text stringlengths 270 8.19k | meta dict |
|---|---|
e next term in -397063, -397053, -397043, -397033, -397023?
-397013
What is the next term in 7870, 15000, 22130, 29260, 36390?
43520
What comes next: 7249, 14329, 21389, 28423, 35425, 42389, 49309?
56179
What is next in 407658, 1630586, 3668802, 6522306, 10191098, 14675178, 19974546?
26089202
What is the next term in -... | {
"pile_set_name": "DM Mathematics"
} |
+ 18. Give b(8).
-14
Let k(n) = n**3 + 5*n**2 + 7*n + 12. Give k(-3).
9
Let d(m) = m**3 + 3*m**2 + 2*m - 1. Calculate d(-3).
-7
Let t(f) = -2*f**3 - 4*f**2 + f - 3. Determine t(-3).
12
Let o(b) = b**3 - 8*b**2 + 3*b + 12. What is o(7)?
-16
Let d(j) = -3*j - 31. Calculate d(-8).
-7
Let n(z) = -z**2 + 14*z - 14. Calcula... | {
"pile_set_name": "DM Mathematics"
} |
- 33*x - 39. Determine y(17).
-22
Let d(j) = -j**2 - 14*j + 12. Calculate d(-13).
25
Let z(l) = -2*l**2 + 7*l - 9. Give z(3).
-6
Let j(v) = 2*v - 45. Give j(0).
-45
Let b(k) = -k + 2. Calculate b(6).
-4
Let k(v) = -30*v**2 - v - 2. Determine k(-1).
-31
Let c(h) = -3*h - 5. What is c(-7)?
16
Let t(s) = s**2 - 3*s - 1. ... | {
"pile_set_name": "DM Mathematics"
} |
hat is the remainder when 80 is divided by k?
26
Let b(r) = r**2 + 14*r - 12. Calculate the remainder when 8 is divided by b(-15).
2
Let y(s) = 3*s**2 + 3*s - 3. Let g = 1 - -7. Suppose 0 = 3*z - g*n + 4*n - 103, 0 = 3*n + 12. What is the remainder when z is divided by y(2)?
14
Let v = 0 - -44. Suppose -2*t - 14 = -v. ... | {
"pile_set_name": "DM Mathematics"
} |
22601 + -22602.1. What is the smallest value in -6, s, 2/7, 0.1, -1?
-6
Let t = 19665 - 19666. Which is the second biggest value? (a) t (b) -2 (c) -9/158
a
Suppose 11 = -5*f + 4*t - 4, 4*t - 24 = -4*f. Let k = -16.1 + -0.5. Let l = -16.8 - k. Which is the second biggest value? (a) -0.06 (b) f (c) l
a
Let t be (-... | {
"pile_set_name": "DM Mathematics"
} |
0.4 (d) -3/4
d
Let k = -145 + 289/2. Let s = -10.7 + 1.7. Let j = s - -8.98. What is the second biggest value in j, k, -1/5?
-1/5
Suppose 2*g - 20 = -2*g. Let i be 7/(-35) + 1/g. What is the biggest value in i, -0.2, -0.5?
i
Let x = 2.66 - 2.7. Which is the second biggest value? (a) x (b) -2 (c) -0.02 (d) -4
a
Let... | {
"pile_set_name": "DM Mathematics"
} |
b be (60/(-25))/(4/(-470)). Suppose -5*i - 5*d = -b + 62, 0 = -i + 3*d + 52. List the prime factors of i.
2, 23
Suppose -26 = -2*j - 2*h + 3*h, -3*h = -2*j + 30. Let s be (-312)/(-15) - j/15. Suppose -17*p - 9 = -s*p. What are the prime factors of p?
3
Let t(l) = -l - 1. Let r be t(1). Let u = 1 - r. What are the prim... | {
"pile_set_name": "DM Mathematics"
} |
he tenth root of 34795 to the nearest integer?
3
What is the square root of 748386 to the nearest integer?
865
What is the square root of 471669 to the nearest integer?
687
What is 1153685 to the power of 1/6, to the nearest integer?
10
What is 21664104 to the power of 1/9, to the nearest integer?
7
What is 7654410 to ... | {
"pile_set_name": "DM Mathematics"
} |
ert 265.2233ug to nanograms.
265223.3
How many grams are there in 5/4 of a kilogram?
1250
How many nanometers are there in one fifth of a micrometer?
200
Convert 5684.338 litres to millilitres.
5684338
How many millilitres are there in 340606.2 litres?
340606200
What is 0.6064276um in millimeters?
0.0006064276
What is ... | {
"pile_set_name": "DM Mathematics"
} |
/48 + 5*q**3/12 - 19*q. Factor c(s).
5*s*(s - 2)*(s - 1)**3/4
Let w(o) be the second derivative of o**5/30 + o**4/12 + 3*o**2/2 + 2*o. Let r(t) be the first derivative of w(t). Factor r(h).
2*h*(h + 1)
Solve 48*o**4 + 21*o - 10*o**3 + 20*o**2 - 53*o**4 + 19*o = 0.
-2, 0, 2
Let x(z) = 9*z**2 - 4. Let t(m) be the third d... | {
"pile_set_name": "DM Mathematics"
} |
*m**3 + 36*m**3.
-m**3
Collect the terms in -31 - 6*t**2 + 15 + 17.
-6*t**2 + 1
Collect the terms in 220*k**3 + 2 + 0 - 2.
220*k**3
Collect the terms in -556*c**2 + 562*c**2 + 3 - 3.
6*c**2
Collect the terms in -4794 - 2*j**2 + 1601 + 1597 + 1596.
-2*j**2
Collect the terms in 30*m**2 + 71*m**2 - 103*m**2.
-2*m**2
Colle... | {
"pile_set_name": "DM Mathematics"
} |
10. Let u be ((-12)/5)/(-4)*-15. Give k(u).
1
Suppose -5*a - 83 = -5*b - 4*a, -4*a - 77 = -5*b. Let d(x) = -2*x**2 + 4 + 12 - b + 2*x. Give d(1).
-1
Suppose 14 = -2*g + 4*k, -3*g - 23 = 2*g - 4*k. Let y(a) = 3 - 5*a - 2*a**2 - a**2 - a**3 + 3*a. Give y(g).
9
Let h(a) be the third derivative of -1/24*a**4 - 5/6*a**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
et v be (-102)/(-4) - (-4)/(-8). Let o(d) = d**2 + 22*d - 133. Suppose 67 = 4*u + 55, -4*s + 17 = -u. Let k be o(s). Solve -k*h - v = 3*h for h.
