text stringlengths 270 8.19k | meta dict |
|---|---|
**4/12 + 1121*y**3/18 - 3481*y**2/18 - y + 17. Factor u(w).
(w - 1)*(w + 59)**2/9
Let c = -9709/9 + 1079. Solve -2/3*y - c*y**3 + 2/9 + 2/3*y**2 = 0 for y.
1
Let t(o) = -o**2 - 10. Let k be t(0). Let b be -2 + k/25*45/(-8). Let -1/4*j**2 + 1/4*j**3 + b*j**4 + 0 - 1/4*j = 0. Calculate j.
-1, 0, 1
Let q(j) be the second ... | {
"pile_set_name": "DM Mathematics"
} |
14*m**4
Expand (-1 - 9 + 2 + (5 - 3 - 4)*(1 + 2 - 4) - 3 + 2 + 3)*(-2*z**4 + z**3 + z**3 + z**4).
4*z**4 - 8*z**3
Expand (4 - 4 + b**3)*(-1 + 5 + 0) + (4 - 4 - 3)*(-2*b + 2*b**3 + 2*b).
-2*b**3
Expand (-4 + 1 - 1)*((5 - 2*k - 5)*(-3 + 3 - 2) - 5*k + 7*k + 2*k).
-32*k
Expand (-4 + 3 + 2)*(16 - 6 - 4*f - 9).
-4*f + 1
Exp... | {
"pile_set_name": "DM Mathematics"
} |
+ 5*b - 23 for j.
2
Solve 5*k - 2*m = m + 5, -2*k + 1 = -m for k.
-2
Solve -4*u + t = -3*u + 10, 2*t = 5*u + 35 for u.
-5
Solve -5*o - 35 = -4*c - 33, -o = -4*c + 10 for o.
2
Solve -16 = -4*k - 3*l + l, 0 = -k + 4*l - 5 for k.
3
Solve -4*c - 2*a - 13 = -c, 0 = 3*c - 3*a + 18 for c.
-5
Solve l - 1 = m - 3*m, -4*m = -2*l... | {
"pile_set_name": "DM Mathematics"
} |
h**3 + 5*h**3 - h**5 + (h**2 + 0*h**2 - 3*h**2)*(0*h**3 + h**3 - 2*h**3) - 1 + 1 + 2*h**5.
3*h**5 + 5*h**3
Expand (-5 + 0 + 6)*(-3*t + 4*t**2 + 3*t) + (-3 - 1 + 3)*(-t**2 - 1 + 1) + 1 + t**2 - 1 - 3 + 3 + 2*t**2 - 3*t**2 + t**2 + 0*t**2.
6*t**2
Expand (m - 2*m + 2*m)*(-8 - 3 + 2).
-9*m
Expand (0 - 2*a + 0)*(a**3 + a**3... | {
"pile_set_name": "DM Mathematics"
} |
18
Let y = -133 - -152. What is the remainder when 53 is divided by y?
15
Suppose c + 2*c + u - 236 = 0, -2*c = -3*u - 172. What is the remainder when c is divided by 14?
10
Let k = -361 - -741. Calculate the remainder when k is divided by 139.
102
Let s = -72 - -103. Suppose -9 + 10 = p. Let a = 9 - p. What is the rem... | {
"pile_set_name": "DM Mathematics"
} |
0 + 40 - 31*r)*(3*r + 4 + 1 - 5) to the form o*r + s*r**2 + v and give s.
-84
Rearrange 3 + 1272*l + 2767*l - 1484*l - 3 to d + w*l and give w.
2555
Rearrange -2*y**2 + 130*y**3 - y - 61*y**3 + 78*y**3 + 319*y**3 + 241*y**3 - 3 to s*y + z*y**3 + l*y**2 + n and give z.
707
Rearrange (6 + 9 + 3)*(-12 + 40 - 17)*(5*q**2 +... | {
"pile_set_name": "DM Mathematics"
} |
f 119710260?
True
Is 4253298 a multiple of 1666?
True
Is 22 a factor of 51217897?
False
Does 7910 divide 657020420?
True
Is 3454516098 a multiple of 127?
False
Is 46156377 a multiple of 1173?
True
Does 648 divide 73192248?
True
Does 81 divide 51722477?
False
Does 42 divide 394878415?
False
Does 8804 divide 1758580644?
... | {
"pile_set_name": "DM Mathematics"
} |
hich is the second smallest value? (a) 514 (b) 2/5 (c) -100.2 (d) -0.1
d
Which is the biggest value? (a) 0 (b) -527.9 (c) 15.06
c
What is the sixth smallest value in 0.021, 0.3, 4, -3/22, -2, 1/10?
4
Which is the biggest value? (a) -9.6388 (b) 0.24 (c) 4 (d) 0.1 (e) 0.5 (f) 0.3
c
What is the fourth biggest... | {
"pile_set_name": "DM Mathematics"
} |
7612, -11475, -15920, -20845, -26148?
-31727
What is the next term in 17083105, 34166208, 51249311, 68332414, 85415517?
102498620
What is next in 2233, 4466, 6667, 8836, 10973, 13078, 15151?
17192
What is next in -50236, -102545, -154854, -207163?
-259472
What is next in 1010399, 8083147, 27280587, 64665065, 126298927,... | {
"pile_set_name": "DM Mathematics"
} |
= 5 - 8.9. Let i = -4 - g. Sort i, -3, d in decreasing order.
d, i, -3
Let z(u) = 3*u + 15. Let j be z(-6). Let m be (-1)/(-3)*(12 - j). Sort 1, -1, m.
-1, 1, m
Suppose 0 = -5*f + 44 - 9. Suppose -13 - f = -4*y. Put y, 0, -4 in descending order.
y, 0, -4
Suppose -25 = -5*g, n = -4*n - g. Put n, -8, -2, 4 in decreasing... | {
"pile_set_name": "DM Mathematics"
} |
/(4/30). Solve 0 = 4*m - o*m - 2 for m.
-1
Let b(f) = 2*f + 6. Let w be b(0). Solve 4 = -2*x + w for x.
1
Let y be (-4 - 2)*8/(-12). Suppose -o = o - y. Suppose -3*h + 10 = 2*k, 4 = o*k + 4*h - 6. Solve -1 + k = -p for p.
-4
Let t = 45 - 37. Solve 0*b - 2*b = t for b.
-4
Let i = -1 + 3. Suppose -3*u - 9 = -0*u. Let h b... | {
"pile_set_name": "DM Mathematics"
} |
Convert -869 (base 11) to base 6.
-4455
2112022 (base 3) to base 12
1098
Convert -10131201 (base 4) to base 12.
