text stringlengths 270 8.19k | meta dict |
|---|---|
= 29 + -26. Suppose -2*v + 5 = -h*v. Let x(r) = 4*r - r**2 + 5 + 2*r + 8. Let w(s) = -s**2 + 4*s + 9. Determine v*x(l) + 7*w(l).
-2*l**2 - 2*l - 2
Let m(z) = 15*z**2 + 7*z + 7. Let g(t) be the first derivative of 8*t**3/3 + 3*t**2/2 + 3*t + 163. Calculate 7*g(w) - 3*m(w).
11*w**2
Let g(x) = -2*x**2 - 1. Let w(f) = 1099... | {
"pile_set_name": "DM Mathematics"
} |
3 prime?
True
Is 2302969 prime?
True
Is 41140867 a prime number?
False
Is 55553567 composite?
False
Is 30188783 a prime number?
True
Is 34349351 a prime number?
True
Is 14683829 a prime number?
False
Is 1894439 composite?
False
Is 31175503 a prime number?
True
Is 12415135 prime?
False
Is 14249929 composite?
False
Is 26... | {
"pile_set_name": "DM Mathematics"
} |
(15/2)/(d/(-30)).
23
Let b(v) = 3*v**3 + 24*v**2 - 18*v + 9. Calculate the remainder when 631 is divided by b(-7).
67
Let c = -25 - -11. Suppose 0 = 2*z - 4*h - 78, 3*z + 5*h = 2*h + 90. Let o = z + c. What is the remainder when o is divided by 8?
3
Suppose 0*l = -9*l + 324. Suppose -32*t + l*t = 16. Let u = 7 - -3. Wh... | {
"pile_set_name": "DM Mathematics"
} |
8*g, -5*g + 37 = 2*u. Suppose -3*p - s = -u, 0 = -p + 5*s + 11 + 7. Solve -3*w + p*k = -k - 23, 2*k = -w - 9 for w.
1
Let f(g) = 2*g**2 + g - 10. Let q be f(-3). Solve 1 = -t + b - q, -4*b = 5*t + 3 for t.
-3
Suppose -4*v = 2*f + 40, -4*f = f + 5*v + 80. Let b = f + 17. Solve i - 3*p + 9 = 22, -b*i = 2*p - 14 for i.
4... | {
"pile_set_name": "DM Mathematics"
} |
*i + i + 0*i).
-i**2 + 3*i
Expand -3*q + 3*q + 4*q**2 + (4 - 4 + 5 + (7 - 3 - 2)*(-2 - 5 + 5) + 1 + 2 - 5)*(-q**2 - 2*q**2 + 5*q**2).
2*q**2
Expand (-1 + 3 - 3)*(2*f - 7 + 7) + (-4 + 1 + 0)*(0*f - 2*f + 4*f).
-8*f
Expand (3 - 3 - 2)*(-2*w**2 + 5*w - 5*w)*(1 - 2 + 0).
-4*w**2
Expand (-2*l - 3*l + 3*l)*(-3 - 7 + 4) - 3*l... | {
"pile_set_name": "DM Mathematics"
} |
and give s.
-1
Rearrange (-r - 5*r + 5*r)*(-1 + 2 - 3) + (r - 3*r - 4*r)*(-1 - 6 - 2) to the form h*r + n and give h.
56
Rearrange (199*n**2 + 18*n**3 - 199*n**2)*(-5*n + 17 - 17) to o + i*n**2 + t*n**4 + v*n**3 + c*n and give t.
-90
Rearrange -7*q + 6*q**2 + 10*q + 4*q + 1 to w + y*q**2 + s*q and give s.
7
Rearrange 1... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*b = 9 for t.
3
Suppose 4*z = -16, -c - z - 4*z = 16. Suppose -c = -6*t + 5*t. Suppose -4*p = -5*n - 0*n - 36, -p + 20 = -t*n. Solve x + 3*u = -p - 3, x + 5*u = -9 for x.
-4
Let t be -5 + 6 + -2 + 3. Solve 4*r = 3*l - 1 - t, 5*l = 3*r - 6 for l.
-3
Suppose 7 - 31 = -3*p. Suppose -p = -3*j - 5*r, 3*j = -5*r + 3*r + 5... | {
"pile_set_name": "DM Mathematics"
} |
e nearest to g in 2, q, k?
k
Let w be 4/(-6) - 14/6. Let r be 14/12 - 1/(-4). Let m = r + -3/4. Which is the closest to m? (a) w (b) 4/3 (c) 3
b
Let i be (-4)/(-3)*(-147)/70. Let o = -51/20 - i. What is the nearest to 0.1 in 0.2, o, -6?
0.2
Let n be (-5)/(-3) - 2/(-6). Suppose -2*q + n = -3*q. Let o = -28.2 - -28.6.... | {
"pile_set_name": "DM Mathematics"
} |
Factor -2*q**2 - 474*q - 10972.
-2*(q + 26)*(q + 211)
Suppose -c**4/3 + 7*c**3/3 + 81*c**2 - 259*c/3 - 494/3 = 0. Calculate c.
-13, -1, 2, 19
Suppose 2*w**5/11 - 12700*w**4/11 - 88988*w**3/11 - 63584*w**2/11 + 88986*w/11 + 76284/11 = 0. Calculate w.
-6, -1, 1, 6357
Determine v so that 2*v**3/13 + 6438*v**2/13 + 5235270... | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when 67 is divided by i(-12).
3
Let u be 0 + 0 - (0 + -2). Suppose 0 = u*p - 7 - 9. Let i = 777 + -756. Calculate the remainder when i is divided by p.
5
Suppose d + 0*d - 47 = 5*s, 2*s - 124 = -3*d. Let l = -26 + d. What is the remainder when 62 is divided by l?
14
Suppose 7*b - 3*b + 32 = 0. L... | {
"pile_set_name": "DM Mathematics"
} |
What is 3 (base 11) in base 5?
3
Convert -23 (base 7) to base 13.
-14
1 (base 15) to base 14
1
What is 1 (base 2) in base 4?
1
40 (base 9) to base 16
24
What is c1 (base 13) in base 7?
313
Convert -1 (base 14) to base 9.
-1
19 (base 15) to base 6
40
What is 116 (base 9) in base 10?
96
3 (base 10) to base 4
3
What is -2... | {
"pile_set_name": "DM Mathematics"
} |
5). Let t(x) = 2*x + 3. Let w be t(i). What is the greatest common factor of w and 22?
11
Let f be -13 - ((-2)/1 - -4). Let z be (f/6)/(2/(-72)). Calculate the highest common factor of z and 10.
10
Suppose -r - 2*r - 228 = 0. Let m = -49 - r. What is the highest common divisor of m and 9?