-5
Suppose -53*g - 42*g = 42*g - 5206. Solve g*j + 5*j + 129 = 0 for j.
-3
Suppose 0 = 3*w + 2*q + 35 - 1, -5*w - 3*q = 56. Let y be (-104)/(-18) + 920/90 + w. Solve 2*f - y*f... | {
"pile_set_name": "DM Mathematics"
} |
a**3 + 12*a + 19360
What is the second derivative of 1707*d**2*i**3 + 6946*d**2*i + d**2 + 1644*d*i**5 - 69*d wrt i?
10242*d**2*i + 32880*d*i**3
Differentiate 151*g**2 + 658975*g + 171051850.
302*g + 658975
What is the second derivative of 11*b*d*x**2*y + 65*b*x**2 + 9*b*x*y - 25*b*x + 428*d*x**2*y - d*x*y + 8*d*y - 31... | {
"pile_set_name": "DM Mathematics"
} |
s the common denominator of b and j?
36
Calculate the lowest common multiple of 18 and (-81)/(-1) - (74 + -65).
72
Let p(d) = d**3 - 9*d**2 + 46*d + 14. What is the least common multiple of p(7) and 2?
238
Let n = -1153 - -2223/2. Suppose 4*u + 5*x = -u + 9235, 0 = -2*x. Let f = u - 14709/8. What is the common denomina... | {
"pile_set_name": "DM Mathematics"
} |
33. Let r = -43 + s. Suppose r*v = -0*v + 40. Solve v + 0 = -2*q for q.
-5
Let d be 1/(((-12)/(-8))/(-3)). Let q be 15/(7 + d) - 1. Solve -5 = q*x + 3*x for x.
-1
Let i(k) = -k**3 - 5*k**2 + 64*k + 262. Let q be i(-9). Solve 12*z - q*z = -6 for z.
-3
Suppose 336*j - 17 = 335*j + 67. Solve v = 15*v - j for v.
6
Let c(g... | {
"pile_set_name": "DM Mathematics"
} |
49?
81
Calculate the highest common divisor of 19 and 51756.
19
Calculate the greatest common factor of 1990950 and 11700.
1950
Calculate the highest common factor of 2 and 367754.
2
What is the greatest common divisor of 166198 and 598?
46
What is the greatest common divisor of 4599 and 302512?
511
What is the highest... | {
"pile_set_name": "DM Mathematics"
} |
mmon multiple of 54915 and 17996430.
125975010
Find the common denominator of 133/201450 and 52/84609.
4230450
What is the least common multiple of 183325 and 412?
75529900
What is the least common multiple of 1440 and 48573?
7771680
Calculate the smallest common multiple of 1824432 and 624.
23717616
What is the common... | {
"pile_set_name": "DM Mathematics"
} |
. Which is greater: x or 1?
1
Let r = -4 - -3. Let x = 3 + r. Suppose -3*p = -5*p - x*d + 24, 4*d = 4*p - 64. Is 14 <= p?
True
Suppose 3*q - 526 = -d + 388, 2*q + 2*d - 604 = 0. Which is smaller: 307 or q?
q
Let n be (-1 - 3) + 13/1. Let l(d) = d**2 - 11*d + 19. Let j be l(n). Let a be (-24)/36 + j/(-3). Which is great... | {
"pile_set_name": "DM Mathematics"
} |
itive.
w**(579/7)
Simplify (y**(1/3)/y)**(2/15)*y**(-6/13)*y**(4/5)/y assuming y is positive.
y**(-439/585)
Simplify (l**(-3/2)*l**(-1/10))**(-2/99) assuming l is positive.
l**(16/495)
Simplify ((p/(p/(p*p/(p/(p/(p/p**(-4))))*p))*p)/(p*p*p**(-3/14)*p))/(p**(1/4)/p**(-2/61)) assuming p is positive.
p**(-6949/1708)
Simpl... | {
"pile_set_name": "DM Mathematics"
} |
36151016*j + 11241696?
36151016
Find the first derivative of -362820862*d + 455329683 wrt d.
-362820862
Find the second derivative of -2409579*d**2*j**2*s**2 - 24*d**2*j*s**3 + 324*d*j**2*s**2 - 3*d*s + 2*j**2*s**2 + 3*j*s**3 + 4*j*s - 71*s**3 wrt d.
-4819158*j**2*s**2 - 48*j*s**3
What is the first derivative of -7897... | {
"pile_set_name": "DM Mathematics"
} |
ded by o?
2
Suppose 2*z - 4*z = 6, 2*f + 4*z = 142. Calculate the remainder when f is divided by 16.
13
Let s be -1 - (3/(-1) + 0). Suppose -2*n - 13 + 5 = -s*k, 4*k - 2 = -3*n. What is the remainder when 4 is divided by k?
0
Let o = 38 - 14. Suppose -18*r - 203 + 1877 = 0. Calculate the remainder when r is divided by ... | {
"pile_set_name": "DM Mathematics"
} |
+ k*d + h and give u.
936
Express (0*k**2 - k**2 + 0*k**2)*(-k + 2 - 2)*((-2 + 0 + 3)*(-90 - 97 + 19) - 5 + 2 + 1) in the form i*k**2 + g*k**3 + t + o*k and give g.
-170
Express -154*f + 102*f + 732*f + 898*f + 219*f in the form k*f + v and give k.
1797
Express b**3 - 4*b - 4200 - 3*b**3 + 4202 in the form n*b + y*b**2... | {
"pile_set_name": "DM Mathematics"
} |
: -10 or y?
y
Let d(f) = f**2 - 2*f - 25. Suppose 0 = -32*x + 35*x + 18. Let g be d(x). Suppose 5*v + 21 = -3*w, 0*v = 5*v + 4*w + g. Which is bigger: -2 or v?
-2
Let b = 20421 + -428843/21. Is -0.153 less than b?
True
Let d = 6577.595 - 6578. Which is smaller: d or 8?
d
Let w(o) = 35*o + 565. Let x be w(-17). Let c be... | {
"pile_set_name": "DM Mathematics"
} |
tor of 880 and 1567940.
220
Calculate the highest common divisor of 134530 and 242.
22
Calculate the greatest common divisor of 13087 and 23.
23
What is the highest common divisor of 60650 and 19150?
50
What is the greatest common factor of 2362806 and 18?
18
Calculate the greatest common factor of 104142 and 3060.
102... | {
"pile_set_name": "DM Mathematics"
} |
by 116.
113
What is the remainder when 482 is divided by 23?
