text stringlengths 270 8.19k | meta dict |
|---|---|
127. Let u(t) = -7 + 1 + 6 - v*t. Let f(w) = -w. Calculate u(f(b)).
18*b
Let z(x) be the first derivative of 241*x**2/2 - 1715. Let m(h) = -2*h**2. Calculate z(m(c)).
-482*c**2
Let i(j) = -3081881*j**2. Let v(l) = 44*l. Give i(v(w)).
-5966521616*w**2
Let z(m) = 6*m. Let p(h) = 37299309*h**2. Calculate p(z(w)).
1342775... | {
"pile_set_name": "DM Mathematics"
} |
Let h(n) = -n + 1. Suppose -4*m - 22 = -s, -5*m = 2*s - 7*s + 35. Let q be (0 - (2 - s))/3. Let i be h(q). Solve u = b + i, 13 = 2*b + 3*u - 0*u for b.
2
Let w(x) = -28*x + 8. Let k be w(0). Solve k = -5*p - 3*y, 6*y + 2 = 2*p + 2*y for p.
-1
Let d(i) = i**2 - 26*i + 36. Let t be d(25). Solve 0 = -j - 5*p + 4, -4*j + 5... | {
"pile_set_name": "DM Mathematics"
} |
). Solve -33 + f = 9*s for s.
8
Suppose -y + 5 = 3*w, -5*y + 4*w + w = -105. Suppose -3*u = q - 6*q + 11, 3*u + 2*q = y. Let b be u/(-2)*(-160)/48. Solve 0 = z - 0 + b for z.
-5
Suppose 4*q - 214 + 10 = 0. Let g = 55 - q. Solve g*v = 3*v for v.
0
Suppose -8*f + 4*f + 184 = 0. Let d = f + -45. Suppose -2*l = -5 + d. Sol... | {
"pile_set_name": "DM Mathematics"
} |
What is the second smallest value in 4.385, -9, -3/10?
-3/10
Which is the second smallest value? (a) -11543 (b) -8 (c) 123/4
b
Which is the fifth smallest value? (a) 10/7 (b) -2/7 (c) 15 (d) 0.2 (e) -31634
c
Which is the second biggest value? (a) -1 (b) -0.17 (c) -0.049 (d) -2508 (e) -4
b
Which is the fou... | {
"pile_set_name": "DM Mathematics"
} |
value in t, 3, o?
3
Let b = -31/3 + 11. Let z = -0.09 - -2.89. Let s = -3 + z. What is the smallest value in s, b, -2/11?
s
Let g = -59 + 64. Let y = 1.1 + -0.1. Which is the third smallest value? (a) g (b) y (c) -2
a
Let i = -18 - -17.7. Which is the third biggest value? (a) -0.1 (b) 0.4 (c) i
c
Let a = 1.14 - -... | {
"pile_set_name": "DM Mathematics"
} |
vative of -2*f**3*q - f**3 + 4479659*f**2 + 4328452*q wrt q.
-2*f**3 + 4328452
Find the second derivative of -42778100*y**2 + 2*y - 707932 wrt y.
-85556200
Find the second derivative of 9883744*o**3 + 803*o - 5399 wrt o.
59302464*o
Find the third derivative of -24*g**5 + 14*g**4 + 11698*g**3 + 145*g**2 + 4325*g + 7 wrt... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*p + 14. Let h = j - k. Solve -4*i + 9 = -h for i.
5
Let a = -91 - -98. Solve 2*d = a*d - 20 for d.
4
Let b(x) = -3*x + 69. Let z be b(23). Solve 4*g = -z*g + 16 for g.
4
Let u be 72/42 - 2*3/(-21). Solve -u*i = -5*i - 9 for i.
-3
Suppose 0 = n - 5*f - 11 + 1, -10 = 5*n + 5*f. Suppose -48 = -4*h - 4*p, -6*h + 5*h +... | {
"pile_set_name": "DM Mathematics"
} |
3*q = 949*p + 951*p - 15 for p.
3
Solve 3*o = 6*r + 42, -5*o - 3*r + 110 = 92 for o.
6
Solve 3*n + 42 - 58 = -5*w, 11*w = 2*n + 61 for w.
5
Solve 3*m - 5*x + 32 = 7*m, 0 = 5*x - 20 for m.
3
Solve -5*w - 26*a - 37 = -30*a, -3*w - 2*a - 9 = 0 for w.
-5
Solve -23*g + 20*g + 31 = 2*m, 4*g + 5*m = 60 for g.
5
Solve 4*l + 2... | {
"pile_set_name": "DM Mathematics"
} |
-4038, -3721, -3404, -3087, -2770, -2453?
-2136
What is the next term in -62428, -62414, -62378, -62308, -62192, -62018, -61774?
-61448
What is the next term in -245, 234, 1539, 4084, 8283, 14550?
23299
What comes next: 1878999, 1878998, 1878997, 1878996?
1878995
What is next in -35668, -71328, -107002, -142696, -1784... | {
"pile_set_name": "DM Mathematics"
} |
-10 + 0
-1
What is (-7 + 12 - 34) + 19 + -9?
-19
What is 3 + -1 - (-4 - ((32 - 14) + 3))?
27
What is the value of 33 - (33 - (46 + -17))?
29
What is (0 + -4 - 11 - 8) + (-2 - 0)?
-25
7 + -5 + 10 - (6 - 2) - 6
2
Evaluate 24 + (8 - 15) + (-6 - -1 - -2).
14
(10 - (8 - 6)) + 5 + (2 - -7)
22
What is the value of -20 + 45 - ... | {
"pile_set_name": "DM Mathematics"
} |
hat is the closest to 48 in -1/4, -15/13, 0.5, 0.3, 0, 2?
2
What is the closest to 90 in -0.06, -3, 41, 82?
82
What is the closest to -0.1 in -505/27, -5, -162, 0.4?
0.4
Which is the closest to -0.1? (a) 2725 (b) -1 (c) 24 (d) -4/5
d
What is the closest to 28 in -2/17, -8, 0, -16, -2/13?
0
What is the nearest to 24... | {
"pile_set_name": "DM Mathematics"
} |
(-4)/((-216)/9) and 85/284?
284
Let u(x) = x**3 - 6*x**2 + 4*x - 3. Let l be u(5). What is the common denominator of (l/5)/((-108)/(-20)) and 17/3?
27
Let z be (-3)/1 + 6 - -14. Suppose 2*y - 4*r + z = r, y = r - 4. Let d(s) = -31*s**3. Calculate the common denominator of d(y) and -11/3.
3
Let b = -18047/84 - -643/3. W... | {
"pile_set_name": "DM Mathematics"
} |
ding order.
-5, 2, 3, 28, 385
Put -4, 2, 5, -194, -1, 30, -10 in increasing order.
