text stringlengths 270 8.19k | meta dict |
|---|---|
Put -21.5, 0, 0.1, -3/7, -5 in decreasing order.
0.1, 0, -3/7, -5, -21.5
Sort -3, 29, 5, 525.
-3, 5, 29, 525
Sort 264, -50, -4, 2.
-50, -4, 2, 264
Sort 3129, -4, 5, 2 in ascending order.
-4, 2, 5, 3129
Sort 1/10, -6.5, -1/3, 4/3, 2/5, -5 in decreasing order.
4/3, 2/5, 1/10, -1/3, -5, -6.5
Put 1, -3, -1062, -73 in incre... | {
"pile_set_name": "DM Mathematics"
} |
2*r**3/3 + 3*r**2 + 40*r + 1. Give p(i).
-6
Let y(l) = l**2 + 5*l + 2. Suppose 0 = 2*w - 20*w + 432. Suppose -d = -1, 0*n + 4*d - w = 5*n. Calculate y(n).
-2
Suppose 5*v - v + 3*w - 34 = 0, -3*v = 5*w - 31. Let q = 13 - v. Let s(u) be the second derivative of u**5/20 - u**4/2 - 2*u**2 + 2*u. Calculate s(q).
-4
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
, 4?
-1/9
What is the closest to -10/13 in 0.1, -2, 2/19, -1?
-1
What is the nearest to 0 in -5/2, -8, 0, 1/3?
0
What is the closest to -1 in -1.5, 2/9, -6, 6/5?
-1.5
What is the nearest to 29 in -16, -0.5, 0.8, -4?
0.8
What is the nearest to 1 in 0, -3, -1, 53?
0
What is the nearest to 0 in 53, -5, 3, -4?
3
What is th... | {
"pile_set_name": "DM Mathematics"
} |
of x?
0
Let x be (-4 + 2)*(-1)/2. Let l be x/((-4)/324*-1). Let n = l + 73. What is the hundreds digit of n?
1
Let n(f) = 7*f - 57*f + 110 + 36*f. What is the tens digit of n(-26)?
7
Suppose -d + 4*d = p + 265, 2*d + 1018 = -4*p. Let y be 2/(-6) - p/48. Suppose -190 = -y*h + 2*q, -2*h + 0*q - 3*q = -57. What is the un... | {
"pile_set_name": "DM Mathematics"
} |
Let d = 20.99999938 - w. What is d rounded to seven dps?
-0.0000006
Let y(r) = -35*r**3 + 9*r**2 - r - 5. Let g(z) = 17*z**3 - 4*z**2 + 2. Let l(t) = 5*g(t) + 2*y(t). Let f be l(-2). What is f rounded to the nearest ten?
-120
Let c = -907045.9959 - -907090. Let t = c + -44. Round t to 3 decimal places.
0.004
Let f = -9... | {
"pile_set_name": "DM Mathematics"
} |
3 + 4 - -3) + (-6 - 1)
-3
What is the value of 1 - (0 + (13 - 2))?
-10
Evaluate -5 - -7 - (-1 - -1 - -2).
0
What is the value of 0 + (5 - (0 - (0 - 3)))?
2
What is -9 - (3 - 13) - -2?
3
What is the value of (1 + 1 - (-1 - -5)) + 5?
3
Evaluate (3 - 1) + (-6 - 4 - -7).
-1
What is 0 - (-3 + (0 + -3 - -6))?
0
Evaluate (3 -... | {
"pile_set_name": "DM Mathematics"
} |
/169, -1, 0.5, 6/11?
6/11
What is the nearest to -22 in -3/40, 0.2, -3/14, 7?
-3/14
What is the closest to 4 in -96.7, -0.51489, 0?
0
What is the nearest to 0.05 in 0, 3/4, 0.022?
0.022
What is the closest to 1 in -1/4, 0.4, 167/4, -0.0528, 4/7?
4/7
Which is the closest to -1816? (a) -12 (b) 4 (c) 1
a
What is the ne... | {
"pile_set_name": "DM Mathematics"
} |
3 + 24. Let o(b) = 32*b + 4. Let m be o(i). Let h = m + 39. What are the prime factors of h?
3, 5
Let u = -239 - -341. Suppose -p + 3*p = u. List the prime factors of p.
3, 17
Let h(j) = -2 + j**3 - 10*j**2 + j + 12*j + 1. Suppose 0 = -2*k + 47 - 29. List the prime factors of h(k).
5, 7
Let j(h) = -h**2 - 2*h + 37. Let... | {
"pile_set_name": "DM Mathematics"
} |
st 10.
210
What is 0.14575048 rounded to five dps?
0.14575
Round -3130.3889 to 0 dps.
-3130
Round 0.00005709962 to six decimal places.
0.000057
What is -0.000104456 rounded to 6 dps?
-0.000104
What is -544864.3 rounded to the nearest one hundred?
-544900
Round 71193000 to the nearest one hundred thousand.
71200000
Roun... | {
"pile_set_name": "DM Mathematics"
} |
ue
Suppose 0 = -2*l + 5*u - 30, -2*u - 46 = 8*l - 3*l. Let d(z) = -7*z + 6. Is 23 a factor of d(l)?
False
Suppose -19*v + 7542 = -10*v. Suppose -h - 5*s + 159 = -19, s + v = 5*h. Is h a multiple of 8?
True
Let q(i) = -i**3 + 7*i + 15*i - 3*i**2 - 18*i - 1 + 4. Is 16 a factor of q(-6)?
False
Let j be 4 - (-52 - (-2 + 3)... | {
"pile_set_name": "DM Mathematics"
} |
are there in one tenth of a kilogram?
100000
What is five eighths of a litre in millilitres?
625
How many minutes are there in thirteen fifths of a hour?
156
What is 15/4 of a day in minutes?
5400
Convert 42070.84 years to millennia.
42.07084
Convert 11.09525 micrometers to centimeters.
0.001109525
What is 1.538883 mi... | {
"pile_set_name": "DM Mathematics"
} |
d. Calculate the remainder when r is divided by 23.
22
Let f(j) = -j**2 + 3*j - 2. Let l be f(2). Suppose 0 = h + 3, 4*c + c - 4*h - 182 = l. What is the remainder when c is divided by 12?
10
Suppose -5*o + 24 = -2*q - 27, 0 = 3*o + 4*q - 41. What is the remainder when o is divided by 6?
5
Let j be (1 - 0) + -2 + 4. S... | {
"pile_set_name": "DM Mathematics"
} |
3 + 4*l)*(-20 + 4 - 30) in the form z*l + w and give z.
-187
Express 2620 - 276*o - 2620 in the form q*o + i and give q.
