text stringlengths 270 8.19k | meta dict |
|---|---|
e remainder when 52/(l - 2 - -5) is divided by 7?
5
Let q be (-1344)/(-11) + (-22)/121. Suppose -q = -2*i + 58. Calculate the remainder when i is divided by 31.
28
Suppose 5*o - 8 = -3. Let i be (1/(-2))/(o/22). Let f = i + 30. What is the remainder when f is divided by 5?
4
Let b be (-171)/(-18) + 6/4. Let t = -11 + b... | {
"pile_set_name": "DM Mathematics"
} |
ive j(-3).
3
Let q(l) = -2*l + 4. Determine q(5).
-6
Let z(h) = -4*h**3 + h**2 + h - 2. What is z(1)?
-4
Let r(v) = -v**2 + 2*v + 10. What is r(0)?
10
Let h(n) = 10*n + 1. What is h(-1)?
-9
Let f(m) = m + 5. Determine f(-8).
-3
Let h(x) = -x**2 + 7*x + 88. Calculate h(0).
88
Let b(z) = 17*z + 12. Calculate b(0).
12
Let... | {
"pile_set_name": "DM Mathematics"
} |
b**2
Collect the terms in -13*q**2 + 1335 + 9*q**2 + 11*q**2.
7*q**2 + 1335
Collect the terms in -1784*h - 1495*h - 1417*h + 1784*h - 3*h.
-2915*h
Collect the terms in -359382166*k + 539*k**2 + 359382166*k.
539*k**2
Collect the terms in -9*n - 14*n + 21*n - 34*n + 14*n - 17*n.
-39*n
Collect the terms in -12466*v**3 - 1... | {
"pile_set_name": "DM Mathematics"
} |
+ 3. Let g(v) = -p*v + 3 + v + 1. Let h be -1 - (4 + -3 + 2). What is g(h)?
8
Let z(c) be the second derivative of 1/3*c**3 + 5/2*c**2 - c + 0. Let j = 64 + -68. Calculate z(j).
-3
Let k = -10 - -15. Let g(v) = -v + 7. What is g(k)?
2
Let i = -10 - -12. Let w(b) be the second derivative of -b**5/20 + b**4/12 + 2*b**3/3... | {
"pile_set_name": "DM Mathematics"
} |
and give n.
0
Express -99 + 252*z**2 - 142*z**2 - 7*z**3 - 108*z**2 in the form j*z**3 + i*z**2 + l + t*z and give t.
0
Express 7 - 4*d**3 + 9 - 6*d**4 - 2*d**4 - 26 + 7 in the form t*d**4 + y*d**3 + w*d**2 + u*d + x and give x.
-3
Express -1055 + 1512 - 2*n**2 - 727 as w*n**2 + g + z*n and give g.
-270
Rearrange 3*v**... | {
"pile_set_name": "DM Mathematics"
} |
-20. List the prime factors of o.
3
Let i(z) = -z**2 + 27*z + 2646. What are the prime factors of i(0)?
2, 3, 7
Let x = 1030 - 601. List the prime factors of x.
3, 11, 13
Suppose 29*h = 21*h + 2968. What are the prime factors of h?
7, 53
Let k be -3 + (2 - 1) - -6. Suppose 5*l - 35 = 2*r, 5*l = -k*r + 6 - 1. Suppose -l... | {
"pile_set_name": "DM Mathematics"
} |
4/3 + 15. Factor p(i).
4*i**3*(i - 1)/3
Let d be 4*(92/(-16) - -2). Let a = d + 18. Factor 4/5*z + 6/5*z**2 + 1/5 + 4/5*z**a + 1/5*z**4.
(z + 1)**4/5
Suppose 0 = -3*j - 5*q + 31, -4*j + 21 = -j + 3*q. Let a(h) be the first derivative of 0*h + 2/3*h**j + 1 - 5/6*h**4 - 2/3*h**3. Factor a(m).
-2*m*(m + 1)*(5*m - 2)/3
Let... | {
"pile_set_name": "DM Mathematics"
} |
663)**2/3
Determine a, given that -a**5/8 - 7*a**4/4 - 7*a**3/4 + 53*a**2/2 + 15*a/8 - 99/4 = 0.
-11, -6, -1, 1, 3
Factor -v**3 + 356*v**2 - 31684*v.
-v*(v - 178)**2
Factor -16*r**4 + 76*r**3 + 20*r**2.
-4*r**2*(r - 5)*(4*r + 1)
Factor j**2/4 - 131*j/2 + 17161/4.
(j - 131)**2/4
Factor -4*d**5/7 - 32*d**4/7 + 76*d**3/7... | {
"pile_set_name": "DM Mathematics"
} |
+ 6254. Give j(-184).
1286
Let z(a) = 15*a**2 - 1406*a - 4247. Give z(-3).
106
Let b(n) = -11*n**3 - 402*n**2 - 202*n - 64. Determine b(-36).
-568
Let r(k) = -1037*k + 237336. Calculate r(229).
-137
Let p(m) = -14*m**2 - 2628*m + 20634. Give p(8).
-1286
Let w(c) = -31169*c - 31099. What is w(-1)?
70
Let m(i) = -3920*i... | {
"pile_set_name": "DM Mathematics"
} |
losest to 1.8 in d, -5, r?
r
Let h = -1524 - -1528. Which is the nearest to h? (a) -0.7 (b) -5 (c) 0.2
c
Let i = 1.24 + -0.24. Let p(y) = y**3 - 3*y**2 - 8*y - 5. Let m be p(5). Which is the closest to i? (a) -0.6 (b) m (c) 2
c
Let n = -3356 + 3356.3. Let g = -0.44 - -12.44. Which is the nearest to -0.3? (a) -4 ... | {
"pile_set_name": "DM Mathematics"
} |
when 1065881 is divided by 106584?
41
Calculate the remainder when 177185 is divided by 371.
218
Calculate the remainder when 11034025 is divided by 3678003.
16
What is the remainder when 14329497 is divided by 14329481?
16
What is the remainder when 8294 is divided by 1376?
38
Calculate the remainder when 1087926 is ... | {
"pile_set_name": "DM Mathematics"
} |
et u be ((-1)/3)/(1/(-3)). Calculate u*l(v) - 6*y(v).