22
What is the remainder when 2238 is divided by 22?
16
What is the remainder when 465 is divided by 36?
33
Calculate the remainder when 1082 is divided by 335.
77
What is the remainder when 36 is divided by 10?
6
Calculate the remainder when 178 is divided b... | {
"pile_set_name": "DM Mathematics"
} |
)/(-25) - 4). Let y be b(f). Factor 1/3*v**3 - 1/3*v + 1/3*v**y + 0 - 1/3*v**2.
v*(v - 1)*(v + 1)**2/3
Let 18/5*a**4 + 138/5*a**3 - 408/5*a + 152/5*a**2 + 32 = 0. Calculate a.
-5, -4, 2/3
Factor -2587*o**3 + 118*o**3 - 123*o**3 - 20736*o**2 - 39470*o - 3*o**5 - 10*o**4 - 134*o**4 - 22738*o.
-3*o*(o + 12)**4
What is d i... | {
"pile_set_name": "DM Mathematics"
} |
ms in 23*p**2 + 16*p**2 + 13*p**2 - 15*p**2 - 32*p**2.
5*p**2
Collect the terms in 92442442*i + 1 - 8 - 92442440*i - 5 + 12.
2*i
Collect the terms in -1 - 10*g**2 - 34*g**2 + 1 + 51*g**2.
7*g**2
Collect the terms in 13 + 96*c**2 - 3 - 11.
96*c**2 - 1
Collect the terms in -68799*p + 206403*p - 68809*p + p**2 - 68795*p.
... | {
"pile_set_name": "DM Mathematics"
} |
-2, 3*k = -4*w + 2 for k.
2
Solve -3*g = 2*c + 2, -2*c + 14 = -g - 4*g for c.
2
Solve 0 = -2*a - 7*o + 10*o, 16 = -2*a - 5*o for a.
-3
Solve -x + 4*x + 9 = -3*g, 2*g - x + 3 = 0 for g.
-2
Solve 0 = -4*z - 2*m + 10, 5*z - 9*m = -5*m - 20 for z.
0
Solve 5*i + 21 = 2*p, i + 188 = 3*p + 189 for i.
-5
Solve 0 = 5*j + 4*f -... | {
"pile_set_name": "DM Mathematics"
} |
3)*(-2*f**3 + 6*f**3 - 2*f**3) - 23*f**3 + 42*f - 42*f to the form s*f**2 + y + n*f + c*f**3 and give c.
-29
Rearrange -44*d**4 + 3*d**3 - 4*d**3 - 3*d**2 + 2*d**2 + 42*d**4 - 44*d to the form o*d**4 + c*d + w*d**3 + g + x*d**2 and give c.
-44
Rearrange 12071 + 11*m + m**2 + m**3 - 12079 - 3*m**2 to the form s*m**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
, 997
List the prime factors of (18/27)/((-2)/(-18156)).
2, 17, 89
Let y be ((-21)/56*2)/(3/(-3168)). Suppose -q + 396 = -5*k, -2*q + y = 6*k - 5*k. List the prime factors of q.
2, 3, 11
Let j(x) = -3*x**3 + 139*x**2 + 35*x - 63. What are the prime factors of j(42)?
3, 7, 19, 61
Let s(p) = -p + 9. Let v be s(17). Let u... | {
"pile_set_name": "DM Mathematics"
} |
3 + 9 - 3 + 5 + (-2 + 1 + 0)*(-5 + 2 + 1))*(1 - 6 + 3) to a + f*z and give f.
48
Express 30*v - 27*v + 5*v**3 - 6*v**3 in the form r*v**3 + c*v + o*v**2 + q and give r.
-1
Rearrange (-96 + 96 + 2*n - 2*n**2)*(1 + 1 - 8) to the form z*n**2 + h + t*n and give z.
12
Express v**3 + 2 - 179*v - 3*v**2 + 178*v - 2*v**4 + 2*v... | {
"pile_set_name": "DM Mathematics"
} |
ing order.
13, 11/17, 1/2, 0.2
Sort -26, 4, 8806 in decreasing order.
8806, 4, -26
Put 16, -231, 1, -4, 2 in decreasing order.
16, 2, 1, -4, -231
Put -1961, -75, 2/3, 1/8, -3/4 in decreasing order.
2/3, 1/8, -3/4, -75, -1961
Put 1, 6, 1415, -5 in ascending order.
-5, 1, 6, 1415
Sort -4/3, 34, -5.5, 5, -1.
-5.5, -4/3, -... | {
"pile_set_name": "DM Mathematics"
} |
replacement from {d: 5, r: 1, v: 4, t: 3, i: 1}. What is prob of picking 1 d and 2 t?
15/364
Calculate prob of picking 3 b when three letters picked without replacement from {b: 2, c: 4}.
0
Three letters picked without replacement from envvvenvineiem. Give prob of picking 3 e.
1/91
Calculate prob of picking 2 t when t... | {
"pile_set_name": "DM Mathematics"
} |
posite number?
False
Let i(z) = -z - 5. Let g be 38/57*(-3)/1. Let t be i(g). Is (0 + t)*1*-127 prime?
False
Suppose w = -3 - 6. Let j(d) = 4*d**2 + 11*d - 9 + 1 + 2*d**2 + 0*d**2. Is j(w) composite?
False
Let n(v) = -19*v**3 - 5*v**2 - 3*v + 2. Let a be n(-3). Let f = a + 35. Suppose -13*z - f = -15*z. Is z a prime nu... | {
"pile_set_name": "DM Mathematics"
} |
5/162 and 53/10?
810
Calculate the common denominator of -34/77 and -53/650.
50050
Find the common denominator of 7/129 and -59/21.
903
Calculate the smallest common multiple of 1002 and 9.
3006
What is the smallest common multiple of 24 and 1544?
4632
Calculate the common denominator of 107/120 and -56/135.
1080
Find ... | {
"pile_set_name": "DM Mathematics"
} |
.
55619.62
How many micrograms are there in 73947.35 kilograms?
73947350000000
Convert 3.116169 decades to months.
373.94028
Convert 5669.007us to nanoseconds.
5669007
Convert 1473.336ns to seconds.
0.000001473336
How many nanograms are there in 27/4 of a microgram?
6750
Convert 320.2014 tonnes to kilograms.
320201.4
H... | {
"pile_set_name": "DM Mathematics"
} |
2*y + y - 3. Suppose -5 = 2*k + y. Let v be (-3 - k) + 0 + 9. Calculate the greatest common factor of v and 9.
