text stringlengths 270 8.19k | meta dict |
|---|---|
b) -0.2 (c) -3 (d) 1/17 (e) 2/3
d
What is the closest to 72/53 in -2/9, -3, 0.1, -4?
0.1
Which is the nearest to 109? (a) 3/16 (b) 0.6 (c) -663
b
Which is the closest to 0.2? (a) 4 (b) -1 (c) -0.05 (d) -12 (e) 0.14
e
Which is the closest to 69? (a) -3/592 (b) 8/5 (c) -1/5 (d) 0.3 (e) -1/4 (f) -3
b
Whic... | {
"pile_set_name": "DM Mathematics"
} |
or of 290 and 6235.
145
What is the highest common divisor of 1593 and 27?
27
What is the highest common divisor of 912 and 532?
76
What is the greatest common factor of 884 and 85?
17
What is the highest common factor of 17 and 5?
1
Calculate the highest common divisor of 18 and 438.
6
Calculate the greatest common di... | {
"pile_set_name": "DM Mathematics"
} |
- i = x. What is the remainder when u is divided by 27?
26
Suppose 0 = -554*o + 558*o - j - 5805, j = 2*o - 2905. What is the remainder when o is divided by 479?
13
Suppose g + 0*g = -5*z + 46, -z + 10 = g. Suppose -275 = -4*u + 5*p, 2*p - 4 - 6 = 0. Let k = u - 58. Calculate the remainder when k is divided by z.
8
Su... | {
"pile_set_name": "DM Mathematics"
} |
: 2, l: 2, r: 8}?
1/13
Four letters picked without replacement from {c: 4, f: 7}. Give prob of picking 1 f and 3 c.
14/165
Two letters picked without replacement from {s: 6, v: 1, w: 1, b: 8, n: 3}. Give prob of picking 2 s.
5/57
Two letters picked without replacement from {c: 1, p: 1, e: 2}. What is prob of picking 1 ... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*m**3 - 4*m**w wrt m?
60*m**2
Let h(m) = -22*m**3 + 23*m**2 + 4*m. Let p(a) = -89*a**3 + 92*a**2 + 18*a. Let f(y) = 18*h(y) - 4*p(y). What is the third derivative of f(i) wrt i?
-240
Suppose 4 = o, 2*o - 56 = -d - d. Let a be 2/(-4)*d/(-6). What is the first derivative of -a - 5*i + 3*i + 3*i wrt i?
1
Let l(g) = -33... | {
"pile_set_name": "DM Mathematics"
} |
4/15*h**2 + 14/5*h = 0.
-3, -1, 6
Let l(z) be the second derivative of -1/48*z**4 - 6*z + 1/3*z**3 + 0 + 0*z**2. Determine c, given that l(c) = 0.
0, 8
Suppose 0 = 4*w + 4*p - 6 + 2, -11 = -5*w - 2*p. Factor -11/9*b + 4/9*b**4 + 1/9*b**w - 4/3*b**2 - 2/9.
(b - 2)*(b + 1)**2*(4*b + 1)/9
Let p be (10/(-25))/(2/60). Let o... | {
"pile_set_name": "DM Mathematics"
} |
30*q**7 + a*q**3 + 0 - 2*q**2 + 0*q. Factor g(j).
-j*(j - 1)**3/3
Let v(h) be the second derivative of -h**7/1050 + h**6/200 - h**5/100 + h**4/120 + 3*h**2 - 3*h. Let p(m) be the first derivative of v(m). Factor p(a).
-a*(a - 1)**3/5
Solve -3/2*l**2 - 3/2*l + 3/2 + 3/2*l**3 = 0 for l.
-1, 1
Let z = 207 + -198. Let b(t)... | {
"pile_set_name": "DM Mathematics"
} |
decimal places?
1.086
Round 3168.002 to the nearest 100.
3200
Round -0.00001416761 to seven dps.
-0.0000142
Round -107070 to the nearest one hundred thousand.
-100000
Round -339.5359 to the nearest 10.
-340
What is 28849950 rounded to the nearest one hundred thousand?
28800000
Round -529.45 to the nearest integer.
-52... | {
"pile_set_name": "DM Mathematics"
} |
5*q(y) + 2*v(y). Differentiate s(m) with respect to m.
248*m
What is the second derivative of -408 + 110*g**5 + 7*g + 202 + 208 wrt g?
2200*g**3
Find the second derivative of -2*h + 68 + 9*h - 202 + 67 + 59 + 594*h**4 wrt h.
7128*h**2
Let w(y) be the second derivative of 2/3*y**4 - 2/15*y**6 + 0 + 0*y**5 + 15*y + 0*y**... | {
"pile_set_name": "DM Mathematics"
} |
atest common factor of 5504 and 43?
43
Calculate the greatest common divisor of 6115 and 5.
5
Calculate the greatest common factor of 477 and 279.
9
Calculate the greatest common factor of 3374 and 14.
14
What is the highest common factor of 20 and 116?
4
Calculate the highest common divisor of 73 and 4307.
73
Calculat... | {
"pile_set_name": "DM Mathematics"
} |
Solve -3*t + s - 51 = 3 - 11 + 14, 38 = -2*t - 13*s for t.
-19
Solve 4*d = 8*c - d - 5 - 45 + 1, -4 = -2*d + 2 for c.
8
Solve -v + 26 = -2*z, 2*v = 270*z - 271*z + 52 for z.
0
Solve 3*m - 9652 = -o - 9616, 2*m = 4*o - 3*m + 77 for o.
-3
Solve -16*w + 508 = 3*c, 32*c - 21*c = 14*c - 12 for w.
31
Solve -2*w - 3*w = 3*o -... | {
"pile_set_name": "DM Mathematics"
} |
s the second derivative of -1189*b*x**2 - 137165*b*x + b + 127*x**2 wrt x?
-2378*b + 254
Differentiate -363*j**3*s - 99*j**3*v + 792*j*s**3*v + 494*s**3 with respect to v.
-99*j**3 + 792*j*s**3
What is the third derivative of 175*s**6 + 55*s**3 - 2*s**2 - 9*s - 99?
21000*s**3 + 330
What is the third derivative of -11*p... | {
"pile_set_name": "DM Mathematics"
} |
/1785*w**7 + 0 - 3/952*w**8 + 0*w**5. Solve q(y) = 0 for y.
-1, -2/9, 0
Let d be (10/15)/(2/111). Suppose -4*j + d = 1. Find v, given that 9*v**3 - 3*v**4 + 9 - 3*v**2 + 2*v - j*v - 2*v - 3 = 0.
