text stringlengths 270 8.19k | meta dict |
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-29*s**3 + 127083*s - 209
What is the l'th term of -6368377, -12736737, -19105097, -25473457, -31841817, -38210177?
-6368360*l - 17
What is the p'th term of -191, 250, 891, 1732, 2773?
100*p**2 + 141*p - 432
What is the m'th term of -30841813, -61683619, -92525425, -123367231?
-30841806*m - 7
What is the t'th term of... | {
"pile_set_name": "DM Mathematics"
} |
t g(x) = -27*x**2. Let b(h) = 2 + 2 + 1 - 6*h**2 + 9*h**2. Let q(z) = z**2 + 2. Let o(d) = 2*b(d) - 5*q(d). What is g(o(a))?
-27*a**4
Let i = 31 - -24. Let j(b) = -28*b - 35*b + i*b. Let f(y) be the third derivative of y**4/24 - y**2. Determine f(j(g)).
-8*g
Let p(j) = 21*j + 22*j - 65*j + 21*j. Let x(m) be the second ... | {
"pile_set_name": "DM Mathematics"
} |
te ((-185)/280 - 4/(-14))/(97 - 103).
1/16
Calculate 8*(5/40)/(1/(-8)).
-8
Evaluate ((-92)/138)/((-20)/(-3)).
-1/10
Evaluate 1 - -1 - ((-800)/260)/(-2).
6/13
What is the value of (-2)/(-13) + 18 + 2561/(-169)?
3
What is 38/4*(-83)/166 - -4?
-3/4
Evaluate (51/102)/(1/6).
3
Calculate (38/12)/((-465)/(-2790)).
19
2/(-25) ... | {
"pile_set_name": "DM Mathematics"
} |
2/n a multiple of 26?
False
Let n(g) = g**2 - g - 2. Let y(o) = o + 10. Let p be y(-8). Let i be n(p). Suppose 9 = w - i. Does 3 divide w?
True
Suppose 3*w - 4*v = 4, -2*v + 6*v = -4. Suppose 5*h = 4*j + 12, -4*j = -w*h - 3*h + 4. Suppose j*o - 132 = -o. Is o a multiple of 17?
False
Is (9 - (-1265)/(-143)) + 2648/26 a ... | {
"pile_set_name": "DM Mathematics"
} |
j - 4*u. Let p be (-34)/j + 4/(-10). Solve 0*n - p*n + 9 = 0 for n.
3
Suppose 3*s + 6 = -0*o - 3*o, 4*o - 8 = 4*s. Suppose -h + o = -1. Suppose -h - 3 = -z. Solve -z*n - 1 = 15 for n.
-4
Let y = 103 + -103. Solve -5*b + b + 16 = y for b.
4
Let v = 4 - 2. Suppose 0 = h + 1, -f + 2 = -4*h - 2. Solve f + v = r for r.
2
Su... | {
"pile_set_name": "DM Mathematics"
} |
2
What is the common denominator of 59/44 and 131/13468?
148148
What is the common denominator of 13/450 and -49/34866?
871650
What is the smallest common multiple of 33 and 966186?
10628046
Calculate the common denominator of -71/868 and -69/30070.
420980
What is the lowest common multiple of 3210 and 642?
3210
What i... | {
"pile_set_name": "DM Mathematics"
} |
*q**4 - 7*a*c - 44*c*q wrt q.
521*a**2 - 4*a*c*q**3 - 44*c
Find the second derivative of -2*r**4 + 671245*r**2 - 3*r + 407379 wrt r.
-24*r**2 + 1342490
What is the first derivative of -142*f*q**3 + 490*f*q + 53151*q**3 wrt f?
-142*q**3 + 490*q
What is the second derivative of -34874*j**3 + 819*j - 2 wrt j?
-209244*j
Wh... | {
"pile_set_name": "DM Mathematics"
} |
-4/7, 9224?
1/2
Which is the nearest to -4? (a) 4 (b) 0 (c) -2 (d) -24
c
Which is the closest to -1/4? (a) -899 (b) 2 (c) -1/2
c
What is the nearest to 0.2 in -10729/3, 1, 0.5, 0.4?
0.4
What is the nearest to 0.2 in -4, 5, 1020, -1/2?
-1/2
What is the nearest to -2/3 in 2, -8, -30/23?
-30/23
Which is the neares... | {
"pile_set_name": "DM Mathematics"
} |
944796?
4
What is the millions digit of 246400723?
6
What is the hundred thousands digit of 269359242?
3
What is the hundred thousands digit of 55781745?
7
What is the millions digit of 1336595271?
6
What is the units digit of 82893900?
0
What is the ten thousands digit of 93468408?
6
What is the hundreds digit of 1081... | {
"pile_set_name": "DM Mathematics"
} |
ate b*x(a) + 7*m(a).
-a - 3
Let g(b) be the first derivative of -3*b**4/2 - b**3/3 + 5*b**2/2 + 2*b - 9. Let i(s) = 7*s**3 + s**2 - 6*s - 2. Give 6*g(w) + 5*i(w).
-w**3 - w**2 + 2
Let c(g) = -11*g + 2. Let s(o) be the second derivative of -8*o**3/3 + 3*o**2/2 - 65*o. Give -7*c(x) + 5*s(x).
-3*x + 1
Let g = -19 + 11. Le... | {
"pile_set_name": "DM Mathematics"
} |
1/30*i**4 + 0*i**2 - 95*i + 2 + 11/15*i**3. Factor g(n).
-2*n*(n - 11)/5
Let n be (-2961)/658 - ((-815)/230 + -2). Factor -2/23*c**4 - 90/23*c**2 - n*c**3 - 100/23*c + 0.
-2*c*(c + 2)*(c + 5)**2/23
Let w = -364 - -367. Let v(k) = 105*k**3 - 2560*k**2 + 5005*k - 2430. Let t(u) = -8*u**3 + 197*u**2 - 385*u + 187. Let c(d... | {
"pile_set_name": "DM Mathematics"
} |
31*g**8/28 + g**4/12 + 11*g**3/6 + 2*g - 6. What is the third derivative of m(x) wrt x?
7440*x**3
Let u(j) = 154*j**2 - 150*j - 7. Let n(g) = -153*g**2 + 150*g + 10. Let v(s) = -3*n(s) - 4*u(s). Find the second derivative of v(l) wrt l.
-314
Let y(b) be the first derivative of 263*b**4/4 - 529*b - 635. Find the first ... | {
"pile_set_name": "DM Mathematics"
} |
r + y. Round u to five decimal places.
