text stringlengths 270 8.19k | meta dict |
|---|---|
letters picked without replacement from kbqzzezmbbzqkkm. Give prob of sequence kkq.
2/455
What is prob of sequence csfg when four letters picked without replacement from {f: 1, s: 1, z: 1, g: 1, c: 1}?
1/120
Calculate prob of sequence xk when two letters picked without replacement from {f: 1, x: 4, b: 1, k: 2}.
1/7
Fou... | {
"pile_set_name": "DM Mathematics"
} |
(d) 4
c
What is the closest to 0 in -11/4, 0.2, -434, -5, -4?
0.2
What is the nearest to -0.9 in -1/5, -1912, 2/5?
-1/5
Which is the nearest to 7/3? (a) -5 (b) 1081 (c) -3
c
What is the closest to -0.2 in -52, 0.1, -43?
0.1
What is the closest to 1/7 in 3, -208, 118, -1?
-1
Which is the nearest to -245? (a) 0.4 (b... | {
"pile_set_name": "DM Mathematics"
} |
-88187/7248 + 1/2416. What is the common denominator of f and -37/23?
138
Find the common denominator of -7/12 and 37/20*70/(-56).
48
Let l = -2/939 + -1771/1252. Calculate the common denominator of l and 23/10.
60
Suppose -4*n - 32 = -8*n. Find the common denominator of -11/4 and n.
4
Calculate the common denominator ... | {
"pile_set_name": "DM Mathematics"
} |
-41289
-0.5 times 41143
-20571.5
Multiply 18.11 and 9.
162.99
What is -1190 times -0.088?
104.72
Calculate -1.628*1728.
-2813.184
31588 times -3.6
-113716.8
What is 4 times -0.25579?
-1.02316
Work out -3531.39 * 0.5.
-1765.695
What is -110 times 1.627?
-178.97
Calculate 82.721*-3.
-248.163
4.2*-15.01
-63.042
Product o... | {
"pile_set_name": "DM Mathematics"
} |
What is the least common multiple of s and p?
48
Let r = -11 - -13. Suppose q = -3*w + 20, -7*q - r*w = -2*q - 61. Calculate the smallest common multiple of q and (-16 + -2)/(6/(-4)).
132
Let f = -16413821/120 + 136782. Let c = -294/1013 + 145697/121560. Calculate the common denominator of c and f.
120
Let d be (-1768... | {
"pile_set_name": "DM Mathematics"
} |
What is the closest to a in p, -2/3, 0.13?
0.13
Suppose -2*g + 0*g + 16*g + 28 = 0. Let n = 11 + -5. Let o = n - 11. Which is the nearest to 0.1? (a) 4 (b) o (c) g
c
Let q be 99/22 + 1/(-2). Suppose -n = v + 4*n - 10, -4*v + q*n = 32. Let j = 7 - 6. Which is the closest to j? (a) -11 (b) 4 (c) v
b
Let o = 1737/2 ... | {
"pile_set_name": "DM Mathematics"
} |
e tens digit of a?
1
Suppose 23*m + 716 = 27*m. What is the units digit of m?
9
Suppose 1 = -2*h - s, -2*h = -3*h - s - 3. What is the units digit of (-170)/(-5) + h + -1?
5
Let f = -155 + 241. Let s = -51 + f. Suppose 4*j - 2*q + 5*q - s = 0, 0 = 3*j + 2*q - 25. What is the units digit of j?
5
Suppose 0 = 4*m + 2*w - ... | {
"pile_set_name": "DM Mathematics"
} |
a multiple of 5?
False
Let l(q) = -18*q - 6. Is 42 a factor of l(-9)?
False
Let k be 2 + (-3)/(-1) - 2. Suppose -q + 7 = k. Let o = 9 - q. Is 3 a factor of o?
False
Let p(o) = o**2 - 13*o - 8. Let t be p(10). Let b = -72 - t. Let q = 60 + b. Does 13 divide q?
True
Let n be ((1*12)/(-2))/1. Is (34 - n/(-3)) + 0 a multi... | {
"pile_set_name": "DM Mathematics"
} |
ive of m**7/357 + 124*m**6/255 - 1307*m**5/170 + 2191*m**4/51 - 5344*m**3/51 + 2144*m**2/17 - 849*m. Find v, given that d(v) = 0.
-134, 1, 4
Let x = -222299 - -666902/3. Let x*b**5 + 28/3*b**2 - 80/3*b**3 + 0 + 0*b + 23/3*b**4 = 0. What is b?
-7, 0, 2/5, 2
Let w = 24265/6 + -4044. Let z(l) be the third derivative of -w... | {
"pile_set_name": "DM Mathematics"
} |
0 for f.
-6
Solve 4*r - 3*r = t - 16, -13*r - 21*r = 6*t + 437 - 53 for r.
-12
Solve 144*n = -h + 145*n - 10, 59*h - 64*h + 3*n - 38 = 0 for h.
-4
Solve -10 = -s + 2*y, -3*s + 4*y + 2129111 = 2129089 for s.
2
Solve 158*f - 160*f = -4*b + 46, 5*f - 803 = -92*b for b.
9
Solve 3*c + 17 = -14*t, -3*c - 10 = -394*t + 401*t... | {
"pile_set_name": "DM Mathematics"
} |
-24, 0?
0
Which is the third smallest value? (a) 3 (b) -37 (c) -3/4 (d) -2/23
d
What is the third biggest value in 1/4, 3/7, -1, -5, 4?
1/4
Which is the smallest value? (a) -2/3 (b) 0 (c) 0.2
a
What is the second biggest value in 9/4, -3, -3/11?
-3/11
Which is the second smallest value? (a) -3/5 (b) 0 (c) -1.... | {
"pile_set_name": "DM Mathematics"
} |
etters picked without replacement from rnrnnvrvjwnwnn. Give prob of picking 2 r, 1 w, and 1 v.
12/1001
Four letters picked without replacement from gznynznynynn. What is prob of picking 2 z and 2 n?
1/33
What is prob of picking 1 r, 1 y, and 1 d when three letters picked without replacement from yzzysdzyymrssmdzyzsm?
1... | {
"pile_set_name": "DM Mathematics"
} |
inder when 49 is divided by s(0)?
7
Let q = -2369 - -2397. Calculate the remainder when 36 is divided by q.
8
Suppose 4*m - 3*h = 2*h - 8, 0 = 3*m - 3*h + 3. Calculate the remainder when 23 is divided by m.
2
Let h be (30/9)/((-1)/(-3)). Suppose 4*x + 48 = h*x. Calculate the remainder when 31 is divided by 156/x + (-9)... | {
"pile_set_name": "DM Mathematics"
} |
-z**3 + 5*z**2 - 4*z - 5. Let g be h(4). Determine n(g).
