text stringlengths 270 8.19k | meta dict |
|---|---|
*6 + sqrt(180)*2*4*-4)*3 + 1.
-6443 + 936*sqrt(5)
Simplify ((4 + sqrt(405) + 0 + -5)*3 - (-2 + sqrt(405)*-1 + -3 + -3))**2.
360*sqrt(5) + 6505
Simplify 3*(0 + 4*(sqrt(1377) + -1) + 2 + -1)*3.
-27 + 324*sqrt(17)
Simplify ((1*sqrt(126))/sqrt(6) - -2*(sqrt(21)*3 - sqrt(21)))/((sqrt(3) + ((sqrt(108)*5 - sqrt(108)) + sqrt(1... | {
"pile_set_name": "DM Mathematics"
} |
hat is the units digit of x?
5
Let q(v) = v**3 - 9*v**2 + 9*v + 7. Let r = -7 + 15. Let s be q(r). Suppose s = c + 2*c. What is the units digit of c?
5
Let s be 10/15 - (-26)/6. Suppose 0 = -d - a + 6, 0*a = s*d - 2*a - 9. Suppose 0*h - d*h + 15 = 0. What is the units digit of h?
5
What is the units digit of (-5200)/(-... | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when 656 is divided by 380?
276
Calculate the remainder when 614 is divided by 123.
122
Calculate the remainder when 1200 is divided by 52.
4
What is the remainder when 422 is divided by 53?
51
What is the remainder when 824 is divided by 51?
8
Calculate the remainder when 228 is divided by 6.
0
Calcu... | {
"pile_set_name": "DM Mathematics"
} |
st value in 47, -48, -171?
-171
What is the third smallest value in -3, 19/3, -33/2, 0.2?
0.2
What is the third smallest value in -5/113, -155, -0.3, -4?
-0.3
What is the fourth biggest value in 1, -4, -3075, -0.5?
-3075
What is the biggest value in 0.1, -0.058, 22?
22
Which is the second biggest value? (a) -41.3 (b)... | {
"pile_set_name": "DM Mathematics"
} |
is the smallest value in b, s, 3?
b
Let g = -0.22 + 0.52. Suppose 2*q + 5*m = 10, -2*q = 5*m - m - 10. Let b = -17/4 + q. What is the third biggest value in g, b, -0.3?
-0.3
Let s be (-4)/(-10)*(-25)/(-15). Let i = 0.09 + 0.61. Let f = i - -0.3. Which is the second biggest value? (a) -3 (b) s (c) f
b
Let f = -49 + 4... | {
"pile_set_name": "DM Mathematics"
} |
)).
-105*c + 3
Let a(k) = k**2. Let w(b) = -4*b**2 - 5*b - 6. Let c(d) = -8*d**2 - 10*d - 13. Let g(n) = -6*c(n) + 13*w(n). What is a(g(y))?
16*y**4 + 40*y**3 + 25*y**2
Let t(j) = -4*j**2 + 1. Let m(x) = -440*x**2. Determine t(m(n)).
-774400*n**4 + 1
Let b(u) = 6475*u. Let a(w) = w. Determine b(a(m)).
6475*m
Let i(h) =... | {
"pile_set_name": "DM Mathematics"
} |
100.
-2000
What is 0.116071 rounded to 2 dps?
0.12
Round 0.000003494081 to seven decimal places.
0.0000035
What is 5.344711 rounded to 2 dps?
5.34
Round -1238.42 to the nearest 100.
-1200
What is 211.3496 rounded to the nearest 100?
200
What is 42244.94 rounded to the nearest 100?
42200
What is -0.000042639 rounded to... | {
"pile_set_name": "DM Mathematics"
} |
rt(468)) + sqrt(468)))**2).
-7644 + sqrt(13)/2
Simplify ((sqrt(50) - sqrt(50)*1)/sqrt(10)*-6)**2*-6 - 6*(sqrt(320) + (sqrt(320) + -2)**2)*-5.
-720*sqrt(5) + 9720
Simplify (-1 + sqrt(72) + -5*(sqrt(72) + -2))**2*-4 + ((2 + sqrt(72))*3 - ((0 + sqrt(72))*-5)**2).
-6726 + 1746*sqrt(2)
Simplify -4*((sqrt(243) - sqrt(243)*-2... | {
"pile_set_name": "DM Mathematics"
} |
of (-469068)/(-35) + (-34)/(-595)?
1
Suppose -3*k + 52*k - 22669 = 1386963. What is the ten thousands digit of k?
2
Let l be 90 - 5*(1 + -2). Let p = -234 + l. Let g = -76 - p. What is the tens digit of g?
6
Let g(t) = -t**2 - 16*t - 306. Let c be g(-11). Let z = c - -1209. What is the units digit of z?
8
Let w = 166 ... | {
"pile_set_name": "DM Mathematics"
} |
arest integer?
19
What is the square root of 69082 to the nearest integer?
263
What is 94 to the power of 1/6, to the nearest integer?
2
What is 14473 to the power of 1/2, to the nearest integer?
120
What is 1281 to the power of 1/4, to the nearest integer?
6
What is the third root of 1943 to the nearest integer?
12
Wh... | {
"pile_set_name": "DM Mathematics"
} |
) = 2*l**3 + 17*l**2 + 15*l - 7. Let i(s) = s**3 + 9*s**2 + 8*s - 4. Let r(g) = 5*i(g) - 3*p(g). What is r(-5)?
1
Suppose 2*c + 5*i = 16, -7*i = 5*c - 3*i - 74. Suppose 6 = 3*k + c. Let m(p) = -4 + p - 4*p + 2 - p**2. Give m(k).
-6
Let n = 2 - -1. Suppose -2*j - 50 = n*j - 3*m, m - 40 = 4*j. Let o = j + 16. Let y(x) = ... | {
"pile_set_name": "DM Mathematics"
} |
0.3.
0.435
Multiply -0.1 and 0.43.
-0.043
Multiply 0.4 and 0.02888.
0.011552
Multiply 4 and 205.
820
3*738
2214
-6*409
-2454
What is the product of 5 and -0.8?
-4
0.5 * -2.58
-1.29
2*117
234
-8.8*0.04
-0.352
Multiply 2170 and -3.
-6510
-0.5 times 13
-6.5
Multiply -0.4 and -6.87.
2.748
-52 * -24
1248
Multiply -2 and -4... | {
"pile_set_name": "DM Mathematics"
} |
-5 = j*v - v for v.
-5
Let a(h) = 5*h - 5. Let b be a(2). Solve -2 + b = -t for t.
