text stringlengths 270 8.19k | meta dict |
|---|---|
e units digit of l?
4
Let n be 2 - 0 - (-13 + 11). Suppose -w - 225 = -n*w. What is the units digit of w?
5
Let s = -1 - -4. Suppose -s*v + 19 = 5*u - 4*v, -5*v - 17 = u. What is the units digit of u/((-9)/(-102) + 0)?
4
Suppose 9*v - 11*v = -12. Let b(o) = v*o**2 + 6 - 10 + o**3 - 3. What is the tens digit of b(-3)?
2... | {
"pile_set_name": "DM Mathematics"
} |
5, 1
Factor 3*x**5/5 - 12*x**4/5 + 9*x**3/5.
3*x**3*(x - 3)*(x - 1)/5
Factor 5*o**3 + 35*o**2 + 50*o.
5*o*(o + 2)*(o + 5)
Factor -r**4 - 8*r**3 - 9*r**2 + 18*r.
-r*(r - 1)*(r + 3)*(r + 6)
Let u**3 + 20*u**2 - 121*u + 100 = 0. What is u?
-25, 1, 4
Find q, given that -2*q**3 + 22*q**2 + 536*q - 1144 = 0.
-13, 2, 22
Solve... | {
"pile_set_name": "DM Mathematics"
} |
8187 rounded to six dps?
-0.000082
What is -0.000059195 rounded to 6 dps?
-0.000059
Round 0.000000103 to seven dps.
0.0000001
Round -16960 to the nearest one thousand.
-17000
Round 66.778 to the nearest ten.
70
What is -9.945 rounded to the nearest integer?
-10
Round 14682600 to the nearest 1000000.
15000000
Round -0.0... | {
"pile_set_name": "DM Mathematics"
} |
89/68)
Simplify (i/(i*i**(-6)))/(i/(i**(2/23)*i)) assuming i is positive.
i**(140/23)
Simplify ((h/(h**(-2)*h*h))/(h**(-2/11)/h*h))/(h**2*h)**18 assuming h is positive.
h**(-581/11)
Simplify (m**15/((m*m*m*m**22*m)/m))**27 assuming m is positive.
m**(-270)
Simplify (m**(2/3)*m/(m/(m*(m/(m**(-10)/m))/m)))**(4/5) assumin... | {
"pile_set_name": "DM Mathematics"
} |
) to base 12
-3506
Convert 8e52 (base 16) to base 14.
d3c6
-2786 (base 9) to base 3
-2212220
-1362 (base 10) to base 16
-552
35177 (base 8) to base 10
14975
6118 (base 9) to base 7
16016
What is -1121 (base 3) in base 4?
-223
Convert -1164 (base 7) to base 4.
-12312
What is -222340 (base 5) in base 8?
-17245
What is 12... | {
"pile_set_name": "DM Mathematics"
} |
t g = 6.85 + s. Round g to two dps.
-0.15
Let s = 13016597 - 3066597. Round s to the nearest one million.
10000000
Let z be (-1)/(-2) + (-9)/18. Suppose z = -0*p - p + 82000. Suppose c + p = -c. Round c to the nearest ten thousand.
-40000
Let n be -1 - 2 - -20420006*(-5)/(-10). Round n to the nearest 1000000.
10000000
... | {
"pile_set_name": "DM Mathematics"
} |
-3 - (-237)/r composite?
False
Suppose 7*p + 279 - 216 = 0. Let n(q) = -42*q + 7 + 9 + 3. Is n(p) a prime number?
True
Let p(h) = 3*h**2 + 10*h + 9. Let y be (-21)/(-12) + -2 - 46/8. Is p(y) composite?
True
Suppose -6*v = -16*v + 6890. Is v composite?
True
Suppose -g = 4*t + 2*g - 168, 3*t + 5*g = 137. Let i = -3 - -27... | {
"pile_set_name": "DM Mathematics"
} |
-5
Let t = 23 + -22. Put t, -4, -2 in descending order.
t, -2, -4
Let r be 0 + (0 - (1 - 4)). Let a be -3 + (-100)/(-35) + (-81)/21. Put r, 5, a in decreasing order.
5, r, a
Let f(o) = -6*o + 134. Let r be f(21). Sort r, -3, -10 in descending order.
r, -3, -10
Let h(i) = -i - 7. Let n be h(-7). Put n, 3, 2 in increasin... | {
"pile_set_name": "DM Mathematics"
} |
j**3/3 - 2*j**2 - 4. Let h(a) be the third derivative of u(a). Solve h(z) = 0 for z.
2/5, 1
Suppose 5*k = -5*s + 75, 1 - 16 = -5*k. Suppose -5*h - 14 = 3*l, 6*l + s = 4*l - 4*h. Factor -95*x + 36*x**l - 49*x - 77 + 140 + 129 - 3*x**3.
-3*(x - 4)**3
Let l(o) = -o**4 - o**3 - 6*o. Let j(t) = -48*t**3 - 350*t**2 - 738*t. ... | {
"pile_set_name": "DM Mathematics"
} |
n = 1 - 2, -5*s - 2*n = -l for s.
1
Let t = 4479 + -4476. Solve 2*j - 2*q = j + 2, -t*q + 4 = 2*j for j.
2
Suppose -81*l - 52 + 401 = 25. Solve 4*k = -4*t + 13 - 9, -k - l*t = -7 for k.
-1
Suppose -2*u = -6*u + 16. Suppose -u = h - 9. Suppose -h*x + 9 = -11. Solve -x*v - 15 = -v, 5*i + v - 5 = 0 for i.
2
Let g(v) = 139... | {
"pile_set_name": "DM Mathematics"
} |
0.244, 86369?
-0.244
What is the second smallest value in -6.3, 4, 0, -771?
-6.3
Which is the third biggest value? (a) 4 (b) -2567 (c) -0.106
b
Which is the fourth biggest value? (a) 17 (b) -92 (c) 5 (d) -3498 (e) 3 (f) -1
f
What is the second smallest value in -3, -2, 24, 1, 9, 0.3, -0.2?
-2
What is the secon... | {
"pile_set_name": "DM Mathematics"
} |
e i(a). What is u rounded to the nearest ten thousand?
20000
Suppose 4*y - 7 - 1 = 0. Let g(i) = 924999*i**2 + 2*i. Let v be g(y). Round v to the nearest one million.
4000000
Let i = -18.076 + -96.129. Let w = 0.205 + i. Let r = 102.7 + w. What is r rounded to the nearest integer?