-194, -10, -4, -1, 2, 5, 30
Sort -2, -5, 36, 5, -1, 347 in descending order.
347, 36, 5, -1, -2, -5
Put -1, -8501, -1357 in increasing order.
-8501, -1357, -1
Sort 0, 8, 67, 4, 2, -4, -95 in increasing order.
-95, -4, 0, 2, 4, 8, 67
Sort... | {
"pile_set_name": "DM Mathematics"
} |
ided by -10255?
3
What is -5 divided by -1664?
5/1664
What is 247 divided by -4432?
-247/4432
-1409177 divided by -201311
7
What is -81335 divided by -5?
16267
What is -654705 divided by 1?
-654705
Calculate 20254 divided by -247.
-82
Calculate 327932 divided by 1.
327932
0 divided by 26005
0
45 divided by 393
15/131
C... | {
"pile_set_name": "DM Mathematics"
} |
t x = -197 + 200. Solve -x*p + b = 11, 2*p - 3*p + b = 1 for p.
-5
Let z(k) = k**2 - 7*k - 34. Let o be z(13). Suppose -o = 22*u - 26*u. Let p(j) = -j - 2. Let n be p(-4). Solve -8 = n*t, 0 = 5*d - 4*t - 20 - u for d.
3
Let x(k) = k**3 - 7*k**2 + 4*k + 8. Let n be x(6). Let o be (0 - -3)/((-6)/n). Solve -4*q - 6 = 2*y,... | {
"pile_set_name": "DM Mathematics"
} |
rder.
3/4, -0.05, c, -0.3
Suppose 10 = 5*p + 70. Let m be (2 - 0) + 21/p. Put 0.1, -1/3, m, 5 in decreasing order.
5, m, 0.1, -1/3
Let o = -0.59 + -0.11. Suppose -2*l = 1 - 7. Let u be ((-245)/60)/(-7) - 1/l. Put -0.5, u, o in increasing order.
o, -0.5, u
Suppose 2*v - 51 = 67. Let w = v - 63. Put w, 7, 0 in increasing... | {
"pile_set_name": "DM Mathematics"
} |
Suppose t = 3 - 4. Is 11 a factor of t/(-5) - (-438)/10?
True
Let s(m) = 3*m + 5. Let i be s(7). Suppose 4*n + 2*r + 22 + 12 = 0, i = -2*n - 4*r. Let l = n - -23. Is l a multiple of 8?
True
Does 8 divide 54 - (1/(-1))/(-1)?
False
Let q be 4/(-6)*(0 - -12). Let c(m) = -m**2 - 8*m - 8. Let l be c(q). Let t(h) = -h + 3. I... | {
"pile_set_name": "DM Mathematics"
} |
5, -16/7, -1, -5?
-1
What is the closest to 3 in 3, -1, 2/263, -4?
3
Which is the closest to 0? (a) 4 (b) -0.14 (c) -0.1
c
Which is the nearest to 1? (a) 0.5 (b) 2/7 (c) 20/469 (d) 3
a
Which is the closest to 0.1? (a) -2/9 (b) -2 (c) -41 (d) 1/3
d
Which is the nearest to 42/5? (a) -5 (b) -3 (c) -0.2 (d) ... | {
"pile_set_name": "DM Mathematics"
} |
*t + 2*c, -4347 = -6*t + t + c. Does 58 divide t?
True
Suppose -5*c + 0*s - 1 = -s, 3*c + 5*s = 5. Suppose 71*q - 74*q + 735 = c. Does 15 divide q?
False
Let s = 1098 - 737. Suppose s = 4*g - 55. Is 13 a factor of g?
True
Let p(l) = l**2 + 4*l - 7. Let f(s) = -s**2 + 10*s - 6. Let a be f(10). Let g be p(a). Suppose 23 ... | {
"pile_set_name": "DM Mathematics"
} |
s = -11*m + 9*m - 38. Solve 0 = 9*w - s + 3 for w.
2
Let j be 7/2*(-300)/(-21). Suppose -l = 0, -2*i - 3*i + j = 4*l. Suppose 4*k - 3*m - 43 = 0, -2*m = -k - m + i. Solve -5*f - k - 12 = 0 for f.
-5
Let a be (2/(-6))/((-17)/102). Let f be (5/3)/(20/72). Let q be (3/2)/((-6)/(-8)). Solve q = -a*x + f for x.
2
Suppose -3... | {
"pile_set_name": "DM Mathematics"
} |
1273*d - 1273*d + d**2 in the form n*d + v*d**2 + t and give n.
0
Express (0 - 2 + 1)*(0*g + g + g)*(1 - 3 + 4) - g + 6*g - 2*g in the form u*g + x and give u.
-1
Rearrange (2*y + y - 5*y)*(7 + 10 - 6) to the form i*y + d and give i.
-22
Rearrange h - h - h**4 + (-5*h + 2*h + 0*h)*(-46 - 10*h**3 + 46) to the form s*h +... | {
"pile_set_name": "DM Mathematics"
} |
x**2)*(0*x - 5*x + 18*x) to b*x**3 + r + o*x + n*x**2 and give b.
-52
Express -5*n**4 - 14*n + 16*n - 11*n**2 + 2*n**2 + 4*n**4 - n**3 as i*n**4 + r*n**2 + p*n + s*n**3 + v and give i.
-1
Express (6 - 3 - 4)*(0*u**2 + u**2 - 2*u**2) - 56*u**2 - 61*u**2 + 38*u**2 as b*u**2 + h*u + g and give b.
-78
Rearrange -11 - 14*j... | {
"pile_set_name": "DM Mathematics"
} |
hen 9578 is divided by 3192?
2
What is the remainder when 1147 is divided by 144?
139
What is the remainder when 1278 is divided by 211?
12
Calculate the remainder when 425 is divided by 34.
17
Calculate the remainder when 477 is divided by 96.
93
What is the remainder when 398 is divided by 61?
32
What is the remainde... | {
"pile_set_name": "DM Mathematics"
} |
e -2*-128809585.
257619170
Work out 2.2 * 546.5845.
1202.4859
What is -0.9854 times -9.74?
9.597796
Work out 5 * 70947894.
354739470
Multiply 0.6 and -2663.9327.
-1598.35962
Multiply -1.012135 and -3.
3.036405
Work out -1448146 * -2.
2896292
Work out 3.48077 * -46.
-160.11542
What is the product of -7 and 242.337?
-169... | {
"pile_set_name": "DM Mathematics"
} |
71 a factor of 18390099?
True
Is 460 a factor of 28613632?
False
Is 76783996 a multiple of 1120?
False
Is 7511658 a multiple of 3?
True
Does 21 divide 82770380?