-3
Let j(v) = -2*v**3 - 2*v**2 - v. Let h be j(-2). Suppose 2*z - 6*z = 0. Suppose m + z*m = 4. Solve -m*i + h = -10 for i.
5
Let l = 17 - 20. Let g(t) = t**2 - 2*t + 2. Let r be g(3). Let v = l + r. Solve 0 = v*i - 3*i for i.
0
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
/504
Four letters picked without replacement from {i: 9, j: 1, m: 9}. Give prob of sequence mmij.
9/1292
Three letters picked without replacement from wcowaa. Give prob of sequence oww.
1/60
Calculate prob of sequence hv when two letters picked without replacement from {v: 1, z: 2, n: 3, i: 1, h: 3, t: 3}.
1/52
What is... | {
"pile_set_name": "DM Mathematics"
} |
) = q**2. Suppose 2*g - 3*g + 11 = 4*p, -7 = -5*g + 4*p. Let l(b) = -g*b + 3*b - 5*b. Determine l(a(r)).
-5*r**2
Let n(i) = -3*i. Let j(f) = -3*f**2 - 2. Determine j(n(h)).
-27*h**2 - 2
Let d(w) = -11*w. Let p(z) = -10*z. Let b(g) = -6*d(g) + 7*p(g). Let r(h) = -3*h. Determine b(r(u)).
12*u
Let r(t) = 15*t. Let x(k) = ... | {
"pile_set_name": "DM Mathematics"
} |
7*x + 5. Let r(d) = -3*c(d) + i(d). Let h(f) = 3*f + 2. Let z(w) = q*r(w) + 3*h(w). Determine z(-3).
-1
Let o = -65 - -59. Let m(l) = l + 10. What is m(o)?
4
Let x(c) = -3*c**3 + 21*c**2 - 32*c + 10. Let s(b) = -2*b**3 + 14*b**2 - 21*b + 7. Let o(r) = -8*s(r) + 5*x(r). What is o(6)?
6
Let d(m) be the second derivative ... | {
"pile_set_name": "DM Mathematics"
} |
9, 167
What are the prime factors of 16908?
2, 3, 1409
What are the prime factors of 87530?
2, 5, 8753
List the prime factors of 542.
2, 271
List the prime factors of 1391.
13, 107
List the prime factors of 175628.
2, 23, 83
List the prime factors of 5415.
3, 5, 19
What are the prime factors of 375?
3, 5
List the prime... | {
"pile_set_name": "DM Mathematics"
} |
nutes before 10:30 AM?
8:35 AM
What is 376 minutes after 3:11 AM?
9:27 AM
How many minutes are there between 5:25 AM and 7:50 AM?
145
How many minutes are there between 1:09 PM and 4:14 PM?
185
What is 203 minutes before 3:19 AM?
11:56 PM
How many minutes are there between 2:47 AM and 4:44 AM?
117
What is 559 minutes a... | {
"pile_set_name": "DM Mathematics"
} |
pose 5345 = 4*y + 5*i + 1854, i + z = 4*y. Is y prime?
False
Suppose 2*x - 3 = 31. Let l(f) = x*f - 10*f - 4 + 559*f**2 + 119*f**2. Is l(2) prime?
False
Suppose 2*m - 6 = -m, 4 = 2*g - m. Suppose 0 = w - 4*f - 5449, -g*w = -2*f - 3990 - 12407. Is w a composite number?
True
Let v = -1191065 - -2345874. Is v a prime numb... | {
"pile_set_name": "DM Mathematics"
} |
+ -161.442.
-160.942
Add together -71 and 208.
137
Calculate 6 + -987.
-981
Work out -0.5 + 1388.3.
1387.8
What is 0.66 plus 0.17?
0.83
Sum 7230 and -0.091.
7229.909
What is the difference between 0 and 3040?
3040
Add -782 and -1511.
-2293
Add -91790 and -11.
-91801
What is the distance between -1679.6 and 108?
1787.6
... | {
"pile_set_name": "DM Mathematics"
} |
ppose 0 = 3*s - y + 2*y + u, 4 = -2*s - 4*y. Solve -3*d + 5*d - 2*f + 4 = 0, s = -4*d + 5*f - 10 for d.
0
Let r be (20/6)/5 + 8/6. Solve -5*j + 3*y - r + 10 = 0, 3*y = 2*j - 5 for j.
1
Suppose -15*f = -7*f - 16. Solve f*t - 6*t = 5*a, 5*t + 13 = -3*a for t.
-5
Let q(w) = -w**3 - w**2 + w + 5. Suppose 3 - 1 = -g. Let z ... | {
"pile_set_name": "DM Mathematics"
} |
w)) assuming w is positive.
w**(-20738/3055)
Simplify ((v/v**(-2/9))/v)**(-11)*v**(-7/3)*v**8 assuming v is positive.
v**(29/9)
Simplify ((t*t**(2/23)*t)/t*t/(t*(t**31/t)/t*t))**(-17/3) assuming t is positive.
t**(11305/69)
Simplify (g/g**(-3/4)*(g/(g**(-6)*g)*g)/g*g*g*g*g**(1/4)/(g*g*(((g*g**(-1/3))/g)/g)/g))**(-1/17)... | {
"pile_set_name": "DM Mathematics"
} |
49, 66, 85, 106, 129?
154
What comes next: 21, 14, -11, -66, -163, -314, -531, -826?
-1211
What is next in 184, 182, 180?
178
What is the next term in 166, 184, 222, 286, 382, 516?
694
What is the next term in -5, 11, 53, 133, 263, 455?
721
What is next in 183, 288, 393?
498
What comes next: 130, 259, 388, 517?
646
Wha... | {
"pile_set_name": "DM Mathematics"
} |
(w**4)**0 assuming w is positive.
w**190
Simplify (a**(-31)*a**(-44))**16 assuming a is positive.
a**(-1200)
Simplify ((h**(-6)*h**(-6)*h)**(3/11))**2 assuming h is positive.
h**(-6)
Simplify q**(3/20)/q*(q*q*q**(-18))/q*q**(-1/12)*q**(-9/4) assuming q is positive.
q**(-1211/60)
Simplify ((g**(2/29))**(2/23))**(-15/2) ... | {
"pile_set_name": "DM Mathematics"
} |
osest to -114? (a) 29 (b) 5/6 (c) 2/3 (d) 0
d
Which is the closest to 3/46? (a) 3 (b) -0.18 (c) 0.5 (d) -86
b
Which is the closest to 0.1? (a) -9 (b) -47 (c) 135/8 (d) 0 (e) -2
d
Which is the nearest to 4? (a) 0 (b) 4/5 (c) -5 (d) 5/166 (e) -8
b
What is the closest to -1.3 in 3, -1.3, 0, -0.11, 565?
