text stringlengths 270 8.19k | meta dict |
|---|---|
)*z**(3/7)*z*z*z/((z/z**0*z)/z) assuming z is positive.
z**(-15/14)
Simplify q**11/q*q*q/q**(-2)*q assuming q is positive.
q**15
Simplify (n/(n**(-2/11)/n)*n**(-7/3))**(-23) assuming n is positive.
n**(115/33)
Simplify h**7/(h*h*h/(h**(1/6)*h)) assuming h is positive.
h**(31/6)
Simplify w**(-37/2)/(w**(-3/4)*w*w) assum... | {
"pile_set_name": "DM Mathematics"
} |
rom {e: 2, x: 1, w: 5, y: 1}. Give prob of picking 1 w and 1 y.
5/36
What is prob of picking 1 n and 1 g when two letters picked without replacement from {g: 4, t: 8, n: 8}?
16/95
Calculate prob of picking 2 a and 2 z when four letters picked without replacement from qzaaqzaqaa.
1/21
Three letters picked without replac... | {
"pile_set_name": "DM Mathematics"
} |
6). Which is smaller: f or z?
z
Let a = -0.734 - -30.004. Let z = 29 - a. Are 1 and z unequal?
True
Suppose 9 + 0 = 3*v. Suppose 2*j = -5*n + 16, 2*n - 5 + v = -3*j. Which is greater: -1 or j?
-1
Let j be 230/8 + (-7)/(-28). Let k = -30 + j. Is k < 1/4?
True
Suppose 3*m - 49 - 44 = -w, 0 = 3*w + 5*m - 283. Suppose 5*v ... | {
"pile_set_name": "DM Mathematics"
} |
-465*b
Let h(m) = 4*m**2 - 2*m - 6220. Let v(o) = 20*o. Give h(v(r)).
1600*r**2 - 40*r - 6220
Let g(z) = -z. Let x(b) = b. Let t(j) = -g(j) - 2*x(j). Let s(r) be the first derivative of -23*r**3/3 + r**2/2 + 4518. Determine t(s(c)).
23*c**2 - c
Let d(y) = -3940*y. Let g(r) = -26*r**2 + 18*r - 30. Let n(v) = 4*v**2 - 3... | {
"pile_set_name": "DM Mathematics"
} |
-9
16 + 5 + -2 + -9 + -8
2
What is 0 - ((-6 - (-3 + 9 + -6)) + -6)?
12
Evaluate 3 + 3 + 0 + (-15 - -8 - -12).
11
Evaluate -2 + (-29 - -22 - (0 + 0 - -4)).
-13
Calculate (0 - -2) + -48 + 34.
-12
Calculate 0 + 16 + -8 - (21 + -1).
-12
Calculate 88 + -87 + 6 + 1.
8
Calculate 2 - ((-5 - (-9 - -13)) + -10).
21
Evaluate -5 +... | {
"pile_set_name": "DM Mathematics"
} |
tive of -s**5/10 + 7*s**4/4 - 22*s**3/3 - 55*s**2/2 + 525*s/2 + 1092. Find n such that d(n) = 0.
-3, 5, 7
Let -4/7*u**4 + 32/7*u**3 - 200/7*u + 0 - 20/7*u**2 = 0. What is u?
-2, 0, 5
Let s(i) be the first derivative of 4*i**6/3 - 622*i**5/5 - 519*i**4 - 2416*i**3/3 - 566*i**2 - 162*i + 570. Find b such that s(b) = 0.
-... | {
"pile_set_name": "DM Mathematics"
} |
d to three dps?
0.088
Round -0.0001179041 to six decimal places.
-0.000118
Round -308832.8 to the nearest one hundred.
-308800
Round 0.0000005208521 to seven decimal places.
0.0000005
What is -21321593 rounded to the nearest one hundred thousand?
-21300000
Round 50096 to the nearest one hundred thousand.
100000
What is... | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((b/(b*b**(1/5))*b)/b*b**(-10)*b)/((b/b**(-7))/b*b/b**6) assuming b is positive.
b**(-56/5)
Simplify (s/(s/(s*s/(s*s**2))*s*s))**(-2/31) assuming s is positive.
s**(6/31)
Simplify (a*a**(2/9)/a)**(-1/16) assuming a is positive.
a**(-1/72)
Simplify (x/(x*x*x**(-7)*x))/((((x*x**(1/5))/x*x)/x)/x) assuming x is p... | {
"pile_set_name": "DM Mathematics"
} |
et n = 4065 + -4012. Are 0 and n non-equal?
True
Let h(z) = -z**2 - 4*z - 4. Suppose v - 4*q - 14 = 0, -33 = -3*v - 0*q + 3*q. Suppose -v*r - 52 = 8. Let n be h(r). Is n greater than -15?
False
Let k be (75/(-30))/(3/6). Let l be (-4 + (0 - k))*-13. Let b = 19 - 31. Are l and b equal?
False
Suppose 174*u + 168 = 167*u.... | {
"pile_set_name": "DM Mathematics"
} |
hird derivative of -47*i**6 + 2*i**3 - 288*i**2 wrt i?
-5640*i**3 + 12
What is the first derivative of -q**2*u**2 - 4*q*u**2 - 2*q*u + q - 48*u**2 - 6*u - 2 wrt q?
-2*q*u**2 - 4*u**2 - 2*u + 1
Differentiate -272*n**3 + 460.
-816*n**2
Find the second derivative of -399*l**2*t + l**2 + 4*l*t - 12*l - 2 wrt l.
-798*t + 2
... | {
"pile_set_name": "DM Mathematics"
} |
+ 5 - 2)*(1 + 8 - 4)*(5*k**2 - k**2 - 2*k**2).
-4530*k**3
Expand (0 - 3 + 2)*(3*p + 0*p + 0*p)*(10 + 6227*p + 47 + 6 - 63).
-18681*p**2
Expand 128*u**2 - 268*u**2 + 139*u**2 - 863*u**3 + (u**2 + u - u)*(u - u - 2*u).
-865*u**3 - u**2
Expand -1 + 4*q**5 - 478*q**3 + 478*q**3 + (0*q**3 - q**3 + 3*q**3)*(-152 + 152 + 13*q... | {
"pile_set_name": "DM Mathematics"
} |
at is 570 minutes after 11:46 PM?
9:16 AM
What is 103 minutes after 5:15 AM?
6:58 AM
How many minutes are there between 8:52 PM and 5:19 AM?
507
What is 408 minutes after 11:30 PM?
6:18 AM
What is 424 minutes before 9:24 PM?
2:20 PM
What is 681 minutes before 2:29 AM?
3:08 PM
What is 386 minutes after 8:24 AM?