-8
Let m(q) = -4*q - 3. Let t(z) = -4*z - 3. Let a(h) = 6*m(h) - 5*t(h). Give a(-2).
5
Let l be -3 + (0 + -3 - -2). Let f(k) = -4*k**3 - 12*k**2 + 15*k + 12. Let t(n) = -n**3 - 3*n**2 + 4*n + 3. Let g(p) = 2*f(p) - 9*t(p). Give g(l).
5
Let l(d) = 2*d + 7. Let o(s... | {
"pile_set_name": "DM Mathematics"
} |
arest to 0.1 in -4/23, 10, 2/17, 2/9?
2/17
Which is the nearest to 2/5? (a) -3 (b) 116 (c) 0.12
c
What is the closest to 0.2 in 0.03, 1/5, -1, -77?
1/5
Which is the closest to 2/7? (a) 1.72 (b) -5 (c) -22 (d) 3
a
What is the closest to -1 in -91, 22, -5, 1?
1
What is the nearest to 0 in 3, -0.1, -5.4, -2/9, 1/4?... | {
"pile_set_name": "DM Mathematics"
} |
fore 4:16 AM?
8:53 PM
What is 315 minutes after 8:50 PM?
2:05 AM
How many minutes are there between 8:30 AM and 6:46 PM?
616
What is 107 minutes before 9:41 PM?
7:54 PM
What is 670 minutes after 6:29 PM?
5:39 AM
How many minutes are there between 1:21 PM and 1:41 PM?
20
What is 588 minutes after 11:33 AM?
9:21 PM
What ... | {
"pile_set_name": "DM Mathematics"
} |
y - 3*y + 4*y - 1 + 3 - y.
y + 2
Expand 2*p**4 - 3*p**4 - p**4 + (0 - 7 + 1)*(2*p**2 - 2*p**2 + 2*p**4) - p**4 - p**4 + 0*p**4.
-16*p**4
Expand -4*t**2 - 2*t**5 + 2*t**2 + 4*t**5 + (2*t**4 + 0*t**4 - t**4)*(2*t - t + t) + t**4 - t**4 + 2*t**5 + 0*t**5 - 5*t**5 + 0*t**5.
t**5 - 2*t**2
Expand -4 - g**2 + 7564*g - 7563*g ... | {
"pile_set_name": "DM Mathematics"
} |
Let x = g + q. What is x rounded to seven dps?
-0.000001
Let u = -1956962 + 1956962.1001791. Let o = u - 0.1001. Round o to 5 decimal places.
0.00008
Let k = 1.07999792 + -1.08. Round k to seven dps.
-0.0000021
Let k(h) = 3282923*h - 4. Let t be 1*-2*(-1 + 3). Let b be k(t). Let z = 5631696 + b. Round z to the nearest... | {
"pile_set_name": "DM Mathematics"
} |
(b) 2/19 (c) -0.1 (d) -4.4
d
What is the third smallest value in -2, 1, 9, 0.4, 3/7, 3/50?
0.4
What is the third biggest value in 0.4, 1, -1814, -0.3, -2/11, -1, -1/10?
-1/10
What is the biggest value in 621307, -40/7, 2?
621307
Which is the third smallest value? (a) 521.666 (b) -1 (c) 4 (d) 2/11
c
Which is the... | {
"pile_set_name": "DM Mathematics"
} |
What is 7701 plus 153466.47?
161167.47
Add together 7004097706613 and -0.5.
7004097706612.5
1.5 + -11842798531
-11842798529.5
Work out -53.4 - 120278393571.
-120278393624.4
2416761425+-0.108707
2416761424.891293
Calculate 0.02 + 150020.7855582.
150020.8055582
Total of -54763.9 and -1.1100355.
-54765.0100355
-14.62+2203... | {
"pile_set_name": "DM Mathematics"
} |
6. Let z = y - f. Is z a prime number?
False
Let s = -215 - -638. Let b = 646 - s. Is b a prime number?
True
Is -5 + 17169 - 1*(-15)/(-3) prime?
True
Suppose 0 = -t - 2*u + 80805, 2*t - 3*t - 4*u + 80803 = 0. Is t a prime number?
False
Let h = 17285 + -5916. Is h composite?
False
Is 8223/(-4)*(-56)/42 a prime number?
T... | {
"pile_set_name": "DM Mathematics"
} |
of 1/56*u**7 + 0*u**3 - 1/448*u**8 + 0 - u**2 + 0*u - 1/20*u**6 + 0*u**4 + 1/20*u**5. Determine w, given that k(w) = 0.
0, 1, 2
Let d be ((-1)/(-4))/((-10)/(-20))*0. Let p(s) be the third derivative of 0*s + 1/220*s**6 + d*s**3 - 1/165*s**5 + 0 + 0*s**4 - 2*s**2. Factor p(f).
2*f**2*(3*f - 2)/11
What is v in 2/5*v**2 ... | {
"pile_set_name": "DM Mathematics"
} |
0
Find the common denominator of (-137)/12*(1 + 1) and -37/22.
66
Let j(s) = s**3 + 3*s**2. Suppose -2*w = -6*o + o + 8, -3*w = -4*o + 12. Let z be j(w). Let t = 49/4 + z. Calculate the common denominator of -49/4 and t.
4
Suppose 0 = -4*q - 9 + 41. Calculate the least common multiple of q and 11.
88
Suppose 4*t = 7 + ... | {
"pile_set_name": "DM Mathematics"
} |
+ 14*u**2 - u - 1. Let h be v(-14). What is the greatest common divisor of 26 and h?
13
Suppose 4*k - 2*k = 4. Suppose k*t = 3*t - 110. What is the highest common factor of t and 44?
22
Suppose 1 = -2*l + 5*k, 0 = -2*l + 2*k - 3 + 5. Suppose 5*u - 12 = -l*i, 3*i - 3*u - 56 = -u. What is the greatest common divisor of i... | {
"pile_set_name": "DM Mathematics"
} |
2677?
2466
In base 13, what is 1438 - -a?
1445
In base 13, what is 2 - 3c4b?
-3c49
In base 16, what is 39 - -624?
65d
In base 14, what is 1 + -1860b?
-1860a
In base 6, what is 2555 + -334?
2221
In base 15, what is -260b + -14e?
-275a
In base 9, what is 65750 - 0?
65750
In base 10, what is 167 + -559?
