text stringlengths 270 8.19k | meta dict |
|---|---|
380
Two letters picked without replacement from {c: 2, z: 2, g: 1}. What is prob of picking 2 c?
1/10
Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {p: 9, w: 3, l: 3, q: 2}.
3/68
Calculate prob of picking 2 u and 2 m when four letters picked without replacement from mqmqquqmq.
0... | {
"pile_set_name": "DM Mathematics"
} |
-0.1? (a) -7 (b) 0.1 (c) -207
b
What is the closest to 1 in -0.1, -28/9, -5, -0.4?
-0.1
What is the nearest to -4.89 in -52, -0.1, -2?
-2
What is the closest to 1.8 in 4, 10, 0.081?
0.081
What is the nearest to -1 in -1/3, -0.5, 0.2576828?
-0.5
Which is the closest to -5? (a) 2/11 (b) 12 (c) -3/5 (d) -23
c
Which... | {
"pile_set_name": "DM Mathematics"
} |
-5*i**2 + 6*i - 7*i - 3 + 48 + 4*i. Let o(a) = 4*a**2 - 2*a - 44. Let n(m) = -3*o(m) - 2*v(m). What is j(n(t))?
8*t**4 - 336*t**2 + 3528
Let p(q) be the first derivative of -2*q**2 + 3. Let m(l) = -32*l - 8. Let t(a) = 21*a + 5. Let n(j) = -5*m(j) - 8*t(j). What is p(n(c))?
32*c
Let u(h) = 138*h - 138*h + 447*h**2. Let... | {
"pile_set_name": "DM Mathematics"
} |
3*c**2 + 2*c*p**4 - p wrt p.
936*c**2*p + 24*c*p**2
What is the third derivative of -2*b*m**3 + 72*b*m + 31*m**4 + 2*m**3 + 2*m**2 wrt m?
-12*b + 744*m + 12
Find the third derivative of 1611*f**4 - 779*f**2 wrt f.
38664*f
Find the third derivative of -p**2*q*t**3 + 4*p**2*q*t**2 - 46*p**2 - 3*p*t**4 - 158*q*t**4 - 2*q ... | {
"pile_set_name": "DM Mathematics"
} |
+ n**2 + 911.
n**2
Collect the terms in 14*a**2 + 25*a**2 - 43*a**2 + 16*a**2.
12*a**2
Collect the terms in -44*f**2 + 36 - 75 + 37.
-44*f**2 - 2
Collect the terms in 4*h - 5*h + h + 3*h**2.
3*h**2
Collect the terms in -7*r**2 - 67*r**2 + 14*r**2.
-60*r**2
Collect the terms in 2*y - 13*y + 0 + 0.
-11*y
Collect the ter... | {
"pile_set_name": "DM Mathematics"
} |
4, -862, -2090, -3924, -6430?
-11*w**3 - 204*w**2 + w + 40
What is the y'th term of 65, 246, 561, 1022, 1641, 2430, 3401?
2*y**3 + 55*y**2 + 2*y + 6
What is the c'th term of -5123, -4472, -3821, -3170?
651*c - 5774
What is the w'th term of -390, -715, -1040, -1365, -1690, -2015?
-325*w - 65
What is the k'th term of -37... | {
"pile_set_name": "DM Mathematics"
} |
divided by 29.
27
Calculate the remainder when 221 is divided by 49.
25
Calculate the remainder when 1647 is divided by 66.
63
Calculate the remainder when 4948 is divided by 150.
148
What is the remainder when 4993 is divided by 15?
13
What is the remainder when 450 is divided by 3?
0
What is the remainder when 921 is... | {
"pile_set_name": "DM Mathematics"
} |
be 3/(-4) - k/120. Let s = r + -2/105. What is the common denominator of -23/10 and s?
70
Suppose 0 = -3*r + s + 3*s + 52, -5*s + 70 = 3*r. Let c = 1644 - 2573. Let v = -901 - c. What is the least common multiple of r and v?
140
Calculate the common denominator of (10*9/9252)/((-18)/63) and -87/20.
5140
Calculate the c... | {
"pile_set_name": "DM Mathematics"
} |
hen 16 is divided by 4 + m/v - 4.
4
Let d(l) = -l + 83. Suppose -2*r - 87 = -29*u + 32*u, u = -5*r - 185. Calculate the remainder when d(r) is divided by 20.
19
Let d(j) = j**3 + 14*j**2 - 15*j - 46. Let l be d(-12). Suppose 472 = 2*q + l. What is the remainder when q is divided by 4?
1
Let l(j) = j**3 + 13*j**2 + 13*j... | {
"pile_set_name": "DM Mathematics"
} |
0.59 and -0.4?
-48288.236
What is -13636794 times 0.8?
-10909435.2
-2*-998.2012
1996.4024
Calculate 0.08*2.20908.
0.1767264
Work out 105 * -0.014444.
-1.51662
Calculate 29.71*-437.3.
-12992.183
Calculate -1*-104.21326.
104.21326
Multiply -13.3002 and -154.
2048.2308
Product of 12.8417 and -521.
-6690.5257
-461320 * -39... | {
"pile_set_name": "DM Mathematics"
} |
to the nearest one thousand.
32000
Let u be (-2)/(-5) - 1/(-5)*-2. Suppose u*t - 19*t = 188100. What is t rounded to the nearest 10000?
-10000
Let k = -1409 + 618. Let h = k - -790.76022. Let a = h - -0.24. What is a rounded to 4 dps?
0.0002
Let t = -21.4 - -20. Let m = 9.4 + t. Let p = m + -8.0001. Round p to four de... | {
"pile_set_name": "DM Mathematics"
} |
*j
Collect the terms in -245 + 85 + 8 + 7*f + 61.
7*f - 91
Collect the terms in -11727*k**2 + k**3 - 10527*k**2 + 32782*k**2 - 10528*k**2.
k**3
Collect the terms in -29*h + 49836301 + 25*h - 241*h - 49836301.
-245*h
Collect the terms in 385 - 3*m - 1902 + 234.
-3*m - 1283
Collect the terms in 132 - 2325*v - 158 + 2327*... | {
"pile_set_name": "DM Mathematics"
} |
1556*w**7/105 - 101*w**5/30 + 5*w**3/3 - w**2 + w + 152. Find the third derivative of t(m) wrt m.
74688*m
Suppose 18*l = 8*l - 120. Let o = l + 16. Find the third derivative of -26*m**o + 41*m**4 + 11*m**2 - 24*m**4 wrt m.
-216*m
Let r(d) = 133*d**3 - 1374*d**2 + 20*d - 4. Let x(b) = 132*b**3 - 1375*b**2 + 25*b - 5. L... | {
"pile_set_name": "DM Mathematics"
} |
f(x) = -j(x) + 2*u(x). Differentiate f(q) wrt q.