2:50 PM
... | {
"pile_set_name": "DM Mathematics"
} |
-138222001
-6
Divide 132 by -4964.
-33/1241
What is -47 divided by 401115?
-47/401115
Divide -705614 by -50401.
14
What is -83408868 divided by -27802956?
3
Divide -96672740 by 955.
-101228
259 divided by 7740
259/7740
Calculate -110727225 divided by 24045.
-4605
20515 divided by 789
20515/789
What is -1972425 divided... | {
"pile_set_name": "DM Mathematics"
} |
rounded to the nearest ten thousand?
21290000
What is -368082.3556 rounded to the nearest ten?
-368080
Round -0.000001127519808 to seven dps.
-0.0000011
What is -866507.44 rounded to the nearest one million?
-1000000
Round 0.150333701 to 5 dps.
0.15033
What is 1703817.124 rounded to the nearest 10000?
1700000
Round -0... | {
"pile_set_name": "DM Mathematics"
} |
**6 + 0*f**2. Find the second derivative of h(o) wrt o.
24*o**2
Let b = 14 - 9. Suppose -3*w = -k + 2, -b*k + w + 10 = 5*w. What is the first derivative of n**4 + 0*n**4 - 1 - k*n**4 wrt n?
-4*n**3
Let q be (2/3)/((-6)/(-27)). Let m(d) be the first derivative of -2/3*d**q + 0*d**2 + 3/4*d**4 + 0*d + 1. What is the thir... | {
"pile_set_name": "DM Mathematics"
} |
d derivative of j(i). Differentiate c(l) wrt l.
-39*l**2
Let h(o) be the first derivative of 169*o**4/2 - 219*o**2 - 2*o - 484. Find the second derivative of h(m) wrt m.
2028*m
Let x(n) be the first derivative of 0*n**2 - 3*n - 12 - 22/3*n**3. Differentiate x(y) wrt y.
-44*y
Let d(a) be the second derivative of 21*a + ... | {
"pile_set_name": "DM Mathematics"
} |
picking 2 l, 1 z, and 1 s when four letters picked without replacement from rzrwsll.
1/35
What is prob of picking 1 x and 2 u when three letters picked without replacement from {x: 2, u: 8}?
7/15
Calculate prob of picking 3 u when three letters picked without replacement from {u: 11, f: 3}.
165/364
Calculate prob of pi... | {
"pile_set_name": "DM Mathematics"
} |
5 + h = -o. Let z(s) = 88*s**2 + s + 1. What is the tens digit of z(o)?
8
Let x(d) = 6914*d - 266. What is the ten thousands digit of x(3)?
2
Suppose -48 = -0*l - 12*l. What is the tens digit of (2/l)/((-5)/(-2330))?
3
Suppose 17*f - 3438 = 3039. Let m = -7 + f. What is the hundreds digit of m?
3
Let q(x) be the first ... | {
"pile_set_name": "DM Mathematics"
} |
s x in -2*x**2/3 - 606676*x/3 - 8290118 = 0?
-303297, -41
Find p, given that -2*p**3/5 - 3681988*p**2/5 + 7363984*p/5 = 0.
-1840996, 0, 2
Suppose -c**2/5 - 26718*c - 17483129/5 = 0. Calculate c.
-133459, -131
Factor -4*x**3 + 5144*x**2 - 312572*x - 317720.
-4*(x - 1222)*(x - 65)*(x + 1)
Determine h, given that h**4/9 -... | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of x and d?
8
Let v be (32 + -27)/(10/22). Calculate the greatest common factor of 1331 and v.
11
Let b be (-6)/(-4) + 872/16. Let x = b + -34. Calculate the highest common factor of 33 and x.
11
Let d = -88 - -92. Let u(c) = -2*c + 19. Let m be u(d). What is the highest common divisor of 121 and m?
11
Sup... | {
"pile_set_name": "DM Mathematics"
} |
e -50*u + 286 = -14 for u.
6
Solve n - 2 = -7 for n.
-5
Solve -42 = -398*r + 384*r for r.
3
Solve -3*b - 2*b = 0 for b.
0
Solve -5*z - 37 = -37 for z.
0
Solve -5*c = 4*c - 27 for c.
3
Solve -3*d + 98 = 113 for d.
-5
Solve 3*p - 23*p - 100 = 0 for p.
-5
Solve -25*j - 44 = 19*j for j.
-1
Solve 16*o + 42 + 6 = 0 for o.
-3... | {
"pile_set_name": "DM Mathematics"
} |
3).
-25/4
What is ((-10010)/150150)/((-8)/(-20)*(-3)/(-4))?
-2/9
What is the value of 16/180*(-8)/((-2048)/288)?
1/10
Calculate (-114)/(-11172)*-56 + ((-151)/(-7) - 1).
20
(1*(-4)/36)/((3420/288)/95)
-8/9
What is (8 - 14 - -45) + (-2065)/63?
56/9
Evaluate (-12)/(-24) + (-1320)/1936.
-2/11
What is (-73440)/560 + 824/(-3... | {
"pile_set_name": "DM Mathematics"
} |
109 for w.
19
Solve 1497 = 152*v + 12134 + 1371 for v.
-79
Solve 0 = 5329*c - 5423*c - 4982 for c.
-53
Solve 1784 = -96*c - 1576 for c.
-35
Solve -490*r - 396*r - 1538 = 176*r + 1648 for r.
-3
Solve -194*o + 49*o = -57*o - 54*o - 204 for o.
6
Solve 164*p + 44*p + 3691 = 2*p + 13991 for p.
50
Solve 700*n - 4698*n + 1778... | {
"pile_set_name": "DM Mathematics"
} |
t i = 20 - 23. Let t = 8 + i. Suppose -t = -q - 6. Are q and 0 nonequal?
True
Let v be (665/10)/(-7)*-2. Let f be v*4/(-12) - -4 - -1. Let r(y) = y**3 - 5*y**2 - 2*y + 9. Let p be r(5). Is f not equal to p?
True
Let q be (-10)/6*(-5)/((-25)/(-315)). Let v = q + -106. Let a be (-6)/(-8) + v*(1 + 0). Which is greater: a ... | {
"pile_set_name": "DM Mathematics"
} |
-4*p - 3*b + 8 = 0 for p.
-1
Solve -a - b - 5 = -6*a, a - 67 = -13*b for a.
2
Solve 5*z - 4*h = -31, -5*h = -z - 11461 + 11396 for z.
5
Solve -5*l + 50 - 77 = 3*u, -3*l + 31 = -10*u for l.
-3
Solve -6*k + 5*l = 31, 21 = 111*k - 112*k + 4*l for k.
-1
Solve -650*a - 25 = -5*m - 648*a, 2*a = -3*m + 31 for m.