-0.00006
Let o be (12/9 - 1)*51. Suppose 3 = -0*r - 3*r - 2*s, 5*r - 4*s - o = 0. Let l be (40/12)/(r/165). Round l to the nearest 100.
600
Let r = 1747840860.59999838 + -1747840843. Let g = r - 17.6. Round g to seven dps.
-0.0000016
Let c = -1802 + 1810.958. Let j = -9 + c. Round... | {
"pile_set_name": "DM Mathematics"
} |
24 - 43. Let f be l/(-1) + (-1 - 1). Suppose -2*c = k - f, -7*c + 2*c - 15 = 0. What are the prime factors of k?
17
Let p = -1 + 5. Suppose 2*t = p*u + 16, -5*t = -0*u - 2*u - 24. What are the prime factors of (u - (0 + 0))/(-1)?
2
Suppose 2*q - 2*s - 1 - 5 = 0, q - 3*s = 3. Suppose -5*h - 4*x = -57, 0*h + 5*x + q = 2... | {
"pile_set_name": "DM Mathematics"
} |
o - z. Solve y + 0 = h for h.
1
Suppose 5*s - 11 = 3*d - d, -2*s = d - 8. Let b = s + 1. Solve -3*p + b = -2 for p.
2
Let a be (-1)/2*0 - -2. Let x(s) = 3*s + 2. Let f(b) = -13*b - 7. Let h(p) = 2*f(p) + 9*x(p). Let d be h(-2). Solve 8 = -d*c - a for c.
-5
Let v(n) = 5*n**2 + 2*n - 2. Let m be v(1). Solve -m = -0*j + j... | {
"pile_set_name": "DM Mathematics"
} |
sequence pqpq?
21/286
Two letters picked without replacement from {p: 11, k: 1, a: 6, g: 1}. Give prob of sequence ak.
1/57
Two letters picked without replacement from rnrnr. Give prob of sequence nr.
3/10
Calculate prob of sequence dqq when three letters picked without replacement from dqppqdqpxpqdqpaqpu.
5/272
Calcul... | {
"pile_set_name": "DM Mathematics"
} |
). Let q = -1 + 1. Solve q = 4*u - 3*u - t, -j = 3*t for u.
-3
Let r(j) = -7*j - 38. Let f be r(-5). Let l be 2 - (3 + f + 4/2). Solve -5*k - h - 8 + 1 = l, -5*k - 3 = -h for k.
-1
Suppose -9*q = 10*q - 95. Let x be 3/(0 + -1) + q. Solve -w - 10 = 5*g + 2, -2*w = x*g for g.
-3
Suppose -598 = -9*l + 1427. Suppose -175*h... | {
"pile_set_name": "DM Mathematics"
} |
*n + 60 = -20 for n.
5
Solve 49*j - 66 - 240 = 15*j for j.
9
Solve -4803 - 3582 = -218*c - 2063 for c.
29
Solve -2430 = 135*u - 19*u + 127*u for u.
-10
Solve -10778*x - 12 = -10784*x for x.
2
Solve 20*v - 140 - 388 = 68*v for v.
-11
Solve 18*i - 734 = -21*i - 1592 for i.
-22
Solve -110*l + 1050 = -5*l for l.
10
Solve -... | {
"pile_set_name": "DM Mathematics"
} |
= -3*k**3 - 3*k**2. Give q(w).
12
Suppose -3*i + 2*i + 4 = 3*h, 2*i = -4. Suppose -18*d - 378 = -39*d. Suppose 5*a = 5*m + h*a - 34, a = 3*m - d. Let z(j) = j**2 - j + 1. Give z(m).
21
Let n(h) = 379 - 105 - 78 - 90 + h - 71. What is n(-20)?
15
Let b(q) = -5*q + 6. Let m(i) = i**2 - 19*i - 47. Let d be m(25). Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
64
Calculate the common denominator of 34/1949167 and 89/6952.
15593336
What is the least common multiple of 693056 and 96?
2079168
What is the smallest common multiple of 369 and 10?
3690
Calculate the common denominator of 81/49328 and -18/422371.
6757936
What is the smallest common multiple of 33604 and 2981?
369644... | {
"pile_set_name": "DM Mathematics"
} |
r*o = -5*m + v - 34 for m.
-3
Suppose -3*q - 25 = -5*k + 81, -2*k + 2*q + 40 = 0. Solve 0 = l + l + 4, 3*n = 4*l + k for n.
5
Suppose 0 = -p + 4. Let a be (2 - 45/27) + (-16)/(-6). Let z = a - 0. Solve p*r - 8 - 8 = -4*q, -z*q + 8 = -r for q.
3
Suppose -4*i - 8 = -2*x, 3*i + 17*x - 12 = 14*x. Solve i = -2*m - 4*v + 9*v... | {
"pile_set_name": "DM Mathematics"
} |
be o(-13). Let t be ((-1)/3)/(q/(-3)). Let u = 35 - 34. Is u at most t?
False
Let i be 11 - 10/60*66. Is 9/17 not equal to i?
True
Let x be -2 + 1 + 3 + -1. Does x = -2/111?
False
Let n = 0.051 - -18.949. Is n at least as big as -3/5?
True
Let v = 767/1012 - 2/253. Is 3/14 at least v?
False
Suppose -66*z + 57*z = 540. ... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 6*a**2 - 46*a**2 + 17*a**2.
-10*a**2 + 648*a
Collect the terms in -24972 - 77*u**3 + 12493 + 12479 - 4*u + 2*u**2 - 2*u**2.
-77*u**3 - 4*u
Collect the terms in -3850*v**3 - 103*v**2 + 4534*v**3 + 103*v**2.
684*v**3
Collect the terms in -6179 + x - 6543 - 6815 + 26346 - 6809.
x
Collect the terms in -8*x**3 + 11589... | {
"pile_set_name": "DM Mathematics"
} |
Let b be l(-8). Suppose 0 = 4*s - b*s. Suppose -5*q - 31 = 3*g, -1 = 3*g - 0*q - q. Put 2, g, s in ascending order.
g, s, 2
Suppose 3*z = m + 44, 5*m = 11*z - 6*z - 170. Put 3, m, 4 in ascending order.
m, 3, 4
Let v = -11/12 + 5/12. Sort 0.021, -2, v, -5 in ascending order.
-5, -2, v, 0.021
Let f = -582/11 - -9872/187... | {
"pile_set_name": "DM Mathematics"
} |
= -105 - -210. Let j = w - 46. What is the tens digit of j?
5
Let j(g) = g**2 - 9*g + 20. Let i be j(7). Suppose -10*u - i*u + 13632 = 0. What is the tens digit of u?
5
Let i = 13661 + -7594. What is the hundreds digit of i?
