text stringlengths 270 8.19k | meta dict |
|---|---|
n 15253 is divided by 37?
9
Calculate the remainder when 14602 is divided by 242.
82
Calculate the remainder when 233822 is divided by 19485.
2
What is the remainder when 206399 is divided by 1002?
989
What is the remainder when 17236 is divided by 401?
394
What is the remainder when 291466 is divided by 22420?
6
What ... | {
"pile_set_name": "DM Mathematics"
} |
(k**(-1)/(k**(-6/7)/k))**(-34)/((k/(k/(k/k**2)))**12)**(1/43) assuming k is positive.
k**(-8688/301)
Simplify (z**(-4)/(z*z**(1/13)/z))**(2/11)/((z**(5/3)*z/(z/(z*z**(2/5)*z)))/(z*z**(-2/3))**(-14)) assuming z is positive.
z**(-20323/2145)
Simplify ((m**(-1/3))**(-1/6)*((m*m**6*m)/m)/m**0)/((m**(-1))**(3/5)*(m/m**0*m)*... | {
"pile_set_name": "DM Mathematics"
} |
-282
What is -1001.432723 rounded to 1 dp?
-1001.4
Round 3.9454349 to 2 dps.
3.95
Round 0.000486806669 to three decimal places.
0
What is 47463001 rounded to the nearest 1000000?
47000000
Round -2.031514321 to five decimal places.
-2.03151
What is -3.37946167 rounded to four dps?
-3.3795
What is -4622203.5 rounded to t... | {
"pile_set_name": "DM Mathematics"
} |
-27562?
-b**3 - b**2 - 4421*b - 784
What is the k'th term of -391, -718, -961, -1078, -1027, -766, -253?
7*k**3 - 376*k - 22
What is the v'th term of -843917, -1687810, -2531703?
-843893*v - 24
What is the u'th term of 14432, 14641, 14926, 15281, 15700, 16177, 16706, 17281?
-u**3 + 44*u**2 + 84*u + 14305
What is the p... | {
"pile_set_name": "DM Mathematics"
} |
4).
-6
Suppose 3*l + b = 2*b + 443, 3*b - 435 = -3*l. Let h be 6*(l/90 - 12/90). Let z(p) = -h*p - 12*p**2 - 13 + 20*p**2 - 3*p**3 + 4*p**3. Calculate z(-9).
-13
Let r(j) = -j - 2. Let z be r(-2). Let c = -597 - -614. Let h(y) = -3*y - 39 + 3*y**2 + 3*y + c + y - 4*y**2. Determine h(z).
-22
Let o be (-2)/9 + (-280)/(-4... | {
"pile_set_name": "DM Mathematics"
} |
. What is the biggest value in o, -4, 91.19?
91.19
Let i = -5.01 + 5. Let q = -501.88 - -500.88. Which is the third biggest value? (a) -1/3 (b) q (c) i
b
Let z = 67 + -62. Let t = -5.05 - -0.05. Let l = -0.0398 + 0.3398. Which is the fourth smallest value? (a) l (b) z (c) t (d) -0.5
b
Let n be (-6)/(-21) + (-5)/... | {
"pile_set_name": "DM Mathematics"
} |
ext: -13202, -51975, -116606, -207101, -323466, -465707?
-633830
What is next in 3445, 13733, 30889, 54919, 85829, 123625, 168313, 219899?
278389
What is next in 778761, 778763, 778765, 778767?
778769
What comes next: 459, 1863, 4207, 7491, 11715, 16879, 22983?
30027
What is next in -11907, -11934, -11995, -12102, -122... | {
"pile_set_name": "DM Mathematics"
} |
first derivative of 8 + 4*v + 1/6*v**3 + 0*v**2. Let h(i) be the first derivative of o(i). Give f(h(m)).
-3*m
Let w(d) = -d**2 + 7*d. Let a(b) = b. Let i(c) = -14*a(c) + 2*w(c). Let l(p) be the second derivative of p**4/3 - 3*p + 17. Give i(l(m)).
-32*m**4
Let m(t) = t**2. Let s = -22 - -10. Let n be (-7)/(s/9 - -1). ... | {
"pile_set_name": "DM Mathematics"
} |
(-12)/18 - (-6)/9. Suppose -4*r + 1185 - 373 = f. What are the prime factors of r?
7, 29
Let l = -368 + 520. Let z = 2 - l. Let v = -81 - z. List the prime factors of v.
3, 23
Let h be (14/(-21))/((-2)/(-15)). Let c(v) = -4*v - 9. Let j be c(h). Suppose b = f + 5, f + j = 2*b + 2. What are the prime factors of b?
2
Su... | {
"pile_set_name": "DM Mathematics"
} |
True
Let b(t) = -t**2 - t + 2. Let p be b(-2). Let y(s) = s**3 + 3*s - 4 + 3 + p*s + 7*s**2. Is y(-5) a prime number?
False
Let n be 2/(((-16)/18)/4). Let q(k) = -k**3 - 8*k**2 + 8*k + 13. Let o be q(n). Let c = o - 0. Is c a prime number?
False
Let u(w) be the second derivative of -w + 7/2*w**2 + 2/3*w**3 + 7/12*w**4... | {
"pile_set_name": "DM Mathematics"
} |
a/(-30) + 1/(-3).
70
Suppose -4*r - 23 = 2*i - 137, 2*r - i = 63. What is the lowest common multiple of r and 48?
240
Let x be (8 + 0)*(-5)/((-20)/(-48)). Suppose a + 36 = 4*a. What is the lowest common multiple of a and ((-2)/4)/(4/x)*1?
12
Let l = -140/237 + 6689/23226. What is the common denominator of l and 4/21?
2... | {
"pile_set_name": "DM Mathematics"
} |
8. Factor y*v**3 - 32/7*v**2 + 30/7*v + 0.
2*v*(v - 15)*(v - 1)/7
Let g(w) be the second derivative of 5*w**7/2016 - w**6/96 - w**4/12 - 21*w**2/2 - 46*w. Let a(b) be the third derivative of g(b). Factor a(c).
5*c*(5*c - 6)/4
Let r(s) = -146*s + 27453. Let t be r(188). What is v in 2/3*v**t - 10/3*v**2 + 2/3*v**4 + 8/3... | {
"pile_set_name": "DM Mathematics"
} |
= g*q - 13. Find the second derivative of 7*f - 2*f**x - f**2 + 4*f**2 wrt f.
2
Differentiate -125*q**4 + q**2 + 21 + 62*q**3 - 62*q**3 + 64*q**4 wrt q.
-244*q**3 + 2*q
Let z(t) be the third derivative of 0*t**5 + 10/3*t**3 - 9/70*t**7 + 0 + t + 0*t**6 + 20*t**2 + 0*t**4. Differentiate z(d) with respect to d.
