text stringlengths 270 8.19k | meta dict |
|---|---|
+ sqrt(91)) - sqrt(91) - sqrt(91))/sqrt(7).
sqrt(13)
Simplify (1*(sqrt(16)/sqrt(8) + -2))**2.
-4*sqrt(2) + 6
Simplify 3 + ((-1 + sqrt(108))*-2)**2.
-48*sqrt(3) + 439
Simplify 1 + ((sqrt(7) - (sqrt(7) - sqrt(252)))**2 + -3 - sqrt(28)/(sqrt(12)/sqrt(3))).
-sqrt(7) + 250
Simplify 3*sqrt(175) - (sqrt(7) - (-1 + sqrt(700) ... | {
"pile_set_name": "DM Mathematics"
} |
e in 1/8, j, z?
1/8
Let g = -11 + 8. Let s be g/5 - (-48)/280. Let d = 5.11 + -0.11. Which is the third biggest value? (a) d (b) s (c) 4
b
Let t be (-1)/((-2)/((-4)/5)). Let x = 9 - 15. Let i = 6.5 + x. Which is the third smallest value? (a) 2 (b) i (c) t
a
Let r be (4/3 + -1)*18. Let b be -9 + r + (-1)/(-1). Wha... | {
"pile_set_name": "DM Mathematics"
} |
r letters picked without replacement from gtgggtggtttg. Give prob of sequence gggt.
35/396
Four letters picked without replacement from qnncwffffqwnkn. Give prob of sequence nfnw.
4/1001
Calculate prob of sequence vsv when three letters picked without replacement from {w: 7, v: 3, s: 2}.
1/110
What is prob of sequence ... | {
"pile_set_name": "DM Mathematics"
} |
k = 3*b + 4*u, -2*u + 10 = -3*b. Suppose b = -0*h + 7*h - 28. Solve -h*j + j - 15 = 0 for j.
-5
Let k = 25 - 22. Let p = -44 + k. Let c = -39 - p. Solve -3*f - c = -2*f for f.
-2
Suppose -3*h - 216 = -3*g, 0 = 3*g + 12*h - 7*h - 200. Let n be 38/5 - (-28)/g. Solve 0 = n*d - 4*d + 8 for d.
-2
Let p = 568 + -564. Suppose... | {
"pile_set_name": "DM Mathematics"
} |
- 12, -2*k = 3*f + 8 + 1 for f.
-5
Solve 2*h - 2 = v, 32*v = -2*h + 35*v + 6 for h.
0
Solve 8*a - 3*a + g - 25 = 0, 3*g = a + 11 for a.
4
Solve -2*y + 4 = -3*z, -5*y - 24 = -z + 2*z for z.
-4
Solve -5*i - 157 = 2*u - 128, u = -3*i - 17 for i.
-5
Solve 4*x = 274*l - 269*l + 37, 3*l + 4*x = -3 for l.
-5
Solve h = d - 3,... | {
"pile_set_name": "DM Mathematics"
} |
, -1/2?
-0.31
What is the closest to 0.2 in 9295, -9, 1/4, 19?
1/4
Which is the nearest to -0.6? (a) -2 (b) -920/9 (c) 0.07 (d) 12
c
What is the closest to -0.3 in 0.3, 24.5, -10/47, 4/5?
-10/47
What is the nearest to -2.93 in -0.6, 5, -525?
-0.6
Which is the closest to 608/59? (a) 5 (b) -3/5 (c) -3
a
What is th... | {
"pile_set_name": "DM Mathematics"
} |
e prob of sequence vn.
1/8
What is prob of sequence nob when three letters picked without replacement from bnrnrlnbnbonrlln?
3/560
Three letters picked without replacement from {v: 6, g: 6, s: 2, q: 2, f: 1}. Give prob of sequence vfg.
3/340
What is prob of sequence ts when two letters picked without replacement from {... | {
"pile_set_name": "DM Mathematics"
} |
8. Determine o(-760).
12
Let m(g) = 2*g**3 - 36*g**2 + 106*g - 653. Calculate m(16).
19
Let h(s) = 17*s**3 - 13*s**2 - 1528*s + 4633. Calculate h(3).
391
Let v(t) = -t**3 + 23*t**2 + 10*t - 251. Calculate v(19).
1383
Let q(g) = 281992*g - 2255947. Calculate q(8).
-11
Let y(r) = -58*r**3 + 25*r**2 + 572*r - 595. Determi... | {
"pile_set_name": "DM Mathematics"
} |
+ b. Calculate the common denominator of -9/4 and j.
12
Suppose 0 = 33*o - 42*o + 54. Calculate the smallest common multiple of o and 6.
6
Let v = -14126 + 29071/2. Let y = v - 2393/6. Find the common denominator of y and -1 - (3 + (-60)/16).
12
Let c be (-13 - -10)*(2 - (-13)/(-3)). What is the common denominator of ... | {
"pile_set_name": "DM Mathematics"
} |
eplacement from {z: 1, w: 2, c: 8, t: 5, u: 2}. What is prob of sequence zcwc?
7/4590
What is prob of sequence oqku when four letters picked without replacement from okguqhu?
1/420
Calculate prob of sequence bpy when three letters picked without replacement from {r: 1, p: 5, h: 1, b: 1, y: 2}.
1/72
Calculate prob of se... | {
"pile_set_name": "DM Mathematics"
} |
9
Work out -58425024611 + 4.
-58425024607
What is the difference between 3951294064 and 303?
3951293761
What is the difference between -165.504 and 135077?
135242.504
What is -0.90554 minus 2762960.59?
-2762961.49554
Put together 28143152512628 and -0.03.
28143152512627.97
Work out 6500688408912 + -0.2.
6500688408911.8... | {
"pile_set_name": "DM Mathematics"
} |
a + 9 = -3*j, j + 2 = -3*a - 1. Let d be (j/(-9))/((-3)/(-54)). Is u(d) a composite number?
False
Let t = 770 + -513. Is t a composite number?
False
Let v be (-6)/4*30*-1. Let k be (-1)/(-1 - (-50)/52). Let n = v - k. Is n prime?
True
Suppose 4*w - 20 = 2*s, 5*s = -2*w + 2 - 16. Let k = -4 - s. Suppose -2*a + 25 + 73 =... | {
"pile_set_name": "DM Mathematics"
} |
3*a**2 + 9*a - 6. Let y(m) = -25*m**3 + 7*m**2 + 19*m - 13. Let j(u) = 13*i(u) - 6*y(u). Determine b so that j(b) = 0.
-1, 0, 1/2
Suppose 3*a = -2*g + 26, -2*g - 17 = -2*a - 3*g. Suppose 20 = a*k - 3*k. Let 1/3*v**k + 0 + 0*v**3 - 1/3*v**2 + 0*v = 0. Calculate v.
