text stringlengths 270 8.19k | meta dict |
|---|---|
-46.
92
Evaluate 572/338*80/440.
4/13
Evaluate 9/(324/(-152))*70/(6020/(-387)).
19
Evaluate (-8)/24*-3*((-1716)/(-22))/(-6).
-13
What is (-3)/(-6)*-75*(-58)/(-435)?
-5
What is the value of ((-13345)/1570)/((-10)/15*1/4)?
51
(2079/14)/27*852/66
71
Calculate ((-6)/21)/(((-50)/45)/5*1077/(-2872)).
-24/7
What is (-121)/(-1... | {
"pile_set_name": "DM Mathematics"
} |
+ 6 = -3*l, 0*l = v*l + 10 for k.
0
Suppose 4*i - 2 - 2 = 0, -4*i = 3*s - 325. Let b = s + -105. Solve 16 = b*y + 3*g, 6*g - 2*g - 16 = 0 for y.
2
Suppose l - 6*l = -5*m, 0 = -l - 3*l. Solve 5*r = -0*r - u - 12, m = -r + 2*u - 9 for r.
-3
Let c be (-6*22/8)/(18/(-24)). Solve 6 = 2*z, -2*x + 2*z - c = 2*x for x.
-4
Sup... | {
"pile_set_name": "DM Mathematics"
} |
uppose i = 2*a - 14099703 - 6300297. Round a to the nearest one million.
10000000
Let g = 0 - -2. Suppose 3*t = -g*t + 4*i - 2334, -t - 462 = -2*i. Let c be (11 - 3/3)*t. What is c rounded to the nearest one thousand?
-5000
Let g(s) = 4081*s**2 + 6*s + 5. Let b be g(-5). Round b to the nearest 10000.
100000
Let o = 0.0... | {
"pile_set_name": "DM Mathematics"
} |
t is r rounded to the nearest 10000?
320000
Let h = 41404.929734 - 41405. Round h to 4 decimal places.
-0.0703
Let i = 0.015154658 + -94.210910658. Let a = i + 94.2. What is a rounded to 3 decimal places?
0.004
Let p = 315 + -299.7. Let n = p + -15. Let q = 1.55 - n. Round q to 1 decimal place.
1.3
Let x(v) = -39*v + 1... | {
"pile_set_name": "DM Mathematics"
} |
= -9*s - 2. Let j(r) = 4*r + 1. Let x(y) = 2*f(y) + 5*j(y). Calculate 3*n(b) - 4*x(b).
-2*b - 1
Let z(g) = -7*g + 50. Let t = 15134 - 15140. Let a(h) = 8*h - 51. What is t*z(m) - 5*a(m)?
2*m - 45
Let p(o) = 3*o**2 + 2. Let u(a) = -a**3 - 3*a + 43. Calculate 2*p(g) - u(g).
g**3 + 6*g**2 + 3*g - 39
Let c = -19651 + 1965... | {
"pile_set_name": "DM Mathematics"
} |
alculate the greatest common divisor of 962 and 52.
26
What is the greatest common divisor of 1936 and 16?
16
Calculate the highest common divisor of 1064 and 56.
56
Calculate the greatest common factor of 5837 and 13.
13
What is the highest common factor of 63 and 142065?
63
Calculate the highest common factor of 2199... | {
"pile_set_name": "DM Mathematics"
} |
4 + 68 = 19*g - 209 for g.
19
Solve 319 = -536*t + 492*t - 297 for t.
-14
Solve 30*z + 53 = -116 - 11 for z.
-6
Solve -1120*s - 243 = -1147*s for s.
9
Solve -9*t + 22*t + 474 - 409 = 0 for t.
-5
Solve 21*m + 29 = 12*m - 20*m for m.
-1
Solve -84*v + 165 - 62 = -65 for v.
2
Solve -164*m + 146*m = -30 - 222 for m.
14
Solv... | {
"pile_set_name": "DM Mathematics"
} |
r b(s).
-4*s*(6*s - 1)
Suppose -2*d - 5 = -5*d + 2*p, 2*d = 3*p. Determine h, given that 2/5*h + 30*h**d + 50*h**4 + 0 + 6*h**2 = 0.
-1/5, 0
Let w be (-1534)/(-1690) - (2 - 7/5). Factor 10/13*y**2 - 14/13*y + 8/13*y**3 - w.
2*(y - 1)*(y + 2)*(4*y + 1)/13
Suppose -3*q + 8*q - 2*g + 2 = 0, 4 = 2*q + 4*g. Solve 0 + 2/7*y*... | {
"pile_set_name": "DM Mathematics"
} |
nator of 10/81 and -82/135?
405
What is the lowest common multiple of 8 and 988?
1976
Calculate the common denominator of -81/8 and 49/8.
8
Calculate the common denominator of -19/48 and 121/72.
144
What is the common denominator of 13/363 and 61/165?
1815
What is the common denominator of -41/12 and -25/36?
36
Find th... | {
"pile_set_name": "DM Mathematics"
} |
. Let c be v(-10). Let w(s) = -2*s + 5 - c. Calculate w(l(x)).
4*x
Let k(q) = -2497*q**2. Let f(m) = 2*m**2. Determine f(k(z)).
12470018*z**4
Let v(y) = -85*y. Let n(l) = 2*l. Determine v(n(t)).
-170*t
Let b be (20/(-25))/((-2)/5). Let c(f) = f - b - 3 + 5. Let d(v) = 6*v**2. What is c(d(g))?
6*g**2
Let l(j) = 5*j**2. ... | {
"pile_set_name": "DM Mathematics"
} |
for q.
32
Solve 0 = -2*c - 538 + 516 for c.
-11
Solve -56*x + 957 = -387 for x.
24
Solve -a + 0*a - 7760 = -7766 for a.
6
Solve -72*i + 178*i = 86*i - 320 for i.
-16
Solve 48*z + 7 = 61*z + 72 for z.
-5
Solve -12224 = 311*n - 4760 for n.
-24
Solve -128 = -7*l - 86*l + 29*l for l.
2
Solve -4680*i + 2002 = -4823*i for i.... | {
"pile_set_name": "DM Mathematics"
} |
3304. What is the units digit of w?
2
Let s(l) = 1349*l + 1. Let z be s(1). Suppose g = q + 2*q - 458, -3*q - z = 3*g. What is the tens digit of g/(-28) - 5/35?
1
What is the ten thousands digit of -2 - (9 + -68)*(375 - 0)?
2
Let r = 3792 + -469. Suppose 3*l - r + 173 = 0. What is the thousands digit of l?
1
Let o = -... | {
"pile_set_name": "DM Mathematics"
} |
nus 347909528596892?
-347909528596892.03
Calculate -4 - 135082952297.
-135082952301
What is -37897765 - -1.677323?
-37897763.322677
What is the distance between -6.9 and -25395702528?
25395702521.1
Add -517001206260 and 67.