24*q**3 + 4
Let l(w) be the first derivative of w**8/168 + w**5/12 + 3*w**2 + 4. Let p(j) be the second derivative of l(j). What is the third derivative of p(b) wrt b?
120*b**2
Differentiate 11527 - 4*x + x**2 - 11567 - 8*x with respect to x.
2*x - 12
Let h(p) = p**2 - p... | {
"pile_set_name": "DM Mathematics"
} |
7735*r**3 + 7*r**2 + 14*r - 16. Let n be t(-8). What is n rounded to the nearest one hundred thousand?
-4000000
Suppose 3*u - 8 = -u. Suppose 0 = -4*t + u*t - 15200. What is t rounded to the nearest one thousand?
-8000
Suppose 3*o - 4960003 = -4*r, 0 = 6*r - 4*r + o - 2480001. Round r to the nearest one hundred thousa... | {
"pile_set_name": "DM Mathematics"
} |
e?
True
Is 1844245099 prime?
True
Is 2554917193 composite?
False
Is 4432170751 a prime number?
True
Is 26013707 a prime number?
True
Is 49482887 a prime number?
False
Is 32700207923 composite?
True
Is 4674423797 a prime number?
False
Is 216986802337 a composite number?
True
Is 4915395071 a prime number?
True
Is 1501627... | {
"pile_set_name": "DM Mathematics"
} |
*3 and give i.
-1
Rearrange -19*s - 25 - s**3 - 21 + 48 + 2*s**2 to the form u*s + q + z*s**2 + t*s**3 and give z.
2
Express -7*p**3 - 35*p**2 + 35*p**2 + (-2 + 2 - p**2)*(-5 + 1 - 5)*(2 + 2*p - 2) in the form m*p**3 + y*p**2 + j*p + r and give m.
11
Express 20*z - 16 + 16 in the form i*z + h and give i.
20
Express l -... | {
"pile_set_name": "DM Mathematics"
} |
or w.
4
Let r be (2/3)/(5/(-210)). Let o be 75/9 + 5 + (-2)/(-3). Let v be 4/o + ((-320)/r)/2. Solve u = -u - v for u.
-3
Suppose -2*l + 40 = -31*h + 35*h, -4*h + 3*l = -40. Suppose 0 = o + 8 + 2. Let j = h + o. Solve j*a - 3 = -3*a for a.
1
Let w be (-6)/8 + (1830 - 1 - 18/(-24)). Solve 0 = 14*y + w - 1885 for y.
4
Su... | {
"pile_set_name": "DM Mathematics"
} |
)**(-37) assuming z is positive.
z**(703/23)
Simplify ((g**(-3/2)*g**(3/5))**29)**(-1/53) assuming g is positive.
g**(261/530)
Simplify ((j/(j*j*j**(2/5)))**(-1/22))**(-6/31) assuming j is positive.
j**(-21/1705)
Simplify (v*v**(1/3))/v*v**(-1/54)*v**13/(v/(v/v**1)) assuming v is positive.
v**(665/54)
Simplify (o*o**(-... | {
"pile_set_name": "DM Mathematics"
} |
+ r*l**2 + j*l and give k.
-2
Express (3*o - o**2 - 3*o)*(59 + 7 - 26)*(-5*o + 6*o + 4*o + (4 - 2*o - 4)*(1 - 1 - 2) + 3 - 3 - 2*o + 0*o + 3*o - 4*o) as z*o**3 + f*o**2 + k + g*o and give z.
-240
Express y - 3 + 3 + 0*y + y - 2*y + (4 + 2*y - 4)*(-2 + 2 - 3) - 3 - y + 3 + (0 + 0 + 3)*(6*y + 2*y - 5*y) + 0*y + 0*y + y ... | {
"pile_set_name": "DM Mathematics"
} |
t o(q) be the second derivative of q**5/20 - 31*q**3/6 - 43*q**2/2 + 55*q. Find the first derivative of o(k) wrt k.
3*k**2 - 31
Suppose 0 = 4*x + x - 15. Suppose 3*n - 7 = 5. What is the second derivative of -n*v - 44 - 3*v**x + 44 wrt v?
-18*v
Suppose 3*j = -y - 4*y - 17, -16 = 4*y + 3*j. Let r be y + (-15)/20*-4. Fin... | {
"pile_set_name": "DM Mathematics"
} |
163 = 0. Is (-4 - i) + (-12)/3 a composite number?
True
Suppose -5*d = -1440 - 475. Let m = d + -118. Is m a prime number?
False
Let i(v) = v**3 + 3*v**2 + 10*v. Let s be i(12). Suppose 4*j + 6*k = k + 4530, -5*k = -2*j + s. Is j a composite number?
True
Suppose s - 4*s + 4158 = -3*u, -3*u = -2*s + 2777. Let m = -858 +... | {
"pile_set_name": "DM Mathematics"
} |
2104
Find b such that -2*b**2/5 + 54110*b - 270548/5 = 0.
1, 135274
Let d**2/3 - 61754*d/3 + 953389129/3 = 0. What is d?
30877
Factor -2*f**2/3 - 222*f - 5508.
-2*(f + 27)*(f + 306)/3
Factor 2*c**3/15 - 20968*c**2/15 + 55145354*c/15 - 328611468/5.
2*(c - 5233)**2*(c - 18)/15
Determine x so that 12*x**4 - 2308*x**3 + 7... | {
"pile_set_name": "DM Mathematics"
} |
4.
-33302320
What is 1cc (base 14) in base 6?
1424
-18620 (base 10) to base 7
-105200
4a9 (base 14) to base 15
423
What is -6 (base 7) in base 10?
-6
Convert -1b0c5 (base 13) to base 2.
-1100111010011001
What is 67bb (base 12) in base 15?
362e
What is 2cde (base 15) in base 16?
25bb
Convert -2014 (base 5) to base 7.
-... | {
"pile_set_name": "DM Mathematics"
} |
he third derivative of t**7/210 + 19*t**6/120 - 41*t**5/60 + 7*t**4/8 + 26*t**2. Solve a(q) = 0 for q.
-21, 0, 1
Let j(s) = s**4 - 64*s**3 + 120*s**2 - 72*s + 5. Let b(h) = 33*h**3 - 60*h**2 + 36*h - 3. Let d(u) = -5*b(u) - 3*j(u). Factor d(r).
