text stringlengths 270 8.19k | meta dict |
|---|---|
is greater: -0.02 or x?
x
Let d = -0.5 - -0.53. Let i = -0.23 + d. Which is bigger: 0 or i?
0
Suppose 10*j = 7*j + 18. Let s be -3*(-1)/j*2. Which is bigger: s or 0?
s
Let x be 12/(-6) + 4/1. Is x > 2?
False
Let q be 11 + -2 + (-1 - 0). Is q >= 7?
True
Suppose -19 = -3*d + 62. Is d smaller than 28?
True
Let x(m) = m**... | {
"pile_set_name": "DM Mathematics"
} |
Let h(q) = 374575*q + 2. Let c(j) = j - 14. Calculate h(c(u)).
374575*u - 5244048
Let m(j) = -45986*j**2 + 2. Let s(y) = y - 270. What is s(m(z))?
-45986*z**2 - 268
Let z(c) = -5068*c. Let b(k) = -156*k**2 + 192*k. Calculate b(z(x)).
-4006801344*x**2 - 973056*x
Let o(p) = -55*p**2 + 3*p. Let b(z) = 450*z**2 - 25*z. Let... | {
"pile_set_name": "DM Mathematics"
} |
643 rounded to three dps?
-1.856
Round -77284400 to the nearest one hundred thousand.
-77300000
Round -29334940 to the nearest 10000.
-29330000
Round 30986.1 to the nearest 1000.
31000
What is -0.0000021052898 rounded to 7 decimal places?
-0.0000021
Round 130.2522 to the nearest integer.
130
What is 133386 rounded to t... | {
"pile_set_name": "DM Mathematics"
} |
he nearest to -176? (a) 1/8 (b) 2/9 (c) 26/7 (d) -1
d
Which is the closest to 0.1? (a) 1 (b) -2/7 (c) 280 (d) -0.3 (e) 0.1
e
What is the closest to 1/3 in 221, -145, -4?
-4
What is the nearest to -2264 in 0.2, 3, 1/8?
1/8
What is the nearest to -1/7 in -4/73, 8, -6?
-4/73
What is the closest to -184 in 1/4, -5... | {
"pile_set_name": "DM Mathematics"
} |
s = -56 + 41. Is s at least h?
False
Let k(v) = v + 1. Let n be k(-9). Suppose 0*c - 5*c - 20 = 0. Let h be -1 - 2/n*c. Is -2 < h?
False
Let p = 19 - -5. Let v = 25 - p. Is v at least as big as -24?
True
Suppose 19*x = 11*x + 160. Suppose 5*t = -0*z - 2*z + x, 0 = 4*t - 16. Which is bigger: z or -11/8?
z
Let z be ((-12... | {
"pile_set_name": "DM Mathematics"
} |
. What is the units digit of s(d)?
5
Let z(a) = a**3 - 17*a**2 - 20*a - 60. Let c be z(19). Let g = -54 + c. What is the tens digit of g?
2
What is the hundreds digit of (-5 + 0)/((-100)/4520)?
2
Suppose 3*i = -4*m + 13 + 5, -i - 2*m + 8 = 0. Suppose i*d + 2*u + 5 + 3 = 0, -5*u = -5*d. What is the units digit of d/((-8... | {
"pile_set_name": "DM Mathematics"
} |
e 3, what is 1 - -1202100000?
1202100001
In base 2, what is -101000001001010 - 10?
-101000001001100
In base 8, what is 501 - 17471?
-16770
In base 14, what is -5d75 - -5?
-5d70
In base 14, what is -5 + 115a?
1155
In base 9, what is 2 - -108552?
108554
In base 15, what is -42 - 151?
-193
In base 14, what is -5 + 2539?
2... | {
"pile_set_name": "DM Mathematics"
} |
2
Calculate the highest common factor of 7 and 10.
1
Calculate the greatest common divisor of 18 and 126.
18
What is the greatest common divisor of 2892 and 24?
12
What is the highest common divisor of 5 and 2355?
5
Calculate the highest common factor of 140 and 20.
20
Calculate the greatest common divisor of 1992 and ... | {
"pile_set_name": "DM Mathematics"
} |
4 + 1 - 3).
4*a
Expand (-3*f + 0*f + 4*f)*(49*f - 10*f + 12*f).
51*f**2
Expand (2*b**2 - b + b)*(9 - 18*b - 9).
-36*b**3
Expand 4*f**3 - 2*f**3 + 0*f**3 + (20*f + 23*f + 48*f)*(3*f**2 - f**2 - 4*f**2).
-180*f**3
Expand (-1 + 1 - 2)*(0*z**3 + 6*z**3 - 4*z**3)*(-z - 2*z - z).
16*z**4
Expand (d + 2*d + d)*(-4 + 5 + 0).
4... | {
"pile_set_name": "DM Mathematics"
} |
ided by 203?
200
What is the remainder when 3117 is divided by 348?
333
Calculate the remainder when 125 is divided by 38.
11
What is the remainder when 151400 is divided by 186?
182
What is the remainder when 27233 is divided by 1279?
374
What is the remainder when 3757 is divided by 485?
362
What is the remainder whe... | {
"pile_set_name": "DM Mathematics"
} |
ters picked without replacement from ptmm. Give prob of picking 1 p and 1 t.
1/6
What is prob of picking 1 h, 2 r, and 1 q when four letters picked without replacement from {g: 1, h: 1, r: 2, q: 1, k: 2, d: 1}?
1/70
Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {l: 1, q: 1, y: 1... | {
"pile_set_name": "DM Mathematics"
} |
-3*f - 39. Suppose 8*q - 3*q - r = 592, 4*q + 2*r - 468 = 0. Suppose 25 + q = a. Calculate the greatest common factor of a and f.
13
Suppose -m + 5*m - 320 = 0. Let i = 264 - 232. What is the highest common factor of m and i?
16
Suppose h - o = 1 + 2, -o + 11 = h. What is the highest common divisor of 49 and h?
7
Let d... | {
"pile_set_name": "DM Mathematics"
} |
4*b - 3*b + b)*(-4*b + 4*b + 2*b) + 2*b**2 + 5*b**2 - 2*b**2 + 0*b**2 - 2*b**2 + b**2)*(-2*b**3 + 0*b + 0*b).
-18*b**5
Expand (0 + 1 - 2)*(z - 2*z + 3*z - 7) + 2*z - 5*z + z.
-4*z + 7
Expand (-4*u**3 + u**3 + u**3)*(0*u**2 + 3*u**2 + 5*u**2) + 2*u - 2*u + 2*u**5.
-14*u**5
Expand (-1 + 4 - 2)*(-4*m + 3*m + 3*m) + 5 + m ... | {
"pile_set_name": "DM Mathematics"
} |
is f(6)?