-108*d**... | {
"pile_set_name": "DM Mathematics"
} |
206*y + 211*y - 51 = -2*m for m.
3
Solve b = -4*v - 24, 4*b + v + 64 = 43 for b.
-4
Solve 5*k - 32 = 7*i, 33*k - 36*k + 22 = -7*i for i.
-1
Solve -t - 82 = -4*f - 85, 4*f = 4*t + 24 for f.
-3
Solve 21*w - 26*w + 4*o = -58, 5*w - 3*o - 41 = 0 for w.
-2
Solve 5 = 4*o + 5*d, -32*o - 3 = -28*o - 3*d for o.
0
Solve 0 = 3*m ... | {
"pile_set_name": "DM Mathematics"
} |
7?
1797
Calculate the smallest common multiple of 20 and 9970.
19940
What is the smallest common multiple of 95 and 55?
1045
Calculate the smallest common multiple of 6 and 79.
474
Calculate the common denominator of 31/80 and 63/130.
1040
Calculate the common denominator of -47/324 and -43/54.
324
What is the common d... | {
"pile_set_name": "DM Mathematics"
} |
-24
Differentiate -10 + 17 + 3*y**3 - 11*y**3 wrt y.
-24*y**2
Suppose -4 - 6 = -5*p. What is the second derivative of -2*i + 2 - p + 3*i**3 wrt i?
18*i
Suppose 3*c = -2*c - 5. Let z(b) = 3*b**2. Let i be z(c). Find the second derivative of 2 + i*r**5 - 2 + 3*r - 4*r**5 wrt r.
-20*r**3
Let l be 6 - (-1)/(1/(-1)). Differ... | {
"pile_set_name": "DM Mathematics"
} |
(b) z (c) -1
c
Let a = -167.3077 - -0.1077. Let d = a + 167. Let b = -1.1 - -3.1. What is the nearest to d in -0.5, b, -0.09?
-0.09
Let c(r) = 24*r - 191. Let o(h) = -2*h**3 - 22*h**2 + 23*h - 4. Let t be o(-12). Let v be c(t). What is the closest to v in -0.4, 0, -1/2?
0
Let k(g) = -4*g + 8. Let q be k(4). Let m be 2... | {
"pile_set_name": "DM Mathematics"
} |
+ 1 - 2)*(3 + 2*p - 3).
134*p + 9
Expand (-2*o + 2 - 2)*(7 - o - 4 + 0*o) + (-o + 5*o - 5*o)*(15*o - 12*o - 30*o) - 6*o**2 - o**2 + 0*o**2.
22*o**2 - 6*o
Expand (6 + 3 + 0)*((-2*m**3 + 2*m**3 - 2*m**3)*(-1 + 5*m + 1) - 51*m**3 - 2*m**4 + 51*m**3).
-108*m**4
Expand -h + 9 - 9 + (0 + 0 - h)*(1 + 0 - 5) + h - 7*h - 6*h.
-... | {
"pile_set_name": "DM Mathematics"
} |
(3 - 1 - 3)*(-2*h + 1 - 1) + 3*h - 7*h + 3*h.
-215*h
Expand q + q - 3*q + 3*q - 1 + 1 - 2*q + 2*q + 2*q + (0*q + 3*q - q)*(0 + 3 - 1) + 0*q - q + 0*q - 3 + 3 + q - q + 0 + 0.
7*q
Expand (-4*m + 7 - 7)*(23*m**2 + 64*m**2 + 28*m**2 + (-4 + 2 + 1)*(-2*m**2 + 22*m**2 - 6*m**2)).
-404*m**3
Expand (4*k - 7*k - 19*k)*(11*k**... | {
"pile_set_name": "DM Mathematics"
} |
st derivative of 0 - h - 5*o**3 + 3*o - 3*o wrt o.
-15*o**2
Let u(l) be the third derivative of 17*l**7/210 + l**6/120 + 11*l**4/24 + l**3/2 - 11*l**2. What is the second derivative of u(m) wrt m?
204*m**2 + 6*m
Let n(y) be the first derivative of 0*y + 0*y**4 - 9/5*y**5 - 4 + 3*y**3 + 0*y**2. What is the third derivat... | {
"pile_set_name": "DM Mathematics"
} |
s 111 divide 5217?
True
Does 17 divide 1802?
True
Is 47 a factor of 1222?
True
Is 14491 a multiple of 99?
False
Is 12 a factor of 1161?
False
Is 71 a factor of 53948?
False
Is 7 a factor of 1895?
False
Does 44 divide 9276?
False
Does 109 divide 1417?
True
Is 231 a factor of 28032?
False
Is 8 a factor of 4465?
False
Is ... | {
"pile_set_name": "DM Mathematics"
} |
= -5*z + 2, 30 = -3*q + 4*z. Give g(q).
-2
Let t(r) = -2*r**3 + 14*r**2 - 16*r - 1. Let m(v) = -v**3 + 7*v**2 - 8*v. Let c(q) = -5*m(q) + 3*t(q). Let f be (4 - 2)*(-104)/16. Let j = f + 19. What is c(j)?
-15
Let c be 17/3 + (-3 - 14/(-6)). Suppose -2*s - 26 = 6*x - x, 0 = -c*s - 3*x - 27. Let m(y) = 20*y. Let r(k) = -7... | {
"pile_set_name": "DM Mathematics"
} |
Let o = v - 3.7. Which is bigger: u or o?
o
Let u = 32 + -32. Suppose 6*q + u = -6. Is -2 at least as big as q?
False
Let l(r) = -r**2 + 4*r. Suppose -3*s - 8 = -20. Let x be l(s). Suppose x = -q - 0*q. Is q greater than 0?
False
Let g be 1958/(-12) - (-60)/360. Which is bigger: -164 or g?
g
Suppose -26 = -2*p - 5*t, ... | {
"pile_set_name": "DM Mathematics"
} |
- 112. What is the units digit of a?
5
Suppose 6*s = 8*s - 1720. Suppose 69*z - 64*z = s. What is the hundreds digit of z?
1
Let f be (-74802)/54 - (35/45 + -1). Let i = f + 3110. What is the tens digit of i?
2
Let y = -18 - -201. Let i = 408 - y. What is the units digit of i?
5
Suppose -84*m = -77*m - 7791. Let t = 2... | {
"pile_set_name": "DM Mathematics"
} |
of 2407*m**3/3 + 6320. Determine z(l(t)).
-11587298*t**4
Let d(t) = 2*t. Let m be (-40)/(-19) - 28/266. Let n(l) = 1125*l**2 - m*l + 2*l - 1340*l**2. Calculate n(d(u)).
-860*u**2
Let d(q) = 16*q - 1. Let f(g) = -156*g**2 + g - 83. Give d(f(x)).