-1, 0, 1
Suppose -4*h = h - 30. Let d = -3 + h. Let -10/... | {
"pile_set_name": "DM Mathematics"
} |
d to 5 dps?
0
Round -0.000278066 to seven decimal places.
-0.0002781
Round -1.7539049 to one decimal place.
-1.8
Round -29419.78 to the nearest 10000.
-30000
Round 6.895 to the nearest 10.
10
What is 0.00002361139 rounded to 6 decimal places?
0.000024
What is -0.294586 rounded to two decimal places?
-0.29
What is -0.00... | {
"pile_set_name": "DM Mathematics"
} |
-0.029830971 + 0.029858. What is n rounded to 6 dps?
0.000027
Suppose -14595 = -13*m - 172181. Let y = 18957 + m. What is y rounded to the nearest 100?
6800
Suppose 16*c - 18*c + 14454180 = -31*c. Round c to the nearest one thousand.
-498000
Let m = 207.83 - 176.2. Let r = 32 - m. Let j = r - -0.59. Round j to one dp.... | {
"pile_set_name": "DM Mathematics"
} |
0 = 2*f, -4*l = 5*f - 7. Sort -1/3, 1/8, -0.3, l in descending order.
1/8, -0.3, -1/3, l
Let f be ((0 + -4)/4)/(-1). Let i = -23 - -38. Let w = 13 - i. Sort f, -5, w in decreasing order.
f, w, -5
Let a be (-6)/(-9) + -1 + (-3484)/42. Let y = a + 83. Sort -5, 14, -3, y in descending order.
14, y, -3, -5
Suppose 0 = -8*m... | {
"pile_set_name": "DM Mathematics"
} |
0. What is the tens digit of j?
1
Let z = 23 + -47. Let f be (z/10)/(22/110). Let l = -7 - f. What is the units digit of l?
5
Let r(m) = 5*m**2 - 20*m - 4. What is the units digit of r(9)?
1
What is the hundreds digit of 82/5*(-18 + 68 - 15)?
5
Let g be ((-3)/(-4))/((20/(-304))/5). Let o = 100 + g. What is the tens di... | {
"pile_set_name": "DM Mathematics"
} |
5)/sqrt(7))/sqrt(5)).
160*sqrt(17)
Simplify 1 + (sqrt(130)/(sqrt(10)*-2) + (sqrt(156)*-2)/sqrt(12))**2 + 3.
341/4
Simplify -3*(3*(sqrt(132) + (sqrt(132) - sqrt(132)*-2*3) + sqrt(132)))/(sqrt(1200) - (sqrt(1200) - sqrt(1200)*2*1)).
-81*sqrt(11)/20
Simplify ((-3 + (sqrt(1573) - (sqrt(1573) - sqrt(1573)*3)))**2 + sqrt(157... | {
"pile_set_name": "DM Mathematics"
} |
Let x = 2.5 - -0.5. Let m = x - 2.6. Which is the third smallest value? (a) 0.3 (b) m (c) q
c
Let o = -62 + 433/7. Which is the third smallest value? (a) o (b) 1/2 (c) -0.3
b
Let g = 0.28 + 0.12. Which is the third smallest value? (a) 1 (b) 0.9 (c) g
a
Let j = -3 - -3.3. Let k = 79/5 + -583/35. What is the thi... | {
"pile_set_name": "DM Mathematics"
} |
th respect to h.
16*h**3
Let s be 15/(-12)*(-8)/2. Let i(w) = -7*w + 11 - 3*w - s*w. Let b(v) = -8*v + 6. Let j(d) = -7*b(d) + 4*i(d). What is the first derivative of j(p) wrt p?
-4
Let z(a) be the second derivative of -31*a**8/56 - a**6/10 - 55*a**4/4 + a**3/6 + 16*a + 18. What is the third derivative of z(h) wrt h?
-... | {
"pile_set_name": "DM Mathematics"
} |
2680470497 prime?
False
Is 3538013753 a prime number?
True
Is 41748483937 a composite number?
True
Is 118668793 prime?
False
Is 103833007651 a prime number?
False
Is 13694105119 a composite number?
True
Is 99598611221 prime?
True
Is 9755344657 a prime number?
False
Is 29922501673 composite?
False
Is 212448127 a prime n... | {
"pile_set_name": "DM Mathematics"
} |
(-1))?
True
Let u(o) = 12*o. Let g(n) = 35*n. Let k(y) = -5*g(y) + 14*u(y). Let j(m) = -m + 1. Let b be j(5). Is 13 a factor of k(b)?
False
Suppose -3*l = 4 - 16. Suppose -l*y + 190 = 5*r, 15 = 4*y - 7*y. Is 21 a factor of r?
True
Suppose -3*g + 53 = 3*s - 10, 0 = 5*g + 3*s - 101. Let p = 30 + g. Let t = p + -21. Is t ... | {
"pile_set_name": "DM Mathematics"
} |
243 rounded to four dps?
-0.0001
What is -104027 rounded to the nearest 10000?
-100000
What is 0.010075 rounded to 3 decimal places?
0.01
What is 1.1986 rounded to 2 decimal places?
1.2
Round 0.6017 to one dp.
0.6
What is 0.0001823 rounded to five dps?
0.00018
Round 0.0325 to two decimal places.
0.03
Round 10580000 to ... | {
"pile_set_name": "DM Mathematics"
} |
= -0.1 + -12.9. Let s = -13.3 - t. Is s greater than -0.5?
True
Suppose -2 = 3*m + 2*i, 2*i + 9 - 7 = 2*m. Is 1/51 equal to m?
False
Let m = 0.083 - -2.917. Which is greater: 17 or m?
17
Let m(y) = 2*y + 11. Let a be m(-6). Is a greater than or equal to -1?
True
Let l = 49/1185 - -2/79. Are -1 and l unequal?
True
Let ... | {
"pile_set_name": "DM Mathematics"
} |
108/99)
Simplify (((((u/u**(1/4))/u)/u)/u)**(-2/53))**(-50)*((u**4*u)/u**(1/9))**23 assuming u is positive.
u**(51611/477)
Simplify ((m**(-14)*m**(-4/7)*(m/m**(-8))/m**6)**(-3))**50 assuming m is positive.
m**(12150/7)
Simplify (((x**(-1))**24*x/x**(-6)*(x**(-3/5)/x)/x)**(-2/101))**(4/29) assuming x is positive.
x**(78... | {
"pile_set_name": "DM Mathematics"
} |
- 3*v - 32 = 3*s. Let i = -67 - -72. Calculate the least common multiple of i and s.