-21
Let s(z) = -6*z + 21. Give s(5).
-9
Let n(z) = z**3 + 3*z**2 - 9*z - 1. Calculate n(4).
75
Let l(s) = s**2 + 11*s + 6. Calculate l(-7).
-22
Let c(q) = -31*q - 13. Give c(-3).
80
Let p(u) = -u**3 + 24*u**2 + 3*u - 5. Give p(24).
67
Let x(v) = v**2 - 9*v + 19. Determine x(8).
11
Let c(y) = 2*y - 88. What is... | {
"pile_set_name": "DM Mathematics"
} |
+ 4, 3*l = -2*a + 2 for a.
-2
Suppose 67*p = -2*p + 138. Solve 4*i + 3*d + 16 = p*d, -16 = 4*i - d for i.
-4
Suppose 4*x = t + 28, -4*t - 32 = -t + x. Let w = 14 + t. Suppose 12 = w*j + j. Solve j*n - 6 = -2*f, 3*f + 7 = -3*n + n for f.
-5
Let b be (1/(-2))/(2/(-12)). Suppose b*c = -2*c. Suppose 0*u - u = c. Solve z +... | {
"pile_set_name": "DM Mathematics"
} |
25879307 divided by -9539?
-2713
What is 247 divided by 159153?
247/159153
What is -457840 divided by 1180?
-388
Divide -10 by -19865889.
10/19865889
Calculate 104791215 divided by -20958243.
-5
Calculate -1372607 divided by -1.
1372607
Divide 8157051 by 7.
1165293
Calculate -5869542 divided by 42.
-139751
Divide -2323... | {
"pile_set_name": "DM Mathematics"
} |
7 PM?
1:45 AM
How many minutes are there between 4:23 AM and 8:00 AM?
217
How many minutes are there between 12:03 PM and 5:20 PM?
317
What is 573 minutes after 4:31 AM?
2:04 PM
How many minutes are there between 8:14 AM and 2:41 PM?
387
What is 473 minutes after 1:00 PM?
8:53 PM
How many minutes are there between 2:28... | {
"pile_set_name": "DM Mathematics"
} |
*-1 + sqrt(84))/(sqrt(12) - 5*sqrt(108))).
56*sqrt(11)
Simplify ((-4 + 2*sqrt(612) + sqrt(612) - sqrt(612) - sqrt(612) - -5*(sqrt(612) + -1) - (-5 + sqrt(612)*-1 + 1))*-2*2*4)**2.
-107520*sqrt(17) + 7683328
Simplify -6*(-4 + ((1 + sqrt(1573) - (1 + sqrt(117)) - sqrt(91)/((sqrt(56) - -2*sqrt(56))/sqrt(8)))*2 + -3)**2).
... | {
"pile_set_name": "DM Mathematics"
} |
c: 2, s: 3, g: 2, l: 4}.
2/51
Two letters picked without replacement from {c: 2, k: 3, u: 3, t: 3, o: 3}. What is prob of sequence cc?
1/91
What is prob of sequence zz when two letters picked without replacement from {i: 1, h: 3, w: 1, z: 2, u: 5, j: 1}?
1/78
What is prob of sequence zc when two letters picked without... | {
"pile_set_name": "DM Mathematics"
} |
2*w) + (-w - 4*w + 3*w)*(0 + 0 + 2*w).
-54*w**2
Expand 7*m - 6*m - 7*m - 3*m**2 + (22*m + 10*m - 20*m)*(-2*m + m - m).
-27*m**2 - 6*m
Expand -5*h + 3*h + 0*h + (-1 + 3 - 1)*(0*h + 2*h - 4*h) + (1 - 5 + 1)*(3 + 2*h - 3) + 3*h - 3*h - 2*h + h + h - h.
-11*h
Expand (2 - 1 + 0)*(-2352 + 141*g + 2352)*(-3 + 3 - 1) - 1 + g ... | {
"pile_set_name": "DM Mathematics"
} |
n) = -n - 2. Let k be (-12)/5 - 2/(-5). Let j be z(k). Suppose j = 5*u - 96 - 44. Is u a multiple of 11?
False
Let g(d) = -d**2 - 16*d - 11. Is g(-10) a multiple of 26?
False
Let f = 6 - 3. Let c = f - 3. Suppose -2*t + 17 - 3 = c. Does 6 divide t?
False
Suppose 2*q + 3*q + 55 = 3*d, 5*q + 10 = 0. Is 5 a factor of d?
T... | {
"pile_set_name": "DM Mathematics"
} |
f + 29*f - 363. What is the closest to -4 in 4, f, -2/3, -3?
-3
Let u = -0.1 + -0.4. Let j be (1/6)/((-8 + (-644)/(-80))*-5). Which is the closest to j? (a) -4 (b) 4 (c) u
c
Let l be 45/18 + (-721)/350. Which is the nearest to l? (a) -0.08 (b) 0.1 (c) -0.4
b
Let r = -27 - -31. Let u be (-14)/(-40) - 2/8. Let c = ... | {
"pile_set_name": "DM Mathematics"
} |
= -62*z. Let u(w) = 4*w**2 + 10*w + 25. Let p(d) = -5*d**2 - 12*d - 30. Let j(s) = -5*p(s) - 6*u(s). Give m(j(a)).
-62*a**2
Let o(s) = -4*s. Let b(n) = n - 34*n + 0*n. Determine o(b(x)).
132*x
Let v(q) = -2*q**2 - 249. Let a(p) = -41*p**2 + 40*p**2 + 0*p**2. Calculate v(a(d)).
-2*d**4 - 249
Let c(o) = -33225*o**2 - 5.... | {
"pile_set_name": "DM Mathematics"
} |
36.
-2*(g - 603)**2*(g + 2)
Determine h so that 4*h**2/7 + 68*h/7 - 72/7 = 0.
-18, 1
What is q in 4*q**5 + 292*q**4 + 568*q**3 - 8*q**2 - 572*q - 284 = 0?
-71, -1, 1
Factor -11*i**4/2 + 13*i**3/2 + 9*i**2.
-i**2*(i - 2)*(11*i + 9)/2
Factor 2*q**2 - 24*q - 26.
2*(q - 13)*(q + 1)
Solve u**2 - 11784*u + 34715664 = 0.
5892... | {
"pile_set_name": "DM Mathematics"
} |
. Let c(p) = -4*l(p) + 5*w(p). Let t(v) be the second derivative of v**4/12 - v. Determine c(t(u)).
-u**2
Let l(x) = 1530*x - 5 - 772*x - 769*x + 5. Let c(g) = 29*g**2. Give l(c(q)).
