text stringlengths 270 8.19k | meta dict |
|---|---|
3 + 3311*y**2 + 10788*y.
-y*(y - 29)*(y + 3)*(y + 124)
Factor 5*o**2 - 3265*o - 2528520.
5*(o - 1109)*(o + 456)
Let -w**4 + 2601*w**3 + 183075*w**2 + 3085075*w - 3270750 = 0. Calculate w.
-35, 1, 2670
Factor b**3/12 + 44588923*b**2/12 + 124260747820130*b/3 - 124260758967361/3.
(b - 1)*(b + 22294462)**2/12
Factor k**2/4... | {
"pile_set_name": "DM Mathematics"
} |
ams are there in 17/2 of a kilogram?
8500
Convert 24.8042ng to tonnes.
0.0000000000000248042
Convert 8977.008 seconds to milliseconds.
8977008
How many millimeters are there in 255.5643 nanometers?
0.0002555643
What is 0.0163124ng in milligrams?
0.0000000163124
What is nineteen quarters of a millimeter in micrometers?
... | {
"pile_set_name": "DM Mathematics"
} |
3))*-3 - sqrt(3)).
-5*sqrt(17)/2
Simplify (sqrt(7) + (sqrt(7) - -4*3*sqrt(7)))*2.
28*sqrt(7)
Simplify 2*(1 + sqrt(84)/(sqrt(24)/sqrt(2))).
2 + 2*sqrt(7)
Simplify ((-6*(sqrt(132) + sqrt(132)*-1))/(sqrt(24)/sqrt(2)*-4))**2.
0
Simplify (-1 + sqrt(99))*5.
-5 + 15*sqrt(11)
Simplify 6*sqrt(5)*-4*5*-6.
720*sqrt(5)
Simplify 4 ... | {
"pile_set_name": "DM Mathematics"
} |
6*p + 7. Let g be k(16). Let y(t) = -28*t - 42. Let b be y(g). Does 19 divide b/21*((-54)/(-4))/(-3)?
False
Let s(f) = -52*f + 184. Is 7 a factor of s(-11)?
True
Let s = 12562 + 4842. Is 11 a factor of s/133 + 6/(-7)?
False
Suppose -5*t = 3*i - 149, 3*i - 2*i - 3*t = 45. Let p = 50 - i. Suppose j = -p*q + 196, -2*q - 2... | {
"pile_set_name": "DM Mathematics"
} |
a
Which is the fourth smallest value? (a) 137 (b) 47 (c) 3.8 (d) 2
a
Which is the fourth biggest value? (a) -1 (b) -5 (c) -360 (d) -0.2 (e) 0.5 (f) 39
a
What is the second smallest value in 4, -5, 254?
4
What is the third smallest value in -114, 26, 2/19?
26
Which is the biggest value? (a) -0.2197 (b) 3 (... | {
"pile_set_name": "DM Mathematics"
} |
is prob of sequence lvve?
1/612
Four letters picked without replacement from vyhgvyy. Give prob of sequence gyvv.
1/140
What is prob of sequence ddb when three letters picked without replacement from {b: 7, d: 5}?
7/66
Two letters picked without replacement from {z: 3, t: 1, b: 1}. Give prob of sequence zz.
3/10
What i... | {
"pile_set_name": "DM Mathematics"
} |
-25. Let k(s) = 65333*s + 3. Let w be k(9). Suppose -x - h*x = -w. What is x rounded to the nearest ten thousand?
150000
Let x = 75.153 + -75.260238. Let w = x - -0.108. What is w rounded to five dps?
0.00076
Suppose 1103710606 = -65*c - 1713421595 - 7154517799. What is c rounded to the nearest one million?
-153000000... | {
"pile_set_name": "DM Mathematics"
} |
100)/(-6) - 2). Let a(z) = -272*z + 538*z + 29 + 3822221*z**2 - h*z. Let v be a(3). What is v rounded to the nearest 1000000?
34000000
Let y = 151 + -49. Let n = 174 - y. Let k = n + -71.9932. What is k rounded to three dps?
0.007
Let r = -5831.777 + 5536.776968. Let f = 295 + r. What is f rounded to six decimal places... | {
"pile_set_name": "DM Mathematics"
} |
6) to base 8
-3371501
What is -10100101101111000110100 (base 2) in base 9?
-11186632
What is 51554243 (base 6) in base 5?
340231114
305839 (base 10) to base 14
7d659
117b873 (base 13) to base 4
110230020122
Convert 3528e (base 16) to base 8.
651216
Convert -32110013 (base 4) to base 7.
-332636
Convert -156ab7 (base 12)... | {
"pile_set_name": "DM Mathematics"
} |
3.
-34/9
Evaluate ((-49)/((-26)/(-78)*-15))/(9/(-45)).
-49
What is 3*-43*35/(-16555)?
3/11
15/(-100)*16*(-9)/(-18)
-6/5
What is ((-13)/5)/((-4)/(-1050)*7)*(-58)/290?
39/2
(22260/5300)/(2/(630/343))
27/7
3/(-2)*(-8)/(-744)*63*(-88)/(-13860)
-1/155
Calculate 13728/10296*555/10.
74
What is the value of (2574/(-557700))/((... | {
"pile_set_name": "DM Mathematics"
} |
5. Suppose 3*i = n + 6, 5*i + n = 11 - 1. Solve 3*d + 0*t + v = -2*t, -i*d + 4*t - 16 = 0 for d.
-4
Let j(r) = -21*r - 60. Let d be j(-4). Solve -5*s + 5*c = 0, 7*c = -s + 2*c + d for s.
4
Let b(y) = 12*y**2 - 8*y - 8. Let u(g) = -8*g**2 + 5*g + 5. Let a(h) = -5*b(h) - 8*u(h). Let r be a(-1). Solve -q + 1 = r*d, -6*d =... | {
"pile_set_name": "DM Mathematics"
} |
ithout replacement from {m: 1, p: 2, k: 2, u: 1, j: 1}.
1/105
Two letters picked without replacement from {p: 3, b: 4, s: 6}. What is prob of sequence ss?
5/26
What is prob of sequence oon when three letters picked without replacement from {o: 3, n: 7, q: 4}?
1/52
Two letters picked without replacement from cllccllllll... | {
"pile_set_name": "DM Mathematics"
} |
z - 15614*z - 27 = 2*c, 3*c - 103 = -16*z for z.
7
Solve -8 = l, 11677*l - 11989*l = 4*o + 2504 for o.
-2
Solve 4*x - 24 = -2*t + 8, -5*x + 825 = 785 for t.
0
Solve -8 = 2*h + 2*g, 29*h - 2*g = -34*h - 35*h + 95*h - 27 for h.
-7
Solve 0*r + 8*r = -10*j + 346, -10 + 15 = j - 0*j for r.
