text stringlengths 270 8.19k | meta dict |
|---|---|
e 2*s = 4*i + 48, -3*s - 3*i + 7*i + 80 = o. What is the remainder when s is divided by 12?
8
Let v be 10 - ((-6)/(-1) + -30 + 29). What is the remainder when (-273)/(-14)*(v - 0 - 3) is divided by 19?
1
Let n(k) = -9*k - 21. Let j be n(-3). Suppose j*t + 1707 - 6003 = 0. Calculate the remainder when t is divided by 16... | {
"pile_set_name": "DM Mathematics"
} |
in -1/4, 1.9, 3, -17, 2/9?
3
Which is the third biggest value? (a) 3088 (b) 4 (c) -2/9 (d) 37
b
What is the second smallest value in 4, 4/7, -1/5, -163, -21?
-21
What is the third biggest value in 4, 241, -1.3, -1/9?
-1/9
What is the second biggest value in 7/4, -0.23, 17, 0.3, 1?
7/4
What is the fourth biggest val... | {
"pile_set_name": "DM Mathematics"
} |
7
Suppose -j + 6 = 2*j. Let l(z) = 4 + 2*z - 3 - 2*z**j + 2. Let g = 9 - 6. Determine l(g).
-9
Let n be 2/7 - 48/(-28). Suppose -s - g = 4, -9 = n*s + g - 0*g. Let l(a) = 4*a**2 - 43*a - 7. Let r(c) = c**2 - 8*c - 2. Let x(w) = l(w) - 5*r(w). Give x(s).
-7
Let u(b) = -5*b**2 - b. Let r be (-3)/(21/(-35)) - 7. Let d(v) ... | {
"pile_set_name": "DM Mathematics"
} |
29*k**2 + 3. Let u(c) = 3*w(c) + 2*y(c). What is the derivative of u(p) wrt p?
-58*p
Let t(r) be the third derivative of -13*r**5/60 + 13*r**4/24 - 6*r**2. What is the second derivative of t(v) wrt v?
-26
Let x(h) be the second derivative of -1/10*h**5 - 1/2*h**2 + 0 + 0*h**4 + 0*h**3 + 2*h. Differentiate x(f) with res... | {
"pile_set_name": "DM Mathematics"
} |
3*t - 4*t + (-2*t - 5 + 5)*(3 + 1 - 2) + 2*t - t + t.
21*t
Expand (1 - 3 + 0)*(30*x**4 - 25*x**2 + 46*x**2 - 23*x**2).
-60*x**4 + 4*x**2
Expand (-2*l + 8 + 0 - 6)*(-l**3 + 2*l - 3*l + 0*l).
2*l**4 - 2*l**3 + 2*l**2 - 2*l
Expand 2*i**2 - i**2 + 0*i**2 + (-i + 4*i + 9*i)*(3*i - i - 4*i).
-23*i**2
Expand (3 - 3 + 4)*(2*l ... | {
"pile_set_name": "DM Mathematics"
} |
3, 32
Sort -3/5, -1, -9, -2, -11.
-11, -9, -2, -1, -3/5
Put 0.5, -1, -3, 2 in decreasing order.
2, 0.5, -1, -3
Sort 1/2, 2/9, 0.3783 in descending order.
1/2, 0.3783, 2/9
Put -2, 2, 7, 4, 8 in decreasing order.
8, 7, 4, 2, -2
Sort -4, -191, -5 in ascending order.
-191, -5, -4
Put -1/9, 0, 100, -5 in decreasing order.
1... | {
"pile_set_name": "DM Mathematics"
} |
*c**3 + 495*c**3 - 215*c**3 - 1 to o*c + j*c**2 + q*c**3 + r and give r.
-4
Express (-302 + 356 - 175)*(2*s + 2*s - 5*s)*(s + 2*s - 6*s) - s**2 + 3*s**2 - s**2 as b + f*s**2 + o*s and give f.
-362
Express (0 - 2 + 4)*(-x - 2*x + 0*x) - 69 + 514*x + 69 in the form f*x + i and give i.