-3*r*(r - 6)*(r - 2)*(r - 1)
Suppose -5*n = 3 + 7. Let h be 2/4 + (-1)/n. F... | {
"pile_set_name": "DM Mathematics"
} |
e.
u**(-10416/473)
Simplify (l**(-1))**(-1/3)/((l*l**15)/l**(2/17)) assuming l is positive.
l**(-793/51)
Simplify ((k*k**1)**(-29/2)/(k/((k**(-3)/k)/k*k))**31)**21 assuming k is positive.
k**(-3864)
Simplify ((s*s**(-3/4))/s**(-6/7))**38 assuming s is positive.
s**(589/14)
Simplify (d**(-5/3)/d*d*d**26/d)/(d/d**(-1/5))... | {
"pile_set_name": "DM Mathematics"
} |
98 to the power of 1/3, to the nearest integer?
222
What is the cube root of 307917 to the nearest integer?
68
What is the eighth root of 6371338 to the nearest integer?
7
What is 6194655 to the power of 1/2, to the nearest integer?
2489
What is the square root of 497066 to the nearest integer?
705
What is 2557009 to t... | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -x*b - 4*b = -g. Solve a = 5*a + 12, b*m + 18 = -2*a for m.
-4
Let l(f) = -f**3 + 25*f**2 + 39*f + 6. Let o be l(26). Let b = o + -341. Solve -b*a - 4*u + 21 = 0, -5*a - u + 24 = 2*u for a.
3
Suppose 5*a = -4*a - 0*a + 72. Solve 4*u = -4*k - 4, -48 = 4*k - 5*u - a for k.
-5
Let s(v) = -12*v**2 - 4*v + 43. Let... | {
"pile_set_name": "DM Mathematics"
} |
-g - l. Is 42 a factor of g?
False
Suppose 3*x - 4123 = -g, -2*g + 4904 = x - 3352. Suppose 1613 = 33*i - g. Is i a multiple of 58?
True
Is 7 a factor of -13*189/(-351) - 17484/(-2)?
False
Suppose -4*t = 4*r - 24, 3*t - t - 22 = -4*r. Suppose -2*z = -237 + 29. Suppose -r*d = 4*o - z, -2*o = 2*d + 3*d - 42. Is 4 a fact... | {
"pile_set_name": "DM Mathematics"
} |
= 0. Calculate the least common multiple of 16 and j.
48
Suppose d = 4*v + 15, -60 = -4*d - 3*v - v. Calculate the common denominator of 25/42 and (-13)/2*((-50)/d + 7).
42
Let m = -148613/105 + 1416. What is the common denominator of m and 2020/(-202) - (-1)/20*1*394?
210
Let s(r) = -r**3 + 2*r**2 - r + 24. Suppose 0... | {
"pile_set_name": "DM Mathematics"
} |
of -42, -53, -64?
-11*t - 31
What is the d'th term of -103, -361, -793, -1405, -2203, -3193, -4381, -5773?
-d**3 - 81*d**2 - 8*d - 13
What is the h'th term of -1192, -2384, -3576, -4768?
-1192*h
What is the i'th term of 5082, 10152, 15220, 20286, 25350, 30412?
-i**2 + 5073*i + 10
What is the k'th term of -32, -38, -50,... | {
"pile_set_name": "DM Mathematics"
} |
y**3 - 2*q*s - 2197*s*y**3 - 58*y wrt q.
4*s*y**3 - 1226674*y**3
Find the first derivative of -216537*d**2 + 919526.
-433074*d
Find the second derivative of 150662*n**2 + 619410*n wrt n.
301324
Find the third derivative of 12628*h**3 + 2*h**2 + 19*h + 5.
75768
Find the second derivative of 10330*c**4 + 8*c**2 + 9554*c ... | {
"pile_set_name": "DM Mathematics"
} |
2/(-75).
1/4
Calculate 485/(-194)*20/1425.
-2/57
What is (6/(1554/(-7)))/(1/(4/4))?
-1/37
What is 8/34*538/(-2152)?
-1/17
Calculate (3/(18/8))/(-1*88/(-36)).
6/11
Calculate 3*10/(-6)*(-4)/(-350).
-2/35
What is the value of 5/((-15)/18)*55/(-66)?
5
Evaluate ((-8)/18)/(7/(2142/884)).
-2/13
(68/68*1/(-1))/(3/3)
-1
Calcula... | {
"pile_set_name": "DM Mathematics"
} |
= 4*v, -2*j + 48 = 2*v + 14. Let s(i) = 13 - v + 11*i. Does 10 divide s(1)?
False
Let x = -62 + 104. Suppose 5*u + 19 - 6 = 3*g, -2*g = 5*u - x. Is 4 a factor of g?
False
Let w = 198 + -126. Is 10 a factor of w?
False
Suppose -3*d + 2*d - 1 = 0. Let k = 18 + d. Is 9 a factor of k?
False
Let x(u) = -25*u - 49. Is 42 a f... | {
"pile_set_name": "DM Mathematics"
} |
82*n**3 - 109*n*o**4 - 3*n*o**2 + 5097*o**4 wrt o.
36*n**3 - 2616*n*o + 122328*o
Differentiate 376671791*n**3 + 286149008 with respect to n.
1130015373*n**2
What is the second derivative of -3*s*w**2*z**2 + 212623*s*w*z**2 + s*w*z + s*z**2 - 3*s*z - 159*w**3 + 28326*w**2*z + 2*z wrt w?
-6*s*z**2 - 954*w + 56652*z
What ... | {
"pile_set_name": "DM Mathematics"
} |
9*d**3 + 28*d**2 + 3 - 52*d - 3 + 20*d**2 - d**4 - 18*d**3.
-d*(d - 2)**2*(d + 13)
Suppose 229 - 229 = 21*i. Let u(r) be the second derivative of 1/90*r**5 + i - 19*r - 5/54*r**4 + 0*r**3 + 0*r**2. Solve u(n) = 0 for n.
0, 5
Let z = 1624 + -1619. Suppose z*m + 3*r = 25, -4*m - 17*r = -20*r + 7. Factor -20/3*b - 100/3 ... | {
"pile_set_name": "DM Mathematics"
} |
w(u).
2*u*(u + 1)*(u + 2)
Let t be 2*(-4)/24*0. Suppose t = 8*o - 10*o. Suppose -5*l**2 + o*l + 9*l**2 - 3*l = 0. What is l?
0, 3/4
Let u(r) be the second derivative of r**6/25 - 7*r**5/50 + r**4/10 + r**3/5 - 2*r**2/5 + 2*r + 36. Solve u(m) = 0 for m.
-2/3, 1
Let r be (-19)/(57/(-18)) + (-3 - -1). Factor 2*j**5 + 5*j*... | {
"pile_set_name": "DM Mathematics"
} |
(-4)/(-5*(-37 - 14333/(-385)))?
7/2
(-207)/2*(-172)/(-10062)*-13
23
What is the value of (-36740)/2376*4 + 62?
4/27
What is the value of ((-6 + 666/117)*94/470)/1?