-1, 1, 2
Suppose 3 + 2 = -5*r, 4*x + 4*r = 8. Factor -4*k + 59*k**x - 3*k**2 + 11*k**2 - 63*k**3.
-4*k*(k - 1)**2
Factor 0*r*... | {
"pile_set_name": "DM Mathematics"
} |
he lowest common multiple of 23920 and 5720.
263120
What is the smallest common multiple of 438438 and 79716?
876876
What is the least common multiple of 7860 and 120?
15720
Find the common denominator of 83/147864 and 11/12.
147864
Find the common denominator of 79/40 and 25/1467648.
7338240
What is the least common m... | {
"pile_set_name": "DM Mathematics"
} |
hat is next in -744837, -744833, -744829, -744825, -744821, -744817?
-744813
What comes next: -34377, -34788, -35195, -35598, -35997?
-36392
What comes next: -373548, -375087, -376624, -378159, -379692?
-381223
What comes next: 1504, 4303, 8396, 13783, 20464?
28439
What comes next: 570351, 570621, 570891, 571161, 57143... | {
"pile_set_name": "DM Mathematics"
} |
*6/144 + p**4/3 + 2*p. Let t(u) be the third derivative of l(u). What is c(t(w))?
25*w**2
Let p(l) = -50*l**2 + 2*l + 2. Let x(d) = 49*d**2 - 3*d - 3. Let j(o) = 6*p(o) + 4*x(o). Let m(h) = -h. Give m(j(n)).
104*n**2
Let n(m) = -245*m**2 + 4*m. Let z(b) = 2*b. Give n(z(c)).
-980*c**2 + 8*c
Let i(a) = -12*a + 11. Let g(... | {
"pile_set_name": "DM Mathematics"
} |
, y + 3 = -3*c + 4*y. What is the remainder when 9 is divided by c?
0
Let q = -25 + 27. Suppose 1 = q*j - 69. What is the remainder when j is divided by 12?
11
Let t = -705 + 728. Let r = 81 + -14. Calculate the remainder when r is divided by t.
21
Let q(c) = -c**2 + 25*c + 154. What is the remainder when q(29) is divi... | {
"pile_set_name": "DM Mathematics"
} |
he nearest integer?
140
What is 363979363 to the power of 1/2, to the nearest integer?
19078
What is the third root of 349083892 to the nearest integer?
704
What is 641289231 to the power of 1/4, to the nearest integer?
159
What is 1193664832 to the power of 1/4, to the nearest integer?
186
What is 631177351 to the pow... | {
"pile_set_name": "DM Mathematics"
} |
f 6707 to the nearest integer?
3
What is the cube root of 97521 to the nearest integer?
46
What is the square root of 1411 to the nearest integer?
38
What is 31297 to the power of 1/2, to the nearest integer?
177
What is 1216 to the power of 1/3, to the nearest integer?
11
What is 37526 to the power of 1/2, to the near... | {
"pile_set_name": "DM Mathematics"
} |
he remainder when 30574 is divided by 297.
280
What is the remainder when 760 is divided by 680?
80
Calculate the remainder when 104692 is divided by 478.
10
Calculate the remainder when 560695 is divided by 525.
520
Calculate the remainder when 13611 is divided by 6779.
53
Calculate the remainder when 4863 is divided ... | {
"pile_set_name": "DM Mathematics"
} |
(-1))/(t**1/(t/((t*t**1*t)/t)))) assuming t is positive.
t**(-254/99)
Simplify (((i*i**(-5)*i/(i**(-6)/i))**(-2/17))**(-10))**(-40) assuming i is positive.
i**(-3200/17)
Simplify ((x**(2/11)/x)/x**(-7)*x**0*x**(8/11))**38 assuming x is positive.
x**(2888/11)
Simplify ((u**(-1/4))**40)**(-9)*(u/(u/u**1))**20/(u*u/(u**(2... | {
"pile_set_name": "DM Mathematics"
} |
2*r + 1. Let j be d(-23). Factor 7 - 3*m**3 + 5 + 40*m**2 - j*m - 25*m**2.
-3*(m - 2)**2*(m - 1)
Let j(v) = -11*v - 24. Let i be j(-5). Factor -66*u - 4*u**2 + 27*u + i*u.
-4*u*(u + 2)
Let a(j) be the second derivative of -j**4/3 - 2348*j**3/3 - 689138*j**2 - 1854*j. Suppose a(u) = 0. What is u?
-587
Let f(g) be the th... | {
"pile_set_name": "DM Mathematics"
} |
c**2 + 3*c - 27. Let n(v) = -2*v**2 - 3*v + 22. Determine 6*n(f) + 5*q(f).
3*f**2 - 3*f - 3
Let m(x) = -191*x - 15. Let i(n) = 96*n + 8. Calculate 11*i(z) + 6*m(z).
-90*z - 2
Let x(j) = 1. Let c(v) = 7*v + 9. Let a(m) = c(m) - 4*x(m). Let o(z) = 4 + 2 - 7 - 7 - 11*z. Determine -8*a(p) - 5*o(p).
-p
Let n(l) = 6*l + 1. L... | {
"pile_set_name": "DM Mathematics"
} |
f(o) = -76*o - 69. Calculate 7*f(q) + 2*n(q).
-78*q - 85
Let w(j) = 6*j**2 - 2. Let c(a) = -2879*a + 2878*a + 240*a**2 - 239*a**2. Give 4*c(z) - w(z).
-2*z**2 - 4*z + 2
Let q(t) = 511*t**2 - 3*t. Let l(i) = 39*i**2 + i. Determine 2*l(d) + q(d).
589*d**2 - d
Let f(q) = -70*q**3 - 34*q**2 - 5*q. Let u(s) = 141*s**3 + 62... | {
"pile_set_name": "DM Mathematics"
} |
+ u = 3*a for x.
-5
Suppose -4*u = 2*g + 294, 134*u - 130*u = 3*g - 299. Suppose -5*b - 5*t + 507 = 52, 93 = b + 2*t. Let r = u + b. Solve i + r = 5*m, 5*i = m + 3*i - 12 for m.
2
Let d = -63 + 90. Suppose -d*s = -25*s - 4. Solve -t - 18 = -5*j, s*t = -5*j - t + 26 for j.
4
Let f(k) = 3*k**2 - 17. Let d be f(-7). Let h... | {
"pile_set_name": "DM Mathematics"
} |
+ 203116*a**2 - 609326*a**2.
22*a**2
Collect the terms in 1532*r**2 - 4576*r**2 - r + 7*r - 6*r + 1518*r**2 + 1527*r**2.
r**2
Collect the terms in -11*p**2 - 77 + 98 - 54*p**2 - 16*p**3 + 17*p**3 - 21.
p**3 - 65*p**2
Collect the terms in 13*j**2 - 313 + 144 + 788*j + 169.