0
Rearrange -872*t**2 - 406*t**2 - 1... | {
"pile_set_name": "DM Mathematics"
} |
ose -2*v + 3*b = 5*b - 10, 4*b = 2*v + 8. Let i(r) = r**2 - 6*r + 8. Suppose -9 = -3*d - 0. Let t be i(d). Put -5, t, v in ascending order.
-5, t, v
Let c be ((-9)/5)/(9/(-30)). Let r be 12/(-54) - (-4)/c. Put 3, r, 1/3 in ascending order.
1/3, r, 3
Suppose 0 = 4*u, 5*p = -5*u - 4 - 21. Let l(m) = -m**3 + 18*m**2 + 17*... | {
"pile_set_name": "DM Mathematics"
} |
3, 0
Let n = 80 - 76. Determine g, given that 27/5*g**3 - 21/5*g**2 - 3*g**n + 6/5*g + 0 + 3/5*g**5 = 0.
0, 1, 2
Let n = 71223/12035 + -213/83. Let t = -16/29 + n. Find r such that 0 + 4/5*r**2 - 18/5*r**3 + t*r**4 + 0*r = 0.
0, 2/7, 1
Factor -5*h**4 - h + 16*h**3 - 2*h + 8*h + 5*h**2 - 21*h**3.
-5*h*(h - 1)*(h + 1)**2... | {
"pile_set_name": "DM Mathematics"
} |
a?
a
Suppose 0 = 2*m + 3*m - 65. Let j = -6608 + 6612. Which is bigger: j or m?
m
Let b = -7 - -14. Suppose 5*z - b*z = -8. Let k be (-15)/9 + z/2. Is k greater than 2/7?
True
Let x = 71.5 + -71.5. Let j = -7 + 8. Which is smaller: j or x?
x
Let x be ((-27)/(-150))/(2/4). Let r = 288 + -21598/75. Let z = x - r. Which ... | {
"pile_set_name": "DM Mathematics"
} |
ulate the highest common divisor of 3470 and 50.
10
What is the highest common factor of 378 and 3843?
63
What is the greatest common divisor of 213 and 15?
3
What is the greatest common divisor of 304 and 95?
19
Calculate the greatest common factor of 1450 and 58.
58
Calculate the greatest common factor of 72 and 984.... | {
"pile_set_name": "DM Mathematics"
} |
= d - p. List the prime factors of d.
13
Suppose -4*n + 76 = 5*w - 208, 3*w + 240 = 3*n. What are the prime factors of n?
2, 19
Let b = 15 + 4. List the prime factors of b.
19
Let c = 9 - 4. Suppose -c*s = -3*s - 4. Suppose 0*l + 14 = s*l. List the prime factors of l.
7
Suppose 5*k - y - 1154 = 0, 3*k + 2*y = 286 + 40... | {
"pile_set_name": "DM Mathematics"
} |
rest 100000.
700000
What is 91.058 rounded to the nearest 10?
90
Round 242.71273 to 1 decimal place.
242.7
Round 0.00208676 to 5 dps.
0.00209
Round -1169.065 to the nearest one thousand.
-1000
What is 243.53102 rounded to the nearest 10?
240
Round 0.00059777 to 4 dps.
0.0006
Round 1.244174 to 3 decimal places.
1.244
Wh... | {
"pile_set_name": "DM Mathematics"
} |
Is j at least 2?
True
Let j be (1 - -2) + 1/(-1). Let g be j - 3 - (-1579)/(-8). Let z = -198 - g. Which is smaller: z or 1?
z
Let u be 10/(6/(-3))*1. Let v be u*2/6*-3. Is v > -0.1?
True
Let k = -1945/14 - -139. Suppose 4*w + 20 = -3*v + 7*v, 4*w - v = -8. Which is greater: k or w?
k
Let j be 2/3*15*(-1)/13. Is j at l... | {
"pile_set_name": "DM Mathematics"
} |
- 70*m**2 - m - 13. Suppose z(p) = 0. Calculate p.