False
Is 2594 a factor of 157071888?
True
Does 2982 divide 2497580064?
True
Does 74 divide 971026742?
True
Is 76794741 a multiple of 9?
True
Is 6 a factor of 4... | {
"pile_set_name": "DM Mathematics"
} |
74158
Sum 24435876.821 and -0.372.
24435876.449
96.94 - -4.032322768
100.972322768
Sum 4247 and -7199455974.
-7199451727
Calculate 374 - 1008.896536.
-634.896536
Add -33 and -191812156809.
-191812156842
Subtract 737919769.1 from -4.845.
-737919773.945
Work out -7248.95537 - 0.02217.
-7248.97754
What is the difference b... | {
"pile_set_name": "DM Mathematics"
} |
*d/(d/(d*d**(-13))*d))*d))/((d**(1/4)*d)/d**3) assuming d is positive.
d**(-201/20)
Simplify ((q*q**(-1))**28*(q**1)**(-30/13))**(4/3) assuming q is positive.
q**(-40/13)
Simplify ((d/(d*d*d**(-7/4)))/(d**(-4/5)/d))/(d**(2/21))**49 assuming d is positive.
d**(-127/60)
Simplify (c*c/(c*c**(2/13))*c)**13*(c*c/(c*c*c**(-2... | {
"pile_set_name": "DM Mathematics"
} |
.2321. Let r = 3 - -1. What is the biggest value in r, 2/11, p?
p
Let q(m) = -14*m - 10. Let s be q(-1). Let p = 3.2 - 0.2. What is the smallest value in p, s, -0.3?
-0.3
Let f be 6/(-4)*(-22)/(-33). Let v be 13/(-52) - (-1 - f). What is the second smallest value in 12, v, -3/2?
v
Suppose 2*m = 32 + 48. Suppose 6*y + m... | {
"pile_set_name": "DM Mathematics"
} |
)
Let a = 11 + -8. Let s(q) be the first derivative of 1/12*q**a + 9/4*q - 1 + 3/4*q**2. Suppose s(w) = 0. What is w?
-3
Let r(u) = -u**3 - 3*u**2 - 2*u - 1. Let m be r(-3). Solve -1 + 2*a**2 + a**m + 1 - a**4 - a**2 - a**3 = 0 for a.
-1, 0, 1
Factor -8/7 - 2/7*x**3 + 6/7*x**2 + 0*x.
-2*(x - 2)**2*(x + 1)/7
Let v = -41... | {
"pile_set_name": "DM Mathematics"
} |
o.
2, 3
Let h = 3502 + -2106. List the prime factors of h.
2, 349
Let l = 10013 - 6813. List the prime factors of l.
2, 5
Let j = -5556 - -9682. List the prime factors of j.
2, 2063
Suppose 0 = 23*p - 33154 + 5462. List the prime factors of p.
2, 7, 43
Suppose -373 = 2*r - 2*t - 3495, 4*r - 2*t - 6242 = 0. List the pr... | {
"pile_set_name": "DM Mathematics"
} |
*z
Suppose 0*l + 3*l = 3*g - 21, -5*l + 5 = 5*g. Suppose g = 5*i - 6. Find the third derivative of -12*n**2 - 2*n**4 - n**6 + 14*n**2 + i*n**4 wrt n.
-120*n**3
Let a(c) be the third derivative of 0 - 1/6*c**5 - 9*c**2 + 0*c - 5/4*c**4 + 0*c**3. What is the second derivative of a(b) wrt b?
-20
Let f(i) be the first deri... | {
"pile_set_name": "DM Mathematics"
} |
h). Calculate x(-3).
2
Let c = 8 + 5. Let l(f) = f - 18 + c - 6*f - f + 2*f + f**2. Give l(-2).
7
Suppose 3*n - 11 = v - 1, 0 = -2*n + 6. Let x be (-3 - (-21)/4)*(-4)/(-3). Let g(b) = -16 - 11*b + x + 6 + 8. Calculate g(v).
12
Let z(j) = 968*j**2 - j**3 - j**3 + j**3 + 2 - 23*j**3 - 970*j**2. Determine z(-1).
24
Let p(... | {
"pile_set_name": "DM Mathematics"
} |
*n - 3*n + 5*n)*(2*n + 0*n - 3*n) + (-n + 3*n - 4*n)*(0 + 0 - n) + 238*n - 17*n**2 - 238*n.
-21*n**2
Expand (y**2 + y**2 + 0*y**2)*(8*y + 52 - 17*y + 11*y)*(3 + 0 - 1).
8*y**3 + 208*y**2
Expand ((-1 + 1 - k)*(-2 - 2*k + 2) + 3*k**2 - 4*k**2 - 5*k**2 - k + 2*k**2 + k)*(-3 + 2 - 1)*(-k**2 + 0*k**2 - k**2).
-8*k**4
Expand... | {
"pile_set_name": "DM Mathematics"
} |
valuate ((-374)/17)/726*-33.
1
Calculate 44/(-8)*(-342)/95*(-10)/(-33).
6
Calculate (-4)/7*(-42)/4*135/(-90).
-9
Calculate -12*-14*5/(-945).
-8/9
What is (-4)/6*-3*(-116)/8?
-29
What is (19/((-665)/30))/((-7)/(735/15))?
6
What is 21/(-4)*(-4776)/(-17910)?
-7/5
Calculate ((-18)/4)/((25071/(-610))/137).
15
What is the va... | {
"pile_set_name": "DM Mathematics"
} |
**3 - 4*m**2 + 5*m - 3. Let y be r(-5). Let g be y/(4/(80/(-12))). Which is the closest to 0.1? (a) l (b) g (c) 3
a
Let p = -0.46 - -0.06. Suppose -14 + 6 = 4*z. Let q = -0.3 + 1.3. Which is the nearest to 2/5? (a) z (b) p (c) q
c
Let u = -0.2 - -0.1. Let x = 2.4 - 2.3. Which is the closest to u? (a) 2 (b) x (... | {
"pile_set_name": "DM Mathematics"
} |
ctor i(t).
3*t**2*(t + 1)*(t + 15)/2
Let l be (-4 + 25/4)/((-2)/(-4)). Factor 3/2*n**2 + l*n + 0.
3*n*(n + 3)/2
Suppose -510 = 39*a + 12*a. Let k be a*(-7 - 140/(-21)). What is q in 2/3*q**3 - k*q**2 + 14/3*q - 2 = 0?
1, 3
Let h(j) be the first derivative of -j**5/110 + j**3/33 - 137*j - 62. Let p(q) be the first deriv... | {
"pile_set_name": "DM Mathematics"
} |
pect to l.
6*l
Let v be (20 + 0)*(-2)/(-4). Suppose -2*n + m = -v, -3*n + m = -0 - 13. Find the third derivative of -n*y**6 + 3*y**6 - 2*y**6 + y**2 wrt y.
