text stringlengths 270 8.19k | meta dict |
|---|---|
assuming r is positive.
r**(-56/27)
Simplify p**(-1/7)/p*p/(p**(-1/5)*p)*p*(p**0*p)**(-1/19) assuming p is positive.
p**(3/665)
Simplify (p**(-5/6)*p**(2/17))**(-19) assuming p is positive.
p**(1387/102)
Simplify (d/(d/(d/(d/(d**4*d))))*d)/d*d*d**(2/9)*d/((d/(d**3/d))/d)*d*d/d**(-1) assuming d is positive.
d**(110/9)
... | {
"pile_set_name": "DM Mathematics"
} |
**(2/9)/k)**(4/13))**12 assuming k is positive.
k**(-112/39)
Simplify (i**(1/12))**49 assuming i is positive.
i**(49/12)
Simplify (r*r/r**(-2/3))**(-2/145) assuming r is positive.
r**(-16/435)
Simplify ((h/((h/(h**(11/4)/h))/h))/h)**(1/14) assuming h is positive.
h**(1/8)
Simplify c/c**(-14)*c**10*c assuming c is posit... | {
"pile_set_name": "DM Mathematics"
} |
= 0.13 - -0.27. Let r = -0.8 - -1. Let v = -2.2 + r. Which is the third biggest value? (a) v (b) 0.2 (c) n
a
Let o = -12 + 19. Let u = o + -6. What is the smallest value in 0.5, u, 0.3?
0.3
Let s be 0 - 2/(-4)*2. Which is the smallest value? (a) 0 (b) 5 (c) s
a
Let g = -100.9 + 101. Which is the smallest value? ... | {
"pile_set_name": "DM Mathematics"
} |
st value? (a) -5 (b) m (c) 1
a
Let r be (-2 - -1) + 6/5. Let l = 7.3 + -7. Let t = 0.1 - l. Which is the biggest value? (a) 2/3 (b) t (c) r
a
Let k be 7/(-4 - 10) - (-18)/52. Which is the biggest value? (a) -5 (b) k (c) -1.3 (d) 1/5
d
Let t = 0.063 + 0.337. Which is the fourth smallest value? (a) t (b) 4/9 ... | {
"pile_set_name": "DM Mathematics"
} |
What is the common denominator of c and -57/7?
70
Suppose 6*r - 45 = 3*r. Let g = -11520 - -207241/18. What is the common denominator of ((-284)/(-40))/((-6)/r) and g?
36
Suppose 2 = -3*n + 8. What is the lowest common multiple of n and 12?
12
Let u = -4/49 - -3291/98. Find the common denominator of 40/3 and u.
6
Supp... | {
"pile_set_name": "DM Mathematics"
} |
vddodgddoo. Give prob of picking 1 g and 1 d.
1/13
Two letters picked without replacement from {u: 2, h: 5, s: 4}. What is prob of picking 1 s and 1 u?
8/55
What is prob of picking 1 h, 1 i, and 1 f when three letters picked without replacement from {c: 8, h: 6, i: 3, f: 2}?
12/323
Calculate prob of picking 2 j and 2 t... | {
"pile_set_name": "DM Mathematics"
} |
210860580?
True
Is 47943979 a multiple of 1259?
True
Is 16937097 a multiple of 1693?
False
Is 4175960 a multiple of 8?
True
Is 188 a factor of 62892956?
True
Does 2108 divide 22096056?
True
Is 15 a factor of 84126232?
False
Is 1096359435 a multiple of 1405?
True
Is 1262135616 a multiple of 56?
True
Is 1671950568 a mul... | {
"pile_set_name": "DM Mathematics"
} |
divide v?
False
Let w(p) = 28*p**2 - 25*p + 23. Is w(8) a multiple of 17?
True
Let o be (-2 + 0)*4/2. Let l(n) = -n**3 - 4*n**2 - 3*n + 2. Is l(o) a multiple of 10?
False
Suppose -2*m - 27 = -5*m. Let b(d) = 0*d**3 - d**3 + m*d**2 + 2*d**3 - 2*d - 2. Is 15 a factor of b(-9)?
False
Let q = -33 + 36. Suppose -2*f - 5 = ... | {
"pile_set_name": "DM Mathematics"
} |
x(l) wrt l?
30
Let i(z) be the second derivative of 9*z**8/28 + 2*z**6/15 - z**4/6 - 249*z**2/2 - 3*z - 1. Find the third derivative of i(k) wrt k.
2160*k**3 + 96*k
Let w = 38 + -33. Find the second derivative of 1101*o**w - 1079*o**5 + 6*o + 8*o + 7*o wrt o.
440*o**3
Let x(z) be the second derivative of z**7/70 + 29*z... | {
"pile_set_name": "DM Mathematics"
} |
mber?
True
Is 23707 a composite number?
True
Is 99319 a prime number?
False
Is 151591 prime?
False
Is 1262 a composite number?
True
Is 30631 a prime number?
True
Is 53855 a composite number?
True
Is 9977 prime?
False
Is 1178833 a composite number?
False
Is 2317 composite?
True
Is 4409 a composite number?
False
Is 92135... | {
"pile_set_name": "DM Mathematics"
} |
07 prime?
True
Is 1587805697 composite?
False
Is 1607693306 a prime number?
False
Is 336114299 composite?
False
Is 164910883903 a composite number?
False
Is 258866206 composite?
True
Is 65035084549 prime?
True
Is 81316990219 prime?
True
Is 664553951 prime?
True
Is 4649006059 composite?
True
Is 80215517 composite?
False... | {
"pile_set_name": "DM Mathematics"
} |
6/7 = 0. Calculate u.
-1, 1, 3
Solve -2*o**3 - 76*o**2 - 138*o + 216 = 0 for o.
-36, -3, 1
Determine b so that 15*b**3 - 5*b**2 - 10*b = 0.
-2/3, 0, 1
Let -z**2 + 474*z + 952 = 0. Calculate z.
-2, 476
Suppose 5*r**4/2 - 45*r**3 + 455*r**2/2 - 405*r + 220 = 0. What is r?
1, 2, 4, 11
Factor 3*r**2 + 75*r - 78.
3*(r - 1)*... | {
"pile_set_name": "DM Mathematics"
} |
What is the ten thousands digit of 31236?
3
What is the ten thousands digit of 41184?
4
What is the units digit of 5473?
3
What is the hundreds digit of 927?
9
What is the units digit of 768?
8
What is the hundreds digit of 778?
7
What is the tens digit of 786?
8
What is the units digit of 50236?
6
What is the units di... | {
"pile_set_name": "DM Mathematics"
} |
+ 5*t, -t + 2*t = f*x for x.
0
Suppose -6*w = -21*w + 60. Solve -3*q + 8 = -q, 0 = -d - w*q + 15 for d.