-276
Express -2*j**4 - j + 31*j**3 - 65*j**3 + 31*j**3 + 8 in the form w + k*j + o*j**4 + p*j**2 + c*j**3 and give o.
-2
Rearrange (-2*y**2 + y**2 + 3*y**2)*(-91*y - 47*y + 8 + 144*y) to x*y**2 + q*y... | {
"pile_set_name": "DM Mathematics"
} |
) = i**2 + 2*i + 3. Let z be n(-2). Suppose 2*v - 175 = -z*v. Does 10 divide v?
False
Suppose -52 = -2*q + 32. Is q a multiple of 14?
True
Let f(y) = 2*y**3 + 2*y - 2. Let q be f(3). Let n = q + -25. Suppose 5 = g - n. Is g a multiple of 19?
True
Let i(r) = r**2 + 3*r + 4. Let n be i(-3). Let a = -2 + n. Suppose -a = 2... | {
"pile_set_name": "DM Mathematics"
} |
vided by 20.
16
What is the remainder when 111 is divided by 47?
17
What is the remainder when 146 is divided by 39?
29
What is the remainder when 146 is divided by 21?
20
What is the remainder when 290 is divided by 24?
2
What is the remainder when 24 is divided by 3?
0
Calculate the remainder when 647 is divided by 2... | {
"pile_set_name": "DM Mathematics"
} |
0/55 - 7)?
0
Let p(o) = 6*o**3 + 4*o**2 - 5*o + 4929. What is the tens digit of p(0)?
2
Let a(d) = 3*d**2 - 41*d - 144. What is the units digit of a(65)?
6
Suppose 5*g - 175 = 2*d, -3*g - 2*g - 4*d + 175 = 0. Let v be 80/g - (-2)/(-7). Suppose 0 = -v*n + 203 + 17. What is the hundreds digit of n?
1
Suppose 0 = -9*v + 8... | {
"pile_set_name": "DM Mathematics"
} |
e a(-3). Let f = 47 - x. List the prime factors of f.
19
Suppose -j + 62 = -61. What are the prime factors of j?
3, 41
Suppose 12 + 6 = 2*s. Suppose 3*w - s = -0*w. What are the prime factors of w + 1 + (-2)/1?
2
Let z(j) = -j**2 + 4. Suppose -4*m = -4*g - 8, 4*g + 4 = 3*m - 4. What are the prime factors of z(m)?
2
Let... | {
"pile_set_name": "DM Mathematics"
} |
50
What is 969423.2 minutes in seconds?
58165392
What is 71.07261m in kilometers?
0.07107261
How many months are there in 5.93205 centuries?
7118.46
What is 249.28725 months in centuries?
0.207739375
What is 1/5 of a litre in millilitres?
200
How many decades are there in thirty-one fifths of a century?
62
How many mil... | {
"pile_set_name": "DM Mathematics"
} |
(x) = -4*x**3 + 2. Determine 7*g(v) + 2*j(v).
-2*v**3
Let k(t) = t**2 + 11*t - 9. Let w(j) = j**2 + 6*j - 5. Give 3*k(i) - 5*w(i).
-2*i**2 + 3*i - 2
Let c(d) = 2*d**2 - 2*d - 2. Let o(x) = x**3 - 8*x**2 + 8*x + 9. Let w be (-4 + 2 - -1)*2. What is w*o(r) - 9*c(r)?
-2*r**3 - 2*r**2 + 2*r
Let p(z) = 3*z**2 + 17*z - 1. Le... | {
"pile_set_name": "DM Mathematics"
} |
Which is the third smallest value? (a) l (b) -2 (c) 3/5
c
Let n = 169 + -170. Which is the second smallest value? (a) -1/4 (b) 5 (c) 3.4 (d) n
a
Let s = 2.0304 - 0.0504. Let p = -0.08 + 0.1. Let t = p + s. What is the smallest value in t, -2, -5?
-5
Let p = -0.58 + 0.88. What is the third biggest value in 1/2, -... | {
"pile_set_name": "DM Mathematics"
} |
1792*g**4/11 + 536402*g**3/11 + 53994620*g**2/11 + 106387192*g/11 + 52927184/11.
2*(g + 1)**2*(g + 298)**3/11
Solve 8*w**2 + 578*w - 438 = 0 for w.
-73, 3/4
Determine h so that 2*h**3 - 63*h**2/4 - 2*h = 0.
-1/8, 0, 8
What is m in -4*m**4/7 - 44*m**3/7 + 156*m**2/7 - 164*m/7 + 8 = 0?
-14, 1
Solve -5*a**2 - 115*a - 110... | {
"pile_set_name": "DM Mathematics"
} |
m be 3 - (-5)/(10/14). Suppose -4*j = 2*h + m, 9*j = -2*h + 7*j - 2. Let b = h - -7. Solve -3*o + b = -2*d + 25, 4*d - 12 = 0 for o.
-3
Let y(f) = -f**3 + 8*f**2 + 122*f - 394. Let q be y(3). Solve -4*w = -7*u + 3*u - 24, -3*w + q = -2*u for u.
-1
Let p(v) = v**3 - v**2 - 4*v + 6. Let t be p(0). Let s be 0/(1/1*t + -8... | {
"pile_set_name": "DM Mathematics"
} |
ment from {c: 3, x: 1, r: 1, m: 1, l: 1}?
1/42
Two letters picked without replacement from {h: 1, s: 2, v: 2}. What is prob of sequence vh?
1/10
Calculate prob of sequence yzy when three letters picked without replacement from rrzyuxyyzzxuy.
3/143
Three letters picked without replacement from {b: 1, l: 1, u: 2, m: 3}. ... | {
"pile_set_name": "DM Mathematics"
} |
-3. Let z = 111.71 - 115.71. Which is greater: z or y?
y
Let y = 30 + -21. Let m = 906.03 + -912. Let x = 6 + m. Which is bigger: y or x?
y
Let c be (-2 + 3 + 0)/(275/25 - -804). Is c greater than -1?
True
Let a(h) = -19*h - 24. Let z be a(-6). Let l = z - 88. Let x be (6 - 7)*(l/2 - -12). Which is smaller: x or 1?
x
L... | {
"pile_set_name": "DM Mathematics"
} |
Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {a: 2, y: 1, u: 5, p: 1, r: 3}.
1/11
Calculate prob of picking 1 t, 1 q, and 1 j when three letters picked without replacement from jjttkkutqk.
1/20
Calculate prob of picking 1 i, 1 m, and 1 y when three letters picked without repl... | {
"pile_set_name": "DM Mathematics"
} |
What is the remainder when 232988 is divided by 48?
44
What is the remainder when 379146 is divided by 379139?