-2496*x**2 + 16*x - 1329
Let z(p) = 2600*p**2 + 250*p - 125. Let d(y) = -2... | {
"pile_set_name": "DM Mathematics"
} |
*(3 + 1 - 3)).
56*k**3
Expand (0 - 3 + 5)*(-9 + 9 - 2*d)*(4*d + 0*d - 2*d).
-8*d**2
Expand -6*s + 53*s + s + 2 + 2*s - 2 + 0 + 0 + 2*s + (1 + 4 - 7)*(0 + 0 - 2*s).
56*s
Expand 10*r**2 + 22 - 22 + r**2 - r**2 + 2*r**2 + (r - 3*r + r)*(-3*r + 2*r - r) - 2 + 2 + 2*r**2 + 2*r**2 - r**2 - 3*r**2 + 0*r**2 - 3*r**2 + 5*r**2.
... | {
"pile_set_name": "DM Mathematics"
} |
sequence iii when three letters picked without replacement from ivivvvi.
1/35
Two letters picked without replacement from {q: 12, o: 2, w: 2, l: 2, m: 1, r: 1}. Give prob of sequence lm.
1/190
Calculate prob of sequence as when two letters picked without replacement from dscdjscascd.
3/110
Four letters picked without r... | {
"pile_set_name": "DM Mathematics"
} |
divided by -1460
-2093/1460
Calculate -5653659 divided by 513969.
-11
Calculate -26233141 divided by -4.
26233141/4
What is 883 divided by -64109?
-883/64109
What is 2 divided by -3073675?
-2/3073675
What is -316992 divided by -16?
19812
What is -34344230 divided by -446?
77005
Calculate 542476955 divided by 229.
23688... | {
"pile_set_name": "DM Mathematics"
} |
20, -34, -224, -468?
-784
What is the next term in -26404922, -26404923, -26404924, -26404925?
-26404926
What comes next: -8179466, -8179468, -8179470, -8179472, -8179474, -8179476?
-8179478
What is next in -28380083, -56760166, -85140249, -113520332?
-141900415
What is next in -2118808, -2118698, -2118588, -2118478, -... | {
"pile_set_name": "DM Mathematics"
} |
+ 5*i - 4. Let c be t(-3). Let b = -25 - c. Is 12 a factor of b?
True
Let p(c) = c**3 + 5*c**2 - 4. Let o be p(-5). Let y be o - 1*12/3. Is y/6 - (-152)/6 a multiple of 8?
True
Let n(u) be the third derivative of -u**6/120 - u**5/12 + 5*u**3/6 - 6*u**2. Let y be n(-5). Suppose -y*w + 253 + 77 = 0. Does 22 divide w?
Tr... | {
"pile_set_name": "DM Mathematics"
} |
x + 2 = 3*l, -4*x - l = -0*x - 24 for x.
5
Solve -5*t + 13*i + 8 = 12*i, 3*i = -t + 8 for t.
2
Solve 2*n = y + 2, -3*n + 4*y + 3 = 7*y for n.
1
Solve -5*m - 9 = 2*g, 99*g - 27 = 95*g - m for g.
8
Solve 4*p + 23 = 5*d, 5*p + 32 + 2 = d for d.
-1
Solve 0 = 4*o + 5*a - 2*a + 10, 2 = o + 3*a for o.
-4
Solve 0 = 4*l - 17*k ... | {
"pile_set_name": "DM Mathematics"
} |
+ (2*i**4 - 4*i**4 + 3*i**4)*(-9*i + 9*i + 24*i).
29*i**5 - 9
Expand (38 - 12*r - 38)*(19*r**2 - 4*r**2 + 8*r**2) + (3*r**2 - 3 + 3)*(-2*r + 0*r + 0*r).
-282*r**3
Expand (2*c**4 - c**4 - 3*c**4)*(2 + 0 + 1 + (2 - 3 + 3)*(3 - 1 - 1) + 3 - 3 + 2 + 244 - 426 + 228)*(3 - 4 - 3*c + 4*c).
-106*c**5 + 106*c**4
Expand (-5598 +... | {
"pile_set_name": "DM Mathematics"
} |
1647737 by -7.
-235391
Calculate 473952556 divided by -3077614.
-154
Calculate 36636449 divided by -16.
-36636449/16
What is 9293660 divided by 5?
1858732
-54057822 divided by -182
297021
Calculate 23 divided by -1495535.
-23/1495535
Divide 4354698 by 725783.
6
Calculate 259 divided by 267640.
259/267640
Divide 179741... | {
"pile_set_name": "DM Mathematics"
} |
d by h.
22
Let w(y) = -198*y + 211. Calculate the remainder when 48 is divided by w(1).
9
Suppose 264 = 5*n - 6. Suppose 38 + n = 4*t. Let z = 4 + t. Calculate the remainder when 101 is divided by z.
20
Let j(y) = 276*y - 1253. Calculate the remainder when j(6) is divided by 98.
11
Let g(k) = -k**3 + k**2 + 3*k + 8. Le... | {
"pile_set_name": "DM Mathematics"
} |
r(x).
(x - 2)*(23*x - 2)/4
Find q, given that 98*q - 132 + 1/4*q**4 - 81/4*q**2 + 0*q**3 = 0.
-11, 3, 4
Let n be -7*72/84 - 40/(-6). Let d(k) be the first derivative of 0*k + 2*k**2 + n*k**3 - 3/2*k**4 - 7. Factor d(t).
-2*t*(t - 1)*(3*t + 2)
Let b = 6461233/4 - 1615307. Suppose b*s**2 + 125/2*s - 255/4 = 0. Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
-1250000
What is 0.20223 rounded to 3 dps?
0.202
Round -13600000 to the nearest one million.
-14000000
Round -260.609 to the nearest 10.
-260
Round -0.0000100115 to seven dps.
-0.00001
Round 0.0162777 to three decimal places.
0.016
Round -0.000000084 to seven dps.
-0.0000001
What is 86.9 rounded to the nearest integer?... | {
"pile_set_name": "DM Mathematics"
} |
) to base 16
-835
-2141 (base 5) to base 3
-101222
What is 347 (base 10) in base 15?
182
-456 (base 11) to base 10
-545
Convert 1077 (base 11) to base 8.
2607
Convert 1c0c3 (base 15) to base 9.
148223
20011000 (base 3) to base 15
14dc
What is 1464 (base 8) in base 7?
2251
What is 29a (base 14) in base 5?
4103
22213 (ba... | {
"pile_set_name": "DM Mathematics"
} |
6/27)/((0 + 1)/9). Suppose -f*z - 595 = -4*x + z, x = z + p. What is the hundreds digit of x?