9
Let i = -47 + 65. Let m(z) =... | {
"pile_set_name": "DM Mathematics"
} |
pose 12*p - 55 = 77. Suppose 8 - p = -3*q. Solve 2*g - 9 + q = 0 for g.
4
Let n(v) = v**2 + 5*v - 48. Let y be n(-10). Solve 0 = -y*d - 7 + 13 for d.
3
Suppose 4*o + 168 - 16 = 0. Let h = -33 - o. Solve 4 = h*r - 16 for r.
4
Suppose -b + 115 = -4*g, -130 = -5*b + 4*b + g. Let w be b/18*8/3. Suppose 2*h - 3*n - w = 0, -... | {
"pile_set_name": "DM Mathematics"
} |
hat is y rounded to 6 dps?
-0.001077
Let g = 2509680 - 2509694.40487. Let d = -185.4 - -171. Let k = d - g. What is k rounded to 4 dps?
0.0049
Let q = 197194940 + -197195832.76027. Let d = q + 921.7602645. Let w = d + -29. What is w rounded to 6 decimal places?
-0.000006
Let p be (-52132)/10*(-15)/6. Suppose -3*r - q -... | {
"pile_set_name": "DM Mathematics"
} |
st value? (a) z (b) f (c) 5
b
Let u = 0.601 + 4.399. Which is the third biggest value? (a) u (b) 1 (c) 5/7
c
Let h = -60.19 + 1.19. Let c = h - -59.5. What is the biggest value in -5/3, -0.5, c?
c
Let p = 105.72 + -106. What is the second smallest value in -3, -2, p?
-2
Let g = -82 - -82.3. What is the second big... | {
"pile_set_name": "DM Mathematics"
} |
u, s, 5
Let l = 83/65 - 27/13. Let p(j) be the second derivative of -j**5/20 - 7*j**4/12 - j**3/6 - 7*j**2/2 + 3*j. Let c be p(-7). Sort 5, l, c in decreasing order.
5, c, l
Let f = -176.6 + 177. Put 1/28, 3, f in descending order.
3, f, 1/28
Let h(j) be the third derivative of j**4/12 - 8*j**3/3 - 12*j**2. Let q be h(... | {
"pile_set_name": "DM Mathematics"
} |
z be j(-2). What is the closest to 0.2 in z, -2, o?
o
Let n = -1857 + 1306. Let g = n + 551.4. Which is the closest to -2? (a) 4 (b) 0 (c) g
b
Suppose -2*r - 81 = g, -r + 8*g - 7*g = 42. Let w = 124/3 + r. Let b = 0.3 - -0.2. What is the nearest to w in -3, b, 1?
b
Let p = -58 + 114. Let t = -56.1 + p. Which is the... | {
"pile_set_name": "DM Mathematics"
} |
-9))**40 assuming v is positive.
v**(-5846400)
Simplify (((o**(-2)/o*o)/o**(2/17))/(o**1)**(2/5))/((o/(o**(-6)/o))/o**(2/9))**(5/8) assuming o is positive.
o**(-22579/3060)
Simplify ((y**0*y)/y*y*y*y**5*y**(-8)/(y*y*y*y**(-2/13)*y*y))/((y**2)**(-14/5)*(y*y**(-2/17))/y**(-2)) assuming y is positive.
y**(-3457/1105)
Simp... | {
"pile_set_name": "DM Mathematics"
} |
- 126/26)
2/13
What is the value of ((-33)/(-165))/(4/5)?
1/4
What is the value of 5/25 - (2 - 14/10)?
-2/5
Calculate 4/(28/35) + 10/(-2).
0
What is the value of ((-2)/3)/(-1) + (-49)/(-21)?
3
(-825)/10*(-8)/228 + -3
-2/19
Evaluate (-4 - 2)*(-170)/(-102) + 2.
-8
(-57)/152*10/3
-5/4
15/9 - (-7)/21
2
Evaluate (-112)/(-64... | {
"pile_set_name": "DM Mathematics"
} |
t to 2/7 in -1/3, 195, -1/2?
-1/3
Which is the nearest to 46? (a) -29 (b) -1/2 (c) -4 (d) 185
b
What is the nearest to 0 in 0.26465, -89, -0.04, -3/7?
-0.04
Which is the closest to -0.2? (a) -3 (b) -1.1 (c) -1/2 (d) 181 (e) -137
c
What is the closest to 6 in -2, -3/5, 0.3, 982, 61/5?
0.3
Which is the nearest t... | {
"pile_set_name": "DM Mathematics"
} |
is h rounded to the nearest 100?
-300
Let n = 2228 + -4137. Let w = -1908.979995 - n. Let t = 0.02 - w. What is t rounded to 5 dps?
-0.00001
Let c = -1 - -4. Let m = 963.41903 - 966.41903044. Let d = m + c. Round d to seven decimal places.
-0.0000004
Suppose 0*b + 38200000 = 10*b. What is b rounded to the nearest one ... | {
"pile_set_name": "DM Mathematics"
} |
ighest common factor of 8 and t?
2
Let w(k) = 2*k**2 - 10. Let u be w(4). Calculate the greatest common factor of 220 and u.
22
Suppose 18 = -2*p - 2. Let y = -1 - p. Let i be (-18)/((-34)/10 - -3). Calculate the greatest common divisor of y and i.
9
Let h be 0/(-14) - (2 + -106). What is the highest common divisor of ... | {
"pile_set_name": "DM Mathematics"
} |
is 3*a(s) + 4*c(s)?
-3*s**2 - 6*s
Let p(b) = 12*b + 9269. Let t(r) = -5*r - 4634. Determine 3*p(z) + 7*t(z).
z - 4631
Let v(x) = -10 - 341*x - 33*x**2 + 409*x + 46*x**2. Let m(y) = 4*y**2 + 23*y - 3. Calculate -7*m(z) + 2*v(z).
-2*z**2 - 25*z + 1
Let y(w) = -12*w + 65. Let m(s) = -22*s + 112. Let q(f) = -4*m(f) + 7*y(... | {
"pile_set_name": "DM Mathematics"
} |
t derivative of 2*o**3/3 - 7*o**2/5 + 4*o/5 - 11. Solve g(f) = 0 for f.
2/5, 1
Let v(u) be the third derivative of -u**8/1512 - 2*u**7/945 - u**6/540 - 7*u**2. Suppose v(z) = 0. Calculate z.
-1, 0
Let a = 1 - -2. Factor -a + 4*s + 4*s**2 + 2*s**2 - 4*s**2 - 3*s**2.
-(s - 3)*(s - 1)
Let q(f) be the first derivative of f... | {
"pile_set_name": "DM Mathematics"
} |
alue? (a) 1/4 (b) 0.04499 (c) 2/57 (d) 3 (e) -1
d
What is the third smallest value in 3, 202/15, -2, 4.3?