-a6a9
401201 (base 5) to base 2
11000110000100
-122311 (base 4) to base 3
-2100121
Convert -1704 (base 14) to base 12.
-2474
What is -1138 (base 9) in base 11?
-6a9
507 (base 13) to base 8
1524
Convert -3470... | {
"pile_set_name": "DM Mathematics"
} |
l) = -l**3 - 21*l**2 + 16*l - 30. Let o be m(-22). Suppose 105*g - o*g = -4848000. What is g rounded to the nearest one hundred thousand?
-1600000
Let f = 14985.1 + -17635.14. Let h = f + 2648.97053. Let l = -1.07 - h. Round l to 4 dps.
-0.0005
Let n(h) = -1081*h**2 - 87*h + 68. Let f be n(-24). Round f to the nearest ... | {
"pile_set_name": "DM Mathematics"
} |
ue
Suppose 12 = 5*i + 2. Is (i + -1)/(-1)*-163 composite?
False
Let i be 4/(-6)*(-9)/(-6). Is -7 - -48 - (i + -1) a prime number?
True
Is ((-422)/3)/((-7)/21) composite?
True
Suppose 19*v = 20*v - 121. Is v composite?
True
Suppose 0 = -4*x - 5*c + 1616, c = 2 + 2. Suppose -f = 2*f - x. Is f a composite number?
True
Sup... | {
"pile_set_name": "DM Mathematics"
} |
0.19, -2/3?
-2/3
Which is the closest to 1/2? (a) 2/7 (b) 2 (c) -17
a
What is the closest to 0.2 in 3, 1.3, -1, -1/6, -4?
-1/6
What is the nearest to -1/8 in -0.1, -0.04, 74, -2?
-0.1
Which is the nearest to -0.4? (a) -2/9 (b) -2257 (c) -5/2 (d) -1 (e) 0.1
a
Which is the closest to 1/13? (a) -1/3 (b) 3 (c) ... | {
"pile_set_name": "DM Mathematics"
} |
(2/(-5))/((-4)/93).
20
Calculate the common denominator of 421022/93632 - (-225)/(-50) and -7/4864.
53504
Let a = 24714405/2238938 - -1/86113. Let p = a - 3163/273. Calculate the common denominator of -25/6 and p.
42
What is the common denominator of 127/880 and 648/648 - 394/400?
4400
What is the common denominator of... | {
"pile_set_name": "DM Mathematics"
} |
2/2*-5. Calculate the greatest common divisor of 54 and w.
27
Let f be ((-4)/10)/((9/10)/(-9)). Suppose -37 = -3*s + f*v, 43 = 3*s + 2*s - 2*v. What is the greatest common factor of 63 and s?
7
Let r = 252 + -83. What is the highest common divisor of 39 and r?
13
Let b be (-1 - -3)/(0 + 1). Suppose 2*f - 11 = -1. Let w... | {
"pile_set_name": "DM Mathematics"
} |
(b) -2/7 (c) -2 (d) 3/5
a
Which is the nearest to -0.1? (a) -0.1 (b) 2 (c) -34/13
a
What is the nearest to -2 in -1/4, 45, -5?
-1/4
What is the nearest to -0.29 in 1, -5, 4?
1
Which is the closest to -1/3? (a) 2/21 (b) 2/7 (c) 0.07
c
What is the closest to 0.1 in 2/9, 5/12, 2/11?
2/11
What is the nearest to 2/3... | {
"pile_set_name": "DM Mathematics"
} |
and 72.
36
Calculate the greatest common factor of 250992 and 4597992.
1512
What is the greatest common factor of 104656 and 9672?
248
What is the greatest common divisor of 8083150 and 6150?
2050
Calculate the highest common factor of 2375 and 541063.
19
Calculate the greatest common factor of 1948515 and 27.
3
What ... | {
"pile_set_name": "DM Mathematics"
} |
Factor u*f**2 + 0 - 2*f.
2*f*(f - 5)/5
Factor -t - 1/2*t**2 + 24.
-(t - 6)*(t + 8)/2
Suppose -77 = 4*n - 113, 2*b + 3*n = 31. Factor -9/5 - 1/5*x**3 - 7/5*x**b - 3*x.
-(x + 1)*(x + 3)**2/5
Let g(q) be the first derivative of q**3/3 + 5*q**2/2 - 36*q + 4671. Let g(i) = 0. Calculate i.
-9, 4
Solve 1/3*y**2 + 488*y + 0 =... | {
"pile_set_name": "DM Mathematics"
} |
Find the second derivative of j**2*k**2 - 27*j**2 - 1729*k**3 + 11*k wrt k.
2*j**2 - 10374*k
What is the first derivative of -28*d*g**2*q + 3*d*q + 2*d + 5*g*q wrt g?
-56*d*g*q + 5*q
What is the third derivative of 15*b**5*n**3 + 2*b**4*n**3 + 2*b**2 - 4*n**3 wrt b?
900*b**2*n**3 + 48*b*n**3
Find the third derivative o... | {
"pile_set_name": "DM Mathematics"
} |
4242987129?
-156334242987129.5
Put together -0.047193546072 and -12.
-12.047193546072
Calculate 2882.442 - 297432.
-294549.558
-5085 - 50059215836
-50059220921
Work out -13.5498492832 - 624.
-637.5498492832
-3450442516 - 359
-3450442875
Subtract 12 from -82821692.49.
-82821704.49
Sum -7.97223 and -33749.2.
-33757.17223... | {
"pile_set_name": "DM Mathematics"
} |
84, -276808, -492138?
-768974
What is the next term in -8024, -31842, -71540, -127118?
-198576
What is the next term in 67839271, 67839255, 67839249, 67839259, 67839291, 67839351, 67839445?
67839579
What is the next term in -256379932, -256379930, -256379928, -256379926, -256379924?
-256379922
What is the next term in ... | {
"pile_set_name": "DM Mathematics"
} |
Which is the smallest value? (a) 0.13 (b) 2/7 (c) w (d) -0.1
d
Let g be 1524/(-234) + 7 + (-2)/13. Which is the second smallest value? (a) -6 (b) g (c) -3
c
Let p = -2 - 3. Let v = 0.1 - -49.9. Let m = -49.93 + v. Which is the third biggest value? (a) m (b) -2 (c) p
c
Let n = -122/301 - 1/43. Let m = 29 + -5... | {
"pile_set_name": "DM Mathematics"
} |
+ i. Let z be a(s). Is -1 != z?
True
Suppose 0 = -13*z + 16*z - 48. Suppose -2941 - 1203 = -z*v. Which is bigger: v or 260?