-517001206193
What is 2118.1 minus 35.1187?
2082.9813
Work out 0.0381880091 - 0.5412.
-0.5030119... | {
"pile_set_name": "DM Mathematics"
} |
rm k*t + j and give j.
0
Express (-3 - 1 + 6)*(-87*b - 541*b - 10*b)*(b + 1 - 5 + 1) - 32 + 32 - 11*b**2 in the form j*b + i + h*b**2 and give j.
3828
Rearrange -118 + 54*d**2 + 118 + 22*d - 43*d + 20*d - 23*d**4 to y*d**3 + z*d + p*d**4 + j + x*d**2 and give x.
54
Rearrange 163 - 17007*y**2 + 17007*y**2 - 4*y**3 + 3*y... | {
"pile_set_name": "DM Mathematics"
} |
nominator of 53/246 and -29/1479219.
121295958
Calculate the common denominator of -33/310 and 25/34040263.
340402630
Find the common denominator of -97/1150 and 107/224210.
25784150
Calculate the common denominator of 65/26380782 and 115/18.
26380782
What is the smallest common multiple of 3752 and 406852?
381627176
C... | {
"pile_set_name": "DM Mathematics"
} |
x).
-2*x**2 - 2*x
Let i(n) = 12*n**2 - 4. Let r(t) = 3*t**2 - t - 1. Give -2*i(w) + 4*r(w).
-12*w**2 - 4*w + 4
Suppose 2*a - 3 = -11. Let x(t) = t**2 + 97*t - 171*t + 69*t - 2 - 1. Let f(w) = w**2 - 6*w - 3. Calculate a*x(l) + 3*f(l).
-l**2 + 2*l + 3
Let d(c) = -2*c + 4. Let l(q) = -293*q + 287*q + 4*q + 4. Determine 6... | {
"pile_set_name": "DM Mathematics"
} |
7*a
Collect the terms in 2 + 12971287*q**2 + 0 - 12971284*q**2.
3*q**2 + 2
Collect the terms in 47*r - 4 + 11 + 6 - 42*r.
5*r + 13
Collect the terms in -5 + 3 + 1 + 8 + b - 4*b.
-3*b + 7
Collect the terms in -11*x**2 + 1014 - 285 + 2*x**2.
-9*x**2 + 729
Collect the terms in 195 + 47415*m + 193 - 388.
47415*m
Collect th... | {
"pile_set_name": "DM Mathematics"
} |
s - s = -d. What is the units digit of s?
5
Suppose -16*l + 13*l = -759. What is the hundreds digit of l?
2
Let u = 4 + 1. Suppose -3 = -3*z + i - 1, u*z + i - 14 = 0. Suppose -44 = -z*j - 2*j. What is the units digit of j?
1
What is the tens digit of (-990)/(-14) + (-18)/(-63)?
7
Suppose -38 = -2*g + 6. Let r = -5 + g... | {
"pile_set_name": "DM Mathematics"
} |
2 + 291*v**2
Find the second derivative of 19*f*g**4 - 27*f*g**3 - 50*f*g + 83*f wrt g.
228*f*g**2 - 162*f*g
Find the first derivative of -a**2 + 24369*a + 86753.
-2*a + 24369
What is the derivative of 20*d*o**2*p + 2*d*o**2 + 78*d*p**2 - 189*d - 16*o**2*p - 3*o - 1 wrt p?
20*d*o**2 + 156*d*p - 16*o**2
Find the third d... | {
"pile_set_name": "DM Mathematics"
} |
(f(d))?
4*d**4
Let i(m) be the first derivative of -m**3 - 23. Let b(q) = 3*q - 2*q - 2*q. Calculate b(i(g)).
3*g**2
Let b(v) = -11*v. Let p(g) = -28*g**2. Calculate p(b(i)).
-3388*i**2
Let z(v) = -3*v. Let l(s) be the second derivative of 0*s**2 + 1/4*s**4 + 5*s + 0*s**3 + 0. Give z(l(u)).
-9*u**2
Let m(a) = 3*a**2. L... | {
"pile_set_name": "DM Mathematics"
} |
148288 and 126272?
64
What is the highest common divisor of 803909 and 2755?
551
What is the highest common divisor of 4528 and 22224556?
1132
Calculate the highest common factor of 915280 and 23320.
40
What is the highest common factor of 1572442 and 2022?
674
What is the highest common factor of 40915501 and 22044?
1... | {
"pile_set_name": "DM Mathematics"
} |
2*i(f) + 3*r(f). What is the second derivative of w(o) wrt o?
6
Suppose -4*r - n + 2 = -4*n, 6 = 3*n. What is the second derivative of -2*k**r - k**2 + 4*k - 2*k wrt k?
-6
Let o = 6 - 11. Let p = -3 - o. Find the second derivative of -q - 3*q**p - q**2 + 6*q**2 wrt q.
4
What is the third derivative of -3*q**3 + 3*q**3... | {
"pile_set_name": "DM Mathematics"
} |
22. What is the biggest value in 3.4, l, -2/7?
l
Let y be 6/14*196/224. What is the smallest value in 0.5, -3, y, 12?
-3
Let v = -11947 + 106402/9. Let s = v - -125. Let m = -1 + -3. Which is the second smallest value? (a) -0.1 (b) m (c) s
a
Let t = -14 - 9. Let n = 26 + t. Suppose 3*u - n + 15 = 0. Which is the se... | {
"pile_set_name": "DM Mathematics"
} |
- 2*u + 6. Calculate the lowest common multiple of 1*(-2 - -3 - v) and u.
90
Let z = -131435/18 - -7305. Calculate the common denominator of z and 15/26.
234
What is the smallest common multiple of (((-14)/(-4))/((-3)/6))/(-1) and 10?
70
Let w = -1992 + 65663/33. Calculate the common denominator of w and -4/15.
165
Le... | {
"pile_set_name": "DM Mathematics"
} |
ppose -h + b = -50. What are the prime factors of h?
2, 29
List the prime factors of 98108460/1850*(-15)/(-9).
2, 3, 14731
Let m(d) = d**2 - 26*d + 10. Let a(z) = -5*z + 2. Let v(i) = 11*a(i) - 2*m(i). Let t be v(-5). Let j = t - -70. List the prime factors of j.
37
Suppose c + 3*b - 11772 - 16178 = 0, 139834 = 5*c + 3... | {
"pile_set_name": "DM Mathematics"
} |
2*z**3 - 2*z**2 + 9*z - 39. Give 3*m(a) + 5*y(a).
-a**3 + 4*a**2 + 2*a - 22
Let n(c) be the second derivative of -3*c**5/4 + 17*c**4/12 + 5*c**3/2 - 2*c**2 + 1197*c + 2. Let q(r) = -7*r**3 + 8*r**2 + 7*r - 2. What is -6*n(y) + 13*q(y)?