-2*v**3 + v**2 + 2*v
Let y(v) = -v**3 - 6*v**2 - 2*v - 5. Suppose -2*k = -k - b + 17, 33 = -k + 5*b. Let a(d) = 2*d**3 + 13*d**2 + 4*d + 11. Determine k*y(s) - 6*a(s).
s**3 + 2*s - 1
Let a(g) = g + 3. Let u(r) = 2*r + 5*r - 5*r + 7. Let s be ((-28)/16)/(-1*(-6)/(-24... | {
"pile_set_name": "DM Mathematics"
} |
= -5*w**3 - 209*w + 8*w**2 + 825*w - 3 - 204*w - 213*w - 204*w. Let f(g) = -g**3 + g**2 - g. Calculate -4*f(y) + u(y).
-y**3 + 4*y**2 - y - 3
Let n(z) = 1967*z - 1941*z + 8 - 12 + 4. Let u(k) = -9*k. Give -6*n(d) - 20*u(d).
24*d
Let o(s) = 6*s**3 - 9*s**2 + 56. Let n(d) = -9*d**3 + 14*d**2 - 83. Determine 5*n(v) + 8*o... | {
"pile_set_name": "DM Mathematics"
} |
205*b - 1
What is the h'th term of -57, -116, -175, -234?
-59*h + 2
What is the l'th term of 8, -6, -48, -130, -264, -462, -736?
-2*l**3 - 2*l**2 + 6*l + 6
What is the h'th term of -12, 25, 124, 315, 628, 1093?
5*h**3 + h**2 - h - 17
What is the c'th term of -3375, -6752, -10129, -13506, -16883?
-3377*c + 2
What is the... | {
"pile_set_name": "DM Mathematics"
} |
at is the n'th term of -8336, -24278, -50852, -88064, -135920, -194426?
-n**3 - 5310*n**2 - 5*n - 3020
What is the x'th term of -103207, -207216, -311223, -415228, -519231?
x**2 - 104012*x + 804
What is the h'th term of 20384, 40886, 61498, 82220?
55*h**2 + 20337*h - 8
What is the b'th term of -3115050, -3115067, -3115... | {
"pile_set_name": "DM Mathematics"
} |
t 0 + 1/10*n**5 - 3/5*n - 11/10*n**2 + 3/10*n**4 - 3/10*n**3 = 0.
-3, -1, 0, 2
Let n(x) = -6*x**3 - 2 + 2*x + 0*x**3 + 3*x**3 - x**2. Let r(d) = -d**3 + d - 1. Let z(h) = -3*n(h) + 6*r(h). Factor z(m).
3*m**2*(m + 1)
Let u = 208 - 1870/9. Suppose -4*c = -47*s + 46*s + 11, c = -2. What is a in u*a - 4/9*a**2 + 0 + 2/9*a... | {
"pile_set_name": "DM Mathematics"
} |
- 15*f(z). Calculate the common denominator of -95/12 and w(-7).
12
Suppose -2*y = -3*j + 9 + 19, -3*y = 3*j - 3. Calculate the common denominator of -93/34 and 82/(-16) - 12/j.
136
Suppose 70*q - 69*q - 64 = 0. Calculate the lowest common multiple of q and 32.
64
Let c = 4369/282 - -1/141. Let j be 2/(-4 - 8844/(-2212... | {
"pile_set_name": "DM Mathematics"
} |
= 8922 + -196249/22. Find the common denominator of v and p.
198
Let t(r) = -r**3 + 9*r**2 - 5*r - 10. Suppose 76 = 4*b - 4. Calculate the lowest common multiple of t(8) and b.
140
Suppose -142*j = -145*j + 3. Suppose 8 = 5*z - z. Let c(a) = 4*a + 1. What is the least common multiple of j and c(z)?
9
Find the common de... | {
"pile_set_name": "DM Mathematics"
} |
9*h - 57*h = 164*h - 7440 for h.
31
Solve 13041 = 207*h + 1656*h for h.
7
Solve -1271 = 58*l + 41*l - 56*l + 1051 for l.
-54
Solve -691*c = 1443*c - 96030 for c.
45
Solve 48924 = -35*o + 49554 for o.
18
Solve -1053*y - 2327*y + 266*y = -33874 - 9722 for y.
14
Solve 283*c - 5*c + 168*c - 55300 = 51*c for c.
140
Solve 0 ... | {
"pile_set_name": "DM Mathematics"
} |
-4 (b) 1/7 (c) w
c
Let v = -17.56283 - 2.43717. Let z = 597/7 + -85. What is the closest to 1/4 in v, z, -0.2?
z
Let c = -369 - -365.77. Let g = c - -0.23. Let n be ((-12)/42)/(12/(-14)). What is the closest to n in -0.3, g, -5/2?
-0.3
Let u = -1051.4 + 1051. Let h = -3.95 - 0.05. Let x be (-1)/(-3) - 0/(-1). Which ... | {
"pile_set_name": "DM Mathematics"
} |
t y(c) = -r*c - c + 2*c - 2. Determine 2*u(q) + 3*y(q).
-2*q
Let q(o) be the second derivative of o**4/12 - o**3/6 + 6*o. Let r(s) = -3*s**2 + 2*s. Give -4*q(x) - 2*r(x).
2*x**2
Let h = 1 + 4. Let s = 13 + -7. Let x(o) = 7*o**2 + 2*o + 3. Let v(u) = -8*u**2 - 3*u**2 - 2*u - 4 + 3*u**2. Calculate h*v(r) + s*x(r).
2*r**2... | {
"pile_set_name": "DM Mathematics"
} |
ulate 4426085 divided by 5.
885217
Divide 109776 by -130.
-54888/65
Calculate 727461 divided by 3.
242487
45689542 divided by -22844771
-2
5682852 divided by 378
15034
Calculate 6274 divided by -2266.
-3137/1133
Calculate -28 divided by -877581.
28/877581
Divide 5001003 by -3409.
-1467
Calculate 423015 divided by 582.
... | {
"pile_set_name": "DM Mathematics"
} |
-7, -0.1, 2/5, 5, 12
Sort 3, 1, -3 in increasing order.
-3, 1, 3
Put -2, 5, 15, -1 in decreasing order.
15, 5, -1, -2
Put 3, 0, -56, -3 in ascending order.
-56, -3, 0, 3
Sort 1, -4, 13.
-4, 1, 13
Sort 0.029, -6, 3.
-6, 0.029, 3
Sort 2, 25, -8, 13 in increasing order.
-8, 2, 13, 25
Sort -2/9, 4, -5, 0.09, -3 in decreas... | {
"pile_set_name": "DM Mathematics"
} |
) + 5*t(c). Differentiate z(a) wrt a.
-27*a**2
Suppose 2 = -4*d + 6. What is the first derivative of 2*a**4 - d + 0*a**4 + 0 wrt a?
8*a**3
Let l(q) be the first derivative of -q**3/3 - 6*q**2 - 5. Find the second derivative of l(k) wrt k.