-240*y**3
Let u(p) = -p + 3. Let l be u(3). Suppose 5*a - 29 = -2*z, 0*a - a + 5 = l. What is the third derivative of -4*r**2 + 2*r**2 - 2*r**5 + r**z - r**2 wrt r?... | {
"pile_set_name": "DM Mathematics"
} |
ify (s**(-24)/s)**33 assuming s is positive.
s**(-825)
Simplify l**5/(l/l**(-8))*(l**(-2/9)*l*l)**(-48) assuming l is positive.
l**(-268/3)
Simplify (((g/(g**(-5/3)*g))/g)/g)**(3/38) assuming g is positive.
g**(-1/38)
Simplify ((u*u*u/u**(2/41)*u)/u**(2/27))**(-3/10) assuming u is positive.
u**(-2146/1845)
Simplify s**... | {
"pile_set_name": "DM Mathematics"
} |
by 43.
42
What is the remainder when 61 is divided by 17?
10
What is the remainder when 103 is divided by 28?
19
What is the remainder when 305 is divided by 14?
11
What is the remainder when 58 is divided by 15?
13
What is the remainder when 504 is divided by 46?
44
Calculate the remainder when 75 is divided by 51.
2... | {
"pile_set_name": "DM Mathematics"
} |
at is prob of picking 2 e when two letters picked without replacement from eeeemmmemeeemeemee?
22/51
Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, q: 1, p: 1, d: 10}.
1/476
What is prob of picking 2 f when two letters picked without replacement from {z: 16, f: 2}?
1/153
What is ... | {
"pile_set_name": "DM Mathematics"
} |
hen two letters picked without replacement from {a: 4, t: 5, n: 5, g: 3, o: 1}?
10/153
Three letters picked without replacement from lnlleeeee. What is prob of sequence nle?
5/168
What is prob of sequence jyyy when four letters picked without replacement from {j: 3, y: 3, x: 5, q: 2, p: 3}?
3/7280
Two letters picked wi... | {
"pile_set_name": "DM Mathematics"
} |
q**2 - 5*q**2 + 2*q**2)*(2 + q - 2).
15*q**3
Expand (3*j**4 + j - j)*(-j + j + 2*j) - 84*j**5 - 115*j**5 + 52*j**5 + 2*j**5 + j - j.
-139*j**5
Expand (0 - 1 - 1 + (0 + 0 - 1)*(-3 + 4 + 1) + 3 + 0 - 2)*(-1 + 0 + 2)*(-4 - 14 - 22)*(-2 - u + 2).
-120*u
Expand -8*z**4 + 0*z**4 - 8*z**4 + (0*z - 2*z + 3*z)*(5*z**3 + 2*z**3 ... | {
"pile_set_name": "DM Mathematics"
} |
e (-4)/14 - (6003/21)/(-3). What is the greatest common factor of i and l?
19
Suppose -10*d - 701 + 7701 = 0. What is the greatest common factor of d and 70?
70
Let a(o) = o + 1. Let s be a(-6). Let x = s + 15. Let z = 25 - 0. Calculate the greatest common factor of z and x.
5
Let y = 19 - 17. Let m(h) = -1 - 2*h + 4*h... | {
"pile_set_name": "DM Mathematics"
} |
936, 15537, 26198, 40429?
58740
What is the next term in 1556161, 1556385, 1556609, 1556833, 1557057?
1557281
What is next in 4419337, 8838682, 13258027, 17677372, 22096717, 26516062?
30935407
What comes next: 5568424, 5568429, 5568434, 5568439, 5568444, 5568449?
5568454
What is next in -62554, -249375, -560750, -99668... | {
"pile_set_name": "DM Mathematics"
} |
1
Let p be 1/2 - 30/4. Let r = -165 - -182. Let f = r - p. Solve 0 = 4*n - 2*w + f + 4, 3*n + 11 = -w for n.
-5
Let g(a) = 2*a + 21. Let p be 6/24 - -2*(-74)/16. Let f be g(p). Solve 4*l + 4*v = -12, -2*l - f*v + 2 = 8 for l.
-3
Let i(s) = s**2 - 5*s + 6. Let c be i(6). Let w(n) = -n - 9. Suppose 7*j = 2*j - 80. Let o... | {
"pile_set_name": "DM Mathematics"
} |
rom bzbzzzbbbzbbzz. What is prob of sequence bbb?
5/52
Three letters picked without replacement from {x: 12, q: 1, j: 3}. What is prob of sequence qxj?
3/280
Three letters picked without replacement from eceeeececccec. Give prob of sequence ecc.
35/286
What is prob of sequence qlln when four letters picked without repl... | {
"pile_set_name": "DM Mathematics"
} |
-z*c + 9*c + 191. Is c prime?
True
Suppose 20 = -4*k - k. Is (-13581)/18*(16/6)/k composite?
False
Suppose u + 2*n + 168 = 4*u, 5*u + 5*n - 255 = 0. Suppose -49*b = -u*b + 1175. Is b a composite number?
True
Let z = 774 - 410. Let o(m) = m + 1. Let l be o(-1). Suppose -4*t + z = -l*t. Is t a prime number?
False
Let p =... | {
"pile_set_name": "DM Mathematics"
} |
ive p.
-26
Express -219*p**2 - 4*p**3 + 39*p**4 + 220*p**2 + 10*p + 6 - p - 5 in the form x*p**3 + y*p + w*p**4 + a*p**2 + z and give a.
1
Express (-2 + 2 + 6 + (8 - 10 + 8)*(3 - 4 + 3))*(-99 + 117*m**3 + 99) in the form s + a*m**2 + v*m**3 + z*m and give v.
2106
Express -1074*c**2 - 78 + 2174*c**2 - 1084*c**2 as x*c +... | {
"pile_set_name": "DM Mathematics"
} |
+ 126*v - 6489 for v.
63
Solve 7*a + 11*a - 283 = -1019 - 344 for a.
-60
Solve -163*v - 3284 - 1072 = 1188 + 161 for v.
-35
Solve 82128 = 313*u + 1251*u + 147*u for u.
48
Solve -54*u - 269 = 214 + 333 - 60 for u.
-14
Solve -351*z - 1512*z = 1152*z + 277*z - 52672 for z.
16
Solve -8109 = 425*k - 2584 for k.
-13
Solve -4... | {
"pile_set_name": "DM Mathematics"
} |
Let f = 159 - 142. Suppose 3*i - 5*r = f, -4*i = 6*r - 2*r - 12. Calculate t(i).
10
Let x be (15/(-4))/((-1490)/1192). Let b(u) = 9*u - 1. Let h(w) = 9*w - 2. Let v(t) = -5*b(t) + 4*h(t). Give v(x).