-11
Suppose 5*c = 2*p - 3644998, 3*p -... | {
"pile_set_name": "DM Mathematics"
} |
Let i(l) = l**3 + 6*l**2 + 5*l + 7. Let k be i(-5). Let u = k - -3. Calculate the remainder when 29 is divided by u.
9
Let z(i) = -i - 2. Calculate the remainder when z(-12) is divided by 7.
3
Let i be (-1)/(3/(-51*1)). Suppose -g - x + 53 = 0, -4*x = -g - i + 50. Suppose c + 5 = -5*m + 92, c = 3*m - g. Calculate the ... | {
"pile_set_name": "DM Mathematics"
} |
et s be h(7). Is s equal to i?
False
Let d be (-36)/60 + 1086/(-15). Which is greater: d or 2?
2
Let j(n) = n**3 + 3*n**2 - 4*n - 2. Let z be j(-4). Let k = 0.48 + -0.09. Let d = k - -0.21. Which is smaller: z or d?
z
Let v be (-4)/(0 + 2/(-4)). Suppose -v*s + 3*s = -20. Let q be s/2 + 1 + 1. Which is smaller: q or 7/2... | {
"pile_set_name": "DM Mathematics"
} |
What is the first derivative of 3*h**2*x - 5*h**2 + h*x**2 + 240*h - 7752*x**2 - 6 wrt x?
3*h**2 + 2*h*x - 15504*x
What is the second derivative of 229*p**2*q**2 - 13*p**2*q - 96*p*q**5 - 50*p*q - 5*q + 1 wrt q?
458*p**2 - 1920*p*q**3
What is the derivative of -3*p*q - 75575*p - 21987*q**2 wrt q?
-3*p - 43974*q
Find t... | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from {f: 4, k: 7}.
14/55
What is prob of sequence qyyu when four letters picked without replacement from {y: 7, u: 2, q: 4}?
14/715
Two letters picked without replacement from {o: 1, c: 1, j: 1, l: 1, x: 1}. What is prob of sequence lx?
1/20
Calculate prob of sequence nic when three letters ... | {
"pile_set_name": "DM Mathematics"
} |
. Is 149 + q/(35/(-25)) even?
True
Let f be (-8)/(-10)*(-855)/18. Let h be 0 - (-81 - 1*(-2 + -1)). Let n = f + h. Does 16 divide n?
False
Let o = -1873 + 1867. Let g be 8/(-28) - (-264)/(-7). Does 3 divide g/(-6) - (-2)/o - -3?
True
Suppose 19*y + 141571 = 23*y + 7*u, 2*y - u - 70763 = 0. Is 130 a factor of y?
False
S... | {
"pile_set_name": "DM Mathematics"
} |
50616
Find the second derivative of 1642701*h**5 + 4*h**3 + 23*h + 378484.
32854020*h**3 + 24*h
Find the third derivative of f**3*o*t + 12421*f**3*o + 857*f**3*t**3 - 2*f**2*o*t**2 + 3*f**2*o*t + 121817*f*o + 5*t**3 wrt f.
6*o*t + 74526*o + 5142*t**3
Find the first derivative of -28*m**4 + 5962*m**2 + 3*m + 24760087.
-... | {
"pile_set_name": "DM Mathematics"
} |
130*t - 95 = 125*t. Suppose 2*s - 3*o = t, -3*s - 3*o = o - 71. Solve 3*q = 3*d + 7*q + 23, -5*d - s = -4*q for d.
-5
Suppose -5*t + 0*t = 2*w + 39, -3*w + 45 = -4*t. Let h be 4/(15/t - -3). Suppose 29*u - 159 = -14. Solve 0*v = -u*v + h*p - 7, 5*p - 1 = 3*v for v.
-2
Let q = -4014 + 4017. Solve 9*c - 4*c = 4*o - 10, ... | {
"pile_set_name": "DM Mathematics"
} |
2 + 2)*(2*n - 3*n + 2 - 3) to u + i*n and give u.
-1
Express -6 - 2 - 3*c**2 - c**2 + 6*c**2 as v*c**2 + n*c + h and give h.
-8
Rearrange -7*z + 5*z - 6*z - 37*z to the form r*z + b and give r.
-45
Rearrange -15*u**3 - u**2 + 5*u**3 - 44*u**3 to w + l*u + b*u**3 + g*u**2 and give g.
-1
Rearrange -20*q + 20*q + 15*q**2... | {
"pile_set_name": "DM Mathematics"
} |
- 2*d + 139*d**2 - 232*d**2 - 3*d - 128 wrt d.
-694*d - 1
Let v(c) be the first derivative of 693*c**4/4 + 1231*c**3/3 + 1636. Find the third derivative of v(d) wrt d.
4158
Let o(y) be the first derivative of y**6/6 + 73*y**4/4 + y**3 - y**2/2 - 1666*y - 1365. What is the second derivative of o(d) wrt d?
20*d**3 + 438... | {
"pile_set_name": "DM Mathematics"
} |
lculate the remainder when 28858581 is divided by 244.
213
What is the remainder when 5175591 is divided by 92?
39
What is the remainder when 260869642 is divided by 7927?
7926
What is the remainder when 2198408 is divided by 263?
254
Calculate the remainder when 6197867 is divided by 370.
367
Calculate the remainder w... | {
"pile_set_name": "DM Mathematics"
} |
/4)))**24/(k*k**6)**(-21))**(15/8) assuming k is positive.
k**(2835/8)
Simplify ((v**(-1/2))**(3/7)/((v/(v/v**3))/v**(-6)))/(v/(v/(v*v**(-1/2)/v))*v/v**1*v/(v*(v/(((v**(-1)*v)/v)/v))/v*v)*v**(-1/4)) assuming v is positive.
v**(-153/28)
Simplify (t*(t/(t**(-11)*t))/t*t*t*t/t**5*t*t*t**(-16)*t*t*t**20)**40 assuming t is ... | {
"pile_set_name": "DM Mathematics"
} |
*v**3/3 + 2*v**2 + 8*v + 20. Factor d(i).
2*(i - 359)*(i + 1)
Let q = -13 - -48. Suppose -76 = -4*l - 4*h, -5*h - 33 = -0*l - 3*l. Factor -23 + q - l*y + 3*y**2 + 4*y.
3*(y - 2)**2
Let l(o) be the first derivative of o**5/40 + 5*o**4/32 - o**3/2 - 9*o**2/4 + 1918. Solve l(y) = 0 for y.
-6, -2, 0, 3
Let s(q) be the firs... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*i. Let v(r) = 13*r - 8. What is j*v(b) - 9*q(b)?
-b + 2
Let j(r) = -2*r**3 - 6*r**2 + 6*r - 1. Let y(f) = -f**2 + f. Let p(x) = -17*x + 84. Let h be p(5). Calculate h*j(q) + 6*y(q).