4.3
Which is the fifth biggest value? (a) -2 (b) 11 (c) -935 (d) -4/7 (e) -1 (f) 0.3 (g) 9
e
Which is the sixth biggest value? (a) -928 (b) -5 (c) -5/2 (d) 1/2 (e) -4 (f) -356 (g) -1/6
f
Which is... | {
"pile_set_name": "DM Mathematics"
} |
o?
False
Suppose 0 = 86*h + 24 + 62. Which is bigger: h or -15/133?
-15/133
Let x(m) = 9*m**3 - 140*m**2 + 82*m + 5. Let c be x(15). Which is bigger: -1.8 or c?
c
Let m = 1819 + -3313. Let t = -7522/5 - m. Which is bigger: -11 or t?
t
Suppose -3*g + 14 = 4*h + 3, 3*g - h - 1 = 0. Let k(c) = -g + 28*c + 26*c - 53*c. Let... | {
"pile_set_name": "DM Mathematics"
} |
der.
-13, -9, -2, 1, 3, 4, 257
Put 5, -2, 9, -1320, -6, 6 in ascending order.
-1320, -6, -2, 5, 6, 9
Sort -4, 419, -573, -6, 4.
-573, -6, -4, 4, 419
Put -901, 9, 13693 in descending order.
13693, 9, -901
Put 1/4, -3, 3, -0.1, 1, 1071, 5 in descending order.
1071, 5, 3, 1, 1/4, -0.1, -3
Sort -75/4, -2717, 4/3 in decreas... | {
"pile_set_name": "DM Mathematics"
} |
number?
True
Is 142019 composite?
False
Is 40805 composite?
True
Is 15947 prime?
False
Is 251987 prime?
False
Is 33595 a prime number?
False
Is 132785 composite?
True
Is 65447 composite?
False
Is 14051 a composite number?
False
Is 2039 prime?
True
Is 385967 a composite number?
False
Is 396157 a prime number?
True
Is 16... | {
"pile_set_name": "DM Mathematics"
} |
159*o**4/4 + o**3/6 - 13*o**2/2 + 7. Let a(w) be the second derivative of z(w). Is a(1) composite?
True
Let x be 68/16*(-2 + -6). Let l = 0 + x. Let f = 165 - l. Is f a composite number?
False
Let c(x) = -x**3 + 14*x**2 - 12*x - 8. Let z be (-216)/(-16) + 2/(-4). Let h be c(z). Suppose h*s = -29 + 514. Is s a prime num... | {
"pile_set_name": "DM Mathematics"
} |
ind the second derivative of -2*j**4 - 4*j + 109*j**y - 109*j**2 wrt j.
-24*j**2
Suppose 0 = -7*p + 2*p - 20. Let k be (54/12)/((-3)/p). Find the third derivative of 365 + 3*o**k - 365 + 3*o**2 wrt o.
360*o**3
Let g(w) be the first derivative of 2*w**7/7 + w**4/4 - 4*w - 6. Let n(f) be the first derivative of g(f). Wha... | {
"pile_set_name": "DM Mathematics"
} |
Let h = -3 + o. Suppose h = 2*t - 3*t + 30. Is t a multiple of 11?
False
Let w = 2 - -2. Suppose -16 = w*m - 72. Suppose -m = -4*f + 82. Is f a multiple of 9?
False
Let f = 55 - 2. Let c = -38 + f. Suppose 0 = 2*i + i - c. Is i a multiple of 5?
True
Is (-261)/6*(-6)/9 - 0 a multiple of 14?
False
Suppose 0 = 3*n - 3, 2... | {
"pile_set_name": "DM Mathematics"
} |
= 24. Suppose -x*y + 7 = 3. Which is bigger: y or p?
y
Let i(k) = -k**3 + 6*k**2 - 2*k + 13. Let v = 199 - 193. Let f be i(v). Let h be (2/5)/((-47)/(-5)). Is f not equal to h?
True
Let n be (-15)/(-28)*4/(-10). Suppose 2*z = -h, -16*z + h = -19*z. Which is smaller: z or n?
n
Let v = 449 - 450. Which is smaller: v or 1... | {
"pile_set_name": "DM Mathematics"
} |
4021, -6603942, -6603863, -6603784, -6603705, -6603626?
79*t - 6604100
What is the t'th term of -7087, -11174, -15261?
-4087*t - 3000
What is the g'th term of 30551666, 30551669, 30551674, 30551681, 30551690, 30551701?
g**2 + 30551665
What is the t'th term of -107724, -430788, -969192, -1722942, -2692044, -3876504?
-t*... | {
"pile_set_name": "DM Mathematics"
} |
nearest integer?
-30
Round 256.98 to the nearest ten.
260
What is -0.000003619 rounded to 6 dps?
-0.000004
Round -1104700 to the nearest one hundred thousand.
-1100000
What is -66000 rounded to the nearest 100000?
-100000
Round 0.624 to two decimal places.
0.62
Round -0.000020844 to 6 decimal places.
-0.000021
Round -... | {
"pile_set_name": "DM Mathematics"
} |
e -4 = -h*l - l for l.
4
Let x(n) = n**3 + 27*n**2 - 28*n + 8. Let f be x(-28). Solve -20 = -3*m - f for m.
4
Let u(v) = -3*v. Let o be u(-1). Let i(q) = 1. Let g(y) = -y - 1. Let p(w) = o*i(w) + 3*g(w). Let l be p(-1). Solve -4*a - l = -a for a.
-1
Let v be (0/3)/(-7 + 8). Suppose -l = -5*o - v + 9, -5*l = o - 7. Solv... | {
"pile_set_name": "DM Mathematics"
} |
5/24 - g**3/6 - 12*g**2 + 166*g. Let r(y) be the second derivative of t(y). Let u(x) = 8*x**2. Determine r(u(n)).
280*n**2
Let m(b) = -b**2 - 4139885. Let x(u) = 3*u. Give m(x(s)).
-9*s**2 - 4139885
Let t(l) be the third derivative of 1237*l**4/3 - 959*l**2 - 4*l. Let m(c) = 2*c. Give t(m(n)).
19792*n
Let p(z) = -85*z ... | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from {b: 4, d: 5, m: 1}. What is prob of sequence dmm?
0
What is prob of sequence id when two letters picked without replacement from pihhphpphdhpihhdh?
1/68
What is prob of sequence ua when two letters picked without replacement from {a: 6, l: 5, g: 2, u: 3, b: 2}?
1/17
Four letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
= -3*m - 25, 0 = -d*m - m - o - 15 for m.
-5
Let t be 22/10 - 8/40. Suppose -2*s + 12 = s. Solve 2*q - 16 = -5*v, t*q + 2*v - s*v = 2 for q.
3
Suppose 8 = -2*g + 5*r + 24, r = -2. Solve 0 = 8*b - 4*b + g*n + 31, 3*n + 3 = 3*b for b.