-16/3, -3, -1
Let w be 18/(-27)*3*6/(-4). Factor -5 - 15 - 8*q + 5*q**2 + 15*q**w + 10 + 5*q**4 - 7*q.
5*(q - 1)*(q + 1)**2*(q + 2)
Let m = 2199 + -24188/11. Let z(s) be the first derivative of -1/33*s**6 + 7/11*s**2 + 16/33*s**3 + m*s**4 - 4/55*s**5 + 4/11*s + 15. Fac... | {
"pile_set_name": "DM Mathematics"
} |
+ 10 = t + x, 5*y = -3*t for t.
-5
Suppose 232*n - 213 = 457 + 258. Solve -5*j = 2*u + 21, -3*u - 49 = -n*j - 52 for u.
-3
Suppose -15*b + 86 = -4. Suppose 92*m - 90*m = b. Solve h - 12 = m*k, -5*k + 2*h - 16 = -h for k.
-5
Let a(o) = 24*o - 4. Let f(p) = p. Let j(h) = a(h) - 12*f(h). Let d be j(5). Let n = 61 - d. Sol... | {
"pile_set_name": "DM Mathematics"
} |
te n(t(c)).
4*c**4
Let x(a) = -2*a**2. Suppose -4*r + 97 = -39. Let p = r + -27. Let i(k) = -p*k**2 - 17*k**2 - k**2. Give i(x(s)).
-100*s**4
Let w(a) = a + 1. Let r be w(0). Let m(o) = -1 + 4*o + 2 - r. Let u(x) be the third derivative of -x**4/6 - 27*x**2. Determine u(m(q)).
-16*q
Let r(a) = 11*a. Let d(c) be the fir... | {
"pile_set_name": "DM Mathematics"
} |
/sqrt(3))*2).
8*sqrt(17)
Simplify 3 + 5*(2 + 1*(sqrt(704) + -4))**2.
-160*sqrt(11) + 3543
Simplify (sqrt(204)/((sqrt(72)*-1)/sqrt(6)))**2 + sqrt(153)/(sqrt(9) + (sqrt(729) - (sqrt(729) - sqrt(729)*1))).
sqrt(17)/10 + 17
Simplify (sqrt(1539) - (sqrt(1539) + sqrt(1539)*-4 + -2))**2 + 4*(sqrt(2299) + -2)**2.
-32*sqrt(19) ... | {
"pile_set_name": "DM Mathematics"
} |
d - n = 3*d. Which is the biggest value? (a) j (b) d (c) 5
c
Let u = 17.71 - 17.71. Which is the third smallest value? (a) u (b) 9 (c) 26
c
Let h = 0 + -19. Let t = h + 23. Which is the smallest value? (a) t (b) -4 (c) 0.3
b
Let v be (-52)/104 + (-38)/(-12) + -2. What is the third biggest value in 1, -1, v, -6... | {
"pile_set_name": "DM Mathematics"
} |
comes next: -318, -1179, -2558, -4437, -6798, -9623?
-12894
What is next in -124, -587, -1734, -3907, -7448, -12699?
-20002
What is next in 13870, 27690, 41470, 55216, 68934?
82630
What is next in 1570, 1527, 1462, 1363, 1218?
1015
What is next in 8054, 32227, 72516, 128921?
201442
What is the next term in -206, -1786,... | {
"pile_set_name": "DM Mathematics"
} |
ose d = -2*d - 4*w, 0 = d + 3*w. Suppose -p + 4327 = -d*i + i, 4*i - 17308 = -2*p. Is i composite?
False
Let y = 326 - 321. Suppose y*u - 1623 = 2*u. Is u prime?
True
Suppose -4*i = -r + 363233, -85*r + 86*r = i + 363251. Is r composite?
False
Let h(s) = -2*s**3 + 71*s**2 - 314*s + 392. Is h(-75) prime?
True
Let q(l) =... | {
"pile_set_name": "DM Mathematics"
} |
.787.
-57081.118
What is -3 times 4.0999632?
-12.2998896
-2639025 * 13
-34307325
Product of 0.04 and -5077778.
-203111.12
4.525014*-3
-13.575042
0.4 times 10488053
4195221.2
Product of -235430569 and 1.