9
Suppose -2*b - 188 = -5*q, -2*q + 148 = 2*q - b. What is the greatest common divisor of q and 630?
18
Let q(h) = h**3 + 11*h**2 + 3*h - 12. Let l be q(-9). Let w = -101 + l. Calculate the highest common fac... | {
"pile_set_name": "DM Mathematics"
} |
ositive.
b**(16/7)
Simplify b**4/((b/b**18)/b) assuming b is positive.
b**22
Simplify (p*p*p**(3/5))**(-24) assuming p is positive.
p**(-312/5)
Simplify ((z**(-8/7)*z)/(z*z**(3/2)))/(z**(-2)*z**(4/9)/z*z) assuming z is positive.
z**(-137/126)
Simplify y**(-1/11)*y**(2/11) assuming y is positive.
y**(1/11)
Simplify (j**... | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from {a: 7, g: 6}. What is prob of picking 2 a?
7/26
Calculate prob of picking 1 g and 3 z when four letters picked without replacement from ggpzggzpgpgzg.
7/715
Calculate prob of picking 1 x, 1 f, and 1 k when three letters picked without replacement from jffjrrxkrr.
1/60
What is prob of picking 1 n, 1 ... | {
"pile_set_name": "DM Mathematics"
} |
+ 6*g(x).
-2*x + 1
Let j(c) = 8*c**2 - 1. Let w be j(1). Let h(o) = -6*o + 4. Let a(z) = -z - 3. Let t(i) = i. Let l(x) = a(x) + 5*t(x). Calculate w*l(n) + 5*h(n).
-2*n - 1
Let a(g) = g**2 - 4*g + 3. Let z(y) = y. What is -a(p) - 4*z(p)?
-p**2 - 3
Suppose -5 - 4 = -3*j. Let s(d) = -3*d**2 + d**3 - 4*d**j + 0*d**3. Let ... | {
"pile_set_name": "DM Mathematics"
} |
u = 53 + g. Let j = u + -4.5. Which is the closest to 1? (a) -2/5 (b) j (c) 5
b
Let v = -1537 - -1538.486. Let i = v + 0.014. Let o = 1.5 + i. What is the nearest to -0.1 in 3/5, -2/11, o?
-2/11
Let m = 1.98486 + 0.01514. Which is the closest to m? (a) 2/3 (b) -5 (c) -1/7 (d) -20
a
Let i = 22 + -11. Suppose 4*m ... | {
"pile_set_name": "DM Mathematics"
} |
illigrams.
301812.3
What is thirteen quarters of a week in minutes?
32760
What is 66271.07 litres in millilitres?
66271070
Convert 902.8815g to milligrams.
902881.5
How many kilograms are there in 933697.7 nanograms?
0.0000009336977
What is 53/4 of a kilogram in grams?
13250
What is 7/2 of a microgram in nanograms?
350... | {
"pile_set_name": "DM Mathematics"
} |
253. Suppose -2*i = 5*i - u. Suppose -5*y + 327 = -223. What is the highest common factor of i and y?
22
Suppose 0 = 453*v - 447*v - 468. What is the greatest common factor of v and 12?
6
Suppose 4*n + 79 = 139. What is the greatest common divisor of 105 and n?
15
Let i(v) = -v**2 - 5*v + 12. Let b be i(-10). Let w = b... | {
"pile_set_name": "DM Mathematics"
} |
integer?
24
What is 4224109 to the power of 1/7, to the nearest integer?
9
What is 26361503 to the power of 1/2, to the nearest integer?
5134
What is 395030 to the power of 1/2, to the nearest integer?
629
What is the fifth root of 16069447 to the nearest integer?
28
What is the third root of 111857 to the nearest inte... | {
"pile_set_name": "DM Mathematics"
} |
Let w = d + 27. Factor 1/3*l**2 + w*l - 1/3.
(l - 1)*(l + 1)/3
Let y(b) be the first derivative of -3*b**4/8 + b**3/12 + 47. Factor y(l).
-l**2*(6*l - 1)/4
Let s(p) be the second derivative of p**7/10080 - 7*p**6/1440 + 49*p**5/480 + p**4/6 + 4*p**3 - 51*p. Let l(t) be the third derivative of s(t). Factor l(y).
(y - 7)... | {
"pile_set_name": "DM Mathematics"
} |
755 or 23596752?
23596752
Which is greater: -119366824 or -119366823?
-119366823
Do -15 and -537361/5 have the same value?
False
Is -5.82 at most 23107?
True
Do -470247 and -470085 have the same value?
False
Is 228618 greater than -8?
True
Which is bigger: 6/8603 or -194?
6/8603
Is -172468956 equal to -172468956?
True
... | {
"pile_set_name": "DM Mathematics"
} |
What is the remainder when 8236 is divided by 7801?
435
Calculate the remainder when 303140 is divided by 37620.
2180
Calculate the remainder when 3612150 is divided by 756.
738
Calculate the remainder when 856242 is divided by 285381.
99
What is the remainder when 18038019 is divided by 901?
900
Calculate the remaind... | {
"pile_set_name": "DM Mathematics"
} |
least -2?
False
Does 2/5 = 102?
False
Which is smaller: 66/23 or -1/2?
-1/2
Does 193/23 = 7?
False
Which is smaller: -3792 or 1?
-3792
Which is greater: 278/11 or 24?
278/11
Which is smaller: -1/2 or 262?
-1/2
Are -4/1779 and 1 nonequal?
True
Does 423/43 = 10?
False
Which is smaller: 150 or 5?
5
Is 13024 < 13022?
False... | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from ffjjffffffffffffjfff. Give prob of sequence fff.
34/57
Calculate prob of sequence xx when two letters picked without replacement from xyxyxggxx.
5/18
What is prob of sequence lyy when three letters picked without replacement from {l: 2, y: 5}?
4/21
Calculate prob of sequence tkkk when f... | {
"pile_set_name": "DM Mathematics"
} |
90. Solve 16*a - 94 = -n for a.
4
Let w = -39249 + 39249. Solve w = -25*d + 135 - 310 for d.
-7
Suppose 3 + 36 = 13*v. Suppose -v*s - 34 + 4 = 0. Let b(i) = -2*i - 8. Let g be b(s). Solve 3*o = 6*o + g for o.
-4
Let r = -12 - -57. Let q = 47 - r. Suppose q = 5*l - 3*l. Solve b + l = -1 for b.
-2
Suppose 2*r + 2*x = 10,... | {
"pile_set_name": "DM Mathematics"
} |
z**4
Let z(u) = 10*u - 41. Let s(v) = 2*v**2. Determine s(z(w)).
