text stringlengths 1.4k 8.19k | meta dict |
|---|---|
ms in 72*z + 56*z + 10*z.
138*z
Collect the terms in 142*o + 140*o + 132*o - 684*o + 133*o + 138*o.
o
Collect the terms in 112*b**2 - 14 - 58*b**2 - 56*b**2 + 14.
-2*b**2
Collect the terms in -85145 + 10*t**3 + 12*t**3 + 85145.
22*t**3
Collect the terms in -3*g - 18*g**2 + 2346 + 2348 - 4694.
-18*g**2 - 3*g
Collect the... | {
"pile_set_name": "DM Mathematics"
} |
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q).
q**3
Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b).
-b**3 + 2*b - 1
Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) -... | {
"pile_set_name": "DM Mathematics"
} |
e h = 4*l + 4*y - 146, 239 = 3*l - y. Is l a prime number?
True
Let a(c) = 7*c**3 - 16*c**2 - 9*c + 115. Is a(11) composite?
True
Let j(b) = b**3 - b**2 + 3*b + 1. Let o(y) = -y**2. Let a(l) = j(l) + 2*o(l). Let v be a(5). Suppose -v = -n - n. Is n a composite number?
True
Suppose -5*d + t + 590312 = 0, -4*t - 115288 =... | {
"pile_set_name": "DM Mathematics"
} |
*((c*c**(5/4)*c)/(c*c**(-12)/c))**(-11) assuming c is positive.
c**(-7577/28)
Simplify (v/v**0)**(-1/6)/(v**(-1/4))**(34/5)*v*(v/((v**(1/5)*v*v*v)/v))/v*v*(v/(v/(v**(2/13)/v)))/v*v**(-8)/((v*v**6*v)/v*v*v*v) assuming v is positive.
v**(-722/39)
Simplify ((z*z*z**(-2/7))**(-28))**(-5/2)*(z**0)**39*(z/(z/((z/(z*z**(-3/2)... | {
"pile_set_name": "DM Mathematics"
} |
863*n**3 + 24773*n.
-227178*n
Find the second derivative of 3*m**5 - 12111*m**3 + 6*m - 1425.
60*m**3 - 72666*m
What is the second derivative of -40*i**4*j + i**4 + 432*i**3 - 73*i*j + 9*i - 2*j - 1 wrt i?
-480*i**2*j + 12*i**2 + 2592*i
What is the third derivative of 381*w**6 + w**5 + 54*w**3 + 3*w**2 + 307*w wrt w?
4... | {
"pile_set_name": "DM Mathematics"
} |
at is the derivative of n(o) wrt o?
-2007
What is the third derivative of 854*p**2 - 5 + 8 - 1319*p**4 - 920*p**2 wrt p?
-31656*p
Let q be (2/15*6)/((-22)/(-715)). What is the second derivative of -q*o**2 - 91*o**3 + 26*o + 2 + 186*o**3 - 98*o**3 wrt o?
-18*o - 52
Find the second derivative of -833*h + 176*h - 267*h + ... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(153)/(sqrt(45)/sqrt(5)))**2).
3
Simplify -2*-5*(4 + (sqrt(300) + 5)**2).
1000*sqrt(3) + 3290
Simplify 2*((4*sqrt(3))**2 + -4 + sqrt(108)*-3).
-36*sqrt(3) + 88
Simplify 4 + (-2 + 6*(sqrt(1872) - (sqrt(1872) + -2 + sqrt(1872))))**2.
-1440*sqrt(13) + 67496
Simplify (((sqrt(352)*2 + sqrt(352))/sqrt(8))/sqrt(144) + 0)*... | {
"pile_set_name": "DM Mathematics"
} |
he form o*p**4 + k*p**2 + m + i*p + l*p**3 and give l.
0
Express 2 - 1 + 2*g - 2*g**3 - 462*g**2 + 0 + g**4 + 460*g**2 as k*g**4 + t*g + q*g**2 + c*g**3 + m and give m.
1
Rearrange 797*b**4 - 798*b**4 + 4*b**3 - 4 + 3*b**3 + 2*b**2 - b**2 to the form r*b**3 + c*b**2 + k*b + j + s*b**4 and give s.
-1
Express 0*i**4 + 11... | {
"pile_set_name": "DM Mathematics"
} |
rms in -10*h**2 + 8*h**2 - 133383*h + 133383*h + 6*h**2.