-319*q**2
Let a(b) = 21*b**2 - 2. Let c(m) = -210*m**2 + 21. Let l(y) = 21*a(y) + 2*c(y). Let h(r) be the first derivative of -3*r**2 - 8... | {
"pile_set_name": "DM Mathematics"
} |
0 + d. Suppose g - 71 = -5*n + 25, -m = -4*g + n. Is g a composite number?
True
Suppose 3*t - 28139 + 1047 = 5*i, -t + 3*i + 9032 = 0. Is t prime?
True
Suppose 0 = -5*c - 25, -55*s + 56*s + c = 18114. Is s a prime number?
True
Let o be (-3)/(2 - (-55)/(-20)). Suppose 0 = 6*b - o*b - 268. Is b composite?
True
Let i = -5... | {
"pile_set_name": "DM Mathematics"
} |
460. Let j(f) = -16*d(f) - 5*q(f). Suppose j(w) = 0. What is w?
-37, -1
Let v(p) = 4*p**2 + 96*p - 8. Let f(k) = 4*k**2 + 97*k - 6. Let r(m) = 4*f(m) - 3*v(m). Factor r(o).
4*o*(o + 25)
Suppose -10 = -3*x - 5*d + 20, -3*x - d + 18 = 0. Solve 8*i**4 - 12*i**3 - i**2 + 5*i**x - 7*i**3 + 7*i**2 = 0 for i.
-3, 0, 2/5, 1
L... | {
"pile_set_name": "DM Mathematics"
} |
*q**2 - 109695*q + 131670.
-5*(q - 1)*(q + 6)*(q + 4389)
Factor -6*l**4/7 + 24*l**3/7 + 150*l**2/7 - 600*l/7.
-6*l*(l - 5)*(l - 4)*(l + 5)/7
Solve p**4 - 543*p**3 - 1094*p**2 + 2172*p + 4360 = 0 for p.
-2, 2, 545
Solve 3*n**4/2 + 144*n**3 + 4815*n**2 + 68172*n + 698535/2 = 0 for n.
-43, -19, -15
Suppose -p**3/4 + 33162... | {
"pile_set_name": "DM Mathematics"
} |
igger: -102 or o?
o
Suppose q - 4*o = -2, -2*q - 2*o = -1 - 5. Suppose -3*d + q = 5. Which is smaller: d or -4/11?
d
Let u(a) = a**3 + 4*a**2 - 6*a - 6. Let n be u(-5). Let m be 3 + -2 - 1 - n. Suppose -t - m = -2*h, -3*h = 5*t - 0 + 5. Is t < -23?
False
Let y = 15610 + -15617.383. Let a = 0.183 + y. Is a greater than ... | {
"pile_set_name": "DM Mathematics"
} |
5 times 0.3?
-132094.5
-21191 * -0.7
14833.7
Work out -1797.067 * 0.5.
-898.5335
What is the product of 150 and 2.24?
336
-0.159 * 0.1358
-0.0215922
Calculate -1.3868*0.06.
-0.083208
Multiply -4 and 0.4687.
-1.8748
Calculate 298.8*-13.
-3884.4
155296*-5
-776480
What is the product of -11587 and -11?
127457
Calculate -4... | {
"pile_set_name": "DM Mathematics"
} |
876287.
-13853156
What is the derivative of -4*w**3 - 6014182*w**2 + 21239083 wrt w?
-12*w**2 - 12028364*w
What is the second derivative of 20062192*d**3 - 70245364*d?
120373152*d
Find the first derivative of 34934782*p*v + 11610557*v wrt p.
34934782*v
Find the first derivative of 2*y**4 + 17*y**3 - 4*y**2 + 1022*y - 1... | {
"pile_set_name": "DM Mathematics"
} |
s the hundreds digit of 7200?
2
What is the units digit of 14688?
8
What is the units digit of 1210?
0
What is the hundreds digit of 10336?
3
What is the tens digit of 1195?
9
What is the tens digit of 24435?
3
What is the units digit of 93?
3
What is the hundreds digit of 22489?
4
What is the hundreds digit of 11944?
... | {
"pile_set_name": "DM Mathematics"
} |
e number?
False
Is 1000847 composite?
False
Is 29638597 a prime number?
True
Is 421523 a prime number?
False
Is 1203067 composite?
False
Is 405537799 composite?
True
Is 2685799 a composite number?
True
Is 606631 a composite number?
True
Is 691109 a prime number?
True
Is 27040415 prime?
False
Is 5973311 prime?
True
Is 2... | {
"pile_set_name": "DM Mathematics"
} |
r when i(f) is divided by 4?
1
Let t = 541 + -343. What is the remainder when t is divided by 20?
18
Let z = -903 + 1283. Calculate the remainder when z is divided by 177.
26
Let i = 12 + -32. Let a = 26 + -24. Calculate the remainder when a is divided by 2/3 + i/(-60).
0
Let w(g) = g**2 + 27*g + 62. Let y be w(-27). L... | {
"pile_set_name": "DM Mathematics"
} |
3*v**2 + 4*v - 4. Let r(d) = 2*d - 29 - 25 + 53 - d. Let k(b) = -3*h(b) + 12*r(b). Let z(x) = -4*x. Determine k(z(y)).
-144*y**2
Let z(k) = -4*k**2 + 122*k - 2. Let u(n) = -12*n**2 + 427*n - 7. Let x(p) = -2*u(p) + 7*z(p). Let f(s) = 747*s + 2. Give x(f(t)).
-2232036*t**2 - 11952*t - 16
Let j(m) = 21*m**2 - 52*m**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
-21.64 + 11.64. What is the fourth biggest value in y, 1/4, z, -4/3?
y
Let x = -11514 - -11512. Which is the third smallest value? (a) x (b) -2/11 (c) 146 (d) -1
b
Let a = 29 + -59/2. Let d = -156.6 + 35.6. Let u = d + 121.4. What is the third smallest value in 8, a, u?
8
Suppose 5*v - 5 = -15. Let o = 53.83 + -51... | {
"pile_set_name": "DM Mathematics"
} |
quence qq when two letters picked without replacement from {y: 1, q: 7}.
3/4
Calculate prob of sequence vhv when three letters picked without replacement from {h: 6, z: 4, v: 3}.
3/143
Three letters picked without replacement from abzrbqe. What is prob of sequence abe?
1/105
What is prob of sequence ddd when three lett... | {
"pile_set_name": "DM Mathematics"
} |
4, 1, 8
Factor l**4/2 - 7*l**3/2 + 5*l**2.
l**2*(l - 5)*(l - 2)/2
Find z, given that 3*z**5/2 + 9*z**4/2 + 3*z**3/2 - 9*z**2/2 - 3*z = 0.
