text stringlengths 1.4k 8.19k | meta dict |
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0) + (11*c + 1062 - 1062)*(-2*c**2 - c + c).
-23*c**3
Expand (-5*h + 2*h + 4*h)*(-3 - 2 + 0).
-5*h
Expand (-6 - 2 + 2)*(-4*m**4 - 2*m**4 + 3*m**4) + 0*m**4 + 0*m**4 + m**4.
19*m**4
Expand (-2 + 2 - 1)*(4*d - 4*d - d)*(-11 + 11 - 4*d).
-4*d**2
Expand (c**2 + 0*c**2 - 3*c**2)*(4*c**3 - c**3 - 4*c**3) + 4*c**5 + 0*c**5 - ... | {
"pile_set_name": "DM Mathematics"
} |
at is the first derivative of -45661*z - 20854?
-45661
What is the second derivative of -1364558*a**2 - 2*a + 9343?
-2729116
Find the third derivative of -10*a**5 - 3265*a**4 + 2*a**3 + 227697*a**2.
-600*a**2 - 78360*a + 12
What is the second derivative of 1078*d**5 - 2*d**3 + 23*d**2 - 2*d - 704679 wrt d?
21560*d**3 -... | {
"pile_set_name": "DM Mathematics"
} |
7*d**2 + 10*d**4 + 234/7*d**3 - 2/7*d**5 = 0.
-3, -2, 1, 38
Let j(p) = p**2 + 3*p - 61. Let n be j(-10). Suppose 0 = 3*k + 7*u - 4*u - 12, n = 2*k + 3*u. Let 0 + 0*g + g**2 - 3/2*g**k = 0. What is g?
0, 2/3
Let s be 7690/(-3076)*44/(-10). Suppose 29/3*p**2 - s*p**3 - 3 - 40/3*p**4 + 17/3*p - 4/3*p**5 = 0. What is p?
-9... | {
"pile_set_name": "DM Mathematics"
} |
- 4 = b - 2*c. Let g(r) = r**2 - 5*r + 2. Calculate g(b).
8
Let d(q) = -q**2 - 13*q - 26. Suppose -56*w = -61*w - 3*i - 25, 2*i + 6 = 2*w. Determine d(w).
-4
Let i(l) = l**2 + 2*l + 3. Let j = 54 + -50. Suppose 4*d - 62 = 4*a - 10, 0 = -j*d - 3*a + 52. Suppose 0 = -2*r + 9 - d. Give i(r).
3
Let g(b) = -85*b**2 + 44*b**... | {
"pile_set_name": "DM Mathematics"
} |
pand (-2*y**2 - 5*y**2 + 4*y**2 + 23)*(-4*y**2 + 2*y**2 + 4*y**2).
-6*y**4 + 46*y**2
Expand (-3 + 2 + 4 - 2 + 1 - 1 + (0 + 1 - 2)*(5 - 3 - 3) - 3 + 0 + 1 + 4 - 1 - 1 + 4 - 3 + 2)*(3*c**2 + c**2 - 3*c**2)*(41*c - 24*c**3 - 41*c).
-120*c**5
Expand (j**2 - 7*j**2 + 0*j**2 + (3 + 2 - 6)*(-3*j**2 - 3*j**2 + 7*j**2))*(-9*j**... | {
"pile_set_name": "DM Mathematics"
} |
*3 + 0*i**3.
4*i**3
Expand (0 + 0 + 2*z)*(5 + z - 5) + (2*z - 2 + 2)*(-1 + 2*z + 1).
6*z**2
Expand (-4 + 2 + 0)*(h**2 - 2*h**2 + 6*h**2) + (0 - 3 + 0)*(4*h**2 - h + h).
-22*h**2
Expand ((-1 + 1 - q)*(-1 + 0 + 2) - 5 + 5 + 3*q - 2*q + q + 3*q)*(-5*q**2 + 3*q**2 + 3*q**2).
4*q**3
Expand 3*n - 3*n + 2*n + (5 + 2 - 3)*(0*n... | {
"pile_set_name": "DM Mathematics"
} |
ative of -4*g**5 - 745*g**4/4 + 20*g**3/3 + 745*g**2/2 + 12892. Suppose p(j) = 0. What is j?
-149/4, -1, 0, 1
Let -2/9*n**5 + 24 + 208/9*n + 58/9*n**4 - 34/3*n**3 - 170/9*n**2 = 0. What is n?
-1, 2, 27
Suppose k - 4*r + 8 = -0*r, 4*r + 8 = 5*k. Suppose -k*f + 38 = 30. Let f*d**2 + 6*d + 3*d**3 - 14*d - d**4 + 2*d**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
*4
Let k(m) = -4*m. Let z(d) = -107*d + 24*d + 326*d. Determine z(k(s)).
-972*s
Let n(y) = -39959*y**2. Let q(b) = -b**2. Give q(n(m)).
-1596721681*m**4
Let j(n) = -n**2 - n + 12. Let w be j(3). Let i(v) be the third derivative of w + 0*v - 1/30*v**5 - v**2 + 0*v**3 + 0*v**4. Let q(d) = -2*d. What is i(q(b))?
-8*b**2
L... | {
"pile_set_name": "DM Mathematics"
} |
+ 867*s - 1170 = 0 for s.
-39, -3, 1, 10
Suppose y**3/3 + 250076*y**2/3 + 250075*y/3 = 0. What is y?
-250075, -1, 0
Factor 2*s**2 + 4802*s + 156288.
2*(s + 33)*(s + 2368)
Factor -2*o**3/9 - 2282*o**2/9 - 654350*o/9 - 647522/3.
-2*(o + 3)*(o + 569)**2/9
Suppose -4*i**4 + 2468*i**3 + 4984*i**2 - 19808*i = 0. What is i?
... | {
"pile_set_name": "DM Mathematics"
} |
*a(r) + 16*w(r). Determine f(o(j)).
24*j**2 - 1
Suppose -5*u + 3*r = -82, r = -3*u + 5*r + 58. Let p(d) = 4*d + 14 - u. Let k(s) be the second derivative of s**3/2 - 7*s. Calculate k(p(c)).
12*c
Let k(h) = 43 - 89 - 8*h**2 + 46. Let y(q) be the third derivative of -q**7/1260 + q**4/24 - q**2. Let p(u) be the second der... | {
"pile_set_name": "DM Mathematics"
} |
- 3*r**3 + 3*r**3 + 2*r**4.
-52*r**4
Expand (5*z - 4*z + z)*(3*z + 2*z - 4*z)*(z**3 + 0*z**3 + 0*z**3).
2*z**5
Expand (0*h - h - h)*(-h**2 + 4*h**2 - h**2) - 1 + 1 - 2*h**3 + h**3 + 0 + 0 - 2*h**2 + 3*h**3 - 3*h - 3*h**3 + h**3.
-4*h**3 - 2*h**2 - 3*h
Expand (0*f - 4*f + 0*f)*(-3*f - 26*f - 3*f).
128*f**2
Expand (-f**... | {
"pile_set_name": "DM Mathematics"
} |
q**4 + 2*q**4 + (-1 + 1 - 3*q**3)*(q + 1 - 1).
3*q**4
Expand (0*o + o - 3*o)*(-5 + 5 + 2*o) + (-3*o + 6*o - o)*(0 + 0 + o) + o**2 + 2*o**2 - 2*o**2 + 1 - 1 - 2*o**2 - 5*o**2 + 3 - 3 - o**2 + 8*o**2 + 5*o**2.