-4
Suppose -11*o = -9*o - 6. Solve 0*g - 3*g + 3 = 0, i + 2*g + o = 0 for i.
-5
Suppose... | {
"pile_set_name": "DM Mathematics"
} |
undreds digit of z(p)?
2
Suppose 0 = -0*u - 0*u - 3*u. Suppose -8*x + 258 + 46 = u. Suppose 0 = -y + 121 - x. What is the tens digit of y?
8
Suppose -93 = 6*c + 57. What is the units digit of c/(((-88)/504)/11)?
5
Let z = 8144 - 1540. What is the hundreds digit of z?
6
Let k(u) = 48*u + 14 + 47*u - 97*u. Let h be k(6).... | {
"pile_set_name": "DM Mathematics"
} |
-6000
Suppose 4*z - 153 = 67. Suppose 12*x - 64136 = -63452. Suppose -z*q + 860 = -x*q. What is q rounded to the nearest 100?
-400
Let p(y) = y - 6. Let v be p(11). Suppose -h = v*h. Suppose -1615 = 5*w - 0*w - 5*t, -3*t + 9 = h. Round w to the nearest one hundred.
-300
Let j = -2706.69 - -461.99. Let l = 2394 + j. Wh... | {
"pile_set_name": "DM Mathematics"
} |
et n(s) be the second derivative of -3*s**5/20 + 7*s**4/12 + 2*s**3/3 - s**2/2 + 11*s. Let i(x) = 2*x**3 - 5*x**2 - 3*x + 1. Calculate -7*i(o) - 5*n(o).
o**3 + o - 2
Let i(z) = 2*z**2 - 6. Let k(g) be the first derivative of g**3/3 - g + 6. Suppose 0 = 3*f - 6, 5*h + 0 + 3 = 4*f. Determine h*i(b) - 4*k(b).
-2*b**2 - 2
... | {
"pile_set_name": "DM Mathematics"
} |
e (-3 - 2*x + 3)*(11*x + 12*x + 67*x + 60*x) to j*x**2 + o + n*x and give j.
-300
Express -89*w**2 - 3*w**4 + 6*w + 2*w**4 + 92*w**2 in the form o*w**2 + k + s*w**4 + z*w**3 + f*w and give s.
-1
Express (-4*n**2 + 0*n**2 + 3*n**2)*(-7*n**2 + 2*n + 0*n**2 - 7*n**2) in the form f + q*n**4 + b*n**2 + r*n + i*n**3 and give... | {
"pile_set_name": "DM Mathematics"
} |
the third root of 3318839049 to the nearest integer?
1492
What is the third root of 1164583773 to the nearest integer?
1052
What is 185382354 to the power of 1/3, to the nearest integer?
570
What is 198122785 to the power of 1/4, to the nearest integer?
119
What is 4950217465 to the power of 1/5, to the nearest integer... | {
"pile_set_name": "DM Mathematics"
} |
r + 0)*12?
4
Let q(p) = -p**3 - 5*p**2 + 5*p + 4. Let o be q(-6). What is the units digit of 3*(o/3 + 0)?
0
Suppose -3*n + 5*i = -2*n - 186, -174 = -n + i. What is the hundreds digit of n?
1
Suppose 0 = d + 4*j - 9*j + 6, -j = 4*d - 39. Suppose 0 = -l - 2 + d. What is the units digit of l?
7
Suppose 12 = -5*c + c. Let ... | {
"pile_set_name": "DM Mathematics"
} |
-2, 1, 5
Sort -1, 2/3, -39, 0.009, 2, -0.1 in decreasing order.
2, 2/3, 0.009, -0.1, -1, -39
Sort 4, -1347, 10, -1.
-1347, -1, 4, 10
Put 1, 4, -2, -6, 5 in increasing order.
-6, -2, 1, 4, 5
Sort -42, 3/4, 0.1, 2, -1.
-42, -1, 0.1, 3/4, 2
Sort -335813, 5, -5 in decreasing order.
5, -5, -335813
Put 0.5, 1, 2/5, -6.6, -5,... | {
"pile_set_name": "DM Mathematics"
} |
: 0 or d?
0
Let m = 0.1 - -4.9. Let t = m + -11. Which is greater: t or 0?
0
Let d = 7.41 - 7.8. Let h = d - 0.11. Is -1/3 at least as big as h?
True
Let m = -1 + 4. Suppose 0 = -2*q - 2*k + 10, -m*q = 2*k - 5 - 8. Suppose -2*a + 13 - q = 0. Which is greater: a or 3?
a
Let t(j) = -2*j**3 + j**2 - j. Let p be t(1). Let ... | {
"pile_set_name": "DM Mathematics"
} |
*q**2 + 77. Let y(n) = -11*n**2 + 6. Calculate -6*t(c) + 77*y(c).
11*c**2
Let a(t) = 2*t**3 - 2*t**2 + 2*t. Let q(l) be the first derivative of -l**4 + 5*l**3/3 - 5*l**2/2 + 3. Calculate -5*a(y) - 2*q(y).
-2*y**3
Let o(u) = u**3 + u**2 - 1. Let a(w) = w**2 - w + 1. Let i(n) = 3*n**2 + 1. Let f(t) = 2*a(t) - i(t). Deter... | {
"pile_set_name": "DM Mathematics"
} |
-3*y = f*w - 5 for w.
-1
Suppose 4*r - 15 = -3. Suppose -r*b = -2*b. Let u = -4585 - -4590. Solve b = -z + g, 3*z + u*g = z - 28 for z.
-4
Suppose 0 = 5*u - u. Suppose -2 = 4*m + 5*c - 67, u = 2*m - 3*c - 49. Let q be -1*m/(-3 + -1). Solve l = q*h + 20, -5*l + 26 + 8 = -3*h for h.
-3
Suppose -12*n + 1248 + 432 = 0. Le... | {
"pile_set_name": "DM Mathematics"
} |
u - 21. What is h(-14)?
-21
Let s(o) = -o**2 - 6*o - 4. Calculate s(-2).
4
Let x(b) = -b**3 - 3*b**2 - 7*b - 9. Determine x(-2).
1
Let k(i) = -i + 4. Determine k(-6).
10
Let h(j) = 4*j + 12. Calculate h(-9).
-24
Let y(q) = q**2 - 17*q - 45. Calculate y(19).
-7
Let w(v) = -6*v - 94. What is w(-12)?
-22
Let a(h) = -3*h**... | {
"pile_set_name": "DM Mathematics"
} |
1063
Calculate the remainder when 1334 is divided by 61.
53
What is the remainder when 9309 is divided by 4646?
17
Calculate the remainder when 17039 is divided by 5670.
29
Calculate the remainder when 33268 is divided by 456.
436
Calculate the remainder when 15209 is divided by 346.
