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"
} |
give d.
105
Express 37 - 17 + 62*t - 19 as x*t + y and give x.
62
Express (5*c - 25*c + 10*c)*(2 + 0 - 1)*((-3 + 2 + 3)*(c + 0 + 0) + 4 - 4 + c) as q*c + h + z*c**2 and give z.
-30
Rearrange (-2 + 2 + 2*b)*(8 - 5 - 330*b - 229*b - 118*b) to w + h*b + t*b**2 and give t.
-1354
Rearrange -25*a**4 + 13 - 12 - 28*a**4 + 80... | {
"pile_set_name": "DM Mathematics"
} |
k)*(-7 + 11 - 23)*(3*k - k - 3*k)*(2 - 2 - 2) to the form y*k**3 + f*k**4 + i + z*k + n*k**2 and give f.
76
Express -23 + w**2 + 341 - 27 - 120 as g*w**2 + v + c*w and give v.
171
Express -6*j - 3*j + 7*j + (-8 + 2 - 9)*(-1 - 2*j + 1) as c*j + k and give c.
28
Rearrange (5 - 5 - 4*r - 3 - 2*r + 3 + (0*r + r + r)*(1 - 1... | {
"pile_set_name": "DM Mathematics"
} |
i = -7. What is y(a)?
15
Let o(g) = g. Let y(u) = u**2 - 6*u. Let r be y(7). Suppose 0 = -2*l + 1 + 3. Suppose 5*f - l = -r. Give o(f).
-1
Let q(y) be the second derivative of -y**5/20 + y**4/4 + y**3/6 - 2*y**2 + 17*y. Calculate q(3).
-1
Let r(q) = -3*q**2 - 26*q - 23. Let d(z) = -z**2 - 9*z - 8. Let a(v) = -11*d(v) +... | {
"pile_set_name": "DM Mathematics"
} |
-5
Express (-3 + 6 + 0)*(-4*n + 3*n + 2*n) + 3*n + 5 - 1 - 5*n in the form u + p*n and give u.
4
Rearrange -2 - 4*u**2 + u - 2*u**3 + 6*u**2 - 2*u**2 to z*u**3 + t*u + g + b*u**2 and give z.
-2
Rearrange (2 - 2 - 2*x**3)*(1 - 7 + 5) to y*x + l*x**2 + t + h*x**3 and give h.
2
Express -10*k - 366 + 366 as b*k + d and giv... | {
"pile_set_name": "DM Mathematics"
} |
27)
Simplify (x**(-13/5)/x*(x/(x**(-2)*x))/x)/(x/(x/x**(8/7))*x)**(1/9) assuming x is positive.
x**(-298/105)
Simplify ((z/(z*z*z**(-9)*z))/(z*((z/(z*((z**(-21)*z)/z)/z))/z)/z))/((z*((z*z**9)/z)/z)/((z*z**20*z)/z)) assuming z is positive.
z**(-2)
Simplify (m**3)**12*(m*(m*m**(-2/7)*m)/m)**(5/3) assuming m is positive.
... | {
"pile_set_name": "DM Mathematics"
} |
ms in 10533*g**2 + 6581*g**2 - 28318*g**2.
-11204*g**2
Collect the terms in -315*q - 51130*q + 6547*q - 11520*q.
-56418*q
Collect the terms in 3141*j**2 + 15*j - 2617 + 2617 - 3*j - 15*j.
3141*j**2 - 3*j
Collect the terms in -641*s**3 - 202*s**3 - 331*s**3 + 1980*s**3.
806*s**3
Collect the terms in -89*o**2 + 110*o**2 ... | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in 15401*w**3 + 11434*w**3 - 3005*w**3.
23830*w**3
Collect the terms in 5651*d - 2629*d + 3109*d.
6131*d
Collect the terms in 7583*v**2 + 6541*v**2 - 14126*v**2.
-2*v**2
Collect the terms in -17 + 145*v + 58 - 15 - 26.
145*v
Collect the terms in -3524*s**2 - s + 6947*s**2 - 3506*s**2.
-83*s**2 - s
Collect... | {
"pile_set_name": "DM Mathematics"
} |
+ 6*c**2 + 2. Let v(z) be the second derivative of -z**5/20 + 7*z**4/12 + z**2 + 103*z - 3. Give 5*s(k) - 4*v(k).
-k**3 + 2*k**2 + 2
Let w(j) = -j + 92 + 98 - 194. Let m(b) = -b**3 + b**2 + b + 10. Let z be m(3). Let f(i) = i + 3. Calculate z*w(u) - 6*f(u).
-u + 2
Let b(q) = -12*q - 6. Let c(i) = 11*i + 7. Suppose 0 = ... | {
"pile_set_name": "DM Mathematics"
} |
and give w.
2
Rearrange -2*j + 5*j + 140*j**3 - 3*j**2 - j - 142*j**3 to u*j**2 + m*j + x*j**3 + w and give m.
2
Rearrange f**3 - 2*f**3 + 6*f + 2*f**3 + 3*f**2 - 4*f to the form s*f + j + a*f**2 + n*f**3 and give a.
3
Rearrange (-5 + 10 + 1 + (-6 + 1 + 3)*(-2 + 0 + 0))*(-2*q + 2*q + q**2) to g + u*q + s*q**2 and give ... | {
"pile_set_name": "DM Mathematics"
} |
. Calculate q*k(t) + 6*a(t).
2*t - 1
Let h be 4/(143/65 + 2/(-10)). Let d(i) = 8*i - 6*i - i + 2*i**h - 5*i. Let c(u) = -4*u**2 + 9*u + 1. Determine 2*c(g) + 5*d(g).