2*q**3 + 1
Let a(d) = -9*d - 18. Let o(i) = -4*i - 9. Give -3*a(q) + 7*o(q).
-q - 9
Let p(m) = 5*m**2 + 8*m - 7. Let n(b) = 6*b**2 + 7... | {
"pile_set_name": "DM Mathematics"
} |
the biggest value? (a) 0.4 (b) -0.2 (c) t
a
Let l = 328 + -328.524. Let f = 0.476 - l. Let r be 9/(-20)*(-5)/6. Which is the fourth smallest value? (a) r (b) 2 (c) f (d) 1/5
b
Let p be 6 + (14 - 3 - 536/32). Let w be 0/((-1 - -3) + 1). Which is the second biggest value? (a) p (b) w (c) 8
a
Let h = 1136 - 616.... | {
"pile_set_name": "DM Mathematics"
} |
rt(144) - sqrt(144)) + sqrt(144))/sqrt(12)) + 1.
-2 + 14*sqrt(3)
Simplify (4 + (sqrt(1100) + -1)*-6 + -1)**2 + ((sqrt(1100) - (sqrt(1100) + -2 + -5)) + 4)**2 + -5.
-1080*sqrt(11) + 39797
Simplify ((sqrt(8)*1)**2*2 + 2)*2 - (sqrt(200)*3*-6 + 5).
31 + 180*sqrt(2)
Simplify -2 + -5 + sqrt(304) + -3 + (sqrt(304)*3)**2 + sqr... | {
"pile_set_name": "DM Mathematics"
} |
acement from {e: 5, t: 4, d: 1}. Give prob of sequence deet.
1/63
Four letters picked without replacement from pjkwfwd. Give prob of sequence fkpw.
1/420
Two letters picked without replacement from {n: 2, f: 2, x: 4, a: 4}. What is prob of sequence nf?
1/33
Three letters picked without replacement from evtv. What is pr... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 2*a - 4*z = 7*a - 89, 5*a + 2*z - 87 = 0. Calculate the remainder when i is divided by a.
14
Let j = 16 + -3. Suppose -6*t = q - t + 10, -j = -2*q + t. What is the remainder when q is divided by 3?
2
What is the remainder when 69 is divided by 5/10*6 + 15?
15
Suppose 9*l = 4*l + 25. Suppose s + 20 - l = m, 4*s... | {
"pile_set_name": "DM Mathematics"
} |
3*v + 27*h**3*x - 9726281*h**3 + 718*h**2*v*x - 27*h**2*v - 25*h**2*x + h*v*x + h*x + v + 2*x wrt h.
-12*v + 162*x - 58357686
What is the second derivative of 7*b*v**2 + 2*b*v + 282739*v**2 + 1948742*v wrt v?
14*b + 565478
What is the third derivative of 533902775*b**3 + 670108886*b**2?
3203416650
Find the third deriva... | {
"pile_set_name": "DM Mathematics"
} |
e 16) to base 9.
-1465477
Convert -32235867 (base 9) to base 13.
-32b7809
Convert -155121 (base 10) to base 5.
-14430441
-11001101010110011111 (base 2) to base 9
-1521716
What is 27381a (base 14) in base 11?
845629
What is -10101111001010000011010 (base 2) in base 14?
-a95958
Convert -450948 (base 10) to base 5.
-10341... | {
"pile_set_name": "DM Mathematics"
} |
r x(k).
-2*(k - 5)**2*(k - 1)**3/13
Let y(j) be the first derivative of -j**8/420 + j**7/105 - j**6/90 + 2*j**3/3 + 11*j**2 - 48. Let r(p) be the third derivative of y(p). Solve r(q) = 0 for q.
0, 1
Suppose 0 - 21*u + 6*u**2 - 3/7*u**3 = 0. What is u?
0, 7
Let b(l) be the first derivative of l**4/34 + 26*l**3/17 - 40*l... | {
"pile_set_name": "DM Mathematics"
} |
culate 9 divided by 144.
1/16
What is -4608 divided by 6?
-768
Divide -304 by -1.
304
Calculate 1060 divided by -530.
-2
Divide 0 by -134.
0
Divide -39 by -105.
13/35
Divide -5146 by 83.
-62
What is -4 divided by -4153?
4/4153
70 divided by -33
-70/33
Calculate -6 divided by -131.
6/131
What is -7686 divided by -366?
2... | {
"pile_set_name": "DM Mathematics"
} |
f, 3*f + 5 - 3 = 2*l for l.
-2
Suppose h - 29 = -2*m, -m = -h - 4*m + 32. Suppose -l - 2*l + 30 = 0. Solve -2*g - l = -3*g + 4*i, -4*g - 5*i = h for g.
-2
Suppose -d - 5*k - 2 = 16, -5*k = -4*d + 28. Solve -d*p + 8 = 4*z, 2*z - z = -3*p - 8 for p.
-4
Suppose o = s + 2*o - 8, -3*o = -9. Suppose 0*b + 3*b = 5*j + 47, s*b... | {
"pile_set_name": "DM Mathematics"
} |
next in -212, -424, -648, -890, -1156, -1452, -1784, -2158?
-2580
What is the next term in -2385, -2385, -2387, -2391?
-2397
What is the next term in 24, 34, 44, 54, 64?
74
What comes next: -46, -103, -174, -259, -358?
-471
What is the next term in 141, 281, 407, 513, 593, 641, 651, 617?
533
What is next in -13, -34, ... | {
"pile_set_name": "DM Mathematics"
} |
8?
False
Is 522 a factor of 12869535?
False
Does 627 divide 978832?
False
Is 2731436 a multiple of 113?
True
Is 172 a factor of 202392?
False
Is 477126 a multiple of 6?
True
Is 3663914 a multiple of 6?
False
Is 578946 a multiple of 94?
True
Is 104 a factor of 2272088?
True
Is 63 a factor of 114345?
True
Is 339599 a mul... | {
"pile_set_name": "DM Mathematics"
} |
ate the greatest common divisor of 80 and 3760.
80
What is the greatest common divisor of 48 and 6216?
24
Calculate the highest common divisor of 152 and 1444.
76
What is the greatest common divisor of 8 and 188?
4
Calculate the greatest common divisor of 336 and 276.
12
What is the greatest common factor of 209 and 19... | {
"pile_set_name": "DM Mathematics"
} |
(-75)). Suppose -50 + a = 4*p. Determine f(p).
-5
Let q(y) = y**2 - 3*y - 9. Let t be q(5). Let g(p) = -5*p**2 + p - 11. Let m(l) = -l**2 - l - 1. Let z(b) = t*g(b) - 6*m(b). Calculate z(-6).