20
Let z(d) = -d**2 + 9*d - 5. Let a be z(7). Let p(t) = t**2 - 8*t - 7. Let i be p(a). What is the common denominator of 13/6 and ((-576)/14)/4 + i?
42
Let n(j) = 341*j - 28. Let h be n(7). Let k = h + -9527/4. Find the common denomin... | {
"pile_set_name": "DM Mathematics"
} |
(-1716)/308.
-3/7
What is (9 + -4)*1134/(-4050)*(-4)/(-14)?
-2/5
What is the value of (-33)/(29733/34) - (-1356)/2226?
4/7
Evaluate 32/(-2) + 84/134232*25619.
3/94
Evaluate 34386/39468*46 - 1/13.
40
Calculate (-64)/8 + ((-90)/(-19) - (-308 - -305)).
-5/19
What is ((-6)/(-5))/((-150)/(-13125)) + 6?
111
What is the valu... | {
"pile_set_name": "DM Mathematics"
} |
806?
2, 3806903
List the prime factors of 2071772.
2, 157, 3299
List the prime factors of 2315308.
2, 578827
List the prime factors of 1316270.
2, 5, 131627
What are the prime factors of 1140636?
2, 3, 7, 37, 367
List the prime factors of 3818915.
5, 53, 14411
List the prime factors of 695900.
2, 5, 6959
What are the p... | {
"pile_set_name": "DM Mathematics"
} |
-3/4*n + t*n**2 + 1/2.
(n - 2)*(n - 1)/4
Let u(z) = -8*z**3 - 23*z**2 + 52*z - 36. Let m(i) = 15*i**3 + 45*i**2 - 105*i + 70. Let o be 2/(-13) + (-296)/104. Let l(k) = o*m(k) - 5*u(k). Factor l(t).
-5*(t - 1)**2*(t + 6)
Let 2*i**3 + 5504/3 + 12392/3*i**2 + 49544/9*i = 0. Calculate i.
-2064, -2/3
Let b be (-11)/(-2) - (... | {
"pile_set_name": "DM Mathematics"
} |
*g**3/9 + 20*g**2/3.
-4*g**2*(g - 15)/9
Determine k so that -k**5/6 - 10*k**4/3 - 47*k**3/2 - 203*k**2/3 - 196*k/3 = 0.
-7, -4, -2, 0
Factor -l**2/2 + 161*l/2.
-l*(l - 161)/2
Factor -2*g**4 - 84*g**3 - 576*g**2 - 1088*g.
-2*g*(g + 4)**2*(g + 34)
Solve -2*d**4/3 - 106*d**3/3 + 276*d**2 - 240*d = 0.
-60, 0, 1, 6
Factor 3... | {
"pile_set_name": "DM Mathematics"
} |
94*f**2. Let w(b) = b**2. Give x(w(t)).
694*t**4
Let k(o) = 4*o - 7. Let w(r) = 3*r - 6. Let m(n) = -6*k(n) + 7*w(n). Let h = 15 + -9. Let i(d) = -3*d - 2*d + h*d. Give m(i(q)).
-3*q
Let p(j) = -4*j. Let x be (4/10)/((-1)/(-40)). Let h(o) = -16 + x + o**2. What is p(h(l))?
-4*l**2
Let w(d) = 3*d. Let o(b) = 175*b**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
at is prob of sequence eaaa?
1/4
Two letters picked without replacement from {o: 3, k: 4, f: 1, u: 4, j: 1}. What is prob of sequence uf?
1/39
Calculate prob of sequence rrim when four letters picked without replacement from imddmirri.
1/252
Calculate prob of sequence qix when three letters picked without replacement f... | {
"pile_set_name": "DM Mathematics"
} |
770 to the nearest integer?
108
What is the third root of 3318460 to the nearest integer?
149
What is 269464 to the power of 1/8, to the nearest integer?
5
What is 521124 to the power of 1/6, to the nearest integer?
9
What is the ninth root of 934218 to the nearest integer?
5
What is the third root of 13084884 to the n... | {
"pile_set_name": "DM Mathematics"
} |
t k = -8.9 - h. Sort k, 0.8, -3.
-3, k, 0.8
Let y = -4 - -3. Let r = 2 + y. Let s = 7 + -12. Put 4, s, r in increasing order.
s, r, 4
Let t = -13 + 12.8. Let m = t + -10.8. Sort m, 5, -3.
m, -3, 5
Let i be 3/((-27)/(-24))*-3. Let u(p) = -p**3 - 8*p**2 + 2*p + 12. Let t be u(i). Let x = 6 + t. Put -2, x, -0.1 in increas... | {
"pile_set_name": "DM Mathematics"
} |
What is 0.0002084 rounded to 5 decimal places?
0.00021
What is 0.000034361 rounded to seven dps?
0.0000344
What is -0.00010972 rounded to four decimal places?
-0.0001
Round -10.474 to 1 decimal place.
-10.5
Round 0.0000703 to 4 decimal places.
0.0001
What is 3069000 rounded to the nearest 100000?
3100000
Round -51431 t... | {
"pile_set_name": "DM Mathematics"
} |
common divisor of 13 and 3445?
13
What is the highest common factor of 8 and 454?
2
What is the highest common divisor of 21 and 567?
21
Calculate the greatest common factor of 2838 and 66.
66
Calculate the highest common factor of 2776 and 64.
8
Calculate the highest common factor of 135 and 1440.
45
Calculate the gre... | {
"pile_set_name": "DM Mathematics"
} |
o the nearest integer?
22
What is 36193826 to the power of 1/2, to the nearest integer?
6016
What is the square root of 340040612 to the nearest integer?
18440
What is 113434369 to the power of 1/3, to the nearest integer?
484
What is 20588221 to the power of 1/4, to the nearest integer?
67
What is the square root of 5... | {
"pile_set_name": "DM Mathematics"
} |
v(i) = 3*i - 1232. Let f(b) = 7*b - 2774. Let z(o) = -4*f(o) + 9*v(o). Let t(k) = -k**3 + 7*k**2 - 4*k - 1. Let w be t(6). Give z(w).
-3
Suppose 16 = 2*w + 2*k, k + 14 - 4 = 5*w. Suppose -13*t + 21 = -18. Let b(x) = -t + 3*x - 18*x**2 + 7 + 17*x**2. Give b(w).
4
Let l(g) = -9*g**2 - 2*g. Let w(t) be the first derivati... | {
"pile_set_name": "DM Mathematics"
} |
000?
6000000
Let t(r) = -1795*r - 55. Let v be t(-9). What is v rounded to the nearest one thousand?
16000
Let y = 5.05 - 5. Let f = -0.05000001 + y. Round f to seven decimal places.
