text stringlengths 270 8.19k | meta dict |
|---|---|
of c.
2, 3, 11
Let j = -1042 + 4573. List the prime factors of j.
3, 11, 107
Suppose -15 = -5*n - 20. Let f be (-51 - -4)/(-1) + n. Suppose -g + 2 = -0*g, 3*t - g = f. List the prime factors of t.
2
Suppose 4*a - 6 - 17 = 5*r, 2*r + 16 = 5*a. Suppose a*h + 112 = 334. Suppose 0 = -2*i + 133 + h. List the prime factors ... | {
"pile_set_name": "DM Mathematics"
} |
se 11, what is 1 + 514?
515
In base 12, what is 0 - -341?
341
In base 13, what is 0 - -a69?
a69
In base 16, what is 2 - e?
-c
In base 14, what is 2c5 - 1?
2c4
In base 12, what is -18 - -53?
37
In base 5, what is 10200 + -1?
10144
In base 5, what is 3 - -1323?
1331
In base 12, what is -4 + -164?
-168
In base 16, what is... | {
"pile_set_name": "DM Mathematics"
} |
5*v(z). What is the third derivative of u(g) wrt g?
-54
Let b(z) = 16*z**2 + 3*z + 24. Let l(p) = 33*p**2 + 5*p + 47. Let n(u) = -5*b(u) + 3*l(u). Find the first derivative of n(i) wrt i.
38*i
Suppose 4 = y - 1. Suppose -5*z - y*k = -0*z - 5, -3*z - 5*k + 5 = 0. What is the third derivative of z*f**2 - f**2 + f**3 - f... | {
"pile_set_name": "DM Mathematics"
} |
me factors of 4749?
3, 1583
List the prime factors of 65181.
3, 21727
What are the prime factors of 17788?
2, 4447
List the prime factors of 2633.
2633
List the prime factors of 3475.
5, 139
What are the prime factors of 130854?
2, 3, 113, 193
What are the prime factors of 1289?
1289
What are the prime factors of 1454?... | {
"pile_set_name": "DM Mathematics"
} |
Rearrange -1 + 1 + 2*r + (4 + 16 - 5)*(-2*r + 2 - 2) + 2*r - r + 0*r to the form p*r + c and give p.
-27
Express 53*m**2 - 9*m**2 - 16*m**2 as c*m**2 + r + l*m and give c.
28
Express -20*u**2 - 2 + 14*u**2 + 13*u**2 - 3*u - 2*u**3 as g + n*u**3 + p*u**2 + m*u and give m.
-3
Rearrange (-1 + 1 - 2)*(-l - 3 + 3 + (0*l + ... | {
"pile_set_name": "DM Mathematics"
} |
1). Suppose -2*i + 10 + g = 0. Is i a multiple of 8?
False
Let t = -8 - -41. Is t a multiple of 11?
True
Is 19 a factor of (-4)/8*((2 - 5) + -71)?
False
Let a = -11 - -24. Does 13 divide a?
True
Suppose 2*d + 129 = s - 3*d, s - 84 = -4*d. Does 29 divide s?
False
Suppose 108 = 6*y - 12. Is y a multiple of 3?
False
Let j... | {
"pile_set_name": "DM Mathematics"
} |
0*f - 94725*f - 4*l, 5*f - 25 = 5*l for f.
9
Solve -5*k = -5*n - 5, 233*k = 230*k - 3*n - 3 for k.
0
Solve -5*p - 89 + 28 = -t, 2*p = -5*t - 19 for p.
-12
Solve -18 = 242*u - 245*u + 3*k, 6 = -u - 2*k for u.
2
Solve 2*h - 21 = 3*x, 15*h - 40 = 29*x - 30*x for h.
3
Solve -4*f - 70 = -10*p, f + 6*p + 21 = 9*p for f.
0
So... | {
"pile_set_name": "DM Mathematics"
} |
the ten thousands digit of 236311?
3
What is the ten thousands digit of 195959?
9
What is the ten thousands digit of 38001?
3
What is the thousands digit of 291640?
1
What is the hundreds digit of 1742557?
5
What is the ten millions digit of 11183363?
1
What is the thousands digit of 15294603?
4
What is the ten thousa... | {
"pile_set_name": "DM Mathematics"
} |
18. Let c = l - 1.4. What is c rounded to 4 dps?
-0.0002
Suppose -2*f = f + 21. Let k(d) = d**3 + 6*d**2 - 7*d + 3. Let p be k(f). Suppose p*r + 70220 = -10780. Round r to the nearest 10000.
-30000
Let q = 3.4273726 + -1.8273733. Let m = q + -1.6. What is m rounded to six decimal places?
-0.000001
Suppose -4*u + 3*x - ... | {
"pile_set_name": "DM Mathematics"
} |
digit of 3779575?
5
What is the hundred thousands digit of 1610388?
6
What is the tens digit of 4599052?
5
What is the units digit of 915276?
6
What is the thousands digit of 1036122?
6
What is the hundred thousands digit of 368205?
3
What is the hundred thousands digit of 16589638?
5
What is the hundred thousands dig... | {
"pile_set_name": "DM Mathematics"
} |
g (b) -4 (c) 1 (d) 0.5
a
Let w = 78113.5 + -78114. Let x = -0.52 - -0.5. Which is the nearest to x? (a) -5/2 (b) 1 (c) w
c
Let i = -80.7 + 116. Let k = 35 - i. Let y(r) = -8*r. Let q be y(1). Which is the closest to -1? (a) k (b) q (c) 1
a
Let c be 4*((-399)/(-18) - 22)/((-24)/9 + 1). Let v be ((-1)/5)/(2/(-5)... | {
"pile_set_name": "DM Mathematics"
} |
d) -2
b
Which is the smallest value? (a) 26/159 (b) 0.2 (c) 1/4
a
Which is the fourth biggest value? (a) 1/5 (b) -0.1 (c) -0.2 (d) 1/9
c
Which is the third biggest value? (a) -1/4 (b) 6 (c) -271
c
What is the biggest value in -0.165, 3, -0.2?
3
What is the second smallest value in 2/3, -0.02, 3, 0.008?
0.008
... | {
"pile_set_name": "DM Mathematics"
} |
What is the closest to 0.08 in 1, -6, -4/9, 14/9?
-4/9
What is the closest to 8 in 3/8, 2/5, -10/19?
2/5
What is the closest to -2/7 in -2, -31, -2/5, 2/33, 0.1?
-2/5
What is the closest to -4/25 in -3, 0, -15, -0.2?
-0.2
What is the closest to -5/4 in 0.4, 0.5, -5, -1/178, -1?
-1
What is the closest to -0.11 in -1, 3... | {
"pile_set_name": "DM Mathematics"
} |
0) + (-99 - (25 - 127))?
-33
Calculate (18 + -48 - -35) + 2 - (-5 + 1).