-4/65
Evaluate ((-222)/(-10))/((-315)/(60/(-4)) + 558/(-30)).
37/4
(((-69)/(-552))/((-1)/(-4)))/(15/(-4) + 3)
-2/3
What is ((-11153)/7631)/(2/(-26))?
19
Wha... | {
"pile_set_name": "DM Mathematics"
} |
*10
Simplify (f*f/(f**(-2/7)/f))/(f*f/(f**(-3)/f)*f*f)*(f/(f**(-1)/f))/(f**2*f) assuming f is positive.
f**(-33/7)
Simplify c*c**(9/5)*c**(2/7) assuming c is positive.
c**(108/35)
Simplify (d**(-2/17)*d/d**(-3/4))**(2/109) assuming d is positive.
d**(111/3706)
Simplify c**(2/5)*c/(c**(-12)*c) assuming c is positive.
c*... | {
"pile_set_name": "DM Mathematics"
} |
Which is the closest to g? (a) -1/4 (b) -0.2 (c) 0.5
b
Suppose 2*u - 18 = 4*f, -2*f + 6 = 2*u - 0*u. Suppose 3*k = -k + 8. Let b be 2/(-20)*u/k. What is the closest to b in 0.3, -4, -1?
0.3
Suppose 0 = -3*z + 2 + 7. Let v be (26/12 - 2)*z. Which is the closest to 0.1? (a) v (b) 0.1 (c) -1/2
b
Suppose 8*p = 13*p ... | {
"pile_set_name": "DM Mathematics"
} |
(1696802/180 - m). Let l = 9420 - h. Find the common denominator of l and 44/5.
10
Find the common denominator of 67/8 and (1 - -1) + 12200/784 + -18.
392
Suppose 3*a + 1 = -y, 3*a = -0*y - 3*y + 3. Let o = -14 - -24. Suppose x - o = y*j - 4*j, -4*j = -5*x + 78. What is the least common multiple of 6 and x?
42
Let x = ... | {
"pile_set_name": "DM Mathematics"
} |
or of w?
False
Is 12 a factor of -9*1/(-15) - (-50694)/85?
False
Does 58 divide (-1735)/(-9) + 4/18?
False
Let l(a) be the second derivative of a**5/4 - a**4 - 17*a**3/6 + 15*a**2/2 - 11*a. Let s(f) = f**3 - f. Let p(g) = l(g) - 6*s(g). Does 31 divide p(-12)?
False
Let i(n) = 11*n**2 - 1 + n + 4 + 1 + n**3 + 4*n. Is i(... | {
"pile_set_name": "DM Mathematics"
} |
4 + 23*y - 31/2*y**2. Is q(-23) prime?
True
Suppose 0 = -3*s + 56 - 44. Suppose -2*o = -n - n - 4, s*o - 23 = -n. Is n - (5 - 4622/2) composite?
False
Let a(c) = c**3 + 16*c**2 + 8*c + 29. Suppose s - 53 + 7 = 0. Suppose -5*d - s = 2*n + 25, n - 62 = 4*d. Is a(d) composite?
True
Let i(b) be the second derivative of 395... | {
"pile_set_name": "DM Mathematics"
} |
of i(s) wrt s.
660*s**2
Suppose k + 5 = -5. Let q be (k/15)/((-1)/3). What is the third derivative of 3*c**2 + c**2 - q*c**4 + 9*c**4 wrt c?
168*c
Find the third derivative of -11*m**5 + 196*m - m**6 - 36*m**2 - 196*m wrt m.
-120*m**3 - 660*m**2
Let a(h) be the first derivative of 0*h + 0*h**5 + 0*h**4 + 7/3*h**3 - 3 ... | {
"pile_set_name": "DM Mathematics"
} |
))/(sqrt(99)/sqrt(396) - (sqrt(9)*1*5 + sqrt(9))).
-6*sqrt(5)/35 + 2
Simplify -4 + 0 + (((sqrt(234) - sqrt(234)*-4) + sqrt(234) - sqrt(234))/sqrt(6)*3)/(-4*(sqrt(27) - sqrt(3)) + sqrt(192) + -1*sqrt(192)).
-15*sqrt(13)/8 - 4
Simplify (0 + (4*((sqrt(75) + 1)*-6 + sqrt(75)) - 2*(-4 + 5*sqrt(75))))**2.
4800*sqrt(3) + 6775... | {
"pile_set_name": "DM Mathematics"
} |
8. Let b = 1 - -8. Let w = -8 + b. Is c at least w?
False
Suppose 0 = -0*f - f + 10. Let n be f/3*(-6)/(-5). Let l be ((-5)/3)/(n/(-24)). Is 9 < l?
True
Let g = -45.5 - -45.38. Which is smaller: 17 or g?
g
Let a be (-18)/(-8)*(-32)/12. Let g be (8/(-3))/(4/a). Let f be (8 - (-6 + g))/1. Which is smaller: f or 1/3?
1/3
... | {
"pile_set_name": "DM Mathematics"
} |
y*z + n*y + 3*n*z + 479*t**3*y - 95*t**2*z wrt t?
-36*n*y*z + 120*n*z + 2874*y
What is the second derivative of 1492*s**4 - 1366*s**2 + 132260*s?
17904*s**2 - 2732
Find the third derivative of 2742*c**3*n + c**3 + 125*c**2*n - 3*c**2 + 6*n + 2 wrt c.
16452*n + 6
Find the first derivative of -17796*q**4 + 19822.
-71184*... | {
"pile_set_name": "DM Mathematics"
} |
609*d + 2360609*d.
8*d**2
Collect the terms in 2*c - 5 - 6 + 14 - 18*c + 1.
-16*c + 4
Collect the terms in 10 - 78*y**2 + 4 - 2 - 8.
-78*y**2 + 4
Collect the terms in 1202 - 1202 + 3553*y**2.
3553*y**2
Collect the terms in 70*g**2 + 71*g**2 - 208*g**2 + 66*g**2 + 1744*g.
-g**2 + 1744*g
Collect the terms in 4427*p**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
e of (13 - 13)/(-5) - (-33)/(-55)?
-3/5
-1 + (1 - -2 - 0) - (-600)/75
10
What is the value of ((-10)/8)/(145 - 140) + 1?
3/4
Calculate ((-1)/5 + -1)/(30/100) - 12.
-16
Evaluate (-14)/(0 + 1) - (-24 + (10 - -13)).
-13
What is (-273220)/(-9272) - 34 - 9/(-2)?
-2/61
What is the value of 84/10 + (-62 - -5 - -48)?
-3/5
Eval... | {
"pile_set_name": "DM Mathematics"
} |
o the nearest ten.
-660
Round -1.1236 to 2 decimal places.