0
Let z = 38.1 + -5.1. Let b = -33.29 + z. Let t = b + 0.01. Round t to 1 decimal place.
-0.3
Let c = -0.13 - 0.11. Let n = c - -0.06. Wh... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(176))**2 + -2 + -2)) + 0).
-16*sqrt(11) + 6348
Simplify (sqrt(108)/sqrt(225)*-4)/(3*2*sqrt(256)) + -2.
-2 - sqrt(3)/60
Simplify ((sqrt(136) - ((-1*sqrt(136) - sqrt(136)) + sqrt(136)))*3*-4)/(sqrt(88)/(1*sqrt(539))).
-168*sqrt(17)
Simplify (-2*sqrt(76)*-1 - 5*(sqrt(76) - -2*sqrt(76)))/(sqrt(144)*-2*4 + sqrt(144) - ... | {
"pile_set_name": "DM Mathematics"
} |
(2)/2
Simplify (((-2*sqrt(198) + sqrt(198))*2)/(2*sqrt(900) + sqrt(900)))/(sqrt(1584)/sqrt(4) - sqrt(22)/(sqrt(16)/sqrt(8))).
-sqrt(2)/75
Simplify 4*(sqrt(2448) - (sqrt(2448) + 0)**2 - sqrt(2448)) + 3 - (sqrt(170)/sqrt(5)*-6)/((sqrt(2) + 2*sqrt(2))*-6).
-9789 - sqrt(17)/3
Simplify (-2*(-1*sqrt(66) - sqrt(66)) + -2*(-4*... | {
"pile_set_name": "DM Mathematics"
} |
-1655, -1771, -1887, -2003?
-2119
What comes next: -3466, -6881, -10296?
-13711
What is next in 83, 43, -21, -109?
-221
What is the next term in -1465, -1460, -1455, -1450, -1445?
-1440
What is the next term in 6632, 6625, 6618?
6611
What is the next term in 65857, 65796, 65637, 65332, 64833, 64092?
63061
What is the n... | {
"pile_set_name": "DM Mathematics"
} |
m(f) = 4*s(f) - 11*u(f). What is the first derivative of m(d) wrt d?
-32*d
Let y(d) = -7*d**3 + 5*d**2 + 7*d - 6. Let t(h) = -4*h**3 + 3*h**2 + 3*h - 3. Let l(p) = -7*t(p) + 3*y(p). What is the third derivative of l(s) wrt s?
42
Suppose 0 = 2*o + b - 17, 0 = 4*o + 5*b - 0 - 25. Find the second derivative of o*s**2 - 1... | {
"pile_set_name": "DM Mathematics"
} |
is 1339454909 to the power of 1/3, to the nearest integer?
1102
What is 158170301 to the power of 1/3, to the nearest integer?
541
What is the seventh root of 684321202 to the nearest integer?
18
What is 974451600 to the power of 1/2, to the nearest integer?
31216
What is 51379851 to the power of 1/3, to the nearest i... | {
"pile_set_name": "DM Mathematics"
} |
69
Calculate -206904576 divided by 1544064.
-134
Calculate -137263752 divided by 42248.
-3249
Divide -23162 by -5385.
23162/5385
Divide 9128130 by -2.
-4564065
Calculate 651631992 divided by -162907998.
-4
Divide -44512015 by -5.
8902403
Divide -5 by 2657828.
-5/2657828
-11 divided by -16334980
11/16334980
Calculate 36... | {
"pile_set_name": "DM Mathematics"
} |
3*w = q - 3, q - 7 = v*w for q.
3
Suppose -42 + 56 = -2*f + 3*t, 5*f - 34 = -4*t. Solve l + 11 = f*y, 0 = -5*l - 5*y - 7 + 12 for l.
-3
Let r be 214/2033 - (-148)/38. Solve r*x - 5*z = 33, -3*x - 28*z + 1 = -27*z for x.
2
Let u = -1475 + 1500. Solve -j = -d, -22*j + 25*j = -2*d - u for d.
-5
Suppose -20*f - 465 = -51*... | {
"pile_set_name": "DM Mathematics"
} |
n + 20 = p*n. Solve -n*w + 11 = -9 for w.
5
Suppose -33*h = -32*h + 38. Let g be -1*(h - (-15)/(-5)). Suppose w - g + 25 = 0. Solve 4 = -4*t + w for t.
3
Suppose m - 5*m = -20. Let p(n) = 1218*n**2 + 10*n - 1. Let c be p(1). Suppose 1226*q = c*q. Solve q = -m*h + 8*h - 6 for h.
2
Let i(o) = 18*o + 742. Let u be i(-41).... | {
"pile_set_name": "DM Mathematics"
} |
33*u**2).
3*u**5
Expand (3*l**3 + 0*l**3 - l**3)*(-l + 6 - 6)*(2 - 2 - 3).
6*l**4
Expand k**4 - 17*k**3 - 19*k**3 - 90*k**3 + (-k**4 - 4*k**4 + 4*k**4)*(4 - 4 + 2).
-k**4 - 126*k**3
Expand (-2*g - 3 + 3)*(0 + 3 - 5)*(0 - 3 + 1).
-8*g
Expand (1 - 1 + i)*(4 + 57 - 6).
55*i
Expand (-4*p**3 + 6*p**3 + 2*p**3 + (4 - 4 - 2*p... | {
"pile_set_name": "DM Mathematics"
} |
+ 232*w**3/15 + 8*w**2/5 - 2752*w/15 - 3712/15 = 0?
-2, 4, 116
Let 5*z**4 - 205*z**3 - 1290*z**2 + 6280*z + 7360 = 0. What is z?
-8, -1, 4, 46
Factor -3*i**2/4 + 2067*i/2 + 54249/4.
-3*(i - 1391)*(i + 13)/4
Factor -4*q**2 + 308224*q - 5937627136.
-4*(q - 38528)**2
Suppose 4*y**4 - 6292*y**3 + 130944*y**2 - 895232*y + 1... | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence zg.
1/14
Calculate prob of sequence rm when two letters picked without replacement from dxrrxrmrrn.
1/18
Two letters picked without replacement from {r: 2, h: 1, p: 2, q: 1, e: 1, s: 1}. Give prob of sequence rs.
1/28
What is prob of sequence jhdh when four letters picked without replacement from {v: ... | {
"pile_set_name": "DM Mathematics"
} |
to the nearest integer?
655
What is the third root of 1350408003 to the nearest integer?
1105
What is the eighth root of 45550704 to the nearest integer?
9
What is the seventh root of 88201527 to the nearest integer?
14
What is 270857446 to the power of 1/3, to the nearest integer?