-11
Let k(x) = -x**3 + 8*x**2 + x - 4. Let j(p) be the second derivative of p**5/10 - 3*p**4/4 - p**3/3 + 2*p**2 + 6*p. Let u(d)... | {
"pile_set_name": "DM Mathematics"
} |
s in 9*a**3 - 122*a + 122*a.
9*a**3
Collect the terms in -3296*h**2 - 986*h**2 + 949*h**2.
-3333*h**2
Collect the terms in -332 + 332 - 8*u**2.
-8*u**2
Collect the terms in -1394*d**3 + 0 + 0 + 1309*d**3.
-85*d**3
Collect the terms in -5*o + 3*o - 2*o.
-4*o
Collect the terms in -26610274*z**2 + 26610274*z**2 - 3*z**3.
... | {
"pile_set_name": "DM Mathematics"
} |
ee letters picked without replacement from {q: 7, y: 6, m: 1, t: 3}.
7/1360
What is prob of sequence xc when two letters picked without replacement from {e: 10, c: 2, x: 3}?
1/35
Three letters picked without replacement from ywhhuujuujuju. What is prob of sequence huu?
5/143
Calculate prob of sequence bwgb when four le... | {
"pile_set_name": "DM Mathematics"
} |
mmon multiple of z and n.
24
Let d be (-1)/(-4) - 2425/4. Let o = -5465/9 - d. What is the common denominator of o and (-2)/7 + (-1298)/112?
72
Let g = 2870146079/37853700 - 5144/41325. Let c = -44064987/2290 - g. Let o = c + 19313. What is the common denominator of o and -101/12?
60
Let f(x) = -x**2 - 8*x - 5. Calcula... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(68)*-2) + sqrt(68))*6)/(sqrt(4) + (sqrt(32)*-2)/sqrt(8)).
24*sqrt(17)
Simplify (((1 + sqrt(1872)*-1 - (sqrt(1872)*1 + 5 + sqrt(1872)))*-4 + 5)*-2)**2*1*1.
24192*sqrt(13) + 1080036
Simplify (2*(-4*(sqrt(104) - ((sqrt(104) - sqrt(104)*1) + sqrt(104))) - -1*sqrt(104)*-6)/((3*sqrt(48)*1)/sqrt(6)))**2.
208
Simplify (2*... | {
"pile_set_name": "DM Mathematics"
} |
5
What is -41312565 - 1964019?
-43276584
What is 14 + -189.81940568?
-175.81940568
What is -370.565449136 take away -1.1?
-369.465449136
What is the distance between -2438897.9 and -7674?
2431223.9
Work out 5921791760 + -62791.
5921728969
Calculate -11198.83 - -34976525.
34965326.17
3266.8772+-3.83
3263.0472
Add togeth... | {
"pile_set_name": "DM Mathematics"
} |
4*a**2*v**2 - 8*a*v**3 - 10*a*v**2 - 301*a - 191*v**4 + 1 wrt v?
-6*a**2 - 48*a - 4584*v
What is the third derivative of 55*g**5 + 631*g**4 - 67*g**2 - 2*g - 309?
3300*g**2 + 15144*g
What is the third derivative of 4*w**5 - 133*w**4 - 5*w**3 - 12*w**2 - 4*w - 10?
240*w**2 - 3192*w - 30
What is the third derivative of -... | {
"pile_set_name": "DM Mathematics"
} |
d 1278?
6
What is the greatest common factor of 3666 and 2032186?
1222
Calculate the highest common divisor of 12 and 74252.
4
What is the highest common divisor of 573 and 516?
3
Calculate the highest common factor of 24576 and 3768.
24
What is the highest common divisor of 8323 and 232183?
287
Calculate the highest c... | {
"pile_set_name": "DM Mathematics"
} |
factor of q and 144.
18
Suppose -4*i + 2 - 19 = -5*k, -4*k + 26 = 3*i. Suppose i*g - 1 = 3. Let a = -1043 - -1044. Calculate the greatest common divisor of g and a.
1
Let m(y) = 1 - 5 + 4 + 3*y**2 - 1 - 2*y. Let s be m(-1). What is the highest common factor of s and 12?
4
Let r(t) = t**3 + 6*t**2 - t + 1. Let o be r(-... | {
"pile_set_name": "DM Mathematics"
} |
+ c).
2*c**4 - c**3 + 6*c**2
Expand (2 - 2 + 1)*(2*p + 9 - 9)*(p + 6*p**4 - 3*p**4 - 2*p).
6*p**5 - 2*p**2
Expand (45 - 25 - 22 + 13*n)*(-n**3 + n**2 - n**2).
-13*n**4 + 2*n**3
Expand (0 + 0 + n)*(23 - 13 + 3)*(7 - 3 - 3)*(-2*n + 0*n + 3*n).
13*n**2
Expand (2*u + 0*u - 3*u)*(-1 + 4 + 3) - 2 - u + 2.
-7*u
Expand (3*m +... | {
"pile_set_name": "DM Mathematics"
} |
.31, -3?
-2
What is the fourth biggest value in 4.767, -0.5, 0.4, -1?
-1
Which is the fourth biggest value? (a) -0.02 (b) 2/13 (c) 1 (d) -7/33
d
Which is the fifth biggest value? (a) -1024 (b) -2/11 (c) -1 (d) 3/8 (e) 1/6 (f) 1
c
What is the third biggest value in 5, 1, -4, -729, -2/9?
-2/9
Which is the bigge... | {
"pile_set_name": "DM Mathematics"
} |
igit of a?
2
Suppose -5*b - 2*k + 13690 = 0, -4*b + 3637 + 7343 = -4*k. What is the tens digit of b?
4
Suppose -4*j + 4*c = -120, 0*j + j + 4*c = 50. Suppose -3*q - 5*h + 86 = 0, 3*q + 3*h = 2*q + j. Let s = 23 - q. What is the units digit of s?
1
Let d = 322 + 301. What is the tens digit of d?
2
What is the hundreds d... | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -a + 5*j + 10 = a, -2*j - 4 = 4*a. Sort a, k, -1 in increasing order.
k, -1, a
Suppose 6*r + 204 = -36. Let u be (-2)/(-9)*24/r. Put 1, u, -7/4 in increasing order.
-7/4, u, 1
Let l = 1068 - 1066.8. Sort l, -2/13, 6 in descending order.
6, l, -2/13
Suppose 2*c + 3 = -3. Let z(m) = m**3 - 6*m**2 - 20*m + 115. ... | {
"pile_set_name": "DM Mathematics"
} |
5692.