-1.12
Round -121.035 to the nearest 10.
-120
What is 26.76 rounded to the nearest ten?
30
Round -361.7 to the nearest ten.
-360
Round 111.811 to the nearest ten.
110
What is -7.1 rounded to one decimal place?
-7.1
What is 3284 rounded to the nearest 1000?
3000
... | {
"pile_set_name": "DM Mathematics"
} |
value in 0.068, n, 0.059?
0.059
Let z be ((-6)/(-126))/((-1)/2). Let a be 141/(-5)*(634/126 - 5). Let l = z - a. What is the smallest value in -4, l, -5, 1?
-5
Let z = -0.1815 + 0.2815. What is the second smallest value in -90, z, -1?
-1
Let n be (-1)/1 - (-18)/10. Let o be ((-6)/(-5))/((-404)/5050). Which is the secon... | {
"pile_set_name": "DM Mathematics"
} |
4. Let j = 2.4 + 0.6. Let g = -4.4 - -4. What is the second biggest value in j, s, g?
g
Let c = 0.5 + 3.5. Let r = 0.17 - 0.37. What is the smallest value in r, c, 0.1?
r
Let v = 15 + -10. Let i be ((-2)/(-6))/((-10)/12). What is the third biggest value in -1/7, i, v?
i
Let o = 0.03 - 0.43. Which is the second smallest... | {
"pile_set_name": "DM Mathematics"
} |
= -x*q. What is the lowest common multiple of q and 6?
60
Let r be 5 - (-599 - 3/3 - 5). Let b = 3607/6 - r. Calculate the common denominator of b and 121/60.
60
Let x be (-2)/(-10) + 224/(-70). Let z(l) = -l**3 - 3*l**2 + 4. Let i be z(x). Calculate the smallest common multiple of (i/12)/((-3)/(-36)) and 11.
44
Find t... | {
"pile_set_name": "DM Mathematics"
} |
39689 to the nearest integer?
199
What is 634 to the power of 1/5, to the nearest integer?
4
What is 70583 to the power of 1/4, to the nearest integer?
16
What is the cube root of 3391 to the nearest integer?
15
What is 1037 to the power of 1/8, to the nearest integer?
2
What is the cube root of 421 to the nearest int... | {
"pile_set_name": "DM Mathematics"
} |
t(3) + (-2*sqrt(288))/sqrt(12))/(6*sqrt(64)/(sqrt(8) + (sqrt(24)/sqrt(3) - sqrt(8)))*-4))**2.
9/64
Simplify (1*((sqrt(90)/(sqrt(50)/sqrt(5)))/(-2*sqrt(3)*3) + -5))**2 + -4.
5*sqrt(3)/3 + 253/12
Simplify (-3*((sqrt(45) - sqrt(270)/sqrt(6))/sqrt(3) + sqrt(15) - (sqrt(15) - sqrt(105)/sqrt(175))))/((-5*sqrt(441))/sqrt(3)*-... | {
"pile_set_name": "DM Mathematics"
} |
rt(77)*2))/((5*sqrt(176) + (sqrt(11) - -2*sqrt(11))*-4)*5))**2.
7
Simplify (-6*sqrt(65)*-4*-4)/(sqrt(80)*3 - (sqrt(275)/sqrt(5))/sqrt(11)).
-96*sqrt(13)/11
Simplify -6*(-5 + -5*(sqrt(153) + 5*(sqrt(153) + -2) + 1 + -2*sqrt(153)))**2.
-376800 + 28800*sqrt(17)
Simplify (-4 + sqrt(180) + -2 + (sqrt(180) + -1 - sqrt(180)) ... | {
"pile_set_name": "DM Mathematics"
} |
-1. Give n(z).
-3
Suppose 4489*v = 4484*v. Let a(k) = -k**3 + k + 9. Give a(v).
9
Let w be (-6)/16*((-140)/(-90) + -2). Let k(g) be the second derivative of -w*g**3 + 2*g + 0 - 3/2*g**2. Determine k(-5).
2
Suppose 2*y - 13 = -o, -y + 3*o = -3*y + 19. Let j(x) = 5*x**2 + x + 3. Let r(m) = 14*m**2 + 4*m + 8. Let s(n) = ... | {
"pile_set_name": "DM Mathematics"
} |
1 - 3))*(-3*g + 2*g + 3*g).
-12*g
Expand -d**3 + d**3 + 3*d**3 + 3 - 3 - d**3 + 4*d**3 + 3*d**3 - 6*d**3 + (-2*d**2 + 1 - 1)*(-d + d - d) + 0*d**3 + 3*d**3 - d**3 - 3*d**3 + 8*d**3 - d**3.
11*d**3
Expand s - 3 + 0 - 1 + (0*s + s - 6*s)*(-9 + 0 + 2).
36*s - 4
Expand (0*d - 5*d + 0*d)*(-1 + 1 + d**2) + (-5*d**2 + 0*d**2... | {
"pile_set_name": "DM Mathematics"
} |
.8879 times -0.2
0.57758
What is the product of 1063496 and 1.19?
1265560.24
What is 41671748 times 2?
83343496
-0.3*-16660051
4998015.3
232390 * 0.062
14408.18
Calculate 9192353*0.4.
3676941.2
What is the product of -0.0184 and 95794?
-1762.6096
-1698.2 times 5621
-9545582.2
Multiply -0.0107 and 14760.
-157.932
What i... | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from {f: 4, b: 2, g: 10}. What is prob of picking 2 f?
1/20
Calculate prob of picking 1 y and 1 l when two letters picked without replacement from kqkkvqqkyccykyl.
1/35
Two letters picked without replacement from {s: 3, u: 5, v: 5, b: 1, t: 1}. What is prob of picking 1 u and 1 s?
1/... | {
"pile_set_name": "DM Mathematics"
} |
+ 34. Suppose -2*g = -a - 27, -3*g - 3*a - 11 = -4*g. Calculate the lowest common multiple of r and g.
14
Let g be 3/(-12) + 180/16. Let f = g + -2. What is the lowest common multiple of f and 6?
18
Let p be 2/11 + (-255)/11. Let r = -12 - p. Calculate the least common multiple of 1 and r.
11
Let f = 26 + 6. Let y be 6... | {
"pile_set_name": "DM Mathematics"
} |
uppose g + 4*q - 2 = 0, 0*g + j*q = 5*g - 10. Give h(g).
3
Let p(q) = q**3 + 5*q**2 + q + 7. Let v(g) = -g - 14. Let c(k) = k + 13. Suppose -3*j = j - 24. Let d(u) = j*c(u) + 5*v(u). Let b be d(-13). Give p(b).
2
Let x = 3 - -1. Let j(z) = -4*z - z + 3*z + 4. Give j(x).