37
Solve -3*c + 10 = -2*v, -3*c - ... | {
"pile_set_name": "DM Mathematics"
} |
(c) 1
a
Suppose -x + 7 = 4*g, -4*x - 14 = -6*g + g. Suppose i - g*h - h - 18 = 0, 4 = -h. Let o be (i/15)/((-14)/(-20)). What is the nearest to 2 in 5, -3/7, o?
o
Let n = -37.61 + 34.61. Let s = 1/272 - -811/1360. Which is the closest to 1? (a) n (b) -3/4 (c) s
c
Let s = -173 - -157. Which is the nearest to 6? (a... | {
"pile_set_name": "DM Mathematics"
} |
Calculate c(-2).
29
Let c be (-42)/38 + (5 - 1581/323). Let m(s) = 19*s + 3. What is m(c)?
-16
Let r(k) = -6 + 2*k + 1 - 5. Suppose -62 = -2*m - 8*p, -5*m - 3*p + 6 + 30 = 0. Let g(f) = 5*f - 31. Let x(q) = m*g(q) - 8*r(q). Determine x(-10).
-3
Let h(f) = -f**3 + 3*f**2 + 2*f + 12. Let t be h(4). Suppose 0 = -11*o - 0... | {
"pile_set_name": "DM Mathematics"
} |
f).
-33
Suppose 190*o = 49*o - 9*o - 1950. Let m(s) = -s**2 - 13*s + 2. Calculate m(o).
2
Let p(y) be the first derivative of y**2/2 - 6*y + 6. Let l(m) = -22*m + 640. Let q be l(29). What is p(q)?
-4
Let j(g) = -27*g - 20. Let o(f) = 19*f + 13. Let l(u) = u**3 + 34*u**2 + 31*u - 71. Let b be l(-33). Let m(c) = b*j(c) ... | {
"pile_set_name": "DM Mathematics"
} |
9*f - 13*f)*(0 - 7 + 3).
-40*f
Expand (2 + 0 + 2)*(-195*o**2 + 192487 - 192487).
-780*o**2
Expand (2*p + 0*p - 4*p)*(0 + 17 - 64)*(4*p - 4*p - 8*p).
-752*p**2
Expand (l - l + 2*l)*(-4 + 4 + 2*l**2) + (-8*l - 6*l + 5*l)*(5*l + 4*l + 3*l)*(2 - 2 + 18*l).
-1940*l**3
Expand (5*g**4 - 3*g**4 + 3*g**4)*(-3 + 5 + 1)*(60*g + 8... | {
"pile_set_name": "DM Mathematics"
} |
)/(-40)*10*2508/(-264)?
-19
What is the value of (-120)/(-17340)*136*102?
96
(375/150)/((-1)/2*2/2)
-5
((-18)/(-15))/(((3680/(-24))/5)/(30/18))
-3/46
(70/168)/(51135/7792)
4/63
Calculate ((-3)/15)/(((-148)/(-444))/(3/(-81))).
1/45
(-2)/(-2668)*92*4/(-8)
-1/29
What is (24/80)/((-12)/(-100))*8/(-28)?
-5/7
What is the val... | {
"pile_set_name": "DM Mathematics"
} |
z(f) be the first derivative of -f**4/14 + 4*f**3/21 + 9. Solve z(k) = 0 for k.
0, 2
Let o(f) = -38*f + 2. Let k be o(3). Let z be (-2)/11 - k/132. Solve z*d**2 + 2/3 - 4/3*d = 0 for d.
1
Suppose -2*i = -6*i. Let n be i + 34/(-14) - -3. Factor n*x**3 - 2/7*x + 2/7 + 2/7*x**4 - 4/7*x**2 - 2/7*x**5.
-2*(x - 1)**3*(x + 1... | {
"pile_set_name": "DM Mathematics"
} |
t t = -3 - -17. Let q = 7 + t. Let n be 22/24 - (2 - q/12). Which is the third smallest value? (a) n (b) 1 (c) 3/4
b
Let k be 72/144 + (-3)/4. Which is the second smallest value? (a) -9 (b) -3/13 (c) k
c
Let r be ((-1)/15 - 407/(-1155))/(-1). What is the smallest value in r, 14/33, -0.4?
-0.4
Let i = -121 - -133.... | {
"pile_set_name": "DM Mathematics"
} |
factor of 14 and h?
2
Let r(s) = 11*s**2 + 2*s - 2. Let g be r(2). Let c = 87 - g. Suppose -5*j = 1 - c. Calculate the highest common divisor of 32 and j.
8
Let n(j) = 13*j**2 + 2*j + 3. Let f be n(-2). Let l(h) = h**3 - 9*h**2 - 6*h - 6. Let w be l(10). Calculate the highest common factor of f and w.
17
Let h = 318 - ... | {
"pile_set_name": "DM Mathematics"
} |
j(a) = -a**2 + a + 1. Let x be j(0). Let y(u) = u**2 - 5*u - 6. Let n be y(6). Suppose 6*k - 4*k = n. Solve -x = t - k*t for t.
-1
Suppose -14*c = -12*c - 4. Solve -c*f + 2 = -0*f for f.
1
Suppose -9 = 3*o - 3*b, -3*o = -o - 3*b + 9. Suppose r = -o*j - 3*j - 12, 0 = -r - j - 2. Solve r*p = -p for p.
0
Let h(d) = -2*d +... | {
"pile_set_name": "DM Mathematics"
} |
37100.
2, 3, 5, 3457
List the prime factors of 105887.
19, 5573
List the prime factors of 8354275.
5, 334171
What are the prime factors of 708904?
2, 7, 12659
What are the prime factors of 1330593?
3, 11, 61, 661
List the prime factors of 3495047.
17, 83, 2477
List the prime factors of 67399.
67399
What are the prime f... | {
"pile_set_name": "DM Mathematics"
} |
7 decimal places.
0.0000003
Let w = -202393.9484901241 + 202416.2111. Let u = -0.2626099359 + w. Let a = -22 + u. What is a rounded to 7 decimal places?
-0.0000001
Let u = 62 - 62. Suppose -1392 = -u*f - 6*f. Suppose -f = -5*l + l. What is l rounded to the nearest 10?
60
Let i be (-4)/2 - 1/((-1)/49297). Let z = i - 3... | {
"pile_set_name": "DM Mathematics"
} |
*c**5/30 + 389*c**3/3 + 1279*c**2. Differentiate w(q) with respect to q.
532*q
Let b(x) be the first derivative of -161 + 0*x - 29/2*x**2 + 0*x**4 - 182/5*x**5 + 0*x**3. Find the second derivative of b(h) wrt h.
-2184*h**2
Let f be 34/153 + (-68)/(-18). Suppose 0*q - f*q = -5*b - 140, 4*b = 4*q - 140. What is the first... | {
"pile_set_name": "DM Mathematics"
} |
6?