7
What is the remainder when 21464 is divided by 21005?
459
Calculate the remainder when 8308 is divided by 20.
8
Calculate the remainder when 342 is divided by 170.
2
Calculate the remainder when 2163 is div... | {
"pile_set_name": "DM Mathematics"
} |
t is the hundred thousands digit of 848891?
8
What is the ten thousands digit of 1375413?
7
What is the tens digit of 4446149?
4
What is the hundreds digit of 16002257?
2
What is the units digit of 627949?
9
What is the hundreds digit of 372756?
7
What is the hundreds digit of 237480?
4
What is the ten thousands digit ... | {
"pile_set_name": "DM Mathematics"
} |
k?
True
Let r(l) = -135*l**3 + 2*l**2 - 5027*l + 5027*l. Does 48 divide r(-1)?
False
Let u = 7122 + -4863. Suppose 2*o - 3*l - 1513 = 2*l, -u = -3*o - 3*l. Is 30 a factor of o?
False
Let f(j) = -29*j**2 - 12*j - 5. Let w(k) = 56*k**2 + 24*k + 9. Let u(v) = -7*f(v) - 3*w(v). Does 20 divide u(-4)?
True
Let o(i) be the th... | {
"pile_set_name": "DM Mathematics"
} |
hat is -27353.6747 rounded to the nearest 10?
-27350
Round 141379.921 to the nearest 1000.
141000
Round -477.324132 to the nearest 10.
-480
What is -0.0000074545894 rounded to 6 dps?
-0.000007
What is -0.052765113 rounded to 2 decimal places?
-0.05
Round -64.6672153 to the nearest integer.
-65
What is -0.00434469958 ro... | {
"pile_set_name": "DM Mathematics"
} |
808700000
How many micrometers are there in thirteen eighths of a centimeter?
16250
What is 3.045213 millennia in decades?
304.5213
How many millilitres are there in 27/5 of a litre?
5400
What is fifty-three quarters of a tonne in kilograms?
13250
What is 23/3 of a millennium in months?
92000
How many millilitres are t... | {
"pile_set_name": "DM Mathematics"
} |
suming f is positive.
f**(-1430/3)
Simplify p**(3/5)*p*p**(-4)*p*p**(17/4)*p*p*p**23 assuming p is positive.
p**(557/20)
Simplify ((n*n**(-2/3)/n)**(-34)/(n**8*n**(3/10)))/(n**7*n**(-4/5)*(n*n**(1/3))/n*n**6) assuming n is positive.
n**(11/6)
Simplify ((p**(-4/5)/((p/(p*(p*p**(1/4))/p*p*p*p))/p))/((p*p**(-1)*p)/p)**4)/... | {
"pile_set_name": "DM Mathematics"
} |
is smaller: -1 or 459?
-1
Is -2/23363 at least -1?
True
Which is smaller: 5/601 or 0?
0
Is 154 <= 156?
True
Which is bigger: 2/165 or 1?
1
Is -125 at most as big as -121?
True
Which is smaller: 0 or 1/4252?
0
Is -1/3 less than or equal to 0.789?
True
Which is smaller: -87 or -1150/13?
-1150/13
Which is bigger: 0 or -18... | {
"pile_set_name": "DM Mathematics"
} |
Let p be r(-4). Round p to the nearest 100000.
-500000
Let b = -710283524.9841853 - -710283493. Let x = 17.98418497 + b. Let a = -14 - x. What is a rounded to seven decimal places?
0.0000003
Let h = 0.11 - -0.934. Let f = h - 0.95. What is f rounded to 2 dps?
0.09
Let r = 0.56642 - 0.56. Let o = r + -0.007. Round o to ... | {
"pile_set_name": "DM Mathematics"
} |
alse
Does 38 divide 155648?
True
Is 876377622 a multiple of 5950?
False
Is 66961980 a multiple of 3324?
True
Is 74 a factor of 1088310227?
False
Is 955323925 a multiple of 8275?
True
Is 11 a factor of 482763?
False
Is 46474706 a multiple of 1007?
False
Is 244324904 a multiple of 3597?
False
Does 75 divide 1271649353?
F... | {
"pile_set_name": "DM Mathematics"
} |
8142*v in the form q + m*v**2 + z*v + y*v**3 and give q.
0
Express 508 - 627*z - 508 in the form a + h*z and give h.
-627
Rearrange -5*a + 5*a + 22*a**2 + (4 - 4 + 2*a**2)*(-5 + 0 + 4) - a**2 - 5 - 6 + 5 + (a - 3*a - a)*(a - a + a) to h*a + m*a**2 + f and give m.
16
Rearrange (2*g - 2*g - 2*g**2)*(-19939 + 11044 + 1101... | {
"pile_set_name": "DM Mathematics"
} |
). What is the units digit of m(r)?
3
Suppose -56*i + 64*i - 13472 = 0. What is the units digit of i?
4
Let c = 100 - 98. Suppose -4*g = 3*x - 280, 3*g - c*g = 4*x - 405. What is the hundreds digit of x?
1
Let j = -21 + 13. What is the units digit of j/(-44) - (-819)/33?
5
Let w(c) = 1. Let k(b) = -6*b + 2. Let x(z) = ... | {
"pile_set_name": "DM Mathematics"
} |
206, 46060, 66646, 90958?
118990
What is the next term in 2695, 2478, 2097, 1546, 819, -90, -1187, -2478?
-3969
What is the next term in -98801, -395194, -889177, -1580744, -2469889, -3556606, -4840889?
-6322732
What is the next term in -9015865, -9015854, -9015837, -9015814?
-9015785
What comes next: -20354146, -40708... | {
"pile_set_name": "DM Mathematics"
} |
593. What is the greatest common divisor of 6 and k?
6
Let p(z) = -2*z + 25. Let v be p(-4). Let q = v - 28. Suppose -2*w + 4*y - 1 = -q*w, 13 = -w - 4*y. What is the highest common divisor of w and 1?
1
Let w be (18 - (-2 - 4))/(6/(-2648)). Let c = -5540 - w. Let m be c/42 - (2 - (-36)/(-21)). What is the greatest com... | {
"pile_set_name": "DM Mathematics"
} |
(-3).
7
Let w(s) = 40*s. Give w(-1).
-40
Let l(i) = 8*i - 105. Determine l(12).
-9
Let b(m) = -19*m + 111. Give b(12).
-117
Let l(t) = -t**3 + t**2 + 2*t + 3. Calculate l(3).
-9
Let g(i) = 4*i**3 + i**2 + 4*i + 2. What is g(-1)?
-5
Let j(p) = 12*p + 28. Give j(-2).