-y**3 + 2*y**2 + y - 2
Let x(q) = 4*q**2 + 4*q + 6. Let v(h) = 8*h**2 + 9*h + 13. Su... | {
"pile_set_name": "DM Mathematics"
} |
+ 0)*(-3*c + 2*c + 3*c) - 2*c + 10*c + 2*c) + 7*c - c + 0*c.
24*c
Expand -1938723*s**2 + 7*s**3 - 49 + 1938723*s**2 + (5*s - 3*s - s)*(-2*s + 2*s + 2*s**2).
9*s**3 - 49
Expand (3 + 5 + 13)*(-5*k + 9*k + 10*k).
294*k
Expand (-3 + 3 - q)*(78 + 38 + 33) + 4 + 2*q - 4.
-147*q
Expand (-4*d + 2*d**2 + 4*d)*(-d - d + 4*d) + ... | {
"pile_set_name": "DM Mathematics"
} |
g + 8 = 3. Let m = -476 + 473. What is the closest to g in 5, m, 2?
m
Let l = -0.487 + 0.52. Let t = l + -0.133. Let f(k) = k**3 + 8*k**2 + 7*k + 1. Let z be f(-7). What is the nearest to t in z, 0.1, 3?
0.1
Suppose -4*u = -u. Suppose 3*o + 11 - 26 = u. What is the closest to o in 4/3, -0.5, 4?
4
Let j be 0 - ((-2)/7 +... | {
"pile_set_name": "DM Mathematics"
} |
aces?
-11.83
What is 43914184.6 rounded to the nearest 1000?
43914000
Round 0.0903850587 to five dps.
0.09039
What is -26278.70631 rounded to the nearest one thousand?
-26000
Round 26505904 to the nearest one hundred thousand.
26500000
What is -6448.035896 rounded to 1 decimal place?
-6448
What is 0.0010123808 rounded ... | {
"pile_set_name": "DM Mathematics"
} |
ase 5) to base 11
-175292
Convert 2695a52 (base 11) to base 12.
1682567
What is -2c5d57 (base 16) in base 6?
-142152315
Convert 252402 (base 9) to base 5.
14341222
Convert -201251 (base 9) to base 14.
-31547
1000b66 (base 12) to base 16
2d967e
Convert -4341313403 (base 5) to base 16.
-8e41e2
11010111001011101010 (base ... | {
"pile_set_name": "DM Mathematics"
} |
> 1?
False
Is 660 != 682?
True
Is 4 < -3?
False
Is -1 greater than -14?
True
Is 564 at most as big as -2?
False
Which is smaller: -1 or -8/187?
-1
Is 124 >= 616/5?
True
Is -2 less than 12245?
True
Which is smaller: -1 or 4/14457?
-1
Which is smaller: 223 or -7?
-7
Are -1/9 and 667 equal?
False
Which is greater: -0.078 ... | {
"pile_set_name": "DM Mathematics"
} |
-2). Let c = 613 + v. Find the common denominator of 1/9 and c.
72
Suppose -3*z = 4*z - 280. Suppose -3*c - c - z = -2*j, 3*c = -5*j + 74. What is the lowest common multiple of 48 and (-12)/j + (-54)/(-8)?
48
Let l = -1096267/30 + 36547. Find the common denominator of 173/42 and l.
210
What is the lowest common multipl... | {
"pile_set_name": "DM Mathematics"
} |
t v = 64143 + -64115. Suppose w + 1 = z, w + 4*z - 7 = 4*w. Are v and w equal?
False
Let f be (26/(-3))/1*5457/214. Let s = f - -203. Which is bigger: s or -19?
s
Let b(k) = 5*k - 28. Let r be b(6). Suppose 3 = -t + r. Let z be 180/640*4/(-6). Which is smaller: z or t?
t
Suppose 4*k - 202*i + 8 = -204*i, 3*k + 3*i + 12... | {
"pile_set_name": "DM Mathematics"
} |
4/4 - 144594696*x**3 + 1662084683658*x**2 + 480442812960*x + 1585620300 = 0 for x.
-2/7, -2/599, 22990
Factor -4*i**4 + 3210768*i**3 - 644317657624*i**2 + 1288625682960*i - 644311236100.
-4*(i - 401345)**2*(i - 1)**2
Suppose -5*p**4 + 83505*p**3 - 347523580*p**2 - 9454498320*p + 43373027520 = 0. Calculate p.
-31, 4, 83... | {
"pile_set_name": "DM Mathematics"
} |
3*w**2 + 0*w**2 + 2*w**2)*(-3 + 3 + 2*w**2) - 2*w**4 + 0*w**4 + 3*w**4.
-199*w**4
Expand (-14*b**3 + 0*b**3 + 21*b**3)*(-20 + 8 - 12) + 1 - 2*b**3 - 1.
-170*b**3
Expand (t**2 - t**2 - 2*t**2)*(2 - 3 - 1)*(3 - 3 - 2)*(2 - 2 + 5*t).
-40*t**3
Expand (2 - 3*i + i + i)*(-i + 2 - 2 + 157 - 13*i - 157 + 2*i + 0*i + 0*i - 2*i ... | {
"pile_set_name": "DM Mathematics"
} |
b(x) = 2*x**3. Determine 4*b(c) + 7*s(c).
c**3
Let s(w) = -13*w**2 - 27*w + 17. Let d(k) = -6*k**2 - 13*k + 9. Let x(u) = -5*d(u) + 2*s(u). Let z(p) = -p**2 - 2*p + 2. What is 2*x(l) + 11*z(l)?
-3*l**2
Let y(a) = 8*a - 6. Let k(n) = -n**3 - 6*n**2 - 7*n - 5. Let q be k(-5). Let u(r) = 7*r - 5. Suppose -3*i = 8 + 10. De... | {
"pile_set_name": "DM Mathematics"
} |
-21*x + 13. Let t(u) = 3*g(u) + 8*p(u). Is t(13) composite?
False
Suppose 4*p = -0*p + 32. Let f(l) = 3*l**2 + 8*l - 3. Is f(p) composite?
True
Let g = 59 - 29. Let j = 114 + -47. Let b = j - g. Is b a composite number?
False
Suppose h + 1 + 4 = 0. Let f(q) = -2*q**3 - 9*q**2 - 6*q + 1. Let t(v) = 3*v**3 + 13*v**2 + 9... | {
"pile_set_name": "DM Mathematics"
} |
/20*-12.
14
What is (-4040)/202 - (-25 - -2)?
3
Calculate (1/7)/(76 - (-21440)/(-280)).
-1/4
What is the value of ((144/128)/((-3)/4))/(1/6)?
-9
Evaluate ((-4)/(8/15) + 230 + -222)*-22.
-11
Calculate (-322)/(-1064) - 2/8.
1/19
What is (209/(-33) - -10)/(12/36)?
11
What is (2 - 2)*401/(-802)?