4*h**2
Collect the terms in -2845*n**3 - 4194*n**3 - 4205*n**3 + 11243*n**3.
-n**3
Collect the terms in 2 + 4422*h**2 + 7365*h**2 + 8*h**3 - 2.
8*h**3 + 11787*h**2
Collect the terms in -33919*s + 5650*s + 5652*s + 5657*s + 5632*s + 5661*s + 5655*s.
-12*s
Collect ... | {
"pile_set_name": "DM Mathematics"
} |
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h).
-4*h**2
Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x).
-x - 2
Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)?
... | {
"pile_set_name": "DM Mathematics"
} |
Simplify (((z**9/z)/z**(-17))**(4/5))**21 assuming z is positive.
z**420
Simplify (a*(a*a**8)/a*a**(1/9))/(((a*(a**(-11)*a)/a*a)/a)/a**5) assuming a is positive.
a**(217/9)
Simplify (u/(u/(u/((u/(u/(u*u/(u*u*u**(-2)*u))))/u))*u))**(-4)/((u**11*u)/u**(2/23)) assuming u is positive.
u**(-274/23)
Simplify ((z*z**(-18)/z)... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*t) - 4*t**4 - t**4 + 3*t**4 as m + d*t**3 + o*t**4 + x*t**2 + l*t and give d.
0
Express 154*u - 242*u + 1 + 1 - 2 in the form o*u + w and give w.
0
Rearrange -3 + 171*x**2 + 3 + 8 - 169*x**2 - x + 1 to h + f*x**2 + o*x and give h.
9
Express -2*d**3 + d**2 + 11 - 8 - 4 - 12*d**4 + 7*d**4 as k + s*d**3 + t*d + i*d**2... | {
"pile_set_name": "DM Mathematics"
} |
t m(o) = -9*o**3 - 2*o**2. Let p(w) = 69*w - 347. Let i be p(5). Let y(f) = -91*f**3 - 21*f**2. Determine i*y(b) + 21*m(b).
-7*b**3
Let y(m) = m**2 + 2*m + 22. Let o(q) = -q - 3. What is 14*o(r) + 2*y(r)?
2*r**2 - 10*r + 2
Let w(c) = -7*c**3 + 5*c**2 - 45*c + 30. Let z(j) = j**3 - j**2 - 5. What is -w(f) - 6*z(f)?
f**3... | {
"pile_set_name": "DM Mathematics"
} |
ve of 0*k**3 + 0 - 2*k + 1/126*k**7 + 0*k**2 - 1/30*k**6 + 0*k**5 + 1/9*k**4. Factor y(x).
x**2*(x - 2)**2*(x + 1)/3
Let y(k) be the first derivative of -k**5/25 + k**4/20 + 3. Determine f, given that y(f) = 0.
0, 1
Factor 9/5*y**4 + 9/5*y**3 + 0*y + 3/5*y**5 + 0 + 3/5*y**2.
3*y**2*(y + 1)**3/5
Let j(v) = -v**2 - v + 1... | {
"pile_set_name": "DM Mathematics"
} |
4/5) assuming d is positive.
d**(288/115)
Simplify (c**6*(c/(c**(3/4)*c*c*c))/c*(c**5/c)/(c**(2/13)/c))**(-5) assuming c is positive.
c**(-1845/52)
Simplify (o/o**(-3/2))**15/((o**(3/2)*o)/((o/o**6)/o)) assuming o is positive.
o**29
Simplify ((s**(3/8)*s/(s**(1/7)/s))**(2/27))**(-26/5) assuming s is positive.
s**(-325/... | {
"pile_set_name": "DM Mathematics"
} |
- 15.
2*m - 30
Collect the terms in 34*a - 62*a - 76*a.
-104*a
Collect the terms in 11*h - 25*h + 13*h + 11*h.
10*h
Collect the terms in 267*p - 803*p + 2*p**3 + 267*p + 269*p.
2*p**3
Collect the terms in -29*i - 20*i - 25*i + 122*i - 33*i.
15*i
Collect the terms in -3*m**3 + 910*m**2 - 910*m**2.
-3*m**3
Collect the te... | {
"pile_set_name": "DM Mathematics"
} |
f - 1. Let b(s) = -2*j(s) + 7*z(s). What is the second derivative of b(w) wrt w?
