text stringlengths 270 8.19k | meta dict |
|---|---|
in 1860618*d - 26*d**3 + 1860616*d - 5581847*d + 1860613*d - 22*d**3.
-48*d**3
Collect the terms in -63*c - 34177165 + 34177165.
-63*c
Collect the terms in -59503 + y + 59036 - 2*y.
-y - 467
Collect the terms in -222*s - 84*s - 313*s + 732 - 732.
-619*s
Collect the terms in 92442*a - 109990*a - 472711*a.
-490259*a
Coll... | {
"pile_set_name": "DM Mathematics"
} |
t is w(t(v))?
12*v**2
Let d(n) = n. Let x(i) = i**2 + 2*i. Suppose -q = 4*z + 13, 0*z - 3*z = -q + 1. Let v(g) = z*d(g) + x(g). Let u(r) = -6*r**2. Give u(v(p)).
-6*p**4
Let x(b) = b. Let g = -13 + 19. Let l(r) = r**2 + g*r**2 - 4*r**2 + 0*r**2. Determine x(l(h)).
3*h**2
Let r(x) be the second derivative of 0 - 2*x + 0... | {
"pile_set_name": "DM Mathematics"
} |
-6, 0, -4 in ascending order.
-6, -4, 0, 7
Put 492, 2/29, -0.4, 5 in descending order.
492, 5, 2/29, -0.4
Sort -0.23, -3, -0.4 in decreasing order.
-0.23, -0.4, -3
Put -35, -6, 10 in ascending order.
-35, -6, 10
Sort 3, 1, 2 in descending order.
3, 2, 1
Put 190, -3/4, 0 in descending order.
190, 0, -3/4
Sort -3, 0, 48... | {
"pile_set_name": "DM Mathematics"
} |
k be y(-7). Let v = k + 31. Suppose 25 = -0*b + v*b, 4*l + b - 25 = 0. Solve -l = -2*u + 7*u for u.
-1
Let k = 0 - 2. Let u(z) = 212*z + 4 - 69*z - 70*z - z**3 - 3*z**2 - 74*z. Let m be u(k). Solve -2*w + 4*w = m for w.
1
Suppose -12*s = 4*c - 17*s - 435, -443 = -4*c - 3*s. Solve -5*k + c - 120 = 0 for k.
-2
Let x(z) ... | {
"pile_set_name": "DM Mathematics"
} |
is -3132177749 plus -12?
-3132177761
-3844700.2 + 6
-3844694.2
What is -396756826 - 0?
-396756826
-2+-485784.1
-485786.1
Add together -250780 and 22.113.
-250757.887
-0.03 + 4984.43
4984.4
What is the distance between 0.028444 and 2?
1.971556
-6949 + 1331
-5618
Calculate 0.8235 + 8038487.
8038487.8235
Sum -47067.541 a... | {
"pile_set_name": "DM Mathematics"
} |
w) = 2*w - 1602. Let b(s) = 100*s + 1. Calculate n(b(a)).
200*a - 1600
Suppose -8*x + 6 = -5*x. Let z(t) = -3*t**2 + 5*t**x - 3*t**2. Let j(p) = p. What is z(j(i))?
-i**2
Let h(d) be the first derivative of d**4/12 - 2*d - 4. Let v(o) be the first derivative of h(o). Let g(j) = 4*j + 2*j - j. Determine v(g(k)).
25*k**2... | {
"pile_set_name": "DM Mathematics"
} |
be g(k). Let a(b) = -b + 6. Suppose 0 = -11*w + 49 + 17. Let t(r) = r - 7. Calculate h*t(m) + w*a(m).
-m + 1
Let n(o) = 2*o**3 + 3. Let b(l) = 2680*l**3 - 5363*l**3 - 5 + 2681*l**3 + 3. Let k(g) = g - 7. Let x be k(9). Give x*n(r) + 3*b(r).
-2*r**3
Let v(l) = 2*l**3 - l**2 + 8. Let c(s) = -s**3 + s - 1. Give c(w) - v(w... | {
"pile_set_name": "DM Mathematics"
} |
z + 9. Put h, z, -2 in descending order.
z, h, -2
Let w = -100.8 - 22.2. Let x = w + 123.4. Sort 2, x, 8, 1/4.
1/4, x, 2, 8
Let v = 0.104 - 0.204. Sort v, -3, -2, -2/7.
-3, -2, -2/7, v
Let t be (24 + -16)/(1/12). Let g = t + -91. Put 5/6, -3, 2, g in descending order.
g, 2, 5/6, -3
Let u = 6 - 3. Let r = 1 - u. Let w =... | {
"pile_set_name": "DM Mathematics"
} |
1983*u + 24761 + 127498 for u.
79
Solve 339154 = 1921*u + 1166*u + 1975*u for u.
67
Solve 175*l + 2227 = -3745 + 1072 for l.
-28
Solve -149563*q + 150053*q = 35770 for q.
73
Solve 3*m = 3*m - 31*m - 59*m - 5580 for m.
-62
Solve -120*c + 8563 = -305*c + 978 for c.
-41
Solve 632*i - 89587 + 392071 = 6556*i + 1278*i for i... | {
"pile_set_name": "DM Mathematics"
} |
the i'th term of 1902, 1901, 1900?
-i + 1903
What is the h'th term of 612, 613, 614, 615?
h + 611
What is the k'th term of 24, 104, 248, 462, 752, 1124, 1584, 2138?
k**3 + 26*k**2 - 5*k + 2
What is the y'th term of -331, -282, -233, -184, -135?
49*y - 380
What is the p'th term of 6169, 6164, 6149, 6118, 6065, 5984?
-p... | {
"pile_set_name": "DM Mathematics"
} |
72928 and 2016?
224
What is the greatest common factor of 15784022 and 113088?
1178
Calculate the greatest common divisor of 133607606 and 39182.
3014
What is the greatest common divisor of 315832 and 12610?
194
Calculate the greatest common factor of 12 and 7524492.
12
Calculate the greatest common factor of 42342 and... | {
"pile_set_name": "DM Mathematics"
} |
4955
Convert 73601.87l to millilitres.
73601870
How many kilograms are there in 13.74377 milligrams?
0.00001374377
How many millilitres are there in one fifth of a litre?
200
How many millilitres are there in thirteen quarters of a litre?
3250
How many kilograms are there in 373.1664 micrograms?
0.0000003731664
What is... | {
"pile_set_name": "DM Mathematics"
} |
9 divided by -17279?
239/17279
Divide 38741 by 38741.
1
Calculate 5 divided by 15308.
5/15308
-5 divided by -24792
5/24792
Calculate -1215123 divided by -3.
405041
Divide 134 by 28901.
134/28901
Calculate 1400930 divided by -30455.
-46
What is 4 divided by -623325?