0
Suppose 1430 = 48*c - 22*c. What is the hundreds digit of 10*c/4*(-48)/(-20)?
3
Suppose 62*i... | {
"pile_set_name": "DM Mathematics"
} |
5*i - 1832. Determine y(8).
32
Let h(t) = 5*t**3 + 51*t**2 - 930*t - 8864. Give h(-9).
-8
Let n(z) = -z**2 + 3088*z + 18498. Determine n(-6).
-66
Let o(v) = -3*v**2 + 30834*v - 154084. What is o(5)?
11
Let g(b) = -b**2 + 9964*b - 69774. Calculate g(7).
-75
Let h(d) = 4*d**2 + 100*d - 710. What is h(13)?
1266
Let c(d) =... | {
"pile_set_name": "DM Mathematics"
} |
Convert 1b (base 13) to base 16.
18
What is -3 (base 12) in base 15?
-3
22020 (base 3) to base 6
1010
What is 1b (base 16) in base 8?
33
Convert -75 (base 11) to base 4.
-1102
What is 34 (base 6) in base 2?
10110
-69 (base 12) to base 14
-5b
2d (base 14) to base 7
56
What is c (base 14) in base 15?
c
What is 101 (base... | {
"pile_set_name": "DM Mathematics"
} |
2 + 2*l - 2*l + (3*l**2 - 4*l**2 + 0*l**2)*(3 - 2 + 0))*(11*l**2 + 12*l - 12*l).
17*l**4
Expand (0*i + 3*i - 4*i)*(0*i**2 + 2*i**2 + 0*i**2) - 115*i**3 - 136*i**3 + 348*i**3 + i - i - 2*i**3.
93*i**3
Expand 17*m + 15*m + 13*m + (-1 - 1 + 0)*(-2 + 2 - m)*(-5 + 5 - 1).
43*m
Expand (-38*u + 38*u + 49*u**3)*(3*u**2 - 2*u**... | {
"pile_set_name": "DM Mathematics"
} |
se
Does 6 divide 2448?
True
Is 6605 a multiple of 5?
True
Does 16 divide 336?
True
Does 4 divide 2324?
True
Is 5096 a multiple of 8?
True
Does 38 divide 39900?
True
Is 2 a factor of 880?
True
Does 22 divide 8285?
False
Is 8 a factor of 316?
False
Is 11 a factor of 16126?
True
Does 49 divide 1029?
True
Is 10900 a multip... | {
"pile_set_name": "DM Mathematics"
} |
is the units digit of k?
4
Suppose 5*t - 2*z + 7*z - 290 = 0, -4*t + 257 = -z. What is the units digit of t?
3
Suppose 0 = 5*j, 9*j - 4*j = 2*s - 124. What is the units digit of s?
2
Let x be ((-18)/(-15))/((-6)/(-15)). Suppose 3*m - i = x*i - 8, 3*i - 15 = 0. What is the units digit of m?
4
Let p(u) = u**3 + 13*u**2 -... | {
"pile_set_name": "DM Mathematics"
} |
- 21. Let q be h(-11). Let l = -41 - -14. Let x = l + q. What is the remainder when x is divided by 10?
8
Suppose 140 = 14*y - 0*y. Calculate the remainder when 67 is divided by y.
7
Suppose -3*u = -0*u - 15. Let z(n) = -7*n - 9. What is the remainder when z(-4) is divided by u?
4
Suppose -5*u + 150 = 5*y, -2*u = y - 6... | {
"pile_set_name": "DM Mathematics"
} |
?
1
What is the value of 6 - (-3 - (1 + -5))?
5
Evaluate (1 - -1) + 0 + -4 - 0.
-2
Calculate 1 - 0 - (3 + 1 - 7).
4
Calculate 1 + 1 + -11 - (-115 - -114).
-8
Evaluate -4 + -4 + 3 + 0 + 0.
-5
What is the value of -9 - (-11 - -4) - -6?
4
What is -6 + -2 + 4 - (29 - 34)?
1
-2 - (3 + (2 - 2))
-5
What is (0 - (-1 - -5)) + 8... | {
"pile_set_name": "DM Mathematics"
} |
be (-6*12500)/(s/(1408/6)). What is b rounded to the nearest 1000000?
4000000
Let v = 44 + -42. Let n be (3/27)/(v/(-6))*-258. What is n rounded to the nearest 10?
90
Let x = 1.844726 - 2.35441. Let r = 0.51 + x. What is r rounded to four dps?
0.0003
Suppose 37*a - 36*a - 5780000 = 0. Round a to the nearest one million... | {
"pile_set_name": "DM Mathematics"
} |
Let p(a) be the second derivative of 23*a**3 + 5*a**2/2 + a. Let n(r) = r**3 - 12*r**2 + 15*r - 41. Let m be n(11). Is p(m) composite?
False
Let v(u) = 10004*u + 3049. Is v(50) a composite number?
False
Is 2162/(-188)*(-5044 + 2) a prime number?
False
Let u(v) = 34*v**2 + 8*v - 8. Let a be u(1). Suppose a*o = 50*o - 4... | {
"pile_set_name": "DM Mathematics"
} |
**2 - y - 1. Let c(x) = -2*r(x) - s(x). Find the second derivative of c(h) wrt h.
-4
What is the second derivative of 8*u**3 + 3*u**2 - u**2 - 9*u - 2*u**2 wrt u?
48*u
Let l = 1 + 1. Suppose 0*z - 4 = -h - 2*z, -l*h + 1 = -3*z. What is the second derivative of k**2 - 2*k - 2*k**2 + 2*k**h wrt k?
2
Let q(s) be the first... | {
"pile_set_name": "DM Mathematics"
} |
-4 = -g + 1. Let i(f) = 11*f + f**2 - 5 + g*f**2 - 3*f. Is i(5) a prime number?
False
Let c(p) = -46*p**2 + 19*p - 34. Let a(s) = -15*s**2 + 6*s - 11. Let z(r) = -7*a(r) + 2*c(r). Is z(4) prime?
False
Let w(x) = 2*x**3 + 3*x**2 - 4*x - 1. Let n be w(-3). Let k = 35 - n. Is k a composite number?
True
Suppose -2*z = 3*b... | {
"pile_set_name": "DM Mathematics"
} |
0, -32 in decreasing order.
2, 0, -30, -32
Put -2, 4, 0, 8, 3 in descending order.
8, 4, 3, 0, -2
Put -263, -0.7, -1 in decreasing order.
-0.7, -1, -263
Put -3, -4, 3 in descending order.
3, -3, -4
Put -2/7, 128, 1/3, 0.1 in increasing order.