647
What is the eighth root of 55967... | {
"pile_set_name": "DM Mathematics"
} |
8)/(-60) - (-2)/10. Give i(s).
5
Let c = 1360 + -1354. Let u(m) = m**2 - 11*m + 5. Let s(p) = -2*p**2 + 21*p - 10. Let t(h) = 4*s(h) + 7*u(h). Calculate t(c).
1
Let f(r) be the first derivative of 2*r**2 - 1/3*r**3 - 1 + 4*r. Determine f(3).
7
Let u(m) = 5*m - 4 + 0*m**3 + 3*m**3 - 5*m**2 - 2*m**3 - 2. Give u(4).
-2
Su... | {
"pile_set_name": "DM Mathematics"
} |
ilogram?
3250
How many millilitres are there in 7/4 of a litre?
1750
Convert 40.38649us to seconds.
0.00004038649
What is seventeen quarters of a microgram in nanograms?
4250
What is thirty-seven fifths of a gram in milligrams?
7400
How many months are there in one quarter of a millennium?
3000
How many micrometers are... | {
"pile_set_name": "DM Mathematics"
} |
13324 rounded to 5 decimal places?
-0.59231
Round -2001994.222 to the nearest 10000.
-2000000
Round 0.0000008975857 to six dps.
0.000001
Round -0.000679255146 to 5 decimal places.
-0.00068
Round 5220632910 to the nearest 1000000.
5221000000
What is 4.816598 rounded to zero dps?
5
Round 6577851.357 to the nearest 10000.... | {
"pile_set_name": "DM Mathematics"
} |
+ 2)
Solve 4*d**4 - 68*d**3 - 228*d**2 - 236*d - 80 = 0.
-1, 20
Factor 2*c**2 + 5160*c - 5162.
2*(c - 1)*(c + 2581)
Solve -2*k**2 + 2900*k - 1051250 = 0.
725
Suppose -2*d**5 - 12*d**4 - 4*d**3 + 40*d**2 + 54*d + 20 = 0. What is d?
-5, -1, 2
Factor 784*j**3 + 9296*j**2 - 1340*j + 48.
4*(j + 12)*(14*j - 1)**2
Factor -4*n... | {
"pile_set_name": "DM Mathematics"
} |
AM
What is 39 minutes after 1:23 PM?
2:02 PM
What is 609 minutes before 3:48 PM?
5:39 AM
How many minutes are there between 3:53 PM and 3:02 AM?
669
What is 677 minutes after 1:39 AM?
12:56 PM
What is 136 minutes before 8:33 AM?
6:17 AM
What is 595 minutes after 4:56 PM?
2:51 AM
What is 310 minutes after 11:41 AM?
4:5... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 3*l = 4*s - o - 18, 3*s - 4 = -4*l. Which is smaller: -3 or l?
-3
Let p = -45 - -35.4. Let w = 81.6 + p. Let l = w - 74.1. Is -2/5 > l?
True
Let v(i) = 1037*i**2 - 12*i - 10. Let b be v(-1). Which is bigger: 1038 or b?
b
Let j = -245 - -1. Let k = -401 - j. Which is bigger: -156 or k?
-156
Let o = 152.75 + -1.7... | {
"pile_set_name": "DM Mathematics"
} |
(c) 0.5
b
Let w = -1183.3 - -1184. What is the closest to 1 in -2, -1, -2/7, w?
w
Let r = 9.2 + -6.3. Let k = -0.1 - r. Suppose 6*d - 9*d - 3 = 0. What is the closest to d in 5, k, -0.1?
-0.1
Let h = 1 - 1.4. Let k = -61 + 59. Which is the closest to k? (a) 0.3 (b) 2/21 (c) h
c
Let j = -5 - -5. Let k(c) = c**2 + 14*... | {
"pile_set_name": "DM Mathematics"
} |
059037*s**3/4 - 1787*s**2. Determine a so that z(a) = 0.
-477
Let i = -61 + 64. Factor 10*y**i - 30*y**3 + 13*y**3 + 2*y**3 + 20*y.
-5*y*(y - 2)*(y + 2)
Let o(w) = w**3 - 33*w**2 + 5*w - 74. Let r be o(33). Suppose 95*b**3 + 188*b**3 + 2187*b - r*b**3 - 1296*b**2 = 0. What is b?
0, 27/8
Let b(l) be the third derivative... | {
"pile_set_name": "DM Mathematics"
} |
52*a*u + 18*a - 72*u - 18
What is the derivative of 191350*u**2 - 74036 wrt u?
382700*u
Find the second derivative of 3133*g**2*m**2 - 159*g**2*m*o**2 - 12*g**2*m*o + 8*g**2 + 5*m**2*o**2 wrt m.
6266*g**2 + 10*o**2
Find the third derivative of -5*d**3*o**2 - 558*d**3 + 1643*d**2 + 4*d*o**2 wrt d.
-30*o**2 - 3348
What i... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 50699493*a**2
What is the third derivative of 581258644*c**6 + 4*c**2 - 38239454?
69751037280*c**3
Find the third derivative of 12*l**5 - 4055182*l**3 + 1399013*l**2 + 2.
720*l**2 - 24331092
Differentiate 597037*g*h**2 - 15*g*h + 362696433*g + 11*h with respect to h.
1194074*g*h - 15*g + 11
Differentiate 9*b*w*y -... | {
"pile_set_name": "DM Mathematics"
} |
late the lowest common multiple of 77 and q.
1617
Suppose 6*f = -3*w + 10*f - 380, 4*w + 2*f + 536 = 0. What is the common denominator of -99/28 and (w/(-30))/(21/5)?
84
Let k(c) be the first derivative of 7*c**4/2 - 4*c**3/3 - 4*c**2 - 3*c - 37. Let d be k(-3). What is the common denominator of (-8)/12 + d/(-198) and ... | {
"pile_set_name": "DM Mathematics"
} |
33. Let y(h) = -5*h**3 - 502*h**2 - 3*h + 944. Let z(s) = -3*j(s) + 8*y(s). Find the first derivative of z(l) wrt l.
6*l**2 + 1010*l
Let s(d) = -d**3 - 10*d**2 + 14*d + 24. Let a be s(-11). Let v(b) = -b - 5. Let n be v(a). Find the second derivative of 45*i**n - 10*i - 46*i**4 - 10*i wrt i.
-12*i**2
Let t(f) be the fi... | {
"pile_set_name": "DM Mathematics"
} |
nded to the nearest 1000?
11000
Suppose 2*y + 605340 + 1610370 = 0. Let g = y + 2407859. Let b be (g - 3) + 2 + -3. Round b to the nearest 100000.
