text stringlengths 270 8.19k | meta dict |
|---|---|
- 39/4*n**4 - 9/4*n**5 = 0. What is n?
-2, -4/3, 0, 1
Let b(j) be the second derivative of 0 - 5*j - 2*j**2 - 1/480*j**6 - 1/60*j**5 + 0*j**3 - 1/24*j**4. Let f(n) be the first derivative of b(n). Factor f(t).
-t*(t + 2)**2/4
Let h(n) be the second derivative of 0*n**2 - 27*n - 1/21*n**3 + 0 + 2/105*n**6 + 0*n**4 + 3/7... | {
"pile_set_name": "DM Mathematics"
} |
-182
Let s(z) = z**2 + 267*z + 17180. Calculate s(-108).
8
Let t(s) = -141*s + 324. Determine t(22).
-2778
Let y(u) = -6890*u - 20665. Determine y(-3).
5
Let k(d) = -62958*d - 2455360. What is k(-39)?
2
Let d(r) = 133521*r + 267045. Determine d(-2).
3
Let f(d) = 1132*d - 71070. Determine f(63).
246
Let k(a) = 7157*a + ... | {
"pile_set_name": "DM Mathematics"
} |
q - 14*q + 4*q**2.
-6*q**2
Expand (-5111 - 2043 - 2984)*(2*d**3 - 4*d**3 + 3*d**3).
-10138*d**3
Expand (10*n**2 - 21*n**2 - n**2)*(7*n - 7*n - 6*n + (n + n - 3*n)*(1 + 0 - 2))*(0 - 4 + 0).
-240*n**3
Expand (0 + 1 - 4)*(-4*d + 16*d + d)*(18 - 21 - 44).
1833*d
Expand 3*y + 2*y**2 - 3*y + (18*y + 14 + 7 - 30)*(y + 0*y + y... | {
"pile_set_name": "DM Mathematics"
} |
(b) 5 (c) -1/2 (d) 6/59
d
Which is the biggest value? (a) 0.039604 (b) -2/5 (c) 1
c
What is the biggest value in -1, -0.3, 38/9?
38/9
What is the second biggest value in 5, 9, 1868, 1?
9
What is the third smallest value in -8, 6/7, -128, 0?
0
What is the fifth smallest value in 23, -1/9, -4, -159/5, -0.3?
23
What ... | {
"pile_set_name": "DM Mathematics"
} |
th term of -64, -410, -746, -1066, -1364?
r**3 - r**2 - 350*r + 286
What is the q'th term of 80, 860, 2974, 7088, 13868?
111*q**3 + q**2 - 32
What is the g'th term of -115, -280, -477, -718, -1015, -1380, -1825?
-2*g**3 - 4*g**2 - 139*g + 30
What is the l'th term of 47825, 47841, 47857, 47873?
16*l + 47809
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
1215) + sqrt(1215)*2 + sqrt(135)/(-3*sqrt(9)))/(2*sqrt(30)/sqrt(6) + sqrt(5) - 4*sqrt(20)).
-16*sqrt(3)/3 - 2
Simplify ((sqrt(1573) + 1*sqrt(1573) + -3 - (0 + sqrt(1573)*-2))**2 - (5 + (sqrt(1573) - (sqrt(1573) - (sqrt(1573) + 1 + 1)))**2))*6 + 3.
-1848*sqrt(13) + 141573
Simplify -3 + -3*sqrt(80)*2 + ((-1*sqrt(180))/sq... | {
"pile_set_name": "DM Mathematics"
} |
qrt(128)*1 + 4*(sqrt(128) + -1 + sqrt(128)))**2 + -2*2*(0 + sqrt(288))**2.
-1008*sqrt(2) + 9265
Simplify (-2 + sqrt(110)/(-5*sqrt(490)) + 4*sqrt(44)/sqrt(4) + -3)**2.
-278*sqrt(11)/7 + 243156/1225
Simplify (4*(sqrt(121) + sqrt(121) + sqrt(121)*-2 + sqrt(121))*-2)/((sqrt(1100) + 2*sqrt(1100) + sqrt(1100) - sqrt(1100))*2... | {
"pile_set_name": "DM Mathematics"
} |
11*f - 5 + 6. Calculate y(n).
-6
Let n = -24 + 34. Suppose -2*k + n = -2. Let b(f) = -3*f - 1. Let i(h) = -10*h - 10. Let x(z) = 4*b(z) - i(z). Determine x(k).
-6
Let i(c) = -5*c - 1. Suppose 410*b - 164*b = 246. What is i(b)?
-6
Let s(x) = x - 7. Let z = 225 + -223. Let c(a) = -5*a + 22. Let p(q) = z*c(q) + 7*s(q). Wh... | {
"pile_set_name": "DM Mathematics"
} |
e -2*n = 4*k - 3*n - 16, n + 7 = k. Suppose -k*o + 15 = -2*o. Let i be o/(-10) - (-9)/2. Solve 6 = i*t - r + 2*r, -12 = -t + 3*r for t.
3
Suppose -3*v + 5 + 7 = 0. Let d be v/(-14) - (-2)/7. Suppose d = 2*k - 2*w - 12, 4*k + k = -3*w + 6. Solve -y - 6 + k = o, 5*y + 3*o = -9 for y.
0
Let a = 18 + -12. Solve 0 = 3*b + a... | {
"pile_set_name": "DM Mathematics"
} |
0 + -86. What is the third derivative of 100*t**2 - 18*t**3 + 166*t**4 - 86*t**4 - 79*t**n wrt t?
24*t - 108
Let y = -6 - -25. Suppose -4*u + z = -y, -5*z - 19 = -2*u + u. Find the second derivative of 17*a**2 - u*a + 23*a - 2*a**2 wrt a.
30
Let w = -15017 - -15020. Let d(h) be the second derivative of 0*h**5 + 6*h**2 ... | {
"pile_set_name": "DM Mathematics"
} |
ater: -39 or 2403?
2403
Which is bigger: 5579/2031 or 3?
3
Which is smaller: -1132/221 or -6?
-6
Are -5087 and 2 non-equal?
True
Is -13 bigger than -2950/247?
False
Is -370961 <= -370962?
False
Which is bigger: 4154 or 4147?
4154
Which is smaller: 6416 or 6408?
6408
Is 18 greater than or equal to -8955?
True
Is -82 at ... | {
"pile_set_name": "DM Mathematics"
} |
8)*-3))**2.
5/36
Simplify (-2 + (sqrt(160)*2)/sqrt(8))*6.
-12 + 24*sqrt(5)
Simplify (1 + sqrt(320) + (-1 + sqrt(320))*6 - (-1 + -4 + -1*sqrt(80)))**2.
18000
Simplify ((-4*sqrt(84) + sqrt(84))*2)/(sqrt(60)/sqrt(320)).