4*o**2
Expand (2*d + 0*d - 6*d)*(1 - 1 - 2*d)*(-64 - 5 + 316 - 10).
1896*d**2
Expand 246*g - 3*g**5 - 229*g**2 ... | {
"pile_set_name": "DM Mathematics"
} |
45*a**2*l - a**2*q - q wrt a?
-24*a*l*q - 1080*a*l - 12*l*q
Differentiate -114*o*s**2*z + 5*o*s*z**2 - 235*s**2*z**2 + 2*s**2 + 2*s*z**2 with respect to o.
-114*s**2*z + 5*s*z**2
What is the third derivative of 7806*f**5 + 155*f**2 - 8 wrt f?
468360*f**2
Find the third derivative of 8*a**2*d*w**3 - a**2*w**2 + 23*a**2*... | {
"pile_set_name": "DM Mathematics"
} |
3*a**3. Calculate o(z).
13
Let n(p) be the third derivative of 0*p - 5/6*p**3 - 1/20*p**5 + 29*p**2 + 0 + 7/24*p**4. Give n(4).
-25
Let v(i) = -i**3 - 16*i**2 - 4. Let g be v(-16). Let x(c) = c - 1. What is x(g)?
-5
Suppose -3*v + 5 = -1. Let z(q) = -2*q**2 - 1 + 3*q**v - 2*q**2 - q. Calculate z(0).
-1
Let p(h) be the ... | {
"pile_set_name": "DM Mathematics"
} |
Let p(g) = 1. Let q(j) = -2*j**2 + 2*j - 7. Suppose 0 = -0*c - 4*c + 8. Suppose 7*i - c*i - 30 = 0. Calculate i*p(r) + q(r).
-2*r**2 + 2*r - 1
Let j(n) = 8*n**3 + 3*n**2 - 3*n + 1. Let u(g) = -9*g**3 - 4*g**2 + 4*g - 2. Determine 4*j(q) + 3*u(q).
5*q**3 - 2
Let t(y) = -8*y. Let j be ((-2)/3)/(4/6). Let k(f) = 7*f - 9. ... | {
"pile_set_name": "DM Mathematics"
} |
53, 118993?
-w**3 + 3312*w**2 - w - 17
What is the u'th term of -5673, -5653, -5633, -5613?
20*u - 5693
What is the l'th term of -877, -3537, -7985, -14227, -22269?
-l**3 - 888*l**2 + 11*l + 1
What is the r'th term of -1372, -1056, -740, -424, -108?
316*r - 1688
What is the o'th term of -20, 16, 158, 460, 976, 1760, 28... | {
"pile_set_name": "DM Mathematics"
} |
2*k**2 - 1 wrt r?
-8778*d*k**2 - 12*d*r - 594*d
Find the second derivative of -3*m**4 - 15338*m**3 - 4*m**2 + 51547757*m wrt m.
-36*m**2 - 92028*m - 8
Find the second derivative of -a**4 - 44447*a**3 + 339*a**2 - 136534852*a wrt a.
-12*a**2 - 266682*a + 678
What is the third derivative of -382258543*g**5 + g**2 - 1035... | {
"pile_set_name": "DM Mathematics"
} |
s -12*c(h) + w(h)?
-2*h**2 + 4*h - 2
Let o(l) = l**3 + l**2 - 1. Let c(j) = 3*j**3 + 16*j**2 - 3*j - 1. Let g(x) = -4*x**3 - 36*x**2 + 7*x + 1. Let b(y) = 14*c(y) + 6*g(y). Give 3*b(k) - 24*o(k).
30*k**3
Let l(o) = 4*o + 2. Let t(k) = 28*k + 28. What is 4*l(x) - t(x)?
-12*x - 20
Let u be (-12)/(-30)*(5 - 8 - 2). Let l(... | {
"pile_set_name": "DM Mathematics"
} |
*o**2 - 28 - 4*o**3 - 2*o = 0. What is o?
-14, -1, 1
Suppose 11/2*u**2 + 26 - 125/4*u - 1/4*u**3 = 0. What is u?
1, 8, 13
Let f(r) be the first derivative of r**6/5 - 13*r**5/20 + r**4/4 + 3*r**3/2 - 54*r**2 - 22. Let m(y) be the second derivative of f(y). Factor m(s).
3*(s - 1)**2*(8*s + 3)
Let n be (-4 - 2) + 1 - -27... | {
"pile_set_name": "DM Mathematics"
} |
**(-2340)
Simplify g**(-8)/g**(-2/53)*g/g**34*g**(-3/14) assuming g is positive.
g**(-30553/742)
Simplify v*v/v**(-3/20)*v*v*v*v**(2/15)*v**(-3/5)*v**(-9) assuming v is positive.
v**(-259/60)
Simplify (r/r**(-9))/r*r**(-8)/r*(r/(r**9/r))**(-45) assuming r is positive.
r**315
Simplify ((w**(-9/8)/w)/(w**(-7/5)*w))/(w*w*... | {
"pile_set_name": "DM Mathematics"
} |
).
1176*m**4
Expand -3242 + 3242 - 277*t - 1 + 1 - t + (-4*t + 4*t - t)*(4 - 1 - 2).
-279*t
Expand (-5 + 5 + 1)*(-59 - 17 - 9*s**2 + 74 - 2*s**4 + 4*s).
-2*s**4 - 9*s**2 + 4*s - 2
Expand 4*l**4 - l**4 - 2*l**4 + (-134*l**4 - 119*l**4 + 238*l**4)*(-3 + 1 + 1).
16*l**4
Expand 0*i**5 + 3*i**5 + i**5 - 4*i**2 + 4*i**2 + 2*... | {
"pile_set_name": "DM Mathematics"
} |
2, 161, 140, 83?
-c**3 - 3*c**2 + 67*c + 5
What is the t'th term of -45, -100, -165, -246, -349?
-t**3 + t**2 - 51*t + 6
What is the s'th term of 963, 1927, 2891?
964*s - 1
What is the h'th term of 24, 114, 264, 474, 744, 1074?
30*h**2 - 6
What is the y'th term of -60, -31, 24, 111, 236, 405, 624?
y**3 + 7*y**2 + y - 6... | {
"pile_set_name": "DM Mathematics"
} |
v(f) wrt f.
-27*f**2
Let k(n) = -2*n**4 - 3*n**2 - n. Let l(b) = 5*b**4 + 7*b**2 + 2*b. Let r = -11 - -4. Let t(f) = r*k(f) - 3*l(f). What is the second derivative of t(i) wrt i?
-12*i**2
Let g(n) = n**3 + n**2 - n - 1. Let a(x) = -20*x**3 - 4*x**2 + 2*x - 9. Let m(t) = a(t) + 2*g(t). Differentiate m(p) wrt p.
-54*p**... | {
"pile_set_name": "DM Mathematics"
} |
f t**5/30 + t**4/6 - t**3 - 11*t**2 + 3. Let r be d(6). Suppose -p = 5*p - r. Solve 6*h = h + p for h.
3
Suppose -44*j + 179 = -43*j. Let p = j + -175. Solve 7*g - 5*g = p for g.
2
Let a(l) be the third derivative of -37*l**6/120 + l**5/30 - 5*l**4/24 + l**3/2 + 31*l**2. Let b be a(1). Let n = -35 - b. Solve -2*p - 6 =... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 2*g**2 - 3*g**2)*(4 + 1 - 3) - 10*g**2 + 29*g**2 - 130*g**2 - g**2 + 2 - 2 in the form r + k*g**2 + l*g and give k.