-2, -1, 0, 1
Find h such that -h**4 + 8406*h**3 - 23553612*h**2 + 21999073608*h = 0.
0, 2802
Determine o so that 3*o**3 + 600*o**2 - 3681*o + 5562 = 0.
-206, 3
Factor -3*t**2/7 + 771... | {
"pile_set_name": "DM Mathematics"
} |
644
-525235 (base 6) to base 15
-c982
-6172527 (base 8) to base 9
-3062642
What is -1103302321 (base 4) in base 11?
-214963
Convert 620454 (base 15) to base 9.
8680207
What is 6d5e8 (base 15) in base 9?
581622
What is 122321200 (base 4) in base 5?
12011201
What is 203331200 (base 4) in base 11?
a0736
Convert -384494 (b... | {
"pile_set_name": "DM Mathematics"
} |
) = q**2 + q + 5. Let f(p) = 4*p**2 + 29*p + 12. Give -f(i) + 2*l(i).
-2*i**2 - 27*i - 2
Let m(h) = -7*h + 18. Let p(u) = u - 1. Give m(q) + 6*p(q).
-q + 12
Let q(l) = 7*l - 137. Let h(d) = 8*d - 139. Calculate -5*h(g) + 6*q(g).
2*g - 127
Let p(b) = b - 3. Let w(r) be the third derivative of -r**4/24 - 50*r**2. What is... | {
"pile_set_name": "DM Mathematics"
} |
n divisor of g and 30?
10
Let j be (-4)/12 - 382/6. Let f be -1*(0 + j + 1). Let i = -42 + f. What is the highest common divisor of i and 14?
7
Let i(n) = n + 5. Let z be i(0). Suppose -z*h - p = p - 162, 4*h = p + 127. What is the highest common divisor of 8 and h?
8
Suppose -3*a + 28 = -n, 4*a + n - 12 = 2*a. What is... | {
"pile_set_name": "DM Mathematics"
} |
7 and v?
27
Let c = -367 - -355. Let q be ((-4)/c)/((-3)/(-3366)). Suppose 0 = p + 3*p - 136. Calculate the greatest common factor of p and q.
34
Let x = 65 - 63. Suppose -4*h = -q + 263, x*q - h - 474 = -6*h. What is the highest common divisor of q and 38?
19
Suppose -2717 = -12*x + 2104 + 51. What is the greatest com... | {
"pile_set_name": "DM Mathematics"
} |
(a) p (b) -1/3 (c) 0.1
a
Let l = 100 - 100. What is the biggest value in -2/21, l, 2/13, -1?
2/13
Let w = 3 + 0.1. Let m = -3 + w. Let h = m - -0.3. Which is the third smallest value? (a) -2/9 (b) h (c) -3
b
Let l be (7/2 + -1)*2. Suppose 0 = l*t - 25 + 5. What is the biggest value in 2/3, -2/3, t?
t
Let h = -2.67... | {
"pile_set_name": "DM Mathematics"
} |
237621924
What is next in -10193, -22800, -35411, -48026, -60645, -73268?
-85895
What is the next term in -2162251, -4324506, -6486763, -8649022, -10811283, -12973546?
-15135811
What is next in 181057379, 181057385, 181057391, 181057397?
181057403
What comes next: -245699, -983164, -2212401, -3933410, -6146191, -88507... | {
"pile_set_name": "DM Mathematics"
} |
. Let d = -202 + p. Sort -2/3, d, y.
-2/3, y, d
Let v be 1*(-12)/(-3) + 12. Suppose 0 = 5*t - v + 1. Suppose 0 = 3*f - 4*f + t. Put -1, -2/5, f, 12 in increasing order.
-1, -2/5, f, 12
Let u = 1359 - 1346. Let q = 7.5 + -8. Put q, -0.3, 0.3, u in increasing order.
q, -0.3, 0.3, u
Let b = -190 - -190.4. Sort 2, 0.05, b,... | {
"pile_set_name": "DM Mathematics"
} |
7.6?
-2625.6
0.3+2486
2486.3
What is 8.7 plus -1.33?
7.37
-8.5+23
14.5
Calculate -0.0307 + -3.
-3.0307
Calculate -0.2 + 0.0632.
-0.1368
35328 - 0.8
35327.2
What is 0.55194 + 0.17?
0.72194
What is 0.1 less than -5563?
-5563.1
Sum 2 and 0.736.
2.736
Work out 0.4 + 188.
188.4
Subtract 1564 from 0.5.
-1563.5
What is -123 p... | {
"pile_set_name": "DM Mathematics"
} |
*k. Let q be o(-1). Let j = -4 + 3. List the prime factors of 1/(q*j/9).
3
Let i(l) be the first derivative of -3*l**2 - 15*l - 7. List the prime factors of i(-6).
3, 7
Let c(r) = 23*r + 1. List the prime factors of c(2).
47
List the prime factors of 1 + 10*1/(2/13).
2, 3, 11
Suppose 0 = 3*m + 2*l - 23, 3*m + 4*l - l =... | {
"pile_set_name": "DM Mathematics"
} |
= 7*l + 258. Calculate y(z).
6
Let b(z) be the second derivative of z**3 - 11*z**2 + 181*z. Let m(p) = 8*p - 22. Let i(y) = -3*b(y) + 2*m(y). What is i(13)?
-4
Let p(b) be the third derivative of -49*b**4/24 - b**3/2 - 164*b**2 - 3*b. What is p(1)?
-52
Let u(c) = 2*c**3 - c**2 - 4*c. Suppose 5*k = -117*d + 120*d + 6, ... | {
"pile_set_name": "DM Mathematics"
} |
3*q**2 + 7 = 0.
-2
Let p be 3*(-3)/(-9) - -1. Let f be (51/27 - p)*-6. Factor -2/3*q**3 - 2/3*q**4 + f*q + 0 + 2/3*q**2.
-2*q*(q - 1)*(q + 1)**2/3
Let z(y) be the third derivative of 6*y**2 + 1/360*y**6 + 0*y + 0*y**4 - 1/90*y**5 + 0*y**3 + 0. What is h in z(h) = 0?
0, 2
Let u(g) = 7*g**2 - 24*g + 8. Suppose 0 = 5*c + ... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of u(0)?
2
Let l(y) = -y**3 - y. Let b(j) = 2*j**3 + 4*j**2 + 2*j. Let n(u) = -b(u) - 4*l(u). List the prime factors of n(3).
2, 3
Let r(f) = f**2. What are the prime factors of r(-5)?
5
Let t = -29 - -107. List the prime factors of t.