0
What is 4/9*(-14526)/(-10... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 4*a - 7. Let r be (1134/2457)/((-2)/(-13)). Let h(t) = 10*t**2 + 3*t - 6. Calculate r*q(n) - 4*h(n).
-7*n**2 + 3
Let y(f) = -3*f**2 + f - 40. Let s(d) = 17*d**2 + 382*d - 208. Let m be s(-23). Let a(x) = -x**2 + x + 1. What is m*a(o) + y(o)?
-2*o**2 - 41
Suppose 11*t = 16*t + 10. Let v be (-30)/(10/t) - -2. Let x(... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 903*t. Let c(z) = -3*z**2 - 3*z. What is -301*c(v) - n(v)?
-7826*v**2
Let q(z) = -14*z**2 + 18*z - 6. Let t(g) = 14*g**2 - 12*g - 56. Let b(d) = -13*d**2 + 12*d + 44. Let r(j) = -5*b(j) - 4*t(j). Give -5*q(h) - 8*r(h).
-2*h**2 + 6*h - 2
Let d(f) = 83*f**2 - 9*f - 9. Let l(x) = 2*x**2 - 5. Let p(o) = -49*o**2 + 4*o... | {
"pile_set_name": "DM Mathematics"
} |
9197*s
Differentiate 98557467*z + 36250090 wrt z.
98557467
Find the third derivative of 248*a**5 + 1932*a**4 + 4*a**3 - 351*a**2 - 372993*a wrt a.
14880*a**2 + 46368*a + 24
Find the second derivative of 8*t**4 - 62726*t**3 - 2*t**2 - 283*t - 1843.
96*t**2 - 376356*t - 4
Find the third derivative of -151116987*q**5 + 16... | {
"pile_set_name": "DM Mathematics"
} |
f q?
True
Let g(o) = o + 5. Let h be g(0). Let j = 35 - h. Is 30 a factor of j?
True
Let r(z) = z**2 - 9*z + 2. Let m be r(9). Suppose 2*c + m*c - 3*l = 91, 0 = -2*c + 2*l + 44. Is (1/1)/(5/c) a multiple of 5?
True
Let f(m) = 146*m**3 - m**2 - m + 1. Is 21 a factor of f(1)?
False
Let p(s) = 13*s**3 - s**2 + s - 2. Is p... | {
"pile_set_name": "DM Mathematics"
} |
w = 445/4 + -111. Which is smaller: 24 or w?
w
Suppose 3*y + 0*f = -f + 6, -y + f + 2 = 0. Suppose -2*n + 48 = y*n. Suppose 3*b + 4*r = -n, -3*b - r - r - 6 = 0. Is 2/9 < b?
False
Let w = 0.09 - 0.18. Is w != -0.2?
True
Let v be 10/(-14) - (-2)/(-7). Let u = v + 2. Suppose u = -r - 0. Do r and -1/2 have the same value?... | {
"pile_set_name": "DM Mathematics"
} |
remainder when s is divided by 5.
1
Let i = -4567 - -4629. Calculate the remainder when i is divided by 28.
6
Suppose -364 = -5*y + 5*g - 104, -3*y + 2*g = -152. What is the remainder when 193 is divided by y?
1
Let i(b) = 33*b - 2. Let p be -8 - -8 - -1*1. Calculate the remainder when 180 is divided by i(p).
25
Suppos... | {
"pile_set_name": "DM Mathematics"
} |
- 14)*(1 - 32*r + 30*r - 5).
38*r**4 + 84*r**3
Expand (-42*s**2 - 712*s + 712*s)*(-2*s**3 - 3 + 3).
84*s**5
Expand (-c**2 + 4*c**2 - c**2)*(c + 0 + 0) + 2090896*c - 1283*c**3 - 2090896*c.
-1281*c**3
Expand 13*y - 15*y**5 - 13*y + (6*y**4 - y**4 - 4*y**4)*(2*y - 2*y + y).
-14*y**5
Expand (4 + 0 - 2)*(62*q**3 - 132*q**3... | {
"pile_set_name": "DM Mathematics"
} |
-301727/2
Calculate 67 divided by 245.
67/245
-4565504 divided by 2368
-1928
What is -3933 divided by 3933?
-1
Divide 456 by -245.
-456/245
What is -26838 divided by -13419?
2
Calculate 1047090 divided by -31730.
-33
238 divided by -238
-1
What is 3042 divided by 32?
1521/16
What is -34 divided by 2443?
-34/2443
Divid... | {
"pile_set_name": "DM Mathematics"
} |
lue of (3 - -3) + 7 + 4 - (-1 + 17)?
1
What is 4 + (14 - 8) - (45 - 17 - -21)?
-39
What is 52 + 3 + -100 + 28?
-17
Calculate (24 - (10 - (-17 - -10 - -5))) + 4 - 3.
13
Calculate (-1 - (0 - 19)) + (175 - 306) - -19.
-94
What is -40 - (-27 + 258 + -160)?
-111
Evaluate -1293 + 1251 + -2 + 126.
82
What is the value of (16 ... | {
"pile_set_name": "DM Mathematics"
} |
d to the form f*d**3 + i + p*d + k*d**2 and give p.
2
Rearrange (2 - 3 + 2)*(2452*q + 32*q**3 - 2451*q + 34*q**3) to a*q**2 + v + b*q + x*q**3 and give x.
66
Rearrange 38 - 3*m**2 - 68*m**3 - 6*m**4 + 7*m**4 + 68*m**3 - m to w*m + y + g*m**4 + l*m**3 + x*m**2 and give x.
-3
Express 40 - 220 - 3553*p**2 + 3548*p**2 - p ... | {
"pile_set_name": "DM Mathematics"
} |
to 1? (a) -291.1 (b) -1 (c) 0
c
Which is the closest to -1? (a) -8 (b) 5 (c) -17
b
What is the nearest to 37 in 2/11, 0.03, -3/5?
2/11
Which is the nearest to -6/7? (a) -0.1 (b) 0.1 (c) 0 (d) 12
a
What is the closest to -0.1 in 15, 3, 2/7, 4?
2/7
What is the nearest to -0.1 in -3/5, -3, -2?
-3/5
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
6/(-48))/((-12)/(1440/6)*10/(-404))?
-101
Calculate (3/44)/(5751/(-71568))*(-3)/2.
14/11
What is the value of (14528/5448)/(8/(-177))?
-59
What is the value of (-2*1)/((-6)/80*(-976)/183)?
-5
What is (13090/(-10780))/((-1)/56)?
68
Calculate (-8)/(-54)*3*-9*41/(-984)*29.
29/6
Evaluate ((-24389)/174)/(-29)*(54/45)/(4/(-5... | {
"pile_set_name": "DM Mathematics"
} |
, -56317305?