4
Calculate the greatest common factor of 234726 and 852.
426
What is the greatest common factor of 169 and 13?
13
Calculate the highest common factor of 29 and 293770.
29
What is the highest common factor of 21504 and 3612?
84
What is the greatest common divisor of 28728 and 1071?
63
Calculate the greatest comm... | {
"pile_set_name": "DM Mathematics"
} |
value? (a) -3/22 (b) 38 (c) -2/7 (d) 0.3
b
What is the fourth smallest value in 48, -7, 0.3, -0.2, 0.13?
0.3
Which is the smallest value? (a) -2/9 (b) -3/2 (c) 0 (d) 6/7 (e) -26 (f) 2
e
What is the third biggest value in 0, 0.07, 0.5, 157?
0.07
What is the second biggest value in 0, -4, 7.6, -3, -12?
0
What ... | {
"pile_set_name": "DM Mathematics"
} |
-1)/(-3)*(-96)/4*1.
-8
Calculate (15/(-45))/(1/3).
-1
What is ((-56)/(-7))/80*4?
2/5
What is (64/72)/(2/9)?
4
What is (6/22)/((-3)/2)?
-2/11
(1*3)/(166/166)
3
What is the value of 5/(-1)*(-1)/(-15)*-6?
2
9/(-3)*(-28)/21
4
What is -10*(-1)/12*(-12)/75?
-2/15
Calculate ((-1)/5*1)/((-63)/105).
1/3
What is the value of (-1... | {
"pile_set_name": "DM Mathematics"
} |
d, 3*b + 4*d = 2*b + 7 for b.
-1
Solve -3*f + 5*x = 20, 3*f + 5*x + 9 = -1 for f.
-5
Solve -22*q + 17*q = n - 20, -5*n = 25 for q.
5
Solve 0 = 5*z - 4*l - 2, 0 = -z + 23*l - 28*l + 12 for z.
2
Solve -3*h + 27 = -k - 2*k, 2*k + h = -3 for k.
-4
Solve -4*f = 3*k, -3*f + 2 = 3*k - 1 for k.
4
Solve 3 = -4*k - 1, -5*k - 41... | {
"pile_set_name": "DM Mathematics"
} |
/9, k, a?
2/9
Let w = -287 + 286.9787. Let i = w + -2.9787. Which is the nearest to -0.15? (a) -2 (b) -1 (c) 0.2 (d) i
c
Let l = -32068/3 - -10689. What is the nearest to l in 4/7, -1, 3, -2/7?
-2/7
Let b be (8/3)/((-56)/(-84)). Let h be (-1)/(b*2/(-24)). Let m = 0.06 + 0.24. What is the nearest to 3 in 1, m, h?
h
... | {
"pile_set_name": "DM Mathematics"
} |
u + 3 + 4 = 0, -f = u + i for f.
-4
Let p(k) = k + 3. Let n be p(0). Suppose -2*s - z - 1 = 0, -5*s = n*z - 8*z - 35. Solve -2*x = 4*v + s, 3*v + 20 - 1 = -5*x for x.
-5
Suppose 3*n = 5*o - 2, 2*o + 6 = 3*n - 4. Solve 2*z - t - 4*t + n = 0, -2*t + 12 = 4*z for z.
2
Suppose -3*n + 5*n = 4. Let i = 4 + -3. Let r(a) = 2*a... | {
"pile_set_name": "DM Mathematics"
} |
pose 19*f + 72831 = -5*b + 15*f, 2*f + 8 = 0. Round b to the nearest one thousand.
-15000
Let a(r) = -4509*r + 2 - 3087*r + 1760*r - 3. Let l be a(-3). Let m = -3393 - l. What is m rounded to the nearest 1000?
-21000
Let c = -3256944015 + 3256943942.999999575. Let y = c - -72. Round y to 7 decimal places.
-0.0000004
Su... | {
"pile_set_name": "DM Mathematics"
} |
- i - 564534 + 564525.
-5*i**2 - 8*i - 9
Collect the terms in -46*r**3 + 106*r**3 - 307 - 17*r**3 - 44*r**3 - 6*r**2.
-r**3 - 6*r**2 - 307
Collect the terms in 0*g + 18217*g**2 + 0*g - 15362*g**2.
2855*g**2
Collect the terms in 24697 + 19*r**2 + 24495 - 49192.
19*r**2
Collect the terms in -4*m + 601788 + 2*m + 7*m - 7... | {
"pile_set_name": "DM Mathematics"
} |
uppose 7*l = 2*l - 4*g + 130, 3*l + 3*g = 81. What is the remainder when t is divided by l?
21
Let j be -1 + 1 - (1 - 4). Let w(y) = 4*y**2 - 2*y + 3. Calculate the remainder when w(j) is divided by 17*1 + (-1 - -1).
16
Let b(m) = -5*m - 2*m**2 - 3*m**2 + 6*m**2 - 8. What is the remainder when b(10) is divided by 15?
1... | {
"pile_set_name": "DM Mathematics"
} |
1752
Multiply 0.1 and 4305.0808.
430.50808
Work out 16177 * -206.
-3332462
Product of -0.072 and -10991.
791.352
-60335 times -8
482680
Product of -240.57853 and 34.
-8179.67002
-5.4 * 41570
-224478
Work out -71677 * -31.4.
2250657.8
What is -3817.219 times 5?
-19086.095
What is the product of -0.4 and 60097529?
-24039... | {
"pile_set_name": "DM Mathematics"
} |
or of 357 and 42?
21
Calculate the greatest common divisor of 21 and 3318.
21
Calculate the highest common factor of 32 and 56.
8
What is the greatest common factor of 38 and 2774?
38
Calculate the highest common divisor of 59 and 54221.
59
What is the highest common divisor of 7476 and 14?
14
Calculate the greatest co... | {
"pile_set_name": "DM Mathematics"
} |
entimeters are there in 3/10 of a meter?
30
How many micrometers are there in seventy-seven halves of a millimeter?
38500
What is one sixth of a decade in months?
20
What is 249093.8 kilograms in nanograms?
249093800000000000
How many tonnes are there in 782.6212kg?
0.7826212
How many months are there in 2.607913 years... | {
"pile_set_name": "DM Mathematics"
} |
*p - 18 - 2 = 0. Let v(j) = -1. Let n(c) be the third derivative of 0*c - 1/12*c**4 + 0 + 43*c**2 - 1/2*c**3. Give q*v(z) + n(z).
-2*z + 1
Let h(l) = 3561*l**2 + 10*l - 16. Let c(x) = -14238*x**2 - 42*x + 67. What is 6*c(u) + 25*h(u)?
