text stringlengths 270 8.19k | meta dict |
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8)*(p + 1)/3
Let y(h) be the first derivative of -9*h**5/20 + 21*h**4/8 - 61*h**3/12 + 7*h**2/2 - h - 44. Suppose y(w) = 0. What is w?
1/3, 2
Let k = 652 + -39119/60. Let u(t) be the third derivative of -k*t**5 - 1/360*t**6 + 0*t - 1/9*t**3 - 4*t**2 + 0 + 1/630*t**7 + 5/72*t**4. Factor u(d).
(d - 1)**3*(d + 2)/3
What i... | {
"pile_set_name": "DM Mathematics"
} |
be the second derivative of -u**5/60 + 2*u**3/3 + 3*u**2/2 - 69*u. Let x(d) be the second derivative of z(d). Determine w(x(a)).
-20*a**2
Let d(p) = -p**2 - 4. Let u be (-2)/36*-58 + (-10)/45. Let b(m) = -u + 3 + 3. Let z(a) = -4*b(a) - 3*d(a). Let x(r) = 2*r. Give x(z(i)).
6*i**2
Let i(d) = -2933*d. Let m(p) = -98*p*... | {
"pile_set_name": "DM Mathematics"
} |
lculate the remainder when 3978573 is divided by 795714.
3
Calculate the remainder when 1116535 is divided by 1746.
841
What is the remainder when 738551 is divided by 649?
638
What is the remainder when 36126195 is divided by 221633?
16
Calculate the remainder when 15468823 is divided by 7734396.
31
Calculate the rema... | {
"pile_set_name": "DM Mathematics"
} |
est common factor of 2208 and 2024.
184
Calculate the greatest common factor of 184 and 1336.
8
Calculate the highest common factor of 6396 and 2184.
156
What is the greatest common factor of 1643 and 2852?
31
What is the greatest common factor of 220808 and 952?
56
What is the greatest common factor of 6409 and 20995?... | {
"pile_set_name": "DM Mathematics"
} |
c) = -11*c**2 - 4*c + 3. Let u(o) = -7*f(o) - 6*y(o). Let z be u(-4). Let q = 85 + z. Is 12 a factor of q?
False
Suppose 0 = o - 3 + 6. Let w be (-52)/(-12) - (-1)/o. Suppose 0 = -r - w*r + 240. Is r a multiple of 12?
True
Suppose -3*f - 5*i = -i - 3644, -3*f = -3*i - 3651. Does 86 divide f?
False
Let x(f) = 1 - 25*f**... | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of n and d.
50
Suppose 0 = 5*n - 4*s - 312, -4*n - 124 + 373 = -3*s. Let y(b) = -1 + 3*b - 8*b - 3*b. Let g be y(-2). What is the greatest common divisor of g and n?
15
Let b = -673 + 680. Calculate the greatest common divisor of 5 and b.
1
Let k(o) = 5*o**2 + 1. Let u be k(-2). Let q be ((-2)/(-4))/(u/155... | {
"pile_set_name": "DM Mathematics"
} |
m, h, -1/2?
h
Let n = 100.899 + 0.101. Let q = -3.15 + 0.15. Which is the nearest to -1? (a) n (b) q (c) -2/3
c
Let i = -19/34 - -1/17. Let o be 18/14 + 0 + -1. Let s = -625330/3 + 208444. What is the closest to s in -2/5, o, i?
o
Let x be ((-18)/(-24))/(3/8). Let g be x/12 - (-2 - 95/6). Let s = g - 16. Which is th... | {
"pile_set_name": "DM Mathematics"
} |
+ 0 - 1/2*k**4 + 2*k**3.
-k*(k - 2)*(k - 1)**2/2
Let l(a) = -4*a**4 + 6*a**3 + a**2 - 6*a - 3. Let d(v) = 7*v**4 - 11*v**3 - 2*v**2 + 11*v + 5. Let m(x) = -3*d(x) - 5*l(x). Find j, given that m(j) = 0.
-1, 0, 1, 3
Let h be 720/90 + 0 + (-4)/(-2). Find u, given that -4*u + 2/5*u**2 + h = 0.
5
Let r(f) be the first deriv... | {
"pile_set_name": "DM Mathematics"
} |
-r**3 + 4*r**2 - r + 4. Calculate p(w).
0
Let d(o) be the first derivative of 0*o - 1/60*o**5 + 16/3*o**3 - 22 + 0*o**2 - 1/120*o**6 - 1/24*o**4. Let s(b) be the third derivative of d(b). Give s(-1).
-2
Let n be (-48)/32*(0 + 2/3). Let c(b) be the third derivative of 13*b**5/60 - 5*b**3/6 + 6*b**2. Let i(f) = f**2 - 1... | {
"pile_set_name": "DM Mathematics"
} |
93?
93
What is the greatest common factor of 116493 and 1133?
103
What is the greatest common factor of 4382 and 322?
14
What is the highest common divisor of 7068 and 54948?
228
What is the highest common divisor of 55919 and 1194?
199
What is the greatest common factor of 21112 and 91?
91
Calculate the greatest comm... | {
"pile_set_name": "DM Mathematics"
} |
ke when three letters picked without replacement from mddmkkididmmeddk?
1/560
Calculate prob of sequence qqq when three letters picked without replacement from {w: 2, q: 2}.
0
Calculate prob of sequence vwvv when four letters picked without replacement from wwyvvwvvvvywvv.
8/143
What is prob of sequence jy when two let... | {
"pile_set_name": "DM Mathematics"
} |
nd (3 + 4*t - 1 - 2*t)*(-1 - 2 - 2).
-10*t - 10
Expand (-2*w**2 - w**2 + 0*w**2)*(-2 + 0 + 4)*(3 + 2*w - 3).
-12*w**3
Expand -3*h**3 + 0*h**3 + h**3 + 5*h**3 - 2*h**3 - 2*h**3 + (4*h**2 - 3*h**2 + h**2)*(-2*h - 2*h + 3*h) + (0*h + 11*h + 8*h**2 - 9*h**2)*(0*h + h - 3*h).
-h**3 - 22*h**2
Expand (9*z - 9*z + z**2)*(5*z +... | {
"pile_set_name": "DM Mathematics"
} |
.05.
585667.3054
Subtract -2.161455 from -8456459.
-8456456.838545
What is 39826651 - -11649?
39838300
Work out 0 + 5102.41944999.
5102.41944999
Add -301474769881 and 36.
-301474769845
Total of 124009.44411 and -0.034.
124009.41011
Calculate 17115408 + -107.846.
17115300.154
Total of -4597.9 and 383493742.