2, 3, 13
What are the prime factors of 1*(25 + 1 + 1)?
3
Let b(n)... | {
"pile_set_name": "DM Mathematics"
} |
of c(b). Is t(-2) even?
True
Let r(b) = 21 + 12*b**2 - b**3 - 15 - 5*b**2 - 7*b. Let k be r(5). Suppose -4*x = -k - 15. Is x a multiple of 4?
False
Suppose 0 = -2*o - 0*o - 18. Let l = 17 - o. Is 13 a factor of l?
True
Suppose 3*k = -5*b + 1439, -3*b + 4*k + 400 = -446. Is b a multiple of 22?
True
Let c = 33 + -20. Su... | {
"pile_set_name": "DM Mathematics"
} |
is prob of picking 1 h, 1 v, and 2 e?
36/1615
Two letters picked without replacement from munmm. Give prob of picking 1 m and 1 u.
3/10
Two letters picked without replacement from {e: 4, p: 2, i: 3, r: 6}. Give prob of picking 1 r and 1 i.
6/35
Four letters picked without replacement from zwzzwz. Give prob of picking ... | {
"pile_set_name": "DM Mathematics"
} |
0/100)/(3/15).
96
Let q(m) = -m**3 - 6*m**2 - 6*m - 6. Let a(p) = 2*p**3 + 11*p**2 - 10*p - 12. What is the remainder when q(-6) is divided by a(-6)?
6
Let w be -4 - -1*57/3. Let p = w - -8. What is the remainder when p is divided by 12?
11
Let t(c) be the second derivative of 5/6*c**3 - 5*c - 2*c**2 + 0 + 1/5*c**5 - 1... | {
"pile_set_name": "DM Mathematics"
} |
-4/343, 0.5, -3.
-3, -4/343, 0.5
Sort 3, -5, 587 in increasing order.
-5, 3, 587
Put 6, 5, -10, 1 in decreasing order.
6, 5, 1, -10
Sort 0, 3, 119, -2 in descending order.
119, 3, 0, -2
Sort 25, 1, -0.2, -15, -5.
-15, -5, -0.2, 1, 25
Put 6, -0.5, -1, 1.6 in increasing order.
-1, -0.5, 1.6, 6
Put -2, -1, -0.04, 0.5 in ... | {
"pile_set_name": "DM Mathematics"
} |
1/4)/p)/p)/p)) assuming p is positive.
p**(-8)
Simplify ((y**(-2))**(-24))**10 assuming y is positive.
y**480
Simplify ((m/(m/(m**1/m)*m))**(1/6))**(-4/11) assuming m is positive.
m**(2/33)
Simplify x*x**4*x*((x*(x/(x*(x**0*x*x)/x))/x)/x)/x*(x**0)**(1/7) assuming x is positive.
x**3
Simplify (q/q**(-4))/q**(2/11)*q**(2... | {
"pile_set_name": "DM Mathematics"
} |
9 = 0. Let d be (2/v)/((-2)/8). Suppose 5*m = d*f + 16 + 13, 0 = -2*m - 4*f + 2. Solve -s = -6*s + m for s.
1
Let k = 4 - 2. Suppose x = -2*x + 12. Solve x = 2*i - k for i.
3
Let g = -8 - -16. Solve 0 = -4*o + g - 0 for o.
2
Let b = 11 + -6. Solve -o = -1 + b for o.
-4
Let b be 15/(-75) - (-2)/10. Solve b = u - 4 + 3 ... | {
"pile_set_name": "DM Mathematics"
} |
3 dps.
0.01
Let c = 0.07 - 0.232. Let k = 3.888 - c. Round k to the nearest integer.
4
Let n(x) be the third derivative of -x**5/12 - x**4/24 - 9*x**3/2 - 8*x**2 + 1. Let o be n(-9). What is o rounded to the nearest ten?
-420
Let r = -952128 - -11557128. Round r to the nearest 100000.
10600000
Let o = 46 + -34. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
Which is the fourth biggest value? (a) 2 (b) -2 (c) 3 (d) 0.202
b
Which is the third smallest value? (a) -7.5 (b) -10 (c) -1/7
c
Which is the third smallest value? (a) 5736 (b) 0.5 (c) -0.2
a
Which is the fourth biggest value? (a) -0.5 (b) 5 (c) 0.4 (d) -1/5 (e) -1/81
d
What is the second smallest value ... | {
"pile_set_name": "DM Mathematics"
} |
itive.
c**(-1663/25)
Simplify (u/u**(-1/2)*u**9/u)**(-5) assuming u is positive.
u**(-95/2)
Simplify (n*n**(3/25))/n**(2/3) assuming n is positive.
n**(34/75)
Simplify (v/(v**(2/13)/v)*v*v/(v**(-6)/v*v*v))/(v*v**(-3)*(v*v**(2/7)*v)/v) assuming v is positive.
v**(870/91)
Simplify v*v**(1/9)*v*v**23 assuming v is positiv... | {
"pile_set_name": "DM Mathematics"
} |
(c) p
c
Let h be (-198)/(-136)*(14 + (-440)/30). Let o = -8/17 - h. What is the third biggest value in 3/2, o, -1, 4?
o
Let s = -0.07 + 0.37. Let p = -102.69 - -118. Let k = p - 15.3. Which is the second biggest value? (a) k (b) s (c) 2/7
c
Let k = 3651 - 3650. What is the fourth biggest value in -4, -2, -1.1, k?
-... | {
"pile_set_name": "DM Mathematics"
} |
e greatest common divisor of 358140 and 4131300?
2820
Calculate the greatest common divisor of 4566618 and 252.
126
What is the greatest common factor of 25901 and 26735539?
439
Calculate the highest common divisor of 478898 and 4101048.
1106
What is the greatest common factor of 2845 and 977?
1
What is the greatest co... | {
"pile_set_name": "DM Mathematics"
} |
) wrt w?
-1536*w
Let v(z) = 174*z**3 - 2*z - 225. Let b(o) = -866*o**3 + 11*o + 1124. Let u(c) = 2*b(c) + 11*v(c). Find the first derivative of u(g) wrt g.
546*g**2
What is the second derivative of -2*v**5 - 163*v - 115*v + 144*v + 11*v**2 wrt v?
-40*v**3 + 22
What is the first derivative of 102*o**4 - 399 + 30*o**3 - ... | {
"pile_set_name": "DM Mathematics"
} |
d: 1}?
1/3
Four letters picked without replacement from gccghhcgcb. Give prob of picking 1 h, 2 g, and 1 b.
1/35
What is prob of picking 3 o when three letters picked without replacement from teootttttetttoeeote?
4/969
Two letters picked without replacement from {w: 2, p: 7}. Give prob of picking 2 p.
