Is -27 equal to b?
False
Let y be 18/(-40)*60/36. Let g = 4 + -10. Let s = g + 6. Is y equal to s?
False
Let w be (4 + -5)*(4 + -5). Which is smaller: w... | {
"pile_set_name": "DM Mathematics"
} |
2*g - 90. Suppose 2*i = -i + g. What are the prime factors of i?
2, 5
Let o = -2 - -4. Let u be (-1 + -1 + o)/1. Suppose b - 13 + 5 = u. List the prime factors of b.
2
Let f(d) = d**3 - 10*d**2 + 16*d + 13. What are the prime factors of f(10)?
173
Suppose m + 1 - 5 = 0. Let s(a) = -2*a**2 + a**3 - m - 2*a**3 + 2. What ... | {
"pile_set_name": "DM Mathematics"
} |
th smallest value in h, -0.3, y, 0.07?
y
Let i = 2106 - 35740/17. What is the third smallest value in 0.5, 0.2, 3, i?
3
Let j be (9/5 - 1)*(-19)/38. What is the third biggest value in -4/7, -0.5, j, 5/2?
-0.5
Let i = -0.52 - -0.67. Let q = -2291 + 2287. Which is the biggest value? (a) i (b) q (c) 2
c
Let t be (12/16... | {
"pile_set_name": "DM Mathematics"
} |
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