-2
Suppose 4*r + r = -4*q + 6, 0 = r + 2*q. Find the third derivative of -3*l**5 ... | {
"pile_set_name": "DM Mathematics"
} |
) in base 6?
-553
Convert -105a2 (base 11) to base 14.
-5850
66 (base 7) to base 2
110000
-230202 (base 4) to base 9
-3816
Convert -6756 (base 9) to base 12.
-2a80
What is 1b2 (base 16) in base 4?
12302
What is 65 (base 13) in base 11?
76
Convert -2003 (base 16) to base 10.
-8195
Convert 1480 (base 16) to base 12.
3054... | {
"pile_set_name": "DM Mathematics"
} |
late the lowest common multiple of 4860 and 36.
4860
Calculate the common denominator of 82/15 and -38/22045.
66135
Calculate the common denominator of 43/5920 and -81/20720.
41440
Calculate the common denominator of -3/481960 and -44/12049.
481960
What is the least common multiple of 8330 and 560?
66640
Calculate the ... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 188416.
2, 23
List the prime factors of 2792359.
67, 71, 587
What are the prime factors of 2241753?
3, 19, 67, 587
List the prime factors of 5129791.
19, 37, 7297
List the prime factors of 1240899.
3, 11, 31, 1213
What are the prime factors of 284172?
2, 3, 7, 17, 199
What are the prime factors of... | {
"pile_set_name": "DM Mathematics"
} |
+ t - 3*t + (0*t - 4*t + 2*t)*(0 + 0 - 1))*(-18 - 4*t + 18).
-4*t**2
Expand 5*w**3 - 6*w**3 + 0*w**3 + (-5*w**2 + w**2 + 5*w**2)*(-9*w + 0*w + 32*w).
22*w**3
Expand (-2*a**2 + 3*a**2 + a**2)*(56*a - 31*a + 2 - a**2 - 27*a).
-2*a**4 - 4*a**3 + 4*a**2
Expand ((h - h + 3*h)*(-3*h + 4*h + 0*h) + 6*h**2 - h**2 - 3*h**2 + 0*... | {
"pile_set_name": "DM Mathematics"
} |
quence jqqb when four letters picked without replacement from {q: 3, w: 2, b: 1, j: 1}?
1/140
What is prob of sequence mmm when three letters picked without replacement from mmmmhmhmhmmhhhhhhmm?
40/323
What is prob of sequence kgg when three letters picked without replacement from fgffyjkggukugj?
1/91
Calculate prob of... | {
"pile_set_name": "DM Mathematics"
} |
7. Calculate the lowest common multiple of c and u.
144
Let a = -257540455807/2268 - -113553991. Let y be ((-1)/8)/((-81)/(-2)). Let j = a - y. Calculate the common denominator of 47/11 and j.
77
Let t = 494 + -493. Suppose k - 2*j = -5*j + 48, 4*k - j - 218 = 0. What is the least common multiple of t and k?
54
Suppos... | {
"pile_set_name": "DM Mathematics"
} |
4
What is the value of (3/12)/(68/(-16))?
-1/17
Evaluate ((18/(-5))/3)/(6/(-20)).
4
What is 1/(-15)*(-80)/(-24)?
-2/9
Evaluate (56/42)/((-4)/(-1)).
1/3
(1/3)/((-34)/(-510))
5
What is the value of ((-1)/(-1)*-2)/(-4)?
1/2
(4/12)/((-10)/90)
-3
Evaluate 2/12*-1*2.
-1/3
Calculate (4/8)/(1/1)*12.
6
What is 1/(-5)*(-14)/(-35... | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from vmmmmjvmmjvrvmjyr?
7/85
Three letters picked without replacement from ffewfxwxexewf. Give prob of picking 1 x and 2 w.
9/286
Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {p: 1, t: 1, y: 1, o: 1, w: 1}.
1/10
Four letters picked without replacement from acwrrr... | {
"pile_set_name": "DM Mathematics"
} |
*v**2 + 14*v - 17. Let c(g) = 3*h(g) - 7*j(g). Give c(6).
-1
Let q(t) = 3*t - 41. Let z be q(15). Let i(p) = -p + 3. Calculate i(z).
-1
Let o(g) = -g. Let w be o(-6). Suppose -z + w = z. Suppose -f - 5*m + 26 = 0, m + 2 = 3*f - z*m. Let b(v) = -v**2 + 6*v - 1. What is b(f)?
-1
Let h(c) = -c**3 - 4*c**2 + 2*c - 4. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
(3/3 - 2)*-2. Suppose 5*w = t + 83. Suppose 0 = 4*c - c + 4*y - 35, -c = 4*y - w. Does 4 divide c?
False
Let z = 23 + -23. Suppose z*u + 5*u = 50. Does 5 divide u?
True
Suppose 0*i = -2*i + 2, -5*w - 4*i + 289 = 0. Does 19 divide w?
True
Suppose -4*x + x = d + 61, -4*d = -x - 3. Let b = x - -41. Suppose -2*h + b = -20.... | {
"pile_set_name": "DM Mathematics"
} |
*k**2/11 + 57763350*k/11 + 12636000/11 = 0 for k.
-1040, -27, -15/4, -1/4
Factor 3*i**3 - 1739100*i**2 - 6956436*i - 6956448.
3*(i - 579704)*(i + 2)**2
Find w, given that 4*w**4 - 10020*w**3 + 440376*w**2 + 5960800*w + 5510400 = 0.
-10, -1, 56, 2460
Factor -33*o**2 + 22611*o + 68130.
-3*(o + 3)*(11*o - 7570)
Suppose r*... | {
"pile_set_name": "DM Mathematics"
} |
t l = -6/263 + -245/789. What is the third biggest value in 39, l, -1?
-1
Let h = -344 - -343.8. What is the third biggest value in -45, h, -3, 0.5?
-3
Let w be ((-2)/20)/((-4)/30). Suppose 0 = 5*b + 3*c - 19 - 38, -2*b = -4*c - 2. What is the second smallest value in w, b, -0.4?
w
Let p = 166 + -148. What is the secon... | {
"pile_set_name": "DM Mathematics"
} |
hat is 285 + -1?
284
In base 10, what is 516 + 19?
535
In base 13, what is -a - -2b4?
2a7
In base 6, what is 41101 + -2?
41055
In base 9, what is -2 + 368?
366
In base 11, what is -1 + -6a0?
-6a1
In base 4, what is 1 - -13?
20
In base 10, what is 13 - -35?
48
In base 4, what is 1 + -23?