-392
In base 10, w... | {
"pile_set_name": "DM Mathematics"
} |
(c) -0.1
a
Let j = 32.2 + -32. Which is the second biggest value? (a) j (b) 5 (c) 0.7 (d) -3
c
Suppose -p + 23 = -5*h, -5*p - 4*h + h = 25. Which is the third smallest value? (a) 0.3 (b) p (c) 5
c
Let d be 2*(-5)/90*-2. Let g = 168/5 - 33. What is the biggest value in d, g, -1?
g
Let i = -705 + 707.93. Let u = -... | {
"pile_set_name": "DM Mathematics"
} |
for i.
0
Let q be 16/12 - 1 - 68/(-3). Solve q*m + 6 = 26*m for m.
2
Suppose 4*u - 8 = 0, 4 = 5*q + 2*u + 60. Let m = q + 16. Suppose -m*x = -5*x + 1. Solve -2*k = -x - 9 for k.
5
Suppose d = -2*f + 6, 2*d - 54*f = -53*f + 2. Let w be 3/((-3)/2)*-1. Suppose -3*q = w*q. Solve q = d*s + 3*s + 15 for s.
-3
Let q be (-2)/(... | {
"pile_set_name": "DM Mathematics"
} |
visor of 737 and 4489?
67
Calculate the highest common divisor of 532 and 140.
28
What is the greatest common factor of 198 and 8316?
198
Calculate the greatest common factor of 5 and 245.
5
What is the highest common factor of 267 and 2848?
89
Calculate the highest common factor of 104 and 247.
13
What is the highest ... | {
"pile_set_name": "DM Mathematics"
} |
or c.
-6
Suppose -5*y - 23 - 57 = 0. Let o = y + 14. Let r be 0 + -2 + (-4)/o. Solve 2 = -2*d - r*d for d.
-1
Let o(h) = 3*h**2 - 74*h - 62. Let l be o(28). Solve 0 = 19*q + 47 - l for q.
9
Let l = 834 - 675. Suppose -l*y - 280 = -179*y. Solve 7*d + 35 = y*d for d.
5
Let l(h) = h**3 + 139*h**2 + 3*h + 457. Let s be l(-... | {
"pile_set_name": "DM Mathematics"
} |
g). Let b(q) = -5*q**2. Calculate b(y(z)).
-5*z**4
Let u(j) = 45830*j. Let g(f) = -2*f. Give g(u(b)).
-91660*b
Let u(s) = 2*s - 1. Let o(k) = 2*k**2 - 20*k + 10. Let a(g) = o(g) + 10*u(g). Let x(c) = -99*c. Calculate a(x(n)).
19602*n**2
Let h(o) = -2*o**2. Let w(i) = -24 + 128*i + 13 + 11. Determine h(w(v)).
-32768*v**... | {
"pile_set_name": "DM Mathematics"
} |
92 divided by 6?
-57913032
-97625770 divided by -55946
1745
Divide 16736730 by -3347346.
-5
What is 7243247 divided by 11?
658477
117619 divided by -1320
-117619/1320
What is -3389536 divided by 2902?
-1168
Divide -10223 by 1556.
-10223/1556
835852 divided by -23
-835852/23
What is 387235955 divided by 5?
77447191
What... | {
"pile_set_name": "DM Mathematics"
} |
y -271119?
3
What is -29094 divided by 1?
-29094
Calculate 33 divided by -1453.
-33/1453
What is -1208052 divided by -67114?
18
Divide 126365 by 5.
25273
Divide -15 by 69170.
-3/13834
Calculate -93 divided by -1010.
93/1010
-35200 divided by 11
-3200
What is 1377 divided by -25?
-1377/25
Divide -1141686 by -2583.
442
D... | {
"pile_set_name": "DM Mathematics"
} |
7/22 and a.
220
Suppose -4*f + 72 = -0*f. Suppose -16 = -4*c, 3*c + 18 = n + 6*c. Calculate the least common multiple of n and f.
18
Suppose 0*q = -2*q + 4. Let m be ((-12)/q)/(6/(-4)). Suppose 5*f = -m*x + 52, 21 = -3*x + 4*f + 91. What is the smallest common multiple of x and 12?
36
Find the common denominator of -31... | {
"pile_set_name": "DM Mathematics"
} |
x = g - 124, 2*g = -3*x - 0*g + 128. Suppose -4*o - 10 = -94. Calculate the remainder when x is divided by o.
19
Let p be -1 + (5 + -1)/1. What is the remainder when 38 is divided by (26/(-4))/(p/(-6))?
12
Let k(f) = f**2 + 8*f + 7. Let v(m) = -4*m + 1. Let y be v(2). Let d be k(y). Suppose d = -5*o - 50 + 155. What is... | {
"pile_set_name": "DM Mathematics"
} |
et d = -37 - -260/7. What is the second smallest value in d, 5, 0?
d
Let t = 23.5 + -19. Let o = t - 0.5. What is the third smallest value in -5/3, o, -1/7?
o
Let q = 0.01 + -5.41. Let c = -5 - q. Let a be (-6)/10 - (-31)/60. What is the smallest value in c, -0.3, a?
-0.3
Let z = -0.293 + -0.007. What is the second big... | {
"pile_set_name": "DM Mathematics"
} |
minutes are there between 9:44 PM and 2:36 AM?
292
What is 166 minutes before 11:23 AM?
8:37 AM
How many minutes are there between 6:07 PM and 7:35 PM?
88
How many minutes are there between 6:24 AM and 10:38 AM?
254
How many minutes are there between 11:45 AM and 6:24 PM?
399
How many minutes are there between 3:49 PM ... | {
"pile_set_name": "DM Mathematics"
} |
) + 2 - 2 + 7*f**3)*(234 + 440 - 33).
3846*f**3
Expand (3*c - c + c)*(27 + 40 + 12 + 46).
375*c
Expand -10*h**3 - 12*h**3 + 4*h**3 - h + h - 2*h**3 - 3*h**3 + 3*h**3 - 2*h**3 + (0*h + 0*h - 2*h**3)*(-1 + 2 + 0) + 3*h**3 - h**3 - 3*h**3.
-25*h**3
Expand (2*m**3 - 8*m**3 + 3*m**3)*(44*m + 211 - 211)*(-1 - 2*m + 1).
264*m... | {
"pile_set_name": "DM Mathematics"
} |
(18) + sqrt(18))/(2*sqrt(108))).
-18*sqrt(7)/5
Simplify (-4*(sqrt(336)*-2)/sqrt(6))/((sqrt(343) + sqrt(343)*-2)*-1 - (5*sqrt(343)*-1 - sqrt(343))).
16*sqrt(2)/49
Simplify -5 + (5 + (sqrt(637) + -5 + sqrt(637)*2 - (sqrt(637) + (sqrt(637) - 1*sqrt(637)) + 5))**2)*4.