-... | {
"pile_set_name": "DM Mathematics"
} |
22419659
What are the prime factors of 560038644?
2, 3, 11, 599, 787
What are the prime factors of 566566431?
3, 127, 1487051
List the prime factors of 1167437.
331, 3527
What are the prime factors of 49086903?
3, 16362301
What are the prime factors of 1347029?
17, 59, 79
List the prime factors of 403645553.
8761, 460... | {
"pile_set_name": "DM Mathematics"
} |
+ 19.1. What is o rounded to 6 decimal places?
-0.000021
Let q = 2143.076 + -2135. Let w = q - 0.076. Let o = -7.872 + w. Round o to 2 dps.
0.13
Let i = 0.019813710928 - 446.019817530928. Let w = i - -446. What is w rounded to seven dps?
-0.0000038
Let y = -487342.827 + 490438. Let h = y + -3092. What is h rounded to o... | {
"pile_set_name": "DM Mathematics"
} |
ultiple of -1 + 1 - 2*-3 and c.
12
Let u = -2 - -6. Calculate the common denominator of u/32*8/26 and 3/4.
52
Let y = -1201/2 - -589. Suppose -2*u = -6*u + 40. Calculate the common denominator of 1 - ((-32)/u)/(-2) and y.
10
Let d be 0/(-1) - (-1 + 7). What is the common denominator of d/21 - 65/42 and -2 - (-17)/(-10)... | {
"pile_set_name": "DM Mathematics"
} |
24 - 365*l**3 - 85*l**2 + 24*l. What is the second derivative of n(g) wrt g?
-12636*g
What is the third derivative of -3*g**6 + 5 + 257*g**5 - 416*g**2 + 9*g - 439*g**2 + 863*g**2 wrt g?
-360*g**3 + 15420*g**2
Let t = 1254 + -930. What is the second derivative of -58*h - 4 + 6*h - t*h**3 + 85*h**4 + 325*h**3 wrt h?
102... | {
"pile_set_name": "DM Mathematics"
} |
a**3 + 6758*a**2 - 794950*a + 788194 = 0 for a.
1, 121, 3257
Factor r**5/2 + 504*r**4 + 60912*r**3 - 33312384*r**2 + 2184340608*r.
r*(r - 108)**2*(r + 612)**2/2
Factor c**2/4 + 11691*c/2 + 58430.
(c + 10)*(c + 23372)/4
Factor -16*r**3/5 + 26792*r**2 - 66977*r/5 + 8372/5.
-(r - 8372)*(4*r - 1)**2/5
Find w, given that 26... | {
"pile_set_name": "DM Mathematics"
} |
ich is the third smallest value? (a) 0.2 (b) t (c) s
c
Let y(h) = -h**2 + 6*h - 3. Let f be y(5). Let a(g) = g**3 - 3*g**3 + 4 + f*g - 4*g**2 + g**3. Let o be a(-4). What is the third biggest value in 0.4, -2/5, o?
o
Let x be 21/24 - (7 - 6). Let t be (-3)/((-15)/12 + 2). Which is the biggest value? (a) 5 (b) x (... | {
"pile_set_name": "DM Mathematics"
} |
test common factor of 11470 and 682.
62
What is the highest common factor of 138520 and 10?
10
Calculate the highest common divisor of 52809 and 435.
87
What is the greatest common divisor of 1592 and 4975?
199
Calculate the greatest common factor of 3038 and 26138.
14
What is the greatest common divisor of 406 and 994... | {
"pile_set_name": "DM Mathematics"
} |
-28)/(-6))/((-12)/18). Let d(j) = 2*j**2 + 8*j - 10. Let y be d(r). Let l = 70 - y. Is l a multiple of 17?
False
Suppose -3*f - 2*d = -25, 3*f - d = -0*f + 10. Suppose 0*i - i + f = 0. Suppose 5*k + i = 0, 2 = -g + k + 50. Does 12 divide g?
False
Let a(b) = -7*b - 12. Let i be a(-5). Suppose -18*f + i*f - 300 = 0. Is 1... | {
"pile_set_name": "DM Mathematics"
} |
3*g**3 + 6*g**3 + 0*g**3.
12*g**3
Expand -13*h + 14*h**4 + 13*h + (h + 0*h - 4*h)*(-3*h + 3*h + 2*h**3) - h**4 + 2*h**4 + 0*h**4.
9*h**4
Expand (2*h - 2*h - h)*(444 + 187 + 304).
-935*h
Expand (-4*h + 3*h - 3*h)*(-54*h + 2*h - 108*h).
640*h**2
Expand (3207*x**2 + 394*x**2 + 10680*x - 10680*x)*(2*x**2 + 0*x**2 - 3*x**2)... | {
"pile_set_name": "DM Mathematics"
} |
d give p.
7
Express 4*x - 4*x - 2*x**2 + 1 + 2*x**3 in the form b*x**2 + o + z*x**3 + m*x and give b.
-2
Express 35*a - 55*a - 58*a - 43*a as f*a + t and give f.
-121
Rearrange (-18*w + 18*w - 4*w**2)*(-13 + 2*w**2 + 13 + 4*w) to a*w**4 + p*w**3 + q + z*w + n*w**2 and give a.
-8
Express (-3 - 2 + 2)*(-3*y - 1 + y - 1) ... | {
"pile_set_name": "DM Mathematics"
} |
-0.4732407
Multiply -2607148 and 1.
-2607148
Calculate 227516*1553.
353332348
What is -8.24 times -0.14703?
1.2115272
What is 2136265.3 times -1?
-2136265.3
Multiply 83114 and -67.
-5568638
0.184*-4.67
-0.85928
-9731*-279
2714949
Work out 0.0036 * -50340.
-181.224
Work out -8162 * 0.066.
-538.692
-0.051*5909.98
-301.4... | {
"pile_set_name": "DM Mathematics"
} |
9
Let n(h) = h**3 + 15*h**2 + 12*h - 22. Calculate the remainder when 22 is divided by n(-14).
4
Suppose 11 = 4*s + t - 2, 0 = -s + t + 7. Suppose 0 = s*l + 31 - 111. Calculate the remainder when 58 is divided by l.
18
Suppose 0 = 3*r - 4*b + 2*b - 9, -2*r + 6 = 4*b. Let c = 19 + -28. Let i = c + 16. What is the remain... | {
"pile_set_name": "DM Mathematics"
} |
10*c**3 + 345*c**2 + 345*c**2 as y*c + a*c**2 + d + p*c**3 and give a.