13*j**2 + 788*j
Collect the terms in 735362887... | {
"pile_set_name": "DM Mathematics"
} |
divisor of 21 and j?
7
Let l = -1128 - -8148. What is the greatest common divisor of 108 and l?
108
Let m be (-1470)/28*4/(-7). Calculate the greatest common divisor of 7380 and m.
30
Suppose -2170 + 9914 = 32*o. What is the greatest common divisor of o and 9801?
121
Let z = -4 - -9. Let h = 6 - z. Suppose 2*n + h = 33... | {
"pile_set_name": "DM Mathematics"
} |
0.0000008
Let i = 237 - 236.9932. What is i rounded to three dps?
0.007
Let r = 263.1 - 263.09997381. Round r to 5 decimal places.
0.00003
Suppose -w + 5135355 = 5*a - 3*w, -2*w - 2054148 = -2*a. Suppose -3*g = a - 10927069. Round g to the nearest one million.
3000000
Let m be 2 - (-1 - 6602)*(-30)/(-18). Suppose 7*l +... | {
"pile_set_name": "DM Mathematics"
} |
is (6/(-27))/(34*2668/(-11832))?
2/69
What is 30/8*1*456/3420*-66?
-33
What is the value of ((-8)/260)/((-10)/7*(-147)/175)?
-1/39
(34/(-16))/(630/2520)
-17/2
What is the value of 43*(-903)/399384*-240?
70/3
Evaluate -54*3/(-2)*((-3164)/2712)/(126/(-64)).
48
Calculate 41*(-54)/(-6273)*-34.
-12
Evaluate (-27)/(-3)*-1*(... | {
"pile_set_name": "DM Mathematics"
} |
g = -1.16 - -1.01. Let m = 0.35 - g. Which is the closest to 0.1? (a) -3/7 (b) m (c) -5
b
Let i = 1090 + -1296. Let g = i - -210. Let j = -12 + 38/3. Which is the nearest to 12? (a) g (b) 0.4 (c) j
a
Let f = -5.22 - -0.22. Which is the closest to 0? (a) -1/6 (b) f (c) -2
a
Let t = -205/119 - -22/17. Let w = 0.... | {
"pile_set_name": "DM Mathematics"
} |
ounded to one dp?
11.6
Let p = -95942 - -95538.63. Let w = -2.37 - p. Let u = 400.693 - w. Round u to 2 dps.
-0.31
Let k be (-4 - -2) + -1 + (-32)/(-2). Let x be k/((-234)/1860)*30. What is x rounded to the nearest 1000?
-3000
Let k = 9898 - 11564.2. Let d = -1451 - k. Let w = -244 + d. Round w to 0 dps.
-29
Let n = 33... | {
"pile_set_name": "DM Mathematics"
} |
, 898904?
1427575
What is the next term in -884, 152, 1170, 2152, 3080, 3936?
4702
What is the next term in 96105, 94941, 93767, 92577, 91365?
90125
What comes next: -828647, -3314563, -7457759, -13258235, -20715991, -29831027, -40603343?
-53032939
What comes next: -71022, -70570, -70118, -69666?
-69214
What is next in... | {
"pile_set_name": "DM Mathematics"
} |
of 1/9, to the nearest integer?
4
What is 2349 to the power of 1/7, to the nearest integer?
3
What is the cube root of 23018 to the nearest integer?
28
What is 10534 to the power of 1/10, to the nearest integer?
3
What is 15406 to the power of 1/3, to the nearest integer?
25
What is the fourth root of 630 to the neares... | {
"pile_set_name": "DM Mathematics"
} |
0.24 (e) 0.03
d
What is the biggest value in -7/4, 174/37, 13/6?
174/37
What is the biggest value in -0.482, 531, -2/17, -3, 0.2?
531
What is the third biggest value in -0.2, -26, -24, 6, -8, 14/3?
-0.2
Which is the second smallest value? (a) 9/10 (b) -926.5 (c) 1 (d) -0.2 (e) -1
e
Which is the smallest value? (... | {
"pile_set_name": "DM Mathematics"
} |
l**6 + 0*l**3 + 0 + 1/252*l**7 + 1/72*l**4 + 32*l - 1/120*l**5. What is c in u(c) = 0?
-1, 0, 1
Suppose 2*z + 3*r - 18 - 5 = 0, 0 = 3*z + 3*r - 33. Suppose -42 + z = -8*m. Suppose 11/4*w**2 + 1/2*w + 21/4*w**3 + 0 + 5/4*w**5 + 17/4*w**m = 0. Calculate w.
-1, -2/5, 0
Let a(q) = -191*q + 2676. Let c be a(14). Determine z... | {
"pile_set_name": "DM Mathematics"
} |
of 102474?
True
Is 75 a factor of 1549575?
True
Does 11 divide 491119?
False
Does 76 divide 1838136?
True
Does 138 divide 594402?
False
Is 49 a factor of 1976526?
False
Does 18 divide 237906?
True
Is 37439 a multiple of 310?
False
Does 6 divide 4446?
True
Is 33 a factor of 107580?
True
Is 12 a factor of 447228?
True
Do... | {
"pile_set_name": "DM Mathematics"
} |
in 122, 175, 262, 383?
538
What is the next term in 52, 13, -36, -101, -188?
-303
What is the next term in -47, -74, -107, -140, -167, -182, -179?
-152
What is next in 83, 128, 161, 176, 167, 128, 53, -64?
-229
What comes next: 8, 2, -18, -58, -124, -222, -358?
-538
What comes next: 2578, 2582, 2588, 2596, 2606?
2618
W... | {
"pile_set_name": "DM Mathematics"
} |
*c - 970*c**2 + 337*c**2 as l*c + o + q*c**2 and give q.
-1088
Rearrange (-2*h**3 - 52*h**2 - 5 - 52*h**2 + 106*h**2)*(-4 + 6 - 5)*(0 - 20 + 2) to f*h + g*h**2 + u + d*h**3 and give d.
-108
Rearrange -4387*d - 1493*d - 1363 + 1363 to the form z*d + t and give z.
-5880
Express -5507*m + 3648*m + 496*m - 8952*m in the fo... | {
"pile_set_name": "DM Mathematics"
} |
closest to -2/3 in 0.1, -2, -0.12, 2/5?
-0.12
What is the closest to 154 in -3, -4, 0?