-1120*sqrt(13) + 10607
Simplify (-1 + (-2*(-4*(-1 + sqr... | {
"pile_set_name": "DM Mathematics"
} |
w
Suppose a + 23*m + 8 = 21*m, 0 = 2*a + 2*m + 14. Let y(c) = -c**3 - c**2 - 5*c - 9. Let i(d) = -d**3 - d**2 - 6*d - 10. Calculate a*y(n) + 5*i(n).
n**3 + n**2 + 4
Let l = 9329 - 9332. Let j(n) = -2*n**3 - 12*n**2 - 2*n + 2. Let a(c) = -2*c**3 - 11*c**2 - 3*c + 3. Give l*j(i) + 2*a(i).
2*i**3 + 14*i**2
Let n(s) = -192... | {
"pile_set_name": "DM Mathematics"
} |
14 divide (-2)/(s/(-129) - 1)?
False
Let g be (-1 - -2)*(2 - 11). Let p(j) = j + 12. Let c be p(g). Suppose c*i - 80 - 13 = 0. Is i a multiple of 31?
True
Suppose 111 = s + 2*g, -2*s + 108 = 3*g - 113. Suppose -5*x = -3*n - s, 66 = 4*x - 4*n - 18. Is 7 a factor of x?
False
Suppose -o - 3*c = -2*c - 203, 5*c = -4*o + 8... | {
"pile_set_name": "DM Mathematics"
} |
0*f**2 + 2*s
Find the second derivative of 2947*h**3 + h - 46 wrt h.
17682*h
What is the third derivative of -24*s**4*w**3 + 70*s**4*w**2 - s**2*w**2 - 27*w**3 + 10*w**2 wrt s?
-576*s*w**3 + 1680*s*w**2
Find the second derivative of -41*c**3*q - 10*c**2*q**2 + c + 184*q**2 wrt c.
-246*c*q - 20*q**2
What is the derivati... | {
"pile_set_name": "DM Mathematics"
} |
)
Simplify (x**(-1/7)/x**(3/10))/(x*((x*x*x**(-1/4))/x)/x)**29*x/x**(-3/5)*x**(-1/2)*x*x**4*x**(-6) assuming x is positive.
x**(-3093/140)
Simplify (w**(3/5)/w*(w*w**(3/5)*w)/w)**(-15/7)/((w*w**(-5)*w**(-2/13))/(w**3/w**7)) assuming w is positive.
w**(-220/91)
Simplify (v*v**(4/9)/v)/(v/v**10)*(v/v**36)**(-15) assuming... | {
"pile_set_name": "DM Mathematics"
} |
54. Let w be y(-27). What is the highest common divisor of 135 and w?
27
Let v(c) = 56*c**3 - 1. Let k be v(1). What is the greatest common divisor of 20 and k?
5
Suppose -2*a + 3*v + 79 = 2*a, -2*a = 4*v - 12. What is the highest common divisor of a and 24?
8
Let v = -260 + 271. Calculate the greatest common factor o... | {
"pile_set_name": "DM Mathematics"
} |
1723
-3244748 * -10
32447480
Calculate 9.863*-1656.
-16333.128
16986 * -10711
-181937046
What is -6919 times 19536?
-135169584
What is the product of -211813.0175 and -0.3?
63543.90525
Product of -0.51875 and 100.
-51.875
Work out -63.5436 * 195.
-12391.002
What is the product of -206656 and 3.19?
-659232.64
Product of... | {
"pile_set_name": "DM Mathematics"
} |
182 divided by -130
-12091/65
Calculate 283416 divided by 5061.
56
Divide 1293156 by -6.
-215526
Calculate -2630656 divided by -46976.
56
What is 148345 divided by -29669?
-5
-744224 divided by -4
186056
Divide -2509 by -211.
2509/211
Divide -62 by -1967.
62/1967
Calculate -889 divided by 29.
-889/29
Divide -20875 by 2... | {
"pile_set_name": "DM Mathematics"
} |
11*f**4/12 - 28*f**2. What is the second derivative of h(y) wrt y?
260*y**3
Let x(l) = l + 5. Let c be x(-6). Let y = 5 - c. What is the third derivative of -3*s**2 - 6*s + 3*s**5 + y*s wrt s?
180*s**2
Let r be (2/(-3))/((-4)/42). Find the first derivative of -8*k**2 + r*k**2 + 4 - 2*k**2 wrt k.
-6*k
Let z be 1 - -1 -... | {
"pile_set_name": "DM Mathematics"
} |
+ c*f**3 + i + r*f**4 and give r.
-347
Rearrange 676*x + 1086*x + 1411*x - 1047*x to the form i*x + o and give i.
2126
Express (4*s**2 - 5*s**2 + 5*s**2)*(29*s + 35*s - 49*s) in the form x + u*s**3 + m*s**2 + o*s and give u.
60
Rearrange (0 + 5 - 1)*(2*m + 3*m - 3*m)*(0 - 3 + 2)*(-m - 3*m + 5*m) + (2*m + 0*m + 0*m)*(0*... | {
"pile_set_name": "DM Mathematics"
} |
) + sqrt(108)*-4 + (sqrt(252)/sqrt(7))/sqrt(12).
-16*sqrt(3) + 2353
Simplify 0 + (-6*(sqrt(468) + (sqrt(468) - -2*3*sqrt(468))))/((sqrt(9) - (sqrt(1089) - (sqrt(1089)*-1 - sqrt(1089))))*-3).
-sqrt(13)
Simplify 2*(4 + sqrt(180))*3 - (3*sqrt(80))/(sqrt(4) - 2*sqrt(24)/sqrt(6)).
24 + 42*sqrt(5)
Simplify 4 + 4*(5 + (((0 + ... | {
"pile_set_name": "DM Mathematics"
} |
= -2*n - 4*u. Calculate the remainder when m is divided by n.
1
Let u(w) be the second derivative of w**3/3 - 4*w**2 + 15*w. What is the remainder when u(19) is divided by 18?
12
Suppose 3*i - 1297 = -4*u, 22*i - 21*i - 3*u - 428 = 0. What is the remainder when i is divided by 72?
71
Let f = 56 + -52. Suppose -f*m = 5*... | {
"pile_set_name": "DM Mathematics"
} |
rm of 18568, 36985, 55398, 73807?
-2*c**2 + 18423*c + 147
What is the h'th term of 5118414, 10236564, 15354714, 20472864?
5118150*h + 264
What is the f'th term of 2497933, 4995864, 7493795, 9991726, 12489657?
2497931*f + 2
What is the v'th term of 3040164, 6080334, 9120504?
3040170*v - 6
What is the d'th term of 764145... | {
"pile_set_name": "DM Mathematics"
} |
29 rounded to one dp?