11
What is the value of 2 - (1 + -1 + -2) - 6?
-2
(6 - 1) + (-116 + 92 - (8 - 27))
0
4 - (-23 - (-2 - -11 - (41 + 25 + -43)))
13
Evaluate (-1 - 2) + -21 + (-8 - (-19 + -36 + 25)).
-2
What is 6 - (129 + -57 + -13 + -5 + (-2 - -13))?
-59
What is 1 -... | {
"pile_set_name": "DM Mathematics"
} |
lve -u = -4, 18*b + 3*u - 11 = 17*b for b.
-1
Solve 3*n - 3*j - 6 = 0, 3 - 1 = 3*n - 5*j for n.
4
Solve 37 = 2*t - c + 31, -5*c + 6 = -t for t.
4
Solve -z - 12 = 3*k, -k + 0*z - z - 4 = 0 for k.
-4
Solve 2 = -o + 2*g - 3, 5*o - 2*g = -25 for o.
-5
Solve 3*p - 2*d + 14 = 0, 3*p + 5*d - d + 8 = 0 for p.
-4
Solve -4*i = -... | {
"pile_set_name": "DM Mathematics"
} |
uppose -3*o + 3*s = -9261, -3*s + 2770 = o - 329. What is the hundreds digit of o?
0
What is the hundreds digit of 2/((-20)/15)*-514?
7
Let o = -107 + 109. Suppose 0 = -s + o*y + 12, 4*y + 18 = s + 8*y. What is the tens digit of s?
1
What is the tens digit of 1/((-1226)/614 + 8/4)?
0
Let m be (7/(-14))/(1/(-2)). What i... | {
"pile_set_name": "DM Mathematics"
} |
d smallest value? (a) -1/4 (b) -0.09 (c) -0.5 (d) -1/7
d
What is the third biggest value in 5, 0.0417, 0?
0
What is the second biggest value in -1/2, -2/13, -1/9, -11, 4?
-1/9
What is the smallest value in 294, -2/7, -5, 3/7, 1/3?
-5
Which is the fifth smallest value? (a) 0 (b) -0.1 (c) 3 (d) -0.3 (e) 0.41
c
W... | {
"pile_set_name": "DM Mathematics"
} |
at is p rounded to 3 dps?
0.006
Let t = 177548.213 + -177648. What is t rounded to the nearest ten?
-100
Let w = 31013 + -42368. What is w rounded to the nearest 10000?
-10000
Let w = -0.15 - -0.6. Let t = 53.45 - w. Let x = t - 37.4. What is x rounded to the nearest integer?
16
Let h be (-4)/(-44)*-2 - (-48)/22. Suppo... | {
"pile_set_name": "DM Mathematics"
} |
52. Let z(w) = 2*w + 1. Let y(t) = -x(t) - 52*z(t). What is i(y(r))?
-676*r**2
Let z(s) = -16*s - 44. Let v(x) = 3*x + 8. Let c(q) = -22*v(q) - 4*z(q). Let m(a) = -12*a**2. What is m(c(b))?
-48*b**2
Let u(i) = 3*i**2 - 58. Let w(s) = 12*s + 3*s - 24*s + 8*s. Give u(w(l)).
3*l**2 - 58
Let f(u) be the third derivative of... | {
"pile_set_name": "DM Mathematics"
} |
the closest to -0.2? (a) -3 (b) -1/22 (c) 0.2 (d) -0.2
d
Which is the closest to 0.1? (a) 0 (b) 0.5 (c) -21 (d) -16
a
What is the closest to -0.6 in 1, 3/11, 2, -5?
3/11
Which is the nearest to -0.011? (a) -4 (b) 1/2 (c) -0.2 (d) -1.7
c
Which is the nearest to -3.9? (a) 1.11 (b) 0 (c) 5 (d) -4
d
Which ... | {
"pile_set_name": "DM Mathematics"
} |
ppose -1 = -o*v + 1. Is v - (0 - 4*2) prime?
False
Let h be (-3)/12 - (-1015)/(-20). Let w = h - -146. Is w a composite number?
True
Let l be ((-16)/(-2) + -2)/2. Let t be 25 - ((2 - 3) + l). Is t - (-2 + 2)/(-3) prime?
True
Let l(n) be the first derivative of -n**4/2 + 7*n**2/2 - 6*n + 1. Let c be l(4). Is 2/(208/c - ... | {
"pile_set_name": "DM Mathematics"
} |
erivative of -u**7/945 - u**6/108 - u**5/45 - 210*u**2. Determine a so that c(a) = 0.
-3, -2, 0
Suppose -28 = -6*i - i. Let n be i - (2 + 6)/2. Factor -12/5*l**3 - 2/5*l**5 + 8/5*l**2 - 2/5*l + n + 8/5*l**4.
-2*l*(l - 1)**4/5
Let r(h) = 2*h**2 + 22*h + 56. Let u be r(-4). Let z(b) be the first derivative of 1/5*b**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
/96 + 1/(-3)*-1.
80
Let h(i) = -i**2 - 17*i - 28. Let l be h(-15). Calculate the common denominator of (7/l)/(3/(-33)) and -91/12.
12
Let m(z) = -2*z + 4. Let c(b) = -b + 1. Let u(h) = 11*c(h) - 4*m(h). Let i = -6 + 13. Calculate the least common multiple of u(-4) and i.
7
Let t = 4398/5 + -892. Find the common denomin... | {
"pile_set_name": "DM Mathematics"
} |
*3 - 422*m wrt m.
-6540
Let o(l) = -1288*l - 2458. Let x(v) = -1287*v - 2445. Let j(a) = -4*o(a) + 5*x(a). What is the first derivative of j(s) wrt s?
-1283
Suppose -u - 2*r + 1 = -4, -u + 8 = r. Suppose -3*j + 2*d = -j - 14, j + 5*d - 25 = 0. Find the second derivative of -12*n**3 + 6 + u - j*n - 17 wrt n.
-72*n
Let g... | {
"pile_set_name": "DM Mathematics"
} |
ree letters picked without replacement from amdimbbbmabaggm. Give prob of sequence adg.
1/455
What is prob of sequence llss when four letters picked without replacement from lsllsllllsllllll?
3/140
Four letters picked without replacement from lajxjuj. Give prob of sequence uaxj.
1/280
What is prob of sequence add when ... | {
"pile_set_name": "DM Mathematics"
} |
))/j*j)/(j/(j/j**(-28))))**11)**(-50) assuming j is positive.
j**8250
Simplify (((v/(((((v*v**(-1/4))/v)/v)/v)/v))/v*v)/((v*((v/v**(-2))/v)/v)/v))**(-1/9)*((v*v**(-2/11))**28)**(-15) assuming v is positive.
v**(-136223/396)
Simplify b**19*b*b*b**39*(b*(b/b**(-5/6))/b)/(b/(b*(b/(b**(-37)/b))/b)) assuming b is positive.