-22
In base 13, what is 3 - 135?... | {
"pile_set_name": "DM Mathematics"
} |
= f. What is the highest common factor of 27 and c?
9
Let a(l) = 89*l - 88*l + 81 - 21 + l**3 + l**2. Let o be a(0). What is the highest common divisor of 24 and o?
12
Let q = 50 + -290. Let l = q + 316. Calculate the greatest common divisor of 19 and l.
19
Let m = -128 + 176. Let r be 1935/20 - 12/16. Suppose -39*x + ... | {
"pile_set_name": "DM Mathematics"
} |
t**3 + 2*t**2 - 10*t - 1. Let g(l) = -l**4 + l**3 - l**2 + 3*l + 1. Let s(m) = 5*g(m) + x(m). Factor s(b).
-(b - 1)*(b + 1)**2*(b + 4)
Let 21*x + 1/2*x**2 + 41/2 = 0. What is x?
-41, -1
Suppose -4/7*q + 2/7*q**2 - 6/7 = 0. What is q?
-1, 3
Let m = -4/69 + 31/138. Solve 0 + 1/6*h**3 - 1/6*h**2 - 1/6*h + m*h**4 = 0.
-1, ... | {
"pile_set_name": "DM Mathematics"
} |
0 = 5*n - 6*u + u - 20, -n + 45 = -6*n + u + 53 for n.
1
Solve -2*q - 104 = -3*x, -4*q - 7653*x = -7656*x + 202 for q.
-49
Solve -6*v - 1 = -7*s + 3*s - 7*v - 9, 0 = v + 4 for s.
-1
Solve 4*g = -147*b + 106*b - 77, g + b + 28 = -2*g for g.
-9
Solve 43 = 4128*v - 4126*v + 4*c + c, 4*v = -4*c + 44 for v.
4
Solve -3*m + ... | {
"pile_set_name": "DM Mathematics"
} |
-29)/5. Let d(r) = -2 + t - 4 - 1 - 7*r. Let z be d(-2). What is the greatest common factor of 48 and z?
12
Suppose 20*s - 15*s = -980. Let j be ((-29)/4)/(7/s). What is the greatest common divisor of j and 29?
29
Let r be 176/80*120/6. Calculate the highest common divisor of 154 and r.
22
Let l(w) = 8*w + 18. Let d be... | {
"pile_set_name": "DM Mathematics"
} |
be (-70)/(-15) + -5 + 0/(-5). Sort -0.2, q, k, 0 in increasing order.
k, -0.2, 0, q
Let n(q) = q**3 - 16*q**2 + 28*q - 5. Let r be n(14). Put -4, -1, 5, r in increasing order.
r, -4, -1, 5
Let l = 1181 + -1181. Sort -4, l, 2, 3 in descending order.
3, 2, l, -4
Let q = -10 + 55. Let b be (2/(-5))/(9/q). Let w = 98 + -9... | {
"pile_set_name": "DM Mathematics"
} |
15403800?
True
Does 33 divide 12824097?
True
Is 2223650608 a multiple of 1719?
False
Is 124599150 a multiple of 177?
True
Is 120 a factor of 1176679920?
True
Is 226 a factor of 12294400?
True
Does 25 divide 133790536?
False
Does 1489 divide 438467527?
False
Is 89570557 a multiple of 26?
False
Is 635419324 a multiple of... | {
"pile_set_name": "DM Mathematics"
} |
and l.
20
Suppose 6*a - 2*a = 20, -4*u + 2*a - 34 = 0. Let c = 9 + u. What is the lowest common multiple of (24/72)/((-3)/(-45)) and c?
15
Suppose -b + 5 = 13. Let a = 28351/8 - 3532. Calculate the common denominator of b/(-48) - (-149)/12 and a.
24
Find the common denominator of (-51*(-2 - (-60)/24))/9 and (17/(-28))/... | {
"pile_set_name": "DM Mathematics"
} |
+ 3803*i + 4*v + 30 for i.
5
Solve 2*z - 3*g - 89 + 129 = 0, 0 = 2*z + 2*g - 10 for z.
-5
Solve -4*j + 44 = 2*n, 0 = -4*n + 3*j + 362 - 307 for n.
16
Solve 576*a - 572*a - y = -4, 0 = 5*a - 5*y + 20 for a.
0
Solve m - 37 + 24 = -o, -2*o - 28 = -4*m for o.
4
Solve 3*d + 62 = -11*w, -d + 3*w = -568 + 542 for d.
5
Solve ... | {
"pile_set_name": "DM Mathematics"
} |
.20716926
Subtract -274 from -405394454413.
-405394454139
Subtract -1459.6 from 1656039873.
1656041332.6
What is 13756166 less than -3890565?
-17646731
What is -0.4 take away 448714.3261767?
-448714.7261767
Work out 27.686 + 241543.
241570.686
What is -5329831239 - 225?
-5329831464
Put together -15342407495463 and 6.
-... | {
"pile_set_name": "DM Mathematics"
} |
u**6/360 + 4*u**3/3 + 4. Let o(z) be the third derivative of p(z). Determine l(o(g)).
5*g**4
Let w(k) = -k**2. Let l(j) = -67*j - 7. Calculate w(l(c)).
-4489*c**2 - 938*c - 49
Let q(r) = 6*r + 5. Let c(i) = -1 + 0*i + 4 - 4 - i. Let u(l) = 10*c(l) + 2*q(l). Let g(v) = -3*v. Give g(u(d)).
-6*d
Let c(l) be the third deri... | {
"pile_set_name": "DM Mathematics"
} |
295277*s**2 + s wrt s?
40678968
Find the second derivative of -109*h**5 + 1549*h**4 + 353880*h wrt h.
-2180*h**3 + 18588*h**2
Find the second derivative of -862198*l**2 + 6*l - 9681 wrt l.
-1724396
What is the derivative of -127269*b*i**3 + 210*b + 2*i**4 - i + 3 wrt i?
-381807*b*i**2 + 8*i**3 - 1
Find the third deriva... | {
"pile_set_name": "DM Mathematics"
} |
1222*d
Let k(x) = -2*x. Let i(b) = 37*b - 3*b + 46*b + 20*b. Give i(k(o)).
-200*o
Let o(m) = -5*m + 2. Let t(u) = 6117*u**2. Calculate o(t(k)).
-30585*k**2 + 2
Let o(x) = 4*x**2 + 6. Let l(v) = -13*v + 9. Let r(a) = 3*a - 2. Let s(g) = 2*l(g) + 9*r(g). What is o(s(p))?
4*p**2 + 6
Let q(w) = 1317*w**2. Let b(n) = -42*n*... | {
"pile_set_name": "DM Mathematics"
} |
+ 1 + 4*b - 6.