-48*sqrt(7)
Simplify (((sqrt(33) - -1*sqrt(3993)) + (sqrt(198) + (sqrt(198)*-1 + sqrt(198) - sqrt(198))... | {
"pile_set_name": "DM Mathematics"
} |
+ o + (-3*o + 4*o + 0*o)*(0 - 5 + 3) - 1 - 2*o + 1)*(0 - 4 + 3) in the form c + t*o and give t.
3
Express 92*p**3 + 5*p**2 - 4*p**4 - 92*p**3 + (4*p - 4*p + p**2)*(-2*p**2 - 4*p + 4*p) as m*p**4 + h*p + f*p**3 + a + t*p**2 and give t.
5
Rearrange 0*p**2 - 4*p**4 + 3*p**4 + 3 - p**2 to k*p**4 + m*p**2 + v*p + j + d*p**... | {
"pile_set_name": "DM Mathematics"
} |
2/7 (c) 90 (d) 23 (e) -0.3
d
What is the fifth biggest value in 0.1, -2, 3/2, 1/46, 4?
-2
Which is the second biggest value? (a) 0 (b) 3 (c) -0.4523 (d) -1 (e) 3/4
e
Which is the sixth biggest value? (a) -0.2 (b) 2/11 (c) -37 (d) -0.24 (e) 0.3 (f) 3
c
What is the second smallest value in -2, 0.3, -0.5, -... | {
"pile_set_name": "DM Mathematics"
} |
of 3*l + v*l + 13*l**2 - 3*l + 0*l wrt l?
26
Let r be (-9)/(-2) + 1/2. Let b(p) = -2*p**2 - 36*p - 3. Let t be b(-4). Find the second derivative of 110*w - 211*w + t*w + 5*w**r wrt w.
100*w**3
Differentiate -81 + 512 + 1110*l**3 + 750 + 56*l**3 with respect to l.
3498*l**2
Let t(z) be the third derivative of -669*z**4... | {
"pile_set_name": "DM Mathematics"
} |
*(-4)/(-6). Let t be (-185)/40 + (2/(-1) - -7). Which is the third biggest value? (a) 3 (b) t (c) f
c
Let h be (-4)/22 + (-988)/3762. Which is the third biggest value? (a) 3 (b) h (c) 4
b
Let i = 3.7 + -0.7. Let m be 2 - ((-22)/10)/(-1). What is the second biggest value in i, -1, m?
m
Let z = -44.83 - -45. Which ... | {
"pile_set_name": "DM Mathematics"
} |
qrt(13) - (1 + sqrt(13))**2) - sqrt(13)).
-15 - 3*sqrt(13)/2
Simplify (sqrt(2)*-1*-3)**2 + (sqrt(98) + 4 - sqrt(2)).
6*sqrt(2) + 22
Simplify ((sqrt(357)*4)/sqrt(7))/sqrt(3).
4*sqrt(17)
Simplify (-1*(sqrt(304) - (sqrt(304) + 1)) - sqrt(304))**2*-5.
-1525 + 40*sqrt(19)
Simplify (sqrt(2448) + 0)*-6.
-72*sqrt(17)
Simplify ... | {
"pile_set_name": "DM Mathematics"
} |
- 77*t for w.
-3
Solve -2*l + 3*a = -13341 + 13315, 24 = 3*l - 3*a for l.
-2
Solve 3*o = -2*s - 3*s - 28, 11 = -9*s + 5*s - 21 for o.
4
Solve -5*c = 3*a - 4*a - 79, -2*a - 3418998 + 3418830 = -8*c for a.
-104
Solve -5*p + 256845 = 2*f + 257099, 7*f = -14 for p.
-50
Solve -4*d + 235 - 39 = 4*x, -d - 3*x + x + 82 = -3*d... | {
"pile_set_name": "DM Mathematics"
} |
sest to q in 0.3, c, -0.1?
0.3
Let s = 23/20 + -3/4. What is the nearest to 1 in -0.2, s, 2?
s
Let m = -114 - -457/4. Which is the closest to m? (a) 6 (b) -0.1 (c) -4
b
Let p = 0 + 3. Let r = 0.1 + -0.2. Which is the nearest to r? (a) p (b) 2 (c) -2
c
Let d = 0.35 + -0.15. Let l be 3/7*2/9. What is the nearest to... | {
"pile_set_name": "DM Mathematics"
} |
ive.
y**(237/35)
Simplify ((v*v**(2/13)/v)/((v*v**(7/3))/v)*(v/v**3)/(v**4/v))**(-2/3) assuming v is positive.
v**(560/117)
Simplify ((u**(1/4)*u)**(7/8)*u**(1/3)*u/((u*u/(u/((u**(2/5)*u)/u*u)))/u)*u)**7 assuming u is positive.
u**(6811/480)
Simplify (o/(o/(o**(2/13)*o)*o))/o**(-4/5)*o**(-5)/o*o/(o*o/(o/o**3)) assuming... | {
"pile_set_name": "DM Mathematics"
} |
19626.
-19626.288146754
-70972759893 - -28.3
-70972759864.7
What is -4.78 less than -1090446280?
-1090446275.22
What is 6022.06999 minus 5.895?
6016.17499
Add -5311735.4 and 100781.
-5210954.4
-52547536 + 307
-52547229
Put together -96365242003 and -2663.
-96365244666
What is 970872 + 0.190344?
970872.190344
What is 1.... | {
"pile_set_name": "DM Mathematics"
} |
ided by 144.
40
Suppose 2*b = 19*b - 344 - 13. Calculate the remainder when 722 is divided by b.
8
Let a = -944 - -1039. Let i(u) = 16*u. Let n be i(1). What is the remainder when a is divided by (21/(-2))/((-12)/n)?
11
Suppose 136 = -3*m + 4*w + 369, -3*m = 6*w - 183. What is the remainder when 3902 is divided by m?
6... | {
"pile_set_name": "DM Mathematics"
} |
+ c*o + g*o**2 + l*o**4 and give l.
-2
Express (-3*p**2 + 6*p**2 - 2*p**2)*(-4 + 0 + 10)*(0 - 2 + 3)*(-2 + 4 - 3) in the form i*p + h + b*p**2 and give b.
-6
Rearrange -5 + 0 + 5*d**2 + 7*d**3 - 2*d - d**4 + 5 to the form r*d**3 + w*d**2 + q*d + i + f*d**4 and give q.
-2
Express (-2*y + 2 - 2)*(1 - 5 + 3) - 3*y + 2*y ... | {
"pile_set_name": "DM Mathematics"
} |
8*r - 44 = -2*d, -2*d = -7*d + 3*r + 14 for d.
4
Solve 447 = -4*b - 17*m, 1060*m - 141 = -2*b + 1065*m for b.
3
Solve 0 = 3*t - 5571*v + 5575*v - 12, -6 = -5*t - 2*v for t.
0
Solve -64*m + 3*p = -68*m + 35, 0 = 5*m + 3*p - 46 for m.