-235430569
-18.153 * -25
453.825
Multiply -0.0585 and -44978.
2631.213
-0.12 times -6951.767
834.21204
13 times 3032.... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 916 + 218 = 11*a + 177. Solve -10*j - 167 + a = 0 for j.
-8
Let q = -3287 - -3335. Solve q*h - 4 = 47*h for h.
4
Let f(j) = 11*j + 38. Let n be f(-3). Suppose -2*x + 12 = n*q, -22*q = -4*x - 19*q - 2. Solve 4*g + x - 1 = 0 for g.
0
Let r = -107 + 5. Let f = -102 - r. Suppose f*j = 7*j - 14. Solve 4*b + j = -6 f... | {
"pile_set_name": "DM Mathematics"
} |
er?
False
Is 21169039 composite?
True
Is 37041223 a prime number?
False
Is 52694351 prime?
False
Is 82926199 a prime number?
True
Is 24168047 a prime number?
True
Is 11153287 a composite number?
False
Is 205822493 composite?
True
Is 1030279 prime?
False
Is 10581197 prime?
False
Is 5854883 composite?
False
Is 297833 a c... | {
"pile_set_name": "DM Mathematics"
} |
ded by 16?
12
Let x = 26 - 3. Calculate the remainder when 204 is divided by x.
20
Let d(m) = m**2 + 5*m. Let w be d(-5). Let r(k) = k**3 - k + 4. Let a be r(w). Let o = 7 - a. Calculate the remainder when 7 is divided by o.
1
Let b be (-4)/3*(-3)/(-2). What is the remainder when 1/(2/152) - b is divided by (-137)/(-7)... | {
"pile_set_name": "DM Mathematics"
} |
et j = 147/374 - -3/187. Is j bigger than -1?
True
Let r be (14/(-385))/((-34)/(-10)). Which is smaller: -1 or r?
-1
Let u be -1 + (-1 - 1) + 1. Let k be 33/u*8/12. Is -12 greater than k?
False
Let l = -73.3 + 62.3. Which is smaller: -0.09 or l?
l
Let s(y) = -y**3 - 5*y**2 - 4*y - 17. Let d be s(-5). Suppose 30 = 7*n +... | {
"pile_set_name": "DM Mathematics"
} |
s**4 + 4*s**4 - 5*s + 9 to the form y*s + f*s**2 + q + v*s**3 + r*s**4 and give r.
1
Rearrange 10 - 1628*p**2 + 4877*p**2 - 1622*p**2 - 1622*p**2 - 14*p**4 - p - p**4 to the form z*p + j + x*p**3 + h*p**4 + t*p**2 and give j.
10
Rearrange (0 - 45 - 7)*(2*w - 3*w - w) - 29 + 68 - 18 - 85*w - 26 to g*w + n and give n.
-5... | {
"pile_set_name": "DM Mathematics"
} |
is divided by (-10)/r*1*33?
47
Suppose 2*b + 5*c - 142 = 0, 130*b - 135*b - 3*c + 355 = 0. Calculate the remainder when 917 is divided by b.
65
Suppose -3*c - 17*k = -12*k + 5, -5*c - 3*k + 13 = 0. Suppose -5*n - 4*h + 443 = 0, 108 + 180 = 3*n - c*h. What is the remainder when n is divided by 33?
25
Suppose j + m - 961... | {
"pile_set_name": "DM Mathematics"
} |
(b) be the first derivative of -9*b**2/2 + 5. What is the units digit of i(-2)?
8
Suppose 2*a + 12 - 52 = 0. What is the units digit of a?
0
Let m(t) = t**3 - 7*t**2 + t + 3. Let j(k) = k**2 - k. Let h(l) = -3*j(l) + m(l). What is the units digit of h(10)?
3
Let f(t) = -3*t + 4 - 5 + 2 + 4. What is the units digit of f... | {
"pile_set_name": "DM Mathematics"
} |
= 99 - 74. Solve i - 6*i + j = 0 for i.