383489144.1
... | {
"pile_set_name": "DM Mathematics"
} |
rue
Let t = 0.678 - 13.678. Let f(s) = 8*s**2 + 2*s + 1. Let h be f(-1). Is t less than h?
True
Suppose -m - 1 = 4*w + 2, 3*m - 7 = 4*w. Let g be (19/(-19))/((-1)/w). Let l be ((-138)/34 - -4)/g. Is 1 >= l?
True
Let r be 441/(-504) + 777/(-392). Which is smaller: -16 or r?
-16
Let c be -9 + (0 - 1) - (-40)/(-10). Let o... | {
"pile_set_name": "DM Mathematics"
} |
, 6, 1, 3 in increasing order.
6/7, 1, 3, 6
Put -159, -1, 1/4 in descending order.
1/4, -1, -159
Put -0.2, -1, -8, -5, -7 in increasing order.
-8, -7, -5, -1, -0.2
Put -2, 3, -1, -1/4, -3/5 in descending order.
3, -1/4, -3/5, -1, -2
Put 4, 1, -5, -4/51 in ascending order.
-5, -4/51, 1, 4
Sort -23, -6, -4 in decreasing ... | {
"pile_set_name": "DM Mathematics"
} |
or y.
-3
Let w = 51 - 49. Let y be (2 - 0)/w - -1. Suppose y*r = d + 3, -3*r - 4*d = -2*d + 6. Solve -4*h + h = r for h.
0
Let n(z) = 2*z**3 + 25*z**2 + 33*z + 4. Let m be n(-11). Solve 54 = -22*t + m*t for t.
-3
Let i = 588 - 573. Solve 4 = -i*c + 11*c for c.
-1
Let y(q) be the second derivative of q**3/2 + q**2/2 + 3... | {
"pile_set_name": "DM Mathematics"
} |
f(y) be the third derivative of 0 - 1/4*y**4 - 1/6*y**3 + 0*y + 5*y**2. Suppose 4 = -5*u + 9. Determine f(u).
-7
Suppose 5*a + 563 = 533. Let j(t) = -t**3 + t + 1. Let l(s) = 3*s**3 - 7*s**2 - 10*s - 4. Let q(y) = 4*j(y) + l(y). What is q(a)?
0
Suppose -5*g + 45 = 4*g. Let u(j) = 6 + 10*j + 4*j**3 - 16*j + g*j**2 - 3*j... | {
"pile_set_name": "DM Mathematics"
} |
= -0.42 - 0.18. Let p = o + y. Put p, -1, 37 in descending order.
37, p, -1
Let p = 4643 - 4645. Put -3, p, -8, 6 in descending order.
6, p, -3, -8
Suppose -4*i = -6*i - 2. Let j be 4*((-28)/(-16))/7*(-6 - 0). Let h be (2 + -4)*(-6)/(-4). Put h, i, j in descending order.
i, h, j
Let r = -0.518 - -0.318. Let a be ((-8)/... | {
"pile_set_name": "DM Mathematics"
} |
+ 225.
9*s
Collect the terms in -12*c**3 + 35308*c - 70598*c + 8*c**3 + 35290*c.
-4*c**3
Collect the terms in 17*h - 26*h + h.
-8*h
Collect the terms in -6*z**2 - 149*z**2 - 4*z**3 + z**3.
-3*z**3 - 155*z**2
Collect the terms in 516 - 4*x - 523 + 4*x + x.
x - 7
Collect the terms in -10*j**3 + 483318*j**2 - 483318*j**2.... | {
"pile_set_name": "DM Mathematics"
} |
a) -3264 (b) 8 (c) 3/11
a
What is the biggest value in 1/6, 1/2, 30/67?
1/2
What is the sixth smallest value in -3/11, 2, -0.1, 4, 3, 0?
4
What is the third biggest value in 2914, 2/11, 23.5, 5?
5
Which is the second biggest value? (a) -3/8 (b) -41 (c) -0.8 (d) -0.5 (e) 1/2
a
Which is the smallest value? (a) 2 ... | {
"pile_set_name": "DM Mathematics"
} |
n -t**3/6 - 26*t**2/3 + 53*t/6 = 0?
-53, 0, 1
Solve -3*i**5 + 6*i**4 + 9*i**3 = 0 for i.
-1, 0, 3
Find j, given that j**2/2 - 57*j/2 + 175 = 0.
7, 50
Factor -4*z**4 + 84*z**3 - 452*z**2 + 876*z - 504.
-4*(z - 14)*(z - 3)**2*(z - 1)
Let 8*o**4/3 - 470*o**3/9 + 130*o**2/9 + 470*o/9 - 154/9 = 0. Calculate o.
-1, 1/3, 1, 7... | {
"pile_set_name": "DM Mathematics"
} |
itive.
b**(597/56)
Simplify o**34*o*o/(o**29/o*o) assuming o is positive.
o**7
Simplify (r**(1/2)*r*r/r**(-7)*r)**(-27) assuming r is positive.
r**(-567/2)
Simplify v**22*v*v*(v*v**10*v)/v assuming v is positive.
v**35
Simplify ((i**(-8)*i)/i)/i*i/(i**(-22)*i*i) assuming i is positive.
i**12
Simplify (z**(-2/37)/(z**(2... | {
"pile_set_name": "DM Mathematics"
} |
6) + sqrt(576)*1)).
-2 + 11*sqrt(17)/80
Simplify (-3*-1*-1*sqrt(50))/(sqrt(10) - (sqrt(90) - sqrt(90)*1)/sqrt(9) - ((-1*sqrt(160) + sqrt(160) - sqrt(160)) + sqrt(160) + sqrt(160)))*-6.
-6*sqrt(5)
Simplify 6*(((sqrt(7) + -1 + -2)**2 - sqrt(7)) + -4) + sqrt(63)/(sqrt(99)/(sqrt(22)/sqrt(2)))*4 + -5.
-38*sqrt(7) + 67
Simpl... | {
"pile_set_name": "DM Mathematics"
} |
t x(p) = -2*p**2 + 22*p + 17. Let b be x(12). Let s(l) = -213*l - 2 + 5*l**2 + 432*l - 218*l + 3. Calculate b*s(c) - 3*r(c).
-2*c**2 + 2*c - 1
Let t(y) = -8*y**3 + 6*y**2 + 9*y + 10. Let i(n) = -n**3 + n**2 + n + 1. Let l(m) = 7*m**3 + 53*m**2 - 27*m - 18. Let o be l(-8). Determine o*i(s) - t(s).
2*s**3 - 3*s - 4
Let w... | {
"pile_set_name": "DM Mathematics"
} |
80
Calculate 0.01*-2580.3.
-25.803
Multiply -0.0315387 and 2.