1300000
Let q = -2975.807 - -2992.8. Let g = 17 - q. Round g to three dps.
0.007
Suppose -2*k = -1 + 25. Let s be (3200/6)/(k/1350). What is s rounded to the nearest ten tho... | {
"pile_set_name": "DM Mathematics"
} |
8 = a. Suppose -4*r = -2*o + 6*o, 3*o = -r + f. Solve -3*w + o*w = 3 for w.
-3
Suppose -5*f = -3*f + 3*z - 45, 5*z - 105 = -5*f. Suppose 9*m = f*m. Solve -u + 2*u - 3 = m for u.
3
Suppose -5*o - 4*t - 8 - 12 = 0, -2*t - 10 = -5*o. Solve 9*u - 21 + 75 = o for u.
-6
Let c(m) = -92*m**3 - 280*m - 560. Let k be c(-2). Sol... | {
"pile_set_name": "DM Mathematics"
} |
s?
2
Suppose -4*j - 3*x + 381 = 0, 0 = -j - x - 0*x + 94. What is the tens digit of j?
9
Let z(s) = -12*s + 3. Let o be z(2). Let b = 35 + o. What is the units digit of b?
4
Let w(d) = -d**3 + 4*d**2 + 4*d + 3. Let s be w(5). Let b = s + 4. What is the tens digit of (-5)/4*(-10 + b)?
1
Let k be (1 + 1)/(7/21). Let u b... | {
"pile_set_name": "DM Mathematics"
} |
104? (a) -0.3 (b) 9 (c) 0 (d) -1/7 (e) -3 (f) 243
b
What is the closest to -4/21 in 2, -555, -0.2, -4?
-0.2
Which is the closest to 0.0696? (a) 1 (b) -10/7 (c) 0.068
c
What is the closest to -1 in 0.092, 920, -8/7?
-8/7
What is the nearest to 0 in -40, 50, -26.5, -0.1?
-0.1
What is the closest to -279 in -3/8,... | {
"pile_set_name": "DM Mathematics"
} |
mplify (o/(o**(-2/21)*o))/(o**(-5)*o) assuming o is positive.
o**(86/21)
Simplify d*d**(-9)/d*d*d**(-5/9)/d assuming d is positive.
d**(-86/9)
Simplify k*k/k**(5/13)*k*k*k/(k*k*k/(k**(2/27)*k)) assuming k is positive.
k**(944/351)
Simplify g*g**(-3)*(g*g**(-2/7))/g*(g*g*g**(-1))/g**(-1/6) assuming g is positive.
g**(-4... | {
"pile_set_name": "DM Mathematics"
} |
from {d: 4, q: 7, j: 2, f: 1, x: 1, r: 2}?
1/170
What is prob of picking 2 u when two letters picked without replacement from zkkkzkkuukkzzzku?
1/40
Calculate prob of picking 4 j when four letters picked without replacement from {m: 1, j: 14, o: 2}.
143/340
Calculate prob of picking 4 x when four letters picked without... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*w + 12 = 5*b. Is p(b) a prime number?
False
Let i(u) = -132*u**2 + 2. Let q be i(-2). Let z = -349 - q. Is z composite?
True
Let p(n) = n**3 - 2*n**2 - 3*n + 4. Let m be p(5). Suppose 2*v - 4*v + 4 = 0. Suppose v*x + 159 = 3*t, 2*x = -t - x + m. Is t a composite number?
True
Let o = 2371 + -1322. Is o prime?
True
L... | {
"pile_set_name": "DM Mathematics"
} |
first derivative of -4/5*t + 1/10*t**4 - 3 - 1/5*t**2 + 4/15*t**3. Factor y(p).
2*(p - 1)*(p + 1)*(p + 2)/5
Let i be 30/6 - (0 + 0). Factor -3*t**i + 4*t**4 + t**3 + 4*t**5 - 2*t**4.
t**3*(t + 1)**2
Let q be (3/(-6))/((-3)/18). Factor d - d + 3*d**q + 0*d.
3*d**3
Let o = 118/213 - -8/71. Find r, given that -o*r**2 + 4/... | {
"pile_set_name": "DM Mathematics"
} |
*a + 2 - 2. Let d(l) = 3*l. Determine d(y(m)).
-6*m
Let f(r) be the first derivative of -304*r**3/3 + 219. Let g(o) = -2*o. What is f(g(n))?
-1216*n**2
Let z(o) be the second derivative of 0 + 7*o + 0*o**2 + 0*o**3 + 5/4*o**4. Let b(v) = 4*v. What is z(b(a))?
240*a**2
Let a(z) = -48*z**2 + 33. Let i(n) = 6*n**2 - 4. Le... | {
"pile_set_name": "DM Mathematics"
} |
(-6)). Let x = -7 - -6.8. Which is the third biggest value? (a) u (b) -4/9 (c) x
b
Let y = 36 - 40. Let d = 0.6 - 0.2. Which is the third smallest value? (a) y (b) d (c) -5
b
Let b = 1.5 - 7.5. What is the third smallest value in 0.02, b, 3/2?
3/2
Let p = -0.85 - -0.7. Let j = p + 0.05. Which is the third biggest... | {
"pile_set_name": "DM Mathematics"
} |
ue
Is 67741 a prime number?
True
Is 91079 composite?
False
Is 59611 prime?
True
Is 35069 a composite number?
False
Is 18485 composite?
True
Is 36265 a prime number?
False
Is 65551 prime?
True
Is 13229 composite?
False
Is 5197 a composite number?
False
Is 59921 a composite number?
False
Is 108739 a prime number?
True
Is... | {
"pile_set_name": "DM Mathematics"
} |
- 35*u**5 - 46*u**5 + 3*u**5 + 0*u**5 - u**5 + (u**3 - 3*u**3 + 4*u**3)*(2*u**2 + 0*u**2 + 0*u**2).
-55*u**5
Expand (-266*d - 323*d + 72*d)*((-d + 2 - 2)*(13 - 13 - 2*d) + d**2 + d**2 + d**2).
-2585*d**3
Expand (-139 + 197 + 56 + 36)*(-2*l - 4 + 4).
-300*l
Expand (-v**2 - 7*v**2 - 2*v**2)*(-368 + 67*v + 368 + v - 3*v ... | {
"pile_set_name": "DM Mathematics"
} |
1))*(c**(8/7)*c**(2/3)*c)**37 assuming c is positive.
c**(25042/231)
Simplify (o/(((o*o/(o*o**0))/o)/o)*o)**(-3/13)*(o*o/(o*o**(-1/9))*o)/(o/(o/o**6))*(o**(-2/11)*o**(-4))/(o**(-1))**(-5/11) assuming o is positive.
o**(-11863/1287)
Simplify ((((h*h/h**1)/h*h*(h/h**(-2))/h)/(h**(-1/4)/h)**(-12/11))**14)**4 assuming h is... | {
"pile_set_name": "DM Mathematics"
} |
92
Let o(b) be the first derivative of -5*b**7/21 - 13*b**4/12 + 18*b + 10. Let v(a) be the first derivative of o(a). What is the third derivative of v(d) wrt d?