-1
Rearrange (0*z**3 - 2*z**3 - 4*z**3)*(-9 + 9 + 3*z) to the form b*z**3 + x*z**4 + g*z + q + c*z**2 and give x.
-18
Express -4*w - 4*w**2 + 4*w + (-13*w + w + 2*w)*(0*w - 4*w + 2*w) in the form s*w**2 + i + j*w and give j.
0
Express 0*a + 5*a - 3*... | {
"pile_set_name": "DM Mathematics"
} |
= -3*z - 40 + 142. Is v a multiple of 13?
True
Suppose t + 0*v = 2*v + 8, v + 40 = 5*t. Suppose t*u + u - 1908 = 0. Is 53 a factor of u?
True
Is ((-28158)/(-21))/2 + (-144)/(-252) a multiple of 13?
False
Is (-143)/2*14/(-7) a multiple of 36?
False
Suppose 4*i + 3765 + 2059 = 2*m, -3*i = 0. Is m a multiple of 104?
True
... | {
"pile_set_name": "DM Mathematics"
} |
4
Determine r so that -2*r**2/9 + 4250*r/9 = 0.
0, 2125
Suppose 4*v**3/7 - 16*v/7 = 0. What is v?
-2, 0, 2
Factor -d**2/2 + 5*d - 9/2.
-(d - 9)*(d - 1)/2
Solve 2*b**2/7 + 16*b/7 + 24/7 = 0 for b.
-6, -2
Factor 3*k**2 + 1332*k + 147852.
3*(k + 222)**2
Solve g**4 + g**3 - 4*g**2 - 4*g = 0 for g.
-2, -1, 0, 2
Factor -4*p*... | {
"pile_set_name": "DM Mathematics"
} |
0:53 PM?
9:12 PM
What is 296 minutes before 6:36 PM?
1:40 PM
How many minutes are there between 8:43 AM and 1:45 PM?
302
What is 62 minutes before 4:47 PM?
3:45 PM
What is 470 minutes after 4:27 AM?
12:17 PM
How many minutes are there between 10:00 AM and 7:41 PM?
581
What is 374 minutes before 7:44 PM?
1:30 PM
How man... | {
"pile_set_name": "DM Mathematics"
} |
5/(-15)*12/285.
285
Calculate the least common multiple of (264/(-154))/((-8)/1484) and 66.
3498
Let k = 97 + -52. Suppose 5*r - 5*a + 4*a + 478 = 0, -2*r = -4*a + 202. Find the common denominator of 125/6 and (-6)/4*r/k.
6
Let v(r) = r**3 - 5*r**2 + 2*r - 4. Let j be v(4). Let u(n) = -n**2 - 13*n + 12. What is the lea... | {
"pile_set_name": "DM Mathematics"
} |
). Let u(j) = j**2 + 3*j + 1. Let o be u(d). Solve -o*g = -g for g.
0
Let b(m) = -m**2 - 2*m - 1. Let x be b(-2). Let o = x - -2. Solve -5 = -3*d + o for d.
2
Suppose -3*p = -7*p + 16. Solve -p = 3*j - j for j.
-2
Suppose -v - 3 = -5. Solve -v = 2*r + 4 for r.
-3
Let i(q) = -q**2 - 12*q - 7. Let s be i(-11). Solve 0 = ... | {
"pile_set_name": "DM Mathematics"
} |
(2057)*1 - sqrt(2057)))) + (-1 + 0 + sqrt(2057) - 6*(sqrt(2057) + -2*sqrt(2057))))**2.
-110*sqrt(17) + 51426
Simplify (-3*2*sqrt(176) + ((3*sqrt(176) - sqrt(176)) + 5)**2)*1 + -5.
56*sqrt(11) + 724
Simplify -2 + -2 + 4 + -4*(4*sqrt(300)*-1 + sqrt(300))**2.
-10800
Simplify 6*(sqrt(117) - ((sqrt(117) - sqrt(117)*-1) + sq... | {
"pile_set_name": "DM Mathematics"
} |
38 and 18.
6
Calculate the greatest common factor of 501 and 244655.
167
Calculate the highest common factor of 4522 and 25802.
266
What is the highest common divisor of 3096181 and 1903?
1903
What is the highest common factor of 51 and 1777299?
51
What is the greatest common divisor of 106632 and 145138?
2962
Calculat... | {
"pile_set_name": "DM Mathematics"
} |
t 1, k, 4 in descending order.
4, k, 1
Suppose -12 = 3*s + 3*s. Put -12, s, 2 in ascending order.
-12, s, 2
Let b = 8 - 9. Sort 4, 1, b in decreasing order.
4, 1, b
Let k be 1 - 1/((-3)/(-3)). Let w = -3 - -1. Put w, k, -1 in decreasing order.
k, -1, w
Suppose 0 = -2*b + b + 5. Suppose 58 = 4*n + 46. Sort b, n, 1 in in... | {
"pile_set_name": "DM Mathematics"
} |
ulate the greatest common divisor of 5 and l.
5
Suppose d - 5*y - 32 = 0, -9 = -2*y - 1. What is the highest common factor of 78 and d?
26
Let k = -2 + -4. Let i be (-40)/(-22) - k/33. What is the greatest common factor of 5 and i?
1
Suppose -3*v + 8*v - 150 = 0. What is the highest common factor of v and 3?
3
Let k be... | {
"pile_set_name": "DM Mathematics"
} |
e third derivative of 0*n + r*n**3 + 0 + 1/8*n**4 - 3*n**2. Let o(g) = g. What is m(o(q))?
3*q
Let r(p) = -p**2. Let g(x) = 13*x**2 - 96. Calculate r(g(l)).
-169*l**4 + 2496*l**2 - 9216
Suppose 13 = 2*r + 3. Let i(t) be the third derivative of t**2 + 0*t + 0*t**4 + 0*t**3 + 0 - 1/30*t**r. Let s(v) = 2*v. Calculate s(i(... | {
"pile_set_name": "DM Mathematics"
} |
ose -2789 = -11*m + 1116. What is the greatest common divisor of m and 5?
5
Suppose 0*y + 2*y = -2, -49 = -4*k + y. Calculate the highest common divisor of 378 and k.
6
Suppose -5*a + 1068 = 3*n, -5*n = 172*a - 174*a + 452. Calculate the highest common divisor of a and 540.
108
Let q(z) = -z + 22. Let s be q(-11). Supp... | {
"pile_set_name": "DM Mathematics"
} |
s the cube root of 1103 to the nearest integer?
10
What is the cube root of 77244 to the nearest integer?
43
What is the fifth root of 18997 to the nearest integer?
7
What is 13687 to the power of 1/2, to the nearest integer?
117
What is the third root of 3593 to the nearest integer?