331
Calculate the remainder when 16... | {
"pile_set_name": "DM Mathematics"
} |
6 = -3, 3*s - i = -1 for s.
1
Solve -3*g + 153 = 4*v + 130, 4*v = -4*g + 24 for g.
1
Solve -2*v = 2*w - 0 + 2, -v + 23 = -5*w for v.
3
Solve 0 = -2*s + 3*d, -4*s + 2*d = -8*s for s.
0
Solve -s - 2*s = -5*b + 7, -4*b - 32 = 7*s for b.
-1
Solve -a - 2 = 2*o - 0, 4*a = -2*o + 10 for o.
-3
Solve 0 = -3*i + 4*j + 12 + 8, -2... | {
"pile_set_name": "DM Mathematics"
} |
78
Calculate prob of picking 2 p, 1 r, and 1 s when four letters picked without replacement from {r: 1, p: 2, g: 1, d: 1, x: 1, s: 1}.
1/35
What is prob of picking 2 f when two letters picked without replacement from {f: 3, r: 1, j: 1}?
3/10
Four letters picked without replacement from mttmtt. Give prob of picking 2 t ... | {
"pile_set_name": "DM Mathematics"
} |
2 - 14*f**2 - 11*f**2 as x*f + r + o*f**2 and give x.
-2
Express 8*g + 27*g - 149*g as s + j*g and give j.
-114
Rearrange -7*m**3 + 3*m**3 - m**4 + 5*m**3 + 2*m + 1 to the form t + o*m**2 + u*m + h*m**3 + j*m**4 and give j.
-1
Express (-2 + 0*j + 2*j - 3*j)*(44*j + 83*j - 34*j) as y*j**2 + r + z*j and give y.
-93
Rearr... | {
"pile_set_name": "DM Mathematics"
} |
actor x*p**2 - 3*p**2 - 4*p + 3*p.
p*(p - 1)
Let y(t) be the first derivative of -3*t**4/28 + 2*t**3/7 - 3*t**2/14 - 3. Factor y(u).
-3*u*(u - 1)**2/7
Let i(f) be the third derivative of f**8/840 + f**7/525 + 10*f**2. Determine x, given that i(x) = 0.
-1, 0
Factor -12/7*v**3 + 9/7*v + 3/7*v**5 + 6/7 - 6/7*v**2 + 0*v**4... | {
"pile_set_name": "DM Mathematics"
} |
*(d**(-1/10)/d*d*d)/d**(1/5))**18 assuming d is positive.
d**(4149/65)
Simplify ((v*v*v**(-3/7))/v*v*v**(-4/5))/((v**(2/3)/v)/v**9) assuming v is positive.
v**(1061/105)
Simplify ((((j/j**(-13)*j)/j*j*j)/(j/((j/j**(1/16))/j)))**(1/62))**(-17/4) assuming j is positive.
j**(-4063/3968)
Simplify (((u**1/u)/u)/u)**20/((((u... | {
"pile_set_name": "DM Mathematics"
} |
Three letters picked without replacement from {y: 9, n: 1, j: 1, w: 2, h: 7}. Give prob of picking 2 y and 1 h.
21/95
Four letters picked without replacement from yggvygggygvrvvlvgvv. Give prob of picking 1 g, 1 l, and 2 y.
7/1292
Calculate prob of picking 1 r and 1 t when two letters picked without replacement from t... | {
"pile_set_name": "DM Mathematics"
} |
cond smallest value? (a) 0.1 (b) 2/3 (c) k
a
Let j = 0.6 + -0.4. Suppose -2 = -u + 3. What is the second biggest value in 1/9, j, u?
j
Let q = -3.5 - -0.5. Let p = -258 + 260.06. Let b = -0.06 + p. What is the second smallest value in q, 0.3, b?
0.3
Let y = 2.3 + 13.7. Let t = y + -11. Let i = -0.3 - 0. What is the ... | {
"pile_set_name": "DM Mathematics"
} |
tters picked without replacement from ssnmssnn. What is prob of picking 1 s and 1 m?
1/7
Calculate prob of picking 1 r and 3 h when four letters picked without replacement from hkkhhhhhrhhhphih.
33/364
Four letters picked without replacement from dcqccvq. Give prob of picking 2 c and 2 q.
3/35
Calculate prob of picking... | {
"pile_set_name": "DM Mathematics"
} |
24
Multiply 26 and 338.4.
8798.4
What is 15 times 2785?
41775
-49185*0.4
-19674
What is the product of -123 and 26821?
-3298983
Multiply 0.085441 and -0.1.
-0.0085441
What is the product of 991368 and 0?
0
What is the product of -1081.7 and -12?
12980.4
Multiply 0.0865 and -1.87.
-0.161755
-171532 * 0.5
-85766
Product ... | {
"pile_set_name": "DM Mathematics"
} |
= h*p + 3*b. Is p >= 26/9?
True
Suppose -4*c + 4 + 4 = 0. Suppose l + c*t = 0, -l + 2*t = -0 - 4. Which is smaller: l or 3/5?
3/5
Let j = -0.096 + -33.904. Are j and -0.1 equal?
False
Let a = 14798 - 88277/6. Which is bigger: a or 86?
86
Let y be (8 - 72/10)*(-2)/(-8). Is y less than -61/15?
False
Let j(k) = 4*k - 39.... | {
"pile_set_name": "DM Mathematics"
} |
, 0.11?
0.11
What is the closest to -12 in 0.2, 4, -5, 39970?
-5
What is the nearest to -1/2 in 356/5, 1/6, 10.26, 4?
1/6
Which is the nearest to -0.1? (a) 2/21 (b) -5 (c) 2 (d) 0.09191
d
What is the nearest to 1/2 in -0.12, -3018/43, -0.4?
-0.12
What is the nearest to -352 in 3/8, 0.1, 1/2, 4, -9?
-9
Which is the ... | {
"pile_set_name": "DM Mathematics"
} |
p) = -2*p**3 - 13*p**2 - 9*p - 14. Let l be w(-6). Solve 5*r + l = 4*k - 8, -2*r - s = -5*k for k.
3
Suppose 5*r - 85 = -2*j, 0 = -2*j + 4*r + 33 + 7. Let m be (1/(-2))/((-3)/j). Solve 3*u - 5*w = -m, 2*w - 2 + 0 = -u for u.
0
Suppose 0*a = a - r, -2*a - 2*r = -8. Suppose a*p - 3 = 7*p - 2*u, 4*u = 16. Let x = 3 - p. S... | {
"pile_set_name": "DM Mathematics"
} |
6 = 0. Calculate p(w).
-7
Suppose 5*o + 2*b = -30, -7*b + 2*b - 5 = -5*o. Let n(h) = -1 - h + 3*h**2 - 5*h - 4*h**2. Calculate n(o).