-260728*z**3 + 2*z - 69
What is the y'th term of -24877, -24793, -24643, -24421, -24121, -23737?
y**3 + 27*y**2 - 4*y - 24901
What is the v'th term of 9158934, 18317869, 27476810, 36635757?
3*v**2 + 9158926*v + 5
What is the z'th term of 25067, 40871, 56675?
15804*z + 9263
What is the b'th term of 676, 146... | {
"pile_set_name": "DM Mathematics"
} |
implify -6*sqrt(18)/sqrt(36).
-3*sqrt(2)
Simplify sqrt(76)/(sqrt(4) + sqrt(4) + sqrt(12)/sqrt(3)) - sqrt(2299)*2.
-65*sqrt(19)/3
Simplify sqrt(35)/(3*sqrt(5)*6).
sqrt(7)/18
Simplify (sqrt(88)/sqrt(72))/(sqrt(432)/sqrt(12)).
sqrt(11)/18
Simplify (1*-2*sqrt(187) + sqrt(187))/(sqrt(44)/sqrt(4)*-3).
sqrt(17)/3
Simplify (3*... | {
"pile_set_name": "DM Mathematics"
} |
3, -15937, -15943?
-15951
What comes next: 617, 518, 419, 320, 221, 122?
23
What comes next: 193676, 193682, 193688, 193694, 193700, 193706?
193712
What comes next: 1908, 1924, 1966, 2046, 2176, 2368?
2634
What comes next: -1302, -2504, -3706, -4908, -6110, -7312?
-8514
What is the next term in 254, 517, 790, 1073, 136... | {
"pile_set_name": "DM Mathematics"
} |
82. What is the highest common factor of y and 352?
32
Suppose -25200 = -39*w - 17*w. Calculate the highest common factor of 558 and w.
18
Suppose -11*o = -14*o + 2*w + 22, 0 = 3*w + 6. Suppose 108 = -o*k + 780. Calculate the highest common divisor of 7 and k.
7
Suppose -a + 5 - 2 = 0, -o + 162 = 5*a. Let h = o - 92. W... | {
"pile_set_name": "DM Mathematics"
} |
)/6. Let w be (5 + 1 + d)/((-10)/(-5825)). Suppose s = -9*s + w. Is s a composite number?
False
Let q = -94872 + 298403. Is q prime?
True
Is (325044/(-144))/((-1)/4) a prime number?
True
Suppose -126*h + 1770939 + 1659307 + 1652972 = 0. Is h a prime number?
True
Let p(y) = y**3 - 18*y**2 + 18*y - 19. Let r be p(17). Is... | {
"pile_set_name": "DM Mathematics"
} |
2*x + 2*c*t*x - 357*c + 2*t**2 + 3*x wrt c?
21420*c - 16*t**2*x
Find the third derivative of 331083*h**6 + 274523*h**2 - 1 wrt h.
39729960*h**3
Find the first derivative of -387*h*j*k**2 + h*j + 158*j*k + 24*k**2 wrt h.
-387*j*k**2 + j
Find the second derivative of 6*x**3 + 4434*x**2 - 21*x - 40114.
36*x + 8868
What is... | {
"pile_set_name": "DM Mathematics"
} |
*(0*f + f + f) + (f + 5*f - 3*f)*(3*f**3 + f**3 - 5*f**3).
-15*f**4
Expand (-16 + 11 + 10)*(0*y**3 + 0*y**3 - y**4).
-5*y**4
Expand (-v**3 + 4*v**3 - v**3)*(-1 + 4 - 1) + ((3*v - 2*v - 2*v)*(0*v + 3*v - 6*v) - v**2 + 2*v**2 + v**2)*(-v + 2 - 2).
-v**3
Expand 11*y**5 + y**5 + 47*y**5 - y**5 - y**5 + 3*y**5 - 3*y**5 + 2*... | {
"pile_set_name": "DM Mathematics"
} |
786
What is three sevenths of a week in days?
3
What is seven quarters of a meter in centimeters?
175
What is 59/4 of a millimeter in micrometers?
14750
What is 0.7308732ug in kilograms?
0.0000000007308732
How many nanograms are there in three fifths of a microgram?
600
How many grams are there in 1/10 of a tonne?
1000... | {
"pile_set_name": "DM Mathematics"
} |
m + -1712.12. Let k = h + -67. Round k to 1 dp.
-1.1
Let m = 16004 + -8766. Let t = m + -7202.39. Let h = 33.7 - t. Round h to 1 decimal place.
-1.9
Let b = -1154525.1859793 - -1154525. Let n = -0.186 - b. Round n to 6 dps.
-0.000021
Let n = 46.9 + -51. Let t = -0.9 + n. Let h = t - -5.00000016. Round h to 7 dps.
0.00... | {
"pile_set_name": "DM Mathematics"
} |
by 7?
5
Suppose 0*r + 150 = 3*r. Let u = 561 - 544. Calculate the remainder when r is divided by u.
16
Let c = 28 - 27. Calculate the remainder when 98 is divided by (0 - -32) + (1 + c)/2.
32
Let u be (2/(-6))/((-2)/(-114)). Suppose -5*x - 238 = -613. Let v = u + x. What is the remainder when v is divided by 19?
18
Let... | {
"pile_set_name": "DM Mathematics"
} |
-368*a*q*v + 78*a*q
Find the first derivative of -323972*w - 498991 wrt w.
-323972
What is the second derivative of 52190*b**2 - 48838*b?
104380
What is the first derivative of -2*j*k*l*v**3 - 274930*j*l*v**3 + k*l*v**3 + k + 46443*v**3 wrt j?
-2*k*l*v**3 - 274930*l*v**3
Differentiate -7*c**2*m - 5*c**2 + 15*c*m**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
value in -1/7, -2, y?
y
Let v = -0.93 + -101.07. Let n = -104 - v. Let i be (-8)/(-20) + (-54)/160. What is the third smallest value in 2/17, n, i, -1/2?
i
Let z = -0.9 - 3.1. Let y = 181 - 189. Which is the smallest value? (a) z (b) 0.3 (c) y
c
Suppose -45*f - 40629 = -40764. What is the fourth biggest value in -4... | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from vgegb. What is prob of sequence gv?
1/10
Calculate prob of sequence sjr when three letters picked without replacement from krggjgsjsgkl.
1/330
What is prob of sequence gpgv when four letters picked without replacement from {z: 1, w: 1, p: 2, g: 10, v: 2}?
3/364
Four letters picked without replacem... | {
"pile_set_name": "DM Mathematics"
} |
1 - 12 - 17)).
-25
What is 0 + -2 + 2 + -1 - (-48 - -50)?
-3
What is the value of (7 - 3) + -2 + 20?
22
Evaluate 20 - ((18 - 35) + 3 - 3).
37
Calculate 13 + ((19 - 24) + -13 - 35).
-40
What is -11 + -27 + 36 + (-1 - -10)?
7
Calculate 24 - ((-1 + (8 - 1) - 4) + -12).