168
What is the least common multiple of 48 and 78?
624
What is the common denominator of -19/984 and 51/112?
13776
Calculate the common denominator of 119/6 and -13/454.
1362
What is the least common multiple of 108 and 108?
108
What is the least common multiple of 56 and 518?
2072
What is the least common multiple... | {
"pile_set_name": "DM Mathematics"
} |
o the power of 1/2, to the nearest integer?
428
What is 202 to the power of 1/2, to the nearest integer?
14
What is 351 to the power of 1/6, to the nearest integer?
3
What is the ninth root of 111232 to the nearest integer?
4
What is 19073 to the power of 1/3, to the nearest integer?
27
What is the square root of 2295 ... | {
"pile_set_name": "DM Mathematics"
} |
88)/8
Factor n**4 - 2908*n**3 + 2813958*n**2 - 901355996*n - 4577493055.
(n - 971)**3*(n + 5)
Determine m so that 2*m**2/17 + 4446*m/17 + 101200/17 = 0.
-2200, -23
Find r, given that 2*r**4/11 - 730*r**3/11 + 78568*r**2/11 - 2155616*r/11 + 13555584/11 = 0.
9, 28, 164
Factor h**3 - 196*h**2 + 2415*h - 6588.
(h - 183)*(h... | {
"pile_set_name": "DM Mathematics"
} |
a + 20 = -2*r + r - 22 for r.
20
Solve 5*a - 1129 = -83*v + 1273, 3*a + 120 = 4*v + 1 for v.
29
Solve 3*u + 4*w - 30 = 0, 3*u - w + 89 - 47 = 42 for u.
2
Solve 2 = 3*n - 3*l - l - 2 - 1, 8*n - 4*l - 40 = 0 for n.
7
Solve c - 58 = -2*y - 62, -4*y - 8 = 6*c for y.
-2
Solve 181*f - 99 = 214*f, -9*f + 4*f - 39 = 3*j for j.... | {
"pile_set_name": "DM Mathematics"
} |
m = 0.00295 + j. Let c = m - -0.01. Round c to six decimal places.
-0.000005
Let l = 0.4 + -0.40000036. Round l to seven decimal places.
-0.0000004
Let p = 42 - 69. Let a = p + 27.00000044. What is a rounded to seven dps?
0.0000004
Let l = -229719369.999933 + 229719520. Let w = 2 - 152. Let m = w + l. Round m to five ... | {
"pile_set_name": "DM Mathematics"
} |
-11). Let y = -1 + n. List the prime factors of y.
3, 61
Suppose 1232 = -10*o + 4322. List the prime factors of o.
3, 103
Let t(g) = -2*g**2 + 2*g**2 - 8*g**2 + 10 + g**3 - 12*g - 6*g**2. What are the prime factors of t(15)?
5, 11
Let h(a) = a**2 - 3*a - 22. Let f(l) = l**2 - 8*l + 2. Let v be f(6). What are the prime ... | {
"pile_set_name": "DM Mathematics"
} |
2*a + 8*a = 3*f - 285. Calculate the remainder when 3269 is divided by f.
108
Suppose 1272 + 2292 = 9*b. What is the remainder when 1592 is divided by b?
8
Suppose 1170 = 14*m + 162. Suppose -2*x + 1194 = -2*i, -m*x + 67*x + 2*i + 2982 = 0. What is the remainder when x is divided by 23?
21
Suppose 103*q - 30040 = -4496... | {
"pile_set_name": "DM Mathematics"
} |
n ascending order.
u, 0.09, 6/7, 4
Suppose 84 = 14*x + 14*x. Suppose -k + 46 = 2*r + k, r - 3*k = 3. Sort x, -1, r.
-1, x, r
Let y be 5/(25/12) + -2. Let m = 66962 + -468738/7. Put y, m, 0.1 in descending order.
y, 0.1, m
Let t = -122 + 398. Let r = t - 779/3. Sort 3/5, r, 0.4 in decreasing order.
r, 3/5, 0.4
Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
Let t = 247/3 - 82. What is the second biggest value in t, 1/26, -2?
1/26
Let l = 31 + -27. Which is the second biggest value? (a) l (b) 4/5 (c) 3 (d) 5
a
Let s be ((-9)/6)/(6/(-4)). Let d = 3 + -3.5. Let v = 8/5 + -71/35. Which is the biggest value? (a) s (b) v (c) d
a
Let j = 0.04 - -0.96. Let l(o) = 2*o**3 -... | {
"pile_set_name": "DM Mathematics"
} |
17 for n.
13
Solve 1203*s = 1269*s + 1716 for s.
-26
Solve 4*u = -13*u - 18*u + 385 for u.
11
Solve -4*b + 124 = 27*b for b.
4
Solve -1009 = 322*x + 845 + 2332 for x.
-13
Solve 33*c - 77*c = 88*c + 528 for c.
-4
Solve -122*c + 97*c + 250 = 0 for c.
10
Solve -178*k + 174 = -1250 for k.
8
Solve 116*w + 13063 = -100*w + 9... | {
"pile_set_name": "DM Mathematics"
} |
e) 0.1 (f) -8
e
What is the closest to 4659 in 0, 7, -1, -0.6?
7
Which is the closest to -0.02? (a) 65 (b) -7.3 (c) 1/9
c
Which is the closest to 2/3? (a) 0.21 (b) 0.4 (c) -5 (d) 1/2 (e) -66
d
Which is the closest to 0.1? (a) 90199 (b) 0.44 (c) -0.5 (d) -0.7
b
What is the closest to -806 in 4/29, 4, 0.322,... | {
"pile_set_name": "DM Mathematics"
} |
z**3 + 4*z**3 - 12*z**4 = 0.
-1, 0, 1
Factor -153*h**2 + 7*h**3 + 108 + 108*h + 189*h**2 - 3*h**3.
4*(h + 3)**3
Let k(z) be the first derivative of 2*z**3/15 + 2*z**2 + 10*z - 41. Factor k(g).
2*(g + 5)**2/5
Factor -9/5*r - 9/5*r**2 - 3/5*r**3 - 3/5.
-3*(r + 1)**3/5
Suppose 4*q = -5*m - 17, -m + 3*m + 16 = 3*q. Let g =... | {
"pile_set_name": "DM Mathematics"
} |
**2 - q**2).
5*q**4 + 100*q**3
Expand (l + 2 - 2 + (3 + 3 - 5)*(-4*l + 2*l + 0*l) + 0*l - l + 2*l + 7 - l - 7)*((-5 + 3 + 3)*(-12 + 24 + 28) + 2 + 2 - 5).