-5*(b - 1)**2*(b + 1)
Let z(c) be the first derivative of 7*c**3/3 - 4*c**2 + c + 1. Suppose 70 = -4*p + 2. Let u(a) = 20*a**2 - 23*a + 3. Let v(w) = p*z(w) + 6*u(w). Factor v(h).
(h - 1)**2
Let r(k) be the third derivative of -k**5/30 - k**4/3 - k**3 - k**2. Factor r(v).
-2*(v + 1)*(v + 3)
Let k(c) = 3... | {
"pile_set_name": "DM Mathematics"
} |
0*t = 189*t - 2514 - 2820 for t.
6
Solve 49*h = 224*h + 2450 for h.
-14
Solve 0 = -437*p + 428*p - 11 - 25 for p.
-4
Solve -8*l + 876 = -12*l - 69*l for l.
-12
Solve 546*x - 1134 = 627*x for x.
-14
Solve 2922 - 3162 = -10*g for g.
24
Solve -99746 = -19*s - 99575 for s.
9
Solve -19945*d - 139 = -19993*d - 571 for d.
-9
... | {
"pile_set_name": "DM Mathematics"
} |
*u - 10*x**3 - 5905*x**2 + x + 3 wrt u.
x**3 - 3*x**2 + 5*x + 3553
Find the third derivative of -6286*b**4 + 4*b**3 + 486956*b**2 wrt b.
-150864*b + 24
Find the third derivative of 3224502*t**4 - 2*t**3 + 2292*t**2 + 134*t - 6.
77388048*t - 12
Find the second derivative of -458486*k*l**3 + 2*k*l - 2242*k + 5*l**3 - 4*l... | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of s?
2, 3
Let c = -73 + 76. Suppose 5*n + 54 = -0*n + 3*w, 0 = -5*n + 4*w - 52. List the prime factors of (c/(-4))/(1/n).
3
Let o(h) = h**3 + 12*h**2 - 14*h + 6. Let x be o(-13). Let r = 34 - x. List the prime factors of r.
3, 5
Let q = -63 + 15. Let w = -28 - q. What are the prime factors of w?
2, 5
L... | {
"pile_set_name": "DM Mathematics"
} |
r?
-24*r
Let a = 13 + -11. Let k(s) be the second derivative of 0*s**5 + 1/3*s**4 + 0*s**a - 1/10*s**6 + 0*s**3 + 0 - s. Find the third derivative of k(o) wrt o.
-72*o
Find the third derivative of 3*r**4 - 3*r**4 - 3*r**5 - 3*r**2 - 17*r**2 wrt r.
-180*r**2
Find the third derivative of -2*l**2 + 0*l**4 + 0*l**4 + 7*l*... | {
"pile_set_name": "DM Mathematics"
} |
when four letters picked without replacement from deididdxxaexxadedxx.
15/646
Two letters picked without replacement from nnnoonngnbg. Give prob of picking 1 g and 1 b.
2/55
Calculate prob of picking 1 g, 1 l, and 1 f when three letters picked without replacement from wgglf.
1/5
Two letters picked without replacement ... | {
"pile_set_name": "DM Mathematics"
} |
2 + 2*u - 2. Let b be a(-2). Suppose 0 = b*l - 3*l + 16. What is the remainder when l is divided by 5?
1
Suppose 141 = 4*f - 27. Calculate the remainder when f is divided by 11.
9
Let b(v) = 3*v**3 + v - 1. Let u be b(1). Suppose -u*s = -s - 8. What is the remainder when 10 is divided by s?
2
Let f(s) = 3*s - 2. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
- 2*t + 9, 2*v + 1 = -0*t + 3*t for v.
-5
Solve -q + 2*h - 2 = 0, -2*q = -h - 5 + 3 for q.
2
Solve -3*y - 3 = 5*n + 28, -5 = -n + 5*y for n.
-5
Solve 14*n - 15*n + 2*x - 17 = 0, -4*n - 14 = x for n.
-5
Solve 2*n + 4 = -z, -6*n + 3*n = -2*z - 8 for z.
-4
Solve 5*u - s + 0*s = 29, 3*s + 12 = 0 for u.
5
Solve 5*d + 15 + ... | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from {t: 2, o: 4}.
1/15
Three letters picked without replacement from ljil. What is prob of sequence lji?
1/12
Three letters picked without replacement from {a: 2, m: 6}. Give prob of sequence mam.
5/28
Four letters picked without replacement from ggpgggzgegpz. Give prob of sequence epeg.
0
Two letters p... | {
"pile_set_name": "DM Mathematics"
} |
/11 - 288*b/11 = 0. What is b?
0, 2, 12
Factor 2*h**3/9 - 8*h/3 + 32/9.
2*(h - 2)**2*(h + 4)/9
Solve -16*p**2/9 + 22*p/9 + 20/9 = 0.
-5/8, 2
Factor -5*f**5 - 1635*f**4 - 178215*f**3 - 6475145*f**2.
-5*f**2*(f + 109)**3
Factor 5*w**4 - 385*w**3 + 7205*w**2 + 8385*w - 15210.
5*(w - 39)**2*(w - 1)*(w + 2)
Factor -m**2/2 +... | {
"pile_set_name": "DM Mathematics"
} |
equal?
True
Let k = 28 + -28. Is k > -42?
True
Let t = 11 + -14. Let j be (-16)/(-66)*t/2. Is j greater than 1?
False
Suppose b = -182 + 55. Is -128 > b?
False
Let j = 157/5 + -31. Is j greater than -0.2?
True
Suppose -4*o = -16*o - 168. Which is smaller: o or -51/4?
o
Let s(k) = -k**3 - 4*k**2 - 2. Let w be s(-4). Let... | {
"pile_set_name": "DM Mathematics"
} |
What is the third biggest value in 71, -1313, 1/2?
-1313
What is the third biggest value in -2/15, -189, -13, 0.4, -0.3?
-0.3
Which is the second smallest value? (a) -2 (b) 17.97 (c) -3 (d) 1
a
What is the fourth biggest value in -193, -0.001, -1, -0.3?
-193
Which is the second biggest value? (a) 40 (b) 15/2 (c)... | {
"pile_set_name": "DM Mathematics"
} |
+ 0)*(2*s - 2*s - 6*s))*(-4 + 1 + 7).
720*s
Expand (1124 - 2244 + 1120 - 5851*c)*(-8*c**4 + c**4 + 2*c**4 + 3).
29255*c**5 - 17553*c
Expand (4 + 0 + 0)*(125 + 46 + 100)*(0 + 0 - 2*l).