-4/623325
What is -2071866 divided by -345311?
6
What ... | {
"pile_set_name": "DM Mathematics"
} |
s divided by 329.
2
What is the remainder when 5768 is divided by 2258?
1252
Calculate the remainder when 32429 is divided by 94.
93
Calculate the remainder when 293375 is divided by 45.
20
Calculate the remainder when 3529 is divided by 311.
108
Calculate the remainder when 28248 is divided by 4034.
10
What is the rem... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*k)*(25*k**4 - 126*k**2 + 126*k**2) + 1 - 14142*k**2 - 2 - 3*k**5 + 14145*k**2 + 2*k**4.
-28*k**5 + 2*k**4 + 3*k**2 - 1
Expand (-3 - 5 + 5)*(-3 + 2 - 1)*(48*t + 21*t + 36*t)*(-3*t**3 - t**3 + 2*t**3 + (7*t - 2*t - 3*t)*(t + t**2 - t) - t**3 + 2*t**3 - 2*t**3).
-630*t**4
Expand -5*v + 6*v + v + (0 - 3 + 9 + 1 - 3 + ... | {
"pile_set_name": "DM Mathematics"
} |
e -4*c = -h*c + p. Solve -2*r + 3*m + c = -0*m, -4*m = -5*r + 12 for r.
0
Let i(s) = -s**2 - 12*s + 10. Let l(x) = x - 17. Let c be l(5). Let h be i(c). Solve -2*o = -7*k + 3*k - 14, k - h = 5*o for k.
-5
Suppose 3*d - 3*v = -3, 5*d + 83*v - 87*v + 4 = 0. Solve d = 3*t - 4*l - 1, 1 = 2*t + 3*l + 6 for t.
-1
Suppose -12... | {
"pile_set_name": "DM Mathematics"
} |
**0*c*c**(-8)*c) assuming c is positive.
c**(-188/15)
Simplify (t*t**2)**(-2/51)*(t**2)**(-2/33)*((t*t*t**7)/(t**5/t))/((t**(-6)/t)/t**3) assuming t is positive.
t**(8281/561)
Simplify (s**11*s**(3/8))**(3/10)*(s/(s/(s**(-2)*s)))**(-11)*s**(-6)/s*s**(-1/7)*s*s*s assuming s is positive.
s**(5751/560)
Simplify (q/q**(-5)... | {
"pile_set_name": "DM Mathematics"
} |
1110010000111100
Convert 1041535 (base 6) to base 11.
36299
What is -103030 (base 4) in base 9?
-1614
44324 (base 6) to base 14
236c
1319 (base 14) to base 6
23311
174 (base 10) to base 5
1144
Convert -103403 (base 6) to base 10.
-8571
Convert -945 (base 11) to base 16.
-472
Convert 1c75 (base 16) to base 4.
1301311
Co... | {
"pile_set_name": "DM Mathematics"
} |
8*n + 6. Let l be u(9). Let b be -2*(-1)/l*-6. Let z be 2 + -3 + 16/b. Solve 3*s - 15 = -5*d + 9, -4*d = z*s - 21 for d.
3
Suppose 1 = -22*o + 20*o - 3*q, 4*q + 5 = o. Solve -4 = 2*i, 3*x - 4*i + 2*i - o = 0 for x.
-1
Suppose -3*h + o - 17 = 0, o = h + 1 + 2. Let n be ((-8)/4)/(((-28)/(-10))/h). Solve -n = 5*x - m, -6... | {
"pile_set_name": "DM Mathematics"
} |
2*u**2 + 7*u + 13151800
What is the a'th term of -49560, -49917, -50276, -50637, -51000, -51365, -51732?
-a**2 - 354*a - 49205
What is the o'th term of -620425, -620447, -620467, -620485, -620501, -620515?
o**2 - 25*o - 620401
What is the x'th term of -38224, -74522, -106970, -133642, -152612?
321*x**3 - x**2 - 38542*x... | {
"pile_set_name": "DM Mathematics"
} |
er.
4, 0, -2/5, -2, -114/17
Sort -5, 7, 1, -3, -282, -10 in ascending order.
-282, -10, -5, -3, 1, 7
Put -4/365, -1, -0.1, -2, 9 in decreasing order.
9, -4/365, -0.1, -1, -2
Sort -3, 97, 6 in decreasing order.
97, 6, -3
Sort 3, 9, -68/9, 2/5 in ascending order.
-68/9, 2/5, 3, 9
Sort 275, -0.1, 12/41, 0.04 in descending... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*i. What is 10*k(q) - 6*v(q)?
-2*q
Let z(q) = -q**2 + 3*q + 1. Let f(c) = -4*c**2 - 4*c - 7. Give 2*f(b) + 2*z(b).
-10*b**2 - 2*b - 12
Let f(p) = 154*p - 8. Let h(c) = 315*c - 15. Calculate 5*f(o) - 3*h(o).
-175*o + 5
Let y(v) = -1. Let k(j) = -2*j + 4. Let m = 13 + -11. Let i be 1*m/(-6)*3. Calculate i*k(w) - 3*y(... | {
"pile_set_name": "DM Mathematics"
} |
*2*6. Suppose 0 = -u - 2*u + a. Let g be ((-2)/(-3))/(u/9). Are g and 3 nonequal?
True
Let g = -141 + 141. Which is smaller: g or -0.02?
-0.02
Let n be 24/18 - (-8)/(-6). Is -2/81 at most n?
True
Suppose -4*l = -6*l + 6. Is 4 greater than l?
True
Suppose 79 = 4*o + z, o - 15 = -5*z - 0*z. Suppose -2*n = 3*f - o, 4*n = ... | {
"pile_set_name": "DM Mathematics"
} |
e -6543*z + 6526*z - 170 = 0 for z.
-10
Solve 29 = 189*a - 218*a for a.
-1
Solve 0 = -5*k + 260448 - 260553 for k.
-21
Solve 2*u = -12*u - 823 + 1075 for u.
18
Solve -11*q - 540 = -56*q for q.
12
Solve 128*s + 45*s = -2422 for s.
-14
Solve -5*p - 142 = -284 + 32 for p.
22
Solve -127*d - 1539 = 1494 + 142 for d.
-25
Sol... | {
"pile_set_name": "DM Mathematics"
} |
<= -2/15?
False
Which is greater: -25 or 1?
1
Is -456 smaller than -455?
True
Which is smaller: 12970 or 12971?
12970
Is 12/25 at least as big as -7/5?
True
Is 1 < 36/149?
False
Does 13/11 = 1?
False
Which is smaller: -4479/17 or -262?
-4479/17
Is -3/38 <= -1?
False
Which is bigger: 1 or -1/49438?
1
Which is smaller: ... | {
"pile_set_name": "DM Mathematics"
} |
alue in -72/13, -608/15, 2, -0.1?