3597*u**2 - 2*u + 2
Let z(v) = 4*v**3 + 3*v**2 + 6*v + 1. Let r(b) = -5*b**3 - 4*b**2... | {
"pile_set_name": "DM Mathematics"
} |
1 + 3*-4*(4*(sqrt(320) + (sqrt(320)*-1 - sqrt(320))) + -2*sqrt(320) + 2))**2.
-26496*sqrt(5) + 1659408
Simplify ((3*sqrt(162)*1)/(-1*sqrt(225)))/(-6*((sqrt(48)/sqrt(2) - sqrt(24)) + sqrt(24))*5).
sqrt(3)/100
Simplify ((-3*sqrt(91)*-3)/(2*sqrt(700)) + 4*(sqrt(130) + (sqrt(130) - -6*sqrt(130))*1)/sqrt(10))*-1.
-649*sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
qrt(1088))*-6)*-4)**2.
1382400*sqrt(17) + 62798400
Simplify (0 + 0 + -2*((-3 + sqrt(272) - sqrt(272)) + 0 + 1) + 3)**2.
49
Simplify -4*(sqrt(14)/(-3*sqrt(2)) + 2*sqrt(7)*-1 - (sqrt(189)/sqrt(3) + -5 + 0)).
-20 + 64*sqrt(7)/3
Simplify (-1 + (1*sqrt(891))**2 + 3 - 5*((sqrt(891) + 2)**2 + 2)) + -5.
-3597 - 180*sqrt(11)
Si... | {
"pile_set_name": "DM Mathematics"
} |
t -0.4, g, -3 in descending order.
g, -0.4, -3
Let z(c) = -c**2 + 5*c + 171. Let l be z(16). Put 234, l, -1 in increasing order.
l, -1, 234
Let z = -901 - -4504/5. Sort z, -5, 1 in increasing order.
-5, z, 1
Let g(l) = l + 10. Let v be g(-9). Suppose 12*y = 4*y - 88. Let d be ((-2)/(-1))/((-2)/(-3)). Sort y, d, v.
y, v... | {
"pile_set_name": "DM Mathematics"
} |
he biggest value in d, j, -0.5?
j
Let q = -50 - -49.7. What is the smallest value in q, 3, -0.049?
q
Let z be 16/(-12)*1/6. Let t = -17/2 - -8. Which is the biggest value? (a) z (b) t (c) -11
a
Let d = 1.822 - 0.022. Let r = -3.2 - d. What is the biggest value in r, 0.03, 4, -3?
4
Let i be (1/3)/(146/365). What is t... | {
"pile_set_name": "DM Mathematics"
} |
1
Suppose -2*w = 29 + 3. Let f = -20 - w. Let z(o) = -9*o - 9. What is the units digit of z(f)?
7
Let s = 11 - 3. Let v(t) = -t**3 + 8*t**2 + 13*t - 15. What is the units digit of v(s)?
9
Let h = 1284 - 795. What is the tens digit of h?
8
Let y be -2 + 0 + (-1 - 0). Let t(f) = -f**3 - 3*f**2 - f + 2. Let n be t(y). Sup... | {
"pile_set_name": "DM Mathematics"
} |
5 - -103)
45
What is (0 + 4 - (1 + 43)) + -1428 + 1420?
-48
What is the value of 11 + -147 - (7 + -27) - (-4 + -12 - -1)?
-101
What is -2 + -2 - (633 + -606 + -4 + -1)?
-26
Calculate (23 - (0 - 2)) + -2 + -45 + (17 - -33).
28
Evaluate -11 - (-13 + (57 + -68 - (70 + -2))).
81
Calculate 69 + (-77 - -41) + -19 + -1.
13
Wh... | {
"pile_set_name": "DM Mathematics"
} |
g + 155179 - 77590. Let m(t) = -237*t - 6. Calculate m(s(v)).
-237*v - 6
Let i(n) = -17*n. Let q(x) be the second derivative of -1 + 11/3*x**3 + 2*x + 0*x**2. Determine i(q(y)).
-374*y
Let o(y) = -6*y**2 + 12*y**2 - 2*y**2 - 3*y**2. Let w = -11 - -19. Let m(q) = -w + 8 - 5*q + 3*q. What is m(o(i))?
-2*i**2
Let b(s) be... | {
"pile_set_name": "DM Mathematics"
} |
0.4. Let u = z + 0.5. Which is the closest to -1? (a) -4 (b) u (c) -0.5
c
Let r(j) = 2*j + 2. Let h be r(-4). Let p be (0 - 5/(-2))*-2. Let x = h - p. Which is the nearest to x? (a) -3/4 (b) 5 (c) 2/11
a
Let k be (-5)/2 + 60/(-24). Let v = 0.1 - 0.1. What is the closest to v in -0.1, k, 1/3?
-0.1
Let f = -0.3 - ... | {
"pile_set_name": "DM Mathematics"
} |
7 prime?
False
Is 2854165121 composite?
True
Is 2574531385 a prime number?
False
Is 2733024962 prime?
False
Is 8239207541 prime?
True
Is 3852913553 prime?
False
Is 60167027777 a prime number?
True
Is 13428602669 a prime number?
True
Is 2128812359 a prime number?
False
Is 6513316247 composite?
False
Is 158192527 composi... | {
"pile_set_name": "DM Mathematics"
} |
/u**(-2/7))))*u))/(u**(1/2)/(u*u**(2/19)*u))**13 assuming u is positive.
u**(14563/798)
Simplify (((((q**4/q)/q)/q**(2/3))/(q**0)**(2/13))**29)**(-17) assuming q is positive.
q**(-1972/3)
Simplify (((v/(v/(v*v**(-5)/v)))/v)/(v**(-1/3)*v))**(-4/9)/((v*v**(-1))**(26/3)*v**(-2)*v**(-2/5)/v) assuming v is positive.
v**(859... | {
"pile_set_name": "DM Mathematics"
} |
mallest value in -4, o, y?
o
Let x = -15163/15 + 1011. Which is the third smallest value? (a) -0.15 (b) 5 (c) x (d) 2
d
Let g be 1 + 3 - 32/(-150)*-21. Which is the second biggest value? (a) g (b) -5 (c) 0.2
a
Let k = -5.08 - -0.08. Let f = 4.6 - 3.6. Which is the second biggest value? (a) k (b) -3/8 (c) f
b
... | {
"pile_set_name": "DM Mathematics"
} |
= 5*z**3 + 2*z**2. Let m(j) = -11*j**3 - 5*j**2 + 1. Let h be (-4 + 55/20)*4. Give h*n(y) - 2*m(y).