-0.0630774
Multiply -1258 and -3705.
4660890
What is the product of 1 and 509628?
509628
Work out -16031 * -0.5.
8015.5
Work out 0.6987 * 0.
0
Product of 3.09 and -0.0124.
-0.038316
1*596846
596846
What is -188.4 times 588?
-110779.2
What is 1.5 times 4.1002... | {
"pile_set_name": "DM Mathematics"
} |
-3*c. Let a be -4 - (-1 - 1/1). Put -11, c, a in ascending order.
-11, c, a
Suppose -3*w + 7*o + 1 = 6*o, -6 = 2*w - 4*o. Sort 27, w, 12.
w, 12, 27
Suppose -5*t = -3*h + 31, -h - 13 = 2*t + t. Let m(b) = -3*b. Let c be m(1). Suppose -62*n - 514 = 201*n - 6*n. Sort t, n, c in ascending order.
t, c, n
Let t be (4/(-14))... | {
"pile_set_name": "DM Mathematics"
} |
2 - 44*i = 0.
-14, 1, 3
Suppose -4*j + 50 = -a + 2*a, 5*j - 3*a - 54 = 0. Let k = j - 10. Find m, given that -2*m**3 + 2*m**3 - m - 2*m**2 + m**3 + k*m = 0.
0, 1
Let j = -285 - -287. Determine l, given that 2/5*l**5 + 8/5*l**j - 4/5*l**4 + 0 - 6/5*l**3 + 8/5*l = 0.
-1, 0, 2
Let j(g) = -17*g**2 - 121*g - 259. Let c(b) =... | {
"pile_set_name": "DM Mathematics"
} |
111 for m.
6
Let a be 4334/985 - 3/(-5). Solve 0 = -a*c + 556 - 546 for c.
2
Let n(f) = -2*f**3 - 13*f**2 - 13*f + 6. Let k be n(-8). Let c = k - 298. Let v be (3/(-12))/(2/(-8)). Solve z + v = c for z.
3
Let z(h) be the first derivative of h**4/2 - 5*h**3/3 + 5*h**2/2 - 17. Let p be z(3). Solve -12*m + p = -4*m for m... | {
"pile_set_name": "DM Mathematics"
} |
5, what is -16 - 9?
-20
In base 5, what is 2314 - -3?
2322
In base 6, what is -4 - -4355?
4351
In base 15, what is 2 + 6a?
6c
In base 12, what is -1 - -39?
38
In base 11, what is 129 + -4?
125
In base 10, what is 2 - 64?
-62
In base 12, what is -2 + b6?
b4
In base 3, what is 21 + 212?
1010
In base 3, what is 222 - -210... | {
"pile_set_name": "DM Mathematics"
} |
t p(y) be the first derivative of -64*y + n*y**4 - 3 - 2/5*y**5 + 56*y**2 - 24*y**3. Find t such that p(t) = 0.
2, 4
Let q(f) be the first derivative of 2*f**5/5 - 29*f**4 - 40*f**3 + 58*f**2 + 118*f + 2178. Find r, given that q(r) = 0.
-1, 1, 59
Let f(x) be the third derivative of 1/1800*x**6 - 10*x**2 + 7/6*x**3 + 0*... | {
"pile_set_name": "DM Mathematics"
} |
3*r - 2. Let z(f) = -2*f**2 + 231*f - 12998. Let m(p) = -3*l(p) + 3*z(p). Factor m(j).
-3*(j - 114)**2
Let g(m) be the first derivative of -m**4/4 + 2*m**3 + m**2/2 - 3*m + 3. Let u be g(6). Factor 3*d**3 - 7*d**2 + u*d**2 + 10*d**2.
3*d**2*(d + 2)
Let q = -41 - -66. Determine z, given that -q*z**2 + 24*z - 48*z**5 + 4... | {
"pile_set_name": "DM Mathematics"
} |
o five dps.
-0.0755
What is -0.00038563 rounded to five dps?
-0.00039
Round 0.04611981 to 5 decimal places.
0.04612
What is 0.000027572625 rounded to six dps?
0.000028
What is 385280 rounded to the nearest ten thousand?
390000
What is -279996 rounded to the nearest 100000?
-300000
What is -2411400 rounded to the neares... | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from xxxxxxxxxvxxxxx. What is prob of picking 1 v and 1 x?
2/15
Three letters picked without replacement from rnnuz. Give prob of picking 2 n and 1 z.
1/10
Calculate prob of picking 1 p and 3 g when four letters picked without replacement from pgoooopgpppogpogop.
7/765
Three letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
Let c be 1/2*l/(-6). What is the nearest to 0.1 in c, 2, -0.5?
c
Let h = -0.254 - 0.046. Which is the closest to -2? (a) -0.2 (b) 1 (c) h
c
Suppose -d = 3*k - 6, 0 = -7*d + 11*d + 4*k - 16. Which is the closest to -0.02? (a) 1/6 (b) d (c) 0.5
a
Suppose -4*k - 17 + 1 = 0. Suppose 0 = -4*x - 4*m + 16, -2*x = -x - m... | {
"pile_set_name": "DM Mathematics"
} |
11, -15088, -22471, -29564, -36271, -42496, -48143, -53116?
-57319
What comes next: -872086, -1744131, -2616176, -3488221, -4360266, -5232311?
-6104356
What is next in 1553, 1661, 1841, 2105, 2465, 2933?
3521
What comes next: 1617314, 1617913, 1618512, 1619111, 1619710?
1620309
What comes next: 2867, 22997, 77655, 1841... | {
"pile_set_name": "DM Mathematics"
} |
or p.
-2/3, -3/5, 13
Suppose 4*g - g = -9. Let v(t) = 95*t**2 + 840*t + 2940. Let w(k) = 8*k**2 + 70*k + 245. Let l(u) = g*v(u) + 35*w(u). Solve l(d) = 0.
-7
Let j(m) be the second derivative of -m**4/84 + 5*m**3/42 + 205*m. Let j(a) = 0. Calculate a.
0, 5
Let h(l) be the third derivative of 0*l**3 + 0*l**7 + 0*l**4 + ... | {
"pile_set_name": "DM Mathematics"
} |
t p be w(0). Put v, 4, p in increasing order.
v, p, 4
Let c = -3.3 - -3.45. Suppose 20*f = -68 + 139 - 11. Let x = -0.1 - -0.5. Sort x, c, f in descending order.
f, x, c
Suppose -q + 5 = 4*u, 0*u = 4*u + 3*q + 1. Let s be (-1)/(1 - 0/u). Suppose -2*x - 2*h = -6*x - 14, -4*h - 4 = 0. Sort x, s, -3 in ascending order.
x,... | {
"pile_set_name": "DM Mathematics"
} |
n*g(w) - p(w). Determine o(a(r)).