-0.1
What is the fourth biggest value in -1/3, 2, 0.5, 884/141, -27, 3/7?
3/7
What is the third biggest value in 21867, 3, -3, -1/8, -5, -2?
-1/8
Which is the biggest value? (a) -1/27 (b) -18 (c) -2/13 (d) 7/54
d
Which is the third smallest value? (a) -6/4375 (b) 3/2 (c) 1/10 (... | {
"pile_set_name": "DM Mathematics"
} |
) -4 (c) h
a
Suppose 8*k - 4580102 = -4580086. Let d = -3 - -11. Suppose -3*y = -y + d. What is the biggest value in y, 0.3, -1/6, k?
k
Let l = 254/5 + -51. Let c = 542 - 537.985. Let t = 0.015 - c. What is the third biggest value in l, t, -0.02?
t
Let v = 3411.4 + -3411.3. Which is the second biggest value? (a) -2.4... | {
"pile_set_name": "DM Mathematics"
} |
= -23*q + 16 + k*q - 29*q - 26*q. Give l(-9).
7
Let a(i) = -96 + 190 - 97 + 5*i. Let m(c) = -3*c + 2. Let v(q) = 4*q - 3. Let f(r) = -3*m(r) - 2*v(r). Let u be f(5). Give a(u).
22
Let l be ((-942)/(-1099))/(3/(-14)). Let m(q) = q**2 + 5*q + 13. Give m(l).
9
Suppose 22 = -2182*s + 2193*s. Let p(d) = d**3 + d**2 - 7*d + ... | {
"pile_set_name": "DM Mathematics"
} |
f 53/130 and 121/2070.
26910
What is the lowest common multiple of 423203 and 3116313?
34279443
Calculate the common denominator of 45/116137 and 54/182501.
1277507
Calculate the lowest common multiple of 5595 and 149946.
749730
Calculate the smallest common multiple of 41895 and 4123.
1298745
What is the smallest comm... | {
"pile_set_name": "DM Mathematics"
} |
f (170/(-15))/(4/a)?
7
What is the tens digit of (-4823)/(-117) - 2/9*1?
4
Let j(o) = -30*o - 2 + 0 + 3 + 9*o. What is the units digit of j(-1)?
2
Suppose -6*p + 100 = -4*p. Suppose p = 4*g + 10. What is the tens digit of g?
1
What is the tens digit of (22 - 2)*(-649)/(-44)?
9
Let z(c) = 4*c - 8. Let d be z(-10). Let h... | {
"pile_set_name": "DM Mathematics"
} |
econd biggest value? (a) f (b) i (c) -2
a
Let m = 6149 + -55345/9. Let y = 3.8 + 1.2. Which is the biggest value? (a) m (b) -1/4 (c) -1/2 (d) y
d
Let r = -781 - -2320/3. Which is the second biggest value? (a) r (b) 0 (c) 1 (d) -0.4
b
Let d = 758 + -2225/3. Let j = d - -32. Let c = 48 - j. What is the smalles... | {
"pile_set_name": "DM Mathematics"
} |
(v)?
9
Suppose -8*t + 5665 + 2167 = 0. Suppose 3*h = 56 + t. What is the hundreds digit of h?
3
Let o(v) = 34*v**3 - 6*v**2 - 27*v + 160. What is the hundreds digit of o(6)?
1
Let t(u) = 41*u**3 + 21*u**2 - 41*u + 30. What is the hundreds digit of t(6)?
3
Let s(n) = 2*n**2 + 2*n - 4. Let d(z) = -z**3 - 8*z**2 + 3*z - 5... | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when 294 is divided by 109.
76
What is the remainder when 110 is divided by 90?
20
What is the remainder when 13235 is divided by 7?
5
Calculate the remainder when 225 is divided by 3.
0
Calculate the remainder when 1846 is divided by 14.
12
What is the remainder when 5290 is divided by 123?
1
... | {
"pile_set_name": "DM Mathematics"
} |
. Is c prime?
True
Let v = 200 - -3198. Is v a composite number?
True
Suppose 2*w - x = -2*x + 31, -5*x + 85 = 5*w. Suppose i - 4*s - w = 0, -12 = s + 3*s. Suppose -b + c + c = -13, -5*b - i*c + 113 = 0. Is b composite?
True
Suppose 0 = i - 0*m + m - 24042, 3*m - 48083 = -2*i. Is i prime?
True
Let i(o) be the second de... | {
"pile_set_name": "DM Mathematics"
} |
nt from fubb. Give prob of sequence fubb.
1/12
What is prob of sequence up when two letters picked without replacement from {f: 2, p: 2, u: 1, k: 1, i: 2}?
1/28
What is prob of sequence pzw when three letters picked without replacement from {w: 2, p: 2, j: 6, v: 1, z: 4}?
8/1365
Two letters picked without replacement f... | {
"pile_set_name": "DM Mathematics"
} |
5165 (c) -0.8 (d) 0
c
What is the nearest to 347 in -0.62, 7, -2/7, 0?
7
What is the nearest to -5 in 1/7, 0, 268, 3, -41/2?
0
Which is the closest to 388? (a) -0.1 (b) -35 (c) -2/3 (d) -9
a
What is the closest to -8506/123 in 1/10, -0.5, -0.7, -4, -0.1?
-4
What is the nearest to 260 in 1, 15, -5/3, -61, 0.4, -0.... | {
"pile_set_name": "DM Mathematics"
} |
ggest value? (a) -1/5 (b) 1 (c) w (d) p
d
Let q = -6/521 - -1132/7815. Which is the fifth biggest value? (a) -3 (b) q (c) -4/5 (d) -1/4 (e) -17/3
e
Let w(u) = -27*u + 1 - 24*u + 52*u. Let v be w(-2). Let q be 3*(3 + (v - 40/12)). Which is the second smallest value? (a) 3 (b) q (c) -1 (d) 0
c
Let u = 35 - 3... | {
"pile_set_name": "DM Mathematics"
} |
6525, -3, 3
Sort 5, -13, -1576 in ascending order.
-1576, -13, 5
Put -2, 4, 3, -2162 in increasing order.
-2162, -2, 3, 4
Put -31, 2/9, 11.2, -5/4, 1/10, -2 in ascending order.
-31, -2, -5/4, 1/10, 2/9, 11.2
Sort 2, 9/2, -0.0236, 4, 0.5 in descending order.
9/2, 4, 2, 0.5, -0.0236
Sort 2, -0.3, 10/3, -59, 0.07.