-1
Suppose -4*s = 2*c - 8, s + 5*c = 25 - 23. Solve 3*j - 22 = -j - s*k, -1 = 3*j - 2*k for j.
3
Suppose 5*z - 4*m = 36, -3*z + 4*m = -0*z - 28. Let t(r) = -3*r - 4. Let h be t(-2). Solve 3*d + 3*k + 2 = -z, h*k = -d... | {
"pile_set_name": "DM Mathematics"
} |
2*a**4 + 0*a**4 - a**5 - a.
-a*(a - 1)**3*(a + 1)
Let g be (-602)/924 - 25/(-30). Suppose 4/11 - 2/11*s**3 - 4/11*s**2 + g*s = 0. What is s?
-2, -1, 1
Let p be (-3)/15*7/(-126). Let y(g) be the third derivative of 0*g**3 + 0*g - g**2 + 0 - p*g**5 - 1/36*g**4. Let y(w) = 0. Calculate w.
-1, 0
Let y(q) = -q + 11. Let w b... | {
"pile_set_name": "DM Mathematics"
} |
is 3711879 to the power of 1/3, to the nearest integer?
155
What is 1280342 to the power of 1/2, to the nearest integer?
1132
What is 1432395 to the power of 1/3, to the nearest integer?
113
What is the fifth root of 184632 to the nearest integer?
11
What is 262952 to the power of 1/2, to the nearest integer?
513
What... | {
"pile_set_name": "DM Mathematics"
} |
4 = -4*h, 0 = -4*h + 2*z + 895 - 4719. Is h/8*(7 - 4 - 5) a prime number?
True
Let n(i) = -2*i**3 - 25*i**2 + 4*i + 14. Is n(-27) composite?
True
Suppose -280262 = -91*d + 143070. Let k = 9 - 5. Suppose k*w + d = 8*w. Is w composite?
False
Suppose -10770837 = 45*o - 33857682. Is o composite?
False
Let k be 8/10 + (-121... | {
"pile_set_name": "DM Mathematics"
} |
390 is divided by 1778.
1738
Calculate the remainder when 22019 is divided by 2449.
2427
What is the remainder when 65651756 is divided by 703?
695
Calculate the remainder when 297273 is divided by 627.
75
Calculate the remainder when 6905226 is divided by 23.
5
Calculate the remainder when 6989261 is divided by 232975... | {
"pile_set_name": "DM Mathematics"
} |
l**3 + 7 - 3*l**2 - 5*l - l**2. Calculate a(-5).
21
Let n(x) = -x**2 + 10*x - 1. Suppose -4*d = -q + 30, -5*d - 25 = -q + 10. Determine n(q).
-1
Let u(x) be the first derivative of x**2/2 - 14*x - 20. Give u(0).
-14
Suppose 12 = -8*m - 36. Let l(q) = 7*q + 6. Let u(n) = -15*n - 13. Let s(a) = m*u(a) - 13*l(a). Calcula... | {
"pile_set_name": "DM Mathematics"
} |
11 = -w - 4*j + a, -3*w + 2*j = 13 for w.
-1
Suppose 3*p - 4758 = -4740. Solve a = n + p, -n - 6*a = -2*a - 9 for n.
-3
Let b(v) = -v**2 + 11*v + 160. Let m be b(19). Solve -m*i + 2 = -11*i - 2*s, -2*i - 5*s + 6 = 0 for i.
-2
Let c = 123 - 120. Solve -c*p + 4*k = -11, 3*p - 4*k + 6*k = -1 for p.
1
Suppose -2*x + 4*t = ... | {
"pile_set_name": "DM Mathematics"
} |
ding order.
2/11, -0.1, g, -125
Let x = -1539 + 1568. Put x, -1, 5 in increasing order.
-1, 5, x
Let l = -0.9 - -0.8. Suppose -2*d - 5*j = -6, -3*d + 2*d + 3 = -2*j. Suppose f + 5 = d. Sort -0.2, l, f in ascending order.
f, -0.2, l
Let h = 58 - 34. Let n = h + -24.1. Put n, 0.4, -3/2 in descending order.
0.4, n, -3/2
L... | {
"pile_set_name": "DM Mathematics"
} |
**3/5 - 2204*x**2/5 + 1468*x/5 = 0.
0, 2/3, 734
Suppose 5*c**3 + 2125*c**2 + 14330*c - 125400 = 0. Calculate c.
-418, -12, 5
Suppose 3*b**3 + 2454*b**2 + 12207*b + 9756 = 0. What is b?
-813, -4, -1
Factor -x**2 - 9403*x.
-x*(x + 9403)
Find x such that x**2/7 + 16*x + 535/7 = 0.
-107, -5
Find c, given that -c**2/9 - 826... | {
"pile_set_name": "DM Mathematics"
} |
r when 33272316 is divided by 206660?
56
Calculate the remainder when 312772 is divided by 189.
166
What is the remainder when 11102 is divided by 1611?
1436
Calculate the remainder when 14996823 is divided by 534.
501
What is the remainder when 10375494 is divided by 69633?
177
What is the remainder when 741630 is div... | {
"pile_set_name": "DM Mathematics"
} |
t l be j(-13). Suppose 24 = 4*n + 4*o, -l*n - 3 = o - 15. Solve 4*p = p + n*s + 9, 3*s + 23 = -4*p for p.
-2
Let y = -67 - -66. Let v be 7*y/(-2) + 2/(-4). Solve 2*n = -3*m + n - 4, v*m = -4*n + 11 for m.
-3
Let b be (-620)/(-68) - 4/34. Let w(i) = 23*i - 1 + 0 + b*i. Let u be w(1). Solve 4*o = 3*m + u, -5*o - 1 = 2*m ... | {
"pile_set_name": "DM Mathematics"
} |
2*i = 6, p = 2*p - i + 9. Sort -3, 0, 4, p.
p, -3, 0, 4
Suppose 0 = -2*d - 3*r - 9, -4*r = -4*d - 6*r + 2. Suppose d*q = -5 - 1. Suppose 0 = -2*f + 2*l - 1 + 11, -2*l + 5 = 3*f. Put -4, q, f in descending order.
f, q, -4
Let s(u) = -u + 2. Let y be s(-8). Let m(c) = -c**3 + 10*c**2 + 5. Let g be m(y). Let w(p) = p - 5.... | {
"pile_set_name": "DM Mathematics"
} |
8691 - 0.23691. Put 0.195, -5, -1, f in descending order.
0.195, f, -1, -5
Let i = -23.4 + 22. Let s = 0.4 + i. Let m = -231/4 + 57. Put s, m, -2 in descending order.
m, s, -2
Let s = -391/3 - -132. Sort 7, -2, 4, -5/2, s in descending order.