200*w**2 - 1640*w + 3362
Let v(h) = 14*h**2. Let n(d) = -99*d**2 + 200*d**2 - 98*d**2. Give v(n(q)).
126*q**4
Let v(u) = -u**2. Let f(y) = -13*y - 6. Let h(c) = 532*c + 247. Let z(q) = -247*f(q) - 6*h(q). Calculate z(v(k)).
-19*k**2
Let n(j) = 4*j**2. Let... | {
"pile_set_name": "DM Mathematics"
} |
7, what is -13301202 - -5?
-13301164
In base 13, what is 4 + -b17143?
-b1713c
In base 8, what is 2423 + -30513?
-26070
In base 12, what is 419 - -21602a?
216447
In base 8, what is 2740174 + -20?
2740154
In base 4, what is 1212123 - -1202221?
3021010
In base 4, what is 2 + 2212111021001?
2212111021003
In base 2, what i... | {
"pile_set_name": "DM Mathematics"
} |
, i, 3/8
Let q = 63.202 + -63.8. Let y = q - -0.098. Let u(v) = v**3 + 3*v**2 + v. Let m be u(-3). Sort -1/4, m, y.
m, y, -1/4
Suppose 0 = -5*z + 5*b - 15, z - 12 = -2*b - 3. Sort -2/9, z, -0.4, 1/9 in descending order.
z, 1/9, -2/9, -0.4
Suppose -5*o + 2 = 22, 0 = -2*l - 4*o - 12. Let n(d) = -d - 12. Let k be n(-9). P... | {
"pile_set_name": "DM Mathematics"
} |
e factors of v?
2351
Let o(b) = -b**2 + 36*b + 78. List the prime factors of o(35).
113
Suppose -5*o - 7 = -62. Suppose -17 = -4*x + o. Let r(u) = u**2 - 7*u + 6. List the prime factors of r(x).
2, 3
Let k be -8*(14/(-8) + 1). Let g(j) = 3*j**2 - 2*j + 11. Let u be g(k). Suppose q = -0*v - 4*v + 181, u = 2*v - 5*q. Lis... | {
"pile_set_name": "DM Mathematics"
} |
*2)*((-2*m + 0*m + m)*(4 - 2 - 5) + m + 0*m - 3*m + 2*m + 0*m - m) as i*m**3 + a + s*m + v*m**2 and give i.
-6798
Rearrange 2*l - 6453 + 299*l**2 - 2*l + 222*l**2 + 6450 to j + y*l**2 + n*l and give j.
-3
Express (2*z - 3*z**2 - 2*z)*(6*z - 29 + 29) - 42*z**3 - 41*z**3 + 75*z**3 + 2*z**3 + 2*z - 2*z in the form o + h*z... | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of r(j) wrt j.
62
Let n = -54 - -54. Let i be (n - (-1)/(-4)) + 204/48. What is the third derivative of -i*c**2 + 20*c**2 - 8*c**5 + c**5 + 20*c**5 wrt c?
780*c**2
Let q(s) = 9*s + 30. Let h be q(-3). Find the third derivative of -h*z**2 - 79 + 86 + z**2 + 45*z**6 wrt z.
5400*z**3
What is the deri... | {
"pile_set_name": "DM Mathematics"
} |
1. Let q be s(-1). Let y be (-2)/q - (-35)/11. Let p = y + 11. What is the units digit of p?
4
Suppose s + 16 = 66. Suppose -126 = 4*j + 2. Let y = j + s. What is the units digit of y?
8
Let f = -863 + 2991. What is the hundreds digit of f?
1
Let j be (-2)/(-7) - (-19)/7. Suppose u = 2*h + j, h = -u - 0*h - 12. Let m ... | {
"pile_set_name": "DM Mathematics"
} |
- m. Calculate the least common multiple of 14 and y.
140
Suppose -19 + 49 = 5*u. Let k be ((-30)/(-9))/(u/27). Calculate the common denominator of ((-53)/3)/(k/9) and -47/9.
45
Let c(t) = -11*t + 5 + 10*t + 8 + 1. What is the least common multiple of c(5) and 27?
27
What is the common denominator of -16/3 and (-7)/7*2... | {
"pile_set_name": "DM Mathematics"
} |
r?
True
Suppose -79*q - 17801 = -86*q. Is q prime?
True
Is (4476 - 50) + (1 - 0) prime?
False
Let h = 3384 - -3563. Is h composite?
False
Let l = 1415 + 75516. Is l prime?
False
Let n be 3/(1/(3 - 0)). Suppose -3*b - 5*u + 2969 = 0, n*b - 7*b = -2*u + 1982. Is b composite?
True
Let o be (6/(-9))/(2/(-9)). Suppose -o = ... | {
"pile_set_name": "DM Mathematics"
} |
)/(-10)). Put 2/5, -28, w in ascending order.
-28, w, 2/5
Let r = -1 + 2. Suppose -6*a - 20 = -2. Put a, r, 4 in increasing order.
a, r, 4
Let l = -0.053 - -2.953. Let o = -1.1 - l. Put -3, o, 5 in ascending order.
o, -3, 5
Let u be (-4)/(1 + 0 + -2). Suppose -4*k - 28 = 4*w, -4*k + w = -3*w + u. Put -1, 3, k in descen... | {
"pile_set_name": "DM Mathematics"
} |
of 31541254.
2, 19, 53, 15661
What are the prime factors of 1992975377?
53, 461, 81569
List the prime factors of 104630195.
5, 3259, 6421
List the prime factors of 178518864.
2, 3, 1223, 3041
What are the prime factors of 3717854033?
167, 22262599
What are the prime factors of 190332476?
2, 17, 673, 4159
List the prim... | {
"pile_set_name": "DM Mathematics"
} |
, s: 3}.
1/42
Two letters picked without replacement from jjjrtrtkjrtktyryaar. What is prob of sequence ra?
5/171
What is prob of sequence bh when two letters picked without replacement from hhhhbhhzhhshh?
5/78
What is prob of sequence orh when three letters picked without replacement from hroerrhhrhhhoxoo?
1/35
Four l... | {
"pile_set_name": "DM Mathematics"
} |
+ 8*p + 2 + 6*p + u*p**2.
2*(p - 1)**2
Let r be 35486/(-143) - 4/(-26). Let t = 1740/7 + r. Solve 8/7*m**3 - 2*m**2 + 0 + 8/7*m**4 + t*m = 0 for m.