-59, -0... | {
"pile_set_name": "DM Mathematics"
} |
is positive.
j**(-2331/4)
Simplify (l/(l/l**8)*l*l**4/l*(l**1/l*l)**(-2/9))/(((l/(l/(l/(l*l*l*l/l**(-2/5)*l))))/l)**37)**(2/3) assuming l is positive.
l**(6524/45)
Simplify ((((o/(o/((o**3*o*o)/o))*o*o)/o)/(o**(4/3)*o))/(o**(2/5)*o**(1/7)*o))/(((o*(o/o**6*o)/o*o)/(o**(-2)/o))/((o*o**(-5))/o**(-6))) assuming o is positi... | {
"pile_set_name": "DM Mathematics"
} |
*i + 32. Calculate k(21).
-10
Let k(d) = 14*d + 12. Calculate k(2).
40
Let v(x) = -18*x - 24. Determine v(-3).
30
Let d(n) = n**3 - 10*n**2 + 16*n - 24. Give d(8).
-24
Let o(a) = -9*a + 34. Calculate o(4).
-2
Let b(u) = 12*u**2 + 19*u - 18. Determine b(1).
13
Let p(j) = j - 5. Determine p(6).
1
Let o(c) = -c**2 - 3*c +... | {
"pile_set_name": "DM Mathematics"
} |
17. What is the tens digit of u?
3
What is the units digit of 6/10 - (-3 + 4692/(-30))?
0
Suppose -2*p - 5*p = -1673. Suppose 5*u - 2*v = v + p, 3*v = -9. What is the tens digit of u?
4
Let h(g) = 18*g**2 + g - 22. What is the hundreds digit of h(5)?
4
Let a = -13 + 23. Let p be (-30)/(-9)*a*9. What is the tens digit o... | {
"pile_set_name": "DM Mathematics"
} |
-4*l + l + 2*l + (4 - 2*l - 4)*(0 - 1 - 3))*(6*l - 7*l**2 - 6*l).
-98*l**4
Expand (-2 - 2*b + 2)*(0 - b + 0)*(42 - 62 - 54 - 2 + 3 + 0 + (-2 - 2 + 2)*(4 - 3 + 1)).
-154*b**2
Expand (-2*w - 14 + 14)*(-2 - 25 - 6)*(3*w**4 - 5*w**4 - w**4).
-198*w**5
Expand (-3*s + 4*s + 0*s)*(463 - 463 + 1856*s).
1856*s**2
Expand (q + 3*... | {
"pile_set_name": "DM Mathematics"
} |
-l**5 - l + l).
-36*l**5
Expand -23*v - 7*v - 49*v + (0*v - v + 0*v)*(2 - 3 - 1) + 1 - 1 - v.
-78*v
Expand (13*t - 2*t**2 - 13*t)*(-933*t + 125*t + 1330 - 2*t**2 - 1329).
4*t**4 + 1616*t**3 - 2*t**2
Expand (-4 + 4 - j)*(1444*j - 1000*j - 1285*j)*(2 + 2 - 5).
-841*j**2
Expand (1408*k - 2861*k + 1424*k)*(3 - 3 - 5).
145*... | {
"pile_set_name": "DM Mathematics"
} |
?
-33232
Which is greater: -1 or -1/1821111?
-1/1821111
Are 52 and -2340 unequal?
True
Which is smaller: 167687/5 or 33536?
33536
Which is bigger: 45143 or 45140?
45143
Is -23 less than -208?
False
Which is greater: 144/1373 or 4/7?
4/7
Is 4657 bigger than 4635?
True
Which is bigger: 1/10904641 or 1?
1
Is 1 equal to -7... | {
"pile_set_name": "DM Mathematics"
} |
+ 11962*r**3/5 + 71124*r**2/5 + 89408*r/5 - 9664/5 = 0.
-4, -2, 1/10, 604
Solve -2*c**2/3 + 27934*c/3 - 947444/3 = 0.
34, 13933
Factor h**2/7 + 34614*h/7 + 4448565/7.
(h + 129)*(h + 34485)/7
Suppose 72344*f**4/5 + 868092*f**3/5 + 694416*f**2 + 4628288*f/5 - 2304/5 = 0. Calculate f.
-4, 9/18086
Let -25372*d**4 - 101430... | {
"pile_set_name": "DM Mathematics"
} |
755?
-16406753
What comes next: 53322, 71145, 88968?
106791
What is the next term in 19709383, 19709382, 19709381?
19709380
What is next in 352, -368, -1052, -1700, -2312, -2888, -3428?
-3932
What is next in -653608, -653607, -653606, -653605, -653604, -653603?
-653602
What comes next: 165724, 662864, 1491432, 2651428,... | {
"pile_set_name": "DM Mathematics"
} |
is divided by n?
18
What is the remainder when 12633*(-8)/264*-11 is divided by 62?
57
Suppose 17*p - 998 - 1110 = 0. What is the remainder when p is divided by 37?
13
Let x = -3146 - -18415. Calculate the remainder when x is divided by 30.
29
Let m = -17067 - -17385. Calculate the remainder when 1536 is divided by m.
... | {
"pile_set_name": "DM Mathematics"
} |
k, and 1 e when four letters picked without replacement from {l: 2, k: 1, e: 1, h: 2}.
1/15
What is prob of picking 1 a and 1 s when two letters picked without replacement from {a: 1, l: 1, c: 1, x: 1, s: 1}?
1/10
Two letters picked without replacement from {d: 4, e: 2}. What is prob of picking 2 d?
2/5
What is prob o... | {
"pile_set_name": "DM Mathematics"
} |
ny minutes are there between 9:40 PM and 9:05 AM?
685
How many minutes are there between 6:16 AM and 9:01 AM?
165
What is 202 minutes before 8:59 PM?
5:37 PM
What is 82 minutes before 5:48 AM?
4:26 AM
What is 252 minutes after 8:40 PM?
12:52 AM
What is 514 minutes before 5:44 AM?
9:10 PM
What is 458 minutes before 9:31... | {
"pile_set_name": "DM Mathematics"
} |
q when four letters picked without replacement from {f: 3, o: 2, w: 1, b: 2, y: 3, q: 1}.
1/1980
Four letters picked without replacement from {b: 2, i: 2, m: 1, n: 8}. What is prob of sequence nini?
14/2145
Two letters picked without replacement from {y: 2, a: 1, z: 2}. What is prob of sequence za?
1/10
Two letters pic... | {
"pile_set_name": "DM Mathematics"
} |
5
Let s(g) = -g**3 + 11*g**2 - 5*g. Let l be s(10). Suppose -t + 100 = 4*v, 2*v - 4*v + 3*t + l = 0. What is the tens digit of v?
2
Let v be (-1 + (1 - 1))*-1. What is the units digit of 12*3/(7 - v)?
6
Suppose -4*m = -v - 15, -3*m + 5*v + 11 = m. Suppose h + 42 = 4*n, h + 12 = -m*n + 2. What is the units digit of (1 +... | {
"pile_set_name": "DM Mathematics"
} |
= -2990?