4
Let y(h) = 3*h**2 - h + 4. What is y(3)?
28
Let h(x)... | {
"pile_set_name": "DM Mathematics"
} |
63 in descending order.
2/3, 2/9, 0.0163, -0.2, -3
Put 0, -6, 143, -2/3, -0.4 in decreasing order.
143, 0, -0.4, -2/3, -6
Sort -95, -16, 2, 3.
-95, -16, 2, 3
Put 30, -1/28, -2 in descending order.
30, -1/28, -2
Sort 720, -3, 0, 4 in increasing order.
-3, 0, 4, 720
Put -5, -3, 0, -21, 2 in ascending order.
-21, -5, -3, ... | {
"pile_set_name": "DM Mathematics"
} |
ive prob of picking 1 i and 2 w.
7/190
Three letters picked without replacement from {t: 3, e: 1, s: 6, b: 4}. What is prob of picking 3 b?
1/91
Calculate prob of picking 3 d and 1 z when four letters picked without replacement from {d: 3, b: 6, l: 1, z: 4, e: 2, o: 2}.
1/765
Three letters picked without replacement fr... | {
"pile_set_name": "DM Mathematics"
} |
- 0*z - 3*s. What is the greatest common factor of z and 52?
13
Let g = -31 + 22. Let q be 3/2*(-132)/g. Calculate the highest common factor of 2 and q.
2
Let p = -35 + 40. Calculate the highest common divisor of p and 35.
5
Let m(c) = c + 18. Let x be m(-8). Calculate the greatest common factor of x and 4.
2
Let u(p)... | {
"pile_set_name": "DM Mathematics"
} |
p(a) = -47*a. Let v be p(1). Let f = v + j. Is 17 a factor of f?
False
Let z(v) = 29561*v**3 + 111*v - 110. Is 26 a factor of z(1)?
True
Suppose 49*x + 14423 = h + 46*x, 2*h + 5*x - 28835 = 0. Is h a multiple of 7?
True
Suppose -5*i - 339588 = -17*i. Is 31 a factor of i/21 + (-6)/(-14)?
False
Suppose 9*i - 15 = 4*i. L... | {
"pile_set_name": "DM Mathematics"
} |
+ 0 - 5*a**2 + 2 + 6*a. Let m(l) = -3*b(l) + 2*q(l). Find the second derivative of m(c) wrt c.
6
Let n = 9 + -7. What is the first derivative of 0*d**2 + 1 + 2*d**n + 2 - 7 wrt d?
4*d
Let d(a) = a**3 - 6*a**2 + 5*a + 2. Let x be d(5). What is the first derivative of -3*z**2 + x*z**2 + 2 - 3 wrt z?
-2*z
Let o(k) = -4*k... | {
"pile_set_name": "DM Mathematics"
} |
ple of 8207 and 261.
73863
Calculate the lowest common multiple of 8 and 19608.
19608
What is the least common multiple of 27048 and 42?
27048
What is the common denominator of -103/5198 and -89/6?
15594
Calculate the common denominator of 21/2014 and 63/494.
26182
What is the common denominator of 58/1241471 and 68/35... | {
"pile_set_name": "DM Mathematics"
} |
et k(n) = 3*n**2 - 5*n + 6. What is u*k(f) - 6*l(f)?
3*f**2 - f
Let i(b) = 19*b**2 - 6*b - 74. Let y(o) = -39*o**2 + 12*o + 186. Calculate -5*i(z) - 2*y(z).
-17*z**2 + 6*z - 2
Let f(w) = -w**2 + w - 1. Let i(s) be the first derivative of -7*s**3/3 + 2*s**2 + s - 2210. Give 5*f(v) - i(v).
2*v**2 + v - 6
Suppose 342 = 97... | {
"pile_set_name": "DM Mathematics"
} |
hen 14586 is divided by 98.
82
Calculate the remainder when 1188122 is divided by 6524.
754
What is the remainder when 136650 is divided by 1262?
354
What is the remainder when 102561 is divided by 51252?
57
Calculate the remainder when 53866 is divided by 26203.
1460
What is the remainder when 146837059 is divided by ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose r + 12 = 5*r, 4*p + l*r - 58 = 0. What are the prime factors of p?
13
Let m be (3*1)/((-8)/(-32)). Suppose 0 = -l - 2*o + 6 - 0, -5*o + 12 = l. Suppose -h + m = l*h. List the prime factors of h.
2
Suppose 0 = 2*m - 62 - 26. Suppose -m = -5*n + n. List the prime factors of n.
11
Let z(k) = 19*k + 32. List the pr... | {
"pile_set_name": "DM Mathematics"
} |
tive of 0*l**2 - 4/3*l**3 - 11*l - 1. Differentiate s(u) wrt u.
-8*u
Let h(j) = 8*j + 3. Let k be h(-2). Let y = k - -15. What is the second derivative of 6*d - 7*d - y*d**5 - 3*d wrt d?
-40*d**3
Let o(m) = 59*m - 6. Let y(n) = 2*n. Let x(p) = -o(p) - 6*y(p). What is the derivative of x(s) wrt s?
-71
Let u(a) = a**3 - ... | {
"pile_set_name": "DM Mathematics"
} |
pose 31 - 206 = -25*s. Solve -5*x - s = -j + 8, 4*x - 2*j + q = 0 for x.
-4
Suppose -2*t - 4*d + 2 = 0, -3 + 0 = -3*t + 4*d. Let q(n) = 3*n**3 + 6*n**2 - 7*n + 1. Let y be q(1). Solve 4*f = y*r - 6, -r - 2*f = -1 - t for r.
2
Let r(n) = -n**3 + 10*n**2 - 8*n - 6. Let u be r(9). Let w = -593 + 598. Solve 2*t + u = -3*i ... | {
"pile_set_name": "DM Mathematics"
} |
2846579000000000
What is one fifth of a milligram in micrograms?
200
How many micrometers are there in 43920.88 millimeters?
43920880
How many millimeters are there in 1/10 of a meter?
100
What is 3/10 of a gram in milligrams?
300
What is 3.672093 millilitres in litres?
0.003672093
Convert 1254135.6 months to years.
1... | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in 265*u**3 + 57*u**3 - 2*u**2 + 104942*u - 104942*u.
322*u**3 - 2*u**2
Collect the terms in 35*a + 38*a + 36*a - 138*a + 33*a - 10*a.
-6*a
Collect the terms in 53*k**3 - 51*k**3 - 5*k**3.
-3*k**3
Collect the terms in -39 - 20 + 15*o**2 - 10 + 69 - 2*o**2.