... | {
"pile_set_name": "DM Mathematics"
} |
Give g(-23).
-961
Let k(c) = -c**2 - 647*c - 90082. Give k(-444).
50
Let p(l) = -7*l**2 + 1827*l - 64364. Give p(219).
22
Let z(d) = 2748*d**2 + 2484184*d - 7228. Give z(-904).
4
Let l(t) = 130*t - 11037. What is l(80)?
-637
Let n(g) = 102*g**3 - 67218*g**2 + 24*g - 15821. What is n(659)?
-5
Let y(b) = 36*b**3 + 22*b*... | {
"pile_set_name": "DM Mathematics"
} |
-3*q**2*(q - 1)/7
Let k(j) = 0*j**2 + 5*j**2 - 6*j**3 + 3*j**3 + 0*j**3. Let c(b) = -16*b**3 + 26*b**2 + b. Let a(z) = -4*c(z) + 22*k(z). Factor a(m).
-2*m*(m - 2)*(m - 1)
Let b(r) = -2 - r**2 + 3*r + 3 - 9*r**3 - r**4 - 8 + 6*r. Let n(c) = 2*c**4 + 10*c**3 + 2*c**2 - 10*c + 8. Let k(i) = 4*b(i) + 3*n(i). Factor k(g).
... | {
"pile_set_name": "DM Mathematics"
} |
uppose 4*n + 3*k - 6*k = 12, 6 = 2*n + k. Suppose -4*j + 46 = -2*w, n*w - 1 = j - 0*j. Is j a multiple of 7?
True
Suppose 4*p - p - 2*x = -170, -5*x + 236 = -4*p. Let v = p - -80. Is 7 a factor of v?
False
Let y = 38 + 6. Is 12 a factor of y?
False
Suppose 2*i + 70 = 4*i. Is 10 a factor of i?
False
Suppose 5*a - 6 = 2*... | {
"pile_set_name": "DM Mathematics"
} |
g
Let i(y) = -11*y + 45. Let b(a) = -4*a + 22. Determine 5*b(n) - 2*i(n).
2*n + 20
Let f be 8/3*24/16. Let z(p) = 5*p**3 - 6*p**3 + 0*p**2 + f*p**2 - p**2. Let n(u) = -7*u**2 - u**2 + 4*u**2 + 2*u**3. What is -3*n(v) - 4*z(v)?
-2*v**3
Suppose -21*d + 19*d - 300 = 0. Let w = -149 - d. Let l(j) be the first derivative o... | {
"pile_set_name": "DM Mathematics"
} |
th term of -400003, -399998, -399991, -399982, -399971, -399958, -399943?
x**2 + 2*x - 400006
What is the c'th term of -186877, -373753, -560629, -747505?
-186876*c - 1
What is the o'th term of 5441, 21797, 49065, 87245, 136337, 196341?
5456*o**2 - 12*o - 3
What is the p'th term of 665, 5465, 18507, 43913, 85805, 14830... | {
"pile_set_name": "DM Mathematics"
} |
acement from lcci?
1/6
What is prob of sequence lznp when four letters picked without replacement from {q: 1, d: 2, n: 1, l: 1, z: 1, p: 1}?
1/840
Four letters picked without replacement from {z: 3, w: 3, e: 4, x: 4}. Give prob of sequence xwew.
4/1001
Calculate prob of sequence mr when two letters picked without repla... | {
"pile_set_name": "DM Mathematics"
} |
**3 + h*z**2 = 0?
-1, -2/7, 0
Let s = 272/55 - 50/11. Find x, given that 0*x**2 + 2/5*x**3 - 1/5 + 1/5*x**4 - s*x = 0.
-1, 1
Let b(u) = u**3 - 7*u**2 + 8*u + 5. Let d be b(6). Let -1 + 1 - d*j + 3*j**2 + 18*j = 0. What is j?
-1/3, 0
Let d(o) be the second derivative of -8*o**2 + 4*o - 4*o**3 - o**4 + 0 - 1/10*o**5. Fac... | {
"pile_set_name": "DM Mathematics"
} |
order.
4, 1/2, -1/6, -2/11, -1, -565
Put -0.3, -5, -597/5 in increasing order.
-597/5, -5, -0.3
Put 5, 0.4, -3, 2, -26, 4 in descending order.
5, 4, 2, 0.4, -3, -26
Put -3, 0, 10072 in descending order.
10072, 0, -3
Put -1.4, -0.175, 62 in decreasing order.
62, -0.175, -1.4
Put -1, -13064, -3 in descending order.
-1, ... | {
"pile_set_name": "DM Mathematics"
} |
e 2*y = 4*y - 34. Suppose 0 = -19*h + y*h + 28. Calculate the remainder when 55 is divided by h.
13
Suppose 0 = -2*c + 3*c - 9. Let x(k) = -2*k - 6. What is the remainder when ((-8)/(-6))/(2/c) is divided by x(-5)?
2
Let n be (2 + -4 - -4) + 4. Let i(w) = w + 7. Let g = 27 + -19. Calculate the remainder when i(n) is di... | {
"pile_set_name": "DM Mathematics"
} |
emainder when 229699 is divided by 43.
36
What is the remainder when 489 is divided by 142?
63
What is the remainder when 522673 is divided by 33?
19
What is the remainder when 10816 is divided by 102?
4
Calculate the remainder when 1086 is divided by 123.
102
Calculate the remainder when 9653 is divided by 46.
39
Calc... | {
"pile_set_name": "DM Mathematics"
} |
+ 2 = 0. What is the second smallest value in r, -2/5, 0.2?
-2/5
Let s be (-10)/(-3) + (-2)/6. Let r be ((-2)/3)/((-2)/s). Let w be ((-16)/(-132))/(-2 + 8/6). Which is the second smallest value? (a) r (b) 3/8 (c) w
b
Let n = 13 + -10.5. Let c = 2 - n. What is the smallest value in 2/3, c, -1/4?
c
Let u = 859/7980 -... | {
"pile_set_name": "DM Mathematics"
} |
or p.
-6
Solve 14*v - 472 = -23530*g + 23531*g, v + 11*g = 78 for v.
34
Solve 13*u = 2*y + 41, -u = 5*y + 17109314 - 17109312 for y.
-1
Solve 5*q = -6776*o + 6770*o + 142, 15*o + q = 56 for o.
2
Solve -11*l + 7*l - 6*t = 160, -5*l + 117*t - 56*t - 66*t - 210 = 0 for l.
-46
Solve 0 = -6*s - 5*b - 332 + 310, -3*b - b = -... | {
"pile_set_name": "DM Mathematics"
} |
- 5 + 5 - 2*w to the form s*w + r and give r.
-2
Express -i**2 + 83 - 33 - i**2 in the form o*i**2 + z*i + f and give o.