False
Is -161270 at most as big as -1128889/7?
True
Is -1 smaller than -212/3921?
True
Which is smaller: 148423 or -0.3?
-0.3
Which is bigger: 0.13 or -104554?
0.13
Is 1/5 at most 214.968?
True
Is -1 equal to -190/187?
False
Which is smaller: -1987172 or -0.1?
-1987172
Is -27 at least -1.2001?
False
Which is s... | {
"pile_set_name": "DM Mathematics"
} |
*j**2/21 - 2*j/3.
2*j*(j - 1)*(j + 1)*(j + 7)/21
Factor g**3 - g**2 - 10*g - 8.
(g - 4)*(g + 1)*(g + 2)
Factor 5*k**2/6 + 461*k/3 + 184/3.
(k + 184)*(5*k + 2)/6
Let -4*l**4 + 20*l**3 = 0. What is l?
0, 5
Find o such that o**3 + 6*o**2 + 9*o = 0.
-3, 0
Factor -5*d**5 + 85*d**4 - 200*d**3 - 1500*d**2.
-5*d**2*(d - 10)**2... | {
"pile_set_name": "DM Mathematics"
} |
. Let o be h(-7). Solve -v - o*v = u for v.
-2
Suppose -3*l - 12 = o - 4, 3*o - 3*l + 24 = 0. Let c be (-2)/o + 3/(-12). Solve c = -4*r - 5 - 3 for r.
-2
Let b be (120/(-5))/(-2) - -2. Suppose -3*y - 3*s = 9, 5*y + 4*s + b - 3 = 0. Solve 0 = j + y for j.
-1
Let d(j) = -4*j**3 - 6*j**3 + 7*j**3 + 4*j - 12 - 5*j**2 + 2*j... | {
"pile_set_name": "DM Mathematics"
} |
rder.
3/7, -1, -5, h
Let c be (-2)/8 + (-2)/(-8). Let r = -5 - c. Suppose -5*x - 12 = -2*w, -3*x + 2*x - 4*w = -2. Put x, r, -4 in descending order.
x, -4, r
Let g be (0 - 4/(-14))*7. Suppose -5*m - 21 = g*m. Let a be 110/(-8) - 18/(-24). Sort -2, a, m in decreasing order.
-2, m, a
Let x = -34.8 + 54.9. Let p = x - 20.... | {
"pile_set_name": "DM Mathematics"
} |
= -h. Let y(m) = m**2 - 8*m + 7. Let f be y(7). Let t(o) = 3*o + f*o + 4*o - o. What is z(t(w))?
-6*w
Let u(m) = -2 + 2 + 5*m**2. Let b(a) = -a - 2. Let j(x) = -x - 4. Let p(h) = -2*b(h) + j(h). Determine u(p(d)).
5*d**2
Let l(j) be the first derivative of 2*j**3/3 + 2*j**2 + 4*j - 5. Let d(k) = -5*k**2 - 11*k - 11. L... | {
"pile_set_name": "DM Mathematics"
} |
. Let t be 1 + (16/(-4) - w). Solve -z + t = 3 for z.
-3
Let c(r) be the second derivative of r**3/6 - 3*r**2/2 - 3*r. Let b be c(5). Let d be (3/b)/(1/2). Solve -d*a = 2*a for a.
0
Let w(i) = -i**3 - 2*i**2 - i + 1. Let x be w(0). Solve -7 - x = -4*k for k.
2
Let z be 0 - 5 - 54/(-3). Solve -f - 9 = -z for f.
4
Let p ... | {
"pile_set_name": "DM Mathematics"
} |
- 24*q + 55*q**2 + 8*q**3 - 16*q**2. Give l(-13).
-31
Let p(m) be the second derivative of m**4/12 + 8*m**3/3 - 16*m**2 - 33*m. Let s be p(-18). Suppose -63*c + 65*c - s = 0. Let g(v) = 8*v + 2. What is g(c)?
18
Let s(o) = o**3 - 10*o**2 + 8. Let r = 14526 - 14516. Give s(r).
8
Let w be (2/2)/(15/(-90)). Let q be 551/5... | {
"pile_set_name": "DM Mathematics"
} |
e?
False
Let s = 7 + 6. Suppose -s*q + 155 = -12*q. Is q prime?
False
Let j be (-3 + 0)/(6/(-40)). Is 6983/11 + j/110 a prime number?
False
Let a = -280 + 2333. Is a a prime number?
True
Let w(n) be the first derivative of -n**2/2 + 21*n + 13. Is w(7) composite?
True
Let k be (14/2)/((-1)/(-59)). Suppose -z + 401 = f, ... | {
"pile_set_name": "DM Mathematics"
} |
e the third derivative of w**5/30 + w**4/24 - 2*w**3/3 - 4*w**2. Calculate the lowest common multiple of ((-4)/(-1) - 1)*3 and c(-3).
99
Let x = -7163 - -7172. Calculate the least common multiple of x and 2/3 + (-7)/(-3).
9
Let l(i) = 68*i**3 - 2*i**2 + 2*i. Let s be l(2). Let t = 3121/6 - s. Find the common denominato... | {
"pile_set_name": "DM Mathematics"
} |
= 4 + -4. Suppose s = 3*j + 101, s + 4*j + i*j = 129. Is s prime?
True
Suppose 3*y - 6 = 0, -l - 2*l = y + 31. Let b = -7 - l. Suppose b*m + 0*m - 196 = 0. Is m a composite number?
True
Let g(h) = -519*h + 7. Let z be g(-4). Suppose z = 5*s - i - 488, i + 1029 = 2*s. Is s prime?
False
Suppose -5*u = -4*u - 1633. Is u a... | {
"pile_set_name": "DM Mathematics"
} |
9. Sort o, 0.5, 0.3.
0.3, 0.5, o
Suppose -86*f = -189*f + 515. Sort -396, f, -4 in descending order.
f, -4, -396
Let y be -4 - ((-1088)/156 - -3). Let u = -25/39 + y. Sort -1, u, -5.
-5, -1, u
Let m = 0 + -5. Let i = -10 + 8. Let b be 0 - (i/1 + 0). Sort -1/4, b, m in increasing order.
m, -1/4, b
Let t = -1 + 1.04. Let... | {
"pile_set_name": "DM Mathematics"
} |
, -14, -7, 5, 1 in descending order.
5, 1, s, -7, -14
Let n be -7*2/35*(-3 + 36/(-8)). Put -4, n, -20, -50 in ascending order.
-50, -20, -4, n
Suppose 0 = -0*u + 5*u + u - 6. Sort -2/3, u, 5, -4.9.