-16*r**2
Let f(x) = x. Let i(g) be the second derivative of 2*g + 1/6*g**4 + 0 + 0*g**2 + 0*g**3. Give f(i(s)).
2*s**2
Suppose 5*g - 81 = -3*i, 4*g + 54 = 3*i - 0*i. Let x(j) = 3*j + 13*j + 7*j - i*j. Let c(z) = -3*z. Determine x(c(w)).
-3*w
Let v(b) = 4*b**2 - 21*b. Let p(n) = n**2. C... | {
"pile_set_name": "DM Mathematics"
} |
2*n - 3*n. Calculate o(d).
0
Let q be 0*(-4 + 0)/(-4). Let f(m) = 4*m - 15. Let y(o) = -3*o + 10. Let n(c) = -5*f(c) - 7*y(c). Give n(q).
5
Let w(c) = -c + 6. Let a be w(5). Let r(u) = u + 1. Let m(g) = 5*g**2 + 9*g + 9. Let d(k) = 2*m(k) - 18*r(k). What is d(a)?
10
Let r(a) = a + 2. Suppose 2*o + 7 = 3. Calculate r(o)... | {
"pile_set_name": "DM Mathematics"
} |
3 + 4 + 5*x - x**2 + 0*x**2 + 5. What is m(s)?
0
Let y(c) = -2*c + 7 - 12 + c. Let b(l) = -1. Let r(u) = 3*b(u) - y(u). Let p(j) = -j**2 - 9*j + 16. Let a be p(-11). Give r(a).
-4
Let g(s) = s**2 + 11*s + 10. Suppose -33 - 17 = 5*y. Determine g(y).
0
Let k(b) = -2*b - 7. Let j(y) = -y**3 - 4*y**2 - 5. Suppose -5*l - 20... | {
"pile_set_name": "DM Mathematics"
} |
et u(c) be the third derivative of 7*c**5/30 + 17*c**4/24 - 116*c**2. Give w*u(i) - 17*d(i).
-i**2
Let m(r) = -5. Suppose n + 13 = 4*l, 2*l - 3*l + 5 = -2*n. Let v(f) be the second derivative of -f**4/12 - 3*f**2 + 347*f. What is l*v(i) - 4*m(i)?
-3*i**2 + 2
Let c(u) = -7*u + 15*u - 5*u - u. Let r(s) = s**3 + 2*s + 2. ... | {
"pile_set_name": "DM Mathematics"
} |
to 0 in k, 0.5, z?
k
Let z = -514.7 + 515. Which is the nearest to z? (a) 0 (b) 3 (c) -3
a
Let l(q) = q**3 - 9*q**2 - 10*q. Let n be l(10). Let g = 0.2 + 1.8. Let x = -77 - -77. What is the nearest to n in 0.2, g, x?
x
Let o(y) = -20*y**2 - 4*y + 1 - 10 + 21*y**2. Let k be o(5). Which is the nearest to 1? (a) -1/2... | {
"pile_set_name": "DM Mathematics"
} |
3
Let m(r) be the third derivative of 31*r**2 - 1/15*r**5 + 1/120*r**6 + 0*r + 0*r**4 + 0 - 83/6*r**3. What is the first derivative of m(t) wrt t?
3*t**2 - 8*t
Let w be 1/((-5)/3) + 386400/250. What is the second derivative of 1 + 1545*j**2 - w*j**2 - 45*j**4 + 22*j wrt j?
-540*j**2
Let o(q) = -159*q**3 + 244*q**2 + 6*... | {
"pile_set_name": "DM Mathematics"
} |
j**5 - 6*j**4 - 6*j**3 + 12*j**2 + 9*j - 6. Let m(n) = 6*l(n) + 5*w(n). Factor m(x).
3*x*(x - 1)*(x + 1)**3
Let o = 247571 + -1231952/5. Let u = o - 1177. Factor 4/5*i + 14/5*i**3 + u*i**2 + 0.
2*i*(i + 1)*(7*i + 2)/5
Factor -3/5*y**2 + 0 - 3/5*y**3 - 1/5*y**4 - 1/5*y.
-y*(y + 1)**3/5
Let s(o) be the first derivative o... | {
"pile_set_name": "DM Mathematics"
} |
9, 2, -2/5, 0.3?
0.3
Which is the second biggest value? (a) 0.5 (b) 20/23 (c) 3.1 (d) 1 (e) 0.4 (f) 0.3
d
Which is the smallest value? (a) -738 (b) -0.4 (c) -2/13 (d) 1/2 (e) 0.15
a
What is the second smallest value in 1, -3, 2659?
1
Which is the second smallest value? (a) 0 (b) -3 (c) -3/13 (d) -2019
b
... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 1 + 242 + (d - 1).
2, 31
Let p be -1*682/(-6) + (-24)/(-72). Let t = p + -49. What are the prime factors of t?
5, 13
Suppose 0 = -81*y + 86*y - 4*p - 2699, -2*y - 4*p + 1102 = 0. List the prime factors of y.
3, 181
Suppose -2*t = -0*o + o - 188, 4*t + 5*o = 388. What are the prime factors of (-9)/(... | {
"pile_set_name": "DM Mathematics"
} |
ghest common factor of 18 and 81.
9
What is the highest common divisor of 36 and 708?
12
Calculate the highest common factor of 100 and 475.
25
What is the greatest common factor of 3496 and 380?
76
Calculate the greatest common factor of 232 and 32.
8
What is the highest common divisor of 189 and 18144?
189
What is th... | {
"pile_set_name": "DM Mathematics"
} |
1, 5
Let s be (-5 - -3)*4/(-6)*(-297)/(-198). Let 675/2*z**4 + 4 + 42*z + 695/2*z**3 + 173*z**s + 125*z**5 = 0. What is z?
-1, -1/2, -2/5
Let m(k) = 5*k**2 - 1625*k + 134475. Let j(l) = 5*l**2 - 1622*l + 134474. Let p(d) = -5*j(d) + 6*m(d). Factor p(x).
5*(x - 164)**2
Let q(s) be the third derivative of s**7/1260 + s*... | {
"pile_set_name": "DM Mathematics"
} |
1169*x**3
Collect the terms in -3363*f**3 - 3352*f**3 + 6713*f**3.
-2*f**3
Collect the terms in -2 - 72*c**3 + 3611*c**3 - 1686*c**3 + 5490*c**3.
7343*c**3 - 2
Collect the terms in 127*r**2 + 136*r**2 + 120*r**2 - 511*r**2 + 2*r**3 + 128*r**2.