-39*l
Expand -p**4 + 2*p**5 + p**4 + (0*p**3 + 4*p**3 - 3*p**3)*(2*p**2 + 1 - 1) - 6*p**3 + 3*p**3 + 3*p**3 + 36*p**5 + 121*p**5.
161*p**5
Expand (2 + 1 - 1)*(0*r + ... | {
"pile_set_name": "DM Mathematics"
} |
ee letters picked without replacement from ttsmmtmttmmtmm?
1/52
Three letters picked without replacement from {x: 3, j: 7}. Give prob of sequence xxx.
1/120
Two letters picked without replacement from {w: 1, l: 3, u: 2, n: 1, m: 5, q: 1}. What is prob of sequence qw?
1/156
Three letters picked without replacement from ... | {
"pile_set_name": "DM Mathematics"
} |
o(c) = -c**3 - 4*c**2 - 362*c - 2235. Calculate o(-6).
9
Let x(o) = -o**3 - 69*o**2 - 866*o + 935. Calculate x(-52).
-1
Let b(j) = 4*j**2 - 162*j + 1146. What is b(31)?
-32
Let s(u) = -u + 19. Determine s(18).
1
Let p(k) = 11*k - 160. Determine p(5).
-105
Let l(c) = -2*c**2 - 4974*c + 24898. Give l(5).
-22
Let w(z) = ... | {
"pile_set_name": "DM Mathematics"
} |
ctor of m and f?
12
Let z be 8*378/72*(-5)/(-3). Let y(h) = h**2 + 4*h - 4. Let n be y(-8). Calculate the greatest common factor of n and z.
14
Let m be -1 + 1 + (-180)/(-10). Let q be 4/3*(-9 + m). Calculate the greatest common divisor of q and 72.
12
Let a = -6 + 12. Let l = -4 + 3. Let j be l*2 - -58 - 2. Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
f = 2*n + n. What is the units digit of n?
5
Let x = -17 + 1. Let z = 12 + x. What is the units digit of 5 - (1 + z - -6)?
2
Let c(b) = -9*b - 10. Let o be c(-10). Let a = -46 + o. What is the tens digit of a?
3
Suppose -4*d + 48 = -5*l, l + d - 9 = 2*l. What is the tens digit of 1730/6 - (16/l)/(-1)?
8
Let q(t) = 3*t*... | {
"pile_set_name": "DM Mathematics"
} |
5*q - 13, y*h = 4*h - 2*q - 52. Does 11 divide h?
True
Let b = 24 + -12. Suppose -82 - b = -2*k. Is k a multiple of 16?
False
Let o be 0 + 2 + -1 + 1. Let d(v) = 6*v + 2. Let i be d(-2). Does 7 divide ((-8)/5)/(o/i)?
False
Suppose k + 3*r - 82 = 0, -3*k - 2*r + 107 + 104 = 0. Let h = k + -41. Is 18 a factor of h?
False... | {
"pile_set_name": "DM Mathematics"
} |
ppose -h*y + 10*y + o = 0. Solve -i = -2*i - 2*p - 1, -4 = i + y*p for i.
5
Suppose 5*w + 2 = -3*f, 2*w = 27*f - 28*f. Solve o = 2*g + 5*o + 6, 0 = 5*g - w*o - 21 for g.
3
Suppose 3 = -x + 5*o + 11, -5*o - 20 = -5*x. Solve x*g + 4 + 2 = -2*y, 0 = 4*g - 5*y + 31 for g.
-4
Let o(v) be the second derivative of v**3/6 + 5*... | {
"pile_set_name": "DM Mathematics"
} |
.
2, 19
What are the prime factors of 10400?
2, 5, 13
What are the prime factors of 14834?
2, 7417
List the prime factors of 965.
5, 193
What are the prime factors of 872?
2, 109
List the prime factors of 16822.
2, 13, 647
List the prime factors of 1229.
1229
List the prime factors of 418.
2, 11, 19
What are the prime ... | {
"pile_set_name": "DM Mathematics"
} |
0 - 1)*(-3*s + 5*s + 0*s)*(7 + 44 - 1) - 3*s - 4*s + 5*s as f + h*s and give h.
198
Express (4 - 10 - 15)*(0*i**2 + 0*i**2 + i**2) - 2*i**2 - i + i in the form f*i + r*i**2 + b and give r.
-23
Express (-31*l - 2*l**3 + 2 - 6 + 32*l)*(1 + l - 1) in the form v*l**3 + p*l + u*l**2 + o*l**4 + j and give o.
-2
Rearrange -37... | {
"pile_set_name": "DM Mathematics"
} |
, -5*j + 4 = -v*c for c.
3
Let h(p) = -p**3 + 33*p**2 - 31*p - 108. Let s be h(32). Let d be (-1 + 21)*(s/8)/(-19). Solve d = 5*u, 4*m - 4 + 6 = -3*u for m.
-2
Let x = 15384 + -15379. Solve 5*d - 6*d - 5 = 5*t, -x*t + 10 = 4*d for d.
5
Let m = -89 + 101. Suppose -13*y = -m*y + 100. Let f = y - -103. Solve 0 = -w + 5*j ... | {
"pile_set_name": "DM Mathematics"
} |
7
Suppose 1 = 5*s - 24. Suppose s*a + 5*n = n + 530, 2*n + 106 = a. Calculate the remainder when a is divided by 27.
25
Suppose l - 6*l = -3*q - 69, l - q - 15 = 0. Let z be (-1 + -2)*-1*1. Suppose 4*c - l = z*c. What is the remainder when 34 is divided by c?
10
Suppose -2*o + 12 + 28 = 0. Let r = -11 + o. Let h(j) = j... | {
"pile_set_name": "DM Mathematics"
} |
-0.3
Let w(p) = 4*p**2 + 2*p - 4. Let z be w(1). Let t = -145 - -141. Which is the third biggest value? (a) -0.2 (b) 4 (c) t (d) z
a
Let x(q) = 3*q - 31. Let h = 3 - 6. Let w = 13 + h. Let k be x(w). What is the third smallest value in 1, 2, k?
2
Let c = -1296.5 - -1298.5. What is the smallest value in -71, -0.8, c... | {
"pile_set_name": "DM Mathematics"
} |
ositive.
c**(2153/459)
Simplify ((v*(v*v**(-3))/v*v)**(-30))**(-2/121)*(v*v**14*v*v*v**(-13))**(-34) assuming v is positive.
v**(-16516/121)
Simplify ((((f**8/f)/(f*f*f**(-7)*f*f))/((f**0*f)/(f/(f/(f/(f/(f*f**9*f)))))))**46)**29 assuming f is positive.
f**26680
Simplify (n*n*n*(n/n**2)/n)**(-2/53)*(n**(-1))**3*((n**(2/... | {
"pile_set_name": "DM Mathematics"
} |
t value? (a) -0.03 (b) -5 (c) -4190
b
Which is the smallest value? (a) 0.01 (b) -0.3 (c) 0 (d) 0.5 (e) 10937
b
What is the second biggest value in -6/5, -0.4, -0.3, -5, -213, -1?