-122
Rearrange (4 - 1 - 1)*(3 - 3 + 2*k)*(-53*k + 71*k - 50*k) to the form a*k**2 + v + c*k and give v.
0
Rearrange g + 7*g**2 - 380*g**3 + 189*g**3 + 189*g**3 + 10 to s + r*g**3 + d*g**2 + p*g and g... | {
"pile_set_name": "DM Mathematics"
} |
+ (-k + 0*k + 3*k)*(-1 + 3 + 0) + 2*k + 0*k - 3*k.
4*k
Expand -t**2 + 0*t**2 - 3*t**2 + 2 - 2 + 2*t**2 + t**2 - 1 + 1 + (-2 + 2*t + 2)*(-3*t + 0*t + 4*t).
t**2
Expand (6*n**2 + n**3 - 9*n**2 - 3*n**3)*(-3*n**2 + 2*n**2 + 3*n**2).
-4*n**5 - 6*n**4
Expand p - 7*p + 2*p + (5*p + 3*p - 6*p)*(1 - 2 + 0) - p + 0 + 0 - 2*p - ... | {
"pile_set_name": "DM Mathematics"
} |
5)**(-2/15)*(p/(p*p**(-4/7)))**(-2/7) assuming p is positive.
p**(-122/147)
Simplify (s**6)**(6/13)*(s*s**(1/12)*s*s)**(-29/5) assuming s is positive.
s**(-11789/780)
Simplify ((k**(1/11)*k)/(k/((k/(k*k**(-3)))/k*k)*k))/((k/(k*k/(k/k**(-7)))*k)/(k/k**(3/16))) assuming k is positive.
k**(-897/176)
Simplify ((d*d*d**(-9/... | {
"pile_set_name": "DM Mathematics"
} |
/10)
Simplify (n**2/n**2)/(n**(-3/8)/((n*n/(n*(n/((n*n/(n**(3/8)/n))/n*n))/n*n)*n*n)/n))*(n**(-6)*n*n/(n**(-1/4)*n))**(-49) assuming n is positive.
n**(947/4)
Simplify (c**(-1/16)*c)/c*c**11*c**(1/4)/c**17 assuming c is positive.
c**(-93/16)
Simplify ((b**(1/4))**(-1/57)/(b**(-12)/b*b*b*b*b**(-2/35)))**(-1/12) assuming... | {
"pile_set_name": "DM Mathematics"
} |
s*j(c) - 7*p(c)?
-c**2 + 2
Let x(y) = -y - 3. Let q(n) = -18. Calculate -3*q(j) + 18*x(j).
-18*j
Suppose 2*h - 2*g + 7*g - 3 = 0, 2*h + 5 = 3*g. Let d(o) = -o**3 + o**2. Let v(w) = 4*w**3 - 2*w**2 - 4*w. What is h*v(k) - 2*d(k)?
-2*k**3 + 4*k
Let n(u) = -u**2 - u. Let x(v) = 8*v**2 - 5*v. Let i(k) = -n(k) + x(k). Let l... | {
"pile_set_name": "DM Mathematics"
} |
nd the second derivative of -2*s**5 + 697*s**4*y + 2*s*y + 5*y + 43 wrt s.
-40*s**3 + 8364*s**2*y
What is the derivative of 58*p**3 + 124?
174*p**2
Find the second derivative of 192*o**4*w**2 + 3*o**3*w**2 - 13*o*w**2 + 3*o + w**2 wrt o.
2304*o**2*w**2 + 18*o*w**2
Differentiate s**2 - 30*s + 28.
2*s - 30
What is the se... | {
"pile_set_name": "DM Mathematics"
} |
**4/2 - 2752*s**3/3 - 11857*s. Find the second derivative of a(l) wrt l.
-12*l**2 - 12*l + 756
Let b(i) be the second derivative of 2081*i**4/6 + 3113*i**3/2 - 11221*i. What is the second derivative of b(v) wrt v?
8324
Let w(q) = q**3 - 2*q**2. Let x(d) = 236*d**4 - 3*d**3 + 6*d**2 + d + 1201. Let b(m) = 3*w(m) + x(m).... | {
"pile_set_name": "DM Mathematics"
} |
tiple of 3?
False
Let m(l) = -6 - 2 + 12*l**2 + 4 - 20*l - l**3 - 5. Is m(8) a multiple of 29?
True
Let s(k) = -3*k**3 + 2*k. Suppose -5*u - 14 = -4. Does 12 divide s(u)?
False
Let x(i) = 5*i**2. Suppose 0 = 3*j - 34 + 49. Is 5 a factor of x(j)?
True
Let z = -11 + 11. Suppose -4*p - p + 80 = z. Let g = p - -40. Is g a ... | {
"pile_set_name": "DM Mathematics"
} |
ose -14*p - 1555002 = -7924232. Is p a composite number?
True
Let m(k) be the third derivative of 3*k**6/20 - k**5/30 + 11*k**4/24 - 13*k**3/3 - 11*k**2. Let y(t) be the first derivative of m(t). Is y(-5) a prime number?
True
Let s(p) = -35*p + 83 + 61*p - 3*p**2 + p**3 - p**2 - 15*p**2. Is s(29) prime?
False
Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
7)
Simplify 6*-1*(sqrt(76)/sqrt(4) + sqrt(19)) + sqrt(76)/(sqrt(64) - sqrt(4)) + sqrt(190)/(sqrt(30)/sqrt(3)).
-32*sqrt(19)/3
Simplify (0 + (-6*1*sqrt(242) - 6*sqrt(242)*1))**2.
34848
Simplify (sqrt(96) + sqrt(96) + sqrt(96) + -1*(sqrt(96)*-2 - sqrt(96)))/(6*(sqrt(2) + sqrt(18))).
sqrt(3)
Simplify -6*(4*-2*sqrt(1617))/... | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of -n**6/15 - n**5/10 + n**4/4 + 7*n**3/6 + 17*n**2. Let v(b) = -9*b**3 - 7*b**2 + 7*b + 8. Give 7*f(d) - 6*v(d).
-2*d**3 + 1
Let t(z) be the second derivative of -z**3/6 - 5*z**2/2 - 7*z. Let v(g) = 1. What is -t(m) - 6*v(m)?
m - 1
Let n(b) = -170*b**2 - 11. Let h(f) = 57*f**2 + 4. Determine -11*h(r) - 4... | {
"pile_set_name": "DM Mathematics"
} |
d))?
246*d - 1107
Let h(a) be the third derivative of -11*a**4/24 - 14*a**2. Let n(s) = -s**2. Calculate n(h(d)).
-121*d**2
Let g(x) = 2*x**2 - 13. Let i(n) = -n**2 + 6. Let c(z) = 6*g(z) + 13*i(z). Let j(a) = -4*a**2. Calculate j(c(k)).
-4*k**4
Let b(m) = m**2. Let x = 25 + -19. Let o(j) be the third derivative of -j*... | {
"pile_set_name": "DM Mathematics"
} |
x**2).
-16*x**4
Expand -3*l**2 + 4*l**2 + 3*l**2 + (-1 - l + 1)*(-12*l + 21*l - 9 - 6*l).
l**2 + 9*l
Expand (-40 + 40 + 10*s**4 + (0*s + 0*s + 4*s**2)*(0 - s**2 + 0))*(-s + 2*s + 3*s).
24*s**5
Expand (3*q - q + 0*q)*(-5 + 1 + 2) - 14*q - 6*q + 29*q - q + 3*q + 0*q.