7, 4, s, -2, -5/2
Let o be (2*(4 + -3))/(1 - (-18)/(-12)). Sort 3, 66/23, 3/4... | {
"pile_set_name": "DM Mathematics"
} |
**(2/133) assuming r is positive.
r**(69957/17290)
Simplify (((g*(g*g/(g**(-2/5)/g))/g)/(g/g**(4/9))*(g**(-3/5)*g*g)/(g**(3/10)*g))**(-13))**(-5/2) assuming g is positive.
g**(3445/36)
Simplify ((z*z*z**(-3))/(z*z*z/z**(-1/8)))/(z**(-1/4))**(-5/2)*(z**(-2/3)*z)**(-2/97)*(z/z**2)/z*z**(1/3) assuming z is positive.
z**(-... | {
"pile_set_name": "DM Mathematics"
} |
. Solve -p = d - 2 for d.
-5
Let s = -332 - -334. Solve o - 3*o = s for o.
-1
Suppose -832 = 23*r - 87*r. Solve -5*y = -r*y - 40 for y.
-5
Suppose 3*u + 9 = 0, 2*u + 2 + 16 = 2*z. Suppose -z*s + 20 = 3*p - 2*s, 15 = -p + 3*s. Solve 3*t + p = -12 for t.
-4
Let x(j) be the third derivative of -j**4/24 - j**3 + 2*j**2. Le... | {
"pile_set_name": "DM Mathematics"
} |
What is y rounded to four decimal places?
-0.005
Let j = 15915 + -16084.51. What is j rounded to the nearest integer?
-170
Let n = 39439 + -39429.2655. Round n to zero dps.
10
Suppose -13*u - 27 = -16*u. Let p be ((-12)/u)/((-1)/(-234225)*-3). What is p rounded to the nearest 10000?
100000
Let n = 502 - 830. Let b = 3... | {
"pile_set_name": "DM Mathematics"
} |
for x.
1
Solve 4*c + 5*w = 10, 4*w = -148*c + 289*c - 139*c + 34 for c.
-5
Solve -a + 3 = -j, 3*a + 17 = -j + 30 for j.
1
Solve 63*a = 65*a + 2, -p = 4*a + 10 for p.
-6
Solve 0 = 5*c, 49*w = 53*w - c + 5 + 3 for w.
-2
Solve 4*w + 1130 - 1142 = 0, -7*y = -3*w + 2 for y.
1
Solve d - 1925*t + 1927*t - 9 = 0, 2*t = 2*d - 6... | {
"pile_set_name": "DM Mathematics"
} |
*4 - 2/11*w + 0 - 6/11*w**d + 6/11*w**2.
2*w*(w - 1)**3/11
Let g(j) be the second derivative of -1/3*j**4 - 8/3*j**3 + 0*j**2 + 0 + 17*j. Factor g(q).
-4*q*(q + 4)
Let z(d) be the first derivative of -d**3/12 - d**2/4 + 506. Determine t, given that z(t) = 0.
-2, 0
Factor -22/3*x - 2*x**4 - 92/9*x**2 - 2 - 2/9*x**5 - 20... | {
"pile_set_name": "DM Mathematics"
} |
5) to base 9
-3725280
What is -1c274 (base 14) in base 4?
-101202132
-287683 (base 10) to base 9
-477557
Convert -1012230313 (base 4) to base 11.
-188635
1031114545 (base 6) to base 8
51672141
What is -447867 (base 9) in base 11?
-1735a6
Convert -644030 (base 9) to base 13.
-105717
Convert 1074131 (base 12) to base 3.
... | {
"pile_set_name": "DM Mathematics"
} |
+ 1940. What are the prime factors of o?
2, 5
Let j = 4632 - -51456. What are the prime factors of j?
2, 3, 19, 41
Suppose 5*b + 160 = -3*s, -3*b + 98 = -2*s - 2*b. Let z = 172 - s. What are the prime factors of z?
2, 3, 37
Let j be (-37020)/(-15)*(-2)/(-8). Suppose 0 = 3*n - j + 173. List the prime factors of n.
2, 37... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 2. Give p(1).
-10
Let w(r) = 2*r**2 - 30*r - 14. Calculate w(15).
-14
Let f(y) = y + 16. Calculate f(0).
16
Let y(k) = 35*k**2 - k. Determine y(-1).
36
Let w(f) = 3*f + 33. Calculate w(8).
57
Let k(c) = -5*c - 48. What is k(-12)?
12
Let i(l) = 6*l + 2. Calculate i(-4).
-22
Let o(z) = 138*z - 556. Calculate o(4).
... | {
"pile_set_name": "DM Mathematics"
} |
4. What is the remainder when g(3) is divided by (-2)/(-3) - m/(-84)?
10
Suppose 8*l - 6784 - 11411 = 581. What is the remainder when l is divided by 27?
25
Suppose 16 = -6*p + 160. Suppose 2*g + p = 6*g. What is the remainder when 8 is divided by ((-3)/g)/(1*(-2)/20)?
3
Suppose -10650 = -3*r + 14*r - 34333. What is th... | {
"pile_set_name": "DM Mathematics"
} |
2.
-76 + 49*sqrt(2)
Simplify ((sqrt(432) + sqrt(432) + -5*sqrt(432) + sqrt(432) - sqrt(432))/sqrt(12))/(-4*sqrt(972)).
sqrt(3)/12
Simplify (2 + sqrt(8) - (sqrt(128)*-1)**2) + (((-1*sqrt(288) + sqrt(288) - sqrt(288))*-2 - sqrt(288))*-1)**2.
2*sqrt(2) + 162
Simplify ((-2*sqrt(300))**2 + (sqrt(21) - (sqrt(189) + sqrt(21))... | {
"pile_set_name": "DM Mathematics"
} |
s y(t(m))?
-15*m
Let k(f) = f. Let o be (2/(-6))/((-416)/138 - -3). Suppose -n + 3*w - 9 = -o, -5*w = 15. Let y(b) = b + b - n*b + b. Calculate y(k(j)).
-2*j
Let h(y) = 10807*y**2. Let l(a) = -118*a - 170*a - 120*a - 116*a + 522*a. Calculate h(l(v)).
43228*v**2
Let x(d) = 2*d**2. Let b(q) = -4096456*q - 8704. Let a(f) ... | {
"pile_set_name": "DM Mathematics"
} |
2)?
-3
Evaluate -6 - (-4 - 5 - -7).
-4
What is the value of -1 + -4 - (0 + -2)?
-3
What is the value of 1 + (6 - 3) - (4 - 1)?
1
What is the value of 1 + -4 + 7 + -3?
1
1 - 6 - (119 + -117)
-7
Calculate -7 - -8 - 10 - -4.