-2, 0, 1/2
Suppose 0 = 5*h - 6*h + 8. Suppose -s**2 + 2*s**3 - h*s - 4*s**3 + 9*s**2 = 0. Calculate s.
0, 2
Let p = -11 - -11. What is o in 7/2*o**3 - 5/2*o**4 - o**2 + p +... | {
"pile_set_name": "DM Mathematics"
} |
17. Is z prime?
False
Is (-1 - -33187) + 22/(-44)*14 prime?
True
Suppose g + 4034032 = 5*p - 4723956, -5254788 = -3*p - g. Is p prime?
False
Let s(j) = -j**2 - 16*j - 36. Suppose -6*z - 3*p - 77 = -z, -p - 4 = 0. Let y be s(z). Suppose -5*d + d - x = -1992, 5*d - y*x = 2507. Is d composite?
False
Let x be 30/10*(-4)/16... | {
"pile_set_name": "DM Mathematics"
} |
rime factors of q.
3, 71
Let f(m) = 1706*m**2 + 13*m + 15. What are the prime factors of f(2)?
5, 1373
Let w = -61 + 52. Let y be (-423)/6*6/w. Suppose f - y = -2*u, -u = -2*u + 2*f + 11. List the prime factors of u.
3, 7
Let o(f) = 19*f - 24. Let i be o(-16). Let h = 563 + i. List the prime factors of h.
5, 47
Let p(s... | {
"pile_set_name": "DM Mathematics"
} |
0
Let w(c) = c**3 + 10*c**2 + 15*c + 7. Let d be w(-8). Solve d*a - 5 = 14*a for a.
5
Let n be 3/5 + 114/(-190). Solve 3*m - 12 = -n for m.
4
Let t(p) = p + 12. Let x be t(-12). Let m(f) be the first derivative of f**3/3 - 9*f**2/2 + 4*f - 4. Let k be m(9). Solve -g - k = -x for g.
-4
Suppose -5*i = -36 - 34. Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
syyyyyysyyyy. Give prob of sequence ssy.
65/969
Four letters picked without replacement from {c: 2, o: 11, e: 4, t: 2}. Give prob of sequence oecc.
11/11628
Two letters picked without replacement from {s: 5, t: 1, j: 3, y: 9}. What is prob of sequence tj?
1/102
Three letters picked without replacement from uyyynur. Wha... | {
"pile_set_name": "DM Mathematics"
} |
7. Let x = l - p. Is x a multiple of 5?
False
Let l(h) = -3*h**2 + 18*h**2 + h**3 - 11 - 3*h + 2*h. Let x be l(-15). Suppose -5*p + 76 = -0*p - 4*o, -32 = -x*p - 4*o. Is p a multiple of 6?
True
Suppose -2*v + 4*n = 2*v - 3748, 3*n + 3 = 0. Let w = -856 + 858. Suppose w*y + v = 15*y. Is 6 a factor of y?
True
Let u be (7... | {
"pile_set_name": "DM Mathematics"
} |
ve 0 = 2*y - 2*i - 180 + 126, -158*y + i = -160*y - 27 for y.
0
Solve -2*u + 2586 - 2528 = -2*b, -106*u + 108*u = -4*b - 92 for b.
-25
Solve -l - 5*c + 38 = 0, 99 + 111 = 5*l + 35*c - 50 for l.
3
Solve 9*i + 15 = 5*l + 50, -115680*i + 115677*i = -2*l - 11 for i.
5
Solve -5 = 2*m - 4*m - 4*s - 31, s + 10*s = 7*s - 16 fo... | {
"pile_set_name": "DM Mathematics"
} |
c) -0.101 (d) 0.1 (e) -3
c
Which is the closest to -1/4? (a) 0.028 (b) -2/2137 (c) 418
b
What is the closest to 0 in -1040, -0.1, -137, 2, 0.4?
-0.1
What is the closest to 0.3 in -30, 17, 277?
17
Which is the nearest to -79? (a) -0.7 (b) 0.03 (c) -1/1549
a
What is the closest to -24 in 2/91, -5.3, 107?
-5.3
Wha... | {
"pile_set_name": "DM Mathematics"
} |
4 + 16. Suppose 5*i = -4*v + 27, -3*v + g = 3*i - 6. Suppose 2*t + v*t = 105. Is t a composite number?
True
Suppose -4*s = -4*q, -q = -2*q + 5*s - 8. Suppose -92 = 4*x - q*a, -x - 12 = -a + 13. Let y = x - -44. Is y a composite number?
False
Let m(p) = p**2 - 2*p + 2. Suppose -3*v - 8 - 7 = 0. Is m(v) prime?
True
Is (2... | {
"pile_set_name": "DM Mathematics"
} |
- -1. Sort 4, a, 29 in decreasing order.
29, 4, a
Suppose 10 = -5*p, 5*s + 5*p = p - 43. Suppose 2*m = -0*m. Suppose -v + 58*t - 57*t = 0, -1 = t. Put v, m, s in increasing order.
s, v, m
Let c = -4 - -10. Suppose c*o + i - 10 = o, o + 4*i = -17. Sort 0.7, -0.3, o, -2/11.
-0.3, -2/11, 0.7, o
Suppose f + 5*l + 10 = 0, 0... | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when 93 is divided by 59.
34
What is the remainder when 779 is divided by 223?
110
What is the remainder when 1862 is divided by 16?
6
What is the remainder when 813 is divided by 24?
21
What is the remainder when 164 is divided by 85?
79
What is the remainder when 412 is divided by 13?
9
Calcul... | {
"pile_set_name": "DM Mathematics"
} |
meters in nanometers?
503150900000000
How many millimeters are there in thirteen fifths of a centimeter?
26
How many millimeters are there in 1/5 of a centimeter?
2
What is 1554.807s in milliseconds?
1554807
Convert 5.469159 grams to tonnes.
0.000005469159
What is 0.8837876nm in micrometers?
0.0008837876
Convert 58843... | {
"pile_set_name": "DM Mathematics"
} |
(a) - 4*z(a). Calculate n(m).
3
Let u be 14/3 + (-10)/(-30). Suppose -5*i - 2*y = -u*y, 5*y = 5*i. Let d(k) = -2*k + 3*k + i*k - 3. Calculate d(6).
3
Let s be -4 - (-1 + (3 - 3)). Let j(g) be the first derivative of -g**4/4 - g**3/3 + g**2/2 - 2*g + 22. Determine j(s).