7
Solve 29 =... | {
"pile_set_name": "DM Mathematics"
} |
-6261*i**2 + i - 151
What is the u'th term of -3609, -10751, -22659, -39333, -60773, -86979, -117951?
-2383*u**2 + 7*u - 1233
What is the a'th term of 29131, 34196, 39261, 44326, 49391, 54456?
5065*a + 24066
What is the o'th term of 222, -4849, -13300, -25131, -40342, -58933, -80904?
-1690*o**2 - o + 1913
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
vbb. Give prob of sequence fbb.
1/12
Calculate prob of sequence ltii when four letters picked without replacement from litfiim.
1/140
Four letters picked without replacement from {f: 1, g: 7, x: 5, j: 1, z: 5}. Give prob of sequence xfzz.
25/23256
Three letters picked without replacement from qqygkyq. Give prob of sequ... | {
"pile_set_name": "DM Mathematics"
} |
ositive.
w**(-1703/1155)
Simplify (p**18*p)**(-2/35)*p**(-2/41)/p**(-19) assuming p is positive.
p**(25637/1435)
Simplify (t**14*t*t**14)/((t/t**(1/4))/(t*t/(t**1*t*t)*t)) assuming t is positive.
t**(113/4)
Simplify (m*m/m**(-1/8)*m/m**(2/37))/(m**(2/9))**(-1/26) assuming m is positive.
m**(106649/34632)
Simplify ((r*r... | {
"pile_set_name": "DM Mathematics"
} |
20 for f.
-4
Solve -15*z + 20*z - 35 = 5*k, -4*z + 49 = 3*k for k.
3
Solve 16*d - 104*b + 73 = -99*b, 2*d + 31 = 5*b for d.
-3
Solve -5*l = 5*o - 10, -486*o + 527*o - 166 = l for l.
-2
Solve -2*u + 3*w + 15 = 0, -20 = -38*u + 36*u + 4*w for u.
0
Solve 24*a = u + 20*a + 9, -30 = -12*u + 2*a for u.
3
Solve -4*m + 40 = 3*... | {
"pile_set_name": "DM Mathematics"
} |
/3
Factor -523*q**3/5 + 74786*q**2/5 + 429*q/5.
-q*(q - 143)*(523*q + 3)/5
Factor -x**3/4 - 431*x**2/4 - 20159*x/2 - 38610.
-(x + 4)*(x + 130)*(x + 297)/4
Suppose 3*w**4 - 285*w**3 + 8613*w**2 - 92907*w + 208656 = 0. Calculate w.
3, 21, 23, 48
Solve -2*w**5/5 - 308*w**4/5 - 3174*w**3/5 + 69788*w**2/5 + 51296*w/5 - 2075... | {
"pile_set_name": "DM Mathematics"
} |
32, 274, 480?
2*i**3 + 2*i**2 + 2*i - 36
What is the s'th term of 64, 65, 66, 67, 68, 69?
s + 63
What is the d'th term of 37, 270, 889, 2086, 4053, 6982, 11065, 16494?
32*d**3 + d**2 + 6*d - 2
What is the x'th term of -24, -62, -124, -216, -344, -514, -732?
-x**3 - 6*x**2 - 13*x - 4
What is the o'th term of 69, 229, 49... | {
"pile_set_name": "DM Mathematics"
} |
aad. What is prob of picking 4 a?
6/13
Two letters picked without replacement from {s: 1, w: 1, j: 2, y: 5, o: 1}. Give prob of picking 1 o and 1 s.
1/45
What is prob of picking 2 m when two letters picked without replacement from {y: 4, m: 2, b: 2}?
1/28
Calculate prob of picking 4 x when four letters picked without r... | {
"pile_set_name": "DM Mathematics"
} |
of -255, -533, -811?
-278*k + 23
What is the t'th term of -65, -76, -109, -176, -289, -460, -701, -1024?
-2*t**3 + t**2 - 64
What is the b'th term of 18, 30, 42, 54, 66?
12*b + 6
What is the r'th term of 29, 56, 83?
27*r + 2
What is the u'th term of -2400, -4803, -7206, -9609, -12012?
-2403*u + 3
What is the m'th term... | {
"pile_set_name": "DM Mathematics"
} |
term of 12, -6, -40, -84, -132?
n**3 - 14*n**2 + 17*n + 8
What is the j'th term of 5, 17, 39, 77, 137, 225?
j**3 - j**2 + 8*j - 3
What is the y'th term of -12, -9, -4, 3, 12, 23, 36?
y**2 - 13
What is the k'th term of 44, 40, 38, 38?
k**2 - 7*k + 50
What is the q'th term of 703, 697, 687, 673, 655, 633?
-2*q**2 + 705
W... | {
"pile_set_name": "DM Mathematics"
} |
88510 is divided by 1772.
1682
What is the remainder when 2008 is divided by 339?
313
Calculate the remainder when 72094 is divided by 346.
126
What is the remainder when 6409 is divided by 278?
15
Calculate the remainder when 540267 is divided by 405.
402
What is the remainder when 3903 is divided by 292?
107
What is... | {
"pile_set_name": "DM Mathematics"
} |
00040124752 rounded to seven decimal places?
0.0000401
What is 0.0000009762807 rounded to seven decimal places?
0.000001
Round -4.450351 to the nearest integer.
-4
Round 0.0639708 to 4 dps.
0.064
Round -0.022312 to three dps.
-0.022
Round 62026683 to the nearest one million.
62000000
What is 181872.99 rounded to the ne... | {
"pile_set_name": "DM Mathematics"
} |
, 3, m
Let m(q) = 5*q**3 - q**2. Let r be m(1). Put r, -2, 5 in decreasing order.
5, r, -2
Let m = 26 - 183/7. Put -3, 4, m in descending order.
4, m, -3
Let j = 0.2 - 0.3. Sort j, -3/5, -0.3 in descending order.
j, -0.3, -3/5
Let f be 10*(-2)/(-10)*2. Let t = 3 + -5. Put t, f, 3 in decreasing order.
f, 3, t
Let f = 20... | {
"pile_set_name": "DM Mathematics"
} |
8*u**2 + 9*u + 2. Let v be -3*(4 + 4) - 0. What is the remainder when (-4)/v + 138/36 is divided by l(9)?
0
Let w be (-24)/7*112/(-24). Calculate the remainder when 25 is divided by (42/12 + -3)*w.
1
Let m(g) = -2*g**2 - 23*g - 3. Let s be m(-11). Calculate the remainder when (0 + 4)*(s + -2) is divided by 14.
10
Let ... | {
"pile_set_name": "DM Mathematics"
} |
4))) + -5?
1
Calculate 3 - (5 + -5) - (3 - (1 + 19)).