-5
Calculate -12 - ((-22 - -3) + 0).
7
Evaluate -2 + -3 + 2 + 5 - 6.
-4
What is (-1 - (5 + -4)) + ... | {
"pile_set_name": "DM Mathematics"
} |
t(8) + -4*(-4*sqrt(2))**2.
-128 + 3*sqrt(2)
Simplify (sqrt(19) - (sqrt(475) - (sqrt(475) + 0)))**2*-4.
-76
Simplify (sqrt(36)/sqrt(128))/sqrt(9).
sqrt(2)/8
Simplify sqrt(12)/(sqrt(20)/sqrt(45) - sqrt(4)).
-3*sqrt(3)/2
Simplify (-2*sqrt(18)/sqrt(3))/(sqrt(32) + sqrt(128) - sqrt(32)).
-sqrt(3)/4
Simplify (4 + (sqrt(32) -... | {
"pile_set_name": "DM Mathematics"
} |
- 4*p. Give i(-1).
4
Let c(l) = -97*l - 861. Let a be c(-9). Let u(k) = -k**3 + 13*k**2 - 11*k + 4. Calculate u(a).
16
Let a(u) = 7312*u - u**2 + 7314*u - 14618*u + 3. Let v be (3/2)/(1/4). Calculate a(v).
15
Suppose 2*j - 8 = 3*j. Let t(l) = 16*l + 3*l - 16*l + 0*l + 5 + 3. Determine t(j).
-16
Let y(z) = z**3 + 14*z*... | {
"pile_set_name": "DM Mathematics"
} |
culate j.
5, 196
Find f such that 1702*f**2 + 13612*f - 32 = 0.
-8, 2/851
Factor 5*i**4 + 16300*i**3 + 13268190*i**2 - 26585300*i + 13300805.
5*(i - 1)**2*(i + 1631)**2
Find y, given that 2*y**4 - 4*y**3 - 8*y**2 + 4*y + 6 = 0.
-1, 1, 3
Factor -2*t**3/9 + 10*t**2/9 + 56*t/9 - 64/9.
-2*(t - 8)*(t - 1)*(t + 4)/9
Factor -... | {
"pile_set_name": "DM Mathematics"
} |
353*b + 2)/5
Factor 5*o**3 + 1915*o**2 - 295120*o + 9744540.
5*(o - 62)**2*(o + 507)
Factor -5*r**3 + 80*r**2 + 17945*r - 18020.
-5*(r - 68)*(r - 1)*(r + 53)
Find v, given that v**4 + 295*v**3 + 18216*v**2 = 0.
-207, -88, 0
Determine p, given that 8*p**5/11 + 2*p**4 - 202*p**3/11 + 252*p**2/11 = 0.
-7, 0, 2, 9/4
Suppos... | {
"pile_set_name": "DM Mathematics"
} |
g order.
r, -1, i
Suppose 19 + 5 = 3*h. Suppose -3*i + h*i + 4*k = -20, -k = i + 4. Put 2, i, -1 in ascending order.
i, -1, 2
Let w be (-2 + -2)/(1 - 0). Let v = -41 - -48. Suppose -4*q + 18 = 2*a, -2*a + 2*q + v = 19. Sort w, 3, a in increasing order.
w, a, 3
Let d = 13.498 - 12.498. Let x be (-1)/(1/((-2)/14)). Put -... | {
"pile_set_name": "DM Mathematics"
} |
the fifth root of 3746244461 to the nearest integer?
82
What is the seventh root of 638069045 to the nearest integer?
18
What is 111022032 to the power of 1/6, to the nearest integer?
22
What is 102299393 to the power of 1/3, to the nearest integer?
468
What is the fourth root of 2546594759 to the nearest integer?
225
... | {
"pile_set_name": "DM Mathematics"
} |
(a) -1/7 (b) 2/7 (c) 2 (d) -5
d
What is the smallest value in 7/76, -1, 3?
-1
Which is the smallest value? (a) -0.6 (b) 1/4 (c) -1/4 (d) 1.2
a
What is the fourth biggest value in 3/7, 1, -1, 0.043?
-1
Which is the second smallest value? (a) -1/5 (b) -0.004 (c) 1/5 (d) 4
b
What is the second smallest value in... | {
"pile_set_name": "DM Mathematics"
} |
2*-6.
-8634 - 2496*sqrt(7)
Simplify (sqrt(51) + sqrt(2499)*2 + (-1*1*sqrt(51) - sqrt(51)) + sqrt(51))/(sqrt(27)/(-3*sqrt(81))).
-126*sqrt(17)
Simplify (5*(sqrt(96)/sqrt(4))/sqrt(4))/((sqrt(27) + sqrt(243) + sqrt(27))/sqrt(9) + (1*sqrt(3) - sqrt(3))*6).
sqrt(2)
Simplify ((sqrt(936) - (3*-1*sqrt(936) - sqrt(936))) + sqrt... | {
"pile_set_name": "DM Mathematics"
} |
l(p). What is i rounded to the nearest 100?
-100
Let h = 13768791 - 9729845. Let m(d) = -361053*d**2 - 1. Let y be m(-1). Let o = h - y. Round o to the nearest one million.
4000000
Let a be (-4)/(24/9)*-6. Let x be (-2)/(-3) - (-30)/a. Suppose -3*j - 2*g - 168808 + 873802 = 0, 0 = x*g + 12. Round j to the nearest ten ... | {
"pile_set_name": "DM Mathematics"
} |
b*v + 60 = 0 for v.
5
Let s be 18/((-216)/30)*-10. Solve s*l - 27 = 48 for l.
3
Let l be 2/(-21) + (2/(-3) - 14415/(-315)). Solve 34*b - 57 - l = 0 for b.
3
Let m(h) = h**3 - h**2 + 6*h - 17. Let x be m(5). Suppose 5*a + 43 = x. Suppose 8 = 2*n - 0*n. Solve 6 = n*z + a for z.
-2
Let c = 24 + -21. Let d(l) = l**3 - 19*... | {
"pile_set_name": "DM Mathematics"
} |
hird derivative of -z**6/120 + z**5/20 - z**4/12 + 2*z**2. Let q be m(2). Suppose 3*j + 2*j = 20. Solve q = v - 5, j*b - 3*b = 2*v - 7 for b.
3
Suppose 47*w = 48*w. Solve -5*f + d - 11 = -f, w = -5*f + d - 15 for f.
-4
Let j be -2*((-63)/(-6))/(-7). Solve 0 = -3*u + 3*r - 21 - 0, 4*r = j*u + 25 for u.
-3
Let n = -10 - ... | {
"pile_set_name": "DM Mathematics"
} |
e (2 - 0)*(-20)/8. Let z = 9 + l. Let s = 16465 + -16459. Solve -2*d - d = -z*a + 6, -a + 3*d = -s for a.