15
What is 2187 to the power of 1/2... | {
"pile_set_name": "DM Mathematics"
} |
(a) 0 (b) 24 (c) 2 (d) 1/10 (e) -0.5
a
What is the second biggest value in -98/51, -1/5, 2/9?
-1/5
What is the third smallest value in 10, -31, 5, -1/240, 2?
2
Which is the third smallest value? (a) 8.7 (b) 0.07 (c) -1 (d) 0.4 (e) -7
b
What is the second smallest value in 1, -9, 2.94?
1
Which is the biggest v... | {
"pile_set_name": "DM Mathematics"
} |
*4 + y*n**3 + h + g*n and give g.
6
Rearrange (-16468*q - 48 + 16471*q - 14)*(3*q - 6*q - 2*q) - 11 + 2*q**2 + 8 + 6 to g*q + d*q**2 + v and give v.
3
Rearrange (-4 + 1 + 1)*(0 - 5 + 4)*(0*s + s + s + (-2*s - 3 + 3)*(-5 + 4 + 0) - 93 + 93 + 3*s + 164*s - 180 + 180) to b + y*s and give y.
342
Express 1254*w + 4075*w + 6... | {
"pile_set_name": "DM Mathematics"
} |
v(4).
2
Let o(p) = p**3 + 2*p**2 + 2*p + 2. Let g be o(0). Let b = 1 - g. Let a(d) = 8*d**2. Determine a(b).
8
Let q(c) = 20*c - 53. Let d(l) = 7*l - 18. Let z(u) = 17*d(u) - 6*q(u). Let t be z(6). Let a(v) = v**2 - 8*v + 6. Calculate a(t).
-6
Let s(b) = 6*b - 1. Let t(g) be the first derivative of g**4/4 - 7*g**3/3 +... | {
"pile_set_name": "DM Mathematics"
} |
+ 9164274*g**3 - 18328542*g**2 + 9164270*g.
-2*g*(g - 4582135)*(g - 1)**2
Determine p so that -3*p**4/5 + 56643*p**3/5 - 266943942*p**2/5 - 802815456*p - 2677941120 = 0.
-10, -5, 9448
What is z in -3*z**2 - 6933918*z - 34669515 = 0?
-2311301, -5
Let -5*v**4 + 800525*v**3 + 11208205*v**2 + 20014815*v + 9607140 = 0. What... | {
"pile_set_name": "DM Mathematics"
} |
, -78354?
-26181*v + 189
What is the f'th term of 7026, 7006, 6932, 6798, 6598, 6326, 5976?
-f**3 - 21*f**2 + 50*f + 6998
What is the x'th term of -39818, -40020, -40186, -40298, -40338, -40288, -40130?
3*x**3 - 223*x - 39598
What is the h'th term of -307234, -307146, -307048, -306934, -306798, -306634, -306436?
h**3 -... | {
"pile_set_name": "DM Mathematics"
} |
alse
Does 110 divide 6490?
True
Is 91 a factor of 1463?
False
Is 38704 a multiple of 4?
True
Is 8 a factor of 344?
True
Is 36 a multiple of 6?
True
Is 17 a factor of 8926?
False
Is 850 a multiple of 25?
True
Does 20 divide 880?
True
Is 8 a factor of 36552?
True
Is 74 a factor of 52418?
False
Is 1862 a multiple of 133?
... | {
"pile_set_name": "DM Mathematics"
} |
- 1)**3*(o + 6788)/5
Factor -m**2/12 - 248*m/3 - 31565/4.
-(m + 107)*(m + 885)/12
Find p such that 279*p**2 - 1095*p - 84 = 0.
-7/93, 4
Factor 2*y**2 + 3368456*y + 1418311977992.
2*(y + 842114)**2
Find i such that 75*i**5/7 - 143460*i**4/7 + 258057*i**3/7 - 137604*i**2/7 + 3276*i = 0.
0, 2/5, 1, 1911
Find u, given that... | {
"pile_set_name": "DM Mathematics"
} |
*5 + 119249*c**4 + 35853836*c wrt c.
-2280*c**3 + 1430988*c**2
What is the third derivative of 66684*g**4 - 433*g**3 + 802648*g**2 + 2*g?
1600416*g - 2598
Differentiate 370*i**2 - 291*i*o**2 - 3*i*o + 41830375*o**2 - 2 with respect to i.
740*i - 291*o**2 - 3*o
Differentiate -64766443*r**4 - 53428017 with respect to r.
... | {
"pile_set_name": "DM Mathematics"
} |
t is the remainder when 54110 is divided by 89?
87
What is the remainder when 1742 is divided by 550?
92
Calculate the remainder when 95924 is divided by 31936.
116
What is the remainder when 251728 is divided by 26?
22
What is the remainder when 20782 is divided by 378?
370
Calculate the remainder when 7104 is divided... | {
"pile_set_name": "DM Mathematics"
} |
2)*(j + 1)/3
Let r(p) = p**2 - p - 1. Let w(t) = 24*t**2 - 22*t - 24. Let l(z) = -44*r(z) + 2*w(z). Find y, given that l(y) = 0.
-1, 1
Factor -2/7*b**3 + 0 + 2/7*b**2 + 0*b.
-2*b**2*(b - 1)/7
Let g(s) = s - 1. Let t(q) = 1. Let m(y) = g(y) + 4*t(y). Let k be m(-3). Solve 0*o + k + 1/3*o**3 + 1/3*o**4 - 1/3*o**2 - 1/3*... | {
"pile_set_name": "DM Mathematics"
} |
+ 70, -f - 3*f - 5*k - 108 = 0. Let o be (-1)/(-9)*(-27)/(-6)*f. Let q = 1/410 + -14353/1230. Which is smaller: q or o?
q
Suppose 0 = 3*a + 5*w - 61, a - 39 = -a - 3*w. Let c be (13 - 172/a)/(4/(-9)). Which is greater: 74 or c?
74
Let o(f) be the first derivative of f**4/4 - 7*f**3 - 17*f**2/2 - 11*f - 23. Let h be o(2... | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {t: 4, r: 2, n: 2}. What is prob of picking 1 t and 1 r?
2/7
Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {g: 1, i: 1, t: 5, z: 4}.
2/11
What is prob of picking 1 k, 1 c, and 2 w when four letters picked without replacement from {u: 5, k: 1, c: 9, w: ... | {
"pile_set_name": "DM Mathematics"
} |
-l - l - 9, -3*l - y*p - 14 = 0 for l.
-3
Let s be (18/45)/((-1)/(-5)). Solve o = 2*t + 3*t - 16, -8 = s*o - 2*t for o.