-30
Let i(q) be the second derivative of -q**4/12 + 5*q**3/3 + q**2/2 - q. Let o(g) = 37*g + 2676. Let k be o(-72). Dete... | {
"pile_set_name": "DM Mathematics"
} |
* -0.168
-0.976752
Calculate -0.5*-2683.8.
1341.9
Product of 4 and -0.5668.
-2.2672
0.0636 * 0.094
0.0059784
Multiply 0.118 and 400.9.
47.3062
-154.9801*-0.07
10.848607
Product of 160.829 and -0.4.
-64.3316
Multiply 0.01 and 21951.
219.51
What is the product of 804 and 0.001?
0.804
Product of 4.7 and 0.2674.
1.25678
-... | {
"pile_set_name": "DM Mathematics"
} |
n(k) be the first derivative of 0*k**3 + 15*k + 0*k**2 + 21/5*k**5 + 0*k**4 + 15. Differentiate n(l) wrt l.
84*l**3
Let j(s) be the third derivative of -65*s**4/24 + 55*s**3/6 - 36*s**2. What is the derivative of j(r) wrt r?
-65
Let u = 807 + -493. Find the third derivative of 310*x**2 + 5*x**5 + 14*x**5 - 5*x + 0*x +... | {
"pile_set_name": "DM Mathematics"
} |
u prime?
True
Suppose -3*s + 20 = -8*s, 4*z - 2*s + 6088 = 0. Let d = 3097 - z. Is d a composite number?
False
Let h be 0 + 8 + 2 + -2 + 2. Is (-12836)/h*(-35)/14 prime?
True
Let u(s) = 936*s**3 + 2*s**2 + s - 2. Let d be u(1). Let w(q) = 46*q - 6. Let f be w(-9). Let g = f + d. Is g a prime number?
False
Let r = 42 -... | {
"pile_set_name": "DM Mathematics"
} |
k)?
6
Let g = -5 + -104. Let u = 217 - g. What is the hundreds digit of u?
3
Suppose 21 - 69 = -4*k. Suppose k*j + 2*j = 4564. What is the hundreds digit of j?
3
Let n = 7118 + -4160. Let a be (-2)/21*3 - n/(-14). Let k = 497 - a. What is the hundreds digit of k?
2
Suppose -3*g + 4*g = -l + 6, 0 = l - 2*g. Suppose -4*c... | {
"pile_set_name": "DM Mathematics"
} |
t**5 - 39*t**2 wrt t.
33300*a*t**2 + 240*t**2
Find the third derivative of -217*k**6 + 95*k**5 + 116*k**2 + 99*k wrt k.
-26040*k**3 + 5700*k**2
Differentiate 40609*b**3*m**3 - 2*b**3 - 9*b**2 + 3*m**3 + 7104 wrt m.
121827*b**3*m**2 + 9*m**2
What is the second derivative of -1052*g**3 - g**2 - 55498*g?
-6312*g - 2
What ... | {
"pile_set_name": "DM Mathematics"
} |
in 5, 1.18, f?
f
Let i = 9105 - 7584. What is the second smallest value in i, -8, -4?
-4
Let g = 1852 + -1888. Which is the fourth smallest value? (a) -0.29 (b) 4 (c) g (d) 0.3
b
Let k(w) = -w + 16. Let x be k(25). Let u be (-21)/x - 16/12. What is the second smallest value in 4, 32, u?
4
Let z = 181 - 178. Let n b... | {
"pile_set_name": "DM Mathematics"
} |
-3/187 + 1137/935. Is s greater than c?
True
Let n(s) = -2 + 3*s - 2 - s**2 + s. Let h be n(3). Which is greater: 2/5 or h?
2/5
Suppose 9 = 20*x - 23*x. Which is smaller: -5 or x?
-5
Let i = 101 - 148. Let a = 8310 - 41786/5. Let s = i - a. Is s > 0?
True
Let v(o) = -o**2 - 5*o + 4. Suppose s = 3*n - 94, s = -n + 2*s +... | {
"pile_set_name": "DM Mathematics"
} |
*s + 4*z = 19. Solve 10/3*h**s + 14/9*h**5 - 4/9*h - 2/9*h**2 + 0 - 38/9*h**4 = 0 for h.
-2/7, 0, 1
Let x(d) be the first derivative of 3*d**4/4 + 2*d**3 - 6*d**2 - 24*d + 20. Solve x(a) = 0.
-2, 2
Let o(b) be the first derivative of 9*b**5/20 + 69*b**4/16 + 97*b**3/12 + 43*b**2/8 + 3*b/2 + 11. Factor o(m).
(m + 1)*(m ... | {
"pile_set_name": "DM Mathematics"
} |
997086. What is h rounded to 6 decimal places?
-0.000003
Let t be (-3 + 1 + 528)*(-150)/(-10). Suppose 3*n - 4*n + t = 0. What is n rounded to the nearest 1000?
8000
Let z = 364.4 - -62.6. Let t = z + -457.9. Let d = -32.83 - t. What is d rounded to 0 dps?
-2
Let m = 50.897 - 154.923. Round m to the nearest integer.
-1... | {
"pile_set_name": "DM Mathematics"
} |
3*n - 9 for m.
-3
Let w = 18 - 51. Let i = w + 53. Solve 5*v + 7 = 4*x + 32, 4*v + 4*x = i for v.
5
Suppose -a = -s + 1, a = -0 + 1. Suppose -80 = -6*r + s*r. Solve -r = -4*q, 8 + 29 = -4*x + 5*q for x.
-3
Suppose -5*c + c = -60. Let k(i) = 39*i**2 + 14*i + 13 + i**3 + 4 - 55*i**2. Let w be k(c). Solve w*a = -5*m - 21... | {
"pile_set_name": "DM Mathematics"
} |
4*x**2
Suppose 0 = -0*c + 2*c - 14. Let f(w) = -2*w**2 + 4*w**2 + w**2 - c*w**2. Let x(z) = 2*z**2. What is x(f(h))?
32*h**4
Suppose -3*a + j + 13 = 0, -14 = -2*a + 3*j - 5*j. Let z(r) = a*r - 2*r + 0*r. Let v(b) be the second derivative of b**3/3 - b. Calculate z(v(q)).
6*q
Let y(h) = -1. Let l(j) = -7*j - 6. Let p(n)... | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 387781?
387781
What are the prime factors of 2969628?
2, 3, 17, 14557
List the prime factors of 395376.
2, 3, 8237
List the prime factors of 430744.
2, 23, 2341
What are the prime factors of 258142?
2, 337, 383
List the prime factors of 4825161.