-4.9, -2/3, u, 5
Let g = 1696/4265 - -2/853. Let c = -21 + 21.56. Sort 0.3, g, c in descending order.
c, g, 0.3
Suppose -3... | {
"pile_set_name": "DM Mathematics"
} |
z = -166 - -171. Suppose 4*c + 4*m - 60 = 0, 4*c - z = 2*m + 85. Does 6 divide c?
False
Let i(j) = 200*j**2 + 60*j - 38. Is i(-8) a multiple of 69?
True
Let m = 34961 - 22030. Is m a multiple of 107?
False
Let m(u) = u**3 + 3*u**2 - 2*u - 1. Let d be m(-3). Let o(w) = -w**2 + 5*w - 2. Let x be o(d). Let i = x - -10. Is... | {
"pile_set_name": "DM Mathematics"
} |
ut -2, -21, 1, 6 in increasing order.
-21, -2, 1, 6
Sort 5, 0, -1, 1, 144 in ascending order.
-1, 0, 1, 5, 144
Put -3, -2, 940, 5 in decreasing order.
940, 5, -2, -3
Sort 6, 54, -4, 5 in ascending order.
-4, 5, 6, 54
Sort -2/15, -0.2, 913 in decreasing order.
913, -2/15, -0.2
Sort -2, 0, -2/9, -92 in increasing order.
... | {
"pile_set_name": "DM Mathematics"
} |
-f + 6*y - 10*y. What is f rounded to the nearest 10000?
0
Let m = -881475 - 75525. What is m rounded to the nearest ten thousand?
-960000
Suppose 0 = 31*y - 17*y - 28. Let t = 3896101 + -1216101. Suppose 10*g + t = y*g. What is g rounded to the nearest 10000?
-340000
Let f(k) = -13779*k + 16. Let s(t) = 5*t**2 + t**3 ... | {
"pile_set_name": "DM Mathematics"
} |
34 = -50. Let w = x - -37. Let r = w + -3. What is the remainder when r is divided by 8?
5
Let z(i) = 9*i**2 + 4*i + 5. What is the remainder when z(-2) is divided by 9?
6
Let i(w) = 7*w**3 + 2*w**2 + 6*w - 11. Let b(m) = 13*m**3 + 5*m**2 + 11*m - 22. Let y(d) = -6*b(d) + 11*i(d). What is the remainder when y(-8) is d... | {
"pile_set_name": "DM Mathematics"
} |
ters of a minute in seconds?
765
How many decades are there in 7/2 of a millennium?
350
Convert 287.7058 litres to millilitres.
287705.8
What is six fifths of a meter in millimeters?
1200
How many micrometers are there in 7/2 of a centimeter?
35000
Convert 189.353 millimeters to kilometers.
0.000189353
Convert 69428.98... | {
"pile_set_name": "DM Mathematics"
} |
ound -31435120 to the nearest one million.
-31000000
What is 164.657 rounded to 1 dp?
164.7
Round -0.000654947 to 5 dps.
-0.00065
Round -75.23465 to the nearest ten.
-80
What is -72.53304 rounded to the nearest integer?
-73
What is 0.0053126339 rounded to five dps?
0.00531
What is -0.00000059658 rounded to six decimal ... | {
"pile_set_name": "DM Mathematics"
} |
mon denominator of i and 21/4?
12
Let g = -787870/387 - 45778/43. Let w = 3104 + g. Calculate the common denominator of w and 12/7.
63
Let h = 0 + 0. Suppose -4*s - 4 = -3*p, h*s - 5 = 5*s. Suppose -4*r + 20 = p, 0*r = 5*n + 4*r - 120. Calculate the least common multiple of 22 and n.
220
Suppose -2*c = -5*f + 3, 11*f =... | {
"pile_set_name": "DM Mathematics"
} |
49. Determine k*o(n) + 3*x(n).
-2*n - 49
Let r(o) = -2*o**2 - 14*o - 5. Let m(z) = 126 + 121 - 373 + 127. Give 5*m(g) + r(g).
-2*g**2 - 14*g
Let w be (-10 - 117/(-26)) + 65/26. Let o(f) = -2*f - 4*f + 0 - 2. Let t(h) = 5*h + 3. Determine w*t(v) - 4*o(v).
9*v - 1
Let w(l) = l - 2. Let r(k) = -76. Let s(z) = 15. Let p(y... | {
"pile_set_name": "DM Mathematics"
} |
t a = 1238 - 1195. Is 40 less than a?
True
Let i = -90.6 + 91. Let y = i - 0.6. Let p = 155 - 615/4. Is y >= p?
False
Let n = 293/12 + -209791/8592. Which is smaller: n or 0?
n
Let f be -7 + 5 - 5 - (0 - -1). Which is smaller: f or -11?
-11
Let t be -4 + 8/((-2)/(-2)). Suppose -14 = -3*h + 4*a, 0 = -t*a - 10 - 10. Let ... | {
"pile_set_name": "DM Mathematics"
} |
is p(t(z))?
14*z**2
Let z(v) be the first derivative of 2*v**3/3 - 22. Let j(c) = 61*c. Calculate j(z(i)).
122*i**2
Let v(j) = 295 + j**2 - 151 - 144. Let c(t) = -2*t**2 - 48*t. Calculate v(c(f)).
4*f**4 + 192*f**3 + 2304*f**2
Let w(m) = 4*m. Let r(s) = -44*s. Give r(w(b)).
-176*b
Let o(x) = -x**2. Let r = -7 - -14. Le... | {
"pile_set_name": "DM Mathematics"
} |
2*g**2 - 4*g)*(-2*g**2 - g**2 + g**2) + 7*g**4 - g**4 - g**4.
10*g**4
Expand (2*r - 3*r + 4*r)*(0*r**3 - 2*r**3 + 0*r**3)*(-3*r - 3*r + 16*r).
-60*r**5
Expand 3 - 3 + o + (3 - 1 - 6)*(2*o - 3*o + 2*o).
-3*o
Expand 2*y - 2*y + 2*y**5 + (-2*y**3 + 6*y**3 - 2*y**3)*(2*y**2 + 1 - 1) - y**2 + 2*y**5 - 5*y**4 - y**4 + 4*y**4... | {
"pile_set_name": "DM Mathematics"
} |
-0.295
What is -0.000001236006486 rounded to six decimal places?
-0.000001
What is 797142.034 rounded to the nearest ten thousand?
800000
What is -30.2667716 rounded to 1 decimal place?
-30.3
What is -0.2772194444 rounded to 2 decimal places?
-0.28
Round -2.308419699 to two decimal places.
-2.31
What is -38427419300 ro... | {
"pile_set_name": "DM Mathematics"
} |
= -3*y - 0*a + 24, 16 = 2*y - a. Let n(r) = -r + 13. Let g be n(y). What is the third derivative of -12*d**6 + 8*d**2 + 20*d**6 + g*d**2 wrt d?