11
Solve 0 = -138*p + 135*p + 3*s - 18, -3*p - s = 18 for p.
-6
Solve -3*n + 17*u = 93,... | {
"pile_set_name": "DM Mathematics"
} |
is divided by 60?
48
Calculate the remainder when 3942866 is divided by 74.
72
What is the remainder when 48164 is divided by 38?
18
Calculate the remainder when 38265 is divided by 12752.
9
What is the remainder when 14626 is divided by 696?
10
Calculate the remainder when 14728 is divided by 245.
28
Calculate the rem... | {
"pile_set_name": "DM Mathematics"
} |
minator of 2 - (-140)/n - 2 and i.
112
Let q = -67 + 214/3. Calculate the common denominator of -37/18 and q.
18
Let k = 38 - 20. Calculate the least common multiple of ((-8)/5)/(((-20)/(-125))/(-2)) and k.
180
Let u(j) = j**2 + 2*j - 4. Let v be u(-4). Suppose 0 = -0*s - v*s + 8. What is the least common multiple of s... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*j**2 - 1/6*j**6 - 1/4*j**5. Find m, given that f(m) = 0.
-1, 0, 1
Find x, given that 23*x**2 + 3*x**5 - 15*x**4 - 6*x**3 + 27*x**2 + 2*x**5 - 14*x**3 + 10*x**2 = 0.
-2, 0, 2, 3
Let z(h) be the first derivative of 2*h**3/27 + h**2 + 73. Factor z(o).
2*o*(o + 9)/9
Solve -107*f**2 + 34*f**2 + 33*f**2 + 36*f**2 + 56*f... | {
"pile_set_name": "DM Mathematics"
} |
h be o(-2). Suppose 35*t = 40*t. Suppose t*j = j - h. Calculate the lowest common multiple of j and 4.
36
Suppose -35*o + 38*o = 162. What is the smallest common multiple of o and 33?
594
Let z(p) = p + 3. Calculate the smallest common multiple of z(13) and 116.
464
Let b(r) = r**3 + 5*r**2 - 7*r - 2. Let d be b(-6). S... | {
"pile_set_name": "DM Mathematics"
} |
636, -249028, -311420?
-62392*y + 540
What is the s'th term of -9766676, -9766673, -9766668, -9766661, -9766652, -9766641?
s**2 - 9766677
What is the v'th term of -21106, -42063, -62986, -83869, -104706, -125491?
v**3 + 11*v**2 - 20997*v - 121
What is the d'th term of -297952372, -297952369, -297952366, -297952363?
3*d... | {
"pile_set_name": "DM Mathematics"
} |
inutes before 2:31 PM?
12:59 PM
How many minutes are there between 10:08 PM and 5:16 AM?
428
What is 50 minutes before 1:39 PM?
12:49 PM
How many minutes are there between 3:04 AM and 5:01 AM?
117
How many minutes are there between 6:00 AM and 1:26 PM?
446
What is 153 minutes before 4:24 PM?
1:51 PM
What is 50 minutes ... | {
"pile_set_name": "DM Mathematics"
} |
- sqrt(363))) - (sqrt(285)/sqrt(5)*-1 - sqrt(57))/(1*sqrt(300)))*-6.
48*sqrt(19)/35
Simplify (sqrt(114)/(sqrt(4)/sqrt(32)))/((sqrt(525) + sqrt(525) + -1*sqrt(525) + sqrt(525))/sqrt(7)) + -4.
-4 + 2*sqrt(19)/5
Simplify (-6*-6*(2 + 5 + -4*-1*sqrt(11) + (sqrt(33) - (sqrt(66) - (-1*sqrt(66) - sqrt(66)))/sqrt(2))/sqrt(108))... | {
"pile_set_name": "DM Mathematics"
} |
ram?
16
What is 70759.92 months in years?
5896.66
What is 0.5213746ml in litres?
0.0005213746
Convert 7.230132 centuries to millennia.
0.7230132
How many months are there in 27/5 of a millennium?
64800
What is 1/30 of a day in minutes?
48
How many nanograms are there in three tenths of a microgram?
300
What is 19/4 of ... | {
"pile_set_name": "DM Mathematics"
} |
5). Calculate the least common multiple of (-66)/g*(-1 + 0) and y.
44
Let u = -28205/3816 + 1/424. What is the common denominator of u and 93/20?
180
Calculate the common denominator of 57/(-38) - (-390)/112 and 9/7.
56
Let p(a) = 11*a - 2. Calculate the smallest common multiple of p(2) and 6.
60
Let w = 51 - 48. What ... | {
"pile_set_name": "DM Mathematics"
} |
Collect the terms in -m + 5304 + 5445 + 12440 - 15260.
-m + 7929
Collect the terms in 23*c**3 + 2*c + 354*c**2 - 4*c + 192*c**2 - 4*c**3 + 26*c**3.
45*c**3 + 546*c**2 - 2*c
Collect the terms in 10*c - 327 + 190 - 3*c**3 - 44*c**2 + 137.
-3*c**3 - 44*c**2 + 10*c
Collect the terms in 2075*a + 0 + 527*a - 11.
2602*a - 11... | {
"pile_set_name": "DM Mathematics"
} |
derivative of b(o) wrt o?
1020*o**2 - 48*o
Let q(h) = 103*h**2 - 3*h - 25. Let w(a) = -a**2 + a. Suppose -36 = -4*c - 8*c. Let k(x) = c*w(x) + q(x). Find the first derivative of k(l) wrt l.
200*l
Let u(o) = o**3 + 4*o**2 - 23*o - 12. Let m be u(-7). Find the third derivative of -37*i + 15*i + 22*i - 84*i**5 - 170*i**m ... | {
"pile_set_name": "DM Mathematics"
} |
Is 23 a factor of m?
True
Is 8 a factor of (48/5)/((-2)/(300/(-9)))?
True
Suppose -5*k = 28 - 8. Let h be k + (-4)/(-2)*2. Let c(p) = p**2 - 2*p + 2. Is c(h) even?
True
Suppose -45*v + 6510 = -38*v. Does 45 divide v?
False
Let v be (20/(-12))/(3/(-72)). Suppose v = -n + 3*n. Is n a multiple of 10?
True
Suppose -2510 =... | {
"pile_set_name": "DM Mathematics"
} |
s?
50
How many milliseconds are there in 3/5 of a second?
600
What is 3/32 of a kilometer in millimeters?
93750
How many hours are there in 10/3 of a week?
560
What is 3.688886m in kilometers?
0.003688886
What is 649055.4 months in millennia?
54.08795
How many kilograms are there in twenty-three eighths of a tonne?
287... | {
"pile_set_name": "DM Mathematics"
} |
-495 = 15*j - 26*j - 88*j for j.
5
Solve 0 = 2609*h - 2629*h - 60 for h.
-3
Solve 12*f - 256 + 685 = -21*f for f.
-13
Solve 3612*w = 3333*w + 3348 for w.