-2
Express (-8*u - 11*u + 3*u)*(6 - 2 - 2)*(5 - 1 - 3) in the form s*u + j and give s.
-32
Rearrange -d**4 + 5*d**3 + 4*d + 3*d**3 - 7*d**3 + d**2 to the form l*d + z + g*d**3 + n*d**4 + f*d**2 and g... | {
"pile_set_name": "DM Mathematics"
} |
- 24*g**2 + 14*g - 109. Let b be c(16). Solve 4*p - 26 = -b for p.
3
Let s = -12 + 17. Let x be 6*(-3 + s) + 4*-1. Solve -x*t + 4*t = 0 for t.
0
Suppose 2*r + 10 = 0, -6*r - 18 = k - 0*r. Suppose -1 = y - 2*y + 3*b, 0 = 4*b - 4. Solve y*i - 4 = -k for i.
-2
Let v = 30153 - 30126. Solve -v*b + 50*b + 69 = 0 for b.
-3
S... | {
"pile_set_name": "DM Mathematics"
} |
- 1. Sort -5, g, -50 in increasing order.
-50, -5, g
Suppose -5*r = -16*r - 44. Suppose 2*t = -t - 9. Sort 0.3, t, 2/13, r in descending order.
0.3, 2/13, t, r
Let x = 26/11 + -41/22. Let a be 2/102*(3 - 0). Let l = 25/153 + a. Put -7, x, l in increasing order.
-7, l, x
Let h = -1197 + 1199. Sort 7, h, 0, -7 in decrea... | {
"pile_set_name": "DM Mathematics"
} |
ify ((y**(-2/21)/y)/y**(-2/7))**(-27) assuming y is positive.
y**(153/7)
Simplify (n**(3/2))**(-36) assuming n is positive.
n**(-54)
Simplify ((s/s**(-5))/s)/(s/((s*s**(-4)*s*s)/s)*s)*s*s**(1/3)*s*s/((s/s**0)/s) assuming s is positive.
s**(13/3)
Simplify n**(-3)/(n/(n/(n/(n*n/n**(1/4))))) assuming n is positive.
n**(-9... | {
"pile_set_name": "DM Mathematics"
} |
(-11). What is the highest common factor of 6 and l?
2
Let c = 7 + 4. Suppose 0 = -3*a + a + 4. Suppose n + 4*n = a*l - 47, -2*l = -3*n - 37. Calculate the greatest common factor of l and c.
11
Let l be (0/23 + (-1)/3)*-33. What is the greatest common divisor of l and 341?
11
Let i be ((-16)/(-6))/(1/45). Let g be 1*i ... | {
"pile_set_name": "DM Mathematics"
} |
= -p**2 + p + 1. Let t(b) = 5*c(b) - r(b). Calculate o(t(m)).
-2*m**2
Let v = 75 + -69. Let s(j) = -2*j. Let c(y) = 2*y. Let b(r) = v*c(r) - s(r). Let p(z) = -2*z. Give b(p(u)).
-28*u
Let k = -202 + 269. Suppose -5*y + 30 = -0*y. Let u(c) = -y*c**2 + k*c - 67*c. Let t(q) = -q. Give t(u(j)).
6*j**2
Let n(a) = -a**2 + 8*... | {
"pile_set_name": "DM Mathematics"
} |
s prob of sequence lqd when three letters picked without replacement from lffqufdqdldvvvfvuldl?
4/855
Calculate prob of sequence ngix when four letters picked without replacement from {n: 1, i: 3, g: 6, s: 1, x: 1, u: 3}.
1/1820
Calculate prob of sequence dbqa when four letters picked without replacement from {a: 3, b:... | {
"pile_set_name": "DM Mathematics"
} |
2*f
Collect the terms in 73*t + 29*t + 57*t - 41*t.
118*t
Collect the terms in -w + 0*w - 5*w.
-6*w
Collect the terms in g - 739 + 368 + 371.
g
Collect the terms in 4*u**2 - 138*u**3 - 4*u**2.
-138*u**3
Collect the terms in c**2 - 49*c - 27*c**3 - 2*c**3 - c**2.
-29*c**3 - 49*c
Collect the terms in 27*k + 20*k - 47*k -... | {
"pile_set_name": "DM Mathematics"
} |
y*t(v) - 3*l(v).
v + 2
Let g(t) = 4*t**3 - 11*t + 42. Let s(m) = m**3 - 4*m + 14. Calculate 4*g(n) - 11*s(n).
5*n**3 + 14
Let w(c) = -14*c**2 - 14*c**2 + 12*c**2 + 16*c**3 + 15*c**3 - 9*c**3. Let d(i) = -5*i**2 + 3*i**2 - 3*i**2 + 7*i**3. Give 16*d(o) - 5*w(o).
2*o**3
Let k(d) = 16*d**3 - 10*d**2 + 10*d. Let a(l) = l*... | {
"pile_set_name": "DM Mathematics"
} |
- 2296*p**2.
p**3 - 2296*p**2 + 1
Collect the terms in 1430042*v - 61 + 129 - 10*v**2 - 68 - 1430042*v.
-10*v**2
Collect the terms in -130*i**3 - 169*i**3 - 138*i**3 - 41*i**3.
-478*i**3
Collect the terms in -208*z + 0*z**2 - 137*z**2 + 179*z.
-137*z**2 - 29*z
Collect the terms in 2375 - 39*q**3 + 5933 + 131*q**3 - 32*... | {
"pile_set_name": "DM Mathematics"
} |
r**(-4))**40)**(-5/4) assuming r is positive.
r**(-3177/16)
Simplify a**(-25)/((a**33/a)/a)*(((a*a/a**(-8)*a*a)/a*a)/a)**(3/2) assuming a is positive.
a**(-79/2)
Simplify ((h**(-1/2)/h)**(-6/11))**(-9)*(h**(-9)/(h/(h**(-3)/h)))**(6/17) assuming h is positive.
h**(-2301/187)
Simplify ((h/(h*(h/((h/(h**(-5)/h))/h)*h)/h)*... | {
"pile_set_name": "DM Mathematics"
} |
r of q and 28.
14
Let o(l) = -3*l + 24. Let m be o(6). Calculate the greatest common factor of 2 and m.
2
Suppose 59 = 4*l + 3. Suppose b + f + 104 = 0, 0 = 2*b + 3*f + 189 + 14. Let r = b - -221. What is the highest common factor of l and r?
14
Let n(q) = -q + 10. Let y be n(8). Suppose 0*f - 32 = -y*f. Let k be (-3*1... | {
"pile_set_name": "DM Mathematics"
} |
0*a + 1/168*a**6 + 0. Find f, given that i(f) = 0.
-1, 2/5
Let y(d) be the first derivative of 50/3*d**3 + 24 + d - 5/12*d**4 - 250*d**2. Let l(g) be the first derivative of y(g). Factor l(a).