7
Let q(v) be the third derivative of -1/3*v**3 + 1/60*v**5 + 1/24*v**4 + 0*v + 0 + 4*v**2. Give q(0).
-2
Let c(s) = -s - 1. Let b = -19 + 22. Let h be c(b). Let o(w) = w**3 + 5*w**2 + 4*... | {
"pile_set_name": "DM Mathematics"
} |
ooooooooooyooooooo. Give prob of sequence yooo.
1/18
Two letters picked without replacement from cnrertqn. What is prob of sequence ce?
1/56
Calculate prob of sequence tl when two letters picked without replacement from ssssssslsssssts.
1/210
Three letters picked without replacement from xiio. What is prob of sequence... | {
"pile_set_name": "DM Mathematics"
} |
y*m - 6, 0 = -j - 4*m - 13 for j.
-1
Let h be 25/15 + 2/6. Solve m + 8 = 3*m - h*b, 2*m + 4*b = 2 for m.
3
Let j be 9 - (-3 - -9 - 3). Solve 4*p + j = -0*y - 2*y, -6 = 2*p - 2*y for p.
-2
Suppose 3*g + 5*o - 5 = 0, -4*g + 3*o - o + 24 = 0. Solve 2*l + 20 = -2*l - 4*v, g*v + 25 = -4*l for l.
0
Let o(j) = -j + 26. Let s ... | {
"pile_set_name": "DM Mathematics"
} |
*(-1)/4)?
-2/5
What is 4/7*14/(-20)?
-2/5
Evaluate (-4)/16*1/1.
-1/4
(28/35)/2*10/4
1
What is the value of (14/(-168))/(6/6)?
-1/12
Evaluate (8/200)/(16/160).
2/5
What is 55/(-22)*-1*2?
5
(6/21)/(4/7)
1/2
What is the value of ((-7)/294*-4)/2*3?
1/7
What is 2/2*(-1)/(-3)*-6?
-2
What is the value of 1/((-27)/(-3))*(-2)/(... | {
"pile_set_name": "DM Mathematics"
} |
-17*y**2 - 6*y - 6. Let d(g) = -6*a(g) - 143*p(g). Let h(u) = -3*u**2 + 37 + 45 + u**2 - 82. Calculate d(h(t)).
-44*t**4
Let x(h) = -3*h - 7. Let g(a) = 2*a + 4. Let c(k) = -7*g(k) - 4*x(k). Let o(y) = -3*y - 2. Let j(b) = -13*b - 9. Let u(q) = 4*j(q) - 18*o(q). Determine u(c(v)).
-4*v
Let b(i) = 2*i. Let y(u) be the t... | {
"pile_set_name": "DM Mathematics"
} |
68664.96856 + -64061.90144. Let a = t - -26832681.86999969. Let v = a + 45. Round v to seven decimal places.
-0.0000003
Let z(j) = -144*j**3 + 14*j**2 + 22*j + 52. Let g be z(17). Round g to the nearest 10000.
-700000
Let k = -5.8 + 4.1. Let w = 0.6 - 0.1. Let c = k + w. Round c to 0 dps.
-1
Let r = 4.198 - -0.092. Wha... | {
"pile_set_name": "DM Mathematics"
} |
-2*y = y - 5*d + 24. Let m = -13 - -6. Let f = y - m. List the prime factors of f.
2
Let i = -10 + 27. Suppose 0 = 5*m + 2*g - i + 42, -4*g = 0. What are the prime factors of -15*m/(25/4)?
2, 3
Let i be (-16)/10 + 3/5. Let s be 12*(1 - i*2). Suppose 0*k - 4*k = -s. What are the prime factors of k?
3
Suppose -4*l = l. S... | {
"pile_set_name": "DM Mathematics"
} |
-3
Solve 6 = 3*d, 427*c - 2*d = -433*c + 859*c - 2 for c.
2
Solve 2*j - 6*j = 5*i + 21, 2*i = -i + 14154*j - 14156*j - 11 for i.
-1
Solve 34 = -3*n + 666*d - 671*d, 2*n - 3*n - 2*d + 12 = -3*n for n.
-8
Solve -59*s - 850 = 7*q, 3*s + 11*s - 17 = 16*s + 2*q + 3 for s.
-15
Solve -2*f + 21 = -8*l - 3 + 2, 13*f - 2*l - 143... | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of -1/24*m**4 + 1/30*m**5 - 1/105*m**7 + 0*m**3 + 0 + m**2 + 1/336*m**8 + 0*m + 0*m**6. Factor z(b).
b*(b - 1)**3*(b + 1)
Let h(z) = 4*z**5 - 5*z**4 - z**3 + 8*z**2 + 3. Let s(i) = i**4 + i**3 + 1. Let y(b) = h(b) - 3*s(b). Factor y(t).
4*t**2*(t - 2)*(t - 1)*(t + 1)
Let i(m) = -m**3 - 6*m**2 - 4*m + 7. L... | {
"pile_set_name": "DM Mathematics"
} |
10 = -57*a. Let q(f) = 13*f**3 + 2*f**2 + 2*f - 1. Calculate the least common multiple of 11 and q(a).
1265
Let l = -37 + 41. Suppose -2*o + 16 = l*g, -2*o = -6*o - 2*g + 26. Let j(b) = b + 23. Calculate the smallest common multiple of 2 and j(o).
58
Let v be ((-2)/4)/(1/(-40)). Suppose -v*z + 82 + 18 = 0. What is the... | {
"pile_set_name": "DM Mathematics"
} |
.
4/7, i, -1
Let s = -15.64 - 0.36. Let g = -1 - s. Let z = g + -16. Sort -3, 0.5, z in ascending order.
-3, z, 0.5
Let r(j) = j**3 + 6*j**2 + 5. Let k be r(-6). Let i be 7 - (7 + -4 - 3). Let z(n) = -n**3 + 9*n**2 - 14*n - 3. Let c be z(i). Sort k, 1, c in ascending order.
c, 1, k
Let n = -1.437 + -1.563. Put n, -1, 4... | {
"pile_set_name": "DM Mathematics"
} |
eplacement from agdggamadgagg.
18/143
Three letters picked without replacement from {h: 7, x: 3}. What is prob of picking 3 h?
7/24
Two letters picked without replacement from fiogwzi. What is prob of picking 1 g and 1 i?
2/21
Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {h: 1,... | {
"pile_set_name": "DM Mathematics"
} |
t is the nearest to 0 in 1/3, 4, 18?
1/3
What is the closest to 1180 in -1/8, 0.5, -1/5, 0.1?
0.5
What is the closest to -269 in 2/9, -3/2, 0, -0.1?
-3/2
Which is the nearest to -3.6? (a) -5 (b) 2/5 (c) 1/4 (d) -0.4
a
Which is the nearest to 29? (a) 2/9 (b) 0 (c) -2
a
What is the closest to 2/9 in 5, -0.4, 78, -... | {
"pile_set_name": "DM Mathematics"
} |
digit of 100095?