0
Which is the nearest to -0.1? (a) 6 (b) -7 (c) 11
a
Which is the nearest to 1? (a) -1/3 (b) -4 (c) 4 (d) 2/7
d
Which is the closest to 1/4? (a) -0.1 (b) -2/7 (c) -1 (d) 3.2
a
Which is the closest to 0.07? (a) 3.4 (b) -... | {
"pile_set_name": "DM Mathematics"
} |
be p(q). What is i rounded to the nearest 10?
80
Let n be 7336/6*10671/(-2). Let c = 2023538 + n. Round c to the nearest one million.
-5000000
Let k = 0.41 - 0.07. Let a = 0.392 - k. Let p = a + -0.0652. What is p rounded to 3 dps?
-0.013
Let c = 32.00073 - 32. Round c to four decimal places.
0.0007
Let s = 1.6 + 13.4.... | {
"pile_set_name": "DM Mathematics"
} |
j be (4/(-6))/(20 - 18). Let y = -5.02 + 5. Let q = -1.02 - y. Which is the nearest to q? (a) j (b) 0.2 (c) -4
a
Let i = 45 - 105.5. Let h = -61 - i. What is the nearest to h in 5, -1/3, -2/5?
-2/5
Let p = 934.75 + -933. Let j = 1.67 - p. What is the closest to j in -2, -2/19, 1?
-2/19
Suppose -4*s - 24 = 12. Let q... | {
"pile_set_name": "DM Mathematics"
} |
factors of f?
2, 3, 7
What are the prime factors of 3 + -2 - (-1795 + -4 + 4)?
2, 449
Let n = -153 - -2157. Let d be (-2)/(-13) + n/156. Suppose -5*c + 48 = d. List the prime factors of c.
7
Let z(u) = -u**3 - u**2 + 109. Let i be z(0). Let o = 208 - i. What are the prime factors of o?
3, 11
Suppose 3*w + 7 = 5*m, 5*m ... | {
"pile_set_name": "DM Mathematics"
} |
composite?
True
Let d(o) = o - 3. Let l be d(5). Suppose -4*k + 275 = -2301. Suppose -l*a + k = 2*a. Is a composite?
True
Suppose 4*a - 1 = 7. Let o be (-1 - 1 - -2)/a. Suppose o = x - 0*x - 33. Is x a prime number?
False
Is (-6513 + -4 - 1)*(-1)/2 prime?
True
Let g(v) be the first derivative of 1/3*v**3 + 7/2*v**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
by b(40)?
132
Let i be -7*(22/242 - (-146)/(-154)). Suppose -3*s + 5*o = -136, -4*s + i*s = -2*o + 96. Calculate the remainder when s is divided by 28.
19
Suppose 0 = 3*k + 5*x + 492, -2*x + 492 = -3*k - 0*x. Let v = k - -197. What is the remainder when v is divided by 0 + -2*(-9)/2?
6
Suppose 0 = 4*q + 4*t - 644, -5*q... | {
"pile_set_name": "DM Mathematics"
} |
*4 - 1/10*j**5 - 4*j**2 + 7*j. What is the derivative of p(m) wrt m?
-6*m**2
Let h(m) be the first derivative of -2*m**3/3 + 2*m**2 + 3*m - 3. Let g(o) be the first derivative of h(o). What is the first derivative of g(s) wrt s?
-4
Let s(l) be the second derivative of l**6/10 - l**4/6 - 3*l. What is the third derivativ... | {
"pile_set_name": "DM Mathematics"
} |
e nearest integer?
622
What is 673872 to the power of 1/2, to the nearest integer?
821
What is 6908742 to the power of 1/8, to the nearest integer?
7
What is the cube root of 12920740 to the nearest integer?
235
What is 496449 to the power of 1/5, to the nearest integer?
14
What is 1027550 to the power of 1/7, to the n... | {
"pile_set_name": "DM Mathematics"
} |
of v and 58.
29
Let q be (1/(-4) + (-473)/(-132))*3. Let a = -16 - -26. What is the highest common divisor of q and a?
10
Let a = -2 - -4. Let m = -544 + 554. Calculate the greatest common factor of a and m.
2
Suppose -2*p = 5*o - 184, -o + 85 = p - 2*o. Suppose l = 4*h - 6*h + 26, -3*h = -3*l + p. Calculate the highes... | {
"pile_set_name": "DM Mathematics"
} |
-176485)/1880 + 95)/((-66)/8)?
-3/22
Calculate 475/10*(-20)/(-75)*(-20 - (-731)/34).
19
Evaluate (-40)/(-12)*(-2385)/(-2650)*(-1)/53.
-3/53
What is the value of 2*((147 - 144)/((-3)/(-4)) - 114/4)?
-49
Calculate (-7)/((-4312)/3101) + (-24)/52 + (-770)/(-2288).
54/11
(8/(-16)*(2 - -1))/(33*(-14)/(-6776))
-22
What is (-3... | {
"pile_set_name": "DM Mathematics"
} |
- 20*q**2 + 90*q - 10. Calculate n(5).
65
Let s(d) = 5*d**2 - 113*d + 442. Calculate s(4).
70
Let c(z) = 100*z**2 - 7*z - 13. Give c(-2).
401
Let c(i) = 12*i**3 + 528*i**2 - 4*i - 153. What is c(-44)?
23
Let l(m) = -26*m**3 - 3*m**2 + 2*m + 6. Give l(2).
-210
Let m(h) = -260*h + 1305. What is m(5)?
5
Let w(h) = 4*h**2... | {
"pile_set_name": "DM Mathematics"
} |
)).
33*h
Let d(r) = -r. Let s = 3 + -4. Let l(i) = 7*i**2 - 4*i. Let j(a) = s*l(a) + 4*d(a). Let b(x) = 29*x + 22*x - 83*x + 23*x. Give j(b(t)).
-567*t**2
Let c(w) = -1461*w**2 - 1281*w**2 + 3041*w**2 - 1120*w**2. Let g(t) = 8*t**2. Determine g(c(j)).
5392328*j**4
Let z(v) = 2*v**2 + 58*v. Let j(r) = 3632*r - 1. Calcul... | {
"pile_set_name": "DM Mathematics"
} |
What is r rounded to the nearest integer?
10
Let z = -0.2 + 1.2. Let f = -107 + 107.89. Let m = f - z. Round m to 2 decimal places.
-0.11
Let v = -6.985 - -7. Let l = -58.985 - v. Let s = -59.41 - l. Round s to 1 dp.
-0.4
Let f = -17 - -32. Let g = f - 15.000038. Round g to five decimal places.
-0.00004
Let x = -702.7... | {
"pile_set_name": "DM Mathematics"
} |
2
Calculate the remainder when 57147 is divided by 188.
183
What is the remainder when 23211 is divided by 893?
886
What is the remainder when 2723755 is divided by 1164?