7*q
Expand -y**5 + 0*y**5 + 3*y**5 + (-7*y**2 + 6*y**2... | {
"pile_set_name": "DM Mathematics"
} |
n(k) = -10*k - 14. Let h(f) = -14*f - 30. What is 2*h(l) - 5*n(l)?
22*l + 10
Let w(g) = -17*g**2 - 3*g + 755. Let t(h) = -4*h**2 - h. Calculate 4*t(x) - w(x).
x**2 - x - 755
Let s(x) = 11*x**2 + 6*x + 3. Let z(n) = -n**2 + 2*n - 2. Calculate -s(t) - 4*z(t).
-7*t**2 - 14*t + 5
Let u(y) = -85*y**2 - 25*y + 25. Let k = 8... | {
"pile_set_name": "DM Mathematics"
} |
1*c. Let a(x) = 29*x**3 - 9*x**2 - 23*x + 6. Let m(n) = -a(n) + 3*u(n). What is the second derivative of m(q) wrt q?
-138*q + 12
What is the first derivative of -778*y - 1521 - 84187*y**2 + 84190*y**2 - 6947 - 4516 wrt y?
6*y - 778
Let f(d) be the first derivative of -5*d**5 - 21*d**4/4 - 3425*d**3/3 - 703. Find the th... | {
"pile_set_name": "DM Mathematics"
} |
80*q**2 wrt i.
629496*i*q + 2832*q**2
What is the third derivative of 7787442*h*s**3 - 955*h*s**2 + 122*h - s**3 wrt s?
46724652*h - 6
What is the second derivative of 2*d**2*y**2 + 9646*d**2*y + 61*d**2 - 13*d - 219818*y**2 wrt d?
4*y**2 + 19292*y + 122
Find the second derivative of -211346*i**3 + 4*i**2 - 1408*i - 70... | {
"pile_set_name": "DM Mathematics"
} |
/(c/c**(-3)*c) assuming c is positive.
c**(-41/40)
Simplify s**(2/33)/s**(-22/7) assuming s is positive.
s**(740/231)
Simplify ((((w*w/(w**0*w)*w*w*w)/w*w)/w*w)/w)**15/((w/w**2)/w*w*w*(w/w**1)/w) assuming w is positive.
w**46
Simplify p/(p**(-7)/p)*p/(p/(p/(((p*p**(-3/8))/p*p)/p)*p))*(p*p**6)/((p*p*p**(1/13)*p*p)/p) as... | {
"pile_set_name": "DM Mathematics"
} |
+ (3*g - 3*g - 5*g)*(1 + 5 - 5).
-18*g - 2
Expand (1 - 2 + 0)*(-2*i**3 + 0 + 0) + (-i + 2*i + 0*i)*(-4*i**2 + i**2 + 2*i**2) + 49*i**3 + 36*i**3 - 124*i**3 - i + i - i**3.
-39*i**3
Expand -4*l**2 - 5*l**2 + 4*l**2 + (4 - 2 - 3)*(-1 + 2*l**2 + 1) - l**2 + 2*l**2 + 3*l**2 + (6*l - 4*l - l)*(-5*l + 2*l + l) + 2*l**2 + 6*... | {
"pile_set_name": "DM Mathematics"
} |
*3*s**2 - 63*h**3
Differentiate -3*t**4 - 70*t + 184 wrt t.
-12*t**3 - 70
Find the third derivative of 3*g**4 + 477*g**3 + 840*g**2.
72*g + 2862
Differentiate -1136*g**2 + 1702.
-2272*g
Differentiate 2*j**4*n - 2*j**3*n - 20*j*n - 21664*n wrt j.
8*j**3*n - 6*j**2*n - 20*n
What is the first derivative of 182*d*m**3 - d*... | {
"pile_set_name": "DM Mathematics"
} |
6*w**2
Let r(p) be the second derivative of p**4/6 + p**3/3 + p**2/2 + 2625*p + 2. Let j(q) = 1. Calculate -2*j(b) - r(b).
-2*b**2 - 2*b - 3
Let g(a) = 14*a - 5. Let b = 89 + 34. Let u(n) = n - 68 + b - 56. What is -g(t) + 5*u(t)?
-9*t
Let o = 7 - 15. Let x be ((-15)/20)/((-1)/8*2). Let n(b) = 5*b - 1. Let t(k) = -2*k... | {
"pile_set_name": "DM Mathematics"
} |
implify ((g/(g*g**(-1/3)*g)*g)**(-11)/(g**1/(g*g**6)))**20 assuming g is positive.
g**(140/3)
Simplify (k**(-38)*k**(5/6))**(-2/155) assuming k is positive.
k**(223/465)
Simplify ((n**(2/5)*n)/n)**24*(n**(-1)/n)/n**(-2/7) assuming n is positive.
n**(276/35)
Simplify (t**(2/9))**12/(t**6)**(-18) assuming t is positive.
... | {
"pile_set_name": "DM Mathematics"
} |
3. Let z(d) = 11*k(d) + 4*l(d). Calculate m(y) - 5*z(y).
-2*y**2 - y + 1
Let b(q) = 76*q**3 - 28*q**2 + 4*q + 5. Let l(o) = 153*o**3 - 49*o**2 + 7*o + 10. Give -7*b(j) + 4*l(j).
80*j**3 + 5
Let z(a) be the first derivative of -a**4/4 - a**2/2 - 6109. Let m(p) be the third derivative of -p**6/20 - 5*p**4/24 + 2*p**2. W... | {
"pile_set_name": "DM Mathematics"
} |
j - 1)**3*(9*j - 2)
Determine o, given that 10/9*o**3 + 44/3*o**2 + 16/9 - 50/9*o**4 + 88/9*o = 0.
-1, -2/5, 2
Factor -5/2*z**3 + 0 + 0*z + 0*z**2 - 15/2*z**4.
-5*z**3*(3*z + 1)/2
Let d(m) be the second derivative of 1/2*m**2 - m + 1/12*m**4 - 1/3*m**3 + 0. Let d(x) = 0. Calculate x.
1
Let g(a) be the third derivative ... | {
"pile_set_name": "DM Mathematics"
} |
4*h**2 - 2*h**2 + 2*h**2 - 2*h + 2*h + 3*h**2 + 0*h**2 - h**2 - 2*h**2 + 8*h**2 + 4*h**2.
16*h**2
Expand (3 + x - 3 + (-2 - 2 + 2)*(2 - 2 + 3*x))*(2*x + 2 - 2).
-10*x**2
Expand (0*d + 4*d - 2*d - d**2)*(-1 - 2*d + 1)*(2*d**2 - d**2 + 0*d**2).
2*d**5 - 4*d**4
Expand (-2*n + 5*n - n)*(2*n - n + 0*n) - 11*n**2 + 0 + 0.
-... | {
"pile_set_name": "DM Mathematics"
} |
3 - 1 - 1) - 1 + 2 - 2).
221*b
Expand (-n + 0*n - 2*n)*(1 + 2 + 8)*(0 + 0 + 4)*(n - 3*n + 0*n).
264*n**2
Expand (-2*z**3 + 4*z - 4*z)*(-355*z**2 - 157*z**2 - 29*z**2 + 61*z**2).
960*z**5
Expand (-94 + 94 + 152)*(-8 + 8*u**3 + 8 + 2*u**3 - u**3 + 0*u**3 + (-4*u**2 + 3*u**2 + 2*u**2)*(u + u - 4*u)).