-1
Let c = -16 - -20. Solve -k = 2, c*p - 2*k = 3*k - 10 for p.
-5
Suppose 5*w - 3*w - 24 = 0. Suppose 11*l = w*l - 5. Solve -b = -l, 4*n + 5 = -3*b + 4*b for n.
0
Suppose 2*f + 0*f = 0. Solve 4 = -c... | {
"pile_set_name": "DM Mathematics"
} |
89*o**4/20 + 19*o**3/10 + 27*o**2 - 5540*o. Let g(f) = 0. What is f?
-10, -9, -1, 1
Let i be (7*(-1 - 1)*(-6)/(-24))/(153/(-102)). Let -8/3*j + i + 1/3*j**2 = 0. What is j?
1, 7
What is x in 12/7*x**3 + 5427/7*x**2 + 1353/7 + 6768/7*x = 0?
-451, -1, -1/4
Suppose 33 = a - 5*o + o, 5*a + 2*o = 77. Determine f, given tha... | {
"pile_set_name": "DM Mathematics"
} |
92, 135, 178, 221, 264?
43*c + 6
What is the y'th term of 16804, 33609, 50414, 67219, 84024?
16805*y - 1
What is the p'th term of -69, -120, -173, -228?
-p**2 - 48*p - 20
What is the b'th term of -19159, -38319, -57479, -76639, -95799?
-19160*b + 1
What is the k'th term of -2492, -2494, -2496, -2498, -2500, -2502?
-2*k... | {
"pile_set_name": "DM Mathematics"
} |
- 36670*i**2 - 6853816/3*i + 7189057.
-(i - 3)*(i + 193)**3/3
Factor 2/9*v**5 - 2 + 2/3*v**4 - 52/9*v**2 - 6*v - 4/3*v**3.
2*(v - 3)*(v + 1)**3*(v + 3)/9
Let s = -2547 - -2507. Let r be (s/50 - 0) + (-28)/(-30). Solve r*i**2 + 2/3*i + 8/15 = 0.
-4, -1
Let a be 3/(6/10) + 1539/(-342). Factor a*h**2 - 11/2 - 5*h.
(h - 1... | {
"pile_set_name": "DM Mathematics"
} |
3*w - 2 = 2*o, 2*w = -4 - 4. Suppose 0*m - 3*m - 14 = 5*f, -3*f = -5*m - 12. Let x = o + f. List the prime factors of x.
2
Suppose -2 = 5*i + 28. Let c be i/9 - 22/(-6). Suppose -r = c*r - 72. What are the prime factors of r?
2, 3
Let s = -126 + 986. What are the prime factors of s?
2, 5, 43
Suppose 0 = -u + c + 486, -... | {
"pile_set_name": "DM Mathematics"
} |
when four letters picked without replacement from {d: 10, a: 4, g: 6}.
2/1615
What is prob of sequence qqzz when four letters picked without replacement from zzzqzzzzqqqqz?
28/429
What is prob of sequence bbnc when four letters picked without replacement from {h: 4, c: 3, b: 4, n: 7}?
7/2040
What is prob of sequence d... | {
"pile_set_name": "DM Mathematics"
} |
w. Round v to the nearest 100.
200
Let y = -2304.509441 + 2304.5. Round y to four decimal places.
-0.0094
Let v = -3983491 + 5911526. Let j = 1927954.0497 - v. Let y = 81 + j. What is y rounded to two decimal places?
0.05
Let g be 10/4 + 1/2. Suppose -g*p + 48 = 3*p. Let b be 29996 + 1/(2/p). What is b rounded to the ... | {
"pile_set_name": "DM Mathematics"
} |
598
What is -0.1297968 rounded to two decimal places?
-0.13
Round 4.593758 to the nearest integer.
5
Round 0.019075502 to four decimal places.
0.0191
Round -11448.747 to the nearest one hundred.
-11400
Round -1423.0062 to 1 dp.
-1423
What is -0.000201963 rounded to five decimal places?
-0.0002
Round -0.0000027097447 to... | {
"pile_set_name": "DM Mathematics"
} |
mmon denominator of -115/24 and 63/292.
1752
Find the common denominator of -77/24 and -19/454902.
1819608
Calculate the smallest common multiple of 591675 and 2.
1183350
Calculate the least common multiple of 3510 and 990.
38610
What is the smallest common multiple of 39032 and 328?
39032
What is the lowest common mul... | {
"pile_set_name": "DM Mathematics"
} |
v) + v**3 - v**3 + v**3 + (2 + 2 - 3)*(-3*v**3 + 6*v**3 + 2*v**3).
8*v**3
Expand (-3*l**5 + 6*l**3 - 6*l**3)*(1 + 6 - 4) - l**5 - l**5 + l**5 - 7*l**2 + 2*l**5 + 4*l**2 + 2 + 2*l**2.
-8*l**5 - l**2 + 2
Expand (15*z**4 - 69 + 69)*((-4 + 2 + 3)*(0*z + z - 3*z) - 3 - 2*z + 3 - z + 5*z - 5*z + 10*z + 3*z + 5*z).
195*z**5
... | {
"pile_set_name": "DM Mathematics"
} |
+ sqrt(112)) + -1 + 2).
519*sqrt(17)/13 + 6800
Simplify ((sqrt(19) + 1 - sqrt(19)) + -4 + (0 + sqrt(19))*-5 + (-5 + -1*sqrt(171) - sqrt(171) - sqrt(171)) + 4 + 2*sqrt(171))**2.
64*sqrt(19) + 1232
Simplify (-6*(-5 + sqrt(1539)) + (sqrt(1539) - 3*sqrt(1539))**2*6 + -5)*-4.
-147844 + 216*sqrt(19)
Simplify (1*sqrt(228)*-1... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 2*k. Suppose 5*t + 5 - 40 = 0. What is the units digit of j(t)?
9
Let a(u) = 10*u + 15. Let j(t) = 9*t + 14. Let o(w) = 5*a(w) - 6*j(w). What is the units digit of o(-13)?
3
Suppose 326 = -3*l + 7*l + 2*b, 0 = -5*b - 25. What is the units digit of l?
4
Suppose 40 = -7*v + 8*v. What is the tens digit of v?
4
What i... | {
"pile_set_name": "DM Mathematics"
} |
**3 - 2*i**2 - 2*i - 1. Calculate t(-1).
-6
Let o(w) = 11*w - 151. Calculate o(14).
3
Let x(n) = -n**3 + n**2 + 43*n + 6. Give x(7).
13
Let n(a) = -a**3 - 12*a**2 - 13*a - 11. Give n(-11).
11
Let m(t) = t - 6. Give m(9).