12
Solve -394 = 104*h - 87*h - 37 for h.
-21
Solve 279*b + 269*b = 497*b + 408 for b.
8
Solve -2 = j + 1 - 7 for j.
4
Solve 1981 = -599*i - 4009 for i.
-10
Solve 114... | {
"pile_set_name": "DM Mathematics"
} |
7/3 = 0. Calculate c.
-7, -1/7
Factor -2*j**3 - 96*j**2 + 1110*j - 2900.
-2*(j - 5)**2*(j + 58)
Suppose -2*i**4 + 1000*i**3 - 125000*i**2 = 0. Calculate i.
0, 250
Suppose -i**4/3 - 14*i**3/3 - 32*i**2/3 + 14*i/3 + 11 = 0. Calculate i.
-11, -3, -1, 1
Factor n**4/2 - 3*n**3/2 - 5*n**2/2 + 3*n/2 + 2.
(n - 4)*(n - 1)*(n +... | {
"pile_set_name": "DM Mathematics"
} |
-1*(3 + 0 + -3). Suppose -3*p - 4*u + 42 = m, 0 = 5*p + u - 37 - 33. Let c = 8 - p. Which is bigger: -5 or c?
-5
Let s = -7 + 13. Suppose 3*l - s = -0*l. Let r be (2 + l - 3)*3. Is r bigger than 3?
False
Let g be -1*6/(-2)*-1. Let z be g/2 + 1254/(-240). Let j = -57/8 - z. Which is smaller: j or -1?
-1
Let w be (-298)/... | {
"pile_set_name": "DM Mathematics"
} |
/25)*u)/((u*u**(-2/21))/u) assuming u is positive.
u**(596/525)
Simplify (u/(u/((u**(-2/27)/u*u)/u))*u**(2/19))**(-13) assuming u is positive.
u**(6461/513)
Simplify ((i**2)**(15/11))**13 assuming i is positive.
i**(390/11)
Simplify (x**7)**(1/55) assuming x is positive.
x**(7/55)
Simplify (i/i**0)**11*(i*i/(i**(2/3)*i... | {
"pile_set_name": "DM Mathematics"
} |
+ 15*u + 9, 3*u - 9 + 0 = 0 for r.
0
Solve -40*n + 43*n + a + 92 = -3*a, -n - 9 = -3*a for n.
-24
Solve v + 187 = x + 172, 4*v + 2*x - 63 = 9*v for v.
-11
Solve 22609*o - 22606*o - 45 = 0, -2*k = 4*o - 51 - 5 for k.
-2
Solve -112*d + 107*d = -2*z + 6, -z + 14 = -8*d for z.
-2
Solve g + 177 = 6*c + 161, 3*c - 43 = -2*g ... | {
"pile_set_name": "DM Mathematics"
} |
derivative of -202 - 771045*f + 134*f**2 + 771045*f wrt f?
268*f
Let y(x) be the second derivative of -64*x**7/21 + 32*x**4/3 - x**3/6 + x + 98. Find the third derivative of y(p) wrt p.
-7680*p**2
Let k(f) be the first derivative of -29*f**3 + 217*f**2/2 - 263. What is the second derivative of k(p) wrt p?
-174
Let a(q... | {
"pile_set_name": "DM Mathematics"
} |
of z?
1
Suppose -a = -3*s + 6*s - 79, a - 107 = 4*s. What is the units digit of a?
1
Let r = 5 + -1. Suppose 4*s = -r + 8. What is the units digit of s?
1
Let m = 15 + 26. What is the tens digit of m?
4
What is the hundreds digit of (8 - (3 + 3))*(-254)/(-4)?
1
Suppose -11 - 9 = -2*g - 2*p, -64 = -4*g + 2*p. What is th... | {
"pile_set_name": "DM Mathematics"
} |
*n*t - 4*d*t + 2*g*n
What is the third derivative of 11*c**6 + 117*c**4*f - 416*c**2*f - 2*c**2 wrt c?
1320*c**3 + 2808*c*f
Find the second derivative of -227*a**2*t**2 + 2*a*t + 114*t**2 + 1 wrt a.
-454*t**2
Differentiate -n**2*q**4 + 34*n**2*q**3 + 42*n**2 with respect to q.
-4*n**2*q**3 + 102*n**2*q**2
Differentiate... | {
"pile_set_name": "DM Mathematics"
} |
qrt(2) + sqrt(50)))**2*-6.
-7500
Simplify (-1*(-2 + sqrt(1800) - sqrt(1800)))**2.
4
Simplify (sqrt(539) + 0 - -5*sqrt(11)*2)**2.
3179
Simplify (4 + (-1*sqrt(500)*6)**2)*-5.
-90020
Simplify -1 + sqrt(1872) + -2 + sqrt(1872) + -4 + sqrt(1872) + 1*sqrt(1872).
-7 + 48*sqrt(13)
Simplify 1*((sqrt(90)/sqrt(5) - sqrt(18)) + 2)... | {
"pile_set_name": "DM Mathematics"
} |
= -34*k**2 - 66*k + 2. Let v be l(-2). Let f(i) be the first derivative of i**2/2 - 16*i - 2. Give v*f(j) + 11*n(j).
-2*j - 1
Let l(w) be the second derivative of -11*w**4/12 + 7*w**3/6 - 1167*w. Let p(j) = 10*j**2 - 6*j. Let n = 11 + -4. What is n*p(i) + 6*l(i)?
4*i**2
Let s(y) = 14*y - 2. Let v(h) = -42*h + 5. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
3 = c + 4*b. Sort c, 0, w in decreasing order.
c, 0, w
Suppose b + 3 = -x - 0*b, -3*b - 9 = -4*x. Let y = 270 + -275. Put -4, 0.5, y, x in increasing order.
y, -4, x, 0.5
Let k be (0 - -1)/(23/5911). Let a = k + -1802/7. Sort 4, -1, a.
-1, a, 4
Let v = -101.4 - -104.4. Sort -4/41, 1, v in decreasing order.
v, 1, -4/41
... | {
"pile_set_name": "DM Mathematics"
} |
9. Let n = -25 + 24.21. Let x = n + v. Round x to one dp.
0.1
Let z = -6233951 + -414770. Suppose -3*b = t - 5*t + 4046151, -2*t = 4*b + 5394890. Let u = b - z. What is u rounded to the nearest one million?
5000000
Let o = -1138.98 - -1155. Round o to the nearest integer.
16
Suppose 4*x - a = -209082, 2*x + 98621 = -a ... | {
"pile_set_name": "DM Mathematics"
} |
3 - 14*g**3.
-32*g**3
Collect the terms in -4 + 1 - 145*d**2 + 3 + 138*d**2.
-7*d**2
Collect the terms in -9*m + 19*m**2 - 4*m + 13*m.
19*m**2
Collect the terms in -5*m**2 + 0*m**2 - 3*m**2 + m**2.