260
Let u(v) = 517*v + 5 - 261*v - 258*v. Let b be u(1). Let t = -17.3 + 16. Which is smaller: t or b?
t
Let c(s) = 7*s**2 - 70*s - 30. Let b be c(13). Is 238 at least b?
False
Let i(r) = -2*r**2 ... | {
"pile_set_name": "DM Mathematics"
} |
between 4:54 AM and 4:36 PM?
702
How many minutes are there between 11:41 AM and 12:31 PM?
50
What is 524 minutes after 1:25 AM?
10:09 AM
What is 324 minutes after 8:59 PM?
2:23 AM
How many minutes are there between 3:39 AM and 11:22 AM?
463
What is 344 minutes after 10:55 AM?
4:39 PM
How many minutes are there between... | {
"pile_set_name": "DM Mathematics"
} |
6)/9?
False
Let w(p) = -9*p - 8. Let r = -17 - -23. Suppose 0 = -3*t + 4*t + r. Is 23 a factor of w(t)?
True
Let i(y) = -y**2 + 32*y - 112. Does 31 divide i(12)?
False
Let n(j) = -j**3 + 10*j**2 + 32*j - 8. Does 15 divide n(11)?
False
Suppose 15*k = 3617 + 10078. Is 23 a factor of k?
False
Suppose 5*b = 252 + 148. Does... | {
"pile_set_name": "DM Mathematics"
} |
-11*n(o) + 4*x(o). Determine q(19).
5
Let p(d) = d + 2. Let z(b) = -13*b**2 - 2*b - 6. Let l(k) = -37*k**2 - 5*k - 16. Let j(a) = 3*l(a) - 8*z(a). Let x be j(-1). Give p(x).
-6
Let x = 5250 - 5233. Let v(m) be the third derivative of 0*m + 0 + 0*m**3 + x*m**2 + 1/24*m**4. Give v(4).
4
Let y be (44/(-8))/(2/(-8)). Let ... | {
"pile_set_name": "DM Mathematics"
} |
t 0.3, -3, 2, -358/3 in increasing order.
-358/3, -3, 0.3, 2
Sort 0.2, 5/2, -1/63, -0.4.
-0.4, -1/63, 0.2, 5/2
Put 4/5, 1025, 1 in increasing order.
4/5, 1, 1025
Sort -3, 4, 7 in descending order.
7, 4, -3
Sort 3, 2, 6/13, 0.5 in ascending order.
6/13, 0.5, 2, 3
Sort -172, 4, 2.
-172, 2, 4
Sort -6, 2, 3 in descending o... | {
"pile_set_name": "DM Mathematics"
} |
-h*z + 12*z = 10. Solve 8 = 4*j - z*j for j.
4
Let m be (-266)/(-63) + 4/(-18). Suppose -10 = -m*j + 6. Suppose -d - 5*p - 16 = -2, -d = -2*p - 14. Solve -5*o + d = -j for o.
2
Let b = 89 + -22. Solve -b + 87 = -5*h for h.
-4
Let c = -34 - -35. Suppose 5*z + 2*f - 25 + 9 = 0, 5*z - 3*f = c. Solve 0 = -6*w + z*w for w.
... | {
"pile_set_name": "DM Mathematics"
} |
ms in 2070*t**3 - 3349*t**3 + 3076*t**3.
1797*t**3
Collect the terms in -25491 - 5182 - 2573 + v.
v - 33246
Collect the terms in 490 + 9*c**3 + 0*c**3 + 38*c**3 - 11*c**3.
36*c**3 + 490
Collect the terms in k - 7*k**2 + 2462 + 7*k**2 - 5*k**2 + 38371.
-5*k**2 + k + 40833
Collect the terms in 277 + 396*v**2 - 11*v + 144... | {
"pile_set_name": "DM Mathematics"
} |
64*v
Expand (-131*x**4 - 150*x**4 + 92*x**4)*(4*x - x - 4*x).
189*x**5
Expand (-2*p + 0 + 0 + (-5 + 0 + 0)*(-p - 4*p + 4*p) + 1 + 2*p - 1)*(0*p**3 - 2 + 0 + 2*p**3).
10*p**4 - 10*p
Expand (0 + 0 + m**2 + (-4*m**2 + m**2 + m**2)*(1 - 3 + 0) + 2*m**2 - 2*m**2 - 2*m**2)*(-m**3 + 4*m**3 + 0*m**3) + 66*m**5 - 8*m**5 + 17*m*... | {
"pile_set_name": "DM Mathematics"
} |
mmon multiple of h and 67?
268
Let q = -2 - -11. Suppose -2*r + 759 = 2571. What is the common denominator of -77/20 and 1/12*r/q?
180
Let a = -135/2 + 64. Calculate the common denominator of -21/10 and a.
10
Let j be (-1765)/45 + 4/18. Calculate the common denominator of 45/2 and j/((-2 + 0)*-1).
2
Let b(p) = -12*p**3... | {
"pile_set_name": "DM Mathematics"
} |
replacement from ccciqcqiqhciq. What is prob of sequence cqh?
5/429
Two letters picked without replacement from {h: 1, v: 2, y: 2}. What is prob of sequence vh?
1/10
Four letters picked without replacement from {a: 9, w: 6, d: 4}. Give prob of sequence awwd.
15/1292
What is prob of sequence vyv when three letters picke... | {
"pile_set_name": "DM Mathematics"
} |
s divided by 49.
28
What is the remainder when 16382 is divided by 264?
14
Calculate the remainder when 190487 is divided by 17316.
11
Calculate the remainder when 560008 is divided by 15.
13
What is the remainder when 47235 is divided by 598?
591
Calculate the remainder when 1514 is divided by 130.
84
Calculate the re... | {
"pile_set_name": "DM Mathematics"
} |
(53 - 10))?
18
Suppose -20 = 5*b - k, -12 = b + 5*k + 18. Calculate the remainder when ((-16)/b)/(4/190) is divided by (124/(-16))/(2/(-8)).
28
Let h(z) = -5*z + z**2 - 9 - 26*z + 30*z. Calculate the remainder when 48 is divided by h(6).
6
Suppose 3*n + n = 16. Suppose 0 = -u + 3*h + 6, -23 = -u + 5*h - 15. Suppose -3*... | {
"pile_set_name": "DM Mathematics"
} |
0*v - 1, -24 = -2*v + h*f. Let c be z(v). Solve 2*y - 5*n = -5, c*y - 4*n = -9 - 12 for y.
-5
Suppose 0 = 5*b - 2*b + 4*j - 49, -2*b - j + 31 = 0. Let i = b + -13. Suppose -12*x + 42 = i*x. Solve -c - 19 = -4*q, 2*q = -x*c - 2*c + 15 for q.