0
Suppose 0 = -v - 4*w + 22, -5*w = 1 - 26. Suppose 9*u = v*u + 56. Suppose u*i = -0 + 24. Solve -k - 5 = -j, k + i*j - 3 = 4 for k.
-2
Let w be (-7*(-48)/252)/((-3)/(-9)). Solve a + 2 + 4 = -2*i, -3*i + 2 = -w*a f... | {
"pile_set_name": "DM Mathematics"
} |
s(a). Factor t(x).
-x**2*(x - 1)**2/2
Let b(u) = u**2 - 9. Let v be b(4). Let a(r) be the second derivative of 1/27*r**3 + 0*r**2 + r + 1/27*r**4 + 0*r**5 - 2/135*r**6 - 1/189*r**v + 0. Factor a(p).
-2*p*(p - 1)*(p + 1)**3/9
Suppose v - 2*t = -1, -5*t - 10 = -5*v - 5. Factor 4 - 2*h - 4*h**v + 0*h - 8*h**3 + 2*h**3 - 1... | {
"pile_set_name": "DM Mathematics"
} |
What is (155/217)/((-14)/(-35)*35/(-42))?
-15/7
Evaluate 5 + -7 - 1590/6000*-8.
3/25
Calculate 5808/792*(-63)/(-33).
14
Calculate 13/((-8)/(-14) - 77/49).
-13
(1456/(-210))/13*9/(-84)
2/35
20/(-24) - (-3589)/3774
2/17
What is -15*(90/(-150))/(3/(-5))?
-15
Calculate -2 + (-6)/3 + (-11)/242*-96.
4/11
Evaluate ((-4)/5)/(... | {
"pile_set_name": "DM Mathematics"
} |
hich is the second biggest value? (a) 3 (b) -0.1 (c) 4 (d) 0.8
a
What is the second biggest value in 0.2, 9, -3/7, 0.4?
0.4
What is the biggest value in 11768, -3/7, 4?
11768
What is the fourth biggest value in 0.1, 3/5, -1/4, -4?
-4
Which is the third smallest value? (a) -4 (b) 5 (c) -26 (d) -1/7 (e) -3
e
Whi... | {
"pile_set_name": "DM Mathematics"
} |
) = -6*b**2 + 5*b - 2. Suppose -d - 5*v = 1, 5*d = 2*d + v + 13. Let s(x) = -5*x**2 + 4*x - 2. Calculate d*l(j) - 5*s(j).
j**2 + 2
Let k(w) = -w**2 + 3*w + 6. Let p(f) = f**2 - 4*f - 6. Let i(g) = 4*k(g) + 3*p(g). Let j(l) = l**2 - 5. Give -5*i(o) - 6*j(o).
-o**2
Let z(d) = -3*d**2 + 4*d + d - 4*d**2. Let u(w) be the f... | {
"pile_set_name": "DM Mathematics"
} |
mmon factor of 70 and 19362?
14
Calculate the greatest common factor of 1205075 and 19.
19
What is the greatest common factor of 17766 and 66458?
658
What is the highest common divisor of 222 and 27158?
74
What is the highest common divisor of 214 and 153438?
214
What is the highest common divisor of 307335 and 1533?
2... | {
"pile_set_name": "DM Mathematics"
} |
t is the second derivative of 60776*y**5 + 80489*y?
1215520*y**3
Find the third derivative of -101487*d**6 - 482*d**2 - 83 wrt d.
-12178440*d**3
What is the first derivative of -4*j**3*z + 67208*j**3 + 198582*z wrt j?
-12*j**2*z + 201624*j**2
What is the second derivative of -695364*k**3 - 1107326*k?
-4172184*k
What is... | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -2*f + f - v = -4*j, 0 = -j + 2*f + 1. Calculate the highest common divisor of j and 5.
5
Let b = 420 + -378. Calculate the highest common factor of 924 and b.
42
Suppose -f - 452 = -h, 0 = -0*h + 5*h - 3*f - 2258. What is the highest common divisor of h and 11?
11
Suppose 5*v + 4*r = 289 + 16, 115 = 2*v + 3*... | {
"pile_set_name": "DM Mathematics"
} |
= -z*u, -4*o + 8 = 4*u for u.
4
Suppose 0 = 7*b - 5*b + 2. Let w be (1 + 0/b)*3. Solve -2*g + w*c + 16 = c, 5*g + 4*c = 4 for g.
4
Let a = -84 - -87. Suppose -a*c - m - m = -6, -2*m - 18 = -3*c. Solve 5*j = -w + 8, 0 = 2*w - 6*w - c*j for w.
-2
Suppose 0 = -5*i + 5*f - 111 - 4, 2*f = 0. Let g = -8 - i. Suppose -5*x = ... | {
"pile_set_name": "DM Mathematics"
} |
2*c = -4*d - 8 for c.
0
Let m(t) = -t**2 - 10*t + 14. Let j be m(-11). Let i be 2 + -2 + (j - 0). Solve -2*k = 2*a + 6, -k = 4*a + 9 - i for k.
-2
Suppose -32 = -2*d - 0*b - 2*b, 3*b = 4*d - 29. Solve d = -4*i - 3*z - 0*z, 2*i - 17 = 3*z for i.
1
Let p(q) = q**2 - q - 2. Let k be p(2). Suppose -3*f + b = -17, -3*b = f... | {
"pile_set_name": "DM Mathematics"
} |
w(3). Solve f + j = 2 for f.
-5
Suppose -2*s + 14 - 6 = 0. Solve -s*x = 2 + 10 for x.
-3
Let n(r) = -r**3 + 2*r**2 + 3*r + 4. Let v be n(3). Suppose -2*c = -46 - 80. Suppose -d - d - v*h = -44, 4*d + 3*h = c. Solve -2*q - d = 2*q for q.
-3
Let r = -1 + 1. Suppose x = -r*x. Solve -2*l - 8 + 4 = x for l.
-2
Let h(a) = -a... | {
"pile_set_name": "DM Mathematics"
} |
?
0
Calculate the remainder when 1598 is divided by 6.
2
What is the remainder when 58 is divided by 28?
2
Calculate the remainder when 1802 is divided by 64.
10
Calculate the remainder when 295 is divided by 280.
15
Calculate the remainder when 88 is divided by 34.
20
What is the remainder when 35 is divided by 2?
1
W... | {
"pile_set_name": "DM Mathematics"
} |
of 0*f**3 + u + f + 0*f**2 - 1/12*f**4. Let z(c) = 3*c**2. Give w(z(q)).
-9*q**4
Let y(b) = 10214*b**2. Let a(t) = 3*t. What is y(a(c))?