-7*m**2
Collect the terms in 8*y**3 + 4*y**3 + 5*y**3 - 21*y**3.
-4*y**3
Collect the terms in -12*b + 132*b**2 + 12*b + 18... | {
"pile_set_name": "DM Mathematics"
} |
alse
Suppose 0 = 4*d - 3*q - 88355, -5*q - 110440 = -d - 4*d. Suppose -5*t + d = 4*w + 2610, 5*t + 24385 = 5*w. Is w composite?
True
Let v = -28693 - -129744. Is v a prime number?
True
Let o(k) = k + 1. Let s(j) = -24*j**2 + 8*j + 15. Let t(n) = 3*o(n) - s(n). Is t(-13) a composite number?
True
Suppose -119 = -3*f - 4*... | {
"pile_set_name": "DM Mathematics"
} |
4 for i.
-1
Solve -4*v + z + 8 = -0, 3*z = 5*v - 3 for v.
3
Solve 0 = -3*z - u + 4, -u = -5*z + 10 + 2 for z.
2
Solve 5*z = 4*v + 9, 4*z - 2 + 1 = -3*v for z.
1
Solve z + 0*l - 6 = -l, -5*z - 20 = -5*l for z.
1
Solve -v = 4*v + 10, 0 = i - 3*v - 2 for i.
-4
Solve -4*n + 2*j + 6 = 0, -6*n + n + j = -12 for n.
3
Solve 4*... | {
"pile_set_name": "DM Mathematics"
} |
common multiple of 21 and 326.
6846
What is the smallest common multiple of 36 and 84?
252
Calculate the common denominator of -25/264 and -149/1452.
2904
Calculate the lowest common multiple of 16 and 2.
16
What is the common denominator of -59/36 and 121/108?
108
Calculate the smallest common multiple of 187 and 136.... | {
"pile_set_name": "DM Mathematics"
} |
(y) = -13*y**2 + 4*y + 151. Give -3*v(a) + 5*x(a).
4*a**2 - 2*a - 83
Let d(v) = 13*v**3 + 4*v**2 - 4. Let s = 1496 + -1541. Let i(c) = 144*c**3 + 45*c**2 - 45. Determine s*d(q) + 4*i(q).
-9*q**3
Let n be ((-3179)/(-204))/17 + (-2)/(-24). Let u(j) = 3*j**2 - j. Let b(s) = -s**2. Calculate n*u(p) - 4*b(p).
7*p**2 - p
Let... | {
"pile_set_name": "DM Mathematics"
} |
4/4 + 5*f**3/3 - 4*f + 1. Let o be w(-5). Suppose 15 = -5*b - 2*s, 2*b + 3 + 2 = -s. Sort 0, o, b in decreasing order.
0, o, b
Let b = -47 + 52. Let a = -4 - -8. Sort b, 6, a.
a, b, 6
Let y = 51 - 51.2. Let x = 0.1 + -0.4. Sort y, x, 1/11 in decreasing order.
1/11, y, x
Suppose -4*s - c = 13, 4*s - 12 = 5*s + 2*c. Put ... | {
"pile_set_name": "DM Mathematics"
} |
+ 20*f**2 - 9*f - 18 = 0.
-3, -2, -1, 1, 3
Factor -w**2/7 + 3992*w/7 - 59655/7.
-(w - 3977)*(w - 15)/7
Solve 2*b**3 + 1098*b**2 + 8680*b + 12984 = 0.
-541, -6, -2
Solve 2*q**5 - 1642*q**4 - 3306*q**3 + 11482*q**2 + 32896*q + 19752 = 0.
-2, -1, 3, 823
Find n, given that 8*n**5 - 2930*n**4/3 + 73262*n**3/9 + 72122*n**2/9... | {
"pile_set_name": "DM Mathematics"
} |
What is the m'th term of -121463, -243104, -364911, -486884, -609023, -731328, -853799?
-83*m**2 - 121392*m + 12
What is the s'th term of -577, -1687, -3497, -6001, -9193, -13067?
s**3 - 356*s**2 - 49*s - 173
What is the t'th term of -214, -469, -566, -427, 26, 871, 2186?
13*t**3 + t**2 - 349*t + 121
What is the w'th t... | {
"pile_set_name": "DM Mathematics"
} |
**2. Determine l(r(g)).
-8*g**4 + 801
Let z(i) = -2*i**2. Let r(a) = 2*a**2 - 3*a. Let p(g) = -18*g**2 + 26*g. Suppose 2*l + 208 = 6*l. Let m(y) = l*r(y) + 6*p(y). Calculate z(m(d)).
-32*d**4
Let k(g) = -g. Let s(h) = 152*h**2. Determine k(s(r)).
-152*r**2
Let y(g) = g. Let q(k) = -508*k. Give y(q(w)).
-508*w
Let i be ... | {
"pile_set_name": "DM Mathematics"
} |
d t?
3
Suppose -d - 4*o + 123 = 0, 4*d - 5*d - 3*o = -126. Calculate the greatest common factor of 75 and d.
15
Suppose -32 + 299 = -z. Let c = -141 - z. Calculate the highest common factor of 14 and c.
14
Suppose 64*p + 28 = 66*p. What is the highest common factor of 70 and p?
14
Let h be 570/16 + -1 + (-11)/(-8). Cal... | {
"pile_set_name": "DM Mathematics"
} |
85*l = -5*g + 81*l + 742, -4*g + 590 = 2*l. Differentiate -16 - g*d**4 - 35 + 16 - 214 wrt d.
-584*d**3
What is the second derivative of 49947 + x**4 + x - x**4 - 90*x**5 - 45820 wrt x?
-1800*x**3
Let n(g) be the third derivative of 6*g**7/35 - 7*g**6/120 + 633*g**4/4 - g**2 - 623. What is the second derivative of n(t... | {
"pile_set_name": "DM Mathematics"
} |
34726*i - 9*i**3 in the form d*i**3 + f*i + h + u*i**2 and give d.
-9
Rearrange 65*t - t**2 - 49*t**3 + 2 - 137*t + 71*t to o*t + m*t**2 + q*t**3 + c and give c.
2
Rearrange -11076*g + 5550*g + 5549*g + 15*g**2 - 147*g**2 to u + r*g + v*g**2 and give v.
-132
Express 4*u**2 - 566 + 386 + 196 + 3*u**4 - 7*u**3 in the for... | {
"pile_set_name": "DM Mathematics"
} |
econd derivative of -n**3/3 - 2*n. Let z(i) = -1675*i + 21400. Let a(k) = -25*k + 321. Let u(x) = 200*a(x) - 3*z(x). Determine u(q(y)).
-50*y
Let c(i) = 504*i - 10. Let j(p) = -1158*p. Determine c(j(k)).
-583632*k - 10
Let s(u) = 33*u - 2. Let a(t) be the second derivative of t**4/6 - 594*t + 2. Calculate s(a(k)).