5
Let u be (-372)/(-21) + 7 + 4/14. Suppose -u*t = -15*t - 40. Solve -5*m - 10 ... | {
"pile_set_name": "DM Mathematics"
} |
(5) + 2)**2*-4.
-96 - 32*sqrt(5)
Simplify 0 + (sqrt(153) + 0)**2.
153
Simplify (5*-4*sqrt(252)*-1)**2.
100800
Simplify ((sqrt(35) + sqrt(35)*2)*6)/sqrt(5).
18*sqrt(7)
Simplify (-4*(sqrt(187) - sqrt(187)*-1))/sqrt(11).
-8*sqrt(17)
Simplify ((-1 + sqrt(3)*1 - (sqrt(432) - (2 + sqrt(432)) - sqrt(432)))*2)**2.
104*sqrt(3) ... | {
"pile_set_name": "DM Mathematics"
} |
+ 55 - 113.
18*b**3
Collect the terms in v**3 + 0*v**3 - 7*v**3 - 5*v**3.
-11*v**3
Collect the terms in 17*y**2 - 9*y**2 - 6*y**2 - 2 - 7*y**2.
-5*y**2 - 2
Collect the terms in -67916 + 67916 + d**2.
d**2
Collect the terms in 11*m**2 + 0*m**2 + 3*m**2 + 4*m**2.
18*m**2
Collect the terms in 2*r - 1 + 3 - 4.
2*r - 2
Col... | {
"pile_set_name": "DM Mathematics"
} |
common factor of 3858 and 36?
6
Calculate the greatest common factor of 8840 and 338572.
884
What is the highest common factor of 946 and 214269?
473
What is the greatest common factor of 3724 and 1764?
196
Calculate the greatest common divisor of 2557440 and 222.
222
What is the highest common factor of 11592 and 162... | {
"pile_set_name": "DM Mathematics"
} |
lculate l.
-4, 2/71, 1
Find w such that -2*w**4 + 20*w**3 + 454*w**2 - 2520*w - 31752 = 0.
-9, 14
Factor u**4/2 - 6*u**3.
u**3*(u - 12)/2
Determine s so that -2*s**2/15 - 4924*s/15 - 3030722/15 = 0.
-1231
Factor 3*x**5/4 + 186*x**4 + 43851*x**3/4 - 140601*x**2/2 + 143637*x - 96774.
3*(x - 2)**3*(x + 127)**2/4
Determine... | {
"pile_set_name": "DM Mathematics"
} |
assuming n is positive.
n**(-3/40)
Simplify f*f*f*f/f**(-11)*f*f**(3/10) assuming f is positive.
f**(163/10)
Simplify (b**(-6)/b)**11 assuming b is positive.
b**(-77)
Simplify (m**(3/8))**(5/2) assuming m is positive.
m**(15/16)
Simplify (z**12/z**(-3/7))**(8/9) assuming z is positive.
z**(232/21)
Simplify (f**(-5))**3... | {
"pile_set_name": "DM Mathematics"
} |
he remainder when 114 is divided by s/(-3) - 2/(-6).
22
Suppose 12*f = 8*f + 256. Suppose 0 = 15*l - 14*l - f. Let a(j) = j**3 + 9*j**2 - 13*j - 13. What is the remainder when l is divided by a(-10)?
13
Let p(x) = 15*x**3 - x**2 - x + 1. Let t = 161 - 161. Suppose 48*y - 53*y + 200 = t. What is the remainder when y is ... | {
"pile_set_name": "DM Mathematics"
} |
0.5824950025 to 5 decimal places.
0.5825
Round -0.178805499 to 3 dps.
-0.179
What is -202.61346 rounded to the nearest one hundred?
-200
What is -6.0103041 rounded to 0 decimal places?
-6
What is -16487642.138 rounded to the nearest 100000?
-16500000
What is 3216.63042 rounded to the nearest 1000?
3000
Round 0.0000485... | {
"pile_set_name": "DM Mathematics"
} |
t, 13, 0.5 in decreasing order.
13, 2, 0.5, t, -0.4
Let l = -34806 - -34811. Sort 3, -7, 68, l.
-7, 3, l, 68
Let x be -12*(-6 - 95/(-15)). Put 652, x, 0 in descending order.
652, 0, x
Let w be 1 + (-50)/6 + (-33)/(2673/(-189)). Put 0, w, 45 in ascending order.
w, 0, 45
Let n be (0 - -2)/(2/3). Suppose -n*z + 8 = 3*a +... | {
"pile_set_name": "DM Mathematics"
} |
maller than f?
True
Let b be (24/10)/((-6)/(-80)). Let x be 1/4 - (-8)/b. Which is smaller: -1 or x?
-1
Let h(x) = 3*x**3 - 10*x**2 + 2*x + 3. Let w be h(3). Do -1/27 and w have the same value?
False
Let g(r) = 3*r**2 + 2*r - 1. Let u be g(-2). Let s = u - 4. Suppose s*v = v - 12. Which is greater: -7 or v?
v
Let q(b) ... | {
"pile_set_name": "DM Mathematics"
} |
base 11.
a87368
What is 8065383 (base 9) in base 6?
232015333
Convert -43379 (base 10) to base 5.
-2342004
What is 100201011200 (base 3) in base 11?
12065a
-327477 (base 9) to base 12
-9535a
10010000110010111010001 (base 2) to base 9
8831401
Convert -10211122201 (base 3) to base 9.
-124581
Convert -2340323234 (base 5)... | {
"pile_set_name": "DM Mathematics"
} |
+ 902
What is the second derivative of 779329816*r**2 + 768994599*r wrt r?
1558659632
Differentiate 289636*l**2 - 23*l - 6325186 wrt l.
579272*l - 23
Find the second derivative of k**2*q*z + 70*k**2*r**2 - 10429*k**2*z**2 - 3*k*q*r**2*z + 2*k*q*r*z + k*q*z**2 + 12*k*r**2*z + 7*k + 37*q*r**2 + 5*q*z**2 wrt k.
2*q*z + 14... | {
"pile_set_name": "DM Mathematics"
} |
- 2338*c - 1 + 3 + 0 as o + m*c and give m.
-2338
Express 39*q - 38*q - 5*q**2 + 3 + 390*q**3 - 412*q**3 as j*q + a*q**2 + p + b*q**3 and give j.
1
Rearrange 3821*p + 10634*p + 12031*p to f*p + n and give f.