2*g**2 - 2*g + 2
Let w(c) = 3*c**3 - c**2 + 4*c. Let u(o) = 4*o**3 - o**2 + 4*o. Determine -4*u(a) + 5*w(a).
-a**3 - a**2 + 4*a
Let g(d) = -15*d - 1. Let ... | {
"pile_set_name": "DM Mathematics"
} |
108494738.
2*(s - 513)**2*(s - 349)**2
Determine y, given that -2*y**2/5 - 7638*y - 686772/5 = 0.
-19077, -18
Factor 2*k**3/9 - 225854*k**2/9 + 2125455530*k/3 - 708460082.
2*(k - 56463)**2*(k - 1)/9
Factor -18*i**3 - 100704*i**2 - 67130*i - 11188.
-2*(i + 5594)*(3*i + 1)**2
Suppose 4*c**4/7 - 26540*c**3 + 2157230904*c*... | {
"pile_set_name": "DM Mathematics"
} |
/(a/a**1)*a)**(-3/8)*((a**0)**(-10))**(-24/7) assuming a is positive.
a**(29/8)
Simplify ((d*d*d**(2/23)*d*d*d**(-4)*d)/(d**(-2/49)/(d*d*d/(d/d**(-16))*d)))**36 assuming d is positive.
d**(-481680/1127)
Simplify ((m*m*m**1)**(3/10)/(m**4/(m*((m**(-1/5)/m)/m)/m)))/(m**(-3/10)*m**(-1/3))**(-28) assuming m is positive.
m*... | {
"pile_set_name": "DM Mathematics"
} |
u be ((-105)/60)/((-1)/(-4)). Let n(d) = 2*d - 11*d**3 + 3*d - 7*d**2 + 2*d. What is u*z(o) - 3*n(o)?
-2*o**3
Let c(n) = -3*n**3 - 2*n - 4. Let q(f) be the third derivative of 0*f - 1/4*f**4 - 11/6*f**3 + f**2 - 1/15*f**6 + 0 + 0*f**5. What is 11*c(y) - 4*q(y)?
-y**3 + 2*y
Let w(j) = 11*j**2 + 8*j + 2. Suppose 35 = 2*... | {
"pile_set_name": "DM Mathematics"
} |
Express 15*v**2 + 7 - 21 - 5*v**2 as l*v**2 + z*v + t and give z.
0
Express (-2*t**2 + 3*t - 3*t)*(2 - 2 + 9) + (2*t + 3*t - 4*t)*(-28 - t + 28) in the form x*t + z*t**2 + j and give x.
0
Express -11*z + 12*z**3 + 2 + 2*z + 5*z - z + 6*z in the form m + o*z**2 + x*z + g*z**3 and give g.
12
Express ((0 - 1 + 2)*(-1 + 2 ... | {
"pile_set_name": "DM Mathematics"
} |
)*(b + 9366)
Factor -4*d**2 + 1788*d + 3444472.
-4*(d - 1178)*(d + 731)
Suppose -n**3/2 + 12621*n**2/2 + 582729*n/2 - 595349/2 = 0. What is n?
-47, 1, 12667
Determine b, given that -b**2 - 9187081*b = 0.
-9187081, 0
What is d in d**3 + 3995668*d**2/5 - 1598271*d/5 - 2397402/5 = 0?
-799134, -3/5, 1
Factor 15*n**2 + 2614... | {
"pile_set_name": "DM Mathematics"
} |
-132, -95, -24, 93?
2*t**3 - t**2 + 4*t - 152
What is the g'th term of -11, -53, -129, -245, -407, -621, -893?
-g**3 - 11*g**2 - 2*g + 3
What is the h'th term of 11, 44, 97, 170, 263?
10*h**2 + 3*h - 2
What is the j'th term of -20, -46, -80, -122, -172?
-4*j**2 - 14*j - 2
What is the l'th term of -27, -6, 35, 102, 201?... | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(77))/sqrt(7))*5)**2.
-200*sqrt(11) + 4425
Simplify (1*sqrt(132)*-5 - 4*(sqrt(132) + 2*sqrt(132)))/(sqrt(84)/(sqrt(700)*-1)) + -2.
-2 + 170*sqrt(11)
Simplify (sqrt(176) + -1 + 2 - -5*(-1*sqrt(176) - sqrt(176)))**2 + -5*((sqrt(77)*2 + sqrt(77))/sqrt(7))**2*4.
-72*sqrt(11) + 12277
Simplify (1*sqrt(68)*2 + sqrt(68) +... | {
"pile_set_name": "DM Mathematics"
} |
/l))/(l**(1/6))**40 assuming l is positive.
l**(-29/3)
Simplify (r**(-1/10)/((((r**(-1/4)*r)/r)/r)/r))/(r/(r**(2/5)/r))**(-8) assuming r is positive.
r**(299/20)
Simplify q*q/(q*q*q*(q*q**2)/q*q)*q*q**(2/21) assuming q is positive.
q**(-61/21)
Simplify ((j**(-4)/j)/(j*j**10*j))**(-28) assuming j is positive.
j**476
Sim... | {
"pile_set_name": "DM Mathematics"
} |
ppose 16/11 - g*s - 4/11*s**2 + 2/11*s**3 = 0. What is s?
-2, 2
Let p(d) be the first derivative of -d**6/2 - 33*d**5/5 - 15*d**4/2 + 106*d**3 - 399*d**2/2 + 147*d + 14459. Factor p(l).
-3*(l - 1)**3*(l + 7)**2
Let n(k) = 6*k**2 + 223*k + 49. Let q(t) = 17*t**2 + 891*t + 193. Let f(b) = 9*n(b) - 2*q(b). Factor f(s).
5*... | {
"pile_set_name": "DM Mathematics"
} |
20).
0
Let c(j) = j**2 - 6*j + 11. Give c(6).