-4
Let l(r) be the second derivative of r**3/6 - ... | {
"pile_set_name": "DM Mathematics"
} |
d derivative of s**5/20 + s**4/12 - s**3/6 + 11*s**2/2 - 7*s. What is the tens digit of z(0)?
1
Let q(k) = 23*k + 22. Let l be q(12). Suppose -8*a + l - 26 = 0. What is the units digit of a?
4
Suppose 170*z = 178*z - 3984. What is the units digit of z?
8
Let l(c) = -170*c - 696. What is the hundreds digit of l(-10)?
0
... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 6*z. Let s be x(7). Sort 3, s, 2 in descending order.
s, 3, 2
Let l = -5 + 1. Let o be (7*(-9)/63)/((-2)/(-4)). Sort 0, l, -1, o in decreasing order.
0, -1, o, l
Suppose -u - 4 = -19. Suppose -u*c + 50 = -25. Sort c, -3, -7, 0 in decreasing order.
c, 0, -3, -7
Let f be (-207)/18*-2*1. Let k = 17 - f. Let z = 2 - -... | {
"pile_set_name": "DM Mathematics"
} |
+ u + a - 84, -u + 3*a + 4 = d. Calculate the common denominator of 53/12 and u/(-12) + (-98)/(-30).
60
Let g = -339/38 - -3877/228. Calculate the common denominator of -145/3834 and g.
7668
Let t(n) = 383*n - 6518. Calculate the least common multiple of t(19) and 2024.
6072
Let j = -155 + 199. What is the lowest commo... | {
"pile_set_name": "DM Mathematics"
} |
in ascending order.
-1, 0, 4, 301
Sort 5, -460, 29.
-460, 5, 29
Put -1, -317557, -6, 3 in increasing order.
-317557, -6, -1, 3
Sort -0.1, -71, 1151 in decreasing order.
1151, -0.1, -71
Put 4, 5, -111, -4, 3 in descending order.
5, 4, 3, -4, -111
Sort 2, 217/5, -1/2, -1, 3 in increasing order.
-1, -1/2, 2, 3, 217/5
Sor... | {
"pile_set_name": "DM Mathematics"
} |
than -90?
True
Which is greater: 24901660 or 24901662?
24901662
Is 175/2198314 < -1?
False
Which is bigger: 2.0838 or -53.07?
2.0838
Which is bigger: -384349733 or -384349730?
-384349730
Which is smaller: 4105729/5 or 821147?
4105729/5
Do -503336 and -503388 have the same value?
False
Which is smaller: -434306 or -4343... | {
"pile_set_name": "DM Mathematics"
} |
3 = 4*n, 3*k = 3*n - 6*n + 228. Suppose 2*i = 15 + 27. Let p = n - i. What is the tens digit of p?
5
Let h be ((-484)/6 + 2)*3. Let r be 0 + (-4 - h)/4. What is the units digit of 1*r*5/10?
9
Let d(m) = -m**3 + 7*m**2 - 8*m - 12. Let v be d(5). Let n be ((-1 + 1)*(-1)/v)/(-1). Suppose -750 = -n*b - 6*b. What is the uni... | {
"pile_set_name": "DM Mathematics"
} |
xpand (-b + 12*b + 4*b)*(-3 + 6 - 2) - 12*b - 59 + 59.
3*b
Expand ((-6 + 2 + 2)*(1 - 4 + 1) + 0 + 0 - 2)*(196 - 123*p**3 - 196).
-246*p**3
Expand (-48*p**2 - 4*p**2 - 15*p**2)*(-5*p + 4*p + 3*p)*(2 - 3 + 2)*(-2*p**2 - 4 + 4).
268*p**5
Expand 0*f**3 - 3*f**3 + f**3 + (-f**2 + 0*f**2 + 3*f**2)*(3*f - 3*f - 2*f) + 9*f**3 ... | {
"pile_set_name": "DM Mathematics"
} |
1931, -167897, -223861, -279823, -335783, -391741?
-447697
What is next in 18, -276, -758, -1422, -2262, -3272?
-4446
What comes next: -70383, -140768, -211153, -281538, -351923, -422308?
-492693
What is next in -49858, -49861, -49864?
-49867
What comes next: -269022, -538058, -807104, -1076166, -1345250, -1614362, -18... | {
"pile_set_name": "DM Mathematics"
} |
84 = -3*l. Suppose -202 = 126*r - 3226. Let q = r - v. Solve -4*n + 5 + 3 = q for n.
2
Suppose 21 = -2*p + z + 81, -138 = -5*p + 4*z. Solve 35 = p*r + 1 for r.
1
Suppose -208*v = -196*v - 72. Solve v*o - 1381 + 1387 = 0 for o.
-1
Suppose -116*l - g = -111*l - 99, g = 3*l - 53. Solve 16*k - l = 35*k for k.
-1
Let v = -... | {
"pile_set_name": "DM Mathematics"
} |
2*z
Find the first derivative of -95*c**4 + 2*c**3 - 2629*c - 7147791.
-380*c**3 + 6*c**2 - 2629
Find the second derivative of 24*f*j**2 - 252*f*j + 67*f + 497967*j**2 - 6*j - 2 wrt j.
48*f + 995934
What is the derivative of 21045921*g**3 + 50503529 wrt g?
63137763*g**2
What is the second derivative of 47350958*r**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
2/95 - -1514/285. Which is bigger: k or 6?
6
Let i = -28 + 28. Is i >= -9/8?
True
Let c = 302/35 + -46/5. Let p = c - -6/35. Is p < -1?
False
Suppose n = -2*n - 6. Let y(g) = -2*g**2 + 1. Let h be y(1). Are h and n nonequal?
True
Let k(i) = -2*i**2 + 2*i + 2. Let d be k(2). Let n = 1 + -2. Let p be (-2 + 1 + 1)*n. Whic... | {
"pile_set_name": "DM Mathematics"
} |
1268660 = 5*t. Round w to the nearest ten thousand.
-320000
Let m = 667 - 672.308. Let h = -5.308003329 - m. What is h rounded to seven decimal places?
-0.0000033
Let i(l) = -l**2 - 38*l - 30. Let h be i(-37). Suppose -5*g = z + 81502, -2*g = -h*g + 2*z - 81496. What is g rounded to the nearest one thousand?
-16000
Le... | {
"pile_set_name": "DM Mathematics"
} |
+ 4/6. Suppose 5*o + 4*q = 45, -j*o + 45 = 3*o + 2*q. Solve -4*r - 3*l = -0*r + o, 9 = -2*r + 3*l for r.
-3
Suppose -3*n + 4 = -2*n. Let s be (-76)/(-18) - (-8)/(-36). Let q = n - s. Solve 2*v = -4*a + 1 - 3, 5*v + 5*a + 5 = q for v.