-2/7, 0.1, 1/3, 128
Put -97, -5, 0.7 in decreasing order.
0.7, -5, -97
Sort 2... | {
"pile_set_name": "DM Mathematics"
} |
om {z: 5, e: 2, y: 13}. What is prob of sequence eyy?
13/285
Three letters picked without replacement from {z: 3, t: 1, v: 3, p: 2, m: 3, g: 2}. Give prob of sequence gtp.
1/546
Calculate prob of sequence ilss when four letters picked without replacement from {r: 5, l: 1, i: 4, s: 3, t: 1}.
1/1001
Calculate prob of seq... | {
"pile_set_name": "DM Mathematics"
} |
mmon denominator of 61/5976 and 151/90.
29880
Calculate the common denominator of -115/12672 and -17/28512.
114048
Calculate the common denominator of -31/24 and -63/19664.
58992
Find the common denominator of 143/2736 and -89/292.
199728
What is the smallest common multiple of 26418 and 20757?
290598
Calculate the low... | {
"pile_set_name": "DM Mathematics"
} |
gest value? (a) 0.35 (b) 11595/8 (c) -2/5 (d) -3 (e) 0
e
What is the fifth smallest value in 27.6, 1/7, -4, 19, -1/10?
27.6
Which is the third smallest value? (a) -4/25 (b) -1 (c) -270736
a
Which is the second smallest value? (a) 149 (b) -6.3097 (c) -0.2 (d) 1
c
What is the second biggest value in -5, -1/2,... | {
"pile_set_name": "DM Mathematics"
} |
creasing order.
-5, k, r
Let f = -6 - -11. Put f, -3/8, 33 in descending order.
33, f, -3/8
Let i = 0.85 + 0.15. Let q = -10 - i. Let a = -11.4 - q. Put a, 0.1, 5 in increasing order.
a, 0.1, 5
Let i = -160 - -162. Sort i, 3, -8 in decreasing order.
3, i, -8
Let a be (1 - 0)/((-315)/18)*10. Sort a, 2/11, -1.2 in increa... | {
"pile_set_name": "DM Mathematics"
} |
4, 3*d + 5*t + 17 = 0. Let v(z) be the first derivative of 2/3*z**3 + d + 0*z**2 + 3*z. What is the first derivative of v(i) wrt i?
4*i
Let o be ((-18)/27)/(2/(-6)). What is the second derivative of -13*p**2 + 5*p**2 + 4*p**2 + o*p wrt p?
-8
Let q(l) be the third derivative of 0 - 1/8*l**4 - 5/3*l**3 - 3*l**2 + 0*l. Di... | {
"pile_set_name": "DM Mathematics"
} |
k*f and give t.
-12
Express -6*c**2 + 4*c**2 - 2*c**4 + 3*c**2 + (3*c**2 - c**2 - 5*c**2)*(-c**2 + c**2 + c**2) as q*c**3 + p*c + b + n*c**2 + y*c**4 and give y.
-5
Rearrange 9*b**2 + 43*b**2 + 14*b**2 to w + s*b**2 + i*b and give s.
66
Express -151*r**4 - 2*r + r**2 + 149*r**4 + 0 - 1 + 2 in the form u*r**3 + d*r**4 +... | {
"pile_set_name": "DM Mathematics"
} |
u(g) = 7699961*g - 78. Let i be u(-2). Round i to the nearest one million.
-15000000
Let x = 139.8 - 128. Let v = 5.9 + x. Round v to the nearest integer.
18
Suppose -4*u = -12, 2*f + 34 = -2*f - 2*u. Let z = f - -9. Let r be ((-3500)/z)/((-3)/(-3)). What is r rounded to the nearest one thousand?
4000
Let f(g) = 6239*g... | {
"pile_set_name": "DM Mathematics"
} |
-13029.5
Product of -0.06 and 4.8756.
-0.292536
What is the product of 0.2 and 4.9434?
0.98868
Multiply 128526 and 1.
128526
-1489.377 times -0.1
148.9377
Multiply 1.628 and -1.34.
-2.18152
-30 times -1087
32610
0.051 times -545
-27.795
What is the product of -4 and 2.4582?
-9.8328
What is 747785 times 2?
1495570
Produ... | {
"pile_set_name": "DM Mathematics"
} |
= 253/2 + z. Factor -w + x + 1/2*x**2.
(x - 1)*(x + 3)/2
Factor -25*g + 5*g**3 + 250 - 20*g**3 - 40*g**2 + 10*g**3.
-5*(g - 2)*(g + 5)**2
Let i = -3415 - -3417. Suppose -2/3*m**i - 8*m - 24 = 0. What is m?
-6
Let a = -1595 + 785. Let h be 4 + (a/(-24))/(-9). Factor 1/4*r**5 + 0*r**2 - 1/2*r**3 + 0 + h*r + 0*r**4.
r*(r... | {
"pile_set_name": "DM Mathematics"
} |
+ 1
Let u(j) = -11*j**2 - 2*j + 23. Let l(f) = 4*f**2 + f - 8. Give 8*l(y) + 3*u(y).
-y**2 + 2*y + 5
Let o be 2*2/4 - -5. Let f be 2/((o/(-5))/3). Let m(l) = -5*l - 3227 + 5*l**2 + 3227 + 3*l**3. Let i(p) = 5*p**3 + 8*p**2 - 8*p. Calculate f*i(r) + 8*m(r).
-r**3
Let m(u) = u**2 - 2*u + 1. Let x(z) = 5*z**2 - 8*z + 5. ... | {
"pile_set_name": "DM Mathematics"
} |
hest common divisor of h and 4?
2
Suppose 24 + 54 = 6*b. Calculate the greatest common divisor of b and 104.
13
Suppose h + 0*h + 3*c = 27, -2*c + 2 = 0. Let b = h + -14. What is the greatest common divisor of 25 and b?
5
Let d be (-6)/24 - 442/(-8). Calculate the greatest common divisor of d and 22.
11
Let y be (4/(-3... | {
"pile_set_name": "DM Mathematics"
} |
5?
0
Which is the biggest value? (a) -2 (b) -1185 (c) 0.4 (d) 3 (e) 4/7 (f) 0
d
What is the biggest value in -1.2, -0.1, -7363?
-0.1
Which is the third smallest value? (a) 2/7 (b) -3 (c) 35.3 (d) -1 (e) -1/6 (f) 6
e
What is the fifth smallest value in 1, -44, 0.05, 6/11, 5?
5
Which is the second biggest val... | {
"pile_set_name": "DM Mathematics"
} |
?