1159
What is the remainder when 10377 is divided by 12?
9
Calculate the remainder when 9004876 is divided by 13.
10
What is the remainder when 2849 i... | {
"pile_set_name": "DM Mathematics"
} |
Let j(q) = q**3 + q**2 - q + 1. Let c = 16 - 16. Suppose 8 = -4*f - 2*l - c*l, -9 = 5*f + 2*l. Let g(m) = m**3 + 4*m**2 - 2*m + 1. Calculate f*g(h) + 2*j(h).
h**3 - 2*h**2 + 1
Let p(l) be the first derivative of -2*l**2 - 3*l + 7. Let z(i) = -1. Calculate p(j) - 2*z(j).
-4*j - 1
Let g(f) be the third derivative of -f*... | {
"pile_set_name": "DM Mathematics"
} |
-i**7/1260 - i**4/6 + i. Let y(u) be the third derivative of h(u). Determine y(n(c)).
-72*c**2
Let t(k) = -5*k. Let r(h) = -h. Let p(g) = -g**2 - g. Let m(o) = 5*p(o) - 5*r(o). Calculate m(t(q)).
-125*q**2
Let g(p) = p**2 - 6*p. Let v(c) = -c**2 - c. Let a(b) = -g(b) + 6*v(b). Let i(r) be the third derivative of -r**5... | {
"pile_set_name": "DM Mathematics"
} |
, -2/5, 1882, -1/5, 4 in descending order.
1882, 4, -1/5, -2/5, -4/5, -68
Sort -8, 4, 19601, 11, 2, -1, -4 in descending order.
19601, 11, 4, 2, -1, -4, -8
Sort -0.8, -2, 4, 0, -0.2, -2/3743 in increasing order.
-2, -0.8, -0.2, -2/3743, 0, 4
Sort -23/4, 2/13, 3, 3/337, 3/2, 4.
-23/4, 3/337, 2/13, 3/2, 3, 4
Sort 1268/5,... | {
"pile_set_name": "DM Mathematics"
} |
((-2)/28). Suppose -46 = -5*v - g, 42 = t*v + v + 2*g. Is v a multiple of 5?
True
Let l be ((-9)/(-6))/(3/6). Suppose -g - 3*p = 26 + 16, 5*g + 138 = l*p. Let m = g + 36. Is m a multiple of 6?
True
Let i be ((-2)/(-6)*-2)/(2/(-9)). Suppose 4*m - 657 = 5*g, 0*g = 3*m - i*g - 489. Does 13 divide m?
False
Suppose 3*f = 3*... | {
"pile_set_name": "DM Mathematics"
} |
(9 + (-16)/4)*-1. Let a(l) = -2*l**3 - 5*l**2 - 4. Let s be a(d). Calculate the greatest common divisor of s and 11.
11
Suppose -4*a + 5*p = 0, 2*a + 4*p = 4*a. Let b be ((a - 3) + 4)*1. Suppose 0 = 4*i - 3*r + 8*r + b, 5 = -r. Calculate the greatest common factor of 30 and i.
6
Let x = -518 - -654. Calculate the high... | {
"pile_set_name": "DM Mathematics"
} |
t r be 2/(-12) + 21/c. Suppose 4*p - 4 = -5*j, 2*j + r*j + 2 = 2*p. Let g(a) = 24*a. Calculate g(p).
24
Let o = 175 + 7. Let g = 175 - o. Let b(m) = -m**2 - 8*m + 5. Calculate b(g).
12
Let l(q) = q**3 - 3*q**2 + 2*q + 2. Let b be l(3). Suppose 8*r + b = 10*r. Let f(s) = -2*s**2 + s**3 - r + 20*s - 18*s + 0*s**2. Give f... | {
"pile_set_name": "DM Mathematics"
} |
-3
Let j = 2946 - 2944. Solve 833 - 841 = j*k for k.
-4
Let o be (-1)/6 + 4907*75/630. Solve 4*f = o - 588 for f.
-1
Suppose -170*v = -171*v + 4. Suppose -3 = 12*d - 195. Solve 3*q - v = -d for q.
-4
Let w(g) = -14*g**2 - 13*g + 93. Let r be w(5). Let v = r - -327. Solve 12 = v*u - 8 for u.
4
Suppose 6 = -4*f + 3*k + ... | {
"pile_set_name": "DM Mathematics"
} |
1 for d.
3
Solve -1007 = -9*i - 1079 for i.
-8
Solve 16*a + 36 = 34*a for a.
2
Solve -2*b = -8 + 2 for b.
3
Solve 1 + 5 = -3*l for l.
-2
Solve 17*n + 3*n - 40 = 0 for n.
2
Solve 0 = -16*g - 53 + 117 for g.
4
Solve 9*b + 9 = 12*b for b.
3
Solve -163*q = 882 + 748 for q.
-10
Solve 56*l = 10 + 158 for l.
3
Solve -10959 + ... | {
"pile_set_name": "DM Mathematics"
} |
= -17, 0*u - 4*u - 2*m = -18. What is the second biggest value in -0.3, r, u?
-0.3
Let r = -1024 - -1027. Which is the second smallest value? (a) 1/4 (b) -14/15 (c) r
a
Let u = 24.05 + -24. Let n = u + -0.01. Let r be 1 - ((-13)/(-11) + 0). Which is the smallest value? (a) r (b) -2/13 (c) n
a
Let f = 7.35 + -7.8... | {
"pile_set_name": "DM Mathematics"
} |
/(-12))?
165
Let u = -2627 - -2777. What is the lowest common multiple of 180 and u?
900
Let g = -46/4325 - -191369/14333050. What is the common denominator of -61/8 and g?
13256
Let o = 502 + -421. Let m = 6 - -6. Calculate the lowest common multiple of m and o.
324
Let r be (10830992/577971880)/((-1)/(1*-5)). Let t =... | {
"pile_set_name": "DM Mathematics"
} |
24.1l in millilitres?
880324100
How many nanograms are there in 0.0064609ug?
6.4609
How many minutes are there in five sixths of a week?
8400
How many millimeters are there in 3/5 of a meter?
600
What is 1/5 of a minute in milliseconds?
12000
How many seconds are there in 2/15 of a day?
11520
What is 25/4 of a week in ... | {
"pile_set_name": "DM Mathematics"
} |
6)/(-4). What is the greatest common factor of l and f?
10
Let y = 198 + -138. Suppose 2*w - l + 11 = 45, -w - 5*l = 5. Calculate the highest common divisor of y and w.
15
Suppose 0 = -4*l + 60 + 72. Let f = l + 57. What is the greatest common divisor of f and 36?