1
Let h(j) = -4*j**2 + 42*j + 28. Let r(a) = -9*a**2 + 85*a + 58. Let t(u) = 7*h(u) - 3*r(u). What is the tens digit of t(18)?
0
Let d be (-90)/(-40) - 3/(-4). Suppose -3300 = -3*i + d*k, -4*i + 12*k + 4376 = 16*k. What is the... | {
"pile_set_name": "DM Mathematics"
} |
at is the remainder when 1332 is divided by 265?
7
What is the remainder when 754 is divided by 35?
19
Calculate the remainder when 5327 is divided by 48.
47
Calculate the remainder when 2862 is divided by 8.
6
Calculate the remainder when 7253 is divided by 18.
17
Calculate the remainder when 117 is divided by 21.
12
... | {
"pile_set_name": "DM Mathematics"
} |
.6 or s?
-3.6
Let f be (0 - 6)*(-912)/(-72). Let x be (f/8 - -8)/(-1 - 5). Which is greater: 23 or x?
23
Suppose 2*m - 401 = -399. Let h = -64 + -286. Is h equal to m?
False
Let l be (-8)/20 - 81/(-15). Suppose -4*s = -l*u + 8, -2*u - 4 = -12. Suppose -s*r - 3*k + 54 = 0, 2*k - 70 = -4*r - 0*k. Which is bigger: 18 or r... | {
"pile_set_name": "DM Mathematics"
} |
ich is bigger: t or 1?
1
Let o = -6 - -26. Let l be (-8)/o + 19/(-15). Is -3 less than l?
True
Suppose 0*d - 2*d = 4*p - 14, 0 = -2*p + 2*d - 8. Suppose -2*a - p = -7. Let m be (-1 - -9)*(-1)/(-2). Which is bigger: a or m?
m
Let b(f) be the second derivative of f**5/20 + f**3/6 + f**2/2 + f. Suppose 0 = a - 3*a. Let i ... | {
"pile_set_name": "DM Mathematics"
} |
74. Let b be x(-10). Let s be -24*((-27)/2)/3. Let r = b - s. Is 18 a factor of r?
False
Let n be ((-6)/(-5))/3 - 92/(-20). Let v be (-3 - (-628)/2) + -6 + n. Suppose h - v = -h. Is 22 a factor of h?
False
Is 25 a factor of (59/2 + 2)*278*3/9?
False
Let f be 2/(((-16)/(-8))/(-722)). Does 23 divide (-381862)/f + 4/38?
T... | {
"pile_set_name": "DM Mathematics"
} |
igger: 0 or m?
0
Let p = 16301/9 - 1809. Which is bigger: p or 1?
p
Let s = -4 - -7. Let w = 2.99 - s. Is 0.1 greater than w?
True
Let r(c) = c + 4 - 6 + c. Let g be r(2). Is g < 1?
False
Let p = 3/62 + -201/310. Suppose 5*g - g = -64. Let i = 16 + g. Which is bigger: p or i?
i
Let p = -2 - -3. Is 0 greater than p?
Fal... | {
"pile_set_name": "DM Mathematics"
} |
-51?
True
Is 69/11 <= 7?
True
Is 4648 equal to 1/3?
False
Is -129 at least -129?
True
Is -134 equal to -133?
False
Is 68/23 <= 4?
True
Is 0 less than 12/97?
True
Is 10268/11 at most 932?
False
Which is bigger: -35 or -836/23?
-35
Which is smaller: 1/16 or 39?
1/16
Is 12464 >= 12464?
True
Are -4016 and -4014 unequal?
Tr... | {
"pile_set_name": "DM Mathematics"
} |
4*v + 376*v**2 + 3 + 3*v**3 + 3*v + 0 as b*v**2 + s + n*v + t*v**3 and give s.
3
Rearrange (-1 + q + 4*q - 4*q)*(-4 - 2 + 3) to the form u*q + x and give u.
-3
Rearrange k - k + k + (-k + k - 4*k)*(-1 + 0 - 3) + 2*k - 2 + 2 to the form g*k + j and give g.
19
Rearrange (-4*a + 4*a + 2*a)*(0*a**2 + 0*a**2 + 7*a**3) + a**... | {
"pile_set_name": "DM Mathematics"
} |
se -2*t = -6 + 2. Solve 0 = -t*v + 4*s + 12, 0*v + v - 11 = 3*s for v.
-4
Let j(n) = n**3 + 11*n**2 - n - 15. Let y be j(-11). Let k be (-1)/y - (-77)/28. Solve -4*f + 5*h - 4*h = -6, 0 = 3*f - k*h for f.
2
Let b = 2 + -1. Suppose 5 = k + b. Solve k*d + l - 20 = 0, 0*d = 2*d - 3*l + 4 for d.
4
Suppose p - 16 = -3*q, 5*... | {
"pile_set_name": "DM Mathematics"
} |
-h**5/60 - h**4/24 + 2*h**3/3 + 27*h**2 + 1. Give u(4).
-16
Let z(p) be the second derivative of -p**4/12 - 2*p**3/3 - 5*p**2/2 + 67*p. Give z(-2).
-1
Let r(q) = 36*q - 2. Let o(d) = -7*d - 1. Let f(p) = 4*o(p) + r(p). Calculate f(3).
18
Let n(j) = j. Let c(t) = -20*t**2 + 22*t + 20. Let p(x) = -8*x**2 + 9*x + 8. Let h... | {
"pile_set_name": "DM Mathematics"
} |
?
-4/3
Suppose -10 = 5*t - 3*o, 3*t - 2*o = -4 - 3. Let g = 2104/13 + -162. Which is the nearest to t? (a) g (b) 2/7 (c) 0.3
c
Let m = 4.2 + -3.7. Which is the closest to 2? (a) 2/17 (b) m (c) 5
b
Let f = -28 + 27. What is the nearest to f in 3, -4, -3?
-3
Let h(d) = d**2 + 8*d - 6. Let y be h(-9). What is the ne... | {
"pile_set_name": "DM Mathematics"
} |
Let v = 8370 - 6945. What is the units digit of v?
5
Suppose -g - 2 - 1 = 0, 0 = -3*p - 5*g + 183. Suppose -2*t - 149 = -3*t - 3*u, 665 = 5*t - u. Let f = t - p. What is the tens digit of f?
6
Suppose -11*c = -14*c. Suppose b - 4*o = 461, -5*b + 14*o - 9*o + 2230 = c. What is the tens digit of b?
4
Suppose 15*j = 13*j ... | {
"pile_set_name": "DM Mathematics"
} |
base 8?
-5232
What is -1322113 (base 4) in base 13?
-3745
11121323 (base 4) to base 9
33328
What is -201000 (base 3) in base 7?
-1332
Convert -123543 (base 7) to base 9.
-34380
Convert -1010001101101 (base 2) to base 6.