-1
Let h = -257 + 257. Solve -4*d + 4*t = 8, h = 2*d + 3*d + 4*t - 26 for d.
2
Let v(g... | {
"pile_set_name": "DM Mathematics"
} |
*(131/8)
Simplify ((y*y**1)/y)/(y**(-10)*y)*(y/(y/y**7))/(y*y**(-6)/y) assuming y is positive.
y**23
Simplify (v/v**15*v*v)/v**0 assuming v is positive.
v**(-12)
Simplify ((o**(3/7)*o)/o*o)/((o/(((o/(o*o/(o/o**(-14/5))))/o*o)/o))/o) assuming o is positive.
o**(113/35)
Simplify (z**(1/2)/(z/(z**3*z)*z))/(z/z**(-4)*z**0*... | {
"pile_set_name": "DM Mathematics"
} |
of 2*g**3*o**2 - g*o**2 + 4*g - 7*o**2 + 5*o wrt g?
6*g**2*o**2 - o**2 + 4
Find the second derivative of 4460*w**2 + 2430*w.
8920
What is the third derivative of -10*l**5 + 10*l**3 + 1003*l**2 wrt l?
-600*l**2 + 60
What is the derivative of -571*r**3 + 722 wrt r?
-1713*r**2
What is the second derivative of -281*i**5 - ... | {
"pile_set_name": "DM Mathematics"
} |
three letters picked without replacement from {w: 3, n: 1, g: 5, r: 1, z: 1}.
1/55
Two letters picked without replacement from ddsedsssdseddds. Give prob of picking 2 s.
1/7
Calculate prob of picking 2 s when two letters picked without replacement from sssssss.
1
Calculate prob of picking 1 g and 1 n when two letters ... | {
"pile_set_name": "DM Mathematics"
} |
.
7578
What is the common denominator of -49/27 and 52/3267?
3267
Find the common denominator of 57/140 and 59/60.
420
Calculate the lowest common multiple of 4 and 16.
16
Find the common denominator of -137/24 and 63/200.
600
Find the common denominator of 73/84 and 79/280.
840
Calculate the lowest common multiple of ... | {
"pile_set_name": "DM Mathematics"
} |
when 171209 is divided by 9.
2
What is the remainder when 2746 is divided by 102?
94
Calculate the remainder when 271585 is divided by 1113.
13
What is the remainder when 7396 is divided by 308?
4
Calculate the remainder when 10924 is divided by 512.
172
Calculate the remainder when 911903 is divided by 1100.
3
What i... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 3*o**2/2 - 27*o + 7. Let x be l(5). Let j = x + 62. Which is smaller: -24 or j?
j
Let c(t) = 9*t**2 - 5*t**2 - 3 - 3*t**2 + 1 + 13*t. Let w be c(-16). Let r be (1 + (-4)/3)*69/w. Which is smaller: -0.12 or r?
r
Suppose 0 = 3*w - h - 66, 0 = -4*h - 9 + 21. Suppose 0*j + j - w = s, 5*s + 3*j = -123. Which is bigger... | {
"pile_set_name": "DM Mathematics"
} |
y**2 + 0 = 0.
0, 1/2
Let t be (4 - 7) + (-9)/(-2) + -1. Let n(m) be the first derivative of -1/6*m**3 + 3/8*m**4 + 0*m - t*m**2 - 6. Solve n(o) = 0 for o.
-2/3, 0, 1
Let o(f) = f**2 - 10*f + 3. Let u be o(10). Suppose 0 = k + k - 6. Solve 7*s**4 + 39*s**u - 2*s**5 - 39*s**k - 3*s**4 = 0 for s.
0, 2
Let t = -2507/38 + 1... | {
"pile_set_name": "DM Mathematics"
} |
ce ffg when three letters picked without replacement from {u: 1, f: 2, t: 4, g: 7}?
1/156
What is prob of sequence fwfw when four letters picked without replacement from {w: 7, f: 6, l: 2}?
1/26
Four letters picked without replacement from wqqqqwwqr. Give prob of sequence rqqq.
5/252
Two letters picked without replacem... | {
"pile_set_name": "DM Mathematics"
} |
?
False
Suppose 0 = 42*a - 18433 - 128063. Does 9 divide a?
False
Let n(v) = -2*v**2 - 15*v - 21. Let t(p) = -p**2 - 7*p - 9. Let k(o) = 2*n(o) - 5*t(o). Let i(m) = -m**2 + m + 4. Let d be i(4). Does 11 divide k(d)?
False
Let m(v) = 15*v**2 + 312*v + 84. Does 98 divide m(10)?
True
Let l be 3/((-48)/116) + 3/12. Let o(y... | {
"pile_set_name": "DM Mathematics"
} |
- 808 + 31253*j + j**2 - 2*j**2 = 0.
-202, 2
Let u be (23/1863)/(2/(-12)) - (-13209)/2268. Factor u*f + 3/2 - 5/4*f**2 - f**3.
-(f - 2)*(f + 3)*(4*f + 1)/4
Factor 400*o**3 - 271*o**2 + 4040*o - 296 - 63*o**4 - 2339*o**2 - 1529 + 58*o**4.
-5*(o - 73)*(o - 5)*(o - 1)**2
Suppose -8 = 521*z - 525*z. Determine h, given tha... | {
"pile_set_name": "DM Mathematics"
} |
many millilitres are there in 17/4 of a litre?
4250
How many grams are there in 6/5 of a kilogram?
1200
What is 77700.08 millennia in centuries?
777000.8
How many kilograms are there in 39.00068ug?
0.00000003900068
How many grams are there in 678.229 micrograms?
0.000678229
How many years are there in 6/5 of a century... | {
"pile_set_name": "DM Mathematics"
} |
s picked without replacement from {f: 3, x: 2, o: 12, t: 3}. Give prob of sequence foxf.
2/1615
Calculate prob of sequence nl when two letters picked without replacement from aqaalnoaqblbnn.
3/91
What is prob of sequence xvx when three letters picked without replacement from vupxuxafxfvv?
3/220
What is prob of sequence... | {
"pile_set_name": "DM Mathematics"
} |
*m - o = -3*m + 5*g for m.
-4
Suppose h = 5*h - 12. Suppose 2*g - 7*b + 4*b = 15, 10 = -4*g - 2*b. Solve h*l + 3*r = -g*l, 4*l - 5*r - 18 = 0 for l.
2
Suppose -3*x + 7 = -11. Let r be x/4*224/(-42). Let p = r - -23. Solve -5*j - p = 5*i, i = -j + 2*i + 5 for j.
1
Let s(u) be the second derivative of u**3/6 - 9*u**2/2 +... | {
"pile_set_name": "DM Mathematics"
} |
5 - 84*o**2 - 44*o**2 wrt o.