-0.4
Which is the biggest value? (a) 9 (b) 1.22 (c) -3 (d) -0.05
a
What is the third biggest value in 5, -0.1, 3340, 3, 4?
4
What... | {
"pile_set_name": "DM Mathematics"
} |
t b(r) = 17651*r - 988448. Determine b(56).
8
Let g(t) = 5127*t + 34780. Give g(-7).
-1109
Let a(t) = -6*t**3 + 312*t**2 - 10*t + 467. Determine a(52).
-53
Let f(i) = 6*i**2 + 6074*i + 1093878. Give f(-778).
10
Let u(q) = -1185352*q + 8297471. Give u(7).
7
Let b(d) = 9*d**2 - 751*d + 682. Determine b(83).
350
Let m(x) ... | {
"pile_set_name": "DM Mathematics"
} |
Evaluate (-6)/(-6*(-56)/63).
-9/8
(-6)/(-1)*-2*-17*(-13)/9282
-2/7
What is (21125/52)/65*-1*4?
-25
((-3600)/(-3150))/((-4)/(-42))
12
What is 28/3*462/1078?
4
Evaluate (48/(-56))/(8/16)*2/(-6).
4/7
(38/665)/((-3)/21)
-2/5
Calculate ((-66)/198)/((-4)/(-8)).
-2/3
Calculate ((-67)/(2613/(-52)))/(1/(-9)).
-12
What is the va... | {
"pile_set_name": "DM Mathematics"
} |
*y**2 + 5 - 7. Let o(w) = -2*w**2. Determine k(o(z)).
24*z**4 - 6
Let n(c) = -8*c. Let t(x) = -7*x. Let a(q) = 7*n(q) - 6*t(q). Let k(s) be the first derivative of s**3/3 + 36. What is k(a(u))?
196*u**2
Let b(s) = 123*s**2. Let l(u) = -5*u - 3. Let q(g) = 14*g + 8. Let d(n) = 8*l(n) + 3*q(n). Calculate d(b(j)).
246*j**... | {
"pile_set_name": "DM Mathematics"
} |
91166907, 121555879, 151944853?
182333829
What comes next: 3919, 4609, 5725, 7267, 9235?
11629
What comes next: 89299, 178472, 267645, 356818?
445991
What is the next term in 1074, 474, -128, -738, -1362, -2006, -2676, -3378?
-4118
What comes next: -4494, -9450, -14732, -20346, -26298, -32594, -39240, -46242?
-53606
W... | {
"pile_set_name": "DM Mathematics"
} |
*d + 6 = 2*h, o = 3*d + 23*h - 21*h - 4 for d.
2
Let w be (-2)/(-3)*3 + 204. Suppose 6*c - 226 - w = 0. Let z = c + -69. Solve -4*a = 3*d - 23, -z*a - d + 3 = -4*a for a.
2
Suppose 2*l + 5*y = 104, -3*l + y = 4*y - 156. Suppose 40 - l = -6*j. Solve -j*s - s - 12 = 2*t, -5*s - 4*t = 22 for s.
-2
Let l(k) = k**2 - 2*k + ... | {
"pile_set_name": "DM Mathematics"
} |
2378 to 3 decimal places.
0.074
What is 665856.03 rounded to the nearest one thousand?
666000
Round 236677650 to the nearest 1000000.
237000000
Round -16748816.62 to the nearest 1000000.
-17000000
What is 875780.03 rounded to the nearest 1000?
876000
What is 281.47191 rounded to the nearest 10?
280
Round -2179.010586 t... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*g**2 + 1 + g**2. Give r(1).
4
Let k(o) = o**3 - 1 + 2*o**3 + 4*o - 2*o + 9*o**2 - 10*o**2. What is k(1)?
3
Let a(x) = -3*x - 4*x + x**2 + 2*x - 4*x - 6. Give a(9).
-6
Let z be (-4 + 0)/((-8)/12). Let v(m) = -2 + 5*m + 6 - z*m. Determine v(4).
0
Let m(p) = -p**2 - 5*p. Let b = -2 - -7. Let a be 3/(3/b) - 1. Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
t is (2 + (-89)/46)*131/((-17292)/(-1056))?
12/23
Calculate 8/44*3/2 - (-9 - 630/(-132)).
9/2
What is (-1066)/8*(-6976)/(-22672)?
-41
Evaluate (-3 - 6) + (4 - (-332)/4)*3/(-9).
-38
Calculate (9 - 8) + ((-272)/48)/(1/3) + 8.
-8
Evaluate (12 - -26) + (16/(-48)*15 - (1 - 1)).
33
What is (17 + 403/78 + -22)*(-1128)/(-4)?
4... | {
"pile_set_name": "DM Mathematics"
} |
)?
False
Suppose 9*q = 6*q + 33. Let o(h) = -h**3 + 12*h**2 + 5*h - 41. Is o(q) a multiple of 9?
True
Let v be 5/4 + -2 - 223/(-4). Let a = v - 53. Suppose a*l = -5*l + 490. Does 26 divide l?
False
Let d(c) = -2*c - 18. Let o be d(-14). Suppose -2*y + x = 8, 3*x = o + 2. Is 4 a factor of 1836/30 - y/(-10)?
False
Let a ... | {
"pile_set_name": "DM Mathematics"
} |
- 117. Let g = 118 + w. Is 14 a factor of g?
True
Is 188 - 31 - (2 + -7) a multiple of 12?
False
Does 12 divide (-1 + 11)*-1 - -3586?
True
Let j(g) = 62*g - 68691 + 68691. Suppose 0*k - 3 = -3*k. Is j(k) a multiple of 13?
False
Let j = 1126 + 217. Is j a multiple of 35?
False
Does 12 divide (-1)/((-15)/3560)*12/8?
Fal... | {
"pile_set_name": "DM Mathematics"
} |
ked without replacement from ciiiciijoccc?
5/594
Calculate prob of sequence uaau when four letters picked without replacement from {z: 2, k: 3, a: 4, d: 3, u: 2, b: 2}.
1/1820
Two letters picked without replacement from {b: 1, x: 2}. Give prob of sequence xx.
1/3
Calculate prob of sequence zz when two letters picked wi... | {
"pile_set_name": "DM Mathematics"
} |
g order.
41, 4, 0, -2, -3, -7
Sort 2, -3, -4, 154613 in ascending order.
-4, -3, 2, 154613
Put -5, 0.3, 30, 3, 137/4 in decreasing order.
137/4, 30, 3, 0.3, -5
Sort -0.5, 1/24, 9, -4, 23, -2 in decreasing order.