-40113
Convert 300 (base 7) to base 3.
12110
What is -767 (base 9) in base 3?
-212021
425304 (base 6... | {
"pile_set_name": "DM Mathematics"
} |
at is the product of 316 and -116667?
-36866772
-1105495 * 11
-12160445
What is the product of 27690406 and -1?
-27690406
What is -6468 times -12504?
80875872
Product of -3053 and 36.429.
-111217.737
Work out -1.93 * 34423.
-66436.39
Calculate 29086*-14636.
-425702696
What is the product of -4988565 and -4?
19954260
-1... | {
"pile_set_name": "DM Mathematics"
} |
96
1838 (base 9) to base 15
642
What is -36526 (base 8) in base 14?
-5a18
What is 481 (base 9) in base 3?
112201
-2157 (base 10) to base 5
-32112
d020 (base 14) to base 11
24905
Convert 101001110101101 (base 2) to base 9.
32341
What is -2d8c (base 15) in base 13?
-4605
1014 (base 8) to base 11
437
What is -15035 (base ... | {
"pile_set_name": "DM Mathematics"
} |
t*v and give o.
2
Rearrange 13*t**4 + 34966*t**3 + 6 + 2*t - 1 - 34968*t**3 to o + g*t**2 + x*t + f*t**3 + v*t**4 and give o.
5
Rearrange 5*x**4 + x**4 - 23*x**2 - 26*x**2 - 10 + 33*x**2 + 0*x**4 to the form v*x + y + r*x**4 + w*x**2 + t*x**3 and give w.
-16
Rearrange -308*h**4 + h**2 + 4*h + h**3 + 60703853 - 60703855... | {
"pile_set_name": "DM Mathematics"
} |
+ 190*g.
-463*g
Collect the terms in -249*g**2 - 4 + 250*g**2 + 5 - 1.
g**2
Collect the terms in 25 - 3*h - 2 - 23.
-3*h
Collect the terms in 1 - 941*r**2 + 0*r + 0*r.
-941*r**2 + 1
Collect the terms in -24*m**2 + 1073 - 1073.
-24*m**2
Collect the terms in -j + 13*j + 0*j.
12*j
Collect the terms in -2 + 0 + 2 + 10*x**... | {
"pile_set_name": "DM Mathematics"
} |
941, -4103, -4267, -4433, -4601, -4771?
-f**2 - 157*f - 3623
What is the z'th term of 4475, 7125, 9775, 12425, 15075, 17725?
2650*z + 1825
What is the k'th term of -18344, -32143, -45942?
-13799*k - 4545
What is the n'th term of 9287939, 37151875, 83591769, 148607621, 232199431?
9287979*n**2 - n - 39
What is the y'th t... | {
"pile_set_name": "DM Mathematics"
} |
lve 4*x + 3 = m, -3*m + 3249*x - 3244*x = -2 for m.
-1
Solve -3*c + 507 = -5*l + 518, -8 = -2*l for c.
3
Solve r - 3*q - 18 = 0, 0 = 2*r - 5*q - 168 + 137 for r.
3
Solve 531 = 5*h - 2*c + 557, -4*c = 5*h - 52 for h.
0
Solve -4*i + 5*y - 10 = 0, i + 3*i + 166 = 31*y for i.
5
Solve -3*i = -12, 16419*i - 16418*i - 29 = -5... | {
"pile_set_name": "DM Mathematics"
} |
r m.
3
Let n be ((-6)/(-5))/(14/(-35)). Let d be -10*n*3/18. Solve -d*h = 9 + 6 for h.
-3
Let n(s) = s**2 - 9*s + 3. Let r be n(9). Let w(g) = 2*g**3 + 2. Let m be w(r). Suppose m = 3*z - 4. Solve z = -3*f + 8 for f.
-4
Suppose 0*a + 5*a = 0. Let q(p) = 6*p - 1. Let b be q(1). Suppose -263 = -4*g - 255. Solve a = b*t -... | {
"pile_set_name": "DM Mathematics"
} |
what is 5 + -377351?
-377345
In base 13, what is -2a482 - 5?
-2a487
In base 10, what is -22380 + -201?
-22581
In base 12, what is 1832 - -25b?
1a91
In base 11, what is 13 + -2375?
-2362
In base 9, what is -5 + 15808?
15803
In base 11, what is 5512 - -1a1?
5703
In base 7, what is 2 - -1345335?
1345340
In base 5, what is... | {
"pile_set_name": "DM Mathematics"
} |
est common divisor of 3393 and 117.
117
Calculate the greatest common factor of 76 and 1384.
4
Calculate the greatest common factor of 60 and 960.
60
What is the greatest common factor of 55 and 2959?
11
What is the highest common divisor of 21 and 24?
3
What is the highest common factor of 180 and 2385?
45
Calculate t... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 0 = 4*h - 5*w + 2, -h - 3*w + 26 - 18 = y. Which is bigger: h or -4?
h
Let j = -6.093 - -10.093. Let g = 31/33 - 949/132. Is j less than g?
False
Let y(a) = a**2 + 7*a - 134. Let t be y(-15). Suppose 4*n - 3 = i - 4, 3*i = -3*n - 42. Which is bigger: t or i?
i
Let n be (40/5)/2*(-2)/4. Let p be (30/5 + -5)/((-1... | {
"pile_set_name": "DM Mathematics"
} |
j - m*r = 6. What is the common denominator of 1/(-3)*201/j and 46/11?
22
Suppose 0 = x - 3 - 0. Suppose x*h - 47 = -17. Calculate the lowest common multiple of 24 and h.
120
Let j = 8 + -4. Suppose j*n = 26 + 46. Calculate the lowest common multiple of n and 14.
126
Let x be ((-35)/(-10))/((-30)/(-147)). Let r = x + -... | {
"pile_set_name": "DM Mathematics"
} |
thout replacement from {w: 1, e: 3, d: 1, k: 1, a: 6}.
9/110
Calculate prob of picking 2 f when two letters picked without replacement from {s: 11, f: 2}.
1/78
Calculate prob of picking 3 x and 1 r when four letters picked without replacement from xxrxfrxrxr.
4/21
Calculate prob of picking 2 v when two letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
composite?
False
Let y = 262 + -246. Suppose -y*f = -6*f - 23170. Is f a composite number?
True
Let c(m) = -m**3 + 12*m**2 + 18*m + 6. Let y be c(-8). Let j = y - 1647. Let l = j + 804. Is l prime?
False
Suppose -48*p + 23447478 = 1914822. Is p a prime number?
True
Let l = -17531 + 9028. Let t = l + 14966. Is t a compo... | {
"pile_set_name": "DM Mathematics"
} |
h(k) - x(k).