-0.2
Round 0.007943 to 4 decimal places.
0.0079
Round 0.00242 to 3 decimal places.
0.002
What is -0.0008372 rounded to five dps?
-0.00084
Round 4080 to the nearest 1000.
4000
Round 0.248 to 2 dps.
0.25
Round 60886000 to the nearest 1000000.
61000000
Round -0.00001347 to six decimal places.
-0.0000... | {
"pile_set_name": "DM Mathematics"
} |
there between 2:28 PM and 8:00 PM?
332
What is 609 minutes after 2:48 AM?
12:57 PM
How many minutes are there between 8:09 PM and 9:39 PM?
90
How many minutes are there between 3:23 PM and 3:29 PM?
6
What is 260 minutes after 4:12 AM?
8:32 AM
What is 643 minutes after 3:03 AM?
1:46 PM
What is 155 minutes before 2:04 P... | {
"pile_set_name": "DM Mathematics"
} |
5))**0 assuming s is positive.
s**(-257/204)
Simplify (r**(-1/20)*r*r*r**6)/((r*r/r**9)/r*(r*r**(-5))/r) assuming r is positive.
r**(419/20)
Simplify ((n**(-2/7)/(n**(3/7)/n*n))**(-1))**(-3/37) assuming n is positive.
n**(-15/259)
Simplify (i**0*i*i)**11*i**6*i/i**1*i*i assuming i is positive.
i**30
Simplify (w**(3/13)... | {
"pile_set_name": "DM Mathematics"
} |
e 24/(-4)*(63/(-161))/(-9)*2/(-6).
2/23
1/(-4)*236*(-452)/1240062*(-3)/2
-1/31
Evaluate 29/29*740/(-296)*476/(-30)*3.
119
(60/(-10))/(-204)*1
1/34
What is 135/(-18)*42*(-34)/765?
14
What is the value of -9*(-13)/((-89739)/(-236))?
4/13
Evaluate ((229/(-36))/(-229))/((15/200)/1).
10/27
What is 125/(-100)*(416/10)/2?
-26... | {
"pile_set_name": "DM Mathematics"
} |
t be u(-14). Solve 2 = 4*v + 151*k - 149*k, 5*v + 5*k + t = 0 for v.
2
Suppose -8*i + 4*i - 5*g - 7 = 0, -2*i + g - 7 = 0. Let z(h) = -19*h - 53. Let b be z(i). Solve 3*d - d - 3*u = 11, d + 22 = -b*u for d.
-2
Let y = -5785 + 5801. Solve 18 = -m - 5*q, -15 = 18*m - y*m + 3*q for m.
-3
Let f be 17/(425/10) + 26/10. Su... | {
"pile_set_name": "DM Mathematics"
} |
closest to -0.08? (a) 2/19 (b) -5005 (c) 41
a
Which is the nearest to -0.4? (a) 4 (b) 5 (c) -3 (d) 0.5 (e) 0.67 (f) -0.1
f
What is the closest to -1/23 in -565, 0.32, -1/10, 15?
-1/10
What is the closest to -1 in 4, -8/7, -473.1, 4/7, 2, -1.1?
-1.1
What is the closest to 2 in -6, -5, -858815?
-5
What is the cl... | {
"pile_set_name": "DM Mathematics"
} |
is the third smallest value in -0.3, n, 2/3?
2/3
Suppose 3*g - 4 - 50 = 0. Let r be 18/4*3/g. What is the second smallest value in 3, -5, r, -3/7?
-3/7
Let s be (5/(1 + -16))/(2/(-24)). What is the second smallest value in s, -5, 0.3?
0.3
Let x = -929 + 926. What is the biggest value in 4, x, -1/57?
4
Let j = 795.3 + ... | {
"pile_set_name": "DM Mathematics"
} |
-3120.6448
What is the distance between -5231620699 and -52062?
5231568637
Calculate -1085513854 - 1469.
-1085515323
What is -241294872902 minus 0.2?
-241294872902.2
What is 101318901049 - 364?
101318900685
Total of -381307152006 and -0.01.
-381307152006.01
Add -0.177 and -32347214874.
-32347214874.177
Total of -32.83... | {
"pile_set_name": "DM Mathematics"
} |
k.
120*k**3 + 504*k
Let b(x) = 7*x + 109. Let z(i) = -4*i - 55. Let o(r) = -3*b(r) - 5*z(r). What is the first derivative of o(t) wrt t?
-1
Differentiate 0*l - 4 - 2 + 8 - 3*l with respect to l.
-3
Suppose 8 = -k - 5*z, 4*k - 5 = 4*z + 11. Find the third derivative of 3*c**4 + k*c**2 - 2*c**4 - c**2 wrt c.
24*c
Let f(v... | {
"pile_set_name": "DM Mathematics"
} |
e value of (8/((-280)/(-49)))/(18/10)?
7/9
((-3)/(-3)*-6)/(102/4352*32)
-8
What is the value of ((-31)/(-3472)*56)/(2/88*2)?
11
Calculate (((-153)/(-18))/17)/((-9)/54).
-3
Evaluate ((-130)/(-2))/(1005/67).
13/3
What is the value of 9/27*(-162)/(-216)?
1/4
What is the value of 1440/(-60)*(-4)/24*-2?
-8
What is (-4)/(40/... | {
"pile_set_name": "DM Mathematics"
} |
(1/(-5))?
1
Suppose -3*v - 2*u = -v - 6, -2*u + 16 = 4*v. Suppose 40 = 4*y - v*l, 2*y + 24 = 6*y - l. What is the units digit of y?
5
Let h(p) = 12*p**2 - p - 6. Let n(d) = d**2 + 1. Let j(c) = h(c) + 5*n(c). What is the tens digit of j(-1)?
1
Suppose 5*r + 93 = 2*r. Let f = -2 - r. What is the units digit of f?
9
Let ... | {
"pile_set_name": "DM Mathematics"
} |
n three letters picked without replacement from {j: 4, c: 6, i: 1}?
2/165
Three letters picked without replacement from egxgxbegeeexeebegexb. What is prob of sequence ebb?
3/380
Calculate prob of sequence uu when two letters picked without replacement from uttuifctcec.
1/55
What is prob of sequence rpp when three lette... | {
"pile_set_name": "DM Mathematics"
} |
m be c(a). Round m to the nearest 10000.
50000
Let o = 0.045 + 31.955. Let g = -32.8313 + 0.8398. Let h = o + g. Round h to 3 dps.
0.009
Let k = -0.223 - -0.272. Let a = 42.0565 + -42. Let v = a - k. What is v rounded to three decimal places?