91926*c**2
Let p(l) = -10*l - 2*l + 11*l. Let s(r) = -147 - r + 147. Calculate s(p(a)).
a
Let d(k) = 15*k - 3. Let p(t) be the first derivative of t**4/6 + 27*t - 1. Let y(x) be the ... | {
"pile_set_name": "DM Mathematics"
} |
) - m(q). What is the third derivative of r(k) wrt k?
-576*k + 6
Let l = -53 - -53. What is the second derivative of 0 + l + 7*o + 40*o**3 wrt o?
240*o
Let m(h) be the third derivative of 0 + 0*h**3 + 1/56*h**8 - 17/24*h**4 + 0*h**5 + 0*h**7 + 0*h + 0*h**6 - 18*h**2. What is the second derivative of m(b) wrt b?
120*b**... | {
"pile_set_name": "DM Mathematics"
} |
et d(x) = -x**2 - 15*x + 29. Determine d(-16).
13
Let u(s) = 4*s**2 - 37*s + 13. Calculate u(9).
4
Let p(o) = o**2 - 9*o + 35. What is p(7)?
21
Let h(f) = -2*f - 8. Calculate h(-6).
4
Let l(d) = -12*d - 8. What is l(-1)?
4
Let w(b) = -3*b**3 + 7*b**2 - 7*b + 8. Determine w(4).
-100
Let p(v) = -v**2 + 28*v - 202. Give p... | {
"pile_set_name": "DM Mathematics"
} |
)/7
Factor 2*n**2/13 + 964*n/13 + 16704/13.
2*(n + 18)*(n + 464)/13
Factor 3*w**2 + 69675*w + 487578.
3*(w + 7)*(w + 23218)
Find r such that 4*r**4/7 - 724*r**3 + 1722052*r**2/7 - 10349868*r - 10596600 = 0.
-1, 50, 609
Let 4*u**2 - 3152*u - 19056 = 0. Calculate u.
-6, 794
Determine m, given that 2*m**5/9 - 260*m**4/3 -... | {
"pile_set_name": "DM Mathematics"
} |
divided by x?
4
Suppose 4*z + 20 = 0, -t - 4*z - 81 = -2*z. Let m = t - -102. What is the remainder when m is divided by 17?
14
Suppose -q + 0 = -4. Calculate the remainder when 54 is divided by q.
2
Let s(j) = j**3 - 6*j**2 + 7*j - 5. Calculate the remainder when s(5) is divided by 3.
2
Let d(c) = -12*c + 2. What is t... | {
"pile_set_name": "DM Mathematics"
} |
f 7*n - 13 - d*n**2. Differentiate m(t) wrt t.
-9
Let a(y) = -48*y - 51. Let w(x) = -51 - 344*x + 247*x - 52. Let r(m) = -7*a(m) + 4*w(m). What is the first derivative of r(l) wrt l?
-52
Let p(s) be the second derivative of -7*s**3/2 - 27*s**2/2 - 134*s. Let m(w) = 9*w + 14. Let t(l) = -7*m(l) - 4*p(l). Differentiate t... | {
"pile_set_name": "DM Mathematics"
} |
+ -686/9. Which is the nearest to 0? (a) -3 (b) 2/11 (c) r
b
Suppose -4*m - 5*f + 6 = 0, m + 3 = 2*f - 2. Let o = -1.1 + 1.2. What is the closest to -0.1 in o, 5, m?
o
Let o = 0.071 + -2.071. Which is the closest to 0.2? (a) -16 (b) -3 (c) o (d) -0.6
d
Let r = 19/20 - -3/10. Let t be (0 + (-2)/(-4))*(3 - 3). Let... | {
"pile_set_name": "DM Mathematics"
} |
0 + 0.1. Let o = -417.61 + 415.61. Let g be 2/6 - (-10)/78. Which is the third smallest value? (a) o (b) u (c) g
c
Let l(v) be the third derivative of v**4/24 + 11*v**3/6 - 9*v**2. Let p be l(-15). Which is the biggest value? (a) 2/5 (b) 1 (c) p
b
Let x = 47.45 - 47. Let o = x + -2.45. What is the third smallest ... | {
"pile_set_name": "DM Mathematics"
} |
0.1.
-31228383.1
-5843317*0.06
-350599.02
Product of 1974898 and 0.44.
868955.12
Calculate 3051.4*323.
985602.2
Calculate 7833019*-75.
-587476425
Work out -0.0533 * 0.025704.
-0.0013700232
Calculate -88.96832*-2.
177.93664
Product of -11380.7 and 0.04.
-455.228
What is the product of 129 and 1243?
160347
Multiply 61.76... | {
"pile_set_name": "DM Mathematics"
} |
w)?
66
Find the common denominator of 11/778 and ((-4148)/(-366))/(8/(-6)).
778
Find the common denominator of -65/6 and 2/54*20/(-16).
108
Suppose -4*w - 2*f + 58 = 0, w + 0*w - f - 7 = 0. Suppose -6 = 4*y - 5*y + 2*o, -5*y + w = -o. Find the common denominator of -4 + 1/y*-91 and -9.
2
Let w be (8/(-14))/(42/(-735)).... | {
"pile_set_name": "DM Mathematics"
} |
f 13?
False
Does 13 divide 429?
True
Is 101 a factor of 707?
True
Does 20 divide 48280?
True
Is 76 a factor of 1471?
False
Is 3654 a multiple of 126?
True
Does 63 divide 378?
True
Does 6 divide 1074?
True
Is 27 a factor of 918?
True
Is 121 a factor of 15208?
False
Does 8 divide 41234?
False
Is 9 a factor of 312?
False
... | {
"pile_set_name": "DM Mathematics"
} |
0. What is y?
-1, 0, 1
Let o(n) be the third derivative of 1/30*n**5 + 0*n**3 - 1/12*n**4 + 0 + 0*n - 7*n**2. Solve o(c) = 0.
0, 1
Let t(m) = -m - 2. Let n be t(-4). Let z be 2 - (n/2 + -2). Factor -z*q**3 - 3*q**2 - 2*q - 4*q**2 + 3*q**2 + q**3.
-2*q*(q + 1)**2
What is t in -2/13*t**2 + 2/13 + 0*t = 0?
-1, 1
Let p(o) ... | {
"pile_set_name": "DM Mathematics"
} |
6 or 0?
-3/5246
Is -95 equal to -110?
False
Is -3/55 equal to -8/7?
False
Which is greater: -64 or -13?
-13
Is -5324 at most as big as -5324?
True
Is -17 less than or equal to -9?
True
Is -119 <= 0?
True
Is 115 equal to 113?
False
Are -1164 and -1166 non-equal?
True
Is -439 less than -438?