5
Let p(w) = w**3 + w**2 + 23. Let s be p(0). Suppose -3*f + 13 = -s. Solve -4*t + 4 = f for t.
-2
Let s(i) = -5*i**2 - 6*i + 1. Let y(q) = -9*q**2 - 12*q + 1. Let l(a) = 11*s(a) - 6*y(a). Let o = 11 - 6. Let d be l(o). Solve -4*t = -2*t + d for t.
-5
Let w = 23 - 13. Suppose -w*... | {
"pile_set_name": "DM Mathematics"
} |
3 a factor of x?
False
Let s(v) = v + 10. Let c be 1*6 + 0 - 1. Let u(i) = 2*i + 21. Let o(j) = c*s(j) - 2*u(j). Does 8 divide o(0)?
True
Suppose -5 = -0*l + l. Let o = l + 13. Is 8 a factor of o?
True
Let s be (-860)/(-18) - 2/(-9). Suppose 0 = -3*n + n + s. Is 12 a factor of n?
True
Suppose 4*z + 5 = 17. Suppose -z*o... | {
"pile_set_name": "DM Mathematics"
} |
)/(y**(2/3))**3) assuming y is positive.
y**(-34/33)
Simplify (a**(-2/7))**(-13)*((a/(a/a**(-6)))/a)/a**(-5)*((a**(-2/17)*a)/a**(6/7))**(17/7) assuming a is positive.
a**(87/49)
Simplify ((t*t**(1/8))/t**(-3/8))/(((t*t*t**(3/4))/t)/((t/t**(-1/3))/t))*((((t**(-1)/t)/t*t)/t)**(-8/9))**(2/31) assuming t is positive.
t**(9... | {
"pile_set_name": "DM Mathematics"
} |
1818439, -1818451, -1818465?
-r**2 - 5*r - 1818415
What is the w'th term of -131410, -264188, -396966, -529744, -662522, -795300?
-132778*w + 1368
What is the z'th term of 146066, 291373, 436680, 581987, 727294?
145307*z + 759
What is the p'th term of -156833, -311202, -465571, -619940, -774309?
-154369*p - 2464
What i... | {
"pile_set_name": "DM Mathematics"
} |
is the h'th term of -726, -730, -738, -750, -766, -786, -810?
-2*h**2 + 2*h - 726
What is the d'th term of -191, -411, -617, -803, -963?
d**3 + d**2 - 230*d + 37
What is the q'th term of 3, 59, 151, 297, 515?
3*q**3 + 35*q - 35
What is the g'th term of 60, 217, 486, 873, 1384?
g**3 + 50*g**2 + 9
What is the g'th term o... | {
"pile_set_name": "DM Mathematics"
} |
v(w) = -45*w + 680. Let x be v(15). What is the closest to -2 in x, -2/13, 0, -6?
-2/13
Let q = 0.8377 - -0.1623. What is the closest to q in 0, 3, 4/7, 1/6?
4/7
Suppose 7 + 25 = 4*w. Suppose 2 = j, -2*z = 3*j - 4*j - 8. Suppose -2*v - z*r = -w, 0 = 2*r - 2 - 2. Which is the nearest to 0.2? (a) v (b) -0.3 (c) 2
b
L... | {
"pile_set_name": "DM Mathematics"
} |
493.
477
Calculate the greatest common factor of 4082 and 1867762.
26
What is the greatest common factor of 84212 and 733636?
148
What is the greatest common divisor of 230 and 56379670?
230
What is the greatest common divisor of 82493191 and 55?
11
What is the highest common divisor of 3470791 and 4348?
1087
What is t... | {
"pile_set_name": "DM Mathematics"
} |
9*k - 3. Let m be p(5). Suppose -134 = 3*z + z - 3*g, z = 5*g - m. Find the common denominator of 19/11 and 31*(-3 - z/11).
11
What is the smallest common multiple of 20 and -22*(-4)/(-8)*-2?
220
Let d(k) = 6*k - 11. What is the smallest common multiple of 3/6*(2 - -26) and d(3)?
14
Let c(z) = 0*z - 7*z + 6 + 2*z - z**... | {
"pile_set_name": "DM Mathematics"
} |
by 8.