26486
Rearrange 526*d - 474*d - 590*d + (2 + 0 - 3)*(2*d + 2*d - 3*d) - 3*d + 6*d - 7*d to the form f*d + l and ... | {
"pile_set_name": "DM Mathematics"
} |
q + 6 = -2*y, -4*h = 5*y - 39. Suppose 4*i = -7*i + y. Solve -v = -2*n - 2*v - i, v = -5*n - 10 for n.
-3
Let s = 5 + -2. Suppose -s*w - 2 = -14. Solve 2*u - 5*n = -9*n - 14, w*u + 3 = -3*n for u.
3
Let z be (2048/(-10))/((-66)/330). Let q = -1019 + z. Solve -q*r = -3*y - 13, -32 = -5*y - r - 7 for y.
4
Let r be (-1 +... | {
"pile_set_name": "DM Mathematics"
} |
- 140*j**2 in the form b*j**4 + g*j + f + x*j**2 + n*j**3 and give g.
-1
Rearrange 0*m - 4*m + 7*m + 2 - 12 to the form r*m + j and give r.
3
Express (k + 68 - 68)*(2 - 1 - 3) + k + k - 4*k in the form d + m*k and give m.
-4
Rearrange 2552*y**2 + 223*y - 2552*y**2 + 3*y**3 to the form b*y**2 + k + u*y**3 + f*y and giv... | {
"pile_set_name": "DM Mathematics"
} |
111 - 2*f to q + h*f**2 + m*f + g*f**3 and give g.
-1
Express -2*t**4 + 6*t**2 - 8*t**2 + 2 + 0*t**3 + 7*t**3 in the form j*t**3 + k*t**2 + d + z*t**4 + r*t and give r.
0
Rearrange -5*p**3 - 6*p**3 + 4*p**3 + p**2 - 2*p**3 + 2 to n*p**3 + u + o*p + y*p**2 and give u.
2
Express (56*t - 6*t**3 - 8*t**3 + 11*t**3)*(2*t - ... | {
"pile_set_name": "DM Mathematics"
} |
to 2 dps.
-0.11
Let t = -382 + 3931. Let x = -2319 + t. What is x rounded to the nearest 100?
1200
Let p = 2375265.96299969 - 2375266. Let k = p - -0.037. What is k rounded to 7 dps?
-0.0000003
Let o = -230 + 231.11. Let f = -0.89 - -1.32. Let y = o - f. What is y rounded to 1 dp?
0.7
Let z(c) = 1630*c**2 - 29*c - 361... | {
"pile_set_name": "DM Mathematics"
} |
ative of -v**6/15 - v**2 - 8*v + 1. Let a(l) be the first derivative of j(l). Differentiate a(b) with respect to b.
-8*b**3
Let c(f) = -3*f**2 - 8*f + 5. Let o(a) = 4*a**2 + 8*a - 6. Let b(q) = -6*c(q) - 5*o(q). Find the second derivative of b(u) wrt u.
-4
Let j(n) be the first derivative of 14*n**5/5 + 14*n + 25. What... | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when o(-5) is divided by s?
13
Suppose 3*w - 3*q = 84, -2*q = -3*w - w + 102. Suppose 45*l - 990 = w*l. Calculate the remainder when 717 is divided by l.
42
Let x(p) = -p**2 - 6*p + 16. Let k be x(-8). Suppose k = 3*n - 0*n - 15, 24 = 2*f - 4*n. Calculate the remainder when 439 is divided by f.
21
Let... | {
"pile_set_name": "DM Mathematics"
} |
(y/6) is divided by n.
3
Let t = -4 + -4. Let v = 28 - 15. Calculate the remainder when v is divided by (t + 1)*(0 - 1).
6
Let x(t) = -5*t - 1. Let h be x(-1). Suppose -3*w - 3*m - 78 = 0, -2*w = -6*w + h*m - 120. What is the remainder when 0 - 1 - w/4 is divided by 4?
2
Suppose -25*r = -28*r + 54. Suppose 0 = -2*x - 1... | {
"pile_set_name": "DM Mathematics"
} |
hree letters picked without replacement from hhjfhhjjfjjfjjjj. What is prob of sequence hhf?
3/280
What is prob of sequence tzo when three letters picked without replacement from {o: 1, t: 8, z: 2, i: 4, l: 4}?
8/2907
Three letters picked without replacement from {k: 1, p: 2}. What is prob of sequence kpp?
1/3
What is ... | {
"pile_set_name": "DM Mathematics"
} |
m = -34 - -21. Let g = -8 - m. Solve 2*k - g*k + 12 = 0 for k.
4
Let p be 8/2 - -2 - 2. Suppose -4*a + 77 = -87. Suppose 14 = p*v + u - a, 5*u + 10 = -v. Solve 3*q + v = -0*q for q.
-5
Let i(s) = s**2 + 6*s + 5. Let l be i(-6). Suppose t - 11 = 3*g - 0*g, -g - l = -t. Solve t - 1 = n for n.
1
Suppose -3*d + c + 6 = -0... | {
"pile_set_name": "DM Mathematics"
} |
t m.
240*m**3 - 1224
What is the second derivative of 301*h*r**2 + 26*h*r + 3*h - 19*r**2 - 3*r - 6 wrt r?
602*h - 38
Find the second derivative of -14763*n**2 + 5347*n.
-29526
Find the second derivative of -4193*d**2*h*l**2 + 2*d*h*l**2 + 27*d*h*l + d*l**2 wrt d.
-8386*h*l**2
Find the first derivative of -3*r**4 - 261... | {
"pile_set_name": "DM Mathematics"
} |
greatest common factor of 1007 and g?
53
Let x(j) = 0*j**2 + 17*j**2 + 3*j - 6*j**3 + 8*j**3 + 11*j + 6. Let t be x(-8). Let n = t - -43. What is the highest common factor of n and 7?
1
Suppose -397 = -4*t + 3*h, 5*h - 9*h = 5*t - 535. Let s = t + 2. What is the greatest common divisor of 140 and s?
35
Let d(r) = -28*... | {
"pile_set_name": "DM Mathematics"
} |
Let u(a) = -a**2 - 4*a + 3. What is u(s)?
3
Let c(a) = a**3 + 6*a**2. Suppose 2*u = 5*b + 19, -5*b - 2*u = -b + 26. Calculate c(b).
25
Let j(d) be the second derivative of -d**4/6 - d**3/3 - d**2 + 4*d - 7. Give j(-1).
-2
Let q = -488 + 1073. Let f(l) = -q + 584 + 2*l - 3*l. What is f(4)?
-5
Let n(b) = b**2 - 2*b - 2. ... | {
"pile_set_name": "DM Mathematics"
} |
?
True
Is (-4)/(-8)*6 - -50 a composite number?
False
Let c = 188 - 109. Is c prime?