633*k**2 + 2*k - 3
Let r(c) = 10*c - 16045. Let d(l) = -13*l + 21404. Give -7*d(x) - 9*r(x).
x - 5423
Let l(j) = -3645*j. Let p(x) = 1232*x. What is 3*l(i) + 10*p(i)?
1385*i
Let b(y) = 96*y**3 - 72*y**2 - 72*y + 72. Suppose 0 = 64*u - 62*u - 144. Let x(r) = -r**3 + r**2 + r - 1. Give u*x(d) + b(d).
24*d**3... | {
"pile_set_name": "DM Mathematics"
} |
-3
Let x = 5 - 5. Suppose -4*b - 3*n = 0, 3*n + x*n = 3*b. Sort 4, b, 3.
b, 3, 4
Suppose 4*l + y + 10 = l, 5*l = -4*y - 12. Put 32, 0, l, 4 in descending order.
32, 4, 0, l
Let r(q) = q - 19. Let u be r(17). Let s = -1 - 2. Sort u, s, -1.
s, u, -1
Let h = -15 + 13. Put h, -5, -1 in decreasing order.
-1, h, -5
Let l(g)... | {
"pile_set_name": "DM Mathematics"
} |
**2) - 20 - 4*c**5 + 20 - 4*c**4 - 2*c**5 + 4*c**4.
-5*c**5
Expand (-3 + 4 + 1)*(0 + 0 + 2*o + (-2*o + 3*o + o)*(1 - 3 - 3) + (6*o + 17 - 17)*(-5 + 3 + 3)).
-4*o
Expand (-j**4 + 0*j + 0*j + 4*j)*(5 - 4 + 1).
-2*j**4 + 8*j
Expand (1 + 1 - 4)*(1 - 1 + o)*(-4331 + 4331 + 33*o**2).
-66*o**3
Expand (v - 2*v + 2*v)*(v + 2 - ... | {
"pile_set_name": "DM Mathematics"
} |
/3)/((z/((z**0*z)/z))/(z**(-18)*z)) assuming z is positive.
z**(-146)
Simplify (q**(-15)/(q/(q/(q/q**(-5/6)))*q))/((q*q**(-7)*q*q)/((q/((q/(q*q**(13/4)/q))/q*q))/q)) assuming q is positive.
q**(-139/12)
Simplify (q**(1/7)/q)/(q/q**3)*q**(2/5)*q*q/((q**(-4/5)/q)/q) assuming q is positive.
q**(222/35)
Simplify (i**(-23)*... | {
"pile_set_name": "DM Mathematics"
} |
24 = -6*g. Let l(o) = 19*o**2 - g*o**2 - 11*o**2. Determine v(l(b)).
8*b**4
Let s(b) = -b**2. Let t(h) be the first derivative of -h**2 + 5. Determine t(s(z)).
2*z**2
Let n(b) = 54 + 52 + 2*b - 106. Let a(r) = 24*r. Determine a(n(d)).
48*d
Suppose -2*u + 5*u - 5*p = 29, 0 = p + 4. Let t(j) = -5*j + 5*j + j - u*j. Let ... | {
"pile_set_name": "DM Mathematics"
} |
g = -s for g.
1
Let c = -291 - -291. Solve c = 5*o - 4*o + 2 for o.
-2
Let w be ((-12)/4*2)/2. Let v(s) be the first derivative of s**3/3 + 3*s**2/2 + s - 1. Let l be v(w). Solve -3 = -d + l for d.
4
Suppose 3*p + 3*q = 2*p - 3, 4*q = -5*p + 7. Suppose -j - 2*s + 1 = -7, s - 4 = p*j. Suppose j*d - 5*d + 25 = 0, 5*d = -... | {
"pile_set_name": "DM Mathematics"
} |
*q(b).
b**3 - b**2 + b
Let r(i) = i - 3. Let z(y) = -10 + 20 - 11. Determine -r(g) - 2*z(g).
-g + 5
Let c(p) = 2 + p**2 - 5*p + 4*p**3 + 1 - 9. Let a(b) be the second derivative of 3*b**5/20 + b**4/12 - 2*b**3/3 - 5*b**2/2 - 9*b + 5. What is 5*a(q) - 4*c(q)?
-q**3 + q**2 - 1
Let p(w) = -2*w - 11. Let r be p(-9). Let t ... | {
"pile_set_name": "DM Mathematics"
} |
uppose m(k) = 0. What is k?
-2, 0
Let m be ((-15)/(-27))/((-300)/(-90)). Factor -1/2*u + m + 1/3*u**2.
(u - 1)*(2*u - 1)/6
Suppose -k + 8 = d, -2*k + 3*d - 6 = -42. Let n be 3/(-8)*k/(-18). Factor -1 - n*z**2 - z.
-(z + 2)**2/4
Let g = -44 - -46. Factor 8/5*d - 8/5 - 2/5*d**g.
-2*(d - 2)**2/5
Let j(f) = -14*f**2 + 14. ... | {
"pile_set_name": "DM Mathematics"
} |
*2 + z. Let y be k(-1). Suppose -a = -1 - y. Is a prime?
False
Let p = 6 - 4. Let q(s) = 1 + 2*s - 3*s**p - 4 + s**3 + 0*s. Is q(4) a prime number?
False
Suppose -4*d - 20 = d. Is 2 + 4/(d/(-35)) a prime number?
True
Let a = -208 - -337. Suppose 19 = 4*d - a. Is d a composite number?
False
Let x(c) = -5*c**3 + 4*c**2 +... | {
"pile_set_name": "DM Mathematics"
} |
1
Which is the biggest value? (a) -1 (b) 11 (c) 0.1 (d) 0 (e) -6
b
What is the second smallest value in -688, -0.4, -0.2?
-0.4
What is the fifth smallest value in -4, -7, 4/3, 112, -1/4?
112
What is the fifth smallest value in 5, -2/17, -0.3, -0.1, -3/14?
5
Which is the second smallest value? (a) -1/5 (b) -0.081... | {
"pile_set_name": "DM Mathematics"
} |
vided by 6.
-2581/6
Divide 371 by 53.
7
1516 divided by 379
4
What is 14424 divided by 601?
24
What is -70 divided by -70?
1
Divide 80 by 80.
1
Divide -31 by -283.
31/283
What is -1 divided by -162?
1/162
Calculate -525 divided by 175.
-3
Divide -7110 by 1422.
-5
24864 divided by 74
336
-5 divided by -5760
1/1152
-4506... | {
"pile_set_name": "DM Mathematics"
} |
r of 67/4 and d.
8
Let q be 4/(-4) + 113 + -2. Suppose 6*v - v - q = 0. Let i = 24 - 12. Calculate the lowest common multiple of v and i.
132
Let x = 11395/9 - 1263. Let c = 12 - 10. Find the common denominator of x and -1*c - (-348)/(-96).