13
Let v(y) = 2*y - 3. Suppose -6*n - 7 = -31. Sup... | {
"pile_set_name": "DM Mathematics"
} |
41. Calculate 7*a(k) - 6*o(k).
-4*k**2 + k - 35
Let v(n) = 4*n - 1. Let o(y) = -6*y**2 - 25*y + 4. Determine -o(d) - 5*v(d).
6*d**2 + 5*d + 1
Let p be ((-1329)/6)/((12/16)/(-3)). Let a(s) = 6*s**2 - 888 + p + 0*s**2 + 5*s. Let g(h) = 7*h**2 + 6*h - 2. Calculate -6*a(d) + 5*g(d).
-d**2 + 2
Let t(c) = 2*c**2 + 6*c + 1. ... | {
"pile_set_name": "DM Mathematics"
} |
(3 + 1 - 1)*(4 - 3 - 4) in the form i + s*r and give s.
-18
Express (-4 - 2 + 1)*(-31*y - 39*y + 12*y) as g*y + v and give v.
0
Rearrange -6*q**3 - 14*q**3 - 147 + 146 to v*q + l*q**3 + x*q**2 + k and give k.
-1
Rearrange -33*s + 65 + 35*s - 1 to b*s + y and give b.
2
Rearrange c + 0*c**3 - 15 + c**3 - c**3 - c**3 to t... | {
"pile_set_name": "DM Mathematics"
} |
))/(y*y**2) assuming y is positive.
y**(-491/56)
Simplify ((p**(-10)*p)**(-1/2)*(p*p/(p*p*(p*p**(-16/3))/p))/p*p*p/(p**(2/13)*p))**(-21/8) assuming p is positive.
p**(-5285/208)
Simplify (y**(6/13)/y*y*y)**45*y**10*y**32 assuming y is positive.
y**(1401/13)
Simplify t/(t**(1/2)*t*t)*t**(-1/7)*t*(t**6*t)/((t/t**(-5)*t)/... | {
"pile_set_name": "DM Mathematics"
} |
undred thousand?
7600000
What is 0.000663226 rounded to five dps?
0.00066
What is 27322.11 rounded to the nearest 100?
27300
What is 0.000005235795 rounded to six decimal places?
0.000005
Round -0.00979843 to five dps.
-0.0098
What is -2771 rounded to the nearest one hundred?
-2800
Round 0.00001342121 to 5 dps.
0.00001... | {
"pile_set_name": "DM Mathematics"
} |
pose q - p = s. What is the smallest common multiple of 24 and q?
24
Let f = 3744758107/52 + -72012218. Let i = f + -9437/4. Find the common denominator of ((-16)/84)/((-2)/102*-2) and i.
182
Let q = -74 + 92. Calculate the smallest common multiple of 8 and q.
72
Suppose -5*o = -t - 26, 4*o + 2*t = -3*t + 44. Suppose 0... | {
"pile_set_name": "DM Mathematics"
} |
alue in -0.1, -24, 0, 0.1, 17, 1, 25?
1
What is the second smallest value in 1, -1/1373, 4925?
1
What is the fifth smallest value in 28, -1, 3, 4/5, -0.26982, -0.2?
3
What is the third biggest value in 13, -8, 27/7, 1.66?
1.66
What is the second smallest value in -9, 2, -0.531, -0.1, 0.7, -3/5?
-3/5
Which is the third ... | {
"pile_set_name": "DM Mathematics"
} |
-9)/378).
3/4
Evaluate (252/(-6))/6 - -13.
6
4*((-4)/(-18) - 132/108)
-4
What is ((-45)/25)/((-21)/70)?
6
Calculate (-1)/2*(-120)/(-15).
-4
What is the value of 3/(-45)*40/(-8)?
1/3
Calculate 4/22 + (96/(-110))/(-4).
2/5
Evaluate (-44)/(-77)*6/12.
2/7
-4 + (-7)/14*-10
1
What is the value of (-2)/(-1) - (9/(-3))/1?
5
58... | {
"pile_set_name": "DM Mathematics"
} |
758, -19685000?
-34015614
What is the next term in 176630, 349873, 523118, 696365, 869614, 1042865, 1216118?
1389373
What comes next: 5792, 23270, 52402, 93188, 145628, 209722, 285470?
372872
What is the next term in -2446, -2945, -3208, -3115, -2546, -1381, 500?
3217
What comes next: 58242, 58668, 59094, 59520, 59946,... | {
"pile_set_name": "DM Mathematics"
} |
u = -1167.03 + 1167.53. Sort a, -0.5, u in increasing order.
-0.5, u, a
Suppose 0 = -x + 2 + 1. Let k be 2/27 - 30192/2997. Sort x, k, -2, -4 in descending order.
x, -2, -4, k
Let q = 4.59 + -6.8. Let u = 2.307 + q. Let r = u - -0.003. Sort 5, r, 39 in decreasing order.
39, 5, r
Let y = -23506748651/2132 - -11025679. L... | {
"pile_set_name": "DM Mathematics"
} |
y 2*(sqrt(72) + (sqrt(72) - (sqrt(72) + sqrt(72)*-2 + 3))**2 - sqrt(72)) - (1*(1 + sqrt(72)))**2*-5.
-84*sqrt(2) + 959
Simplify (6*(1 + (sqrt(204) + 1*sqrt(204))/sqrt(12) + 1*sqrt(68) + sqrt(68) + -2))**2.
-432*sqrt(17) + 22068
Simplify 0 + (4 + sqrt(128) + 1)**2 + (5*(1 + sqrt(128)) - sqrt(128)) + sqrt(128).
158 + 120... | {
"pile_set_name": "DM Mathematics"
} |
.
-1, 0, 1
Suppose 0 = 218*t - 238*t + 40. Suppose 4/9*m + 2/9 + 2/9*m**t = 0. Calculate m.
-1
Let f(q) be the third derivative of -q**8/3360 + q**7/84 - 23*q**6/400 + 67*q**5/600 - 11*q**4/120 - 5*q**2 + 13. Suppose f(h) = 0. Calculate h.
0, 1, 22
Suppose l - 692 = -3*s + 2*l, 2*s = -2*l + 464. Suppose 5*y + 86 - s = ... | {
"pile_set_name": "DM Mathematics"
} |
s of a micrometer in nanometers?
1200
How many centimeters are there in 7/4 of a meter?
175
What is 1/4 of a microgram in nanograms?
250
How many centuries are there in 15.33881 millennia?
153.3881
How many months are there in 4/3 of a millennium?
16000
Convert 3.838534ug to nanograms.
3838.534
Convert 77.52721 millenn... | {
"pile_set_name": "DM Mathematics"
} |
(0*u + 0*u - u)*(-5 + 5 - 1) + 4*u + 0*u - 2*u)*(-u - u + 3*u).