2*r**3
Collect the terms in -10936*z**3 - 10929*z**3 + 21871*z**3.
6*z**3
Co... | {
"pile_set_name": "DM Mathematics"
} |
arest integer?
3996
Round -1.61440301 to one dp.
-1.6
What is -72.229871 rounded to two decimal places?
-72.23
What is 3143.503805 rounded to zero dps?
3144
Round 0.58642692 to the nearest integer.
1
What is 27705585.17 rounded to the nearest 1000000?
28000000
Round 0.06441377524 to 3 dps.
0.064
What is -10.3163702 rou... | {
"pile_set_name": "DM Mathematics"
} |
ivative of -55984673*w**5 + 61*w**2 - 105101 wrt w?
-3359080380*w**2
What is the first derivative of 45001*z**2 + 1465*z - 286627984 wrt z?
90002*z + 1465
Find the third derivative of -924559628*a**4 - 964543509*a**2 wrt a.
-22189431072*a
What is the derivative of -41229552*u + 48273444?
-41229552
What is the third der... | {
"pile_set_name": "DM Mathematics"
} |
d biggest value? (a) -0.3 (b) q (c) 3 (d) f
d
Let y = -1704.2 + 1484. Let m = y - -195. Let q = m - -25. Which is the second smallest value? (a) q (b) -2 (c) -1/4
c
Let h = -3 - -3.1. Let p be 3 - 2*(-552)/(-336). What is the fourth smallest value in h, 1, -1/4, p?
1
Let a = 0.00217 - -3.99783. What is the third... | {
"pile_set_name": "DM Mathematics"
} |
233106847 rounded to six dps?
0
Round 158111.7 to the nearest 100000.
200000
Round 861638130 to the nearest one hundred thousand.
861600000
What is 1667468.39 rounded to the nearest 1000?
1667000
What is 0.0153423947 rounded to five dps?
0.01534
Round -5409649.03 to the nearest one million.
-5000000
Round -436461.07 to... | {
"pile_set_name": "DM Mathematics"
} |
t from toppyyyooyyyo. Give prob of sequence oy.
2/13
Two letters picked without replacement from zvvzv. Give prob of sequence zz.
1/10
Two letters picked without replacement from {g: 4}. Give prob of sequence gg.
1
Calculate prob of sequence yz when two letters picked without replacement from {z: 1, n: 1, y: 1, e: 1, f... | {
"pile_set_name": "DM Mathematics"
} |
-1*sqrt(30))/sqrt(5)*-1*4).
-15*sqrt(17)/4
Simplify 1 + 1 + (5*(sqrt(85) - -1*2*sqrt(85)))/(sqrt(180) - -2*sqrt(180)).
2 + 5*sqrt(17)/6
Simplify ((sqrt(1573)*-1)**2 + 5 + (((sqrt(1573) + -1)*5 - sqrt(1573)) + sqrt(1573) + sqrt(1573))**2)*-3 + 5 + -3.
-174691 + 1980*sqrt(13)
Simplify (-3 + 2*sqrt(112) + sqrt(112) + -1 -... | {
"pile_set_name": "DM Mathematics"
} |
7
What is the remainder when 87428 is divided by 87?
80
Calculate the remainder when 3533 is divided by 574.
89
What is the remainder when 33829 is divided by 23?
19
What is the remainder when 453824 is divided by 2947?
2933
What is the remainder when 3885 is divided by 1687?
511
What is the remainder when 5683 is divi... | {
"pile_set_name": "DM Mathematics"
} |
ppose 0 = 3*k + k + 8. Let x(p) be the third derivative of 0*p + 0 + 0*p**3 + 7*p**2 - 1/24*p**4. What is x(k)?
2
Suppose 4*w + 5*m = -133, -4*w = -w + 3*m + 99. Let u be w/(-2) + 2/1. Let p be (-32)/u + 2/(-9). Let z(s) = s**3 - s + 2. Calculate z(p).
-4
Suppose 2*c = 4*d - 2*c - 16, -5*d + 2*c = -11. Let a(i) be the ... | {
"pile_set_name": "DM Mathematics"
} |
5?
-17a0
What is 1331 (base 5) in base 9?
260
12121100 (base 3) to base 16
ff6
What is -40b (base 12) in base 13?
-362
What is -6361 (base 9) in base 15?
-15b7
What is 21220 (base 4) in base 15?
2b1
11210102 (base 3) to base 6
24102
Convert -122021111 (base 3) to base 2.
-11000100110011
Convert -7a28 (base 14) to base ... | {
"pile_set_name": "DM Mathematics"
} |
2/1129, -4/7
Sort 15, -3, 1 in descending order.
15, 1, -3
Put -0.24, -2/3, 4, 4/7, -6 in descending order.
4, 4/7, -0.24, -2/3, -6
Put 0.01, 0, -1/4 in descending order.
0.01, 0, -1/4
Put -402, -2, -5 in descending order.
-2, -5, -402
Put 4, 3, 32 in descending order.
32, 4, 3
Sort -1, -4, 797.
-4, -1, 797
Sort 4, 11,... | {
"pile_set_name": "DM Mathematics"
} |
r of 20 and w?
20
Suppose 2*w - 63 = 3. Calculate the greatest common divisor of w and 22.
11
Let v(f) = 20*f**3 - 2*f**2 - f. Let l be v(-1). Let z = -52 + 23. Let w = l - z. Calculate the highest common divisor of w and 40.
8
Suppose -9 = -f - 2*f. Suppose -j = f*j - 216. What is the greatest common factor of 36 and ... | {
"pile_set_name": "DM Mathematics"
} |
2 + 3*s**3 + 0*s**3 + 2*s**3 - 3*s + 3*s**3 to the form o*s**2 + a*s + w + b*s**3 and give a.
-3
Express -3 - 35*u - 7 + 37*u as o*u + v and give v.
-10
Rearrange (2*r + 0*r - 19*r)*(1 + 1 - 3) - 5*r + r + r to the form o + c*r and give c.
14
Express -8*p - 24*p**3 - 2*p + 5*p**3 + 6*p + 3*p + 6*p**2 in the form v*p**2... | {
"pile_set_name": "DM Mathematics"
} |
= 146*r for r.
45
Solve -427*l = 39954 - 56607 for l.
39
Solve -3*i = 19 + 27 - 7 for i.
-13
Solve 0 = 645*d + 5633*d + 1741*d - 144342 for d.
18
Solve 3073*f + 91601 - 18410 = 27402 - 101715 for f.
-48
Solve 0 = -495*z + 319*z + 4037 + 7227 for z.
64
Solve 6347*l - 148393 + 109845 = 361313 for l.