0.008
Suppose -n - 2*n + 2*z = -15, 5*n + 4*z = 25. Suppose -5*u + 230 = n*b,... | {
"pile_set_name": "DM Mathematics"
} |
lse
Suppose 58482 = 6*b + 11724. Suppose b = 13*m - 2334. Is m a composite number?
True
Let z(q) be the second derivative of -11*q**5/20 - 2*q**4/3 - 2*q**3 - 14*q**2 - 115*q. Is z(-9) a composite number?
False
Let f be (-10)/4 - (-10988149)/74. Suppose 59*l + 12255 = f. Is l a prime number?
True
Let z(i) = 12383*i - 2... | {
"pile_set_name": "DM Mathematics"
} |
t w be c(10). Let h be (-156)/(-44) - w - 1. Is 2 <= h?
False
Suppose 5*n + 0*n = -5. Let a be n/((-1)/17) - 3. Suppose i = -z - 8, -z + 2*z + a = -4*i. Which is bigger: z or 2?
2
Suppose -5*q + 12 = 2. Let y be 55/(-22) + 1/q. Which is greater: y or 1?
1
Let g = 562/5 - 112. Suppose -3*s - 2*s = 2*s. Is s >= g?
False
... | {
"pile_set_name": "DM Mathematics"
} |
k. Round x to 3 decimal places.
-0.009
Let x = -1.368 - 732.632. Let s = 729.18 + x. Round s to one decimal place.
-4.8
Let k = 4.87 - 4.8. Let j = -0.065 - k. Let b = j + 0.13500218. What is b rounded to seven dps?
0.0000022
Suppose -17*v = -30*v - 208. Let s be (-16)/6*1*115800/v. What is s rounded to the nearest on... | {
"pile_set_name": "DM Mathematics"
} |
test common divisor of 196 and i.
4
Let s(z) = -8*z + z**3 - 22*z**2 - 20*z - 1 - 20*z**2 - 14*z. Let n be s(43). What is the highest common factor of 2 and n?
2
Let m be (29/(522/(-3321)))/(2 + 10/(-4)). Let j = -24 - -65. What is the highest common factor of j and m?
41
Let q(d) = -3*d**2 + 57*d - 6. Let c be q(13). ... | {
"pile_set_name": "DM Mathematics"
} |
t(512) + sqrt(512) + 4)**2*4 + (sqrt(512) + ((-1 + sqrt(512))*5)**2)*-2)*-5.
-143080 + 62080*sqrt(2)
Simplify ((-5*sqrt(875) - sqrt(35))/sqrt(5) + -4 + 5*(3*(sqrt(28) - sqrt(7)))**2*-5)*5.
-7895 - 130*sqrt(7)
Simplify ((sqrt(80)/sqrt(5) - (1*sqrt(324) + sqrt(324)))*-2)/(-4*(sqrt(18) + (sqrt(450) - 3*sqrt(450)))).
8*sqr... | {
"pile_set_name": "DM Mathematics"
} |
)*7 + (-86)/12?
-7
What is (-1)/3*63*7/21?
-7
-4 + 2 - (-21)/42
-3/2
(-12)/16 - 13/4
-4
What is the value of ((-100)/(-15) - 6)/((-16)/6)?
-1/4
Evaluate (-7)/28*-6*32/6.
8
Evaluate (-16)/(-4) + 1 + -4.
1
Evaluate (3/(-2))/((-30)/4).
1/5
Evaluate 69 - 64 - (2 - -6).
-3
Evaluate (-2)/(-4) - -9*6/36.
2
Evaluate (-2 + 4 - ... | {
"pile_set_name": "DM Mathematics"
} |
4 dps.
0.0014
Let l(y) = y**3 - 23*y**2 + 21*y + 1. Let g be 1 - -1 - 1/((-4)/80). Let m be l(g). Let a be ((-252)/m)/((-1)/6). Round a to the nearest 10.
-70
Let o(p) = -14986*p**2 - 6*p. Let h = -127 - -126. Let x be o(h). What is x rounded to the nearest 100?
-15000
Let g = -61.941 - -62. Let h = 26.941 + g. Let n ... | {
"pile_set_name": "DM Mathematics"
} |
= -g - 0*g - 4*t + 15. What is the units digit of g?
3
Let w(t) = -4*t**2 - t + 4. Let z(s) = -s**2 + 1. Suppose -25 = 5*l, 0 = -2*r + l - 0 - 7. Let f(h) = r*z(h) + w(h). What is the units digit of f(-2)?
8
Let n = -33 - -39. What is the units digit of n?
6
Suppose 0 = 4*q - 161 - 151. What is the units digit of q?
8
... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 936*w + 49856 = 0.
-152, -82
Factor 6*g**3 - 3651*g**2 - 16566*g + 9195.
3*(g - 613)*(g + 5)*(2*g - 1)
Determine p so that -p**5/8 - 547*p**4/4 + 5823*p**3/2 - 68495*p**2/4 + 173125*p/8 + 83625/2 = 0.
-1115, -1, 5, 12
Factor 5*x**5 - 1015*x**4 + 3000*x**3.
5*x**3*(x - 200)*(x - 3)
Determine v, given that v**3/5 + ... | {
"pile_set_name": "DM Mathematics"
} |
+ t. Let x = -47/2 - -23. Which is the nearest to x? (a) 2/9 (b) k (c) -0.08
c
Suppose 0 = 5*i + 4 + 21. Let s = i - -8. Let v = -1343 - -1347. What is the closest to s in v, 5, 7?
v
Let a = -191 + 191. Suppose a = 4*r - 530 + 614. What is the nearest to -1 in 2/5, r, -0.1?
-0.1
Let h = -0.46 + -5.54. Let l = h - -... | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when (5 + -14)*y/(-3) is divided by 13.
11
Calculate the remainder when 71 is divided by 394/26 - 18/117.
11
Suppose -4*s = -44 - 44. Suppose 4*c + 6 = s. What is the remainder when c is divided by 3?
1
Suppose -w + 3*w - 42 = 0. Suppose -5*m = -6*m + 62. What is the remainder when m is divided ... | {
"pile_set_name": "DM Mathematics"
} |
(3 + -1)). Is 14 a factor of k(b)?
True
Suppose -110 = -3*j + 34. Is j a multiple of 14?
False
Suppose 0 = u - 7 - 1. Suppose 5*m = -2*v + 44, -3*v - 2*m + 52 - u = 0. Suppose -d + 1 = -v. Is d a multiple of 6?
False
Suppose 3*g - 23 = 4*s, -2*g + 3*g + 4*s + 19 = 0. Suppose -q + g = -11. Is q a multiple of 7?