34
What is (6 - 13) + (26 - 12)?
7
What is the value ... | {
"pile_set_name": "DM Mathematics"
} |
6*t(u) - 11*w(u).
22*u**3 - 5*u
Let n(x) = -3*x + 1. Let v(d) = -2*d + 4. What is -3*n(q) + v(q)?
7*q + 1
Let w(z) = -z - 3. Let y(f) = 6 + 4*f - 4 + 11. Suppose 2*g = 3*s - 9, -4*g + 2*s - 22 = -0*g. What is g*y(u) - 26*w(u)?
2*u
Let q(s) = 3*s**3 + s**2 - 2*s + 2. Let z(c) = -c**3 - c**2 + c - 1. Suppose 24*v - 23 = ... | {
"pile_set_name": "DM Mathematics"
} |
. Let b(g) = 15*a(g) - 2*d(g). Determine t(b(r)).
128316*r**2
Suppose 16 - 10 = -3*h. Let d(m) = m**2 - 11*m - 20. Let j be d(h). Let k(v) = j*v - 2*v - v - 6*v. Let p(o) = -41*o**2. Give p(k(c)).
-369*c**2
Let k(o) = 0*o**2 + 2*o**2 - o**2. Let u(r) be the second derivative of 2/3*r**3 + 0*r**2 + 0 - 100*r. Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
e (3/(-11))/(1181/(-33068) + 4300/1232).
-3/38
Evaluate 28/35*-1 + ((-493)/(-85) - 2).
3
What is (-10 + 14)*-23 - (-387 + 379)?
-84
Evaluate (34 + 16 - 23) + -69.
-42
Calculate 1273/(-41) + 80/2870*(-147)/(-84).
-31
Evaluate (-8686)/215 - (-1168)/(-730).
-42
What is (-593)/((-68788)/6960)*(-45)/(-20)?
135
-9*((-5)/9)/(... | {
"pile_set_name": "DM Mathematics"
} |
-48)/(-90))/(((-10)/(-3))/(-5))?
-4/5
((-1)/(-3))/(4/24)
2
Calculate (13/65)/((-4)/5).
-1/4
What is the value of 234/26*(-2)/(-3)?
6
(140/112)/(10*2/4)
1/4
Evaluate 2*6/105*10/4.
2/7
(-15)/((-24)/(-32)*4)
-5
(3/15)/((-21)/70)
-2/3
What is the value of (-9)/12*400/375?
-4/5
What is the value of 6/4*16/(-84)?
-2/7
What i... | {
"pile_set_name": "DM Mathematics"
} |
-170)/17?
-48
Calculate -669*4/(-96) - 42/48.
27
What is the value of (-60)/5 + 41583/(-501)?
-95
What is ((-2)/(-40) - 1148002/21640)*-1?
53
What is the value of (-19*80/11400)/(1*(3 + -1))?
-1/15
((21/(-77))/(-3))/(((-14421)/(-3864))/(-209))
-56/11
What is ((-366)/(-427))/((-30)/350)?
-10
(-18)/(-15)*((-17066)/(-1311... | {
"pile_set_name": "DM Mathematics"
} |
3 - (1 + 3)
5
What is the value of 3 + (7 + -11 - -6)?
5
What is (-1 - 0) + (8 - 12)?
-5
Evaluate -4 + (-2 - -3) + 5 + 1.
3
Evaluate (-11 - -17 - (1 - -1)) + 1.
5
What is 0 - 6 - (-48 + 46)?
-4
Calculate 6 - (11 - 2) - 1.
-4
What is 3 + 3 + -1 + -1 + -3?
1
Calculate (-3 - (-12 + 4)) + (9 - 9).
5
0 - 4 - -3 - 1
-2
Calcu... | {
"pile_set_name": "DM Mathematics"
} |
0*(-440)/(-550)?
-122
What is the value of (((272/(-192))/(-1))/(1/(-4)))/((-8)/72)?
51
Calculate 6*36/(-108)*4485/(-78).
115
Calculate (92/161)/((-170)/(-119))*-225.
-90
(171/(-1))/(-9)*((-308)/42)/(-11)*-3
-38
What is ((-6)/(-15))/((-140)/(-700)*(-2)/(-1))?
1
Calculate 9/(-6)*((-12)/(-7))/(396/(-3080)).
20
What is th... | {
"pile_set_name": "DM Mathematics"
} |
001?
-0.39914
-1787521*1.4
-2502529.4
541584955 times 0.5
270792477.5
-235 times -0.490719
115.318965
Calculate -0.4*-22730048.
9092019.2
Multiply -1.18766 and 8.
-9.50128
Work out 0.06483853 * -0.04.
-0.0025935412
Multiply -8934 and -2352.4.
21016341.6
Product of 1952665 and -2.
-3905330
1 times 21834110
21834110
What... | {
"pile_set_name": "DM Mathematics"
} |
f = 3, 9*l + 14*l - 19*l + f = -5 for l.
-2
Solve 0 = 2*l + 10, -2*z = 10*l - 5*l + 27 for z.
-1
Solve 0 = -3*g + 2*h - 8, -16*g = -15*g - 3*h + 12 for g.
0
Solve -5*s - 512*o = -515*o - 14, 5*o + 20 = 5*s for s.
1
Solve 0 = f - 5*g - 11, 44*g + 21 = -3*f + 41*g for f.
-4
Solve 4*h + 3 = -3*p, -p = h - 4*h + 14 for h.... | {
"pile_set_name": "DM Mathematics"
} |
s 5709/(-173) + 0 + 40?
7
-11 + -25 + 7 + 23
-6
What is the value of (43/((-774)/(-36)))/(-5)?
-2/5
What is the value of (-1*1 - (-2652)/2040)/((-99)/6)?
-1/55
(-14)/((-9828)/387) - 2/(-9)*-3
-3/26
What is (-2 - (-180)/85) + (-1)/((-1683)/261)?
3/11
(-1*(-100)/(-80))/(-5)
1/4
What is (-14)/((-1078)/781) - 4/(-1 - -29)?... | {
"pile_set_name": "DM Mathematics"
} |
95 + -110. What is the remainder when 375 is divided by k?
5
Let n = 11 + -16. Suppose 2*f = -10, 2*o = -o + f + 311. Calculate the remainder when o is divided by (-1 - 8/n) + 254/10.
24
Suppose 4*p + 0*p + 20 = 0. Let a = 159 + -124. What is the remainder when a is divided by (p/10)/((-1)/18)?
8
Let j = -7 + 11. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
+ 1464*a + 0*a**4 - 1503*a + 2*a**3 - 2*a**2 - 3*a**4 + a**4 to t + n*a**3 + o*a**4 + g*a + w*a**2 and give g.
-39
Rearrange (-338 + 338 - 46*n)*(-8*n + 8*n + n**2)*(3 - 3 + n) to the form g*n**2 + w*n + q*n**4 + s*n**3 + d and give q.