13*o**2
Collect the terms in 3 - 3 - 8464*d + 4... | {
"pile_set_name": "DM Mathematics"
} |
he form k*x**4 + j*x + a*x**3 + n + u*x**2 and give k.
794
Express (-x - x + 0*x)*(-85 - 1584*x - 2*x**2 - 1577*x + 3163*x) in the form w + j*x + c*x**3 + r*x**2 and give r.
-4
Express (3*v**2 - 2*v**2 + 0*v**2)*(-3 + 3 - 2*v)*(-1007 - 794 - 3343)*(-1 + 1 + v) as p*v**3 + g*v**4 + k*v + b*v**2 + m and give k.
0
Express... | {
"pile_set_name": "DM Mathematics"
} |
f.
4
Let o be 42/(-35) - 139/5. Let d(q) = -q - 25. Let r be d(o). Solve 0 = -5*u + u - r for u.
-1
Suppose -5*k + 100 = -4*s, 30*k - 67 = 27*k + s. Solve 0 = k*a - 87 - 9 for a.
4
Let q be (0 - ((-60)/9 - 2/6)) + 2. Solve -q*s - 145 = -109 for s.
-4
Let d be (-5 - 35)/5*((-42)/28 - 4). Solve -16*v = -d*v - 224 for v.
... | {
"pile_set_name": "DM Mathematics"
} |
1) + sqrt(99)) - sqrt(19)) + 4))**2.
-20*sqrt(19) + 539/4
Simplify 6*(((sqrt(275) + -3)*5)**2 + -4).
-4500*sqrt(11) + 42576
Simplify (-3*(sqrt(65) - (sqrt(65)*-3*-3 + sqrt(65))))/(-6*(sqrt(5) - (sqrt(5) - sqrt(20)/sqrt(4))) + sqrt(5) + (sqrt(5) - sqrt(50)/(sqrt(20)/sqrt(2)))).
-27*sqrt(13)/5
Simplify (-4*5*2*sqrt(448) ... | {
"pile_set_name": "DM Mathematics"
} |
-0.05, -2/5, -5, -7
Put -4/3, 181, 5 in descending order.
181, 5, -4/3
Sort -6, -5, 121.
-6, -5, 121
Put 0, -5, 1/2, -19/2, 1, 2/11 in ascending order.
-19/2, -5, 0, 2/11, 1/2, 1
Put -0.05, 5, 35, 5.14, -4 in increasing order.
-4, -0.05, 5, 5.14, 35
Sort -3/13, 1/24, 734, 5 in descending order.
734, 5, 1/24, -3/13
Sort... | {
"pile_set_name": "DM Mathematics"
} |
- d**3 - 4*d + (2*d**2 - 4*d**2 + d**2)*(2*d - 3*d - d) - 2*d**3 + 0 + 0.
3*d**3 + 8*d
Expand (0*o + o - 2*o)*(-4 + 2 + 1)*(-2 + 0 + 0)*(0*o**3 + o**3 - 112*o + 110*o).
-2*o**4 + 4*o**2
Expand -135*v**5 + 163*v**3 - 163*v**3 + (4*v**4 + 2*v**5 - 4*v**4)*(-9 - 2 - 1) - 2*v + 2*v + 2*v**5 + (1 - 1 - 2*v**5)*(-3 + 5 - 4) ... | {
"pile_set_name": "DM Mathematics"
} |
)?
48*h**2
Let c(z) = 4*z**2. Let a(h) = -h. Let k(f) = -3 + 1 + 2 + 2*f + f**2. Let v(g) = -2*a(g) - k(g). Calculate c(v(u)).
4*u**4
Let c(s) = -9*s. Let l(o) = -o - 269. What is c(l(w))?
9*w + 2421
Let y(l) be the second derivative of -l**4/6 + 2*l. Let j(m) = -5*m**2 + 35*m + 35. Let a(d) = d**2 - 6*d - 6. Let n(p) ... | {
"pile_set_name": "DM Mathematics"
} |
g - 4 = 6, 2*d + b*g = j. Is 12 a factor of d?
True
Is (1 + -97)*-4*(-25)/(-60) a multiple of 16?
True
Suppose -6*j = -j - 115. Suppose -3 + j = 4*o. Suppose o*n + 10 = 100. Does 6 divide n?
True
Let h = 26 - 31. Let t(c) = -c**3 + 11*c - 4. Does 18 divide t(h)?
False
Let t be (3/4)/(2/32). Suppose 5*l = 4*m - 15, l = ... | {
"pile_set_name": "DM Mathematics"
} |
264673/12702 - -8/2117. Find the common denominator of i and (1 - 1) + 2/4.
6
Suppose -4*l + 2*v + 10 = 0, -3*l + 5*v = 4 + 6. Suppose 2*u = -l*z + 2, 0*z = 3*z + 3*u + 6. What is the smallest common multiple of z and (3 + 2)/1 - 3?
2
Suppose 3*m = -5*x + 7, -2*m + 13 = -m - x. What is the lowest common multiple of 10 ... | {
"pile_set_name": "DM Mathematics"
} |
ue in -1/7, -3, 13, 1/2, 48, -4?
-1/7
What is the second biggest value in -3, -669, -11?
-11
What is the second biggest value in -5, -2/33, -2, -0.04?
-2/33
Which is the third biggest value? (a) -1/4022 (b) 4 (c) 1/8 (d) 3 (e) 0.2
e
What is the fifth smallest value in -8.6, -2, -3/5, -0.09, 16?
16
What is the seco... | {
"pile_set_name": "DM Mathematics"
} |
rest 1000?
57000
Round 0.014204 to 3 dps.
0.014
What is 1.5158 rounded to 1 dp?
1.5
What is -42.77 rounded to the nearest integer?
-43
What is 79.3 rounded to the nearest ten?
80
What is -0.0109398 rounded to three decimal places?
-0.011
Round 12.4712 to the nearest integer.
12
What is 84.9591 rounded to the nearest 10... | {
"pile_set_name": "DM Mathematics"
} |
x(p) = -5*p - 2. Suppose -29*o + 34*o = 25. Suppose -o*t - 6 = -1. Determine t*x(v) + 2*k(v).
5*v
Let w(o) = o + 2. Let z = -162 - -167. Let c(m) = -2*m - 3. Let x(v) = z*w(v) + 3*c(v). Let y(t) = -9*t + 4. Give -6*x(l) + y(l).
-3*l - 2
Let t(h) = -73*h**2 - 8*h + 25. Let n(u) = 25*u**2 + 3*u - 9. What is 8*n(v) + 3*t(... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -j*d - 8 = -50. What is the remainder when d is divided by 6?
3
Let g(n) = 2*n**2 - 8*n + 3. Calculate the remainder when 15/(-6)*(-8 - 2) is divided by g(5).