11
Let n(w) = 24*w + 91. Determine n(-3).
19
Let l(n) = 9*n**2 - 1. What is l(1)?
8
Let s(j) = -j**2 - 7*j - 8. Calculate s(-7).
-8
Let g(p) = -p**3 + 4*p**2 + 13*p - 21. What is g(6)?
-15
Let b(f) = 9*f + 1. Determine b(1).
10
Let h(z) = -2*z**3 - 12*z**2 - 13*z - 7. Calcu... | {
"pile_set_name": "DM Mathematics"
} |
4 - 5)*(2 - 2 + 2*j**5) - 352*j**5 - 761*j**5 + 63*j**5.
-1058*j**5
Expand (0*w + 3*w - 4*w)*((-w + 11*w + 6*w)*(4 - 2 - 1) - 2*w - 2*w + 5*w + 6*w - 3*w - 2*w) + (4*w**2 + 36*w**2 + 10*w**2)*(-2 + 1 - 2).
-168*w**2
Expand (-6*h + 84*h**2 - 167*h**2 + 86*h**2)*(7*h - 2*h + 5*h + (-4 + 4 + h)*(7 - 1 + 2)).
54*h**3 - 108... | {
"pile_set_name": "DM Mathematics"
} |
Simplify (sqrt(288) + (-3 + sqrt(288))**2)*-3.
-891 + 180*sqrt(2)
Simplify 6*(3 + sqrt(19)) + ((sqrt(171)*3)**2 - sqrt(171)).
3*sqrt(19) + 1557
Simplify 1*(-1 + 3*sqrt(176))**2.
-24*sqrt(11) + 1585
Simplify sqrt(26)/sqrt(50)*2.
2*sqrt(13)/5
Simplify (-2*(0 + sqrt(252)))**2.
1008
Simplify (sqrt(304) + 5 - sqrt(190)/sqrt... | {
"pile_set_name": "DM Mathematics"
} |
c**(3/5)*c**(-3/25) assuming c is positive.
c**(12/25)
Simplify p**(-5)*p**(2/11) assuming p is positive.
p**(-53/11)
Simplify (n/n**(-2))**(2/15)/(n*n*n**(-1))**(-12/11) assuming n is positive.
n**(82/55)
Simplify (y**(2/19))**1 assuming y is positive.
y**(2/19)
Simplify d**(2/3)*d/d**5*d*d*(d/(d/((d*d**1/d)/d)*d*d))... | {
"pile_set_name": "DM Mathematics"
} |
fy -3 + sqrt(13) + (1 + sqrt(13)*-2 + sqrt(13))**2 + (sqrt(208) + -1 + 3)**2.
15*sqrt(13) + 223
Simplify (4*(sqrt(88) - (sqrt(88) - -2*sqrt(88))) - sqrt(88))/(sqrt(8) - sqrt(512)*-4).
-3*sqrt(11)/11
Simplify -4*(sqrt(3) + ((sqrt(3) - (sqrt(6)/sqrt(50))**2) + sqrt(3) - sqrt(3))) - (sqrt(54)/sqrt(2)*-2)/sqrt(9).
-6*sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
0.
-1, 0, 1
Let m be 69/2*4/3. Let y be (-4)/14 + m/14. Factor y*o + 4*o**2 - 6*o**2 - o.
-2*o*(o - 1)
Let x be (4/7)/((-52)/28 - -2). Factor -2/9*b + 0 + 2/9*b**3 - 2/9*b**x + 2/9*b**2.
-2*b*(b - 1)**2*(b + 1)/9
Let h(f) be the second derivative of 0*f**2 + 1/36*f**4 - 4*f + 0*f**3 + 0. Factor h(g).
g**2/3
Suppose 2 =... | {
"pile_set_name": "DM Mathematics"
} |
erivative of -n**6/360 + 3*n**5/40 - n**4/4 + n**2. Let x(t) be the second derivative of b(t). Determine x(6).
-3
Suppose 0 = 2*s + 89 - 93. Let v(q) be the third derivative of 1/2*q**3 + 0 - q**s + 0*q + 1/6*q**4. Calculate v(-2).
-5
Let y(r) = -22*r**3 + 10*r - 8. Let b(z) = 10*z**3 - 4*z + 3. Let u(o) = -5*b(o) - 2*... | {
"pile_set_name": "DM Mathematics"
} |
*j**2*s - 357*j**2 + s wrt j?
-6*a**3*s - 5120*s - 714
What is the third derivative of 12129512*l*s**4 + 732562*l*s**2 - 3*s**2 wrt s?
291108288*l*s
Find the first derivative of 2*a**2*j**2 - 52454*a**2 - 371143*a*j**2 + a*j - 20*a + j wrt j.
4*a**2*j - 742286*a*j + a + 1
What is the third derivative of 238758*w**3*y**... | {
"pile_set_name": "DM Mathematics"
} |
18 + 818*p**3 + 825*p**3 - 1642*p**3 as f*p + q + o*p**2 + t*p**3 and give q.
-18
Rearrange 5*n + 3 - 3 + 2 - 2 - 2*n + 2*n - n + n + (-2 + 0 + 0)*(-2 + 2 - n) - n + 1 - 1 - 40*n + 2 + 11*n - 19*n to the form d*n + l and give d.
-42
Rearrange (0 + 0 - 2)*(7*t + 6*t**2 - t**2 - 9*t) to g*t**2 + b*t + r and give b.
4
Re... | {
"pile_set_name": "DM Mathematics"
} |
+ 148*b. Let z(j) = s(j) - 12*w(j). Let q(h) be the second derivative of -7*h**3/6 + h. Calculate z(q(n)).
21*n
Let t(u) = -1285*u**2. Let s(g) = -82*g. Determine s(t(b)).