True
Is 509/3 less than or eq... | {
"pile_set_name": "DM Mathematics"
} |
(b) 80 (c) -1.6
a
Which is the closest to 0? (a) -14 (b) 1/4 (c) 0.3 (d) 1
b
Which is the nearest to 1/5? (a) 5 (b) -2/5 (c) -2/9
c
Which is the closest to 0.2? (a) -0.1 (b) 2 (c) 0 (d) -17/7
c
What is the nearest to 1 in -0.1, 0, 0.6?
0.6
What is the closest to -0.3 in -3, -0.3, -12?
-0.3
Which is the cl... | {
"pile_set_name": "DM Mathematics"
} |
) - 3*j(c).
-2*c - 4
Let a(b) = -663*b + 8. Let c(o) = -651*o + 6. What is 2*a(d) - 3*c(d)?
627*d - 2
Let p(d) = 5*d**2 + d - 10. Let j(x) = 28*x**2 + 6*x - 61. Calculate -6*j(v) + 34*p(v).
2*v**2 - 2*v + 26
Let o(q) = 5*q**2 - 30*q - 81. Let x(s) = -14*s**2 + 86*s + 244. What is -17*o(u) - 6*x(u)?
-u**2 - 6*u - 87
Sup... | {
"pile_set_name": "DM Mathematics"
} |
1). Let b(g) = 10*g + 17. What are the prime factors of b(i)?
167
Suppose 0 = p - l - 4, -4*p - 8 = -5*p + 5*l. Suppose -d + 16 = t, -p*t + 6*t - 76 = -5*d. What are the prime factors of (-72)/d*(-21)/6?
2, 3
Suppose 1635 = 8*h - 5*h. List the prime factors of h.
5, 109
Suppose 2*g - 3703 = -i + 998, -2*i = -10. What a... | {
"pile_set_name": "DM Mathematics"
} |
at is the highest common divisor of n and w?
24
Suppose 5*m = -0*o + 3*o + 321, -5*o = -15. Calculate the greatest common divisor of 11 and m.
11
Suppose -h = 5*z - 116, 5*z - 5*h - 15 - 95 = 0. Calculate the greatest common divisor of 207 and z.
23
Let t = -35 - -71. What is the greatest common divisor of 24 and t?
12... | {
"pile_set_name": "DM Mathematics"
} |
.4. Let k be (-2 - (1296/165)/(-4))*-5. Let x = 0.01 + 2.99. Which is the third smallest value? (a) s (b) k (c) x
c
Suppose 0 = -8*m + 9*m - 27. Let q be 134/72 - m/36. What is the second smallest value in -2, 0.5, q?
0.5
Let r = -1.11 + 73.11. Let s = -72.02 + r. What is the fourth smallest value in 0.1, 0.5, 3/5, ... | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of -b**5/30 + 5*b**4/3 - 2*b**3/3 - 2*b**2 - 14*b. What are the prime factors of a(12)?
2, 47
Suppose -10*z + 5 = -25. Suppose -z*g + 293 = o, 2*g + 287 - 857 = -2*o. List the prime factors of o.
281
Let o = 15139 - -8032. List the prime factors of o.
17, 29, 47
Let t(l) = -758*l + 232. Let w be t... | {
"pile_set_name": "DM Mathematics"
} |
: 5, e: 4, x: 10}. What is prob of picking 1 x and 1 e?
40/171
Four letters picked without replacement from {m: 3, c: 13}. Give prob of picking 1 c and 3 m.
1/140
Calculate prob of picking 2 o and 2 e when four letters picked without replacement from oeooooeoeeo.
21/55
Calculate prob of picking 3 u and 1 l when four le... | {
"pile_set_name": "DM Mathematics"
} |
et j(m) = 11*m - 67. Determine j(6).
-1
Let q(f) = -28*f + 2. What is q(-1)?
30
Let d(n) = -25*n + 128. Calculate d(6).
-22
Let q(w) = 3*w + 1. Give q(-3).
-8
Let c(i) = -55*i + 1. Calculate c(-1).
56
Let k(g) = g**3 - 4*g**2 - 9*g + 11. Give k(6).
29
Let u(p) = 23*p - 10. Determine u(0).
-10
Let x(w) = w + 1. Calculat... | {
"pile_set_name": "DM Mathematics"
} |
q.
-13
Solve -6937298*c = -6937294*c - 144 for c.
36
Solve 6580 = 335*h + 1720 - 4520 for h.
28
Solve 231*s + 28*s - 84*s - 5*s - 9350 = 0 for s.
55
Solve 35497*u = 35535*u + 190 for u.
-5
Solve 90762 = -4810*o + 268732 for o.
37
Solve -8773*h + 372474 = -17955 - 266795 - 158665 for h.
93
Solve 127*t + 262*t + 8709 + 6... | {
"pile_set_name": "DM Mathematics"
} |
60)/160 + (-2)/n. Let w be 2/(-42) - (-4)/(-14). What is the third smallest value in k, w, -1/2?
k
Let w be 32/(-176) - ((-684)/253 + 2). Which is the third biggest value? (a) -3 (b) w (c) 4
a
Let w = 18 + -28. Let c = w + 9. Let z = -3.03 - -0.03. What is the smallest value in -7/5, z, c?
z
Suppose b - 4*b + 6 = 0.... | {
"pile_set_name": "DM Mathematics"
} |
33074 and -9/2.
33074
Calculate the common denominator of -85/50412 and -83/58814.
352884
Find the common denominator of -103/912 and -31/84.
6384
What is the smallest common multiple of 781 and 3124?
3124
Find the common denominator of 27/6127 and 56/11.
6127
What is the lowest common multiple of 362896 and 80?
181448... | {
"pile_set_name": "DM Mathematics"
} |
the power of 1/3, to the nearest integer?
105
What is the cube root of 5109917 to the nearest integer?
172
What is 4629134 to the power of 1/10, to the nearest integer?
5
What is the square root of 10031661 to the nearest integer?
3167
What is 279580 to the power of 1/2, to the nearest integer?
529
What is the third ro... | {
"pile_set_name": "DM Mathematics"
} |
f k(b) wrt b?
20*b**3
Let i(b) be the first derivative of -b**6/60 - b**5/20 + b**2 + 1. Let v(d) be the second derivative of i(d). Find the third derivative of v(f) wrt f.
-12
What is the derivative of 8 + 5 - 50*u**4 + 57*u**4 wrt u?
28*u**3
Let p(x) = x**2 - x - 3. Let c be p(-3). Find the second derivative of -f**3... | {
"pile_set_name": "DM Mathematics"
} |
derivative of -12*m**5 - 3*m**j + 22*m**2 + 3*m**5 wrt m.
-720*m**2
Let m(a) be the third derivative of 0*a**4 + 23/30*a**5 - 22*a**2 + 0*a + 23/3*a**3 + 0. What is the first derivative of m(g) wrt g?