12
Let k be -19*15 + 1 - 0. What is the remainder when (-4)/14 - k/14 is divided by 11?
9
Let r = 116 + -76. Suppose v - r = -v. Calculate the remainder... | {
"pile_set_name": "DM Mathematics"
} |
se 2, what is 1 - -10010100?
10010101
In base 14, what is -1 - 194?
-195
In base 9, what is 3 + 354?
357
In base 3, what is 21 - 200?
-102
In base 15, what is -dc - 0?
-dc
In base 7, what is 0 + 204?
204
In base 7, what is 2350 - -4?
2354
In base 10, what is -134 - -1?
-133
In base 3, what is 1100020 + 10?
1100100
In b... | {
"pile_set_name": "DM Mathematics"
} |
*s**2. Let o(r) = -28*r**2. Give c(o(x)).
-1568*x**4
Let h(u) be the second derivative of -13*u**5/120 + 4*u**3 + 2*u + 4. Let b(x) be the second derivative of h(x). Let o(l) = 2*l**2. Calculate b(o(f)).
-26*f**2
Let j(a) be the first derivative of -48*a**2 + 723. Let c(o) = -3*o**2. Determine c(j(f)).
-27648*f**2
Let ... | {
"pile_set_name": "DM Mathematics"
} |
2 in descending order.
64, 4, 2, -23
Put 2.6, -2, 1, 4, 11 in ascending order.
-2, 1, 2.6, 4, 11
Sort 41, -53, 3, -3, -2.
-53, -3, -2, 3, 41
Sort -2/4225, -33, 6.
-33, -2/4225, 6
Sort -29931, 3/5, 5/3.
-29931, 3/5, 5/3
Sort -8, 2/5, 3, -2/17, 12 in descending order.
12, 3, 2/5, -2/17, -8
Put 0, 558, -15 in descending o... | {
"pile_set_name": "DM Mathematics"
} |
4*y) as j*y**2 + c + a*y and give j.
-164
Rearrange 11*y**3 - 18*y**3 + 9*y**3 - 4*y + 3*y**3 + y**2 + 2*y**4 + 1 to the form n*y**2 + q + w*y**4 + i*y + k*y**3 and give w.
2
Rearrange 129 - 71*z + 831*z - 129 to t*z + j and give t.
760
Express 1225*d**4 + 842 + 834 - 1676 + (-3*d + 0*d + 5*d)*(-3*d + 3*d - 2*d**3) in ... | {
"pile_set_name": "DM Mathematics"
} |
. Let o(j) = j**3 - 5*j**2 - 3*j + 3. What is o(r)?
-12
Let u(n) be the first derivative of -n**4/12 + 2*n**3 - 62*n**2 - 73. Let a(t) be the second derivative of u(t). Calculate a(9).
-6
Let l(g) = -3*g - 2. Let j be l(2). Let d(h) be the third derivative of 0*h - 7/6*h**3 + 1/60*h**5 - 2 + 1/4*h**4 + 113*h**2. Give d... | {
"pile_set_name": "DM Mathematics"
} |
*(n + 2)**3/3
Let h = 9547 + -105013/11. Solve 0*d - h*d**2 + 0 + 2/11*d**3 = 0 for d.
0, 2
Let j = 1412 + -151082/107. Let k = j + 418/535. Determine g, given that -k*g + 0 + 2/5*g**2 = 0.
0, 2
Let f(z) be the second derivative of z**7/8820 + z**6/1260 - z**5/140 - 11*z**4/3 - 9*z. Let q(p) be the third derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
d 12?
12
What is the highest common factor of 15741 and 22?
11
What is the highest common divisor of 46 and 9683?
23
What is the highest common divisor of 243 and 1?
1
What is the greatest common divisor of 11024 and 312?
104
Calculate the highest common divisor of 2375 and 100.
25
Calculate the greatest common divisor... | {
"pile_set_name": "DM Mathematics"
} |
6
What is the next term in 174, 173, 170, 165, 158, 149?
138
What comes next: 10, 36, 94, 196, 354, 580, 886, 1284?
1786
What is the next term in -1044, -2090, -3136, -4182?
-5228
What is the next term in -1176, -1174, -1172?
-1170
What is next in -223, -446, -669, -892?
-1115
What comes next: -906, -898, -878, -840, -... | {
"pile_set_name": "DM Mathematics"
} |
/((-2)/(-12))
3
Calculate (3/(-1))/(7/((-28)/(-6))).
-2
Evaluate ((-16)/(-16))/(63/(-27)).
-3/7
Calculate ((-1)/2)/(135/60).
-2/9
((-3)/5)/(4/(20/1))
-3
What is 3/(-2)*4/(-114)*-2?
-2/19
Calculate (4/3)/((-11)/33).
-4
What is the value of 4*(-14)/(-4)*(-3)/7?
-6
Evaluate (1/(28/8))/((-3)/7).
-2/3
1/((-2)/12*-15)*5
2
(6... | {
"pile_set_name": "DM Mathematics"
} |
)?
20
Calculate (-18)/(-16)*(-16)/(-264)*-11.
-3/4
What is the value of -69*(-7)/161 + 0 + (-1 - -8)?
10
What is (-106)/(-22) + (3/(-6) - 525/(-770))?
5
What is 5 - (-48)/30 - 7?
-2/5
Evaluate (50/(-30)*1)/((-735)/189).
3/7
Calculate (-24)/(-2772)*-7 + 123/396.
1/4
Calculate -17 - ((-31 - -19) + -14).
9
Calculate (225/... | {
"pile_set_name": "DM Mathematics"
} |
19 - -9/76. What is the second smallest value in g, z, -8?
z
Let w = 7.93 - -0.07. Let o be -11 + (11297/(-77))/(-13). Which is the third smallest value? (a) -5 (b) o (c) 2/11 (d) w
b
Suppose 0*g = -m + 3*g - 3, 5*m - 2*g = 11. Suppose 2*h + 19 = -5*r, 3*h + r = 1 + m. Which is the third smallest value? (a) h (b)... | {
"pile_set_name": "DM Mathematics"
} |
+ 1)*(p + 4)
Let -59166*i**2 + 1680 - 45*i + 59161*i**2 - 35*i = 0. What is i?
-28, 12
Let j(n) = -7*n**2 - 6181*n - 12186. Let o(y) = 60*y**2 + 55605*y + 109675. Let p(g) = 35*j(g) + 4*o(g). Factor p(u).