False
L... | {
"pile_set_name": "DM Mathematics"
} |
6466)/3
Factor -5*m**2 - 694632480*m - 24125714113547520.
-5*(m + 69463248)**2
Factor -3*f**3 + 24222*f**2 - 2060643*f - 2084868.
-3*(f - 7988)*(f - 87)*(f + 1)
Factor 5*s**3 + 169597610*s**2 + 678390380*s + 678390360.
5*(s + 2)**2*(s + 33919518)
What is a in 2*a**3/21 + 5500*a**2/21 - 160822*a/21 + 47640 = 0?
-2779, 9... | {
"pile_set_name": "DM Mathematics"
} |
-1
Suppose -29*j + 3*j + 324 = 28*j. Solve -12 = 4*p - 2*n, 0 = -7*p + 9*p - 4*n - j for p.
-5
Let d(m) be the third derivative of 0 + 0*m + 39*m**2 + 1/8*m**4 + 5/2*m**3. Let l be d(-4). Solve 2*o - 5*g = -15, -2*o = -o + l*g - 9 for o.
0
Let a = -124 - -128. Suppose -a*u = -64 - 32. Suppose 4*h = -s + 18, -4*s = 3*h... | {
"pile_set_name": "DM Mathematics"
} |
7
What is the third biggest value in 364, 4/5, 16?
4/5
What is the fifth smallest value in 5.9, -6, -4, -0.5, 140?
140
What is the fourth biggest value in -42/19, 0.01, -2, -3/7?
-42/19
Which is the fourth biggest value? (a) -3 (b) 0.0115 (c) -4 (d) 0 (e) 1/2
a
Which is the second smallest value? (a) -3 (b) 0 (... | {
"pile_set_name": "DM Mathematics"
} |
= 0.
-1, 0, 1
What is x in -2/3*x**3 - 8/3*x**4 - 10/3*x + 8*x**2 - 4/3 = 0?
-2, -1/4, 1
Let f = -8942/19 + 471. Let a = f - 11/133. Determine k, given that -2/7*k**2 + 0*k + a = 0.
-1, 1
Let m(p) be the second derivative of p**6/1620 + p**5/270 + p**4/108 + 5*p**3/6 - 3*p. Let q(c) be the second derivative of m(c). Fa... | {
"pile_set_name": "DM Mathematics"
} |
25740 a multiple of 26?
True
Is 269 a factor of 308812?
True
Does 40 divide 801600?
True
Is 10524164 a multiple of 602?
True
Does 107 divide 567321?
False
Does 866 divide 5648709?
False
Is 311132 a multiple of 4?
True
Is 55 a factor of 152855?
False
Does 12 divide 25992?
True
Does 189 divide 43271?
False
Does 128 divid... | {
"pile_set_name": "DM Mathematics"
} |
1*592.
-592
0.11 * 0.01
0.0011
Work out -1.76 * -1.2.
2.112
What is 30.6 times 2?
61.2
What is the product of 0.11 and 996?
109.56
Multiply 42 and -0.1.
-4.2
Product of 0.1 and -445.1.
-44.51
Product of 0.45 and -2.
-0.9
0.054*7
0.378
What is the product of 0.1 and 33.47?
3.347
Multiply -3 and -1422.
4266
What is -1140... | {
"pile_set_name": "DM Mathematics"
} |
is smaller: -7229825 or -7229817?
-7229825
Which is greater: -12736754 or -12736756?
-12736754
Which is smaller: 7.1497 or 321/2?
7.1497
Which is smaller: -42/5 or 385563?
-42/5
Do -3072288/97 and -31672 have the same value?
False
Which is smaller: 7947747 or 7947741?
7947741
Which is bigger: -1080 or 688/41?
688/41
I... | {
"pile_set_name": "DM Mathematics"
} |
What is -0.1 minus 43978?
-43978.1
-5631 + 11.74
-5619.26
What is -19 + -0.0457?
-19.0457
Put together -0.2 and -19.48.
-19.68
Work out -4 + 4118.
4114
What is 3.6 - 31.9?
-28.3
-2.735+5
2.265
What is -1.97 take away 0.671?
-2.641
What is -0.1547 minus 0.4?
-0.5547
Work out 282186 + 3.
282189
What is 9739 minus 11?
972... | {
"pile_set_name": "DM Mathematics"
} |
is the first derivative of 1007363*r + 890477?
1007363
What is the second derivative of 2*d**5 + 549840*d**4 + 77348*d + 4 wrt d?
40*d**3 + 6598080*d**2
Find the first derivative of -17119*c + 50667 wrt c.
-17119
Find the second derivative of 2893911*d**3 + 1699321*d wrt d.
17363466*d
What is the third derivative of -... | {
"pile_set_name": "DM Mathematics"
} |
Let g(x) = -144*x - 105. Let m be g(-16). Suppose 0 = 4*w - 5*i - 4409, w = -w - 3*i + m. What is the hundreds digit of w?
1
Let p(j) = 175*j + 40. Let v be p(8). Suppose 4*y = -v + 4332. What is the hundreds digit of y?
7
What is the tens digit of 2/(-4) + 1 + (-69430)/(-20)?
7
Let u be (-12)/((-2)/4*-2)*-3. Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
2200005?
45
What is the greatest common factor of 7624 and 514372220?
3812
What is the highest common factor of 12 and 143195187?
3
Calculate the greatest common factor of 33603431 and 7367.
53
What is the highest common divisor of 450 and 81414?
18
Calculate the greatest common factor of 919567 and 220.
11
Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
+ 0 - 2)*(-3308*h + 3053*h - 4427*h).
18728*h
Expand -b**3 - 3*b**3 + 0*b**3 + (0*b - b + 3*b)*(-11*b + 12 - 18 + 27*b)*(b + 1 - 1).
28*b**3 - 12*b**2
Expand (1 - 1 - 2 + (-1 - 1 + 0)*(3 - 3 + 1) + 3 - 2 + 1 - 3 + 0 + 4 - 5 + 4 - 1)*(-2 - 1 + 4)*((6 - 1 - 2)*(7*h - 3*h + 2*h) + h + 25*h + 29*h).
-219*h
Expand (-25 + 1... | {
"pile_set_name": "DM Mathematics"
} |
15. Let f = 78.58 - 79.47. What is the second biggest value in v, f, -1?
f
Let m be 3 + -3 + (-4932)/(-6190). Let q = m + 2/619. Let z = -5674 + 5673.7. Which is the biggest value? (a) -4/9 (b) z (c) q (d) -2
c
Let q = -0.25 + 0.2. Let s(p) = 2*p**2 + 6*p - 1. Let m be s(0). Let k = -0.003 + -0.297. Which is the th... | {
"pile_set_name": "DM Mathematics"
} |
arest to y? (a) 0.1 (b) -1/2 (c) -1
a
Let o = -881/6 - -147. What is the nearest to o in 3, 1, -4?