-1080*j**3
Let o be (-2 + 36)/(1/1). Differentiate 0*m**2 - 59 - 22*m**3 + o*m**3 + 7*m**2 - 4*m**2 with respect to m.
36*m**2 + 6*m
Let n = 790 - 784. What is the third derivative of -48*r + 41*r**n + 5 - 5 - 39*r**6 + 45*r - 74*r**2 + 132*r**4 wrt r?
240*r**3 + 3168*r
Suppose 2*y - 342 = 3*v - 3*y, 4*v + 442 = 2*y.... | {
"pile_set_name": "DM Mathematics"
} |
((sqrt(637) - 2*(1 + sqrt(637))) + -1)**2.
-128046 - 42*sqrt(13)
Simplify ((3 + sqrt(931) + 5 - (sqrt(931)*-2 + sqrt(931) + 0))*-3)**2.
2016*sqrt(19) + 34092
Simplify -1 + (sqrt(120)/sqrt(5))/sqrt(12)*1 + (2 + sqrt(50))**2*-1.
-55 - 19*sqrt(2)
Simplify (-3 + (2*sqrt(170)*-3)/sqrt(10) + 2 + sqrt(1700) + -1 + sqrt(1700)... | {
"pile_set_name": "DM Mathematics"
} |
?
29
Let q(j) = -6*j**2 - 654*j + 297. What is the remainder when q(-109) is divided by 104?
89
Let l be ((-96)/72)/((-4)/3 + 1). Suppose -l*a + 2 + 14 = 0, v - 138 = a. What is the remainder when v is divided by 29?
26
Let k(a) = a**2 - 4*a + 1. Let t be k(3). Calculate the remainder when t + (-4 - ((-4 - -8) + -53)) ... | {
"pile_set_name": "DM Mathematics"
} |
-143). Suppose n = -k*r + 3*n + 2, 5*r - 40 = -5*n. Calculate the highest common divisor of 18 and r.
3
Suppose -13*q + 12*q - 106 = 0. Let c = -106 - q. Suppose -n + 4*x + 84 = c, 373 = 4*n + 2*x + 55. Calculate the greatest common divisor of n and 32.
16
Let l(w) = w**2 + 3*w + 2. Let q be l(5). Suppose -179*u + 213*... | {
"pile_set_name": "DM Mathematics"
} |
7963 composite?
False
Is 13930177 composite?
False
Is 897517 composite?
False
Is 237626479 prime?
True
Is 82968217 composite?
True
Is 25213 composite?
True
Is 352807337 a prime number?
False
Is 17929906 composite?
True
Is 1634803 a prime number?
True
Is 19118837 prime?
True
Is 934429 composite?
False
Is 485172461 prime... | {
"pile_set_name": "DM Mathematics"
} |
r of 1/10, to the nearest integer?
7
What is the sixth root of 95980068 to the nearest integer?
21
What is 252793829 to the power of 1/9, to the nearest integer?
9
What is the third root of 460593740 to the nearest integer?
772
What is 97283923 to the power of 1/3, to the nearest integer?
460
What is the square root of... | {
"pile_set_name": "DM Mathematics"
} |
ob of sequence ro.
1/14
Two letters picked without replacement from qomoqmqouommmqqoo. Give prob of sequence mo.
15/136
Calculate prob of sequence ottv when four letters picked without replacement from vfttezzo.
1/840
Four letters picked without replacement from hhyqyyywyqhnhhy. What is prob of sequence qyhh?
2/273
Cal... | {
"pile_set_name": "DM Mathematics"
} |
*3*i**2 - h**3*i + 41*h**3 + 309*h**2*i**2 - 5*h**2*i - 20*h*i**2 + h*i wrt h.
422046*i**2 - 6*i + 246
What is the second derivative of -33353992*j**2 + 31895351*j wrt j?
-66707984
Find the second derivative of -89*d**5 + 6464*d**3 + 2*d - 7727994.
-1780*d**3 + 38784*d
What is the third derivative of 963*b**5 - 11601*b... | {
"pile_set_name": "DM Mathematics"
} |
9927 to the power of 1/10, to the nearest integer?
6
What is the third root of 816113731 to the nearest integer?
935
What is the square root of 43070763 to the nearest integer?
6563
What is 205066437 to the power of 1/2, to the nearest integer?
14320
What is 169145921 to the power of 1/7, to the nearest integer?
15
Wha... | {
"pile_set_name": "DM Mathematics"
} |
s(x) = 31756*x**2 + 2. Let j(f) = -f - 395. Calculate j(s(h)).
-31756*h**2 - 397
Let f(x) = -8*x**2 + 9. Let w(l) = 45*l - 70. Let k(s) = -5*s + 10. Let t(n) = 28*k(n) + 4*w(n). Calculate t(f(u)).
-320*u**2 + 360
Let y(t) = -t**2. Let k(b) = -249*b + 146*b + 114*b + 190*b. Calculate y(k(p)).
-40401*p**2
Suppose 45 = h... | {
"pile_set_name": "DM Mathematics"
} |
-10. Let z(i) be the first derivative of 1/7*i**2 + 2/7*i**3 + 0*i + 3/14*i**4 + 2 + 2/35*i**v. Find k such that z(k) = 0.
-1, 0
Let v(j) be the first derivative of -3*j**5/50 - j**4/6 - j**3/15 + j**2/5 - 2*j + 3. Let d(x) be the first derivative of v(x). Suppose d(m) = 0. What is m?
-1, 1/3
Let s(k) be the first der... | {
"pile_set_name": "DM Mathematics"
} |
(b) -5 (c) 4 (d) 0
a
Which is the biggest value? (a) 4/5 (b) 0.2 (c) -1 (d) -0.04
a
What is the third smallest value in 4/7, -1/7, -5?
4/7
What is the second biggest value in 1/4, -5, 6?
1/4
Which is the smallest value? (a) 5 (b) -2 (c) -12/11 (d) -1/3
b
What is the second biggest value in 25, -1, 0.4?
0.4
... | {
"pile_set_name": "DM Mathematics"
} |
3*l + 14, 0*p - 4 = 2*p - 2*l. Let a be x(p). Is a/(-5) - (-162)/15 a multiple of 7?
False
Suppose -l + 208 = -w, -3*l + 592 = 2*w + 3*w. Does 34 divide l?
True
Let d = 28 - -9. Is d a multiple of 3?
False
Let b be 183/5 - (-10)/25. Let g = b + -22. Does 7 divide g?
False
Let s(f) = 37*f**3 + 2*f - 1. Let v = 3 - 1. S... | {
"pile_set_name": "DM Mathematics"
} |
333662302 with respect to k.