3, 11, 17, 47, 61
What are the prime factors... | {
"pile_set_name": "DM Mathematics"
} |
(a) -7/6 (b) -10 (c) -5
a
What is the closest to 0 in 0.5, 2/37, 1/20?
1/20
What is the closest to 1 in -0.2, -139, 3, -4?
-0.2
Which is the closest to 5? (a) -1 (b) 2/5 (c) -2/5 (d) -0.1
b
What is the nearest to -5 in 4, 3/8, 3/4?
3/8
What is the nearest to 0 in -1/2, 12, 5, -0.1?
-0.1
Which is the closest to ... | {
"pile_set_name": "DM Mathematics"
} |
. What is the highest common divisor of 18 and k?
9
Let x = 27 + -16. Let v(y) = y**3 - 2*y**2 + y - 1. Let n be v(3). What is the greatest common factor of x and n?
11
Let f(m) = 2*m + 9. Let g be f(-6). Let n(c) = -3*c + 3. Let i be n(g). Calculate the greatest common divisor of i and 12.
12
Let v be 6/(-15) + 19232/... | {
"pile_set_name": "DM Mathematics"
} |
2
Let s = 20 + -14. What is the highest common divisor of 42 and s?
6
Let j(z) = -36*z. Let f be j(-3). Calculate the greatest common factor of 12 and f.
12
Let r(x) = -18*x - 1. Let i be r(1). Let o = 80 - i. What is the highest common divisor of o and 9?
9
Suppose 2*i - 68 = -4*o + i, 3*i + 48 = 2*o. What is the hig... | {
"pile_set_name": "DM Mathematics"
} |
(a) + 2*m(a). Determine i(7).
-1
Let p = -17 - -8. Let i(w) = w - 6. Let f(b) = 4*b - 23. Let q(r) = p*i(r) + 2*f(r). What is q(6)?
2
Let p(g) = 3*g**2 + 2*g - 7. Let t be p(0). Let f(k) = k**3 + 6*k**2 - 9*k. Determine f(t).
14
Let d = 4 + -9. Let y(r) = -r**2 - r - 1. Let j(t) = 4*t**2. Let n(i) = d*y(i) - j(i). Let ... | {
"pile_set_name": "DM Mathematics"
} |
3, 371101, 371109, 371117, 371125?
8*u + 371077
What is the z'th term of -35267, -70516, -105743, -140936, -176083?
2*z**3 - z**2 - 35260*z - 8
What is the c'th term of -1190699, -4762668, -10715951, -19050548?
-1190657*c**2 + 2*c - 44
What is the s'th term of 37357, 74708, 112063, 149422, 186785, 224152, 261523?
2*s**... | {
"pile_set_name": "DM Mathematics"
} |
b - 2*r + 5. Let v(o) = 5 - 3*o - 4*o + 3*o + 3*o. Give v(b).
1
Let b(w) = 13*w + 0*w + 3 - 2*w. Let j(k) = -4*k - 1. Let z(c) = -3*b(c) - 8*j(c). Determine z(-3).
2
Let g(m) = -2*m**2 - 48*m + 94*m + 1 - 44*m. Suppose 6*c = 5*b + 2*c - 3, 0 = -3*c - 6. Give g(b).
-3
Suppose l = -2*l - 3*d, -3*l = -3*d - 24. Let p(o) =... | {
"pile_set_name": "DM Mathematics"
} |
). Suppose -3*t + 18 + 6 = w. Let h = -17 + 81. What is the greatest common divisor of h and t?
8
Let f = -6 - -9. What is the greatest common divisor of 21 and f?
3
Let v = 16 + -16. Suppose -z = -2, v = k - 4*z - 0*z - 16. Calculate the greatest common factor of k and 48.
24
Let a = 2 + 0. Let d be (a - 26/7)*-7. Wha... | {
"pile_set_name": "DM Mathematics"
} |
5*x - 2*x - 5*x.
-150*x
Expand (u**3 + 27 + 0*u**3 - 6)*(2*u**2 + 0*u**2 - 3*u**2).
-u**5 - 21*u**2
Expand (-4 + 6 + 0)*(-17*h - 264 + 264) - 8*h + 4*h - 6*h.
-44*h
Expand -5*g + 2*g + 2*g + (-g + g - 2*g)*(1 - 4 + 1) + g - 2*g - g - 150*g + 1356 - 1356.
-149*g
Expand (6 - 6 + 8)*(-5 + 5 + 3*t + (t - 4*t + t)*(2 + 1 -... | {
"pile_set_name": "DM Mathematics"
} |
t c = u + -296. Which is greater: c or 140?
140
Let a = 43 - -55. Let k = a - 43. Let s = -72.3 + 72.1. Which is bigger: k or s?
k
Let c = -90 + 83. Let s be 1*(-1 + (c - -5)). Let d be -2*(-12)/18 + s/9. Does d = -25?
False
Suppose -37*a = -34*a - 2*k - 10, -a = 4*k + 20. Which is smaller: a or 248/21?
a
Suppose 4*a +... | {
"pile_set_name": "DM Mathematics"
} |
.49 + 0.6. Let w = -10/31 - -192/403. Which is the second smallest value? (a) m (b) w (c) 3/8
b
Let t = -326 - -325.7. Which is the fourth biggest value? (a) -4 (b) -5 (c) 0.05 (d) t
b
Let k = -2/1391 + -2760/15301. Which is the fourth smallest value? (a) -3 (b) 3 (c) -6 (d) k
b
Let r = 1019/2 + -509. What i... | {
"pile_set_name": "DM Mathematics"
} |
{d: 1, j: 1, w: 2, s: 1, e: 2, b: 1}. What is prob of sequence wb?
1/28
Calculate prob of sequence iu when two letters picked without replacement from eofoiuc.
1/42
Three letters picked without replacement from {e: 1, q: 4, l: 2, y: 1}. What is prob of sequence lyq?
1/42
Two letters picked without replacement from fcf... | {
"pile_set_name": "DM Mathematics"
} |
uming f is positive.
f**(1/4)
Simplify ((((x/(x*((x/((((x/(x/x**(-7)))/x)/x)/x*x))/x)/x))/x)/(x*x/(x**(-1)/x)*x))/(x**(-6))**(-33))**(-2/51) assuming x is positive.
x**(424/51)
Simplify (f**(2/5))**(-3/20)/(f**(2/5)*f**(-5))*((f/(f**(1/3)*f*f))/f*f*f**(1/2)*f*f*f)/(f**(-1))**5 assuming f is positive.
f**(878/75)
Simpli... | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from ttttxttxsttsxxst?
1/20
What is prob of sequence xg when two letters picked without replacement from {g: 1, x: 1, k: 2, t: 1, v: 1, w: 1}?