1064*u**3
Expand (69*... | {
"pile_set_name": "DM Mathematics"
} |
ctor 3/7*i**2 + 0 + d*i.
3*i*(i + 1)/7
Suppose y = -0 + 4. Let l(t) = 2*t**2 + 4*t - 2. Let q(o) = -o. Let a(i) = y*q(i) + l(i). Solve a(s) = 0.
-1, 1
Let t(s) = -s**3 + s**2 + 1. Let j(r) = 8*r**3 + 16*r**2 + 48*r + 31. Let u(z) = j(z) + 5*t(z). Determine f so that u(f) = 0.
-3, -2
Let h(c) be the third derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
fferentiate y(r) wrt r.
16*r**3 + 9*r**2
Let m(c) be the first derivative of c**3 + 0*c + 168 + 169/6*c**6 + 0*c**5 + 0*c**2 + 0*c**4. Find the third derivative of m(r) wrt r.
10140*r**2
Let h(j) be the third derivative of 1/24*j**4 + 0*j + 53/40*j**6 + 152*j**2 + 1 + 61/60*j**5 + 0*j**3. Find the third derivative of h... | {
"pile_set_name": "DM Mathematics"
} |
f 3/2*r**4 + 0*r + 0*r**3 + n*r**2 + 1. Find the second derivative of q(g) wrt g.
36*g
Let t(k) = -881*k**2 - 2*k + 39. Let p(n) = -882*n**2 - 3*n + 28. Let v(x) = 4*p(x) - 3*t(x). What is the second derivative of v(y) wrt y?
-1770
Suppose 171*i - 152*i = 0. Let x(s) be the second derivative of 0 + i*s**2 - 2*s - 11/12... | {
"pile_set_name": "DM Mathematics"
} |
2 + h*p and give j.
-1
Express -56*k**3 - 3*k**2 - 4 - 65*k**3 - k + 119*k**3 as o*k**3 + w + q*k**2 + n*k and give q.
-3
Rearrange -b**3 + 4*b**3 - 2*b**3 + (0*b + 0*b + 2*b)*(-4*b**2 + 4*b**2 + 5*b**2) to the form z*b + n + g*b**2 + r*b**3 and give r.
11
Express -6*j - j**3 - 2*j**2 + j**2 + 2*j + 3*j in the form h +... | {
"pile_set_name": "DM Mathematics"
} |
p**(-130/3)
Simplify d**(-1/2)*d*(d*d**(4/7)*d*d)/d*((d*d**19)/d)/d*d/d**1 assuming d is positive.
d**(295/14)
Simplify (b**0)**(-5)*b*b**(-1)/b*((b*b*b**1)/b)/b assuming b is positive.
1
Simplify ((f/(f/(f**(-2/69)/f)))/f)/f**(-2/43)*(f**(-3/4))**41 assuming f is positive.
f**(-388469/11868)
Simplify t**(-11)*t*(t**(-... | {
"pile_set_name": "DM Mathematics"
} |
-19*w
Collect the terms in 649 - 221 - 6*v**2 - 214 - 214.
-6*v**2
Collect the terms in 157*f**3 + 41*f**3 - 78*f**3 + 124*f**3.
244*f**3
Collect the terms in -7*q + 4*q - 4*q + 6*q - 10*q.
-11*q
Collect the terms in -4 + 1542*x**2 - 773*x**2 + 4 - 770*x**2.
-x**2
Collect the terms in -29 + 6*f + 29 - 9*f.
-3*f
Collec... | {
"pile_set_name": "DM Mathematics"
} |
37)))/n assuming n is positive.
n**(-125/259)
Simplify (d**1)**(-10)/(d**(-1/3)*d)**28 assuming d is positive.
d**(-86/3)
Simplify (k*k*(k/(k/k**(-1)))/k)**(-6/13)/((k/((k/((((k**(3/5)*k)/k*k)/k)/k))/k)*k)/k*(k*k**(-4))/k) assuming k is positive.
k**(17/5)
Simplify (o*o/o**3)**3 assuming o is positive.
o**(-3)
Simplify... | {
"pile_set_name": "DM Mathematics"
} |
in -879 + 1889*r**2 - 1889*r**2 + 0*r**3 - 3*r**3.
-3*r**3 - 879
Collect the terms in -38*j - 718*j - 451*j.
-1207*j
Collect the terms in -2*u + 2*u + 980*u**3 - 963*u**3.
17*u**3
Collect the terms in -409*x**2 - 534*x**2 + 945*x**2.
2*x**2
Collect the terms in -43125581*h + 2*h**3 + 43125581*h.
2*h**3
Collect the ter... | {
"pile_set_name": "DM Mathematics"
} |
(f - 1)*(f + 222316)
Let 2*k**5/3 - 58*k**4/3 - 496*k**3/3 - 104*k**2 + 288*k = 0. Calculate k.
-6, -2, 0, 1, 36
Determine i so that -5*i**3 - 8040*i**2 + 8055*i + 16090 = 0.
-1609, -1, 2
Let -16*u**4 - 212*u**3 + 1884*u**2 + 2612*u + 532 = 0. What is u?
-19, -1, -1/4, 7
Factor j**3 - 1949*j**2 - 9854*j + 164136.
(j - ... | {
"pile_set_name": "DM Mathematics"
} |
180 - m**5/120 - 9*m**4/8 + m**3/6 - 8*m. Let d(c) be the second derivative of h(c). What is the tens digit of d(8)?
9
Suppose 5*h + 121 = -104. Let c be 18/h - 734/(-10). Let i = -50 + c. What is the tens digit of i?
2
Suppose 32*v - 65040 = 2*v. What is the units digit of v?
8
What is the tens digit of 1/((-4)/8) + 5... | {
"pile_set_name": "DM Mathematics"
} |
t g(n) = -n**3 + 6*n**2 + 7*n + 3. Let u(h) = 17 + h**3 - 4*h**3 + 11*h**2 + 11*h - 2*h**3 + 6*h**3. Let q be u(-10). What is g(q)?
3
Let y be 4/(-1) - (3 - 10). Let h be y/(-9) + (-80)/(-15). Suppose -2*p + 2 = v - 2, 2*p = -h*v + 4. Let a(s) = 6*s**2 - 2*s - 1. Determine a(p).
19
Let m(p) = -3*p - 6. Let o(g) = -10*g... | {
"pile_set_name": "DM Mathematics"
} |
o) = p*a(o) + 12*d(o). Determine t(w(y)).
9*y**4
Let f(z) = 6*z**2. Let a(m) = -4*m + 3*m - 10*m + 0*m. Calculate a(f(o)).
-66*o**2
Let q(u) = -u**2. Let z(c) = -21*c - 21. Let r(i) = -10*i - 10. Let f(g) = -5*r(g) + 2*z(g). Determine q(f(d)).
-64*d**2 - 128*d - 64
Let q(y) = y**2. Let s(v) = -19084*v. Give q(s(f)).
36... | {
"pile_set_name": "DM Mathematics"
} |
ive n(m).
-2
Let q(w) = -w**2 + 6*w - 6. Let y = -53 - -57. Determine q(y).
2
Suppose -5*v = 0, v - 4*v + 20 = 4*n. Let w = -37 + 38. Let j(o) = -o**3. Let u(y) = -5*y**3 - 4*y**2 - 4*y - 1. Let k(m) = w*u(m) - 6*j(m). Give k(n).
