text stringlengths 270 8.19k | meta dict |
|---|---|
oes 4 divide 22036?
True
Is 76 a factor of 8284?
True
Is 6530 a multiple of 5?
True
Does 7 divide 560?
True
Is 76 a factor of 2302?
False
Does 14 divide 252?
True
Does 15 divide 675?
True
Does 36 divide 693?
False
Is 3720 a multiple of 124?
True
Does 8 divide 23873?
False
Is 43 a factor of 2150?
True
Does 7 divide 317?... | {
"pile_set_name": "DM Mathematics"
} |
- -35a?
-1039
In base 9, what is 165271 - -3?
165274
In base 11, what is -25471 - -4?
-25468
In base 2, what is -101 + 10100100101000010111?
10100100101000010010
In base 13, what is b5 + c71?
1056
In base 15, what is 2 + 2ee0?
2ee2
In base 9, what is -207 + -8655?
-8863
In base 4, what is -3013010 + -3?
-3013013
In bas... | {
"pile_set_name": "DM Mathematics"
} |
from {v: 4, b: 7, y: 7}. What is prob of sequence bbv?
7/204
Four letters picked without replacement from dnekkdelledplelekddl. Give prob of sequence depl.
25/23256
What is prob of sequence cyy when three letters picked without replacement from byklyykkckkbyylyb?
1/136
Two letters picked without replacement from {g: 1,... | {
"pile_set_name": "DM Mathematics"
} |
+ 2. Let p = 3 + -2. Let z(g) = -g**2 - g - 1. Calculate p*z(t) + v*d(t).
2*t**2 + 1
Let l(n) = -6*n**2 + 5*n + 2. Let c(m) = -17*m**2 + 14*m + 5. Determine 3*c(y) - 8*l(y).
-3*y**2 + 2*y - 1
Let y(n) be the third derivative of n**3/6 - 26*n**2. Let p(g) = -5*g**2 + 4. What is -p(t) + 4*y(t)?
5*t**2
Let a be (-1 + 1)*(... | {
"pile_set_name": "DM Mathematics"
} |
)*n**(-2/3))**47 assuming n is positive.
n**(-2911/285)
Simplify (f**10/f*(f*f/f**(-2/5))/f)**15/((f*f**(5/2))/f*f/(f*(f/((f**(-1/14)/f)/f))/f)*f*f**(-7)*f*f*f**(-3)) assuming f is positive.
f**(1138/7)
Simplify (q**3/q*q**1*q**(-3)*q*q*(q**4/q)/q)/(q**0/q*q/((q/q**(-3/5))/q*q))**3 assuming q is positive.
q**(44/5)
Sim... | {
"pile_set_name": "DM Mathematics"
} |
5446*t/5 - 65299592/3 = 0. Calculate t.
-2857, 20
Factor -4*i**2 - 19872*i + 119376.
-4*(i - 6)*(i + 4974)
What is p in -25*p**5 + 3490*p**4 - 18325*p**3 - 57940*p**2 - 46820*p - 10720 = 0?
-1, -2/5, 8, 134
Solve j**3/10 + 349*j**2/10 + 17696*j/5 + 411906/5 = 0 for j.
-158, -33
Factor -27*v**3 + 8152*v**2/3 - 207700*v/... | {
"pile_set_name": "DM Mathematics"
} |
.
1
Let o(f) = -f**3 - f**2 + 4*f + 2. Let v(j) = j - 4. Let c = -9 + 12. Let l be v(c). Let x be l - (6/3 + 0). What is o(x)?
8
Let i(j) = 3*j**3 + j**2 + j. Let m(d) = -d - 11. Let t(r) = r - 2. Let g be t(-5). Let k be m(g). Let z(p) = p + 3. Let u be z(k). Calculate i(u).
-3
Suppose 3*p - 3 = 2*p. Suppose 2*a + 8 =... | {
"pile_set_name": "DM Mathematics"
} |
884*u
Let n(u) = -3*u**2 - u + 1. Let h(b) = -17*b**2 - 6*b + 5. Let a(x) = -2*h(x) + 11*n(x). Let d(j) = -3*j**2 - 6*j - 11. Calculate -5*a(l) - d(l).
-2*l**2 + l + 6
Let l(u) = -u - 1. Let c(v) = 2*v + 10. Let z(a) = -c(a) - 3*l(a). Let w be z(-4). Let p(b) = -b**2 - 6*b. Let q(i) = 2*i**2 + 11*i. What is w*p(r) - 6*... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 2*w - 1. Let a be h(t). Solve 4 = -a*r - 2 for r.
-2
Let z(p) = p**3 - 8*p**2 + 4*p + 24. Let s be 20/3 + 4/12. Let f be z(s). Solve u - f = -1 for u.
2
Suppose -10*h = -15 - 25. Solve h = 9*u - 5 for u.
1
Let i be 23 + (10 - 0) + -9. Solve t - i = 7*t for t.
-4
Let d = 39 + -38. Suppose 3*o - d + 4 = 0, 5*o = -2... | {
"pile_set_name": "DM Mathematics"
} |
pose 0 = -2*k - 0*k - 964. Let s = k + 3356/7. What is the common denominator of s and -39/5?
35
Let a = 2/195 + -4363/780. Let n = -1 + -2. What is the common denominator of a and 2/n*101/8?
12
Let d be ((-40)/(-6))/((-2)/(-6)). Let i = -12 + d. What is the lowest common multiple of i and (6*7/14)/((-1)/(-3))?
72
Let ... | {
"pile_set_name": "DM Mathematics"
} |
w) be the first derivative of w**2/2 + 2. Let c(f) be the third derivative of 5*f**4/4 - 12*f**2 + 34. Determine c(q(y)).
30*y
Let w(h) = -2*h**2 + 5. Let p(t) = -t**2 + 3. Let n(f) = 5*p(f) - 3*w(f). Let q(r) be the first derivative of 25*r**3/3 - 5254. Calculate q(n(d)).
25*d**4
Let m(w) = 2*w - 191. Let z(q) = 2*q**... | {
"pile_set_name": "DM Mathematics"
} |
posite number?
False
Suppose 4*v = k - 37036, 4*k - 5*v = 146325 + 1808. Suppose 0 = 9*p - 33*p + k. Is p a composite number?
False
Let w(v) = 2*v**2 - 2*v**2 + 12*v**2 - 9*v**2 + 1243 - 5*v**2 + 2*v. Suppose -3*u = -4*u. Is w(u) a composite number?
True
Let q(p) = -p**2 - 22*p + 27. Let b be q(-23). Suppose -b*n + 141... | {
"pile_set_name": "DM Mathematics"
} |
6 = p + 2*z. Let v = p - 35. Let s = -735/8 - -5513/56. What is the common denominator of v and s?