8*u**2
Expand (3*v - 2*v + 0*v)*(0*v + 3*v - v) + 0*v**2 - 4*v**2 + 3*v**2 + v**2 + v**2 - v**2 + (-v + v - v**2)*(7 + 3 - 4).
-4*v**2
Expand (-5 + 5 - 3*d)*(-1 + 0 + 3).
-6*d
Expand 2*a**2 + 2*a**2 - 5*a**2 + 2*a**2 + a**2 - a**2 + a**2 - 2*a**2 + 0*a**2... | {
"pile_set_name": "DM Mathematics"
} |
f + 20*f + 6*f - 6471.
34*f - 6471
Collect the terms in 2*u + 163 + 438 + 53 - 909.
2*u - 255
Collect the terms in 0*a - 22*a + 8*a + 9*a + 40*a.
35*a
Collect the terms in 43*q + 570*q + 64*q + 281*q + 149*q.
1107*q
Collect the terms in 2053 + 206*k**2 - 366*k**2 + 162*k**2.
2*k**2 + 2053
Collect the terms in -19 - 286... | {
"pile_set_name": "DM Mathematics"
} |
-3*r - 7, -3*g = r - 16. What is the biggest value in -2, q, r?
q
Suppose 0 = -2*h - 31 + 41. Which is the fourth biggest value? (a) h (b) 0.4 (c) -1/4 (d) 1/2
c
Let h = 0.2 - 0.3. Let i = h - -0.5. Let s = 4/51 + -11/68. Which is the third biggest value? (a) -0.5 (b) s (c) i
a
Let v = 0.12 + -5.12. Let i = 69/4... | {
"pile_set_name": "DM Mathematics"
} |
h = 0.239826 + d. What is h rounded to 5 dps?
-0.00017
Let b be -2*(-1)/(-16) - (-48833208)/(-576). What is b rounded to the nearest one thousand?
-85000
Let a = 0.11 - 5.53. Let r = a + 0.12. Round r to 0 dps.
-5
Let v = 274.181 - 272.6. What is v rounded to the nearest integer?
2
Suppose -2*f - 1034 = -7*f + b, -1039... | {
"pile_set_name": "DM Mathematics"
} |
(-14)?
19
Let x = 0 - -2. Let p(o) = 22*o + 1. Let k be p(x). Suppose 4*s - 3 = 4*m - 63, 5*m - k = -5*s. List the prime factors of m.
2, 3
What are the prime factors of 171 + (14/21)/((-1)/(-3))?
173
Let w(f) = 4*f**2 - f. Let s be w(-1). Suppose -s*z - 7 = 3. List the prime factors of -5 + 5 + (0 - z).
2
Suppose 12*n... | {
"pile_set_name": "DM Mathematics"
} |
k = -368 + a. Is k smaller than -240?
True
Suppose -f - 600 = -3*i + 2*f, -3*f = -i + 202. Suppose -t - 191 + i = 0. Let w(z) = -z**3 - 10*z**2 + z + 10. Let m be w(-10). Are t and m nonequal?
True
Suppose 5*x = 2*c - 64, 6*c - 141 = c + 3*x. Let m(a) = 63*a**2 - c + 2*a + 5*a - 64*a**2 + 6*a. Let s be m(11). Which is... | {
"pile_set_name": "DM Mathematics"
} |
1.12. What is the second smallest value in -3/4, 2, g?
g
Suppose 5*l - 3*d - 5 = 5, -5*l - 2*d + 35 = 0. What is the third biggest value in -0.4, l, 0.5, 2?
0.5
Let t(u) = 2*u**2 - 10*u + 8. Let s be t(4). Let x = -10 - -14. Which is the third smallest value? (a) s (b) -2 (c) x
c
Let u = -348 - -709. Which is the se... | {
"pile_set_name": "DM Mathematics"
} |
/49 - 78/91. Let x = 13 + -9. Suppose -x*d + 120 = -0*d. Calculate the greatest common divisor of d and n.
6
Suppose 1257 = -136*u + 1801. Calculate the highest common divisor of 14828 and u.
4
Let w = 248 - 28. Let x(a) = -a + 15. Let r be x(-5). What is the highest common divisor of w and r?
20
Let s(t) = 3*t**2 + 1.... | {
"pile_set_name": "DM Mathematics"
} |
ve of d**3*f*v - 3*d**3*f - 2*d**3*v**3 + 14*d**2*f - d*v**3 + 2*f*v**2 wrt d.
6*f*v - 18*f - 12*v**3
What is the second derivative of 3*a**3 - 16*a**2 - 79*a?
18*a - 32
Find the third derivative of -157*b**6 + 2*b**5 + 292*b**2.
-18840*b**3 + 120*b**2
Differentiate -113*g*t**3 - g*t**2 + 316*t**3 - t**2 wrt g.
-113*t*... | {
"pile_set_name": "DM Mathematics"
} |
.3
a
Let h(w) = -w**3 + 6*w**2 + 4*w - 20. Suppose -24*y + 15*y + 54 = 0. Let u be h(y). Which is the nearest to -0.1? (a) 0.3 (b) u (c) 3
a
Let u = 18.5 + 4.5. Let v = u - 23.3. Which is the nearest to -2/5? (a) v (b) -5 (c) 3
a
Suppose 605 = 11*a - 220. Let b = a - 80. What is the closest to 0 in b, -1/11, -3/5... | {
"pile_set_name": "DM Mathematics"
} |
- 11 + 124*n**3.
266*n**3
Collect the terms in 127 - 5*b**2 - 37 - 40 - 50.
-5*b**2
Collect the terms in -114*y - 55*y + 161*y.
-8*y
Collect the terms in 3*b**2 - 16*b**2 + 41*b**2.
28*b**2
Collect the terms in 60*o**2 - 8 - 8*o + 8*o - 62*o**2.
-2*o**2 - 8
Collect the terms in -2*m + 30 + 4*m + m - 7 - 6*m.
-3*m + 23... | {
"pile_set_name": "DM Mathematics"
} |
/1020
What is prob of picking 1 c, 1 a, and 1 i when three letters picked without replacement from ciaccjic?
1/7
Calculate prob of picking 1 u and 1 d when two letters picked without replacement from uxhjxdjhbjh.
1/55
Four letters picked without replacement from {t: 4, n: 2, l: 4}. What is prob of picking 4 t?
1/210
Tw... | {
"pile_set_name": "DM Mathematics"
} |
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