66*k... | {
"pile_set_name": "DM Mathematics"
} |
, 4*l + 5*k + 12 = w for l.
-3
Let q be (6 + -3)*(-42)/(-9). Suppose 2*c + 6 = 3*h, 2*c = -9*h + 4*h + 26. Solve -3*f - 5*b - q = -b, -20 = h*b for f.
2
Let k = -14245 - -14254. Solve 5*p = 7*u - k*u + 13, 0 = -5*p + 4*u + 19 for p.
3
Suppose -4*f = -7*f. Let k be 3/((-9)/3)*4. Let i be ((-12)/k - f)*1. Solve 8 = i*a +... | {
"pile_set_name": "DM Mathematics"
} |
16*k. What is the second derivative of d(i) wrt i?
444*i**2
Let v(f) be the first derivative of -2*f**5/5 - 11*f**4 - 12*f**2 - 65. What is the second derivative of v(i) wrt i?
-24*i**2 - 264*i
Let q(a) be the third derivative of 39*a**5/20 + 33*a**3/2 + 107*a**2. Find the first derivative of q(v) wrt v.
234*v
Let n(z)... | {
"pile_set_name": "DM Mathematics"
} |
5)*g**(-8)*g**8 assuming g is positive.
g**(-154822/2145)
Simplify x**(-1/3)*x*x**(1/8)*x*((x**(2/3)*x*x)/x)**(-2/3)*((x**(2/7))**(3/13))**(-3/2) assuming x is positive.
x**(3811/6552)
Simplify (((k**(2/21)/(k*k*k**(-9)*k*k*k*k))/((k/(k*k*k**(1/3)))/k)**(-45/7))**3)**(2/51) assuming k is positive.
k**(-500/357)
Simplif... | {
"pile_set_name": "DM Mathematics"
} |
0.5*121136.
60568
Work out -0.65 * -123.2.
80.08
What is the product of 20.7 and -3020?
-62514
0.3 times 68565.8
20569.74
Work out -9 * 21042.
-189378
Multiply 0.11 and 30.3.
3.333
Multiply 165 and 0.16.
26.4
What is -17013 times 3?
-51039
What is the product of 39109 and 69?
2698521
Multiply -0.2 and 0.754054.
-0.150... | {
"pile_set_name": "DM Mathematics"
} |
= 3*q. Is q less than v?
True
Let u = 66476/525 + 232/75. Let h = u + -130. Which is greater: h or -0.1?
-0.1
Let t(l) = -4 + 4 - 2*l. Let f be t(-3). Suppose -f*k = -k. Do 0 and k have different values?
False
Suppose 2 = r, 3*r = -u - 2*r + 9. Let f = -162371 + 9093453/56. Let s = 82/7 - f. Is s bigger than u?
True
Le... | {
"pile_set_name": "DM Mathematics"
} |
+ 67*a. What is v(z(r))?
91875*r**2 + 11725*r
Let o(x) = -186923*x**2. Let s(k) = -k. Calculate o(s(j)).
-186923*j**2
Let o(w) = 6*w**2. Let s(y) = -55*y + 330. Let v be s(6). Let j(u) be the second derivative of 0*u**2 - 8*u - 1/6*u**4 + 0*u**3 + v. Give j(o(m)).
-72*m**4
Let t(r) = r. Let a(f) = -2*f**2 + f - 1759. C... | {
"pile_set_name": "DM Mathematics"
} |
t are the prime factors of 755375?
5, 6043
List the prime factors of 58508.
2, 14627
List the prime factors of 345210.
2, 3, 5, 37, 311
What are the prime factors of 6365419?
43, 179, 827
What are the prime factors of 432624?
2, 3, 9013
List the prime factors of 3676327.
3676327
List the prime factors of 3033770.
2, 5,... | {
"pile_set_name": "DM Mathematics"
} |
of g(v) wrt v?
-48*v - 30
Let t(k) be the third derivative of -k**7/70 - 5*k**4/24 + 7*k**2. What is the second derivative of t(s) wrt s?
-36*s**2
Suppose 4*k - 3*b + 0 = 3, 0 = 5*k + b - 18. Find the second derivative of -3*u - u**k + 4*u**3 - u - u wrt u.
18*u
Let w(t) = 9*t**2 - 5*t - 7. Let h(g) = 8*g**2 - 4*g - 6.... | {
"pile_set_name": "DM Mathematics"
} |
*1/g))/g)*((g*g*g*g/(g*g/g**(-1/6))*g)/g*g)**14 assuming g is positive.
g**(95/3)
Simplify g**(-27)*g*g*g**(-6)*g*g**(-29)*g*g*g*g*g**(1/12) assuming g is positive.
g**(-659/12)
Simplify (c**(-3))**(4/41)/(c*c**5*c)**(-23/3) assuming c is positive.
c**(6565/123)
Simplify b**(-23)*b*b**8*(b*b/((b/(b/(b**9*b*b)))/b))**(-... | {
"pile_set_name": "DM Mathematics"
} |
1. Let h = l + 11. Which is the third smallest value? (a) 0.1 (b) 0 (c) h
c
Let l = 4381 - 4381.2. What is the third smallest value in 5, 1/5, l, 2.07?
2.07
Let b(k) = 2882*k - 11508. Let q be b(4). What is the smallest value in q, 3, 0.4, 11, -2/21?
-2/21
Let v be (75/30)/(1/2). Let j be -64*(-2 - v/(-3)). Let z = ... | {
"pile_set_name": "DM Mathematics"
} |
(-7/4))*x**(1/19)*x*(x*x/(((x/(x/x**(7/2)))/x)/x*x))/x*x assuming x is positive.
x**(-3689/1748)
Simplify (x**(-11)*x*x*x)/(x*x/(x/(x/(x**12*x*x))))*(x**2)**(-30/11) assuming x is positive.
x**(-16/11)
Simplify (a**(2/7)/(a/a**(-3/2)))/((a/((a**(-3/5)*a)/a)*a)/a**1) assuming a is positive.
a**(-267/70)
Simplify (((m*(m... | {
"pile_set_name": "DM Mathematics"
} |
he prime factors of 2/(-13) - (-171)/13.
13
Suppose -2*c - 9 = -3*v + 38, 0 = -4*v - 3*c + 57. Let u be ((-4)/(-5))/(2/v). Let f = 2 + u. List the prime factors of f.
2
Suppose -59 = -4*r - 11. Let n = r - 3. List the prime factors of n.
3
Let g = 416 - 250. Suppose -4*a + g = 2*w, 0*w = -3*w - 3. What are the prime fa... | {
"pile_set_name": "DM Mathematics"
} |
icked without replacement from eyrrllyrerryryrrerel.
9/95
Two letters picked without replacement from hlu. Give prob of sequence hl.
1/6
Calculate prob of sequence yyy when three letters picked without replacement from yygygyyyy.