-600*d**2
Let n be -48*4/(-4) - -4. Find the second derivative of 9*g**3 + 9*g - 23*g**3 + 52 - n wrt g.
-84*g
Let u(g) be the first derivative of g**7/30 - 7... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(114)))/(-2*sqrt(24)))**2.
247/16
Simplify ((sqrt(2299) - sqrt(2299)*-2*-5 - ((sqrt(2299) - (-1 + sqrt(2299))) + 0) - (2 + -1*sqrt(2299) + sqrt(2299) + -1*(-1 + sqrt(2299)))) + -2)**2.
1056*sqrt(19) + 147172
Simplify (-5*-2*sqrt(528)*2*-6)/(6*(sqrt(55)/sqrt(45) + sqrt(11)) - -2*(2*sqrt(66))/sqrt(6)).
-40*sqrt(3)
Si... | {
"pile_set_name": "DM Mathematics"
} |
he nearest to 0.1 in n, -0.05, 5?
-0.05
Let h = -87/2852 + -7/124. Which is the closest to 2? (a) h (b) 0 (c) -3 (d) -177
b
Let k(g) = 4 - 8 - 3*g**3 - 5*g**2 - 4*g + 3*g**2 - 4*g**2. Let x be k(-2). What is the nearest to 0.1 in 0.1, x, 2/3?
0.1
Let t = 0.64 - 5.64. Let x = 70.07 + 0.33. Let g = -70 + x. Which is ... | {
"pile_set_name": "DM Mathematics"
} |
*u for u.
-2
Let j be (-10)/(-35) + (-6)/21. Solve -o - 1 = -j*o for o.
-1
Let k = -18 - -22. Suppose -v = k, -43 = -4*o - 2*v - 3. Solve -o = -4*y + y for y.
4
Let v be 2*6/(-4) - -8. Suppose 0 = -k + v*k. Let u(o) = o + 4. Let a be u(k). Solve -a*t + 1 = -19 for t.
5
Suppose 0*b - b - 3 = 2*a, 2*a = 4*b - 18. Let c =... | {
"pile_set_name": "DM Mathematics"
} |
a**2 + 1/5*a**5 + 0*a - 8/3*a**v - 1/12*a**6. Factor h(m).
2*(m - 2)**3*(m + 1)
Let z be 15/(-2)*8/10*-1. Suppose -u = z - 17. Suppose 52 - u + 4*f**2 - 5 - 24*f = 0. Calculate f.
3
Let v(d) be the second derivative of d**6/285 - d**5/38 - 17*d**4/114 + 43*d**3/19 - 180*d**2/19 - 184*d. Find r, given that v(r) = 0.
-5,... | {
"pile_set_name": "DM Mathematics"
} |
*3/15 - 21*y**2/5 - 8*y - 611. Factor p(z).
-2*(z + 1)*(z + 20)/5
Let y(d) = d**2 + 1. Let r(p) be the third derivative of 1/3*p**4 - 8*p**2 + 5/6*p**3 + 0 + 0*p + 3/20*p**5. Let n(a) = r(a) - 5*y(a). Factor n(w).
4*w*(w + 2)
What is c in 0 - 3168*c + 526/11*c**3 + 4/11*c**4 - 2/11*c**5 - 48*c**2 = 0?
-11, 0, 12
Solve ... | {
"pile_set_name": "DM Mathematics"
} |
7304
Calculate -0.07 - 18.
-18.07
What is 4 minus -307206?
307210
Add 329125.5 and -0.4.
329125.1
What is 127631 - -0.4?
127631.4
What is -0.1 minus -0.001886?
-0.098114
Work out 0.3 + 364.
364.3
Add together -33 and 48580.
48547
What is 6 take away 0.845?
5.155
What is the difference between -0.24 and -42?
41.76
Total... | {
"pile_set_name": "DM Mathematics"
} |
543204*y**2 - 473616*y = 0. Calculate y.
-69, 0, 1, 13/2, 132
What is p in -p**4/6 + 359*p**3/2 - 27809*p**2/6 - 188899*p/2 - 236775 = 0?
-11, -3, 41, 1050
Factor 5*j**2 - 59955*j - 8062460.
5*(j - 12124)*(j + 133)
Let 1723653*t**3/7 - 11938379*t**2/7 - 890380*t/7 + 36 = 0. Calculate t.
-2/27, 18/63839, 7
Factor -40159... | {
"pile_set_name": "DM Mathematics"
} |
, 31283?
39324
What is the next term in 71, -41, -363, -1009, -2093, -3729, -6031, -9113?
-13089
What comes next: 80291, 160586, 240979, 321518, 402251?
483226
What is the next term in -2984, -11955, -26902, -47825, -74724?
-107599
What comes next: 21346, 85819, 193404, 344083, 537838, 774651, 1054504, 1377379?
1743258... | {
"pile_set_name": "DM Mathematics"
} |
e of 5 - 6*i**y + 7*i**2 + 1 - 3*i**2 wrt i?
-4*i
Let h(q) = q. Let c be h(4). Suppose -3 = -4*t + 5. Find the second derivative of b + t*b**4 - c*b + b wrt b.
24*b**2
Differentiate -16*i + 20 + 41*i - 63*i wrt i.
-38
Let o(r) be the third derivative of -r**6/60 - 19*r**5/60 + 25*r**2. What is the third derivative of o... | {
"pile_set_name": "DM Mathematics"
} |
76 and 1144.
572
What is the greatest common factor of 18387 and 9?
9
Calculate the greatest common divisor of 1056 and 47344.
176
Calculate the greatest common factor of 25 and 227875.
25
Calculate the highest common factor of 11798 and 4879.
17
What is the greatest common divisor of 396 and 31548?
132
What is the hig... | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 12 is divided by u.
5
Suppose -s - 4*s = -60. Suppose -3*r + 70 = -r. What is the remainder when r is divided by s?
11
Suppose -2*t + t + 341 = 5*a, 0 = -a + 2*t + 77. Calculate the remainder when a is divided by 20.
9
Suppose -4*h + 58 = -5*i, 4*h - h - 3*i = 42. Suppose 46 = 3*x - 95. Calculate th... | {
"pile_set_name": "DM Mathematics"
} |
- 2*v + 0*v).