True
Suppose -2*f = -6*f. Suppose f = -z - 0*m - 5*m + 72, -4*z = 3*m - 271. Is z composite?
False
Let j(z) = 11*z - 2. Let p = -7 + 9. Let m be j(p). Is -3 + 2 - m*-1 prime?
True
Let t be 235 - ((2 - 2) + -3). Suppose -t = -4*o + 830.... | {
"pile_set_name": "DM Mathematics"
} |
hen 215 is divided by 48.
23
What is the remainder when 2540 is divided by 170?
160
What is the remainder when 322 is divided by 100?
22
What is the remainder when 150 is divided by 52?
46
What is the remainder when 346 is divided by 175?
171
Calculate the remainder when 717 is divided by 30.
27
Calculate the remainder... | {
"pile_set_name": "DM Mathematics"
} |
*i = -p - 3, 4*p - 3 = -i. Let m = 15 + -7. Let h = i + m. Solve 0 = -u + h*u + 2 for u.
-1
Suppose 18 = 4*d - 10*d. Let y be -4 - (d - 1) - (-3 - 20). Suppose -8*n + 1 = -y. Solve -n*f + 13 = 1 for f.
4
Let p be ((-12)/(-14))/(30/140). Suppose -a + 15 = p*s, -2*s = 4*a + 2*s - 24. Suppose 0 = w - 0*w + 2*t - 7, 3*t + ... | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of 3/8*y**d + 1/60*y**5 - 6*y**2 + 0 + y**3 + 0*y. Give l(-6).
-12
Let p(d) be the first derivative of -d**2/2 - d - 13. Determine p(-5).
4
Let h be ((-20)/25)/(4/30). Let x(u) = -8*u + 49 - 23 - 7*u**2 - u**3 - 28. Determine x(h).
10
Let n(k) = -2*k - 6. Let y = -77 - -43. Let o be 1/((-5)/y) - (-... | {
"pile_set_name": "DM Mathematics"
} |
t is 0.12 times 150.31?
18.0372
Product of -0.5 and -37796.
18898
What is the product of -0.02768 and 0.3?
-0.008304
Calculate 0.1115*0.02.
0.00223
-69*-18519
1277811
Work out 9 * 670.3.
6032.7
What is the product of -3 and -0.0649606?
0.1948818
Calculate 2.8*-66393.
-185900.4
What is the product of 13419 and -0.02?
-2... | {
"pile_set_name": "DM Mathematics"
} |
7, e: 4}?
28/55
What is prob of picking 4 z when four letters picked without replacement from zddzzzzzzdzzzzzzzz?
91/204
What is prob of picking 2 j when two letters picked without replacement from fjffrxfxxj?
1/45
Calculate prob of picking 1 m, 1 e, and 2 g when four letters picked without replacement from gggfggggmgg... | {
"pile_set_name": "DM Mathematics"
} |
48).
-13
Let j(g) = g**2 + 5*g - 28. Determine j(-7).
-14
Let f(v) = 2*v**2 - 15*v - 795. Determine f(24).
-3
Let k(o) = 32*o**2 + 825*o - 177. Give k(-26).
5
Let t(b) = -1249*b + 13. What is t(0)?
13
Let m(v) = -v**3 - 6*v**2 + 457*v + 4838. Give m(-15).
8
Let y(l) = 11*l**2 + 22*l - 358. Determine y(-7).
27
Let z(f) ... | {
"pile_set_name": "DM Mathematics"
} |
is positive.
k**(10473/280)
Simplify (p/(p*p/p**(3/32)*p))**(1/23)*(p**20)**11 assuming p is positive.
p**(161859/736)
Simplify (((l/(l/l**(-11))*l**9)**27)**32)**(-11/2) assuming l is positive.
l**9504
Simplify (t/t**(1/3)*t*((t**(-7)/t)/t)/t)/((t**1/t)/t)**(-3)*(t/t**(-2/3)*t)**35*(t/(t*t*t**5*t))/t**(-1/6) assuming ... | {
"pile_set_name": "DM Mathematics"
} |
rs of a hour?
285
What is 16253.028 nanoseconds in hours?
0.00000000451473
Convert 0.7024246 tonnes to kilograms.
702.4246
How many tonnes are there in 103078.4 grams?
0.1030784
How many months are there in thirteen quarters of a year?
39
What is seven eighths of a decade in months?
105
Convert 634.1249kg to grams.
634... | {
"pile_set_name": "DM Mathematics"
} |
f) + m(f). Calculate u(2).
5
Suppose k + p = 24, -k + 10 = 5*p - 22. Let n(r) = r**2 - 19*r - 72. Let j be n(k). Let t(b) = b + 5. Calculate t(j).
-1
Let b(a) = a**3 + 7*a**2 + 7*a + 4. Let j(z) = z**3 + 10*z**2 + 5. Let l be j(-10). Let t be (-429)/65 + (3 - 12/l). Give b(t).
-2
Suppose 4 = -4*s, 3*n = 2*s - 91 - 132.... | {
"pile_set_name": "DM Mathematics"
} |
1/10
What is prob of picking 2 z and 1 f when three letters picked without replacement from {f: 2, s: 4, z: 8}?
2/13
Two letters picked without replacement from {l: 5, s: 12, g: 2}. Give prob of picking 1 l and 1 s.
20/57
What is prob of picking 1 w and 1 q when two letters picked without replacement from bbwwwwuqbw?
1... | {
"pile_set_name": "DM Mathematics"
} |
42
Convert 202001300012 (base 4) to base 16.
881c06
What is -231303010 (base 4) in base 16?
-2dcc4
What is -1891d (base 16) in base 8?
-304435
Convert -6310020 (base 7) to base 14.
-15a710
What is -110b8 (base 14) in base 2?
-1010000101101010
-504521 (base 8) to base 16
-28951
What is 704723 (base 8) in base 15?
48a96
... | {
"pile_set_name": "DM Mathematics"
} |
ate prob of sequence qx when two letters picked without replacement from qxlxyyllxxyqlvylxyq.
5/114
Two letters picked without replacement from qvqkyk. Give prob of sequence qk.
2/15
Three letters picked without replacement from {l: 2, u: 3, o: 1, g: 4, b: 1, h: 1}. What is prob of sequence huo?
1/440
Two letters picke... | {
"pile_set_name": "DM Mathematics"
} |
-0.059
What is 0.61981474 rounded to 3 dps?
0.62
What is 0.1582949906 rounded to 3 decimal places?
0.158
Round -0.01483007412 to 6 decimal places.
-0.01483
Round -186.378057 to the nearest 10.
-190
Round -133.610017 to one decimal place.