3
Let t(w) = -3*w - 1. Calculate t(-2).
5
Let y(m) = -m**3 + 11*m**2 + 10*m + 19. Determine y(12).
... | {
"pile_set_name": "DM Mathematics"
} |
2724820*l - 1293600 = 0.
-24, 1/2, 11, 35
Let -d**5/4 + 251*d**4 - 253999*d**3/4 + 249749*d**2 + 63500*d - 250000 = 0. Calculate d.
-1, 1, 4, 500
Solve 2*c**5 - 194*c**4 + 6618*c**3 - 93886*c**2 + 515620*c - 705600 = 0.
2, 9, 16, 35
Factor 2*s**4 + 61*s**3 + 137*s**2 - 1344*s + 1620.
(s - 2)**2*(s + 27)*(2*s + 15)
Solv... | {
"pile_set_name": "DM Mathematics"
} |
Let j(g) = g + 5. Let h(q) = q**3 + 3*q**2 - 7*q + 10. Let s be h(-5). Let m be j(s). Suppose m*x + 2*x = 4. Solve 4*y + x = -2*t - 6, 5 = -5*t - 5*y for t.
2
Let p be ((-9)/27)/((-2)/234). Suppose u + p - 47 = -3*n, -4 = -u - n. Solve f - 5*i - u = 1, 3*f - 9 = 5*i for f.
3
Let s = 698 - 378. Let c = -317 + s. Solve -... | {
"pile_set_name": "DM Mathematics"
} |
at is the hundreds digit of l?
3
What is the ten thousands digit of -3 + 3 - (48/(-96))/(2/44708)?
1
Let c be 65522/12 + (-23)/138. Suppose 401*a = 408*a - c. What is the tens digit of a?
8
Let c(w) = -6*w**3 - 14*w**2 + 87*w - 166. What is the ten thousands digit of c(-18)?
2
Let s(a) = -5761*a + 637. What is the hund... | {
"pile_set_name": "DM Mathematics"
} |
-5.
-5, -1, 2, h
Let o be (-7 + 9)*(-4)/(-24). Put o, 6, 5, -5 in increasing order.
-5, o, 5, 6
Let b = 0.7 + -0.4. Let s be (-56)/(-1*(-3)/(-6)). Let w be 4/14 - 60/s. Sort 1, b, w.
w, b, 1
Suppose 3*k - 201 = 3*w, 5*w + 3*k + 444 = 125. Put -5, 0, w, 4 in descending order.
4, 0, -5, w
Let h = -13.7 - -13.9. Let p = -... | {
"pile_set_name": "DM Mathematics"
} |
13, 71
Let p(f) = f**2 + 4*f. Let c be p(-5). Suppose -x = -2*j - j - 148, -3*x + 464 = -c*j. List the prime factors of x.
163
Let z(t) = -14*t + 3. Let r be z(3). Let a = r - -55. Suppose 2*g + a = 4*g - 3*d, g = -d + 8. List the prime factors of g.
2
Let z be (1293/(-3) - 2)*1. Let q = -202 - z. List the prime facto... | {
"pile_set_name": "DM Mathematics"
} |
u be g(h). Sort y, u, -8 in descending order.
y, u, -8
Let r = 4/3 + -5/6. Let o = 0.321 + 1.679. Sort r, o, -7 in descending order.
o, r, -7
Let k = -968 - -946. Put -2, k, -5 in decreasing order.
-2, -5, k
Let m(q) = -3*q**2 - 16*q - 6. Let t be m(-7). Let i = -36 - t. Let v(r) = -r - 8. Let a be v(-5). Put a, 1, i ... | {
"pile_set_name": "DM Mathematics"
} |
t is -238326 plus -0.14?
-238326.14
Add -0.91 and 10861282.
10861281.09
What is 40976 take away 258080?
-217104
Subtract 839 from -3.01136.
-842.01136
Sum 6 and -3.60702.
2.39298
-819 + 7002644
7001825
What is -2 plus 134046576.6?
134046574.6
Calculate -29956.3127 - 0.2.
-29956.5127
0.009 - 176707.3
-176707.291
What is... | {
"pile_set_name": "DM Mathematics"
} |
8 = 0. Let k be x/3 + (-7)/21. Let p(d) = 4*d + 83 - k. What is p(j(b))?
8*b
Let n(z) = -37*z**2. Let k(m) = -2555*m**2. Calculate k(n(r)).
-3497795*r**4
Let w(a) = 54*a. Let q(v) = -2192*v. Calculate q(w(t)).
-118368*t
Let a(x) be the third derivative of x**4/12 - 94*x**2. Let j(f) be the first derivative of -5*f**3/3... | {
"pile_set_name": "DM Mathematics"
} |
8*w**2 + 3*w**2 - 3*w**2).
108*w**4
Expand (-3 - 3 + 10)*(-9 + 9 + 4*n)*(-2 + 2 + 2).
32*n
Expand (-272 + 272 - 2*s + (4*s - 4*s + s)*(0 + 1 - 3))*(4*s - 1 + 1).
-16*s**2
Expand m**2 + 4*m**5 - m**2 + (4 - 1 - 4)*(-3*m**4 + 3*m**4 - 2*m**5) + 61*m**5 + 47*m**5 - 164*m**3 - 107*m**5.
7*m**5 - 164*m**3
Expand 346 - 346 +... | {
"pile_set_name": "DM Mathematics"
} |
-2 for g.
-5
Solve -5*g - 25 = j - 9, -2*j - 8 = 4*g for g.
-4
Solve -5*l - 37 = 2*k - 9, k + l = -8 for k.
-4
Solve 3*m + 2*o = -7, -9 = m + 5*o - 3*o for m.
1
Solve 3*o - 3*f = -12, -3*f = 4*o + 6 + 3 for o.
-3
Solve 5*u = 3*a + u - 7, -4 = u for a.
-3
Solve 3*s = 6, 292*s - 297*s = -4*n - 18 for n.
-2
Solve 0 = -j ... | {
"pile_set_name": "DM Mathematics"
} |
1063663 to the nearest integer?
102
What is 44126 to the power of 1/2, to the nearest integer?
210
What is the third root of 4501055 to the nearest integer?
165
What is the ninth root of 8604625 to the nearest integer?
6
What is the cube root of 50281 to the nearest integer?
37
What is the fourth root of 3210536 to the... | {
"pile_set_name": "DM Mathematics"
} |
195577.1999994. Let f = j - -2197797. Let y = 0.8 + f. What is y rounded to seven decimal places?
-0.0000006
Let g = 184.99851 - 185. Round g to 4 decimal places.
-0.0015
Let u = -2550440961.00000124 + 2550440895. Let a = u + 66. Round a to seven dps.