5/12
Three letters picked without replacement from fnaaanatnbbnbtnabbt. Give prob of seque... | {
"pile_set_name": "DM Mathematics"
} |
3*s - 11. What are the prime factors of ((-3)/k)/(4/(-72))?
3
Let c(w) = 30*w - 221. List the prime factors of c(11).
109
Let q(r) be the third derivative of r**5/20 + 3*r**4/8 + r**3/6 + 3*r**2. List the prime factors of q(-6).
5, 11
Let p be (-112)/80 + 4/10. List the prime factors of (-2)/p - -1*(200 + -3).
199
Sup... | {
"pile_set_name": "DM Mathematics"
} |
o**7 + 0 + 0*o**5 - 2*o**d - 1/80*o**6 + 0*o**4 + 0*o**3 + 0*o. Factor n(r).
3*r**3*(r - 1)/2
Solve 2*i**5 + 1448*i**3 + 287*i - 192 + 783/2*i**4 + 3075/2*i**2 = 0 for i.
-192, -2, -1, 1/4
Find x such that -22 - 24*x**4 + 225*x**3 - 329*x + 2 + 79*x**4 + 104*x - 35*x**2 = 0.
-4, -1, -1/11, 1
Let n(q) be the first deriv... | {
"pile_set_name": "DM Mathematics"
} |
digit of 98810?
8
What is the ten millions digit of 14065511?
1
What is the ten thousands digit of 474756?
7
What is the millions digit of 3466520?
3
What is the units digit of 12281394?
4
What is the tens digit of 2580377?
7
What is the hundreds digit of 35191?
1
What is the hundreds digit of 44101?
1
What is the uni... | {
"pile_set_name": "DM Mathematics"
} |
t z = l + 255/4. What is the nearest to z in b, -3, -1/4?
-1/4
Suppose 3*y + w = -16, -22 = 5*y - 5*w - 2. Let v = 1.01 + -0.01. Let c = 6 - 1. What is the closest to v in c, -0.1, y?
-0.1
Let g(x) = -x**2 + 10*x - 8. Let o be g(9). Let v = 8 + -5. Suppose -v*p + 0*p = -15. Which is the closest to o? (a) p (b) 0.3 (... | {
"pile_set_name": "DM Mathematics"
} |
2*p**4 - 3*p**4 + 654*p - 2 - 13*p**4 + 653*p - 1305*p.
-8*p**4 + 2*p - 2
Expand 2*i**3 - 2*i + 2*i - 2*i**3 + 3*i - 3*i + 2 + 2*i**3 - 2 + (2 - 2 - 2*i**2)*(4 + 6*i - 4) + (i**2 + 5*i**2 - i**2)*(-5*i + 3*i + i).
-15*i**3
Expand (-6 - 4 - 5)*(2*o**5 - o**4 + o**4).
-30*o**5
Expand 13*w + w + 6*w + (0*w - 3*w + 2*w)*(2... | {
"pile_set_name": "DM Mathematics"
} |
Let r be k(-1). What is the tens digit of u(r)?
1
Let p(m) = -m + 13. What is the units digit of p(-6)?
9
Let w be 1 + -3 - (-1 - -2). Let u = 4 - w. What is the units digit of u?
7
Suppose 3*w + 17 = 5*d, -2*d + 17 - 6 = 3*w. Suppose -d = -3*c + 17. What is the units digit of c?
7
Suppose 0 = 4*b - 5 - 3. What is the ... | {
"pile_set_name": "DM Mathematics"
} |
5, 7
Sort -4, 20, 2027.
-4, 20, 2027
Put 2, -159, 38, -2 in ascending order.
-159, -2, 2, 38
Sort 2, 135, -4, 4, -10, 7.
-10, -4, 2, 4, 7, 135
Put 517, -0.06, -4 in increasing order.
-4, -0.06, 517
Sort -5, 3, -0.05, 5, -192, 1/5 in decreasing order.
5, 3, 1/5, -0.05, -5, -192
Sort 1/81, -0.5, -4, 3, -6 in descending ... | {
"pile_set_name": "DM Mathematics"
} |
1 to the form h*x**3 + z + p*x + f*x**2 and give p.
13
Rearrange 3 - 2*w**2 - 3 + (2 + 3 - 3)*(-3 - 2*w**2 + 3) - 438494*w**2 + 0*w + 0*w + 438116*w**2 to g + v*w + z*w**2 and give v.
0
Rearrange 11*f - 16*f + 19*f to u*f + b and give u.
14
Express (3 - 3 - 1 + 2 + 7 - 3 + (-2 + 5 + 1)*(0 - 2 + 3))*(-2*d + 3*d - 3*d) a... | {
"pile_set_name": "DM Mathematics"
} |
. Determine d so that -9*d**3 + 4*d**3 - 4*d**2 - 4*d + 0*d - v*d**2 = 0.
-2, -2/5, 0
Let d(i) be the second derivative of -3*i**6/70 - 33*i**5/70 + 50*i**4/7 - 141*i**3/7 - 351*i**2/14 + 448*i - 1. Suppose d(a) = 0. Calculate a.
-13, -1/3, 3
Let o(w) be the third derivative of -83*w**2 + 1/15*w**5 + 0 + 1/6*w**3 - 5/2... | {
"pile_set_name": "DM Mathematics"
} |
1, 2/3 in descending order.
2/3, 0.1, -4, -5125
Put 0.106, 0.03, -0.2 in ascending order.
-0.2, 0.03, 0.106
Put -1/5, -3, 2050 in increasing order.
-3, -1/5, 2050
Put 792, 0.2, 2/31 in descending order.
792, 0.2, 2/31
Sort 1, -18, -31, 2, -30 in decreasing order.
2, 1, -18, -30, -31
Sort 39, -5, -61, 2, -3 in ascending... | {
"pile_set_name": "DM Mathematics"
} |
. Let q = 28.96 - -0.74. Let x = q - 30. Which is the second biggest value? (a) x (b) -0.5 (c) o
a
Let j = 241/60 - 47/12. What is the fourth biggest value in j, -4, 2/9, 3/7?
-4
Let m = -1324 - -3973/3. Which is the second biggest value? (a) 178.4 (b) -3 (c) m (d) 1
d
Let a be (-3)/(-2)*10/15. Let r be 102/(-11... | {
"pile_set_name": "DM Mathematics"
} |
rob of sequence idc.
1/840
Two letters picked without replacement from {b: 13, i: 3}. What is prob of sequence bb?
13/20
Four letters picked without replacement from {i: 1, d: 12}. What is prob of sequence dddd?
9/13
Two letters picked without replacement from xxxab. Give prob of sequence xx.
3/10
Four letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
- 5 = 0, 46*m = 5*r + 41*m for r.
5
Solve 2*k + 6*d + 1257 = 1283, 0 = 2*k + 2*d - 18 for k.
7
Solve 4 = 2*b - 5*q, -2*q + 825 - 809 = 8*b for b.