7
Let x be (-160)/6*(-144)/60. What is the smallest common multiple of 14 and (-45)/12*x/(-12)?
140
Let l(a) = 7277*a. Let f be l(-1). Let b = 58145/8 + f. Calculate the common denominator of b and 17/11.
88
Suppose w = z... | {
"pile_set_name": "DM Mathematics"
} |
2 or u?
0.02
Let g = -1041/13 - -80. Let a be (-13 - -6)*22/(-77). Which is smaller: a or g?
g
Suppose 0 = 2*r - 5*t + 182, 3*r + 179 = 5*t - 104. Is -98 >= r?
True
Let c be 80/(-14) - (-8)/(-28). Let g = -4 - c. Let r = 0 - -0.1. Which is smaller: g or r?
r
Suppose 5*i - 15 = -g, -6*i = -4*i - 10. Let r be (4/g)/((-32... | {
"pile_set_name": "DM Mathematics"
} |
et q be 0*(28/8 + -4). Let a be q/4 + -3 + 7. Solve i = -a*r - 20, -5*i - 16 = -2*i + r for i.
-4
Let w be 2/6 + 88/24. Solve 3*l - 8 = -l + 4*z, 0 = -5*l + w*z + 7 for l.
-1
Let r(h) = 4*h**2 + 12*h - 5. Let k(w) = 5*w**2 + 13*w - 6. Let o(p) = 3*k(p) - 4*r(p). Let y be o(-9). Solve l = y*b + 7 + 2, l + 5*b + 12 = 0 f... | {
"pile_set_name": "DM Mathematics"
} |
-812 divided by 116?
-7
Calculate -3 divided by -24.
1/8
Divide 5 by 268.
5/268
Calculate -6328 divided by 226.
-28
Divide -1680 by -336.
5
-1086 divided by -2
543
What is 0 divided by 1124?
0
Divide -36 by -5.
36/5
What is 543 divided by 17?
543/17
Divide 104 by -6.
-52/3
Calculate 5 divided by 141.
5/141
-84 divided... | {
"pile_set_name": "DM Mathematics"
} |
(base 3) to base 11
-729
What is -111010101001 (base 2) in base 5?
-110003
What is 35728 (base 9) in base 5?
1231141
Convert -16144 (base 8) to base 6.
-53352
424141 (base 5) to base 14
52d2
What is c14 (base 15) in base 5?
41334
2212 (base 7) to base 12
561
11001010110 (base 2) to base 16
656
What is 32c8 (base 16) i... | {
"pile_set_name": "DM Mathematics"
} |
c) -5
a
Let g(b) = 5*b**2 + 1. Let u be g(-1). Let x = -6 + 8. Let r = -1.7 + x. What is the smallest value in -0.3, r, u?
-0.3
Let d be ((-27)/(-12) - 1) + -1. Let q = -0.06 + -0.04. Which is the smallest value? (a) -2 (b) d (c) q
a
Let j = -1.2 + 0.2. What is the second biggest value in j, -0.1, -0.4?
-0.4
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
0*v.
-(v - 1)*(v + 1)/2
Let f(h) = -8*h**2 - 4*h. Let x(t) = -t**2 - t. Let z(r) = -f(r) + 4*x(r). Let z(l) = 0. What is l?
0
Let j = 13 + -10. Determine p, given that 0*p + 4*p**j - 1 - 2*p**4 + 3 - 4*p = 0.
-1, 1
Let u = 1/155 + 303/1085. Let m = 8/77 + 2/11. Solve 0*r + 0 - u*r**2 + m*r**3 = 0.
0, 1
Let d(h) be the ... | {
"pile_set_name": "DM Mathematics"
} |
- 32. Determine u(7).
-11
Let f(o) = o**3 + 5*o**2 + 7*o + 8. Determine f(-3).
5
Let c(q) = q**3 + 2*q**2 - 8*q + 3. What is c(-4)?
3
Let o(d) = -3*d - 132. Determine o(-33).
-33
Let w(m) = -3*m**2 + 8*m + 2. Give w(-5).
-113
Let u(q) = -q**2 + 7*q + 31. Give u(10).
1
Let y(a) = a**2 + 9*a - 42. What is y(-12)?
-6
Let... | {
"pile_set_name": "DM Mathematics"
} |
0497 to the power of 1/2, to the nearest integer?
16589
What is the square root of 57222087 to the nearest integer?
7565
What is the third root of 53064827 to the nearest integer?
376
What is the fifth root of 394265431 to the nearest integer?
52
What is 767418368 to the power of 1/5, to the nearest integer?
60
What is... | {
"pile_set_name": "DM Mathematics"
} |
ose -5*o + 5*s - 90 = -325, 143 = 3*o - g*s. Calculate the remainder when o is divided by 23.
22
Suppose -j + 339 = 2*j. Let f = j - 70. Calculate the remainder when f is divided by 11.
10
Suppose -2*g - 1 = 3*k - 5, 0 = -g - 3*k + 2. Suppose -3*u - g*u = -3*v - 31, 4*v + 28 = 5*u. Calculate the remainder when u is div... | {
"pile_set_name": "DM Mathematics"
} |
(m) = -1059*m - 6419. Let r be w(-6). Which is bigger: r or f?
f
Let a = -39341/4 - -9754. Are a and -82 equal?
False
Suppose -113 = a - 3*c + 2*c, 545 = -5*a + c. Let x = a - -99. Let o be 3 - ((-131)/x)/((-145)/(-30)). Is 1 > o?
True
Let r be (40/32 + 1)*4. Let g(z) be the second derivative of -z**3/6 + 5*z**2/2 + z.... | {
"pile_set_name": "DM Mathematics"
} |
d j.
1
Let q = -60 - -84. Calculate the greatest common factor of 6 and q.
6
Let q be (149 - 9) + 3*1. Calculate the highest common divisor of 13 and q.
13
Suppose 2 = 2*m - 22. Suppose 0 = 2*p - 16 - m. Calculate the highest common divisor of 2 and p.
2
Suppose 0*c = 2*c - 16. Suppose 4*p - c = 8*p. Let i(q) = q**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
-54
39
Evaluate 8 + -2 - 13 - (269 - 289).
13
3 + -2 + -14 + -16 + 31 - 5
-3
What is the value of -2 + -13 + 1 + 60 + (-27 - -84) + -15?
88
What is the value of (-44 - (-70 - 13)) + 27?
66
Calculate 2 + -25 - (976 - 946).
-53
Evaluate (-169 - -35) + 27 - (17 - 19).
-105
What is (140 + -62 - (-2 - -13)) + 41?
108
Evalua... | {
"pile_set_name": "DM Mathematics"
} |
is the closest to 3/58? (a) u (b) -5 (c) -1
a
Let w = -46 - -46. Suppose 5*i - 2*d - 13 = 1, w = -i - d. Let u = -0.44 - -0.04. What is the nearest to -2/7 in 4, u, i?
u
Let z = 354 - 355. What is the closest to 1 in 0.3, -0.3, z?