-5*(a - 10)**2
Let t(k) be the first derivative of k**3 + 177*k**2 + 10443*k + 1099. Find o, given that t(o) = 0.
-59
Determine... | {
"pile_set_name": "DM Mathematics"
} |
ase 12) to base 10.
7783
What is -4002 (base 8) in base 2?
-100000000010
Convert -20cc0 (base 13) to base 10.
-59306
-736a (base 11) to base 4
-2120130
-2779 (base 14) to base 15
-20e7
What is 15 (base 10) in base 6?
23
Convert 110334 (base 5) to base 11.
2985
Convert 616b (base 12) to base 6.
121015
-101010010000 (bas... | {
"pile_set_name": "DM Mathematics"
} |
d - 4. Let f(i) = 73*i**2 - 29*i + 10. Let k(r) = 2*f(r) + 5*g(r). Find the second derivative of k(j) wrt j.
-78
Let b(c) be the first derivative of -13/4*c**4 + 0*c**3 + 0*c**2 - 10*c + 6. Differentiate b(z) wrt z.
-39*z**2
What is the third derivative of -110*n - 87*n + 93*n**3 - n**4 + 197*n - 451*n**2 wrt n?
-24*n ... | {
"pile_set_name": "DM Mathematics"
} |
iple of 9?
True
Does 10 divide 285450?
True
Does 7 divide 583107?
True
Is 53 a factor of 36347877?
True
Is 4 a factor of 187228?
True
Is 102960 a multiple of 10?
True
Is 3 a factor of 571827?
True
Is 2156068 a multiple of 4?
True
Is 65 a factor of 82810?
True
Is 13 a factor of 601900?
True
Is 1921128 a multiple of 152?... | {
"pile_set_name": "DM Mathematics"
} |
ime factors of 100324364.
2, 7, 511859
What are the prime factors of 183576411?
3, 20397379
List the prime factors of 1459984053.
3, 11, 5107, 8663
What are the prime factors of 2151171673?
7, 83, 3702533
List the prime factors of 85821322.
2, 42910661
List the prime factors of 71833765.
5, 379, 37907
What are the prim... | {
"pile_set_name": "DM Mathematics"
} |
ultiple of 54 and 162.
162
What is the common denominator of 35/8 and -1/43?
344
Calculate the least common multiple of 9 and 66.
198
Find the common denominator of 8/9 and -71/33.
99
Calculate the common denominator of -5/294 and -7/11.
3234
Calculate the common denominator of -5/237 and 1/4.
948
What is the lowest co... | {
"pile_set_name": "DM Mathematics"
} |
047011?
6047005
In base 2, what is -101111001100001011100101 + 10?
-101111001100001011100011
In base 5, what is 2 - -1041303302?
1041303304
In base 8, what is 0 + -17034633?
-17034633
In base 3, what is 222202001010022 - 1?
222202001010021
In base 13, what is bb67c - 88b?
baac1
In base 6, what is -23 - -11131141035?
11... | {
"pile_set_name": "DM Mathematics"
} |
.
23
Rearrange (-3*d + 4*d + d + (1 + 1 - 3)*(d - 4 + 4) - 4*d + d + d + 0*d - 2*d + 6*d + (-3 - 1 + 6)*(-d + 0 + 0))*(-2 + 2 - d) to n + k*d + s*d**2 and give s.
-1
Express 1 + 6*q + 0 - q - 25*q**2 + 24*q**2 as b + r*q**2 + w*q and give w.
5
Express r - 596*r**4 + 1 - 3*r**3 + 595*r**4 + 5*r**3 in the form q*r**2 + m... | {
"pile_set_name": "DM Mathematics"
} |
e of 1/(-1)*-1*(-4)/(-1)?
4
What is (-6)/(-8)*2/(-3)?
-1/2
What is (6/(-10))/(1143/(-2540))?
4/3
What is ((-12)/2*(-1)/(-3))/2?
-1
Evaluate 3/(-78)*-2*-2.
-2/13
Calculate -21*17/(-1428)*8/7.
2/7
Calculate ((-12)/168)/1*-6.
3/7
Evaluate ((-798)/(-112))/(-19)*(-2)/1.
3/4
-12*(-36)/45*(-10)/(-12)
8
(-2)/(-18)*12/2
2/3
Eva... | {
"pile_set_name": "DM Mathematics"
} |
vative of z**5/60 - 5*z**4/24 - 5*z**3/3 + 2*z**2. Let b be s(-7). Let k = b + -48. Is k a multiple of 9?
False
Let d = 13 + -12. Suppose -17 - d = -2*b. Does 4 divide b?
False
Suppose 0*q - 2 = -q. Let v(f) = 2*f**2 - 2. Let l be v(q). Is 14 a factor of l/(-9)*3 + 24?
False
Let j = 8 + -5. Does 15 divide j - 1*(-2 + -... | {
"pile_set_name": "DM Mathematics"
} |
d*a, a = -5*m - 17. Let x(y) = 17*y**2 + 4*y - 1. List the prime factors of x(m).
2, 5, 7
Let b = -5551 + 9428. What are the prime factors of b?
3877
Suppose 9*u - 44808 = -16233. Let x = 4654 - u. List the prime factors of x.
3, 17, 29
Suppose -1794 = -3*f - 2*d + 1915, -2*d = f - 1231. Let t = -492 + f. List the prim... | {
"pile_set_name": "DM Mathematics"
} |
t for t.
2
Solve -o - 23 = 5*q, o = -0*q - 3*q - 13 for q.
-5
Solve 0 = t + 3*g + 10, t = -t + 4*g for t.
-4
Solve 3*g + 3*y = 15, 5*y = -3*g - 19 + 34 for g.
5
Solve -m - 2*k - 3 + 10 = 0, 5*m - 23 = -4*k for m.
3
Solve -5*s = 5*y + 10, -1313*s = 2*y - 1310*s + 4 for y.
-2
Solve -38*m + 4 = -36*m, 2*q + 8 = 3*m for q.... | {
"pile_set_name": "DM Mathematics"
} |
be q(2). Solve 13 - 1 = 4*x - 5*y, -12 = m*x + y for x.
-2
Let q = 33 - 29. Suppose 5*l + 5 = q*h, -h - 7 = l - 3*h. Suppose -4*p = -l*k + 20, -4*k + 0*p - 10 = 2*p. Solve -5*j + 19 = -z, k*z = 3*j + z - 13 for j.
4
Let s = 33 + -30. Let g be (162/30 - 5)/(s/30). Solve 5*v = 2*l - 11, -v - g*v - 15 = 0 for l.
-2
Let f... | {
"pile_set_name": "DM Mathematics"
} |
- 2*c**2 - 4)*(-4 + 4 - c**3).