23, 9, 1/24, -0.5, -2, -4
Put 0.5, 138, -11, 2.2, 0.2 in decreasing order.
138, 2.2, 0.5, 0.2, -11
Sort 5, -... | {
"pile_set_name": "DM Mathematics"
} |
. Let d be c(-1). Solve d = -2*q, 4*o - h = -o + 5*q for o.
2
Suppose o + 13 = 15. Suppose 7*i - 5 = o*i, v - 6 = 4*i. Solve 30 = 2*x - 5*b + 7, 5*x = -b - v for x.
-1
Let h(x) = 2*x + 23. Let o be h(-7). Suppose 0 = 5*t - 5*w - 35, o*w = 2*t + 4*w - 29. Solve -5*u + 13 = -4*r, -2*u - t*u + 32 = 4*r for u.
5
Let b(o) =... | {
"pile_set_name": "DM Mathematics"
} |
Let z be (-468)/(-9)*1/2. Let i be (2/(-6))/(z/78). Sort -5, i, 2, 4 in decreasing order.
4, 2, i, -5
Suppose 22 = 2*k - 6*k - 2*g, -8 = 5*k - 4*g. Put -9, 1/12, -0.5, k in increasing order.
-9, k, -0.5, 1/12
Let m(d) = -d + 25. Let s be m(20). Suppose 5*o + 2 - 7 = 0. Sort s, o, 2.
o, 2, s
Let n = -346 + 1040/3. Put ... | {
"pile_set_name": "DM Mathematics"
} |
tters picked without replacement from {l: 3, z: 8}. What is prob of picking 3 z?
56/165
Calculate prob of picking 2 l, 1 d, and 1 r when four letters picked without replacement from {w: 1, c: 1, d: 2, r: 1, k: 1, l: 2}.
1/35
What is prob of picking 1 j and 1 o when two letters picked without replacement from jmorj?
1/5... | {
"pile_set_name": "DM Mathematics"
} |
2*m - 35, 2*m - q - 5 = -4*q. Solve -2*u = -u + 2*o + m, u + o = -7 for u.
-4
Suppose h = 5*f, 5*h - 2*f - 3 = 20. Suppose 2 = h*n + k, 2*n - 6*k + 3*k = -6. Let p be (-1 + n)*-1*12. Solve -8*d - 3*v - p = -3*d, 8 = 4*d - 2*v for d.
0
Suppose 4*v - 26 + 26 = 0. Solve v = -4*q + 3*n + 2, 4*n + 8 - 2 = 2*q for q.
-1
Let... | {
"pile_set_name": "DM Mathematics"
} |
tor of 78?
False
Is 90103 a multiple of 29?
True
Does 117 divide 852?
False
Does 74 divide 3631?
False
Does 58 divide 1767?
False
Is 1250 a multiple of 50?
True
Does 10 divide 112?
False
Does 41 divide 5822?
True
Is 1710 a multiple of 38?
True
Does 74 divide 43734?
True
Is 38 a factor of 104066?
False
Does 24 divide 25... | {
"pile_set_name": "DM Mathematics"
} |
2 + p. Give -4*c(r) - d(r).
-2*r**2 + 158*r
Let v(b) = 118*b + 8. Let f(c) = 236*c + 15. Give 6*f(a) - 11*v(a).
118*a + 2
Let w(q) = 3 - 2 - 24*q - 39*q + 0 + 62*q. Let t(s) = 2*s - 14. Determine -t(p) - 3*w(p).
p + 11
Let b(y) = 7*y - 207. Let f(s) = 15*s - 411. Determine -9*b(g) + 4*f(g).
-3*g + 219
Suppose 5*l + 22 ... | {
"pile_set_name": "DM Mathematics"
} |
st derivative of -3*u**4/4 - u**3 + 3*u**2/2 + 3*u + 1. Factor g(q).
-3*(q - 1)*(q + 1)**2
Let v(w) be the third derivative of -w**5/90 + w**4/108 + 2*w**3/27 + 4*w**2. Factor v(d).
-2*(d - 1)*(3*d + 2)/9
Let b(f) be the third derivative of -f**8/42 - 3*f**7/35 - f**6/10 - f**5/30 + f**2. Find w, given that b(w) = 0.
-... | {
"pile_set_name": "DM Mathematics"
} |
suming o is positive.
o**(29/7)
Simplify ((j*j/((j*j**(-2/3))/j)*j)**(3/22))**19*((j**(-1/3))**(13/7))**(-37) assuming j is positive.
j**(1361/42)
Simplify (z**(13/2))**(-9/8)/((z/z**25)/z*z*z**19) assuming z is positive.
z**(-37/16)
Simplify ((((d**(-5)/d)/(d/(d/d**(5/2))*d))/(d**(-1/4))**(-33))**13)**(-14) assuming d... | {
"pile_set_name": "DM Mathematics"
} |
is 9 + -14 + 33 - 57?
-29
0 + -38 - (-18 + 19) - -14
-25
Evaluate -5 - (-32 - (5 - (-7 + 13) - 2)).
24
What is the value of -4 + 2 - (11 - 4) - -16?
7
21 + -3 + -10 + (-21 - -6)
-7
66 + 109 + -180 + (-3 - -1) + 13
6
-17 - (-21 + -3 + 6 + 10 - -15)
-24
3 + (-20 - -5) + 21
9
8 + 0 + -7 + 10 + -24
-13
Calculate 23 + -30 ... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -536*j**3 - 2749*j**2.
-3216
What is the third derivative of -10*i**3*u*v**3 + i**3*u*v - 4*i**3*v**3 - i**2*v**3 - 4*i*u*v**2 - 2*i*u*v + i*v**2 wrt v?
-60*i**3*u - 24*i**3 - 6*i**2
Find the second derivative of 296*q**2*v**2 - 3*q**2*v - q**2 - 38 wrt v.
592*q**2
What is the second derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
is the t'th term of -19851, -19729, -19573, -19365, -19087, -18721, -18249, -17653?
3*t**3 - t**2 + 104*t - 19957
What is the k'th term of -20772, -44776, -68774, -92760, -116728?
k**3 - 3*k**2 - 24002*k + 3232
What is the d'th term of -7425, -14960, -22495, -30030?
-7535*d + 110
What is the k'th term of -2090775, -418... | {
"pile_set_name": "DM Mathematics"
} |
2619
What is -0.3 times -331?
99.3
Multiply -1 and -1.76.
1.76
-34 times -30
1020
What is -15 times -130?
1950
Product of 117.4 and 1.
117.4
Product of 0.11 and -6.
-0.66
What is the product of -25.3 and -0.3?
7.59
Work out -0.03 * -0.0313.
0.000939
41*-5.9
-241.9
161*1
161
4 times -2.48
-9.92
Multiply -0.05 and 6.