7
Calculate the remainder when 96 is divided by 11.
8
Calculate the remainder when 925 is divided by 17.
7
Calculate the remainder when 286 is divided by 24.
22
Calculate the remainder when 573 is divided by 75.
48
Calculate the remainder when 895 is divided by 226.
217
What is the remainder when 3882 is divided ... | {
"pile_set_name": "DM Mathematics"
} |
4
Let u(n) be the third derivative of 4/27*n**3 - 5/108*n**4 + 0*n + 0 + 1/540*n**5 + 1/1080*n**6 + 22*n**2. Factor u(r).
(r - 2)*(r - 1)*(r + 4)/9
Let p = 42 + -38. Factor -8*i**5 + 0*i**3 + 2*i**p - 11*i**5 + 20*i**5 + i**3.
i**3*(i + 1)**2
Let f = -161/6081 - -6403/12162. Suppose 3/5 + 1/10*m**2 + f*m = 0. Calculat... | {
"pile_set_name": "DM Mathematics"
} |
2, 17
Suppose j + 2*k = 2*j + 213, 2*k + 402 = -2*j. Let a = 321 + j. List the prime factors of a.
2, 29
Suppose 0 = 11*y - 53806 + 13711. What are the prime factors of y?
3, 5
Let p(t) = t**3 + 4 - t**2 - 3 + 5*t**2. Let c be p(-4). What are the prime factors of ((-35)/(-3))/(c/3)?
5, 7
Let m(a) = -a**3 + 9*a**2 - 14... | {
"pile_set_name": "DM Mathematics"
} |
first derivative of f(q). What is the derivative of b(w) wrt w?
-18*w**2
Let j(t) be the second derivative of -43*t**8/56 + 13*t**4/6 + 56*t. Find the third derivative of j(i) wrt i.
-5160*i**3
Suppose c = -0*c - 5. Suppose 2 - 8 = -t. Let q(y) = 3*y - 5. Let b(p) = 3*p - 4. Let n(z) = c*q(z) + t*b(z). Differentiate n(... | {
"pile_set_name": "DM Mathematics"
} |
84 and 308632216?
184
What is the greatest common divisor of 75043643 and 215?
43
What is the highest common factor of 81 and 40718583?
9
What is the greatest common factor of 2053415 and 14?
7
Calculate the highest common divisor of 397615 and 380635.
1415
Calculate the greatest common divisor of 1191806 and 8459.
11
... | {
"pile_set_name": "DM Mathematics"
} |
q + l*x, 2*q - 151 = -5*x. Does 21 divide q?
True
Let y = -22 + 20. Let d(g) = g**3 + 5*g**2 + 2. Let t be d(-5). Is 15 a factor of t*((-81)/y)/3?
False
Let p = -89 - -252. Suppose -5*o + p + 92 = 0. Is o a multiple of 17?
True
Suppose -2*j - 3*j = -45. Let w be 3/j + 8/3. Suppose -2*z = w*z - 25. Is 4 a factor of z?
F... | {
"pile_set_name": "DM Mathematics"
} |
millions digit of 256102878?
2
What is the thousands digit of 300530207?
0
What is the millions digit of 280540032?
0
What is the ten millions digit of 84125549?
8
What is the hundred millions digit of 886440105?
8
What is the ten millions digit of 87015417?
8
What is the ten millions digit of 822117384?
2
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
picking 2 r when two letters picked without replacement from {r: 7}?
1
Calculate prob of picking 2 h and 1 u when three letters picked without replacement from {q: 1, h: 3, u: 1, c: 1, t: 1}.
3/35
Calculate prob of picking 2 x when two letters picked without replacement from gbxggxbggx.
1/15
What is prob of picking 2 l... | {
"pile_set_name": "DM Mathematics"
} |
67. Let m be k(a). Solve 0 = 11*h - m + 51 for h.
-4
Let d be (-8)/(5 - 1) - -4 - -173. Let p = 195 - d. Solve -4*n + p = -8*n for n.