6*c**5
Expand (4*o**2 + 0*o**2 - 3*o**2)*(18 + 20 - 51).
-13*o**2
Expand (-11 + 11 - 3*i**2)*(-3 + 6 + 0 + (-2 + 2 - 2)*(-1 - 2 + 0)).
-27*i**2
Expand (-3*i**2 + 5*i**2 - i**2)*(-3 + 5 - 3) + 2*i**2 - 2*i + 2*i + 2*i**2 + i - i + i - i - i**2 + 2*i**2 + i**2 - 4*i**2.
i**2
Expand (-2*p**... | {
"pile_set_name": "DM Mathematics"
} |
Let h(k) = 2*f(k) + 3*n(k). Determine 5*h(d) + 3*r(d).
-d**2
Let m(y) = -4*y**3 + 7*y**2 + 18. Let n(b) = 2*b**3 - 3*b**2 - 8. Let q(h) = 4*m(h) + 9*n(h). Let f(r) = 5*r**3 + 2*r**2. Give -6*f(p) + 13*q(p).
-4*p**3 + p**2
Let k(v) = 4*v**2 + 3*v - 2. Let i(y) be the first derivative of -5*y**3/3 - 2*y**2 + 3*y - 12. Wh... | {
"pile_set_name": "DM Mathematics"
} |
11*n + 3. Let g be l(11). Which is smaller: g or c?
c
Let b be (-8 - 0) + 7 - 6/(673128/(-112180)). Which is smaller: b or 0?
b
Let h = -337801/59 - -5721. Are -4 and h equal?
False
Suppose 0 = -3*y + 5*c - 1131, -c = -5*y - 509 - 1398. Do -0.2 and y have the same value?
False
Let j be ((-2)/(-36))/((-9)/(-6)). Let v(... | {
"pile_set_name": "DM Mathematics"
} |
34?
v - 39
What is the f'th term of 42, 45, 58, 87, 138, 217, 330, 483?
f**3 - f**2 - f + 43
What is the m'th term of -826, -812, -784, -736, -662?
m**3 + m**2 + 4*m - 832
What is the s'th term of 40, 47, 54, 61, 68, 75?
7*s + 33
What is the v'th term of -495, -992, -1489, -1986, -2483?
-497*v + 2
What is the k'th term... | {
"pile_set_name": "DM Mathematics"
} |
t v be (180/48)/((-2)/(-8)). Let p be v/10*(3 - 1). Factor 1 - 3*z**2 - 4 + p*z + 3.
-3*z*(z - 1)
Let z(b) = 18212*b**4 - 11624*b**3 + 2176*b**2 - 80*b. Let k(y) = 6071*y**4 - 3874*y**3 + 725*y**2 - 27*y. Let h(c) = 16*k(c) - 5*z(c). Let h(s) = 0. What is s?
0, 2/31, 2/7
Let q(c) be the second derivative of 2*c**7/21 +... | {
"pile_set_name": "DM Mathematics"
} |
4. Which is the closest to -8/3? (a) 0 (b) k (c) -4/3
c
Let r = 970 + -970. Which is the nearest to 2/9? (a) 2/19 (b) -4 (c) 0.2 (d) r
c
Let f = 0.4 - 0.1. Let x = -650 + 650. Let u be ((-9)/30)/(30/40). Which is the closest to u? (a) f (b) -3 (c) x
c
Let z = 155.2 - 185. Let b = -30 - z. What is the nearest ... | {
"pile_set_name": "DM Mathematics"
} |
se
Which is smaller: -1 or 13/8559?
-1
Which is smaller: 50355 or 50354?
50354
Is -68 at most 42?
True
Which is smaller: 1233/1673 or 1?
1233/1673
Which is greater: 18001/7 or 2573?
2573
Are 373 and -223/7 unequal?
True
Which is bigger: -3252 or -3259?
-3252
Is -713/109 <= -6?
True
Is 7 smaller than 103347?
True
Which ... | {
"pile_set_name": "DM Mathematics"
} |
+ 21*q - 6*q**2).
-36*q**3
Expand (3*h + 8*h + 22*h)*(-614*h**2 + 1 + 610*h**2 + 0).
-132*h**3 + 33*h
Expand (-45*w**3 - 13*w**3 - 27*w**3)*(3 - 4 + 1 - 6*w) + (3*w**3 + 2*w**3 - 3*w**3)*(-1 + 1 - 5*w) + 1 - 1 + w**4.
501*w**4
Expand (282 + 4942*b - 131 - 151)*(b**3 - 3*b**3 + 0*b**3).
-9884*b**4
Expand 6*f + 2*f + 0*... | {
"pile_set_name": "DM Mathematics"
} |
((sqrt(30)/(-2*sqrt(10)))**2 - sqrt(48)*-6).
11/4 + 24*sqrt(3)
Simplify (1 + sqrt(117) + -3)**2.
-12*sqrt(13) + 121
Simplify (5*(sqrt(2299) + -1 + 5 + -5))**2.
-550*sqrt(19) + 57500
Simplify (sqrt(77)*2)/sqrt(7) + -1.
-1 + 2*sqrt(11)
Simplify (-5 + sqrt(7) + 2 - sqrt(7))*-3.
9
Simplify (-4*4*(sqrt(2)*-2*-4 - (-1 + sqr... | {
"pile_set_name": "DM Mathematics"
} |
t replacement from njednzeddzeddyd?
6/455
What is prob of picking 2 t and 1 p when three letters picked without replacement from {p: 1, t: 3, v: 1}?
3/10
What is prob of picking 2 s when two letters picked without replacement from {a: 3, n: 4, s: 6}?
5/26
Three letters picked without replacement from {x: 7, f: 5}. Give... | {
"pile_set_name": "DM Mathematics"
} |
-22.4. Let o = 2.43 + l. Let f = -0.13 - o. Which is the biggest value? (a) f (b) 1/7 (c) 5
c
Let g = -0.332 - 2.668. What is the smallest value in -0.1, g, 0.03, -5?
-5
Let h = 297 + -296.6. Suppose v + 0*v + 14 = 5*r, 2*v = -r + 5. Which is the third biggest value? (a) h (b) -0.38 (c) v
b
Let v = -45 - 9. Let b... | {
"pile_set_name": "DM Mathematics"
} |
actor c**2/3 - 16634*c + 207517467.
(c - 24951)**2/3
Determine y, given that -5*y**3 - 7195*y**2 - 2641520*y - 38020800 = 0.
-712, -15
Factor -5*k**4 - 515*k**3 - 3410*k**2 - 4800*k.
-5*k*(k + 2)*(k + 5)*(k + 96)
Find r, given that 3*r**2 - 5607*r + 149202 = 0.
27, 1842
Determine x, given that -x**4 + 515*x**3 - 68078*... | {
"pile_set_name": "DM Mathematics"
} |
6*x for l.