18
Let m be (17/(-2))/(3/(-30)). Suppose 5*t - m = 135.... | {
"pile_set_name": "DM Mathematics"
} |
-2
Let l(k) = k**2 + 5*k - 6. Let z be l(-7). Solve 3*y = z*y - 15 for y.
3
Suppose 6*m = 32 + 58. Solve 0 = 5*a + 5 - m for a.
2
Let p(f) = -4*f + 2. Let z = -7 - -5. Let o be p(z). Solve 0*v + o = 2*v for v.
5
Let s = -3 - -3. Suppose -d - 3*o - 1 = 0, -13 = -4*d - d + 3*o. Solve -c + d*c = s for c.
0
Suppose -22 = ... | {
"pile_set_name": "DM Mathematics"
} |
mmon factor of 423 and 118346.
47
What is the greatest common divisor of 536 and 1012504?
536
What is the highest common factor of 8096 and 54560?
352
What is the greatest common divisor of 1002 and 1215?
3
Calculate the highest common factor of 5351317 and 307.
307
Calculate the highest common factor of 32 and 200096.... | {
"pile_set_name": "DM Mathematics"
} |
se 3, what is -20 - 10110000200?
-10110000220
In base 9, what is -11421271 + 4?
-11421266
In base 10, what is 281 + -23670?
-23389
In base 13, what is -36 + cc?
96
In base 4, what is 113 + 110110?
110223
In base 8, what is 2 - -17464?
17466
In base 9, what is 1 - -6537?
6538
In base 16, what is -2 + -3b7b?
-3b7d
In bas... | {
"pile_set_name": "DM Mathematics"
} |
Round t to the nearest 100000.
600000
Let u = -10 + 10.000056. What is u rounded to five decimal places?
0.00006
Let g = -69 - -69.0000016. Round g to 6 decimal places.
0.000002
Suppose 0 = w - 1 - 2. Suppose w*b = b + 300. What is b rounded to the nearest 100?
200
Let j = 5 - -31. Let x = j + -35.36. Round x to one d... | {
"pile_set_name": "DM Mathematics"
} |
21101
-100111100111 (base 2) to base 9
-3426
What is -322202 (base 4) in base 15?
-119b
-32023 (base 5) to base 13
-c86
12012 (base 5) to base 15
3dc
Convert -204 (base 13) to base 4.
-11112
Convert 2e9 (base 15) to base 5.
10134
Convert -3343210 (base 5) to base 13.
-20c24
Convert -2334 (base 5) to base 4.
-11120
Conv... | {
"pile_set_name": "DM Mathematics"
} |
, -2759569, -3219485?
2*x**2 - 459942*x + 11
What is the w'th term of -39801474, -39801476, -39801478, -39801480?
-2*w - 39801472
What is the b'th term of -39928343, -39928342, -39928341, -39928340, -39928339?
b - 39928344
What is the f'th term of -670649, -670677, -670705?
-28*f - 670621
What is the w'th term of 272, ... | {
"pile_set_name": "DM Mathematics"
} |
e 3*z - 15*z = -60. Suppose 3*q = -3*a + 6*a - 315, -4*a - z*q + 465 = 0. Calculate the remainder when a is divided by 16.
14
What is the remainder when 866 is divided by (-8)/10 + (72/(-40))/9 - -15?
12
Let p = 73 + -194. Let k = p - -154. Calculate the remainder when 128 is divided by k.
29
What is the remainder when... | {
"pile_set_name": "DM Mathematics"
} |
410059 to the nearest integer?
9
What is the tenth root of 94904 to the nearest integer?
3
What is the cube root of 581321 to the nearest integer?
83
What is 27665372 to the power of 1/2, to the nearest integer?
5260
What is the square root of 338206 to the nearest integer?
582
What is the eighth root of 1467609 to the... | {
"pile_set_name": "DM Mathematics"
} |
+ 1 - k**2 - 1.
-2152*k**2
Expand (0 - 2 + 4)*(8 - 7 - 24)*(-4*z - 18 + 6*z - 5*z).
138*z + 828
Expand 2 - 2 + 2*n + (-1 + 1 + 2*n)*(1 - 4 + 1) + (3 + 1 + 0)*(n - 11*n - 3*n) - n + 3 - 3.
-55*n
Expand (-1 + 1 - 2*i)*((-2 + 2 - 2*i)*(-1 - 1 + 0) - 683*i + 466*i + 3490*i).
-6554*i**2
Expand (-4644 + 7*m + 2321 + 2331 + (... | {
"pile_set_name": "DM Mathematics"
} |
9:07 PM?
11:54 AM
What is 373 minutes after 3:29 PM?
9:42 PM
How many minutes are there between 9:06 PM and 8:54 AM?
708
How many minutes are there between 2:05 AM and 7:14 AM?
309
How many minutes are there between 2:21 PM and 1:16 AM?
655
How many minutes are there between 11:23 PM and 12:23 AM?
60
What is 366 minut... | {
"pile_set_name": "DM Mathematics"
} |
is the third derivative of 261526*d**3 + 7621772*d**2 wrt d?
1569156
What is the second derivative of 370378045*p**2 + 2764202*p + 5?
740756090
What is the third derivative of 950*u**3*x**3 - 2823*u**3*x - 2431*u**3 - 2*u**2*x**3 - 3*u*x**2 - 44696*x**3 wrt x?
5700*u**3 - 12*u**2 - 268176
What is the derivative of 107... | {
"pile_set_name": "DM Mathematics"
} |
et i be s(-4). Let z be 8/6 - i/(-6). Solve -2*g = -2*k - 2*k - z, 0 = g - k - 1 for g.
1
Suppose 14 = -2*m + 22. Solve 0 = 2*o - m*z + 4, 0*z + z = 5*o + 1 for o.
0
Suppose 4*a + 12 = 4*s, 4*s + 0 - 3 = a. Suppose 4*l = -4, s*l + 6 = f - l. Solve 18 = p + f*w, 4 = -p + 5*p + 3*w for p.
-2
Suppose 4*l - 3*c = 47, -3*c ... | {
"pile_set_name": "DM Mathematics"
} |
384*y
Let r be 2496/20 - (-8)/40. Let i be -5*6*(-2350)/r. Differentiate -14 - 587*u**4 + i*u**4 - 2 wrt u.
-92*u**3
Let o(r) be the first derivative of 1150*r**4 + 828*r**3 - 5302. What is the third derivative of o(p) wrt p?
27600
Let h(x) = -1304*x**2 + 6*x - 535. Let p(l) = 2586*l**2 - 11*l + 1070. Let c(v) = 11*h(... | {
"pile_set_name": "DM Mathematics"
} |
- 3*s - 2*s) + 2*s - 3*s + 0*s + 0*s - 2*s + 15*s).