72
Let s(q) = q + 17. Let v be s(-15). Suppose -v*o + 1 = -5. What is the least... | {
"pile_set_name": "DM Mathematics"
} |
git of 4105?
1
What is the tens digit of 35825?
2
What is the hundreds digit of 481?
4
What is the thousands digit of 107208?
7
What is the ten thousands digit of 48296?
4
What is the thousands digit of 4116?
4
What is the hundreds digit of 1001?
0
What is the thousands digit of 2800?
2
What is the units digit of 3032?... | {
"pile_set_name": "DM Mathematics"
} |
the nearest 1000000.
404000000
What is 0.0000422249 rounded to 5 decimal places?
0.00004
Round 0.0474862 to four dps.
0.0475
Round 0.0000451742 to 7 decimal places.
0.0000452
What is -0.1080403 rounded to 4 dps?
-0.108
What is 0.114957 rounded to four decimal places?
0.115
What is -0.00061329 rounded to 5 dps?
-0.0006... | {
"pile_set_name": "DM Mathematics"
} |
b?
1/6
Calculate prob of sequence aga when three letters picked without replacement from agvavvvvn.
1/252
Two letters picked without replacement from bhpbhbnbbbpbbb. What is prob of sequence bh?
9/91
Four letters picked without replacement from qawjaaqqatqea. What is prob of sequence qwaq?
1/286
What is prob of sequenc... | {
"pile_set_name": "DM Mathematics"
} |
x - 0*x + 15. Let v = 28 + x. What is the remainder when 23 is divided by v?
10
Let y(j) = -2*j - 2. Suppose k - v = 5*k + 25, 4*v + 20 = 0. Suppose 0 = -0*l - l + 15. Calculate the remainder when l is divided by y(k).
7
Suppose 0*f + 172 = 4*f. Let a = 27 - 12. Calculate the remainder when f is divided by a.
13
Calcul... | {
"pile_set_name": "DM Mathematics"
} |
is the tens digit of n?
1
Let x(m) = m**3 + 5*m**2 + 5. Let n be x(-5). Suppose -5*o - 4*v = 3, -n + 2 = -3*o - 4*v. What is the tens digit of 21 + o/(12/16)?
1
Suppose -456*k = -463*k + 21462. What is the thousands digit of k?
3
Let g(t) = -3*t - 2. Let n be g(-3). Suppose -50 = -n*y + 524. What is the units digit of ... | {
"pile_set_name": "DM Mathematics"
} |
(a) 39 (b) -1/3 (c) 5 (d) 0
d
What is the closest to 6 in -3, 0.3, -1/2?
0.3
Which is the closest to -3? (a) 5 (b) 0 (c) 7 (d) -2
d
What is the nearest to 0.8 in -2.6, -0.4, 1/12?
1/12
Which is the closest to -145? (a) 1/2 (b) 0.07 (c) -0.2
c
What is the closest to -4 in -0.4, -1, -113?
-1
Which is the near... | {
"pile_set_name": "DM Mathematics"
} |
- 1
Let p(j) = -5*j**2 + 6*j - 4. Let x(r) = 13*r - 9. Determine -5*p(c) + 2*x(c).
25*c**2 - 4*c + 2
Let p(c) = -5*c**3 + 22*c - 27. Let l(n) = -24*n**3 + 110*n - 126. What is -6*l(b) + 28*p(b)?
4*b**3 - 44*b
Let t(r) = -r**3 - 3*r**2 + 3*r - 2. Let w(n) = 3*n**3 + 75*n**2 - 17*n + 8. What is 5*t(j) + w(j)?
-2*j**3 + 6... | {
"pile_set_name": "DM Mathematics"
} |
- 5*d**2).
-185*d**4
Expand (3426*t - 1947*t + 8379*t)*(-t - 2*t + t).
-19716*t**2
Expand 5*f**3 - 5*f**3 + f**3 + (f + 2*f - f)*(-2*f**2 + 0*f**2 + 0*f**2 + (3 - 3 + f)*(-4 + 4 - 2*f) + f**2 + 3*f - 3*f + 2*f - 420*f**2 + 0*f - 475*f**2).
-1795*f**3 + 4*f**2
Expand (-3*p - p**4 + 3*p)*(1067 + 2770 - 136).
-3701*p**4
E... | {
"pile_set_name": "DM Mathematics"
} |
es after 12:57 AM?
12:01 PM
How many minutes are there between 11:24 AM and 4:45 PM?
321
What is 123 minutes before 9:17 AM?
7:14 AM
How many minutes are there between 9:51 AM and 2:28 PM?
277
How many minutes are there between 12:00 PM and 5:04 PM?
304
What is 660 minutes before 1:23 PM?
2:23 AM
What is 503 minutes be... | {
"pile_set_name": "DM Mathematics"
} |
4)
Simplify (b**(-14)/(b*b*b*b*b**8*b*b))/(b**(-1/14)*b)**(-26) assuming b is positive.
b**(-27/7)
Simplify (b**(-3/4))**39*(b**12*b*b)/b**(-4/13) assuming b is positive.
b**(-777/52)
Simplify (m**(1/4)*m/((m**(-3/5)/m*m)/m)*m**(-2/5)*m/(m/(m**4/m)))**21 assuming m is positive.
m**(2289/20)
Simplify (i**(-1/11)/i*i/(i*... | {
"pile_set_name": "DM Mathematics"
} |
ase 13) in base 14?
-71d
Convert -32636 (base 9) to base 2.
-101010010011100
What is -22401 (base 5) in base 6?
-11225
What is -221222121 (base 3) in base 13?
-8812
What is 43311 (base 5) in base 4?
232030
Convert 2d84 (base 14) to base 8.
17730
Convert 440103 (base 6) to base 8.
106747
What is -1001011000 (base 2) in ... | {
"pile_set_name": "DM Mathematics"
} |
a.
3
Let l be (-2)/((50/(-65))/5). Suppose -3*d + l*d = 3*d. Solve 2*g = -d*g for g.
0
Let x be (-2)/(-7) - 759/(-161). Solve 4*z - x*z = -3 for z.
3
Suppose -15*l = -13*l + 20. Let w = -6 - l. Solve -w*c + 6 = 26 for c.
-5
Suppose -5*k = 4*b + 34 - 84, 2*k - 22 = -2*b. Solve 0 = c + 1 - k for c.
5
Let i(v) = -v**3 - 1... | {
"pile_set_name": "DM Mathematics"
} |
-1/2, 0, 5/6
Put 28/3, 1/23, -0.34, 1/3 in descending order.
28/3, 1/3, 1/23, -0.34
Put -1/2, 0.3, 2/13, -4/7, 8, -0.6 in descending order.
8, 0.3, 2/13, -1/2, -4/7, -0.6
Put -25, 2, -2, -9873 in descending order.