2
Suppose x = 3*o - 14, 5*o - 66*x - 20 = -65*x. Solve 0 = -o*b + 3, -d - 4*b - 241 = -248 for d.
3
Let l be ((-120)/(-140))/((-10)/(-35)). Solve l*j - 6*u = -2*u - 24, 4*j + 2*u + 10 = 0 for j.
-4
Let i be 50/20*(-16)/(-10) + 0. Let z = 12 + -10. Solve i*d - 3*x = 16, -4*x + 5 - 13 = -z*d for d.
4
Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
Let p = 0.106 - 105.106. Let q = p + o. Round q to 2 dps.
0.29
Suppose 17*s - 2572500 = 38*s. What is s rounded to the nearest one hundred thousand?
-100000
Let u = 1.43 + -1.4. Let j = 0 - u. Let l = -0.0325 - j. What is l rounded to three decimal places?
-0.003
Let w = 0.0363984 + -232688.0363984. Let j = -232691.399... | {
"pile_set_name": "DM Mathematics"
} |
t**5 + 2*t**5 + 2*t**5 - 2*t + 2*t + (3*t + 2*t - 3*t)*(2*t**4 - 5*t**4 + 4*t**4).
62*t**5
Expand (0*z**2 - 6*z**2 + 3*z**2)*(-3 + 3 - z)*(189 - 390 + 188).
-39*z**3
Expand (45 + 81 - 18)*(-2 - 2*y + 2).
-216*y
Expand (-120 - 10*p**2 + 263 - 133)*(3 + 0*p + 0*p - p).
10*p**3 - 30*p**2 - 10*p + 30
Expand (-10*t**4 + 11*... | {
"pile_set_name": "DM Mathematics"
} |
-0.26, -0.3
Put -1923, 5, 11 in ascending order.
-1923, 5, 11
Sort 797, 0.1, -14 in descending order.
797, 0.1, -14
Sort 3/14, -0.3, 2, 5, 4, 0.24 in decreasing order.
5, 4, 2, 0.24, 3/14, -0.3
Sort 15, -3, -113, -13, 4 in descending order.
15, 4, -3, -13, -113
Put -164, -38, -13 in decreasing order.
-13, -38, -164
So... | {
"pile_set_name": "DM Mathematics"
} |
r n.
-2
Let n = -352 - -354. Suppose 4 = 3*k - u + 2*u, -6 = -4*k - u. Suppose -w + a = 3, k*a - 4 = 3*w - 0*a. Solve 11 = -4*z - 3*f, -n = w*z + f + 5 for z.
-5
Suppose 0 = j + 3 - 1. Let x be 2 - (-74)/j - 3. Let v = x + 46. Solve 2*g = 3*h - 4, 10 = -v*g + 3*g - 4*h for g.
-2
Suppose 5*y - 2*s = 3*s + 15, -5*s + 12 ... | {
"pile_set_name": "DM Mathematics"
} |
acement from tfhfhcin.
1/28
Calculate prob of picking 1 h, 1 f, and 1 q when three letters picked without replacement from eqfreeheeeqrhrffer.
1/68
What is prob of picking 3 k when three letters picked without replacement from {r: 1, k: 3}?
1/4
Calculate prob of picking 1 q and 1 f when two letters picked without repla... | {
"pile_set_name": "DM Mathematics"
} |
many nanoseconds are there in seven quarters of a microsecond?
1750
How many months are there in 412567.5 years?
4950810
How many millilitres are there in three fifths of a litre?
600
How many nanograms are there in 2839.258ug?
2839258
How many seconds are there in 833.7542ms?
0.8337542
Convert 943578.1mm to micromete... | {
"pile_set_name": "DM Mathematics"
} |
11)/5)?
3/11
Evaluate 13/((-104)/20)*4/10.
-1
Evaluate (-20)/15*3/2.
-2
Calculate 1/5*-1*78/26.
-3/5
What is the value of ((-16)/40)/((-33)/15)?
2/11
Evaluate 52/(-13)*(-12)/(-8).
-6
Evaluate 2*-1*(-4)/24*1.
1/3
Evaluate (65/13)/((-2)/((-12)/5)).
6
5*(-5)/(25/(-5))
5
Calculate -6*1*5/(-10*5).
3/5
-9*(44/462)/((-2)/(-14... | {
"pile_set_name": "DM Mathematics"
} |
-132*sqrt(19) + 2334
Simplify 2 + sqrt(63)/(sqrt(9) - sqrt(576)*2).
-sqrt(7)/15 + 2
Simplify ((sqrt(450) - sqrt(18))*-5 - (3 + -2 + sqrt(18)))**2.
126*sqrt(2) + 7939
Simplify 1*sqrt(76) - ((sqrt(684))**2 + sqrt(19) + 5).
-689 + sqrt(19)
Simplify (sqrt(252) - (sqrt(252) + 0))**2*-4.
0
Simplify (sqrt(3500) + -2*sqrt(3500... | {
"pile_set_name": "DM Mathematics"
} |
w*g**2 + b*g and give o.
-5126
Express (8 + 54*t**3 - 1 + 52*t**3 - 6)*(-2644 + 15*t + 2644) in the form q*t**2 + i*t + v*t**3 + h + n*t**4 and give n.
1590
Rearrange -3*p**4 + p**4 + 3*p**4 + (-11 + 2 - 6)*(-4 - 2 + 4)*(9*p**4 + 9*p**4 - 28*p**4) to the form b + o*p + c*p**4 + w*p**3 + k*p**2 and give c.
-299
Express... | {
"pile_set_name": "DM Mathematics"
} |
3. Suppose 6 - 18 = -4*y, 4*i = -3*y + 29. What is m(i)?
-8
Let n(p) be the first derivative of 2*p**3/3 + 3*p**2 - 10*p + 354. Determine n(-7).
46
Let b(c) be the first derivative of c**3/3 + c**2 + 2*c - 22. Let w be (-231)/35 + (-4)/10. Let p = w - -5. What is b(p)?
2
Suppose 4*h - 2*h + 44 = 0. Let g = -15 - h. Let... | {
"pile_set_name": "DM Mathematics"
} |
imal places.
14
Let z = -5154.14 + 5113. Let g = -41 - z. Round g to 1 decimal place.
0.1
Let s = 507019637.80849 - 5515.80849. Let g = -507014100.00000028 + s. Let f = g - 22. Round f to seven dps.
-0.0000003
Let t = -30 - -35. Suppose t*n - 6336 - 13164 = 0. What is n rounded to the nearest one thousand?
4000
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
lculate prob of picking 1 m and 1 e when two letters picked without replacement from {m: 3, z: 5, e: 3}.
9/55
Three letters picked without replacement from tttttktkt. What is prob of picking 1 t and 2 k?
1/12
Two letters picked without replacement from gzzpaapzpzza. Give prob of picking 2 a.