-20*s**2
Expand (-1 + 1 + 1)*(3*z**2 + 0*z**2 - 7*z**2)*(-5*z**3 - 2*z**3 + 5*z**3).
8*z**5
Expand (0*a - a + 0*a)*(7*a - 16*a - a).
10*a**2
Expand (2*i - 10*i + 12*i)*(1 - 1 - 2).
-8*i
Expand (0 - 3 + 2)*(v**2 + 1 - 1) - 5*v + 5*v - 2*v**2 - 2*v**2 - 2 + 2 - v**2 + 2... | {
"pile_set_name": "DM Mathematics"
} |
re there between 10:29 AM and 9:39 PM?
670
How many minutes are there between 2:44 AM and 11:08 AM?
504
How many minutes are there between 5:42 PM and 10:02 PM?
260
What is 665 minutes after 6:38 AM?
5:43 PM
What is 304 minutes before 5:22 AM?
12:18 AM
How many minutes are there between 12:18 AM and 3:19 AM?
181
How ma... | {
"pile_set_name": "DM Mathematics"
} |
- 2*h - 0*h + 302. What is the tens digit of l?
7
Let w(o) = 2*o + 50. Let l be w(-23). Let d be (-4252)/(-18) - (-16)/(-72). Suppose l*h = 8*h - d. What is the tens digit of h?
5
Suppose 3624 = 79*a - 76*a. What is the hundreds digit of a?
2
Let r = 14 - 12. Let k be (11/2 - -2)*8/6. What is the tens digit of (16 - k... | {
"pile_set_name": "DM Mathematics"
} |
ve b.
25132
Express (-1 - 1 + 0)*(0 + 70*t - 1 + 86*t)*(0 + 0 + 2)*(1 - 4 + 5)*(4 - 2 + 0)*(t + 0*t + t) as d*t**2 + i*t + y and give i.
32
Express 6*q**2 + 16944*q**4 + 30*q**3 + 16940*q**4 + 16936*q**4 + 2 - 50819*q**4 as u*q**2 + a + r*q**4 + w*q**3 + o*q and give a.
2
Rearrange 149*o**3 - 185*o - 88*o**3 - 7*o**2 +... | {
"pile_set_name": "DM Mathematics"
} |
of 8/64*8/(-4)?
-1/4
What is the value of ((-82)/861)/((-1)/28*-4)?
-2/3
-3*140/126*(-3)/(-2)
-5
What is 5/(-1)*(-1)/(-1)*1?
-5
What is 5*(2/(-1))/2?
-5
Evaluate ((-54)/(-45))/((-2)/(-5)).
3
What is (-15)/(-20)*5/(-60)?
-1/16
Evaluate (-1)/((-9)/(360/(-10))).
-4
2/(-14)*-77*1/11
1
Calculate 2*(4/(-4))/(-2).
1
Evaluate ... | {
"pile_set_name": "DM Mathematics"
} |
n -192*b**3 - 81788578 + 81788578.
-192*b**3
Collect the terms in -6501*j + 20149*j - 7170*j - 6473*j.
5*j
Collect the terms in -403*s - 406*s - 403*s - 413*s + 1633*s.
8*s
Collect the terms in -4322*z**3 - 4431*z**3 + 1 - 4316*z**3 + 13068*z**3 - 1.
-z**3
Collect the terms in 33995*k**2 - 2*k + 66683*k**2 - 22509*k**2... | {
"pile_set_name": "DM Mathematics"
} |
*3 - 3*x**3 + 118 + 6*x**3 - 155 + 6*x**3 as r + n*x + i*x**3 + b*x**2 and give r.
-37
Express 18287*s + 11478*s - 13851*s in the form g + z*s and give z.
15914
Rearrange (-3*x + 2*x + 3*x + (0 + 3 - 1)*(x + 3 - 3))*(2210*x**3 + 2464*x**3 + 2048*x**3) to j + p*x**2 + g*x + w*x**3 + h*x**4 and give h.
26888
Express -3*t... | {
"pile_set_name": "DM Mathematics"
} |
er.
3, -5, q
Suppose p + 10 = 4*g, -5*g - 4*p + 2 = -0. Suppose 5*l - 102 + 32 = 0. Let k(v) = v**3 + 6*v**2 + 6*v. Let y be k(-5). Put l, y, g in descending order.
l, g, y
Let l(i) = -i**3 - 3*i**2 + 2*i + 4. Let g be l(-4). Suppose -g = 4*k, 6*j = 2*j + 4*k + 48. Suppose -x + j = 6. Put 5, -1/4, x in increasing order... | {
"pile_set_name": "DM Mathematics"
} |
l. Solve -l*u - 7 = -3*w - 9*u, -3*w + 2*u = p for w.
-1
Let w(a) = -17*a + 529. Let z be w(31). Solve -7*h - 19 = 5*q - 9*h, 0 = -q - z*h + 1 for q.
-3
Let p be (((-81)/(-9) + -8)/(-1))/((-3)/9). Solve 18*q + 1 = 13*q + x, 0 = q - p*x + 3 for q.
0
Suppose -29 - 1 = 5*x. Let k be (-46)/x - (84/18 + -4). Let u be -2 - (... | {
"pile_set_name": "DM Mathematics"
} |
51. Let j(o) = b*q(o) + t*k(o). Find the second derivative of j(z) wrt z.
24*z**2
Let w(i) be the third derivative of 0*i**7 + 0*i**5 + 0 - 3*i**2 + 0*i**3 + 5/24*i**4 - 1/56*i**8 + 0*i**6 + 0*i. What is the second derivative of w(h) wrt h?
-120*h**3
Let q = 11 + -7. Find the third derivative of 2*m**4 + 9*m**q - m**2... | {
"pile_set_name": "DM Mathematics"
} |
late the lowest common multiple of w and 90.
990
Let i be ((-102)/10)/((-78)/130). Suppose 3*g = -d + 3, i = 2*d - 2*g - 21. What is the lowest common multiple of 12 and d?
60
Let y = -8752359 + 551359504/63. Let x = -1865/3 - y. What is the common denominator of -17/3 and x?
63
Let h = 10 - 4. Suppose -2 = -h*a + 4*a.... | {
"pile_set_name": "DM Mathematics"
} |
344?
23405343
In base 2, what is 101110011111111010000 - 100011001?
101110011111010110111
In base 11, what is 1198353a7 - 3?
1198353a4
In base 10, what is 155 + -600718?
-600563
In base 12, what is -1001812 - 4?
-1001816
In base 11, what is -150 + -10a736?