-2168*l
Expand -2572*d**4 + 17*d**5 + 2572*d**4 + (2*d**2 - 2*d**2 - 2*d**4)*(17 - 17 + 22*d).
-27*d**5
Expand (-2*q + 2 - 2)*(-q**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
r: 31 or m?
m
Let g(b) = -72*b - 7. Let m be g(2). Is -151 at least as big as m?
True
Let r = 329 - 330.22. Is r equal to 2/7?
False
Suppose -2*f + 10 = -0, 2*f - 30 = 5*j. Let u = j - 1. Let l(c) = -c**3 + 10*c**2 - 9*c - 4. Let z be l(9). Which is smaller: u or z?
u
Let q = 262 - 335. Which is smaller: q or -2?
q
Let... | {
"pile_set_name": "DM Mathematics"
} |
prime factors of z.
2, 7, 821
Let o be 4/(-2)*(25 - 26). Let s be (-1)/(o/(4 - 8)). What are the prime factors of (s - 51)*1/(-1)?
7
Let d(x) = -x**3 + 6*x**2 + 8*x - 2. Let c be d(7). Suppose c*i = 3 + 12. Suppose i*k + 2*k - 83 = -s, 3*s - 3*k = 303. What are the prime factors of s?
2, 7
List the prime factors of 154... | {
"pile_set_name": "DM Mathematics"
} |
0011011011011111101 (base 2) to base 5.
244122312
2218484 (base 10) to base 14
41a6b2
What is 167297 (base 11) in base 14?
6a32a
1101000110111 (base 2) to base 15
1ec6
Convert -187b4cb (base 13) to base 7.
-125121006
-1118428 (base 9) to base 4
-2103101201
What is 1000000011101010110 (base 2) in base 11?
170400
Convert... | {
"pile_set_name": "DM Mathematics"
} |
rime number?
False
Is 3026448179 a composite number?
True
Is 2471093119 a prime number?
False
Is 164378835611 prime?
False
Is 176980127 a prime number?
False
Is 5048138398 prime?
False
Is 11625585871 composite?
False
Is 4751268233 prime?
True
Is 158838227 composite?
True
Is 418119587 prime?
False
Is 9687100331 composit... | {
"pile_set_name": "DM Mathematics"
} |
)?
3*v**3 + 103*v**2
Let b(v) = -21*v + 40. Let n(z) = -26*z + 39. What is -5*b(a) + 4*n(a)?
a - 44
Let t(n) = 4*n**2 + 3*n - 5. Let h(y) = -9*y**2 - 6*y + 11. Let r = -81 + 78. Let v be -3 - 0/(r/12*-4). Give v*h(k) - 7*t(k).
-k**2 - 3*k + 2
Let b(u) = u**3 + u**2 - 2*u - 1. Let h(a) = 2*a**2 - 5*a - 1. Let i(l) = 4*b... | {
"pile_set_name": "DM Mathematics"
} |
14/13 in decreasing order.
3, 54/53, -14/13, -4
Sort -9, -3, -55, 5, -2, 4 in increasing order.
-55, -9, -3, -2, 4, 5
Put 3, 4, -2, -1628 in descending order.
4, 3, -2, -1628
Put -2, 473, -1497 in descending order.
473, -2, -1497
Sort 4, 0.01, -3, -4/27 in descending order.
4, 0.01, -4/27, -3
Sort -1, 76, 2/17, 0.2, -2... | {
"pile_set_name": "DM Mathematics"
} |
.
4*h**4
Expand (-2 + 2 - 1 + (-1 - 2 + 5)*(-2 + 0 + 3))*(-7*t + 3*t - t).
-5*t
Expand (f**3 + 2*f**3 + 3*f**3)*(5*f - 2*f - 5*f) + 3*f**4 - 2*f**4 + 0*f**4.
-11*f**4
Expand (2 - 2 + 5)*(-2 + 3 - 3)*(1 + 2*w - 1).
-20*w
Expand (-256 - 23*v + 256)*(2*v**2 - 4*v**2 + v**2).
23*v**3
Expand (-2*v + 0*v - v)*(-1 + 0 + 2) - ... | {
"pile_set_name": "DM Mathematics"
} |
11. Let g be 4/14 - 229/(-7). Suppose -g + 9 = 3*x. What is the units digit of c(x)?
3
Suppose -2*i + c = -3*c - 32, 48 = 3*i - 5*c. What is the tens digit of i?
1
Let k be (8/10)/((-1)/(-20)). Suppose k = a + 3*a. Suppose 3*r - g - 9 = -0*g, -a*r = 5*g - 12. What is the units digit of r?
3
Let k(a) = -a**3 - 3*a**2 +... | {
"pile_set_name": "DM Mathematics"
} |
9 - 26. Does 7 divide 2 - (1 - h) - -2?
False
Suppose 3*g - 7*g = -12. Suppose -14*x + g*x = -1870. Is 34 a factor of x?
True
Let b(c) = 0*c + 5*c - 2*c + 2*c**2 - 2*c - 8. Does 47 divide b(12)?
False
Let f = -18 + 164. Suppose 0 = -6*t + 386 - f. Is 22 a factor of t?
False
Suppose 4*h = 234 + 198. Let n = -56 + h. Is... | {
"pile_set_name": "DM Mathematics"
} |
ommon denominator of 51/2 and x.
6
Let u = 3092 - 3068. What is the least common multiple of 693 and u?
5544
What is the common denominator of 53/98 and (-417)/30 - (-1 - 4)?
490
Let u = -23 - -35. Let r = -91373/87060 + -2/4353. Calculate the common denominator of r and (1 - 9/u)*94.
20
Suppose -213 = -5*d - 68. Let n... | {
"pile_set_name": "DM Mathematics"
} |
ithout replacement from {y: 2, n: 2, c: 4, t: 1}.
1/126
Calculate prob of sequence xpkk when four letters picked without replacement from {k: 2, p: 1, x: 2}.
1/30
Four letters picked without replacement from kkukkxxxkkxkixkfexku. What is prob of sequence fxxx?
1/969
Calculate prob of sequence ugg when three letters pic... | {
"pile_set_name": "DM Mathematics"
} |
many minutes are there between 5:20 PM and 7:04 PM?
104
What is 387 minutes before 7:07 AM?
12:40 AM
How many minutes are there between 7:31 AM and 5:43 PM?
612
How many minutes are there between 10:12 PM and 10:31 PM?
19
How many minutes are there between 1:54 PM and 12:05 AM?
611
What is 492 minutes after 7:03 PM?