0
What is the thousands digit of 2492?
2
What is the thousands digit of 5902?
5
What is the thousands digit of 2587?
2
What is the hundreds digit of 12080?
0
What is the thousands digit of 22838?
2
What is the units digit of 11371?
1
What is the units digit of 8819?
9
What is the thousands digit of 16... | {
"pile_set_name": "DM Mathematics"
} |
-3, g
Let s be 38*(-3)/42 + 12/(-42). Suppose 4*f - 16 = 0, 0 = -5*x + 3*f + 9 - 1. Sort x, s, -23 in increasing order.
-23, s, x
Let l = 114 + -79. Let i = l - 38. Put 1, i, 2 in ascending order.
i, 1, 2
Let s = -80 - -85. Sort s, -12, 4, -5.
-12, -5, 4, s
Let h = -234 - -234.017. Put -3, h, 0.1 in descending order.
0... | {
"pile_set_name": "DM Mathematics"
} |
y 133008?
14
What is the remainder when 515414 is divided by 26?
16
What is the remainder when 265073 is divided by 43245?
5603
What is the remainder when 700408 is divided by 70018?
228
What is the remainder when 25846079 is divided by 3040?
3039
What is the remainder when 11006440 is divided by 287?
277
Calculate the... | {
"pile_set_name": "DM Mathematics"
} |
+ 7)
Suppose -d**4/8 + 27*d**3/8 - 83*d**2/4 - 63*d/2 + 49 = 0. Calculate d.
-2, 1, 14
Find m such that 2*m**2/7 - 272*m/7 + 9248/7 = 0.
68
Solve -5*s**4 + 30*s**3 + 135*s**2 = 0 for s.
-3, 0, 9
Factor 3*l**3/4 - 11793*l**2/4 + 2895918*l + 2898867.
3*(l - 1966)**2*(l + 1)/4
Factor 2*y**3/3 - 48*y**2 - 98*y - 148/3.
2*(... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*h**2 + 2*h**2 - 4*h**2 - 3*h**2 + 2*h**2 + 3*h**2).
-22*h**3
Expand 2*t - 6*t**2 - 2*t - 1 + 1 + t**2 + (-t + 4*t - t)*(t - 4*t + t) + 1 - 3 - t + 3*t - 5*t**2.
-14*t**2 + 2*t - 2
Expand 2*o**4 - 4*o + 4*o + (50*o**4 - 25*o**4 + 34*o**4)*(-1 - 1 + 4).
120*o**4
Expand (3*r - 4*r + 0*r)*(-2*r + 2*r**2 + 2*r) - 2*r**3... | {
"pile_set_name": "DM Mathematics"
} |
se -v + c + 66 = 0. What is the tens digit of v?
8
Let m(p) = 4*p + 111. Let b be m(-23). What is the units digit of 156*(4 + -3 + b/4)?
7
Let t = -1 - -3. Let y = -277 - -265. What is the units digit of y/t*154/(-44)?
1
Let q = -208 - -213. Suppose 2*t = 5*l + 560, -2*t - q*l + 520 = -0*t. What is the hundreds digit o... | {
"pile_set_name": "DM Mathematics"
} |
(1 - 1 - 2)*(-5*z + 3*z + 0*z)*(z - z - z**2) in the form k + n*z**3 + t*z**2 + y*z and give n.
-4
Express 2*b - 2*b**3 + 57*b**2 + 6*b - 55*b**2 as o*b**3 + n + j*b**2 + u*b and give j.
2
Rearrange -3*t**4 - t**2 + t**4 + 7*t - 4*t + 8 + 0 to the form y*t + l*t**2 + k + u*t**3 + b*t**4 and give u.
0
Rearrange 1 + 27*... | {
"pile_set_name": "DM Mathematics"
} |
, 259, 276?
-w**2 + 24*w + 196
What is the w'th term of -112, -116, -120, -124, -128, -132?
-4*w - 108
What is the o'th term of -104, -397, -878, -1547, -2404, -3449, -4682?
-94*o**2 - 11*o + 1
What is the g'th term of 6, 13, 44, 111, 226?
2*g**3 - 7*g + 11
What is the n'th term of -14, 0, 64, 202, 438, 796, 1300, 1974... | {
"pile_set_name": "DM Mathematics"
} |
390*v - 28225. Give y(-12).
167
Let p(o) = -802*o**2 + 198*o + 404. What is p(-2)?
-3200
Let b(d) = 3*d**2 + 1238*d + 20181. Calculate b(-17).
2
Let y(x) = -x**3 - 31*x**2 - 70*x - 3295. What is y(-32)?
-31
Let n(l) = l**2 + 127*l + 596. Determine n(0).
596
Let d(v) = -13*v**3 + 9074*v**2 + 7*v - 4895. What is d(698)?
... | {
"pile_set_name": "DM Mathematics"
} |
ifferentiate -33*h**2*w**2 + 84257*h**2 + 26*h*w**2 + h*w + 2*w**2 wrt w.
-66*h**2*w + 52*h*w + h + 4*w
What is the first derivative of -76091*v + 103295 wrt v?
-76091
Differentiate 684*h**2 - 5*h*s**2 + 33048*s**2 with respect to h.
1368*h - 5*s**2
Find the second derivative of -2*j*l**2 - 794*j*l - j + 72063*l**2 + l... | {
"pile_set_name": "DM Mathematics"
} |
496786
Convert -52159 (base 13) to base 15.
-2da47
What is 3739a (base 14) in base 7?
1102053
Convert 131013231111 (base 4) to base 8.
35075525
Convert -30266067 (base 8) to base 2.
-11000010110110000110111
Convert -15b916 (base 13) to base 15.
-a9e20
Convert -21186 (base 10) to base 3.
-1002001200
-2366575 (base 8) to... | {
"pile_set_name": "DM Mathematics"
} |
ement from {x: 5, m: 2, p: 9}. What is prob of picking 1 m and 1 x?
1/12
What is prob of picking 3 j and 1 l when four letters picked without replacement from ljllyjljylyly?
6/715
Three letters picked without replacement from rrrrrlrrlrrlrrrrrr. Give prob of picking 2 l and 1 r.
15/272
Two letters picked without replac... | {
"pile_set_name": "DM Mathematics"
} |
erms in -71293*y**3 + 633*y**2 + 71295*y**3 + 663*y**2 - 1296*y**2.
2*y**3
Collect the terms in 121*z - 77*z**3 - 123*z - 79*z**3.
-156*z**3 - 2*z
Collect the terms in 2797*n**2 + 648*n**3 + 1756*n**3 - 2797*n**2.
2404*n**3
Collect the terms in 56146*a - 113627*a + 57487*a.