2, -2, -25, -9873
Put -142, -1, -78, -4 in ascending order.
-142, -78, -4, -1
Sort -3, -15, 5, 898, 3.
-1... | {
"pile_set_name": "DM Mathematics"
} |
that -2*o**2 + 3246*o + 19548 = 0.
-6, 1629
Factor u**2/5 - 168523952*u/5 + 7100080599424576/5.
(u - 84261976)**2/5
Factor 19*m**2/5 - 8402*m/5 - 173712/5.
(m - 462)*(19*m + 376)/5
Determine p, given that -5*p**4 - 1067590*p**3 - 56995960080*p**2 - 911643932410*p + 968640960085 = 0.
-106751, -17, 1
Find b such that -6*... | {
"pile_set_name": "DM Mathematics"
} |
is the third derivative of 25*o**4 - o**3 - 220*o**2?
600*o - 6
What is the derivative of c*x**3 - 41*c*x + 20*c + x**3 + 163*x**2 - 10 wrt c?
x**3 - 41*x + 20
What is the third derivative of a*c**3*x**3 + 2*a*c**2*x - 53*a*c*x**3 + 3*c**3*x**2 + c**3*x + 11*c**2*x**2 - 28*c*x**3 wrt x?
6*a*c**3 - 318*a*c - 168*c
What... | {
"pile_set_name": "DM Mathematics"
} |
equal to 922769?
True
Which is bigger: -1 or -2/58298259?
-2/58298259
Which is smaller: -114540 or -114541?
-114541
Is 434/1075 bigger than -1?
True
Is 59755 bigger than 59752?
True
Is 21 < 1372/65?
True
Which is bigger: 14 or 1555?
1555
Are 307 and 24 non-equal?
True
Which is greater: -7.738 or -2/9?
-2/9
Is 1195602 ... | {
"pile_set_name": "DM Mathematics"
} |
In base 6, what is -3 + 505514?
505511
In base 8, what is -137 - -15256?
15117
In base 5, what is -4 + -2012433?
-2012442
In base 7, what is -4 + 261646?
261642
In base 16, what is -81a + 42?
-7d8
In base 13, what is 1 - -1907b7?
1907b8
In base 12, what is 4 - -8605?
8609
In base 9, what is 27 - 48371?
-48343
In base 3... | {
"pile_set_name": "DM Mathematics"
} |
Let m = i + -1942. Which is the smallest value? (a) 14 (b) m (c) l
c
Let f = -124 + 303. Let s = -182 + f. Which is the third biggest value? (a) s (b) 2 (c) -0.01
a
Let k = 65 + -114. Let o = k + 48.9. Let z be ((-5)/15)/((-2)/30). Which is the second biggest value? (a) o (b) -0.04 (c) z (d) -2
b
Let d = 150 ... | {
"pile_set_name": "DM Mathematics"
} |
er.
i, 2, l
Suppose 4*x = -7*x. Sort -5, x, 3.
-5, x, 3
Let s = -3.75 + 3.75. Let d = 0.9 - -0.1. Sort 3, s, d in increasing order.
s, d, 3
Let v be -4*(-1 - -1 - 1). Let f(a) = a**2 + 3*a - 2. Let j be f(-3). Let m be (6/(-9))/((-2)/15). Sort m, j, v in ascending order.
j, v, m
Let v be (-1)/((2/6)/(-1)). Suppose -w =... | {
"pile_set_name": "DM Mathematics"
} |
2/5)/f*f*f*f*f**12*f)/((f*f/(f**(-31)/f)*f)/f*f**(-2/21)) assuming f is positive.
f**(-1943/105)
Simplify (w/(w**3/w))/(w/(w*w*w*w/w**(1/3)))*(w**(1/4))**5 assuming w is positive.
w**(35/12)
Simplify (l**(-1/2))**(2/59)*l**(-16)*l/(l*l**(-10)) assuming l is positive.
l**(-355/59)
Simplify ((f*f**(-8/3))/(f/(f/f**(-18))... | {
"pile_set_name": "DM Mathematics"
} |
y
Let g be ((-6)/(-9))/((-68)/(-60) + -1). Put -3, 2, -8, g in descending order.
g, 2, -3, -8
Let u = -19 - -11. Let r = 11 + u. Put r, -2/11, 13 in ascending order.
-2/11, r, 13
Let x = -6 + 14. Let l be 4/(-10) - x/30. Put -1, -4, l in decreasing order.
l, -1, -4
Let o = -0.3 - -0.26. Let f = -5.04 - o. Let h = -1 -... | {
"pile_set_name": "DM Mathematics"
} |
-4 - 10. Let l = h + g. Is l a multiple of 5?
True
Let g(m) = 2*m + 291. Let j(f) = f**2 + f - 2. Let p be j(-2). Let a be g(p). Let z = a - 200. Does 23 divide z?
False
Let j(r) = 6*r - 48. Let s be j(6). Let q(a) = -a - 2. Does 4 divide q(s)?
False
Let c(t) = 8*t**2 - 8*t + 0*t + 12 - 5*t**2. Let q be c(6). Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
hich is the biggest value? (a) p (b) -2/11 (c) -23 (d) -1/5
a
Let d be 4/22 + (-62)/(-22). Let m be 52/d + 4/6. Let n be m/24*(-2)/(-3). Which is the smallest value? (a) 4 (b) 1/4 (c) n
b
Suppose -h - 351 + 1106 = 0. Let a be ((-4)/90)/(1/h). Let p = a - -101/3. What is the third smallest value in p, 3, -2/9?
3
... | {
"pile_set_name": "DM Mathematics"
} |
i(m) = 6*m**2 + 31*m + 4. Let c be i(w). What is k(c)?
7
Let d = -5 + 8. Let l = 50 + -48. Let c(j) = 15*j**2 + d - 7*j - 4*j**l - 7*j**2 - 3*j**2. Determine c(7).
3
Suppose -7*q = 4*q + 121. Let m(h) = 32*h + 9. Let p(z) = 16*z + 5. Let t(f) = q*p(f) + 6*m(f). What is t(-1)?
-17
Let j(a) = 607 + 0*a**2 - a**2 - 603 +... | {
"pile_set_name": "DM Mathematics"
} |
r, 9588 = 4*x - 4*r. Let y = x - 1652. List the prime factors of y.
3, 83
Let n(k) be the third derivative of k**6/20 + k**5/30 + k**4/8 - 11*k**3/2 + 2*k**2 - 5. List the prime factors of n(5).
2, 17, 23
Suppose -m = 4*l - 2299, 0 = 2*m - 3*l - 0*l - 4653. What are the prime factors of 40/120*(m - 0)?
773
Let k = -58 ... | {
"pile_set_name": "DM Mathematics"
} |
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