-5
Let v(x) = -x**3 - 10*x**2 + 10*x + 2. Let s be v(-10). Let n be (-4)/14 - 714/s. Let h be -5*(1 + n/(-5)). Solve 0 = -h*p + p for p.
0
Suppose 196*m + 3 = -4*s + 199*m, 5*s - 3*m + ... | {
"pile_set_name": "DM Mathematics"
} |
t, z, -0.1?
-0.1
Let n = 58 - 58. Suppose 0 = -f + 5*z - 28, -5*f - z = 2 + 8. Let o be 10/f*(-3)/5. Which is the closest to n? (a) o (b) 6 (c) 3
a
Let u be -28*(-204)/(-432) - -13. What is the nearest to 3/25 in -23, 2/11, 0, u?
2/11
Let p = -12905/42 - -1843/6. Let i = -0.85 - -0.15. What is the nearest to -0.1 i... | {
"pile_set_name": "DM Mathematics"
} |
divided by 166.
58
What is the remainder when 534147 is divided by 75?
72
What is the remainder when 629 is divided by 625?
4
Calculate the remainder when 5548 is divided by 297.
202
What is the remainder when 10555 is divided by 3240?
835
Calculate the remainder when 100670 is divided by 8.
6
Calculate the remainder ... | {
"pile_set_name": "DM Mathematics"
} |
et r(u) = u**3 - 10*u**2 - 38*u + 305. What is the remainder when 60 is divided by r(11)?
4
Suppose x = -2*q - 28, x + 116 = -3*x - 4*q. Let j = -26 - x. Suppose -j*z + 84 = 24. Calculate the remainder when z is divided by 6.
3
Suppose -12*w + 17*w = -4*u + 478, 4*w - 5*u - 407 = 0. Calculate the remainder when w is di... | {
"pile_set_name": "DM Mathematics"
} |
+ 77 + 4 = -k, 0 = 5*t + 4*k - 126. Let i(w) be the first derivative of w**4/4 - 6*w**3 - w**2/2 + 24*w - 3. Give i(t).
6
Let v(u) = -11*u - 8*u**2 - 189 + 179 + 9*u**2. Calculate v(12).
2
Let y(m) = 7*m - 4. Let j(s) = 31*s - 134. Let i be j(5). Suppose -i*t = -19*t - 6. Calculate y(t).
17
Let c(i) = 35*i**2 + 9*i + ... | {
"pile_set_name": "DM Mathematics"
} |
-48*k**2
Let b(z) = -31*z**2. Let f(u) = -1397 + 19*u + 1397 + 43*u. Calculate f(b(o)).
-1922*o**2
Let j(q) = 9*q. Let m(n) = 4082*n + 26. Let c(h) = -814*h - 5. Let u(y) = -26*c(y) - 5*m(y). What is u(j(x))?
6786*x
Let z(b) = 2*b + 19. Let j(r) = r - 6. Let p(a) = 4*a - 2*a - 3*a + 5. Let m(f) = -5*j(f) - 6*p(f). What... | {
"pile_set_name": "DM Mathematics"
} |
ator of 49/1088847 and -52/9693.
3266541
Find the common denominator of -35/18 and 167/1678110.
5034330
Find the common denominator of 47/46318 and 117/14.
324226
What is the smallest common multiple of 84 and 653520?
653520
Calculate the smallest common multiple of 16182 and 19778.
178002
What is the lowest common mul... | {
"pile_set_name": "DM Mathematics"
} |
ment from ysisifiqyfsqqy?
6/91
What is prob of picking 1 m and 1 e when two letters picked without replacement from {x: 2, m: 1, a: 1, q: 2, e: 1, s: 2}?
1/36
Three letters picked without replacement from {x: 3, v: 3}. What is prob of picking 1 x and 2 v?
9/20
Four letters picked without replacement from {l: 1, p: 2, s... | {
"pile_set_name": "DM Mathematics"
} |
f -22422, -22202, -21830, -21300, -20606?
g**3 + 70*g**2 + 3*g - 22496
What is the r'th term of 452820, 452075, 450832, 449091, 446852, 444115, 440880?