-0.... | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((sqrt(128) + 1 - sqrt(128)) + -5 + sqrt(128))*2 + (2*sqrt(162)*4 - sqrt(162)) + 0 + 1.
-7 + 79*sqrt(2)
Simplify 4 + (1 + 5*(sqrt(325) - sqrt(325)*3) + 1)*2.
-100*sqrt(13) + 8
Simplify (-5*(sqrt(567) - 2*sqrt(567)*1 - sqrt(567) - (sqrt(567) - (sqrt(567) + 6*-5*sqrt(567))))*1)**2.
14515200
Simplify ((-1*sqrt(30... | {
"pile_set_name": "DM Mathematics"
} |
by m(w)?
9
Let x = -14 + 36. Suppose -8 = -b - 0. What is the remainder when x is divided by b?
6
Let n(p) = -p**3 - 3*p**2 - 3*p - 3. Let c = -15 - -13. What is the remainder when n(-3) is divided by (c/1)/((-10)/20)?
2
Let a = 412 + -290. Calculate the remainder when 7/(-28) + a/8 is divided by 8.
7
Suppose g - 5*g =... | {
"pile_set_name": "DM Mathematics"
} |
k + 0*k + 4*k) + 9*k**2 - 5*k**2 - 6*k**2 + 2*k**2 + 2*k**2 - 5*k**2.
-13*k**2
Expand ((1 + 3 - 2)*(10 + 7*p - 10) - 1 + 1 + p)*(-p**2 + 1 - 1)*(1 + 1 - 4).
30*p**3
Expand (-5*y**2 + 15*y**2 + 8*y**3 - 6*y**3)*(4*y + 0*y - 3*y + (-1 + 3 - 4)*(-2*y + 0*y + 4*y) + 3*y - y + 0*y).
-2*y**4 - 10*y**3
Expand (1 - 1 - 2)*(4*i... | {
"pile_set_name": "DM Mathematics"
} |
+ 0*u) + 0 + 0 - u) as x + k*u and give k.
-35
Express (-4*t**3 + 50 - 50)*(-1 - 3 + 5) in the form x + j*t**2 + n*t + w*t**3 and give n.
0
Express -8*g**2 - g**4 + 0 - 5*g**2 - 2 + 4*g**2 as k*g + a*g**3 + z*g**4 + o + w*g**2 and give o.
-2
Express (4 - 4 + 2*u)*(u + 3*u - 2*u) + (1 - 2 + 11)*(u**2 + 0*u**2 + 2*u**2)... | {
"pile_set_name": "DM Mathematics"
} |
541/4 = 0.
-1, 28847
Suppose -55*r**4 - 11265*r**3 - 74180*r**2 + 13860*r = 0. Calculate r.
-198, -7, 0, 2/11
Solve -5*v**5 + 4600*v**4 + 4615*v**3 - 9210*v**2 = 0 for v.
-2, 0, 1, 921
Factor -z**4 - 1087*z**3 + 3270*z**2 - 4*z - 4360.
-(z - 2)**2*(z + 1)*(z + 1090)
Determine o, given that 4*o**3 + 15344*o**2 - 76804*o... | {
"pile_set_name": "DM Mathematics"
} |
/7))**19 assuming l is positive.
l**(-909/28)
Simplify (j/j**(-17))/(j/(j*j**(17/5)))*j**(-1/2)/j**4 assuming j is positive.
j**(169/10)
Simplify (q**12*q**(-15)*q)/((q/(q**(4/27)*q))/(q/(q*q**9)*q)) assuming q is positive.
q**(-266/27)
Simplify ((((i**(-1)*i*i)**(-25))**(-1/6))**(2/63))**(-45) assuming i is positive.
... | {
"pile_set_name": "DM Mathematics"
} |
and 17267?
181303.5
Work out 2.3336 * -2.2.
-5.13392
Calculate -773*-181.
139913
Multiply -0.1019 and -0.36.
0.036684
Work out 33 * 11205.
369765
-21*3176.52
-66706.92
What is the product of 9.69 and -205?
-1986.45
107.41 times -211
-22663.51
Calculate 414*-0.082.
-33.948
What is the product of -0.7036 and 28?
-19.700... | {
"pile_set_name": "DM Mathematics"
} |
+ 28. Let y = 7.8 - 11. Is y less than z?
True
Let q be 0 - 0/(2 - -1). Suppose q*f + 3 = -3*f. Let p be (-1 + 15/2)/((-313906)/2324 - -135). Which is bigger: p or f?
f
Suppose 92*b = 123 - 399. Is -158/73 equal to b?
False
Let s be (-5)/10*0 + 4. Suppose a = 4*i - s*a + 19, a = 2*i + 11. Let l be ((-16)/20)/(i/315). ... | {
"pile_set_name": "DM Mathematics"
} |
84.
76
Let s(m) be the third derivative of -m**6/120 + 2*m**5/15 - 13*m**4/24 + 3*m**3/2 + 14*m**2 - 1. Calculate the remainder when 41 is divided by s(5).
3
Let i = -76286 + 76295. Let y be 0 - (3 - 2)*-1. What is the remainder when (-2 - -37)*(1 + y) is divided by i?
7
Let c = 3274 + -3125. Calculate the remainder w... | {
"pile_set_name": "DM Mathematics"
} |
2
Let y(p) = p**2 - p + 1. Let t = -3 + 6. What are the prime factors of y(t)?
7
Suppose -8*b = 55 - 1207. List the prime factors of b.
2, 3
Let u = -3 - -5. Suppose -u*q + 31 = -5*f, -q + f + 0*f = -11. What are the prime factors of q?
2
Suppose 3*n = u + 62, 3*u = -4*n + 7*u + 88. Let v be 8/n - 18/(-5). Suppose -4*y... | {
"pile_set_name": "DM Mathematics"
} |
asing order.
7, 5, 2
Sort 1, -2/41, 3/7, 13 in descending order.
13, 1, 3/7, -2/41
Put -103, 6, 1 in ascending order.
-103, 1, 6
Put -6, -27/14, -4, -3 in descending order.
-27/14, -3, -4, -6
Sort 5, 5/3, -1/4, -2/13, 5/4 in descending order.
5, 5/3, 5/4, -2/13, -1/4
Sort 0.4, -18/11, -0.2, 0.1, -4 in decreasing order.... | {
"pile_set_name": "DM Mathematics"
} |
2
-30*-0.0326098
0.978294
What is 1.963 times -0.047802?
-0.093835326
Work out 0.3 * -160862.13.
-48258.639
What is 20 times -222422.6?
-4448452
What is the product of 0.555 and 2456?
1363.08
Product of -0.4 and -100.121458.
40.0485832
-612108 times -184
112627872
What is 84242.5 times -4.27?