105370*b**2
Let g(x) = 7*x. Let t(o) = 928*o + 111. Give g(t(q)).
6496*q + 777
Let p(q) = 2*q**2. Let v(u) be the third derivative of 0 + 0*u**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
l**2
Collect the terms in 66 - 3*c - 582 + 53.
-3*c - 463
Collect the terms in -210212*o**3 + 420438*o**3 - 210217*o**3.
9*o**3
Collect the terms in 168 - 53 - 115 - 65*s.
-65*s
Collect the terms in -219*a**3 - 825*a**2 + 2481*a**2 - 827*a**2 - 829*a**2.
-219*a**3
Collect the terms in -3 - 262*u + 1 - 310*u + 99*u.
-47... | {
"pile_set_name": "DM Mathematics"
} |
positive.
r**(-169/7)
Simplify (k**(-17)/(k*(k/(k/(k*k**(-2/19))))/k*k*k))/(k/(k**(-9)/k)*k)**(1/16) assuming k is positive.
k**(-1569/76)
Simplify o*o**(-20)*o**(-21)*o**(-29)*o**(-30) assuming o is positive.
o**(-99)
Simplify (l**(3/4))**(-2)*(l*l*l**(-2))**(-9) assuming l is positive.
l**(-3/2)
Simplify ((v**(2/5)/v... | {
"pile_set_name": "DM Mathematics"
} |
k**2 - 190*b**3*g*k**2 + 2*b**2*g**2 - b**2*g*k**2 + b*g**2*k**2 + 1192*b*g*k - 2*g**2*k**2 - 38*k wrt b.
-17004*g**2*k**2 - 1140*g*k**2
Find the second derivative of 3*b**4 + 31*b**3 + 1072*b**2 + 3635776*b wrt b.
36*b**2 + 186*b + 2144
What is the third derivative of -l**6 - 178*l**5 - l**3 + 19*l**2 + 968?
-120*l**3... | {
"pile_set_name": "DM Mathematics"
} |
ate v.
-2065
Find f such that -4*f**3 - 52*f**2 - 192*f - 144 = 0.
-6, -1
Suppose -3*n**5/11 - 7*n**4/11 + 31*n**3/11 + 47*n**2/11 - 96*n/11 - 36/11 = 0. What is n?
-3, -1/3, 2
Suppose 4*b**2 - 4*b - 24 = 0. Calculate b.
-2, 3
Let -12*m**5 - 9*m**4 + 51*m**3 + 36*m**2 - 12*m = 0. What is m?
-2, -1, 0, 1/4, 2
Factor 5*q... | {
"pile_set_name": "DM Mathematics"
} |
7*x(q).
6464*q**3
Let b(v) = 2*v**3 + v - 4. Let t(g) = 7*g**3 + 7*g - 27. Determine -35*b(u) + 5*t(u).
-35*u**3 + 5
Let b(i) = -691 - 674 + 1365 - 8*i**2. Let k(f) = f**2. Calculate -b(v) + 6*k(v).
14*v**2
Let r(l) = l + 2. Let k(d) = -4. Suppose -4*v + 5*v = -5*y - 8, 2*y - 13 = 5*v. Let m(t) = y*k(t) + r(t). Let f(c... | {
"pile_set_name": "DM Mathematics"
} |
Let u(c) be the third derivative of t(c). Find the second derivative of u(y) wrt y.
-24*y
Let a(u) be the first derivative of 10*u**7/7 - 8*u**3/3 - 11. What is the third derivative of a(o) wrt o?
1200*o**3
What is the derivative of -38 + 85 + 41*d**3 - 23 wrt d?
123*d**2
Let a(z) = -z + 1. Let n be a(-4). Suppose 0 =... | {
"pile_set_name": "DM Mathematics"
} |
*3 + 10306*m wrt m.
2400*m**3 - 6*m
What is the derivative of -4*g*s + g + 4*q*s**4 + 6*q - s**4 wrt s?
-4*g + 16*q*s**3 - 4*s**3
Find the second derivative of 18227*v**3 + 14278*v.
109362*v
Find the second derivative of -16*k**4*m + 36*k**3*m + 14*k*m - 77 wrt k.
-192*k**2*m + 216*k*m
Find the second derivative of -17... | {
"pile_set_name": "DM Mathematics"
} |
= -677 + 681. What is v(l)?
19
Let t(z) = z**3 - 9*z**2 + 4*z + 7. Let q(y) be the first derivative of y**3/3 + 18. Let w(o) = 2*q(o) + t(o). Calculate w(6).
-5
Let q(s) = s**2 - 6*s - 2. Let f = 317 - 312. What is q(f)?
-7
Let s(j) = 2*j + 0*j**2 - 3*j - 6*j**3 - 2*j**2. Let h(p) = -3*p**2 - 38*p - 25. Let v be h(-12)... | {
"pile_set_name": "DM Mathematics"
} |
**3 - o**p wrt o?
-60*o**2
Suppose 4*p - 8 = -4*k, 5*k - 2*p + 2 + 2 = 0. Let x(v) = v**3 + v**2 + v + 6. Let w be x(k). What is the third derivative of 3 + 3 + 4*n**4 - w + n**2 wrt n?
96*n
Let h be ((-3)/(-9))/(4*1/4). Let u(m) be the third derivative of 0 + 0*m - 1/24*m**4 + 2*m**2 - h*m**3. What is the first deriva... | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(19)
Simplify (2 + sqrt(468))*5 + sqrt(468) + (5 + (sqrt(468) + 0)**2 - sqrt(468)).
30*sqrt(13) + 483
Simplify (2*sqrt(245)*-1)**2 + (-2 + sqrt(5) + 0)*5.