-5*(u - 1219)*(u + 2)
Let x(h) be the third derivative of -1/105*h**7 - 7/6*h**4 + 0 + 1/10*h**5 + 1/15*h**6 + 151*... | {
"pile_set_name": "DM Mathematics"
} |
e smallest value? (a) g (b) m (c) 0.2
a
Let k = 0.07 - -3.93. Let q = 1 - k. What is the second smallest value in q, -2/19, -6?
q
Let q = -1777 + 24877/14. Which is the second biggest value? (a) -1/3 (b) q (c) -0.5 (d) -0.4
a
Let o = -361.91 + 367. Let q = o + -0.09. Which is the third smallest value? (a) q (b... | {
"pile_set_name": "DM Mathematics"
} |
m be 2/(2 + -4) + 2. Suppose -m = 6*p - 73. Solve -3*h + p = -6*h for h.
-4
Let t(l) = -31*l - 7. Let w be t(-1). Suppose 25*b - w*b - 5 = 0. Suppose 2*s + 6 = 0, -5*y + 37 = -y - 3*s. Solve y = -b*r + 32 for r.
5
Suppose -3 = b - 7. Let x(o) = -13*o + 821. Let v be x(63). Solve v*a - b = a for a.
4
Let k = 120 - 122.... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*i + 2
Let q(n) = -6 + 2 + 1 + 2. Let v(l) = 2*l + 7. Suppose 5*c - 4*f + 17 = 0, -3*c - 3*f = -6*c - 12. What is c*v(y) - 6*q(y)?
-2*y - 1
Let n(s) = 989*s**3 - 115*s + 115. Let f(h) = 26*h**3 - 3*h + 3. What is -115*f(z) + 3*n(z)?
-23*z**3
Let r(g) = -7*g**2 - 9*g - 22. Let p(f) = 4*f**2 + 5*f + 11. What is 5*p(s... | {
"pile_set_name": "DM Mathematics"
} |
h is greater: -1383063 or -1383064?
-1383063
Which is greater: -293.75 or -0.1?
-0.1
Which is smaller: -284 or -267?
-284
Which is bigger: 5/2746 or -1?
5/2746
Is 650502/5 >= 130099?
True
Do 0 and -53/1395 have the same value?
False
Is -0.2 equal to 1.95837?
False
Is 20023 > 20026?
False
Is -1471 less than or equal to ... | {
"pile_set_name": "DM Mathematics"
} |
4 (base 15) in base 10?
49
Convert 122 (base 7) to base 5.
230
9 (base 13) to base 4
21
Convert 14 (base 7) to base 3.
102
Convert -4 (base 13) to base 3.
-11
What is -2 (base 6) in base 2?
-10
What is 4 (base 15) in base 14?
4
-2 (base 4) to base 15
-2
What is -33 (base 16) in base 7?
-102
Convert -11 (base 15) to bas... | {
"pile_set_name": "DM Mathematics"
} |
t(2)) - -4*-3*sqrt(17)*1*-3.
249*sqrt(17)/7
Simplify -2 + ((sqrt(68) + 2 + 4)*-6*1)**2 + 1.
864*sqrt(17) + 3743
Simplify (sqrt(162) + -2 + -1)**2 - (sqrt(10) - (sqrt(10) + sqrt(60)/sqrt(6)*3) - sqrt(10))/sqrt(5).
-50*sqrt(2) + 171
Simplify (2*sqrt(931) + 3 - 3*sqrt(931)*-2)**2 + 5*(0 + sqrt(931))*-3.
231*sqrt(19) + 595... | {
"pile_set_name": "DM Mathematics"
} |
: l or -2/3?
l
Suppose -2*m = -7 + 11. Which is bigger: -5/4 or m?
-5/4
Let d = -44.8 - -45. Let u = -2 - -1. Let y = 2 + u. Which is smaller: d or y?
d
Suppose 5*x + 0*x = 0. Let w be (6/(-9) + x)*12. Let c = 9 + w. Is c greater than or equal to 1?
True
Suppose 6 = -5*o + 1. Suppose 0 = 4*f + f + 60. Let c be 1/(-2)*(... | {
"pile_set_name": "DM Mathematics"
} |
at is z(w(k))?
-47184*k**2 + 1
Let s(m) = 71*m. Let b(j) = j. Give b(s(l)).
71*l
Let q(f) be the third derivative of -f**4/12 - 28*f**2. Let n(o) = 34*o**2. Determine n(q(t)).
136*t**2
Let n(g) = 2*g. Let h(c) = 3*c - 1 + 1 - 2*c. What is h(n(k))?
2*k
Let j(u) = -2*u. Suppose -2*b + 4 = r, r + 3*b + 1 = 3*r. Let x(z) b... | {
"pile_set_name": "DM Mathematics"
} |
7. Let j be n(-5). Let r = -6 - j. What is the highest common divisor of 10 and r?
2
Let t be 256/16 - (-10)/(-2). Calculate the highest common factor of 209 and t.
11
Let h be (2*2/(-14))/((-1)/7). Let u = -7 - -15. Calculate the greatest common factor of h and u.
2
Let a be (11 - 0)*-3*1. Let s = 50 + a. Calculate t... | {
"pile_set_name": "DM Mathematics"
} |
of (-464)/d + 13 + -9?
2
Let m be (2/(-4)*0)/1. Suppose -2*h + 9 - 1 = m. Let x(w) = 13*w + 11. What is the units digit of x(h)?
3
Let i = 1158 + -600. Suppose -3*w - 518 = -4*w + 4*h, 4*h - i = -w. What is the units digit of w?
8
Let a(g) = 4*g + 25. Suppose -2*r - x - 18 = x, 4*x = 3*r - 1. What is the units digit of... | {
"pile_set_name": "DM Mathematics"
} |
-2*z + 1. Let x(l) = 10*l - 22. Calculate -c(w) - x(w).
-8*w + 21
Let w(b) = b**3 + 2*b**2 + 2. Let v(z) = z**3 - 21*z**2 + z + 6. Determine -v(l) + 2*w(l).
l**3 + 25*l**2 - l - 2
Let j(z) = -6*z**2 - 14*z + 32. Let i(d) = -2*d**2 - 5*d + 11. Let c(g) = -23*g + 63. Let w be c(3). Give w*j(q) + 17*i(q).
2*q**2 - q - 5
... | {
"pile_set_name": "DM Mathematics"
} |
4*a + 1211
What is the g'th term of 89, 1297, 3305, 6113, 9721, 14129, 19337?
400*g**2 + 8*g - 319
What is the y'th term of -85, 399, 2033, 5393, 11055, 19595, 31589?
96*y**3 - y**2 - 185*y + 5
What is the a'th term of 40731, 40903, 41079, 41259, 41443?