388901099
Differentiate -1951900*b**4 - 13762687 with respect to b.
-7807600*b**3
What is the second derivative of 11274771*u**5 + 312*u + 7823?
225495420*u**3
Find the second derivative of 261*p**2*q**5 - 1226*p**2*q**3 - p**2*q + 13318469*p wrt q.
5220*p**2*q**3 - 7356*p**2*q
Differentiat... | {
"pile_set_name": "DM Mathematics"
} |
b of picking 1 m and 2 h?
5/182
Three letters picked without replacement from {u: 2, y: 1, z: 4, p: 2, x: 3}. What is prob of picking 1 u, 1 p, and 1 y?
1/55
Two letters picked without replacement from {a: 3, z: 3, v: 2, x: 7}. Give prob of picking 1 z and 1 x.
1/5
Calculate prob of picking 3 g when three letters picke... | {
"pile_set_name": "DM Mathematics"
} |
r when 1274 is divided by 316.
10
Calculate the remainder when 231 is divided by 57.
3
What is the remainder when 115 is divided by 60?
55
Calculate the remainder when 24023 is divided by 231.
230
What is the remainder when 1136 is divided by 20?
16
Calculate the remainder when 2851 is divided by 238.
233
What is the r... | {
"pile_set_name": "DM Mathematics"
} |
ate the greatest common divisor of f and h.
18
Let r(f) = 127 + 102 + 12*f + 0*f**3 - f**3 - 260 - 36*f + 15*f**2. Let o be r(11). What is the greatest common divisor of 81 and o?
27
Let t(x) = -3*x**3 + 173*x**2 + 57*x + 70. Let v be t(58). Calculate the greatest common factor of v and 106.
2
Let v = -43 - -448. Let g... | {
"pile_set_name": "DM Mathematics"
} |
Let u = 14 + -13.79. Let n = 0.11 - u. Let d(t) = -t**2 - 7*t + 6. Let f be d(-8). What is the third smallest value in f, -1, n?
n
Let g = -5 - -1. Let t = 1.56 + 0.44. Which is the second smallest value? (a) t (b) 5 (c) g
a
Let m = 20.9 - -3.1. Which is the biggest value? (a) m (b) -0.1 (c) 2
a
Let h = -32.4 + 3... | {
"pile_set_name": "DM Mathematics"
} |
b is positive.
b**39
Simplify ((a*a**7/a)/((a/(a/(a*a/(a*a*a*a/a**8*a)*a)))/a))/(a**(1/2))**(2/63) assuming a is positive.
a**(125/63)
Simplify (m**3/m*m*m**(-3/5))**(-2/33) assuming m is positive.
m**(-8/55)
Simplify i/(i**3*i)*i**(-4)*i**(1/7)*i**(-6) assuming i is positive.
i**(-90/7)
Simplify (i**(-1))**17*(i/i**0... | {
"pile_set_name": "DM Mathematics"
} |
of d(-8)?
29
Suppose 8*k - 6*k = -5*d + 625, 5*d + 5*k - 640 = 0. What are the prime factors of d?
3, 41
Let t be (-74)/(-4) - -2*(-1)/(-4). Suppose -4*d = -u + t, d = -3*u - 10 + 41. What are the prime factors of u?
11
Suppose 6*j + 25 = 1. What are the prime factors of 1 + 49/(-28) + (-307)/j?
2, 19
Let k(f) = 7*f**... | {
"pile_set_name": "DM Mathematics"
} |
4.8168
What is 0.0222258 nanograms in milligrams?
0.0000000222258
What is 37/5 of a millennium in centuries?
74
Convert 0.9998488 millennia to decades.
99.98488
What is sixty-seven fifths of a litre in millilitres?
13400
How many centimeters are there in 78060.44km?
7806044000
How many seconds are there in 7/2 of a min... | {
"pile_set_name": "DM Mathematics"
} |
07 - 116. Give s(w).
-16
Let u(w) = -21*w**3 + 3*w**2 + 9. Let b(q) = 42*q**3 - 7*q**2 - 20. Let d(z) = 4*b(z) + 9*u(z). What is d(1)?
-21
Let m(b) = 7*b**2 + 4*b - 1. Let h(q) = -43*q**2 - 36*q - 72. Let u(v) = h(v) + 6*m(v). Give u(-5).
-43
Suppose -61*g - 1257 = -255*g - 93. Let h(u) = -u**2 - 2*u + 3. Let w be h(-3... | {
"pile_set_name": "DM Mathematics"
} |
47. Let s(z) = -10*z - 14. Let r(u) = i*k(u) - 5*s(u). What is the derivative of r(m) wrt m?
14
Let n(r) = r**2 - 18*r + 18*r + r**3 + 1. Let s(v) = 15*v**3 - v**2 - 14*v - 1. Let y(f) = n(f) + s(f). Find the second derivative of y(t) wrt t.
96*t
Let k(j) be the third derivative of -11*j**7/2520 + j**5/60 - 9*j**4/8 - ... | {
"pile_set_name": "DM Mathematics"
} |
12, 890, 1068?
178*o
What is the m'th term of 17, 92, 225, 422, 689, 1032, 1457?
m**3 + 23*m**2 - m - 6
What is the r'th term of -133, -190, -247?
-57*r - 76
What is the p'th term of -76, -111, -146?
-35*p - 41
What is the z'th term of -370, -399, -418, -421, -402, -355, -274?
z**3 - z**2 - 33*z - 337
What is the h'th ... | {
"pile_set_name": "DM Mathematics"
} |
1764*v - 90. Let a(i) be the third derivative of 0*i - 4/9*i**4 + 7/90*i**5 - 1/180*i**6 + 17*i**2 + 4/3*i**v + 0. Suppose a(q) = 0. What is q?
2, 3
Let n(x) be the second derivative of 28*x**2 - 2 + 1/3*x**4 + 6*x**3 + 15*x. What is a in n(a) = 0?
-7, -2
Suppose -4*o + 27 = -4*l + 19, 2*l = -3*o + 6. Factor -156*z + ... | {
"pile_set_name": "DM Mathematics"
} |
11*f - f = 140. Is (-1 - (-92453)/2)*f/21 composite?
False
Let o(n) = 86*n - 356. Is o(57) a composite number?
True
Suppose 87*k = -180*k - 122*k + 7045957. Is k a composite number?
True
Suppose 2*z - 273 = 6*z + 5*b, 2*z + 3*b + 135 = 0. Let w = z - -78. Is (6/w)/((2/(-4666))/(-1)) composite?
False
Let c = -2785 - -53... | {
"pile_set_name": "DM Mathematics"
} |
2)**2.