-10a886
In base 8, what is -3 + -62151722?
-62151725
In base 2,... | {
"pile_set_name": "DM Mathematics"
} |
+ b*i + 2/3*i**4 = 0.
-2
Let u(g) = -g**2 + 32*g + 3588. Let r be u(78). Let n = -65 + 391/6. Factor 0*m + n*m**3 - 2/3*m**2 + r.
m**2*(m - 4)/6
Let l(a) be the third derivative of 1/210*a**6 - 1/42*a**4 - 23*a**2 + 0*a - 1/70*a**5 + 2 + 0*a**3. Determine f so that l(f) = 0.
-1/2, 0, 2
Let g(w) be the third derivative ... | {
"pile_set_name": "DM Mathematics"
} |
etermine p(m).
-30
Let d(g) be the second derivative of g**5/20 + g**4/4 - g**3/3 + g**2 - 112*g. Let k(b) = -b**3 - 4*b**2 - 3*b - 4. Let h be k(-3). What is d(h)?
-6
Let l = 1 + -5. Let g(r) = -277 + 67 + r**3 + 2*r + 4*r**2 + 209. Calculate g(l).
-9
Let d(g) = -2*g**3 + 15*g**2 + 16*g - 18. Let a(s) = -3*s**3 + 22*s... | {
"pile_set_name": "DM Mathematics"
} |
+ 24 = 0, -3*m = n - 2*m - 8. What is the units digit of n?
2
Suppose 3*r = c + 4514, 4*c + 1509 = r + 8*c. What is the tens digit of r?
0
Suppose -42*b + 52141 = -25475. What is the tens digit of b?
4
Suppose -2*c = -4*c + 78. Let b = 19 + c. Suppose p = 3, -3*q - 5*p - b = -154. What is the tens digit of q?
2
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
) - (sqrt(104) + (sqrt(104) - sqrt(104)*2))))))*3)/((sqrt(8064)*2)/sqrt(7)) + 4.
4
Simplify (sqrt(8)*2*1)/(sqrt(144)*-5).
-sqrt(2)/15
Simplify ((2*sqrt(200)*6 - (-2*sqrt(200) + 3))*-2 + 5)**2.
-6160*sqrt(2) + 156921
Simplify (sqrt(720)*2 - sqrt(720))/(sqrt(20)/(sqrt(20)/sqrt(4))) - (-2*(0 + sqrt(80)))**2*-2.
6*sqrt(5) ... | {
"pile_set_name": "DM Mathematics"
} |
ppose 2*n + n - i = 0, -n = 3*w - 114. Suppose 0 = 5*a, 0 = -2*f + f - a + w. Is f a prime number?
True
Let a(d) = -4*d**3 - 5*d**2 - 3*d - 1. Let b(p) = -4*p**3 - 4*p**2 - 3*p - 1. Let r(t) = 3*a(t) - 4*b(t). Is r(3) prime?
True
Let m(k) = -k**3 + 8*k**2 + 3*k + 9. Let x = -4 + 12. Is m(x) prime?
False
Let z(s) = -s**... | {
"pile_set_name": "DM Mathematics"
} |
-385/4 - 13*sqrt(19)
Simplify (sqrt(1539) + 0 - (sqrt(171) - (sqrt(171) + (1*sqrt(171) - sqrt(171)) - sqrt(171)) - sqrt(171))/sqrt(9))**2.
1539
Simplify (sqrt(189)/sqrt(3) - (sqrt(63) - (sqrt(441)/sqrt(7) + sqrt(63)))/sqrt(9))**2.
112
Simplify ((sqrt(363) - (sqrt(363)*-3 - sqrt(363) - sqrt(363)))*3)**2*-5.
-588060
Sim... | {
"pile_set_name": "DM Mathematics"
} |
-3087/11)
Simplify (q**3*q/q**(5/9)*q)/((q/(q*(q/(q/(q/(q*q/((q*q/(q*q**(1/19)/q*q))/q)))))/q))/(((q*q**(-4/9))/q)/q)) assuming q is positive.
q**(18/19)
Simplify (((m**8*m)/m)/(m**(-6)*m)*((m/(m/(m**(-8)*m))*m*m)/m)/m*m*m**(-1/11))**(-3/20) assuming m is positive.
m**(-57/55)
Simplify ((z**(-7)*z*z/z**(4/7))/(z**(1/4)... | {
"pile_set_name": "DM Mathematics"
} |
406*u**2/3 + 17339*u/3 + 225929/2 = 0.
-47, -11, 23, 57
Solve -15*t**2 - 107445072*t + 21489015 = 0.
-7163005, 1/5
Determine k so that -3*k**3 - 353301*k**2/2 + 529955*k/6 - 9814 = 0.
-58884, 1/6, 1/3
Factor -83*c**3/3 - 5438*c**2/3 - 93056*c/3 - 43008.
-(c + 32)**2*(83*c + 126)/3
Find r such that -2*r**4/13 - 277246*r... | {
"pile_set_name": "DM Mathematics"
} |
-2
Express y**3 - y**3 + y**4 - 11*y**4 + 0*y**4 + 4*y**4 + (0*y**4 + 2*y**4 - y**4)*(1 + 0 + 1) as l*y**4 + b*y**3 + v*y**2 + f + u*y and give b.
0
Rearrange -17*o + 312 + 94*o - 314 to the form n*o + f and give n.
77
Rearrange (-2 + 3*s + 2)*(s + 0*s - 2*s) - s**2 - 5*s**2 + 4*s**2 + (-2*s + s - s)*(-4 + 4 - 2*s) to ... | {
"pile_set_name": "DM Mathematics"
} |
from hccccccccccchccccccc?
9/95
What is prob of sequence au when two letters picked without replacement from {u: 1, x: 3, a: 2, o: 5, c: 2, n: 6}?
1/171
What is prob of sequence hzwz when four letters picked without replacement from {z: 4, k: 6, h: 1, w: 8, p: 1}?
4/4845
What is prob of sequence qsqi when four letters ... | {
"pile_set_name": "DM Mathematics"
} |
rt u?
6*u
Let q(x) = 8*x**3 - 2*x + 7. Let d(u) = 8*u**3 - 3*u + 8. Suppose -3*w - 14 = 4*w. Let b(s) = w*d(s) + 3*q(s). What is the first derivative of b(l) wrt l?
24*l**2
Let n(s) = 23*s**4 - 4*s**2 + s - 192. Let w(i) = i**2. Let p(f) = n(f) + 4*w(f). Find the second derivative of p(t) wrt t.
276*t**2
Suppose -3*s +... | {
"pile_set_name": "DM Mathematics"
} |
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