1/42
What is prob of sequence qeqb when four letters picked without replacement from {e: 7, q: 6, b: 2, w: 4, k: 1}?
7/1938
Two letters picked... | {
"pile_set_name": "DM Mathematics"
} |
**3*z - d**2 - 60*z**2 wrt d?
-294*z**2 + 36*z
Find the second derivative of -2*n**2*o**2 + 249*n**2*o + 2*n*o**2 - 472*o**2 wrt n.
-4*o**2 + 498*o
What is the first derivative of c*d**3*x - 3*c*d*y + 14*c*x + 6*d**3*y + 15*d**3 + 2*d*x*y wrt c?
d**3*x - 3*d*y + 14*x
What is the second derivative of -360*m**3*o**4 + 17... | {
"pile_set_name": "DM Mathematics"
} |
x is positive.
x**(-1/375)
Simplify x**(8/11)*x**(-3)*x*(x/(x/(x**(-5)*x)))**(10/7) assuming x is positive.
x**(-538/77)
Simplify (y/y**(-2/3)*((y*y/(y*y**(1/17)*y))/y*y)/y)**12 assuming y is positive.
y**(124/17)
Simplify (m/m**(-11)*m*m*(m*m**(-2/27))/m*m)/(m**(3/7)/m**(1/15)) assuming m is positive.
m**(13763/945)
S... | {
"pile_set_name": "DM Mathematics"
} |
64
How many minutes are there between 2:18 PM and 1:51 AM?
693
How many minutes are there between 6:35 AM and 11:24 AM?
289
How many minutes are there between 12:16 PM and 7:26 PM?
430
How many minutes are there between 1:29 AM and 11:05 AM?
576
What is 691 minutes after 10:38 PM?
10:09 AM
What is 38 minutes before 9:0... | {
"pile_set_name": "DM Mathematics"
} |
and 1708.
14
Suppose -40*i + 21*i = -6 - 89. What is the highest common divisor of i and 1?
1
Let i(g) = 97*g**2 + 3*g - 9. Let c be i(2). Let w = c + -175. Calculate the greatest common divisor of 21 and w.
21
Let f = 11906 - 10903. What is the highest common factor of 51 and f?
17
Let a(x) = 1125*x - 216. Let l be a(... | {
"pile_set_name": "DM Mathematics"
} |
. Do t and u have the same value?
False
Suppose 10*j - 6 = 5*j - j. Let c be 2/(-6) + 32/114. Does j = c?
False
Suppose 15*b - 19*b + 20 = 0. Suppose -35 = -5*w - 5*f, 3*f = -4*w - 1 + 24. Are b and w nonequal?
True
Let b = 13455/7684 + -2/1921. Which is bigger: 1 or b?
b
Let r = 0 + -0.1. Let u = 575 - 563. Does u = r... | {
"pile_set_name": "DM Mathematics"
} |
least common multiple of p and 6.
6
Let v be (-5 - -2)*4/12. What is the common denominator of v/5*(-535)/14 and -41/22?
154
Suppose 144 = 4*l + 3*q, 2*l - q - 72 = 4*q. What is the common denominator of 1/5 and (105/l + -3)*38?
30
Let n = 1566403/63 + -161332/7. Let h = 1824 - n. Calculate the common denominator of h ... | {
"pile_set_name": "DM Mathematics"
} |
ative of 4*m**5 + 22190*m**3 + m**2 - 346589*m.
80*m**3 + 133140*m + 2
Find the first derivative of -227*n**4 + 204*n**2 + 255160.
-908*n**3 + 408*n
Find the second derivative of 2*g**5*k + 1911293*g**4*k - 58*g*k - 273*g wrt g.
40*g**3*k + 22935516*g**2*k
Find the third derivative of -176625*o**3*s**3 + 2*o**3*s**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
e v*p(y) + 3*s(y).
-19*y**3
Let w(b) = 7*b + 35. Let d(r) = 21*r + 92. Determine 3*d(t) - 8*w(t).
7*t - 4
Let j = -23 + 38. Let w(a) = -5*a + 65 - 13*a**2 - j*a**3 - 65. Suppose 20*h - 42 = -302. Let s(t) = -7*t**3 - 6*t**2 - 2*t. Give h*s(b) + 6*w(b).
b**3 - 4*b
Let d(g) = 304*g**2 + 524*g - 5. Let z(k) = 221*k**2 + 3... | {
"pile_set_name": "DM Mathematics"
} |
(-35)/(-10)?
-7/5
What is (-1)/(((-12)/(-40))/(21/(-14)))?
5
(1*5/(-5))/(264/22)
-1/12
What is 3/(-6)*(-4)/(24/3)?
1/4
What is the value of -12*7/(126/(-3))?
2
What is the value of ((-4)/(-24))/(4/4)?
1/6
What is (-4)/((-1)/(2/44))?
2/11
What is the value of 2*((-24)/(-10))/6?
4/5
(-5)/15*(-18)/(-48)
-1/8
What is (7/28... | {
"pile_set_name": "DM Mathematics"
} |
-3*k - 4*d = 34. Let r = 36 + k. What is the tens digit of r?
2
Let u be (18/(-30))/((-3)/30). What is the units digit of (u/(-4))/((-10)/20)?
3
Let r(a) = -5*a - 1. Let j be r(-1). Let k be 2/(1*(-2)/(-5)). Suppose 0 = k*w - j*w - 7. What is the units digit of w?
7
Let k = 8 + -5. Let j(f) = f**3 - 4*f**2 + 3*f + 4. ... | {
"pile_set_name": "DM Mathematics"
} |
is the smallest common multiple of 3/(-2)*(-300)/25 and 18?
18
Suppose -4*h + 2*h = -372. Find the common denominator of h/(-44)*(-6)/(-9) and 65/6.
66
Suppose 2*v + 3*v = 2*p - 7, -5*v = 4*p + 1. Let h = 1207 - 10834/9. What is the common denominator of 222/21*v/2 and h?
63
What is the common denominator of (9/2)/((-... | {
"pile_set_name": "DM Mathematics"
} |
+ 20 = 0, 0*t + b + l = 2*t. What is the derivative of t + 7*m**3 + 0 - 2 wrt m?
21*m**2
What is the first derivative of 291*u**3 - 562 - 223*u - 211*u + 434*u wrt u?
873*u**2
Suppose 4*w - 2*w = 5*l - 48, -2*w + 32 = 5*l. Find the third derivative of 2*j**2 - 797*j**6 + 819*j**6 + l*j**2 wrt j.
2640*j**3
Let l(f) be ... | {
"pile_set_name": "DM Mathematics"
} |
vide -21885600 by -729520.
30
Calculate 7950 divided by -1272.
-25/4
What is -87696048 divided by -4?
21924012
Divide 1 by 55516319.