-3*y**3 - 2
Let m = 67 - 64. Let b(p) = -15*p + 2. Let f(z) = -7*z + 1. Give m*b(u) - 7*f(u).
4*u - 1
Let q(v) = -121*v. Let c(f) = -24*f. Determine 11*c(t) - 2*q(t).
-22*t
Let z(g) = g**2 + g + 1. Let s(q) = 3*q**2 - 2*... | {
"pile_set_name": "DM Mathematics"
} |
7
What is (-35)/10 + 12/8?
-2
What is (30/(-56) - (-36)/126)*2?
-1/2
What is the value of -3 + 39/9 - 56/6?
-8
What is the value of 3/(-2)*11/(-33)?
1/2
What is the value of 4 - (-234)/91*(-5)/3?
-2/7
What is ((-36)/81)/((-4)/54)?
6
What is (15 - 429/30) + (-3)/5?
1/10
Calculate 16/3 + 1 - (-53 + 59).
1/3
What is (-5)/... | {
"pile_set_name": "DM Mathematics"
} |
00 = m + u*m. What is the least common multiple of -2*2/4*-4 and m?
20
Suppose 3*w - 4*k + 10 = 0, 3*w - 2*k = -6*k + 22. Suppose 2*d - 23 = p - 0*p, -w*d - 5*p - 7 = 0. Let n = 4 - 2. What is the least common multiple of d and n?
18
Let u(n) be the second derivative of -n**4/12 + 5*n**3/3 + 13*n**2 - 46*n. Suppose -3*... | {
"pile_set_name": "DM Mathematics"
} |
**3. Let o(u) = 5*u. Let c be o(-1). Give j(c).
-1
Let i = 569 - 569. Let n be 5/(-1)*(12 + i)/12. Let b(w) = -2*w - 2. Calculate b(n).
8
Suppose 4*n = k + 2*k - 5, -2*n - 10 = 0. Let y(s) = -6 - 685*s + 106*s + 583*s - s**3 - 4*s**2. What is y(k)?
-1
Let l(g) = 2*g**2 - 2*g + 1. Let i(p) = 8*p**2 - 21*p + 12. Let d(s)... | {
"pile_set_name": "DM Mathematics"
} |
?
4:05 PM
How many minutes are there between 5:38 PM and 3:37 AM?
599
How many minutes are there between 8:55 PM and 7:15 AM?
620
What is 387 minutes after 2:20 PM?
8:47 PM
How many minutes are there between 7:11 AM and 1:45 PM?
394
What is 624 minutes after 4:02 AM?
2:26 PM
How many minutes are there between 3:10 PM a... | {
"pile_set_name": "DM Mathematics"
} |
488 (base 10) to base 14
-70d036
Convert -2310002 (base 6) to base 15.
-24e28
Convert -213335301 (base 6) to base 14.
-711833
Convert 14d2e (base 16) to base 11.
590a0
What is 94b3b1 (base 13) in base 2?
1101010001110001111011
-25aa (base 11) to base 3
-11122110
Convert 3142043 (base 5) to base 9.
80346
What is -98839 ... | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of 260*u**5 + 34*u**2.
15600*u**2
What is the second derivative of 136*a**3 + 531*a wrt a?
816*a
What is the first derivative of -335*b**3*g - 506*b**3 + 2*b**2 wrt g?
-335*b**3
What is the second derivative of 2*v**3 + 38*v**2 - 581*v?
12*v + 76
What is the third derivative of 256*z**6 + 64*z**2 wrt z?
3... | {
"pile_set_name": "DM Mathematics"
} |
2*c + 6*c**3 - 2*c - 4*c**3. Calculate the remainder when 155 is divided by m(6).
11
Let l = 1086 + -1033. What is the remainder when 900 is divided by l?
52
Suppose -5183 + 821 = -2*w. What is the remainder when w is divided by 78?
75
Let y(u) = -u**3 + 8*u**2 + 7*u + 20. Let o(w) = w + 10. What is the remainder when... | {
"pile_set_name": "DM Mathematics"
} |
ctor of 11 and n.
11
Let o(j) = -3*j - 47. Let t be o(-22). What is the greatest common divisor of 171 and t?
19
Let d(y) = 2*y + 224. Let f be d(0). Calculate the highest common divisor of f and 28.
28
Suppose -2 = -2*s - 16. Let h = s - -33. Let f = -13 + h. What is the greatest common divisor of 65 and f?
13
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
0 - 2)*(0*b**3 + 3*b**3 - b**3) - 2*b**3 + b**3 + 4*b**2 - b**3 in the form j*b**3 + y*b + h + x*b**2 and give j.
4
Express (0*j - 3*j + 5*j)*(-5 + 3 - 5)*(-2 - 2 - 1) in the form z + t*j and give t.
70
Rearrange -5*s - 12*s - 2*s - 3 to the form a + y*s and give y.
-19
Express (-4*s**3 + s**3 + 5*s**3)*(-23*s + 22*s +... | {
"pile_set_name": "DM Mathematics"
} |
-4) - 2/8. What is m rounded to the nearest 1000000?
-9000000
Let h be 474273/6*(-1 + -3). Let y = h - -221182. Round y to the nearest ten thousand.
-100000
Let b = 1.6348 - 11.63588. Let l = b - -10. What is l rounded to four decimal places?
-0.0011
Let s = -104.0912114668 - -0.0912191668. Let b = 105 - 209. Let p = b... | {
"pile_set_name": "DM Mathematics"
} |
lacement from ooooooooooooooovooov. What is prob of picking 2 o?
153/190
Three letters picked without replacement from zhhl. Give prob of picking 1 l, 1 z, and 1 h.
1/2
Four letters picked without replacement from bccccmccbmcc. Give prob of picking 4 c.
14/99
Three letters picked without replacement from {g: 3, s: 4, p... | {
"pile_set_name": "DM Mathematics"
} |
1 g?
28/969
Calculate prob of picking 1 y, 2 a, and 1 z when four letters picked without replacement from gszsssggayas.
1/495
Two letters picked without replacement from gkgggkgggg. Give prob of picking 1 g and 1 k.
16/45
Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {u: 2, n: 2... | {
"pile_set_name": "DM Mathematics"
} |
alse
Let o(y) = -y**2 - 5*y + 3. Let k be o(-6). Let c be (2/(-8))/((-3)/(-6))*(-48 - -56). Which is bigger: c or k?
k
Suppose 0 = -4*a + a + 48. Let v be (2/(-4))/(-2*4/a). Is 3 less than or equal to v?
False
Let q = -43.07 + 43. Let m = 3 + -3.2. Is q less than m?