20
What is 14 - (7 + 13) - (3 + -5 + 6)?
-10
What is the value of (25 - 18) + 9 + 2?
18
What is 1 + -6 - (-1 - 0 - (17 - 21))?
-8
Calculate 5 + 0 + -4 - (13 - (10 + -2)).
-4
What is 0 + 2 + 7 + -6 - (48 - 56)?
11
What is the value of 5 - (10 + -5) - (-7 + 3)?
4
16 -... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 77*o**2 + 5*o + 47*o**2. Calculate l(a(r)).
164*r**4 - 5*r**2
Let x(f) = -478*f**2 + 973*f**2 - 480*f**2. Let y(q) = 40*q**2. Determine x(y(g)).
24000*g**4
Let k(v) = 2*v**2. Suppose 12*m - 892 = 2804. Let d(u) = -m + 155 + 7*u + 153. What is k(d(w))?
98*w**2
Let z(n) = -335*n - 70. Let j(b) = 24*b + 5. Let u(l) =... | {
"pile_set_name": "DM Mathematics"
} |
10572, -18856, -29512, -42534, -57916?
j**3 - 1198*j**2 + 65*j - 12
What is the p'th term of -45719, -182867, -411453, -731483, -1142963, -1645899, -2240297, -2926163?
-p**3 - 45713*p**2 - 2*p - 3
What is the h'th term of -489, -991, -1493, -1995?
-502*h + 13
What is the a'th term of -9006, -35891, -80700, -143433, -22... | {
"pile_set_name": "DM Mathematics"
} |
f) = -f**3 - 3*f**2 - 3*f. Let s = -88 - -102. Let g(n) = -15 + s - n + 1 - n**2. Give 3*g(v) - i(v).
v**3
Let a(r) = 4*r - 1. Let u(s) = s**2 + s + 1. Let k(b) = -10*b + 45. Let i be k(3). Let h(d) = -d**3 + 15*d**2 - 1. Let m be h(i). What is m*u(g) - a(g)?
-g**2 - 5*g
Let s(a) = 9*a + 723. Let o(g) = -10*g - 721. Ca... | {
"pile_set_name": "DM Mathematics"
} |
plify 4*(((-3*(-1 + sqrt(108)))**2 - sqrt(108) - sqrt(108)) + (-1 + sqrt(108) + sqrt(108) + -4)**2) + 4.
-960*sqrt(3) + 5756
Simplify (-1*sqrt(18) + -5 + sqrt(18) - (0 + sqrt(2178)) - ((sqrt(108)*-3)/sqrt(6) + -1))**2.
192*sqrt(2) + 1168
Simplify -2*(((-1 + sqrt(125))*1)**2 + (sqrt(125) + -1*sqrt(125) - sqrt(125))**2*-... | {
"pile_set_name": "DM Mathematics"
} |
- 1. What is b(-9)?
-46
Let t(b) = b**3 - 5*b**2 + 4*b + 3. What is t(4)?
3
Let f(m) = -m**2 + 8*m + 1. Determine f(7).
8
Let k(h) = 35*h - 141. Give k(4).
-1
Let f(v) = -v**3 + 9*v**2 - 7*v - 9. Determine f(7).
40
Let r(t) = -10*t + 62. What is r(6)?
2
Let x(h) = -h**3 - 19*h**2 + 2*h + 45. Calculate x(-19).
7
Let n(a... | {
"pile_set_name": "DM Mathematics"
} |
base 8, what is -11 - 52400261?
-52400272
In base 13, what is -5305b - c4?
-53152
In base 14, what is -200d - -4?
-2009
In base 2, what is 11 + 1001001011011100010010?
1001001011011100010101
In base 7, what is 303 - 130101506?
-130101203
In base 5, what is -4 + -2424133140?
-2424133144
In base 6, what is -31213 - -241... | {
"pile_set_name": "DM Mathematics"
} |
for f.
4
Let d be ((-7)/2)/(3/(-6)). Let p be 26/d + 16/56. Solve -p*w = -4*n + 4, -4 = -5*n + 16 for w.
3
Let b = 1 - -11. Let p(q) = -q**3 + 3*q**2 + 5*q - 1. Let m be p(4). Solve -m*c = -3*g + b, 0 = -g + 2*c + 8 - 2 for g.
2
Suppose 0 = -3*x + 22 + 29. Solve 7 = 4*l + 4*h - x, 0 = 2*l - 3*h + 8 for l.
2
Let g(o) = ... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(3025))/(sqrt(50)/sqrt(250)).
110*sqrt(5)
Simplify sqrt(45) + -3 + sqrt(5) - (sqrt(80) + sqrt(5) + 2)**2.
-132 - 16*sqrt(5)
Simplify (-3 + (1 + sqrt(171) + -2 - sqrt(171)))**2.
16
Simplify sqrt(9)/(sqrt(3) - sqrt(96)/sqrt(2)) + 4.
-sqrt(3)/3 + 4
Simplify ((-2*sqrt(15) - sqrt(15))/sqrt(5))**2 + sqrt(75)*-2.
-10*sqr... | {
"pile_set_name": "DM Mathematics"
} |
+ 16*m - 5. Calculate n(8).
-5
Let d(v) = 4*v - 3. Give d(-6).
-27
Let o(m) = m**3 + 10*m**2 - 39*m - 313. Determine o(-11).
-5
Let d(g) = 3*g**3 + 4*g**2 + g - 4. Give d(-2).
-14
Let q(r) = 8*r**3 - 4*r**2 - 2*r + 3. Calculate q(2).
47
Let r(d) = -10*d**3 - 4*d**2 - 2*d - 8. What is r(-2)?
60
Let n(k) = -k**2 - 14*k ... | {
"pile_set_name": "DM Mathematics"
} |
digit of 55401471?
4
What is the billions digit of 1739640798?
1
What is the millions digit of 40878636?
0
What is the hundred millions digit of 1643035223?
6
What is the units digit of 76766472?
2
What is the millions digit of 122386719?
2
What is the hundred millions digit of 396125426?
3
What is the billions digit ... | {
"pile_set_name": "DM Mathematics"
} |
.2
Add together -33554.22 and -5041.
-38595.22
2747 - -24799
27546
What is 591 minus 6976807?
-6976216
Work out -2.13 - 1618.76.
-1620.89
Work out 16290.1 + -22445.
-6154.9
-0.1 + 16961906012
16961906011.9
Add together 3380 and -0.1798.
3379.8202
10 - 10408099
-10408089
What is -43253998 - -0.087?
-43253997.913
-4009.3... | {
"pile_set_name": "DM Mathematics"
} |
0879016?
7
What is the tens digit of 119540?
4
What is the tens digit of 153666?