2*a**2 + 166*a + 40563
What is the g'th term of 200791, 802884, 18... | {
"pile_set_name": "DM Mathematics"
} |
3
Collect the terms in -2*t + 189 - 189 - 2*t + t.
-3*t
Collect the terms in 1610 + 10*p - 3218 + 1608.
10*p
Collect the terms in 68*o - 31*o + 12*o**2 - 37*o.
12*o**2
Collect the terms in -30*k**2 - 68*k**2 - 145*k**2.
-243*k**2
Collect the terms in 40*g**2 - 19*g**2 - 2*g - 23*g**2 + 2*g.
-2*g**2
Collect the terms in... | {
"pile_set_name": "DM Mathematics"
} |
five decimal places?
-0.00011
Let r(y) = 6*y - 4. Let c(b) = -5*b + 4. Let q(z) = 5*c(z) + 4*r(z). Let f be q(6). Let i be (-97)/2 + (-1)/f. Round i to the nearest ten.
-50
Let s be 76000 + 0/(6/(-2)). What is s rounded to the nearest 10000?
80000
Let a = 16 - 15.987. Let c = 0.01 - a. Round c to three decimal places.
... | {
"pile_set_name": "DM Mathematics"
} |
-68
Let h = -43.8 + 43.9665. Let r = h + 0.0335. Which is bigger: r or -1/3?
r
Let p = -395/8 + 4809/88. Let n = 384/77 - p. Is 2.2 at most as big as n?
False
Let g = -3.28 - -104.28. Let d = -103 + g. Which is smaller: d or 74?
d
Suppose 4*y = y - 12. Let n(b) be the third derivative of -b**4/4 - 5*b**3/3 + 237*b**2. ... | {
"pile_set_name": "DM Mathematics"
} |
ther -389 and 66756808.
66756419
Put together -6381 and -49.6.
-6430.6
What is 759 plus 44254353?
44255112
What is 0.0347 minus 6167?
-6166.9653
Put together 9 and -3641.258.
-3632.258
Put together 25662051509 and -0.1.
25662051508.9
What is the difference between 1639165 and 4833?
1634332
Calculate 1 - -670506843.
670... | {
"pile_set_name": "DM Mathematics"
} |
*p - 4709, 0 = v + 5*p - 4715. Does 55 divide v?
False
Suppose 0 = -k - 138 + 4. Let u = 1488 + -1257. Let v = u + k. Is v a multiple of 15?
False
Let o = 107 - 193. Let u = o - -184. Suppose -37 = -u*g + 97*g. Does 15 divide g?
False
Let f(o) = 2*o - 4. Let u be f(3). Suppose 4*s = u*s - 2. Is 8 a factor of 26/((2/(-3... | {
"pile_set_name": "DM Mathematics"
} |
- 2*n**2 + 0*n**3 - 1/85*n**5 + 0*n + 9 + 1/1020*n**6. Factor d(p).
2*p*(p - 3)**2/17
Let u(n) = -n - 1. Let f(s) = s + 83. Let h(c) = f(c) + 6*u(c). Let o be h(15). Factor -5/6*m**o + 15/2 - 20/3*m.
-5*(m - 1)*(m + 9)/6
Let d be 82 + (-3)/(-3 - (-36)/8). Let f = 86 - d. Factor f*c**2 + c - 3 - 6*c**3 - 4*c**3 - 3*c**... | {
"pile_set_name": "DM Mathematics"
} |
**2) + sqrt(448) + 2 + sqrt(448) + -1 + -3.
10 + 24*sqrt(7)
Simplify (((sqrt(525) - (5*sqrt(525) + sqrt(525))) + sqrt(21) + sqrt(21))*-2)/((sqrt(84) + -3*sqrt(84)*-4 - sqrt(84))/sqrt(12)).
23*sqrt(3)/6
Simplify 4 + 4*sqrt(325)*6*-4 + (-4*(4 + 3 + sqrt(325) + -3))**2.
160*sqrt(13) + 5460
Simplify (1 + -2 + 6*(1 + sqrt(8... | {
"pile_set_name": "DM Mathematics"
} |
9625
Find the second derivative of 336874*j**5 + 3*j - 80495 wrt j.
6737480*j**3
What is the second derivative of -3*d**5 - 79*d**4 - 20*d**3 - 1132*d + 18?
-60*d**3 - 948*d**2 - 120*d
Differentiate 2*d*w**4 - 3*d*w**3 - 22367*d - 169*w**4 wrt w.
8*d*w**3 - 9*d*w**2 - 676*w**3
Find the first derivative of 11*b*l + 1390... | {
"pile_set_name": "DM Mathematics"
} |
3 = 3*n + 50, -x - g = 0. Calculate the remainder when 48 is divided by (-4)/n + 1503/117.
9
Suppose -14*m = -9*m - 155. Suppose 4*y - y - 2*t = 24, 5*y - 40 = 3*t. Calculate the remainder when m is divided by y.
7
Suppose -93*z + 92*z + 162 = 5*k, 0 = -2*k + 4*z + 56. Calculate the remainder when 203 is divided by k.
... | {
"pile_set_name": "DM Mathematics"
} |
) = k**2 - 11*k + 7. Is r(11) prime?
True
Let g(s) = -22*s + 15. Is g(-13) a composite number?
True
Suppose b + 4*v = 8 + 10, -3*b - 4*v + 78 = 0. Suppose -6*h = -3*h - b. Is h a composite number?
True
Let f(t) = t + 1. Let r(y) = 2*y**3 + y. Let d be r(1). Is f(d) a composite number?
True
Suppose -y + 60 = 2*g - 5*y, ... | {
"pile_set_name": "DM Mathematics"
} |
19 - -4?
-115
In base 13, what is -6 - 24?
-2a
In base 8, what is 47 + -44?
3
In base 16, what is -2 + -23d?
-23f
In base 5, what is -324 - 441?
-1320
In base 6, what is 21 + 22?
43
In base 9, what is -2073 + -4?
-2077
In base 13, what is 1 + 3b?
3c
In base 5, what is -112 - -41?
-21
In base 8, what is 2 + 1522?
1524
I... | {
"pile_set_name": "DM Mathematics"
} |
3. Give x(j(w)).
-22*w**2
Let q(v) be the second derivative of 2*v**4/3 - 4*v - 13. Let j(x) = -44*x. Calculate j(q(n)).
-352*n**2
Let c(r) be the third derivative of -2*r**4/3 + 5*r**2. Let p(g) = -15*g**2 - 22*g**2 + 15*g**2 + 20*g**2. Give p(c(o)).
-512*o**2
Let s(c) be the second derivative of c**7/1260 + 13*c**4/6... | {
"pile_set_name": "DM Mathematics"
} |
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