960*d**3
Let k(v) be the first derivative of -271*v**5/5 + v**4/2 - v**3/3 + 1206*v**2 - 1297. What is the second derivative of k(w) wrt w?
-3252*w**2 + 12*w - 2
Let z(j) be th... | {
"pile_set_name": "DM Mathematics"
} |
*(sqrt(72) + -1))**2 + (sqrt(72) - 5*(sqrt(72)*-1 + sqrt(72))) + 2*sqrt(72) + 4.
-342*sqrt(2) + 752
Simplify (3 + sqrt(15)/sqrt(3) - (sqrt(5) + -4)*4)*-5 + -4.
-99 + 15*sqrt(5)
Simplify (sqrt(272) + sqrt(272)*1*5 + -4 + -4*(sqrt(272) + 0)*6)**2.
576*sqrt(17) + 88144
Simplify 0 + 5*-1*sqrt(11)*-1*4.
20*sqrt(11)
Simplify... | {
"pile_set_name": "DM Mathematics"
} |
implify sqrt(7) + (sqrt(7) - ((sqrt(35)/sqrt(5)*2)**2 + sqrt(7))) + 5.
-23 + sqrt(7)
Simplify -3*(sqrt(76) + 2).
-6*sqrt(19) - 6
Simplify (sqrt(44)*-5)**2*-4.
-4400
Simplify -4*sqrt(20)/sqrt(10) - (sqrt(128) + 1).
-12*sqrt(2) - 1
Simplify (-4 + 4 + sqrt(8)/sqrt(4) + sqrt(2) + -5)**2.
-20*sqrt(2) + 33
Simplify sqrt(2) -... | {
"pile_set_name": "DM Mathematics"
} |
0).
16
Let w(f) = -2*f + 13. Give w(10).
-7
Let p(w) = -w**2 + w + 1. Determine p(0).
1
Let b(v) = 82*v - 163. Determine b(2).
1
Let y(h) = -h**2 + 5*h. Determine y(1).
4
Let g(y) = -7*y + 15. What is g(1)?
8
Let n(k) = k**2 - 26*k + 5. Calculate n(25).
-20
Let b(v) = v**2 + 31*v - 94. Give b(-35).
46
Let z(o) = o**2 -... | {
"pile_set_name": "DM Mathematics"
} |
t from {r: 3, a: 1, k: 3, w: 1, t: 2, p: 3}. Give prob of sequence pr.
3/52
Calculate prob of sequence kaa when three letters picked without replacement from {k: 4, f: 1, a: 9, m: 2}.
3/35
Two letters picked without replacement from {o: 3, p: 1, m: 3}. What is prob of sequence oo?
1/7
What is prob of sequence vv when t... | {
"pile_set_name": "DM Mathematics"
} |
5451
Convert 3312 (base 4) to base 12.
186
11170 (base 8) to base 10
4728
Convert -296c (base 13) to base 9.
-8212
Convert -962 (base 13) to base 4.
-121001
Convert 2471 (base 9) to base 5.
24341
Convert -40c (base 14) to base 3.
-1002111
Convert -10000100101 (base 2) to base 10.
-1061
Convert -17062 (base 9) to base 1... | {
"pile_set_name": "DM Mathematics"
} |
ch is the nearest to 0.1? (a) z (b) m (c) 3
b
Let y be (-25)/(-366)*88/(-20). Let r = 2/61 - y. Suppose 3*u - f = 2*f + 12, -3*f = u + 4. What is the nearest to 1 in r, u, 3/4?
3/4
Let t = -0.05 + -0.25. Let u = t - -0.5. What is the nearest to -0.2 in -3, u, -5?
u
Let j = -11 + 14. Suppose s = -0*d + 3*d + 1, 3 = j... | {
"pile_set_name": "DM Mathematics"
} |
71*f - 9*c, 0 = -2*f + 3*c - 2*c for f.
0
Solve -836*n + 836*n - q + 0*q - 44 = 0, 19*n = -2*q - 88 for n.
0
Solve 270*q - 131*q + 4 = 137*q, 44*z + 28 = 41*z + q for z.
-10
Solve 4*g = -4*b - 24, 0 = -571*g + 561*g for b.
-6
Solve -4*b - 84 = -83*l, -21*b + 39*b + 5*l + 105 = 13*b for b.
-21
Solve 0 = 1566*p - 1565*p... | {
"pile_set_name": "DM Mathematics"
} |
d 2:44 PM?
414
How many minutes are there between 1:10 PM and 3:16 PM?
126
How many minutes are there between 8:50 AM and 8:54 AM?
4
What is 508 minutes after 12:02 PM?
8:30 PM
How many minutes are there between 1:29 AM and 11:28 AM?
599
What is 609 minutes after 11:41 PM?
9:50 AM
How many minutes are there between 5:0... | {
"pile_set_name": "DM Mathematics"
} |
derivative of 0*q**2 - 4 - 35/6*q**m + 5/12*q**4 + 9*q. Suppose k(a) = 0. Calculate a.
0, 7
Factor -212/3*v**3 - 2/3*v**5 + 140/3*v**2 + 38/3*v**4 + 686/3 + 1078/3*v.
-2*(v - 7)**3*(v + 1)**2/3
Suppose 5*o + o = -1032. Let l be o/(-6) + (-16)/(-48). Factor g + 16*g**2 - l*g - 29*g**2 - 4.
-(g + 2)*(13*g + 2)
Let x(z) ... | {
"pile_set_name": "DM Mathematics"
} |
d smallest value in 4/45, 2/3, 0.3, 5, -300/17, -16, -3?
-3
Which is the biggest value? (a) -0.1 (b) -2/9 (c) -120 (d) 53340
d
What is the smallest value in 3/8, -4, 0.13, -0.07943?
-4
Which is the fourth smallest value? (a) -235700 (b) -0.3 (c) -0.01 (d) 1.2
d
Which is the biggest value? (a) 266 (b) 3 (c) 0... | {
"pile_set_name": "DM Mathematics"
} |
Solve 5947 = -195*a - 118*a for a.
-19
Solve -78*r = 1186 + 296 for r.
-19
Solve -173*f - 175 = -148*f for f.
-7
Solve -436*q + 88*q - 7308 = 0 for q.
-21
Solve 13*j - 15*j = 19*j - 189 for j.
9
Solve -77*x + 115 + 424 = 0 for x.
7
Solve 15*u + 10 = -4*u + 9*u for u.
-1
Solve -55*h + 2752 = 63*h + 54*h for h.
16
Solve ... | {
"pile_set_name": "DM Mathematics"
} |
b) 3 (c) -5
b
What is the closest to 1.3 in -2, -0.2, 0.6, -0.3?