7/12
Calculate p... | {
"pile_set_name": "DM Mathematics"
} |
r equal to n?
True
Let p = -8 - -10. Which is smaller: -15 or p?
-15
Let w(o) = o + 4. Let h(g) be the first derivative of g**2/2 - 3*g + 1. Let t be h(-4). Let r be w(t). Are r and -2 equal?
False
Let g be (-2 + (1 - 1/(-2)))*-2. Which is bigger: g or 16/13?
16/13
Let u be (2/(-2))/(2/(-6)). Let j = 111 + -103. Let o ... | {
"pile_set_name": "DM Mathematics"
} |
12*9/(-6)).
-2/39
Calculate (-7)/(-1) + (-22)/((-22)/(-9)).
-2
Calculate (1 - 0)*(15/(-12) - 1).
-9/4
What is (4813 - 4822)*(57/(-27) - (-1)/1)?
10
What is the value of (-1)/5*27 + (22 - (26 - 8))?
-7/5
What is (7/28)/(1/1)*524/(-3799)?
-1/29
2 + 138/(-24) - 24/(-4)
9/4
What is (-8)/6*945/210?
-6
(-1 + 3)/((-101)/404)
... | {
"pile_set_name": "DM Mathematics"
} |
9, -7/12?
1/25
What is the closest to 0 in -1.1, 3/5, 1, 8946/5?
3/5
Which is the nearest to -1? (a) 48/5 (b) -5/3 (c) 5 (d) -2721 (e) -1
e
Which is the nearest to 2/5? (a) -3/4 (b) -29 (c) 1/9 (d) 3 (e) -0.22
c
What is the nearest to -0.1 in 1/6, 3, 4049?
1/6
What is the nearest to -0.0667 in 11/10, 0.4, 5?
... | {
"pile_set_name": "DM Mathematics"
} |
f 647.
647
List the prime factors of 415.
5, 83
List the prime factors of 742.
2, 7, 53
What are the prime factors of 7081?
73, 97
What are the prime factors of 16773?
3, 5591
What are the prime factors of 12259?
13, 23, 41
List the prime factors of 1363.
29, 47
What are the prime factors of 1667?
1667
List the prime f... | {
"pile_set_name": "DM Mathematics"
} |
te the least common multiple of t and 40.
120
Let s(g) = 7*g - 6. Suppose 261 - 16 = 5*b. Suppose b = 4*j + 1. What is the least common multiple of s(4) and j?
132
Let t = -21 - -22. Let o be t/(-4 + (-236)/(-60)). What is the common denominator of (-10)/o*93/(-48) and 47/16?
48
Suppose 847 = 120*q - 113*q. Calculate t... | {
"pile_set_name": "DM Mathematics"
} |
2/(-9). Let r be j(z). Find the common denominator of -45/2 and 0 - -2 - 186/r.
4
Let r = 56 + -27. Suppose -5*p - 9 = -r. Suppose -h = -p*h + 3*j - 135, 4*j = -h - 70. Find the common denominator of 53/3 and h.
3
Calculate the least common multiple of (6/15)/((-1)/(-10)) and 6.
12
Suppose 3*r + r = -2712. What is the... | {
"pile_set_name": "DM Mathematics"
} |
4. Let a be ((-21)/(-14))/(2/(-12)). Let s be l(a). Suppose 25 = s*j + j. What is the units digit of j?
5
Suppose -5*y - 188803 = -19*y + 48413. What is the thousands digit of y?
6
Let s(a) = a**2 + 18*a - 61. Let l be s(13). Let n = 1702 - l. What is the thousands digit of n?
1
Let n be -2*(-1458)/(-72)*(-2)/3. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
2*z**3 + 3*z**2
Let y = 11 - 6. Let o(j) = -3*j + 5. Let d be o(0). Let f(p) = -2*p - y*p + d*p + 3*p. Let s(n) = -5*n + 1. What is -3*f(q) - s(q)?
2*q - 1
Let b = 37 - 41. Let i be (4 + -2 + b)/2. Let d(h) = -5*h**2 + 6. Let a(l) = l**2 - 1. Suppose -5*f - 22 = -0*k + 4*k, 2*f + 8 = -2*k. Give f*a(g) + i*d(g).
-g**2
L... | {
"pile_set_name": "DM Mathematics"
} |
- (-15)/(-3)) + 16. Let o = q + -14. What is the units digit of o?
1
Suppose 4*c - 8 = -3*r, -r + 4*c = c + 6. Suppose -5*h = -r*h - 15. Suppose -h*k = k - 112. What is the units digit of k?
8
Suppose 5*x - 10 = -i, -4*i + 5 = 5*x + 10. Let c be x + (6/3 - 1). Suppose -c*n + 2*n = -48. What is the tens digit of n?
2
Su... | {
"pile_set_name": "DM Mathematics"
} |
smallest value? (a) o (b) -3 (c) j
b
Let c = 4593 - 4592. What is the third biggest value in -0.02, 1/2, -2/11, -5/8, c?
-0.02
Let i = -96 + 134. Let k = -23 + i. Let g = 12 - k. Which is the fourth biggest value? (a) -0.3 (b) g (c) 0.1 (d) -1
b
Let a = -36273 + 36257. What is the smallest value in -6, a, 0.059?... | {
"pile_set_name": "DM Mathematics"
} |
*3 - 2 - 5*n + 86*n**3 - 789*n**2 in the form k*n + j*n**3 + c + f*n**2 and give c.
-2
Rearrange -3*s**3 - 263*s + 6 + 261*s - 4*s**3 - 5*s**3 + 18*s**3 to g*s**2 + w*s**3 + c*s + n and give c.
-2
Express 3*j + 4*j**3 - 6660 + j**2 + 6678 - 12*j**3 as p*j**3 + r*j + y + v*j**2 and give r.
3
Express (-2*f**2 + 2*f**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
806, 738, 678, 626, 582, 546?
518
What comes next: -406, -767, -1294, -2023, -2990, -4231, -5782?
-7679
What comes next: 77101288, 154202574, 231303860, 308405146, 385506432?
462607718
What is next in -1550352, -1550349, -1550342, -1550331?
-1550316
What is next in -1954194, -3908377, -5862560, -7816743?
-9770926
What ... | {
"pile_set_name": "DM Mathematics"
} |
/6) + 0. Calculate the highest common divisor of o and 100.
20
Suppose -7*i = -51 - 61. Suppose -10*a + 13*a - 2*w = i, 0 = -5*a + w + 15. What is the greatest common divisor of 14 and a?
2
Suppose 80*o = 165079 - 46279. Calculate the highest common divisor of 2160 and o.