5*sqrt(5) + 970
Simplify 6*6*(sqrt(27))**2 + -2.
970
Simplify 5*(((-2*sqrt(132))/sqrt(12))**2 - sqrt(11)).
-5*sqrt(11) + 220
Simplify sqrt(54)/sqrt(2) + sqrt(3)... | {
"pile_set_name": "DM Mathematics"
} |
- 2*w**5/15 + w**2 + 5. Let f(g) be the second derivative of o(g). Factor f(s).
2*s**2*(s - 2)**2*(s - 1)
Suppose -4 = -j + 1. Suppose 2*g**4 - j*g**4 + 2*g**2 - 2*g + 2*g**3 + g**4 = 0. What is g?
-1, 0, 1
Suppose 0 = r - 2*z + 2, r + r + 16 = z. Let y be r/28*24/(-30). Factor -2/7*c**3 + y*c + 0 + 2/7*c**2 - 2/7*c**4... | {
"pile_set_name": "DM Mathematics"
} |
p) = 79*p. Calculate d(m(f)).
6241*f**2 + 502519*f
Let d(h) = -168*h**2. Let v(q) = -1459*q**2. Give d(v(f)).
-357618408*f**4
Let p(i) = 260*i**2 + 12. Let w(n) = -n**2. What is p(w(y))?
260*y**4 + 12
Let h(s) = s**3 - 4*s**2 + 6*s - 5. Let u = 32 + -27. Let g be h(u). Let n(c) = 21*c**2 - g + 50. Let y(r) = -r. Calcul... | {
"pile_set_name": "DM Mathematics"
} |
*z wrt j?
264*j*z + 1260*z
What is the first derivative of -185*y + 1072 wrt y?
-185
What is the derivative of 25*l**2 - l - 268 wrt l?
50*l - 1
Find the second derivative of -36*s**2*x**2*y - 23*s**2*x - 2*s**2 + 2*s - 2*x*y wrt x.
-72*s**2*y
What is the first derivative of -92*n*y**2 - 8716*n - 4*y**3 wrt y?
-184*n*y... | {
"pile_set_name": "DM Mathematics"
} |
2*l
Let c(s) = -4*s - 2. Let v(t) = 5*t + 2. Suppose -n + 5*n + 14 = -2*j, 3*n = 0. Calculate j*c(k) - 6*v(k).
-2*k + 2
Let g(t) = -5*t**3 + 2*t - 2. Suppose 24 = -36*a + 48*a. Let w(h) = -15*h**3 + 7*h - 7. Give a*w(s) - 7*g(s).
5*s**3
Let i(c) = -15*c + 7*c**2 + 5*c + 8*c + 1. Let b(a) = -a**2 + a. Calculate 5*b(s) +... | {
"pile_set_name": "DM Mathematics"
} |
- 4*m**3 + 0*m**3 + (m**3 + 3*m - 3*m)*(-2 + 2 - 2) - 4 + 4 - 2*m**3.
13*m**3 + 3
Expand (2*i**3 - i**3 - 2*i**3)*(-6*i**2 - 3*i + 3*i) - 3*i**5 + i**5 + i**5 + (0 + 2*i + 0)*(0*i + i**4 + 0*i).
7*i**5
Expand (-6*v + 3*v + 2*v)*(3 - 3 - v**2) + (42 - 42 + 389*v**2)*(-v - 1 + 1).
-388*v**3
Expand (2 - 2 - 3*c)*(3338 - 3... | {
"pile_set_name": "DM Mathematics"
} |
95640*f + 7
Differentiate -134372326*w + 82192010 wrt w.
-134372326
What is the second derivative of 331*v**3*y - v**3 - 9807*v**2*y + 6*v*y - 3660*v + 243*y wrt v?
1986*v*y - 6*v - 19614*y
What is the first derivative of -5336236*d - 756578 wrt d?
-5336236
What is the third derivative of -2*z**5 - 3840970*z**4 + z**3 ... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 2*l**2 - 6*l**2).
30591*l**4
Expand (1 + 1 + 0)*(o - 3*o + 3*o)*(0 + 0 + 2 + (3 - 2 - 2)*(2 - 2 + 2) - 4 + 7 - 1 - 5 + 2 + 5) - 5*o + 3*o + 0*o + (-1 - 14 + 5)*(-144 + 26*o + 144).
-254*o
Expand (5 + 0 - 1)*(1 + 0 - 14)*(23*t + 7*t - 6*t + 21*t).
-2340*t
Expand (196 + 896 - 33 + 312)*(-7*o + 2*o + 7*o).
2742*o
Exp... | {
"pile_set_name": "DM Mathematics"
} |
j + 45/2*j**b - 75/4*j**3 + 0.
-3*j*(5*j - 3)**2/4
Let a(x) be the second derivative of -x**5/4 - 25*x**4/3 + 5*x**3/6 + 50*x**2 + 115*x. What is u in a(u) = 0?
-20, -1, 1
Let c = 41 + -19. Suppose -4*t + c = 2*h, 12 + 7 = h + 4*t. Factor 2/3*y**h + 10/9*y**2 + 0 + 4/9*y.
2*y*(y + 1)*(3*y + 2)/9
Let u(t) = t**4 + 63*t*... | {
"pile_set_name": "DM Mathematics"
} |
0*h**3 + 0*h**4 + 0*h. Calculate v(q(m)).
-20*m**4
Let o(q) = 1145802897*q**2. Let j(n) = 2*n. What is j(o(k))?
2291605794*k**2
Let g(i) = 40*i**2. Let k(c) be the first derivative of -c**4/12 - 62*c - 3. Let n(q) be the first derivative of k(q). Calculate g(n(j)).