0.6
What is the nearest to 3/4 in -4, -0.1, -1/5, 2/45?
2/45
What is the nearest to -1/23 in -1, -1/10, 2/19?
-1/10
Which is the nearest to 4? (a) 1/2 (b) 3 (c) -3/7 (d) -4/3
b
What is the nearest to -4.3 in -4, 5, 3/4, 4?
-4
Which is the closest to ... | {
"pile_set_name": "DM Mathematics"
} |
**3*x**3 + 29*d**3 + 957*d**2*x**5 - d**2*x + 6*d*x wrt x?
-6*d**3*x + 19140*d**2*x**3
Find the second derivative of 809*d*g**2*i**2 + 12*d*g*i**2 + 2*g*i**2 - 12 wrt g.
1618*d*i**2
What is the third derivative of n**6 - 12249*n**3 - 5833*n**2 wrt n?
120*n**3 - 73494
Find the third derivative of -5*y**5*z**2 + 71*y**4*... | {
"pile_set_name": "DM Mathematics"
} |
etters picked without replacement from vvvvttvv.
3/14
Two letters picked without replacement from qunujnnnnz. Give prob of sequence jz.
1/90
Three letters picked without replacement from {z: 12, o: 3, g: 2, b: 1, f: 1}. What is prob of sequence zfz?
22/969
What is prob of sequence nn when two letters picked without rep... | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in 104 - g**2 - 49 - 55.
-g**2
Collect the terms in -3*u - 4040*u**3 + 3*u.
-4040*u**3
Collect the terms in z + 191 - 191.
z
Collect the terms in -9*h - 3*h - 8*h + 24*h.
4*h
Collect the terms in 32 + 2*j**3 - 70 + 38.
2*j**3
Collect the terms in 8*z + 7*z - 19*z + 14*z.
10*z
Collect the terms in 11 - 4... | {
"pile_set_name": "DM Mathematics"
} |
5*f. Suppose a*k = 6*k + 450. What is the remainder when k is divided by 23?
21
Let n = -14 + 40. Calculate the remainder when 77 is divided by n.
25
Let z be (3 - (2 + -1))*4. Let c = 10 - z. Calculate the remainder when 6/1*1/2 is divided by c.
1
Calculate the remainder when 132 is divided by 6/(-14) + (-101)/(-7) + ... | {
"pile_set_name": "DM Mathematics"
} |
**3 - 6048*g**3*n - 3*g**3 + 3358121*g**2*n**2 + 11*g*n**3 wrt g.
-72*n**3 - 36288*n - 18
Find the first derivative of -5*i*l - 123*i*v**2 - 106*i*v + 817561*l**2*v**2 + 3*v**2 + 41*v wrt l.
-5*i + 1635122*l*v**2
What is the derivative of -66*c**2*d - 526*c**2 + 48*c*d - 7*c + 2271*d + 14075 wrt c?
-132*c*d - 1052*c + ... | {
"pile_set_name": "DM Mathematics"
} |
e highest common divisor of y and 12?
12
Let p(h) = 1. Let o(f) = -2*f. Let g(q) = o(q) - 5*p(q). Let y be g(-10). What is the greatest common divisor of y and 75?
15
Suppose 6 = 3*s - 45. What is the greatest common divisor of 68 and s?
17
Let k be 192/(-4)*(-12)/9. What is the greatest common divisor of 8 and k?
8
Su... | {
"pile_set_name": "DM Mathematics"
} |
73, 34739
List the prime factors of 196675860.
2, 3, 5, 499, 6569
List the prime factors of 323282789.
323282789
What are the prime factors of 83692536?
2, 3, 3487189
List the prime factors of 51583774.
2, 11, 2344717
What are the prime factors of 80392636?
2, 23, 41, 21313
List the prime factors of 18092645.
5, 59, 61... | {
"pile_set_name": "DM Mathematics"
} |
= -3*j(a) + n(a). Let p(f) = 2*f. Give w(p(z)).
2*z + 4
Let c(l) = -61 + 4*l + 61. Let a(s) = 2935*s**2 + 2932*s**2 - 8742*s**2 + 2909*s**2. Calculate c(a(m)).
136*m**2
Let l(s) be the first derivative of -2*s**2 + 13*s + 11825. Let a(p) = 65*p. Calculate l(a(c)).
-260*c + 13
Let k(v) = -1842*v**2. Let z(c) = 7*c - 2. ... | {
"pile_set_name": "DM Mathematics"
} |
74).
41
Let m(k) = -4426*k - 4302117. What is m(-972)?
-45
Let k(d) = -d**3 - 12*d**2 - 16*d - 6. Calculate k(-9).
-105
Let f(d) = 2*d**2 - 727*d - 232307. What is f(568)?
5
Let a(n) = -n**3 - 363*n**2 + 692*n - 13803. Give a(-365).
67
Let i(k) = 588*k**2 - 52337*k + 444. What is i(89)?
-1
Let h(o) = -7163*o**2 - 35098... | {
"pile_set_name": "DM Mathematics"
} |
- 6 for s.
2
Suppose -7*s = s + s. Solve -l - 107 + 111 = s for l.
4
Suppose 5*t = 10*t - 35. Let k(v) = v**2 - 3*v. Let c be k(t). Solve 4*j = -c + 8 for j.
-5
Let p(o) = -2*o - 23. Let l be p(-15). Solve l*b + 45 = 16*b for b.
5
Suppose 0*v + 12 = -2*s + 2*v, -2*v + 6 = -s. Let u be (-24)/(-36) - 8/s. Solve -u + 0 = ... | {
"pile_set_name": "DM Mathematics"
} |
0. What is k?
-19, 1, 4
Solve -21*r**5 - 2217*r**4 - 55767*r**3 + 144513*r**2 - 112752*r + 26244 = 0.
-54, 3/7, 1
Factor j**2 - 68*j - 140.
(j - 70)*(j + 2)
Find n such that 4*n**2 + 112*n + 640 = 0.
-20, -8
Factor -15*x**2/8 - 93*x/8 - 9/4.
-3*(x + 6)*(5*x + 1)/8
Factor -x**4 - 4*x**3 + 3*x**2 + 18*x.
-x*(x - 2)*(x +... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*w**3 - 45*w - 5 wrt r.
1204*r*w**2 + 32*r - w**3
Find the third derivative of 2*c**2*l**3*t**3 - 7*c**2*l**3 - 36*c**2*l*t**3 - 50*c**2*t**2 + 3*t**3 wrt t.
12*c**2*l**3 - 216*c**2*l + 18
What is the second derivative of c**2*q**3 - 3*c**2*q + c**2 - 2*c*q**3 - 2*c*q**2 + 2*c*q + 728*q**2 + 991*q wrt q?
6*c**2*q -... | {
"pile_set_name": "DM Mathematics"
} |
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