135
Suppose y + 155 = 6*y. Let a(c) = 16*c - 13... | {
"pile_set_name": "DM Mathematics"
} |
be a(-5). Suppose -h + 46 = -3*p - 3, -2*h - 4*p = -c. Suppose 0 = 2*o - 4*o + h. Is o composite?
False
Let s(o) = -o**2 - 4*o + 3. Suppose 4 = -6*c + 5*c. Let v be s(c). Suppose v*g + 179 = 644. Is g a composite number?
True
Suppose -5*a + 115 = -5*o - 230, -5*o + 4*a = 341. Let z = o - -136. Is z a prime number?
Tru... | {
"pile_set_name": "DM Mathematics"
} |
uence smp.
1/51
Calculate prob of sequence ddd when three letters picked without replacement from {d: 9, x: 2}.
28/55
Calculate prob of sequence vwww when four letters picked without replacement from {s: 3, v: 3, w: 7}.
21/572
What is prob of sequence tpy when three letters picked without replacement from fyfopffffpptp... | {
"pile_set_name": "DM Mathematics"
} |
n three letters picked without replacement from {y: 4, a: 10}?
30/91
Calculate prob of picking 1 j and 2 a when three letters picked without replacement from {a: 7, g: 2, j: 2}.
14/55
Three letters picked without replacement from {n: 2, y: 1, d: 1, a: 4}. Give prob of picking 2 a and 1 n.
3/14
Three letters picked with... | {
"pile_set_name": "DM Mathematics"
} |
180108 is divided by 31.
29
Calculate the remainder when 62308 is divided by 67.
65
Calculate the remainder when 21228 is divided by 1081.
689
What is the remainder when 187729 is divided by 1173?
49
What is the remainder when 14227 is divided by 8?
3
Calculate the remainder when 372251 is divided by 9079.
12
Calculate... | {
"pile_set_name": "DM Mathematics"
} |
- 91?
-906
What is the derivative of -343*k*w**3 + 25*w**3 + 11*w wrt k?
-343*w**3
What is the first derivative of -53*d**3 + 5282?
-159*d**2
What is the second derivative of w**3*z**2 + 24*w**3 - 31*w**2*z**3 - 6*w**2*z + 4*w - 58*z**2 wrt z?
2*w**3 - 186*w**2*z - 116
What is the second derivative of 1497*a**3*z - 2*a... | {
"pile_set_name": "DM Mathematics"
} |
g order.
72116, 5, -0.03
Put 2/7, -10.9, -26/5, 27 in ascending order.
-10.9, -26/5, 2/7, 27
Sort 4, -6, -1798, -5 in decreasing order.
4, -5, -6, -1798
Put 19, 9, -145, -11 in descending order.
19, 9, -11, -145
Sort 0.2, 2/13, -41, 199.
-41, 2/13, 0.2, 199
Put 1272, 5, -643 in descending order.
1272, 5, -643
Put 1/7, ... | {
"pile_set_name": "DM Mathematics"
} |
453146.
82455558.32
Subtract 199.1 from 3098106390.
3098106190.9
What is -2104 - 9.62608431?
-2113.62608431
Put together 2.07 and 1.248205659873.
3.318205659873
Subtract 68.0675273 from -0.27.
-68.3375273
What is -636944908854 minus -414?
-636944908440
Work out -4.33202 + -0.09189289.
-4.42391289
Work out -302 - -14918... | {
"pile_set_name": "DM Mathematics"
} |
rrange (81*x**2 - 162*x**2 - 145*x**2)*(x - 2*x**2 + 2*x**2 - x**2 - 1) to the form g + r*x**4 + a*x**2 + w*x + m*x**3 and give g.
0
Rearrange -132*l**3 + 5*l + 25342*l**4 + 1 - 50685*l**4 + 25342*l**4 to r*l**4 + d*l**2 + k*l + j*l**3 + b and give j.
-132
Express 853 + 69*j**2 - 5*j**3 - 2*j + 862 - 1716 in the form y... | {
"pile_set_name": "DM Mathematics"
} |
se 65 = -2*v + 71. Determine x so that 1/2*x**4 + 0*x + 0*x**v + 0 - 1/2*x**2 = 0.
-1, 0, 1
Let h(c) be the first derivative of 1/7*c**2 - 4/7*c + 3 + 4/21*c**3 - 1/14*c**4. Solve h(l) = 0 for l.
-1, 1, 2
Factor -24*n**4 - 4*n**3 - 22*n**4 + 50*n**4.
4*n**3*(n - 1)
Let g(t) be the third derivative of -t**6/120 - t**5/6... | {
"pile_set_name": "DM Mathematics"
} |
). Let x(v) = 4*v**3 - 365*v**2 + 95*v - 364. Let u be x(91). Determine l(u).
17
Let i be 7 + (2 - 0) + -20. Let t(r) = r**2 + 13*r - 16. Give t(i).
-38
Suppose 69*c - 73*c - 33 + 1 = 0. Let s(n) = n**2 + 16*n + 55. Calculate s(c).
-9
Let c(d) be the first derivative of -5*d**2 + 90*d - 5943. Determine c(13).
-40
Let n... | {
"pile_set_name": "DM Mathematics"
} |
?
5
Let r be (-2)/(-9) - 39/54. Which is the second biggest value? (a) -1/3 (b) r (c) 1
a
Let o = -1/290 - -233/290. Suppose 0 = 3*i - 4*s + 7, 5*i - 4*s + 2 = 1. Let h be i/(-4)*24/(-27). Which is the third smallest value? (a) o (b) h (c) -0.3
a
Let h be -8*1/(-18) - 2/(-9). What is the smallest value in -0.3, 0... | {
"pile_set_name": "DM Mathematics"
} |
nd the third derivative of -10*z**2 + v*z - 9*z**4 - 6*z + 6*z**2 wrt z.
-216*z
Let q(x) be the first derivative of -1/3*x**3 + 0*x**2 - 13*x + 53 + 0*x**4 - 21/5*x**5. What is the third derivative of q(h) wrt h?
-504*h
Let n(x) be the second derivative of x**5/10 + 1792*x**4/3 - x**3/6 + 917*x**2/2 + 18*x - 101. What ... | {
"pile_set_name": "DM Mathematics"
} |
/(d*(d*d*d*d**5*d)/d)))/d**1*(d**5*d*d*d**(-2/7))**8 assuming d is positive.
d**(487/7)
Simplify (r**(-1/6)*r*r**(3/7)*r)**(2/7)*(r/(r**(-2/9)*r)*r**(-7)/r)/(r**(-1)*r*r)**8 assuming r is positive.
r**(-6673/441)
Simplify (((o**(4/3)*(o/o**15)/o)**(5/6))**(-1/28))**(1/10) assuming o is positive.
o**(41/1008)
Simplify (... | {
"pile_set_name": "DM Mathematics"
} |
e t.