200
What is the second derivative of -3 - 1 + 7*a**3 + 4*a**3 + 59*a + 4 - 3*a**2 wrt a?
66*a - 6
Let t(g) = -2912*g**3 + 6*g**2 - 20*g - 9. Let d(n) = 728*n**3 - 2*n**2 + 5*n + 2. Let f(i) = -9*d(i) - 2*t(i). What is the third derivative ... | {
"pile_set_name": "DM Mathematics"
} |
2 - 123*h**3 + 191*h**3 - 1257 + 631.
-2*h**3 - 1218
Collect the terms in 5102470*k - 578*k**2 - 5102470*k.
-578*k**2
Collect the terms in 1346 - 3103*o + 1356 - 2702.
-3103*o
Collect the terms in -3977336314 + 3977336314 + 84*f.
84*f
Collect the terms in -5*y**2 + 5*y**2 + 1089579*y**3 + 350496*y**3.
1440075*y**3
Coll... | {
"pile_set_name": "DM Mathematics"
} |
+ d**2) - 519 + 519 + 5*d**2.
4*d**2
Expand (-1 - 2 + 0 + (1 - 4 + 4)*(-2 - 3 + 4))*(158 - 158 + 136*c).
-544*c
Expand (-43*k + 4 - 1 + 46*k)*(4*k**2 + 0*k**2 - 3*k**2)*(-k + 3*k + 3*k).
15*k**4 + 15*k**3
Expand 5*s**5 + 2 - 2 + (-s**5 - 2*s**5 + 2*s**5)*(0 - 3 + 4) + 0*s + 0*s - s**5 - 5*s**5 + 6*s**5 - 3*s**5.
s**5
E... | {
"pile_set_name": "DM Mathematics"
} |
= 4*x - 1. Let l(u) = -6*d(u) - 2*g(u). Let o(z) = -8*z + 8. Let c(h) = 9*l(h) - 2*o(h). Differentiate c(n) wrt n.
-2
Find the third derivative of 76 + 20*x**3 + 17*x**2 - 76 wrt x.
120
Let c(w) be the second derivative of -5*w**4/12 - w**3 + 5*w. Find the second derivative of c(u) wrt u.
-10
Let m be (5/4)/((-2)/(-8)... | {
"pile_set_name": "DM Mathematics"
} |
d (-t + 0*t - 2*t)*(-2*t**2 - t**2 + 4*t**2) + (-4 - 4 + 5)*(t**3 + 2*t**3 - t**3) + 2*t**3 - 12*t**3 - 9*t**3 + t**2.
-28*t**3 + t**2
Expand ((3 + 3 - 4)*(2 + 2*q - 2) + (-6*q + 4*q - q)*(2 - 1 - 15))*(-3 + 1 + 1).
-46*q
Expand 3*d**5 - 5*d**5 + 0*d**5 - 9*d**4 + 9*d**4 - 25*d**5 + (1 + 0 + 2)*(4*d**5 - d**5 - 2*d**5)... | {
"pile_set_name": "DM Mathematics"
} |
1)/3
Suppose -4 = -n + 2. Let m = -4 + n. Factor -c**2 + 3*c**2 + m + 0*c**2 + 4*c.
2*(c + 1)**2
Let a be (-74)/45 - (0 - 2). Let o(w) be the second derivative of -8/15*w**5 - 1/18*w**4 + 0 + 1/9*w**3 - 2*w + 0*w**2 + a*w**6. Find y, given that o(y) = 0.
-1/4, 0, 1/4, 1
Factor 56/5*l**2 + 3/5*l**4 + 0 + 16/5*l + 5*l**3... | {
"pile_set_name": "DM Mathematics"
} |
- 4*t**4 + 2*t**4. Let i(g) = -7*g**4 + 5*g - 7. Let y(l) = 5*b(l) + 2*i(l). What is the first derivative of y(h) wrt h?
4*h**3
Suppose 2*t = -t. Suppose -2*z = g + z - 8, -3*g + 4*z - 2 = t. What is the second derivative of 2*s**3 + g*s - 2*s**3 - 2*s**4 wrt s?
-24*s**2
Let j(r) be the first derivative of 6*r**5/5 + 3... | {
"pile_set_name": "DM Mathematics"
} |
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