0.3
Let n = 1922 - 1914. What is the nearest to -3 in -2, 0.5, n?
-2
Let g be 1/(-4) ... | {
"pile_set_name": "DM Mathematics"
} |
rivative of -5/24*j**4 + 0*j**3 + 0*j + 0 - j**2. Calculate c(m).
5
Let f(q) = 2*q**2 - 4. Suppose 5*u - 1 = 3*g, 4*g - 4 + 0 = 4*u. What is f(g)?
14
Let y(a) = 5*a - 2 + a**3 - 3*a - a - 5*a**2 + 3*a. Calculate y(4).
-2
Let s(c) = -c**2 + c + 2. Suppose 0 = -11*l + 12*l. Determine s(l).
2
Let w(v) = v**2 + 11*v**3 + 1... | {
"pile_set_name": "DM Mathematics"
} |
d the third derivative of j(b) wrt b.
54
Find the second derivative of -124*u**4 + 85*u - 111*u**4 + 0*u**4 + 95*u wrt u.
-2820*u**2
Suppose j + 20 = 2*d, 4*d + 2*j + j = 20. What is the second derivative of 57*t**3 + 2*t - 57*t**3 + d*t - 5*t**4 wrt t?
-60*t**2
Let t = 3 - 1. Let w be 8/(-6)*(-6)/4. Differentiate w + ... | {
"pile_set_name": "DM Mathematics"
} |
g) = n(g) - 6*v(g). Let t(b) = 0. What is b?
-1, 1, 48
Let a be (-132030)/(-3423) - (-1 + 35). Suppose 8/7*q**4 + 20/7*q**3 + a - 16/7*q - 40/7*q**2 - 4/7*q**5 = 0. Calculate q.
-2, -1, 1, 2
Let z(s) be the second derivative of 4*s**2 - 1/10*s**5 + 5/6*s**4 - 67*s + 0 - 8/3*s**3. Factor z(p).
-2*(p - 2)**2*(p - 1)
Supp... | {
"pile_set_name": "DM Mathematics"
} |
rest 100000.
0
What is -0.002081 rounded to 4 dps?
-0.0021
Round -0.0002025 to 4 decimal places.
-0.0002
What is 464700 rounded to the nearest one hundred thousand?
500000
Round 0.000000567 to 7 decimal places.
0.0000006
What is 0.53262 rounded to two decimal places?
0.53
What is -779 rounded to the nearest one hundred... | {
"pile_set_name": "DM Mathematics"
} |
5? (a) 0.06 (b) -0.128 (c) -1 (d) -17884
a
What is the closest to -91 in 4, -3, 2, -3/46?
-3
Which is the closest to 681? (a) -2/11 (b) -6 (c) 2 (d) -22
c
Which is the closest to 2? (a) 2/3915 (b) 3/4 (c) 9 (d) 5
b
Which is the closest to 0.16? (a) -10/133 (b) 0.2 (c) -2/95
b
What is the closest to 0 in ... | {
"pile_set_name": "DM Mathematics"
} |
y = -3*f, -3*f + a = -2*d - 5 for d.
3
Suppose 2*v + 4*v - 150 = 0. Solve -2*m + c - v = 3*m, m + 4*c = -5 for m.
-5
Suppose 5*v - 65 + 20 = 0. Let y = 3 + -3. Suppose -4*b = -y*b - 8. Solve -b*n + s = -0 - 3, -5*n + v = -s for n.
2
Let o = -4 - -8. Solve o*w = 3*d - 5*d - 18, w - 8 = 2*d for w.
-2
Let n = -17 - -17. ... | {
"pile_set_name": "DM Mathematics"
} |
ng order.
w, b, x
Suppose i + 6 = -2*i. Let l = 0.9 - 0.91. Let u = l - -0.01. Put i, u, 4 in descending order.
4, u, i
Let c be (1*(-5)/(-75))/(38/(-475)). Let o = 3.4 + 0.6. Let z = o + -3.8. Sort z, c, -1 in increasing order.
-1, c, z
Let g be ((-3)/(-4)*1)/((-14)/112). Put g, -3, 1 in ascending order.
g, -3, 1
Let ... | {
"pile_set_name": "DM Mathematics"
} |
.
sqrt(11)/6
Simplify (-2*(sqrt(1377) + -1))**2 + 5*(1 + sqrt(1377)).
-27*sqrt(17) + 5517
Simplify (-1*sqrt(720) + -4)**2 - (3 + (0 + sqrt(720) - sqrt(720)) + sqrt(720) + sqrt(720))**2.
-2153 - 48*sqrt(5)
Simplify -6*(sqrt(171) + 1)**2.
-1032 - 36*sqrt(19)
Simplify (((sqrt(21) - (sqrt(3024) + -1*sqrt(3024) + sqrt(21)))... | {
"pile_set_name": "DM Mathematics"
} |
be (-6)/(-10) + h/100. Solve 0 = 2*r - 2 - i for r.
2
Suppose 4*b = 2*d + 3080, 27*b + 2310 = 30*b - 5*d. Solve -b = 2*z - 780 for z.
5
Let x(h) = 3*h. Suppose 7*w + 2*w = 0. Let b be x(w). Suppose 0 = -0*g - 4*g - b*g. Solve u + 0*u - 4 = g for u.
4
Suppose -3*u = -j + 4, 0 = 2*j - 2*u - 5 + 1. Let z(s) = s**2 - 4*s ... | {
"pile_set_name": "DM Mathematics"
} |
, -17 + 47 = 3*g + 4*m. Suppose 0 = 10*l - g*l - 8, 3*c = 5*l - 1. Solve 2*f - 11 = 5*q - 39, 5*f = c*q - 32 for q.
4
Let j(s) = -s**3 + 5*s**2 + s - 3. Suppose -n + 3*n + a - 5 = 0, 4*a = 2*n - 30. Let x be j(n). Solve 0 = -3*z - 15, -3*c - z = x - 0 for c.
1
Let j(r) = 2*r**2 + 3*r - 17. Let c be j(8). Let a = c + -1... | {
"pile_set_name": "DM Mathematics"
} |
, -n + 51 = 2*v - 0*n. Suppose -3*c = -205 - v. List the prime factors of c.
7, 11
Let l(k) = k**2 + 4*k + 7. Let i be l(-2). Suppose -5*j = 2*m + m, -3*m = -3*j. Suppose -3*s + 4*r + r = -99, m = i*s + r - 81. What are the prime factors of s?
2, 7
Let i = -28 - -22. Let t(g) = -7*g - 1. What are the prime factors of t... | {
"pile_set_name": "DM Mathematics"
} |
= n**2 + 6*n + 1. Let z be ((-28)/84)/(3/81). Calculate i(z).