6
What is the hundred thousands digit of 906354?
9
What is the hundreds digit of 423286?
2
What is the units digit of 21968?
8
What is the hundreds digit of 9429164?
1
What is the ten thousands digit of 32148?
3
What is the units digit of ... | {
"pile_set_name": "DM Mathematics"
} |
digit of p?
7
Let n(u) = u + 7. What is the units digit of n(8)?
5
Let z(o) = 4*o**2 - o. Let m be z(1). Suppose 5*q = 15, -q = -2*a + m*q - 2. What is the units digit of a?
5
Suppose 6*y - 651 = -y. What is the tens digit of y?
9
Suppose 5*r - 12 - 193 = 0. What is the units digit of r?
1
Suppose 3*w = 3*n - 113 - 187... | {
"pile_set_name": "DM Mathematics"
} |
000829
Round 9031.13 to the nearest one thousand.
9000
Round 1205435.3 to the nearest one hundred thousand.
1200000
Round -8270060 to the nearest one million.
-8000000
What is -66751.5 rounded to the nearest 10?
-66750
Round 21.72387 to 1 decimal place.
21.7
Round -8.206356 to three dps.
-8.206
What is 3.4309715 rounde... | {
"pile_set_name": "DM Mathematics"
} |
9 + 9. Let x = s + 11. Put -3, x, 3 in increasing order.
-3, x, 3
Suppose 3 - 1 = 2*i. Let p be i + (1 - (-3)/1). Suppose -p*s = 4*t - 9 + 1, 5*s = -t + 17. Put -5, s, 6 in descending order.
6, s, -5
Let u(x) = -6*x**2 + 22*x - 9. Let t be u(3). Let r = 6 - 1. Suppose -v + 0*p - 9 = -p, p - 29 = r*v. Put v, t, -2 in de... | {
"pile_set_name": "DM Mathematics"
} |
ivisor of g and 11?
11
Suppose -3*p - 52 = r, -3*p + r = -4*r + 64. Let d = p - -21. Calculate the greatest common factor of d and 1.
1
Let b(u) = 7*u**2 + u. Let m be b(1). Let i = m + -3. Calculate the highest common factor of 5 and i.
5
Suppose t + u = -3*u - 5, 3*t = 2*u - 29. Let m = -7 - t. Let k be (-1)/m - 57/(... | {
"pile_set_name": "DM Mathematics"
} |
+ sqrt(2448))*2)).
-12244 + 252*sqrt(17)
Simplify -4 + -6*(-1 + sqrt(1700) + 0)**2 - ((5 + sqrt(68) + (3*(sqrt(68) - -2*sqrt(68)) - sqrt(68)))*-5)**2.
-148535 - 4380*sqrt(17)
Simplify (sqrt(32)/sqrt(2)*-3)/(sqrt(24)/(sqrt(15)/sqrt(5))) + (sqrt(2) + sqrt(2) + 3 + -3 - sqrt(2)) + sqrt(18)*-1.
-5*sqrt(2)
Simplify 1*(5 + -... | {
"pile_set_name": "DM Mathematics"
} |
z is divided by 8.
6
What is the remainder when 97/(-1)*(3 + -4) is divided by 25?
22
Let b(y) = 13*y - 4. Suppose -8 = -4*f, -2*f = -2*x - f - 2. Suppose -r + 18 = -x. What is the remainder when b(3) is divided by r?
17
Suppose 11 = 3*x - 2*g - 0, x = 2*g + 1. Let p = x - -6. Let i(l) = -32*l**3 - l**2 - l - 1. What ... | {
"pile_set_name": "DM Mathematics"
} |
ssuming u is positive.
u**(-1218)
Simplify (y/(y*y**(-3/38)*y))**(-2/195) assuming y is positive.
y**(7/741)
Simplify (((p/p**(-3/4))/p)/p)/(p/(p**(-4)/p))*p/(p*p/(p*p**0))*p**6/p assuming p is positive.
p**(-5/4)
Simplify ((j*j*j**(2/5))/j*(j*j**(2/9))/j)/(j**(-1/3))**48 assuming j is positive.
j**(793/45)
Simplify (f... | {
"pile_set_name": "DM Mathematics"
} |
-2*f = -3*l - 6, d*f - l - l = 26. Solve -f*c = -c for c.
0
Suppose 4013 = 92*b + 1989. Solve -b = s - 20 for s.
-2
Suppose 2*l - 502 = 4*j, 0 = 2*l - 3*j - 307 - 192. Let i = l + -240. Solve i*r = -4 - 6 for r.
-2
Let w(q) = -3*q + 3. Let x be w(0). Suppose -4*c + 24 = 7*k - 9*k, -4*c + 32 = 2*k. Solve x*u = c*u for u... | {
"pile_set_name": "DM Mathematics"
} |
(3/5)*p**(1/4)))/((p*p**(-2))/p*p/((p*p*p**10/p*p*p*p)/p))**(-4/27) assuming p is positive.
p**(581/540)
Simplify (b**(3/5)/(b/(b*(b/(b*b*b**5))/b)))**(2/33)*(((b**(-3/2)/b)/b)/b*b*b**(-1/4))/(b**1*b/(b**(-3)*b)) assuming b is positive.
b**(-5371/660)
Simplify (i**(-3/31)*i)**(-49)*(i**(-11))**(-9) assuming i is positi... | {
"pile_set_name": "DM Mathematics"
} |
))).
-sqrt(2)/12
Simplify -2 + (((sqrt(88) - -2*sqrt(88)) + sqrt(88))*5)/sqrt(8).
-2 + 20*sqrt(11)
Simplify (-4*-1*sqrt(15))/sqrt(5)*4.
16*sqrt(3)
Simplify (sqrt(360)/sqrt(250))/(sqrt(432)*2).
sqrt(3)/60
Simplify (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 2 + -2)))**2.
1539
Simplify 5*sqrt(52) - (sqrt(13) + 0 + -5).
5 +... | {
"pile_set_name": "DM Mathematics"
} |
- 5*x + 5*x. Let f be w(2). Let m(s) = 8*s - f*s + 4*s. Let n(j) = 13*j**2. Give m(n(i)).
13*i**2
Let z(r) = -3515*r**2. Let f(h) = 231*h - 22. Calculate f(z(o)).
-811965*o**2 - 22
Let f be 233 + (8/(-10))/((-17)/(-85)). Let w(s) = -f - 237 + 466 - s. Let p(m) = 28*m. What is p(w(a))?
-28*a
Let l(y) = -42 - 2*y - 99*y*... | {
"pile_set_name": "DM Mathematics"
} |
*2. Let o(a) = 11*a - 6. Let l(g) = -6*b(g) - 65*o(g). What is l(t(w))?