-133.6
What is 0.3946200781 rounded to four dps?
0.3946
Round 8182.4267 to the nea... | {
"pile_set_name": "DM Mathematics"
} |
- 11. Let r(o) = o**2 + 21*o - 4. Let g(f) = -4*i(f) + 11*r(f). What is the second derivative of g(y) wrt y?
-10
What is the third derivative of 3*t**5 - 82*t**2 + 62*t**2 - 6*t**5 - 7*t**5 wrt t?
-600*t**2
Let g be 1/(-1) + 0 - -1. Suppose g - 4 = c, h + c - 2 = 0. What is the third derivative of 9*n**6 + n**2 + n**2... | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of 26*t*w**3*y - 47*t*w**2*y - 27*t*w**2 + 2*t*y + 49*w*y - 161*w wrt w?
156*t*w*y - 94*t*y - 54*t
What is the derivative of i**3*s + 728*i**3*v + 102*i**3 - 2*i*s + 50*i + 6*s*v + 3*s wrt v?
728*i**3 + 6*s
Find the third derivative of 15*g**4*o**2 + 3262*g**4 + 2*g**2*o**2 + 4*g**2*o + g**2 - 921... | {
"pile_set_name": "DM Mathematics"
} |
q**5 - 24*q**4 - 76*q**3 - 32*q**2 + 78*q + 56 = 0.
-7, -4, -1, 1
Factor -3*v**3/4 + 21*v**2 - 183*v + 504.
-3*(v - 14)*(v - 8)*(v - 6)/4
Factor 5*h**2/4 + 155*h + 4805.
5*(h + 62)**2/4
What is z in 2*z**3/9 - 26*z**2/9 + 8*z = 0?
0, 4, 9
Let -32*c**3/5 - 234*c**2/5 + 186*c/5 + 16 = 0. Calculate c.
-8, -5/16, 1
Factor ... | {
"pile_set_name": "DM Mathematics"
} |
ifififi. Give prob of sequence fif.
1/10
Calculate prob of sequence yo when two letters picked without replacement from yfwok.
1/20
Calculate prob of sequence zat when three letters picked without replacement from {z: 1, a: 1, t: 5, g: 6, r: 1}.
5/2184
What is prob of sequence pp when two letters picked without replace... | {
"pile_set_name": "DM Mathematics"
} |
, -22, -24?
-26
What is the next term in -950, -952, -954, -956, -958?
-960
What is the next term in 386, 769, 1152, 1535, 1918?
2301
What is next in -314, -626, -938, -1250, -1562, -1874?
-2186
What is the next term in -2, 14, 38, 70, 110, 158?
214
What is the next term in -14, -81, -184, -317, -474, -649?
-836
What c... | {
"pile_set_name": "DM Mathematics"
} |
s?
49.502985
How many millilitres are there in seven quarters of a litre?
1750
What is five eighths of a milligram in micrograms?
625
How many minutes are there in seventeen sixths of a week?
28560
How many days are there in 93343.617s?
1.0803659375
What is 3751.5s in minutes?
62.525
How many millilitres are there in s... | {
"pile_set_name": "DM Mathematics"
} |
- sqrt(40))).
sqrt(17)/3
Simplify sqrt(125) + 2*(sqrt(125) + -1 + sqrt(125) + sqrt(125))**2.
-55*sqrt(5) + 2252
Simplify (sqrt(352)*5)/(-4*sqrt(176)).
-5*sqrt(2)/4
Simplify (sqrt(190) - -4*sqrt(190)*2)/((sqrt(40)*1)/sqrt(4)).
9*sqrt(19)
Simplify (sqrt(85)/sqrt(5) + 2)*5*1.
10 + 5*sqrt(17)
Simplify (sqrt(36)/sqrt(2) + (... | {
"pile_set_name": "DM Mathematics"
} |
icked without replacement from kwkkjkkwkwkkwkkkwkkk. What is prob of picking 3 w?
1/114
Three letters picked without replacement from {i: 1, l: 2, y: 1}. Give prob of picking 1 y and 2 l.
1/4
Calculate prob of picking 2 k when two letters picked without replacement from wwkkzkkmmkkkk.
14/39
Calculate prob of picking 1 ... | {
"pile_set_name": "DM Mathematics"
} |
p(k) = -14*k**2. Calculate p(l(g)).
-14*g**2
Let z(f) = -7*f**2 + 3*f**2 + 3*f**2. Let l(h) = -2*h. Calculate z(l(q)).
-4*q**2
Let k(h) be the second derivative of h**4/12 - 36*h. Let a(r) = 10*r**2 + 4*r. Let u(l) = 19*l**2 + 7*l. Let t(s) = -7*a(s) + 4*u(s). What is t(k(j))?
6*j**4
Let l(v) = 3*v. Let z(s) = -5*s**2... | {
"pile_set_name": "DM Mathematics"
} |
qzqoqoo?
1/7
Two letters picked without replacement from immm. What is prob of sequence mi?
1/4
What is prob of sequence eb when two letters picked without replacement from beebeeb?
2/7
Four letters picked without replacement from sjmxmyujjsm. What is prob of sequence yjsm?
1/440
Two letters picked without replacement ... | {
"pile_set_name": "DM Mathematics"
} |
)/2 + -2. Suppose -15 = -5*u, h*n - 2*u - u - 15 = 0. Let p(r) = r**2 - 5*r + 3. Let l be p(5). Solve -l*f - 6 = n for f.
-4
Suppose -4*c + 11 + 9 = 0. Let p be 9/6 + 1/(-2). Solve -p + c = b for b.
4
Let j(m) = 7*m + 2. Let f(l) = 20*l + 7. Let s(r) = 6*f(r) - 17*j(r). Let g(q) = q**3 - 4*q**2 + 3*q - 6. Let z be g(3)... | {
"pile_set_name": "DM Mathematics"
} |
me factors of 970428413.
983, 987211
What are the prime factors of 948137472?
2, 3, 205759
What are the prime factors of 1334173455?
3, 5, 313, 94723
List the prime factors of 608420311.
23, 47, 562831
What are the prime factors of 83160724?
2, 31, 73, 9187
List the prime factors of 73314827.
3137, 23371
List the prime... | {
"pile_set_name": "DM Mathematics"
} |
o letters picked without replacement from sssmmssmmm?
5/9
What is prob of picking 1 k and 2 q when three letters picked without replacement from {q: 5, b: 2, k: 3}?
1/4
Three letters picked without replacement from {r: 3, l: 1}. Give prob of picking 3 r.
1/4
What is prob of picking 1 i and 1 x when two letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
. List the prime factors of o.