28
Let q(u) = 2*u + 12. Let o be (-66)/(-18)*-3 - -3. Determine q(o).
-4
Let j(c) = 2*c + 5. Let o(u) = -15*u**3 - 2 - u + 3*u**2 + 14*u**3 + u. Let g be o(2). Suppose -6 = -3*r - 3*a, r = g*a + 3 + 8. Give j(r).
15
Let u = 6 - 4. Suppose -u*a = 3*a. Let t(... | {
"pile_set_name": "DM Mathematics"
} |
5*y - 2 = 0, -4*y = -o + 9 - 4 for o.
1
Let b be -5*1*3/(-5). Solve y - b*y = -2, 4*y = -2*d + 14 for d.
5
Let s be (-2 + (-36)/(-8))*(-12)/(-10). Solve -5*u = 5*n + 5, u = -2*n + s*n + 5 for n.
-3
Suppose -v = -64 + 60. Solve 0 = 4*k - 5*u - 32, -4*k + v*u + 28 = -0*u for k.
3
Let k(w) = -3*w**3 - 4*w**3 + 3*w**3 + w... | {
"pile_set_name": "DM Mathematics"
} |
a) 0.7 (b) 8 (c) -5 (d) -12 (e) 3 (f) 1
a
Which is the closest to -1/4? (a) 2 (b) -9 (c) 69 (d) 0.3 (e) 4898
d
What is the closest to -1/3 in -0.02, -1797, -4, 0.3, 132?
-0.02
Which is the nearest to 0.1? (a) 5 (b) -1 (c) -1456 (d) -2/1093
d
What is the nearest to 161 in 64, 0.4, 0.1, 1?
64
Which is the n... | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of 55892*p*v**2 - 202*p*v - 48*p - 817*v**2 + 8280*v wrt v.
111784*p - 1634
What is the third derivative of 408*j**2*n**3 + 320*j**2*n**2 - 2*j**2 - 12941*j*n**3 - 2*j + 8*n**3 - 32*n + 133 wrt n?
2448*j**2 - 77646*j + 48
What is the derivative of 50*v**3 + 10142*v - 34407249?
150*v**2 + 10142
What... | {
"pile_set_name": "DM Mathematics"
} |
+ -6. Suppose 3*g + 3*p - 273 = 0, -5*g = t*p + 310 - 759. Suppose -4*k + 4*x + g = 0, -6*x = -x - 15. Does 11 divide k?
False
Let q(z) = z**2 - 8. Suppose 0 = 4*t + 3*j - 11, -5*t = -j + 2*j - 22. Suppose n = t*n - 24. Does 14 divide q(n)?
True
Is 9 a factor of (180 - 21) + 1*3?
True
Let g = -71 + 103. Let r = 5 + -10... | {
"pile_set_name": "DM Mathematics"
} |
Suppose a + 47 = -5*n - 0*a, -n = 5*a - 5. Let b be 714/51 - (-14)/(-2). Let u be -2 + (b - (n + 5)). Solve 2*c = -3*z + u, -2*c - 3*z = -3*c - 13 for c.
-1
Let l be 183/(-3 - 0 - -2). Let r be (-3)/18 - l/18. Let n be 4/(7 + 1)*r. Solve -5*u - n*o = -0*u + 30, 0 = -o - 4 for u.
-2
Let c = 19182 - 19177. Solve 25 = -c*... | {
"pile_set_name": "DM Mathematics"
} |
r**2 - 6*r - 7. Let p be b(7). Suppose 18 = 3*m + 2*z - 4*z, -2*m - 2*z + 22 = p. Suppose -m + 30 = 2*c. Is c a multiple of 11?
True
Let g(j) = j**3 + j**2 + j - 1. Let m be g(1). Is 2 a factor of 7/(-2)*(-4)/m?
False
Suppose -5*m + 295 = 5*r, -174 = -2*r - r - 4*m. Is r a multiple of 15?
False
Let m = 163 - 97. Is 22 ... | {
"pile_set_name": "DM Mathematics"
} |
552, -4555, -4558, -4561?
-4564
What is next in -286035, -570116, -854197, -1138278, -1422359, -1706440?
-1990521
What comes next: -1126, -1248, -1436, -1690, -2010, -2396?
-2848
What is the next term in 5867150, 5867128, 5867094, 5867042, 5866966, 5866860, 5866718?
5866534
What is next in -4174, -33021, -111202, -2633... | {
"pile_set_name": "DM Mathematics"
} |
+ 3. Solve c - i*c - 1 = 0 for c.
-1
Let f(x) = x**2 - 3. Let h be f(-2). Let z be 0/(h/((-4)/(-8))). Solve 2*i - 4 + 6 = z for i.
-1
Let v(u) = -3*u - 3. Let z be v(-2). Suppose -5*m + z*g - 18 = -6, 3*m - 12 = -3*g. Solve m*o + 1 = -o for o.
-1
Suppose -5*b + 9 = -3*x, 5*b + 0*x = 5*x + 5. Let m(l) = 4*l - 3. Let n b... | {
"pile_set_name": "DM Mathematics"
} |
- h - 2. Let q be j(3). Let x = 71 + q. Suppose 3*r - 2*a = -7*a + 2227, -x*r = -4*a - 2209. Is r a composite number?
False
Let d = 2 - 5. Let o be (-1 - d)/(2/(-3)). Is 1/(9/o)*-291 a prime number?
True
Suppose 46*c = 37*c + 99783. Is c prime?
True
Let c = -29 + 34. Suppose 2 + 2 = 3*r + s, -20 = -2*r - c*s. Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
2*m - k for m.
2
Suppose -5*v + 27 = w, -6*v = -8*v + 10. Solve -w*c = 4*u - u, -8 = -2*u for c.
-6
Let j be 35/(-5)*(-4)/14. Let g(m) = 21 - 2*m + 2*m**3 - 7 - 2*m**2 - 13. Let c be g(j). Solve -2*s = 2*n + 7 + 3, -s - c = 5*n for n.
0
Suppose 0 = -44*d - 40 + 103 + 25. Solve 2*x + 40 = -5*t, x - d*t = 4*x + 16 for x.... | {
"pile_set_name": "DM Mathematics"
} |
tive of 36*m + 2 - 40*m + a wrt m?
-4
Let v(y) be the first derivative of -y**6/30 - y**2/2 + 3*y + 3. Let q(c) be the first derivative of v(c). What is the derivative of q(u) wrt u?
-4*u**3
Suppose -3*a - 305 = -5*x - 8*a, 3*x = -a + 187. Find the second derivative of x*m**2 + 3*m - 6*m - 8*m - 56*m**2 wrt m.