4
Let b be (-2)/(-4) + (-10)/4. Let q be b/(-4) - 17/(-2). Suppose 4*v + q = -7. Let f(w) ... | {
"pile_set_name": "DM Mathematics"
} |
-4/13)
Simplify ((u*(u**(-7)*u)/u)/(u/(u/(u/((u**(5/6)*u)/u)))))**14 assuming u is positive.
u**(-259/3)
Simplify ((v**(-1))**(6/17))**28 assuming v is positive.
v**(-168/17)
Simplify (m**(-1/18)/m)/((m/(m*m**(1/13)))/m)*(m/m**8)/m**(-2/25) assuming m is positive.
m**(-40357/5850)
Simplify (q*q**(-2/3)*q*q)**(2/7)/(q**... | {
"pile_set_name": "DM Mathematics"
} |
9. Give f(24).
-11
Let g(i) = 7*i**2 + 338*i + 82. What is g(-48)?
-14
Let a(n) = -23*n**2 + 5*n + 4. Give a(-1).
-24
Let c(o) = 49*o + 18. Calculate c(-2).
-80
Let f(o) = -43*o**3 - 224*o**2 - 49*o - 24. Determine f(-5).
-4
Let d(x) = -x**3 + 2*x**2 + 20*x - 23. What is d(-6)?
145
Let g(w) = -69*w**3 + 5*w**2 - 7*w + ... | {
"pile_set_name": "DM Mathematics"
} |
24*z
Let r(c) = -c**2 + 2*c - 2. Let u(p) = 3*p**2 - 5*p + 5. Let x(w) = -5*r(w) - 2*u(w). Let f(n) be the first derivative of n**2 + 1. Determine x(f(g)).
-4*g**2
Let o be (((-6)/(-9))/(-2))/(-10). Let y(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 0*n - 2*n**2 + o*n**5. Let z(c) = c. Determine z(y(s)).
2*s**2... | {
"pile_set_name": "DM Mathematics"
} |
0. Let u = 12 + t. Let p(d) = d**3 - d**2 - d - 3. Give p(u).
-3
Let h(n) = -n**3 + 10*n**2 - 9*n - 10. Let j be 4*2 - 3*8/(-24). Calculate h(j).
-10
Let u be (892/28 - -4) + 1/7. Let g be 24/u - 20/(-6). Let v(w) = w**3 - 3*w**2 - 4*w - 1. What is v(g)?
-1
Let y be 130/35 + 6/21. Let b(t) = t + 2. What is b(y)?
6
Let ... | {
"pile_set_name": "DM Mathematics"
} |
)*(m**2 + 3*m**5 - m**2).
-8*m**5
Expand -3*p**4 + 2*p**4 - 6*p**4 + (p - 3*p + p)*(2*p**3 - 2*p**3 + p**3) - p**4 + p**4 - 3*p**4.
-11*p**4
Expand (-1 - 2 + 1)*(-1 + 0 + 0)*(-z**5 - 4*z**5 + 3*z**5).
-4*z**5
Expand (-3 + 2 + 3)*(0*j**4 + 4*j**4 - j**4) - 22*j**4 + 22*j**4 - 15*j**4.
-9*j**4
Expand -2*b**4 + 0*b**4 + b... | {
"pile_set_name": "DM Mathematics"
} |
8234 = j. What is the tens digit of x?
5
Let y(x) = x**3 - 9*x**2 + 12*x - 20. Let w be y(8). Let a be 3/(13/w + (-7)/21). Suppose 0 = -3*v - 0*v + 5*p + 568, a = 4*p. What is the tens digit of v?
9
Let i(h) = -h**3 - 15*h**2 - 21 + 17*h - 7*h**2 + 9*h**2. Let n be i(-14). What is the tens digit of (n/12 - -4)*-28?
3
S... | {
"pile_set_name": "DM Mathematics"
} |
e of 211*m**2*n*v - 25*m**2*n + 2*m**2 - n*v - 647*v wrt n.
211*m**2*v - 25*m**2 - v
What is the second derivative of 137*o**2*v + 2*o**2 - 2*o - 91*v wrt o?
274*v + 4
What is the second derivative of -184*r**2 + 143*r + 1 wrt r?
-368
Find the third derivative of 889*a**3 - 1677*a**2 wrt a.
5334
Find the third derivati... | {
"pile_set_name": "DM Mathematics"
} |
4)/n)/n**(-1/6) assuming n is positive.
n**(14207/120)
Simplify ((l/l**(-2/7))/(l*l/(l/l**2)*l))/(((l**(-2/15)/l)/l)/(l**6/l))*(l**(-1/8)*l**(-4)/l)/((l/l**(-2))/(l*l/(l*l/(l**(-2/3)/l)))) assuming l is positive.
l**(-4513/840)
Simplify (l**(2/5)/l)/(l*l*l/(l*l**1*l))*l**2*l*l*l*l**(1/2)*l*l*l**(-2)*l*l*l**(-3)*l**(2/3... | {
"pile_set_name": "DM Mathematics"
} |
Simplify (-2*sqrt(180) - sqrt(180))**2 + ((3*sqrt(220))/sqrt(11))**2 + sqrt(20) - (-5 + -5*((1 + sqrt(320))*-3)**2).
722*sqrt(5) + 16250
Simplify -3*(sqrt(175) - sqrt(175)*4*-1) + (2*-5*((sqrt(175) - sqrt(175)*3) + sqrt(175)))**2 + 4.
-75*sqrt(7) + 17504
Simplify (((sqrt(330)*-1 + sqrt(330))*-4 - sqrt(330))/(-4*sqrt(4... | {
"pile_set_name": "DM Mathematics"
} |
5*f + 10*l - 8*l = -21. Let b(t) = -10*t**2 - 465*t - 5290. Let p(r) = -5*r**2 - 233*r - 2645. Let w(q) = f*b(q) + 5*p(q). Factor w(y).
5*(y + 23)**2
Determine w, given that -25/4*w**2 + 70*w - 5/4*w**3 + 75 = 0.
-10, -1, 6
Let s(n) be the second derivative of -n**5/60 - 7*n**4/36 + 23*n**3/6 - 39*n**2/2 - 2221*n. Wha... | {
"pile_set_name": "DM Mathematics"
} |
4*k + 938*k + 130*k**2.
-47*k**2 + 942*k
Collect the terms in -467887*w**2 + 467887*w**2 + 719*w**3.
719*w**3
Collect the terms in -28969*y**3 + 156 + 14486*y**3 + 14499*y**3 - 78 - 78.
16*y**3
Collect the terms in -37 - 2*l + 4088*l**2 + 36 + 2*l.
4088*l**2 - 1
Collect the terms in -1586*v**2 - 1781*v**2 + 2966*v**2.... | {
"pile_set_name": "DM Mathematics"
} |
(r) be the third derivative of r**2 + 0 + 0*r + 1/24*r**4 - 1/3*r**o + 1/60*r**5. What is u in f(u) = 0?
-2, 1
Suppose 7*y = 4 + 10. Suppose -2*n = -y*b - 10 - 12, -4*n + 2*b + 42 = 0. Factor -12*a**3 + 2*a**4 + n + 16*a**2 + 12*a - 11 - 17.
2*(a - 3)**2*(a - 1)*(a + 1)
Let y = 3440/3 + -24071/21. Let f(t) be the first... | {
"pile_set_name": "DM Mathematics"
} |
give f.
-25
Rearrange (4*n**2 - 14*n**3 - 3*n**2 + 4*n**3)*(n + n + 0*n) to the form h*n**4 + m*n + x*n**2 + t + z*n**3 and give z.