-46
Rearrange (-1 - 2 + 7)*(2 - 2 - 6*h + (2 + 0 - 5)*(h + 2 - 2)) to the form c*h ... | {
"pile_set_name": "DM Mathematics"
} |
- 59) + (16 - 1)).
-36
9 - ((-1 - 0) + -144 + 150 - 6)
10
Calculate 74 - 82 - (-35 - (8 - 11)).
24
Evaluate 0 + 17 + (10 + -3 - -4) + (-4 - 16).
8
Calculate -124 + 122 + 13 + -44.
-33
What is 92 + -30 + (3 - (-7 + 12 + -16))?
76
What is -63 + 22 + -50 + 5 - -29?
-57
What is the value of 38 - 32 - (1 + -7) - (3 + -2) - ... | {
"pile_set_name": "DM Mathematics"
} |
3113?
30034
In base 11, what is 15a1a4 - 154?
15a050
In base 3, what is 211 + -102221212120010?
-102221212112022
In base 5, what is -2 - -310243432?
310243430
In base 16, what is f13 - 37d0?
-28bd
In base 3, what is -102200010110 + 1210212?
-102121022121
In base 14, what is -8b + 243032?
242d85
In base 11, what is 2 -... | {
"pile_set_name": "DM Mathematics"
} |
90*y - 591851 - 422519 = 72320 for y.
111
Solve 12*w + 13151 = -16*w + 11863 for w.
-46
Solve -29455*p = -28838*p + 30850 for p.
-50
Solve 86441*k - 9432 = 86369*k for k.
131
Solve -1682521 = 15853*z - 176486 for z.
-95
Solve 19383 = 1177*u - 13634 - 7406 - 772 for u.
35
Solve 1434*q + 141888 = -1522*q for q.
-48
Solve... | {
"pile_set_name": "DM Mathematics"
} |
9 + 8*t**3/3 - 137*t**2/9 - 2*t/3 = 0. Calculate t.
-3, -1/23, 0, 2
Factor -10*g**2 - 325*g - 1260.
-5*(g + 28)*(2*g + 9)
Solve r**3/5 - 552*r**2/5 + 2196*r/5 - 2192/5 = 0 for r.
2, 548
Factor 3*k**3 + 195*k**2 + 3201*k + 15609.
3*(k + 11)**2*(k + 43)
Let 2*k**3/3 - 178*k**2/3 + 520*k/3 - 344/3 = 0. Calculate k.
1, 2, ... | {
"pile_set_name": "DM Mathematics"
} |
g*g)/(g*g**0/g)) assuming g is positive.
g**(-11777/156)
Simplify ((t/(t/t**(-2/9))*t)/t)**27/(t**(-1/2)/t)**7*((t**(-9)/t)/(t*t**(-3/7)*t))**(2/23) assuming t is positive.
t**(1125/322)
Simplify ((u**1)**(-24)/(u**0/u*u)**(-19))/((u**(-2/5))**(-1/2)/((u/(u/(u*u**(-2/3)*u)))/(u*(u*u*u**(-3/2))/u))) assuming u is positi... | {
"pile_set_name": "DM Mathematics"
} |
is the sixth root of 59570 to the nearest integer?
6
What is 2271 to the power of 1/8, to the nearest integer?
3
What is 3483 to the power of 1/3, to the nearest integer?
15
What is 46156 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 3189 to the nearest integer?
2
What is 1949 to the power o... | {
"pile_set_name": "DM Mathematics"
} |
(s) = 4 + 3*s**2 - 1 + s**3 + 0*s**2 - 4. Calculate q(d).
3
Let y(s) = s**2 - 4. Suppose -5*r + 2*r - 18 = 0. Let d be (-1 + 1)/(r/3). Give y(d).
-4
Let o(x) = -x**2 - x - 1. Let k(u) = -6*u - 3. Let n(h) = k(h) - o(h). Let q(p) = -9*p + 121. Let g be q(13). What is n(g)?
-6
Let v be (6/(-9)*(-18 - 0))/2. Let p(g) = -2... | {
"pile_set_name": "DM Mathematics"
} |
be h(-6). Let k = -1 + v. What is the units digit of k?
5
Suppose 0*f + 10*f - 400 = 0. What is the units digit of f?
0
Suppose 70*z + 755 = 75*z. What is the tens digit of z?
5
Suppose 10 - 2 = 4*z. What is the units digit of z + 5/((-10)/(-16))?
0
Let h(p) = p**3 + 8*p**2 + 5*p + 3. Let y(d) = d - 3. Let l be y(-3). ... | {
"pile_set_name": "DM Mathematics"
} |
: k or j?
j
Let o be (-500)/1625 - (-23318)/75868. Is o at most as big as 1?
True
Suppose 54810 = 5*a - 5*h, -h - 174 = -166. Is 10954 > a?
False
Let s be 438/30 - 15 - (7907/(-5) - -1). Do 2/23 and s have the same value?
False
Let d = 9484 - 9454. Is 1 smaller than d?
True
Let j be (12/(-45))/((-6)/9)*-35. Let k(h) = ... | {
"pile_set_name": "DM Mathematics"
} |
s**2/2 - 81*s - 351/4 = 0. Calculate s.
-3, -1, 3, 13
Let 2*t**2 - 22*t + 36 = 0. What is t?
2, 9
What is l in -l**5/4 + 13*l**4/4 + 5*l**3/4 - 333*l**2/4 - 81*l = 0?
-4, -1, 0, 9
Factor -h**2/5 + 778*h/5 - 151321/5.
-(h - 389)**2/5
Let 5*h**4 - 215*h**2 - 210*h = 0. What is h?
-6, -1, 0, 7
Factor -k**2 + 3*k - 2.
-(k ... | {
"pile_set_name": "DM Mathematics"
} |
is 9 + -14 + 33 - 57?
-29
0 + -38 - (-18 + 19) - -14
-25
Evaluate -5 - (-32 - (5 - (-7 + 13) - 2)).
24
What is the value of -4 + 2 - (11 - 4) - -16?
7
21 + -3 + -10 + (-21 - -6)
-7
66 + 109 + -180 + (-3 - -1) + 13
6
-17 - (-21 + -3 + 6 + 10 - -15)
-24
3 + (-20 - -5) + 21
9
8 + 0 + -7 + 10 + -24
-13
Calculate 23 + -30 ... | {
"pile_set_name": "DM Mathematics"
} |
11*h + 29 + 3*h**2. Let c be n(14). What is the third smallest value in 0.5, 2, c?
2
Let u(b) be the second derivative of -b**4/12 - 4*b**3/3 - 3*b**2 - 4*b. Let o be u(-8). Let d = 10 + -9.5. What is the third smallest value in o, -0.1, d?
d
Let f = -0.3 - -0.2. Let u = 0.2 + f. Let y be (2160/32 - 12)/(-1 - 8) - -6.... | {
"pile_set_name": "DM Mathematics"
} |
t b be 32/(-12)*9/4. Sort -0.3, b, -3/8 in decreasing order.