14
What ... | {
"pile_set_name": "DM Mathematics"
} |
**4 - 3*t**2 - 3*t + 148. Let s(g) = -3*c(g) - 10*j(g). Find the first derivative of s(h) wrt h.
20036*h**3
Let d = -450 - -1065. Differentiate -131*j**3 + d - 832 - 23*j**3 wrt j.
-462*j**2
What is the third derivative of 1068*g**6 + 2990*g**2 + 5275*g**6 - 148*g**6 wrt g?
743400*g**3
Suppose -3*a = 5*b - 1445, 0 = -3... | {
"pile_set_name": "DM Mathematics"
} |
6?
-1/1186
What is the nearest to -2/7 in -4, 2/5, -0.2, 2, 38?
-0.2
Which is the nearest to 1/12? (a) -273 (b) 1/2 (c) 3
b
Which is the nearest to 2/7? (a) -19 (b) -2 (c) -0.34 (d) 0.5 (e) -16
d
What is the nearest to 4 in 9, 4, 5, -3?
4
Which is the nearest to 1/3? (a) 5/6 (b) 3080 (c) 9 (d) -2/5 (e) 1
a... | {
"pile_set_name": "DM Mathematics"
} |
of i?
2
Let z = -7 + 9. Suppose 0*t = -z*t - 60. Let v = 3 - t. What is the units digit of v?
3
Suppose 0 = -4*z + 19 - 3. Suppose -3*l + i = 3*i - 254, 3*i + 367 = z*l. What is the tens digit of l?
8
Suppose 1881 = 5*y + z, 2*z = -y + 5*y - 1502. Suppose -3*s = -5*m + 634, 4*s = -0*m + 3*m - y. What is the hundreds d... | {
"pile_set_name": "DM Mathematics"
} |
20 is divided by 21?
16
What is the remainder when 604 is divided by 12?
4
Calculate the remainder when 13726 is divided by 199.
194
Calculate the remainder when 50 is divided by 27.
23
What is the remainder when 314 is divided by 15?
14
What is the remainder when 89 is divided by 5?
4
What is the remainder when 19798 ... | {
"pile_set_name": "DM Mathematics"
} |
13) + 187209
Simplify (sqrt(153) - sqrt(153)*1) + -5 + sqrt(153) + 0 + sqrt(153) + -1 - ((sqrt(153)*2 + 2)*4)**2.
-9862 - 378*sqrt(17)
Simplify ((sqrt(1980)*-2*-4)/(sqrt(5) + (2*sqrt(80) - sqrt(80)) + sqrt(405)))**2.
6336/49
Simplify (sqrt(475) + -1 + -4 + sqrt(475) - sqrt(475) - sqrt(475))**2 - (4 + -1*sqrt(171)).
3*s... | {
"pile_set_name": "DM Mathematics"
} |
2/(-10)). Solve -o*b = -7*b + 10 for b.
2
Suppose -9*u + 30 = u. Solve 2*r = -u*r - 15 for r.
-3
Let a(j) be the first derivative of -1/4*j**4 + 0*j - 2 + 4/3*j**3 - j**2. Let s be a(3). Solve s*b + b = 8 for b.
2
Let i(l) = 2*l**3 + 99*l**2 - 151*l + 117. Let d be i(-51). Solve y = 4*y + d for y.
-5
Let s(u) = u**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
0
Round -2.34448647 to 3 dps.
-2.344
Round -0.000377893648 to six decimal places.
-0.000378
What is 236829.618 rounded to the nearest ten thousand?
240000
Round -6446.470797 to 1 decimal place.
-6446.5
Round 0.000471422679 to 6 dps.
0.000471
Round 4458925.0859 to the nearest 100000.
4500000
Round -0.429187464 to 5 dps.... | {
"pile_set_name": "DM Mathematics"
} |
+ 1 = 4*n + f*h, -r*h = -n + 2 for n.
2
Let n be 3 + -2 + 1/(-1). Let z = n - -6. Let u be 2 + 0/(-1) - 0. Solve z*t = t + 5*o - 5, -o + 7 = u*t for t.
2
Let p(h) = 2*h - 2. Let x be p(9). Let c = 19 - x. Solve 5*r + 15 = -5*o, -2*o + 1 = 3*o - c*r for o.
-1
Let z(a) = 3*a. Let o be z(1). Let n = -2 + o. Let w be -2 + ... | {
"pile_set_name": "DM Mathematics"
} |
ect to g.
-4
Let p(o) be the third derivative of -99*o**8/112 - 757*o**4/8 - 9*o**2 + 29*o. What is the second derivative of p(x) wrt x?
-5940*x**3
Find the second derivative of 523*m**2 - 21*m - 6*m + 2527 - 2527 - 170*m**2 wrt m.
706
Let c(j) be the third derivative of -251*j**5/15 - 491*j**3/3 - 31*j**2 - 7*j. Find ... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(12)) + sqrt(12) + sqrt(12)).
16*sqrt(13)/3
Simplify -4*sqrt(133)/(sqrt(42)/sqrt(6)).
-4*sqrt(19)
Simplify (sqrt(4500)*3 - sqrt(4500) - sqrt(4500))/(sqrt(54)/sqrt(6)*-6).
-5*sqrt(5)/3
Simplify -2*(sqrt(700)/sqrt(4) + -1).
-10*sqrt(7) + 2
Simplify 5*(sqrt(11) - sqrt(176)) + -1 + sqrt(11) + sqrt(22)/sqrt(2).
-13*sqrt... | {
"pile_set_name": "DM Mathematics"
} |
- m**2 + 3*m**2 + (4 - 4 - m)*(2*m + 2*m - 3*m) + 6*m**2 - 5*m**2 + 7*m**2.
12*m**2
Expand (5 - 1 - 1)*(2*z**2 + z**2 - 2*z**2) + 17 - 17 - 21*z**2.
-18*z**2
Expand -46*w**5 + 16*w**5 + 19*w**5 + (w**3 + 3*w**3 - 2*w**3)*(3*w**2 + 2*w**2 - 4*w**2) - 4*w**5 + 5*w**5 + w**5 - 3*w**5 + 3*w**5 + 2*w**5.
-5*w**5
Expand (3 -... | {
"pile_set_name": "DM Mathematics"
} |
by 148?
136
Let r = -8411 - -8628. Calculate the remainder when r is divided by 29.
14
Suppose 0 = 4*l + l - 1310. Let v = 4221 - 4197. What is the remainder when l is divided by v?
22
Suppose 40*h - 130*h + 9090 = 0. What is the remainder when 831 is divided by h?
23
Let o(n) = 6*n**2 - 16*n - 270. Calculate the rema... | {
"pile_set_name": "DM Mathematics"
} |
the nearest 100.