63
Solve -75*z + 25*z... | {
"pile_set_name": "DM Mathematics"
} |
(p) = 5*p - 4. Let q be j(6). Let u = 31 - q. Let t be (u/2)/(5/4). Solve -6*h - t*l = -4*h - 10, -l = -3*h + 3 for h.
2
Suppose -5*u = o + 7 + 6, u + 25 = 3*o. Suppose -9*b + o*b = 0. Solve -2*l + 13 - 5 = k, -5*k + 20 = b for l.
2
Let m(a) = 4*a**2 - 12*a - 12. Let k be m(-1). Solve 3*w + k + 8 = 3*d, 3*d = -5*w + 4 ... | {
"pile_set_name": "DM Mathematics"
} |
rime factors of 1729.
7, 13, 19
What are the prime factors of 1430?
2, 5, 11, 13
What are the prime factors of 1715?
5, 7
List the prime factors of 22410.
2, 3, 5, 83
List the prime factors of 1591.
37, 43
List the prime factors of 6989.
29, 241
List the prime factors of 33661.
41, 821
What are the prime factors of 210... | {
"pile_set_name": "DM Mathematics"
} |
hat is z?
-1, 0
Let z(r) be the first derivative of 0*r + 1/3*r**2 + 0*r**4 + 4/15*r**5 - 1/9*r**6 + 2 - 4/9*r**3. Factor z(k).
-2*k*(k - 1)**3*(k + 1)/3
Let y(l) be the second derivative of l**6/30 + l**5/20 - 2*l. Determine v, given that y(v) = 0.
-1, 0
Let p(r) be the first derivative of 1/9*r**6 + 2/15*r**5 - 2/9*r... | {
"pile_set_name": "DM Mathematics"
} |
to the power of 1/3, to the nearest integer?
70
What is the sixth root of 8083427 to the nearest integer?
14
What is the square root of 10208453 to the nearest integer?
3195
What is the tenth root of 132185 to the nearest integer?
3
What is 263660 to the power of 1/10, to the nearest integer?
3
What is the third root o... | {
"pile_set_name": "DM Mathematics"
} |
ked without replacement from {i: 1, q: 1, f: 4, c: 5, w: 1, b: 1}.
1/858
Four letters picked without replacement from beebeeeeeeeeebeeeb. What is prob of sequence ebee?
91/765
Four letters picked without replacement from mgagarcddamc. What is prob of sequence gada?
1/495
Calculate prob of sequence au when two letters p... | {
"pile_set_name": "DM Mathematics"
} |
ose -c = 1270 - 3747. Suppose 16*o = 3891 + c. What is the hundreds digit of o?
3
Let f(t) = t**3 - 18*t**2 + 4*t - 3. Suppose -81 = -5*g + 9. Let j be f(g). Let l = 172 - j. What is the hundreds digit of l?
1
Suppose -2*t + 2562 = 374. What is the units digit of t?
4
Suppose 2*q - 41*u + 46*u = 127903, 4*q + 3*u = 255... | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from qzqzqz. What is prob of picking 1 q and 3 z?
1/5
Calculate prob of picking 3 p when three letters picked without replacement from cxxcxxppcpc.
1/165
Two letters picked without replacement from {x: 2, b: 1, o: 5, k: 1, n: 5, m: 2}. Give prob of picking 1 n and 1 b.
1/24
Calculate prob of picking 2 ... | {
"pile_set_name": "DM Mathematics"
} |
e -6 = -m*p + 3, 0 = -4*d + p + v for d.
4
Let z be 2*2/(-4) - 0. Let a be (z - -4) + -2 - -1. Solve -16 = -4*y, -a*q + 3*y + y - 12 = 0 for q.
2
Suppose 0*m - 3*h = -m + 12, 5*h = -2*m - 9. Solve -5*g - 4*y = 36, -2*y = m*g - y + 16 for g.
-4
Let d be 57/12 + -4 + (-17)/(-4). Solve 0 = -3*k + d*j - 17, -13 = -3*j - 1 ... | {
"pile_set_name": "DM Mathematics"
} |
/(sqrt(22)/(sqrt(4)/sqrt(2))).
2 + 18*sqrt(3)
Simplify (5*sqrt(119)*4 + sqrt(119))/(-2*sqrt(7)*-3).
7*sqrt(17)/2
Simplify (3*(sqrt(102) - sqrt(102)*2*2)/(sqrt(24)/(sqrt(4)*1)))**2.
1377
Simplify 2*(3*(sqrt(171)*1)**2 + (sqrt(171) - 5*(sqrt(171) + sqrt(171)*3)) + -3).
-114*sqrt(19) + 1020
Simplify 4 + (2 + (sqrt(153)*1 ... | {
"pile_set_name": "DM Mathematics"
} |
6?
-0.1
Which is the fourth smallest value? (a) -1/4 (b) 16/3 (c) 7679 (d) -5 (e) -0.1
b
Which is the fifth biggest value? (a) 0.2 (b) -0.1274 (c) 0.1 (d) 0.7 (e) 0.078 (f) 3/4
e
Which is the second biggest value? (a) 9 (b) -3 (c) 13/110 (d) 1/2
d
What is the second biggest value in 2327/3, -0.3, 0.028, ... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*b) - 6*b + 264 - 264) as f*b**2 + l + g*b and give f.
216
Rearrange 3*x**2 + 52*x**4 + x - 11*x**3 + 5*x**4 + 1 - 47*x**4 to h*x**3 + p*x + q + s*x**4 + d*x**2 and give d.
3
Rearrange 1646548*v + 6*v**2 + 366*v**3 + 2*v**2 - 1646550*v to w*v**3 + a + z*v**2 + q*v and give w.
366
Express (257*m**2 + 5616 - 5616)*(0*... | {
"pile_set_name": "DM Mathematics"
} |
d?
-311
In base 12, what is -671 - 1?
-672
In base 2, what is 11 + 11010001?
11010100
In base 12, what is -7 - -b?
4
In base 3, what is 1022 + -1?
1021
In base 2, what is 10 + -101001101?
-101001011
In base 5, what is -3434 - -3?
-3431
In base 7, what is -31 - -35?
4
In base 10, what is 2 + 79?
81
In base 14, what is a... | {
"pile_set_name": "DM Mathematics"
} |
8 of a microgram in nanograms?
875
What is nine tenths of a kilometer in centimeters?
90000
What is seven halves of a meter in millimeters?
3500
How many kilograms are there in 7.958026g?
0.007958026
What is 6.12849 seconds in nanoseconds?
6128490000
What is 21/5 of a century in decades?