-0.3, -3/8, b
Let q = 3 + 0. Let l(u) = -3*u - 68. Let s be l(-23). Sort s, q, 4.
s, q, 4
Let s be (2/4)/((-15)/18). Sort -1.6, s, -2/23, -0.3 in ascending order.
-1.6, s, -0.3, -2/23
Let w be 3/(-2) + 1/(-2). Let v be 0 + 1 + (w - -3). Let m be 6/(-15) - 8/(... | {
"pile_set_name": "DM Mathematics"
} |
, -50604?
-72868
What is the next term in -340, -343, -346?
-349
What is the next term in 19, 25, 41, 67, 103?
149
What is the next term in -234, -231, -226, -219, -210?
-199
What comes next: 171, 339, 507, 675?
843
What is next in -106, -409, -910, -1609, -2506, -3601?
-4894
What is next in -1871, -3744, -5617, -7490,... | {
"pile_set_name": "DM Mathematics"
} |
-r + 1 = -5*t - 2, 3*r = -m*t - 9 for t.
-1
Let l be ((-2)/(-3))/((-4 - -8)/(-12)). Let w be 5 + 4/(l - 2). Solve m + 2*v = -w*m + 21, -12 = -m - 3*v for m.
3
Suppose 4*v + 48 = -264. Let t be v/(-4)*14/21. Solve -5*g = -g + l - t, 2*g - 8 = -2*l for g.
3
Let z(n) = -2*n + 12. Let d be z(-8). Suppose 4*o = 2*a + d, 0*o... | {
"pile_set_name": "DM Mathematics"
} |
- 2*i. Solve -10 = 5*z, -f = -q - z - i for q.
4
Suppose -5*d = 2*v + 17, 5*v - 2*d = 16 + 14. Solve 4*u + v = 0, -5*s + 0*u = 3*u + 23 for s.
-4
Let c(f) = 2*f**2 + 28*f - 100. Let n be c(-17). Suppose i = 2*o - 6, -i + o - 5*o + 18 = 0. Suppose i*l = 7*l. Solve -4*u + 8 = k, l*u + 5*k = n*u + 18 for u.
1
Let t = 142 ... | {
"pile_set_name": "DM Mathematics"
} |
dudud.
3/10
Calculate prob of sequence dj when two letters picked without replacement from {f: 1, l: 5, j: 5, d: 7}.
35/306
Three letters picked without replacement from ffg. What is prob of sequence ffg?
1/3
Calculate prob of sequence vhj when three letters picked without replacement from hvvxj.
1/30
Calculate prob o... | {
"pile_set_name": "DM Mathematics"
} |
(p). Let c(l) = -l**2. Give i(c(r)).
-3*r**2
Let s(j) be the third derivative of -37*j**5/60 - j**2 - 27*j. Let n(m) = -6*m. Calculate n(s(t)).
222*t**2
Let l(g) = 29*g**2. Let c(h) = h**2. Let r(b) = 4*b**2. Let a(n) = -2*n + 24. Let z be a(11). Let v(x) = z*c(x) - r(x). Determine l(v(d)).
116*d**4
Let n(c) = 12*c. Le... | {
"pile_set_name": "DM Mathematics"
} |
3*l = -3*o - 399. Let g = -829/6 - o. Let h = g - -1. Is 0 at least as big as h?
True
Let m = 1.28 + -1.4. Let f = m - -0.02. Which is smaller: f or 0.1?
f
Let j(z) = z**2 - 17*z + 61. Let h be j(4). Let u(p) = p**2 - p - 4. Let b be u(4). Which is smaller: h or b?
b
Suppose -5*v = -3*d + 136, -v = -3*v - 2*d - 48. Le... | {
"pile_set_name": "DM Mathematics"
} |
57 in the form f*t**4 + z*t**3 + a + d*t**2 + y*t and give d.
-2
Express (215 + 138 - 286)*(0 + 0 + i) - 5*i + 2*i - 8*i in the form a*i + x and give a.
56
Express -6766*g**4 + 995*g**4 - 1736*g**4 + (0*g + g - 2*g)*(0*g - 3*g**3 + 0*g) as q + h*g**3 + t*g**2 + u*g + n*g**4 and give n.
-7504
Express 7*y + 1225 - 18*y**... | {
"pile_set_name": "DM Mathematics"
} |
ppose -4*a + w + 40 = 0, -2*a + 5*w + 0 + 20 = 0. Suppose -a*v = -14*v + 116. Let k = -16 + v. What is the greatest common factor of k and 65?
13
Let z(y) = -3*y**2 - 49*y - 4. Let l be z(-14). What is the greatest common factor of 47 and l?
47
Suppose 0 = -d + 14 + 25. Let z(r) = -5 + 6 - 5*r + 3*r - 4*r. Let y be z(-... | {
"pile_set_name": "DM Mathematics"
} |
(-2 + 2 - g)*(5 + 1 - 5)*(-g + 3*g + 2*g)*(3*g + g + 0*g).
16*g**4 + 64*g**3
Expand 2*a**3 - 3*a**3 + 2*a**3 + (-2 + 2 - a + (0 + 0 - 1)*(-2*a + 2*a + a) - 3*a + 5*a - 3*a)*(2*a**2 - 3 - 4 + 3) - 620 + 41*a**3 + 620.
36*a**3 + 12*a
Expand 7325*y**2 + 7124*y**2 - 1 - 14635*y**2 + (2*y - y - 2*y)*(2*y + 0*y + 0*y).
-188*... | {
"pile_set_name": "DM Mathematics"
} |
Let a(i) = -i + 9. Let x be a(7). Let t(c) be the third derivative of 0*c + 1/6*c**3 - 1/24*c**4 + 0 - 2*c**x. Find the first derivative of t(s) wrt s.
-1
Let k(x) be the first derivative of 0*x**2 + 0*x**6 + 2 - 7/3*x**3 + 0*x + 0*x**5 - x**7 + 0*x**4. Find the third derivative of k(g) wrt g.
-840*g**3
Let z(x) = -x**... | {
"pile_set_name": "DM Mathematics"
} |
2 + 7*v**2. What is m(i(x))?
12*x**4
Let k(c) = 7*c**2. Let g = -5 + 10. Let a(r) = 9*r - 2*r**2 - 4*r - g*r. Give a(k(n)).
-98*n**4
Let q(m) = 3*m + 2*m - 2*m. Let r(s) = -4 - 12*s**2 + 15*s**2 + 4. Give q(r(c)).
9*c**2
Let c(d) = 49*d**2. Let l(r) = 4*r**2. Give c(l(y)).
784*y**4
Let x(i) be the first derivative of -... | {
"pile_set_name": "DM Mathematics"
} |
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