-500
Let l = 125 + -8. Suppose -2*i - l = -q, -2*q = 2*i - 0*i - 210. Suppose -2*v - 5*o = q - 24, 5*v - o + 226 = 0. What is v rounded to the nearest 10?
-50
Let s = 24.000035 - 24. What is s rounded to 5 dps?
0.00004
Let s(x) be the third derivative of 507*x**5/20 + 5*x**4/12 + 2*x**2. Let w be s(-1... | {
"pile_set_name": "DM Mathematics"
} |
multiple of 642 and 856.
2568
What is the lowest common multiple of 84 and 7?
84
Find the common denominator of -55/538 and -21/5380.
5380
Calculate the lowest common multiple of 789 and 12.
3156
What is the smallest common multiple of 16 and 2848?
2848
Find the common denominator of -51/253 and -25/11.
253
Calculate t... | {
"pile_set_name": "DM Mathematics"
} |
of k and 64/245.
1960
Let q be -4 + -2 + (-267)/24. Let b = q - -753/40. Find the common denominator of (99/84)/(0 + 1) and b.
140
Suppose 1085*d - 1074*d - 88 = 0. Suppose -2*p = 2*c - p - 8, 4*p = 0. Calculate the smallest common multiple of ((-4)/d*1)/((-7)/112) and c.
8
Let a(v) = -v + 40. Suppose 0 = 11*g + 5*g -... | {
"pile_set_name": "DM Mathematics"
} |
2}.
4/55
Two letters picked without replacement from uqqqqquuruqr. Give prob of picking 1 r and 1 q.
2/11
Two letters picked without replacement from vwwwwawawvxvwivv. What is prob of picking 1 i and 1 w?
7/120
Calculate prob of picking 1 g and 1 p when two letters picked without replacement from mpprmgrzx.
1/18
What ... | {
"pile_set_name": "DM Mathematics"
} |
-5*v - m + 4*m + 8 = 0, v = 2*m - 4. Calculate the remainder when v is divided by s(7).
0
Suppose -b = 2*s - 33, -4*b - s - 121 = -9*b. Calculate the remainder when 74 is divided by b.
24
What is the remainder when (2 - (-106)/1) + 17/17 is divided by 40?
29
Let j(x) = -x**3 - 10*x**2 + 4*x - 41. Calculate the remainde... | {
"pile_set_name": "DM Mathematics"
} |
t z be f(17). What is the nearest to 0.1 in 2, z, 2/7, 0.201?
z
Let s(v) = v**2 - 16*v + 6. Let x be s(16). Suppose -4*j + x = -2. Let k = -0.6 - -1. Which is the closest to -2? (a) k (b) j (c) -2/11
c
Let z = 9.32 - 9.3. Which is the closest to 0.1? (a) 5 (b) z (c) 2/7 (d) 1
b
Let x = -1/203 + -199/812. Which i... | {
"pile_set_name": "DM Mathematics"
} |
Solve 3*d = -4*a - 25, 8*a - 31 = 38*a - 4*d + 51 + 26 for a.
-4
Solve -5*j + 7*j + 3*y + 31 = 0, 0 = -2*j - 3*y + 5*y + 24 for j.
1
Solve 4*j - j = 7*j - 0*j + 6*u - 38, -21*j = -u - 37 for j.
2
Solve -4*u + 0*u + 20*l + 76 = 0, -24*u - 10*u - 74 = -36*u - 2*l for u.
34
Solve -a + n + 1889 - 1914 = 0, 0 = a - 111*n -... | {
"pile_set_name": "DM Mathematics"
} |
0
Find p, given that -4*p**4 - 132*p**3 - 1128*p**2 - 256*p + 6144 = 0.
-16, -3, 2
Solve h**5/2 - 3871*h**4/2 - 38797*h**3/2 - 50513*h**2/2 + 116448*h - 69858 = 0.
-6, 1, 3881
Find x such that 3*x**2 - 901155*x - 901158 = 0.
-1, 300386
Solve -2*o**3/7 + 621*o**2/7 + 312*o/7 - 311/7 = 0.
-1, 1/2, 311
Factor n**4/7 - 394... | {
"pile_set_name": "DM Mathematics"
} |
2*x + 0*x**4 - 68*x**2 + 68*x**2 wrt x?
-48*x**2
What is the first derivative of -20*f + 26 + 5 - 42*f wrt f?
-62
What is the second derivative of -16*y - 5*y**2 + y**2 - 9*y**2 - 2*y**2 wrt y?
-30
Let o(v) be the third derivative of -v**7/105 - v**3 + v**2. Find the first derivative of o(j) wrt j.
-8*j**3
What is the... | {
"pile_set_name": "DM Mathematics"
} |
ler: 0 or w?
w
Let y(d) be the first derivative of d**4/2 - d**3/3 + d**2/2 - d + 2. Suppose 5*b - x - 6 = 0, 3*x + x = -4. Let o be y(b). Are o and -1/5 nonequal?
True
Let o = -365731/483483 - -1/24794. Let s = -12/13 - o. Is 1 smaller than s?
False
Let w be ((-3)/(-9))/(4/(-36)). Do -3 and w have different values?
Fa... | {
"pile_set_name": "DM Mathematics"
} |
**3 assuming y is positive.
y**(928/7)
Simplify ((u*u*((u/(u/(u**(5/6)*u)))/u)/u*u*(u*u*u**(-27))/u)/(u/(u/u**(-13))*u**(-19)))**(-38) assuming u is positive.
u**(-1007/3)
Simplify ((j**(-1/11)*j**(2/3))/(j**(1/7)/(j/((j/(j/(j*j**(-5/6))))/j))))**(-19/3) assuming j is positive.
j**(-6631/462)
Simplify ((c**(-1)/(c/c**1... | {
"pile_set_name": "DM Mathematics"
} |
4 (b) 15 (c) -0.13 (d) -0.04 (e) 0.1 (f) 0.4
a
Which is the second biggest value? (a) 553/6 (b) 5 (c) -5 (d) -1 (e) 0.14 (f) 0.2
b
What is the fourth smallest value in -144, -2/7, -0.07, 0, 4?
0
Which is the third smallest value? (a) 1 (b) -74/7 (c) 0.3 (d) 123/83
a
Which is the smallest value? (a) -3/2... | {
"pile_set_name": "DM Mathematics"
} |
when 253 is divided by 33.
22
What is the remainder when 101 is divided by 25?
1
What is the remainder when 84 is divided by 35?
14
Calculate the remainder when 671 is divided by 668.
3
Calculate the remainder when 3990 is divided by 1992.
6
Calculate the remainder when 282 is divided by 41.
36
Calculate the remainder... | {
"pile_set_name": "DM Mathematics"
} |
at is the fourth smallest value in -0.2, w, 5, 3/2?