-4*v**2
Expand 29*q + 90*q - 51*q + (-2*q + 1 - 1)*(-3 + 2 - 1) - q + 0 + 0.
71*q
Expand -2*a - a + a + (-1 - 2 + 0)*(4 - 4 - 2*a)*(-1 + 7 - 1).
28*a
Expand (3*b**2 - 3*b**2 - b**3)*(-9*b - 3*b + 2*b)*(-5*b + 2*b + b).
-20*b**5
Expand 0*c**2 - c**2 - 4*c**2 + (-c - 3 + 3)*(0*c - c + 0*c).
-4*c**2
Expand (... | {
"pile_set_name": "DM Mathematics"
} |
r be 4713/2357 - (2 - 0). Let m = r - 25875/122564. Let w = m - 1/26. Is w > 0?
False
Let l = -8 + 7. Is -4 < l?
True
Let s be (-3)/((-9)/6) + -2. Suppose s = -5*k + 3*b - 4*b + 4, -5*b = 5. Let h = k - 0. Which is smaller: -1 or h?
-1
Let x be (-2 - 147/(-69))/((-21)/28). Which is greater: x or -1?
x
Let l = -8 + 9. ... | {
"pile_set_name": "DM Mathematics"
} |
is o(i)?
-8
Let w(l) be the first derivative of l**3/3 + 3*l**2/2 + l + 32. Give w(-5).
11
Let j be (-570)/14 - (-14)/(-49). Let b = j - -43. Let v(g) = -g + 4*g**3 - 3*g**2 - 3*g**3 + 0*g. Give v(b).
-6
Suppose -4*r + 21 = -i, -4*i - 14 - 15 = -5*r. Let k(g) = -g**2 + 9*g - 11. Give k(r).
9
Let i(r) be the second deri... | {
"pile_set_name": "DM Mathematics"
} |
144
Calculate the highest common factor of 11 and 352.
11
Calculate the greatest common divisor of 16 and 3728.
16
What is the highest common factor of 714 and 2278?
34
Calculate the greatest common divisor of 52 and 793.
13
Calculate the greatest common factor of 6336 and 550.
22
Calculate the greatest common factor o... | {
"pile_set_name": "DM Mathematics"
} |
3*z, -z + 5*z = -2*f - 10. Let h be ((-6)/z)/(1/(-2)). Sort n, h, 2 in increasing order.
h, n, 2
Let i = 3 - 3.2. Let k = 3.2 - 0.2. Put k, i, -0.5 in decreasing order.
k, i, -0.5
Let h = 0.57 - 0.07. Put 1/9, 2/3, h in increasing order.
1/9, h, 2/3
Suppose -l + 2*g = 1, 0 = l + 4*l - g - 22. Let h(s) = -4 + 4 + 4*s. L... | {
"pile_set_name": "DM Mathematics"
} |
3, -7709, -17769, -31853, -49961?
-2012*o**2 + 339
What is the l'th term of 92, 236, 582, 1232, 2288, 3852?
17*l**3 - l**2 + 28*l + 48
What is the q'th term of 2068, 2085, 2108, 2131, 2148, 2153, 2140, 2103?
-q**3 + 9*q**2 - 3*q + 2063
What is the h'th term of 33, 60, 101, 162, 249?
h**3 + h**2 + 17*h + 14
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
y 7?
6
Suppose 5*q - 3*v = -0*v + 278, 0 = 2*q - 3*v - 104. What is the remainder when q is divided by 15?
13
Let r = -185 + 223. Let h(s) = s**2 - s. Calculate the remainder when r is divided by h(-4).
18
Calculate the remainder when 54 is divided by -1*(-2)/6*12 - -4.
6
Let n = 1 - 1. Let t be ((-26)/(-3))/(28/(-42))... | {
"pile_set_name": "DM Mathematics"
} |
ors of ((-6)/(-4) + -1)*m?
37
Let d = -13 + 25. Let c(k) = 26*k - 87. What are the prime factors of c(d)?
3, 5
Let o(m) be the first derivative of 2*m**3/3 + 3*m**2 - 8*m - 14. What are the prime factors of o(-8)?
2, 3
Suppose -10*r + 8750 = -7*r - 5*q, -2*q = -10. What are the prime factors of r?
3, 5, 13
Suppose 4*g ... | {
"pile_set_name": "DM Mathematics"
} |
u = -a + 16. Suppose -3*k - u = 5. Calculate t(k).
7
Let x(r) = r**2 + 7*r + 7. Let m = 81 + -87. Give x(m).
1
Let a(v) = 3*v + 2*v + 0*v + 4*v. Determine a(-1).
-9
Let z(c) = c**3 + 3*c**2 + 2*c + 3. Let l(q) = -4*q**2 - q. Suppose 0 = 4*m - 3*t - 8, 2*m = -2*m - 2*t - 12. Let h be l(m). Give z(h).
-3
Let n be -5*4*3/... | {
"pile_set_name": "DM Mathematics"
} |
Let n be c(3). Solve 5*z - n = 4 for z.
1
Suppose 17 = z + 24. Let r(w) = w + 7. Let q be r(z). Solve -3*k - k + 16 = q for k.
4
Let n = 89 - 89. Suppose n*b = -b + 2. Solve b*v = 3*v - 2 for v.
2
Let n be (1/2)/(2/(-156) - 0). Let h = n + 48. Solve -h*v + 13*v = 0 for v.
0
Let k = 12 + -6. Let z = 5 + -9. Let d = z +... | {
"pile_set_name": "DM Mathematics"
} |
/11)
Simplify (p**3*p/p**(-2))**(-3/4) assuming p is positive.
p**(-9/2)
Simplify (((m/(m*m*m**(-1/7)))/m)/m*m)/(m/((m/(m*m*m**4/m))/m)*m)*(m**1)**(-2/45) assuming m is positive.
m**(-2804/315)
Simplify (w/w**(-6/7))/(w**4/w) assuming w is positive.
w**(-8/7)
Simplify q**(-11)/(q*q/q**(-13)) assuming q is positive.
q**... | {
"pile_set_name": "DM Mathematics"
} |
127, 62, 2, -2/9, -8
Put -21, 0, 1, -3, 4, 7672, -2 in descending order.
7672, 4, 1, 0, -2, -3, -21
Put -3, 24.6, -0.2, 0.8, 3 in ascending order.
-3, -0.2, 0.8, 3, 24.6
Sort -5, 2218/639, 0.5, 0.3, 4 in increasing order.
-5, 0.3, 0.5, 2218/639, 4
Sort 45675237, -1, 1 in descending order.
45675237, 1, -1
Sort -5715.17... | {
"pile_set_name": "DM Mathematics"
} |
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