-359715.475
What is the pr... | {
"pile_set_name": "DM Mathematics"
} |
2.27. Which is the nearest to -0.1? (a) -789 (b) 3 (c) q
c
Let x be 8/(-10) - (84/15)/(-7). Which is the nearest to 0? (a) 1/12 (b) -2 (c) 2/3 (d) x
d
Let p = -309 - -923/3. Let q = 2/401 - 808/1203. What is the closest to -1/7 in q, p, 1?
q
Let n = 30 - 59. Let y = 486005/2 + -243002. Which is the nearest to n?... | {
"pile_set_name": "DM Mathematics"
} |
4, what is -2 + 11103003022?
11103003020
In base 15, what is -8 - 23eb99b?
-23eb9a4
In base 16, what is -4 - -b8fd40e?
b8fd40a
In base 13, what is -3 + -888b67?
-888b6a
In base 16, what is 8197f + -1ca?
817b5
In base 2, what is 111001011001001100111111 + 11?
111001011001001101000010
In base 11, what is -78020540 - -1?
... | {
"pile_set_name": "DM Mathematics"
} |
0*t**2)*(3*t - 4*t + 2*t) + 35 - 33 - 2*t**3 + 6*t**3 + t**2.
2*t**3 + t**2 + 2
Expand (-y + 3*y - 3*y)*(7 + 10 - 1).
-16*y
Expand (-3 + 3 - 6*x**3)*(3*x + 0*x + 3*x).
-36*x**4
Expand (0 - 1 + 2)*(u - 1 + 1)*(4*u - 2*u - 4*u - 2 + 2 - 2*u + 2*u - 7*u + 3*u + (-3 + 6 - 1)*(4*u - 7*u + 2*u) + u + 4*u - 4*u - 2*u - 2 + 2... | {
"pile_set_name": "DM Mathematics"
} |
Put -8, -1, 468, -467 in descending order.
468, -1, -8, -467
Put 593, -255, 44 in descending order.
593, 44, -255
Sort 34, -12, 17, 4, -0.3, 2/143 in descending order.
34, 17, 4, 2/143, -0.3, -12
Put -250, 227, -13, 1 in decreasing order.
227, 1, -13, -250
Sort -127, -33, -2703 in ascending order.
-2703, -127, -33
Sort... | {
"pile_set_name": "DM Mathematics"
} |
, 4?
-6
What is the second smallest value in -1/150, 5, 0.3?
0.3
What is the fifth biggest value in -0.3, -10, 4, -0.23, -3?
-10
Which is the smallest value? (a) 25 (b) -0.4 (c) -1/4 (d) -4 (e) -4/7
d
What is the third biggest value in 2240, -0.2, -0.3?
-0.3
What is the third biggest value in 6, -0.3, -1, -0.31, 2... | {
"pile_set_name": "DM Mathematics"
} |
0527014 - -549681401/18. Let u = -10835 + r. What is the common denominator of (396/(-320))/(1 + (-21)/12) and u?
180
Suppose -i + 2*r = -6, 3 = -i - 5*r - 5. Calculate the least common multiple of i and 7.
14
Let d = 2347/105 + -24/35. Calculate the common denominator of d and 76/3.
3
Suppose 11 - 2 = 3*l. Suppose -5*... | {
"pile_set_name": "DM Mathematics"
} |
0. Suppose -n = -4*c + o, 2*o + 4 = 14. What is the remainder when c is divided by 6?
3
Let u = -67 - -123. Calculate the remainder when u is divided by 10.
6
Suppose 0 = -z + 1, -4*z + 0*z = 2*x - 122. What is the remainder when x is divided by 15?
14
Let i(q) = 3*q**3 - 4*q**2 + 4*q - 1. Calculate the remainder when... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 21*d - 1. Let r(w) = -6*m(w) - 11*t(w). Let p(i) = -i - 1. Calculate -10*p(u) - 2*r(u).
-2*u**2 - 8*u
Let g(c) = c**2 - c - 3. Let w(f) = -f**2 + 2*f + 3. Let x(r) = 2*r**3 - 26*r**2 + 25*r + 15. Let i be x(13). Let s = -343 + i. What is s*w(u) - 4*g(u)?
-u**2 - 2*u + 3
Let k(s) = s**3 - 6*s**2 + 14*s - 14. Let o... | {
"pile_set_name": "DM Mathematics"
} |
arrange (11*m - 28*m - 12*m)*(0 + 0 - 1)*(0*m + 2*m - 579*m**2 - 2*m - 420*m**2) to the form w*m + b*m**3 + n*m**2 + d and give b.
-28971
Rearrange (3 + 1 - 5 + (0 + 0 - 1)*(0 + 0 + 2) + (1 - 21 - 4)*(-2 + 7 - 3))*(5*q - 11*q + 14*q**2 - 24*q**2) to d*q + r*q**2 + o and give d.
306
Rearrange -14221*j**4 - 5 + 28449*j**... | {
"pile_set_name": "DM Mathematics"
} |
604*j/7 + 812125602/7.
2*(j - 20151)**2/7
Let l**4 + 236959*l**3 + 14037273438*l**2 - 14037984320*l - 28075020800 = 0. Calculate l.
-118480, -1, 2
Suppose -18*g**5/7 - 876*g**4/7 - 12458*g**3/7 - 42624*g**2/7 + 142376*g/7 = 0. Calculate g.
-26, -37/3, 0, 2
Determine h so that -4*h**3 + 561*h**2/2 + 249*h - 71/2 = 0.
-1... | {
"pile_set_name": "DM Mathematics"
} |
4 (f) 29
c
What is the fourth smallest value in -11, -1.7, -2, 3514, -0.4?
-0.4
What is the fourth biggest value in 0.04, 54, -10, 380?
-10
What is the fifth smallest value in -2/3, 0.01, -1/3, -2/7, 11, 2, -230?
0.01
Which is the smallest value? (a) 7019262 (b) 0.3 (c) 2/17 (d) 8
c
Which is the second smallest va... | {
"pile_set_name": "DM Mathematics"
} |
b.
2
Let h(n) = -216*n - 20. Let i = -267 + 264. What are the prime factors of h(i)?
2, 157
Suppose -48*a = -181*a + 170902 + 454996. What are the prime factors of a?
2, 13, 181
Let h(k) = -5*k**2 - 9 + 9*k**2 - 5*k + 0*k**2 - 3*k**3 + 0*k**3. What are the prime factors of h(-5)?
491
Let v = 331 + -107. Let y = v - -1... | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from xccccccccccccccccc.
1/18
What is prob of sequence xj when two letters picked without replacement from {j: 9, x: 10}?
5/19
Calculate prob of sequence mjo when three letters picked without replacement from {p: 2, o: 2, c: 4, m: 1, w: 1, j: 4}.
1/273
Calculate prob of sequence kpp when three le... | {
"pile_set_name": "DM Mathematics"
} |
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