40*o**3 - 386
Let w(f) = 152*f**3 - 22*f**2 - 10*f + 42. Suppose 4 = 2*n - 16. Let z(t) = 2*t**2 + t. Let l(s) = n*z(s) + w(s). What is the third derivative of l(d) wrt d?
912
Suppose k - 22 = 42. What is the third derivative of -p - 55*p**5 + 139*p**5 - 20*p**2 - k*p**5 + 2*p**3 wrt p?
120... | {
"pile_set_name": "DM Mathematics"
} |
- 1325*f for d.
0
Solve -10 = -3*q - 4*p - 2, -2*p + 4 = -9*q for q.
0
Solve 0 = -6*t + 5*d + 53, -2*d - 36 = 5*t - 111 for t.
13
Solve 3 = d + c, -4*d + 23 + 9 = 8*c for d.
-2
Solve -4*o - 16 = -58*w + 62*w, 0 = -3*w + 3*o + 18 for w.
1
Solve -2*y + 136 = -34*q, -5*q + 4*y + 39 - 59 = 0 for q.
-4
Solve 4*k - 20 = 0, -... | {
"pile_set_name": "DM Mathematics"
} |
- 4*b = 5*k + n for k.
-3
Let t(a) = -6*a**3 - a**2 - a - 1. Let v be (4/2)/((-6)/3). Let r be t(v). Solve -5*s - r*h = 18 - 3, -5*s + 4*h = -21 for s.
1
Let s(r) = 2*r + 7. Let w be s(-2). Solve 0 = -w*z + 3*j - 6, 3 = -2*j + 7 for z.
0
Let b(y) = 11*y**2 - 1. Let h be b(1). Let r(u) = -12*u + 2*u**2 + 7*u**2 - h*u**2... | {
"pile_set_name": "DM Mathematics"
} |
/f)**(15/8))**16 assuming f is positive.
f**120
Simplify (s/s**34*s*s**(-5))/(s/s**8*s*s**(1/6)*s) assuming s is positive.
s**(-193/6)
Simplify ((x**3)**(-15)/(x*x**(-6)*x**1/x))**(-43) assuming x is positive.
x**1720
Simplify t**(2/3)/t*t**(10/9)*(t**(1/10))**(-4/35) assuming t is positive.
t**(1207/1575)
Simplify x/(... | {
"pile_set_name": "DM Mathematics"
} |
)*c)/(c/(c*c/(c/(c**(-4)/c)))*c) assuming c is positive.
c**(42/11)
Simplify (((t/t**(22/5))/t)/t)**(2/7) assuming t is positive.
t**(-54/35)
Simplify (q*q**(1/36)*q)/q**1 assuming q is positive.
q**(37/36)
Simplify (g*g**(-13))**(1/59) assuming g is positive.
g**(-12/59)
Simplify j**6*(j/(j/(j/(j*(j/((j**(4/9)/j)/j*j)... | {
"pile_set_name": "DM Mathematics"
} |
(-6/11)*o)/(o**(1/2)*o)*(o*o**1*o)**(-15) assuming o is positive.
o**(-991/22)
Simplify (x**6/x**(-7))/(x*x**(-1/3)*x*x)**(-21) assuming x is positive.
x**69
Simplify ((c**(2/3)/c)/(c**3/c))/((c/c**(-1))/(c/c**(-4)*c)) assuming c is positive.
c**(5/3)
Simplify ((f/(f*f/(f*f**(-12/5)/f)))/f)**34 assuming f is positive.
... | {
"pile_set_name": "DM Mathematics"
} |
reatest common divisor of 976 and q.
61
Let z(w) = w**2 + 15*w - 8. Suppose 2*n = -3*d - n - 63, 3*n + 9 = 0. Let h be z(d). Calculate the highest common factor of 46 and h.
46
Suppose 2786*r = 2797*r - 847. Let y(p) = 7*p + 5. Let t be y(4). Calculate the greatest common factor of r and t.
11
Let m(d) = 2*d**2 - d + 2... | {
"pile_set_name": "DM Mathematics"
} |
et h(s) = -26*d(s) - 12*t(s). Let i(k) = -14439*k. Give h(i(j)).
28878*j
Let s(h) be the first derivative of 10*h**2 - 4881. Let b(f) = 4*f**2 - 3*f + 3*f. What is s(b(i))?
80*i**2
Let o(q) = 18*q**2. Suppose -20*w + 7*w + 728 = 0. Let j(z) = w*z - 112*z + 58*z. What is o(j(h))?
72*h**2
Let c(l) = -474*l - 290. Let k(w... | {
"pile_set_name": "DM Mathematics"
} |
*4 wrt b.
-1440*b**2
Let k(l) be the third derivative of -227*l**6/120 + 7*l**5/15 + 173*l**2. Find the third derivative of k(w) wrt w.
-1362
Let c = -25 - -30. Let t be 172/c - 3/(-5). Find the second derivative of -t - d + d**4 + 35 wrt d.
12*d**2
Let n(d) = -4*d - 6. Let g be n(-3). Find the third derivative of 29*a... | {
"pile_set_name": "DM Mathematics"
} |
cond smallest value in -0.3, 5/16, 1, -1.3, 1/2, 0?
-0.3
Which is the third biggest value? (a) -3 (b) 3/14 (c) 2.81 (d) 10/9
b
What is the fourth smallest value in -3/2, -3, -90, 4.3, -3/5?
-3/5
What is the fourth biggest value in -0.8, 313, 0.4, 16089?
-0.8
What is the second biggest value in 10/217, 6, -4/3, 138/... | {
"pile_set_name": "DM Mathematics"
} |
n**5/5 - 31*n**4/24 - 2*n**2 - 1109. What is the third derivative of m(f) wrt f?
-5562
Let o(t) be the first derivative of 4796*t**3/3 - 5*t**2/2 - 4*t + 4412. What is the second derivative of o(w) wrt w?
9592
Find the second derivative of -779*s**2 + 8503*s + 936*s**2 - 1438*s**2 - 3146*s**2 wrt s.
-8854
What is the d... | {
"pile_set_name": "DM Mathematics"
} |
t*u**3 and give i.
-8
Rearrange -9815*v + 34216*v + 3573*v to the form f*v + o and give f.
27974
Rearrange -7*f + 5*f - 4035 + 6759 + 4797 to the form p + z*f and give z.
-2
Rearrange (-312663 + 1022*a + 312663)*(3*a**2 - 10*a + 10*a) to w*a**3 + g + x*a + s*a**2 and give w.
3066
Rearrange -1604*c**2 + 11094 - 11094 t... | {
"pile_set_name": "DM Mathematics"
} |
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