2, 3
Suppose -2 = -2*w + 4. Suppose 0 = -w*f - 5 + 14. List the prime factors of f.
3
Suppose -68 = -5*l + 62. List the prime factors of l.
2, 13
Let s(r) = -48*r - 4. Let z be (1/3)/(-1)*-9. Let w be s(z). List the prime factors of 4/(-18) - w/18.
2
Let a(s) = s**3 - s**2 + 36. What are ... | {
"pile_set_name": "DM Mathematics"
} |
What is the units digit of c?
2
Let p = 14 - 12. Suppose -p - 15 = -x. What is the tens digit of x?
1
Let k be (-4 + 4)*(-1)/(-2). Suppose 4*u - 2*u - 2 = k. What is the units digit of u?
1
Let h be 1 + (-1)/(-1)*12. Let c(q) = 7*q**2 - q**3 - h*q**2 - 1 + 3 - 6*q. What is the units digit of c(-5)?
7
Let d = 16 - -11.... | {
"pile_set_name": "DM Mathematics"
} |
)?
-13/6
(3/(-18)*-9)/((-546)/56)
-2/13
What is the value of 12*(14/35)/((-4)/10)?
-12
Calculate (-160)/(-540)*(4/(-2))/((-32)/(-4)).
-2/27
Evaluate (508/(-635))/((-8)/(-50)).
-5
Evaluate ((-108)/405)/((8/6)/((-50)/315)).
2/63
What is 80/24*(-60)/20?
-10
Calculate ((-2)/6)/(2472/172422*(-3)/4).
31
Calculate 2*(27/522)/... | {
"pile_set_name": "DM Mathematics"
} |
-u**2 + 0*u**2 - u**2)*(-3*u + 3*u + 2*u) - u**3 + 0*u + u - u**3.
12*u**3 + u
Expand (0 - 1 - 1)*(-136 + 83 + 964)*(l - 4 + 4).
-1822*l
Expand (-8*r + 5*r - 8*r)*(-196 - 3 - 9).
2288*r
Expand (-122 - 592 + 301)*(4 - 5 + 0*z + 3*z).
-1239*z + 413
Expand -80*s**4 + 59*s**4 - 36*s**4 - 3*s + (-3*s**3 - 3*s**3 + 4*s**3)*(... | {
"pile_set_name": "DM Mathematics"
} |
-3/41521688?
False
Which is greater: -463168 or -463188?
-463168
Is 968244710 > 968244708?
True
Is -1 > -166201671?
True
Which is bigger: 3/4095430 or -1?
3/4095430
Is -109150928 greater than -764056498/7?
True
Is 12487 at least as big as -0.0523?
True
Is -52/704611 at most -1?
False
Is 1577 bigger than 2433?
False
Is... | {
"pile_set_name": "DM Mathematics"
} |
+ k*n(f).
-f + 1
Let s(o) = 473646305*o**2 + 130581*o + 652905. Let u(c) = 14509*c**2 + 4*c + 20. Determine 4*s(a) - 130581*u(a).
-14509*a**2
Let l be 80/64 - (-14)/8. Let j(w) = 1. Suppose 18*v - 58 = 14. Let r(f) = -f - 1. What is l*j(u) + v*r(u)?
-4*u - 1
Let s(x) = -30*x**3 + 2*x**2 + 5*x + 7. Let b(d) = 151*d**3 ... | {
"pile_set_name": "DM Mathematics"
} |
+ p + 1. Let u(g) be the first derivative of g**4/4 + 7*g**3/3 + g**2 + 3. Let y(d) = -2*i(d) + 3*u(d). Give y(-4).
-2
Let u(g) = 3*g**2 + 2*g + 1. Let i be u(-2). Let b(a) = i + 7*a - 1 - 1 + a**2. Give b(-6).
1
Let p(r) = -r**3 + 7*r**2 - 7*r - 3. Let x(a) = a**2 + 4*a + 2. Let y be x(-2). Let h(u) = -2*u**3 - 4*u**2... | {
"pile_set_name": "DM Mathematics"
} |
9. Calculate the greatest common factor of 66 and d.
33
Let b = 37 + -37. Suppose b = -3*a + 6, a - 208 = -4*y + 946. Calculate the highest common factor of y and 18.
18
Let x = 74 - 18. Suppose -4*z = -2*l - 38, -x = -5*z - 3*l - 3. Let u be (6/z)/((-3)/(-30)). What is the highest common factor of 9 and u?
3
Let o = -... | {
"pile_set_name": "DM Mathematics"
} |
rom {h: 7, l: 3}. Give prob of picking 1 l and 1 h.
7/15
What is prob of picking 1 k, 1 p, and 1 r when three letters picked without replacement from {w: 1, f: 1, k: 4, p: 4, r: 9, i: 1}?
12/95
Calculate prob of picking 2 k, 1 q, and 1 a when four letters picked without replacement from kkakjaajmajqnk.
24/1001
Three le... | {
"pile_set_name": "DM Mathematics"
} |
1/4, j, l
Let v = -2 - -9. Let y(g) = -g**3 + 7*g**2 - g + 7. Let b be y(v). Suppose -2 - 8 = 2*x. Sort x, 5, b.
x, b, 5
Let z(r) = -r + 3. Let t be z(2). Suppose -8 = -3*i - i. Sort t, -3, i.
-3, t, i
Suppose -4*a - 6 = -0*a - 2*p, -2*p - 22 = 3*a. Let k be -3*1*5/(-105). Put a, -2, k in descending order.
k, -2, a
Let... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*w + 3 - 208. What is the remainder when f is divided by 20?
11
Let x(a) = a**3 - 5*a**2 - 8*a + 13. Let m be x(6). Let j be -7 - 5/10*(-6)/m. What is the remainder when 10 is divided by j/(4 - 8)*5?
0
Let f(z) = z**3 + 43*z**2 + 84*z + 312. Calculate the remainder when f(-40) is divided by 9.
6
Suppose -215204 = -6... | {
"pile_set_name": "DM Mathematics"
} |
63*i + 2*n + 58 for i.
8
Solve 4*r = 3*s - 18, -18 = 9*s - 5*r - 51 for s.
2
Solve 2*q = n + 10, 17*n = 7*n + 16*n + 24 for q.
3
Solve 34*k = 2*v + 112, -13*k + 4*v + 17 = -14*k for k.
3
Solve -59*w + 3*k - 9 = -62*w, w - 9 = 2*k for w.
5
Solve -y + 12 = 3*m, 854*y = 857*y + 5*m - 24 for y.
3
Solve -4*b = -2*g - 16, 4*... | {
"pile_set_name": "DM Mathematics"
} |
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