1/55516319
What is 31 divided by 10112950?
31/10112950
Calculate 1017242 divided by 2.
508621
-11 divided by -33522057
11/33522057
What is -9542841 divided by -29183?
327
What is 2 divide... | {
"pile_set_name": "DM Mathematics"
} |
j. List the prime factors of b.
29
List the prime factors of 2 - (-132)/(-154) - (2 - (-1112094)/(-21)).
2, 3, 1471
Suppose -5*l + 194 = 184. Suppose l*w - 5*b = 277, -4*w = 3*b + b - 484. What are the prime factors of w?
2, 3, 7
Suppose 5*p + 2*o - 27223 = 0, 4*p - 95*o - 21760 = -92*o. List the prime factors of p.
54... | {
"pile_set_name": "DM Mathematics"
} |
Let m = 306 + -155. Suppose 4*q + 3*l - 135 = m, 2*q + l - 142 = 0. Does 22 divide q?
False
Suppose 0 = -0*p + 6*p. Suppose -4*h - 4*c + 40 = p, -1 = 4*c - 5*c. Does 3 divide h?
True
Let o(i) = -213*i - 32. Is o(-4) a multiple of 60?
False
Let u(p) be the second derivative of 137*p**5/20 - 5*p**3/6 + 2*p**2 + 18*p. Is... | {
"pile_set_name": "DM Mathematics"
} |
e i.
1, 55/2, 110820
Factor -f**5 + 478021*f**4 + 29641146*f**3.
-f**3*(f - 478083)*(f + 62)
Determine p, given that 11142*p**3 - 2518096*p**2 + 142273102*p - 51076 = 0.
2/5571, 113
Suppose -23678*l**3/11 - 615624*l**2/11 - 4001478*l/11 + 676/11 = 0. What is l?
-13, 2/11839
Suppose -w**3/11 - 240*w**2/11 + 153168*w/11 ... | {
"pile_set_name": "DM Mathematics"
} |
'th term of 2209, 1871, 1567, 1297, 1061, 859?
17*r**2 - 389*r + 2581
What is the n'th term of -622795477, -622795474, -622795469, -622795462, -622795453, -622795442, -622795429?
n**2 - 622795478
What is the v'th term of 1194, 967, 828, 777, 814, 939, 1152?
44*v**2 - 359*v + 1509
What is the m'th term of -3651, -10553,... | {
"pile_set_name": "DM Mathematics"
} |
eplacement from qqeeeeeeeeeeeeeeeeqe. Give prob of sequence qqq.
1/1140
Calculate prob of sequence vvs when three letters picked without replacement from {h: 1, z: 1, d: 3, s: 4, v: 1, f: 2}.
0
What is prob of sequence olx when three letters picked without replacement from {x: 1, o: 1, e: 2, l: 1}?
1/60
Four letters pi... | {
"pile_set_name": "DM Mathematics"
} |
u + 17 for t.
-1
Let u = -1925 + 1955. Solve -2*t + 5 = -3*n - 0*n, 3*n = -3*t - u for n.
-5
Let y(k) = k**3 - 12*k**2 + 12*k + 3. Let n be y(11). Let v be ((-1)/(-1))/((-35)/n + 3). Suppose 5*x = -0*x. Solve x = 3*m + d + 2, -4*m + 7*m + 5*d = v for m.
-1
Let y(k) = 2*k - 108 + 96 - 5*k + k. Let s be y(-7). Solve -2*... | {
"pile_set_name": "DM Mathematics"
} |
4309?
333
What is the highest common factor of 488 and 504?
8
Calculate the greatest common factor of 105525 and 875.
175
What is the highest common divisor of 231 and 172689?
33
What is the highest common factor of 471 and 192?
3
What is the greatest common factor of 18 and 1056?
6
What is the highest common divisor o... | {
"pile_set_name": "DM Mathematics"
} |
- 4. Let n = 5 + -2. Give l(n).
7
Let y(g) be the third derivative of 0*g - 1/12*g**5 + 0 - 1/12*g**4 + g**2 - 1/2*g**3 - 1/120*g**6. Calculate y(-5).
7
Let h = 0 - 0. Let n(a) = 7 + 3*a - 2*a + a**3 + 0*a**3 - 2*a + a**2. Determine n(h).
7
Let s(q) be the first derivative of q**6/36 - q**5/120 - 2*q**3/3 - 7. Let y(z... | {
"pile_set_name": "DM Mathematics"
} |
What is the derivative of 112 - 7*a**3 - 61*a**s - 3 - 85*a**3 wrt a?
-459*a**2
Let q(k) = 2*k**3 - 4*k**2 + 7*k - 6. Let b be q(4). Suppose -3*x + 1972 - 1960 = 0. Find the second derivative of b + 33*g + 3*g + 5*g**x - 86 wrt g.
60*g**2
Let h(u) = -u**3 - 6*u**2 - 14*u - 4. Let o be h(-6). Let s = 83 - o. What is the... | {
"pile_set_name": "DM Mathematics"
} |
+ 0 - 2/5*z**3 + w*z**2 = 0. Calculate z.
-1, 0
Let t(w) be the third derivative of -19/540*w**6 + 13/945*w**7 + 0*w + 57*w**2 + 0 - 29/54*w**5 - 1/1512*w**8 - 44/27*w**4 - 64/27*w**3. Factor t(y).
-2*(y - 8)**2*(y + 1)**3/9
Let m(s) be the second derivative of 3*s**5/20 + 25*s**4/4 - 13*s**3 + 365*s + 3. Factor m(l).... | {
"pile_set_name": "DM Mathematics"
} |
2*q + 3*z - 1690, -z + 846 = -2*q - 832. Is -835 equal to q?
False
Let g(h) be the third derivative of h**4/8 + 4*h**3/3 + 2*h**2 + 8*h. Let s be g(-3). Which is greater: 2/193 or s?
2/193
Suppose -5*l - 4 = -24. Suppose w = 5*w - l. Is w != 3/17?
True
Let i(w) = -w**3 - 12*w**2 - 9*w - 3. Suppose -c + 3*j - 23 = 0, -2... | {
"pile_set_name": "DM Mathematics"
} |
3*o*(o + 1)**2
Let f = -1007/4 + 270. Let l = 665/36 - f. Factor 4/9*c - l - 2/9*c**2.
-2*(c - 1)**2/9
Let m(a) = 9*a**2 + 25*a + 5. Let q = -31 - -30. Let b(x) = x**2 + x + 1. Let y(w) = q*m(w) + 5*b(w). Let y(t) = 0. What is t?
-5, 0
Let y(h) = -h**3 - 9*h**2 - 11*h - 7. Let m be y(-8). Determine l, given that -18*l... | {
"pile_set_name": "DM Mathematics"
} |
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