-5*w
Let p(q) = 2*q**2. Let a(t) = -20209*t**2. Determine a(p(g)).
-80836*g**4
Suppose 0*p - 5 = -p. Let n(z) = -2 + p*z**2 + 2. Let w(t) = -2*t + 8360 - 8360. Determine w(n(l)).
-10*l**2
Let m(i) = 30*i. Let c(d) = -21 - 8*d + 64 - 20 - 23. What i... | {
"pile_set_name": "DM Mathematics"
} |
Let o be d(0). Suppose -5*w - 4*v + 2083 = 423, o = 5*w + v - 1660. What is the hundreds digit of w?
3
What is the hundreds digit of 1916 - 2*2/(-4)*(100 + -95)?
9
Let z(o) = 91*o**3 - 19*o**2 + 141*o + 16. What is the units digit of z(8)?
0
Let n = 15898 + -2462. What is the thousands digit of n?
3
Let l be 0/((-3)/6... | {
"pile_set_name": "DM Mathematics"
} |
11)/((-44)/(-40)). List the prime factors of (95/(-3))/(-5)*b.
3, 19
Suppose -d = -u - 602, 5*d + 15*u - 17*u = 3010. What are the prime factors of d?
2, 7, 43
Let m = 173 + -90. Let s = 154 - m. List the prime factors of s.
71
Let o be (3 - 13)/(4/(-2)). Suppose -o = 2*a - 29. What are the prime factors of (a/(-8))/((... | {
"pile_set_name": "DM Mathematics"
} |
001
Let b = -974 + 973.999999834. Round b to seven dps.
-0.0000002
Let g = -3 - 1. Let p be g*-2*(-3)/(-6). Let m be (p - 2 - 6800003) + 1. Round m to the nearest 1000000.
-7000000
Let v = -4.3909 - -0.0109. Round v to the nearest integer.
-4
Suppose -17850 = -2*h + 5*i, 0 = -9*h + 4*h + 4*i + 44608. Suppose -g + 5*g =... | {
"pile_set_name": "DM Mathematics"
} |
101*s + 252. Suppose -60*c + 138 = -s*c. Sort -5, c, -3, -26 in descending order.
c, -3, -5, -26
Let w be (0 + -42 - 4) + 4. Let d be 1*-4*w/(-56). Let a be (-1824)/(-608) - 5*(1 + 0). Sort -4, 6, a, d.
-4, d, a, 6
Let t be (2/21)/((-30)/135). Let m = -44 + 40.04. Let c = m + -0.04. Sort c, 1/2, t, -3 in decreasing ord... | {
"pile_set_name": "DM Mathematics"
} |
(q**(-5/2))**(-39)*q*q*q**(7/11)*q*q**29 assuming q is positive.
q**(2863/22)
Simplify ((((z**(-1/2))**14)**(-28))**(4/33))**37 assuming z is positive.
z**(29008/33)
Simplify (y*(y/((y**6/y)/y))/y*y*y**(2/13)*(y**(2/5)*y)/y*y**(3/7))/((y/y**0)**6)**(-4) assuming y is positive.
y**(10457/455)
Simplify (k/k**0*((k*k*(k*... | {
"pile_set_name": "DM Mathematics"
} |
9787844 and 20?
1798939220
What is the smallest common multiple of 176904 and 165?
9729720
What is the smallest common multiple of 203259320 and 26840?
203259320
Calculate the common denominator of -163/42 and 85/1859706.
13017942
Find the common denominator of -53/27125064 and -151/16932.
27125064
Calculate the common... | {
"pile_set_name": "DM Mathematics"
} |
z(f). Give k(2).
-1
Let a = 7 + -1. Let s(g) = 2*g - 9. Calculate s(a).
3
Let g(p) be the first derivative of p**3/3 - 3*p**2/2 - 3*p - 10. Let u be g(-2). Let o(w) = -w**3 + 6*w**2 + 6*w + 5. Calculate o(u).
-2
Let j(g) be the second derivative of 5/6*g**3 - 1/24*g**4 - 1/120*g**6 - g**2 + 1/12*g**5 + 0 - 2*g. Let w(v... | {
"pile_set_name": "DM Mathematics"
} |
v**d + 1 + 3 wrt v?
-3*v**2
Let q(s) be the first derivative of 7*s**5/60 + 15*s**3/2 - 31*s**2/2 + 8. Let y(w) be the second derivative of q(w). What is the derivative of y(t) wrt t?
14*t
Differentiate 2*u**2 + 291 - 87 - 29*u**2 - 4*u**2 + 484*u - 486*u with respect to u.
-62*u - 2
Let p(s) be the first derivative of... | {
"pile_set_name": "DM Mathematics"
} |
6 and 2700?
108
What is the greatest common factor of 16896 and 1221?
33
Calculate the greatest common divisor of 3281 and 2123.
193
What is the greatest common divisor of 639729 and 36?
9
Calculate the highest common divisor of 4992 and 50752.
832
Calculate the highest common factor of 847 and 4278197.
847
What is the... | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of d(z). What is x(j(h))?
-2*h
Let v(a) be the second derivative of -1/3*a**4 + 0*a**2 + 0 + 0*a**3 - a. Let r(p) be the first derivative of p**3/3 - 3. Give v(r(h)).
-4*h**4
Let c(f) be the third derivative of f**5/40 + f**3/3 - 3*f**2. Let q(l) be the first derivative of c(l). Let a(n) = 5*n - n - 2*n... | {
"pile_set_name": "DM Mathematics"
} |
*a - 6*a + a**2. Calculate w(-9).
-2
Let b = 61 - 59. Let u(t) = -2*t**2 + 2*t - 2. Determine u(b).
-6
Suppose x = 1 + 2. Let y(h) = -5*h**3 - 2*h**2 - 7*h - 1. Suppose 3*w - 22 + 1 = 0. Let l(z) = 2*z**3 + z**2 + 3*z. Let m(a) = w*l(a) + x*y(a). Calculate m(0).
-3
Let m(a) = -4*a**2 + a + 1. Let n(x) = -x**3 - 2*x**2 ... | {
"pile_set_name": "DM Mathematics"
} |
(-6)/(-7)*(28/6 + -5). What is the second smallest value in w, c, y?
y
Let j = -156 - -156. Which is the smallest value? (a) 3 (b) 4 (c) j
c
Let s = 15.3 - 16. Let a = s - -0.4. Let h = 1/320 + 63/320. What is the second smallest value in 1, a, h?
h
Let g(i) = -i**3 - 3*i**2 + 3*i - 4. Let r be g(-4). Let s = -589/... | {
"pile_set_name": "DM Mathematics"
} |
ors of b(-3)?