40*j**4
Let v(u) = -2665*u. Let k(y) = 3*y**2 - 168. W... | {
"pile_set_name": "DM Mathematics"
} |
(1 - 2 - 1)*(-d - d + 3*d) + 0*d - 3*d - 3*d.
-40*d
Expand -7*z**2 - 2*z**3 + 7*z**2 + (-z**3 - 2*z**3 + 4*z**3)*(15 - 34 - 23).
-44*z**3
Expand (3 + 0 + 0)*(2*x - 3*x + 2*x) + x + x - 4*x + 20*x + 32*x - 12*x.
41*x
Expand (-f**2 + 3*f**2 - 3*f**2)*(-f - 4*f + 3*f + (-51*f + 106*f + 4 - 51*f)*(3 - 1 - 4)*(2 + 1 - 5)).
... | {
"pile_set_name": "DM Mathematics"
} |
p**2 - 20*p - 20. Give d*u(v) + j*m(v).
-4*v**3
Let z(f) = 736*f**2 - 828*f + 138. Let g(y) = y**2 + 6*y - 1. Determine -138*g(w) - z(w).
-874*w**2
Let z(v) = -5*v**3 + 3*v**3 + 4*v**3 - 5. Let w(m) = -m**3 + 2. Let u(d) = 2*d + 17. Let b be u(-8). Suppose -5*h + b + 9 = 0. Calculate h*z(i) + 5*w(i).
-i**3
Let c(u) = -... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 7*p**2 - 11*p**2)*(3*p - 1 - 4*p - 2*p) to w + c*p**3 + g*p**2 + a*p and give c.
39
Rearrange -28 + 29 + 38*d + d to q*d + g and give q.
39
Rearrange -14*f - 19*f - 16*f + 5 + 45*f to j + m*f and give m.
-4
Express -14 + 35*k - 60*k - 3*k**2 + 25*k as c*k + j + f*k**2 and give f.
-3
Rearrange 4*o**2 - 2*o**2 + 9 ... | {
"pile_set_name": "DM Mathematics"
} |
g(o) - w(o)?
4*o**3 - 15*o**2 + o + 1
Let z(t) = 144*t**2 - 27. Let h(s) be the second derivative of s**2 - 93*s - 11/12*s**4 + 0*s**3 + 2. Calculate 27*h(p) + 2*z(p).
-9*p**2
Let r(c) = -62*c + 2. Let j(k) = 170*k - 7. Give 6*j(v) + 17*r(v).
-34*v - 8
Let y(l) = -3*l**2 + 5 - 6*l**2 - 8*l + 3 - l**3. Let d be y(-8). L... | {
"pile_set_name": "DM Mathematics"
} |
-144 + 146. Find z, given that -15*z**2 + 17*z**k - 4*z - z**4 + 1 + 4*z**3 - 5*z**2 + 3 = 0.
-1, 1, 2
Let z = 143 - 141. Let s be z/(-13) - 3*(-20)/390. Solve 3/4*g + s + 9/4*g**3 - 3*g**2 = 0 for g.
0, 1/3, 1
Let n(h) = -10*h**2 - 315*h + 325. Let x = 280 - 283. Let k(j) = -5*j**2 - 157*j + 162. Let b(d) = x*n(d) + 5... | {
"pile_set_name": "DM Mathematics"
} |
*5/60 + 9*t**4/8 - 37*t**3/6 + 2330*t**2. What is j(-28)?
-9
Let n(p) = -17*p + 9. Let w(k) be the third derivative of -5*k**4/12 + 5*k**3/6 + 12*k**2 + 3*k. Let z(r) = 3*n(r) - 5*w(r). What is z(-7)?
9
Let c(o) = -5*o - 16. Let t(z) = 2*z + 6. Let p = -320 + 323. Let j(q) = p*c(q) + 8*t(q). Give j(3).
3
Let g(s) = s**... | {
"pile_set_name": "DM Mathematics"
} |
en that 3*f**4 + 78*f**3 + 756*f**2 + 3234*f + 5145 = 0.
-7, -5
Find z such that z**5/5 - 2*z**4 + 23*z**3/5 + 2*z**2 - 24*z/5 = 0.
-1, 0, 1, 4, 6
Find u such that -2*u**3 + 876*u**2 + 1758*u + 880 = 0.
-1, 440
Find l, given that l**4/2 + l**3/2 - 29*l**2 - 56*l = 0.
-7, -2, 0, 8
Solve y**5 + 11*y**4 + 38*y**3 + 52*y**... | {
"pile_set_name": "DM Mathematics"
} |
54*v**3/3 + 3300*v**2. What is the derivative of i(j) wrt j?
-3294
Suppose 98*w - 8*w = 0. Let v(j) be the second derivative of -13*j**2 + 0*j**3 + 0*j**4 + 10*j + 1/10*j**5 + w. What is the first derivative of v(g) wrt g?
6*g**2
What is the third derivative of 2*q + 4*q**2 + 2713*q**6 - 2*q**2 - 218*q**6 - 36*q - 28*q... | {
"pile_set_name": "DM Mathematics"
} |
**3) to i*d**2 + c*d**3 + l + n*d and give c.
834
Rearrange -12776*u + 12776*u - 1506 - 2*u**3 - 1196 to the form d + w*u**2 + p*u**3 + o*u and give w.
0
Express -7 - 2*d + 339*d**4 - 76*d**4 + 14*d**2 - 270*d**4 in the form z*d**4 + s*d**3 + t*d + a*d**2 + u and give u.
-7
Rearrange -109 - 32*j - 4*j + 18 - 3 to the f... | {
"pile_set_name": "DM Mathematics"
} |
plify 2 + -4 + (5 + sqrt(320) - (sqrt(5) + 2*sqrt(40)/sqrt(8)) - (-2 + 2 + 1 + sqrt(5) + ((sqrt(220)/sqrt(4))/sqrt(11))**2)).