92*g
Let l(s) be the second derivative of -5*s**7/42 - 3*s**4 + s**3/6 - 75*s - 2. Find the third derivative of l(t) w... | {
"pile_set_name": "DM Mathematics"
} |
ect to n.
2
Suppose -3*o + 2*o = -2. What is the second derivative of -2*u**5 - 3*u - 3*u**5 - 11*u**o + 11*u**2 wrt u?
-100*u**3
Let i(b) be the first derivative of -2*b**6/3 - 3*b**4/4 - 2*b**3/3 - 6*b + 6. What is the third derivative of i(w) wrt w?
-240*w**2 - 18
Let o = 2 - 0. Suppose -6*k + o*k + 8 = 0. What is t... | {
"pile_set_name": "DM Mathematics"
} |
e -h + 18 = 14*b, -47*b + h - 18 = 8*b - 60*b for b.
0
Solve 4*t - 2*f - 7516 = -7358, -6*t - 3*f = -7*t + 217 for t.
4
Solve -5*f = -84*r + 81*r - 99, 8*f - 5*r = 158 for f.
21
Solve 0 = 3*k + 1066*d - 1059*d - 139, -2*k + 31 = 3*d - 25 for k.
-5
Solve -q - 5*r = 42, 38320*r - 38324*r = 4*q + 184 for q.
-47
Solve 3*i ... | {
"pile_set_name": "DM Mathematics"
} |
7*r
Collect the terms in -23326*s**3 + 11654*s**3 + 11682*s**3.
10*s**3
Collect the terms in j**2 - 7*j**2 + 2 + 4*j**2 + 1281*j.
-2*j**2 + 1281*j + 2
Collect the terms in 589*r**2 + 555*r**2 - 1 - 1124*r**2 - 4*r + 4*r.
20*r**2 - 1
Collect the terms in -23*t - 20*t + 14*t + 30*t.
t
Collect the terms in 240*r**2 - 57*r... | {
"pile_set_name": "DM Mathematics"
} |
*y**4/12 + 5*y**2 - 9. Let q(m) be the second derivative of k(m). Calculate q(11).
-45
Suppose -170 = -2*s - 6*v - 124, 4*s + 4*v - 20 = 0. Let h(j) = 2*j + 6 - 2 + 0. Give h(s).
-4
Let k(l) = l**3 + 8*l**2 - 8*l - 8. Let q be k(-7). Let r = q + -91. Let j(w) = -2*w + 4. Give j(r).
-8
Let w = -2958 - -2947. Let p(g) = ... | {
"pile_set_name": "DM Mathematics"
} |
17*u**6/6 + 3*u**2 + 7. What is the second derivative of t(j) wrt j?
-340*j**3
Suppose -o = -0*o + 5. Let d(a) = -15*a**3 + 12*a - 21. Let h(j) = 4*j**3 - 3*j + 5. Let t(u) = o*d(u) - 21*h(u). Find the second derivative of t(q) wrt q.
-54*q
Let m(i) be the first derivative of i**8/560 - i**5/120 - 4*i**3/3 - 3. Let s(a... | {
"pile_set_name": "DM Mathematics"
} |
288, -93 = -v + c*b. Is v composite?
True
Let o be 32/(-12)*9/(-6). Suppose 2*v + 5*b = 1336, -b = -v + o*b + 683. Is v a composite number?
False
Suppose 4*k = -f - 1, k + 4*f = -3*k - 16. Is (-1)/(((-3)/111)/k) a composite number?
False
Suppose -20*k = -7*k - 3211. Is k a composite number?
True
Let l(y) = -y**3 - 5*y*... | {
"pile_set_name": "DM Mathematics"
} |
ppose 9*c - 4*c + h = -56, 0 = 4*c + 4*h + 32. Let k be ((-3)/2)/(c/32). Let z(w) = 9*w - 3. What is k*z(d) - 7*y(d)?
d + 2
Let q(p) = -3*p**3 + 6*p**2 - 5*p + 4. Let d(b) = -2*b**3 + 5*b**2 - 4*b + 3. What is 4*d(o) - 3*q(o)?
o**3 + 2*o**2 - o
Let w(v) be the second derivative of -v**4/12 - v**3/6 + v. Let h(k) = 5*k ... | {
"pile_set_name": "DM Mathematics"
} |
rst derivative of -5637*n**2 + 8 + 34*n**3 + 5637*n**2 wrt n?
102*n**2
Suppose 7*z = z + 24. What is the second derivative of 4*w - 9*w + 2*w**z - 7*w**4 wrt w?
-60*w**2
Let z(c) be the third derivative of c**6/15 - 13*c**5/60 + 6*c**2. What is the third derivative of z(k) wrt k?
48
Suppose -5*l = -9*k + 4*k + 15, 0 = ... | {
"pile_set_name": "DM Mathematics"
} |
381
List the prime factors of 8540044.
2, 19, 37, 3037
What are the prime factors of 344407?
7, 49201
List the prime factors of 965406.
2, 3, 13, 12377
List the prime factors of 5258933.
17, 31, 587
List the prime factors of 113874.
2, 3, 18979
What are the prime factors of 689634?
2, 3, 11, 43
What are the prime facto... | {
"pile_set_name": "DM Mathematics"
} |
**2 + y - 1. Suppose w + 2*w = 2*k + 6, w - 4*k = 2. Let d be w - 12/12*(-1 - -1). Determine f(d).
-3
Let d(p) = -p**2 + 2*p. Let k be ((-27)/12)/(1/(-4)). Suppose 24 = k*h - 3. Determine d(h).
-3
Let t(d) be the third derivative of 3/8*d**4 - 14*d**2 + 0 + 1/3*d**3 + 0*d. Give t(-3).
-25
Let c(g) = -63*g - 14*g + 4*g*... | {
"pile_set_name": "DM Mathematics"
} |
am in milligrams?
75
How many years are there in 41.16175 decades?
411.6175
What is eleven halves of a hour in minutes?
330
How many micrograms are there in fourty-nine fifths of a milligram?
9800
How many meters are there in 3/25 of a kilometer?
120
Convert 625753.9 micrometers to kilometers.
0.0006257539
How many mil... | {
"pile_set_name": "DM Mathematics"
} |
lse
Is 99826 a multiple of 10?
False
Does 213 divide 286272?
True
Is 5127880 a multiple of 9?
False
Is 17132 a multiple of 4?
True
Is 271 a factor of 528241?
False
Is 192 a factor of 3960576?
True
Does 65 divide 106090?
False
Does 135 divide 6066111?
False
Is 87 a factor of 747383?
False
Does 1616 divide 8069992?
False... | {
"pile_set_name": "DM Mathematics"
} |
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