-249*r**2 + 2*r + 453067
What is the m'th term of 742, 544, 356, 178, 10, -148?
5*m**2 - 213*m + 950
What is the z'th term of -5753563, -11507161, -17260759, -23014357,... | {
"pile_set_name": "DM Mathematics"
} |
2 + 12*w - 37. Let z be q(4). Put u, 1/10, z in decreasing order.
1/10, u, z
Let k(t) = t**3 + 6*t**2 - 7*t - 1. Let j be k(-7). Let g = -12 + 17. Put j, 0.1, g in decreasing order.
g, 0.1, j
Suppose -i + 2*h + 4 = 0, -2*i = -0*i - 2*h - 4. Suppose 4*p - 2*p - 2 = i, 0 = -5*q + 3*p - 8. Let n = 4.03 - 0.03. Put q, -4, ... | {
"pile_set_name": "DM Mathematics"
} |
- 1096. Give s(-18).
8
Let o(y) be the first derivative of 45*y**2/2 - 525*y - 7085. Determine o(12).
15
Let w(j) be the first derivative of -2*j**3/3 + 5*j**2 - 9*j + 7. Suppose 50*b = 52*b - u - 11, -2 = -2*u. Calculate w(b).
-21
Let t = -28 - -31. Suppose -r - 1 + t = 0. Let m be (-95)/(-15) - r/6. Let k(p) = p**3 -... | {
"pile_set_name": "DM Mathematics"
} |
478556?
26*n**2 + 369534*n + 4
What is the y'th term of -50799, -101529, -152187, -202779, -253311, -303789?
-y**3 + 42*y**2 - 50849*y + 9
What is the c'th term of -138520, -138841, -139162, -139483, -139804, -140125?
-321*c - 138199
What is the k'th term of -132812, -265600, -398388, -531176, -663964, -796752?
-132788... | {
"pile_set_name": "DM Mathematics"
} |
*3 + 9*g**2 + 6*g - 7. Let j(r) = -7*r**3 + 9*r**2 + 5*r - 8. Let k(s) = 5*j(s) - 6*z(s). Calculate k(10).
-8
Let c(d) = 5*d - 49. Let h(p) = p - 12. Let f(t) = -2*c(t) + 9*h(t). Determine f(0).
-10
Suppose 3*d = 4*f - 22, -10*d = -14*d - 4*f + 8. Let z(a) = -a**3 + 2*a**2 - 3*a - 3. Give z(d).
19
Let f(s) = -s**2 + 2*... | {
"pile_set_name": "DM Mathematics"
} |
What is next in 7329, 7325, 7321?
7317
What is the next term in -3271, -6454, -9637?
-12820
What comes next: 3133, 25087, 84675, 200713, 392017, 677403?
1075687
What is the next term in -25011, -25231, -25825, -26979, -28879, -31711, -35661?
-40915
What is next in -146, -1325, -2504, -3683?
-4862
What is next in -1530... | {
"pile_set_name": "DM Mathematics"
} |
, a, h
Suppose -142 = 24*d + 506. Put d, -2, -5, 5 in increasing order.
d, -5, -2, 5
Suppose -3*o = -3*s - 45, -2*o = 3*s - 27 - 8. Suppose 17*y + 182 = -107. Let d = o + y. Put 5, 2, d in descending order.
5, 2, d
Let f be 3 - (-3 + 99/18). Put -35, f, -10 in ascending order.
-35, -10, f
Suppose -3*g = -g - 2*h + 32, ... | {
"pile_set_name": "DM Mathematics"
} |
= -12 + 17. Let h = 58 + -59. Let t = 0.0756 + -0.0256. What is the third smallest value in h, j, t, 4?
4
Let d = -0.1992 - -5.1992. Which is the third biggest value? (a) 174 (b) d (c) 3
c
Let s be (2/(-3))/((-30)/(-585)). Let g = s - -11. Let l = 8 + -5. What is the second biggest value in l, g, 4, -5/6?
l
Let j = ... | {
"pile_set_name": "DM Mathematics"
} |
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