1
Let v be 1 - (18/10)/1. What is the nearest to -2 in 2, v, 3?
v
Let y be ((-6)/28)/((-5)/(-10)). Let t = 17 + -17. Which is the closest to -0.1? (a) -1 (b) y (c) t
c
Suppose -4*x = 2 + 6. Let p = -49.8 + 50.8. Let... | {
"pile_set_name": "DM Mathematics"
} |
4155?
4
What is the remainder when 16163 is divided by 1815?
1643
Calculate the remainder when 8950 is divided by 57.
1
Calculate the remainder when 33570 is divided by 273.
264
What is the remainder when 17253 is divided by 90?
63
Calculate the remainder when 836 is divided by 64.
4
Calculate the remainder when 118770... | {
"pile_set_name": "DM Mathematics"
} |
2*s**2 + 18*s - 37. Let z(j) = -11*j**3 + 344*j**2 - 33*j + 67. Calculate 9*g(a) + 5*z(a).
-a**3 + 172*a**2 - 3*a + 2
Let k(q) be the third derivative of -q**6/120 + q**5/30 - q**4/12 - q**2 + 49*q + 11. Let r(j) = -6*j**3 + 11*j**2 - 11*j. Calculate -11*k(n) + 2*r(n).
-n**3
Let o(v) = -8*v**2 + 2*v + 4. Let k(r) = r**... | {
"pile_set_name": "DM Mathematics"
} |
8*y + 319 - 285 for r.
2
Solve -2*q = 3*h - 16, -1637*h - q - 5 = -1642*h for h.
2
Solve 68*f + 2*j - 7 = 71*f, 4*f - 2*j + 10 = 0 for f.
-3
Solve -22*q + 21*q = -3*d + 4, -4*q - 16 = -4*d for q.
-4
Solve 5*h + v - 18 = 0, -3*h + 14 = 21*v - 20*v for h.
2
Solve -2*r + 10 = 3*r, 2*w + 14 = 3*r for w.
-4
Solve -684*d + 6... | {
"pile_set_name": "DM Mathematics"
} |
er 11:17 PM?
1:51 AM
What is 279 minutes after 8:11 AM?
12:50 PM
How many minutes are there between 6:18 AM and 4:43 PM?
625
How many minutes are there between 2:52 PM and 10:17 PM?
445
How many minutes are there between 7:27 PM and 7:17 AM?
710
How many minutes are there between 11:13 PM and 7:03 AM?
470
What is 266 m... | {
"pile_set_name": "DM Mathematics"
} |
er?
False
Is 13119 a composite number?
True
Is 469747 prime?
True
Is 4055 composite?
True
Is 21007 a composite number?
True
Is 11197 a prime number?
True
Is 24659 a composite number?
False
Is 393443 composite?
True
Is 24065 prime?
False
Is 23753 prime?
True
Is 159737 a prime number?
True
Is 88106 composite?
True
Is 188... | {
"pile_set_name": "DM Mathematics"
} |
t s?
-24*s
What is the third derivative of -6*w**4 + 3 - 7*w**4 - w**2 - 3 wrt w?
-312*w
Suppose -2*l + 4*d = -22, l = 6*l - 2*d - 23. Find the second derivative of -l*q**4 + 7*q**4 + 6*q - 5*q**4 wrt q.
-12*q**2
Let c(q) = -2*q - 14. Let d(l) = -2*l - 13. Let s(i) = -4*c(i) + 5*d(i). Let w be s(-6). What is the deriva... | {
"pile_set_name": "DM Mathematics"
} |
i - 13 - 5 = -4*g. Suppose 2*y = -i*s + 15, -2*y - s - 2*s = -9. Suppose y = 8*p + 5*p - 117. Is 9 a factor of p?
True
Let a = 2694 + 9979. Does 23 divide a?
True
Let o = 3 - 1. Suppose 0 = 3*w - 3*c - 654, -6*w + 2*w + 880 = -o*c. Is 29 a factor of w?
False
Suppose -49 = -4*l - 37. Let o be (-7 - -5) + 2 + l. Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
(-4*p**2 + 2*p**2 + p**2)*(9*p**3 - 3*p**3 + p**3).
-7*p**5
Expand (2*a + 1 - 1)*(4*a**2 + 4*a**3 - 4*a**2) + 2*a**4 + 2*a**4 - a**4 + (5*a**4 - 2*a**4 + 0*a**4)*(0 - 1 - 1).
5*a**4
Expand (9*k - 2 + 3*k**2 + 7*k - 17*k)*(4*k**2 - 5*k**2 - k**2).
-6*k**4 + 2*k**3 + 4*k**2
Expand (6 + 0 + 11*a - 4)*(-1 + 1 + 2*a).
22*a*... | {
"pile_set_name": "DM Mathematics"
} |
- 14*b**2 - b**2 + (0 + 0 - 1)*(3*b**2 - b**2 - 3*b**2) + 2*b**2 - b**2 - 3*b**2.
-75*b**2
Expand (-17*n - 2*n - 2*n**4 + 10*n)*(-133*n + 765*n + 348*n).
-1960*n**5 - 8820*n**2
Expand (-1451*v**2 - 3675*v**2 + 1246*v**2 - 1254*v**2)*(v - v - v).
5134*v**3
Expand (-439 - 239 + 151*w + 151*w - 300*w)*(0*w**3 - 10*w**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
4469 for j.
-66
Solve 4365*z + 41102 - 29115 = -49123 for z.
-14
Solve -5540*p - 1876*p - 198440 = 6006*p - 3500*p for p.
-20
Solve -49644 = -5694*h + 9240*h for h.
-14
Solve 10*j + 1323 = -25*j + 84*j for j.
27
Solve 601*q - 544*q = 1710 for q.
30
Solve -13279*l = -499556 - 64129 - 113544 for l.
51
Solve -30491*g + 29... | {
"pile_set_name": "DM Mathematics"
} |
760 + q**7/8820 - 5*q**4/8 + 14*q**2. Let a(c) be the second derivative of l(c). Factor a(r).
-2*r**2*(2*r - 1)/7
Let g be ((-328)/(-12) + -1)*3. Let c = 159/2 - g. Factor c + 1/2*a**2 - a.
(a - 1)**2/2
Let b(q) = -2*q**3 + 198*q**2 - 196*q. Let w be b(98). Factor -5/2*i + 2*i**2 + w + 1/2*i**3.
i*(i - 1)*(i + 5)/2
Let... | {
"pile_set_name": "DM Mathematics"
} |
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