-3 + 4*sqrt(5)
Simplify (5*(2*sqrt(76)*1 + 5*sqrt(76)*2))/(((sqrt(264)*-2)/sqrt(6))/(sqrt(176)*-5)).
600*sqrt(19)
Simplify -1 + (0 + -1 + sqrt(147))**2 + -1 + -5 + -6*(sqrt(147)*-1)**2 + 3.
-738... | {
"pile_set_name": "DM Mathematics"
} |
(389/30)
Simplify (w**(-11)/(((w/w**(-18))/w)/w))/(w/(w/(w/(w*w*w**5))))**(5/7) assuming w is positive.
w**(-166/7)
Simplify (h**(-14))**(-11)*(h*h**(-4/11)/h)**(-6) assuming h is positive.
h**(1718/11)
Simplify ((z**(-2/5)/z)**(-3/4)/(((z*z*z*z*z**0*z)/z)/z)**(-46))**4 assuming z is positive.
z**(2781/5)
Simplify ((a*... | {
"pile_set_name": "DM Mathematics"
} |
) = -1105*u. Determine -6*b(g) + 289*c(g).
-17*g
Let k(d) be the second derivative of -d**4/12 - d**3/6 - 2*d. Let v(u) = 0*u**3 - u**2 + 3*u - 4*u + u**3. Calculate 2*k(x) - v(x).
-x**3 - x**2 - x
Let c(h) = 3*h - 5. Let q(p) = -3*p + 6. What is 6*c(b) + 5*q(b)?
3*b
Let b = 68 + -61. Let i(g) = -10*g + 6. Let t(p) = -... | {
"pile_set_name": "DM Mathematics"
} |
e of v(p). What is the third derivative of n(b) wrt b?
96*b
Let s(a) = 12*a**2 - 2*a + 1. Let j be s(1). What is the second derivative of b - j - 10*b**2 + 11 wrt b?
-20
Let r be 436/(-6)*(-15)/10. What is the third derivative of -r*i**2 + 5*i**5 + i**5 + 114*i**2 wrt i?
360*i**2
Let f(q) = q**3 - 4*q**2 + q + 3. Let g... | {
"pile_set_name": "DM Mathematics"
} |
s and give g.
-32
Express 365*u - 364*u + 0 + 6 + 4801*u**2 - 4 + 849*u**2 in the form f*u + q + j*u**2 and give q.
2
Rearrange -8 - 98 + 65*p + 16 - 2 - 15*p to w*p + k and give k.
-92
Express 573*z**3 + 2*z**2 + 7 - 509*z**3 + z - 2*z**2 in the form c*z**3 + g*z + u + b*z**2 and give g.
1
Rearrange (3 + 2 - 6 + (-1 +... | {
"pile_set_name": "DM Mathematics"
} |
*(-48)
Simplify (k**3/k*k/k**(-2/9))**30/((k*k/(k/(k**(1/7)*k)*k)*k**(1/3))/(k**(-1/4))**(-23)) assuming k is positive.
k**(8479/84)
Simplify (((c**19*c/(c**(-1/30)*c))**(-1/13))**(2/3))**(-8) assuming c is positive.
c**(4568/585)
Simplify (h**(-9/2)/(h/((h**(2/15)*h)/h*h*h))*(h/(h/(h*h**(-2/7))*h))**(-4/21))**26 assum... | {
"pile_set_name": "DM Mathematics"
} |
*6/360 + c**3/6 + 2*c**2. Let u(k) be the first derivative of v(k). Find the third derivative of u(n) wrt n.
120*n**2
Suppose 7*p + 5 - 5 = 0. Let d(l) be the second derivative of 0 + 2*l + 1/6*l**3 + 0*l**4 - 1/5*l**5 + p*l**2. Find the second derivative of d(v) wrt v.
-24*v
Let c(b) = -48*b + 21. Suppose -l - 10 = -6... | {
"pile_set_name": "DM Mathematics"
} |
90. Give d(-49).
6
Let g(f) = 12686*f - 12696. What is g(1)?
-10
Let y(j) = 1509*j + 48295. Give y(-32).
7
Let t(p) = 61*p**2 + 1066*p + 58. Calculate t(-16).
-1382
Let k(h) = 3*h**3 - 250*h**2 + 125*h - 3505. Give k(83).
-19
Let l(q) = -q**2 + 274*q - 4066. Calculate l(259).
-181
Let r(z) = 2*z**3 - 67*z**2 + 85*z + 4... | {
"pile_set_name": "DM Mathematics"
} |
15
Let t = -1 + 5/4. Let u be 84/(-12) + (-1 - -9) - (-9)/(-12). Factor -u*x - t*x**2 + 0.
-x*(x + 1)/4
Let j = -94739/4368 + 282/13. Let d(f) be the third derivative of -5*f**2 + 0*f**4 - 1/105*f**7 + 0 + 0*f**3 + 0*f**5 + j*f**8 + 0*f + 1/120*f**6. Factor d(p).
p**3*(p - 1)**2
Suppose -74*s - 3 = -75*s. Let -4*y - 4*... | {
"pile_set_name": "DM Mathematics"
} |
/7) assuming q is positive.
q**(-1644/287)
Simplify ((g**14*g*g**(-6/5))**(10/7))**42 assuming g is positive.
g**828
Simplify (s**(-17)/s*s**0)/(((s/s**16)/s)/s)**32 assuming s is positive.
s**526
Simplify (c*(c/c**(-7))/c*c)**(-2/3)*c**(-1/4)*c**(-2) assuming c is positive.
c**(-33/4)
Simplify ((d/(d*d**(-9/5)))/(d**9... | {
"pile_set_name": "DM Mathematics"
} |
y*a and give g.