5
Let m = 101 - 99. Let v = -0.3 + 0.6. What is the second smallest value in -2/9, v, m?
v
Let t = -56.99 - -55. Let b = 0.01 - t. Let z = -24.5 - -24. What is the second smallest value in b, -3, z?
z
Let u = 0.31 - 5.31. What is the second smallest value in -2/3, 0.5... | {
"pile_set_name": "DM Mathematics"
} |
).
-x**3 + 4*x - 1
Let r(g) = 25*g**3 + 7*g**2 - 13*g + 27. Let m(d) = -d**3 + 2*d**2 - 3*d - 1. What is -4*m(v) + r(v)?
29*v**3 - v**2 - v + 31
Suppose -46*c + 79 = -427. Let n(j) = 2*j. Let r(p) = 10*p + 1. Let i be ((-6)/(-4))/(21/(-28)). Give c*n(y) + i*r(y).
2*y - 2
Let a(b) = 11*b - 18. Let m(r) = -5*r + 4708 - 4... | {
"pile_set_name": "DM Mathematics"
} |
et j = 1 - x. Let i be (1*12)/3 - j. Solve 0*o - i = o for o.
-5
Let s(n) = -3*n**2 - n + 1. Let g(r) = -9*r**2 - 4*r + 3. Let z(f) = 2*g(f) - 7*s(f). Let w be z(2). Let t be 2/7 + (-201)/(-7). Solve 0 = -5*m + t - w for m.
4
Suppose 5*i = -3*t - 11, i + 31 = -5*t - i. Let g = -2 - t. Let p = -1 + g. Solve 0 = d + p*d ... | {
"pile_set_name": "DM Mathematics"
} |
r w.
4
Solve n + 25*i + 323 = 0, -994*n + 992*n - 6*i - 74 = 0 for n.
2
Solve -6*c + 3*c - 69 = 6*m, -60*m - 79 = -54*m + c for m.
-14
Solve 96*i = -169*r + 172*r + 3564, 2*i - 3*r - 57 = i + 2*r for i.
37
Solve -4*p - 36 = 4*y, 142399*p - 142401*p + 30 = -2*y for y.
-12
Solve -471892*d + 471895*d = 9, 3*d - 2 - 22 = -... | {
"pile_set_name": "DM Mathematics"
} |
.909492. Let l = 1119 - p. Let o = -0.091 - l. What is o rounded to 4 decimal places?
-0.0005
Let t be 4/(-88) + (-4677464023)/(-506). Round t to the nearest one hundred thousand.
9200000
Let r = -2034 - -1231. Let w = -867.7 - r. What is w rounded to the nearest 100?
-100
Let y = -36.1 - 125.9. Let k = -149.98314715 -... | {
"pile_set_name": "DM Mathematics"
} |
3 + 24*k**2 - 32*k. Factor y(d).
(d + 12)*(11*d - 2)**2
Let o(i) be the third derivative of 0*i - 1/20*i**5 - 9*i**2 - 8*i**3 + 0 + i**4. Factor o(w).
-3*(w - 4)**2
Let c(m) = 2*m**2 + 20*m + 18. Let a be c(-13). Factor 245*r**4 + a*r**2 - 2*r**2 - 385*r**3 - 20*r + 66*r**2.
5*r*(r - 1)*(7*r - 2)**2
Let v(n) be the fir... | {
"pile_set_name": "DM Mathematics"
} |
inutes before 6:07 AM?
6:37 PM
What is 77 minutes before 10:38 AM?
9:21 AM
How many minutes are there between 11:24 PM and 3:22 AM?
238
What is 223 minutes before 5:41 AM?
1:58 AM
What is 586 minutes before 9:33 PM?
11:47 AM
What is 677 minutes after 10:51 AM?
10:08 PM
How many minutes are there between 9:37 AM and 2:2... | {
"pile_set_name": "DM Mathematics"
} |
a multiple of 213?
False
Is 874178 a multiple of 268?
False
Does 27 divide 8768817?
True
Does 96 divide 846513?
False
Does 12 divide 135756?
True
Does 211 divide 9336183?
False
Does 1612 divide 31445284?
True
Does 17 divide 132203?
False
Is 275911 a multiple of 123?
False
Does 10 divide 1167530?
True
Is 2009760 a mult... | {
"pile_set_name": "DM Mathematics"
} |
g be a(3). Let l = -9 + g. Let z = -61 + 63. What is the greatest common divisor of z and l?
2
Suppose -n - 4185 = -68*n + 22*n. Suppose -310 = -4*a - a + u, -4*a = 3*u - 248. Calculate the highest common factor of a and n.
31
Suppose 0 = 4*r + r - 160. Let q = 179 + -93. Suppose -o = -2*a + q + 38, -236 = -4*a + 5*o.... | {
"pile_set_name": "DM Mathematics"
} |
-1 - 3 = -4*x. Let h(p) = -44*p**2 - p + 1. Let r be h(x). Let i = 91 - r. What is the hundreds digit of i?
1
Let p(x) = 99*x**3 + 44*x**2 - 17*x + 171. What is the ten thousands digit of p(7)?
3
Let b be 2670/(-24) + 3*(-1)/(-12). Let w = b - -109. What is the units digit of (-52)/((-9)/((-27)/w))?
8
Let i = -112 + 1... | {
"pile_set_name": "DM Mathematics"
} |
1 + sqrt(11) + sqrt(11))*-6)**2.
-144*sqrt(11) + 1624
Simplify sqrt(52)/(sqrt(44)/(sqrt(66)/sqrt(6))).
sqrt(13)
Simplify ((sqrt(80) - (sqrt(80) + 2*sqrt(80)))/sqrt(8))/(sqrt(2) - sqrt(98)*2).
2*sqrt(5)/13
Simplify 5*(sqrt(70)*-1*-2 - sqrt(70))/(sqrt(80)/sqrt(128)).
20*sqrt(7)
Simplify -1 + -4*-2*sqrt(500).
-1 + 80*sqr... | {
"pile_set_name": "DM Mathematics"
} |
llimeters?
300
How many minutes are there in twenty-nine sixths of a week?
48720
Convert 55124.89 centuries to decades.
551248.9
What is 6.9812226 minutes in days?
0.00484807125
Convert 669001.6 meters to centimeters.
66900160
Convert 70.47726 millennia to decades.
7047.726
How many nanograms are there in 37/2 of a mic... | {
"pile_set_name": "DM Mathematics"
} |
the highest common divisor of k and 29?
29
Suppose -4*v - t + 38 = 0, -74*v + 79*v - 4*t = 58. Calculate the highest common divisor of v and 375.
5
Let v = -629 - -639. What is the greatest common factor of 8 and v?
2
Suppose 22 = 4*n + 6. Suppose 5*k + 30 = z, -2*z = -n*z + 3*k + 25. What is the greatest common factor... | {
"pile_set_name": "DM Mathematics"
} |
f.