2
List the prime factors of (1/(-4))/((-6)/552).
23
Let p = -26 + 37. List the prime factors of p.
11
Let b be 150/35 - (-2)/(-7). Let q be (1 + -2)/(b/(-12)). Suppose q*p + 2 - 29 = 0. What are the prime factors of p?
3
Suppose 0 = -2*k + k + 4. Suppose 0 = -5*w - k*h + 102, -10 = -3*w - 3*h + 53. What a... | {
"pile_set_name": "DM Mathematics"
} |
m - u + 389. List the prime factors of m.
3, 5, 13
Suppose -5*a - 51992 = -g, -48*g - 103984 = -50*g + a. What are the prime factors of g?
2, 67, 97
Let u = 22381 + 9510. List the prime factors of u.
31891
Suppose 3*q + 0*r = 2*r + 3065, 0 = 2*q - 2*r - 2042. Suppose -q = -3*b - 0*b. What are the prime factors of b?
11... | {
"pile_set_name": "DM Mathematics"
} |
5, 5643, 5679, 5739, 5829?
5955
What is next in 142, 1062, 3552, 8392, 16362?
28242
What comes next: -70904, -141767, -212630, -283493?
-354356
What is the next term in -1042, -1212, -1406, -1624?
-1866
What comes next: 141, 1438, 4919, 11676, 22801, 39386, 62523, 93304?
132821
What comes next: 2937, 11850, 26739, 4760... | {
"pile_set_name": "DM Mathematics"
} |
(d) 2
d
Let y = -2913614/7 + 417314. Let u = y + -1083. Let o = 0 + 2. Which is the closest to o? (a) 15/2 (b) u (c) 0
b
Let f(u) = 6*u + 4. Let n be f(-1). Let x = 0.03891 + 0.06109. Which is the closest to x? (a) -5 (b) -6 (c) n (d) 1
d
Let j = 19/70 - -1/70. Let g be (-3)/(-2)*((-303)/99 + 3). What is the ne... | {
"pile_set_name": "DM Mathematics"
} |
2*u, 5*u - h = -5*k. Is k a composite number?
False
Let s be ((-9462)/(-15))/(4/20). Suppose 0 = -9*c + s + 2957. Is c prime?
False
Let k(b) = 71*b + 158. Is k(13) a composite number?
True
Let u = -3 + 8. Suppose -u*j = -i + 171, -i - 828 = -6*i - 2*j. Suppose f - i = 205. Is f composite?
True
Suppose -3*j - 4*q + 365... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 634*y - 46. Let c be u(-8). Which is greater: c or -103?
c
Let y be (-114)/(-4)*14276/498. Are y and 815 equal?
False
Let s(z) = -2*z**2 + z + 31. Let l(t) = 26*t**2 - 49*t**2 + 22*t**2. Let y(c) = l(c) - s(c). Let g be y(6). Which is smaller: 1/4 or g?
g
Let c = -39991499/522 + 76612. Are c and -1 non-equal?
True... | {
"pile_set_name": "DM Mathematics"
} |
5706 wrt c.
1004300*c**3 + 24*c**2 + 20
Find the second derivative of -4*q**3*t**2 - q**3*t + 15*q**3 - 4*q**2*t**2 - 2*q**2 + 11*q*t**2 + 249*t**2 - 3*t - 168 wrt t.
-8*q**3 - 8*q**2 + 22*q + 498
Find the second derivative of 60*o**3 - 8255*o**2 - 607*o + 1012 wrt o.
360*o - 16510
Differentiate 2*d*t**2 - 2504*d*t - 2... | {
"pile_set_name": "DM Mathematics"
} |
76/39 and -77/2829.
36777
Calculate the common denominator of -73/157390 and -71/10.
157390
Calculate the smallest common multiple of 202316 and 16.
809264
Calculate the smallest common multiple of 6 and 350626.
1051878
What is the least common multiple of 7884 and 657?
7884
Calculate the lowest common multiple of 49 ... | {
"pile_set_name": "DM Mathematics"
} |
plify (t**(-3)/t*t**4*t)/((t/t**(-2))/t*t*t*(t*t*t/t**(-3))/t) assuming t is positive.
t**(-8)
Simplify i/(i**(1/19)/i*i*i)*i**18 assuming i is positive.
i**(341/19)
Simplify (i*i**(-2/67))/i**(-11/3) assuming i is positive.
i**(932/201)
Simplify d/d**13*d*d**(4/3) assuming d is positive.
d**(-29/3)
Simplify (z*z/(z**2... | {
"pile_set_name": "DM Mathematics"
} |
e 2*i - 2*k = 6*i - 12, d*i + 5*k - 9 = 0 for i.
3
Let h = -95 - -95. Solve 0*j - 17 = -j - 3*v, -4*j + v + 3 = h for j.
2
Let i(m) = 3*m**3 + m**2 - m + 1. Let q be (7/(-28))/((-2)/8). Let f be i(q). Solve f*h = -0*j + 3*j - 1, 2*h + 13 = -j for h.
-4
Let y be (-790)/25 - (-4)/(-10). Let g be 4/(-12) - y/6. Solve 2*w ... | {
"pile_set_name": "DM Mathematics"
} |
.
158
Calculate the remainder when 175837 is divided by 56.
53
Calculate the remainder when 1112 is divided by 581.
531
What is the remainder when 394180 is divided by 8?
4
What is the remainder when 1490 is divided by 467?
89
What is the remainder when 36109 is divided by 122?
119
What is the remainder when 33702 is d... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*p - 1 + (2*p - p + p)*(1 - 2 - 1))*(-3 + 1 + 1)) to the form o*p + f*p**3 + y + r*p**2 and give f.
2
Rearrange (-2 - h**2 + 2)*(h - 4*h + 4*h) + (4*h**2 - 3*h**2 - 3*h**2)*(-5*h + 4*h + 3*h) to s*h**2 + b + n*h**3 + i*h and give n.
-5
Rearrange 5*f**2 - 9*f**2 - 46*f**2 to the form m*f**2 + l*f + h and give m.
-50
... | {
"pile_set_name": "DM Mathematics"
} |
-22 = -5*z + 3. Suppose -z = v - 0. Let c(l) = l**3 + 6*l**2 + 5*l + 6. Determine c(v).
6
Let x = -1 - 0. Let n(s) = 4*s + 7. Let r(c) = 4*c + 6. Let z(o) = 6*n(o) - 7*r(o). Calculate z(x).
4
Let l be (-3)/(-2) + 28/(-8). Let k(n) = -4*n - 3. Give k(l).
5
Let w(p) = p - 4. Suppose 8*d = 4*d. What is w(d)?