18
Express -2*y**2 + 0*y**3 - y**3 + 105 - 103 as p*y**2 + b + o*y**3 + g*y and give b.
2
Rearrange -2*i**4 + 13*i**2 - 4*i - 192 + 191 + 2*i to the form s*i**3 + d + k*i**4 + b*i**2 + v*i and give b.
13
Express (4*t - 4*t + t**2)*(3*t - t - t)*(-5 + 6 + 10) in the form o*t**2 + k + h*t**3 + v*t and giv... | {
"pile_set_name": "DM Mathematics"
} |
0
Let s(g) = -g**2 - 6*g - 19. Let z(y) = y**2 + 6*y + 19. Let m(i) = 5*s(i) + 6*z(i). What is the units digit of m(-16)?
9
Suppose 11*a - 6 = 8*a. Let w(l) = -15 - l**a - 21 + 34 + 18*l. What is the units digit of w(14)?
4
Let x(f) = f**3 + 5*f**2 + 5*f + 11. Let l(k) = -2*k**3 - 4*k**2 - 6*k - 12. Let d(r) = 2*l(r) ... | {
"pile_set_name": "DM Mathematics"
} |
l)*(1 + 0 - 2) + 2*l + 7*l - 8*l + 3*l + 0*l - l.
4*l
Expand (2*v + 0*v - v)*(-1 - 1 + 4) - 2 - 3 + 4 + v.
3*v - 1
Expand (9 - 7 - 5)*(0*q + q - 2*q).
3*q
Expand -7*y**3 - 10*y**5 + 7*y**3 + (y + 2*y**4 - y)*(-7*y + 12 - 12).
-24*y**5
Expand (0*v + 3*v - 4*v)*(-174 + 174 + 51*v).
-51*v**2
Expand (-4 + 1 + 4)*(0 - 1 + 3... | {
"pile_set_name": "DM Mathematics"
} |
+ 25*g*j**2 - 2*j**2*o**2 + 2*j**2 wrt g.
-f*j**2*o**2 + 3*f*j + 25*j**2
What is the third derivative of 1590*r**3 - 1000*r**2 wrt r?
9540
What is the second derivative of -77*u**3*x - 2*u**2*x - 5*u*x + 28*x + 1 wrt u?
-462*u*x - 4*x
What is the second derivative of -39*v**5 - 342*v**2 - 15404*v?
-780*v**3 - 684
What... | {
"pile_set_name": "DM Mathematics"
} |
t(z(s))?
-18*s
Let q(z) = -7*z. Let g(m) = -85*m**2 + 11*m - 39*m + 12*m + 16*m. Determine g(q(i)).
-4165*i**2
Let c(o) be the first derivative of o**5/15 + 14*o**3/3 + 14. Let a(p) be the third derivative of c(p). Let s(x) = x**2. Determine s(a(f)).
64*f**2
Let c(m) = -5*m. Let k(j) = -2*j**2 - 26949*j. What is c(k(z... | {
"pile_set_name": "DM Mathematics"
} |
4*t
What is the p'th term of -38, -76, -102, -110, -94, -48?
p**3 - 45*p + 6
What is the s'th term of 223, 223, 213, 187, 139, 63?
-s**3 + s**2 + 4*s + 219
What is the k'th term of 9, 24, 51, 90, 141, 204, 279?
6*k**2 - 3*k + 6
What is the y'th term of -21, -19, -7, 21, 71, 149, 261?
y**3 - y**2 - 2*y - 19
What is the... | {
"pile_set_name": "DM Mathematics"
} |
= 38 - 37. Differentiate 2 + 6*l**3 + 7*l**3 + r with respect to l.
39*l**2
Find the third derivative of 76804 - 372*x**2 - 76804 - 179*x**6 wrt x.
-21480*x**3
Let y(s) be the first derivative of -s**6/3 + 163*s**4/4 + 201*s**2/2 + 49. Find the second derivative of y(p) wrt p.
-40*p**3 + 978*p
Differentiate -10*m + 10... | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of -1678*x**4 + x + 472 wrt x.
-20136*x**2
Differentiate -247*b**3*c**3*j - 3*b**3*c**3 + 12*b**2*c**3 - b*c**3*j + 1 with respect to j.
-247*b**3*c**3 - b*c**3
Find the second derivative of a**4*n + 2*a**4 + 2148*a**2 + 2*a*n + a - 414*n wrt a.
12*a**2*n + 24*a**2 + 4296
Find the second derivativ... | {
"pile_set_name": "DM Mathematics"
} |
d**2
Let y(o) = -14673*o. Let i(u) = -6*u. What is i(y(m))?
88038*m
Let a(t) = -t. Let j(u) = 1. Let k(i) = 3*i + 5. Let l = -1 - -27. Let r = l + -11. Let y(f) = r*j(f) - 3*k(f). Determine a(y(h)).
9*h
Let y = 57 - 55. Let u(v) = -6*v + 9*v**2 - 11*v**y + 6*v. Let f(k) = -3*k. Calculate u(f(x)).
-18*x**2
Let v(q) = 3 ... | {
"pile_set_name": "DM Mathematics"
} |
s in -5*j**3 + j**3 - j**2 + 8*j**3 + 5*j**2.
4*j**3 + 4*j**2
Collect the terms in 9*i**2 + 18*i**2 + 8*i**2 + i**3 - 34*i**2.
i**3 + i**2
Collect the terms in -41 - s + 0*s + 28 - 54.
-s - 67
Collect the terms in 63*f + 139*f - 99*f + 188*f.
291*f
Collect the terms in 0*u**3 + 3*u**3 + 11041*u - 11041*u.
3*u**3
Collec... | {
"pile_set_name": "DM Mathematics"
} |
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