3:... | {
"pile_set_name": "DM Mathematics"
} |
7 (b) 5 (c) -7
b
What is the fourth biggest value in 2/3, 0.5, 4, 0?
0
Which is the fourth biggest value? (a) 5 (b) 9/4 (c) 1 (d) -2/7
d
Which is the second biggest value? (a) 3 (b) -1 (c) -0.2 (d) 52/5
a
What is the biggest value in 3/7, 2/9, -6, 0.1, -1/3?
3/7
Which is the second smallest value? (a) 8/3 ... | {
"pile_set_name": "DM Mathematics"
} |
ogether 23 and -75231969410.
-75231969387
1473656680.07 + -0.5
1473656679.57
What is 9.5465664301 less than 19?
9.4534335699
What is -22 less than -7567845747?
-7567845725
What is 1063.337579239 + 0.5?
1063.837579239
-226 - 7.46309889647
-233.46309889647
Subtract 126.82 from -616.044971.
-742.864971
Subtract -263888364... | {
"pile_set_name": "DM Mathematics"
} |
39, -5335880, -6403121?
-1067241*c + 325
What is the h'th term of -862661, -862747, -862833, -862919?
-86*h - 862575
What is the c'th term of 191631, 191519, 191407, 191295, 191183, 191071?
-112*c + 191743
What is the x'th term of -6002008, -12004016, -18006020, -24008020, -30010016, -36012008?
2*x**2 - 6002014*x + 4
W... | {
"pile_set_name": "DM Mathematics"
} |
ds digit of 9226303?
3
What is the ten thousands digit of 237633?
3
What is the ten thousands digit of 1742925?
4
What is the tens digit of 10661917?
1
What is the hundreds digit of 48089?
0
What is the millions digit of 1895811?
1
What is the ten thousands digit of 11754656?
5
What is the hundreds digit of 54142?
1
Wh... | {
"pile_set_name": "DM Mathematics"
} |
derivative of 1/12*t**4 + k*t + 0*t**3 + 0 + 0*t**2. Let o(b) = -b. What is h(o(g))?
g**2
Let m(h) = h. Let y(d) = 5*d**2 - 4*d + 8. Let u(r) = -6*r**2 + 5*r - 9. Let i(n) = -4*u(n) - 5*y(n). Let z(t) be the first derivative of i(t). What is m(z(b))?
-2*b
Let j(d) = 8*d. Let x(c) = 33*c**2. What is j(x(p))?
264*p**2
L... | {
"pile_set_name": "DM Mathematics"
} |
w - 2 = 4*x, 0 = -2*x + m*w - 0 + 6 for x.
-1
Let d(i) be the second derivative of i**3/6 + 23*i**2/2 - 5*i. Let l be d(-13). Let y(x) = x + 2. Let p be y(3). Solve -5*s - l = -3*s, s = p*c for c.
-1
Let v(d) = -121 + 127 + 4*d - 5*d. Let k be v(4). Let b be (3 + 1 + 2 + 0)*2. Solve -f - b = -4*n, f + 3*f = -k*n + 6 fo... | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from iiioo. What is prob of sequence oiio?
1/10
Three letters picked without replacement from blblbbbb. What is prob of sequence bbb?
5/14
Calculate prob of sequence zffz when four letters picked without replacement from {f: 8, z: 2}.
1/45
Four letters picked without replacement from ... | {
"pile_set_name": "DM Mathematics"
} |
-128759787
What is -1884184 minus 217?
-1884401
What is the difference between -1871 and -101328.1?
99457.1
What is the distance between -4.178939813 and -0.4?
3.778939813
-1.9 - 523707982
-523707983.9
Total of -340.4783 and -4.
-344.4783
-3+28103323539
28103323536
Sum -199 and 24279972.
24279773
What is -12 take away... | {
"pile_set_name": "DM Mathematics"
} |
the closest to 0? (a) m (b) n (c) -0.2
c
Let t = 2 + -2. Let d be 6/4 + -3 + 1. Which is the closest to d? (a) -0.2 (b) 2 (c) t
a
Let x = 83 + -83. Which is the nearest to x? (a) -0.8 (b) 4 (c) 3
a
Let a = -0.01 + -0.39. What is the nearest to 1/4 in 0, a, -0.1?
0
Let i = 51 + -52. Which is the nearest to i? ... | {
"pile_set_name": "DM Mathematics"
} |
y 105.
104
Calculate the remainder when 68 is divided by 24.
20
Calculate the remainder when 273 is divided by 58.
41
What is the remainder when 234 is divided by 60?
54
What is the remainder when 148 is divided by 50?
48
What is the remainder when 1091 is divided by 84?
83
Calculate the remainder when 201 is divided b... | {
"pile_set_name": "DM Mathematics"
} |
78615*o**4 - 342 + 67908*o**4 - 595254*o**3 + 3966*o = 0. What is o?
-1/221, 1, 3
Let s(l) be the first derivative of l**5/15 - 25*l**4/3 + 1250*l**3/3 - 11*l**2/2 - 3*l - 1. Let o(p) be the second derivative of s(p). Factor o(u).
4*(u - 25)**2
Suppose 9*o = 19*o - 30. Factor 2*f + f - 2*f**2 + 2*f + 6*f + o*f.
-2*f*(f... | {
"pile_set_name": "DM Mathematics"
} |
+ 6*o + 36 = y. Calculate the highest common factor of o and 72.
9
Suppose 45857 = 69*p - 24178. What is the greatest common factor of 70 and p?
35
Let q(a) = -a**3 - 57*a**2 + 58*a + 106. Let o be q(-58). Calculate the highest common divisor of 3074 and o.
106
Suppose -16*h = -485 + 37. What is the highest common fac... | {
"pile_set_name": "DM Mathematics"
} |
7800*b**3 + 480*b**2 + 120*b
Find the third derivative of 37*a**6*t + a**5*t + 2*a**3*t + 2*a**2*t + 2*a*t - 4*t wrt a.
4440*a**3*t + 60*a**2*t + 12*t
What is the second derivative of -5*i**4 - 11*i**3 + i**2 + 273*i + 7?
-60*i**2 - 66*i + 2
Find the second derivative of 104*a*q**4 + a*q + 2*a + q**4 + 4*q**2 - 3668*q ... | {
"pile_set_name": "DM Mathematics"
} |
(n*(n/(n/(n**(-2/7)*n))*n)/n))*n*n)**25 assuming n is positive.
n**(-6227/70)
Simplify ((m*m**(6/25))/(m/(m**(-6/13)*m)))**(8/7) assuming m is positive.
m**(2024/2275)
Simplify (p*p/(p/p**(-7)*p*p)*p/(p*(p*p**(-14))/p))/(p*((p*p**1)/p)/p)**15 assuming p is positive.
p**(-9)
Simplify (v**(-8)/v**(-2/9)*(v*v**(-4)/v*v)/(... | {
"pile_set_name": "DM Mathematics"
} |
uppose i - 5*i = b + 28984, 4*b = 3*i - k. Round b to the nearest ten thousand.