2
Solve 3*l + 2*h = -5, 9*h = 2*l + 10*h + 1 for l.
3
Solve -4*o = -4*k - 20, 624*k - 620*k = -16 for o.
1
Solve -2*y + 5*m = -4, 27*m = y + 31*m + 11 for y.
-3
Solve -t - 3... | {
"pile_set_name": "DM Mathematics"
} |
7
Simplify -1 + sqrt(70)/(5*sqrt(60)/sqrt(6)).
-1 + sqrt(7)/5
Simplify (sqrt(140)/sqrt(7))/sqrt(4) + 4.
sqrt(5) + 4
Simplify (sqrt(448) + 2)*6*-4.
-192*sqrt(7) - 48
Simplify 1*-5*(3*(-2 + sqrt(112)))**2.
-5220 + 720*sqrt(7)
Simplify (sqrt(3) + -1 + 1)**2 - (sqrt(33) + sqrt(33) + sqrt(132))/sqrt(11).
-4*sqrt(3) + 3
Simp... | {
"pile_set_name": "DM Mathematics"
} |
- -5. Solve s*w - 4 = i for w.
3
Let k = 142 - 89. Let w = k - 48. Solve w*p - 12 = 3 for p.
3
Suppose -7*t - 2 + 44 = 0. Suppose -60 = -11*p + t. Solve 0 = -p*k + 4*k - 10 for k.
-5
Suppose 0 = 5*w + 10 - 5. Let d = 13 + w. Solve 0 = -2*u + 6*u - d for u.
3
Suppose 3*s + 17 = 2*s. Let y be s/(-4) - 30/24. Let x(t) = 9... | {
"pile_set_name": "DM Mathematics"
} |
+ 0). Let p = o - -98. Suppose m = p + 41. Is m composite?
False
Let w(x) be the second derivative of 13*x**3/6 + x**2 - 9*x. Let m be w(2). Is 21/m - (-2338)/8 a prime number?
True
Suppose o = -0*a + 3*a + 5, 4*o + 3*a - 20 = 0. Suppose 4*u + o*k = -u + 125, -15 = -u + 4*k. Suppose u*j - 26*j = -615. Is j prime?
Fals... | {
"pile_set_name": "DM Mathematics"
} |
nearest to -2? (a) 1.9 (b) 1/6 (c) -207
b
What is the nearest to 2 in 0, 231, 1?
1
What is the nearest to 2/3 in -3/4, -0.02, 5?
-0.02
What is the nearest to -3/5 in 2/457, 13, 17, -3?
2/457
Which is the closest to 20? (a) -1/2 (b) 3 (c) -8/5 (d) -0.02 (e) 2/9
b
What is the nearest to -1 in 4754, 2, -0.5?
-0.5... | {
"pile_set_name": "DM Mathematics"
} |
at is the lowest common multiple of 84 and 140388?
982716
What is the least common multiple of 4097489 and 372499?
4097489
Calculate the smallest common multiple of 5346 and 2436804.
26804844
What is the lowest common multiple of 14 and 7379540?
7379540
Find the common denominator of -43/7314944 and 145/16458624.
65834... | {
"pile_set_name": "DM Mathematics"
} |
25/2, 629391/13, 1/9 in ascending order.
1/9, 25/2, 629391/13
Sort 18.65, -1/13, 4, 50/13, 2.
-1/13, 2, 50/13, 4, 18.65
Put -0.1, -3452.47, -4, 1/14, 3 in increasing order.
-3452.47, -4, -0.1, 1/14, 3
Sort -2, 3, 511, -466 in descending order.
511, 3, -2, -466
Put 0.465, 2/13, 10/91, -1/5 in decreasing order.
0.465, 2/... | {
"pile_set_name": "DM Mathematics"
} |
02
In base 16, what is 56c + -c8ad?
-c341
In base 9, what is 634 - 1681873?
-1681238
In base 10, what is 457745 + 64?
457809
In base 13, what is 3204 - 11725?
-b521
In base 10, what is 3 - 317620?
-317617
In base 2, what is -111100011110011001011101 + 11?
-111100011110011001011010
In base 15, what is -ee0078 + 36?
-ee0... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*a. Suppose -141*f = -134*f - m. Is f composite?
True
Let z(j) be the third derivative of -j**4/24 + 55*j**3/6 - 20*j**2. Let s be z(13). Suppose 38*y - s*y = -1172. Is y composite?
False
Suppose -11*s + 15*s = 183970 + 638842. Is s prime?
True
Let j be 18 + -15 - 1*-9. Let n be 8/3*(-9486)/j. Let h = n - -3249. Is ... | {
"pile_set_name": "DM Mathematics"
} |
1.9. Let u = k + -1.8. Let p = 11 + -8. Which is the nearest to -0.2? (a) 2 (b) p (c) u
c
Let j be (2/(-8))/((-20)/(-32)). What is the nearest to 1 in 1, -0.13, j?
1
Let g = 1 - 0.6. Suppose -2*c + 17 = 7. What is the closest to 0.1 in -1/2, c, g?
g
Let l = 1 + -1.3. Let k be 1/(1*(3 - 2)). Which is the closest to k... | {
"pile_set_name": "DM Mathematics"
} |
assuming r is positive.
r**(31/16)
Simplify (p*p*p**12/p)/p*p*p*p**(4/5)*p*p*p*(p/((p*p**2)/p*p*p))**24 assuming p is positive.
p**(-271/5)
Simplify ((g*g/(g/g**(-1)))**17*(g**(1/3))**(3/2))**(-2/17) assuming g is positive.
g**(-1/17)
Simplify (((k/k**6*k)/(k/(k**3*k)))**(-2/53))**(-2/9) assuming k is positive.
k**(-4/... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 29*b
Collect the terms in 8*k**2 + 0*k**2 - 3 + 3.
8*k**2
Collect the terms in -17*x**2 + 14*x - 14*x + 13*x**2.
-4*x**2
Collect the terms in -537*i**2 - 10*i + 537*i**2 + 6*i**3 + 10*i.
6*i**3
Collect the terms in 15*f**2 - 10*f**2 - 12*f**2.
-7*f**2
Collect the terms in -15*l + 44 - 21 - 23 - 2*l**2.
-2*l**2 - 1... | {
"pile_set_name": "DM Mathematics"
} |
+ 562
Let t(a) = 2*a - 5. Let d = -301 - -304. Let b be (6 + d + -5)/1. Let g(f) = -f + 2. Determine b*t(v) + 9*g(v).
-v - 2
Let n(p) = p**3 - 7*p**2 - 5*p - 12. Let d(z) = 2*z**2 - 5*z**2 - 3*z + 2*z**2 + 4 + 5*z + 3*z**2. Give 7*d(j) + 2*n(j).
2*j**3 + 4*j + 4
Let o(y) = 16*y**3 + 384*y**2 + 5*y - 9. Let i(x) = -14*x... | {
"pile_set_name": "DM Mathematics"
} |
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