2
Rearrange -123*f**2 + 123*f**2 + 1 - 2*f**3 to the form p*f + q*f**3 + d*f**2 + s and give q.
-2
Express 14*l - 4*l**2 - 14*l + 2*l**2 - 16 in the form b + m*l**2 + k*l and give b.
-16
R... | {
"pile_set_name": "DM Mathematics"
} |
j**3 + j**2 + 2
Let a(c) = 2*c + 2. Let n(q) = q - 1 + 1 + 1. Suppose -3*j - j = 8, 2*b + 4 = 2*j. Let g(h) = -h**2 - 5*h + 2. Let o be g(b). Calculate o*n(t) - 2*a(t).
2*t + 2
Let y(l) = -2*l**3 + 2*l**2 - 9. Let q(i) = 5 + 15*i**2 + i**3 + i**2 - 17*i**2. What is -11*q(f) - 6*y(f)?
f**3 - f**2 - 1
Let q(t) = -2*t**3 ... | {
"pile_set_name": "DM Mathematics"
} |
terms in -t + 7*t + 3*t + 0*t.
9*t
Collect the terms in -2*j + 242451 - 242451 + 0*j.
-2*j
Collect the terms in 31*h - 51*h + 11*h.
-9*h
Collect the terms in 2 - 2 + 3*o**2 + 12*o**2.
15*o**2
Collect the terms in -k**3 - 10*k**3 + 16*k**3 - 12*k**3.
-7*k**3
Collect the terms in 2*t + 0*t - 4*t + 627.
-2*t + 627
Collect... | {
"pile_set_name": "DM Mathematics"
} |
a(h) = -h**3 - 11*h**2 - 14*h - 2. Determine a(-10).
38
Let l(f) = -f**2 + 10*f + 4. Calculate l(8).
20
Let j(r) = 49*r + 838. Determine j(-17).
5
Let c(k) = k**3 + 4*k**2 - 9*k - 3. What is c(-7)?
-87
Let h(q) = 5*q**2 - 6. Give h(4).
74
Let v(u) = -u**3 + 13*u**2 + 4*u - 40. Calculate v(13).
12
Let l(q) = 2*q**2 + 6*... | {
"pile_set_name": "DM Mathematics"
} |
- o**4 + o**4 - o**5 + (4*o**2 + 2*o**2 - 5*o**2)*(-o**3 + 2*o - 2*o).
1097*o**5
Expand (0*l + 4*l + l)*((1 - 1 + 3)*(0*l + 3*l + 7*l) + 3*l - 2*l - 3*l).
140*l**2
Expand -2*k**3 - 17*k + 17*k + (3*k**2 - 4*k**2 + 4*k**2)*(3*k - 4*k + 2*k) + 9*k - 10*k + k**3 + 6 - 43*k**2 + 42*k**2 + (4 - 4 + 4)*(3*k**2 - k**3 - 3*k**... | {
"pile_set_name": "DM Mathematics"
} |
u(d).
-6
Let h(y) = 4*y - 1. Let w(i) = 4*i - 1. Suppose 3*b - 4 = 11. Let p(a) = b*h(a) - 6*w(a). What is p(-2)?
9
Let v(g) be the second derivative of g**3/6 - 3*g**2 + 3*g. Determine v(5).
-1
Suppose -4*v + 3*v = -2. Let c(y) = -y**3 - y. Determine c(v).
-10
Let r(q) be the third derivative of q**8/6720 + q**7/420 ... | {
"pile_set_name": "DM Mathematics"
} |
t t(l) = -2*l**2 + 8. Let z(b) = 3*q(b) - 5*t(b). Differentiate z(u) wrt u.
-4*u
Let i(b) = -19*b**5 - 8*b**4 + 8*b**2 + 6*b. Let h(l) = -6*l**5 - 3*l**4 + 3*l**2 + 2*l. Let t(c) = -8*h(c) + 3*i(c). Find the second derivative of t(z) wrt z.
-180*z**3
Suppose 8*i - 3*i = -5*p + 10, i - p - 2 = 0. Let s(o) be the first d... | {
"pile_set_name": "DM Mathematics"
} |
et j(k) = 5*k**2 - 3*k + 0 + k**2 - 3 - 4*k**3. Let c(y) = r*j(y) + 3*v(y). Factor c(t).
-t**2*(t - 3)
Let r be 128 + (-5 - (-30)/2). Let y be r/(-23) + (6 - 0). Factor 0 + y*p - 2/3*p**4 - 2*p**2 - 8/3*p**3.
-2*p**2*(p + 1)*(p + 3)/3
Let d(v) be the second derivative of -v**6/15 + 6*v**5/5 - 25*v**4/3 + 28*v**3 - 45*v... | {
"pile_set_name": "DM Mathematics"
} |
-z**5/15 - 6*z**2. Let g(r) be the third derivative of 5*r**4/8 + r**2 - 40*r. Determine g(t(n)).
-60*n**2
Let f(a) = -4*a - 7*a + 9*a. Let y(c) = 3532 - c**2 - 3*c**2 - 3542 + 2*c**2. What is y(f(v))?
-8*v**2 - 10
Let t(z) = 3*z**2 + 3. Let k(c) = -1. Let j(d) = 3*k(d) + t(d). Let p(r) = 33*r**2 + 24*r**2 - 53*r**2. ... | {
"pile_set_name": "DM Mathematics"
} |
15 + 43197*t - 1015 - 43191*t.
6*t
Collect the terms in -3 + 132*r - 35*r**2 - 26*r**2 + 1 - 218*r**2 - 131*r.
-279*r**2 + r - 2
Collect the terms in 8*v - 3419 + 1126 + 2289.
8*v - 4
Collect the terms in 299833*g - 358*g**2 - 299833*g.
-358*g**2
Collect the terms in 24137*x**2 - 94055*x**2 - 84681*x**2 - 74815*x**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
t x = n + -14. What is the second derivative of -k**3 + k**3 + 21*k**4 - x*k - 17*k**4 wrt k?
48*k**2
Let x(z) be the second derivative of -1919*z**6/30 + 319*z**3/6 - 11*z**2/2 - 5259*z. What is the second derivative of x(q) wrt q?
-23028*q**2
Suppose 5*c - 50 = 3*i, 1 + 11 = c - i. Find the second derivative of -x**3... | {
"pile_set_name": "DM Mathematics"
} |
plify (n/n**22)**(-1/13) assuming n is positive.
n**(21/13)
Simplify (f/((f*((f*f**(-2))/f)/f*f*f)/f*f*f)*f**(-2/13))/(f*f**0)**(20/9) assuming f is positive.
f**(-278/117)
Simplify l**29*l**(4/5) assuming l is positive.
l**(149/5)
Simplify h**(-9/5)*((h*h**(-1/46))/h)/h assuming h is positive.
h**(-649/230)
Simplify (... | {
"pile_set_name": "DM Mathematics"
} |
t**(-1/4)*t*t)/t)/t)))/(t**5*t**(-2)))/(((t/t**(2/9)*t)/((t*t**1)/t))/(t**(5/6)/t**(-2))) assuming t is positive.
t**(209/36)
Simplify ((k/(k**4*k))/(k/(k*k/(k/((k/k**(-6))/k)))))/((k**(2/7)*k)/k*k*(k/(k**(1/4)*k))/k*k)*(k*k**(-2))**23*(k*k*k**(1/4)/k*k*k)**25 assuming k is positive.
k**(829/14)
Simplify (i**2)**(-37)/... | {
"pile_set_name": "DM Mathematics"
} |
11*g**2. Let b(h) be the first derivative of r(h). Give q(b(y)).