-4
Let o(h) =... | {
"pile_set_name": "DM Mathematics"
} |
+ z**2 - t*z**c - 7 wrt z?
-6
Let y(n) be the first derivative of 3*n**4 + 10*n - 96. Let j(k) = k**2 + 24*k**3 - k**2 + 19. Let g(f) = 3*j(f) - 5*y(f). Differentiate g(u) wrt u.
36*u**2
Let c(u) be the second derivative of 8*u**6/15 - u**5/4 - 313*u**4/12 + 3*u - 87. Find the third derivative of c(w) wrt w.
384*w - 30... | {
"pile_set_name": "DM Mathematics"
} |
42.
9009*i**3
Collect the terms in 125*j**3 + 104*j**3 + 7451*j**2 - 7451*j**2.
229*j**3
Collect the terms in -53279*j + 1894*j**3 + 53279*j.
1894*j**3
Collect the terms in 201427*w**2 - 100711*w**2 - 100710*w**2.
6*w**2
Collect the terms in 108*g**3 + 46*g**3 - 1 + 1.
154*g**3
Collect the terms in 1770*f**3 + 0 + 3 +... | {
"pile_set_name": "DM Mathematics"
} |
207/68 - r/(-4) a multiple of 6?
True
Suppose g + v - 265 = 0, -v - 9 + 8 = 0. Is g a multiple of 19?
True
Suppose -2*t + 3*l + 143 = 0, -3*t - t = -2*l - 290. Is t a multiple of 24?
False
Let n(x) = 27*x**2 - 2*x - 3. Is 13 a factor of n(3)?
True
Suppose m - 9 = 39. Does 24 divide m?
True
Let a(j) = -j**3 + 9*j**2 + 3... | {
"pile_set_name": "DM Mathematics"
} |
ulate the remainder when z(-12) is divided by r.
3
Let x(c) = -c**2 - 7*c - 14. Let y be x(-4). Calculate the remainder when y/((-3)/(-810)*-4) is divided by 46.
43
Suppose -1 = 2*v - 39. Let k(z) = 3*z - 30. Let d be k(10). Suppose 5*w = -d*w + 180. Calculate the remainder when w is divided by v.
17
What is the remain... | {
"pile_set_name": "DM Mathematics"
} |
. Let l = w + h. What is l rounded to the nearest integer?
-5
Let q = 528.00485032 - -0.09844968. Let g = q - 528. What is g rounded to two dps?
0.1
Suppose 4*l = 4*g - 217084, 2*g - 6*l = 112136 - 3582. What is g rounded to the nearest ten thousand?
50000
Let q = -3929.08 + 3897. What is q rounded to 0 dps?
-32
Let d ... | {
"pile_set_name": "DM Mathematics"
} |
9586217*v**2.
-34*v**3
Collect the terms in -1524*b**3 - 9*b - 718*b**3 + 9*b.
-2242*b**3
Collect the terms in 18*v - 6 - 7 - 6 + 7*v + 28 - 26*v.
-v + 9
Collect the terms in -2*d**2 + 3*d - 224*d - d + 6*d + 213*d + 3*d.
-2*d**2
Collect the terms in 560529 + 0*t - t + 167423 + 657833.
-t + 1385785
Collect the terms in... | {
"pile_set_name": "DM Mathematics"
} |
rt(475) + 1)**2 + (-4 + sqrt(19)*-1*5)**2.
20*sqrt(19) + 2392
Simplify (sqrt(39)/(sqrt(108)*-1 + sqrt(108) + sqrt(108)))**2 + (3 + 1 + sqrt(39)/sqrt(3))**2.
8*sqrt(13) + 1057/36
Simplify 6*(-3*-2*sqrt(720))/(5*sqrt(360)/sqrt(4)).
72*sqrt(2)/5
Simplify ((-2*sqrt(14)*1 - (1*sqrt(168))/sqrt(12))/(sqrt(16)/sqrt(8)))**2.
63... | {
"pile_set_name": "DM Mathematics"
} |
0 + 1) + 5*z + 0*z - 3*z) + (1 - 1 - z)*(-3 - 2*z + 3) + z - z + 2*z**2 - 4*z + 4*z + z**2.
71*z**2
Expand (3*l + 17 + 30 + 6)*(-1 + 1 + 1).
3*l + 53
Expand 3*a**2 - 5*a + 5*a + a**2 + 3*a**2 + 4*a**2 + (3*a - 3*a - 2*a)*(5*a + 0*a - 3*a).
7*a**2
Expand (0*a**2 + 3*a**2 - 2*a - 5*a**2)*(-65*a**2 - 70*a**2 + 141*a**2).
... | {
"pile_set_name": "DM Mathematics"
} |
tors of n.
11
Suppose -2*w = -33 + 1. Let q be w*(-1 - (-3)/2). Let x(t) = 6*t + 5. List the prime factors of x(q).
53
Let n(v) = v**3 - 16*v**2 + 5*v + 30. Suppose 162 = 12*u - 30. List the prime factors of n(u).
2, 5, 11
Suppose 0 = -3*c + 5*u + 27 - 9, 0 = -2*u. Suppose c*k = 8*k - 178. List the prime factors of k.
... | {
"pile_set_name": "DM Mathematics"
} |
4/15)/((-6)/(-45)). Let f = 22 - c. List the prime factors of f - 3*1/1.
7
Suppose 0 = -4*c, 5*c = 5*w - 10 - 10. Suppose w*k + 32 = 2*u, -1 + 16 = -3*k. Suppose -3*g = -4*i - 21, u*i - 4*i - 14 = -2*g. What are the prime factors of g?
7
Suppose i - 3*u = -2*i + 12, 2 = u. Let y = 21 - i. What are the prime factors of ... | {
"pile_set_name": "DM Mathematics"
} |
. What is the closest to 0 in g, v, -5?
v
Let s = -0.69 - -1.09. Let z = 0.4 - 0.2. Let d be (1/(-3))/(2/(-6)). What is the nearest to d in z, -5, s?
s
Let k = 3049 + -3049.4. Let g be 16/(-10)*1/2. What is the closest to g in k, 4/7, 0.3?
k
Let z = -74 - -73.33. Let c = z + 1.07. What is the closest to -0.1 in -4, c, ... | {
"pile_set_name": "DM Mathematics"
} |
149*j**2 + 278
What is the y'th term of -34276, -68554, -102832, -137110?
-34278*y + 2
What is the b'th term of 518, 1732, 3762, 6614, 10294?
b**3 + 402*b**2 + b + 114
What is the n'th term of -24056, -48110, -72164?
-24054*n - 2
What is the x'th term of -14324, -28634, -42962, -57314, -71696, -86114, -100574, -115082?... | {
"pile_set_name": "DM Mathematics"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.