1/22
Three letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
9*k**2/2 - 139. Let p = -7 + 29. What is p*r(q) - 2*a(q)?
-4*q
Let d = 13731 + -13735. Let s(a) = 4*a**2 - 2*a - 4. Let o(m) = -m**2 - m - 1. What is d*o(u) + s(u)?
8*u**2 + 2*u
Let l(r) = 4*r + 9. Let t(d) = 6*d + 14. Suppose -1157*n = -1162*n + 35. What is n*l(p) - 5*t(p)?
-2*p - 7
Suppose -59 - 254 = 84*z - 61. Let ... | {
"pile_set_name": "DM Mathematics"
} |
= 4*l**2 + 1. Let u be z(-1). Suppose 0 = -u*d - 2*j + 48, 8 = 4*d - 3*d + 2*j. Solve 3*t - q - d = 0, 0*t - 3*t - 5 = -4*q for t.
5
Let d = 9 + -23. Let y = d + 17. Suppose 5*v = 3*v. Solve v = -y*p + 6, l - 3*p = p - 11 for l.
-3
Let r(b) = -9*b + 48. Let c be r(5). Let n be 2/(-6)*(-3 - 18/c). Solve k - 2*k + 17 = ... | {
"pile_set_name": "DM Mathematics"
} |
by 22164.
-7/11082
What is 40 divided by 513?
40/513
What is 5 divided by 36726?
5/36726
Divide 4 by 5346.
2/2673
What is 83990 divided by 1?
83990
Divide 49 by 270.
49/270
Divide -358056 by 9946.
-36
Calculate -11024 divided by -13.
848
1384884 divided by -153876
-9
2322 divided by 62
1161/31
Calculate 978 divided by ... | {
"pile_set_name": "DM Mathematics"
} |
?
44.29537
Work out -5899035 - 10.
-5899045
What is 37 less than 925662?
925625
Put together -1.08675 and -0.051.
-1.13775
Work out -0.3 - -6961824.
6961823.7
What is -377219730 minus -0.1?
-377219729.9
Calculate -156365747 + 0.1.
-156365746.9
What is -1475 less than 0.11075?
1475.11075
Calculate -441077 + 46.
-441031
... | {
"pile_set_name": "DM Mathematics"
} |
3, 5, 1?
-1.3
Which is the closest to -6/11? (a) -119 (b) -0.1 (c) 0.2
b
Which is the closest to -1/4? (a) -50 (b) 2/7 (c) -12/13 (d) -10 (e) -3
b
Which is the nearest to -1/6? (a) 4 (b) 1 (c) -2 (d) 2/7 (e) 0.2
e
What is the nearest to 0 in -0.2, -3, 31, 0.015?
0.015
Which is the closest to -0.04? (a) 3 ... | {
"pile_set_name": "DM Mathematics"
} |
*b**2 - 6*b + 2 - 516*b**2 + 2*b. Let g(x) = -4*x**2 - 9*x + 3. Let y(s) = w*p(s) - 2*g(s). Factor y(i).
-2*(i - 1)*(i + 2)
Let p(i) be the first derivative of -6*i**4 + 300*i**3 - 5625*i**2 + 46875*i - 2208. Determine m, given that p(m) = 0.
25/2
Let n be (1 + -5)*(-7230)/(-120). Let x = -1203/5 - n. Factor 0*k - x*k*... | {
"pile_set_name": "DM Mathematics"
} |
-13*z - 22*z + 28*z - 19, 5*g - 3*z = 4 - 0 for g.
-1
Solve 3*x - 6*x + 33 = 0, -x + 2 = -24*w + 25*w + 2*x - 34 for w.
3
Solve 11*q + g - 19 = 23*q - 17*q + 14, 8*g = 64 for q.
5
Solve -6*o + 498742*q - 498673*q = -231, 0 = -o - 5*q - 11 for o.
4
Solve 1268*n + y - 84 = 1286*n, -2*y = 4*n - 60 + 12 for n.
-3
Solve j +... | {
"pile_set_name": "DM Mathematics"
} |
- 5*f + 21 = -4*g. Calculate b(g).
22
Let l(a) = -6*a + 7. Let t(o) = 5*o - 7. Let s = -72 + 68. Let m(c) = s*t(c) - 3*l(c). Determine m(5).
-3
Let l = 15 + -10. Let x(h) be the first derivative of -h**2 - 2*h + 2. Let g(f) = 5*f + 7. Let u(c) = -3*g(c) - 8*x(c). Give u(l).
0
Let b(a) = a**2 + 13 - 19 + 25*a**2 - 5*a.... | {
"pile_set_name": "DM Mathematics"
} |
10))/((-6)/(-27)).
19
What is (-3)/(-2)*2/((-5)/(10/9))?
-2/3
What is (24/5)/((-120)/(-5200)*-13)?
-16
What is the value of (-32)/((-2688)/(-105)) - ((-35)/(-12))/(-5)?
-2/3
-1035 - -1049 - (-209)/(-15)
1/15
What is the value of (3640/490)/(-13) - 104/14?
-8
12 + (-20 - -2) + 14
8
Calculate 19/190 - 162/(-180).
1
((-20... | {
"pile_set_name": "DM Mathematics"
} |
3 - 2698. Give l(p(n)).
48*n**2 + 42
Let v(l) = -54*l**2 + 21*l. Let k(h) = 11420*h**2. Calculate v(k(b)).
-7042485600*b**4 + 239820*b**2
Let g(u) = -395332034*u**2. Let j(x) = x. Calculate g(j(w)).
-395332034*w**2
Suppose -4*t + 39 = 5*x + 2, -3*t + x = -4. Let c(f) = -t*f + 2*f + 4*f. Let i(d) be the third derivative... | {
"pile_set_name": "DM Mathematics"
} |
1.33 + m. What is u rounded to one dp?
-0.7
Let j = -213.55657 + 268.55657465. Let g = -55 + j. Round g to 7 dps.
0.0000047
Let r = 4170.49 + -4368. What is r rounded to the nearest ten?
-200
Let x = 0.3352 - 151.1602. Let t = -0.175 + x. Let r = t - -151.000000252. What is r rounded to seven dps?
0.0000003
Let w = -3.... | {
"pile_set_name": "DM Mathematics"
} |
0 in descending order.
0, -2, -5/2, -11/3, -19
Put 3, -2, 24, 4, -1 in descending order.
24, 4, 3, -1, -2
Put -1, 3, -3, -71, 6 in decreasing order.
6, 3, -1, -3, -71
Sort -92/5, -0.1, -1/9 in descending order.
-0.1, -1/9, -92/5
Sort -1, -44, 3/5, 0.4 in decreasing order.
3/5, 0.4, -1, -44
Put -3, -1, 4, 123 in ascend... | {
"pile_set_name": "DM Mathematics"
} |
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