42
Convert 368.45109 days to we... | {
"pile_set_name": "DM Mathematics"
} |
/g*g**6*g*(g**0)**(-43))**15 assuming g is positive.
g**(495/8)
Simplify b**8/b*b/(b/(b*b**(2/13)/b))*(b**(1/5))**(-4/23) assuming b is positive.
b**(10643/1495)
Simplify ((d*d/d**4)/d*d/d**(-1/15))/(d**4)**31 assuming d is positive.
d**(-1889/15)
Simplify (((z/(z/z**(-2/3)*z))/((z**(2/21)/z*z)/z))**(8/9))**40 assuming... | {
"pile_set_name": "DM Mathematics"
} |
k**2 + 3*k + 9. Let m(g) = -3*c(g) - 5*u(g). Let d be m(-2). Solve -d*n - 4*t + 1 = n, 0 = 2*n - t - 8 for n.
3
Suppose 3*k = -8 - 1. Let d be (-24)/(-3)*(2 + k). Let m = d + 15. Solve 0 = o + 5*i + 2, m*o - 2*o + 2*i - 13 = 0 for o.
3
Suppose -3*z + 18 = 2*w, -w - 2*z + 14 = w. Solve -2*u - w*u - 3*m - 28 = 0, -16 = 3... | {
"pile_set_name": "DM Mathematics"
} |
hird biggest value? (a) -3/8 (b) m (c) 4
b
Let u = -0.007 + 0.407. Let m = 0.3 - 0.5. Which is the third smallest value? (a) m (b) u (c) -0.4
b
Suppose -2*z + 0 + 5 = -r, 3*r - 1 = -2*z. Let q = -2 + z. Let u be (-2)/4*(q + 2). Which is the second biggest value? (a) 5 (b) -3 (c) u
c
Let j = 55.1 + -55. Let l(w... | {
"pile_set_name": "DM Mathematics"
} |
) = -z**3 - z**2 + 1. What is k*o(l) - 6*b(l)?
l**3 + l
Let x(o) = -5*o - 16. Let y be 1 + -3 + 5 + -1. Let s(b) = -b. Let c(p) = -p + 1. Let n(a) = -3*c(a) + 4*s(a). Calculate y*x(d) - 11*n(d).
d + 1
Let c = -3 - -1. Let a(m) = m**2 - 1. Let f(p) = -p**3 - 11*p**2 + 11. Let q(z) = c*f(z) - 22*a(z). Let d(o) = -o**3. W... | {
"pile_set_name": "DM Mathematics"
} |
sitive.
m**(-59596/2793)
Simplify (((t**36/(t*t**(-34)*t))**46)**(1/22))**(-18/11) assuming t is positive.
t**(-28152/121)
Simplify ((((x/(x*x/x**(-2/3)*x*x))**46)**(-2/15))**37)**(-13) assuming x is positive.
x**(-486772/45)
Simplify (((r**(-1/4)/(r**(-4/3)/r))**(-43))**8)**(-4/17) assuming r is positive.
r**(8600/51)... | {
"pile_set_name": "DM Mathematics"
} |
Let y be 6 - 0/(1 - 0). Suppose 0 = 3*s - 1 + 4. Let b = 0.24 + -0.54. Put b, s, y in descending order.
y, b, s
Let h(v) = v**3 + 11*v**2 - 12*v - 2. Let r be h(-12). Put r, -5, -1 in ascending order.
-5, r, -1
Let n be 56/(-9) + -3 + (-145)/(-45). Put -5, n, 1 in descending order.
1, -5, n
Let h(n) be the second deriv... | {
"pile_set_name": "DM Mathematics"
} |
5963
What is the z'th term of -5301, -10652, -16003?
-5351*z + 50
What is the g'th term of 111, 74, 15, -78, -217, -414, -681, -1030?
-2*g**3 + g**2 - 26*g + 138
What is the t'th term of 17986, 35970, 53952, 71932, 89910, 107886?
-t**2 + 17987*t
What is the r'th term of -886, -3511, -7894, -14041, -21958, -31651, -4312... | {
"pile_set_name": "DM Mathematics"
} |
**4 + 6*q = 0. What is q?
-1, -2/3, -2/5
Let c(x) be the first derivative of 5*x**4/4 - 5*x**3 + 5*x**2 - 1. Find j, given that c(j) = 0.
0, 1, 2
Let t(n) be the third derivative of 0*n**4 - 1/420*n**7 - 1/60*n**6 + 0 + 0*n**3 + 8*n**2 - 1/90*n**5 + 0*n + 5/2016*n**8. Suppose t(w) = 0. What is w?
-1, -2/5, 0, 2
Let g(q... | {
"pile_set_name": "DM Mathematics"
} |
et l = 5649 - 5662.09. Is l at most as big as -2?
True
Let k = 22.071 + -22. Let z = 488.571 + -488. Let t = z - k. Which is smaller: t or -2?
-2
Let q be (-10)/(-120) - (6/(-8))/(-3). Let l be -2*(0 + -5) + (-459)/51. Are l and q nonequal?
True
Suppose -13*l = -2*y - 8*l - 1, -3*l = -3. Suppose 2*u + 4*p - 20 = y, 3*p... | {
"pile_set_name": "DM Mathematics"
} |
at is next in -580, -268, 280, 1088, 2180, 3580?
5312
What is the next term in -47997, -96350, -145109, -194274?
-243845
What is the next term in 6035, 12032, 17987, 23894, 29747?
35540
What comes next: 3777, 3709, 3521, 3153, 2545?
1637
What is next in 1151, 4432, 9865, 17456, 27211, 39136, 53237?
69520
What comes nex... | {
"pile_set_name": "DM Mathematics"
} |
n = 59 + -25. What is the highest common factor of n and b?
34
Let r(c) = -c + 76. Let a be r(-12). What is the highest common divisor of 572 and a?
44
Let r(v) = 5*v**2 + 66*v - 16. Let m be r(-14). Calculate the greatest common divisor of m and 70.
10
Let y = 29 + -29. Suppose y = 5*v - 31 + 6. Suppose 50 = v*u + 5*... | {
"pile_set_name": "DM Mathematics"
} |
-2*l - q + 21. Calculate the remainder when 22 is divided by l.
6
Suppose 4*t + m - 62 = 0, 4*t = -0*t - 2*m + 64. Calculate the remainder when t is divided by 8.
7
Let x = -9 + 12. What is the remainder when x is divided by 3?
0
Let l = -17 + 24. Let w = 1 + l. What is the remainder when 23 is divided by w?
7
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
the greatest common factor of z and 32?
8
Let u = -10 + 25. Let j be (u/(-10) + -1)*-2. Suppose -a = -3*r - 5*a + 14, -5*r + j*a = -70. What is the greatest common divisor of r and 10?