6*a
Collect the terms in 0 + 7 - 290*k**3 - 1... | {
"pile_set_name": "DM Mathematics"
} |
6 + 26*l**3 + 4 + 3 - 7*l + 16*l to the form i*l**3 + j*l**2 + q + x*l and give q.
1
Express (-1 - 3 + 3)*(-4 - 36*p + 13*p + 20*p) + 0*p + 3*p - p as l + a*p and give a.
5
Rearrange (533 - 533 + 133*s)*(0*s**3 + 0*s**3 + 3*s**3) to v*s**2 + h*s**4 + y*s**3 + x + l*s and give h.
399
Rearrange (-14*z**4 + 60*z**4 + 71*... | {
"pile_set_name": "DM Mathematics"
} |
Calculate ((-55)/220)/(((-38)/16)/(-1)).
-2/19
16/12*(-77)/(-6)*27/42
11
11/((-1650)/(-250))*1/((-15)/(-306))
34
Evaluate (-15)/(-1)*(-174)/435.
-6
What is the value of 1980/(-9504)*(-3)/(-25)?
-1/40
What is the value of ((-500)/(-1125))/(2/45)?
10
Calculate (483/(-3864))/(5/(-4))*28/2.
7/5
(60/(-280))/(((-8)/(-42))/(... | {
"pile_set_name": "DM Mathematics"
} |
e
Let m(u) = 2*u**3 - 11*u**2 - 7*u + 15. Let k be m(6). Let v(t) = 33 - 9*t + 21*t + 3*t**2 - 4*t**2. Is 6 a factor of v(k)?
True
Suppose 0 = 3*l + 24 - 18. Let d be 34/85 - l/(-5). Suppose -2*s + 120 + 44 = d. Does 14 divide s?
False
Let v(p) = 2*p + 20. Let d be v(-12). Let r be (-3)/(5 + d - 2). Suppose -2*k - 11*a... | {
"pile_set_name": "DM Mathematics"
} |
-2*q**3 - 2
Let i(m) = -8*m - 2. Let g(f) = f. Let d(o) = 3*o**2 + 40*o - 76. Let y be d(-15). Calculate y*i(w) - 10*g(w).
-2*w + 2
Let l(u) = 4*u**3 - 3*u + 3. Let z be (4 - 2)*(0 - 0 - -2). Let o(s) be the first derivative of -2 + 0*s**3 + 1/4*s**z + s - 1/2*s**2. Determine -l(k) + 3*o(k).
-k**3
Let h(p) = -27*p**3 -... | {
"pile_set_name": "DM Mathematics"
} |
*(1613/11)
Simplify (y/((y/y**2)/y)*y*y/y**(-7))/((y/(y/y**(-5)))/(y*y**5*y)) assuming y is positive.
y**24
Simplify (t/(t**0*t))**(-3/14)/(((t*t/t**(-2/7)*t)/t)/t**(-6)) assuming t is positive.
t**(-58/7)
Simplify ((y*y**(-6))/y**(-2/3))/((y**(-1)*y)/((y/y**(-2))/y)) assuming y is positive.
y**(-7/3)
Simplify y**(2/15... | {
"pile_set_name": "DM Mathematics"
} |
by b.
31
Suppose -31*k + 29 = -591. Let m be (14/21)/(2/18). Suppose y + 2*r - 17 = 0, 0 = -y + 2*r - 1 + m. Calculate the remainder when k is divided by y.
9
Let s(c) = c**3 + 45*c**2 - 3*c - 16. What is the remainder when 663 is divided by s(-45)?
68
Let i(c) = -c**2 - 28*c + 34. Let r = 67 + -96. Let z be i(r). Cal... | {
"pile_set_name": "DM Mathematics"
} |
7.
-45.752
Product of -190 and 77.
-14630
0.097 * 54.3
5.2671
Multiply -0.1 and 0.766.
-0.0766
What is the product of -0.04 and -103204?
4128.16
Product of 3639 and 0.17.
618.63
What is 0.4 times 269.927?
107.9708
What is the product of -517 and 616?
-318472
What is 3265 times 0.4?
1306
-0.725*-34
24.65
What is 0.4 tim... | {
"pile_set_name": "DM Mathematics"
} |
et s(p) = -2*p**2 + 2*p. Let i(v) = -9*v**2 + 9*v. Let n = -527 - -533. Calculate n*i(x) - 26*s(x).
-2*x**2 + 2*x
Let q(a) = 4*a. Let p(y) = -y - 3. Let z(b) = -2*p(b) - q(b). Suppose 0*o - o = 11. Let r(g) = 6*g - 17. Give o*z(d) - 4*r(d).
-2*d + 2
Let w(c) = 1812*c**3 - 5*c - 10. Let l(d) = -437598*d**3 + 1208*d + 24... | {
"pile_set_name": "DM Mathematics"
} |
x.
2*x**2 - x
Collect the terms in -6574*r - 631*r + 480*r.
-6725*r
Collect the terms in 111 - 337 + 5*f**2 + 109 + 117 + 2*f**2.
7*f**2
Collect the terms in 135*f**2 + 10*f**2 - 9*f**2.
136*f**2
Collect the terms in -24*y**3 + 0*y**3 - 109*y**3.
-133*y**3
Collect the terms in -19*h**3 + 4*h**3 - 3*h**3 + 5*h**3.
-13*h... | {
"pile_set_name": "DM Mathematics"
} |
composite number?
True
Let k = -202 - -381. Is k a composite number?
False
Let p be (-2)/(-2) - (-2 + -1). Is (-5 + p)/(1/(-19)) prime?
True
Let v(a) = -2*a**3 + 5*a**2 + 2*a - 3. Let b be v(2). Let z(q) = -q**2 + 5*q. Let t be z(5). Suppose y - 2*g - 41 = g, t = -y - b*g + 25. Is y composite?
True
Let u be ((-5)/(-3)... | {
"pile_set_name": "DM Mathematics"
} |
27. Which is the nearest to 0.1? (a) g (b) -68 (c) -3/7
c
Let y = 29929 - 29928.9. Let z be ((-12)/45)/(6/5). Which is the nearest to 0.1? (a) 2/9 (b) z (c) y
c
Let o = -4357 + 4348. What is the nearest to 0 in 2/3, -16, o?
2/3
Let h = 13.3 - 12.9. Let g = 22.81 - 20.81. Let z = 10 - 14. What is the nearest to g ... | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from fdhudufhhpeu.
1/22
What is prob of picking 1 h and 1 d when two letters picked without replacement from {h: 8, x: 8, d: 1, k: 1}?
8/153
Three letters picked without replacement from {s: 1, a: 2, b: 2, w: 4}. Give prob of picking 1 s, 1 w, and 1 b.
2/21
Calculate prob of picking 1 c and 1 a when tw... | {
"pile_set_name": "DM Mathematics"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.