-122
Rearrange (d**2 + 0*d + 0*d)*(5 - 13 - 52) + 0*d**2 - 2*d**2 - d**2 to the form y*d + u*d**2 + w and give u.
-63
Express (-3*n + 2*n - n)*(-3 + 3 - 7*n**2)*(-2*n + 6 - 6) - 4*n**3 + 4*n**3 - n**4 as w*n**2 + p*n**4 + d*n + j + x*n**3 and give j.
0
Rearrange -m**2 + 0*m**4 - 6*m**2 + 198*m**3 + m**4 - 199*m**3... | {
"pile_set_name": "DM Mathematics"
} |
)?
-o**3 + o**2 - 51*o
Let x(y) = 24. Let o(r) = -r - 7 + 25 - 9 - 5 - 3. Determine 24*o(b) - x(b).
-24*b
Suppose -3*o + 2*s + 7 = 0, 2*o + 6 = -4*s - 0*s. Let f(w) = 606 - 1805 - w**2 + 603 + 599 - 6*w. Let n(i) = i - 1. What is o*f(m) + 5*n(m)?
-m**2 - m - 2
Let j(k) = 21*k. Let m(x) = 106*x + 105. What is -5*j(s) + ... | {
"pile_set_name": "DM Mathematics"
} |
d) = -3*d. Calculate t(z(k)).
-9*k - 1122
Let f(d) = 228*d**2 - 1. Let o(u) be the first derivative of -4*u**2 + 65. Determine o(f(w)).
-1824*w**2 + 8
Let b(c) = 3*c + 10. Let r(i) be the first derivative of -3*i**2/2 + 2076. Give r(b(j)).
-9*j - 30
Suppose -6*n + 6699 = -5943. Let j(d) = -61*d**2 + n - 2107. Let m(g) ... | {
"pile_set_name": "DM Mathematics"
} |
*3 + 2 - 2)*(0 + 0 - 3).
-12*m**4
Expand -3*n + n + n + (-2 + 0 + 3)*(-2*n + n - n) + 4*n - 4*n - 2*n.
-5*n
Expand -w + 2*w**3 + w + (-2*w**2 + 0*w**2 - 2*w**2)*(5*w + 0*w - 4*w).
-2*w**3
Expand (-4*c**4 + 4*c**4 - 2*c**4)*(-3 + 3 - 2*c)*((1 + 1 + 7)*(3 - 1 - 3) - 3 + 3 + 3).
-24*c**5
Expand (0 + 2 + 0)*((0*w**2 - 2*w*... | {
"pile_set_name": "DM Mathematics"
} |
or u.
-14
Solve -300 = -241*b + 166*b for b.
4
Solve 0 = -103*p - 236 - 691 for p.
-9
Solve 1048 = 38*d + 9*d + 84*d for d.
8
Solve 832 = -270*o - 2138 for o.
-11
Solve -175*s = -40*s + 810 for s.
-6
Solve 157 = -17*x - 64 for x.
-13
Solve 0 = -22*r - 38*r + 40*r - 20 for r.
-1
Solve 36*z + 345 = -17*z + 76*z for z.
15... | {
"pile_set_name": "DM Mathematics"
} |
h(p) - 5*r(p). What is the third derivative of d(o) wrt o?
-30
Let z(f) be the second derivative of -5*f**4/12 + 3*f**2/2 + 5*f. Find the first derivative of z(q) wrt q.
-10*q
Let w(x) be the first derivative of 9*x**3 - 5*x**2/2 - 6. What is the second derivative of w(z) wrt z?
54
Let m(t) = 2*t**2 + 2. Let i(o) = -3*... | {
"pile_set_name": "DM Mathematics"
} |
+ -4) + -2 + 2. Calculate the highest common factor of 35 and c.
5
Let x(u) be the third derivative of -u**6/120 - u**5/20 - u**4/8 - 2*u**2. Let s be x(-3). Calculate the greatest common divisor of s and 6.
3
Suppose 0*i + 2*i - 71 = -3*k, -8 = -2*i. Suppose y + 2*x + 18 = 3*y, -y - x = -1. Let b = k - y. Calculate th... | {
"pile_set_name": "DM Mathematics"
} |
ose 0 = 2*d - 9 - q. List the prime factors of 86/d - (-4)/16.
11
Let s(c) = -c**3 - c - 1. Let w(p) = -2*p**2 - 3*p - 2. Let f(t) = -3*s(t) + w(t). List the prime factors of f(1).
2
Let v(f) = f**3 + 11. Let i be v(0). Suppose -i + 1 = -5*y. List the prime factors of y.
2
Suppose 0 = c - 4*c - 66. Let k = c - -32. Lis... | {
"pile_set_name": "DM Mathematics"
} |
o f in i, -0.4, h?
-0.4
Let b = -13.531 + 16.531. What is the closest to 15 in -2, -0.4, b, -0.27?
b
Let l be 34568/1015 - 34 - (-67)/(-35). What is the nearest to -0.3 in l, 5, 1/6?
1/6
Let f = -5457 - -5482. What is the nearest to -0.2 in 1/3, 2, f?
1/3
Let f be (-85)/(-3)*(666/185 - 3). What is the closest to f in -... | {
"pile_set_name": "DM Mathematics"
} |
c) = 11*c - 7. Let q be g(5). Let i = 105 - q. Suppose i = -5*a - 23. Let b(j) = -6*j**3 - 16*j. Let n(k) = 2*k**3 + 5*k. What is a*n(x) - 5*b(x)?
-2*x**3
Let n(d) = -4*d. Let a be (-4)/22 - (-448)/(-77). Let f(x) = 17*x. Determine a*f(k) - 26*n(k).
2*k
Let n(u) = 4*u**3 - 4*u**2. Let q(i) = -6*i**3 + 6*i**2. Let t be ... | {
"pile_set_name": "DM Mathematics"
} |
- 42 = 2*z, 5*z - 56 = -4*u. Solve 2*f - u = 2*v + 2*v, 5*v = -20 for f.
-1
Let v(i) = i**2 + 14*i + 4. Let q be v(-14). Solve -2*c + q*w = -16, -3*w = 12*c - 13*c + 13 for c.
-2
Let u be -3 - 0/((-3)/(1 - 0)). Let y be (-1)/(u/(-3 + 0)). Let l be -1*(-1 - y) + 3. Solve -l*c + p + p = -3, 4 = 4*c - 4*p for c.
1
Let x ... | {
"pile_set_name": "DM Mathematics"
} |
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