10
Suppose 3*t - 5*t + 240 = 0. Let h(m) = -2*m**2 + 7*m + 651. Let r be h(-15). What is the greatest common factor of r and t?
24
Sup... | {
"pile_set_name": "DM Mathematics"
} |
t is s(-2)?
-2
Let l(v) = v**2 - 32*v + 6. Let q = 17243 - 17211. What is l(q)?
6
Let l = -91 - -94. Suppose -l*n = -n - 3*j + 19, 3*j = -n - 5. Let d be (-1)/n + ((-235)/8)/(-5). Let o(y) = -y + 1. Determine o(d).
-5
Let n(l) be the first derivative of 43 - l**3 - l + 1/2*l**2. Let s = 2 - 1. Calculate n(s).
-3
Suppos... | {
"pile_set_name": "DM Mathematics"
} |
338.
369520.428
Product of 17779.1 and 12.
213349.2
Work out -0.48528 * -2313.
1122.45264
-154.14579 * 5
-770.72895
Product of -18855 and 2279.
-42970545
-0.3348473 times 0.4
-0.13393892
Calculate 0.0631603*0.02.
0.001263206
1154*-2361
-2724594
Multiply -4 and 32.348769.
-129.395076
9889 times 60.4
597295.6
What is the... | {
"pile_set_name": "DM Mathematics"
} |
u*h(w)?
-2*w**3 - 2
Suppose 29*f - 94*f - 715 = 0. Let r(g) = g**2 - 15*g - 11. Let u(t) = t**2 - 8*t - 6. What is f*u(v) + 6*r(v)?
-5*v**2 - 2*v
Let f(n) be the second derivative of -9*n - 1/2*n**2 + 0. Suppose 5*g = 5*q - 10, -4*g - 4*q + 5*q = -4. Let l(i) = -i**2 - 2*i + 2. What is g*f(a) + l(a)?
-a**2 - 2*a
Let b(... | {
"pile_set_name": "DM Mathematics"
} |
6827490
What is 69.44394 litres in millilitres?
69443.94
Convert 1944738.9 months to years.
162061.575
How many milligrams are there in 13/5 of a gram?
2600
How many months are there in six fifths of a century?
1440
What is nineteen quarters of a milligram in micrograms?
4750
What is 810359.4 litres in millilitres?
81... | {
"pile_set_name": "DM Mathematics"
} |
he form j + q*x and give q.
40
Express -2*g**2 + 7 - 1 + 5435*g - 5476*g + 4*g**3 in the form m + k*g + r*g**2 + b*g**3 and give r.
-2
Express 19*s - 13*s + 3 - 9*s + (-3 - 3 + 7)*(-2 - 2*s + 2 + (3 + 0 - 1)*(-2*s + 0*s + s)) - 57*s + 590 - 590 as w*s + o and give o.
3
Express 6899577*y - 3*y**2 - 2*y**3 + 2 - 6898829*... | {
"pile_set_name": "DM Mathematics"
} |
-64.999962 - -65. What is c rounded to six decimal places?
0.000038
Let j(o) = -5*o - 3 + 20*o**3 - 2*o**2 + 3*o**3 + 3*o**2. Let u be j(-3). Round u to the nearest one thousand.
-1000
Let y = 406 - 530.3. Let m = 132 + y. What is m rounded to 0 decimal places?
8
Let g = -2.1982 - -2.23. What is g rounded to two dps?
... | {
"pile_set_name": "DM Mathematics"
} |
acement from {h: 2, p: 6, v: 3, t: 3, i: 2, c: 2}. Give prob of picking 1 h and 2 t.
1/136
Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 3, p: 3}.
3/5
Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {w: 4, q: 2, s: 3, g: 2, x: 1}.
2/33
... | {
"pile_set_name": "DM Mathematics"
} |
factor of 72 and g?
18
Suppose a - 1 - 2 = 0. Suppose -38 = u - a*u. What is the highest common divisor of 19 and u?
19
Let d = -1 - -1. Suppose 3*v - 5 - 4 = d. Suppose -3*i - 3*r + 3 = 0, 0*i - 4*r = 3*i - 3. Calculate the highest common factor of i and v.
1
Let z be (11 - 5)*4/3. Let b = 11 - 7. What is the greatest... | {
"pile_set_name": "DM Mathematics"
} |
-27)*195/702?
90
Let j = 507 - 502. Suppose i - 3*k - 1 = -2, -4*k = -i - 2. Calculate the least common multiple of i and j.
10
Suppose -2*v - 20 = -2*x, -8*v + 3*v = 2*x + 1. Let p = 22 + -14. What is the smallest common multiple of (x - (-8)/(-2)) + 10 and p?
104
Suppose 0*k - 22 = k + 5*n, 0 = 5*k + 5*n + 190. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
1. Let p(q) = q**2 - 6*q + 3. Let m be p(6). Determine m*z(f) + t(f).
-f**3 + 2*f**2
Let s(c) = 5*c**2 - 6*c - 5. Let y(h) = -11*h**2 + 13*h + 11. Suppose -5*p - 44 = f, 0 = -4*p + 2*p + f - 19. What is p*s(l) - 4*y(l)?
-l**2 + 2*l + 1
Let j(a) = -4*a**2 + 3*a - 1. Let h(y) = -7*y**2 + 5*y - 2. Let g be (-2)/(-11) + (... | {
"pile_set_name": "DM Mathematics"
} |
) - sqrt(16)))/(-2*(sqrt(72) - sqrt(8))*1).
9*sqrt(2)/16
Simplify -1 + sqrt(180) + sqrt(180) + -4 + (3 + sqrt(180))**2 + -4.
48*sqrt(5) + 180
Simplify (sqrt(72) - 2*sqrt(72)*3 - sqrt(72))/(sqrt(81)/(sqrt(45)/sqrt(5))).
-12*sqrt(2)
Simplify ((sqrt(320) - ((3*(sqrt(320) - (3 + sqrt(320))) - sqrt(320)) + sqrt(320)))**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
5)))**2.
18605
Simplify (sqrt(300) + -4)*2 - ((2*(-1 + sqrt(3)))**2 + 3).
-27 + 28*sqrt(3)
Simplify (sqrt(2904) + 2*sqrt(2904) - 6*(sqrt(24) - (sqrt(24) + sqrt(48)/sqrt(2) - sqrt(24))))/(2*sqrt(128) - (sqrt(32)/sqrt(4) + sqrt(8))*2).
33*sqrt(3)/4
Simplify 1*(4*(3*sqrt(2754))/sqrt(2))**2.
198288
Simplify (-1 + (sqrt(52)... | {
"pile_set_name": "DM Mathematics"
} |
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