False
Let z be (-4 + (2 - 0))*14/(-4). Suppose 3*d = ... | {
"pile_set_name": "DM Mathematics"
} |
f)*(-2 + 7 - 3))*(-13 - 13 + 6).
-280*f
Expand (-1 + x**2 - 5 - 8*x**2)*(-2*x**2 + 2*x**2 - 3*x**2).
21*x**4 + 18*x**2
Expand (2*o**2 + 1 - 1)*(4*o**2 + o**2 - 4*o**2) - 3937193 - 238*o + 3937193 + 2*o**4.
4*o**4 - 238*o
Expand (-22*c + 113 - 113)*(1 + 15 + 2 + 0 + 5 - 4 + (2 - 2 + 1)*(-1 - 4 + 6) + 2 - 1 + 1 + 4 - 3 -... | {
"pile_set_name": "DM Mathematics"
} |
= -11449980. Round h to the nearest one hundred thousand.
2300000
Let x = 7.155 + -149.095. What is x rounded to the nearest ten?
-140
Suppose 0 = -3*w - 3*o + 12, 3 = 6*o - 3*o. Let y(d) = 42631*d**3 - 3*d**2 - 10*d + 20. Let p be y(w). Round p to the nearest one hundred thousand.
1200000
Let j = 5653.99999151 - 5654... | {
"pile_set_name": "DM Mathematics"
} |
50013?
-12454150021
In base 2, what is -101 + 1000000001010110111100110?
1000000001010110111100001
In base 3, what is -10222 + -10021122010?
-10021210002
In base 6, what is 130143531 - 4?
130143523
In base 4, what is 23111322122 + -2?
23111322120
In base 15, what is 47cc34b - 4?
47cc347
In base 2, what is 101 + -111001... | {
"pile_set_name": "DM Mathematics"
} |
.38
Round 0.00000012 to 7 decimal places.
0.0000001
What is -4.69 rounded to the nearest integer?
-5
What is -0.000011296 rounded to 6 decimal places?
-0.000011
What is 2100700 rounded to the nearest ten thousand?
2100000
What is 0.1451 rounded to one dp?
0.1
What is 0.32294 rounded to three decimal places?
0.323
Round... | {
"pile_set_name": "DM Mathematics"
} |
-3*b**3 - 6*b**2 + b + 44
What is the o'th term of -16052, -32116, -48194, -64292, -80416, -96572, -112766?
-o**3 - o**2 - 16054*o + 4
What is the r'th term of -441, -753, -1041, -1305, -1545?
12*r**2 - 348*r - 105
What is the y'th term of 19859, 79437, 178733, 317747, 496479, 714929?
19859*y**2 + y - 1
What is the y'... | {
"pile_set_name": "DM Mathematics"
} |
Which is greater: b or z?
z
Let a be 60*((-10)/(-5))/((-12)/3). Let x be (-29)/116 - (-3190)/(-104). Which is greater: x or a?
a
Let t = -10 + 5. Let k = 206 + -100. Let h = -106.3 + k. Which is smaller: t or h?
t
Let x = -194.408 - -186.63. Is x smaller than -1?
True
Let b = 218 - 202. Suppose -b*n - n = 102. Is -7 > ... | {
"pile_set_name": "DM Mathematics"
} |
-6, -2
Suppose -76*i + 50 = -29*i - 91. Suppose -8/3*w**i + 0 + 4/3*w**4 + 2/3*w**5 + 2*w - 4/3*w**2 = 0. Calculate w.
-3, -1, 0, 1
Let v be (50/20)/(26/8). Let y = 8291 + -8287. Factor -v*t**2 - 16/13 - y*t + 6/13*t**3.
2*(t - 4)*(t + 2)*(3*t + 1)/13
Let m(p) be the second derivative of 0 + 1/21*p**3 - 5/84*p**4 + 0*... | {
"pile_set_name": "DM Mathematics"
} |
2 - 3*w + 2. Let f be j(-3). Suppose 2*n - 120 = -f*n. Suppose -3*l + 12 = -n. Is l a multiple of 7?
True
Suppose 3*q + 362 - 5 = 3*g, -2*q + 470 = 4*g. Suppose -422 = -4*y - g. Does 13 divide y?
False
Suppose 2*n - 176 = 4*l, -7 = -2*n - l + 169. Is 11 a factor of n?
True
Let n(f) = -f**3 - 3*f**2 + 3*f + 3. Let m be ... | {
"pile_set_name": "DM Mathematics"
} |
ement from {y: 1, f: 3, k: 1, m: 2}?
1/70
What is prob of sequence ll when two letters picked without replacement from {l: 11, a: 1}?
5/6
Three letters picked without replacement from {n: 2, c: 2, i: 1}. What is prob of sequence cic?
1/30
Two letters picked without replacement from {r: 7, t: 1, m: 11}. What is prob of ... | {
"pile_set_name": "DM Mathematics"
} |
derivative of q(o). Find the first derivative of t(f) wrt f.
-3*f**2
Let q(z) be the second derivative of -12*z + 0*z**5 + 0 + 0*z**2 + 1/6*z**6 + 0*z**4 - 8/3*z**3. Find the second derivative of q(f) wrt f.
60*f**2
Let f be (-17)/(-2) + 4*60/(-48). Let j(t) be the first derivative of -4 - 9/4*t**4 + 0*t + 0*t**3 + f*t... | {
"pile_set_name": "DM Mathematics"
} |
2441 - -3981. Suppose 0 = 5*t + 5*m - u - 963, -2*t + 2954 = 5*m. Is t composite?
True
Let s = 51454 - 25833. Is s prime?
True
Let k be 3 + 0 + 2/1. Suppose -k*o = -5*v, o + 0*v + v = 0. Suppose 4*r - 5*y - 1363 = o, -r - 3*y = 4*r - 1750. Is r a prime number?
True
Suppose n - 6*n + 10 = 0. Suppose -m - 5 = 0, 5*m - 11... | {
"pile_set_name": "DM Mathematics"
} |
b(a) = -6 - 6*a**2 - 2 + a**3 + 4*a + 2*a**2 + 4. Let s be 3*1/1 + 1. Give s*n(o) + 21*b(o).
-3*o**3
Let n be -39*3/13*-1. Let v(u) = u**2 + 4*u - 4. Let x(g) = 2*g**2 + 9*g - 9. Calculate n*v(h) - 4*x(h).
h**2
Let l(y) = y - 3. Let g(r) = r + 2. Determine -2*g(a) + l(a).
-a - 7
Let l(k) = 118*k**2 + k + 2. Let v(i) = ... | {
"pile_set_name": "DM Mathematics"
} |
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