-30000
Let a = 5.98 + 0.02. Let h = 5.9967 - a. What is h rounded to 3 decimal places?
-0.003
Let d = 129842295 + -129842288.9999947. Let u = d + -6. Round u to 6 dps.
0.000005
Let v = -86.059 + 86. What is v rounded to two dps?
-0.06
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
46?
-130*o + 6896
What is the r'th term of 3162, 3616, 4372, 5430, 6790, 8452?
151*r**2 + r + 3010
What is the q'th term of -110, -168, -226, -284, -342?
-58*q - 52
What is the x'th term of 10215, 20444, 30699, 40992, 51335?
2*x**3 + x**2 + 10212*x
What is the y'th term of -843, -2012, -3181?
-1169*y + 326
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
2) + 2
Simplify -1*((sqrt(7) + -1)*2)**2 - ((sqrt(7) + sqrt(343) + 1 + sqrt(343) + sqrt(343))**2 - (1*sqrt(7) + -4)).
-3425 - 35*sqrt(7)
Simplify (2*(sqrt(88) - 1*sqrt(88)) - (sqrt(88) + ((-1*sqrt(88) + sqrt(88))*5 - sqrt(88))))/((3*sqrt(3200))/sqrt(4)).
0
Simplify (3*5*sqrt(320)*2 + (2 + sqrt(320) + 0)*-4)**2.
-3328*s... | {
"pile_set_name": "DM Mathematics"
} |
o + 1 = 8*o. What is the smallest common multiple of o and d?
3
Let s(c) = 12*c. Let r be s(2). Suppose k = -5*o + 8, -k - 3*o - r = -4*k. Let g = 4130 + -4123. What is the smallest common multiple of k and g?
56
What is the common denominator of -51/10 and 20/4 + (-45)/1040*118?
520
Let o = -16065 + 642549/40. Find th... | {
"pile_set_name": "DM Mathematics"
} |
b - 9 = 2*b + k for b.
4
Solve -3*r + 4*t + 21 = 0, -5*r + 2342 = 3*t + 2336 for r.
3
Solve 323*p = 2*o + 319*p - 6, -5*o = 3*p + 37 for o.
-5
Solve 1858*t - 1857*t = -5*b + 38, -4*t + 26 = 2*b for t.
3
Solve 19*o + 2*t + 80 = 0, 827 - 837 = 3*o - t for o.
-4
Solve -h - 19 = 3*q, -6*q + 10 = -2*h + 32 for q.
-5
Solve -... | {
"pile_set_name": "DM Mathematics"
} |
) = -2*m(h) - 5*s(h). Find the third derivative of p(g) wrt g.
-1986
Let u = -432 + 434. Let s(w) be the second derivative of -2*w + w**u + 0 - 5/6*w**3. What is the derivative of s(n) wrt n?
-5
Let g be (7 - (-8)/(-2))*1. Let l = 3 + g. What is the third derivative of -5*t**2 - t**6 + 6*t**5 - l*t**5 wrt t?
-120*t**3
... | {
"pile_set_name": "DM Mathematics"
} |
mber?
True
Is 21*123*2/18 composite?
True
Let z be (-2)/2 + 1/1. Suppose -o - 4*a + 27 = -33, z = 3*o - a - 154. Suppose o = 2*v + 2*v. Is v prime?
True
Suppose 3*c = 16 + 2. Suppose c*n = n + 395. Is n a prime number?
True
Let j be (-1)/(-3*(-3)/45). Let m(a) = -a**2 - 7*a - 3. Is m(j) a prime number?
True
Let l = -54... | {
"pile_set_name": "DM Mathematics"
} |
9327299*h**2/2 - 169467538128*h + 6193536 = 0. What is h?
1/13681, 2032
Factor 27*d**2/4 - 67189*d/2 - 4977/4.
(d - 4977)*(27*d + 1)/4
Suppose -4*f**4 - 1198*f**3 - 111993*f**2/4 - 55099*f/4 - 3425/2 = 0. What is f?
-274, -25, -1/4
Factor -2*t**3 + 9646*t**2 - 307136*t + 2452992.
-2*(t - 4791)*(t - 16)**2
Let -4*u**3 -... | {
"pile_set_name": "DM Mathematics"
} |
/2. Give i(j).
-4
Let c(i) = -i**3 - 5*i**2 + 3*i + 4. Suppose -3*b = -2*b + 5. Let p be -2 + (-1 + b)/(-3). Suppose -22 = -z - 5*g, -4*z - 2*g + 0 - 2 = p. Give c(z).
-23
Let l(g) be the third derivative of g**5/60 - 11*g**4/8 + 65*g**3/6 - 8*g**2 + 7*g. Calculate l(31).
3
Let f(j) = j**2 + 4 - 4 - 8*j - 5 - 22 - j. W... | {
"pile_set_name": "DM Mathematics"
} |
be b(-7). List the prime factors of 23*4/(q/r).
5, 23
Let i(w) = -43*w - 35. Let h be i(-3). Suppose 0 = -h*o + 98*o - 692. List the prime factors of o.
173
Let z = 239 - 250. What are the prime factors of z/(2/(-33)*3/8)?
2, 11
Let o(i) = 31*i**2 + 11*i - 91. Suppose -264 + 156 = -18*t. List the prime factors of o(t)... | {
"pile_set_name": "DM Mathematics"
} |
ce kpt.
1/510
Three letters picked without replacement from hhhhbhhbbhbhhhhhbhhh. What is prob of sequence bhh?
35/228
What is prob of sequence xxx when three letters picked without replacement from jxffxxx?
4/35
What is prob of sequence fx when two letters picked without replacement from flyfffffxfff?
3/44
What is pro... | {
"pile_set_name": "DM Mathematics"
} |
comes next: -7, -37, -115, -265, -511?
-877
What comes next: 0, -32, -62, -90, -116?
-140
What is the next term in -1693, -3385, -5079, -6775, -8473, -10173, -11875?
-13579
What is the next term in -1, -7, -15, -25, -37, -51, -67?
-85
What is next in 107, 204, 301, 398?
495
What comes next: -471, -968, -1467, -1968, -2... | {
"pile_set_name": "DM Mathematics"
} |
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