3200*y**4
Let b(q) = 2363*q. Let r(u) = 87*u**2 + 3. Let a(p) = -115*p**2 - 4. Let t(g) = -3*a(g) - 4*r(g). Determine b(t(m)).
-7089*m**2
Let u(n) = -11524*n**2. Let d(l) = 873*l. Calculate u(d(f)).
-8782774596*f**2
Let l(f) be the first derivative of 7*f... | {
"pile_set_name": "DM Mathematics"
} |
hat is k?
0, 2, 35
Determine r so that 3*r**3/4 - 33*r**2/4 + 93*r/4 - 63/4 = 0.
1, 3, 7
Let -3*r**4/11 - 58*r**3/11 - 316*r**2/11 - 342*r/11 - 81/11 = 0. What is r?
-9, -1, -1/3
Let -2*g**5/7 - 10*g**4/7 + 12*g**3/7 = 0. Calculate g.
-6, 0, 1
Factor c**2 - c - 6.
(c - 3)*(c + 2)
Determine y, given that 6*y**4 - 44*y**... | {
"pile_set_name": "DM Mathematics"
} |
- 490*h
What is the first derivative of 45777318*f**4 - 29101583?
183109272*f**3
What is the first derivative of -5*t**4 + 313476*t**2 - 11263668 wrt t?
-20*t**3 + 626952*t
Differentiate -715460476*f + 578065591 wrt f.
-715460476
Find the second derivative of 231168849*z**2 - 246485515*z wrt z.
462337698
Find the secon... | {
"pile_set_name": "DM Mathematics"
} |
f - 1293732 = 0.
-33, -9, -1
Factor x**2/5 - x/5 - 12/5.
(x - 4)*(x + 3)/5
Find i, given that 5*i**5 - 70*i**4 + 360*i**3 - 880*i**2 + 1040*i - 480 = 0.
2, 6
Factor 3*n**4 + 39*n**3 + 141*n**2 + 177*n + 72.
3*(n + 1)**2*(n + 3)*(n + 8)
Factor 290*z**2/9 + 32*z/3 - 8/9.
2*(5*z + 2)*(29*z - 2)/9
Let 2*t**3 - 34*t**2 + 12... | {
"pile_set_name": "DM Mathematics"
} |
).
k*(k - 3)*(k - 1)*(k + 1)
Let l(g) = -g**2. Let w(v) = -v**3 + 3*v**2 + 5*v + 2 - 5*v**2 + 0 + 2*v**3. Let b(a) = 6*l(a) - w(a). Factor b(y).
-(y + 1)**2*(y + 2)
Determine j, given that -9/2*j**4 + 0 + 5/2*j**2 - 1/2*j - 3/2*j**3 = 0.
-1, 0, 1/3
Let y(b) be the second derivative of 0 + 2/3*b**3 + 3*b + 1/60*b**5 + b... | {
"pile_set_name": "DM Mathematics"
} |
nd give o.
824
Rearrange -10*n**4 + 3*n**4 - 2*n**2 - 3*n**3 - 23*n**4 to the form l*n**2 + o*n**4 + g + c*n + v*n**3 and give o.
-30
Express 16*s**3 + 4*s**2 - 1 - 7*s**2 + 2*s - 15*s**3 as i*s + w*s**3 + u + p*s**2 and give i.
2
Express (-4*u - 2 + 0*u + u)*(-57*u**2 - 2 + 14*u**2 - 7*u**2 + 2*u) as a + f*u**3 + w*u*... | {
"pile_set_name": "DM Mathematics"
} |
*d
Collect the terms in 339*b**3 + 395*b**3 + 2870*b**3 + 24*b**2 - 9*b**2 - 12*b**2.
3604*b**3 + 3*b**2
Collect the terms in -157*o**3 - 96*o**3 + 2*o**2 + 494*o**3 - 167*o**3.
74*o**3 + 2*o**2
Collect the terms in -484*h**3 - 65*h + 231*h**3 + 222*h**3.
-31*h**3 - 65*h
Collect the terms in 4 - 6 - 12*q**2 + 202*q**2 ... | {
"pile_set_name": "DM Mathematics"
} |
ve h(b(u)).
-u**4
Let f(x) = -5*x**2. Let c(u) be the first derivative of 2*u**2 - 74. Give c(f(v)).
-20*v**2
Let b(i) = -5 - 5 - 312*i + 10. Let k(q) = -2*q**2. Calculate k(b(j)).
-194688*j**2
Let l(y) be the third derivative of -16*y**5/15 - y**3/3 + 413*y**2 + 2*y. Let x(u) = -7*u. What is x(l(q))?
448*q**2 + 14
Let... | {
"pile_set_name": "DM Mathematics"
} |
derivative of v(y) wrt y?
-66*y
Let r(u) be the third derivative of u**8/56 - u**5/12 - 5*u**2. Find the third derivative of r(d) wrt d.
360*d**2
Let b(h) = 2*h**2 + 43*h + 88. Let z(f) = f**2 + 22*f + 44. Let p(s) = -3*b(s) + 5*z(s). Differentiate p(u) wrt u.
-2*u - 19
Find the second derivative of -10*c**2 - 12*c + ... | {
"pile_set_name": "DM Mathematics"
} |
y**4 + 496566*y**2 - 31*y - 1 wrt y.
-8128925184*y
What is the derivative of 7116415*k*o**2 + 16062618*o**2 - 2*o - 1 wrt k?
7116415*o**2
What is the first derivative of 17807*a*o + 53*a + 23*o + 120914 wrt o?
17807*a + 23
Find the third derivative of -156913*h**4 - 17*h**3 + 50593352*h**2.
-3765912*h - 102
Differentia... | {
"pile_set_name": "DM Mathematics"
} |
s the second derivative of 104850694*n**5 - 394*n + 108963?
2097013880*n**3
Find the third derivative of 488388389*h**3 - 1229*h**2 + h + 37262.
2930330334
What is the second derivative of 111325*p**5 - 222*p**2 - 9*p - 14245841 wrt p?
2226500*p**3 - 444
Find the second derivative of 29435594*h**5 - 3096*h - 1478 wrt h... | {
"pile_set_name": "DM Mathematics"
} |
) = -4*k**2 - 2*k - 2*k + 4*k. Let s(c) be the second derivative of -1/12*c**4 + 0 + 0*c**3 - 17*c + 0*c**2. Give s(p(x)).
-16*x**4
Let c(q) = -1375*q - 34*q - 78*q. Let l(u) = 2*u. Calculate c(l(v)).
-2974*v
Let l(u) = u**2 + u + 1. Let n(w) = 5*w + 0*w - 6 + 3*w - 14*w. Let q(g) = -6*l(g) - n(g). Let i(c) = c**2. Cal... | {
"pile_set_name": "DM Mathematics"
} |
g'th term of 1000, 1024, 1086, 1204, 1396?
3*g**3 + g**2 + 996
What is the w'th term of -46, -158, -346, -610?
-38*w**2 + 2*w - 10
What is the f'th term of 199, 814, 1839, 3274, 5119, 7374, 10039?
205*f**2 - 6
What is the a'th term of -206, -428, -650?
-222*a + 16
What is the q'th term of -326, -318, -308, -296?
q**2 ... | {
"pile_set_name": "DM Mathematics"
} |
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