-0.0000012
Let w = 1488.992149 - 2262.991836. Let r = 774 + w. What ... | {
"pile_set_name": "DM Mathematics"
} |
.
5
Let d(i) = i**2 - 15*i + 3. Let n be d(15). Suppose 0 = -2*p - 6, -n*v + 2*p = -2*v - 36. Calculate the remainder when 115 is divided by v.
25
Let g be (0 + -3 - 0) + 5. Let u = g - 2. Suppose u = -3*s + x - 2*x + 16, 2*s - 15 = -5*x. What is the remainder when 14 is divided by s?
4
Let j = 107 + -103. Suppose -5*q... | {
"pile_set_name": "DM Mathematics"
} |
8.8
How many nanograms are there in 7.152911ug?
7152.911
How many centuries are there in 9.980026 decades?
0.9980026
How many millilitres are there in 7/2 of a litre?
3500
What is fourty-three halves of a micrometer in nanometers?
21500
What is twenty-three sevenths of a week in minutes?
33120
Convert 622280.2 litres t... | {
"pile_set_name": "DM Mathematics"
} |
ig as -14/438639?
False
Which is smaller: 167512/43 or 3896?
167512/43
Is -589952 smaller than -589950?
True
Is 56632 greater than or equal to 56649?
False
Do -1 and 2/1805473 have different values?
True
Which is bigger: -13/369 or -1/2?
-13/369
Which is bigger: -3/667 or 111?
111
Which is smaller: -167501 or -167499?
... | {
"pile_set_name": "DM Mathematics"
} |
k, -4/3, w?
w
Let c = -9.25 + -3.75. What is the nearest to 0.3 in -1/3, 3, c, 0?
0
Let n = -3 - -3.3. Let z = -11/16 + 153/176. Let j be (-8)/(-9) + (-12)/54. Which is the closest to n? (a) 1/4 (b) j (c) z
a
Let z = -12571/35 - -1793/5. Let u = 73.8 - 74. Which is the closest to u? (a) 1/5 (b) 3/2 (c) z
c
Let r ... | {
"pile_set_name": "DM Mathematics"
} |
*(-4*a**2 + 1 + 0 - 2*a**2) as o*a**2 + l + t*a**3 + k*a and give t.
48
Express (0*n**2 + 8*n**2 + 10*n**2)*(2*n**2 + 3*n**2 - n**2) + 4*n**4 - n**4 - n**4 in the form f*n + i*n**3 + z*n**2 + q + v*n**4 and give v.
74
Express (-6 - 11*o + 6)*(9 - 13 - 24) as b*o + z and give b.
308
Express (3*c - 2*c + 0*c)*(-1 - 1 + 1... | {
"pile_set_name": "DM Mathematics"
} |
t l = 285 - b. What is l rounded to the nearest 10?
170
Let r(a) = 62251*a - 50247*a - 16 + 140621*a + 112373*a. Let s be r(-8). What is s rounded to the nearest 1000000?
-2000000
Let i be 99/21 + 4/14. Suppose 0 = 4*c + 2*o - 269 - 183, c - 104 = -i*o. What is c rounded to the nearest 100?
100
Let u = -3 - -37. Let k ... | {
"pile_set_name": "DM Mathematics"
} |
1.3. Let x = n - -20. Let i = x + -26.000042. What is i rounded to five dps?
-0.00004
Let o be (-3)/3 - -3 - -32. Let q be -5*(o/(-10) - -3). Suppose 5*p = -y + q, 3*y - 2*p = -p + 70. Round y to the nearest 10.
20
Let i = -6 - -6.04. Let d = i - 0.02. Let m = d - 0.82. Round m to 0 decimal places.
-1
Let f(p) = 1914*p... | {
"pile_set_name": "DM Mathematics"
} |
16, what is -2b9 + 31f5?
2f3c
In base 8, what is 41 + 3152015?
3152056
In base 9, what is -1 - 41650830?
-41650831
In base 11, what is 9a3 - -117182?
118075
In base 11, what is -5a9343a8 - -12?
-5a934396
In base 11, what is 5785318 + 2?
578531a
In base 14, what is -9bd0b3 - -bc?
-9bcdd5
In base 10, what is 113888892 - ... | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from iyybuiuiyyyuubiuuid.
1/171
Two letters picked without replacement from mmjddmhmdm. Give prob of picking 2 d.
1/15
Calculate prob of picking 2 m when two letters picked without replacement from {e: 1, p: 3, v: 5, l: 1, m: 3}.
1/26
Four letters picked without replacement from ugur... | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of o(p) wrt p.
12*p**2 + 36*p
What is the second derivative of -10*z**2 - 2 + 54*z**3 - 2*z - 24*z**3 - 15*z - 15*z wrt z?
180*z - 20
Let r = 11 - 12. Let m be 2/(-2)*2/r. What is the third derivative of -6*s**m - s**3 + 0*s**2 + 0*s**3 wrt s?
-6
Suppose -17 + 32 = 3*f. Find the third derivative o... | {
"pile_set_name": "DM Mathematics"
} |
Let z(b) = -2*b. What is s(z(c))?
6*c
Let k(o) = -o + 14*o + 0*o. Let y(l) = l**2. Let d(v) = -5*v**2 + 226. Let w(t) = d(t) + 4*y(t). Let j(p) be the first derivative of w(p). Determine j(k(f)).
-26*f
Let a(y) = -y. Let t(p) be the second derivative of -437*p**3/6 + p**2/2 + 3377*p. Calculate a(t(m)).
437*m - 1
Let h(... | {
"pile_set_name": "DM Mathematics"
} |
(v) = -622*v**2 + 933*v - 2799. Let s(k) = k**2 - k + 3. What is -933*s(x) - t(x)?
-311*x**2
Let o(h) = -h + 5. Let k(m) = -m + 11. Suppose 0 = 2*a - p + 11, 21 = -4*a + 3*p - 2*p. Determine a*o(v) + 2*k(v).
3*v - 3
Let k(q) = -3*q - 2 - 1 - 4*q**2 - 3*q. Suppose d = 5*d - 2*m - 16, -3*d = 5*m - 38. Let o(c) = 11*c**2 ... | {
"pile_set_name": "DM Mathematics"
} |
and 550835?
205
What is the greatest common factor of 28 and 99035552?
28
Calculate the greatest common divisor of 66708 and 127174878.
1962
What is the highest common divisor of 2675090 and 78518?
1826
Calculate the highest common divisor of 1316 and 17008642.
658
Calculate the greatest common factor of 1449436252 and... | {
"pile_set_name": "DM Mathematics"
} |
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