-335*sqrt(2)/3 + 165
Simplify ((sqrt(63)/sqrt(3)*-3 - sqrt(21)*-2*-4)*-3)/(sqrt(112) + 3*sqrt(112)*-1 + sqrt(112) + (-2*(sqrt(112) - -2*sqrt(112)) - sqrt(112))).
-33*sqrt(3)/32
Simplify (-5*(-4*sqrt(104) + sqrt(104)) - (sqrt(104) + sqrt(104)*-3*-6))/(2*sqrt(648)*6 + sqrt(648)*-2*3).
-2*sqrt(13)/27
Simplify 1 + ... | {
"pile_set_name": "DM Mathematics"
} |
= 2/11?
False
Let l = -3 - -1. Let r = 132.6 - 119. Let x = 14 - r. Is x at most as big as l?
False
Let c = -3/5480 + 14239/5989640. Which is greater: -1/6 or c?
c
Let d = 0.2746 - -73.7254. Does -0.07 = d?
False
Let l be (-4236)/(-90)*-1 + (-4)/(-10). Let j be 24/(1/(-2) + 0). Let r = l - j. Is r bigger than 0?
True
... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(30)*4 + sqrt(30))/sqrt(10))**2.
136*sqrt(3) + 883
Simplify (sqrt(75) + (sqrt(75) - 2*sqrt(75)) + 1)**2*-2.
-2
Simplify sqrt(33)/((sqrt(54)/sqrt(3))/sqrt(6)).
sqrt(11)
Simplify ((-3*sqrt(49)*2)/sqrt(7) + 3)**2.
-36*sqrt(7) + 261
Simplify ((1*sqrt(108) + 3 - sqrt(108)) + 0 + -4)**2.
1
Simplify -3 + sqrt(2) + (sqrt(3... | {
"pile_set_name": "DM Mathematics"
} |
(l) - 2*z(l). Determine k(m(c)).
2*c**4
Let f(l) be the first derivative of 3*l**2 - 23. Let y(s) = -16*s. Give f(y(v)).
-96*v
Let n(j) = j. Let h(y) be the second derivative of -5*y**3/6 - 3*y**2/2 - 26*y. Determine h(n(m)).
-5*m - 3
Let p(c) = -11*c. Let r(f) = -29*f**2. Calculate r(p(n)).
-3509*n**2
Let r = 23 + -18... | {
"pile_set_name": "DM Mathematics"
} |
. What are the prime factors of y?
2, 3
Suppose -4*f = 3*z - 56, 0 = 3*f - z - 4*z - 71. List the prime factors of f.
17
Let v = 12 - 9. List the prime factors of v.
3
Suppose 1135 = 9*j + 28. What are the prime factors of j?
3, 41
What are the prime factors of ((-21)/6 + 3)/((-4)/384)?
2, 3
Let v(r) = -r**3 - 4*r**2 +... | {
"pile_set_name": "DM Mathematics"
} |
-761 by 129.
-761/129
Calculate 23369 divided by -1.
-23369
What is 6613 divided by -6?
-6613/6
What is -70775 divided by 3725?
-19
What is -1 divided by -109832?
1/109832
Divide -409860 by -40986.
10
What is -63796 divided by -1?
63796
What is -121140 divided by 24228?
-5
What is 11988 divided by 5994?
2
26 divided by... | {
"pile_set_name": "DM Mathematics"
} |
ue
Let i(b) = 628*b - 632. Is 28 a factor of i(6)?
True
Suppose 7*j = -2*j + 4*j + 10. Let s(h) = 20*h**2 - 4*h. Let o be s(-6). Suppose -o = j*v - 8*v. Is 13 a factor of v?
False
Suppose 2*l - 2550 = -3*l. Suppose -2523 - 2237 = -17*w. Let n = l - w. Is n a multiple of 10?
True
Let h = 41 - 41. Suppose 4*y = -h*y. Sup... | {
"pile_set_name": "DM Mathematics"
} |
246205 (base 8) to base 6.
1454033
What is -120330130213 (base 4) in base 15?
-892767
Convert -110001000001110000101 (base 2) to base 12.
-655859
Convert ad8b5 (base 15) to base 8.
2066237
20aa24 (base 11) to base 8
1221410
60604 (base 12) to base 7
1031155
What is -1c74b8 (base 14) in base 3?
-1220202202122
Convert 12... | {
"pile_set_name": "DM Mathematics"
} |
- u for o.
1
Let o = -7953 - -7967. Solve 2*h = 3*z + 9 - o, -3*h = 12 for z.
-1
Let a = -13 + 17. Suppose 0 = 2*m + 3*w + 7, 6*m - a*w = 2*m + 36. Solve -2*q + 3*j - 10 = 0, m*q - j = q - 8 for q.
-2
Suppose 5*c = 3*g + 14, 2*g + c - 10 = -2. Let d(p) = p**2 - 10*p + 5. Let u be 2/(-2*1/(-11)). Let y be d(u). Solve y... | {
"pile_set_name": "DM Mathematics"
} |
est to 4/5? (a) 5 (b) k (c) -4
b
Let z = -0.47 - 1.53. What is the nearest to z in -2, -4/3, -4?
-2
Let q = 6 + -3. Let h = q + -2. What is the closest to h in 4, 2, -0.2?
2
Let w = 1 - 3. Which is the nearest to 1? (a) w (b) -1/2 (c) -4
b
Suppose -38*p + 35*p = -15. Suppose -r = 3*r - 4. Let a be (-8)/6 - -1*r. ... | {
"pile_set_name": "DM Mathematics"
} |
99 a multiple of 29?
True
Is 1530285 a multiple of 3?
True
Is 5 a factor of 1222844?
False
Is 123596 a multiple of 42?
False
Is 16 a factor of 154138?
False
Is 39 a factor of 662415?
True
Does 1069 divide 6734700?
True
Is 10 a factor of 620328?
False
Is 178 a factor of 662160?
True
Is 12 a factor of 561336?
True
Is 106... | {
"pile_set_name": "DM Mathematics"
} |
f sequence wuz.
1/168
Four letters picked without replacement from qrrmm. Give prob of sequence mrrq.
1/30
Calculate prob of sequence thfh when four letters picked without replacement from {t: 4, f: 9, h: 3}.
9/1820
Two letters picked without replacement from wwiuwwuueuw. What is prob of sequence ww?
2/11
What is prob ... | {
"pile_set_name": "DM Mathematics"
} |
x(m) = m**3 + 9*m**2 + m - 2. Let f be x(-9). Let v = f - b. Calculate the remainder when 30 is divided by v.