-2
Suppose 3*a = 4*a - 5*j + 455, -4*a + 3*j = 1735. Let n = a - -440. Solve 3*r = f - n, -4*f + 3*r + 17 = -5 for f.
4
Let i = 112 + -94. Let y = i + -12. Solve 2*f + 2*a + 4 = -y, 3*a = -4*f - 18 for f.
-3
Suppose -d + 495 = 5*a, 0 = 3*a + 2*d + 2*d - 280. Let l = -95 + a. Solve l*m - 3*x - 23 = 0, -x = 3*m - m -... | {
"pile_set_name": "DM Mathematics"
} |
01 PM?
709
How many minutes are there between 10:31 AM and 1:07 PM?
156
How many minutes are there between 9:47 PM and 5:58 AM?
491
How many minutes are there between 12:16 PM and 9:15 PM?
539
What is 680 minutes after 3:10 AM?
2:30 PM
What is 405 minutes before 6:00 AM?
11:15 PM
What is 6 minutes after 12:47 PM?
12:53... | {
"pile_set_name": "DM Mathematics"
} |
1 + 3 + -2 + sqrt(117)/sqrt(9)))**2.
52
Simplify -4*((sqrt(252) + -5 - sqrt(252)) + -5 + sqrt(252))*4.
-96*sqrt(7) + 160
Simplify -4 + (sqrt(20)/sqrt(5))/sqrt(2) + (sqrt(18) + sqrt(18) + -1 - (-1*sqrt(2) + -1)**2).
-8 + 5*sqrt(2)
Simplify -4 + (-3 + sqrt(567))**2 + sqrt(1008) + 2.
-42*sqrt(7) + 574
Simplify -2*(-5 + (3... | {
"pile_set_name": "DM Mathematics"
} |
.
-43*sqrt(17)
Simplify -2*2*sqrt(99) + -2 + sqrt(1331)*1 + 5.
-sqrt(11) + 3
Simplify (-1 + sqrt(343) + -1 - (0 + sqrt(252) + 0 + sqrt(252)))*-6.
12 + 30*sqrt(7)
Simplify -2*(-4*(5 + sqrt(75))*-6*-4)**2.
-1843200 - 921600*sqrt(3)
Simplify (2*sqrt(4320) - sqrt(4320))/(sqrt(360) + (sqrt(360) - sqrt(360)*-2 - sqrt(360) - ... | {
"pile_set_name": "DM Mathematics"
} |
6700 = 0?
-6, -2, 368945
Find u such that -387*u**4/2 - 32119*u**3/2 + 431588*u**2 + 923474*u - 4784 = 0.
-104, -2, 2/387, 23
Factor 4*n**3 - 213100*n**2 + 2837692800*n + 14193792000.
4*(n - 26640)**2*(n + 5)
Determine d so that -4*d**3/7 + 5068304*d**2/7 + 20273264*d/7 + 20273280/7 = 0.
-2, 1267080
Factor -4*d**3 - 19... | {
"pile_set_name": "DM Mathematics"
} |
- 2. Let c be y(2). Let b = 40 - 23. Let k = c - b. What are the prime factors of k?
3, 5
Let x(a) = 109*a. Let d be x(1). Suppose -l + d = 4*b, 4*l - 5*l = -2*b + 59. Suppose 27 = 5*w - b. List the prime factors of w.
11
Let g be -1 + (1 - 0 - 0). List the prime factors of (g - -1) + 5 - -2.
2
Let h = -39 - -93. Let l... | {
"pile_set_name": "DM Mathematics"
} |
821
List the prime factors of 2249.
13, 173
What are the prime factors of 160709?
160709
What are the prime factors of 3341?
13, 257
List the prime factors of 30144.
2, 3, 157
List the prime factors of 29815.
5, 67, 89
What are the prime factors of 56175?
3, 5, 7, 107
List the prime factors of 334.
2, 167
What are the... | {
"pile_set_name": "DM Mathematics"
} |
thout replacement from bqkcdsd. Give prob of picking 1 k, 1 d, and 2 c.
0
What is prob of picking 3 l when three letters picked without replacement from mlllmmmllmml?
1/11
Calculate prob of picking 1 f and 3 o when four letters picked without replacement from {o: 1, x: 2, y: 1, t: 8, q: 1, f: 1}.
0
Calculate prob of pi... | {
"pile_set_name": "DM Mathematics"
} |
om mbbmbdmaabkkmakbkdk. What is prob of picking 1 a, 2 k, and 1 m?
10/323
Two letters picked without replacement from yyvx. Give prob of picking 1 y and 1 x.
1/3
Two letters picked without replacement from {g: 5, l: 1, y: 4, x: 2, f: 2}. What is prob of picking 1 x and 1 y?
8/91
Calculate prob of picking 2 e, 1 w, and ... | {
"pile_set_name": "DM Mathematics"
} |
118329, -20118331, -20118331, -20118329, -20118325, -20118319, -20118311?
v**2 - 5*v - 20118325
What is the u'th term of 12584, 27436, 42288, 57140, 71992?
14852*u - 2268
What is the n'th term of -95684, -95952, -96396, -97016, -97812, -98784?
-88*n**2 - 4*n - 95592
What is the k'th term of -749, -1777, -3465, -6143, -... | {
"pile_set_name": "DM Mathematics"
} |
h respect to f.
-3
Suppose -21 = 3*z - 30. Let m(f) be the third derivative of 1/20*f**5 + 0*f**4 + 0 - 3*f**2 + 0*f + 2/3*f**z. Find the first derivative of m(r) wrt r.
6*r
What is the third derivative of -2*r**4 + r**2 + 4*r**2 + r**4 wrt r?
-24*r
Let k(f) = 8*f**5 + 2*f**4 + 5*f**2 + 2*f + 2. Let m(r) = -r**5 + r**4... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 4*d + 3 = 3*x - 3, d = 5*x - 10. Suppose 4*g + 23 = w, d = -w - 0*g - g + 43. What is the highest common divisor of w and l?
13
Let g(j) = 3*j - 5. Let b be g(4). Suppose 3*l - 32 = b. Suppose 0*t + 3*t = 117. Calculate the greatest common divisor of l and t.
13
Let h(i) = i**3 - 2*i**2 + 3*i - 2. Let m be h(5)... | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to i in -0.3, -25, -0.4?
-0.4
Let f = 18.96 - -0.04. Let c be 18/(-16) - ((-31)/(-8) + 14 + -18). What is the closest to f in -2, c, 0?
0
Let j = -266 + 262. Let u = -2.994 - 0.006. What is the nearest to 2/13 in 11, u, 0.4, j?
0.4
Let u = 115 + -110.21. Let w = u - 4.39. Which is the closest to -1? (a)... | {
"pile_set_name": "DM Mathematics"
} |
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