2
Suppose -14*a - 12 = -68. Let r(m) = 4*m**2 - 5*m + 3. Calculate the remainder when r(a) is divided by 25.
22
Let g = 3 - -333. Suppose -6*n + g + 144 = 0. Calculate the remainder when n is divided by 25.
5
L... | {
"pile_set_name": "DM Mathematics"
} |
rt(9)*5))**2.
10*sqrt(3) + 28
Simplify (2*sqrt(160)/sqrt(10)*4)/((6*((sqrt(88) - -4*sqrt(88)) + sqrt(88)))/sqrt(11)).
2*sqrt(2)/9
Simplify (5 + sqrt(1008) + -5)**2*5 - -2*-3*sqrt(77)/sqrt(1100).
-3*sqrt(7)/5 + 5040
Simplify (sqrt(304)*-4)**2 + -2 - (-5 + 0 + sqrt(19) + sqrt(171) + 0 + sqrt(171))**2 - ((-1*(sqrt(209)*-1... | {
"pile_set_name": "DM Mathematics"
} |
litres to millilitres.
975850400
What is 3/40 of a kilogram in milligrams?
75000
Convert 1276.884 litres to millilitres.
1276884
What is one tenth of a tonne in kilograms?
100
What is 9/10 of a day in seconds?
77760
What is 21/2 of a hour in seconds?
37800
Convert 0.8104127nm to millimeters.
0.0000008104127
What is 2/... | {
"pile_set_name": "DM Mathematics"
} |
in base 13?
0
What is -1 (base 8) in base 14?
-1
Convert -a (base 13) to base 12.
-a
Convert -3 (base 14) to base 8.
-3
Convert 1145 (base 6) to base 3.
101102
204 (base 5) to base 6
130
6 (base 9) to base 4
12
What is 1 (base 6) in base 12?
1
What is 24 (base 16) in base 3?
1100
Convert -102 (base 3) to base 7.
-14
C... | {
"pile_set_name": "DM Mathematics"
} |
tive of s(q) wrt q?
-56*q**3
What is the first derivative of -8 - 6 - 2 - 21*o**2 wrt o?
-42*o
Suppose 2*r - 2 = -a, -4*a + r + 0*r = -26. Let q = a - 4. What is the third derivative of -3*f**4 - 2*f**q + f**4 + 3*f**4 wrt f?
24*f
Let w(o) be the second derivative of -o**7/280 - o**5/40 - o**3/3 - 2*o. Let n(q) be the ... | {
"pile_set_name": "DM Mathematics"
} |
40496. Let s = -0.5 + d. What is s rounded to four dps?
0.001
Suppose 18 + 12 = -5*w + 5*f, -4*w + 5*f = 25. Let h be 1340002 + w + 6/2. What is h rounded to the nearest 100000?
1300000
Suppose 6*d = 17 + 1. Let w = -1237 - d. Round w to the nearest 100.
-1200
Suppose -19 = 2*o + 5*n, 2*n = -o - 2*n - 17. Let k be (34/... | {
"pile_set_name": "DM Mathematics"
} |
1
Calculate -9*(81/(-9))/(-9).
-9
Calculate (-1*(-1)/5)/((-18)/(-20)).
2/9
-2*((-60)/(-5))/48
-1/2
What is (1/(-5))/((-187)/(-110))?
-2/17
21/(-3)*12/(-21)
4
((-55)/165)/(1/(-6))
2
Evaluate 90/36*(-1)/((-5)/(-8)).
-4
(44/176)/((-1)/24)
-6
(-5)/(-3)*(-54)/(-60)
3/2
-1*((-12)/(-9))/(8/18)
-3
What is the value of (31/((-... | {
"pile_set_name": "DM Mathematics"
} |
07/180)
Simplify (j**(10/9))**(1/23)*(j/(j/((j/j**22)/j)))**(3/47) assuming j is positive.
j**(-13192/9729)
Simplify (g**15/(g**(-1)/g))/(g/(g/g**(-2))*g**(-9)) assuming g is positive.
g**28
Simplify (((w/(((w/((w**1/w)/w))/w)/w))**(4/15))**12)**(-1/27) assuming w is positive.
w**(-16/135)
Simplify (v**9*v*v*v*v**(-2/7... | {
"pile_set_name": "DM Mathematics"
} |
that f(v) = 0.
-3, 0
Let g(f) be the first derivative of 3/10*f**2 - 1/10*f**4 - 1/5*f - 2/15*f**3 + 10 + 3/25*f**5 - 1/30*f**6. Factor g(z).
-(z - 1)**4*(z + 1)/5
Let q(j) be the second derivative of -5*j**7/42 - 4*j**6/3 - 21*j**5/4 - 15*j**4/2 + 45*j. Factor q(i).
-5*i**2*(i + 2)*(i + 3)**2
Factor -9 - 3*c**5 + 75*c... | {
"pile_set_name": "DM Mathematics"
} |
22880.
2, 3, 5, 19001
List the prime factors of 31862559.
3, 10620853
What are the prime factors of 85264552?
2, 19, 97, 5783
What are the prime factors of 1933811245?
5, 73, 1193, 4441
What are the prime factors of 909511614?
2, 3, 11, 1069, 4297
List the prime factors of 228113332.
2, 57028333
List the prime factors ... | {
"pile_set_name": "DM Mathematics"
} |
by 22.
18
Suppose l = 4*l + 201. Let o = -5 - l. Calculate the remainder when o is divided by 17.
11
Let r(t) = -t**2 + 2*t + 4. Let m be r(3). Let c(a) = a**3 - 6*a**2 + 9*a - 10. Let j be c(5). What is the remainder when 15*6*m/j is divided by 3?
0
Let v = -826 + 937. What is the remainder when 1774 is divided by v?
... | {
"pile_set_name": "DM Mathematics"
} |
is greater: -44 or 125472?
125472
Is 69/83 at most -26721?
False
Which is greater: 45/4 or -770099?
45/4
Which is smaller: 10931685/148 or 73864?
10931685/148
Which is greater: -165249/1133 or -145?
-145
Is 27251851 equal to 27251851?
True
Which is smaller: -90991 or 1.7?
-90991
Which is smaller: -105233 or -1.1?
-105... | {
"pile_set_name": "DM Mathematics"
} |
of picking 4 q.
30/91
Two letters picked without replacement from {s: 2, w: 2, d: 1, t: 1}. Give prob of picking 2 w.
1/15
Calculate prob of picking 3 r and 1 i when four letters picked without replacement from rrrrrrrrrrrrrrirrri.
20/57
Calculate prob of picking 1 q and 2 u when three letters picked without replaceme... | {
"pile_set_name": "DM Mathematics"
} |
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